out := [[[1, 10, 6, 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, 10, 6, 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, 10, 6, 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]]]], [[2, 2, 4, 3, 1], [v = -2^(1/2), u = v,
x = 1, And(-2 < y,y < 2), z < -1], [regular_chain, [[-1482911/1048576, -741455
/524288], [-1482911/1048576, -741455/524288], [1, 1], [0, 0], [-2, -2]]]], [[2
, 2, 4, 3, 2], [v = -2^(1/2), u = v, x = 1, And(-2 < y,y < 2), z = -1], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [1, 1], [0, 0], [-1, -1]]]], [[2, 2, 4, 3, 3], [v = -2^(1/2), u = v,
x = 1, And(-2 < y,y < 2), And(-1 < z,z < 1)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1482911/1048576, -741455/524288], [1, 1], [0, 0],
[0, 0]]]], [[2, 2, 4, 3, 4], [v = -2^(1/2), u = v, x = 1, And(-2 < y,y < 2), z
= 1], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576,
-741455/524288], [1, 1], [0, 0], [1, 1]]]], [[2, 2, 4, 3, 5], [v = -2^(1/2), u
= v, x = 1, And(-2 < y,y < 2), 1 < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1482911/1048576, -741455/524288], [1, 1], [0, 0], [2, 2]]]],
[[3, 5, 7, 5, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1
)^(1/2)), 1 < x, u^2-v^2+x+1 < y, z = z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [0, 0], [2, 2], [3, 3], [0, 0]]]], [[4, 1, 6, 1, 1], [v = -\
1, u < -1, x = 1, y < -u^2-1, z < u], [regular_chain, [[-1, -1], [-2, -2], [1,
1], [-6, -6], [-3, -3]]]], [[4, 1, 6, 1, 2], [v = -1, u < -1, x = 1, y < -u^2-\
1, z = u], [regular_chain, [[-1, -1], [-2, -2], [1, 1], [-6, -6], [-2, -2]]]],
[[4, 1, 6, 1, 3], [v = -1, u < -1, x = 1, y < -u^2-1, And(u < z,z < -u)], [
regular_chain, [[-1, -1], [-2, -2], [1, 1], [-6, -6], [0, 0]]]], [[4, 1, 6, 1,
4], [v = -1, u < -1, x = 1, y < -u^2-1, z = -u], [regular_chain, [[-1, -1], [-\
2, -2], [1, 1], [-6, -6], [2, 2]]]], [[4, 1, 6, 1, 5], [v = -1, u < -1, x = 1,
y < -u^2-1, -u < z], [regular_chain, [[-1, -1], [-2, -2], [1, 1], [-6, -6], [3
, 3]]]], [[5, 4, 4, 4, 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, 4
, 4, 4, 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, 4, 4, 4, 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, 4, 4, 4, 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, 4, 4, 4, 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]]]], [[7, 1, 4, 5, 1], [And(0 < v,v < 1), u < -v, x = -1, u^2-v^2 < y
, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2], [-1, -1], [5
, 5], [-4, -4]]]], [[7, 1, 4, 5, 2], [And(0 < v,v < 1), u < -v, x = -1, u^2-v^
2 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2], [-1, -1
], [5, 5], [-2285319/1048576, -1142659/524288]]]], [[7, 1, 4, 5, 3], [And(0 <
v,v < 1), u < -v, x = -1, u^2-v^2 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2
+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-2, -2], [-1, -1], [5, 5], [0, 0]]]
], [[7, 1, 4, 5, 4], [And(0 < v,v < 1), u < -v, x = -1, u^2-v^2 < y, z = (u^2-
v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2], [-1, -1], [5, 5], [
1142659/524288, 2285319/1048576]]]], [[7, 1, 4, 5, 5], [And(0 < v,v < 1), u <
-v, x = -1, u^2-v^2 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2],
[-2, -2], [-1, -1], [5, 5], [4, 4]]]], [[9, 4, 3, 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, 4, 3, 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, 4, 3, 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, 9, 1, 3, 1], [And(1 < v,v < 2^(1/2)), v < u, x < -u^2+v^2-\
1, And(u^2-v^2+x+1 < y,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], [0, 0]
, [-4, -4]]]], [[9, 9, 1, 3, 2], [And(1 < v,v < 2^(1/2)), v < u, x < -u^2+v^2-\
1, And(u^2-v^2+x+1 < y,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], [0, 0]
, [-1532401/524288, -24518415/8388608]]]], [[9, 9, 1, 3, 3], [And(1 < v,v < 2^
(1/2)), v < u, x < -u^2+v^2-1, And(u^2-v^2+x+1 < y,y < -u^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], [0, 0], [-7/16777216, -7/16777216]]]], [
[9, 9, 1, 3, 4], [And(1 < v,v < 2^(1/2)), v < u, x < -u^2+v^2-1, And(u^2-v^2+x
+1 < y,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], [0, 0], [3064801/1048576, 
1532401/524288]]]], [[9, 9, 1, 3, 5], [And(1 < v,v < 2^(1/2)), v < u, x < -u^2
+v^2-1, And(u^2-v^2+x+1 < y,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], [0, 0]
, [4, 4]]]], [[9, 9, 1, 4, 1], [And(1 < v,v < 2^(1/2)), v < u, x < -u^2+v^2-1,
y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [3, 3], [-10, -10], [763943/524288, 1527887/1048576], [-4, -\
4]]]], [[9, 9, 1, 4, 2], [And(1 < v,v < 2^(1/2)), v < u, x < -u^2+v^2-1, y = -
u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [-10, -10], [763943/524288, 1527887/1048576], [-\
1532401/524288, -24518415/8388608]]]], [[9, 9, 1, 4, 3], [And(1 < v,v < 2^(1/2
)), v < u, x < -u^2+v^2-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u
^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3]
, [-10, -10], [763943/524288, 1527887/1048576], [-7/16777216, -7/16777216]]]],
[[9, 9, 1, 4, 4], [And(1 < v,v < 2^(1/2)), v < u, x < -u^2+v^2-1, y = -u^2+v^2
-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [-10, -10], [763943/524288, 1527887/1048576], [3064801/
1048576, 1532401/524288]]]], [[9, 9, 1, 4, 5], [And(1 < v,v < 2^(1/2)), v < u,
x < -u^2+v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [-10, -10], [763943/524288, 1527887
/1048576], [4, 4]]]], [[10, 4, 6, 5, 1], [v = 2^(1/2), u = -1, x = 1, 1 < y, z
< 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1, 1], [2,
2], [-1, -1]]]], [[10, 4, 6, 5, 2], [v = 2^(1/2), u = -1, x = 1, 1 < y, z = 0]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1, 1], [2, 2],
[0, 0]]]], [[10, 4, 6, 5, 3], [v = 2^(1/2), u = -1, x = 1, 1 < y, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1, 1], [2, 2], [1
, 1]]]], [[11, 8, 3, 2, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-1 < x,x < 1)
, y = x-1, z = z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [0,
0], [-1, -1], [0, 0]]]], [[11, 13, 3, 5, 1], [2^(1/2) < v, v < u, And(-u^2+v^2
-1 < x,x < -1), u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3,
3], [4, 4], [-9/2, -9/2], [5, 5], [-4, -4]]]], [[11, 13, 3, 5, 2], [2^(1/2) <
v, v < u, And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1/2)]
, [regular_chain, [[3, 3], [4, 4], [-9/2, -9/2], [5, 5], [-2965821/1048576, -\
11863283/4194304]]]], [[11, 13, 3, 5, 3], [2^(1/2) < v, v < u, And(-u^2+v^2-1
< x,x < -1), u^2-v^2+x+1 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2)
)], [regular_chain, [[3, 3], [4, 4], [-9/2, -9/2], [5, 5], [-3/8388608, -3/
8388608]]]], [[11, 13, 3, 5, 4], [2^(1/2) < v, v < u, And(-u^2+v^2-1 < x,x < -\
1), u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4],
[-9/2, -9/2], [5, 5], [741455/262144, 2965821/1048576]]]], [[11, 13, 3, 5, 5],
[2^(1/2) < v, v < u, And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, (u^2-v^2+1)^
(1/2) < z], [regular_chain, [[3, 3], [4, 4], [-9/2, -9/2], [5, 5], [4, 4]]]],
[[1, 5, 6, 1, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x
= 1, y < -u^2+v^2-2, z = z], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [1, 1], [-2, -2], [0, 0]]]], [[2, 7, 4, 3, 1], [v = -2^(1/2
), And(0 < u,u < 1), x = -u^2+1, 0 < y, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [3/4, 3/4], [1, 1], [0, 0]]]], [[3, 1, 3
, 1, 1], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [-10006449/2097152, -10006449/2097152], [-5, -5],
[-4, -4]]]], [[3, 1, 3, 1, 2], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [-10006449/2097152, -10006449/
2097152], [-5, -5], [-1532401/524288, -24518415/8388608]]]], [[3, 1, 3, 1, 3],
[And(-2^(1/2) < v,v < -1), 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], [-3, -3], [-10006449/2097152, -10006449/
2097152], [-5, -5], [-7/16777216, -7/16777216]]]], [[3, 1, 3, 1, 4], [And(-2^(
1/2) < v,v < -1), 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], [-3, -\
3], [-10006449/2097152, -10006449/2097152], [-5, -5], [3064801/1048576, 
1532401/524288]]]], [[3, 1, 3, 1, 5], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [-10006449/2097152, -\
10006449/2097152], [-5, -5], [4, 4]]]], [[4, 1, 6, 2, 1], [v = -1, u < -1, x =
1, y = -u^2-1, z < u], [regular_chain, [[-1, -1], [-2, -2], [1, 1], [-5, -5],
[-3, -3]]]], [[4, 1, 6, 2, 2], [v = -1, u < -1, x = 1, y = -u^2-1, z = u], [
regular_chain, [[-1, -1], [-2, -2], [1, 1], [-5, -5], [-2, -2]]]], [[4, 1, 6,
2, 3], [v = -1, u < -1, x = 1, y = -u^2-1, And(u < z,z < -u)], [regular_chain,
[[-1, -1], [-2, -2], [1, 1], [-5, -5], [0, 0]]]], [[4, 1, 6, 2, 4], [v = -1, u
< -1, x = 1, y = -u^2-1, z = -u], [regular_chain, [[-1, -1], [-2, -2], [1, 1],
[-5, -5], [2, 2]]]], [[4, 1, 6, 2, 5], [v = -1, u < -1, x = 1, y = -u^2-1, -u
< z], [regular_chain, [[-1, -1], [-2, -2], [1, 1], [-5, -5], [3, 3]]]], [[4, 6
, 4, 3, 1], [v = -1, u = 1, x = 1, And(-2 < y,y < 2), z < -1], [regular_chain,
[[-1, -1], [1, 1], [1, 1], [0, 0], [-2, -2]]]], [[4, 6, 4, 3, 2], [v = -1, u =
1, x = 1, And(-2 < y,y < 2), z = -1], [regular_chain, [[-1, -1], [1, 1], [1, 1
], [0, 0], [-1, -1]]]], [[4, 6, 4, 3, 3], [v = -1, u = 1, x = 1, And(-2 < y,y
< 2), And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [1, 1], [1, 1], [0, 0], [
0, 0]]]], [[4, 6, 4, 3, 4], [v = -1, u = 1, x = 1, And(-2 < y,y < 2), z = 1],
[regular_chain, [[-1, -1], [1, 1], [1, 1], [0, 0], [1, 1]]]], [[4, 6, 4, 3, 5]
, [v = -1, u = 1, x = 1, And(-2 < y,y < 2), 1 < z], [regular_chain, [[-1, -1],
[1, 1], [1, 1], [0, 0], [2, 2]]]], [[8, 1, 5, 2, 1], [v = 1, u < -1, And(-1 <
x,x < 1), y = -u^2-x, z < u], [regular_chain, [[1, 1], [-2, -2], [0, 0], [-4,
-4], [-3, -3]]]], [[8, 1, 5, 2, 2], [v = 1, u < -1, And(-1 < x,x < 1), y = -u^
2-x, z = u], [regular_chain, [[1, 1], [-2, -2], [0, 0], [-4, -4], [-2, -2]]]],
[[8, 1, 5, 2, 3], [v = 1, u < -1, And(-1 < x,x < 1), y = -u^2-x, And(u < z,z <
-u)], [regular_chain, [[1, 1], [-2, -2], [0, 0], [-4, -4], [0, 0]]]], [[8, 1,
5, 2, 4], [v = 1, u < -1, And(-1 < x,x < 1), y = -u^2-x, z = -u], [
regular_chain, [[1, 1], [-2, -2], [0, 0], [-4, -4], [2, 2]]]], [[8, 1, 5, 2, 5
], [v = 1, u < -1, And(-1 < x,x < 1), y = -u^2-x, -u < z], [regular_chain, [[1
, 1], [-2, -2], [0, 0], [-4, -4], [3, 3]]]], [[8, 6, 3, 3, 1], [v = 1, u = 1,
And(-1 < x,x < 1), And(-1-x < y,y < x+1), z < -1], [regular_chain, [[1, 1], [1
, 1], [0, 0], [0, 0], [-2, -2]]]], [[8, 6, 3, 3, 2], [v = 1, u = 1, And(-1 < x
,x < 1), And(-1-x < y,y < x+1), z = -1], [regular_chain, [[1, 1], [1, 1], [0,
0], [0, 0], [-1, -1]]]], [[8, 6, 3, 3, 3], [v = 1, u = 1, And(-1 < x,x < 1), 
And(-1-x < y,y < x+1), And(-1 < z,z < 1)], [regular_chain, [[1, 1], [1, 1], [0
, 0], [0, 0], [0, 0]]]], [[8, 6, 3, 3, 4], [v = 1, u = 1, And(-1 < x,x < 1), 
And(-1-x < y,y < x+1), z = 1], [regular_chain, [[1, 1], [1, 1], [0, 0], [0, 0]
, [1, 1]]]], [[8, 6, 3, 3, 5], [v = 1, u = 1, And(-1 < x,x < 1), And(-1-x < y,
y < x+1), 1 < z], [regular_chain, [[1, 1], [1, 1], [0, 0], [0, 0], [2, 2]]]],
[[10, 9, 5, 1, 1], [v = 2^(1/2), And(1 < 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], [1265743/1048576, 1265743/1048576], [284633/1048576, 284633/1048576]
, [-2, -2], [-2, -2]]]], [[10, 9, 5, 1, 2], [v = 2^(1/2), And(1 < 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], [1265743/1048576, 1265743/1048576], [284633/
1048576, 284633/1048576], [-2, -2], [-1417877/2097152, -354469/524288]]]], [[
10, 9, 5, 1, 3], [v = 2^(1/2), And(1 < 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], [1265743/1048576, 1265743/1048576], [284633/1048576,
284633/1048576], [-2, -2], [0, 0]]]], [[10, 9, 5, 1, 4], [v = 2^(1/2), And(1 <
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], [1265743/1048576, 1265743/
1048576], [284633/1048576, 284633/1048576], [-2, -2], [354469/524288, 708939/
1048576]]]], [[10, 9, 5, 1, 5], [v = 2^(1/2), And(1 < 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], [1265743/1048576, 1265743/1048576], [284633/1048576, 284633/
1048576], [-2, -2], [2, 2]]]], [[11, 3, 5, 2, 1], [2^(1/2) < v, And(-v < u,u <
-(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)
^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [
532005/2097152, 532005/2097152], [-1565149/2097152, -391287/524288], [-2, -2]]
]], [[11, 3, 5, 2, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+
v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [
[3, 3], [-6111549/2097152, -6111549/2097152], [532005/2097152, 532005/2097152]
, [-1565149/2097152, -391287/524288], [-735979/1048576, -1471957/2097152]]]],
[[11, 3, 5, 2, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-\
1 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/
2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [532005/
2097152, 532005/2097152], [-1565149/2097152, -391287/524288], [-1/4194304, -1/
4194304]]]], [[11, 3, 5, 2, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [532005/2097152,
532005/2097152], [-1565149/2097152, -391287/524288], [367989/524288, 735979/
1048576]]]], [[11, 3, 5, 2, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [532005/2097152,
532005/2097152], [-1565149/2097152, -391287/524288], [2, 2]]]], [[1, 10, 6, 3,
1], [v < -2^(1/2), u = (v^2-1)^(1/2), x = 1, And(-1 < y,y < 1), z < 0], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [1, 1], [0, 0], [-\
1, -1]]]], [[1, 10, 6, 3, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), x = 1, And(-1
< y,y < 1), z = 0], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576
], [1, 1], [0, 0], [0, 0]]]], [[1, 10, 6, 3, 3], [v < -2^(1/2), u = (v^2-1)^(1
/2), x = 1, And(-1 < y,y < 1), 0 < z], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [1, 1], [0, 0], [1, 1]]]], [[2, 2, 4, 4, 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, 2, 4, 4, 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, 2, 4, 4, 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, 2
, 4, 4, 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, 2, 4, 4, 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]]]], [[3, 5, 7, 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]]]], [[4, 1, 5, 5, 1], [v = -1, u < -1,
And(-1 < x,x < 1), u^2+x < y, z < u], [regular_chain, [[-1, -1], [-2, -2], [0,
0], [5, 5], [-3, -3]]]], [[4, 1, 5, 5, 2], [v = -1, u < -1, And(-1 < x,x < 1),
u^2+x < y, z = u], [regular_chain, [[-1, -1], [-2, -2], [0, 0], [5, 5], [-2, -\
2]]]], [[4, 1, 5, 5, 3], [v = -1, u < -1, And(-1 < x,x < 1), u^2+x < y, And(u
< z,z < -u)], [regular_chain, [[-1, -1], [-2, -2], [0, 0], [5, 5], [0, 0]]]],
[[4, 1, 5, 5, 4], [v = -1, u < -1, And(-1 < x,x < 1), u^2+x < y, z = -u], [
regular_chain, [[-1, -1], [-2, -2], [0, 0], [5, 5], [2, 2]]]], [[4, 1, 5, 5, 5
], [v = -1, u < -1, And(-1 < x,x < 1), u^2+x < y, -u < z], [regular_chain, [[-\
1, -1], [-2, -2], [0, 0], [5, 5], [3, 3]]]], [[5, 4, 4, 5, 1], [And(-1 < v,v <
0), u = -v, x = 1, 2 < y, z < -1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2],
[1, 1], [3, 3], [-2, -2]]]], [[5, 4, 4, 5, 2], [And(-1 < v,v < 0), u = -v, x =
1, 2 < y, z = -1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1, 1], [3, 3],
[-1, -1]]]], [[5, 4, 4, 5, 3], [And(-1 < v,v < 0), u = -v, x = 1, 2 < y, And(-\
1 < z,z < 1)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1, 1], [3, 3], [0,
0]]]], [[5, 4, 4, 5, 4], [And(-1 < v,v < 0), u = -v, x = 1, 2 < y, z = 1], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1, 1], [3, 3], [1, 1]]]], [[5, 4, 4
, 5, 5], [And(-1 < v,v < 0), u = -v, x = 1, 2 < y, 1 < z], [regular_chain, [[-\
1/2, -1/2], [1/2, 1/2], [1, 1], [3, 3], [2, 2]]]], [[7, 1, 5, 1, 1], [And(0 <
v,v < 1), u < -v, And(-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], [-2, -2], [0, 0], [-6, -6], [-4, -4]]]], [[7, 1
, 5, 1, 2], [And(0 < v,v < 1), u < -v, And(-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], [-2, -2], [0, 0], [-6, -6]
, [-2285319/1048576, -1142659/524288]]]], [[7, 1, 5, 1, 3], [And(0 < v,v < 1),
u < -v, And(-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], [-2, -2], [0, 0], [-6, -6], [0
, 0]]]], [[7, 1, 5, 1, 4], [And(0 < v,v < 1), u < -v, And(-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], [-2, -2], [0
, 0], [-6, -6], [1142659/524288, 2285319/1048576]]]], [[7, 1, 5, 1, 5], [And(0
< v,v < 1), u < -v, And(-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], [-2, -2], [0, 0], [-6, -6], [4, 4]]]], [[9, 4,
3, 1, 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], [-2, -2], [-1, -1]]]], [[9, 4, 3, 1, 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], [-2, -2], [0, 0]]]], [[9, 4, 3, 1, 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], [-2, -2], [1, 1]]]], [[9, 9, 1, 2, 1], [And(1 < v,v <
2^(1/2)), v < 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, 9, 1, 2, 2], [And(1 < v,v
< 2^(1/2)), v < 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
, 9, 1, 2, 3], [And(1 < v,v < 2^(1/2)), v < 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, 9, 1, 2, 4], [And(1 < v,v
< 2^(1/2)), v < 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, 9
, 1, 2, 5], [And(1 < v,v < 2^(1/2)), v < 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]]]], [[9, 9, 1, 5,
1], [And(1 < v,v < 2^(1/2)), v < u, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, z < -(u^
2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3],
[-10, -10], [3, 3], [-4, -4]]]], [[9, 9, 1, 5, 2], [And(1 < v,v < 2^(1/2)), v
< u, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [3, 3], [-10, -10], [3, 3], [-1532401/
524288, -24518415/8388608]]]], [[9, 9, 1, 5, 3], [And(1 < v,v < 2^(1/2)), v <
u, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, 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], [3, 3], [-7/16777216, -7/16777216]]]], [[9, 9, 1, 5, 4], [And(1 < v,v <
2^(1/2)), v < u, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10, -10], [3, 3]
, [3064801/1048576, 1532401/524288]]]], [[9, 9, 1, 5, 5], [And(1 < v,v < 2^(1/
2)), v < u, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10, -10], [3, 3]
, [4, 4]]]], [[10, 4, 7, 1, 1], [v = 2^(1/2), u = -1, 1 < x, y < -x, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [2, 2], [-3, -3],
[-1, -1]]]], [[10, 4, 7, 1, 2], [v = 2^(1/2), u = -1, 1 < x, y < -x, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [2, 2], [-3, -3],
[0, 0]]]], [[10, 4, 7, 1, 3], [v = 2^(1/2), u = -1, 1 < x, y < -x, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [2, 2], [-3, -3],
[1, 1]]]], [[11, 8, 3, 1, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-1 < x,x <
1), y < x-1, z = z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [
0, 0], [-2, -2], [0, 0]]]], [[11, 13, 3, 4, 1], [2^(1/2) < v, v < 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], [4, 4], [-9/2, -9/2], [7/2, 7/2], [-4, -4]]]], [[11, 13, 3, 4, 2], [2^
(1/2) < v, v < 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], [4, 4], [-9/2, -9/2], [7/2, 7/2], [-2965821
/1048576, -11863283/4194304]]]], [[11, 13, 3, 4, 3], [2^(1/2) < v, v < 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], [4, 4], [-9/2, -9/2], [7/2, 7/2], [-3/
8388608, -3/8388608]]]], [[11, 13, 3, 4, 4], [2^(1/2) < v, v < 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], [4, 4], [-9/2, -9/2], [7/2, 7/2], [741455/262144, 2965821/1048576]]]], [[
11, 13, 3, 4, 5], [2^(1/2) < v, v < 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], [4, 4], [-9/2, -9/2], [
7/2, 7/2], [4, 4]]]], [[1, 1, 1, 1, 1], [v < -2^(1/2), 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], [-4, -4],
[-9, -9], [-2, -2], [-4, -4]]]], [[1, 1, 1, 1, 2], [v < -2^(1/2), 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]
, [-4, -4], [-9, -9], [-2, -2], [-2965821/1048576, -11863283/4194304]]]], [[1,
1, 1, 1, 3], [v < -2^(1/2), 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], [-4, -4],
[-9, -9], [-2, -2], [-3/8388608, -3/8388608]]]], [[1, 1, 1, 1, 4], [v < -2^(1/
2), 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], [-4, -4], [-9, -9], [-2, -2], [741455/262144, 
2965821/1048576]]]], [[1, 1, 1, 1, 5], [v < -2^(1/2), 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], [-4, -4], [-\
9, -9], [-2, -2], [4, 4]]]], [[1, 5, 6, 2, 1], [v < -2^(1/2), And(-(v^2-1)^(1/
2) < u,u < -(v^2-2)^(1/2)), x = 1, y = -u^2+v^2-2, z = z], [regular_chain, [[-\
3, -3], [-22960369/8388608, -22960369/8388608], [1, 1], [-515541/1048576, -\
128885/262144], [0, 0]]]], [[2, 7, 4, 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]]]], [[3, 1, 2, 3, 1], [And(-2^(1/2) <
v,v < -1), u < v, x = -u^2+v^2-1, 0 < y, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-4478937/
524288, -8957873/1048576], [1, 1], [-4, -4]]]], [[3, 1, 2, 3, 2], [And(-2^(1/2
) < v,v < -1), u < v, x = -u^2+v^2-1, 0 < y, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-4478937/
524288, -8957873/1048576], [1, 1], [-1532401/524288, -24518415/8388608]]]], [[
3, 1, 2, 3, 3], [And(-2^(1/2) < v,v < -1), u < v, x = -u^2+v^2-1, 0 < y, 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], [1,
1], [-7/16777216, -7/16777216]]]], [[3, 1, 2, 3, 4], [And(-2^(1/2) < v,v < -1)
, u < v, x = -u^2+v^2-1, 0 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [-4478937/524288, -8957873/
1048576], [1, 1], [3064801/1048576, 1532401/524288]]]], [[3, 1, 2, 3, 5], [And
(-2^(1/2) < v,v < -1), u < v, x = -u^2+v^2-1, 0 < y, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-4478937/
524288, -8957873/1048576], [1, 1], [4, 4]]]], [[4, 1, 6, 3, 1], [v = -1, u < -\
1, x = 1, And(-u^2-1 < y,y < u^2+1), z < u], [regular_chain, [[-1, -1], [-2, -\
2], [1, 1], [0, 0], [-3, -3]]]], [[4, 1, 6, 3, 2], [v = -1, u < -1, x = 1, And
(-u^2-1 < y,y < u^2+1), z = u], [regular_chain, [[-1, -1], [-2, -2], [1, 1], [
0, 0], [-2, -2]]]], [[4, 1, 6, 3, 3], [v = -1, u < -1, x = 1, And(-u^2-1 < y,y
< u^2+1), And(u < z,z < -u)], [regular_chain, [[-1, -1], [-2, -2], [1, 1], [0,
0], [0, 0]]]], [[4, 1, 6, 3, 4], [v = -1, u < -1, x = 1, And(-u^2-1 < y,y < u^
2+1), z = -u], [regular_chain, [[-1, -1], [-2, -2], [1, 1], [0, 0], [2, 2]]]],
[[4, 1, 6, 3, 5], [v = -1, u < -1, x = 1, And(-u^2-1 < y,y < u^2+1), -u < z],
[regular_chain, [[-1, -1], [-2, -2], [1, 1], [0, 0], [3, 3]]]], [[4, 6, 4, 4,
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, 4, 4, 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,
4, 4, 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, 4, 4, 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, 4, 4, 5], [v = -1, u = 1, x = 1, y = 2, 1 < z], [regular_chain,
[[-1, -1], [1, 1], [1, 1], [2, 2], [2, 2]]]], [[8, 1, 5, 1, 1], [v = 1, u < -1
, And(-1 < x,x < 1), y < -u^2-x, z < u], [regular_chain, [[1, 1], [-2, -2], [0
, 0], [-5, -5], [-3, -3]]]], [[8, 1, 5, 1, 2], [v = 1, u < -1, And(-1 < x,x <
1), y < -u^2-x, z = u], [regular_chain, [[1, 1], [-2, -2], [0, 0], [-5, -5], [
-2, -2]]]], [[8, 1, 5, 1, 3], [v = 1, u < -1, And(-1 < x,x < 1), y < -u^2-x, 
And(u < z,z < -u)], [regular_chain, [[1, 1], [-2, -2], [0, 0], [-5, -5], [0, 0
]]]], [[8, 1, 5, 1, 4], [v = 1, u < -1, And(-1 < x,x < 1), y < -u^2-x, z = -u]
, [regular_chain, [[1, 1], [-2, -2], [0, 0], [-5, -5], [2, 2]]]], [[8, 1, 5, 1
, 5], [v = 1, u < -1, And(-1 < x,x < 1), y < -u^2-x, -u < z], [regular_chain,
[[1, 1], [-2, -2], [0, 0], [-5, -5], [3, 3]]]], [[8, 6, 3, 2, 1], [v = 1, u =
1, And(-1 < x,x < 1), y = -1-x, z < -1], [regular_chain, [[1, 1], [1, 1], [0,
0], [-1, -1], [-2, -2]]]], [[8, 6, 3, 2, 2], [v = 1, u = 1, And(-1 < x,x < 1),
y = -1-x, z = -1], [regular_chain, [[1, 1], [1, 1], [0, 0], [-1, -1], [-1, -1]
]]], [[8, 6, 3, 2, 3], [v = 1, u = 1, And(-1 < x,x < 1), y = -1-x, And(-1 < z,
z < 1)], [regular_chain, [[1, 1], [1, 1], [0, 0], [-1, -1], [0, 0]]]], [[8, 6,
3, 2, 4], [v = 1, u = 1, And(-1 < x,x < 1), y = -1-x, z = 1], [regular_chain,
[[1, 1], [1, 1], [0, 0], [-1, -1], [1, 1]]]], [[8, 6, 3, 2, 5], [v = 1, u = 1,
And(-1 < x,x < 1), y = -1-x, 1 < z], [regular_chain, [[1, 1], [1, 1], [0, 0],
[-1, -1], [2, 2]]]], [[10, 9, 5, 2, 1], [v = 2^(1/2), And(1 < 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], [1265743/1048576, 1265743/1048576], [284633/1048576,
284633/1048576], [-95493/131072, -1527887/2097152], [-2, -2]]]], [[10, 9, 5, 2
, 2], [v = 2^(1/2), And(1 < 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], [1265743/
1048576, 1265743/1048576], [284633/1048576, 284633/1048576], [-95493/131072, -\
1527887/2097152], [-1417877/2097152, -354469/524288]]]], [[10, 9, 5, 2, 3], [v
= 2^(1/2), And(1 < 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], [1265743/1048576, 1265743/1048576], [284633/1048576, 284633/1048576]
, [-95493/131072, -1527887/2097152], [0, 0]]]], [[10, 9, 5, 2, 4], [v = 2^(1/2
), And(1 < 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], [1265743/1048576, 1265743/
1048576], [284633/1048576, 284633/1048576], [-95493/131072, -1527887/2097152],
[354469/524288, 708939/1048576]]]], [[10, 9, 5, 2, 5], [v = 2^(1/2), And(1 < 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], [1265743/1048576, 1265743/
1048576], [284633/1048576, 284633/1048576], [-95493/131072, -1527887/2097152],
[2, 2]]]], [[11, 3, 5, 3, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 
And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^
2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [
532005/2097152, 532005/2097152], [0, 0], [-2, -2]]]], [[11, 3, 5, 3, 2], [2^(1
/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(-u^2+v
^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3],
[-6111549/2097152, -6111549/2097152], [532005/2097152, 532005/2097152], [0, 0]
, [-735979/1048576, -1471957/2097152]]]], [[11, 3, 5, 3, 3], [2^(1/2) < v, And
(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y
< u^2-v^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], [532005/2097152,
532005/2097152], [0, 0], [-1/4194304, -1/4194304]]]], [[11, 3, 5, 3, 4], [2^(1
/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(-u^2+v
^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3],
[-6111549/2097152, -6111549/2097152], [532005/2097152, 532005/2097152], [0, 0]
, [367989/524288, 735979/1048576]]]], [[11, 3, 5, 3, 5], [2^(1/2) < v, And(-v
< u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u
^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [532005/2097152, 532005/2097152], [0, 0], [2, 2]]]
], [[1, 10, 6, 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, 10, 6, 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, 10, 6, 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]]]], [[2, 2, 4, 1, 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], [-3, -3], [-2, -2]]]], [[2, 2, 4, 1, 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], [-3, -3], [-1, -1
]]]], [[2, 2, 4, 1, 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], [-3, -3], [0, 0]]]], [[2, 2, 4, 1, 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], [-3, -3], [1, 1]]]], [[2,
2, 4, 1, 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],
[-3, -3], [2, 2]]]], [[3, 6, 1, 2, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^
(1/2), x < -1, y = x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [354469/524288, 708939/1048576], [-2, -2], [-2, -2], [-1, -1]]]], [[
3, 6, 1, 2, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x < -1, y = x, z
= 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [-2, -2], [-2, -2], [0, 0]]]], [[3, 6, 1, 2, 3], [And(-2^(1/2
) < v,v < -1), u = (v^2-1)^(1/2), x < -1, y = x, 0 < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-2, -2],
[-2, -2], [1, 1]]]], [[4, 1, 5, 4, 1], [v = -1, u < -1, And(-1 < x,x < 1), y =
u^2+x, z < u], [regular_chain, [[-1, -1], [-2, -2], [0, 0], [4, 4], [-3, -3]]]
], [[4, 1, 5, 4, 2], [v = -1, u < -1, And(-1 < x,x < 1), y = u^2+x, z = u], [
regular_chain, [[-1, -1], [-2, -2], [0, 0], [4, 4], [-2, -2]]]], [[4, 1, 5, 4,
3], [v = -1, u < -1, And(-1 < x,x < 1), y = u^2+x, And(u < z,z < -u)], [
regular_chain, [[-1, -1], [-2, -2], [0, 0], [4, 4], [0, 0]]]], [[4, 1, 5, 4, 4
], [v = -1, u < -1, And(-1 < x,x < 1), y = u^2+x, z = -u], [regular_chain, [[-\
1, -1], [-2, -2], [0, 0], [4, 4], [2, 2]]]], [[4, 1, 5, 4, 5], [v = -1, u < -1
, And(-1 < x,x < 1), y = u^2+x, -u < z], [regular_chain, [[-1, -1], [-2, -2],
[0, 0], [4, 4], [3, 3]]]], [[5, 4, 5, 1, 1], [And(-1 < v,v < 0), u = -v, 1 < x
, y < -1-x, z < -1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2], [-4, -\
4], [-2, -2]]]], [[5, 4, 5, 1, 2], [And(-1 < v,v < 0), u = -v, 1 < x, y < -1-x
, z = -1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2], [-4, -4], [-1, -\
1]]]], [[5, 4, 5, 1, 3], [And(-1 < v,v < 0), u = -v, 1 < x, y < -1-x, And(-1 <
z,z < 1)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2], [-4, -4], [0, 0]
]]], [[5, 4, 5, 1, 4], [And(-1 < v,v < 0), u = -v, 1 < x, y < -1-x, z = 1], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2], [-4, -4], [1, 1]]]], [[5, 4,
5, 1, 5], [And(-1 < v,v < 0), u = -v, 1 < x, y < -1-x, 1 < z], [regular_chain,
[[-1/2, -1/2], [1/2, 1/2], [2, 2], [-4, -4], [2, 2]]]], [[7, 1, 4, 3, 1], [And
(0 < v,v < 1), u < -v, x = -1, And(-u^2+v^2 < y,y < u^2-v^2), z < -(u^2-v^2+1)
^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2], [-1, -1], [0, 0], [-4, -4]]]],
[[7, 1, 4, 3, 2], [And(0 < v,v < 1), u < -v, x = -1, And(-u^2+v^2 < y,y < u^2-
v^2), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2], [-1, -1]
, [0, 0], [-2285319/1048576, -1142659/524288]]]], [[7, 1, 4, 3, 3], [And(0 < v
,v < 1), u < -v, x = -1, And(-u^2+v^2 < y,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], [-2, -2], [-1, -1],
[0, 0], [0, 0]]]], [[7, 1, 4, 3, 4], [And(0 < v,v < 1), u < -v, x = -1, And(-u
^2+v^2 < y,y < u^2-v^2), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2],
[-2, -2], [-1, -1], [0, 0], [1142659/524288, 2285319/1048576]]]], [[7, 1, 4, 3
, 5], [And(0 < v,v < 1), u < -v, x = -1, And(-u^2+v^2 < y,y < u^2-v^2), (u^2-v
^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-2, -2], [-1, -1], [0, 0], [4,
4]]]], [[9, 4, 3, 4, 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
, 4, 3, 4, 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, 4, 3, 4,
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, 9, 1, 1, 1], [And(1
< v,v < 2^(1/2)), v < 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],
[-3, -3], [-4, -4]]]], [[9, 9, 1, 1, 2], [And(1 < v,v < 2^(1/2)), v < 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], [-3, -3], [-1532401/524288, -\
24518415/8388608]]]], [[9, 9, 1, 1, 3], [And(1 < v,v < 2^(1/2)), v < 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], [-3,
-3], [-7/16777216, -7/16777216]]]], [[9, 9, 1, 1, 4], [And(1 < v,v < 2^(1/2)),
v < 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], [-3, -3], [3064801/
1048576, 1532401/524288]]]], [[9, 9, 1, 1, 5], [And(1 < v,v < 2^(1/2)), v < 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], [-3, -3], [4, 4]]]], [[
9, 9, 2, 1, 1], [And(1 < v,v < 2^(1/2)), v < 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], [-1, -1], [-4, -4]]]], [[9, 9, 2, 1, 2],
[And(1 < v,v < 2^(1/2)), v < 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], [-1, -1], [-1532401/524288, -24518415/8388608]]]],
[[9, 9, 2, 1, 3], [And(1 < v,v < 2^(1/2)), v < 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], [-1, -\
1], [-7/16777216, -7/16777216]]]], [[9, 9, 2, 1, 4], [And(1 < v,v < 2^(1/2)),
v < 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]
, [-1, -1], [3064801/1048576, 1532401/524288]]]], [[9, 9, 2, 1, 5], [And(1 < v
,v < 2^(1/2)), v < 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], [-1, -1], [4, 4]]]], [[10, 4, 6, 3, 1], [v = 2^(1/2), u = -\
1, x = 1, And(-1 < y,y < 1), z < 0], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [1, 1], [0, 0], [-1, -1]]]], [[10, 4, 6, 3, 2], [v = 2^(1/
2), u = -1, x = 1, And(-1 < y,y < 1), z = 0], [regular_chain, [[741455/524288,
1482911/1048576], [-1, -1], [1, 1], [0, 0], [0, 0]]]], [[10, 4, 6, 3, 3], [v =
2^(1/2), u = -1, x = 1, And(-1 < y,y < 1), 0 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [1, 1], [0, 0], [1, 1]]]], [[11, 8, 3, 4,
1], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-1 < x,x < 1), y = -x+1, z = z], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [0, 0], [1, 1], [0, 0]]
]], [[11, 13, 3, 3, 1], [2^(1/2) < v, v < u, And(-u^2+v^2-1 < x,x < -1), And(-
u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3
, 3], [4, 4], [-9/2, -9/2], [0, 0], [-4, -4]]]], [[11, 13, 3, 3, 2], [2^(1/2)
< v, v < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1),
z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [-9/2, -9/2], [0, 0]
, [-2965821/1048576, -11863283/4194304]]]], [[11, 13, 3, 3, 3], [2^(1/2) < v,
v < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), And(
-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [4, 4
], [-9/2, -9/2], [0, 0], [-3/8388608, -3/8388608]]]], [[11, 13, 3, 3, 4], [2^(
1/2) < v, v < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+
x+1), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [-9/2, -9/2], [
0, 0], [741455/262144, 2965821/1048576]]]], [[11, 13, 3, 3, 5], [2^(1/2) < v,
v < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2
-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [4, 4], [-9/2, -9/2], [0, 0], [4,
4]]]], [[1, 1, 1, 2, 1], [v < -2^(1/2), 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], [-4, -4], [-9, -9], [-1,
-1], [-4, -4]]]], [[1, 1, 1, 2, 2], [v < -2^(1/2), 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], [-4, -4], [-9
, -9], [-1, -1], [-2965821/1048576, -11863283/4194304]]]], [[1, 1, 1, 2, 3], [
v < -2^(1/2), 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], [-4, -4], [-9, -9], [-1,
-1], [-3/8388608, -3/8388608]]]], [[1, 1, 1, 2, 4], [v < -2^(1/2), 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]
, [-4, -4], [-9, -9], [-1, -1], [741455/262144, 2965821/1048576]]]], [[1, 1, 1
, 2, 5], [v < -2^(1/2), 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], [-4, -4], [-9, -9], [-1, -1], [4, 4]]]],
[[1, 5, 5, 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]]]], [[2, 7, 5, 2, 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]]]], [[3, 1, 2, 2, 1], [And(-2^(1/2) < v,v < -1), u < v, x = -u^2+v^2-1, y =
0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [-4478937/524288, -8957873/1048576], [0, 0], [-4, -4]]]],
[[3, 1, 2, 2, 2], [And(-2^(1/2) < v,v < -1), u < v, x = -u^2+v^2-1, y = 0, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3, -3], [-4478937/524288, -8957873/1048576], [0, 0], [-1532401/524288, -\
24518415/8388608]]]], [[3, 1, 2, 2, 3], [And(-2^(1/2) < v,v < -1), u < v, x =
-u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-4478937/
524288, -8957873/1048576], [0, 0], [-7/16777216, -7/16777216]]]], [[3, 1, 2, 2
, 4], [And(-2^(1/2) < v,v < -1), u < v, x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-\
4478937/524288, -8957873/1048576], [0, 0], [3064801/1048576, 1532401/524288]]]
], [[3, 1, 2, 2, 5], [And(-2^(1/2) < v,v < -1), u < v, 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, 6, 4
, 1], [v = -1, u < -1, x = 1, y = u^2+1, z < u], [regular_chain, [[-1, -1], [-\
2, -2], [1, 1], [5, 5], [-3, -3]]]], [[4, 1, 6, 4, 2], [v = -1, u < -1, x = 1,
y = u^2+1, z = u], [regular_chain, [[-1, -1], [-2, -2], [1, 1], [5, 5], [-2, -\
2]]]], [[4, 1, 6, 4, 3], [v = -1, u < -1, x = 1, y = u^2+1, And(u < z,z < -u)]
, [regular_chain, [[-1, -1], [-2, -2], [1, 1], [5, 5], [0, 0]]]], [[4, 1, 6, 4
, 4], [v = -1, u < -1, x = 1, y = u^2+1, z = -u], [regular_chain, [[-1, -1], [
-2, -2], [1, 1], [5, 5], [2, 2]]]], [[4, 1, 6, 4, 5], [v = -1, u < -1, x = 1,
y = u^2+1, -u < z], [regular_chain, [[-1, -1], [-2, -2], [1, 1], [5, 5], [3, 3
]]]], [[4, 6, 4, 1, 1], [v = -1, u = 1, x = 1, y < -2, z < -1], [regular_chain
, [[-1, -1], [1, 1], [1, 1], [-3, -3], [-2, -2]]]], [[4, 6, 4, 1, 2], [v = -1,
u = 1, x = 1, y < -2, z = -1], [regular_chain, [[-1, -1], [1, 1], [1, 1], [-3,
-3], [-1, -1]]]], [[4, 6, 4, 1, 3], [v = -1, u = 1, x = 1, y < -2, And(-1 < z,
z < 1)], [regular_chain, [[-1, -1], [1, 1], [1, 1], [-3, -3], [0, 0]]]], [[4,
6, 4, 1, 4], [v = -1, u = 1, x = 1, y < -2, z = 1], [regular_chain, [[-1, -1],
[1, 1], [1, 1], [-3, -3], [1, 1]]]], [[4, 6, 4, 1, 5], [v = -1, u = 1, x = 1,
y < -2, 1 < z], [regular_chain, [[-1, -1], [1, 1], [1, 1], [-3, -3], [2, 2]]]]
, [[8, 1, 5, 4, 1], [v = 1, u < -1, And(-1 < x,x < 1), y = u^2+x, z < u], [
regular_chain, [[1, 1], [-2, -2], [0, 0], [4, 4], [-3, -3]]]], [[8, 1, 5, 4, 2
], [v = 1, u < -1, And(-1 < x,x < 1), y = u^2+x, z = u], [regular_chain, [[1,
1], [-2, -2], [0, 0], [4, 4], [-2, -2]]]], [[8, 1, 5, 4, 3], [v = 1, u < -1, 
And(-1 < x,x < 1), y = u^2+x, And(u < z,z < -u)], [regular_chain, [[1, 1], [-2
, -2], [0, 0], [4, 4], [0, 0]]]], [[8, 1, 5, 4, 4], [v = 1, u < -1, And(-1 < x
,x < 1), y = u^2+x, z = -u], [regular_chain, [[1, 1], [-2, -2], [0, 0], [4, 4]
, [2, 2]]]], [[8, 1, 5, 4, 5], [v = 1, u < -1, And(-1 < x,x < 1), y = u^2+x, -
u < z], [regular_chain, [[1, 1], [-2, -2], [0, 0], [4, 4], [3, 3]]]], [[8, 6,
3, 1, 1], [v = 1, u = 1, And(-1 < x,x < 1), y < -1-x, z < -1], [regular_chain,
[[1, 1], [1, 1], [0, 0], [-2, -2], [-2, -2]]]], [[8, 6, 3, 1, 2], [v = 1, u =
1, And(-1 < x,x < 1), y < -1-x, z = -1], [regular_chain, [[1, 1], [1, 1], [0,
0], [-2, -2], [-1, -1]]]], [[8, 6, 3, 1, 3], [v = 1, u = 1, And(-1 < x,x < 1),
y < -1-x, And(-1 < z,z < 1)], [regular_chain, [[1, 1], [1, 1], [0, 0], [-2, -2
], [0, 0]]]], [[8, 6, 3, 1, 4], [v = 1, u = 1, And(-1 < x,x < 1), y < -1-x, z
= 1], [regular_chain, [[1, 1], [1, 1], [0, 0], [-2, -2], [1, 1]]]], [[8, 6, 3,
1, 5], [v = 1, u = 1, And(-1 < x,x < 1), y < -1-x, 1 < z], [regular_chain, [[1
, 1], [1, 1], [0, 0], [-2, -2], [2, 2]]]], [[10, 9, 5, 3, 1], [v = 2^(1/2), 
And(1 < u,u < v), And(-u^2+1 < x,x < 1), And(-u^2-x+1 < y,y < u^2+x-1), z < -(
u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [284633/1048576, 284633/1048576], [-1/4194304, -1/
4194304], [-2, -2]]]], [[10, 9, 5, 3, 2], [v = 2^(1/2), And(1 < u,u < v), And(
-u^2+1 < x,x < 1), And(-u^2-x+1 < y,y < u^2+x-1), z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [284633/1048576, 284633/1048576], [-1/4194304, -1/4194304], [-\
1417877/2097152, -354469/524288]]]], [[10, 9, 5, 3, 3], [v = 2^(1/2), And(1 <
u,u < v), And(-u^2+1 < x,x < 1), And(-u^2-x+1 < y,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], [284633/1048576, 284633/1048576], [-1/
4194304, -1/4194304], [0, 0]]]], [[10, 9, 5, 3, 4], [v = 2^(1/2), And(1 < u,u
< v), And(-u^2+1 < x,x < 1), And(-u^2-x+1 < y,y < u^2+x-1), z = (u^2-1)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743
/1048576], [284633/1048576, 284633/1048576], [-1/4194304, -1/4194304], [354469
/524288, 708939/1048576]]]], [[10, 9, 5, 3, 5], [v = 2^(1/2), And(1 < u,u < v)
, And(-u^2+1 < x,x < 1), And(-u^2-x+1 < y,y < u^2+x-1), (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [284633/1048576, 284633/1048576], [-1/4194304, -1/4194304], [2, 2]]]
], [[11, 3, 4, 3, 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+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-129143/262144, -516571/1048576], [1, 1], [-2, -2
]]]], [[11, 3, 4, 3, 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+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-129143/262144, -516571/1048576], [1, 1], [-\
735979/1048576, -1471957/2097152]]]], [[11, 3, 4, 3, 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+1)^(1/2) < z,z <
(u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-129143/262144, -516571/1048576], [1, 1], [-1/4194304, -1/4194304]]
]], [[11, 3, 4, 3, 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+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-129143/262144, -516571/1048576], [1, 1], [367989
/524288, 735979/1048576]]]], [[11, 3, 4, 3, 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+1)^(1/2) < z], [regular_chain,
[[3, 3], [-6111549/2097152, -6111549/2097152], [-129143/262144, -516571/
1048576], [1, 1], [2, 2]]]], [[1, 10, 6, 5, 1], [v < -2^(1/2), u = (v^2-1)^(1/
2), x = 1, 1 < y, z < 0], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [1, 1], [2, 2], [-1, -1]]]], [[1, 10, 6, 5, 2], [v < -2^(1/2), u = (
v^2-1)^(1/2), x = 1, 1 < y, z = 0], [regular_chain, [[-3, -3], [741455/262144,
2965821/1048576], [1, 1], [2, 2], [0, 0]]]], [[1, 10, 6, 5, 3], [v < -2^(1/2),
u = (v^2-1)^(1/2), x = 1, 1 < y, 0 < z], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [1, 1], [2, 2], [1, 1]]]], [[2, 2, 4, 2, 1], [v = -2
^(1/2), u = v, x = 1, y = -2, z < -1], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1482911/1048576, -741455/524288], [1, 1], [-2, -2], [-2, -2]
]]], [[2, 2, 4, 2, 2], [v = -2^(1/2), u = v, x = 1, y = -2, z = -1], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [1, 1], [-2, -2], [-1, -1]]]], [[2, 2, 4, 2, 3], [v = -2^(1/2), u =
v, x = 1, y = -2, And(-1 < z,z < 1)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1482911/1048576, -741455/524288], [1, 1], [-2, -2], [0, 0]]]
], [[2, 2, 4, 2, 4], [v = -2^(1/2), u = v, x = 1, y = -2, z = 1], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [1, 1], [-2, -2], [1, 1]]]], [[2, 2, 4, 2, 5], [v = -2^(1/2), u = v,
x = 1, y = -2, 1 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1482911/1048576, -741455/524288], [1, 1], [-2, -2], [2, 2]]]], [[3, 6, 1, 1, 1
], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x < -1, y < x, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-2, -2], [-3, -3], [-1, -1]]]], [[3, 6, 1, 1, 2], [And(-2^(1/2) < v
,v < -1), u = (v^2-1)^(1/2), x < -1, y < x, z = 0], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-2, -2], [-3, -\
3], [0, 0]]]], [[3, 6, 1, 1, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2),
x < -1, y < x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[354469/524288, 708939/1048576], [-2, -2], [-3, -3], [1, 1]]]], [[4, 1, 5, 3,
1], [v = -1, u < -1, And(-1 < x,x < 1), And(-u^2-x < y,y < u^2+x), z < u], [
regular_chain, [[-1, -1], [-2, -2], [0, 0], [0, 0], [-3, -3]]]], [[4, 1, 5, 3,
2], [v = -1, u < -1, And(-1 < x,x < 1), And(-u^2-x < y,y < u^2+x), z = u], [
regular_chain, [[-1, -1], [-2, -2], [0, 0], [0, 0], [-2, -2]]]], [[4, 1, 5, 3,
3], [v = -1, u < -1, And(-1 < x,x < 1), And(-u^2-x < y,y < u^2+x), And(u < z,z
< -u)], [regular_chain, [[-1, -1], [-2, -2], [0, 0], [0, 0], [0, 0]]]], [[4, 1
, 5, 3, 4], [v = -1, u < -1, And(-1 < x,x < 1), And(-u^2-x < y,y < u^2+x), z =
-u], [regular_chain, [[-1, -1], [-2, -2], [0, 0], [0, 0], [2, 2]]]], [[4, 1, 5
, 3, 5], [v = -1, u < -1, And(-1 < x,x < 1), And(-u^2-x < y,y < u^2+x), -u < z
], [regular_chain, [[-1, -1], [-2, -2], [0, 0], [0, 0], [3, 3]]]], [[5, 4, 5,
2, 1], [And(-1 < v,v < 0), u = -v, 1 < x, y = -1-x, z < -1], [regular_chain, [
[-1/2, -1/2], [1/2, 1/2], [2, 2], [-3, -3], [-2, -2]]]], [[5, 4, 5, 2, 2], [
And(-1 < v,v < 0), u = -v, 1 < x, y = -1-x, z = -1], [regular_chain, [[-1/2, -\
1/2], [1/2, 1/2], [2, 2], [-3, -3], [-1, -1]]]], [[5, 4, 5, 2, 3], [And(-1 < v
,v < 0), u = -v, 1 < x, y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1/2,
-1/2], [1/2, 1/2], [2, 2], [-3, -3], [0, 0]]]], [[5, 4, 5, 2, 4], [And(-1 < v,
v < 0), u = -v, 1 < x, y = -1-x, z = 1], [regular_chain, [[-1/2, -1/2], [1/2,
1/2], [2, 2], [-3, -3], [1, 1]]]], [[5, 4, 5, 2, 5], [And(-1 < v,v < 0), u = -
v, 1 < x, y = -1-x, 1 < z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2],
[-3, -3], [2, 2]]]], [[7, 1, 4, 4, 1], [And(0 < v,v < 1), u < -v, x = -1, y =
u^2-v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2], [-1,
-1], [15/4, 15/4], [-4, -4]]]], [[7, 1, 4, 4, 2], [And(0 < v,v < 1), u < -v, x
= -1, y = u^2-v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2,
-2], [-1, -1], [15/4, 15/4], [-2285319/1048576, -1142659/524288]]]], [[7, 1, 4
, 4, 3], [And(0 < v,v < 1), 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], [-2, -2], [-1, -1]
, [15/4, 15/4], [0, 0]]]], [[7, 1, 4, 4, 4], [And(0 < v,v < 1), u < -v, x = -1
, y = u^2-v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2],
[-1, -1], [15/4, 15/4], [1142659/524288, 2285319/1048576]]]], [[7, 1, 4, 4, 5]
, [And(0 < v,v < 1), u < -v, x = -1, y = u^2-v^2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-2, -2], [-1, -1], [15/4, 15/4], [4, 4]]]], [[9,
4, 3, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), 
And(x < y,y < -x), z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-1417877/2097152, -354469/524288], [-1/2, -1/2], [0, 0], [-1, -1]]]], [[9,
4, 3, 3, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), 
And(x < y,y < -x), z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-1417877/2097152, -354469/524288], [-1/2, -1/2], [0, 0], [0, 0]]]], [[9, 4,
3, 3, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(
x < y,y < -x), 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1417877/2097152, -354469/524288], [-1/2, -1/2], [0, 0], [1, 1]]]], [[9, 8, 5,
5, 1], [And(1 < v,v < 2^(1/2)), u = v, 1 < x, x+1 < y, z < -1], [regular_chain
, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [2,
2], [4, 4], [-2, -2]]]], [[9, 8, 5, 5, 2], [And(1 < v,v < 2^(1/2)), u = v, 1 <
x, x+1 < y, z = -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1265743/1048576, 1265743/1048576], [2, 2], [4, 4], [-1, -1]]]], [[9, 8, 5, 5,
3], [And(1 < v,v < 2^(1/2)), u = v, 1 < x, x+1 < y, And(-1 < z,z < 1)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [2, 2], [4, 4], [0, 0]]]], [[9, 8, 5, 5, 4], [And(1 < v,v < 2^(1/2))
, u = v, 1 < x, x+1 < y, z = 1], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1265743/1048576, 1265743/1048576], [2, 2], [4, 4], [1, 1]]]], [[9,
8, 5, 5, 5], [And(1 < v,v < 2^(1/2)), u = v, 1 < x, x+1 < y, 1 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [2, 2], [4, 4], [2, 2]]]], [[9, 9, 2, 2, 1], [And(1 < v,v < 2^(1/2))
, v < 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, 9, 2, 2, 2], [And(1 < v,v < 2^(1/2)), v < 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, 9, 2, 2, 3], [And(1 < v,v < 2^(1/2
)), v < 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, 9, 2,
2, 4], [And(1 < v,v < 2^(1/2)), v < 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,
9, 2, 2, 5], [And(1 < v,v < 2^(1/2)), v < 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, 4, 6, 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, 4, 6, 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, 4, 6, 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]]]], [[11, 8, 3, 3, 1], [2^(
1/2) < v, u = (v^2-2)^(1/2), And(-1 < x,x < 1), And(x-1 < y,y < -x+1), z = z],
[regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [0, 0], [0, 0], [0, 0]
]]], [[11, 13, 3, 2, 1], [2^(1/2) < v, v < 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], [4, 4], [-9/2,
-9/2], [-7/2, -7/2], [-4, -4]]]], [[11, 13, 3, 2, 2], [2^(1/2) < v, v < 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], [4, 4], [-9/2, -9/2], [-7/2, -7/2], [-2965821/1048576,
-11863283/4194304]]]], [[11, 13, 3, 2, 3], [2^(1/2) < v, v < 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], [4, 4], [-9/2, -9/2], [-7/2, -7/2], [-3/8388608,
-3/8388608]]]], [[11, 13, 3, 2, 4], [2^(1/2) < v, v < 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], [4,
4], [-9/2, -9/2], [-7/2, -7/2], [741455/262144, 2965821/1048576]]]], [[11, 13,
3, 2, 5], [2^(1/2) < v, v < 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], [4, 4], [-9/2, -9/2], [-7/2, -\
7/2], [4, 4]]]], [[1, 1, 1, 3, 1], [v < -2^(1/2), u < v, x < -u^2+v^2-1, And(u
^2-v^2+x+1 < y,y < -u^2+v^2-x-1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
3, -3], [-4, -4], [-9, -9], [0, 0], [-4, -4]]]], [[1, 1, 1, 3, 2], [v < -2^(1/
2), u < v, x < -u^2+v^2-1, And(u^2-v^2+x+1 < y,y < -u^2+v^2-x-1), z = -(u^2-v^
2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4], [-9, -9], [0, 0], [-2965821/
1048576, -11863283/4194304]]]], [[1, 1, 1, 3, 3], [v < -2^(1/2), u < v, x < -u
^2+v^2-1, And(u^2-v^2+x+1 < y,y < -u^2+v^2-x-1), And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-4, -4], [-9, -9], [0, 0],
[-3/8388608, -3/8388608]]]], [[1, 1, 1, 3, 4], [v < -2^(1/2), u < v, x < -u^2+
v^2-1, And(u^2-v^2+x+1 < y,y < -u^2+v^2-x-1), z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-4, -4], [-9, -9], [0, 0], [741455/262144, 2965821/
1048576]]]], [[1, 1, 1, 3, 5], [v < -2^(1/2), u < v, x < -u^2+v^2-1, And(u^2-v
^2+x+1 < y,y < -u^2+v^2-x-1), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3
], [-4, -4], [-9, -9], [0, 0], [4, 4]]]], [[1, 5, 5, 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), u^2-v^2+x+
1 < y, z = z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [395403/524288, 395403/524288], [2, 2], [0, 0]]]], [[2, 7, 5, 1, 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], [
-2, -2], [0, 0]]]], [[3, 1, 2, 1, 1], [And(-2^(1/2) < v,v < -1), u < v, 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], [-1, -1], [-\
4, -4]]]], [[3, 1, 2, 1, 2], [And(-2^(1/2) < v,v < -1), u < v, 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], [-1, -1], [-1532401/
524288, -24518415/8388608]]]], [[3, 1, 2, 1, 3], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [-4478937/
524288, -8957873/1048576], [-1, -1], [-7/16777216, -7/16777216]]]], [[3, 1, 2,
1, 4], [And(-2^(1/2) < v,v < -1), u < v, 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], [-1, -1], [3064801/1048576, 1532401/524288]
]]], [[3, 1, 2, 1, 5], [And(-2^(1/2) < v,v < -1), u < v, 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], [-1, -1], [4, 4]]]], [[4, 1,
6, 5, 1], [v = -1, u < -1, x = 1, u^2+1 < y, z < u], [regular_chain, [[-1, -1]
, [-2, -2], [1, 1], [6, 6], [-3, -3]]]], [[4, 1, 6, 5, 2], [v = -1, u < -1, x
= 1, u^2+1 < y, z = u], [regular_chain, [[-1, -1], [-2, -2], [1, 1], [6, 6], [
-2, -2]]]], [[4, 1, 6, 5, 3], [v = -1, u < -1, x = 1, u^2+1 < y, And(u < z,z <
-u)], [regular_chain, [[-1, -1], [-2, -2], [1, 1], [6, 6], [0, 0]]]], [[4, 1,
6, 5, 4], [v = -1, u < -1, x = 1, u^2+1 < y, z = -u], [regular_chain, [[-1, -1
], [-2, -2], [1, 1], [6, 6], [2, 2]]]], [[4, 1, 6, 5, 5], [v = -1, u < -1, x =
1, u^2+1 < y, -u < z], [regular_chain, [[-1, -1], [-2, -2], [1, 1], [6, 6], [3
, 3]]]], [[4, 6, 4, 2, 1], [v = -1, u = 1, x = 1, y = -2, z < -1], [
regular_chain, [[-1, -1], [1, 1], [1, 1], [-2, -2], [-2, -2]]]], [[4, 6, 4, 2,
2], [v = -1, u = 1, x = 1, y = -2, z = -1], [regular_chain, [[-1, -1], [1, 1],
[1, 1], [-2, -2], [-1, -1]]]], [[4, 6, 4, 2, 3], [v = -1, u = 1, x = 1, y = -2
, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [1, 1], [1, 1], [-2, -2], [0,
0]]]], [[4, 6, 4, 2, 4], [v = -1, u = 1, x = 1, y = -2, z = 1], [regular_chain
, [[-1, -1], [1, 1], [1, 1], [-2, -2], [1, 1]]]], [[4, 6, 4, 2, 5], [v = -1, u
= 1, x = 1, y = -2, 1 < z], [regular_chain, [[-1, -1], [1, 1], [1, 1], [-2, -2
], [2, 2]]]], [[8, 1, 5, 3, 1], [v = 1, u < -1, And(-1 < x,x < 1), And(-u^2-x
< y,y < u^2+x), z < u], [regular_chain, [[1, 1], [-2, -2], [0, 0], [0, 0], [-3
, -3]]]], [[8, 1, 5, 3, 2], [v = 1, u < -1, And(-1 < x,x < 1), And(-u^2-x < y,
y < u^2+x), z = u], [regular_chain, [[1, 1], [-2, -2], [0, 0], [0, 0], [-2, -2
]]]], [[8, 1, 5, 3, 3], [v = 1, u < -1, And(-1 < x,x < 1), And(-u^2-x < y,y <
u^2+x), And(u < z,z < -u)], [regular_chain, [[1, 1], [-2, -2], [0, 0], [0, 0],
[0, 0]]]], [[8, 1, 5, 3, 4], [v = 1, u < -1, And(-1 < x,x < 1), And(-u^2-x < y
,y < u^2+x), z = -u], [regular_chain, [[1, 1], [-2, -2], [0, 0], [0, 0], [2, 2
]]]], [[8, 1, 5, 3, 5], [v = 1, u < -1, And(-1 < x,x < 1), And(-u^2-x < y,y <
u^2+x), -u < z], [regular_chain, [[1, 1], [-2, -2], [0, 0], [0, 0], [3, 3]]]],
[[8, 6, 2, 3, 1], [v = 1, u = 1, x = -1, 0 < y, z < -1], [regular_chain, [[1,
1], [1, 1], [-1, -1], [1, 1], [-2, -2]]]], [[8, 6, 2, 3, 2], [v = 1, u = 1, x
= -1, 0 < y, z = -1], [regular_chain, [[1, 1], [1, 1], [-1, -1], [1, 1], [-1,
-1]]]], [[8, 6, 2, 3, 3], [v = 1, u = 1, x = -1, 0 < y, And(-1 < z,z < 1)], [
regular_chain, [[1, 1], [1, 1], [-1, -1], [1, 1], [0, 0]]]], [[8, 6, 2, 3, 4],
[v = 1, u = 1, x = -1, 0 < y, z = 1], [regular_chain, [[1, 1], [1, 1], [-1, -1
], [1, 1], [1, 1]]]], [[8, 6, 2, 3, 5], [v = 1, u = 1, x = -1, 0 < y, 1 < z],
[regular_chain, [[1, 1], [1, 1], [-1, -1], [1, 1], [2, 2]]]], [[10, 9, 5, 4, 1
], [v = 2^(1/2), And(1 < 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], [1265743/
1048576, 1265743/1048576], [284633/1048576, 284633/1048576], [763943/1048576,
95493/131072], [-2, -2]]]], [[10, 9, 5, 4, 2], [v = 2^(1/2), And(1 < 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], [1265743/1048576, 1265743/1048576], [284633/
1048576, 284633/1048576], [763943/1048576, 95493/131072], [-1417877/2097152, -\
354469/524288]]]], [[10, 9, 5, 4, 3], [v = 2^(1/2), And(1 < 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], [1265743/1048576, 1265743/
1048576], [284633/1048576, 284633/1048576], [763943/1048576, 95493/131072], [0
, 0]]]], [[10, 9, 5, 4, 4], [v = 2^(1/2), And(1 < 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], [1265743/1048576, 1265743/1048576], [284633/1048576, 284633/1048576]
, [763943/1048576, 95493/131072], [354469/524288, 708939/1048576]]]], [[10, 9,
5, 4, 5], [v = 2^(1/2), And(1 < 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], [
1265743/1048576, 1265743/1048576], [284633/1048576, 284633/1048576], [763943/
1048576, 95493/131072], [2, 2]]]], [[11, 3, 5, 1, 1], [2^(1/2) < v, And(-v < u
,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z < -(u^2-v
^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [
532005/2097152, 532005/2097152], [-2, -2], [-2, -2]]]], [[11, 3, 5, 1, 2], [2^
(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y < -u^2
+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152,
-6111549/2097152], [532005/2097152, 532005/2097152], [-2, -2], [-735979/
1048576, -1471957/2097152]]]], [[11, 3, 5, 1, 3], [2^(1/2) < v, And(-v < u,u <
-(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y < -u^2+v^2-x-1, And(-(u^2-v^2+1)
^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152
, -6111549/2097152], [532005/2097152, 532005/2097152], [-2, -2], [-1/4194304,
-1/4194304]]]], [[11, 3, 5, 1, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)
), And(-u^2+v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [532005/2097152,
532005/2097152], [-2, -2], [367989/524288, 735979/1048576]]]], [[11, 3, 5, 1,
5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y
< -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [532005/2097152, 532005/2097152], [-2, -2], [2, 2]
]]], [[1, 1, 1, 4, 1], [v < -2^(1/2), 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], [-4, -4], [-9, -9], [1, 1]
, [-4, -4]]]], [[1, 1, 1, 4, 2], [v < -2^(1/2), 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], [-4, -4], [-9,
-9], [1, 1], [-2965821/1048576, -11863283/4194304]]]], [[1, 1, 1, 4, 3], [v <
-2^(1/2), 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], [-4, -4], [-9, -9], [1, 1]
, [-3/8388608, -3/8388608]]]], [[1, 1, 1, 4, 4], [v < -2^(1/2), 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],
[-4, -4], [-9, -9], [1, 1], [741455/262144, 2965821/1048576]]]], [[1, 1, 1, 4,
5], [v < -2^(1/2), 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], [-4, -4], [-9, -9], [1, 1], [4, 4]]]], [[1, 5
, 6, 5, 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 = z], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [1, 1], [2, 2], [0, 0]]]], [[2, 7, 5, 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
]]]], [[3, 1, 3, 5, 1], [And(-2^(1/2) < v,v < -1), u < v, And(-u^2+v^2-1 < x,x
< -1), u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152],
[5, 5], [-4, -4]]]], [[3, 1, 3, 5, 2], [And(-2^(1/2) < v,v < -1), u < v, And(-
u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-10006449/
2097152, -10006449/2097152], [5, 5], [-1532401/524288, -24518415/8388608]]]],
[[3, 1, 3, 5, 3], [And(-2^(1/2) < v,v < -1), u < v, And(-u^2+v^2-1 < x,x < -1)
, u^2-v^2+x+1 < y, 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], [5, 5], [-7/16777216, -7/16777216]]]], [[3, 1, 3,
5, 4], [And(-2^(1/2) < v,v < -1), u < v, And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x
+1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [5, 5], [3064801/
1048576, 1532401/524288]]]], [[3, 1, 3, 5, 5], [And(-2^(1/2) < v,v < -1), u <
v, And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-10006449/
2097152, -10006449/2097152], [5, 5], [4, 4]]]], [[4, 1, 7, 1, 1], [v = -1, u <
-1, 1 < x, y < -u^2-x, z < u], [regular_chain, [[-1, -1], [-2, -2], [2, 2], [-\
7, -7], [-3, -3]]]], [[4, 1, 7, 1, 2], [v = -1, u < -1, 1 < x, y < -u^2-x, z =
u], [regular_chain, [[-1, -1], [-2, -2], [2, 2], [-7, -7], [-2, -2]]]], [[4, 1
, 7, 1, 3], [v = -1, u < -1, 1 < x, y < -u^2-x, And(u < z,z < -u)], [
regular_chain, [[-1, -1], [-2, -2], [2, 2], [-7, -7], [0, 0]]]], [[4, 1, 7, 1,
4], [v = -1, u < -1, 1 < x, y < -u^2-x, z = -u], [regular_chain, [[-1, -1], [-\
2, -2], [2, 2], [-7, -7], [2, 2]]]], [[4, 1, 7, 1, 5], [v = -1, u < -1, 1 < x,
y < -u^2-x, -u < z], [regular_chain, [[-1, -1], [-2, -2], [2, 2], [-7, -7], [3
, 3]]]], [[4, 6, 5, 2, 1], [v = -1, u = 1, 1 < x, y = -1-x, z < -1], [
regular_chain, [[-1, -1], [1, 1], [2, 2], [-3, -3], [-2, -2]]]], [[4, 6, 5, 2,
2], [v = -1, u = 1, 1 < x, y = -1-x, z = -1], [regular_chain, [[-1, -1], [1, 1
], [2, 2], [-3, -3], [-1, -1]]]], [[4, 6, 5, 2, 3], [v = -1, u = 1, 1 < x, y =
-1-x, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [1, 1], [2, 2], [-3, -3],
[0, 0]]]], [[4, 6, 5, 2, 4], [v = -1, u = 1, 1 < x, y = -1-x, z = 1], [
regular_chain, [[-1, -1], [1, 1], [2, 2], [-3, -3], [1, 1]]]], [[4, 6, 5, 2, 5
], [v = -1, u = 1, 1 < x, y = -1-x, 1 < z], [regular_chain, [[-1, -1], [1, 1],
[2, 2], [-3, -3], [2, 2]]]], [[8, 1, 6, 1, 1], [v = 1, u < -1, x = 1, y < -u^2
-1, z < u], [regular_chain, [[1, 1], [-2, -2], [1, 1], [-6, -6], [-3, -3]]]],
[[8, 1, 6, 1, 2], [v = 1, u < -1, x = 1, y < -u^2-1, z = u], [regular_chain, [
[1, 1], [-2, -2], [1, 1], [-6, -6], [-2, -2]]]], [[8, 1, 6, 1, 3], [v = 1, u <
-1, x = 1, y < -u^2-1, And(u < z,z < -u)], [regular_chain, [[1, 1], [-2, -2],
[1, 1], [-6, -6], [0, 0]]]], [[8, 1, 6, 1, 4], [v = 1, u < -1, x = 1, y < -u^2
-1, z = -u], [regular_chain, [[1, 1], [-2, -2], [1, 1], [-6, -6], [2, 2]]]], [
[8, 1, 6, 1, 5], [v = 1, u < -1, x = 1, y < -u^2-1, -u < z], [regular_chain, [
[1, 1], [-2, -2], [1, 1], [-6, -6], [3, 3]]]], [[8, 6, 4, 2, 1], [v = 1, u = 1
, x = 1, y = -2, z < -1], [regular_chain, [[1, 1], [1, 1], [1, 1], [-2, -2], [
-2, -2]]]], [[8, 6, 4, 2, 2], [v = 1, u = 1, x = 1, y = -2, z = -1], [
regular_chain, [[1, 1], [1, 1], [1, 1], [-2, -2], [-1, -1]]]], [[8, 6, 4, 2, 3
], [v = 1, u = 1, x = 1, y = -2, And(-1 < z,z < 1)], [regular_chain, [[1, 1],
[1, 1], [1, 1], [-2, -2], [0, 0]]]], [[8, 6, 4, 2, 4], [v = 1, u = 1, x = 1, y
= -2, z = 1], [regular_chain, [[1, 1], [1, 1], [1, 1], [-2, -2], [1, 1]]]], [[
8, 6, 4, 2, 5], [v = 1, u = 1, x = 1, y = -2, 1 < z], [regular_chain, [[1, 1],
[1, 1], [1, 1], [-2, -2], [2, 2]]]], [[10, 9, 3, 5, 1], [v = 2^(1/2), And(1 <
u,u < v), And(-1 < x,x < -u^2+1), -u^2-x+1 < y, z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-1527887/2097152, -1527887/2097152], [2, 2], [-2, -2]]]], [[10, 9,
3, 5, 2], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1), -u^2-x+1 < y
, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [2, 2
], [-1417877/2097152, -354469/524288]]]], [[10, 9, 3, 5, 3], [v = 2^(1/2), And
(1 < u,u < v), And(-1 < x,x < -u^2+1), -u^2-x+1 < y, 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], [2, 2], [0,
0]]]], [[10, 9, 3, 5, 4], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+
1), -u^2-x+1 < y, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/
2097152], [2, 2], [354469/524288, 708939/1048576]]]], [[10, 9, 3, 5, 5], [v =
2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1), -u^2-x+1 < y, (u^2-1)^(1/2)
< z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-1527887/2097152, -1527887/2097152], [2, 2], [2, 2]]]], [[
11, 3, 4, 1, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1,
y < 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-129143/262144, -516571/1048576], [-1, -1], [-2, -2]]]], [[
11, 3, 4, 1, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1,
y < 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-129143/262144, -516571/1048576], [-1, -1], [-735979/
1048576, -1471957/2097152]]]], [[11, 3, 4, 1, 3], [2^(1/2) < v, And(-v < u,u <
-(v^2-1)^(1/2)), x = -u^2+v^2-1, y < 0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^
2+1)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [
-129143/262144, -516571/1048576], [-1, -1], [-1/4194304, -1/4194304]]]], [[11,
3, 4, 1, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y <
0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-129143/262144, -516571/1048576], [-1, -1], [367989/524288,
735979/1048576]]]], [[11, 3, 4, 1, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(
1/2)), x = -u^2+v^2-1, y < 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3],
[-6111549/2097152, -6111549/2097152], [-129143/262144, -516571/1048576], [-1,
-1], [2, 2]]]], [[1, 10, 5, 3, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), And(0 < x
,x < 1), And(-x < y,y < x), z < 0], [regular_chain, [[-3, -3], [741455/262144,
2965821/1048576], [1/2, 1/2], [0, 0], [-1, -1]]]], [[1, 10, 5, 3, 2], [v < -2^
(1/2), u = (v^2-1)^(1/2), And(0 < x,x < 1), And(-x < y,y < x), z = 0], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [1/2, 1/2], [0, 0]
, [0, 0]]]], [[1, 10, 5, 3, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), And(0 < x,x
< 1), And(-x < y,y < x), 0 < z], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [1/2, 1/2], [0, 0], [1, 1]]]], [[2, 2, 3, 4, 1], [v = -2^(1/
2), u = v, And(-1 < x,x < 1), y = x+1, z < -1], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1482911/1048576, -741455/524288], [0, 0], [1, 1],
[-2, -2]]]], [[2, 2, 3, 4, 2], [v = -2^(1/2), u = v, And(-1 < x,x < 1), y = x+
1, z = -1], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [0, 0], [1, 1], [-1, -1]]]], [[2, 2, 3, 4, 3], [v =
-2^(1/2), u = v, And(-1 < x,x < 1), y = x+1, And(-1 < z,z < 1)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [0, 0], [1, 1], [0, 0]]]], [[2, 2, 3, 4, 4], [v = -2^(1/2), u = v, 
And(-1 < x,x < 1), y = x+1, z = 1], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1482911/1048576, -741455/524288], [0, 0], [1, 1], [1, 1]]]],
[[2, 2, 3, 4, 5], [v = -2^(1/2), u = v, And(-1 < x,x < 1), y = x+1, 1 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [0, 0], [1, 1], [2, 2]]]], [[3, 5, 7, 1, 1], [And(-2^(1/2) < v,v < -\
1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z = z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [2, 2], [-3,
-3], [0, 0]]]], [[4, 1, 5, 2, 1], [v = -1, u < -1, And(-1 < x,x < 1), y = -u^2
-x, z < u], [regular_chain, [[-1, -1], [-2, -2], [0, 0], [-4, -4], [-3, -3]]]]
, [[4, 1, 5, 2, 2], [v = -1, u < -1, And(-1 < x,x < 1), y = -u^2-x, z = u], [
regular_chain, [[-1, -1], [-2, -2], [0, 0], [-4, -4], [-2, -2]]]], [[4, 1, 5,
2, 3], [v = -1, u < -1, And(-1 < x,x < 1), y = -u^2-x, And(u < z,z < -u)], [
regular_chain, [[-1, -1], [-2, -2], [0, 0], [-4, -4], [0, 0]]]], [[4, 1, 5, 2,
4], [v = -1, u < -1, And(-1 < x,x < 1), y = -u^2-x, z = -u], [regular_chain, [
[-1, -1], [-2, -2], [0, 0], [-4, -4], [2, 2]]]], [[4, 1, 5, 2, 5], [v = -1, u
< -1, And(-1 < x,x < 1), y = -u^2-x, -u < z], [regular_chain, [[-1, -1], [-2,
-2], [0, 0], [-4, -4], [3, 3]]]], [[5, 4, 3, 5, 1], [And(-1 < v,v < 0), u = -v
, And(-1 < x,x < 1), x+1 < y, z < -1], [regular_chain, [[-1/2, -1/2], [1/2, 1/
2], [0, 0], [2, 2], [-2, -2]]]], [[5, 4, 3, 5, 2], [And(-1 < v,v < 0), u = -v,
And(-1 < x,x < 1), x+1 < y, z = -1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2]
, [0, 0], [2, 2], [-1, -1]]]], [[5, 4, 3, 5, 3], [And(-1 < v,v < 0), u = -v, 
And(-1 < x,x < 1), x+1 < y, And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/2],
[1/2, 1/2], [0, 0], [2, 2], [0, 0]]]], [[5, 4, 3, 5, 4], [And(-1 < v,v < 0), u
= -v, And(-1 < x,x < 1), x+1 < y, z = 1], [regular_chain, [[-1/2, -1/2], [1/2,
1/2], [0, 0], [2, 2], [1, 1]]]], [[5, 4, 3, 5, 5], [And(-1 < v,v < 0), u = -v,
And(-1 < x,x < 1), x+1 < y, 1 < z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2],
[0, 0], [2, 2], [2, 2]]]], [[7, 1, 4, 1, 1], [And(0 < v,v < 1), u < -v, x = -1
, y < -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2]
, [-1, -1], [-5, -5], [-4, -4]]]], [[7, 1, 4, 1, 2], [And(0 < v,v < 1), u < -v
, x = -1, y < -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2],
[-2, -2], [-1, -1], [-5, -5], [-2285319/1048576, -1142659/524288]]]], [[7, 1,
4, 1, 3], [And(0 < v,v < 1), 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], [-2, -2], [-1, -\
1], [-5, -5], [0, 0]]]], [[7, 1, 4, 1, 4], [And(0 < v,v < 1), u < -v, x = -1,
y < -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2], [
-1, -1], [-5, -5], [1142659/524288, 2285319/1048576]]]], [[7, 1, 4, 1, 5], [
And(0 < v,v < 1), u < -v, x = -1, y < -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-2, -2], [-1, -1], [-5, -5], [4, 4]]]], [[9, 4, 2
, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -1, And(-1 < y,y < 1
), z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [-1, -1], [0, 0], [-1, -1]]]], [[9, 4, 2, 3, 2], [
And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -1, And(-1 < y,y < 1), z = 0],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [-1, -1], [0, 0], [0, 0]]]], [[9, 4, 2, 3, 3], [And(1 < v,v <
2^(1/2)), u = -(v^2-1)^(1/2), x = -1, And(-1 < y,y < 1), 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-1, -1], [0, 0], [1, 1]]]], [[9, 8, 5, 4, 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, 8, 5, 4, 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, 8, 5, 4, 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, 8, 5, 4, 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, 8, 5, 4, 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, 9, 2, 3, 1], [And(1 < v,v < 2^(1/2)), v < u, x = -u^2+v^2-1, 0 < y, z
< -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3
, 3], [-4478937/524288, -8957873/1048576], [1, 1], [-4, -4]]]], [[9, 9, 2, 3,
2], [And(1 < v,v < 2^(1/2)), v < u, x = -u^2+v^2-1, 0 < y, z = -(u^2-v^2+1)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-4478937/
524288, -8957873/1048576], [1, 1], [-1532401/524288, -24518415/8388608]]]], [[
9, 9, 2, 3, 3], [And(1 < v,v < 2^(1/2)), v < u, x = -u^2+v^2-1, 0 < y, 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], [1, 1], [-7/
16777216, -7/16777216]]]], [[9, 9, 2, 3, 4], [And(1 < v,v < 2^(1/2)), v < u, x
= -u^2+v^2-1, 0 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [3, 3], [-4478937/524288, -8957873/1048576], [1, 1], [
3064801/1048576, 1532401/524288]]]], [[9, 9, 2, 3, 5], [And(1 < v,v < 2^(1/2))
, v < u, x = -u^2+v^2-1, 0 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [-4478937/524288, -8957873/1048576]
, [1, 1], [4, 4]]]], [[10, 4, 7, 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, 4, 7, 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, 4, 7, 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]]]], [[11, 8, 4, 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, 13, 4, 4, 1], [2^(1/2) < v, v < u, x = -1, y = u^2-v^2, z < -
(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [-1, -1], [7, 7], [-4, -4
]]]], [[11, 13, 4, 4, 2], [2^(1/2) < v, v < u, x = -1, y = u^2-v^2, z = -(u^2-
v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [-1, -1], [7, 7], [-2965821/
1048576, -11863283/4194304]]]], [[11, 13, 4, 4, 3], [2^(1/2) < v, v < 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], [4, 4], [-1, -1], [7, 7], [-3/8388608, -3/8388608]]]],
[[11, 13, 4, 4, 4], [2^(1/2) < v, v < u, x = -1, y = u^2-v^2, z = (u^2-v^2+1)^
(1/2)], [regular_chain, [[3, 3], [4, 4], [-1, -1], [7, 7], [741455/262144, 
2965821/1048576]]]], [[11, 13, 4, 4, 5], [2^(1/2) < v, v < u, x = -1, y = u^2-
v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [4, 4], [-1, -1], [7, 7]
, [4, 4]]]], [[1, 1, 1, 5, 1], [v < -2^(1/2), u < v, x < -u^2+v^2-1, -u^2+v^2-
x-1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4], [-9, -9
], [2, 2], [-4, -4]]]], [[1, 1, 1, 5, 2], [v < -2^(1/2), u < v, x < -u^2+v^2-1
, -u^2+v^2-x-1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -\
4], [-9, -9], [2, 2], [-2965821/1048576, -11863283/4194304]]]], [[1, 1, 1, 5,
3], [v < -2^(1/2), u < v, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, And(-(u^2-v^2+1)^(
1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-4, -4], [-9, -9
], [2, 2], [-3/8388608, -3/8388608]]]], [[1, 1, 1, 5, 4], [v < -2^(1/2), u < v
, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
-3, -3], [-4, -4], [-9, -9], [2, 2], [741455/262144, 2965821/1048576]]]], [[1,
1, 1, 5, 5], [v < -2^(1/2), u < v, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, (u^2-v^2+
1)^(1/2) < z], [regular_chain, [[-3, -3], [-4, -4], [-9, -9], [2, 2], [4, 4]]]
], [[1, 5, 7, 1, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2))
, 1 < x, y < -u^2+v^2-x-1, z = z], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [2, 2], [-3, -3], [0, 0]]]], [[2, 7, 5, 3, 1], [v
= -2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), And(-u^2-x+1 < y,y < u^2+
x-1), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2],
[7/8, 7/8], [0, 0], [0, 0]]]], [[3, 1, 3, 4, 1], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [-10006449/
2097152, -10006449/2097152], [494331/131072, 3954649/1048576], [-4, -4]]]], [[
3, 1, 3, 4, 2], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [-10006449/2097152, -10006449/2097152], [494331/
131072, 3954649/1048576], [-1532401/524288, -24518415/8388608]]]], [[3, 1, 3,
4, 3], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [-10006449/2097152, -10006449/
2097152], [494331/131072, 3954649/1048576], [-7/16777216, -7/16777216]]]], [[3
, 1, 3, 4, 4], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [-10006449/2097152, -10006449/2097152], [494331/
131072, 3954649/1048576], [3064801/1048576, 1532401/524288]]]], [[3, 1, 3, 4,
5], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [-10006449/2097152, -10006449/2097152], [494331/131072, 
3954649/1048576], [4, 4]]]], [[4, 1, 7, 2, 1], [v = -1, u < -1, 1 < x, y = -u^
2-x, z < u], [regular_chain, [[-1, -1], [-2, -2], [2, 2], [-6, -6], [-3, -3]]]
], [[4, 1, 7, 2, 2], [v = -1, u < -1, 1 < x, y = -u^2-x, z = u], [
regular_chain, [[-1, -1], [-2, -2], [2, 2], [-6, -6], [-2, -2]]]], [[4, 1, 7,
2, 3], [v = -1, u < -1, 1 < x, y = -u^2-x, And(u < z,z < -u)], [regular_chain,
[[-1, -1], [-2, -2], [2, 2], [-6, -6], [0, 0]]]], [[4, 1, 7, 2, 4], [v = -1, u
< -1, 1 < x, y = -u^2-x, z = -u], [regular_chain, [[-1, -1], [-2, -2], [2, 2],
[-6, -6], [2, 2]]]], [[4, 1, 7, 2, 5], [v = -1, u < -1, 1 < x, y = -u^2-x, -u
< z], [regular_chain, [[-1, -1], [-2, -2], [2, 2], [-6, -6], [3, 3]]]], [[4, 6
, 5, 3, 1], [v = -1, u = 1, 1 < x, And(-1-x < y,y < x+1), z < -1], [
regular_chain, [[-1, -1], [1, 1], [2, 2], [0, 0], [-2, -2]]]], [[4, 6, 5, 3, 2
], [v = -1, u = 1, 1 < x, And(-1-x < y,y < x+1), z = -1], [regular_chain, [[-1
, -1], [1, 1], [2, 2], [0, 0], [-1, -1]]]], [[4, 6, 5, 3, 3], [v = -1, u = 1,
1 < x, And(-1-x < y,y < x+1), And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [
1, 1], [2, 2], [0, 0], [0, 0]]]], [[4, 6, 5, 3, 4], [v = -1, u = 1, 1 < x, And
(-1-x < y,y < x+1), z = 1], [regular_chain, [[-1, -1], [1, 1], [2, 2], [0, 0],
[1, 1]]]], [[4, 6, 5, 3, 5], [v = -1, u = 1, 1 < x, And(-1-x < y,y < x+1), 1 <
z], [regular_chain, [[-1, -1], [1, 1], [2, 2], [0, 0], [2, 2]]]], [[8, 1, 5, 5
, 1], [v = 1, u < -1, And(-1 < x,x < 1), u^2+x < y, z < u], [regular_chain, [[
1, 1], [-2, -2], [0, 0], [5, 5], [-3, -3]]]], [[8, 1, 5, 5, 2], [v = 1, u < -1
, And(-1 < x,x < 1), u^2+x < y, z = u], [regular_chain, [[1, 1], [-2, -2], [0,
0], [5, 5], [-2, -2]]]], [[8, 1, 5, 5, 3], [v = 1, u < -1, And(-1 < x,x < 1),
u^2+x < y, And(u < z,z < -u)], [regular_chain, [[1, 1], [-2, -2], [0, 0], [5,
5], [0, 0]]]], [[8, 1, 5, 5, 4], [v = 1, u < -1, And(-1 < x,x < 1), u^2+x < y,
z = -u], [regular_chain, [[1, 1], [-2, -2], [0, 0], [5, 5], [2, 2]]]], [[8, 1,
5, 5, 5], [v = 1, u < -1, And(-1 < x,x < 1), u^2+x < y, -u < z], [
regular_chain, [[1, 1], [-2, -2], [0, 0], [5, 5], [3, 3]]]], [[8, 6, 4, 1, 1],
[v = 1, u = 1, x = 1, y < -2, z < -1], [regular_chain, [[1, 1], [1, 1], [1, 1]
, [-3, -3], [-2, -2]]]], [[8, 6, 4, 1, 2], [v = 1, u = 1, x = 1, y < -2, z = -\
1], [regular_chain, [[1, 1], [1, 1], [1, 1], [-3, -3], [-1, -1]]]], [[8, 6, 4,
1, 3], [v = 1, u = 1, x = 1, y < -2, And(-1 < z,z < 1)], [regular_chain, [[1,
1], [1, 1], [1, 1], [-3, -3], [0, 0]]]], [[8, 6, 4, 1, 4], [v = 1, u = 1, x =
1, y < -2, z = 1], [regular_chain, [[1, 1], [1, 1], [1, 1], [-3, -3], [1, 1]]]
], [[8, 6, 4, 1, 5], [v = 1, u = 1, x = 1, y < -2, 1 < z], [regular_chain, [[1
, 1], [1, 1], [1, 1], [-3, -3], [2, 2]]]], [[10, 9, 4, 1, 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], [-1, -1], [-2, -2]]]], [[10, 9, 4, 1, 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], [-1, -1], [-1417877/2097152, -354469/524288]]
]], [[10, 9, 4, 1, 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], [-1, -1], [0, 0]]]], [[10, 9, 4, 1, 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], [-1, -1], [354469/524288, 708939/1048576]]]], [[10, 9, 4, 1
, 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], [-1, -1], [2, 2]]]], [[11, 3, 4,
2, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 0, z
< -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-129143/262144, -516571/1048576], [0, 0], [-2, -2]]]], [[11, 3, 4,
2, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 0, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-129143/262144, -516571/1048576], [0, 0], [-735979/1048576, -\
1471957/2097152]]]], [[11, 3, 4, 2, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^
(1/2)), x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2
))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-129143/
262144, -516571/1048576], [0, 0], [-1/4194304, -1/4194304]]]], [[11, 3, 4, 2,
4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 0, z = (
u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-129143/262144, -516571/1048576], [0, 0], [367989/524288, 735979/
1048576]]]], [[11, 3, 4, 2, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-129143/262144, -516571/1048576], [0, 0],
[2, 2]]]], [[1, 10, 5, 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, 10, 5, 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, 10, 5
, 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]]]], [[2, 2, 3, 5, 1], [v = -2^(1/2), u = v, And(-1 < x,x < 1), x+
1 < y, z < -1], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911
/1048576, -741455/524288], [0, 0], [2, 2], [-2, -2]]]], [[2, 2, 3, 5, 2], [v =
-2^(1/2), u = v, And(-1 < x,x < 1), x+1 < y, z = -1], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [0, 0],
[2, 2], [-1, -1]]]], [[2, 2, 3, 5, 3], [v = -2^(1/2), u = v, And(-1 < x,x < 1)
, x+1 < y, And(-1 < z,z < 1)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1482911/1048576, -741455/524288], [0, 0], [2, 2], [0, 0]]]], [[2, 2
, 3, 5, 4], [v = -2^(1/2), u = v, And(-1 < x,x < 1), x+1 < y, z = 1], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [0, 0], [2, 2], [1, 1]]]], [[2, 2, 3, 5, 5], [v = -2^(1/2), u = v, 
And(-1 < x,x < 1), x+1 < y, 1 < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1482911/1048576, -741455/524288], [0, 0], [2, 2], [2, 2]]]],
[[3, 5, 6, 5, 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 = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [1, 1], [2, 2], [0, 0]]]], [[4, 1, 5, 1, 1], [v = -1
, u < -1, And(-1 < x,x < 1), y < -u^2-x, z < u], [regular_chain, [[-1, -1], [-\
2, -2], [0, 0], [-5, -5], [-3, -3]]]], [[4, 1, 5, 1, 2], [v = -1, u < -1, And(
-1 < x,x < 1), y < -u^2-x, z = u], [regular_chain, [[-1, -1], [-2, -2], [0, 0]
, [-5, -5], [-2, -2]]]], [[4, 1, 5, 1, 3], [v = -1, u < -1, And(-1 < x,x < 1),
y < -u^2-x, And(u < z,z < -u)], [regular_chain, [[-1, -1], [-2, -2], [0, 0], [
-5, -5], [0, 0]]]], [[4, 1, 5, 1, 4], [v = -1, u < -1, And(-1 < x,x < 1), y <
-u^2-x, z = -u], [regular_chain, [[-1, -1], [-2, -2], [0, 0], [-5, -5], [2, 2]
]]], [[4, 1, 5, 1, 5], [v = -1, u < -1, And(-1 < x,x < 1), y < -u^2-x, -u < z]
, [regular_chain, [[-1, -1], [-2, -2], [0, 0], [-5, -5], [3, 3]]]], [[5, 4, 4,
1, 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], [-3, -3], [-2, -2]]]], [[5, 4, 4, 1, 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], [-3, -3], [-1, -1]]]], [[5, 4, 4, 1, 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], [-3, -3], [0, 0]]]], [[5, 4, 4, 1, 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], [-3, -3], [1, 1]]]], [[5, 4, 4, 1, 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], [-3, -3], [
2, 2]]]], [[7, 1, 4, 2, 1], [And(0 < v,v < 1), u < -v, x = -1, y = -u^2+v^2, z
< -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2], [-1, -1], [-15/4
, -15/4], [-4, -4]]]], [[7, 1, 4, 2, 2], [And(0 < v,v < 1), u < -v, x = -1, y
= -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2], [-\
1, -1], [-15/4, -15/4], [-2285319/1048576, -1142659/524288]]]], [[7, 1, 4, 2,
3], [And(0 < v,v < 1), 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], [-2, -2], [-1, -1], [-\
15/4, -15/4], [0, 0]]]], [[7, 1, 4, 2, 4], [And(0 < v,v < 1), u < -v, x = -1,
y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2], [
-1, -1], [-15/4, -15/4], [1142659/524288, 2285319/1048576]]]], [[7, 1, 4, 2, 5
], [And(0 < v,v < 1), u < -v, x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-2, -2], [-1, -1], [-15/4, -15/4], [4, 4]]]], [[9
, 4, 2, 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, 4, 2, 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, 4, 2, 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, 5, 3, 1], [And(1 < v,v < 2^(1/2)), u = v, 1 < x, And(-1-x < y,y < x+1),
z < -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576
, 1265743/1048576], [2, 2], [0, 0], [-2, -2]]]], [[9, 8, 5, 3, 2], [And(1 < v,
v < 2^(1/2)), u = v, 1 < x, And(-1-x < y,y < x+1), z = -1], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2],
[0, 0], [-1, -1]]]], [[9, 8, 5, 3, 3], [And(1 < v,v < 2^(1/2)), u = v, 1 < x,
And(-1-x < y,y < x+1), And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576,
1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [0, 0], [0, 0]]]
], [[9, 8, 5, 3, 4], [And(1 < v,v < 2^(1/2)), u = v, 1 < x, And(-1-x < y,y < x
+1), z = 1], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [2, 2], [0, 0], [1, 1]]]], [[9, 8, 5, 3, 5], [And(1
< v,v < 2^(1/2)), u = v, 1 < x, And(-1-x < y,y < x+1), 1 < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2
], [0, 0], [2, 2]]]], [[9, 9, 3, 1, 1], [And(1 < v,v < 2^(1/2)), v < 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], [-5, -5], [-4, -4]]]], [[9, 9, 3, 1, 2], [And(1 < v,v <
2^(1/2)), v < 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], [-5, -5], [-1532401/524288, -24518415/
8388608]]]], [[9, 9, 3, 1, 3], [And(1 < v,v < 2^(1/2)), v < 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], [-5, -5], [-7/16777216, -7/16777216]]]], [[9, 9,
3, 1, 4], [And(1 < v,v < 2^(1/2)), v < 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], [-5, -5], [3064801/
1048576, 1532401/524288]]]], [[9, 9, 3, 1, 5], [And(1 < v,v < 2^(1/2)), v < 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], [-5, -5], [4, 4]]]], [[10, 4, 7, 5, 1], [v = 2^(1/2), u
= -1, 1 < x, x < y, z < 0], [regular_chain, [[741455/524288, 1482911/1048576],
[-1, -1], [2, 2], [3, 3], [-1, -1]]]], [[10, 4, 7, 5, 2], [v = 2^(1/2), u = -1
, 1 < x, x < y, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1
, -1], [2, 2], [3, 3], [0, 0]]]], [[10, 4, 7, 5, 3], [v = 2^(1/2), u = -1, 1 <
x, x < y, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1],
[2, 2], [3, 3], [1, 1]]]], [[11, 8, 3, 5, 1], [2^(1/2) < v, u = (v^2-2)^(1/2),
And(-1 < x,x < 1), -x+1 < y, z = z], [regular_chain, [[3, 3], [2774271/1048576
, 10837/4096], [0, 0], [2, 2], [0, 0]]]], [[11, 13, 4, 3, 1], [2^(1/2) < v, v
< u, x = -1, And(-u^2+v^2 < y,y < u^2-v^2), z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [4, 4], [-1, -1], [0, 0], [-4, -4]]]], [[11, 13, 4, 3,
2], [2^(1/2) < v, v < u, x = -1, And(-u^2+v^2 < y,y < u^2-v^2), z = -(u^2-v^2+
1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [-1, -1], [0, 0], [-2965821/
1048576, -11863283/4194304]]]], [[11, 13, 4, 3, 3], [2^(1/2) < v, v < u, x = -\
1, And(-u^2+v^2 < y,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], [4, 4], [-1, -1], [0, 0], [-3/8388608, -3/
8388608]]]], [[11, 13, 4, 3, 4], [2^(1/2) < v, v < u, x = -1, And(-u^2+v^2 < y
,y < u^2-v^2), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [-1, -\
1], [0, 0], [741455/262144, 2965821/1048576]]]], [[11, 13, 4, 3, 5], [2^(1/2)
< v, v < u, x = -1, And(-u^2+v^2 < y,y < u^2-v^2), (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [4, 4], [-1, -1], [0, 0], [4, 4]]]], [[1, 1, 2, 1, 1],
[v < -2^(1/2), u < v, x = -u^2+v^2-1, y < 0, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-4, -4], [-8, -8], [-1, -1], [-4, -4]]]], [[1, 1, 2
, 1, 2], [v < -2^(1/2), u < v, x = -u^2+v^2-1, y < 0, z = -(u^2-v^2+1)^(1/2)],
[regular_chain, [[-3, -3], [-4, -4], [-8, -8], [-1, -1], [-2965821/1048576, -\
11863283/4194304]]]], [[1, 1, 2, 1, 3], [v < -2^(1/2), 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], [-4, -4], [-8, -8], [-1, -1], [-3/8388608, -3/8388608]]]], [[1, 1, 2,
1, 4], [v < -2^(1/2), u < v, x = -u^2+v^2-1, y < 0, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-4, -4], [-8, -8], [-1, -1], [741455/262144, 
2965821/1048576]]]], [[1, 1, 2, 1, 5], [v < -2^(1/2), u < v, x = -u^2+v^2-1, y
< 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-4, -4], [-8, -8], [-\
1, -1], [4, 4]]]], [[1, 5, 6, 3, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u <
-(v^2-2)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z = z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [1, 1], [0,
0], [0, 0]]]], [[2, 7, 6, 1, 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], [-2, -2], [0, 0]]]], [[3, 1, 3, 3, 1], [And(-2^(1/2) < v,v < -1), u <
v, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,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], [-3/8388608, -3/8388608], [-4, -4]
]]], [[3, 1, 3, 3, 2], [And(-2^(1/2) < v,v < -1), u < v, And(-u^2+v^2-1 < x,x
< -1), And(-u^2+v^2-x-1 < y,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], [-3/8388608, -3/8388608], [-1532401/524288, -\
24518415/8388608]]]], [[3, 1, 3, 3, 3], [And(-2^(1/2) < v,v < -1), u < v, And(
-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^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], [-3/
8388608, -3/8388608], [-7/16777216, -7/16777216]]]], [[3, 1, 3, 3, 4], [And(-2
^(1/2) < v,v < -1), u < v, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,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], [-3/
8388608, -3/8388608], [3064801/1048576, 1532401/524288]]]], [[3, 1, 3, 3, 5],
[And(-2^(1/2) < v,v < -1), u < v, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1
< y,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],
[-3/8388608, -3/8388608], [4, 4]]]], [[4, 1, 7, 3, 1], [v = -1, u < -1, 1 < x,
And(-u^2-x < y,y < u^2+x), z < u], [regular_chain, [[-1, -1], [-2, -2], [2, 2]
, [0, 0], [-3, -3]]]], [[4, 1, 7, 3, 2], [v = -1, u < -1, 1 < x, And(-u^2-x <
y,y < u^2+x), z = u], [regular_chain, [[-1, -1], [-2, -2], [2, 2], [0, 0], [-2
, -2]]]], [[4, 1, 7, 3, 3], [v = -1, u < -1, 1 < x, And(-u^2-x < y,y < u^2+x),
And(u < z,z < -u)], [regular_chain, [[-1, -1], [-2, -2], [2, 2], [0, 0], [0, 0
]]]], [[4, 1, 7, 3, 4], [v = -1, u < -1, 1 < x, And(-u^2-x < y,y < u^2+x), z =
-u], [regular_chain, [[-1, -1], [-2, -2], [2, 2], [0, 0], [2, 2]]]], [[4, 1, 7
, 3, 5], [v = -1, u < -1, 1 < x, And(-u^2-x < y,y < u^2+x), -u < z], [
regular_chain, [[-1, -1], [-2, -2], [2, 2], [0, 0], [3, 3]]]], [[4, 6, 4, 5, 1
], [v = -1, u = 1, x = 1, 2 < y, z < -1], [regular_chain, [[-1, -1], [1, 1], [
1, 1], [3, 3], [-2, -2]]]], [[4, 6, 4, 5, 2], [v = -1, u = 1, x = 1, 2 < y, z
= -1], [regular_chain, [[-1, -1], [1, 1], [1, 1], [3, 3], [-1, -1]]]], [[4, 6,
4, 5, 3], [v = -1, u = 1, x = 1, 2 < y, And(-1 < z,z < 1)], [regular_chain, [[
-1, -1], [1, 1], [1, 1], [3, 3], [0, 0]]]], [[4, 6, 4, 5, 4], [v = -1, u = 1,
x = 1, 2 < y, z = 1], [regular_chain, [[-1, -1], [1, 1], [1, 1], [3, 3], [1, 1
]]]], [[4, 6, 4, 5, 5], [v = -1, u = 1, x = 1, 2 < y, 1 < z], [regular_chain,
[[-1, -1], [1, 1], [1, 1], [3, 3], [2, 2]]]], [[8, 1, 6, 3, 1], [v = 1, u < -1
, x = 1, And(-u^2-1 < y,y < u^2+1), z < u], [regular_chain, [[1, 1], [-2, -2],
[1, 1], [0, 0], [-3, -3]]]], [[8, 1, 6, 3, 2], [v = 1, u < -1, x = 1, And(-u^2
-1 < y,y < u^2+1), z = u], [regular_chain, [[1, 1], [-2, -2], [1, 1], [0, 0],
[-2, -2]]]], [[8, 1, 6, 3, 3], [v = 1, u < -1, x = 1, And(-u^2-1 < y,y < u^2+1
), And(u < z,z < -u)], [regular_chain, [[1, 1], [-2, -2], [1, 1], [0, 0], [0,
0]]]], [[8, 1, 6, 3, 4], [v = 1, u < -1, x = 1, And(-u^2-1 < y,y < u^2+1), z =
-u], [regular_chain, [[1, 1], [-2, -2], [1, 1], [0, 0], [2, 2]]]], [[8, 1, 6,
3, 5], [v = 1, u < -1, x = 1, And(-u^2-1 < y,y < u^2+1), -u < z], [
regular_chain, [[1, 1], [-2, -2], [1, 1], [0, 0], [3, 3]]]], [[8, 6, 3, 5, 1],
[v = 1, u = 1, And(-1 < x,x < 1), x+1 < y, z < -1], [regular_chain, [[1, 1], [
1, 1], [0, 0], [2, 2], [-2, -2]]]], [[8, 6, 3, 5, 2], [v = 1, u = 1, And(-1 <
x,x < 1), x+1 < y, z = -1], [regular_chain, [[1, 1], [1, 1], [0, 0], [2, 2], [
-1, -1]]]], [[8, 6, 3, 5, 3], [v = 1, u = 1, And(-1 < x,x < 1), x+1 < y, And(-\
1 < z,z < 1)], [regular_chain, [[1, 1], [1, 1], [0, 0], [2, 2], [0, 0]]]], [[8
, 6, 3, 5, 4], [v = 1, u = 1, And(-1 < x,x < 1), x+1 < y, z = 1], [
regular_chain, [[1, 1], [1, 1], [0, 0], [2, 2], [1, 1]]]], [[8, 6, 3, 5, 5], [
v = 1, u = 1, And(-1 < x,x < 1), x+1 < y, 1 < z], [regular_chain, [[1, 1], [1,
1], [0, 0], [2, 2], [2, 2]]]], [[10, 9, 4, 2, 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, 9, 4, 2, 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, 9, 4,
2, 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, 9, 4, 2, 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, 9, 4, 2, 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, 3, 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], [133001/524288, 266003/1048576], [-2, -2]
]]], [[11, 3, 3, 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
], [133001/524288, 266003/1048576], [-735979/1048576, -1471957/2097152]]]], [[
11, 3, 3, 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], [133001/524288, 266003/1048576], [-1/4194304, -1/
4194304]]]], [[11, 3, 3, 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], [133001/524288, 266003/1048576], [367989/524288, 735979/
1048576]]]], [[11, 3, 3, 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], [133001/524288, 266003/1048576], [2, 2]]]], [[1, 10, 5, 5, 1]
, [v < -2^(1/2), u = (v^2-1)^(1/2), And(0 < x,x < 1), x < y, z < 0], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [1/2, 1/2], [2, 2]
, [-1, -1]]]], [[1, 10, 5, 5, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), And(0 < x,
x < 1), x < y, z = 0], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [1/2, 1/2], [2, 2], [0, 0]]]], [[1, 10, 5, 5, 3], [v < -2^(1/2), u =
(v^2-1)^(1/2), And(0 < x,x < 1), x < y, 0 < z], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [1/2, 1/2], [2, 2], [1, 1]]]], [[2, 2, 3, 2,
1], [v = -2^(1/2), u = v, And(-1 < x,x < 1), y = -1-x, z < -1], [regular_chain
, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [0,
0], [-1, -1], [-2, -2]]]], [[2, 2, 3, 2, 2], [v = -2^(1/2), u = v, And(-1 < x,
x < 1), y = -1-x, z = -1], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1482911/1048576, -741455/524288], [0, 0], [-1, -1], [-1, -1]]]], [[2, 2, 3
, 2, 3], [v = -2^(1/2), u = v, And(-1 < x,x < 1), y = -1-x, And(-1 < z,z < 1)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -\
741455/524288], [0, 0], [-1, -1], [0, 0]]]], [[2, 2, 3, 2, 4], [v = -2^(1/2),
u = v, And(-1 < x,x < 1), y = -1-x, z = 1], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1482911/1048576, -741455/524288], [0, 0], [-1, -1], [1, 1
]]]], [[2, 2, 3, 2, 5], [v = -2^(1/2), u = v, And(-1 < x,x < 1), y = -1-x, 1 <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -\
741455/524288], [0, 0], [-1, -1], [2, 2]]]], [[3, 5, 7, 3, 1], [And(-2^(1/2) <
v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1
< y,y < u^2-v^2+x+1), z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [2, 2], [0, 0], [0, 0]]]], [[4, 1, 4, 5, 1], [v = -1, u < -1
, x = -1, u^2-1 < y, z < u], [regular_chain, [[-1, -1], [-2, -2], [-1, -1], [4
, 4], [-3, -3]]]], [[4, 1, 4, 5, 2], [v = -1, u < -1, x = -1, u^2-1 < y, z = u
], [regular_chain, [[-1, -1], [-2, -2], [-1, -1], [4, 4], [-2, -2]]]], [[4, 1,
4, 5, 3], [v = -1, u < -1, x = -1, u^2-1 < y, And(u < z,z < -u)], [
regular_chain, [[-1, -1], [-2, -2], [-1, -1], [4, 4], [0, 0]]]], [[4, 1, 4, 5,
4], [v = -1, u < -1, x = -1, u^2-1 < y, z = -u], [regular_chain, [[-1, -1], [-\
2, -2], [-1, -1], [4, 4], [2, 2]]]], [[4, 1, 4, 5, 5], [v = -1, u < -1, x = -1
, u^2-1 < y, -u < z], [regular_chain, [[-1, -1], [-2, -2], [-1, -1], [4, 4], [
3, 3]]]], [[5, 4, 4, 2, 1], [And(-1 < v,v < 0), u = -v, x = 1, y = -2, z < -1]
, [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1, 1], [-2, -2], [-2, -2]]]], [[
5, 4, 4, 2, 2], [And(-1 < v,v < 0), u = -v, x = 1, y = -2, z = -1], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1, 1], [-2, -2], [-1, -1]]]], [[5,
4, 4, 2, 3], [And(-1 < v,v < 0), u = -v, x = 1, y = -2, And(-1 < z,z < 1)], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1, 1], [-2, -2], [0, 0]]]], [[5, 4,
4, 2, 4], [And(-1 < v,v < 0), u = -v, x = 1, y = -2, z = 1], [regular_chain, [
[-1/2, -1/2], [1/2, 1/2], [1, 1], [-2, -2], [1, 1]]]], [[5, 4, 4, 2, 5], [And(
-1 < v,v < 0), u = -v, x = 1, y = -2, 1 < z], [regular_chain, [[-1/2, -1/2], [
1/2, 1/2], [1, 1], [-2, -2], [2, 2]]]], [[7, 1, 3, 4, 1], [And(0 < v,v < 1), 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], [-2, -2], [-23/8, -23/8], [15/8, 15/8], [-4, -4]]]
], [[7, 1, 3, 4, 2], [And(0 < v,v < 1), 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], [-2, -2],
[-23/8, -23/8], [15/8, 15/8], [-2285319/1048576, -1142659/524288]]]], [[7, 1,
3, 4, 3], [And(0 < v,v < 1), 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], [-2, -2], [-23/8, -23/8], [15/8, 15/8], [0, 0]]]], [[7, 1, 3, 4, 4], [
And(0 < v,v < 1), 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], [-2, -2], [-23/8, -23/8], [15/8,
15/8], [1142659/524288, 2285319/1048576]]]], [[7, 1, 3, 4, 5], [And(0 < v,v <
1), 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], [-2, -2], [-23/8, -23/8], [15/8, 15/8], [4, 4]
]]], [[9, 4, 2, 5, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -1, 1
< y, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [-1, -1], [2, 2], [-1, -1]]]], [[9, 4, 2, 5, 2], [
And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -1, 1 < y, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-1, -1], [2, 2], [0, 0]]]], [[9, 4, 2, 5, 3], [And(1 < v,v < 2^(1/2
)), u = -(v^2-1)^(1/2), x = -1, 1 < y, 0 < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-1, -1], [2, 2
], [1, 1]]]], [[9, 8, 5, 2, 1], [And(1 < v,v < 2^(1/2)), u = v, 1 < x, y = -1-
x, z < -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [2, 2], [-3, -3], [-2, -2]]]], [[9, 8, 5, 2, 2], [
And(1 < v,v < 2^(1/2)), u = v, 1 < x, y = -1-x, z = -1], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2],
[-3, -3], [-1, -1]]]], [[9, 8, 5, 2, 3], [And(1 < v,v < 2^(1/2)), u = v, 1 < x
, y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-3, -3], [0, 0]]]], [[9
, 8, 5, 2, 4], [And(1 < v,v < 2^(1/2)), u = v, 1 < x, y = -1-x, z = 1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [2, 2], [-3, -3], [1, 1]]]], [[9, 8, 5, 2, 5], [And(1 < v,v < 2^(1/2
)), u = v, 1 < x, y = -1-x, 1 < z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-3, -3], [2, 2]]]], [[
9, 9, 3, 2, 1], [And(1 < v,v < 2^(1/2)), v < u, And(-u^2+v^2-1 < x,x < -1), y
= -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [-3954649/
1048576, -15818595/4194304], [-4, -4]]]], [[9, 9, 3, 2, 2], [And(1 < v,v < 2^(
1/2)), v < u, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10006449
/2097152, -10006449/2097152], [-3954649/1048576, -15818595/4194304], [-1532401
/524288, -24518415/8388608]]]], [[9, 9, 3, 2, 3], [And(1 < v,v < 2^(1/2)), v <
u, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [3
, 3], [-10006449/2097152, -10006449/2097152], [-3954649/1048576, -15818595/
4194304], [-7/16777216, -7/16777216]]]], [[9, 9, 3, 2, 4], [And(1 < v,v < 2^(1
/2)), v < u, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10006449/
2097152, -10006449/2097152], [-3954649/1048576, -15818595/4194304], [3064801/
1048576, 1532401/524288]]]], [[9, 9, 3, 2, 5], [And(1 < v,v < 2^(1/2)), v < u,
And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10006449/2097152
, -10006449/2097152], [-3954649/1048576, -15818595/4194304], [4, 4]]]], [[10,
4, 7, 2, 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
, 4, 7, 2, 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,
4, 7, 2, 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]]]], [[11,
8, 4, 3, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 1, 0 < y, z = z], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [1, 1], [1, 1], [0, 0]]
]], [[11, 13, 4, 2, 1], [2^(1/2) < v, v < u, x = -1, y = -u^2+v^2, z < -(u^2-v
^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [-1, -1], [-7, -7], [-4, -4]]]]
, [[11, 13, 4, 2, 2], [2^(1/2) < v, v < u, x = -1, y = -u^2+v^2, z = -(u^2-v^2
+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [-1, -1], [-7, -7], [-2965821/
1048576, -11863283/4194304]]]], [[11, 13, 4, 2, 3], [2^(1/2) < v, v < 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], [4, 4], [-1, -1], [-7, -7], [-3/8388608, -3/8388608]]]
], [[11, 13, 4, 2, 4], [2^(1/2) < v, v < u, x = -1, y = -u^2+v^2, z = (u^2-v^2
+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [-1, -1], [-7, -7], [741455/
262144, 2965821/1048576]]]], [[11, 13, 4, 2, 5], [2^(1/2) < v, v < u, x = -1,
y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [4, 4], [-1, -1
], [-7, -7], [4, 4]]]], [[1, 1, 2, 2, 1], [v < -2^(1/2), u < v, x = -u^2+v^2-1
, y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4], [-8, -8
], [0, 0], [-4, -4]]]], [[1, 1, 2, 2, 2], [v < -2^(1/2), u < v, x = -u^2+v^2-1
, y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4], [-8, -8
], [0, 0], [-2965821/1048576, -11863283/4194304]]]], [[1, 1, 2, 2, 3], [v < -2
^(1/2), 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], [-4, -4], [-8, -8], [0, 0], [-3/8388608
, -3/8388608]]]], [[1, 1, 2, 2, 4], [v < -2^(1/2), u < v, x = -u^2+v^2-1, y =
0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4], [-8, -8], [0,
0], [741455/262144, 2965821/1048576]]]], [[1, 1, 2, 2, 5], [v < -2^(1/2), u <
v, x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [
-4, -4], [-8, -8], [0, 0], [4, 4]]]], [[1, 5, 6, 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]]]], [[2, 7, 5, 5, 1], [v = -2^(1/2), 
And(0 < u,u < 1), And(-u^2+1 < x,x < 1), u^2+x-1 < y, z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [1/2, 1/2], [7/8, 7/8], [2, 2], [0, 0]]]]
, [[3, 1, 3, 2, 1], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [-10006449/2097152, -10006449/2097152],
[-3954649/1048576, -15818595/4194304], [-4, -4]]]], [[3, 1, 3, 2, 2], [And(-2^
(1/2) < v,v < -1), u < v, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(
u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3,
-3], [-10006449/2097152, -10006449/2097152], [-3954649/1048576, -15818595/
4194304], [-1532401/524288, -24518415/8388608]]]], [[3, 1, 3, 2, 3], [And(-2^(
1/2) < v,v < -1), u < v, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u
^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152],
[-3954649/1048576, -15818595/4194304], [-7/16777216, -7/16777216]]]], [[3, 1,
3, 2, 4], [And(-2^(1/2) < v,v < -1), u < v, And(-u^2+v^2-1 < x,x < -1), y = -u
^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [-3954649/
1048576, -15818595/4194304], [3064801/1048576, 1532401/524288]]]], [[3, 1, 3,
2, 5], [And(-2^(1/2) < v,v < -1), u < v, And(-u^2+v^2-1 < x,x < -1), y = -u^2+
v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [-3954649/1048576,
-15818595/4194304], [4, 4]]]], [[4, 1, 7, 4, 1], [v = -1, u < -1, 1 < x, y = u
^2+x, z < u], [regular_chain, [[-1, -1], [-2, -2], [2, 2], [6, 6], [-3, -3]]]]
, [[4, 1, 7, 4, 2], [v = -1, u < -1, 1 < x, y = u^2+x, z = u], [regular_chain,
[[-1, -1], [-2, -2], [2, 2], [6, 6], [-2, -2]]]], [[4, 1, 7, 4, 3], [v = -1, u
< -1, 1 < x, y = u^2+x, And(u < z,z < -u)], [regular_chain, [[-1, -1], [-2, -2
], [2, 2], [6, 6], [0, 0]]]], [[4, 1, 7, 4, 4], [v = -1, u < -1, 1 < x, y = u^
2+x, z = -u], [regular_chain, [[-1, -1], [-2, -2], [2, 2], [6, 6], [2, 2]]]],
[[4, 1, 7, 4, 5], [v = -1, u < -1, 1 < x, y = u^2+x, -u < z], [regular_chain,
[[-1, -1], [-2, -2], [2, 2], [6, 6], [3, 3]]]], [[4, 6, 5, 1, 1], [v = -1, u =
1, 1 < x, y < -1-x, z < -1], [regular_chain, [[-1, -1], [1, 1], [2, 2], [-4, -\
4], [-2, -2]]]], [[4, 6, 5, 1, 2], [v = -1, u = 1, 1 < x, y < -1-x, z = -1], [
regular_chain, [[-1, -1], [1, 1], [2, 2], [-4, -4], [-1, -1]]]], [[4, 6, 5, 1,
3], [v = -1, u = 1, 1 < x, y < -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1,
-1], [1, 1], [2, 2], [-4, -4], [0, 0]]]], [[4, 6, 5, 1, 4], [v = -1, u = 1, 1
< x, y < -1-x, z = 1], [regular_chain, [[-1, -1], [1, 1], [2, 2], [-4, -4], [1
, 1]]]], [[4, 6, 5, 1, 5], [v = -1, u = 1, 1 < x, y < -1-x, 1 < z], [
regular_chain, [[-1, -1], [1, 1], [2, 2], [-4, -4], [2, 2]]]], [[8, 1, 6, 2, 1
], [v = 1, u < -1, x = 1, y = -u^2-1, z < u], [regular_chain, [[1, 1], [-2, -2
], [1, 1], [-5, -5], [-3, -3]]]], [[8, 1, 6, 2, 2], [v = 1, u < -1, x = 1, y =
-u^2-1, z = u], [regular_chain, [[1, 1], [-2, -2], [1, 1], [-5, -5], [-2, -2]]
]], [[8, 1, 6, 2, 3], [v = 1, u < -1, x = 1, y = -u^2-1, And(u < z,z < -u)], [
regular_chain, [[1, 1], [-2, -2], [1, 1], [-5, -5], [0, 0]]]], [[8, 1, 6, 2, 4
], [v = 1, u < -1, x = 1, y = -u^2-1, z = -u], [regular_chain, [[1, 1], [-2, -\
2], [1, 1], [-5, -5], [2, 2]]]], [[8, 1, 6, 2, 5], [v = 1, u < -1, x = 1, y =
-u^2-1, -u < z], [regular_chain, [[1, 1], [-2, -2], [1, 1], [-5, -5], [3, 3]]]
], [[8, 6, 3, 4, 1], [v = 1, u = 1, And(-1 < x,x < 1), y = x+1, z < -1], [
regular_chain, [[1, 1], [1, 1], [0, 0], [1, 1], [-2, -2]]]], [[8, 6, 3, 4, 2],
[v = 1, u = 1, And(-1 < x,x < 1), y = x+1, z = -1], [regular_chain, [[1, 1], [
1, 1], [0, 0], [1, 1], [-1, -1]]]], [[8, 6, 3, 4, 3], [v = 1, u = 1, And(-1 <
x,x < 1), y = x+1, And(-1 < z,z < 1)], [regular_chain, [[1, 1], [1, 1], [0, 0]
, [1, 1], [0, 0]]]], [[8, 6, 3, 4, 4], [v = 1, u = 1, And(-1 < x,x < 1), y = x
+1, z = 1], [regular_chain, [[1, 1], [1, 1], [0, 0], [1, 1], [1, 1]]]], [[8, 6
, 3, 4, 5], [v = 1, u = 1, And(-1 < x,x < 1), y = x+1, 1 < z], [regular_chain,
[[1, 1], [1, 1], [0, 0], [1, 1], [2, 2]]]], [[10, 9, 4, 3, 1], [v = 2^(1/2), 
And(1 < u,u < v), x = -u^2+1, 0 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-479311/
1048576, -239655/524288], [1, 1], [-2, -2]]]], [[10, 9, 4, 3, 2], [v = 2^(1/2)
, And(1 < u,u < v), x = -u^2+1, 0 < y, z = -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-479311/
1048576, -239655/524288], [1, 1], [-1417877/2097152, -354469/524288]]]], [[10,
9, 4, 3, 3], [v = 2^(1/2), And(1 < u,u < v), x = -u^2+1, 0 < y, 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], [1,
1], [0, 0]]]], [[10, 9, 4, 3, 4], [v = 2^(1/2), And(1 < u,u < v), x = -u^2+1,
0 < y, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[1265743/1048576, 1265743/1048576], [-479311/1048576, -239655/524288], [1, 1],
[354469/524288, 708939/1048576]]]], [[10, 9, 4, 3, 5], [v = 2^(1/2), And(1 < u
,u < v), x = -u^2+1, 0 < y, (u^2-1)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-479311/1048576
, -239655/524288], [1, 1], [2, 2]]]], [[11, 3, 3, 5, 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 < -(u
^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152
], [-391287/524288, -391287/524288], [2, 2], [-2, -2]]]], [[11, 3, 3, 5, 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 = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-391287/524288, -391287/524288], [2, 2], [-735979
/1048576, -1471957/2097152]]]], [[11, 3, 3, 5, 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(-(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], [2, 2], [-1/
4194304, -1/4194304]]]], [[11, 3, 3, 5, 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 = (u^2-v^2+1)^(1/2
)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-391287/
524288, -391287/524288], [2, 2], [367989/524288, 735979/1048576]]]], [[11, 3,
3, 5, 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, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288], [2, 2],
[2, 2]]]], [[1, 10, 6, 1, 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], [
-2, -2], [-1, -1]]]], [[1, 10, 6, 1, 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], [-2, -2], [0, 0]]]], [[1, 10, 6, 1, 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], [-2, -2], [1, 1]]]], [[2, 2, 3, 3, 1], [v = -2^(1/2)
, u = v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z < -1], [regular_chain, [[
-1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [0, 0],
[0, 0], [-2, -2]]]], [[2, 2, 3, 3, 2], [v = -2^(1/2), u = v, And(-1 < x,x < 1)
, And(-1-x < y,y < x+1), z = -1], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1482911/1048576, -741455/524288], [0, 0], [0, 0], [-1, -1]]]], [[2,
2, 3, 3, 3], [v = -2^(1/2), u = v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), 
And(-1 < z,z < 1)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1482911/1048576, -741455/524288], [0, 0], [0, 0], [0, 0]]]], [[2, 2, 3, 3, 4],
[v = -2^(1/2), u = v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z = 1], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [0, 0], [0, 0], [1, 1]]]], [[2, 2, 3, 3, 5], [v = -2^(1/2), u = v, 
And(-1 < x,x < 1), And(-1-x < y,y < x+1), 1 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1482911/1048576, -741455/524288], [0, 0], [0, 0],
[2, 2]]]], [[3, 5, 7, 2, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u
,u < (v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [2, 2], [-3235683/2097152, -\
1617841/1048576], [0, 0]]]], [[4, 1, 4, 4, 1], [v = -1, u < -1, x = -1, y = u^
2-1, z < u], [regular_chain, [[-1, -1], [-2, -2], [-1, -1], [3, 3], [-3, -3]]]
], [[4, 1, 4, 4, 2], [v = -1, u < -1, x = -1, y = u^2-1, z = u], [
regular_chain, [[-1, -1], [-2, -2], [-1, -1], [3, 3], [-2, -2]]]], [[4, 1, 4,
4, 3], [v = -1, u < -1, x = -1, y = u^2-1, And(u < z,z < -u)], [regular_chain,
[[-1, -1], [-2, -2], [-1, -1], [3, 3], [0, 0]]]], [[4, 1, 4, 4, 4], [v = -1, u
< -1, x = -1, y = u^2-1, z = -u], [regular_chain, [[-1, -1], [-2, -2], [-1, -1
], [3, 3], [2, 2]]]], [[4, 1, 4, 4, 5], [v = -1, u < -1, x = -1, y = u^2-1, -u
< z], [regular_chain, [[-1, -1], [-2, -2], [-1, -1], [3, 3], [3, 3]]]], [[5, 4
, 4, 3, 1], [And(-1 < v,v < 0), u = -v, x = 1, And(-2 < y,y < 2), z < -1], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1, 1], [0, 0], [-2, -2]]]], [[5, 4,
4, 3, 2], [And(-1 < v,v < 0), u = -v, x = 1, And(-2 < y,y < 2), z = -1], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1, 1], [0, 0], [-1, -1]]]], [[5, 4,
4, 3, 3], [And(-1 < v,v < 0), u = -v, x = 1, And(-2 < y,y < 2), And(-1 < z,z <
1)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1, 1], [0, 0], [0, 0]]]], [[5
, 4, 4, 3, 4], [And(-1 < v,v < 0), u = -v, x = 1, And(-2 < y,y < 2), z = 1], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1, 1], [0, 0], [1, 1]]]], [[5, 4, 4
, 3, 5], [And(-1 < v,v < 0), u = -v, x = 1, And(-2 < y,y < 2), 1 < z], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1, 1], [0, 0], [2, 2]]]], [[7, 1, 3
, 5, 1], [And(0 < v,v < 1), u < -v, And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 <
y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2], [-23/8, -23
/8], [3, 3], [-4, -4]]]], [[7, 1, 3, 5, 2], [And(0 < v,v < 1), u < -v, And(-u^
2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain,
[[1/2, 1/2], [-2, -2], [-23/8, -23/8], [3, 3], [-2285319/1048576, -1142659/
524288]]]], [[7, 1, 3, 5, 3], [And(0 < v,v < 1), u < -v, And(-u^2+v^2-1 < x,x
< -1), u^2-v^2+x+1 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [-2, -2], [-23/8, -23/8], [3, 3], [0, 0]]]], [[7,
1, 3, 5, 4], [And(0 < v,v < 1), u < -v, And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+
1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2], [-23/8,
-23/8], [3, 3], [1142659/524288, 2285319/1048576]]]], [[7, 1, 3, 5, 5], [And(0
< v,v < 1), u < -v, And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, (u^2-v^2+1)^(
1/2) < z], [regular_chain, [[1/2, 1/2], [-2, -2], [-23/8, -23/8], [3, 3], [4,
4]]]], [[9, 4, 2, 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, 4, 2, 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, 4, 2, 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, 8, 5, 1, 1], [And(1 < v,v < 2^(1/2)), u = v, 1 < x, y < -1-
x, z < -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [2, 2], [-4, -4], [-2, -2]]]], [[9, 8, 5, 1, 2], [
And(1 < v,v < 2^(1/2)), u = v, 1 < x, y < -1-x, z = -1], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2],
[-4, -4], [-1, -1]]]], [[9, 8, 5, 1, 3], [And(1 < v,v < 2^(1/2)), u = v, 1 < x
, y < -1-x, And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-4, -4], [0, 0]]]], [[9
, 8, 5, 1, 4], [And(1 < v,v < 2^(1/2)), u = v, 1 < x, y < -1-x, z = 1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [2, 2], [-4, -4], [1, 1]]]], [[9, 8, 5, 1, 5], [And(1 < v,v < 2^(1/2
)), u = v, 1 < x, y < -1-x, 1 < z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-4, -4], [2, 2]]]], [[
9, 9, 3, 3, 1], [And(1 < v,v < 2^(1/2)), v < u, And(-u^2+v^2-1 < x,x < -1), 
And(-u^2+v^2-x-1 < y,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], [-3/8388608, -3/8388608], [-4, -4]]]], [[9, 9, 3, 3, 2], [And(1 < v,
v < 2^(1/2)), v < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,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], [-3/8388608, -3/
8388608], [-1532401/524288, -24518415/8388608]]]], [[9, 9, 3, 3, 3], [And(1 <
v,v < 2^(1/2)), v < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^
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], [-3/8388608, -3/8388608], [-7/16777216, -7/16777216]]]], [[9, 9, 3,
3, 4], [And(1 < v,v < 2^(1/2)), v < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^
2-x-1 < y,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], [-3
/8388608, -3/8388608], [3064801/1048576, 1532401/524288]]]], [[9, 9, 3, 3, 5],
[And(1 < v,v < 2^(1/2)), v < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 <
y,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], [-3/8388608,
-3/8388608], [4, 4]]]], [[10, 4, 7, 3, 1], [v = 2^(1/2), u = -1, 1 < x, And(-x
< y,y < x), z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1
], [2, 2], [0, 0], [-1, -1]]]], [[10, 4, 7, 3, 2], [v = 2^(1/2), u = -1, 1 < x
, And(-x < y,y < x), z = 0], [regular_chain, [[741455/524288, 1482911/1048576]
, [-1, -1], [2, 2], [0, 0], [0, 0]]]], [[10, 4, 7, 3, 3], [v = 2^(1/2), u = -1
, 1 < x, And(-x < y,y < x), 0 < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [2, 2], [0, 0], [1, 1]]]], [[11, 8, 4, 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, 13, 4, 1, 1], [2^(1/2)
< v, v < u, x = -1, y < -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3
, 3], [4, 4], [-1, -1], [-8, -8], [-4, -4]]]], [[11, 13, 4, 1, 2], [2^(1/2) <
v, v < u, x = -1, y < -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3,
3], [4, 4], [-1, -1], [-8, -8], [-2965821/1048576, -11863283/4194304]]]], [[11
, 13, 4, 1, 3], [2^(1/2) < v, v < 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], [4, 4], [-1, -1], [-\
8, -8], [-3/8388608, -3/8388608]]]], [[11, 13, 4, 1, 4], [2^(1/2) < v, v < u,
x = -1, y < -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4],
[-1, -1], [-8, -8], [741455/262144, 2965821/1048576]]]], [[11, 13, 4, 1, 5], [
2^(1/2) < v, v < u, x = -1, y < -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [4, 4], [-1, -1], [-8, -8], [4, 4]]]], [[1, 11, 1, 1,
1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 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], [-2, -2], [-3, -3], [-2, -2]]]], [[1, 11, 1, 1, 2], [v < -2^(1/2), 
And((v^2-1)^(1/2) < u,u < -v), 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], [-2, -2], [-\
3, -3], [-735979/1048576, -1471957/2097152]]]], [[1, 11, 1, 1, 3], [v < -2^(1/
2), And((v^2-1)^(1/2) < u,u < -v), 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], [-2, -2], [-3, -3], [-1/4194304, -1/4194304]]]], [[1, 11, 1,
1, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 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], [-2, -2], [-3, -3], [367989/524288, 735979/1048576]]]], [[1, 11, 1,
1, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 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], [-2, -2], [-3, -3], [2, 2]]]], [[2, 3, 1, 2, 1], [v = -2^(1/2), And(
v < u,u < -1), x < -1, y = u^2+x-1, z < -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-2, -\
2], [-3235683/2097152, -1617841/1048576], [-2, -2]]]], [[2, 3, 1, 2, 2], [v =
-2^(1/2), And(v < u,u < -1), x < -1, y = u^2+x-1, z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [-3235683/2097152, -1617841/1048576], [-1417877/
2097152, -354469/524288]]]], [[2, 3, 1, 2, 3], [v = -2^(1/2), And(v < u,u < -1
), 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], [-2, -2], [-3235683/2097152, -1617841/1048576], [0, 0]]]], [
[2, 3, 1, 2, 4], [v = -2^(1/2), And(v < u,u < -1), x < -1, y = u^2+x-1, z = (u
^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-2, -2], [-3235683/2097152, -1617841/1048576], [
354469/524288, 708939/1048576]]]], [[2, 3, 1, 2, 5], [v = -2^(1/2), And(v < u,
u < -1), x < -1, y = u^2+x-1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-2, -2], [-\
3235683/2097152, -1617841/1048576], [2, 2]]]], [[3, 5, 6, 1, 1], [And(-2^(1/2)
< v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y < -u^2+v^2-2,
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1, 1],
[-2, -2], [0, 0]]]], [[4, 1, 4, 2, 1], [v = -1, u < -1, x = -1, y = -u^2+1, z
< u], [regular_chain, [[-1, -1], [-2, -2], [-1, -1], [-3, -3], [-3, -3]]]], [[
4, 1, 4, 2, 2], [v = -1, u < -1, x = -1, y = -u^2+1, z = u], [regular_chain, [
[-1, -1], [-2, -2], [-1, -1], [-3, -3], [-2, -2]]]], [[4, 1, 4, 2, 3], [v = -1
, u < -1, x = -1, y = -u^2+1, And(u < z,z < -u)], [regular_chain, [[-1, -1], [
-2, -2], [-1, -1], [-3, -3], [0, 0]]]], [[4, 1, 4, 2, 4], [v = -1, u < -1, x =
-1, y = -u^2+1, z = -u], [regular_chain, [[-1, -1], [-2, -2], [-1, -1], [-3, -\
3], [2, 2]]]], [[4, 1, 4, 2, 5], [v = -1, u < -1, x = -1, y = -u^2+1, -u < z],
[regular_chain, [[-1, -1], [-2, -2], [-1, -1], [-3, -3], [3, 3]]]], [[5, 5, 1,
3, 1], [And(-1 < v,v < 0), -v < u, x < -u^2+v^2-1, And(u^2-v^2+x+1 < y,y < -u^
2+v^2-x-1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [-\
6, -6], [0, 0], [-4, -4]]]], [[5, 5, 1, 3, 2], [And(-1 < v,v < 0), -v < u, x <
-u^2+v^2-1, And(u^2-v^2+x+1 < y,y < -u^2+v^2-x-1), z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [2, 2], [-6, -6], [0, 0], [-2285319/1048576, -\
1142659/524288]]]], [[5, 5, 1, 3, 3], [And(-1 < v,v < 0), -v < u, x < -u^2+v^2
-1, And(u^2-v^2+x+1 < y,y < -u^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], [2, 2], [-6, -6], [0, 0], [0,
0]]]], [[5, 5, 1, 3, 4], [And(-1 < v,v < 0), -v < u, x < -u^2+v^2-1, And(u^2-v
^2+x+1 < y,y < -u^2+v^2-x-1), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2,
-1/2], [2, 2], [-6, -6], [0, 0], [1142659/524288, 2285319/1048576]]]], [[5, 5,
1, 3, 5], [And(-1 < v,v < 0), -v < u, x < -u^2+v^2-1, And(u^2-v^2+x+1 < y,y <
-u^2+v^2-x-1), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [2, 2],
[-6, -6], [0, 0], [4, 4]]]], [[7, 1, 6, 4, 1], [And(0 < v,v < 1), u < -v, x =
1, y = u^2-v^2+2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -\
2], [1, 1], [23/4, 23/4], [-4, -4]]]], [[7, 1, 6, 4, 2], [And(0 < v,v < 1), u
< -v, x = 1, y = u^2-v^2+2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/
2], [-2, -2], [1, 1], [23/4, 23/4], [-2285319/1048576, -1142659/524288]]]], [[
7, 1, 6, 4, 3], [And(0 < v,v < 1), 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], [-2, -2],
[1, 1], [23/4, 23/4], [0, 0]]]], [[7, 1, 6, 4, 4], [And(0 < v,v < 1), u < -v,
x = 1, y = u^2-v^2+2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2
, -2], [1, 1], [23/4, 23/4], [1142659/524288, 2285319/1048576]]]], [[7, 1, 6,
4, 5], [And(0 < v,v < 1), u < -v, x = 1, y = u^2-v^2+2, (u^2-v^2+1)^(1/2) < z]
, [regular_chain, [[1/2, 1/2], [-2, -2], [1, 1], [23/4, 23/4], [4, 4]]]], [[9,
4, 1, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x < -1, And(x < y,y
< -x), z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [-2, -2], [0, 0], [-1, -1]]]], [[9, 4, 1, 3, 2], [
And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x < -1, And(x < y,y < -x), z = 0],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [-2, -2], [0, 0], [0, 0]]]], [[9, 4, 1, 3, 3], [And(1 < v,v <
2^(1/2)), u = -(v^2-1)^(1/2), x < -1, And(x < y,y < -x), 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-2, -2], [0, 0], [1, 1]]]], [[9, 8, 4, 4, 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
, 8, 4, 4, 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, 8, 4, 4, 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, 8, 4, 4, 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, 8, 4, 4, 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,
9, 3, 5, 1], [And(1 < v,v < 2^(1/2)), v < u, And(-u^2+v^2-1 < x,x < -1), u^2-v
^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [5, 5], [-4,
-4]]]], [[9, 9, 3, 5, 2], [And(1 < v,v < 2^(1/2)), v < u, And(-u^2+v^2-1 < x,x
< -1), u^2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [5,
5], [-1532401/524288, -24518415/8388608]]]], [[9, 9, 3, 5, 3], [And(1 < v,v <
2^(1/2)), v < u, And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, 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], [5, 5], [-7/
16777216, -7/16777216]]]], [[9, 9, 3, 5, 4], [And(1 < v,v < 2^(1/2)), v < u, 
And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10006449/2097152
, -10006449/2097152], [5, 5], [3064801/1048576, 1532401/524288]]]], [[9, 9, 3,
5, 5], [And(1 < v,v < 2^(1/2)), v < u, And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1
< y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [5, 5], [4, 4]]]], [
[10, 5, 1, 4, 1], [v = 2^(1/2), And(-1 < u,u < 0), x < -1, y = -u^2-x+1, z = z
], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-2, -2],
[11/4, 11/4], [0, 0]]]], [[11, 8, 1, 3, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x
< -1, And(x-1 < y,y < -x+1), z = z], [regular_chain, [[3, 3], [2774271/1048576
, 10837/4096], [-2, -2], [0, 0], [0, 0]]]], [[11, 13, 1, 4, 1], [2^(1/2) < v,
v < 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], [4, 4], [-9, -9], [1, 1], [-4, -4]]]], [[11, 13, 1, 4,
2], [2^(1/2) < v, v < 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], [4, 4], [-9, -9], [1, 1], [-2965821/1048576, -\
11863283/4194304]]]], [[11, 13, 1, 4, 3], [2^(1/2) < v, v < 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], [4, 4], [-9, -9], [1, 1], [-3/8388608, -3/8388608]]]],
[[11, 13, 1, 4, 4], [2^(1/2) < v, v < 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], [4, 4], [-9, -9], [1, 1], [741455
/262144, 2965821/1048576]]]], [[11, 13, 1, 4, 5], [2^(1/2) < v, v < 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], [4
, 4], [-9, -9], [1, 1], [4, 4]]]], [[1, 1, 3, 1, 1], [v < -2^(1/2), 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], [-4, -4], [-9/2, -9/2], [-5, -5], [-4, -4]]]], [[1,
1, 3, 1, 2], [v < -2^(1/2), 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], [-4, -4], [-9/2, -9/2],
[-5, -5], [-2965821/1048576, -11863283/4194304]]]], [[1, 1, 3, 1, 3], [v < -2^
(1/2), 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], [-4, -4], [-9/2,
-9/2], [-5, -5], [-3/8388608, -3/8388608]]]], [[1, 1, 3, 1, 4], [v < -2^(1/2),
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], [-4, -4], [-9/2, -9/2], [-5, -5], [741455/262144, 
2965821/1048576]]]], [[1, 1, 3, 1, 5], [v < -2^(1/2), 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]
, [-4, -4], [-9/2, -9/2], [-5, -5], [4, 4]]]], [[1, 5, 7, 5, 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 = z],
[regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [2, 2], [3,
3], [0, 0]]]], [[2, 7, 2, 4, 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, 11, 7, 5, 1], [v = -2^(1/2), -v < u,
1 < x, u^2+x-1 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [2, 2], [11, 11], [-4, -4]]]], [[2, 11, 7, 5, 2], [v =
-2^(1/2), -v < u, 1 < x, u^2+x-1 < y, z = -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [2, 2], [11, 11], [-2965821/1048576,
-11863283/4194304]]]], [[2, 11, 7, 5, 3], [v = -2^(1/2), -v < u, 1 < x, u^2+x-\
1 < y, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [2, 2], [11, 11], [-3/8388608, -3/8388608]]]
], [[2, 11, 7, 5, 4], [v = -2^(1/2), -v < u, 1 < x, u^2+x-1 < y, z = (u^2-1)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [2, 2], [
11, 11], [741455/262144, 2965821/1048576]]]], [[2, 11, 7, 5, 5], [v = -2^(1/2)
, -v < u, 1 < x, u^2+x-1 < y, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [2, 2], [11, 11], [4, 4]]]], [[4, 2, 1, 1, 1
], [v = -1, u = -1, x < -1, y < x+1, z < -1], [regular_chain, [[-1, -1], [-1,
-1], [-2, -2], [-2, -2], [-2, -2]]]], [[4, 2, 1, 1, 2], [v = -1, u = -1, x < -\
1, y < x+1, z = -1], [regular_chain, [[-1, -1], [-1, -1], [-2, -2], [-2, -2],
[-1, -1]]]], [[4, 2, 1, 1, 3], [v = -1, u = -1, x < -1, y < x+1, And(-1 < z,z
< 1)], [regular_chain, [[-1, -1], [-1, -1], [-2, -2], [-2, -2], [0, 0]]]], [[4
, 2, 1, 1, 4], [v = -1, u = -1, x < -1, y < x+1, z = 1], [regular_chain, [[-1,
-1], [-1, -1], [-2, -2], [-2, -2], [1, 1]]]], [[4, 2, 1, 1, 5], [v = -1, u = -\
1, x < -1, y < x+1, 1 < z], [regular_chain, [[-1, -1], [-1, -1], [-2, -2], [-2
, -2], [2, 2]]]], [[4, 7, 1, 2, 1], [v = -1, 1 < u, x < -u^2, y = u^2+x, z < -
u], [regular_chain, [[-1, -1], [2, 2], [-5, -5], [-1, -1], [-3, -3]]]], [[4, 7
, 1, 2, 2], [v = -1, 1 < u, x < -u^2, y = u^2+x, z = -u], [regular_chain, [[-1
, -1], [2, 2], [-5, -5], [-1, -1], [-2, -2]]]], [[4, 7, 1, 2, 3], [v = -1, 1 <
u, x < -u^2, y = u^2+x, And(-u < z,z < u)], [regular_chain, [[-1, -1], [2, 2],
[-5, -5], [-1, -1], [0, 0]]]], [[4, 7, 1, 2, 4], [v = -1, 1 < u, x < -u^2, y =
u^2+x, z = u], [regular_chain, [[-1, -1], [2, 2], [-5, -5], [-1, -1], [2, 2]]]
], [[4, 7, 1, 2, 5], [v = -1, 1 < u, x < -u^2, y = u^2+x, u < z], [
regular_chain, [[-1, -1], [2, 2], [-5, -5], [-1, -1], [3, 3]]]], [[8, 1, 3, 3,
1], [v = 1, u < -1, And(-u^2 < x,x < -1), And(-u^2-x < y,y < u^2+x), z < u], [
regular_chain, [[1, 1], [-2, -2], [-5/2, -5/2], [0, 0], [-3, -3]]]], [[8, 1, 3
, 3, 2], [v = 1, u < -1, And(-u^2 < x,x < -1), And(-u^2-x < y,y < u^2+x), z =
u], [regular_chain, [[1, 1], [-2, -2], [-5/2, -5/2], [0, 0], [-2, -2]]]], [[8,
1, 3, 3, 3], [v = 1, u < -1, And(-u^2 < x,x < -1), And(-u^2-x < y,y < u^2+x),
And(u < z,z < -u)], [regular_chain, [[1, 1], [-2, -2], [-5/2, -5/2], [0, 0], [
0, 0]]]], [[8, 1, 3, 3, 4], [v = 1, u < -1, And(-u^2 < x,x < -1), And(-u^2-x <
y,y < u^2+x), z = -u], [regular_chain, [[1, 1], [-2, -2], [-5/2, -5/2], [0, 0]
, [2, 2]]]], [[8, 1, 3, 3, 5], [v = 1, u < -1, And(-u^2 < x,x < -1), And(-u^2-
x < y,y < u^2+x), -u < z], [regular_chain, [[1, 1], [-2, -2], [-5/2, -5/2], [0
, 0], [3, 3]]]], [[8, 6, 1, 2, 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, 2,
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, 2, 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, 2, 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, 2, 5
], [v = 1, u = 1, x < -1, y = x+1, 1 < z], [regular_chain, [[1, 1], [1, 1], [-\
2, -2], [-1, -1], [2, 2]]]], [[10, 9, 6, 5, 1], [v = 2^(1/2), And(1 < u,u < v)
, x = 1, u^2 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [3, 3], [-2, -2]
]]], [[10, 9, 6, 5, 2], [v = 2^(1/2), And(1 < u,u < v), x = 1, u^2 < y, z = -(
u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [1, 1], [3, 3], [-1417877/2097152, -354469/524288]]
]], [[10, 9, 6, 5, 3], [v = 2^(1/2), And(1 < u,u < v), x = 1, u^2 < y, 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], [3, 3], [0, 0]]]], [[10,
9, 6, 5, 4], [v = 2^(1/2), And(1 < u,u < v), x = 1, u^2 < y, z = (u^2-1)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [1, 1], [3, 3], [354469/524288, 708939/1048576]]]], [[10, 9,
6, 5, 5], [v = 2^(1/2), And(1 < u,u < v), x = 1, u^2 < y, (u^2-1)^(1/2) < z],
[regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [1, 1], [3, 3], [2, 2]]]], [[11, 3, 7, 1, 1], [2^(1/2) < v, And(-v <
u,u < -(v^2-1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2, 2], [-4, -4]
, [-2, -2]]]], [[11, 3, 7, 1, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2))
, 1 < x, y < -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [
-6111549/2097152, -6111549/2097152], [2, 2], [-4, -4], [-735979/1048576, -\
1471957/2097152]]]], [[11, 3, 7, 1, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^
(1/2)), 1 < x, y < -u^2+v^2-x-1, And(-(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],
[-4, -4], [-1/4194304, -1/4194304]]]], [[11, 3, 7, 1, 4], [2^(1/2) < v, And(-v
< u,u < -(v^2-1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2, 2], [-4, -4]
, [367989/524288, 735979/1048576]]]], [[11, 3, 7, 1, 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], [-4, -4]
, [2, 2]]]], [[1, 10, 7, 5, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), 1 < x, x < y
, z < 0], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [2, 2],
[3, 3], [-1, -1]]]], [[1, 10, 7, 5, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), 1 <
x, x < y, z = 0], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576],
[2, 2], [3, 3], [0, 0]]]], [[1, 10, 7, 5, 3], [v < -2^(1/2), u = (v^2-1)^(1/2)
, 1 < x, x < y, 0 < z], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [2, 2], [3, 3], [1, 1]]]], [[2, 3, 1, 1, 1], [v = -2^(1/2), And(v <
u,u < -1), x < -1, y < u^2+x-1, z < -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-2, -\
2], [-3, -3], [-2, -2]]]], [[2, 3, 1, 1, 2], [v = -2^(1/2), And(v < u,u < -1),
x < -1, y < u^2+x-1, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1265743/1048576, -1265743/1048576], [-2, -2], [-3, -3], [-\
1417877/2097152, -354469/524288]]]], [[2, 3, 1, 1, 3], [v = -2^(1/2), And(v <
u,u < -1), 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], [-2, -2], [-3, -3], [0, 0]]]], [[2, 3, 1, 1, 4], [v = -2^(1/
2), And(v < u,u < -1), x < -1, y < u^2+x-1, z = (u^2-1)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [
-2, -2], [-3, -3], [354469/524288, 708939/1048576]]]], [[2, 3, 1, 1, 5], [v =
-2^(1/2), And(v < u,u < -1), x < -1, y < u^2+x-1, (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [-3, -3], [2, 2]]]], [[3, 5, 6, 2, 1], [And(-2^(1/
2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y = -u^2+v^2
-2, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1,
1], [-1138531/2097152, -569265/1048576], [0, 0]]]], [[4, 1, 4, 3, 1], [v = -1,
u < -1, x = -1, And(-u^2+1 < y,y < u^2-1), z < u], [regular_chain, [[-1, -1],
[-2, -2], [-1, -1], [0, 0], [-3, -3]]]], [[4, 1, 4, 3, 2], [v = -1, u < -1, x
= -1, And(-u^2+1 < y,y < u^2-1), z = u], [regular_chain, [[-1, -1], [-2, -2],
[-1, -1], [0, 0], [-2, -2]]]], [[4, 1, 4, 3, 3], [v = -1, u < -1, x = -1, And(
-u^2+1 < y,y < u^2-1), And(u < z,z < -u)], [regular_chain, [[-1, -1], [-2, -2]
, [-1, -1], [0, 0], [0, 0]]]], [[4, 1, 4, 3, 4], [v = -1, u < -1, x = -1, And(
-u^2+1 < y,y < u^2-1), z = -u], [regular_chain, [[-1, -1], [-2, -2], [-1, -1],
[0, 0], [2, 2]]]], [[4, 1, 4, 3, 5], [v = -1, u < -1, x = -1, And(-u^2+1 < y,y
< u^2-1), -u < z], [regular_chain, [[-1, -1], [-2, -2], [-1, -1], [0, 0], [3,
3]]]], [[5, 5, 1, 2, 1], [And(-1 < v,v < 0), -v < 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], [2, 2], [-6, -\
6], [-5/4, -5/4], [-4, -4]]]], [[5, 5, 1, 2, 2], [And(-1 < v,v < 0), -v < 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], [2, 2], [-6, -6], [-5/4, -5/4], [-2285319/1048576, -1142659/524288]]]
], [[5, 5, 1, 2, 3], [And(-1 < v,v < 0), -v < 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], [2, 2], [-6, -6], [-5/4, -5/4], [0, 0]]]], [[5, 5, 1, 2, 4], [And(-1
< v,v < 0), -v < 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], [2, 2], [-6, -6], [-5/4, -5/4], [1142659/524288,
2285319/1048576]]]], [[5, 5, 1, 2, 5], [And(-1 < v,v < 0), -v < 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], [
2, 2], [-6, -6], [-5/4, -5/4], [4, 4]]]], [[7, 1, 6, 3, 1], [And(0 < v,v < 1),
u < -v, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-2, -2], [1, 1], [0, 0], [-4, -4]]]], [[7, 1, 6,
3, 2], [And(0 < v,v < 1), u < -v, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2], [1, 1], [0, 0],
[-2285319/1048576, -1142659/524288]]]], [[7, 1, 6, 3, 3], [And(0 < v,v < 1), u
< -v, x = 1, And(-u^2+v^2-2 < y,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], [-2, -2], [1, 1], [0, 0], [0
, 0]]]], [[7, 1, 6, 3, 4], [And(0 < v,v < 1), u < -v, x = 1, And(-u^2+v^2-2 <
y,y < u^2-v^2+2), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2
], [1, 1], [0, 0], [1142659/524288, 2285319/1048576]]]], [[7, 1, 6, 3, 5], [
And(0 < v,v < 1), u < -v, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), (u^2-v^2+1
)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-2, -2], [1, 1], [0, 0], [4, 4]]]]
, [[9, 4, 1, 4, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x < -1, y = -
x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [-2, -2], [2, 2], [-1, -1]]]], [[9, 4, 1, 4, 2], [
And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x < -1, y = -x, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-2, -2], [2, 2], [0, 0]]]], [[9, 4, 1, 4, 3], [And(1 < v,v < 2^(1/2
)), u = -(v^2-1)^(1/2), x < -1, y = -x, 0 < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-2, -2], [2, 2
], [1, 1]]]], [[9, 8, 4, 5, 1], [And(1 < v,v < 2^(1/2)), u = v, x = 1, 2 < y,
z < -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576
, 1265743/1048576], [1, 1], [3, 3], [-2, -2]]]], [[9, 8, 4, 5, 2], [And(1 < v,
v < 2^(1/2)), u = v, x = 1, 2 < y, z = -1], [regular_chain, [[1265743/1048576,
1265743/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [3, 3], [-1, -1]
]]], [[9, 8, 4, 5, 3], [And(1 < v,v < 2^(1/2)), u = v, x = 1, 2 < y, And(-1 <
z,z < 1)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [1, 1], [3, 3], [0, 0]]]], [[9, 8, 4, 5, 4], [And(1
< v,v < 2^(1/2)), u = v, x = 1, 2 < y, z = 1], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [3, 3],
[1, 1]]]], [[9, 8, 4, 5, 5], [And(1 < v,v < 2^(1/2)), u = v, x = 1, 2 < y, 1 <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 
1265743/1048576], [1, 1], [3, 3], [2, 2]]]], [[9, 9, 3, 4, 1], [And(1 < v,v <
2^(1/2)), v < 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, 9, 3, 4, 2], [And(1 < v,v < 2^(1/2)), v < 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,
9, 3, 4, 3], [And(1 < v,v < 2^(1/2)), v < 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
, 9, 3, 4, 4], [And(1 < v,v < 2^(1/2)), v < 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, 9, 3, 4,
5], [And(1 < v,v < 2^(1/2)), v < 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, 1, 3, 1], [v = 2^(1/2), And(-1 < u,u < 0), x < -\
1, And(u^2+x-1 < y,y < -u^2-x+1), z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [-2, -2], [0, 0], [0, 0]]]], [[11, 8, 1, 4, 1]
, [2^(1/2) < v, u = (v^2-2)^(1/2), x < -1, y = -x+1, z = z], [regular_chain, [
[3, 3], [2774271/1048576, 10837/4096], [-2, -2], [3, 3], [0, 0]]]], [[11, 13,
1, 5, 1], [2^(1/2) < v, v < u, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, z < -(u^2-v^2
+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [-9, -9], [2, 2], [-4, -4]]]], [[
11, 13, 1, 5, 2], [2^(1/2) < v, v < u, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, z = -
(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [-9, -9], [2, 2], [-\
2965821/1048576, -11863283/4194304]]]], [[11, 13, 1, 5, 3], [2^(1/2) < v, v <
u, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1
)^(1/2))], [regular_chain, [[3, 3], [4, 4], [-9, -9], [2, 2], [-3/8388608, -3/
8388608]]]], [[11, 13, 1, 5, 4], [2^(1/2) < v, v < u, x < -u^2+v^2-1, -u^2+v^2
-x-1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [-9, -9], [
2, 2], [741455/262144, 2965821/1048576]]]], [[11, 13, 1, 5, 5], [2^(1/2) < v,
v < u, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [4, 4], [-9, -9], [2, 2], [4, 4]]]], [[1, 1, 2, 3, 1],
[v < -2^(1/2), u < v, x = -u^2+v^2-1, 0 < y, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-4, -4], [-8, -8], [1, 1], [-4, -4]]]], [[1, 1, 2,
3, 2], [v < -2^(1/2), u < v, x = -u^2+v^2-1, 0 < y, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-4, -4], [-8, -8], [1, 1], [-2965821/1048576, -\
11863283/4194304]]]], [[1, 1, 2, 3, 3], [v < -2^(1/2), u < v, x = -u^2+v^2-1,
0 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-\
3, -3], [-4, -4], [-8, -8], [1, 1], [-3/8388608, -3/8388608]]]], [[1, 1, 2, 3,
4], [v < -2^(1/2), u < v, x = -u^2+v^2-1, 0 < y, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-4, -4], [-8, -8], [1, 1], [741455/262144, 2965821/
1048576]]]], [[1, 1, 2, 3, 5], [v < -2^(1/2), u < v, x = -u^2+v^2-1, 0 < y, (u
^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-4, -4], [-8, -8], [1, 1], [
4, 4]]]], [[1, 5, 7, 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]
]]], [[2, 7, 2, 5, 1], [v = -2^(1/2), And(0 < u,u < 1), x = -1, -u^2+2 < y, z
= z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-1, -1
], [3, 3], [0, 0]]]], [[3, 1, 1, 1, 1], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [-10, -10], [-3, -3], [-4, -4]]]
], [[3, 1, 1, 1, 2], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [-10, -10], [-3, -3], [-1532401/524288, -24518415/
8388608]]]], [[3, 1, 1, 1, 3], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [-10, -10], [-\
3, -3], [-7/16777216, -7/16777216]]]], [[3, 1, 1, 1, 4], [And(-2^(1/2) < v,v <
-1), 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], [-3, -3], [-10, -10], [-\
3, -3], [3064801/1048576, 1532401/524288]]]], [[3, 1, 1, 1, 5], [And(-2^(1/2)
< v,v < -1), 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], [-3, -3], [-10, -10], [-\
3, -3], [4, 4]]]], [[4, 1, 7, 5, 1], [v = -1, u < -1, 1 < x, u^2+x < y, z < u]
, [regular_chain, [[-1, -1], [-2, -2], [2, 2], [7, 7], [-3, -3]]]], [[4, 1, 7,
5, 2], [v = -1, u < -1, 1 < x, u^2+x < y, z = u], [regular_chain, [[-1, -1], [
-2, -2], [2, 2], [7, 7], [-2, -2]]]], [[4, 1, 7, 5, 3], [v = -1, u < -1, 1 < x
, u^2+x < y, And(u < z,z < -u)], [regular_chain, [[-1, -1], [-2, -2], [2, 2],
[7, 7], [0, 0]]]], [[4, 1, 7, 5, 4], [v = -1, u < -1, 1 < x, u^2+x < y, z = -u
], [regular_chain, [[-1, -1], [-2, -2], [2, 2], [7, 7], [2, 2]]]], [[4, 1, 7,
5, 5], [v = -1, u < -1, 1 < x, u^2+x < y, -u < z], [regular_chain, [[-1, -1],
[-2, -2], [2, 2], [7, 7], [3, 3]]]], [[4, 7, 1, 1, 1], [v = -1, 1 < u, x < -u^
2, y < u^2+x, z < -u], [regular_chain, [[-1, -1], [2, 2], [-5, -5], [-2, -2],
[-3, -3]]]], [[4, 7, 1, 1, 2], [v = -1, 1 < u, x < -u^2, y < u^2+x, z = -u], [
regular_chain, [[-1, -1], [2, 2], [-5, -5], [-2, -2], [-2, -2]]]], [[4, 7, 1,
1, 3], [v = -1, 1 < u, x < -u^2, y < u^2+x, And(-u < z,z < u)], [regular_chain
, [[-1, -1], [2, 2], [-5, -5], [-2, -2], [0, 0]]]], [[4, 7, 1, 1, 4], [v = -1,
1 < u, x < -u^2, y < u^2+x, z = u], [regular_chain, [[-1, -1], [2, 2], [-5, -5
], [-2, -2], [2, 2]]]], [[4, 7, 1, 1, 5], [v = -1, 1 < u, x < -u^2, y < u^2+x,
u < z], [regular_chain, [[-1, -1], [2, 2], [-5, -5], [-2, -2], [3, 3]]]], [[8,
1, 3, 4, 1], [v = 1, u < -1, And(-u^2 < x,x < -1), y = u^2+x, z < u], [
regular_chain, [[1, 1], [-2, -2], [-5/2, -5/2], [3/2, 3/2], [-3, -3]]]], [[8,
1, 3, 4, 2], [v = 1, u < -1, And(-u^2 < x,x < -1), y = u^2+x, z = u], [
regular_chain, [[1, 1], [-2, -2], [-5/2, -5/2], [3/2, 3/2], [-2, -2]]]], [[8,
1, 3, 4, 3], [v = 1, u < -1, And(-u^2 < x,x < -1), y = u^2+x, And(u < z,z < -u
)], [regular_chain, [[1, 1], [-2, -2], [-5/2, -5/2], [3/2, 3/2], [0, 0]]]], [[
8, 1, 3, 4, 4], [v = 1, u < -1, And(-u^2 < x,x < -1), y = u^2+x, z = -u], [
regular_chain, [[1, 1], [-2, -2], [-5/2, -5/2], [3/2, 3/2], [2, 2]]]], [[8, 1,
3, 4, 5], [v = 1, u < -1, And(-u^2 < x,x < -1), y = u^2+x, -u < z], [
regular_chain, [[1, 1], [-2, -2], [-5/2, -5/2], [3/2, 3/2], [3, 3]]]], [[8, 6,
1, 3, 1], [v = 1, u = 1, x < -1, And(x+1 < y,y < -1-x), z < -1], [
regular_chain, [[1, 1], [1, 1], [-2, -2], [0, 0], [-2, -2]]]], [[8, 6, 1, 3, 2
], [v = 1, u = 1, x < -1, And(x+1 < y,y < -1-x), z = -1], [regular_chain, [[1,
1], [1, 1], [-2, -2], [0, 0], [-1, -1]]]], [[8, 6, 1, 3, 3], [v = 1, u = 1, x
< -1, And(x+1 < y,y < -1-x), And(-1 < z,z < 1)], [regular_chain, [[1, 1], [1,
1], [-2, -2], [0, 0], [0, 0]]]], [[8, 6, 1, 3, 4], [v = 1, u = 1, x < -1, And(
x+1 < y,y < -1-x), z = 1], [regular_chain, [[1, 1], [1, 1], [-2, -2], [0, 0],
[1, 1]]]], [[8, 6, 1, 3, 5], [v = 1, u = 1, x < -1, And(x+1 < y,y < -1-x), 1 <
z], [regular_chain, [[1, 1], [1, 1], [-2, -2], [0, 0], [2, 2]]]], [[10, 9, 6,
4, 1], [v = 2^(1/2), And(1 < u,u < v), x = 1, y = u^2, z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [1, 1], [763943/524288, 1527887/1048576], [-2, -2]]]], [[10, 9, 6, 4
, 2], [v = 2^(1/2), And(1 < u,u < v), x = 1, y = u^2, z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [1, 1], [763943/524288, 1527887/1048576], [-1417877/2097152, -354469
/524288]]]], [[10, 9, 6, 4, 3], [v = 2^(1/2), And(1 < u,u < v), x = 1, y = u^2
, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [763943/524288,
1527887/1048576], [0, 0]]]], [[10, 9, 6, 4, 4], [v = 2^(1/2), And(1 < u,u < v)
, x = 1, y = u^2, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [763943/524288, 1527887
/1048576], [354469/524288, 708939/1048576]]]], [[10, 9, 6, 4, 5], [v = 2^(1/2)
, And(1 < u,u < v), x = 1, y = u^2, (u^2-1)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [
763943/524288, 1527887/1048576], [2, 2]]]], [[11, 3, 6, 5, 1], [2^(1/2) < v, 
And(-v < u,u < -(v^2-1)^(1/2)), x = 1, u^2-v^2+2 < y, z < -(u^2-v^2+1)^(1/2)],
[regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1, 1], [3, 3],
[-2, -2]]]], [[11, 3, 6, 5, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
x = 1, u^2-v^2+2 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [1, 1], [3, 3], [-735979/1048576, -1471957
/2097152]]]], [[11, 3, 6, 5, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
x = 1, u^2-v^2+2 < y, 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], [3, 3],
[-1/4194304, -1/4194304]]]], [[11, 3, 6, 5, 4], [2^(1/2) < v, And(-v < u,u < -
(v^2-1)^(1/2)), x = 1, u^2-v^2+2 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain,
[[3, 3], [-6111549/2097152, -6111549/2097152], [1, 1], [3, 3], [367989/524288,
735979/1048576]]]], [[11, 3, 6, 5, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(
1/2)), x = 1, u^2-v^2+2 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3],
[-6111549/2097152, -6111549/2097152], [1, 1], [3, 3], [2, 2]]]], [[1, 11, 1, 3
, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x < -1, And(u^2-v^2+x+1 <
y,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], [0, 0], [-2, -2]]]], [[1, 11, 1,
3, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x < -1, And(u^2-v^2+x+1 <
y,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], [0, 0], [-735979/1048576, -\
1471957/2097152]]]], [[1, 11, 1, 3, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), x < -1, And(u^2-v^2+x+1 < y,y < -u^2+v^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], [0, 0], [-1/4194304, -1/4194304]]]], [[1, 11, 1, 3
, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x < -1, And(u^2-v^2+x+1 <
y,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], [0, 0], [367989/524288, 735979/
1048576]]]], [[1, 11, 1, 3, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
x < -1, And(u^2-v^2+x+1 < y,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], [0, 0]
, [2, 2]]]], [[2, 2, 5, 5, 1], [v = -2^(1/2), u = v, 1 < x, x+1 < y, z < -1],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -\
741455/524288], [2, 2], [4, 4], [-2, -2]]]], [[2, 2, 5, 5, 2], [v = -2^(1/2),
u = v, 1 < x, x+1 < y, z = -1], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1482911/1048576, -741455/524288], [2, 2], [4, 4], [-1, -1]]]], [[2,
2, 5, 5, 3], [v = -2^(1/2), u = v, 1 < x, x+1 < y, And(-1 < z,z < 1)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [2, 2], [4, 4], [0, 0]]]], [[2, 2, 5, 5, 4], [v = -2^(1/2), u = v, 1
< x, x+1 < y, z = 1], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1482911/1048576, -741455/524288], [2, 2], [4, 4], [1, 1]]]], [[2, 2, 5, 5, 5],
[v = -2^(1/2), u = v, 1 < x, x+1 < y, 1 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1482911/1048576, -741455/524288], [2, 2], [4, 4],
[2, 2]]]], [[3, 5, 6, 3, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u
,u < (v^2-1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [0, 0],
[0, 0]]]], [[4, 1, 3, 5, 1], [v = -1, u < -1, And(-u^2 < x,x < -1), u^2+x < y,
z < u], [regular_chain, [[-1, -1], [-2, -2], [-5/2, -5/2], [3, 3], [-3, -3]]]]
, [[4, 1, 3, 5, 2], [v = -1, u < -1, And(-u^2 < x,x < -1), u^2+x < y, z = u],
[regular_chain, [[-1, -1], [-2, -2], [-5/2, -5/2], [3, 3], [-2, -2]]]], [[4, 1
, 3, 5, 3], [v = -1, u < -1, And(-u^2 < x,x < -1), u^2+x < y, And(u < z,z < -u
)], [regular_chain, [[-1, -1], [-2, -2], [-5/2, -5/2], [3, 3], [0, 0]]]], [[4,
1, 3, 5, 4], [v = -1, u < -1, And(-u^2 < x,x < -1), u^2+x < y, z = -u], [
regular_chain, [[-1, -1], [-2, -2], [-5/2, -5/2], [3, 3], [2, 2]]]], [[4, 1, 3
, 5, 5], [v = -1, u < -1, And(-u^2 < x,x < -1), u^2+x < y, -u < z], [
regular_chain, [[-1, -1], [-2, -2], [-5/2, -5/2], [3, 3], [3, 3]]]], [[5, 5, 1
, 5, 1], [And(-1 < v,v < 0), -v < u, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, z < -(u
^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [-6, -6], [3, 3], [-4
, -4]]]], [[5, 5, 1, 5, 2], [And(-1 < v,v < 0), -v < u, x < -u^2+v^2-1, -u^2+v
^2-x-1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [-\
6, -6], [3, 3], [-2285319/1048576, -1142659/524288]]]], [[5, 5, 1, 5, 3], [And
(-1 < v,v < 0), -v < u, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, And(-(u^2-v^2+1)^(1/
2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [2, 2], [-6, -6
], [3, 3], [0, 0]]]], [[5, 5, 1, 5, 4], [And(-1 < v,v < 0), -v < u, x < -u^2+v
^2-1, -u^2+v^2-x-1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[2, 2], [-6, -6], [3, 3], [1142659/524288, 2285319/1048576]]]], [[5, 5, 1, 5,
5], [And(-1 < v,v < 0), -v < u, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, (u^2-v^2+1)^
(1/2) < z], [regular_chain, [[-1/2, -1/2], [2, 2], [-6, -6], [3, 3], [4, 4]]]]
, [[7, 1, 6, 2, 1], [And(0 < v,v < 1), u < -v, x = 1, y = -u^2+v^2-2, z < -(u^
2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2], [1, 1], [-23/4, -23/4]
, [-4, -4]]]], [[7, 1, 6, 2, 2], [And(0 < v,v < 1), u < -v, x = 1, y = -u^2+v^
2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2], [1, 1], [
-23/4, -23/4], [-2285319/1048576, -1142659/524288]]]], [[7, 1, 6, 2, 3], [And(
0 < v,v < 1), 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], [-2, -2], [1, 1], [-23/4, -23/
4], [0, 0]]]], [[7, 1, 6, 2, 4], [And(0 < v,v < 1), u < -v, x = 1, y = -u^2+v^
2-2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2], [1, 1], [-\
23/4, -23/4], [1142659/524288, 2285319/1048576]]]], [[7, 1, 6, 2, 5], [And(0 <
v,v < 1), u < -v, x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-2, -2], [1, 1], [-23/4, -23/4], [4, 4]]]], [[9,
4, 1, 5, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x < -1, -x < y, z <
0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [-2, -2], [3, 3], [-1, -1]]]], [[9, 4, 1, 5, 2], [And(1 < v,v
< 2^(1/2)), u = -(v^2-1)^(1/2), x < -1, -x < y, z = 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-2, -2
], [3, 3], [0, 0]]]], [[9, 4, 1, 5, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^
(1/2), x < -1, -x < y, 0 < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [-2, -2], [3, 3], [1, 1]]]], [[9
, 8, 4, 2, 1], [And(1 < v,v < 2^(1/2)), u = v, x = 1, y = -2, z < -1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [1, 1], [-2, -2], [-2, -2]]]], [[9, 8, 4, 2, 2], [And(1 < v,v < 2^(1
/2)), u = v, x = 1, y = -2, z = -1], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-2, -2], [-1, -\
1]]]], [[9, 8, 4, 2, 3], [And(1 < v,v < 2^(1/2)), u = v, x = 1, y = -2, And(-1
< z,z < 1)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [1, 1], [-2, -2], [0, 0]]]], [[9, 8, 4, 2, 4], [And
(1 < v,v < 2^(1/2)), u = v, x = 1, y = -2, z = 1], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-2, -2
], [1, 1]]]], [[9, 8, 4, 2, 5], [And(1 < v,v < 2^(1/2)), u = v, x = 1, y = -2,
1 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576,
1265743/1048576], [1, 1], [-2, -2], [2, 2]]]], [[9, 9, 4, 2, 1], [And(1 < v,v
< 2^(1/2)), v < u, x = -1, y = -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1, -1], [-\
15818595/2097152, -7909297/1048576], [-4, -4]]]], [[9, 9, 4, 2, 2], [And(1 < v
,v < 2^(1/2)), v < u, x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1, -1], [-\
15818595/2097152, -7909297/1048576], [-1532401/524288, -24518415/8388608]]]],
[[9, 9, 4, 2, 3], [And(1 < v,v < 2^(1/2)), v < u, x = -1, y = -u^2+v^2, And(-(
u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-1, -1], [-15818595/2097152, -7909297/
1048576], [-7/16777216, -7/16777216]]]], [[9, 9, 4, 2, 4], [And(1 < v,v < 2^(1
/2)), v < u, x = -1, y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [-1, -1], [-15818595/2097152, -\
7909297/1048576], [3064801/1048576, 1532401/524288]]]], [[9, 9, 4, 2, 5], [And
(1 < v,v < 2^(1/2)), v < u, x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1, -1], [-\
15818595/2097152, -7909297/1048576], [4, 4]]]], [[10, 5, 1, 2, 1], [v = 2^(1/2
), And(-1 < u,u < 0), x < -1, y = u^2+x-1, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1/2, -1/2], [-2, -2], [-11/4, -11/4], [0, 0]]]], [
[11, 8, 1, 5, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x < -1, -x+1 < y, z = z], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-2, -2], [4, 4], [0, 0
]]]], [[11, 13, 1, 2, 1], [2^(1/2) < v, v < 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], [4, 4], [-9, -9], [-1, -1]
, [-4, -4]]]], [[11, 13, 1, 2, 2], [2^(1/2) < v, v < 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], [4, 4], [-9, -9],
[-1, -1], [-2965821/1048576, -11863283/4194304]]]], [[11, 13, 1, 2, 3], [2^(1/
2) < v, v < 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], [4, 4], [-9, -9], [-1, -1], [-3/
8388608, -3/8388608]]]], [[11, 13, 1, 2, 4], [2^(1/2) < v, v < 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], [4, 4],
[-9, -9], [-1, -1], [741455/262144, 2965821/1048576]]]], [[11, 13, 1, 2, 5], [
2^(1/2) < v, v < 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], [4, 4], [-9, -9], [-1, -1], [4, 4]]]], [[1, 1, 3, 3, 1
], [v < -2^(1/2), u < v, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y <
u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4], [-\
9/2, -9/2], [0, 0], [-4, -4]]]], [[1, 1, 3, 3, 2], [v < -2^(1/2), u < v, And(-
u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)
^(1/2)], [regular_chain, [[-3, -3], [-4, -4], [-9/2, -9/2], [0, 0], [-2965821/
1048576, -11863283/4194304]]]], [[1, 1, 3, 3, 3], [v < -2^(1/2), u < v, And(-u
^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), And(-(u^2-v^2+1)^
(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-4, -4], [-9/2,
-9/2], [0, 0], [-3/8388608, -3/8388608]]]], [[1, 1, 3, 3, 4], [v < -2^(1/2), u
< v, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u
^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4], [-9/2, -9/2], [0, 0], [
741455/262144, 2965821/1048576]]]], [[1, 1, 3, 3, 5], [v < -2^(1/2), u < v, 
And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)
^(1/2) < z], [regular_chain, [[-3, -3], [-4, -4], [-9/2, -9/2], [0, 0], [4, 4]
]]], [[1, 5, 7, 3, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2
)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = z], [regular_chain, [[-3
, -3], [-22960369/8388608, -22960369/8388608], [2, 2], [0, 0], [0, 0]]]], [[2,
7, 3, 1, 1], [v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,x < -u^2+1), y < u^2+
x-1, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2],
[-1/8, -1/8], [-2, -2], [0, 0]]]], [[2, 11, 7, 3, 1], [v = -2^(1/2), -v < u, 1
< x, And(-u^2-x+1 < y,y < u^2+x-1), z < -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [2, 2], [0, 0], [-4, -4]]]], [[2, 11
, 7, 3, 2], [v = -2^(1/2), -v < u, 1 < x, And(-u^2-x+1 < y,y < u^2+x-1), z = -
(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [
2, 2], [0, 0], [-2965821/1048576, -11863283/4194304]]]], [[2, 11, 7, 3, 3], [v
= -2^(1/2), -v < u, 1 < x, And(-u^2-x+1 < y,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], [2, 2], [0, 0], [-3/8388608, -3/8388608]]]], [[2, 11, 7, 3, 4], [v = -2^
(1/2), -v < u, 1 < x, And(-u^2-x+1 < y,y < u^2+x-1), z = (u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [2, 2], [0, 0], [
741455/262144, 2965821/1048576]]]], [[2, 11, 7, 3, 5], [v = -2^(1/2), -v < u,
1 < x, And(-u^2-x+1 < y,y < u^2+x-1), (u^2-1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [2, 2], [0, 0], [4, 4]]]], [[4, 2, 1
, 3, 1], [v = -1, u = -1, x < -1, And(x+1 < y,y < -1-x), z < -1], [
regular_chain, [[-1, -1], [-1, -1], [-2, -2], [0, 0], [-2, -2]]]], [[4, 2, 1,
3, 2], [v = -1, u = -1, x < -1, And(x+1 < y,y < -1-x), z = -1], [regular_chain
, [[-1, -1], [-1, -1], [-2, -2], [0, 0], [-1, -1]]]], [[4, 2, 1, 3, 3], [v = -\
1, u = -1, x < -1, And(x+1 < y,y < -1-x), And(-1 < z,z < 1)], [regular_chain,
[[-1, -1], [-1, -1], [-2, -2], [0, 0], [0, 0]]]], [[4, 2, 1, 3, 4], [v = -1, u
= -1, x < -1, And(x+1 < y,y < -1-x), z = 1], [regular_chain, [[-1, -1], [-1, -\
1], [-2, -2], [0, 0], [1, 1]]]], [[4, 2, 1, 3, 5], [v = -1, u = -1, x < -1, 
And(x+1 < y,y < -1-x), 1 < z], [regular_chain, [[-1, -1], [-1, -1], [-2, -2],
[0, 0], [2, 2]]]], [[4, 6, 5, 5, 1], [v = -1, u = 1, 1 < x, x+1 < y, z < -1],
[regular_chain, [[-1, -1], [1, 1], [2, 2], [4, 4], [-2, -2]]]], [[4, 6, 5, 5,
2], [v = -1, u = 1, 1 < x, x+1 < y, z = -1], [regular_chain, [[-1, -1], [1, 1]
, [2, 2], [4, 4], [-1, -1]]]], [[4, 6, 5, 5, 3], [v = -1, u = 1, 1 < x, x+1 <
y, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [1, 1], [2, 2], [4, 4], [0,
0]]]], [[4, 6, 5, 5, 4], [v = -1, u = 1, 1 < x, x+1 < y, z = 1], [
regular_chain, [[-1, -1], [1, 1], [2, 2], [4, 4], [1, 1]]]], [[4, 6, 5, 5, 5],
[v = -1, u = 1, 1 < x, x+1 < y, 1 < z], [regular_chain, [[-1, -1], [1, 1], [2,
2], [4, 4], [2, 2]]]], [[8, 1, 3, 5, 1], [v = 1, u < -1, And(-u^2 < x,x < -1),
u^2+x < y, z < u], [regular_chain, [[1, 1], [-2, -2], [-5/2, -5/2], [3, 3], [-\
3, -3]]]], [[8, 1, 3, 5, 2], [v = 1, u < -1, And(-u^2 < x,x < -1), u^2+x < y,
z = u], [regular_chain, [[1, 1], [-2, -2], [-5/2, -5/2], [3, 3], [-2, -2]]]],
[[8, 1, 3, 5, 3], [v = 1, u < -1, And(-u^2 < x,x < -1), u^2+x < y, And(u < z,z
< -u)], [regular_chain, [[1, 1], [-2, -2], [-5/2, -5/2], [3, 3], [0, 0]]]], [[
8, 1, 3, 5, 4], [v = 1, u < -1, And(-u^2 < x,x < -1), u^2+x < y, z = -u], [
regular_chain, [[1, 1], [-2, -2], [-5/2, -5/2], [3, 3], [2, 2]]]], [[8, 1, 3,
5, 5], [v = 1, u < -1, And(-u^2 < x,x < -1), u^2+x < y, -u < z], [
regular_chain, [[1, 1], [-2, -2], [-5/2, -5/2], [3, 3], [3, 3]]]], [[8, 5, 7,
5, 1], [v = 1, And(0 < u,u < 1), 1 < x, u^2+x < y, z < -u], [regular_chain, [[
1, 1], [1/2, 1/2], [2, 2], [4, 4], [-2, -2]]]], [[8, 5, 7, 5, 2], [v = 1, And(
0 < u,u < 1), 1 < x, u^2+x < y, z = -u], [regular_chain, [[1, 1], [1/2, 1/2],
[2, 2], [4, 4], [-1/2, -1/2]]]], [[8, 5, 7, 5, 3], [v = 1, And(0 < u,u < 1), 1
< x, u^2+x < y, And(-u < z,z < u)], [regular_chain, [[1, 1], [1/2, 1/2], [2, 2
], [4, 4], [0, 0]]]], [[8, 5, 7, 5, 4], [v = 1, And(0 < u,u < 1), 1 < x, u^2+x
< y, z = u], [regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [4, 4], [1/2, 1/2]]]
], [[8, 5, 7, 5, 5], [v = 1, And(0 < u,u < 1), 1 < x, u^2+x < y, u < z], [
regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [4, 4], [2, 2]]]], [[10, 9, 7, 2,
1], [v = 2^(1/2), And(1 < u,u < v), 1 < x, y = -u^2-x+1, z < -(u^2-1)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [2, 2], [-2576463/1048576, -1288231/524288], [-2, -2]]]], [[10, 9, 7
, 2, 2], [v = 2^(1/2), And(1 < u,u < v), 1 < x, y = -u^2-x+1, z = -(u^2-1)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [2, 2], [-2576463/1048576, -1288231/524288], [-1417877/
2097152, -354469/524288]]]], [[10, 9, 7, 2, 3], [v = 2^(1/2), And(1 < u,u < v)
, 1 < x, y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [2, 2], [-2576463/1048576, -1288231/524288], [0, 0]]]], [[10, 9, 7,
2, 4], [v = 2^(1/2), And(1 < u,u < v), 1 < x, y = -u^2-x+1, z = (u^2-1)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743
/1048576], [2, 2], [-2576463/1048576, -1288231/524288], [354469/524288, 708939
/1048576]]]], [[10, 9, 7, 2, 5], [v = 2^(1/2), And(1 < u,u < v), 1 < x, y = -u
^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[1265743/1048576, 1265743/1048576], [2, 2], [-2576463/1048576, -1288231/524288
], [2, 2]]]], [[11, 3, 6, 4, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
x = 1, y = u^2-v^2+2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [1, 1], [1565147/1048576, 391287/262144],
[-2, -2]]]], [[11, 3, 6, 4, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
x = 1, y = u^2-v^2+2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [1, 1], [1565147/1048576, 391287/262144],
[-735979/1048576, -1471957/2097152]]]], [[11, 3, 6, 4, 3], [2^(1/2) < v, And(-
v < u,u < -(v^2-1)^(1/2)), x = 1, y = u^2-v^2+2, And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [1, 1], [1565147/1048576, 391287/262144], [-1/4194304, -1/4194304]]]
], [[11, 3, 6, 4, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y =
u^2-v^2+2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152,
-6111549/2097152], [1, 1], [1565147/1048576, 391287/262144], [367989/524288, 
735979/1048576]]]], [[11, 3, 6, 4, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(
1/2)), x = 1, y = u^2-v^2+2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3],
[-6111549/2097152, -6111549/2097152], [1, 1], [1565147/1048576, 391287/262144]
, [2, 2]]]], [[1, 11, 1, 2, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
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], [-2, -2], [-3161161/2097152, -395145/262144
], [-2, -2]]]], [[1, 11, 1, 2, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v
), 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], [-2, -2], [-3161161/2097152, -395145/
262144], [-735979/1048576, -1471957/2097152]]]], [[1, 11, 1, 2, 3], [v < -2^(1
/2), And((v^2-1)^(1/2) < u,u < -v), 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], [-2, -2], [-3161161/2097152, -395145/262144], [-1/4194304,
-1/4194304]]]], [[1, 11, 1, 2, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v
), 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], [-2, -2], [-3161161/2097152, -395145/
262144], [367989/524288, 735979/1048576]]]], [[1, 11, 1, 2, 5], [v < -2^(1/2),
And((v^2-1)^(1/2) < u,u < -v), 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], [-2, -2], [-\
3161161/2097152, -395145/262144], [2, 2]]]], [[2, 2, 5, 4, 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,
2, 5, 4, 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, 2, 5, 4, 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, 2, 5, 4, 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, 2, 5, 4, 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]]]], [[3, 5, 6, 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]]]], [[4, 1, 4, 1, 1], [v = -1, u < -1, x = -1,
y < -u^2+1, z < u], [regular_chain, [[-1, -1], [-2, -2], [-1, -1], [-4, -4], [
-3, -3]]]], [[4, 1, 4, 1, 2], [v = -1, u < -1, x = -1, y < -u^2+1, z = u], [
regular_chain, [[-1, -1], [-2, -2], [-1, -1], [-4, -4], [-2, -2]]]], [[4, 1, 4
, 1, 3], [v = -1, u < -1, x = -1, y < -u^2+1, And(u < z,z < -u)], [
regular_chain, [[-1, -1], [-2, -2], [-1, -1], [-4, -4], [0, 0]]]], [[4, 1, 4,
1, 4], [v = -1, u < -1, x = -1, y < -u^2+1, z = -u], [regular_chain, [[-1, -1]
, [-2, -2], [-1, -1], [-4, -4], [2, 2]]]], [[4, 1, 4, 1, 5], [v = -1, u < -1,
x = -1, y < -u^2+1, -u < z], [regular_chain, [[-1, -1], [-2, -2], [-1, -1], [-\
4, -4], [3, 3]]]], [[5, 5, 1, 4, 1], [And(-1 < v,v < 0), -v < 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], [
2, 2], [-6, -6], [5/4, 5/4], [-4, -4]]]], [[5, 5, 1, 4, 2], [And(-1 < v,v < 0)
, -v < 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], [2, 2], [-6, -6], [5/4, 5/4], [-2285319/1048576,
-1142659/524288]]]], [[5, 5, 1, 4, 3], [And(-1 < v,v < 0), -v < 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], [2, 2], [-6, -6], [5/4, 5/4], [0, 0]]]], [[5, 5,
1, 4, 4], [And(-1 < v,v < 0), -v < 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], [2, 2], [-6, -6], [5/4, 5/4],
[1142659/524288, 2285319/1048576]]]], [[5, 5, 1, 4, 5], [And(-1 < v,v < 0), -v
< 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], [2, 2], [-6, -6], [5/4, 5/4], [4, 4]]]], [[7, 1, 6, 1, 1], [And
(0 < v,v < 1), u < -v, x = 1, y < -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-2, -2], [1, 1], [-7, -7], [-4, -4]]]], [[7, 1, 6
, 1, 2], [And(0 < v,v < 1), u < -v, x = 1, y < -u^2+v^2-2, z = -(u^2-v^2+1)^(1
/2)], [regular_chain, [[1/2, 1/2], [-2, -2], [1, 1], [-7, -7], [-2285319/
1048576, -1142659/524288]]]], [[7, 1, 6, 1, 3], [And(0 < v,v < 1), 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], [-2, -2], [1, 1], [-7, -7], [0, 0]]]], [[7, 1, 6,
1, 4], [And(0 < v,v < 1), u < -v, x = 1, y < -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)
], [regular_chain, [[1/2, 1/2], [-2, -2], [1, 1], [-7, -7], [1142659/524288, 
2285319/1048576]]]], [[7, 1, 6, 1, 5], [And(0 < v,v < 1), u < -v, x = 1, y < -
u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-2, -2], [1,
1], [-7, -7], [4, 4]]]], [[9, 4, 2, 1, 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], [-2, -2], [-1, -1]]]],
[[9, 4, 2, 1, 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], [-2, -2], [0, 0]]]], [[9, 4, 2, 1, 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
], [-2, -2], [1, 1]]]], [[9, 8, 4, 3, 1], [And(1 < v,v < 2^(1/2)), u = v, x =
1, And(-2 < y,y < 2), z < -1], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1265743/1048576, 1265743/1048576], [1, 1], [0, 0], [-2, -2]]]], [[9
, 8, 4, 3, 2], [And(1 < v,v < 2^(1/2)), u = v, x = 1, And(-2 < y,y < 2), z = -\
1], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 
1265743/1048576], [1, 1], [0, 0], [-1, -1]]]], [[9, 8, 4, 3, 3], [And(1 < v,v
< 2^(1/2)), u = v, x = 1, And(-2 < y,y < 2), And(-1 < z,z < 1)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [1, 1], [0, 0], [0, 0]]]], [[9, 8, 4, 3, 4], [And(1 < v,v < 2^(1/2))
, u = v, x = 1, And(-2 < y,y < 2), z = 1], [regular_chain, [[1265743/1048576,
1265743/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [0, 0], [1, 1]]]
], [[9, 8, 4, 3, 5], [And(1 < v,v < 2^(1/2)), u = v, x = 1, And(-2 < y,y < 2),
1 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576,
1265743/1048576], [1, 1], [0, 0], [2, 2]]]], [[9, 9, 4, 1, 1], [And(1 < v,v <
2^(1/2)), v < 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], [-9, -9], [-4, -4]]]]
, [[9, 9, 4, 1, 2], [And(1 < v,v < 2^(1/2)), v < 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], [-9, -9], [-1532401/524288, -24518415/8388608]]]], [[9, 9, 4, 1,
3], [And(1 < v,v < 2^(1/2)), v < 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], [-9, -9], [-7/16777216, -7/16777216]]]], [[9, 9, 4
, 1, 4], [And(1 < v,v < 2^(1/2)), v < 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]
, [-9, -9], [3064801/1048576, 1532401/524288]]]], [[9, 9, 4, 1, 5], [And(1 < v
,v < 2^(1/2)), v < 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], [-9, -9]
, [4, 4]]]], [[10, 5, 1, 1, 1], [v = 2^(1/2), And(-1 < u,u < 0), x < -1, y < u
^2+x-1, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2
], [-2, -2], [-4, -4], [0, 0]]]], [[11, 8, 2, 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, 13, 1, 3, 1], [2^(1/2) < v,
v < u, x < -u^2+v^2-1, And(u^2-v^2+x+1 < y,y < -u^2+v^2-x-1), z < -(u^2-v^2+1)
^(1/2)], [regular_chain, [[3, 3], [4, 4], [-9, -9], [0, 0], [-4, -4]]]], [[11,
13, 1, 3, 2], [2^(1/2) < v, v < u, x < -u^2+v^2-1, And(u^2-v^2+x+1 < y,y < -u^
2+v^2-x-1), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [-9, -9]
, [0, 0], [-2965821/1048576, -11863283/4194304]]]], [[11, 13, 1, 3, 3], [2^(1/
2) < v, v < u, x < -u^2+v^2-1, And(u^2-v^2+x+1 < y,y < -u^2+v^2-x-1), And(-(u^
2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [4, 4], [
-9, -9], [0, 0], [-3/8388608, -3/8388608]]]], [[11, 13, 1, 3, 4], [2^(1/2) < v
, v < u, x < -u^2+v^2-1, And(u^2-v^2+x+1 < y,y < -u^2+v^2-x-1), z = (u^2-v^2+1
)^(1/2)], [regular_chain, [[3, 3], [4, 4], [-9, -9], [0, 0], [741455/262144, 
2965821/1048576]]]], [[11, 13, 1, 3, 5], [2^(1/2) < v, v < u, x < -u^2+v^2-1,
And(u^2-v^2+x+1 < y,y < -u^2+v^2-x-1), (u^2-v^2+1)^(1/2) < z], [regular_chain,
[[3, 3], [4, 4], [-9, -9], [0, 0], [4, 4]]]], [[1, 1, 3, 2, 1], [v < -2^(1/2),
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], [-4, -4], [-9/2, -9/2], [-7/2, -7/2], [-4, -4]]]],
[[1, 1, 3, 2, 2], [v < -2^(1/2), 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], [-4, -4], [-9/2, -\
9/2], [-7/2, -7/2], [-2965821/1048576, -11863283/4194304]]]], [[1, 1, 3, 2, 3]
, [v < -2^(1/2), 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], [-4, -4
], [-9/2, -9/2], [-7/2, -7/2], [-3/8388608, -3/8388608]]]], [[1, 1, 3, 2, 4],
[v < -2^(1/2), 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], [-4, -4], [-9/2, -9/2], [-7/2, -7/2],
[741455/262144, 2965821/1048576]]]], [[1, 1, 3, 2, 5], [v < -2^(1/2), 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], [-4, -4], [-9/2, -9/2], [-7/2, -7/2], [4, 4]]]], [[1
, 5, 7, 2, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 <
x, y = -u^2+v^2-x-1, z = z], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [2, 2], [-1564117/1048576, -391029/262144], [0, 0]]]], [[2,
7, 3, 2, 1], [v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,x < -u^2+1), y = u^2+
x-1, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2],
[-1/8, -1/8], [-7/8, -7/8], [0, 0]]]], [[2, 11, 7, 4, 1], [v = -2^(1/2), -v <
u, 1 < x, y = u^2+x-1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [3, 3], [2, 2], [10, 10], [-4, -4]]]], [[2, 11, 7, 4, 2], [
v = -2^(1/2), -v < u, 1 < x, y = u^2+x-1, z = -(u^2-1)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [3, 3], [2, 2], [10, 10], [-2965821/
1048576, -11863283/4194304]]]], [[2, 11, 7, 4, 3], [v = -2^(1/2), -v < u, 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], [3, 3], [2, 2], [10, 10], [-3/8388608, -3/
8388608]]]], [[2, 11, 7, 4, 4], [v = -2^(1/2), -v < u, 1 < x, y = u^2+x-1, z =
(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [
2, 2], [10, 10], [741455/262144, 2965821/1048576]]]], [[2, 11, 7, 4, 5], [v =
-2^(1/2), -v < u, 1 < x, y = u^2+x-1, (u^2-1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [2, 2], [10, 10], [4, 4]]]], [[4, 2,
1, 2, 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, 2, 1, 2, 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, 2, 1, 2, 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, 2, 1, 2, 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, 2, 1, 2, 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, 6, 5, 4, 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, 5,
4, 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, 5, 4, 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, 5, 4, 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, 5, 4, 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, 1, 4, 1, 1], [v = 1, u < -1, x = -1, y < -u^2+1, z
< u], [regular_chain, [[1, 1], [-2, -2], [-1, -1], [-4, -4], [-3, -3]]]], [[8,
1, 4, 1, 2], [v = 1, u < -1, x = -1, y < -u^2+1, z = u], [regular_chain, [[1,
1], [-2, -2], [-1, -1], [-4, -4], [-2, -2]]]], [[8, 1, 4, 1, 3], [v = 1, u < -\
1, x = -1, y < -u^2+1, And(u < z,z < -u)], [regular_chain, [[1, 1], [-2, -2],
[-1, -1], [-4, -4], [0, 0]]]], [[8, 1, 4, 1, 4], [v = 1, u < -1, x = -1, y < -
u^2+1, z = -u], [regular_chain, [[1, 1], [-2, -2], [-1, -1], [-4, -4], [2, 2]]
]], [[8, 1, 4, 1, 5], [v = 1, u < -1, x = -1, y < -u^2+1, -u < z], [
regular_chain, [[1, 1], [-2, -2], [-1, -1], [-4, -4], [3, 3]]]], [[8, 6, 1, 1,
1], [v = 1, u = 1, x < -1, y < x+1, z < -1], [regular_chain, [[1, 1], [1, 1],
[-2, -2], [-2, -2], [-2, -2]]]], [[8, 6, 1, 1, 2], [v = 1, u = 1, x < -1, y <
x+1, z = -1], [regular_chain, [[1, 1], [1, 1], [-2, -2], [-2, -2], [-1, -1]]]]
, [[8, 6, 1, 1, 3], [v = 1, u = 1, x < -1, y < x+1, And(-1 < z,z < 1)], [
regular_chain, [[1, 1], [1, 1], [-2, -2], [-2, -2], [0, 0]]]], [[8, 6, 1, 1, 4
], [v = 1, u = 1, x < -1, y < x+1, z = 1], [regular_chain, [[1, 1], [1, 1], [-\
2, -2], [-2, -2], [1, 1]]]], [[8, 6, 1, 1, 5], [v = 1, u = 1, x < -1, y < x+1,
1 < z], [regular_chain, [[1, 1], [1, 1], [-2, -2], [-2, -2], [2, 2]]]], [[10,
9, 7, 1, 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], [-4, -4], [-2, -2]]]], [[10, 9, 7, 1, 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
], [-4, -4], [-1417877/2097152, -354469/524288]]]], [[10, 9, 7, 1, 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], [-4, -4], [0, 0]]]], [[10, 9, 7, 1, 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], [-4, -4], [354469/524288, 708939/1048576]]]], [[10, 9, 7, 1,
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], [-4, -4], [2, 2]]]], [[11, 3, 6, 3, 1], [2^(1/2) < v, And(-v
< u,u < -(v^2-1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z < -(u^2-v
^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [
1, 1], [0, 0], [-2, -2]]]], [[11, 3, 6, 3, 2], [2^(1/2) < v, And(-v < u,u < -(
v^2-1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z = -(u^2-v^2+1)^(1/2
)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1, 1], [0,
0], [-735979/1048576, -1471957/2097152]]]], [[11, 3, 6, 3, 3], [2^(1/2) < v, 
And(-v < u,u < -(v^2-1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), And(
-(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], [0, 0], [-1/4194304, -1/4194304]]]
], [[11, 3, 6, 3, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 1, And
(-u^2+v^2-2 < y,y < u^2-v^2+2), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3
], [-6111549/2097152, -6111549/2097152], [1, 1], [0, 0], [367989/524288, 
735979/1048576]]]], [[11, 3, 6, 3, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(
1/2)), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1, 1], [0, 0],
[2, 2]]]], [[1, 1, 3, 5, 1], [v < -2^(1/2), u < v, And(-u^2+v^2-1 < x,x < -1),
u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4],
[-9/2, -9/2], [5, 5], [-4, -4]]]], [[1, 1, 3, 5, 2], [v < -2^(1/2), u < v, And
(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-4, -4], [-9/2, -9/2], [5, 5], [-2965821/1048576, -\
11863283/4194304]]]], [[1, 1, 3, 5, 3], [v < -2^(1/2), u < v, And(-u^2+v^2-1 <
x,x < -1), u^2-v^2+x+1 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))]
, [regular_chain, [[-3, -3], [-4, -4], [-9/2, -9/2], [5, 5], [-3/8388608, -3/
8388608]]]], [[1, 1, 3, 5, 4], [v < -2^(1/2), u < v, And(-u^2+v^2-1 < x,x < -1
), u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4
], [-9/2, -9/2], [5, 5], [741455/262144, 2965821/1048576]]]], [[1, 1, 3, 5, 5]
, [v < -2^(1/2), u < v, And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, (u^2-v^2+
1)^(1/2) < z], [regular_chain, [[-3, -3], [-4, -4], [-9/2, -9/2], [5, 5], [4,
4]]]], [[1, 6, 1, 4, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x < -1, y = -x+1,
z = z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-2,
-2], [3, 3], [0, 0]]]], [[2, 7, 3, 3, 1], [v = -2^(1/2), And(0 < u,u < 1), And
(-1 < x,x < -u^2+1), And(u^2+x-1 < y,y < -u^2-x+1), z = z], [regular_chain, [[
-1482911/1048576, -741455/524288], [1/2, 1/2], [-1/8, -1/8], [0, 0], [0, 0]]]]
, [[3, 1, 1, 4, 1], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [-10, -10], [763943/524288, 1527887/1048576], [-4,
-4]]]], [[3, 1, 1, 4, 2], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [-10, -10], [763943/524288, 1527887/1048576], [-\
1532401/524288, -24518415/8388608]]]], [[3, 1, 1, 4, 3], [And(-2^(1/2) < v,v <
-1), u < v, x < -u^2+v^2-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (
u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3
, -3], [-10, -10], [763943/524288, 1527887/1048576], [-7/16777216, -7/16777216
]]]], [[3, 1, 1, 4, 4], [And(-2^(1/2) < v,v < -1), u < v, x < -u^2+v^2-1, y =
-u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [-10, -10], [763943/524288, 1527887/1048576], [
3064801/1048576, 1532401/524288]]]], [[3, 1, 1, 4, 5], [And(-2^(1/2) < v,v < -\
1), u < v, x < -u^2+v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-10, -10], [
763943/524288, 1527887/1048576], [4, 4]]]], [[4, 2, 1, 5, 1], [v = -1, u = -1,
x < -1, -1-x < y, z < -1], [regular_chain, [[-1, -1], [-1, -1], [-2, -2], [2,
2], [-2, -2]]]], [[4, 2, 1, 5, 2], [v = -1, u = -1, x < -1, -1-x < y, z = -1],
[regular_chain, [[-1, -1], [-1, -1], [-2, -2], [2, 2], [-1, -1]]]], [[4, 2, 1,
5, 3], [v = -1, u = -1, x < -1, -1-x < y, And(-1 < z,z < 1)], [regular_chain,
[[-1, -1], [-1, -1], [-2, -2], [2, 2], [0, 0]]]], [[4, 2, 1, 5, 4], [v = -1, u
= -1, x < -1, -1-x < y, z = 1], [regular_chain, [[-1, -1], [-1, -1], [-2, -2],
[2, 2], [1, 1]]]], [[4, 2, 1, 5, 5], [v = -1, u = -1, x < -1, -1-x < y, 1 < z]
, [regular_chain, [[-1, -1], [-1, -1], [-2, -2], [2, 2], [2, 2]]]], [[4, 7, 2,
1, 1], [v = -1, 1 < u, x = -u^2, y < 0, z < -u], [regular_chain, [[-1, -1], [2
, 2], [-4, -4], [-1, -1], [-3, -3]]]], [[4, 7, 2, 1, 2], [v = -1, 1 < u, x = -
u^2, y < 0, z = -u], [regular_chain, [[-1, -1], [2, 2], [-4, -4], [-1, -1], [-\
2, -2]]]], [[4, 7, 2, 1, 3], [v = -1, 1 < u, x = -u^2, y < 0, And(-u < z,z < u
)], [regular_chain, [[-1, -1], [2, 2], [-4, -4], [-1, -1], [0, 0]]]], [[4, 7,
2, 1, 4], [v = -1, 1 < u, x = -u^2, y < 0, z = u], [regular_chain, [[-1, -1],
[2, 2], [-4, -4], [-1, -1], [2, 2]]]], [[4, 7, 2, 1, 5], [v = -1, 1 < u, x = -
u^2, y < 0, u < z], [regular_chain, [[-1, -1], [2, 2], [-4, -4], [-1, -1], [3,
3]]]], [[8, 1, 4, 2, 1], [v = 1, u < -1, x = -1, y = -u^2+1, z < u], [
regular_chain, [[1, 1], [-2, -2], [-1, -1], [-3, -3], [-3, -3]]]], [[8, 1, 4,
2, 2], [v = 1, u < -1, x = -1, y = -u^2+1, z = u], [regular_chain, [[1, 1], [-\
2, -2], [-1, -1], [-3, -3], [-2, -2]]]], [[8, 1, 4, 2, 3], [v = 1, u < -1, x =
-1, y = -u^2+1, And(u < z,z < -u)], [regular_chain, [[1, 1], [-2, -2], [-1, -1
], [-3, -3], [0, 0]]]], [[8, 1, 4, 2, 4], [v = 1, u < -1, x = -1, y = -u^2+1,
z = -u], [regular_chain, [[1, 1], [-2, -2], [-1, -1], [-3, -3], [2, 2]]]], [[8
, 1, 4, 2, 5], [v = 1, u < -1, x = -1, y = -u^2+1, -u < z], [regular_chain, [[
1, 1], [-2, -2], [-1, -1], [-3, -3], [3, 3]]]], [[8, 6, 2, 1, 1], [v = 1, u =
1, x = -1, y < 0, z < -1], [regular_chain, [[1, 1], [1, 1], [-1, -1], [-1, -1]
, [-2, -2]]]], [[8, 6, 2, 1, 2], [v = 1, u = 1, x = -1, y < 0, z = -1], [
regular_chain, [[1, 1], [1, 1], [-1, -1], [-1, -1], [-1, -1]]]], [[8, 6, 2, 1,
3], [v = 1, u = 1, x = -1, y < 0, And(-1 < z,z < 1)], [regular_chain, [[1, 1],
[1, 1], [-1, -1], [-1, -1], [0, 0]]]], [[8, 6, 2, 1, 4], [v = 1, u = 1, x = -1
, y < 0, z = 1], [regular_chain, [[1, 1], [1, 1], [-1, -1], [-1, -1], [1, 1]]]
], [[8, 6, 2, 1, 5], [v = 1, u = 1, x = -1, y < 0, 1 < z], [regular_chain, [[1
, 1], [1, 1], [-1, -1], [-1, -1], [2, 2]]]], [[10, 9, 6, 1, 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], [
-3, -3], [-2, -2]]]], [[10, 9, 6, 1, 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], [-3, -3], [-1417877/
2097152, -354469/524288]]]], [[10, 9, 6, 1, 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],
[-3, -3], [0, 0]]]], [[10, 9, 6, 1, 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], [-3, -3], [354469/524288, 
708939/1048576]]]], [[10, 9, 6, 1, 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], [-3, -3], [2, 2]]]], [[11, 3, 6
, 2, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [1, 1], [-391287/262144, -1565147/1048576], [-2, -2]]]], [[11, 3, 6,
2, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [1, 1], [-391287/262144, -1565147/1048576], [-735979/1048576, -\
1471957/2097152]]]], [[11, 3, 6, 2, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^
(1/2)), x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2
))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1, 1], [-\
391287/262144, -1565147/1048576], [-1/4194304, -1/4194304]]]], [[11, 3, 6, 2,
4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, z = (
u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [1, 1], [-391287/262144, -1565147/1048576], [367989/524288, 735979/
1048576]]]], [[11, 3, 6, 2, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [1, 1], [-391287/262144, -1565147/1048576]
, [2, 2]]]], [[1, 10, 7, 2, 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, 10, 7, 2, 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, 10, 7, 2, 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]]]], [[2, 2, 5, 3, 1], [v = -2^(1/
2), u = v, 1 < x, And(-1-x < y,y < x+1), z < -1], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1482911/1048576, -741455/524288], [2, 2], [0, 0],
[-2, -2]]]], [[2, 2, 5, 3, 2], [v = -2^(1/2), u = v, 1 < x, And(-1-x < y,y < x
+1), z = -1], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [2, 2], [0, 0], [-1, -1]]]], [[2, 2, 5, 3, 3], [v =
-2^(1/2), u = v, 1 < x, And(-1-x < y,y < x+1), And(-1 < z,z < 1)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [2, 2], [0, 0], [0, 0]]]], [[2, 2, 5, 3, 4], [v = -2^(1/2), u = v, 1
< x, And(-1-x < y,y < x+1), z = 1], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1482911/1048576, -741455/524288], [2, 2], [0, 0], [1, 1]]]],
[[2, 2, 5, 3, 5], [v = -2^(1/2), u = v, 1 < x, And(-1-x < y,y < x+1), 1 < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -\
741455/524288], [2, 2], [0, 0], [2, 2]]]], [[3, 5, 5, 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], [1527887/2097152, 1527887/2097152], [-284633/1048576, -35579
/131072], [0, 0]]]], [[4, 1, 3, 3, 1], [v = -1, u < -1, And(-u^2 < x,x < -1),
And(-u^2-x < y,y < u^2+x), z < u], [regular_chain, [[-1, -1], [-2, -2], [-5/2,
-5/2], [0, 0], [-3, -3]]]], [[4, 1, 3, 3, 2], [v = -1, u < -1, And(-u^2 < x,x
< -1), And(-u^2-x < y,y < u^2+x), z = u], [regular_chain, [[-1, -1], [-2, -2],
[-5/2, -5/2], [0, 0], [-2, -2]]]], [[4, 1, 3, 3, 3], [v = -1, u < -1, And(-u^2
< x,x < -1), And(-u^2-x < y,y < u^2+x), And(u < z,z < -u)], [regular_chain, [[
-1, -1], [-2, -2], [-5/2, -5/2], [0, 0], [0, 0]]]], [[4, 1, 3, 3, 4], [v = -1,
u < -1, And(-u^2 < x,x < -1), And(-u^2-x < y,y < u^2+x), z = -u], [
regular_chain, [[-1, -1], [-2, -2], [-5/2, -5/2], [0, 0], [2, 2]]]], [[4, 1, 3
, 3, 5], [v = -1, u < -1, And(-u^2 < x,x < -1), And(-u^2-x < y,y < u^2+x), -u
< z], [regular_chain, [[-1, -1], [-2, -2], [-5/2, -5/2], [0, 0], [3, 3]]]], [[
5, 4, 5, 4, 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, 4,
5, 4, 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, 4, 5, 4, 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, 4, 5, 4, 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, 4, 5, 4, 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]]]], [[7, 1, 5, 5, 1], [And(0 < v,v < 1), u < -v, And(-1 < x,x <
1), u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2
, -2], [0, 0], [6, 6], [-4, -4]]]], [[7, 1, 5, 5, 2], [And(0 < v,v < 1), u < -
v, And(-1 < x,x < 1), u^2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain
, [[1/2, 1/2], [-2, -2], [0, 0], [6, 6], [-2285319/1048576, -1142659/524288]]]
], [[7, 1, 5, 5, 3], [And(0 < v,v < 1), u < -v, And(-1 < x,x < 1), u^2-v^2+x+1
< y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2
, 1/2], [-2, -2], [0, 0], [6, 6], [0, 0]]]], [[7, 1, 5, 5, 4], [And(0 < v,v <
1), u < -v, And(-1 < x,x < 1), u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-2, -2], [0, 0], [6, 6], [1142659/524288, 2285319
/1048576]]]], [[7, 1, 5, 5, 5], [And(0 < v,v < 1), u < -v, And(-1 < x,x < 1),
u^2-v^2+x+1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-2, -2]
, [0, 0], [6, 6], [4, 4]]]], [[9, 3, 7, 4, 1], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [1273761/524288, 2547523/1048576], [-2, -2]]]], [[9,
3, 7, 4, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y
= u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [1273761/
524288, 2547523/1048576], [-1374407/2097152, -687203/1048576]]]], [[9, 3, 7, 4
, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-
v^2+x+1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [2,
2], [1273761/524288, 2547523/1048576], [0, 0]]]], [[9, 3, 7, 4, 4], [And(1 < v
,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-v^2+x+1, z = (u^
2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [2, 2], [1273761/524288, 2547523/1048576],
[687203/1048576, 171801/262144]]]], [[9, 3, 7, 4, 5], [And(1 < v,v < 2^(1/2)),
And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [1273761/524288, 2547523/1048576], [2, 2]]]], [[9, 8
, 3, 5, 1], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 1), x+1 < y, z < -1
], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 
1265743/1048576], [0, 0], [2, 2], [-2, -2]]]], [[9, 8, 3, 5, 2], [And(1 < v,v
< 2^(1/2)), u = v, And(-1 < x,x < 1), x+1 < y, z = -1], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0],
[2, 2], [-1, -1]]]], [[9, 8, 3, 5, 3], [And(1 < v,v < 2^(1/2)), u = v, And(-1
< x,x < 1), x+1 < y, And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [2, 2], [0, 0]]]
], [[9, 8, 3, 5, 4], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 1), x+1 <
y, z = 1], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [0, 0], [2, 2], [1, 1]]]], [[9, 8, 3, 5, 5], [And(1
< v,v < 2^(1/2)), u = v, And(-1 < x,x < 1), x+1 < y, 1 < z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0]
, [2, 2], [2, 2]]]], [[9, 9, 4, 4, 1], [And(1 < v,v < 2^(1/2)), v < 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, 9, 4, 4, 2], [And(1 < v,v < 2^(1/2)), v < 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, 9, 4, 4, 3], [And(1 < v,v < 2^(1/2)), v < 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, 9, 4, 4, 4], [And(1 < v,v < 2^(1
/2)), v < 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, 9, 4, 4, 5], [And(1 < v,v
< 2^(1/2)), v < 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, 2, 3, 1], [v = 2^(1/2), And(-1 < u,u < 0)
, x = -1, And(u^2-2 < y,y < -u^2+2), z = z], [regular_chain, [[741455/524288,
1482911/1048576], [-1/2, -1/2], [-1, -1], [0, 0], [0, 0]]]], [[11, 8, 2, 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, 13,
2, 3, 1], [2^(1/2) < v, v < u, x = -u^2+v^2-1, 0 < y, z < -(u^2-v^2+1)^(1/2)],
[regular_chain, [[3, 3], [4, 4], [-8, -8], [1, 1], [-4, -4]]]], [[11, 13, 2, 3
, 2], [2^(1/2) < v, v < u, x = -u^2+v^2-1, 0 < y, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [4, 4], [-8, -8], [1, 1], [-2965821/1048576, -11863283
/4194304]]]], [[11, 13, 2, 3, 3], [2^(1/2) < v, v < u, x = -u^2+v^2-1, 0 < y,
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [
4, 4], [-8, -8], [1, 1], [-3/8388608, -3/8388608]]]], [[11, 13, 2, 3, 4], [2^(
1/2) < v, v < u, x = -u^2+v^2-1, 0 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain
, [[3, 3], [4, 4], [-8, -8], [1, 1], [741455/262144, 2965821/1048576]]]], [[11
, 13, 2, 3, 5], [2^(1/2) < v, v < u, x = -u^2+v^2-1, 0 < y, (u^2-v^2+1)^(1/2)
< z], [regular_chain, [[3, 3], [4, 4], [-8, -8], [1, 1], [4, 4]]]], [[1, 1, 3,
4, 1], [v < -2^(1/2), 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], [-4, -4], [-9/2, -9/2], [7/2,
7/2], [-4, -4]]]], [[1, 1, 3, 4, 2], [v < -2^(1/2), 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],
[-4, -4], [-9/2, -9/2], [7/2, 7/2], [-2965821/1048576, -11863283/4194304]]]],
[[1, 1, 3, 4, 3], [v < -2^(1/2), 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], [-4, -4], [-9/2, -9/2], [7/2, 7/2], [-3/8388608, -3/8388608]]]], [[1,
1, 3, 4, 4], [v < -2^(1/2), 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], [-4, -4], [-9/2, -9/2], [
7/2, 7/2], [741455/262144, 2965821/1048576]]]], [[1, 1, 3, 4, 5], [v < -2^(1/2
), 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], [-4, -4], [-9/2, -9/2], [7/2, 7/2], [4, 4]]]], [[1,
6, 1, 3, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x < -1, And(x-1 < y,y < -x+1),
z = z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-2,
-2], [0, 0], [0, 0]]]], [[2, 7, 3, 4, 1], [v = -2^(1/2), And(0 < u,u < 1), And
(-1 < x,x < -u^2+1), y = -u^2-x+1, z = z], [regular_chain, [[-1482911/1048576,
-741455/524288], [1/2, 1/2], [-1/8, -1/8], [7/8, 7/8], [0, 0]]]], [[3, 1, 1, 5
, 1], [And(-2^(1/2) < v,v < -1), u < v, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3, -3], [-10, -10], [3, 3], [-4, -4]]]], [[3, 1, 1, 5, 2], [And(-2^(1/2) < v,v
< -1), u < v, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-10, -10], [3
, 3], [-1532401/524288, -24518415/8388608]]]], [[3, 1, 1, 5, 3], [And(-2^(1/2)
< v,v < -1), u < v, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, 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], [3, 3], [-7/16777216, -7/16777216]]]], [[3, 1,
1, 5, 4], [And(-2^(1/2) < v,v < -1), u < v, x < -u^2+v^2-1, -u^2+v^2-x-1 < y,
z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-3, -3], [-10, -10], [3, 3], [3064801/1048576, 1532401/524288]]]], [[3, 1, 1,
5, 5], [And(-2^(1/2) < v,v < -1), u < v, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, (u^
2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3, -3], [-10, -10], [3, 3], [4, 4]]]], [[4, 2, 1, 4, 1], [v = -1, u = -1, x <
-1, y = -1-x, z < -1], [regular_chain, [[-1, -1], [-1, -1], [-2, -2], [1, 1],
[-2, -2]]]], [[4, 2, 1, 4, 2], [v = -1, u = -1, x < -1, y = -1-x, z = -1], [
regular_chain, [[-1, -1], [-1, -1], [-2, -2], [1, 1], [-1, -1]]]], [[4, 2, 1,
4, 3], [v = -1, u = -1, x < -1, y = -1-x, And(-1 < z,z < 1)], [regular_chain,
[[-1, -1], [-1, -1], [-2, -2], [1, 1], [0, 0]]]], [[4, 2, 1, 4, 4], [v = -1, u
= -1, x < -1, y = -1-x, z = 1], [regular_chain, [[-1, -1], [-1, -1], [-2, -2],
[1, 1], [1, 1]]]], [[4, 2, 1, 4, 5], [v = -1, u = -1, x < -1, y = -1-x, 1 < z]
, [regular_chain, [[-1, -1], [-1, -1], [-2, -2], [1, 1], [2, 2]]]], [[4, 7, 1,
5, 1], [v = -1, 1 < u, x < -u^2, -u^2-x < y, z < -u], [regular_chain, [[-1, -1
], [2, 2], [-5, -5], [2, 2], [-3, -3]]]], [[4, 7, 1, 5, 2], [v = -1, 1 < u, x
< -u^2, -u^2-x < y, z = -u], [regular_chain, [[-1, -1], [2, 2], [-5, -5], [2,
2], [-2, -2]]]], [[4, 7, 1, 5, 3], [v = -1, 1 < u, x < -u^2, -u^2-x < y, And(-
u < z,z < u)], [regular_chain, [[-1, -1], [2, 2], [-5, -5], [2, 2], [0, 0]]]],
[[4, 7, 1, 5, 4], [v = -1, 1 < u, x < -u^2, -u^2-x < y, z = u], [regular_chain
, [[-1, -1], [2, 2], [-5, -5], [2, 2], [2, 2]]]], [[4, 7, 1, 5, 5], [v = -1, 1
< u, x < -u^2, -u^2-x < y, u < z], [regular_chain, [[-1, -1], [2, 2], [-5, -5]
, [2, 2], [3, 3]]]], [[8, 1, 4, 3, 1], [v = 1, u < -1, x = -1, And(-u^2+1 < y,
y < u^2-1), z < u], [regular_chain, [[1, 1], [-2, -2], [-1, -1], [0, 0], [-3,
-3]]]], [[8, 1, 4, 3, 2], [v = 1, u < -1, x = -1, And(-u^2+1 < y,y < u^2-1), z
= u], [regular_chain, [[1, 1], [-2, -2], [-1, -1], [0, 0], [-2, -2]]]], [[8, 1
, 4, 3, 3], [v = 1, u < -1, x = -1, And(-u^2+1 < y,y < u^2-1), And(u < z,z < -
u)], [regular_chain, [[1, 1], [-2, -2], [-1, -1], [0, 0], [0, 0]]]], [[8, 1, 4
, 3, 4], [v = 1, u < -1, x = -1, And(-u^2+1 < y,y < u^2-1), z = -u], [
regular_chain, [[1, 1], [-2, -2], [-1, -1], [0, 0], [2, 2]]]], [[8, 1, 4, 3, 5
], [v = 1, u < -1, x = -1, And(-u^2+1 < y,y < u^2-1), -u < z], [regular_chain,
[[1, 1], [-2, -2], [-1, -1], [0, 0], [3, 3]]]], [[8, 6, 2, 2, 1], [v = 1, u =
1, x = -1, y = 0, z < -1], [regular_chain, [[1, 1], [1, 1], [-1, -1], [0, 0],
[-2, -2]]]], [[8, 6, 2, 2, 2], [v = 1, u = 1, x = -1, y = 0, z = -1], [
regular_chain, [[1, 1], [1, 1], [-1, -1], [0, 0], [-1, -1]]]], [[8, 6, 2, 2, 3
], [v = 1, u = 1, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[1, 1],
[1, 1], [-1, -1], [0, 0], [0, 0]]]], [[8, 6, 2, 2, 4], [v = 1, u = 1, x = -1,
y = 0, z = 1], [regular_chain, [[1, 1], [1, 1], [-1, -1], [0, 0], [1, 1]]]], [
[8, 6, 2, 2, 5], [v = 1, u = 1, x = -1, y = 0, 1 < z], [regular_chain, [[1, 1]
, [1, 1], [-1, -1], [0, 0], [2, 2]]]], [[10, 9, 5, 5, 1], [v = 2^(1/2), And(1
< u,u < v), And(-u^2+1 < x,x < 1), u^2+x-1 < y, z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [284633/1048576, 284633/1048576], [2, 2], [-2, -2]]]], [[10, 9, 5, 5
, 2], [v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 < x,x < 1), u^2+x-1 < y, z =
-(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [284633/1048576, 284633/1048576], [2, 2], [-1417877
/2097152, -354469/524288]]]], [[10, 9, 5, 5, 3], [v = 2^(1/2), And(1 < u,u < v
), And(-u^2+1 < x,x < 1), u^2+x-1 < y, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2
))], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [284633/1048576, 284633/1048576], [2, 2], [0, 0]]]], [[10, 9
, 5, 5, 4], [v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 < x,x < 1), u^2+x-1 < y
, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [284633/1048576, 284633/1048576], [2, 2], [
354469/524288, 708939/1048576]]]], [[10, 9, 5, 5, 5], [v = 2^(1/2), And(1 < u,
u < v), And(-u^2+1 < x,x < 1), u^2+x-1 < y, (u^2-1)^(1/2) < z], [regular_chain
, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [
284633/1048576, 284633/1048576], [2, 2], [2, 2]]]], [[11, 3, 6, 1, 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]
, [-3, -3], [-2, -2]]]], [[11, 3, 6, 1, 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], [-3, -3], [-735979/
1048576, -1471957/2097152]]]], [[11, 3, 6, 1, 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], [-3, -3], [-1/4194304, -1/4194304]]]], [[11, 3, 6, 1, 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], [-3, -3
], [367989/524288, 735979/1048576]]]], [[11, 3, 6, 1, 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], [-3, -3]
, [2, 2]]]], [[1, 10, 7, 1, 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]
, [-3, -3], [-1, -1]]]], [[1, 10, 7, 1, 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], [-3, -3], [0, 0]]]], [[1, 10, 7, 1, 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], [-3, -3], [1, 1]]]], [[2, 2, 5, 2, 1], [v = -2^(1/
2), u = v, 1 < x, y = -1-x, z < -1], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1482911/1048576, -741455/524288], [2, 2], [-3, -3], [-2, -2]
]]], [[2, 2, 5, 2, 2], [v = -2^(1/2), u = v, 1 < x, y = -1-x, z = -1], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [2, 2], [-3, -3], [-1, -1]]]], [[2, 2, 5, 2, 3], [v = -2^(1/2), u =
v, 1 < x, y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1482911/1048576, -741455/524288], [2, 2], [-3, -3], [0, 0]]]
], [[2, 2, 5, 2, 4], [v = -2^(1/2), u = v, 1 < x, y = -1-x, z = 1], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [2, 2], [-3, -3], [1, 1]]]], [[2, 2, 5, 2, 5], [v = -2^(1/2), u = v,
1 < x, y = -1-x, 1 < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1482911/1048576, -741455/524288], [2, 2], [-3, -3], [2, 2]]]], [[3, 5, 5, 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 < u^2-v^2+x+1), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1527887/2097152
, 1527887/2097152], [0, 0], [0, 0]]]], [[4, 1, 3, 4, 1], [v = -1, u < -1, And(
-u^2 < x,x < -1), y = u^2+x, z < u], [regular_chain, [[-1, -1], [-2, -2], [-5/
2, -5/2], [3/2, 3/2], [-3, -3]]]], [[4, 1, 3, 4, 2], [v = -1, u < -1, And(-u^2
< x,x < -1), y = u^2+x, z = u], [regular_chain, [[-1, -1], [-2, -2], [-5/2, -5
/2], [3/2, 3/2], [-2, -2]]]], [[4, 1, 3, 4, 3], [v = -1, u < -1, And(-u^2 < x,
x < -1), y = u^2+x, And(u < z,z < -u)], [regular_chain, [[-1, -1], [-2, -2], [
-5/2, -5/2], [3/2, 3/2], [0, 0]]]], [[4, 1, 3, 4, 4], [v = -1, u < -1, And(-u^
2 < x,x < -1), y = u^2+x, z = -u], [regular_chain, [[-1, -1], [-2, -2], [-5/2,
-5/2], [3/2, 3/2], [2, 2]]]], [[4, 1, 3, 4, 5], [v = -1, u < -1, And(-u^2 < x,
x < -1), y = u^2+x, -u < z], [regular_chain, [[-1, -1], [-2, -2], [-5/2, -5/2]
, [3/2, 3/2], [3, 3]]]], [[5, 4, 5, 3, 1], [And(-1 < v,v < 0), u = -v, 1 < x,
And(-1-x < y,y < x+1), z < -1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2,
2], [0, 0], [-2, -2]]]], [[5, 4, 5, 3, 2], [And(-1 < v,v < 0), u = -v, 1 < x,
And(-1-x < y,y < x+1), z = -1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2,
2], [0, 0], [-1, -1]]]], [[5, 4, 5, 3, 3], [And(-1 < v,v < 0), u = -v, 1 < x,
And(-1-x < y,y < x+1), And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/2], [1/2
, 1/2], [2, 2], [0, 0], [0, 0]]]], [[5, 4, 5, 3, 4], [And(-1 < v,v < 0), u = -
v, 1 < x, And(-1-x < y,y < x+1), z = 1], [regular_chain, [[-1/2, -1/2], [1/2,
1/2], [2, 2], [0, 0], [1, 1]]]], [[5, 4, 5, 3, 5], [And(-1 < v,v < 0), u = -v,
1 < x, And(-1-x < y,y < x+1), 1 < z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2
], [2, 2], [0, 0], [2, 2]]]], [[7, 1, 5, 4, 1], [And(0 < v,v < 1), u < -v, And
(-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], [-2, -2], [0, 0], [19/4, 19/4], [-4, -4]]]], [[7, 1, 5, 4, 2], [And(0
< v,v < 1), u < -v, And(-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], [-2, -2], [0, 0], [19/4, 19/4], [-2285319/
1048576, -1142659/524288]]]], [[7, 1, 5, 4, 3], [And(0 < v,v < 1), u < -v, And
(-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], [-2, -2], [0, 0], [19/4, 19/4], [0, 0]]]],
[[7, 1, 5, 4, 4], [And(0 < v,v < 1), u < -v, And(-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], [-2, -2], [0, 0], [19/
4, 19/4], [1142659/524288, 2285319/1048576]]]], [[7, 1, 5, 4, 5], [And(0 < v,v
< 1), u < -v, And(-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], [-2, -2], [0, 0], [19/4, 19/4], [4, 4]]]], [[9, 3,
7, 5, 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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [4, 4], [-2, -\
2]]]], [[9, 3, 7, 5, 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 = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [4,
4], [-1374407/2097152, -687203/1048576]]]], [[9, 3, 7, 5, 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(-(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], [4, 4], [0, 0]
]]], [[9, 3, 7, 5, 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 = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [4, 4
], [687203/1048576, 171801/262144]]]], [[9, 3, 7, 5, 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, (u^2-v^2+1)^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304,
-3949363/4194304], [2, 2], [4, 4], [2, 2]]]], [[9, 8, 4, 1, 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], [-3, -3], [-2, -\
2]]]], [[9, 8, 4, 1, 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], [-3, -3], [-1, -1]]]], [[9, 8, 4, 1, 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],
[-3, -3], [0, 0]]]], [[9, 8, 4, 1, 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], [-3, -3], [1, 1]]]], [[9, 8, 4, 1, 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], [-3, -3
], [2, 2]]]], [[9, 9, 4, 3, 1], [And(1 < v,v < 2^(1/2)), v < u, x = -1, And(-u
^2+v^2 < y,y < u^2-v^2), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-1, -1], [0, 0], [-4, -4]]]], [[9, 9, 4, 3
, 2], [And(1 < v,v < 2^(1/2)), v < u, x = -1, And(-u^2+v^2 < y,y < u^2-v^2), z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3
, 3], [-1, -1], [0, 0], [-1532401/524288, -24518415/8388608]]]], [[9, 9, 4, 3,
3], [And(1 < v,v < 2^(1/2)), v < u, x = -1, And(-u^2+v^2 < y,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], [0, 0], [-7/16777216, -7/16777216
]]]], [[9, 9, 4, 3, 4], [And(1 < v,v < 2^(1/2)), v < u, x = -1, And(-u^2+v^2 <
y,y < u^2-v^2), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [-1, -1], [0, 0], [3064801/1048576, 1532401/524288]]
]], [[9, 9, 4, 3, 5], [And(1 < v,v < 2^(1/2)), v < u, x = -1, And(-u^2+v^2 < y
,y < u^2-v^2), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [-1, -1], [0, 0], [4, 4]]]], [[10, 5, 2, 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]]
]], [[11, 8, 2, 3, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -1, And(-2 < y,y <
2), z = z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1, -1],
[0, 0], [0, 0]]]], [[11, 13, 3, 1, 1], [2^(1/2) < v, v < 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],
[4, 4], [-9/2, -9/2], [-5, -5], [-4, -4]]]], [[11, 13, 3, 1, 2], [2^(1/2) < v,
v < 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], [4, 4], [-9/2, -9/2], [-5, -5], [-2965821/1048576, -\
11863283/4194304]]]], [[11, 13, 3, 1, 3], [2^(1/2) < v, v < 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], [4, 4], [-9/2, -9/2], [-5, -5], [-3/8388608, -3/
8388608]]]], [[11, 13, 3, 1, 4], [2^(1/2) < v, v < 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], [4, 4],
[-9/2, -9/2], [-5, -5], [741455/262144, 2965821/1048576]]]], [[11, 13, 3, 1, 5
], [2^(1/2) < v, v < 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], [4, 4], [-9/2, -9/2], [-5, -5], [4, 4
]]]], [[1, 1, 4, 2, 1], [v < -2^(1/2), u < v, x = -1, y = -u^2+v^2, z < -(u^2-
v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4], [-1, -1], [-7, -7], [-4, -\
4]]]], [[1, 1, 4, 2, 2], [v < -2^(1/2), u < v, x = -1, y = -u^2+v^2, z = -(u^2
-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4], [-1, -1], [-7, -7], [-\
2965821/1048576, -11863283/4194304]]]], [[1, 1, 4, 2, 3], [v < -2^(1/2), 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], [-4, -4], [-1, -1], [-7, -7], [-3/8388608, -3/
8388608]]]], [[1, 1, 4, 2, 4], [v < -2^(1/2), u < v, x = -1, y = -u^2+v^2, z =
(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4], [-1, -1], [-7, -7], [
741455/262144, 2965821/1048576]]]], [[1, 1, 4, 2, 5], [v < -2^(1/2), u < v, x
= -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-4, -4
], [-1, -1], [-7, -7], [4, 4]]]], [[1, 6, 1, 2, 1], [v < -2^(1/2), u = -(v^2-2
)^(1/2), x < -1, y = x-1, z = z], [regular_chain, [[-3, -3], [-5548543/2097152
, -2774271/1048576], [-2, -2], [-3, -3], [0, 0]]]], [[2, 7, 3, 5, 1], [v = -2^
(1/2), And(0 < u,u < 1), And(-1 < x,x < -u^2+1), -u^2-x+1 < y, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-1/8, -1/8],
[2, 2], [0, 0]]]], [[3, 1, 1, 2, 1], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [-10, -10], [-1527887/1048576, -763943/
524288], [-4, -4]]]], [[3, 1, 1, 2, 2], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [-10, -10], [-1527887/1048576, -\
763943/524288], [-1532401/524288, -24518415/8388608]]]], [[3, 1, 1, 2, 3], [
And(-2^(1/2) < v,v < -1), 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], [-3, -3], [-10, -10], [-1527887/1048576, -763943/524288], [-\
7/16777216, -7/16777216]]]], [[3, 1, 1, 2, 4], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [-10, -10], [-1527887/1048576,
-763943/524288], [3064801/1048576, 1532401/524288]]]], [[3, 1, 1, 2, 5], [And(
-2^(1/2) < v,v < -1), 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], [-3, -3], [-10,
-10], [-1527887/1048576, -763943/524288], [4, 4]]]], [[4, 2, 2, 2, 1], [v = -1
, u = -1, x = -1, y = 0, z < -1], [regular_chain, [[-1, -1], [-1, -1], [-1, -1
], [0, 0], [-2, -2]]]], [[4, 2, 2, 2, 2], [v = -1, u = -1, x = -1, y = 0, z =
-1], [regular_chain, [[-1, -1], [-1, -1], [-1, -1], [0, 0], [-1, -1]]]], [[4,
2, 2, 2, 3], [v = -1, u = -1, x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[-1, -1], [-1, -1], [-1, -1], [0, 0], [0, 0]]]], [[4, 2, 2, 2,
4], [v = -1, u = -1, x = -1, y = 0, z = 1], [regular_chain, [[-1, -1], [-1, -1
], [-1, -1], [0, 0], [1, 1]]]], [[4, 2, 2, 2, 5], [v = -1, u = -1, x = -1, y =
0, 1 < z], [regular_chain, [[-1, -1], [-1, -1], [-1, -1], [0, 0], [2, 2]]]], [
[4, 7, 1, 4, 1], [v = -1, 1 < u, x < -u^2, y = -u^2-x, z < -u], [regular_chain
, [[-1, -1], [2, 2], [-5, -5], [1, 1], [-3, -3]]]], [[4, 7, 1, 4, 2], [v = -1,
1 < u, x < -u^2, y = -u^2-x, z = -u], [regular_chain, [[-1, -1], [2, 2], [-5,
-5], [1, 1], [-2, -2]]]], [[4, 7, 1, 4, 3], [v = -1, 1 < u, x < -u^2, y = -u^2
-x, And(-u < z,z < u)], [regular_chain, [[-1, -1], [2, 2], [-5, -5], [1, 1], [
0, 0]]]], [[4, 7, 1, 4, 4], [v = -1, 1 < u, x < -u^2, y = -u^2-x, z = u], [
regular_chain, [[-1, -1], [2, 2], [-5, -5], [1, 1], [2, 2]]]], [[4, 7, 1, 4, 5
], [v = -1, 1 < u, x < -u^2, y = -u^2-x, u < z], [regular_chain, [[-1, -1], [2
, 2], [-5, -5], [1, 1], [3, 3]]]], [[8, 1, 4, 4, 1], [v = 1, u < -1, x = -1, y
= u^2-1, z < u], [regular_chain, [[1, 1], [-2, -2], [-1, -1], [3, 3], [-3, -3]
]]], [[8, 1, 4, 4, 2], [v = 1, u < -1, x = -1, y = u^2-1, z = u], [
regular_chain, [[1, 1], [-2, -2], [-1, -1], [3, 3], [-2, -2]]]], [[8, 1, 4, 4,
3], [v = 1, u < -1, x = -1, y = u^2-1, And(u < z,z < -u)], [regular_chain, [[1
, 1], [-2, -2], [-1, -1], [3, 3], [0, 0]]]], [[8, 1, 4, 4, 4], [v = 1, u < -1,
x = -1, y = u^2-1, z = -u], [regular_chain, [[1, 1], [-2, -2], [-1, -1], [3, 3
], [2, 2]]]], [[8, 1, 4, 4, 5], [v = 1, u < -1, x = -1, y = u^2-1, -u < z], [
regular_chain, [[1, 1], [-2, -2], [-1, -1], [3, 3], [3, 3]]]], [[8, 6, 1, 4, 1
], [v = 1, u = 1, x < -1, y = -1-x, z < -1], [regular_chain, [[1, 1], [1, 1],
[-2, -2], [1, 1], [-2, -2]]]], [[8, 6, 1, 4, 2], [v = 1, u = 1, x < -1, y = -1
-x, z = -1], [regular_chain, [[1, 1], [1, 1], [-2, -2], [1, 1], [-1, -1]]]], [
[8, 6, 1, 4, 3], [v = 1, u = 1, x < -1, y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[1, 1], [1, 1], [-2, -2], [1, 1], [0, 0]]]], [[8, 6, 1, 4, 4],
[v = 1, u = 1, x < -1, y = -1-x, z = 1], [regular_chain, [[1, 1], [1, 1], [-2,
-2], [1, 1], [1, 1]]]], [[8, 6, 1, 4, 5], [v = 1, u = 1, x < -1, y = -1-x, 1 <
z], [regular_chain, [[1, 1], [1, 1], [-2, -2], [1, 1], [2, 2]]]], [[10, 9, 6,
3, 1], [v = 2^(1/2), And(1 < u,u < v), x = 1, And(-u^2 < y,y < u^2), z < -(u^2
-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [1, 1], [0, 0], [-2, -2]]]], [[10, 9, 6, 3, 2], [v
= 2^(1/2), And(1 < u,u < v), x = 1, And(-u^2 < y,y < u^2), z = -(u^2-1)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743
/1048576], [1, 1], [0, 0], [-1417877/2097152, -354469/524288]]]], [[10, 9, 6,
3, 3], [v = 2^(1/2), And(1 < u,u < v), x = 1, And(-u^2 < y,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], [0, 0], [0, 0]]]], [[10,
9, 6, 3, 4], [v = 2^(1/2), And(1 < u,u < v), x = 1, And(-u^2 < y,y < u^2), z =
(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [1, 1], [0, 0], [354469/524288, 708939/1048576]]]],
[[10, 9, 6, 3, 5], [v = 2^(1/2), And(1 < u,u < v), x = 1, And(-u^2 < y,y < u^2
), (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [1, 1], [0, 0], [2, 2]]]], [[11, 3, 5, 5, 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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [532005/2097152, 532005/2097152], [2, 2], [-2, -2]
]]], [[11, 3, 5, 5, 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 = -(u^2-v^2+1)^(1/2)], [regular_chain, [
[3, 3], [-6111549/2097152, -6111549/2097152], [532005/2097152, 532005/2097152]
, [2, 2], [-735979/1048576, -1471957/2097152]]]], [[11, 3, 5, 5, 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(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3]
, [-6111549/2097152, -6111549/2097152], [532005/2097152, 532005/2097152], [2,
2], [-1/4194304, -1/4194304]]]], [[11, 3, 5, 5, 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 = (u^2-v^2+1)
^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [
532005/2097152, 532005/2097152], [2, 2], [367989/524288, 735979/1048576]]]], [
[11, 3, 5, 5, 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, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3],
[-6111549/2097152, -6111549/2097152], [532005/2097152, 532005/2097152], [2, 2]
, [2, 2]]]], [[1, 10, 7, 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, 10, 7, 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, 10, 7, 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]]]], [[2, 2, 5, 1, 1], [v = -2^(1/2), u = v, 1
< x, y < -1-x, z < -1], [regular_chain, [[-1482911/1048576, -741455/524288], [
-1482911/1048576, -741455/524288], [2, 2], [-4, -4], [-2, -2]]]], [[2, 2, 5, 1
, 2], [v = -2^(1/2), u = v, 1 < x, y < -1-x, z = -1], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [2, 2],
[-4, -4], [-1, -1]]]], [[2, 2, 5, 1, 3], [v = -2^(1/2), u = v, 1 < x, y < -1-x
, And(-1 < z,z < 1)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1482911/1048576, -741455/524288], [2, 2], [-4, -4], [0, 0]]]], [[2, 2, 5, 1, 4
], [v = -2^(1/2), u = v, 1 < x, y < -1-x, z = 1], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1482911/1048576, -741455/524288], [2, 2], [-4, -4]
, [1, 1]]]], [[2, 2, 5, 1, 5], [v = -2^(1/2), u = v, 1 < x, y < -1-x, 1 < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -\
741455/524288], [2, 2], [-4, -4], [2, 2]]]], [[3, 5, 5, 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]]]], [[4, 1, 3, 1, 1], [v = -1, u < -1, And(-u^2 < x,x < -1),
y < -u^2-x, z < u], [regular_chain, [[-1, -1], [-2, -2], [-5/2, -5/2], [-3, -3
], [-3, -3]]]], [[4, 1, 3, 1, 2], [v = -1, u < -1, And(-u^2 < x,x < -1), y < -
u^2-x, z = u], [regular_chain, [[-1, -1], [-2, -2], [-5/2, -5/2], [-3, -3], [-\
2, -2]]]], [[4, 1, 3, 1, 3], [v = -1, u < -1, And(-u^2 < x,x < -1), y < -u^2-x
, And(u < z,z < -u)], [regular_chain, [[-1, -1], [-2, -2], [-5/2, -5/2], [-3,
-3], [0, 0]]]], [[4, 1, 3, 1, 4], [v = -1, u < -1, And(-u^2 < x,x < -1), y < -
u^2-x, z = -u], [regular_chain, [[-1, -1], [-2, -2], [-5/2, -5/2], [-3, -3], [
2, 2]]]], [[4, 1, 3, 1, 5], [v = -1, u < -1, And(-u^2 < x,x < -1), y < -u^2-x,
-u < z], [regular_chain, [[-1, -1], [-2, -2], [-5/2, -5/2], [-3, -3], [3, 3]]]
], [[5, 5, 1, 1, 1], [And(-1 < v,v < 0), -v < 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], [2, 2], [-6, -6],
[-3, -3], [-4, -4]]]], [[5, 5, 1, 1, 2], [And(-1 < v,v < 0), -v < 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]
, [2, 2], [-6, -6], [-3, -3], [-2285319/1048576, -1142659/524288]]]], [[5, 5,
1, 1, 3], [And(-1 < v,v < 0), -v < 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], [2
, 2], [-6, -6], [-3, -3], [0, 0]]]], [[5, 5, 1, 1, 4], [And(-1 < v,v < 0), -v
< 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], [2, 2], [-6, -6], [-3, -3], [1142659/524288, 2285319/1048576]]]
], [[5, 5, 1, 1, 5], [And(-1 < v,v < 0), -v < 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], [2, 2], [-6, -6], [
-3, -3], [4, 4]]]], [[7, 1, 5, 3, 1], [And(0 < v,v < 1), u < -v, And(-1 < x,x
< 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-2, -2], [0, 0], [0, 0], [-4, -4]]]], [[7, 1, 5,
3, 2], [And(0 < v,v < 1), u < -v, And(-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y <
u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2],
[0, 0], [0, 0], [-2285319/1048576, -1142659/524288]]]], [[7, 1, 5, 3, 3], [And
(0 < v,v < 1), u < -v, And(-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^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], [-2, -2], [0, 0], [0, 0], [0, 0]]]], [[7, 1, 5, 3, 4], [And(0 < v,v < 1)
, u < -v, And(-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2-v
^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2], [0, 0], [0, 0], [1142659/
524288, 2285319/1048576]]]], [[7, 1, 5, 3, 5], [And(0 < v,v < 1), u < -v, And(
-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z],
[regular_chain, [[1/2, 1/2], [-2, -2], [0, 0], [0, 0], [4, 4]]]], [[9, 4, 1, 1
, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x < -1, y < x, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-2, -2], [-3, -3], [-1, -1]]]], [[9, 4, 1, 1, 2], [And(1 < v,v < 2^
(1/2)), u = -(v^2-1)^(1/2), x < -1, y < x, z = 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-2, -2], [-3,
-3], [0, 0]]]], [[9, 4, 1, 1, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2),
x < -1, y < x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1417877/2097152, -354469/524288], [-2, -2], [-3, -3], [1, 1]]]], [[9, 8, 3, 3,
1], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 1), And(-1-x < y,y < x+1),
z < -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576
, 1265743/1048576], [0, 0], [0, 0], [-2, -2]]]], [[9, 8, 3, 3, 2], [And(1 < v,
v < 2^(1/2)), u = v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z = -1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [0, 0], [0, 0], [-1, -1]]]], [[9, 8, 3, 3, 3], [And(1 < v,v < 2^(1/2
)), u = v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), And(-1 < z,z < 1)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [0, 0], [0, 0], [0, 0]]]], [[9, 8, 3, 3, 4], [And(1 < v,v < 2^(1/2))
, u = v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z = 1], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0],
[0, 0], [1, 1]]]], [[9, 8, 3, 3, 5], [And(1 < v,v < 2^(1/2)), u = v, And(-1 <
x,x < 1), And(-1-x < y,y < x+1), 1 < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [0, 0], [2, 2]]]
], [[9, 9, 5, 1, 1], [And(1 < v,v < 2^(1/2)), v < u, And(-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], [0, 0], [-10, -10], [-4, -4]]]], [[9, 9, 5, 1, 2], [
And(1 < v,v < 2^(1/2)), v < u, And(-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], [0
, 0], [-10, -10], [-1532401/524288, -24518415/8388608]]]], [[9, 9, 5, 1, 3], [
And(1 < v,v < 2^(1/2)), v < u, And(-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], [0, 0], [-10, -10], [-7/16777216, -7/16777216]]]], [
[9, 9, 5, 1, 4], [And(1 < v,v < 2^(1/2)), v < u, And(-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], [0, 0], [-10, -10], [3064801/1048576, 1532401/524288]]]], [[
9, 9, 5, 1, 5], [And(1 < v,v < 2^(1/2)), v < u, And(-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], [0, 0], [-10, -10], [4, 4]]]], [[10, 5, 2, 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]]]], [[11, 8
, 2, 4, 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, 13, 2, 1, 1], [2^(1/2) < v, v < u, x = -u^2+v^2-1, y < 0, z < -(u^
2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [-8, -8], [-1, -1], [-4, -4]
]]], [[11, 13, 2, 1, 2], [2^(1/2) < v, v < u, x = -u^2+v^2-1, y < 0, z = -(u^2
-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [-8, -8], [-1, -1], [-2965821
/1048576, -11863283/4194304]]]], [[11, 13, 2, 1, 3], [2^(1/2) < v, v < 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], [4, 4], [-8, -8], [-1, -1], [-3/8388608, -3/8388608]]]
], [[11, 13, 2, 1, 4], [2^(1/2) < v, v < u, x = -u^2+v^2-1, y < 0, z = (u^2-v^
2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [-8, -8], [-1, -1], [741455/
262144, 2965821/1048576]]]], [[11, 13, 2, 1, 5], [2^(1/2) < v, v < u, x = -u^2
+v^2-1, y < 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [4, 4], [-8, -\
8], [-1, -1], [4, 4]]]], [[1, 1, 4, 1, 1], [v < -2^(1/2), u < v, x = -1, y < -
u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4], [-1, -1
], [-8, -8], [-4, -4]]]], [[1, 1, 4, 1, 2], [v < -2^(1/2), u < v, x = -1, y <
-u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4], [-1, -\
1], [-8, -8], [-2965821/1048576, -11863283/4194304]]]], [[1, 1, 4, 1, 3], [v <
-2^(1/2), 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], [-4, -4], [-1, -1], [-8, -8], [-3/
8388608, -3/8388608]]]], [[1, 1, 4, 1, 4], [v < -2^(1/2), u < v, x = -1, y < -
u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4], [-1, -1]
, [-8, -8], [741455/262144, 2965821/1048576]]]], [[1, 1, 4, 1, 5], [v < -2^(1/
2), u < v, x = -1, y < -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3,
-3], [-4, -4], [-1, -1], [-8, -8], [4, 4]]]], [[1, 6, 1, 1, 1], [v < -2^(1/2),
u = -(v^2-2)^(1/2), x < -1, y < x-1, z = z], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [-2, -2], [-4, -4], [0, 0]]]], [[2, 7, 4,
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]]]], [[3, 1, 1, 3, 1], [And(-2^(1/2) < v,v < -1), u < v, x < -u^
2+v^2-1, And(u^2-v^2+x+1 < y,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], [0
, 0], [-4, -4]]]], [[3, 1, 1, 3, 2], [And(-2^(1/2) < v,v < -1), u < v, x < -u^
2+v^2-1, And(u^2-v^2+x+1 < y,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], [0
, 0], [-1532401/524288, -24518415/8388608]]]], [[3, 1, 1, 3, 3], [And(-2^(1/2)
< v,v < -1), u < v, x < -u^2+v^2-1, And(u^2-v^2+x+1 < y,y < -u^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], [0, 0], [-7/16777216, -7/
16777216]]]], [[3, 1, 1, 3, 4], [And(-2^(1/2) < v,v < -1), u < v, x < -u^2+v^2
-1, And(u^2-v^2+x+1 < y,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], [0
, 0], [3064801/1048576, 1532401/524288]]]], [[3, 1, 1, 3, 5], [And(-2^(1/2) <
v,v < -1), u < v, x < -u^2+v^2-1, And(u^2-v^2+x+1 < y,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], [0, 0], [4, 4]]]], [[4, 2, 2, 1, 1], [v = -1, u = -1, x = -1,
y < 0, z < -1], [regular_chain, [[-1, -1], [-1, -1], [-1, -1], [-1, -1], [-2,
-2]]]], [[4, 2, 2, 1, 2], [v = -1, u = -1, x = -1, y < 0, z = -1], [
regular_chain, [[-1, -1], [-1, -1], [-1, -1], [-1, -1], [-1, -1]]]], [[4, 2, 2
, 1, 3], [v = -1, u = -1, x = -1, y < 0, And(-1 < z,z < 1)], [regular_chain, [
[-1, -1], [-1, -1], [-1, -1], [-1, -1], [0, 0]]]], [[4, 2, 2, 1, 4], [v = -1,
u = -1, x = -1, y < 0, z = 1], [regular_chain, [[-1, -1], [-1, -1], [-1, -1],
[-1, -1], [1, 1]]]], [[4, 2, 2, 1, 5], [v = -1, u = -1, x = -1, y < 0, 1 < z],
[regular_chain, [[-1, -1], [-1, -1], [-1, -1], [-1, -1], [2, 2]]]], [[4, 7, 1,
3, 1], [v = -1, 1 < u, x < -u^2, And(u^2+x < y,y < -u^2-x), z < -u], [
regular_chain, [[-1, -1], [2, 2], [-5, -5], [0, 0], [-3, -3]]]], [[4, 7, 1, 3,
2], [v = -1, 1 < u, x < -u^2, And(u^2+x < y,y < -u^2-x), z = -u], [
regular_chain, [[-1, -1], [2, 2], [-5, -5], [0, 0], [-2, -2]]]], [[4, 7, 1, 3,
3], [v = -1, 1 < u, x < -u^2, And(u^2+x < y,y < -u^2-x), And(-u < z,z < u)], [
regular_chain, [[-1, -1], [2, 2], [-5, -5], [0, 0], [0, 0]]]], [[4, 7, 1, 3, 4
], [v = -1, 1 < u, x < -u^2, And(u^2+x < y,y < -u^2-x), z = u], [regular_chain
, [[-1, -1], [2, 2], [-5, -5], [0, 0], [2, 2]]]], [[4, 7, 1, 3, 5], [v = -1, 1
< u, x < -u^2, And(u^2+x < y,y < -u^2-x), u < z], [regular_chain, [[-1, -1], [
2, 2], [-5, -5], [0, 0], [3, 3]]]], [[8, 1, 4, 5, 1], [v = 1, u < -1, x = -1,
u^2-1 < y, z < u], [regular_chain, [[1, 1], [-2, -2], [-1, -1], [4, 4], [-3, -\
3]]]], [[8, 1, 4, 5, 2], [v = 1, u < -1, x = -1, u^2-1 < y, z = u], [
regular_chain, [[1, 1], [-2, -2], [-1, -1], [4, 4], [-2, -2]]]], [[8, 1, 4, 5,
3], [v = 1, u < -1, x = -1, u^2-1 < y, And(u < z,z < -u)], [regular_chain, [[1
, 1], [-2, -2], [-1, -1], [4, 4], [0, 0]]]], [[8, 1, 4, 5, 4], [v = 1, u < -1,
x = -1, u^2-1 < y, z = -u], [regular_chain, [[1, 1], [-2, -2], [-1, -1], [4, 4
], [2, 2]]]], [[8, 1, 4, 5, 5], [v = 1, u < -1, x = -1, u^2-1 < y, -u < z], [
regular_chain, [[1, 1], [-2, -2], [-1, -1], [4, 4], [3, 3]]]], [[8, 6, 1, 5, 1
], [v = 1, u = 1, x < -1, -1-x < y, z < -1], [regular_chain, [[1, 1], [1, 1],
[-2, -2], [2, 2], [-2, -2]]]], [[8, 6, 1, 5, 2], [v = 1, u = 1, x < -1, -1-x <
y, z = -1], [regular_chain, [[1, 1], [1, 1], [-2, -2], [2, 2], [-1, -1]]]], [[
8, 6, 1, 5, 3], [v = 1, u = 1, x < -1, -1-x < y, And(-1 < z,z < 1)], [
regular_chain, [[1, 1], [1, 1], [-2, -2], [2, 2], [0, 0]]]], [[8, 6, 1, 5, 4],
[v = 1, u = 1, x < -1, -1-x < y, z = 1], [regular_chain, [[1, 1], [1, 1], [-2,
-2], [2, 2], [1, 1]]]], [[8, 6, 1, 5, 5], [v = 1, u = 1, x < -1, -1-x < y, 1 <
z], [regular_chain, [[1, 1], [1, 1], [-2, -2], [2, 2], [2, 2]]]], [[10, 9, 6,
2, 1], [v = 2^(1/2), And(1 < u,u < v), x = 1, y = -u^2, z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [1, 1], [-1527887/1048576, -763943/524288], [-2, -2]]]], [[10, 9, 6,
2, 2], [v = 2^(1/2), And(1 < u,u < v), x = 1, y = -u^2, z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [1, 1], [-1527887/1048576, -763943/524288], [-1417877/2097152, -\
354469/524288]]]], [[10, 9, 6, 2, 3], [v = 2^(1/2), And(1 < u,u < v), x = 1, y
= -u^2, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-\
1527887/1048576, -763943/524288], [0, 0]]]], [[10, 9, 6, 2, 4], [v = 2^(1/2),
And(1 < u,u < v), x = 1, y = -u^2, z = (u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [
-1527887/1048576, -763943/524288], [354469/524288, 708939/1048576]]]], [[10, 9
, 6, 2, 5], [v = 2^(1/2), And(1 < u,u < v), x = 1, y = -u^2, (u^2-1)^(1/2) < z
], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [1, 1], [-1527887/1048576, -763943/524288], [2, 2]]]], [[11,
3, 5, 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], [532005/2097152, 532005/2097152], [391287/
524288, 782575/1048576], [-2, -2]]]], [[11, 3, 5, 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],
[532005/2097152, 532005/2097152], [391287/524288, 782575/1048576], [-735979/
1048576, -1471957/2097152]]]], [[11, 3, 5, 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], [532005/2097152, 532005/2097152], [391287/524288, 782575/
1048576], [-1/4194304, -1/4194304]]]], [[11, 3, 5, 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],
[532005/2097152, 532005/2097152], [391287/524288, 782575/1048576], [367989/
524288, 735979/1048576]]]], [[11, 3, 5, 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], [532005/
2097152, 532005/2097152], [391287/524288, 782575/1048576], [2, 2]]]], [[1, 10,
7, 3, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), 1 < x, And(-x < y,y < x), z < 0],
[regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [2, 2], [0, 0], [
-1, -1]]]], [[1, 10, 7, 3, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), 1 < x, And(-x
< y,y < x), z = 0], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576
], [2, 2], [0, 0], [0, 0]]]], [[1, 10, 7, 3, 3], [v < -2^(1/2), u = (v^2-1)^(1
/2), 1 < x, And(-x < y,y < x), 0 < z], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [2, 2], [0, 0], [1, 1]]]], [[2, 2, 4, 5, 1], [v = -2
^(1/2), u = v, x = 1, 2 < y, z < -1], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1482911/1048576, -741455/524288], [1, 1], [3, 3], [-2, -2]]]
], [[2, 2, 4, 5, 2], [v = -2^(1/2), u = v, x = 1, 2 < y, z = -1], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [1, 1], [3, 3], [-1, -1]]]], [[2, 2, 4, 5, 3], [v = -2^(1/2), u = v,
x = 1, 2 < y, And(-1 < z,z < 1)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1482911/1048576, -741455/524288], [1, 1], [3, 3], [0, 0]]]], [[2, 2
, 4, 5, 4], [v = -2^(1/2), u = v, x = 1, 2 < y, z = 1], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [1, 1],
[3, 3], [1, 1]]]], [[2, 2, 4, 5, 5], [v = -2^(1/2), u = v, x = 1, 2 < y, 1 < z
], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -\
741455/524288], [1, 1], [3, 3], [2, 2]]]], [[3, 5, 5, 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)
, u^2-v^2+x+1 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [1527887/2097152, 1527887/2097152], [2, 2], [0, 0]]]], [[4,
1, 3, 2, 1], [v = -1, u < -1, And(-u^2 < x,x < -1), y = -u^2-x, z < u], [
regular_chain, [[-1, -1], [-2, -2], [-5/2, -5/2], [-3/2, -3/2], [-3, -3]]]], [
[4, 1, 3, 2, 2], [v = -1, u < -1, And(-u^2 < x,x < -1), y = -u^2-x, z = u], [
regular_chain, [[-1, -1], [-2, -2], [-5/2, -5/2], [-3/2, -3/2], [-2, -2]]]], [
[4, 1, 3, 2, 3], [v = -1, u < -1, And(-u^2 < x,x < -1), y = -u^2-x, And(u < z,
z < -u)], [regular_chain, [[-1, -1], [-2, -2], [-5/2, -5/2], [-3/2, -3/2], [0,
0]]]], [[4, 1, 3, 2, 4], [v = -1, u < -1, And(-u^2 < x,x < -1), y = -u^2-x, z
= -u], [regular_chain, [[-1, -1], [-2, -2], [-5/2, -5/2], [-3/2, -3/2], [2, 2]
]]], [[4, 1, 3, 2, 5], [v = -1, u < -1, And(-u^2 < x,x < -1), y = -u^2-x, -u <
z], [regular_chain, [[-1, -1], [-2, -2], [-5/2, -5/2], [-3/2, -3/2], [3, 3]]]]
, [[5, 4, 5, 5, 1], [And(-1 < v,v < 0), u = -v, 1 < x, x+1 < y, z < -1], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2], [4, 4], [-2, -2]]]], [[5, 4,
5, 5, 2], [And(-1 < v,v < 0), u = -v, 1 < x, x+1 < y, z = -1], [regular_chain,
[[-1/2, -1/2], [1/2, 1/2], [2, 2], [4, 4], [-1, -1]]]], [[5, 4, 5, 5, 3], [And
(-1 < v,v < 0), u = -v, 1 < x, x+1 < y, And(-1 < z,z < 1)], [regular_chain, [[
-1/2, -1/2], [1/2, 1/2], [2, 2], [4, 4], [0, 0]]]], [[5, 4, 5, 5, 4], [And(-1
< v,v < 0), u = -v, 1 < x, x+1 < y, z = 1], [regular_chain, [[-1/2, -1/2], [1/
2, 1/2], [2, 2], [4, 4], [1, 1]]]], [[5, 4, 5, 5, 5], [And(-1 < v,v < 0), u =
-v, 1 < x, x+1 < y, 1 < z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2],
[4, 4], [2, 2]]]], [[7, 1, 5, 2, 1], [And(0 < v,v < 1), u < -v, And(-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], [-\
2, -2], [0, 0], [-19/4, -19/4], [-4, -4]]]], [[7, 1, 5, 2, 2], [And(0 < v,v <
1), u < -v, And(-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], [-2, -2], [0, 0], [-19/4, -19/4], [-2285319/
1048576, -1142659/524288]]]], [[7, 1, 5, 2, 3], [And(0 < v,v < 1), u < -v, And
(-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], [-2, -2], [0, 0], [-19/4, -19/4], [0, 0]]
]], [[7, 1, 5, 2, 4], [And(0 < v,v < 1), u < -v, And(-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], [-2, -2], [0, 0],
[-19/4, -19/4], [1142659/524288, 2285319/1048576]]]], [[7, 1, 5, 2, 5], [And(0
< v,v < 1), u < -v, And(-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], [-2, -2], [0, 0], [-19/4, -19/4], [4, 4]]]], [
[9, 4, 1, 2, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x < -1, y = x, z
< 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152,
-354469/524288], [-2, -2], [-2, -2], [-1, -1]]]], [[9, 4, 1, 2, 2], [And(1 < v
,v < 2^(1/2)), u = -(v^2-1)^(1/2), x < -1, y = x, z = 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-2, -2
], [-2, -2], [0, 0]]]], [[9, 4, 1, 2, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1
)^(1/2), x < -1, y = x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [-2, -2], [-2, -2], [1, 1]]]], [
[9, 8, 3, 4, 1], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 1), y = x+1, z
< -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576,
1265743/1048576], [0, 0], [1, 1], [-2, -2]]]], [[9, 8, 3, 4, 2], [And(1 < v,v
< 2^(1/2)), u = v, And(-1 < x,x < 1), y = x+1, z = -1], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0],
[1, 1], [-1, -1]]]], [[9, 8, 3, 4, 3], [And(1 < v,v < 2^(1/2)), u = v, And(-1
< x,x < 1), y = x+1, And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [0, 0]]]
], [[9, 8, 3, 4, 4], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 1), y = x+
1, z = 1], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [0, 0], [1, 1], [1, 1]]]], [[9, 8, 3, 4, 5], [And(1
< v,v < 2^(1/2)), u = v, And(-1 < x,x < 1), y = x+1, 1 < z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0]
, [1, 1], [2, 2]]]], [[9, 9, 4, 5, 1], [And(1 < v,v < 2^(1/2)), v < u, x = -1,
u^2-v^2 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [-1, -1], [9, 9], [-4, -4]]]], [[9, 9, 4, 5, 2], [
And(1 < v,v < 2^(1/2)), v < u, x = -1, u^2-v^2 < y, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1, -1], [9, 9],
[-1532401/524288, -24518415/8388608]]]], [[9, 9, 4, 5, 3], [And(1 < v,v < 2^(1
/2)), v < u, x = -1, u^2-v^2 < y, 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],
[9, 9], [-7/16777216, -7/16777216]]]], [[9, 9, 4, 5, 4], [And(1 < v,v < 2^(1/2
)), v < u, x = -1, u^2-v^2 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [-1, -1], [9, 9], [3064801/1048576,
1532401/524288]]]], [[9, 9, 4, 5, 5], [And(1 < v,v < 2^(1/2)), v < u, x = -1,
u^2-v^2 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [-1, -1], [9, 9], [4, 4]]]], [[10, 5, 1, 5, 1], [v =
2^(1/2), And(-1 < u,u < 0), x < -1, -u^2-x+1 < y, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1/2, -1/2], [-2, -2], [4, 4], [0, 0]]]], [[
11, 8, 2, 5, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -1, 2 < y, z = z], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1, -1], [3, 3], [0, 0
]]]], [[11, 13, 2, 2, 1], [2^(1/2) < v, v < u, x = -u^2+v^2-1, y = 0, z < -(u^
2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [-8, -8], [0, 0], [-4, -4]]]
], [[11, 13, 2, 2, 2], [2^(1/2) < v, v < u, x = -u^2+v^2-1, y = 0, z = -(u^2-v
^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [-8, -8], [0, 0], [-2965821/
1048576, -11863283/4194304]]]], [[11, 13, 2, 2, 3], [2^(1/2) < v, v < 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], [4, 4], [-8, -8], [0, 0], [-3/8388608, -3/8388608]]]],
[[11, 13, 2, 2, 4], [2^(1/2) < v, v < u, x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1
)^(1/2)], [regular_chain, [[3, 3], [4, 4], [-8, -8], [0, 0], [741455/262144, 
2965821/1048576]]]], [[11, 13, 2, 2, 5], [2^(1/2) < v, v < u, x = -u^2+v^2-1,
y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [4, 4], [-8, -8], [0,
0], [4, 4]]]], [[1, 11, 2, 5, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v)
, x = -1, -u^2+v^2 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-1, -1], [2, 2], [-2, -2]]]], [[1, 11, 2,
5, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, -u^2+v^2 < y, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-1, -1], [2, 2], [-735979/1048576, -1471957/2097152]]]], [[1, 11, 2
, 5, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, -u^2+v^2 < y, 
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], [2, 2], [-1/4194304, -1/4194304]
]]], [[1, 11, 2, 5, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1,
-u^2+v^2 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-1, -1], [2, 2], [367989/524288, 735979/1048576]]]
], [[1, 11, 2, 5, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, -u
^2+v^2 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-1, -1], [2, 2], [2, 2]]]], [[2, 1, 7, 3, 1], [v =
-2^(1/2), u < v, 1 < x, And(-u^2-x+1 < y,y < u^2+x-1), z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [2, 2], [0, 0],
[-4, -4]]]], [[2, 1, 7, 3, 2], [v = -2^(1/2), u < v, 1 < x, And(-u^2-x+1 < y,y
< u^2+x-1), z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [2, 2], [0, 0], [-2965821/1048576, -11863283/4194304]]]], [
[2, 1, 7, 3, 3], [v = -2^(1/2), u < v, 1 < x, And(-u^2-x+1 < y,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], [2, 2], [0, 0], [-3/8388608, -3/8388608]]]], [[2,
1, 7, 3, 4], [v = -2^(1/2), u < v, 1 < x, And(-u^2-x+1 < y,y < u^2+x-1), z = (
u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3],
[2, 2], [0, 0], [741455/262144, 2965821/1048576]]]], [[2, 1, 7, 3, 5], [v = -2
^(1/2), u < v, 1 < x, And(-u^2-x+1 < y,y < u^2+x-1), (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [2, 2], [0, 0],
[4, 4]]]], [[3, 6, 4, 3, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x =
0, 0 < y, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
354469/524288, 708939/1048576], [0, 0], [1, 1], [-1, -1]]]], [[3, 6, 4, 3, 2],
[And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 0, 0 < y, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [0, 0], [1, 1], [0, 0]]]], [[3, 6, 4, 3, 3], [And(-2^(1/2) < v,v < -\
1), u = (v^2-1)^(1/2), x = 0, 0 < y, 0 < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [0, 0], [1, 1], [
1, 1]]]], [[4, 1, 2, 1, 1], [v = -1, u < -1, x = -u^2, y < 0, z < u], [
regular_chain, [[-1, -1], [-2, -2], [-4, -4], [-1, -1], [-3, -3]]]], [[4, 1, 2
, 1, 2], [v = -1, u < -1, x = -u^2, y < 0, z = u], [regular_chain, [[-1, -1],
[-2, -2], [-4, -4], [-1, -1], [-2, -2]]]], [[4, 1, 2, 1, 3], [v = -1, u < -1,
x = -u^2, y < 0, And(u < z,z < -u)], [regular_chain, [[-1, -1], [-2, -2], [-4,
-4], [-1, -1], [0, 0]]]], [[4, 1, 2, 1, 4], [v = -1, u < -1, x = -u^2, y < 0,
z = -u], [regular_chain, [[-1, -1], [-2, -2], [-4, -4], [-1, -1], [2, 2]]]], [
[4, 1, 2, 1, 5], [v = -1, u < -1, x = -u^2, y < 0, -u < z], [regular_chain, [[
-1, -1], [-2, -2], [-4, -4], [-1, -1], [3, 3]]]], [[5, 5, 3, 4, 1], [And(-1 <
v,v < 0), -v < 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], [2, 2], [-23/8, -23/8], [15/8, 15/8],
[-4, -4]]]], [[5, 5, 3, 4, 2], [And(-1 < v,v < 0), -v < 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], [2, 2], [-23/8, -23/8], [15/8, 15/8], [-2285319/1048576, -1142659/524288]]
]], [[5, 5, 3, 4, 3], [And(-1 < v,v < 0), -v < 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], [2, 2], [-23/8, -23/8], [15/8, 15/8], [0, 0]]]],
[[5, 5, 3, 4, 4], [And(-1 < v,v < 0), -v < 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], [2, 2], [-\
23/8, -23/8], [15/8, 15/8], [1142659/524288, 2285319/1048576]]]], [[5, 5, 3, 4
, 5], [And(-1 < v,v < 0), -v < 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], [2, 2], [-23/8, -23/8],
[15/8, 15/8], [4, 4]]]], [[6, 3, 7, 5, 1], [v = 0, 0 < u, 1 < x, u^2+x+1 < y,
z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [2, 2], [5, 5], [-3, -3]
]]], [[6, 3, 7, 5, 2], [v = 0, 0 < u, 1 < x, u^2+x+1 < y, z = -(u^2+1)^(1/2)],
[regular_chain, [[0, 0], [1, 1], [2, 2], [5, 5], [-1482911/1048576, -741455/
524288]]]], [[6, 3, 7, 5, 3], [v = 0, 0 < u, 1 < x, u^2+x+1 < y, And(-(u^2+1)^
(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [1, 1], [2, 2], [5, 5]
, [0, 0]]]], [[6, 3, 7, 5, 4], [v = 0, 0 < u, 1 < x, u^2+x+1 < y, z = (u^2+1)^
(1/2)], [regular_chain, [[0, 0], [1, 1], [2, 2], [5, 5], [741455/524288, 
1482911/1048576]]]], [[6, 3, 7, 5, 5], [v = 0, 0 < u, 1 < x, u^2+x+1 < y, (u^2
+1)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [2, 2], [5, 5], [3, 3]]]], [[
9, 4, 7, 2, 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, 4, 7, 2, 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, 4, 7, 2, 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
, 8, 2, 3, 1], [And(1 < v,v < 2^(1/2)), u = v, x = -1, 0 < y, z < -1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [-1, -1], [1, 1], [-2, -2]]]], [[9, 8, 2, 3, 2], [And(1 < v,v < 2^(1
/2)), u = v, x = -1, 0 < y, z = -1], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [1, 1], [-1, -\
1]]]], [[9, 8, 2, 3, 3], [And(1 < v,v < 2^(1/2)), u = v, x = -1, 0 < y, And(-1
< z,z < 1)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [-1, -1], [1, 1], [0, 0]]]], [[9, 8, 2, 3, 4], [And
(1 < v,v < 2^(1/2)), u = v, x = -1, 0 < y, z = 1], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [1, 1
], [1, 1]]]], [[9, 8, 2, 3, 5], [And(1 < v,v < 2^(1/2)), u = v, x = -1, 0 < y,
1 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576,
1265743/1048576], [-1, -1], [1, 1], [2, 2]]]], [[9, 9, 5, 4, 1], [And(1 < v,v
< 2^(1/2)), v < u, And(-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], [0, 0], [
8957873/1048576, 4478937/524288], [-4, -4]]]], [[9, 9, 5, 4, 2], [And(1 < v,v
< 2^(1/2)), v < u, And(-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], [0, 0], [
8957873/1048576, 4478937/524288], [-1532401/524288, -24518415/8388608]]]], [[9
, 9, 5, 4, 3], [And(1 < v,v < 2^(1/2)), v < u, And(-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], [0, 0], [8957873/1048576, 4478937/
524288], [-7/16777216, -7/16777216]]]], [[9, 9, 5, 4, 4], [And(1 < v,v < 2^(1/
2)), v < u, And(-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], [0, 0], [8957873/
1048576, 4478937/524288], [3064801/1048576, 1532401/524288]]]], [[9, 9, 5, 4,
5], [And(1 < v,v < 2^(1/2)), v < u, And(-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],
[0, 0], [8957873/1048576, 4478937/524288], [4, 4]]]], [[10, 4, 2, 5, 1], [v =
2^(1/2), u = -1, x = -1, 1 < y, z < 0], [regular_chain, [[741455/524288, 
1482911/1048576], [-1, -1], [-1, -1], [2, 2], [-1, -1]]]], [[10, 4, 2, 5, 2],
[v = 2^(1/2), u = -1, x = -1, 1 < y, z = 0], [regular_chain, [[741455/524288,
1482911/1048576], [-1, -1], [-1, -1], [2, 2], [0, 0]]]], [[10, 4, 2, 5, 3], [v
= 2^(1/2), u = -1, x = -1, 1 < y, 0 < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1, -1], [-1, -1], [2, 2], [1, 1]]]], [[11, 9, 2, 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, 12, 4, 5, 1], [2^(1/2) < v,
u = v, x = 1, 2 < y, z < -1], [regular_chain, [[3, 3], [3, 3], [1, 1], [3, 3],
[-2, -2]]]], [[11, 12, 4, 5, 2], [2^(1/2) < v, u = v, x = 1, 2 < y, z = -1], [
regular_chain, [[3, 3], [3, 3], [1, 1], [3, 3], [-1, -1]]]], [[11, 12, 4, 5, 3
], [2^(1/2) < v, u = v, x = 1, 2 < y, And(-1 < z,z < 1)], [regular_chain, [[3,
3], [3, 3], [1, 1], [3, 3], [0, 0]]]], [[11, 12, 4, 5, 4], [2^(1/2) < v, u = v
, x = 1, 2 < y, z = 1], [regular_chain, [[3, 3], [3, 3], [1, 1], [3, 3], [1, 1
]]]], [[11, 12, 4, 5, 5], [2^(1/2) < v, u = v, x = 1, 2 < y, 1 < z], [
regular_chain, [[3, 3], [3, 3], [1, 1], [3, 3], [2, 2]]]], [[1, 1, 4, 5, 1], [
v < -2^(1/2), u < v, x = -1, u^2-v^2 < y, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-4, -4], [-1, -1], [8, 8], [-4, -4]]]], [[1, 1, 4,
5, 2], [v < -2^(1/2), u < v, x = -1, u^2-v^2 < y, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-4, -4], [-1, -1], [8, 8], [-2965821/1048576, -\
11863283/4194304]]]], [[1, 1, 4, 5, 3], [v < -2^(1/2), u < v, x = -1, u^2-v^2
< y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3,
-3], [-4, -4], [-1, -1], [8, 8], [-3/8388608, -3/8388608]]]], [[1, 1, 4, 5, 4]
, [v < -2^(1/2), u < v, x = -1, u^2-v^2 < y, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-4, -4], [-1, -1], [8, 8], [741455/262144, 2965821/
1048576]]]], [[1, 1, 4, 5, 5], [v < -2^(1/2), u < v, x = -1, u^2-v^2 < y, (u^2
-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-4, -4], [-1, -1], [8, 8], [4,
4]]]], [[1, 5, 2, 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]]]], [[2, 8, 1, 3, 1],
[v = -2^(1/2), u = 1, x < -1, And(x < y,y < -x), z < 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [-2, -2], [0, 0], [-1, -1]]]], [[2,
8, 1, 3, 2], [v = -2^(1/2), u = 1, x < -1, And(x < y,y < -x), z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-2, -2], [0, 0],
[0, 0]]]], [[2, 8, 1, 3, 3], [v = -2^(1/2), u = 1, x < -1, And(x < y,y < -x),
0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-2, -2],
[0, 0], [1, 1]]]], [[2, 11, 6, 1, 1], [v = -2^(1/2), -v < u, x = 1, y < -u^2,
z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3,
3], [1, 1], [-10, -10], [-4, -4]]]], [[2, 11, 6, 1, 2], [v = -2^(1/2), -v < u,
x = 1, y < -u^2, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [1, 1], [-10, -10], [-2965821/1048576, -11863283/
4194304]]]], [[2, 11, 6, 1, 3], [v = -2^(1/2), -v < 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], [-10, -10], [-3/8388608, -3/8388608]]]], [[2,
11, 6, 1, 4], [v = -2^(1/2), -v < u, x = 1, y < -u^2, z = (u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [1, 1], [-10, -10]
, [741455/262144, 2965821/1048576]]]], [[2, 11, 6, 1, 5], [v = -2^(1/2), -v <
u, x = 1, y < -u^2, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [1, 1], [-10, -10], [4, 4]]]], [[4, 2, 3, 2, 1], [v =
-1, u = -1, And(-1 < x,x < 1), y = -1-x, z < -1], [regular_chain, [[-1, -1], [
-1, -1], [0, 0], [-1, -1], [-2, -2]]]], [[4, 2, 3, 2, 2], [v = -1, u = -1, And
(-1 < x,x < 1), y = -1-x, z = -1], [regular_chain, [[-1, -1], [-1, -1], [0, 0]
, [-1, -1], [-1, -1]]]], [[4, 2, 3, 2, 3], [v = -1, u = -1, And(-1 < x,x < 1),
y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [-1, -1], [0, 0], [-1
, -1], [0, 0]]]], [[4, 2, 3, 2, 4], [v = -1, u = -1, And(-1 < x,x < 1), y = -1
-x, z = 1], [regular_chain, [[-1, -1], [-1, -1], [0, 0], [-1, -1], [1, 1]]]],
[[4, 2, 3, 2, 5], [v = -1, u = -1, And(-1 < x,x < 1), y = -1-x, 1 < z], [
regular_chain, [[-1, -1], [-1, -1], [0, 0], [-1, -1], [2, 2]]]], [[4, 5, 7, 3,
1], [v = -1, And(0 < u,u < 1), 1 < x, And(-u^2-x < y,y < u^2+x), z < -u], [
regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [0, 0], [-2, -2]]]], [[4, 5, 7,
3, 2], [v = -1, And(0 < u,u < 1), 1 < x, And(-u^2-x < y,y < u^2+x), z = -u], [
regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [0, 0], [-1/2, -1/2]]]], [[4, 5,
7, 3, 3], [v = -1, And(0 < u,u < 1), 1 < x, And(-u^2-x < y,y < u^2+x), And(-u
< z,z < u)], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [0, 0], [0, 0]]]],
[[4, 5, 7, 3, 4], [v = -1, And(0 < u,u < 1), 1 < x, And(-u^2-x < y,y < u^2+x),
z = u], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [0, 0], [1/2, 1/2]]]],
[[4, 5, 7, 3, 5], [v = -1, And(0 < u,u < 1), 1 < x, And(-u^2-x < y,y < u^2+x),
u < z], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [0, 0], [2, 2]]]], [[8,
2, 1, 5, 1], [v = 1, u = -1, x < -1, -1-x < y, z < -1], [regular_chain, [[1, 1
], [-1, -1], [-2, -2], [2, 2], [-2, -2]]]], [[8, 2, 1, 5, 2], [v = 1, u = -1,
x < -1, -1-x < y, z = -1], [regular_chain, [[1, 1], [-1, -1], [-2, -2], [2, 2]
, [-1, -1]]]], [[8, 2, 1, 5, 3], [v = 1, u = -1, x < -1, -1-x < y, And(-1 < z,
z < 1)], [regular_chain, [[1, 1], [-1, -1], [-2, -2], [2, 2], [0, 0]]]], [[8,
2, 1, 5, 4], [v = 1, u = -1, x < -1, -1-x < y, z = 1], [regular_chain, [[1, 1]
, [-1, -1], [-2, -2], [2, 2], [1, 1]]]], [[8, 2, 1, 5, 5], [v = 1, u = -1, x <
-1, -1-x < y, 1 < z], [regular_chain, [[1, 1], [-1, -1], [-2, -2], [2, 2], [2,
2]]]], [[8, 5, 6, 3, 1], [v = 1, And(0 < u,u < 1), x = 1, And(-u^2-1 < y,y < u
^2+1), z < -u], [regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [0, 0], [-2, -2]]
]], [[8, 5, 6, 3, 2], [v = 1, And(0 < u,u < 1), x = 1, And(-u^2-1 < y,y < u^2+
1), z = -u], [regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [0, 0], [-1/2, -1/2]
]]], [[8, 5, 6, 3, 3], [v = 1, And(0 < u,u < 1), x = 1, And(-u^2-1 < y,y < u^2
+1), And(-u < z,z < u)], [regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [0, 0],
[0, 0]]]], [[8, 5, 6, 3, 4], [v = 1, And(0 < u,u < 1), x = 1, And(-u^2-1 < y,y
< u^2+1), z = u], [regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [0, 0], [1/2, 1
/2]]]], [[8, 5, 6, 3, 5], [v = 1, And(0 < u,u < 1), x = 1, And(-u^2-1 < y,y <
u^2+1), u < z], [regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [0, 0], [2, 2]]]]
, [[10, 10, 1, 4, 1], [v = 2^(1/2), u = v, x < -1, y = -1-x, z < -1], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-2, -2], [1, 1], [-2, -2]]]], [[10, 10, 1, 4, 2], [v = 2^(1/2), u =
v, x < -1, y = -1-x, z = -1], [regular_chain, [[741455/524288, 1482911/1048576
], [741455/524288, 1482911/1048576], [-2, -2], [1, 1], [-1, -1]]]], [[10, 10,
1, 4, 3], [v = 2^(1/2), u = v, x < -1, y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-2, -2], [1, 1], [0, 0]]]], [[10, 10, 1, 4, 4], [v = 2^(1/2), u = v
, x < -1, y = -1-x, z = 1], [regular_chain, [[741455/524288, 1482911/1048576],
[741455/524288, 1482911/1048576], [-2, -2], [1, 1], [1, 1]]]], [[10, 10, 1, 4,
5], [v = 2^(1/2), u = v, x < -1, y = -1-x, 1 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-2, -2], [1, 1],
[2, 2]]]], [[11, 3, 1, 2, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 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], [-2, -2], [-3161161/2097152, -395145/
262144], [-2, -2]]]], [[11, 3, 1, 2, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)
^(1/2)), 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], [-2, -2], [-3161161/2097152, -\
395145/262144], [-735979/1048576, -1471957/2097152]]]], [[11, 3, 1, 2, 3], [2^
(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 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], [-2, -2], [-3161161/2097152, -395145/262144], [-1/
4194304, -1/4194304]]]], [[11, 3, 1, 2, 4], [2^(1/2) < v, And(-v < u,u < -(v^2
-1)^(1/2)), 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], [-2, -2], [-3161161/2097152, -\
395145/262144], [367989/524288, 735979/1048576]]]], [[11, 3, 1, 2, 5], [2^(1/2
) < v, And(-v < u,u < -(v^2-1)^(1/2)), 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], [-2,
-2], [-3161161/2097152, -395145/262144], [2, 2]]]], [[1, 11, 3, 1, 1], [v < -2
^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2
+x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [-391287/524288, -391287/524288], [-2, -2], [-2, -2]]]], [[1
, 11, 3, 1, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -
u^2+v^2-1), y < u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3
], [6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [-2,
-2], [-735979/1048576, -1471957/2097152]]]], [[1, 11, 3, 1, 3], [v < -2^(1/2),
And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2+x+1, 
And(-(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], [-2, -2]
, [-1/4194304, -1/4194304]]]], [[1, 11, 3, 1, 4], [v < -2^(1/2), And((v^2-1)^(
1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2+x+1, z = (u^2-v^2+1)
^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-\
391287/524288, -391287/524288], [-2, -2], [367989/524288, 735979/1048576]]]],
[[1, 11, 3, 1, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x
< -u^2+v^2-1), y < u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3,
-3], [6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [-2
, -2], [2, 2]]]], [[2, 1, 7, 4, 1], [v = -2^(1/2), u < v, 1 < x, y = u^2+x-1,
z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3,
-3], [2, 2], [10, 10], [-4, -4]]]], [[2, 1, 7, 4, 2], [v = -2^(1/2), u < v, 1
< x, y = u^2+x-1, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [2, 2], [10, 10], [-2965821/1048576, -11863283/
4194304]]]], [[2, 1, 7, 4, 3], [v = -2^(1/2), 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], [-3, -3], [2, 2], [10, 10], [-3/8388608, -3/8388608]]]], [[2,
1, 7, 4, 4], [v = -2^(1/2), u < v, 1 < x, y = u^2+x-1, z = (u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [2, 2], [10, 10]
, [741455/262144, 2965821/1048576]]]], [[2, 1, 7, 4, 5], [v = -2^(1/2), u < v,
1 < x, y = u^2+x-1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [2, 2], [10, 10], [4, 4]]]], [[3, 6, 4, 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, 6, 4, 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, 6,
4, 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]]]], [[4, 1, 1, 5, 1], [v = -1, u < -1, x < -u
^2, -u^2-x < y, z < u], [regular_chain, [[-1, -1], [-2, -2], [-5, -5], [2, 2],
[-3, -3]]]], [[4, 1, 1, 5, 2], [v = -1, u < -1, x < -u^2, -u^2-x < y, z = u],
[regular_chain, [[-1, -1], [-2, -2], [-5, -5], [2, 2], [-2, -2]]]], [[4, 1, 1,
5, 3], [v = -1, u < -1, x < -u^2, -u^2-x < y, And(u < z,z < -u)], [
regular_chain, [[-1, -1], [-2, -2], [-5, -5], [2, 2], [0, 0]]]], [[4, 1, 1, 5,
4], [v = -1, u < -1, x < -u^2, -u^2-x < y, z = -u], [regular_chain, [[-1, -1],
[-2, -2], [-5, -5], [2, 2], [2, 2]]]], [[4, 1, 1, 5, 5], [v = -1, u < -1, x <
-u^2, -u^2-x < y, -u < z], [regular_chain, [[-1, -1], [-2, -2], [-5, -5], [2,
2], [3, 3]]]], [[5, 5, 3, 5, 1], [And(-1 < v,v < 0), -v < u, And(-u^2+v^2-1 <
x,x < -1), u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -\
1/2], [2, 2], [-23/8, -23/8], [3, 3], [-4, -4]]]], [[5, 5, 3, 5, 2], [And(-1 <
v,v < 0), -v < u, And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, z = -(u^2-v^2+1
)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [-23/8, -23/8], [3, 3], [-\
2285319/1048576, -1142659/524288]]]], [[5, 5, 3, 5, 3], [And(-1 < v,v < 0), -v
< u, And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [2, 2], [-23/8, -23/8],
[3, 3], [0, 0]]]], [[5, 5, 3, 5, 4], [And(-1 < v,v < 0), -v < u, And(-u^2+v^2-\
1 < x,x < -1), u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2
, -1/2], [2, 2], [-23/8, -23/8], [3, 3], [1142659/524288, 2285319/1048576]]]],
[[5, 5, 3, 5, 5], [And(-1 < v,v < 0), -v < u, And(-u^2+v^2-1 < x,x < -1), u^2-
v^2+x+1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [2, 2], [-\
23/8, -23/8], [3, 3], [4, 4]]]], [[7, 1, 1, 1, 1], [And(0 < v,v < 1), 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], [-2, -2], [-6, -6], [-3, -3], [-4, -4]]]], [[7, 1, 1, 1, 2], [And(0 <
v,v < 1), 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], [-2, -2], [-6, -6], [-3, -3], [-2285319/1048576, -\
1142659/524288]]]], [[7, 1, 1, 1, 3], [And(0 < v,v < 1), 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], [-2, -2], [-6, -6], [-3, -3], [0, 0]]]], [[7, 1, 1
, 1, 4], [And(0 < v,v < 1), 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], [-2, -2], [-6, -6], [-3, -3], [
1142659/524288, 2285319/1048576]]]], [[7, 1, 1, 1, 5], [And(0 < v,v < 1), 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], [-2, -2], [-6, -6], [-3, -3], [4, 4]]]], [[9, 4, 7, 1, 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]
, [-3, -3], [-1, -1]]]], [[9, 4, 7, 1, 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], [-3, -3], [0, 0]]]], [[9
, 4, 7, 1, 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], [-3, -3], [1, 1]]]], [[9, 8, 2, 2, 1], [And(1 < v,v <
2^(1/2)), u = v, x = -1, y = 0, z < -1], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [0, 0], [-2, -\
2]]]], [[9, 8, 2, 2, 2], [And(1 < v,v < 2^(1/2)), u = v, x = -1, y = 0, z = -1
], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 
1265743/1048576], [-1, -1], [0, 0], [-1, -1]]]], [[9, 8, 2, 2, 3], [And(1 < v,
v < 2^(1/2)), u = v, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-1, -1
], [0, 0], [0, 0]]]], [[9, 8, 2, 2, 4], [And(1 < v,v < 2^(1/2)), u = v, x = -1
, y = 0, z = 1], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743
/1048576, 1265743/1048576], [-1, -1], [0, 0], [1, 1]]]], [[9, 8, 2, 2, 5], [
And(1 < v,v < 2^(1/2)), u = v, x = -1, y = 0, 1 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-1, -1
], [0, 0], [2, 2]]]], [[9, 9, 5, 5, 1], [And(1 < v,v < 2^(1/2)), v < u, And(-1
< x,x < 1), u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [0, 0], [10, 10], [-4, -4]]]], [[9,
9, 5, 5, 2], [And(1 < v,v < 2^(1/2)), v < u, And(-1 < x,x < 1), u^2-v^2+x+1 <
y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [3, 3], [0, 0], [10, 10], [-1532401/524288, -24518415/8388608]]]], [[9, 9,
5, 5, 3], [And(1 < v,v < 2^(1/2)), v < u, And(-1 < x,x < 1), u^2-v^2+x+1 < y,
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], [10, 10], [-7/16777216, -7/16777216
]]]], [[9, 9, 5, 5, 4], [And(1 < v,v < 2^(1/2)), v < u, And(-1 < x,x < 1), u^2
-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [0, 0], [10, 10], [3064801/1048576, 1532401/524288]]
]], [[9, 9, 5, 5, 5], [And(1 < v,v < 2^(1/2)), v < u, And(-1 < x,x < 1), u^2-v
^2+x+1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [3, 3], [0, 0], [10, 10], [4, 4]]]], [[10, 4, 3, 1, 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], [-2, -2], [-1, -1]]]], [[10, 4, 3, 1
, 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], [-2, -2], [0, 0]]]]
, [[10, 4, 3, 1, 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], [-2,
-2], [1, 1]]]], [[11, 9, 2, 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, 12, 4, 4, 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, 12, 4, 4, 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,
12, 4, 4, 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, 12, 4, 4, 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, 12, 4, 4, 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]]]], [[1, 1,
5, 1, 1], [v < -2^(1/2), u < v, And(-1 < x,x < 1), y < -u^2+v^2-x-1, z < -(u^2
-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4], [0, 0], [-9, -9], [-4, -4
]]]], [[1, 1, 5, 1, 2], [v < -2^(1/2), u < v, And(-1 < x,x < 1), y < -u^2+v^2-
x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4], [0, 0], [-9
, -9], [-2965821/1048576, -11863283/4194304]]]], [[1, 1, 5, 1, 3], [v < -2^(1/
2), u < v, And(-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], [-4, -4], [0, 0], [-9, -9], [-\
3/8388608, -3/8388608]]]], [[1, 1, 5, 1, 4], [v < -2^(1/2), u < v, And(-1 < x,
x < 1), y < -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
-4, -4], [0, 0], [-9, -9], [741455/262144, 2965821/1048576]]]], [[1, 1, 5, 1,
5], [v < -2^(1/2), u < v, And(-1 < x,x < 1), y < -u^2+v^2-x-1, (u^2-v^2+1)^(1/
2) < z], [regular_chain, [[-3, -3], [-4, -4], [0, 0], [-9, -9], [4, 4]]]], [[1
, 5, 2, 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]]]], [[
2, 8, 1, 2, 1], [v = -2^(1/2), u = 1, x < -1, y = x, z < 0], [regular_chain, [
[-1482911/1048576, -741455/524288], [1, 1], [-2, -2], [-2, -2], [-1, -1]]]], [
[2, 8, 1, 2, 2], [v = -2^(1/2), u = 1, x < -1, y = x, z = 0], [regular_chain,
[[-1482911/1048576, -741455/524288], [1, 1], [-2, -2], [-2, -2], [0, 0]]]], [[
2, 8, 1, 2, 3], [v = -2^(1/2), u = 1, x < -1, y = x, 0 < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [1, 1], [-2, -2], [-2, -2], [1, 1]]]], [[2
, 11, 5, 5, 1], [v = -2^(1/2), -v < u, And(-1 < x,x < 1), u^2+x-1 < y, z < -(u
^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [0,
0], [9, 9], [-4, -4]]]], [[2, 11, 5, 5, 2], [v = -2^(1/2), -v < u, And(-1 < x,
x < 1), u^2+x-1 < y, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [3, 3], [0, 0], [9, 9], [-2965821/1048576, -11863283/4194304]
]]], [[2, 11, 5, 5, 3], [v = -2^(1/2), -v < u, And(-1 < x,x < 1), u^2+x-1 < y,
And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576
, -741455/524288], [3, 3], [0, 0], [9, 9], [-3/8388608, -3/8388608]]]], [[2, 
11, 5, 5, 4], [v = -2^(1/2), -v < u, And(-1 < x,x < 1), u^2+x-1 < y, z = (u^2-\
1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [0, 0]
, [9, 9], [741455/262144, 2965821/1048576]]]], [[2, 11, 5, 5, 5], [v = -2^(1/2
), -v < u, And(-1 < x,x < 1), u^2+x-1 < y, (u^2-1)^(1/2) < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [3, 3], [0, 0], [9, 9], [4, 4]]]], [[4, 2
, 3, 3, 1], [v = -1, u = -1, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z < -1]
, [regular_chain, [[-1, -1], [-1, -1], [0, 0], [0, 0], [-2, -2]]]], [[4, 2, 3,
3, 2], [v = -1, u = -1, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z = -1], [
regular_chain, [[-1, -1], [-1, -1], [0, 0], [0, 0], [-1, -1]]]], [[4, 2, 3, 3,
3], [v = -1, u = -1, And(-1 < x,x < 1), And(-1-x < y,y < x+1), And(-1 < z,z <
1)], [regular_chain, [[-1, -1], [-1, -1], [0, 0], [0, 0], [0, 0]]]], [[4, 2, 3
, 3, 4], [v = -1, u = -1, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z = 1], [
regular_chain, [[-1, -1], [-1, -1], [0, 0], [0, 0], [1, 1]]]], [[4, 2, 3, 3, 5
], [v = -1, u = -1, And(-1 < x,x < 1), And(-1-x < y,y < x+1), 1 < z], [
regular_chain, [[-1, -1], [-1, -1], [0, 0], [0, 0], [2, 2]]]], [[4, 5, 7, 4, 1
], [v = -1, And(0 < u,u < 1), 1 < x, y = u^2+x, z < -u], [regular_chain, [[-1,
-1], [1/2, 1/2], [2, 2], [9/4, 9/4], [-2, -2]]]], [[4, 5, 7, 4, 2], [v = -1, 
And(0 < u,u < 1), 1 < x, y = u^2+x, z = -u], [regular_chain, [[-1, -1], [1/2,
1/2], [2, 2], [9/4, 9/4], [-1/2, -1/2]]]], [[4, 5, 7, 4, 3], [v = -1, And(0 <
u,u < 1), 1 < x, y = u^2+x, And(-u < z,z < u)], [regular_chain, [[-1, -1], [1/
2, 1/2], [2, 2], [9/4, 9/4], [0, 0]]]], [[4, 5, 7, 4, 4], [v = -1, And(0 < u,u
< 1), 1 < x, y = u^2+x, z = u], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2],
[9/4, 9/4], [1/2, 1/2]]]], [[4, 5, 7, 4, 5], [v = -1, And(0 < u,u < 1), 1 < x,
y = u^2+x, u < z], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [9/4, 9/4],
[2, 2]]]], [[8, 2, 1, 4, 1], [v = 1, u = -1, x < -1, y = -1-x, z < -1], [
regular_chain, [[1, 1], [-1, -1], [-2, -2], [1, 1], [-2, -2]]]], [[8, 2, 1, 4,
2], [v = 1, u = -1, x < -1, y = -1-x, z = -1], [regular_chain, [[1, 1], [-1, -\
1], [-2, -2], [1, 1], [-1, -1]]]], [[8, 2, 1, 4, 3], [v = 1, u = -1, x < -1, y
= -1-x, And(-1 < z,z < 1)], [regular_chain, [[1, 1], [-1, -1], [-2, -2], [1, 1
], [0, 0]]]], [[8, 2, 1, 4, 4], [v = 1, u = -1, x < -1, y = -1-x, z = 1], [
regular_chain, [[1, 1], [-1, -1], [-2, -2], [1, 1], [1, 1]]]], [[8, 2, 1, 4, 5
], [v = 1, u = -1, x < -1, y = -1-x, 1 < z], [regular_chain, [[1, 1], [-1, -1]
, [-2, -2], [1, 1], [2, 2]]]], [[8, 5, 6, 2, 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, 5, 6, 2, 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, 5, 6, 2, 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, 5, 6, 2, 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,
5, 6, 2, 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]]]], [[10, 10,
1, 5, 1], [v = 2^(1/2), u = v, x < -1, -1-x < y, z < -1], [regular_chain, [[
741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-2, -2], [
2, 2], [-2, -2]]]], [[10, 10, 1, 5, 2], [v = 2^(1/2), u = v, x < -1, -1-x < y,
z = -1], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 
1482911/1048576], [-2, -2], [2, 2], [-1, -1]]]], [[10, 10, 1, 5, 3], [v = 2^(1
/2), u = v, x < -1, -1-x < y, And(-1 < z,z < 1)], [regular_chain, [[741455/
524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-2, -2], [2, 2],
[0, 0]]]], [[10, 10, 1, 5, 4], [v = 2^(1/2), u = v, x < -1, -1-x < y, z = 1],
[regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-2, -2], [2, 2], [1, 1]]]], [[10, 10, 1, 5, 5], [v = 2^(1/2), u = v
, x < -1, -1-x < y, 1 < z], [regular_chain, [[741455/524288, 1482911/1048576],
[741455/524288, 1482911/1048576], [-2, -2], [2, 2], [2, 2]]]], [[11, 3, 1, 3,
1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < -1, And(u^2-v^2+x+1 < y,
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], [0, 0], [-2, -2]]]], [[11, 3, 1, 3, 2],
[2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < -1, And(u^2-v^2+x+1 < y,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], [0, 0], [-735979/1048576, -1471957/
2097152]]]], [[11, 3, 1, 3, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
x < -1, And(u^2-v^2+x+1 < y,y < -u^2+v^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], [0, 0], [-1/4194304, -1/4194304]]]], [[11, 3, 1, 3, 4], [2
^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < -1, And(u^2-v^2+x+1 < y,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], [0, 0], [367989/524288, 735979/1048576]]
]], [[11, 3, 1, 3, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < -1, 
And(u^2-v^2+x+1 < y,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], [0, 0], [2, 2]]]], [[
1, 11, 2, 3, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, And(u^2
-v^2 < y,y < -u^2+v^2), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-1, -1], [0, 0], [-2, -2]]]], [[1, 11, 2,
3, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, And(u^2-v^2 < y,y
< -u^2+v^2), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-1, -1], [0, 0], [-735979/1048576, -1471957/
2097152]]]], [[1, 11, 2, 3, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
x = -1, And(u^2-v^2 < y,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], [0, 0], [-1/4194304, -1/4194304]]]], [[1, 11, 2, 3, 4], [v < -2^(1/2),
And((v^2-1)^(1/2) < u,u < -v), x = -1, And(u^2-v^2 < y,y < -u^2+v^2), z = (u^2
-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152],
[-1, -1], [0, 0], [367989/524288, 735979/1048576]]]], [[1, 11, 2, 3, 5], [v <
-2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, And(u^2-v^2 < y,y < -u^2+v^2)
, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549
/2097152], [-1, -1], [0, 0], [2, 2]]]], [[2, 1, 7, 5, 1], [v = -2^(1/2), u < v
, 1 < x, u^2+x-1 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-3, -3], [2, 2], [11, 11], [-4, -4]]]], [[2, 1, 7, 5, 2], [v
= -2^(1/2), u < v, 1 < x, u^2+x-1 < y, z = -(u^2-1)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [-3, -3], [2, 2], [11, 11], [-2965821/
1048576, -11863283/4194304]]]], [[2, 1, 7, 5, 3], [v = -2^(1/2), u < v, 1 < x,
u^2+x-1 < y, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [2, 2], [11, 11], [-3/8388608, -3/
8388608]]]], [[2, 1, 7, 5, 4], [v = -2^(1/2), u < v, 1 < x, u^2+x-1 < y, z = (
u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3],
[2, 2], [11, 11], [741455/262144, 2965821/1048576]]]], [[2, 1, 7, 5, 5], [v =
-2^(1/2), u < v, 1 < x, u^2+x-1 < y, (u^2-1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [2, 2], [11, 11], [4, 4]]]], [[3,
6, 4, 1, 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], [-1, -1], [-1, -1]]]], [[3, 6, 4, 1, 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], [
-1, -1], [0, 0]]]], [[3, 6, 4, 1, 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], [-1, -1], [1, 1]]]], [[4, 1
, 2, 3, 1], [v = -1, u < -1, x = -u^2, 0 < y, z < u], [regular_chain, [[-1, -1
], [-2, -2], [-4, -4], [1, 1], [-3, -3]]]], [[4, 1, 2, 3, 2], [v = -1, u < -1,
x = -u^2, 0 < y, z = u], [regular_chain, [[-1, -1], [-2, -2], [-4, -4], [1, 1]
, [-2, -2]]]], [[4, 1, 2, 3, 3], [v = -1, u < -1, x = -u^2, 0 < y, And(u < z,z
< -u)], [regular_chain, [[-1, -1], [-2, -2], [-4, -4], [1, 1], [0, 0]]]], [[4,
1, 2, 3, 4], [v = -1, u < -1, x = -u^2, 0 < y, z = -u], [regular_chain, [[-1,
-1], [-2, -2], [-4, -4], [1, 1], [2, 2]]]], [[4, 1, 2, 3, 5], [v = -1, u < -1,
x = -u^2, 0 < y, -u < z], [regular_chain, [[-1, -1], [-2, -2], [-4, -4], [1, 1
], [3, 3]]]], [[5, 5, 3, 2, 1], [And(-1 < v,v < 0), -v < 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], [2, 2], [-23/8, -23/8], [-15/8, -15/8], [-4, -4]]]], [[5, 5, 3, 2, 2], [
And(-1 < v,v < 0), -v < 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], [2, 2], [-23/8, -23/8], [-\
15/8, -15/8], [-2285319/1048576, -1142659/524288]]]], [[5, 5, 3, 2, 3], [And(-\
1 < v,v < 0), -v < 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], [2, 2
], [-23/8, -23/8], [-15/8, -15/8], [0, 0]]]], [[5, 5, 3, 2, 4], [And(-1 < v,v
< 0), -v < 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], [2, 2], [-23/8, -23/8], [-15/8, -15/8], [
1142659/524288, 2285319/1048576]]]], [[5, 5, 3, 2, 5], [And(-1 < v,v < 0), -v
< 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], [2, 2], [-23/8, -23/8], [-15/8, -15/8], [4, 4]]]
], [[7, 1, 1, 2, 1], [And(0 < v,v < 1), 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], [-2, -2], [-6, -6], [
-5/4, -5/4], [-4, -4]]]], [[7, 1, 1, 2, 2], [And(0 < v,v < 1), 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]
, [-2, -2], [-6, -6], [-5/4, -5/4], [-2285319/1048576, -1142659/524288]]]], [[
7, 1, 1, 2, 3], [And(0 < v,v < 1), 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
], [-2, -2], [-6, -6], [-5/4, -5/4], [0, 0]]]], [[7, 1, 1, 2, 4], [And(0 < v,v
< 1), 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], [-2, -2], [-6, -6], [-5/4, -5/4], [1142659/524288,
2285319/1048576]]]], [[7, 1, 1, 2, 5], [And(0 < v,v < 1), 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], [-2,
-2], [-6, -6], [-5/4, -5/4], [4, 4]]]], [[9, 4, 6, 5, 1], [And(1 < v,v < 2^(1/
2)), u = -(v^2-1)^(1/2), x = 1, 1 < y, z < 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [1, 1], [2, 2],
[-1, -1]]]], [[9, 4, 6, 5, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x
= 1, 1 < y, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1417877/2097152, -354469/524288], [1, 1], [2, 2], [0, 0]]]], [[9, 4, 6, 5, 3],
[And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 1, 1 < y, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [1, 1], [2, 2], [1, 1]]]], [[9, 8, 3, 2, 1], [And(1 < v,v < 2^(1/2))
, u = v, And(-1 < x,x < 1), y = -1-x, z < -1], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [-1, -1
], [-2, -2]]]], [[9, 8, 3, 2, 2], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x
< 1), y = -1-x, z = -1], [regular_chain, [[1265743/1048576, 1265743/1048576],
[1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [-1, -1]]]], [[9, 8, 3,
2, 3], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 1), y = -1-x, And(-1 < z
,z < 1)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [0, 0], [-1, -1], [0, 0]]]], [[9, 8, 3, 2, 4], [And
(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 1), y = -1-x, z = 1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [0, 0], [-1, -1], [1, 1]]]], [[9, 8, 3, 2, 5], [And(1 < v,v < 2^(1/2
)), u = v, And(-1 < x,x < 1), y = -1-x, 1 < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [-1, -1
], [2, 2]]]], [[9, 9, 5, 2, 1], [And(1 < v,v < 2^(1/2)), v < u, And(-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], [0, 0], [-4478937/524288, -8957873/1048576]
, [-4, -4]]]], [[9, 9, 5, 2, 2], [And(1 < v,v < 2^(1/2)), v < u, And(-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], [0, 0], [-4478937/524288, -8957873/1048576]
, [-1532401/524288, -24518415/8388608]]]], [[9, 9, 5, 2, 3], [And(1 < v,v < 2^
(1/2)), v < u, And(-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], [0, 0], [-4478937/524288, -8957873/1048576], [-7/16777216, -7/16777216
]]]], [[9, 9, 5, 2, 4], [And(1 < v,v < 2^(1/2)), v < u, And(-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], [0, 0], [-4478937/524288, -8957873/1048576], [
3064801/1048576, 1532401/524288]]]], [[9, 9, 5, 2, 5], [And(1 < v,v < 2^(1/2))
, v < u, And(-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], [0, 0], [-4478937/
524288, -8957873/1048576], [4, 4]]]], [[10, 4, 3, 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, 4, 3, 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, 4, 3, 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]]]], [[11, 9, 1, 5, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), x < -1, -u^2+v^2-x-1 < y, z = z], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [-2, -2], [4, 4], [0, 0]]]], [[11, 12, 5, 2,
1], [2^(1/2) < v, u = v, 1 < x, y = -1-x, z < -1], [regular_chain, [[3, 3], [3
, 3], [2, 2], [-3, -3], [-2, -2]]]], [[11, 12, 5, 2, 2], [2^(1/2) < v, u = v,
1 < x, y = -1-x, z = -1], [regular_chain, [[3, 3], [3, 3], [2, 2], [-3, -3], [
-1, -1]]]], [[11, 12, 5, 2, 3], [2^(1/2) < v, u = v, 1 < x, y = -1-x, And(-1 <
z,z < 1)], [regular_chain, [[3, 3], [3, 3], [2, 2], [-3, -3], [0, 0]]]], [[11,
12, 5, 2, 4], [2^(1/2) < v, u = v, 1 < x, y = -1-x, z = 1], [regular_chain, [[
3, 3], [3, 3], [2, 2], [-3, -3], [1, 1]]]], [[11, 12, 5, 2, 5], [2^(1/2) < v,
u = v, 1 < x, y = -1-x, 1 < z], [regular_chain, [[3, 3], [3, 3], [2, 2], [-3,
-3], [2, 2]]]], [[1, 1, 4, 3, 1], [v < -2^(1/2), u < v, x = -1, And(-u^2+v^2 <
y,y < u^2-v^2), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4],
[-1, -1], [0, 0], [-4, -4]]]], [[1, 1, 4, 3, 2], [v < -2^(1/2), u < v, x = -1,
And(-u^2+v^2 < y,y < u^2-v^2), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3,
-3], [-4, -4], [-1, -1], [0, 0], [-2965821/1048576, -11863283/4194304]]]], [[1
, 1, 4, 3, 3], [v < -2^(1/2), u < v, x = -1, And(-u^2+v^2 < y,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],
[-4, -4], [-1, -1], [0, 0], [-3/8388608, -3/8388608]]]], [[1, 1, 4, 3, 4], [v
< -2^(1/2), u < v, x = -1, And(-u^2+v^2 < y,y < u^2-v^2), z = (u^2-v^2+1)^(1/2
)], [regular_chain, [[-3, -3], [-4, -4], [-1, -1], [0, 0], [741455/262144, 
2965821/1048576]]]], [[1, 1, 4, 3, 5], [v < -2^(1/2), u < v, x = -1, And(-u^2+
v^2 < y,y < u^2-v^2), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-4,
-4], [-1, -1], [0, 0], [4, 4]]]], [[1, 5, 2, 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 < -u^2+v^2), z = z]
, [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1, -1],
[-1/4194304, -1/4194304], [0, 0]]]], [[2, 8, 1, 1, 1], [v = -2^(1/2), u = 1, x
< -1, y < x, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [1,
1], [-2, -2], [-3, -3], [-1, -1]]]], [[2, 8, 1, 1, 2], [v = -2^(1/2), u = 1, x
< -1, y < x, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [1,
1], [-2, -2], [-3, -3], [0, 0]]]], [[2, 8, 1, 1, 3], [v = -2^(1/2), u = 1, x <
-1, y < x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1]
, [-2, -2], [-3, -3], [1, 1]]]], [[2, 11, 6, 3, 1], [v = -2^(1/2), -v < u, x =
1, And(-u^2 < y,y < u^2), z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [1, 1], [0, 0], [-4, -4]]]], [[2, 11, 6, 3,
2], [v = -2^(1/2), -v < u, x = 1, And(-u^2 < y,y < u^2), z = -(u^2-1)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [1, 1], [0, 0], [
-2965821/1048576, -11863283/4194304]]]], [[2, 11, 6, 3, 3], [v = -2^(1/2), -v
< u, x = 1, And(-u^2 < y,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], [0, 0], [
-3/8388608, -3/8388608]]]], [[2, 11, 6, 3, 4], [v = -2^(1/2), -v < u, x = 1, 
And(-u^2 < y,y < u^2), z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [3, 3], [1, 1], [0, 0], [741455/262144, 2965821/1048576]]]],
[[2, 11, 6, 3, 5], [v = -2^(1/2), -v < u, x = 1, And(-u^2 < y,y < u^2), (u^2-1
)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [1,
1], [0, 0], [4, 4]]]], [[4, 2, 2, 3, 1], [v = -1, u = -1, x = -1, 0 < y, z < -\
1], [regular_chain, [[-1, -1], [-1, -1], [-1, -1], [1, 1], [-2, -2]]]], [[4, 2
, 2, 3, 2], [v = -1, u = -1, x = -1, 0 < y, z = -1], [regular_chain, [[-1, -1]
, [-1, -1], [-1, -1], [1, 1], [-1, -1]]]], [[4, 2, 2, 3, 3], [v = -1, u = -1,
x = -1, 0 < y, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [-1, -1], [-1, -\
1], [1, 1], [0, 0]]]], [[4, 2, 2, 3, 4], [v = -1, u = -1, x = -1, 0 < y, z = 1
], [regular_chain, [[-1, -1], [-1, -1], [-1, -1], [1, 1], [1, 1]]]], [[4, 2, 2
, 3, 5], [v = -1, u = -1, x = -1, 0 < y, 1 < z], [regular_chain, [[-1, -1], [-\
1, -1], [-1, -1], [1, 1], [2, 2]]]], [[4, 5, 7, 5, 1], [v = -1, And(0 < u,u <
1), 1 < x, u^2+x < y, z < -u], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2],
[4, 4], [-2, -2]]]], [[4, 5, 7, 5, 2], [v = -1, And(0 < u,u < 1), 1 < x, u^2+x
< y, z = -u], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [4, 4], [-1/2, -1
/2]]]], [[4, 5, 7, 5, 3], [v = -1, And(0 < u,u < 1), 1 < x, u^2+x < y, And(-u
< z,z < u)], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [4, 4], [0, 0]]]],
[[4, 5, 7, 5, 4], [v = -1, And(0 < u,u < 1), 1 < x, u^2+x < y, z = u], [
regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [4, 4], [1/2, 1/2]]]], [[4, 5, 7
, 5, 5], [v = -1, And(0 < u,u < 1), 1 < x, u^2+x < y, u < z], [regular_chain,
[[-1, -1], [1/2, 1/2], [2, 2], [4, 4], [2, 2]]]], [[8, 2, 1, 3, 1], [v = 1, u
= -1, x < -1, And(x+1 < y,y < -1-x), z < -1], [regular_chain, [[1, 1], [-1, -1
], [-2, -2], [0, 0], [-2, -2]]]], [[8, 2, 1, 3, 2], [v = 1, u = -1, x < -1, 
And(x+1 < y,y < -1-x), z = -1], [regular_chain, [[1, 1], [-1, -1], [-2, -2], [
0, 0], [-1, -1]]]], [[8, 2, 1, 3, 3], [v = 1, u = -1, x < -1, And(x+1 < y,y <
-1-x), And(-1 < z,z < 1)], [regular_chain, [[1, 1], [-1, -1], [-2, -2], [0, 0]
, [0, 0]]]], [[8, 2, 1, 3, 4], [v = 1, u = -1, x < -1, And(x+1 < y,y < -1-x),
z = 1], [regular_chain, [[1, 1], [-1, -1], [-2, -2], [0, 0], [1, 1]]]], [[8, 2
, 1, 3, 5], [v = 1, u = -1, x < -1, And(x+1 < y,y < -1-x), 1 < z], [
regular_chain, [[1, 1], [-1, -1], [-2, -2], [0, 0], [2, 2]]]], [[8, 5, 6, 5, 1
], [v = 1, And(0 < u,u < 1), x = 1, u^2+1 < y, z < -u], [regular_chain, [[1, 1
], [1/2, 1/2], [1, 1], [3, 3], [-2, -2]]]], [[8, 5, 6, 5, 2], [v = 1, And(0 <
u,u < 1), x = 1, u^2+1 < y, z = -u], [regular_chain, [[1, 1], [1/2, 1/2], [1,
1], [3, 3], [-1/2, -1/2]]]], [[8, 5, 6, 5, 3], [v = 1, And(0 < u,u < 1), x = 1
, u^2+1 < y, And(-u < z,z < u)], [regular_chain, [[1, 1], [1/2, 1/2], [1, 1],
[3, 3], [0, 0]]]], [[8, 5, 6, 5, 4], [v = 1, And(0 < u,u < 1), x = 1, u^2+1 <
y, z = u], [regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [3, 3], [1/2, 1/2]]]],
[[8, 5, 6, 5, 5], [v = 1, And(0 < u,u < 1), x = 1, u^2+1 < y, u < z], [
regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [3, 3], [2, 2]]]], [[10, 10, 1, 2,
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, 10, 1, 2, 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, 10, 1, 2, 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, 10, 1, 2, 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, 10, 1, 2, 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, 3, 1, 4
, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 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], [-2, -2], [395145/262144, 1580581/1048576], [-2, -2]]]], [[11, 3, 1,
4, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 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], [-2, -2], [395145/262144, 1580581/1048576], [-735979/1048576, -\
1471957/2097152]]]], [[11, 3, 1, 4, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^
(1/2)), 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], [-2, -2
], [395145/262144, 1580581/1048576], [-1/4194304, -1/4194304]]]], [[11, 3, 1,
4, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 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], [-2, -2], [395145/262144, 1580581/1048576], [367989/524288, 735979/
1048576]]]], [[11, 3, 1, 4, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
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], [-2, -2], [395145/262144, 1580581/1048576]
, [2, 2]]]], [[1, 11, 2, 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], [133001/262144, 532005/1048576],
[-2, -2]]]], [[1, 11, 2, 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], [133001/262144, 532005/1048576],
[-735979/1048576, -1471957/2097152]]]], [[1, 11, 2, 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], [133001/262144, 532005/1048576], [-1/4194304, -1/4194304]]
]], [[1, 11, 2, 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], [133001/262144, 532005/1048576], [367989/
524288, 735979/1048576]]]], [[1, 11, 2, 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], [133001/262144, 532005
/1048576], [2, 2]]]], [[2, 2, 1, 1, 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], [-2, -2], [-2, -2]]]], [[2, 2, 1, 1, 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], [-2, -\
2], [-1, -1]]]], [[2, 2, 1, 1, 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], [-2, -2], [0, 0]]]], [[2, 2, 1, 1, 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], [-2, -2], [1,
1]]]], [[2, 2, 1, 1, 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], [-2, -2], [2, 2]]]], [[3, 6, 3, 5, 1], [And(-2^(1/2) < v,v
< -1), u = (v^2-1)^(1/2), And(-1 < x,x < 0), -x < y, z < 0], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-1/2,
-1/2], [2, 2], [-1, -1]]]], [[3, 6, 3, 5, 2], [And(-2^(1/2) < v,v < -1), u = (
v^2-1)^(1/2), And(-1 < x,x < 0), -x < y, z = 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-1/2, -1/2], [2,
2], [0, 0]]]], [[3, 6, 3, 5, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2),
And(-1 < x,x < 0), -x < y, 0 < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [-1/2, -1/2], [2, 2], [1, 1
]]]], [[4, 1, 2, 2, 1], [v = -1, u < -1, x = -u^2, y = 0, z < u], [
regular_chain, [[-1, -1], [-2, -2], [-4, -4], [0, 0], [-3, -3]]]], [[4, 1, 2,
2, 2], [v = -1, u < -1, x = -u^2, y = 0, z = u], [regular_chain, [[-1, -1], [-\
2, -2], [-4, -4], [0, 0], [-2, -2]]]], [[4, 1, 2, 2, 3], [v = -1, u < -1, x =
-u^2, y = 0, And(u < z,z < -u)], [regular_chain, [[-1, -1], [-2, -2], [-4, -4]
, [0, 0], [0, 0]]]], [[4, 1, 2, 2, 4], [v = -1, u < -1, x = -u^2, y = 0, z = -
u], [regular_chain, [[-1, -1], [-2, -2], [-4, -4], [0, 0], [2, 2]]]], [[4, 1,
2, 2, 5], [v = -1, u < -1, x = -u^2, y = 0, -u < z], [regular_chain, [[-1, -1]
, [-2, -2], [-4, -4], [0, 0], [3, 3]]]], [[5, 5, 3, 3, 1], [And(-1 < v,v < 0),
-v < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [-23/8, -23/8], [0
, 0], [-4, -4]]]], [[5, 5, 3, 3, 2], [And(-1 < v,v < 0), -v < u, And(-u^2+v^2-\
1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)],
[regular_chain, [[-1/2, -1/2], [2, 2], [-23/8, -23/8], [0, 0], [-2285319/
1048576, -1142659/524288]]]], [[5, 5, 3, 3, 3], [And(-1 < v,v < 0), -v < u, 
And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^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], [2, 2]
, [-23/8, -23/8], [0, 0], [0, 0]]]], [[5, 5, 3, 3, 4], [And(-1 < v,v < 0), -v
< u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u
^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [-23/8, -23/8], [0, 0
], [1142659/524288, 2285319/1048576]]]], [[5, 5, 3, 3, 5], [And(-1 < v,v < 0),
-v < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^
2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [2, 2], [-23/8, -23/8], [0
, 0], [4, 4]]]], [[7, 1, 1, 3, 1], [And(0 < v,v < 1), u < -v, x < -u^2+v^2-1,
And(u^2-v^2+x+1 < y,y < -u^2+v^2-x-1), z < -(u^2-v^2+1)^(1/2)], [regular_chain
, [[1/2, 1/2], [-2, -2], [-6, -6], [0, 0], [-4, -4]]]], [[7, 1, 1, 3, 2], [And
(0 < v,v < 1), u < -v, x < -u^2+v^2-1, And(u^2-v^2+x+1 < y,y < -u^2+v^2-x-1),
z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2], [-6, -6], [0,
0], [-2285319/1048576, -1142659/524288]]]], [[7, 1, 1, 3, 3], [And(0 < v,v < 1
), u < -v, x < -u^2+v^2-1, And(u^2-v^2+x+1 < y,y < -u^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], [-2, -2],
[-6, -6], [0, 0], [0, 0]]]], [[7, 1, 1, 3, 4], [And(0 < v,v < 1), u < -v, x <
-u^2+v^2-1, And(u^2-v^2+x+1 < y,y < -u^2+v^2-x-1), z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-2, -2], [-6, -6], [0, 0], [1142659/524288, 
2285319/1048576]]]], [[7, 1, 1, 3, 5], [And(0 < v,v < 1), u < -v, x < -u^2+v^2
-1, And(u^2-v^2+x+1 < y,y < -u^2+v^2-x-1), (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-2, -2], [-6, -6], [0, 0], [4, 4]]]], [[9, 4, 6,
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, 4, 6, 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, 4, 6, 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, 8, 3, 1, 1],
[And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 1), y < -1-x, z < -1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [0, 0], [-2, -2], [-2, -2]]]], [[9, 8, 3, 1, 2], [And(1 < v,v < 2^(1
/2)), u = v, And(-1 < x,x < 1), y < -1-x, z = -1], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [-2, -2
], [-1, -1]]]], [[9, 8, 3, 1, 3], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x
< 1), y < -1-x, And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [-2, -2], [0, 0]]]], [[
9, 8, 3, 1, 4], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 1), y < -1-x, z
= 1], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 
1265743/1048576], [0, 0], [-2, -2], [1, 1]]]], [[9, 8, 3, 1, 5], [And(1 < v,v
< 2^(1/2)), u = v, And(-1 < x,x < 1), y < -1-x, 1 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0],
[-2, -2], [2, 2]]]], [[9, 9, 5, 3, 1], [And(1 < v,v < 2^(1/2)), v < u, And(-1
< x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [0, 0], [0, 0], [-\
4, -4]]]], [[9, 9, 5, 3, 2], [And(1 < v,v < 2^(1/2)), v < u, And(-1 < x,x < 1)
, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [0, 0], [0, 0], [-\
1532401/524288, -24518415/8388608]]]], [[9, 9, 5, 3, 3], [And(1 < v,v < 2^(1/2
)), v < u, And(-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^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], [0, 0], [0, 0], [-7/16777216, -7/16777216]]]], [[9,
9, 5, 3, 4], [And(1 < v,v < 2^(1/2)), v < u, And(-1 < x,x < 1), And(-u^2+v^2-x
-1 < y,y < u^2-v^2+x+1), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [0, 0], [0, 0], [3064801/1048576, 1532401/
524288]]]], [[9, 9, 5, 3, 5], [And(1 < v,v < 2^(1/2)), v < u, And(-1 < x,x < 1
), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [0, 0], [0, 0], [4
, 4]]]], [[10, 4, 3, 3, 1], [v = 2^(1/2), u = -1, And(-1 < x,x < 0), And(x < y
,y < -x), z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1],
[-1/2, -1/2], [0, 0], [-1, -1]]]], [[10, 4, 3, 3, 2], [v = 2^(1/2), u = -1, 
And(-1 < x,x < 0), And(x < y,y < -x), z = 0], [regular_chain, [[741455/524288,
1482911/1048576], [-1, -1], [-1/2, -1/2], [0, 0], [0, 0]]]], [[10, 4, 3, 3, 3]
, [v = 2^(1/2), u = -1, And(-1 < x,x < 0), And(x < y,y < -x), 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1/2, -1/2], [0,
0], [1, 1]]]], [[11, 9, 1, 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-x-1, z = z], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [-2, -2], [657547/262144, 2630189/1048576], [
0, 0]]]], [[11, 12, 5, 1, 1], [2^(1/2) < v, u = v, 1 < x, y < -1-x, z < -1], [
regular_chain, [[3, 3], [3, 3], [2, 2], [-4, -4], [-2, -2]]]], [[11, 12, 5, 1,
2], [2^(1/2) < v, u = v, 1 < x, y < -1-x, z = -1], [regular_chain, [[3, 3], [3
, 3], [2, 2], [-4, -4], [-1, -1]]]], [[11, 12, 5, 1, 3], [2^(1/2) < v, u = v,
1 < x, y < -1-x, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [3, 3], [2, 2],
[-4, -4], [0, 0]]]], [[11, 12, 5, 1, 4], [2^(1/2) < v, u = v, 1 < x, y < -1-x,
z = 1], [regular_chain, [[3, 3], [3, 3], [2, 2], [-4, -4], [1, 1]]]], [[11, 12
, 5, 1, 5], [2^(1/2) < v, u = v, 1 < x, y < -1-x, 1 < z], [regular_chain, [[3,
3], [3, 3], [2, 2], [-4, -4], [2, 2]]]], [[1, 1, 4, 4, 1], [v < -2^(1/2), u <
v, x = -1, y = u^2-v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
4, -4], [-1, -1], [7, 7], [-4, -4]]]], [[1, 1, 4, 4, 2], [v < -2^(1/2), u < v,
x = -1, y = u^2-v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4,
-4], [-1, -1], [7, 7], [-2965821/1048576, -11863283/4194304]]]], [[1, 1, 4, 4,
3], [v < -2^(1/2), 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], [-4, -4], [-1, -1], [7, 7], [-\
3/8388608, -3/8388608]]]], [[1, 1, 4, 4, 4], [v < -2^(1/2), u < v, x = -1, y =
u^2-v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4], [-1, -1]
, [7, 7], [741455/262144, 2965821/1048576]]]], [[1, 1, 4, 4, 5], [v < -2^(1/2)
, u < v, x = -1, y = u^2-v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3
], [-4, -4], [-1, -1], [7, 7], [4, 4]]]], [[1, 5, 2, 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, z = z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1, -1], [
1581611/1048576, 395403/262144], [0, 0]]]], [[2, 7, 7, 5, 1], [v = -2^(1/2), 
And(0 < u,u < 1), 1 < x, u^2+x-1 < y, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [2, 2], [3, 3], [0, 0]]]], [[2, 11, 6, 2
, 1], [v = -2^(1/2), -v < 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, 11, 6, 2, 2], [v = -2^(1/2), -v < 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, 11, 6, 2, 3], [
v = -2^(1/2), -v < 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, 11, 6, 2, 4], [v = -2^(1/2), -v < 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,
11, 6, 2, 5], [v = -2^(1/2), -v < 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]]]], [[4, 2, 3, 1, 1], [v = -1, u = -1, And(-1 < x,x < 1), y < -1-x, z <
-1], [regular_chain, [[-1, -1], [-1, -1], [0, 0], [-2, -2], [-2, -2]]]], [[4,
2, 3, 1, 2], [v = -1, u = -1, And(-1 < x,x < 1), y < -1-x, z = -1], [
regular_chain, [[-1, -1], [-1, -1], [0, 0], [-2, -2], [-1, -1]]]], [[4, 2, 3,
1, 3], [v = -1, u = -1, And(-1 < x,x < 1), y < -1-x, And(-1 < z,z < 1)], [
regular_chain, [[-1, -1], [-1, -1], [0, 0], [-2, -2], [0, 0]]]], [[4, 2, 3, 1,
4], [v = -1, u = -1, And(-1 < x,x < 1), y < -1-x, z = 1], [regular_chain, [[-1
, -1], [-1, -1], [0, 0], [-2, -2], [1, 1]]]], [[4, 2, 3, 1, 5], [v = -1, u = -\
1, And(-1 < x,x < 1), y < -1-x, 1 < z], [regular_chain, [[-1, -1], [-1, -1], [
0, 0], [-2, -2], [2, 2]]]], [[4, 6, 1, 1, 1], [v = -1, u = 1, x < -1, y < x+1,
z < -1], [regular_chain, [[-1, -1], [1, 1], [-2, -2], [-2, -2], [-2, -2]]]], [
[4, 6, 1, 1, 2], [v = -1, u = 1, x < -1, y < x+1, z = -1], [regular_chain, [[-\
1, -1], [1, 1], [-2, -2], [-2, -2], [-1, -1]]]], [[4, 6, 1, 1, 3], [v = -1, u
= 1, x < -1, y < x+1, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [1, 1], [
-2, -2], [-2, -2], [0, 0]]]], [[4, 6, 1, 1, 4], [v = -1, u = 1, x < -1, y < x+
1, z = 1], [regular_chain, [[-1, -1], [1, 1], [-2, -2], [-2, -2], [1, 1]]]], [
[4, 6, 1, 1, 5], [v = -1, u = 1, x < -1, y < x+1, 1 < z], [regular_chain, [[-1
, -1], [1, 1], [-2, -2], [-2, -2], [2, 2]]]], [[8, 2, 1, 2, 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, 2, 1, 2, 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, 2, 1,
2, 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, 2, 1, 2, 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, 2, 1, 2, 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, 5, 6, 4,
1], [v = 1, And(0 < u,u < 1), x = 1, y = u^2+1, z < -u], [regular_chain, [[1,
1], [1/2, 1/2], [1, 1], [5/4, 5/4], [-2, -2]]]], [[8, 5, 6, 4, 2], [v = 1, And
(0 < u,u < 1), x = 1, y = u^2+1, z = -u], [regular_chain, [[1, 1], [1/2, 1/2],
[1, 1], [5/4, 5/4], [-1/2, -1/2]]]], [[8, 5, 6, 4, 3], [v = 1, And(0 < u,u < 1
), x = 1, y = u^2+1, And(-u < z,z < u)], [regular_chain, [[1, 1], [1/2, 1/2],
[1, 1], [5/4, 5/4], [0, 0]]]], [[8, 5, 6, 4, 4], [v = 1, And(0 < u,u < 1), x =
1, y = u^2+1, z = u], [regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [5/4, 5/4],
[1/2, 1/2]]]], [[8, 5, 6, 4, 5], [v = 1, And(0 < u,u < 1), x = 1, y = u^2+1, u
< z], [regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [5/4, 5/4], [2, 2]]]], [[10
, 10, 1, 3, 1], [v = 2^(1/2), u = v, x < -1, And(x+1 < y,y < -1-x), z < -1], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-2, -2], [0, 0], [-2, -2]]]], [[10, 10, 1, 3, 2], [v = 2^(1/2), u =
v, x < -1, And(x+1 < y,y < -1-x), z = -1], [regular_chain, [[741455/524288, 
1482911/1048576], [741455/524288, 1482911/1048576], [-2, -2], [0, 0], [-1, -1]
]]], [[10, 10, 1, 3, 3], [v = 2^(1/2), u = v, x < -1, And(x+1 < y,y < -1-x), 
And(-1 < z,z < 1)], [regular_chain, [[741455/524288, 1482911/1048576], [741455
/524288, 1482911/1048576], [-2, -2], [0, 0], [0, 0]]]], [[10, 10, 1, 3, 4], [v
= 2^(1/2), u = v, x < -1, And(x+1 < y,y < -1-x), z = 1], [regular_chain, [[
741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-2, -2], [
0, 0], [1, 1]]]], [[10, 10, 1, 3, 5], [v = 2^(1/2), u = v, x < -1, And(x+1 < y
,y < -1-x), 1 < z], [regular_chain, [[741455/524288, 1482911/1048576], [741455
/524288, 1482911/1048576], [-2, -2], [0, 0], [2, 2]]]], [[11, 3, 1, 5, 1], [2^
(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < -1, -u^2+v^2-x-1 < y, z < -(u^2
-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152],
[-2, -2], [3, 3], [-2, -2]]]], [[11, 3, 1, 5, 2], [2^(1/2) < v, And(-v < u,u <
-(v^2-1)^(1/2)), x < -1, -u^2+v^2-x-1 < y, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-2, -2], [3, 3]
, [-735979/1048576, -1471957/2097152]]]], [[11, 3, 1, 5, 3], [2^(1/2) < v, And
(-v < u,u < -(v^2-1)^(1/2)), x < -1, -u^2+v^2-x-1 < y, 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], [3, 3], [-1/4194304, -1/4194304]]]], [[11, 3, 1, 5
, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < -1, -u^2+v^2-x-1 < y,
z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-2, -2], [3, 3], [367989/524288, 735979/1048576]]]], [[11, 3, 1, 5,
5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < -1, -u^2+v^2-x-1 < y, (u
^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-2, -2], [3, 3], [2, 2]]]], [[1, 1, 5, 4, 1], [v < -2^(1/2), u < v,
And(-1 < x,x < 1), y = u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [
[-3, -3], [-4, -4], [0, 0], [8, 8], [-4, -4]]]], [[1, 1, 5, 4, 2], [v < -2^(1/
2), u < v, And(-1 < x,x < 1), y = u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-4, -4], [0, 0], [8, 8], [-2965821/1048576, -\
11863283/4194304]]]], [[1, 1, 5, 4, 3], [v < -2^(1/2), u < v, And(-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], [-4, -4], [0, 0], [8, 8], [-3/8388608, -3/8388608]]]
], [[1, 1, 5, 4, 4], [v < -2^(1/2), u < v, And(-1 < x,x < 1), y = u^2-v^2+x+1,
z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4], [0, 0], [8, 8], [
741455/262144, 2965821/1048576]]]], [[1, 1, 5, 4, 5], [v < -2^(1/2), u < v, 
And(-1 < x,x < 1), y = u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
-3, -3], [-4, -4], [0, 0], [8, 8], [4, 4]]]], [[1, 5, 2, 5, 1], [v < -2^(1/2),
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, -u^2+v^2 < y, z = z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1, -1], [3
, 3], [0, 0]]]], [[2, 8, 2, 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, 2, 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, 2, 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, 11, 6, 5, 1], [v = -2^(1/2), -v < u, x = 1, u^2 < y, z
< -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3]
, [1, 1], [10, 10], [-4, -4]]]], [[2, 11, 6, 5, 2], [v = -2^(1/2), -v < u, x =
1, u^2 < y, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [1, 1], [10, 10], [-2965821/1048576, -11863283/4194304]]]], [
[2, 11, 6, 5, 3], [v = -2^(1/2), -v < u, x = 1, u^2 < y, And(-(u^2-1)^(1/2) <
z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3
, 3], [1, 1], [10, 10], [-3/8388608, -3/8388608]]]], [[2, 11, 6, 5, 4], [v = -
2^(1/2), -v < u, x = 1, u^2 < y, z = (u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [1, 1], [10, 10], [741455/262144, 
2965821/1048576]]]], [[2, 11, 6, 5, 5], [v = -2^(1/2), -v < u, x = 1, u^2 < y,
(u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3
], [1, 1], [10, 10], [4, 4]]]], [[4, 2, 4, 1, 1], [v = -1, u = -1, x = 1, y <
-2, z < -1], [regular_chain, [[-1, -1], [-1, -1], [1, 1], [-3, -3], [-2, -2]]]
], [[4, 2, 4, 1, 2], [v = -1, u = -1, x = 1, y < -2, z = -1], [regular_chain,
[[-1, -1], [-1, -1], [1, 1], [-3, -3], [-1, -1]]]], [[4, 2, 4, 1, 3], [v = -1,
u = -1, x = 1, y < -2, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [-1, -1]
, [1, 1], [-3, -3], [0, 0]]]], [[4, 2, 4, 1, 4], [v = -1, u = -1, x = 1, y < -\
2, z = 1], [regular_chain, [[-1, -1], [-1, -1], [1, 1], [-3, -3], [1, 1]]]], [
[4, 2, 4, 1, 5], [v = -1, u = -1, x = 1, y < -2, 1 < z], [regular_chain, [[-1,
-1], [-1, -1], [1, 1], [-3, -3], [2, 2]]]], [[4, 6, 1, 2, 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, 2, 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,
2, 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, 2, 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, 2, 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, 2, 3, 1,
1], [v = 1, u = -1, And(-1 < x,x < 1), y < -1-x, z < -1], [regular_chain, [[1,
1], [-1, -1], [0, 0], [-2, -2], [-2, -2]]]], [[8, 2, 3, 1, 2], [v = 1, u = -1,
And(-1 < x,x < 1), y < -1-x, z = -1], [regular_chain, [[1, 1], [-1, -1], [0, 0
], [-2, -2], [-1, -1]]]], [[8, 2, 3, 1, 3], [v = 1, u = -1, And(-1 < x,x < 1),
y < -1-x, And(-1 < z,z < 1)], [regular_chain, [[1, 1], [-1, -1], [0, 0], [-2,
-2], [0, 0]]]], [[8, 2, 3, 1, 4], [v = 1, u = -1, And(-1 < x,x < 1), y < -1-x,
z = 1], [regular_chain, [[1, 1], [-1, -1], [0, 0], [-2, -2], [1, 1]]]], [[8, 2
, 3, 1, 5], [v = 1, u = -1, And(-1 < x,x < 1), y < -1-x, 1 < z], [
regular_chain, [[1, 1], [-1, -1], [0, 0], [-2, -2], [2, 2]]]], [[8, 5, 7, 2, 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, 5, 7, 2, 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, 5, 7, 2, 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, 5, 7, 2, 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, 5, 7, 2, 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]]]], [[10, 9, 7, 5, 1], [v = 2^(1/2), And(1 < u,u < v), 1 < x, u^2+x-\
1 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[1265743/1048576, 1265743/1048576], [2, 2], [4, 4], [-2, -2]]]], [[10, 9, 7, 5
, 2], [v = 2^(1/2), And(1 < u,u < v), 1 < x, u^2+x-1 < y, z = -(u^2-1)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [2, 2], [4, 4], [-1417877/2097152, -354469/524288]]]], [[10, 9, 7, 5
, 3], [v = 2^(1/2), And(1 < u,u < v), 1 < x, u^2+x-1 < y, 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], [4, 4], [0, 0]]]], [[10, 9, 7, 5, 4
], [v = 2^(1/2), And(1 < u,u < v), 1 < x, u^2+x-1 < y, z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [2, 2], [4, 4], [354469/524288, 708939/1048576]]]], [[10, 9, 7, 5, 5
], [v = 2^(1/2), And(1 < u,u < v), 1 < x, u^2+x-1 < y, (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [2, 2], [4, 4], [2, 2]]]], [[11, 2, 5, 3, 1], [2^(1/2) < v, u = -v,
1 < x, And(-1-x < y,y < x+1), z < -1], [regular_chain, [[3, 3], [-3, -3], [2,
2], [0, 0], [-2, -2]]]], [[11, 2, 5, 3, 2], [2^(1/2) < v, u = -v, 1 < x, And(-\
1-x < y,y < x+1), z = -1], [regular_chain, [[3, 3], [-3, -3], [2, 2], [0, 0],
[-1, -1]]]], [[11, 2, 5, 3, 3], [2^(1/2) < v, u = -v, 1 < x, And(-1-x < y,y <
x+1), And(-1 < z,z < 1)], [regular_chain, [[3, 3], [-3, -3], [2, 2], [0, 0], [
0, 0]]]], [[11, 2, 5, 3, 4], [2^(1/2) < v, u = -v, 1 < x, And(-1-x < y,y < x+1
), z = 1], [regular_chain, [[3, 3], [-3, -3], [2, 2], [0, 0], [1, 1]]]], [[11,
2, 5, 3, 5], [2^(1/2) < v, u = -v, 1 < x, And(-1-x < y,y < x+1), 1 < z], [
regular_chain, [[3, 3], [-3, -3], [2, 2], [0, 0], [2, 2]]]], [[1, 11, 2, 1, 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], [-2, -2], [-2, -2]]]], [[1, 11, 2, 1, 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], [-2, -\
2], [-735979/1048576, -1471957/2097152]]]], [[1, 11, 2, 1, 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], [-2, -2], [-1/4194304, -1/4194304]]]], [[1, 11, 2, 1, 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], [-2, -2], [367989/524288, 735979/1048576]]]], [[1, 11, 2, 1, 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
], [-2, -2], [2, 2]]]], [[2, 1, 6, 4, 1], [v = -2^(1/2), u < v, 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, 6, 4, 2], [v = -2^(1/2), u < v, 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, 6, 4, 3], [v = -2^(1/2), 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], [-3
, -3], [1, 1], [9, 9], [-3/8388608, -3/8388608]]]], [[2, 1, 6, 4, 4], [v = -2^
(1/2), u < v, 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, 6, 4, 5], [v = -2^(1/2), u < v, 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, 6, 3, 4, 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, 6, 3, 4, 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, 6, 3, 4, 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]]]]
, [[4, 1, 1, 2, 1], [v = -1, u < -1, x < -u^2, y = u^2+x, z < u], [
regular_chain, [[-1, -1], [-2, -2], [-5, -5], [-1, -1], [-3, -3]]]], [[4, 1, 1
, 2, 2], [v = -1, u < -1, x < -u^2, y = u^2+x, z = u], [regular_chain, [[-1, -\
1], [-2, -2], [-5, -5], [-1, -1], [-2, -2]]]], [[4, 1, 1, 2, 3], [v = -1, u <
-1, x < -u^2, y = u^2+x, And(u < z,z < -u)], [regular_chain, [[-1, -1], [-2, -\
2], [-5, -5], [-1, -1], [0, 0]]]], [[4, 1, 1, 2, 4], [v = -1, u < -1, x < -u^2
, y = u^2+x, z = -u], [regular_chain, [[-1, -1], [-2, -2], [-5, -5], [-1, -1],
[2, 2]]]], [[4, 1, 1, 2, 5], [v = -1, u < -1, x < -u^2, y = u^2+x, -u < z], [
regular_chain, [[-1, -1], [-2, -2], [-5, -5], [-1, -1], [3, 3]]]], [[5, 5, 2,
3, 1], [And(-1 < v,v < 0), -v < u, x = -u^2+v^2-1, 0 < y, z < -(u^2-v^2+1)^(1/
2)], [regular_chain, [[-1/2, -1/2], [2, 2], [-19/4, -19/4], [1, 1], [-4, -4]]]
], [[5, 5, 2, 3, 2], [And(-1 < v,v < 0), -v < u, x = -u^2+v^2-1, 0 < y, z = -(
u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [-19/4, -19/4], [1,
1], [-2285319/1048576, -1142659/524288]]]], [[5, 5, 2, 3, 3], [And(-1 < v,v <
0), -v < u, x = -u^2+v^2-1, 0 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^
(1/2))], [regular_chain, [[-1/2, -1/2], [2, 2], [-19/4, -19/4], [1, 1], [0, 0]
]]], [[5, 5, 2, 3, 4], [And(-1 < v,v < 0), -v < u, x = -u^2+v^2-1, 0 < y, z =
(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [-19/4, -19/4], [1,
1], [1142659/524288, 2285319/1048576]]]], [[5, 5, 2, 3, 5], [And(-1 < v,v < 0)
, -v < u, x = -u^2+v^2-1, 0 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/
2, -1/2], [2, 2], [-19/4, -19/4], [1, 1], [4, 4]]]], [[6, 3, 7, 1, 1], [v = 0,
0 < u, 1 < x, y < -u^2-x-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1,
1], [2, 2], [-5, -5], [-3, -3]]]], [[6, 3, 7, 1, 2], [v = 0, 0 < u, 1 < x, y <
-u^2-x-1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [2, 2], [-5, -\
5], [-1482911/1048576, -741455/524288]]]], [[6, 3, 7, 1, 3], [v = 0, 0 < u, 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, 1], [2, 2], [-5, -5], [0, 0]]]], [[6, 3, 7, 1, 4], [v = 0, 0 < u,
1 < x, y < -u^2-x-1, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [2,
2], [-5, -5], [741455/524288, 1482911/1048576]]]], [[6, 3, 7, 1, 5], [v = 0, 0
< u, 1 < x, y < -u^2-x-1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1, 1],
[2, 2], [-5, -5], [3, 3]]]], [[9, 4, 6, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(
v^2-1)^(1/2), x = 1, And(-1 < y,y < 1), z < 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [1, 1], [0, 0],
[-1, -1]]]], [[9, 4, 6, 3, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x
= 1, And(-1 < y,y < 1), z = 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [1, 1], [0, 0], [0, 0]]]], [[9,
4, 6, 3, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 1, And(-1 < y,y
< 1), 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [1, 1], [0, 0], [1, 1]]]], [[9, 8, 1, 4, 1], [And(1
< v,v < 2^(1/2)), u = v, x < -1, y = -1-x, z < -1], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [1, 1
], [-2, -2]]]], [[9, 8, 1, 4, 2], [And(1 < v,v < 2^(1/2)), u = v, x < -1, y =
-1-x, z = -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [-2, -2], [1, 1], [-1, -1]]]], [[9, 8, 1, 4, 3], [
And(1 < v,v < 2^(1/2)), u = v, x < -1, y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [-2, -2], [1, 1], [0, 0]]]], [[9, 8, 1, 4, 4], [And(1 < v,v < 2^(1/2
)), u = v, x < -1, y = -1-x, z = 1], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [1, 1], [1, 1]
]]], [[9, 8, 1, 4, 5], [And(1 < v,v < 2^(1/2)), u = v, x < -1, y = -1-x, 1 < z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 
1265743/1048576], [-2, -2], [1, 1], [2, 2]]]], [[9, 9, 6, 3, 1], [And(1 < v,v
< 2^(1/2)), v < u, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z < -(u^2-v^2+1)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1, 1], [
0, 0], [-4, -4]]]], [[9, 9, 6, 3, 2], [And(1 < v,v < 2^(1/2)), v < u, x = 1, 
And(-u^2+v^2-2 < y,y < u^2-v^2+2), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [1, 1], [0, 0], [-1532401/524288, -\
24518415/8388608]]]], [[9, 9, 6, 3, 3], [And(1 < v,v < 2^(1/2)), v < u, x = 1,
And(-u^2+v^2-2 < y,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],
[0, 0], [-7/16777216, -7/16777216]]]], [[9, 9, 6, 3, 4], [And(1 < v,v < 2^(1/2
)), v < u, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1, 1], [0, 0], [
3064801/1048576, 1532401/524288]]]], [[9, 9, 6, 3, 5], [And(1 < v,v < 2^(1/2))
, v < u, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1, 1], [0, 0], [4
, 4]]]], [[10, 4, 3, 4, 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, 4, 3, 4, 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, 4, 3, 4, 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]]]], [[11, 9, 3, 1
, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < -
u^2+v^2-1), y < u^2-v^2+x+1, z = z], [regular_chain, [[3, 3], [1435023/524288,
1435023/524288], [-128885/524288, -128885/524288], [-2, -2], [0, 0]]]], [[11,
12, 5, 4, 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, 12, 5, 4, 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, 12, 5, 4, 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, 12, 5, 4, 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, 12, 5, 4, 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]]]], [[1, 1, 5, 5, 1], [v < -2^(1/2), u < v, And(-1 < x,x < 1), u^2-v^
2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4], [0, 0
], [9, 9], [-4, -4]]]], [[1, 1, 5, 5, 2], [v < -2^(1/2), u < v, And(-1 < x,x <
1), u^2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4,
-4], [0, 0], [9, 9], [-2965821/1048576, -11863283/4194304]]]], [[1, 1, 5, 5, 3
], [v < -2^(1/2), u < v, And(-1 < x,x < 1), u^2-v^2+x+1 < y, And(-(u^2-v^2+1)^
(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-4, -4], [0, 0]
, [9, 9], [-3/8388608, -3/8388608]]]], [[1, 1, 5, 5, 4], [v < -2^(1/2), u < v,
And(-1 < x,x < 1), u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
-3, -3], [-4, -4], [0, 0], [9, 9], [741455/262144, 2965821/1048576]]]], [[1, 1
, 5, 5, 5], [v < -2^(1/2), u < v, And(-1 < x,x < 1), u^2-v^2+x+1 < y, (u^2-v^2
+1)^(1/2) < z], [regular_chain, [[-3, -3], [-4, -4], [0, 0], [9, 9], [4, 4]]]]
, [[1, 5, 3, 1, 1], [v < -2^(1/2), And(-(v^2-1)^(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]
, [-22960369/8388608, -22960369/8388608], [-515541/2097152, -515541/2097152],
[-2, -2], [0, 0]]]], [[2, 8, 2, 1, 1], [v = -2^(1/2), u = 1, x = -1, y < -1, z
< 0], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1, -1], [
-2, -2], [-1, -1]]]], [[2, 8, 2, 1, 2], [v = -2^(1/2), u = 1, x = -1, y < -1,
z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1, -1],
[-2, -2], [0, 0]]]], [[2, 8, 2, 1, 3], [v = -2^(1/2), u = 1, x = -1, y < -1, 0
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1, -1], [
-2, -2], [1, 1]]]], [[2, 11, 6, 4, 1], [v = -2^(1/2), -v < 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, 11, 6, 4, 2], [v = -2^(1/2), -v < 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
, 11, 6, 4, 3], [v = -2^(1/2), -v < 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, 11, 6, 4, 4], [v = -2^(1
/2), -v < 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, 11, 6, 4, 5], [v = -2^(1/2), -v < 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]]]], [[4, 2, 4, 2, 1], [v = -1, u = -1, x = 1, y = -2, z < -\
1], [regular_chain, [[-1, -1], [-1, -1], [1, 1], [-2, -2], [-2, -2]]]], [[4, 2
, 4, 2, 2], [v = -1, u = -1, x = 1, y = -2, z = -1], [regular_chain, [[-1, -1]
, [-1, -1], [1, 1], [-2, -2], [-1, -1]]]], [[4, 2, 4, 2, 3], [v = -1, u = -1,
x = 1, y = -2, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [-1, -1], [1, 1]
, [-2, -2], [0, 0]]]], [[4, 2, 4, 2, 4], [v = -1, u = -1, x = 1, y = -2, z = 1
], [regular_chain, [[-1, -1], [-1, -1], [1, 1], [-2, -2], [1, 1]]]], [[4, 2, 4
, 2, 5], [v = -1, u = -1, x = 1, y = -2, 1 < z], [regular_chain, [[-1, -1], [-\
1, -1], [1, 1], [-2, -2], [2, 2]]]], [[4, 6, 1, 3, 1], [v = -1, u = 1, x < -1,
And(x+1 < y,y < -1-x), z < -1], [regular_chain, [[-1, -1], [1, 1], [-2, -2], [
0, 0], [-2, -2]]]], [[4, 6, 1, 3, 2], [v = -1, u = 1, x < -1, And(x+1 < y,y <
-1-x), z = -1], [regular_chain, [[-1, -1], [1, 1], [-2, -2], [0, 0], [-1, -1]]
]], [[4, 6, 1, 3, 3], [v = -1, u = 1, x < -1, And(x+1 < y,y < -1-x), And(-1 <
z,z < 1)], [regular_chain, [[-1, -1], [1, 1], [-2, -2], [0, 0], [0, 0]]]], [[4
, 6, 1, 3, 4], [v = -1, u = 1, x < -1, And(x+1 < y,y < -1-x), z = 1], [
regular_chain, [[-1, -1], [1, 1], [-2, -2], [0, 0], [1, 1]]]], [[4, 6, 1, 3, 5
], [v = -1, u = 1, x < -1, And(x+1 < y,y < -1-x), 1 < z], [regular_chain, [[-1
, -1], [1, 1], [-2, -2], [0, 0], [2, 2]]]], [[8, 2, 2, 3, 1], [v = 1, u = -1,
x = -1, 0 < y, z < -1], [regular_chain, [[1, 1], [-1, -1], [-1, -1], [1, 1], [
-2, -2]]]], [[8, 2, 2, 3, 2], [v = 1, u = -1, x = -1, 0 < y, z = -1], [
regular_chain, [[1, 1], [-1, -1], [-1, -1], [1, 1], [-1, -1]]]], [[8, 2, 2, 3,
3], [v = 1, u = -1, x = -1, 0 < y, And(-1 < z,z < 1)], [regular_chain, [[1, 1]
, [-1, -1], [-1, -1], [1, 1], [0, 0]]]], [[8, 2, 2, 3, 4], [v = 1, u = -1, x =
-1, 0 < y, z = 1], [regular_chain, [[1, 1], [-1, -1], [-1, -1], [1, 1], [1, 1]
]]], [[8, 2, 2, 3, 5], [v = 1, u = -1, x = -1, 0 < y, 1 < z], [regular_chain,
[[1, 1], [-1, -1], [-1, -1], [1, 1], [2, 2]]]], [[8, 5, 7, 1, 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], [-4, -4], [-2, -2]]]], [[8, 5, 7, 1, 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], [-4, -4],
[-1/2, -1/2]]]], [[8, 5, 7, 1, 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], [-4, -4], [
0, 0]]]], [[8, 5, 7, 1, 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], [-4, -4], [1/2, 1/2]]]], [[8,
5, 7, 1, 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], [-4, -4], [2, 2]]]], [[10, 10, 1,
1, 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], [-2, -2
], [-2, -2]]]], [[10, 10, 1, 1, 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], [-2, -2], [-1, -1]]]], [[10, 10, 1, 1, 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], [-2, -2]
, [0, 0]]]], [[10, 10, 1, 1, 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], [-2, -2], [1, 1]]]], [[10, 10, 1, 1, 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], [-2, -2], [2, 2]]]], [[11, 2, 5, 4
, 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, 2, 5, 4, 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, 2, 5, 4, 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,
2, 5, 4, 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, 2, 5, 4, 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]]]], [[1, 11, 2, 2, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
x = -1, y = u^2-v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-1, -1], [-1064009/2097152, -133001/262144
], [-2, -2]]]], [[1, 11, 2, 2, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v
), x = -1, y = u^2-v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-1, -1], [-1064009/2097152, -133001/262144
], [-735979/1048576, -1471957/2097152]]]], [[1, 11, 2, 2, 3], [v < -2^(1/2), 
And((v^2-1)^(1/2) < u,u < -v), x = -1, y = u^2-v^2, And(-(u^2-v^2+1)^(1/2) < z
,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152, 6111549
/2097152], [-1, -1], [-1064009/2097152, -133001/262144], [-1/4194304, -1/
4194304]]]], [[1, 11, 2, 2, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
x = -1, y = u^2-v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-1, -1], [-1064009/2097152, -133001/262144
], [367989/524288, 735979/1048576]]]], [[1, 11, 2, 2, 5], [v < -2^(1/2), And((
v^2-1)^(1/2) < u,u < -v), x = -1, y = u^2-v^2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-1, -1], [-\
1064009/2097152, -133001/262144], [2, 2]]]], [[2, 1, 6, 5, 1], [v = -2^(1/2),
u < v, x = 1, u^2 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [-3, -3], [1, 1], [10, 10], [-4, -4]]]], [[2, 1, 6, 5, 2],
[v = -2^(1/2), u < v, x = 1, u^2 < y, z = -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [1, 1], [10, 10], [-2965821/
1048576, -11863283/4194304]]]], [[2, 1, 6, 5, 3], [v = -2^(1/2), u < v, x = 1,
u^2 < y, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [1, 1], [10, 10], [-3/8388608, -3/
8388608]]]], [[2, 1, 6, 5, 4], [v = -2^(1/2), u < v, x = 1, u^2 < y, z = (u^2-\
1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [1,
1], [10, 10], [741455/262144, 2965821/1048576]]]], [[2, 1, 6, 5, 5], [v = -2^(
1/2), u < v, x = 1, u^2 < y, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [1, 1], [10, 10], [4, 4]]]], [[3, 6, 3, 3,
1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y
,y < -x), z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
354469/524288, 708939/1048576], [-1/2, -1/2], [0, 0], [-1, -1]]]], [[3, 6, 3,
3, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(x
< y,y < -x), z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
354469/524288, 708939/1048576], [-1/2, -1/2], [0, 0], [0, 0]]]], [[3, 6, 3, 3,
3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y
,y < -x), 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
354469/524288, 708939/1048576], [-1/2, -1/2], [0, 0], [1, 1]]]], [[4, 1, 1, 1,
1], [v = -1, u < -1, x < -u^2, y < u^2+x, z < u], [regular_chain, [[-1, -1], [
-2, -2], [-5, -5], [-2, -2], [-3, -3]]]], [[4, 1, 1, 1, 2], [v = -1, u < -1, x
< -u^2, y < u^2+x, z = u], [regular_chain, [[-1, -1], [-2, -2], [-5, -5], [-2,
-2], [-2, -2]]]], [[4, 1, 1, 1, 3], [v = -1, u < -1, x < -u^2, y < u^2+x, And(
u < z,z < -u)], [regular_chain, [[-1, -1], [-2, -2], [-5, -5], [-2, -2], [0, 0
]]]], [[4, 1, 1, 1, 4], [v = -1, u < -1, x < -u^2, y < u^2+x, z = -u], [
regular_chain, [[-1, -1], [-2, -2], [-5, -5], [-2, -2], [2, 2]]]], [[4, 1, 1,
1, 5], [v = -1, u < -1, x < -u^2, y < u^2+x, -u < z], [regular_chain, [[-1, -1
], [-2, -2], [-5, -5], [-2, -2], [3, 3]]]], [[5, 5, 3, 1, 1], [And(-1 < v,v <
0), -v < 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], [2, 2], [-23/8, -23/8], [-3, -3], [-4, -4]
]]], [[5, 5, 3, 1, 2], [And(-1 < v,v < 0), -v < 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], [2,
2], [-23/8, -23/8], [-3, -3], [-2285319/1048576, -1142659/524288]]]], [[5, 5,
3, 1, 3], [And(-1 < v,v < 0), -v < 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], [2, 2], [-23/8, -23/8], [-3, -3], [0, 0]]]], [[5, 5, 3, 1, 4], [And
(-1 < v,v < 0), -v < 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], [2, 2], [-23/8, -23/8], [-3, -3
], [1142659/524288, 2285319/1048576]]]], [[5, 5, 3, 1, 5], [And(-1 < v,v < 0),
-v < 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], [2, 2], [-23/8, -23/8], [-3, -3], [4, 4]]]], [[
6, 3, 7, 2, 1], [v = 0, 0 < u, 1 < x, y = -u^2-x-1, z < -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [2, 2], [-4, -4], [-3, -3]]]], [[6, 3, 7, 2, 2
], [v = 0, 0 < u, 1 < x, y = -u^2-x-1, z = -(u^2+1)^(1/2)], [regular_chain, [[
0, 0], [1, 1], [2, 2], [-4, -4], [-1482911/1048576, -741455/524288]]]], [[6, 3
, 7, 2, 3], [v = 0, 0 < u, 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, 1], [2, 2], [-4, -4], [0, 0]]]], [[
6, 3, 7, 2, 4], [v = 0, 0 < u, 1 < x, y = -u^2-x-1, z = (u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [2, 2], [-4, -4], [741455/524288, 1482911/
1048576]]]], [[6, 3, 7, 2, 5], [v = 0, 0 < u, 1 < x, y = -u^2-x-1, (u^2+1)^(1/
2) < z], [regular_chain, [[0, 0], [1, 1], [2, 2], [-4, -4], [3, 3]]]], [[9, 4,
6, 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, 4, 6, 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, 4, 6, 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, 1, 3, 1], [And(1 < v,v < 2^(1/2)), u = v, x < -1, And(x+1 < y,y < -1-x),
z < -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576
, 1265743/1048576], [-2, -2], [0, 0], [-2, -2]]]], [[9, 8, 1, 3, 2], [And(1 <
v,v < 2^(1/2)), u = v, x < -1, And(x+1 < y,y < -1-x), z = -1], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-2,
-2], [0, 0], [-1, -1]]]], [[9, 8, 1, 3, 3], [And(1 < v,v < 2^(1/2)), u = v, x
< -1, And(x+1 < y,y < -1-x), And(-1 < z,z < 1)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [0, 0
], [0, 0]]]], [[9, 8, 1, 3, 4], [And(1 < v,v < 2^(1/2)), u = v, x < -1, And(x+
1 < y,y < -1-x), z = 1], [regular_chain, [[1265743/1048576, 1265743/1048576],
[1265743/1048576, 1265743/1048576], [-2, -2], [0, 0], [1, 1]]]], [[9, 8, 1, 3,
5], [And(1 < v,v < 2^(1/2)), u = v, x < -1, And(x+1 < y,y < -1-x), 1 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [-2, -2], [0, 0], [2, 2]]]], [[9, 9, 6, 4, 1], [And(1 < v,v < 2^(1/2
)), v < 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, 9, 6, 4, 2], [And(1 < v,v < 2^(1/2)), v < 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, 9, 6, 4, 3], [And(1 < v,v < 2^(1/2
)), v < 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, 9, 6, 4
, 4], [And(1 < v,v < 2^(1/2)), v < 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,
9, 6, 4, 5], [And(1 < v,v < 2^(1/2)), v < 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, 4, 3, 5, 1], [v = 2^(
1/2), u = -1, And(-1 < x,x < 0), -x < y, z < 0], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [-1/2, -1/2], [2, 2], [-1, -1]]]], [[10, 4
, 3, 5, 2], [v = 2^(1/2), u = -1, And(-1 < x,x < 0), -x < y, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1/2, -1/2], [2,
2], [0, 0]]]], [[10, 4, 3, 5, 3], [v = 2^(1/2), u = -1, And(-1 < x,x < 0), -x
< y, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1/
2, -1/2], [2, 2], [1, 1]]]], [[11, 9, 2, 5, 1], [2^(1/2) < v, And((v^2-2)^(1/2
) < u,u < (v^2-1)^(1/2)), x = -1, -u^2+v^2 < y, z = z], [regular_chain, [[3, 3
], [1435023/524288, 1435023/524288], [-1, -1], [3, 3], [0, 0]]]], [[11, 12, 5,
3, 1], [2^(1/2) < v, u = v, 1 < x, And(-1-x < y,y < x+1), z < -1], [
regular_chain, [[3, 3], [3, 3], [2, 2], [0, 0], [-2, -2]]]], [[11, 12, 5, 3, 2
], [2^(1/2) < v, u = v, 1 < x, And(-1-x < y,y < x+1), z = -1], [regular_chain,
[[3, 3], [3, 3], [2, 2], [0, 0], [-1, -1]]]], [[11, 12, 5, 3, 3], [2^(1/2) < v
, u = v, 1 < x, And(-1-x < y,y < x+1), And(-1 < z,z < 1)], [regular_chain, [[3
, 3], [3, 3], [2, 2], [0, 0], [0, 0]]]], [[11, 12, 5, 3, 4], [2^(1/2) < v, u =
v, 1 < x, And(-1-x < y,y < x+1), z = 1], [regular_chain, [[3, 3], [3, 3], [2,
2], [0, 0], [1, 1]]]], [[11, 12, 5, 3, 5], [2^(1/2) < v, u = v, 1 < x, And(-1-
x < y,y < x+1), 1 < z], [regular_chain, [[3, 3], [3, 3], [2, 2], [0, 0], [2, 2
]]]], [[1, 1, 5, 2, 1], [v < -2^(1/2), u < v, And(-1 < x,x < 1), y = -u^2+v^2-
x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4], [0, 0], [-8
, -8], [-4, -4]]]], [[1, 1, 5, 2, 2], [v < -2^(1/2), u < v, And(-1 < x,x < 1),
y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4]
, [0, 0], [-8, -8], [-2965821/1048576, -11863283/4194304]]]], [[1, 1, 5, 2, 3]
, [v < -2^(1/2), u < v, And(-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], [-4, -4], [0, 0]
, [-8, -8], [-3/8388608, -3/8388608]]]], [[1, 1, 5, 2, 4], [v < -2^(1/2), u <
v, And(-1 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain
, [[-3, -3], [-4, -4], [0, 0], [-8, -8], [741455/262144, 2965821/1048576]]]],
[[1, 1, 5, 2, 5], [v < -2^(1/2), u < v, And(-1 < x,x < 1), y = -u^2+v^2-x-1, (
u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-4, -4], [0, 0], [-8, -8],
[4, 4]]]], [[1, 5, 3, 2, 1], [v < -2^(1/2), And(-(v^2-1)^(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], [-22960369/8388608, -22960369/8388608], [-515541/2097152, -515541/
2097152], [-3163225/4194304, -395403/524288], [0, 0]]]], [[2, 8, 1, 5, 1], [v
= -2^(1/2), u = 1, x < -1, -x < y, z < 0], [regular_chain, [[-1482911/1048576,
-741455/524288], [1, 1], [-2, -2], [3, 3], [-1, -1]]]], [[2, 8, 1, 5, 2], [v =
-2^(1/2), u = 1, x < -1, -x < y, z = 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [-2, -2], [3, 3], [0, 0]]]], [[2, 8, 1, 5, 3], [v = -2
^(1/2), u = 1, x < -1, -x < y, 0 < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [-2, -2], [3, 3], [1, 1]]]], [[2, 11, 7, 2, 1], [v = -
2^(1/2), -v < u, 1 < x, y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [2, 2], [-10, -10], [-4, -4]]]], [[2
, 11, 7, 2, 2], [v = -2^(1/2), -v < u, 1 < x, y = -u^2-x+1, z = -(u^2-1)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [2, 2], [-10,
-10], [-2965821/1048576, -11863283/4194304]]]], [[2, 11, 7, 2, 3], [v = -2^(1/
2), -v < u, 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], [3, 3], [2, 2], [-10, -10]
, [-3/8388608, -3/8388608]]]], [[2, 11, 7, 2, 4], [v = -2^(1/2), -v < u, 1 < x
, y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [2, 2], [-10, -10], [741455/262144, 2965821/1048576]]]
], [[2, 11, 7, 2, 5], [v = -2^(1/2), -v < u, 1 < x, y = -u^2-x+1, (u^2-1)^(1/2
) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [2, 2], [
-10, -10], [4, 4]]]], [[4, 2, 3, 4, 1], [v = -1, u = -1, And(-1 < x,x < 1), y
= x+1, z < -1], [regular_chain, [[-1, -1], [-1, -1], [0, 0], [1, 1], [-2, -2]]
]], [[4, 2, 3, 4, 2], [v = -1, u = -1, And(-1 < x,x < 1), y = x+1, z = -1], [
regular_chain, [[-1, -1], [-1, -1], [0, 0], [1, 1], [-1, -1]]]], [[4, 2, 3, 4,
3], [v = -1, u = -1, And(-1 < x,x < 1), y = x+1, And(-1 < z,z < 1)], [
regular_chain, [[-1, -1], [-1, -1], [0, 0], [1, 1], [0, 0]]]], [[4, 2, 3, 4, 4
], [v = -1, u = -1, And(-1 < x,x < 1), y = x+1, z = 1], [regular_chain, [[-1,
-1], [-1, -1], [0, 0], [1, 1], [1, 1]]]], [[4, 2, 3, 4, 5], [v = -1, u = -1, 
And(-1 < x,x < 1), y = x+1, 1 < z], [regular_chain, [[-1, -1], [-1, -1], [0, 0
], [1, 1], [2, 2]]]], [[4, 6, 1, 4, 1], [v = -1, u = 1, x < -1, y = -1-x, z <
-1], [regular_chain, [[-1, -1], [1, 1], [-2, -2], [1, 1], [-2, -2]]]], [[4, 6,
1, 4, 2], [v = -1, u = 1, x < -1, y = -1-x, z = -1], [regular_chain, [[-1, -1]
, [1, 1], [-2, -2], [1, 1], [-1, -1]]]], [[4, 6, 1, 4, 3], [v = -1, u = 1, x <
-1, y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [1, 1], [-2, -2],
[1, 1], [0, 0]]]], [[4, 6, 1, 4, 4], [v = -1, u = 1, x < -1, y = -1-x, z = 1],
[regular_chain, [[-1, -1], [1, 1], [-2, -2], [1, 1], [1, 1]]]], [[4, 6, 1, 4,
5], [v = -1, u = 1, x < -1, y = -1-x, 1 < z], [regular_chain, [[-1, -1], [1, 1
], [-2, -2], [1, 1], [2, 2]]]], [[8, 2, 2, 2, 1], [v = 1, u = -1, x = -1, y =
0, z < -1], [regular_chain, [[1, 1], [-1, -1], [-1, -1], [0, 0], [-2, -2]]]],
[[8, 2, 2, 2, 2], [v = 1, u = -1, x = -1, y = 0, z = -1], [regular_chain, [[1,
1], [-1, -1], [-1, -1], [0, 0], [-1, -1]]]], [[8, 2, 2, 2, 3], [v = 1, u = -1,
x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[1, 1], [-1, -1], [-1, -1]
, [0, 0], [0, 0]]]], [[8, 2, 2, 2, 4], [v = 1, u = -1, x = -1, y = 0, z = 1],
[regular_chain, [[1, 1], [-1, -1], [-1, -1], [0, 0], [1, 1]]]], [[8, 2, 2, 2,
5], [v = 1, u = -1, x = -1, y = 0, 1 < z], [regular_chain, [[1, 1], [-1, -1],
[-1, -1], [0, 0], [2, 2]]]], [[8, 5, 7, 4, 1], [v = 1, And(0 < u,u < 1), 1 < x
, y = u^2+x, z < -u], [regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [9/4, 9/4],
[-2, -2]]]], [[8, 5, 7, 4, 2], [v = 1, And(0 < u,u < 1), 1 < x, y = u^2+x, z =
-u], [regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [9/4, 9/4], [-1/2, -1/2]]]],
[[8, 5, 7, 4, 3], [v = 1, And(0 < u,u < 1), 1 < x, y = u^2+x, And(-u < z,z < u
)], [regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [9/4, 9/4], [0, 0]]]], [[8, 5
, 7, 4, 4], [v = 1, And(0 < u,u < 1), 1 < x, y = u^2+x, z = u], [regular_chain
, [[1, 1], [1/2, 1/2], [2, 2], [9/4, 9/4], [1/2, 1/2]]]], [[8, 5, 7, 4, 5], [v
= 1, And(0 < u,u < 1), 1 < x, y = u^2+x, u < z], [regular_chain, [[1, 1], [1/2
, 1/2], [2, 2], [9/4, 9/4], [2, 2]]]], [[10, 9, 7, 3, 1], [v = 2^(1/2), And(1
< u,u < v), 1 < x, And(-u^2-x+1 < y,y < u^2+x-1), z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [2, 2], [0, 0], [-2, -2]]]], [[10, 9, 7, 3, 2], [v = 2^(1/2), And(1
< u,u < v), 1 < x, And(-u^2-x+1 < y,y < u^2+x-1), z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [2, 2], [0, 0], [-1417877/2097152, -354469/524288]]]], [[10, 9, 7, 3
, 3], [v = 2^(1/2), And(1 < u,u < v), 1 < x, And(-u^2-x+1 < y,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], [0, 0], [0, 0]]]
], [[10, 9, 7, 3, 4], [v = 2^(1/2), And(1 < u,u < v), 1 < x, And(-u^2-x+1 < y,
y < u^2+x-1), z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [2, 2], [0, 0], [354469/524288,
708939/1048576]]]], [[10, 9, 7, 3, 5], [v = 2^(1/2), And(1 < u,u < v), 1 < x,
And(-u^2-x+1 < y,y < u^2+x-1), (u^2-1)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [0, 0],
[2, 2]]]], [[11, 2, 5, 5, 1], [2^(1/2) < v, u = -v, 1 < x, x+1 < y, z < -1], [
regular_chain, [[3, 3], [-3, -3], [2, 2], [4, 4], [-2, -2]]]], [[11, 2, 5, 5,
2], [2^(1/2) < v, u = -v, 1 < x, x+1 < y, z = -1], [regular_chain, [[3, 3], [-\
3, -3], [2, 2], [4, 4], [-1, -1]]]], [[11, 2, 5, 5, 3], [2^(1/2) < v, u = -v,
1 < x, x+1 < y, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [-3, -3], [2, 2],
[4, 4], [0, 0]]]], [[11, 2, 5, 5, 4], [2^(1/2) < v, u = -v, 1 < x, x+1 < y, z
= 1], [regular_chain, [[3, 3], [-3, -3], [2, 2], [4, 4], [1, 1]]]], [[11, 2, 5
, 5, 5], [2^(1/2) < v, u = -v, 1 < x, x+1 < y, 1 < z], [regular_chain, [[3, 3]
, [-3, -3], [2, 2], [4, 4], [2, 2]]]], [[1, 11, 1, 4, 1], [v < -2^(1/2), And((
v^2-1)^(1/2) < u,u < -v), 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], [-2, -2], [
395145/262144, 1580581/1048576], [-2, -2]]]], [[1, 11, 1, 4, 2], [v < -2^(1/2)
, And((v^2-1)^(1/2) < u,u < -v), 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], [-2, -2],
[395145/262144, 1580581/1048576], [-735979/1048576, -1471957/2097152]]]], [[1,
11, 1, 4, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 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], [-2, -2], [395145/262144, 1580581
/1048576], [-1/4194304, -1/4194304]]]], [[1, 11, 1, 4, 4], [v < -2^(1/2), And(
(v^2-1)^(1/2) < u,u < -v), 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], [-2, -2], [
395145/262144, 1580581/1048576], [367989/524288, 735979/1048576]]]], [[1, 11,
1, 4, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 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], [-2, -2], [395145/262144, 1580581/1048576], [2, 2]]]], [[2,
1, 7, 1, 1], [v = -2^(1/2), u < v, 1 < x, y < -u^2-x+1, z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [2, 2], [-11, -\
11], [-4, -4]]]], [[2, 1, 7, 1, 2], [v = -2^(1/2), u < v, 1 < x, y < -u^2-x+1,
z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3,
-3], [2, 2], [-11, -11], [-2965821/1048576, -11863283/4194304]]]], [[2, 1, 7,
1, 3], [v = -2^(1/2), 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], [-3, -3],
[2, 2], [-11, -11], [-3/8388608, -3/8388608]]]], [[2, 1, 7, 1, 4], [v = -2^(1/
2), u < v, 1 < x, y < -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [-3, -3], [2, 2], [-11, -11], [741455/262144, 
2965821/1048576]]]], [[2, 1, 7, 1, 5], [v = -2^(1/2), u < v, 1 < x, y < -u^2-x
+1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
-3, -3], [2, 2], [-11, -11], [4, 4]]]], [[3, 6, 3, 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, 6, 3, 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, 6, 3, 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]]]], [[4, 1, 1, 4, 1], [v = -1, u < -1, x < -u^2, y = -u^2-x,
z < u], [regular_chain, [[-1, -1], [-2, -2], [-5, -5], [1, 1], [-3, -3]]]], [[
4, 1, 1, 4, 2], [v = -1, u < -1, x < -u^2, y = -u^2-x, z = u], [regular_chain,
[[-1, -1], [-2, -2], [-5, -5], [1, 1], [-2, -2]]]], [[4, 1, 1, 4, 3], [v = -1,
u < -1, x < -u^2, y = -u^2-x, And(u < z,z < -u)], [regular_chain, [[-1, -1], [
-2, -2], [-5, -5], [1, 1], [0, 0]]]], [[4, 1, 1, 4, 4], [v = -1, u < -1, x < -
u^2, y = -u^2-x, z = -u], [regular_chain, [[-1, -1], [-2, -2], [-5, -5], [1, 1
], [2, 2]]]], [[4, 1, 1, 4, 5], [v = -1, u < -1, x < -u^2, y = -u^2-x, -u < z]
, [regular_chain, [[-1, -1], [-2, -2], [-5, -5], [1, 1], [3, 3]]]], [[5, 5, 2,
1, 1], [And(-1 < v,v < 0), -v < u, x = -u^2+v^2-1, y < 0, z < -(u^2-v^2+1)^(1/
2)], [regular_chain, [[-1/2, -1/2], [2, 2], [-19/4, -19/4], [-1, -1], [-4, -4]
]]], [[5, 5, 2, 1, 2], [And(-1 < v,v < 0), -v < u, x = -u^2+v^2-1, y < 0, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [-19/4, -19/4], [-\
1, -1], [-2285319/1048576, -1142659/524288]]]], [[5, 5, 2, 1, 3], [And(-1 < v,
v < 0), -v < 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], [2, 2], [-19/4, -19/4], [-1, -1],
[0, 0]]]], [[5, 5, 2, 1, 4], [And(-1 < v,v < 0), -v < u, x = -u^2+v^2-1, y < 0
, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [-19/4, -19/4
], [-1, -1], [1142659/524288, 2285319/1048576]]]], [[5, 5, 2, 1, 5], [And(-1 <
v,v < 0), -v < u, x = -u^2+v^2-1, y < 0, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [2, 2], [-19/4, -19/4], [-1, -1], [4, 4]]]], [[6
, 3, 7, 3, 1], [v = 0, 0 < u, 1 < x, And(-u^2-x-1 < y,y < u^2+x+1), z < -(u^2+
1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [2, 2], [0, 0], [-3, -3]]]], [[6,
3, 7, 3, 2], [v = 0, 0 < u, 1 < x, And(-u^2-x-1 < y,y < u^2+x+1), z = -(u^2+1)
^(1/2)], [regular_chain, [[0, 0], [1, 1], [2, 2], [0, 0], [-1482911/1048576, -\
741455/524288]]]], [[6, 3, 7, 3, 3], [v = 0, 0 < u, 1 < x, And(-u^2-x-1 < y,y
< u^2+x+1), And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0
], [1, 1], [2, 2], [0, 0], [0, 0]]]], [[6, 3, 7, 3, 4], [v = 0, 0 < u, 1 < x,
And(-u^2-x-1 < y,y < u^2+x+1), z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [1
, 1], [2, 2], [0, 0], [741455/524288, 1482911/1048576]]]], [[6, 3, 7, 3, 5], [
v = 0, 0 < u, 1 < x, And(-u^2-x-1 < y,y < u^2+x+1), (u^2+1)^(1/2) < z], [
regular_chain, [[0, 0], [1, 1], [2, 2], [0, 0], [3, 3]]]], [[9, 4, 6, 1, 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], [-2, -2], [-1, -1]]]], [[9, 4, 6, 1, 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], [-2, -2
], [0, 0]]]], [[9, 4, 6, 1, 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], [-2, -2], [1, 1]]]], [[9, 8, 2, 1, 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
], [-1, -1], [-2, -2]]]], [[9, 8, 2, 1, 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], [-1, -1], [-1, -1]]]], [[9, 8, 2,
1, 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], [-1, -1], [0, 0]]]], [[9, 8, 2, 1, 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], [-1, -1], [1, 1]]]],
[[9, 8, 2, 1, 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], [-1, -1], [2, 2]]]], [[9, 9, 6, 1, 1], [And(1 < v,v < 2^(1
/2)), v < 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], [-11, -11], [-4, -4]]]], [
[9, 9, 6, 1, 2], [And(1 < v,v < 2^(1/2)), v < 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], [-11, -11], [-1532401/524288, -24518415/8388608]]]], [[9, 9, 6, 1, 3
], [And(1 < v,v < 2^(1/2)), v < 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], [-11, -11], [-7/16777216, -7/16777216]]]], [[9, 9, 6
, 1, 4], [And(1 < v,v < 2^(1/2)), v < 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],
[-11, -11], [3064801/1048576, 1532401/524288]]]], [[9, 9, 6, 1, 5], [And(1 < v
,v < 2^(1/2)), v < 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], [-11, -11]
, [4, 4]]]], [[10, 4, 4, 1, 1], [v = 2^(1/2), u = -1, x = 0, y < 0, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [0, 0], [-1, -1],
[-1, -1]]]], [[10, 4, 4, 1, 2], [v = 2^(1/2), u = -1, x = 0, y < 0, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [0, 0], [-1, -1],
[0, 0]]]], [[10, 4, 4, 1, 3], [v = 2^(1/2), u = -1, x = 0, y < 0, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [0, 0], [-1, -1],
[1, 1]]]], [[11, 9, 2, 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, z = z], [regular_chain, [[3, 3], [1435023/524288
, 1435023/524288], [-1, -1], [395403/262144, 1581613/1048576], [0, 0]]]], [[11
, 13, 1, 1, 1], [2^(1/2) < v, v < 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], [4, 4], [-9, -9], [-2, -2], [-4, -4]
]]], [[11, 13, 1, 1, 2], [2^(1/2) < v, v < 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], [4, 4], [-9, -9], [-2, -2],
[-2965821/1048576, -11863283/4194304]]]], [[11, 13, 1, 1, 3], [2^(1/2) < v, v
< 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], [4, 4], [-9, -9], [-2, -2], [-3/8388608,
-3/8388608]]]], [[11, 13, 1, 1, 4], [2^(1/2) < v, v < 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], [4, 4], [-9, -9],
[-2, -2], [741455/262144, 2965821/1048576]]]], [[11, 13, 1, 1, 5], [2^(1/2) <
v, v < 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], [4, 4], [-9, -9], [-2, -2], [4, 4]]]], [[1, 1, 5, 3, 1
], [v < -2^(1/2), u < v, And(-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x
+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4], [0, 0], [0,
0], [-4, -4]]]], [[1, 1, 5, 3, 2], [v < -2^(1/2), u < v, And(-1 < x,x < 1), 
And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [regular_chain
, [[-3, -3], [-4, -4], [0, 0], [0, 0], [-2965821/1048576, -11863283/4194304]]]
], [[1, 1, 5, 3, 3], [v < -2^(1/2), u < v, And(-1 < x,x < 1), And(-u^2+v^2-x-1
< y,y < u^2-v^2+x+1), And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [-4, -4], [0, 0], [0, 0], [-3/8388608, -3/8388608]]]
], [[1, 1, 5, 3, 4], [v < -2^(1/2), u < v, And(-1 < x,x < 1), And(-u^2+v^2-x-1
< y,y < u^2-v^2+x+1), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4,
-4], [0, 0], [0, 0], [741455/262144, 2965821/1048576]]]], [[1, 1, 5, 3, 5], [v
< -2^(1/2), u < v, And(-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (
u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-4, -4], [0, 0], [0, 0], [4
, 4]]]], [[1, 5, 3, 3, 1], [v < -2^(1/2), And(-(v^2-1)^(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 < -u^2+v^2-x-1), z =
z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-\
515541/2097152, -515541/2097152], [0, 0], [0, 0]]]], [[2, 8, 1, 4, 1], [v = -2
^(1/2), u = 1, x < -1, y = -x, z < 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [-2, -2], [2, 2], [-1, -1]]]], [[2, 8, 1, 4, 2], [v =
-2^(1/2), u = 1, x < -1, y = -x, z = 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [-2, -2], [2, 2], [0, 0]]]], [[2, 8, 1, 4, 3], [v = -2
^(1/2), u = 1, x < -1, y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [-2, -2], [2, 2], [1, 1]]]], [[2, 11, 7, 1, 1], [v = -
2^(1/2), -v < u, 1 < x, y < -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [2, 2], [-11, -11], [-4, -4]]]], [[2
, 11, 7, 1, 2], [v = -2^(1/2), -v < u, 1 < x, y < -u^2-x+1, z = -(u^2-1)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [2, 2], [-11,
-11], [-2965821/1048576, -11863283/4194304]]]], [[2, 11, 7, 1, 3], [v = -2^(1/
2), -v < u, 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], [3, 3], [2, 2], [-11, -11]
, [-3/8388608, -3/8388608]]]], [[2, 11, 7, 1, 4], [v = -2^(1/2), -v < u, 1 < x
, y < -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [2, 2], [-11, -11], [741455/262144, 2965821/1048576]]]
], [[2, 11, 7, 1, 5], [v = -2^(1/2), -v < u, 1 < x, y < -u^2-x+1, (u^2-1)^(1/2
) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [2, 2], [
-11, -11], [4, 4]]]], [[4, 2, 3, 5, 1], [v = -1, u = -1, And(-1 < x,x < 1), x+
1 < y, z < -1], [regular_chain, [[-1, -1], [-1, -1], [0, 0], [2, 2], [-2, -2]]
]], [[4, 2, 3, 5, 2], [v = -1, u = -1, And(-1 < x,x < 1), x+1 < y, z = -1], [
regular_chain, [[-1, -1], [-1, -1], [0, 0], [2, 2], [-1, -1]]]], [[4, 2, 3, 5,
3], [v = -1, u = -1, And(-1 < x,x < 1), x+1 < y, And(-1 < z,z < 1)], [
regular_chain, [[-1, -1], [-1, -1], [0, 0], [2, 2], [0, 0]]]], [[4, 2, 3, 5, 4
], [v = -1, u = -1, And(-1 < x,x < 1), x+1 < y, z = 1], [regular_chain, [[-1,
-1], [-1, -1], [0, 0], [2, 2], [1, 1]]]], [[4, 2, 3, 5, 5], [v = -1, u = -1, 
And(-1 < x,x < 1), x+1 < y, 1 < z], [regular_chain, [[-1, -1], [-1, -1], [0, 0
], [2, 2], [2, 2]]]], [[4, 6, 1, 5, 1], [v = -1, u = 1, x < -1, -1-x < y, z <
-1], [regular_chain, [[-1, -1], [1, 1], [-2, -2], [2, 2], [-2, -2]]]], [[4, 6,
1, 5, 2], [v = -1, u = 1, x < -1, -1-x < y, z = -1], [regular_chain, [[-1, -1]
, [1, 1], [-2, -2], [2, 2], [-1, -1]]]], [[4, 6, 1, 5, 3], [v = -1, u = 1, x <
-1, -1-x < y, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [1, 1], [-2, -2],
[2, 2], [0, 0]]]], [[4, 6, 1, 5, 4], [v = -1, u = 1, x < -1, -1-x < y, z = 1],
[regular_chain, [[-1, -1], [1, 1], [-2, -2], [2, 2], [1, 1]]]], [[4, 6, 1, 5,
5], [v = -1, u = 1, x < -1, -1-x < y, 1 < z], [regular_chain, [[-1, -1], [1, 1
], [-2, -2], [2, 2], [2, 2]]]], [[8, 2, 2, 1, 1], [v = 1, u = -1, x = -1, y <
0, z < -1], [regular_chain, [[1, 1], [-1, -1], [-1, -1], [-1, -1], [-2, -2]]]]
, [[8, 2, 2, 1, 2], [v = 1, u = -1, x = -1, y < 0, z = -1], [regular_chain, [[
1, 1], [-1, -1], [-1, -1], [-1, -1], [-1, -1]]]], [[8, 2, 2, 1, 3], [v = 1, u
= -1, x = -1, y < 0, And(-1 < z,z < 1)], [regular_chain, [[1, 1], [-1, -1], [-\
1, -1], [-1, -1], [0, 0]]]], [[8, 2, 2, 1, 4], [v = 1, u = -1, x = -1, y < 0,
z = 1], [regular_chain, [[1, 1], [-1, -1], [-1, -1], [-1, -1], [1, 1]]]], [[8,
2, 2, 1, 5], [v = 1, u = -1, x = -1, y < 0, 1 < z], [regular_chain, [[1, 1], [
-1, -1], [-1, -1], [-1, -1], [2, 2]]]], [[8, 5, 7, 3, 1], [v = 1, And(0 < u,u
< 1), 1 < x, And(-u^2-x < y,y < u^2+x), z < -u], [regular_chain, [[1, 1], [1/2
, 1/2], [2, 2], [0, 0], [-2, -2]]]], [[8, 5, 7, 3, 2], [v = 1, And(0 < u,u < 1
), 1 < x, And(-u^2-x < y,y < u^2+x), z = -u], [regular_chain, [[1, 1], [1/2, 1
/2], [2, 2], [0, 0], [-1/2, -1/2]]]], [[8, 5, 7, 3, 3], [v = 1, And(0 < u,u <
1), 1 < x, And(-u^2-x < y,y < u^2+x), And(-u < z,z < u)], [regular_chain, [[1,
1], [1/2, 1/2], [2, 2], [0, 0], [0, 0]]]], [[8, 5, 7, 3, 4], [v = 1, And(0 < u
,u < 1), 1 < x, And(-u^2-x < y,y < u^2+x), z = u], [regular_chain, [[1, 1], [1
/2, 1/2], [2, 2], [0, 0], [1/2, 1/2]]]], [[8, 5, 7, 3, 5], [v = 1, And(0 < u,u
< 1), 1 < x, And(-u^2-x < y,y < u^2+x), u < z], [regular_chain, [[1, 1], [1/2,
1/2], [2, 2], [0, 0], [2, 2]]]], [[10, 9, 7, 4, 1], [v = 2^(1/2), And(1 < u,u
< v), 1 < x, y = u^2+x-1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [1288231/
524288, 2576463/1048576], [-2, -2]]]], [[10, 9, 7, 4, 2], [v = 2^(1/2), And(1
< u,u < v), 1 < x, y = u^2+x-1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [1288231
/524288, 2576463/1048576], [-1417877/2097152, -354469/524288]]]], [[10, 9, 7,
4, 3], [v = 2^(1/2), And(1 < u,u < v), 1 < x, y = u^2+x-1, And(-(u^2-1)^(1/2)
< z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [2, 2], [1288231/524288, 2576463/1048576],
[0, 0]]]], [[10, 9, 7, 4, 4], [v = 2^(1/2), And(1 < u,u < v), 1 < x, y = u^2+x
-1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [2, 2], [1288231/524288, 2576463/1048576],
[354469/524288, 708939/1048576]]]], [[10, 9, 7, 4, 5], [v = 2^(1/2), And(1 < u
,u < v), 1 < x, y = u^2+x-1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [1288231
/524288, 2576463/1048576], [2, 2]]]], [[11, 3, 1, 1, 1], [2^(1/2) < v, And(-v
< u,u < -(v^2-1)^(1/2)), 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], [-2, -2], [-3, -\
3], [-2, -2]]]], [[11, 3, 1, 1, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2
)), 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], [-2, -2], [-3, -3], [-735979/1048576, -\
1471957/2097152]]]], [[11, 3, 1, 1, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^
(1/2)), 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], [-2, -2]
, [-3, -3], [-1/4194304, -1/4194304]]]], [[11, 3, 1, 1, 4], [2^(1/2) < v, And(
-v < u,u < -(v^2-1)^(1/2)), 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], [-2, -2], [-3, -\
3], [367989/524288, 735979/1048576]]]], [[11, 3, 1, 1, 5], [2^(1/2) < v, And(-
v < u,u < -(v^2-1)^(1/2)), 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], [-2, -2], [-3, -\
3], [2, 2]]]], [[1, 11, 1, 5, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v)
, x < -1, -u^2+v^2-x-1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3]
, [6111549/2097152, 6111549/2097152], [-2, -2], [3, 3], [-2, -2]]]], [[1, 11,
1, 5, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x < -1, -u^2+v^2-x-1 <
y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [-2, -2], [3, 3], [-735979/1048576, -1471957/2097152]]]], [[
1, 11, 1, 5, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x < -1, -u^2+v^
2-x-1 < y, 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], [3, 3], [-1/4194304,
-1/4194304]]]], [[1, 11, 1, 5, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v
), x < -1, -u^2+v^2-x-1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3]
, [6111549/2097152, 6111549/2097152], [-2, -2], [3, 3], [367989/524288, 735979
/1048576]]]], [[1, 11, 1, 5, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
x < -1, -u^2+v^2-x-1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-2, -2], [3, 3], [2, 2]]]], [[2, 1, 7, 2,
1], [v = -2^(1/2), u < v, 1 < x, y = -u^2-x+1, z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [2, 2], [-10, -\
10], [-4, -4]]]], [[2, 1, 7, 2, 2], [v = -2^(1/2), u < v, 1 < x, y = -u^2-x+1,
z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3,
-3], [2, 2], [-10, -10], [-2965821/1048576, -11863283/4194304]]]], [[2, 1, 7,
2, 3], [v = -2^(1/2), 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], [-3, -3],
[2, 2], [-10, -10], [-3/8388608, -3/8388608]]]], [[2, 1, 7, 2, 4], [v = -2^(1/
2), u < v, 1 < x, y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [-3, -3], [2, 2], [-10, -10], [741455/262144, 
2965821/1048576]]]], [[2, 1, 7, 2, 5], [v = -2^(1/2), u < v, 1 < x, y = -u^2-x
+1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
-3, -3], [2, 2], [-10, -10], [4, 4]]]], [[3, 6, 3, 1, 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], [-2, -2], [-1, -1]]]], [[3, 6, 3, 1, 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], [-2
, -2], [0, 0]]]], [[3, 6, 3, 1, 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], [-2, -2], [1,
1]]]], [[4, 1, 1, 3, 1], [v = -1, u < -1, x < -u^2, And(u^2+x < y,y < -u^2-x),
z < u], [regular_chain, [[-1, -1], [-2, -2], [-5, -5], [0, 0], [-3, -3]]]], [[
4, 1, 1, 3, 2], [v = -1, u < -1, x < -u^2, And(u^2+x < y,y < -u^2-x), z = u],
[regular_chain, [[-1, -1], [-2, -2], [-5, -5], [0, 0], [-2, -2]]]], [[4, 1, 1,
3, 3], [v = -1, u < -1, x < -u^2, And(u^2+x < y,y < -u^2-x), And(u < z,z < -u)
], [regular_chain, [[-1, -1], [-2, -2], [-5, -5], [0, 0], [0, 0]]]], [[4, 1, 1
, 3, 4], [v = -1, u < -1, x < -u^2, And(u^2+x < y,y < -u^2-x), z = -u], [
regular_chain, [[-1, -1], [-2, -2], [-5, -5], [0, 0], [2, 2]]]], [[4, 1, 1, 3,
5], [v = -1, u < -1, x < -u^2, And(u^2+x < y,y < -u^2-x), -u < z], [
regular_chain, [[-1, -1], [-2, -2], [-5, -5], [0, 0], [3, 3]]]], [[5, 5, 2, 2,
1], [And(-1 < v,v < 0), -v < u, x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [2, 2], [-19/4, -19/4], [0, 0], [-4, -4]]]],
[[5, 5, 2, 2, 2], [And(-1 < v,v < 0), -v < u, x = -u^2+v^2-1, y = 0, z = -(u^2
-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [-19/4, -19/4], [0, 0],
[-2285319/1048576, -1142659/524288]]]], [[5, 5, 2, 2, 3], [And(-1 < v,v < 0),
-v < 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], [2, 2], [-19/4, -19/4], [0, 0], [0, 0]]]],
[[5, 5, 2, 2, 4], [And(-1 < v,v < 0), -v < u, x = -u^2+v^2-1, y = 0, z = (u^2-
v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [-19/4, -19/4], [0, 0],
[1142659/524288, 2285319/1048576]]]], [[5, 5, 2, 2, 5], [And(-1 < v,v < 0), -v
< u, x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1
/2], [2, 2], [-19/4, -19/4], [0, 0], [4, 4]]]], [[6, 3, 7, 4, 1], [v = 0, 0 <
u, 1 < x, y = u^2+x+1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [
2, 2], [4, 4], [-3, -3]]]], [[6, 3, 7, 4, 2], [v = 0, 0 < u, 1 < x, y = u^2+x+
1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [2, 2], [4, 4], [-\
1482911/1048576, -741455/524288]]]], [[6, 3, 7, 4, 3], [v = 0, 0 < u, 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, 1], [2, 2], [4, 4], [0, 0]]]], [[6, 3, 7, 4, 4], [v = 0, 0 < u, 1 < x, y
= u^2+x+1, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [2, 2], [4, 4]
, [741455/524288, 1482911/1048576]]]], [[6, 3, 7, 4, 5], [v = 0, 0 < u, 1 < x,
y = u^2+x+1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [2, 2], [4,
4], [3, 3]]]], [[9, 4, 5, 5, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2),
And(0 < x,x < 1), x < y, z < 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [1/2, 1/2], [2, 2], [-1, -1]]]],
[[9, 4, 5, 5, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(0 < x,x < 1
), x < y, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1417877/2097152, -354469/524288], [1/2, 1/2], [2, 2], [0, 0]]]], [[9, 4, 5, 5,
3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(0 < x,x < 1), x < y, 0 <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [1/2, 1/2], [2, 2], [1, 1]]]], [[9, 8, 1, 5, 1], [And(1 < v,v
< 2^(1/2)), u = v, x < -1, -1-x < y, z < -1], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [2, 2
], [-2, -2]]]], [[9, 8, 1, 5, 2], [And(1 < v,v < 2^(1/2)), u = v, x < -1, -1-x
< y, z = -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [-2, -2], [2, 2], [-1, -1]]]], [[9, 8, 1, 5, 3], [
And(1 < v,v < 2^(1/2)), u = v, x < -1, -1-x < y, And(-1 < z,z < 1)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [-2, -2], [2, 2], [0, 0]]]], [[9, 8, 1, 5, 4], [And(1 < v,v < 2^(1/2
)), u = v, x < -1, -1-x < y, z = 1], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [2, 2], [1, 1]
]]], [[9, 8, 1, 5, 5], [And(1 < v,v < 2^(1/2)), u = v, x < -1, -1-x < y, 1 < z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 
1265743/1048576], [-2, -2], [2, 2], [2, 2]]]], [[9, 9, 6, 2, 1], [And(1 < v,v
< 2^(1/2)), v < u, x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1, 1], [-20012899
/2097152, -10006449/1048576], [-4, -4]]]], [[9, 9, 6, 2, 2], [And(1 < v,v < 2^
(1/2)), v < u, x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [3, 3], [1, 1], [-20012899/2097152, -\
10006449/1048576], [-1532401/524288, -24518415/8388608]]]], [[9, 9, 6, 2, 3],
[And(1 < v,v < 2^(1/2)), v < u, x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2)
< z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [1, 1], [-20012899/2097152, -10006449/1048576], [-7/16777216
, -7/16777216]]]], [[9, 9, 6, 2, 4], [And(1 < v,v < 2^(1/2)), v < u, x = 1, y
= -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [1, 1], [-20012899/2097152, -10006449/1048576], [
3064801/1048576, 1532401/524288]]]], [[9, 9, 6, 2, 5], [And(1 < v,v < 2^(1/2))
, v < u, x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [1, 1], [-20012899/2097152, -\
10006449/1048576], [4, 4]]]], [[10, 4, 4, 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, 4, 4, 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, 4, 4, 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]]]], [[11, 9, 2, 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 < -u^2+v^2), z = z], [regular_chain, [[3
, 3], [1435023/524288, 1435023/524288], [-1, -1], [0, 0], [0, 0]]]], [[11, 12,
5, 5, 1], [2^(1/2) < v, u = v, 1 < x, x+1 < y, z < -1], [regular_chain, [[3, 3
], [3, 3], [2, 2], [4, 4], [-2, -2]]]], [[11, 12, 5, 5, 2], [2^(1/2) < v, u =
v, 1 < x, x+1 < y, z = -1], [regular_chain, [[3, 3], [3, 3], [2, 2], [4, 4], [
-1, -1]]]], [[11, 12, 5, 5, 3], [2^(1/2) < v, u = v, 1 < x, x+1 < y, And(-1 <
z,z < 1)], [regular_chain, [[3, 3], [3, 3], [2, 2], [4, 4], [0, 0]]]], [[11, 
12, 5, 5, 4], [2^(1/2) < v, u = v, 1 < x, x+1 < y, z = 1], [regular_chain, [[3
, 3], [3, 3], [2, 2], [4, 4], [1, 1]]]], [[11, 12, 5, 5, 5], [2^(1/2) < v, u =
v, 1 < x, x+1 < y, 1 < z], [regular_chain, [[3, 3], [3, 3], [2, 2], [4, 4], [2
, 2]]]], [[1, 11, 5, 1, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(
-u^2+v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [532005/2097152,
532005/2097152], [-2, -2], [-2, -2]]]], [[1, 11, 5, 1, 2], [v < -2^(1/2), And(
(v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z = -(
u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [532005/2097152, 532005/2097152], [-2, -2], [-735979/1048576, -\
1471957/2097152]]]], [[1, 11, 5, 1, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), And(-u^2+v^2-1 < x,x < 1), y < -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z
,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152, 6111549
/2097152], [532005/2097152, 532005/2097152], [-2, -2], [-1/4194304, -1/4194304
]]]], [[1, 11, 5, 1, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-u^
2+v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain,
[[-3, -3], [6111549/2097152, 6111549/2097152], [532005/2097152, 532005/2097152
], [-2, -2], [367989/524288, 735979/1048576]]]], [[1, 11, 5, 1, 5], [v < -2^(1
/2), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 1), y < -u^2+v^2-x-\
1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [532005/2097152, 532005/2097152], [-2, -2], [2, 2]]]], [[2,
2, 2, 2, 1], [v = -2^(1/2), u = v, x = -1, y = 0, z < -1], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-1, -1]
, [0, 0], [-2, -2]]]], [[2, 2, 2, 2, 2], [v = -2^(1/2), u = v, x = -1, y = 0,
z = -1], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [-1, -1], [0, 0], [-1, -1]]]], [[2, 2, 2, 2, 3], [v
= -2^(1/2), u = v, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-1, -1]
, [0, 0], [0, 0]]]], [[2, 2, 2, 2, 4], [v = -2^(1/2), u = v, x = -1, y = 0, z
= 1], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576,
-741455/524288], [-1, -1], [0, 0], [1, 1]]]], [[2, 2, 2, 2, 5], [v = -2^(1/2),
u = v, x = -1, y = 0, 1 < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1482911/1048576, -741455/524288], [-1, -1], [0, 0], [2, 2]]]], [[3,
6, 2, 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, 6, 2, 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, 6, 2, 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, 9
, 7, 2, 1], [And(-2^(1/2) < v,v < -1), -v < u, 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], [2, 2], [-5527513/524288, -11055025/1048576], [-4, -4]]]], [[3, 9, 7, 2, 2
], [And(-2^(1/2) < v,v < -1), -v < u, 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], [2, 2
], [-5527513/524288, -11055025/1048576], [-1532401/524288, -24518415/8388608]]
]], [[3, 9, 7, 2, 3], [And(-2^(1/2) < v,v < -1), -v < u, 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], [2, 2], [-5527513/524288, -\
11055025/1048576], [-7/16777216, -7/16777216]]]], [[3, 9, 7, 2, 4], [And(-2^(1
/2) < v,v < -1), -v < u, 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], [2, 2], [-\
5527513/524288, -11055025/1048576], [3064801/1048576, 1532401/524288]]]], [[3,
9, 7, 2, 5], [And(-2^(1/2) < v,v < -1), -v < u, 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], [2, 2], [-5527513/524288, -11055025/1048576], [4, 4]]]], [[5, 5, 5, 3, 1],
[And(-1 < v,v < 0), -v < u, And(-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^
2+x+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [0, 0]
, [0, 0], [-4, -4]]]], [[5, 5, 5, 3, 2], [And(-1 < v,v < 0), -v < u, And(-1 <
x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [2, 2], [0, 0], [0, 0], [-2285319/1048576, -\
1142659/524288]]]], [[5, 5, 5, 3, 3], [And(-1 < v,v < 0), -v < u, And(-1 < x,x
< 1), And(-u^2+v^2-x-1 < y,y < u^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], [2, 2], [0, 0], [0, 0], [0,
0]]]], [[5, 5, 5, 3, 4], [And(-1 < v,v < 0), -v < u, And(-1 < x,x < 1), And(-u
^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/
2, -1/2], [2, 2], [0, 0], [0, 0], [1142659/524288, 2285319/1048576]]]], [[5, 5
, 5, 3, 5], [And(-1 < v,v < 0), -v < u, And(-1 < x,x < 1), And(-u^2+v^2-x-1 <
y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [2,
2], [0, 0], [0, 0], [4, 4]]]], [[7, 1, 3, 1, 1], [And(0 < v,v < 1), 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], [-2, -2], [-23/8, -23/8], [-3, -3], [-4, -4]]]], [
[7, 1, 3, 1, 2], [And(0 < v,v < 1), 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], [-2, -2], [-\
23/8, -23/8], [-3, -3], [-2285319/1048576, -1142659/524288]]]], [[7, 1, 3, 1,
3], [And(0 < v,v < 1), 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
], [-2, -2], [-23/8, -23/8], [-3, -3], [0, 0]]]], [[7, 1, 3, 1, 4], [And(0 < v
,v < 1), 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], [-2, -2], [-23/8, -23/8], [-3, -3], [
1142659/524288, 2285319/1048576]]]], [[7, 1, 3, 1, 5], [And(0 < v,v < 1), 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], [-2, -2], [-23/8, -23/8], [-3, -3], [4, 4]]]], [[9
, 4, 5, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(0 < x,x < 1),
And(-x < y,y < x), z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-1417877/2097152, -354469/524288], [1/2, 1/2], [0, 0], [-1, -1]]]], [[9, 4,
5, 3, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(-
x < y,y < x), z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1417877/2097152, -354469/524288], [1/2, 1/2], [0, 0], [0, 0]]]], [[9, 4, 5, 3,
3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(-x < y,
y < x), 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877
/2097152, -354469/524288], [1/2, 1/2], [0, 0], [1, 1]]]], [[9, 7, 7, 4, 1], [
And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, y = u^2-v^2+x+1,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[987341/1048576, 987341/1048576], [2, 2], [2547523/1048576, 636881/262144], [-\
2, -2]]]], [[9, 7, 7, 4, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u
< v), 1 < x, y = u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [
2547523/1048576, 636881/262144], [-1374407/2097152, -687203/1048576]]]], [[9,
7, 7, 4, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, y =
u^2-v^2+x+1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [2547523/1048576, 636881/262144], [0, 0]]]], [[9, 7, 7, 4, 4
], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, y = u^2-v^2+x
+1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [987341/1048576, 987341/1048576], [2, 2], [2547523/1048576, 636881/262144],
[687203/1048576, 171801/262144]]]], [[9, 7, 7, 4, 5], [And(1 < v,v < 2^(1/2)),
And((v^2-1)^(1/2) < u,u < v), 1 < x, y = u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [2547523/1048576, 636881/262144], [2, 2]]]], [[9, 9, 7, 3, 1
], [And(1 < v,v < 2^(1/2)), v < u, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1
), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [3, 3], [2, 2], [0, 0], [-4, -4]]]], [[9, 9, 7, 3, 2], [And(1 < v,v < 2^(1/
2)), v < u, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [2, 2], [0,
0], [-1532401/524288, -24518415/8388608]]]], [[9, 9, 7, 3, 3], [And(1 < v,v <
2^(1/2)), v < u, 1 < x, And(-u^2+v^2-x-1 < y,y < u^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], [2, 2], [0, 0], [-7/16777216, -7/16777216]]]], [[9,
9, 7, 3, 4], [And(1 < v,v < 2^(1/2)), v < u, 1 < x, And(-u^2+v^2-x-1 < y,y < u
^2-v^2+x+1), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [2, 2], [0, 0], [3064801/1048576, 1532401/524288]]]]
, [[9, 9, 7, 3, 5], [And(1 < v,v < 2^(1/2)), v < u, 1 < x, And(-u^2+v^2-x-1 <
y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [3, 3], [2, 2], [0, 0], [4, 4]]]], [[10, 4, 5, 1, 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], [-2, -2], [-1, -1]]]], [[10, 4
, 5, 1, 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], [-2, -\
2], [0, 0]]]], [[10, 4, 5, 1, 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], [-2, -2], [1, 1]]]], [[11, 8, 5, 3, 1], [2^(1/2) < v, u = (v^2-2)^(1/2),
1 < x, And(-x+1 < y,y < x-1), z = z], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [2, 2], [0, 0], [0, 0]]]], [[11, 12, 3, 1, 1], [2^(1/2)
< v, u = v, And(-1 < x,x < 1), y < -1-x, z < -1], [regular_chain, [[3, 3], [3,
3], [0, 0], [-2, -2], [-2, -2]]]], [[11, 12, 3, 1, 2], [2^(1/2) < v, u = v, 
And(-1 < x,x < 1), y < -1-x, z = -1], [regular_chain, [[3, 3], [3, 3], [0, 0],
[-2, -2], [-1, -1]]]], [[11, 12, 3, 1, 3], [2^(1/2) < v, u = v, And(-1 < x,x <
1), y < -1-x, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [3, 3], [0, 0], [-2
, -2], [0, 0]]]], [[11, 12, 3, 1, 4], [2^(1/2) < v, u = v, And(-1 < x,x < 1),
y < -1-x, z = 1], [regular_chain, [[3, 3], [3, 3], [0, 0], [-2, -2], [1, 1]]]]
, [[11, 12, 3, 1, 5], [2^(1/2) < v, u = v, And(-1 < x,x < 1), y < -1-x, 1 < z]
, [regular_chain, [[3, 3], [3, 3], [0, 0], [-2, -2], [2, 2]]]], [[1, 1, 6, 4,
1], [v < -2^(1/2), u < v, x = 1, y = u^2-v^2+2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-4, -4], [1, 1], [9, 9], [-4, -4]]]], [[1, 1, 6, 4,
2], [v < -2^(1/2), u < v, x = 1, y = u^2-v^2+2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-4, -4], [1, 1], [9, 9], [-2965821/1048576, -\
11863283/4194304]]]], [[1, 1, 6, 4, 3], [v < -2^(1/2), 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], [-4, -4], [1, 1], [9, 9], [-3/8388608, -3/8388608]]]], [[1, 1, 6, 4, 4]
, [v < -2^(1/2), u < v, x = 1, y = u^2-v^2+2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-4, -4], [1, 1], [9, 9], [741455/262144, 2965821/
1048576]]]], [[1, 1, 6, 4, 5], [v < -2^(1/2), u < v, x = 1, y = u^2-v^2+2, (u^
2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-4, -4], [1, 1], [9, 9], [4,
4]]]], [[1, 5, 3, 5, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1
/2)), And(-1 < x,x < -u^2+v^2-1), -u^2+v^2-x-1 < y, z = z], [regular_chain, [[
-3, -3], [-22960369/8388608, -22960369/8388608], [-515541/2097152, -515541/
2097152], [2, 2], [0, 0]]]], [[2, 7, 6, 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, 11, 4, 2, 1], [v = -2^(1/2), -
v < 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, 11, 4,
2, 2], [v = -2^(1/2), -v < 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, 11, 4, 2, 3], [v = -2^(1/2),
-v < 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, 11, 4, 2, 4], [v = -2^(1/2), -v < 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
, 11, 4, 2, 5], [v = -2^(1/2), -v < 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]]]], [[4, 2, 5, 1, 1], [v = -1, u = -1, 1 < x, y < -1-x, z < -1], [
regular_chain, [[-1, -1], [-1, -1], [2, 2], [-4, -4], [-2, -2]]]], [[4, 2, 5,
1, 2], [v = -1, u = -1, 1 < x, y < -1-x, z = -1], [regular_chain, [[-1, -1], [
-1, -1], [2, 2], [-4, -4], [-1, -1]]]], [[4, 2, 5, 1, 3], [v = -1, u = -1, 1 <
x, y < -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [-1, -1], [2, 2],
[-4, -4], [0, 0]]]], [[4, 2, 5, 1, 4], [v = -1, u = -1, 1 < x, y < -1-x, z = 1
], [regular_chain, [[-1, -1], [-1, -1], [2, 2], [-4, -4], [1, 1]]]], [[4, 2, 5
, 1, 5], [v = -1, u = -1, 1 < x, y < -1-x, 1 < z], [regular_chain, [[-1, -1],
[-1, -1], [2, 2], [-4, -4], [2, 2]]]], [[4, 6, 2, 2, 1], [v = -1, u = 1, x = -\
1, y = 0, z < -1], [regular_chain, [[-1, -1], [1, 1], [-1, -1], [0, 0], [-2, -\
2]]]], [[4, 6, 2, 2, 2], [v = -1, u = 1, x = -1, y = 0, z = -1], [
regular_chain, [[-1, -1], [1, 1], [-1, -1], [0, 0], [-1, -1]]]], [[4, 6, 2, 2,
3], [v = -1, u = 1, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-1, -\
1], [1, 1], [-1, -1], [0, 0], [0, 0]]]], [[4, 6, 2, 2, 4], [v = -1, u = 1, x =
-1, y = 0, z = 1], [regular_chain, [[-1, -1], [1, 1], [-1, -1], [0, 0], [1, 1]
]]], [[4, 6, 2, 2, 5], [v = -1, u = 1, x = -1, y = 0, 1 < z], [regular_chain,
[[-1, -1], [1, 1], [-1, -1], [0, 0], [2, 2]]]], [[8, 1, 7, 1, 1], [v = 1, u <
-1, 1 < x, y < -u^2-x, z < u], [regular_chain, [[1, 1], [-2, -2], [2, 2], [-7,
-7], [-3, -3]]]], [[8, 1, 7, 1, 2], [v = 1, u < -1, 1 < x, y < -u^2-x, z = u],
[regular_chain, [[1, 1], [-2, -2], [2, 2], [-7, -7], [-2, -2]]]], [[8, 1, 7, 1
, 3], [v = 1, u < -1, 1 < x, y < -u^2-x, And(u < z,z < -u)], [regular_chain, [
[1, 1], [-2, -2], [2, 2], [-7, -7], [0, 0]]]], [[8, 1, 7, 1, 4], [v = 1, u < -\
1, 1 < x, y < -u^2-x, z = -u], [regular_chain, [[1, 1], [-2, -2], [2, 2], [-7,
-7], [2, 2]]]], [[8, 1, 7, 1, 5], [v = 1, u < -1, 1 < x, y < -u^2-x, -u < z],
[regular_chain, [[1, 1], [-2, -2], [2, 2], [-7, -7], [3, 3]]]], [[8, 5, 4, 2,
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, 5, 4, 2, 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, 5, 4, 2, 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, 5, 4, 2, 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, 5, 4, 2, 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]
]]], [[10, 10, 3, 5, 1], [v = 2^(1/2), u = v, And(-1 < x,x < 1), x+1 < y, z <
-1], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 
1482911/1048576], [0, 0], [2, 2], [-2, -2]]]], [[10, 10, 3, 5, 2], [v = 2^(1/2
), u = v, And(-1 < x,x < 1), x+1 < y, z = -1], [regular_chain, [[741455/524288
, 1482911/1048576], [741455/524288, 1482911/1048576], [0, 0], [2, 2], [-1, -1]
]]], [[10, 10, 3, 5, 3], [v = 2^(1/2), u = v, And(-1 < x,x < 1), x+1 < y, And(
-1 < z,z < 1)], [regular_chain, [[741455/524288, 1482911/1048576], [741455/
524288, 1482911/1048576], [0, 0], [2, 2], [0, 0]]]], [[10, 10, 3, 5, 4], [v =
2^(1/2), u = v, And(-1 < x,x < 1), x+1 < y, z = 1], [regular_chain, [[741455/
524288, 1482911/1048576], [741455/524288, 1482911/1048576], [0, 0], [2, 2], [1
, 1]]]], [[10, 10, 3, 5, 5], [v = 2^(1/2), u = v, And(-1 < x,x < 1), x+1 < y,
1 < z], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 
1482911/1048576], [0, 0], [2, 2], [2, 2]]]], [[11, 3, 3, 1, 1], [2^(1/2) < v,
And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2+x+1, z
< -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-391287/524288, -391287/524288], [-2, -2], [-2, -2]]]], [[11, 3, 3,
1, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1
), y < u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288], [-2, -2]
, [-735979/1048576, -1471957/2097152]]]], [[11, 3, 3, 1, 3], [2^(1/2) < v, And
(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2+x+1, And(
-(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], [-2, -2]
, [-1/4194304, -1/4194304]]]], [[11, 3, 3, 1, 4], [2^(1/2) < v, And(-v < u,u <
-(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2+x+1, z = (u^2-v^2+1)^
(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-\
391287/524288, -391287/524288], [-2, -2], [367989/524288, 735979/1048576]]]],
[[11, 3, 3, 1, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x
< -u^2+v^2-1), y < u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3
], [-6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288], [-2
, -2], [2, 2]]]], [[1, 11, 4, 3, 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+1)^(1/2)], [regular_chain, [[-3, -3]
, [6111549/2097152, 6111549/2097152], [-129143/262144, -516571/1048576], [1, 1
], [-2, -2]]]], [[1, 11, 4, 3, 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+1)^(1/2)], [regular_chain, [[-3, -3],
[6111549/2097152, 6111549/2097152], [-129143/262144, -516571/1048576], [1, 1],
[-735979/1048576, -1471957/2097152]]]], [[1, 11, 4, 3, 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+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-129143/262144, -516571/1048576], [1, 1], [-1/4194304, -1/4194304]]
]], [[1, 11, 4, 3, 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+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-129143/262144, -516571/1048576], [1, 1], [367989/
524288, 735979/1048576]]]], [[1, 11, 4, 3, 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+1)^(1/2) < z], [regular_chain,
[[-3, -3], [6111549/2097152, 6111549/2097152], [-129143/262144, -516571/
1048576], [1, 1], [2, 2]]]], [[2, 2, 2, 1, 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], [-1, -1], [-2, -2]]]], [[2, 2, 2, 1, 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], [-1, -\
1], [-1, -1]]]], [[2, 2, 2, 1, 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], [-1, -1], [0, 0]]]], [[2, 2, 2, 1, 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], [-1, -1], [1, 1
]]]], [[2, 2, 2, 1, 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], [-1, -1], [2, 2]]]], [[3, 6, 2, 5, 1], [And(-2^(1/2) < v,v
< -1), u = (v^2-1)^(1/2), x = -1, 1 < y, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-1, -1], [2, 2],
[-1, -1]]]], [[3, 6, 2, 5, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x
= -1, 1 < y, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
354469/524288, 708939/1048576], [-1, -1], [2, 2], [0, 0]]]], [[3, 6, 2, 5, 3],
[And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -1, 1 < y, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-1, -1], [2, 2], [1, 1]]]], [[3, 9, 7, 3, 1], [And(-2^(1/2) < v,v <
-1), -v < u, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [2, 2], [
0, 0], [-4, -4]]]], [[3, 9, 7, 3, 2], [And(-2^(1/2) < v,v < -1), -v < u, 1 < x
, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [2, 2], [0, 0],
[-1532401/524288, -24518415/8388608]]]], [[3, 9, 7, 3, 3], [And(-2^(1/2) < v,v
< -1), -v < u, 1 < x, And(-u^2+v^2-x-1 < y,y < u^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], [2, 2], [0, 0], [-7/16777216, -7/16777216]]]], [[3,
9, 7, 3, 4], [And(-2^(1/2) < v,v < -1), -v < u, 1 < x, And(-u^2+v^2-x-1 < y,y
< u^2-v^2+x+1), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [2, 2], [0, 0], [3064801/1048576, 1532401/524288]]]]
, [[3, 9, 7, 3, 5], [And(-2^(1/2) < v,v < -1), -v < u, 1 < x, And(-u^2+v^2-x-1
< y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [2, 2], [0, 0], [4, 4]]]], [[5, 5, 5, 2, 1
], [And(-1 < v,v < 0), -v < u, And(-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], [2, 2], [0, 0], [-19/4, -19/4],
[-4, -4]]]], [[5, 5, 5, 2, 2], [And(-1 < v,v < 0), -v < u, And(-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], [2,
2], [0, 0], [-19/4, -19/4], [-2285319/1048576, -1142659/524288]]]], [[5, 5, 5,
2, 3], [And(-1 < v,v < 0), -v < u, And(-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], [
2, 2], [0, 0], [-19/4, -19/4], [0, 0]]]], [[5, 5, 5, 2, 4], [And(-1 < v,v < 0)
, -v < u, And(-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], [2, 2], [0, 0], [-19/4, -19/4], [1142659/524288,
2285319/1048576]]]], [[5, 5, 5, 2, 5], [And(-1 < v,v < 0), -v < u, And(-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
], [2, 2], [0, 0], [-19/4, -19/4], [4, 4]]]], [[7, 1, 2, 3, 1], [And(0 < v,v <
1), u < -v, x = -u^2+v^2-1, 0 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1/2, 1/2], [-2, -2], [-19/4, -19/4], [1, 1], [-4, -4]]]], [[7, 1, 2, 3, 2], [
And(0 < v,v < 1), u < -v, x = -u^2+v^2-1, 0 < y, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-2, -2], [-19/4, -19/4], [1, 1], [-2285319/
1048576, -1142659/524288]]]], [[7, 1, 2, 3, 3], [And(0 < v,v < 1), u < -v, x =
-u^2+v^2-1, 0 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [-2, -2], [-19/4, -19/4], [1, 1], [0, 0]]]], [[7,
1, 2, 3, 4], [And(0 < v,v < 1), u < -v, x = -u^2+v^2-1, 0 < y, z = (u^2-v^2+1)
^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2], [-19/4, -19/4], [1, 1], [
1142659/524288, 2285319/1048576]]]], [[7, 1, 2, 3, 5], [And(0 < v,v < 1), u <
-v, x = -u^2+v^2-1, 0 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2]
, [-2, -2], [-19/4, -19/4], [1, 1], [4, 4]]]], [[9, 4, 5, 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, 4, 5, 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, 4, 5, 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, 7, 7, 5, 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 < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [4, 4], [-2, -2]]]], [[9, 7, 7, 5, 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 = -(u^2-v^2+1)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [2, 2], [4, 4], [-1374407/2097152, -687203/1048576]]]], [[9,
7, 7, 5, 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(-(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], [4, 4], [0, 0]]]], [[9, 7, 7, 5, 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 = (u^2-v^2+1)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341
/1048576], [2, 2], [4, 4], [687203/1048576, 171801/262144]]]], [[9, 7, 7, 5, 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, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [987341/1048576, 987341/1048576], [2, 2], [4, 4], [2, 2]]]], [[9, 9, 7, 2, 1
], [And(1 < v,v < 2^(1/2)), v < u, 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], [2, 2], [-\
5527513/524288, -11055025/1048576], [-4, -4]]]], [[9, 9, 7, 2, 2], [And(1 < v,
v < 2^(1/2)), v < u, 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], [2, 2], [-5527513/
524288, -11055025/1048576], [-1532401/524288, -24518415/8388608]]]], [[9, 9, 7
, 2, 3], [And(1 < v,v < 2^(1/2)), v < u, 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], [2, 2], [-5527513/524288, -11055025/1048576], [-7/
16777216, -7/16777216]]]], [[9, 9, 7, 2, 4], [And(1 < v,v < 2^(1/2)), v < u, 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], [2, 2], [-5527513/524288, -11055025/1048576
], [3064801/1048576, 1532401/524288]]]], [[9, 9, 7, 2, 5], [And(1 < v,v < 2^(1
/2)), v < u, 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], [2, 2], [-5527513/524288, -\
11055025/1048576], [4, 4]]]], [[10, 4, 4, 3, 1], [v = 2^(1/2), u = -1, x = 0,
0 < y, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [0
, 0], [1, 1], [-1, -1]]]], [[10, 4, 4, 3, 2], [v = 2^(1/2), u = -1, x = 0, 0 <
y, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [0, 0]
, [1, 1], [0, 0]]]], [[10, 4, 4, 3, 3], [v = 2^(1/2), u = -1, x = 0, 0 < y, 0
< z], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [0, 0], [1,
1], [1, 1]]]], [[11, 8, 5, 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, 12, 3, 2, 1], [2^(1/2) < v, u = v, And(-1 < x,x < 1),
y = -1-x, z < -1], [regular_chain, [[3, 3], [3, 3], [0, 0], [-1, -1], [-2, -2]
]]], [[11, 12, 3, 2, 2], [2^(1/2) < v, u = v, And(-1 < x,x < 1), y = -1-x, z =
-1], [regular_chain, [[3, 3], [3, 3], [0, 0], [-1, -1], [-1, -1]]]], [[11, 12,
3, 2, 3], [2^(1/2) < v, u = v, And(-1 < x,x < 1), y = -1-x, And(-1 < z,z < 1)]
, [regular_chain, [[3, 3], [3, 3], [0, 0], [-1, -1], [0, 0]]]], [[11, 12, 3, 2
, 4], [2^(1/2) < v, u = v, And(-1 < x,x < 1), y = -1-x, z = 1], [regular_chain
, [[3, 3], [3, 3], [0, 0], [-1, -1], [1, 1]]]], [[11, 12, 3, 2, 5], [2^(1/2) <
v, u = v, And(-1 < x,x < 1), y = -1-x, 1 < z], [regular_chain, [[3, 3], [3, 3]
, [0, 0], [-1, -1], [2, 2]]]], [[1, 1, 6, 3, 1], [v < -2^(1/2), u < v, x = 1,
And(-u^2+v^2-2 < y,y < u^2-v^2+2), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[
-3, -3], [-4, -4], [1, 1], [0, 0], [-4, -4]]]], [[1, 1, 6, 3, 2], [v < -2^(1/2
), u < v, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-4, -4], [1, 1], [0, 0], [-2965821/1048576, -\
11863283/4194304]]]], [[1, 1, 6, 3, 3], [v < -2^(1/2), u < v, x = 1, And(-u^2+
v^2-2 < y,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], [-4, -4], [1, 1], [0, 0], [-3/8388608, -3/8388608]]
]], [[1, 1, 6, 3, 4], [v < -2^(1/2), u < v, x = 1, And(-u^2+v^2-2 < y,y < u^2-
v^2+2), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4], [1, 1], [
0, 0], [741455/262144, 2965821/1048576]]]], [[1, 1, 6, 3, 5], [v < -2^(1/2), u
< v, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-4, -4], [1, 1], [0, 0], [4, 4]]]], [[1, 5, 3, 4, 1
], [v < -2^(1/2), And(-(v^2-1)^(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], [-22960369/
8388608, -22960369/8388608], [-515541/2097152, -515541/2097152], [395403/
524288, 790807/1048576], [0, 0]]]], [[2, 7, 6, 5, 1], [v = -2^(1/2), And(0 < u
,u < 1), x = 1, u^2 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [1/2, 1/2], [1, 1], [2, 2], [0, 0]]]], [[2, 11, 4, 3, 1], [v = -2^(1/
2), -v < u, x = -1, And(-u^2+2 < y,y < u^2-2), z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1, -1], [0, 0],
[-4, -4]]]], [[2, 11, 4, 3, 2], [v = -2^(1/2), -v < u, x = -1, And(-u^2+2 < y,
y < u^2-2), z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [-1, -1], [0, 0], [-2965821/1048576, -11863283/4194304]]]], [
[2, 11, 4, 3, 3], [v = -2^(1/2), -v < u, x = -1, And(-u^2+2 < y,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], [0, 0], [-3/8388608, -3/8388608]]]], [[2,
11, 4, 3, 4], [v = -2^(1/2), -v < u, x = -1, And(-u^2+2 < y,y < u^2-2), z = (u
^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1
, -1], [0, 0], [741455/262144, 2965821/1048576]]]], [[2, 11, 4, 3, 5], [v = -2
^(1/2), -v < u, x = -1, And(-u^2+2 < y,y < u^2-2), (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1, -1], [0, 0],
[4, 4]]]], [[4, 2, 4, 5, 1], [v = -1, u = -1, x = 1, 2 < y, z < -1], [
regular_chain, [[-1, -1], [-1, -1], [1, 1], [3, 3], [-2, -2]]]], [[4, 2, 4, 5,
2], [v = -1, u = -1, x = 1, 2 < y, z = -1], [regular_chain, [[-1, -1], [-1, -1
], [1, 1], [3, 3], [-1, -1]]]], [[4, 2, 4, 5, 3], [v = -1, u = -1, x = 1, 2 <
y, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [-1, -1], [1, 1], [3, 3], [0
, 0]]]], [[4, 2, 4, 5, 4], [v = -1, u = -1, x = 1, 2 < y, z = 1], [
regular_chain, [[-1, -1], [-1, -1], [1, 1], [3, 3], [1, 1]]]], [[4, 2, 4, 5, 5
], [v = -1, u = -1, x = 1, 2 < y, 1 < z], [regular_chain, [[-1, -1], [-1, -1],
[1, 1], [3, 3], [2, 2]]]], [[4, 6, 2, 1, 1], [v = -1, u = 1, x = -1, y < 0, z
< -1], [regular_chain, [[-1, -1], [1, 1], [-1, -1], [-1, -1], [-2, -2]]]], [[4
, 6, 2, 1, 2], [v = -1, u = 1, x = -1, y < 0, z = -1], [regular_chain, [[-1, -\
1], [1, 1], [-1, -1], [-1, -1], [-1, -1]]]], [[4, 6, 2, 1, 3], [v = -1, u = 1,
x = -1, y < 0, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [1, 1], [-1, -1]
, [-1, -1], [0, 0]]]], [[4, 6, 2, 1, 4], [v = -1, u = 1, x = -1, y < 0, z = 1]
, [regular_chain, [[-1, -1], [1, 1], [-1, -1], [-1, -1], [1, 1]]]], [[4, 6, 2,
1, 5], [v = -1, u = 1, x = -1, y < 0, 1 < z], [regular_chain, [[-1, -1], [1, 1
], [-1, -1], [-1, -1], [2, 2]]]], [[8, 1, 7, 2, 1], [v = 1, u < -1, 1 < x, y =
-u^2-x, z < u], [regular_chain, [[1, 1], [-2, -2], [2, 2], [-6, -6], [-3, -3]]
]], [[8, 1, 7, 2, 2], [v = 1, u < -1, 1 < x, y = -u^2-x, z = u], [
regular_chain, [[1, 1], [-2, -2], [2, 2], [-6, -6], [-2, -2]]]], [[8, 1, 7, 2,
3], [v = 1, u < -1, 1 < x, y = -u^2-x, And(u < z,z < -u)], [regular_chain, [[1
, 1], [-2, -2], [2, 2], [-6, -6], [0, 0]]]], [[8, 1, 7, 2, 4], [v = 1, u < -1,
1 < x, y = -u^2-x, z = -u], [regular_chain, [[1, 1], [-2, -2], [2, 2], [-6, -6
], [2, 2]]]], [[8, 1, 7, 2, 5], [v = 1, u < -1, 1 < x, y = -u^2-x, -u < z], [
regular_chain, [[1, 1], [-2, -2], [2, 2], [-6, -6], [3, 3]]]], [[8, 5, 4, 3, 1
], [v = 1, And(0 < u,u < 1), x = -u^2, 0 < y, z < -u], [regular_chain, [[1, 1]
, [1/2, 1/2], [-1/4, -1/4], [1, 1], [-2, -2]]]], [[8, 5, 4, 3, 2], [v = 1, And
(0 < u,u < 1), x = -u^2, 0 < y, z = -u], [regular_chain, [[1, 1], [1/2, 1/2],
[-1/4, -1/4], [1, 1], [-1/2, -1/2]]]], [[8, 5, 4, 3, 3], [v = 1, And(0 < u,u <
1), x = -u^2, 0 < y, And(-u < z,z < u)], [regular_chain, [[1, 1], [1/2, 1/2],
[-1/4, -1/4], [1, 1], [0, 0]]]], [[8, 5, 4, 3, 4], [v = 1, And(0 < u,u < 1), x
= -u^2, 0 < y, z = u], [regular_chain, [[1, 1], [1/2, 1/2], [-1/4, -1/4], [1,
1], [1/2, 1/2]]]], [[8, 5, 4, 3, 5], [v = 1, And(0 < u,u < 1), x = -u^2, 0 < y
, u < z], [regular_chain, [[1, 1], [1/2, 1/2], [-1/4, -1/4], [1, 1], [2, 2]]]]
, [[10, 10, 3, 4, 1], [v = 2^(1/2), u = v, And(-1 < x,x < 1), y = x+1, z < -1]
, [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [0, 0], [1, 1], [-2, -2]]]], [[10, 10, 3, 4, 2], [v = 2^(1/2), u = v
, And(-1 < x,x < 1), y = x+1, z = -1], [regular_chain, [[741455/524288, 
1482911/1048576], [741455/524288, 1482911/1048576], [0, 0], [1, 1], [-1, -1]]]
], [[10, 10, 3, 4, 3], [v = 2^(1/2), u = v, And(-1 < x,x < 1), y = x+1, And(-1
< z,z < 1)], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288
, 1482911/1048576], [0, 0], [1, 1], [0, 0]]]], [[10, 10, 3, 4, 4], [v = 2^(1/2
), u = v, And(-1 < x,x < 1), y = x+1, z = 1], [regular_chain, [[741455/524288,
1482911/1048576], [741455/524288, 1482911/1048576], [0, 0], [1, 1], [1, 1]]]],
[[10, 10, 3, 4, 5], [v = 2^(1/2), u = v, And(-1 < x,x < 1), y = x+1, 1 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [0, 0], [1, 1], [2, 2]]]], [[11, 3, 2, 5, 1], [2^(1/2) < v, And(-v <
u,u < -(v^2-1)^(1/2)), x = -1, -u^2+v^2 < y, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [2, 2]
, [-2, -2]]]], [[11, 3, 2, 5, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2))
, x = -1, -u^2+v^2 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-1, -1], [2, 2], [-735979/1048576, -\
1471957/2097152]]]], [[11, 3, 2, 5, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^
(1/2)), x = -1, -u^2+v^2 < y, 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], [
2, 2], [-1/4194304, -1/4194304]]]], [[11, 3, 2, 5, 4], [2^(1/2) < v, And(-v <
u,u < -(v^2-1)^(1/2)), x = -1, -u^2+v^2 < y, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [2, 2]
, [367989/524288, 735979/1048576]]]], [[11, 3, 2, 5, 5], [2^(1/2) < v, And(-v
< u,u < -(v^2-1)^(1/2)), x = -1, -u^2+v^2 < y, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [2, 2]
, [2, 2]]]], [[1, 11, 4, 2, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-129143/262144, -516571/1048576], [0, 0],
[-2, -2]]]], [[1, 11, 4, 2, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-129143/262144, -516571/1048576], [0, 0],
[-735979/1048576, -1471957/2097152]]]], [[1, 11, 4, 2, 3], [v < -2^(1/2), And(
(v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-129143/262144, -516571/1048576], [0, 0], [-1/4194304, -1/4194304]]
]], [[1, 11, 4, 2, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+
v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-129143/262144, -516571/1048576], [0, 0], [367989/
524288, 735979/1048576]]]], [[1, 11, 4, 2, 5], [v < -2^(1/2), And((v^2-1)^(1/2
) < u,u < -v), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain,
[[-3, -3], [6111549/2097152, 6111549/2097152], [-129143/262144, -516571/
1048576], [0, 0], [2, 2]]]], [[2, 2, 3, 1, 1], [v = -2^(1/2), u = v, And(-1 <
x,x < 1), y < -1-x, z < -1], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1482911/1048576, -741455/524288], [0, 0], [-2, -2], [-2, -2]]]], [[
2, 2, 3, 1, 2], [v = -2^(1/2), u = v, And(-1 < x,x < 1), y < -1-x, z = -1], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [0, 0], [-2, -2], [-1, -1]]]], [[2, 2, 3, 1, 3], [v = -2^(1/2), u =
v, And(-1 < x,x < 1), y < -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1482911
/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [0, 0], [-2, -2
], [0, 0]]]], [[2, 2, 3, 1, 4], [v = -2^(1/2), u = v, And(-1 < x,x < 1), y < -\
1-x, z = 1], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [0, 0], [-2, -2], [1, 1]]]], [[2, 2, 3, 1, 5], [v =
-2^(1/2), u = v, And(-1 < x,x < 1), y < -1-x, 1 < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [0, 0],
[-2, -2], [2, 2]]]], [[3, 6, 2, 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, 6, 2, 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, 6, 2, 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, 9, 7, 4, 1], [And(-2^(1/2) < v,v < -1), -v < u, 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], [2, 2], [11055025/1048576, 5527513/524288]
, [-4, -4]]]], [[3, 9, 7, 4, 2], [And(-2^(1/2) < v,v < -1), -v < u, 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], [2, 2], [11055025/1048576, 5527513/524288], [-\
1532401/524288, -24518415/8388608]]]], [[3, 9, 7, 4, 3], [And(-2^(1/2) < v,v <
-1), -v < u, 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], [2,
2], [11055025/1048576, 5527513/524288], [-7/16777216, -7/16777216]]]], [[3, 9,
7, 4, 4], [And(-2^(1/2) < v,v < -1), -v < u, 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],
[2, 2], [11055025/1048576, 5527513/524288], [3064801/1048576, 1532401/524288]]
]], [[3, 9, 7, 4, 5], [And(-2^(1/2) < v,v < -1), -v < u, 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], [2, 2], [11055025/1048576, 5527513/524288], [4, 4]]]], [[5,
5, 5, 1, 1], [And(-1 < v,v < 0), -v < u, And(-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], [2, 2], [0, 0], [-6, -\
6], [-4, -4]]]], [[5, 5, 5, 1, 2], [And(-1 < v,v < 0), -v < u, And(-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],
[2, 2], [0, 0], [-6, -6], [-2285319/1048576, -1142659/524288]]]], [[5, 5, 5, 1
, 3], [And(-1 < v,v < 0), -v < u, And(-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], [2
, 2], [0, 0], [-6, -6], [0, 0]]]], [[5, 5, 5, 1, 4], [And(-1 < v,v < 0), -v <
u, And(-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], [2, 2], [0, 0], [-6, -6], [1142659/524288, 2285319/1048576]]]
], [[5, 5, 5, 1, 5], [And(-1 < v,v < 0), -v < u, And(-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], [2, 2], [0, 0],
[-6, -6], [4, 4]]]], [[7, 1, 3, 3, 1], [And(0 < v,v < 1), u < -v, And(-u^2+v^2
-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)]
, [regular_chain, [[1/2, 1/2], [-2, -2], [-23/8, -23/8], [0, 0], [-4, -4]]]],
[[7, 1, 3, 3, 2], [And(0 < v,v < 1), u < -v, And(-u^2+v^2-1 < x,x < -1), And(-
u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1
/2, 1/2], [-2, -2], [-23/8, -23/8], [0, 0], [-2285319/1048576, -1142659/524288
]]]], [[7, 1, 3, 3, 3], [And(0 < v,v < 1), u < -v, And(-u^2+v^2-1 < x,x < -1),
And(-u^2+v^2-x-1 < y,y < u^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], [-2, -2], [-23/8, -23/8], [0, 0], [0
, 0]]]], [[7, 1, 3, 3, 4], [And(0 < v,v < 1), u < -v, And(-u^2+v^2-1 < x,x < -\
1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-2, -2], [-23/8, -23/8], [0, 0], [1142659/524288,
2285319/1048576]]]], [[7, 1, 3, 3, 5], [And(0 < v,v < 1), u < -v, And(-u^2+v^2
-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z],
[regular_chain, [[1/2, 1/2], [-2, -2], [-23/8, -23/8], [0, 0], [4, 4]]]], [[9,
4, 5, 1, 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], [-2, -2], [-1, -1]]]], [[9, 4, 5, 1, 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], [-2, -2], [0, 0]]]], [[9, 4, 5, 1, 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], [-2, -2], [1, 1]]]], [[9, 8, 1, 1, 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], [-2, -2], [-2,
-2]]]], [[9, 8, 1, 1, 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], [-2, -2], [-1, -1]]]], [[9, 8, 1, 1, 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
], [-2, -2], [0, 0]]]], [[9, 8, 1, 1, 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], [-2, -2], [1, 1]]]], [[9, 8, 1, 1
, 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], [-2, -2], [2, 2]]]], [[9, 9, 7, 1, 1], [And(1 < v,v < 2^(1/2)), v < u, 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], [2, 2], [-12, -12], [-4, -4]]]], [[9, 9, 7,
1, 2], [And(1 < v,v < 2^(1/2)), v < u, 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], [2, 2]
, [-12, -12], [-1532401/524288, -24518415/8388608]]]], [[9, 9, 7, 1, 3], [And(
1 < v,v < 2^(1/2)), v < u, 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], [2, 2], [-12, -12], [-7/16777216, -7/16777216]]]], [[9, 9, 7, 1, 4], [
And(1 < v,v < 2^(1/2)), v < u, 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], [2, 2], [-12, -\
12], [3064801/1048576, 1532401/524288]]]], [[9, 9, 7, 1, 5], [And(1 < v,v < 2^
(1/2)), v < u, 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], [2, 2], [-12, -12], [4, 4]]]],
[[10, 4, 5, 3, 1], [v = 2^(1/2), u = -1, And(0 < x,x < 1), And(-x < y,y < x),
z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2
], [0, 0], [-1, -1]]]], [[10, 4, 5, 3, 2], [v = 2^(1/2), u = -1, And(0 < x,x <
1), And(-x < y,y < x), z = 0], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [1/2, 1/2], [0, 0], [0, 0]]]], [[10, 4, 5, 3, 3], [v = 2^(
1/2), u = -1, And(0 < x,x < 1), And(-x < y,y < x), 0 < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [0, 0], [1, 1]]]], [[11
, 8, 5, 1, 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], [-2, -2], [0, 0
]]]], [[11, 12, 3, 3, 1], [2^(1/2) < v, u = v, And(-1 < x,x < 1), And(-1-x < y
,y < x+1), z < -1], [regular_chain, [[3, 3], [3, 3], [0, 0], [0, 0], [-2, -2]]
]], [[11, 12, 3, 3, 2], [2^(1/2) < v, u = v, And(-1 < x,x < 1), And(-1-x < y,y
< x+1), z = -1], [regular_chain, [[3, 3], [3, 3], [0, 0], [0, 0], [-1, -1]]]],
[[11, 12, 3, 3, 3], [2^(1/2) < v, u = v, And(-1 < x,x < 1), And(-1-x < y,y < x
+1), And(-1 < z,z < 1)], [regular_chain, [[3, 3], [3, 3], [0, 0], [0, 0], [0,
0]]]], [[11, 12, 3, 3, 4], [2^(1/2) < v, u = v, And(-1 < x,x < 1), And(-1-x <
y,y < x+1), z = 1], [regular_chain, [[3, 3], [3, 3], [0, 0], [0, 0], [1, 1]]]]
, [[11, 12, 3, 3, 5], [2^(1/2) < v, u = v, And(-1 < x,x < 1), And(-1-x < y,y <
x+1), 1 < z], [regular_chain, [[3, 3], [3, 3], [0, 0], [0, 0], [2, 2]]]], [[1,
1, 6, 2, 1], [v < -2^(1/2), u < v, x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/
2)], [regular_chain, [[-3, -3], [-4, -4], [1, 1], [-9, -9], [-4, -4]]]], [[1,
1, 6, 2, 2], [v < -2^(1/2), u < v, x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/
2)], [regular_chain, [[-3, -3], [-4, -4], [1, 1], [-9, -9], [-2965821/1048576,
-11863283/4194304]]]], [[1, 1, 6, 2, 3], [v < -2^(1/2), 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], [-4, -4], [1, 1], [-9, -9], [-3/8388608, -3/8388608]]]], [[1, 1, 6, 2
, 4], [v < -2^(1/2), u < v, x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-4, -4], [1, 1], [-9, -9], [741455/262144, 2965821/
1048576]]]], [[1, 1, 6, 2, 5], [v < -2^(1/2), u < v, x = 1, y = -u^2+v^2-2, (u
^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-4, -4], [1, 1], [-9, -9], [
4, 4]]]], [[1, 5, 4, 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]]]
], [[2, 7, 6, 2, 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, 11, 4, 4, 1], [v = -2^(1/2), -v < 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, 11, 4, 4, 2], [v = -2^(1/2), -v < 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, 11, 4, 4, 3], [v = -2^(1/2), -v < 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, 11
, 4, 4, 4], [v = -2^(1/2), -v < 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, 11, 4, 4, 5], [v = -2^(1/2), -v < 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]]]], [[4, 2, 4, 4, 1], [v = -1
, u = -1, x = 1, y = 2, z < -1], [regular_chain, [[-1, -1], [-1, -1], [1, 1],
[2, 2], [-2, -2]]]], [[4, 2, 4, 4, 2], [v = -1, u = -1, x = 1, y = 2, z = -1],
[regular_chain, [[-1, -1], [-1, -1], [1, 1], [2, 2], [-1, -1]]]], [[4, 2, 4, 4
, 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, 2, 4, 4, 4], [v = -1, u = -1, x
= 1, y = 2, z = 1], [regular_chain, [[-1, -1], [-1, -1], [1, 1], [2, 2], [1, 1
]]]], [[4, 2, 4, 4, 5], [v = -1, u = -1, x = 1, y = 2, 1 < z], [regular_chain,
[[-1, -1], [-1, -1], [1, 1], [2, 2], [2, 2]]]], [[4, 6, 3, 1, 1], [v = -1, u =
1, And(-1 < x,x < 1), y < -1-x, z < -1], [regular_chain, [[-1, -1], [1, 1], [0
, 0], [-2, -2], [-2, -2]]]], [[4, 6, 3, 1, 2], [v = -1, u = 1, And(-1 < x,x <
1), y < -1-x, z = -1], [regular_chain, [[-1, -1], [1, 1], [0, 0], [-2, -2], [-\
1, -1]]]], [[4, 6, 3, 1, 3], [v = -1, u = 1, And(-1 < x,x < 1), y < -1-x, And(
-1 < z,z < 1)], [regular_chain, [[-1, -1], [1, 1], [0, 0], [-2, -2], [0, 0]]]]
, [[4, 6, 3, 1, 4], [v = -1, u = 1, And(-1 < x,x < 1), y < -1-x, z = 1], [
regular_chain, [[-1, -1], [1, 1], [0, 0], [-2, -2], [1, 1]]]], [[4, 6, 3, 1, 5
], [v = -1, u = 1, And(-1 < x,x < 1), y < -1-x, 1 < z], [regular_chain, [[-1,
-1], [1, 1], [0, 0], [-2, -2], [2, 2]]]], [[8, 1, 6, 4, 1], [v = 1, u < -1, x
= 1, y = u^2+1, z < u], [regular_chain, [[1, 1], [-2, -2], [1, 1], [5, 5], [-3
, -3]]]], [[8, 1, 6, 4, 2], [v = 1, u < -1, x = 1, y = u^2+1, z = u], [
regular_chain, [[1, 1], [-2, -2], [1, 1], [5, 5], [-2, -2]]]], [[8, 1, 6, 4, 3
], [v = 1, u < -1, x = 1, y = u^2+1, And(u < z,z < -u)], [regular_chain, [[1,
1], [-2, -2], [1, 1], [5, 5], [0, 0]]]], [[8, 1, 6, 4, 4], [v = 1, u < -1, x =
1, y = u^2+1, z = -u], [regular_chain, [[1, 1], [-2, -2], [1, 1], [5, 5], [2,
2]]]], [[8, 1, 6, 4, 5], [v = 1, u < -1, x = 1, y = u^2+1, -u < z], [
regular_chain, [[1, 1], [-2, -2], [1, 1], [5, 5], [3, 3]]]], [[8, 5, 5, 1, 1],
[v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 1), y < -u^2-x, z < -u], [
regular_chain, [[1, 1], [1/2, 1/2], [3/8, 3/8], [-2, -2], [-2, -2]]]], [[8, 5,
5, 1, 2], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 1), y < -u^2-x, z = -u],
[regular_chain, [[1, 1], [1/2, 1/2], [3/8, 3/8], [-2, -2], [-1/2, -1/2]]]], [[
8, 5, 5, 1, 3], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 1), y < -u^2-x, And
(-u < z,z < u)], [regular_chain, [[1, 1], [1/2, 1/2], [3/8, 3/8], [-2, -2], [0
, 0]]]], [[8, 5, 5, 1, 4], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 1), y <
-u^2-x, z = u], [regular_chain, [[1, 1], [1/2, 1/2], [3/8, 3/8], [-2, -2], [1/
2, 1/2]]]], [[8, 5, 5, 1, 5], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 1), y
< -u^2-x, u < z], [regular_chain, [[1, 1], [1/2, 1/2], [3/8, 3/8], [-2, -2], [
2, 2]]]], [[10, 10, 3, 3, 1], [v = 2^(1/2), u = v, And(-1 < x,x < 1), And(-1-x
< y,y < x+1), z < -1], [regular_chain, [[741455/524288, 1482911/1048576], [
741455/524288, 1482911/1048576], [0, 0], [0, 0], [-2, -2]]]], [[10, 10, 3, 3,
2], [v = 2^(1/2), u = v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z = -1], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [0, 0], [0, 0], [-1, -1]]]], [[10, 10, 3, 3, 3], [v = 2^(1/2), u = v
, And(-1 < x,x < 1), And(-1-x < y,y < x+1), And(-1 < z,z < 1)], [regular_chain
, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [0, 0],
[0, 0], [0, 0]]]], [[10, 10, 3, 3, 4], [v = 2^(1/2), u = v, And(-1 < x,x < 1),
And(-1-x < y,y < x+1), z = 1], [regular_chain, [[741455/524288, 1482911/
1048576], [741455/524288, 1482911/1048576], [0, 0], [0, 0], [1, 1]]]], [[10, 
10, 3, 3, 5], [v = 2^(1/2), u = v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), 1
< z], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 
1482911/1048576], [0, 0], [0, 0], [2, 2]]]], [[11, 3, 3, 3, 1], [2^(1/2) < v,
And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 <
y,y < -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], [0, 0],
[-2, -2]]]], [[11, 3, 3, 3, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -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], [0, 0], [-735979/1048576, -1471957/2097152]]]
], [[11, 3, 3, 3, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x
,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -u^2+v^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], [0, 0], [-1/4194304, -1/
4194304]]]], [[11, 3, 3, 3, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -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], [0, 0], [367989/524288, 735979/1048576]]]], [[
11, 3, 3, 3, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x <
-u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -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], [0, 0], [2, 2]]]], [[1, 11, 4, 1, 1], [v < -2^(1/2), And((v^2
-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y < 0, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-129143/262144,
-516571/1048576], [-1, -1], [-2, -2]]]], [[1, 11, 4, 1, 2], [v < -2^(1/2), And
((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y < 0, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-129143/262144,
-516571/1048576], [-1, -1], [-735979/1048576, -1471957/2097152]]]], [[1, 11, 4
, 1, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y < 0,
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3],
[6111549/2097152, 6111549/2097152], [-129143/262144, -516571/1048576], [-1, -1
], [-1/4194304, -1/4194304]]]], [[1, 11, 4, 1, 4], [v < -2^(1/2), And((v^2-1)^
(1/2) < u,u < -v), x = -u^2+v^2-1, y < 0, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-129143/262144,
-516571/1048576], [-1, -1], [367989/524288, 735979/1048576]]]], [[1, 11, 4, 1,
5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y < 0, (u^2-
v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-129143/262144, -516571/1048576], [-1, -1], [2, 2]]]], [[2, 2, 2, 3
, 1], [v = -2^(1/2), u = v, x = -1, 0 < y, z < -1], [regular_chain, [[-1482911
/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-1, -1], [1, 1
], [-2, -2]]]], [[2, 2, 2, 3, 2], [v = -2^(1/2), u = v, x = -1, 0 < y, z = -1]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -\
741455/524288], [-1, -1], [1, 1], [-1, -1]]]], [[2, 2, 2, 3, 3], [v = -2^(1/2)
, u = v, x = -1, 0 < y, And(-1 < z,z < 1)], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1482911/1048576, -741455/524288], [-1, -1], [1, 1], [0, 0
]]]], [[2, 2, 2, 3, 4], [v = -2^(1/2), u = v, x = -1, 0 < y, z = 1], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [-1, -1], [1, 1], [1, 1]]]], [[2, 2, 2, 3, 5], [v = -2^(1/2), u = v,
x = -1, 0 < y, 1 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1482911/1048576, -741455/524288], [-1, -1], [1, 1], [2, 2]]]], [[3, 6, 2, 3, 1
], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -1, And(-1 < y,y < 1), z
< 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [-1, -1], [0, 0], [-1, -1]]]], [[3, 6, 2, 3, 2], [And(-2^(1/2
) < v,v < -1), u = (v^2-1)^(1/2), x = -1, And(-1 < y,y < 1), z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-1, -1], [0, 0], [0, 0]]]], [[3, 6, 2, 3, 3], [And(-2^(1/2) < v,v <
-1), u = (v^2-1)^(1/2), x = -1, And(-1 < y,y < 1), 0 < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-1, -1],
[0, 0], [1, 1]]]], [[3, 9, 7, 5, 1], [And(-2^(1/2) < v,v < -1), -v < u, 1 < x,
u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [3, 3], [2, 2], [12, 12], [-4, -4]]]], [[3, 9, 7, 5, 2], [
And(-2^(1/2) < v,v < -1), -v < u, 1 < x, u^2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [2, 2], [
12, 12], [-1532401/524288, -24518415/8388608]]]], [[3, 9, 7, 5, 3], [And(-2^(1
/2) < v,v < -1), -v < u, 1 < x, u^2-v^2+x+1 < y, 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], [2, 2], [12, 12], [-7/16777216, -7/16777216]]]], [[3, 9, 7, 5, 4], [
And(-2^(1/2) < v,v < -1), -v < u, 1 < x, u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [2, 2], [12
, 12], [3064801/1048576, 1532401/524288]]]], [[3, 9, 7, 5, 5], [And(-2^(1/2) <
v,v < -1), -v < u, 1 < x, u^2-v^2+x+1 < y, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [2, 2], [12, 12]
, [4, 4]]]], [[5, 5, 4, 5, 1], [And(-1 < v,v < 0), -v < u, x = -1, u^2-v^2 < y
, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [-1, -1], [5
, 5], [-4, -4]]]], [[5, 5, 4, 5, 2], [And(-1 < v,v < 0), -v < u, x = -1, u^2-v
^2 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [-1, -\
1], [5, 5], [-2285319/1048576, -1142659/524288]]]], [[5, 5, 4, 5, 3], [And(-1
< v,v < 0), -v < u, x = -1, u^2-v^2 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v
^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [2, 2], [-1, -1], [5, 5], [0, 0]
]]], [[5, 5, 4, 5, 4], [And(-1 < v,v < 0), -v < u, x = -1, u^2-v^2 < y, z = (u
^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [-1, -1], [5, 5], [
1142659/524288, 2285319/1048576]]]], [[5, 5, 4, 5, 5], [And(-1 < v,v < 0), -v
< u, x = -1, u^2-v^2 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2
], [2, 2], [-1, -1], [5, 5], [4, 4]]]], [[7, 1, 3, 2, 1], [And(0 < v,v < 1), 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], [-2, -2], [-23/8, -23/8], [-15/8, -15/8], [-4, -4]
]]], [[7, 1, 3, 2, 2], [And(0 < v,v < 1), 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], [-2, -\
2], [-23/8, -23/8], [-15/8, -15/8], [-2285319/1048576, -1142659/524288]]]], [[
7, 1, 3, 2, 3], [And(0 < v,v < 1), 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], [-2, -2], [-23/8, -23/8], [-15/8, -15/8], [0, 0]]]], [[7, 1, 3, 2
, 4], [And(0 < v,v < 1), 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], [-2, -2], [-23/8, -23/8],
[-15/8, -15/8], [1142659/524288, 2285319/1048576]]]], [[7, 1, 3, 2, 5], [And(0
< v,v < 1), 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], [-2, -2], [-23/8, -23/8], [-15/8, -15
/8], [4, 4]]]], [[9, 4, 5, 2, 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, 4, 5, 2, 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,
4, 5, 2, 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, 8, 1, 2, 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, 8, 1, 2, 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, 8, 1,
2, 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, 8, 1, 2, 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, 8, 1, 2, 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, 9, 6, 5, 1], [And(1 < v,
v < 2^(1/2)), v < u, x = 1, u^2-v^2+2 < y, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1, 1], [11, 11],
[-4, -4]]]], [[9, 9, 6, 5, 2], [And(1 < v,v < 2^(1/2)), v < u, x = 1, u^2-v^2+
2 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [1, 1], [11, 11], [-1532401/524288, -24518415/8388608]]]], [
[9, 9, 6, 5, 3], [And(1 < v,v < 2^(1/2)), v < u, x = 1, u^2-v^2+2 < y, 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], [11, 11], [-7/16777216, -7/16777216]]]], [
[9, 9, 6, 5, 4], [And(1 < v,v < 2^(1/2)), v < u, x = 1, u^2-v^2+2 < y, z = (u^
2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3],
[1, 1], [11, 11], [3064801/1048576, 1532401/524288]]]], [[9, 9, 6, 5, 5], [And
(1 < v,v < 2^(1/2)), v < u, x = 1, u^2-v^2+2 < y, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1, 1], [11, 11],
[4, 4]]]], [[10, 4, 5, 2, 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, 4, 5, 2, 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, 4, 5, 2, 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]]]], [[11, 8, 5, 2
, 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, 
12, 3, 4, 1], [2^(1/2) < v, u = v, And(-1 < x,x < 1), y = x+1, z < -1], [
regular_chain, [[3, 3], [3, 3], [0, 0], [1, 1], [-2, -2]]]], [[11, 12, 3, 4, 2
], [2^(1/2) < v, u = v, And(-1 < x,x < 1), y = x+1, z = -1], [regular_chain, [
[3, 3], [3, 3], [0, 0], [1, 1], [-1, -1]]]], [[11, 12, 3, 4, 3], [2^(1/2) < v,
u = v, And(-1 < x,x < 1), y = x+1, And(-1 < z,z < 1)], [regular_chain, [[3, 3]
, [3, 3], [0, 0], [1, 1], [0, 0]]]], [[11, 12, 3, 4, 4], [2^(1/2) < v, u = v,
And(-1 < x,x < 1), y = x+1, z = 1], [regular_chain, [[3, 3], [3, 3], [0, 0], [
1, 1], [1, 1]]]], [[11, 12, 3, 4, 5], [2^(1/2) < v, u = v, And(-1 < x,x < 1),
y = x+1, 1 < z], [regular_chain, [[3, 3], [3, 3], [0, 0], [1, 1], [2, 2]]]], [
[1, 1, 6, 1, 1], [v < -2^(1/2), u < v, x = 1, y < -u^2+v^2-2, z < -(u^2-v^2+1)
^(1/2)], [regular_chain, [[-3, -3], [-4, -4], [1, 1], [-10, -10], [-4, -4]]]],
[[1, 1, 6, 1, 2], [v < -2^(1/2), u < v, x = 1, y < -u^2+v^2-2, z = -(u^2-v^2+1
)^(1/2)], [regular_chain, [[-3, -3], [-4, -4], [1, 1], [-10, -10], [-2965821/
1048576, -11863283/4194304]]]], [[1, 1, 6, 1, 3], [v < -2^(1/2), 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], [-4, -4], [1, 1], [-10, -10], [-3/8388608, -3/
8388608]]]], [[1, 1, 6, 1, 4], [v < -2^(1/2), u < v, x = 1, y < -u^2+v^2-2, z
= (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4], [1, 1], [-10, -10],
[741455/262144, 2965821/1048576]]]], [[1, 1, 6, 1, 5], [v < -2^(1/2), u < v, x
= 1, y < -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-4, -\
4], [1, 1], [-10, -10], [4, 4]]]], [[1, 5, 4, 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]]]], [[2, 7, 6, 3, 1], [v = -2^(1/2),
And(0 < u,u < 1), x = 1, And(-u^2 < y,y < u^2), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1/2, 1/2], [1, 1], [0, 0], [0, 0]]]], [[2,
11, 4, 5, 1], [v = -2^(1/2), -v < u, x = -1, u^2-2 < y, z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1, -1], [8, 8],
[-4, -4]]]], [[2, 11, 4, 5, 2], [v = -2^(1/2), -v < u, x = -1, u^2-2 < y, z =
-(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3],
[-1, -1], [8, 8], [-2965821/1048576, -11863283/4194304]]]], [[2, 11, 4, 5, 3],
[v = -2^(1/2), -v < u, x = -1, u^2-2 < y, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(
1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1, -1],
[8, 8], [-3/8388608, -3/8388608]]]], [[2, 11, 4, 5, 4], [v = -2^(1/2), -v < u,
x = -1, u^2-2 < y, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [-1, -1], [8, 8], [741455/262144, 2965821/1048576]]]],
[[2, 11, 4, 5, 5], [v = -2^(1/2), -v < u, x = -1, u^2-2 < y, (u^2-1)^(1/2) < z
], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1, -1], [8,
8], [4, 4]]]], [[4, 2, 4, 3, 1], [v = -1, u = -1, x = 1, And(-2 < y,y < 2), z
< -1], [regular_chain, [[-1, -1], [-1, -1], [1, 1], [0, 0], [-2, -2]]]], [[4,
2, 4, 3, 2], [v = -1, u = -1, x = 1, And(-2 < y,y < 2), z = -1], [
regular_chain, [[-1, -1], [-1, -1], [1, 1], [0, 0], [-1, -1]]]], [[4, 2, 4, 3,
3], [v = -1, u = -1, x = 1, And(-2 < y,y < 2), And(-1 < z,z < 1)], [
regular_chain, [[-1, -1], [-1, -1], [1, 1], [0, 0], [0, 0]]]], [[4, 2, 4, 3, 4
], [v = -1, u = -1, x = 1, And(-2 < y,y < 2), z = 1], [regular_chain, [[-1, -1
], [-1, -1], [1, 1], [0, 0], [1, 1]]]], [[4, 2, 4, 3, 5], [v = -1, u = -1, x =
1, And(-2 < y,y < 2), 1 < z], [regular_chain, [[-1, -1], [-1, -1], [1, 1], [0,
0], [2, 2]]]], [[4, 6, 2, 3, 1], [v = -1, u = 1, x = -1, 0 < y, z < -1], [
regular_chain, [[-1, -1], [1, 1], [-1, -1], [1, 1], [-2, -2]]]], [[4, 6, 2, 3,
2], [v = -1, u = 1, x = -1, 0 < y, z = -1], [regular_chain, [[-1, -1], [1, 1],
[-1, -1], [1, 1], [-1, -1]]]], [[4, 6, 2, 3, 3], [v = -1, u = 1, x = -1, 0 < y
, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [1, 1], [-1, -1], [1, 1], [0,
0]]]], [[4, 6, 2, 3, 4], [v = -1, u = 1, x = -1, 0 < y, z = 1], [regular_chain
, [[-1, -1], [1, 1], [-1, -1], [1, 1], [1, 1]]]], [[4, 6, 2, 3, 5], [v = -1, u
= 1, x = -1, 0 < y, 1 < z], [regular_chain, [[-1, -1], [1, 1], [-1, -1], [1, 1
], [2, 2]]]], [[8, 1, 6, 5, 1], [v = 1, u < -1, x = 1, u^2+1 < y, z < u], [
regular_chain, [[1, 1], [-2, -2], [1, 1], [6, 6], [-3, -3]]]], [[8, 1, 6, 5, 2
], [v = 1, u < -1, x = 1, u^2+1 < y, z = u], [regular_chain, [[1, 1], [-2, -2]
, [1, 1], [6, 6], [-2, -2]]]], [[8, 1, 6, 5, 3], [v = 1, u < -1, x = 1, u^2+1
< y, And(u < z,z < -u)], [regular_chain, [[1, 1], [-2, -2], [1, 1], [6, 6], [0
, 0]]]], [[8, 1, 6, 5, 4], [v = 1, u < -1, x = 1, u^2+1 < y, z = -u], [
regular_chain, [[1, 1], [-2, -2], [1, 1], [6, 6], [2, 2]]]], [[8, 1, 6, 5, 5],
[v = 1, u < -1, x = 1, u^2+1 < y, -u < z], [regular_chain, [[1, 1], [-2, -2],
[1, 1], [6, 6], [3, 3]]]], [[8, 5, 5, 2, 1], [v = 1, And(0 < u,u < 1), And(-u^
2 < x,x < 1), y = -u^2-x, z < -u], [regular_chain, [[1, 1], [1/2, 1/2], [3/8,
3/8], [-5/8, -5/8], [-2, -2]]]], [[8, 5, 5, 2, 2], [v = 1, And(0 < u,u < 1), 
And(-u^2 < x,x < 1), y = -u^2-x, z = -u], [regular_chain, [[1, 1], [1/2, 1/2],
[3/8, 3/8], [-5/8, -5/8], [-1/2, -1/2]]]], [[8, 5, 5, 2, 3], [v = 1, And(0 < u
,u < 1), And(-u^2 < x,x < 1), y = -u^2-x, And(-u < z,z < u)], [regular_chain,
[[1, 1], [1/2, 1/2], [3/8, 3/8], [-5/8, -5/8], [0, 0]]]], [[8, 5, 5, 2, 4], [v
= 1, And(0 < u,u < 1), And(-u^2 < x,x < 1), y = -u^2-x, z = u], [regular_chain
, [[1, 1], [1/2, 1/2], [3/8, 3/8], [-5/8, -5/8], [1/2, 1/2]]]], [[8, 5, 5, 2,
5], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 1), y = -u^2-x, u < z], [
regular_chain, [[1, 1], [1/2, 1/2], [3/8, 3/8], [-5/8, -5/8], [2, 2]]]], [[10,
10, 3, 2, 1], [v = 2^(1/2), u = v, And(-1 < x,x < 1), y = -1-x, z < -1], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [0, 0], [-1, -1], [-2, -2]]]], [[10, 10, 3, 2, 2], [v = 2^(1/2), u =
v, And(-1 < x,x < 1), y = -1-x, z = -1], [regular_chain, [[741455/524288, 
1482911/1048576], [741455/524288, 1482911/1048576], [0, 0], [-1, -1], [-1, -1]
]]], [[10, 10, 3, 2, 3], [v = 2^(1/2), u = v, And(-1 < x,x < 1), y = -1-x, And
(-1 < z,z < 1)], [regular_chain, [[741455/524288, 1482911/1048576], [741455/
524288, 1482911/1048576], [0, 0], [-1, -1], [0, 0]]]], [[10, 10, 3, 2, 4], [v
= 2^(1/2), u = v, And(-1 < x,x < 1), y = -1-x, z = 1], [regular_chain, [[
741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [0, 0], [-1
, -1], [1, 1]]]], [[10, 10, 3, 2, 5], [v = 2^(1/2), u = v, And(-1 < x,x < 1),
y = -1-x, 1 < z], [regular_chain, [[741455/524288, 1482911/1048576], [741455/
524288, 1482911/1048576], [0, 0], [-1, -1], [2, 2]]]], [[11, 3, 3, 2, 1], [2^(
1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = u^2-
v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152,
-6111549/2097152], [-391287/524288, -391287/524288], [-266003/1048576, -133001
/524288], [-2, -2]]]], [[11, 3, 3, 2, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1
)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)]
, [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-391287/
524288, -391287/524288], [-266003/1048576, -133001/524288], [-735979/1048576,
-1471957/2097152]]]], [[11, 3, 3, 2, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)
^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1, And(-(u^2-v^2+1)^(1/2) <
z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-391287/524288, -391287/524288], [-266003/1048576, -133001/
524288], [-1/4194304, -1/4194304]]]], [[11, 3, 3, 2, 4], [2^(1/2) < v, And(-v
< u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1, z = (u^2
-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152],
[-391287/524288, -391287/524288], [-266003/1048576, -133001/524288], [367989/
524288, 735979/1048576]]]], [[11, 3, 3, 2, 5], [2^(1/2) < v, And(-v < u,u < -(
v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1, (u^2-v^2+1)^(1/2)
< z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-391287/
524288, -391287/524288], [-266003/1048576, -133001/524288], [2, 2]]]], [[1, 1,
7, 3, 1], [v < -2^(1/2), u < v, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1),
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4], [2, 2], [0, 0],
[-4, -4]]]], [[1, 1, 7, 3, 2], [v < -2^(1/2), u < v, 1 < x, And(-u^2+v^2-x-1 <
y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -\
4], [2, 2], [0, 0], [-2965821/1048576, -11863283/4194304]]]], [[1, 1, 7, 3, 3]
, [v < -2^(1/2), u < v, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), And(-(u^
2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-4, -4
], [2, 2], [0, 0], [-3/8388608, -3/8388608]]]], [[1, 1, 7, 3, 4], [v < -2^(1/2
), u < v, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2-v^2+1)^(1/2)]
, [regular_chain, [[-3, -3], [-4, -4], [2, 2], [0, 0], [741455/262144, 2965821
/1048576]]]], [[1, 1, 7, 3, 5], [v < -2^(1/2), u < v, 1 < x, And(-u^2+v^2-x-1
< y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-4,
-4], [2, 2], [0, 0], [4, 4]]]], [[1, 5, 5, 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], [
395403/524288, 395403/524288], [-2, -2], [0, 0]]]], [[2, 7, 7, 3, 1], [v = -2^
(1/2), And(0 < u,u < 1), 1 < x, And(-u^2-x+1 < y,y < u^2+x-1), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [2, 2], [0, 0]
, [0, 0]]]], [[2, 11, 5, 1, 1], [v = -2^(1/2), -v < u, And(-1 < x,x < 1), y <
-u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [0, 0], [-9, -9], [-4, -4]]]], [[2, 11, 5, 1, 2], [v = -2^(1/
2), -v < u, And(-1 < x,x < 1), y < -u^2-x+1, z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [0, 0], [-9, -9],
[-2965821/1048576, -11863283/4194304]]]], [[2, 11, 5, 1, 3], [v = -2^(1/2), -v
< u, And(-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], [0, 0], [-9,
-9], [-3/8388608, -3/8388608]]]], [[2, 11, 5, 1, 4], [v = -2^(1/2), -v < u, 
And(-1 < x,x < 1), y < -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [0, 0], [-9, -9], [741455/262144, 
2965821/1048576]]]], [[2, 11, 5, 1, 5], [v = -2^(1/2), -v < u, And(-1 < x,x <
1), y < -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [0, 0], [-9, -9], [4, 4]]]], [[4, 2, 5, 5, 1], [v = -1
, u = -1, 1 < x, x+1 < y, z < -1], [regular_chain, [[-1, -1], [-1, -1], [2, 2]
, [4, 4], [-2, -2]]]], [[4, 2, 5, 5, 2], [v = -1, u = -1, 1 < x, x+1 < y, z =
-1], [regular_chain, [[-1, -1], [-1, -1], [2, 2], [4, 4], [-1, -1]]]], [[4, 2,
5, 5, 3], [v = -1, u = -1, 1 < x, x+1 < y, And(-1 < z,z < 1)], [regular_chain,
[[-1, -1], [-1, -1], [2, 2], [4, 4], [0, 0]]]], [[4, 2, 5, 5, 4], [v = -1, u =
-1, 1 < x, x+1 < y, z = 1], [regular_chain, [[-1, -1], [-1, -1], [2, 2], [4, 4
], [1, 1]]]], [[4, 2, 5, 5, 5], [v = -1, u = -1, 1 < x, x+1 < y, 1 < z], [
regular_chain, [[-1, -1], [-1, -1], [2, 2], [4, 4], [2, 2]]]], [[4, 6, 3, 3, 1
], [v = -1, u = 1, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z < -1], [
regular_chain, [[-1, -1], [1, 1], [0, 0], [0, 0], [-2, -2]]]], [[4, 6, 3, 3, 2
], [v = -1, u = 1, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z = -1], [
regular_chain, [[-1, -1], [1, 1], [0, 0], [0, 0], [-1, -1]]]], [[4, 6, 3, 3, 3
], [v = -1, u = 1, And(-1 < x,x < 1), And(-1-x < y,y < x+1), And(-1 < z,z < 1)
], [regular_chain, [[-1, -1], [1, 1], [0, 0], [0, 0], [0, 0]]]], [[4, 6, 3, 3,
4], [v = -1, u = 1, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z = 1], [
regular_chain, [[-1, -1], [1, 1], [0, 0], [0, 0], [1, 1]]]], [[4, 6, 3, 3, 5],
[v = -1, u = 1, And(-1 < x,x < 1), And(-1-x < y,y < x+1), 1 < z], [
regular_chain, [[-1, -1], [1, 1], [0, 0], [0, 0], [2, 2]]]], [[8, 1, 7, 5, 1],
[v = 1, u < -1, 1 < x, u^2+x < y, z < u], [regular_chain, [[1, 1], [-2, -2], [
2, 2], [7, 7], [-3, -3]]]], [[8, 1, 7, 5, 2], [v = 1, u < -1, 1 < x, u^2+x < y
, z = u], [regular_chain, [[1, 1], [-2, -2], [2, 2], [7, 7], [-2, -2]]]], [[8,
1, 7, 5, 3], [v = 1, u < -1, 1 < x, u^2+x < y, And(u < z,z < -u)], [
regular_chain, [[1, 1], [-2, -2], [2, 2], [7, 7], [0, 0]]]], [[8, 1, 7, 5, 4],
[v = 1, u < -1, 1 < x, u^2+x < y, z = -u], [regular_chain, [[1, 1], [-2, -2],
[2, 2], [7, 7], [2, 2]]]], [[8, 1, 7, 5, 5], [v = 1, u < -1, 1 < x, u^2+x < y,
-u < z], [regular_chain, [[1, 1], [-2, -2], [2, 2], [7, 7], [3, 3]]]], [[8, 5,
5, 3, 1], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 1), And(-u^2-x < y,y < u^
2+x), z < -u], [regular_chain, [[1, 1], [1/2, 1/2], [3/8, 3/8], [0, 0], [-2, -\
2]]]], [[8, 5, 5, 3, 2], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 1), And(-u
^2-x < y,y < u^2+x), z = -u], [regular_chain, [[1, 1], [1/2, 1/2], [3/8, 3/8],
[0, 0], [-1/2, -1/2]]]], [[8, 5, 5, 3, 3], [v = 1, And(0 < u,u < 1), And(-u^2
< x,x < 1), And(-u^2-x < y,y < u^2+x), And(-u < z,z < u)], [regular_chain, [[1
, 1], [1/2, 1/2], [3/8, 3/8], [0, 0], [0, 0]]]], [[8, 5, 5, 3, 4], [v = 1, And
(0 < u,u < 1), And(-u^2 < x,x < 1), And(-u^2-x < y,y < u^2+x), z = u], [
regular_chain, [[1, 1], [1/2, 1/2], [3/8, 3/8], [0, 0], [1/2, 1/2]]]], [[8, 5,
5, 3, 5], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 1), And(-u^2-x < y,y < u^
2+x), u < z], [regular_chain, [[1, 1], [1/2, 1/2], [3/8, 3/8], [0, 0], [2, 2]]
]], [[10, 10, 3, 1, 1], [v = 2^(1/2), u = v, And(-1 < x,x < 1), y < -1-x, z <
-1], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 
1482911/1048576], [0, 0], [-2, -2], [-2, -2]]]], [[10, 10, 3, 1, 2], [v = 2^(1
/2), u = v, And(-1 < x,x < 1), y < -1-x, z = -1], [regular_chain, [[741455/
524288, 1482911/1048576], [741455/524288, 1482911/1048576], [0, 0], [-2, -2],
[-1, -1]]]], [[10, 10, 3, 1, 3], [v = 2^(1/2), u = v, And(-1 < x,x < 1), y < -\
1-x, And(-1 < z,z < 1)], [regular_chain, [[741455/524288, 1482911/1048576], [
741455/524288, 1482911/1048576], [0, 0], [-2, -2], [0, 0]]]], [[10, 10, 3, 1,
4], [v = 2^(1/2), u = v, And(-1 < x,x < 1), y < -1-x, z = 1], [regular_chain,
[[741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [0, 0], [
-2, -2], [1, 1]]]], [[10, 10, 3, 1, 5], [v = 2^(1/2), u = v, And(-1 < x,x < 1)
, y < -1-x, 1 < z], [regular_chain, [[741455/524288, 1482911/1048576], [741455
/524288, 1482911/1048576], [0, 0], [-2, -2], [2, 2]]]], [[11, 3, 2, 2, 1], [2^
(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y = u^2-v^2, z < -(u^2-v^2+
1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-1,
-1], [-1064009/2097152, -133001/262144], [-2, -2]]]], [[11, 3, 2, 2, 2], [2^(1
/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y = u^2-v^2, z = -(u^2-v^2+1)
^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-1, -\
1], [-1064009/2097152, -133001/262144], [-735979/1048576, -1471957/2097152]]]]
, [[11, 3, 2, 2, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y =
u^2-v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [
[3, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [-1064009/2097152, -\
133001/262144], [-1/4194304, -1/4194304]]]], [[11, 3, 2, 2, 4], [2^(1/2) < v,
And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y = u^2-v^2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [-\
1064009/2097152, -133001/262144], [367989/524288, 735979/1048576]]]], [[11, 3,
2, 2, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y = u^2-v^2, (
u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-1, -1], [-1064009/2097152, -133001/262144], [2, 2]]]], [[1, 11, 3,
5, 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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [2, 2], [
-2, -2]]]], [[1, 11, 3, 5, 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 = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-391287/524288,
-391287/524288], [2, 2], [-735979/1048576, -1471957/2097152]]]], [[1, 11, 3, 5
, 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(-(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], [2, 2], [-1/4194304, -1/4194304]]]], [[1, 11, 3, 5, 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 = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152,
6111549/2097152], [-391287/524288, -391287/524288], [2, 2], [367989/524288, 
735979/1048576]]]], [[1, 11, 3, 5, 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, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-391287/524288,
-391287/524288], [2, 2], [2, 2]]]], [[2, 2, 1, 3, 1], [v = -2^(1/2), u = v, x
< -1, And(x+1 < y,y < -1-x), z < -1], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1482911/1048576, -741455/524288], [-2, -2], [0, 0], [-2, -2]
]]], [[2, 2, 1, 3, 2], [v = -2^(1/2), u = v, x < -1, And(x+1 < y,y < -1-x), z
= -1], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576,
-741455/524288], [-2, -2], [0, 0], [-1, -1]]]], [[2, 2, 1, 3, 3], [v = -2^(1/2
), u = v, x < -1, And(x+1 < y,y < -1-x), And(-1 < z,z < 1)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-2, -\
2], [0, 0], [0, 0]]]], [[2, 2, 1, 3, 4], [v = -2^(1/2), u = v, x < -1, And(x+1
< y,y < -1-x), z = 1], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1482911/1048576, -741455/524288], [-2, -2], [0, 0], [1, 1]]]], [[2, 2, 1, 3, 5
], [v = -2^(1/2), u = v, x < -1, And(x+1 < y,y < -1-x), 1 < z], [regular_chain
, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-2
, -2], [0, 0], [2, 2]]]], [[3, 6, 1, 5, 1], [And(-2^(1/2) < v,v < -1), u = (v^
2-1)^(1/2), x < -1, -x < y, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [-2, -2], [3, 3], [-1, -1]]
]], [[3, 6, 1, 5, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x < -1, -x
< y, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/
524288, 708939/1048576], [-2, -2], [3, 3], [0, 0]]]], [[3, 6, 1, 5, 3], [And(-
2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x < -1, -x < y, 0 < z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-2,
-2], [3, 3], [1, 1]]]], [[3, 9, 6, 3, 1], [And(-2^(1/2) < v,v < -1), -v < u, x
= 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1, 1], [0, 0],
[-4, -4]]]], [[3, 9, 6, 3, 2], [And(-2^(1/2) < v,v < -1), -v < u, x = 1, And(-
u^2+v^2-2 < y,y < u^2-v^2+2), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [1, 1], [0, 0], [-1532401/524288,
-24518415/8388608]]]], [[3, 9, 6, 3, 3], [And(-2^(1/2) < v,v < -1), -v < u, x
= 1, And(-u^2+v^2-2 < y,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], [0, 0], [-7/16777216, -7/16777216]]]], [[3, 9, 6, 3, 4], [And(-2^(1/2)
< v,v < -1), -v < u, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z = (u^2-v^2+1)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1, 1]
, [0, 0], [3064801/1048576, 1532401/524288]]]], [[3, 9, 6, 3, 5], [And(-2^(1/2
) < v,v < -1), -v < u, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), (u^2-v^2+1)^(
1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1,
1], [0, 0], [4, 4]]]], [[5, 5, 4, 4, 1], [And(-1 < v,v < 0), -v < u, x = -1, y
= u^2-v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [-1
, -1], [15/4, 15/4], [-4, -4]]]], [[5, 5, 4, 4, 2], [And(-1 < v,v < 0), -v < u
, x = -1, y = u^2-v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[2, 2], [-1, -1], [15/4, 15/4], [-2285319/1048576, -1142659/524288]]]], [[5, 5
, 4, 4, 3], [And(-1 < v,v < 0), -v < 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], [2, 2], [-1,
-1], [15/4, 15/4], [0, 0]]]], [[5, 5, 4, 4, 4], [And(-1 < v,v < 0), -v < u, x
= -1, y = u^2-v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2,
2], [-1, -1], [15/4, 15/4], [1142659/524288, 2285319/1048576]]]], [[5, 5, 4, 4
, 5], [And(-1 < v,v < 0), -v < u, x = -1, y = u^2-v^2, (u^2-v^2+1)^(1/2) < z],
[regular_chain, [[-1/2, -1/2], [2, 2], [-1, -1], [15/4, 15/4], [4, 4]]]], [[7,
1, 1, 5, 1], [And(0 < v,v < 1), u < -v, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2], [-6, -6], [3, 3],
[-4, -4]]]], [[7, 1, 1, 5, 2], [And(0 < v,v < 1), u < -v, x < -u^2+v^2-1, -u^2
+v^2-x-1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2],
[-6, -6], [3, 3], [-2285319/1048576, -1142659/524288]]]], [[7, 1, 1, 5, 3], [
And(0 < v,v < 1), u < -v, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, And(-(u^2-v^2+1)^(
1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-2, -2], [-6,
-6], [3, 3], [0, 0]]]], [[7, 1, 1, 5, 4], [And(0 < v,v < 1), u < -v, x < -u^2+
v^2-1, -u^2+v^2-x-1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2],
[-2, -2], [-6, -6], [3, 3], [1142659/524288, 2285319/1048576]]]], [[7, 1, 1, 5
, 5], [And(0 < v,v < 1), u < -v, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, (u^2-v^2+1)
^(1/2) < z], [regular_chain, [[1/2, 1/2], [-2, -2], [-6, -6], [3, 3], [4, 4]]]
], [[9, 4, 4, 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, 4, 4, 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, 4, 4, 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,
7, 6, 5, 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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [3, 3], [-2, -2]]]
], [[9, 7, 6, 5, 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 = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [3, 3], [-\
1374407/2097152, -687203/1048576]]]], [[9, 7, 6, 5, 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(-(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], [3, 3], [0, 0]]]], [[9, 7,
6, 5, 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 = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [1, 1], [3, 3], [687203/1048576, 
171801/262144]]]], [[9, 7, 6, 5, 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, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [
3, 3], [2, 2]]]], [[10, 1, 1, 2, 1], [v = 2^(1/2), u < -v, 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, 2, 2], [v = 2^(1/2), u
< -v, 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, 2, 3], [v = 2^(1/2), 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], [-3, -3], [-9, -9], [-1, -1], [-3/8388608, -3/
8388608]]]], [[10, 1, 1, 2, 4], [v = 2^(1/2), u < -v, 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, 2, 5],
[v = 2^(1/2), u < -v, 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, 5, 5, 1], [v = 2^(1/2), u = -1, And(0 < x,x < 1), x < y,
z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2
], [2, 2], [-1, -1]]]], [[10, 4, 5, 5, 2], [v = 2^(1/2), u = -1, And(0 < x,x <
1), x < y, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1]
, [1/2, 1/2], [2, 2], [0, 0]]]], [[10, 4, 5, 5, 3], [v = 2^(1/2), u = -1, And(
0 < x,x < 1), x < y, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576]
, [-1, -1], [1/2, 1/2], [2, 2], [1, 1]]]], [[11, 9, 1, 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+x+1, z = z], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-2, -2], [-5260377/
2097152, -657547/262144], [0, 0]]]], [[11, 12, 3, 5, 1], [2^(1/2) < v, u = v,
And(-1 < x,x < 1), x+1 < y, z < -1], [regular_chain, [[3, 3], [3, 3], [0, 0],
[2, 2], [-2, -2]]]], [[11, 12, 3, 5, 2], [2^(1/2) < v, u = v, And(-1 < x,x < 1
), x+1 < y, z = -1], [regular_chain, [[3, 3], [3, 3], [0, 0], [2, 2], [-1, -1]
]]], [[11, 12, 3, 5, 3], [2^(1/2) < v, u = v, And(-1 < x,x < 1), x+1 < y, And(
-1 < z,z < 1)], [regular_chain, [[3, 3], [3, 3], [0, 0], [2, 2], [0, 0]]]], [[
11, 12, 3, 5, 4], [2^(1/2) < v, u = v, And(-1 < x,x < 1), x+1 < y, z = 1], [
regular_chain, [[3, 3], [3, 3], [0, 0], [2, 2], [1, 1]]]], [[11, 12, 3, 5, 5],
[2^(1/2) < v, u = v, And(-1 < x,x < 1), x+1 < y, 1 < z], [regular_chain, [[3,
3], [3, 3], [0, 0], [2, 2], [2, 2]]]], [[1, 1, 7, 2, 1], [v < -2^(1/2), u < v,
1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
-4, -4], [2, 2], [-10, -10], [-4, -4]]]], [[1, 1, 7, 2, 2], [v < -2^(1/2), u <
v, 1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3]
, [-4, -4], [2, 2], [-10, -10], [-2965821/1048576, -11863283/4194304]]]], [[1,
1, 7, 2, 3], [v < -2^(1/2), 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], [-4, -4], [2, 2],
[-10, -10], [-3/8388608, -3/8388608]]]], [[1, 1, 7, 2, 4], [v < -2^(1/2), u <
v, 1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3],
[-4, -4], [2, 2], [-10, -10], [741455/262144, 2965821/1048576]]]], [[1, 1, 7,
2, 5], [v < -2^(1/2), u < v, 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z],
[regular_chain, [[-3, -3], [-4, -4], [2, 2], [-10, -10], [4, 4]]]], [[1, 5, 4,
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, 0 < y, z = z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [533035/1048576, 133259/262144], [1, 1], [0, 0]]]], [[2, 7, 7, 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, 11, 5, 2, 1], [v = -2^(1/2), -v < u, And(-1 < x,x < 1), y = -u^2-x+1, z
< -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3]
, [0, 0], [-8, -8], [-4, -4]]]], [[2, 11, 5, 2, 2], [v = -2^(1/2), -v < u, And
(-1 < x,x < 1), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [0, 0], [-8, -8], [-2965821/1048576, -\
11863283/4194304]]]], [[2, 11, 5, 2, 3], [v = -2^(1/2), -v < u, And(-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], [0, 0], [-8, -8], [-3/8388608, -3
/8388608]]]], [[2, 11, 5, 2, 4], [v = -2^(1/2), -v < u, And(-1 < x,x < 1), y =
-u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [0, 0], [-8, -8], [741455/262144, 2965821/1048576]]]], [[2, 
11, 5, 2, 5], [v = -2^(1/2), -v < u, And(-1 < x,x < 1), y = -u^2-x+1, (u^2-1)^
(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [0, 0
], [-8, -8], [4, 4]]]], [[4, 2, 5, 4, 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, 2,
5, 4, 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, 2, 5, 4, 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, 2, 5, 4, 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, 2, 5, 4, 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, 6, 3, 2, 1], [v = -1, u = 1, And(-1 < x,x <
1), y = -1-x, z < -1], [regular_chain, [[-1, -1], [1, 1], [0, 0], [-1, -1], [-\
2, -2]]]], [[4, 6, 3, 2, 2], [v = -1, u = 1, And(-1 < x,x < 1), y = -1-x, z =
-1], [regular_chain, [[-1, -1], [1, 1], [0, 0], [-1, -1], [-1, -1]]]], [[4, 6,
3, 2, 3], [v = -1, u = 1, And(-1 < x,x < 1), y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[-1, -1], [1, 1], [0, 0], [-1, -1], [0, 0]]]], [[4, 6, 3, 2, 4
], [v = -1, u = 1, And(-1 < x,x < 1), y = -1-x, z = 1], [regular_chain, [[-1,
-1], [1, 1], [0, 0], [-1, -1], [1, 1]]]], [[4, 6, 3, 2, 5], [v = -1, u = 1, 
And(-1 < x,x < 1), y = -1-x, 1 < z], [regular_chain, [[-1, -1], [1, 1], [0, 0]
, [-1, -1], [2, 2]]]], [[8, 2, 1, 1, 1], [v = 1, u = -1, x < -1, y < x+1, z <
-1], [regular_chain, [[1, 1], [-1, -1], [-2, -2], [-2, -2], [-2, -2]]]], [[8,
2, 1, 1, 2], [v = 1, u = -1, x < -1, y < x+1, z = -1], [regular_chain, [[1, 1]
, [-1, -1], [-2, -2], [-2, -2], [-1, -1]]]], [[8, 2, 1, 1, 3], [v = 1, u = -1,
x < -1, y < x+1, And(-1 < z,z < 1)], [regular_chain, [[1, 1], [-1, -1], [-2, -\
2], [-2, -2], [0, 0]]]], [[8, 2, 1, 1, 4], [v = 1, u = -1, x < -1, y < x+1, z
= 1], [regular_chain, [[1, 1], [-1, -1], [-2, -2], [-2, -2], [1, 1]]]], [[8, 2
, 1, 1, 5], [v = 1, u = -1, x < -1, y < x+1, 1 < z], [regular_chain, [[1, 1],
[-1, -1], [-2, -2], [-2, -2], [2, 2]]]], [[8, 5, 5, 4, 1], [v = 1, And(0 < u,u
< 1), And(-u^2 < x,x < 1), y = u^2+x, z < -u], [regular_chain, [[1, 1], [1/2,
1/2], [3/8, 3/8], [5/8, 5/8], [-2, -2]]]], [[8, 5, 5, 4, 2], [v = 1, And(0 < u
,u < 1), And(-u^2 < x,x < 1), y = u^2+x, z = -u], [regular_chain, [[1, 1], [1/
2, 1/2], [3/8, 3/8], [5/8, 5/8], [-1/2, -1/2]]]], [[8, 5, 5, 4, 3], [v = 1, 
And(0 < u,u < 1), And(-u^2 < x,x < 1), y = u^2+x, And(-u < z,z < u)], [
regular_chain, [[1, 1], [1/2, 1/2], [3/8, 3/8], [5/8, 5/8], [0, 0]]]], [[8, 5,
5, 4, 4], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 1), y = u^2+x, z = u], [
regular_chain, [[1, 1], [1/2, 1/2], [3/8, 3/8], [5/8, 5/8], [1/2, 1/2]]]], [[8
, 5, 5, 4, 5], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 1), y = u^2+x, u < z
], [regular_chain, [[1, 1], [1/2, 1/2], [3/8, 3/8], [5/8, 5/8], [2, 2]]]], [[
10, 10, 2, 3, 1], [v = 2^(1/2), u = v, x = -1, 0 < y, z < -1], [regular_chain,
[[741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-1, -1],
[1, 1], [-2, -2]]]], [[10, 10, 2, 3, 2], [v = 2^(1/2), u = v, x = -1, 0 < y, z
= -1], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 
1482911/1048576], [-1, -1], [1, 1], [-1, -1]]]], [[10, 10, 2, 3, 3], [v = 2^(1
/2), u = v, x = -1, 0 < y, And(-1 < z,z < 1)], [regular_chain, [[741455/524288
, 1482911/1048576], [741455/524288, 1482911/1048576], [-1, -1], [1, 1], [0, 0]
]]], [[10, 10, 2, 3, 4], [v = 2^(1/2), u = v, x = -1, 0 < y, z = 1], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-1, -1], [1, 1], [1, 1]]]], [[10, 10, 2, 3, 5], [v = 2^(1/2), u = v
, x = -1, 0 < y, 1 < z], [regular_chain, [[741455/524288, 1482911/1048576], [
741455/524288, 1482911/1048576], [-1, -1], [1, 1], [2, 2]]]], [[11, 3, 2, 1, 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], [-2, -2], [-2, -2]]]], [[11, 3, 2, 1, 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], [-2, -\
2], [-735979/1048576, -1471957/2097152]]]], [[11, 3, 2, 1, 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], [-2, -2], [-1/4194304, -1/4194304]]]], [[11, 3, 2,
1, 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], [-2, -2], [367989/524288, 735979/1048576]]]], [[11, 3, 2,
1, 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], [-2, -2], [2, 2]]]], [[1, 11, 3, 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], [133001/524288, 266003/1048576], [
-2, -2]]]], [[1, 11, 3, 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], [133001/524288, 266003/1048576], [-735979/1048576, -1471957/
2097152]]]], [[1, 11, 3, 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], [133001/524288, 266003/1048576], [
-1/4194304, -1/4194304]]]], [[1, 11, 3, 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], [133001/524288, 266003/1048576], [367989/524288, 
735979/1048576]]]], [[1, 11, 3, 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], [133001/524288, 266003/1048576], [2, 2]]]], [[2, 2, 1, 2, 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, 2, 1, 2, 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, 2, 1, 2, 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, 2, 1, 2, 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, 2, 1, 2, 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]]]], [[
3, 6, 2, 1, 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], [-2, -2], [-1, -1]]]], [[3, 6, 2, 1, 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]
, [-2, -2], [0, 0]]]], [[3, 6, 2, 1, 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], [-2, -2], [1, 1]]]], [[3,
9, 6, 4, 1], [And(-2^(1/2) < v,v < -1), -v < 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, 9, 6, 4, 2], [
And(-2^(1/2) < v,v < -1), -v < 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, 9, 6, 4, 3], [And(-2^(1/2) < v,v < -1), -v < 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, 9, 6, 4, 4], [And(-2^(1/2) < v,v < -1),
-v < 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, 9, 6, 4, 5], [And(-2^(1/2
) < v,v < -1), -v < 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]]]], [[5, 5, 4, 3, 1], [And(-1 < v,v
< 0), -v < u, x = -1, And(-u^2+v^2 < y,y < u^2-v^2), z < -(u^2-v^2+1)^(1/2)],
[regular_chain, [[-1/2, -1/2], [2, 2], [-1, -1], [0, 0], [-4, -4]]]], [[5, 5,
4, 3, 2], [And(-1 < v,v < 0), -v < u, x = -1, And(-u^2+v^2 < y,y < u^2-v^2), z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [-1, -1], [0, 0]
, [-2285319/1048576, -1142659/524288]]]], [[5, 5, 4, 3, 3], [And(-1 < v,v < 0)
, -v < u, x = -1, And(-u^2+v^2 < y,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], [2, 2], [-1, -1], [0, 0]
, [0, 0]]]], [[5, 5, 4, 3, 4], [And(-1 < v,v < 0), -v < u, x = -1, And(-u^2+v^
2 < y,y < u^2-v^2), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2,
2], [-1, -1], [0, 0], [1142659/524288, 2285319/1048576]]]], [[5, 5, 4, 3, 5],
[And(-1 < v,v < 0), -v < u, x = -1, And(-u^2+v^2 < y,y < u^2-v^2), (u^2-v^2+1)
^(1/2) < z], [regular_chain, [[-1/2, -1/2], [2, 2], [-1, -1], [0, 0], [4, 4]]]
], [[7, 1, 1, 4, 1], [And(0 < v,v < 1), 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], [-2, -2], [-6, -6],
[5/4, 5/4], [-4, -4]]]], [[7, 1, 1, 4, 2], [And(0 < v,v < 1), 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]
, [-2, -2], [-6, -6], [5/4, 5/4], [-2285319/1048576, -1142659/524288]]]], [[7,
1, 1, 4, 3], [And(0 < v,v < 1), 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], [
-2, -2], [-6, -6], [5/4, 5/4], [0, 0]]]], [[7, 1, 1, 4, 4], [And(0 < v,v < 1),
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], [-2, -2], [-6, -6], [5/4, 5/4], [1142659/524288, 
2285319/1048576]]]], [[7, 1, 1, 4, 5], [And(0 < v,v < 1), 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], [-2
, -2], [-6, -6], [5/4, 5/4], [4, 4]]]], [[9, 4, 4, 3, 1], [And(1 < v,v < 2^(1/
2)), u = -(v^2-1)^(1/2), x = 0, 0 < y, z < 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [0, 0], [1, 1],
[-1, -1]]]], [[9, 4, 4, 3, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x
= 0, 0 < y, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1417877/2097152, -354469/524288], [0, 0], [1, 1], [0, 0]]]], [[9, 4, 4, 3, 3],
[And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 0, 0 < y, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [0, 0], [1, 1], [1, 1]]]], [[9, 7, 7, 1, 1], [And(1 < v,v < 2^(1/2))
, And((v^2-1)^(1/2) < u,u < v), 1 < x, y < -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [2, 2], [-4, -4], [-2, -2]]]], [[9, 7, 7, 1, 2], [And(1 < v,v
< 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, y < -u^2+v^2-x-1, z = -(u^2-v
^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [2, 2], [-4, -4], [-1374407/2097152, -687203/1048576
]]]], [[9, 7, 7, 1, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v),
1 < x, y < -u^2+v^2-x-1, And(-(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], [-4, -4], [0, 0]]]], [[9, 7, 7, 1, 4], [And(1 < v,v < 2^(1/2
)), And((v^2-1)^(1/2) < u,u < v), 1 < x, y < -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [2, 2], [-4, -4], [687203/1048576, 171801/262144]]]], [[9, 7,
7, 1, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, y < -u
^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [987341/1048576, 987341/1048576], [2, 2], [-4, -4], [2, 2]]]], [[10
, 1, 1, 1, 1], [v = 2^(1/2), u < -v, 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], [-\
2, -2], [-4, -4]]]], [[10, 1, 1, 1, 2], [v = 2^(1/2), u < -v, 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], [-2, -2], [-2965821/1048576, -11863283/4194304]]]], [[
10, 1, 1, 1, 3], [v = 2^(1/2), 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
], [-3, -3], [-9, -9], [-2, -2], [-3/8388608, -3/8388608]]]], [[10, 1, 1, 1, 4
], [v = 2^(1/2), u < -v, 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], [-2, -2]
, [741455/262144, 2965821/1048576]]]], [[10, 1, 1, 1, 5], [v = 2^(1/2), u < -v
, 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], [-2, -2], [4, 4]]]], [[10, 4, 5, 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, 4, 5, 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, 4, 5, 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]]]], [[11, 9, 1, 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+x+1 < y,y < -u^2+v^2-x-1), z =
z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-2, -2], [0, 0
], [0, 0]]]], [[11, 12, 4, 1, 1], [2^(1/2) < v, u = v, x = 1, y < -2, z < -1],
[regular_chain, [[3, 3], [3, 3], [1, 1], [-3, -3], [-2, -2]]]], [[11, 12, 4, 1
, 2], [2^(1/2) < v, u = v, x = 1, y < -2, z = -1], [regular_chain, [[3, 3], [3
, 3], [1, 1], [-3, -3], [-1, -1]]]], [[11, 12, 4, 1, 3], [2^(1/2) < v, u = v,
x = 1, y < -2, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [3, 3], [1, 1], [-\
3, -3], [0, 0]]]], [[11, 12, 4, 1, 4], [2^(1/2) < v, u = v, x = 1, y < -2, z =
1], [regular_chain, [[3, 3], [3, 3], [1, 1], [-3, -3], [1, 1]]]], [[11, 12, 4,
1, 5], [2^(1/2) < v, u = v, x = 1, y < -2, 1 < z], [regular_chain, [[3, 3], [3
, 3], [1, 1], [-3, -3], [2, 2]]]], [[1, 1, 7, 1, 1], [v < -2^(1/2), u < v, 1 <
x, y < -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4,
-4], [2, 2], [-11, -11], [-4, -4]]]], [[1, 1, 7, 1, 2], [v < -2^(1/2), u < v,
1 < x, y < -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
-4, -4], [2, 2], [-11, -11], [-2965821/1048576, -11863283/4194304]]]], [[1, 1,
7, 1, 3], [v < -2^(1/2), 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], [-4, -4], [2, 2], [-\
11, -11], [-3/8388608, -3/8388608]]]], [[1, 1, 7, 1, 4], [v < -2^(1/2), u < v,
1 < x, y < -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
4, -4], [2, 2], [-11, -11], [741455/262144, 2965821/1048576]]]], [[1, 1, 7, 1,
5], [v < -2^(1/2), u < v, 1 < x, y < -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-4, -4], [2, 2], [-11, -11], [4, 4]]]], [[1, 5, 5,
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 < u^2-v^2+x+1), z = z], [regular_chain,
[[-3, -3], [-22960369/8388608, -22960369/8388608], [395403/524288, 395403/
524288], [0, 0], [0, 0]]]], [[2, 7, 7, 1, 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], [-3, -3], [0, 0]]]], [[2, 11, 5, 3, 1], [v = -2^(
1/2), -v < u, And(-1 < x,x < 1), And(-u^2-x+1 < y,y < u^2+x-1), z < -(u^2-1)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [0, 0], [0
, 0], [-4, -4]]]], [[2, 11, 5, 3, 2], [v = -2^(1/2), -v < u, And(-1 < x,x < 1)
, And(-u^2-x+1 < y,y < u^2+x-1), z = -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [0, 0], [0, 0], [-2965821/1048576, -\
11863283/4194304]]]], [[2, 11, 5, 3, 3], [v = -2^(1/2), -v < u, And(-1 < x,x <
1), And(-u^2-x+1 < y,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], [0, 0], [0, 0], [
-3/8388608, -3/8388608]]]], [[2, 11, 5, 3, 4], [v = -2^(1/2), -v < u, And(-1 <
x,x < 1), And(-u^2-x+1 < y,y < u^2+x-1), z = (u^2-1)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [3, 3], [0, 0], [0, 0], [741455/262144, 
2965821/1048576]]]], [[2, 11, 5, 3, 5], [v = -2^(1/2), -v < u, And(-1 < x,x <
1), And(-u^2-x+1 < y,y < u^2+x-1), (u^2-1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [0, 0], [0, 0], [4, 4]]]], [[4, 2, 5
, 3, 1], [v = -1, u = -1, 1 < x, And(-1-x < y,y < x+1), z < -1], [
regular_chain, [[-1, -1], [-1, -1], [2, 2], [0, 0], [-2, -2]]]], [[4, 2, 5, 3,
2], [v = -1, u = -1, 1 < x, And(-1-x < y,y < x+1), z = -1], [regular_chain, [[
-1, -1], [-1, -1], [2, 2], [0, 0], [-1, -1]]]], [[4, 2, 5, 3, 3], [v = -1, u =
-1, 1 < x, And(-1-x < y,y < x+1), And(-1 < z,z < 1)], [regular_chain, [[-1, -1
], [-1, -1], [2, 2], [0, 0], [0, 0]]]], [[4, 2, 5, 3, 4], [v = -1, u = -1, 1 <
x, And(-1-x < y,y < x+1), z = 1], [regular_chain, [[-1, -1], [-1, -1], [2, 2],
[0, 0], [1, 1]]]], [[4, 2, 5, 3, 5], [v = -1, u = -1, 1 < x, And(-1-x < y,y <
x+1), 1 < z], [regular_chain, [[-1, -1], [-1, -1], [2, 2], [0, 0], [2, 2]]]],
[[4, 6, 3, 5, 1], [v = -1, u = 1, And(-1 < x,x < 1), x+1 < y, z < -1], [
regular_chain, [[-1, -1], [1, 1], [0, 0], [2, 2], [-2, -2]]]], [[4, 6, 3, 5, 2
], [v = -1, u = 1, And(-1 < x,x < 1), x+1 < y, z = -1], [regular_chain, [[-1,
-1], [1, 1], [0, 0], [2, 2], [-1, -1]]]], [[4, 6, 3, 5, 3], [v = -1, u = 1, 
And(-1 < x,x < 1), x+1 < y, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [1,
1], [0, 0], [2, 2], [0, 0]]]], [[4, 6, 3, 5, 4], [v = -1, u = 1, And(-1 < x,x
< 1), x+1 < y, z = 1], [regular_chain, [[-1, -1], [1, 1], [0, 0], [2, 2], [1,
1]]]], [[4, 6, 3, 5, 5], [v = -1, u = 1, And(-1 < x,x < 1), x+1 < y, 1 < z], [
regular_chain, [[-1, -1], [1, 1], [0, 0], [2, 2], [2, 2]]]], [[8, 1, 7, 3, 1],
[v = 1, u < -1, 1 < x, And(-u^2-x < y,y < u^2+x), z < u], [regular_chain, [[1,
1], [-2, -2], [2, 2], [0, 0], [-3, -3]]]], [[8, 1, 7, 3, 2], [v = 1, u < -1, 1
< x, And(-u^2-x < y,y < u^2+x), z = u], [regular_chain, [[1, 1], [-2, -2], [2,
2], [0, 0], [-2, -2]]]], [[8, 1, 7, 3, 3], [v = 1, u < -1, 1 < x, And(-u^2-x <
y,y < u^2+x), And(u < z,z < -u)], [regular_chain, [[1, 1], [-2, -2], [2, 2], [
0, 0], [0, 0]]]], [[8, 1, 7, 3, 4], [v = 1, u < -1, 1 < x, And(-u^2-x < y,y <
u^2+x), z = -u], [regular_chain, [[1, 1], [-2, -2], [2, 2], [0, 0], [2, 2]]]],
[[8, 1, 7, 3, 5], [v = 1, u < -1, 1 < x, And(-u^2-x < y,y < u^2+x), -u < z], [
regular_chain, [[1, 1], [-2, -2], [2, 2], [0, 0], [3, 3]]]], [[8, 5, 5, 5, 1],
[v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 1), u^2+x < y, z < -u], [
regular_chain, [[1, 1], [1/2, 1/2], [3/8, 3/8], [2, 2], [-2, -2]]]], [[8, 5, 5
, 5, 2], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 1), u^2+x < y, z = -u], [
regular_chain, [[1, 1], [1/2, 1/2], [3/8, 3/8], [2, 2], [-1/2, -1/2]]]], [[8,
5, 5, 5, 3], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 1), u^2+x < y, And(-u
< z,z < u)], [regular_chain, [[1, 1], [1/2, 1/2], [3/8, 3/8], [2, 2], [0, 0]]]
], [[8, 5, 5, 5, 4], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 1), u^2+x < y,
z = u], [regular_chain, [[1, 1], [1/2, 1/2], [3/8, 3/8], [2, 2], [1/2, 1/2]]]]
, [[8, 5, 5, 5, 5], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 1), u^2+x < y,
u < z], [regular_chain, [[1, 1], [1/2, 1/2], [3/8, 3/8], [2, 2], [2, 2]]]], [[
10, 10, 2, 2, 1], [v = 2^(1/2), u = v, x = -1, y = 0, z < -1], [regular_chain,
[[741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-1, -1],
[0, 0], [-2, -2]]]], [[10, 10, 2, 2, 2], [v = 2^(1/2), u = v, x = -1, y = 0, z
= -1], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 
1482911/1048576], [-1, -1], [0, 0], [-1, -1]]]], [[10, 10, 2, 2, 3], [v = 2^(1
/2), u = v, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[741455/524288
, 1482911/1048576], [741455/524288, 1482911/1048576], [-1, -1], [0, 0], [0, 0]
]]], [[10, 10, 2, 2, 4], [v = 2^(1/2), u = v, x = -1, y = 0, z = 1], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-1, -1], [0, 0], [1, 1]]]], [[10, 10, 2, 2, 5], [v = 2^(1/2), u = v
, x = -1, y = 0, 1 < z], [regular_chain, [[741455/524288, 1482911/1048576], [
741455/524288, 1482911/1048576], [-1, -1], [0, 0], [2, 2]]]], [[11, 3, 2, 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], [133001/262144, 532005/1048576], [-2, -2]]]], [[11, 3, 2, 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], [133001/262144, 532005/1048576], [-735979/1048576, -1471957/2097152]
]]], [[11, 3, 2, 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], [
133001/262144, 532005/1048576], [-1/4194304, -1/4194304]]]], [[11, 3, 2, 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], [133001/262144, 532005/1048576], [367989/524288, 735979/1048576]]]],
[[11, 3, 2, 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], [133001/262144, 532005/1048576], [2, 2]]]], [[1, 
11, 3, 3, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^
2+v^2-1), And(u^2-v^2+x+1 < y,y < -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], [0, 0], [-2, -2]]]], [[1, 11, 3, 3, 2], [v < -2^(1/2), And((v
^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -
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], [0, 0], [-735979/
1048576, -1471957/2097152]]]], [[1, 11, 3, 3, 3], [v < -2^(1/2), And((v^2-1)^(
1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -u^2+v^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],
[0, 0], [-1/4194304, -1/4194304]]]], [[1, 11, 3, 3, 4], [v < -2^(1/2), And((v^
2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -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], [0, 0], [367989/
524288, 735979/1048576]]]], [[1, 11, 3, 3, 5], [v < -2^(1/2), And((v^2-1)^(1/2
) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -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], [0, 0], [2, 2]]]], [[2, 2,
1, 5, 1], [v = -2^(1/2), u = v, x < -1, -1-x < y, z < -1], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-2, -2]
, [2, 2], [-2, -2]]]], [[2, 2, 1, 5, 2], [v = -2^(1/2), u = v, x < -1, -1-x <
y, z = -1], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [-2, -2], [2, 2], [-1, -1]]]], [[2, 2, 1, 5, 3], [v
= -2^(1/2), u = v, x < -1, -1-x < y, And(-1 < z,z < 1)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-2, -2]
, [2, 2], [0, 0]]]], [[2, 2, 1, 5, 4], [v = -2^(1/2), u = v, x < -1, -1-x < y,
z = 1], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576
, -741455/524288], [-2, -2], [2, 2], [1, 1]]]], [[2, 2, 1, 5, 5], [v = -2^(1/2
), u = v, x < -1, -1-x < y, 1 < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1482911/1048576, -741455/524288], [-2, -2], [2, 2], [2, 2]]]
], [[3, 6, 1, 3, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x < -1, And
(x < y,y < -x), z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[354469/524288, 708939/1048576], [-2, -2], [0, 0], [-1, -1]]]], [[3, 6, 1, 3,
2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x < -1, And(x < y,y < -x), z
= 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [-2, -2], [0, 0], [0, 0]]]], [[3, 6, 1, 3, 3], [And(-2^(1/2)
< v,v < -1), u = (v^2-1)^(1/2), x < -1, And(x < y,y < -x), 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-2, -2], [0, 0], [1, 1]]]], [[3, 9, 6, 5, 1], [And(-2^(1/2) < v,v <
-1), -v < u, x = 1, u^2-v^2+2 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [3, 3], [1, 1], [11, 11], [-4, -4]]]], [[
3, 9, 6, 5, 2], [And(-2^(1/2) < v,v < -1), -v < u, x = 1, u^2-v^2+2 < y, z = -
(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3,
3], [1, 1], [11, 11], [-1532401/524288, -24518415/8388608]]]], [[3, 9, 6, 5, 3
], [And(-2^(1/2) < v,v < -1), -v < u, x = 1, u^2-v^2+2 < y, 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], [11, 11], [-7/16777216, -7/16777216]]]], [[3, 9, 6,
5, 4], [And(-2^(1/2) < v,v < -1), -v < u, x = 1, u^2-v^2+2 < y, z = (u^2-v^2+1
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1, 1
], [11, 11], [3064801/1048576, 1532401/524288]]]], [[3, 9, 6, 5, 5], [And(-2^(
1/2) < v,v < -1), -v < u, x = 1, u^2-v^2+2 < y, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1, 1], [11, 11]
, [4, 4]]]], [[5, 5, 4, 2, 1], [And(-1 < v,v < 0), -v < u, x = -1, y = -u^2+v^
2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [-1, -1], [
-15/4, -15/4], [-4, -4]]]], [[5, 5, 4, 2, 2], [And(-1 < v,v < 0), -v < u, x =
-1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2,
2], [-1, -1], [-15/4, -15/4], [-2285319/1048576, -1142659/524288]]]], [[5, 5,
4, 2, 3], [And(-1 < v,v < 0), -v < 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], [2, 2], [-1,
-1], [-15/4, -15/4], [0, 0]]]], [[5, 5, 4, 2, 4], [And(-1 < v,v < 0), -v < u,
x = -1, y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
2, 2], [-1, -1], [-15/4, -15/4], [1142659/524288, 2285319/1048576]]]], [[5, 5,
4, 2, 5], [And(-1 < v,v < 0), -v < u, x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2)
< z], [regular_chain, [[-1/2, -1/2], [2, 2], [-1, -1], [-15/4, -15/4], [4, 4]]
]], [[7, 1, 2, 2, 1], [And(0 < v,v < 1), u < -v, x = -u^2+v^2-1, y = 0, z < -(
u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2], [-19/4, -19/4], [0,
0], [-4, -4]]]], [[7, 1, 2, 2, 2], [And(0 < v,v < 1), u < -v, x = -u^2+v^2-1,
y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2], [-19/4,
-19/4], [0, 0], [-2285319/1048576, -1142659/524288]]]], [[7, 1, 2, 2, 3], [And
(0 < v,v < 1), 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], [-2, -2], [-19/4, -19/4], [0,
0], [0, 0]]]], [[7, 1, 2, 2, 4], [And(0 < v,v < 1), u < -v, x = -u^2+v^2-1, y
= 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2], [-19/4, -\
19/4], [0, 0], [1142659/524288, 2285319/1048576]]]], [[7, 1, 2, 2, 5], [And(0
< v,v < 1), u < -v, x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-2, -2], [-19/4, -19/4], [0, 0], [4, 4]]]], [[9,
4, 3, 5, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), -
x < y, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [-1/2, -1/2], [2, 2], [-1, -1]]]], [[9, 4, 3, 5, 2],
[And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), -x < y, z = 0]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [-1/2, -1/2], [2, 2], [0, 0]]]], [[9, 4, 3, 5, 3], [And(1 < v,
v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), -x < y, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-1/2, -1/2], [2, 2], [1, 1]]]], [[9, 7, 7, 2, 1], [And(1 < v,v < 2^
(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576
, 987341/1048576], [2, 2], [-636881/262144, -2547523/1048576], [-2, -2]]]], [[
9, 7, 7, 2, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x,
y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [-636881/262144, -\
2547523/1048576], [-1374407/2097152, -687203/1048576]]]], [[9, 7, 7, 2, 3], [
And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, y = -u^2+v^2-x-1,
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [-636881/
262144, -2547523/1048576], [0, 0]]]], [[9, 7, 7, 2, 4], [And(1 < v,v < 2^(1/2)
), And((v^2-1)^(1/2) < u,u < v), 1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [2, 2], [-636881/262144, -2547523/1048576], [687203/1048576,
171801/262144]]]], [[9, 7, 7, 2, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2
) < u,u < v), 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [2, 2],
[-636881/262144, -2547523/1048576], [2, 2]]]], [[9, 9, 7, 5, 1], [And(1 < v,v
< 2^(1/2)), v < u, 1 < x, u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [2, 2], [12, 12],
[-4, -4]]]], [[9, 9, 7, 5, 2], [And(1 < v,v < 2^(1/2)), v < u, 1 < x, u^2-v^2+
x+1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [2, 2], [12, 12], [-1532401/524288, -24518415/8388608]]]], [
[9, 9, 7, 5, 3], [And(1 < v,v < 2^(1/2)), v < u, 1 < x, u^2-v^2+x+1 < y, 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], [2, 2], [12, 12], [-7/16777216, -7/16777216
]]]], [[9, 9, 7, 5, 4], [And(1 < v,v < 2^(1/2)), v < u, 1 < x, u^2-v^2+x+1 < y
, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[3, 3], [2, 2], [12, 12], [3064801/1048576, 1532401/524288]]]], [[9, 9, 7, 5,
5], [And(1 < v,v < 2^(1/2)), v < u, 1 < x, u^2-v^2+x+1 < y, (u^2-v^2+1)^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [2, 2], [12
, 12], [4, 4]]]], [[10, 4, 6, 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, 4, 6, 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, 4, 6, 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]]]], [[11, 8, 5, 5, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), 1 < x, x-1 <
y, z = z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [2, 2], [2,
2], [0, 0]]]], [[11, 12, 4, 2, 1], [2^(1/2) < v, u = v, x = 1, y = -2, z < -1]
, [regular_chain, [[3, 3], [3, 3], [1, 1], [-2, -2], [-2, -2]]]], [[11, 12, 4,
2, 2], [2^(1/2) < v, u = v, x = 1, y = -2, z = -1], [regular_chain, [[3, 3], [
3, 3], [1, 1], [-2, -2], [-1, -1]]]], [[11, 12, 4, 2, 3], [2^(1/2) < v, u = v,
x = 1, y = -2, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [3, 3], [1, 1], [-\
2, -2], [0, 0]]]], [[11, 12, 4, 2, 4], [2^(1/2) < v, u = v, x = 1, y = -2, z =
1], [regular_chain, [[3, 3], [3, 3], [1, 1], [-2, -2], [1, 1]]]], [[11, 12, 4,
2, 5], [2^(1/2) < v, u = v, x = 1, y = -2, 1 < z], [regular_chain, [[3, 3], [3
, 3], [1, 1], [-2, -2], [2, 2]]]], [[1, 1, 6, 5, 1], [v < -2^(1/2), u < v, x =
1, u^2-v^2+2 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4]
, [1, 1], [10, 10], [-4, -4]]]], [[1, 1, 6, 5, 2], [v < -2^(1/2), u < v, x = 1
, u^2-v^2+2 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4],
[1, 1], [10, 10], [-2965821/1048576, -11863283/4194304]]]], [[1, 1, 6, 5, 3],
[v < -2^(1/2), u < v, x = 1, u^2-v^2+2 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^
2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-4, -4], [1, 1], [10, 10], [-3/
8388608, -3/8388608]]]], [[1, 1, 6, 5, 4], [v < -2^(1/2), u < v, x = 1, u^2-v^
2+2 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-4, -4], [1, 1],
[10, 10], [741455/262144, 2965821/1048576]]]], [[1, 1, 6, 5, 5], [v < -2^(1/2)
, u < v, x = 1, u^2-v^2+2 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -\
3], [-4, -4], [1, 1], [10, 10], [4, 4]]]], [[1, 5, 5, 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], [395403/524288, 395403/524288], [-257771/1048576, -128885/524288], [
0, 0]]]], [[2, 7, 7, 2, 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, 11, 5, 4, 1], [v = -2^(1/2), -v < u, And(
-1 < x,x < 1), y = u^2+x-1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [0, 0], [8, 8], [-4, -4]]]], [[2, 11, 5, 4,
2], [v = -2^(1/2), -v < u, And(-1 < x,x < 1), y = u^2+x-1, z = -(u^2-1)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [0, 0], [8, 8],
[-2965821/1048576, -11863283/4194304]]]], [[2, 11, 5, 4, 3], [v = -2^(1/2), -v
< u, And(-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], [0, 0], [8, 8]
, [-3/8388608, -3/8388608]]]], [[2, 11, 5, 4, 4], [v = -2^(1/2), -v < u, And(-\
1 < x,x < 1), y = u^2+x-1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [0, 0], [8, 8], [741455/262144, 2965821/
1048576]]]], [[2, 11, 5, 4, 5], [v = -2^(1/2), -v < u, And(-1 < x,x < 1), y =
u^2+x-1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [0, 0], [8, 8], [4, 4]]]], [[4, 2, 5, 2, 1], [v = -1, u = -1,
1 < x, y = -1-x, z < -1], [regular_chain, [[-1, -1], [-1, -1], [2, 2], [-3, -3
], [-2, -2]]]], [[4, 2, 5, 2, 2], [v = -1, u = -1, 1 < x, y = -1-x, z = -1], [
regular_chain, [[-1, -1], [-1, -1], [2, 2], [-3, -3], [-1, -1]]]], [[4, 2, 5,
2, 3], [v = -1, u = -1, 1 < x, y = -1-x, And(-1 < z,z < 1)], [regular_chain, [
[-1, -1], [-1, -1], [2, 2], [-3, -3], [0, 0]]]], [[4, 2, 5, 2, 4], [v = -1, u
= -1, 1 < x, y = -1-x, z = 1], [regular_chain, [[-1, -1], [-1, -1], [2, 2], [-\
3, -3], [1, 1]]]], [[4, 2, 5, 2, 5], [v = -1, u = -1, 1 < x, y = -1-x, 1 < z],
[regular_chain, [[-1, -1], [-1, -1], [2, 2], [-3, -3], [2, 2]]]], [[4, 6, 3, 4
, 1], [v = -1, u = 1, And(-1 < x,x < 1), y = x+1, z < -1], [regular_chain, [[-\
1, -1], [1, 1], [0, 0], [1, 1], [-2, -2]]]], [[4, 6, 3, 4, 2], [v = -1, u = 1,
And(-1 < x,x < 1), y = x+1, z = -1], [regular_chain, [[-1, -1], [1, 1], [0, 0]
, [1, 1], [-1, -1]]]], [[4, 6, 3, 4, 3], [v = -1, u = 1, And(-1 < x,x < 1), y
= x+1, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [1, 1], [0, 0], [1, 1],
[0, 0]]]], [[4, 6, 3, 4, 4], [v = -1, u = 1, And(-1 < x,x < 1), y = x+1, z = 1
], [regular_chain, [[-1, -1], [1, 1], [0, 0], [1, 1], [1, 1]]]], [[4, 6, 3, 4,
5], [v = -1, u = 1, And(-1 < x,x < 1), y = x+1, 1 < z], [regular_chain, [[-1,
-1], [1, 1], [0, 0], [1, 1], [2, 2]]]], [[8, 1, 7, 4, 1], [v = 1, u < -1, 1 <
x, y = u^2+x, z < u], [regular_chain, [[1, 1], [-2, -2], [2, 2], [6, 6], [-3,
-3]]]], [[8, 1, 7, 4, 2], [v = 1, u < -1, 1 < x, y = u^2+x, z = u], [
regular_chain, [[1, 1], [-2, -2], [2, 2], [6, 6], [-2, -2]]]], [[8, 1, 7, 4, 3
], [v = 1, u < -1, 1 < x, y = u^2+x, And(u < z,z < -u)], [regular_chain, [[1,
1], [-2, -2], [2, 2], [6, 6], [0, 0]]]], [[8, 1, 7, 4, 4], [v = 1, u < -1, 1 <
x, y = u^2+x, z = -u], [regular_chain, [[1, 1], [-2, -2], [2, 2], [6, 6], [2,
2]]]], [[8, 1, 7, 4, 5], [v = 1, u < -1, 1 < x, y = u^2+x, -u < z], [
regular_chain, [[1, 1], [-2, -2], [2, 2], [6, 6], [3, 3]]]], [[8, 5, 6, 1, 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, -3], [-2, -2]]]], [[8, 5, 6, 1, 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, -3], [-1/2, -1/2]]]], [[8, 5, 6, 1, 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, -3], [0, 0]]]], [[8, 5, 6, 1, 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, -3], [1/2, 1
/2]]]], [[8, 5, 6, 1, 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, -3], [2, 2]]]], [[10, 10, 2,
1, 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], [-1, -1]
, [-2, -2]]]], [[10, 10, 2, 1, 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], [-1, -1], [-1, -1]]]], [[10, 10, 2, 1, 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], [-1, -1], [0, 0]
]]], [[10, 10, 2, 1, 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], [-1, -1], [1, 1]]]], [[10, 10, 2, 1, 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], [-1, -1], [2, 2]]]], [[11, 3, 2, 3,
1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y <
-u^2+v^2), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152
, -6111549/2097152], [-1, -1], [0, 0], [-2, -2]]]], [[11, 3, 2, 3, 2], [2^(1/2
) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < -u^2+v^2),
z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-1, -1], [0, 0], [-735979/1048576, -1471957/2097152]]]], [[11, 3, 2
, 3, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y
,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], [0, 0]
, [-1/4194304, -1/4194304]]]], [[11, 3, 2, 3, 4], [2^(1/2) < v, And(-v < u,u <
-(v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < -u^2+v^2), z = (u^2-v^2+1)^(1/2)]
, [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [0,
0], [367989/524288, 735979/1048576]]]], [[11, 3, 2, 3, 5], [2^(1/2) < v, And(-
v < u,u < -(v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < -u^2+v^2), (u^2-v^2+1)^
(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-1
, -1], [0, 0], [2, 2]]]], [[1, 11, 3, 2, 1], [v < -2^(1/2), And((v^2-1)^(1/2)
< u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/
2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-391287/
524288, -391287/524288], [-266003/1048576, -133001/524288], [-2, -2]]]], [[1,
11, 3, 2, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^
2+v^2-1), y = u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3],
[6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [-266003
/1048576, -133001/524288], [-735979/1048576, -1471957/2097152]]]], [[1, 11, 3,
2, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1
), y = u^2-v^2+x+1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-391287/524288,
-391287/524288], [-266003/1048576, -133001/524288], [-1/4194304, -1/4194304]]]
], [[1, 11, 3, 2, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x
,x < -u^2+v^2-1), y = u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-\
3, -3], [6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288],
[-266003/1048576, -133001/524288], [367989/524288, 735979/1048576]]]], [[1, 11
, 3, 2, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+
v^2-1), y = u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [-266003/
1048576, -133001/524288], [2, 2]]]], [[2, 2, 1, 4, 1], [v = -2^(1/2), u = v, x
< -1, y = -1-x, z < -1], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1482911/1048576, -741455/524288], [-2, -2], [1, 1], [-2, -2]]]], [[2, 2, 1,
4, 2], [v = -2^(1/2), u = v, x < -1, y = -1-x, z = -1], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-2, -2]
, [1, 1], [-1, -1]]]], [[2, 2, 1, 4, 3], [v = -2^(1/2), u = v, x < -1, y = -1-
x, And(-1 < z,z < 1)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1482911/1048576, -741455/524288], [-2, -2], [1, 1], [0, 0]]]], [[2, 2, 1, 4, 4
], [v = -2^(1/2), u = v, x < -1, y = -1-x, z = 1], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-2, -2], [1, 1]
, [1, 1]]]], [[2, 2, 1, 4, 5], [v = -2^(1/2), u = v, x < -1, y = -1-x, 1 < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -\
741455/524288], [-2, -2], [1, 1], [2, 2]]]], [[3, 6, 1, 4, 1], [And(-2^(1/2) <
v,v < -1), u = (v^2-1)^(1/2), x < -1, y = -x, z < 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-2, -2],
[2, 2], [-1, -1]]]], [[3, 6, 1, 4, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^
(1/2), x < -1, y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [354469/524288, 708939/1048576], [-2, -2], [2, 2], [0, 0]]]], [[3, 6
, 1, 4, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x < -1, y = -x, 0 <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [-2, -2], [2, 2], [1, 1]]]], [[3, 9, 7, 1, 1], [And(-2^(1/2)
< v,v < -1), -v < u, 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], [2, 2], [-12, -\
12], [-4, -4]]]], [[3, 9, 7, 1, 2], [And(-2^(1/2) < v,v < -1), -v < u, 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], [2, 2], [-12, -12], [-1532401/524288, -24518415/
8388608]]]], [[3, 9, 7, 1, 3], [And(-2^(1/2) < v,v < -1), -v < u, 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], [2, 2], [-12, -\
12], [-7/16777216, -7/16777216]]]], [[3, 9, 7, 1, 4], [And(-2^(1/2) < v,v < -1
), -v < u, 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], [2, 2], [-12, -12], [3064801/
1048576, 1532401/524288]]]], [[3, 9, 7, 1, 5], [And(-2^(1/2) < v,v < -1), -v <
u, 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], [2, 2], [-12, -12], [4, 4]]]], [[5, 5, 4,
1, 1], [And(-1 < v,v < 0), -v < u, x = -1, y < -u^2+v^2, z < -(u^2-v^2+1)^(1/2
)], [regular_chain, [[-1/2, -1/2], [2, 2], [-1, -1], [-5, -5], [-4, -4]]]], [[
5, 5, 4, 1, 2], [And(-1 < v,v < 0), -v < u, x = -1, y < -u^2+v^2, z = -(u^2-v^
2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [-1, -1], [-5, -5], [-\
2285319/1048576, -1142659/524288]]]], [[5, 5, 4, 1, 3], [And(-1 < v,v < 0), -v
< 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], [2, 2], [-1, -1], [-5, -5], [0, 0]]]], [[5, 5,
4, 1, 4], [And(-1 < v,v < 0), -v < u, x = -1, y < -u^2+v^2, z = (u^2-v^2+1)^(1
/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [-1, -1], [-5, -5], [1142659/
524288, 2285319/1048576]]]], [[5, 5, 4, 1, 5], [And(-1 < v,v < 0), -v < u, x =
-1, y < -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [2, 2
], [-1, -1], [-5, -5], [4, 4]]]], [[7, 1, 2, 1, 1], [And(0 < v,v < 1), u < -v,
x = -u^2+v^2-1, y < 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [
-2, -2], [-19/4, -19/4], [-1, -1], [-4, -4]]]], [[7, 1, 2, 1, 2], [And(0 < v,v
< 1), u < -v, x = -u^2+v^2-1, y < 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain,
[[1/2, 1/2], [-2, -2], [-19/4, -19/4], [-1, -1], [-2285319/1048576, -1142659/
524288]]]], [[7, 1, 2, 1, 3], [And(0 < v,v < 1), 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], [-2, -2], [-19/4, -19/4], [-1, -1], [0, 0]]]], [[7, 1, 2, 1, 4], [And(0 <
v,v < 1), u < -v, x = -u^2+v^2-1, y < 0, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-2, -2], [-19/4, -19/4], [-1, -1], [1142659/
524288, 2285319/1048576]]]], [[7, 1, 2, 1, 5], [And(0 < v,v < 1), u < -v, x =
-u^2+v^2-1, y < 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-2, -\
2], [-19/4, -19/4], [-1, -1], [4, 4]]]], [[9, 4, 4, 1, 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], [-1, -1
], [-1, -1]]]], [[9, 4, 4, 1, 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], [-1, -1], [0, 0]]]], [[9, 4, 4, 1, 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], [-1, -1], [1, 1]]]], [[9, 7, 7, 3, 1], [And(1 < v,v < 2^(1/2
)), And((v^2-1)^(1/2) < u,u < v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1)
, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [987341/1048576, 987341/1048576], [2, 2], [0, 0], [-2, -2]]]], [[9, 7, 7, 3,
2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, And(-u^2+v^2
-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [0, 0], [
-1374407/2097152, -687203/1048576]]]], [[9, 7, 7, 3, 3], [And(1 < v,v < 2^(1/2
)), And((v^2-1)^(1/2) < u,u < v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1)
, And(-(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], [
0, 0], [0, 0]]]], [[9, 7, 7, 3, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2)
< u,u < v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2-v^2+1)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [2, 2], [0, 0], [687203/1048576, 171801/262144]]]], [[9, 7, 7
, 3, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, And(-u^
2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [
0, 0], [2, 2]]]], [[9, 9, 7, 4, 1], [And(1 < v,v < 2^(1/2)), v < u, 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], [2, 2], [11055025/1048576, 5527513/524288], [-4, -4]
]]], [[9, 9, 7, 4, 2], [And(1 < v,v < 2^(1/2)), v < u, 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], [2, 2], [11055025/1048576, 5527513/524288], [-1532401/524288, -\
24518415/8388608]]]], [[9, 9, 7, 4, 3], [And(1 < v,v < 2^(1/2)), v < u, 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], [2, 2], [11055025/
1048576, 5527513/524288], [-7/16777216, -7/16777216]]]], [[9, 9, 7, 4, 4], [
And(1 < v,v < 2^(1/2)), v < u, 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], [2, 2], [11055025
/1048576, 5527513/524288], [3064801/1048576, 1532401/524288]]]], [[9, 9, 7, 4,
5], [And(1 < v,v < 2^(1/2)), v < u, 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], [2, 2], [
11055025/1048576, 5527513/524288], [4, 4]]]], [[10, 4, 6, 1, 1], [v = 2^(1/2),
u = -1, x = 1, y < -1, z < 0], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [1, 1], [-2, -2], [-1, -1]]]], [[10, 4, 6, 1, 2], [v = 2^(
1/2), u = -1, x = 1, y < -1, z = 0], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [1, 1], [-2, -2], [0, 0]]]], [[10, 4, 6, 1, 3], [v = 2^(1/
2), u = -1, x = 1, y < -1, 0 < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [1, 1], [-2, -2], [1, 1]]]], [[11, 9, 1, 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+x+1, z = z],
[regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-2, -2], [-4, -4],
[0, 0]]]], [[11, 12, 4, 3, 1], [2^(1/2) < v, u = v, x = 1, And(-2 < y,y < 2),
z < -1], [regular_chain, [[3, 3], [3, 3], [1, 1], [0, 0], [-2, -2]]]], [[11, 
12, 4, 3, 2], [2^(1/2) < v, u = v, x = 1, And(-2 < y,y < 2), z = -1], [
regular_chain, [[3, 3], [3, 3], [1, 1], [0, 0], [-1, -1]]]], [[11, 12, 4, 3, 3
], [2^(1/2) < v, u = v, x = 1, And(-2 < y,y < 2), And(-1 < z,z < 1)], [
regular_chain, [[3, 3], [3, 3], [1, 1], [0, 0], [0, 0]]]], [[11, 12, 4, 3, 4],
[2^(1/2) < v, u = v, x = 1, And(-2 < y,y < 2), z = 1], [regular_chain, [[3, 3]
, [3, 3], [1, 1], [0, 0], [1, 1]]]], [[11, 12, 4, 3, 5], [2^(1/2) < v, u = v,
x = 1, And(-2 < y,y < 2), 1 < z], [regular_chain, [[3, 3], [3, 3], [1, 1], [0,
0], [2, 2]]]], [[1, 2, 1, 3, 1], [v < -2^(1/2), u = v, x < -1, And(x+1 < y,y <
-1-x), z < -1], [regular_chain, [[-3, -3], [-3, -3], [-2, -2], [0, 0], [-2, -2
]]]], [[1, 2, 1, 3, 2], [v < -2^(1/2), u = v, x < -1, And(x+1 < y,y < -1-x), z
= -1], [regular_chain, [[-3, -3], [-3, -3], [-2, -2], [0, 0], [-1, -1]]]], [[1
, 2, 1, 3, 3], [v < -2^(1/2), u = v, x < -1, And(x+1 < y,y < -1-x), And(-1 < z
,z < 1)], [regular_chain, [[-3, -3], [-3, -3], [-2, -2], [0, 0], [0, 0]]]], [[
1, 2, 1, 3, 4], [v < -2^(1/2), u = v, x < -1, And(x+1 < y,y < -1-x), z = 1], [
regular_chain, [[-3, -3], [-3, -3], [-2, -2], [0, 0], [1, 1]]]], [[1, 2, 1, 3,
5], [v < -2^(1/2), u = v, x < -1, And(x+1 < y,y < -1-x), 1 < z], [
regular_chain, [[-3, -3], [-3, -3], [-2, -2], [0, 0], [2, 2]]]], [[1, 7, 1, 4,
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-x-1, z = z], [regular_chain, [[-3, -3], [0, 0], [-2, -2], [10, 10], [0, 0
]]]], [[2, 8, 5, 3, 1], [v = -2^(1/2), u = 1, And(0 < x,x < 1), And(-x < y,y <
x), z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [1/2,
1/2], [0, 0], [-1, -1]]]], [[2, 8, 5, 3, 2], [v = -2^(1/2), u = 1, And(0 < x,x
< 1), And(-x < y,y < x), z = 0], [regular_chain, [[-1482911/1048576, -741455/
524288], [1, 1], [1/2, 1/2], [0, 0], [0, 0]]]], [[2, 8, 5, 3, 3], [v = -2^(1/2
), u = 1, And(0 < x,x < 1), And(-x < y,y < x), 0 < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [1/2, 1/2], [0, 0], [1, 1]]]], [[3,
2, 3, 4, 1], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 1), y = x+1, z <
-1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576,
-1265743/1048576], [0, 0], [1, 1], [-2, -2]]]], [[3, 2, 3, 4, 2], [And(-2^(1/2
) < v,v < -1), u = v, And(-1 < x,x < 1), y = x+1, z = -1], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [0,
0], [1, 1], [-1, -1]]]], [[3, 2, 3, 4, 3], [And(-2^(1/2) < v,v < -1), u = v, 
And(-1 < x,x < 1), y = x+1, And(-1 < z,z < 1)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [1,
1], [0, 0]]]], [[3, 2, 3, 4, 4], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,
x < 1), y = x+1, z = 1], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [1, 1]]]], [[3, 2, 3,
4, 5], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 1), y = x+1, 1 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [1, 1], [2, 2]]]], [[4, 3, 1, 5, 1], [v = -1, And(-1
< u,u < 0), x < -1, -u^2-x < y, z < u], [regular_chain, [[-1, -1], [-1/2, -1/2
], [-2, -2], [3, 3], [-2, -2]]]], [[4, 3, 1, 5, 2], [v = -1, And(-1 < u,u < 0)
, x < -1, -u^2-x < y, z = u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-2, -2
], [3, 3], [-1/2, -1/2]]]], [[4, 3, 1, 5, 3], [v = -1, And(-1 < u,u < 0), x <
-1, -u^2-x < y, And(u < z,z < -u)], [regular_chain, [[-1, -1], [-1/2, -1/2], [
-2, -2], [3, 3], [0, 0]]]], [[4, 3, 1, 5, 4], [v = -1, And(-1 < u,u < 0), x <
-1, -u^2-x < y, z = -u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-2, -2], [3
, 3], [1/2, 1/2]]]], [[4, 3, 1, 5, 5], [v = -1, And(-1 < u,u < 0), x < -1, -u^
2-x < y, -u < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-2, -2], [3, 3], [
2, 2]]]], [[4, 7, 7, 1, 1], [v = -1, 1 < u, 1 < x, y < -u^2-x, z < -u], [
regular_chain, [[-1, -1], [2, 2], [2, 2], [-7, -7], [-3, -3]]]], [[4, 7, 7, 1,
2], [v = -1, 1 < u, 1 < x, y < -u^2-x, z = -u], [regular_chain, [[-1, -1], [2,
2], [2, 2], [-7, -7], [-2, -2]]]], [[4, 7, 7, 1, 3], [v = -1, 1 < u, 1 < x, y
< -u^2-x, And(-u < z,z < u)], [regular_chain, [[-1, -1], [2, 2], [2, 2], [-7,
-7], [0, 0]]]], [[4, 7, 7, 1, 4], [v = -1, 1 < u, 1 < x, y < -u^2-x, z = u], [
regular_chain, [[-1, -1], [2, 2], [2, 2], [-7, -7], [2, 2]]]], [[4, 7, 7, 1, 5
], [v = -1, 1 < u, 1 < x, y < -u^2-x, u < z], [regular_chain, [[-1, -1], [2, 2
], [2, 2], [-7, -7], [3, 3]]]], [[8, 2, 5, 5, 1], [v = 1, u = -1, 1 < x, x+1 <
y, z < -1], [regular_chain, [[1, 1], [-1, -1], [2, 2], [4, 4], [-2, -2]]]], [[
8, 2, 5, 5, 2], [v = 1, u = -1, 1 < x, x+1 < y, z = -1], [regular_chain, [[1,
1], [-1, -1], [2, 2], [4, 4], [-1, -1]]]], [[8, 2, 5, 5, 3], [v = 1, u = -1, 1
< x, x+1 < y, And(-1 < z,z < 1)], [regular_chain, [[1, 1], [-1, -1], [2, 2], [
4, 4], [0, 0]]]], [[8, 2, 5, 5, 4], [v = 1, u = -1, 1 < x, x+1 < y, z = 1], [
regular_chain, [[1, 1], [-1, -1], [2, 2], [4, 4], [1, 1]]]], [[8, 2, 5, 5, 5],
[v = 1, u = -1, 1 < x, x+1 < y, 1 < z], [regular_chain, [[1, 1], [-1, -1], [2,
2], [4, 4], [2, 2]]]], [[8, 7, 6, 1, 1], [v = 1, 1 < u, x = 1, y < -u^2-1, z <
-u], [regular_chain, [[1, 1], [2, 2], [1, 1], [-6, -6], [-3, -3]]]], [[8, 7, 6
, 1, 2], [v = 1, 1 < u, x = 1, y < -u^2-1, z = -u], [regular_chain, [[1, 1], [
2, 2], [1, 1], [-6, -6], [-2, -2]]]], [[8, 7, 6, 1, 3], [v = 1, 1 < u, x = 1,
y < -u^2-1, And(-u < z,z < u)], [regular_chain, [[1, 1], [2, 2], [1, 1], [-6,
-6], [0, 0]]]], [[8, 7, 6, 1, 4], [v = 1, 1 < u, x = 1, y < -u^2-1, z = u], [
regular_chain, [[1, 1], [2, 2], [1, 1], [-6, -6], [2, 2]]]], [[8, 7, 6, 1, 5],
[v = 1, 1 < u, x = 1, y < -u^2-1, u < z], [regular_chain, [[1, 1], [2, 2], [1,
1], [-6, -6], [3, 3]]]], [[10, 8, 4, 1, 1], [v = 2^(1/2), u = 1, x = 0, y < 0,
z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [0, 0], [-1
, -1], [-1, -1]]]], [[10, 8, 4, 1, 2], [v = 2^(1/2), u = 1, x = 0, y < 0, z =
0], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [0, 0], [-1, -1
], [0, 0]]]], [[10, 8, 4, 1, 3], [v = 2^(1/2), u = 1, x = 0, y < 0, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [0, 0], [-1, -1], [1
, 1]]]], [[11, 2, 2, 2, 1], [2^(1/2) < v, u = -v, x = -1, y = 0, z < -1], [
regular_chain, [[3, 3], [-3, -3], [-1, -1], [0, 0], [-2, -2]]]], [[11, 2, 2, 2
, 2], [2^(1/2) < v, u = -v, x = -1, y = 0, z = -1], [regular_chain, [[3, 3], [
-3, -3], [-1, -1], [0, 0], [-1, -1]]]], [[11, 2, 2, 2, 3], [2^(1/2) < v, u = -
v, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [-3, -3], [-1,
-1], [0, 0], [0, 0]]]], [[11, 2, 2, 2, 4], [2^(1/2) < v, u = -v, x = -1, y = 0
, z = 1], [regular_chain, [[3, 3], [-3, -3], [-1, -1], [0, 0], [1, 1]]]], [[11
, 2, 2, 2, 5], [2^(1/2) < v, u = -v, x = -1, y = 0, 1 < z], [regular_chain, [[
3, 3], [-3, -3], [-1, -1], [0, 0], [2, 2]]]], [[1, 9, 5, 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]]]],
[[2, 1, 3, 5, 1], [v = -2^(1/2), u < v, And(-u^2+1 < x,x < -1), u^2+x-1 < y, z
< -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -\
3], [-9/2, -9/2], [5, 5], [-4, -4]]]], [[2, 1, 3, 5, 2], [v = -2^(1/2), u < v,
And(-u^2+1 < x,x < -1), u^2+x-1 < y, z = -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [-9/2, -9/2], [5, 5], [-2965821/
1048576, -11863283/4194304]]]], [[2, 1, 3, 5, 3], [v = -2^(1/2), u < v, And(-u
^2+1 < x,x < -1), u^2+x-1 < y, 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], [5
, 5], [-3/8388608, -3/8388608]]]], [[2, 1, 3, 5, 4], [v = -2^(1/2), u < v, And
(-u^2+1 < x,x < -1), u^2+x-1 < y, z = (u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [-9/2, -9/2], [5, 5], [741455/
262144, 2965821/1048576]]]], [[2, 1, 3, 5, 5], [v = -2^(1/2), u < v, And(-u^2+
1 < x,x < -1), u^2+x-1 < y, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [-9/2, -9/2], [5, 5], [4, 4]]]], [[3, 4, 7
, 2, 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, 4, 7, 2, 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, 4, 7, 2, 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]]]], [[3
, 9, 5, 3, 1], [And(-2^(1/2) < v,v < -1), -v < u, And(-1 < x,x < 1), And(-u^2+
v^2-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [0, 0], [0, 0], [-4, -4]]]], [[3,
9, 5, 3, 2], [And(-2^(1/2) < v,v < -1), -v < u, And(-1 < x,x < 1), And(-u^2+v^
2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [0, 0], [0, 0], [-1532401/524288,
-24518415/8388608]]]], [[3, 9, 5, 3, 3], [And(-2^(1/2) < v,v < -1), -v < u, 
And(-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^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], [0, 0], [0, 0], [-7/16777216, -7/16777216]]]], [[3, 9, 5, 3,
4], [And(-2^(1/2) < v,v < -1), -v < u, And(-1 < x,x < 1), And(-u^2+v^2-x-1 < y
,y < u^2-v^2+x+1), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [3, 3], [0, 0], [0, 0], [3064801/1048576, 1532401/524288]]]
], [[3, 9, 5, 3, 5], [And(-2^(1/2) < v,v < -1), -v < u, And(-1 < x,x < 1), And
(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [3, 3], [0, 0], [0, 0], [4, 4]]]], [[5, 3
, 3, 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, 3, 3, 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, 3, 3, 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, 3, 3, 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, 3, 3, 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]]]], [[6, 3, 4, 2, 1], [v = 0, 0 < u, x = -1, y = -u^2, z < -(
u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-1, -1], [-1, -1], [-3, -3]]]
], [[6, 3, 4, 2, 2], [v = 0, 0 < u, x = -1, y = -u^2, z = -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-1, -1], [-1, -1], [-1482911/1048576, -741455
/524288]]]], [[6, 3, 4, 2, 3], [v = 0, 0 < u, x = -1, y = -u^2, And(-(u^2+1)^(
1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [1, 1], [-1, -1], [-1,
-1], [0, 0]]]], [[6, 3, 4, 2, 4], [v = 0, 0 < u, x = -1, y = -u^2, z = (u^2+1)
^(1/2)], [regular_chain, [[0, 0], [1, 1], [-1, -1], [-1, -1], [741455/524288,
1482911/1048576]]]], [[6, 3, 4, 2, 5], [v = 0, 0 < u, x = -1, y = -u^2, (u^2+1
)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [-1, -1], [-1, -1], [3, 3]]]],
[[9, 3, 2, 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], [598205/
1048576, 299103/524288], [-2, -2]]]], [[9, 3, 2, 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], [598205/1048576, 299103/524288], [-1374407/2097152
, -687203/1048576]]]], [[9, 3, 2, 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], [598205/1048576, 299103/524288], [0, 0]]
]], [[9, 3, 2, 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], [
598205/1048576, 299103/524288], [687203/1048576, 171801/262144]]]], [[9, 3, 2,
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], [598205/1048576, 
299103/524288], [2, 2]]]], [[9, 7, 5, 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), u^2-v^2+x+1 < y, z < -(u^2-v^
2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [598205/2097152, 598205/2097152], [2, 2], [-2, -2]]]
], [[9, 7, 5, 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), u^2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [598205/2097152, 598205/2097152], [2, 2], [-1374407/2097152, -687203
/1048576]]]], [[9, 7, 5, 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), u^2-v^2+x+1 < y, 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], [598205/2097152, 598205/2097152], [2, 2],
[0, 0]]]], [[9, 7, 5, 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), u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [598205/2097152, 598205/2097152], [2, 2], [687203/1048576, 171801/
262144]]]], [[9, 7, 5, 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), u^2-v^2+x+1 < y, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [598205/2097152, 598205/2097152], [2, 2], [2, 2]]]], [[10, 1, 2, 2,
1], [v = 2^(1/2), u < -v, x = -u^2+1, y = 0, z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-8, -8], [0, 0],
[-4, -4]]]], [[10, 1, 2, 2, 2], [v = 2^(1/2), u < -v, x = -u^2+1, y = 0, z = -
(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [
-8, -8], [0, 0], [-2965821/1048576, -11863283/4194304]]]], [[10, 1, 2, 2, 3],
[v = 2^(1/2), u < -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], [-3, -3], [-8, -8],
[0, 0], [-3/8388608, -3/8388608]]]], [[10, 1, 2, 2, 4], [v = 2^(1/2), u < -v,
x = -u^2+1, y = 0, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [-8, -8], [0, 0], [741455/262144, 2965821/1048576]
]]], [[10, 1, 2, 2, 5], [v = 2^(1/2), u < -v, 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, 7, 3, 1], [v = 2^(1/2), And(-1 < u,u < 0), 1 < x, 
And(-u^2-x+1 < y,y < u^2+x-1), z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [2, 2], [0, 0], [0, 0]]]], [[11, 9, 6, 2, 1],
[2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2,
z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1, 1], [-\
128885/262144, -515539/1048576], [0, 0]]]], [[1, 2, 1, 4, 1], [v < -2^(1/2), u
= v, x < -1, y = -1-x, z < -1], [regular_chain, [[-3, -3], [-3, -3], [-2, -2],
[1, 1], [-2, -2]]]], [[1, 2, 1, 4, 2], [v < -2^(1/2), u = v, x < -1, y = -1-x,
z = -1], [regular_chain, [[-3, -3], [-3, -3], [-2, -2], [1, 1], [-1, -1]]]], [
[1, 2, 1, 4, 3], [v < -2^(1/2), u = v, x < -1, y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[-3, -3], [-3, -3], [-2, -2], [1, 1], [0, 0]]]], [[1, 2, 1, 4,
4], [v < -2^(1/2), u = v, x < -1, y = -1-x, z = 1], [regular_chain, [[-3, -3],
[-3, -3], [-2, -2], [1, 1], [1, 1]]]], [[1, 2, 1, 4, 5], [v < -2^(1/2), u = v,
x < -1, y = -1-x, 1 < z], [regular_chain, [[-3, -3], [-3, -3], [-2, -2], [1, 1
], [2, 2]]]], [[1, 7, 1, 5, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2
-2)^(1/2)), x < -1, -u^2+v^2-x-1 < y, z = z], [regular_chain, [[-3, -3], [0, 0
], [-2, -2], [11, 11], [0, 0]]]], [[2, 8, 5, 2, 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, 5, 2, 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,
5, 2, 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]]]], [[3, 2, 3, 3, 1], [And(-2^(1/2) < v,v < -1), u = v, And(-1 <
x,x < 1), And(-1-x < y,y < x+1), z < -1], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [0, 0], [-2,
-2]]]], [[3, 2, 3, 3, 2], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 1),
And(-1-x < y,y < x+1), z = -1], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [0, 0], [-1, -1]]]], [
[3, 2, 3, 3, 3], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 1), And(-1-x
< y,y < x+1), And(-1 < z,z < 1)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [0, 0], [0, 0]]]], [[
3, 2, 3, 3, 4], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 1), And(-1-x
< y,y < x+1), z = 1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-1265743/1048576, -1265743/1048576], [0, 0], [0, 0], [1, 1]]]], [[3, 2, 3, 3,
5], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 1), And(-1-x < y,y < x+1)
, 1 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [0, 0], [0, 0], [2, 2]]]], [[4, 3, 2, 1, 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], [-2, -2], [-2, -2]]]], [[4, 3, 2, 1, 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], [-2, -2], [-1/2, -1/2]]]], [[4, 3, 2, 1, 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], [-2, -2], [0, 0]]]], [[4, 3, 2, 1, 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], [-2, -2], [1/2, 1/2]]]], [[4, 3, 2, 1, 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], [-2, -2], [2, 2]]]], [[4, 7, 7, 2, 1], [v = -1, 1 < u, 1 < x, y = -u^2-x,
z < -u], [regular_chain, [[-1, -1], [2, 2], [2, 2], [-6, -6], [-3, -3]]]], [[4
, 7, 7, 2, 2], [v = -1, 1 < u, 1 < x, y = -u^2-x, z = -u], [regular_chain, [[-\
1, -1], [2, 2], [2, 2], [-6, -6], [-2, -2]]]], [[4, 7, 7, 2, 3], [v = -1, 1 <
u, 1 < x, y = -u^2-x, And(-u < z,z < u)], [regular_chain, [[-1, -1], [2, 2], [
2, 2], [-6, -6], [0, 0]]]], [[4, 7, 7, 2, 4], [v = -1, 1 < u, 1 < x, y = -u^2-
x, z = u], [regular_chain, [[-1, -1], [2, 2], [2, 2], [-6, -6], [2, 2]]]], [[4
, 7, 7, 2, 5], [v = -1, 1 < u, 1 < x, y = -u^2-x, u < z], [regular_chain, [[-1
, -1], [2, 2], [2, 2], [-6, -6], [3, 3]]]], [[8, 2, 5, 4, 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, 2, 5, 4, 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, 2, 5, 4, 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, 2, 5, 4, 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, 2, 5, 4, 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, 7, 5, 5, 1], [v = 1, 1 < u,
And(-1 < x,x < 1), u^2+x < y, z < -u], [regular_chain, [[1, 1], [2, 2], [0, 0]
, [5, 5], [-3, -3]]]], [[8, 7, 5, 5, 2], [v = 1, 1 < u, And(-1 < x,x < 1), u^2
+x < y, z = -u], [regular_chain, [[1, 1], [2, 2], [0, 0], [5, 5], [-2, -2]]]],
[[8, 7, 5, 5, 3], [v = 1, 1 < u, And(-1 < x,x < 1), u^2+x < y, And(-u < z,z <
u)], [regular_chain, [[1, 1], [2, 2], [0, 0], [5, 5], [0, 0]]]], [[8, 7, 5, 5,
4], [v = 1, 1 < u, And(-1 < x,x < 1), u^2+x < y, z = u], [regular_chain, [[1,
1], [2, 2], [0, 0], [5, 5], [2, 2]]]], [[8, 7, 5, 5, 5], [v = 1, 1 < u, And(-1
< x,x < 1), u^2+x < y, u < z], [regular_chain, [[1, 1], [2, 2], [0, 0], [5, 5]
, [3, 3]]]], [[10, 8, 4, 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, 4, 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, 4, 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]]]], [[11, 2, 2, 3, 1], [2^(1/2) < v, u = -v, x = -1, 0 < y, z < -1], [
regular_chain, [[3, 3], [-3, -3], [-1, -1], [1, 1], [-2, -2]]]], [[11, 2, 2, 3
, 2], [2^(1/2) < v, u = -v, x = -1, 0 < y, z = -1], [regular_chain, [[3, 3], [
-3, -3], [-1, -1], [1, 1], [-1, -1]]]], [[11, 2, 2, 3, 3], [2^(1/2) < v, u = -
v, x = -1, 0 < y, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [-3, -3], [-1,
-1], [1, 1], [0, 0]]]], [[11, 2, 2, 3, 4], [2^(1/2) < v, u = -v, x = -1, 0 < y
, z = 1], [regular_chain, [[3, 3], [-3, -3], [-1, -1], [1, 1], [1, 1]]]], [[11
, 2, 2, 3, 5], [2^(1/2) < v, u = -v, x = -1, 0 < y, 1 < z], [regular_chain, [[
3, 3], [-3, -3], [-1, -1], [1, 1], [2, 2]]]], [[1, 9, 5, 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), u^2-v^2+x
+1 < y, z = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [
1581613/2097152, 1581613/2097152], [2, 2], [0, 0]]]], [[2, 1, 4, 1, 1], [v = -
2^(1/2), u < v, x = -1, y < -u^2+2, z < -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [-8, -8], [-4, -4]]]], [
[2, 1, 4, 1, 2], [v = -2^(1/2), u < v, x = -1, y < -u^2+2, z = -(u^2-1)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [-8
, -8], [-2965821/1048576, -11863283/4194304]]]], [[2, 1, 4, 1, 3], [v = -2^(1/
2), 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], [-3, -3], [-1, -1], [-8, -\
8], [-3/8388608, -3/8388608]]]], [[2, 1, 4, 1, 4], [v = -2^(1/2), u < v, x = -\
1, y < -u^2+2, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [-3, -3], [-1, -1], [-8, -8], [741455/262144, 2965821/1048576]]]], [
[2, 1, 4, 1, 5], [v = -2^(1/2), u < v, x = -1, y < -u^2+2, (u^2-1)^(1/2) < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [-8,
-8], [4, 4]]]], [[3, 4, 7, 1, 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], [-3, -3], [-1, -1]]]], [[3, 4,
7, 1, 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], [-3, -3], [0, 0]]]], [[3, 4, 7, 1, 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]
, [-3, -3], [1, 1]]]], [[3, 9, 5, 2, 1], [And(-2^(1/2) < v,v < -1), -v < u, 
And(-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], [0, 0], [-4478937/524288, -\
8957873/1048576], [-4, -4]]]], [[3, 9, 5, 2, 2], [And(-2^(1/2) < v,v < -1), -v
< u, And(-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], [0, 0], [-\
4478937/524288, -8957873/1048576], [-1532401/524288, -24518415/8388608]]]], [[
3, 9, 5, 2, 3], [And(-2^(1/2) < v,v < -1), -v < u, And(-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], [0, 0], [-4478937/524288, -\
8957873/1048576], [-7/16777216, -7/16777216]]]], [[3, 9, 5, 2, 4], [And(-2^(1/
2) < v,v < -1), -v < u, And(-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], [0, 0],
[-4478937/524288, -8957873/1048576], [3064801/1048576, 1532401/524288]]]], [[3
, 9, 5, 2, 5], [And(-2^(1/2) < v,v < -1), -v < u, And(-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], [0, 0], [-4478937/524288, -8957873/1048576], [4, 4]]]], [[5,
3, 3, 5, 1], [And(-1 < v,v < 0), And(v < u,u < -v), And(-1 < x,x < -u^2+v^2-1)
, -u^2+v^2-x-1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0
, 0], [-7/8, -7/8], [2, 2], [-2, -2]]]], [[5, 3, 3, 5, 2], [And(-1 < v,v < 0),
And(v < u,u < -v), And(-1 < x,x < -u^2+v^2-1), -u^2+v^2-x-1 < y, z = -(u^2-v^2
+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [2, 2], [-\
1816187/2097152, -3632373/4194304]]]], [[5, 3, 3, 5, 3], [And(-1 < v,v < 0), 
And(v < u,u < -v), And(-1 < x,x < -u^2+v^2-1), -u^2+v^2-x-1 < y, 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], [2, 2], [-1/8388608, -1/8388608]]]], [[5, 3, 3, 5, 4], [And(-1 <
v,v < 0), And(v < u,u < -v), And(-1 < x,x < -u^2+v^2-1), -u^2+v^2-x-1 < y, z =
(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [2, 2
], [908093/1048576, 454047/524288]]]], [[5, 3, 3, 5, 5], [And(-1 < v,v < 0), 
And(v < u,u < -v), And(-1 < x,x < -u^2+v^2-1), -u^2+v^2-x-1 < y, (u^2-v^2+1)^(
1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [2, 2], [2, 2]
]]], [[6, 3, 4, 3, 1], [v = 0, 0 < u, x = -1, And(-u^2 < y,y < u^2), z < -(u^2
+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-1, -1], [0, 0], [-3, -3]]]], [[
6, 3, 4, 3, 2], [v = 0, 0 < u, x = -1, And(-u^2 < y,y < u^2), z = -(u^2+1)^(1/
2)], [regular_chain, [[0, 0], [1, 1], [-1, -1], [0, 0], [-1482911/1048576, -\
741455/524288]]]], [[6, 3, 4, 3, 3], [v = 0, 0 < u, x = -1, And(-u^2 < y,y < u
^2), And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [1,
1], [-1, -1], [0, 0], [0, 0]]]], [[6, 3, 4, 3, 4], [v = 0, 0 < u, x = -1, And(
-u^2 < y,y < u^2), z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-1, -\
1], [0, 0], [741455/524288, 1482911/1048576]]]], [[6, 3, 4, 3, 5], [v = 0, 0 <
u, x = -1, And(-u^2 < y,y < u^2), (u^2+1)^(1/2) < z], [regular_chain, [[0, 0],
[1, 1], [-1, -1], [0, 0], [3, 3]]]], [[9, 3, 2, 3, 1], [And(1 < v,v < 2^(1/2))
, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < -u^2+v^2), z < -
(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1, -1], [0, 0], [-2, -2]]]], [[9, 3, 2,
3, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1, And(u^
2-v^2 < y,y < -u^2+v^2), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [0,
0], [-1374407/2097152, -687203/1048576]]]], [[9, 3, 2, 3, 3], [And(1 < v,v < 2
^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < -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], [0, 0], [0, 0]]]], [[9, 3, 2, 3, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,
u < -(v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < -u^2+v^2), z = (u^2-v^2+1)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304,
-3949363/4194304], [-1, -1], [0, 0], [687203/1048576, 171801/262144]]]], [[9,
3, 2, 3, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1,
And(u^2-v^2 < y,y < -u^2+v^2), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1,
-1], [0, 0], [2, 2]]]], [[9, 7, 5, 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], [598205/2097152, 598205/2097152], [749473/1048576, 374737/
524288], [-2, -2]]]], [[9, 7, 5, 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], [598205/2097152, 598205/2097152], [749473/1048576, 374737/
524288], [-1374407/2097152, -687203/1048576]]]], [[9, 7, 5, 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], [598205
/2097152, 598205/2097152], [749473/1048576, 374737/524288], [0, 0]]]], [[9, 7,
5, 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], [598205/
2097152, 598205/2097152], [749473/1048576, 374737/524288], [687203/1048576, 
171801/262144]]]], [[9, 7, 5, 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], [598205/2097152, 598205/2097152], [749473/1048576, 374737/
524288], [2, 2]]]], [[10, 1, 2, 3, 1], [v = 2^(1/2), u < -v, x = -u^2+1, 0 < y
, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3,
-3], [-8, -8], [1, 1], [-4, -4]]]], [[10, 1, 2, 3, 2], [v = 2^(1/2), u < -v, x
= -u^2+1, 0 < y, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [-3, -3], [-8, -8], [1, 1], [-2965821/1048576, -11863283/4194304]]]
], [[10, 1, 2, 3, 3], [v = 2^(1/2), u < -v, x = -u^2+1, 0 < y, And(-(u^2-1)^(1
/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576]
, [-3, -3], [-8, -8], [1, 1], [-3/8388608, -3/8388608]]]], [[10, 1, 2, 3, 4],
[v = 2^(1/2), u < -v, x = -u^2+1, 0 < y, z = (u^2-1)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [-3, -3], [-8, -8], [1, 1], [741455/262144,
2965821/1048576]]]], [[10, 1, 2, 3, 5], [v = 2^(1/2), u < -v, x = -u^2+1, 0 <
y, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-3,
-3], [-8, -8], [1, 1], [4, 4]]]], [[10, 5, 7, 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]]]], [[11, 9, 6, 1, 1], [2^(
1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y < -u^2+v^2-2, z =
z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1, 1], [-2, -2
], [0, 0]]]], [[1, 2, 1, 5, 1], [v < -2^(1/2), u = v, x < -1, -1-x < y, z < -1
], [regular_chain, [[-3, -3], [-3, -3], [-2, -2], [2, 2], [-2, -2]]]], [[1, 2,
1, 5, 2], [v < -2^(1/2), u = v, x < -1, -1-x < y, z = -1], [regular_chain, [[-\
3, -3], [-3, -3], [-2, -2], [2, 2], [-1, -1]]]], [[1, 2, 1, 5, 3], [v < -2^(1/
2), u = v, x < -1, -1-x < y, And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [-\
3, -3], [-2, -2], [2, 2], [0, 0]]]], [[1, 2, 1, 5, 4], [v < -2^(1/2), u = v, x
< -1, -1-x < y, z = 1], [regular_chain, [[-3, -3], [-3, -3], [-2, -2], [2, 2],
[1, 1]]]], [[1, 2, 1, 5, 5], [v < -2^(1/2), u = v, x < -1, -1-x < y, 1 < z], [
regular_chain, [[-3, -3], [-3, -3], [-2, -2], [2, 2], [2, 2]]]], [[1, 7, 1, 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+x+1, z = z], [regular_chain, [[-3, -3], [0, 0], [-2, -2], [-10, -10], [0,
0]]]], [[2, 8, 5, 5, 1], [v = -2^(1/2), u = 1, And(0 < x,x < 1), x < y, z < 0]
, [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [1/2, 1/2], [2,
2], [-1, -1]]]], [[2, 8, 5, 5, 2], [v = -2^(1/2), u = 1, And(0 < x,x < 1), x <
y, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [1/2,
1/2], [2, 2], [0, 0]]]], [[2, 8, 5, 5, 3], [v = -2^(1/2), u = 1, And(0 < x,x <
1), x < y, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1]
, [1/2, 1/2], [2, 2], [1, 1]]]], [[3, 2, 3, 2, 1], [And(-2^(1/2) < v,v < -1),
u = v, And(-1 < x,x < 1), y = -1-x, z < -1], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [-1,
-1], [-2, -2]]]], [[3, 2, 3, 2, 2], [And(-2^(1/2) < v,v < -1), u = v, And(-1 <
x,x < 1), y = -1-x, z = -1], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [-1, -1]]]],
[[3, 2, 3, 2, 3], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 1), y = -1-
x, And(-1 < z,z < 1)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [0, 0]]]], [[3, 2, 3,
2, 4], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 1), y = -1-x, z = 1],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-1, -1], [1, 1]]]], [[3, 2, 3, 2, 5], [And(-2^(1/2)
< v,v < -1), u = v, And(-1 < x,x < 1), y = -1-x, 1 < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [0,
0], [-1, -1], [2, 2]]]], [[4, 3, 2, 2, 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, 3, 2, 2, 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, 3, 2, 2, 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, 3, 2, 2, 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, 3, 2, 2, 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, 7, 6, 4, 1], [v = -1, 1 < u, x = 1, y = u^2+1, z < -u], [
regular_chain, [[-1, -1], [2, 2], [1, 1], [5, 5], [-3, -3]]]], [[4, 7, 6, 4, 2
], [v = -1, 1 < u, x = 1, y = u^2+1, z = -u], [regular_chain, [[-1, -1], [2, 2
], [1, 1], [5, 5], [-2, -2]]]], [[4, 7, 6, 4, 3], [v = -1, 1 < u, x = 1, y = u
^2+1, And(-u < z,z < u)], [regular_chain, [[-1, -1], [2, 2], [1, 1], [5, 5], [
0, 0]]]], [[4, 7, 6, 4, 4], [v = -1, 1 < u, x = 1, y = u^2+1, z = u], [
regular_chain, [[-1, -1], [2, 2], [1, 1], [5, 5], [2, 2]]]], [[4, 7, 6, 4, 5],
[v = -1, 1 < u, x = 1, y = u^2+1, u < z], [regular_chain, [[-1, -1], [2, 2], [
1, 1], [5, 5], [3, 3]]]], [[8, 3, 1, 2, 1], [v = 1, And(-1 < u,u < 0), x < -1,
y = u^2+x, z < u], [regular_chain, [[1, 1], [-1/2, -1/2], [-2, -2], [-7/4, -7/
4], [-2, -2]]]], [[8, 3, 1, 2, 2], [v = 1, And(-1 < u,u < 0), x < -1, y = u^2+
x, z = u], [regular_chain, [[1, 1], [-1/2, -1/2], [-2, -2], [-7/4, -7/4], [-1/
2, -1/2]]]], [[8, 3, 1, 2, 3], [v = 1, And(-1 < u,u < 0), x < -1, y = u^2+x, 
And(u < z,z < -u)], [regular_chain, [[1, 1], [-1/2, -1/2], [-2, -2], [-7/4, -7
/4], [0, 0]]]], [[8, 3, 1, 2, 4], [v = 1, And(-1 < u,u < 0), x < -1, y = u^2+x
, z = -u], [regular_chain, [[1, 1], [-1/2, -1/2], [-2, -2], [-7/4, -7/4], [1/2
, 1/2]]]], [[8, 3, 1, 2, 5], [v = 1, And(-1 < u,u < 0), x < -1, y = u^2+x, -u
< z], [regular_chain, [[1, 1], [-1/2, -1/2], [-2, -2], [-7/4, -7/4], [2, 2]]]]
, [[8, 7, 5, 4, 1], [v = 1, 1 < u, And(-1 < x,x < 1), y = u^2+x, z < -u], [
regular_chain, [[1, 1], [2, 2], [0, 0], [4, 4], [-3, -3]]]], [[8, 7, 5, 4, 2],
[v = 1, 1 < u, And(-1 < x,x < 1), y = u^2+x, z = -u], [regular_chain, [[1, 1],
[2, 2], [0, 0], [4, 4], [-2, -2]]]], [[8, 7, 5, 4, 3], [v = 1, 1 < u, And(-1 <
x,x < 1), y = u^2+x, And(-u < z,z < u)], [regular_chain, [[1, 1], [2, 2], [0,
0], [4, 4], [0, 0]]]], [[8, 7, 5, 4, 4], [v = 1, 1 < u, And(-1 < x,x < 1), y =
u^2+x, z = u], [regular_chain, [[1, 1], [2, 2], [0, 0], [4, 4], [2, 2]]]], [[8
, 7, 5, 4, 5], [v = 1, 1 < u, And(-1 < x,x < 1), y = u^2+x, u < z], [
regular_chain, [[1, 1], [2, 2], [0, 0], [4, 4], [3, 3]]]], [[10, 8, 4, 3, 1],
[v = 2^(1/2), u = 1, x = 0, 0 < y, z < 0], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [0, 0], [1, 1], [-1, -1]]]], [[10, 8, 4, 3, 2], [v =
2^(1/2), u = 1, x = 0, 0 < y, z = 0], [regular_chain, [[741455/524288, 1482911
/1048576], [1, 1], [0, 0], [1, 1], [0, 0]]]], [[10, 8, 4, 3, 3], [v = 2^(1/2),
u = 1, x = 0, 0 < y, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576]
, [1, 1], [0, 0], [1, 1], [1, 1]]]], [[11, 2, 1, 5, 1], [2^(1/2) < v, u = -v,
x < -1, -1-x < y, z < -1], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [2, 2]
, [-2, -2]]]], [[11, 2, 1, 5, 2], [2^(1/2) < v, u = -v, x < -1, -1-x < y, z =
-1], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [2, 2], [-1, -1]]]], [[11, 2
, 1, 5, 3], [2^(1/2) < v, u = -v, x < -1, -1-x < y, And(-1 < z,z < 1)], [
regular_chain, [[3, 3], [-3, -3], [-2, -2], [2, 2], [0, 0]]]], [[11, 2, 1, 5,
4], [2^(1/2) < v, u = -v, x < -1, -1-x < y, z = 1], [regular_chain, [[3, 3], [
-3, -3], [-2, -2], [2, 2], [1, 1]]]], [[11, 2, 1, 5, 5], [2^(1/2) < v, u = -v,
x < -1, -1-x < y, 1 < z], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [2, 2],
[2, 2]]]], [[1, 9, 6, 1, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^
(1/2)), x = 1, y < -u^2+v^2-2, z = z], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [1, 1], [-2, -2], [0, 0]]]], [[2, 1, 3, 3, 1], [v = -
2^(1/2), u < v, And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < u^2+x-1), z < -(u
^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [
-9/2, -9/2], [0, 0], [-4, -4]]]], [[2, 1, 3, 3, 2], [v = -2^(1/2), u < v, And(
-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < u^2+x-1), z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9/2, -9/2], [0
, 0], [-2965821/1048576, -11863283/4194304]]]], [[2, 1, 3, 3, 3], [v = -2^(1/2
), u < v, And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,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], [0, 0], [-3/8388608, -3/8388608]]]], [[2, 1,
3, 3, 4], [v = -2^(1/2), u < v, And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < u
^2+x-1), z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [-9/2, -9/2], [0, 0], [741455/262144, 2965821/1048576]]]],
[[2, 1, 3, 3, 5], [v = -2^(1/2), u < v, And(-u^2+1 < x,x < -1), And(-u^2-x+1 <
y,y < u^2+x-1), (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [-9/2, -9/2], [0, 0], [4, 4]]]], [[3, 4, 7, 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, 4, 7, 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, 4, 7, 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]]]], [[3,
9, 5, 1, 1], [And(-2^(1/2) < v,v < -1), -v < u, And(-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], [0, 0], [-10, -10], [-4, -4]]]], [[3, 9, 5, 1, 2], [And(-2^(
1/2) < v,v < -1), -v < u, And(-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], [0, 0
], [-10, -10], [-1532401/524288, -24518415/8388608]]]], [[3, 9, 5, 1, 3], [And
(-2^(1/2) < v,v < -1), -v < u, And(-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], [0, 0], [-10, -10], [-7/16777216, -7/16777216]]]],
[[3, 9, 5, 1, 4], [And(-2^(1/2) < v,v < -1), -v < u, And(-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], [0, 0], [-10, -10], [3064801/1048576, 1532401/524288
]]]], [[3, 9, 5, 1, 5], [And(-2^(1/2) < v,v < -1), -v < u, And(-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], [0, 0], [-10, -10], [4, 4]]]], [[5, 3, 4, 1, 1], [
And(-1 < v,v < 0), And(v < u,u < -v), x = -u^2+v^2-1, y < 0, z < -(u^2-v^2+1)^
(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/4, -3/4], [-1, -1], [-2, -2
]]]], [[5, 3, 4, 1, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x = -u^2+v^2-1,
y < 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/4,
-3/4], [-1, -1], [-1816187/2097152, -3632373/4194304]]]], [[5, 3, 4, 1, 3], [
And(-1 < v,v < 0), And(v < u,u < -v), x = -u^2+v^2-1, y < 0, And(-(u^2-v^2+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, -1], [-1/8388608, -1/8388608]]]], [[5, 3, 4, 1, 4], [And(-1 < v
,v < 0), And(v < u,u < -v), x = -u^2+v^2-1, y < 0, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-3/4, -3/4], [-1, -1], [908093/1048576,
454047/524288]]]], [[5, 3, 4, 1, 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], [-1, -1], [2, 2]]]], [[6, 3, 3, 5, 1], [v = 0, 0 < u, And(
-u^2-1 < x,x < -1), u^2+x+1 < y, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0],
[1, 1], [-3/2, -3/2], [2, 2], [-3, -3]]]], [[6, 3, 3, 5, 2], [v = 0, 0 < u, 
And(-u^2-1 < x,x < -1), u^2+x+1 < y, z = -(u^2+1)^(1/2)], [regular_chain, [[0,
0], [1, 1], [-3/2, -3/2], [2, 2], [-1482911/1048576, -741455/524288]]]], [[6,
3, 3, 5, 3], [v = 0, 0 < u, And(-u^2-1 < x,x < -1), u^2+x+1 < y, And(-(u^2+1)^
(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2],
[2, 2], [0, 0]]]], [[6, 3, 3, 5, 4], [v = 0, 0 < u, And(-u^2-1 < x,x < -1), u^
2+x+1 < y, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2],
[2, 2], [741455/524288, 1482911/1048576]]]], [[6, 3, 3, 5, 5], [v = 0, 0 < u,
And(-u^2-1 < x,x < -1), u^2+x+1 < y, (u^2+1)^(1/2) < z], [regular_chain, [[0,
0], [1, 1], [-3/2, -3/2], [2, 2], [3, 3]]]], [[9, 3, 3, 1, 1], [And(1 < v,v <
2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y < u^2-
v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/
2097152], [-2, -2], [-2, -2]]]], [[9, 3, 3, 1, 2], [And(1 < v,v < 2^(1/2)), 
And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2+x+1, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/2097152], [-2,
-2], [-1374407/2097152, -687203/1048576]]]], [[9, 3, 3, 1, 3], [And(1 < v,v <
2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y < u^2-
v^2+x+1, And(-(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], [-2, -2], [0, 0]]]], [[9, 3, 3, 1, 4], [
And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^
2-1), y < u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/
2097152, -1498947/2097152], [-2, -2], [687203/1048576, 171801/262144]]]], [[9,
3, 3, 1, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-1 <
x,x < -u^2+v^2-1), y < u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
1498947/2097152, -1498947/2097152], [-2, -2], [2, 2]]]], [[9, 7, 5, 3, 1], [
And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 1
), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [598205/2097152, 598205/2097152], [-1/4194304, -1/4194304], [-2, -2]
]]], [[9, 7, 5, 3, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v),
And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^
2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [598205/2097152, 598205/2097152], [-1/4194304, -1/
4194304], [-1374407/2097152, -687203/1048576]]]], [[9, 7, 5, 3, 3], [And(1 < v
,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 1), And(-u
^2+v^2-x-1 < y,y < u^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], [598205/2097152, 598205/2097152], [-1/4194304, -1/4194304], [
0, 0]]]], [[9, 7, 5, 3, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u <
v), And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2
-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [598205/2097152, 598205/2097152], [-1/4194304, -1/
4194304], [687203/1048576, 171801/262144]]]], [[9, 7, 5, 3, 5], [And(1 < v,v <
2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^
2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [598205/2097152,
598205/2097152], [-1/4194304, -1/4194304], [2, 2]]]], [[10, 1, 3, 1, 1], [v =
2^(1/2), 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], [-3, -3], [-9/2, -9/2], [-5,
-5], [-4, -4]]]], [[10, 1, 3, 1, 2], [v = 2^(1/2), 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], [-3, -3], [-9/2, -9/2], [-5, -5], [-2965821/1048576, -\
11863283/4194304]]]], [[10, 1, 3, 1, 3], [v = 2^(1/2), 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], [-3, -3], [-9/2, -9/2], [-5,
-5], [-3/8388608, -3/8388608]]]], [[10, 1, 3, 1, 4], [v = 2^(1/2), 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], [-3, -3], [-9/2, -9/2], [-5, -5], [741455/
262144, 2965821/1048576]]]], [[10, 1, 3, 1, 5], [v = 2^(1/2), 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], [-3, -3], [-9/2, -9/2], [-5, -5], [4, 4]]]], [[10, 5
, 7, 1, 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], [-3, -\
3], [0, 0]]]], [[11, 9, 6, 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]]]], [
[1, 2, 2, 1, 1], [v < -2^(1/2), u = v, x = -1, y < 0, z < -1], [regular_chain,
[[-3, -3], [-3, -3], [-1, -1], [-1, -1], [-2, -2]]]], [[1, 2, 2, 1, 2], [v < -
2^(1/2), u = v, x = -1, y < 0, z = -1], [regular_chain, [[-3, -3], [-3, -3], [
-1, -1], [-1, -1], [-1, -1]]]], [[1, 2, 2, 1, 3], [v < -2^(1/2), u = v, x = -1
, y < 0, And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [-3, -3], [-1, -1], [-\
1, -1], [0, 0]]]], [[1, 2, 2, 1, 4], [v < -2^(1/2), u = v, x = -1, y < 0, z =
1], [regular_chain, [[-3, -3], [-3, -3], [-1, -1], [-1, -1], [1, 1]]]], [[1, 2
, 2, 1, 5], [v < -2^(1/2), u = v, x = -1, y < 0, 1 < z], [regular_chain, [[-3,
-3], [-3, -3], [-1, -1], [-1, -1], [2, 2]]]], [[1, 7, 1, 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+x+1 < y,y < -u^
2+v^2-x-1), z = z], [regular_chain, [[-3, -3], [0, 0], [-2, -2], [0, 0], [0, 0
]]]], [[2, 8, 5, 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, 5, 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, 5, 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]]]], [[3, 2, 3, 1, 1], [And(-2^(1/2) < v
,v < -1), u = v, And(-1 < x,x < 1), y < -1-x, z < -1], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [0,
0], [-2, -2], [-2, -2]]]], [[3, 2, 3, 1, 2], [And(-2^(1/2) < v,v < -1), u = v,
And(-1 < x,x < 1), y < -1-x, z = -1], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [-2, -2], [-1,
-1]]]], [[3, 2, 3, 1, 3], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 1),
y < -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [-2, -2], [0, 0]]]], [
[3, 2, 3, 1, 4], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 1), y < -1-x
, z = 1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [0, 0], [-2, -2], [1, 1]]]], [[3, 2, 3, 1, 5], [
And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 1), y < -1-x, 1 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-2, -2], [2, 2]]]], [[4, 3, 2, 3, 1], [v = -1, And(
-1 < u,u < 0), x = -1, And(u^2-1 < y,y < -u^2+1), z < u], [regular_chain, [[-1
, -1], [-1/2, -1/2], [-1, -1], [0, 0], [-2, -2]]]], [[4, 3, 2, 3, 2], [v = -1,
And(-1 < u,u < 0), x = -1, And(u^2-1 < y,y < -u^2+1), z = u], [regular_chain,
[[-1, -1], [-1/2, -1/2], [-1, -1], [0, 0], [-1/2, -1/2]]]], [[4, 3, 2, 3, 3],
[v = -1, And(-1 < u,u < 0), x = -1, And(u^2-1 < y,y < -u^2+1), And(u < z,z < -
u)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [0, 0], [0, 0]]]], [[4
, 3, 2, 3, 4], [v = -1, And(-1 < u,u < 0), x = -1, And(u^2-1 < y,y < -u^2+1),
z = -u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [0, 0], [1/2, 1/2]
]]], [[4, 3, 2, 3, 5], [v = -1, And(-1 < u,u < 0), x = -1, And(u^2-1 < y,y < -
u^2+1), -u < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [0, 0], [2
, 2]]]], [[4, 7, 6, 5, 1], [v = -1, 1 < u, x = 1, u^2+1 < y, z < -u], [
regular_chain, [[-1, -1], [2, 2], [1, 1], [6, 6], [-3, -3]]]], [[4, 7, 6, 5, 2
], [v = -1, 1 < u, x = 1, u^2+1 < y, z = -u], [regular_chain, [[-1, -1], [2, 2
], [1, 1], [6, 6], [-2, -2]]]], [[4, 7, 6, 5, 3], [v = -1, 1 < u, x = 1, u^2+1
< y, And(-u < z,z < u)], [regular_chain, [[-1, -1], [2, 2], [1, 1], [6, 6], [0
, 0]]]], [[4, 7, 6, 5, 4], [v = -1, 1 < u, x = 1, u^2+1 < y, z = u], [
regular_chain, [[-1, -1], [2, 2], [1, 1], [6, 6], [2, 2]]]], [[4, 7, 6, 5, 5],
[v = -1, 1 < u, x = 1, u^2+1 < y, u < z], [regular_chain, [[-1, -1], [2, 2], [
1, 1], [6, 6], [3, 3]]]], [[8, 3, 1, 1, 1], [v = 1, And(-1 < u,u < 0), x < -1,
y < u^2+x, z < u], [regular_chain, [[1, 1], [-1/2, -1/2], [-2, -2], [-3, -3],
[-2, -2]]]], [[8, 3, 1, 1, 2], [v = 1, And(-1 < u,u < 0), x < -1, y < u^2+x, z
= u], [regular_chain, [[1, 1], [-1/2, -1/2], [-2, -2], [-3, -3], [-1/2, -1/2]]
]], [[8, 3, 1, 1, 3], [v = 1, And(-1 < u,u < 0), x < -1, y < u^2+x, And(u < z,
z < -u)], [regular_chain, [[1, 1], [-1/2, -1/2], [-2, -2], [-3, -3], [0, 0]]]]
, [[8, 3, 1, 1, 4], [v = 1, And(-1 < u,u < 0), x < -1, y < u^2+x, z = -u], [
regular_chain, [[1, 1], [-1/2, -1/2], [-2, -2], [-3, -3], [1/2, 1/2]]]], [[8,
3, 1, 1, 5], [v = 1, And(-1 < u,u < 0), x < -1, y < u^2+x, -u < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [-2, -2], [-3, -3], [2, 2]]]], [[8, 7, 5
, 3, 1], [v = 1, 1 < u, And(-1 < x,x < 1), And(-u^2-x < y,y < u^2+x), z < -u],
[regular_chain, [[1, 1], [2, 2], [0, 0], [0, 0], [-3, -3]]]], [[8, 7, 5, 3, 2]
, [v = 1, 1 < u, And(-1 < x,x < 1), And(-u^2-x < y,y < u^2+x), z = -u], [
regular_chain, [[1, 1], [2, 2], [0, 0], [0, 0], [-2, -2]]]], [[8, 7, 5, 3, 3],
[v = 1, 1 < u, And(-1 < x,x < 1), And(-u^2-x < y,y < u^2+x), And(-u < z,z < u)
], [regular_chain, [[1, 1], [2, 2], [0, 0], [0, 0], [0, 0]]]], [[8, 7, 5, 3, 4
], [v = 1, 1 < u, And(-1 < x,x < 1), And(-u^2-x < y,y < u^2+x), z = u], [
regular_chain, [[1, 1], [2, 2], [0, 0], [0, 0], [2, 2]]]], [[8, 7, 5, 3, 5], [
v = 1, 1 < u, And(-1 < x,x < 1), And(-u^2-x < y,y < u^2+x), u < z], [
regular_chain, [[1, 1], [2, 2], [0, 0], [0, 0], [3, 3]]]], [[10, 8, 5, 1, 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], [-2, -2], [-1, -1]]]], [[
10, 8, 5, 1, 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], [-2, -2]
, [0, 0]]]], [[10, 8, 5, 1, 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],
[-2, -2], [1, 1]]]], [[11, 2, 2, 1, 1], [2^(1/2) < v, u = -v, x = -1, y < 0, z
< -1], [regular_chain, [[3, 3], [-3, -3], [-1, -1], [-1, -1], [-2, -2]]]], [[
11, 2, 2, 1, 2], [2^(1/2) < v, u = -v, x = -1, y < 0, z = -1], [regular_chain,
[[3, 3], [-3, -3], [-1, -1], [-1, -1], [-1, -1]]]], [[11, 2, 2, 1, 3], [2^(1/2
) < v, u = -v, x = -1, y < 0, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [-3
, -3], [-1, -1], [-1, -1], [0, 0]]]], [[11, 2, 2, 1, 4], [2^(1/2) < v, u = -v,
x = -1, y < 0, z = 1], [regular_chain, [[3, 3], [-3, -3], [-1, -1], [-1, -1],
[1, 1]]]], [[11, 2, 2, 1, 5], [2^(1/2) < v, u = -v, x = -1, y < 0, 1 < z], [
regular_chain, [[3, 3], [-3, -3], [-1, -1], [-1, -1], [2, 2]]]], [[1, 9, 6, 2,
1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y = -u^2+v
^2-2, z = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1,
1], [-128885/262144, -515539/1048576], [0, 0]]]], [[2, 1, 3, 4, 1], [v = -2^(1
/2), 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], [-3, -3], [-9/2, -9/2], [7
/2, 7/2], [-4, -4]]]], [[2, 1, 3, 4, 2], [v = -2^(1/2), 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], [-3, -3], [-9/2, -9/2], [7/2, 7/2], [-2965821/1048576, -\
11863283/4194304]]]], [[2, 1, 3, 4, 3], [v = -2^(1/2), 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], [-3, -3], [-9/2, -9/2], [7/2, 7/2], [-3
/8388608, -3/8388608]]]], [[2, 1, 3, 4, 4], [v = -2^(1/2), 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], [-3, -3], [-9/2, -9/2], [7/2, 7/2], [741455/262144, 2965821
/1048576]]]], [[2, 1, 3, 4, 5], [v = -2^(1/2), 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], [-3, -3], [-9/2, -9/2], [7/2, 7/2], [4, 4]]]], [[3, 4, 7, 3, 1], [And
(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), 1 < x, And(-x < y,y < x), z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [2, 2], [0, 0], [-1, -1]]]], [[3, 4, 7, 3, 2], [And(-2^(1/2) <
v,v < -1), u = -(v^2-1)^(1/2), 1 < x, And(-x < y,y < x), z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [2, 2], [0, 0], [0, 0]]]], [[3, 4, 7, 3, 3], [And(-2^(1/2) < v
,v < -1), u = -(v^2-1)^(1/2), 1 < x, And(-x < y,y < x), 0 < z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [
2, 2], [0, 0], [1, 1]]]], [[3, 9, 4, 5, 1], [And(-2^(1/2) < v,v < -1), -v < u,
x = -1, u^2-v^2 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [-1, -1], [9, 9], [-4, -4]]]], [[3, 9, 4,
5, 2], [And(-2^(1/2) < v,v < -1), -v < u, x = -1, u^2-v^2 < y, z = -(u^2-v^2+1
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1,
-1], [9, 9], [-1532401/524288, -24518415/8388608]]]], [[3, 9, 4, 5, 3], [And(-
2^(1/2) < v,v < -1), -v < u, x = -1, u^2-v^2 < y, 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], [9, 9], [-7/16777216, -7/16777216]]]], [[3, 9, 4, 5, 4], [
And(-2^(1/2) < v,v < -1), -v < u, x = -1, u^2-v^2 < y, z = (u^2-v^2+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1, -1], [9, 9
], [3064801/1048576, 1532401/524288]]]], [[3, 9, 4, 5, 5], [And(-2^(1/2) < v,v
< -1), -v < u, x = -1, u^2-v^2 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [3, 3], [-1, -1], [9, 9], [4, 4]]]], [[5,
3, 4, 2, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x = -u^2+v^2-1, y = 0, z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/4, -3/4], [0,
0], [-2, -2]]]], [[5, 3, 4, 2, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x =
-u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0,
0], [-3/4, -3/4], [0, 0], [-1816187/2097152, -3632373/4194304]]]], [[5, 3, 4,
2, 3], [And(-1 < v,v < 0), And(v < u,u < -v), x = -u^2+v^2-1, y = 0, And(-(u^2
-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [0,
0], [-3/4, -3/4], [0, 0], [-1/8388608, -1/8388608]]]], [[5, 3, 4, 2, 4], [And(
-1 < v,v < 0), And(v < u,u < -v), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)
], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/4, -3/4], [0, 0], [908093/
1048576, 454047/524288]]]], [[5, 3, 4, 2, 5], [And(-1 < v,v < 0), And(v < u,u
< -v), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2,
-1/2], [0, 0], [-3/4, -3/4], [0, 0], [2, 2]]]], [[6, 3, 4, 1, 1], [v = 0, 0 <
u, x = -1, y < -u^2, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-1
, -1], [-2, -2], [-3, -3]]]], [[6, 3, 4, 1, 2], [v = 0, 0 < u, x = -1, y < -u^
2, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-1, -1], [-2, -2], [
-1482911/1048576, -741455/524288]]]], [[6, 3, 4, 1, 3], [v = 0, 0 < u, x = -1,
y < -u^2, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0],
[1, 1], [-1, -1], [-2, -2], [0, 0]]]], [[6, 3, 4, 1, 4], [v = 0, 0 < u, x = -1
, y < -u^2, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-1, -1], [-2
, -2], [741455/524288, 1482911/1048576]]]], [[6, 3, 4, 1, 5], [v = 0, 0 < u, x
= -1, y < -u^2, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [-1, -1],
[-2, -2], [3, 3]]]], [[9, 3, 2, 5, 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 < -(u^2-v^2+1)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [
-1, -1], [2, 2], [-2, -2]]]], [[9, 3, 2, 5, 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 = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1, -1], [2, 2], [-1374407/2097152, -687203/1048576]]]], [[
9, 3, 2, 5, 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(-(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], [2, 2], [0, 0]]]], [[9, 3, 2, 5, 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 = (u^2-v^2
+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-1, -1], [2, 2], [687203/1048576, 171801/262144]]
]], [[9, 3, 2, 5, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)),
x = -1, -u^2+v^2 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [2,
2], [2, 2]]]], [[9, 7, 5, 2, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) <
u,u < v), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341
/1048576], [598205/2097152, 598205/2097152], [-374737/524288, -1498947/2097152
], [-2, -2]]]], [[9, 7, 5, 2, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) <
u,u < v), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341
/1048576], [598205/2097152, 598205/2097152], [-374737/524288, -1498947/2097152
], [-1374407/2097152, -687203/1048576]]]], [[9, 7, 5, 2, 3], [And(1 < v,v < 2^
(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-
x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [598205/
2097152, 598205/2097152], [-374737/524288, -1498947/2097152], [0, 0]]]], [[9,
7, 5, 2, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v
^2-1 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [598205/
2097152, 598205/2097152], [-374737/524288, -1498947/2097152], [687203/1048576,
171801/262144]]]], [[9, 7, 5, 2, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2
) < u,u < v), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [598205/2097152, 598205/2097152], [-374737/524288, -1498947/
2097152], [2, 2]]]], [[10, 1, 3, 2, 1], [v = 2^(1/2), 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], [-3, -3], [-9/2, -9/2], [-7/2, -7/2], [-4, -4]]]], [[10, 1,
3, 2, 2], [v = 2^(1/2), 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], [-3, -3], [-9/
2, -9/2], [-7/2, -7/2], [-2965821/1048576, -11863283/4194304]]]], [[10, 1, 3,
2, 3], [v = 2^(1/2), 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], [-3, -3], [-9/2, -9/2], [-7/2, -7/2], [-3/8388608, -3/8388608]]]], [
[10, 1, 3, 2, 4], [v = 2^(1/2), 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], [-3, -3
], [-9/2, -9/2], [-7/2, -7/2], [741455/262144, 2965821/1048576]]]], [[10, 1, 3
, 2, 5], [v = 2^(1/2), 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], [-3, -3], [-9/2,
-9/2], [-7/2, -7/2], [4, 4]]]], [[10, 5, 7, 2, 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]]]], [[11, 9, 6, 3, 1], [2
^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, And(-u^2+v^2-2 <
y,y < u^2-v^2+2), z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [1, 1], [0, 0], [0, 0]]]], [[1, 9, 6, 3, 1], [v < -2^(1/2), And((v^2-\
2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z =
z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1, 1], [0, 0
], [0, 0]]]], [[2, 1, 4, 4, 1], [v = -2^(1/2), u < v, 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, 4, 2], [v = -2^(1/2), u < v, 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, 4, 3], [v = -2^(1/2), 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],
[-3, -3], [-1, -1], [7, 7], [-3/8388608, -3/8388608]]]], [[2, 1, 4, 4, 4], [v
= -2^(1/2), u < v, 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, 4, 5], [v = -2^(1/2), u < v, 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, 5, 1, 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+x+1, z = z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-2, -2], [-4,
-4], [0, 0]]]], [[3, 9, 6, 2, 1], [And(-2^(1/2) < v,v < -1), -v < u, x = 1, y
= -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [1, 1], [-20012899/2097152, -10006449/1048576], [-4,
-4]]]], [[3, 9, 6, 2, 2], [And(-2^(1/2) < v,v < -1), -v < u, x = 1, y = -u^2+v
^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [1, 1], [-20012899/2097152, -10006449/1048576], [-1532401/
524288, -24518415/8388608]]]], [[3, 9, 6, 2, 3], [And(-2^(1/2) < v,v < -1), -v
< u, x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1, 1], [-\
20012899/2097152, -10006449/1048576], [-7/16777216, -7/16777216]]]], [[3, 9, 6
, 2, 4], [And(-2^(1/2) < v,v < -1), -v < u, x = 1, y = -u^2+v^2-2, z = (u^2-v^
2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1
, 1], [-20012899/2097152, -10006449/1048576], [3064801/1048576, 1532401/524288
]]]], [[3, 9, 6, 2, 5], [And(-2^(1/2) < v,v < -1), -v < u, x = 1, y = -u^2+v^2
-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [1, 1], [-20012899/2097152, -10006449/1048576], [4, 4]]]], [
[5, 3, 4, 3, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x = -u^2+v^2-1, 0 < y,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/4, -3/4],
[1, 1], [-2, -2]]]], [[5, 3, 4, 3, 2], [And(-1 < v,v < 0), And(v < u,u < -v),
x = -u^2+v^2-1, 0 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[0, 0], [-3/4, -3/4], [1, 1], [-1816187/2097152, -3632373/4194304]]]], [[5, 3,
4, 3, 3], [And(-1 < v,v < 0), And(v < u,u < -v), x = -u^2+v^2-1, 0 < y, 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, 1], [-1/8388608, -1/8388608]]]], [[5, 3, 4, 3, 4], [
And(-1 < v,v < 0), And(v < u,u < -v), x = -u^2+v^2-1, 0 < y, z = (u^2-v^2+1)^(
1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/4, -3/4], [1, 1], [908093/
1048576, 454047/524288]]]], [[5, 3, 4, 3, 5], [And(-1 < v,v < 0), And(v < u,u
< -v), x = -u^2+v^2-1, 0 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2,
-1/2], [0, 0], [-3/4, -3/4], [1, 1], [2, 2]]]], [[6, 3, 5, 1, 1], [v = 0, 0 <
u, And(-1 < x,x < 1), y < -u^2-x-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0,
0], [1, 1], [0, 0], [-3, -3], [-3, -3]]]], [[6, 3, 5, 1, 2], [v = 0, 0 < u, 
And(-1 < x,x < 1), y < -u^2-x-1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0],
[1, 1], [0, 0], [-3, -3], [-1482911/1048576, -741455/524288]]]], [[6, 3, 5, 1,
3], [v = 0, 0 < u, And(-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, 1], [0, 0], [-3, -3], [0, 0]]]],
[[6, 3, 5, 1, 4], [v = 0, 0 < u, And(-1 < x,x < 1), y < -u^2-x-1, z = (u^2+1)^
(1/2)], [regular_chain, [[0, 0], [1, 1], [0, 0], [-3, -3], [741455/524288, 
1482911/1048576]]]], [[6, 3, 5, 1, 5], [v = 0, 0 < u, And(-1 < x,x < 1), y < -
u^2-x-1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [0, 0], [-3, -3]
, [3, 3]]]], [[9, 3, 3, 3, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1
)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -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], [0,
0], [-2, -2]]]], [[9, 3, 3, 3, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v
^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -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],
[0, 0], [-1374407/2097152, -687203/1048576]]]], [[9, 3, 3, 3, 3], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(u^
2-v^2+x+1 < y,y < -u^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], [0, 0], [0, 0]]]], [[
9, 3, 3, 3, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-\
1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -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], [0, 0], [687203/
1048576, 171801/262144]]]], [[9, 3, 3, 3, 5], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -
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], [0, 0], [2, 2]]]], [[9, 7, 6, 4, 1], [And(1 < v,v < 2^(1/2))
, And((v^2-1)^(1/2) < u,u < v), x = 1, y = u^2-v^2+2, z < -(u^2-v^2+1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [1, 1], [1498947/1048576, 374737/262144], [-2, -2]]]], [[9, 7, 6, 4,
2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 1, y = u^2-v^2+
2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [987341/1048576, 987341/1048576], [1, 1], [1498947/1048576, 374737/262144],
[-1374407/2097152, -687203/1048576]]]], [[9, 7, 6, 4, 3], [And(1 < v,v < 2^(1/
2)), And((v^2-1)^(1/2) < u,u < v), x = 1, y = u^2-v^2+2, And(-(u^2-v^2+1)^(1/2
) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [1, 1], [1498947/1048576, 374737/
262144], [0, 0]]]], [[9, 7, 6, 4, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/
2) < u,u < v), x = 1, y = u^2-v^2+2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [1, 1],
[1498947/1048576, 374737/262144], [687203/1048576, 171801/262144]]]], [[9, 7,
6, 4, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 1, y = u^
2-v^2+2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [1, 1], [1498947/1048576, 374737/
262144], [2, 2]]]], [[10, 1, 1, 3, 1], [v = 2^(1/2), u < -v, x < -u^2+1, And(u
^2+x-1 < y,y < -u^2-x+1), z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [-3, -3], [-9, -9], [0, 0], [-4, -4]]]], [[10, 1, 1, 3, 2]
, [v = 2^(1/2), u < -v, x < -u^2+1, And(u^2+x-1 < y,y < -u^2-x+1), z = -(u^2-1
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9, -9
], [0, 0], [-2965821/1048576, -11863283/4194304]]]], [[10, 1, 1, 3, 3], [v = 2
^(1/2), u < -v, x < -u^2+1, And(u^2+x-1 < y,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], [0, 0], [-3/8388608, -3/8388608]]]], [[10, 1, 1, 3, 4], [v =
2^(1/2), u < -v, x < -u^2+1, And(u^2+x-1 < y,y < -u^2-x+1), z = (u^2-1)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9, -9], [0, 0
], [741455/262144, 2965821/1048576]]]], [[10, 1, 1, 3, 5], [v = 2^(1/2), u < -
v, x < -u^2+1, And(u^2+x-1 < y,y < -u^2-x+1), (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9, -9], [0, 0],
[4, 4]]]], [[10, 5, 6, 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]]]], [[11, 9, 5, 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 < u^2-
v^2+x+1), z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [
1581613/2097152, 1581613/2097152], [0, 0], [0, 0]]]], [[1, 1, 7, 4, 1], [v < -
2^(1/2), u < v, 1 < x, y = u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-4, -4], [2, 2], [10, 10], [-4, -4]]]], [[1, 1, 7,
4, 2], [v < -2^(1/2), u < v, 1 < x, y = u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)],
[regular_chain, [[-3, -3], [-4, -4], [2, 2], [10, 10], [-2965821/1048576, -\
11863283/4194304]]]], [[1, 1, 7, 4, 3], [v < -2^(1/2), 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], [-4, -4], [2, 2], [10, 10], [-3/8388608, -3/8388608]]]], [[1, 1, 7, 4
, 4], [v < -2^(1/2), u < v, 1 < x, y = u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-4, -4], [2, 2], [10, 10], [741455/262144, 2965821/
1048576]]]], [[1, 1, 7, 4, 5], [v < -2^(1/2), u < v, 1 < x, y = u^2-v^2+x+1, (
u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-4, -4], [2, 2], [10, 10],
[4, 4]]]], [[1, 6, 5, 5, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), 1 < x, x-1 < y
, z = z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [2,
2], [2, 2], [0, 0]]]], [[2, 8, 4, 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, 4, 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, 4, 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]]]], [[3, 2, 2, 3, 1], [And(-2^(1/2) < v,v < -1), u = v, x = -1, 0 < y, z
< -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [-1, -1], [1, 1], [-2, -2]]]], [[3, 2, 2, 3, 2], [
And(-2^(1/2) < v,v < -1), u = v, x = -1, 0 < y, z = -1], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1,
-1], [1, 1], [-1, -1]]]], [[3, 2, 2, 3, 3], [And(-2^(1/2) < v,v < -1), u = v,
x = -1, 0 < y, And(-1 < z,z < 1)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [1, 1], [0,
0]]]], [[3, 2, 2, 3, 4], [And(-2^(1/2) < v,v < -1), u = v, x = -1, 0 < y, z =
1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576,
-1265743/1048576], [-1, -1], [1, 1], [1, 1]]]], [[3, 2, 2, 3, 5], [And(-2^(1/2
) < v,v < -1), u = v, x = -1, 0 < y, 1 < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [1
, 1], [2, 2]]]], [[4, 3, 1, 1, 1], [v = -1, And(-1 < u,u < 0), x < -1, y < u^2
+x, z < u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-2, -2], [-3, -3], [-2,
-2]]]], [[4, 3, 1, 1, 2], [v = -1, And(-1 < u,u < 0), x < -1, y < u^2+x, z = u
], [regular_chain, [[-1, -1], [-1/2, -1/2], [-2, -2], [-3, -3], [-1/2, -1/2]]]
], [[4, 3, 1, 1, 3], [v = -1, And(-1 < u,u < 0), x < -1, y < u^2+x, And(u < z,
z < -u)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-2, -2], [-3, -3], [0, 0]]
]], [[4, 3, 1, 1, 4], [v = -1, And(-1 < u,u < 0), x < -1, y < u^2+x, z = -u],
[regular_chain, [[-1, -1], [-1/2, -1/2], [-2, -2], [-3, -3], [1/2, 1/2]]]], [[
4, 3, 1, 1, 5], [v = -1, And(-1 < u,u < 0), x < -1, y < u^2+x, -u < z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-2, -2], [-3, -3], [2, 2]]]], [[4, 7,
6, 2, 1], [v = -1, 1 < u, x = 1, y = -u^2-1, z < -u], [regular_chain, [[-1, -1
], [2, 2], [1, 1], [-5, -5], [-3, -3]]]], [[4, 7, 6, 2, 2], [v = -1, 1 < u, x
= 1, y = -u^2-1, z = -u], [regular_chain, [[-1, -1], [2, 2], [1, 1], [-5, -5],
[-2, -2]]]], [[4, 7, 6, 2, 3], [v = -1, 1 < u, x = 1, y = -u^2-1, And(-u < z,z
< u)], [regular_chain, [[-1, -1], [2, 2], [1, 1], [-5, -5], [0, 0]]]], [[4, 7,
6, 2, 4], [v = -1, 1 < u, x = 1, y = -u^2-1, z = u], [regular_chain, [[-1, -1]
, [2, 2], [1, 1], [-5, -5], [2, 2]]]], [[4, 7, 6, 2, 5], [v = -1, 1 < u, x = 1
, y = -u^2-1, u < z], [regular_chain, [[-1, -1], [2, 2], [1, 1], [-5, -5], [3,
3]]]], [[8, 2, 5, 1, 1], [v = 1, u = -1, 1 < x, y < -1-x, z < -1], [
regular_chain, [[1, 1], [-1, -1], [2, 2], [-4, -4], [-2, -2]]]], [[8, 2, 5, 1,
2], [v = 1, u = -1, 1 < x, y < -1-x, z = -1], [regular_chain, [[1, 1], [-1, -1
], [2, 2], [-4, -4], [-1, -1]]]], [[8, 2, 5, 1, 3], [v = 1, u = -1, 1 < x, y <
-1-x, And(-1 < z,z < 1)], [regular_chain, [[1, 1], [-1, -1], [2, 2], [-4, -4],
[0, 0]]]], [[8, 2, 5, 1, 4], [v = 1, u = -1, 1 < x, y < -1-x, z = 1], [
regular_chain, [[1, 1], [-1, -1], [2, 2], [-4, -4], [1, 1]]]], [[8, 2, 5, 1, 5
], [v = 1, u = -1, 1 < x, y < -1-x, 1 < z], [regular_chain, [[1, 1], [-1, -1],
[2, 2], [-4, -4], [2, 2]]]], [[8, 7, 5, 2, 1], [v = 1, 1 < u, And(-1 < x,x < 1
), y = -u^2-x, z < -u], [regular_chain, [[1, 1], [2, 2], [0, 0], [-4, -4], [-3
, -3]]]], [[8, 7, 5, 2, 2], [v = 1, 1 < u, And(-1 < x,x < 1), y = -u^2-x, z =
-u], [regular_chain, [[1, 1], [2, 2], [0, 0], [-4, -4], [-2, -2]]]], [[8, 7, 5
, 2, 3], [v = 1, 1 < u, And(-1 < x,x < 1), y = -u^2-x, And(-u < z,z < u)], [
regular_chain, [[1, 1], [2, 2], [0, 0], [-4, -4], [0, 0]]]], [[8, 7, 5, 2, 4],
[v = 1, 1 < u, And(-1 < x,x < 1), y = -u^2-x, z = u], [regular_chain, [[1, 1],
[2, 2], [0, 0], [-4, -4], [2, 2]]]], [[8, 7, 5, 2, 5], [v = 1, 1 < u, And(-1 <
x,x < 1), y = -u^2-x, u < z], [regular_chain, [[1, 1], [2, 2], [0, 0], [-4, -4
], [3, 3]]]], [[10, 8, 5, 2, 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, 5, 2, 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, 5, 2, 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]]]], [[11, 2, 3, 3,
1], [2^(1/2) < v, u = -v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z < -1], [
regular_chain, [[3, 3], [-3, -3], [0, 0], [0, 0], [-2, -2]]]], [[11, 2, 3, 3,
2], [2^(1/2) < v, u = -v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z = -1], [
regular_chain, [[3, 3], [-3, -3], [0, 0], [0, 0], [-1, -1]]]], [[11, 2, 3, 3,
3], [2^(1/2) < v, u = -v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), And(-1 < z
,z < 1)], [regular_chain, [[3, 3], [-3, -3], [0, 0], [0, 0], [0, 0]]]], [[11,
2, 3, 3, 4], [2^(1/2) < v, u = -v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z
= 1], [regular_chain, [[3, 3], [-3, -3], [0, 0], [0, 0], [1, 1]]]], [[11, 2, 3
, 3, 5], [2^(1/2) < v, u = -v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), 1 < z
], [regular_chain, [[3, 3], [-3, -3], [0, 0], [0, 0], [2, 2]]]], [[1, 9, 6, 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]]]], [[2, 1, 4, 5, 1], [v = -2^(1/2
), u < v, x = -1, u^2-2 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [-1, -1], [8, 8], [-4, -4]]]], [[2, 1, 4,
5, 2], [v = -2^(1/2), u < v, x = -1, u^2-2 < y, z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [8, 8]
, [-2965821/1048576, -11863283/4194304]]]], [[2, 1, 4, 5, 3], [v = -2^(1/2), u
< v, x = -1, u^2-2 < y, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [8, 8]
, [-3/8388608, -3/8388608]]]], [[2, 1, 4, 5, 4], [v = -2^(1/2), u < v, x = -1,
u^2-2 < y, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [-1, -1], [8, 8], [741455/262144, 2965821/1048576]]]], [[2,
1, 4, 5, 5], [v = -2^(1/2), u < v, x = -1, u^2-2 < y, (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [8, 8]
, [4, 4]]]], [[3, 4, 7, 5, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2),
1 < x, x < y, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-1417877/2097152, -354469/524288], [2, 2], [3, 3], [-1, -1]]]], [[3, 4, 7, 5,
2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), 1 < x, x < y, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [2, 2], [3, 3], [0, 0]]]], [[3, 4, 7, 5, 3], [And(-2^(1/2) < v
,v < -1), u = -(v^2-1)^(1/2), 1 < x, x < y, 0 < z], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2], [3, 3
], [1, 1]]]], [[3, 9, 6, 1, 1], [And(-2^(1/2) < v,v < -1), -v < 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], [-11, -11], [-4, -4]]]], [[3, 9, 6, 1, 2], [
And(-2^(1/2) < v,v < -1), -v < 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], [-\
11, -11], [-1532401/524288, -24518415/8388608]]]], [[3, 9, 6, 1, 3], [And(-2^(
1/2) < v,v < -1), -v < 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], [-11, -11], [-7/16777216, -7/16777216]]]], [[3, 9, 6, 1, 4], [
And(-2^(1/2) < v,v < -1), -v < 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], [-11
, -11], [3064801/1048576, 1532401/524288]]]], [[3, 9, 6, 1, 5], [And(-2^(1/2)
< v,v < -1), -v < 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], [-11, -\
11], [4, 4]]]], [[5, 3, 5, 1, 1], [And(-1 < v,v < 0), And(v < u,u < -v), And(-
u^2+v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [1/8, 1/8], [-2, -2], [-2, -2]]]], [[5,
3, 5, 1, 2], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 1),
y < -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0,
0], [1/8, 1/8], [-2, -2], [-1816187/2097152, -3632373/4194304]]]], [[5, 3, 5,
1, 3], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 1), y < -
u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [0, 0], [1/8, 1/8], [-2, -2], [-1/8388608, -1/
8388608]]]], [[5, 3, 5, 1, 4], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2
+v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [
[-1/2, -1/2], [0, 0], [1/8, 1/8], [-2, -2], [908093/1048576, 454047/524288]]]]
, [[5, 3, 5, 1, 5], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,
x < 1), y < -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2
], [0, 0], [1/8, 1/8], [-2, -2], [2, 2]]]], [[6, 3, 5, 2, 1], [v = 0, 0 < u, 
And(-1 < x,x < 1), y = -u^2-x-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0],
[1, 1], [0, 0], [-2, -2], [-3, -3]]]], [[6, 3, 5, 2, 2], [v = 0, 0 < u, And(-1
< x,x < 1), y = -u^2-x-1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1]
, [0, 0], [-2, -2], [-1482911/1048576, -741455/524288]]]], [[6, 3, 5, 2, 3], [
v = 0, 0 < u, And(-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, 1], [0, 0], [-2, -2], [0, 0]]]], [[6
, 3, 5, 2, 4], [v = 0, 0 < u, And(-1 < x,x < 1), y = -u^2-x-1, z = (u^2+1)^(1/
2)], [regular_chain, [[0, 0], [1, 1], [0, 0], [-2, -2], [741455/524288, 
1482911/1048576]]]], [[6, 3, 5, 2, 5], [v = 0, 0 < u, And(-1 < x,x < 1), y = -
u^2-x-1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [0, 0], [-2, -2]
, [3, 3]]]], [[9, 3, 3, 2, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1
)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [-299103/1048576, -\
149551/524288], [-2, -2]]]], [[9, 3, 3, 2, 2], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1, z = -(u^
2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/2097152], [-\
299103/1048576, -149551/524288], [-1374407/2097152, -687203/1048576]]]], [[9,
3, 3, 2, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-1 <
x,x < -u^2+v^2-1), y = u^2-v^2+x+1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)
^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-1498947/2097152, -1498947/2097152], [-299103/
1048576, -149551/524288], [0, 0]]]], [[9, 3, 3, 2, 4], [And(1 < v,v < 2^(1/2))
, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1,
z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/2097152], [-\
299103/1048576, -149551/524288], [687203/1048576, 171801/262144]]]], [[9, 3, 3
, 2, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x
< -u^2+v^2-1), y = u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
1498947/2097152, -1498947/2097152], [-299103/1048576, -149551/524288], [2, 2]]
]], [[9, 7, 6, 3, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x
= 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [1, 1], [0, 0], [-2, -2]]]], [[9, 7, 6, 3, 2], [And(1 < v,v < 2^(1/2
)), And((v^2-1)^(1/2) < u,u < v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [1, 1], [0, 0], [-1374407/2097152, -687203/
1048576]]]], [[9, 7, 6, 3, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,
u < v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), And(-(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], [0, 0], [0, 0]]]], [[9, 7, 6, 3, 4],
[And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 1, And(-u^2+v^2-2 <
y,y < u^2-v^2+2), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [0, 0], [687203/
1048576, 171801/262144]]]], [[9, 7, 6, 3, 5], [And(1 < v,v < 2^(1/2)), And((v^
2-1)^(1/2) < u,u < v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), (u^2-v^2+1)^(
1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [1, 1], [0, 0], [2, 2]]]], [[10, 1, 1, 4, 1], [v = 2
^(1/2), u < -v, x < -u^2+1, y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-3, -3], [-9, -9], [1, 1], [-4, -4]]]], [[
10, 1, 1, 4, 2], [v = 2^(1/2), u < -v, x < -u^2+1, y = -u^2-x+1, z = -(u^2-1)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9, -9],
[1, 1], [-2965821/1048576, -11863283/4194304]]]], [[10, 1, 1, 4, 3], [v = 2^(1
/2), u < -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], [-3, -3], [-9, -9], [1
, 1], [-3/8388608, -3/8388608]]]], [[10, 1, 1, 4, 4], [v = 2^(1/2), u < -v, x
< -u^2+1, y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [-9, -9], [1, 1], [741455/262144, 2965821/1048576]
]]], [[10, 1, 1, 4, 5], [v = 2^(1/2), u < -v, 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, 5, 6, 5, 1], [v = 2^(1/2), And(-1 < u,u < 0),
x = 1, u^2 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1
/2, -1/2], [1, 1], [2, 2], [0, 0]]]], [[11, 9, 5, 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], [1581613/
2097152, 1581613/2097152], [-257771/1048576, -128885/524288], [0, 0]]]], [[1,
1, 7, 5, 1], [v < -2^(1/2), u < v, 1 < x, u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1
/2)], [regular_chain, [[-3, -3], [-4, -4], [2, 2], [11, 11], [-4, -4]]]], [[1,
1, 7, 5, 2], [v < -2^(1/2), u < v, 1 < x, u^2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1
/2)], [regular_chain, [[-3, -3], [-4, -4], [2, 2], [11, 11], [-2965821/1048576
, -11863283/4194304]]]], [[1, 1, 7, 5, 3], [v < -2^(1/2), u < v, 1 < x, u^2-v^
2+x+1 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain,
[[-3, -3], [-4, -4], [2, 2], [11, 11], [-3/8388608, -3/8388608]]]], [[1, 1, 7,
5, 4], [v < -2^(1/2), u < v, 1 < x, u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-4, -4], [2, 2], [11, 11], [741455/262144, 2965821/
1048576]]]], [[1, 1, 7, 5, 5], [v < -2^(1/2), u < v, 1 < x, u^2-v^2+x+1 < y, (
u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-4, -4], [2, 2], [11, 11],
[4, 4]]]], [[1, 7, 1, 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+x+1, z = z], [regular_chain, [[-3, -3], [0, 0], [
-2, -2], [-11, -11], [0, 0]]]], [[2, 8, 4, 1, 1], [v = -2^(1/2), u = 1, x = 0,
y < 0, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [0
, 0], [-1, -1], [-1, -1]]]], [[2, 8, 4, 1, 2], [v = -2^(1/2), u = 1, x = 0, y
< 0, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [0,
0], [-1, -1], [0, 0]]]], [[2, 8, 4, 1, 3], [v = -2^(1/2), u = 1, x = 0, y < 0,
0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [0, 0], [
-1, -1], [1, 1]]]], [[3, 2, 2, 2, 1], [And(-2^(1/2) < v,v < -1), u = v, x = -1
, y = 0, z < -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [0, 0], [-2, -2]]]], [[3, 2, 2,
2, 2], [And(-2^(1/2) < v,v < -1), u = v, x = -1, y = 0, z = -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [0, 0], [-1, -1]]]], [[3, 2, 2, 2, 3], [And(-2^(1/
2) < v,v < -1), u = v, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1,
-1], [0, 0], [0, 0]]]], [[3, 2, 2, 2, 4], [And(-2^(1/2) < v,v < -1), u = v, x
= -1, y = 0, z = 1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [0, 0], [1, 1]]]], [[3, 2, 2, 2,
5], [And(-2^(1/2) < v,v < -1), u = v, x = -1, y = 0, 1 < z], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-\
1, -1], [0, 0], [2, 2]]]], [[4, 3, 1, 2, 1], [v = -1, And(-1 < u,u < 0), x < -\
1, y = u^2+x, z < u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-2, -2], [-7/4
, -7/4], [-2, -2]]]], [[4, 3, 1, 2, 2], [v = -1, And(-1 < u,u < 0), x < -1, y
= u^2+x, z = u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-2, -2], [-7/4, -7/
4], [-1/2, -1/2]]]], [[4, 3, 1, 2, 3], [v = -1, And(-1 < u,u < 0), x < -1, y =
u^2+x, And(u < z,z < -u)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-2, -2],
[-7/4, -7/4], [0, 0]]]], [[4, 3, 1, 2, 4], [v = -1, And(-1 < u,u < 0), x < -1,
y = u^2+x, z = -u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-2, -2], [-7/4,
-7/4], [1/2, 1/2]]]], [[4, 3, 1, 2, 5], [v = -1, And(-1 < u,u < 0), x < -1, y
= u^2+x, -u < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-2, -2], [-7/4, -7
/4], [2, 2]]]], [[4, 7, 6, 3, 1], [v = -1, 1 < u, x = 1, And(-u^2-1 < y,y < u^
2+1), z < -u], [regular_chain, [[-1, -1], [2, 2], [1, 1], [0, 0], [-3, -3]]]],
[[4, 7, 6, 3, 2], [v = -1, 1 < u, x = 1, And(-u^2-1 < y,y < u^2+1), z = -u], [
regular_chain, [[-1, -1], [2, 2], [1, 1], [0, 0], [-2, -2]]]], [[4, 7, 6, 3, 3
], [v = -1, 1 < u, x = 1, And(-u^2-1 < y,y < u^2+1), And(-u < z,z < u)], [
regular_chain, [[-1, -1], [2, 2], [1, 1], [0, 0], [0, 0]]]], [[4, 7, 6, 3, 4],
[v = -1, 1 < u, x = 1, And(-u^2-1 < y,y < u^2+1), z = u], [regular_chain, [[-1
, -1], [2, 2], [1, 1], [0, 0], [2, 2]]]], [[4, 7, 6, 3, 5], [v = -1, 1 < u, x
= 1, And(-u^2-1 < y,y < u^2+1), u < z], [regular_chain, [[-1, -1], [2, 2], [1,
1], [0, 0], [3, 3]]]], [[8, 2, 4, 5, 1], [v = 1, u = -1, x = 1, 2 < y, z < -1]
, [regular_chain, [[1, 1], [-1, -1], [1, 1], [3, 3], [-2, -2]]]], [[8, 2, 4, 5
, 2], [v = 1, u = -1, x = 1, 2 < y, z = -1], [regular_chain, [[1, 1], [-1, -1]
, [1, 1], [3, 3], [-1, -1]]]], [[8, 2, 4, 5, 3], [v = 1, u = -1, x = 1, 2 < y,
And(-1 < z,z < 1)], [regular_chain, [[1, 1], [-1, -1], [1, 1], [3, 3], [0, 0]]
]], [[8, 2, 4, 5, 4], [v = 1, u = -1, x = 1, 2 < y, z = 1], [regular_chain, [[
1, 1], [-1, -1], [1, 1], [3, 3], [1, 1]]]], [[8, 2, 4, 5, 5], [v = 1, u = -1,
x = 1, 2 < y, 1 < z], [regular_chain, [[1, 1], [-1, -1], [1, 1], [3, 3], [2, 2
]]]], [[8, 7, 5, 1, 1], [v = 1, 1 < u, And(-1 < x,x < 1), y < -u^2-x, z < -u],
[regular_chain, [[1, 1], [2, 2], [0, 0], [-5, -5], [-3, -3]]]], [[8, 7, 5, 1,
2], [v = 1, 1 < u, And(-1 < x,x < 1), y < -u^2-x, z = -u], [regular_chain, [[1
, 1], [2, 2], [0, 0], [-5, -5], [-2, -2]]]], [[8, 7, 5, 1, 3], [v = 1, 1 < u,
And(-1 < x,x < 1), y < -u^2-x, And(-u < z,z < u)], [regular_chain, [[1, 1], [2
, 2], [0, 0], [-5, -5], [0, 0]]]], [[8, 7, 5, 1, 4], [v = 1, 1 < u, And(-1 < x
,x < 1), y < -u^2-x, z = u], [regular_chain, [[1, 1], [2, 2], [0, 0], [-5, -5]
, [2, 2]]]], [[8, 7, 5, 1, 5], [v = 1, 1 < u, And(-1 < x,x < 1), y < -u^2-x, u
< z], [regular_chain, [[1, 1], [2, 2], [0, 0], [-5, -5], [3, 3]]]], [[10, 8, 5
, 3, 1], [v = 2^(1/2), u = 1, And(0 < x,x < 1), And(-x < y,y < x), z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1/2, 1/2], [0, 0],
[-1, -1]]]], [[10, 8, 5, 3, 2], [v = 2^(1/2), u = 1, And(0 < x,x < 1), And(-x
< y,y < x), z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1],
[1/2, 1/2], [0, 0], [0, 0]]]], [[10, 8, 5, 3, 3], [v = 2^(1/2), u = 1, And(0 <
x,x < 1), And(-x < y,y < x), 0 < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1, 1], [1/2, 1/2], [0, 0], [1, 1]]]], [[11, 2, 3, 4, 1], [2^(1/2) <
v, u = -v, And(-1 < x,x < 1), y = x+1, z < -1], [regular_chain, [[3, 3], [-3,
-3], [0, 0], [1, 1], [-2, -2]]]], [[11, 2, 3, 4, 2], [2^(1/2) < v, u = -v, And
(-1 < x,x < 1), y = x+1, z = -1], [regular_chain, [[3, 3], [-3, -3], [0, 0], [
1, 1], [-1, -1]]]], [[11, 2, 3, 4, 3], [2^(1/2) < v, u = -v, And(-1 < x,x < 1)
, y = x+1, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [-3, -3], [0, 0], [1,
1], [0, 0]]]], [[11, 2, 3, 4, 4], [2^(1/2) < v, u = -v, And(-1 < x,x < 1), y =
x+1, z = 1], [regular_chain, [[3, 3], [-3, -3], [0, 0], [1, 1], [1, 1]]]], [[
11, 2, 3, 4, 5], [2^(1/2) < v, u = -v, And(-1 < x,x < 1), y = x+1, 1 < z], [
regular_chain, [[3, 3], [-3, -3], [0, 0], [1, 1], [2, 2]]]], [[1, 9, 6, 5, 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 = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1, 1], [
2, 2], [0, 0]]]], [[2, 1, 4, 2, 1], [v = -2^(1/2), u < v, x = -1, y = -u^2+2,
z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3,
-3], [-1, -1], [-7, -7], [-4, -4]]]], [[2, 1, 4, 2, 2], [v = -2^(1/2), u < v,
x = -1, y = -u^2+2, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [-1, -1], [-7, -7], [-2965821/1048576, -11863283/
4194304]]]], [[2, 1, 4, 2, 3], [v = -2^(1/2), u < 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], [-3, -3], [-1, -1], [-7, -7], [-3/8388608, -3/8388608]]]], [[2
, 1, 4, 2, 4], [v = -2^(1/2), u < v, x = -1, y = -u^2+2, z = (u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [-7, -\
7], [741455/262144, 2965821/1048576]]]], [[2, 1, 4, 2, 5], [v = -2^(1/2), u <
v, 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, 5, 1, 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+x+1 < y,y < -u^2+v^2-x-1), z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [-2, -2], [0, 0], [0, 0]]]], [[3, 9, 5, 5,
1], [And(-2^(1/2) < v,v < -1), -v < u, And(-1 < x,x < 1), u^2-v^2+x+1 < y, z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3
, 3], [0, 0], [10, 10], [-4, -4]]]], [[3, 9, 5, 5, 2], [And(-2^(1/2) < v,v < -\
1), -v < u, And(-1 < x,x < 1), u^2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [0, 0], [10, 10]
, [-1532401/524288, -24518415/8388608]]]], [[3, 9, 5, 5, 3], [And(-2^(1/2) < v
,v < -1), -v < u, And(-1 < x,x < 1), u^2-v^2+x+1 < y, 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], [10, 10], [-7/16777216, -7/16777216]]]], [[3, 9, 5,
5, 4], [And(-2^(1/2) < v,v < -1), -v < u, And(-1 < x,x < 1), u^2-v^2+x+1 < y,
z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[3, 3], [0, 0], [10, 10], [3064801/1048576, 1532401/524288]]]], [[3, 9, 5, 5,
5], [And(-2^(1/2) < v,v < -1), -v < u, And(-1 < x,x < 1), u^2-v^2+x+1 < y, (u^
2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3
, 3], [0, 0], [10, 10], [4, 4]]]], [[5, 3, 5, 2, 1], [And(-1 < v,v < 0), And(v
< u,u < -v), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/
2)], [regular_chain, [[-1/2, -1/2], [0, 0], [1/8, 1/8], [-7/8, -7/8], [-2, -2]
]]], [[5, 3, 5, 2, 2], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2-1 <
x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -\
1/2], [0, 0], [1/8, 1/8], [-7/8, -7/8], [-1816187/2097152, -3632373/4194304]]]
], [[5, 3, 5, 2, 3], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2-1 < x
,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))],
[regular_chain, [[-1/2, -1/2], [0, 0], [1/8, 1/8], [-7/8, -7/8], [-1/8388608,
-1/8388608]]]], [[5, 3, 5, 2, 4], [And(-1 < v,v < 0), And(v < u,u < -v), And(-
u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain
, [[-1/2, -1/2], [0, 0], [1/8, 1/8], [-7/8, -7/8], [908093/1048576, 454047/
524288]]]], [[5, 3, 5, 2, 5], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+
v^2-1 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
-1/2, -1/2], [0, 0], [1/8, 1/8], [-7/8, -7/8], [2, 2]]]], [[6, 3, 4, 4, 1], [v
= 0, 0 < u, x = -1, y = u^2, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1,
1], [-1, -1], [1, 1], [-3, -3]]]], [[6, 3, 4, 4, 2], [v = 0, 0 < u, x = -1, y
= u^2, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-1, -1], [1, 1],
[-1482911/1048576, -741455/524288]]]], [[6, 3, 4, 4, 3], [v = 0, 0 < u, x = -1
, y = u^2, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0]
, [1, 1], [-1, -1], [1, 1], [0, 0]]]], [[6, 3, 4, 4, 4], [v = 0, 0 < u, x = -1
, y = u^2, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-1, -1], [1,
1], [741455/524288, 1482911/1048576]]]], [[6, 3, 4, 4, 5], [v = 0, 0 < u, x =
-1, y = u^2, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [-1, -1], [1
, 1], [3, 3]]]], [[9, 3, 3, 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), -u^2+v^2-x-1 < y, z < -(u^2-v^2+1)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304,
-3949363/4194304], [-1498947/2097152, -1498947/2097152], [2, 2], [-2, -2]]]],
[[9, 3, 3, 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), -u^2+v^2-x-1 < y, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [2, 2], [-1374407/
2097152, -687203/1048576]]]], [[9, 3, 3, 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), -u^2+v^2-x-1 < y, 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], [2, 2], [0, 0]]]], [[9, 3, 3, 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), -u^2+v
^2-x-1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/
2097152], [2, 2], [687203/1048576, 171801/262144]]]], [[9, 3, 3, 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),
-u^2+v^2-x-1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/2097152, -\
1498947/2097152], [2, 2], [2, 2]]]], [[9, 7, 6, 2, 1], [And(1 < v,v < 2^(1/2))
, And((v^2-1)^(1/2) < u,u < v), x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341
/1048576], [1, 1], [-374737/262144, -1498947/1048576], [-2, -2]]]], [[9, 7, 6,
2, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 1, y = -u^2+
v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [1, 1], [-374737/262144, -1498947/
1048576], [-1374407/2097152, -687203/1048576]]]], [[9, 7, 6, 2, 3], [And(1 < v
,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 1, y = -u^2+v^2-2, And(-(u^2-
v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [-374737/262144, -\
1498947/1048576], [0, 0]]]], [[9, 7, 6, 2, 4], [And(1 < v,v < 2^(1/2)), And((v
^2-1)^(1/2) < u,u < v), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [1, 1], [-374737/262144, -1498947/1048576], [687203/1048576, 171801/
262144]]]], [[9, 7, 6, 2, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u
< v), x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [-374737
/262144, -1498947/1048576], [2, 2]]]], [[10, 1, 1, 5, 1], [v = 2^(1/2), u < -v
, x < -u^2+1, -u^2-x+1 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [-9, -9], [2, 2], [-4, -4]]]], [[10, 1, 1,
5, 2], [v = 2^(1/2), u < -v, x < -u^2+1, -u^2-x+1 < y, z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9, -9], [2, 2],
[-2965821/1048576, -11863283/4194304]]]], [[10, 1, 1, 5, 3], [v = 2^(1/2), u <
-v, x < -u^2+1, -u^2-x+1 < y, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9, -9], [2, 2],
[-3/8388608, -3/8388608]]]], [[10, 1, 1, 5, 4], [v = 2^(1/2), u < -v, x < -u^2
+1, -u^2-x+1 < y, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [-3, -3], [-9, -9], [2, 2], [741455/262144, 2965821/1048576]]]], [[
10, 1, 1, 5, 5], [v = 2^(1/2), u < -v, x < -u^2+1, -u^2-x+1 < y, (u^2-1)^(1/2)
< z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9, -9], [
2, 2], [4, 4]]]], [[10, 5, 6, 2, 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]]]], [[11, 9, 5, 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), u^2-v^2+x+1 < y, z
= z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1581613/
2097152, 1581613/2097152], [2, 2], [0, 0]]]], [[1, 2, 1, 1, 1], [v < -2^(1/2),
u = v, x < -1, y < x+1, z < -1], [regular_chain, [[-3, -3], [-3, -3], [-2, -2]
, [-2, -2], [-2, -2]]]], [[1, 2, 1, 1, 2], [v < -2^(1/2), u = v, x < -1, y < x
+1, z = -1], [regular_chain, [[-3, -3], [-3, -3], [-2, -2], [-2, -2], [-1, -1]
]]], [[1, 2, 1, 1, 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], [-2, -2], [0, 0]]]], [[1, 2
, 1, 1, 4], [v < -2^(1/2), u = v, x < -1, y < x+1, z = 1], [regular_chain, [[-\
3, -3], [-3, -3], [-2, -2], [-2, -2], [1, 1]]]], [[1, 2, 1, 1, 5], [v < -2^(1/
2), u = v, x < -1, y < x+1, 1 < z], [regular_chain, [[-3, -3], [-3, -3], [-2,
-2], [-2, -2], [2, 2]]]], [[1, 6, 5, 3, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2),
1 < x, And(-x+1 < y,y < x-1), z = z], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [2, 2], [0, 0], [0, 0]]]], [[2, 8, 5, 1, 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], [-2, -2], [-1, -1]]]], [[2, 8, 5
, 1, 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], [-2, -\
2], [0, 0]]]], [[2, 8, 5, 1, 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], [-2, -2], [1, 1]]]], [[3, 2, 2, 1, 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], [-1, -1], [-2, -2]]]], [[3, 2,
2, 1, 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], [-1, -1], [-1, -1]]]], [[3, 2, 2, 1, 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], [-1, -1], [0, 0]]]], [[3, 2, 2, 1, 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], [-1, -1], [1, 1]]]], [[3, 2,
2, 1, 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], [-1, -1], [2, 2]]]], [[4, 3, 1, 3, 1], [v = -1, 
And(-1 < u,u < 0), x < -1, And(u^2+x < y,y < -u^2-x), z < u], [regular_chain,
[[-1, -1], [-1/2, -1/2], [-2, -2], [0, 0], [-2, -2]]]], [[4, 3, 1, 3, 2], [v =
-1, And(-1 < u,u < 0), x < -1, And(u^2+x < y,y < -u^2-x), z = u], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-2, -2], [0, 0], [-1/2, -1/2]]]], [[4
, 3, 1, 3, 3], [v = -1, And(-1 < u,u < 0), x < -1, And(u^2+x < y,y < -u^2-x),
And(u < z,z < -u)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-2, -2], [0, 0],
[0, 0]]]], [[4, 3, 1, 3, 4], [v = -1, And(-1 < u,u < 0), x < -1, And(u^2+x < y
,y < -u^2-x), z = -u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-2, -2], [0,
0], [1/2, 1/2]]]], [[4, 3, 1, 3, 5], [v = -1, And(-1 < u,u < 0), x < -1, And(u
^2+x < y,y < -u^2-x), -u < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-2, -\
2], [0, 0], [2, 2]]]], [[4, 7, 5, 5, 1], [v = -1, 1 < u, And(-1 < x,x < 1), u^
2+x < y, z < -u], [regular_chain, [[-1, -1], [2, 2], [0, 0], [5, 5], [-3, -3]]
]], [[4, 7, 5, 5, 2], [v = -1, 1 < u, And(-1 < x,x < 1), u^2+x < y, z = -u], [
regular_chain, [[-1, -1], [2, 2], [0, 0], [5, 5], [-2, -2]]]], [[4, 7, 5, 5, 3
], [v = -1, 1 < u, And(-1 < x,x < 1), u^2+x < y, And(-u < z,z < u)], [
regular_chain, [[-1, -1], [2, 2], [0, 0], [5, 5], [0, 0]]]], [[4, 7, 5, 5, 4],
[v = -1, 1 < u, And(-1 < x,x < 1), u^2+x < y, z = u], [regular_chain, [[-1, -1
], [2, 2], [0, 0], [5, 5], [2, 2]]]], [[4, 7, 5, 5, 5], [v = -1, 1 < u, And(-1
< x,x < 1), u^2+x < y, u < z], [regular_chain, [[-1, -1], [2, 2], [0, 0], [5,
5], [3, 3]]]], [[8, 2, 5, 3, 1], [v = 1, u = -1, 1 < x, And(-1-x < y,y < x+1),
z < -1], [regular_chain, [[1, 1], [-1, -1], [2, 2], [0, 0], [-2, -2]]]], [[8,
2, 5, 3, 2], [v = 1, u = -1, 1 < x, And(-1-x < y,y < x+1), z = -1], [
regular_chain, [[1, 1], [-1, -1], [2, 2], [0, 0], [-1, -1]]]], [[8, 2, 5, 3, 3
], [v = 1, u = -1, 1 < x, And(-1-x < y,y < x+1), And(-1 < z,z < 1)], [
regular_chain, [[1, 1], [-1, -1], [2, 2], [0, 0], [0, 0]]]], [[8, 2, 5, 3, 4],
[v = 1, u = -1, 1 < x, And(-1-x < y,y < x+1), z = 1], [regular_chain, [[1, 1],
[-1, -1], [2, 2], [0, 0], [1, 1]]]], [[8, 2, 5, 3, 5], [v = 1, u = -1, 1 < x,
And(-1-x < y,y < x+1), 1 < z], [regular_chain, [[1, 1], [-1, -1], [2, 2], [0,
0], [2, 2]]]], [[8, 7, 4, 5, 1], [v = 1, 1 < u, x = -1, u^2-1 < y, z < -u], [
regular_chain, [[1, 1], [2, 2], [-1, -1], [4, 4], [-3, -3]]]], [[8, 7, 4, 5, 2
], [v = 1, 1 < u, x = -1, u^2-1 < y, z = -u], [regular_chain, [[1, 1], [2, 2],
[-1, -1], [4, 4], [-2, -2]]]], [[8, 7, 4, 5, 3], [v = 1, 1 < u, x = -1, u^2-1
< y, And(-u < z,z < u)], [regular_chain, [[1, 1], [2, 2], [-1, -1], [4, 4], [0
, 0]]]], [[8, 7, 4, 5, 4], [v = 1, 1 < u, x = -1, u^2-1 < y, z = u], [
regular_chain, [[1, 1], [2, 2], [-1, -1], [4, 4], [2, 2]]]], [[8, 7, 4, 5, 5],
[v = 1, 1 < u, x = -1, u^2-1 < y, u < z], [regular_chain, [[1, 1], [2, 2], [-1
, -1], [4, 4], [3, 3]]]], [[10, 8, 5, 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, 5, 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, 5, 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]]]], [[11, 2,
3, 1, 1], [2^(1/2) < v, u = -v, And(-1 < x,x < 1), y < -1-x, z < -1], [
regular_chain, [[3, 3], [-3, -3], [0, 0], [-2, -2], [-2, -2]]]], [[11, 2, 3, 1
, 2], [2^(1/2) < v, u = -v, And(-1 < x,x < 1), y < -1-x, z = -1], [
regular_chain, [[3, 3], [-3, -3], [0, 0], [-2, -2], [-1, -1]]]], [[11, 2, 3, 1
, 3], [2^(1/2) < v, u = -v, And(-1 < x,x < 1), y < -1-x, And(-1 < z,z < 1)], [
regular_chain, [[3, 3], [-3, -3], [0, 0], [-2, -2], [0, 0]]]], [[11, 2, 3, 1,
4], [2^(1/2) < v, u = -v, And(-1 < x,x < 1), y < -1-x, z = 1], [regular_chain,
[[3, 3], [-3, -3], [0, 0], [-2, -2], [1, 1]]]], [[11, 2, 3, 1, 5], [2^(1/2) <
v, u = -v, And(-1 < x,x < 1), y < -1-x, 1 < z], [regular_chain, [[3, 3], [-3,
-3], [0, 0], [-2, -2], [2, 2]]]], [[1, 9, 7, 1, 1], [v < -2^(1/2), And((v^2-2)
^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z = z], [regular_chain
, [[-3, -3], [1435023/524288, 1435023/524288], [2, 2], [-3, -3], [0, 0]]]], [[
2, 1, 4, 3, 1], [v = -2^(1/2), u < v, x = -1, And(-u^2+2 < y,y < u^2-2), z < -
(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3],
[-1, -1], [0, 0], [-4, -4]]]], [[2, 1, 4, 3, 2], [v = -2^(1/2), u < v, x = -1,
And(-u^2+2 < y,y < u^2-2), z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [-1, -1], [0, 0], [-2965821/1048576, -\
11863283/4194304]]]], [[2, 1, 4, 3, 3], [v = -2^(1/2), u < v, x = -1, And(-u^2
+2 < y,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], [0, 0], [-3/8388608,
-3/8388608]]]], [[2, 1, 4, 3, 4], [v = -2^(1/2), u < v, x = -1, And(-u^2+2 < y
,y < u^2-2), z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [-1, -1], [0, 0], [741455/262144, 2965821/1048576]]]], [[2,
1, 4, 3, 5], [v = -2^(1/2), u < v, x = -1, And(-u^2+2 < y,y < u^2-2), (u^2-1)^
(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1
, -1], [0, 0], [4, 4]]]], [[3, 5, 1, 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+x+1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-2, -2], [-\
2576463/1048576, -1288231/524288], [0, 0]]]], [[3, 9, 5, 4, 1], [And(-2^(1/2)
< v,v < -1), -v < u, And(-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], [0, 0], [
8957873/1048576, 4478937/524288], [-4, -4]]]], [[3, 9, 5, 4, 2], [And(-2^(1/2)
< v,v < -1), -v < u, And(-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], [0, 0], [
8957873/1048576, 4478937/524288], [-1532401/524288, -24518415/8388608]]]], [[3
, 9, 5, 4, 3], [And(-2^(1/2) < v,v < -1), -v < u, And(-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], [0, 0], [8957873/1048576, 4478937
/524288], [-7/16777216, -7/16777216]]]], [[3, 9, 5, 4, 4], [And(-2^(1/2) < v,v
< -1), -v < u, And(-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], [0, 0], [8957873
/1048576, 4478937/524288], [3064801/1048576, 1532401/524288]]]], [[3, 9, 5, 4,
5], [And(-2^(1/2) < v,v < -1), -v < u, And(-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], [0, 0], [8957873/1048576, 4478937/524288], [4, 4]]]], [[5, 3, 5, 3, 1],
[And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2
-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1
/2], [0, 0], [1/8, 1/8], [0, 0], [-2, -2]]]], [[5, 3, 5, 3, 2], [And(-1 < v,v
< 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u
^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [
1/8, 1/8], [0, 0], [-1816187/2097152, -3632373/4194304]]]], [[5, 3, 5, 3, 3],
[And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2
-x-1 < y,y < u^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], [1/8, 1/8], [0, 0], [-1/8388608, -1/
8388608]]]], [[5, 3, 5, 3, 4], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2
+v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2-v^2+1)^(1/2
)], [regular_chain, [[-1/2, -1/2], [0, 0], [1/8, 1/8], [0, 0], [908093/1048576
, 454047/524288]]]], [[5, 3, 5, 3, 5], [And(-1 < v,v < 0), And(v < u,u < -v),
And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^
(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [1/8, 1/8], [0, 0], [2, 2]]
]], [[6, 3, 4, 5, 1], [v = 0, 0 < u, x = -1, u^2 < y, z < -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-1, -1], [2, 2], [-3, -3]]]], [[6, 3, 4, 5, 2
], [v = 0, 0 < u, x = -1, u^2 < y, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0
], [1, 1], [-1, -1], [2, 2], [-1482911/1048576, -741455/524288]]]], [[6, 3, 4,
5, 3], [v = 0, 0 < u, x = -1, u^2 < y, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2
))], [regular_chain, [[0, 0], [1, 1], [-1, -1], [2, 2], [0, 0]]]], [[6, 3, 4,
5, 4], [v = 0, 0 < u, x = -1, u^2 < y, z = (u^2+1)^(1/2)], [regular_chain, [[0
, 0], [1, 1], [-1, -1], [2, 2], [741455/524288, 1482911/1048576]]]], [[6, 3, 4
, 5, 5], [v = 0, 0 < u, x = -1, u^2 < y, (u^2+1)^(1/2) < z], [regular_chain, [
[0, 0], [1, 1], [-1, -1], [2, 2], [3, 3]]]], [[9, 3, 3, 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], [149551/524288, 299103/1048576], [-2, -2]]]], [[9, 3, 3, 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], [149551/524288, 299103/1048576], [-1374407/2097152
, -687203/1048576]]]], [[9, 3, 3, 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], [149551/524288, 299103/1048576], [0, 0]]]], [[9, 3, 3, 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], [149551/524288, 299103/1048576], [687203/1048576,
171801/262144]]]], [[9, 3, 3, 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], [149551/524288, 
299103/1048576], [2, 2]]]], [[9, 7, 6, 1, 1], [And(1 < v,v < 2^(1/2)), And((v^
2-1)^(1/2) < u,u < v), x = 1, y < -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [1, 1], [-3, -3], [-2, -2]]]], [[9, 7, 6, 1, 2], [And(1 < v,v < 2^(1
/2)), And((v^2-1)^(1/2) < u,u < v), x = 1, y < -u^2+v^2-2, z = -(u^2-v^2+1)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [1, 1], [-3, -3], [-1374407/2097152, -687203/1048576]]]], [[9
, 7, 6, 1, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 1, y
< -u^2+v^2-2, And(-(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], [-3, -3], [0, 0]]]], [[9, 7, 6, 1, 4], [And(1 < v,v < 2^(1/2
)), And((v^2-1)^(1/2) < u,u < v), x = 1, y < -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [1, 1], [-3, -3], [687203/1048576, 171801/262144]]]], [[9, 7,
6, 1, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 1, y < -u
^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [1, 1], [-3, -3], [2, 2]]]], [[10,
1, 2, 1, 1], [v = 2^(1/2), u < -v, x = -u^2+1, y < 0, z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-8, -8], [-1, -1]
, [-4, -4]]]], [[10, 1, 2, 1, 2], [v = 2^(1/2), u < -v, x = -u^2+1, y < 0, z =
-(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3],
[-8, -8], [-1, -1], [-2965821/1048576, -11863283/4194304]]]], [[10, 1, 2, 1, 3
], [v = 2^(1/2), 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], [-3, -3], [-8, -8
], [-1, -1], [-3/8388608, -3/8388608]]]], [[10, 1, 2, 1, 4], [v = 2^(1/2), u <
-v, x = -u^2+1, y < 0, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [-8, -8], [-1, -1], [741455/262144, 2965821/
1048576]]]], [[10, 1, 2, 1, 5], [v = 2^(1/2), u < -v, x = -u^2+1, y < 0, (u^2-\
1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-\
8, -8], [-1, -1], [4, 4]]]], [[10, 5, 6, 3, 1], [v = 2^(1/2), And(-1 < u,u < 0
), x = 1, And(-u^2 < y,y < u^2), z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [1, 1], [0, 0], [0, 0]]]], [[11, 9, 5, 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]]]], [[1, 2, 1, 2, 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, 2, 1
, 2, 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, 2, 1, 2, 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, 2, 1, 2, 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, 2, 1, 2, 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, 6, 5,
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]]]], [[2, 8, 4, 3, 1], [v = -2^(1/2), u = 1, x = 0, 0 < y, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [0, 0], [1, 1], [-\
1, -1]]]], [[2, 8, 4, 3, 2], [v = -2^(1/2), u = 1, x = 0, 0 < y, z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [0, 0], [1, 1], [0
, 0]]]], [[2, 8, 4, 3, 3], [v = -2^(1/2), u = 1, x = 0, 0 < y, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [0, 0], [1, 1], [1
, 1]]]], [[3, 2, 1, 5, 1], [And(-2^(1/2) < v,v < -1), u = v, x < -1, -1-x < y,
z < -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [-2, -2], [2, 2], [-2, -2]]]], [[3, 2, 1, 5, 2], [
And(-2^(1/2) < v,v < -1), u = v, x < -1, -1-x < y, z = -1], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2
, -2], [2, 2], [-1, -1]]]], [[3, 2, 1, 5, 3], [And(-2^(1/2) < v,v < -1), u = v
, x < -1, -1-x < y, And(-1 < z,z < 1)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [2, 2], [0,
0]]]], [[3, 2, 1, 5, 4], [And(-2^(1/2) < v,v < -1), u = v, x < -1, -1-x < y, z
= 1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576
, -1265743/1048576], [-2, -2], [2, 2], [1, 1]]]], [[3, 2, 1, 5, 5], [And(-2^(1
/2) < v,v < -1), u = v, x < -1, -1-x < y, 1 < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [2
, 2], [2, 2]]]], [[4, 3, 1, 4, 1], [v = -1, And(-1 < u,u < 0), x < -1, y = -u^
2-x, z < u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-2, -2], [7/4, 7/4], [-\
2, -2]]]], [[4, 3, 1, 4, 2], [v = -1, And(-1 < u,u < 0), x < -1, y = -u^2-x, z
= u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-2, -2], [7/4, 7/4], [-1/2, -1
/2]]]], [[4, 3, 1, 4, 3], [v = -1, And(-1 < u,u < 0), x < -1, y = -u^2-x, And(
u < z,z < -u)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-2, -2], [7/4, 7/4],
[0, 0]]]], [[4, 3, 1, 4, 4], [v = -1, And(-1 < u,u < 0), x < -1, y = -u^2-x, z
= -u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-2, -2], [7/4, 7/4], [1/2, 1/
2]]]], [[4, 3, 1, 4, 5], [v = -1, And(-1 < u,u < 0), x < -1, y = -u^2-x, -u <
z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-2, -2], [7/4, 7/4], [2, 2]]]],
[[4, 7, 6, 1, 1], [v = -1, 1 < u, x = 1, y < -u^2-1, z < -u], [regular_chain,
[[-1, -1], [2, 2], [1, 1], [-6, -6], [-3, -3]]]], [[4, 7, 6, 1, 2], [v = -1, 1
< u, x = 1, y < -u^2-1, z = -u], [regular_chain, [[-1, -1], [2, 2], [1, 1], [-\
6, -6], [-2, -2]]]], [[4, 7, 6, 1, 3], [v = -1, 1 < u, x = 1, y < -u^2-1, And(
-u < z,z < u)], [regular_chain, [[-1, -1], [2, 2], [1, 1], [-6, -6], [0, 0]]]]
, [[4, 7, 6, 1, 4], [v = -1, 1 < u, x = 1, y < -u^2-1, z = u], [regular_chain,
[[-1, -1], [2, 2], [1, 1], [-6, -6], [2, 2]]]], [[4, 7, 6, 1, 5], [v = -1, 1 <
u, x = 1, y < -u^2-1, u < z], [regular_chain, [[-1, -1], [2, 2], [1, 1], [-6,
-6], [3, 3]]]], [[8, 2, 5, 2, 1], [v = 1, u = -1, 1 < x, y = -1-x, z < -1], [
regular_chain, [[1, 1], [-1, -1], [2, 2], [-3, -3], [-2, -2]]]], [[8, 2, 5, 2,
2], [v = 1, u = -1, 1 < x, y = -1-x, z = -1], [regular_chain, [[1, 1], [-1, -1
], [2, 2], [-3, -3], [-1, -1]]]], [[8, 2, 5, 2, 3], [v = 1, u = -1, 1 < x, y =
-1-x, And(-1 < z,z < 1)], [regular_chain, [[1, 1], [-1, -1], [2, 2], [-3, -3],
[0, 0]]]], [[8, 2, 5, 2, 4], [v = 1, u = -1, 1 < x, y = -1-x, z = 1], [
regular_chain, [[1, 1], [-1, -1], [2, 2], [-3, -3], [1, 1]]]], [[8, 2, 5, 2, 5
], [v = 1, u = -1, 1 < x, y = -1-x, 1 < z], [regular_chain, [[1, 1], [-1, -1],
[2, 2], [-3, -3], [2, 2]]]], [[8, 7, 4, 4, 1], [v = 1, 1 < u, x = -1, y = u^2-\
1, z < -u], [regular_chain, [[1, 1], [2, 2], [-1, -1], [3, 3], [-3, -3]]]], [[
8, 7, 4, 4, 2], [v = 1, 1 < u, x = -1, y = u^2-1, z = -u], [regular_chain, [[1
, 1], [2, 2], [-1, -1], [3, 3], [-2, -2]]]], [[8, 7, 4, 4, 3], [v = 1, 1 < u,
x = -1, y = u^2-1, And(-u < z,z < u)], [regular_chain, [[1, 1], [2, 2], [-1, -\
1], [3, 3], [0, 0]]]], [[8, 7, 4, 4, 4], [v = 1, 1 < u, x = -1, y = u^2-1, z =
u], [regular_chain, [[1, 1], [2, 2], [-1, -1], [3, 3], [2, 2]]]], [[8, 7, 4, 4
, 5], [v = 1, 1 < u, x = -1, y = u^2-1, u < z], [regular_chain, [[1, 1], [2, 2
], [-1, -1], [3, 3], [3, 3]]]], [[10, 8, 5, 5, 1], [v = 2^(1/2), u = 1, And(0
< x,x < 1), x < y, z < 0], [regular_chain, [[741455/524288, 1482911/1048576],
[1, 1], [1/2, 1/2], [2, 2], [-1, -1]]]], [[10, 8, 5, 5, 2], [v = 2^(1/2), u =
1, And(0 < x,x < 1), x < y, z = 0], [regular_chain, [[741455/524288, 1482911/
1048576], [1, 1], [1/2, 1/2], [2, 2], [0, 0]]]], [[10, 8, 5, 5, 3], [v = 2^(1/
2), u = 1, And(0 < x,x < 1), x < y, 0 < z], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [1/2, 1/2], [2, 2], [1, 1]]]], [[11, 2, 3, 2, 1], [2
^(1/2) < v, u = -v, And(-1 < x,x < 1), y = -1-x, z < -1], [regular_chain, [[3,
3], [-3, -3], [0, 0], [-1, -1], [-2, -2]]]], [[11, 2, 3, 2, 2], [2^(1/2) < v,
u = -v, And(-1 < x,x < 1), y = -1-x, z = -1], [regular_chain, [[3, 3], [-3, -3
], [0, 0], [-1, -1], [-1, -1]]]], [[11, 2, 3, 2, 3], [2^(1/2) < v, u = -v, And
(-1 < x,x < 1), y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [-3, -3
], [0, 0], [-1, -1], [0, 0]]]], [[11, 2, 3, 2, 4], [2^(1/2) < v, u = -v, And(-\
1 < x,x < 1), y = -1-x, z = 1], [regular_chain, [[3, 3], [-3, -3], [0, 0], [-1
, -1], [1, 1]]]], [[11, 2, 3, 2, 5], [2^(1/2) < v, u = -v, And(-1 < x,x < 1),
y = -1-x, 1 < z], [regular_chain, [[3, 3], [-3, -3], [0, 0], [-1, -1], [2, 2]]
]], [[1, 2, 3, 4, 1], [v < -2^(1/2), u = v, And(-1 < x,x < 1), y = x+1, z < -1
], [regular_chain, [[-3, -3], [-3, -3], [0, 0], [1, 1], [-2, -2]]]], [[1, 2, 3
, 4, 2], [v < -2^(1/2), u = v, And(-1 < x,x < 1), y = x+1, z = -1], [
regular_chain, [[-3, -3], [-3, -3], [0, 0], [1, 1], [-1, -1]]]], [[1, 2, 3, 4,
3], [v < -2^(1/2), u = v, And(-1 < x,x < 1), y = x+1, And(-1 < z,z < 1)], [
regular_chain, [[-3, -3], [-3, -3], [0, 0], [1, 1], [0, 0]]]], [[1, 2, 3, 4, 4
], [v < -2^(1/2), u = v, And(-1 < x,x < 1), y = x+1, z = 1], [regular_chain, [
[-3, -3], [-3, -3], [0, 0], [1, 1], [1, 1]]]], [[1, 2, 3, 4, 5], [v < -2^(1/2)
, u = v, And(-1 < x,x < 1), y = x+1, 1 < z], [regular_chain, [[-3, -3], [-3, -\
3], [0, 0], [1, 1], [2, 2]]]], [[1, 7, 3, 3, 1], [v < -2^(1/2), And(-(v^2-2)^(
1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 1), And(u^2-v^2+x+1 < y,y < -u^2+v
^2-x-1), z = z], [regular_chain, [[-3, -3], [0, 0], [0, 0], [0, 0], [0, 0]]]],
[[2, 8, 3, 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, 3, 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, 3, 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]]]], [[3, 2, 1, 3, 1
], [And(-2^(1/2) < v,v < -1), u = v, x < -1, And(x+1 < y,y < -1-x), z < -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [0, 0], [-2, -2]]]], [[3, 2, 1, 3, 2], [And(-2^(1/
2) < v,v < -1), u = v, x < -1, And(x+1 < y,y < -1-x), z = -1], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [
-2, -2], [0, 0], [-1, -1]]]], [[3, 2, 1, 3, 3], [And(-2^(1/2) < v,v < -1), u =
v, x < -1, And(x+1 < y,y < -1-x), And(-1 < z,z < 1)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2,
-2], [0, 0], [0, 0]]]], [[3, 2, 1, 3, 4], [And(-2^(1/2) < v,v < -1), u = v, x
< -1, And(x+1 < y,y < -1-x), z = 1], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [0, 0], [1,
1]]]], [[3, 2, 1, 3, 5], [And(-2^(1/2) < v,v < -1), u = v, x < -1, And(x+1 < y
,y < -1-x), 1 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [-2, -2], [0, 0], [2, 2]]]], [[4, 3, 3, 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, 3, 3, 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, 3, 3, 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, 3, 3, 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, 3, 3, 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]]]], [[5, 1, 1, 5, 1]
, [And(-1 < v,v < 0), u < v, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, z < -(u^2-v^2+1
)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [-6, -6], [3, 3], [-4, -4]]
]], [[5, 1, 1, 5, 2], [And(-1 < v,v < 0), u < v, x < -u^2+v^2-1, -u^2+v^2-x-1
< y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [-6, -6
], [3, 3], [-2285319/1048576, -1142659/524288]]]], [[5, 1, 1, 5, 3], [And(-1 <
v,v < 0), u < v, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, And(-(u^2-v^2+1)^(1/2) < z,
z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-2, -2], [-6, -6], [3
, 3], [0, 0]]]], [[5, 1, 1, 5, 4], [And(-1 < v,v < 0), u < v, x < -u^2+v^2-1,
-u^2+v^2-x-1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2,
-2], [-6, -6], [3, 3], [1142659/524288, 2285319/1048576]]]], [[5, 1, 1, 5, 5],
[And(-1 < v,v < 0), u < v, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, (u^2-v^2+1)^(1/2)
< z], [regular_chain, [[-1/2, -1/2], [-2, -2], [-6, -6], [3, 3], [4, 4]]]], [[
8, 2, 4, 1, 1], [v = 1, u = -1, x = 1, y < -2, z < -1], [regular_chain, [[1, 1
], [-1, -1], [1, 1], [-3, -3], [-2, -2]]]], [[8, 2, 4, 1, 2], [v = 1, u = -1,
x = 1, y < -2, z = -1], [regular_chain, [[1, 1], [-1, -1], [1, 1], [-3, -3], [
-1, -1]]]], [[8, 2, 4, 1, 3], [v = 1, u = -1, x = 1, y < -2, And(-1 < z,z < 1)
], [regular_chain, [[1, 1], [-1, -1], [1, 1], [-3, -3], [0, 0]]]], [[8, 2, 4,
1, 4], [v = 1, u = -1, x = 1, y < -2, z = 1], [regular_chain, [[1, 1], [-1, -1
], [1, 1], [-3, -3], [1, 1]]]], [[8, 2, 4, 1, 5], [v = 1, u = -1, x = 1, y < -\
2, 1 < z], [regular_chain, [[1, 1], [-1, -1], [1, 1], [-3, -3], [2, 2]]]], [[8
, 7, 4, 2, 1], [v = 1, 1 < u, x = -1, y = -u^2+1, z < -u], [regular_chain, [[1
, 1], [2, 2], [-1, -1], [-3, -3], [-3, -3]]]], [[8, 7, 4, 2, 2], [v = 1, 1 < u
, x = -1, y = -u^2+1, z = -u], [regular_chain, [[1, 1], [2, 2], [-1, -1], [-3,
-3], [-2, -2]]]], [[8, 7, 4, 2, 3], [v = 1, 1 < u, x = -1, y = -u^2+1, And(-u
< z,z < u)], [regular_chain, [[1, 1], [2, 2], [-1, -1], [-3, -3], [0, 0]]]], [
[8, 7, 4, 2, 4], [v = 1, 1 < u, x = -1, y = -u^2+1, z = u], [regular_chain, [[
1, 1], [2, 2], [-1, -1], [-3, -3], [2, 2]]]], [[8, 7, 4, 2, 5], [v = 1, 1 < u,
x = -1, y = -u^2+1, u < z], [regular_chain, [[1, 1], [2, 2], [-1, -1], [-3, -3
], [3, 3]]]], [[10, 8, 6, 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, 6, 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, 6, 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]]]], [[11, 2, 4, 3, 1], [2^(1/2) < v, u = -v, x = 1, And(-2 < y,y < 2), z
< -1], [regular_chain, [[3, 3], [-3, -3], [1, 1], [0, 0], [-2, -2]]]], [[11, 2
, 4, 3, 2], [2^(1/2) < v, u = -v, x = 1, And(-2 < y,y < 2), z = -1], [
regular_chain, [[3, 3], [-3, -3], [1, 1], [0, 0], [-1, -1]]]], [[11, 2, 4, 3,
3], [2^(1/2) < v, u = -v, x = 1, And(-2 < y,y < 2), And(-1 < z,z < 1)], [
regular_chain, [[3, 3], [-3, -3], [1, 1], [0, 0], [0, 0]]]], [[11, 2, 4, 3, 4]
, [2^(1/2) < v, u = -v, x = 1, And(-2 < y,y < 2), z = 1], [regular_chain, [[3,
3], [-3, -3], [1, 1], [0, 0], [1, 1]]]], [[11, 2, 4, 3, 5], [2^(1/2) < v, u =
-v, x = 1, And(-2 < y,y < 2), 1 < z], [regular_chain, [[3, 3], [-3, -3], [1, 1
], [0, 0], [2, 2]]]], [[1, 9, 7, 3, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = z], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [2, 2], [0, 0], [0
, 0]]]], [[2, 1, 5, 4, 1], [v = -2^(1/2), u < v, And(-1 < x,x < 1), y = u^2+x-\
1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
-3, -3], [0, 0], [8, 8], [-4, -4]]]], [[2, 1, 5, 4, 2], [v = -2^(1/2), u < v,
And(-1 < x,x < 1), y = u^2+x-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, 5, 4, 3], [v = -2^(1/2), u < v, And(-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], [0, 0], [8, 8], [-3/8388608, -3/
8388608]]]], [[2, 1, 5, 4, 4], [v = -2^(1/2), u < v, And(-1 < x,x < 1), y = u^
2+x-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, 5, 4,
5], [v = -2^(1/2), u < v, And(-1 < x,x < 1), y = u^2+x-1, (u^2-1)^(1/2) < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [0, 0], [8, 8],
[4, 4]]]], [[3, 4, 5, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), 
And(0 < x,x < 1), And(-x < y,y < x), z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [1/2, 1/2], [0
, 0], [-1, -1]]]], [[3, 4, 5, 3, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(
1/2), And(0 < x,x < 1), And(-x < y,y < x), z = 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [1/2, 1/2], [0
, 0], [0, 0]]]], [[3, 4, 5, 3, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/
2), And(0 < x,x < 1), And(-x < y,y < x), 0 < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [1/2, 1/2], [0
, 0], [1, 1]]]], [[3, 9, 3, 4, 1], [And(-2^(1/2) < v,v < -1), -v < 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, 9, 3, 4, 2], [
And(-2^(1/2) < v,v < -1), -v < 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, 9, 3, 4, 3], [And(-2^(
1/2) < v,v < -1), -v < 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, 9, 3, 4,
4], [And(-2^(1/2) < v,v < -1), -v < 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, 9, 3, 4, 5], [And
(-2^(1/2) < v,v < -1), -v < 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]]]], [[5, 3, 5, 5, 1], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^
2+v^2-1 < x,x < 1), u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain,
[[-1/2, -1/2], [0, 0], [1/8, 1/8], [2, 2], [-2, -2]]]], [[5, 3, 5, 5, 2], [And
(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 1), u^2-v^2+x+1 < y,
z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [1/8, 1/8], [2
, 2], [-1816187/2097152, -3632373/4194304]]]], [[5, 3, 5, 5, 3], [And(-1 < v,v
< 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 1), u^2-v^2+x+1 < y, 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], [1/8, 1/8], [2, 2], [-1/8388608, -1/8388608]]]], [[5, 3, 5, 5, 4], [And(-1
< v,v < 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 1), u^2-v^2+x+1 < y, z =
(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [1/8, 1/8], [2, 2],
[908093/1048576, 454047/524288]]]], [[5, 3, 5, 5, 5], [And(-1 < v,v < 0), And(
v < u,u < -v), And(-u^2+v^2-1 < x,x < 1), u^2-v^2+x+1 < y, (u^2-v^2+1)^(1/2) <
z], [regular_chain, [[-1/2, -1/2], [0, 0], [1/8, 1/8], [2, 2], [2, 2]]]], [[6,
3, 6, 1, 1], [v = 0, 0 < u, x = 1, y < -u^2-2, z < -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [1, 1], [-4, -4], [-3, -3]]]], [[6, 3, 6, 1, 2
], [v = 0, 0 < u, x = 1, y < -u^2-2, z = -(u^2+1)^(1/2)], [regular_chain, [[0,
0], [1, 1], [1, 1], [-4, -4], [-1482911/1048576, -741455/524288]]]], [[6, 3, 6
, 1, 3], [v = 0, 0 < u, x = 1, y < -u^2-2, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^
(1/2))], [regular_chain, [[0, 0], [1, 1], [1, 1], [-4, -4], [0, 0]]]], [[6, 3,
6, 1, 4], [v = 0, 0 < u, x = 1, y < -u^2-2, z = (u^2+1)^(1/2)], [regular_chain
, [[0, 0], [1, 1], [1, 1], [-4, -4], [741455/524288, 1482911/1048576]]]], [[6,
3, 6, 1, 5], [v = 0, 0 < u, x = 1, y < -u^2-2, (u^2+1)^(1/2) < z], [
regular_chain, [[0, 0], [1, 1], [1, 1], [-4, -4], [3, 3]]]], [[9, 2, 5, 5, 1],
[And(1 < v,v < 2^(1/2)), u = -v, 1 < x, x+1 < y, z < -1], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2
], [4, 4], [-2, -2]]]], [[9, 2, 5, 5, 2], [And(1 < v,v < 2^(1/2)), u = -v, 1 <
x, x+1 < y, z = -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [2, 2], [4, 4], [-1, -1]]]], [[9, 2, 5, 5,
3], [And(1 < v,v < 2^(1/2)), u = -v, 1 < x, x+1 < y, And(-1 < z,z < 1)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [4, 4], [0, 0]]]], [[9, 2, 5, 5, 4], [And(1 < v,v <
2^(1/2)), u = -v, 1 < x, x+1 < y, z = 1], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [4, 4], [1, 1]
]]], [[9, 2, 5, 5, 5], [And(1 < v,v < 2^(1/2)), u = -v, 1 < x, x+1 < y, 1 < z]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [4, 4], [2, 2]]]], [[9, 7, 3, 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],
[149551/524288, 299103/1048576], [-2, -2]]]], [[9, 7, 3, 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],
[149551/524288, 299103/1048576], [-1374407/2097152, -687203/1048576]]]], [[9,
7, 3, 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], [149551/524288, 299103/
1048576], [0, 0]]]], [[9, 7, 3, 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], [149551/524288, 299103/
1048576], [687203/1048576, 171801/262144]]]], [[9, 7, 3, 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],
[149551/524288, 299103/1048576], [2, 2]]]], [[10, 1, 4, 3, 1], [v = 2^(1/2), u
< -v, x = -1, And(-u^2+2 < y,y < u^2-2), z < -(u^2-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [0, 0], [-4, -4]]]], [[
10, 1, 4, 3, 2], [v = 2^(1/2), u < -v, x = -1, And(-u^2+2 < y,y < u^2-2), z =
-(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3],
[-1, -1], [0, 0], [-2965821/1048576, -11863283/4194304]]]], [[10, 1, 4, 3, 3],
[v = 2^(1/2), u < -v, x = -1, And(-u^2+2 < y,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], [0, 0], [-3/8388608, -3/8388608]]]], [[10, 1, 4, 3, 4], [v = 2^
(1/2), u < -v, x = -1, And(-u^2+2 < y,y < u^2-2), z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [0, 0],
[741455/262144, 2965821/1048576]]]], [[10, 1, 4, 3, 5], [v = 2^(1/2), u < -v,
x = -1, And(-u^2+2 < y,y < u^2-2), (u^2-1)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [0, 0], [4, 4]]]], [[10,
6, 2, 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]]]], [[11,
9, 4, 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]]]], [[1, 2, 3, 3, 1], [v
< -2^(1/2), u = v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z < -1], [
regular_chain, [[-3, -3], [-3, -3], [0, 0], [0, 0], [-2, -2]]]], [[1, 2, 3, 3,
2], [v < -2^(1/2), u = v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z = -1], [
regular_chain, [[-3, -3], [-3, -3], [0, 0], [0, 0], [-1, -1]]]], [[1, 2, 3, 3,
3], [v < -2^(1/2), u = v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), And(-1 < z
,z < 1)], [regular_chain, [[-3, -3], [-3, -3], [0, 0], [0, 0], [0, 0]]]], [[1,
2, 3, 3, 4], [v < -2^(1/2), u = v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z
= 1], [regular_chain, [[-3, -3], [-3, -3], [0, 0], [0, 0], [1, 1]]]], [[1, 2,
3, 3, 5], [v < -2^(1/2), u = v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), 1 <
z], [regular_chain, [[-3, -3], [-3, -3], [0, 0], [0, 0], [2, 2]]]], [[1, 7, 3,
2, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x
< 1), y = u^2-v^2+x+1, z = z], [regular_chain, [[-3, -3], [0, 0], [0, 0], [-8,
-8], [0, 0]]]], [[2, 8, 3, 3, 1], [v = -2^(1/2), u = 1, And(-1 < x,x < 0), And
(x < y,y < -x), z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [
1, 1], [-1/2, -1/2], [0, 0], [-1, -1]]]], [[2, 8, 3, 3, 2], [v = -2^(1/2), u =
1, And(-1 < x,x < 0), And(x < y,y < -x), z = 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [-1/2, -1/2], [0, 0], [0, 0]]]], [[2, 8, 3,
3, 3], [v = -2^(1/2), u = 1, And(-1 < x,x < 0), And(x < y,y < -x), 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1/2, -1/2], [0,
0], [1, 1]]]], [[3, 2, 1, 4, 1], [And(-2^(1/2) < v,v < -1), u = v, x < -1, y =
-1-x, z < -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [-2, -2], [1, 1], [-2, -2]]]], [[3, 2, 1,
4, 2], [And(-2^(1/2) < v,v < -1), u = v, x < -1, y = -1-x, z = -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [1, 1], [-1, -1]]]], [[3, 2, 1, 4, 3], [And(-2^(1/
2) < v,v < -1), u = v, x < -1, y = -1-x, And(-1 < z,z < 1)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-\
2, -2], [1, 1], [0, 0]]]], [[3, 2, 1, 4, 4], [And(-2^(1/2) < v,v < -1), u = v,
x < -1, y = -1-x, z = 1], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-1265743/1048576, -1265743/1048576], [-2, -2], [1, 1], [1, 1]]]], [[3, 2,
1, 4, 5], [And(-2^(1/2) < v,v < -1), u = v, x < -1, y = -1-x, 1 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [1, 1], [2, 2]]]], [[4, 3, 3, 3, 1], [v = -1, And(
-1 < u,u < 0), And(-1 < x,x < -u^2), And(u^2+x < y,y < -u^2-x), z < u], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [0, 0], [-2, -2]]]], [[4
, 3, 3, 3, 2], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(u^2+x < y
,y < -u^2-x), z = u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [
0, 0], [-1/2, -1/2]]]], [[4, 3, 3, 3, 3], [v = -1, And(-1 < u,u < 0), And(-1 <
x,x < -u^2), And(u^2+x < y,y < -u^2-x), And(u < z,z < -u)], [regular_chain, [[
-1, -1], [-1/2, -1/2], [-5/8, -5/8], [0, 0], [0, 0]]]], [[4, 3, 3, 3, 4], [v =
-1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(u^2+x < y,y < -u^2-x), z = -u
], [regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [0, 0], [1/2, 1/2]]]
], [[4, 3, 3, 3, 5], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(u^2
+x < y,y < -u^2-x), -u < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -\
5/8], [0, 0], [2, 2]]]], [[5, 1, 1, 4, 1], [And(-1 < v,v < 0), 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], [-2, -2], [-6, -6], [5/4, 5/4], [-4, -4]]]], [[5, 1, 1, 4, 2], [And(-1 < v
,v < 0), 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], [-2, -2], [-6, -6], [5/4, 5/4], [-2285319/
1048576, -1142659/524288]]]], [[5, 1, 1, 4, 3], [And(-1 < v,v < 0), 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], [-2, -2], [-6, -6], [5/4, 5/4], [0, 0]]]],
[[5, 1, 1, 4, 4], [And(-1 < v,v < 0), 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], [-2, -2], [-6, -6], [5/
4, 5/4], [1142659/524288, 2285319/1048576]]]], [[5, 1, 1, 4, 5], [And(-1 < v,v
< 0), 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], [-2, -2], [-6, -6], [5/4, 5/4], [4, 4]]]], [[8,
2, 4, 2, 1], [v = 1, u = -1, x = 1, y = -2, z < -1], [regular_chain, [[1, 1],
[-1, -1], [1, 1], [-2, -2], [-2, -2]]]], [[8, 2, 4, 2, 2], [v = 1, u = -1, x =
1, y = -2, z = -1], [regular_chain, [[1, 1], [-1, -1], [1, 1], [-2, -2], [-1,
-1]]]], [[8, 2, 4, 2, 3], [v = 1, u = -1, x = 1, y = -2, And(-1 < z,z < 1)], [
regular_chain, [[1, 1], [-1, -1], [1, 1], [-2, -2], [0, 0]]]], [[8, 2, 4, 2, 4
], [v = 1, u = -1, x = 1, y = -2, z = 1], [regular_chain, [[1, 1], [-1, -1], [
1, 1], [-2, -2], [1, 1]]]], [[8, 2, 4, 2, 5], [v = 1, u = -1, x = 1, y = -2, 1
< z], [regular_chain, [[1, 1], [-1, -1], [1, 1], [-2, -2], [2, 2]]]], [[8, 7,
4, 3, 1], [v = 1, 1 < u, x = -1, And(-u^2+1 < y,y < u^2-1), z < -u], [
regular_chain, [[1, 1], [2, 2], [-1, -1], [0, 0], [-3, -3]]]], [[8, 7, 4, 3, 2
], [v = 1, 1 < u, x = -1, And(-u^2+1 < y,y < u^2-1), z = -u], [regular_chain,
[[1, 1], [2, 2], [-1, -1], [0, 0], [-2, -2]]]], [[8, 7, 4, 3, 3], [v = 1, 1 <
u, x = -1, And(-u^2+1 < y,y < u^2-1), And(-u < z,z < u)], [regular_chain, [[1,
1], [2, 2], [-1, -1], [0, 0], [0, 0]]]], [[8, 7, 4, 3, 4], [v = 1, 1 < u, x =
-1, And(-u^2+1 < y,y < u^2-1), z = u], [regular_chain, [[1, 1], [2, 2], [-1, -\
1], [0, 0], [2, 2]]]], [[8, 7, 4, 3, 5], [v = 1, 1 < u, x = -1, And(-u^2+1 < y
,y < u^2-1), u < z], [regular_chain, [[1, 1], [2, 2], [-1, -1], [0, 0], [3, 3]
]]], [[10, 8, 6, 1, 1], [v = 2^(1/2), u = 1, x = 1, y < -1, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1, 1], [-2, -2], [-\
1, -1]]]], [[10, 8, 6, 1, 2], [v = 2^(1/2), u = 1, x = 1, y < -1, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1, 1], [-2, -2], [0
, 0]]]], [[10, 8, 6, 1, 3], [v = 2^(1/2), u = 1, x = 1, y < -1, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1, 1], [-2, -2], [1
, 1]]]], [[11, 2, 4, 2, 1], [2^(1/2) < v, u = -v, x = 1, y = -2, z < -1], [
regular_chain, [[3, 3], [-3, -3], [1, 1], [-2, -2], [-2, -2]]]], [[11, 2, 4, 2
, 2], [2^(1/2) < v, u = -v, x = 1, y = -2, z = -1], [regular_chain, [[3, 3], [
-3, -3], [1, 1], [-2, -2], [-1, -1]]]], [[11, 2, 4, 2, 3], [2^(1/2) < v, u = -
v, x = 1, y = -2, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [-3, -3], [1, 1
], [-2, -2], [0, 0]]]], [[11, 2, 4, 2, 4], [2^(1/2) < v, u = -v, x = 1, y = -2
, z = 1], [regular_chain, [[3, 3], [-3, -3], [1, 1], [-2, -2], [1, 1]]]], [[11
, 2, 4, 2, 5], [2^(1/2) < v, u = -v, x = 1, y = -2, 1 < z], [regular_chain, [[
3, 3], [-3, -3], [1, 1], [-2, -2], [2, 2]]]], [[1, 9, 7, 2, 1], [v < -2^(1/2),
And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = z], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [2, 2], [-391029/
262144, -1564115/1048576], [0, 0]]]], [[2, 1, 5, 3, 1], [v = -2^(1/2), u < v,
And(-1 < x,x < 1), And(-u^2-x+1 < y,y < u^2+x-1), z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [0, 0], [0, 0],
[-4, -4]]]], [[2, 1, 5, 3, 2], [v = -2^(1/2), u < v, And(-1 < x,x < 1), And(-u
^2-x+1 < y,y < u^2+x-1), z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [0, 0], [0, 0], [-2965821/1048576, -\
11863283/4194304]]]], [[2, 1, 5, 3, 3], [v = -2^(1/2), u < v, And(-1 < x,x < 1
), And(-u^2-x+1 < y,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], [0, 0], [0, 0],
[-3/8388608, -3/8388608]]]], [[2, 1, 5, 3, 4], [v = -2^(1/2), u < v, And(-1 <
x,x < 1), And(-u^2-x+1 < y,y < u^2+x-1), z = (u^2-1)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-3, -3], [0, 0], [0, 0], [741455/262144,
2965821/1048576]]]], [[2, 1, 5, 3, 5], [v = -2^(1/2), u < v, And(-1 < x,x < 1)
, And(-u^2-x+1 < y,y < u^2+x-1), (u^2-1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [0, 0], [0, 0], [4, 4]]]], [[3, 4,
5, 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, 4, 5, 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, 4, 5, 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]]]], [[3, 9, 3, 5, 1], [And(-2^(
1/2) < v,v < -1), -v < u, And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, z < -(u
^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3
], [-10006449/2097152, -10006449/2097152], [5, 5], [-4, -4]]]], [[3, 9, 3, 5,
2], [And(-2^(1/2) < v,v < -1), -v < u, And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1
< y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [5, 5], [-1532401/
524288, -24518415/8388608]]]], [[3, 9, 3, 5, 3], [And(-2^(1/2) < v,v < -1), -v
< u, And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, 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], [5, 5], [-7/16777216, -7/
16777216]]]], [[3, 9, 3, 5, 4], [And(-2^(1/2) < v,v < -1), -v < u, And(-u^2+v^
2-1 < x,x < -1), u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [-10006449/2097152, -10006449/
2097152], [5, 5], [3064801/1048576, 1532401/524288]]]], [[3, 9, 3, 5, 5], [And
(-2^(1/2) < v,v < -1), -v < u, And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, (u
^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
3, 3], [-10006449/2097152, -10006449/2097152], [5, 5], [4, 4]]]], [[5, 3, 5, 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], [1/
8, 1/8], [7/8, 7/8], [-2, -2]]]], [[5, 3, 5, 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], [1/8, 1/8], [7/8, 7/8], [-1816187/
2097152, -3632373/4194304]]]], [[5, 3, 5, 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], [1/8, 1/8],
[7/8, 7/8], [-1/8388608, -1/8388608]]]], [[5, 3, 5, 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], [1/8, 1/8], [7/8, 7/8], [
908093/1048576, 454047/524288]]]], [[5, 3, 5, 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], [1/8, 1/8], [7/8, 7/8], [2, 2]]]], [
[6, 3, 5, 5, 1], [v = 0, 0 < u, And(-1 < x,x < 1), u^2+x+1 < y, z < -(u^2+1)^(
1/2)], [regular_chain, [[0, 0], [1, 1], [0, 0], [3, 3], [-3, -3]]]], [[6, 3, 5
, 5, 2], [v = 0, 0 < u, And(-1 < x,x < 1), u^2+x+1 < y, z = -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [0, 0], [3, 3], [-1482911/1048576, -741455/
524288]]]], [[6, 3, 5, 5, 3], [v = 0, 0 < u, And(-1 < x,x < 1), u^2+x+1 < y, 
And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [1, 1], [
0, 0], [3, 3], [0, 0]]]], [[6, 3, 5, 5, 4], [v = 0, 0 < u, And(-1 < x,x < 1),
u^2+x+1 < y, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [0, 0], [3,
3], [741455/524288, 1482911/1048576]]]], [[6, 3, 5, 5, 5], [v = 0, 0 < u, And(
-1 < x,x < 1), u^2+x+1 < y, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1, 1
], [0, 0], [3, 3], [3, 3]]]], [[9, 3, 1, 1, 1], [And(1 < v,v < 2^(1/2)), And(-
v < u,u < -(v^2-1)^(1/2)), x < -1, y < u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2, -2], [-3, -3], [-2, -2]]]], [[9, 3, 1, 1, 2], [And(1 <
v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < -1, y < u^2-v^2+x+1, z = -
(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-2, -2], [-3, -3], [-1374407/2097152, -\
687203/1048576]]]], [[9, 3, 1, 1, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u <
-(v^2-1)^(1/2)), x < -1, y < u^2-v^2+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], [-3, -3], [0, 0]]]], [[9, 3, 1, 1, 4],
[And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < -1, y < u^2-v^2+x
+1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-3949363/4194304, -3949363/4194304], [-2, -2], [-3, -3], [687203/1048576,
171801/262144]]]], [[9, 3, 1, 1, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -
(v^2-1)^(1/2)), x < -1, y < u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2, -2], [-3, -3], [2, 2]]]], [[9, 7, 3, 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), -u^2+v
^2-x-1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/
524288], [2, 2], [-2, -2]]]], [[9, 7, 3, 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), -u^2+v^2-x-1 < y, z = -(u
^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341
/1048576, 987341/1048576], [-374737/524288, -374737/524288], [2, 2], [-1374407
/2097152, -687203/1048576]]]], [[9, 7, 3, 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), -u^2+v^2-x-1 < y, 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], [2, 2], [0, 0]]]], [[9, 7, 3, 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), -u^2+v^2-x-1 < y, z
= (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-374737/524288, -374737/524288], [2, 2], [
687203/1048576, 171801/262144]]]], [[9, 7, 3, 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), -u^2+v^2-x-1 < y, (u
^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-374737/524288, -374737/524288], [2, 2], [2,
2]]]], [[10, 1, 4, 2, 1], [v = 2^(1/2), u < -v, x = -1, y = -u^2+2, z < -(u^2-\
1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1, -\
1], [-7, -7], [-4, -4]]]], [[10, 1, 4, 2, 2], [v = 2^(1/2), u < -v, x = -1, y
= -u^2+2, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [-1, -1], [-7, -7], [-2965821/1048576, -11863283/4194304]]
]], [[10, 1, 4, 2, 3], [v = 2^(1/2), u < -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], [-3, -3], [-1, -1], [-7, -7], [-3/8388608, -3/8388608]]]], [[10, 1,
4, 2, 4], [v = 2^(1/2), u < -v, x = -1, y = -u^2+2, z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [-7, -7]
, [741455/262144, 2965821/1048576]]]], [[10, 1, 4, 2, 5], [v = 2^(1/2), u < -v
, 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, 6, 2, 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]]]], [[11, 9, 4, 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]]]], [[1, 2, 4, 1, 1], [v < -2^(1/2), u
= v, x = 1, y < -2, z < -1], [regular_chain, [[-3, -3], [-3, -3], [1, 1], [-3,
-3], [-2, -2]]]], [[1, 2, 4, 1, 2], [v < -2^(1/2), u = v, x = 1, y < -2, z = -\
1], [regular_chain, [[-3, -3], [-3, -3], [1, 1], [-3, -3], [-1, -1]]]], [[1, 2
, 4, 1, 3], [v < -2^(1/2), u = v, x = 1, y < -2, And(-1 < z,z < 1)], [
regular_chain, [[-3, -3], [-3, -3], [1, 1], [-3, -3], [0, 0]]]], [[1, 2, 4, 1,
4], [v < -2^(1/2), u = v, x = 1, y < -2, z = 1], [regular_chain, [[-3, -3], [-\
3, -3], [1, 1], [-3, -3], [1, 1]]]], [[1, 2, 4, 1, 5], [v < -2^(1/2), u = v, x
= 1, y < -2, 1 < z], [regular_chain, [[-3, -3], [-3, -3], [1, 1], [-3, -3], [2
, 2]]]], [[1, 7, 3, 1, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(
1/2)), And(-1 < x,x < 1), y < u^2-v^2+x+1, z = z], [regular_chain, [[-3, -3],
[0, 0], [0, 0], [-9, -9], [0, 0]]]], [[2, 8, 3, 4, 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, 3, 4, 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, 3, 4, 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]]]], [[3, 2, 1, 1, 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], [-2, -2], [-2, -2]]]], [[3, 2, 1
, 1, 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], [-2, -2], [-1, -1]]]], [[3, 2, 1, 1, 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], [-2, -2], [0, 0]]]], [[3, 2, 1, 1, 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], [-2, -2], [1, 1]]]],
[[3, 2, 1, 1, 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], [-2, -2], [2, 2]]]], [[4, 3, 4, 1, 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], [-1, -1], [-2, -2]]]], [[4, 3, 4, 1, 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], [-1, -1], [-1/2, -1/2]]]], [[4, 3, 4, 1, 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], [-1, -1], [0, 0]]]], [[4, 3, 4, 1, 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], [-1, -1], [1/2, 1/2]]]], [[4, 3, 4, 1, 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], [-1, -1], [2, 2]]]], [[5, 1, 1, 3, 1], [And(-1 < v,v < 0), u < v, x <
-u^2+v^2-1, And(u^2-v^2+x+1 < y,y < -u^2+v^2-x-1), z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-2, -2], [-6, -6], [0, 0], [-4, -4]]]], [[5, 1,
1, 3, 2], [And(-1 < v,v < 0), u < v, x < -u^2+v^2-1, And(u^2-v^2+x+1 < y,y < -
u^2+v^2-x-1), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2]
, [-6, -6], [0, 0], [-2285319/1048576, -1142659/524288]]]], [[5, 1, 1, 3, 3],
[And(-1 < v,v < 0), u < v, x < -u^2+v^2-1, And(u^2-v^2+x+1 < y,y < -u^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], [-2, -2], [-6, -6], [0, 0], [0, 0]]]], [[5, 1, 1, 3, 4], [And(-1 < v,
v < 0), u < v, x < -u^2+v^2-1, And(u^2-v^2+x+1 < y,y < -u^2+v^2-x-1), z = (u^2
-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [-6, -6], [0, 0], [
1142659/524288, 2285319/1048576]]]], [[5, 1, 1, 3, 5], [And(-1 < v,v < 0), u <
v, x < -u^2+v^2-1, And(u^2-v^2+x+1 < y,y < -u^2+v^2-x-1), (u^2-v^2+1)^(1/2) <
z], [regular_chain, [[-1/2, -1/2], [-2, -2], [-6, -6], [0, 0], [4, 4]]]], [[8,
2, 4, 3, 1], [v = 1, u = -1, x = 1, And(-2 < y,y < 2), z < -1], [regular_chain
, [[1, 1], [-1, -1], [1, 1], [0, 0], [-2, -2]]]], [[8, 2, 4, 3, 2], [v = 1, u
= -1, x = 1, And(-2 < y,y < 2), z = -1], [regular_chain, [[1, 1], [-1, -1], [1
, 1], [0, 0], [-1, -1]]]], [[8, 2, 4, 3, 3], [v = 1, u = -1, x = 1, And(-2 < y
,y < 2), And(-1 < z,z < 1)], [regular_chain, [[1, 1], [-1, -1], [1, 1], [0, 0]
, [0, 0]]]], [[8, 2, 4, 3, 4], [v = 1, u = -1, x = 1, And(-2 < y,y < 2), z = 1
], [regular_chain, [[1, 1], [-1, -1], [1, 1], [0, 0], [1, 1]]]], [[8, 2, 4, 3,
5], [v = 1, u = -1, x = 1, And(-2 < y,y < 2), 1 < z], [regular_chain, [[1, 1],
[-1, -1], [1, 1], [0, 0], [2, 2]]]], [[8, 7, 3, 5, 1], [v = 1, 1 < u, And(-u^2
< x,x < -1), u^2+x < y, z < -u], [regular_chain, [[1, 1], [2, 2], [-5/2, -5/2]
, [3, 3], [-3, -3]]]], [[8, 7, 3, 5, 2], [v = 1, 1 < u, And(-u^2 < x,x < -1),
u^2+x < y, z = -u], [regular_chain, [[1, 1], [2, 2], [-5/2, -5/2], [3, 3], [-2
, -2]]]], [[8, 7, 3, 5, 3], [v = 1, 1 < u, And(-u^2 < x,x < -1), u^2+x < y, 
And(-u < z,z < u)], [regular_chain, [[1, 1], [2, 2], [-5/2, -5/2], [3, 3], [0,
0]]]], [[8, 7, 3, 5, 4], [v = 1, 1 < u, And(-u^2 < x,x < -1), u^2+x < y, z = u
], [regular_chain, [[1, 1], [2, 2], [-5/2, -5/2], [3, 3], [2, 2]]]], [[8, 7, 3
, 5, 5], [v = 1, 1 < u, And(-u^2 < x,x < -1), u^2+x < y, u < z], [
regular_chain, [[1, 1], [2, 2], [-5/2, -5/2], [3, 3], [3, 3]]]], [[10, 8, 6, 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, 6, 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, 6, 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]]]], [[11, 2, 4, 1, 1], [2^(1/2) < v,
u = -v, x = 1, y < -2, z < -1], [regular_chain, [[3, 3], [-3, -3], [1, 1], [-3
, -3], [-2, -2]]]], [[11, 2, 4, 1, 2], [2^(1/2) < v, u = -v, x = 1, y < -2, z
= -1], [regular_chain, [[3, 3], [-3, -3], [1, 1], [-3, -3], [-1, -1]]]], [[11,
2, 4, 1, 3], [2^(1/2) < v, u = -v, x = 1, y < -2, And(-1 < z,z < 1)], [
regular_chain, [[3, 3], [-3, -3], [1, 1], [-3, -3], [0, 0]]]], [[11, 2, 4, 1,
4], [2^(1/2) < v, u = -v, x = 1, y < -2, z = 1], [regular_chain, [[3, 3], [-3,
-3], [1, 1], [-3, -3], [1, 1]]]], [[11, 2, 4, 1, 5], [2^(1/2) < v, u = -v, x =
1, y < -2, 1 < z], [regular_chain, [[3, 3], [-3, -3], [1, 1], [-3, -3], [2, 2]
]]], [[1, 9, 7, 5, 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 = z], [regular_chain, [[-3, -3], [1435023/524288,
1435023/524288], [2, 2], [3, 3], [0, 0]]]], [[2, 1, 5, 2, 1], [v = -2^(1/2), u
< v, And(-1 < x,x < 1), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [0, 0], [-8, -8], [-4, -4]]]], [[2
, 1, 5, 2, 2], [v = -2^(1/2), u < v, And(-1 < x,x < 1), y = -u^2-x+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, 5, 2, 3], [v
= -2^(1/2), u < v, And(-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]
, [0, 0], [-8, -8], [-3/8388608, -3/8388608]]]], [[2, 1, 5, 2, 4], [v = -2^(1/
2), u < v, And(-1 < x,x < 1), y = -u^2-x+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, 5, 2, 5], [v = -2^(1/2), u < v, And(-1 <
x,x < 1), y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576
, -741455/524288], [-3, -3], [0, 0], [-8, -8], [4, 4]]]], [[3, 4, 5, 5, 1], [
And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(0 < x,x < 1), x < y, z < 0],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [1/2, 1/2], [2, 2], [-1, -1]]]], [[3, 4, 5, 5, 2], [And(-2^(1/
2) < v,v < -1), u = -(v^2-1)^(1/2), And(0 < x,x < 1), x < y, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [1/2, 1/2], [2, 2], [0, 0]]]], [[3, 4, 5, 5, 3], [And(-2^(1/2)
< v,v < -1), u = -(v^2-1)^(1/2), And(0 < x,x < 1), x < y, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [1/2, 1/2], [2, 2], [1, 1]]]], [[3, 9, 3, 2, 1], [And(-2^(1/2)
< v,v < -1), -v < u, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z < -(u^2-v
^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [
-10006449/2097152, -10006449/2097152], [-3954649/1048576, -15818595/4194304],
[-4, -4]]]], [[3, 9, 3, 2, 2], [And(-2^(1/2) < v,v < -1), -v < u, And(-u^2+v^2
-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [-10006449/2097152, -10006449/
2097152], [-3954649/1048576, -15818595/4194304], [-1532401/524288, -24518415/
8388608]]]], [[3, 9, 3, 2, 3], [And(-2^(1/2) < v,v < -1), -v < u, And(-u^2+v^2
-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(
1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-\
10006449/2097152, -10006449/2097152], [-3954649/1048576, -15818595/4194304], [
-7/16777216, -7/16777216]]]], [[3, 9, 3, 2, 4], [And(-2^(1/2) < v,v < -1), -v
< u, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10006449/
2097152, -10006449/2097152], [-3954649/1048576, -15818595/4194304], [3064801/
1048576, 1532401/524288]]]], [[3, 9, 3, 2, 5], [And(-2^(1/2) < v,v < -1), -v <
u, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10006449/
2097152, -10006449/2097152], [-3954649/1048576, -15818595/4194304], [4, 4]]]],
[[5, 3, 6, 2, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x = 1, y = -u^2+v^2-2
, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [-7/
4, -7/4], [-2, -2]]]], [[5, 3, 6, 2, 2], [And(-1 < v,v < 0), And(v < u,u < -v)
, x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2
], [0, 0], [1, 1], [-7/4, -7/4], [-1816187/2097152, -3632373/4194304]]]], [[5,
3, 6, 2, 3], [And(-1 < v,v < 0), And(v < u,u < -v), x = 1, y = -u^2+v^2-2, And
(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2]
, [0, 0], [1, 1], [-7/4, -7/4], [-1/8388608, -1/8388608]]]], [[5, 3, 6, 2, 4],
[And(-1 < v,v < 0), And(v < u,u < -v), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^
(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [-7/4, -7/4], [908093/
1048576, 454047/524288]]]], [[5, 3, 6, 2, 5], [And(-1 < v,v < 0), And(v < u,u
< -v), x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2,
-1/2], [0, 0], [1, 1], [-7/4, -7/4], [2, 2]]]], [[6, 3, 5, 4, 1], [v = 0, 0 <
u, And(-1 < x,x < 1), y = u^2+x+1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0
], [1, 1], [0, 0], [2, 2], [-3, -3]]]], [[6, 3, 5, 4, 2], [v = 0, 0 < u, And(-\
1 < x,x < 1), y = u^2+x+1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1
], [0, 0], [2, 2], [-1482911/1048576, -741455/524288]]]], [[6, 3, 5, 4, 3], [v
= 0, 0 < u, And(-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, 1], [0, 0], [2, 2], [0, 0]]]], [[6, 3,
5, 4, 4], [v = 0, 0 < u, And(-1 < x,x < 1), y = u^2+x+1, z = (u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [0, 0], [2, 2], [741455/524288, 1482911/
1048576]]]], [[6, 3, 5, 4, 5], [v = 0, 0 < u, And(-1 < x,x < 1), y = u^2+x+1,
(u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [0, 0], [2, 2], [3, 3]]]]
, [[9, 3, 1, 2, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x
< -1, y = u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2, -2], [-\
3293563/2097152, -1646781/1048576], [-2, -2]]]], [[9, 3, 1, 2, 2], [And(1 < v,
v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < -1, y = u^2-v^2+x+1, z = -(u
^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-2, -2], [-3293563/2097152, -1646781/
1048576], [-1374407/2097152, -687203/1048576]]]], [[9, 3, 1, 2, 3], [And(1 < v
,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < -1, y = u^2-v^2+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], [-\
3293563/2097152, -1646781/1048576], [0, 0]]]], [[9, 3, 1, 2, 4], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < -1, y = u^2-v^2+x+1, z = (u^2-
v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-2, -2], [-3293563/2097152, -1646781/1048576], [
687203/1048576, 171801/262144]]]], [[9, 3, 1, 2, 5], [And(1 < v,v < 2^(1/2)),
And(-v < u,u < -(v^2-1)^(1/2)), x < -1, y = u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2, -2], [-3293563/2097152, -1646781/1048576], [2, 2]]]], [
[9, 7, 3, 2, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1
< x,x < -u^2+v^2-1), y = u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-\
374737/524288, -374737/524288], [-299103/1048576, -149551/524288], [-2, -2]]]]
, [[9, 7, 3, 2, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And
(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-374737/524288, -374737/524288], [-299103/1048576, -149551/524288],
[-1374407/2097152, -687203/1048576]]]], [[9, 7, 3, 2, 3], [And(1 < v,v < 2^(1/
2)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1
, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-374737/
524288, -374737/524288], [-299103/1048576, -149551/524288], [0, 0]]]], [[9, 7,
3, 2, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x
< -u^2+v^2-1), y = u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-374737/
524288, -374737/524288], [-299103/1048576, -149551/524288], [687203/1048576, 
171801/262144]]]], [[9, 7, 3, 2, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2
) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1, (u^2-v^2+1)^(1/2) <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [-374737/524288, -374737/524288], [-299103/1048576, -149551/
524288], [2, 2]]]], [[10, 1, 4, 5, 1], [v = 2^(1/2), u < -v, x = -1, u^2-2 < y
, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3,
-3], [-1, -1], [8, 8], [-4, -4]]]], [[10, 1, 4, 5, 2], [v = 2^(1/2), u < -v, x
= -1, u^2-2 < y, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [-3, -3], [-1, -1], [8, 8], [-2965821/1048576, -11863283/4194304]]]
], [[10, 1, 4, 5, 3], [v = 2^(1/2), u < -v, x = -1, u^2-2 < y, And(-(u^2-1)^(1
/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576]
, [-3, -3], [-1, -1], [8, 8], [-3/8388608, -3/8388608]]]], [[10, 1, 4, 5, 4],
[v = 2^(1/2), u < -v, x = -1, u^2-2 < y, z = (u^2-1)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [8, 8], [741455/262144,
2965821/1048576]]]], [[10, 1, 4, 5, 5], [v = 2^(1/2), u < -v, x = -1, u^2-2 <
y, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-3,
-3], [-1, -1], [8, 8], [4, 4]]]], [[10, 6, 1, 5, 1], [v = 2^(1/2), u = 0, x <
-1, -x+1 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0
], [-2, -2], [4, 4], [0, 0]]]], [[11, 9, 4, 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, 0 < y, z = z], [regular_chain, [[
3, 3], [1435023/524288, 1435023/524288], [133259/262144, 533037/1048576], [1,
1], [0, 0]]]], [[1, 2, 3, 5, 1], [v < -2^(1/2), u = v, And(-1 < x,x < 1), x+1
< y, z < -1], [regular_chain, [[-3, -3], [-3, -3], [0, 0], [2, 2], [-2, -2]]]]
, [[1, 2, 3, 5, 2], [v < -2^(1/2), u = v, And(-1 < x,x < 1), x+1 < y, z = -1],
[regular_chain, [[-3, -3], [-3, -3], [0, 0], [2, 2], [-1, -1]]]], [[1, 2, 3, 5
, 3], [v < -2^(1/2), u = v, And(-1 < x,x < 1), x+1 < y, And(-1 < z,z < 1)], [
regular_chain, [[-3, -3], [-3, -3], [0, 0], [2, 2], [0, 0]]]], [[1, 2, 3, 5, 4
], [v < -2^(1/2), u = v, And(-1 < x,x < 1), x+1 < y, z = 1], [regular_chain, [
[-3, -3], [-3, -3], [0, 0], [2, 2], [1, 1]]]], [[1, 2, 3, 5, 5], [v < -2^(1/2)
, u = v, And(-1 < x,x < 1), x+1 < y, 1 < z], [regular_chain, [[-3, -3], [-3, -\
3], [0, 0], [2, 2], [2, 2]]]], [[1, 7, 2, 5, 1], [v < -2^(1/2), And(-(v^2-2)^(
1/2) < u,u < (v^2-2)^(1/2)), x = -1, -u^2+v^2 < y, z = z], [regular_chain, [[-\
3, -3], [0, 0], [-1, -1], [10, 10], [0, 0]]]], [[2, 8, 3, 5, 1], [v = -2^(1/2)
, u = 1, And(-1 < x,x < 0), -x < y, z < 0], [regular_chain, [[-1482911/1048576
, -741455/524288], [1, 1], [-1/2, -1/2], [2, 2], [-1, -1]]]], [[2, 8, 3, 5, 2]
, [v = -2^(1/2), u = 1, And(-1 < x,x < 0), -x < y, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [-1/2, -1/2], [2, 2], [0, 0]]]], [[2
, 8, 3, 5, 3], [v = -2^(1/2), u = 1, And(-1 < x,x < 0), -x < y, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1/2, -1/2], [2,
2], [1, 1]]]], [[3, 2, 1, 2, 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, 2, 1, 2, 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, 2, 1, 2, 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, 2, 1, 2, 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, 2, 1, 2, 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]]]], [[4, 3, 3, 5, 1], [v = -1, And(-1 < u,u < 0), And(-1
< x,x < -u^2), -u^2-x < y, z < u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-\
5/8, -5/8], [2, 2], [-2, -2]]]], [[4, 3, 3, 5, 2], [v = -1, And(-1 < u,u < 0),
And(-1 < x,x < -u^2), -u^2-x < y, z = u], [regular_chain, [[-1, -1], [-1/2, -1
/2], [-5/8, -5/8], [2, 2], [-1/2, -1/2]]]], [[4, 3, 3, 5, 3], [v = -1, And(-1
< u,u < 0), And(-1 < x,x < -u^2), -u^2-x < y, And(u < z,z < -u)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [2, 2], [0, 0]]]], [[4,
3, 3, 5, 4], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), -u^2-x < y, z =
-u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [2, 2], [1/2, 1/2]
]]], [[4, 3, 3, 5, 5], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), -u^2-
x < y, -u < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [2, 2],
[2, 2]]]], [[5, 1, 1, 2, 1], [And(-1 < v,v < 0), 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], [-2, -2], [
-6, -6], [-5/4, -5/4], [-4, -4]]]], [[5, 1, 1, 2, 2], [And(-1 < v,v < 0), 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], [-2, -2], [-6, -6], [-5/4, -5/4], [-2285319/1048576, -1142659/
524288]]]], [[5, 1, 1, 2, 3], [And(-1 < v,v < 0), 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], [-2, -2], [-6, -6], [-5/4, -5/4], [0, 0]]]], [[5, 1, 1, 2, 4]
, [And(-1 < v,v < 0), 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], [-2, -2], [-6, -6], [-5/4, -5/4], [
1142659/524288, 2285319/1048576]]]], [[5, 1, 1, 2, 5], [And(-1 < v,v < 0), 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], [-2, -2], [-6, -6], [-5/4, -5/4], [4, 4]]]], [[8, 2, 4, 4, 1], [v
= 1, u = -1, x = 1, y = 2, z < -1], [regular_chain, [[1, 1], [-1, -1], [1, 1],
[2, 2], [-2, -2]]]], [[8, 2, 4, 4, 2], [v = 1, u = -1, x = 1, y = 2, z = -1],
[regular_chain, [[1, 1], [-1, -1], [1, 1], [2, 2], [-1, -1]]]], [[8, 2, 4, 4,
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, 2, 4, 4, 4], [v = 1, u = -1, x = 1,
y = 2, z = 1], [regular_chain, [[1, 1], [-1, -1], [1, 1], [2, 2], [1, 1]]]], [
[8, 2, 4, 4, 5], [v = 1, u = -1, x = 1, y = 2, 1 < z], [regular_chain, [[1, 1]
, [-1, -1], [1, 1], [2, 2], [2, 2]]]], [[8, 7, 4, 1, 1], [v = 1, 1 < u, x = -1
, y < -u^2+1, z < -u], [regular_chain, [[1, 1], [2, 2], [-1, -1], [-4, -4], [-\
3, -3]]]], [[8, 7, 4, 1, 2], [v = 1, 1 < u, x = -1, y < -u^2+1, z = -u], [
regular_chain, [[1, 1], [2, 2], [-1, -1], [-4, -4], [-2, -2]]]], [[8, 7, 4, 1,
3], [v = 1, 1 < u, x = -1, y < -u^2+1, And(-u < z,z < u)], [regular_chain, [[1
, 1], [2, 2], [-1, -1], [-4, -4], [0, 0]]]], [[8, 7, 4, 1, 4], [v = 1, 1 < u,
x = -1, y < -u^2+1, z = u], [regular_chain, [[1, 1], [2, 2], [-1, -1], [-4, -4
], [2, 2]]]], [[8, 7, 4, 1, 5], [v = 1, 1 < u, x = -1, y < -u^2+1, u < z], [
regular_chain, [[1, 1], [2, 2], [-1, -1], [-4, -4], [3, 3]]]], [[10, 8, 6, 3,
1], [v = 2^(1/2), u = 1, x = 1, And(-1 < y,y < 1), z < 0], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [1, 1], [0, 0], [-1, -1]]]], [[10, 8,
6, 3, 2], [v = 2^(1/2), u = 1, x = 1, And(-1 < y,y < 1), z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1, 1], [0, 0], [0,
0]]]], [[10, 8, 6, 3, 3], [v = 2^(1/2), u = 1, x = 1, And(-1 < y,y < 1), 0 < z
], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1, 1], [0, 0],
[1, 1]]]], [[11, 2, 3, 5, 1], [2^(1/2) < v, u = -v, And(-1 < x,x < 1), x+1 < y
, z < -1], [regular_chain, [[3, 3], [-3, -3], [0, 0], [2, 2], [-2, -2]]]], [[
11, 2, 3, 5, 2], [2^(1/2) < v, u = -v, And(-1 < x,x < 1), x+1 < y, z = -1], [
regular_chain, [[3, 3], [-3, -3], [0, 0], [2, 2], [-1, -1]]]], [[11, 2, 3, 5,
3], [2^(1/2) < v, u = -v, And(-1 < x,x < 1), x+1 < y, And(-1 < z,z < 1)], [
regular_chain, [[3, 3], [-3, -3], [0, 0], [2, 2], [0, 0]]]], [[11, 2, 3, 5, 4]
, [2^(1/2) < v, u = -v, And(-1 < x,x < 1), x+1 < y, z = 1], [regular_chain, [[
3, 3], [-3, -3], [0, 0], [2, 2], [1, 1]]]], [[11, 2, 3, 5, 5], [2^(1/2) < v, u
= -v, And(-1 < x,x < 1), x+1 < y, 1 < z], [regular_chain, [[3, 3], [-3, -3], [
0, 0], [2, 2], [2, 2]]]], [[1, 9, 7, 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]]]], [[2, 1, 5, 1, 1], [v = -2^(1/2), u < v, And(-1 < x,x < 1), y < -u^2
-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-3, -3], [0, 0], [-9, -9], [-4, -4]]]], [[2, 1, 5, 1, 2], [v = -2^(1/2), u
< v, And(-1 < x,x < 1), y < -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [0, 0], [-9, -9], [-2965821/
1048576, -11863283/4194304]]]], [[2, 1, 5, 1, 3], [v = -2^(1/2), u < v, And(-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], [0, 0], [-9, -9]
, [-3/8388608, -3/8388608]]]], [[2, 1, 5, 1, 4], [v = -2^(1/2), u < v, And(-1
< x,x < 1), y < -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [0, 0], [-9, -9], [741455/262144, 2965821/
1048576]]]], [[2, 1, 5, 1, 5], [v = -2^(1/2), u < v, And(-1 < x,x < 1), y < -u
^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288
], [-3, -3], [0, 0], [-9, -9], [4, 4]]]], [[3, 4, 6, 1, 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], [-2,
-2], [-1, -1]]]], [[3, 4, 6, 1, 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], [-2, -2], [0, 0]]]], [[3
, 4, 6, 1, 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], [-2, -2], [1, 1]]]], [[3, 9, 3, 3, 1], [And(-2^(1/2
) < v,v < -1), -v < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,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], [-3/8388608,
-3/8388608], [-4, -4]]]], [[3, 9, 3, 3, 2], [And(-2^(1/2) < v,v < -1), -v < u,
And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,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], [-3/8388608, -3/8388608], [-1532401/
524288, -24518415/8388608]]]], [[3, 9, 3, 3, 3], [And(-2^(1/2) < v,v < -1), -v
< u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^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], [-\
3/8388608, -3/8388608], [-7/16777216, -7/16777216]]]], [[3, 9, 3, 3, 4], [And(
-2^(1/2) < v,v < -1), -v < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y
,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], [-3/8388608
, -3/8388608], [3064801/1048576, 1532401/524288]]]], [[3, 9, 3, 3, 5], [And(-2
^(1/2) < v,v < -1), -v < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,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], [-3/8388608,
-3/8388608], [4, 4]]]], [[5, 3, 6, 1, 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], [-3, -3], [-2, -2]]]], [[5, 3, 6, 1, 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], [-3, -3], [-1816187/2097152, -\
3632373/4194304]]]], [[5, 3, 6, 1, 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], [-3, -3], [-1/8388608, -1/
8388608]]]], [[5, 3, 6, 1, 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], [-3, -3], [908093/1048576, 454047/524288]]]], [[5, 3, 6, 1, 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], [-3, -3], [2, 2]]]], [[6, 3, 5,
3, 1], [v = 0, 0 < u, And(-1 < x,x < 1), And(-u^2-x-1 < y,y < u^2+x+1), z < -(
u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [0, 0], [0, 0], [-3, -3]]]], [
[6, 3, 5, 3, 2], [v = 0, 0 < u, And(-1 < x,x < 1), And(-u^2-x-1 < y,y < u^2+x+
1), z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [0, 0], [0, 0], [-\
1482911/1048576, -741455/524288]]]], [[6, 3, 5, 3, 3], [v = 0, 0 < u, And(-1 <
x,x < 1), And(-u^2-x-1 < y,y < u^2+x+1), And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1
/2))], [regular_chain, [[0, 0], [1, 1], [0, 0], [0, 0], [0, 0]]]], [[6, 3, 5,
3, 4], [v = 0, 0 < u, And(-1 < x,x < 1), And(-u^2-x-1 < y,y < u^2+x+1), z = (u
^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [0, 0], [0, 0], [741455/524288,
1482911/1048576]]]], [[6, 3, 5, 3, 5], [v = 0, 0 < u, And(-1 < x,x < 1), And(-
u^2-x-1 < y,y < u^2+x+1), (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1, 1],
[0, 0], [0, 0], [3, 3]]]], [[9, 3, 1, 3, 1], [And(1 < v,v < 2^(1/2)), And(-v <
u,u < -(v^2-1)^(1/2)), x < -1, And(u^2-v^2+x+1 < y,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], [0, 0], [-2, -2]]]], [[9, 3, 1,
3, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < -1, And(u^
2-v^2+x+1 < y,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], [0, 0], [-1374407/2097152, -687203/1048576]]]], [[9, 3, 1, 3, 3], [And(1
< v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < -1, And(u^2-v^2+x+1 < y,
y < -u^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], [0, 0], [0, 0]]]], [[9, 3, 1, 3, 4], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < -1, And(u^2-v^2+x+1 < y,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], [0, 0], [
687203/1048576, 171801/262144]]]], [[9, 3, 1, 3, 5], [And(1 < v,v < 2^(1/2)),
And(-v < u,u < -(v^2-1)^(1/2)), x < -1, And(u^2-v^2+x+1 < y,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], [0, 0], [2, 2]]]], [[9, 7, 3, 3
, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u
^2+v^2-1), And(u^2-v^2+x+1 < y,y < -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], [0, 0], [-2, -2]]]], [[9, 7, 3, 3,
2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2
+v^2-1), And(u^2-v^2+x+1 < y,y < -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], [0, 0], [-1374407/2097152, -687203
/1048576]]]], [[9, 7, 3, 3, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u
,u < v), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -u^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], [0, 0], [0, 0]]]], [[9, 7, 3, 3, 4], [And(1 < v,v < 2^(1/2)),
And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,
y < -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], [0, 0], [687203/1048576, 171801/262144]]]], [[9, 7, 3, 3, 5], [And(1
< v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), 
And(u^2-v^2+x+1 < y,y < -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], [0, 0], [2, 2]]]], [[10, 1, 4, 4, 1], [v = 2^(
1/2), u < -v, 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
, 4, 2], [v = 2^(1/2), u < -v, 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, 4, 3], [v = 2^(1/2), 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], [-3, -3], [-1, -1], [7, 7],
[-3/8388608, -3/8388608]]]], [[10, 1, 4, 4, 4], [v = 2^(1/2), u < -v, 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, 4, 5], [v = 2^(1/2), u < -v, 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, 6, 1, 4, 1], [v = 2^(1/2), u = 0, x < -1, y = -x+1, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-2, -2], [3, 3], [0
, 0]]]], [[11, 9, 5, 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], [1581613/2097152, 1581613/2097152], [-\
2, -2], [0, 0]]]], [[1, 10, 1, 2, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -1
, y = x, z < 0], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576],
[-2, -2], [-2, -2], [-1, -1]]]], [[1, 10, 1, 2, 2], [v < -2^(1/2), u = (v^2-1)
^(1/2), x < -1, y = x, z = 0], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [-2, -2], [-2, -2], [0, 0]]]], [[1, 10, 1, 2, 3], [v < -2^(1
/2), u = (v^2-1)^(1/2), x < -1, y = x, 0 < z], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [-2, -2], [-2, -2], [1, 1]]]], [[2, 1, 6, 3,
1], [v = -2^(1/2), u < v, x = 1, And(-u^2 < y,y < u^2), z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [1, 1], [0, 0],
[-4, -4]]]], [[2, 1, 6, 3, 2], [v = -2^(1/2), u < v, x = 1, And(-u^2 < y,y < u
^2), z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-3, -3], [1, 1], [0, 0], [-2965821/1048576, -11863283/4194304]]]], [[2, 1, 6,
3, 3], [v = -2^(1/2), u < v, x = 1, And(-u^2 < y,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], [0, 0], [-3/8388608, -3/8388608]]]], [[2, 1, 6, 3, 4], [v =
-2^(1/2), u < v, x = 1, And(-u^2 < y,y < u^2), z = (u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [1, 1], [0, 0],
[741455/262144, 2965821/1048576]]]], [[2, 1, 6, 3, 5], [v = -2^(1/2), u < v, x
= 1, And(-u^2 < y,y < u^2), (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [1, 1], [0, 0], [4, 4]]]], [[3, 4, 6, 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, 4, 6, 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, 4, 6, 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, 4, 3, 1], [And(-2^(1/2) < v,v < -1), -v < u, x = -1, And(-u^2+v^2 < y,y <
u^2-v^2), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [-1, -1], [0, 0], [-4, -4]]]], [[3, 9, 4, 3, 2], [
And(-2^(1/2) < v,v < -1), -v < u, x = -1, And(-u^2+v^2 < y,y < u^2-v^2), z = -
(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3,
3], [-1, -1], [0, 0], [-1532401/524288, -24518415/8388608]]]], [[3, 9, 4, 3, 3
], [And(-2^(1/2) < v,v < -1), -v < u, x = -1, And(-u^2+v^2 < y,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], [0, 0], [-7/16777216, -7/
16777216]]]], [[3, 9, 4, 3, 4], [And(-2^(1/2) < v,v < -1), -v < u, x = -1, And
(-u^2+v^2 < y,y < u^2-v^2), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [3, 3], [-1, -1], [0, 0], [3064801/1048576, 
1532401/524288]]]], [[3, 9, 4, 3, 5], [And(-2^(1/2) < v,v < -1), -v < u, x = -\
1, And(-u^2+v^2 < y,y < u^2-v^2), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [-1, -1], [0, 0], [4, 4]]]], [[5,
3, 6, 4, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x = 1, y = u^2-v^2+2, z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [7/4, 7/4]
, [-2, -2]]]], [[5, 3, 6, 4, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x = 1,
y = u^2-v^2+2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0],
[1, 1], [7/4, 7/4], [-1816187/2097152, -3632373/4194304]]]], [[5, 3, 6, 4, 3],
[And(-1 < v,v < 0), And(v < u,u < -v), x = 1, y = u^2-v^2+2, And(-(u^2-v^2+1)^
(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [1,
1], [7/4, 7/4], [-1/8388608, -1/8388608]]]], [[5, 3, 6, 4, 4], [And(-1 < v,v <
0), And(v < u,u < -v), x = 1, y = u^2-v^2+2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [7/4, 7/4], [908093/1048576, 
454047/524288]]]], [[5, 3, 6, 4, 5], [And(-1 < v,v < 0), And(v < u,u < -v), x
= 1, y = u^2-v^2+2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0,
0], [1, 1], [7/4, 7/4], [2, 2]]]], [[6, 3, 6, 5, 1], [v = 0, 0 < u, x = 1, u^2
+2 < y, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [1, 1], [4, 4],
[-3, -3]]]], [[6, 3, 6, 5, 2], [v = 0, 0 < u, x = 1, u^2+2 < y, z = -(u^2+1)^(
1/2)], [regular_chain, [[0, 0], [1, 1], [1, 1], [4, 4], [-1482911/1048576, -\
741455/524288]]]], [[6, 3, 6, 5, 3], [v = 0, 0 < u, x = 1, u^2+2 < y, And(-(u^
2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [1, 1], [1, 1], [
4, 4], [0, 0]]]], [[6, 3, 6, 5, 4], [v = 0, 0 < u, x = 1, u^2+2 < y, z = (u^2+
1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [1, 1], [4, 4], [741455/524288, 
1482911/1048576]]]], [[6, 3, 6, 5, 5], [v = 0, 0 < u, x = 1, u^2+2 < y, (u^2+1
)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [1, 1], [4, 4], [3, 3]]]], [[9,
3, 1, 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-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2, -2], [1646781/
1048576, 823391/524288], [-2, -2]]]], [[9, 3, 1, 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-x-1, z = -(u^2-v^2+1)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304
, -3949363/4194304], [-2, -2], [1646781/1048576, 823391/524288], [-1374407/
2097152, -687203/1048576]]]], [[9, 3, 1, 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-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], [1646781/1048576, 823391/
524288], [0, 0]]]], [[9, 3, 1, 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-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2, -2], [1646781/1048576, 823391/524288], [687203/1048576,
171801/262144]]]], [[9, 3, 1, 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-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2, -2], [1646781/1048576, 823391/524288], [2, 2]]]], [[9,
7, 4, 3, 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+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-112593/262144, -450371/
1048576], [1, 1], [-2, -2]]]], [[9, 7, 4, 3, 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+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-112593/262144, -450371/1048576], [1, 1], [-1374407/2097152, -\
687203/1048576]]]], [[9, 7, 4, 3, 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+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], [1, 1], [0, 0]]]]
, [[9, 7, 4, 3, 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+1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [987341/1048576, 987341/1048576], [-112593/262144, -450371/
1048576], [1, 1], [687203/1048576, 171801/262144]]]], [[9, 7, 4, 3, 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+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-112593/262144, -450371/1048576], [1, 1], [2, 2]]]]
, [[10, 1, 3, 4, 1], [v = 2^(1/2), 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], [-3,
-3], [-9/2, -9/2], [7/2, 7/2], [-4, -4]]]], [[10, 1, 3, 4, 2], [v = 2^(1/2), 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], [-3, -3], [-9/2, -9/2], [7/2, 7/2], [-\
2965821/1048576, -11863283/4194304]]]], [[10, 1, 3, 4, 3], [v = 2^(1/2), 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], [-3, -3], [-9/2, -9/2
], [7/2, 7/2], [-3/8388608, -3/8388608]]]], [[10, 1, 3, 4, 4], [v = 2^(1/2), 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], [-3, -3], [-9/2, -9/2], [7/2, 7/2], [741455
/262144, 2965821/1048576]]]], [[10, 1, 3, 4, 5], [v = 2^(1/2), 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], [-3, -3], [-9/2, -9/2], [7/2, 7/2], [4, 4]]]], [[10,
6, 1, 3, 1], [v = 2^(1/2), u = 0, x < -1, And(x-1 < y,y < -x+1), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-2, -2], [0, 0], [0
, 0]]]], [[11, 9, 3, 2, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1
/2)), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1, z = z], [regular_chain, [[3
, 3], [1435023/524288, 1435023/524288], [-128885/524288, -128885/524288], [-\
3163225/4194304, -395403/524288], [0, 0]]]], [[1, 2, 2, 3, 1], [v < -2^(1/2),
u = v, x = -1, 0 < y, z < -1], [regular_chain, [[-3, -3], [-3, -3], [-1, -1],
[1, 1], [-2, -2]]]], [[1, 2, 2, 3, 2], [v < -2^(1/2), u = v, x = -1, 0 < y, z
= -1], [regular_chain, [[-3, -3], [-3, -3], [-1, -1], [1, 1], [-1, -1]]]], [[1
, 2, 2, 3, 3], [v < -2^(1/2), u = v, x = -1, 0 < y, And(-1 < z,z < 1)], [
regular_chain, [[-3, -3], [-3, -3], [-1, -1], [1, 1], [0, 0]]]], [[1, 2, 2, 3,
4], [v < -2^(1/2), u = v, x = -1, 0 < y, z = 1], [regular_chain, [[-3, -3], [-\
3, -3], [-1, -1], [1, 1], [1, 1]]]], [[1, 2, 2, 3, 5], [v < -2^(1/2), u = v, x
= -1, 0 < y, 1 < z], [regular_chain, [[-3, -3], [-3, -3], [-1, -1], [1, 1], [2
, 2]]]], [[1, 7, 2, 4, 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]]]], [[2, 8, 2, 3, 1], [v = -2^(1/2), u = 1, x = -1, And(-1
< y,y < 1), z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1
], [-1, -1], [0, 0], [-1, -1]]]], [[2, 8, 2, 3, 2], [v = -2^(1/2), u = 1, x =
-1, And(-1 < y,y < 1), z = 0], [regular_chain, [[-1482911/1048576, -741455/
524288], [1, 1], [-1, -1], [0, 0], [0, 0]]]], [[2, 8, 2, 3, 3], [v = -2^(1/2),
u = 1, x = -1, And(-1 < y,y < 1), 0 < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [1, 1], [-1, -1], [0, 0], [1, 1]]]], [[3, 1, 7, 4, 1], [And(-
2^(1/2) < v,v < -1), 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], [-3, -3], [2, 2], [
11055025/1048576, 5527513/524288], [-4, -4]]]], [[3, 1, 7, 4, 2], [And(-2^(1/2
) < v,v < -1), 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], [-3, -3], [2, 2], [
11055025/1048576, 5527513/524288], [-1532401/524288, -24518415/8388608]]]], [[
3, 1, 7, 4, 3], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [2, 2], [11055025/1048576, 5527513/
524288], [-7/16777216, -7/16777216]]]], [[3, 1, 7, 4, 4], [And(-2^(1/2) < v,v
< -1), 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], [-3, -3], [2, 2], [11055025/1048576, 
5527513/524288], [3064801/1048576, 1532401/524288]]]], [[3, 1, 7, 4, 5], [And(
-2^(1/2) < v,v < -1), 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], [-3, -3], [2, 2], [
11055025/1048576, 5527513/524288], [4, 4]]]], [[4, 3, 2, 5, 1], [v = -1, And(-\
1 < u,u < 0), x = -1, -u^2+1 < y, z < u], [regular_chain, [[-1, -1], [-1/2, -1
/2], [-1, -1], [2, 2], [-2, -2]]]], [[4, 3, 2, 5, 2], [v = -1, And(-1 < u,u <
0), x = -1, -u^2+1 < y, z = u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1,
-1], [2, 2], [-1/2, -1/2]]]], [[4, 3, 2, 5, 3], [v = -1, And(-1 < u,u < 0), x
= -1, -u^2+1 < y, And(u < z,z < -u)], [regular_chain, [[-1, -1], [-1/2, -1/2],
[-1, -1], [2, 2], [0, 0]]]], [[4, 3, 2, 5, 4], [v = -1, And(-1 < u,u < 0), x =
-1, -u^2+1 < y, z = -u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [2
, 2], [1/2, 1/2]]]], [[4, 3, 2, 5, 5], [v = -1, And(-1 < u,u < 0), x = -1, -u^
2+1 < y, -u < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [2, 2], [
2, 2]]]], [[5, 1, 1, 1, 1], [And(-1 < v,v < 0), 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], [-2, -2], [-\
6, -6], [-3, -3], [-4, -4]]]], [[5, 1, 1, 1, 2], [And(-1 < v,v < 0), 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], [-2, -2], [-6, -6], [-3, -3], [-2285319/1048576, -1142659/524288]]]],
[[5, 1, 1, 1, 3], [And(-1 < v,v < 0), 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], [-2, -2], [-6, -6], [-3, -3], [0, 0]]]], [[5, 1, 1, 1, 4], [And(-1 < v,v
< 0), 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], [-2, -2], [-6, -6], [-3, -3], [1142659/524288, 
2285319/1048576]]]], [[5, 1, 1, 1, 5], [And(-1 < v,v < 0), 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], [-\
2, -2], [-6, -6], [-3, -3], [4, 4]]]], [[8, 2, 3, 2, 1], [v = 1, u = -1, And(-\
1 < x,x < 1), y = -1-x, z < -1], [regular_chain, [[1, 1], [-1, -1], [0, 0], [-\
1, -1], [-2, -2]]]], [[8, 2, 3, 2, 2], [v = 1, u = -1, And(-1 < x,x < 1), y =
-1-x, z = -1], [regular_chain, [[1, 1], [-1, -1], [0, 0], [-1, -1], [-1, -1]]]
], [[8, 2, 3, 2, 3], [v = 1, u = -1, And(-1 < x,x < 1), y = -1-x, And(-1 < z,z
< 1)], [regular_chain, [[1, 1], [-1, -1], [0, 0], [-1, -1], [0, 0]]]], [[8, 2,
3, 2, 4], [v = 1, u = -1, And(-1 < x,x < 1), y = -1-x, z = 1], [regular_chain,
[[1, 1], [-1, -1], [0, 0], [-1, -1], [1, 1]]]], [[8, 2, 3, 2, 5], [v = 1, u =
-1, And(-1 < x,x < 1), y = -1-x, 1 < z], [regular_chain, [[1, 1], [-1, -1], [0
, 0], [-1, -1], [2, 2]]]], [[8, 7, 3, 3, 1], [v = 1, 1 < u, And(-u^2 < x,x < -\
1), And(-u^2-x < y,y < u^2+x), z < -u], [regular_chain, [[1, 1], [2, 2], [-5/2
, -5/2], [0, 0], [-3, -3]]]], [[8, 7, 3, 3, 2], [v = 1, 1 < u, And(-u^2 < x,x
< -1), And(-u^2-x < y,y < u^2+x), z = -u], [regular_chain, [[1, 1], [2, 2], [-\
5/2, -5/2], [0, 0], [-2, -2]]]], [[8, 7, 3, 3, 3], [v = 1, 1 < u, And(-u^2 < x
,x < -1), And(-u^2-x < y,y < u^2+x), And(-u < z,z < u)], [regular_chain, [[1,
1], [2, 2], [-5/2, -5/2], [0, 0], [0, 0]]]], [[8, 7, 3, 3, 4], [v = 1, 1 < u,
And(-u^2 < x,x < -1), And(-u^2-x < y,y < u^2+x), z = u], [regular_chain, [[1,
1], [2, 2], [-5/2, -5/2], [0, 0], [2, 2]]]], [[8, 7, 3, 3, 5], [v = 1, 1 < u,
And(-u^2 < x,x < -1), And(-u^2-x < y,y < u^2+x), u < z], [regular_chain, [[1,
1], [2, 2], [-5/2, -5/2], [0, 0], [3, 3]]]], [[10, 8, 7, 1, 1], [v = 2^(1/2),
u = 1, 1 < x, y < -x, z < 0], [regular_chain, [[741455/524288, 1482911/1048576
], [1, 1], [2, 2], [-3, -3], [-1, -1]]]], [[10, 8, 7, 1, 2], [v = 2^(1/2), u =
1, 1 < x, y < -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [
1, 1], [2, 2], [-3, -3], [0, 0]]]], [[10, 8, 7, 1, 3], [v = 2^(1/2), u = 1, 1
< x, y < -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1]
, [2, 2], [-3, -3], [1, 1]]]], [[11, 2, 5, 2, 1], [2^(1/2) < v, u = -v, 1 < x,
y = -1-x, z < -1], [regular_chain, [[3, 3], [-3, -3], [2, 2], [-3, -3], [-2, -\
2]]]], [[11, 2, 5, 2, 2], [2^(1/2) < v, u = -v, 1 < x, y = -1-x, z = -1], [
regular_chain, [[3, 3], [-3, -3], [2, 2], [-3, -3], [-1, -1]]]], [[11, 2, 5, 2
, 3], [2^(1/2) < v, u = -v, 1 < x, y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[3, 3], [-3, -3], [2, 2], [-3, -3], [0, 0]]]], [[11, 2, 5, 2,
4], [2^(1/2) < v, u = -v, 1 < x, y = -1-x, z = 1], [regular_chain, [[3, 3], [-\
3, -3], [2, 2], [-3, -3], [1, 1]]]], [[11, 2, 5, 2, 5], [2^(1/2) < v, u = -v,
1 < x, y = -1-x, 1 < z], [regular_chain, [[3, 3], [-3, -3], [2, 2], [-3, -3],
[2, 2]]]], [[1, 10, 1, 1, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -1, y < x,
z < 0], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-2, -2],
[-3, -3], [-1, -1]]]], [[1, 10, 1, 1, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), x
< -1, y < x, z = 0], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [-2, -2], [-3, -3], [0, 0]]]], [[1, 10, 1, 1, 3], [v < -2^(1/2), u =
(v^2-1)^(1/2), x < -1, y < x, 0 < z], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [-2, -2], [-3, -3], [1, 1]]]], [[2, 1, 6, 2, 1], [v
= -2^(1/2), u < v, 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, 6, 2, 2], [v = -2^(1/2), u < v, 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, 6, 2, 3], [v = -2^(1/2), 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], [-3, -3], [1, 1], [-9, -9]
, [-3/8388608, -3/8388608]]]], [[2, 1, 6, 2, 4], [v = -2^(1/2), u < v, 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, 6, 2, 5], [v = -2^(1/2), u < v, 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, 4, 6, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2),
x = 1, And(-1 < y,y < 1), z < 0], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-1417877/2097152, -354469/524288], [1, 1], [0, 0], [-1, -1]]]], [[
3, 4, 6, 3, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 1, And(-1 <
y,y < 1), z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [1, 1], [0, 0], [0, 0]]]], [[3, 4, 6, 3, 3],
[And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 1, And(-1 < y,y < 1), 0 < z
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [1, 1], [0, 0], [1, 1]]]], [[3, 9, 4, 4, 1], [And(-2^(1/2) < v
,v < -1), -v < 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, 9, 4, 4, 2], [And(-2^(1/2) < v,v < -1), -v
< 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, 9, 4, 4, 3], [And(-2^(1/2) <
v,v < -1), -v < 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
, 9, 4, 4, 4], [And(-2^(1/2) < v,v < -1), -v < 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, 9, 4, 4, 5], [And(-2^(1/2) < v,v < -1), -v < 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]]]], [[5,
3, 6, 3, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x = 1, And(-u^2+v^2-2 < y,
y < u^2-v^2+2), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0]
, [1, 1], [0, 0], [-2, -2]]]], [[5, 3, 6, 3, 2], [And(-1 < v,v < 0), And(v < u
,u < -v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [0, 0], [-1816187/2097152, -\
3632373/4194304]]]], [[5, 3, 6, 3, 3], [And(-1 < v,v < 0), And(v < u,u < -v),
x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), And(-(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], [0, 0], [-1/
8388608, -1/8388608]]]], [[5, 3, 6, 3, 4], [And(-1 < v,v < 0), And(v < u,u < -
v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [0, 0], [908093/1048576, 454047/
524288]]]], [[5, 3, 6, 3, 5], [And(-1 < v,v < 0), And(v < u,u < -v), x = 1, 
And(-u^2+v^2-2 < y,y < u^2-v^2+2), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-\
1/2, -1/2], [0, 0], [1, 1], [0, 0], [2, 2]]]], [[6, 3, 6, 4, 1], [v = 0, 0 < u
, x = 1, y = u^2+2, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [1,
1], [3, 3], [-3, -3]]]], [[6, 3, 6, 4, 2], [v = 0, 0 < u, x = 1, y = u^2+2, z
= -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [1, 1], [3, 3], [-1482911/
1048576, -741455/524288]]]], [[6, 3, 6, 4, 3], [v = 0, 0 < u, x = 1, y = u^2+2
, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [1, 1],
[1, 1], [3, 3], [0, 0]]]], [[6, 3, 6, 4, 4], [v = 0, 0 < u, x = 1, y = u^2+2,
z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [1, 1], [3, 3], [741455/
524288, 1482911/1048576]]]], [[6, 3, 6, 4, 5], [v = 0, 0 < u, x = 1, y = u^2+2
, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [1, 1], [3, 3], [3, 3]]
]], [[9, 3, 1, 5, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)),
x < -1, -u^2+v^2-x-1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2, -2], [3,
3], [-2, -2]]]], [[9, 3, 1, 5, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v
^2-1)^(1/2)), x < -1, -u^2+v^2-x-1 < y, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2, -2], [3, 3], [-1374407/2097152, -687203/1048576]]]], [[
9, 3, 1, 5, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < -\
1, -u^2+v^2-x-1 < y, 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], [3, 3], [0, 0]]]], [[9, 3, 1, 5, 4], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < -1, -u^2+v^2-x-1 < y, z = (u^2
-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363
/4194304, -3949363/4194304], [-2, -2], [3, 3], [687203/1048576, 171801/262144]
]]], [[9, 3, 1, 5, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2))
, x < -1, -u^2+v^2-x-1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2, -2], [3,
3], [2, 2]]]], [[9, 7, 5, 1, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) <
u,u < v), And(-u^2+v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341
/1048576], [598205/2097152, 598205/2097152], [-2, -2], [-2, -2]]]], [[9, 7, 5,
1, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 <
x,x < 1), y < -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [598205/2097152,
598205/2097152], [-2, -2], [-1374407/2097152, -687203/1048576]]]], [[9, 7, 5,
1, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 <
x,x < 1), y < -u^2+v^2-x-1, And(-(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], [598205/2097152, 598205/2097152], [-2, -2], [0, 0]]]], [[9, 7, 5, 1
, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 <
x,x < 1), y < -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [598205/2097152,
598205/2097152], [-2, -2], [687203/1048576, 171801/262144]]]], [[9, 7, 5, 1, 5
], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x
< 1), y < -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [598205/2097152,
598205/2097152], [-2, -2], [2, 2]]]], [[10, 1, 3, 3, 1], [v = 2^(1/2), u < -v,
And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < u^2+x-1), z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9/2, -9/2], [0,
0], [-4, -4]]]], [[10, 1, 3, 3, 2], [v = 2^(1/2), u < -v, And(-u^2+1 < x,x < -\
1), And(-u^2-x+1 < y,y < u^2+x-1), z = -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [-9/2, -9/2], [0, 0], [-2965821/
1048576, -11863283/4194304]]]], [[10, 1, 3, 3, 3], [v = 2^(1/2), u < -v, And(-
u^2+1 < x,x < -1), And(-u^2-x+1 < y,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], [0, 0], [-3/8388608, -3/8388608]]]], [[10, 1, 3, 3, 4], [v = 2^(1
/2), u < -v, And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < u^2+x-1), z = (u^2-1
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9/2,
-9/2], [0, 0], [741455/262144, 2965821/1048576]]]], [[10, 1, 3, 3, 5], [v = 2^
(1/2), u < -v, And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < u^2+x-1), (u^2-1)^
(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9/2
, -9/2], [0, 0], [4, 4]]]], [[10, 6, 1, 2, 1], [v = 2^(1/2), u = 0, x < -1, y
= x-1, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-2,
-2], [-3, -3], [0, 0]]]], [[11, 9, 3, 3, 1], [2^(1/2) < v, And((v^2-2)^(1/2) <
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 < -u^2
+v^2-x-1), z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288],
[-128885/524288, -128885/524288], [0, 0], [0, 0]]]], [[1, 2, 2, 2, 1], [v < -2
^(1/2), u = v, x = -1, y = 0, z < -1], [regular_chain, [[-3, -3], [-3, -3], [-\
1, -1], [0, 0], [-2, -2]]]], [[1, 2, 2, 2, 2], [v < -2^(1/2), u = v, x = -1, y
= 0, z = -1], [regular_chain, [[-3, -3], [-3, -3], [-1, -1], [0, 0], [-1, -1]]
]], [[1, 2, 2, 2, 3], [v < -2^(1/2), u = v, x = -1, y = 0, And(-1 < z,z < 1)],
[regular_chain, [[-3, -3], [-3, -3], [-1, -1], [0, 0], [0, 0]]]], [[1, 2, 2, 2
, 4], [v < -2^(1/2), u = v, x = -1, y = 0, z = 1], [regular_chain, [[-3, -3],
[-3, -3], [-1, -1], [0, 0], [1, 1]]]], [[1, 2, 2, 2, 5], [v < -2^(1/2), u = v,
x = -1, y = 0, 1 < z], [regular_chain, [[-3, -3], [-3, -3], [-1, -1], [0, 0],
[2, 2]]]], [[1, 7, 2, 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 < -u^2+v^2), z = z], [regular_chain, [[-3,
-3], [0, 0], [-1, -1], [0, 0], [0, 0]]]], [[2, 8, 2, 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, 2, 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, 2, 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]]]], [[3, 1, 7, 5, 1], [And(-2^(1/2) < v,v < -1), u
< v, 1 < x, u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [2, 2], [12, 12], [-4, -4]]]], [
[3, 1, 7, 5, 2], [And(-2^(1/2) < v,v < -1), u < v, 1 < x, u^2-v^2+x+1 < y, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3, -3], [2, 2], [12, 12], [-1532401/524288, -24518415/8388608]]]], [[3, 1, 7,
5, 3], [And(-2^(1/2) < v,v < -1), u < v, 1 < x, u^2-v^2+x+1 < y, 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], [2, 2], [12, 12], [-7/16777216, -7/16777216]]]], [
[3, 1, 7, 5, 4], [And(-2^(1/2) < v,v < -1), u < v, 1 < x, u^2-v^2+x+1 < y, z =
(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3
, -3], [2, 2], [12, 12], [3064801/1048576, 1532401/524288]]]], [[3, 1, 7, 5, 5
], [And(-2^(1/2) < v,v < -1), u < v, 1 < x, u^2-v^2+x+1 < y, (u^2-v^2+1)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [2, 2],
[12, 12], [4, 4]]]], [[4, 3, 2, 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, 3, 2, 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, 3, 2, 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, 3, 2, 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, 3, 2, 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, 7, 7, 5, 1], [v = -1, 1 < u, 1 < x, u^2+x < y, z < -u], [
regular_chain, [[-1, -1], [2, 2], [2, 2], [7, 7], [-3, -3]]]], [[4, 7, 7, 5, 2
], [v = -1, 1 < u, 1 < x, u^2+x < y, z = -u], [regular_chain, [[-1, -1], [2, 2
], [2, 2], [7, 7], [-2, -2]]]], [[4, 7, 7, 5, 3], [v = -1, 1 < u, 1 < x, u^2+x
< y, And(-u < z,z < u)], [regular_chain, [[-1, -1], [2, 2], [2, 2], [7, 7], [0
, 0]]]], [[4, 7, 7, 5, 4], [v = -1, 1 < u, 1 < x, u^2+x < y, z = u], [
regular_chain, [[-1, -1], [2, 2], [2, 2], [7, 7], [2, 2]]]], [[4, 7, 7, 5, 5],
[v = -1, 1 < u, 1 < x, u^2+x < y, u < z], [regular_chain, [[-1, -1], [2, 2], [
2, 2], [7, 7], [3, 3]]]], [[8, 2, 3, 3, 1], [v = 1, u = -1, And(-1 < x,x < 1),
And(-1-x < y,y < x+1), z < -1], [regular_chain, [[1, 1], [-1, -1], [0, 0], [0,
0], [-2, -2]]]], [[8, 2, 3, 3, 2], [v = 1, u = -1, And(-1 < x,x < 1), And(-1-x
< y,y < x+1), z = -1], [regular_chain, [[1, 1], [-1, -1], [0, 0], [0, 0], [-1,
-1]]]], [[8, 2, 3, 3, 3], [v = 1, u = -1, And(-1 < x,x < 1), And(-1-x < y,y <
x+1), And(-1 < z,z < 1)], [regular_chain, [[1, 1], [-1, -1], [0, 0], [0, 0], [
0, 0]]]], [[8, 2, 3, 3, 4], [v = 1, u = -1, And(-1 < x,x < 1), And(-1-x < y,y
< x+1), z = 1], [regular_chain, [[1, 1], [-1, -1], [0, 0], [0, 0], [1, 1]]]],
[[8, 2, 3, 3, 5], [v = 1, u = -1, And(-1 < x,x < 1), And(-1-x < y,y < x+1), 1
< z], [regular_chain, [[1, 1], [-1, -1], [0, 0], [0, 0], [2, 2]]]], [[8, 7, 3,
4, 1], [v = 1, 1 < u, And(-u^2 < x,x < -1), y = u^2+x, z < -u], [regular_chain
, [[1, 1], [2, 2], [-5/2, -5/2], [3/2, 3/2], [-3, -3]]]], [[8, 7, 3, 4, 2], [v
= 1, 1 < u, And(-u^2 < x,x < -1), y = u^2+x, z = -u], [regular_chain, [[1, 1],
[2, 2], [-5/2, -5/2], [3/2, 3/2], [-2, -2]]]], [[8, 7, 3, 4, 3], [v = 1, 1 < u
, And(-u^2 < x,x < -1), y = u^2+x, And(-u < z,z < u)], [regular_chain, [[1, 1]
, [2, 2], [-5/2, -5/2], [3/2, 3/2], [0, 0]]]], [[8, 7, 3, 4, 4], [v = 1, 1 < u
, And(-u^2 < x,x < -1), y = u^2+x, z = u], [regular_chain, [[1, 1], [2, 2], [-\
5/2, -5/2], [3/2, 3/2], [2, 2]]]], [[8, 7, 3, 4, 5], [v = 1, 1 < u, And(-u^2 <
x,x < -1), y = u^2+x, u < z], [regular_chain, [[1, 1], [2, 2], [-5/2, -5/2], [
3/2, 3/2], [3, 3]]]], [[10, 8, 6, 5, 1], [v = 2^(1/2), u = 1, x = 1, 1 < y, z
< 0], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1, 1], [2, 2
], [-1, -1]]]], [[10, 8, 6, 5, 2], [v = 2^(1/2), u = 1, x = 1, 1 < y, z = 0],
[regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1, 1], [2, 2], [0,
0]]]], [[10, 8, 6, 5, 3], [v = 2^(1/2), u = 1, x = 1, 1 < y, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1, 1], [2, 2], [1,
1]]]], [[11, 2, 5, 1, 1], [2^(1/2) < v, u = -v, 1 < x, y < -1-x, z < -1], [
regular_chain, [[3, 3], [-3, -3], [2, 2], [-4, -4], [-2, -2]]]], [[11, 2, 5, 1
, 2], [2^(1/2) < v, u = -v, 1 < x, y < -1-x, z = -1], [regular_chain, [[3, 3],
[-3, -3], [2, 2], [-4, -4], [-1, -1]]]], [[11, 2, 5, 1, 3], [2^(1/2) < v, u =
-v, 1 < x, y < -1-x, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [-3, -3], [2
, 2], [-4, -4], [0, 0]]]], [[11, 2, 5, 1, 4], [2^(1/2) < v, u = -v, 1 < x, y <
-1-x, z = 1], [regular_chain, [[3, 3], [-3, -3], [2, 2], [-4, -4], [1, 1]]]],
[[11, 2, 5, 1, 5], [2^(1/2) < v, u = -v, 1 < x, y < -1-x, 1 < z], [
regular_chain, [[3, 3], [-3, -3], [2, 2], [-4, -4], [2, 2]]]], [[1, 10, 1, 4,
1], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -1, y = -x, z < 0], [regular_chain,
[[-3, -3], [741455/262144, 2965821/1048576], [-2, -2], [2, 2], [-1, -1]]]], [[
1, 10, 1, 4, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -1, y = -x, z = 0], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-2, -2], [2, 2],
[0, 0]]]], [[1, 10, 1, 4, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -1, y = -x
, 0 < z], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-2, -2
], [2, 2], [1, 1]]]], [[2, 1, 6, 1, 1], [v = -2^(1/2), u < v, x = 1, y < -u^2,
z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3,
-3], [1, 1], [-10, -10], [-4, -4]]]], [[2, 1, 6, 1, 2], [v = -2^(1/2), u < v,
x = 1, y < -u^2, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [1, 1], [-10, -10], [-2965821/1048576, -11863283/
4194304]]]], [[2, 1, 6, 1, 3], [v = -2^(1/2), 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], [-3, -3], [1, 1], [-10, -10], [-3/8388608, -3/8388608]]]], [[2
, 1, 6, 1, 4], [v = -2^(1/2), u < v, x = 1, y < -u^2, z = (u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [1, 1], [-10, -\
10], [741455/262144, 2965821/1048576]]]], [[2, 1, 6, 1, 5], [v = -2^(1/2), u <
v, x = 1, y < -u^2, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [1, 1], [-10, -10], [4, 4]]]], [[3, 4, 6, 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, 4, 6, 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, 4, 6, 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]]]], [[3,
9, 4, 1, 1], [And(-2^(1/2) < v,v < -1), -v < 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], [-9, -9], [-4, -4]]]], [[3, 9, 4, 1, 2], [And(-2^(1/2) < v,v < -1)
, -v < 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], [-9, -9], [-1532401/
524288, -24518415/8388608]]]], [[3, 9, 4, 1, 3], [And(-2^(1/2) < v,v < -1), -v
< 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], [-9,
-9], [-7/16777216, -7/16777216]]]], [[3, 9, 4, 1, 4], [And(-2^(1/2) < v,v < -1
), -v < 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], [-9, -9], [3064801/
1048576, 1532401/524288]]]], [[3, 9, 4, 1, 5], [And(-2^(1/2) < v,v < -1), -v <
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], [-9, -9], [4, 4]]]], [[5, 3, 7,
1, 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], [-4, -4], [-2
, -2]]]], [[5, 3, 7, 1, 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], [-4, -4], [-1816187/2097152, -3632373/4194304]]]], [[5, 3, 7, 1, 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], [-4, -4], [-1/8388608, -1/8388608]]]], [[5, 3, 7, 1, 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], [-4, -4], [908093/1048576, 
454047/524288]]]], [[5, 3, 7, 1, 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], [-4, -4], [2, 2]]]], [[6, 3, 6, 3, 1], [v = 0, 0 < u, x = 1, 
And(-u^2-2 < y,y < u^2+2), z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1
], [1, 1], [0, 0], [-3, -3]]]], [[6, 3, 6, 3, 2], [v = 0, 0 < u, x = 1, And(-u
^2-2 < y,y < u^2+2), z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [1,
1], [0, 0], [-1482911/1048576, -741455/524288]]]], [[6, 3, 6, 3, 3], [v = 0, 0
< u, x = 1, And(-u^2-2 < y,y < u^2+2), And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2
))], [regular_chain, [[0, 0], [1, 1], [1, 1], [0, 0], [0, 0]]]], [[6, 3, 6, 3,
4], [v = 0, 0 < u, x = 1, And(-u^2-2 < y,y < u^2+2), z = (u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [1, 1], [0, 0], [741455/524288, 1482911/
1048576]]]], [[6, 3, 6, 3, 5], [v = 0, 0 < u, x = 1, And(-u^2-2 < y,y < u^2+2)
, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [1, 1], [0, 0], [3, 3]]
]], [[9, 3, 2, 1, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)),
x = -1, y < u^2-v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [-2
, -2], [-2, -2]]]], [[9, 3, 2, 1, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u <
-(v^2-1)^(1/2)), x = -1, y < u^2-v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1
, -1], [-2, -2], [-1374407/2097152, -687203/1048576]]]], [[9, 3, 2, 1, 3], [
And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y < u^2-v^2, 
And(-(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], [-2
, -2], [0, 0]]]], [[9, 3, 2, 1, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(
v^2-1)^(1/2)), x = -1, y < u^2-v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1,
-1], [-2, -2], [687203/1048576, 171801/262144]]]], [[9, 3, 2, 1, 5], [And(1 <
v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y < u^2-v^2, (u^2-v^2+
1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-1, -1], [-2, -2], [2, 2]]]], [[9, 7, 4, 1, 1], [
And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y < 0, z
< -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-112593/262144, -450371/1048576], [-1, -1],
[-2, -2]]]], [[9, 7, 4, 1, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,
u < v), x = -u^2+v^2-1, y < 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-112593/
262144, -450371/1048576], [-1, -1], [-1374407/2097152, -687203/1048576]]]], [[
9, 7, 4, 1, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -u^
2+v^2-1, y < 0, And(-(u^2-v^2+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], [-1, -1], [0, 0]]]], [[9, 7, 4, 1
, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y
< 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-112593/262144, -450371/1048576],
[-1, -1], [687203/1048576, 171801/262144]]]], [[9, 7, 4, 1, 5], [And(1 < v,v <
2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y < 0, (u^2-v^2+1)^(1/
2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576,
987341/1048576], [-112593/262144, -450371/1048576], [-1, -1], [2, 2]]]], [[10,
1, 4, 1, 1], [v = 2^(1/2), u < -v, x = -1, y < -u^2+2, z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [-8, -8]
, [-4, -4]]]], [[10, 1, 4, 1, 2], [v = 2^(1/2), u < -v, x = -1, y < -u^2+2, z
= -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3]
, [-1, -1], [-8, -8], [-2965821/1048576, -11863283/4194304]]]], [[10, 1, 4, 1,
3], [v = 2^(1/2), 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], [-3, -3], [-1,
-1], [-8, -8], [-3/8388608, -3/8388608]]]], [[10, 1, 4, 1, 4], [v = 2^(1/2), u
< -v, x = -1, y < -u^2+2, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-3, -3], [-1, -1], [-8, -8], [741455/262144, 2965821/
1048576]]]], [[10, 1, 4, 1, 5], [v = 2^(1/2), u < -v, x = -1, y < -u^2+2, (u^2
-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [
-1, -1], [-8, -8], [4, 4]]]], [[10, 6, 1, 1, 1], [v = 2^(1/2), u = 0, x < -1,
y < x-1, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-\
2, -2], [-4, -4], [0, 0]]]], [[11, 9, 3, 4, 1], [2^(1/2) < v, And((v^2-2)^(1/2
) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, z = z]
, [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-128885/524288,
-128885/524288], [395403/524288, 790807/1048576], [0, 0]]]], [[1, 2, 3, 2, 1],
[v < -2^(1/2), u = v, And(-1 < x,x < 1), y = -1-x, z < -1], [regular_chain, [[
-3, -3], [-3, -3], [0, 0], [-1, -1], [-2, -2]]]], [[1, 2, 3, 2, 2], [v < -2^(1
/2), u = v, And(-1 < x,x < 1), y = -1-x, z = -1], [regular_chain, [[-3, -3], [
-3, -3], [0, 0], [-1, -1], [-1, -1]]]], [[1, 2, 3, 2, 3], [v < -2^(1/2), u = v
, And(-1 < x,x < 1), y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-3, -3],
[-3, -3], [0, 0], [-1, -1], [0, 0]]]], [[1, 2, 3, 2, 4], [v < -2^(1/2), u = v,
And(-1 < x,x < 1), y = -1-x, z = 1], [regular_chain, [[-3, -3], [-3, -3], [0,
0], [-1, -1], [1, 1]]]], [[1, 2, 3, 2, 5], [v < -2^(1/2), u = v, And(-1 < x,x
< 1), y = -1-x, 1 < z], [regular_chain, [[-3, -3], [-3, -3], [0, 0], [-1, -1],
[2, 2]]]], [[1, 7, 2, 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]]]], [[2, 8, 2, 5, 1], [v = -2^(1/2), u = 1, x = -1, 1 <
y, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1, -\
1], [2, 2], [-1, -1]]]], [[2, 8, 2, 5, 2], [v = -2^(1/2), u = 1, x = -1, 1 < y
, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1, -1
], [2, 2], [0, 0]]]], [[2, 8, 2, 5, 3], [v = -2^(1/2), u = 1, x = -1, 1 < y, 0
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1, -1], [
2, 2], [1, 1]]]], [[3, 1, 7, 2, 1], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [2, 2], [-5527513/524288, -11055025/1048576], [-4,
-4]]]], [[3, 1, 7, 2, 2], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [2, 2], [-5527513/524288, -11055025/1048576], [-1532401/
524288, -24518415/8388608]]]], [[3, 1, 7, 2, 3], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [2, 2], [
-5527513/524288, -11055025/1048576], [-7/16777216, -7/16777216]]]], [[3, 1, 7,
2, 4], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [
2, 2], [-5527513/524288, -11055025/1048576], [3064801/1048576, 1532401/524288]
]]], [[3, 1, 7, 2, 5], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [2, 2], [-5527513/524288, -11055025/1048576], [4, 4]]]], [
[4, 3, 3, 2, 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, 3, 3, 2, 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, 3, 3, 2, 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, 3, 3, 2, 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, 3, 3,
2, 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, 7, 7, 4, 1], [v = -1, 1 < u, 1 < x, y = u^2+x, z < -u], [regular_chain, [
[-1, -1], [2, 2], [2, 2], [6, 6], [-3, -3]]]], [[4, 7, 7, 4, 2], [v = -1, 1 <
u, 1 < x, y = u^2+x, z = -u], [regular_chain, [[-1, -1], [2, 2], [2, 2], [6, 6
], [-2, -2]]]], [[4, 7, 7, 4, 3], [v = -1, 1 < u, 1 < x, y = u^2+x, And(-u < z
,z < u)], [regular_chain, [[-1, -1], [2, 2], [2, 2], [6, 6], [0, 0]]]], [[4, 7
, 7, 4, 4], [v = -1, 1 < u, 1 < x, y = u^2+x, z = u], [regular_chain, [[-1, -1
], [2, 2], [2, 2], [6, 6], [2, 2]]]], [[4, 7, 7, 4, 5], [v = -1, 1 < u, 1 < x,
y = u^2+x, u < z], [regular_chain, [[-1, -1], [2, 2], [2, 2], [6, 6], [3, 3]]]
], [[8, 2, 3, 4, 1], [v = 1, u = -1, And(-1 < x,x < 1), y = x+1, z < -1], [
regular_chain, [[1, 1], [-1, -1], [0, 0], [1, 1], [-2, -2]]]], [[8, 2, 3, 4, 2
], [v = 1, u = -1, And(-1 < x,x < 1), y = x+1, z = -1], [regular_chain, [[1, 1
], [-1, -1], [0, 0], [1, 1], [-1, -1]]]], [[8, 2, 3, 4, 3], [v = 1, u = -1, 
And(-1 < x,x < 1), y = x+1, And(-1 < z,z < 1)], [regular_chain, [[1, 1], [-1,
-1], [0, 0], [1, 1], [0, 0]]]], [[8, 2, 3, 4, 4], [v = 1, u = -1, And(-1 < x,x
< 1), y = x+1, z = 1], [regular_chain, [[1, 1], [-1, -1], [0, 0], [1, 1], [1,
1]]]], [[8, 2, 3, 4, 5], [v = 1, u = -1, And(-1 < x,x < 1), y = x+1, 1 < z], [
regular_chain, [[1, 1], [-1, -1], [0, 0], [1, 1], [2, 2]]]], [[8, 7, 3, 1, 1],
[v = 1, 1 < u, And(-u^2 < x,x < -1), y < -u^2-x, z < -u], [regular_chain, [[1,
1], [2, 2], [-5/2, -5/2], [-3, -3], [-3, -3]]]], [[8, 7, 3, 1, 2], [v = 1, 1 <
u, And(-u^2 < x,x < -1), y < -u^2-x, z = -u], [regular_chain, [[1, 1], [2, 2],
[-5/2, -5/2], [-3, -3], [-2, -2]]]], [[8, 7, 3, 1, 3], [v = 1, 1 < u, And(-u^2
< x,x < -1), y < -u^2-x, And(-u < z,z < u)], [regular_chain, [[1, 1], [2, 2],
[-5/2, -5/2], [-3, -3], [0, 0]]]], [[8, 7, 3, 1, 4], [v = 1, 1 < u, And(-u^2 <
x,x < -1), y < -u^2-x, z = u], [regular_chain, [[1, 1], [2, 2], [-5/2, -5/2],
[-3, -3], [2, 2]]]], [[8, 7, 3, 1, 5], [v = 1, 1 < u, And(-u^2 < x,x < -1), y
< -u^2-x, u < z], [regular_chain, [[1, 1], [2, 2], [-5/2, -5/2], [-3, -3], [3,
3]]]], [[10, 8, 7, 3, 1], [v = 2^(1/2), u = 1, 1 < x, And(-x < y,y < x), z < 0
], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [2, 2], [0, 0],
[-1, -1]]]], [[10, 8, 7, 3, 2], [v = 2^(1/2), u = 1, 1 < x, And(-x < y,y < x),
z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [2, 2], [0,
0], [0, 0]]]], [[10, 8, 7, 3, 3], [v = 2^(1/2), u = 1, 1 < x, And(-x < y,y < x
), 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [2, 2],
[0, 0], [1, 1]]]], [[11, 2, 4, 5, 1], [2^(1/2) < v, u = -v, x = 1, 2 < y, z <
-1], [regular_chain, [[3, 3], [-3, -3], [1, 1], [3, 3], [-2, -2]]]], [[11, 2,
4, 5, 2], [2^(1/2) < v, u = -v, x = 1, 2 < y, z = -1], [regular_chain, [[3, 3]
, [-3, -3], [1, 1], [3, 3], [-1, -1]]]], [[11, 2, 4, 5, 3], [2^(1/2) < v, u =
-v, x = 1, 2 < y, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [-3, -3], [1, 1
], [3, 3], [0, 0]]]], [[11, 2, 4, 5, 4], [2^(1/2) < v, u = -v, x = 1, 2 < y, z
= 1], [regular_chain, [[3, 3], [-3, -3], [1, 1], [3, 3], [1, 1]]]], [[11, 2, 4
, 5, 5], [2^(1/2) < v, u = -v, x = 1, 2 < y, 1 < z], [regular_chain, [[3, 3],
[-3, -3], [1, 1], [3, 3], [2, 2]]]], [[1, 10, 1, 3, 1], [v < -2^(1/2), u = (v^
2-1)^(1/2), x < -1, And(x < y,y < -x), z < 0], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [-2, -2], [0, 0], [-1, -1]]]], [[1, 10, 1, 3,
2], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -1, And(x < y,y < -x), z = 0], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-2, -2], [0, 0],
[0, 0]]]], [[1, 10, 1, 3, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -1, And(x
< y,y < -x), 0 < z], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [-2, -2], [0, 0], [1, 1]]]], [[2, 1, 5, 5, 1], [v = -2^(1/2), u < v,
And(-1 < x,x < 1), u^2+x-1 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [0, 0], [9, 9], [-4, -4]]]], [[2,
1, 5, 5, 2], [v = -2^(1/2), u < v, And(-1 < x,x < 1), u^2+x-1 < y, z = -(u^2-1
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [0, 0
], [9, 9], [-2965821/1048576, -11863283/4194304]]]], [[2, 1, 5, 5, 3], [v = -2
^(1/2), u < v, And(-1 < x,x < 1), u^2+x-1 < y, And(-(u^2-1)^(1/2) < z,z < (u^2
-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [0
, 0], [9, 9], [-3/8388608, -3/8388608]]]], [[2, 1, 5, 5, 4], [v = -2^(1/2), u
< v, And(-1 < x,x < 1), u^2+x-1 < y, z = (u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [0, 0], [9, 9], [741455/262144, 
2965821/1048576]]]], [[2, 1, 5, 5, 5], [v = -2^(1/2), u < v, And(-1 < x,x < 1)
, u^2+x-1 < y, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455
/524288], [-3, -3], [0, 0], [9, 9], [4, 4]]]], [[3, 4, 6, 5, 1], [And(-2^(1/2)
< v,v < -1), u = -(v^2-1)^(1/2), x = 1, 1 < y, z < 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [1, 1]
, [2, 2], [-1, -1]]]], [[3, 4, 6, 5, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-\
1)^(1/2), x = 1, 1 < y, z = 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [1, 1], [2, 2], [0, 0]]]], [[3,
4, 6, 5, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 1, 1 < y, 0 <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152,
-354469/524288], [1, 1], [2, 2], [1, 1]]]], [[3, 9, 4, 2, 1], [And(-2^(1/2) <
v,v < -1), -v < u, x = -1, y = -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1, -1], [-\
15818595/2097152, -7909297/1048576], [-4, -4]]]], [[3, 9, 4, 2, 2], [And(-2^(1
/2) < v,v < -1), -v < u, x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1, -1], [-\
15818595/2097152, -7909297/1048576], [-1532401/524288, -24518415/8388608]]]],
[[3, 9, 4, 2, 3], [And(-2^(1/2) < v,v < -1), -v < u, x = -1, y = -u^2+v^2, And
(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [-1, -1], [-15818595/2097152, -7909297/
1048576], [-7/16777216, -7/16777216]]]], [[3, 9, 4, 2, 4], [And(-2^(1/2) < v,v
< -1), -v < u, x = -1, y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [3, 3], [-1, -1], [-15818595/2097152, -\
7909297/1048576], [3064801/1048576, 1532401/524288]]]], [[3, 9, 4, 2, 5], [And
(-2^(1/2) < v,v < -1), -v < u, x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1, -1], [-\
15818595/2097152, -7909297/1048576], [4, 4]]]], [[5, 3, 6, 5, 1], [And(-1 < v,
v < 0), And(v < u,u < -v), x = 1, u^2-v^2+2 < y, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [3, 3], [-2, -2]]]], [[5, 3, 6,
5, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x = 1, u^2-v^2+2 < y, z = -(u^2-
v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [3, 3], [-\
1816187/2097152, -3632373/4194304]]]], [[5, 3, 6, 5, 3], [And(-1 < v,v < 0), 
And(v < u,u < -v), x = 1, u^2-v^2+2 < y, 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], [3, 3], [-1/
8388608, -1/8388608]]]], [[5, 3, 6, 5, 4], [And(-1 < v,v < 0), And(v < u,u < -
v), x = 1, u^2-v^2+2 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2
], [0, 0], [1, 1], [3, 3], [908093/1048576, 454047/524288]]]], [[5, 3, 6, 5, 5
], [And(-1 < v,v < 0), And(v < u,u < -v), x = 1, u^2-v^2+2 < y, (u^2-v^2+1)^(1
/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [3, 3], [2, 2]]]], [[
6, 3, 6, 2, 1], [v = 0, 0 < u, x = 1, y = -u^2-2, z < -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [1, 1], [-3, -3], [-3, -3]]]], [[6, 3, 6, 2, 2
], [v = 0, 0 < u, x = 1, y = -u^2-2, z = -(u^2+1)^(1/2)], [regular_chain, [[0,
0], [1, 1], [1, 1], [-3, -3], [-1482911/1048576, -741455/524288]]]], [[6, 3, 6
, 2, 3], [v = 0, 0 < u, x = 1, y = -u^2-2, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^
(1/2))], [regular_chain, [[0, 0], [1, 1], [1, 1], [-3, -3], [0, 0]]]], [[6, 3,
6, 2, 4], [v = 0, 0 < u, x = 1, y = -u^2-2, z = (u^2+1)^(1/2)], [regular_chain
, [[0, 0], [1, 1], [1, 1], [-3, -3], [741455/524288, 1482911/1048576]]]], [[6,
3, 6, 2, 5], [v = 0, 0 < u, x = 1, y = -u^2-2, (u^2+1)^(1/2) < z], [
regular_chain, [[0, 0], [1, 1], [1, 1], [-3, -3], [3, 3]]]], [[9, 3, 2, 2, 1],
[And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y = u^2-v^2,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3949363/4194304, -3949363/4194304], [-1, -1], [-1196411/2097152, -598205/
1048576], [-2, -2]]]], [[9, 3, 2, 2, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u
< -(v^2-1)^(1/2)), x = -1, y = u^2-v^2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1, -1], [-1196411/2097152, -598205/1048576], [-1374407/
2097152, -687203/1048576]]]], [[9, 3, 2, 2, 3], [And(1 < v,v < 2^(1/2)), And(-
v < u,u < -(v^2-1)^(1/2)), x = -1, y = u^2-v^2, And(-(u^2-v^2+1)^(1/2) < z,z <
(u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1, -1], [-1196411/2097152, -598205/
1048576], [0, 0]]]], [[9, 3, 2, 2, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u <
-(v^2-1)^(1/2)), x = -1, y = u^2-v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1
, -1], [-1196411/2097152, -598205/1048576], [687203/1048576, 171801/262144]]]]
, [[9, 3, 2, 2, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x
= -1, y = u^2-v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [-1196411/
2097152, -598205/1048576], [2, 2]]]], [[9, 7, 4, 2, 1], [And(1 < v,v < 2^(1/2)
), And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [-112593/262144, -450371/1048576], [0, 0], [-2, -2]]]], [[9,
7, 4, 2, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -u^2+v
^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-112593/262144, -450371/
1048576], [0, 0], [-1374407/2097152, -687203/1048576]]]], [[9, 7, 4, 2, 3], [
And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 0, 
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-112593/262144,
-450371/1048576], [0, 0], [0, 0]]]], [[9, 7, 4, 2, 4], [And(1 < v,v < 2^(1/2))
, And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-112593/262144, -450371/1048576], [0, 0], [687203/1048576, 171801/
262144]]]], [[9, 7, 4, 2, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u
< v), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-112593/262144,
-450371/1048576], [0, 0], [2, 2]]]], [[10, 1, 3, 5, 1], [v = 2^(1/2), u < -v,
And(-u^2+1 < x,x < -1), u^2+x-1 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [-9/2, -9/2], [5, 5], [-4, -4]]]],
[[10, 1, 3, 5, 2], [v = 2^(1/2), u < -v, And(-u^2+1 < x,x < -1), u^2+x-1 < y,
z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -\
3], [-9/2, -9/2], [5, 5], [-2965821/1048576, -11863283/4194304]]]], [[10, 1, 3
, 5, 3], [v = 2^(1/2), u < -v, And(-u^2+1 < x,x < -1), u^2+x-1 < y, 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], [5, 5], [-3/8388608, -3/8388608]]]], [[10, 1
, 3, 5, 4], [v = 2^(1/2), u < -v, And(-u^2+1 < x,x < -1), u^2+x-1 < y, z = (u^
2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9/
2, -9/2], [5, 5], [741455/262144, 2965821/1048576]]]], [[10, 1, 3, 5, 5], [v =
2^(1/2), u < -v, And(-u^2+1 < x,x < -1), u^2+x-1 < y, (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9/2, -9/2], [5,
5], [4, 4]]]], [[10, 5, 7, 5, 1], [v = 2^(1/2), And(-1 < u,u < 0), 1 < x, u^2+
x-1 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/
2], [2, 2], [3, 3], [0, 0]]]], [[11, 9, 3, 5, 1], [2^(1/2) < v, And((v^2-2)^(1
/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), -u^2+v^2-x-1 < y, z =
z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-128885/524288
, -128885/524288], [2, 2], [0, 0]]]], [[1, 2, 3, 1, 1], [v < -2^(1/2), u = v,
And(-1 < x,x < 1), y < -1-x, z < -1], [regular_chain, [[-3, -3], [-3, -3], [0,
0], [-2, -2], [-2, -2]]]], [[1, 2, 3, 1, 2], [v < -2^(1/2), u = v, And(-1 < x,
x < 1), y < -1-x, z = -1], [regular_chain, [[-3, -3], [-3, -3], [0, 0], [-2, -\
2], [-1, -1]]]], [[1, 2, 3, 1, 3], [v < -2^(1/2), u = v, And(-1 < x,x < 1), y
< -1-x, And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [-3, -3], [0, 0], [-2,
-2], [0, 0]]]], [[1, 2, 3, 1, 4], [v < -2^(1/2), u = v, And(-1 < x,x < 1), y <
-1-x, z = 1], [regular_chain, [[-3, -3], [-3, -3], [0, 0], [-2, -2], [1, 1]]]]
, [[1, 2, 3, 1, 5], [v < -2^(1/2), u = v, And(-1 < x,x < 1), y < -1-x, 1 < z],
[regular_chain, [[-3, -3], [-3, -3], [0, 0], [-2, -2], [2, 2]]]], [[1, 7, 2, 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]
]]], [[2, 8, 3, 1, 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], [-2
, -2], [-1, -1]]]], [[2, 8, 3, 1, 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], [-2, -2], [0, 0]]]], [[2, 8, 3, 1, 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], [-2, -2], [1, 1]]]], [[3, 1, 7, 3, 1], [And(-2^
(1/2) < v,v < -1), u < v, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z < -(
u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3,
-3], [2, 2], [0, 0], [-4, -4]]]], [[3, 1, 7, 3, 2], [And(-2^(1/2) < v,v < -1),
u < v, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [2, 2], [0, 0
], [-1532401/524288, -24518415/8388608]]]], [[3, 1, 7, 3, 3], [And(-2^(1/2) <
v,v < -1), u < v, 1 < x, And(-u^2+v^2-x-1 < y,y < u^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], [2, 2], [0, 0], [-7/16777216, -7/16777216]]]], [[3
, 1, 7, 3, 4], [And(-2^(1/2) < v,v < -1), u < v, 1 < x, And(-u^2+v^2-x-1 < y,y
< u^2-v^2+x+1), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [2, 2], [0, 0], [3064801/1048576, 1532401/524288]]
]], [[3, 1, 7, 3, 5], [And(-2^(1/2) < v,v < -1), u < v, 1 < x, And(-u^2+v^2-x-\
1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [2, 2], [0, 0], [4, 4]]]], [[4, 3, 3, 1,
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], [-2, -2], [-2, -2]]]], [
[4, 3, 3, 1, 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], [-2, -2], [-1/2
, -1/2]]]], [[4, 3, 3, 1, 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], [-2, -2], [0, 0]]]], [[4, 3, 3, 1, 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], [-2, -2], [1/2, 1/2]]]], [[4, 3, 3, 1, 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], [-2, -2], [2, 2]]]], [[4, 7, 7, 3, 1], [v = -1,
1 < u, 1 < x, And(-u^2-x < y,y < u^2+x), z < -u], [regular_chain, [[-1, -1], [
2, 2], [2, 2], [0, 0], [-3, -3]]]], [[4, 7, 7, 3, 2], [v = -1, 1 < u, 1 < x, 
And(-u^2-x < y,y < u^2+x), z = -u], [regular_chain, [[-1, -1], [2, 2], [2, 2],
[0, 0], [-2, -2]]]], [[4, 7, 7, 3, 3], [v = -1, 1 < u, 1 < x, And(-u^2-x < y,y
< u^2+x), And(-u < z,z < u)], [regular_chain, [[-1, -1], [2, 2], [2, 2], [0, 0
], [0, 0]]]], [[4, 7, 7, 3, 4], [v = -1, 1 < u, 1 < x, And(-u^2-x < y,y < u^2+
x), z = u], [regular_chain, [[-1, -1], [2, 2], [2, 2], [0, 0], [2, 2]]]], [[4,
7, 7, 3, 5], [v = -1, 1 < u, 1 < x, And(-u^2-x < y,y < u^2+x), u < z], [
regular_chain, [[-1, -1], [2, 2], [2, 2], [0, 0], [3, 3]]]], [[8, 2, 3, 5, 1],
[v = 1, u = -1, And(-1 < x,x < 1), x+1 < y, z < -1], [regular_chain, [[1, 1],
[-1, -1], [0, 0], [2, 2], [-2, -2]]]], [[8, 2, 3, 5, 2], [v = 1, u = -1, And(-\
1 < x,x < 1), x+1 < y, z = -1], [regular_chain, [[1, 1], [-1, -1], [0, 0], [2,
2], [-1, -1]]]], [[8, 2, 3, 5, 3], [v = 1, u = -1, And(-1 < x,x < 1), x+1 < y,
And(-1 < z,z < 1)], [regular_chain, [[1, 1], [-1, -1], [0, 0], [2, 2], [0, 0]]
]], [[8, 2, 3, 5, 4], [v = 1, u = -1, And(-1 < x,x < 1), x+1 < y, z = 1], [
regular_chain, [[1, 1], [-1, -1], [0, 0], [2, 2], [1, 1]]]], [[8, 2, 3, 5, 5],
[v = 1, u = -1, And(-1 < x,x < 1), x+1 < y, 1 < z], [regular_chain, [[1, 1], [
-1, -1], [0, 0], [2, 2], [2, 2]]]], [[8, 7, 3, 2, 1], [v = 1, 1 < u, And(-u^2
< x,x < -1), y = -u^2-x, z < -u], [regular_chain, [[1, 1], [2, 2], [-5/2, -5/2
], [-3/2, -3/2], [-3, -3]]]], [[8, 7, 3, 2, 2], [v = 1, 1 < u, And(-u^2 < x,x
< -1), y = -u^2-x, z = -u], [regular_chain, [[1, 1], [2, 2], [-5/2, -5/2], [-3
/2, -3/2], [-2, -2]]]], [[8, 7, 3, 2, 3], [v = 1, 1 < u, And(-u^2 < x,x < -1),
y = -u^2-x, And(-u < z,z < u)], [regular_chain, [[1, 1], [2, 2], [-5/2, -5/2],
[-3/2, -3/2], [0, 0]]]], [[8, 7, 3, 2, 4], [v = 1, 1 < u, And(-u^2 < x,x < -1)
, y = -u^2-x, z = u], [regular_chain, [[1, 1], [2, 2], [-5/2, -5/2], [-3/2, -3
/2], [2, 2]]]], [[8, 7, 3, 2, 5], [v = 1, 1 < u, And(-u^2 < x,x < -1), y = -u^
2-x, u < z], [regular_chain, [[1, 1], [2, 2], [-5/2, -5/2], [-3/2, -3/2], [3,
3]]]], [[10, 8, 7, 2, 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, 7, 2, 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, 7, 2, 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]]]], [[11, 2, 4, 4, 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, 2, 4, 4,
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, 2, 4, 4, 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, 2, 4, 4, 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, 2, 4, 4, 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]]]], [[1, 2, 5, 3, 1], [v < -2^(1/2), u = v, 1 < x, 
And(-1-x < y,y < x+1), z < -1], [regular_chain, [[-3, -3], [-3, -3], [2, 2], [
0, 0], [-2, -2]]]], [[1, 2, 5, 3, 2], [v < -2^(1/2), u = v, 1 < x, And(-1-x <
y,y < x+1), z = -1], [regular_chain, [[-3, -3], [-3, -3], [2, 2], [0, 0], [-1,
-1]]]], [[1, 2, 5, 3, 3], [v < -2^(1/2), u = v, 1 < x, And(-1-x < y,y < x+1),
And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [-3, -3], [2, 2], [0, 0], [0, 0
]]]], [[1, 2, 5, 3, 4], [v < -2^(1/2), u = v, 1 < x, And(-1-x < y,y < x+1), z
= 1], [regular_chain, [[-3, -3], [-3, -3], [2, 2], [0, 0], [1, 1]]]], [[1, 2,
5, 3, 5], [v < -2^(1/2), u = v, 1 < x, And(-1-x < y,y < x+1), 1 < z], [
regular_chain, [[-3, -3], [-3, -3], [2, 2], [0, 0], [2, 2]]]], [[1, 6, 2, 4, 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]]]], [
[2, 9, 2, 1, 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], [-2, -2], [-2, -2]]]], [[2, 9, 2, 1, 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], [-2, -2], [-1417877/2097152, -354469/524288]]]], [[2, 9, 2
, 1, 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], [-2, -2], [0, 0]]]], [[2, 9,
2, 1, 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], [-2, -2], [354469/524288, 708939/1048576]]]], [[2,
9, 2, 1, 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], [-2, -2], [2, 2]]]], [[3, 1, 6, 4, 1], [And(-2^(1/
2) < v,v < -1), u < v, 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, 6, 4, 2], [And(-2^(1/2
) < v,v < -1), u < v, 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, 6, 4, 3], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [1, 1], [10006449/1048576, 5003225/
524288], [-7/16777216, -7/16777216]]]], [[3, 1, 6, 4, 4], [And(-2^(1/2) < v,v
< -1), u < v, 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, 6, 4, 5], [And(
-2^(1/2) < v,v < -1), u < v, 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, 3, 5, 5, 1], [v = -1, And(-\
1 < u,u < 0), And(-u^2 < x,x < 1), u^2+x < y, z < u], [regular_chain, [[-1, -1
], [-1/2, -1/2], [3/8, 3/8], [2, 2], [-2, -2]]]], [[4, 3, 5, 5, 2], [v = -1, 
And(-1 < u,u < 0), And(-u^2 < x,x < 1), u^2+x < y, z = u], [regular_chain, [[-\
1, -1], [-1/2, -1/2], [3/8, 3/8], [2, 2], [-1/2, -1/2]]]], [[4, 3, 5, 5, 3], [
v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 1), u^2+x < y, And(u < z,z < -u)],
[regular_chain, [[-1, -1], [-1/2, -1/2], [3/8, 3/8], [2, 2], [0, 0]]]], [[4, 3
, 5, 5, 4], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 1), u^2+x < y, z = -u
], [regular_chain, [[-1, -1], [-1/2, -1/2], [3/8, 3/8], [2, 2], [1/2, 1/2]]]],
[[4, 3, 5, 5, 5], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 1), u^2+x < y,
-u < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [3/8, 3/8], [2, 2], [2, 2]]]
], [[4, 7, 3, 3, 1], [v = -1, 1 < u, And(-u^2 < x,x < -1), And(-u^2-x < y,y <
u^2+x), z < -u], [regular_chain, [[-1, -1], [2, 2], [-5/2, -5/2], [0, 0], [-3,
-3]]]], [[4, 7, 3, 3, 2], [v = -1, 1 < u, And(-u^2 < x,x < -1), And(-u^2-x < y
,y < u^2+x), z = -u], [regular_chain, [[-1, -1], [2, 2], [-5/2, -5/2], [0, 0],
[-2, -2]]]], [[4, 7, 3, 3, 3], [v = -1, 1 < u, And(-u^2 < x,x < -1), And(-u^2-
x < y,y < u^2+x), And(-u < z,z < u)], [regular_chain, [[-1, -1], [2, 2], [-5/2
, -5/2], [0, 0], [0, 0]]]], [[4, 7, 3, 3, 4], [v = -1, 1 < u, And(-u^2 < x,x <
-1), And(-u^2-x < y,y < u^2+x), z = u], [regular_chain, [[-1, -1], [2, 2], [-5
/2, -5/2], [0, 0], [2, 2]]]], [[4, 7, 3, 3, 5], [v = -1, 1 < u, And(-u^2 < x,x
< -1), And(-u^2-x < y,y < u^2+x), u < z], [regular_chain, [[-1, -1], [2, 2], [
-5/2, -5/2], [0, 0], [3, 3]]]], [[8, 3, 4, 3, 1], [v = 1, And(-1 < u,u < 0), x
= -u^2, 0 < y, z < u], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/4, -1/4], [1
, 1], [-2, -2]]]], [[8, 3, 4, 3, 2], [v = 1, And(-1 < u,u < 0), x = -u^2, 0 <
y, z = u], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/4, -1/4], [1, 1], [-1/2,
-1/2]]]], [[8, 3, 4, 3, 3], [v = 1, And(-1 < u,u < 0), x = -u^2, 0 < y, And(u
< z,z < -u)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/4, -1/4], [1, 1], [0,
0]]]], [[8, 3, 4, 3, 4], [v = 1, And(-1 < u,u < 0), x = -u^2, 0 < y, z = -u],
[regular_chain, [[1, 1], [-1/2, -1/2], [-1/4, -1/4], [1, 1], [1/2, 1/2]]]], [[
8, 3, 4, 3, 5], [v = 1, And(-1 < u,u < 0), x = -u^2, 0 < y, -u < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1/4, -1/4], [1, 1], [2, 2]]]], [[8, 7,
2, 1, 1], [v = 1, 1 < u, x = -u^2, y < 0, z < -u], [regular_chain, [[1, 1], [2
, 2], [-4, -4], [-1, -1], [-3, -3]]]], [[8, 7, 2, 1, 2], [v = 1, 1 < u, x = -u
^2, y < 0, z = -u], [regular_chain, [[1, 1], [2, 2], [-4, -4], [-1, -1], [-2,
-2]]]], [[8, 7, 2, 1, 3], [v = 1, 1 < u, x = -u^2, y < 0, And(-u < z,z < u)],
[regular_chain, [[1, 1], [2, 2], [-4, -4], [-1, -1], [0, 0]]]], [[8, 7, 2, 1,
4], [v = 1, 1 < u, x = -u^2, y < 0, z = u], [regular_chain, [[1, 1], [2, 2], [
-4, -4], [-1, -1], [2, 2]]]], [[8, 7, 2, 1, 5], [v = 1, 1 < u, x = -u^2, y < 0
, u < z], [regular_chain, [[1, 1], [2, 2], [-4, -4], [-1, -1], [3, 3]]]], [[10
, 9, 1, 1, 1], [v = 2^(1/2), And(1 < u,u < v), x < -1, y < u^2+x-1, z < -(u^2-\
1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576
, 1265743/1048576], [-2, -2], [-3, -3], [-2, -2]]]], [[10, 9, 1, 1, 2], [v = 2
^(1/2), And(1 < u,u < v), x < -1, y < u^2+x-1, z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-2, -2], [-3, -3], [-1417877/2097152, -354469/524288]]]], [[10, 9,
1, 1, 3], [v = 2^(1/2), And(1 < u,u < v), 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], [-2, -2], [-3, -3], [0, 0]]]], [[10, 9,
1, 1, 4], [v = 2^(1/2), And(1 < u,u < v), x < -1, y < u^2+x-1, z = (u^2-1)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-2, -2], [-3, -3], [354469/524288, 708939/1048576]]]], [[10
, 9, 1, 1, 5], [v = 2^(1/2), And(1 < u,u < v), x < -1, y < u^2+x-1, (u^2-1)^(1
/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576,
1265743/1048576], [-2, -2], [-3, -3], [2, 2]]]], [[11, 1, 5, 4, 1], [2^(1/2) <
v, u < -v, And(-1 < x,x < 1), y = u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-4, -4], [0, 0], [8, 8], [-4, -4]]]], [[11, 1, 5, 4,
2], [2^(1/2) < v, u < -v, And(-1 < x,x < 1), y = u^2-v^2+x+1, z = -(u^2-v^2+1)
^(1/2)], [regular_chain, [[3, 3], [-4, -4], [0, 0], [8, 8], [-2965821/1048576,
-11863283/4194304]]]], [[11, 1, 5, 4, 3], [2^(1/2) < v, u < -v, And(-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], [-4, -4], [0, 0], [8, 8], [-3/8388608, -3/8388608]]]],
[[11, 1, 5, 4, 4], [2^(1/2) < v, u < -v, And(-1 < x,x < 1), y = u^2-v^2+x+1, z
= (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [0, 0], [8, 8], [
741455/262144, 2965821/1048576]]]], [[11, 1, 5, 4, 5], [2^(1/2) < v, u < -v, 
And(-1 < x,x < 1), y = u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
3, 3], [-4, -4], [0, 0], [8, 8], [4, 4]]]], [[1, 10, 2, 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, 10, 2, 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, 
10, 2, 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, 13, 6, 5, 1], [v < -2^(1/2), -v < u, x = 1, u^2-v^2+2 < y, z
< -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [1, 1], [10, 10], [-\
4, -4]]]], [[1, 13, 6, 5, 2], [v < -2^(1/2), -v < u, x = 1, u^2-v^2+2 < y, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [1, 1], [10, 10], [-\
2965821/1048576, -11863283/4194304]]]], [[1, 13, 6, 5, 3], [v < -2^(1/2), -v <
u, x = 1, u^2-v^2+2 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [4, 4], [1, 1], [10, 10], [-3/8388608, -3/8388608]]]
], [[1, 13, 6, 5, 4], [v < -2^(1/2), -v < u, x = 1, u^2-v^2+2 < y, z = (u^2-v^
2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [1, 1], [10, 10], [741455/
262144, 2965821/1048576]]]], [[1, 13, 6, 5, 5], [v < -2^(1/2), -v < u, x = 1,
u^2-v^2+2 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [4, 4], [1,
1], [10, 10], [4, 4]]]], [[3, 5, 3, 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 < -u^2+v^2-1), -u^2+v^2-x-1 <
y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-\
284633/1048576, -284633/1048576], [2, 2], [0, 0]]]], [[3, 9, 1, 3, 1], [And(-2
^(1/2) < v,v < -1), -v < u, x < -u^2+v^2-1, And(u^2-v^2+x+1 < y,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], [0, 0], [-4, -4]]]], [[3, 9, 1, 3, 2], [And(-2^(
1/2) < v,v < -1), -v < u, x < -u^2+v^2-1, And(u^2-v^2+x+1 < y,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], [0, 0], [-1532401/524288, -24518415/8388608]]]],
[[3, 9, 1, 3, 3], [And(-2^(1/2) < v,v < -1), -v < u, x < -u^2+v^2-1, And(u^2-v
^2+x+1 < y,y < -u^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],
[0, 0], [-7/16777216, -7/16777216]]]], [[3, 9, 1, 3, 4], [And(-2^(1/2) < v,v <
-1), -v < u, x < -u^2+v^2-1, And(u^2-v^2+x+1 < y,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], [0, 0], [3064801/1048576, 1532401/524288]]]], [[3, 9, 1, 3, 5], [
And(-2^(1/2) < v,v < -1), -v < u, x < -u^2+v^2-1, And(u^2-v^2+x+1 < y,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], [0, 0], [4, 4]]]], [[5, 3, 7, 4, 1], [
And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, y = u^2-v^2+x+1, z < -(u^2-v^2+1)
^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [11/4, 11/4], [-2, -2]
]]], [[5, 3, 7, 4, 2], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, y = u^2-v
^2+x+1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [2, 2]
, [11/4, 11/4], [-1816187/2097152, -3632373/4194304]]]], [[5, 3, 7, 4, 3], [
And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, y = u^2-v^2+x+1, And(-(u^2-v^2+1)
^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [2,
2], [11/4, 11/4], [-1/8388608, -1/8388608]]]], [[5, 3, 7, 4, 4], [And(-1 < v,v
< 0), And(v < u,u < -v), 1 < x, y = u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [11/4, 11/4], [908093/1048576, 
454047/524288]]]], [[5, 3, 7, 4, 5], [And(-1 < v,v < 0), And(v < u,u < -v), 1
< x, y = u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [
0, 0], [2, 2], [11/4, 11/4], [2, 2]]]], [[6, 2, 5, 2, 1], [v = 0, u = 0, 1 < x
, y = -1-x, z < -1], [regular_chain, [[0, 0], [0, 0], [2, 2], [-3, -3], [-2, -\
2]]]], [[6, 2, 5, 2, 2], [v = 0, u = 0, 1 < x, y = -1-x, z = -1], [
regular_chain, [[0, 0], [0, 0], [2, 2], [-3, -3], [-1, -1]]]], [[6, 2, 5, 2, 3
], [v = 0, u = 0, 1 < x, y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[0, 0]
, [0, 0], [2, 2], [-3, -3], [0, 0]]]], [[6, 2, 5, 2, 4], [v = 0, u = 0, 1 < x,
y = -1-x, z = 1], [regular_chain, [[0, 0], [0, 0], [2, 2], [-3, -3], [1, 1]]]]
, [[6, 2, 5, 2, 5], [v = 0, u = 0, 1 < x, y = -1-x, 1 < z], [regular_chain, [[
0, 0], [0, 0], [2, 2], [-3, -3], [2, 2]]]], [[9, 3, 6, 4, 1], [And(1 < v,v < 2
^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y = u^2-v^2+2, z < -(u^2-v^2+1
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [1, 1], [749473/524288, 1498947/1048576], [-2, -2]
]]], [[9, 3, 6, 4, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2))
, x = 1, y = u^2-v^2+2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [
749473/524288, 1498947/1048576], [-1374407/2097152, -687203/1048576]]]], [[9,
3, 6, 4, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y
= u^2-v^2+2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [749473/524288, 1498947/1048576], [0, 0]]]], [[9, 3,
6, 4, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y =
u^2-v^2+2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [749473/524288, 
1498947/1048576], [687203/1048576, 171801/262144]]]], [[9, 3, 6, 4, 5], [And(1
< v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y = u^2-v^2+2, (u^2-v
^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [1, 1], [749473/524288, 1498947/1048576],
[2, 2]]]], [[9, 7, 1, 5, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u
< v), x < -1, -u^2+v^2-x-1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-2, -2],
[3, 3], [-2, -2]]]], [[9, 7, 1, 5, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1
/2) < u,u < v), x < -1, -u^2+v^2-x-1 < y, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-2, -2], [3, 3], [-1374407/2097152, -687203/1048576]]]], [[9, 7, 1,
5, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < -1, -u^2+v^2
-x-1 < y, 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
], [3, 3], [0, 0]]]], [[9, 7, 1, 5, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(
1/2) < u,u < v), x < -1, -u^2+v^2-x-1 < y, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-2, -2], [3, 3], [687203/1048576, 171801/262144]]]], [[9, 7, 1, 5,
5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < -1, -u^2+v^2-x-\
1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-2, -2], [3, 3], [2, 2]]]], [[10,
1, 6, 2, 1], [v = 2^(1/2), u < -v, 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, 6, 2, 2], [v = 2^(1/2), u < -v, 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, 6, 2, 3], [v
= 2^(1/2), 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], [-3, -3], [1, 1], [-9, -9
], [-3/8388608, -3/8388608]]]], [[10, 1, 6, 2, 4], [v = 2^(1/2), u < -v, 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, 6, 2, 5], [v = 2^(1/2), u < -v, 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, 5, 3, 3, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(-1 < x,x <
-u^2+1), And(u^2+x-1 < y,y < -u^2-x+1), z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1/2, -1/2], [-1/8, -1/8], [0, 0], [0, 0]]]], [[11,
10, 2, 5, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, 1 < y, z < 0], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1, -1], [2, 2], [-\
1, -1]]]], [[11, 10, 2, 5, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, 1 < y,
z = 0], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1, -1], [
2, 2], [0, 0]]]], [[11, 10, 2, 5, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -1,
1 < y, 0 < z], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1,
-1], [2, 2], [1, 1]]]], [[11, 13, 7, 3, 1], [2^(1/2) < v, v < u, 1 < x, And(-u
^2+v^2-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3,
3], [4, 4], [2, 2], [0, 0], [-4, -4]]]], [[11, 13, 7, 3, 2], [2^(1/2) < v, v <
u, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [4, 4], [2, 2], [0, 0], [-2965821/1048576, -11863283/
4194304]]]], [[11, 13, 7, 3, 3], [2^(1/2) < v, v < u, 1 < x, And(-u^2+v^2-x-1
< y,y < u^2-v^2+x+1), And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[3, 3], [4, 4], [2, 2], [0, 0], [-3/8388608, -3/8388608]]]], [
[11, 13, 7, 3, 4], [2^(1/2) < v, v < u, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^
2+x+1), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [2, 2], [0, 0
], [741455/262144, 2965821/1048576]]]], [[11, 13, 7, 3, 5], [2^(1/2) < v, v <
u, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [4, 4], [2, 2], [0, 0], [4, 4]]]], [[1, 2, 5, 4, 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, 2, 5, 4, 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, 2, 5, 4, 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, 2, 5
, 4, 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, 2, 5, 4, 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, 6, 2, 5, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -1, 2 <
y, z = z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-\
1, -1], [3, 3], [0, 0]]]], [[2, 9, 1, 5, 1], [v = -2^(1/2), And(1 < u,u < -v),
x < -1, -u^2-x+1 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [1265743/1048576, 1265743/1048576], [-2, -2], [3, 3], [-2, -2
]]]], [[2, 9, 1, 5, 2], [v = -2^(1/2), And(1 < u,u < -v), x < -1, -u^2-x+1 < y
, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-2, -2], [3, 3], [-1417877/2097152, -\
354469/524288]]]], [[2, 9, 1, 5, 3], [v = -2^(1/2), And(1 < u,u < -v), x < -1,
-u^2-x+1 < y, 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]
, [3, 3], [0, 0]]]], [[2, 9, 1, 5, 4], [v = -2^(1/2), And(1 < u,u < -v), x < -\
1, -u^2-x+1 < y, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-2, -2], [3, 3], [354469/
524288, 708939/1048576]]]], [[2, 9, 1, 5, 5], [v = -2^(1/2), And(1 < u,u < -v)
, x < -1, -u^2-x+1 < y, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576
, -741455/524288], [1265743/1048576, 1265743/1048576], [-2, -2], [3, 3], [2, 2
]]]], [[3, 1, 6, 3, 1], [And(-2^(1/2) < v,v < -1), u < v, x = 1, And(-u^2+v^2-\
2 < y,y < u^2-v^2+2), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [1, 1], [0, 0], [-4, -4]]]], [[3, 1, 6,
3, 2], [And(-2^(1/2) < v,v < -1), u < v, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2
+2), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [1, 1], [0, 0], [-1532401/524288, -24518415/8388608]]]], [
[3, 1, 6, 3, 3], [And(-2^(1/2) < v,v < -1), u < v, x = 1, And(-u^2+v^2-2 < y,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], [0, 0]
, [-7/16777216, -7/16777216]]]], [[3, 1, 6, 3, 4], [And(-2^(1/2) < v,v < -1),
u < v, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [0, 0]
, [3064801/1048576, 1532401/524288]]]], [[3, 1, 6, 3, 5], [And(-2^(1/2) < v,v
< -1), u < v, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), (u^2-v^2+1)^(1/2) < z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [0,
0], [4, 4]]]], [[4, 3, 6, 1, 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, -3], [-2, -2]]
]], [[4, 3, 6, 1, 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, -3], [-1/2, -1/2]]]], [[4
, 3, 6, 1, 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, -3], [0, 0]]]], [[4,
3, 6, 1, 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, -3], [1/2, 1/2]]]], [[4,
3, 6, 1, 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, -3], [2, 2]]]], [[4, 7, 3
, 4, 1], [v = -1, 1 < u, And(-u^2 < x,x < -1), y = u^2+x, z < -u], [
regular_chain, [[-1, -1], [2, 2], [-5/2, -5/2], [3/2, 3/2], [-3, -3]]]], [[4,
7, 3, 4, 2], [v = -1, 1 < u, And(-u^2 < x,x < -1), y = u^2+x, z = -u], [
regular_chain, [[-1, -1], [2, 2], [-5/2, -5/2], [3/2, 3/2], [-2, -2]]]], [[4,
7, 3, 4, 3], [v = -1, 1 < u, And(-u^2 < x,x < -1), y = u^2+x, And(-u < z,z < u
)], [regular_chain, [[-1, -1], [2, 2], [-5/2, -5/2], [3/2, 3/2], [0, 0]]]], [[
4, 7, 3, 4, 4], [v = -1, 1 < u, And(-u^2 < x,x < -1), y = u^2+x, z = u], [
regular_chain, [[-1, -1], [2, 2], [-5/2, -5/2], [3/2, 3/2], [2, 2]]]], [[4, 7,
3, 4, 5], [v = -1, 1 < u, And(-u^2 < x,x < -1), y = u^2+x, u < z], [
regular_chain, [[-1, -1], [2, 2], [-5/2, -5/2], [3/2, 3/2], [3, 3]]]], [[8, 3,
4, 2, 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, 3, 4, 2, 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, 3, 4, 2, 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, 3, 4, 2, 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, 3, 4, 2, 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, 7, 1, 5, 1], [v = 1, 1 < u, x < -u^2, -u^2-x < y,
z < -u], [regular_chain, [[1, 1], [2, 2], [-5, -5], [2, 2], [-3, -3]]]], [[8,
7, 1, 5, 2], [v = 1, 1 < u, x < -u^2, -u^2-x < y, z = -u], [regular_chain, [[1
, 1], [2, 2], [-5, -5], [2, 2], [-2, -2]]]], [[8, 7, 1, 5, 3], [v = 1, 1 < u,
x < -u^2, -u^2-x < y, And(-u < z,z < u)], [regular_chain, [[1, 1], [2, 2], [-5
, -5], [2, 2], [0, 0]]]], [[8, 7, 1, 5, 4], [v = 1, 1 < u, x < -u^2, -u^2-x <
y, z = u], [regular_chain, [[1, 1], [2, 2], [-5, -5], [2, 2], [2, 2]]]], [[8,
7, 1, 5, 5], [v = 1, 1 < u, x < -u^2, -u^2-x < y, u < z], [regular_chain, [[1,
1], [2, 2], [-5, -5], [2, 2], [3, 3]]]], [[10, 9, 1, 2, 1], [v = 2^(1/2), And(
1 < u,u < v), x < -1, y = u^2+x-1, z < -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-2, -2],
[-3235683/2097152, -1617841/1048576], [-2, -2]]]], [[10, 9, 1, 2, 2], [v = 2^(
1/2), And(1 < u,u < v), x < -1, y = u^2+x-1, z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-2, -2], [-3235683/2097152, -1617841/1048576], [-1417877/2097152, -\
354469/524288]]]], [[10, 9, 1, 2, 3], [v = 2^(1/2), And(1 < u,u < v), 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], [-2, -2],
[-3235683/2097152, -1617841/1048576], [0, 0]]]], [[10, 9, 1, 2, 4], [v = 2^(1/
2), And(1 < u,u < v), x < -1, y = u^2+x-1, z = (u^2-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-2, -2
], [-3235683/2097152, -1617841/1048576], [354469/524288, 708939/1048576]]]], [
[10, 9, 1, 2, 5], [v = 2^(1/2), And(1 < u,u < v), x < -1, y = u^2+x-1, (u^2-1)
^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-2, -2], [-3235683/2097152, -1617841/1048576], [2,
2]]]], [[11, 1, 5, 5, 1], [2^(1/2) < v, u < -v, And(-1 < x,x < 1), u^2-v^2+x+1
< y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [0, 0], [9, 9
], [-4, -4]]]], [[11, 1, 5, 5, 2], [2^(1/2) < v, u < -v, And(-1 < x,x < 1), u^
2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [0,
0], [9, 9], [-2965821/1048576, -11863283/4194304]]]], [[11, 1, 5, 5, 3], [2^(1
/2) < v, u < -v, And(-1 < x,x < 1), u^2-v^2+x+1 < y, And(-(u^2-v^2+1)^(1/2) <
z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [-4, -4], [0, 0], [9, 9],
[-3/8388608, -3/8388608]]]], [[11, 1, 5, 5, 4], [2^(1/2) < v, u < -v, And(-1 <
x,x < 1), u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
4, -4], [0, 0], [9, 9], [741455/262144, 2965821/1048576]]]], [[11, 1, 5, 5, 5]
, [2^(1/2) < v, u < -v, And(-1 < x,x < 1), u^2-v^2+x+1 < y, (u^2-v^2+1)^(1/2)
< z], [regular_chain, [[3, 3], [-4, -4], [0, 0], [9, 9], [4, 4]]]], [[1, 10, 2
, 3, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -1, And(-1 < y,y < 1), z < 0],
[regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1, -1], [0, 0],
[-1, -1]]]], [[1, 10, 2, 3, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -1, And(
-1 < y,y < 1), z = 0], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [-1, -1], [0, 0], [0, 0]]]], [[1, 10, 2, 3, 3], [v < -2^(1/2), u = (
v^2-1)^(1/2), x = -1, And(-1 < y,y < 1), 0 < z], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [-1, -1], [0, 0], [1, 1]]]], [[1, 13, 7, 1, 1
], [v < -2^(1/2), -v < u, 1 < x, y < -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [4, 4], [2, 2], [-11, -11], [-4, -4]]]], [[1, 13, 7,
1, 2], [v < -2^(1/2), -v < u, 1 < x, y < -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)]
, [regular_chain, [[-3, -3], [4, 4], [2, 2], [-11, -11], [-2965821/1048576, -\
11863283/4194304]]]], [[1, 13, 7, 1, 3], [v < -2^(1/2), -v < u, 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], [4, 4], [2, 2], [-11, -11], [-3/8388608, -3/8388608]]]], [[1, 13, 7
, 1, 4], [v < -2^(1/2), -v < u, 1 < x, y < -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)
], [regular_chain, [[-3, -3], [4, 4], [2, 2], [-11, -11], [741455/262144, 
2965821/1048576]]]], [[1, 13, 7, 1, 5], [v < -2^(1/2), -v < u, 1 < x, y < -u^2
+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [4, 4], [2, 2], [
-11, -11], [4, 4]]]], [[3, 5, 3, 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 < -u^2+v^2-1), y = -u^2+v^2-x-1,
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-\
284633/1048576, -284633/1048576], [763943/1048576, 95493/131072], [0, 0]]]], [
[3, 9, 1, 2, 1], [And(-2^(1/2) < v,v < -1), -v < 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, 9, 1, 2, 2], [And(-2^(1/2) < v,v < -1), -v < 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, 9, 1, 2, 3], [And(-2^(1/2) < v,v < -1), -v
< 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, 9, 1, 2, 4], [And(-2^(1/2) < v,v < -1), -v < 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, 9, 1, 2, 5], [And(-2^(1/2) < v,v < -1), -v <
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]]]], [[5, 3, 7, 5, 1], [And(-1 < v,v < 0), And(v < u,u <
-v), 1 < x, u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2,
-1/2], [0, 0], [2, 2], [4, 4], [-2, -2]]]], [[5, 3, 7, 5, 2], [And(-1 < v,v <
0), And(v < u,u < -v), 1 < x, u^2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [4, 4], [-1816187/2097152, -\
3632373/4194304]]]], [[5, 3, 7, 5, 3], [And(-1 < v,v < 0), And(v < u,u < -v),
1 < x, u^2-v^2+x+1 < y, 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], [4, 4], [-1/8388608, -1/8388608]
]]], [[5, 3, 7, 5, 4], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, u^2-v^2+x
+1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [2, 2],
[4, 4], [908093/1048576, 454047/524288]]]], [[5, 3, 7, 5, 5], [And(-1 < v,v <
0), And(v < u,u < -v), 1 < x, u^2-v^2+x+1 < y, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [4, 4], [2, 2]]]], [[6, 2, 5, 3,
1], [v = 0, u = 0, 1 < x, And(-1-x < y,y < x+1), z < -1], [regular_chain, [[0,
0], [0, 0], [2, 2], [0, 0], [-2, -2]]]], [[6, 2, 5, 3, 2], [v = 0, u = 0, 1 <
x, And(-1-x < y,y < x+1), z = -1], [regular_chain, [[0, 0], [0, 0], [2, 2], [0
, 0], [-1, -1]]]], [[6, 2, 5, 3, 3], [v = 0, u = 0, 1 < x, And(-1-x < y,y < x+
1), And(-1 < z,z < 1)], [regular_chain, [[0, 0], [0, 0], [2, 2], [0, 0], [0, 0
]]]], [[6, 2, 5, 3, 4], [v = 0, u = 0, 1 < x, And(-1-x < y,y < x+1), z = 1], [
regular_chain, [[0, 0], [0, 0], [2, 2], [0, 0], [1, 1]]]], [[6, 2, 5, 3, 5], [
v = 0, u = 0, 1 < x, And(-1-x < y,y < x+1), 1 < z], [regular_chain, [[0, 0], [
0, 0], [2, 2], [0, 0], [2, 2]]]], [[9, 3, 6, 3, 1], [And(1 < v,v < 2^(1/2)), 
And(-v < u,u < -(v^2-1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [1, 1], [0, 0], [-2, -2]]]], [[9, 3, 6, 3,
2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1, And(-u^2+v
^2-2 < y,y < u^2-v^2+2), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [0, 0
], [-1374407/2097152, -687203/1048576]]]], [[9, 3, 6, 3, 3], [And(1 < v,v < 2^
(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+
2), And(-(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
], [0, 0], [0, 0]]]], [[9, 3, 6, 3, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u
< -(v^2-1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z = (u^2-v^2+1)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304,
-3949363/4194304], [1, 1], [0, 0], [687203/1048576, 171801/262144]]]], [[9, 3,
6, 3, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1, And(
-u^2+v^2-2 < y,y < u^2-v^2+2), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1
], [0, 0], [2, 2]]]], [[9, 7, 1, 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-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-2, -2], [411695/262144, 1646781/1048576], [-2, -2]]]], [[9, 7, 1,
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-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-2, -2], [411695/262144, 1646781/
1048576], [-1374407/2097152, -687203/1048576]]]], [[9, 7, 1, 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-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], [411695/262144
, 1646781/1048576], [0, 0]]]], [[9, 7, 1, 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-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-2, -2], [411695/262144, 1646781/1048576], [687203/1048576, 171801/
262144]]]], [[9, 7, 1, 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-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-2, -2],
[411695/262144, 1646781/1048576], [2, 2]]]], [[10, 1, 6, 3, 1], [v = 2^(1/2),
u < -v, x = 1, And(-u^2 < y,y < u^2), z < -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [1, 1], [0, 0], [-4, -4]]]], [[10,
1, 6, 3, 2], [v = 2^(1/2), u < -v, x = 1, And(-u^2 < y,y < u^2), z = -(u^2-1)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [1, 1], [
0, 0], [-2965821/1048576, -11863283/4194304]]]], [[10, 1, 6, 3, 3], [v = 2^(1/
2), u < -v, x = 1, And(-u^2 < y,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], [
0, 0], [-3/8388608, -3/8388608]]]], [[10, 1, 6, 3, 4], [v = 2^(1/2), u < -v, x
= 1, And(-u^2 < y,y < u^2), z = (u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [1, 1], [0, 0], [741455/262144, 2965821/
1048576]]]], [[10, 1, 6, 3, 5], [v = 2^(1/2), u < -v, x = 1, And(-u^2 < y,y <
u^2), (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
-3, -3], [1, 1], [0, 0], [4, 4]]]], [[10, 5, 3, 4, 1], [v = 2^(1/2), And(-1 <
u,u < 0), And(-1 < x,x < -u^2+1), y = -u^2-x+1, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1/2, -1/2], [-1/8, -1/8], [7/8, 7/8], [0, 0
]]]], [[11, 10, 2, 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, 10, 2, 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, 10, 2, 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, 13, 7, 2, 1], [2^(1/2) < v, v < u, 1 < x,
y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [2
, 2], [-10, -10], [-4, -4]]]], [[11, 13, 7, 2, 2], [2^(1/2) < v, v < u, 1 < x,
y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [2
, 2], [-10, -10], [-2965821/1048576, -11863283/4194304]]]], [[11, 13, 7, 2, 3]
, [2^(1/2) < v, v < u, 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], [4, 4], [2, 2], [-10, -10], [-3/
8388608, -3/8388608]]]], [[11, 13, 7, 2, 4], [2^(1/2) < v, v < u, 1 < x, y = -
u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [2, 2],
[-10, -10], [741455/262144, 2965821/1048576]]]], [[11, 13, 7, 2, 5], [2^(1/2)
< v, v < u, 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [
[3, 3], [4, 4], [2, 2], [-10, -10], [4, 4]]]], [[1, 2, 5, 1, 1], [v < -2^(1/2)
, u = v, 1 < x, y < -1-x, z < -1], [regular_chain, [[-3, -3], [-3, -3], [2, 2]
, [-4, -4], [-2, -2]]]], [[1, 2, 5, 1, 2], [v < -2^(1/2), u = v, 1 < x, y < -1
-x, z = -1], [regular_chain, [[-3, -3], [-3, -3], [2, 2], [-4, -4], [-1, -1]]]
], [[1, 2, 5, 1, 3], [v < -2^(1/2), u = v, 1 < x, y < -1-x, And(-1 < z,z < 1)]
, [regular_chain, [[-3, -3], [-3, -3], [2, 2], [-4, -4], [0, 0]]]], [[1, 2, 5,
1, 4], [v < -2^(1/2), u = v, 1 < x, y < -1-x, z = 1], [regular_chain, [[-3, -3
], [-3, -3], [2, 2], [-4, -4], [1, 1]]]], [[1, 2, 5, 1, 5], [v < -2^(1/2), u =
v, 1 < x, y < -1-x, 1 < z], [regular_chain, [[-3, -3], [-3, -3], [2, 2], [-4,
-4], [2, 2]]]], [[1, 6, 3, 1, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-1 <
x,x < 1), y < x-1, z = z], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [0, 0], [-2, -2], [0, 0]]]], [[2, 9, 1, 4, 1], [v = -2^(1/2)
, And(1 < u,u < -v), x < -1, y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-2
, -2], [1617841/1048576, 808921/524288], [-2, -2]]]], [[2, 9, 1, 4, 2], [v = -
2^(1/2), And(1 < u,u < -v), x < -1, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-2, -2], [1617841/1048576, 808921/524288], [-1417877/2097152, -\
354469/524288]]]], [[2, 9, 1, 4, 3], [v = -2^(1/2), And(1 < u,u < -v), 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], [-2, -2]
, [1617841/1048576, 808921/524288], [0, 0]]]], [[2, 9, 1, 4, 4], [v = -2^(1/2)
, And(1 < u,u < -v), x < -1, y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-2,
-2], [1617841/1048576, 808921/524288], [354469/524288, 708939/1048576]]]], [[2
, 9, 1, 4, 5], [v = -2^(1/2), And(1 < u,u < -v), x < -1, y = -u^2-x+1, (u^2-1)
^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [-2, -2], [1617841/1048576, 808921/524288], [2, 2]]
]], [[3, 1, 7, 1, 1], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [2, 2], [-12, -12], [-4, -4]]]], [[3, 1, 7, 1, 2], [And(-2
^(1/2) < v,v < -1), 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], [-3, -3], [2, 2], [-12,
-12], [-1532401/524288, -24518415/8388608]]]], [[3, 1, 7, 1, 3], [And(-2^(1/2)
< v,v < -1), 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], [-3,
-3], [2, 2], [-12, -12], [-7/16777216, -7/16777216]]]], [[3, 1, 7, 1, 4], [And
(-2^(1/2) < v,v < -1), 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], [-3, -3], [2, 2], [-12,
-12], [3064801/1048576, 1532401/524288]]]], [[3, 1, 7, 1, 5], [And(-2^(1/2) <
v,v < -1), 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], [-3, -3], [2, 2], [-12,
-12], [4, 4]]]], [[4, 3, 5, 3, 1], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x
< 1), And(-u^2-x < y,y < u^2+x), z < u], [regular_chain, [[-1, -1], [-1/2, -1/
2], [3/8, 3/8], [0, 0], [-2, -2]]]], [[4, 3, 5, 3, 2], [v = -1, And(-1 < u,u <
0), And(-u^2 < x,x < 1), And(-u^2-x < y,y < u^2+x), z = u], [regular_chain, [[
-1, -1], [-1/2, -1/2], [3/8, 3/8], [0, 0], [-1/2, -1/2]]]], [[4, 3, 5, 3, 3],
[v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 1), And(-u^2-x < y,y < u^2+x), 
And(u < z,z < -u)], [regular_chain, [[-1, -1], [-1/2, -1/2], [3/8, 3/8], [0, 0
], [0, 0]]]], [[4, 3, 5, 3, 4], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 1
), And(-u^2-x < y,y < u^2+x), z = -u], [regular_chain, [[-1, -1], [-1/2, -1/2]
, [3/8, 3/8], [0, 0], [1/2, 1/2]]]], [[4, 3, 5, 3, 5], [v = -1, And(-1 < u,u <
0), And(-u^2 < x,x < 1), And(-u^2-x < y,y < u^2+x), -u < z], [regular_chain, [
[-1, -1], [-1/2, -1/2], [3/8, 3/8], [0, 0], [2, 2]]]], [[4, 7, 3, 5, 1], [v =
-1, 1 < u, And(-u^2 < x,x < -1), u^2+x < y, z < -u], [regular_chain, [[-1, -1]
, [2, 2], [-5/2, -5/2], [3, 3], [-3, -3]]]], [[4, 7, 3, 5, 2], [v = -1, 1 < u,
And(-u^2 < x,x < -1), u^2+x < y, z = -u], [regular_chain, [[-1, -1], [2, 2], [
-5/2, -5/2], [3, 3], [-2, -2]]]], [[4, 7, 3, 5, 3], [v = -1, 1 < u, And(-u^2 <
x,x < -1), u^2+x < y, And(-u < z,z < u)], [regular_chain, [[-1, -1], [2, 2], [
-5/2, -5/2], [3, 3], [0, 0]]]], [[4, 7, 3, 5, 4], [v = -1, 1 < u, And(-u^2 < x
,x < -1), u^2+x < y, z = u], [regular_chain, [[-1, -1], [2, 2], [-5/2, -5/2],
[3, 3], [2, 2]]]], [[4, 7, 3, 5, 5], [v = -1, 1 < u, And(-u^2 < x,x < -1), u^2
+x < y, u < z], [regular_chain, [[-1, -1], [2, 2], [-5/2, -5/2], [3, 3], [3, 3
]]]], [[8, 3, 4, 1, 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], [-1, -1], [-2, -2]]]], [[8
, 3, 4, 1, 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], [-1, -1], [-1/2, -1/2]]]],
[[8, 3, 4, 1, 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], [-1, -1], [0, 0]]]],
[[8, 3, 4, 1, 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], [-1, -1], [1/2, 1/2]]]], [
[8, 3, 4, 1, 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], [-1, -1], [2, 2]]]], [[8,
7, 2, 3, 1], [v = 1, 1 < u, x = -u^2, 0 < y, z < -u], [regular_chain, [[1, 1],
[2, 2], [-4, -4], [1, 1], [-3, -3]]]], [[8, 7, 2, 3, 2], [v = 1, 1 < u, x = -u
^2, 0 < y, z = -u], [regular_chain, [[1, 1], [2, 2], [-4, -4], [1, 1], [-2, -2
]]]], [[8, 7, 2, 3, 3], [v = 1, 1 < u, x = -u^2, 0 < y, And(-u < z,z < u)], [
regular_chain, [[1, 1], [2, 2], [-4, -4], [1, 1], [0, 0]]]], [[8, 7, 2, 3, 4],
[v = 1, 1 < u, x = -u^2, 0 < y, z = u], [regular_chain, [[1, 1], [2, 2], [-4,
-4], [1, 1], [2, 2]]]], [[8, 7, 2, 3, 5], [v = 1, 1 < u, x = -u^2, 0 < y, u <
z], [regular_chain, [[1, 1], [2, 2], [-4, -4], [1, 1], [3, 3]]]], [[10, 8, 7,
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, 7, 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, 7, 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]]]], [[11, 1, 6, 1, 1], [2^(1/2) < v,
u < -v, x = 1, y < -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3
], [-4, -4], [1, 1], [-10, -10], [-4, -4]]]], [[11, 1, 6, 1, 2], [2^(1/2) < v,
u < -v, x = 1, y < -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3
], [-4, -4], [1, 1], [-10, -10], [-2965821/1048576, -11863283/4194304]]]], [[
11, 1, 6, 1, 3], [2^(1/2) < v, 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], [-4, -4], [1, 1],
[-10, -10], [-3/8388608, -3/8388608]]]], [[11, 1, 6, 1, 4], [2^(1/2) < v, u <
-v, x = 1, y < -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
4, -4], [1, 1], [-10, -10], [741455/262144, 2965821/1048576]]]], [[11, 1, 6, 1
, 5], [2^(1/2) < v, u < -v, x = 1, y < -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-4, -4], [1, 1], [-10, -10], [4, 4]]]], [[1, 10, 1, 5
, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -1, -x < y, z < 0], [regular_chain
, [[-3, -3], [741455/262144, 2965821/1048576], [-2, -2], [3, 3], [-1, -1]]]],
[[1, 10, 1, 5, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -1, -x < y, z = 0], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-2, -2], [3, 3],
[0, 0]]]], [[1, 10, 1, 5, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -1, -x < y
, 0 < z], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-2, -2
], [3, 3], [1, 1]]]], [[1, 13, 7, 2, 1], [v < -2^(1/2), -v < u, 1 < x, y = -u^
2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [2, 2],
[-10, -10], [-4, -4]]]], [[1, 13, 7, 2, 2], [v < -2^(1/2), -v < u, 1 < x, y =
-u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [2,
2], [-10, -10], [-2965821/1048576, -11863283/4194304]]]], [[1, 13, 7, 2, 3], [
v < -2^(1/2), -v < u, 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], [4, 4], [2, 2], [-10, -10], [-\
3/8388608, -3/8388608]]]], [[1, 13, 7, 2, 4], [v < -2^(1/2), -v < u, 1 < x, y
= -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [2,
2], [-10, -10], [741455/262144, 2965821/1048576]]]], [[1, 13, 7, 2, 5], [v < -
2^(1/2), -v < u, 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [4, 4], [2, 2], [-10, -10], [4, 4]]]], [[3, 5, 3, 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 < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -u^2+v^2-x-1), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-284633/1048576
, -284633/1048576], [-1/4194304, -1/4194304], [0, 0]]]], [[3, 9, 1, 5, 1], [
And(-2^(1/2) < v,v < -1), -v < u, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, z < -(u^2-
v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3],
[-10, -10], [3, 3], [-4, -4]]]], [[3, 9, 1, 5, 2], [And(-2^(1/2) < v,v < -1),
-v < u, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10, -10], [3,
3], [-1532401/524288, -24518415/8388608]]]], [[3, 9, 1, 5, 3], [And(-2^(1/2) <
v,v < -1), -v < u, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, 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], [3, 3], [-7/16777216, -7/16777216]]]], [[3, 9, 1
, 5, 4], [And(-2^(1/2) < v,v < -1), -v < u, x < -u^2+v^2-1, -u^2+v^2-x-1 < y,
z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[3, 3], [-10, -10], [3, 3], [3064801/1048576, 1532401/524288]]]], [[3, 9, 1, 5
, 5], [And(-2^(1/2) < v,v < -1), -v < u, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, (u^
2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3
, 3], [-10, -10], [3, 3], [4, 4]]]], [[5, 3, 7, 2, 1], [And(-1 < v,v < 0), And
(v < u,u < -v), 1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [-11/4, -11/4], [-2, -2]]]], [[5
, 3, 7, 2, 2], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, y = -u^2+v^2-x-1,
z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [-11/4
, -11/4], [-1816187/2097152, -3632373/4194304]]]], [[5, 3, 7, 2, 3], [And(-1 <
v,v < 0), And(v < u,u < -v), 1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) <
z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [-11
/4, -11/4], [-1/8388608, -1/8388608]]]], [[5, 3, 7, 2, 4], [And(-1 < v,v < 0),
And(v < u,u < -v), 1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [-11/4, -11/4], [908093/1048576,
454047/524288]]]], [[5, 3, 7, 2, 5], [And(-1 < v,v < 0), And(v < u,u < -v), 1
< x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2],
[0, 0], [2, 2], [-11/4, -11/4], [2, 2]]]], [[6, 2, 5, 4, 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, 2, 5, 4, 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, 2, 5, 4, 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, 2, 5, 4, 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, 2
, 5, 4, 5], [v = 0, u = 0, 1 < x, y = x+1, 1 < z], [regular_chain, [[0, 0], [0
, 0], [2, 2], [3, 3], [2, 2]]]], [[9, 3, 6, 2, 1], [And(1 < v,v < 2^(1/2)), 
And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [-1498947/1048576, -749473/524288], [-2, -2]]]], [[9
, 3, 6, 2, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1,
y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [-1498947/
1048576, -749473/524288], [-1374407/2097152, -687203/1048576]]]], [[9, 3, 6, 2
, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2
+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1
], [-1498947/1048576, -749473/524288], [0, 0]]]], [[9, 3, 6, 2, 4], [And(1 < v
,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, z = (u^2
-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363
/4194304, -3949363/4194304], [1, 1], [-1498947/1048576, -749473/524288], [
687203/1048576, 171801/262144]]]], [[9, 3, 6, 2, 5], [And(1 < v,v < 2^(1/2)),
And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [-1498947/1048576, -749473/524288], [2, 2]]]], [[9,
7, 2, 2, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, y
= u^2-v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [987341/1048576, 987341/1048576], [-1, -1], [-598205/1048576, -\
1196409/2097152], [-2, -2]]]], [[9, 7, 2, 2, 2], [And(1 < v,v < 2^(1/2)), And(
(v^2-1)^(1/2) < u,u < v), x = -1, y = u^2-v^2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [-598205/1048576, -1196409/2097152], [-1374407/2097152, -\
687203/1048576]]]], [[9, 7, 2, 2, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/
2) < u,u < v), x = -1, y = u^2-v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)
^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576
, 987341/1048576], [-1, -1], [-598205/1048576, -1196409/2097152], [0, 0]]]], [
[9, 7, 2, 2, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1
, y = u^2-v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1], [-598205/1048576
, -1196409/2097152], [687203/1048576, 171801/262144]]]], [[9, 7, 2, 2, 5], [
And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, y = u^2-v^2, (u^
2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-1, -1], [-598205/1048576, -1196409/2097152]
, [2, 2]]]], [[10, 1, 5, 5, 1], [v = 2^(1/2), u < -v, And(-1 < x,x < 1), u^2+x
-1 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-3, -3], [0, 0], [9, 9], [-4, -4]]]], [[10, 1, 5, 5, 2], [v = 2^(1/2), u <
-v, And(-1 < x,x < 1), u^2+x-1 < y, z = -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [0, 0], [9, 9], [-2965821/1048576,
-11863283/4194304]]]], [[10, 1, 5, 5, 3], [v = 2^(1/2), u < -v, And(-1 < x,x <
1), u^2+x-1 < y, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [
[741455/524288, 1482911/1048576], [-3, -3], [0, 0], [9, 9], [-3/8388608, -3/
8388608]]]], [[10, 1, 5, 5, 4], [v = 2^(1/2), u < -v, And(-1 < x,x < 1), u^2+x
-1 < y, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-3, -3], [0, 0], [9, 9], [741455/262144, 2965821/1048576]]]], [[10, 1, 5, 5,
5], [v = 2^(1/2), u < -v, And(-1 < x,x < 1), u^2+x-1 < y, (u^2-1)^(1/2) < z],
[regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [0, 0], [9, 9], [
4, 4]]]], [[10, 5, 3, 5, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < -
u^2+1), -u^2-x+1 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576
], [-1/2, -1/2], [-1/8, -1/8], [2, 2], [0, 0]]]], [[11, 10, 2, 3, 1], [2^(1/2)
< v, u = (v^2-1)^(1/2), x = -1, And(-1 < y,y < 1), z < 0], [regular_chain, [[3
, 3], [741455/262144, 2965821/1048576], [-1, -1], [0, 0], [-1, -1]]]], [[11, 
10, 2, 3, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, And(-1 < y,y < 1), z =
0], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1, -1], [0, 0
], [0, 0]]]], [[11, 10, 2, 3, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, And
(-1 < y,y < 1), 0 < z], [regular_chain, [[3, 3], [741455/262144, 2965821/
1048576], [-1, -1], [0, 0], [1, 1]]]], [[11, 13, 7, 5, 1], [2^(1/2) < v, v < u
, 1 < x, u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4
, 4], [2, 2], [11, 11], [-4, -4]]]], [[11, 13, 7, 5, 2], [2^(1/2) < v, v < u,
1 < x, u^2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4,
4], [2, 2], [11, 11], [-2965821/1048576, -11863283/4194304]]]], [[11, 13, 7, 5
, 3], [2^(1/2) < v, v < u, 1 < x, u^2-v^2+x+1 < y, And(-(u^2-v^2+1)^(1/2) < z,
z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [4, 4], [2, 2], [11, 11], [-\
3/8388608, -3/8388608]]]], [[11, 13, 7, 5, 4], [2^(1/2) < v, v < u, 1 < x, u^2
-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [2, 2],
[11, 11], [741455/262144, 2965821/1048576]]]], [[11, 13, 7, 5, 5], [2^(1/2) <
v, v < u, 1 < x, u^2-v^2+x+1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3,
3], [4, 4], [2, 2], [11, 11], [4, 4]]]], [[1, 2, 5, 2, 1], [v < -2^(1/2), u =
v, 1 < x, y = -1-x, z < -1], [regular_chain, [[-3, -3], [-3, -3], [2, 2], [-3,
-3], [-2, -2]]]], [[1, 2, 5, 2, 2], [v < -2^(1/2), u = v, 1 < x, y = -1-x, z =
-1], [regular_chain, [[-3, -3], [-3, -3], [2, 2], [-3, -3], [-1, -1]]]], [[1,
2, 5, 2, 3], [v < -2^(1/2), u = v, 1 < x, y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[-3, -3], [-3, -3], [2, 2], [-3, -3], [0, 0]]]], [[1, 2, 5, 2,
4], [v < -2^(1/2), u = v, 1 < x, y = -1-x, z = 1], [regular_chain, [[-3, -3],
[-3, -3], [2, 2], [-3, -3], [1, 1]]]], [[1, 2, 5, 2, 5], [v < -2^(1/2), u = v,
1 < x, y = -1-x, 1 < z], [regular_chain, [[-3, -3], [-3, -3], [2, 2], [-3, -3]
, [2, 2]]]], [[1, 6, 3, 2, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-1 < x,x
< 1), y = x-1, z = z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/
1048576], [0, 0], [-1, -1], [0, 0]]]], [[2, 9, 1, 3, 1], [v = -2^(1/2), And(1
< u,u < -v), x < -1, And(u^2+x-1 < y,y < -u^2-x+1), z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-2, -2], [0, 0], [-2, -2]]]], [[2, 9, 1, 3, 2], [v = -2^(1/2), And(
1 < u,u < -v), x < -1, And(u^2+x-1 < y,y < -u^2-x+1), z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-2, -2], [0, 0], [-1417877/2097152, -354469/524288]]]], [[2, 9, 1,
3, 3], [v = -2^(1/2), And(1 < u,u < -v), x < -1, And(u^2+x-1 < y,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], [0, 0]
, [0, 0]]]], [[2, 9, 1, 3, 4], [v = -2^(1/2), And(1 < u,u < -v), x < -1, And(u
^2+x-1 < y,y < -u^2-x+1), z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-2, -2], [0, 0]
, [354469/524288, 708939/1048576]]]], [[2, 9, 1, 3, 5], [v = -2^(1/2), And(1 <
u,u < -v), x < -1, And(u^2+x-1 < y,y < -u^2-x+1), (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-2, -2], [0, 0], [2, 2]]]], [[3, 1, 6, 5, 1], [And(-2^(1/2) < v,v <
-1), u < v, x = 1, u^2-v^2+2 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [11, 11], [-4, -4]]]], [
[3, 1, 6, 5, 2], [And(-2^(1/2) < v,v < -1), u < v, x = 1, u^2-v^2+2 < y, z = -
(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3
, -3], [1, 1], [11, 11], [-1532401/524288, -24518415/8388608]]]], [[3, 1, 6, 5
, 3], [And(-2^(1/2) < v,v < -1), u < v, x = 1, u^2-v^2+2 < y, 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], [11, 11], [-7/16777216, -7/16777216]]]], [
[3, 1, 6, 5, 4], [And(-2^(1/2) < v,v < -1), u < v, x = 1, u^2-v^2+2 < y, z = (
u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3,
-3], [1, 1], [11, 11], [3064801/1048576, 1532401/524288]]]], [[3, 1, 6, 5, 5],
[And(-2^(1/2) < v,v < -1), u < v, x = 1, u^2-v^2+2 < y, (u^2-v^2+1)^(1/2) < z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [11
, 11], [4, 4]]]], [[4, 3, 5, 4, 1], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x
< 1), y = u^2+x, z < u], [regular_chain, [[-1, -1], [-1/2, -1/2], [3/8, 3/8],
[5/8, 5/8], [-2, -2]]]], [[4, 3, 5, 4, 2], [v = -1, And(-1 < u,u < 0), And(-u^
2 < x,x < 1), y = u^2+x, z = u], [regular_chain, [[-1, -1], [-1/2, -1/2], [3/8
, 3/8], [5/8, 5/8], [-1/2, -1/2]]]], [[4, 3, 5, 4, 3], [v = -1, And(-1 < u,u <
0), And(-u^2 < x,x < 1), y = u^2+x, And(u < z,z < -u)], [regular_chain, [[-1,
-1], [-1/2, -1/2], [3/8, 3/8], [5/8, 5/8], [0, 0]]]], [[4, 3, 5, 4, 4], [v = -\
1, And(-1 < u,u < 0), And(-u^2 < x,x < 1), y = u^2+x, z = -u], [regular_chain,
[[-1, -1], [-1/2, -1/2], [3/8, 3/8], [5/8, 5/8], [1/2, 1/2]]]], [[4, 3, 5, 4,
5], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 1), y = u^2+x, -u < z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [3/8, 3/8], [5/8, 5/8], [2, 2]]]], [[4
, 7, 4, 1, 1], [v = -1, 1 < u, x = -1, y < -u^2+1, z < -u], [regular_chain, [[
-1, -1], [2, 2], [-1, -1], [-4, -4], [-3, -3]]]], [[4, 7, 4, 1, 2], [v = -1, 1
< u, x = -1, y < -u^2+1, z = -u], [regular_chain, [[-1, -1], [2, 2], [-1, -1],
[-4, -4], [-2, -2]]]], [[4, 7, 4, 1, 3], [v = -1, 1 < u, x = -1, y < -u^2+1, 
And(-u < z,z < u)], [regular_chain, [[-1, -1], [2, 2], [-1, -1], [-4, -4], [0,
0]]]], [[4, 7, 4, 1, 4], [v = -1, 1 < u, x = -1, y < -u^2+1, z = u], [
regular_chain, [[-1, -1], [2, 2], [-1, -1], [-4, -4], [2, 2]]]], [[4, 7, 4, 1,
5], [v = -1, 1 < u, x = -1, y < -u^2+1, u < z], [regular_chain, [[-1, -1], [2,
2], [-1, -1], [-4, -4], [3, 3]]]], [[8, 3, 3, 5, 1], [v = 1, And(-1 < u,u < 0)
, And(-1 < x,x < -u^2), -u^2-x < y, z < u], [regular_chain, [[1, 1], [-1/2, -1
/2], [-5/8, -5/8], [2, 2], [-2, -2]]]], [[8, 3, 3, 5, 2], [v = 1, And(-1 < u,u
< 0), And(-1 < x,x < -u^2), -u^2-x < y, z = u], [regular_chain, [[1, 1], [-1/2
, -1/2], [-5/8, -5/8], [2, 2], [-1/2, -1/2]]]], [[8, 3, 3, 5, 3], [v = 1, And(
-1 < u,u < 0), And(-1 < x,x < -u^2), -u^2-x < y, And(u < z,z < -u)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [2, 2], [0, 0]]]], [[8, 3,
3, 5, 4], [v = 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), -u^2-x < y, z = -u]
, [regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [2, 2], [1/2, 1/2]]]],
[[8, 3, 3, 5, 5], [v = 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), -u^2-x < y,
-u < z], [regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [2, 2], [2, 2]]]
], [[8, 7, 2, 2, 1], [v = 1, 1 < u, x = -u^2, y = 0, z < -u], [regular_chain,
[[1, 1], [2, 2], [-4, -4], [0, 0], [-3, -3]]]], [[8, 7, 2, 2, 2], [v = 1, 1 <
u, x = -u^2, y = 0, z = -u], [regular_chain, [[1, 1], [2, 2], [-4, -4], [0, 0]
, [-2, -2]]]], [[8, 7, 2, 2, 3], [v = 1, 1 < u, x = -u^2, y = 0, And(-u < z,z
< u)], [regular_chain, [[1, 1], [2, 2], [-4, -4], [0, 0], [0, 0]]]], [[8, 7, 2
, 2, 4], [v = 1, 1 < u, x = -u^2, y = 0, z = u], [regular_chain, [[1, 1], [2,
2], [-4, -4], [0, 0], [2, 2]]]], [[8, 7, 2, 2, 5], [v = 1, 1 < u, x = -u^2, y
= 0, u < z], [regular_chain, [[1, 1], [2, 2], [-4, -4], [0, 0], [3, 3]]]], [[
10, 8, 7, 5, 1], [v = 2^(1/2), u = 1, 1 < x, x < y, z < 0], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [2, 2], [3, 3], [-1, -1]]]], [[10, 8,
7, 5, 2], [v = 2^(1/2), u = 1, 1 < x, x < y, z = 0], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [2, 2], [3, 3], [0, 0]]]], [[10, 8, 7, 5, 3]
, [v = 2^(1/2), u = 1, 1 < x, x < y, 0 < z], [regular_chain, [[741455/524288,
1482911/1048576], [1, 1], [2, 2], [3, 3], [1, 1]]]], [[11, 1, 6, 2, 1], [2^(1/
2) < v, u < -v, x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain
, [[3, 3], [-4, -4], [1, 1], [-9, -9], [-4, -4]]]], [[11, 1, 6, 2, 2], [2^(1/2
) < v, u < -v, x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain,
[[3, 3], [-4, -4], [1, 1], [-9, -9], [-2965821/1048576, -11863283/4194304]]]],
[[11, 1, 6, 2, 3], [2^(1/2) < v, 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], [-4, -4], [1, 1
], [-9, -9], [-3/8388608, -3/8388608]]]], [[11, 1, 6, 2, 4], [2^(1/2) < v, u <
-v, x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
4, -4], [1, 1], [-9, -9], [741455/262144, 2965821/1048576]]]], [[11, 1, 6, 2,
5], [2^(1/2) < v, u < -v, x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-4, -4], [1, 1], [-9, -9], [4, 4]]]], [[1, 10, 2, 1,
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], [-2, -2], [-1, -1]]]],
[[1, 10, 2, 1, 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], [-2, -2]
, [0, 0]]]], [[1, 10, 2, 1, 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], [-2, -2], [1, 1]]]], [[1, 13, 7, 3, 1], [v < -2^(1/2), -v < u, 1 < x, And
(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [
[-3, -3], [4, 4], [2, 2], [0, 0], [-4, -4]]]], [[1, 13, 7, 3, 2], [v < -2^(1/2
), -v < u, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2
)], [regular_chain, [[-3, -3], [4, 4], [2, 2], [0, 0], [-2965821/1048576, -\
11863283/4194304]]]], [[1, 13, 7, 3, 3], [v < -2^(1/2), -v < u, 1 < x, And(-u^
2+v^2-x-1 < y,y < u^2-v^2+x+1), And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/
2))], [regular_chain, [[-3, -3], [4, 4], [2, 2], [0, 0], [-3/8388608, -3/
8388608]]]], [[1, 13, 7, 3, 4], [v < -2^(1/2), -v < u, 1 < x, And(-u^2+v^2-x-1
< y,y < u^2-v^2+x+1), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4
], [2, 2], [0, 0], [741455/262144, 2965821/1048576]]]], [[1, 13, 7, 3, 5], [v
< -2^(1/2), -v < u, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^
(1/2) < z], [regular_chain, [[-3, -3], [4, 4], [2, 2], [0, 0], [4, 4]]]], [[3,
5, 3, 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 < -u^2+v^2-1), y = u^2-v^2+x+1, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-284633/1048576, -284633/1048576]
, [-95493/131072, -1527887/2097152], [0, 0]]]], [[3, 9, 1, 4, 1], [And(-2^(1/2
) < v,v < -1), -v < u, x < -u^2+v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10, -10],
[763943/524288, 1527887/1048576], [-4, -4]]]], [[3, 9, 1, 4, 2], [And(-2^(1/2)
< v,v < -1), -v < u, x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10, -10], [
763943/524288, 1527887/1048576], [-1532401/524288, -24518415/8388608]]]], [[3,
9, 1, 4, 3], [And(-2^(1/2) < v,v < -1), -v < u, x < -u^2+v^2-1, y = -u^2+v^2-x
-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [-10, -10], [763943/524288, 
1527887/1048576], [-7/16777216, -7/16777216]]]], [[3, 9, 1, 4, 4], [And(-2^(1/
2) < v,v < -1), -v < u, x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10, -10],
[763943/524288, 1527887/1048576], [3064801/1048576, 1532401/524288]]]], [[3, 9
, 1, 4, 5], [And(-2^(1/2) < v,v < -1), -v < u, x < -u^2+v^2-1, y = -u^2+v^2-x-\
1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [-10, -10], [763943/524288, 1527887/1048576], [4, 4]]]], [[5
, 3, 7, 3, 1], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, And(-u^2+v^2-x-1
< y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[0, 0], [2, 2], [0, 0], [-2, -2]]]], [[5, 3, 7, 3, 2], [And(-1 < v,v < 0), And
(v < u,u < -v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)
^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [0, 0], [-1816187/
2097152, -3632373/4194304]]]], [[5, 3, 7, 3, 3], [And(-1 < v,v < 0), And(v < u
,u < -v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), And(-(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], [0
, 0], [-1/8388608, -1/8388608]]]], [[5, 3, 7, 3, 4], [And(-1 < v,v < 0), And(v
< u,u < -v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2-v^2+1)^(1/
2)], [regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [0, 0], [908093/1048576, 
454047/524288]]]], [[5, 3, 7, 3, 5], [And(-1 < v,v < 0), And(v < u,u < -v), 1
< x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [0, 0], [2, 2]]]], [[6, 2, 5, 5,
1], [v = 0, u = 0, 1 < x, x+1 < y, z < -1], [regular_chain, [[0, 0], [0, 0], [
2, 2], [4, 4], [-2, -2]]]], [[6, 2, 5, 5, 2], [v = 0, u = 0, 1 < x, x+1 < y, z
= -1], [regular_chain, [[0, 0], [0, 0], [2, 2], [4, 4], [-1, -1]]]], [[6, 2, 5
, 5, 3], [v = 0, u = 0, 1 < x, x+1 < y, And(-1 < z,z < 1)], [regular_chain, [[
0, 0], [0, 0], [2, 2], [4, 4], [0, 0]]]], [[6, 2, 5, 5, 4], [v = 0, u = 0, 1 <
x, x+1 < y, z = 1], [regular_chain, [[0, 0], [0, 0], [2, 2], [4, 4], [1, 1]]]]
, [[6, 2, 5, 5, 5], [v = 0, u = 0, 1 < x, x+1 < y, 1 < z], [regular_chain, [[0
, 0], [0, 0], [2, 2], [4, 4], [2, 2]]]], [[9, 3, 6, 1, 1], [And(1 < v,v < 2^(1
/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y < -u^2+v^2-2, z < -(u^2-v^2+1)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304
, -3949363/4194304], [1, 1], [-3, -3], [-2, -2]]]], [[9, 3, 6, 1, 2], [And(1 <
v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y < -u^2+v^2-2, z = -(u
^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [1, 1], [-3, -3], [-1374407/2097152, -\
687203/1048576]]]], [[9, 3, 6, 1, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u <
-(v^2-1)^(1/2)), x = 1, y < -u^2+v^2-2, And(-(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], [-3, -3], [0, 0]]]], [[9, 3, 6, 1, 4], [
And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y < -u^2+v^2-2,
z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-3949363/4194304, -3949363/4194304], [1, 1], [-3, -3], [687203/1048576, 171801
/262144]]]], [[9, 3, 6, 1, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1
)^(1/2)), x = 1, y < -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1
], [-3, -3], [2, 2]]]], [[9, 7, 2, 1, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)
^(1/2) < u,u < v), x = -1, y < u^2-v^2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [-2, -2], [-2, -2]]]], [[9, 7, 2, 1, 2], [And(1 < v,v < 2^
(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, y < u^2-v^2, z = -(u^2-v^2+1)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [-1, -1], [-2, -2], [-1374407/2097152, -687203/1048576]]]], [
[9, 7, 2, 1, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1
, y < u^2-v^2, And(-(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], [-2, -2], [0, 0]]]], [[9, 7, 2, 1, 4], [And(1 < v,v < 2^(1
/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, y < u^2-v^2, z = (u^2-v^2+1)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [-1, -1], [-2, -2], [687203/1048576, 171801/262144]]]], [[9,
7, 2, 1, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, y
< u^2-v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-1, -1], [-2, -2], [2, 2]]]], [[
10, 1, 6, 1, 1], [v = 2^(1/2), u < -v, x = 1, y < -u^2, z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [1, 1], [-10, -10]
, [-4, -4]]]], [[10, 1, 6, 1, 2], [v = 2^(1/2), u < -v, x = 1, y < -u^2, z = -
(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [
1, 1], [-10, -10], [-2965821/1048576, -11863283/4194304]]]], [[10, 1, 6, 1, 3]
, [v = 2^(1/2), 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], [-3, -3], [1, 1], [-\
10, -10], [-3/8388608, -3/8388608]]]], [[10, 1, 6, 1, 4], [v = 2^(1/2), u < -v
, x = 1, y < -u^2, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [1, 1], [-10, -10], [741455/262144, 2965821/
1048576]]]], [[10, 1, 6, 1, 5], [v = 2^(1/2), u < -v, x = 1, y < -u^2, (u^2-1)
^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [1,
1], [-10, -10], [4, 4]]]], [[10, 5, 4, 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]]]], [[11, 10, 2, 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, 10, 2, 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, 
10, 2, 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, 13, 7, 4, 1], [2^(1/2) < v, v < u, 1 < x, y = u^2-v^2+x+1, z
< -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [2, 2], [10, 10], [-4,
-4]]]], [[11, 13, 7, 4, 2], [2^(1/2) < v, v < u, 1 < x, y = u^2-v^2+x+1, z = -
(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [2, 2], [10, 10], [-\
2965821/1048576, -11863283/4194304]]]], [[11, 13, 7, 4, 3], [2^(1/2) < v, v <
u, 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], [4, 4], [2, 2], [10, 10], [-3/8388608, -3/8388608]]]]
, [[11, 13, 7, 4, 4], [2^(1/2) < v, v < u, 1 < x, y = u^2-v^2+x+1, z = (u^2-v^
2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [2, 2], [10, 10], [741455/262144
, 2965821/1048576]]]], [[11, 13, 7, 4, 5], [2^(1/2) < v, v < u, 1 < x, y = u^2
-v^2+x+1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [4, 4], [2, 2], [10
, 10], [4, 4]]]], [[1, 10, 3, 1, 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], [-2, -2], [-1, -1]]]], [[1, 10, 3, 1, 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], [-2, -2], [0, 0]]]], [[1,
10, 3, 1, 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],
[-2, -2], [1, 1]]]], [[1, 13, 7, 4, 1], [v < -2^(1/2), -v < u, 1 < x, y = u^2-
v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [2, 2], [
10, 10], [-4, -4]]]], [[1, 13, 7, 4, 2], [v < -2^(1/2), -v < u, 1 < x, y = u^2
-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [2, 2],
[10, 10], [-2965821/1048576, -11863283/4194304]]]], [[1, 13, 7, 4, 3], [v < -2
^(1/2), -v < u, 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], [4, 4], [2, 2], [10, 10], [-3/8388608
, -3/8388608]]]], [[1, 13, 7, 4, 4], [v < -2^(1/2), -v < u, 1 < x, y = u^2-v^2
+x+1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [2, 2], [10,
10], [741455/262144, 2965821/1048576]]]], [[1, 13, 7, 4, 5], [v < -2^(1/2), -v
< u, 1 < x, y = u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3]
, [4, 4], [2, 2], [10, 10], [4, 4]]]], [[3, 5, 5, 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], [1527887/2097152, 1527887/2097152], [-2, -2], [0, 0]]]], [[3, 9, 2, 2,
1], [And(-2^(1/2) < v,v < -1), -v < 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, 9, 2, 2, 2], [And
(-2^(1/2) < v,v < -1), -v < 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, 9, 2, 2, 3], [And(-2^(1/2) < v,v < -1), -v < 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, 9, 2, 2, 4], [And(-2^(1/2) < v,v < -1),
-v < 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, 9, 2, 2, 5], [And(-2^(1/
2) < v,v < -1), -v < 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]]]], [[5, 4, 1, 3, 1], [And(-1 < v,v < 0),
u = -v, x < -1, And(x+1 < y,y < -1-x), z < -1], [regular_chain, [[-1/2, -1/2],
[1/2, 1/2], [-2, -2], [0, 0], [-2, -2]]]], [[5, 4, 1, 3, 2], [And(-1 < v,v < 0
), u = -v, x < -1, And(x+1 < y,y < -1-x), z = -1], [regular_chain, [[-1/2, -1/
2], [1/2, 1/2], [-2, -2], [0, 0], [-1, -1]]]], [[5, 4, 1, 3, 3], [And(-1 < v,v
< 0), u = -v, x < -1, And(x+1 < y,y < -1-x), And(-1 < z,z < 1)], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [0, 0], [0, 0]]]], [[5, 4,
1, 3, 4], [And(-1 < v,v < 0), u = -v, x < -1, And(x+1 < y,y < -1-x), z = 1], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [0, 0], [1, 1]]]], [[5, 4,
1, 3, 5], [And(-1 < v,v < 0), u = -v, x < -1, And(x+1 < y,y < -1-x), 1 < z], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [0, 0], [2, 2]]]], [[6, 3,
1, 1, 1], [v = 0, 0 < u, x < -u^2-1, y < u^2+x+1, z < -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-3, -3], [-2, -2], [-3, -3]]]], [[6, 3, 1, 1,
2], [v = 0, 0 < u, x < -u^2-1, y < u^2+x+1, z = -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-3, -3], [-2, -2], [-1482911/1048576, -741455
/524288]]]], [[6, 3, 1, 1, 3], [v = 0, 0 < 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], [1, 1], [-3, -3]
, [-2, -2], [0, 0]]]], [[6, 3, 1, 1, 4], [v = 0, 0 < u, x < -u^2-1, y < u^2+x+
1, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3, -3], [-2, -2], [
741455/524288, 1482911/1048576]]]], [[6, 3, 1, 1, 5], [v = 0, 0 < u, x < -u^2-\
1, y < u^2+x+1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [-3, -3],
[-2, -2], [3, 3]]]], [[9, 3, 7, 3, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u <
-(v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [2, 2], [0, 0], [-2, -2]]]], [[9, 3, 7, 3, 2], [
And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-\
1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [0, 0
], [-1374407/2097152, -687203/1048576]]]], [[9, 3, 7, 3, 3], [And(1 < v,v < 2^
(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^
2+x+1), And(-(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
], [0, 0], [0, 0]]]], [[9, 3, 7, 3, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u
< -(v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2-v^2+
1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [2, 2], [0, 0], [687203/1048576, 171801/262144]]]]
, [[9, 3, 7, 3, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1
< x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [0, 0], [2, 2]]]], [[9, 7, 2, 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], [149551/262144, 598205/1048576], [-2, -2]]]], [[9,
7, 2, 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], [149551/262144,
598205/1048576], [-1374407/2097152, -687203/1048576]]]], [[9, 7, 2, 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], [149551
/262144, 598205/1048576], [0, 0]]]], [[9, 7, 2, 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], [149551/262144, 598205/1048576], [687203/1048576, 171801/
262144]]]], [[9, 7, 2, 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], [149551
/262144, 598205/1048576], [2, 2]]]], [[10, 1, 5, 3, 1], [v = 2^(1/2), u < -v,
And(-1 < x,x < 1), And(-u^2-x+1 < y,y < u^2+x-1), z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [0, 0], [0, 0], [-\
4, -4]]]], [[10, 1, 5, 3, 2], [v = 2^(1/2), u < -v, And(-1 < x,x < 1), And(-u^
2-x+1 < y,y < u^2+x-1), z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-3, -3], [0, 0], [0, 0], [-2965821/1048576, -11863283/
4194304]]]], [[10, 1, 5, 3, 3], [v = 2^(1/2), u < -v, And(-1 < x,x < 1), And(-
u^2-x+1 < y,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], [0, 0], [0, 0], [-\
3/8388608, -3/8388608]]]], [[10, 1, 5, 3, 4], [v = 2^(1/2), u < -v, And(-1 < x
,x < 1), And(-u^2-x+1 < y,y < u^2+x-1), z = (u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [0, 0], [0, 0], [741455/262144, 
2965821/1048576]]]], [[10, 1, 5, 3, 5], [v = 2^(1/2), u < -v, And(-1 < x,x < 1
), And(-u^2-x+1 < y,y < u^2+x-1), (u^2-1)^(1/2) < z], [regular_chain, [[741455
/524288, 1482911/1048576], [-3, -3], [0, 0], [0, 0], [4, 4]]]], [[10, 5, 2, 4,
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]]]], [[11, 10, 2, 1, 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], [-2, -2], [-1, -1]]]], [[11, 10, 2, 1, 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], [-2, -2], [0, 0]]]], [[11, 10, 2, 1, 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], [-2, -2], [1, 1]]]], [[11, 13, 6, 4
, 1], [2^(1/2) < v, v < u, x = 1, y = u^2-v^2+2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [4, 4], [1, 1], [9, 9], [-4, -4]]]], [[11, 13, 6, 4, 2
], [2^(1/2) < v, v < u, x = 1, y = u^2-v^2+2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [4, 4], [1, 1], [9, 9], [-2965821/1048576, -11863283/
4194304]]]], [[11, 13, 6, 4, 3], [2^(1/2) < v, v < 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], [
4, 4], [1, 1], [9, 9], [-3/8388608, -3/8388608]]]], [[11, 13, 6, 4, 4], [2^(1/
2) < v, v < u, x = 1, y = u^2-v^2+2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [
[3, 3], [4, 4], [1, 1], [9, 9], [741455/262144, 2965821/1048576]]]], [[11, 13,
6, 4, 5], [2^(1/2) < v, v < u, x = 1, y = u^2-v^2+2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [4, 4], [1, 1], [9, 9], [4, 4]]]], [[1, 2, 4, 4, 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, 2, 4, 4, 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, 2, 4, 4, 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, 2, 4, 4,
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, 2, 4, 4, 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, 6, 1, 5, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x < -1, -x+1 < y, z =
z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-2, -2],
[4, 4], [0, 0]]]], [[2, 9, 1, 2, 1], [v = -2^(1/2), And(1 < u,u < -v), x < -1,
y = u^2+x-1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-2, -2], [-3235683/2097152, -\
1617841/1048576], [-2, -2]]]], [[2, 9, 1, 2, 2], [v = -2^(1/2), And(1 < u,u <
-v), x < -1, y = u^2+x-1, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-2, -2], [-\
3235683/2097152, -1617841/1048576], [-1417877/2097152, -354469/524288]]]], [[2
, 9, 1, 2, 3], [v = -2^(1/2), And(1 < u,u < -v), 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], [-2, -2], [-3235683/
2097152, -1617841/1048576], [0, 0]]]], [[2, 9, 1, 2, 4], [v = -2^(1/2), And(1
< u,u < -v), x < -1, y = u^2+x-1, z = (u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-2, -2]
, [-3235683/2097152, -1617841/1048576], [354469/524288, 708939/1048576]]]], [[
2, 9, 1, 2, 5], [v = -2^(1/2), And(1 < u,u < -v), x < -1, y = u^2+x-1, (u^2-1)
^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [-2, -2], [-3235683/2097152, -1617841/1048576], [2,
2]]]], [[3, 1, 5, 5, 1], [And(-2^(1/2) < v,v < -1), u < v, And(-1 < x,x < 1),
u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3, -3], [0, 0], [10, 10], [-4, -4]]]], [[3, 1, 5, 5, 2],
[And(-2^(1/2) < v,v < -1), u < v, And(-1 < x,x < 1), u^2-v^2+x+1 < y, z = -(u^
2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -\
3], [0, 0], [10, 10], [-1532401/524288, -24518415/8388608]]]], [[3, 1, 5, 5, 3
], [And(-2^(1/2) < v,v < -1), u < v, And(-1 < x,x < 1), u^2-v^2+x+1 < y, 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], [10, 10], [-7/16777216, -7/
16777216]]]], [[3, 1, 5, 5, 4], [And(-2^(1/2) < v,v < -1), u < v, And(-1 < x,x
< 1), u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [0, 0], [10, 10], [3064801/1048576, 
1532401/524288]]]], [[3, 1, 5, 5, 5], [And(-2^(1/2) < v,v < -1), u < v, And(-1
< x,x < 1), u^2-v^2+x+1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [0, 0], [10, 10], [4, 4]]]], [[4
, 3, 5, 1, 1], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 1), y < -u^2-x, z
< u], [regular_chain, [[-1, -1], [-1/2, -1/2], [3/8, 3/8], [-2, -2], [-2, -2]]
]], [[4, 3, 5, 1, 2], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 1), y < -u^
2-x, z = u], [regular_chain, [[-1, -1], [-1/2, -1/2], [3/8, 3/8], [-2, -2], [-\
1/2, -1/2]]]], [[4, 3, 5, 1, 3], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x <
1), y < -u^2-x, And(u < z,z < -u)], [regular_chain, [[-1, -1], [-1/2, -1/2], [
3/8, 3/8], [-2, -2], [0, 0]]]], [[4, 3, 5, 1, 4], [v = -1, And(-1 < u,u < 0),
And(-u^2 < x,x < 1), y < -u^2-x, z = -u], [regular_chain, [[-1, -1], [-1/2, -1
/2], [3/8, 3/8], [-2, -2], [1/2, 1/2]]]], [[4, 3, 5, 1, 5], [v = -1, And(-1 <
u,u < 0), And(-u^2 < x,x < 1), y < -u^2-x, -u < z], [regular_chain, [[-1, -1],
[-1/2, -1/2], [3/8, 3/8], [-2, -2], [2, 2]]]], [[4, 7, 2, 2, 1], [v = -1, 1 <
u, x = -u^2, y = 0, z < -u], [regular_chain, [[-1, -1], [2, 2], [-4, -4], [0,
0], [-3, -3]]]], [[4, 7, 2, 2, 2], [v = -1, 1 < u, x = -u^2, y = 0, z = -u], [
regular_chain, [[-1, -1], [2, 2], [-4, -4], [0, 0], [-2, -2]]]], [[4, 7, 2, 2,
3], [v = -1, 1 < u, x = -u^2, y = 0, And(-u < z,z < u)], [regular_chain, [[-1,
-1], [2, 2], [-4, -4], [0, 0], [0, 0]]]], [[4, 7, 2, 2, 4], [v = -1, 1 < u, x
= -u^2, y = 0, z = u], [regular_chain, [[-1, -1], [2, 2], [-4, -4], [0, 0], [2
, 2]]]], [[4, 7, 2, 2, 5], [v = -1, 1 < u, x = -u^2, y = 0, u < z], [
regular_chain, [[-1, -1], [2, 2], [-4, -4], [0, 0], [3, 3]]]], [[8, 3, 3, 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, 3, 3, 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, 3, 3, 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, 3, 3, 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, 3, 3, 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, 7, 1, 2, 1], [v = 1, 1 <
u, x < -u^2, y = u^2+x, z < -u], [regular_chain, [[1, 1], [2, 2], [-5, -5], [-\
1, -1], [-3, -3]]]], [[8, 7, 1, 2, 2], [v = 1, 1 < u, x < -u^2, y = u^2+x, z =
-u], [regular_chain, [[1, 1], [2, 2], [-5, -5], [-1, -1], [-2, -2]]]], [[8, 7,
1, 2, 3], [v = 1, 1 < u, x < -u^2, y = u^2+x, And(-u < z,z < u)], [
regular_chain, [[1, 1], [2, 2], [-5, -5], [-1, -1], [0, 0]]]], [[8, 7, 1, 2, 4
], [v = 1, 1 < u, x < -u^2, y = u^2+x, z = u], [regular_chain, [[1, 1], [2, 2]
, [-5, -5], [-1, -1], [2, 2]]]], [[8, 7, 1, 2, 5], [v = 1, 1 < u, x < -u^2, y
= u^2+x, u < z], [regular_chain, [[1, 1], [2, 2], [-5, -5], [-1, -1], [3, 3]]]
], [[10, 9, 1, 5, 1], [v = 2^(1/2), And(1 < u,u < v), x < -1, -u^2-x+1 < y, z
< -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743
/1048576, 1265743/1048576], [-2, -2], [3, 3], [-2, -2]]]], [[10, 9, 1, 5, 2],
[v = 2^(1/2), And(1 < u,u < v), x < -1, -u^2-x+1 < y, z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-2, -2], [3, 3], [-1417877/2097152, -354469/524288]]]], [[10, 9, 1,
5, 3], [v = 2^(1/2), And(1 < u,u < v), x < -1, -u^2-x+1 < y, 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], [3, 3], [0, 0]]]], [[10, 9, 1, 5
, 4], [v = 2^(1/2), And(1 < u,u < v), x < -1, -u^2-x+1 < y, z = (u^2-1)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743
/1048576], [-2, -2], [3, 3], [354469/524288, 708939/1048576]]]], [[10, 9, 1, 5
, 5], [v = 2^(1/2), And(1 < u,u < v), x < -1, -u^2-x+1 < y, (u^2-1)^(1/2) < z]
, [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743
/1048576], [-2, -2], [3, 3], [2, 2]]]], [[11, 1, 6, 3, 1], [2^(1/2) < v, u < -
v, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-4, -4], [1, 1], [0, 0], [-4, -4]]]], [[11, 1, 6, 3,
2], [2^(1/2) < v, u < -v, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z = -(u^2-
v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [1, 1], [0, 0], [-2965821/
1048576, -11863283/4194304]]]], [[11, 1, 6, 3, 3], [2^(1/2) < v, u < -v, x = 1
, And(-u^2+v^2-2 < y,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], [-4, -4], [1, 1], [0, 0], [-3/8388608, -3/
8388608]]]], [[11, 1, 6, 3, 4], [2^(1/2) < v, u < -v, x = 1, And(-u^2+v^2-2 <
y,y < u^2-v^2+2), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [
1, 1], [0, 0], [741455/262144, 2965821/1048576]]]], [[11, 1, 6, 3, 5], [2^(1/2
) < v, u < -v, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), (u^2-v^2+1)^(1/2) < z
], [regular_chain, [[3, 3], [-4, -4], [1, 1], [0, 0], [4, 4]]]], [[1, 10, 3, 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, 10, 3, 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, 10, 3, 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, 13, 7, 5, 1], [v < -2^(1/2), -v < u, 1 < x, u^2-v^2+
x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [2, 2], [
11, 11], [-4, -4]]]], [[1, 13, 7, 5, 2], [v < -2^(1/2), -v < u, 1 < x, u^2-v^2
+x+1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [2, 2],
[11, 11], [-2965821/1048576, -11863283/4194304]]]], [[1, 13, 7, 5, 3], [v < -2
^(1/2), -v < u, 1 < x, u^2-v^2+x+1 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^
2+1)^(1/2))], [regular_chain, [[-3, -3], [4, 4], [2, 2], [11, 11], [-3/8388608
, -3/8388608]]]], [[1, 13, 7, 5, 4], [v < -2^(1/2), -v < u, 1 < x, u^2-v^2+x+1
< y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [2, 2], [11, 
11], [741455/262144, 2965821/1048576]]]], [[1, 13, 7, 5, 5], [v < -2^(1/2), -v
< u, 1 < x, u^2-v^2+x+1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3]
, [4, 4], [2, 2], [11, 11], [4, 4]]]], [[3, 5, 4, 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, 0 < y, z = z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [239655/524288,
479311/1048576], [1, 1], [0, 0]]]], [[3, 9, 2, 1, 1], [And(-2^(1/2) < v,v < -1
), -v < 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
], [-1, -1], [-4, -4]]]], [[3, 9, 2, 1, 2], [And(-2^(1/2) < v,v < -1), -v < 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], [-1,
-1], [-1532401/524288, -24518415/8388608]]]], [[3, 9, 2, 1, 3], [And(-2^(1/2)
< v,v < -1), -v < 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], [-1, -1], [-7/16777216, -7/16777216]]]
], [[3, 9, 2, 1, 4], [And(-2^(1/2) < v,v < -1), -v < 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], [-1, -1], [3064801/1048576, 
1532401/524288]]]], [[3, 9, 2, 1, 5], [And(-2^(1/2) < v,v < -1), -v < 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], [-1, -1], [4,
4]]]], [[5, 4, 1, 4, 1], [And(-1 < v,v < 0), u = -v, x < -1, y = -1-x, z < -1]
, [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [1, 1], [-2, -2]]]], [[
5, 4, 1, 4, 2], [And(-1 < v,v < 0), u = -v, x < -1, y = -1-x, z = -1], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [1, 1], [-1, -1]]]], [[5,
4, 1, 4, 3], [And(-1 < v,v < 0), u = -v, x < -1, y = -1-x, And(-1 < z,z < 1)],
[regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [1, 1], [0, 0]]]], [[5, 4
, 1, 4, 4], [And(-1 < v,v < 0), u = -v, x < -1, y = -1-x, z = 1], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [1, 1], [1, 1]]]], [[5, 4,
1, 4, 5], [And(-1 < v,v < 0), u = -v, x < -1, y = -1-x, 1 < z], [regular_chain
, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [1, 1], [2, 2]]]], [[6, 3, 1, 2, 1], [v
= 0, 0 < u, x < -u^2-1, y = u^2+x+1, z < -(u^2+1)^(1/2)], [regular_chain, [[0,
0], [1, 1], [-3, -3], [-1, -1], [-3, -3]]]], [[6, 3, 1, 2, 2], [v = 0, 0 < u,
x < -u^2-1, y = u^2+x+1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1],
[-3, -3], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[6, 3, 1, 2, 3], [
v = 0, 0 < 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], [1, 1], [-3, -3], [-1, -1], [0, 0]]]], [[6, 3, 1
, 2, 4], [v = 0, 0 < u, x < -u^2-1, y = u^2+x+1, z = (u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-3, -3], [-1, -1], [741455/524288, 1482911/
1048576]]]], [[6, 3, 1, 2, 5], [v = 0, 0 < u, x < -u^2-1, y = u^2+x+1, (u^2+1)
^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [-3, -3], [-1, -1], [3, 3]]]], [
[9, 3, 7, 2, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 <
x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [-\
2547523/1048576, -1273761/524288], [-2, -2]]]], [[9, 3, 7, 2, 2], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = -(u^2
-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363
/4194304, -3949363/4194304], [2, 2], [-2547523/1048576, -1273761/524288], [-\
1374407/2097152, -687203/1048576]]]], [[9, 3, 7, 2, 3], [And(1 < v,v < 2^(1/2)
), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(
1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [-2547523/1048576, -\
1273761/524288], [0, 0]]]], [[9, 3, 7, 2, 4], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [-2547523/1048576, -1273761/524288], [687203/1048576
, 171801/262144]]]], [[9, 3, 7, 2, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u <
-(v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [-2547523/1048576, -1273761/524288], [2, 2]]]], [[9,
7, 2, 3, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, 
And(u^2-v^2 < y,y < -u^2+v^2), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1],
[-1/4194304, -1/4194304], [-2, -2]]]], [[9, 7, 2, 3, 2], [And(1 < v,v < 2^(1/2
)), And((v^2-1)^(1/2) < u,u < v), x = -1, And(u^2-v^2 < y,y < -u^2+v^2), z = -
(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-1, -1], [-1/4194304, -1/4194304], [-1374407
/2097152, -687203/1048576]]]], [[9, 7, 2, 3, 3], [And(1 < v,v < 2^(1/2)), And(
(v^2-1)^(1/2) < u,u < v), x = -1, And(u^2-v^2 < y,y < -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], [-1/4194304, -1/
4194304], [0, 0]]]], [[9, 7, 2, 3, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1
/2) < u,u < v), x = -1, And(u^2-v^2 < y,y < -u^2+v^2), z = (u^2-v^2+1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [-1/4194304, -1/4194304], [687203/1048576, 171801/262144]]
]], [[9, 7, 2, 3, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x
= -1, And(u^2-v^2 < y,y < -u^2+v^2), (u^2-v^2+1)^(1/2) < z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1]
, [-1/4194304, -1/4194304], [2, 2]]]], [[10, 1, 5, 4, 1], [v = 2^(1/2), u < -v
, And(-1 < x,x < 1), y = u^2+x-1, z < -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [0, 0], [8, 8], [-4, -4]]]], [[10,
1, 5, 4, 2], [v = 2^(1/2), u < -v, And(-1 < x,x < 1), y = u^2+x-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, 5, 4, 3], [v = 2^(1
/2), u < -v, And(-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], [0, 0]
, [8, 8], [-3/8388608, -3/8388608]]]], [[10, 1, 5, 4, 4], [v = 2^(1/2), u < -v
, And(-1 < x,x < 1), y = u^2+x-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, 5, 4, 5], [v = 2^(1/2), u < -v, And(-1 < x,x < 1), y = u
^2+x-1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[-3, -3], [0, 0], [8, 8], [4, 4]]]], [[10, 5, 2, 5, 1], [v = 2^(1/2), And(-1 <
u,u < 0), x = -1, -u^2+2 < y, z = z], [regular_chain, [[741455/524288, 1482911
/1048576], [-1/2, -1/2], [-1, -1], [3, 3], [0, 0]]]], [[11, 10, 1, 5, 1], [2^(
1/2) < v, u = (v^2-1)^(1/2), x < -1, -x < y, z < 0], [regular_chain, [[3, 3],
[741455/262144, 2965821/1048576], [-2, -2], [3, 3], [-1, -1]]]], [[11, 10, 1,
5, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -1, -x < y, z = 0], [regular_chain
, [[3, 3], [741455/262144, 2965821/1048576], [-2, -2], [3, 3], [0, 0]]]], [[11
, 10, 1, 5, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -1, -x < y, 0 < z], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-2, -2], [3, 3], [1
, 1]]]], [[11, 13, 6, 3, 1], [2^(1/2) < v, v < u, x = 1, And(-u^2+v^2-2 < y,y
< u^2-v^2+2), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [1, 1]
, [0, 0], [-4, -4]]]], [[11, 13, 6, 3, 2], [2^(1/2) < v, v < u, x = 1, And(-u^
2+v^2-2 < y,y < u^2-v^2+2), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3],
[4, 4], [1, 1], [0, 0], [-2965821/1048576, -11863283/4194304]]]], [[11, 13, 6,
3, 3], [2^(1/2) < v, v < u, x = 1, And(-u^2+v^2-2 < y,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], [4, 4], [
1, 1], [0, 0], [-3/8388608, -3/8388608]]]], [[11, 13, 6, 3, 4], [2^(1/2) < v,
v < u, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [4, 4], [1, 1], [0, 0], [741455/262144, 2965821/
1048576]]]], [[11, 13, 6, 3, 5], [2^(1/2) < v, v < u, x = 1, And(-u^2+v^2-2 <
y,y < u^2-v^2+2), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [4, 4], [1,
1], [0, 0], [4, 4]]]], [[1, 2, 4, 5, 1], [v < -2^(1/2), u = v, x = 1, 2 < y, z
< -1], [regular_chain, [[-3, -3], [-3, -3], [1, 1], [3, 3], [-2, -2]]]], [[1,
2, 4, 5, 2], [v < -2^(1/2), u = v, x = 1, 2 < y, z = -1], [regular_chain, [[-3
, -3], [-3, -3], [1, 1], [3, 3], [-1, -1]]]], [[1, 2, 4, 5, 3], [v < -2^(1/2),
u = v, x = 1, 2 < y, And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [-3, -3],
[1, 1], [3, 3], [0, 0]]]], [[1, 2, 4, 5, 4], [v < -2^(1/2), u = v, x = 1, 2 <
y, z = 1], [regular_chain, [[-3, -3], [-3, -3], [1, 1], [3, 3], [1, 1]]]], [[1
, 2, 4, 5, 5], [v < -2^(1/2), u = v, x = 1, 2 < y, 1 < z], [regular_chain, [[-\
3, -3], [-3, -3], [1, 1], [3, 3], [2, 2]]]], [[1, 6, 2, 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]]]], [[2, 9, 1,
1, 1], [v = -2^(1/2), And(1 < u,u < -v), x < -1, y < u^2+x-1, z < -(u^2-1)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 
1265743/1048576], [-2, -2], [-3, -3], [-2, -2]]]], [[2, 9, 1, 1, 2], [v = -2^(
1/2), And(1 < u,u < -v), x < -1, y < u^2+x-1, z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-2, -2], [-3, -3], [-1417877/2097152, -354469/524288]]]], [[2, 9, 1
, 1, 3], [v = -2^(1/2), And(1 < u,u < -v), 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], [-2, -2], [-3, -3], [0, 0]]]], [[
2, 9, 1, 1, 4], [v = -2^(1/2), And(1 < u,u < -v), x < -1, y < u^2+x-1, z = (u^
2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [-2, -2], [-3, -3], [354469/524288, 708939/1048576]
]]], [[2, 9, 1, 1, 5], [v = -2^(1/2), And(1 < u,u < -v), x < -1, y < u^2+x-1,
(u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-2, -2], [-3, -3], [2, 2]]]], [[3, 1, 5, 4
, 1], [And(-2^(1/2) < v,v < -1), u < v, And(-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], [0, 0], [8957873/1048576, 4478937/524288], [-4, -4]]]], [[3, 1, 5, 4
, 2], [And(-2^(1/2) < v,v < -1), u < v, And(-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], [0, 0], [8957873/1048576, 4478937/524288], [-1532401/524288, -\
24518415/8388608]]]], [[3, 1, 5, 4, 3], [And(-2^(1/2) < v,v < -1), u < v, And(
-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], [0, 0],
[8957873/1048576, 4478937/524288], [-7/16777216, -7/16777216]]]], [[3, 1, 5, 4
, 4], [And(-2^(1/2) < v,v < -1), u < v, And(-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], [0, 0], [8957873/1048576, 4478937/524288], [3064801/1048576, 1532401/
524288]]]], [[3, 1, 5, 4, 5], [And(-2^(1/2) < v,v < -1), u < v, And(-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], [0, 0], [8957873/1048576, 4478937/524288
], [4, 4]]]], [[4, 3, 5, 2, 1], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 1
), y = -u^2-x, z < u], [regular_chain, [[-1, -1], [-1/2, -1/2], [3/8, 3/8], [-\
5/8, -5/8], [-2, -2]]]], [[4, 3, 5, 2, 2], [v = -1, And(-1 < u,u < 0), And(-u^
2 < x,x < 1), y = -u^2-x, z = u], [regular_chain, [[-1, -1], [-1/2, -1/2], [3/
8, 3/8], [-5/8, -5/8], [-1/2, -1/2]]]], [[4, 3, 5, 2, 3], [v = -1, And(-1 < u,
u < 0), And(-u^2 < x,x < 1), y = -u^2-x, And(u < z,z < -u)], [regular_chain, [
[-1, -1], [-1/2, -1/2], [3/8, 3/8], [-5/8, -5/8], [0, 0]]]], [[4, 3, 5, 2, 4],
[v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 1), y = -u^2-x, z = -u], [
regular_chain, [[-1, -1], [-1/2, -1/2], [3/8, 3/8], [-5/8, -5/8], [1/2, 1/2]]]
], [[4, 3, 5, 2, 5], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 1), y = -u^2
-x, -u < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [3/8, 3/8], [-5/8, -5/8]
, [2, 2]]]], [[4, 7, 2, 3, 1], [v = -1, 1 < u, x = -u^2, 0 < y, z < -u], [
regular_chain, [[-1, -1], [2, 2], [-4, -4], [1, 1], [-3, -3]]]], [[4, 7, 2, 3,
2], [v = -1, 1 < u, x = -u^2, 0 < y, z = -u], [regular_chain, [[-1, -1], [2, 2
], [-4, -4], [1, 1], [-2, -2]]]], [[4, 7, 2, 3, 3], [v = -1, 1 < u, x = -u^2,
0 < y, And(-u < z,z < u)], [regular_chain, [[-1, -1], [2, 2], [-4, -4], [1, 1]
, [0, 0]]]], [[4, 7, 2, 3, 4], [v = -1, 1 < u, x = -u^2, 0 < y, z = u], [
regular_chain, [[-1, -1], [2, 2], [-4, -4], [1, 1], [2, 2]]]], [[4, 7, 2, 3, 5
], [v = -1, 1 < u, x = -u^2, 0 < y, u < z], [regular_chain, [[-1, -1], [2, 2],
[-4, -4], [1, 1], [3, 3]]]], [[8, 3, 3, 3, 1], [v = 1, And(-1 < u,u < 0), And(
-1 < x,x < -u^2), And(u^2+x < y,y < -u^2-x), z < u], [regular_chain, [[1, 1],
[-1/2, -1/2], [-5/8, -5/8], [0, 0], [-2, -2]]]], [[8, 3, 3, 3, 2], [v = 1, And
(-1 < u,u < 0), And(-1 < x,x < -u^2), And(u^2+x < y,y < -u^2-x), z = u], [
regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [0, 0], [-1/2, -1/2]]]], [
[8, 3, 3, 3, 3], [v = 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(u^2+x <
y,y < -u^2-x), And(u < z,z < -u)], [regular_chain, [[1, 1], [-1/2, -1/2], [-5/
8, -5/8], [0, 0], [0, 0]]]], [[8, 3, 3, 3, 4], [v = 1, And(-1 < u,u < 0), And(
-1 < x,x < -u^2), And(u^2+x < y,y < -u^2-x), z = -u], [regular_chain, [[1, 1],
[-1/2, -1/2], [-5/8, -5/8], [0, 0], [1/2, 1/2]]]], [[8, 3, 3, 3, 5], [v = 1, 
And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(u^2+x < y,y < -u^2-x), -u < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [0, 0], [2, 2]]]], [[8, 7,
1, 1, 1], [v = 1, 1 < u, x < -u^2, y < u^2+x, z < -u], [regular_chain, [[1, 1]
, [2, 2], [-5, -5], [-2, -2], [-3, -3]]]], [[8, 7, 1, 1, 2], [v = 1, 1 < u, x
< -u^2, y < u^2+x, z = -u], [regular_chain, [[1, 1], [2, 2], [-5, -5], [-2, -2
], [-2, -2]]]], [[8, 7, 1, 1, 3], [v = 1, 1 < u, x < -u^2, y < u^2+x, And(-u <
z,z < u)], [regular_chain, [[1, 1], [2, 2], [-5, -5], [-2, -2], [0, 0]]]], [[8
, 7, 1, 1, 4], [v = 1, 1 < u, x < -u^2, y < u^2+x, z = u], [regular_chain, [[1
, 1], [2, 2], [-5, -5], [-2, -2], [2, 2]]]], [[8, 7, 1, 1, 5], [v = 1, 1 < u,
x < -u^2, y < u^2+x, u < z], [regular_chain, [[1, 1], [2, 2], [-5, -5], [-2, -\
2], [3, 3]]]], [[10, 9, 2, 1, 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], [-2, -2], [-2, -2]]]], [[10, 9,
2, 1, 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], [-2, -2], [-1417877/2097152, -354469/524288]]]], [
[10, 9, 2, 1, 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], [-2, -2], [0, 0]]]], [
[10, 9, 2, 1, 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], [-2, -2], [354469/524288, 708939/1048576]]]], [[
10, 9, 2, 1, 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], [-2, -2], [2, 2]]]], [[11, 1, 6, 4, 1], [2^(1/2) <
v, u < -v, x = 1, y = u^2-v^2+2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3,
3], [-4, -4], [1, 1], [9, 9], [-4, -4]]]], [[11, 1, 6, 4, 2], [2^(1/2) < v, u
< -v, x = 1, y = u^2-v^2+2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3],
[-4, -4], [1, 1], [9, 9], [-2965821/1048576, -11863283/4194304]]]], [[11, 1, 6
, 4, 3], [2^(1/2) < v, 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], [-4, -4], [1, 1], [9, 9],
[-3/8388608, -3/8388608]]]], [[11, 1, 6, 4, 4], [2^(1/2) < v, u < -v, x = 1, y
= u^2-v^2+2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [1, 1]
, [9, 9], [741455/262144, 2965821/1048576]]]], [[11, 1, 6, 4, 5], [2^(1/2) < v
, u < -v, x = 1, y = u^2-v^2+2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3
], [-4, -4], [1, 1], [9, 9], [4, 4]]]], [[1, 10, 2, 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, 10, 2, 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, 10, 2,
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]]]], [[
2, 1, 1, 1, 1], [v = -2^(1/2), u < v, 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],
[-2, -2], [-4, -4]]]], [[2, 1, 1, 1, 2], [v = -2^(1/2), u < v, 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], [-2, -2], [-2965821/1048576, -11863283/4194304]]]
], [[2, 1, 1, 1, 3], [v = -2^(1/2), 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], [-3, -3], [-9, -9], [-2, -2], [-3/8388608, -3/8388608]]]], [[2, 1, 1,
1, 4], [v = -2^(1/2), u < v, 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], [-2, -\
2], [741455/262144, 2965821/1048576]]]], [[2, 1, 1, 1, 5], [v = -2^(1/2), u <
v, 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], [-2, -2], [4, 4]]]], [[3, 5, 4,
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, 9,
3, 1, 1], [And(-2^(1/2) < v,v < -1), -v < 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], [-5, -5], [-\
4, -4]]]], [[3, 9, 3, 1, 2], [And(-2^(1/2) < v,v < -1), -v < 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], [-5, -5], [-1532401/524288, -24518415/8388608]]]], [[3, 9, 3, 1, 3],
[And(-2^(1/2) < v,v < -1), -v < 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], [-5, -5], [-7/16777216, -7/16777216]]]], [[3, 9, 3, 1, 4], [And(-2^(
1/2) < v,v < -1), -v < 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], [-5, -5], [3064801/1048576, 1532401
/524288]]]], [[3, 9, 3, 1, 5], [And(-2^(1/2) < v,v < -1), -v < 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], [-5, -5], [4, 4]]]], [[5, 4, 1, 1, 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], [
-2, -2], [-2, -2]]]], [[5, 4, 1, 1, 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], [-2, -2],
[-1, -1]]]], [[5, 4, 1, 1, 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], [-2,
-2], [0, 0]]]], [[5, 4, 1, 1, 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], [-2, -2], [1, 1]]
]], [[5, 4, 1, 1, 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], [-2, -2], [2, 2]]]], [[6,
3, 1, 3, 1], [v = 0, 0 < u, x < -u^2-1, And(u^2+x+1 < y,y < -u^2-x-1), z < -(u
^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3, -3], [0, 0], [-3, -3]]]],
[[6, 3, 1, 3, 2], [v = 0, 0 < u, x < -u^2-1, And(u^2+x+1 < y,y < -u^2-x-1), z
= -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3, -3], [0, 0], [-\
1482911/1048576, -741455/524288]]]], [[6, 3, 1, 3, 3], [v = 0, 0 < u, x < -u^2
-1, And(u^2+x+1 < y,y < -u^2-x-1), And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))],
[regular_chain, [[0, 0], [1, 1], [-3, -3], [0, 0], [0, 0]]]], [[6, 3, 1, 3, 4]
, [v = 0, 0 < u, x < -u^2-1, And(u^2+x+1 < y,y < -u^2-x-1), z = (u^2+1)^(1/2)]
, [regular_chain, [[0, 0], [1, 1], [-3, -3], [0, 0], [741455/524288, 1482911/
1048576]]]], [[6, 3, 1, 3, 5], [v = 0, 0 < u, x < -u^2-1, And(u^2+x+1 < y,y <
-u^2-x-1), (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [-3, -3], [0,
0], [3, 3]]]], [[9, 3, 7, 1, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2
-1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [2,
2], [-4, -4], [-2, -2]]]], [[9, 3, 7, 1, 2], [And(1 < v,v < 2^(1/2)), And(-v <
u,u < -(v^2-1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [-4, -4], [-1374407/2097152, -687203/1048576]]]], [[
9, 3, 7, 1, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x
, y < -u^2+v^2-x-1, And(-(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], [-4, -4], [0, 0]]]], [[9, 3, 7, 1, 4], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z = (u^2-
v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [2, 2], [-4, -4], [687203/1048576, 171801/262144]]
]], [[9, 3, 7, 1, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)),
1 < x, y < -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [-4,
-4], [2, 2]]]], [[9, 7, 3, 1, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) <
u,u < v), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341
/1048576], [-374737/524288, -374737/524288], [-2, -2], [-2, -2]]]], [[9, 7, 3,
1, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -
u^2+v^2-1), y < u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-374737/
524288, -374737/524288], [-2, -2], [-1374407/2097152, -687203/1048576]]]], [[9
, 7, 3, 1, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1 <
x,x < -u^2+v^2-1), y < u^2-v^2+x+1, And(-(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], [-2, -2], [0, 0]]]], [[9,
7, 3, 1, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x
,x < -u^2+v^2-1), y < u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-374737/
524288, -374737/524288], [-2, -2], [687203/1048576, 171801/262144]]]], [[9, 7,
3, 1, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x
< -u^2+v^2-1), y < u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-374737/
524288, -374737/524288], [-2, -2], [2, 2]]]], [[10, 1, 5, 1, 1], [v = 2^(1/2),
u < -v, And(-1 < x,x < 1), y < -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-3, -3], [0, 0], [-9, -9], [-4, -4]]]], [[
10, 1, 5, 1, 2], [v = 2^(1/2), u < -v, And(-1 < x,x < 1), y < -u^2-x+1, z = -(
u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [0
, 0], [-9, -9], [-2965821/1048576, -11863283/4194304]]]], [[10, 1, 5, 1, 3], [
v = 2^(1/2), u < -v, And(-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]
, [0, 0], [-9, -9], [-3/8388608, -3/8388608]]]], [[10, 1, 5, 1, 4], [v = 2^(1/
2), u < -v, And(-1 < x,x < 1), y < -u^2-x+1, z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [0, 0], [-9, -9],
[741455/262144, 2965821/1048576]]]], [[10, 1, 5, 1, 5], [v = 2^(1/2), u < -v,
And(-1 < x,x < 1), y < -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [0, 0], [-9, -9], [4, 4]]]], [[10, 5, 3, 1
, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < -u^2+1), y < u^2+x-1, z
= z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-1/8,
-1/8], [-2, -2], [0, 0]]]], [[11, 10, 1, 4, 1], [2^(1/2) < v, u = (v^2-1)^(1/2
), x < -1, y = -x, z < 0], [regular_chain, [[3, 3], [741455/262144, 2965821/
1048576], [-2, -2], [2, 2], [-1, -1]]]], [[11, 10, 1, 4, 2], [2^(1/2) < v, u =
(v^2-1)^(1/2), x < -1, y = -x, z = 0], [regular_chain, [[3, 3], [741455/262144
, 2965821/1048576], [-2, -2], [2, 2], [0, 0]]]], [[11, 10, 1, 4, 3], [2^(1/2)
< v, u = (v^2-1)^(1/2), x < -1, y = -x, 0 < z], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [-2, -2], [2, 2], [1, 1]]]], [[11, 13, 7, 1,
1], [2^(1/2) < v, v < u, 1 < x, y < -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [4, 4], [2, 2], [-11, -11], [-4, -4]]]], [[11, 13, 7,
1, 2], [2^(1/2) < v, v < u, 1 < x, y < -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)],
[regular_chain, [[3, 3], [4, 4], [2, 2], [-11, -11], [-2965821/1048576, -\
11863283/4194304]]]], [[11, 13, 7, 1, 3], [2^(1/2) < v, v < u, 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], [4, 4], [2, 2], [-11, -11], [-3/8388608, -3/8388608]]]], [[11, 13, 7,
1, 4], [2^(1/2) < v, v < u, 1 < x, y < -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [4, 4], [2, 2], [-11, -11], [741455/262144, 2965821/
1048576]]]], [[11, 13, 7, 1, 5], [2^(1/2) < v, v < u, 1 < x, y < -u^2+v^2-x-1,
(u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [4, 4], [2, 2], [-11, -11], [
4, 4]]]], [[1, 2, 4, 2, 1], [v < -2^(1/2), u = v, x = 1, y = -2, z < -1], [
regular_chain, [[-3, -3], [-3, -3], [1, 1], [-2, -2], [-2, -2]]]], [[1, 2, 4,
2, 2], [v < -2^(1/2), u = v, x = 1, y = -2, z = -1], [regular_chain, [[-3, -3]
, [-3, -3], [1, 1], [-2, -2], [-1, -1]]]], [[1, 2, 4, 2, 3], [v < -2^(1/2), u
= v, x = 1, y = -2, And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [-3, -3], [
1, 1], [-2, -2], [0, 0]]]], [[1, 2, 4, 2, 4], [v < -2^(1/2), u = v, x = 1, y =
-2, z = 1], [regular_chain, [[-3, -3], [-3, -3], [1, 1], [-2, -2], [1, 1]]]],
[[1, 2, 4, 2, 5], [v < -2^(1/2), u = v, x = 1, y = -2, 1 < z], [regular_chain,
[[-3, -3], [-3, -3], [1, 1], [-2, -2], [2, 2]]]], [[1, 6, 2, 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]]]], [[2, 8, 7,
5, 1], [v = -2^(1/2), u = 1, 1 < x, x < y, z < 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [2, 2], [3, 3], [-1, -1]]]], [[2, 8, 7, 5, 2
], [v = -2^(1/2), u = 1, 1 < x, x < y, z = 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [2, 2], [3, 3], [0, 0]]]], [[2, 8, 7, 5, 3],
[v = -2^(1/2), u = 1, 1 < x, x < y, 0 < z], [regular_chain, [[-1482911/1048576
, -741455/524288], [1, 1], [2, 2], [3, 3], [1, 1]]]], [[3, 1, 6, 2, 1], [And(-
2^(1/2) < v,v < -1), u < v, x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [-\
20012899/2097152, -10006449/1048576], [-4, -4]]]], [[3, 1, 6, 2, 2], [And(-2^(
1/2) < v,v < -1), u < v, x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [-\
20012899/2097152, -10006449/1048576], [-1532401/524288, -24518415/8388608]]]],
[[3, 1, 6, 2, 3], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [1, 1], [-20012899/2097152, -10006449/
1048576], [-7/16777216, -7/16777216]]]], [[3, 1, 6, 2, 4], [And(-2^(1/2) < v,v
< -1), u < v, x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [-20012899/2097152, -\
10006449/1048576], [3064801/1048576, 1532401/524288]]]], [[3, 1, 6, 2, 5], [
And(-2^(1/2) < v,v < -1), u < v, x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [-\
20012899/2097152, -10006449/1048576], [4, 4]]]], [[4, 3, 4, 2, 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, 3, 4, 2, 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, 3, 4, 2, 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, 3, 4, 2, 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, 3, 4, 2, 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, 7, 3, 1, 1], [v = -1, 1 < u, And(-u^2 < x,x < -1), y <
-u^2-x, z < -u], [regular_chain, [[-1, -1], [2, 2], [-5/2, -5/2], [-3, -3], [-\
3, -3]]]], [[4, 7, 3, 1, 2], [v = -1, 1 < u, And(-u^2 < x,x < -1), y < -u^2-x,
z = -u], [regular_chain, [[-1, -1], [2, 2], [-5/2, -5/2], [-3, -3], [-2, -2]]]
], [[4, 7, 3, 1, 3], [v = -1, 1 < u, And(-u^2 < x,x < -1), y < -u^2-x, And(-u
< z,z < u)], [regular_chain, [[-1, -1], [2, 2], [-5/2, -5/2], [-3, -3], [0, 0]
]]], [[4, 7, 3, 1, 4], [v = -1, 1 < u, And(-u^2 < x,x < -1), y < -u^2-x, z = u
], [regular_chain, [[-1, -1], [2, 2], [-5/2, -5/2], [-3, -3], [2, 2]]]], [[4,
7, 3, 1, 5], [v = -1, 1 < u, And(-u^2 < x,x < -1), y < -u^2-x, u < z], [
regular_chain, [[-1, -1], [2, 2], [-5/2, -5/2], [-3, -3], [3, 3]]]], [[8, 3, 3
, 2, 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, 3, 3, 2, 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, 3, 3, 2, 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, 3, 3, 2, 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, 3, 3, 2, 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, 7, 1, 4, 1], [v = 1,
1 < u, x < -u^2, y = -u^2-x, z < -u], [regular_chain, [[1, 1], [2, 2], [-5, -5
], [1, 1], [-3, -3]]]], [[8, 7, 1, 4, 2], [v = 1, 1 < u, x < -u^2, y = -u^2-x,
z = -u], [regular_chain, [[1, 1], [2, 2], [-5, -5], [1, 1], [-2, -2]]]], [[8,
7, 1, 4, 3], [v = 1, 1 < u, x < -u^2, y = -u^2-x, And(-u < z,z < u)], [
regular_chain, [[1, 1], [2, 2], [-5, -5], [1, 1], [0, 0]]]], [[8, 7, 1, 4, 4],
[v = 1, 1 < u, x < -u^2, y = -u^2-x, z = u], [regular_chain, [[1, 1], [2, 2],
[-5, -5], [1, 1], [2, 2]]]], [[8, 7, 1, 4, 5], [v = 1, 1 < u, x < -u^2, y = -u
^2-x, u < z], [regular_chain, [[1, 1], [2, 2], [-5, -5], [1, 1], [3, 3]]]], [[
10, 9, 1, 3, 1], [v = 2^(1/2), And(1 < u,u < v), x < -1, And(u^2+x-1 < y,y < -
u^2-x+1), z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [0, 0], [-2, -2]]]], [
[10, 9, 1, 3, 2], [v = 2^(1/2), And(1 < u,u < v), x < -1, And(u^2+x-1 < y,y <
-u^2-x+1), z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [0, 0], [-1417877/
2097152, -354469/524288]]]], [[10, 9, 1, 3, 3], [v = 2^(1/2), And(1 < u,u < v)
, x < -1, And(u^2+x-1 < y,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], [0, 0], [0, 0]]]], [[10, 9, 1, 3, 4], [v = 2^(1/2)
, And(1 < u,u < v), x < -1, And(u^2+x-1 < y,y < -u^2-x+1), z = (u^2-1)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-2, -2], [0, 0], [354469/524288, 708939/1048576]]]], [[10, 9, 1, 3,
5], [v = 2^(1/2), And(1 < u,u < v), x < -1, And(u^2+x-1 < y,y < -u^2-x+1), (u^
2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-2, -2], [0, 0], [2, 2]]]], [[11, 1, 6, 5, 1], [2^
(1/2) < v, u < -v, x = 1, u^2-v^2+2 < y, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-4, -4], [1, 1], [10, 10], [-4, -4]]]], [[11, 1, 6, 5
, 2], [2^(1/2) < v, u < -v, x = 1, u^2-v^2+2 < y, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-4, -4], [1, 1], [10, 10], [-2965821/1048576, -\
11863283/4194304]]]], [[11, 1, 6, 5, 3], [2^(1/2) < v, u < -v, x = 1, u^2-v^2+
2 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3
, 3], [-4, -4], [1, 1], [10, 10], [-3/8388608, -3/8388608]]]], [[11, 1, 6, 5,
4], [2^(1/2) < v, u < -v, x = 1, u^2-v^2+2 < y, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-4, -4], [1, 1], [10, 10], [741455/262144, 2965821/
1048576]]]], [[11, 1, 6, 5, 5], [2^(1/2) < v, u < -v, x = 1, u^2-v^2+2 < y, (u
^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-4, -4], [1, 1], [10, 10], [4,
4]]]], [[1, 10, 2, 5, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -1, 1 < y, z <
0], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1, -1], [2,
2], [-1, -1]]]], [[1, 10, 2, 5, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -1,
1 < y, z = 0], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-\
1, -1], [2, 2], [0, 0]]]], [[1, 10, 2, 5, 3], [v < -2^(1/2), u = (v^2-1)^(1/2)
, x = -1, 1 < y, 0 < z], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [-1, -1], [2, 2], [1, 1]]]], [[2, 1, 1, 2, 1], [v = -2^(1/2), u < v,
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
, 2, 2], [v = -2^(1/2), u < v, 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, 2, 3], [v = -2^(1/2),
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], [-3, -3], [-9, -9], [-1, -\
1], [-3/8388608, -3/8388608]]]], [[2, 1, 1, 2, 4], [v = -2^(1/2), u < v, 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, 2, 5], [v = -2^(1/2), u < v, 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, 5, 4, 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, 9, 2, 3, 1], [And(-2^(1/2) < v,v <
-1), -v < u, x = -u^2+v^2-1, 0 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [3, 3], [-4478937/524288, -8957873/
1048576], [1, 1], [-4, -4]]]], [[3, 9, 2, 3, 2], [And(-2^(1/2) < v,v < -1), -v
< u, x = -u^2+v^2-1, 0 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [-4478937/524288, -8957873/1048576
], [1, 1], [-1532401/524288, -24518415/8388608]]]], [[3, 9, 2, 3, 3], [And(-2^
(1/2) < v,v < -1), -v < u, x = -u^2+v^2-1, 0 < y, 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], [1, 1], [-7/16777216, -7/16777216
]]]], [[3, 9, 2, 3, 4], [And(-2^(1/2) < v,v < -1), -v < u, x = -u^2+v^2-1, 0 <
y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [-4478937/524288, -8957873/1048576], [1, 1], [3064801/
1048576, 1532401/524288]]]], [[3, 9, 2, 3, 5], [And(-2^(1/2) < v,v < -1), -v <
u, x = -u^2+v^2-1, 0 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [-4478937/524288, -8957873/1048576], [1, 1
], [4, 4]]]], [[5, 4, 1, 2, 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, 4, 1, 2, 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
, 4, 1, 2, 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, 4, 1, 2, 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,
4, 1, 2, 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]]]], [[6,
3, 1, 4, 1], [v = 0, 0 < u, x < -u^2-1, y = -u^2-x-1, z < -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-3, -3], [1, 1], [-3, -3]]]], [[6, 3, 1, 4, 2
], [v = 0, 0 < u, x < -u^2-1, y = -u^2-x-1, z = -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-3, -3], [1, 1], [-1482911/1048576, -741455/
524288]]]], [[6, 3, 1, 4, 3], [v = 0, 0 < 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], [1, 1], [-3, -3]
, [1, 1], [0, 0]]]], [[6, 3, 1, 4, 4], [v = 0, 0 < u, x < -u^2-1, y = -u^2-x-1
, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3, -3], [1, 1], [
741455/524288, 1482911/1048576]]]], [[6, 3, 1, 4, 5], [v = 0, 0 < u, x < -u^2-\
1, y = -u^2-x-1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [-3, -3]
, [1, 1], [3, 3]]]], [[9, 3, 6, 5, 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 < -(u^2-v^2+1)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [
1, 1], [3, 3], [-2, -2]]]], [[9, 3, 6, 5, 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 = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [3, 3], [-1374407/2097152, -687203/1048576]]]], [[9,
3, 6, 5, 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(-(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], [3, 3], [0, 0]]]], [[9, 3, 6, 5, 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 = (u^2-v^2+1
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [1, 1], [3, 3], [687203/1048576, 171801/262144]]]]
, [[9, 3, 6, 5, 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, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [3, 3], [2, 2]
]]], [[9, 7, 2, 5, 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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1], [2, 2],
[-2, -2]]]], [[9, 7, 2, 5, 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 = -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1],
[2, 2], [-1374407/2097152, -687203/1048576]]]], [[9, 7, 2, 5, 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(-(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], [2, 2], [0, 0]]]
], [[9, 7, 2, 5, 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 = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1], [2, 2], [687203/
1048576, 171801/262144]]]], [[9, 7, 2, 5, 5], [And(1 < v,v < 2^(1/2)), And((v^
2-1)^(1/2) < u,u < v), x = -1, -u^2+v^2 < y, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [2, 2], [2, 2]]]], [[10, 1, 5, 2, 1], [v = 2^(1/2), u < -v
, And(-1 < x,x < 1), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [0, 0], [-8, -8], [-4, -4]]]], [[10
, 1, 5, 2, 2], [v = 2^(1/2), u < -v, And(-1 < x,x < 1), y = -u^2-x+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, 5, 2, 3], [v
= 2^(1/2), u < -v, And(-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],
[0, 0], [-8, -8], [-3/8388608, -3/8388608]]]], [[10, 1, 5, 2, 4], [v = 2^(1/2)
, u < -v, And(-1 < x,x < 1), y = -u^2-x+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, 5, 2, 5], [v = 2^(1/2), u < -v, And(-1 < x,x < 1
), y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [0, 0], [-8, -8], [4, 4]]]], [[10, 5, 3, 2, 1], [v = 2^(1/
2), And(-1 < u,u < 0), And(-1 < x,x < -u^2+1), y = u^2+x-1, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-1/8, -1/8],
[-7/8, -7/8], [0, 0]]]], [[11, 10, 1, 3, 1], [2^(1/2) < v, u = (v^2-1)^(1/2),
x < -1, And(x < y,y < -x), z < 0], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [-2, -2], [0, 0], [-1, -1]]]], [[11, 10, 1, 3, 2], [2^(1/2)
< v, u = (v^2-1)^(1/2), x < -1, And(x < y,y < -x), z = 0], [regular_chain, [[3
, 3], [741455/262144, 2965821/1048576], [-2, -2], [0, 0], [0, 0]]]], [[11, 10,
1, 3, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -1, And(x < y,y < -x), 0 < z],
[regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-2, -2], [0, 0], [
1, 1]]]], [[11, 13, 6, 5, 1], [2^(1/2) < v, v < u, x = 1, u^2-v^2+2 < y, z < -
(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [1, 1], [10, 10], [-4, -4
]]]], [[11, 13, 6, 5, 2], [2^(1/2) < v, v < u, x = 1, u^2-v^2+2 < y, z = -(u^2
-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [1, 1], [10, 10], [-2965821/
1048576, -11863283/4194304]]]], [[11, 13, 6, 5, 3], [2^(1/2) < v, v < u, x = 1
, u^2-v^2+2 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[3, 3], [4, 4], [1, 1], [10, 10], [-3/8388608, -3/8388608]]]],
[[11, 13, 6, 5, 4], [2^(1/2) < v, v < u, x = 1, u^2-v^2+2 < y, z = (u^2-v^2+1)
^(1/2)], [regular_chain, [[3, 3], [4, 4], [1, 1], [10, 10], [741455/262144, 
2965821/1048576]]]], [[11, 13, 6, 5, 5], [2^(1/2) < v, v < u, x = 1, u^2-v^2+2
< y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [4, 4], [1, 1], [10, 10]
, [4, 4]]]], [[1, 2, 4, 3, 1], [v < -2^(1/2), u = v, x = 1, And(-2 < y,y < 2),
z < -1], [regular_chain, [[-3, -3], [-3, -3], [1, 1], [0, 0], [-2, -2]]]], [[1
, 2, 4, 3, 2], [v < -2^(1/2), u = v, x = 1, And(-2 < y,y < 2), z = -1], [
regular_chain, [[-3, -3], [-3, -3], [1, 1], [0, 0], [-1, -1]]]], [[1, 2, 4, 3,
3], [v < -2^(1/2), u = v, x = 1, And(-2 < y,y < 2), And(-1 < z,z < 1)], [
regular_chain, [[-3, -3], [-3, -3], [1, 1], [0, 0], [0, 0]]]], [[1, 2, 4, 3, 4
], [v < -2^(1/2), u = v, x = 1, And(-2 < y,y < 2), z = 1], [regular_chain, [[-\
3, -3], [-3, -3], [1, 1], [0, 0], [1, 1]]]], [[1, 2, 4, 3, 5], [v < -2^(1/2),
u = v, x = 1, And(-2 < y,y < 2), 1 < z], [regular_chain, [[-3, -3], [-3, -3],
[1, 1], [0, 0], [2, 2]]]], [[1, 6, 2, 3, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2)
, x = -1, And(-2 < y,y < 2), z = z], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [-1, -1], [0, 0], [0, 0]]]], [[2, 8, 7, 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, 7, 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, 7, 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]]]], [[3, 1, 6, 1, 1], [And(-2^(1/2) <
v,v < -1), u < v, 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], [-11,
-11], [-4, -4]]]], [[3, 1, 6, 1, 2], [And(-2^(1/2) < v,v < -1), u < v, 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], [-11, -11], [-1532401/524288, -24518415/
8388608]]]], [[3, 1, 6, 1, 3], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [1, 1], [-11, -11], [-7/
16777216, -7/16777216]]]], [[3, 1, 6, 1, 4], [And(-2^(1/2) < v,v < -1), u < v,
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], [-11, -11], [3064801/1048576, 
1532401/524288]]]], [[3, 1, 6, 1, 5], [And(-2^(1/2) < v,v < -1), u < v, 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], [-11, -11], [4, 4]]]], [[4, 3, 4, 3, 1], [
v = -1, And(-1 < u,u < 0), x = -u^2, 0 < y, z < u], [regular_chain, [[-1, -1],
[-1/2, -1/2], [-1/4, -1/4], [1, 1], [-2, -2]]]], [[4, 3, 4, 3, 2], [v = -1, 
And(-1 < u,u < 0), x = -u^2, 0 < y, z = u], [regular_chain, [[-1, -1], [-1/2,
-1/2], [-1/4, -1/4], [1, 1], [-1/2, -1/2]]]], [[4, 3, 4, 3, 3], [v = -1, And(-\
1 < u,u < 0), x = -u^2, 0 < y, And(u < z,z < -u)], [regular_chain, [[-1, -1],
[-1/2, -1/2], [-1/4, -1/4], [1, 1], [0, 0]]]], [[4, 3, 4, 3, 4], [v = -1, And(
-1 < u,u < 0), x = -u^2, 0 < y, z = -u], [regular_chain, [[-1, -1], [-1/2, -1/
2], [-1/4, -1/4], [1, 1], [1/2, 1/2]]]], [[4, 3, 4, 3, 5], [v = -1, And(-1 < u
,u < 0), x = -u^2, 0 < y, -u < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-\
1/4, -1/4], [1, 1], [2, 2]]]], [[4, 7, 3, 2, 1], [v = -1, 1 < u, And(-u^2 < x,
x < -1), y = -u^2-x, z < -u], [regular_chain, [[-1, -1], [2, 2], [-5/2, -5/2],
[-3/2, -3/2], [-3, -3]]]], [[4, 7, 3, 2, 2], [v = -1, 1 < u, And(-u^2 < x,x <
-1), y = -u^2-x, z = -u], [regular_chain, [[-1, -1], [2, 2], [-5/2, -5/2], [-3
/2, -3/2], [-2, -2]]]], [[4, 7, 3, 2, 3], [v = -1, 1 < u, And(-u^2 < x,x < -1)
, y = -u^2-x, And(-u < z,z < u)], [regular_chain, [[-1, -1], [2, 2], [-5/2, -5
/2], [-3/2, -3/2], [0, 0]]]], [[4, 7, 3, 2, 4], [v = -1, 1 < u, And(-u^2 < x,x
< -1), y = -u^2-x, z = u], [regular_chain, [[-1, -1], [2, 2], [-5/2, -5/2], [-\
3/2, -3/2], [2, 2]]]], [[4, 7, 3, 2, 5], [v = -1, 1 < u, And(-u^2 < x,x < -1),
y = -u^2-x, u < z], [regular_chain, [[-1, -1], [2, 2], [-5/2, -5/2], [-3/2, -3
/2], [3, 3]]]], [[8, 3, 3, 1, 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], [
-2, -2], [-2, -2]]]], [[8, 3, 3, 1, 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], [-2, -2], [-1/2, -1/2]]]], [[8, 3, 3, 1, 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], [-2, -2], [0, 0]]]], [[8, 3, 3, 1, 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], [-2, -2], [1/2, 1/2]]]], [[8, 3, 3, 1, 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], [-2, -2], [2, 2]]]], [[8,
7, 1, 3, 1], [v = 1, 1 < u, x < -u^2, And(u^2+x < y,y < -u^2-x), z < -u], [
regular_chain, [[1, 1], [2, 2], [-5, -5], [0, 0], [-3, -3]]]], [[8, 7, 1, 3, 2
], [v = 1, 1 < u, x < -u^2, And(u^2+x < y,y < -u^2-x), z = -u], [regular_chain
, [[1, 1], [2, 2], [-5, -5], [0, 0], [-2, -2]]]], [[8, 7, 1, 3, 3], [v = 1, 1
< u, x < -u^2, And(u^2+x < y,y < -u^2-x), And(-u < z,z < u)], [regular_chain,
[[1, 1], [2, 2], [-5, -5], [0, 0], [0, 0]]]], [[8, 7, 1, 3, 4], [v = 1, 1 < u,
x < -u^2, And(u^2+x < y,y < -u^2-x), z = u], [regular_chain, [[1, 1], [2, 2],
[-5, -5], [0, 0], [2, 2]]]], [[8, 7, 1, 3, 5], [v = 1, 1 < u, x < -u^2, And(u^
2+x < y,y < -u^2-x), u < z], [regular_chain, [[1, 1], [2, 2], [-5, -5], [0, 0]
, [3, 3]]]], [[10, 9, 1, 4, 1], [v = 2^(1/2), And(1 < u,u < v), x < -1, y = -u
^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [1265743/1048576, 1265743/1048576], [-2, -2], [1617841/1048576, 808921/
524288], [-2, -2]]]], [[10, 9, 1, 4, 2], [v = 2^(1/2), And(1 < u,u < v), x < -\
1, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [1617841/1048576, 
808921/524288], [-1417877/2097152, -354469/524288]]]], [[10, 9, 1, 4, 3], [v =
2^(1/2), And(1 < u,u < v), 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], [-2, -2], [1617841/1048576, 808921/524288], [0, 0]]
]], [[10, 9, 1, 4, 4], [v = 2^(1/2), And(1 < u,u < v), x < -1, y = -u^2-x+1, z
= (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-2, -2], [1617841/1048576, 808921/524288], [354469
/524288, 708939/1048576]]]], [[10, 9, 1, 4, 5], [v = 2^(1/2), And(1 < u,u < v)
, x < -1, y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [1617841/
1048576, 808921/524288], [2, 2]]]], [[11, 1, 7, 1, 1], [2^(1/2) < v, u < -v, 1
< x, y < -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4,
-4], [2, 2], [-11, -11], [-4, -4]]]], [[11, 1, 7, 1, 2], [2^(1/2) < v, u < -v,
1 < x, y < -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4
, -4], [2, 2], [-11, -11], [-2965821/1048576, -11863283/4194304]]]], [[11, 1,
7, 1, 3], [2^(1/2) < v, 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], [-4, -4], [2, 2], [-11
, -11], [-3/8388608, -3/8388608]]]], [[11, 1, 7, 1, 4], [2^(1/2) < v, u < -v,
1 < x, y < -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4,
-4], [2, 2], [-11, -11], [741455/262144, 2965821/1048576]]]], [[11, 1, 7, 1, 5
], [2^(1/2) < v, u < -v, 1 < x, y < -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-4, -4], [2, 2], [-11, -11], [4, 4]]]], [[1, 3, 2, 2,
1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, y = u^2-v^2, z < -(u
^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-1, -1], [-1064009/2097152, -133001/262144], [-2, -2]]]], [[1, 3, 2
, 2, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, y = u^2-v^2, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-1, -1], [-1064009/2097152, -133001/262144], [-735979/1048576, -\
1471957/2097152]]]], [[1, 3, 2, 2, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), x = -1, y = u^2-v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))]
, [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-1, -1], [
-1064009/2097152, -133001/262144], [-1/4194304, -1/4194304]]]], [[1, 3, 2, 2,
4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, y = u^2-v^2, z = (u^
2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-1, -1], [-1064009/2097152, -133001/262144], [367989/524288, 735979
/1048576]]]], [[1, 3, 2, 2, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)),
x = -1, y = u^2-v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-1, -1], [-1064009/2097152, -133001/
262144], [2, 2]]]], [[1, 6, 4, 3, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 1
, 0 < y, z = z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/
1048576], [1, 1], [1, 1], [0, 0]]]], [[2, 8, 7, 2, 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, 7, 2, 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, 7, 2, 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]]]], [[3, 1, 4, 5, 1], [And(-2^(1/2) < v,v < -1), u < v
, x = -1, u^2-v^2 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [-1, -1], [9, 9], [-4, -4]]]], [[3, 1, 4
, 5, 2], [And(-2^(1/2) < v,v < -1), u < v, x = -1, u^2-v^2 < y, z = -(u^2-v^2+
1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-\
1, -1], [9, 9], [-1532401/524288, -24518415/8388608]]]], [[3, 1, 4, 5, 3], [
And(-2^(1/2) < v,v < -1), u < v, x = -1, u^2-v^2 < y, 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], [9, 9], [-7/16777216, -7/16777216]]]], [[3, 1, 4
, 5, 4], [And(-2^(1/2) < v,v < -1), u < v, x = -1, u^2-v^2 < y, z = (u^2-v^2+1
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1
, -1], [9, 9], [3064801/1048576, 1532401/524288]]]], [[3, 1, 4, 5, 5], [And(-2
^(1/2) < v,v < -1), u < v, x = -1, u^2-v^2 < y, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [9,
9], [4, 4]]]], [[4, 3, 7, 4, 1], [v = -1, And(-1 < u,u < 0), 1 < x, y = u^2+x,
z < u], [regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [9/4, 9/4], [-2, -2]]
]], [[4, 3, 7, 4, 2], [v = -1, And(-1 < u,u < 0), 1 < x, y = u^2+x, z = u], [
regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [9/4, 9/4], [-1/2, -1/2]]]], [
[4, 3, 7, 4, 3], [v = -1, And(-1 < u,u < 0), 1 < x, y = u^2+x, And(u < z,z < -
u)], [regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [9/4, 9/4], [0, 0]]]], [
[4, 3, 7, 4, 4], [v = -1, And(-1 < u,u < 0), 1 < x, y = u^2+x, z = -u], [
regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [9/4, 9/4], [1/2, 1/2]]]], [[4
, 3, 7, 4, 5], [v = -1, And(-1 < u,u < 0), 1 < x, y = u^2+x, -u < z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [9/4, 9/4], [2, 2]]]], [[4, 7,
5, 2, 1], [v = -1, 1 < u, And(-1 < x,x < 1), y = -u^2-x, z < -u], [
regular_chain, [[-1, -1], [2, 2], [0, 0], [-4, -4], [-3, -3]]]], [[4, 7, 5, 2,
2], [v = -1, 1 < u, And(-1 < x,x < 1), y = -u^2-x, z = -u], [regular_chain, [[
-1, -1], [2, 2], [0, 0], [-4, -4], [-2, -2]]]], [[4, 7, 5, 2, 3], [v = -1, 1 <
u, And(-1 < x,x < 1), y = -u^2-x, And(-u < z,z < u)], [regular_chain, [[-1, -1
], [2, 2], [0, 0], [-4, -4], [0, 0]]]], [[4, 7, 5, 2, 4], [v = -1, 1 < u, And(
-1 < x,x < 1), y = -u^2-x, z = u], [regular_chain, [[-1, -1], [2, 2], [0, 0],
[-4, -4], [2, 2]]]], [[4, 7, 5, 2, 5], [v = -1, 1 < u, And(-1 < x,x < 1), y =
-u^2-x, u < z], [regular_chain, [[-1, -1], [2, 2], [0, 0], [-4, -4], [3, 3]]]]
, [[8, 3, 2, 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,
3, 2, 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, 3, 2, 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, 3, 2, 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
, 3, 2, 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, 6,
5, 2, 1], [v = 1, u = 1, 1 < x, y = -1-x, z < -1], [regular_chain, [[1, 1], [1
, 1], [2, 2], [-3, -3], [-2, -2]]]], [[8, 6, 5, 2, 2], [v = 1, u = 1, 1 < x, y
= -1-x, z = -1], [regular_chain, [[1, 1], [1, 1], [2, 2], [-3, -3], [-1, -1]]]
], [[8, 6, 5, 2, 3], [v = 1, u = 1, 1 < x, y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[1, 1], [1, 1], [2, 2], [-3, -3], [0, 0]]]], [[8, 6, 5, 2, 4],
[v = 1, u = 1, 1 < x, y = -1-x, z = 1], [regular_chain, [[1, 1], [1, 1], [2, 2
], [-3, -3], [1, 1]]]], [[8, 6, 5, 2, 5], [v = 1, u = 1, 1 < x, y = -1-x, 1 <
z], [regular_chain, [[1, 1], [1, 1], [2, 2], [-3, -3], [2, 2]]]], [[10, 9, 2,
5, 1], [v = 2^(1/2), And(1 < u,u < v), x = -1, -u^2+2 < y, z < -(u^2-1)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743
/1048576], [-1, -1], [2, 2], [-2, -2]]]], [[10, 9, 2, 5, 2], [v = 2^(1/2), And
(1 < u,u < v), x = -1, -u^2+2 < y, z = -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-1, -1],
[2, 2], [-1417877/2097152, -354469/524288]]]], [[10, 9, 2, 5, 3], [v = 2^(1/2)
, And(1 < u,u < v), x = -1, -u^2+2 < y, 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], [2, 2], [0, 0]]]], [[10, 9, 2, 5, 4], [v = 2^(1/2)
, And(1 < u,u < v), x = -1, -u^2+2 < y, z = (u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-1, -1],
[2, 2], [354469/524288, 708939/1048576]]]], [[10, 9, 2, 5, 5], [v = 2^(1/2), 
And(1 < u,u < v), x = -1, -u^2+2 < y, (u^2-1)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-1, -1],
[2, 2], [2, 2]]]], [[11, 1, 7, 3, 1], [2^(1/2) < v, u < -v, 1 < x, And(-u^2+v^
2-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3],
[-4, -4], [2, 2], [0, 0], [-4, -4]]]], [[11, 1, 7, 3, 2], [2^(1/2) < v, u < -v
, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-4, -4], [2, 2], [0, 0], [-2965821/1048576, -11863283
/4194304]]]], [[11, 1, 7, 3, 3], [2^(1/2) < v, u < -v, 1 < x, And(-u^2+v^2-x-1
< y,y < u^2-v^2+x+1), And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[3, 3], [-4, -4], [2, 2], [0, 0], [-3/8388608, -3/8388608]]]],
[[11, 1, 7, 3, 4], [2^(1/2) < v, u < -v, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v
^2+x+1), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [2, 2], [0
, 0], [741455/262144, 2965821/1048576]]]], [[11, 1, 7, 3, 5], [2^(1/2) < v, u
< -v, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-4, -4], [2, 2], [0, 0], [4, 4]]]], [[1, 10, 4, 1, 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], [-1, -1], [-1, -1]]]], [[1, 
10, 4, 1, 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], [-1, -1],
[0, 0]]]], [[1, 10, 4, 1, 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], [
-1, -1], [1, 1]]]], [[2, 1, 1, 4, 1], [v = -2^(1/2), u < v, x < -u^2+1, y = -u
^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [-9, -9], [1, 1], [-4, -4]]]], [[2, 1, 1, 4, 2], [v = -2^(1
/2), u < v, x < -u^2+1, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [-9, -9], [1, 1], [-2965821/
1048576, -11863283/4194304]]]], [[2, 1, 1, 4, 3], [v = -2^(1/2), u < 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], [-3, -3], [-9, -9], [1, 1], [-3/8388608
, -3/8388608]]]], [[2, 1, 1, 4, 4], [v = -2^(1/2), u < v, x < -u^2+1, y = -u^2
-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-3, -3], [-9, -9], [1, 1], [741455/262144, 2965821/1048576]]]], [[2, 1, 1, 4,
5], [v = -2^(1/2), u < v, 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, 5, 2, 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, 8, 4,
4, 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, 8, 4, 4, 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, 8, 4, 4, 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, 8, 4, 4, 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, 8, 4, 4, 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]]]], [[5, 4, 2, 3, 1]
, [And(-1 < v,v < 0), u = -v, x = -1, 0 < y, z < -1], [regular_chain, [[-1/2,
-1/2], [1/2, 1/2], [-1, -1], [1, 1], [-2, -2]]]], [[5, 4, 2, 3, 2], [And(-1 <
v,v < 0), u = -v, x = -1, 0 < y, z = -1], [regular_chain, [[-1/2, -1/2], [1/2,
1/2], [-1, -1], [1, 1], [-1, -1]]]], [[5, 4, 2, 3, 3], [And(-1 < v,v < 0), u =
-v, x = -1, 0 < y, And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/2], [1/2, 1/
2], [-1, -1], [1, 1], [0, 0]]]], [[5, 4, 2, 3, 4], [And(-1 < v,v < 0), u = -v,
x = -1, 0 < y, z = 1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1, -1], [1
, 1], [1, 1]]]], [[5, 4, 2, 3, 5], [And(-1 < v,v < 0), u = -v, x = -1, 0 < y,
1 < z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1, -1], [1, 1], [2, 2]]]]
, [[6, 3, 2, 1, 1], [v = 0, 0 < u, x = -u^2-1, y < 0, z < -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-2, -2], [-1, -1], [-3, -3]]]], [[6, 3, 2, 1,
2], [v = 0, 0 < u, x = -u^2-1, y < 0, z = -(u^2+1)^(1/2)], [regular_chain, [[0
, 0], [1, 1], [-2, -2], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[6,
3, 2, 1, 3], [v = 0, 0 < u, x = -u^2-1, y < 0, And(-(u^2+1)^(1/2) < z,z < (u^2
+1)^(1/2))], [regular_chain, [[0, 0], [1, 1], [-2, -2], [-1, -1], [0, 0]]]], [
[6, 3, 2, 1, 4], [v = 0, 0 < u, x = -u^2-1, y < 0, z = (u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-2, -2], [-1, -1], [741455/524288, 1482911/
1048576]]]], [[6, 3, 2, 1, 5], [v = 0, 0 < u, x = -u^2-1, y < 0, (u^2+1)^(1/2)
< z], [regular_chain, [[0, 0], [1, 1], [-2, -2], [-1, -1], [3, 3]]]], [[9, 3,
4, 3, 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+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -\
225185/524288], [1, 1], [-2, -2]]]], [[9, 3, 4, 3, 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+1)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-450371/1048576, -225185/524288], [1, 1], [-1374407/2097152
, -687203/1048576]]]], [[9, 3, 4, 3, 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+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], [1, 1], [0, 0]
]]], [[9, 3, 4, 3, 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+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-450371/
1048576, -225185/524288], [1, 1], [687203/1048576, 171801/262144]]]], [[9, 3,
4, 3, 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+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -225185/
524288], [1, 1], [2, 2]]]], [[9, 6, 7, 1, 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], [-3, -3], [-1, -1]]]], [[9,
6, 7, 1, 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], [-3, -3], [0, 0]]]], [[9, 6, 7, 1, 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], [-3, -3],
[1, 1]]]], [[10, 2, 1, 1, 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], [-2, -2], [-2, -2]]]], [[10, 2, 1, 1, 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], [-2, -2], [-1, -1]]]], [[10,
2, 1, 1, 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], [-2, -2], [0, 0]]]], [[10, 2, 1, 1, 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], [-2, -2], [1, 1]]]], [[10, 2, 1,
1, 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], [-2,
-2], [2, 2]]]], [[10, 5, 5, 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]]]], [[11, 10, 1, 1, 1],
[2^(1/2) < v, u = (v^2-1)^(1/2), x < -1, y < x, z < 0], [regular_chain, [[3, 3
], [741455/262144, 2965821/1048576], [-2, -2], [-3, -3], [-1, -1]]]], [[11, 10
, 1, 1, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -1, y < x, z = 0], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-2, -2], [-3, -3],
[0, 0]]]], [[11, 10, 1, 1, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -1, y < x,
0 < z], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-2, -2], [
-3, -3], [1, 1]]]], [[11, 13, 5, 4, 1], [2^(1/2) < v, v < u, And(-1 < x,x < 1)
, y = u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [
0, 0], [8, 8], [-4, -4]]]], [[11, 13, 5, 4, 2], [2^(1/2) < v, v < u, And(-1 <
x,x < 1), y = u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [
4, 4], [0, 0], [8, 8], [-2965821/1048576, -11863283/4194304]]]], [[11, 13, 5,
4, 3], [2^(1/2) < v, v < u, And(-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], [4, 4], [0, 0],
[8, 8], [-3/8388608, -3/8388608]]]], [[11, 13, 5, 4, 4], [2^(1/2) < v, v < u,
And(-1 < x,x < 1), y = u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
3, 3], [4, 4], [0, 0], [8, 8], [741455/262144, 2965821/1048576]]]], [[11, 13,
5, 4, 5], [2^(1/2) < v, v < u, And(-1 < x,x < 1), y = u^2-v^2+x+1, (u^2-v^2+1)
^(1/2) < z], [regular_chain, [[3, 3], [4, 4], [0, 0], [8, 8], [4, 4]]]], [[1,
3, 2, 1, 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], [-2, -2], [-2, -2]]]], [[1, 3, 2, 1, 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]
, [-2, -2], [-735979/1048576, -1471957/2097152]]]], [[1, 3, 2, 1, 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], [-2, -2], [-1/4194304, -1/4194304]]]], [[1, 3, 2,
1, 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], [-2, -2], [367989/524288, 735979/1048576]]]], [[1, 3, 2, 1
, 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], [-2, -2], [2, 2]]]], [[1, 6, 4, 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]]]], [[2, 8, 7, 3, 1], [v =
-2^(1/2), u = 1, 1 < x, And(-x < y,y < x), z < 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [2, 2], [0, 0], [-1, -1]]]], [[2, 8, 7, 3, 2
], [v = -2^(1/2), u = 1, 1 < x, And(-x < y,y < x), z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [2, 2], [0, 0], [0, 0]]]], [[2, 8, 7
, 3, 3], [v = -2^(1/2), u = 1, 1 < x, And(-x < y,y < x), 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [2, 2], [0, 0], [1
, 1]]]], [[3, 1, 5, 1, 1], [And(-2^(1/2) < v,v < -1), u < v, And(-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], [0, 0], [-10, -10], [-4, -4]]]], [[3, 1,
5, 1, 2], [And(-2^(1/2) < v,v < -1), u < v, And(-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], [0, 0], [-10, -10], [-1532401/524288, -24518415/8388608]]]
], [[3, 1, 5, 1, 3], [And(-2^(1/2) < v,v < -1), u < v, And(-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], [0, 0], [-10,
-10], [-7/16777216, -7/16777216]]]], [[3, 1, 5, 1, 4], [And(-2^(1/2) < v,v < -\
1), u < v, And(-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], [0, 0], [-10,
-10], [3064801/1048576, 1532401/524288]]]], [[3, 1, 5, 1, 5], [And(-2^(1/2) <
v,v < -1), u < v, And(-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], [0, 0], [-10,
-10], [4, 4]]]], [[4, 3, 7, 3, 1], [v = -1, And(-1 < u,u < 0), 1 < x, And(-u^2
-x < y,y < u^2+x), z < u], [regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [0
, 0], [-2, -2]]]], [[4, 3, 7, 3, 2], [v = -1, And(-1 < u,u < 0), 1 < x, And(-u
^2-x < y,y < u^2+x), z = u], [regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2],
[0, 0], [-1/2, -1/2]]]], [[4, 3, 7, 3, 3], [v = -1, And(-1 < u,u < 0), 1 < x,
And(-u^2-x < y,y < u^2+x), And(u < z,z < -u)], [regular_chain, [[-1, -1], [-1/
2, -1/2], [2, 2], [0, 0], [0, 0]]]], [[4, 3, 7, 3, 4], [v = -1, And(-1 < u,u <
0), 1 < x, And(-u^2-x < y,y < u^2+x), z = -u], [regular_chain, [[-1, -1], [-1/
2, -1/2], [2, 2], [0, 0], [1/2, 1/2]]]], [[4, 3, 7, 3, 5], [v = -1, And(-1 < u
,u < 0), 1 < x, And(-u^2-x < y,y < u^2+x), -u < z], [regular_chain, [[-1, -1],
[-1/2, -1/2], [2, 2], [0, 0], [2, 2]]]], [[4, 7, 5, 1, 1], [v = -1, 1 < u, And
(-1 < x,x < 1), y < -u^2-x, z < -u], [regular_chain, [[-1, -1], [2, 2], [0, 0]
, [-5, -5], [-3, -3]]]], [[4, 7, 5, 1, 2], [v = -1, 1 < u, And(-1 < x,x < 1),
y < -u^2-x, z = -u], [regular_chain, [[-1, -1], [2, 2], [0, 0], [-5, -5], [-2,
-2]]]], [[4, 7, 5, 1, 3], [v = -1, 1 < u, And(-1 < x,x < 1), y < -u^2-x, And(-
u < z,z < u)], [regular_chain, [[-1, -1], [2, 2], [0, 0], [-5, -5], [0, 0]]]],
[[4, 7, 5, 1, 4], [v = -1, 1 < u, And(-1 < x,x < 1), y < -u^2-x, z = u], [
regular_chain, [[-1, -1], [2, 2], [0, 0], [-5, -5], [2, 2]]]], [[4, 7, 5, 1, 5
], [v = -1, 1 < u, And(-1 < x,x < 1), y < -u^2-x, u < z], [regular_chain, [[-1
, -1], [2, 2], [0, 0], [-5, -5], [3, 3]]]], [[8, 3, 2, 5, 1], [v = 1, And(-1 <
u,u < 0), x = -1, -u^2+1 < y, z < u], [regular_chain, [[1, 1], [-1/2, -1/2], [
-1, -1], [2, 2], [-2, -2]]]], [[8, 3, 2, 5, 2], [v = 1, And(-1 < u,u < 0), x =
-1, -u^2+1 < y, z = u], [regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [2, 2
], [-1/2, -1/2]]]], [[8, 3, 2, 5, 3], [v = 1, And(-1 < u,u < 0), x = -1, -u^2+
1 < y, And(u < z,z < -u)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [2
, 2], [0, 0]]]], [[8, 3, 2, 5, 4], [v = 1, And(-1 < u,u < 0), x = -1, -u^2+1 <
y, z = -u], [regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [2, 2], [1/2, 1/2
]]]], [[8, 3, 2, 5, 5], [v = 1, And(-1 < u,u < 0), x = -1, -u^2+1 < y, -u < z]
, [regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [2, 2], [2, 2]]]], [[8, 6,
5, 3, 1], [v = 1, u = 1, 1 < x, And(-1-x < y,y < x+1), z < -1], [regular_chain
, [[1, 1], [1, 1], [2, 2], [0, 0], [-2, -2]]]], [[8, 6, 5, 3, 2], [v = 1, u =
1, 1 < x, And(-1-x < y,y < x+1), z = -1], [regular_chain, [[1, 1], [1, 1], [2,
2], [0, 0], [-1, -1]]]], [[8, 6, 5, 3, 3], [v = 1, u = 1, 1 < x, And(-1-x < y,
y < x+1), And(-1 < z,z < 1)], [regular_chain, [[1, 1], [1, 1], [2, 2], [0, 0],
[0, 0]]]], [[8, 6, 5, 3, 4], [v = 1, u = 1, 1 < x, And(-1-x < y,y < x+1), z =
1], [regular_chain, [[1, 1], [1, 1], [2, 2], [0, 0], [1, 1]]]], [[8, 6, 5, 3,
5], [v = 1, u = 1, 1 < x, And(-1-x < y,y < x+1), 1 < z], [regular_chain, [[1,
1], [1, 1], [2, 2], [0, 0], [2, 2]]]], [[10, 9, 2, 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], [
569265/1048576, 284633/524288], [-2, -2]]]], [[10, 9, 2, 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],
[569265/1048576, 284633/524288], [-1417877/2097152, -354469/524288]]]], [[10,
9, 2, 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], [569265/1048576, 
284633/524288], [0, 0]]]], [[10, 9, 2, 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], [569265/
1048576, 284633/524288], [354469/524288, 708939/1048576]]]], [[10, 9, 2, 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], [569265/1048576, 284633/524288], [2, 2]]]], [[11, 1, 7, 2,
1], [2^(1/2) < v, u < -v, 1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-4, -4], [2, 2], [-10, -10], [-4, -4]]]], [[11, 1, 7,
2, 2], [2^(1/2) < v, u < -v, 1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)],
[regular_chain, [[3, 3], [-4, -4], [2, 2], [-10, -10], [-2965821/1048576, -\
11863283/4194304]]]], [[11, 1, 7, 2, 3], [2^(1/2) < v, 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], [-4, -4], [2, 2], [-10, -10], [-3/8388608, -3/8388608]]]], [[11, 1, 7
, 2, 4], [2^(1/2) < v, u < -v, 1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)]
, [regular_chain, [[3, 3], [-4, -4], [2, 2], [-10, -10], [741455/262144, 
2965821/1048576]]]], [[11, 1, 7, 2, 5], [2^(1/2) < v, u < -v, 1 < x, y = -u^2+
v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-4, -4], [2, 2], [-\
10, -10], [4, 4]]]], [[1, 10, 3, 5, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), And(
-1 < x,x < 0), -x < y, z < 0], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [-1/2, -1/2], [2, 2], [-1, -1]]]], [[1, 10, 3, 5, 2], [v < -
2^(1/2), u = (v^2-1)^(1/2), And(-1 < x,x < 0), -x < y, z = 0], [regular_chain,
[[-3, -3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [2, 2], [0, 0]]]],
[[1, 10, 3, 5, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-1 < x,x < 0), -x < y
, 0 < z], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1/2,
-1/2], [2, 2], [1, 1]]]], [[2, 1, 1, 3, 1], [v = -2^(1/2), u < v, x < -u^2+1,
And(u^2+x-1 < y,y < -u^2-x+1), z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [-3, -3], [-9, -9], [0, 0], [-4, -4]]]], [[2, 1, 1,
3, 2], [v = -2^(1/2), u < v, x < -u^2+1, And(u^2+x-1 < y,y < -u^2-x+1), z = -(
u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3],
[-9, -9], [0, 0], [-2965821/1048576, -11863283/4194304]]]], [[2, 1, 1, 3, 3],
[v = -2^(1/2), u < v, x < -u^2+1, And(u^2+x-1 < y,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], [0, 0], [-3/8388608, -3/8388608]]]], [[2, 1, 1, 3
, 4], [v = -2^(1/2), u < v, x < -u^2+1, And(u^2+x-1 < y,y < -u^2-x+1), z = (u^
2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-\
9, -9], [0, 0], [741455/262144, 2965821/1048576]]]], [[2, 1, 1, 3, 5], [v = -2
^(1/2), u < v, x < -u^2+1, And(u^2+x-1 < y,y < -u^2-x+1), (u^2-1)^(1/2) < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9, -9], [0, 0
], [4, 4]]]], [[3, 5, 2, 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, 8, 4, 5, 1], [And(-2^(1/2) < v,v < -1), u = -v
, x = 1, 2 < y, z < -1], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [1265743/1048576, 1265743/1048576], [1, 1], [3, 3], [-2, -2]]]], [[3, 8, 4,
5, 2], [And(-2^(1/2) < v,v < -1), u = -v, x = 1, 2 < y, z = -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [1, 1], [3, 3], [-1, -1]]]], [[3, 8, 4, 5, 3], [And(-2^(1/2)
< v,v < -1), u = -v, x = 1, 2 < y, And(-1 < z,z < 1)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [1, 1]
, [3, 3], [0, 0]]]], [[3, 8, 4, 5, 4], [And(-2^(1/2) < v,v < -1), u = -v, x =
1, 2 < y, z = 1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [1, 1], [3, 3], [1, 1]]]], [[3, 8, 4, 5, 5]
, [And(-2^(1/2) < v,v < -1), u = -v, x = 1, 2 < y, 1 < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [1, 1]
, [3, 3], [2, 2]]]], [[5, 4, 2, 2, 1], [And(-1 < v,v < 0), u = -v, x = -1, y =
0, z < -1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1, -1], [0, 0], [-2,
-2]]]], [[5, 4, 2, 2, 2], [And(-1 < v,v < 0), u = -v, x = -1, y = 0, z = -1],
[regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1, -1], [0, 0], [-1, -1]]]], [[5,
4, 2, 2, 3], [And(-1 < v,v < 0), u = -v, x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1, -1], [0, 0], [0, 0]]]], [[5, 4,
2, 2, 4], [And(-1 < v,v < 0), u = -v, x = -1, y = 0, z = 1], [regular_chain, [
[-1/2, -1/2], [1/2, 1/2], [-1, -1], [0, 0], [1, 1]]]], [[5, 4, 2, 2, 5], [And(
-1 < v,v < 0), u = -v, x = -1, y = 0, 1 < z], [regular_chain, [[-1/2, -1/2], [
1/2, 1/2], [-1, -1], [0, 0], [2, 2]]]], [[6, 3, 1, 5, 1], [v = 0, 0 < u, x < -
u^2-1, -u^2-x-1 < y, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3
, -3], [2, 2], [-3, -3]]]], [[6, 3, 1, 5, 2], [v = 0, 0 < u, x < -u^2-1, -u^2-
x-1 < y, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3, -3], [2, 2
], [-1482911/1048576, -741455/524288]]]], [[6, 3, 1, 5, 3], [v = 0, 0 < u, x <
-u^2-1, -u^2-x-1 < y, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [
regular_chain, [[0, 0], [1, 1], [-3, -3], [2, 2], [0, 0]]]], [[6, 3, 1, 5, 4],
[v = 0, 0 < u, x < -u^2-1, -u^2-x-1 < y, z = (u^2+1)^(1/2)], [regular_chain, [
[0, 0], [1, 1], [-3, -3], [2, 2], [741455/524288, 1482911/1048576]]]], [[6, 3,
1, 5, 5], [v = 0, 0 < u, x < -u^2-1, -u^2-x-1 < y, (u^2+1)^(1/2) < z], [
regular_chain, [[0, 0], [1, 1], [-3, -3], [2, 2], [3, 3]]]], [[9, 3, 5, 1, 1],
[And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x
< 1), y < -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [299103/
1048576, 299103/1048576], [-2, -2], [-2, -2]]]], [[9, 3, 5, 1, 2], [And(1 < v,
v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y < -
u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [299103/1048576, 
299103/1048576], [-2, -2], [-1374407/2097152, -687203/1048576]]]], [[9, 3, 5,
1, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1
< x,x < 1), y < -u^2+v^2-x-1, And(-(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], [299103/1048576, 299103/1048576], [-2, -2], [0, 0]]]], [[9,
3, 5, 1, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2
+v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [
299103/1048576, 299103/1048576], [-2, -2], [687203/1048576, 171801/262144]]]],
[[9, 3, 5, 1, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And
(-u^2+v^2-1 < x,x < 1), y < -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [299103/1048576, 299103/1048576], [-2, -2], [2, 2]]]], [[9,
6, 7, 2, 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, 6, 7, 2, 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, 6, 7, 2, 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]]]], [[10, 1, 7, 5, 1], [v =
2^(1/2), u < -v, 1 < x, u^2+x-1 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [2, 2], [11, 11], [-4, -4]]]], [[10
, 1, 7, 5, 2], [v = 2^(1/2), u < -v, 1 < x, u^2+x-1 < y, z = -(u^2-1)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [2, 2], [11, 11],
[-2965821/1048576, -11863283/4194304]]]], [[10, 1, 7, 5, 3], [v = 2^(1/2), u <
-v, 1 < x, u^2+x-1 < y, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [2, 2], [11, 11],
[-3/8388608, -3/8388608]]]], [[10, 1, 7, 5, 4], [v = 2^(1/2), u < -v, 1 < x, u
^2+x-1 < y, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [2, 2], [11, 11], [741455/262144, 2965821/1048576]]]], [[
10, 1, 7, 5, 5], [v = 2^(1/2), u < -v, 1 < x, u^2+x-1 < y, (u^2-1)^(1/2) < z],
[regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [2, 2], [11, 11],
[4, 4]]]], [[10, 5, 5, 3, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,
x < 1), And(-u^2-x+1 < y,y < u^2+x-1), z = z], [regular_chain, [[741455/524288
, 1482911/1048576], [-1/2, -1/2], [7/8, 7/8], [0, 0], [0, 0]]]], [[11, 10, 1,
2, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -1, y = x, z < 0], [regular_chain,
[[3, 3], [741455/262144, 2965821/1048576], [-2, -2], [-2, -2], [-1, -1]]]], [[
11, 10, 1, 2, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -1, y = x, z = 0], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-2, -2], [-2, -2],
[0, 0]]]], [[11, 10, 1, 2, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -1, y = x,
0 < z], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-2, -2], [
-2, -2], [1, 1]]]], [[11, 13, 5, 5, 1], [2^(1/2) < v, v < u, And(-1 < x,x < 1)
, u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [
0, 0], [9, 9], [-4, -4]]]], [[11, 13, 5, 5, 2], [2^(1/2) < v, v < u, And(-1 <
x,x < 1), u^2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [
4, 4], [0, 0], [9, 9], [-2965821/1048576, -11863283/4194304]]]], [[11, 13, 5,
5, 3], [2^(1/2) < v, v < u, And(-1 < x,x < 1), u^2-v^2+x+1 < y, And(-(u^2-v^2+
1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [4, 4], [0, 0],
[9, 9], [-3/8388608, -3/8388608]]]], [[11, 13, 5, 5, 4], [2^(1/2) < v, v < u,
And(-1 < x,x < 1), u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
3, 3], [4, 4], [0, 0], [9, 9], [741455/262144, 2965821/1048576]]]], [[11, 13,
5, 5, 5], [2^(1/2) < v, v < u, And(-1 < x,x < 1), u^2-v^2+x+1 < y, (u^2-v^2+1)
^(1/2) < z], [regular_chain, [[3, 3], [4, 4], [0, 0], [9, 9], [4, 4]]]], [[1,
3, 1, 5, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x < -1, -u^2+v^2-x-\
1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152,
-6111549/2097152], [-2, -2], [3, 3], [-2, -2]]]], [[1, 3, 1, 5, 2], [v < -2^(1
/2), And(v < u,u < -(v^2-1)^(1/2)), x < -1, -u^2+v^2-x-1 < y, z = -(u^2-v^2+1)
^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-2,
-2], [3, 3], [-735979/1048576, -1471957/2097152]]]], [[1, 3, 1, 5, 3], [v < -2
^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x < -1, -u^2+v^2-x-1 < y, 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], [3, 3], [-1/4194304, -1/4194304]]]], [[1
, 3, 1, 5, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x < -1, -u^2+v^2-
x-1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152,
-6111549/2097152], [-2, -2], [3, 3], [367989/524288, 735979/1048576]]]], [[1,
3, 1, 5, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x < -1, -u^2+v^2-x-\
1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-2, -2], [3, 3], [2, 2]]]], [[1, 6, 5, 2, 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]]]], [[2, 8, 6, 5,
1], [v = -2^(1/2), u = 1, x = 1, 1 < y, z < 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [1, 1], [2, 2], [-1, -1]]]], [[2, 8, 6, 5, 2
], [v = -2^(1/2), u = 1, x = 1, 1 < y, z = 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [1, 1], [2, 2], [0, 0]]]], [[2, 8, 6, 5, 3],
[v = -2^(1/2), u = 1, x = 1, 1 < y, 0 < z], [regular_chain, [[-1482911/1048576
, -741455/524288], [1, 1], [1, 1], [2, 2], [1, 1]]]], [[3, 1, 5, 2, 1], [And(-
2^(1/2) < v,v < -1), u < v, And(-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], [
0, 0], [-4478937/524288, -8957873/1048576], [-4, -4]]]], [[3, 1, 5, 2, 2], [
And(-2^(1/2) < v,v < -1), u < v, And(-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], [0, 0], [-4478937/524288, -8957873/1048576], [-1532401/524288, -24518415/
8388608]]]], [[3, 1, 5, 2, 3], [And(-2^(1/2) < v,v < -1), u < v, And(-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], [0, 0], [-\
4478937/524288, -8957873/1048576], [-7/16777216, -7/16777216]]]], [[3, 1, 5, 2
, 4], [And(-2^(1/2) < v,v < -1), u < v, And(-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], [0, 0], [-4478937/524288, -8957873/1048576], [3064801/1048576, 
1532401/524288]]]], [[3, 1, 5, 2, 5], [And(-2^(1/2) < v,v < -1), u < v, And(-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], [0, 0], [-4478937/524288, -\
8957873/1048576], [4, 4]]]], [[4, 3, 7, 2, 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, 3, 7, 2, 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, 3, 7, 2, 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, 3, 7, 2, 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, 3, 7, 2, 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, 7, 5, 4, 1], [v = -1, 1 < u, And(-1 < x,x < 1), y = u^2+x, z < -u]
, [regular_chain, [[-1, -1], [2, 2], [0, 0], [4, 4], [-3, -3]]]], [[4, 7, 5, 4
, 2], [v = -1, 1 < u, And(-1 < x,x < 1), y = u^2+x, z = -u], [regular_chain, [
[-1, -1], [2, 2], [0, 0], [4, 4], [-2, -2]]]], [[4, 7, 5, 4, 3], [v = -1, 1 <
u, And(-1 < x,x < 1), y = u^2+x, And(-u < z,z < u)], [regular_chain, [[-1, -1]
, [2, 2], [0, 0], [4, 4], [0, 0]]]], [[4, 7, 5, 4, 4], [v = -1, 1 < u, And(-1
< x,x < 1), y = u^2+x, z = u], [regular_chain, [[-1, -1], [2, 2], [0, 0], [4,
4], [2, 2]]]], [[4, 7, 5, 4, 5], [v = -1, 1 < u, And(-1 < x,x < 1), y = u^2+x,
u < z], [regular_chain, [[-1, -1], [2, 2], [0, 0], [4, 4], [3, 3]]]], [[8, 3,
2, 2, 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, 3, 2, 2, 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, 3, 2, 2, 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, 3, 2, 2, 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, 3, 2, 2, 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, 6, 5, 4, 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, 5, 4, 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, 5, 4, 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, 5, 4, 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, 5, 4, 5], [
v = 1, u = 1, 1 < x, y = x+1, 1 < z], [regular_chain, [[1, 1], [1, 1], [2, 2],
[3, 3], [2, 2]]]], [[10, 9, 2, 3, 1], [v = 2^(1/2), And(1 < u,u < v), x = -1,
And(u^2-2 < y,y < -u^2+2), z < -(u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [0, 0]
, [-2, -2]]]], [[10, 9, 2, 3, 2], [v = 2^(1/2), And(1 < u,u < v), x = -1, And(
u^2-2 < y,y < -u^2+2), z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [0, 0], [-\
1417877/2097152, -354469/524288]]]], [[10, 9, 2, 3, 3], [v = 2^(1/2), And(1 <
u,u < v), x = -1, And(u^2-2 < y,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], [0, 0], [0, 0]]]], [[10, 9, 2, 3, 4], [v = 2^(1/
2), And(1 < u,u < v), x = -1, And(u^2-2 < y,y < -u^2+2), z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-1, -1], [0, 0], [354469/524288, 708939/1048576]]]], [[10, 9, 2, 3,
5], [v = 2^(1/2), And(1 < u,u < v), x = -1, And(u^2-2 < y,y < -u^2+2), (u^2-1)
^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-1, -1], [0, 0], [2, 2]]]], [[11, 1, 7, 5, 1], [2^
(1/2) < v, u < -v, 1 < x, u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-4, -4], [2, 2], [11, 11], [-4, -4]]]], [[11, 1, 7, 5
, 2], [2^(1/2) < v, u < -v, 1 < x, u^2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-4, -4], [2, 2], [11, 11], [-2965821/1048576, -\
11863283/4194304]]]], [[11, 1, 7, 5, 3], [2^(1/2) < v, u < -v, 1 < x, u^2-v^2+
x+1 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [
[3, 3], [-4, -4], [2, 2], [11, 11], [-3/8388608, -3/8388608]]]], [[11, 1, 7, 5
, 4], [2^(1/2) < v, u < -v, 1 < x, u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-4, -4], [2, 2], [11, 11], [741455/262144, 2965821/
1048576]]]], [[11, 1, 7, 5, 5], [2^(1/2) < v, u < -v, 1 < x, u^2-v^2+x+1 < y,
(u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-4, -4], [2, 2], [11, 11], [
4, 4]]]], [[1, 10, 3, 4, 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, 10, 3, 4, 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, 10
, 3, 4, 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]]]], [[2, 1, 2, 1, 1], [v = -2^(1/2), u < v, x = -u^2+1, y <
0, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
-3, -3], [-8, -8], [-1, -1], [-4, -4]]]], [[2, 1, 2, 1, 2], [v = -2^(1/2), u <
v, x = -u^2+1, y < 0, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-3, -3], [-8, -8], [-1, -1], [-2965821/1048576, -11863283/
4194304]]]], [[2, 1, 2, 1, 3], [v = -2^(1/2), 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], [-3, -3], [-8, -8], [-1, -1], [-3/8388608, -3/8388608]]]], [[2
, 1, 2, 1, 4], [v = -2^(1/2), u < v, x = -u^2+1, y < 0, z = (u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-8, -8], [-1, -\
1], [741455/262144, 2965821/1048576]]]], [[2, 1, 2, 1, 5], [v = -2^(1/2), u <
v, x = -u^2+1, y < 0, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-3, -3], [-8, -8], [-1, -1], [4, 4]]]], [[3, 5, 1, 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-x-1, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[0, 0], [-2, -2], [1288231/524288, 2576463/1048576], [0, 0]]]], [[3, 8, 5, 1,
1], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x, y < -1-x, z < -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [2, 2], [-4, -4], [-2, -2]]]], [[3, 8, 5, 1, 2], [And(-2^(1/
2) < v,v < -1), u = -v, 1 < x, y < -1-x, z = -1], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-4, -\
4], [-1, -1]]]], [[3, 8, 5, 1, 3], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x, y
< -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-4, -4], [0, 0]]]], [[3
, 8, 5, 1, 4], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x, y < -1-x, z = 1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [2, 2], [-4, -4], [1, 1]]]], [[3, 8, 5, 1, 5], [And(-2^(1/2)
< v,v < -1), u = -v, 1 < x, y < -1-x, 1 < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-4, -\
4], [2, 2]]]], [[5, 4, 2, 1, 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], [-1, -1], [-2, -2]
]]], [[5, 4, 2, 1, 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], [-1, -1], [-1, -1]]]], [[5
, 4, 2, 1, 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], [-1, -1], [0, 0]]]], [[5,
4, 2, 1, 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], [-1, -1], [1, 1]]]], [[5, 4, 2, 1, 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], [-1, -1], [2, 2]]]], [[6, 3, 2, 3, 1], [v = 0, 0 < u
, x = -u^2-1, 0 < y, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-2
, -2], [1, 1], [-3, -3]]]], [[6, 3, 2, 3, 2], [v = 0, 0 < u, x = -u^2-1, 0 < y
, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-2, -2], [1, 1], [-\
1482911/1048576, -741455/524288]]]], [[6, 3, 2, 3, 3], [v = 0, 0 < u, x = -u^2
-1, 0 < y, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0]
, [1, 1], [-2, -2], [1, 1], [0, 0]]]], [[6, 3, 2, 3, 4], [v = 0, 0 < u, x = -u
^2-1, 0 < y, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-2, -2], [1
, 1], [741455/524288, 1482911/1048576]]]], [[6, 3, 2, 3, 5], [v = 0, 0 < u, x
= -u^2-1, 0 < y, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [-2, -2]
, [1, 1], [3, 3]]]], [[9, 3, 4, 1, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u <
-(v^2-1)^(1/2)), x = -u^2+v^2-1, y < 0, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-450371/1048576, -225185/524288], [-1, -1], [-2, -2]]]], [[
9, 3, 4, 1, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -
u^2+v^2-1, y < 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -\
225185/524288], [-1, -1], [-1374407/2097152, -687203/1048576]]]], [[9, 3, 4, 1
, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1,
y < 0, And(-(u^2-v^2+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], [-1, -1], [0, 0]]]], [[9, 3, 4, 1, 4], [And(1
< v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y < 0, z = (
u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-450371/1048576, -225185/524288], [-1, -1
], [687203/1048576, 171801/262144]]]], [[9, 3, 4, 1, 5], [And(1 < v,v < 2^(1/2
)), And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y < 0, (u^2-v^2+1)^(1/2) <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-450371/1048576, -225185/524288], [-1, -1], [2, 2]]]], [[9,
6, 7, 3, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 1 < x, And(-x < y,y <
x), z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [2, 2], [0, 0], [-1, -1]]]], [[9, 6, 7, 3, 2], [And(1
< v,v < 2^(1/2)), u = (v^2-1)^(1/2), 1 < x, And(-x < y,y < x), z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [2, 2], [0, 0], [0, 0]]]], [[9, 6, 7, 3, 3], [And(1 < v,v < 2^(1/2))
, u = (v^2-1)^(1/2), 1 < x, And(-x < y,y < x), 0 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [2, 2], [0
, 0], [1, 1]]]], [[10, 1, 7, 4, 1], [v = 2^(1/2), u < -v, 1 < x, y = u^2+x-1,
z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -\
3], [2, 2], [10, 10], [-4, -4]]]], [[10, 1, 7, 4, 2], [v = 2^(1/2), u < -v, 1
< x, y = u^2+x-1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [2, 2], [10, 10], [-2965821/1048576, -11863283/
4194304]]]], [[10, 1, 7, 4, 3], [v = 2^(1/2), 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], [-3, -3], [2, 2], [10, 10], [-3/8388608, -3/8388608]]]], [[
10, 1, 7, 4, 4], [v = 2^(1/2), u < -v, 1 < x, y = u^2+x-1, z = (u^2-1)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [2, 2], [10, 10],
[741455/262144, 2965821/1048576]]]], [[10, 1, 7, 4, 5], [v = 2^(1/2), u < -v,
1 < x, y = u^2+x-1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [2, 2], [10, 10], [4, 4]]]], [[10, 5, 6, 1, 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], [-2, -2], [0, 0]]]], [[
11, 9, 7, 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, 13, 6, 1,
1], [2^(1/2) < v, v < u, x = 1, y < -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [4, 4], [1, 1], [-10, -10], [-4, -4]]]], [[11, 13, 6,
1, 2], [2^(1/2) < v, v < u, x = 1, y < -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [4, 4], [1, 1], [-10, -10], [-2965821/1048576, -\
11863283/4194304]]]], [[11, 13, 6, 1, 3], [2^(1/2) < v, v < 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], [4, 4], [1, 1], [-10, -10], [-3/8388608, -3/8388608]]]], [[11, 13, 6, 1
, 4], [2^(1/2) < v, v < u, x = 1, y < -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [4, 4], [1, 1], [-10, -10], [741455/262144, 2965821/
1048576]]]], [[11, 13, 6, 1, 5], [2^(1/2) < v, v < u, x = 1, y < -u^2+v^2-2, (
u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [4, 4], [1, 1], [-10, -10], [4
, 4]]]], [[1, 3, 1, 4, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 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], [-2, -2], [395145/262144, 1580581/1048576]
, [-2, -2]]]], [[1, 3, 1, 4, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)),
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], [-2, -2], [395145/262144, 1580581/
1048576], [-735979/1048576, -1471957/2097152]]]], [[1, 3, 1, 4, 3], [v < -2^(1
/2), And(v < u,u < -(v^2-1)^(1/2)), 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], [-2, -2], [395145/262144, 1580581/1048576], [-1/
4194304, -1/4194304]]]], [[1, 3, 1, 4, 4], [v < -2^(1/2), And(v < u,u < -(v^2-\
1)^(1/2)), 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], [-2, -2], [395145/262144, 
1580581/1048576], [367989/524288, 735979/1048576]]]], [[1, 3, 1, 4, 5], [v < -
2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 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], [
-2, -2], [395145/262144, 1580581/1048576], [2, 2]]]], [[1, 6, 5, 1, 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], [-2, -2], [0, 0]]]], [[2, 8,
7, 1, 1], [v = -2^(1/2), u = 1, 1 < x, y < -x, z < 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [2, 2], [-3, -3], [-1, -1]]]], [[2,
8, 7, 1, 2], [v = -2^(1/2), u = 1, 1 < x, y < -x, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [2, 2], [-3, -3], [0, 0]]]], [[2, 8,
7, 1, 3], [v = -2^(1/2), u = 1, 1 < x, y < -x, 0 < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [2, 2], [-3, -3], [1, 1]]]], [[3, 1,
5, 3, 1], [And(-2^(1/2) < v,v < -1), u < v, And(-1 < x,x < 1), And(-u^2+v^2-x-\
1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [0, 0], [0, 0], [-4, -4]]]], [[3, 1, 5,
3, 2], [And(-2^(1/2) < v,v < -1), u < v, And(-1 < x,x < 1), And(-u^2+v^2-x-1 <
y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [0, 0], [0, 0], [-1532401/524288, -\
24518415/8388608]]]], [[3, 1, 5, 3, 3], [And(-2^(1/2) < v,v < -1), u < v, And(
-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^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], [0, 0], [0, 0], [-7/16777216, -7/16777216]]]], [[3, 1, 5,
3, 4], [And(-2^(1/2) < v,v < -1), u < v, And(-1 < x,x < 1), And(-u^2+v^2-x-1 <
y,y < u^2-v^2+x+1), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-3, -3], [0, 0], [0, 0], [3064801/1048576, 1532401/
524288]]]], [[3, 1, 5, 3, 5], [And(-2^(1/2) < v,v < -1), u < v, And(-1 < x,x <
1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [0, 0], [0, 0]
, [4, 4]]]], [[4, 3, 7, 1, 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], [-4, -4], [-2, -2]]]]
, [[4, 3, 7, 1, 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], [-4, -4], [-1/2, -1/2]]]], [[4
, 3, 7, 1, 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], [-4, -4], [0, 0]]]], [[4,
3, 7, 1, 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], [-4, -4], [1/2, 1/2]]]], [[4,
3, 7, 1, 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], [-4, -4], [2, 2]]]], [[4, 7, 5
, 3, 1], [v = -1, 1 < u, And(-1 < x,x < 1), And(-u^2-x < y,y < u^2+x), z < -u]
, [regular_chain, [[-1, -1], [2, 2], [0, 0], [0, 0], [-3, -3]]]], [[4, 7, 5, 3
, 2], [v = -1, 1 < u, And(-1 < x,x < 1), And(-u^2-x < y,y < u^2+x), z = -u], [
regular_chain, [[-1, -1], [2, 2], [0, 0], [0, 0], [-2, -2]]]], [[4, 7, 5, 3, 3
], [v = -1, 1 < u, And(-1 < x,x < 1), And(-u^2-x < y,y < u^2+x), And(-u < z,z
< u)], [regular_chain, [[-1, -1], [2, 2], [0, 0], [0, 0], [0, 0]]]], [[4, 7, 5
, 3, 4], [v = -1, 1 < u, And(-1 < x,x < 1), And(-u^2-x < y,y < u^2+x), z = u],
[regular_chain, [[-1, -1], [2, 2], [0, 0], [0, 0], [2, 2]]]], [[4, 7, 5, 3, 5]
, [v = -1, 1 < u, And(-1 < x,x < 1), And(-u^2-x < y,y < u^2+x), u < z], [
regular_chain, [[-1, -1], [2, 2], [0, 0], [0, 0], [3, 3]]]], [[8, 3, 2, 3, 1],
[v = 1, And(-1 < u,u < 0), x = -1, And(u^2-1 < y,y < -u^2+1), z < u], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [0, 0], [-2, -2]]]], [[8, 3, 2
, 3, 2], [v = 1, And(-1 < u,u < 0), x = -1, And(u^2-1 < y,y < -u^2+1), z = u],
[regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [0, 0], [-1/2, -1/2]]]], [[8,
3, 2, 3, 3], [v = 1, And(-1 < u,u < 0), x = -1, And(u^2-1 < y,y < -u^2+1), And
(u < z,z < -u)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [0, 0], [0,
0]]]], [[8, 3, 2, 3, 4], [v = 1, And(-1 < u,u < 0), x = -1, And(u^2-1 < y,y <
-u^2+1), z = -u], [regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [0, 0], [1/
2, 1/2]]]], [[8, 3, 2, 3, 5], [v = 1, And(-1 < u,u < 0), x = -1, And(u^2-1 < y
,y < -u^2+1), -u < z], [regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [0, 0]
, [2, 2]]]], [[8, 6, 5, 5, 1], [v = 1, u = 1, 1 < x, x+1 < y, z < -1], [
regular_chain, [[1, 1], [1, 1], [2, 2], [4, 4], [-2, -2]]]], [[8, 6, 5, 5, 2],
[v = 1, u = 1, 1 < x, x+1 < y, z = -1], [regular_chain, [[1, 1], [1, 1], [2, 2
], [4, 4], [-1, -1]]]], [[8, 6, 5, 5, 3], [v = 1, u = 1, 1 < x, x+1 < y, And(-\
1 < z,z < 1)], [regular_chain, [[1, 1], [1, 1], [2, 2], [4, 4], [0, 0]]]], [[8
, 6, 5, 5, 4], [v = 1, u = 1, 1 < x, x+1 < y, z = 1], [regular_chain, [[1, 1],
[1, 1], [2, 2], [4, 4], [1, 1]]]], [[8, 6, 5, 5, 5], [v = 1, u = 1, 1 < x, x+1
< y, 1 < z], [regular_chain, [[1, 1], [1, 1], [2, 2], [4, 4], [2, 2]]]], [[10,
9, 2, 2, 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, 9, 2, 2, 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, 9, 2, 2, 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, 9, 2
, 2, 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, 9, 2, 2, 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, 1, 7, 4, 1], [2^(1/2) < v, u < -v, 1 < x, y
= u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [2,
2], [10, 10], [-4, -4]]]], [[11, 1, 7, 4, 2], [2^(1/2) < v, u < -v, 1 < x, y =
u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [2, 2
], [10, 10], [-2965821/1048576, -11863283/4194304]]]], [[11, 1, 7, 4, 3], [2^(
1/2) < v, 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], [-4, -4], [2, 2], [10, 10], [-3/
8388608, -3/8388608]]]], [[11, 1, 7, 4, 4], [2^(1/2) < v, u < -v, 1 < x, y = u
^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [2, 2],
[10, 10], [741455/262144, 2965821/1048576]]]], [[11, 1, 7, 4, 5], [2^(1/2) < v
, u < -v, 1 < x, y = u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3,
3], [-4, -4], [2, 2], [10, 10], [4, 4]]]], [[1, 10, 3, 3, 1], [v < -2^(1/2), u
= (v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < -x), z < 0], [regular_chain,
[[-3, -3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [0, 0], [-1, -1]]]]
, [[1, 10, 3, 3, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(
x < y,y < -x), z = 0], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [-1/2, -1/2], [0, 0], [0, 0]]]], [[1, 10, 3, 3, 3], [v < -2^(1/2), u
= (v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < -x), 0 < z], [regular_chain,
[[-3, -3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [0, 0], [1, 1]]]],
[[2, 1, 1, 5, 1], [v = -2^(1/2), u < v, x < -u^2+1, -u^2-x+1 < y, z < -(u^2-1)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9, -\
9], [2, 2], [-4, -4]]]], [[2, 1, 1, 5, 2], [v = -2^(1/2), u < v, x < -u^2+1, -
u^2-x+1 < y, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [-9, -9], [2, 2], [-2965821/1048576, -11863283/4194304]]]],
[[2, 1, 1, 5, 3], [v = -2^(1/2), u < v, x < -u^2+1, -u^2-x+1 < y, And(-(u^2-1)
^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [-9, -9], [2, 2], [-3/8388608, -3/8388608]]]], [[2, 1, 1, 5
, 4], [v = -2^(1/2), u < v, x < -u^2+1, -u^2-x+1 < y, z = (u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9, -9], [2, 2]
, [741455/262144, 2965821/1048576]]]], [[2, 1, 1, 5, 5], [v = -2^(1/2), u < v,
x < -u^2+1, -u^2-x+1 < y, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [-9, -9], [2, 2], [4, 4]]]], [[3, 5, 1, 5,
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-x-1 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [-2, -2], [4, 4], [0, 0]]]], [[3, 8, 5, 2, 1], [And(-2^(1/2)
< v,v < -1), u = -v, 1 < x, y = -1-x, z < -1], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-3, -\
3], [-2, -2]]]], [[3, 8, 5, 2, 2], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x, y
= -1-x, z = -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [2, 2], [-3, -3], [-1, -1]]]], [[3, 8, 5, 2
, 3], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x, y = -1-x, And(-1 < z,z < 1)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [2, 2], [-3, -3], [0, 0]]]], [[3, 8, 5, 2, 4], [And(-2^(1/2)
< v,v < -1), u = -v, 1 < x, y = -1-x, z = 1], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-3, -\
3], [1, 1]]]], [[3, 8, 5, 2, 5], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x, y =
-1-x, 1 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/
1048576, 1265743/1048576], [2, 2], [-3, -3], [2, 2]]]], [[5, 4, 1, 5, 1], [And
(-1 < v,v < 0), u = -v, x < -1, -1-x < y, z < -1], [regular_chain, [[-1/2, -1/
2], [1/2, 1/2], [-2, -2], [2, 2], [-2, -2]]]], [[5, 4, 1, 5, 2], [And(-1 < v,v
< 0), u = -v, x < -1, -1-x < y, z = -1], [regular_chain, [[-1/2, -1/2], [1/2,
1/2], [-2, -2], [2, 2], [-1, -1]]]], [[5, 4, 1, 5, 3], [And(-1 < v,v < 0), u =
-v, x < -1, -1-x < y, And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/2], [1/2,
1/2], [-2, -2], [2, 2], [0, 0]]]], [[5, 4, 1, 5, 4], [And(-1 < v,v < 0), u = -
v, x < -1, -1-x < y, z = 1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -\
2], [2, 2], [1, 1]]]], [[5, 4, 1, 5, 5], [And(-1 < v,v < 0), u = -v, x < -1, -\
1-x < y, 1 < z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [2, 2],
[2, 2]]]], [[6, 3, 2, 2, 1], [v = 0, 0 < u, x = -u^2-1, y = 0, z < -(u^2+1)^(1
/2)], [regular_chain, [[0, 0], [1, 1], [-2, -2], [0, 0], [-3, -3]]]], [[6, 3,
2, 2, 2], [v = 0, 0 < u, x = -u^2-1, y = 0, z = -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-2, -2], [0, 0], [-1482911/1048576, -741455/
524288]]]], [[6, 3, 2, 2, 3], [v = 0, 0 < u, x = -u^2-1, y = 0, And(-(u^2+1)^(
1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [1, 1], [-2, -2], [0, 0
], [0, 0]]]], [[6, 3, 2, 2, 4], [v = 0, 0 < u, x = -u^2-1, y = 0, z = (u^2+1)^
(1/2)], [regular_chain, [[0, 0], [1, 1], [-2, -2], [0, 0], [741455/524288, 
1482911/1048576]]]], [[6, 3, 2, 2, 5], [v = 0, 0 < u, x = -u^2-1, y = 0, (u^2+
1)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [-2, -2], [0, 0], [3, 3]]]], [
[9, 3, 4, 2, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x =
-u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -\
225185/524288], [0, 0], [-2, -2]]]], [[9, 3, 4, 2, 2], [And(1 < v,v < 2^(1/2))
, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-450371/1048576, -225185/524288], [0, 0], [-1374407/2097152
, -687203/1048576]]]], [[9, 3, 4, 2, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u
< -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-
v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363
/4194304, -3949363/4194304], [-450371/1048576, -225185/524288], [0, 0], [0, 0]
]]], [[9, 3, 4, 2, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2))
, x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-450371/
1048576, -225185/524288], [0, 0], [687203/1048576, 171801/262144]]]], [[9, 3,
4, 2, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^
2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -225185/
524288], [0, 0], [2, 2]]]], [[9, 6, 7, 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, 6
, 7, 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, 6, 7, 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]]]],
[[10, 1, 7, 3, 1], [v = 2^(1/2), u < -v, 1 < x, And(-u^2-x+1 < y,y < u^2+x-1),
z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -\
3], [2, 2], [0, 0], [-4, -4]]]], [[10, 1, 7, 3, 2], [v = 2^(1/2), u < -v, 1 <
x, And(-u^2-x+1 < y,y < u^2+x-1), z = -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [2, 2], [0, 0], [-2965821/1048576,
-11863283/4194304]]]], [[10, 1, 7, 3, 3], [v = 2^(1/2), u < -v, 1 < x, And(-u^
2-x+1 < y,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], [2, 2], [0, 0], [-\
3/8388608, -3/8388608]]]], [[10, 1, 7, 3, 4], [v = 2^(1/2), u < -v, 1 < x, And
(-u^2-x+1 < y,y < u^2+x-1), z = (u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [2, 2], [0, 0], [741455/262144, 2965821/
1048576]]]], [[10, 1, 7, 3, 5], [v = 2^(1/2), u < -v, 1 < x, And(-u^2-x+1 < y,
y < u^2+x-1), (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [2, 2], [0, 0], [4, 4]]]], [[10, 5, 5, 5, 1], [v = 2^(1/2)
, And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), u^2+x-1 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [7/8, 7/8], [2
, 2], [0, 0]]]], [[11, 9, 7, 5, 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 = z], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [2, 2], [3, 3], [0, 0]]]], [[11, 13, 6, 2, 1]
, [2^(1/2) < v, v < u, x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [4, 4], [1, 1], [-9, -9], [-4, -4]]]], [[11, 13, 6, 2,
2], [2^(1/2) < v, v < u, x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [4, 4], [1, 1], [-9, -9], [-2965821/1048576, -11863283
/4194304]]]], [[11, 13, 6, 2, 3], [2^(1/2) < v, v < 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], [
4, 4], [1, 1], [-9, -9], [-3/8388608, -3/8388608]]]], [[11, 13, 6, 2, 4], [2^(
1/2) < v, v < u, x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [regular_chain
, [[3, 3], [4, 4], [1, 1], [-9, -9], [741455/262144, 2965821/1048576]]]], [[11
, 13, 6, 2, 5], [2^(1/2) < v, v < u, x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2)
< z], [regular_chain, [[3, 3], [4, 4], [1, 1], [-9, -9], [4, 4]]]], [[1, 10, 5
, 2, 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, 10, 5, 2, 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, 10, 5, 2, 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]]]], [[
2, 1, 2, 3, 1], [v = -2^(1/2), u < v, x = -u^2+1, 0 < y, z < -(u^2-1)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-8, -8], [1, 1
], [-4, -4]]]], [[2, 1, 2, 3, 2], [v = -2^(1/2), u < v, x = -u^2+1, 0 < y, z =
-(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3]
, [-8, -8], [1, 1], [-2965821/1048576, -11863283/4194304]]]], [[2, 1, 2, 3, 3]
, [v = -2^(1/2), u < v, x = -u^2+1, 0 < y, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^
(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-8, -\
8], [1, 1], [-3/8388608, -3/8388608]]]], [[2, 1, 2, 3, 4], [v = -2^(1/2), u <
v, x = -u^2+1, 0 < y, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-3, -3], [-8, -8], [1, 1], [741455/262144, 2965821/1048576]]
]], [[2, 1, 2, 3, 5], [v = -2^(1/2), u < v, x = -u^2+1, 0 < y, (u^2-1)^(1/2) <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-8, -8], [
1, 1], [4, 4]]]], [[3, 5, 2, 5, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1
/2) < u,u < (v^2-1)^(1/2)), x = -1, -u^2+v^2 < y, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [3, 3], [0, 0]]]], [[3,
8, 5, 3, 1], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x, And(-1-x < y,y < x+1),
z < -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/
1048576, 1265743/1048576], [2, 2], [0, 0], [-2, -2]]]], [[3, 8, 5, 3, 2], [And
(-2^(1/2) < v,v < -1), u = -v, 1 < x, And(-1-x < y,y < x+1), z = -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [2, 2], [0, 0], [-1, -1]]]], [[3, 8, 5, 3, 3], [And(-2^(1/2)
< v,v < -1), u = -v, 1 < x, And(-1-x < y,y < x+1), And(-1 < z,z < 1)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [2, 2], [0, 0], [0, 0]]]], [[3, 8, 5, 3, 4], [And(-2^(1/2) <
v,v < -1), u = -v, 1 < x, And(-1-x < y,y < x+1), z = 1], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2]
, [0, 0], [1, 1]]]], [[3, 8, 5, 3, 5], [And(-2^(1/2) < v,v < -1), u = -v, 1 <
x, And(-1-x < y,y < x+1), 1 < z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [0, 0], [2, 2]]]], [[5,
4, 3, 4, 1], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 1), y = x+1, z < -1],
[regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [1, 1], [-2, -2]]]], [[5, 4
, 3, 4, 2], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 1), y = x+1, z = -1], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [1, 1], [-1, -1]]]], [[5, 4,
3, 4, 3], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 1), y = x+1, And(-1 < z,z
< 1)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [1, 1], [0, 0]]]], [
[5, 4, 3, 4, 4], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 1), y = x+1, z = 1
], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [1, 1], [1, 1]]]], [[5,
4, 3, 4, 5], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 1), y = x+1, 1 < z], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [1, 1], [2, 2]]]], [[6, 3, 3
, 2, 1], [v = 0, 0 < u, And(-u^2-1 < x,x < -1), y = -u^2-x-1, z < -(u^2+1)^(1/
2)], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [-1/2, -1/2], [-3, -3]]]],
[[6, 3, 3, 2, 2], [v = 0, 0 < u, And(-u^2-1 < x,x < -1), y = -u^2-x-1, z = -(u
^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [-1/2, -1/2], [-\
1482911/1048576, -741455/524288]]]], [[6, 3, 3, 2, 3], [v = 0, 0 < 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], [1, 1], [-3/2, -3/2], [-1/2, -1/2], [0, 0]]]], [[6, 3,
3, 2, 4], [v = 0, 0 < u, And(-u^2-1 < x,x < -1), y = -u^2-x-1, z = (u^2+1)^(1/
2)], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [-1/2, -1/2], [741455/
524288, 1482911/1048576]]]], [[6, 3, 3, 2, 5], [v = 0, 0 < u, And(-u^2-1 < x,x
< -1), y = -u^2-x-1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [-3/
2, -3/2], [-1/2, -1/2], [3, 3]]]], [[9, 3, 5, 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], [299103/1048576, 299103/1048576], [749473/
1048576, 374737/524288], [-2, -2]]]], [[9, 3, 5, 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], [299103/1048576, 299103/1048576], [
749473/1048576, 374737/524288], [-1374407/2097152, -687203/1048576]]]], [[9, 3
, 5, 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], [299103/1048576, 299103/1048576], [749473/1048576,
374737/524288], [0, 0]]]], [[9, 3, 5, 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], [299103/1048576, 299103/1048576], [749473/1048576,
374737/524288], [687203/1048576, 171801/262144]]]], [[9, 3, 5, 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], [299103/1048576, 
299103/1048576], [749473/1048576, 374737/524288], [2, 2]]]], [[9, 6, 7, 5, 1],
[And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 1 < x, x < y, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [2, 2], [3, 3], [-1, -1]]]], [[9, 6, 7, 5, 2], [And(1 < v,v < 2^(1/2
)), u = (v^2-1)^(1/2), 1 < x, x < y, z = 0], [regular_chain, [[1265743/1048576
, 1265743/1048576], [354469/524288, 708939/1048576], [2, 2], [3, 3], [0, 0]]]]
, [[9, 6, 7, 5, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 1 < x, x < y,
0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 
708939/1048576], [2, 2], [3, 3], [1, 1]]]], [[10, 1, 7, 2, 1], [v = 2^(1/2), u
< -v, 1 < x, y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [2, 2], [-10, -10], [-4, -4]]]], [[10, 1,
7, 2, 2], [v = 2^(1/2), u < -v, 1 < x, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [2, 2], [-10, -10]
, [-2965821/1048576, -11863283/4194304]]]], [[10, 1, 7, 2, 3], [v = 2^(1/2), 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], [-3, -3], [2, 2], [-10, -10]
, [-3/8388608, -3/8388608]]]], [[10, 1, 7, 2, 4], [v = 2^(1/2), u < -v, 1 < x,
y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [2, 2], [-10, -10], [741455/262144, 2965821/1048576]]]], [
[10, 1, 7, 2, 5], [v = 2^(1/2), u < -v, 1 < x, y = -u^2-x+1, (u^2-1)^(1/2) < z
], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [2, 2], [-10,
-10], [4, 4]]]], [[10, 5, 4, 3, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = -u^2+
1, 0 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1
/2], [3/4, 3/4], [1, 1], [0, 0]]]], [[11, 9, 7, 2, 1], [2^(1/2) < v, And((v^2-\
2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = z], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [2, 2], [-391029/
262144, -1564115/1048576], [0, 0]]]], [[11, 13, 4, 5, 1], [2^(1/2) < v, v < u,
x = -1, u^2-v^2 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4],
[-1, -1], [8, 8], [-4, -4]]]], [[11, 13, 4, 5, 2], [2^(1/2) < v, v < u, x = -1
, u^2-v^2 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [-1,
-1], [8, 8], [-2965821/1048576, -11863283/4194304]]]], [[11, 13, 4, 5, 3], [2^
(1/2) < v, v < u, x = -1, u^2-v^2 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2
+1)^(1/2))], [regular_chain, [[3, 3], [4, 4], [-1, -1], [8, 8], [-3/8388608, -\
3/8388608]]]], [[11, 13, 4, 5, 4], [2^(1/2) < v, v < u, x = -1, u^2-v^2 < y, z
= (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [-1, -1], [8, 8], [
741455/262144, 2965821/1048576]]]], [[11, 13, 4, 5, 5], [2^(1/2) < v, v < u, x
= -1, u^2-v^2 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [4, 4], [-\
1, -1], [8, 8], [4, 4]]]], [[1, 3, 1, 3, 1], [v < -2^(1/2), And(v < u,u < -(v^
2-1)^(1/2)), x < -1, And(u^2-v^2+x+1 < y,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], [0, 0], [-2, -2]]]], [[1, 3, 1, 3, 2], [v < -2^(1/2), And(v < u,u < -(v^2-\
1)^(1/2)), x < -1, And(u^2-v^2+x+1 < y,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]
, [0, 0], [-735979/1048576, -1471957/2097152]]]], [[1, 3, 1, 3, 3], [v < -2^(1
/2), And(v < u,u < -(v^2-1)^(1/2)), x < -1, And(u^2-v^2+x+1 < y,y < -u^2+v^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], [0, 0], [-1/4194304, -1/
4194304]]]], [[1, 3, 1, 3, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x
< -1, And(u^2-v^2+x+1 < y,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], [0,
0], [367989/524288, 735979/1048576]]]], [[1, 3, 1, 3, 5], [v < -2^(1/2), And(v
< u,u < -(v^2-1)^(1/2)), x < -1, And(u^2-v^2+x+1 < y,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], [0, 0], [2, 2]]]], [[1, 6, 3, 4, 1], [v < -2^(1/2), u = -(
v^2-2)^(1/2), And(-1 < x,x < 1), y = -x+1, z = z], [regular_chain, [[-3, -3],
[-5548543/2097152, -2774271/1048576], [0, 0], [1, 1], [0, 0]]]], [[2, 8, 6, 3,
1], [v = -2^(1/2), u = 1, x = 1, And(-1 < y,y < 1), z < 0], [regular_chain, [[
-1482911/1048576, -741455/524288], [1, 1], [1, 1], [0, 0], [-1, -1]]]], [[2, 8
, 6, 3, 2], [v = -2^(1/2), u = 1, x = 1, And(-1 < y,y < 1), z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [1, 1], [0, 0], [0
, 0]]]], [[2, 8, 6, 3, 3], [v = -2^(1/2), u = 1, x = 1, And(-1 < y,y < 1), 0 <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [1, 1], [0, 0
], [1, 1]]]], [[3, 1, 4, 1, 1], [And(-2^(1/2) < v,v < -1), u < v, 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], [-9, -9], [-4, -4]]]], [[3, 1, 4, 1, 2],
[And(-2^(1/2) < v,v < -1), u < v, 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],
[-9, -9], [-1532401/524288, -24518415/8388608]]]], [[3, 1, 4, 1, 3], [And(-2^(
1/2) < v,v < -1), 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], [-\
3, -3], [-1, -1], [-9, -9], [-7/16777216, -7/16777216]]]], [[3, 1, 4, 1, 4], [
And(-2^(1/2) < v,v < -1), u < v, 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], [-9
, -9], [3064801/1048576, 1532401/524288]]]], [[3, 1, 4, 1, 5], [And(-2^(1/2) <
v,v < -1), u < v, 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], [-9, -9], [4, 4]]
]], [[4, 3, 6, 5, 1], [v = -1, And(-1 < u,u < 0), x = 1, u^2+1 < y, z < u], [
regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [3, 3], [-2, -2]]]], [[4, 3, 6
, 5, 2], [v = -1, And(-1 < u,u < 0), x = 1, u^2+1 < y, z = u], [regular_chain,
[[-1, -1], [-1/2, -1/2], [1, 1], [3, 3], [-1/2, -1/2]]]], [[4, 3, 6, 5, 3], [v
= -1, And(-1 < u,u < 0), x = 1, u^2+1 < y, And(u < z,z < -u)], [regular_chain,
[[-1, -1], [-1/2, -1/2], [1, 1], [3, 3], [0, 0]]]], [[4, 3, 6, 5, 4], [v = -1,
And(-1 < u,u < 0), x = 1, u^2+1 < y, z = -u], [regular_chain, [[-1, -1], [-1/2
, -1/2], [1, 1], [3, 3], [1/2, 1/2]]]], [[4, 3, 6, 5, 5], [v = -1, And(-1 < u,
u < 0), x = 1, u^2+1 < y, -u < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [1
, 1], [3, 3], [2, 2]]]], [[4, 7, 4, 3, 1], [v = -1, 1 < u, x = -1, And(-u^2+1
< y,y < u^2-1), z < -u], [regular_chain, [[-1, -1], [2, 2], [-1, -1], [0, 0],
[-3, -3]]]], [[4, 7, 4, 3, 2], [v = -1, 1 < u, x = -1, And(-u^2+1 < y,y < u^2-\
1), z = -u], [regular_chain, [[-1, -1], [2, 2], [-1, -1], [0, 0], [-2, -2]]]],
[[4, 7, 4, 3, 3], [v = -1, 1 < u, x = -1, And(-u^2+1 < y,y < u^2-1), And(-u <
z,z < u)], [regular_chain, [[-1, -1], [2, 2], [-1, -1], [0, 0], [0, 0]]]], [[4
, 7, 4, 3, 4], [v = -1, 1 < u, x = -1, And(-u^2+1 < y,y < u^2-1), z = u], [
regular_chain, [[-1, -1], [2, 2], [-1, -1], [0, 0], [2, 2]]]], [[4, 7, 4, 3, 5
], [v = -1, 1 < u, x = -1, And(-u^2+1 < y,y < u^2-1), u < z], [regular_chain,
[[-1, -1], [2, 2], [-1, -1], [0, 0], [3, 3]]]], [[8, 3, 1, 5, 1], [v = 1, And(
-1 < u,u < 0), x < -1, -u^2-x < y, z < u], [regular_chain, [[1, 1], [-1/2, -1/
2], [-2, -2], [3, 3], [-2, -2]]]], [[8, 3, 1, 5, 2], [v = 1, And(-1 < u,u < 0)
, x < -1, -u^2-x < y, z = u], [regular_chain, [[1, 1], [-1/2, -1/2], [-2, -2],
[3, 3], [-1/2, -1/2]]]], [[8, 3, 1, 5, 3], [v = 1, And(-1 < u,u < 0), x < -1,
-u^2-x < y, And(u < z,z < -u)], [regular_chain, [[1, 1], [-1/2, -1/2], [-2, -2
], [3, 3], [0, 0]]]], [[8, 3, 1, 5, 4], [v = 1, And(-1 < u,u < 0), x < -1, -u^
2-x < y, z = -u], [regular_chain, [[1, 1], [-1/2, -1/2], [-2, -2], [3, 3], [1/
2, 1/2]]]], [[8, 3, 1, 5, 5], [v = 1, And(-1 < u,u < 0), x < -1, -u^2-x < y, -
u < z], [regular_chain, [[1, 1], [-1/2, -1/2], [-2, -2], [3, 3], [2, 2]]]], [[
8, 6, 4, 3, 1], [v = 1, u = 1, x = 1, And(-2 < y,y < 2), z < -1], [
regular_chain, [[1, 1], [1, 1], [1, 1], [0, 0], [-2, -2]]]], [[8, 6, 4, 3, 2],
[v = 1, u = 1, x = 1, And(-2 < y,y < 2), z = -1], [regular_chain, [[1, 1], [1,
1], [1, 1], [0, 0], [-1, -1]]]], [[8, 6, 4, 3, 3], [v = 1, u = 1, x = 1, And(-\
2 < y,y < 2), And(-1 < z,z < 1)], [regular_chain, [[1, 1], [1, 1], [1, 1], [0,
0], [0, 0]]]], [[8, 6, 4, 3, 4], [v = 1, u = 1, x = 1, And(-2 < y,y < 2), z =
1], [regular_chain, [[1, 1], [1, 1], [1, 1], [0, 0], [1, 1]]]], [[8, 6, 4, 3,
5], [v = 1, u = 1, x = 1, And(-2 < y,y < 2), 1 < z], [regular_chain, [[1, 1],
[1, 1], [1, 1], [0, 0], [2, 2]]]], [[10, 9, 3, 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], [35579/131072, 284633/1048576]
, [-2, -2]]]], [[10, 9, 3, 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], [35579/131072, 284633/1048576], [-1417877/2097152, -354469/
524288]]]], [[10, 9, 3, 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], [35579/131072, 284633/1048576]
, [0, 0]]]], [[10, 9, 3, 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], [35579/131072, 284633/1048576], [354469/524288, 708939/
1048576]]]], [[10, 9, 3, 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], [35579/131072, 284633/1048576], [2, 2]]]], [[11, 2, 1, 2, 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, 2, 1, 2, 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, 2, 1, 2, 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, 2, 1, 2, 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, 2, 1, 2
, 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]]]], [[1, 10, 5, 1, 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], [-2, -2], [-1, -1]]]], [[1, 10, 5
, 1, 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], [-2, -\
2], [0, 0]]]], [[1, 10, 5, 1, 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], [-2, -2], [1, 1]]]], [[2, 1, 2, 2, 1], [v = -2^(1/2), u
< v, x = -u^2+1, y = 0, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [-8, -8], [0, 0], [-4, -4]]]], [[2, 1, 2,
2, 2], [v = -2^(1/2), u < v, x = -u^2+1, y = 0, z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-8, -8], [0, 0]
, [-2965821/1048576, -11863283/4194304]]]], [[2, 1, 2, 2, 3], [v = -2^(1/2), u
< 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], [-3, -3], [-8, -8], [0, 0]
, [-3/8388608, -3/8388608]]]], [[2, 1, 2, 2, 4], [v = -2^(1/2), u < v, x = -u^
2+1, y = 0, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [-8, -8], [0, 0], [741455/262144, 2965821/1048576]]]], [[2,
1, 2, 2, 5], [v = -2^(1/2), u < v, 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, 5, 3, 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 < -u^2+v^2-1), y < u^2-v^2+x+1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-284633/1048576
, -284633/1048576], [-2, -2], [0, 0]]]], [[3, 8, 5, 4, 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, 8, 5, 4, 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, 8, 5, 4, 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, 8, 5, 4, 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, 8, 5, 4, 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]]]], [[5, 4, 3, 3, 1], [And(-1 < v,v < 0), u = -v, And(-1 <
x,x < 1), And(-1-x < y,y < x+1), z < -1], [regular_chain, [[-1/2, -1/2], [1/2,
1/2], [0, 0], [0, 0], [-2, -2]]]], [[5, 4, 3, 3, 2], [And(-1 < v,v < 0), u = -
v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z = -1], [regular_chain, [[-1/2,
-1/2], [1/2, 1/2], [0, 0], [0, 0], [-1, -1]]]], [[5, 4, 3, 3, 3], [And(-1 < v,
v < 0), u = -v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), And(-1 < z,z < 1)],
[regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [0, 0], [0, 0]]]], [[5, 4,
3, 3, 4], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 1), And(-1-x < y,y < x+1)
, z = 1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [0, 0], [1, 1]]]]
, [[5, 4, 3, 3, 5], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 1), And(-1-x <
y,y < x+1), 1 < z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [0, 0],
[2, 2]]]], [[6, 3, 3, 1, 1], [v = 0, 0 < u, And(-u^2-1 < x,x < -1), y < -u^2-x
-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [-2, -\
2], [-3, -3]]]], [[6, 3, 3, 1, 2], [v = 0, 0 < u, And(-u^2-1 < x,x < -1), y <
-u^2-x-1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2],
[-2, -2], [-1482911/1048576, -741455/524288]]]], [[6, 3, 3, 1, 3], [v = 0, 0 <
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], [1, 1], [-3/2, -3/2], [-2, -2], [0, 0]]]], [[6
, 3, 3, 1, 4], [v = 0, 0 < u, And(-u^2-1 < x,x < -1), y < -u^2-x-1, z = (u^2+1
)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [-2, -2], [741455/
524288, 1482911/1048576]]]], [[6, 3, 3, 1, 5], [v = 0, 0 < u, And(-u^2-1 < x,x
< -1), y < -u^2-x-1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [-3/
2, -3/2], [-2, -2], [3, 3]]]], [[9, 3, 5, 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), u^2-v^2+x+1 < y, z < -(
u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [299103/1048576, 299103/1048576], [2, 2],
[-2, -2]]]], [[9, 3, 5, 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), u^2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [299103/1048576, 299103/1048576], [2, 2], [-1374407/2097152,
-687203/1048576]]]], [[9, 3, 5, 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), u^2-v^2+x+1 < y, 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], [299103/1048576, 299103/
1048576], [2, 2], [0, 0]]]], [[9, 3, 5, 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), u^2-v^2+x+1 < y, z = (u^2-
v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [299103/1048576, 299103/1048576], [2, 2], [687203/
1048576, 171801/262144]]]], [[9, 3, 5, 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), u^2-v^2+x+1 < y, (u^2-v^2+
1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [299103/1048576, 299103/1048576], [2, 2], [2, 2]]]
], [[9, 7, 1, 1, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x
< -1, y < u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-2, -2], [-3, -3
], [-2, -2]]]], [[9, 7, 1, 1, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) <
u,u < v), x < -1, y < u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-2, -2],
[-3, -3], [-1374407/2097152, -687203/1048576]]]], [[9, 7, 1, 1, 3], [And(1 < v
,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < -1, y < u^2-v^2+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], [-3, -3], [0, 0]
]]], [[9, 7, 1, 1, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v),
x < -1, y < u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-2, -2], [-3, -3
], [687203/1048576, 171801/262144]]]], [[9, 7, 1, 1, 5], [And(1 < v,v < 2^(1/2
)), And((v^2-1)^(1/2) < u,u < v), x < -1, y < u^2-v^2+x+1, (u^2-v^2+1)^(1/2) <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [-2, -2], [-3, -3], [2, 2]]]], [[10, 1, 7, 1, 1], [v = 2^(1/2
), u < -v, 1 < x, y < -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [2, 2], [-11, -11], [-4, -4]]]], [[10, 1,
7, 1, 2], [v = 2^(1/2), u < -v, 1 < x, y < -u^2-x+1, z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [2, 2], [-11, -11]
, [-2965821/1048576, -11863283/4194304]]]], [[10, 1, 7, 1, 3], [v = 2^(1/2), 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], [-3, -3], [2, 2], [-11, -11]
, [-3/8388608, -3/8388608]]]], [[10, 1, 7, 1, 4], [v = 2^(1/2), u < -v, 1 < x,
y < -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [2, 2], [-11, -11], [741455/262144, 2965821/1048576]]]], [
[10, 1, 7, 1, 5], [v = 2^(1/2), u < -v, 1 < x, y < -u^2-x+1, (u^2-1)^(1/2) < z
], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [2, 2], [-11,
-11], [4, 4]]]], [[10, 5, 4, 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]]]], [[11, 9, 7, 3, 1], [2^(1/2) < v, And((v^2-\
2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1),
z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [2, 2], [0,
0], [0, 0]]]], [[11, 13, 5, 1, 1], [2^(1/2) < v, v < u, And(-1 < x,x < 1), y <
-u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [0, 0]
, [-9, -9], [-4, -4]]]], [[11, 13, 5, 1, 2], [2^(1/2) < v, v < u, And(-1 < x,x
< 1), y < -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4,
4], [0, 0], [-9, -9], [-2965821/1048576, -11863283/4194304]]]], [[11, 13, 5, 1
, 3], [2^(1/2) < v, v < u, And(-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], [4, 4], [0, 0],
[-9, -9], [-3/8388608, -3/8388608]]]], [[11, 13, 5, 1, 4], [2^(1/2) < v, v < u
, And(-1 < x,x < 1), y < -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain,
[[3, 3], [4, 4], [0, 0], [-9, -9], [741455/262144, 2965821/1048576]]]], [[11,
13, 5, 1, 5], [2^(1/2) < v, v < u, And(-1 < x,x < 1), y < -u^2+v^2-x-1, (u^2-v
^2+1)^(1/2) < z], [regular_chain, [[3, 3], [4, 4], [0, 0], [-9, -9], [4, 4]]]]
, [[1, 3, 1, 2, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 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], [-2, -2], [-3161161/2097152, -395145/262144], [-2,
-2]]]], [[1, 3, 1, 2, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 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], [-2, -2], [-3161161/2097152, -395145/
262144], [-735979/1048576, -1471957/2097152]]]], [[1, 3, 1, 2, 3], [v < -2^(1/
2), And(v < u,u < -(v^2-1)^(1/2)), 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], [-2, -2], [-3161161/2097152, -395145/262144], [-1/4194304
, -1/4194304]]]], [[1, 3, 1, 2, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2
)), 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], [-2, -2], [-3161161/2097152, -395145/
262144], [367989/524288, 735979/1048576]]]], [[1, 3, 1, 2, 5], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), 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], [-2, -2], [
-3161161/2097152, -395145/262144], [2, 2]]]], [[1, 6, 3, 3, 1], [v < -2^(1/2),
u = -(v^2-2)^(1/2), And(-1 < x,x < 1), And(x-1 < y,y < -x+1), z = z], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [0, 0], [0, 0]
, [0, 0]]]], [[2, 8, 6, 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, 6, 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, 6, 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]]]], [[3, 1, 4, 2, 1], [And(-2^(1/2) < v,v < -1), u < v, x = -1, y = -u^2+
v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [-1, -1], [-15818595/2097152, -7909297/1048576], [-4, -4]]
]], [[3, 1, 4, 2, 2], [And(-2^(1/2) < v,v < -1), u < v, x = -1, y = -u^2+v^2,
z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-3, -3], [-1, -1], [-15818595/2097152, -7909297/1048576], [-1532401/524288,
-24518415/8388608]]]], [[3, 1, 4, 2, 3], [And(-2^(1/2) < v,v < -1), u < v, x =
-1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [-\
15818595/2097152, -7909297/1048576], [-7/16777216, -7/16777216]]]], [[3, 1, 4,
2, 4], [And(-2^(1/2) < v,v < -1), u < v, x = -1, y = -u^2+v^2, z = (u^2-v^2+1)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1,
-1], [-15818595/2097152, -7909297/1048576], [3064801/1048576, 1532401/524288]]
]], [[3, 1, 4, 2, 5], [And(-2^(1/2) < v,v < -1), u < v, x = -1, y = -u^2+v^2,
(u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-3, -3], [-1, -1], [-15818595/2097152, -7909297/1048576], [4, 4]]]], [[4, 3,
6, 4, 1], [v = -1, And(-1 < u,u < 0), x = 1, y = u^2+1, z < u], [regular_chain
, [[-1, -1], [-1/2, -1/2], [1, 1], [5/4, 5/4], [-2, -2]]]], [[4, 3, 6, 4, 2],
[v = -1, And(-1 < u,u < 0), x = 1, y = u^2+1, z = u], [regular_chain, [[-1, -1
], [-1/2, -1/2], [1, 1], [5/4, 5/4], [-1/2, -1/2]]]], [[4, 3, 6, 4, 3], [v = -\
1, And(-1 < u,u < 0), x = 1, y = u^2+1, And(u < z,z < -u)], [regular_chain, [[
-1, -1], [-1/2, -1/2], [1, 1], [5/4, 5/4], [0, 0]]]], [[4, 3, 6, 4, 4], [v = -\
1, And(-1 < u,u < 0), x = 1, y = u^2+1, z = -u], [regular_chain, [[-1, -1], [-\
1/2, -1/2], [1, 1], [5/4, 5/4], [1/2, 1/2]]]], [[4, 3, 6, 4, 5], [v = -1, And(
-1 < u,u < 0), x = 1, y = u^2+1, -u < z], [regular_chain, [[-1, -1], [-1/2, -1
/2], [1, 1], [5/4, 5/4], [2, 2]]]], [[4, 7, 4, 2, 1], [v = -1, 1 < u, x = -1,
y = -u^2+1, z < -u], [regular_chain, [[-1, -1], [2, 2], [-1, -1], [-3, -3], [-\
3, -3]]]], [[4, 7, 4, 2, 2], [v = -1, 1 < u, x = -1, y = -u^2+1, z = -u], [
regular_chain, [[-1, -1], [2, 2], [-1, -1], [-3, -3], [-2, -2]]]], [[4, 7, 4,
2, 3], [v = -1, 1 < u, x = -1, y = -u^2+1, And(-u < z,z < u)], [regular_chain,
[[-1, -1], [2, 2], [-1, -1], [-3, -3], [0, 0]]]], [[4, 7, 4, 2, 4], [v = -1, 1
< u, x = -1, y = -u^2+1, z = u], [regular_chain, [[-1, -1], [2, 2], [-1, -1],
[-3, -3], [2, 2]]]], [[4, 7, 4, 2, 5], [v = -1, 1 < u, x = -1, y = -u^2+1, u <
z], [regular_chain, [[-1, -1], [2, 2], [-1, -1], [-3, -3], [3, 3]]]], [[8, 3,
2, 1, 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], [-2, -2], [-2, -2]]]], [[8, 3, 2, 1, 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], [-2, -2], [-1/2, -1/2]]]], [[8, 3, 2, 1, 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], [-2, -2], [0, 0]]]], [[8, 3, 2, 1, 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], [-2, -2], [1/2, 1/2]]]], [[8, 3, 2, 1, 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
], [-2, -2], [2, 2]]]], [[8, 6, 4, 4, 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, 4, 4,
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, 4, 4, 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, 4, 4, 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, 4, 4, 5], [v = 1, u = 1, x = 1, y = 2,
1 < z], [regular_chain, [[1, 1], [1, 1], [1, 1], [2, 2], [2, 2]]]], [[10, 9, 3
, 3, 1], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1), And(u^2+x-1 <
y,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], [0, 0], [-2, -2]]]], [[10, 9, 3, 3, 2], [v = 2^(1/2), And(1 < u,u <
v), And(-1 < x,x < -u^2+1), And(u^2+x-1 < y,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], [0, 0], [-1417877/2097152, -\
354469/524288]]]], [[10, 9, 3, 3, 3], [v = 2^(1/2), And(1 < u,u < v), And(-1 <
x,x < -u^2+1), And(u^2+x-1 < y,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], [0, 0], [0, 0
]]]], [[10, 9, 3, 3, 4], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1
), And(u^2+x-1 < y,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], [0, 0], [354469/524288, 708939/1048576]]]], [[10,
9, 3, 3, 5], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1), And(u^2+x
-1 < y,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], [0, 0], [2, 2]]]], [[11, 2, 1, 1, 1], [2^(1/2) < v, u = -v,
x < -1, y < x+1, z < -1], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [-2, -2
], [-2, -2]]]], [[11, 2, 1, 1, 2], [2^(1/2) < v, u = -v, x < -1, y < x+1, z =
-1], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [-2, -2], [-1, -1]]]], [[11,
2, 1, 1, 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], [-2, -2], [0, 0]]]], [[11, 2, 1, 1
, 4], [2^(1/2) < v, u = -v, x < -1, y < x+1, z = 1], [regular_chain, [[3, 3],
[-3, -3], [-2, -2], [-2, -2], [1, 1]]]], [[11, 2, 1, 1, 5], [2^(1/2) < v, u =
-v, x < -1, y < x+1, 1 < z], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [-2,
-2], [2, 2]]]], [[1, 10, 4, 3, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x = 0, 0
< y, z < 0], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [0,
0], [1, 1], [-1, -1]]]], [[1, 10, 4, 3, 2], [v < -2^(1/2), u = (v^2-1)^(1/2),
x = 0, 0 < y, z = 0], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [0, 0], [1, 1], [0, 0]]]], [[1, 10, 4, 3, 3], [v < -2^(1/2), u = (v^
2-1)^(1/2), x = 0, 0 < y, 0 < z], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [0, 0], [1, 1], [1, 1]]]], [[2, 1, 3, 2, 1], [v = -2^(1/2),
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], [-3, -3], [-9/2, -9/2], [-\
7/2, -7/2], [-4, -4]]]], [[2, 1, 3, 2, 2], [v = -2^(1/2), 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], [-3, -3], [-9/2, -9/2], [-7/2, -7/2], [-2965821/
1048576, -11863283/4194304]]]], [[2, 1, 3, 2, 3], [v = -2^(1/2), 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], [-3, -3], [-9/2, -9/2], [-\
7/2, -7/2], [-3/8388608, -3/8388608]]]], [[2, 1, 3, 2, 4], [v = -2^(1/2), 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], [-3, -3], [-9/2, -9/2], [-7/2, -7/2], [
741455/262144, 2965821/1048576]]]], [[2, 1, 3, 2, 5], [v = -2^(1/2), 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], [-3, -3], [-9/2, -9/2], [-7/2, -7/2], [4, 4]
]]], [[3, 5, 2, 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 < -u^2+v^2), z = z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [0, 0], [0, 0]]]], [[
3, 8, 5, 5, 1], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x, x+1 < y, z < -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [2, 2], [4, 4], [-2, -2]]]], [[3, 8, 5, 5, 2], [And(-2^(1/2)
< v,v < -1), u = -v, 1 < x, x+1 < y, z = -1], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [4, 4]
, [-1, -1]]]], [[3, 8, 5, 5, 3], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x, x+1
< y, And(-1 < z,z < 1)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [1265743/1048576, 1265743/1048576], [2, 2], [4, 4], [0, 0]]]], [[3, 8, 5, 5,
4], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x, x+1 < y, z = 1], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [2,
2], [4, 4], [1, 1]]]], [[3, 8, 5, 5, 5], [And(-2^(1/2) < v,v < -1), u = -v, 1
< x, x+1 < y, 1 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [2, 2], [4, 4], [2, 2]]]], [[5, 4, 3, 2, 1]
, [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 1), y = -1-x, z < -1], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [-1, -1], [-2, -2]]]], [[5,
4, 3, 2, 2], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 1), y = -1-x, z = -1],
[regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [-1, -1], [-1, -1]]]], [[5,
4, 3, 2, 3], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 1), y = -1-x, And(-1 <
z,z < 1)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [-1, -1], [0, 0]
]]], [[5, 4, 3, 2, 4], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 1), y = -1-x
, z = 1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [-1, -1], [1, 1]]
]], [[5, 4, 3, 2, 5], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 1), y = -1-x,
1 < z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [-1, -1], [2, 2]]]]
, [[6, 3, 3, 4, 1], [v = 0, 0 < u, And(-u^2-1 < x,x < -1), y = u^2+x+1, z < -(
u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [1/2, 1/2], [-3,
-3]]]], [[6, 3, 3, 4, 2], [v = 0, 0 < u, And(-u^2-1 < x,x < -1), y = u^2+x+1,
z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [1/2, 1/2]
, [-1482911/1048576, -741455/524288]]]], [[6, 3, 3, 4, 3], [v = 0, 0 < 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], [1, 1], [-3/2, -3/2], [1/2, 1/2], [0, 0]]]], [[6, 3, 3
, 4, 4], [v = 0, 0 < u, And(-u^2-1 < x,x < -1), y = u^2+x+1, z = (u^2+1)^(1/2)
], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [1/2, 1/2], [741455/524288,
1482911/1048576]]]], [[6, 3, 3, 4, 5], [v = 0, 0 < u, And(-u^2-1 < x,x < -1),
y = u^2+x+1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2]
, [1/2, 1/2], [3, 3]]]], [[9, 3, 5, 2, 1], [And(1 < v,v < 2^(1/2)), And(-v < u
,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v
^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [299103/1048576, 299103/1048576], [-374737/524288,
-1498947/2097152], [-2, -2]]]], [[9, 3, 5, 2, 2], [And(1 < v,v < 2^(1/2)), And
(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [299103/1048576, 299103/1048576], [-374737
/524288, -1498947/2097152], [-1374407/2097152, -687203/1048576]]]], [[9, 3, 5,
2, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1
< x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2)
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [299103/1048576, 299103/1048576], [-374737/524288, -1498947/
2097152], [0, 0]]]], [[9, 3, 5, 2, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u <
-(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304
, -3949363/4194304], [299103/1048576, 299103/1048576], [-374737/524288, -\
1498947/2097152], [687203/1048576, 171801/262144]]]], [[9, 3, 5, 2, 5], [And(1
< v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y
= -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [299103/1048576, 
299103/1048576], [-374737/524288, -1498947/2097152], [2, 2]]]], [[9, 7, 1, 2,
1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < -1, y = u^2-v^2
+x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-2, -2], [-1646781/1048576, -\
3293561/2097152], [-2, -2]]]], [[9, 7, 1, 2, 2], [And(1 < v,v < 2^(1/2)), And(
(v^2-1)^(1/2) < u,u < v), x < -1, y = u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-2, -2], [-1646781/1048576, -3293561/2097152], [-1374407/2097152, -\
687203/1048576]]]], [[9, 7, 1, 2, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/
2) < u,u < v), x < -1, y = u^2-v^2+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], [-1646781/1048576, -3293561/2097152], [0,
0]]]], [[9, 7, 1, 2, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v)
, x < -1, y = u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-2, -2], [-\
1646781/1048576, -3293561/2097152], [687203/1048576, 171801/262144]]]], [[9, 7
, 1, 2, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < -1, y =
u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-2, -2], [-1646781/
1048576, -3293561/2097152], [2, 2]]]], [[10, 1, 6, 5, 1], [v = 2^(1/2), u < -v
, x = 1, u^2 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [1, 1], [10, 10], [-4, -4]]]], [[10, 1, 6, 5, 2],
[v = 2^(1/2), u < -v, x = 1, u^2 < y, z = -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [1, 1], [10, 10], [-2965821/1048576
, -11863283/4194304]]]], [[10, 1, 6, 5, 3], [v = 2^(1/2), u < -v, x = 1, u^2 <
y, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288
, 1482911/1048576], [-3, -3], [1, 1], [10, 10], [-3/8388608, -3/8388608]]]], [
[10, 1, 6, 5, 4], [v = 2^(1/2), u < -v, x = 1, u^2 < y, z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [1, 1], [10, 10],
[741455/262144, 2965821/1048576]]]], [[10, 1, 6, 5, 5], [v = 2^(1/2), u < -v,
x = 1, u^2 < y, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [1, 1], [10, 10], [4, 4]]]], [[10, 5, 5, 2, 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]]]], [[11, 9, 6, 5, 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 = z], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [1, 1], [2, 2], [0, 0]]]], [[11, 13, 5, 2, 1]
, [2^(1/2) < v, v < u, And(-1 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(
1/2)], [regular_chain, [[3, 3], [4, 4], [0, 0], [-8, -8], [-4, -4]]]], [[11, 
13, 5, 2, 2], [2^(1/2) < v, v < u, And(-1 < x,x < 1), y = -u^2+v^2-x-1, z = -(
u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [0, 0], [-8, -8], [-\
2965821/1048576, -11863283/4194304]]]], [[11, 13, 5, 2, 3], [2^(1/2) < v, v <
u, And(-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], [4, 4], [0, 0], [-8, -8], [-3/8388608,
-3/8388608]]]], [[11, 13, 5, 2, 4], [2^(1/2) < v, v < u, And(-1 < x,x < 1), y
= -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [0, 0
], [-8, -8], [741455/262144, 2965821/1048576]]]], [[11, 13, 5, 2, 5], [2^(1/2)
< v, v < u, And(-1 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [4, 4], [0, 0], [-8, -8], [4, 4]]]], [[1, 3, 1, 1, 1],
[v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 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], [-2, -2], [-3, -3], [-2, -2]]]], [[1, 3, 1, 1, 2], [v < -2^(1/2), 
And(v < u,u < -(v^2-1)^(1/2)), 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], [-2, -2],
[-3, -3], [-735979/1048576, -1471957/2097152]]]], [[1, 3, 1, 1, 3], [v < -2^(1
/2), And(v < u,u < -(v^2-1)^(1/2)), 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], [-2, -2], [-3, -3], [-1/4194304, -1/4194304]]]], [
[1, 3, 1, 1, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 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], [-2, -2], [-3, -3], [367989/524288, 735979/1048576]]]], [
[1, 3, 1, 1, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 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], [-2, -2], [-3, -3], [2, 2]]]], [[1, 6, 4, 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]]]], [[2, 8, 6, 1,
1], [v = -2^(1/2), u = 1, x = 1, y < -1, z < 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [1, 1], [-2, -2], [-1, -1]]]], [[2, 8, 6, 1,
2], [v = -2^(1/2), u = 1, x = 1, y < -1, z = 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [1, 1], [-2, -2], [0, 0]]]], [[2, 8, 6, 1, 3
], [v = -2^(1/2), u = 1, x = 1, y < -1, 0 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [1, 1], [-2, -2], [1, 1]]]], [[3, 1, 4, 3, 1
], [And(-2^(1/2) < v,v < -1), u < v, x = -1, And(-u^2+v^2 < y,y < u^2-v^2), z
< -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-3, -3], [-1, -1], [0, 0], [-4, -4]]]], [[3, 1, 4, 3, 2], [And(-2^(1/2) < v,v
< -1), u < v, x = -1, And(-u^2+v^2 < y,y < u^2-v^2), z = -(u^2-v^2+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [0,
0], [-1532401/524288, -24518415/8388608]]]], [[3, 1, 4, 3, 3], [And(-2^(1/2) <
v,v < -1), u < v, x = -1, And(-u^2+v^2 < y,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], [0, 0], [-7/16777216, -7/16777216]]]], [[3, 1, 4
, 3, 4], [And(-2^(1/2) < v,v < -1), u < v, x = -1, And(-u^2+v^2 < y,y < u^2-v^
2), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [-1, -1], [0, 0], [3064801/1048576, 1532401/524288]]]], [[
3, 1, 4, 3, 5], [And(-2^(1/2) < v,v < -1), u < v, x = -1, And(-u^2+v^2 < y,y <
u^2-v^2), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-3, -3], [-1, -1], [0, 0], [4, 4]]]], [[4, 3, 6, 3, 1], [v = -1, 
And(-1 < u,u < 0), x = 1, And(-u^2-1 < y,y < u^2+1), z < u], [regular_chain, [
[-1, -1], [-1/2, -1/2], [1, 1], [0, 0], [-2, -2]]]], [[4, 3, 6, 3, 2], [v = -1
, And(-1 < u,u < 0), x = 1, And(-u^2-1 < y,y < u^2+1), z = u], [regular_chain,
[[-1, -1], [-1/2, -1/2], [1, 1], [0, 0], [-1/2, -1/2]]]], [[4, 3, 6, 3, 3], [v
= -1, And(-1 < u,u < 0), x = 1, And(-u^2-1 < y,y < u^2+1), And(u < z,z < -u)],
[regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [0, 0], [0, 0]]]], [[4, 3, 6,
3, 4], [v = -1, And(-1 < u,u < 0), x = 1, And(-u^2-1 < y,y < u^2+1), z = -u],
[regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [0, 0], [1/2, 1/2]]]], [[4, 3
, 6, 3, 5], [v = -1, And(-1 < u,u < 0), x = 1, And(-u^2-1 < y,y < u^2+1), -u <
z], [regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [0, 0], [2, 2]]]], [[4, 7
, 4, 5, 1], [v = -1, 1 < u, x = -1, u^2-1 < y, z < -u], [regular_chain, [[-1,
-1], [2, 2], [-1, -1], [4, 4], [-3, -3]]]], [[4, 7, 4, 5, 2], [v = -1, 1 < u,
x = -1, u^2-1 < y, z = -u], [regular_chain, [[-1, -1], [2, 2], [-1, -1], [4, 4
], [-2, -2]]]], [[4, 7, 4, 5, 3], [v = -1, 1 < u, x = -1, u^2-1 < y, And(-u <
z,z < u)], [regular_chain, [[-1, -1], [2, 2], [-1, -1], [4, 4], [0, 0]]]], [[4
, 7, 4, 5, 4], [v = -1, 1 < u, x = -1, u^2-1 < y, z = u], [regular_chain, [[-1
, -1], [2, 2], [-1, -1], [4, 4], [2, 2]]]], [[4, 7, 4, 5, 5], [v = -1, 1 < u,
x = -1, u^2-1 < y, u < z], [regular_chain, [[-1, -1], [2, 2], [-1, -1], [4, 4]
, [3, 3]]]], [[8, 3, 1, 3, 1], [v = 1, And(-1 < u,u < 0), x < -1, And(u^2+x <
y,y < -u^2-x), z < u], [regular_chain, [[1, 1], [-1/2, -1/2], [-2, -2], [0, 0]
, [-2, -2]]]], [[8, 3, 1, 3, 2], [v = 1, And(-1 < u,u < 0), x < -1, And(u^2+x
< y,y < -u^2-x), z = u], [regular_chain, [[1, 1], [-1/2, -1/2], [-2, -2], [0,
0], [-1/2, -1/2]]]], [[8, 3, 1, 3, 3], [v = 1, And(-1 < u,u < 0), x < -1, And(
u^2+x < y,y < -u^2-x), And(u < z,z < -u)], [regular_chain, [[1, 1], [-1/2, -1/
2], [-2, -2], [0, 0], [0, 0]]]], [[8, 3, 1, 3, 4], [v = 1, And(-1 < u,u < 0),
x < -1, And(u^2+x < y,y < -u^2-x), z = -u], [regular_chain, [[1, 1], [-1/2, -1
/2], [-2, -2], [0, 0], [1/2, 1/2]]]], [[8, 3, 1, 3, 5], [v = 1, And(-1 < u,u <
0), x < -1, And(u^2+x < y,y < -u^2-x), -u < z], [regular_chain, [[1, 1], [-1/2
, -1/2], [-2, -2], [0, 0], [2, 2]]]], [[8, 6, 4, 5, 1], [v = 1, u = 1, x = 1,
2 < y, z < -1], [regular_chain, [[1, 1], [1, 1], [1, 1], [3, 3], [-2, -2]]]],
[[8, 6, 4, 5, 2], [v = 1, u = 1, x = 1, 2 < y, z = -1], [regular_chain, [[1, 1
], [1, 1], [1, 1], [3, 3], [-1, -1]]]], [[8, 6, 4, 5, 3], [v = 1, u = 1, x = 1
, 2 < y, And(-1 < z,z < 1)], [regular_chain, [[1, 1], [1, 1], [1, 1], [3, 3],
[0, 0]]]], [[8, 6, 4, 5, 4], [v = 1, u = 1, x = 1, 2 < y, z = 1], [
regular_chain, [[1, 1], [1, 1], [1, 1], [3, 3], [1, 1]]]], [[8, 6, 4, 5, 5], [
v = 1, u = 1, x = 1, 2 < y, 1 < z], [regular_chain, [[1, 1], [1, 1], [1, 1], [
3, 3], [2, 2]]]], [[10, 9, 3, 2, 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, 9, 3, 2, 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, 9
, 3, 2, 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, 9, 3, 2,
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, 9, 3, 2, 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, 2, 1, 4, 1], [2^(1/2) < v, u = -v, x
< -1, y = -1-x, z < -1], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [1, 1],
[-2, -2]]]], [[11, 2, 1, 4, 2], [2^(1/2) < v, u = -v, x < -1, y = -1-x, z = -1
], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [1, 1], [-1, -1]]]], [[11, 2,
1, 4, 3], [2^(1/2) < v, u = -v, x < -1, y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[3, 3], [-3, -3], [-2, -2], [1, 1], [0, 0]]]], [[11, 2, 1, 4,
4], [2^(1/2) < v, u = -v, x < -1, y = -1-x, z = 1], [regular_chain, [[3, 3], [
-3, -3], [-2, -2], [1, 1], [1, 1]]]], [[11, 2, 1, 4, 5], [2^(1/2) < v, u = -v,
x < -1, y = -1-x, 1 < z], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [1, 1],
[2, 2]]]], [[1, 10, 4, 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, 10, 4, 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, 10, 4, 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]]]], [[2, 1, 3, 1, 1], [v = -2^(1/2), 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], [-3, -3], [-9/2, -9/2], [-5, -5], [-4, -4]]]
], [[2, 1, 3, 1, 2], [v = -2^(1/2), 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], [
-3, -3], [-9/2, -9/2], [-5, -5], [-2965821/1048576, -11863283/4194304]]]], [[2
, 1, 3, 1, 3], [v = -2^(1/2), 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], [-3, -3], [-9/2, -9/2], [-5, -5], [-3/8388608, -3/8388608]]]],
[[2, 1, 3, 1, 4], [v = -2^(1/2), 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], [-3,
-3], [-9/2, -9/2], [-5, -5], [741455/262144, 2965821/1048576]]]], [[2, 1, 3, 1
, 5], [v = -2^(1/2), 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], [-3, -3], [-9/2,
-9/2], [-5, -5], [4, 4]]]], [[3, 5, 2, 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, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [
763943/524288, 1527887/1048576], [0, 0]]]], [[3, 9, 1, 1, 1], [And(-2^(1/2) <
v,v < -1), -v < 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], [-3,
-3], [-4, -4]]]], [[3, 9, 1, 1, 2], [And(-2^(1/2) < v,v < -1), -v < 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], [-3, -3], [-1532401/524288, -\
24518415/8388608]]]], [[3, 9, 1, 1, 3], [And(-2^(1/2) < v,v < -1), -v < 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],
[-3, -3], [-7/16777216, -7/16777216]]]], [[3, 9, 1, 1, 4], [And(-2^(1/2) < v,v
< -1), -v < 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], [-3,
-3], [3064801/1048576, 1532401/524288]]]], [[3, 9, 1, 1, 5], [And(-2^(1/2) < v
,v < -1), -v < 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], [-3,
-3], [4, 4]]]], [[5, 4, 3, 1, 1], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 1
), y < -1-x, z < -1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [-2,
-2], [-2, -2]]]], [[5, 4, 3, 1, 2], [And(-1 < v,v < 0), u = -v, And(-1 < x,x <
1), y < -1-x, z = -1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [-2,
-2], [-1, -1]]]], [[5, 4, 3, 1, 3], [And(-1 < v,v < 0), u = -v, And(-1 < x,x <
1), y < -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [
0, 0], [-2, -2], [0, 0]]]], [[5, 4, 3, 1, 4], [And(-1 < v,v < 0), u = -v, And(
-1 < x,x < 1), y < -1-x, z = 1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0
, 0], [-2, -2], [1, 1]]]], [[5, 4, 3, 1, 5], [And(-1 < v,v < 0), u = -v, And(-\
1 < x,x < 1), y < -1-x, 1 < z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0,
0], [-2, -2], [2, 2]]]], [[6, 3, 3, 3, 1], [v = 0, 0 < u, And(-u^2-1 < x,x < -\
1), And(-u^2-x-1 < y,y < u^2+x+1), z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0
], [1, 1], [-3/2, -3/2], [0, 0], [-3, -3]]]], [[6, 3, 3, 3, 2], [v = 0, 0 < u,
And(-u^2-1 < x,x < -1), And(-u^2-x-1 < y,y < u^2+x+1), z = -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [0, 0], [-1482911/1048576, -\
741455/524288]]]], [[6, 3, 3, 3, 3], [v = 0, 0 < u, And(-u^2-1 < x,x < -1), 
And(-u^2-x-1 < y,y < u^2+x+1), And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [
regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [0, 0], [0, 0]]]], [[6, 3, 3, 3,
4], [v = 0, 0 < u, And(-u^2-1 < x,x < -1), And(-u^2-x-1 < y,y < u^2+x+1), z =
(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [0, 0], [741455
/524288, 1482911/1048576]]]], [[6, 3, 3, 3, 5], [v = 0, 0 < u, And(-u^2-1 < x,
x < -1), And(-u^2-x-1 < y,y < u^2+x+1), (u^2+1)^(1/2) < z], [regular_chain, [[
0, 0], [1, 1], [-3/2, -3/2], [0, 0], [3, 3]]]], [[9, 3, 5, 3, 1], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(-u^
2+v^2-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [
299103/1048576, 299103/1048576], [-1/4194304, -1/4194304], [-2, -2]]]], [[9, 3
, 5, 3, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+
v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [299103/1048576, 299103/1048576], [-1/4194304, -1/4194304],
[-1374407/2097152, -687203/1048576]]]], [[9, 3, 5, 3, 3], [And(1 < v,v < 2^(1/
2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2-x
-1 < y,y < u^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], [299103/1048576, 299103/1048576], [-1/4194304, -1/4194304],
[0, 0]]]], [[9, 3, 5, 3, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^
(1/2)), And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z =
(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [299103/1048576, 299103/1048576], [-1/
4194304, -1/4194304], [687203/1048576, 171801/262144]]]], [[9, 3, 5, 3, 5], [
And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x <
1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [299103/1048576, 299103/1048576], [-1/4194304, -1/4194304],
[2, 2]]]], [[9, 7, 1, 3, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u
< v), x < -1, And(u^2-v^2+x+1 < y,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], [-1/4194304, -1/4194304], [-2, -2]]]], [[9, 7, 1, 3, 2], [
And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < -1, And(u^2-v^2+x+1
< y,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], [-1/
4194304, -1/4194304], [-1374407/2097152, -687203/1048576]]]], [[9, 7, 1, 3, 3]
, [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < -1, And(u^2-v^2+x
+1 < y,y < -u^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], [-1/4194304, -1/4194304], [0, 0]]]], [[9, 7, 1, 3, 4], [
And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < -1, And(u^2-v^2+x+1
< y,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], [-1/
4194304, -1/4194304], [687203/1048576, 171801/262144]]]], [[9, 7, 1, 3, 5], [
And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < -1, And(u^2-v^2+x+1
< y,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], [-1/
4194304, -1/4194304], [2, 2]]]], [[10, 1, 6, 4, 1], [v = 2^(1/2), u < -v, 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, 6, 4, 2], [v = 2^(1/
2), u < -v, 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, 6, 4, 3], [v = 2^(1/2), 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], [-3, -3], [1, 1], [9, 9], [-3/8388608, -3/8388608]]]], [[10,
1, 6, 4, 4], [v = 2^(1/2), u < -v, 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, 6, 4, 5], [v = 2^(1/2), u < -v, 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, 5, 5, 1, 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], [-\
2, -2], [0, 0]]]], [[11, 9, 7, 1, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u <
(v^2-1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z = z], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [2, 2], [-3, -3], [0, 0]]]], [[11, 13, 5, 3,
1], [2^(1/2) < v, v < u, And(-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x
+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [0, 0], [0, 0],
[-4, -4]]]], [[11, 13, 5, 3, 2], [2^(1/2) < v, v < u, And(-1 < x,x < 1), And(-
u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3
, 3], [4, 4], [0, 0], [0, 0], [-2965821/1048576, -11863283/4194304]]]], [[11,
13, 5, 3, 3], [2^(1/2) < v, v < u, And(-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y <
u^2-v^2+x+1), And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[3, 3], [4, 4], [0, 0], [0, 0], [-3/8388608, -3/8388608]]]], [
[11, 13, 5, 3, 4], [2^(1/2) < v, v < u, And(-1 < x,x < 1), And(-u^2+v^2-x-1 <
y,y < u^2-v^2+x+1), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [4, 4], [
0, 0], [0, 0], [741455/262144, 2965821/1048576]]]], [[11, 13, 5, 3, 5], [2^(1/
2) < v, v < u, And(-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-
v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [4, 4], [0, 0], [0, 0], [4, 4]]]],
[[1, 2, 5, 5, 1], [v < -2^(1/2), u = v, 1 < x, x+1 < y, z < -1], [
regular_chain, [[-3, -3], [-3, -3], [2, 2], [4, 4], [-2, -2]]]], [[1, 2, 5, 5,
2], [v < -2^(1/2), u = v, 1 < x, x+1 < y, z = -1], [regular_chain, [[-3, -3],
[-3, -3], [2, 2], [4, 4], [-1, -1]]]], [[1, 2, 5, 5, 3], [v < -2^(1/2), u = v,
1 < x, x+1 < y, And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [-3, -3], [2, 2
], [4, 4], [0, 0]]]], [[1, 2, 5, 5, 4], [v < -2^(1/2), u = v, 1 < x, x+1 < y,
z = 1], [regular_chain, [[-3, -3], [-3, -3], [2, 2], [4, 4], [1, 1]]]], [[1, 2
, 5, 5, 5], [v < -2^(1/2), u = v, 1 < x, x+1 < y, 1 < z], [regular_chain, [[-3
, -3], [-3, -3], [2, 2], [4, 4], [2, 2]]]], [[1, 6, 3, 5, 1], [v < -2^(1/2), u
= -(v^2-2)^(1/2), And(-1 < x,x < 1), -x+1 < y, z = z], [regular_chain, [[-3, -\
3], [-5548543/2097152, -2774271/1048576], [0, 0], [2, 2], [0, 0]]]], [[2, 8, 6
, 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, 6, 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,
6, 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]]]], [[3, 1,
4, 4, 1], [And(-2^(1/2) < v,v < -1), u < v, 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, 4, 2], [
And(-2^(1/2) < v,v < -1), u < v, 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, 4, 3], [And(-2^(1/2) < v,v < -1), 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], [-3, -3], [-1, -1], [7909297/1048576, 3954649/524288], [-\
7/16777216, -7/16777216]]]], [[3, 1, 4, 4, 4], [And(-2^(1/2) < v,v < -1), u <
v, 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, 4, 5], [And(-2^(1/2)
< v,v < -1), u < v, 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, 3, 6, 2, 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, 3, 6, 2, 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, 3, 6, 2, 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, 3, 6, 2, 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, 3, 6, 2, 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, 7, 4, 4, 1], [v = -1, 1 < u, x = -1, y = u^2-1, z <
-u], [regular_chain, [[-1, -1], [2, 2], [-1, -1], [3, 3], [-3, -3]]]], [[4, 7,
4, 4, 2], [v = -1, 1 < u, x = -1, y = u^2-1, z = -u], [regular_chain, [[-1, -1
], [2, 2], [-1, -1], [3, 3], [-2, -2]]]], [[4, 7, 4, 4, 3], [v = -1, 1 < u, x
= -1, y = u^2-1, And(-u < z,z < u)], [regular_chain, [[-1, -1], [2, 2], [-1, -\
1], [3, 3], [0, 0]]]], [[4, 7, 4, 4, 4], [v = -1, 1 < u, x = -1, y = u^2-1, z
= u], [regular_chain, [[-1, -1], [2, 2], [-1, -1], [3, 3], [2, 2]]]], [[4, 7,
4, 4, 5], [v = -1, 1 < u, x = -1, y = u^2-1, u < z], [regular_chain, [[-1, -1]
, [2, 2], [-1, -1], [3, 3], [3, 3]]]], [[8, 3, 1, 4, 1], [v = 1, And(-1 < u,u
< 0), x < -1, y = -u^2-x, z < u], [regular_chain, [[1, 1], [-1/2, -1/2], [-2,
-2], [7/4, 7/4], [-2, -2]]]], [[8, 3, 1, 4, 2], [v = 1, And(-1 < u,u < 0), x <
-1, y = -u^2-x, z = u], [regular_chain, [[1, 1], [-1/2, -1/2], [-2, -2], [7/4,
7/4], [-1/2, -1/2]]]], [[8, 3, 1, 4, 3], [v = 1, And(-1 < u,u < 0), x < -1, y
= -u^2-x, And(u < z,z < -u)], [regular_chain, [[1, 1], [-1/2, -1/2], [-2, -2],
[7/4, 7/4], [0, 0]]]], [[8, 3, 1, 4, 4], [v = 1, And(-1 < u,u < 0), x < -1, y
= -u^2-x, z = -u], [regular_chain, [[1, 1], [-1/2, -1/2], [-2, -2], [7/4, 7/4]
, [1/2, 1/2]]]], [[8, 3, 1, 4, 5], [v = 1, And(-1 < u,u < 0), x < -1, y = -u^2
-x, -u < z], [regular_chain, [[1, 1], [-1/2, -1/2], [-2, -2], [7/4, 7/4], [2,
2]]]], [[8, 6, 5, 1, 1], [v = 1, u = 1, 1 < x, y < -1-x, z < -1], [
regular_chain, [[1, 1], [1, 1], [2, 2], [-4, -4], [-2, -2]]]], [[8, 6, 5, 1, 2
], [v = 1, u = 1, 1 < x, y < -1-x, z = -1], [regular_chain, [[1, 1], [1, 1], [
2, 2], [-4, -4], [-1, -1]]]], [[8, 6, 5, 1, 3], [v = 1, u = 1, 1 < x, y < -1-x
, And(-1 < z,z < 1)], [regular_chain, [[1, 1], [1, 1], [2, 2], [-4, -4], [0, 0
]]]], [[8, 6, 5, 1, 4], [v = 1, u = 1, 1 < x, y < -1-x, z = 1], [regular_chain
, [[1, 1], [1, 1], [2, 2], [-4, -4], [1, 1]]]], [[8, 6, 5, 1, 5], [v = 1, u =
1, 1 < x, y < -1-x, 1 < z], [regular_chain, [[1, 1], [1, 1], [2, 2], [-4, -4],
[2, 2]]]], [[10, 9, 3, 1, 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], [-2, -2], [-2, -2]]]], [[10, 9, 3, 1, 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], [-2, -2], [-1417877/2097152, -\
354469/524288]]]], [[10, 9, 3, 1, 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], [-2, -2], [0, 0]]]], [[10, 9,
3, 1, 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], [-2,
-2], [354469/524288, 708939/1048576]]]], [[10, 9, 3, 1, 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], [-2, -2], [2, 2]]]], [[11, 2,
1, 3, 1], [2^(1/2) < v, u = -v, x < -1, And(x+1 < y,y < -1-x), z < -1], [
regular_chain, [[3, 3], [-3, -3], [-2, -2], [0, 0], [-2, -2]]]], [[11, 2, 1, 3
, 2], [2^(1/2) < v, u = -v, x < -1, And(x+1 < y,y < -1-x), z = -1], [
regular_chain, [[3, 3], [-3, -3], [-2, -2], [0, 0], [-1, -1]]]], [[11, 2, 1, 3
, 3], [2^(1/2) < v, u = -v, x < -1, And(x+1 < y,y < -1-x), And(-1 < z,z < 1)],
[regular_chain, [[3, 3], [-3, -3], [-2, -2], [0, 0], [0, 0]]]], [[11, 2, 1, 3,
4], [2^(1/2) < v, u = -v, x < -1, And(x+1 < y,y < -1-x), z = 1], [
regular_chain, [[3, 3], [-3, -3], [-2, -2], [0, 0], [1, 1]]]], [[11, 2, 1, 3,
5], [2^(1/2) < v, u = -v, x < -1, And(x+1 < y,y < -1-x), 1 < z], [
regular_chain, [[3, 3], [-3, -3], [-2, -2], [0, 0], [2, 2]]]], [[1, 13, 3, 1,
1], [v < -2^(1/2), -v < 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], [4, 4], [-9/2, -9/2], [-5, -5],
[-4, -4]]]], [[1, 13, 3, 1, 2], [v < -2^(1/2), -v < 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], [4,
4], [-9/2, -9/2], [-5, -5], [-2965821/1048576, -11863283/4194304]]]], [[1, 13,
3, 1, 3], [v < -2^(1/2), -v < 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],
[4, 4], [-9/2, -9/2], [-5, -5], [-3/8388608, -3/8388608]]]], [[1, 13, 3, 1, 4]
, [v < -2^(1/2), -v < 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], [4, 4], [-9/2, -9/2], [-5, -5], [
741455/262144, 2965821/1048576]]]], [[1, 13, 3, 1, 5], [v < -2^(1/2), -v < 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], [4, 4], [-9/2, -9/2], [-5, -5], [4, 4]]]], [[2, 4, 7
, 5, 1], [v = -2^(1/2), u = -1, 1 < x, x < y, z < 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [2, 2], [3, 3], [-1, -1]]]], [[2,
4, 7, 5, 2], [v = -2^(1/2), u = -1, 1 < x, x < y, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [2, 2], [3, 3], [0, 0]]]], [[2, 4,
7, 5, 3], [v = -2^(1/2), u = -1, 1 < x, x < y, 0 < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [2, 2], [3, 3], [1, 1]]]], [[3, 3,
6, 3, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, And
(-u^2+v^2-2 < y,y < u^2-v^2+2), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [1,
1], [0, 0], [-2, -2]]]], [[3, 3, 6, 3, 2], [And(-2^(1/2) < v,v < -1), And(v <
u,u < -(v^2-1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z = -(u^2-v^2
+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [1, 1], [0, 0], [-1374407/2097152, -687203/1048576
]]]], [[3, 3, 6, 3, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2
)), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), And(-(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], [0, 0], [0, 0]]]], [[3, 3, 6, 3, 4
], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, And(-u^2+v
^2-2 < y,y < u^2-v^2+2), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [0,
0], [687203/1048576, 171801/262144]]]], [[3, 3, 6, 3, 5], [And(-2^(1/2) < v,v
< -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2)
, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-3949363/4194304, -3949363/4194304], [1, 1], [0, 0], [2, 2]]]], [[3, 8, 2,
2, 1], [And(-2^(1/2) < v,v < -1), u = -v, x = -1, y = 0, z < -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-1, -1], [0, 0], [-2, -2]]]], [[3, 8, 2, 2, 2], [And(-2^(1/
2) < v,v < -1), u = -v, x = -1, y = 0, z = -1], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [0,
0], [-1, -1]]]], [[3, 8, 2, 2, 3], [And(-2^(1/2) < v,v < -1), u = -v, x = -1,
y = 0, And(-1 < z,z < 1)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [0, 0], [0, 0]]]], [[3
, 8, 2, 2, 4], [And(-2^(1/2) < v,v < -1), u = -v, x = -1, y = 0, z = 1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-1, -1], [0, 0], [1, 1]]]], [[3, 8, 2, 2, 5], [And(-2^(1/2)
< v,v < -1), u = -v, x = -1, y = 0, 1 < z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [0, 0], [2,
2]]]], [[6, 2, 1, 1, 1], [v = 0, u = 0, x < -1, y < x+1, z < -1], [
regular_chain, [[0, 0], [0, 0], [-2, -2], [-2, -2], [-2, -2]]]], [[6, 2, 1, 1,
2], [v = 0, u = 0, x < -1, y < x+1, z = -1], [regular_chain, [[0, 0], [0, 0],
[-2, -2], [-2, -2], [-1, -1]]]], [[6, 2, 1, 1, 3], [v = 0, u = 0, x < -1, y <
x+1, And(-1 < z,z < 1)], [regular_chain, [[0, 0], [0, 0], [-2, -2], [-2, -2],
[0, 0]]]], [[6, 2, 1, 1, 4], [v = 0, u = 0, x < -1, y < x+1, z = 1], [
regular_chain, [[0, 0], [0, 0], [-2, -2], [-2, -2], [1, 1]]]], [[6, 2, 1, 1, 5
], [v = 0, u = 0, x < -1, y < x+1, 1 < z], [regular_chain, [[0, 0], [0, 0], [-\
2, -2], [-2, -2], [2, 2]]]], [[7, 4, 1, 2, 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, 4, 1, 2, 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, 4, 1, 2, 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, 4, 1, 2, 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, 4,
1, 2, 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]]]], [[9, 1, 6, 5, 1], [And(
1 < v,v < 2^(1/2)), u < -v, x = 1, u^2-v^2+2 < y, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1, 1], [11, 11]
, [-4, -4]]]], [[9, 1, 6, 5, 2], [And(1 < v,v < 2^(1/2)), u < -v, x = 1, u^2-v
^2+2 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [1, 1], [11, 11], [-1532401/524288, -24518415/8388608]]]],
[[9, 1, 6, 5, 3], [And(1 < v,v < 2^(1/2)), u < -v, x = 1, u^2-v^2+2 < y, 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], [11, 11], [-7/16777216, -7/
16777216]]]], [[9, 1, 6, 5, 4], [And(1 < v,v < 2^(1/2)), u < -v, x = 1, u^2-v^
2+2 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [1, 1], [11, 11], [3064801/1048576, 1532401/524288]]]], [[
9, 1, 6, 5, 5], [And(1 < v,v < 2^(1/2)), u < -v, x = 1, u^2-v^2+2 < y, (u^2-v^
2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3]
, [1, 1], [11, 11], [4, 4]]]], [[9, 6, 5, 1, 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], [-2, -\
2], [-1, -1]]]], [[9, 6, 5, 1, 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], [-2, -2], [0, 0]]]], [[
9, 6, 5, 1, 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], [-2, -2], [1, 1]]]], [[10, 2, 3, 3, 1], [
v = 2^(1/2), u = -v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z < -1], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [0, 0], [0, 0], [-2, -2]]]], [[10, 2, 3, 3, 2], [v = 2^(1/2), u = -v,
And(-1 < x,x < 1), And(-1-x < y,y < x+1), z = -1], [regular_chain, [[741455/
524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [0, 0], [0, 0],
[-1, -1]]]], [[10, 2, 3, 3, 3], [v = 2^(1/2), u = -v, And(-1 < x,x < 1), And(-\
1-x < y,y < x+1), And(-1 < z,z < 1)], [regular_chain, [[741455/524288, 1482911
/1048576], [-1482911/1048576, -741455/524288], [0, 0], [0, 0], [0, 0]]]], [[10
, 2, 3, 3, 4], [v = 2^(1/2), u = -v, And(-1 < x,x < 1), And(-1-x < y,y < x+1),
z = 1], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576,
-741455/524288], [0, 0], [0, 0], [1, 1]]]], [[10, 2, 3, 3, 5], [v = 2^(1/2), u
= -v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), 1 < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [0, 0], [
0, 0], [2, 2]]]], [[10, 7, 3, 2, 1], [v = 2^(1/2), And(0 < u,u < 1), And(-1 <
x,x < -u^2+1), y = u^2+x-1, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [-1/8, -1/8], [-7/8, -7/8], [0, 0]]]], [[11, 5, 6, 5, 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 = z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [1
, 1], [2, 2], [0, 0]]]], [[11, 10, 7, 1, 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], [-3, -3], [-1, -1]]]], [[11, 10, 7, 1, 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], [-3, -3], [0, 0]]]], [[11, 10, 7, 1, 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], [-3, -3], [1, 1]]]], [[1, 3, 4, 2, 1], [v <
-2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+
1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-\
129143/262144, -516571/1048576], [0, 0], [-2, -2]]]], [[1, 3, 4, 2, 2], [v < -
2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1
)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-\
129143/262144, -516571/1048576], [0, 0], [-735979/1048576, -1471957/2097152]]]
], [[1, 3, 4, 2, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^
2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain
, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-129143/262144, -516571/
1048576], [0, 0], [-1/4194304, -1/4194304]]]], [[1, 3, 4, 2, 4], [v < -2^(1/2)
, And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)]
, [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-129143/
262144, -516571/1048576], [0, 0], [367989/524288, 735979/1048576]]]], [[1, 3,
4, 2, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 0,
(u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549
/2097152], [-129143/262144, -516571/1048576], [0, 0], [2, 2]]]], [[1, 8, 2, 3,
1], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -1, And(-2 < y,y < 2), z = z], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1, -1], [0, 0], [0,
0]]]], [[2, 5, 1, 1, 1], [v = -2^(1/2), And(-1 < u,u < 0), x < -1, y < u^2+x-1
, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [
-2, -2], [-4, -4], [0, 0]]]], [[2, 9, 6, 2, 1], [v = -2^(1/2), And(1 < u,u < -
v), x = 1, y = -u^2, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [1265743/1048576, 1265743/1048576], [1, 1], [-1527887/1048576
, -763943/524288], [-2, -2]]]], [[2, 9, 6, 2, 2], [v = -2^(1/2), And(1 < u,u <
-v), x = 1, y = -u^2, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [1265743/1048576, 1265743/1048576], [1, 1], [-1527887/1048576
, -763943/524288], [-1417877/2097152, -354469/524288]]]], [[2, 9, 6, 2, 3], [v
= -2^(1/2), And(1 < u,u < -v), x = 1, y = -u^2, And(-(u^2-1)^(1/2) < z,z < (u^
2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [1, 1], [-1527887/1048576, -763943/524288], [0, 0]]
]], [[2, 9, 6, 2, 4], [v = -2^(1/2), And(1 < u,u < -v), x = 1, y = -u^2, z = (
u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [1, 1], [-1527887/1048576, -763943/524288], [354469
/524288, 708939/1048576]]]], [[2, 9, 6, 2, 5], [v = -2^(1/2), And(1 < u,u < -v
), x = 1, y = -u^2, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [1, 1], [-1527887/1048576,
-763943/524288], [2, 2]]]], [[4, 4, 2, 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, 4
, 2, 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, 4, 2, 4, 3], [v = -1, u = 0, x = -1,
y = 1, 0 < z], [regular_chain, [[-1, -1], [0, 0], [-1, -1], [1, 1], [1, 1]]]],
[[5, 1, 7, 5, 1], [And(-1 < v,v < 0), u < v, 1 < x, u^2-v^2+x+1 < y, z < -(u^2
-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [2, 2], [8, 8], [-4,
-4]]]], [[5, 1, 7, 5, 2], [And(-1 < v,v < 0), u < v, 1 < x, u^2-v^2+x+1 < y, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [2, 2], [8, 8]
, [-2285319/1048576, -1142659/524288]]]], [[5, 1, 7, 5, 3], [And(-1 < v,v < 0)
, u < v, 1 < x, u^2-v^2+x+1 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1
/2))], [regular_chain, [[-1/2, -1/2], [-2, -2], [2, 2], [8, 8], [0, 0]]]], [[5
, 1, 7, 5, 4], [And(-1 < v,v < 0), u < v, 1 < x, u^2-v^2+x+1 < y, z = (u^2-v^2
+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [2, 2], [8, 8], [1142659/
524288, 2285319/1048576]]]], [[5, 1, 7, 5, 5], [And(-1 < v,v < 0), u < v, 1 <
x, u^2-v^2+x+1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-2
, -2], [2, 2], [8, 8], [4, 4]]]], [[7, 4, 1, 3, 1], [And(0 < v,v < 1), u = v,
x < -1, And(x+1 < y,y < -1-x), z < -1], [regular_chain, [[1/2, 1/2], [1/2, 1/2
], [-2, -2], [0, 0], [-2, -2]]]], [[7, 4, 1, 3, 2], [And(0 < v,v < 1), u = v,
x < -1, And(x+1 < y,y < -1-x), z = -1], [regular_chain, [[1/2, 1/2], [1/2, 1/2
], [-2, -2], [0, 0], [-1, -1]]]], [[7, 4, 1, 3, 3], [And(0 < v,v < 1), u = v,
x < -1, And(x+1 < y,y < -1-x), And(-1 < z,z < 1)], [regular_chain, [[1/2, 1/2]
, [1/2, 1/2], [-2, -2], [0, 0], [0, 0]]]], [[7, 4, 1, 3, 4], [And(0 < v,v < 1)
, u = v, x < -1, And(x+1 < y,y < -1-x), z = 1], [regular_chain, [[1/2, 1/2], [
1/2, 1/2], [-2, -2], [0, 0], [1, 1]]]], [[7, 4, 1, 3, 5], [And(0 < v,v < 1), u
= v, x < -1, And(x+1 < y,y < -1-x), 1 < z], [regular_chain, [[1/2, 1/2], [1/2,
1/2], [-2, -2], [0, 0], [2, 2]]]], [[8, 4, 1, 4, 1], [v = 1, u = 0, x < -1, y
= -x, z < 0], [regular_chain, [[1, 1], [0, 0], [-2, -2], [2, 2], [-1, -1]]]],
[[8, 4, 1, 4, 2], [v = 1, u = 0, x < -1, y = -x, z = 0], [regular_chain, [[1,
1], [0, 0], [-2, -2], [2, 2], [0, 0]]]], [[8, 4, 1, 4, 3], [v = 1, u = 0, x <
-1, y = -x, 0 < z], [regular_chain, [[1, 1], [0, 0], [-2, -2], [2, 2], [1, 1]]
]], [[11, 1, 1, 3, 1], [2^(1/2) < v, u < -v, x < -u^2+v^2-1, And(u^2-v^2+x+1 <
y,y < -u^2+v^2-x-1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4
], [-9, -9], [0, 0], [-4, -4]]]], [[11, 1, 1, 3, 2], [2^(1/2) < v, u < -v, x <
-u^2+v^2-1, And(u^2-v^2+x+1 < y,y < -u^2+v^2-x-1), z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-4, -4], [-9, -9], [0, 0], [-2965821/1048576, -\
11863283/4194304]]]], [[11, 1, 1, 3, 3], [2^(1/2) < v, u < -v, x < -u^2+v^2-1,
And(u^2-v^2+x+1 < y,y < -u^2+v^2-x-1), And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2
+1)^(1/2))], [regular_chain, [[3, 3], [-4, -4], [-9, -9], [0, 0], [-3/8388608,
-3/8388608]]]], [[11, 1, 1, 3, 4], [2^(1/2) < v, u < -v, x < -u^2+v^2-1, And(u
^2-v^2+x+1 < y,y < -u^2+v^2-x-1), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3,
3], [-4, -4], [-9, -9], [0, 0], [741455/262144, 2965821/1048576]]]], [[11, 1,
1, 3, 5], [2^(1/2) < v, u < -v, x < -u^2+v^2-1, And(u^2-v^2+x+1 < y,y < -u^2+v
^2-x-1), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-4, -4], [-9, -9],
[0, 0], [4, 4]]]], [[11, 5, 6, 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]]]], [[1, 13, 2, 3, 1], [v < -2^(1/2), -v < u, x = -u^2+v^2-1, 0 < y, z
< -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [-8, -8], [1, 1], [-\
4, -4]]]], [[1, 13, 2, 3, 2], [v < -2^(1/2), -v < u, x = -u^2+v^2-1, 0 < y, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [-8, -8], [1, 1], [-\
2965821/1048576, -11863283/4194304]]]], [[1, 13, 2, 3, 3], [v < -2^(1/2), -v <
u, x = -u^2+v^2-1, 0 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))],
[regular_chain, [[-3, -3], [4, 4], [-8, -8], [1, 1], [-3/8388608, -3/8388608]]
]], [[1, 13, 2, 3, 4], [v < -2^(1/2), -v < u, x = -u^2+v^2-1, 0 < y, z = (u^2-
v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [-8, -8], [1, 1], [741455/
262144, 2965821/1048576]]]], [[1, 13, 2, 3, 5], [v < -2^(1/2), -v < u, x = -u^
2+v^2-1, 0 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [4, 4], [-8
, -8], [1, 1], [4, 4]]]], [[2, 4, 7, 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, 4, 7, 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, 4, 7, 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]]]], [[3, 3, 6, 4, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -
(v^2-1)^(1/2)), x = 1, y = u^2-v^2+2, z < -(u^2-v^2+1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [
1, 1], [749473/524288, 1498947/1048576], [-2, -2]]]], [[3, 3, 6, 4, 2], [And(-
2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = u^2-v^2+2, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [1, 1], [749473/524288, 1498947/1048576],
[-1374407/2097152, -687203/1048576]]]], [[3, 3, 6, 4, 3], [And(-2^(1/2) < v,v
< -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = u^2-v^2+2, And(-(u^2-v^2+1)^(
1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [749473/524288, 
1498947/1048576], [0, 0]]]], [[3, 3, 6, 4, 4], [And(-2^(1/2) < v,v < -1), And(
v < u,u < -(v^2-1)^(1/2)), x = 1, y = u^2-v^2+2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [749473/524288, 1498947/1048576], [687203/1048576, 
171801/262144]]]], [[3, 3, 6, 4, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u <
-(v^2-1)^(1/2)), x = 1, y = u^2-v^2+2, (u^2-v^2+1)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [
1, 1], [749473/524288, 1498947/1048576], [2, 2]]]], [[3, 8, 2, 3, 1], [And(-2^
(1/2) < v,v < -1), u = -v, x = -1, 0 < y, z < -1], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [1,
1], [-2, -2]]]], [[3, 8, 2, 3, 2], [And(-2^(1/2) < v,v < -1), u = -v, x = -1,
0 < y, z = -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [-1, -1], [1, 1], [-1, -1]]]], [[3, 8, 2, 3
, 3], [And(-2^(1/2) < v,v < -1), u = -v, x = -1, 0 < y, And(-1 < z,z < 1)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-1, -1], [1, 1], [0, 0]]]], [[3, 8, 2, 3, 4], [And(-2^(1/2)
< v,v < -1), u = -v, x = -1, 0 < y, z = 1], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [1, 1], [1,
1]]]], [[3, 8, 2, 3, 5], [And(-2^(1/2) < v,v < -1), u = -v, x = -1, 0 < y, 1 <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-1, -1], [1, 1], [2, 2]]]], [[6, 1, 7, 5, 1], [v = 0, u < 0
, 1 < x, u^2+x+1 < y, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1],
[2, 2], [5, 5], [-3, -3]]]], [[6, 1, 7, 5, 2], [v = 0, u < 0, 1 < x, u^2+x+1 <
y, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [2, 2], [5, 5], [-\
1482911/1048576, -741455/524288]]]], [[6, 1, 7, 5, 3], [v = 0, u < 0, 1 < x, u
^2+x+1 < y, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0
], [-1, -1], [2, 2], [5, 5], [0, 0]]]], [[6, 1, 7, 5, 4], [v = 0, u < 0, 1 < x
, u^2+x+1 < y, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [2, 2],
[5, 5], [741455/524288, 1482911/1048576]]]], [[6, 1, 7, 5, 5], [v = 0, u < 0,
1 < x, u^2+x+1 < y, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [2,
2], [5, 5], [3, 3]]]], [[7, 4, 1, 1, 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], [-2, -2], [-2
, -2]]]], [[7, 4, 1, 1, 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], [-2, -2], [-1, -1]]]], [[
7, 4, 1, 1, 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], [-2, -2], [0, 0]]]], [[7, 4
, 1, 1, 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], [-2, -2], [1, 1]]]], [[7, 4, 1, 1, 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], [-2, -2], [2, 2]]]], [[9, 1, 7, 1, 1], [And(1 < v,v < 2^(1
/2)), 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], [-3, -3], [2, 2], [-12, -12], [-4, -4]]
]], [[9, 1, 7, 1, 2], [And(1 < v,v < 2^(1/2)), 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]
, [-3, -3], [2, 2], [-12, -12], [-1532401/524288, -24518415/8388608]]]], [[9,
1, 7, 1, 3], [And(1 < v,v < 2^(1/2)), 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], [-3, -3], [2, 2], [-12, -12], [-7/16777216, -7/16777216]]]
], [[9, 1, 7, 1, 4], [And(1 < v,v < 2^(1/2)), 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], [
-3, -3], [2, 2], [-12, -12], [3064801/1048576, 1532401/524288]]]], [[9, 1, 7,
1, 5], [And(1 < v,v < 2^(1/2)), 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], [-3, -3], [2,
2], [-12, -12], [4, 4]]]], [[9, 6, 5, 2, 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, 6, 5, 2, 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, 6, 5, 2, 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]]]], [[10, 2,
3, 2, 1], [v = 2^(1/2), u = -v, And(-1 < x,x < 1), y = -1-x, z < -1], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [0, 0], [-1, -1], [-2, -2]]]], [[10, 2, 3, 2, 2], [v = 2^(1/2), u = -
v, And(-1 < x,x < 1), y = -1-x, z = -1], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [0, 0], [-1, -1], [-1, -\
1]]]], [[10, 2, 3, 2, 3], [v = 2^(1/2), u = -v, And(-1 < x,x < 1), y = -1-x, 
And(-1 < z,z < 1)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [0, 0], [-1, -1], [0, 0]]]], [[10, 2, 3, 2,
4], [v = 2^(1/2), u = -v, And(-1 < x,x < 1), y = -1-x, z = 1], [regular_chain,
[[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [0, 0],
[-1, -1], [1, 1]]]], [[10, 2, 3, 2, 5], [v = 2^(1/2), u = -v, And(-1 < x,x < 1
), y = -1-x, 1 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [0, 0], [-1, -1], [2, 2]]]], [[10, 7, 3, 1,
1], [v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x < -u^2+1), y < u^2+x-1, z = z
], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1/8, -1/8]
, [-2, -2], [0, 0]]]], [[11, 5, 7, 1, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u
,u < -(v^2-2)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z = z], [regular_chain, [[3, 3]
, [-22960369/8388608, -22960369/8388608], [2, 2], [-3, -3], [0, 0]]]], [[11, 
10, 7, 2, 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, 10, 7, 2, 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, 10, 7, 2, 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]]]], [[1, 3, 4, 1, 1], [v < -2^(1/2), And(v < u,u < -(v^2-\
1)^(1/2)), x = -u^2+v^2-1, y < 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
3, -3], [-6111549/2097152, -6111549/2097152], [-129143/262144, -516571/1048576
], [-1, -1], [-2, -2]]]], [[1, 3, 4, 1, 2], [v < -2^(1/2), And(v < u,u < -(v^2
-1)^(1/2)), x = -u^2+v^2-1, y < 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[
-3, -3], [-6111549/2097152, -6111549/2097152], [-129143/262144, -516571/
1048576], [-1, -1], [-735979/1048576, -1471957/2097152]]]], [[1, 3, 4, 1, 3],
[v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y < 0, And(-(u^2
-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-129143/262144, -516571/1048576], [-1, -1
], [-1/4194304, -1/4194304]]]], [[1, 3, 4, 1, 4], [v < -2^(1/2), And(v < u,u <
-(v^2-1)^(1/2)), x = -u^2+v^2-1, y < 0, z = (u^2-v^2+1)^(1/2)], [regular_chain
, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-129143/262144, -516571/
1048576], [-1, -1], [367989/524288, 735979/1048576]]]], [[1, 3, 4, 1, 5], [v <
-2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y < 0, (u^2-v^2+1)^(1
/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-\
129143/262144, -516571/1048576], [-1, -1], [2, 2]]]], [[1, 8, 2, 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]]]], [[2, 5, 1, 2, 1]
, [v = -2^(1/2), And(-1 < u,u < 0), x < -1, y = u^2+x-1, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-2, -2], [-\
11/4, -11/4], [0, 0]]]], [[2, 9, 6, 3, 1], [v = -2^(1/2), And(1 < u,u < -v), x
= 1, And(-u^2 < y,y < u^2), z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [1, 1], [0, 0],
[-2, -2]]]], [[2, 9, 6, 3, 2], [v = -2^(1/2), And(1 < u,u < -v), x = 1, And(-u
^2 < y,y < u^2), z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [1, 1], [0, 0], [-1417877/
2097152, -354469/524288]]]], [[2, 9, 6, 3, 3], [v = -2^(1/2), And(1 < u,u < -v
), x = 1, And(-u^2 < y,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], [0, 0], [0, 0]]]], [[2, 9, 6, 3, 4], [v = -2^(1/2), And(1 <
u,u < -v), x = 1, And(-u^2 < y,y < u^2), z = (u^2-1)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [1, 1]
, [0, 0], [354469/524288, 708939/1048576]]]], [[2, 9, 6, 3, 5], [v = -2^(1/2),
And(1 < u,u < -v), x = 1, And(-u^2 < y,y < u^2), (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [1, 1], [0, 0], [2, 2]]]], [[4, 4, 2, 3, 1], [v = -1, u = 0, x = -1,
And(-1 < y,y < 1), z < 0], [regular_chain, [[-1, -1], [0, 0], [-1, -1], [0, 0]
, [-1, -1]]]], [[4, 4, 2, 3, 2], [v = -1, u = 0, x = -1, And(-1 < y,y < 1), z
= 0], [regular_chain, [[-1, -1], [0, 0], [-1, -1], [0, 0], [0, 0]]]], [[4, 4,
2, 3, 3], [v = -1, u = 0, x = -1, And(-1 < y,y < 1), 0 < z], [regular_chain, [
[-1, -1], [0, 0], [-1, -1], [0, 0], [1, 1]]]], [[5, 1, 7, 4, 1], [And(-1 < v,v
< 0), 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], [-2, -2], [2, 2], [27/4, 27/4], [-4, -4]]]], [[5, 1, 7, 4, 2],
[And(-1 < v,v < 0), 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], [-2, -2], [2, 2], [27/4, 27/4], [-2285319/
1048576, -1142659/524288]]]], [[5, 1, 7, 4, 3], [And(-1 < v,v < 0), 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], [-2, -2], [2, 2], [27/4, 27/4], [0, 0]]]], [[5,
1, 7, 4, 4], [And(-1 < v,v < 0), 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], [-2, -2], [2, 2], [27/4, 27/4], [
1142659/524288, 2285319/1048576]]]], [[5, 1, 7, 4, 5], [And(-1 < v,v < 0), 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], [-2, -2], [2, 2], [27/4, 27/4], [4, 4]]]], [[7, 4, 1, 4, 1], [And(0 < v,v
< 1), u = v, x < -1, y = -1-x, z < -1], [regular_chain, [[1/2, 1/2], [1/2, 1/2
], [-2, -2], [1, 1], [-2, -2]]]], [[7, 4, 1, 4, 2], [And(0 < v,v < 1), u = v,
x < -1, y = -1-x, z = -1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2],
[1, 1], [-1, -1]]]], [[7, 4, 1, 4, 3], [And(0 < v,v < 1), u = v, x < -1, y = -\
1-x, And(-1 < z,z < 1)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2], [1
, 1], [0, 0]]]], [[7, 4, 1, 4, 4], [And(0 < v,v < 1), u = v, x < -1, y = -1-x,
z = 1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2], [1, 1], [1, 1]]]],
[[7, 4, 1, 4, 5], [And(0 < v,v < 1), u = v, x < -1, y = -1-x, 1 < z], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2], [1, 1], [2, 2]]]], [[8, 4, 1
, 5, 1], [v = 1, u = 0, x < -1, -x < y, z < 0], [regular_chain, [[1, 1], [0, 0
], [-2, -2], [3, 3], [-1, -1]]]], [[8, 4, 1, 5, 2], [v = 1, u = 0, x < -1, -x
< y, z = 0], [regular_chain, [[1, 1], [0, 0], [-2, -2], [3, 3], [0, 0]]]], [[8
, 4, 1, 5, 3], [v = 1, u = 0, x < -1, -x < y, 0 < z], [regular_chain, [[1, 1],
[0, 0], [-2, -2], [3, 3], [1, 1]]]], [[11, 1, 1, 2, 1], [2^(1/2) < v, 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], [-4, -4], [-9, -9], [-1, -1], [-4, -4]]]], [[11, 1, 1, 2, 2], [2^(1/2) < v
, 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], [-4, -4], [-9, -9], [-1, -1], [-2965821/1048576, -\
11863283/4194304]]]], [[11, 1, 1, 2, 3], [2^(1/2) < v, 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], [-4, -4], [-9, -9], [-1, -1], [-3/8388608, -3/8388608]
]]], [[11, 1, 1, 2, 4], [2^(1/2) < v, 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], [-4, -4], [-9, -9], [-1, -1],
[741455/262144, 2965821/1048576]]]], [[11, 1, 1, 2, 5], [2^(1/2) < v, 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], [-4, -4], [-9, -9], [-1, -1], [4, 4]]]], [[11, 5, 6, 3, 1], [2^(1/2) < v,
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < u^2-
v^2+2), z = z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608
], [1, 1], [0, 0], [0, 0]]]], [[1, 13, 3, 3, 1], [v < -2^(1/2), -v < u, And(-u
^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^
(1/2)], [regular_chain, [[-3, -3], [4, 4], [-9/2, -9/2], [0, 0], [-4, -4]]]],
[[1, 13, 3, 3, 2], [v < -2^(1/2), -v < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2
+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3,
-3], [4, 4], [-9/2, -9/2], [0, 0], [-2965821/1048576, -11863283/4194304]]]], [
[1, 13, 3, 3, 3], [v < -2^(1/2), -v < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+
v^2-x-1 < y,y < u^2-v^2+x+1), And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2)
)], [regular_chain, [[-3, -3], [4, 4], [-9/2, -9/2], [0, 0], [-3/8388608, -3/
8388608]]]], [[1, 13, 3, 3, 4], [v < -2^(1/2), -v < u, And(-u^2+v^2-1 < x,x <
-1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [4, 4], [-9/2, -9/2], [0, 0], [741455/262144, 
2965821/1048576]]]], [[1, 13, 3, 3, 5], [v < -2^(1/2), -v < u, And(-u^2+v^2-1
< x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [4, 4], [-9/2, -9/2], [0, 0], [4, 4]]]], [[2, 4, 7,
3, 1], [v = -2^(1/2), u = -1, 1 < x, And(-x < y,y < x), z < 0], [regular_chain
, [[-1482911/1048576, -741455/524288], [-1, -1], [2, 2], [0, 0], [-1, -1]]]],
[[2, 4, 7, 3, 2], [v = -2^(1/2), u = -1, 1 < x, And(-x < y,y < x), z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [2, 2], [0, 0],
[0, 0]]]], [[2, 4, 7, 3, 3], [v = -2^(1/2), u = -1, 1 < x, And(-x < y,y < x),
0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [2, 2],
[0, 0], [1, 1]]]], [[3, 3, 6, 5, 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 < -(u^2-v^2+1)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304],
[1, 1], [3, 3], [-2, -2]]]], [[3, 3, 6, 5, 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 = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [3, 3], [-1374407/2097152, -687203/1048576]]]], [[3,
3, 6, 5, 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(-(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], [3, 3], [0, 0]]]], [[3, 3, 6, 5, 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 = (u^2-v^2+1
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [1, 1], [3, 3], [687203/1048576, 171801/262144]]]]
, [[3, 3, 6, 5, 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, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [3,
3], [2, 2]]]], [[3, 8, 1, 5, 1], [And(-2^(1/2) < v,v < -1), u = -v, x < -1, -1
-x < y, z < -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [-2, -2], [2, 2], [-2, -2]]]], [[3, 8, 1, 5
, 2], [And(-2^(1/2) < v,v < -1), u = -v, x < -1, -1-x < y, z = -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-2, -2], [2, 2], [-1, -1]]]], [[3, 8, 1, 5, 3], [And(-2^(1/
2) < v,v < -1), u = -v, x < -1, -1-x < y, And(-1 < z,z < 1)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-2
, -2], [2, 2], [0, 0]]]], [[3, 8, 1, 5, 4], [And(-2^(1/2) < v,v < -1), u = -v,
x < -1, -1-x < y, z = 1], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [1265743/1048576, 1265743/1048576], [-2, -2], [2, 2], [1, 1]]]], [[3, 8, 1,
5, 5], [And(-2^(1/2) < v,v < -1), u = -v, x < -1, -1-x < y, 1 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-2, -2], [2, 2], [2, 2]]]], [[6, 2, 1, 3, 1], [v = 0, u = 0
, x < -1, And(x+1 < y,y < -1-x), z < -1], [regular_chain, [[0, 0], [0, 0], [-2
, -2], [0, 0], [-2, -2]]]], [[6, 2, 1, 3, 2], [v = 0, u = 0, x < -1, And(x+1 <
y,y < -1-x), z = -1], [regular_chain, [[0, 0], [0, 0], [-2, -2], [0, 0], [-1,
-1]]]], [[6, 2, 1, 3, 3], [v = 0, u = 0, x < -1, And(x+1 < y,y < -1-x), And(-1
< z,z < 1)], [regular_chain, [[0, 0], [0, 0], [-2, -2], [0, 0], [0, 0]]]], [[6
, 2, 1, 3, 4], [v = 0, u = 0, x < -1, And(x+1 < y,y < -1-x), z = 1], [
regular_chain, [[0, 0], [0, 0], [-2, -2], [0, 0], [1, 1]]]], [[6, 2, 1, 3, 5],
[v = 0, u = 0, x < -1, And(x+1 < y,y < -1-x), 1 < z], [regular_chain, [[0, 0],
[0, 0], [-2, -2], [0, 0], [2, 2]]]], [[7, 3, 7, 5, 1], [And(0 < v,v < 1), And(
-v < u,u < v), 1 < x, u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain
, [[1/2, 1/2], [0, 0], [2, 2], [4, 4], [-2, -2]]]], [[7, 3, 7, 5, 2], [And(0 <
v,v < 1), And(-v < u,u < v), 1 < x, u^2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1/2)],
[regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [4, 4], [-1816187/2097152, -\
3632373/4194304]]]], [[7, 3, 7, 5, 3], [And(0 < v,v < 1), And(-v < u,u < v), 1
< x, u^2-v^2+x+1 < y, 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], [4, 4], [-1/8388608, -1/8388608]]]
], [[7, 3, 7, 5, 4], [And(0 < v,v < 1), And(-v < u,u < v), 1 < x, u^2-v^2+x+1
< y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [4,
4], [908093/1048576, 454047/524288]]]], [[7, 3, 7, 5, 5], [And(0 < v,v < 1), 
And(-v < u,u < v), 1 < x, u^2-v^2+x+1 < y, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [4, 4], [2, 2]]]], [[9, 1, 7, 2, 1
], [And(1 < v,v < 2^(1/2)), 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], [-3, -3], [2, 2],
[-5527513/524288, -11055025/1048576], [-4, -4]]]], [[9, 1, 7, 2, 2], [And(1 <
v,v < 2^(1/2)), 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], [-3, -3], [2, 2], [-\
5527513/524288, -11055025/1048576], [-1532401/524288, -24518415/8388608]]]], [
[9, 1, 7, 2, 3], [And(1 < v,v < 2^(1/2)), 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], [-3, -3], [2, 2], [-5527513/524288, -11055025/
1048576], [-7/16777216, -7/16777216]]]], [[9, 1, 7, 2, 4], [And(1 < v,v < 2^(1
/2)), 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], [-3, -3], [2, 2], [-5527513/524288, -\
11055025/1048576], [3064801/1048576, 1532401/524288]]]], [[9, 1, 7, 2, 5], [
And(1 < v,v < 2^(1/2)), 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], [-3, -3], [2, 2], [-\
5527513/524288, -11055025/1048576], [4, 4]]]], [[9, 6, 4, 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, 6, 4, 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, 6, 4, 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]]]], [[10, 2, 3, 5, 1], [v = 2^(1/2), u = -v, And(-1 < x,x < 1), x
+1 < y, z < -1], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/
1048576, -741455/524288], [0, 0], [2, 2], [-2, -2]]]], [[10, 2, 3, 5, 2], [v =
2^(1/2), u = -v, And(-1 < x,x < 1), x+1 < y, z = -1], [regular_chain, [[741455
/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [0, 0], [2, 2],
[-1, -1]]]], [[10, 2, 3, 5, 3], [v = 2^(1/2), u = -v, And(-1 < x,x < 1), x+1 <
y, And(-1 < z,z < 1)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [0, 0], [2, 2], [0, 0]]]], [[10, 2, 3, 5, 4]
, [v = 2^(1/2), u = -v, And(-1 < x,x < 1), x+1 < y, z = 1], [regular_chain, [[
741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [0, 0], [
2, 2], [1, 1]]]], [[10, 2, 3, 5, 5], [v = 2^(1/2), u = -v, And(-1 < x,x < 1),
x+1 < y, 1 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/
1048576, -741455/524288], [0, 0], [2, 2], [2, 2]]]], [[10, 7, 2, 5, 1], [v = 2
^(1/2), And(0 < u,u < 1), x = -1, -u^2+2 < y, z = z], [regular_chain, [[741455
/524288, 1482911/1048576], [1/2, 1/2], [-1, -1], [3, 3], [0, 0]]]], [[11, 5, 7
, 2, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, y =
-u^2+v^2-x-1, z = z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [2, 2], [-1564117/1048576, -391029/262144], [0, 0]]]], [[11, 10, 6,
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,
10, 6, 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, 10, 6, 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]]]], [[1, 3, 5, 1, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And
(-u^2+v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [532005/
2097152, 532005/2097152], [-2, -2], [-2, -2]]]], [[1, 3, 5, 1, 2], [v < -2^(1/
2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y < -u^2+v^2-x-1
, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [532005/2097152, 532005/2097152], [-2, -2], [-735979/1048576
, -1471957/2097152]]]], [[1, 3, 5, 1, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1
)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y < -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2)
< z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [532005/2097152, 532005/2097152], [-2, -2], [-1/4194304, -1/
4194304]]]], [[1, 3, 5, 1, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 
And(-u^2+v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [532005/
2097152, 532005/2097152], [-2, -2], [367989/524288, 735979/1048576]]]], [[1, 3
, 5, 1, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x
< 1), y < -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [532005/2097152, 532005/2097152], [-2, -2]
, [2, 2]]]], [[1, 8, 2, 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]]]], [[2, 5, 1, 3, 1], [v = -2^(1/2), And(-1 < u,u < 0), x < -\
1, And(u^2+x-1 < y,y < -u^2-x+1), z = z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1/2, -1/2], [-2, -2], [0, 0], [0, 0]]]], [[2, 9, 5, 5, 1],
[v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 1), u^2+x-1 < y, z < -(u^
2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [284633/1048576, 284633/1048576], [2, 2], [-2, -2]]
]], [[2, 9, 5, 5, 2], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 1),
u^2+x-1 < y, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [284633/1048576, 284633/1048576],
[2, 2], [-1417877/2097152, -354469/524288]]]], [[2, 9, 5, 5, 3], [v = -2^(1/2)
, And(1 < u,u < -v), And(-u^2+1 < x,x < 1), u^2+x-1 < y, And(-(u^2-1)^(1/2) <
z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [284633/1048576, 284633/1048576], [2, 2], [
0, 0]]]], [[2, 9, 5, 5, 4], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x
< 1), u^2+x-1 < y, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [284633/1048576, 284633/
1048576], [2, 2], [354469/524288, 708939/1048576]]]], [[2, 9, 5, 5, 5], [v = -
2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 1), u^2+x-1 < y, (u^2-1)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 
1265743/1048576], [284633/1048576, 284633/1048576], [2, 2], [2, 2]]]], [[4, 4,
3, 1, 1], [v = -1, u = 0, And(-1 < x,x < 0), y < x, z < 0], [regular_chain, [[
-1, -1], [0, 0], [-1/2, -1/2], [-2, -2], [-1, -1]]]], [[4, 4, 3, 1, 2], [v = -\
1, u = 0, And(-1 < x,x < 0), y < x, z = 0], [regular_chain, [[-1, -1], [0, 0],
[-1/2, -1/2], [-2, -2], [0, 0]]]], [[4, 4, 3, 1, 3], [v = -1, u = 0, And(-1 <
x,x < 0), y < x, 0 < z], [regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [-2,
-2], [1, 1]]]], [[5, 1, 7, 3, 1], [And(-1 < v,v < 0), u < v, 1 < x, And(-u^2+v
^2-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2,
-1/2], [-2, -2], [2, 2], [0, 0], [-4, -4]]]], [[5, 1, 7, 3, 2], [And(-1 < v,v
< 0), u < v, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1
/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [2, 2], [0, 0], [-2285319/
1048576, -1142659/524288]]]], [[5, 1, 7, 3, 3], [And(-1 < v,v < 0), u < v, 1 <
x, And(-u^2+v^2-x-1 < y,y < u^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], [-2, -2], [2, 2], [0, 0], [0, 0
]]]], [[5, 1, 7, 3, 4], [And(-1 < v,v < 0), u < v, 1 < x, And(-u^2+v^2-x-1 < y
,y < u^2-v^2+x+1), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2,
-2], [2, 2], [0, 0], [1142659/524288, 2285319/1048576]]]], [[5, 1, 7, 3, 5], [
And(-1 < v,v < 0), u < v, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v
^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-2, -2], [2, 2], [0, 0], [4,
4]]]], [[7, 4, 1, 5, 1], [And(0 < v,v < 1), u = v, x < -1, -1-x < y, z < -1],
[regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2], [2, 2], [-2, -2]]]], [[7, 4
, 1, 5, 2], [And(0 < v,v < 1), u = v, x < -1, -1-x < y, z = -1], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2], [2, 2], [-1, -1]]]], [[7, 4,
1, 5, 3], [And(0 < v,v < 1), u = v, x < -1, -1-x < y, And(-1 < z,z < 1)], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2], [2, 2], [0, 0]]]], [[7, 4, 1
, 5, 4], [And(0 < v,v < 1), u = v, x < -1, -1-x < y, z = 1], [regular_chain, [
[1/2, 1/2], [1/2, 1/2], [-2, -2], [2, 2], [1, 1]]]], [[7, 4, 1, 5, 5], [And(0
< v,v < 1), u = v, x < -1, -1-x < y, 1 < z], [regular_chain, [[1/2, 1/2], [1/2
, 1/2], [-2, -2], [2, 2], [2, 2]]]], [[8, 4, 1, 2, 1], [v = 1, u = 0, x < -1,
y = x, z < 0], [regular_chain, [[1, 1], [0, 0], [-2, -2], [-2, -2], [-1, -1]]]
], [[8, 4, 1, 2, 2], [v = 1, u = 0, x < -1, y = x, z = 0], [regular_chain, [[1
, 1], [0, 0], [-2, -2], [-2, -2], [0, 0]]]], [[8, 4, 1, 2, 3], [v = 1, u = 0,
x < -1, y = x, 0 < z], [regular_chain, [[1, 1], [0, 0], [-2, -2], [-2, -2], [1
, 1]]]], [[11, 1, 1, 5, 1], [2^(1/2) < v, u < -v, x < -u^2+v^2-1, -u^2+v^2-x-1
< y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [-9, -9], [2,
2], [-4, -4]]]], [[11, 1, 1, 5, 2], [2^(1/2) < v, u < -v, x < -u^2+v^2-1, -u^2
+v^2-x-1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [-9,
-9], [2, 2], [-2965821/1048576, -11863283/4194304]]]], [[11, 1, 1, 5, 3], [2^(
1/2) < v, u < -v, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, And(-(u^2-v^2+1)^(1/2) < z
,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [-4, -4], [-9, -9], [2, 2],
[-3/8388608, -3/8388608]]]], [[11, 1, 1, 5, 4], [2^(1/2) < v, u < -v, x < -u^2
+v^2-1, -u^2+v^2-x-1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4
, -4], [-9, -9], [2, 2], [741455/262144, 2965821/1048576]]]], [[11, 1, 1, 5, 5
], [2^(1/2) < v, u < -v, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, (u^2-v^2+1)^(1/2) <
z], [regular_chain, [[3, 3], [-4, -4], [-9, -9], [2, 2], [4, 4]]]], [[11, 5, 6
, 2, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, y =
-u^2+v^2-2, z = z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [1, 1], [-515541/1048576, -128885/262144], [0, 0]]]], [[1, 13, 3, 2,
1], [v < -2^(1/2), -v < 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], [4, 4], [-9/2, -9/2], [-7/2, -7
/2], [-4, -4]]]], [[1, 13, 3, 2, 2], [v < -2^(1/2), -v < 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]
, [4, 4], [-9/2, -9/2], [-7/2, -7/2], [-2965821/1048576, -11863283/4194304]]]]
, [[1, 13, 3, 2, 3], [v < -2^(1/2), -v < 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], [4, 4], [-9/2, -9/2], [-7/2, -7/2], [-3/8388608, -3/8388608]]]],
[[1, 13, 3, 2, 4], [v < -2^(1/2), -v < 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], [4, 4], [-9/2, -9
/2], [-7/2, -7/2], [741455/262144, 2965821/1048576]]]], [[1, 13, 3, 2, 5], [v
< -2^(1/2), -v < 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], [4, 4], [-9/2, -9/2], [-7/2, -7/2], [4,
4]]]], [[2, 4, 7, 2, 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, 4, 7, 2, 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, 4, 7, 2, 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]]]], [[3, 3, 7, 1, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2
-1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [
2, 2], [-4, -4], [-2, -2]]]], [[3, 3, 7, 1, 2], [And(-2^(1/2) < v,v < -1), And
(v < u,u < -(v^2-1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [-4, -4], [-1374407/2097152, -687203/1048576]]]], [[
3, 3, 7, 1, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 <
x, y < -u^2+v^2-x-1, And(-(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], [-4, -4], [0, 0]]]], [[3, 3, 7, 1, 4], [And(-2^(1/2)
< v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z = (u^2-
v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [2, 2], [-4, -4], [687203/1048576, 171801/
262144]]]], [[3, 3, 7, 1, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1
)^(1/2)), 1 < x, y < -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [2,
2], [-4, -4], [2, 2]]]], [[3, 8, 2, 1, 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], [-1, -1], [-2, -2]]]], [[3, 8, 2
, 1, 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], [-1, -1], [-1, -1]]]], [[3, 8, 2, 1, 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], [-1, -1], [0, 0]]]], [[3, 8, 2, 1, 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], [-1, -1], [1, 1]]]], [[3, 8, 2,
1, 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], [-1, -1], [2, 2]]]], [[6, 2, 1, 2, 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, 2, 1, 2, 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, 2, 1, 2,
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, 2, 1, 2, 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, 2, 1, 2, 5], [v = 0, u = 0, x < -1, y = x+1, 1 < z], [
regular_chain, [[0, 0], [0, 0], [-2, -2], [-1, -1], [2, 2]]]], [[7, 3, 7, 4, 1
], [And(0 < v,v < 1), And(-v < u,u < v), 1 < x, y = u^2-v^2+x+1, z < -(u^2-v^2
+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [11/4, 11/4], [-2, -2
]]]], [[7, 3, 7, 4, 2], [And(0 < v,v < 1), And(-v < u,u < v), 1 < x, y = u^2-v
^2+x+1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [2, 2],
[11/4, 11/4], [-1816187/2097152, -3632373/4194304]]]], [[7, 3, 7, 4, 3], [And(
0 < v,v < 1), And(-v < u,u < v), 1 < x, y = u^2-v^2+x+1, And(-(u^2-v^2+1)^(1/2
) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [
11/4, 11/4], [-1/8388608, -1/8388608]]]], [[7, 3, 7, 4, 4], [And(0 < v,v < 1),
And(-v < u,u < v), 1 < x, y = u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [11/4, 11/4], [908093/1048576, 
454047/524288]]]], [[7, 3, 7, 4, 5], [And(0 < v,v < 1), And(-v < u,u < v), 1 <
x, y = u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0
], [2, 2], [11/4, 11/4], [2, 2]]]], [[9, 1, 7, 3, 1], [And(1 < v,v < 2^(1/2)),
u < -v, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [2, 2], [0, 0],
[-4, -4]]]], [[9, 1, 7, 3, 2], [And(1 < v,v < 2^(1/2)), u < -v, 1 < x, And(-u^
2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [2, 2], [0, 0], [-1532401/524288,
-24518415/8388608]]]], [[9, 1, 7, 3, 3], [And(1 < v,v < 2^(1/2)), u < -v, 1 <
x, And(-u^2+v^2-x-1 < y,y < u^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],
[2, 2], [0, 0], [-7/16777216, -7/16777216]]]], [[9, 1, 7, 3, 4], [And(1 < v,v
< 2^(1/2)), u < -v, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2-v^2
+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [2,
2], [0, 0], [3064801/1048576, 1532401/524288]]]], [[9, 1, 7, 3, 5], [And(1 < v
,v < 2^(1/2)), u < -v, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+
1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3],
[2, 2], [0, 0], [4, 4]]]], [[9, 6, 4, 3, 1], [And(1 < v,v < 2^(1/2)), u = (v^2
-1)^(1/2), x = 0, 0 < y, z < 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [0, 0], [1, 1], [-1, -1]]]], [[9, 6
, 4, 3, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 0, 0 < y, z = 0],
[regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [0, 0], [1, 1], [0, 0]]]], [[9, 6, 4, 3, 3], [And(1 < v,v < 2^(1/2))
, u = (v^2-1)^(1/2), x = 0, 0 < y, 0 < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [354469/524288, 708939/1048576], [0, 0], [1, 1], [1, 1]]]],
[[10, 2, 3, 4, 1], [v = 2^(1/2), u = -v, And(-1 < x,x < 1), y = x+1, z < -1],
[regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [0, 0], [1, 1], [-2, -2]]]], [[10, 2, 3, 4, 2], [v = 2^(1/2), u = -v,
And(-1 < x,x < 1), y = x+1, z = -1], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [0, 0], [1, 1], [-1, -1]]]], [[
10, 2, 3, 4, 3], [v = 2^(1/2), u = -v, And(-1 < x,x < 1), y = x+1, And(-1 < z,
z < 1)], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576,
-741455/524288], [0, 0], [1, 1], [0, 0]]]], [[10, 2, 3, 4, 4], [v = 2^(1/2), u
= -v, And(-1 < x,x < 1), y = x+1, z = 1], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [0, 0], [1, 1], [1, 1]]]
], [[10, 2, 3, 4, 5], [v = 2^(1/2), u = -v, And(-1 < x,x < 1), y = x+1, 1 < z]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -\
741455/524288], [0, 0], [1, 1], [2, 2]]]], [[10, 7, 2, 4, 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]]]], [[11, 5, 7, 3,
1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, And(-u^2+
v^2-x-1 < y,y < u^2-v^2+x+1), z = z], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [2, 2], [0, 0], [0, 0]]]], [[11, 10, 6, 5, 1], [2
^(1/2) < v, u = (v^2-1)^(1/2), x = 1, 1 < y, z < 0], [regular_chain, [[3, 3],
[741455/262144, 2965821/1048576], [1, 1], [2, 2], [-1, -1]]]], [[11, 10, 6, 5,
2], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 1, 1 < y, z = 0], [regular_chain, [[3
, 3], [741455/262144, 2965821/1048576], [1, 1], [2, 2], [0, 0]]]], [[11, 10, 6
, 5, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 1, 1 < y, 0 < z], [regular_chain
, [[3, 3], [741455/262144, 2965821/1048576], [1, 1], [2, 2], [1, 1]]]], [[1, 3
, 4, 3, 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+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-129143/262144, -516571/1048576], [1, 1], [-2, -2]]]], [[1,
3, 4, 3, 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+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-129143/262144, -516571/1048576], [1, 1], [-735979/1048576,
-1471957/2097152]]]], [[1, 3, 4, 3, 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+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2
))], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-129143
/262144, -516571/1048576], [1, 1], [-1/4194304, -1/4194304]]]], [[1, 3, 4, 3,
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+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-129143/262144, -516571/1048576], [1, 1], [367989/524288, 735979/
1048576]]]], [[1, 3, 4, 3, 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+1)^(1/2) < z], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-129143/262144, -516571/1048576], [1, 1],
[2, 2]]]], [[1, 8, 1, 5, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x < -1, -x+1 <
y, z = z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-2, -2],
[4, 4], [0, 0]]]], [[2, 5, 1, 4, 1], [v = -2^(1/2), And(-1 < u,u < 0), x < -1,
y = -u^2-x+1, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1
/2, -1/2], [-2, -2], [11/4, 11/4], [0, 0]]]], [[2, 9, 6, 1, 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],
[-3, -3], [-2, -2]]]], [[2, 9, 6, 1, 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], [-3, -3], [-1417877/
2097152, -354469/524288]]]], [[2, 9, 6, 1, 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], [-3, -3], [0, 0]]]], [[2, 9, 6, 1, 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], [-3, -3], [354469/524288
, 708939/1048576]]]], [[2, 9, 6, 1, 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], [-3, -3], [2, 2]]]], [[4,
4, 2, 5, 1], [v = -1, u = 0, x = -1, 1 < y, z < 0], [regular_chain, [[-1, -1],
[0, 0], [-1, -1], [2, 2], [-1, -1]]]], [[4, 4, 2, 5, 2], [v = -1, u = 0, x = -\
1, 1 < y, z = 0], [regular_chain, [[-1, -1], [0, 0], [-1, -1], [2, 2], [0, 0]]
]], [[4, 4, 2, 5, 3], [v = -1, u = 0, x = -1, 1 < y, 0 < z], [regular_chain, [
[-1, -1], [0, 0], [-1, -1], [2, 2], [1, 1]]]], [[5, 1, 7, 2, 1], [And(-1 < v,v
< 0), 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], [-2, -2], [2, 2], [-27/4, -27/4], [-4, -4]]]], [[5, 1, 7, 2, 2]
, [And(-1 < v,v < 0), 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], [-2, -2], [2, 2], [-27/4, -27/4], [-2285319/
1048576, -1142659/524288]]]], [[5, 1, 7, 2, 3], [And(-1 < v,v < 0), 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], [-2, -2], [2, 2], [-27/4, -27/4], [0, 0]]]], [[5
, 1, 7, 2, 4], [And(-1 < v,v < 0), 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], [-2, -2], [2, 2], [-27/4, -27/4],
[1142659/524288, 2285319/1048576]]]], [[5, 1, 7, 2, 5], [And(-1 < v,v < 0), 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], [-2, -2], [2, 2], [-27/4, -27/4], [4, 4]]]], [[7, 4, 2, 1, 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], [-1, -1], [-2, -2]]]], [[7, 4, 2, 1, 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],
[-1, -1], [-1, -1]]]], [[7, 4, 2, 1, 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], [-1,
-1], [0, 0]]]], [[7, 4, 2, 1, 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], [-1, -1], [1, 1]]]], [[
7, 4, 2, 1, 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], [-1, -1], [2, 2]]]], [[8, 4,
1, 3, 1], [v = 1, u = 0, x < -1, And(x < y,y < -x), z < 0], [regular_chain, [[
1, 1], [0, 0], [-2, -2], [0, 0], [-1, -1]]]], [[8, 4, 1, 3, 2], [v = 1, u = 0,
x < -1, And(x < y,y < -x), z = 0], [regular_chain, [[1, 1], [0, 0], [-2, -2],
[0, 0], [0, 0]]]], [[8, 4, 1, 3, 3], [v = 1, u = 0, x < -1, And(x < y,y < -x),
0 < z], [regular_chain, [[1, 1], [0, 0], [-2, -2], [0, 0], [1, 1]]]], [[11, 1,
1, 4, 1], [2^(1/2) < v, 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], [-4, -4], [-9, -9], [1, 1], [-4, -4]]]],
[[11, 1, 1, 4, 2], [2^(1/2) < v, 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], [-4, -4], [-9, -9], [1, 1], [-\
2965821/1048576, -11863283/4194304]]]], [[11, 1, 1, 4, 3], [2^(1/2) < v, 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], [-4, -4], [-9, -9], [1, 1], [-3/8388608, -\
3/8388608]]]], [[11, 1, 1, 4, 4], [2^(1/2) < v, 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], [-4, -4], [-9, -9
], [1, 1], [741455/262144, 2965821/1048576]]]], [[11, 1, 1, 4, 5], [2^(1/2) <
v, 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], [-4, -4], [-9, -9], [1, 1], [4, 4]]]], [[11, 5, 6, 1,
1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, y < -u^2+
v^2-2, z = z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608]
, [1, 1], [-2, -2], [0, 0]]]], [[1, 3, 5, 3, 1], [v < -2^(1/2), And(v < u,u <
-(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x
+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [532005/2097152, 532005/2097152], [0, 0], [-2, -2]]]], [[1,
3, 5, 3, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,
x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [532005/
2097152, 532005/2097152], [0, 0], [-735979/1048576, -1471957/2097152]]]], [[1,
3, 5, 3, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,
x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^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], [532005/2097152, 532005/2097152], [0, 0], [-1/4194304, -1/4194304]]]
], [[1, 3, 5, 3, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^
2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2-v^2+1)^(1/2)],
[regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [532005/
2097152, 532005/2097152], [0, 0], [367989/524288, 735979/1048576]]]], [[1, 3,
5, 3, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x <
1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [532005/
2097152, 532005/2097152], [0, 0], [2, 2]]]], [[1, 8, 3, 2, 1], [v < -2^(1/2),
u = (v^2-2)^(1/2), And(-1 < x,x < 1), y = x-1, z = z], [regular_chain, [[-3, -\
3], [2774271/1048576, 10837/4096], [0, 0], [-1, -1], [0, 0]]]], [[2, 5, 1, 5,
1], [v = -2^(1/2), And(-1 < u,u < 0), x < -1, -u^2-x+1 < y, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-2, -2], [4
, 4], [0, 0]]]], [[2, 9, 7, 1, 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], [-4, -4], [-2, -2]]]], [[
2, 9, 7, 1, 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], [-4, -4], [-1417877/2097152, -354469/524288
]]]], [[2, 9, 7, 1, 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], [-4, -4], [0, 0
]]]], [[2, 9, 7, 1, 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], [-4, -4], [354469/524288, 708939/
1048576]]]], [[2, 9, 7, 1, 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], [-4, -4], [2, 2]]]], [[4, 4, 3,
3, 1], [v = -1, u = 0, And(-1 < x,x < 0), And(x < y,y < -x), z < 0], [
regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [0, 0], [-1, -1]]]], [[4, 4, 3
, 3, 2], [v = -1, u = 0, And(-1 < x,x < 0), And(x < y,y < -x), z = 0], [
regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [0, 0], [0, 0]]]], [[4, 4, 3,
3, 3], [v = -1, u = 0, And(-1 < x,x < 0), And(x < y,y < -x), 0 < z], [
regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [0, 0], [1, 1]]]], [[5, 2, 1,
4, 1], [And(-1 < v,v < 0), u = v, x < -1, y = -1-x, z < -1], [regular_chain, [
[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [1, 1], [-2, -2]]]], [[5, 2, 1, 4, 2], [
And(-1 < v,v < 0), u = v, x < -1, y = -1-x, z = -1], [regular_chain, [[-1/2, -\
1/2], [-1/2, -1/2], [-2, -2], [1, 1], [-1, -1]]]], [[5, 2, 1, 4, 3], [And(-1 <
v,v < 0), u = v, x < -1, y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1/2,
-1/2], [-1/2, -1/2], [-2, -2], [1, 1], [0, 0]]]], [[5, 2, 1, 4, 4], [And(-1 <
v,v < 0), u = v, x < -1, y = -1-x, z = 1], [regular_chain, [[-1/2, -1/2], [-1/
2, -1/2], [-2, -2], [1, 1], [1, 1]]]], [[5, 2, 1, 4, 5], [And(-1 < v,v < 0), u
= v, x < -1, y = -1-x, 1 < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-\
2, -2], [1, 1], [2, 2]]]], [[7, 4, 2, 2, 1], [And(0 < v,v < 1), u = v, x = -1,
y = 0, z < -1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1, -1], [0, 0], [-2
, -2]]]], [[7, 4, 2, 2, 2], [And(0 < v,v < 1), u = v, x = -1, y = 0, z = -1],
[regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1, -1], [0, 0], [-1, -1]]]], [[7, 4
, 2, 2, 3], [And(0 < v,v < 1), u = v, x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1, -1], [0, 0], [0, 0]]]], [[7, 4, 2
, 2, 4], [And(0 < v,v < 1), u = v, x = -1, y = 0, z = 1], [regular_chain, [[1/
2, 1/2], [1/2, 1/2], [-1, -1], [0, 0], [1, 1]]]], [[7, 4, 2, 2, 5], [And(0 < v
,v < 1), u = v, x = -1, y = 0, 1 < z], [regular_chain, [[1/2, 1/2], [1/2, 1/2]
, [-1, -1], [0, 0], [2, 2]]]], [[8, 4, 2, 3, 1], [v = 1, u = 0, x = -1, And(-1
< y,y < 1), z < 0], [regular_chain, [[1, 1], [0, 0], [-1, -1], [0, 0], [-1, -1
]]]], [[8, 4, 2, 3, 2], [v = 1, u = 0, x = -1, And(-1 < y,y < 1), z = 0], [
regular_chain, [[1, 1], [0, 0], [-1, -1], [0, 0], [0, 0]]]], [[8, 4, 2, 3, 3],
[v = 1, u = 0, x = -1, And(-1 < y,y < 1), 0 < z], [regular_chain, [[1, 1], [0,
0], [-1, -1], [0, 0], [1, 1]]]], [[10, 11, 7, 4, 1], [v = 2^(1/2), v < u, 1 <
x, y = u^2+x-1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [2, 2], [10, 10], [-4, -4]]]], [[10, 11, 7, 4, 2], [v = 2^(1
/2), v < u, 1 < x, y = u^2+x-1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [2, 2], [10, 10], [-2965821/1048576, -\
11863283/4194304]]]], [[10, 11, 7, 4, 3], [v = 2^(1/2), v < u, 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], [3, 3], [2, 2], [10, 10], [-3/8388608, -3/8388608]]]
], [[10, 11, 7, 4, 4], [v = 2^(1/2), v < u, 1 < x, y = u^2+x-1, z = (u^2-1)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [2, 2], [10,
10], [741455/262144, 2965821/1048576]]]], [[10, 11, 7, 4, 5], [v = 2^(1/2), v
< u, 1 < x, y = u^2+x-1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288,
1482911/1048576], [3, 3], [2, 2], [10, 10], [4, 4]]]], [[11, 5, 5, 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
), u^2-v^2+x+1 < y, z = z], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [395403/524288, 395403/524288], [2, 2], [0, 0]]]], [[1, 13,
1, 5, 1], [v < -2^(1/2), -v < u, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, z < -(u^2-v
^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [-9, -9], [2, 2], [-4, -4]]]]
, [[1, 13, 1, 5, 2], [v < -2^(1/2), -v < u, x < -u^2+v^2-1, -u^2+v^2-x-1 < y,
z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [-9, -9], [2, 2],
[-2965821/1048576, -11863283/4194304]]]], [[1, 13, 1, 5, 3], [v < -2^(1/2), -v
< u, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2
+1)^(1/2))], [regular_chain, [[-3, -3], [4, 4], [-9, -9], [2, 2], [-3/8388608,
-3/8388608]]]], [[1, 13, 1, 5, 4], [v < -2^(1/2), -v < u, x < -u^2+v^2-1, -u^2
+v^2-x-1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [-9,
-9], [2, 2], [741455/262144, 2965821/1048576]]]], [[1, 13, 1, 5, 5], [v < -2^(
1/2), -v < u, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [4, 4], [-9, -9], [2, 2], [4, 4]]]], [[2, 4, 7, 1, 1
], [v = -2^(1/2), u = -1, 1 < x, y < -x, z < 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [2, 2], [-3, -3], [-1, -1]]]], [[2, 4, 7,
1, 2], [v = -2^(1/2), u = -1, 1 < x, y < -x, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [2, 2], [-3, -3], [0, 0]]]], [[2,
4, 7, 1, 3], [v = -2^(1/2), u = -1, 1 < x, y < -x, 0 < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [2, 2], [-3, -3], [1, 1]]]], [[3,
3, 5, 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], [
299103/1048576, 299103/1048576], [749473/1048576, 374737/524288], [-2, -2]]]],
[[3, 3, 5, 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], [299103/1048576, 299103/1048576], [749473/1048576, 374737/
524288], [-1374407/2097152, -687203/1048576]]]], [[3, 3, 5, 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], [299103/1048576, 299103/1048576], [749473/1048576, 374737/
524288], [0, 0]]]], [[3, 3, 5, 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], [299103/1048576, 299103/1048576], [749473/1048576,
374737/524288], [687203/1048576, 171801/262144]]]], [[3, 3, 5, 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], [299103/1048576, 
299103/1048576], [749473/1048576, 374737/524288], [2, 2]]]], [[3, 8, 1, 3, 1],
[And(-2^(1/2) < v,v < -1), u = -v, x < -1, And(x+1 < y,y < -1-x), z < -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-2, -2], [0, 0], [-2, -2]]]], [[3, 8, 1, 3, 2], [And(-2^(1/
2) < v,v < -1), u = -v, x < -1, And(x+1 < y,y < -1-x), z = -1], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [
-2, -2], [0, 0], [-1, -1]]]], [[3, 8, 1, 3, 3], [And(-2^(1/2) < v,v < -1), u =
-v, x < -1, And(x+1 < y,y < -1-x), And(-1 < z,z < 1)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -\
2], [0, 0], [0, 0]]]], [[3, 8, 1, 3, 4], [And(-2^(1/2) < v,v < -1), u = -v, x
< -1, And(x+1 < y,y < -1-x), z = 1], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [0, 0], [1, 1]
]]], [[3, 8, 1, 3, 5], [And(-2^(1/2) < v,v < -1), u = -v, x < -1, And(x+1 < y,
y < -1-x), 1 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [-2, -2], [0, 0], [2, 2]]]], [[6, 1, 7, 2,
1], [v = 0, u < 0, 1 < x, y = -u^2-x-1, z < -(u^2+1)^(1/2)], [regular_chain, [
[0, 0], [-1, -1], [2, 2], [-4, -4], [-3, -3]]]], [[6, 1, 7, 2, 2], [v = 0, u <
0, 1 < x, y = -u^2-x-1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1]
, [2, 2], [-4, -4], [-1482911/1048576, -741455/524288]]]], [[6, 1, 7, 2, 3], [
v = 0, 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, -1], [2, 2], [-4, -4], [0, 0]]]], [[6, 1, 7, 2,
4], [v = 0, u < 0, 1 < x, y = -u^2-x-1, z = (u^2+1)^(1/2)], [regular_chain, [[
0, 0], [-1, -1], [2, 2], [-4, -4], [741455/524288, 1482911/1048576]]]], [[6, 1
, 7, 2, 5], [v = 0, u < 0, 1 < x, y = -u^2-x-1, (u^2+1)^(1/2) < z], [
regular_chain, [[0, 0], [-1, -1], [2, 2], [-4, -4], [3, 3]]]], [[7, 3, 7, 3, 1
], [And(0 < v,v < 1), And(-v < u,u < v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v
^2+x+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [2, 2],
[0, 0], [-2, -2]]]], [[7, 3, 7, 3, 2], [And(0 < v,v < 1), And(-v < u,u < v), 1
< x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [0, 0], [-1816187/2097152, -\
3632373/4194304]]]], [[7, 3, 7, 3, 3], [And(0 < v,v < 1), And(-v < u,u < v), 1
< x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), And(-(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], [0, 0], [-1/
8388608, -1/8388608]]]], [[7, 3, 7, 3, 4], [And(0 < v,v < 1), And(-v < u,u < v
), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [0, 0], [908093/1048576, 454047/
524288]]]], [[7, 3, 7, 3, 5], [And(0 < v,v < 1), And(-v < u,u < v), 1 < x, And
(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
1/2, 1/2], [0, 0], [2, 2], [0, 0], [2, 2]]]], [[9, 1, 6, 1, 1], [And(1 < v,v <
2^(1/2)), u < -v, 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], [-11, -\
11], [-4, -4]]]], [[9, 1, 6, 1, 2], [And(1 < v,v < 2^(1/2)), u < -v, 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], [-11, -11], [-1532401/524288, -24518415/
8388608]]]], [[9, 1, 6, 1, 3], [And(1 < v,v < 2^(1/2)), 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], [-3, -3], [1, 1], [-11, -11], [-7/16777216
, -7/16777216]]]], [[9, 1, 6, 1, 4], [And(1 < v,v < 2^(1/2)), u < -v, 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], [-11, -11], [3064801/1048576, 1532401/
524288]]]], [[9, 1, 6, 1, 5], [And(1 < v,v < 2^(1/2)), u < -v, 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], [-11, -11], [4, 4]]]], [[9, 6, 3, 5, 1], [And(1 <
v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x < 0), -x < y, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-1/2, -1/2], [2, 2], [-1, -1]]]], [[9, 6, 3, 5, 2], [And(1 < v,v <
2^(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x < 0), -x < y, z = 0], [regular_chain
, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-1/2,
-1/2], [2, 2], [0, 0]]]], [[9, 6, 3, 5, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-\
1)^(1/2), And(-1 < x,x < 0), -x < y, 0 < z], [regular_chain, [[1265743/1048576
, 1265743/1048576], [354469/524288, 708939/1048576], [-1/2, -1/2], [2, 2], [1,
1]]]], [[10, 2, 4, 2, 1], [v = 2^(1/2), u = -v, x = 1, y = -2, z < -1], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [1, 1], [-2, -2], [-2, -2]]]], [[10, 2, 4, 2, 2], [v = 2^(1/2), u = -
v, x = 1, y = -2, z = -1], [regular_chain, [[741455/524288, 1482911/1048576],
[-1482911/1048576, -741455/524288], [1, 1], [-2, -2], [-1, -1]]]], [[10, 2, 4,
2, 3], [v = 2^(1/2), u = -v, x = 1, y = -2, And(-1 < z,z < 1)], [regular_chain
, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [1, 1
], [-2, -2], [0, 0]]]], [[10, 2, 4, 2, 4], [v = 2^(1/2), u = -v, x = 1, y = -2
, z = 1], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576
, -741455/524288], [1, 1], [-2, -2], [1, 1]]]], [[10, 2, 4, 2, 5], [v = 2^(1/2
), u = -v, x = 1, y = -2, 1 < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [1, 1], [-2, -2], [2, 2]]]], [[
10, 7, 4, 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]]]], [[11, 5, 7, 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, 10, 7, 5, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), 1 < x, x < y
, z < 0], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [2, 2], [
3, 3], [-1, -1]]]], [[11, 10, 7, 5, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), 1 < x
, x < y, z = 0], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [2
, 2], [3, 3], [0, 0]]]], [[11, 10, 7, 5, 3], [2^(1/2) < v, u = (v^2-1)^(1/2),
1 < x, x < y, 0 < z], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576
], [2, 2], [3, 3], [1, 1]]]], [[1, 3, 5, 2, 1], [v < -2^(1/2), And(v < u,u < -
(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^
(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [
532005/2097152, 532005/2097152], [-1565149/2097152, -391287/524288], [-2, -2]]
]], [[1, 3, 5, 2, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v
^2-1 < x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[
-3, -3], [-6111549/2097152, -6111549/2097152], [532005/2097152, 532005/2097152
], [-1565149/2097152, -391287/524288], [-735979/1048576, -1471957/2097152]]]],
[[1, 3, 5, 2, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1
< x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2)
)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [532005/
2097152, 532005/2097152], [-1565149/2097152, -391287/524288], [-1/4194304, -1/
4194304]]]], [[1, 3, 5, 2, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 
And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [532005/
2097152, 532005/2097152], [-1565149/2097152, -391287/524288], [367989/524288,
735979/1048576]]]], [[1, 3, 5, 2, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1
/2)), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [532005/
2097152, 532005/2097152], [-1565149/2097152, -391287/524288], [2, 2]]]], [[1,
8, 3, 1, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-1 < x,x < 1), y < x-1, z =
z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [0, 0], [-2, -2]
, [0, 0]]]], [[2, 5, 2, 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, 9, 7, 2, 1], [v = -2^(1/2), And(1 < u,u
< -v), 1 < x, y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [2, 2], [-\
2576463/1048576, -1288231/524288], [-2, -2]]]], [[2, 9, 7, 2, 2], [v = -2^(1/2
), And(1 < u,u < -v), 1 < x, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [2,
2], [-2576463/1048576, -1288231/524288], [-1417877/2097152, -354469/524288]]]]
, [[2, 9, 7, 2, 3], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, y = -u^2-x+1, And
(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [2, 2], [-2576463/1048576,
-1288231/524288], [0, 0]]]], [[2, 9, 7, 2, 4], [v = -2^(1/2), And(1 < u,u < -v
), 1 < x, y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [1265743/1048576, 1265743/1048576], [2, 2], [-2576463/
1048576, -1288231/524288], [354469/524288, 708939/1048576]]]], [[2, 9, 7, 2, 5
], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, y = -u^2-x+1, (u^2-1)^(1/2) < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743
/1048576], [2, 2], [-2576463/1048576, -1288231/524288], [2, 2]]]], [[4, 4, 3,
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, 4, 3, 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, 4, 3, 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]]]], [[5, 2, 1, 3, 1], [And(-1 < v,v < 0), u = v, x < -1,
And(x+1 < y,y < -1-x), z < -1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [
-2, -2], [0, 0], [-2, -2]]]], [[5, 2, 1, 3, 2], [And(-1 < v,v < 0), u = v, x <
-1, And(x+1 < y,y < -1-x), z = -1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2
], [-2, -2], [0, 0], [-1, -1]]]], [[5, 2, 1, 3, 3], [And(-1 < v,v < 0), u = v,
x < -1, And(x+1 < y,y < -1-x), And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/
2], [-1/2, -1/2], [-2, -2], [0, 0], [0, 0]]]], [[5, 2, 1, 3, 4], [And(-1 < v,v
< 0), u = v, x < -1, And(x+1 < y,y < -1-x), z = 1], [regular_chain, [[-1/2, -1
/2], [-1/2, -1/2], [-2, -2], [0, 0], [1, 1]]]], [[5, 2, 1, 3, 5], [And(-1 < v,
v < 0), u = v, x < -1, And(x+1 < y,y < -1-x), 1 < z], [regular_chain, [[-1/2,
-1/2], [-1/2, -1/2], [-2, -2], [0, 0], [2, 2]]]], [[7, 4, 2, 3, 1], [And(0 < v
,v < 1), u = v, x = -1, 0 < y, z < -1], [regular_chain, [[1/2, 1/2], [1/2, 1/2
], [-1, -1], [1, 1], [-2, -2]]]], [[7, 4, 2, 3, 2], [And(0 < v,v < 1), u = v,
x = -1, 0 < y, z = -1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1, -1], [1,
1], [-1, -1]]]], [[7, 4, 2, 3, 3], [And(0 < v,v < 1), u = v, x = -1, 0 < y, 
And(-1 < z,z < 1)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1, -1], [1, 1],
[0, 0]]]], [[7, 4, 2, 3, 4], [And(0 < v,v < 1), u = v, x = -1, 0 < y, z = 1],
[regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1, -1], [1, 1], [1, 1]]]], [[7, 4,
2, 3, 5], [And(0 < v,v < 1), u = v, x = -1, 0 < y, 1 < z], [regular_chain, [[1
/2, 1/2], [1/2, 1/2], [-1, -1], [1, 1], [2, 2]]]], [[8, 4, 2, 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, 4, 2, 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, 4, 2, 4, 3],
[v = 1, u = 0, x = -1, y = 1, 0 < z], [regular_chain, [[1, 1], [0, 0], [-1, -1
], [1, 1], [1, 1]]]], [[10, 11, 7, 3, 1], [v = 2^(1/2), v < u, 1 < x, And(-u^2
-x+1 < y,y < u^2+x-1), z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [2, 2], [0, 0], [-4, -4]]]], [[10, 11, 7, 3, 2], [v
= 2^(1/2), v < u, 1 < x, And(-u^2-x+1 < y,y < u^2+x-1), z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [2, 2], [0, 0], [-\
2965821/1048576, -11863283/4194304]]]], [[10, 11, 7, 3, 3], [v = 2^(1/2), v <
u, 1 < x, And(-u^2-x+1 < y,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], [2, 2], [0,
0], [-3/8388608, -3/8388608]]]], [[10, 11, 7, 3, 4], [v = 2^(1/2), v < u, 1 <
x, And(-u^2-x+1 < y,y < u^2+x-1), z = (u^2-1)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [3, 3], [2, 2], [0, 0], [741455/262144, 2965821/
1048576]]]], [[10, 11, 7, 3, 5], [v = 2^(1/2), v < u, 1 < x, And(-u^2-x+1 < y,
y < u^2+x-1), (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [2, 2], [0, 0], [4, 4]]]], [[11, 5, 5, 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]]]], [[1, 13, 1, 4, 1], [v < -2^(1/2), -v < 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], [4, 4], [-9, -9], [1,
1], [-4, -4]]]], [[1, 13, 1, 4, 2], [v < -2^(1/2), -v < 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], [4, 4], [-9,
-9], [1, 1], [-2965821/1048576, -11863283/4194304]]]], [[1, 13, 1, 4, 3], [v <
-2^(1/2), -v < 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], [4, 4], [-9, -9], [1, 1],
[-3/8388608, -3/8388608]]]], [[1, 13, 1, 4, 4], [v < -2^(1/2), -v < 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],
[4, 4], [-9, -9], [1, 1], [741455/262144, 2965821/1048576]]]], [[1, 13, 1, 4,
5], [v < -2^(1/2), -v < 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], [4, 4], [-9, -9], [1, 1], [4, 4]]]], [[2, 4,
6, 5, 1], [v = -2^(1/2), u = -1, x = 1, 1 < y, z < 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [1, 1], [2, 2], [-1, -1]]]], [[2,
4, 6, 5, 2], [v = -2^(1/2), u = -1, x = 1, 1 < y, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [1, 1], [2, 2], [0, 0]]]], [[2, 4,
6, 5, 3], [v = -2^(1/2), u = -1, x = 1, 1 < y, 0 < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [1, 1], [2, 2], [1, 1]]]], [[3, 3,
5, 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), u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [
299103/1048576, 299103/1048576], [2, 2], [-2, -2]]]], [[3, 3, 5, 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),
u^2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3949363/4194304, -3949363/4194304], [299103/1048576, 
299103/1048576], [2, 2], [-1374407/2097152, -687203/1048576]]]], [[3, 3, 5, 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), u^2-v^2+x+1 < y, 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], [299103/1048576, 299103/1048576], [2, 2], [0, 0]]]], [[3, 3,
5, 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), u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [
299103/1048576, 299103/1048576], [2, 2], [687203/1048576, 171801/262144]]]], [
[3, 3, 5, 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), u^2-v^2+x+1 < y, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [299103/1048576, 299103/1048576], [2, 2], [2, 2]]]], [[3, 8,
1, 4, 1], [And(-2^(1/2) < v,v < -1), u = -v, x < -1, y = -1-x, z < -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-2, -2], [1, 1], [-2, -2]]]], [[3, 8, 1, 4, 2], [And(-2^(1/
2) < v,v < -1), u = -v, x < -1, y = -1-x, z = -1], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [1,
1], [-1, -1]]]], [[3, 8, 1, 4, 3], [And(-2^(1/2) < v,v < -1), u = -v, x < -1,
y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [1, 1], [0, 0]]]], [[3
, 8, 1, 4, 4], [And(-2^(1/2) < v,v < -1), u = -v, x < -1, y = -1-x, z = 1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-2, -2], [1, 1], [1, 1]]]], [[3, 8, 1, 4, 5], [And(-2^(1/2)
< v,v < -1), u = -v, x < -1, y = -1-x, 1 < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [1,
1], [2, 2]]]], [[6, 1, 7, 1, 1], [v = 0, u < 0, 1 < x, y < -u^2-x-1, z < -(u^2
+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [2, 2], [-5, -5], [-3, -3]]]],
[[6, 1, 7, 1, 2], [v = 0, u < 0, 1 < x, y < -u^2-x-1, z = -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [2, 2], [-5, -5], [-1482911/1048576, -741455
/524288]]]], [[6, 1, 7, 1, 3], [v = 0, 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, -1], [2, 2], [-\
5, -5], [0, 0]]]], [[6, 1, 7, 1, 4], [v = 0, u < 0, 1 < x, y < -u^2-x-1, z = (
u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [2, 2], [-5, -5], [741455/
524288, 1482911/1048576]]]], [[6, 1, 7, 1, 5], [v = 0, u < 0, 1 < x, y < -u^2-
x-1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [2, 2], [-5, -5],
[3, 3]]]], [[7, 3, 7, 2, 1], [And(0 < v,v < 1), And(-v < u,u < v), 1 < x, y =
-u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [2
, 2], [-11/4, -11/4], [-2, -2]]]], [[7, 3, 7, 2, 2], [And(0 < v,v < 1), And(-v
< u,u < v), 1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain,
[[1/2, 1/2], [0, 0], [2, 2], [-11/4, -11/4], [-1816187/2097152, -3632373/
4194304]]]], [[7, 3, 7, 2, 3], [And(0 < v,v < 1), And(-v < u,u < v), 1 < x, y
= -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [-11/4, -11/4], [-1/8388608, -1/
8388608]]]], [[7, 3, 7, 2, 4], [And(0 < v,v < 1), And(-v < u,u < v), 1 < x, y
= -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [
2, 2], [-11/4, -11/4], [908093/1048576, 454047/524288]]]], [[7, 3, 7, 2, 5], [
And(0 < v,v < 1), And(-v < u,u < v), 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2
) < z], [regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [-11/4, -11/4], [2, 2]]]]
, [[9, 1, 6, 2, 1], [And(1 < v,v < 2^(1/2)), u < -v, x = 1, y = -u^2+v^2-2, z
< -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3, -3], [1, 1], [-20012899/2097152, -10006449/1048576], [-4, -4]]]], [[9, 1, 6
, 2, 2], [And(1 < v,v < 2^(1/2)), u < -v, x = 1, y = -u^2+v^2-2, z = -(u^2-v^2
+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1,
1], [-20012899/2097152, -10006449/1048576], [-1532401/524288, -24518415/
8388608]]]], [[9, 1, 6, 2, 3], [And(1 < v,v < 2^(1/2)), 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], [-3, -3], [1, 1], [-20012899/2097152, -\
10006449/1048576], [-7/16777216, -7/16777216]]]], [[9, 1, 6, 2, 4], [And(1 < v
,v < 2^(1/2)), u < -v, x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1, 1], [-\
20012899/2097152, -10006449/1048576], [3064801/1048576, 1532401/524288]]]], [[
9, 1, 6, 2, 5], [And(1 < v,v < 2^(1/2)), u < -v, x = 1, y = -u^2+v^2-2, (u^2-v
^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3
], [1, 1], [-20012899/2097152, -10006449/1048576], [4, 4]]]], [[9, 6, 4, 1, 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], [-1, -1], [-1, -1]]]], [[9, 6, 4, 1, 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], [-1, -1],
[0, 0]]]], [[9, 6, 4, 1, 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], [-1, -1], [1, 1]]]], [[10, 2, 4, 1, 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], [-3, -3], [-2, -\
2]]]], [[10, 2, 4, 1, 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], [-3, -3], [-1, -1]]]], [[10, 2, 4, 1, 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], [-3, -3], [0, 0]]]], [[
10, 2, 4, 1, 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],
[-3, -3], [1, 1]]]], [[10, 2, 4, 1, 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], [-3, -3], [2, 2]]]], [[10, 7, 3, 5, 1], [v = 2^(1/2),
And(0 < u,u < 1), And(-1 < x,x < -u^2+1), -u^2-x+1 < y, z = z], [regular_chain
, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1/8, -1/8], [2, 2], [0, 0]]
]], [[11, 5, 7, 5, 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 = z], [regular_chain, [[3, 3], [-22960369/8388608
, -22960369/8388608], [2, 2], [3, 3], [0, 0]]]], [[11, 11, 1, 1, 1], [2^(1/2)
< v, And((v^2-1)^(1/2) < u,u < v), 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], [-2, -2],
[-3, -3], [-2, -2]]]], [[11, 11, 1, 1, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u
,u < v), 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], [-2, -2], [-3, -3], [-735979/1048576
, -1471957/2097152]]]], [[11, 11, 1, 1, 3], [2^(1/2) < v, And((v^2-1)^(1/2) <
u,u < v), 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], [-2, -2]
, [-3, -3], [-1/4194304, -1/4194304]]]], [[11, 11, 1, 1, 4], [2^(1/2) < v, And
((v^2-1)^(1/2) < u,u < v), 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], [-2, -2], [-3, -3]
, [367989/524288, 735979/1048576]]]], [[11, 11, 1, 1, 5], [2^(1/2) < v, And((v
^2-1)^(1/2) < u,u < v), 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], [-2, -2], [-3, -3]
, [2, 2]]]], [[1, 3, 5, 5, 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 < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [532005/
2097152, 532005/2097152], [2, 2], [-2, -2]]]], [[1, 3, 5, 5, 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
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [532005/2097152, 532005/2097152], [2, 2], [-735979/1048576, -1471957
/2097152]]]], [[1, 3, 5, 5, 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(-(u^2-v^2+1)^(1/2) < z,z < (u^
2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [532005/2097152, 532005/2097152], [2, 2], [-1/4194304, -1/4194304]]]
], [[1, 3, 5, 5, 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 = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3,
-3], [-6111549/2097152, -6111549/2097152], [532005/2097152, 532005/2097152], [
2, 2], [367989/524288, 735979/1048576]]]], [[1, 3, 5, 5, 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, (u^
2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [532005/2097152, 532005/2097152], [2, 2], [2, 2]]]], [[1, 8, 2, 5, 1
], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -1, 2 < y, z = z], [regular_chain, [[
-3, -3], [2774271/1048576, 10837/4096], [-1, -1], [3, 3], [0, 0]]]], [[2, 5, 2
, 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, 9, 6, 4, 1], [v = -2^(1/2), And(1 < u,u < -v), x =
1, y = u^2, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [1, 1], [763943/524288, 1527887/
1048576], [-2, -2]]]], [[2, 9, 6, 4, 2], [v = -2^(1/2), And(1 < u,u < -v), x =
1, y = u^2, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [1, 1], [763943/524288, 1527887/
1048576], [-1417877/2097152, -354469/524288]]]], [[2, 9, 6, 4, 3], [v = -2^(1/
2), And(1 < u,u < -v), x = 1, y = u^2, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2
))], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 
1265743/1048576], [1, 1], [763943/524288, 1527887/1048576], [0, 0]]]], [[2, 9,
6, 4, 4], [v = -2^(1/2), And(1 < u,u < -v), x = 1, y = u^2, z = (u^2-1)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 
1265743/1048576], [1, 1], [763943/524288, 1527887/1048576], [354469/524288, 
708939/1048576]]]], [[2, 9, 6, 4, 5], [v = -2^(1/2), And(1 < u,u < -v), x = 1,
y = u^2, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [1, 1], [763943/524288, 1527887/
1048576], [2, 2]]]], [[4, 4, 3, 5, 1], [v = -1, u = 0, And(-1 < x,x < 0), -x <
y, z < 0], [regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [2, 2], [-1, -1]]]
], [[4, 4, 3, 5, 2], [v = -1, u = 0, And(-1 < x,x < 0), -x < y, z = 0], [
regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [2, 2], [0, 0]]]], [[4, 4, 3,
5, 3], [v = -1, u = 0, And(-1 < x,x < 0), -x < y, 0 < z], [regular_chain, [[-1
, -1], [0, 0], [-1/2, -1/2], [2, 2], [1, 1]]]], [[5, 2, 1, 2, 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, 2, 1, 2, 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, 2, 1, 2, 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, 2, 1, 2, 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, 2, 1, 2, 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]]]], [[7, 4, 3, 1, 1], [And(0 < v,v < 1), u = v, And(-1 < x,x < 1),
y < -1-x, z < -1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [-2, -2],
[-2, -2]]]], [[7, 4, 3, 1, 2], [And(0 < v,v < 1), u = v, And(-1 < x,x < 1), y
< -1-x, z = -1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [-2, -2], [-\
1, -1]]]], [[7, 4, 3, 1, 3], [And(0 < v,v < 1), u = v, And(-1 < x,x < 1), y <
-1-x, And(-1 < z,z < 1)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [-2
, -2], [0, 0]]]], [[7, 4, 3, 1, 4], [And(0 < v,v < 1), u = v, And(-1 < x,x < 1
), y < -1-x, z = 1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [-2, -2]
, [1, 1]]]], [[7, 4, 3, 1, 5], [And(0 < v,v < 1), u = v, And(-1 < x,x < 1), y
< -1-x, 1 < z], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [-2, -2], [2,
2]]]], [[8, 4, 2, 1, 1], [v = 1, u = 0, x = -1, y < -1, z < 0], [regular_chain
, [[1, 1], [0, 0], [-1, -1], [-2, -2], [-1, -1]]]], [[8, 4, 2, 1, 2], [v = 1,
u = 0, x = -1, y < -1, z = 0], [regular_chain, [[1, 1], [0, 0], [-1, -1], [-2,
-2], [0, 0]]]], [[8, 4, 2, 1, 3], [v = 1, u = 0, x = -1, y < -1, 0 < z], [
regular_chain, [[1, 1], [0, 0], [-1, -1], [-2, -2], [1, 1]]]], [[11, 1, 1, 1,
1], [2^(1/2) < v, 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], [-4, -4], [-9, -9], [-2, -2], [-4, -4]]]], [[11
, 1, 1, 1, 2], [2^(1/2) < v, 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], [-4, -4], [-9, -9], [-2, -2], [-\
2965821/1048576, -11863283/4194304]]]], [[11, 1, 1, 1, 3], [2^(1/2) < v, 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], [-4, -4], [-9, -9], [-2, -2], [-3/8388608,
-3/8388608]]]], [[11, 1, 1, 1, 4], [2^(1/2) < v, 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], [-4, -4], [-9, -9
], [-2, -2], [741455/262144, 2965821/1048576]]]], [[11, 1, 1, 1, 5], [2^(1/2)
< v, 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], [-4, -4], [-9, -9], [-2, -2], [4, 4]]]], [[11, 5, 5, 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 < u^2-v^2+x+1), z = z], [regular_chain, [[3
, 3], [-22960369/8388608, -22960369/8388608], [395403/524288, 395403/524288],
[0, 0], [0, 0]]]], [[1, 13, 2, 2, 1], [v < -2^(1/2), -v < u, x = -u^2+v^2-1, y
= 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [-8, -8], [0,
0], [-4, -4]]]], [[1, 13, 2, 2, 2], [v < -2^(1/2), -v < u, x = -u^2+v^2-1, y =
0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [-8, -8], [0, 0
], [-2965821/1048576, -11863283/4194304]]]], [[1, 13, 2, 2, 3], [v < -2^(1/2),
-v < 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], [4, 4], [-8, -8], [0, 0], [-3/8388608, -3/
8388608]]]], [[1, 13, 2, 2, 4], [v < -2^(1/2), -v < u, x = -u^2+v^2-1, y = 0,
z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [-8, -8], [0, 0], [
741455/262144, 2965821/1048576]]]], [[1, 13, 2, 2, 5], [v < -2^(1/2), -v < u,
x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [4,
4], [-8, -8], [0, 0], [4, 4]]]], [[2, 4, 6, 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, 4, 6, 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, 4, 6, 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]]]], [[3, 3, 6, 1, 1], [And(-2^(1/2) < v,v < -1), And(v <
u,u < -(v^2-1)^(1/2)), x = 1, y < -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [-3, -3], [-2, -2]]]], [[3, 3, 6, 1, 2], [And(-2^(1/
2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y < -u^2+v^2-2, z = -(u^
2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [1, 1], [-3, -3], [-1374407/2097152, -\
687203/1048576]]]], [[3, 3, 6, 1, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u <
-(v^2-1)^(1/2)), x = 1, y < -u^2+v^2-2, And(-(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], [-3, -3], [0, 0]]]], [[3, 3, 6, 1, 4], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y < -u^2+v^2-2
, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-3949363/4194304, -3949363/4194304], [1, 1], [-3, -3], [687203/1048576, 
171801/262144]]]], [[3, 3, 6, 1, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u <
-(v^2-1)^(1/2)), x = 1, y < -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304],
[1, 1], [-3, -3], [2, 2]]]], [[3, 8, 1, 1, 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], [-2, -2], [-2, -2]]]],
[[3, 8, 1, 1, 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], [-2, -2], [-1, -1]]]], [[3, 8, 1, 1, 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], [-2, -2], [0, 0]]]], [[3, 8, 1, 1, 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], [-2, -2], [1, 1]]]], [
[3, 8, 1, 1, 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], [-2, -2], [2, 2]]]], [[6, 1, 7, 4, 1], [v = 0, u <
0, 1 < x, y = u^2+x+1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1],
[2, 2], [4, 4], [-3, -3]]]], [[6, 1, 7, 4, 2], [v = 0, u < 0, 1 < x, y = u^2+x
+1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [2, 2], [4, 4], [-\
1482911/1048576, -741455/524288]]]], [[6, 1, 7, 4, 3], [v = 0, 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, -1], [2, 2], [4, 4], [0, 0]]]], [[6, 1, 7, 4, 4], [v = 0, u < 0, 1 < x,
y = u^2+x+1, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [2, 2], [4
, 4], [741455/524288, 1482911/1048576]]]], [[6, 1, 7, 4, 5], [v = 0, u < 0, 1
< x, y = u^2+x+1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [2, 2
], [4, 4], [3, 3]]]], [[7, 3, 7, 1, 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], [-4, -4], [-2, -2]]]], [[7, 3, 7, 1, 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], [-4, -4], [-1816187/2097152, -\
3632373/4194304]]]], [[7, 3, 7, 1, 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], [-4, -4], [-1/8388608, -1/8388608]
]]], [[7, 3, 7, 1, 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], [
-4, -4], [908093/1048576, 454047/524288]]]], [[7, 3, 7, 1, 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], [-4, -4], [2, 2]]]], [[9, 1, 6, 3,
1], [And(1 < v,v < 2^(1/2)), u < -v, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2),
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3, -3], [1, 1], [0, 0], [-4, -4]]]], [[9, 1, 6, 3, 2], [And(1 < v,v < 2^(1/2
)), u < -v, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z = -(u^2-v^2+1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1, 1], [0, 0],
[-1532401/524288, -24518415/8388608]]]], [[9, 1, 6, 3, 3], [And(1 < v,v < 2^(1
/2)), u < -v, x = 1, And(-u^2+v^2-2 < y,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], [0, 0], [-7/16777216, -7/16777216]]]], [[9, 1, 6,
3, 4], [And(1 < v,v < 2^(1/2)), u < -v, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+
2), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-3, -3], [1, 1], [0, 0], [3064801/1048576, 1532401/524288]]]], [[9, 1, 6,
3, 5], [And(1 < v,v < 2^(1/2)), u < -v, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+
2), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-3, -3], [1, 1], [0, 0], [4, 4]]]], [[9, 6, 3, 3, 1], [And(1 < v,v < 2^(1/
2)), u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < -x), z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-1/2, -1/2], [0, 0], [-1, -1]]]], [[9, 6, 3, 3, 2], [And(1 < v,v <
2^(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < -x), z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-1/2, -1/2], [0, 0], [0, 0]]]], [[9, 6, 3, 3, 3], [And(1 < v,v < 2^
(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < -x), 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-1/2, -1/2], [0, 0], [1, 1]]]], [[10, 2, 4, 4, 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, 2, 4,
4, 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, 2, 4, 4, 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, 2, 4, 4, 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, 2, 4,
4, 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, 7, 3, 4, 1], [v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x < -
u^2+1), y = -u^2-x+1, z = z], [regular_chain, [[741455/524288, 1482911/1048576
], [1/2, 1/2], [-1/8, -1/8], [7/8, 7/8], [0, 0]]]], [[11, 6, 1, 1, 1], [2^(1/2
) < v, u = -(v^2-2)^(1/2), x < -1, y < x-1, z = z], [regular_chain, [[3, 3], [
-5548543/2097152, -2774271/1048576], [-2, -2], [-4, -4], [0, 0]]]], [[11, 10,
7, 3, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), 1 < x, And(-x < y,y < x), z < 0], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [2, 2], [0, 0], [-1,
-1]]]], [[11, 10, 7, 3, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), 1 < x, And(-x < y
,y < x), z = 0], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [2
, 2], [0, 0], [0, 0]]]], [[11, 10, 7, 3, 3], [2^(1/2) < v, u = (v^2-1)^(1/2),
1 < x, And(-x < y,y < x), 0 < z], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [2, 2], [0, 0], [1, 1]]]], [[1, 3, 5, 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], [532005/2097152, 532005/2097152], [391287/524288, 782575/1048576], [
-2, -2]]]], [[1, 3, 5, 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], [532005/
2097152, 532005/2097152], [391287/524288, 782575/1048576], [-735979/1048576, -\
1471957/2097152]]]], [[1, 3, 5, 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], [532005/2097152, 532005/2097152], [391287/524288, 782575/
1048576], [-1/4194304, -1/4194304]]]], [[1, 3, 5, 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]
, [532005/2097152, 532005/2097152], [391287/524288, 782575/1048576], [367989/
524288, 735979/1048576]]]], [[1, 3, 5, 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], [532005/
2097152, 532005/2097152], [391287/524288, 782575/1048576], [2, 2]]]], [[1, 8,
2, 4, 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]]]], [[2, 5, 2, 3, 1], [v = -2^(1/2), And(-1 < u,u < 0), x = -1, And(u^2-2 <
y,y < -u^2+2), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1/2, -1/2], [-1, -1], [0, 0], [0, 0]]]], [[2, 9, 6, 5, 1], [v = -2^(1/2), And(
1 < u,u < -v), x = 1, u^2 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [1, 1], [3, 3],
[-2, -2]]]], [[2, 9, 6, 5, 2], [v = -2^(1/2), And(1 < u,u < -v), x = 1, u^2 <
y, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [1, 1], [3, 3], [-1417877/2097152, -354469/
524288]]]], [[2, 9, 6, 5, 3], [v = -2^(1/2), And(1 < u,u < -v), x = 1, u^2 < y
, 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], [3, 3],
[0, 0]]]], [[2, 9, 6, 5, 4], [v = -2^(1/2), And(1 < u,u < -v), x = 1, u^2 < y,
z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [1, 1], [3, 3], [354469/524288, 708939/
1048576]]]], [[2, 9, 6, 5, 5], [v = -2^(1/2), And(1 < u,u < -v), x = 1, u^2 <
y, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [1, 1], [3, 3], [2, 2]]]], [[4, 4, 3, 4, 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, 4, 3, 4, 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, 4, 3, 4, 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]]]], [[5, 2, 1, 1, 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], [-2, -2], [
-2, -2]]]], [[5, 2, 1, 1, 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], [-2, -2], [-1, -1]
]]], [[5, 2, 1, 1, 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], [-2, -2], [0,
0]]]], [[5, 2, 1, 1, 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], [-2, -2], [1, 1]]]], [[5
, 2, 1, 1, 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], [-2, -2], [2, 2]]]], [[7
, 4, 3, 2, 1], [And(0 < v,v < 1), u = v, And(-1 < x,x < 1), y = -1-x, z < -1],
[regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [-1, -1], [-2, -2]]]], [[7, 4
, 3, 2, 2], [And(0 < v,v < 1), u = v, And(-1 < x,x < 1), y = -1-x, z = -1], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [-1, -1], [-1, -1]]]], [[7, 4,
3, 2, 3], [And(0 < v,v < 1), u = v, And(-1 < x,x < 1), y = -1-x, And(-1 < z,z
< 1)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [-1, -1], [0, 0]]]], [
[7, 4, 3, 2, 4], [And(0 < v,v < 1), u = v, And(-1 < x,x < 1), y = -1-x, z = 1]
, [regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [-1, -1], [1, 1]]]], [[7, 4
, 3, 2, 5], [And(0 < v,v < 1), u = v, And(-1 < x,x < 1), y = -1-x, 1 < z], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [-1, -1], [2, 2]]]], [[8, 4, 2
, 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, 4, 2, 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, 4, 2, 2, 3], [v = 1, u = 0, x = -1, y = -1, 0 < z], [regular_chain, [[1,
1], [0, 0], [-1, -1], [-1, -1], [1, 1]]]], [[10, 11, 7, 5, 1], [v = 2^(1/2), v
< u, 1 < x, u^2+x-1 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [3, 3], [2, 2], [11, 11], [-4, -4]]]], [[10, 11, 7, 5, 2], [
v = 2^(1/2), v < u, 1 < x, u^2+x-1 < y, z = -(u^2-1)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [3, 3], [2, 2], [11, 11], [-2965821/1048576,
-11863283/4194304]]]], [[10, 11, 7, 5, 3], [v = 2^(1/2), v < u, 1 < x, u^2+x-1
< y, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [2, 2], [11, 11], [-3/8388608, -3/8388608]]]
], [[10, 11, 7, 5, 4], [v = 2^(1/2), v < u, 1 < x, u^2+x-1 < y, z = (u^2-1)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [2, 2], [11,
11], [741455/262144, 2965821/1048576]]]], [[10, 11, 7, 5, 5], [v = 2^(1/2), v
< u, 1 < x, u^2+x-1 < y, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288,
1482911/1048576], [3, 3], [2, 2], [11, 11], [4, 4]]]], [[11, 5, 5, 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], [395403/524288, 395403/524288], [-257771/1048576, -128885/
524288], [0, 0]]]], [[1, 13, 2, 1, 1], [v < -2^(1/2), -v < u, x = -u^2+v^2-1,
y < 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [-8, -8], [
-1, -1], [-4, -4]]]], [[1, 13, 2, 1, 2], [v < -2^(1/2), -v < u, x = -u^2+v^2-1
, y < 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [-8, -8],
[-1, -1], [-2965821/1048576, -11863283/4194304]]]], [[1, 13, 2, 1, 3], [v < -2
^(1/2), -v < 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], [4, 4], [-8, -8], [-1, -1], [-3/
8388608, -3/8388608]]]], [[1, 13, 2, 1, 4], [v < -2^(1/2), -v < u, x = -u^2+v^
2-1, y < 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [-8, -8
], [-1, -1], [741455/262144, 2965821/1048576]]]], [[1, 13, 2, 1, 5], [v < -2^(
1/2), -v < u, x = -u^2+v^2-1, y < 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [
[-3, -3], [4, 4], [-8, -8], [-1, -1], [4, 4]]]], [[2, 4, 6, 3, 1], [v = -2^(1/
2), u = -1, x = 1, And(-1 < y,y < 1), z < 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [1, 1], [0, 0], [-1, -1]]]], [[2, 4, 6, 3,
2], [v = -2^(1/2), u = -1, x = 1, And(-1 < y,y < 1), z = 0], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1, -1], [1, 1], [0, 0], [0, 0]]]], [[2,
4, 6, 3, 3], [v = -2^(1/2), u = -1, x = 1, And(-1 < y,y < 1), 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [1, 1], [0, 0],
[1, 1]]]], [[3, 3, 6, 2, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)
^(1/2)), x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [1,
1], [-1498947/1048576, -749473/524288], [-2, -2]]]], [[3, 3, 6, 2, 2], [And(-2
^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [1, 1], [-1498947/1048576, -749473/524288]
, [-1374407/2097152, -687203/1048576]]]], [[3, 3, 6, 2, 3], [And(-2^(1/2) < v,
v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+1
)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [-1498947/
1048576, -749473/524288], [0, 0]]]], [[3, 3, 6, 2, 4], [And(-2^(1/2) < v,v < -\
1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304,
-3949363/4194304], [1, 1], [-1498947/1048576, -749473/524288], [687203/1048576
, 171801/262144]]]], [[3, 3, 6, 2, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u
< -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [-1498947/1048576, -749473/524288], [2, 2]]]], [[3,
8, 1, 2, 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, 8, 1, 2, 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, 8, 1, 2, 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, 8, 1, 2, 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, 8, 1, 2, 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]]]], [[6, 1, 7, 3, 1], [v = 0, u < 0, 1 < x, And(-u^2-x-1 < y,y < u
^2+x+1), z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [2, 2], [0, 0
], [-3, -3]]]], [[6, 1, 7, 3, 2], [v = 0, u < 0, 1 < x, And(-u^2-x-1 < y,y < u
^2+x+1), z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [2, 2], [0, 0
], [-1482911/1048576, -741455/524288]]]], [[6, 1, 7, 3, 3], [v = 0, u < 0, 1 <
x, And(-u^2-x-1 < y,y < u^2+x+1), And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))],
[regular_chain, [[0, 0], [-1, -1], [2, 2], [0, 0], [0, 0]]]], [[6, 1, 7, 3, 4]
, [v = 0, u < 0, 1 < x, And(-u^2-x-1 < y,y < u^2+x+1), z = (u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [2, 2], [0, 0], [741455/524288, 1482911/
1048576]]]], [[6, 1, 7, 3, 5], [v = 0, u < 0, 1 < x, And(-u^2-x-1 < y,y < u^2+
x+1), (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [2, 2], [0, 0], [
3, 3]]]], [[7, 3, 6, 5, 1], [And(0 < v,v < 1), And(-v < u,u < v), x = 1, u^2-v
^2+2 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1, 1]
, [3, 3], [-2, -2]]]], [[7, 3, 6, 5, 2], [And(0 < v,v < 1), And(-v < u,u < v),
x = 1, u^2-v^2+2 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0
, 0], [1, 1], [3, 3], [-1816187/2097152, -3632373/4194304]]]], [[7, 3, 6, 5, 3
], [And(0 < v,v < 1), And(-v < u,u < v), x = 1, u^2-v^2+2 < y, 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], [3, 3], [-1/8388608, -1/8388608]]]], [[7, 3, 6, 5, 4], [And(0 < v,v < 1),
And(-v < u,u < v), x = 1, u^2-v^2+2 < y, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [1, 1], [3, 3], [908093/1048576, 454047/
524288]]]], [[7, 3, 6, 5, 5], [And(0 < v,v < 1), And(-v < u,u < v), x = 1, u^2
-v^2+2 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [1, 1
], [3, 3], [2, 2]]]], [[9, 1, 6, 4, 1], [And(1 < v,v < 2^(1/2)), u < -v, 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, 6, 4, 2], [And(1 < v,v < 2^(1/2)), u < -v, 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, 6, 4, 3], [And(1 < v,v < 2^(1/2)), 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], [-3, -3], [1, 1], [
10006449/1048576, 5003225/524288], [-7/16777216, -7/16777216]]]], [[9, 1, 6, 4
, 4], [And(1 < v,v < 2^(1/2)), u < -v, 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, 6, 4, 5], [And(1 < v,v < 2^(1/2)), u < -v, 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, 6, 3, 4, 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, 6, 3, 4, 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, 6, 3, 4, 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]]]], [[10, 2, 4, 3, 1], [v = 2^(1/2)
, u = -v, x = 1, And(-2 < y,y < 2), z < -1], [regular_chain, [[741455/524288,
1482911/1048576], [-1482911/1048576, -741455/524288], [1, 1], [0, 0], [-2, -2]
]]], [[10, 2, 4, 3, 2], [v = 2^(1/2), u = -v, x = 1, And(-2 < y,y < 2), z = -1
], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -\
741455/524288], [1, 1], [0, 0], [-1, -1]]]], [[10, 2, 4, 3, 3], [v = 2^(1/2),
u = -v, x = 1, And(-2 < y,y < 2), And(-1 < z,z < 1)], [regular_chain, [[741455
/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [1, 1], [0, 0],
[0, 0]]]], [[10, 2, 4, 3, 4], [v = 2^(1/2), u = -v, x = 1, And(-2 < y,y < 2),
z = 1], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576,
-741455/524288], [1, 1], [0, 0], [1, 1]]]], [[10, 2, 4, 3, 5], [v = 2^(1/2), u
= -v, x = 1, And(-2 < y,y < 2), 1 < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [1, 1], [0, 0], [2, 2]]]
], [[10, 7, 3, 3, 1], [v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x < -u^2+1),
And(u^2+x-1 < y,y < -u^2-x+1), z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [1/2, 1/2], [-1/8, -1/8], [0, 0], [0, 0]]]], [[11, 6, 1, 2,
1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x < -1, y = x-1, z = z], [regular_chain,
[[3, 3], [-5548543/2097152, -2774271/1048576], [-2, -2], [-3, -3], [0, 0]]]],
[[11, 10, 7, 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, 10, 7, 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, 10, 7, 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]]]], [[1, 12, 5, 5, 1], [v < -2^(1/2), u = -v, 1 < x, x+1 < y, z < -\
1], [regular_chain, [[-3, -3], [3, 3], [2, 2], [4, 4], [-2, -2]]]], [[1, 12, 5
, 5, 2], [v < -2^(1/2), u = -v, 1 < x, x+1 < y, z = -1], [regular_chain, [[-3,
-3], [3, 3], [2, 2], [4, 4], [-1, -1]]]], [[1, 12, 5, 5, 3], [v < -2^(1/2), u
= -v, 1 < x, x+1 < y, And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [3, 3], [
2, 2], [4, 4], [0, 0]]]], [[1, 12, 5, 5, 4], [v < -2^(1/2), u = -v, 1 < x, x+1
< y, z = 1], [regular_chain, [[-3, -3], [3, 3], [2, 2], [4, 4], [1, 1]]]], [[1
, 12, 5, 5, 5], [v < -2^(1/2), u = -v, 1 < x, x+1 < y, 1 < z], [regular_chain,
[[-3, -3], [3, 3], [2, 2], [4, 4], [2, 2]]]], [[2, 4, 6, 1, 1], [v = -2^(1/2),
u = -1, x = 1, y < -1, z < 0], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [1, 1], [-2, -2], [-1, -1]]]], [[2, 4, 6, 1, 2], [v = -2^(1
/2), u = -1, x = 1, y < -1, z = 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1, -1], [1, 1], [-2, -2], [0, 0]]]], [[2, 4, 6, 1, 3], [v =
-2^(1/2), u = -1, x = 1, y < -1, 0 < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1, -1], [1, 1], [-2, -2], [1, 1]]]], [[3, 4, 1, 2, 1], [And(
-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -1, y = x, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-2, -2], [-2, -2], [-1, -1]]]], [[3, 4, 1, 2, 2], [And(-2^(1/
2) < v,v < -1), u = -(v^2-1)^(1/2), x < -1, y = x, z = 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-2, -\
2], [-2, -2], [0, 0]]]], [[3, 4, 1, 2, 3], [And(-2^(1/2) < v,v < -1), u = -(v^
2-1)^(1/2), x < -1, y = x, 0 < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [-2, -2], [-2, -2], [1,
1]]]], [[3, 8, 4, 3, 1], [And(-2^(1/2) < v,v < -1), u = -v, x = 1, And(-2 < y,
y < 2), z < -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [1, 1], [0, 0], [-2, -2]]]], [[3, 8, 4, 3,
2], [And(-2^(1/2) < v,v < -1), u = -v, x = 1, And(-2 < y,y < 2), z = -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [1, 1], [0, 0], [-1, -1]]]], [[3, 8, 4, 3, 3], [And(-2^(1/2)
< v,v < -1), u = -v, x = 1, And(-2 < y,y < 2), And(-1 < z,z < 1)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [1, 1], [0, 0], [0, 0]]]], [[3, 8, 4, 3, 4], [And(-2^(1/2) <
v,v < -1), u = -v, x = 1, And(-2 < y,y < 2), z = 1], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [1, 1]
, [0, 0], [1, 1]]]], [[3, 8, 4, 3, 5], [And(-2^(1/2) < v,v < -1), u = -v, x =
1, And(-2 < y,y < 2), 1 < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1265743/1048576, 1265743/1048576], [1, 1], [0, 0], [2, 2]]]], [[6,
1, 6, 2, 1], [v = 0, u < 0, x = 1, y = -u^2-2, z < -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [1, 1], [-3, -3], [-3, -3]]]], [[6, 1, 6, 2,
2], [v = 0, u < 0, x = 1, y = -u^2-2, z = -(u^2+1)^(1/2)], [regular_chain, [[0
, 0], [-1, -1], [1, 1], [-3, -3], [-1482911/1048576, -741455/524288]]]], [[6,
1, 6, 2, 3], [v = 0, 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, -1], [1, 1], [-3, -3], [0, 0]]]], [
[6, 1, 6, 2, 4], [v = 0, u < 0, x = 1, y = -u^2-2, z = (u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [1, 1], [-3, -3], [741455/524288, 1482911/
1048576]]]], [[6, 1, 6, 2, 5], [v = 0, u < 0, x = 1, y = -u^2-2, (u^2+1)^(1/2)
< z], [regular_chain, [[0, 0], [-1, -1], [1, 1], [-3, -3], [3, 3]]]], [[7, 3,
6, 3, 1], [And(0 < v,v < 1), And(-v < u,u < v), x = 1, And(-u^2+v^2-2 < y,y <
u^2-v^2+2), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1,
1], [0, 0], [-2, -2]]]], [[7, 3, 6, 3, 2], [And(0 < v,v < 1), And(-v < u,u < v
), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [1, 1], [0, 0], [-1816187/2097152, -\
3632373/4194304]]]], [[7, 3, 6, 3, 3], [And(0 < v,v < 1), And(-v < u,u < v), x
= 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), And(-(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], [0, 0], [-1/8388608
, -1/8388608]]]], [[7, 3, 6, 3, 4], [And(0 < v,v < 1), And(-v < u,u < v), x =
1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z = (u^2-v^2+1)^(1/2)], [regular_chain,
[[1/2, 1/2], [0, 0], [1, 1], [0, 0], [908093/1048576, 454047/524288]]]], [[7,
3, 6, 3, 5], [And(0 < v,v < 1), And(-v < u,u < v), x = 1, And(-u^2+v^2-2 < y,y
< u^2-v^2+2), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [1,
1], [0, 0], [2, 2]]]], [[9, 2, 1, 4, 1], [And(1 < v,v < 2^(1/2)), u = -v, x <
-1, y = -1-x, z < -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [-2, -2], [1, 1], [-2, -2]]]], [[9, 2, 1,
4, 2], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, y = -1-x, z = -1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [1, 1], [-1, -1]]]], [[9, 2, 1, 4, 3], [And(1 < v,
v < 2^(1/2)), u = -v, x < -1, y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2,
-2], [1, 1], [0, 0]]]], [[9, 2, 1, 4, 4], [And(1 < v,v < 2^(1/2)), u = -v, x <
-1, y = -1-x, z = 1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [-2, -2], [1, 1], [1, 1]]]], [[9, 2, 1, 4,
5], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, y = -1-x, 1 < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2
, -2], [1, 1], [2, 2]]]], [[9, 6, 6, 5, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-\
1)^(1/2), x = 1, 1 < y, z < 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [1, 1], [2, 2], [-1, -1]]]], [[9, 6
, 6, 5, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 1, 1 < y, z = 0],
[regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [1, 1], [2, 2], [0, 0]]]], [[9, 6, 6, 5, 3], [And(1 < v,v < 2^(1/2))
, u = (v^2-1)^(1/2), x = 1, 1 < y, 0 < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [354469/524288, 708939/1048576], [1, 1], [2, 2], [1, 1]]]],
[[10, 2, 1, 2, 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, 2, 1, 2, 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,
2, 1, 2, 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, 2, 1, 2, 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, 2, 1,
2, 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, 1, 3, 1], [v = 2^(1/2), And(0 < u,u < 1), x < -1, And
(u^2+x-1 < y,y < -u^2-x+1), z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [-2, -2], [0, 0], [0, 0]]]], [[11, 6, 1, 4, 1], [2^(1/2)
< v, u = -(v^2-2)^(1/2), x < -1, y = -x+1, z = z], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [-2, -2], [3, 3], [0, 0]]]], [[11, 11, 1,
5, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x < -1, -u^2+v^2-x-1 < y, z
< -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-2, -2], [3, 3], [-2, -2]]]], [[11, 11, 1, 5, 2], [2^(1/2) < v, And
((v^2-1)^(1/2) < u,u < v), x < -1, -u^2+v^2-x-1 < y, z = -(u^2-v^2+1)^(1/2)],
[regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-2, -2], [3, 3],
[-735979/1048576, -1471957/2097152]]]], [[11, 11, 1, 5, 3], [2^(1/2) < v, And(
(v^2-1)^(1/2) < u,u < v), x < -1, -u^2+v^2-x-1 < y, 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], [3, 3], [-1/4194304, -1/4194304]]]], [[11, 11, 1, 5, 4], [
2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x < -1, -u^2+v^2-x-1 < y, z = (u^2-
v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-\
2, -2], [3, 3], [367989/524288, 735979/1048576]]]], [[11, 11, 1, 5, 5], [2^(1/
2) < v, And((v^2-1)^(1/2) < u,u < v), x < -1, -u^2+v^2-x-1 < y, (u^2-v^2+1)^(1
/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-2, -2
], [3, 3], [2, 2]]]], [[1, 3, 2, 3, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^
(1/2)), x = -1, And(u^2-v^2 < y,y < -u^2+v^2), z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-1, -1], [0,
0], [-2, -2]]]], [[1, 3, 2, 3, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)
), x = -1, And(u^2-v^2 < y,y < -u^2+v^2), z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-1, -1], [0,
0], [-735979/1048576, -1471957/2097152]]]], [[1, 3, 2, 3, 3], [v < -2^(1/2), 
And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,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], [0, 0], [-1/4194304, -1/4194304]
]]], [[1, 3, 2, 3, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, 
And(u^2-v^2 < y,y < -u^2+v^2), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -\
3], [-6111549/2097152, -6111549/2097152], [-1, -1], [0, 0], [367989/524288, 
735979/1048576]]]], [[1, 3, 2, 3, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1
/2)), x = -1, And(u^2-v^2 < y,y < -u^2+v^2), (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-1, -1], [0,
0], [2, 2]]]], [[1, 7, 7, 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]]]], [[2, 5, 2, 5, 1], [v = -2^(1/2), And(-1
< u,u < 0), x = -1, -u^2+2 < y, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-1, -1], [3, 3], [0, 0]]]], [[2, 10, 1, 1, 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], [-2, -2]
, [-2, -2]]]], [[2, 10, 1, 1, 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], [-2, -2], [-1, -1]]]], [[2, 10, 1, 1, 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], [-2, -2
], [0, 0]]]], [[2, 10, 1, 1, 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], [-2, -2], [1, 1]]]], [[2, 10, 1, 1, 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], [-2, -2], [2, 2]]]
], [[4, 3, 7, 5, 1], [v = -1, And(-1 < u,u < 0), 1 < x, u^2+x < y, z < u], [
regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [4, 4], [-2, -2]]]], [[4, 3, 7
, 5, 2], [v = -1, And(-1 < u,u < 0), 1 < x, u^2+x < y, z = u], [regular_chain,
[[-1, -1], [-1/2, -1/2], [2, 2], [4, 4], [-1/2, -1/2]]]], [[4, 3, 7, 5, 3], [v
= -1, And(-1 < u,u < 0), 1 < x, u^2+x < y, And(u < z,z < -u)], [regular_chain,
[[-1, -1], [-1/2, -1/2], [2, 2], [4, 4], [0, 0]]]], [[4, 3, 7, 5, 4], [v = -1,
And(-1 < u,u < 0), 1 < x, u^2+x < y, z = -u], [regular_chain, [[-1, -1], [-1/2
, -1/2], [2, 2], [4, 4], [1/2, 1/2]]]], [[4, 3, 7, 5, 5], [v = -1, And(-1 < u,
u < 0), 1 < x, u^2+x < y, -u < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [2
, 2], [4, 4], [2, 2]]]], [[5, 1, 6, 1, 1], [And(-1 < v,v < 0), u < v, x = 1, y
< -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2]
, [1, 1], [-7, -7], [-4, -4]]]], [[5, 1, 6, 1, 2], [And(-1 < v,v < 0), u < v,
x = 1, y < -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-2, -2], [1, 1], [-7, -7], [-2285319/1048576, -1142659/524288]]]], [[5, 1, 6,
1, 3], [And(-1 < v,v < 0), 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], [-2, -2], [1, 1]
, [-7, -7], [0, 0]]]], [[5, 1, 6, 1, 4], [And(-1 < v,v < 0), u < v, x = 1, y <
-u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [
1, 1], [-7, -7], [1142659/524288, 2285319/1048576]]]], [[5, 1, 6, 1, 5], [And(
-1 < v,v < 0), u < v, x = 1, y < -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-2, -2], [1, 1], [-7, -7], [4, 4]]]], [[7, 4, 3
, 4, 1], [And(0 < v,v < 1), u = v, And(-1 < x,x < 1), y = x+1, z < -1], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [1, 1], [-2, -2]]]], [[7, 4, 3
, 4, 2], [And(0 < v,v < 1), u = v, And(-1 < x,x < 1), y = x+1, z = -1], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [1, 1], [-1, -1]]]], [[7, 4, 3
, 4, 3], [And(0 < v,v < 1), u = v, And(-1 < x,x < 1), y = x+1, And(-1 < z,z <
1)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [1, 1], [0, 0]]]], [[7,
4, 3, 4, 4], [And(0 < v,v < 1), u = v, And(-1 < x,x < 1), y = x+1, z = 1], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [1, 1], [1, 1]]]], [[7, 4, 3,
4, 5], [And(0 < v,v < 1), u = v, And(-1 < x,x < 1), y = x+1, 1 < z], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [1, 1], [2, 2]]]], [[8, 4, 3,
3, 1], [v = 1, u = 0, And(-1 < x,x < 0), And(x < y,y < -x), z < 0], [
regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [0, 0], [-1, -1]]]], [[8, 4, 3,
3, 2], [v = 1, u = 0, And(-1 < x,x < 0), And(x < y,y < -x), z = 0], [
regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [0, 0], [0, 0]]]], [[8, 4, 3, 3,
3], [v = 1, u = 0, And(-1 < x,x < 0), And(x < y,y < -x), 0 < z], [
regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [0, 0], [1, 1]]]], [[10, 11, 6,
4, 1], [v = 2^(1/2), v < 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, 11, 6, 4, 2], [v = 2^(1/2), v < 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, 11, 6, 4, 3], [v = 2^(1/2)
, v < 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, 11, 6, 4, 4], [v = 2^(1/2), v < 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, 11, 6, 4, 5], [
v = 2^(1/2), v < 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, 5, 4
, 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, 0 < y, z = z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [533035/1048576, 133259/262144], [1, 1], [0, 0]]]], [[1, 13, 1, 1, 1
], [v < -2^(1/2), -v < 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], [4, 4], [-9, -9], [-2, -2], [-4, -4]]]], [[1,
13, 1, 1, 2], [v < -2^(1/2), -v < 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], [4, 4], [-9, -9], [-2, -2], [-\
2965821/1048576, -11863283/4194304]]]], [[1, 13, 1, 1, 3], [v < -2^(1/2), -v <
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], [4, 4], [-9, -9], [-2, -2], [-3/8388608,
-3/8388608]]]], [[1, 13, 1, 1, 4], [v < -2^(1/2), -v < 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], [4, 4], [-9, -\
9], [-2, -2], [741455/262144, 2965821/1048576]]]], [[1, 13, 1, 1, 5], [v < -2^
(1/2), -v < 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], [4, 4], [-9, -9], [-2, -2], [4, 4]]]], [[2, 4, 6, 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, 4, 6,
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,
4, 6, 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]]]], [[3,
4, 1, 1, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -1, y < x, z <
0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152,
-354469/524288], [-2, -2], [-3, -3], [-1, -1]]]], [[3, 4, 1, 1, 2], [And(-2^(1
/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -1, y < x, z = 0], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-2,
-2], [-3, -3], [0, 0]]]], [[3, 4, 1, 1, 3], [And(-2^(1/2) < v,v < -1), u = -(v
^2-1)^(1/2), x < -1, y < x, 0 < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [-2, -2], [-3, -3], [1,
1]]]], [[3, 8, 4, 2, 1], [And(-2^(1/2) < v,v < -1), u = -v, x = 1, y = -2, z <
-1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576,
1265743/1048576], [1, 1], [-2, -2], [-2, -2]]]], [[3, 8, 4, 2, 2], [And(-2^(1/
2) < v,v < -1), u = -v, x = 1, y = -2, z = -1], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-2, -\
2], [-1, -1]]]], [[3, 8, 4, 2, 3], [And(-2^(1/2) < v,v < -1), u = -v, x = 1, y
= -2, And(-1 < z,z < 1)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [1265743/1048576, 1265743/1048576], [1, 1], [-2, -2], [0, 0]]]], [[3, 8, 4,
2, 4], [And(-2^(1/2) < v,v < -1), u = -v, x = 1, y = -2, z = 1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [1, 1], [-2, -2], [1, 1]]]], [[3, 8, 4, 2, 5], [And(-2^(1/2)
< v,v < -1), u = -v, x = 1, y = -2, 1 < z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-2, -2], [2,
2]]]], [[6, 1, 6, 3, 1], [v = 0, u < 0, x = 1, And(-u^2-2 < y,y < u^2+2), z <
-(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [1, 1], [0, 0], [-3, -3]]]
], [[6, 1, 6, 3, 2], [v = 0, u < 0, x = 1, And(-u^2-2 < y,y < u^2+2), z = -(u^
2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [1, 1], [0, 0], [-1482911/
1048576, -741455/524288]]]], [[6, 1, 6, 3, 3], [v = 0, u < 0, x = 1, And(-u^2-\
2 < y,y < u^2+2), And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain,
[[0, 0], [-1, -1], [1, 1], [0, 0], [0, 0]]]], [[6, 1, 6, 3, 4], [v = 0, u < 0,
x = 1, And(-u^2-2 < y,y < u^2+2), z = (u^2+1)^(1/2)], [regular_chain, [[0, 0],
[-1, -1], [1, 1], [0, 0], [741455/524288, 1482911/1048576]]]], [[6, 1, 6, 3, 5
], [v = 0, u < 0, x = 1, And(-u^2-2 < y,y < u^2+2), (u^2+1)^(1/2) < z], [
regular_chain, [[0, 0], [-1, -1], [1, 1], [0, 0], [3, 3]]]], [[7, 3, 6, 4, 1],
[And(0 < v,v < 1), And(-v < u,u < v), x = 1, y = u^2-v^2+2, z < -(u^2-v^2+1)^(
1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1, 1], [7/4, 7/4], [-2, -2]]]], [
[7, 3, 6, 4, 2], [And(0 < v,v < 1), And(-v < u,u < v), x = 1, y = u^2-v^2+2, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1, 1], [7/4, 7/4]
, [-1816187/2097152, -3632373/4194304]]]], [[7, 3, 6, 4, 3], [And(0 < v,v < 1)
, And(-v < u,u < v), x = 1, y = u^2-v^2+2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2
-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [1, 1], [7/4, 7/4], [-1/
8388608, -1/8388608]]]], [[7, 3, 6, 4, 4], [And(0 < v,v < 1), And(-v < u,u < v
), x = 1, y = u^2-v^2+2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2],
[0, 0], [1, 1], [7/4, 7/4], [908093/1048576, 454047/524288]]]], [[7, 3, 6, 4,
5], [And(0 < v,v < 1), And(-v < u,u < v), x = 1, y = u^2-v^2+2, (u^2-v^2+1)^(1
/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [1, 1], [7/4, 7/4], [2, 2]]]],
[[9, 2, 1, 3, 1], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, And(x+1 < y,y < -1-
x), z < -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/
1048576, -1265743/1048576], [-2, -2], [0, 0], [-2, -2]]]], [[9, 2, 1, 3, 2], [
And(1 < v,v < 2^(1/2)), u = -v, x < -1, And(x+1 < y,y < -1-x), z = -1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [0, 0], [-1, -1]]]], [[9, 2, 1, 3, 3], [And(1 < v,
v < 2^(1/2)), u = -v, x < -1, And(x+1 < y,y < -1-x), And(-1 < z,z < 1)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [0, 0], [0, 0]]]], [[9, 2, 1, 3, 4], [And(1 < v,v
< 2^(1/2)), u = -v, x < -1, And(x+1 < y,y < -1-x), z = 1], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2,
-2], [0, 0], [1, 1]]]], [[9, 2, 1, 3, 5], [And(1 < v,v < 2^(1/2)), u = -v, x <
-1, And(x+1 < y,y < -1-x), 1 < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [0, 0], [2, 2]]]], [
[9, 6, 6, 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, 6, 6, 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, 6, 6, 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]]]], [[10, 2, 1, 3, 1], [v = 2^
(1/2), u = -v, x < -1, And(x+1 < y,y < -1-x), z < -1], [regular_chain, [[
741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-2, -2],
[0, 0], [-2, -2]]]], [[10, 2, 1, 3, 2], [v = 2^(1/2), u = -v, x < -1, And(x+1
< y,y < -1-x), z = -1], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [-2, -2], [0, 0], [-1, -1]]]], [[10, 2, 1, 3
, 3], [v = 2^(1/2), u = -v, x < -1, And(x+1 < y,y < -1-x), And(-1 < z,z < 1)],
[regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [-2, -2], [0, 0], [0, 0]]]], [[10, 2, 1, 3, 4], [v = 2^(1/2), u = -v,
x < -1, And(x+1 < y,y < -1-x), z = 1], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [-2, -2], [0, 0], [1, 1]
]]], [[10, 2, 1, 3, 5], [v = 2^(1/2), u = -v, x < -1, And(x+1 < y,y < -1-x), 1
< z], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -\
741455/524288], [-2, -2], [0, 0], [2, 2]]]], [[10, 7, 1, 4, 1], [v = 2^(1/2),
And(0 < u,u < 1), x < -1, y = -u^2-x+1, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [1/2, 1/2], [-2, -2], [11/4, 11/4], [0, 0]]]], [[11,
6, 1, 3, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x < -1, And(x-1 < y,y < -x+1),
z = z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-2, -2
], [0, 0], [0, 0]]]], [[11, 11, 1, 4, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,
u < v), 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], [-2, -2], [395145/262144, 1580581/
1048576], [-2, -2]]]], [[11, 11, 1, 4, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u
,u < v), 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], [-2, -2], [395145/262144, 1580581/
1048576], [-735979/1048576, -1471957/2097152]]]], [[11, 11, 1, 4, 3], [2^(1/2)
< v, And((v^2-1)^(1/2) < u,u < v), 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], [-2, -2], [395145/262144, 1580581/1048576], [-1/4194304, -1/
4194304]]]], [[11, 11, 1, 4, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 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], [-2, -2], [395145/262144, 1580581/1048576],
[367989/524288, 735979/1048576]]]], [[11, 11, 1, 4, 5], [2^(1/2) < v, And((v^2
-1)^(1/2) < u,u < v), 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], [-2, -2], [395145/
262144, 1580581/1048576], [2, 2]]]], [[1, 3, 2, 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], [
133001/262144, 532005/1048576], [-2, -2]]]], [[1, 3, 2, 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], [
133001/262144, 532005/1048576], [-735979/1048576, -1471957/2097152]]]], [[1, 3
, 2, 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], [133001/262144, 532005/
1048576], [-1/4194304, -1/4194304]]]], [[1, 3, 2, 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], [
133001/262144, 532005/1048576], [367989/524288, 735979/1048576]]]], [[1, 3, 2,
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], [133001/262144, 532005/1048576], [2, 2]]]], [[1, 7, 7, 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,
u^2-v^2+x+1 < y, z = z], [regular_chain, [[-3, -3], [0, 0], [9, 9], [2, 2], [0
, 0]]]], [[2, 5, 2, 4, 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, 9, 7, 5, 1], [v = -2^(1/2), And(1 < u,u
< -v), 1 < x, u^2+x-1 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [2, 2], [4, 4],
[-2, -2]]]], [[2, 9, 7, 5, 2], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, u^2+x-\
1 < y, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [1265743/1048576, 1265743/1048576], [2, 2], [4, 4], [-1417877/2097152, -\
354469/524288]]]], [[2, 9, 7, 5, 3], [v = -2^(1/2), And(1 < u,u < -v), 1 < x,
u^2+x-1 < y, 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],
[4, 4], [0, 0]]]], [[2, 9, 7, 5, 4], [v = -2^(1/2), And(1 < u,u < -v), 1 < x,
u^2+x-1 < y, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [2, 2], [4, 4], [354469/524288, 
708939/1048576]]]], [[2, 9, 7, 5, 5], [v = -2^(1/2), And(1 < u,u < -v), 1 < x,
u^2+x-1 < y, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [2, 2], [4, 4], [2, 2]]]], [[4, 4
, 1, 1, 1], [v = -1, u = 0, x < -1, y < x, z < 0], [regular_chain, [[-1, -1],
[0, 0], [-2, -2], [-3, -3], [-1, -1]]]], [[4, 4, 1, 1, 2], [v = -1, u = 0, x <
-1, y < x, z = 0], [regular_chain, [[-1, -1], [0, 0], [-2, -2], [-3, -3], [0,
0]]]], [[4, 4, 1, 1, 3], [v = -1, u = 0, x < -1, y < x, 0 < z], [regular_chain
, [[-1, -1], [0, 0], [-2, -2], [-3, -3], [1, 1]]]], [[5, 1, 6, 2, 1], [And(-1
< v,v < 0), u < v, x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-2, -2], [1, 1], [-23/4, -23/4], [-4, -4]]]], [
[5, 1, 6, 2, 2], [And(-1 < v,v < 0), u < v, x = 1, y = -u^2+v^2-2, z = -(u^2-v
^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [1, 1], [-23/4, -23/4],
[-2285319/1048576, -1142659/524288]]]], [[5, 1, 6, 2, 3], [And(-1 < v,v < 0),
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], [-2, -2], [1, 1], [-23/4, -23/4], [0, 0]]]]
, [[5, 1, 6, 2, 4], [And(-1 < v,v < 0), u < v, x = 1, y = -u^2+v^2-2, z = (u^2
-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [1, 1], [-23/4, -23/4
], [1142659/524288, 2285319/1048576]]]], [[5, 1, 6, 2, 5], [And(-1 < v,v < 0),
u < v, x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2,
-1/2], [-2, -2], [1, 1], [-23/4, -23/4], [4, 4]]]], [[7, 4, 3, 3, 1], [And(0 <
v,v < 1), u = v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z < -1], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [0, 0], [-2, -2]]]], [[7, 4, 3
, 3, 2], [And(0 < v,v < 1), u = v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z
= -1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [0, 0], [-1, -1]]]], [
[7, 4, 3, 3, 3], [And(0 < v,v < 1), u = v, And(-1 < x,x < 1), And(-1-x < y,y <
x+1), And(-1 < z,z < 1)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [0,
0], [0, 0]]]], [[7, 4, 3, 3, 4], [And(0 < v,v < 1), u = v, And(-1 < x,x < 1),
And(-1-x < y,y < x+1), z = 1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0]
, [0, 0], [1, 1]]]], [[7, 4, 3, 3, 5], [And(0 < v,v < 1), u = v, And(-1 < x,x
< 1), And(-1-x < y,y < x+1), 1 < z], [regular_chain, [[1/2, 1/2], [1/2, 1/2],
[0, 0], [0, 0], [2, 2]]]], [[8, 4, 3, 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, 4, 3, 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, 4
, 3, 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]]]], [[10, 11, 6, 5, 1], [v
= 2^(1/2), v < u, x = 1, u^2 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [1, 1], [10, 10], [-4, -4]]]], [[10,
11, 6, 5, 2], [v = 2^(1/2), v < u, x = 1, u^2 < y, z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1, 1], [10, 10], [-\
2965821/1048576, -11863283/4194304]]]], [[10, 11, 6, 5, 3], [v = 2^(1/2), v <
u, x = 1, u^2 < y, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain,
[[741455/524288, 1482911/1048576], [3, 3], [1, 1], [10, 10], [-3/8388608, -3/
8388608]]]], [[10, 11, 6, 5, 4], [v = 2^(1/2), v < u, x = 1, u^2 < y, z = (u^2
-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1, 1],
[10, 10], [741455/262144, 2965821/1048576]]]], [[10, 11, 6, 5, 5], [v = 2^(1/2
), v < u, x = 1, u^2 < y, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288,
1482911/1048576], [3, 3], [1, 1], [10, 10], [4, 4]]]], [[11, 5, 5, 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], [395403/524288, 395403/524288], [-2, -2], [0, 0]]]], [[1, 
13, 1, 2, 1], [v < -2^(1/2), -v < 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], [4, 4], [-9, -9], [-1, -1], [-4, -\
4]]]], [[1, 13, 1, 2, 2], [v < -2^(1/2), -v < 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], [4, 4], [-9, -9], [-1,
-1], [-2965821/1048576, -11863283/4194304]]]], [[1, 13, 1, 2, 3], [v < -2^(1/2
), -v < 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], [4, 4], [-9, -9], [-1, -1], [-3/
8388608, -3/8388608]]]], [[1, 13, 1, 2, 4], [v < -2^(1/2), -v < 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], [4, 4
], [-9, -9], [-1, -1], [741455/262144, 2965821/1048576]]]], [[1, 13, 1, 2, 5],
[v < -2^(1/2), -v < 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], [4, 4], [-9, -9], [-1, -1], [4, 4]]]], [[2, 4, 5,
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, 4, 5, 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, 4, 5, 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]]]], [[3, 4, 1, 4, 1], [And(-2^(1/2) < v,v <
-1), u = -(v^2-1)^(1/2), x < -1, y = -x, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-2, -2], [2,
2], [-1, -1]]]], [[3, 4, 1, 4, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/
2), x < -1, y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [-2, -2], [2, 2], [0, 0]]]], [[3
, 4, 1, 4, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -1, y = -x,
0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/
2097152, -354469/524288], [-2, -2], [2, 2], [1, 1]]]], [[3, 8, 4, 1, 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]
, [-3, -3], [-2, -2]]]], [[3, 8, 4, 1, 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], [-3, -3], [-1, -1]]]], [[3, 8, 4,
1, 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], [-3, -3], [0, 0]]]], [[3, 8, 4, 1, 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], [-3, -3], [1,
1]]]], [[3, 8, 4, 1, 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], [-3, -3], [2, 2]]]], [[6, 1, 6, 4, 1], [v = 0, u < 0
, x = 1, y = u^2+2, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [1
, 1], [3, 3], [-3, -3]]]], [[6, 1, 6, 4, 2], [v = 0, u < 0, x = 1, y = u^2+2,
z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [1, 1], [3, 3], [-\
1482911/1048576, -741455/524288]]]], [[6, 1, 6, 4, 3], [v = 0, 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, -1], [1, 1], [3, 3], [0, 0]]]], [[6, 1, 6, 4, 4], [v = 0, u < 0, x = 1, y
= u^2+2, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [1, 1], [3, 3]
, [741455/524288, 1482911/1048576]]]], [[6, 1, 6, 4, 5], [v = 0, u < 0, x = 1,
y = u^2+2, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [1, 1], [3,
3], [3, 3]]]], [[7, 3, 6, 1, 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], [-3, -3], [-2, -2]]]], [[7, 3, 6, 1, 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], [-3, -3], [-1816187/2097152, -3632373/4194304]]]], [[7
, 3, 6, 1, 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], [-3, -3], [-1/8388608, -1/8388608]]]], [[7, 3, 6, 1, 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], [-3, -3], [908093/1048576,
454047/524288]]]], [[7, 3, 6, 1, 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], [-3, -3], [2, 2]]]], [[9, 2, 2, 1, 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], [-1, -1], [-2, -2]]]], [[9,
2, 2, 1, 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], [-1, -1], [-1, -1]]]], [[9, 2, 2, 1, 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], [-1, -1], [0, 0]]]], [[9, 2, 2, 1, 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], [-1, -1], [1, 1]]]], [[9, 2, 2,
1, 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], [-1, -1], [2, 2]]]], [[9, 6, 6, 3, 1], [And(1 < v,v < 2^(1/2)), u = (v^
2-1)^(1/2), x = 1, And(-1 < y,y < 1), z < 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [1, 1], [0, 0], [-\
1, -1]]]], [[9, 6, 6, 3, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 1
, And(-1 < y,y < 1), z = 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [1, 1], [0, 0], [0, 0]]]], [[9, 6,
6, 3, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 1, And(-1 < y,y < 1)
, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288,
708939/1048576], [1, 1], [0, 0], [1, 1]]]], [[10, 2, 1, 4, 1], [v = 2^(1/2), u
= -v, x < -1, y = -1-x, z < -1], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [-2, -2], [1, 1], [-2, -2]]]], [
[10, 2, 1, 4, 2], [v = 2^(1/2), u = -v, x < -1, y = -1-x, z = -1], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [-2, -2], [1, 1], [-1, -1]]]], [[10, 2, 1, 4, 3], [v = 2^(1/2), u = -
v, x < -1, y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [-2, -2], [1, 1], [0, 0]
]]], [[10, 2, 1, 4, 4], [v = 2^(1/2), u = -v, x < -1, y = -1-x, z = 1], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [-2, -2], [1, 1], [1, 1]]]], [[10, 2, 1, 4, 5], [v = 2^(1/2), u = -v,
x < -1, y = -1-x, 1 < z], [regular_chain, [[741455/524288, 1482911/1048576], [
-1482911/1048576, -741455/524288], [-2, -2], [1, 1], [2, 2]]]], [[10, 7, 1, 1,
1], [v = 2^(1/2), And(0 < u,u < 1), x < -1, y < u^2+x-1, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-2, -2], [-4, -\
4], [0, 0]]]], [[11, 6, 2, 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, 1, 3, 1], [2^(1/2) < v, And((v^2-1)^(1
/2) < u,u < v), x < -1, And(u^2-v^2+x+1 < y,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
], [0, 0], [-2, -2]]]], [[11, 11, 1, 3, 2], [2^(1/2) < v, And((v^2-1)^(1/2) <
u,u < v), x < -1, And(u^2-v^2+x+1 < y,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], [0,
0], [-735979/1048576, -1471957/2097152]]]], [[11, 11, 1, 3, 3], [2^(1/2) < v,
And((v^2-1)^(1/2) < u,u < v), x < -1, And(u^2-v^2+x+1 < y,y < -u^2+v^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], [0, 0], [-1/4194304, -1/4194304]]
]], [[11, 11, 1, 3, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x < -1, 
And(u^2-v^2+x+1 < y,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], [0, 0], [367989/524288,
735979/1048576]]]], [[11, 11, 1, 3, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u
< v), x < -1, And(u^2-v^2+x+1 < y,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], [0, 0],
[2, 2]]]], [[1, 3, 2, 5, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x =
-1, -u^2+v^2 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-1, -1], [2, 2], [-2, -2]]]], [[1, 3, 2,
5, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, -u^2+v^2 < y, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-1, -1], [2, 2], [-735979/1048576, -1471957/2097152]]]], [[1, 3, 2,
5, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, -u^2+v^2 < y, 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], [2, 2], [-1/4194304, -1/4194304]
]]], [[1, 3, 2, 5, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, -
u^2+v^2 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-1, -1], [2, 2], [367989/524288, 735979/1048576]]
]], [[1, 3, 2, 5, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, -u
^2+v^2 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-1, -1], [2, 2], [2, 2]]]], [[1, 7, 7, 2, 1], [v
< -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, y = -u^
2+v^2-x-1, z = z], [regular_chain, [[-3, -3], [0, 0], [9, 9], [-1, -1], [0, 0]
]]], [[2, 5, 3, 2, 1], [v = -2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < -u^2+1
), y = u^2+x-1, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [
-1/2, -1/2], [-1/8, -1/8], [-7/8, -7/8], [0, 0]]]], [[2, 9, 7, 4, 1], [v = -2^
(1/2), And(1 < u,u < -v), 1 < x, y = u^2+x-1, z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [2, 2], [1288231/524288, 2576463/1048576], [-2, -2]]]], [[2, 9, 7, 4
, 2], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, y = u^2+x-1, z = -(u^2-1)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 
1265743/1048576], [2, 2], [1288231/524288, 2576463/1048576], [-1417877/2097152
, -354469/524288]]]], [[2, 9, 7, 4, 3], [v = -2^(1/2), And(1 < u,u < -v), 1 <
x, y = u^2+x-1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[
-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [2, 2],
[1288231/524288, 2576463/1048576], [0, 0]]]], [[2, 9, 7, 4, 4], [v = -2^(1/2),
And(1 < u,u < -v), 1 < x, y = u^2+x-1, z = (u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [2, 2],
[1288231/524288, 2576463/1048576], [354469/524288, 708939/1048576]]]], [[2, 9,
7, 4, 5], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, y = u^2+x-1, (u^2-1)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 
1265743/1048576], [2, 2], [1288231/524288, 2576463/1048576], [2, 2]]]], [[4, 4
, 1, 2, 1], [v = -1, u = 0, x < -1, y = x, z < 0], [regular_chain, [[-1, -1],
[0, 0], [-2, -2], [-2, -2], [-1, -1]]]], [[4, 4, 1, 2, 2], [v = -1, u = 0, x <
-1, y = x, z = 0], [regular_chain, [[-1, -1], [0, 0], [-2, -2], [-2, -2], [0,
0]]]], [[4, 4, 1, 2, 3], [v = -1, u = 0, x < -1, y = x, 0 < z], [regular_chain
, [[-1, -1], [0, 0], [-2, -2], [-2, -2], [1, 1]]]], [[5, 1, 5, 4, 1], [And(-1
< v,v < 0), u < v, And(-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], [-2, -2], [0, 0], [19/4, 19/4], [-4, -4]]]],
[[5, 1, 5, 4, 2], [And(-1 < v,v < 0), u < v, And(-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], [-2, -2], [0, 0], [
19/4, 19/4], [-2285319/1048576, -1142659/524288]]]], [[5, 1, 5, 4, 3], [And(-1
< v,v < 0), u < v, And(-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], [-2, -2], [0, 0],
[19/4, 19/4], [0, 0]]]], [[5, 1, 5, 4, 4], [And(-1 < v,v < 0), u < v, And(-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], [-2, -2], [0, 0], [19/4, 19/4], [1142659/524288, 2285319/1048576]]]], [[5,
1, 5, 4, 5], [And(-1 < v,v < 0), u < v, And(-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], [-2, -2], [0, 0], [19/4,
19/4], [4, 4]]]], [[7, 4, 4, 1, 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], [-3, -3], [-2, -2]]]],
[[7, 4, 4, 1, 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], [-3, -3], [-1, -1]]]], [[7, 4,
4, 1, 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], [-3, -3], [0, 0]]]], [[7, 4, 4
, 1, 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], [-3, -3], [1, 1]]]], [[7, 4, 4, 1, 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], [-3, -3], [2, 2]]]], [[8, 4, 3, 1, 1], [v = 1, u = 0, And(-1 < x,x <
0), y < x, z < 0], [regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [-2, -2], [-\
1, -1]]]], [[8, 4, 3, 1, 2], [v = 1, u = 0, And(-1 < x,x < 0), y < x, z = 0],
[regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[8, 4, 3,
1, 3], [v = 1, u = 0, And(-1 < x,x < 0), y < x, 0 < z], [regular_chain, [[1, 1
], [0, 0], [-1/2, -1/2], [-2, -2], [1, 1]]]], [[10, 11, 7, 1, 1], [v = 2^(1/2)
, v < u, 1 < x, y < -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [2, 2], [-11, -11], [-4, -4]]]], [[10, 11, 7
, 1, 2], [v = 2^(1/2), v < u, 1 < x, y < -u^2-x+1, z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [2, 2], [-11, -11],
[-2965821/1048576, -11863283/4194304]]]], [[10, 11, 7, 1, 3], [v = 2^(1/2), v
< u, 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], [3, 3], [2, 2], [-11, -11],
[-3/8388608, -3/8388608]]]], [[10, 11, 7, 1, 4], [v = 2^(1/2), v < u, 1 < x, y
< -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [2, 2], [-11, -11], [741455/262144, 2965821/1048576]]]], [[
10, 11, 7, 1, 5], [v = 2^(1/2), v < u, 1 < x, y < -u^2-x+1, (u^2-1)^(1/2) < z]
, [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [2, 2], [-11, -11
], [4, 4]]]], [[11, 5, 4, 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]]]], [[1, 13, 1, 3, 1], [v < -2^(1/2), -v < u, x < -u^2+v^2-1, And(u^
2-v^2+x+1 < y,y < -u^2+v^2-x-1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3
, -3], [4, 4], [-9, -9], [0, 0], [-4, -4]]]], [[1, 13, 1, 3, 2], [v < -2^(1/2)
, -v < u, x < -u^2+v^2-1, And(u^2-v^2+x+1 < y,y < -u^2+v^2-x-1), z = -(u^2-v^2
+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [-9, -9], [0, 0], [-2965821/
1048576, -11863283/4194304]]]], [[1, 13, 1, 3, 3], [v < -2^(1/2), -v < u, x <
-u^2+v^2-1, And(u^2-v^2+x+1 < y,y < -u^2+v^2-x-1), And(-(u^2-v^2+1)^(1/2) < z,
z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [4, 4], [-9, -9], [0, 0],
[-3/8388608, -3/8388608]]]], [[1, 13, 1, 3, 4], [v < -2^(1/2), -v < u, x < -u^
2+v^2-1, And(u^2-v^2+x+1 < y,y < -u^2+v^2-x-1), z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [4, 4], [-9, -9], [0, 0], [741455/262144, 2965821/
1048576]]]], [[1, 13, 1, 3, 5], [v < -2^(1/2), -v < u, x < -u^2+v^2-1, And(u^2
-v^2+x+1 < y,y < -u^2+v^2-x-1), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3,
-3], [4, 4], [-9, -9], [0, 0], [4, 4]]]], [[2, 4, 5, 5, 1], [v = -2^(1/2), u =
-1, And(0 < x,x < 1), x < y, z < 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1, -1], [1/2, 1/2], [2, 2], [-1, -1]]]], [[2, 4, 5, 5, 2], [
v = -2^(1/2), u = -1, And(0 < x,x < 1), x < y, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/2], [2, 2], [0, 0]]]], [[2
, 4, 5, 5, 3], [v = -2^(1/2), u = -1, And(0 < x,x < 1), x < y, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/2], [2,
2], [1, 1]]]], [[3, 4, 1, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2)
, x < -1, And(x < y,y < -x), z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [-2, -2], [0, 0], [-1, -\
1]]]], [[3, 4, 1, 3, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -1
, And(x < y,y < -x), z = 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [-2, -2], [0, 0], [0, 0]]]], [[3
, 4, 1, 3, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -1, And(x <
y,y < -x), 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [-2, -2], [0, 0], [1, 1]]]], [[3, 8, 3, 5, 1
], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 1), x+1 < y, z < -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [0, 0], [2, 2], [-2, -2]]]], [[3, 8, 3, 5, 2], [And(-2^(1/2)
< v,v < -1), u = -v, And(-1 < x,x < 1), x+1 < y, z = -1], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0]
, [2, 2], [-1, -1]]]], [[3, 8, 3, 5, 3], [And(-2^(1/2) < v,v < -1), u = -v, 
And(-1 < x,x < 1), x+1 < y, And(-1 < z,z < 1)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [2, 2]
, [0, 0]]]], [[3, 8, 3, 5, 4], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x
< 1), x+1 < y, z = 1], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1265743/1048576, 1265743/1048576], [0, 0], [2, 2], [1, 1]]]], [[3, 8, 3, 5, 5
], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 1), x+1 < y, 1 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [0, 0], [2, 2], [2, 2]]]], [[6, 1, 6, 5, 1], [v = 0, u < 0,
x = 1, u^2+2 < y, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [1,
1], [4, 4], [-3, -3]]]], [[6, 1, 6, 5, 2], [v = 0, u < 0, x = 1, u^2+2 < y, z
= -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [1, 1], [4, 4], [-\
1482911/1048576, -741455/524288]]]], [[6, 1, 6, 5, 3], [v = 0, u < 0, x = 1, u
^2+2 < y, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0],
[-1, -1], [1, 1], [4, 4], [0, 0]]]], [[6, 1, 6, 5, 4], [v = 0, u < 0, x = 1, u
^2+2 < y, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [1, 1], [4, 4
], [741455/524288, 1482911/1048576]]]], [[6, 1, 6, 5, 5], [v = 0, u < 0, x = 1
, u^2+2 < y, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [1, 1], [4
, 4], [3, 3]]]], [[7, 3, 6, 2, 1], [And(0 < v,v < 1), And(-v < u,u < v), x = 1
, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0]
, [1, 1], [-7/4, -7/4], [-2, -2]]]], [[7, 3, 6, 2, 2], [And(0 < v,v < 1), And(
-v < u,u < v), x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain,
[[1/2, 1/2], [0, 0], [1, 1], [-7/4, -7/4], [-1816187/2097152, -3632373/4194304
]]]], [[7, 3, 6, 2, 3], [And(0 < v,v < 1), And(-v < u,u < v), x = 1, y = -u^2+
v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1
/2, 1/2], [0, 0], [1, 1], [-7/4, -7/4], [-1/8388608, -1/8388608]]]], [[7, 3, 6
, 2, 4], [And(0 < v,v < 1), And(-v < u,u < v), x = 1, y = -u^2+v^2-2, z = (u^2
-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1, 1], [-7/4, -7/4], [
908093/1048576, 454047/524288]]]], [[7, 3, 6, 2, 5], [And(0 < v,v < 1), And(-v
< u,u < v), x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1
/2, 1/2], [0, 0], [1, 1], [-7/4, -7/4], [2, 2]]]], [[9, 2, 1, 5, 1], [And(1 <
v,v < 2^(1/2)), u = -v, x < -1, -1-x < y, z < -1], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [2,
2], [-2, -2]]]], [[9, 2, 1, 5, 2], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, -1
-x < y, z = -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [-2, -2], [2, 2], [-1, -1]]]], [[9, 2, 1,
5, 3], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, -1-x < y, And(-1 < z,z < 1)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [2, 2], [0, 0]]]], [[9, 2, 1, 5, 4], [And(1 < v,v
< 2^(1/2)), u = -v, x < -1, -1-x < y, z = 1], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [2,
2], [1, 1]]]], [[9, 2, 1, 5, 5], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, -1-x
< y, 1 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/
1048576, -1265743/1048576], [-2, -2], [2, 2], [2, 2]]]], [[9, 6, 6, 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, 6, 6, 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, 6, 6, 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]]]], [[10, 2, 1, 5, 1], [v =
2^(1/2), u = -v, x < -1, -1-x < y, z < -1], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [-2, -2], [2, 2], [-2, -\
2]]]], [[10, 2, 1, 5, 2], [v = 2^(1/2), u = -v, x < -1, -1-x < y, z = -1], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [-2, -2], [2, 2], [-1, -1]]]], [[10, 2, 1, 5, 3], [v = 2^(1/2), u = -
v, x < -1, -1-x < y, And(-1 < z,z < 1)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [-2, -2], [2, 2], [0, 0]
]]], [[10, 2, 1, 5, 4], [v = 2^(1/2), u = -v, x < -1, -1-x < y, z = 1], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [-2, -2], [2, 2], [1, 1]]]], [[10, 2, 1, 5, 5], [v = 2^(1/2), u = -v,
x < -1, -1-x < y, 1 < z], [regular_chain, [[741455/524288, 1482911/1048576], [
-1482911/1048576, -741455/524288], [-2, -2], [2, 2], [2, 2]]]], [[10, 7, 1, 2,
1], [v = 2^(1/2), And(0 < u,u < 1), x < -1, y = u^2+x-1, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-2, -2], [-11/4
, -11/4], [0, 0]]]], [[11, 6, 1, 5, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x <
-1, -x+1 < y, z = z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [-2, -2], [4, 4], [0, 0]]]], [[11, 11, 1, 2, 1], [2^(1/2) < v, And((
v^2-1)^(1/2) < u,u < v), 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], [-2, -2], [-\
3161161/2097152, -395145/262144], [-2, -2]]]], [[11, 11, 1, 2, 2], [2^(1/2) <
v, And((v^2-1)^(1/2) < u,u < v), 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], [-2, -2], [-\
3161161/2097152, -395145/262144], [-735979/1048576, -1471957/2097152]]]], [[11
, 11, 1, 2, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 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], [-2, -2], [-3161161/2097152, -395145
/262144], [-1/4194304, -1/4194304]]]], [[11, 11, 1, 2, 4], [2^(1/2) < v, And((
v^2-1)^(1/2) < u,u < v), 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], [-2, -2], [-\
3161161/2097152, -395145/262144], [367989/524288, 735979/1048576]]]], [[11, 11
, 1, 2, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 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], [-2, -2], [-3161161/2097152, -395145/262144], [2, 2]]]], [[1, 3, 3,
1, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1
), y < u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288], [-2, -2]
, [-2, -2]]]], [[1, 3, 3, 1, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)),
And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-391287/
524288, -391287/524288], [-2, -2], [-735979/1048576, -1471957/2097152]]]], [[1
, 3, 3, 1, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u
^2+v^2-1), y < u^2-v^2+x+1, And(-(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], [-2, -2], [-1/4194304, -1/4194304]]]], [[1, 3, 3, 1,
4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1),
y < u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-391287/524288, -391287/524288], [-2, -2], [
367989/524288, 735979/1048576]]]], [[1, 3, 3, 1, 5], [v < -2^(1/2), And(v < u,
u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2+x+1, (u^2-v^2+1)^
(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [
-391287/524288, -391287/524288], [-2, -2], [2, 2]]]], [[1, 7, 7, 3, 1], [v < -
2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, And(-u^2+v
^2-x-1 < y,y < u^2-v^2+x+1), z = z], [regular_chain, [[-3, -3], [0, 0], [9, 9]
, [0, 0], [0, 0]]]], [[2, 5, 3, 1, 1], [v = -2^(1/2), And(-1 < u,u < 0), And(-\
1 < x,x < -u^2+1), y < u^2+x-1, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-1/8, -1/8], [-2, -2], [0, 0]]]], [[2, 9, 7, 3,
1], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, And(-u^2-x+1 < y,y < u^2+x-1), z
< -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [2, 2], [0, 0], [-2, -2]]]], [[2, 9, 7, 3,
2], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, And(-u^2-x+1 < y,y < u^2+x-1), z
= -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [2, 2], [0, 0], [-1417877/2097152, -354469/
524288]]]], [[2, 9, 7, 3, 3], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, And(-u^
2-x+1 < y,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], [0, 0], [0, 0]]]], [[2, 9, 7, 3, 4], [v = -2^(1/2), And(1 <
u,u < -v), 1 < x, And(-u^2-x+1 < y,y < u^2+x-1), z = (u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [2, 2], [0, 0], [354469/524288, 708939/1048576]]]], [[2, 9, 7, 3, 5]
, [v = -2^(1/2), And(1 < u,u < -v), 1 < x, And(-u^2-x+1 < y,y < u^2+x-1), (u^2
-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [2, 2], [0, 0], [2, 2]]]], [[4, 4, 1, 3, 1], [v = -\
1, u = 0, x < -1, And(x < y,y < -x), z < 0], [regular_chain, [[-1, -1], [0, 0]
, [-2, -2], [0, 0], [-1, -1]]]], [[4, 4, 1, 3, 2], [v = -1, u = 0, x < -1, And
(x < y,y < -x), z = 0], [regular_chain, [[-1, -1], [0, 0], [-2, -2], [0, 0], [
0, 0]]]], [[4, 4, 1, 3, 3], [v = -1, u = 0, x < -1, And(x < y,y < -x), 0 < z],
[regular_chain, [[-1, -1], [0, 0], [-2, -2], [0, 0], [1, 1]]]], [[5, 1, 5, 5,
1], [And(-1 < v,v < 0), u < v, And(-1 < x,x < 1), u^2-v^2+x+1 < y, z < -(u^2-v
^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [0, 0], [6, 6], [-4, -4
]]]], [[5, 1, 5, 5, 2], [And(-1 < v,v < 0), u < v, And(-1 < x,x < 1), u^2-v^2+
x+1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [0,
0], [6, 6], [-2285319/1048576, -1142659/524288]]]], [[5, 1, 5, 5, 3], [And(-1
< v,v < 0), u < v, And(-1 < x,x < 1), u^2-v^2+x+1 < y, And(-(u^2-v^2+1)^(1/2)
< z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-2, -2], [0, 0],
[6, 6], [0, 0]]]], [[5, 1, 5, 5, 4], [And(-1 < v,v < 0), u < v, And(-1 < x,x <
1), u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
2, -2], [0, 0], [6, 6], [1142659/524288, 2285319/1048576]]]], [[5, 1, 5, 5, 5]
, [And(-1 < v,v < 0), u < v, And(-1 < x,x < 1), u^2-v^2+x+1 < y, (u^2-v^2+1)^(
1/2) < z], [regular_chain, [[-1/2, -1/2], [-2, -2], [0, 0], [6, 6], [4, 4]]]],
[[7, 4, 3, 5, 1], [And(0 < v,v < 1), u = v, And(-1 < x,x < 1), x+1 < y, z < -1
], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [2, 2], [-2, -2]]]], [[7,
4, 3, 5, 2], [And(0 < v,v < 1), u = v, And(-1 < x,x < 1), x+1 < y, z = -1], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [2, 2], [-1, -1]]]], [[7, 4, 3
, 5, 3], [And(0 < v,v < 1), u = v, And(-1 < x,x < 1), x+1 < y, And(-1 < z,z <
1)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [2, 2], [0, 0]]]], [[7,
4, 3, 5, 4], [And(0 < v,v < 1), u = v, And(-1 < x,x < 1), x+1 < y, z = 1], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [2, 2], [1, 1]]]], [[7, 4, 3,
5, 5], [And(0 < v,v < 1), u = v, And(-1 < x,x < 1), x+1 < y, 1 < z], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [2, 2], [2, 2]]]], [[8, 4, 2,
5, 1], [v = 1, u = 0, x = -1, 1 < y, z < 0], [regular_chain, [[1, 1], [0, 0],
[-1, -1], [2, 2], [-1, -1]]]], [[8, 4, 2, 5, 2], [v = 1, u = 0, x = -1, 1 < y,
z = 0], [regular_chain, [[1, 1], [0, 0], [-1, -1], [2, 2], [0, 0]]]], [[8, 4,
2, 5, 3], [v = 1, u = 0, x = -1, 1 < y, 0 < z], [regular_chain, [[1, 1], [0, 0
], [-1, -1], [2, 2], [1, 1]]]], [[10, 11, 7, 2, 1], [v = 2^(1/2), v < u, 1 < x
, y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [2, 2], [-10, -10], [-4, -4]]]], [[10, 11, 7, 2, 2], [v = 2^
(1/2), v < u, 1 < x, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [2, 2], [-10, -10], [-2965821/1048576
, -11863283/4194304]]]], [[10, 11, 7, 2, 3], [v = 2^(1/2), v < u, 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], [3, 3], [2, 2], [-10, -10], [-3/8388608, -3/8388608]
]]], [[10, 11, 7, 2, 4], [v = 2^(1/2), v < u, 1 < x, y = -u^2-x+1, z = (u^2-1)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [2, 2], [-\
10, -10], [741455/262144, 2965821/1048576]]]], [[10, 11, 7, 2, 5], [v = 2^(1/2
), v < u, 1 < x, y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [2, 2], [-10, -10], [4, 4]]]], [[11, 5, 4, 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]]]], [[1, 3, 3, 2, 1]
, [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y
= u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-391287/524288, -391287/524288], [-266003/1048576
, -133001/524288], [-2, -2]]]], [[1, 3, 3, 2, 2], [v < -2^(1/2), And(v < u,u <
-(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1, z = -(u^2-v^2+1)
^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-\
391287/524288, -391287/524288], [-266003/1048576, -133001/524288], [-735979/
1048576, -1471957/2097152]]]], [[1, 3, 3, 2, 3], [v < -2^(1/2), And(v < u,u <
-(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1, And(-(u^2-v^2+1)
^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-391287/524288, -391287/524288], [-266003/1048576
, -133001/524288], [-1/4194304, -1/4194304]]]], [[1, 3, 3, 2, 4], [v < -2^(1/2
), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1,
z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549
/2097152], [-391287/524288, -391287/524288], [-266003/1048576, -133001/524288]
, [367989/524288, 735979/1048576]]]], [[1, 3, 3, 2, 5], [v < -2^(1/2), And(v <
u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1, (u^2-v^2+1
)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152],
[-391287/524288, -391287/524288], [-266003/1048576, -133001/524288], [2, 2]]]]
, [[1, 8, 1, 3, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x < -1, And(x-1 < y,y <
-x+1), z = z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-2,
-2], [0, 0], [0, 0]]]], [[2, 5, 3, 4, 1], [v = -2^(1/2), And(-1 < u,u < 0), 
And(-1 < x,x < -u^2+1), y = -u^2-x+1, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-1/8, -1/8], [7/8, 7/8], [0, 0]]]], [
[2, 10, 1, 5, 1], [v = -2^(1/2), u = -v, x < -1, -1-x < y, z < -1], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-2, -2], [2, 2], [-2, -2]]]], [[2, 10, 1, 5, 2], [v = -2^(1/2), u =
-v, x < -1, -1-x < y, z = -1], [regular_chain, [[-1482911/1048576, -741455/
524288], [741455/524288, 1482911/1048576], [-2, -2], [2, 2], [-1, -1]]]], [[2,
10, 1, 5, 3], [v = -2^(1/2), u = -v, x < -1, -1-x < y, And(-1 < z,z < 1)], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-2, -2], [2, 2], [0, 0]]]], [[2, 10, 1, 5, 4], [v = -2^(1/2), u = -
v, x < -1, -1-x < y, z = 1], [regular_chain, [[-1482911/1048576, -741455/
524288], [741455/524288, 1482911/1048576], [-2, -2], [2, 2], [1, 1]]]], [[2, 
10, 1, 5, 5], [v = -2^(1/2), u = -v, x < -1, -1-x < y, 1 < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-2, -2
], [2, 2], [2, 2]]]], [[4, 4, 1, 4, 1], [v = -1, u = 0, x < -1, y = -x, z < 0]
, [regular_chain, [[-1, -1], [0, 0], [-2, -2], [2, 2], [-1, -1]]]], [[4, 4, 1,
4, 2], [v = -1, u = 0, x < -1, y = -x, z = 0], [regular_chain, [[-1, -1], [0,
0], [-2, -2], [2, 2], [0, 0]]]], [[4, 4, 1, 4, 3], [v = -1, u = 0, x < -1, y =
-x, 0 < z], [regular_chain, [[-1, -1], [0, 0], [-2, -2], [2, 2], [1, 1]]]], [[
5, 1, 6, 5, 1], [And(-1 < v,v < 0), u < v, x = 1, u^2-v^2+2 < y, z < -(u^2-v^2
+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [1, 1], [7, 7], [-4, -4]]
]], [[5, 1, 6, 5, 2], [And(-1 < v,v < 0), u < v, x = 1, u^2-v^2+2 < y, z = -(u
^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [1, 1], [7, 7], [-\
2285319/1048576, -1142659/524288]]]], [[5, 1, 6, 5, 3], [And(-1 < v,v < 0), u
< v, x = 1, u^2-v^2+2 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))],
[regular_chain, [[-1/2, -1/2], [-2, -2], [1, 1], [7, 7], [0, 0]]]], [[5, 1, 6,
5, 4], [And(-1 < v,v < 0), u < v, x = 1, u^2-v^2+2 < y, z = (u^2-v^2+1)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [-2, -2], [1, 1], [7, 7], [1142659/524288, 
2285319/1048576]]]], [[5, 1, 6, 5, 5], [And(-1 < v,v < 0), u < v, x = 1, u^2-v
^2+2 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-2, -2], [1,
1], [7, 7], [4, 4]]]], [[7, 4, 4, 3, 1], [And(0 < v,v < 1), u = v, x = 1, And(
-2 < y,y < 2), z < -1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1, 1], [0, 0
], [-2, -2]]]], [[7, 4, 4, 3, 2], [And(0 < v,v < 1), u = v, x = 1, And(-2 < y,
y < 2), z = -1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1, 1], [0, 0], [-1,
-1]]]], [[7, 4, 4, 3, 3], [And(0 < v,v < 1), u = v, x = 1, And(-2 < y,y < 2),
And(-1 < z,z < 1)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1, 1], [0, 0], [
0, 0]]]], [[7, 4, 4, 3, 4], [And(0 < v,v < 1), u = v, x = 1, And(-2 < y,y < 2)
, z = 1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1, 1], [0, 0], [1, 1]]]],
[[7, 4, 4, 3, 5], [And(0 < v,v < 1), u = v, x = 1, And(-2 < y,y < 2), 1 < z],
[regular_chain, [[1/2, 1/2], [1/2, 1/2], [1, 1], [0, 0], [2, 2]]]], [[8, 4, 4,
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, 4, 4, 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, 4, 4, 2,
3], [v = 1, u = 0, x = 0, y = 0, 0 < z], [regular_chain, [[1, 1], [0, 0], [0,
0], [0, 0], [1, 1]]]], [[10, 11, 5, 5, 1], [v = 2^(1/2), v < u, And(-1 < x,x <
1), u^2+x-1 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [3, 3], [0, 0], [9, 9], [-4, -4]]]], [[10, 11, 5, 5, 2], [v = 2^(1/
2), v < u, And(-1 < x,x < 1), u^2+x-1 < y, z = -(u^2-1)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [3, 3], [0, 0], [9, 9], [-2965821/1048576
, -11863283/4194304]]]], [[10, 11, 5, 5, 3], [v = 2^(1/2), v < u, And(-1 < x,x
< 1), u^2+x-1 < y, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain,
[[741455/524288, 1482911/1048576], [3, 3], [0, 0], [9, 9], [-3/8388608, -3/
8388608]]]], [[10, 11, 5, 5, 4], [v = 2^(1/2), v < u, And(-1 < x,x < 1), u^2+x
-1 < y, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[3, 3], [0, 0], [9, 9], [741455/262144, 2965821/1048576]]]], [[10, 11, 5, 5, 5
], [v = 2^(1/2), v < u, And(-1 < x,x < 1), u^2+x-1 < y, (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [0, 0], [9, 9], [4,
4]]]], [[11, 5, 3, 4, 1], [2^(1/2) < v, And(-(v^2-1)^(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], [-22960369/8388608, -22960369/8388608], [-515541/2097152, -515541/
2097152], [395403/524288, 790807/1048576], [0, 0]]]], [[1, 12, 5, 1, 1], [v <
-2^(1/2), u = -v, 1 < x, y < -1-x, z < -1], [regular_chain, [[-3, -3], [3, 3],
[2, 2], [-4, -4], [-2, -2]]]], [[1, 12, 5, 1, 2], [v < -2^(1/2), u = -v, 1 < x
, y < -1-x, z = -1], [regular_chain, [[-3, -3], [3, 3], [2, 2], [-4, -4], [-1,
-1]]]], [[1, 12, 5, 1, 3], [v < -2^(1/2), u = -v, 1 < x, y < -1-x, And(-1 < z,
z < 1)], [regular_chain, [[-3, -3], [3, 3], [2, 2], [-4, -4], [0, 0]]]], [[1,
12, 5, 1, 4], [v < -2^(1/2), u = -v, 1 < x, y < -1-x, z = 1], [regular_chain,
[[-3, -3], [3, 3], [2, 2], [-4, -4], [1, 1]]]], [[1, 12, 5, 1, 5], [v < -2^(1/
2), u = -v, 1 < x, y < -1-x, 1 < z], [regular_chain, [[-3, -3], [3, 3], [2, 2]
, [-4, -4], [2, 2]]]], [[2, 4, 5, 2, 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, 4, 5, 2, 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, 4, 5, 2, 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]]
]], [[3, 3, 7, 3, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2))
, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [0, 0], [-2, -2]]]], [[3, 3, 7, 3, 2], [And(-2^(1/2)
< v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^
2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [0, 0], [-\
1374407/2097152, -687203/1048576]]]], [[3, 3, 7, 3, 3], [And(-2^(1/2) < v,v <
-1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+
1), And(-(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], [0, 0], [0, 0]]]], [[3, 3, 7, 3, 4], [And(-2^(1/2) < v,v < -1), And(v < u,
u < -(v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2-v^
2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [2, 2], [0, 0], [687203/1048576, 171801/262144]]]]
, [[3, 3, 7, 3, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)),
1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [0, 0], [2, 2]]]], [[3, 8, 3, 4, 1], [And(-2^(1/2) <
v,v < -1), u = -v, And(-1 < x,x < 1), y = x+1, z < -1], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0]
, [1, 1], [-2, -2]]]], [[3, 8, 3, 4, 2], [And(-2^(1/2) < v,v < -1), u = -v, 
And(-1 < x,x < 1), y = x+1, z = -1], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [-1, -1]
]]], [[3, 8, 3, 4, 3], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 1), y
= x+1, And(-1 < z,z < 1)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [0, 0]]]], [[3,
8, 3, 4, 4], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 1), y = x+1, z
= 1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576,
1265743/1048576], [0, 0], [1, 1], [1, 1]]]], [[3, 8, 3, 4, 5], [And(-2^(1/2) <
v,v < -1), u = -v, And(-1 < x,x < 1), y = x+1, 1 < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0]
, [1, 1], [2, 2]]]], [[6, 1, 5, 3, 1], [v = 0, u < 0, And(-1 < x,x < 1), And(-
u^2-x-1 < y,y < u^2+x+1), z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -\
1], [0, 0], [0, 0], [-3, -3]]]], [[6, 1, 5, 3, 2], [v = 0, u < 0, And(-1 < x,x
< 1), And(-u^2-x-1 < y,y < u^2+x+1), z = -(u^2+1)^(1/2)], [regular_chain, [[0,
0], [-1, -1], [0, 0], [0, 0], [-1482911/1048576, -741455/524288]]]], [[6, 1, 5
, 3, 3], [v = 0, u < 0, And(-1 < x,x < 1), And(-u^2-x-1 < y,y < u^2+x+1), And(
-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [0,
0], [0, 0], [0, 0]]]], [[6, 1, 5, 3, 4], [v = 0, u < 0, And(-1 < x,x < 1), And
(-u^2-x-1 < y,y < u^2+x+1), z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1,
-1], [0, 0], [0, 0], [741455/524288, 1482911/1048576]]]], [[6, 1, 5, 3, 5], [v
= 0, u < 0, And(-1 < x,x < 1), And(-u^2-x-1 < y,y < u^2+x+1), (u^2+1)^(1/2) <
z], [regular_chain, [[0, 0], [-1, -1], [0, 0], [0, 0], [3, 3]]]], [[7, 3, 5, 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], [1/8,
1/8], [7/8, 7/8], [-2, -2]]]], [[7, 3, 5, 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], [1/8, 1/8], [7/8, 7/8], [-1816187/2097152
, -3632373/4194304]]]], [[7, 3, 5, 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], [1/8, 1/8], [7/8, 7/8
], [-1/8388608, -1/8388608]]]], [[7, 3, 5, 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], [1/8, 1/8], [7/8, 7/8], [908093/1048576,
454047/524288]]]], [[7, 3, 5, 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], [1/8, 1/8], [7/8, 7/8], [2, 2]]]], [[9, 1,
7, 5, 1], [And(1 < v,v < 2^(1/2)), u < -v, 1 < x, u^2-v^2+x+1 < y, z < -(u^2-v
^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [
2, 2], [12, 12], [-4, -4]]]], [[9, 1, 7, 5, 2], [And(1 < v,v < 2^(1/2)), u < -
v, 1 < x, u^2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [2, 2], [12, 12], [-1532401/524288, -\
24518415/8388608]]]], [[9, 1, 7, 5, 3], [And(1 < v,v < 2^(1/2)), u < -v, 1 < x
, u^2-v^2+x+1 < y, 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], [2, 2], [12, 12]
, [-7/16777216, -7/16777216]]]], [[9, 1, 7, 5, 4], [And(1 < v,v < 2^(1/2)), u
< -v, 1 < x, u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [2, 2], [12, 12], [3064801/
1048576, 1532401/524288]]]], [[9, 1, 7, 5, 5], [And(1 < v,v < 2^(1/2)), u < -v
, 1 < x, u^2-v^2+x+1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [2, 2], [12, 12], [4, 4]]]], [[9, 6, 6, 1
, 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], [-2, -2], [-1, -1]]]], [[9, 6, 6, 1, 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], [-2, -2],
[0, 0]]]], [[9, 6, 6, 1, 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], [-2, -2], [1, 1]]]], [[10, 2, 2, 1, 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], [-1, -1], [-2,
-2]]]], [[10, 2, 2, 1, 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], [-1, -1], [-1, -1]]]], [[10, 2, 2, 1, 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], [-1, -1], [0,
0]]]], [[10, 2, 2, 1, 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], [-1, -1], [1, 1]]]], [[10, 2, 2, 1, 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], [-1, -1], [2, 2]]]], [[10, 7, 2,
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]]]], [[11, 6, 2, 3, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -1,
And(-2 < y,y < 2), z = z], [regular_chain, [[3, 3], [-5548543/2097152, -\
2774271/1048576], [-1, -1], [0, 0], [0, 0]]]], [[11, 11, 2, 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], [
133001/262144, 532005/1048576], [-2, -2]]]], [[11, 11, 2, 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], [133001/
262144, 532005/1048576], [-735979/1048576, -1471957/2097152]]]], [[11, 11, 2,
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], [133001/262144, 532005/1048576],
[-1/4194304, -1/4194304]]]], [[11, 11, 2, 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], [133001/262144, 532005/
1048576], [367989/524288, 735979/1048576]]]], [[11, 11, 2, 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], [133001
/262144, 532005/1048576], [2, 2]]]], [[1, 3, 3, 3, 1], [v < -2^(1/2), And(v <
u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -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], [0, 0], [-2, -2]
]]], [[1, 3, 3, 3, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-1 <
x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -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], [0, 0], [-735979/1048576, -1471957/2097152]]]], [[1,
3, 3, 3, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2
+v^2-1), And(u^2-v^2+x+1 < y,y < -u^2+v^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], [0, 0], [-1/4194304, -1/4194304]]]
], [[1, 3, 3, 3, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,
x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -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], [0, 0], [367989/524288, 735979/1048576]]]], [[1, 3, 3
, 3, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2
-1), And(u^2-v^2+x+1 < y,y < -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], [0, 0], [2, 2]]]], [[1, 8, 1, 4, 1], [v < -2^(1/2), u
= (v^2-2)^(1/2), x < -1, y = -x+1, z = z], [regular_chain, [[-3, -3], [2774271
/1048576, 10837/4096], [-2, -2], [3, 3], [0, 0]]]], [[2, 5, 3, 3, 1], [v = -2^
(1/2), And(-1 < u,u < 0), And(-1 < x,x < -u^2+1), And(u^2+x-1 < y,y < -u^2-x+1
), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2],
[-1/8, -1/8], [0, 0], [0, 0]]]], [[2, 10, 1, 4, 1], [v = -2^(1/2), u = -v, x <
-1, y = -1-x, z < -1], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [-2, -2], [1, 1], [-2, -2]]]], [[2, 10, 1, 4,
2], [v = -2^(1/2), u = -v, x < -1, y = -1-x, z = -1], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-2, -2],
[1, 1], [-1, -1]]]], [[2, 10, 1, 4, 3], [v = -2^(1/2), u = -v, x < -1, y = -1-
x, And(-1 < z,z < 1)], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [-2, -2], [1, 1], [0, 0]]]], [[2, 10, 1, 4, 4
], [v = -2^(1/2), u = -v, x < -1, y = -1-x, z = 1], [regular_chain, [[-1482911
/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-2, -2], [1, 1],
[1, 1]]]], [[2, 10, 1, 4, 5], [v = -2^(1/2), u = -v, x < -1, y = -1-x, 1 < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-2, -2], [1, 1], [2, 2]]]], [[4, 4, 1, 5, 1], [v = -1, u = 0, x < -\
1, -x < y, z < 0], [regular_chain, [[-1, -1], [0, 0], [-2, -2], [3, 3], [-1, -\
1]]]], [[4, 4, 1, 5, 2], [v = -1, u = 0, x < -1, -x < y, z = 0], [
regular_chain, [[-1, -1], [0, 0], [-2, -2], [3, 3], [0, 0]]]], [[4, 4, 1, 5, 3
], [v = -1, u = 0, x < -1, -x < y, 0 < z], [regular_chain, [[-1, -1], [0, 0],
[-2, -2], [3, 3], [1, 1]]]], [[5, 1, 7, 1, 1], [And(-1 < v,v < 0), 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], [
-2, -2], [2, 2], [-8, -8], [-4, -4]]]], [[5, 1, 7, 1, 2], [And(-1 < v,v < 0),
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], [-2, -2], [2, 2], [-8, -8], [-2285319/1048576, -1142659/524288]]]],
[[5, 1, 7, 1, 3], [And(-1 < v,v < 0), 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], [-2
, -2], [2, 2], [-8, -8], [0, 0]]]], [[5, 1, 7, 1, 4], [And(-1 < v,v < 0), 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], [-2, -2], [2, 2], [-8, -8], [1142659/524288, 2285319/1048576]]]], [[5, 1,
7, 1, 5], [And(-1 < v,v < 0), 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], [-2, -2], [2, 2], [-8, -8], [4, 4]]]],
[[7, 4, 4, 2, 1], [And(0 < v,v < 1), u = v, x = 1, y = -2, z < -1], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [1, 1], [-2, -2], [-2, -2]]]], [[7, 4,
4, 2, 2], [And(0 < v,v < 1), u = v, x = 1, y = -2, z = -1], [regular_chain, [[
1/2, 1/2], [1/2, 1/2], [1, 1], [-2, -2], [-1, -1]]]], [[7, 4, 4, 2, 3], [And(0
< v,v < 1), u = v, x = 1, y = -2, And(-1 < z,z < 1)], [regular_chain, [[1/2, 1
/2], [1/2, 1/2], [1, 1], [-2, -2], [0, 0]]]], [[7, 4, 4, 2, 4], [And(0 < v,v <
1), u = v, x = 1, y = -2, z = 1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1,
1], [-2, -2], [1, 1]]]], [[7, 4, 4, 2, 5], [And(0 < v,v < 1), u = v, x = 1, y
= -2, 1 < z], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1, 1], [-2, -2], [2, 2
]]]], [[8, 4, 4, 1, 1], [v = 1, u = 0, x = 0, y < 0, z < 0], [regular_chain, [
[1, 1], [0, 0], [0, 0], [-1, -1], [-1, -1]]]], [[8, 4, 4, 1, 2], [v = 1, u = 0
, x = 0, y < 0, z = 0], [regular_chain, [[1, 1], [0, 0], [0, 0], [-1, -1], [0,
0]]]], [[8, 4, 4, 1, 3], [v = 1, u = 0, x = 0, y < 0, 0 < z], [regular_chain,
[[1, 1], [0, 0], [0, 0], [-1, -1], [1, 1]]]], [[10, 11, 6, 1, 1], [v = 2^(1/2)
, v < u, x = 1, y < -u^2, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [3, 3], [1, 1], [-10, -10], [-4, -4]]]], [[10, 11, 6, 1, 2
], [v = 2^(1/2), v < u, x = 1, y < -u^2, z = -(u^2-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [3, 3], [1, 1], [-10, -10], [-2965821/
1048576, -11863283/4194304]]]], [[10, 11, 6, 1, 3], [v = 2^(1/2), v < 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], [-10, -10], [-3/8388608, -3/
8388608]]]], [[10, 11, 6, 1, 4], [v = 2^(1/2), v < u, x = 1, y < -u^2, z = (u^
2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1, 1]
, [-10, -10], [741455/262144, 2965821/1048576]]]], [[10, 11, 6, 1, 5], [v = 2^
(1/2), v < u, x = 1, y < -u^2, (u^2-1)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [1, 1], [-10, -10], [4, 4]]]], [[11, 5, 3, 5
, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x <
-u^2+v^2-1), -u^2+v^2-x-1 < y, z = z], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [-515541/2097152, -515541/2097152], [2, 2], [0, 0
]]]], [[1, 12, 5, 2, 1], [v < -2^(1/2), u = -v, 1 < x, y = -1-x, z < -1], [
regular_chain, [[-3, -3], [3, 3], [2, 2], [-3, -3], [-2, -2]]]], [[1, 12, 5, 2
, 2], [v < -2^(1/2), u = -v, 1 < x, y = -1-x, z = -1], [regular_chain, [[-3, -\
3], [3, 3], [2, 2], [-3, -3], [-1, -1]]]], [[1, 12, 5, 2, 3], [v < -2^(1/2), u
= -v, 1 < x, y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [3, 3],
[2, 2], [-3, -3], [0, 0]]]], [[1, 12, 5, 2, 4], [v < -2^(1/2), u = -v, 1 < x,
y = -1-x, z = 1], [regular_chain, [[-3, -3], [3, 3], [2, 2], [-3, -3], [1, 1]]
]], [[1, 12, 5, 2, 5], [v < -2^(1/2), u = -v, 1 < x, y = -1-x, 1 < z], [
regular_chain, [[-3, -3], [3, 3], [2, 2], [-3, -3], [2, 2]]]], [[2, 4, 5, 3, 1
], [v = -2^(1/2), u = -1, And(0 < x,x < 1), And(-x < y,y < x), z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/2], [0,
0], [-1, -1]]]], [[2, 4, 5, 3, 2], [v = -2^(1/2), u = -1, And(0 < x,x < 1), 
And(-x < y,y < x), z = 0], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1, -1], [1/2, 1/2], [0, 0], [0, 0]]]], [[2, 4, 5, 3, 3], [v = -2^(1/2), u
= -1, And(0 < x,x < 1), And(-x < y,y < x), 0 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [1/2, 1/2], [0, 0], [1, 1]]]], [[3, 3, 7,
2, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -u
^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [-2547523/
1048576, -1273761/524288], [-2, -2]]]], [[3, 3, 7, 2, 2], [And(-2^(1/2) < v,v
< -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [2, 2], [-2547523/1048576, -1273761/524288], [-\
1374407/2097152, -687203/1048576]]]], [[3, 3, 7, 2, 3], [And(-2^(1/2) < v,v <
-1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^
(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [-2547523/
1048576, -1273761/524288], [0, 0]]]], [[3, 3, 7, 2, 4], [And(-2^(1/2) < v,v <
-1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [2, 2], [-2547523/1048576, -1273761/524288], [
687203/1048576, 171801/262144]]]], [[3, 3, 7, 2, 5], [And(-2^(1/2) < v,v < -1)
, And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304,
-3949363/4194304], [2, 2], [-2547523/1048576, -1273761/524288], [2, 2]]]], [[3
, 8, 3, 3, 1], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 1), And(-1-x
< y,y < x+1), z < -1], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1265743/1048576, 1265743/1048576], [0, 0], [0, 0], [-2, -2]]]], [[3, 8, 3, 3,
2], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 1), And(-1-x < y,y < x+1
), z = -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/
1048576, 1265743/1048576], [0, 0], [0, 0], [-1, -1]]]], [[3, 8, 3, 3, 3], [And
(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), And(-\
1 < z,z < 1)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743
/1048576, 1265743/1048576], [0, 0], [0, 0], [0, 0]]]], [[3, 8, 3, 3, 4], [And(
-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z = 1]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [0, 0], [0, 0], [1, 1]]]], [[3, 8, 3, 3, 5], [And(-2^(1/2) <
v,v < -1), u = -v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), 1 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [0, 0], [0, 0], [2, 2]]]], [[6, 1, 5, 4, 1], [v = 0, u < 0,
And(-1 < x,x < 1), y = u^2+x+1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0],
[-1, -1], [0, 0], [2, 2], [-3, -3]]]], [[6, 1, 5, 4, 2], [v = 0, u < 0, And(-1
< x,x < 1), y = u^2+x+1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1
], [0, 0], [2, 2], [-1482911/1048576, -741455/524288]]]], [[6, 1, 5, 4, 3], [v
= 0, u < 0, And(-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, -1], [0, 0], [2, 2], [0, 0]]]], [[6, 1
, 5, 4, 4], [v = 0, u < 0, And(-1 < x,x < 1), y = u^2+x+1, z = (u^2+1)^(1/2)],
[regular_chain, [[0, 0], [-1, -1], [0, 0], [2, 2], [741455/524288, 1482911/
1048576]]]], [[6, 1, 5, 4, 5], [v = 0, u < 0, And(-1 < x,x < 1), y = u^2+x+1,
(u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [0, 0], [2, 2], [3, 3]]
]], [[7, 3, 5, 5, 1], [And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 < x
,x < 1), u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2]
, [0, 0], [1/8, 1/8], [2, 2], [-2, -2]]]], [[7, 3, 5, 5, 2], [And(0 < v,v < 1)
, And(-v < u,u < v), And(-u^2+v^2-1 < x,x < 1), u^2-v^2+x+1 < y, z = -(u^2-v^2
+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1/8, 1/8], [2, 2], [-1816187
/2097152, -3632373/4194304]]]], [[7, 3, 5, 5, 3], [And(0 < v,v < 1), And(-v <
u,u < v), And(-u^2+v^2-1 < x,x < 1), u^2-v^2+x+1 < y, 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], [1/8, 1/8], [2
, 2], [-1/8388608, -1/8388608]]]], [[7, 3, 5, 5, 4], [And(0 < v,v < 1), And(-v
< u,u < v), And(-u^2+v^2-1 < x,x < 1), u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)]
, [regular_chain, [[1/2, 1/2], [0, 0], [1/8, 1/8], [2, 2], [908093/1048576, 
454047/524288]]]], [[7, 3, 5, 5, 5], [And(0 < v,v < 1), And(-v < u,u < v), And
(-u^2+v^2-1 < x,x < 1), u^2-v^2+x+1 < y, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [0, 0], [1/8, 1/8], [2, 2], [2, 2]]]], [[9, 1, 7,
4, 1], [And(1 < v,v < 2^(1/2)), 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], [-3, -3], [2,
2], [11055025/1048576, 5527513/524288], [-4, -4]]]], [[9, 1, 7, 4, 2], [And(1
< v,v < 2^(1/2)), 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], [-3, -3], [2, 2], [
11055025/1048576, 5527513/524288], [-1532401/524288, -24518415/8388608]]]], [[
9, 1, 7, 4, 3], [And(1 < v,v < 2^(1/2)), 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], [-3, -3], [2, 2], [11055025/1048576, 5527513/524288
], [-7/16777216, -7/16777216]]]], [[9, 1, 7, 4, 4], [And(1 < v,v < 2^(1/2)), 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], [-3, -3], [2, 2], [11055025/1048576, 
5527513/524288], [3064801/1048576, 1532401/524288]]]], [[9, 1, 7, 4, 5], [And(
1 < v,v < 2^(1/2)), 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], [-3, -3], [2, 2], [
11055025/1048576, 5527513/524288], [4, 4]]]], [[9, 6, 5, 5, 1], [And(1 < v,v <
2^(1/2)), u = (v^2-1)^(1/2), And(0 < x,x < 1), x < y, z < 0], [regular_chain,
[[1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/
2], [2, 2], [-1, -1]]]], [[9, 6, 5, 5, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1
)^(1/2), And(0 < x,x < 1), x < y, z = 0], [regular_chain, [[1265743/1048576, 
1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2], [2, 2], [0, 0]]
]], [[9, 6, 5, 5, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(0 < x,x
< 1), x < y, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
354469/524288, 708939/1048576], [1/2, 1/2], [2, 2], [1, 1]]]], [[10, 2, 2, 2,
1], [v = 2^(1/2), u = -v, x = -1, y = 0, z < -1], [regular_chain, [[741455/
524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-1, -1], [0, 0]
, [-2, -2]]]], [[10, 2, 2, 2, 2], [v = 2^(1/2), u = -v, x = -1, y = 0, z = -1]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -\
741455/524288], [-1, -1], [0, 0], [-1, -1]]]], [[10, 2, 2, 2, 3], [v = 2^(1/2)
, u = -v, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[741455/524288,
1482911/1048576], [-1482911/1048576, -741455/524288], [-1, -1], [0, 0], [0, 0]
]]], [[10, 2, 2, 2, 4], [v = 2^(1/2), u = -v, x = -1, y = 0, z = 1], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [-1, -1], [0, 0], [1, 1]]]], [[10, 2, 2, 2, 5], [v = 2^(1/2), u = -v,
x = -1, y = 0, 1 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [-1, -1], [0, 0], [2, 2]]]], [[10, 7, 2, 3,
1], [v = 2^(1/2), And(0 < u,u < 1), x = -1, And(u^2-2 < y,y < -u^2+2), z = z],
[regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1, -1], [0, 0
], [0, 0]]]], [[11, 6, 2, 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, 2, 3, 1], [2^(1/2) < v, And((v^2-1)^(1/2
) < u,u < v), x = -1, And(u^2-v^2 < y,y < -u^2+v^2), z < -(u^2-v^2+1)^(1/2)],
[regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-1, -1], [0, 0],
[-2, -2]]]], [[11, 11, 2, 3, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x
= -1, And(u^2-v^2 < y,y < -u^2+v^2), z = -(u^2-v^2+1)^(1/2)], [regular_chain,
[[3, 3], [6111549/2097152, 6111549/2097152], [-1, -1], [0, 0], [-735979/
1048576, -1471957/2097152]]]], [[11, 11, 2, 3, 3], [2^(1/2) < v, And((v^2-1)^(
1/2) < u,u < v), x = -1, And(u^2-v^2 < y,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], [0, 0], [-1/4194304, -1/4194304]]]], [[11, 11, 2,
3, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, And(u^2-v^2 < y,y <
-u^2+v^2), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152,
6111549/2097152], [-1, -1], [0, 0], [367989/524288, 735979/1048576]]]], [[11,
11, 2, 3, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, And(u^2-v^2
< y,y < -u^2+v^2), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-1, -1], [0, 0], [2, 2]]]], [[1, 3, 3, 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], [133001/524288, 266003/
1048576], [-2, -2]]]], [[1, 3, 3, 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], [133001/524288, 266003/1048576], [-735979/1048576, -\
1471957/2097152]]]], [[1, 3, 3, 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], [133001/524288, 266003/
1048576], [-1/4194304, -1/4194304]]]], [[1, 3, 3, 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], [133001/524288, 266003/1048576], [
367989/524288, 735979/1048576]]]], [[1, 3, 3, 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], [133001/524288, 266003/1048576], [2, 2]]]],
[[1, 8, 1, 1, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x < -1, y < x-1, z = z], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-2, -2], [-4, -4], [
0, 0]]]], [[2, 5, 4, 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, 10, 1, 3, 1], [v = -2^(1/2), u = -v, x <
-1, And(x+1 < y,y < -1-x), z < -1], [regular_chain, [[-1482911/1048576, -\
741455/524288], [741455/524288, 1482911/1048576], [-2, -2], [0, 0], [-2, -2]]]
], [[2, 10, 1, 3, 2], [v = -2^(1/2), u = -v, x < -1, And(x+1 < y,y < -1-x), z
= -1], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 
1482911/1048576], [-2, -2], [0, 0], [-1, -1]]]], [[2, 10, 1, 3, 3], [v = -2^(1
/2), u = -v, x < -1, And(x+1 < y,y < -1-x), And(-1 < z,z < 1)], [regular_chain
, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-2,
-2], [0, 0], [0, 0]]]], [[2, 10, 1, 3, 4], [v = -2^(1/2), u = -v, x < -1, And(
x+1 < y,y < -1-x), z = 1], [regular_chain, [[-1482911/1048576, -741455/524288]
, [741455/524288, 1482911/1048576], [-2, -2], [0, 0], [1, 1]]]], [[2, 10, 1, 3
, 5], [v = -2^(1/2), u = -v, x < -1, And(x+1 < y,y < -1-x), 1 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-2, -2], [0, 0], [2, 2]]]], [[4, 4, 2, 1, 1], [v = -1, u = 0, x = -\
1, y < -1, z < 0], [regular_chain, [[-1, -1], [0, 0], [-1, -1], [-2, -2], [-1,
-1]]]], [[4, 4, 2, 1, 2], [v = -1, u = 0, x = -1, y < -1, z = 0], [
regular_chain, [[-1, -1], [0, 0], [-1, -1], [-2, -2], [0, 0]]]], [[4, 4, 2, 1,
3], [v = -1, u = 0, x = -1, y < -1, 0 < z], [regular_chain, [[-1, -1], [0, 0],
[-1, -1], [-2, -2], [1, 1]]]], [[5, 1, 6, 3, 1], [And(-1 < v,v < 0), u < v, x
= 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-2, -2], [1, 1], [0, 0], [-4, -4]]]], [[5, 1, 6
, 3, 2], [And(-1 < v,v < 0), u < v, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2),
z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [1, 1], [0,
0], [-2285319/1048576, -1142659/524288]]]], [[5, 1, 6, 3, 3], [And(-1 < v,v <
0), u < v, x = 1, And(-u^2+v^2-2 < y,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], [-2, -2], [1, 1], [0
, 0], [0, 0]]]], [[5, 1, 6, 3, 4], [And(-1 < v,v < 0), u < v, x = 1, And(-u^2+
v^2-2 < y,y < u^2-v^2+2), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2
], [-2, -2], [1, 1], [0, 0], [1142659/524288, 2285319/1048576]]]], [[5, 1, 6,
3, 5], [And(-1 < v,v < 0), u < v, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), (u
^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-2, -2], [1, 1], [0, 0],
[4, 4]]]], [[7, 4, 4, 5, 1], [And(0 < v,v < 1), u = v, x = 1, 2 < y, z < -1],
[regular_chain, [[1/2, 1/2], [1/2, 1/2], [1, 1], [3, 3], [-2, -2]]]], [[7, 4,
4, 5, 2], [And(0 < v,v < 1), u = v, x = 1, 2 < y, z = -1], [regular_chain, [[1
/2, 1/2], [1/2, 1/2], [1, 1], [3, 3], [-1, -1]]]], [[7, 4, 4, 5, 3], [And(0 <
v,v < 1), u = v, x = 1, 2 < y, And(-1 < z,z < 1)], [regular_chain, [[1/2, 1/2]
, [1/2, 1/2], [1, 1], [3, 3], [0, 0]]]], [[7, 4, 4, 5, 4], [And(0 < v,v < 1),
u = v, x = 1, 2 < y, z = 1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1, 1],
[3, 3], [1, 1]]]], [[7, 4, 4, 5, 5], [And(0 < v,v < 1), u = v, x = 1, 2 < y, 1
< z], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1, 1], [3, 3], [2, 2]]]], [[8,
4, 3, 5, 1], [v = 1, u = 0, And(-1 < x,x < 0), -x < y, z < 0], [regular_chain,
[[1, 1], [0, 0], [-1/2, -1/2], [2, 2], [-1, -1]]]], [[8, 4, 3, 5, 2], [v = 1,
u = 0, And(-1 < x,x < 0), -x < y, z = 0], [regular_chain, [[1, 1], [0, 0], [-1
/2, -1/2], [2, 2], [0, 0]]]], [[8, 4, 3, 5, 3], [v = 1, u = 0, And(-1 < x,x <
0), -x < y, 0 < z], [regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [2, 2], [1,
1]]]], [[10, 11, 6, 2, 1], [v = 2^(1/2), v < 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, 11, 6, 2, 2], [v = 2^(1/2), v < 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, 11, 6, 2,
3], [v = 2^(1/2), v < 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, 11, 6, 2, 4], [v = 2^(1/2), v < 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,
11, 6, 2, 5], [v = 2^(1/2), v < 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, 5, 3, 2, 1], [2^(1/2) < v, And(-(v^2-1)^(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], [-22960369/8388608, -22960369/8388608], [-515541/2097152, -515541/
2097152], [-3163225/4194304, -395403/524288], [0, 0]]]], [[1, 12, 5, 3, 1], [v
< -2^(1/2), u = -v, 1 < x, And(-1-x < y,y < x+1), z < -1], [regular_chain, [[-\
3, -3], [3, 3], [2, 2], [0, 0], [-2, -2]]]], [[1, 12, 5, 3, 2], [v < -2^(1/2),
u = -v, 1 < x, And(-1-x < y,y < x+1), z = -1], [regular_chain, [[-3, -3], [3,
3], [2, 2], [0, 0], [-1, -1]]]], [[1, 12, 5, 3, 3], [v < -2^(1/2), u = -v, 1 <
x, And(-1-x < y,y < x+1), And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [3, 3
], [2, 2], [0, 0], [0, 0]]]], [[1, 12, 5, 3, 4], [v < -2^(1/2), u = -v, 1 < x,
And(-1-x < y,y < x+1), z = 1], [regular_chain, [[-3, -3], [3, 3], [2, 2], [0,
0], [1, 1]]]], [[1, 12, 5, 3, 5], [v < -2^(1/2), u = -v, 1 < x, And(-1-x < y,y
< x+1), 1 < z], [regular_chain, [[-3, -3], [3, 3], [2, 2], [0, 0], [2, 2]]]],
[[2, 4, 4, 3, 1], [v = -2^(1/2), u = -1, x = 0, 0 < y, z < 0], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1, -1], [0, 0], [1, 1], [-1, -1]]]], [[
2, 4, 4, 3, 2], [v = -2^(1/2), u = -1, x = 0, 0 < y, z = 0], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1, -1], [0, 0], [1, 1], [0, 0]]]], [[2,
4, 4, 3, 3], [v = -2^(1/2), u = -1, x = 0, 0 < y, 0 < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [0, 0], [1, 1], [1, 1]]]], [[3, 3,
7, 5, 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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [4, 4], [-2, -\
2]]]], [[3, 3, 7, 5, 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 = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [2,
2], [4, 4], [-1374407/2097152, -687203/1048576]]]], [[3, 3, 7, 5, 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(
-(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], [4,
4], [0, 0]]]], [[3, 3, 7, 5, 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 = (u^2-v^2+1)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [2
, 2], [4, 4], [687203/1048576, 171801/262144]]]], [[3, 3, 7, 5, 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, (u^2-v
^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [2, 2], [4, 4], [2, 2]]]], [[3, 8, 3, 2, 1
], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 1), y = -1-x, z < -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [0, 0], [-1, -1], [-2, -2]]]], [[3, 8, 3, 2, 2], [And(-2^(1/
2) < v,v < -1), u = -v, And(-1 < x,x < 1), y = -1-x, z = -1], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [0,
0], [-1, -1], [-1, -1]]]], [[3, 8, 3, 2, 3], [And(-2^(1/2) < v,v < -1), u = -v
, And(-1 < x,x < 1), y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [-1, -\
1], [0, 0]]]], [[3, 8, 3, 2, 4], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x
,x < 1), y = -1-x, z = 1], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [1, 1]]]], [[3
, 8, 3, 2, 5], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 1), y = -1-x,
1 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/
1048576, 1265743/1048576], [0, 0], [-1, -1], [2, 2]]]], [[6, 1, 5, 5, 1], [v =
0, u < 0, And(-1 < x,x < 1), u^2+x+1 < y, z < -(u^2+1)^(1/2)], [regular_chain,
[[0, 0], [-1, -1], [0, 0], [3, 3], [-3, -3]]]], [[6, 1, 5, 5, 2], [v = 0, u <
0, And(-1 < x,x < 1), u^2+x+1 < y, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0
], [-1, -1], [0, 0], [3, 3], [-1482911/1048576, -741455/524288]]]], [[6, 1, 5,
5, 3], [v = 0, u < 0, And(-1 < x,x < 1), u^2+x+1 < y, And(-(u^2+1)^(1/2) < z,z
< (u^2+1)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [0, 0], [3, 3], [0, 0]]]
], [[6, 1, 5, 5, 4], [v = 0, u < 0, And(-1 < x,x < 1), u^2+x+1 < y, z = (u^2+1
)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [0, 0], [3, 3], [741455/524288, 
1482911/1048576]]]], [[6, 1, 5, 5, 5], [v = 0, u < 0, And(-1 < x,x < 1), u^2+x
+1 < y, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [0, 0], [3, 3],
[3, 3]]]], [[7, 3, 5, 2, 1], [And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^
2-1 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1
/2, 1/2], [0, 0], [1/8, 1/8], [-7/8, -7/8], [-2, -2]]]], [[7, 3, 5, 2, 2], [
And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x
-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1/8, 1/8],
[-7/8, -7/8], [-1816187/2097152, -3632373/4194304]]]], [[7, 3, 5, 2, 3], [And(
0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-1,
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2
], [0, 0], [1/8, 1/8], [-7/8, -7/8], [-1/8388608, -1/8388608]]]], [[7, 3, 5, 2
, 4], [And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 < x,x < 1), y = -u^
2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1/8,
1/8], [-7/8, -7/8], [908093/1048576, 454047/524288]]]], [[7, 3, 5, 2, 5], [And
(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-1,
(u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [1/8, 1/8], [-7/8
, -7/8], [2, 2]]]], [[9, 2, 1, 2, 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, 2, 1
, 2, 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, 2, 1, 2, 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, 2, 1, 2, 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, 2, 1,
2, 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, 6, 5, 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, 6, 5, 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, 6, 5, 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]]]], [[10, 2, 2, 3, 1], [v = 2^(1/2), u = -v, x = -1, 0 < y, z < -\
1], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -\
741455/524288], [-1, -1], [1, 1], [-2, -2]]]], [[10, 2, 2, 3, 2], [v = 2^(1/2)
, u = -v, x = -1, 0 < y, z = -1], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [-1, -1], [1, 1], [-1, -1]]]], [
[10, 2, 2, 3, 3], [v = 2^(1/2), u = -v, x = -1, 0 < y, And(-1 < z,z < 1)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [-1, -1], [1, 1], [0, 0]]]], [[10, 2, 2, 3, 4], [v = 2^(1/2), u = -v,
x = -1, 0 < y, z = 1], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [-1, -1], [1, 1], [1, 1]]]], [[10, 2, 2, 3,
5], [v = 2^(1/2), u = -v, x = -1, 0 < y, 1 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-1, -1], [1, 1]
, [2, 2]]]], [[10, 7, 1, 5, 1], [v = 2^(1/2), And(0 < u,u < 1), x < -1, -u^2-x
+1 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2],
[-2, -2], [4, 4], [0, 0]]]], [[11, 6, 2, 5, 1], [2^(1/2) < v, u = -(v^2-2)^(1/
2), x = -1, 2 < y, z = z], [regular_chain, [[3, 3], [-5548543/2097152, -\
2774271/1048576], [-1, -1], [3, 3], [0, 0]]]], [[11, 11, 2, 2, 1], [2^(1/2) <
v, And((v^2-1)^(1/2) < u,u < v), x = -1, y = u^2-v^2, z < -(u^2-v^2+1)^(1/2)],
[regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-1, -1], [-\
1064009/2097152, -133001/262144], [-2, -2]]]], [[11, 11, 2, 2, 2], [2^(1/2) <
v, And((v^2-1)^(1/2) < u,u < v), x = -1, y = u^2-v^2, z = -(u^2-v^2+1)^(1/2)],
[regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-1, -1], [-\
1064009/2097152, -133001/262144], [-735979/1048576, -1471957/2097152]]]], [[11
, 11, 2, 2, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, y = u^2-v^
2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3]
, [6111549/2097152, 6111549/2097152], [-1, -1], [-1064009/2097152, -133001/
262144], [-1/4194304, -1/4194304]]]], [[11, 11, 2, 2, 4], [2^(1/2) < v, And((v
^2-1)^(1/2) < u,u < v), x = -1, y = u^2-v^2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-1, -1], [-\
1064009/2097152, -133001/262144], [367989/524288, 735979/1048576]]]], [[11, 11
, 2, 2, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, y = u^2-v^2, (
u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-1, -1], [-1064009/2097152, -133001/262144], [2, 2]]]], [[1, 3, 3,
5, 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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288], [2, 2],
[-2, -2]]]], [[1, 3, 3, 5, 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 = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-391287/
524288, -391287/524288], [2, 2], [-735979/1048576, -1471957/2097152]]]], [[1,
3, 3, 5, 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(-(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], [2, 2], [-1/4194304, -1/4194304]]]], [[1, 3, 3, 5, 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 = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-391287/524288, -391287/524288], [2, 2], [367989/
524288, 735979/1048576]]]], [[1, 3, 3, 5, 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, (u^2-v^2+1)^(1/2)
< z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-\
391287/524288, -391287/524288], [2, 2], [2, 2]]]], [[1, 8, 1, 2, 1], [v < -2^(
1/2), u = (v^2-2)^(1/2), x < -1, y = x-1, z = z], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [-2, -2], [-3, -3], [0, 0]]]], [[2, 5, 3, 5, 1],
[v = -2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < -u^2+1), -u^2-x+1 < y, z = z]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/8, -1
/8], [2, 2], [0, 0]]]], [[2, 10, 1, 2, 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, 10, 1, 2, 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, 10, 1, 2, 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, 10, 1, 2, 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, 10, 1, 2, 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]]]], [[4, 4, 2, 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, 4, 2, 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, 4, 2, 2,
3], [v = -1, u = 0, x = -1, y = -1, 0 < z], [regular_chain, [[-1, -1], [0, 0],
[-1, -1], [-1, -1], [1, 1]]]], [[5, 1, 6, 4, 1], [And(-1 < v,v < 0), u < v, x
= 1, y = u^2-v^2+2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
2, -2], [1, 1], [23/4, 23/4], [-4, -4]]]], [[5, 1, 6, 4, 2], [And(-1 < v,v < 0
), u < v, x = 1, y = u^2-v^2+2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/
2, -1/2], [-2, -2], [1, 1], [23/4, 23/4], [-2285319/1048576, -1142659/524288]]
]], [[5, 1, 6, 4, 3], [And(-1 < v,v < 0), 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], [-\
2, -2], [1, 1], [23/4, 23/4], [0, 0]]]], [[5, 1, 6, 4, 4], [And(-1 < v,v < 0),
u < v, x = 1, y = u^2-v^2+2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -\
1/2], [-2, -2], [1, 1], [23/4, 23/4], [1142659/524288, 2285319/1048576]]]], [[
5, 1, 6, 4, 5], [And(-1 < v,v < 0), u < v, x = 1, y = u^2-v^2+2, (u^2-v^2+1)^(
1/2) < z], [regular_chain, [[-1/2, -1/2], [-2, -2], [1, 1], [23/4, 23/4], [4,
4]]]], [[7, 4, 4, 4, 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, 4, 4
, 4, 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, 4, 4, 4, 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, 4, 4, 4, 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, 4, 4, 4, 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]]]], [[8, 4
, 3, 4, 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, 4, 3, 4, 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, 4, 3, 4, 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]]]], [[10, 11, 6, 3, 1], [v = 2^(1/2), v < u, x = 1, And(-u^2 < y,
y < u^2), z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [1, 1], [0, 0], [-4, -4]]]], [[10, 11, 6, 3, 2], [v = 2^(1/2
), v < u, x = 1, And(-u^2 < y,y < u^2), z = -(u^2-1)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [3, 3], [1, 1], [0, 0], [-2965821/1048576, -\
11863283/4194304]]]], [[10, 11, 6, 3, 3], [v = 2^(1/2), v < u, x = 1, And(-u^2
< y,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], [0, 0], [-3/8388608, -3/
8388608]]]], [[10, 11, 6, 3, 4], [v = 2^(1/2), v < u, x = 1, And(-u^2 < y,y <
u^2), z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3, 3], [1, 1], [0, 0], [741455/262144, 2965821/1048576]]]], [[10, 11, 6, 3, 5]
, [v = 2^(1/2), v < u, x = 1, And(-u^2 < y,y < u^2), (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1, 1], [0, 0], [4,
4]]]], [[11, 5, 3, 3, 1], [2^(1/2) < v, And(-(v^2-1)^(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 < -u^2+v^2-x-1), z = z
], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-515541/
2097152, -515541/2097152], [0, 0], [0, 0]]]], [[1, 12, 5, 4, 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, 12, 5, 4, 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,
12, 5, 4, 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, 12, 5, 4, 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, 12, 5, 4, 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]]
]], [[2, 4, 5, 1, 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], [-2
, -2], [-1, -1]]]], [[2, 4, 5, 1, 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], [-2, -2], [0, 0]]]], [[2, 4, 5, 1, 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], [-2, -2], [1, 1]]]], [[3, 3, 7, 4, 1], [And(-2^
(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-v^2+x+1, z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [2, 2], [1273761/524288, 2547523/1048576],
[-2, -2]]]], [[3, 3, 7, 4, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-\
1)^(1/2)), 1 < x, y = u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [2,
2], [1273761/524288, 2547523/1048576], [-1374407/2097152, -687203/1048576]]]],
[[3, 3, 7, 4, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1
< x, y = u^2-v^2+x+1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [1273761/524288, 2547523/1048576], [0, 0]]]], [[3, 3
, 7, 4, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y
= u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [1273761/
524288, 2547523/1048576], [687203/1048576, 171801/262144]]]], [[3, 3, 7, 4, 5]
, [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-v^2
+x+1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [1273761/524288, 
2547523/1048576], [2, 2]]]], [[3, 8, 3, 1, 1], [And(-2^(1/2) < v,v < -1), u =
-v, And(-1 < x,x < 1), y < -1-x, z < -1], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [-2, -2], [-2,
-2]]]], [[3, 8, 3, 1, 2], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 1)
, y < -1-x, z = -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [0, 0], [-2, -2], [-1, -1]]]], [[3, 8, 3, 1
, 3], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 1), y < -1-x, And(-1 <
z,z < 1)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/
1048576, 1265743/1048576], [0, 0], [-2, -2], [0, 0]]]], [[3, 8, 3, 1, 4], [And
(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 1), y < -1-x, z = 1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [0, 0], [-2, -2], [1, 1]]]], [[3, 8, 3, 1, 5], [And(-2^(1/2)
< v,v < -1), u = -v, And(-1 < x,x < 1), y < -1-x, 1 < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0]
, [-2, -2], [2, 2]]]], [[6, 1, 6, 1, 1], [v = 0, u < 0, x = 1, y < -u^2-2, z <
-(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [1, 1], [-4, -4], [-3, -3]
]]], [[6, 1, 6, 1, 2], [v = 0, u < 0, x = 1, y < -u^2-2, z = -(u^2+1)^(1/2)],
[regular_chain, [[0, 0], [-1, -1], [1, 1], [-4, -4], [-1482911/1048576, -\
741455/524288]]]], [[6, 1, 6, 1, 3], [v = 0, 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, -1], [1, 1]
, [-4, -4], [0, 0]]]], [[6, 1, 6, 1, 4], [v = 0, u < 0, x = 1, y < -u^2-2, z =
(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [1, 1], [-4, -4], [741455/
524288, 1482911/1048576]]]], [[6, 1, 6, 1, 5], [v = 0, u < 0, x = 1, y < -u^2-\
2, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [1, 1], [-4, -4], [3
, 3]]]], [[7, 3, 5, 3, 1], [And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-\
1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)],
[regular_chain, [[1/2, 1/2], [0, 0], [1/8, 1/8], [0, 0], [-2, -2]]]], [[7, 3,
5, 3, 2], [And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 < x,x < 1), And
(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [
[1/2, 1/2], [0, 0], [1/8, 1/8], [0, 0], [-1816187/2097152, -3632373/4194304]]]
], [[7, 3, 5, 3, 3], [And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 < x,
x < 1), And(-u^2+v^2-x-1 < y,y < u^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], [1/8, 1/8], [0, 0],
[-1/8388608, -1/8388608]]]], [[7, 3, 5, 3, 4], [And(0 < v,v < 1), And(-v < u,u
< v), And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u
^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1/8, 1/8], [0, 0], [
908093/1048576, 454047/524288]]]], [[7, 3, 5, 3, 5], [And(0 < v,v < 1), And(-v
< u,u < v), And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1),
(u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [1/8, 1/8], [0, 0
], [2, 2]]]], [[9, 2, 1, 1, 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], [-2, -2], [-2, -2]]]], [[9, 2, 1, 1, 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], [-2, -2], [-1, -1]]]], [[9, 2, 1, 1, 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], [-2, -2], [0
, 0]]]], [[9, 2, 1, 1, 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], [-2, -2], [1, 1]]]], [[9, 2, 1, 1, 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], [-2
, -2], [2, 2]]]], [[9, 6, 5, 3, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2)
, And(0 < x,x < 1), And(-x < y,y < x), z < 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2], [0, 0]
, [-1, -1]]]], [[9, 6, 5, 3, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 
And(0 < x,x < 1), And(-x < y,y < x), z = 0], [regular_chain, [[1265743/1048576
, 1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2], [0, 0], [0, 0
]]]], [[9, 6, 5, 3, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(0 < x,
x < 1), And(-x < y,y < x), 0 < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [1/2, 1/2], [0, 0], [1, 1]]]], [[10
, 2, 3, 1, 1], [v = 2^(1/2), u = -v, And(-1 < x,x < 1), y < -1-x, z < -1], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [0, 0], [-2, -2], [-2, -2]]]], [[10, 2, 3, 1, 2], [v = 2^(1/2), u = -
v, And(-1 < x,x < 1), y < -1-x, z = -1], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [0, 0], [-2, -2], [-1, -\
1]]]], [[10, 2, 3, 1, 3], [v = 2^(1/2), u = -v, And(-1 < x,x < 1), y < -1-x, 
And(-1 < z,z < 1)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [0, 0], [-2, -2], [0, 0]]]], [[10, 2, 3, 1,
4], [v = 2^(1/2), u = -v, And(-1 < x,x < 1), y < -1-x, z = 1], [regular_chain,
[[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [0, 0],
[-2, -2], [1, 1]]]], [[10, 2, 3, 1, 5], [v = 2^(1/2), u = -v, And(-1 < x,x < 1
), y < -1-x, 1 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [0, 0], [-2, -2], [2, 2]]]], [[10, 7, 2, 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]]]],
[[11, 6, 2, 4, 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, 2, 1, 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], [-2, -2], [-2, -2]]]], [[11, 11, 2, 1, 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], [-2, -2], [-735979/1048576, -1471957/2097152]]]], [[11, 11, 2, 1, 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], [-2, -2], [-1/4194304, -1/4194304]]]], [[
11, 11, 2, 1, 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], [-2, -2], [367989/524288, 735979/1048576]]]], [[11
, 11, 2, 1, 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], [-2, -2], [2, 2]]]], [[1, 13, 6, 4, 1], [v < -2^(1/2), -v
< u, x = 1, y = u^2-v^2+2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3],
[4, 4], [1, 1], [9, 9], [-4, -4]]]], [[1, 13, 6, 4, 2], [v < -2^(1/2), -v < u,
x = 1, y = u^2-v^2+2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4,
4], [1, 1], [9, 9], [-2965821/1048576, -11863283/4194304]]]], [[1, 13, 6, 4, 3
], [v < -2^(1/2), -v < 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], [4, 4], [1, 1], [9, 9], [-3/
8388608, -3/8388608]]]], [[1, 13, 6, 4, 4], [v < -2^(1/2), -v < u, x = 1, y =
u^2-v^2+2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [1, 1],
[9, 9], [741455/262144, 2965821/1048576]]]], [[1, 13, 6, 4, 5], [v < -2^(1/2),
-v < u, x = 1, y = u^2-v^2+2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3
], [4, 4], [1, 1], [9, 9], [4, 4]]]], [[2, 4, 3, 5, 1], [v = -2^(1/2), u = -1,
And(-1 < x,x < 0), -x < y, z < 0], [regular_chain, [[-1482911/1048576, -741455
/524288], [-1, -1], [-1/2, -1/2], [2, 2], [-1, -1]]]], [[2, 4, 3, 5, 2], [v =
-2^(1/2), u = -1, And(-1 < x,x < 0), -x < y, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [2, 2], [0, 0]]]], [
[2, 4, 3, 5, 3], [v = -2^(1/2), u = -1, And(-1 < x,x < 0), -x < y, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [2
, 2], [1, 1]]]], [[3, 4, 3, 1, 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], [-2, -2],
[-1, -1]]]], [[3, 4, 3, 1, 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], [-2, -2], [0, 0]]
]], [[3, 4, 3, 1, 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], [-2, -2], [1, 1]]]], [[3,
7, 5, 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], [
598205/2097152, 598205/2097152], [749473/1048576, 374737/524288], [-2, -2]]]],
[[3, 7, 5, 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], [598205/2097152, 598205/2097152], [749473/1048576, 374737/524288], [
-1374407/2097152, -687203/1048576]]]], [[3, 7, 5, 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], [598205/
2097152, 598205/2097152], [749473/1048576, 374737/524288], [0, 0]]]], [[3, 7,
5, 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], [598205/
2097152, 598205/2097152], [749473/1048576, 374737/524288], [687203/1048576, 
171801/262144]]]], [[3, 7, 5, 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], [598205/2097152, 598205/2097152], [749473/1048576, 374737/
524288], [2, 2]]]], [[6, 2, 5, 1, 1], [v = 0, u = 0, 1 < x, y < -1-x, z < -1],
[regular_chain, [[0, 0], [0, 0], [2, 2], [-4, -4], [-2, -2]]]], [[6, 2, 5, 1,
2], [v = 0, u = 0, 1 < x, y < -1-x, z = -1], [regular_chain, [[0, 0], [0, 0],
[2, 2], [-4, -4], [-1, -1]]]], [[6, 2, 5, 1, 3], [v = 0, u = 0, 1 < x, y < -1-
x, And(-1 < z,z < 1)], [regular_chain, [[0, 0], [0, 0], [2, 2], [-4, -4], [0,
0]]]], [[6, 2, 5, 1, 4], [v = 0, u = 0, 1 < x, y < -1-x, z = 1], [
regular_chain, [[0, 0], [0, 0], [2, 2], [-4, -4], [1, 1]]]], [[6, 2, 5, 1, 5],
[v = 0, u = 0, 1 < x, y < -1-x, 1 < z], [regular_chain, [[0, 0], [0, 0], [2, 2
], [-4, -4], [2, 2]]]], [[7, 3, 4, 2, 1], [And(0 < v,v < 1), And(-v < u,u < v)
, x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2],
[0, 0], [-3/4, -3/4], [0, 0], [-2, -2]]]], [[7, 3, 4, 2, 2], [And(0 < v,v < 1)
, And(-v < u,u < v), x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-3/4, -3/4], [0, 0], [-1816187/2097152, -\
3632373/4194304]]]], [[7, 3, 4, 2, 3], [And(0 < v,v < 1), And(-v < u,u < v), x
= -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [0, 0], [-3/4, -3/4], [0, 0], [-1/8388608, -1/
8388608]]]], [[7, 3, 4, 2, 4], [And(0 < v,v < 1), And(-v < u,u < v), x = -u^2+
v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3
/4, -3/4], [0, 0], [908093/1048576, 454047/524288]]]], [[7, 3, 4, 2, 5], [And(
0 < v,v < 1), And(-v < u,u < v), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z]
, [regular_chain, [[1/2, 1/2], [0, 0], [-3/4, -3/4], [0, 0], [2, 2]]]], [[9, 2
, 3, 5, 1], [And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 1), x+1 < y, z < -\
1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [2, 2], [-2, -2]]]], [[9, 2, 3, 5, 2], [And(1 < v,v
< 2^(1/2)), u = -v, And(-1 < x,x < 1), x+1 < y, z = -1], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [0, 0
], [2, 2], [-1, -1]]]], [[9, 2, 3, 5, 3], [And(1 < v,v < 2^(1/2)), u = -v, And
(-1 < x,x < 1), x+1 < y, And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [2, 2], [0,
0]]]], [[9, 2, 3, 5, 4], [And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 1), x
+1 < y, z = 1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743
/1048576, -1265743/1048576], [0, 0], [2, 2], [1, 1]]]], [[9, 2, 3, 5, 5], [And
(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 1), x+1 < y, 1 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [2, 2], [2, 2]]]], [[9, 6, 1, 1, 1], [And(1 < v,v <
2^(1/2)), u = (v^2-1)^(1/2), x < -1, y < x, z < 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-2, -2], [-3, -3]
, [-1, -1]]]], [[9, 6, 1, 1, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x
< -1, y < x, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [
354469/524288, 708939/1048576], [-2, -2], [-3, -3], [0, 0]]]], [[9, 6, 1, 1, 3
], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -1, y < x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-2, -2], [-3, -3], [1, 1]]]], [[10, 3, 2, 1, 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
], [-2, -2], [-2, -2]]]], [[10, 3, 2, 1, 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], [-2, -2], [-\
1417877/2097152, -354469/524288]]]], [[10, 3, 2, 1, 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], [-2, -2], [0, 0]]]], [[10, 3, 2, 1, 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
], [-2, -2], [354469/524288, 708939/1048576]]]], [[10, 3, 2, 1, 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], [-2, -2], [2, 2]]]], [[10, 6, 4, 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]]]], [[11, 6, 3, 3, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-1
< x,x < 1), And(x-1 < y,y < -x+1), z = z], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [0, 0], [0, 0], [0, 0]]]], [[11, 10, 3, 1, 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], [-2, -2], [-1, -1]]
]], [[11, 10, 3, 1, 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], [-2, -2], [0, 0]]]], [[11, 10, 3, 1, 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], [-2, -2], [1, 1]]]], [[1, 4, 1, 2, 1], [v < -2
^(1/2), u = -(v^2-1)^(1/2), x < -1, y = x, z < 0], [regular_chain, [[-3, -3],
[-2965821/1048576, -11863283/4194304], [-2, -2], [-2, -2], [-1, -1]]]], [[1, 4
, 1, 2, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -1, y = x, z = 0], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-2, -2], [-2
, -2], [0, 0]]]], [[1, 4, 1, 2, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -1,
y = x, 0 < z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304
], [-2, -2], [-2, -2], [1, 1]]]], [[1, 7, 5, 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 < -u^2+v^2-x-1), z = z], [regular_chain, [[-3, -3], [0, 0], [9/2, 9/2], [0,
0], [0, 0]]]], [[2, 5, 5, 1, 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], [-2, -2], [0, 0]]]], [[2, 9, 2, 2, 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, 9,
2, 2, 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, 9, 2, 2, 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, 9, 2,
2, 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, 9, 2, 2, 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]]]], [[4, 4, 6, 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, 4, 6, 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, 4, 6, 4, 3], [v = -1, u = 0, x =
1, y = 1, 0 < z], [regular_chain, [[-1, -1], [0, 0], [1, 1], [1, 1], [1, 1]]]]
, [[5, 1, 4, 2, 1], [And(-1 < v,v < 0), u < v, x = -1, y = -u^2+v^2, z < -(u^2
-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [-1, -1], [-15/4, -15
/4], [-4, -4]]]], [[5, 1, 4, 2, 2], [And(-1 < v,v < 0), u < v, x = -1, y = -u^
2+v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [-1,
-1], [-15/4, -15/4], [-2285319/1048576, -1142659/524288]]]], [[5, 1, 4, 2, 3],
[And(-1 < v,v < 0), 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], [-2, -2], [-1, -1], [-15
/4, -15/4], [0, 0]]]], [[5, 1, 4, 2, 4], [And(-1 < v,v < 0), u < v, x = -1, y
= -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [
-1, -1], [-15/4, -15/4], [1142659/524288, 2285319/1048576]]]], [[5, 1, 4, 2, 5
], [And(-1 < v,v < 0), u < v, x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-2, -2], [-1, -1], [-15/4, -15/4], [4, 4]]]], [
[7, 4, 5, 3, 1], [And(0 < v,v < 1), u = v, 1 < x, And(-1-x < y,y < x+1), z < -\
1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [0, 0], [-2, -2]]]], [[7,
4, 5, 3, 2], [And(0 < v,v < 1), u = v, 1 < x, And(-1-x < y,y < x+1), z = -1],
[regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [0, 0], [-1, -1]]]], [[7, 4,
5, 3, 3], [And(0 < v,v < 1), u = v, 1 < x, And(-1-x < y,y < x+1), And(-1 < z,z
< 1)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [0, 0], [0, 0]]]], [[7
, 4, 5, 3, 4], [And(0 < v,v < 1), u = v, 1 < x, And(-1-x < y,y < x+1), z = 1],
[regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [0, 0], [1, 1]]]], [[7, 4, 5,
3, 5], [And(0 < v,v < 1), u = v, 1 < x, And(-1-x < y,y < x+1), 1 < z], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [0, 0], [2, 2]]]], [[8, 3, 5,
1, 1], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 1), y < -u^2-x, z < u], [
regular_chain, [[1, 1], [-1/2, -1/2], [3/8, 3/8], [-2, -2], [-2, -2]]]], [[8,
3, 5, 1, 2], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 1), y < -u^2-x, z = u
], [regular_chain, [[1, 1], [-1/2, -1/2], [3/8, 3/8], [-2, -2], [-1/2, -1/2]]]
], [[8, 3, 5, 1, 3], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 1), y < -u^2-
x, And(u < z,z < -u)], [regular_chain, [[1, 1], [-1/2, -1/2], [3/8, 3/8], [-2,
-2], [0, 0]]]], [[8, 3, 5, 1, 4], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x <
1), y < -u^2-x, z = -u], [regular_chain, [[1, 1], [-1/2, -1/2], [3/8, 3/8], [-\
2, -2], [1/2, 1/2]]]], [[8, 3, 5, 1, 5], [v = 1, And(-1 < u,u < 0), And(-u^2 <
x,x < 1), y < -u^2-x, -u < z], [regular_chain, [[1, 1], [-1/2, -1/2], [3/8, 3/
8], [-2, -2], [2, 2]]]], [[11, 1, 5, 3, 1], [2^(1/2) < v, u < -v, And(-1 < x,x
< 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-4, -4], [0, 0], [0, 0], [-4, -4]]]], [[11, 1, 5, 3,
2], [2^(1/2) < v, u < -v, And(-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+
x+1), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [0, 0], [0,
0], [-2965821/1048576, -11863283/4194304]]]], [[11, 1, 5, 3, 3], [2^(1/2) < v,
u < -v, And(-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), And(-(u^2-v^
2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [-4, -4], [0,
0], [0, 0], [-3/8388608, -3/8388608]]]], [[11, 1, 5, 3, 4], [2^(1/2) < v, u <
-v, And(-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2-v^2+1)^
(1/2)], [regular_chain, [[3, 3], [-4, -4], [0, 0], [0, 0], [741455/262144, 
2965821/1048576]]]], [[11, 1, 5, 3, 5], [2^(1/2) < v, u < -v, And(-1 < x,x < 1
), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-4, -4], [0, 0], [0, 0], [4, 4]]]], [[11, 5, 2, 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, z = z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [
-1, -1], [1581611/1048576, 395403/262144], [0, 0]]]], [[1, 13, 6, 3, 1], [v <
-2^(1/2), -v < u, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z < -(u^2-v^2+1)^(
1/2)], [regular_chain, [[-3, -3], [4, 4], [1, 1], [0, 0], [-4, -4]]]], [[1, 13
, 6, 3, 2], [v < -2^(1/2), -v < u, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [1, 1], [0, 0], [-\
2965821/1048576, -11863283/4194304]]]], [[1, 13, 6, 3, 3], [v < -2^(1/2), -v <
u, x = 1, And(-u^2+v^2-2 < y,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], [4, 4], [1, 1], [0, 0], [-3/
8388608, -3/8388608]]]], [[1, 13, 6, 3, 4], [v < -2^(1/2), -v < u, x = 1, And(
-u^2+v^2-2 < y,y < u^2-v^2+2), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -\
3], [4, 4], [1, 1], [0, 0], [741455/262144, 2965821/1048576]]]], [[1, 13, 6, 3
, 5], [v < -2^(1/2), -v < u, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), (u^2-v^
2+1)^(1/2) < z], [regular_chain, [[-3, -3], [4, 4], [1, 1], [0, 0], [4, 4]]]],
[[2, 4, 3, 4, 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, 4, 3, 4, 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, 4, 3, 4, 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]]]], [[3, 4, 3, 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, 4, 3, 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, 4, 3, 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, 7, 5, 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)
, u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [987341/1048576, 987341/1048576], [598205/2097152, 598205
/2097152], [2, 2], [-2, -2]]]], [[3, 7, 5, 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), u^2-v^2+x+1 < y, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [598205/2097152, 598205/2097152], [2, 2], [-\
1374407/2097152, -687203/1048576]]]], [[3, 7, 5, 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), u^2-v^2+x+1 < y
, 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], [598205/
2097152, 598205/2097152], [2, 2], [0, 0]]]], [[3, 7, 5, 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), u^2-v^2+x
+1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [598205/2097152, 598205/2097152],
[2, 2], [687203/1048576, 171801/262144]]]], [[3, 7, 5, 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), u^2-v^2+x
+1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [598205/2097152, 598205/2097152],
[2, 2], [2, 2]]]], [[6, 2, 4, 5, 1], [v = 0, u = 0, x = 1, 2 < y, z < -1], [
regular_chain, [[0, 0], [0, 0], [1, 1], [3, 3], [-2, -2]]]], [[6, 2, 4, 5, 2],
[v = 0, u = 0, x = 1, 2 < y, z = -1], [regular_chain, [[0, 0], [0, 0], [1, 1],
[3, 3], [-1, -1]]]], [[6, 2, 4, 5, 3], [v = 0, u = 0, x = 1, 2 < y, And(-1 < z
,z < 1)], [regular_chain, [[0, 0], [0, 0], [1, 1], [3, 3], [0, 0]]]], [[6, 2,
4, 5, 4], [v = 0, u = 0, x = 1, 2 < y, z = 1], [regular_chain, [[0, 0], [0, 0]
, [1, 1], [3, 3], [1, 1]]]], [[6, 2, 4, 5, 5], [v = 0, u = 0, x = 1, 2 < y, 1
< z], [regular_chain, [[0, 0], [0, 0], [1, 1], [3, 3], [2, 2]]]], [[7, 3, 4, 1
, 1], [And(0 < v,v < 1), And(-v < u,u < v), x = -u^2+v^2-1, y < 0, z < -(u^2-v
^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3/4, -3/4], [-1, -1], [-2
, -2]]]], [[7, 3, 4, 1, 2], [And(0 < v,v < 1), And(-v < u,u < v), x = -u^2+v^2
-1, y < 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3/4
, -3/4], [-1, -1], [-1816187/2097152, -3632373/4194304]]]], [[7, 3, 4, 1, 3],
[And(0 < v,v < 1), And(-v < u,u < v), x = -u^2+v^2-1, y < 0, And(-(u^2-v^2+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, -1], [-1/8388608, -1/8388608]]]], [[7, 3, 4, 1, 4], [And(0 < v,v <
1), And(-v < u,u < v), x = -u^2+v^2-1, y < 0, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-3/4, -3/4], [-1, -1], [908093/1048576, 
454047/524288]]]], [[7, 3, 4, 1, 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], [-1, -1], [2, 2]]]], [[9, 2, 4, 1, 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], [-3, -3], [-2, -2]]]],
[[9, 2, 4, 1, 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], [-3, -3], [-1, -1]]]], [[9, 2, 4, 1, 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
], [-3, -3], [0, 0]]]], [[9, 2, 4, 1, 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], [-3, -3], [1, 1]]]], [[9, 2, 4, 1,
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
], [-3, -3], [2, 2]]]], [[9, 6, 1, 2, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)
^(1/2), x < -1, y = x, z < 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [-2, -2], [-2, -2], [-1, -1]]]], [[
9, 6, 1, 2, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -1, y = x, z =
0], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 
708939/1048576], [-2, -2], [-2, -2], [0, 0]]]], [[9, 6, 1, 2, 3], [And(1 < v,v
< 2^(1/2)), u = (v^2-1)^(1/2), x < -1, y = x, 0 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-2, -2],
[-2, -2], [1, 1]]]], [[10, 3, 1, 5, 1], [v = 2^(1/2), And(-v < u,u < -1), x <
-1, -u^2-x+1 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [3, 3], [-2,
-2]]]], [[10, 3, 1, 5, 2], [v = 2^(1/2), And(-v < u,u < -1), x < -1, -u^2-x+1
< y, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
-1265743/1048576, -1265743/1048576], [-2, -2], [3, 3], [-1417877/2097152, -\
354469/524288]]]], [[10, 3, 1, 5, 3], [v = 2^(1/2), And(-v < u,u < -1), x < -1
, -u^2-x+1 < y, 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
], [3, 3], [0, 0]]]], [[10, 3, 1, 5, 4], [v = 2^(1/2), And(-v < u,u < -1), x <
-1, -u^2-x+1 < y, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [3, 3], [354469/
524288, 708939/1048576]]]], [[10, 3, 1, 5, 5], [v = 2^(1/2), And(-v < u,u < -1
), x < -1, -u^2-x+1 < y, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288,
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [3, 3], [2,
2]]]], [[10, 6, 4, 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]]]], [[11, 6, 3, 4, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x < 1
), y = -x+1, z = z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [0, 0], [1, 1], [0, 0]]]], [[11, 10, 3, 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, 10,
3, 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, 10, 3, 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]]]], [[1, 4, 1, 1, 1], [v < -2^(1/
2), u = -(v^2-1)^(1/2), x < -1, y < x, z < 0], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [-2, -2], [-3, -3], [-1, -1]]]], [[1, 4,
1, 1, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -1, y < x, z = 0], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-2, -2], [-3
, -3], [0, 0]]]], [[1, 4, 1, 1, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -1,
y < x, 0 < z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304
], [-2, -2], [-3, -3], [1, 1]]]], [[1, 7, 5, 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]]]],
[[2, 5, 5, 2, 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, 9, 2, 3, 1], [v = -2^(1/2), 
And(1 < u,u < -v), x = -1, And(u^2-2 < y,y < -u^2+2), z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-1, -1], [0, 0], [-2, -2]]]], [[2, 9, 2, 3, 2], [v = -2^(1/2), And(
1 < u,u < -v), x = -1, And(u^2-2 < y,y < -u^2+2), z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-1, -1], [0, 0], [-1417877/2097152, -354469/524288]]]], [[2, 9, 2,
3, 3], [v = -2^(1/2), And(1 < u,u < -v), x = -1, And(u^2-2 < y,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], [0, 0], [0, 0
]]]], [[2, 9, 2, 3, 4], [v = -2^(1/2), And(1 < u,u < -v), x = -1, And(u^2-2 <
y,y < -u^2+2), z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [1265743/1048576, 1265743/1048576], [-1, -1], [0, 0], [354469/524288
, 708939/1048576]]]], [[2, 9, 2, 3, 5], [v = -2^(1/2), And(1 < u,u < -v), x =
-1, And(u^2-2 < y,y < -u^2+2), (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-1, -1], [0, 0]
, [2, 2]]]], [[4, 4, 6, 3, 1], [v = -1, u = 0, x = 1, And(-1 < y,y < 1), z < 0
], [regular_chain, [[-1, -1], [0, 0], [1, 1], [0, 0], [-1, -1]]]], [[4, 4, 6,
3, 2], [v = -1, u = 0, x = 1, And(-1 < y,y < 1), z = 0], [regular_chain, [[-1,
-1], [0, 0], [1, 1], [0, 0], [0, 0]]]], [[4, 4, 6, 3, 3], [v = -1, u = 0, x =
1, And(-1 < y,y < 1), 0 < z], [regular_chain, [[-1, -1], [0, 0], [1, 1], [0, 0
], [1, 1]]]], [[5, 1, 4, 1, 1], [And(-1 < v,v < 0), u < v, x = -1, y < -u^2+v^
2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [-1, -1],
[-5, -5], [-4, -4]]]], [[5, 1, 4, 1, 2], [And(-1 < v,v < 0), u < v, x = -1, y
< -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2],
[-1, -1], [-5, -5], [-2285319/1048576, -1142659/524288]]]], [[5, 1, 4, 1, 3],
[And(-1 < v,v < 0), 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], [-2, -2], [-1, -1], [-5,
-5], [0, 0]]]], [[5, 1, 4, 1, 4], [And(-1 < v,v < 0), u < v, x = -1, y < -u^2+
v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [-1, -1]
, [-5, -5], [1142659/524288, 2285319/1048576]]]], [[5, 1, 4, 1, 5], [And(-1 <
v,v < 0), u < v, x = -1, y < -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain,
[[-1/2, -1/2], [-2, -2], [-1, -1], [-5, -5], [4, 4]]]], [[7, 4, 5, 4, 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, 4, 5, 4, 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, 4, 5, 4, 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, 4, 5, 4, 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, 4,
5, 4, 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]]]], [[8, 3, 5, 2, 1], [v = 1, 
And(-1 < u,u < 0), And(-u^2 < x,x < 1), y = -u^2-x, z < u], [regular_chain, [[
1, 1], [-1/2, -1/2], [3/8, 3/8], [-5/8, -5/8], [-2, -2]]]], [[8, 3, 5, 2, 2],
[v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 1), y = -u^2-x, z = u], [
regular_chain, [[1, 1], [-1/2, -1/2], [3/8, 3/8], [-5/8, -5/8], [-1/2, -1/2]]]
], [[8, 3, 5, 2, 3], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 1), y = -u^2-
x, And(u < z,z < -u)], [regular_chain, [[1, 1], [-1/2, -1/2], [3/8, 3/8], [-5/
8, -5/8], [0, 0]]]], [[8, 3, 5, 2, 4], [v = 1, And(-1 < u,u < 0), And(-u^2 < x
,x < 1), y = -u^2-x, z = -u], [regular_chain, [[1, 1], [-1/2, -1/2], [3/8, 3/8
], [-5/8, -5/8], [1/2, 1/2]]]], [[8, 3, 5, 2, 5], [v = 1, And(-1 < u,u < 0), 
And(-u^2 < x,x < 1), y = -u^2-x, -u < z], [regular_chain, [[1, 1], [-1/2, -1/2
], [3/8, 3/8], [-5/8, -5/8], [2, 2]]]], [[11, 1, 5, 2, 1], [2^(1/2) < v, u < -
v, And(-1 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-4, -4], [0, 0], [-8, -8], [-4, -4]]]], [[11, 1, 5, 2
, 2], [2^(1/2) < v, u < -v, And(-1 < x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^2
+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [0, 0], [-8, -8], [-2965821/
1048576, -11863283/4194304]]]], [[11, 1, 5, 2, 3], [2^(1/2) < v, u < -v, And(-\
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], [-4, -4], [0, 0], [-8, -8], [-3/8388608, -3/
8388608]]]], [[11, 1, 5, 2, 4], [2^(1/2) < v, u < -v, And(-1 < x,x < 1), y = -
u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [0, 0]
, [-8, -8], [741455/262144, 2965821/1048576]]]], [[11, 1, 5, 2, 5], [2^(1/2) <
v, u < -v, And(-1 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-4, -4], [0, 0], [-8, -8], [4, 4]]]], [[11, 5, 2, 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 < -u^2+v^2), z = z], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [-1, -1], [-1/4194304, -1/4194304], [0, 0]]]], [[1, 13, 6,
2, 1], [v < -2^(1/2), -v < u, x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)],
[regular_chain, [[-3, -3], [4, 4], [1, 1], [-9, -9], [-4, -4]]]], [[1, 13, 6,
2, 2], [v < -2^(1/2), -v < u, x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)],
[regular_chain, [[-3, -3], [4, 4], [1, 1], [-9, -9], [-2965821/1048576, -\
11863283/4194304]]]], [[1, 13, 6, 2, 3], [v < -2^(1/2), -v < 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], [4, 4], [1, 1], [-9, -9], [-3/8388608, -3/8388608]]]], [[1, 13, 6, 2
, 4], [v < -2^(1/2), -v < u, x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [4, 4], [1, 1], [-9, -9], [741455/262144, 2965821/
1048576]]]], [[1, 13, 6, 2, 5], [v < -2^(1/2), -v < u, x = 1, y = -u^2+v^2-2,
(u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [4, 4], [1, 1], [-9, -9], [
4, 4]]]], [[2, 4, 4, 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, 4, 4, 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, 4, 4, 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]]]], [[3, 4, 2, 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, 4, 2, 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, 4, 2, 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]]]], [[3, 7, 6, 1, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1
)^(1/2) < u,u < -v), x = 1, y < -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [1, 1], [-3, -3], [-2, -2]]]], [[3, 7, 6, 1, 2], [And(-2^(1/2) < v,v
< -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, y < -u^2+v^2-2, z = -(u^2-v^2+1)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576
, 987341/1048576], [1, 1], [-3, -3], [-1374407/2097152, -687203/1048576]]]], [
[3, 7, 6, 1, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x =
1, y < -u^2+v^2-2, And(-(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], [-3, -3], [0, 0]]]], [[3, 7, 6, 1, 4], [And(-2^(1/2) < v,v <
-1), And((v^2-1)^(1/2) < u,u < -v), x = 1, y < -u^2+v^2-2, z = (u^2-v^2+1)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [1, 1], [-3, -3], [687203/1048576, 171801/262144]]]], [[3, 7,
6, 1, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, y <
-u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [-3, -3], [2, 2]]]
], [[6, 2, 4, 4, 1], [v = 0, u = 0, x = 1, y = 2, z < -1], [regular_chain, [[0
, 0], [0, 0], [1, 1], [2, 2], [-2, -2]]]], [[6, 2, 4, 4, 2], [v = 0, u = 0, x
= 1, y = 2, z = -1], [regular_chain, [[0, 0], [0, 0], [1, 1], [2, 2], [-1, -1]
]]], [[6, 2, 4, 4, 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, 2, 4, 4, 4], [
v = 0, u = 0, x = 1, y = 2, z = 1], [regular_chain, [[0, 0], [0, 0], [1, 1], [
2, 2], [1, 1]]]], [[6, 2, 4, 4, 5], [v = 0, u = 0, x = 1, y = 2, 1 < z], [
regular_chain, [[0, 0], [0, 0], [1, 1], [2, 2], [2, 2]]]], [[7, 3, 5, 1, 1], [
And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 < x,x < 1), y < -u^2+v^2-x
-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1/8, 1/8],
[-2, -2], [-2, -2]]]], [[7, 3, 5, 1, 2], [And(0 < v,v < 1), And(-v < u,u < v),
And(-u^2+v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [1/8, 1/8], [-2, -2], [-1816187/2097152, -\
3632373/4194304]]]], [[7, 3, 5, 1, 3], [And(0 < v,v < 1), And(-v < u,u < v), 
And(-u^2+v^2-1 < x,x < 1), y < -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u
^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [1/8, 1/8], [-2, -2],
[-1/8388608, -1/8388608]]]], [[7, 3, 5, 1, 4], [And(0 < v,v < 1), And(-v < u,u
< v), And(-u^2+v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [1/8, 1/8], [-2, -2], [908093/1048576, 
454047/524288]]]], [[7, 3, 5, 1, 5], [And(0 < v,v < 1), And(-v < u,u < v), And
(-u^2+v^2-1 < x,x < 1), y < -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [0, 0], [1/8, 1/8], [-2, -2], [2, 2]]]], [[9, 2, 3
, 3, 1], [And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 1), And(-1-x < y,y <
x+1), z < -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/
1048576, -1265743/1048576], [0, 0], [0, 0], [-2, -2]]]], [[9, 2, 3, 3, 2], [
And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z =
-1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [0, 0], [-1, -1]]]], [[9, 2, 3, 3, 3], [And(1 < v,v
< 2^(1/2)), u = -v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), And(-1 < z,z < 1
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [0, 0], [0, 0]]]], [[9, 2, 3, 3, 4], [And(1 < v,v <
2^(1/2)), u = -v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z = 1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [0, 0], [1, 1]]]], [[9, 2, 3, 3, 5], [And(1 < v,v <
2^(1/2)), u = -v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), 1 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [0, 0], [2, 2]]]], [[9, 6, 1, 3, 1], [And(1 < v,v <
2^(1/2)), u = (v^2-1)^(1/2), x < -1, And(x < y,y < -x), z < 0], [regular_chain
, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-2, -\
2], [0, 0], [-1, -1]]]], [[9, 6, 1, 3, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1
)^(1/2), x < -1, And(x < y,y < -x), z = 0], [regular_chain, [[1265743/1048576,
1265743/1048576], [354469/524288, 708939/1048576], [-2, -2], [0, 0], [0, 0]]]]
, [[9, 6, 1, 3, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -1, And(x
< y,y < -x), 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
354469/524288, 708939/1048576], [-2, -2], [0, 0], [1, 1]]]], [[10, 3, 1, 4, 1]
, [v = 2^(1/2), And(-v < u,u < -1), x < -1, y = -u^2-x+1, z < -(u^2-1)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743
/1048576], [-2, -2], [1617841/1048576, 808921/524288], [-2, -2]]]], [[10, 3, 1
, 4, 2], [v = 2^(1/2), And(-v < u,u < -1), x < -1, y = -u^2-x+1, z = -(u^2-1)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576,
-1265743/1048576], [-2, -2], [1617841/1048576, 808921/524288], [-1417877/
2097152, -354469/524288]]]], [[10, 3, 1, 4, 3], [v = 2^(1/2), And(-v < u,u < -\
1), 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], [-2, -2], [1617841/1048576, 808921/524288], [0, 0]]]], [[10, 3, 1, 4
, 4], [v = 2^(1/2), And(-v < u,u < -1), x < -1, y = -u^2-x+1, z = (u^2-1)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [1617841/1048576, 808921/524288], [354469/524288,
708939/1048576]]]], [[10, 3, 1, 4, 5], [v = 2^(1/2), And(-v < u,u < -1), x < -\
1, y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [1617841/1048576, 
808921/524288], [2, 2]]]], [[10, 6, 5, 1, 1], [v = 2^(1/2), u = 0, 1 < x, y <
-x+1, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [2, 2
], [-2, -2], [0, 0]]]], [[11, 6, 3, 1, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), 
And(-1 < x,x < 1), y < x-1, z = z], [regular_chain, [[3, 3], [-5548543/2097152
, -2774271/1048576], [0, 0], [-2, -2], [0, 0]]]], [[11, 10, 3, 3, 1], [2^(1/2)
< v, u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < -x), z < 0], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [0, 0]
, [-1, -1]]]], [[11, 10, 3, 3, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-1 < x
,x < 0), And(x < y,y < -x), z = 0], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [-1/2, -1/2], [0, 0], [0, 0]]]], [[11, 10, 3, 3, 3], [2^(1/2
) < v, u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < -x), 0 < z], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [0, 0]
, [1, 1]]]], [[1, 3, 7, 5, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1
< x, u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [2, 2], [4, 4], [-2, -2]]]], [[1, 3, 7, 5,
2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [2, 2], [4, 4], [-735979/1048576, -1471957/2097152]]]], [[1, 3, 7, 5
, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, 
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], [4, 4], [-1/4194304, -1/4194304]
]]], [[1, 3, 7, 5, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, u^
2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [2, 2], [4, 4], [367989/524288, 735979/1048576]]]]
, [[1, 3, 7, 5, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, u^2-v
^2+x+1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [2, 2], [4, 4], [2, 2]]]], [[1, 7, 5, 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)
, -u^2+v^2-x-1 < y, z = z], [regular_chain, [[-3, -3], [0, 0], [9/2, 9/2], [5,
5], [0, 0]]]], [[2, 5, 4, 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, 9, 2, 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], [
569265/1048576, 284633/524288], [-2, -2]]]], [[2, 9, 2, 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
], [569265/1048576, 284633/524288], [-1417877/2097152, -354469/524288]]]], [[2
, 9, 2, 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], [569265/1048576, 
284633/524288], [0, 0]]]], [[2, 9, 2, 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], [569265/1048576,
284633/524288], [354469/524288, 708939/1048576]]]], [[2, 9, 2, 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], [569265/1048576, 284633/524288], [2, 2]]]], [[4, 4, 6, 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, 4, 6, 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,
4, 6, 2, 3], [v = -1, u = 0, x = 1, y = -1, 0 < z], [regular_chain, [[-1, -1],
[0, 0], [1, 1], [-1, -1], [1, 1]]]], [[5, 1, 4, 4, 1], [And(-1 < v,v < 0), u <
v, x = -1, y = u^2-v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [-2, -2], [-1, -1], [15/4, 15/4], [-4, -4]]]], [[5, 1, 4, 4, 2], [And(-1 < v
,v < 0), u < v, x = -1, y = u^2-v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-2, -2], [-1, -1], [15/4, 15/4], [-2285319/1048576, -1142659/
524288]]]], [[5, 1, 4, 4, 3], [And(-1 < v,v < 0), 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], [-2, -2], [-1, -1], [15/4, 15/4], [0, 0]]]], [[5, 1, 4, 4, 4], [And(-1 <
v,v < 0), u < v, x = -1, y = u^2-v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-2, -2], [-1, -1], [15/4, 15/4], [1142659/524288, 2285319/
1048576]]]], [[5, 1, 4, 4, 5], [And(-1 < v,v < 0), u < v, x = -1, y = u^2-v^2,
(u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-2, -2], [-1, -1], [15
/4, 15/4], [4, 4]]]], [[7, 4, 5, 1, 1], [And(0 < v,v < 1), u = v, 1 < x, y < -\
1-x, z < -1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [-4, -4], [-2,
-2]]]], [[7, 4, 5, 1, 2], [And(0 < v,v < 1), u = v, 1 < x, y < -1-x, z = -1],
[regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [-4, -4], [-1, -1]]]], [[7, 4
, 5, 1, 3], [And(0 < v,v < 1), u = v, 1 < x, y < -1-x, And(-1 < z,z < 1)], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [-4, -4], [0, 0]]]], [[7, 4, 5
, 1, 4], [And(0 < v,v < 1), u = v, 1 < x, y < -1-x, z = 1], [regular_chain, [[
1/2, 1/2], [1/2, 1/2], [2, 2], [-4, -4], [1, 1]]]], [[7, 4, 5, 1, 5], [And(0 <
v,v < 1), u = v, 1 < x, y < -1-x, 1 < z], [regular_chain, [[1/2, 1/2], [1/2, 1
/2], [2, 2], [-4, -4], [2, 2]]]], [[8, 3, 5, 3, 1], [v = 1, And(-1 < u,u < 0),
And(-u^2 < x,x < 1), And(-u^2-x < y,y < u^2+x), z < u], [regular_chain, [[1, 1
], [-1/2, -1/2], [3/8, 3/8], [0, 0], [-2, -2]]]], [[8, 3, 5, 3, 2], [v = 1, 
And(-1 < u,u < 0), And(-u^2 < x,x < 1), And(-u^2-x < y,y < u^2+x), z = u], [
regular_chain, [[1, 1], [-1/2, -1/2], [3/8, 3/8], [0, 0], [-1/2, -1/2]]]], [[8
, 3, 5, 3, 3], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 1), And(-u^2-x < y,
y < u^2+x), And(u < z,z < -u)], [regular_chain, [[1, 1], [-1/2, -1/2], [3/8, 3
/8], [0, 0], [0, 0]]]], [[8, 3, 5, 3, 4], [v = 1, And(-1 < u,u < 0), And(-u^2
< x,x < 1), And(-u^2-x < y,y < u^2+x), z = -u], [regular_chain, [[1, 1], [-1/2
, -1/2], [3/8, 3/8], [0, 0], [1/2, 1/2]]]], [[8, 3, 5, 3, 5], [v = 1, And(-1 <
u,u < 0), And(-u^2 < x,x < 1), And(-u^2-x < y,y < u^2+x), -u < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [3/8, 3/8], [0, 0], [2, 2]]]], [[11, 1,
5, 1, 1], [2^(1/2) < v, u < -v, And(-1 < x,x < 1), y < -u^2+v^2-x-1, z < -(u^2
-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [0, 0], [-9, -9], [-4, -4]]
]], [[11, 1, 5, 1, 2], [2^(1/2) < v, u < -v, And(-1 < x,x < 1), y < -u^2+v^2-x
-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [0, 0], [-9, -\
9], [-2965821/1048576, -11863283/4194304]]]], [[11, 1, 5, 1, 3], [2^(1/2) < v,
u < -v, And(-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], [-4, -4], [0, 0], [-9, -9], [-3/
8388608, -3/8388608]]]], [[11, 1, 5, 1, 4], [2^(1/2) < v, u < -v, And(-1 < x,x
< 1), y < -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4,
-4], [0, 0], [-9, -9], [741455/262144, 2965821/1048576]]]], [[11, 1, 5, 1, 5],
[2^(1/2) < v, u < -v, And(-1 < x,x < 1), y < -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) <
z], [regular_chain, [[3, 3], [-4, -4], [0, 0], [-9, -9], [4, 4]]]], [[11, 5, 3
, 1, 1], [2^(1/2) < v, And(-(v^2-1)^(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], [-22960369/
8388608, -22960369/8388608], [-515541/2097152, -515541/2097152], [-2, -2], [0,
0]]]], [[1, 13, 6, 1, 1], [v < -2^(1/2), -v < u, x = 1, y < -u^2+v^2-2, z < -(
u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [1, 1], [-10, -10], [-4,
-4]]]], [[1, 13, 6, 1, 2], [v < -2^(1/2), -v < u, x = 1, y < -u^2+v^2-2, z = -
(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [1, 1], [-10, -10], [-\
2965821/1048576, -11863283/4194304]]]], [[1, 13, 6, 1, 3], [v < -2^(1/2), -v <
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], [4, 4], [1, 1], [-10, -10], [-3/8388608, -3/8388608
]]]], [[1, 13, 6, 1, 4], [v < -2^(1/2), -v < u, x = 1, y < -u^2+v^2-2, z = (u^
2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [1, 1], [-10, -10], [
741455/262144, 2965821/1048576]]]], [[1, 13, 6, 1, 5], [v < -2^(1/2), -v < u,
x = 1, y < -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [4,
4], [1, 1], [-10, -10], [4, 4]]]], [[2, 4, 4, 1, 1], [v = -2^(1/2), u = -1, x
= 0, y < 0, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-1,
-1], [0, 0], [-1, -1], [-1, -1]]]], [[2, 4, 4, 1, 2], [v = -2^(1/2), u = -1, x
= 0, y < 0, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-1,
-1], [0, 0], [-1, -1], [0, 0]]]], [[2, 4, 4, 1, 3], [v = -2^(1/2), u = -1, x =
0, y < 0, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1
], [0, 0], [-1, -1], [1, 1]]]], [[3, 4, 2, 5, 1], [And(-2^(1/2) < v,v < -1), u
= -(v^2-1)^(1/2), x = -1, 1 < y, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [-1, -1], [2, 2], [-1, -\
1]]]], [[3, 4, 2, 5, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1
, 1 < y, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [-1, -1], [2, 2], [0, 0]]]], [[3, 4, 2, 5, 3
], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1, 1 < y, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-1, -1], [2, 2], [1, 1]]]], [[3, 7, 6, 2, 1], [And(-2^(1/2) <
v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, y = -u^2+v^2-2, z < -(u^2-v^2
+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [1, 1], [-374737/262144, -1498947/1048576], [-2, -2]
]]], [[3, 7, 6, 2, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v
), x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [-374737
/262144, -1498947/1048576], [-1374407/2097152, -687203/1048576]]]], [[3, 7, 6,
2, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, y = -u
^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [1, 1
], [-374737/262144, -1498947/1048576], [0, 0]]]], [[3, 7, 6, 2, 4], [And(-2^(1
/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, y = -u^2+v^2-2, z = (u^
2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [1, 1], [-374737/262144, -1498947/1048576], [
687203/1048576, 171801/262144]]]], [[3, 7, 6, 2, 5], [And(-2^(1/2) < v,v < -1)
, And((v^2-1)^(1/2) < u,u < -v), x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [1, 1], [-374737/262144, -1498947/1048576], [2, 2]]]], [[6, 2
, 4, 3, 1], [v = 0, u = 0, x = 1, And(-2 < y,y < 2), z < -1], [regular_chain,
[[0, 0], [0, 0], [1, 1], [0, 0], [-2, -2]]]], [[6, 2, 4, 3, 2], [v = 0, u = 0,
x = 1, And(-2 < y,y < 2), z = -1], [regular_chain, [[0, 0], [0, 0], [1, 1], [0
, 0], [-1, -1]]]], [[6, 2, 4, 3, 3], [v = 0, u = 0, x = 1, And(-2 < y,y < 2),
And(-1 < z,z < 1)], [regular_chain, [[0, 0], [0, 0], [1, 1], [0, 0], [0, 0]]]]
, [[6, 2, 4, 3, 4], [v = 0, u = 0, x = 1, And(-2 < y,y < 2), z = 1], [
regular_chain, [[0, 0], [0, 0], [1, 1], [0, 0], [1, 1]]]], [[6, 2, 4, 3, 5], [
v = 0, u = 0, x = 1, And(-2 < y,y < 2), 1 < z], [regular_chain, [[0, 0], [0, 0
], [1, 1], [0, 0], [2, 2]]]], [[7, 3, 4, 3, 1], [And(0 < v,v < 1), And(-v < u,
u < v), x = -u^2+v^2-1, 0 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2,
1/2], [0, 0], [-3/4, -3/4], [1, 1], [-2, -2]]]], [[7, 3, 4, 3, 2], [And(0 < v,
v < 1), And(-v < u,u < v), x = -u^2+v^2-1, 0 < y, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-3/4, -3/4], [1, 1], [-1816187/2097152, -\
3632373/4194304]]]], [[7, 3, 4, 3, 3], [And(0 < v,v < 1), And(-v < u,u < v), x
= -u^2+v^2-1, 0 < y, 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, 1], [-1/8388608, -1/
8388608]]]], [[7, 3, 4, 3, 4], [And(0 < v,v < 1), And(-v < u,u < v), x = -u^2+
v^2-1, 0 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3
/4, -3/4], [1, 1], [908093/1048576, 454047/524288]]]], [[7, 3, 4, 3, 5], [And(
0 < v,v < 1), And(-v < u,u < v), x = -u^2+v^2-1, 0 < y, (u^2-v^2+1)^(1/2) < z]
, [regular_chain, [[1/2, 1/2], [0, 0], [-3/4, -3/4], [1, 1], [2, 2]]]], [[9, 2
, 3, 4, 1], [And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 1), y = x+1, z < -\
1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [1, 1], [-2, -2]]]], [[9, 2, 3, 4, 2], [And(1 < v,v
< 2^(1/2)), u = -v, And(-1 < x,x < 1), y = x+1, z = -1], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [0, 0
], [1, 1], [-1, -1]]]], [[9, 2, 3, 4, 3], [And(1 < v,v < 2^(1/2)), u = -v, And
(-1 < x,x < 1), y = x+1, And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [0,
0]]]], [[9, 2, 3, 4, 4], [And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 1), y
= x+1, z = 1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/
1048576, -1265743/1048576], [0, 0], [1, 1], [1, 1]]]], [[9, 2, 3, 4, 5], [And(
1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 1), y = x+1, 1 < z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [
0, 0], [1, 1], [2, 2]]]], [[9, 6, 1, 4, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-\
1)^(1/2), x < -1, y = -x, z < 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [-2, -2], [2, 2], [-1, -1]]]], [[9,
6, 1, 4, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -1, y = -x, z = 0
], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939
/1048576], [-2, -2], [2, 2], [0, 0]]]], [[9, 6, 1, 4, 3], [And(1 < v,v < 2^(1/
2)), u = (v^2-1)^(1/2), x < -1, y = -x, 0 < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-2, -2], [2, 2],
[1, 1]]]], [[10, 3, 1, 3, 1], [v = 2^(1/2), And(-v < u,u < -1), x < -1, And(u^
2+x-1 < y,y < -u^2-x+1), z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [0, 0], [-2,
-2]]]], [[10, 3, 1, 3, 2], [v = 2^(1/2), And(-v < u,u < -1), x < -1, And(u^2+x
-1 < y,y < -u^2-x+1), z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [0, 0], [-\
1417877/2097152, -354469/524288]]]], [[10, 3, 1, 3, 3], [v = 2^(1/2), And(-v <
u,u < -1), x < -1, And(u^2+x-1 < y,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], [0, 0], [0, 0]]]], [[10, 3, 1, 3, 4], [v
= 2^(1/2), And(-v < u,u < -1), x < -1, And(u^2+x-1 < y,y < -u^2-x+1), z = (u^2
-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-2, -2], [0, 0], [354469/524288, 708939/1048576]]
]], [[10, 3, 1, 3, 5], [v = 2^(1/2), And(-v < u,u < -1), x < -1, And(u^2+x-1 <
y,y < -u^2-x+1), (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [0, 0], [2, 2]]]], [
[10, 6, 4, 3, 1], [v = 2^(1/2), u = 0, x = 1, 0 < y, z = z], [regular_chain, [
[741455/524288, 1482911/1048576], [0, 0], [1, 1], [1, 1], [0, 0]]]], [[11, 6,
3, 2, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x < 1), y = x-1, z = z]
, [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [0, 0], [-1,
-1], [0, 0]]]], [[11, 10, 3, 4, 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, 10, 3, 4, 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, 10, 3, 4, 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]]]], [[1, 3, 7, 4, 1], [v < -2^(1/2), And(v < u,u < -(v^2
-1)^(1/2)), 1 < x, y = u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [
[-3, -3], [-6111549/2097152, -6111549/2097152], [2, 2], [2613723/1048576, 
653431/262144], [-2, -2]]]], [[1, 3, 7, 4, 2], [v < -2^(1/2), And(v < u,u < -(
v^2-1)^(1/2)), 1 < x, y = u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [regular_chain
, [[-3, -3], [-6111549/2097152, -6111549/2097152], [2, 2], [2613723/1048576, 
653431/262144], [-735979/1048576, -1471957/2097152]]]], [[1, 3, 7, 4, 3], [v <
-2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-v^2+x+1, And(-(u^2-v^2
+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [2, 2], [2613723/1048576, 653431/262144], [-1/
4194304, -1/4194304]]]], [[1, 3, 7, 4, 4], [v < -2^(1/2), And(v < u,u < -(v^2-\
1)^(1/2)), 1 < x, y = u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-\
3, -3], [-6111549/2097152, -6111549/2097152], [2, 2], [2613723/1048576, 653431
/262144], [367989/524288, 735979/1048576]]]], [[1, 3, 7, 4, 5], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z],
[regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [2, 2], [
2613723/1048576, 653431/262144], [2, 2]]]], [[1, 7, 5, 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 = -u^2
+v^2-x-1, z = z], [regular_chain, [[-3, -3], [0, 0], [9/2, 9/2], [7/2, 7/2], [
0, 0]]]], [[2, 5, 4, 3, 1], [v = -2^(1/2), And(-1 < u,u < 0), x = -u^2+1, 0 <
y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2],
[3/4, 3/4], [1, 1], [0, 0]]]], [[2, 9, 2, 5, 1], [v = -2^(1/2), And(1 < u,u <
-v), x = -1, -u^2+2 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-1, -1], [2, 2]
, [-2, -2]]]], [[2, 9, 2, 5, 2], [v = -2^(1/2), And(1 < u,u < -v), x = -1, -u^
2+2 < y, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-1, -1], [2, 2], [-1417877/
2097152, -354469/524288]]]], [[2, 9, 2, 5, 3], [v = -2^(1/2), And(1 < u,u < -v
), x = -1, -u^2+2 < y, 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], [2, 2], [0, 0]]]], [[2, 9, 2, 5, 4], [v = -2^(1/2), And(1
< u,u < -v), x = -1, -u^2+2 < y, z = (u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-1, -1]
, [2, 2], [354469/524288, 708939/1048576]]]], [[2, 9, 2, 5, 5], [v = -2^(1/2),
And(1 < u,u < -v), x = -1, -u^2+2 < y, (u^2-1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-1, -1]
, [2, 2], [2, 2]]]], [[4, 4, 6, 1, 1], [v = -1, u = 0, x = 1, y < -1, z < 0],
[regular_chain, [[-1, -1], [0, 0], [1, 1], [-2, -2], [-1, -1]]]], [[4, 4, 6, 1
, 2], [v = -1, u = 0, x = 1, y < -1, z = 0], [regular_chain, [[-1, -1], [0, 0]
, [1, 1], [-2, -2], [0, 0]]]], [[4, 4, 6, 1, 3], [v = -1, u = 0, x = 1, y < -1
, 0 < z], [regular_chain, [[-1, -1], [0, 0], [1, 1], [-2, -2], [1, 1]]]], [[5,
1, 4, 3, 1], [And(-1 < v,v < 0), u < v, x = -1, And(-u^2+v^2 < y,y < u^2-v^2),
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [-1, -1], [0
, 0], [-4, -4]]]], [[5, 1, 4, 3, 2], [And(-1 < v,v < 0), u < v, x = -1, And(-u
^2+v^2 < y,y < u^2-v^2), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2
], [-2, -2], [-1, -1], [0, 0], [-2285319/1048576, -1142659/524288]]]], [[5, 1,
4, 3, 3], [And(-1 < v,v < 0), u < v, x = -1, And(-u^2+v^2 < y,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], [-2, -2], [-1, -1], [0, 0], [0, 0]]]], [[5, 1, 4, 3, 4], [And(-1 < v,v <
0), u < v, x = -1, And(-u^2+v^2 < y,y < u^2-v^2), z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-2, -2], [-1, -1], [0, 0], [1142659/524288, 
2285319/1048576]]]], [[5, 1, 4, 3, 5], [And(-1 < v,v < 0), u < v, x = -1, And(
-u^2+v^2 < y,y < u^2-v^2), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/
2], [-2, -2], [-1, -1], [0, 0], [4, 4]]]], [[7, 4, 5, 2, 1], [And(0 < v,v < 1)
, u = v, 1 < x, y = -1-x, z < -1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [2
, 2], [-3, -3], [-2, -2]]]], [[7, 4, 5, 2, 2], [And(0 < v,v < 1), u = v, 1 < x
, y = -1-x, z = -1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [-3, -3]
, [-1, -1]]]], [[7, 4, 5, 2, 3], [And(0 < v,v < 1), u = v, 1 < x, y = -1-x, 
And(-1 < z,z < 1)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [-3, -3],
[0, 0]]]], [[7, 4, 5, 2, 4], [And(0 < v,v < 1), u = v, 1 < x, y = -1-x, z = 1]
, [regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [-3, -3], [1, 1]]]], [[7, 4
, 5, 2, 5], [And(0 < v,v < 1), u = v, 1 < x, y = -1-x, 1 < z], [regular_chain,
[[1/2, 1/2], [1/2, 1/2], [2, 2], [-3, -3], [2, 2]]]], [[8, 3, 5, 4, 1], [v = 1
, And(-1 < u,u < 0), And(-u^2 < x,x < 1), y = u^2+x, z < u], [regular_chain, [
[1, 1], [-1/2, -1/2], [3/8, 3/8], [5/8, 5/8], [-2, -2]]]], [[8, 3, 5, 4, 2], [
v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 1), y = u^2+x, z = u], [
regular_chain, [[1, 1], [-1/2, -1/2], [3/8, 3/8], [5/8, 5/8], [-1/2, -1/2]]]],
[[8, 3, 5, 4, 3], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 1), y = u^2+x, 
And(u < z,z < -u)], [regular_chain, [[1, 1], [-1/2, -1/2], [3/8, 3/8], [5/8, 5
/8], [0, 0]]]], [[8, 3, 5, 4, 4], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x <
1), y = u^2+x, z = -u], [regular_chain, [[1, 1], [-1/2, -1/2], [3/8, 3/8], [5/
8, 5/8], [1/2, 1/2]]]], [[8, 3, 5, 4, 5], [v = 1, And(-1 < u,u < 0), And(-u^2
< x,x < 1), y = u^2+x, -u < z], [regular_chain, [[1, 1], [-1/2, -1/2], [3/8, 3
/8], [5/8, 5/8], [2, 2]]]], [[11, 1, 4, 5, 1], [2^(1/2) < v, u < -v, x = -1, u
^2-v^2 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [-1, -\
1], [8, 8], [-4, -4]]]], [[11, 1, 4, 5, 2], [2^(1/2) < v, u < -v, x = -1, u^2-
v^2 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [-1, -1],
[8, 8], [-2965821/1048576, -11863283/4194304]]]], [[11, 1, 4, 5, 3], [2^(1/2)
< v, u < -v, x = -1, u^2-v^2 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(
1/2))], [regular_chain, [[3, 3], [-4, -4], [-1, -1], [8, 8], [-3/8388608, -3/
8388608]]]], [[11, 1, 4, 5, 4], [2^(1/2) < v, u < -v, x = -1, u^2-v^2 < y, z =
(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [-1, -1], [8, 8], [
741455/262144, 2965821/1048576]]]], [[11, 1, 4, 5, 5], [2^(1/2) < v, u < -v, x
= -1, u^2-v^2 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-4, -4],
[-1, -1], [8, 8], [4, 4]]]], [[11, 5, 2, 5, 1], [2^(1/2) < v, And(-(v^2-1)^(1/
2) < u,u < -(v^2-2)^(1/2)), x = -1, -u^2+v^2 < y, z = z], [regular_chain, [[3,
3], [-22960369/8388608, -22960369/8388608], [-1, -1], [3, 3], [0, 0]]]], [[1,
4, 2, 1, 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], [-2
, -2], [-1, -1]]]], [[1, 4, 2, 1, 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], [-2, -2], [0, 0]]]], [[1, 4, 2, 1, 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], [-2, -2], [1, 1]]]], [[1, 7, 6, 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]]]], [[2,
5, 5, 5, 1], [v = -2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), u^2+x-1
< y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2]
, [7/8, 7/8], [2, 2], [0, 0]]]], [[2, 9, 3, 1, 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], [-2, -2], [-2, -2]]]], [[2, 9,
3, 1, 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], [-2,
-2], [-1417877/2097152, -354469/524288]]]], [[2, 9, 3, 1, 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], [-2,
-2], [0, 0]]]], [[2, 9, 3, 1, 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], [-2, -2], [354469/524288, 708939/1048576]]]], [[2,
9, 3, 1, 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], [-2,
-2], [2, 2]]]], [[4, 4, 7, 3, 1], [v = -1, u = 0, 1 < x, And(-x < y,y < x), z
< 0], [regular_chain, [[-1, -1], [0, 0], [2, 2], [0, 0], [-1, -1]]]], [[4, 4,
7, 3, 2], [v = -1, u = 0, 1 < x, And(-x < y,y < x), z = 0], [regular_chain, [[
-1, -1], [0, 0], [2, 2], [0, 0], [0, 0]]]], [[4, 4, 7, 3, 3], [v = -1, u = 0,
1 < x, And(-x < y,y < x), 0 < z], [regular_chain, [[-1, -1], [0, 0], [2, 2], [
0, 0], [1, 1]]]], [[5, 1, 5, 1, 1], [And(-1 < v,v < 0), u < v, And(-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],
[-2, -2], [0, 0], [-6, -6], [-4, -4]]]], [[5, 1, 5, 1, 2], [And(-1 < v,v < 0),
u < v, And(-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], [-2, -2], [0, 0], [-6, -6], [-2285319/1048576, -\
1142659/524288]]]], [[5, 1, 5, 1, 3], [And(-1 < v,v < 0), u < v, And(-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], [-2, -2], [0, 0], [-6, -6], [0, 0]]]], [[5, 1, 5
, 1, 4], [And(-1 < v,v < 0), u < v, And(-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], [-2, -2], [0, 0], [-6, -6],
[1142659/524288, 2285319/1048576]]]], [[5, 1, 5, 1, 5], [And(-1 < v,v < 0), u
< v, And(-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], [-2, -2], [0, 0], [-6, -6], [4, 4]]]], [[7, 5, 1
, 2, 1], [And(0 < v,v < 1), v < 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], [2, 2], [-6, -6], [-5/4, -5/4], [-\
4, -4]]]], [[7, 5, 1, 2, 2], [And(0 < v,v < 1), v < 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], [2, 2], [-6, -\
6], [-5/4, -5/4], [-2285319/1048576, -1142659/524288]]]], [[7, 5, 1, 2, 3], [
And(0 < v,v < 1), v < 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], [2, 2], [-6, -6],
[-5/4, -5/4], [0, 0]]]], [[7, 5, 1, 2, 4], [And(0 < v,v < 1), v < 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], [
2, 2], [-6, -6], [-5/4, -5/4], [1142659/524288, 2285319/1048576]]]], [[7, 5, 1
, 2, 5], [And(0 < v,v < 1), v < 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], [2, 2], [-6, -6], [-5/4, -5/4], [4,
4]]]], [[8, 3, 5, 5, 1], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 1), u^2+x
< y, z < u], [regular_chain, [[1, 1], [-1/2, -1/2], [3/8, 3/8], [2, 2], [-2, -\
2]]]], [[8, 3, 5, 5, 2], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 1), u^2+x
< y, z = u], [regular_chain, [[1, 1], [-1/2, -1/2], [3/8, 3/8], [2, 2], [-1/2,
-1/2]]]], [[8, 3, 5, 5, 3], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 1), u^
2+x < y, And(u < z,z < -u)], [regular_chain, [[1, 1], [-1/2, -1/2], [3/8, 3/8]
, [2, 2], [0, 0]]]], [[8, 3, 5, 5, 4], [v = 1, And(-1 < u,u < 0), And(-u^2 < x
,x < 1), u^2+x < y, z = -u], [regular_chain, [[1, 1], [-1/2, -1/2], [3/8, 3/8]
, [2, 2], [1/2, 1/2]]]], [[8, 3, 5, 5, 5], [v = 1, And(-1 < u,u < 0), And(-u^2
< x,x < 1), u^2+x < y, -u < z], [regular_chain, [[1, 1], [-1/2, -1/2], [3/8, 3
/8], [2, 2], [2, 2]]]], [[11, 1, 4, 4, 1], [2^(1/2) < v, u < -v, x = -1, y = u
^2-v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [-1, -1],
[7, 7], [-4, -4]]]], [[11, 1, 4, 4, 2], [2^(1/2) < v, u < -v, x = -1, y = u^2-
v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [-1, -1], [7,
7], [-2965821/1048576, -11863283/4194304]]]], [[11, 1, 4, 4, 3], [2^(1/2) < v,
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], [-4, -4], [-1, -1], [7, 7], [-3/8388608, -3/
8388608]]]], [[11, 1, 4, 4, 4], [2^(1/2) < v, u < -v, x = -1, y = u^2-v^2, z =
(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [-1, -1], [7, 7], [
741455/262144, 2965821/1048576]]]], [[11, 1, 4, 4, 5], [2^(1/2) < v, u < -v, x
= -1, y = u^2-v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-4, -4],
[-1, -1], [7, 7], [4, 4]]]], [[11, 5, 1, 5, 1], [2^(1/2) < v, And(-(v^2-1)^(1/
2) < u,u < -(v^2-2)^(1/2)), x < -1, -u^2+v^2-x-1 < y, z = z], [regular_chain,
[[3, 3], [-22960369/8388608, -22960369/8388608], [-2, -2], [4, 4], [0, 0]]]],
[[1, 13, 5, 5, 1], [v < -2^(1/2), -v < u, And(-1 < x,x < 1), u^2-v^2+x+1 < y,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [0, 0], [9, 9], [-\
4, -4]]]], [[1, 13, 5, 5, 2], [v < -2^(1/2), -v < u, And(-1 < x,x < 1), u^2-v^
2+x+1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [0, 0],
[9, 9], [-2965821/1048576, -11863283/4194304]]]], [[1, 13, 5, 5, 3], [v < -2^(
1/2), -v < u, And(-1 < x,x < 1), u^2-v^2+x+1 < y, And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [4, 4], [0, 0], [9, 9], [-3/
8388608, -3/8388608]]]], [[1, 13, 5, 5, 4], [v < -2^(1/2), -v < u, And(-1 < x,
x < 1), u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4
, 4], [0, 0], [9, 9], [741455/262144, 2965821/1048576]]]], [[1, 13, 5, 5, 5],
[v < -2^(1/2), -v < u, And(-1 < x,x < 1), u^2-v^2+x+1 < y, (u^2-v^2+1)^(1/2) <
z], [regular_chain, [[-3, -3], [4, 4], [0, 0], [9, 9], [4, 4]]]], [[2, 4, 3, 1
, 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], [-2, -2], [-1, -1
]]]], [[2, 4, 3, 1, 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]
, [-2, -2], [0, 0]]]], [[2, 4, 3, 1, 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], [-2, -2], [1, 1]]]], [[3, 4, 2, 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, 4, 2, 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, 4, 2, 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, 7, 4, 3, 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+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-112593/262144, -450371/1048576],
[1, 1], [-2, -2]]]], [[3, 7, 4, 3, 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+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-112593/262144, -450371/1048576], [1, 1], [-1374407/2097152, -\
687203/1048576]]]], [[3, 7, 4, 3, 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+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], [1, 1], [0, 0]]]]
, [[3, 7, 4, 3, 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+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-112593/262144,
-450371/1048576], [1, 1], [687203/1048576, 171801/262144]]]], [[3, 7, 4, 3, 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+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-112593/262144, -450371/1048576],
[1, 1], [2, 2]]]], [[6, 2, 4, 2, 1], [v = 0, u = 0, x = 1, y = -2, z < -1], [
regular_chain, [[0, 0], [0, 0], [1, 1], [-2, -2], [-2, -2]]]], [[6, 2, 4, 2, 2
], [v = 0, u = 0, x = 1, y = -2, z = -1], [regular_chain, [[0, 0], [0, 0], [1,
1], [-2, -2], [-1, -1]]]], [[6, 2, 4, 2, 3], [v = 0, u = 0, x = 1, y = -2, And
(-1 < z,z < 1)], [regular_chain, [[0, 0], [0, 0], [1, 1], [-2, -2], [0, 0]]]],
[[6, 2, 4, 2, 4], [v = 0, u = 0, x = 1, y = -2, z = 1], [regular_chain, [[0, 0
], [0, 0], [1, 1], [-2, -2], [1, 1]]]], [[6, 2, 4, 2, 5], [v = 0, u = 0, x = 1
, y = -2, 1 < z], [regular_chain, [[0, 0], [0, 0], [1, 1], [-2, -2], [2, 2]]]]
, [[7, 3, 3, 3, 1], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+
v^2-1), And(u^2-v^2+x+1 < y,y < -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], [0, 0], [-2, -2]]]], [[7, 3,
3, 3, 2], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), 
And(u^2-v^2+x+1 < y,y < -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], [0, 0], [-1816187/2097152, -3632373/
4194304]]]], [[7, 3, 3, 3, 3], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 <
x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -u^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], [0, 0], [-1/8388608, -1/8388608]]]], [[7, 3, 3, 3, 4], [And(0 < v,v < 1),
And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -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], [0, 0], [908093/1048576, 454047/524288]]]], [[7, 3, 3, 3, 5], [And(0 < v,
v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y <
-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], [0, 0], [2, 2]]]], [[9, 2, 3, 1, 1], [And(1 < v,v < 2^(1/2)), u =
-v, And(-1 < x,x < 1), y < -1-x, z < -1], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [-2, -2], [-2,
-2]]]], [[9, 2, 3, 1, 2], [And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 1),
y < -1-x, z = -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [0, 0], [-2, -2], [-1, -1]]]], [[9, 2, 3,
1, 3], [And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 1), y < -1-x, And(-1 <
z,z < 1)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/
1048576, -1265743/1048576], [0, 0], [-2, -2], [0, 0]]]], [[9, 2, 3, 1, 4], [
And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 1), y < -1-x, z = 1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-2, -2], [1, 1]]]], [[9, 2, 3, 1, 5], [And(1 < v,v
< 2^(1/2)), u = -v, And(-1 < x,x < 1), y < -1-x, 1 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [0, 0
], [-2, -2], [2, 2]]]], [[9, 5, 7, 2, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1
)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [2, 2], [-3235683/
2097152, -1617841/1048576], [0, 0]]]], [[10, 3, 2, 5, 1], [v = 2^(1/2), And(-v
< u,u < -1), x = -1, -u^2+2 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [2,
2], [-2, -2]]]], [[10, 3, 2, 5, 2], [v = 2^(1/2), And(-v < u,u < -1), x = -1,
-u^2+2 < y, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [2, 2], [-1417877/
2097152, -354469/524288]]]], [[10, 3, 2, 5, 3], [v = 2^(1/2), And(-v < u,u < -\
1), x = -1, -u^2+2 < y, 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], [2, 2], [0, 0]]]], [[10, 3, 2, 5, 4], [v = 2^(1/2), And(-v
< u,u < -1), x = -1, -u^2+2 < y, z = (u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [2,
2], [354469/524288, 708939/1048576]]]], [[10, 3, 2, 5, 5], [v = 2^(1/2), And(-
v < u,u < -1), x = -1, -u^2+2 < y, (u^2-1)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1
], [2, 2], [2, 2]]]], [[10, 6, 5, 3, 1], [v = 2^(1/2), u = 0, 1 < x, And(-x+1
< y,y < x-1), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0
], [2, 2], [0, 0], [0, 0]]]], [[11, 6, 4, 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, 10, 3, 5, 1], [2^(1/2) < v,
u = (v^2-1)^(1/2), And(-1 < x,x < 0), -x < y, z < 0], [regular_chain, [[3, 3],
[741455/262144, 2965821/1048576], [-1/2, -1/2], [2, 2], [-1, -1]]]], [[11, 10,
3, 5, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-1 < x,x < 0), -x < y, z = 0],
[regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [2, 2
], [0, 0]]]], [[11, 10, 3, 5, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-1 < x,
x < 0), -x < y, 0 < z], [regular_chain, [[3, 3], [741455/262144, 2965821/
1048576], [-1/2, -1/2], [2, 2], [1, 1]]]], [[1, 4, 1, 5, 1], [v < -2^(1/2), u
= -(v^2-1)^(1/2), x < -1, -x < y, z < 0], [regular_chain, [[-3, -3], [-2965821
/1048576, -11863283/4194304], [-2, -2], [3, 3], [-1, -1]]]], [[1, 4, 1, 5, 2],
[v < -2^(1/2), u = -(v^2-1)^(1/2), x < -1, -x < y, z = 0], [regular_chain, [[-\
3, -3], [-2965821/1048576, -11863283/4194304], [-2, -2], [3, 3], [0, 0]]]], [[
1, 4, 1, 5, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -1, -x < y, 0 < z], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-2, -2], [3,
3], [1, 1]]]], [[1, 7, 6, 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]]]], [[2, 5, 6, 1, 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], [-2, -2], [0, 0]]]], [[2, 9, 3, 2, 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, 9, 3, 2, 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, 9, 3, 2, 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, 9, 3, 2, 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, 9, 3, 2, 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]]]], [[4, 4, 7, 2, 1], [v = -1, u = 0, 1 < x, y = -x, z < 0], [
regular_chain, [[-1, -1], [0, 0], [2, 2], [-2, -2], [-1, -1]]]], [[4, 4, 7, 2,
2], [v = -1, u = 0, 1 < x, y = -x, z = 0], [regular_chain, [[-1, -1], [0, 0],
[2, 2], [-2, -2], [0, 0]]]], [[4, 4, 7, 2, 3], [v = -1, u = 0, 1 < x, y = -x,
0 < z], [regular_chain, [[-1, -1], [0, 0], [2, 2], [-2, -2], [1, 1]]]], [[5, 1
, 4, 5, 1], [And(-1 < v,v < 0), u < v, x = -1, u^2-v^2 < y, z < -(u^2-v^2+1)^(
1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [-1, -1], [5, 5], [-4, -4]]]],
[[5, 1, 4, 5, 2], [And(-1 < v,v < 0), u < v, x = -1, u^2-v^2 < y, z = -(u^2-v^
2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [-1, -1], [5, 5], [-\
2285319/1048576, -1142659/524288]]]], [[5, 1, 4, 5, 3], [And(-1 < v,v < 0), u
< v, x = -1, u^2-v^2 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))],
[regular_chain, [[-1/2, -1/2], [-2, -2], [-1, -1], [5, 5], [0, 0]]]], [[5, 1,
4, 5, 4], [And(-1 < v,v < 0), u < v, x = -1, u^2-v^2 < y, z = (u^2-v^2+1)^(1/2
)], [regular_chain, [[-1/2, -1/2], [-2, -2], [-1, -1], [5, 5], [1142659/524288
, 2285319/1048576]]]], [[5, 1, 4, 5, 5], [And(-1 < v,v < 0), u < v, x = -1, u^
2-v^2 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-2, -2], [-\
1, -1], [5, 5], [4, 4]]]], [[7, 5, 1, 3, 1], [And(0 < v,v < 1), v < u, x < -u^
2+v^2-1, And(u^2-v^2+x+1 < y,y < -u^2+v^2-x-1), z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [2, 2], [-6, -6], [0, 0], [-4, -4]]]], [[7, 5, 1,
3, 2], [And(0 < v,v < 1), v < u, x < -u^2+v^2-1, And(u^2-v^2+x+1 < y,y < -u^2+
v^2-x-1), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [-6, -\
6], [0, 0], [-2285319/1048576, -1142659/524288]]]], [[7, 5, 1, 3, 3], [And(0 <
v,v < 1), v < u, x < -u^2+v^2-1, And(u^2-v^2+x+1 < y,y < -u^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], [2,
2], [-6, -6], [0, 0], [0, 0]]]], [[7, 5, 1, 3, 4], [And(0 < v,v < 1), v < u, x
< -u^2+v^2-1, And(u^2-v^2+x+1 < y,y < -u^2+v^2-x-1), z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [2, 2], [-6, -6], [0, 0], [1142659/524288, 2285319
/1048576]]]], [[7, 5, 1, 3, 5], [And(0 < v,v < 1), v < u, x < -u^2+v^2-1, And(
u^2-v^2+x+1 < y,y < -u^2+v^2-x-1), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1
/2, 1/2], [2, 2], [-6, -6], [0, 0], [4, 4]]]], [[8, 3, 6, 1, 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, -3], [-2, -2]]]], [[8, 3, 6, 1, 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,
-3], [-1/2, -1/2]]]], [[8, 3, 6, 1, 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
, -3], [0, 0]]]], [[8, 3, 6, 1, 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, -3], [1/2, 1/
2]]]], [[8, 3, 6, 1, 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, -3], [2, 2]]]], [[11, 1,
4, 3, 1], [2^(1/2) < v, u < -v, x = -1, And(-u^2+v^2 < y,y < u^2-v^2), z < -(u
^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [-1, -1], [0, 0], [-4, -4
]]]], [[11, 1, 4, 3, 2], [2^(1/2) < v, u < -v, x = -1, And(-u^2+v^2 < y,y < u^
2-v^2), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [-1, -1],
[0, 0], [-2965821/1048576, -11863283/4194304]]]], [[11, 1, 4, 3, 3], [2^(1/2)
< v, u < -v, x = -1, And(-u^2+v^2 < y,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], [-4, -4], [-1, -1], [0, 0],
[-3/8388608, -3/8388608]]]], [[11, 1, 4, 3, 4], [2^(1/2) < v, u < -v, x = -1,
And(-u^2+v^2 < y,y < u^2-v^2), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3]
, [-4, -4], [-1, -1], [0, 0], [741455/262144, 2965821/1048576]]]], [[11, 1, 4,
3, 5], [2^(1/2) < v, u < -v, x = -1, And(-u^2+v^2 < y,y < u^2-v^2), (u^2-v^2+1
)^(1/2) < z], [regular_chain, [[3, 3], [-4, -4], [-1, -1], [0, 0], [4, 4]]]],
[[11, 5, 1, 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-x-1, z = z], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [-2, -2], [2630187/1048576, 657547/262144], [0, 0]]]], [[1,
13, 5, 4, 1], [v < -2^(1/2), -v < u, And(-1 < x,x < 1), y = u^2-v^2+x+1, z < -
(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [0, 0], [8, 8], [-4, -4
]]]], [[1, 13, 5, 4, 2], [v < -2^(1/2), -v < u, And(-1 < x,x < 1), y = u^2-v^2
+x+1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [0, 0], [8,
8], [-2965821/1048576, -11863283/4194304]]]], [[1, 13, 5, 4, 3], [v < -2^(1/2)
, -v < u, And(-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], [4, 4], [0, 0], [8, 8], [-3/
8388608, -3/8388608]]]], [[1, 13, 5, 4, 4], [v < -2^(1/2), -v < u, And(-1 < x,
x < 1), y = u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4
, 4], [0, 0], [8, 8], [741455/262144, 2965821/1048576]]]], [[1, 13, 5, 4, 5],
[v < -2^(1/2), -v < u, And(-1 < x,x < 1), y = u^2-v^2+x+1, (u^2-v^2+1)^(1/2) <
z], [regular_chain, [[-3, -3], [4, 4], [0, 0], [8, 8], [4, 4]]]], [[2, 4, 2, 5
, 1], [v = -2^(1/2), u = -1, x = -1, 1 < y, z < 0], [regular_chain, [[-1482911
/1048576, -741455/524288], [-1, -1], [-1, -1], [2, 2], [-1, -1]]]], [[2, 4, 2,
5, 2], [v = -2^(1/2), u = -1, x = -1, 1 < y, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [2, 2], [0, 0]]]], [[2,
4, 2, 5, 3], [v = -2^(1/2), u = -1, x = -1, 1 < y, 0 < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [2, 2], [1, 1]]]], [[3,
4, 2, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1, And(-1 < y
,y < 1), z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [-1, -1], [0, 0], [-1, -1]]]], [[3, 4, 2, 3,
2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1, And(-1 < y,y < 1),
z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/
2097152, -354469/524288], [-1, -1], [0, 0], [0, 0]]]], [[3, 4, 2, 3, 3], [And(
-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1, And(-1 < y,y < 1), 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-1, -1], [0, 0], [1, 1]]]], [[3, 7, 5, 1, 1], [And(-2^(1/2) <
v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 1), y < -u^2+
v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [987341/1048576, 987341/1048576], [598205/2097152, 598205/2097152],
[-2, -2], [-2, -2]]]], [[3, 7, 5, 1, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1
)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z = -(u^2-v^
2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [598205/2097152, 598205/2097152], [-2, -2], [-\
1374407/2097152, -687203/1048576]]]], [[3, 7, 5, 1, 3], [And(-2^(1/2) < v,v <
-1), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 1), y < -u^2+v^2-x-\
1, And(-(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], [598205/
2097152, 598205/2097152], [-2, -2], [0, 0]]]], [[3, 7, 5, 1, 4], [And(-2^(1/2)
< v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 1), y < -u^
2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [598205/2097152, 598205/
2097152], [-2, -2], [687203/1048576, 171801/262144]]]], [[3, 7, 5, 1, 5], [And
(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 1
), y < -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [598205/2097152,
598205/2097152], [-2, -2], [2, 2]]]], [[6, 2, 4, 1, 1], [v = 0, u = 0, x = 1,
y < -2, z < -1], [regular_chain, [[0, 0], [0, 0], [1, 1], [-3, -3], [-2, -2]]]
], [[6, 2, 4, 1, 2], [v = 0, u = 0, x = 1, y < -2, z = -1], [regular_chain, [[
0, 0], [0, 0], [1, 1], [-3, -3], [-1, -1]]]], [[6, 2, 4, 1, 3], [v = 0, u = 0,
x = 1, y < -2, And(-1 < z,z < 1)], [regular_chain, [[0, 0], [0, 0], [1, 1], [-\
3, -3], [0, 0]]]], [[6, 2, 4, 1, 4], [v = 0, u = 0, x = 1, y < -2, z = 1], [
regular_chain, [[0, 0], [0, 0], [1, 1], [-3, -3], [1, 1]]]], [[6, 2, 4, 1, 5],
[v = 0, u = 0, x = 1, y < -2, 1 < z], [regular_chain, [[0, 0], [0, 0], [1, 1],
[-3, -3], [2, 2]]]], [[7, 3, 3, 2, 1], [And(0 < v,v < 1), And(-v < u,u < v), 
And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [-1/8, -1/8], [-2, -2]]]], [
[7, 3, 3, 2, 2], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2
-1), y = u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0
, 0], [-7/8, -7/8], [-1/8, -1/8], [-1816187/2097152, -3632373/4194304]]]], [[7
, 3, 3, 2, 3], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1
), y = u^2-v^2+x+1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [-1/8, -1/8], [-1/8388608, -\
1/8388608]]]], [[7, 3, 3, 2, 4], [And(0 < v,v < 1), And(-v < u,u < v), And(-1
< x,x < -u^2+v^2-1), y = u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)], [regular_chain,
[[1/2, 1/2], [0, 0], [-7/8, -7/8], [-1/8, -1/8], [908093/1048576, 454047/
524288]]]], [[7, 3, 3, 2, 5], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x
,x < -u^2+v^2-1), y = u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1
/2, 1/2], [0, 0], [-7/8, -7/8], [-1/8, -1/8], [2, 2]]]], [[9, 2, 3, 2, 1], [
And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 1), y = -1-x, z < -1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-1, -1], [-2, -2]]]], [[9, 2, 3, 2, 2], [And(1 < v,
v < 2^(1/2)), u = -v, And(-1 < x,x < 1), y = -1-x, z = -1], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [0, 0
], [-1, -1], [-1, -1]]]], [[9, 2, 3, 2, 3], [And(1 < v,v < 2^(1/2)), u = -v, 
And(-1 < x,x < 1), y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [-1,
-1], [0, 0]]]], [[9, 2, 3, 2, 4], [And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,
x < 1), y = -1-x, z = 1], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [1, 1]]]], [[9, 2, 3,
2, 5], [And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 1), y = -1-x, 1 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-1, -1], [2, 2]]]], [[9, 5, 7, 3, 1], [And(1 < v,v
< 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1
< y,y < u^2-v^2+x+1), z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [2, 2], [0, 0], [0, 0]]]], [[10, 3, 2, 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], [569265/1048576, 284633/524288], [-2, -2]]]], [[10, 3, 2, 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], [569265/1048576, 284633/524288], [-1417877/2097152, -\
354469/524288]]]], [[10, 3, 2, 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
], [569265/1048576, 284633/524288], [0, 0]]]], [[10, 3, 2, 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], [569265/1048576, 284633/524288], [354469/524288, 708939/1048576]]]], [[10
, 3, 2, 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], [569265/1048576, 284633/524288], [2, 2]]
]], [[10, 6, 5, 2, 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]]]], [[11, 6, 4, 3, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 1, 0 < y, z
= z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [1, 1], [
1, 1], [0, 0]]]], [[11, 10, 4, 1, 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], [-1, -1], [-1, -1]]]], [[11, 10, 4, 1, 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], [-1, -1], [0, 0]]]], [[11, 10, 4, 1, 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], [-1, -1], [1, 1]]]], [[1, 4, 1, 4, 1], [v < -2^(1/2)
, u = -(v^2-1)^(1/2), x < -1, y = -x, z < 0], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [-2, -2], [2, 2], [-1, -1]]]], [[1, 4, 1,
4, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -1, y = -x, z = 0], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-2, -2], [2,
2], [0, 0]]]], [[1, 4, 1, 4, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -1, y
= -x, 0 < z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304]
, [-2, -2], [2, 2], [1, 1]]]], [[1, 7, 7, 1, 1], [v < -2^(1/2), And(-(v^2-2)^(
1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, y < -u^2+v^2-x-1, z = z], [
regular_chain, [[-3, -3], [0, 0], [9, 9], [-2, -2], [0, 0]]]], [[2, 5, 5, 3, 1
], [v = -2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), And(-u^2-x+1 < y,y
< u^2+x-1), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2
, -1/2], [7/8, 7/8], [0, 0], [0, 0]]]], [[2, 9, 3, 3, 1], [v = -2^(1/2), And(1
< u,u < -v), And(-1 < x,x < -u^2+1), And(u^2+x-1 < y,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], [0, 0], [-2,
-2]]]], [[2, 9, 3, 3, 2], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^
2+1), And(u^2+x-1 < y,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], [0, 0], [-1417877/2097152, -354469/524288]
]]], [[2, 9, 3, 3, 3], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1
), And(u^2+x-1 < y,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], [0, 0], [0, 0]]]], [[2, 9, 3,
3, 4], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), And(u^2+x-1 <
y,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], [0, 0], [354469/524288, 708939/1048576]]]], [[2, 9, 3, 3, 5]
, [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), And(u^2+x-1 < y,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], [0, 0], [2, 2]]]], [[4, 4, 7, 1, 1], [v = -1, u = 0, 1 < x, y < -x,
z < 0], [regular_chain, [[-1, -1], [0, 0], [2, 2], [-3, -3], [-1, -1]]]], [[4,
4, 7, 1, 2], [v = -1, u = 0, 1 < x, y < -x, z = 0], [regular_chain, [[-1, -1],
[0, 0], [2, 2], [-3, -3], [0, 0]]]], [[4, 4, 7, 1, 3], [v = -1, u = 0, 1 < x,
y < -x, 0 < z], [regular_chain, [[-1, -1], [0, 0], [2, 2], [-3, -3], [1, 1]]]]
, [[5, 1, 5, 3, 1], [And(-1 < v,v < 0), u < v, And(-1 < x,x < 1), And(-u^2+v^2
-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1
/2], [-2, -2], [0, 0], [0, 0], [-4, -4]]]], [[5, 1, 5, 3, 2], [And(-1 < v,v <
0), u < v, And(-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2
-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [0, 0], [0, 0], [-\
2285319/1048576, -1142659/524288]]]], [[5, 1, 5, 3, 3], [And(-1 < v,v < 0), u
< v, And(-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^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], [-2, -2],
[0, 0], [0, 0], [0, 0]]]], [[5, 1, 5, 3, 4], [And(-1 < v,v < 0), u < v, And(-1
< x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-2, -2], [0, 0], [0, 0], [1142659/524288, 
2285319/1048576]]]], [[5, 1, 5, 3, 5], [And(-1 < v,v < 0), u < v, And(-1 < x,x
< 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-2, -2], [0, 0], [0, 0], [4, 4]]]], [[7, 4, 5,
5, 1], [And(0 < v,v < 1), u = v, 1 < x, x+1 < y, z < -1], [regular_chain, [[1/
2, 1/2], [1/2, 1/2], [2, 2], [4, 4], [-2, -2]]]], [[7, 4, 5, 5, 2], [And(0 < v
,v < 1), u = v, 1 < x, x+1 < y, z = -1], [regular_chain, [[1/2, 1/2], [1/2, 1/
2], [2, 2], [4, 4], [-1, -1]]]], [[7, 4, 5, 5, 3], [And(0 < v,v < 1), u = v, 1
< x, x+1 < y, And(-1 < z,z < 1)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [2,
2], [4, 4], [0, 0]]]], [[7, 4, 5, 5, 4], [And(0 < v,v < 1), u = v, 1 < x, x+1
< y, z = 1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [4, 4], [1, 1]]]
], [[7, 4, 5, 5, 5], [And(0 < v,v < 1), u = v, 1 < x, x+1 < y, 1 < z], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [4, 4], [2, 2]]]], [[8, 3, 6,
2, 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, 3, 6, 2, 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, 3, 6, 2, 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, 3, 6, 2, 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, 3, 6, 2, 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]]]], [[11, 1, 4, 2, 1], [2^(1/2) < v, u < -v, x = -\
1, y = -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [
-1, -1], [-7, -7], [-4, -4]]]], [[11, 1, 4, 2, 2], [2^(1/2) < v, u < -v, x = -\
1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [
-1, -1], [-7, -7], [-2965821/1048576, -11863283/4194304]]]], [[11, 1, 4, 2, 3]
, [2^(1/2) < v, 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], [-4, -4], [-1, -1], [-7, -7], [-3
/8388608, -3/8388608]]]], [[11, 1, 4, 2, 4], [2^(1/2) < v, u < -v, x = -1, y =
-u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [-1, -1],
[-7, -7], [741455/262144, 2965821/1048576]]]], [[11, 1, 4, 2, 5], [2^(1/2) < v
, u < -v, x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3
], [-4, -4], [-1, -1], [-7, -7], [4, 4]]]], [[11, 5, 2, 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]]]], [[1, 13, 5, 3, 1], [v < -2^(1/2),
-v < u, And(-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^
2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [0, 0], [0, 0], [-4, -4]]]], [
[1, 13, 5, 3, 2], [v < -2^(1/2), -v < u, And(-1 < x,x < 1), And(-u^2+v^2-x-1 <
y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4]
, [0, 0], [0, 0], [-2965821/1048576, -11863283/4194304]]]], [[1, 13, 5, 3, 3],
[v < -2^(1/2), -v < u, And(-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1
), And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -\
3], [4, 4], [0, 0], [0, 0], [-3/8388608, -3/8388608]]]], [[1, 13, 5, 3, 4], [v
< -2^(1/2), -v < u, And(-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1),
z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [0, 0], [0, 0], [
741455/262144, 2965821/1048576]]]], [[1, 13, 5, 3, 5], [v < -2^(1/2), -v < u,
And(-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) <
z], [regular_chain, [[-3, -3], [4, 4], [0, 0], [0, 0], [4, 4]]]], [[2, 4, 3, 3
, 1], [v = -2^(1/2), u = -1, And(-1 < x,x < 0), And(x < y,y < -x), z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [0
, 0], [-1, -1]]]], [[2, 4, 3, 3, 2], [v = -2^(1/2), u = -1, And(-1 < x,x < 0),
And(x < y,y < -x), z = 0], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1, -1], [-1/2, -1/2], [0, 0], [0, 0]]]], [[2, 4, 3, 3, 3], [v = -2^(1/2),
u = -1, And(-1 < x,x < 0), And(x < y,y < -x), 0 < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [0, 0], [1, 1]]]], [
[3, 4, 1, 5, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -1, -x < y
, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/
2097152, -354469/524288], [-2, -2], [3, 3], [-1, -1]]]], [[3, 4, 1, 5, 2], [
And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -1, -x < y, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-2, -2], [3, 3], [0, 0]]]], [[3, 4, 1, 5, 3], [And(-2^(1/2) <
v,v < -1), u = -(v^2-1)^(1/2), x < -1, -x < y, 0 < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-2, -\
2], [3, 3], [1, 1]]]], [[3, 7, 5, 2, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1
)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^
2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [598205/2097152, 598205/2097152], [-374737/524288, -\
1498947/2097152], [-2, -2]]]], [[3, 7, 5, 2, 2], [And(-2^(1/2) < v,v < -1), 
And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[987341/1048576, 987341/1048576], [598205/2097152, 598205/2097152], [-374737/
524288, -1498947/2097152], [-1374407/2097152, -687203/1048576]]]], [[3, 7, 5,
2, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-\
1 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/
2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576,
987341/1048576], [598205/2097152, 598205/2097152], [-374737/524288, -1498947/
2097152], [0, 0]]]], [[3, 7, 5, 2, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^
(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [598205/2097152, 598205/2097152], [-374737/524288, -\
1498947/2097152], [687203/1048576, 171801/262144]]]], [[3, 7, 5, 2, 5], [And(-
2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 1),
y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [987341/1048576, 987341/1048576], [598205/2097152, 598205/
2097152], [-374737/524288, -1498947/2097152], [2, 2]]]], [[6, 2, 3, 5, 1], [v
= 0, u = 0, And(-1 < x,x < 1), x+1 < y, z < -1], [regular_chain, [[0, 0], [0,
0], [0, 0], [2, 2], [-2, -2]]]], [[6, 2, 3, 5, 2], [v = 0, u = 0, And(-1 < x,x
< 1), x+1 < y, z = -1], [regular_chain, [[0, 0], [0, 0], [0, 0], [2, 2], [-1,
-1]]]], [[6, 2, 3, 5, 3], [v = 0, u = 0, And(-1 < x,x < 1), x+1 < y, And(-1 <
z,z < 1)], [regular_chain, [[0, 0], [0, 0], [0, 0], [2, 2], [0, 0]]]], [[6, 2,
3, 5, 4], [v = 0, u = 0, And(-1 < x,x < 1), x+1 < y, z = 1], [regular_chain, [
[0, 0], [0, 0], [0, 0], [2, 2], [1, 1]]]], [[6, 2, 3, 5, 5], [v = 0, u = 0, 
And(-1 < x,x < 1), x+1 < y, 1 < z], [regular_chain, [[0, 0], [0, 0], [0, 0], [
2, 2], [2, 2]]]], [[7, 3, 3, 5, 1], [And(0 < v,v < 1), And(-v < u,u < v), And(
-1 < x,x < -u^2+v^2-1), -u^2+v^2-x-1 < y, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [2, 2], [-2, -2]]]], [[7, 3,
3, 5, 2], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), -u
^2+v^2-x-1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0],
[-7/8, -7/8], [2, 2], [-1816187/2097152, -3632373/4194304]]]], [[7, 3, 3, 5, 3
], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), -u^2+v^2-
x-1 < y, 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], [2, 2], [-1/8388608, -1/8388608]]]], [[7, 3,
3, 5, 4], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), -u
^2+v^2-x-1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [
-7/8, -7/8], [2, 2], [908093/1048576, 454047/524288]]]], [[7, 3, 3, 5, 5], [
And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), -u^2+v^2-x-1
< y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8]
, [2, 2], [2, 2]]]], [[9, 2, 2, 2, 1], [And(1 < v,v < 2^(1/2)), u = -v, x = -1
, y = 0, z < -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [0, 0], [-2, -2]]]], [[9, 2, 2,
2, 2], [And(1 < v,v < 2^(1/2)), u = -v, x = -1, y = 0, z = -1], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [
-1, -1], [0, 0], [-1, -1]]]], [[9, 2, 2, 2, 3], [And(1 < v,v < 2^(1/2)), u = -
v, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [0, 0], [0,
0]]]], [[9, 2, 2, 2, 4], [And(1 < v,v < 2^(1/2)), u = -v, x = -1, y = 0, z = 1
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [0, 0], [1, 1]]]], [[9, 2, 2, 2, 5], [And(1 < v,v
< 2^(1/2)), u = -v, x = -1, y = 0, 1 < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [0, 0], [2,
2]]]], [[9, 5, 7, 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]]]], [[10, 3, 2, 3, 1], [v = 2^(1/2), And(-v < u,u < -1), x = -1, And(u^2
-2 < y,y < -u^2+2), z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [0, 0], [-2,
-2]]]], [[10, 3, 2, 3, 2], [v = 2^(1/2), And(-v < u,u < -1), x = -1, And(u^2-2
< y,y < -u^2+2), z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [0, 0], [-1417877/
2097152, -354469/524288]]]], [[10, 3, 2, 3, 3], [v = 2^(1/2), And(-v < u,u < -\
1), x = -1, And(u^2-2 < y,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], [0, 0], [0, 0]]]], [[10, 3, 2, 3, 4], [v = 2^(1/2)
, And(-v < u,u < -1), x = -1, And(u^2-2 < y,y < -u^2+2), z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-1, -1], [0, 0], [354469/524288, 708939/1048576]]]], [[10, 3, 2, 3,
5], [v = 2^(1/2), And(-v < u,u < -1), x = -1, And(u^2-2 < y,y < -u^2+2), (u^2-\
1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-1, -1], [0, 0], [2, 2]]]], [[10, 6, 5, 5, 1], [v
= 2^(1/2), u = 0, 1 < x, x-1 < y, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [2, 2], [2, 2], [0, 0]]]], [[11, 6, 3, 5, 1], [2^(1/
2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x < 1), -x+1 < y, z = z], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [0, 0], [2, 2],
[0, 0]]]], [[11, 10, 4, 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, 10, 4, 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, 10, 4, 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]]]], [[1, 4, 1, 3, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2),
x < -1, And(x < y,y < -x), z < 0], [regular_chain, [[-3, -3], [-2965821/
1048576, -11863283/4194304], [-2, -2], [0, 0], [-1, -1]]]], [[1, 4, 1, 3, 2],
[v < -2^(1/2), u = -(v^2-1)^(1/2), x < -1, And(x < y,y < -x), z = 0], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-2, -2], [0,
0], [0, 0]]]], [[1, 4, 1, 3, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -1, 
And(x < y,y < -x), 0 < z], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [-2, -2], [0, 0], [1, 1]]]], [[1, 7, 6, 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, 0 < y, z = z], [
regular_chain, [[-3, -3], [0, 0], [8, 8], [1, 1], [0, 0]]]], [[2, 5, 5, 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, 9, 3, 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], [35579/131072, 284633/1048576], [-2, -2]]]
], [[2, 9, 3, 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], [35579/131072, 284633/1048576], [-1417877/2097152, -354469/524288]]]
], [[2, 9, 3, 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], [35579/131072, 284633/1048576], [0, 0]]]],
[[2, 9, 3, 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], [35579/131072, 284633/1048576], [354469/524288, 708939/1048576]]]],
[[2, 9, 3, 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], [35579/131072, 284633/1048576], [2, 2]]]], [[4, 4, 6, 5, 1], [v = -1
, u = 0, x = 1, 1 < y, z < 0], [regular_chain, [[-1, -1], [0, 0], [1, 1], [2,
2], [-1, -1]]]], [[4, 4, 6, 5, 2], [v = -1, u = 0, x = 1, 1 < y, z = 0], [
regular_chain, [[-1, -1], [0, 0], [1, 1], [2, 2], [0, 0]]]], [[4, 4, 6, 5, 3],
[v = -1, u = 0, x = 1, 1 < y, 0 < z], [regular_chain, [[-1, -1], [0, 0], [1, 1
], [2, 2], [1, 1]]]], [[5, 1, 5, 2, 1], [And(-1 < v,v < 0), u < v, And(-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], [-2, -2], [0, 0], [-19/4, -19/4], [-4, -4]]]], [[5, 1, 5, 2, 2], [And(-1 <
v,v < 0), u < v, And(-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], [-2, -2], [0, 0], [-19/4, -19/4], [-2285319/
1048576, -1142659/524288]]]], [[5, 1, 5, 2, 3], [And(-1 < v,v < 0), u < v, And
(-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], [-2, -2], [0, 0], [-19/4, -19/4], [0, 0
]]]], [[5, 1, 5, 2, 4], [And(-1 < v,v < 0), u < v, And(-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], [-2, -2], [0,
0], [-19/4, -19/4], [1142659/524288, 2285319/1048576]]]], [[5, 1, 5, 2, 5], [
And(-1 < v,v < 0), u < v, And(-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], [-2, -2], [0, 0], [-19/4, -19/4], [4,
4]]]], [[7, 5, 1, 1, 1], [And(0 < v,v < 1), v < 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], [2, 2], [-6, -6],
[-3, -3], [-4, -4]]]], [[7, 5, 1, 1, 2], [And(0 < v,v < 1), v < 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], [2
, 2], [-6, -6], [-3, -3], [-2285319/1048576, -1142659/524288]]]], [[7, 5, 1, 1
, 3], [And(0 < v,v < 1), v < 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], [2, 2], [-\
6, -6], [-3, -3], [0, 0]]]], [[7, 5, 1, 1, 4], [And(0 < v,v < 1), v < 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
], [2, 2], [-6, -6], [-3, -3], [1142659/524288, 2285319/1048576]]]], [[7, 5, 1
, 1, 5], [And(0 < v,v < 1), v < 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], [2, 2], [-6, -6], [-3, -3], [4, 4]]
]], [[8, 3, 6, 3, 1], [v = 1, And(-1 < u,u < 0), x = 1, And(-u^2-1 < y,y < u^2
+1), z < u], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [0, 0], [-2, -2]]]
], [[8, 3, 6, 3, 2], [v = 1, And(-1 < u,u < 0), x = 1, And(-u^2-1 < y,y < u^2+
1), z = u], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [0, 0], [-1/2, -1/2
]]]], [[8, 3, 6, 3, 3], [v = 1, And(-1 < u,u < 0), x = 1, And(-u^2-1 < y,y < u
^2+1), And(u < z,z < -u)], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [0,
0], [0, 0]]]], [[8, 3, 6, 3, 4], [v = 1, And(-1 < u,u < 0), x = 1, And(-u^2-1
< y,y < u^2+1), z = -u], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [0, 0]
, [1/2, 1/2]]]], [[8, 3, 6, 3, 5], [v = 1, And(-1 < u,u < 0), x = 1, And(-u^2-\
1 < y,y < u^2+1), -u < z], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [0,
0], [2, 2]]]], [[11, 1, 4, 1, 1], [2^(1/2) < v, u < -v, x = -1, y < -u^2+v^2,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [-1, -1], [-8, -8]
, [-4, -4]]]], [[11, 1, 4, 1, 2], [2^(1/2) < v, u < -v, x = -1, y < -u^2+v^2,
z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [-1, -1], [-8, -8]
, [-2965821/1048576, -11863283/4194304]]]], [[11, 1, 4, 1, 3], [2^(1/2) < v, 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], [-4, -4], [-1, -1], [-8, -8], [-3/8388608, -3/
8388608]]]], [[11, 1, 4, 1, 4], [2^(1/2) < v, u < -v, x = -1, y < -u^2+v^2, z
= (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [-1, -1], [-8, -8], [
741455/262144, 2965821/1048576]]]], [[11, 1, 4, 1, 5], [2^(1/2) < v, u < -v, x
= -1, y < -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-4, -4],
[-1, -1], [-8, -8], [4, 4]]]], [[11, 5, 2, 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]]]], [
[1, 13, 5, 2, 1], [v < -2^(1/2), -v < u, And(-1 < x,x < 1), y = -u^2+v^2-x-1,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [0, 0], [-8, -8],
[-4, -4]]]], [[1, 13, 5, 2, 2], [v < -2^(1/2), -v < u, And(-1 < x,x < 1), y =
-u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [0,
0], [-8, -8], [-2965821/1048576, -11863283/4194304]]]], [[1, 13, 5, 2, 3], [v
< -2^(1/2), -v < u, And(-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], [4, 4], [0, 0], [-8,
-8], [-3/8388608, -3/8388608]]]], [[1, 13, 5, 2, 4], [v < -2^(1/2), -v < u, 
And(-1 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [
[-3, -3], [4, 4], [0, 0], [-8, -8], [741455/262144, 2965821/1048576]]]], [[1,
13, 5, 2, 5], [v < -2^(1/2), -v < u, And(-1 < x,x < 1), y = -u^2+v^2-x-1, (u^2
-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [4, 4], [0, 0], [-8, -8], [4, 4
]]]], [[2, 4, 3, 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, 4, 3, 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, 4, 3, 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]]]], [[3
, 4, 2, 1, 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], [-2, -2], [-1, -1]]]], [[3, 4, 2, 1, 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], [-2, -2], [0, 0]]]], [[3, 4, 2, 1, 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], [-2, -2], [1, 1]]]], [[3, 7, 5, 3, 1], [And(-2^(1/2) < v,v < -1), And((v^2
-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2
-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [598205/2097152, 598205/
2097152], [-1/4194304, -1/4194304], [-2, -2]]]], [[3, 7, 5, 3, 2], [And(-2^(1/
2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 1), And(
-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [598205
/2097152, 598205/2097152], [-1/4194304, -1/4194304], [-1374407/2097152, -\
687203/1048576]]]], [[3, 7, 5, 3, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(
1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^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], [598205/
2097152, 598205/2097152], [-1/4194304, -1/4194304], [0, 0]]]], [[3, 7, 5, 3, 4
], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 <
x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [598205/2097152, 598205/2097152], [-1/4194304, -1/4194304], [687203/
1048576, 171801/262144]]]], [[3, 7, 5, 3, 5], [And(-2^(1/2) < v,v < -1), And((
v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y <
u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [598205/2097152, 598205/
2097152], [-1/4194304, -1/4194304], [2, 2]]]], [[6, 2, 3, 4, 1], [v = 0, u = 0
, And(-1 < x,x < 1), y = x+1, z < -1], [regular_chain, [[0, 0], [0, 0], [0, 0]
, [1, 1], [-2, -2]]]], [[6, 2, 3, 4, 2], [v = 0, u = 0, And(-1 < x,x < 1), y =
x+1, z = -1], [regular_chain, [[0, 0], [0, 0], [0, 0], [1, 1], [-1, -1]]]], [[
6, 2, 3, 4, 3], [v = 0, u = 0, And(-1 < x,x < 1), y = x+1, And(-1 < z,z < 1)],
[regular_chain, [[0, 0], [0, 0], [0, 0], [1, 1], [0, 0]]]], [[6, 2, 3, 4, 4],
[v = 0, u = 0, And(-1 < x,x < 1), y = x+1, z = 1], [regular_chain, [[0, 0], [0
, 0], [0, 0], [1, 1], [1, 1]]]], [[6, 2, 3, 4, 5], [v = 0, u = 0, And(-1 < x,x
< 1), y = x+1, 1 < z], [regular_chain, [[0, 0], [0, 0], [0, 0], [1, 1], [2, 2]
]]], [[7, 3, 3, 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, 3, 3, 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, 3, 3, 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, 3, 3, 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, 3, 3, 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]]]], [[9, 2, 2, 3, 1], [And(1 < v,v < 2^(1/2)), u = -v, x = -1, 0 <
y, z < -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/
1048576, -1265743/1048576], [-1, -1], [1, 1], [-2, -2]]]], [[9, 2, 2, 3, 2], [
And(1 < v,v < 2^(1/2)), u = -v, x = -1, 0 < y, z = -1], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1,
-1], [1, 1], [-1, -1]]]], [[9, 2, 2, 3, 3], [And(1 < v,v < 2^(1/2)), u = -v, x
= -1, 0 < y, And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [1, 1], [0, 0]]]], [
[9, 2, 2, 3, 4], [And(1 < v,v < 2^(1/2)), u = -v, x = -1, 0 < y, z = 1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [1, 1], [1, 1]]]], [[9, 2, 2, 3, 5], [And(1 < v,v
< 2^(1/2)), u = -v, x = -1, 0 < y, 1 < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [1, 1], [2,
2]]]], [[9, 5, 7, 5, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (
v^2-1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [2, 2], [3, 3], [0, 0]]]], [[10, 3, 2, 2, 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, 3,
2, 2, 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, 3, 2, 2, 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, 3, 2
, 2, 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, 3, 2, 2, 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, 6, 5, 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]]]], [[11, 6, 4, 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, 10, 4, 3, 1], [2^(1/2) <
v, u = (v^2-1)^(1/2), x = 0, 0 < y, z < 0], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [0, 0], [1, 1], [-1, -1]]]], [[11, 10, 4, 3, 2], [2^
(1/2) < v, u = (v^2-1)^(1/2), x = 0, 0 < y, z = 0], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [0, 0], [1, 1], [0, 0]]]], [[11, 10, 4, 3, 3]
, [2^(1/2) < v, u = (v^2-1)^(1/2), x = 0, 0 < y, 0 < z], [regular_chain, [[3,
3], [741455/262144, 2965821/1048576], [0, 0], [1, 1], [1, 1]]]], [[1, 13, 4, 5
, 1], [v < -2^(1/2), -v < u, x = -1, u^2-v^2 < y, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [4, 4], [-1, -1], [8, 8], [-4, -4]]]], [[1, 13, 4, 5
, 2], [v < -2^(1/2), -v < u, x = -1, u^2-v^2 < y, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [4, 4], [-1, -1], [8, 8], [-2965821/1048576, -\
11863283/4194304]]]], [[1, 13, 4, 5, 3], [v < -2^(1/2), -v < u, x = -1, u^2-v^
2 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-\
3, -3], [4, 4], [-1, -1], [8, 8], [-3/8388608, -3/8388608]]]], [[1, 13, 4, 5,
4], [v < -2^(1/2), -v < u, x = -1, u^2-v^2 < y, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [4, 4], [-1, -1], [8, 8], [741455/262144, 2965821/
1048576]]]], [[1, 13, 4, 5, 5], [v < -2^(1/2), -v < u, x = -1, u^2-v^2 < y, (u
^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [4, 4], [-1, -1], [8, 8], [4,
4]]]], [[2, 4, 2, 1, 1], [v = -2^(1/2), u = -1, x = -1, y < -1, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [-2, -\
2], [-1, -1]]]], [[2, 4, 2, 1, 2], [v = -2^(1/2), u = -1, x = -1, y < -1, z =
0], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [
-2, -2], [0, 0]]]], [[2, 4, 2, 1, 3], [v = -2^(1/2), u = -1, x = -1, y < -1, 0
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1, -1],
[-2, -2], [1, 1]]]], [[3, 4, 5, 2, 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, 4, 5, 2, 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, 4, 5, 2, 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
]]]], [[3, 7, 7, 3, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -
v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [0, 0], [-2, -2]]]], [[3, 7, 7, 3, 2], [And(-2^(1/2) < v,v <
-1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+
1), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [2, 2], [0, 0], [-1374407/2097152,
-687203/1048576]]]], [[3, 7, 7, 3, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^
(1/2) < u,u < -v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), And(-(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], [0, 0], [0, 0]]]],
[[3, 7, 7, 3, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1
< x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [0, 0], [687203/1048576, 171801/262144]]]], [[3, 7, 7, 3, 5]
, [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, And(-u^2+v^
2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [0, 0],
[2, 2]]]], [[6, 2, 3, 2, 1], [v = 0, u = 0, And(-1 < x,x < 1), y = -1-x, z < -\
1], [regular_chain, [[0, 0], [0, 0], [0, 0], [-1, -1], [-2, -2]]]], [[6, 2, 3,
2, 2], [v = 0, u = 0, And(-1 < x,x < 1), y = -1-x, z = -1], [regular_chain, [[
0, 0], [0, 0], [0, 0], [-1, -1], [-1, -1]]]], [[6, 2, 3, 2, 3], [v = 0, u = 0,
And(-1 < x,x < 1), y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[0, 0], [0,
0], [0, 0], [-1, -1], [0, 0]]]], [[6, 2, 3, 2, 4], [v = 0, u = 0, And(-1 < x,x
< 1), y = -1-x, z = 1], [regular_chain, [[0, 0], [0, 0], [0, 0], [-1, -1], [1,
1]]]], [[6, 2, 3, 2, 5], [v = 0, u = 0, And(-1 < x,x < 1), y = -1-x, 1 < z], [
regular_chain, [[0, 0], [0, 0], [0, 0], [-1, -1], [2, 2]]]], [[7, 3, 2, 3, 1],
[And(0 < v,v < 1), And(-v < u,u < v), x = -1, And(u^2-v^2 < y,y < -u^2+v^2), z
< -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [0, 0],
[-2, -2]]]], [[7, 3, 2, 3, 2], [And(0 < v,v < 1), And(-v < u,u < v), x = -1, 
And(u^2-v^2 < y,y < -u^2+v^2), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2,
1/2], [0, 0], [-1, -1], [0, 0], [-1816187/2097152, -3632373/4194304]]]], [[7,
3, 2, 3, 3], [And(0 < v,v < 1), And(-v < u,u < v), x = -1, And(u^2-v^2 < y,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], [0, 0], [-1/8388608, -1/8388608]]]], [[7, 3, 2,
3, 4], [And(0 < v,v < 1), And(-v < u,u < v), x = -1, And(u^2-v^2 < y,y < -u^2+
v^2), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [
0, 0], [908093/1048576, 454047/524288]]]], [[7, 3, 2, 3, 5], [And(0 < v,v < 1)
, And(-v < u,u < v), x = -1, And(u^2-v^2 < y,y < -u^2+v^2), (u^2-v^2+1)^(1/2)
< z], [regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [0, 0], [2, 2]]]], [[9, 2
, 5, 4, 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, 2, 5, 4, 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, 2, 5, 4, 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, 2, 5, 4, 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, 2, 5, 4, 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, 6, 2, 5, 1
], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -1, 1 < y, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-1, -1], [2, 2], [-1, -1]]]], [[9, 6, 2, 5, 2], [And(1 < v,v < 2^(1
/2)), u = (v^2-1)^(1/2), x = -1, 1 < y, z = 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-1, -1], [2, 2],
[0, 0]]]], [[9, 6, 2, 5, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -\
1, 1 < y, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469
/524288, 708939/1048576], [-1, -1], [2, 2], [1, 1]]]], [[10, 2, 5, 2, 1], [v =
2^(1/2), u = -v, 1 < x, y = -1-x, z < -1], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [2, 2], [-3, -3], [-2, -\
2]]]], [[10, 2, 5, 2, 2], [v = 2^(1/2), u = -v, 1 < x, y = -1-x, z = -1], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [2, 2], [-3, -3], [-1, -1]]]], [[10, 2, 5, 2, 3], [v = 2^(1/2), u = -
v, 1 < x, y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [2, 2], [-3, -3], [0, 0]
]]], [[10, 2, 5, 2, 4], [v = 2^(1/2), u = -v, 1 < x, y = -1-x, z = 1], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [2, 2], [-3, -3], [1, 1]]]], [[10, 2, 5, 2, 5], [v = 2^(1/2), u = -v,
1 < x, y = -1-x, 1 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [2, 2], [-3, -3], [2, 2]]]], [[10, 6, 2, 3,
1], [v = 2^(1/2), u = 0, x = -1, And(-2 < y,y < 2), z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [-1, -1], [0, 0], [0, 0]]]], [[11, 6,
5, 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, 10, 5, 2, 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, 10, 5, 2, 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, 10
, 5, 2, 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]]]], [[1, 3, 6, 3, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2
)), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1, 1], [0, 0]
, [-2, -2]]]], [[1, 3, 6, 3, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)),
x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1, 1], [0, 0]
, [-735979/1048576, -1471957/2097152]]]], [[1, 3, 6, 3, 3], [v < -2^(1/2), And
(v < u,u < -(v^2-1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), And(-(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], [0, 0], [-1/4194304, -1/4194304]]]
], [[1, 3, 6, 3, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 1, And(
-u^2+v^2-2 < y,y < u^2-v^2+2), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -\
3], [-6111549/2097152, -6111549/2097152], [1, 1], [0, 0], [367989/524288, 
735979/1048576]]]], [[1, 3, 6, 3, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1
/2)), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1, 1], [0, 0]
, [2, 2]]]], [[1, 7, 3, 4, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-\
2)^(1/2)), And(-1 < x,x < 1), y = -u^2+v^2-x-1, z = z], [regular_chain, [[-3,
-3], [0, 0], [0, 0], [8, 8], [0, 0]]]], [[2, 5, 6, 5, 1], [v = -2^(1/2), And(-\
1 < u,u < 0), x = 1, u^2 < y, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [1, 1], [2, 2], [0, 0]]]], [[2, 9, 4, 1, 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], [-1, -1], [-2, -2]]]], [[2, 9, 4,
1, 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], [-1, -1], [-1417877/
2097152, -354469/524288]]]], [[2, 9, 4, 1, 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], [-1, -1], [0, 0]]]], [[2, 9, 4, 1
, 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], [-1, -1], [354469/524288, 708939
/1048576]]]], [[2, 9, 4, 1, 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], [-1,
-1], [2, 2]]]], [[4, 4, 4, 3, 1], [v = -1, u = 0, x = 0, 0 < y, z < 0], [
regular_chain, [[-1, -1], [0, 0], [0, 0], [1, 1], [-1, -1]]]], [[4, 4, 4, 3, 2
], [v = -1, u = 0, x = 0, 0 < y, z = 0], [regular_chain, [[-1, -1], [0, 0], [0
, 0], [1, 1], [0, 0]]]], [[4, 4, 4, 3, 3], [v = -1, u = 0, x = 0, 0 < y, 0 < z
], [regular_chain, [[-1, -1], [0, 0], [0, 0], [1, 1], [1, 1]]]], [[5, 1, 2, 1,
1], [And(-1 < v,v < 0), u < v, x = -u^2+v^2-1, y < 0, z < -(u^2-v^2+1)^(1/2)],
[regular_chain, [[-1/2, -1/2], [-2, -2], [-19/4, -19/4], [-1, -1], [-4, -4]]]]
, [[5, 1, 2, 1, 2], [And(-1 < v,v < 0), u < v, x = -u^2+v^2-1, y < 0, z = -(u^
2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [-19/4, -19/4], [-1,
-1], [-2285319/1048576, -1142659/524288]]]], [[5, 1, 2, 1, 3], [And(-1 < v,v <
0), 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], [-2, -2], [-19/4, -19/4], [-1, -1], [0,
0]]]], [[5, 1, 2, 1, 4], [And(-1 < v,v < 0), u < v, x = -u^2+v^2-1, y < 0, z =
(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [-19/4, -19/4], [
-1, -1], [1142659/524288, 2285319/1048576]]]], [[5, 1, 2, 1, 5], [And(-1 < v,v
< 0), u < v, x = -u^2+v^2-1, y < 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
-1/2, -1/2], [-2, -2], [-19/4, -19/4], [-1, -1], [4, 4]]]], [[7, 5, 2, 2, 1],
[And(0 < v,v < 1), v < u, x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [2, 2], [-19/4, -19/4], [0, 0], [-4, -4]]]], [[7,
5, 2, 2, 2], [And(0 < v,v < 1), v < u, x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)
^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [-19/4, -19/4], [0, 0], [-\
2285319/1048576, -1142659/524288]]]], [[7, 5, 2, 2, 3], [And(0 < v,v < 1), v <
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], [2, 2], [-19/4, -19/4], [0, 0], [0, 0]]]], [[7, 5
, 2, 2, 4], [And(0 < v,v < 1), v < u, x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(
1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [-19/4, -19/4], [0, 0], [1142659/
524288, 2285319/1048576]]]], [[7, 5, 2, 2, 5], [And(0 < v,v < 1), v < u, x = -
u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [2, 2],
[-19/4, -19/4], [0, 0], [4, 4]]]], [[8, 3, 6, 5, 1], [v = 1, And(-1 < u,u < 0)
, x = 1, u^2+1 < y, z < u], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [3,
3], [-2, -2]]]], [[8, 3, 6, 5, 2], [v = 1, And(-1 < u,u < 0), x = 1, u^2+1 < y
, z = u], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [3, 3], [-1/2, -1/2]]
]], [[8, 3, 6, 5, 3], [v = 1, And(-1 < u,u < 0), x = 1, u^2+1 < y, And(u < z,z
< -u)], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [3, 3], [0, 0]]]], [[8,
3, 6, 5, 4], [v = 1, And(-1 < u,u < 0), x = 1, u^2+1 < y, z = -u], [
regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [3, 3], [1/2, 1/2]]]], [[8, 3, 6
, 5, 5], [v = 1, And(-1 < u,u < 0), x = 1, u^2+1 < y, -u < z], [regular_chain,
[[1, 1], [-1/2, -1/2], [1, 1], [3, 3], [2, 2]]]], [[11, 1, 3, 4, 1], [2^(1/2)
< v, 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], [-4, -4], [-9/2, -9/2], [7/2, 7/2], [-4, -4]]]],
[[11, 1, 3, 4, 2], [2^(1/2) < v, 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], [-4, -4], [-9/2, -9/
2], [7/2, 7/2], [-2965821/1048576, -11863283/4194304]]]], [[11, 1, 3, 4, 3], [
2^(1/2) < v, 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], [-4, -4], [-9
/2, -9/2], [7/2, 7/2], [-3/8388608, -3/8388608]]]], [[11, 1, 3, 4, 4], [2^(1/2
) < v, 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], [-4, -4], [-9/2, -9/2], [7/2, 7/2], [741455/
262144, 2965821/1048576]]]], [[11, 1, 3, 4, 5], [2^(1/2) < v, 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], [-4, -4], [-9/2, -9/2], [7/2, 7/2], [4, 4]]]], [[11, 4, 7, 5, 1], [2^(
1/2) < v, u = -(v^2-1)^(1/2), 1 < x, x < y, z < 0], [regular_chain, [[3, 3], [
-2965821/1048576, -11863283/4194304], [2, 2], [3, 3], [-1, -1]]]], [[11, 4, 7,
5, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), 1 < x, x < y, z = 0], [regular_chain,
[[3, 3], [-2965821/1048576, -11863283/4194304], [2, 2], [3, 3], [0, 0]]]], [[
11, 4, 7, 5, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), 1 < x, x < y, 0 < z], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [2, 2], [3, 3],
[1, 1]]]], [[1, 13, 5, 1, 1], [v < -2^(1/2), -v < u, And(-1 < x,x < 1), y < -u
^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [0, 0]
, [-9, -9], [-4, -4]]]], [[1, 13, 5, 1, 2], [v < -2^(1/2), -v < u, And(-1 < x,
x < 1), y < -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3],
[4, 4], [0, 0], [-9, -9], [-2965821/1048576, -11863283/4194304]]]], [[1, 13, 5
, 1, 3], [v < -2^(1/2), -v < u, And(-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], [4, 4],
[0, 0], [-9, -9], [-3/8388608, -3/8388608]]]], [[1, 13, 5, 1, 4], [v < -2^(1/2
), -v < u, And(-1 < x,x < 1), y < -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [4, 4], [0, 0], [-9, -9], [741455/262144, 2965821/
1048576]]]], [[1, 13, 5, 1, 5], [v < -2^(1/2), -v < u, And(-1 < x,x < 1), y <
-u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [4, 4], [0, 0
], [-9, -9], [4, 4]]]], [[2, 4, 2, 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, 4, 2, 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, 4, 2, 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]]]], [[3, 4, 5, 1, 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], [
-2, -2], [-1, -1]]]], [[3, 4, 5, 1, 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], [-2, -2], [
0, 0]]]], [[3, 4, 5, 1, 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], [-2, -2], [1, 1]]]],
[[3, 7, 7, 2, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1
< x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [-636881
/262144, -2547523/1048576], [-2, -2]]]], [[3, 7, 7, 2, 2], [And(-2^(1/2) < v,v
< -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [2, 2], [-636881/262144, -2547523/1048576], [-\
1374407/2097152, -687203/1048576]]]], [[3, 7, 7, 2, 3], [And(-2^(1/2) < v,v <
-1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^
(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [-636881/262144, -\
2547523/1048576], [0, 0]]]], [[3, 7, 7, 2, 4], [And(-2^(1/2) < v,v < -1), And(
(v^2-1)^(1/2) < u,u < -v), 1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [-636881/262144, -2547523/1048576], [687203/1048576, 171801/
262144]]]], [[3, 7, 7, 2, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u
,u < -v), 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [2, 2],
[-636881/262144, -2547523/1048576], [2, 2]]]], [[6, 2, 3, 3, 1], [v = 0, u = 0
, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z < -1], [regular_chain, [[0, 0],
[0, 0], [0, 0], [0, 0], [-2, -2]]]], [[6, 2, 3, 3, 2], [v = 0, u = 0, And(-1 <
x,x < 1), And(-1-x < y,y < x+1), z = -1], [regular_chain, [[0, 0], [0, 0], [0,
0], [0, 0], [-1, -1]]]], [[6, 2, 3, 3, 3], [v = 0, u = 0, And(-1 < x,x < 1), 
And(-1-x < y,y < x+1), And(-1 < z,z < 1)], [regular_chain, [[0, 0], [0, 0], [0
, 0], [0, 0], [0, 0]]]], [[6, 2, 3, 3, 4], [v = 0, u = 0, And(-1 < x,x < 1), 
And(-1-x < y,y < x+1), z = 1], [regular_chain, [[0, 0], [0, 0], [0, 0], [0, 0]
, [1, 1]]]], [[6, 2, 3, 3, 5], [v = 0, u = 0, And(-1 < x,x < 1), And(-1-x < y,
y < x+1), 1 < z], [regular_chain, [[0, 0], [0, 0], [0, 0], [0, 0], [2, 2]]]],
[[7, 3, 2, 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, 3, 2, 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, 3, 2, 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, 3, 2, 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, 3, 2, 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]]]], [[9, 2, 5, 3, 1], [And(1 < v,v < 2^(1/2)), u
= -v, 1 < x, And(-1-x < y,y < x+1), z < -1], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [0, 0], [-2,
-2]]]], [[9, 2, 5, 3, 2], [And(1 < v,v < 2^(1/2)), u = -v, 1 < x, And(-1-x < y
,y < x+1), z = -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [2, 2], [0, 0], [-1, -1]]]], [[9, 2, 5, 3,
3], [And(1 < v,v < 2^(1/2)), u = -v, 1 < x, And(-1-x < y,y < x+1), And(-1 < z,
z < 1)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/
1048576, -1265743/1048576], [2, 2], [0, 0], [0, 0]]]], [[9, 2, 5, 3, 4], [And(
1 < v,v < 2^(1/2)), u = -v, 1 < x, And(-1-x < y,y < x+1), z = 1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [0, 0], [1, 1]]]], [[9, 2, 5, 3, 5], [And(1 < v,v <
2^(1/2)), u = -v, 1 < x, And(-1-x < y,y < x+1), 1 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2
], [0, 0], [2, 2]]]], [[9, 6, 2, 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,
6, 2, 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, 6, 2, 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]]]], [[10, 2, 5, 3, 1], [v = 2^(1/2), u = -v, 1 < x, And(-1-x < y,y < x+
1), z < -1], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/
1048576, -741455/524288], [2, 2], [0, 0], [-2, -2]]]], [[10, 2, 5, 3, 2], [v =
2^(1/2), u = -v, 1 < x, And(-1-x < y,y < x+1), z = -1], [regular_chain, [[
741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [2, 2], [
0, 0], [-1, -1]]]], [[10, 2, 5, 3, 3], [v = 2^(1/2), u = -v, 1 < x, And(-1-x <
y,y < x+1), And(-1 < z,z < 1)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [2, 2], [0, 0], [0, 0]]]], [[10,
2, 5, 3, 4], [v = 2^(1/2), u = -v, 1 < x, And(-1-x < y,y < x+1), z = 1], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [2, 2], [0, 0], [1, 1]]]], [[10, 2, 5, 3, 5], [v = 2^(1/2), u = -v, 1
< x, And(-1-x < y,y < x+1), 1 < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [2, 2], [0, 0], [2, 2]]]], [[10,
6, 2, 4, 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]]]], [[11, 6,
5, 3, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), 1 < x, And(-x+1 < y,y < x-1), z =
z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [2, 2], [0,
0], [0, 0]]]], [[11, 10, 5, 1, 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], [-2, -2], [-1, -1]]]], [[11, 10, 5, 1, 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], [-2, -2], [0, 0]]]], [[11, 10, 5
, 1, 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], [-2, -2]
, [1, 1]]]], [[1, 3, 6, 4, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x
= 1, y = u^2-v^2+2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [1, 1], [1565147/1048576, 391287/262144],
[-2, -2]]]], [[1, 3, 6, 4, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x
= 1, y = u^2-v^2+2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [1, 1], [1565147/1048576, 391287/262144],
[-735979/1048576, -1471957/2097152]]]], [[1, 3, 6, 4, 3], [v < -2^(1/2), And(v
< u,u < -(v^2-1)^(1/2)), x = 1, y = u^2-v^2+2, And(-(u^2-v^2+1)^(1/2) < z,z <
(u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [1, 1], [1565147/1048576, 391287/262144], [-1/4194304, -1/4194304]]]
], [[1, 3, 6, 4, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y =
u^2-v^2+2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [1, 1], [1565147/1048576, 391287/262144], [367989/
524288, 735979/1048576]]]], [[1, 3, 6, 4, 5], [v < -2^(1/2), And(v < u,u < -(v
^2-1)^(1/2)), x = 1, y = u^2-v^2+2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
-3, -3], [-6111549/2097152, -6111549/2097152], [1, 1], [1565147/1048576, 
391287/262144], [2, 2]]]], [[1, 7, 3, 5, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2)
< u,u < (v^2-2)^(1/2)), And(-1 < x,x < 1), -u^2+v^2-x-1 < y, z = z], [
regular_chain, [[-3, -3], [0, 0], [0, 0], [9, 9], [0, 0]]]], [[2, 5, 6, 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, 9, 3, 5, 1], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), -u
^2-x+1 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/
2097152], [2, 2], [-2, -2]]]], [[2, 9, 3, 5, 2], [v = -2^(1/2), And(1 < u,u <
-v), And(-1 < x,x < -u^2+1), -u^2-x+1 < y, z = -(u^2-1)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-\
1527887/2097152, -1527887/2097152], [2, 2], [-1417877/2097152, -354469/524288]
]]], [[2, 9, 3, 5, 3], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1
), -u^2-x+1 < y, 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], [2, 2], [0, 0]]]], [[2, 9, 3, 5, 4], [v =
-2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), -u^2-x+1 < y, z = (u^2-1)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576
, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [2, 2], [354469/
524288, 708939/1048576]]]], [[2, 9, 3, 5, 5], [v = -2^(1/2), And(1 < u,u < -v)
, And(-1 < x,x < -u^2+1), -u^2-x+1 < y, (u^2-1)^(1/2) < z], [regular_chain, [[
-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-\
1527887/2097152, -1527887/2097152], [2, 2], [2, 2]]]], [[4, 4, 5, 1, 1], [v =
-1, u = 0, And(0 < x,x < 1), y < -x, z < 0], [regular_chain, [[-1, -1], [0, 0]
, [1/2, 1/2], [-2, -2], [-1, -1]]]], [[4, 4, 5, 1, 2], [v = -1, u = 0, And(0 <
x,x < 1), y < -x, z = 0], [regular_chain, [[-1, -1], [0, 0], [1/2, 1/2], [-2,
-2], [0, 0]]]], [[4, 4, 5, 1, 3], [v = -1, u = 0, And(0 < x,x < 1), y < -x, 0
< z], [regular_chain, [[-1, -1], [0, 0], [1/2, 1/2], [-2, -2], [1, 1]]]], [[5,
1, 2, 2, 1], [And(-1 < v,v < 0), u < v, x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+1
)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [-19/4, -19/4], [0, 0], [-4
, -4]]]], [[5, 1, 2, 2, 2], [And(-1 < v,v < 0), u < v, x = -u^2+v^2-1, y = 0,
z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [-19/4, -19/
4], [0, 0], [-2285319/1048576, -1142659/524288]]]], [[5, 1, 2, 2, 3], [And(-1
< v,v < 0), 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], [-2, -2], [-19/4, -19/4], [0, 0
], [0, 0]]]], [[5, 1, 2, 2, 4], [And(-1 < v,v < 0), u < v, x = -u^2+v^2-1, y =
0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [-19/4, -\
19/4], [0, 0], [1142659/524288, 2285319/1048576]]]], [[5, 1, 2, 2, 5], [And(-1
< v,v < 0), u < v, x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-2, -2], [-19/4, -19/4], [0, 0], [4, 4]]]], [[7
, 5, 2, 1, 1], [And(0 < v,v < 1), v < u, x = -u^2+v^2-1, y < 0, z < -(u^2-v^2+
1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [-19/4, -19/4], [-1, -1], [-4,
-4]]]], [[7, 5, 2, 1, 2], [And(0 < v,v < 1), v < u, x = -u^2+v^2-1, y < 0, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [-19/4, -19/4], [-1,
-1], [-2285319/1048576, -1142659/524288]]]], [[7, 5, 2, 1, 3], [And(0 < v,v <
1), v < 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], [2, 2], [-19/4, -19/4], [-1, -1], [0, 0]]
]], [[7, 5, 2, 1, 4], [And(0 < v,v < 1), v < u, x = -u^2+v^2-1, y < 0, z = (u^
2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [-19/4, -19/4], [-1, -1]
, [1142659/524288, 2285319/1048576]]]], [[7, 5, 2, 1, 5], [And(0 < v,v < 1), v
< u, x = -u^2+v^2-1, y < 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2
], [2, 2], [-19/4, -19/4], [-1, -1], [4, 4]]]], [[8, 3, 6, 4, 1], [v = 1, And(
-1 < u,u < 0), x = 1, y = u^2+1, z < u], [regular_chain, [[1, 1], [-1/2, -1/2]
, [1, 1], [5/4, 5/4], [-2, -2]]]], [[8, 3, 6, 4, 2], [v = 1, And(-1 < u,u < 0)
, x = 1, y = u^2+1, z = u], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [5/
4, 5/4], [-1/2, -1/2]]]], [[8, 3, 6, 4, 3], [v = 1, And(-1 < u,u < 0), x = 1,
y = u^2+1, And(u < z,z < -u)], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1],
[5/4, 5/4], [0, 0]]]], [[8, 3, 6, 4, 4], [v = 1, And(-1 < u,u < 0), x = 1, y =
u^2+1, z = -u], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [5/4, 5/4], [1/
2, 1/2]]]], [[8, 3, 6, 4, 5], [v = 1, And(-1 < u,u < 0), x = 1, y = u^2+1, -u
< z], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [5/4, 5/4], [2, 2]]]], [[
11, 1, 3, 5, 1], [2^(1/2) < v, u < -v, And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1
< y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [-9/2, -9/2],
[5, 5], [-4, -4]]]], [[11, 1, 3, 5, 2], [2^(1/2) < v, u < -v, And(-u^2+v^2-1 <
x,x < -1), u^2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3],
[-4, -4], [-9/2, -9/2], [5, 5], [-2965821/1048576, -11863283/4194304]]]], [[11
, 1, 3, 5, 3], [2^(1/2) < v, u < -v, And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 <
y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3]
, [-4, -4], [-9/2, -9/2], [5, 5], [-3/8388608, -3/8388608]]]], [[11, 1, 3, 5,
4], [2^(1/2) < v, u < -v, And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, z = (u^
2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [-9/2, -9/2], [5, 5], [
741455/262144, 2965821/1048576]]]], [[11, 1, 3, 5, 5], [2^(1/2) < v, u < -v, 
And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-4, -4], [-9/2, -9/2], [5, 5], [4, 4]]]], [[11, 5, 1,
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+x+1, z = z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [-2, -2], [-4, -4], [0, 0]]]], [[1, 13, 4, 3, 1], [v < -2^(1/2), -v
< u, x = -1, And(-u^2+v^2 < y,y < u^2-v^2), z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [4, 4], [-1, -1], [0, 0], [-4, -4]]]], [[1, 13, 4, 3
, 2], [v < -2^(1/2), -v < u, x = -1, And(-u^2+v^2 < y,y < u^2-v^2), z = -(u^2-
v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [-1, -1], [0, 0], [-2965821/
1048576, -11863283/4194304]]]], [[1, 13, 4, 3, 3], [v < -2^(1/2), -v < u, x =
-1, And(-u^2+v^2 < y,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], [4, 4], [-1, -1], [0, 0], [-3/8388608, -3/
8388608]]]], [[1, 13, 4, 3, 4], [v < -2^(1/2), -v < u, x = -1, And(-u^2+v^2 <
y,y < u^2-v^2), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [-1
, -1], [0, 0], [741455/262144, 2965821/1048576]]]], [[1, 13, 4, 3, 5], [v < -2
^(1/2), -v < u, x = -1, And(-u^2+v^2 < y,y < u^2-v^2), (u^2-v^2+1)^(1/2) < z],
[regular_chain, [[-3, -3], [4, 4], [-1, -1], [0, 0], [4, 4]]]], [[2, 4, 2, 3,
1], [v = -2^(1/2), u = -1, x = -1, And(-1 < y,y < 1), z < 0], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [0, 0], [-1, -1]]]],
[[2, 4, 2, 3, 2], [v = -2^(1/2), u = -1, x = -1, And(-1 < y,y < 1), z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [0, 0]
, [0, 0]]]], [[2, 4, 2, 3, 3], [v = -2^(1/2), u = -1, x = -1, And(-1 < y,y < 1
), 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1,
-1], [0, 0], [1, 1]]]], [[3, 4, 4, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2
-1)^(1/2), x = 0, 0 < y, z < 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [0, 0], [1, 1], [-1, -1]]]], [[3
, 4, 4, 3, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 0, 0 < y, z
= 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152
, -354469/524288], [0, 0], [1, 1], [0, 0]]]], [[3, 4, 4, 3, 3], [And(-2^(1/2)
< v,v < -1), u = -(v^2-1)^(1/2), x = 0, 0 < y, 0 < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [0, 0]
, [1, 1], [1, 1]]]], [[3, 7, 7, 5, 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 < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [4, 4], [-2, -2]]]], [[3, 7, 7, 5, 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 = -(u^2-v^2+1)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576,
987341/1048576], [2, 2], [4, 4], [-1374407/2097152, -687203/1048576]]]], [[3,
7, 7, 5, 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(-(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], [4, 4], [0, 0]]]], [[3, 7, 7, 5, 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 = (u^2-v^2+1)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [2, 2], [4, 4], [687203/1048576, 171801/262144]]]], [[3, 7, 7
, 5, 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, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [4, 4], [2, 2]]]],
[[6, 2, 2, 3, 1], [v = 0, u = 0, x = -1, 0 < y, z < -1], [regular_chain, [[0,
0], [0, 0], [-1, -1], [1, 1], [-2, -2]]]], [[6, 2, 2, 3, 2], [v = 0, u = 0, x
= -1, 0 < y, z = -1], [regular_chain, [[0, 0], [0, 0], [-1, -1], [1, 1], [-1,
-1]]]], [[6, 2, 2, 3, 3], [v = 0, u = 0, x = -1, 0 < y, And(-1 < z,z < 1)], [
regular_chain, [[0, 0], [0, 0], [-1, -1], [1, 1], [0, 0]]]], [[6, 2, 2, 3, 4],
[v = 0, u = 0, x = -1, 0 < y, z = 1], [regular_chain, [[0, 0], [0, 0], [-1, -1
], [1, 1], [1, 1]]]], [[6, 2, 2, 3, 5], [v = 0, u = 0, x = -1, 0 < y, 1 < z],
[regular_chain, [[0, 0], [0, 0], [-1, -1], [1, 1], [2, 2]]]], [[7, 3, 2, 5, 1]
, [And(0 < v,v < 1), And(-v < u,u < v), x = -1, -u^2+v^2 < y, z < -(u^2-v^2+1)
^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [2, 2], [-2, -2]]]], [
[7, 3, 2, 5, 2], [And(0 < v,v < 1), And(-v < u,u < v), x = -1, -u^2+v^2 < y, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [2, 2],
[-1816187/2097152, -3632373/4194304]]]], [[7, 3, 2, 5, 3], [And(0 < v,v < 1),
And(-v < u,u < v), x = -1, -u^2+v^2 < y, 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], [2, 2], [-1/
8388608, -1/8388608]]]], [[7, 3, 2, 5, 4], [And(0 < v,v < 1), And(-v < u,u < v
), x = -1, -u^2+v^2 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2],
[0, 0], [-1, -1], [2, 2], [908093/1048576, 454047/524288]]]], [[7, 3, 2, 5, 5]
, [And(0 < v,v < 1), And(-v < u,u < v), x = -1, -u^2+v^2 < y, (u^2-v^2+1)^(1/2
) < z], [regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [2, 2], [2, 2]]]], [[9,
2, 5, 2, 1], [And(1 < v,v < 2^(1/2)), u = -v, 1 < x, y = -1-x, z < -1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-3, -3], [-2, -2]]]], [[9, 2, 5, 2, 2], [And(1 < v,
v < 2^(1/2)), u = -v, 1 < x, y = -1-x, z = -1], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [-3,
-3], [-1, -1]]]], [[9, 2, 5, 2, 3], [And(1 < v,v < 2^(1/2)), u = -v, 1 < x, y
= -1-x, And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-1265743/1048576, -1265743/1048576], [2, 2], [-3, -3], [0, 0]]]], [[9, 2,
5, 2, 4], [And(1 < v,v < 2^(1/2)), u = -v, 1 < x, y = -1-x, z = 1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-3, -3], [1, 1]]]], [[9, 2, 5, 2, 5], [And(1 < v,v
< 2^(1/2)), u = -v, 1 < x, y = -1-x, 1 < z], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [-3, -3], [2
, 2]]]], [[9, 6, 3, 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, 6, 3, 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, 6, 3, 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]]]], [[10, 2, 4, 5, 1], [v
= 2^(1/2), u = -v, x = 1, 2 < y, z < -1], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [1, 1], [3, 3], [-2, -2]
]]], [[10, 2, 4, 5, 2], [v = 2^(1/2), u = -v, x = 1, 2 < y, z = -1], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [1, 1], [3, 3], [-1, -1]]]], [[10, 2, 4, 5, 3], [v = 2^(1/2), u = -v,
x = 1, 2 < y, And(-1 < z,z < 1)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [1, 1], [3, 3], [0, 0]]]], [[10,
2, 4, 5, 4], [v = 2^(1/2), u = -v, x = 1, 2 < y, z = 1], [regular_chain, [[
741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [1, 1], [
3, 3], [1, 1]]]], [[10, 2, 4, 5, 5], [v = 2^(1/2), u = -v, x = 1, 2 < y, 1 < z
], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -\
741455/524288], [1, 1], [3, 3], [2, 2]]]], [[10, 6, 2, 5, 1], [v = 2^(1/2), u
= 0, x = -1, 2 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576],
[0, 0], [-1, -1], [3, 3], [0, 0]]]], [[11, 6, 5, 2, 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, 10, 5, 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, 10, 5, 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, 10, 5, 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]]]], [[1, 3, 6,
1, 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], [-3, -3], [-2, -2]]]], [[1, 3, 6, 1, 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], [-3, -\
3], [-735979/1048576, -1471957/2097152]]]], [[1, 3, 6, 1, 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], [-3, -3], [-1/4194304, -1/4194304]]]], [[1, 3, 6, 1,
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], [-3, -3], [367989/524288, 735979/1048576]]]], [[1, 3, 6, 1,
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], [-3, -3], [2, 2]]]], [[1, 7, 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+2, z = z], [
regular_chain, [[-3, -3], [0, 0], [1, 1], [-8, -8], [0, 0]]]], [[2, 5, 6, 3, 1
], [v = -2^(1/2), And(-1 < u,u < 0), x = 1, And(-u^2 < y,y < u^2), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [1, 1], [0,
0], [0, 0]]]], [[2, 9, 4, 3, 1], [v = -2^(1/2), And(1 < u,u < -v), x = -u^2+1,
0 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [1265743/1048576, 1265743/1048576], [-479311/1048576, -239655/524288], [1,
1], [-2, -2]]]], [[2, 9, 4, 3, 2], [v = -2^(1/2), And(1 < u,u < -v), x = -u^2+
1, 0 < y, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-479311/1048576, -239655/524288]
, [1, 1], [-1417877/2097152, -354469/524288]]]], [[2, 9, 4, 3, 3], [v = -2^(1/
2), And(1 < u,u < -v), x = -u^2+1, 0 < y, 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], [1, 1], [0, 0]]]], [[2, 9
, 4, 3, 4], [v = -2^(1/2), And(1 < u,u < -v), x = -u^2+1, 0 < y, z = (u^2-1)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576,
1265743/1048576], [-479311/1048576, -239655/524288], [1, 1], [354469/524288, 
708939/1048576]]]], [[2, 9, 4, 3, 5], [v = -2^(1/2), And(1 < u,u < -v), x = -u
^2+1, 0 < y, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-479311/1048576, -239655/524288]
, [1, 1], [2, 2]]]], [[4, 4, 4, 1, 1], [v = -1, u = 0, x = 0, y < 0, z < 0], [
regular_chain, [[-1, -1], [0, 0], [0, 0], [-1, -1], [-1, -1]]]], [[4, 4, 4, 1,
2], [v = -1, u = 0, x = 0, y < 0, z = 0], [regular_chain, [[-1, -1], [0, 0], [
0, 0], [-1, -1], [0, 0]]]], [[4, 4, 4, 1, 3], [v = -1, u = 0, x = 0, y < 0, 0
< z], [regular_chain, [[-1, -1], [0, 0], [0, 0], [-1, -1], [1, 1]]]], [[5, 1,
2, 3, 1], [And(-1 < v,v < 0), u < v, x = -u^2+v^2-1, 0 < y, z < -(u^2-v^2+1)^(
1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [-19/4, -19/4], [1, 1], [-4, -\
4]]]], [[5, 1, 2, 3, 2], [And(-1 < v,v < 0), u < v, x = -u^2+v^2-1, 0 < y, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [-19/4, -19/4],
[1, 1], [-2285319/1048576, -1142659/524288]]]], [[5, 1, 2, 3, 3], [And(-1 < v,
v < 0), u < v, x = -u^2+v^2-1, 0 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+
1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-2, -2], [-19/4, -19/4], [1, 1], [
0, 0]]]], [[5, 1, 2, 3, 4], [And(-1 < v,v < 0), u < v, x = -u^2+v^2-1, 0 < y,
z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [-19/4, -19/4
], [1, 1], [1142659/524288, 2285319/1048576]]]], [[5, 1, 2, 3, 5], [And(-1 < v
,v < 0), u < v, x = -u^2+v^2-1, 0 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain,
[[-1/2, -1/2], [-2, -2], [-19/4, -19/4], [1, 1], [4, 4]]]], [[7, 5, 1, 5, 1],
[And(0 < v,v < 1), v < u, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, z < -(u^2-v^2+1)^(
1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [-6, -6], [3, 3], [-4, -4]]]], [[7
, 5, 1, 5, 2], [And(0 < v,v < 1), v < u, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [-6, -6], [3, 3], [-\
2285319/1048576, -1142659/524288]]]], [[7, 5, 1, 5, 3], [And(0 < v,v < 1), v <
u, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1
)^(1/2))], [regular_chain, [[1/2, 1/2], [2, 2], [-6, -6], [3, 3], [0, 0]]]], [
[7, 5, 1, 5, 4], [And(0 < v,v < 1), v < u, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, z
= (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [-6, -6], [3, 3], [
1142659/524288, 2285319/1048576]]]], [[7, 5, 1, 5, 5], [And(0 < v,v < 1), v <
u, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [
[1/2, 1/2], [2, 2], [-6, -6], [3, 3], [4, 4]]]], [[8, 3, 7, 2, 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, 3, 7, 2, 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, 3, 7, 2, 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, 3, 7, 2, 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, 3, 7, 2, 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]]]], [[11, 1, 3, 2, 1], [2^(1/2) < v, 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], [-4,
-4], [-9/2, -9/2], [-7/2, -7/2], [-4, -4]]]], [[11, 1, 3, 2, 2], [2^(1/2) < v,
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], [-4, -4], [-9/2, -9/2], [-7/2, -7/2], [-2965821/
1048576, -11863283/4194304]]]], [[11, 1, 3, 2, 3], [2^(1/2) < v, 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], [-4, -4], [-9/2, -9/2], [-7/2, -7/2],
[-3/8388608, -3/8388608]]]], [[11, 1, 3, 2, 4], [2^(1/2) < v, 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], [-4, -4], [-9/2, -9/2], [-7/2, -7/2], [741455/262144, 2965821/1048576
]]]], [[11, 1, 3, 2, 5], [2^(1/2) < v, 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], [-4, -4], [-9/2
, -9/2], [-7/2, -7/2], [4, 4]]]], [[11, 5, 1, 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+x+1, z = z], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-2, -2], [-\
657547/262144, -5260375/2097152], [0, 0]]]], [[1, 13, 4, 4, 1], [v < -2^(1/2),
-v < u, x = -1, y = u^2-v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3
], [4, 4], [-1, -1], [7, 7], [-4, -4]]]], [[1, 13, 4, 4, 2], [v < -2^(1/2), -v
< u, x = -1, y = u^2-v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3],
[4, 4], [-1, -1], [7, 7], [-2965821/1048576, -11863283/4194304]]]], [[1, 13, 4
, 4, 3], [v < -2^(1/2), -v < 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], [4, 4], [-1, -1], [7, 7]
, [-3/8388608, -3/8388608]]]], [[1, 13, 4, 4, 4], [v < -2^(1/2), -v < u, x = -\
1, y = u^2-v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [-1
, -1], [7, 7], [741455/262144, 2965821/1048576]]]], [[1, 13, 4, 4, 5], [v < -2
^(1/2), -v < u, x = -1, y = u^2-v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [
[-3, -3], [4, 4], [-1, -1], [7, 7], [4, 4]]]], [[2, 4, 2, 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, 4, 2, 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, 4, 2, 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]]]], [[3, 4, 4, 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, 4, 4, 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, 4, 4, 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]]]], [[3, 7, 7, 4, 1], [And(-2
^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = u^2-v^2+x+1, z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [2, 2], [2547523/1048576, 636881/262144], [-2
, -2]]]], [[3, 7, 7, 4, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u
< -v), 1 < x, y = u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [2, 2],
[2547523/1048576, 636881/262144], [-1374407/2097152, -687203/1048576]]]], [[3,
7, 7, 4, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x,
y = u^2-v^2+x+1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [2547523/1048576, 636881/262144], [0, 0]]]], [[3, 7, 7, 4, 4
], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = u^2-v^
2+x+1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [2, 2], [2547523/1048576, 636881/
262144], [687203/1048576, 171801/262144]]]], [[3, 7, 7, 4, 5], [And(-2^(1/2) <
v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = u^2-v^2+x+1, (u^2-v^2+1)^
(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [2, 2], [2547523/1048576, 636881/262144], [2, 2]]]],
[[6, 2, 3, 1, 1], [v = 0, u = 0, And(-1 < x,x < 1), y < -1-x, z < -1], [
regular_chain, [[0, 0], [0, 0], [0, 0], [-2, -2], [-2, -2]]]], [[6, 2, 3, 1, 2
], [v = 0, u = 0, And(-1 < x,x < 1), y < -1-x, z = -1], [regular_chain, [[0, 0
], [0, 0], [0, 0], [-2, -2], [-1, -1]]]], [[6, 2, 3, 1, 3], [v = 0, u = 0, And
(-1 < x,x < 1), y < -1-x, And(-1 < z,z < 1)], [regular_chain, [[0, 0], [0, 0],
[0, 0], [-2, -2], [0, 0]]]], [[6, 2, 3, 1, 4], [v = 0, u = 0, And(-1 < x,x < 1
), y < -1-x, z = 1], [regular_chain, [[0, 0], [0, 0], [0, 0], [-2, -2], [1, 1]
]]], [[6, 2, 3, 1, 5], [v = 0, u = 0, And(-1 < x,x < 1), y < -1-x, 1 < z], [
regular_chain, [[0, 0], [0, 0], [0, 0], [-2, -2], [2, 2]]]], [[7, 3, 3, 1, 1],
[And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2+
x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8
], [-2, -2], [-2, -2]]]], [[7, 3, 3, 1, 2], [And(0 < v,v < 1), And(-v < u,u <
v), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [-2, -2], [-1816187/2097152,
-3632373/4194304]]]], [[7, 3, 3, 1, 3], [And(0 < v,v < 1), And(-v < u,u < v),
And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2+x+1, And(-(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], [-2, -2]
, [-1/8388608, -1/8388608]]]], [[7, 3, 3, 1, 4], [And(0 < v,v < 1), And(-v < u
,u < v), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)],
[regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [-2, -2], [908093/1048576,
454047/524288]]]], [[7, 3, 3, 1, 5], [And(0 < v,v < 1), And(-v < u,u < v), And
(-1 < x,x < -u^2+v^2-1), y < u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [-2, -2], [2, 2]]]], [[9, 2,
5, 1, 1], [And(1 < v,v < 2^(1/2)), u = -v, 1 < x, y < -1-x, z < -1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-4, -4], [-2, -2]]]], [[9, 2, 5, 1, 2], [And(1 < v,
v < 2^(1/2)), u = -v, 1 < x, y < -1-x, z = -1], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [-4,
-4], [-1, -1]]]], [[9, 2, 5, 1, 3], [And(1 < v,v < 2^(1/2)), u = -v, 1 < x, y
< -1-x, And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-1265743/1048576, -1265743/1048576], [2, 2], [-4, -4], [0, 0]]]], [[9, 2,
5, 1, 4], [And(1 < v,v < 2^(1/2)), u = -v, 1 < x, y < -1-x, z = 1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-4, -4], [1, 1]]]], [[9, 2, 5, 1, 5], [And(1 < v,v
< 2^(1/2)), u = -v, 1 < x, y < -1-x, 1 < z], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [-4, -4], [2
, 2]]]], [[9, 6, 3, 1, 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], [-2, -2], [-1, -1]]]], [[9, 6
, 3, 1, 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], [-2, -2], [0, 0]]]], [[9, 6, 3, 1, 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], [-2, -2], [1, 1]]]], [[10, 2, 5, 1, 1], [v = 2^(1/2),
u = -v, 1 < x, y < -1-x, z < -1], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [2, 2], [-4, -4], [-2, -2]]]], [
[10, 2, 5, 1, 2], [v = 2^(1/2), u = -v, 1 < x, y < -1-x, z = -1], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [2, 2], [-4, -4], [-1, -1]]]], [[10, 2, 5, 1, 3], [v = 2^(1/2), u = -
v, 1 < x, y < -1-x, And(-1 < z,z < 1)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [2, 2], [-4, -4], [0, 0]
]]], [[10, 2, 5, 1, 4], [v = 2^(1/2), u = -v, 1 < x, y < -1-x, z = 1], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [2, 2], [-4, -4], [1, 1]]]], [[10, 2, 5, 1, 5], [v = 2^(1/2), u = -v,
1 < x, y < -1-x, 1 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [2, 2], [-4, -4], [2, 2]]]], [[10, 6, 3, 1,
1], [v = 2^(1/2), u = 0, And(-1 < x,x < 1), y < x-1, z = z], [regular_chain, [
[741455/524288, 1482911/1048576], [0, 0], [0, 0], [-2, -2], [0, 0]]]], [[11, 6
, 5, 1, 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], [-2, -2]
, [0, 0]]]], [[11, 10, 5, 3, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), And(0 < x,x
< 1), And(-x < y,y < x), z < 0], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [1/2, 1/2], [0, 0], [-1, -1]]]], [[11, 10, 5, 3, 2], [2^(1/2
) < v, u = (v^2-1)^(1/2), And(0 < x,x < 1), And(-x < y,y < x), z = 0], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1/2, 1/2], [0, 0],
[0, 0]]]], [[11, 10, 5, 3, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), And(0 < x,x <
1), And(-x < y,y < x), 0 < z], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [1/2, 1/2], [0, 0], [1, 1]]]], [[1, 3, 6, 2, 1], [v < -2^(1/
2), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/
2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1, 1],
[-391287/262144, -1565147/1048576], [-2, -2]]]], [[1, 3, 6, 2, 2], [v < -2^(1/
2), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/
2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1, 1],
[-391287/262144, -1565147/1048576], [-735979/1048576, -1471957/2097152]]]], [[
1, 3, 6, 2, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+
v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-\
3, -3], [-6111549/2097152, -6111549/2097152], [1, 1], [-391287/262144, -\
1565147/1048576], [-1/4194304, -1/4194304]]]], [[1, 3, 6, 2, 4], [v < -2^(1/2)
, And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)]
, [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1, 1], [-\
391287/262144, -1565147/1048576], [367989/524288, 735979/1048576]]]], [[1, 3,
6, 2, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2,
(u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549
/2097152], [1, 1], [-391287/262144, -1565147/1048576], [2, 2]]]], [[1, 7, 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+2, z = z], [regular_chain, [[-3, -3], [0, 0], [1, 1], [-7, -7], [0, 0]]]]
, [[2, 5, 6, 2, 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, 9, 4, 2, 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, 9, 4, 2, 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, 9, 4, 2, 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, 9, 4, 2, 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, 9, 4, 2, 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]]]], [[4, 4, 4, 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, 4, 4, 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, 4, 4, 2, 3], [v = -1, u = 0, x =
0, y = 0, 0 < z], [regular_chain, [[-1, -1], [0, 0], [0, 0], [0, 0], [1, 1]]]]
, [[5, 1, 3, 1, 1], [And(-1 < v,v < 0), 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], [-2, -2]
, [-23/8, -23/8], [-3, -3], [-4, -4]]]], [[5, 1, 3, 1, 2], [And(-1 < v,v < 0),
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], [-2, -2], [-23/8, -23/8], [-3, -3], [-2285319/
1048576, -1142659/524288]]]], [[5, 1, 3, 1, 3], [And(-1 < v,v < 0), 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], [-2, -2], [-23/8, -23/8], [-3,
-3], [0, 0]]]], [[5, 1, 3, 1, 4], [And(-1 < v,v < 0), 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], [-2, -2], [-23/8, -23/8], [-3, -3], [1142659/524288, 2285319/1048576]]]]
, [[5, 1, 3, 1, 5], [And(-1 < v,v < 0), 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], [-2, -2],
[-23/8, -23/8], [-3, -3], [4, 4]]]], [[7, 5, 1, 4, 1], [And(0 < v,v < 1), v <
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], [2, 2], [-6, -6], [5/4, 5/4], [-4, -4]]]], [[7, 5, 1, 4, 2], [And
(0 < v,v < 1), v < 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], [2, 2], [-6, -6], [5/4, 5/4], [-2285319/
1048576, -1142659/524288]]]], [[7, 5, 1, 4, 3], [And(0 < v,v < 1), v < 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], [2, 2], [-6, -6], [5/4, 5/4], [0, 0]]]], [[7,
5, 1, 4, 4], [And(0 < v,v < 1), v < 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], [2, 2], [-6, -6], [5/4, 5/4],
[1142659/524288, 2285319/1048576]]]], [[7, 5, 1, 4, 5], [And(0 < v,v < 1), v <
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], [2, 2], [-6, -6], [5/4, 5/4], [4, 4]]]], [[8, 3, 7, 1, 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], [-4, -4], [-2, -2]]]], [[8, 3, 7, 1, 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],
[-4, -4], [-1/2, -1/2]]]], [[8, 3, 7, 1, 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],
[-4, -4], [0, 0]]]], [[8, 3, 7, 1, 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], [-4, -4], [1/2,
1/2]]]], [[8, 3, 7, 1, 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], [-4, -4], [2, 2]]]], [[11,
1, 3, 3, 1], [2^(1/2) < v, u < -v, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-\
1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4,
-4], [-9/2, -9/2], [0, 0], [-4, -4]]]], [[11, 1, 3, 3, 2], [2^(1/2) < v, u < -
v, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^
2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [-9/2, -9/2], [0, 0], [-\
2965821/1048576, -11863283/4194304]]]], [[11, 1, 3, 3, 3], [2^(1/2) < v, u < -
v, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), And(-(u^
2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [-4, -4],
[-9/2, -9/2], [0, 0], [-3/8388608, -3/8388608]]]], [[11, 1, 3, 3, 4], [2^(1/2)
< v, u < -v, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1)
, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [-9/2, -9/2], [0,
0], [741455/262144, 2965821/1048576]]]], [[11, 1, 3, 3, 5], [2^(1/2) < v, u <
-v, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^
2+1)^(1/2) < z], [regular_chain, [[3, 3], [-4, -4], [-9/2, -9/2], [0, 0], [4,
4]]]], [[11, 5, 1, 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+x+1 < y,y < -u^2+v^2-x-1), z = z], [regular_chain, [
[3, 3], [-22960369/8388608, -22960369/8388608], [-2, -2], [-1/4194304, -1/
4194304], [0, 0]]]], [[1, 3, 7, 2, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), 1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3,
-3], [-6111549/2097152, -6111549/2097152], [2, 2], [-653431/262144, -2613723/
1048576], [-2, -2]]]], [[1, 3, 7, 2, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)
^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
3, -3], [-6111549/2097152, -6111549/2097152], [2, 2], [-653431/262144, -\
2613723/1048576], [-735979/1048576, -1471957/2097152]]]], [[1, 3, 7, 2, 3], [v
< -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, And(-(u^2-
v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-6111549
/2097152, -6111549/2097152], [2, 2], [-653431/262144, -2613723/1048576], [-1/
4194304, -1/4194304]]]], [[1, 3, 7, 2, 4], [v < -2^(1/2), And(v < u,u < -(v^2-\
1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
-3, -3], [-6111549/2097152, -6111549/2097152], [2, 2], [-653431/262144, -\
2613723/1048576], [367989/524288, 735979/1048576]]]], [[1, 3, 7, 2, 5], [v < -
2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(
1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [2
, 2], [-653431/262144, -2613723/1048576], [2, 2]]]], [[1, 7, 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+2 < y,y
< -u^2+v^2-2), z = z], [regular_chain, [[-3, -3], [0, 0], [1, 1], [0, 0], [0,
0]]]], [[2, 5, 7, 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, 9, 5, 2, 1], [v = -2^(1/2), And(1 < 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], [1265743/1048576, 1265743/1048576], [284633/
1048576, 284633/1048576], [-95493/131072, -1527887/2097152], [-2, -2]]]], [[2,
9, 5, 2, 2], [v = -2^(1/2), And(1 < 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]
, [1265743/1048576, 1265743/1048576], [284633/1048576, 284633/1048576], [-\
95493/131072, -1527887/2097152], [-1417877/2097152, -354469/524288]]]], [[2, 9
, 5, 2, 3], [v = -2^(1/2), And(1 < 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], [1265743/1048576, 1265743/1048576], [284633/1048576,
284633/1048576], [-95493/131072, -1527887/2097152], [0, 0]]]], [[2, 9, 5, 2, 4
], [v = -2^(1/2), And(1 < 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], [1265743/
1048576, 1265743/1048576], [284633/1048576, 284633/1048576], [-95493/131072, -\
1527887/2097152], [354469/524288, 708939/1048576]]]], [[2, 9, 5, 2, 5], [v = -
2^(1/2), And(1 < 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], [1265743/1048576, 
1265743/1048576], [284633/1048576, 284633/1048576], [-95493/131072, -1527887/
2097152], [2, 2]]]], [[4, 4, 5, 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, 4, 5, 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, 4, 5
, 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]]]], [[5, 1, 3, 2, 1], [And(-1 <
v,v < 0), 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], [-2, -2], [-23/8, -23/8], [-15/8, -15
/8], [-4, -4]]]], [[5, 1, 3, 2, 2], [And(-1 < v,v < 0), 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], [-2, -2], [-23/8, -23/8], [-15/8, -15/8], [-2285319/1048576, -1142659
/524288]]]], [[5, 1, 3, 2, 3], [And(-1 < v,v < 0), 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], [-2, -2], [-23/8, -23/8], [-15/8, -15/8], [0, 0]
]]], [[5, 1, 3, 2, 4], [And(-1 < v,v < 0), 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], [-2,
-2], [-23/8, -23/8], [-15/8, -15/8], [1142659/524288, 2285319/1048576]]]], [[5
, 1, 3, 2, 5], [And(-1 < v,v < 0), 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], [-2, -2], [-\
23/8, -23/8], [-15/8, -15/8], [4, 4]]]], [[7, 5, 3, 3, 1], [And(0 < v,v < 1),
v < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [-23/8, -23/8], [0,
0], [-4, -4]]]], [[7, 5, 3, 3, 2], [And(0 < v,v < 1), v < u, And(-u^2+v^2-1 <
x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [2, 2], [-23/8, -23/8], [0, 0], [-2285319/1048576,
-1142659/524288]]]], [[7, 5, 3, 3, 3], [And(0 < v,v < 1), v < u, And(-u^2+v^2-\
1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^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], [2, 2], [-23/8, -23/8]
, [0, 0], [0, 0]]]], [[7, 5, 3, 3, 4], [And(0 < v,v < 1), v < u, And(-u^2+v^2-\
1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2-v^2+1)^(1/2)],
[regular_chain, [[1/2, 1/2], [2, 2], [-23/8, -23/8], [0, 0], [1142659/524288,
2285319/1048576]]]], [[7, 5, 3, 3, 5], [And(0 < v,v < 1), v < u, And(-u^2+v^2-\
1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z],
[regular_chain, [[1/2, 1/2], [2, 2], [-23/8, -23/8], [0, 0], [4, 4]]]], [[8, 3
, 7, 4, 1], [v = 1, And(-1 < u,u < 0), 1 < x, y = u^2+x, z < u], [
regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [9/4, 9/4], [-2, -2]]]], [[8, 3,
7, 4, 2], [v = 1, And(-1 < u,u < 0), 1 < x, y = u^2+x, z = u], [regular_chain,
[[1, 1], [-1/2, -1/2], [2, 2], [9/4, 9/4], [-1/2, -1/2]]]], [[8, 3, 7, 4, 3],
[v = 1, And(-1 < u,u < 0), 1 < x, y = u^2+x, And(u < z,z < -u)], [
regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [9/4, 9/4], [0, 0]]]], [[8, 3, 7
, 4, 4], [v = 1, And(-1 < u,u < 0), 1 < x, y = u^2+x, z = -u], [regular_chain,
[[1, 1], [-1/2, -1/2], [2, 2], [9/4, 9/4], [1/2, 1/2]]]], [[8, 3, 7, 4, 5], [v
= 1, And(-1 < u,u < 0), 1 < x, y = u^2+x, -u < z], [regular_chain, [[1, 1], [-\
1/2, -1/2], [2, 2], [9/4, 9/4], [2, 2]]]], [[11, 1, 2, 3, 1], [2^(1/2) < v, u
< -v, x = -u^2+v^2-1, 0 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3],
[-4, -4], [-8, -8], [1, 1], [-4, -4]]]], [[11, 1, 2, 3, 2], [2^(1/2) < v, u <
-v, x = -u^2+v^2-1, 0 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [
-4, -4], [-8, -8], [1, 1], [-2965821/1048576, -11863283/4194304]]]], [[11, 1,
2, 3, 3], [2^(1/2) < v, u < -v, x = -u^2+v^2-1, 0 < y, And(-(u^2-v^2+1)^(1/2)
< z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [-4, -4], [-8, -8], [1,
1], [-3/8388608, -3/8388608]]]], [[11, 1, 2, 3, 4], [2^(1/2) < v, u < -v, x =
-u^2+v^2-1, 0 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4],
[-8, -8], [1, 1], [741455/262144, 2965821/1048576]]]], [[11, 1, 2, 3, 5], [2^(
1/2) < v, u < -v, x = -u^2+v^2-1, 0 < y, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-4, -4], [-8, -8], [1, 1], [4, 4]]]], [[11, 4, 7, 1,
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], [-3, -3], [-1, -1]]]],
[[11, 4, 7, 1, 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], [-3, -3
], [0, 0]]]], [[11, 4, 7, 1, 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], [-3, -3], [1, 1]]]], [[1, 13, 4, 1, 1], [v < -2^(1/2), -v < u, x = -1, y
< -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [-1, -\
1], [-8, -8], [-4, -4]]]], [[1, 13, 4, 1, 2], [v < -2^(1/2), -v < u, x = -1, y
< -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [-1, -\
1], [-8, -8], [-2965821/1048576, -11863283/4194304]]]], [[1, 13, 4, 1, 3], [v
< -2^(1/2), -v < 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], [4, 4], [-1, -1], [-8, -8], [-3/
8388608, -3/8388608]]]], [[1, 13, 4, 1, 4], [v < -2^(1/2), -v < u, x = -1, y <
-u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4], [-1, -1],
[-8, -8], [741455/262144, 2965821/1048576]]]], [[1, 13, 4, 1, 5], [v < -2^(1/2
), -v < u, x = -1, y < -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3,
-3], [4, 4], [-1, -1], [-8, -8], [4, 4]]]], [[2, 4, 1, 2, 1], [v = -2^(1/2), u
= -1, x < -1, y = x, z < 0], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [-2, -2], [-2, -2], [-1, -1]]]], [[2, 4, 1, 2, 2], [v = -2^
(1/2), u = -1, x < -1, y = x, z = 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1, -1], [-2, -2], [-2, -2], [0, 0]]]], [[2, 4, 1, 2, 3], [v
= -2^(1/2), u = -1, x < -1, y = x, 0 < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1, -1], [-2, -2], [-2, -2], [1, 1]]]], [[3, 4, 4, 1, 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], [-1, -1], [-1, -1]]]], [[3, 4, 4, 1, 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]
, [-1, -1], [0, 0]]]], [[3, 4, 4, 1, 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], [-1, -1], [1, 1]]]], [[3
, 7, 6, 4, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 1
, y = u^2-v^2+2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [1498947/1048576,
374737/262144], [-2, -2]]]], [[3, 7, 6, 4, 2], [And(-2^(1/2) < v,v < -1), And(
(v^2-1)^(1/2) < u,u < -v), x = 1, y = u^2-v^2+2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [1, 1], [1498947/1048576, 374737/262144], [-1374407/2097152, -687203
/1048576]]]], [[3, 7, 6, 4, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) <
u,u < -v), x = 1, y = u^2-v^2+2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1
/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576,
987341/1048576], [1, 1], [1498947/1048576, 374737/262144], [0, 0]]]], [[3, 7,
6, 4, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, y =
u^2-v^2+2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [1498947/1048576,
374737/262144], [687203/1048576, 171801/262144]]]], [[3, 7, 6, 4, 5], [And(-2^
(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, y = u^2-v^2+2, (u^2-v
^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [1, 1], [1498947/1048576, 374737/262144], [2,
2]]]], [[6, 2, 2, 1, 1], [v = 0, u = 0, x = -1, y < 0, z < -1], [regular_chain
, [[0, 0], [0, 0], [-1, -1], [-1, -1], [-2, -2]]]], [[6, 2, 2, 1, 2], [v = 0,
u = 0, x = -1, y < 0, z = -1], [regular_chain, [[0, 0], [0, 0], [-1, -1], [-1,
-1], [-1, -1]]]], [[6, 2, 2, 1, 3], [v = 0, u = 0, x = -1, y < 0, And(-1 < z,z
< 1)], [regular_chain, [[0, 0], [0, 0], [-1, -1], [-1, -1], [0, 0]]]], [[6, 2,
2, 1, 4], [v = 0, u = 0, x = -1, y < 0, z = 1], [regular_chain, [[0, 0], [0, 0
], [-1, -1], [-1, -1], [1, 1]]]], [[6, 2, 2, 1, 5], [v = 0, u = 0, x = -1, y <
0, 1 < z], [regular_chain, [[0, 0], [0, 0], [-1, -1], [-1, -1], [2, 2]]]], [[7
, 3, 1, 4, 1], [And(0 < v,v < 1), And(-v < u,u < v), 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], [-2, -2], [5/4,
5/4], [-2, -2]]]], [[7, 3, 1, 4, 2], [And(0 < v,v < 1), And(-v < u,u < v), 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], [-2, -2], [5/4, 5/4], [-1816187/2097152, -3632373/4194304]]]], [[7, 3, 1
, 4, 3], [And(0 < v,v < 1), And(-v < u,u < v), 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], [-2, -2], [5/4, 5/4], [-1/8388608, -1/8388608]]]], [[7, 3, 1, 4, 4], [
And(0 < v,v < 1), And(-v < u,u < v), 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], [-2, -2], [5/4, 5/4], [908093/
1048576, 454047/524288]]]], [[7, 3, 1, 4, 5], [And(0 < v,v < 1), And(-v < u,u
< v), 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], [-2, -2], [5/4, 5/4], [2, 2]]]], [[9, 2, 4, 5, 1], [And(1 < v,v
< 2^(1/2)), u = -v, x = 1, 2 < y, z < -1], [regular_chain, [[1265743/1048576,
1265743/1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [3, 3], [-2, -\
2]]]], [[9, 2, 4, 5, 2], [And(1 < v,v < 2^(1/2)), u = -v, x = 1, 2 < y, z = -1
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1, 1], [3, 3], [-1, -1]]]], [[9, 2, 4, 5, 3], [And(1 < v,v
< 2^(1/2)), u = -v, x = 1, 2 < y, And(-1 < z,z < 1)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [1, 1
], [3, 3], [0, 0]]]], [[9, 2, 4, 5, 4], [And(1 < v,v < 2^(1/2)), u = -v, x = 1
, 2 < y, z = 1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [1, 1], [3, 3], [1, 1]]]], [[9, 2, 4, 5, 5
], [And(1 < v,v < 2^(1/2)), u = -v, x = 1, 2 < y, 1 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [1, 1
], [3, 3], [2, 2]]]], [[9, 6, 2, 1, 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], [-2, -2], [-1, -1]]]], [[
9, 6, 2, 1, 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], [-2, -2], [0, 0]]]], [[9, 6, 2, 1, 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],
[-2, -2], [1, 1]]]], [[10, 3, 1, 1, 1], [v = 2^(1/2), And(-v < u,u < -1), x <
-1, y < u^2+x-1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [-3, -3], [-2, -2]]
]], [[10, 3, 1, 1, 2], [v = 2^(1/2), And(-v < u,u < -1), x < -1, y < u^2+x-1,
z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-2, -2], [-3, -3], [-1417877/2097152, -\
354469/524288]]]], [[10, 3, 1, 1, 3], [v = 2^(1/2), And(-v < u,u < -1), 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], [-2, -2
], [-3, -3], [0, 0]]]], [[10, 3, 1, 1, 4], [v = 2^(1/2), And(-v < u,u < -1), x
< -1, y < u^2+x-1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [-3, -3], [
354469/524288, 708939/1048576]]]], [[10, 3, 1, 1, 5], [v = 2^(1/2), And(-v < u
,u < -1), x < -1, y < u^2+x-1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [-3,
-3], [2, 2]]]], [[10, 6, 3, 2, 1], [v = 2^(1/2), u = 0, And(-1 < x,x < 1), y =
x-1, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [0, 0]
, [-1, -1], [0, 0]]]], [[11, 7, 1, 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+x+1 < y,y < -u^2+v^2-x-1), z = z], [
regular_chain, [[3, 3], [0, 0], [-2, -2], [0, 0], [0, 0]]]], [[11, 10, 6, 1, 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], [-2, -2], [-1, -1]]]], [[11, 
10, 6, 1, 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], [-2, -2], [0
, 0]]]], [[11, 10, 6, 1, 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], [-2,
-2], [1, 1]]]], [[1, 3, 7, 3, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2))
, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [2, 2], [0, 0]
, [-2, -2]]]], [[1, 3, 7, 3, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)),
1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [2, 2], [0, 0]
, [-735979/1048576, -1471957/2097152]]]], [[1, 3, 7, 3, 3], [v < -2^(1/2), And
(v < u,u < -(v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), And(
-(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], [0, 0], [-1/4194304, -1/4194304]]]
], [[1, 3, 7, 3, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, And(
-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-\
3, -3], [-6111549/2097152, -6111549/2097152], [2, 2], [0, 0], [367989/524288,
735979/1048576]]]], [[1, 3, 7, 3, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1
/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [2, 2], [0, 0]
, [2, 2]]]], [[1, 7, 4, 4, 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]]]], [[2, 5, 7, 3, 1], [v = -2^(1/2), And(-1 < u,u < 0),
1 < x, And(-u^2-x+1 < y,y < u^2+x-1), z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [2, 2], [0, 0], [0, 0]]]], [[2, 9, 5,
1, 1], [v = -2^(1/2), And(1 < 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], [
1265743/1048576, 1265743/1048576], [284633/1048576, 284633/1048576], [-2, -2],
[-2, -2]]]], [[2, 9, 5, 1, 2], [v = -2^(1/2), And(1 < 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], [1265743/1048576, 1265743/1048576], [284633/1048576,
284633/1048576], [-2, -2], [-1417877/2097152, -354469/524288]]]], [[2, 9, 5, 1
, 3], [v = -2^(1/2), And(1 < 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], [1265743/1048576, 1265743/1048576], [284633/1048576, 284633
/1048576], [-2, -2], [0, 0]]]], [[2, 9, 5, 1, 4], [v = -2^(1/2), And(1 < 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], [1265743/1048576, 1265743/1048576], [
284633/1048576, 284633/1048576], [-2, -2], [354469/524288, 708939/1048576]]]],
[[2, 9, 5, 1, 5], [v = -2^(1/2), And(1 < 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], [1265743/1048576, 1265743/1048576], [284633/1048576, 284633/1048576],
[-2, -2], [2, 2]]]], [[4, 4, 5, 5, 1], [v = -1, u = 0, And(0 < x,x < 1), x < y
, z < 0], [regular_chain, [[-1, -1], [0, 0], [1/2, 1/2], [2, 2], [-1, -1]]]],
[[4, 4, 5, 5, 2], [v = -1, u = 0, And(0 < x,x < 1), x < y, z = 0], [
regular_chain, [[-1, -1], [0, 0], [1/2, 1/2], [2, 2], [0, 0]]]], [[4, 4, 5, 5,
3], [v = -1, u = 0, And(0 < x,x < 1), x < y, 0 < z], [regular_chain, [[-1, -1]
, [0, 0], [1/2, 1/2], [2, 2], [1, 1]]]], [[5, 1, 3, 3, 1], [And(-1 < v,v < 0),
u < v, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [-23/8, -23/8],
[0, 0], [-4, -4]]]], [[5, 1, 3, 3, 2], [And(-1 < v,v < 0), u < v, And(-u^2+v^2
-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [-2, -2], [-23/8, -23/8], [0, 0], [-2285319/
1048576, -1142659/524288]]]], [[5, 1, 3, 3, 3], [And(-1 < v,v < 0), u < v, And
(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^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], [-2, -2],
[-23/8, -23/8], [0, 0], [0, 0]]]], [[5, 1, 3, 3, 4], [And(-1 < v,v < 0), u < v
, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2-
v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [-23/8, -23/8], [0, 0]
, [1142659/524288, 2285319/1048576]]]], [[5, 1, 3, 3, 5], [And(-1 < v,v < 0),
u < v, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2
-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-2, -2], [-23/8, -23/8], [
0, 0], [4, 4]]]], [[7, 5, 3, 2, 1], [And(0 < v,v < 1), v < 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], [2, 2], [-23/8, -23/8], [-15/8, -15/8], [-4, -4]]]], [[7, 5, 3, 2, 2], [
And(0 < v,v < 1), v < 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], [2, 2], [-23/8, -23/8], [-15/8,
-15/8], [-2285319/1048576, -1142659/524288]]]], [[7, 5, 3, 2, 3], [And(0 < v,v
< 1), v < 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], [2, 2], [-23/8,
-23/8], [-15/8, -15/8], [0, 0]]]], [[7, 5, 3, 2, 4], [And(0 < v,v < 1), v < 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], [2, 2], [-23/8, -23/8], [-15/8, -15/8], [1142659/
524288, 2285319/1048576]]]], [[7, 5, 3, 2, 5], [And(0 < v,v < 1), v < 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], [2, 2], [-23/8, -23/8], [-15/8, -15/8], [4, 4]]]],
[[8, 3, 7, 3, 1], [v = 1, And(-1 < u,u < 0), 1 < x, And(-u^2-x < y,y < u^2+x),
z < u], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [0, 0], [-2, -2]]]], [[
8, 3, 7, 3, 2], [v = 1, And(-1 < u,u < 0), 1 < x, And(-u^2-x < y,y < u^2+x), z
= u], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [0, 0], [-1/2, -1/2]]]],
[[8, 3, 7, 3, 3], [v = 1, And(-1 < u,u < 0), 1 < x, And(-u^2-x < y,y < u^2+x),
And(u < z,z < -u)], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [0, 0], [0,
0]]]], [[8, 3, 7, 3, 4], [v = 1, And(-1 < u,u < 0), 1 < x, And(-u^2-x < y,y <
u^2+x), z = -u], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [0, 0], [1/2,
1/2]]]], [[8, 3, 7, 3, 5], [v = 1, And(-1 < u,u < 0), 1 < x, And(-u^2-x < y,y
< u^2+x), -u < z], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [0, 0], [2,
2]]]], [[11, 1, 3, 1, 1], [2^(1/2) < v, 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], [-4, -4], [-\
9/2, -9/2], [-5, -5], [-4, -4]]]], [[11, 1, 3, 1, 2], [2^(1/2) < v, 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], [-4, -4], [-9/2, -9/2], [-5, -5], [-2965821/1048576, -\
11863283/4194304]]]], [[11, 1, 3, 1, 3], [2^(1/2) < v, 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], [-4, -4], [-9/2, -9/2], [-5, -5], [-3/8388608, -\
3/8388608]]]], [[11, 1, 3, 1, 4], [2^(1/2) < v, 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], [-4, -\
4], [-9/2, -9/2], [-5, -5], [741455/262144, 2965821/1048576]]]], [[11, 1, 3, 1
, 5], [2^(1/2) < v, 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], [-4, -4], [-9/2, -9/2], [-5, -5],
[4, 4]]]], [[11, 4, 7, 2, 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, 4, 7, 2, 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, 4, 7, 2, 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]]]], [[1, 13, 4, 2, 1], [
v < -2^(1/2), -v < u, x = -1, y = -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [4, 4], [-1, -1], [-7, -7], [-4, -4]]]], [[1, 13, 4,
2, 2], [v < -2^(1/2), -v < u, x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [4, 4], [-1, -1], [-7, -7], [-2965821/1048576, -\
11863283/4194304]]]], [[1, 13, 4, 2, 3], [v < -2^(1/2), -v < 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], [4, 4], [-1, -1], [-7, -7], [-3/8388608, -3/8388608]]]], [[1, 13, 4,
2, 4], [v < -2^(1/2), -v < u, x = -1, y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [4, 4], [-1, -1], [-7, -7], [741455/262144, 2965821/
1048576]]]], [[1, 13, 4, 2, 5], [v < -2^(1/2), -v < u, x = -1, y = -u^2+v^2, (
u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [4, 4], [-1, -1], [-7, -7],
[4, 4]]]], [[2, 4, 1, 3, 1], [v = -2^(1/2), u = -1, x < -1, And(x < y,y < -x),
z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-2, -2
], [0, 0], [-1, -1]]]], [[2, 4, 1, 3, 2], [v = -2^(1/2), u = -1, x < -1, And(x
< y,y < -x), z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-1,
-1], [-2, -2], [0, 0], [0, 0]]]], [[2, 4, 1, 3, 3], [v = -2^(1/2), u = -1, x <
-1, And(x < y,y < -x), 0 < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [-2, -2], [0, 0], [1, 1]]]], [[3, 4, 3, 5, 1], [And(-2^(1/2
) < v,v < -1), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), -x < y, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-1/2, -1/2], [2, 2], [-1, -1]]]], [[3, 4, 3, 5, 2], [And(-2^(
1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), -x < y, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-1/2, -1/2], [2, 2], [0, 0]]]], [[3, 4, 3, 5, 3], [And(-2^(1/
2) < v,v < -1), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), -x < y, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-1/2, -1/2], [2, 2], [1, 1]]]], [[3, 7, 6, 3, 1], [And(-2^(1/
2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, And(-u^2+v^2-2 < y,y < u
^2-v^2+2), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [0, 0], [-2, -2]]]
], [[3, 7, 6, 3, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v),
x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [1, 1], [0, 0], [-1374407/2097152, -687203/1048576]]]], [[3, 7, 6, 3
, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, And(-u^
2+v^2-2 < y,y < u^2-v^2+2), And(-(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], [0, 0], [0, 0]]]], [[3, 7, 6, 3, 4], [And(-2^(1/2) <
v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^
2+2), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [1, 1], [0, 0], [687203/1048576, 
171801/262144]]]], [[3, 7, 6, 3, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1
/2) < u,u < -v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), (u^2-v^2+1)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [1, 1], [0, 0], [2, 2]]]], [[6, 2, 2, 2, 1], [v = 0, u = 0, x
= -1, y = 0, z < -1], [regular_chain, [[0, 0], [0, 0], [-1, -1], [0, 0], [-2,
-2]]]], [[6, 2, 2, 2, 2], [v = 0, u = 0, x = -1, y = 0, z = -1], [
regular_chain, [[0, 0], [0, 0], [-1, -1], [0, 0], [-1, -1]]]], [[6, 2, 2, 2, 3
], [v = 0, u = 0, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[0, 0],
[0, 0], [-1, -1], [0, 0], [0, 0]]]], [[6, 2, 2, 2, 4], [v = 0, u = 0, x = -1,
y = 0, z = 1], [regular_chain, [[0, 0], [0, 0], [-1, -1], [0, 0], [1, 1]]]], [
[6, 2, 2, 2, 5], [v = 0, u = 0, x = -1, y = 0, 1 < z], [regular_chain, [[0, 0]
, [0, 0], [-1, -1], [0, 0], [2, 2]]]], [[7, 3, 1, 5, 1], [And(0 < v,v < 1), 
And(-v < u,u < v), x < -1, -u^2+v^2-x-1 < y, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-2, -2], [3, 3], [-2, -2]]]], [[7, 3, 1,
5, 2], [And(0 < v,v < 1), And(-v < u,u < v), x < -1, -u^2+v^2-x-1 < y, z = -(u
^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-2, -2], [3, 3], [-\
1816187/2097152, -3632373/4194304]]]], [[7, 3, 1, 5, 3], [And(0 < v,v < 1), 
And(-v < u,u < v), x < -1, -u^2+v^2-x-1 < y, 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], [3, 3], [-1/
8388608, -1/8388608]]]], [[7, 3, 1, 5, 4], [And(0 < v,v < 1), And(-v < u,u < v
), x < -1, -u^2+v^2-x-1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/
2], [0, 0], [-2, -2], [3, 3], [908093/1048576, 454047/524288]]]], [[7, 3, 1, 5
, 5], [And(0 < v,v < 1), And(-v < u,u < v), x < -1, -u^2+v^2-x-1 < y, (u^2-v^2
+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [-2, -2], [3, 3], [2, 2]]
]], [[9, 2, 4, 4, 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, 2, 4, 4, 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, 2, 4, 4, 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, 2, 4, 4, 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, 2, 4, 4, 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, 6, 1, 5, 1], [And(1 < v,v
< 2^(1/2)), u = (v^2-1)^(1/2), x < -1, -x < y, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-2, -2],
[3, 3], [-1, -1]]]], [[9, 6, 1, 5, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1
/2), x < -1, -x < y, z = 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [-2, -2], [3, 3], [0, 0]]]], [[9, 6
, 1, 5, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -1, -x < y, 0 < z]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-2, -2], [3, 3], [1, 1]]]], [[10, 3, 1, 2, 1], [v = 2^(1/2), And(-v
< u,u < -1), x < -1, y = u^2+x-1, z < -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2
], [-3235683/2097152, -1617841/1048576], [-2, -2]]]], [[10, 3, 1, 2, 2], [v =
2^(1/2), And(-v < u,u < -1), x < -1, y = u^2+x-1, z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-2, -2], [-3235683/2097152, -1617841/1048576], [-1417877/2097152, -\
354469/524288]]]], [[10, 3, 1, 2, 3], [v = 2^(1/2), And(-v < u,u < -1), 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], [-2, -2
], [-3235683/2097152, -1617841/1048576], [0, 0]]]], [[10, 3, 1, 2, 4], [v = 2^
(1/2), And(-v < u,u < -1), x < -1, y = u^2+x-1, z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-2, -2], [-3235683/2097152, -1617841/1048576], [354469/524288, 
708939/1048576]]]], [[10, 3, 1, 2, 5], [v = 2^(1/2), And(-v < u,u < -1), x < -\
1, y = u^2+x-1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [-3235683/2097152, -\
1617841/1048576], [2, 2]]]], [[10, 6, 3, 3, 1], [v = 2^(1/2), u = 0, And(-1 <
x,x < 1), And(x-1 < y,y < -x+1), z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [0, 0], [0, 0], [0, 0]]]], [[11, 7, 1, 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+x+1, z
= z], [regular_chain, [[3, 3], [0, 0], [-2, -2], [-10, -10], [0, 0]]]], [[11,
10, 5, 5, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), And(0 < x,x < 1), x < y, z < 0]
, [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1/2, 1/2], [2, 2
], [-1, -1]]]], [[11, 10, 5, 5, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), And(0 < x
,x < 1), x < y, z = 0], [regular_chain, [[3, 3], [741455/262144, 2965821/
1048576], [1/2, 1/2], [2, 2], [0, 0]]]], [[11, 10, 5, 5, 3], [2^(1/2) < v, u =
(v^2-1)^(1/2), And(0 < x,x < 1), x < y, 0 < z], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [1/2, 1/2], [2, 2], [1, 1]]]], [[1, 3, 6, 5,
1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 1, u^2-v^2+2 < y, z < -(
u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [1, 1], [3, 3], [-2, -2]]]], [[1, 3, 6, 5, 2], [v < -2^(1/2), And(v
< u,u < -(v^2-1)^(1/2)), x = 1, u^2-v^2+2 < y, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1, 1], [3, 3]
, [-735979/1048576, -1471957/2097152]]]], [[1, 3, 6, 5, 3], [v < -2^(1/2), And
(v < u,u < -(v^2-1)^(1/2)), x = 1, u^2-v^2+2 < y, 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], [3, 3], [-1/4194304, -1/4194304]]]], [[1, 3, 6, 5, 4], [v <
-2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 1, u^2-v^2+2 < y, z = (u^2-v^2+1)
^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1,
1], [3, 3], [367989/524288, 735979/1048576]]]], [[1, 3, 6, 5, 5], [v < -2^(1/2
), And(v < u,u < -(v^2-1)^(1/2)), x = 1, u^2-v^2+2 < y, (u^2-v^2+1)^(1/2) < z]
, [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1, 1], [3,
3], [2, 2]]]], [[1, 7, 4, 5, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^
2-2)^(1/2)), x = 1, -u^2+v^2-2 < y, z = z], [regular_chain, [[-3, -3], [0, 0],
[1, 1], [8, 8], [0, 0]]]], [[2, 5, 7, 2, 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, 9, 5, 4, 1], [v =
-2^(1/2), And(1 < 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], [1265743/1048576,
1265743/1048576], [284633/1048576, 284633/1048576], [763943/1048576, 95493/
131072], [-2, -2]]]], [[2, 9, 5, 4, 2], [v = -2^(1/2), And(1 < 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], [1265743/1048576, 1265743/1048576], [284633/
1048576, 284633/1048576], [763943/1048576, 95493/131072], [-1417877/2097152, -\
354469/524288]]]], [[2, 9, 5, 4, 3], [v = -2^(1/2), And(1 < 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], [1265743/1048576, 1265743/
1048576], [284633/1048576, 284633/1048576], [763943/1048576, 95493/131072], [0
, 0]]]], [[2, 9, 5, 4, 4], [v = -2^(1/2), And(1 < 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], [1265743/1048576, 1265743/1048576], [284633/1048576, 284633/
1048576], [763943/1048576, 95493/131072], [354469/524288, 708939/1048576]]]],
[[2, 9, 5, 4, 5], [v = -2^(1/2), And(1 < 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], [1265743/1048576, 1265743/1048576], [284633/1048576, 284633/1048576],
[763943/1048576, 95493/131072], [2, 2]]]], [[4, 4, 5, 2, 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, 4, 5, 2, 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, 4, 5, 2, 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]]]], [[
5, 1, 3, 4, 1], [And(-1 < v,v < 0), 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], [-2, -2], [-\
23/8, -23/8], [15/8, 15/8], [-4, -4]]]], [[5, 1, 3, 4, 2], [And(-1 < v,v < 0),
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], [-2, -2], [-23/8, -23/8], [15/8, 15/8], [-\
2285319/1048576, -1142659/524288]]]], [[5, 1, 3, 4, 3], [And(-1 < v,v < 0), 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], [-2, -2], [-23/8, -23/8]
, [15/8, 15/8], [0, 0]]]], [[5, 1, 3, 4, 4], [And(-1 < v,v < 0), 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], [-2, -2], [-23/8, -23/8], [15/8, 15/8], [1142659/524288, 
2285319/1048576]]]], [[5, 1, 3, 4, 5], [And(-1 < v,v < 0), 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], [-2, -2], [-23/8, -23/8], [15/8, 15/8], [4, 4]]]], [[7, 5, 3, 1, 1],
[And(0 < v,v < 1), v < 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], [2, 2], [-23/8, -23/8], [-3, -\
3], [-4, -4]]]], [[7, 5, 3, 1, 2], [And(0 < v,v < 1), v < 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], [2, 2], [-23/8, -23/8], [-3, -3], [-2285319/1048576, -1142659/524288]]]],
[[7, 5, 3, 1, 3], [And(0 < v,v < 1), v < 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], [2, 2], [-23/8, -23/8], [-3, -3], [0, 0]]]], [[7, 5, 3, 1, 4],
[And(0 < v,v < 1), v < 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], [2, 2], [-23/8, -23/8], [-3, -3
], [1142659/524288, 2285319/1048576]]]], [[7, 5, 3, 1, 5], [And(0 < v,v < 1),
v < 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], [2, 2], [-23/8, -23/8], [-3, -3], [4, 4]]]], [[8,
4, 1, 1, 1], [v = 1, u = 0, x < -1, y < x, z < 0], [regular_chain, [[1, 1], [0
, 0], [-2, -2], [-3, -3], [-1, -1]]]], [[8, 4, 1, 1, 2], [v = 1, u = 0, x < -1
, y < x, z = 0], [regular_chain, [[1, 1], [0, 0], [-2, -2], [-3, -3], [0, 0]]]
], [[8, 4, 1, 1, 3], [v = 1, u = 0, x < -1, y < x, 0 < z], [regular_chain, [[1
, 1], [0, 0], [-2, -2], [-3, -3], [1, 1]]]], [[11, 1, 2, 1, 1], [2^(1/2) < v,
u < -v, x = -u^2+v^2-1, y < 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3
], [-4, -4], [-8, -8], [-1, -1], [-4, -4]]]], [[11, 1, 2, 1, 2], [2^(1/2) < v,
u < -v, x = -u^2+v^2-1, y < 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3
], [-4, -4], [-8, -8], [-1, -1], [-2965821/1048576, -11863283/4194304]]]], [[
11, 1, 2, 1, 3], [2^(1/2) < v, 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], [-4, -4], [-8, -8
], [-1, -1], [-3/8388608, -3/8388608]]]], [[11, 1, 2, 1, 4], [2^(1/2) < v, u <
-v, x = -u^2+v^2-1, y < 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
4, -4], [-8, -8], [-1, -1], [741455/262144, 2965821/1048576]]]], [[11, 1, 2, 1
, 5], [2^(1/2) < v, u < -v, x = -u^2+v^2-1, y < 0, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-4, -4], [-8, -8], [-1, -1], [4, 4]]]], [[11, 4, 7, 3
, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), 1 < x, And(-x < y,y < x), z < 0], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [2, 2], [0, 0],
[-1, -1]]]], [[11, 4, 7, 3, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), 1 < x, And(-
x < y,y < x), z = 0], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [2, 2], [0, 0], [0, 0]]]], [[11, 4, 7, 3, 3], [2^(1/2) < v, u = -(v^
2-1)^(1/2), 1 < x, And(-x < y,y < x), 0 < z], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [2, 2], [0, 0], [1, 1]]]], [[1, 13, 3, 4,
1], [v < -2^(1/2), -v < 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], [4, 4], [-9/2, -9/2], [7/2, 7/2]
, [-4, -4]]]], [[1, 13, 3, 4, 2], [v < -2^(1/2), -v < 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], [4
, 4], [-9/2, -9/2], [7/2, 7/2], [-2965821/1048576, -11863283/4194304]]]], [[1,
13, 3, 4, 3], [v < -2^(1/2), -v < 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], [4, 4], [-9/2, -9/2], [7/2, 7/2], [-3/8388608, -3/8388608]]]], [[1, 13, 3
, 4, 4], [v < -2^(1/2), -v < 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], [4, 4], [-9/2, -9/2], [7/2, 7
/2], [741455/262144, 2965821/1048576]]]], [[1, 13, 3, 4, 5], [v < -2^(1/2), -v
< 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], [4, 4], [-9/2, -9/2], [7/2, 7/2], [4, 4]]]], [[2, 4,
1, 4, 1], [v = -2^(1/2), u = -1, x < -1, y = -x, z < 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [-2, -2], [2, 2], [-1, -1]]]], [[2
, 4, 1, 4, 2], [v = -2^(1/2), u = -1, x < -1, y = -x, z = 0], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1, -1], [-2, -2], [2, 2], [0, 0]]]], [[
2, 4, 1, 4, 3], [v = -2^(1/2), u = -1, x < -1, y = -x, 0 < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1, -1], [-2, -2], [2, 2], [1, 1]]]], [[
3, 4, 3, 4, 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,
4, 3, 4, 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, 4,
3, 4, 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, 7, 7, 1,
1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y < -u^2+
v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [987341/1048576, 987341/1048576], [2, 2], [-4, -4], [-2, -2]]]], [[
3, 7, 7, 1, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 <
x, y < -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [-4, -4]
, [-1374407/2097152, -687203/1048576]]]], [[3, 7, 7, 1, 3], [And(-2^(1/2) < v,
v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y < -u^2+v^2-x-1, And(-(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], [-4, -4], [0, 0]]]
], [[3, 7, 7, 1, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v),
1 < x, y < -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [-4, -4]
, [687203/1048576, 171801/262144]]]], [[3, 7, 7, 1, 5], [And(-2^(1/2) < v,v <
-1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y < -u^2+v^2-x-1, (u^2-v^2+1)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576,
987341/1048576], [2, 2], [-4, -4], [2, 2]]]], [[6, 2, 1, 4, 1], [v = 0, u = 0,
x < -1, y = -1-x, z < -1], [regular_chain, [[0, 0], [0, 0], [-2, -2], [1, 1],
[-2, -2]]]], [[6, 2, 1, 4, 2], [v = 0, u = 0, x < -1, y = -1-x, z = -1], [
regular_chain, [[0, 0], [0, 0], [-2, -2], [1, 1], [-1, -1]]]], [[6, 2, 1, 4, 3
], [v = 0, u = 0, x < -1, y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[0, 0
], [0, 0], [-2, -2], [1, 1], [0, 0]]]], [[6, 2, 1, 4, 4], [v = 0, u = 0, x < -\
1, y = -1-x, z = 1], [regular_chain, [[0, 0], [0, 0], [-2, -2], [1, 1], [1, 1]
]]], [[6, 2, 1, 4, 5], [v = 0, u = 0, x < -1, y = -1-x, 1 < z], [regular_chain
, [[0, 0], [0, 0], [-2, -2], [1, 1], [2, 2]]]], [[7, 3, 2, 1, 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], [-2, -2], [-2, -2]]]], [[7, 3, 2
, 1, 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], [-2, -2], [-\
1816187/2097152, -3632373/4194304]]]], [[7, 3, 2, 1, 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], [-2, -2], [-1/
8388608, -1/8388608]]]], [[7, 3, 2, 1, 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], [-2, -2], [908093/1048576, 454047/524288]]]], [[7, 3, 2, 1, 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], [-2, -2], [2, 2]]]], [[
9, 2, 4, 3, 1], [And(1 < v,v < 2^(1/2)), u = -v, x = 1, And(-2 < y,y < 2), z <
-1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1, 1], [0, 0], [-2, -2]]]], [[9, 2, 4, 3, 2], [And(1 < v,v
< 2^(1/2)), u = -v, x = 1, And(-2 < y,y < 2), z = -1], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [1, 1
], [0, 0], [-1, -1]]]], [[9, 2, 4, 3, 3], [And(1 < v,v < 2^(1/2)), u = -v, x =
1, And(-2 < y,y < 2), And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [0, 0], [0, 0]
]]], [[9, 2, 4, 3, 4], [And(1 < v,v < 2^(1/2)), u = -v, x = 1, And(-2 < y,y <
2), z = 1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/
1048576, -1265743/1048576], [1, 1], [0, 0], [1, 1]]]], [[9, 2, 4, 3, 5], [And(
1 < v,v < 2^(1/2)), u = -v, x = 1, And(-2 < y,y < 2), 1 < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [1,
1], [0, 0], [2, 2]]]], [[9, 6, 2, 3, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^
(1/2), x = -1, And(-1 < y,y < 1), z < 0], [regular_chain, [[1265743/1048576, 
1265743/1048576], [354469/524288, 708939/1048576], [-1, -1], [0, 0], [-1, -1]]
]], [[9, 6, 2, 3, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -1, And(
-1 < y,y < 1), z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [
354469/524288, 708939/1048576], [-1, -1], [0, 0], [0, 0]]]], [[9, 6, 2, 3, 3],
[And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -1, And(-1 < y,y < 1), 0 < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-1, -1], [0, 0], [1, 1]]]], [[10, 2, 5, 4, 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, 2, 5, 4
, 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, 2, 5, 4, 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, 2, 5, 4, 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, 2, 5, 4, 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, 6, 3, 4, 1], [v = 2^(1/2), u = 0, 
And(-1 < x,x < 1), y = -x+1, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [0, 0], [0, 0], [1, 1], [0, 0]]]], [[11, 7, 1, 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+x+1, z = z], [
regular_chain, [[3, 3], [0, 0], [-2, -2], [-11, -11], [0, 0]]]], [[11, 10, 6,
3, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 1, And(-1 < y,y < 1), z < 0], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1, 1], [0, 0], [-1,
-1]]]], [[11, 10, 6, 3, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 1, And(-1 < y
,y < 1), z = 0], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1
, 1], [0, 0], [0, 0]]]], [[11, 10, 6, 3, 3], [2^(1/2) < v, u = (v^2-1)^(1/2),
x = 1, And(-1 < y,y < 1), 0 < z], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [1, 1], [0, 0], [1, 1]]]], [[1, 3, 7, 1, 1], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)
], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [2, 2], [-\
4, -4], [-2, -2]]]], [[1, 3, 7, 1, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), 1 < x, y < -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3,
-3], [-6111549/2097152, -6111549/2097152], [2, 2], [-4, -4], [-735979/1048576,
-1471957/2097152]]]], [[1, 3, 7, 1, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^
(1/2)), 1 < x, y < -u^2+v^2-x-1, And(-(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]
, [-4, -4], [-1/4194304, -1/4194304]]]], [[1, 3, 7, 1, 4], [v < -2^(1/2), And(
v < u,u < -(v^2-1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [2, 2], [-4, -\
4], [367989/524288, 735979/1048576]]]], [[1, 3, 7, 1, 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], [-4, -\
4], [2, 2]]]], [[1, 7, 5, 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]]]], [[2, 5, 7,
1, 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], [-3,
-3], [0, 0]]]], [[2, 9, 5, 3, 1], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1
< x,x < 1), And(-u^2-x+1 < y,y < u^2+x-1), z < -(u^2-1)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [
284633/1048576, 284633/1048576], [-1/4194304, -1/4194304], [-2, -2]]]], [[2, 9
, 5, 3, 2], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 1), And(-u^2-
x+1 < y,y < u^2+x-1), z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [1265743/1048576, 1265743/1048576], [284633/1048576, 284633/
1048576], [-1/4194304, -1/4194304], [-1417877/2097152, -354469/524288]]]], [[2
, 9, 5, 3, 3], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 1), And(-u
^2-x+1 < y,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], [284633/1048576, 284633/1048576], [-1/4194304, -1/4194304], [0, 0]]]
], [[2, 9, 5, 3, 4], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 1),
And(-u^2-x+1 < y,y < u^2+x-1), z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [284633/1048576,
284633/1048576], [-1/4194304, -1/4194304], [354469/524288, 708939/1048576]]]],
[[2, 9, 5, 3, 5], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 1), And
(-u^2-x+1 < y,y < u^2+x-1), (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [284633/1048576,
284633/1048576], [-1/4194304, -1/4194304], [2, 2]]]], [[4, 4, 5, 3, 1], [v = -\
1, u = 0, And(0 < x,x < 1), And(-x < y,y < x), z < 0], [regular_chain, [[-1, -\
1], [0, 0], [1/2, 1/2], [0, 0], [-1, -1]]]], [[4, 4, 5, 3, 2], [v = -1, u = 0,
And(0 < x,x < 1), And(-x < y,y < x), z = 0], [regular_chain, [[-1, -1], [0, 0]
, [1/2, 1/2], [0, 0], [0, 0]]]], [[4, 4, 5, 3, 3], [v = -1, u = 0, And(0 < x,x
< 1), And(-x < y,y < x), 0 < z], [regular_chain, [[-1, -1], [0, 0], [1/2, 1/2]
, [0, 0], [1, 1]]]], [[5, 1, 3, 5, 1], [And(-1 < v,v < 0), u < v, And(-u^2+v^2
-1 < x,x < -1), u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1
/2, -1/2], [-2, -2], [-23/8, -23/8], [3, 3], [-4, -4]]]], [[5, 1, 3, 5, 2], [
And(-1 < v,v < 0), u < v, And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, z = -(u
^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-2, -2], [-23/8, -23/8], [3,
3], [-2285319/1048576, -1142659/524288]]]], [[5, 1, 3, 5, 3], [And(-1 < v,v <
0), u < v, And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, And(-(u^2-v^2+1)^(1/2)
< z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-2, -2], [-23/8,
-23/8], [3, 3], [0, 0]]]], [[5, 1, 3, 5, 4], [And(-1 < v,v < 0), u < v, And(-u
^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-2, -2], [-23/8, -23/8], [3, 3], [1142659/524288, 2285319/
1048576]]]], [[5, 1, 3, 5, 5], [And(-1 < v,v < 0), u < v, And(-u^2+v^2-1 < x,x
< -1), u^2-v^2+x+1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2],
[-2, -2], [-23/8, -23/8], [3, 3], [4, 4]]]], [[7, 5, 2, 3, 1], [And(0 < v,v <
1), v < u, x = -u^2+v^2-1, 0 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1
/2, 1/2], [2, 2], [-19/4, -19/4], [1, 1], [-4, -4]]]], [[7, 5, 2, 3, 2], [And(
0 < v,v < 1), v < u, x = -u^2+v^2-1, 0 < y, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [2, 2], [-19/4, -19/4], [1, 1], [-2285319/1048576,
-1142659/524288]]]], [[7, 5, 2, 3, 3], [And(0 < v,v < 1), v < u, x = -u^2+v^2-\
1, 0 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain,
[[1/2, 1/2], [2, 2], [-19/4, -19/4], [1, 1], [0, 0]]]], [[7, 5, 2, 3, 4], [And
(0 < v,v < 1), v < u, x = -u^2+v^2-1, 0 < y, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [2, 2], [-19/4, -19/4], [1, 1], [1142659/524288, 
2285319/1048576]]]], [[7, 5, 2, 3, 5], [And(0 < v,v < 1), v < u, x = -u^2+v^2-\
1, 0 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [2, 2], [-19/4,
-19/4], [1, 1], [4, 4]]]], [[8, 3, 7, 5, 1], [v = 1, And(-1 < u,u < 0), 1 < x,
u^2+x < y, z < u], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [4, 4], [-2,
-2]]]], [[8, 3, 7, 5, 2], [v = 1, And(-1 < u,u < 0), 1 < x, u^2+x < y, z = u],
[regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [4, 4], [-1/2, -1/2]]]], [[8, 3
, 7, 5, 3], [v = 1, And(-1 < u,u < 0), 1 < x, u^2+x < y, And(u < z,z < -u)], [
regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [4, 4], [0, 0]]]], [[8, 3, 7, 5,
4], [v = 1, And(-1 < u,u < 0), 1 < x, u^2+x < y, z = -u], [regular_chain, [[1,
1], [-1/2, -1/2], [2, 2], [4, 4], [1/2, 1/2]]]], [[8, 3, 7, 5, 5], [v = 1, And
(-1 < u,u < 0), 1 < x, u^2+x < y, -u < z], [regular_chain, [[1, 1], [-1/2, -1/
2], [2, 2], [4, 4], [2, 2]]]], [[11, 1, 2, 2, 1], [2^(1/2) < v, u < -v, x = -u
^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [
-8, -8], [0, 0], [-4, -4]]]], [[11, 1, 2, 2, 2], [2^(1/2) < v, u < -v, x = -u^
2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [-\
8, -8], [0, 0], [-2965821/1048576, -11863283/4194304]]]], [[11, 1, 2, 2, 3], [
2^(1/2) < v, 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], [-4, -4], [-8, -8], [0, 0], [-3/
8388608, -3/8388608]]]], [[11, 1, 2, 2, 4], [2^(1/2) < v, u < -v, x = -u^2+v^2
-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-4, -4], [-8, -8]
, [0, 0], [741455/262144, 2965821/1048576]]]], [[11, 1, 2, 2, 5], [2^(1/2) < v
, u < -v, x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3,
3], [-4, -4], [-8, -8], [0, 0], [4, 4]]]], [[11, 4, 7, 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, 4, 7, 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, 4, 7
, 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]]]], [[1, 13, 3, 5, 1], [v < -2^(1/2), -v < u, And(-u^2+v^2-1 < x,x < -1
), u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4]
, [-9/2, -9/2], [5, 5], [-4, -4]]]], [[1, 13, 3, 5, 2], [v < -2^(1/2), -v < u,
And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [4, 4], [-9/2, -9/2], [5, 5], [-2965821/1048576, -\
11863283/4194304]]]], [[1, 13, 3, 5, 3], [v < -2^(1/2), -v < u, And(-u^2+v^2-1
< x,x < -1), u^2-v^2+x+1 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2)
)], [regular_chain, [[-3, -3], [4, 4], [-9/2, -9/2], [5, 5], [-3/8388608, -3/
8388608]]]], [[1, 13, 3, 5, 4], [v < -2^(1/2), -v < u, And(-u^2+v^2-1 < x,x <
-1), u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [4, 4
], [-9/2, -9/2], [5, 5], [741455/262144, 2965821/1048576]]]], [[1, 13, 3, 5, 5
], [v < -2^(1/2), -v < u, And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, (u^2-v^
2+1)^(1/2) < z], [regular_chain, [[-3, -3], [4, 4], [-9/2, -9/2], [5, 5], [4,
4]]]], [[2, 4, 1, 5, 1], [v = -2^(1/2), u = -1, x < -1, -x < y, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-2, -2], [3, 3]
, [-1, -1]]]], [[2, 4, 1, 5, 2], [v = -2^(1/2), u = -1, x < -1, -x < y, z = 0]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-2, -2], [3,
3], [0, 0]]]], [[2, 4, 1, 5, 3], [v = -2^(1/2), u = -1, x < -1, -x < y, 0 < z]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-2, -2], [3,
3], [1, 1]]]], [[3, 4, 3, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2)
, And(-1 < x,x < 0), And(x < y,y < -x), z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-1/2, -1/2],
[0, 0], [-1, -1]]]], [[3, 4, 3, 3, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)
^(1/2), And(-1 < x,x < 0), And(x < y,y < -x), z = 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-1/2,
-1/2], [0, 0], [0, 0]]]], [[3, 4, 3, 3, 3], [And(-2^(1/2) < v,v < -1), u = -(v
^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < -x), 0 < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-1/2,
-1/2], [0, 0], [1, 1]]]], [[3, 7, 6, 5, 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 < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [1, 1], [3, 3], [-2, -2]]]], [[3, 7, 6, 5, 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 = -(u^2-v^2+1)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [1, 1], [3, 3], [-1374407/2097152, -687203/1048576]]]], [[3,
7, 6, 5, 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(-(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], [3, 3], [0, 0]]]], [[3, 7, 6, 5, 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 = (u^2-v^2+1)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [1, 1], [3, 3], [687203/1048576, 171801/262144]]]], [[3, 7, 6
, 5, 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, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [3, 3], [2, 2]]]],
[[6, 2, 1, 5, 1], [v = 0, u = 0, x < -1, -1-x < y, z < -1], [regular_chain, [[
0, 0], [0, 0], [-2, -2], [2, 2], [-2, -2]]]], [[6, 2, 1, 5, 2], [v = 0, u = 0,
x < -1, -1-x < y, z = -1], [regular_chain, [[0, 0], [0, 0], [-2, -2], [2, 2],
[-1, -1]]]], [[6, 2, 1, 5, 3], [v = 0, u = 0, x < -1, -1-x < y, And(-1 < z,z <
1)], [regular_chain, [[0, 0], [0, 0], [-2, -2], [2, 2], [0, 0]]]], [[6, 2, 1,
5, 4], [v = 0, u = 0, x < -1, -1-x < y, z = 1], [regular_chain, [[0, 0], [0, 0
], [-2, -2], [2, 2], [1, 1]]]], [[6, 2, 1, 5, 5], [v = 0, u = 0, x < -1, -1-x
< y, 1 < z], [regular_chain, [[0, 0], [0, 0], [-2, -2], [2, 2], [2, 2]]]], [[7
, 3, 2, 2, 1], [And(0 < v,v < 1), And(-v < u,u < v), x = -1, y = u^2-v^2, z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [-1/4, -1/
4], [-2, -2]]]], [[7, 3, 2, 2, 2], [And(0 < v,v < 1), And(-v < u,u < v), x = -\
1, y = u^2-v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0],
[-1, -1], [-1/4, -1/4], [-1816187/2097152, -3632373/4194304]]]], [[7, 3, 2, 2,
3], [And(0 < v,v < 1), And(-v < u,u < v), x = -1, y = u^2-v^2, And(-(u^2-v^2+1
)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [-1,
-1], [-1/4, -1/4], [-1/8388608, -1/8388608]]]], [[7, 3, 2, 2, 4], [And(0 < v,v
< 1), And(-v < u,u < v), x = -1, y = u^2-v^2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [-1/4, -1/4], [908093/1048576, 
454047/524288]]]], [[7, 3, 2, 2, 5], [And(0 < v,v < 1), And(-v < u,u < v), x =
-1, y = u^2-v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0],
[-1, -1], [-1/4, -1/4], [2, 2]]]], [[9, 2, 4, 2, 1], [And(1 < v,v < 2^(1/2)),
u = -v, x = 1, y = -2, z < -1], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [-2, -2], [-2, -2]]]],
[[9, 2, 4, 2, 2], [And(1 < v,v < 2^(1/2)), u = -v, x = 1, y = -2, z = -1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-2, -2], [-1, -1]]]], [[9, 2, 4, 2, 3], [And(1 < v,
v < 2^(1/2)), u = -v, x = 1, y = -2, And(-1 < z,z < 1)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [1, 1
], [-2, -2], [0, 0]]]], [[9, 2, 4, 2, 4], [And(1 < v,v < 2^(1/2)), u = -v, x =
1, y = -2, z = 1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [1, 1], [-2, -2], [1, 1]]]], [[9, 2, 4, 2,
5], [And(1 < v,v < 2^(1/2)), u = -v, x = 1, y = -2, 1 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [1, 1
], [-2, -2], [2, 2]]]], [[9, 6, 2, 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, 6, 2, 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, 6, 2, 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]]]], [[10, 2, 5, 5, 1], [v = 2^(1/2), u = -v, 1 < x, x+1 < y,
z < -1], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576,
-741455/524288], [2, 2], [4, 4], [-2, -2]]]], [[10, 2, 5, 5, 2], [v = 2^(1/2),
u = -v, 1 < x, x+1 < y, z = -1], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [2, 2], [4, 4], [-1, -1]]]], [[
10, 2, 5, 5, 3], [v = 2^(1/2), u = -v, 1 < x, x+1 < y, And(-1 < z,z < 1)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [2, 2], [4, 4], [0, 0]]]], [[10, 2, 5, 5, 4], [v = 2^(1/2), u = -v, 1
< x, x+1 < y, z = 1], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [2, 2], [4, 4], [1, 1]]]], [[10, 2, 5, 5, 5]
, [v = 2^(1/2), u = -v, 1 < x, x+1 < y, 1 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [2, 2], [4, 4],
[2, 2]]]], [[10, 6, 3, 5, 1], [v = 2^(1/2), u = 0, And(-1 < x,x < 1), -x+1 < y
, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [0, 0], [
2, 2], [0, 0]]]], [[11, 6, 5, 5, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), 1 < x,
x-1 < y, z = z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576]
, [2, 2], [2, 2], [0, 0]]]], [[11, 10, 6, 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, 10, 6, 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, 10, 6, 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]]]], [[1, 4, 5, 2, 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, 4, 5, 2, 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, 4, 5, 2, 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, 9, 5, 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 < u^2-v^2+x+1), z = z], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1581613/2097152,
1581613/2097152], [0, 0], [0, 0]]]], [[2, 6, 1, 4, 1], [v = -2^(1/2), u = 0, x
< -1, y = -x+1, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [
0, 0], [-2, -2], [3, 3], [0, 0]]]], [[2, 11, 1, 5, 1], [v = -2^(1/2), -v < u,
x < -u^2+1, -u^2-x+1 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [-9, -9], [2, 2], [-4, -4]]]], [[2, 11, 1, 5
, 2], [v = -2^(1/2), -v < u, x < -u^2+1, -u^2-x+1 < y, z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9, -9], [2, 2],
[-2965821/1048576, -11863283/4194304]]]], [[2, 11, 1, 5, 3], [v = -2^(1/2), -v
< u, x < -u^2+1, -u^2-x+1 < y, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9, -9], [2, 2],
[-3/8388608, -3/8388608]]]], [[2, 11, 1, 5, 4], [v = -2^(1/2), -v < u, x < -u^
2+1, -u^2-x+1 < y, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [-9, -9], [2, 2], [741455/262144, 2965821/1048576]]]],
[[2, 11, 1, 5, 5], [v = -2^(1/2), -v < u, x < -u^2+1, -u^2-x+1 < y, (u^2-1)^(1
/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9, -9
], [2, 2], [4, 4]]]], [[4, 5, 3, 2, 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, 5, 3, 2, 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, 5, 3, 2, 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, 5, 3, 2, 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, 5, 3, 2, 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]]]], [[5, 3, 3, 3, 1], [And(-1 < v,v < 0), And(v < u,u < -v), And(
-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -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], [0, 0], [-2, -2
]]]], [[5, 3, 3, 3, 2], [And(-1 < v,v < 0), And(v < u,u < -v), And(-1 < x,x <
-u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -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], [0, 0], [-1816187/2097152,
-3632373/4194304]]]], [[5, 3, 3, 3, 3], [And(-1 < v,v < 0), And(v < u,u < -v),
And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -u^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], [0, 0], [-1/8388608, -1/8388608]]]], [[5, 3, 3, 3, 4], [And(-1
< v,v < 0), And(v < u,u < -v), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y
,y < -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], [0, 0], [908093/1048576, 454047/524288]]]], [[5, 3, 3, 3, 5]
, [And(-1 < v,v < 0), And(v < u,u < -v), And(-1 < x,x < -u^2+v^2-1), And(u^2-v
^2+x+1 < y,y < -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], [0, 0], [2, 2]]]], [[7, 5, 4, 3, 1], [And(0 < v,v
< 1), v < u, x = -1, And(-u^2+v^2 < y,y < u^2-v^2), z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [2, 2], [-1, -1], [0, 0], [-4, -4]]]], [[7, 5, 4,
3, 2], [And(0 < v,v < 1), v < u, x = -1, And(-u^2+v^2 < y,y < u^2-v^2), z = -(
u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [-1, -1], [0, 0], [-\
2285319/1048576, -1142659/524288]]]], [[7, 5, 4, 3, 3], [And(0 < v,v < 1), v <
u, x = -1, And(-u^2+v^2 < y,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], [2, 2], [-1, -1], [0, 0], [0, 0]]
]], [[7, 5, 4, 3, 4], [And(0 < v,v < 1), v < u, x = -1, And(-u^2+v^2 < y,y < u
^2-v^2), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [-1, -1]
, [0, 0], [1142659/524288, 2285319/1048576]]]], [[7, 5, 4, 3, 5], [And(0 < v,v
< 1), v < u, x = -1, And(-u^2+v^2 < y,y < u^2-v^2), (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [2, 2], [-1, -1], [0, 0], [4, 4]]]], [[8, 5, 2, 2,
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, 5, 2, 2, 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, 5, 2, 2, 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, 5, 2, 2, 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, 5, 2, 2, 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]]]], [[10, 10, 5, 5, 1], [v = 2^(1/2), u = v, 1 < x, x+1 < y,
z < -1], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 
1482911/1048576], [2, 2], [4, 4], [-2, -2]]]], [[10, 10, 5, 5, 2], [v = 2^(1/2
), u = v, 1 < x, x+1 < y, z = -1], [regular_chain, [[741455/524288, 1482911/
1048576], [741455/524288, 1482911/1048576], [2, 2], [4, 4], [-1, -1]]]], [[10,
10, 5, 5, 3], [v = 2^(1/2), u = v, 1 < x, x+1 < y, And(-1 < z,z < 1)], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [2, 2], [4, 4], [0, 0]]]], [[10, 10, 5, 5, 4], [v = 2^(1/2), u = v,
1 < x, x+1 < y, z = 1], [regular_chain, [[741455/524288, 1482911/1048576], [
741455/524288, 1482911/1048576], [2, 2], [4, 4], [1, 1]]]], [[10, 10, 5, 5, 5]
, [v = 2^(1/2), u = v, 1 < x, x+1 < y, 1 < z], [regular_chain, [[741455/524288
, 1482911/1048576], [741455/524288, 1482911/1048576], [2, 2], [4, 4], [2, 2]]]
], [[11, 4, 6, 1, 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], [-2, -\
2], [-1, -1]]]], [[11, 4, 6, 1, 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], [-2, -2], [0, 0]]]], [[11, 4, 6, 1, 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], [-2, -2], [1, 1]]]], [[1, 11, 7, 1, 1], [v < -2^(1/
2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y < -u^2+v^2-x-1, z < -(u^2-v^2+1)^(
1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [2, 2],
[-4, -4], [-2, -2]]]], [[1, 11, 7, 1, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u
,u < -v), 1 < x, y < -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[
-3, -3], [6111549/2097152, 6111549/2097152], [2, 2], [-4, -4], [-735979/
1048576, -1471957/2097152]]]], [[1, 11, 7, 1, 3], [v < -2^(1/2), And((v^2-1)^(
1/2) < u,u < -v), 1 < x, y < -u^2+v^2-x-1, And(-(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], [-4, -4], [-1/4194304, -1/4194304]]]], [[1, 11, 7, 1, 4], [v < -2^(1
/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y < -u^2+v^2-x-1, z = (u^2-v^2+1)^(
1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [2, 2],
[-4, -4], [367989/524288, 735979/1048576]]]], [[1, 11, 7, 1, 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], [-4
, -4], [2, 2]]]], [[2, 3, 7, 2, 1], [v = -2^(1/2), And(v < u,u < -1), 1 < x, y
= -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [2, 2], [-2576463/1048576, -\
1288231/524288], [-2, -2]]]], [[2, 3, 7, 2, 2], [v = -2^(1/2), And(v < u,u < -\
1), 1 < x, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [2, 2], [-\
2576463/1048576, -1288231/524288], [-1417877/2097152, -354469/524288]]]], [[2,
3, 7, 2, 3], [v = -2^(1/2), And(v < u,u < -1), 1 < x, y = -u^2-x+1, And(-(u^2-\
1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [2, 2], [-2576463/1048576, -\
1288231/524288], [0, 0]]]], [[2, 3, 7, 2, 4], [v = -2^(1/2), And(v < u,u < -1)
, 1 < x, y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1265743/1048576, -1265743/1048576], [2, 2], [-2576463/
1048576, -1288231/524288], [354469/524288, 708939/1048576]]]], [[2, 3, 7, 2, 5
], [v = -2^(1/2), And(v < u,u < -1), 1 < x, y = -u^2-x+1, (u^2-1)^(1/2) < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-2576463/1048576, -1288231/524288], [2, 2]]]], [[3,
2, 3, 5, 1], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 1), x+1 < y, z <
-1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576,
-1265743/1048576], [0, 0], [2, 2], [-2, -2]]]], [[3, 2, 3, 5, 2], [And(-2^(1/2
) < v,v < -1), u = v, And(-1 < x,x < 1), x+1 < y, z = -1], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [0,
0], [2, 2], [-1, -1]]]], [[3, 2, 3, 5, 3], [And(-2^(1/2) < v,v < -1), u = v, 
And(-1 < x,x < 1), x+1 < y, And(-1 < z,z < 1)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [2,
2], [0, 0]]]], [[3, 2, 3, 5, 4], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,
x < 1), x+1 < y, z = 1], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-1265743/1048576, -1265743/1048576], [0, 0], [2, 2], [1, 1]]]], [[3, 2, 3,
5, 5], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 1), x+1 < y, 1 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [2, 2], [2, 2]]]], [[3, 7, 1, 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-x-1, z < -(u^2-
v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-2, -2], [411695/262144, 1646781/1048576], [-2, -2]
]]], [[3, 7, 1, 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-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-2, -2]
, [411695/262144, 1646781/1048576], [-1374407/2097152, -687203/1048576]]]], [[
3, 7, 1, 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-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], [411695/262144, 1646781/1048576], [0, 0]]]], [[3, 7, 1, 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-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [987341/1048576, 987341/1048576], [-2, -2], [411695/262144, 1646781
/1048576], [687203/1048576, 171801/262144]]]], [[3, 7, 1, 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-x-1, (u^2-v^2
+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341
/1048576, 987341/1048576], [-2, -2], [411695/262144, 1646781/1048576], [2, 2]]
]], [[5, 5, 7, 3, 1], [And(-1 < v,v < 0), -v < u, 1 < x, And(-u^2+v^2-x-1 < y,
y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2,
2], [2, 2], [0, 0], [-4, -4]]]], [[5, 5, 7, 3, 2], [And(-1 < v,v < 0), -v < u,
1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [2, 2], [2, 2], [0, 0], [-2285319/1048576, -\
1142659/524288]]]], [[5, 5, 7, 3, 3], [And(-1 < v,v < 0), -v < u, 1 < x, And(-
u^2+v^2-x-1 < y,y < u^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], [2, 2], [2, 2], [0, 0], [0, 0]]]], [[5,
5, 7, 3, 4], [And(-1 < v,v < 0), -v < u, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v
^2+x+1), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [2, 2]
, [0, 0], [1142659/524288, 2285319/1048576]]]], [[5, 5, 7, 3, 5], [And(-1 < v,
v < 0), -v < u, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2
) < z], [regular_chain, [[-1/2, -1/2], [2, 2], [2, 2], [0, 0], [4, 4]]]], [[7,
2, 5, 4, 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, 2,
5, 4, 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, 2, 5, 4, 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, 2, 5, 4, 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, 2, 5, 4, 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]]]], [[8, 7, 6, 2, 1], [v = 1, 1 < u, x = 1, y = -u^2-1, z < -u], [
regular_chain, [[1, 1], [2, 2], [1, 1], [-5, -5], [-3, -3]]]], [[8, 7, 6, 2, 2
], [v = 1, 1 < u, x = 1, y = -u^2-1, z = -u], [regular_chain, [[1, 1], [2, 2],
[1, 1], [-5, -5], [-2, -2]]]], [[8, 7, 6, 2, 3], [v = 1, 1 < u, x = 1, y = -u^
2-1, And(-u < z,z < u)], [regular_chain, [[1, 1], [2, 2], [1, 1], [-5, -5], [0
, 0]]]], [[8, 7, 6, 2, 4], [v = 1, 1 < u, x = 1, y = -u^2-1, z = u], [
regular_chain, [[1, 1], [2, 2], [1, 1], [-5, -5], [2, 2]]]], [[8, 7, 6, 2, 5],
[v = 1, 1 < u, x = 1, y = -u^2-1, u < z], [regular_chain, [[1, 1], [2, 2], [1,
1], [-5, -5], [3, 3]]]], [[9, 5, 4, 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]]]], [[10, 3, 6, 1, 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], [-3, -3], [-2, -2]]]],
[[10, 3, 6, 1, 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], [-3, -3], [-1417877/2097152, -354469/
524288]]]], [[10, 3, 6, 1, 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], [-3, -\
3], [0, 0]]]], [[10, 3, 6, 1, 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], [-3, -3], [354469/524288, 708939/
1048576]]]], [[10, 3, 6, 1, 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], [-3, -3], [2, 2]]]], [[10, 8, 3, 5
, 1], [v = 2^(1/2), u = 1, And(-1 < x,x < 0), -x < y, z < 0], [regular_chain,
[[741455/524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [2, 2], [-1, -1]]]],
[[10, 8, 3, 5, 2], [v = 2^(1/2), u = 1, And(-1 < x,x < 0), -x < y, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [2, 2]
, [0, 0]]]], [[10, 8, 3, 5, 3], [v = 2^(1/2), u = 1, And(-1 < x,x < 0), -x < y
, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1/2, -1
/2], [2, 2], [1, 1]]]], [[11, 7, 2, 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 < -u^2+v^2), z = z], [
regular_chain, [[3, 3], [0, 0], [-1, -1], [0, 0], [0, 0]]]], [[11, 11, 7, 4, 1
], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, y = u^2-v^2+x+1, z < -(u
^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152],
[2, 2], [2613723/1048576, 653431/262144], [-2, -2]]]], [[11, 11, 7, 4, 2], [2^
(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, y = u^2-v^2+x+1, z = -(u^2-v^2
+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [2, 2
], [2613723/1048576, 653431/262144], [-735979/1048576, -1471957/2097152]]]], [
[11, 11, 7, 4, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, y = u^2-
v^2+x+1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [
[3, 3], [6111549/2097152, 6111549/2097152], [2, 2], [2613723/1048576, 653431/
262144], [-1/4194304, -1/4194304]]]], [[11, 11, 7, 4, 4], [2^(1/2) < v, And((v
^2-1)^(1/2) < u,u < v), 1 < x, y = u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [2, 2], [2613723/
1048576, 653431/262144], [367989/524288, 735979/1048576]]]], [[11, 11, 7, 4, 5
], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, y = u^2-v^2+x+1, (u^2-v^
2+1)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152],
[2, 2], [2613723/1048576, 653431/262144], [2, 2]]]], [[1, 4, 5, 1, 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], [-2, -2], [-1, -\
1]]]], [[1, 4, 5, 1, 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], [-2, -2], [0, 0]]]], [[1, 4, 5, 1, 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], [-2, -2], [1, 1]]]], [[1, 9
, 5, 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], [1581613/2097152, 1581613/2097152], [-257771/
1048576, -128885/524288], [0, 0]]]], [[2, 6, 1, 5, 1], [v = -2^(1/2), u = 0, x
< -1, -x+1 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [
0, 0], [-2, -2], [4, 4], [0, 0]]]], [[2, 11, 2, 1, 1], [v = -2^(1/2), -v < u,
x = -u^2+1, y < 0, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [-8, -8], [-1, -1], [-4, -4]]]], [[2, 11, 2, 1, 2], [v
= -2^(1/2), -v < u, x = -u^2+1, y < 0, z = -(u^2-1)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [3, 3], [-8, -8], [-1, -1], [-2965821/
1048576, -11863283/4194304]]]], [[2, 11, 2, 1, 3], [v = -2^(1/2), -v < 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], [-1, -1], [-3/8388608, -3/
8388608]]]], [[2, 11, 2, 1, 4], [v = -2^(1/2), -v < u, x = -u^2+1, y < 0, z =
(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [
-8, -8], [-1, -1], [741455/262144, 2965821/1048576]]]], [[2, 11, 2, 1, 5], [v
= -2^(1/2), -v < u, x = -u^2+1, y < 0, (u^2-1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [-8, -8], [-1, -1], [4, 4]]]], [[4,
5, 3, 1, 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], [-2, -2], [-2, -2]]]]
, [[4, 5, 3, 1, 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], [-2, -2], [-1/
2, -1/2]]]], [[4, 5, 3, 1, 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], [-2, -2], [0, 0]]]], [[4, 5, 3, 1, 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], [-2, -2], [1/2, 1/2]]]], [[4, 5, 3, 1, 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], [-2, -2], [2, 2]]]], [[5, 3, 3, 2, 1], [And(-1 < v,v < 0),
And(v < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1, z < -(u^2-v^2+
1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [-1/8, -1/8],
[-2, -2]]]], [[5, 3, 3, 2, 2], [And(-1 < v,v < 0), And(v < u,u < -v), And(-1 <
x,x < -u^2+v^2-1), y = u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [
[-1/2, -1/2], [0, 0], [-7/8, -7/8], [-1/8, -1/8], [-1816187/2097152, -3632373/
4194304]]]], [[5, 3, 3, 2, 3], [And(-1 < v,v < 0), And(v < u,u < -v), And(-1 <
x,x < -u^2+v^2-1), y = u^2-v^2+x+1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)
^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [-1/8, -1/8], [
-1/8388608, -1/8388608]]]], [[5, 3, 3, 2, 4], [And(-1 < v,v < 0), And(v < u,u
< -v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [-1/8, -1/8], [908093/
1048576, 454047/524288]]]], [[5, 3, 3, 2, 5], [And(-1 < v,v < 0), And(v < u,u
< -v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [-1/8, -1/8], [2, 2]]]], [
[7, 5, 4, 4, 1], [And(0 < v,v < 1), v < u, x = -1, y = u^2-v^2, z < -(u^2-v^2+
1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [-1, -1], [15/4, 15/4], [-4, -\
4]]]], [[7, 5, 4, 4, 2], [And(0 < v,v < 1), v < u, x = -1, y = u^2-v^2, z = -(
u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [-1, -1], [15/4, 15/4]
, [-2285319/1048576, -1142659/524288]]]], [[7, 5, 4, 4, 3], [And(0 < v,v < 1),
v < 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], [2, 2], [-1, -1], [15/4, 15/4], [0, 0]]]], [[7,
5, 4, 4, 4], [And(0 < v,v < 1), v < u, x = -1, y = u^2-v^2, z = (u^2-v^2+1)^(1
/2)], [regular_chain, [[1/2, 1/2], [2, 2], [-1, -1], [15/4, 15/4], [1142659/
524288, 2285319/1048576]]]], [[7, 5, 4, 4, 5], [And(0 < v,v < 1), v < u, x = -\
1, y = u^2-v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [2, 2], [
-1, -1], [15/4, 15/4], [4, 4]]]], [[8, 5, 2, 3, 1], [v = 1, And(0 < u,u < 1),
x = -1, And(u^2-1 < y,y < -u^2+1), z < -u], [regular_chain, [[1, 1], [1/2, 1/2
], [-1, -1], [0, 0], [-2, -2]]]], [[8, 5, 2, 3, 2], [v = 1, And(0 < u,u < 1),
x = -1, And(u^2-1 < y,y < -u^2+1), z = -u], [regular_chain, [[1, 1], [1/2, 1/2
], [-1, -1], [0, 0], [-1/2, -1/2]]]], [[8, 5, 2, 3, 3], [v = 1, And(0 < u,u <
1), x = -1, And(u^2-1 < y,y < -u^2+1), And(-u < z,z < u)], [regular_chain, [[1
, 1], [1/2, 1/2], [-1, -1], [0, 0], [0, 0]]]], [[8, 5, 2, 3, 4], [v = 1, And(0
< u,u < 1), x = -1, And(u^2-1 < y,y < -u^2+1), z = u], [regular_chain, [[1, 1]
, [1/2, 1/2], [-1, -1], [0, 0], [1/2, 1/2]]]], [[8, 5, 2, 3, 5], [v = 1, And(0
< u,u < 1), x = -1, And(u^2-1 < y,y < -u^2+1), u < z], [regular_chain, [[1, 1]
, [1/2, 1/2], [-1, -1], [0, 0], [2, 2]]]], [[10, 10, 5, 4, 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, 10, 5,
4, 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, 10, 5, 4, 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, 10, 5, 4, 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, 
10, 5, 4, 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]]]], [[11, 4, 5, 5, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(0 < x,
x < 1), x < y, z < 0], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [1/2, 1/2], [2, 2], [-1, -1]]]], [[11, 4, 5, 5, 2], [2^(1/2) < v, u
= -(v^2-1)^(1/2), And(0 < x,x < 1), x < y, z = 0], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [1/2, 1/2], [2, 2], [0, 0]]]], [[11, 4, 5
, 5, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(0 < x,x < 1), x < y, 0 < z], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [1/2, 1/2], [2,
2], [1, 1]]]], [[1, 11, 6, 5, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v)
, x = 1, u^2-v^2+2 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [1, 1], [3, 3], [-2, -2]]]], [[1, 11, 6, 5,
2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 1, u^2-v^2+2 < y, z = -(
u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [1, 1], [3, 3], [-735979/1048576, -1471957/2097152]]]], [[1, 11, 6,
5, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 1, u^2-v^2+2 < y, 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], [3, 3], [-1/4194304, -1/4194304]]]]
, [[1, 11, 6, 5, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 1, u^2-
v^2+2 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152
, 6111549/2097152], [1, 1], [3, 3], [367989/524288, 735979/1048576]]]], [[1, 
11, 6, 5, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 1, u^2-v^2+2 <
y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [1, 1], [3, 3], [2, 2]]]], [[2, 3, 7, 1, 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], [-4, -4], [-2, -2]]]], [[2, 3, 7, 1, 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], [-4, -4], [-\
1417877/2097152, -354469/524288]]]], [[2, 3, 7, 1, 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], [-4, -4], [0, 0]]]], [[2, 3, 7, 1, 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], [-4, -4], [354469/524288, 708939/1048576]]]], [[2, 3, 7, 1, 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], [-4, -4], [2, 2]]]], [[3, 2, 4, 1, 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], [-3, -3], [
-2, -2]]]], [[3, 2, 4, 1, 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], [-3, -3], [-1, -1]]]], [[3, 2, 4, 1, 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], [-3, -3], [0, 0]]]], [[3, 2, 4, 1, 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], [-3, -3], [1,
1]]]], [[3, 2, 4, 1, 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], [-3, -3], [2, 2]]]], [[3, 7, 1, 5, 1], [And(-2^(1/2
) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x < -1, -u^2+v^2-x-1 < y, z < -(
u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-2, -2], [3, 3], [-2, -2]]]], [[3, 7, 1, 5,
2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x < -1, -u^2+v^2
-x-1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-2, -2], [3, 3], [-\
1374407/2097152, -687203/1048576]]]], [[3, 7, 1, 5, 3], [And(-2^(1/2) < v,v <
-1), And((v^2-1)^(1/2) < u,u < -v), x < -1, -u^2+v^2-x-1 < y, 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], [3, 3], [0, 0]]]
], [[3, 7, 1, 5, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v),
x < -1, -u^2+v^2-x-1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-2, -2], [3, 3]
, [687203/1048576, 171801/262144]]]], [[3, 7, 1, 5, 5], [And(-2^(1/2) < v,v <
-1), And((v^2-1)^(1/2) < u,u < -v), x < -1, -u^2+v^2-x-1 < y, (u^2-v^2+1)^(1/2
) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576
, 987341/1048576], [-2, -2], [3, 3], [2, 2]]]], [[5, 5, 7, 2, 1], [And(-1 < v,
v < 0), -v < u, 1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [2, 2], [2, 2], [-27/4, -27/4], [-4, -4]]]], [[5
, 5, 7, 2, 2], [And(-1 < v,v < 0), -v < u, 1 < x, y = -u^2+v^2-x-1, z = -(u^2-
v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [2, 2], [-27/4, -27/4],
[-2285319/1048576, -1142659/524288]]]], [[5, 5, 7, 2, 3], [And(-1 < v,v < 0),
-v < u, 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], [2, 2], [2, 2], [-27/4, -27/4], [0, 0]]]
], [[5, 5, 7, 2, 4], [And(-1 < v,v < 0), -v < u, 1 < x, y = -u^2+v^2-x-1, z =
(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [2, 2], [-27/4, -27
/4], [1142659/524288, 2285319/1048576]]]], [[5, 5, 7, 2, 5], [And(-1 < v,v < 0
), -v < u, 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
-1/2, -1/2], [2, 2], [2, 2], [-27/4, -27/4], [4, 4]]]], [[7, 2, 5, 3, 1], [And
(0 < v,v < 1), u = -v, 1 < x, And(-1-x < y,y < x+1), z < -1], [regular_chain,
[[1/2, 1/2], [-1/2, -1/2], [2, 2], [0, 0], [-2, -2]]]], [[7, 2, 5, 3, 2], [And
(0 < v,v < 1), u = -v, 1 < x, And(-1-x < y,y < x+1), z = -1], [regular_chain,
[[1/2, 1/2], [-1/2, -1/2], [2, 2], [0, 0], [-1, -1]]]], [[7, 2, 5, 3, 3], [And
(0 < v,v < 1), u = -v, 1 < x, And(-1-x < y,y < x+1), And(-1 < z,z < 1)], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2], [0, 0], [0, 0]]]], [[7, 2, 5
, 3, 4], [And(0 < v,v < 1), u = -v, 1 < x, And(-1-x < y,y < x+1), z = 1], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2], [0, 0], [1, 1]]]], [[7, 2, 5
, 3, 5], [And(0 < v,v < 1), u = -v, 1 < x, And(-1-x < y,y < x+1), 1 < z], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2], [0, 0], [2, 2]]]], [[8, 7, 6
, 3, 1], [v = 1, 1 < u, x = 1, And(-u^2-1 < y,y < u^2+1), z < -u], [
regular_chain, [[1, 1], [2, 2], [1, 1], [0, 0], [-3, -3]]]], [[8, 7, 6, 3, 2],
[v = 1, 1 < u, x = 1, And(-u^2-1 < y,y < u^2+1), z = -u], [regular_chain, [[1,
1], [2, 2], [1, 1], [0, 0], [-2, -2]]]], [[8, 7, 6, 3, 3], [v = 1, 1 < u, x =
1, And(-u^2-1 < y,y < u^2+1), And(-u < z,z < u)], [regular_chain, [[1, 1], [2,
2], [1, 1], [0, 0], [0, 0]]]], [[8, 7, 6, 3, 4], [v = 1, 1 < u, x = 1, And(-u^
2-1 < y,y < u^2+1), z = u], [regular_chain, [[1, 1], [2, 2], [1, 1], [0, 0], [
2, 2]]]], [[8, 7, 6, 3, 5], [v = 1, 1 < u, x = 1, And(-u^2-1 < y,y < u^2+1), u
< z], [regular_chain, [[1, 1], [2, 2], [1, 1], [0, 0], [3, 3]]]], [[9, 5, 4, 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]]]], [[10, 3, 5, 5, 1
], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 1), u^2+x-1 < y, z < -
(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [284633/1048576, 284633/1048576], [2, 2], [-2, -2]
]]], [[10, 3, 5, 5, 2], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 1
), u^2+x-1 < y, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [284633/1048576, 284633/
1048576], [2, 2], [-1417877/2097152, -354469/524288]]]], [[10, 3, 5, 5, 3], [v
= 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 1), u^2+x-1 < y, And(-(u^2-1
)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [284633/1048576, 284633/
1048576], [2, 2], [0, 0]]]], [[10, 3, 5, 5, 4], [v = 2^(1/2), And(-v < u,u < -\
1), And(-u^2+1 < x,x < 1), u^2+x-1 < y, z = (u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [284633
/1048576, 284633/1048576], [2, 2], [354469/524288, 708939/1048576]]]], [[10, 3
, 5, 5, 5], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 1), u^2+x-1 <
y, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [284633/1048576, 284633/1048576], [2, 2],
[2, 2]]]], [[10, 8, 3, 4, 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, 3, 4, 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, 3, 4, 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]]]], [[11, 7, 2, 4,
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, 11, 7, 5, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, u^2-v^2+x
+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [2, 2], [4, 4], [-2, -2]]]], [[11, 11, 7, 5, 2], [2^(1/2) <
v, And((v^2-1)^(1/2) < u,u < v), 1 < x, u^2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1/2
)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [2, 2], [4, 4
], [-735979/1048576, -1471957/2097152]]]], [[11, 11, 7, 5, 3], [2^(1/2) < v, 
And((v^2-1)^(1/2) < u,u < v), 1 < x, u^2-v^2+x+1 < y, 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], [4, 4], [-1/4194304, -1/4194304]]]], [[11, 11, 7, 5, 4], [2^
(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, u^2-v^2+x+1 < y, z = (u^2-v^2+
1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [2, 2]
, [4, 4], [367989/524288, 735979/1048576]]]], [[11, 11, 7, 5, 5], [2^(1/2) < v
, And((v^2-1)^(1/2) < u,u < v), 1 < x, u^2-v^2+x+1 < y, (u^2-v^2+1)^(1/2) < z]
, [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [2, 2], [4, 4],
[2, 2]]]], [[1, 4, 5, 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, 4, 5, 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, 4, 5, 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, 9, 5, 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], [1581613/
2097152, 1581613/2097152], [-2, -2], [0, 0]]]], [[2, 6, 2, 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, 1, 3, 1], [v = -2^(1/
2), -v < u, x < -u^2+1, And(u^2+x-1 < y,y < -u^2-x+1), z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9, -9], [0, 0],
[-4, -4]]]], [[2, 11, 1, 3, 2], [v = -2^(1/2), -v < u, x < -u^2+1, And(u^2+x-1
< y,y < -u^2-x+1), z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [-9, -9], [0, 0], [-2965821/1048576, -11863283/4194304
]]]], [[2, 11, 1, 3, 3], [v = -2^(1/2), -v < u, x < -u^2+1, And(u^2+x-1 < y,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], [0, 0], [-3/8388608, -3/
8388608]]]], [[2, 11, 1, 3, 4], [v = -2^(1/2), -v < u, x < -u^2+1, And(u^2+x-1
< y,y < -u^2-x+1), z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [-9, -9], [0, 0], [741455/262144, 2965821/1048576]]]],
[[2, 11, 1, 3, 5], [v = -2^(1/2), -v < u, x < -u^2+1, And(u^2+x-1 < y,y < -u^2
-x+1), (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [3, 3], [-9, -9], [0, 0], [4, 4]]]], [[4, 5, 3, 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, 5, 3, 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, 5, 3, 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, 5, 3, 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, 5, 3, 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]]]], [[5, 3, 3, 1, 1], [And(-1 < v,v < 0), And(v < u,u < -v),
And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [-2, -2], [-2, -2]]]], [[5
, 3, 3, 1, 2], [And(-1 < v,v < 0), And(v < u,u < -v), And(-1 < x,x < -u^2+v^2-\
1), y < u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
0, 0], [-7/8, -7/8], [-2, -2], [-1816187/2097152, -3632373/4194304]]]], [[5, 3
, 3, 1, 3], [And(-1 < v,v < 0), And(v < u,u < -v), And(-1 < x,x < -u^2+v^2-1),
y < u^2-v^2+x+1, And(-(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], [-2, -2], [-1/8388608, -1/
8388608]]]], [[5, 3, 3, 1, 4], [And(-1 < v,v < 0), And(v < u,u < -v), And(-1 <
x,x < -u^2+v^2-1), y < u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
-1/2, -1/2], [0, 0], [-7/8, -7/8], [-2, -2], [908093/1048576, 454047/524288]]]
], [[5, 3, 3, 1, 5], [And(-1 < v,v < 0), And(v < u,u < -v), And(-1 < x,x < -u^
2+v^2-1), y < u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/
2], [0, 0], [-7/8, -7/8], [-2, -2], [2, 2]]]], [[7, 5, 4, 5, 1], [And(0 < v,v
< 1), v < u, x = -1, u^2-v^2 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1
/2, 1/2], [2, 2], [-1, -1], [5, 5], [-4, -4]]]], [[7, 5, 4, 5, 2], [And(0 < v,
v < 1), v < u, x = -1, u^2-v^2 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [
[1/2, 1/2], [2, 2], [-1, -1], [5, 5], [-2285319/1048576, -1142659/524288]]]],
[[7, 5, 4, 5, 3], [And(0 < v,v < 1), v < u, x = -1, u^2-v^2 < y, And(-(u^2-v^2
+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [2, 2], [-\
1, -1], [5, 5], [0, 0]]]], [[7, 5, 4, 5, 4], [And(0 < v,v < 1), v < u, x = -1,
u^2-v^2 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [-1,
-1], [5, 5], [1142659/524288, 2285319/1048576]]]], [[7, 5, 4, 5, 5], [And(0 <
v,v < 1), v < u, x = -1, u^2-v^2 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain,
[[1/2, 1/2], [2, 2], [-1, -1], [5, 5], [4, 4]]]], [[8, 5, 1, 5, 1], [v = 1, 
And(0 < u,u < 1), x < -1, -u^2-x < y, z < -u], [regular_chain, [[1, 1], [1/2,
1/2], [-2, -2], [3, 3], [-2, -2]]]], [[8, 5, 1, 5, 2], [v = 1, And(0 < u,u < 1
), x < -1, -u^2-x < y, z = -u], [regular_chain, [[1, 1], [1/2, 1/2], [-2, -2],
[3, 3], [-1/2, -1/2]]]], [[8, 5, 1, 5, 3], [v = 1, And(0 < u,u < 1), x < -1, -
u^2-x < y, And(-u < z,z < u)], [regular_chain, [[1, 1], [1/2, 1/2], [-2, -2],
[3, 3], [0, 0]]]], [[8, 5, 1, 5, 4], [v = 1, And(0 < u,u < 1), x < -1, -u^2-x
< y, z = u], [regular_chain, [[1, 1], [1/2, 1/2], [-2, -2], [3, 3], [1/2, 1/2]
]]], [[8, 5, 1, 5, 5], [v = 1, And(0 < u,u < 1), x < -1, -u^2-x < y, u < z], [
regular_chain, [[1, 1], [1/2, 1/2], [-2, -2], [3, 3], [2, 2]]]], [[10, 11, 1,
2, 1], [v = 2^(1/2), v < 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, 11, 1, 2, 2], [v = 2^(1/2), v < 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, 11, 1, 2
, 3], [v = 2^(1/2), v < 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, 11, 1, 2, 4], [v = 2^(1/2
), v < 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, 11, 1, 2, 5], [v = 2^(1/2), v < 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, 4, 5, 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
, 4, 5, 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, 4, 5, 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]]]], [[1, 11, 7, 3, 1], [v <
-2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v
^2+x+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152,
6111549/2097152], [2, 2], [0, 0], [-2, -2]]]], [[1, 11, 7, 3, 2], [v < -2^(1/2
), And((v^2-1)^(1/2) < u,u < -v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1)
, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [2, 2], [0, 0], [-735979/1048576, -1471957/2097152]]]], [[1,
11, 7, 3, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, And(-u^2+v^
2-x-1 < y,y < u^2-v^2+x+1), And(-(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], [0, 0
], [-1/4194304, -1/4194304]]]], [[1, 11, 7, 3, 4], [v < -2^(1/2), And((v^2-1)^
(1/2) < u,u < -v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2-v^2+
1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [2,
2], [0, 0], [367989/524288, 735979/1048576]]]], [[1, 11, 7, 3, 5], [v < -2^(1/
2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1
), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [2, 2], [0, 0], [2, 2]]]], [[2, 3, 6, 5, 1], [v = -2^(1/2),
And(v < u,u < -1), x = 1, u^2 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1, 1]
, [3, 3], [-2, -2]]]], [[2, 3, 6, 5, 2], [v = -2^(1/2), And(v < u,u < -1), x =
1, u^2 < y, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [1, 1], [3, 3], [-1417877/
2097152, -354469/524288]]]], [[2, 3, 6, 5, 3], [v = -2^(1/2), And(v < u,u < -1
), x = 1, u^2 < y, 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], [3, 3], [0, 0]]]], [[2, 3, 6, 5, 4], [v = -2^(1/2), And(v < u,u < -1), x =
1, u^2 < y, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [1, 1], [3, 3], [354469/524288,
708939/1048576]]]], [[2, 3, 6, 5, 5], [v = -2^(1/2), And(v < u,u < -1), x = 1,
u^2 < y, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [1, 1], [3, 3], [2, 2]]]], [[3,
2, 4, 2, 1], [And(-2^(1/2) < v,v < -1), u = v, x = 1, y = -2, z < -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-2, -2], [-2, -2]]]], [[3, 2, 4, 2, 2], [And(-2^(1/
2) < v,v < -1), u = v, x = 1, y = -2, z = -1], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [-2,
-2], [-1, -1]]]], [[3, 2, 4, 2, 3], [And(-2^(1/2) < v,v < -1), u = v, x = 1, y
= -2, And(-1 < z,z < 1)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-1265743/1048576, -1265743/1048576], [1, 1], [-2, -2], [0, 0]]]], [[3, 2,
4, 2, 4], [And(-2^(1/2) < v,v < -1), u = v, x = 1, y = -2, z = 1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-2, -2], [1, 1]]]], [[3, 2, 4, 2, 5], [And(-2^(1/2)
< v,v < -1), u = v, x = 1, y = -2, 1 < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [-2, -2], [2,
2]]]], [[3, 7, 1, 2, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u <
-v), x < -1, y = u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-2, -2]
, [-1646781/1048576, -3293561/2097152], [-2, -2]]]], [[3, 7, 1, 2, 2], [And(-2
^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x < -1, y = u^2-v^2+x+1, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[987341/1048576, 987341/1048576], [-2, -2], [-1646781/1048576, -3293561/
2097152], [-1374407/2097152, -687203/1048576]]]], [[3, 7, 1, 2, 3], [And(-2^(1
/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x < -1, y = u^2-v^2+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], [-\
1646781/1048576, -3293561/2097152], [0, 0]]]], [[3, 7, 1, 2, 4], [And(-2^(1/2)
< v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x < -1, y = u^2-v^2+x+1, z = (u^2-
v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-2, -2], [-1646781/1048576, -3293561/2097152], [
687203/1048576, 171801/262144]]]], [[3, 7, 1, 2, 5], [And(-2^(1/2) < v,v < -1)
, And((v^2-1)^(1/2) < u,u < -v), x < -1, y = u^2-v^2+x+1, (u^2-v^2+1)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [-2, -2], [-1646781/1048576, -3293561/2097152], [2, 2]]]], [[
5, 5, 7, 5, 1], [And(-1 < v,v < 0), -v < u, 1 < x, u^2-v^2+x+1 < y, z < -(u^2-
v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [2, 2], [8, 8], [-4, -4]
]]], [[5, 5, 7, 5, 2], [And(-1 < v,v < 0), -v < u, 1 < x, u^2-v^2+x+1 < y, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [2, 2], [8, 8], [-\
2285319/1048576, -1142659/524288]]]], [[5, 5, 7, 5, 3], [And(-1 < v,v < 0), -v
< u, 1 < x, u^2-v^2+x+1 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))
], [regular_chain, [[-1/2, -1/2], [2, 2], [2, 2], [8, 8], [0, 0]]]], [[5, 5, 7
, 5, 4], [And(-1 < v,v < 0), -v < u, 1 < x, u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(
1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [2, 2], [8, 8], [1142659/524288,
2285319/1048576]]]], [[5, 5, 7, 5, 5], [And(-1 < v,v < 0), -v < u, 1 < x, u^2-
v^2+x+1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [2, 2], [2
, 2], [8, 8], [4, 4]]]], [[7, 2, 5, 2, 1], [And(0 < v,v < 1), u = -v, 1 < x, y
= -1-x, z < -1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2], [-3, -3],
[-2, -2]]]], [[7, 2, 5, 2, 2], [And(0 < v,v < 1), u = -v, 1 < x, y = -1-x, z =
-1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2], [-3, -3], [-1, -1]]]],
[[7, 2, 5, 2, 3], [And(0 < v,v < 1), u = -v, 1 < x, y = -1-x, And(-1 < z,z < 1
)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2], [-3, -3], [0, 0]]]], [[
7, 2, 5, 2, 4], [And(0 < v,v < 1), u = -v, 1 < x, y = -1-x, z = 1], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2], [-3, -3], [1, 1]]]], [[7, 2,
5, 2, 5], [And(0 < v,v < 1), u = -v, 1 < x, y = -1-x, 1 < z], [regular_chain,
[[1/2, 1/2], [-1/2, -1/2], [2, 2], [-3, -3], [2, 2]]]], [[8, 7, 6, 4, 1], [v =
1, 1 < u, x = 1, y = u^2+1, z < -u], [regular_chain, [[1, 1], [2, 2], [1, 1],
[5, 5], [-3, -3]]]], [[8, 7, 6, 4, 2], [v = 1, 1 < u, x = 1, y = u^2+1, z = -u
], [regular_chain, [[1, 1], [2, 2], [1, 1], [5, 5], [-2, -2]]]], [[8, 7, 6, 4,
3], [v = 1, 1 < u, x = 1, y = u^2+1, And(-u < z,z < u)], [regular_chain, [[1,
1], [2, 2], [1, 1], [5, 5], [0, 0]]]], [[8, 7, 6, 4, 4], [v = 1, 1 < u, x = 1,
y = u^2+1, z = u], [regular_chain, [[1, 1], [2, 2], [1, 1], [5, 5], [2, 2]]]],
[[8, 7, 6, 4, 5], [v = 1, 1 < u, x = 1, y = u^2+1, u < z], [regular_chain, [[1
, 1], [2, 2], [1, 1], [5, 5], [3, 3]]]], [[9, 5, 3, 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 < -u^2+v^2-1), y
= -u^2+v^2-x-1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
0, 0], [-284633/1048576, -284633/1048576], [763943/1048576, 95493/131072], [0,
0]]]], [[10, 3, 6, 3, 1], [v = 2^(1/2), And(-v < u,u < -1), x = 1, And(-u^2 <
y,y < u^2), z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [0, 0], [-2, -2]]]], [
[10, 3, 6, 3, 2], [v = 2^(1/2), And(-v < u,u < -1), x = 1, And(-u^2 < y,y < u^
2), z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [1, 1], [0, 0], [-1417877/2097152, -354469
/524288]]]], [[10, 3, 6, 3, 3], [v = 2^(1/2), And(-v < u,u < -1), x = 1, And(-
u^2 < y,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
], [0, 0], [0, 0]]]], [[10, 3, 6, 3, 4], [v = 2^(1/2), And(-v < u,u < -1), x =
1, And(-u^2 < y,y < u^2), z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [0, 0], [
354469/524288, 708939/1048576]]]], [[10, 3, 6, 3, 5], [v = 2^(1/2), And(-v < u
,u < -1), x = 1, And(-u^2 < y,y < u^2), (u^2-1)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [1, 1],
[0, 0], [2, 2]]]], [[10, 8, 3, 3, 1], [v = 2^(1/2), u = 1, And(-1 < x,x < 0),
And(x < y,y < -x), z < 0], [regular_chain, [[741455/524288, 1482911/1048576],
[1, 1], [-1/2, -1/2], [0, 0], [-1, -1]]]], [[10, 8, 3, 3, 2], [v = 2^(1/2), u
= 1, And(-1 < x,x < 0), And(x < y,y < -x), z = 0], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [0, 0], [0, 0]]]], [[10, 8, 3,
3, 3], [v = 2^(1/2), u = 1, And(-1 < x,x < 0), And(x < y,y < -x), 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [0, 0]
, [1, 1]]]], [[11, 7, 2, 5, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-\
2)^(1/2)), x = -1, -u^2+v^2 < y, z = z], [regular_chain, [[3, 3], [0, 0], [-1,
-1], [10, 10], [0, 0]]]], [[11, 11, 7, 2, 1], [2^(1/2) < v, And((v^2-1)^(1/2)
< u,u < v), 1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain,
[[3, 3], [6111549/2097152, 6111549/2097152], [2, 2], [-653431/262144, -2613723
/1048576], [-2, -2]]]], [[11, 11, 7, 2, 2], [2^(1/2) < v, And((v^2-1)^(1/2) <
u,u < v), 1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[
3, 3], [6111549/2097152, 6111549/2097152], [2, 2], [-653431/262144, -2613723/
1048576], [-735979/1048576, -1471957/2097152]]]], [[11, 11, 7, 2, 3], [2^(1/2)
< v, And((v^2-1)^(1/2) < u,u < v), 1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(
1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [2, 2], [-653431/262144, -2613723/1048576], [-1/4194304, -1/
4194304]]]], [[11, 11, 7, 2, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1
< x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [2, 2], [-653431/262144, -2613723/1048576],
[367989/524288, 735979/1048576]]]], [[11, 11, 7, 2, 5], [2^(1/2) < v, And((v^2
-1)^(1/2) < u,u < v), 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [2, 2], [-653431/
262144, -2613723/1048576], [2, 2]]]], [[1, 4, 5, 3, 1], [v < -2^(1/2), u = -(v
^2-1)^(1/2), And(0 < x,x < 1), And(-x < y,y < x), z < 0], [regular_chain, [[-3
, -3], [-2965821/1048576, -11863283/4194304], [1/2, 1/2], [0, 0], [-1, -1]]]],
[[1, 4, 5, 3, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(-x
< y,y < x), z = 0], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [1/2, 1/2], [0, 0], [0, 0]]]], [[1, 4, 5, 3, 3], [v < -2^(1/2), u =
-(v^2-1)^(1/2), And(0 < x,x < 1), And(-x < y,y < x), 0 < z], [regular_chain, [
[-3, -3], [-2965821/1048576, -11863283/4194304], [1/2, 1/2], [0, 0], [1, 1]]]]
, [[1, 9, 4, 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, 0 < y, z = z], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [133259/262144, 533037/1048576], [1, 1], [0, 0]]]], [[2, 6, 2
, 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,
11, 1, 4, 1], [v = -2^(1/2), -v < 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, 11, 1, 4, 2], [v = -2^(1/2), -v < 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, 11, 1, 4, 3], [v = -2^(1/2), -v < 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, 11, 1, 4,
4], [v = -2^(1/2), -v < 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, 11, 1, 4, 5], [v = -2^(1/2), -v < 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]]]], [[4, 5, 3, 3, 1
], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(u^2+x < y,y < -u^2-x),
z < -u], [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [0, 0], [-2, -2]
]]], [[4, 5, 3, 3, 2], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(u^
2+x < y,y < -u^2-x), z = -u], [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5
/8], [0, 0], [-1/2, -1/2]]]], [[4, 5, 3, 3, 3], [v = -1, And(0 < u,u < 1), And
(-1 < x,x < -u^2), And(u^2+x < y,y < -u^2-x), And(-u < z,z < u)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [0, 0], [0, 0]]]], [[4, 5,
3, 3, 4], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(u^2+x < y,y < -
u^2-x), z = u], [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [0, 0], [
1/2, 1/2]]]], [[4, 5, 3, 3, 5], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2
), And(u^2+x < y,y < -u^2-x), u < z], [regular_chain, [[-1, -1], [1/2, 1/2], [
-5/8, -5/8], [0, 0], [2, 2]]]], [[5, 3, 2, 5, 1], [And(-1 < v,v < 0), And(v <
u,u < -v), x = -1, -u^2+v^2 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1
/2, -1/2], [0, 0], [-1, -1], [2, 2], [-2, -2]]]], [[5, 3, 2, 5, 2], [And(-1 <
v,v < 0), And(v < u,u < -v), x = -1, -u^2+v^2 < y, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [2, 2], [-1816187/2097152, -\
3632373/4194304]]]], [[5, 3, 2, 5, 3], [And(-1 < v,v < 0), And(v < u,u < -v),
x = -1, -u^2+v^2 < y, 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], [2, 2], [-1/8388608, -1/
8388608]]]], [[5, 3, 2, 5, 4], [And(-1 < v,v < 0), And(v < u,u < -v), x = -1,
-u^2+v^2 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [
-1, -1], [2, 2], [908093/1048576, 454047/524288]]]], [[5, 3, 2, 5, 5], [And(-1
< v,v < 0), And(v < u,u < -v), x = -1, -u^2+v^2 < y, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [2, 2], [2, 2]]]], [[7, 5, 5,
1, 1], [And(0 < v,v < 1), v < u, And(-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], [2, 2], [0, 0], [-6, -6], [-4, -\
4]]]], [[7, 5, 5, 1, 2], [And(0 < v,v < 1), v < u, And(-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], [2, 2], [0, 0]
, [-6, -6], [-2285319/1048576, -1142659/524288]]]], [[7, 5, 5, 1, 3], [And(0 <
v,v < 1), v < u, And(-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], [2, 2], [0, 0], [-6, -\
6], [0, 0]]]], [[7, 5, 5, 1, 4], [And(0 < v,v < 1), v < u, And(-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], [2, 2],
[0, 0], [-6, -6], [1142659/524288, 2285319/1048576]]]], [[7, 5, 5, 1, 5], [And
(0 < v,v < 1), v < u, And(-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], [2, 2], [0, 0], [-6, -6], [4, 4]]]], [[8, 5,
2, 1, 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], [-2, -2], [-2, -2]]]], [[8, 5, 2, 1, 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], [-2, -2], [-1/2, -1/2]]]], [[8, 5, 2, 1, 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], [-2, -2], [0, 0]]]], [[8, 5, 2, 1, 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],
[-2, -2], [1/2, 1/2]]]], [[8, 5, 2, 1, 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], [-2, -2], [2,
2]]]], [[10, 11, 1, 1, 1], [v = 2^(1/2), v < 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], [-2, -2], [-4, -4]]]], [[10, 11, 1, 1, 2], [v = 2^(1/2), v < 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], [-2, -2], [-2965821/1048576, -11863283/
4194304]]]], [[10, 11, 1, 1, 3], [v = 2^(1/2), v < 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], [-2, -2], [-3/8388608, -3/8388608]]]], [[
10, 11, 1, 1, 4], [v = 2^(1/2), v < 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], [-2
, -2], [741455/262144, 2965821/1048576]]]], [[10, 11, 1, 1, 5], [v = 2^(1/2),
v < 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], [-2, -2], [4, 4]]]], [[11, 4, 5, 3
, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(-x < y,y < x), z
< 0], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [1/2, 1/
2], [0, 0], [-1, -1]]]], [[11, 4, 5, 3, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2),
And(0 < x,x < 1), And(-x < y,y < x), z = 0], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [1/2, 1/2], [0, 0], [0, 0]]]], [[11, 4, 5
, 3, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(-x < y,y < x)
, 0 < z], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [1/2
, 1/2], [0, 0], [1, 1]]]], [[1, 11, 7, 2, 1], [v < -2^(1/2), And((v^2-1)^(1/2)
< u,u < -v), 1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain,
[[-3, -3], [6111549/2097152, 6111549/2097152], [2, 2], [-653431/262144, -\
2613723/1048576], [-2, -2]]]], [[1, 11, 7, 2, 2], [v < -2^(1/2), And((v^2-1)^(
1/2) < u,u < -v), 1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [2, 2], [-653431
/262144, -2613723/1048576], [-735979/1048576, -1471957/2097152]]]], [[1, 11, 7
, 2, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = -u^2+v^2-x-1
, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3
], [6111549/2097152, 6111549/2097152], [2, 2], [-653431/262144, -2613723/
1048576], [-1/4194304, -1/4194304]]]], [[1, 11, 7, 2, 4], [v < -2^(1/2), And((
v^2-1)^(1/2) < u,u < -v), 1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [2, 2], [-653431
/262144, -2613723/1048576], [367989/524288, 735979/1048576]]]], [[1, 11, 7, 2,
5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = -u^2+v^2-x-1, (u^
2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [2, 2], [-653431/262144, -2613723/1048576], [2, 2]]]], [[2, 3, 6, 4,
1], [v = -2^(1/2), And(v < u,u < -1), x = 1, y = u^2, z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [1, 1], [763943/524288, 1527887/1048576], [-2, -2]]]], [[2,
3, 6, 4, 2], [v = -2^(1/2), And(v < u,u < -1), x = 1, y = u^2, z = -(u^2-1)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576,
-1265743/1048576], [1, 1], [763943/524288, 1527887/1048576], [-1417877/2097152
, -354469/524288]]]], [[2, 3, 6, 4, 3], [v = -2^(1/2), And(v < u,u < -1), x =
1, y = u^2, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1, 1]
, [763943/524288, 1527887/1048576], [0, 0]]]], [[2, 3, 6, 4, 4], [v = -2^(1/2)
, And(v < u,u < -1), x = 1, y = u^2, z = (u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1, 1]
, [763943/524288, 1527887/1048576], [354469/524288, 708939/1048576]]]], [[2, 3
, 6, 4, 5], [v = -2^(1/2), And(v < u,u < -1), x = 1, y = u^2, (u^2-1)^(1/2) <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [1, 1], [763943/524288, 1527887/1048576], [2, 2]]]], [[3, 2,
4, 3, 1], [And(-2^(1/2) < v,v < -1), u = v, x = 1, And(-2 < y,y < 2), z < -1],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1, 1], [0, 0], [-2, -2]]]], [[3, 2, 4, 3, 2], [And(-2^(1/2)
< v,v < -1), u = v, x = 1, And(-2 < y,y < 2), z = -1], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [1,
1], [0, 0], [-1, -1]]]], [[3, 2, 4, 3, 3], [And(-2^(1/2) < v,v < -1), u = v, x
= 1, And(-2 < y,y < 2), And(-1 < z,z < 1)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [0, 0], [0,
0]]]], [[3, 2, 4, 3, 4], [And(-2^(1/2) < v,v < -1), u = v, x = 1, And(-2 < y,y
< 2), z = 1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743
/1048576, -1265743/1048576], [1, 1], [0, 0], [1, 1]]]], [[3, 2, 4, 3, 5], [And
(-2^(1/2) < v,v < -1), u = v, x = 1, And(-2 < y,y < 2), 1 < z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576],
[1, 1], [0, 0], [2, 2]]]], [[3, 7, 1, 3, 1], [And(-2^(1/2) < v,v < -1), And((v
^2-1)^(1/2) < u,u < -v), x < -1, And(u^2-v^2+x+1 < y,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], [-1/4194304, -1/4194304], [-2, -2]]
]], [[3, 7, 1, 3, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v)
, x < -1, And(u^2-v^2+x+1 < y,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], [-1/4194304, -1/4194304], [-1374407/2097152, -687203/
1048576]]]], [[3, 7, 1, 3, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) <
u,u < -v), x < -1, And(u^2-v^2+x+1 < y,y < -u^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], [-1/4194304, -1/4194304]
, [0, 0]]]], [[3, 7, 1, 3, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) <
u,u < -v), x < -1, And(u^2-v^2+x+1 < y,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], [-1/4194304, -1/4194304], [687203/1048576, 171801/
262144]]]], [[3, 7, 1, 3, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u
,u < -v), x < -1, And(u^2-v^2+x+1 < y,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], [-1/4194304, -1/4194304], [2, 2]]]], [[5, 5, 7, 4,
1], [And(-1 < v,v < 0), -v < u, 1 < x, y = u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)
], [regular_chain, [[-1/2, -1/2], [2, 2], [2, 2], [27/4, 27/4], [-4, -4]]]], [
[5, 5, 7, 4, 2], [And(-1 < v,v < 0), -v < u, 1 < x, y = u^2-v^2+x+1, z = -(u^2
-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [2, 2], [27/4, 27/4], [
-2285319/1048576, -1142659/524288]]]], [[5, 5, 7, 4, 3], [And(-1 < v,v < 0), -
v < u, 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], [2, 2], [2, 2], [27/4, 27/4], [0, 0]]]], [
[5, 5, 7, 4, 4], [And(-1 < v,v < 0), -v < u, 1 < x, y = u^2-v^2+x+1, z = (u^2-
v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [2, 2], [27/4, 27/4], [
1142659/524288, 2285319/1048576]]]], [[5, 5, 7, 4, 5], [And(-1 < v,v < 0), -v
< u, 1 < x, y = u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -\
1/2], [2, 2], [2, 2], [27/4, 27/4], [4, 4]]]], [[7, 2, 5, 1, 1], [And(0 < v,v
< 1), u = -v, 1 < x, y < -1-x, z < -1], [regular_chain, [[1/2, 1/2], [-1/2, -1
/2], [2, 2], [-4, -4], [-2, -2]]]], [[7, 2, 5, 1, 2], [And(0 < v,v < 1), u = -
v, 1 < x, y < -1-x, z = -1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2]
, [-4, -4], [-1, -1]]]], [[7, 2, 5, 1, 3], [And(0 < v,v < 1), u = -v, 1 < x, y
< -1-x, And(-1 < z,z < 1)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2],
[-4, -4], [0, 0]]]], [[7, 2, 5, 1, 4], [And(0 < v,v < 1), u = -v, 1 < x, y < -\
1-x, z = 1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2], [-4, -4], [1,
1]]]], [[7, 2, 5, 1, 5], [And(0 < v,v < 1), u = -v, 1 < x, y < -1-x, 1 < z], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2], [-4, -4], [2, 2]]]], [[8, 7,
6, 5, 1], [v = 1, 1 < u, x = 1, u^2+1 < y, z < -u], [regular_chain, [[1, 1], [
2, 2], [1, 1], [6, 6], [-3, -3]]]], [[8, 7, 6, 5, 2], [v = 1, 1 < u, x = 1, u^
2+1 < y, z = -u], [regular_chain, [[1, 1], [2, 2], [1, 1], [6, 6], [-2, -2]]]]
, [[8, 7, 6, 5, 3], [v = 1, 1 < u, x = 1, u^2+1 < y, And(-u < z,z < u)], [
regular_chain, [[1, 1], [2, 2], [1, 1], [6, 6], [0, 0]]]], [[8, 7, 6, 5, 4], [
v = 1, 1 < u, x = 1, u^2+1 < y, z = u], [regular_chain, [[1, 1], [2, 2], [1, 1
], [6, 6], [2, 2]]]], [[8, 7, 6, 5, 5], [v = 1, 1 < u, x = 1, u^2+1 < y, u < z
], [regular_chain, [[1, 1], [2, 2], [1, 1], [6, 6], [3, 3]]]], [[9, 5, 3, 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 < -u^2+v^2-1), -u^2+v^2-x-1 < y, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-284633/1048576, -284633/1048576], [2, 2],
[0, 0]]]], [[10, 3, 6, 2, 1], [v = 2^(1/2), And(-v < u,u < -1), x = 1, y = -u^
2, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [1, 1], [-1527887/1048576, -763943/524288]
, [-2, -2]]]], [[10, 3, 6, 2, 2], [v = 2^(1/2), And(-v < u,u < -1), x = 1, y =
-u^2, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1265743/1048576, -1265743/1048576], [1, 1], [-1527887/1048576, -763943/
524288], [-1417877/2097152, -354469/524288]]]], [[10, 3, 6, 2, 3], [v = 2^(1/2
), And(-v < u,u < -1), x = 1, y = -u^2, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/
2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-1527887/1048576, -763943/524288], [0, 0]]]], [[10,
3, 6, 2, 4], [v = 2^(1/2), And(-v < u,u < -1), x = 1, y = -u^2, z = (u^2-1)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-1527887/1048576, -763943/524288], [354469/524288,
708939/1048576]]]], [[10, 3, 6, 2, 5], [v = 2^(1/2), And(-v < u,u < -1), x = 1
, y = -u^2, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [-1527887/1048576, -\
763943/524288], [2, 2]]]], [[10, 8, 3, 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, 3, 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, 3, 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]]]
], [[11, 7, 3, 1, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)),
And(-1 < x,x < 1), y < u^2-v^2+x+1, z = z], [regular_chain, [[3, 3], [0, 0], [
0, 0], [-9, -9], [0, 0]]]], [[11, 11, 7, 3, 1], [2^(1/2) < v, And((v^2-1)^(1/2
) < u,u < v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(
1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [2, 2], [0
, 0], [-2, -2]]]], [[11, 11, 7, 3, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u <
v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [2, 2], [0, 0], [-\
735979/1048576, -1471957/2097152]]]], [[11, 11, 7, 3, 3], [2^(1/2) < v, And((v
^2-1)^(1/2) < u,u < v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), And(-(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], [0, 0], [-1/4194304, -1/4194304]]]], [[11,
11, 7, 3, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, And(-u^2+v^2-
x-1 < y,y < u^2-v^2+x+1), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [2, 2], [0, 0], [367989/524288, 735979/
1048576]]]], [[11, 11, 7, 3, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1
< x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [2, 2], [0, 0], [2
, 2]]]], [[1, 11, 7, 5, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 <
x, u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [2, 2], [4, 4], [-2, -2]]]], [[1, 11, 7, 5,
2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, u^2-v^2+x+1 < y, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [2, 2], [4, 4], [-735979/1048576, -1471957/2097152]]]], [[1, 11, 7,
5, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, u^2-v^2+x+1 < y, 
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], [4, 4], [-1/4194304, -1/4194304]]]
], [[1, 11, 7, 5, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, u^2
-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [2, 2], [4, 4], [367989/524288, 735979/1048576]]]],
[[1, 11, 7, 5, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, u^2-v^
2+x+1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152
, 6111549/2097152], [2, 2], [4, 4], [2, 2]]]], [[2, 4, 1, 1, 1], [v = -2^(1/2)
, u = -1, x < -1, y < x, z < 0], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [-2, -2], [-3, -3], [-1, -1]]]], [[2, 4, 1, 1, 2], [v = -2^
(1/2), u = -1, x < -1, y < x, z = 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1, -1], [-2, -2], [-3, -3], [0, 0]]]], [[2, 4, 1, 1, 3], [v
= -2^(1/2), u = -1, x < -1, y < x, 0 < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1, -1], [-2, -2], [-3, -3], [1, 1]]]], [[3, 2, 4, 4, 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, 2, 4, 4, 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, 2, 4, 4,
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, 2, 4, 4, 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, 2, 4, 4, 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, 7, 2, 3, 1], [And(-2^(1/2) <
v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, And(u^2-v^2 < y,y < -u^2+v^2
), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-1, -1], [-1/4194304, -1/4194304]
, [-2, -2]]]], [[3, 7, 2, 3, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2)
< u,u < -v), x = -1, And(u^2-v^2 < y,y < -u^2+v^2), z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [-1/4194304, -1/4194304], [-1374407/2097152, -687203/
1048576]]]], [[3, 7, 2, 3, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) <
u,u < -v), x = -1, And(u^2-v^2 < y,y < -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], [-1/4194304, -1/4194304], [0, 0]]]
], [[3, 7, 2, 3, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v),
x = -1, And(u^2-v^2 < y,y < -u^2+v^2), z = (u^2-v^2+1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-1,
-1], [-1/4194304, -1/4194304], [687203/1048576, 171801/262144]]]], [[3, 7, 2,
3, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, And(u
^2-v^2 < y,y < -u^2+v^2), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1], [-1/
4194304, -1/4194304], [2, 2]]]], [[6, 1, 1, 2, 1], [v = 0, u < 0, x < -u^2-1,
y = u^2+x+1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-3, -3],
[-1, -1], [-3, -3]]]], [[6, 1, 1, 2, 2], [v = 0, u < 0, x < -u^2-1, y = u^2+x+
1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-3, -3], [-1, -1],
[-1482911/1048576, -741455/524288]]]], [[6, 1, 1, 2, 3], [v = 0, 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, -1], [-3, -3], [-1, -1], [0, 0]]]], [[6, 1, 1, 2, 4], [v = 0, u
< 0, x < -u^2-1, y = u^2+x+1, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1
, -1], [-3, -3], [-1, -1], [741455/524288, 1482911/1048576]]]], [[6, 1, 1, 2,
5], [v = 0, u < 0, x < -u^2-1, y = u^2+x+1, (u^2+1)^(1/2) < z], [regular_chain
, [[0, 0], [-1, -1], [-3, -3], [-1, -1], [3, 3]]]], [[7, 3, 1, 3, 1], [And(0 <
v,v < 1), And(-v < u,u < v), x < -1, And(u^2-v^2+x+1 < y,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], [0, 0],
[-2, -2]]]], [[7, 3, 1, 3, 2], [And(0 < v,v < 1), And(-v < u,u < v), x < -1, 
And(u^2-v^2+x+1 < y,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], [0, 0], [-1816187/2097152, -3632373/4194304]]
]], [[7, 3, 1, 3, 3], [And(0 < v,v < 1), And(-v < u,u < v), x < -1, And(u^2-v^
2+x+1 < y,y < -u^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], [0, 0], [-1/8388608, -1/
8388608]]]], [[7, 3, 1, 3, 4], [And(0 < v,v < 1), And(-v < u,u < v), x < -1, 
And(u^2-v^2+x+1 < y,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], [0, 0], [908093/1048576, 454047/524288]]]], [[7
, 3, 1, 3, 5], [And(0 < v,v < 1), And(-v < u,u < v), x < -1, And(u^2-v^2+x+1 <
y,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], [0, 0], [2, 2]]]], [[8, 7, 7, 1, 1], [v = 1, 1 < u, 1 < x, y < -
u^2-x, z < -u], [regular_chain, [[1, 1], [2, 2], [2, 2], [-7, -7], [-3, -3]]]]
, [[8, 7, 7, 1, 2], [v = 1, 1 < u, 1 < x, y < -u^2-x, z = -u], [regular_chain,
[[1, 1], [2, 2], [2, 2], [-7, -7], [-2, -2]]]], [[8, 7, 7, 1, 3], [v = 1, 1 <
u, 1 < x, y < -u^2-x, And(-u < z,z < u)], [regular_chain, [[1, 1], [2, 2], [2,
2], [-7, -7], [0, 0]]]], [[8, 7, 7, 1, 4], [v = 1, 1 < u, 1 < x, y < -u^2-x, z
= u], [regular_chain, [[1, 1], [2, 2], [2, 2], [-7, -7], [2, 2]]]], [[8, 7, 7,
1, 5], [v = 1, 1 < u, 1 < x, y < -u^2-x, u < z], [regular_chain, [[1, 1], [2,
2], [2, 2], [-7, -7], [3, 3]]]], [[9, 5, 5, 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],
[1527887/2097152, 1527887/2097152], [-284633/1048576, -35579/131072], [0, 0]]]
], [[10, 3, 5, 2, 1], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 1),
y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [284633/1048576, 284633/
1048576], [-95493/131072, -1527887/2097152], [-2, -2]]]], [[10, 3, 5, 2, 2], [
v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 1), y = -u^2-x+1, z = -(u^
2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [284633/1048576, 284633/1048576], [-95493/131072,
-1527887/2097152], [-1417877/2097152, -354469/524288]]]], [[10, 3, 5, 2, 3], [
v = 2^(1/2), And(-v < 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, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [284633/1048576, 284633/
1048576], [-95493/131072, -1527887/2097152], [0, 0]]]], [[10, 3, 5, 2, 4], [v
= 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 1), y = -u^2-x+1, z = (u^2-1
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576
, -1265743/1048576], [284633/1048576, 284633/1048576], [-95493/131072, -\
1527887/2097152], [354469/524288, 708939/1048576]]]], [[10, 3, 5, 2, 5], [v =
2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 1), y = -u^2-x+1, (u^2-1)^(1/2
) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576,
-1265743/1048576], [284633/1048576, 284633/1048576], [-95493/131072, -1527887/
2097152], [2, 2]]]], [[10, 8, 3, 1, 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], [-2, -2], [-1, -1]]]], [[10, 8, 3, 1, 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], [-2, -2], [0, 0]]]], [[10, 8, 3, 1, 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], [-2, -2], [1, 1]]]], [[11, 7,
1, 4, 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-x-1, z = z], [regular_chain, [[3, 3], [0, 0], [-2, -2], [10, 10], [0,
0]]]], [[11, 11, 6, 5, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 1,
u^2-v^2+2 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [1, 1], [3, 3], [-2, -2]]]], [[11, 11, 6, 5, 2], [2
^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 1, u^2-v^2+2 < y, z = -(u^2-v^2+
1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1, 1]
, [3, 3], [-735979/1048576, -1471957/2097152]]]], [[11, 11, 6, 5, 3], [2^(1/2)
< v, And((v^2-1)^(1/2) < u,u < v), x = 1, u^2-v^2+2 < y, 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], [3, 3], [-1/4194304, -1/4194304]]]], [[11, 11, 6, 5,
4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 1, u^2-v^2+2 < y, z = (u^2
-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [
1, 1], [3, 3], [367989/524288, 735979/1048576]]]], [[11, 11, 6, 5, 5], [2^(1/2
) < v, And((v^2-1)^(1/2) < u,u < v), x = 1, u^2-v^2+2 < y, (u^2-v^2+1)^(1/2) <
z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1, 1], [3, 3
], [2, 2]]]], [[1, 4, 4, 1, 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], [-1, -1], [-1, -1]]]], [[1, 4, 4, 1, 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], [-1, -1], [0, 0]]]], [[1, 4, 4, 1, 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], [-1, -1], [1, 1]]]], [[1, 9, 4, 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]]]], [[2, 5, 7, 5, 1], [v = -2^(
1/2), And(-1 < u,u < 0), 1 < x, u^2+x-1 < y, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [2, 2], [3, 3], [0, 0]]]], [[2
, 11, 1, 1, 1], [v = -2^(1/2), -v < 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],
[-2, -2], [-4, -4]]]], [[2, 11, 1, 1, 2], [v = -2^(1/2), -v < 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], [-2, -2], [-2965821/1048576, -11863283/4194304]]]],
[[2, 11, 1, 1, 3], [v = -2^(1/2), -v < 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], [-2, -2], [-3/8388608, -3/8388608]]]], [[2, 11, 1,
1, 4], [v = -2^(1/2), -v < 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], [-2, -2]
, [741455/262144, 2965821/1048576]]]], [[2, 11, 1, 1, 5], [v = -2^(1/2), -v <
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], [-2, -2], [4, 4]]]], [[4, 5, 2, 3,
1], [v = -1, And(0 < u,u < 1), x = -1, And(u^2-1 < y,y < -u^2+1), z < -u], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [0, 0], [-2, -2]]]], [[4, 5, 2
, 3, 2], [v = -1, And(0 < u,u < 1), x = -1, And(u^2-1 < y,y < -u^2+1), z = -u]
, [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [0, 0], [-1/2, -1/2]]]], [[
4, 5, 2, 3, 3], [v = -1, And(0 < u,u < 1), x = -1, And(u^2-1 < y,y < -u^2+1),
And(-u < z,z < u)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [0, 0], [
0, 0]]]], [[4, 5, 2, 3, 4], [v = -1, And(0 < u,u < 1), x = -1, And(u^2-1 < y,y
< -u^2+1), z = u], [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [0, 0], [1
/2, 1/2]]]], [[4, 5, 2, 3, 5], [v = -1, And(0 < u,u < 1), x = -1, And(u^2-1 <
y,y < -u^2+1), u < z], [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [0, 0]
, [2, 2]]]], [[5, 3, 2, 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, 3, 2, 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, 3, 2, 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, 3,
2, 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, 3, 2, 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]]]], [[7, 5, 3, 4, 1], [And(
0 < v,v < 1), v < 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], [2, 2], [-23/8, -23/8], [15/8, 15/8]
, [-4, -4]]]], [[7, 5, 3, 4, 2], [And(0 < v,v < 1), v < 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]
, [2, 2], [-23/8, -23/8], [15/8, 15/8], [-2285319/1048576, -1142659/524288]]]]
, [[7, 5, 3, 4, 3], [And(0 < v,v < 1), v < 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], [2, 2], [-23/8, -23/8], [15/8, 15/8], [0, 0]]]], [
[7, 5, 3, 4, 4], [And(0 < v,v < 1), v < 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], [2, 2], [-23/8,
-23/8], [15/8, 15/8], [1142659/524288, 2285319/1048576]]]], [[7, 5, 3, 4, 5],
[And(0 < v,v < 1), v < 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], [2, 2], [-23/8, -23/8], [15/8, 
15/8], [4, 4]]]], [[8, 5, 1, 3, 1], [v = 1, And(0 < u,u < 1), x < -1, And(u^2+
x < y,y < -u^2-x), z < -u], [regular_chain, [[1, 1], [1/2, 1/2], [-2, -2], [0,
0], [-2, -2]]]], [[8, 5, 1, 3, 2], [v = 1, And(0 < u,u < 1), x < -1, And(u^2+x
< y,y < -u^2-x), z = -u], [regular_chain, [[1, 1], [1/2, 1/2], [-2, -2], [0, 0
], [-1/2, -1/2]]]], [[8, 5, 1, 3, 3], [v = 1, And(0 < u,u < 1), x < -1, And(u^
2+x < y,y < -u^2-x), And(-u < z,z < u)], [regular_chain, [[1, 1], [1/2, 1/2],
[-2, -2], [0, 0], [0, 0]]]], [[8, 5, 1, 3, 4], [v = 1, And(0 < u,u < 1), x < -\
1, And(u^2+x < y,y < -u^2-x), z = u], [regular_chain, [[1, 1], [1/2, 1/2], [-2
, -2], [0, 0], [1/2, 1/2]]]], [[8, 5, 1, 3, 5], [v = 1, And(0 < u,u < 1), x <
-1, And(u^2+x < y,y < -u^2-x), u < z], [regular_chain, [[1, 1], [1/2, 1/2], [-\
2, -2], [0, 0], [2, 2]]]], [[10, 11, 1, 4, 1], [v = 2^(1/2), v < 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, 11, 1, 4, 2], [v = 2^(1
/2), v < 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, 11, 1, 4, 3], [v = 2^(1/2), v < 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, 11, 1, 4, 4], [v = 2^(1/2), v < 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, 11, 1, 4, 5],
[v = 2^(1/2), v < 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, 4, 6, 5, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 1, 1 < y, z
< 0], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [1, 1],
[2, 2], [-1, -1]]]], [[11, 4, 6, 5, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), x =
1, 1 < y, z = 0], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [1, 1], [2, 2], [0, 0]]]], [[11, 4, 6, 5, 3], [2^(1/2) < v, u = -(v^
2-1)^(1/2), x = 1, 1 < y, 0 < z], [regular_chain, [[3, 3], [-2965821/1048576,
-11863283/4194304], [1, 1], [2, 2], [1, 1]]]], [[1, 11, 7, 4, 1], [v < -2^(1/2
), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/
2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [2, 2], [
2613723/1048576, 653431/262144], [-2, -2]]]], [[1, 11, 7, 4, 2], [v < -2^(1/2)
, And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2
)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [2, 2], [
2613723/1048576, 653431/262144], [-735979/1048576, -1471957/2097152]]]], [[1,
11, 7, 4, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = u^2-v^2
+x+1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3
, -3], [6111549/2097152, 6111549/2097152], [2, 2], [2613723/1048576, 653431/
262144], [-1/4194304, -1/4194304]]]], [[1, 11, 7, 4, 4], [v < -2^(1/2), And((v
^2-1)^(1/2) < u,u < -v), 1 < x, y = u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [2, 2], [2613723
/1048576, 653431/262144], [367989/524288, 735979/1048576]]]], [[1, 11, 7, 4, 5
], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = u^2-v^2+x+1, (u^2-
v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [2, 2], [2613723/1048576, 653431/262144], [2, 2]]]], [[2, 3, 7, 5, 1
], [v = -2^(1/2), And(v < u,u < -1), 1 < x, u^2+x-1 < y, z < -(u^2-1)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [2, 2], [4, 4], [-2, -2]]]], [[2, 3, 7, 5, 2], [v = -2^(1/2)
, And(v < u,u < -1), 1 < x, u^2+x-1 < y, z = -(u^2-1)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [2,
2], [4, 4], [-1417877/2097152, -354469/524288]]]], [[2, 3, 7, 5, 3], [v = -2^(
1/2), And(v < u,u < -1), 1 < x, u^2+x-1 < y, 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], [4, 4], [0, 0]]]], [[2, 3, 7, 5, 4], [v =
-2^(1/2), And(v < u,u < -1), 1 < x, u^2+x-1 < y, z = (u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [2, 2], [4, 4], [354469/524288, 708939/1048576]]]], [[2, 3,
7, 5, 5], [v = -2^(1/2), And(v < u,u < -1), 1 < x, u^2+x-1 < y, (u^2-1)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576,
-1265743/1048576], [2, 2], [4, 4], [2, 2]]]], [[3, 2, 4, 5, 1], [And(-2^(1/2)
< v,v < -1), u = v, x = 1, 2 < y, z < -1], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [3, 3], [-2,
-2]]]], [[3, 2, 4, 5, 2], [And(-2^(1/2) < v,v < -1), u = v, x = 1, 2 < y, z =
-1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576,
-1265743/1048576], [1, 1], [3, 3], [-1, -1]]]], [[3, 2, 4, 5, 3], [And(-2^(1/2
) < v,v < -1), u = v, x = 1, 2 < y, And(-1 < z,z < 1)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [1,
1], [3, 3], [0, 0]]]], [[3, 2, 4, 5, 4], [And(-2^(1/2) < v,v < -1), u = v, x =
1, 2 < y, z = 1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [1, 1], [3, 3], [1, 1]]]], [[3, 2, 4, 5, 5
], [And(-2^(1/2) < v,v < -1), u = v, x = 1, 2 < y, 1 < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [1,
1], [3, 3], [2, 2]]]], [[3, 7, 2, 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], [149551/262144, 598205/1048576], [-2, -2]]]], [[3, 7, 2, 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], [149551/262144, 598205/
1048576], [-1374407/2097152, -687203/1048576]]]], [[3, 7, 2, 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], [149551/
262144, 598205/1048576], [0, 0]]]], [[3, 7, 2, 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], [149551/262144, 598205/1048576], [687203/1048576, 
171801/262144]]]], [[3, 7, 2, 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], [149551/262144, 598205/1048576], [2, 2]]]], [[6, 1, 1, 1, 1], [v = 0, u <
0, x < -u^2-1, y < u^2+x+1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1,
-1], [-3, -3], [-2, -2], [-3, -3]]]], [[6, 1, 1, 1, 2], [v = 0, u < 0, x < -u^
2-1, y < u^2+x+1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-3,
-3], [-2, -2], [-1482911/1048576, -741455/524288]]]], [[6, 1, 1, 1, 3], [v = 0
, 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, -1], [-3, -3], [-2, -2], [0, 0]]]], [[6, 1, 1, 1
, 4], [v = 0, u < 0, x < -u^2-1, y < u^2+x+1, z = (u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-3, -3], [-2, -2], [741455/524288, 1482911/
1048576]]]], [[6, 1, 1, 1, 5], [v = 0, u < 0, x < -u^2-1, y < u^2+x+1, (u^2+1)
^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [-3, -3], [-2, -2], [3, 3]]]],
[[7, 3, 1, 2, 1], [And(0 < v,v < 1), And(-v < u,u < v), 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], [-2, -2], [-5
/4, -5/4], [-2, -2]]]], [[7, 3, 1, 2, 2], [And(0 < v,v < 1), And(-v < u,u < v)
, 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], [-2, -2], [-5/4, -5/4], [-1816187/2097152, -3632373/4194304]]]], [[
7, 3, 1, 2, 3], [And(0 < v,v < 1), And(-v < u,u < v), 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], [-2, -2], [-5/4, -5/4], [-1/8388608, -1/8388608]]]], [[7, 3, 1, 2,
4], [And(0 < v,v < 1), And(-v < u,u < v), 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], [-2, -2], [-5/4, -5/4], [
908093/1048576, 454047/524288]]]], [[7, 3, 1, 2, 5], [And(0 < v,v < 1), And(-v
< u,u < v), 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], [-2, -2], [-5/4, -5/4], [2, 2]]]], [[8, 7, 7, 2, 1], [v =
1, 1 < u, 1 < x, y = -u^2-x, z < -u], [regular_chain, [[1, 1], [2, 2], [2, 2],
[-6, -6], [-3, -3]]]], [[8, 7, 7, 2, 2], [v = 1, 1 < u, 1 < x, y = -u^2-x, z =
-u], [regular_chain, [[1, 1], [2, 2], [2, 2], [-6, -6], [-2, -2]]]], [[8, 7, 7
, 2, 3], [v = 1, 1 < u, 1 < x, y = -u^2-x, And(-u < z,z < u)], [regular_chain,
[[1, 1], [2, 2], [2, 2], [-6, -6], [0, 0]]]], [[8, 7, 7, 2, 4], [v = 1, 1 < u,
1 < x, y = -u^2-x, z = u], [regular_chain, [[1, 1], [2, 2], [2, 2], [-6, -6],
[2, 2]]]], [[8, 7, 7, 2, 5], [v = 1, 1 < u, 1 < x, y = -u^2-x, u < z], [
regular_chain, [[1, 1], [2, 2], [2, 2], [-6, -6], [3, 3]]]], [[9, 5, 5, 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 < u^2-v^2+x+1), z = z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [0, 0], [1527887/2097152, 1527887/
2097152], [0, 0], [0, 0]]]], [[10, 3, 5, 1, 1], [v = 2^(1/2), And(-v < u,u < -\
1), And(-u^2+1 < x,x < 1), y < -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [
284633/1048576, 284633/1048576], [-2, -2], [-2, -2]]]], [[10, 3, 5, 1, 2], [v
= 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 1), y < -u^2-x+1, z = -(u^2-\
1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [284633/1048576, 284633/1048576], [-2, -2], [-\
1417877/2097152, -354469/524288]]]], [[10, 3, 5, 1, 3], [v = 2^(1/2), And(-v <
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, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [284633/1048576, 284633/1048576], [-2, -2], [0, 0]
]]], [[10, 3, 5, 1, 4], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 1
), y < -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [284633/1048576, 284633/
1048576], [-2, -2], [354469/524288, 708939/1048576]]]], [[10, 3, 5, 1, 5], [v
= 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 1), y < -u^2-x+1, (u^2-1)^(1
/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576
, -1265743/1048576], [284633/1048576, 284633/1048576], [-2, -2], [2, 2]]]], [[
10, 8, 2, 5, 1], [v = 2^(1/2), u = 1, x = -1, 1 < y, z < 0], [regular_chain, [
[741455/524288, 1482911/1048576], [1, 1], [-1, -1], [2, 2], [-1, -1]]]], [[10,
8, 2, 5, 2], [v = 2^(1/2), u = 1, x = -1, 1 < y, z = 0], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [-1, -1], [2, 2], [0, 0]]]], [[10, 8,
2, 5, 3], [v = 2^(1/2), u = 1, x = -1, 1 < y, 0 < z], [regular_chain, [[741455
/524288, 1482911/1048576], [1, 1], [-1, -1], [2, 2], [1, 1]]]], [[11, 7, 1, 5,
1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < -1, -u^2+v^2-
x-1 < y, z = z], [regular_chain, [[3, 3], [0, 0], [-2, -2], [11, 11], [0, 0]]]
], [[11, 11, 7, 1, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, y <
-u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [2, 2], [-4, -4], [-2, -2]]]], [[11, 11, 7, 1, 2],
[2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, y < -u^2+v^2-x-1, z = -(u^2
-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [
2, 2], [-4, -4], [-735979/1048576, -1471957/2097152]]]], [[11, 11, 7, 1, 3], [
2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, y < -u^2+v^2-x-1, And(-(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], [-4, -4], [-1/4194304, -1/4194304]]]], [[11
, 11, 7, 1, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, y < -u^2+v^
2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [2, 2], [-4, -4], [367989/524288, 735979/1048576]]]], [[11,
11, 7, 1, 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], [-4, -4], [2, 2]]]], [[1, 4, 3, 5, 1], [v < -2^(1/2)
, u = -(v^2-1)^(1/2), And(-1 < x,x < 0), -x < y, z < 0], [regular_chain, [[-3,
-3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [2, 2], [-1, -1]]]],
[[1, 4, 3, 5, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), -x < y
, z = 0], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-\
1/2, -1/2], [2, 2], [0, 0]]]], [[1, 4, 3, 5, 3], [v < -2^(1/2), u = -(v^2-1)^(
1/2), And(-1 < x,x < 0), -x < y, 0 < z], [regular_chain, [[-3, -3], [-2965821/
1048576, -11863283/4194304], [-1/2, -1/2], [2, 2], [1, 1]]]], [[1, 9, 4, 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]]]], [[2, 6, 1, 1, 1], [v = -2
^(1/2), u = 0, x < -1, y < x-1, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [-2, -2], [-4, -4], [0, 0]]]], [[2, 11, 1, 2, 1], [v =
-2^(1/2), -v < 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, 11, 1, 2, 2], [v = -2^(1/2), -v < 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, 11, 1, 2, 3], [v
= -2^(1/2), -v < 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, 11, 1, 2, 4], [v = -2^(1/2), -
v < 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, 11, 1, 2, 5], [v = -2^(1/2), -v < 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]]]], [[4, 5, 2, 2, 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, 5, 2, 2, 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, 5, 2, 2, 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, 5, 2, 2, 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, 5, 2, 2, 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]]]], [[5, 3, 2, 3, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x = -1, 
And(u^2-v^2 < y,y < -u^2+v^2), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2
, -1/2], [0, 0], [-1, -1], [0, 0], [-2, -2]]]], [[5, 3, 2, 3, 2], [And(-1 < v,
v < 0), And(v < u,u < -v), x = -1, And(u^2-v^2 < y,y < -u^2+v^2), z = -(u^2-v^
2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [0, 0], [-\
1816187/2097152, -3632373/4194304]]]], [[5, 3, 2, 3, 3], [And(-1 < v,v < 0), 
And(v < u,u < -v), x = -1, And(u^2-v^2 < y,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
], [0, 0], [-1/8388608, -1/8388608]]]], [[5, 3, 2, 3, 4], [And(-1 < v,v < 0),
And(v < u,u < -v), x = -1, And(u^2-v^2 < y,y < -u^2+v^2), z = (u^2-v^2+1)^(1/2
)], [regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [0, 0], [908093/1048576,
454047/524288]]]], [[5, 3, 2, 3, 5], [And(-1 < v,v < 0), And(v < u,u < -v), x
= -1, And(u^2-v^2 < y,y < -u^2+v^2), (u^2-v^2+1)^(1/2) < z], [regular_chain, [
[-1/2, -1/2], [0, 0], [-1, -1], [0, 0], [2, 2]]]], [[7, 5, 3, 5, 1], [And(0 <
v,v < 1), v < u, And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, z < -(u^2-v^2+1)
^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [-23/8, -23/8], [3, 3], [-4, -4]
]]], [[7, 5, 3, 5, 2], [And(0 < v,v < 1), v < u, And(-u^2+v^2-1 < x,x < -1), u
^2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2],
[-23/8, -23/8], [3, 3], [-2285319/1048576, -1142659/524288]]]], [[7, 5, 3, 5,
3], [And(0 < v,v < 1), v < u, And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, And
(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2],
[2, 2], [-23/8, -23/8], [3, 3], [0, 0]]]], [[7, 5, 3, 5, 4], [And(0 < v,v < 1)
, v < u, And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)],
[regular_chain, [[1/2, 1/2], [2, 2], [-23/8, -23/8], [3, 3], [1142659/524288,
2285319/1048576]]]], [[7, 5, 3, 5, 5], [And(0 < v,v < 1), v < u, And(-u^2+v^2-\
1 < x,x < -1), u^2-v^2+x+1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2,
1/2], [2, 2], [-23/8, -23/8], [3, 3], [4, 4]]]], [[8, 5, 1, 4, 1], [v = 1, And
(0 < u,u < 1), x < -1, y = -u^2-x, z < -u], [regular_chain, [[1, 1], [1/2, 1/2
], [-2, -2], [7/4, 7/4], [-2, -2]]]], [[8, 5, 1, 4, 2], [v = 1, And(0 < u,u <
1), x < -1, y = -u^2-x, z = -u], [regular_chain, [[1, 1], [1/2, 1/2], [-2, -2]
, [7/4, 7/4], [-1/2, -1/2]]]], [[8, 5, 1, 4, 3], [v = 1, And(0 < u,u < 1), x <
-1, y = -u^2-x, And(-u < z,z < u)], [regular_chain, [[1, 1], [1/2, 1/2], [-2,
-2], [7/4, 7/4], [0, 0]]]], [[8, 5, 1, 4, 4], [v = 1, And(0 < u,u < 1), x < -1
, y = -u^2-x, z = u], [regular_chain, [[1, 1], [1/2, 1/2], [-2, -2], [7/4, 7/4
], [1/2, 1/2]]]], [[8, 5, 1, 4, 5], [v = 1, And(0 < u,u < 1), x < -1, y = -u^2
-x, u < z], [regular_chain, [[1, 1], [1/2, 1/2], [-2, -2], [7/4, 7/4], [2, 2]]
]], [[10, 11, 1, 3, 1], [v = 2^(1/2), v < u, x < -u^2+1, And(u^2+x-1 < y,y < -
u^2-x+1), z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [-9, -9], [0, 0], [-4, -4]]]], [[10, 11, 1, 3, 2], [v = 2^(1
/2), v < u, x < -u^2+1, And(u^2+x-1 < y,y < -u^2-x+1), z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9, -9], [0, 0], [-\
2965821/1048576, -11863283/4194304]]]], [[10, 11, 1, 3, 3], [v = 2^(1/2), v <
u, x < -u^2+1, And(u^2+x-1 < y,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
], [0, 0], [-3/8388608, -3/8388608]]]], [[10, 11, 1, 3, 4], [v = 2^(1/2), v <
u, x < -u^2+1, And(u^2+x-1 < y,y < -u^2-x+1), z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9, -9], [0, 0], [
741455/262144, 2965821/1048576]]]], [[10, 11, 1, 3, 5], [v = 2^(1/2), v < u, x
< -u^2+1, And(u^2+x-1 < y,y < -u^2-x+1), (u^2-1)^(1/2) < z], [regular_chain, [
[741455/524288, 1482911/1048576], [3, 3], [-9, -9], [0, 0], [4, 4]]]], [[11, 4
, 6, 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, 4, 6, 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, 4, 6, 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]]]], [[1, 12, 1, 2, 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, 12, 1, 2, 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,
12, 1, 2, 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, 12, 1, 2
, 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, 12, 1, 2, 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]]]], [[2, 3, 7, 4, 1], [v = -2^(1/2), And(v < u,u < -1), 1 < x,
y = u^2+x-1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [2, 2], [1288231/524288, 
2576463/1048576], [-2, -2]]]], [[2, 3, 7, 4, 2], [v = -2^(1/2), And(v < u,u <
-1), 1 < x, y = u^2+x-1, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [2, 2], [
1288231/524288, 2576463/1048576], [-1417877/2097152, -354469/524288]]]], [[2,
3, 7, 4, 3], [v = -2^(1/2), And(v < u,u < -1), 1 < x, y = u^2+x-1, And(-(u^2-1
)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [2, 2], [1288231/524288, 
2576463/1048576], [0, 0]]]], [[2, 3, 7, 4, 4], [v = -2^(1/2), And(v < u,u < -1
), 1 < x, y = u^2+x-1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1265743/1048576, -1265743/1048576], [2, 2], [1288231/524288
, 2576463/1048576], [354469/524288, 708939/1048576]]]], [[2, 3, 7, 4, 5], [v =
-2^(1/2), And(v < u,u < -1), 1 < x, y = u^2+x-1, (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [2, 2], [1288231/524288, 2576463/1048576], [2, 2]]]], [[3, 2
, 5, 1, 1], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, y < -1-x, z < -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-4, -4], [-2, -2]]]], [[3, 2, 5, 1, 2], [And(-2^(1/
2) < v,v < -1), u = v, 1 < x, y < -1-x, z = -1], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [-4,
-4], [-1, -1]]]], [[3, 2, 5, 1, 3], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, y
< -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [-4, -4], [0, 0]]]], [
[3, 2, 5, 1, 4], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, y < -1-x, z = 1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-4, -4], [1, 1]]]], [[3, 2, 5, 1, 5], [And(-2^(1/2)
< v,v < -1), u = v, 1 < x, y < -1-x, 1 < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [-4,
-4], [2, 2]]]], [[3, 7, 2, 1, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2)
< u,u < -v), x = -1, y < u^2-v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1]
, [-2, -2], [-2, -2]]]], [[3, 7, 2, 1, 2], [And(-2^(1/2) < v,v < -1), And((v^2
-1)^(1/2) < u,u < -v), x = -1, y < u^2-v^2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [-2, -2], [-1374407/2097152, -687203/1048576]]]], [[3, 7,
2, 1, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, y
< u^2-v^2, And(-(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], [-2, -2], [0, 0]]]], [[3, 7, 2, 1, 4], [And(-2^(1/2) < v,v < -1), And((v^
2-1)^(1/2) < u,u < -v), x = -1, y < u^2-v^2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [-2, -2], [687203/1048576, 171801/262144]]]], [[3, 7, 2, 1
, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, y < u^
2-v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-1, -1], [-2, -2], [2, 2]]]], [[6
, 1, 1, 4, 1], [v = 0, u < 0, x < -u^2-1, y = -u^2-x-1, z < -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-3, -3], [1, 1], [-3, -3]]]], [[6, 1, 1, 4,
2], [v = 0, u < 0, x < -u^2-1, y = -u^2-x-1, z = -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-3, -3], [1, 1], [-1482911/1048576, -741455
/524288]]]], [[6, 1, 1, 4, 3], [v = 0, 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, -1], [-3,
-3], [1, 1], [0, 0]]]], [[6, 1, 1, 4, 4], [v = 0, u < 0, x < -u^2-1, y = -u^2-
x-1, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-3, -3], [1, 1],
[741455/524288, 1482911/1048576]]]], [[6, 1, 1, 4, 5], [v = 0, u < 0, x < -u^2
-1, y = -u^2-x-1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [-3,
-3], [1, 1], [3, 3]]]], [[7, 3, 1, 1, 1], [And(0 < v,v < 1), And(-v < u,u < v)
, 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], [-2, -2], [-3, -3], [-2, -2]]]], [[7, 3, 1, 1, 2], [And(0 < v,v < 1
), And(-v < u,u < v), 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], [-2, -2], [-3, -3], [-1816187/2097152, -\
3632373/4194304]]]], [[7, 3, 1, 1, 3], [And(0 < v,v < 1), And(-v < u,u < v), 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], [-2, -2], [-3, -3], [-1/8388608, -1/
8388608]]]], [[7, 3, 1, 1, 4], [And(0 < v,v < 1), And(-v < u,u < v), 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], [-\
2, -2], [-3, -3], [908093/1048576, 454047/524288]]]], [[7, 3, 1, 1, 5], [And(0
< v,v < 1), And(-v < u,u < v), 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], [-2, -2], [-3, -3], [2, 2]]]], [[8, 7,
7, 3, 1], [v = 1, 1 < u, 1 < x, And(-u^2-x < y,y < u^2+x), z < -u], [
regular_chain, [[1, 1], [2, 2], [2, 2], [0, 0], [-3, -3]]]], [[8, 7, 7, 3, 2],
[v = 1, 1 < u, 1 < x, And(-u^2-x < y,y < u^2+x), z = -u], [regular_chain, [[1,
1], [2, 2], [2, 2], [0, 0], [-2, -2]]]], [[8, 7, 7, 3, 3], [v = 1, 1 < u, 1 <
x, And(-u^2-x < y,y < u^2+x), And(-u < z,z < u)], [regular_chain, [[1, 1], [2,
2], [2, 2], [0, 0], [0, 0]]]], [[8, 7, 7, 3, 4], [v = 1, 1 < u, 1 < x, And(-u^
2-x < y,y < u^2+x), z = u], [regular_chain, [[1, 1], [2, 2], [2, 2], [0, 0], [
2, 2]]]], [[8, 7, 7, 3, 5], [v = 1, 1 < u, 1 < x, And(-u^2-x < y,y < u^2+x), u
< z], [regular_chain, [[1, 1], [2, 2], [2, 2], [0, 0], [3, 3]]]], [[9, 5, 4, 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, 0 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [0, 0], [239655/524288, 479311/1048576], [1, 1], [0, 0]]]], [[10, 3, 5, 4, 1
], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 1), y = u^2+x-1, z < -
(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [284633/1048576, 284633/1048576], [763943/1048576,
95493/131072], [-2, -2]]]], [[10, 3, 5, 4, 2], [v = 2^(1/2), And(-v < u,u < -1
), And(-u^2+1 < x,x < 1), y = u^2+x-1, z = -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [284633
/1048576, 284633/1048576], [763943/1048576, 95493/131072], [-1417877/2097152,
-354469/524288]]]], [[10, 3, 5, 4, 3], [v = 2^(1/2), And(-v < 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, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [284633/1048576, 284633/1048576], [763943/1048576, 95493/131072], [0
, 0]]]], [[10, 3, 5, 4, 4], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x
< 1), y = u^2+x-1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [284633/1048576, 
284633/1048576], [763943/1048576, 95493/131072], [354469/524288, 708939/
1048576]]]], [[10, 3, 5, 4, 5], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 <
x,x < 1), y = u^2+x-1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [284633/1048576, 
284633/1048576], [763943/1048576, 95493/131072], [2, 2]]]], [[10, 8, 2, 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, 2, 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, 2, 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]]]], [[11, 7, 2, 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, 11
, 6, 3, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 1, And(-u^2+v^2-2
< y,y < u^2-v^2+2), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549
/2097152, 6111549/2097152], [1, 1], [0, 0], [-2, -2]]]], [[11, 11, 6, 3, 2], [
2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v
^2+2), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [1, 1], [0, 0], [-735979/1048576, -1471957/2097152]]]], [[11
, 11, 6, 3, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 1, And(-u^2+v^
2-2 < y,y < u^2-v^2+2), And(-(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], [0, 0], [-\
1/4194304, -1/4194304]]]], [[11, 11, 6, 3, 4], [2^(1/2) < v, And((v^2-1)^(1/2)
< u,u < v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z = (u^2-v^2+1)^(1/2)],
[regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1, 1], [0, 0], [
367989/524288, 735979/1048576]]]], [[11, 11, 6, 3, 5], [2^(1/2) < v, And((v^2-\
1)^(1/2) < u,u < v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), (u^2-v^2+1)^(1/
2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1, 1],
[0, 0], [2, 2]]]], [[1, 4, 4, 3, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 0,
0 < y, z < 0], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304
], [0, 0], [1, 1], [-1, -1]]]], [[1, 4, 4, 3, 2], [v < -2^(1/2), u = -(v^2-1)^
(1/2), x = 0, 0 < y, z = 0], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [0, 0], [1, 1], [0, 0]]]], [[1, 4, 4, 3, 3], [v < -2^(1/2),
u = -(v^2-1)^(1/2), x = 0, 0 < y, 0 < z], [regular_chain, [[-3, -3], [-2965821
/1048576, -11863283/4194304], [0, 0], [1, 1], [1, 1]]]], [[1, 9, 3, 5, 1], [v
< -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-\
1), -u^2+v^2-x-1 < y, z = z], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [-128885/524288, -128885/524288], [2, 2], [0, 0]]]], [[2, 6,
1, 2, 1], [v = -2^(1/2), u = 0, x < -1, y = x-1, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-2, -2], [-3, -3], [0, 0]]]], [[2,
10, 5, 4, 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, 10, 5, 4, 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, 10, 5, 4, 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, 10, 5, 4, 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, 10, 5, 4, 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]]]], [[4, 5, 2, 5, 1],
[v = -1, And(0 < u,u < 1), x = -1, -u^2+1 < y, z < -u], [regular_chain, [[-1,
-1], [1/2, 1/2], [-1, -1], [2, 2], [-2, -2]]]], [[4, 5, 2, 5, 2], [v = -1, And
(0 < u,u < 1), x = -1, -u^2+1 < y, z = -u], [regular_chain, [[-1, -1], [1/2, 1
/2], [-1, -1], [2, 2], [-1/2, -1/2]]]], [[4, 5, 2, 5, 3], [v = -1, And(0 < u,u
< 1), x = -1, -u^2+1 < y, And(-u < z,z < u)], [regular_chain, [[-1, -1], [1/2,
1/2], [-1, -1], [2, 2], [0, 0]]]], [[4, 5, 2, 5, 4], [v = -1, And(0 < u,u < 1)
, x = -1, -u^2+1 < y, z = u], [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1],
[2, 2], [1/2, 1/2]]]], [[4, 5, 2, 5, 5], [v = -1, And(0 < u,u < 1), x = -1, -u
^2+1 < y, u < z], [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [2, 2], [2,
2]]]], [[5, 3, 2, 2, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x = -1, y = u^
2-v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1
], [-1/4, -1/4], [-2, -2]]]], [[5, 3, 2, 2, 2], [And(-1 < v,v < 0), And(v < u,
u < -v), x = -1, y = u^2-v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2,
-1/2], [0, 0], [-1, -1], [-1/4, -1/4], [-1816187/2097152, -3632373/4194304]]]]
, [[5, 3, 2, 2, 3], [And(-1 < v,v < 0), And(v < u,u < -v), x = -1, y = u^2-v^2
, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2,
-1/2], [0, 0], [-1, -1], [-1/4, -1/4], [-1/8388608, -1/8388608]]]], [[5, 3, 2,
2, 4], [And(-1 < v,v < 0), And(v < u,u < -v), x = -1, y = u^2-v^2, z = (u^2-v^
2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [-1/4, -1/4], [
908093/1048576, 454047/524288]]]], [[5, 3, 2, 2, 5], [And(-1 < v,v < 0), And(v
< u,u < -v), x = -1, y = u^2-v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1
/2, -1/2], [0, 0], [-1, -1], [-1/4, -1/4], [2, 2]]]], [[7, 5, 4, 1, 1], [And(0
< v,v < 1), v < u, x = -1, y < -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [2, 2], [-1, -1], [-5, -5], [-4, -4]]]], [[7, 5, 4
, 1, 2], [And(0 < v,v < 1), v < u, x = -1, y < -u^2+v^2, z = -(u^2-v^2+1)^(1/2
)], [regular_chain, [[1/2, 1/2], [2, 2], [-1, -1], [-5, -5], [-2285319/1048576
, -1142659/524288]]]], [[7, 5, 4, 1, 3], [And(0 < v,v < 1), v < 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], [2, 2], [-1, -1], [-5, -5], [0, 0]]]], [[7, 5, 4, 1, 4], [And(0 <
v,v < 1), v < u, x = -1, y < -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain,
[[1/2, 1/2], [2, 2], [-1, -1], [-5, -5], [1142659/524288, 2285319/1048576]]]],
[[7, 5, 4, 1, 5], [And(0 < v,v < 1), v < u, x = -1, y < -u^2+v^2, (u^2-v^2+1)^
(1/2) < z], [regular_chain, [[1/2, 1/2], [2, 2], [-1, -1], [-5, -5], [4, 4]]]]
, [[8, 5, 1, 1, 1], [v = 1, And(0 < u,u < 1), x < -1, y < u^2+x, z < -u], [
regular_chain, [[1, 1], [1/2, 1/2], [-2, -2], [-3, -3], [-2, -2]]]], [[8, 5, 1
, 1, 2], [v = 1, And(0 < u,u < 1), x < -1, y < u^2+x, z = -u], [regular_chain,
[[1, 1], [1/2, 1/2], [-2, -2], [-3, -3], [-1/2, -1/2]]]], [[8, 5, 1, 1, 3], [v
= 1, And(0 < u,u < 1), x < -1, y < u^2+x, And(-u < z,z < u)], [regular_chain,
[[1, 1], [1/2, 1/2], [-2, -2], [-3, -3], [0, 0]]]], [[8, 5, 1, 1, 4], [v = 1,
And(0 < u,u < 1), x < -1, y < u^2+x, z = u], [regular_chain, [[1, 1], [1/2, 1/
2], [-2, -2], [-3, -3], [1/2, 1/2]]]], [[8, 5, 1, 1, 5], [v = 1, And(0 < u,u <
1), x < -1, y < u^2+x, u < z], [regular_chain, [[1, 1], [1/2, 1/2], [-2, -2],
[-3, -3], [2, 2]]]], [[10, 11, 2, 1, 1], [v = 2^(1/2), v < u, x = -u^2+1, y <
0, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3,
3], [-8, -8], [-1, -1], [-4, -4]]]], [[10, 11, 2, 1, 2], [v = 2^(1/2), v < u,
x = -u^2+1, y < 0, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [-8, -8], [-1, -1], [-2965821/1048576, -11863283/
4194304]]]], [[10, 11, 2, 1, 3], [v = 2^(1/2), v < 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], [-1, -1], [-3/8388608, -3/8388608]]]], [[
10, 11, 2, 1, 4], [v = 2^(1/2), v < u, x = -u^2+1, y < 0, z = (u^2-1)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-8, -8], [-1, -1],
[741455/262144, 2965821/1048576]]]], [[10, 11, 2, 1, 5], [v = 2^(1/2), v < u,
x = -u^2+1, y < 0, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [-8, -8], [-1, -1], [4, 4]]]], [[11, 4, 6, 3, 1], [2
^(1/2) < v, u = -(v^2-1)^(1/2), x = 1, And(-1 < y,y < 1), z < 0], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [1, 1], [0, 0],
[-1, -1]]]], [[11, 4, 6, 3, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 1, And(-\
1 < y,y < 1), z = 0], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [1, 1], [0, 0], [0, 0]]]], [[11, 4, 6, 3, 3], [2^(1/2) < v, u = -(v^
2-1)^(1/2), x = 1, And(-1 < y,y < 1), 0 < z], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [1, 1], [0, 0], [1, 1]]]], [[1, 12, 1, 1,
1], [v < -2^(1/2), u = -v, x < -1, y < x+1, z < -1], [regular_chain, [[-3, -3]
, [3, 3], [-2, -2], [-2, -2], [-2, -2]]]], [[1, 12, 1, 1, 2], [v < -2^(1/2), u
= -v, x < -1, y < x+1, z = -1], [regular_chain, [[-3, -3], [3, 3], [-2, -2], [
-2, -2], [-1, -1]]]], [[1, 12, 1, 1, 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], [-2, -2],
[0, 0]]]], [[1, 12, 1, 1, 4], [v < -2^(1/2), u = -v, x < -1, y < x+1, z = 1],
[regular_chain, [[-3, -3], [3, 3], [-2, -2], [-2, -2], [1, 1]]]], [[1, 12, 1,
1, 5], [v < -2^(1/2), u = -v, x < -1, y < x+1, 1 < z], [regular_chain, [[-3, -\
3], [3, 3], [-2, -2], [-2, -2], [2, 2]]]], [[2, 3, 7, 3, 1], [v = -2^(1/2), 
And(v < u,u < -1), 1 < x, And(-u^2-x+1 < y,y < u^2+x-1), z < -(u^2-1)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [2, 2], [0, 0], [-2, -2]]]], [[2, 3, 7, 3, 2], [v = -2^(1/2)
, And(v < u,u < -1), 1 < x, And(-u^2-x+1 < y,y < u^2+x-1), z = -(u^2-1)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [2, 2], [0, 0], [-1417877/2097152, -354469/524288]]]], [[2,
3, 7, 3, 3], [v = -2^(1/2), And(v < u,u < -1), 1 < x, And(-u^2-x+1 < y,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], [0, 0]
, [0, 0]]]], [[2, 3, 7, 3, 4], [v = -2^(1/2), And(v < u,u < -1), 1 < x, And(-u
^2-x+1 < y,y < u^2+x-1), z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [2, 2], [0, 0]
, [354469/524288, 708939/1048576]]]], [[2, 3, 7, 3, 5], [v = -2^(1/2), And(v <
u,u < -1), 1 < x, And(-u^2-x+1 < y,y < u^2+x-1), (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [2, 2], [0, 0], [2, 2]]]], [[3, 2, 5, 2, 1], [And(-2^(1/2) <
v,v < -1), u = v, 1 < x, y = -1-x, z < -1], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [-3, -3], [
-2, -2]]]], [[3, 2, 5, 2, 2], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, y = -1-
x, z = -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [2, 2], [-3, -3], [-1, -1]]]], [[3, 2, 5, 2, 3], [
And(-2^(1/2) < v,v < -1), u = v, 1 < x, y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-3, -3], [0, 0]]]], [[3, 2, 5, 2, 4], [And(-2^(1/2)
< v,v < -1), u = v, 1 < x, y = -1-x, z = 1], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [-3,
-3], [1, 1]]]], [[3, 2, 5, 2, 5], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, y =
-1-x, 1 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743
/1048576, -1265743/1048576], [2, 2], [-3, -3], [2, 2]]]], [[3, 7, 2, 2, 1], [
And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, y = u^2-v^2,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [987341/1048576, 987341/1048576], [-1, -1], [-598205/1048576, -1196409/
2097152], [-2, -2]]]], [[3, 7, 2, 2, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1
)^(1/2) < u,u < -v), x = -1, y = u^2-v^2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [-598205/1048576, -1196409/2097152], [-1374407/2097152, -\
687203/1048576]]]], [[3, 7, 2, 2, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(
1/2) < u,u < -v), x = -1, y = u^2-v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2
+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-1, -1], [-598205/1048576, -1196409/2097152], [0, 0
]]]], [[3, 7, 2, 2, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -
v), x = -1, y = u^2-v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1], [-\
598205/1048576, -1196409/2097152], [687203/1048576, 171801/262144]]]], [[3, 7,
2, 2, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, y
= u^2-v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1], [-598205/1048576
, -1196409/2097152], [2, 2]]]], [[6, 1, 1, 3, 1], [v = 0, u < 0, x < -u^2-1, 
And(u^2+x+1 < y,y < -u^2-x-1), z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [
-1, -1], [-3, -3], [0, 0], [-3, -3]]]], [[6, 1, 1, 3, 2], [v = 0, u < 0, x < -
u^2-1, And(u^2+x+1 < y,y < -u^2-x-1), z = -(u^2+1)^(1/2)], [regular_chain, [[0
, 0], [-1, -1], [-3, -3], [0, 0], [-1482911/1048576, -741455/524288]]]], [[6,
1, 1, 3, 3], [v = 0, u < 0, x < -u^2-1, And(u^2+x+1 < y,y < -u^2-x-1), And(-(u
^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [-3, -\
3], [0, 0], [0, 0]]]], [[6, 1, 1, 3, 4], [v = 0, u < 0, x < -u^2-1, And(u^2+x+
1 < y,y < -u^2-x-1), z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-\
3, -3], [0, 0], [741455/524288, 1482911/1048576]]]], [[6, 1, 1, 3, 5], [v = 0,
u < 0, x < -u^2-1, And(u^2+x+1 < y,y < -u^2-x-1), (u^2+1)^(1/2) < z], [
regular_chain, [[0, 0], [-1, -1], [-3, -3], [0, 0], [3, 3]]]], [[7, 2, 5, 5, 1
], [And(0 < v,v < 1), u = -v, 1 < x, x+1 < y, z < -1], [regular_chain, [[1/2,
1/2], [-1/2, -1/2], [2, 2], [4, 4], [-2, -2]]]], [[7, 2, 5, 5, 2], [And(0 < v,
v < 1), u = -v, 1 < x, x+1 < y, z = -1], [regular_chain, [[1/2, 1/2], [-1/2, -\
1/2], [2, 2], [4, 4], [-1, -1]]]], [[7, 2, 5, 5, 3], [And(0 < v,v < 1), u = -v
, 1 < x, x+1 < y, And(-1 < z,z < 1)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2
], [2, 2], [4, 4], [0, 0]]]], [[7, 2, 5, 5, 4], [And(0 < v,v < 1), u = -v, 1 <
x, x+1 < y, z = 1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2], [4, 4],
[1, 1]]]], [[7, 2, 5, 5, 5], [And(0 < v,v < 1), u = -v, 1 < x, x+1 < y, 1 < z]
, [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2], [4, 4], [2, 2]]]], [[8, 7
, 7, 4, 1], [v = 1, 1 < u, 1 < x, y = u^2+x, z < -u], [regular_chain, [[1, 1],
[2, 2], [2, 2], [6, 6], [-3, -3]]]], [[8, 7, 7, 4, 2], [v = 1, 1 < u, 1 < x, y
= u^2+x, z = -u], [regular_chain, [[1, 1], [2, 2], [2, 2], [6, 6], [-2, -2]]]]
, [[8, 7, 7, 4, 3], [v = 1, 1 < u, 1 < x, y = u^2+x, And(-u < z,z < u)], [
regular_chain, [[1, 1], [2, 2], [2, 2], [6, 6], [0, 0]]]], [[8, 7, 7, 4, 4], [
v = 1, 1 < u, 1 < x, y = u^2+x, z = u], [regular_chain, [[1, 1], [2, 2], [2, 2
], [6, 6], [2, 2]]]], [[8, 7, 7, 4, 5], [v = 1, 1 < u, 1 < x, y = u^2+x, u < z
], [regular_chain, [[1, 1], [2, 2], [2, 2], [6, 6], [3, 3]]]], [[9, 5, 5, 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], [1527887/2097152, 1527887/2097152], [-2, -2
], [0, 0]]]], [[10, 3, 5, 3, 1], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1
< x,x < 1), And(-u^2-x+1 < y,y < u^2+x-1), z < -(u^2-1)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [
284633/1048576, 284633/1048576], [-1/4194304, -1/4194304], [-2, -2]]]], [[10,
3, 5, 3, 2], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 1), And(-u^2
-x+1 < y,y < u^2+x-1), z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [284633/1048576, 
284633/1048576], [-1/4194304, -1/4194304], [-1417877/2097152, -354469/524288]]
]], [[10, 3, 5, 3, 3], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 1)
, And(-u^2-x+1 < y,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], [284633/1048576, 284633/1048576], [-1/4194304, -1/4194304], [0, 0]]]
], [[10, 3, 5, 3, 4], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 1),
And(-u^2-x+1 < y,y < u^2+x-1), z = (u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [284633/
1048576, 284633/1048576], [-1/4194304, -1/4194304], [354469/524288, 708939/
1048576]]]], [[10, 3, 5, 3, 5], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 <
x,x < 1), And(-u^2-x+1 < y,y < u^2+x-1), (u^2-1)^(1/2) < z], [regular_chain, [
[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [
284633/1048576, 284633/1048576], [-1/4194304, -1/4194304], [2, 2]]]], [[10, 8,
2, 3, 1], [v = 2^(1/2), u = 1, x = -1, And(-1 < y,y < 1), z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1, -1], [0, 0], [-\
1, -1]]]], [[10, 8, 2, 3, 2], [v = 2^(1/2), u = 1, x = -1, And(-1 < y,y < 1),
z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1, -1], [
0, 0], [0, 0]]]], [[10, 8, 2, 3, 3], [v = 2^(1/2), u = 1, x = -1, And(-1 < y,y
< 1), 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1,
-1], [0, 0], [1, 1]]]], [[11, 7, 2, 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, 11, 6, 4, 1], [2^(1/2) < v, And((v^
2-1)^(1/2) < u,u < v), x = 1, y = u^2-v^2+2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1, 1], [1565147/
1048576, 391287/262144], [-2, -2]]]], [[11, 11, 6, 4, 2], [2^(1/2) < v, And((v
^2-1)^(1/2) < u,u < v), x = 1, y = u^2-v^2+2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1, 1], [1565147/
1048576, 391287/262144], [-735979/1048576, -1471957/2097152]]]], [[11, 11, 6,
4, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 1, y = u^2-v^2+2, And(-
(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [1, 1], [1565147/1048576, 391287/262144], [
-1/4194304, -1/4194304]]]], [[11, 11, 6, 4, 4], [2^(1/2) < v, And((v^2-1)^(1/2
) < u,u < v), x = 1, y = u^2-v^2+2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
3, 3], [6111549/2097152, 6111549/2097152], [1, 1], [1565147/1048576, 391287/
262144], [367989/524288, 735979/1048576]]]], [[11, 11, 6, 4, 5], [2^(1/2) < v,
And((v^2-1)^(1/2) < u,u < v), x = 1, y = u^2-v^2+2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1, 1], [1565147/
1048576, 391287/262144], [2, 2]]]], [[1, 4, 4, 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, 4, 4, 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, 4, 4, 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, 9, 3, 4, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-\
1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, z = z], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [-128885/524288, -128885/524288], [395403/
524288, 790807/1048576], [0, 0]]]], [[2, 6, 1, 3, 1], [v = -2^(1/2), u = 0, x
< -1, And(x-1 < y,y < -x+1), z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [-2, -2], [0, 0], [0, 0]]]], [[2, 10, 5, 5, 1], [v = -
2^(1/2), u = -v, 1 < x, x+1 < y, z < -1], [regular_chain, [[-1482911/1048576,
-741455/524288], [741455/524288, 1482911/1048576], [2, 2], [4, 4], [-2, -2]]]]
, [[2, 10, 5, 5, 2], [v = -2^(1/2), u = -v, 1 < x, x+1 < y, z = -1], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [2, 2], [4, 4], [-1, -1]]]], [[2, 10, 5, 5, 3], [v = -2^(1/2), u = -
v, 1 < x, x+1 < y, And(-1 < z,z < 1)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [741455/524288, 1482911/1048576], [2, 2], [4, 4], [0, 0]]]], [
[2, 10, 5, 5, 4], [v = -2^(1/2), u = -v, 1 < x, x+1 < y, z = 1], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [2, 2], [4, 4], [1, 1]]]], [[2, 10, 5, 5, 5], [v = -2^(1/2), u = -v,
1 < x, x+1 < y, 1 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [2, 2], [4, 4], [2, 2]]]], [[4, 5, 2, 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, 5, 2, 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, 5, 2, 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, 5, 2, 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, 5, 2, 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]]]], [[5, 3, 2, 1, 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], [-2, -2], [-2, -2]]]], [[5, 3, 2, 1, 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], [-2, -2], [-1816187/2097152, -\
3632373/4194304]]]], [[5, 3, 2, 1, 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], [-2, -2], [-1/8388608, -1/
8388608]]]], [[5, 3, 2, 1, 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], [-2, -2], [908093/1048576, 454047/524288]]]], [[5, 3, 2, 1, 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], [-2, -2], [2, 2]]]], [[7, 5,
4, 2, 1], [And(0 < v,v < 1), v < u, x = -1, y = -u^2+v^2, z < -(u^2-v^2+1)^(1/
2)], [regular_chain, [[1/2, 1/2], [2, 2], [-1, -1], [-15/4, -15/4], [-4, -4]]]
], [[7, 5, 4, 2, 2], [And(0 < v,v < 1), v < u, x = -1, y = -u^2+v^2, z = -(u^2
-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [-1, -1], [-15/4, -15/4],
[-2285319/1048576, -1142659/524288]]]], [[7, 5, 4, 2, 3], [And(0 < v,v < 1), v
< 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], [2, 2], [-1, -1], [-15/4, -15/4], [0, 0]]]], [[7,
5, 4, 2, 4], [And(0 < v,v < 1), v < u, x = -1, y = -u^2+v^2, z = (u^2-v^2+1)^(
1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [-1, -1], [-15/4, -15/4], [1142659
/524288, 2285319/1048576]]]], [[7, 5, 4, 2, 5], [And(0 < v,v < 1), v < u, x =
-1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [2, 2],
[-1, -1], [-15/4, -15/4], [4, 4]]]], [[8, 5, 1, 2, 1], [v = 1, And(0 < u,u < 1
), x < -1, y = u^2+x, z < -u], [regular_chain, [[1, 1], [1/2, 1/2], [-2, -2],
[-7/4, -7/4], [-2, -2]]]], [[8, 5, 1, 2, 2], [v = 1, And(0 < u,u < 1), x < -1,
y = u^2+x, z = -u], [regular_chain, [[1, 1], [1/2, 1/2], [-2, -2], [-7/4, -7/4
], [-1/2, -1/2]]]], [[8, 5, 1, 2, 3], [v = 1, And(0 < u,u < 1), x < -1, y = u^
2+x, And(-u < z,z < u)], [regular_chain, [[1, 1], [1/2, 1/2], [-2, -2], [-7/4,
-7/4], [0, 0]]]], [[8, 5, 1, 2, 4], [v = 1, And(0 < u,u < 1), x < -1, y = u^2+
x, z = u], [regular_chain, [[1, 1], [1/2, 1/2], [-2, -2], [-7/4, -7/4], [1/2,
1/2]]]], [[8, 5, 1, 2, 5], [v = 1, And(0 < u,u < 1), x < -1, y = u^2+x, u < z]
, [regular_chain, [[1, 1], [1/2, 1/2], [-2, -2], [-7/4, -7/4], [2, 2]]]], [[10
, 11, 1, 5, 1], [v = 2^(1/2), v < u, x < -u^2+1, -u^2-x+1 < y, z < -(u^2-1)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9, -9], [2,
2], [-4, -4]]]], [[10, 11, 1, 5, 2], [v = 2^(1/2), v < u, x < -u^2+1, -u^2-x+1
< y, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3, 3], [-9, -9], [2, 2], [-2965821/1048576, -11863283/4194304]]]], [[10, 11, 1
, 5, 3], [v = 2^(1/2), v < u, x < -u^2+1, -u^2-x+1 < y, And(-(u^2-1)^(1/2) < z
,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3
], [-9, -9], [2, 2], [-3/8388608, -3/8388608]]]], [[10, 11, 1, 5, 4], [v = 2^(
1/2), v < u, x < -u^2+1, -u^2-x+1 < y, z = (u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [-9, -9], [2, 2], [741455/262144, 
2965821/1048576]]]], [[10, 11, 1, 5, 5], [v = 2^(1/2), v < u, x < -u^2+1, -u^2
-x+1 < y, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576
], [3, 3], [-9, -9], [2, 2], [4, 4]]]], [[11, 4, 6, 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, 4, 6, 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,
4, 6, 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]]]], [[1, 4, 3, 1, 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], [-2, -2], [-1, -1]]]], [[1, 4, 3, 1, 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], [-2, -2], [0, 0]]]],
[[1, 4, 3, 1, 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], [-2, -2], [1, 1]]]], [[1, 9, 3, 2, 1], [v < -2^(1/2), And((v^2-2)^(1
/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1, z = z
], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-128885/
524288, -128885/524288], [-3163225/4194304, -395403/524288], [0, 0]]]], [[2, 6
, 3, 3, 1], [v = -2^(1/2), u = 0, And(-1 < x,x < 1), And(x-1 < y,y < -x+1), z
= z], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [0, 0], [0,
0], [0, 0]]]], [[2, 11, 4, 1, 1], [v = -2^(1/2), -v < u, x = -1, y < -u^2+2, z
< -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3]
, [-1, -1], [-8, -8], [-4, -4]]]], [[2, 11, 4, 1, 2], [v = -2^(1/2), -v < u, x
= -1, y < -u^2+2, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [-1, -1], [-8, -8], [-2965821/1048576, -11863283/
4194304]]]], [[2, 11, 4, 1, 3], [v = -2^(1/2), -v < 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], [-8, -8], [-3/8388608, -3/8388608]]]], [[2,
11, 4, 1, 4], [v = -2^(1/2), -v < u, x = -1, y < -u^2+2, z = (u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1, -1], [-8, -8]
, [741455/262144, 2965821/1048576]]]], [[2, 11, 4, 1, 5], [v = -2^(1/2), -v <
u, x = -1, y < -u^2+2, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [3, 3], [-1, -1], [-8, -8], [4, 4]]]], [[4, 5, 1, 3, 1], [v =
-1, And(0 < u,u < 1), x < -1, And(u^2+x < y,y < -u^2-x), z < -u], [
regular_chain, [[-1, -1], [1/2, 1/2], [-2, -2], [0, 0], [-2, -2]]]], [[4, 5, 1
, 3, 2], [v = -1, And(0 < u,u < 1), x < -1, And(u^2+x < y,y < -u^2-x), z = -u]
, [regular_chain, [[-1, -1], [1/2, 1/2], [-2, -2], [0, 0], [-1/2, -1/2]]]], [[
4, 5, 1, 3, 3], [v = -1, And(0 < u,u < 1), x < -1, And(u^2+x < y,y < -u^2-x),
And(-u < z,z < u)], [regular_chain, [[-1, -1], [1/2, 1/2], [-2, -2], [0, 0], [
0, 0]]]], [[4, 5, 1, 3, 4], [v = -1, And(0 < u,u < 1), x < -1, And(u^2+x < y,y
< -u^2-x), z = u], [regular_chain, [[-1, -1], [1/2, 1/2], [-2, -2], [0, 0], [1
/2, 1/2]]]], [[4, 5, 1, 3, 5], [v = -1, And(0 < u,u < 1), x < -1, And(u^2+x <
y,y < -u^2-x), u < z], [regular_chain, [[-1, -1], [1/2, 1/2], [-2, -2], [0, 0]
, [2, 2]]]], [[5, 3, 1, 4, 1], [And(-1 < v,v < 0), And(v < u,u < -v), 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], [-2, -2], [5/4, 5/4], [-2, -2]]]], [[5, 3, 1, 4, 2], [And(-1 < v,v < 0), 
And(v < u,u < -v), 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], [-2, -2], [5/4, 5/4], [-1816187/2097152,
-3632373/4194304]]]], [[5, 3, 1, 4, 3], [And(-1 < v,v < 0), And(v < u,u < -v),
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], [-2, -2], [5/4, 5/4], [-1/8388608, -1/
8388608]]]], [[5, 3, 1, 4, 4], [And(-1 < v,v < 0), And(v < u,u < -v), 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
], [-2, -2], [5/4, 5/4], [908093/1048576, 454047/524288]]]], [[5, 3, 1, 4, 5],
[And(-1 < v,v < 0), And(v < u,u < -v), 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], [-2, -2], [5/4, 5/4], [2, 2]
]]], [[7, 5, 6, 2, 1], [And(0 < v,v < 1), v < u, x = 1, y = -u^2+v^2-2, z < -(
u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [1, 1], [-23/4, -23/4]
, [-4, -4]]]], [[7, 5, 6, 2, 2], [And(0 < v,v < 1), v < u, x = 1, y = -u^2+v^2
-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [1, 1], [-23
/4, -23/4], [-2285319/1048576, -1142659/524288]]]], [[7, 5, 6, 2, 3], [And(0 <
v,v < 1), v < 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], [2, 2], [1, 1], [-23/4, -23/4], [0,
0]]]], [[7, 5, 6, 2, 4], [And(0 < v,v < 1), v < u, x = 1, y = -u^2+v^2-2, z =
(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [1, 1], [-23/4, -23/4
], [1142659/524288, 2285319/1048576]]]], [[7, 5, 6, 2, 5], [And(0 < v,v < 1),
v < u, x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1
/2], [2, 2], [1, 1], [-23/4, -23/4], [4, 4]]]], [[8, 5, 4, 1, 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], [-1, -1], [-2, -2]]]], [[8, 5, 4, 1, 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],
[-1, -1], [-1/2, -1/2]]]], [[8, 5, 4, 1, 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
], [-1, -1], [0, 0]]]], [[8, 5, 4, 1, 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], [-1, -1], [1
/2, 1/2]]]], [[8, 5, 4, 1, 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], [-1, -1], [2, 2]]]], [[
10, 10, 4, 1, 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], [
-3, -3], [-2, -2]]]], [[10, 10, 4, 1, 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], [-3, -3], [-1, -1]]]], [[10, 10, 4, 1, 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], [-3, -3], [0, 0]
]]], [[10, 10, 4, 1, 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], [-3, -3], [1, 1]]]], [[10, 10, 4, 1, 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], [-3, -3], [2, 2]]]], [[11, 4, 3, 5, 1
], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-1 < x,x < 0), -x < y, z < 0], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [
2, 2], [-1, -1]]]], [[11, 4, 3, 5, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-\
1 < x,x < 0), -x < y, z = 0], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [-1/2, -1/2], [2, 2], [0, 0]]]], [[11, 4, 3, 5, 3], [2^(1/2
) < v, u = -(v^2-1)^(1/2), And(-1 < x,x < 0), -x < y, 0 < z], [regular_chain,
[[3, 3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [2, 2], [1, 1]]]
], [[1, 11, 5, 2, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v
^2-1 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[
-3, -3], [6111549/2097152, 6111549/2097152], [532005/2097152, 532005/2097152],
[-1565149/2097152, -391287/524288], [-2, -2]]]], [[1, 11, 5, 2, 2], [v < -2^(1
/2), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-\
1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [532005/2097152, 532005/2097152], [-1565149/2097152, -391287
/524288], [-735979/1048576, -1471957/2097152]]]], [[1, 11, 5, 2, 3], [v < -2^(
1/2), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x
-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3,
-3], [6111549/2097152, 6111549/2097152], [532005/2097152, 532005/2097152], [-\
1565149/2097152, -391287/524288], [-1/4194304, -1/4194304]]]], [[1, 11, 5, 2,
4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 1), y
= -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [532005/2097152, 532005/2097152], [-1565149/2097152
, -391287/524288], [367989/524288, 735979/1048576]]]], [[1, 11, 5, 2, 5], [v <
-2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v
^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [532005/2097152, 532005/2097152], [-1565149/2097152, -391287
/524288], [2, 2]]]], [[2, 3, 5, 3, 1], [v = -2^(1/2), And(v < u,u < -1), And(-
u^2+1 < x,x < 1), And(-u^2-x+1 < y,y < u^2+x-1), z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [284633/1048576, 284633/1048576], [-1/4194304, -1/4194304],
[-2, -2]]]], [[2, 3, 5, 3, 2], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 <
x,x < 1), And(-u^2-x+1 < y,y < u^2+x-1), z = -(u^2-1)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [
284633/1048576, 284633/1048576], [-1/4194304, -1/4194304], [-1417877/2097152,
-354469/524288]]]], [[2, 3, 5, 3, 3], [v = -2^(1/2), And(v < u,u < -1), And(-u
^2+1 < x,x < 1), And(-u^2-x+1 < y,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], [284633/1048576, 284633/1048576], [-1/4194304, -1/
4194304], [0, 0]]]], [[2, 3, 5, 3, 4], [v = -2^(1/2), And(v < u,u < -1), And(-
u^2+1 < x,x < 1), And(-u^2-x+1 < y,y < u^2+x-1), z = (u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [284633/1048576, 284633/1048576], [-1/4194304, -1/4194304],
[354469/524288, 708939/1048576]]]], [[2, 3, 5, 3, 5], [v = -2^(1/2), And(v < u
,u < -1), And(-u^2+1 < x,x < 1), And(-u^2-x+1 < y,y < u^2+x-1), (u^2-1)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576,
-1265743/1048576], [284633/1048576, 284633/1048576], [-1/4194304, -1/4194304],
[2, 2]]]], [[3, 2, 5, 4, 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, 2, 5, 4, 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, 2, 5, 4, 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, 2, 5, 4, 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, 2, 5, 4, 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, 7, 3, 3, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -
v), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -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], [0, 0], [-2
, -2]]]], [[3, 7, 3, 3, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u
< -v), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -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], [0, 0], [-\
1374407/2097152, -687203/1048576]]]], [[3, 7, 3, 3, 3], [And(-2^(1/2) < v,v <
-1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+
1 < y,y < -u^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], [0, 0], [0, 0]]]], [[3, 7, 3, 3, 4
], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u
^2+v^2-1), And(u^2-v^2+x+1 < y,y < -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], [0, 0], [687203/1048576, 171801/
262144]]]], [[3, 7, 3, 3, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u
,u < -v), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -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], [0, 0], [2
, 2]]]], [[5, 5, 5, 4, 1], [And(-1 < v,v < 0), -v < u, And(-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], [2, 2], [
0, 0], [19/4, 19/4], [-4, -4]]]], [[5, 5, 5, 4, 2], [And(-1 < v,v < 0), -v < u
, And(-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], [2, 2], [0, 0], [19/4, 19/4], [-2285319/1048576, -1142659/
524288]]]], [[5, 5, 5, 4, 3], [And(-1 < v,v < 0), -v < u, And(-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], [2, 2], [0, 0], [19/4, 19/4], [0, 0]]]], [[5, 5,
5, 4, 4], [And(-1 < v,v < 0), -v < u, And(-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], [2, 2], [0, 0], [19/4, 19/4
], [1142659/524288, 2285319/1048576]]]], [[5, 5, 5, 4, 5], [And(-1 < v,v < 0),
-v < u, And(-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], [2, 2], [0, 0], [19/4, 19/4], [4, 4]]]], [[7, 2,
3, 5, 1], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 1), x+1 < y, z < -1], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [0, 0], [2, 2], [-2, -2]]]], [[7, 2,
3, 5, 2], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 1), x+1 < y, z = -1], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [0, 0], [2, 2], [-1, -1]]]], [[7, 2,
3, 5, 3], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 1), x+1 < y, And(-1 < z,z
< 1)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [0, 0], [2, 2], [0, 0]]]], [
[7, 2, 3, 5, 4], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 1), x+1 < y, z = 1]
, [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [0, 0], [2, 2], [1, 1]]]], [[7, 2
, 3, 5, 5], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 1), x+1 < y, 1 < z], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [0, 0], [2, 2], [2, 2]]]], [[9, 1, 1
, 1, 1], [And(1 < v,v < 2^(1/2)), 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], [-3,
-3], [-10, -10], [-3, -3], [-4, -4]]]], [[9, 1, 1, 1, 2], [And(1 < v,v < 2^(1/
2)), 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], [-3, -3], [-10, -10], [-3,
-3], [-1532401/524288, -24518415/8388608]]]], [[9, 1, 1, 1, 3], [And(1 < v,v <
2^(1/2)), 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],
[-3, -3], [-10, -10], [-3, -3], [-7/16777216, -7/16777216]]]], [[9, 1, 1, 1, 4
], [And(1 < v,v < 2^(1/2)), 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], [-3, -3],
[-10, -10], [-3, -3], [3064801/1048576, 1532401/524288]]]], [[9, 1, 1, 1, 5],
[And(1 < v,v < 2^(1/2)), 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], [-3, -3], [-\
10, -10], [-3, -3], [4, 4]]]], [[9, 5, 6, 2, 1], [And(1 < v,v < 2^(1/2)), And(
-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [-1138531/
2097152, -569265/1048576], [0, 0]]]], [[10, 3, 3, 5, 1], [v = 2^(1/2), And(-v
< u,u < -1), And(-1 < x,x < -u^2+1), -u^2-x+1 < y, z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-1527887/2097152, -1527887/2097152], [2, 2], [-2, -2]]]], [[10, 3,
3, 5, 2], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), -u^2-x+1 <
y, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [2,
2], [-1417877/2097152, -354469/524288]]]], [[10, 3, 3, 5, 3], [v = 2^(1/2), 
And(-v < u,u < -1), And(-1 < x,x < -u^2+1), -u^2-x+1 < y, 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], [2,
2], [0, 0]]]], [[10, 3, 3, 5, 4], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x
,x < -u^2+1), -u^2-x+1 < y, z = (u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1527887/
2097152, -1527887/2097152], [2, 2], [354469/524288, 708939/1048576]]]], [[10,
3, 3, 5, 5], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), -u^2-x+
1 < y, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[-1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [2
, 2], [2, 2]]]], [[10, 8, 2, 1, 1], [v = 2^(1/2), u = 1, x = -1, y < -1, z < 0
], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1, -1], [-2, -\
2], [-1, -1]]]], [[10, 8, 2, 1, 2], [v = 2^(1/2), u = 1, x = -1, y < -1, z = 0
], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1, -1], [-2, -\
2], [0, 0]]]], [[10, 8, 2, 1, 3], [v = 2^(1/2), u = 1, x = -1, y < -1, 0 < z],
[regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1, -1], [-2, -2],
[1, 1]]]], [[11, 7, 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+2, z = z], [regular_chain, [[3, 3], [0, 0], [1, 1]
, [-7, -7], [0, 0]]]], [[11, 12, 2, 3, 1], [2^(1/2) < v, u = v, x = -1, 0 < y,
z < -1], [regular_chain, [[3, 3], [3, 3], [-1, -1], [1, 1], [-2, -2]]]], [[11,
12, 2, 3, 2], [2^(1/2) < v, u = v, x = -1, 0 < y, z = -1], [regular_chain, [[3
, 3], [3, 3], [-1, -1], [1, 1], [-1, -1]]]], [[11, 12, 2, 3, 3], [2^(1/2) < v,
u = v, x = -1, 0 < y, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [3, 3], [-1
, -1], [1, 1], [0, 0]]]], [[11, 12, 2, 3, 4], [2^(1/2) < v, u = v, x = -1, 0 <
y, z = 1], [regular_chain, [[3, 3], [3, 3], [-1, -1], [1, 1], [1, 1]]]], [[11,
12, 2, 3, 5], [2^(1/2) < v, u = v, x = -1, 0 < y, 1 < z], [regular_chain, [[3,
3], [3, 3], [-1, -1], [1, 1], [2, 2]]]], [[1, 4, 3, 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, 4, 3, 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, 4, 3, 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, 9, 3, 3, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < 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 < -u^2+v^2-x-1), z = z], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-128885/524288, -\
128885/524288], [0, 0], [0, 0]]]], [[2, 6, 3, 2, 1], [v = -2^(1/2), u = 0, And
(-1 < x,x < 1), y = x-1, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [0, 0], [0, 0], [-1, -1], [0, 0]]]], [[2, 11, 3, 5, 1], [v = -2^(1/2)
, -v < u, And(-u^2+1 < x,x < -1), u^2+x-1 < y, z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9/2, -9/2], [5,
5], [-4, -4]]]], [[2, 11, 3, 5, 2], [v = -2^(1/2), -v < u, And(-u^2+1 < x,x <
-1), u^2+x-1 < y, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [-9/2, -9/2], [5, 5], [-2965821/1048576, -11863283/
4194304]]]], [[2, 11, 3, 5, 3], [v = -2^(1/2), -v < u, And(-u^2+1 < x,x < -1),
u^2+x-1 < y, 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], [5, 5], [-3/8388608, -\
3/8388608]]]], [[2, 11, 3, 5, 4], [v = -2^(1/2), -v < u, And(-u^2+1 < x,x < -1
), u^2+x-1 < y, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [-9/2, -9/2], [5, 5], [741455/262144, 2965821/1048576]
]]], [[2, 11, 3, 5, 5], [v = -2^(1/2), -v < u, And(-u^2+1 < x,x < -1), u^2+x-1
< y, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[3, 3], [-9/2, -9/2], [5, 5], [4, 4]]]], [[4, 5, 1, 4, 1], [v = -1, And(0 < u,
u < 1), x < -1, y = -u^2-x, z < -u], [regular_chain, [[-1, -1], [1/2, 1/2], [-\
2, -2], [7/4, 7/4], [-2, -2]]]], [[4, 5, 1, 4, 2], [v = -1, And(0 < u,u < 1),
x < -1, y = -u^2-x, z = -u], [regular_chain, [[-1, -1], [1/2, 1/2], [-2, -2],
[7/4, 7/4], [-1/2, -1/2]]]], [[4, 5, 1, 4, 3], [v = -1, And(0 < u,u < 1), x <
-1, y = -u^2-x, And(-u < z,z < u)], [regular_chain, [[-1, -1], [1/2, 1/2], [-2
, -2], [7/4, 7/4], [0, 0]]]], [[4, 5, 1, 4, 4], [v = -1, And(0 < u,u < 1), x <
-1, y = -u^2-x, z = u], [regular_chain, [[-1, -1], [1/2, 1/2], [-2, -2], [7/4,
7/4], [1/2, 1/2]]]], [[4, 5, 1, 4, 5], [v = -1, And(0 < u,u < 1), x < -1, y =
-u^2-x, u < z], [regular_chain, [[-1, -1], [1/2, 1/2], [-2, -2], [7/4, 7/4], [
2, 2]]]], [[5, 3, 1, 5, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x < -1, -u^
2+v^2-x-1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0],
[-2, -2], [3, 3], [-2, -2]]]], [[5, 3, 1, 5, 2], [And(-1 < v,v < 0), And(v < u
,u < -v), x < -1, -u^2+v^2-x-1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [
[-1/2, -1/2], [0, 0], [-2, -2], [3, 3], [-1816187/2097152, -3632373/4194304]]]
], [[5, 3, 1, 5, 3], [And(-1 < v,v < 0), And(v < u,u < -v), x < -1, -u^2+v^2-x
-1 < y, 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], [3, 3], [-1/8388608, -1/8388608]]]], [[5, 3, 1,
5, 4], [And(-1 < v,v < 0), And(v < u,u < -v), x < -1, -u^2+v^2-x-1 < y, z = (u
^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-2, -2], [3, 3], [
908093/1048576, 454047/524288]]]], [[5, 3, 1, 5, 5], [And(-1 < v,v < 0), And(v
< u,u < -v), x < -1, -u^2+v^2-x-1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain,
[[-1/2, -1/2], [0, 0], [-2, -2], [3, 3], [2, 2]]]], [[7, 5, 6, 1, 1], [And(0 <
v,v < 1), v < u, x = 1, y < -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [2, 2], [1, 1], [-7, -7], [-4, -4]]]], [[7, 5, 6,
1, 2], [And(0 < v,v < 1), v < u, x = 1, y < -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)
], [regular_chain, [[1/2, 1/2], [2, 2], [1, 1], [-7, -7], [-2285319/1048576, -\
1142659/524288]]]], [[7, 5, 6, 1, 3], [And(0 < v,v < 1), v < 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], [2, 2], [1, 1], [-7, -7], [0, 0]]]], [[7, 5, 6, 1, 4], [And(0 < v,
v < 1), v < u, x = 1, y < -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [regular_chain,
[[1/2, 1/2], [2, 2], [1, 1], [-7, -7], [1142659/524288, 2285319/1048576]]]], [
[7, 5, 6, 1, 5], [And(0 < v,v < 1), v < u, x = 1, y < -u^2+v^2-2, (u^2-v^2+1)^
(1/2) < z], [regular_chain, [[1/2, 1/2], [2, 2], [1, 1], [-7, -7], [4, 4]]]],
[[8, 5, 3, 5, 1], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u^2), -u^2-x < y,
z < -u], [regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [2, 2], [-2, -2]]]
], [[8, 5, 3, 5, 2], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u^2), -u^2-x <
y, z = -u], [regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [2, 2], [-1/2,
-1/2]]]], [[8, 5, 3, 5, 3], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u^2), -u
^2-x < y, And(-u < z,z < u)], [regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8
], [2, 2], [0, 0]]]], [[8, 5, 3, 5, 4], [v = 1, And(0 < u,u < 1), And(-1 < x,x
< -u^2), -u^2-x < y, z = u], [regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8]
, [2, 2], [1/2, 1/2]]]], [[8, 5, 3, 5, 5], [v = 1, And(0 < u,u < 1), And(-1 <
x,x < -u^2), -u^2-x < y, u < z], [regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -\
5/8], [2, 2], [2, 2]]]], [[10, 10, 4, 2, 1], [v = 2^(1/2), u = v, x = 1, y = -\
2, z < -1], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288,
1482911/1048576], [1, 1], [-2, -2], [-2, -2]]]], [[10, 10, 4, 2, 2], [v = 2^(1
/2), u = v, x = 1, y = -2, z = -1], [regular_chain, [[741455/524288, 1482911/
1048576], [741455/524288, 1482911/1048576], [1, 1], [-2, -2], [-1, -1]]]], [[
10, 10, 4, 2, 3], [v = 2^(1/2), u = v, x = 1, y = -2, And(-1 < z,z < 1)], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [1, 1], [-2, -2], [0, 0]]]], [[10, 10, 4, 2, 4], [v = 2^(1/2), u = v
, x = 1, y = -2, z = 1], [regular_chain, [[741455/524288, 1482911/1048576], [
741455/524288, 1482911/1048576], [1, 1], [-2, -2], [1, 1]]]], [[10, 10, 4, 2,
5], [v = 2^(1/2), u = v, x = 1, y = -2, 1 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [741455/524288, 1482911/1048576], [1, 1], [-2, -2],
[2, 2]]]], [[11, 4, 4, 1, 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]
, [-1, -1], [-1, -1]]]], [[11, 4, 4, 1, 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], [-1, -1], [0, 0]]]], [[11, 4, 4, 1, 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], [-1, -1], [1, 1]]]], [[1, 11, 5, 3, 1], [v < -2^
(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2-
x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3],
[6111549/2097152, 6111549/2097152], [532005/2097152, 532005/2097152], [0, 0],
[-2, -2]]]], [[1, 11, 5, 3, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^
2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [
532005/2097152, 532005/2097152], [0, 0], [-735979/1048576, -1471957/2097152]]]
], [[1, 11, 5, 3, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v
^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^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], [532005/2097152, 532005/2097152], [0, 0], [-1/4194304, -1/
4194304]]]], [[1, 11, 5, 3, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2-v^2
+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [
532005/2097152, 532005/2097152], [0, 0], [367989/524288, 735979/1048576]]]], [
[1, 11, 5, 3, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1
< x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [532005/2097152,
532005/2097152], [0, 0], [2, 2]]]], [[2, 3, 5, 4, 1], [v = -2^(1/2), And(v < u
,u < -1), And(-u^2+1 < x,x < 1), y = u^2+x-1, z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [284633/1048576, 284633/1048576], [763943/1048576, 95493/
131072], [-2, -2]]]], [[2, 3, 5, 4, 2], [v = -2^(1/2), And(v < u,u < -1), And(
-u^2+1 < x,x < 1), y = u^2+x-1, z = -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [
284633/1048576, 284633/1048576], [763943/1048576, 95493/131072], [-1417877/
2097152, -354469/524288]]]], [[2, 3, 5, 4, 3], [v = -2^(1/2), And(v < 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, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [284633/1048576, 284633/1048576], [763943/1048576, 95493/
131072], [0, 0]]]], [[2, 3, 5, 4, 4], [v = -2^(1/2), And(v < u,u < -1), And(-u
^2+1 < x,x < 1), y = u^2+x-1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [284633/
1048576, 284633/1048576], [763943/1048576, 95493/131072], [354469/524288, 
708939/1048576]]]], [[2, 3, 5, 4, 5], [v = -2^(1/2), And(v < u,u < -1), And(-u
^2+1 < x,x < 1), y = u^2+x-1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [284633/
1048576, 284633/1048576], [763943/1048576, 95493/131072], [2, 2]]]], [[3, 2, 5
, 3, 1], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, And(-1-x < y,y < x+1), z < -\
1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576,
-1265743/1048576], [2, 2], [0, 0], [-2, -2]]]], [[3, 2, 5, 3, 2], [And(-2^(1/2
) < v,v < -1), u = v, 1 < x, And(-1-x < y,y < x+1), z = -1], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [2
, 2], [0, 0], [-1, -1]]]], [[3, 2, 5, 3, 3], [And(-2^(1/2) < v,v < -1), u = v,
1 < x, And(-1-x < y,y < x+1), And(-1 < z,z < 1)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [0,
0], [0, 0]]]], [[3, 2, 5, 3, 4], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, And(
-1-x < y,y < x+1), z = 1], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [0, 0], [1, 1]]]], [[3
, 2, 5, 3, 5], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, And(-1-x < y,y < x+1),
1 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [2, 2], [0, 0], [2, 2]]]], [[3, 7, 3, 2, 1], [And(
-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1
), y = u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288,
-374737/524288], [-299103/1048576, -149551/524288], [-2, -2]]]], [[3, 7, 3, 2,
2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -
u^2+v^2-1), y = u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-374737
/524288, -374737/524288], [-299103/1048576, -149551/524288], [-1374407/2097152
, -687203/1048576]]]], [[3, 7, 3, 2, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1
)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1, And(-(u^2-v^
2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/
524288], [-299103/1048576, -149551/524288], [0, 0]]]], [[3, 7, 3, 2, 4], [And(
-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1
), y = u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288, -\
374737/524288], [-299103/1048576, -149551/524288], [687203/1048576, 171801/
262144]]]], [[3, 7, 3, 2, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u
,u < -v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341
/1048576], [-374737/524288, -374737/524288], [-299103/1048576, -149551/524288]
, [2, 2]]]], [[5, 5, 5, 5, 1], [And(-1 < v,v < 0), -v < u, And(-1 < x,x < 1),
u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2
], [0, 0], [6, 6], [-4, -4]]]], [[5, 5, 5, 5, 2], [And(-1 < v,v < 0), -v < u,
And(-1 < x,x < 1), u^2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [
[-1/2, -1/2], [2, 2], [0, 0], [6, 6], [-2285319/1048576, -1142659/524288]]]],
[[5, 5, 5, 5, 3], [And(-1 < v,v < 0), -v < u, And(-1 < x,x < 1), u^2-v^2+x+1 <
y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2,
-1/2], [2, 2], [0, 0], [6, 6], [0, 0]]]], [[5, 5, 5, 5, 4], [And(-1 < v,v < 0)
, -v < u, And(-1 < x,x < 1), u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [2, 2], [0, 0], [6, 6], [1142659/524288, 2285319
/1048576]]]], [[5, 5, 5, 5, 5], [And(-1 < v,v < 0), -v < u, And(-1 < x,x < 1),
u^2-v^2+x+1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [2, 2]
, [0, 0], [6, 6], [4, 4]]]], [[7, 2, 4, 1, 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], [-3, -3
], [-2, -2]]]], [[7, 2, 4, 1, 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], [-3, -3], [-1, -1]]]
], [[7, 2, 4, 1, 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], [-3, -3], [0, 0]]]], [
[7, 2, 4, 1, 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], [-3, -3], [1, 1]]]], [[7, 2,
4, 1, 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], [-3, -3], [2, 2]]]], [[8, 7, 7, 5, 1], [v = 1
, 1 < u, 1 < x, u^2+x < y, z < -u], [regular_chain, [[1, 1], [2, 2], [2, 2], [
7, 7], [-3, -3]]]], [[8, 7, 7, 5, 2], [v = 1, 1 < u, 1 < x, u^2+x < y, z = -u]
, [regular_chain, [[1, 1], [2, 2], [2, 2], [7, 7], [-2, -2]]]], [[8, 7, 7, 5,
3], [v = 1, 1 < u, 1 < x, u^2+x < y, And(-u < z,z < u)], [regular_chain, [[1,
1], [2, 2], [2, 2], [7, 7], [0, 0]]]], [[8, 7, 7, 5, 4], [v = 1, 1 < u, 1 < x,
u^2+x < y, z = u], [regular_chain, [[1, 1], [2, 2], [2, 2], [7, 7], [2, 2]]]],
[[8, 7, 7, 5, 5], [v = 1, 1 < u, 1 < x, u^2+x < y, u < z], [regular_chain, [[1
, 1], [2, 2], [2, 2], [7, 7], [3, 3]]]], [[9, 5, 6, 1, 1], [And(1 < v,v < 2^(1
/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y < -u^2+v^2-2, z = z]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [-2, -2
], [0, 0]]]], [[10, 3, 4, 1, 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], [-1,
-1], [-2, -2]]]], [[10, 3, 4, 1, 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], [-1, -1], [-1417877/2097152, -354469/524288]]]], [[10, 3, 4, 1, 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], [-1, -1], [0, 0
]]]], [[10, 3, 4, 1, 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], [-1, -1
], [354469/524288, 708939/1048576]]]], [[10, 3, 4, 1, 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], [-1, -1], [2, 2]]]], [[10, 8, 2, 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, 2, 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, 2, 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]]]], [[11, 7, 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+2, z = z], [
regular_chain, [[3, 3], [0, 0], [1, 1], [-8, -8], [0, 0]]]], [[11, 12, 2, 2, 1
], [2^(1/2) < v, u = v, x = -1, y = 0, z < -1], [regular_chain, [[3, 3], [3, 3
], [-1, -1], [0, 0], [-2, -2]]]], [[11, 12, 2, 2, 2], [2^(1/2) < v, u = v, x =
-1, y = 0, z = -1], [regular_chain, [[3, 3], [3, 3], [-1, -1], [0, 0], [-1, -1
]]]], [[11, 12, 2, 2, 3], [2^(1/2) < v, u = v, x = -1, y = 0, And(-1 < z,z < 1
)], [regular_chain, [[3, 3], [3, 3], [-1, -1], [0, 0], [0, 0]]]], [[11, 12, 2,
2, 4], [2^(1/2) < v, u = v, x = -1, y = 0, z = 1], [regular_chain, [[3, 3], [3
, 3], [-1, -1], [0, 0], [1, 1]]]], [[11, 12, 2, 2, 5], [2^(1/2) < v, u = v, x
= -1, y = 0, 1 < z], [regular_chain, [[3, 3], [3, 3], [-1, -1], [0, 0], [2, 2]
]]], [[1, 4, 3, 3, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), 
And(x < y,y < -x), z < 0], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [-1/2, -1/2], [0, 0], [-1, -1]]]], [[1, 4, 3, 3, 2], [v < -
2^(1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < -x), z = 0], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2],
[0, 0], [0, 0]]]], [[1, 4, 3, 3, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-1
< x,x < 0), And(x < y,y < -x), 0 < z], [regular_chain, [[-3, -3], [-2965821/
1048576, -11863283/4194304], [-1/2, -1/2], [0, 0], [1, 1]]]], [[1, 9, 2, 5, 1]
, [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, -u^2+v^2 <
y, z = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1, -\
1], [3, 3], [0, 0]]]], [[2, 6, 3, 5, 1], [v = -2^(1/2), u = 0, And(-1 < x,x <
1), -x+1 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [0,
0], [0, 0], [2, 2], [0, 0]]]], [[2, 11, 3, 4, 1], [v = -2^(1/2), -v < 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, 11, 3, 4, 2], [v = -2^(1/2), -v < 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, 11, 3, 4, 3], [v = -2^(1/2), -v < 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, 11, 3, 4, 4], [v = -2^(1/2), -v < 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, 11
, 3, 4, 5], [v = -2^(1/2), -v < 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]]]], [[4, 5, 1, 5, 1], [v = -1, And(0 < u,u < 1),
x < -1, -u^2-x < y, z < -u], [regular_chain, [[-1, -1], [1/2, 1/2], [-2, -2],
[3, 3], [-2, -2]]]], [[4, 5, 1, 5, 2], [v = -1, And(0 < u,u < 1), x < -1, -u^2
-x < y, z = -u], [regular_chain, [[-1, -1], [1/2, 1/2], [-2, -2], [3, 3], [-1/
2, -1/2]]]], [[4, 5, 1, 5, 3], [v = -1, And(0 < u,u < 1), x < -1, -u^2-x < y,
And(-u < z,z < u)], [regular_chain, [[-1, -1], [1/2, 1/2], [-2, -2], [3, 3], [
0, 0]]]], [[4, 5, 1, 5, 4], [v = -1, And(0 < u,u < 1), x < -1, -u^2-x < y, z =
u], [regular_chain, [[-1, -1], [1/2, 1/2], [-2, -2], [3, 3], [1/2, 1/2]]]], [[
4, 5, 1, 5, 5], [v = -1, And(0 < u,u < 1), x < -1, -u^2-x < y, u < z], [
regular_chain, [[-1, -1], [1/2, 1/2], [-2, -2], [3, 3], [2, 2]]]], [[5, 3, 1,
2, 1], [And(-1 < v,v < 0), And(v < u,u < -v), 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], [-2, -2], [-5/4, -5/4
], [-2, -2]]]], [[5, 3, 1, 2, 2], [And(-1 < v,v < 0), And(v < u,u < -v), 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], [-2, -2], [-5/4, -5/4], [-1816187/2097152, -3632373/4194304]]]], [[5, 3,
1, 2, 3], [And(-1 < v,v < 0), And(v < u,u < -v), 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], [-2, -2], [-5/4, -5/4], [-1/8388608, -1/8388608]]]], [[5, 3, 1, 2, 4],
[And(-1 < v,v < 0), And(v < u,u < -v), 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], [-2, -2], [-5/4, -5/4], [
908093/1048576, 454047/524288]]]], [[5, 3, 1, 2, 5], [And(-1 < v,v < 0), And(v
< u,u < -v), 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], [-2, -2], [-5/4, -5/4], [2, 2]]]], [[7, 5, 6, 4, 1], [
And(0 < v,v < 1), v < u, x = 1, y = u^2-v^2+2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [2, 2], [1, 1], [23/4, 23/4], [-4, -4]]]], [[7, 5,
6, 4, 2], [And(0 < v,v < 1), v < u, x = 1, y = u^2-v^2+2, z = -(u^2-v^2+1)^(1/
2)], [regular_chain, [[1/2, 1/2], [2, 2], [1, 1], [23/4, 23/4], [-2285319/
1048576, -1142659/524288]]]], [[7, 5, 6, 4, 3], [And(0 < v,v < 1), v < 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], [2, 2], [1, 1], [23/4, 23/4], [0, 0]]]], [[7, 5, 6
, 4, 4], [And(0 < v,v < 1), v < u, x = 1, y = u^2-v^2+2, z = (u^2-v^2+1)^(1/2)
], [regular_chain, [[1/2, 1/2], [2, 2], [1, 1], [23/4, 23/4], [1142659/524288,
2285319/1048576]]]], [[7, 5, 6, 4, 5], [And(0 < v,v < 1), v < u, x = 1, y = u^
2-v^2+2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [2, 2], [1, 1],
[23/4, 23/4], [4, 4]]]], [[8, 5, 3, 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, 5, 3, 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, 5, 3, 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, 5, 3, 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, 5, 3, 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]]]]
, [[10, 10, 4, 3, 1], [v = 2^(1/2), u = v, x = 1, And(-2 < y,y < 2), z < -1],
[regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [1, 1], [0, 0], [-2, -2]]]], [[10, 10, 4, 3, 2], [v = 2^(1/2), u = v
, x = 1, And(-2 < y,y < 2), z = -1], [regular_chain, [[741455/524288, 1482911/
1048576], [741455/524288, 1482911/1048576], [1, 1], [0, 0], [-1, -1]]]], [[10,
10, 4, 3, 3], [v = 2^(1/2), u = v, x = 1, And(-2 < y,y < 2), And(-1 < z,z < 1)
], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [1, 1], [0, 0], [0, 0]]]], [[10, 10, 4, 3, 4], [v = 2^(1/2), u = v,
x = 1, And(-2 < y,y < 2), z = 1], [regular_chain, [[741455/524288, 1482911/
1048576], [741455/524288, 1482911/1048576], [1, 1], [0, 0], [1, 1]]]], [[10, 
10, 4, 3, 5], [v = 2^(1/2), u = v, x = 1, And(-2 < y,y < 2), 1 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [1, 1], [0, 0], [2, 2]]]], [[11, 4, 3, 3, 1], [2^(1/2) < v, u = -(v^
2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < -x), z < 0], [regular_chain, [[3,
3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [0, 0], [-1, -1]]]],
[[11, 4, 3, 3, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(x
< y,y < -x), z = 0], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [-1/2, -1/2], [0, 0], [0, 0]]]], [[11, 4, 3, 3, 3], [2^(1/2) < v, u
= -(v^2-1)^(1/2), And(-1 < x,x < 0), And(x < y,y < -x), 0 < z], [regular_chain
, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [0, 0], [1, 1]
]]], [[1, 11, 5, 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], [532005/2097152, 532005/2097152]
, [391287/524288, 782575/1048576], [-2, -2]]]], [[1, 11, 5, 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], [532005/2097152, 532005/2097152], [391287/524288, 782575/1048576], [
-735979/1048576, -1471957/2097152]]]], [[1, 11, 5, 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], [532005/2097152, 532005/2097152], [391287/
524288, 782575/1048576], [-1/4194304, -1/4194304]]]], [[1, 11, 5, 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], [532005/2097152, 532005/2097152], [391287/524288, 782575/
1048576], [367989/524288, 735979/1048576]]]], [[1, 11, 5, 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], [532005/2097152, 532005/2097152], [391287/524288, 782575/1048576], [
2, 2]]]], [[2, 3, 5, 1, 1], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x
< 1), y < -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [284633/1048576, 284633/
1048576], [-2, -2], [-2, -2]]]], [[2, 3, 5, 1, 2], [v = -2^(1/2), And(v < u,u
< -1), And(-u^2+1 < x,x < 1), y < -u^2-x+1, z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [284633/1048576, 284633/1048576], [-2, -2], [-1417877/
2097152, -354469/524288]]]], [[2, 3, 5, 1, 3], [v = -2^(1/2), And(v < 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, [[-1482911/1048576, -741455/524288], [-1265743/1048576,
-1265743/1048576], [284633/1048576, 284633/1048576], [-2, -2], [0, 0]]]], [[2,
3, 5, 1, 4], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 1), y < -u^2
-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1265743/1048576, -1265743/1048576], [284633/1048576, 284633/1048576], [-2, -\
2], [354469/524288, 708939/1048576]]]], [[2, 3, 5, 1, 5], [v = -2^(1/2), And(v
< u,u < -1), And(-u^2+1 < x,x < 1), y < -u^2-x+1, (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [284633/1048576, 284633/1048576], [-2, -2], [2, 2]]]], [[3,
3, 1, 1, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x < -1,
y < u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2, -2], [-3, -3], [
-2, -2]]]], [[3, 3, 1, 1, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1
)^(1/2)), x < -1, y < u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2
, -2], [-3, -3], [-1374407/2097152, -687203/1048576]]]], [[3, 3, 1, 1, 3], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x < -1, y < u^2-v^2+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], [-3, -3], [0, 0]]]], [[3, 3, 1, 1, 4], [And(-2^(1/2) < v,v < -1), And(v <
u,u < -(v^2-1)^(1/2)), x < -1, y < u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2, -2], [-3, -3], [687203/1048576, 171801/262144]]]], [[3,
3, 1, 1, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x < -1,
y < u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2, -2], [-3, -3], [2
, 2]]]], [[3, 7, 3, 1, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u
< -v), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-374737/524288, -374737/524288], [-2, -2], [-2, -2]]]], [[3, 7, 3,
1, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x
< -u^2+v^2-1), y < u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-374737
/524288, -374737/524288], [-2, -2], [-1374407/2097152, -687203/1048576]]]], [[
3, 7, 3, 1, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(
-1 < x,x < -u^2+v^2-1), y < u^2-v^2+x+1, And(-(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], [-2, -2], [0, 0]]]
], [[3, 7, 3, 1, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v),
And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-374737/524288, -374737/524288], [-2, -2], [687203/1048576, 171801/
262144]]]], [[3, 7, 3, 1, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u
,u < -v), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341
/1048576], [-374737/524288, -374737/524288], [-2, -2], [2, 2]]]], [[5, 5, 6, 1
, 1], [And(-1 < v,v < 0), -v < u, x = 1, y < -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2
)], [regular_chain, [[-1/2, -1/2], [2, 2], [1, 1], [-7, -7], [-4, -4]]]], [[5,
5, 6, 1, 2], [And(-1 < v,v < 0), -v < u, x = 1, y < -u^2+v^2-2, z = -(u^2-v^2+
1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [1, 1], [-7, -7], [-2285319/
1048576, -1142659/524288]]]], [[5, 5, 6, 1, 3], [And(-1 < v,v < 0), -v < 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], [2, 2], [1, 1], [-7, -7], [0, 0]]]], [[5, 5, 6,
1, 4], [And(-1 < v,v < 0), -v < u, x = 1, y < -u^2+v^2-2, z = (u^2-v^2+1)^(1/2
)], [regular_chain, [[-1/2, -1/2], [2, 2], [1, 1], [-7, -7], [1142659/524288,
2285319/1048576]]]], [[5, 5, 6, 1, 5], [And(-1 < v,v < 0), -v < u, x = 1, y <
-u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [2, 2], [1,
1], [-7, -7], [4, 4]]]], [[7, 2, 3, 3, 1], [And(0 < v,v < 1), u = -v, And(-1 <
x,x < 1), And(-1-x < y,y < x+1), z < -1], [regular_chain, [[1/2, 1/2], [-1/2,
-1/2], [0, 0], [0, 0], [-2, -2]]]], [[7, 2, 3, 3, 2], [And(0 < v,v < 1), u = -
v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z = -1], [regular_chain, [[1/2, 1
/2], [-1/2, -1/2], [0, 0], [0, 0], [-1, -1]]]], [[7, 2, 3, 3, 3], [And(0 < v,v
< 1), u = -v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), And(-1 < z,z < 1)], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [0, 0], [0, 0], [0, 0]]]], [[7, 2, 3
, 3, 4], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 1), And(-1-x < y,y < x+1),
z = 1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [0, 0], [0, 0], [1, 1]]]],
[[7, 2, 3, 3, 5], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 1), And(-1-x < y,y
< x+1), 1 < z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [0, 0], [0, 0], [2,
2]]]], [[9, 1, 1, 3, 1], [And(1 < v,v < 2^(1/2)), u < -v, x < -u^2+v^2-1, And(
u^2-v^2+x+1 < y,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], [0, 0], [-4, -4]]]],
[[9, 1, 1, 3, 2], [And(1 < v,v < 2^(1/2)), u < -v, x < -u^2+v^2-1, And(u^2-v^2
+x+1 < y,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], [0, 0], [-1532401/524288, -\
24518415/8388608]]]], [[9, 1, 1, 3, 3], [And(1 < v,v < 2^(1/2)), u < -v, x < -
u^2+v^2-1, And(u^2-v^2+x+1 < y,y < -u^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], [0, 0], [-7/16777216, -7/16777216]]]], [[9, 1, 1, 3, 4], [
And(1 < v,v < 2^(1/2)), u < -v, x < -u^2+v^2-1, And(u^2-v^2+x+1 < y,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], [0, 0], [3064801/1048576, 1532401/524288]]]],
[[9, 1, 1, 3, 5], [And(1 < v,v < 2^(1/2)), u < -v, x < -u^2+v^2-1, And(u^2-v^2
+x+1 < y,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], [0, 0], [4, 4]]]], [[9, 5, 5,
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), u^2-v^2+x+1 < y, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152], [2, 2],
[0, 0]]]], [[10, 3, 4, 2, 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, 3, 4, 2, 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, 3, 4, 2, 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,
3, 4, 2, 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, 3, 4, 2, 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, 8, 1, 4, 1], [v = 2^(1/2), u = 1, x < -1, y
= -x, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-2,
-2], [2, 2], [-1, -1]]]], [[10, 8, 1, 4, 2], [v = 2^(1/2), u = 1, x < -1, y =
-x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-2, -2
], [2, 2], [0, 0]]]], [[10, 8, 1, 4, 3], [v = 2^(1/2), u = 1, x < -1, y = -x,
0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-2, -2], [
2, 2], [1, 1]]]], [[11, 7, 4, 4, 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, 12, 2, 1, 1], [2^(1/2) < v, u = v, x = -1,
y < 0, z < -1], [regular_chain, [[3, 3], [3, 3], [-1, -1], [-1, -1], [-2, -2]]
]], [[11, 12, 2, 1, 2], [2^(1/2) < v, u = v, x = -1, y < 0, z = -1], [
regular_chain, [[3, 3], [3, 3], [-1, -1], [-1, -1], [-1, -1]]]], [[11, 12, 2,
1, 3], [2^(1/2) < v, u = v, x = -1, y < 0, And(-1 < z,z < 1)], [regular_chain,
[[3, 3], [3, 3], [-1, -1], [-1, -1], [0, 0]]]], [[11, 12, 2, 1, 4], [2^(1/2) <
v, u = v, x = -1, y < 0, z = 1], [regular_chain, [[3, 3], [3, 3], [-1, -1], [-\
1, -1], [1, 1]]]], [[11, 12, 2, 1, 5], [2^(1/2) < v, u = v, x = -1, y < 0, 1 <
z], [regular_chain, [[3, 3], [3, 3], [-1, -1], [-1, -1], [2, 2]]]], [[1, 4, 3,
4, 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, 4, 3, 4, 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, 4, 3, 4
, 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, 9, 3, 1, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,
u < (v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2+x+1, z = z], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-128885/524288, -\
128885/524288], [-2, -2], [0, 0]]]], [[2, 6, 3, 4, 1], [v = -2^(1/2), u = 0, 
And(-1 < x,x < 1), y = -x+1, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [0, 0], [1, 1], [0, 0]]]], [[2, 11, 3, 3, 1], [v = -2^
(1/2), -v < u, And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < u^2+x-1), z < -(u^
2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9/
2, -9/2], [0, 0], [-4, -4]]]], [[2, 11, 3, 3, 2], [v = -2^(1/2), -v < u, And(-
u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < u^2+x-1), z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9/2, -9/2], [0,
0], [-2965821/1048576, -11863283/4194304]]]], [[2, 11, 3, 3, 3], [v = -2^(1/2)
, -v < u, And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,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], [0, 0], [-3/8388608, -3/8388608]]]], [[2, 11, 3
, 3, 4], [v = -2^(1/2), -v < u, And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < u
^2+x-1), z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [-9/2, -9/2], [0, 0], [741455/262144, 2965821/1048576]]]], [[
2, 11, 3, 3, 5], [v = -2^(1/2), -v < u, And(-u^2+1 < x,x < -1), And(-u^2-x+1 <
y,y < u^2+x-1), (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [-9/2, -9/2], [0, 0], [4, 4]]]], [[4, 5, 2, 1, 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], [-2, -2], [-2, -2]]]], [[4, 5, 2, 1, 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], [-2, -2], [-1/2, -1/2]]]], [[4, 5, 2, 1, 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], [-2, -2], [0, 0]]]], [[4, 5, 2, 1, 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],
[-2, -2], [1/2, 1/2]]]], [[4, 5, 2, 1, 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], [-2, -2],
[2, 2]]]], [[5, 3, 1, 3, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x < -1, 
And(u^2-v^2+x+1 < y,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], [0, 0], [-2, -2]]]], [[5, 3, 1, 3, 2], [And
(-1 < v,v < 0), And(v < u,u < -v), x < -1, And(u^2-v^2+x+1 < y,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],
[0, 0], [-1816187/2097152, -3632373/4194304]]]], [[5, 3, 1, 3, 3], [And(-1 < v
,v < 0), And(v < u,u < -v), x < -1, And(u^2-v^2+x+1 < y,y < -u^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], [0, 0], [-1/8388608, -1/8388608]]]], [[5, 3, 1, 3, 4], [
And(-1 < v,v < 0), And(v < u,u < -v), x < -1, And(u^2-v^2+x+1 < y,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]
, [0, 0], [908093/1048576, 454047/524288]]]], [[5, 3, 1, 3, 5], [And(-1 < v,v
< 0), And(v < u,u < -v), x < -1, And(u^2-v^2+x+1 < y,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], [0, 0], [2,
2]]]], [[7, 5, 6, 3, 1], [And(0 < v,v < 1), v < u, x = 1, And(-u^2+v^2-2 < y,y
< u^2-v^2+2), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [1
, 1], [0, 0], [-4, -4]]]], [[7, 5, 6, 3, 2], [And(0 < v,v < 1), v < u, x = 1,
And(-u^2+v^2-2 < y,y < u^2-v^2+2), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1/2, 1/2], [2, 2], [1, 1], [0, 0], [-2285319/1048576, -1142659/524288]]]], [[7
, 5, 6, 3, 3], [And(0 < v,v < 1), v < u, x = 1, And(-u^2+v^2-2 < y,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], [2, 2], [1, 1], [0, 0], [0, 0]]]], [[7, 5, 6, 3, 4], [And(0 < v,v < 1)
, v < u, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [2, 2], [1, 1], [0, 0], [1142659/524288, 2285319/
1048576]]]], [[7, 5, 6, 3, 5], [And(0 < v,v < 1), v < u, x = 1, And(-u^2+v^2-2
< y,y < u^2-v^2+2), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [2, 2
], [1, 1], [0, 0], [4, 4]]]], [[8, 5, 3, 3, 1], [v = 1, And(0 < u,u < 1), And(
-1 < x,x < -u^2), And(u^2+x < y,y < -u^2-x), z < -u], [regular_chain, [[1, 1],
[1/2, 1/2], [-5/8, -5/8], [0, 0], [-2, -2]]]], [[8, 5, 3, 3, 2], [v = 1, And(0
< u,u < 1), And(-1 < x,x < -u^2), And(u^2+x < y,y < -u^2-x), z = -u], [
regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [0, 0], [-1/2, -1/2]]]], [[8
, 5, 3, 3, 3], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(u^2+x < y,y
< -u^2-x), And(-u < z,z < u)], [regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/
8], [0, 0], [0, 0]]]], [[8, 5, 3, 3, 4], [v = 1, And(0 < u,u < 1), And(-1 < x,
x < -u^2), And(u^2+x < y,y < -u^2-x), z = u], [regular_chain, [[1, 1], [1/2, 1
/2], [-5/8, -5/8], [0, 0], [1/2, 1/2]]]], [[8, 5, 3, 3, 5], [v = 1, And(0 < u,
u < 1), And(-1 < x,x < -u^2), And(u^2+x < y,y < -u^2-x), u < z], [
regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [0, 0], [2, 2]]]], [[10, 10,
4, 4, 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, 10, 4, 4, 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, 10, 4, 4, 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, 
10, 4, 4, 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, 10, 4, 4, 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, 4, 3, 4, 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, 4, 3, 4, 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, 4, 3, 4, 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]]]], [[1, 11, 5,
5, 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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [532005/2097152, 532005/2097152], [2, 2], [
-2, -2]]]], [[1, 11, 5, 5, 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 = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [532005/2097152,
532005/2097152], [2, 2], [-735979/1048576, -1471957/2097152]]]], [[1, 11, 5, 5
, 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(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [532005/2097152,
532005/2097152], [2, 2], [-1/4194304, -1/4194304]]]], [[1, 11, 5, 5, 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 = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [532005/2097152, 532005/2097152], [2, 2], [367989/524288, 
735979/1048576]]]], [[1, 11, 5, 5, 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, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [532005/2097152,
532005/2097152], [2, 2], [2, 2]]]], [[2, 3, 5, 2, 1], [v = -2^(1/2), And(v < u
,u < -1), And(-u^2+1 < x,x < 1), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [284633/1048576, 284633/1048576], [-95493/131072, -1527887/
2097152], [-2, -2]]]], [[2, 3, 5, 2, 2], [v = -2^(1/2), And(v < u,u < -1), And
(-u^2+1 < x,x < 1), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [
284633/1048576, 284633/1048576], [-95493/131072, -1527887/2097152], [-1417877/
2097152, -354469/524288]]]], [[2, 3, 5, 2, 3], [v = -2^(1/2), And(v < 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, [[-1482911/1048576, -741455/524288], [-1265743/1048576,
-1265743/1048576], [284633/1048576, 284633/1048576], [-95493/131072, -1527887/
2097152], [0, 0]]]], [[2, 3, 5, 2, 4], [v = -2^(1/2), And(v < u,u < -1), And(-
u^2+1 < x,x < 1), y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [284633/
1048576, 284633/1048576], [-95493/131072, -1527887/2097152], [354469/524288, 
708939/1048576]]]], [[2, 3, 5, 2, 5], [v = -2^(1/2), And(v < u,u < -1), And(-u
^2+1 < x,x < 1), y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [284633/
1048576, 284633/1048576], [-95493/131072, -1527887/2097152], [2, 2]]]], [[3, 2
, 5, 5, 1], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, x+1 < y, z < -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [4, 4], [-2, -2]]]], [[3, 2, 5, 5, 2], [And(-2^(1/2)
< v,v < -1), u = v, 1 < x, x+1 < y, z = -1], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [4,
4], [-1, -1]]]], [[3, 2, 5, 5, 3], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, x+
1 < y, And(-1 < z,z < 1)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [4, 4], [0, 0]]]], [[3
, 2, 5, 5, 4], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, x+1 < y, z = 1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [4, 4], [1, 1]]]], [[3, 2, 5, 5, 5], [And(-2^(1/2) <
v,v < -1), u = v, 1 < x, x+1 < y, 1 < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [4, 4], [2, 2
]]]], [[3, 7, 2, 5, 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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1], [2, 2]
, [-2, -2]]]], [[3, 7, 2, 5, 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 = -(u^2-v^2+1)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1
], [2, 2], [-1374407/2097152, -687203/1048576]]]], [[3, 7, 2, 5, 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(-(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], [2, 2]
, [0, 0]]]], [[3, 7, 2, 5, 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 = (u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1]
, [2, 2], [687203/1048576, 171801/262144]]]], [[3, 7, 2, 5, 5], [And(-2^(1/2)
< v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, -u^2+v^2 < y, (u^2-v^2+1)^
(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-1, -1], [2, 2], [2, 2]]]], [[5, 5, 6, 2, 1], [And(
-1 < v,v < 0), -v < u, x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [2, 2], [1, 1], [-23/4, -23/4], [-4, -4]]]], [[5
, 5, 6, 2, 2], [And(-1 < v,v < 0), -v < u, x = 1, y = -u^2+v^2-2, z = -(u^2-v^
2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [1, 1], [-23/4, -23/4], [-\
2285319/1048576, -1142659/524288]]]], [[5, 5, 6, 2, 3], [And(-1 < v,v < 0), -v
< 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], [2, 2], [1, 1], [-23/4, -23/4], [0, 0]]]], [[
5, 5, 6, 2, 4], [And(-1 < v,v < 0), -v < u, x = 1, y = -u^2+v^2-2, z = (u^2-v^
2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [1, 1], [-23/4, -23/4], [
1142659/524288, 2285319/1048576]]]], [[5, 5, 6, 2, 5], [And(-1 < v,v < 0), -v
< u, x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1
/2], [2, 2], [1, 1], [-23/4, -23/4], [4, 4]]]], [[7, 2, 3, 4, 1], [And(0 < v,v
< 1), u = -v, And(-1 < x,x < 1), y = x+1, z < -1], [regular_chain, [[1/2, 1/2]
, [-1/2, -1/2], [0, 0], [1, 1], [-2, -2]]]], [[7, 2, 3, 4, 2], [And(0 < v,v <
1), u = -v, And(-1 < x,x < 1), y = x+1, z = -1], [regular_chain, [[1/2, 1/2],
[-1/2, -1/2], [0, 0], [1, 1], [-1, -1]]]], [[7, 2, 3, 4, 3], [And(0 < v,v < 1)
, u = -v, And(-1 < x,x < 1), y = x+1, And(-1 < z,z < 1)], [regular_chain, [[1/
2, 1/2], [-1/2, -1/2], [0, 0], [1, 1], [0, 0]]]], [[7, 2, 3, 4, 4], [And(0 < v
,v < 1), u = -v, And(-1 < x,x < 1), y = x+1, z = 1], [regular_chain, [[1/2, 1/
2], [-1/2, -1/2], [0, 0], [1, 1], [1, 1]]]], [[7, 2, 3, 4, 5], [And(0 < v,v <
1), u = -v, And(-1 < x,x < 1), y = x+1, 1 < z], [regular_chain, [[1/2, 1/2], [
-1/2, -1/2], [0, 0], [1, 1], [2, 2]]]], [[9, 1, 1, 2, 1], [And(1 < v,v < 2^(1/
2)), 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], [-3, -3], [-10, -10], [-\
1527887/1048576, -763943/524288], [-4, -4]]]], [[9, 1, 1, 2, 2], [And(1 < v,v
< 2^(1/2)), 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], [-3, -3], [-10, -10], [-\
1527887/1048576, -763943/524288], [-1532401/524288, -24518415/8388608]]]], [[9
, 1, 1, 2, 3], [And(1 < v,v < 2^(1/2)), 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], [-3, -3], [-10, -10], [-1527887/1048576, -\
763943/524288], [-7/16777216, -7/16777216]]]], [[9, 1, 1, 2, 4], [And(1 < v,v
< 2^(1/2)), 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], [-3, -3], [-10, -10], [-\
1527887/1048576, -763943/524288], [3064801/1048576, 1532401/524288]]]], [[9, 1
, 1, 2, 5], [And(1 < v,v < 2^(1/2)), 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], [
-3, -3], [-10, -10], [-1527887/1048576, -763943/524288], [4, 4]]]], [[9, 5, 5,
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]]]], [[10, 3, 4, 3, 1], [v = 2^(1/2), And(-v <
u,u < -1), x = -u^2+1, 0 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-479311/
1048576, -239655/524288], [1, 1], [-2, -2]]]], [[10, 3, 4, 3, 2], [v = 2^(1/2)
, And(-v < u,u < -1), x = -u^2+1, 0 < y, z = -(u^2-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
479311/1048576, -239655/524288], [1, 1], [-1417877/2097152, -354469/524288]]]]
, [[10, 3, 4, 3, 3], [v = 2^(1/2), And(-v < u,u < -1), x = -u^2+1, 0 < y, 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], [1, 1], [0, 0]]]], [[10, 3, 4, 3, 4], [v = 2^(1/2), And(-v < u
,u < -1), x = -u^2+1, 0 < y, z = (u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-479311/
1048576, -239655/524288], [1, 1], [354469/524288, 708939/1048576]]]], [[10, 3,
4, 3, 5], [v = 2^(1/2), And(-v < u,u < -1), x = -u^2+1, 0 < y, (u^2-1)^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [-479311/1048576, -239655/524288], [1, 1], [2, 2]]]], [[10,
8, 1, 5, 1], [v = 2^(1/2), u = 1, x < -1, -x < y, z < 0], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [-2, -2], [3, 3], [-1, -1]]]], [[10,
8, 1, 5, 2], [v = 2^(1/2), u = 1, x < -1, -x < y, z = 0], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [-2, -2], [3, 3], [0, 0]]]], [[10, 8,
1, 5, 3], [v = 2^(1/2), u = 1, x < -1, -x < y, 0 < z], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [-2, -2], [3, 3], [1, 1]]]], [[11, 7,
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+2 < y,y < -u^2+v^2-2), z = z], [regular_chain, [[3, 3], [0, 0], [1, 1]
, [0, 0], [0, 0]]]], [[11, 12, 1, 5, 1], [2^(1/2) < v, u = v, x < -1, -1-x < y
, z < -1], [regular_chain, [[3, 3], [3, 3], [-2, -2], [2, 2], [-2, -2]]]], [[
11, 12, 1, 5, 2], [2^(1/2) < v, u = v, x < -1, -1-x < y, z = -1], [
regular_chain, [[3, 3], [3, 3], [-2, -2], [2, 2], [-1, -1]]]], [[11, 12, 1, 5,
3], [2^(1/2) < v, u = v, x < -1, -1-x < y, And(-1 < z,z < 1)], [regular_chain,
[[3, 3], [3, 3], [-2, -2], [2, 2], [0, 0]]]], [[11, 12, 1, 5, 4], [2^(1/2) < v
, u = v, x < -1, -1-x < y, z = 1], [regular_chain, [[3, 3], [3, 3], [-2, -2],
[2, 2], [1, 1]]]], [[11, 12, 1, 5, 5], [2^(1/2) < v, u = v, x < -1, -1-x < y,
1 < z], [regular_chain, [[3, 3], [3, 3], [-2, -2], [2, 2], [2, 2]]]], [[1, 11,
6, 1, 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], [-3, -3], [-2, -2]]]], [[1, 11, 6, 1, 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], [-3, -3]
, [-735979/1048576, -1471957/2097152]]]], [[1, 11, 6, 1, 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], [-3, -3], [-1/4194304, -1/4194304]]]], [[1, 11, 6, 1
, 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], [-3, -3], [367989/524288, 735979/1048576]]]], [[1, 11, 6, 1,
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], [-3, -3], [2, 2]]]], [[2, 3, 6, 2, 1], [v = -2^(1/2), And(v
< u,u < -1), x = 1, y = -u^2, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1, 1], [-\
1527887/1048576, -763943/524288], [-2, -2]]]], [[2, 3, 6, 2, 2], [v = -2^(1/2)
, And(v < u,u < -1), x = 1, y = -u^2, z = -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1, 1]
, [-1527887/1048576, -763943/524288], [-1417877/2097152, -354469/524288]]]], [
[2, 3, 6, 2, 3], [v = -2^(1/2), And(v < u,u < -1), x = 1, y = -u^2, And(-(u^2-\
1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [1, 1], [-1527887/1048576, -\
763943/524288], [0, 0]]]], [[2, 3, 6, 2, 4], [v = -2^(1/2), And(v < u,u < -1),
x = 1, y = -u^2, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [1, 1], [-1527887/
1048576, -763943/524288], [354469/524288, 708939/1048576]]]], [[2, 3, 6, 2, 5]
, [v = -2^(1/2), And(v < u,u < -1), x = 1, y = -u^2, (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-1527887/1048576, -763943/524288], [2, 2]]]], [[3,
3, 1, 3, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x < -1,
And(u^2-v^2+x+1 < y,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], [0, 0], [-2, -2]]]], [[3, 3, 1, 3, 2], [And(-2^(1/2) < v,v < -1), 
And(v < u,u < -(v^2-1)^(1/2)), x < -1, And(u^2-v^2+x+1 < y,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], [0, 0], [-1374407/2097152, -\
687203/1048576]]]], [[3, 3, 1, 3, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u <
-(v^2-1)^(1/2)), x < -1, And(u^2-v^2+x+1 < y,y < -u^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], [0, 0], [0,
0]]]], [[3, 3, 1, 3, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/
2)), x < -1, And(u^2-v^2+x+1 < y,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], [0, 0], [687203/1048576, 171801/262144]]]], [[3, 3
, 1, 3, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x < -1,
And(u^2-v^2+x+1 < y,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], [0, 0], [2, 2]]]], [[3, 7, 4, 2, 1], [And(-2^(1/2) < v,v < -1), And((
v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-112593/262144, -450371/1048576], [0, 0], [-2, -2]]]], [[3, 7, 4, 2
, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1
, y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [987341/1048576, 987341/1048576], [-112593/262144, -450371/1048576]
, [0, 0], [-1374407/2097152, -687203/1048576]]]], [[3, 7, 4, 2, 3], [And(-2^(1
/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 0, And(-(u
^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-112593/262144,
-450371/1048576], [0, 0], [0, 0]]]], [[3, 7, 4, 2, 4], [And(-2^(1/2) < v,v < -\
1), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [-112593/262144, -450371/1048576], [0, 0], [687203/1048576, 
171801/262144]]]], [[3, 7, 4, 2, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1
/2) < u,u < -v), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-\
112593/262144, -450371/1048576], [0, 0], [2, 2]]]], [[5, 5, 6, 3, 1], [And(-1
< v,v < 0), -v < u, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z < -(u^2-v^2+1)
^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [1, 1], [0, 0], [-4, -4]]]], [
[5, 5, 6, 3, 2], [And(-1 < v,v < 0), -v < u, x = 1, And(-u^2+v^2-2 < y,y < u^2
-v^2+2), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [1, 1
], [0, 0], [-2285319/1048576, -1142659/524288]]]], [[5, 5, 6, 3, 3], [And(-1 <
v,v < 0), -v < u, x = 1, And(-u^2+v^2-2 < y,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], [2, 2], [1, 1
], [0, 0], [0, 0]]]], [[5, 5, 6, 3, 4], [And(-1 < v,v < 0), -v < u, x = 1, And
(-u^2+v^2-2 < y,y < u^2-v^2+2), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2
, -1/2], [2, 2], [1, 1], [0, 0], [1142659/524288, 2285319/1048576]]]], [[5, 5,
6, 3, 5], [And(-1 < v,v < 0), -v < u, x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2)
, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [2, 2], [1, 1], [0, 0
], [4, 4]]]], [[7, 2, 4, 4, 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, 2, 4, 4, 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, 2,
4, 4, 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, 2, 4
, 4, 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, 2, 4, 4, 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]]]], [[9, 1, 1, 5, 1], [And(1 < v,v < 2^(1/2)), u <
-v, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10], [3, 3], [-4, -4]]]]
, [[9, 1, 1, 5, 2], [And(1 < v,v < 2^(1/2)), u < -v, x < -u^2+v^2-1, -u^2+v^2-
x-1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-10, -10], [3, 3], [-1532401/524288, -24518415/8388608]]]
], [[9, 1, 1, 5, 3], [And(1 < v,v < 2^(1/2)), u < -v, x < -u^2+v^2-1, -u^2+v^2
-x-1 < y, 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], [3, 3], [-7/
16777216, -7/16777216]]]], [[9, 1, 1, 5, 4], [And(1 < v,v < 2^(1/2)), u < -v,
x < -u^2+v^2-1, -u^2+v^2-x-1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10], [3, 3], [3064801/
1048576, 1532401/524288]]]], [[9, 1, 1, 5, 5], [And(1 < v,v < 2^(1/2)), u < -v
, x < -u^2+v^2-1, -u^2+v^2-x-1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10], [3, 3], [4, 4]]]], [[
9, 5, 7, 1, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1
/2)), 1 < x, y < -u^2+v^2-x-1, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [2, 2], [-3, -3], [0, 0]]]], [[10, 3, 3, 1, 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], [-2, -2], [-2, -2]]]]
, [[10, 3, 3, 1, 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], [-2, -2], [-1417877/2097152, -354469/524288]]]], [[10, 3, 3, 1, 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], [-2, -2], [0, 0]]]], [[10, 3, 3, 1, 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], [-2, -2], [354469/524288, 708939/1048576]]
]], [[10, 3, 3, 1, 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], [-2, -2], [2, 2]]]], [[10, 8, 1, 2, 1], [v = 2^(1/2), u = 1, x < -1,
y = x, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-2,
-2], [-2, -2], [-1, -1]]]], [[10, 8, 1, 2, 2], [v = 2^(1/2), u = 1, x < -1, y
= x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-2, -\
2], [-2, -2], [0, 0]]]], [[10, 8, 1, 2, 3], [v = 2^(1/2), u = 1, x < -1, y = x
, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-2, -2],
[-2, -2], [1, 1]]]], [[11, 7, 3, 3, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u
< (v^2-2)^(1/2)), And(-1 < x,x < 1), And(u^2-v^2+x+1 < y,y < -u^2+v^2-x-1), z
= z], [regular_chain, [[3, 3], [0, 0], [0, 0], [0, 0], [0, 0]]]], [[11, 12, 1,
4, 1], [2^(1/2) < v, u = v, x < -1, y = -1-x, z < -1], [regular_chain, [[3, 3]
, [3, 3], [-2, -2], [1, 1], [-2, -2]]]], [[11, 12, 1, 4, 2], [2^(1/2) < v, u =
v, x < -1, y = -1-x, z = -1], [regular_chain, [[3, 3], [3, 3], [-2, -2], [1, 1
], [-1, -1]]]], [[11, 12, 1, 4, 3], [2^(1/2) < v, u = v, x < -1, y = -1-x, And
(-1 < z,z < 1)], [regular_chain, [[3, 3], [3, 3], [-2, -2], [1, 1], [0, 0]]]],
[[11, 12, 1, 4, 4], [2^(1/2) < v, u = v, x < -1, y = -1-x, z = 1], [
regular_chain, [[3, 3], [3, 3], [-2, -2], [1, 1], [1, 1]]]], [[11, 12, 1, 4, 5
], [2^(1/2) < v, u = v, x < -1, y = -1-x, 1 < z], [regular_chain, [[3, 3], [3,
3], [-2, -2], [1, 1], [2, 2]]]], [[1, 4, 2, 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, 4, 2, 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, 4,
2, 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, 2, 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 < -u^2+v^2), z = z], [regular_chain,
[[-3, -3], [1435023/524288, 1435023/524288], [-1, -1], [0, 0], [0, 0]]]], [[2,
6, 2, 4, 1], [v = -2^(1/2), u = 0, x = -1, y = 2, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-1, -1], [2, 2], [0, 0]]]], [[2, 11
, 3, 2, 1], [v = -2^(1/2), -v < 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, 11, 3, 2, 2], [v = -2^(1/2), -v <
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, 11, 3, 2, 3], [v = -2^(1/2), -v <
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, 11, 3, 2, 4], [v = -2^(1/2
), -v < 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, 11, 3, 2, 5], [v = -2^(1/2
), -v < 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]]]], [[4, 4, 7, 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, 4, 7, 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, 4, 7, 4, 3], [v = -1, u = 0, 1 < x, y = x, 0 < z
], [regular_chain, [[-1, -1], [0, 0], [2, 2], [2, 2], [1, 1]]]], [[5, 2, 5, 5,
1], [And(-1 < v,v < 0), u = v, 1 < x, x+1 < y, z < -1], [regular_chain, [[-1/2
, -1/2], [-1/2, -1/2], [2, 2], [4, 4], [-2, -2]]]], [[5, 2, 5, 5, 2], [And(-1
< v,v < 0), u = v, 1 < x, x+1 < y, z = -1], [regular_chain, [[-1/2, -1/2], [-1
/2, -1/2], [2, 2], [4, 4], [-1, -1]]]], [[5, 2, 5, 5, 3], [And(-1 < v,v < 0),
u = v, 1 < x, x+1 < y, And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/2], [-1/
2, -1/2], [2, 2], [4, 4], [0, 0]]]], [[5, 2, 5, 5, 4], [And(-1 < v,v < 0), u =
v, 1 < x, x+1 < y, z = 1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2]
, [4, 4], [1, 1]]]], [[5, 2, 5, 5, 5], [And(-1 < v,v < 0), u = v, 1 < x, x+1 <
y, 1 < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [4, 4], [2, 2]
]]], [[7, 5, 5, 3, 1], [And(0 < v,v < 1), v < u, And(-1 < x,x < 1), And(-u^2+v
^2-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1
/2], [2, 2], [0, 0], [0, 0], [-4, -4]]]], [[7, 5, 5, 3, 2], [And(0 < v,v < 1),
v < u, And(-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2
+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [0, 0], [0, 0], [-2285319/
1048576, -1142659/524288]]]], [[7, 5, 5, 3, 3], [And(0 < v,v < 1), v < u, And(
-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^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], [2, 2], [0, 0], [0, 0]
, [0, 0]]]], [[7, 5, 5, 3, 4], [And(0 < v,v < 1), v < u, And(-1 < x,x < 1), 
And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2-v^2+1)^(1/2)], [regular_chain,
[[1/2, 1/2], [2, 2], [0, 0], [0, 0], [1142659/524288, 2285319/1048576]]]], [[7
, 5, 5, 3, 5], [And(0 < v,v < 1), v < u, And(-1 < x,x < 1), And(-u^2+v^2-x-1 <
y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [2, 2
], [0, 0], [0, 0], [4, 4]]]], [[8, 5, 3, 2, 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, 5, 3, 2, 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, 5, 3, 2, 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
, 5, 3, 2, 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, 5, 3, 2, 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]]]], [[10, 10, 4, 5, 1], [v = 2^(1/2), u = v, x = 1, 2 < y, z < -1], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [1, 1], [3, 3], [-2, -2]]]], [[10, 10, 4, 5, 2], [v = 2^(1/2), u = v
, x = 1, 2 < y, z = -1], [regular_chain, [[741455/524288, 1482911/1048576], [
741455/524288, 1482911/1048576], [1, 1], [3, 3], [-1, -1]]]], [[10, 10, 4, 5,
3], [v = 2^(1/2), u = v, x = 1, 2 < y, And(-1 < z,z < 1)], [regular_chain, [[
741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [1, 1], [3,
3], [0, 0]]]], [[10, 10, 4, 5, 4], [v = 2^(1/2), u = v, x = 1, 2 < y, z = 1],
[regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [1, 1], [3, 3], [1, 1]]]], [[10, 10, 4, 5, 5], [v = 2^(1/2), u = v,
x = 1, 2 < y, 1 < z], [regular_chain, [[741455/524288, 1482911/1048576], [
741455/524288, 1482911/1048576], [1, 1], [3, 3], [2, 2]]]], [[11, 4, 5, 1, 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], [-2
, -2], [-1, -1]]]], [[11, 4, 5, 1, 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], [-2, -2], [0, 0]]]], [[11, 4, 5, 1, 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], [-2, -2], [1, 1]]]]
, [[1, 11, 6, 2, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 1, y =
-u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [1, 1], [-391287/262144, -1565147/1048576], [-2, -2
]]]], [[1, 11, 6, 2, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 1,
y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [1, 1], [-391287/262144, -1565147/1048576], [-\
735979/1048576, -1471957/2097152]]]], [[1, 11, 6, 2, 3], [v < -2^(1/2), And((v
^2-1)^(1/2) < u,u < -v), x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z <
(u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [1, 1], [-391287/262144, -1565147/1048576], [-1/4194304, -1/4194304]
]]], [[1, 11, 6, 2, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 1, y
= -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [1, 1], [-391287/262144, -1565147/1048576], [367989
/524288, 735979/1048576]]]], [[1, 11, 6, 2, 5], [v < -2^(1/2), And((v^2-1)^(1/
2) < u,u < -v), x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain,
[[-3, -3], [6111549/2097152, 6111549/2097152], [1, 1], [-391287/262144, -\
1565147/1048576], [2, 2]]]], [[2, 3, 6, 3, 1], [v = -2^(1/2), And(v < u,u < -1
), x = 1, And(-u^2 < y,y < u^2), z < -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1, 1]
, [0, 0], [-2, -2]]]], [[2, 3, 6, 3, 2], [v = -2^(1/2), And(v < u,u < -1), x =
1, And(-u^2 < y,y < u^2), z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1, 1], [0, 0]
, [-1417877/2097152, -354469/524288]]]], [[2, 3, 6, 3, 3], [v = -2^(1/2), And(
v < u,u < -1), x = 1, And(-u^2 < y,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], [0, 0], [0, 0]]]], [[2, 3, 6, 3, 4], [v =
-2^(1/2), And(v < u,u < -1), x = 1, And(-u^2 < y,y < u^2), z = (u^2-1)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [1, 1], [0, 0], [354469/524288, 708939/1048576]]]], [[2, 3,
6, 3, 5], [v = -2^(1/2), And(v < u,u < -1), x = 1, And(-u^2 < y,y < u^2), (u^2
-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743
/1048576, -1265743/1048576], [1, 1], [0, 0], [2, 2]]]], [[3, 3, 1, 2, 1], [And
(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x < -1, y = u^2-v^2+x+1,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-3949363/4194304, -3949363/4194304], [-2, -2], [-3293563/2097152, -1646781/
1048576], [-2, -2]]]], [[3, 3, 1, 2, 2], [And(-2^(1/2) < v,v < -1), And(v < u,
u < -(v^2-1)^(1/2)), x < -1, y = u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2, -2], [-3293563/2097152, -1646781/1048576], [-1374407/
2097152, -687203/1048576]]]], [[3, 3, 1, 2, 3], [And(-2^(1/2) < v,v < -1), And
(v < u,u < -(v^2-1)^(1/2)), x < -1, y = u^2-v^2+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], [-3293563/2097152, -\
1646781/1048576], [0, 0]]]], [[3, 3, 1, 2, 4], [And(-2^(1/2) < v,v < -1), And(
v < u,u < -(v^2-1)^(1/2)), x < -1, y = u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2, -2], [-3293563/2097152, -1646781/1048576], [687203/
1048576, 171801/262144]]]], [[3, 3, 1, 2, 5], [And(-2^(1/2) < v,v < -1), And(v
< u,u < -(v^2-1)^(1/2)), x < -1, y = u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2, -2], [-3293563/2097152, -1646781/1048576], [2, 2]]]], [
[3, 7, 4, 1, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x =
-u^2+v^2-1, y < 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [987341/1048576, 987341/1048576], [-112593/262144, -\
450371/1048576], [-1, -1], [-2, -2]]]], [[3, 7, 4, 1, 2], [And(-2^(1/2) < v,v
< -1), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y < 0, z = -(u^2-v^2+1)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576
, 987341/1048576], [-112593/262144, -450371/1048576], [-1, -1], [-1374407/
2097152, -687203/1048576]]]], [[3, 7, 4, 1, 3], [And(-2^(1/2) < v,v < -1), And
((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y < 0, And(-(u^2-v^2+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], [-1, -1
], [0, 0]]]], [[3, 7, 4, 1, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) <
u,u < -v), x = -u^2+v^2-1, y < 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-112593
/262144, -450371/1048576], [-1, -1], [687203/1048576, 171801/262144]]]], [[3,
7, 4, 1, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -u^
2+v^2-1, y < 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-112593/262144, -450371/
1048576], [-1, -1], [2, 2]]]], [[5, 5, 6, 4, 1], [And(-1 < v,v < 0), -v < u, x
= 1, y = u^2-v^2+2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [2
, 2], [1, 1], [23/4, 23/4], [-4, -4]]]], [[5, 5, 6, 4, 2], [And(-1 < v,v < 0),
-v < u, x = 1, y = u^2-v^2+2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2,
-1/2], [2, 2], [1, 1], [23/4, 23/4], [-2285319/1048576, -1142659/524288]]]], [
[5, 5, 6, 4, 3], [And(-1 < v,v < 0), -v < 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], [2, 2]
, [1, 1], [23/4, 23/4], [0, 0]]]], [[5, 5, 6, 4, 4], [And(-1 < v,v < 0), -v <
u, x = 1, y = u^2-v^2+2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [2, 2], [1, 1], [23/4, 23/4], [1142659/524288, 2285319/1048576]]]], [[5, 5,
6, 4, 5], [And(-1 < v,v < 0), -v < u, x = 1, y = u^2-v^2+2, (u^2-v^2+1)^(1/2)
< z], [regular_chain, [[-1/2, -1/2], [2, 2], [1, 1], [23/4, 23/4], [4, 4]]]],
[[7, 2, 4, 5, 1], [And(0 < v,v < 1), u = -v, x = 1, 2 < y, z < -1], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1, 1], [3, 3], [-2, -2]]]], [[7, 2,
4, 5, 2], [And(0 < v,v < 1), u = -v, x = 1, 2 < y, z = -1], [regular_chain, [[
1/2, 1/2], [-1/2, -1/2], [1, 1], [3, 3], [-1, -1]]]], [[7, 2, 4, 5, 3], [And(0
< v,v < 1), u = -v, x = 1, 2 < y, And(-1 < z,z < 1)], [regular_chain, [[1/2, 1
/2], [-1/2, -1/2], [1, 1], [3, 3], [0, 0]]]], [[7, 2, 4, 5, 4], [And(0 < v,v <
1), u = -v, x = 1, 2 < y, z = 1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [
1, 1], [3, 3], [1, 1]]]], [[7, 2, 4, 5, 5], [And(0 < v,v < 1), u = -v, x = 1,
2 < y, 1 < z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1, 1], [3, 3], [2,
2]]]], [[9, 1, 1, 4, 1], [And(1 < v,v < 2^(1/2)), 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], [-3, -3], [-10, -10], [763943/524288, 1527887/1048576], [-4,
-4]]]], [[9, 1, 1, 4, 2], [And(1 < v,v < 2^(1/2)), 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], [-3, -3], [-10, -10], [763943/524288, 1527887/1048576], [-\
1532401/524288, -24518415/8388608]]]], [[9, 1, 1, 4, 3], [And(1 < v,v < 2^(1/2
)), u < -v, x < -u^2+v^2-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (
u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3,
-3], [-10, -10], [763943/524288, 1527887/1048576], [-7/16777216, -7/16777216]]
]], [[9, 1, 1, 4, 4], [And(1 < v,v < 2^(1/2)), u < -v, x < -u^2+v^2-1, y = -u^
2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-10, -10], [763943/524288, 1527887/1048576], [3064801/
1048576, 1532401/524288]]]], [[9, 1, 1, 4, 5], [And(1 < v,v < 2^(1/2)), u < -v
, x < -u^2+v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10], [763943/524288, 
1527887/1048576], [4, 4]]]], [[9, 5, 6, 5, 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 = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [2, 2], [0
, 0]]]], [[10, 3, 3, 2, 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, 3, 3, 2
, 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, 3
, 3, 2, 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,
3, 3, 2, 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, 3, 3
, 2, 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, 8, 1, 3, 1], [v = 2^(1/2), u
= 1, x < -1, And(x < y,y < -x), z < 0], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [-2, -2], [0, 0], [-1, -1]]]], [[10, 8, 1, 3, 2], [v
= 2^(1/2), u = 1, x < -1, And(x < y,y < -x), z = 0], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [-2, -2], [0, 0], [0, 0]]]], [[10, 8, 1, 3,
3], [v = 2^(1/2), u = 1, x < -1, And(x < y,y < -x), 0 < z], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [-2, -2], [0, 0], [1, 1]]]], [[11, 7,
3, 2, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,
x < 1), y = u^2-v^2+x+1, z = z], [regular_chain, [[3, 3], [0, 0], [0, 0], [-8,
-8], [0, 0]]]], [[11, 12, 1, 3, 1], [2^(1/2) < v, u = v, x < -1, And(x+1 < y,y
< -1-x), z < -1], [regular_chain, [[3, 3], [3, 3], [-2, -2], [0, 0], [-2, -2]]
]], [[11, 12, 1, 3, 2], [2^(1/2) < v, u = v, x < -1, And(x+1 < y,y < -1-x), z
= -1], [regular_chain, [[3, 3], [3, 3], [-2, -2], [0, 0], [-1, -1]]]], [[11, 
12, 1, 3, 3], [2^(1/2) < v, u = v, x < -1, And(x+1 < y,y < -1-x), And(-1 < z,z
< 1)], [regular_chain, [[3, 3], [3, 3], [-2, -2], [0, 0], [0, 0]]]], [[11, 12,
1, 3, 4], [2^(1/2) < v, u = v, x < -1, And(x+1 < y,y < -1-x), z = 1], [
regular_chain, [[3, 3], [3, 3], [-2, -2], [0, 0], [1, 1]]]], [[11, 12, 1, 3, 5
], [2^(1/2) < v, u = v, x < -1, And(x+1 < y,y < -1-x), 1 < z], [regular_chain,
[[3, 3], [3, 3], [-2, -2], [0, 0], [2, 2]]]], [[1, 4, 2, 3, 1], [v < -2^(1/2),
u = -(v^2-1)^(1/2), x = -1, And(-1 < y,y < 1), z < 0], [regular_chain, [[-3, -\
3], [-2965821/1048576, -11863283/4194304], [-1, -1], [0, 0], [-1, -1]]]], [[1,
4, 2, 3, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -1, And(-1 < y,y < 1), z =
0], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-1, -1]
, [0, 0], [0, 0]]]], [[1, 4, 2, 3, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), x =
-1, And(-1 < y,y < 1), 0 < z], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [-1, -1], [0, 0], [1, 1]]]], [[1, 9, 2, 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, z = z], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1, -1], [395403/
262144, 1581613/1048576], [0, 0]]]], [[2, 6, 2, 3, 1], [v = -2^(1/2), u = 0, x
= -1, And(-2 < y,y < 2), z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [0, 0], [-1, -1], [0, 0], [0, 0]]]], [[2, 11, 3, 1, 1], [v = -2^(1/2)
, -v < 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], [-5,
-5], [-4, -4]]]], [[2, 11, 3, 1, 2], [v = -2^(1/2), -v < 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], [-5, -5], [-2965821/1048576, -11863283/
4194304]]]], [[2, 11, 3, 1, 3], [v = -2^(1/2), -v < 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], [-5, -5], [-3/8388608,
-3/8388608]]]], [[2, 11, 3, 1, 4], [v = -2^(1/2), -v < 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], [-5, -5], [741455/262144, 2965821/
1048576]]]], [[2, 11, 3, 1, 5], [v = -2^(1/2), -v < 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], [-5, -5], [4, 4]]]], [[4, 4, 7, 5, 1], [v = -1,
u = 0, 1 < x, x < y, z < 0], [regular_chain, [[-1, -1], [0, 0], [2, 2], [3, 3]
, [-1, -1]]]], [[4, 4, 7, 5, 2], [v = -1, u = 0, 1 < x, x < y, z = 0], [
regular_chain, [[-1, -1], [0, 0], [2, 2], [3, 3], [0, 0]]]], [[4, 4, 7, 5, 3],
[v = -1, u = 0, 1 < x, x < y, 0 < z], [regular_chain, [[-1, -1], [0, 0], [2, 2
], [3, 3], [1, 1]]]], [[5, 3, 1, 1, 1], [And(-1 < v,v < 0), And(v < u,u < -v),
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], [-2, -2], [-3, -3], [-2, -2]]]], [[5, 3, 1, 1, 2], [And(-1 < v,v <
0), And(v < u,u < -v), 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], [-2, -2], [-3, -3], [-1816187/2097152, -\
3632373/4194304]]]], [[5, 3, 1, 1, 3], [And(-1 < v,v < 0), And(v < u,u < -v),
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], [-2, -2], [-3, -3], [-1/8388608, -1/
8388608]]]], [[5, 3, 1, 1, 4], [And(-1 < v,v < 0), And(v < u,u < -v), 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]
, [-2, -2], [-3, -3], [908093/1048576, 454047/524288]]]], [[5, 3, 1, 1, 5], [
And(-1 < v,v < 0), And(v < u,u < -v), 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], [-2, -2], [-3, -3], [2, 2]]]],
[[7, 5, 5, 2, 1], [And(0 < v,v < 1), v < u, And(-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], [2, 2], [0, 0], [-19/
4, -19/4], [-4, -4]]]], [[7, 5, 5, 2, 2], [And(0 < v,v < 1), v < u, And(-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
], [2, 2], [0, 0], [-19/4, -19/4], [-2285319/1048576, -1142659/524288]]]], [[7
, 5, 5, 2, 3], [And(0 < v,v < 1), v < u, And(-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
], [2, 2], [0, 0], [-19/4, -19/4], [0, 0]]]], [[7, 5, 5, 2, 4], [And(0 < v,v <
1), v < u, And(-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], [2, 2], [0, 0], [-19/4, -19/4], [1142659/524288, 
2285319/1048576]]]], [[7, 5, 5, 2, 5], [And(0 < v,v < 1), v < u, And(-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], [
2, 2], [0, 0], [-19/4, -19/4], [4, 4]]]], [[8, 5, 3, 1, 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], [-2, -2], [-2, -2]]]], [[8, 5, 3, 1, 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], [-2, -2], [-1/2, -1/2]]]], [[8, 5, 3, 1, 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], [-2, -2], [0, 0]]]], [[8, 5,
3, 1, 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], [-2, -2], [1/2, 1/2]]]], [[8
, 5, 3, 1, 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], [-2, -2], [2, 2]]]], [[
10, 10, 5, 1, 1], [v = 2^(1/2), u = v, 1 < x, y < -1-x, z < -1], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [2, 2], [-4, -4], [-2, -2]]]], [[10, 10, 5, 1, 2], [v = 2^(1/2), u =
v, 1 < x, y < -1-x, z = -1], [regular_chain, [[741455/524288, 1482911/1048576]
, [741455/524288, 1482911/1048576], [2, 2], [-4, -4], [-1, -1]]]], [[10, 10, 5
, 1, 3], [v = 2^(1/2), u = v, 1 < x, y < -1-x, And(-1 < z,z < 1)], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [2, 2], [-4, -4], [0, 0]]]], [[10, 10, 5, 1, 4], [v = 2^(1/2), u = v
, 1 < x, y < -1-x, z = 1], [regular_chain, [[741455/524288, 1482911/1048576],
[741455/524288, 1482911/1048576], [2, 2], [-4, -4], [1, 1]]]], [[10, 10, 5, 1,
5], [v = 2^(1/2), u = v, 1 < x, y < -1-x, 1 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [741455/524288, 1482911/1048576], [2, 2], [-4, -4],
[2, 2]]]], [[11, 4, 5, 2, 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, 4, 5, 2, 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, 4, 5, 2, 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]]]], [[1, 11, 6, 3, 1], [v < -2^(1/2), And((v^2-1
)^(1/2) < u,u < -v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z < -(u^2-v^2+1
)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1, 1
], [0, 0], [-2, -2]]]], [[1, 11, 6, 3, 2], [v < -2^(1/2), And((v^2-1)^(1/2) <
u,u < -v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), z = -(u^2-v^2+1)^(1/2)],
[regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1, 1], [0, 0],
[-735979/1048576, -1471957/2097152]]]], [[1, 11, 6, 3, 3], [v < -2^(1/2), And(
(v^2-1)^(1/2) < u,u < -v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), And(-(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], [0, 0], [-1/4194304, -1/4194304]]]], [[1,
11, 6, 3, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 1, And(-u^2+v^
2-2 < y,y < u^2-v^2+2), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [1, 1], [0, 0], [367989/524288, 735979/
1048576]]]], [[1, 11, 6, 3, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2+2), (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1, 1], [0, 0],
[2, 2]]]], [[2, 3, 5, 5, 1], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,
x < 1), u^2+x-1 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1265743/1048576, -1265743/1048576], [284633/1048576, 284633
/1048576], [2, 2], [-2, -2]]]], [[2, 3, 5, 5, 2], [v = -2^(1/2), And(v < u,u <
-1), And(-u^2+1 < x,x < 1), u^2+x-1 < y, z = -(u^2-1)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [
284633/1048576, 284633/1048576], [2, 2], [-1417877/2097152, -354469/524288]]]]
, [[2, 3, 5, 5, 3], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 1), u
^2+x-1 < y, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [
284633/1048576, 284633/1048576], [2, 2], [0, 0]]]], [[2, 3, 5, 5, 4], [v = -2^
(1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 1), u^2+x-1 < y, z = (u^2-1)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [284633/1048576, 284633/1048576], [2, 2], [354469/524288, 
708939/1048576]]]], [[2, 3, 5, 5, 5], [v = -2^(1/2), And(v < u,u < -1), And(-u
^2+1 < x,x < 1), u^2+x-1 < y, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [284633/
1048576, 284633/1048576], [2, 2], [2, 2]]]], [[3, 3, 1, 5, 1], [And(-2^(1/2) <
v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x < -1, -u^2+v^2-x-1 < y, z < -(u^2-
v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-2, -2], [3, 3], [-2, -2]]]], [[3, 3, 1,
5, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x < -1, -u^2+
v^2-x-1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2, -2], [3, 3], [-\
1374407/2097152, -687203/1048576]]]], [[3, 3, 1, 5, 3], [And(-2^(1/2) < v,v <
-1), And(v < u,u < -(v^2-1)^(1/2)), x < -1, -u^2+v^2-x-1 < y, 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], [3, 3], [0,
0]]]], [[3, 3, 1, 5, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/
2)), x < -1, -u^2+v^2-x-1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2,
-2], [3, 3], [687203/1048576, 171801/262144]]]], [[3, 3, 1, 5, 5], [And(-2^(1/
2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x < -1, -u^2+v^2-x-1 < y, (u^2-
v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-2, -2], [3, 3], [2, 2]]]], [[3, 7, 3, 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), -u^2+v^2-x-1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-374737
/524288, -374737/524288], [2, 2], [-2, -2]]]], [[3, 7, 3, 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), -u^2+v
^2-x-1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/
524288], [2, 2], [-1374407/2097152, -687203/1048576]]]], [[3, 7, 3, 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), -u^2+v^2-x-1 < y, 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], [2, 2], [0, 0]]]], [[3, 7, 3, 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), -u^2+v^2-x-1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-374737
/524288, -374737/524288], [2, 2], [687203/1048576, 171801/262144]]]], [[3, 7,
3, 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), -u^2+v^2-x-1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-\
374737/524288, -374737/524288], [2, 2], [2, 2]]]], [[5, 5, 6, 5, 1], [And(-1 <
v,v < 0), -v < u, x = 1, u^2-v^2+2 < y, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [2, 2], [1, 1], [7, 7], [-4, -4]]]], [[5, 5, 6,
5, 2], [And(-1 < v,v < 0), -v < u, x = 1, u^2-v^2+2 < y, z = -(u^2-v^2+1)^(1/2
)], [regular_chain, [[-1/2, -1/2], [2, 2], [1, 1], [7, 7], [-2285319/1048576,
-1142659/524288]]]], [[5, 5, 6, 5, 3], [And(-1 < v,v < 0), -v < u, x = 1, u^2-
v^2+2 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain,
[[-1/2, -1/2], [2, 2], [1, 1], [7, 7], [0, 0]]]], [[5, 5, 6, 5, 4], [And(-1 <
v,v < 0), -v < u, x = 1, u^2-v^2+2 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain
, [[-1/2, -1/2], [2, 2], [1, 1], [7, 7], [1142659/524288, 2285319/1048576]]]],
[[5, 5, 6, 5, 5], [And(-1 < v,v < 0), -v < u, x = 1, u^2-v^2+2 < y, (u^2-v^2+1
)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [2, 2], [1, 1], [7, 7], [4, 4]]]]
, [[7, 2, 4, 2, 1], [And(0 < v,v < 1), u = -v, x = 1, y = -2, z < -1], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1, 1], [-2, -2], [-2, -2]]]], [[7,
2, 4, 2, 2], [And(0 < v,v < 1), u = -v, x = 1, y = -2, z = -1], [regular_chain
, [[1/2, 1/2], [-1/2, -1/2], [1, 1], [-2, -2], [-1, -1]]]], [[7, 2, 4, 2, 3],
[And(0 < v,v < 1), u = -v, x = 1, y = -2, And(-1 < z,z < 1)], [regular_chain,
[[1/2, 1/2], [-1/2, -1/2], [1, 1], [-2, -2], [0, 0]]]], [[7, 2, 4, 2, 4], [And
(0 < v,v < 1), u = -v, x = 1, y = -2, z = 1], [regular_chain, [[1/2, 1/2], [-1
/2, -1/2], [1, 1], [-2, -2], [1, 1]]]], [[7, 2, 4, 2, 5], [And(0 < v,v < 1), u
= -v, x = 1, y = -2, 1 < z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1, 1]
, [-2, -2], [2, 2]]]], [[9, 1, 2, 2, 1], [And(1 < v,v < 2^(1/2)), u < -v, x =
-u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3, -3], [-4478937/524288, -8957873/1048576], [0, 0], [-4,
-4]]]], [[9, 1, 2, 2, 2], [And(1 < v,v < 2^(1/2)), u < -v, x = -u^2+v^2-1, y =
0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-3, -3], [-4478937/524288, -8957873/1048576], [0, 0], [-1532401/524288, -\
24518415/8388608]]]], [[9, 1, 2, 2, 3], [And(1 < v,v < 2^(1/2)), u < -v, x = -
u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-4478937/524288
, -8957873/1048576], [0, 0], [-7/16777216, -7/16777216]]]], [[9, 1, 2, 2, 4],
[And(1 < v,v < 2^(1/2)), u < -v, x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-4478937/
524288, -8957873/1048576], [0, 0], [3064801/1048576, 1532401/524288]]]], [[9,
1, 2, 2, 5], [And(1 < v,v < 2^(1/2)), u < -v, 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, 6, 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]]]], [[10, 3, 3, 3, 1], [v = 2^(
1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), And(u^2+x-1 < y,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], [0,
0], [-2, -2]]]], [[10, 3, 3, 3, 2], [v = 2^(1/2), And(-v < u,u < -1), And(-1 <
x,x < -u^2+1), And(u^2+x-1 < y,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], [0, 0], [-1417877/2097152, -\
354469/524288]]]], [[10, 3, 3, 3, 3], [v = 2^(1/2), And(-v < u,u < -1), And(-1
< x,x < -u^2+1), And(u^2+x-1 < y,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], [0, 0], [0,
0]]]], [[10, 3, 3, 3, 4], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^
2+1), And(u^2+x-1 < y,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], [0, 0], [354469/524288, 708939/1048576]]]]
, [[10, 3, 3, 3, 5], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1),
And(u^2+x-1 < y,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], [0, 0], [2, 2]]]], [[10, 7, 7, 5, 1], [v = 2^(1/2)
, And(0 < u,u < 1), 1 < x, u^2+x-1 < y, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [1/2, 1/2], [2, 2], [3, 3], [0, 0]]]], [[11, 7, 3, 5
, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x <
1), -u^2+v^2-x-1 < y, z = z], [regular_chain, [[3, 3], [0, 0], [0, 0], [9, 9],
[0, 0]]]], [[11, 12, 1, 2, 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, 12, 1,
2, 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, 12, 1, 2, 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, 12, 1, 2, 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, 12, 1, 2, 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]]]], [[1, 4, 2, 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, 4, 2, 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, 4, 2, 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, 9, 2, 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]]]], [[2, 6
, 3, 1, 1], [v = -2^(1/2), u = 0, And(-1 < x,x < 1), y < x-1, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [0, 0], [-2, -2],
[0, 0]]]], [[2, 11, 2, 3, 1], [v = -2^(1/2), -v < u, x = -u^2+1, 0 < y, z < -(
u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-\
8, -8], [1, 1], [-4, -4]]]], [[2, 11, 2, 3, 2], [v = -2^(1/2), -v < u, x = -u^
2+1, 0 < y, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [-8, -8], [1, 1], [-2965821/1048576, -11863283/4194304]]]], [
[2, 11, 2, 3, 3], [v = -2^(1/2), -v < u, x = -u^2+1, 0 < y, And(-(u^2-1)^(1/2)
< z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288],
[3, 3], [-8, -8], [1, 1], [-3/8388608, -3/8388608]]]], [[2, 11, 2, 3, 4], [v =
-2^(1/2), -v < u, x = -u^2+1, 0 < y, z = (u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [-8, -8], [1, 1], [741455/262144, 
2965821/1048576]]]], [[2, 11, 2, 3, 5], [v = -2^(1/2), -v < u, x = -u^2+1, 0 <
y, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3
, 3], [-8, -8], [1, 1], [4, 4]]]], [[4, 5, 1, 1, 1], [v = -1, And(0 < u,u < 1)
, x < -1, y < u^2+x, z < -u], [regular_chain, [[-1, -1], [1/2, 1/2], [-2, -2],
[-3, -3], [-2, -2]]]], [[4, 5, 1, 1, 2], [v = -1, And(0 < u,u < 1), x < -1, y
< u^2+x, z = -u], [regular_chain, [[-1, -1], [1/2, 1/2], [-2, -2], [-3, -3], [
-1/2, -1/2]]]], [[4, 5, 1, 1, 3], [v = -1, And(0 < u,u < 1), x < -1, y < u^2+x
, And(-u < z,z < u)], [regular_chain, [[-1, -1], [1/2, 1/2], [-2, -2], [-3, -3
], [0, 0]]]], [[4, 5, 1, 1, 4], [v = -1, And(0 < u,u < 1), x < -1, y < u^2+x,
z = u], [regular_chain, [[-1, -1], [1/2, 1/2], [-2, -2], [-3, -3], [1/2, 1/2]]
]], [[4, 5, 1, 1, 5], [v = -1, And(0 < u,u < 1), x < -1, y < u^2+x, u < z], [
regular_chain, [[-1, -1], [1/2, 1/2], [-2, -2], [-3, -3], [2, 2]]]], [[5, 2, 5
, 3, 1], [And(-1 < v,v < 0), u = v, 1 < x, And(-1-x < y,y < x+1), z < -1], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [0, 0], [-2, -2]]]], [[5,
2, 5, 3, 2], [And(-1 < v,v < 0), u = v, 1 < x, And(-1-x < y,y < x+1), z = -1],
[regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [0, 0], [-1, -1]]]], [[5,
2, 5, 3, 3], [And(-1 < v,v < 0), u = v, 1 < x, And(-1-x < y,y < x+1), And(-1 <
z,z < 1)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [0, 0], [0, 0]
]]], [[5, 2, 5, 3, 4], [And(-1 < v,v < 0), u = v, 1 < x, And(-1-x < y,y < x+1)
, z = 1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [0, 0], [1, 1]]
]], [[5, 2, 5, 3, 5], [And(-1 < v,v < 0), u = v, 1 < x, And(-1-x < y,y < x+1),
1 < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [0, 0], [2, 2]]]]
, [[7, 5, 5, 5, 1], [And(0 < v,v < 1), v < u, And(-1 < x,x < 1), u^2-v^2+x+1 <
y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [0, 0], [6, 6
], [-4, -4]]]], [[7, 5, 5, 5, 2], [And(0 < v,v < 1), v < u, And(-1 < x,x < 1),
u^2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2],
[0, 0], [6, 6], [-2285319/1048576, -1142659/524288]]]], [[7, 5, 5, 5, 3], [And
(0 < v,v < 1), v < u, And(-1 < x,x < 1), u^2-v^2+x+1 < y, And(-(u^2-v^2+1)^(1/
2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [2, 2], [0, 0], [
6, 6], [0, 0]]]], [[7, 5, 5, 5, 4], [And(0 < v,v < 1), v < u, And(-1 < x,x < 1
), u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2
], [0, 0], [6, 6], [1142659/524288, 2285319/1048576]]]], [[7, 5, 5, 5, 5], [
And(0 < v,v < 1), v < u, And(-1 < x,x < 1), u^2-v^2+x+1 < y, (u^2-v^2+1)^(1/2)
< z], [regular_chain, [[1/2, 1/2], [2, 2], [0, 0], [6, 6], [4, 4]]]], [[8, 5,
2, 5, 1], [v = 1, And(0 < u,u < 1), x = -1, -u^2+1 < y, z < -u], [
regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [2, 2], [-2, -2]]]], [[8, 5, 2,
5, 2], [v = 1, And(0 < u,u < 1), x = -1, -u^2+1 < y, z = -u], [regular_chain,
[[1, 1], [1/2, 1/2], [-1, -1], [2, 2], [-1/2, -1/2]]]], [[8, 5, 2, 5, 3], [v =
1, And(0 < u,u < 1), x = -1, -u^2+1 < y, And(-u < z,z < u)], [regular_chain, [
[1, 1], [1/2, 1/2], [-1, -1], [2, 2], [0, 0]]]], [[8, 5, 2, 5, 4], [v = 1, And
(0 < u,u < 1), x = -1, -u^2+1 < y, z = u], [regular_chain, [[1, 1], [1/2, 1/2]
, [-1, -1], [2, 2], [1/2, 1/2]]]], [[8, 5, 2, 5, 5], [v = 1, And(0 < u,u < 1),
x = -1, -u^2+1 < y, u < z], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [2,
2], [2, 2]]]], [[10, 10, 5, 2, 1], [v = 2^(1/2), u = v, 1 < x, y = -1-x, z < -\
1], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911
/1048576], [2, 2], [-3, -3], [-2, -2]]]], [[10, 10, 5, 2, 2], [v = 2^(1/2), u
= v, 1 < x, y = -1-x, z = -1], [regular_chain, [[741455/524288, 1482911/
1048576], [741455/524288, 1482911/1048576], [2, 2], [-3, -3], [-1, -1]]]], [[
10, 10, 5, 2, 3], [v = 2^(1/2), u = v, 1 < x, y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [2, 2], [-3, -3], [0, 0]]]], [[10, 10, 5, 2, 4], [v = 2^(1/2), u = v
, 1 < x, y = -1-x, z = 1], [regular_chain, [[741455/524288, 1482911/1048576],
[741455/524288, 1482911/1048576], [2, 2], [-3, -3], [1, 1]]]], [[10, 10, 5, 2,
5], [v = 2^(1/2), u = v, 1 < x, y = -1-x, 1 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [741455/524288, 1482911/1048576], [2, 2], [-3, -3],
[2, 2]]]], [[11, 4, 4, 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, 4, 4, 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, 4, 4, 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]]]], [[1, 11, 6, 4, 1], [v < -2^(1/2
), And((v^2-1)^(1/2) < u,u < -v), x = 1, y = u^2-v^2+2, z < -(u^2-v^2+1)^(1/2)
], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1, 1], [
1565147/1048576, 391287/262144], [-2, -2]]]], [[1, 11, 6, 4, 2], [v < -2^(1/2)
, And((v^2-1)^(1/2) < u,u < -v), x = 1, y = u^2-v^2+2, z = -(u^2-v^2+1)^(1/2)]
, [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1, 1], [
1565147/1048576, 391287/262144], [-735979/1048576, -1471957/2097152]]]], [[1,
11, 6, 4, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 1, y = u^2-v^2
+2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3,
-3], [6111549/2097152, 6111549/2097152], [1, 1], [1565147/1048576, 391287/
262144], [-1/4194304, -1/4194304]]]], [[1, 11, 6, 4, 4], [v < -2^(1/2), And((v
^2-1)^(1/2) < u,u < -v), x = 1, y = u^2-v^2+2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1, 1], [1565147
/1048576, 391287/262144], [367989/524288, 735979/1048576]]]], [[1, 11, 6, 4, 5
], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 1, y = u^2-v^2+2, (u^2-v^
2+1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152]
, [1, 1], [1565147/1048576, 391287/262144], [2, 2]]]], [[2, 3, 6, 1, 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], [-3, -3], [-2, -2]]]], [[2, 3, 6, 1, 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], [-3, -3], [-1417877/2097152, -354469/524288]]]], [[2, 3, 6, 1, 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], [-3, -3], [0, 0]]]], [[2, 3, 6, 1, 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], [-3, -3], [354469/524288, 708939/1048576]]]], [[2, 3
, 6, 1, 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], [-3, -3], [2, 2]]]], [[3, 3, 1, 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-x-1, z < -(u^
2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-2, -2], [1646781/1048576, 823391/524288]
, [-2, -2]]]], [[3, 3, 1, 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-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304],
[-2, -2], [1646781/1048576, 823391/524288], [-1374407/2097152, -687203/1048576
]]]], [[3, 3, 1, 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-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], [1646781/1048576, 823391/524288], [0, 0]]]], [[3,
3, 1, 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-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2, -2], [1646781/
1048576, 823391/524288], [687203/1048576, 171801/262144]]]], [[3, 3, 1, 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
-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-2, -2], [1646781/1048576, 
823391/524288], [2, 2]]]], [[3, 7, 3, 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], [149551/
524288, 299103/1048576], [-2, -2]]]], [[3, 7, 3, 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],
[149551/524288, 299103/1048576], [-1374407/2097152, -687203/1048576]]]], [[3,
7, 3, 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], [149551/524288, 
299103/1048576], [0, 0]]]], [[3, 7, 3, 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], [149551/
524288, 299103/1048576], [687203/1048576, 171801/262144]]]], [[3, 7, 3, 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], [149551/524288, 299103/1048576], [2, 2]]]], [[5, 5, 7, 1, 1],
[And(-1 < v,v < 0), -v < u, 1 < x, y < -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)],
[regular_chain, [[-1/2, -1/2], [2, 2], [2, 2], [-8, -8], [-4, -4]]]], [[5, 5,
7, 1, 2], [And(-1 < v,v < 0), -v < u, 1 < x, y < -u^2+v^2-x-1, z = -(u^2-v^2+1
)^(1/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [2, 2], [-8, -8], [-2285319/
1048576, -1142659/524288]]]], [[5, 5, 7, 1, 3], [And(-1 < v,v < 0), -v < u, 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], [2, 2], [2, 2], [-8, -8], [0, 0]]]], [[5, 5, 7,
1, 4], [And(-1 < v,v < 0), -v < u, 1 < x, y < -u^2+v^2-x-1, z = (u^2-v^2+1)^(1
/2)], [regular_chain, [[-1/2, -1/2], [2, 2], [2, 2], [-8, -8], [1142659/524288
, 2285319/1048576]]]], [[5, 5, 7, 1, 5], [And(-1 < v,v < 0), -v < u, 1 < x, y
< -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [2, 2],
[2, 2], [-8, -8], [4, 4]]]], [[7, 2, 4, 3, 1], [And(0 < v,v < 1), u = -v, x =
1, And(-2 < y,y < 2), z < -1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1,
1], [0, 0], [-2, -2]]]], [[7, 2, 4, 3, 2], [And(0 < v,v < 1), u = -v, x = 1, 
And(-2 < y,y < 2), z = -1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1, 1],
[0, 0], [-1, -1]]]], [[7, 2, 4, 3, 3], [And(0 < v,v < 1), u = -v, x = 1, And(-\
2 < y,y < 2), And(-1 < z,z < 1)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [
1, 1], [0, 0], [0, 0]]]], [[7, 2, 4, 3, 4], [And(0 < v,v < 1), u = -v, x = 1,
And(-2 < y,y < 2), z = 1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1, 1],
[0, 0], [1, 1]]]], [[7, 2, 4, 3, 5], [And(0 < v,v < 1), u = -v, x = 1, And(-2
< y,y < 2), 1 < z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1, 1], [0, 0],
[2, 2]]]], [[9, 1, 2, 1, 1], [And(1 < v,v < 2^(1/2)), u < -v, 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], [-1, -1], [-4, -4]]]]
, [[9, 1, 2, 1, 2], [And(1 < v,v < 2^(1/2)), u < -v, 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], [-1, -1], [-1532401/524288, -\
24518415/8388608]]]], [[9, 1, 2, 1, 3], [And(1 < v,v < 2^(1/2)), 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], [-3, -3], [-4478937/524288
, -8957873/1048576], [-1, -1], [-7/16777216, -7/16777216]]]], [[9, 1, 2, 1, 4]
, [And(1 < v,v < 2^(1/2)), u < -v, 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], [-1, -1], [3064801/1048576, 1532401/524288]]]], [[9
, 1, 2, 1, 5], [And(1 < v,v < 2^(1/2)), u < -v, 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], [-1, -1], [4, 4]]]], [[9, 5, 6, 3, 1],
[And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, And
(-u^2+v^2-2 < y,y < u^2-v^2+2), z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [1, 1], [0, 0], [0, 0]]]], [[10, 3, 3, 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], [35579/131072, 284633
/1048576], [-2, -2]]]], [[10, 3, 3, 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], [35579/131072, 284633/1048576], [-1417877/
2097152, -354469/524288]]]], [[10, 3, 3, 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], [35579/131072, 284633
/1048576], [0, 0]]]], [[10, 3, 3, 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], [35579/131072, 284633/1048576], [354469/
524288, 708939/1048576]]]], [[10, 3, 3, 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], [35579/131072, 284633/1048576], [2, 2]]]],
[[10, 8, 1, 1, 1], [v = 2^(1/2), u = 1, x < -1, y < x, z < 0], [regular_chain,
[[741455/524288, 1482911/1048576], [1, 1], [-2, -2], [-3, -3], [-1, -1]]]], [[
10, 8, 1, 1, 2], [v = 2^(1/2), u = 1, x < -1, y < x, z = 0], [regular_chain, [
[741455/524288, 1482911/1048576], [1, 1], [-2, -2], [-3, -3], [0, 0]]]], [[10,
8, 1, 1, 3], [v = 2^(1/2), u = 1, x < -1, y < x, 0 < z], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [-2, -2], [-3, -3], [1, 1]]]], [[11,
7, 3, 4, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 <
x,x < 1), y = -u^2+v^2-x-1, z = z], [regular_chain, [[3, 3], [0, 0], [0, 0], [
8, 8], [0, 0]]]], [[11, 12, 1, 1, 1], [2^(1/2) < v, u = v, x < -1, y < x+1, z
< -1], [regular_chain, [[3, 3], [3, 3], [-2, -2], [-2, -2], [-2, -2]]]], [[11,
12, 1, 1, 2], [2^(1/2) < v, u = v, x < -1, y < x+1, z = -1], [regular_chain, [
[3, 3], [3, 3], [-2, -2], [-2, -2], [-1, -1]]]], [[11, 12, 1, 1, 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], [-2, -2], [0, 0]]]], [[11, 12, 1, 1, 4], [2^(1/2) < v, u = v, x
< -1, y < x+1, z = 1], [regular_chain, [[3, 3], [3, 3], [-2, -2], [-2, -2], [1
, 1]]]], [[11, 12, 1, 1, 5], [2^(1/2) < v, u = v, x < -1, y < x+1, 1 < z], [
regular_chain, [[3, 3], [3, 3], [-2, -2], [-2, -2], [2, 2]]]], [[1, 4, 2, 5, 1
], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -1, 1 < y, z < 0], [regular_chain, [
[-3, -3], [-2965821/1048576, -11863283/4194304], [-1, -1], [2, 2], [-1, -1]]]]
, [[1, 4, 2, 5, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -1, 1 < y, z = 0],
[regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-1, -1], [2
, 2], [0, 0]]]], [[1, 4, 2, 5, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -1,
1 < y, 0 < z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304
], [-1, -1], [2, 2], [1, 1]]]], [[1, 9, 2, 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]]]], [[2, 6, 2, 5, 1], [v = -2^(1/2), u = 0, x = -1, 2 < y, z =
z], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1, -1], [3,
3], [0, 0]]]], [[2, 11, 2, 2, 1], [v = -2^(1/2), -v < 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, 11, 2, 2, 2], [v = -2^(1/2), -v < 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, 11, 2, 2, 3], [v = -2^(1/2), -v < 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, 11, 2, 2,
4], [v = -2^(1/2), -v < 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, 11, 2, 2, 5], [v = -2^(1/2), -v < 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]]]], [[4, 5, 1, 2, 1], [v = -1
, And(0 < u,u < 1), x < -1, y = u^2+x, z < -u], [regular_chain, [[-1, -1], [1/
2, 1/2], [-2, -2], [-7/4, -7/4], [-2, -2]]]], [[4, 5, 1, 2, 2], [v = -1, And(0
< u,u < 1), x < -1, y = u^2+x, z = -u], [regular_chain, [[-1, -1], [1/2, 1/2],
[-2, -2], [-7/4, -7/4], [-1/2, -1/2]]]], [[4, 5, 1, 2, 3], [v = -1, And(0 < u,
u < 1), x < -1, y = u^2+x, And(-u < z,z < u)], [regular_chain, [[-1, -1], [1/2
, 1/2], [-2, -2], [-7/4, -7/4], [0, 0]]]], [[4, 5, 1, 2, 4], [v = -1, And(0 <
u,u < 1), x < -1, y = u^2+x, z = u], [regular_chain, [[-1, -1], [1/2, 1/2], [-\
2, -2], [-7/4, -7/4], [1/2, 1/2]]]], [[4, 5, 1, 2, 5], [v = -1, And(0 < u,u <
1), x < -1, y = u^2+x, u < z], [regular_chain, [[-1, -1], [1/2, 1/2], [-2, -2]
, [-7/4, -7/4], [2, 2]]]], [[5, 2, 5, 4, 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, 2, 5, 4, 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, 2, 5, 4, 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
, 2, 5, 4, 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, 2,
5, 4, 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]]]], [[7, 5, 5, 4, 1], [And(
0 < v,v < 1), v < u, And(-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], [2, 2], [0, 0], [19/4, 19/4], [-4, -4]]]], [[
7, 5, 5, 4, 2], [And(0 < v,v < 1), v < u, And(-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], [2, 2], [0, 0], [19/4, 
19/4], [-2285319/1048576, -1142659/524288]]]], [[7, 5, 5, 4, 3], [And(0 < v,v
< 1), v < u, And(-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], [2, 2], [0, 0], [19/4, 19/
4], [0, 0]]]], [[7, 5, 5, 4, 4], [And(0 < v,v < 1), v < u, And(-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], [2, 2],
[0, 0], [19/4, 19/4], [1142659/524288, 2285319/1048576]]]], [[7, 5, 5, 4, 5],
[And(0 < v,v < 1), v < u, And(-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], [2, 2], [0, 0], [19/4, 19/4], [4, 4]]]],
[[8, 5, 2, 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, 5,
2, 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
, 5, 2, 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,
5, 2, 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,
5, 2, 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]]]], [[10, 10,
5, 3, 1], [v = 2^(1/2), u = v, 1 < x, And(-1-x < y,y < x+1), z < -1], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [2, 2], [0, 0], [-2, -2]]]], [[10, 10, 5, 3, 2], [v = 2^(1/2), u = v
, 1 < x, And(-1-x < y,y < x+1), z = -1], [regular_chain, [[741455/524288, 
1482911/1048576], [741455/524288, 1482911/1048576], [2, 2], [0, 0], [-1, -1]]]
], [[10, 10, 5, 3, 3], [v = 2^(1/2), u = v, 1 < x, And(-1-x < y,y < x+1), And(
-1 < z,z < 1)], [regular_chain, [[741455/524288, 1482911/1048576], [741455/
524288, 1482911/1048576], [2, 2], [0, 0], [0, 0]]]], [[10, 10, 5, 3, 4], [v =
2^(1/2), u = v, 1 < x, And(-1-x < y,y < x+1), z = 1], [regular_chain, [[741455
/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [2, 2], [0, 0], [
1, 1]]]], [[10, 10, 5, 3, 5], [v = 2^(1/2), u = v, 1 < x, And(-1-x < y,y < x+1
), 1 < z], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288,
1482911/1048576], [2, 2], [0, 0], [2, 2]]]], [[11, 4, 4, 3, 1], [2^(1/2) < v,
u = -(v^2-1)^(1/2), x = 0, 0 < y, z < 0], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [0, 0], [1, 1], [-1, -1]]]], [[11, 4, 4, 3, 2], [
2^(1/2) < v, u = -(v^2-1)^(1/2), x = 0, 0 < y, z = 0], [regular_chain, [[3, 3]
, [-2965821/1048576, -11863283/4194304], [0, 0], [1, 1], [0, 0]]]], [[11, 4, 4
, 3, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 0, 0 < y, 0 < z], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [0, 0], [1, 1],
[1, 1]]]], [[1, 5, 1, 5, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2
)^(1/2)), x < -1, -u^2+v^2-x-1 < y, z = z], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [-2, -2], [4, 4], [0, 0]]]], [[1, 9, 1,
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+x+1 < y,y < -u^2+v^2-x-1), z = z], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [-2, -2], [0, 0], [0, 0]]]], [[2, 6, 5, 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, 10, 3, 2, 1], [v = -2^
(1/2), u = -v, And(-1 < x,x < 1), y = -1-x, z < -1], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [0, 0], [-\
1, -1], [-2, -2]]]], [[2, 10, 3, 2, 2], [v = -2^(1/2), u = -v, And(-1 < x,x <
1), y = -1-x, z = -1], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [0, 0], [-1, -1], [-1, -1]]]], [[2, 10, 3, 2,
3], [v = -2^(1/2), u = -v, And(-1 < x,x < 1), y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [0, 0], [-1, -1], [0, 0]]]], [[2, 10, 3, 2, 4], [v = -2^(1/2), u = -
v, And(-1 < x,x < 1), y = -1-x, z = 1], [regular_chain, [[-1482911/1048576, -\
741455/524288], [741455/524288, 1482911/1048576], [0, 0], [-1, -1], [1, 1]]]],
[[2, 10, 3, 2, 5], [v = -2^(1/2), u = -v, And(-1 < x,x < 1), y = -1-x, 1 < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [0, 0], [-1, -1], [2, 2]]]], [[4, 5, 7, 2, 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, 5, 7, 2, 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, 5, 7, 2, 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, 5, 7, 2, 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, 5, 7, 2, 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]]]]
, [[5, 2, 4, 5, 1], [And(-1 < v,v < 0), u = v, x = 1, 2 < y, z < -1], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1, 1], [3, 3], [-2, -2]]]], [[5,
2, 4, 5, 2], [And(-1 < v,v < 0), u = v, x = 1, 2 < y, z = -1], [regular_chain,
[[-1/2, -1/2], [-1/2, -1/2], [1, 1], [3, 3], [-1, -1]]]], [[5, 2, 4, 5, 3], [
And(-1 < v,v < 0), u = v, x = 1, 2 < y, And(-1 < z,z < 1)], [regular_chain, [[
-1/2, -1/2], [-1/2, -1/2], [1, 1], [3, 3], [0, 0]]]], [[5, 2, 4, 5, 4], [And(-\
1 < v,v < 0), u = v, x = 1, 2 < y, z = 1], [regular_chain, [[-1/2, -1/2], [-1/
2, -1/2], [1, 1], [3, 3], [1, 1]]]], [[5, 2, 4, 5, 5], [And(-1 < v,v < 0), u =
v, x = 1, 2 < y, 1 < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1, 1],
[3, 3], [2, 2]]]], [[8, 1, 1, 1, 1], [v = 1, u < -1, x < -u^2, y < u^2+x, z <
u], [regular_chain, [[1, 1], [-2, -2], [-5, -5], [-2, -2], [-3, -3]]]], [[8, 1
, 1, 1, 2], [v = 1, u < -1, x < -u^2, y < u^2+x, z = u], [regular_chain, [[1,
1], [-2, -2], [-5, -5], [-2, -2], [-2, -2]]]], [[8, 1, 1, 1, 3], [v = 1, u < -\
1, x < -u^2, y < u^2+x, And(u < z,z < -u)], [regular_chain, [[1, 1], [-2, -2],
[-5, -5], [-2, -2], [0, 0]]]], [[8, 1, 1, 1, 4], [v = 1, u < -1, x < -u^2, y <
u^2+x, z = -u], [regular_chain, [[1, 1], [-2, -2], [-5, -5], [-2, -2], [2, 2]]
]], [[8, 1, 1, 1, 5], [v = 1, u < -1, x < -u^2, y < u^2+x, -u < z], [
regular_chain, [[1, 1], [-2, -2], [-5, -5], [-2, -2], [3, 3]]]], [[8, 4, 5, 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, 4, 5, 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, 4, 5, 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]]]],
[[10, 11, 4, 5, 1], [v = 2^(1/2), v < u, x = -1, u^2-2 < y, z < -(u^2-1)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1, -1], [8, 8]
, [-4, -4]]]], [[10, 11, 4, 5, 2], [v = 2^(1/2), v < u, x = -1, u^2-2 < y, z =
-(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-\
1, -1], [8, 8], [-2965821/1048576, -11863283/4194304]]]], [[10, 11, 4, 5, 3],
[v = 2^(1/2), v < u, x = -1, u^2-2 < y, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/
2))], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1, -1], [8,
8], [-3/8388608, -3/8388608]]]], [[10, 11, 4, 5, 4], [v = 2^(1/2), v < u, x =
-1, u^2-2 < y, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [-1, -1], [8, 8], [741455/262144, 2965821/1048576]]]], [[10,
11, 4, 5, 5], [v = 2^(1/2), v < u, x = -1, u^2-2 < y, (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1, -1], [8, 8], [4
, 4]]]], [[11, 4, 2, 1, 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], [-2, -2], [-1, -1]]]], [[11, 4, 2, 1, 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], [-2, -2], [0, 0]]]], [[11, 4, 2, 1, 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], [-2, -2], [1, 1]]]], [[1, 12, 4
, 1, 1], [v < -2^(1/2), u = -v, x = 1, y < -2, z < -1], [regular_chain, [[-3,
-3], [3, 3], [1, 1], [-3, -3], [-2, -2]]]], [[1, 12, 4, 1, 2], [v < -2^(1/2),
u = -v, x = 1, y < -2, z = -1], [regular_chain, [[-3, -3], [3, 3], [1, 1], [-3
, -3], [-1, -1]]]], [[1, 12, 4, 1, 3], [v < -2^(1/2), u = -v, x = 1, y < -2, 
And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [3, 3], [1, 1], [-3, -3], [0, 0
]]]], [[1, 12, 4, 1, 4], [v < -2^(1/2), u = -v, x = 1, y < -2, z = 1], [
regular_chain, [[-3, -3], [3, 3], [1, 1], [-3, -3], [1, 1]]]], [[1, 12, 4, 1,
5], [v < -2^(1/2), u = -v, x = 1, y < -2, 1 < z], [regular_chain, [[-3, -3], [
3, 3], [1, 1], [-3, -3], [2, 2]]]], [[2, 3, 3, 2, 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, 3, 3, 2, 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, 3, 3, 2, 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, 3, 3, 2, 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, 3, 3, 2, 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]]]], [[3, 3, 2, 3, 1], [And(-2^(1/2) < v,v < -1), And(v <
u,u < -(v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < -u^2+v^2), z < -(u^2-v^2+1)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-1, -1], [0, 0], [-2, -2]]]], [[3, 3, 2, 3, 2], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(u^2-v^2 <
y,y < -u^2+v^2), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [0, 0], [-\
1374407/2097152, -687203/1048576]]]], [[3, 3, 2, 3, 3], [And(-2^(1/2) < v,v <
-1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < -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], [0
, 0], [0, 0]]]], [[3, 3, 2, 3, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(
v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < -u^2+v^2), z = (u^2-v^2+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1, -1], [0, 0], [687203/1048576, 171801/262144]]]], [[3, 3
, 2, 3, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -1,
And(u^2-v^2 < y,y < -u^2+v^2), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1,
-1], [0, 0], [2, 2]]]], [[3, 6, 5, 1, 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], [-2, -2], [-\
1, -1]]]], [[3, 6, 5, 1, 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], [-2, -2], [0, 0]]]], [[
3, 6, 5, 1, 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], [-2, -2], [1, 1]]]], [[6, 1, 4, 3,
1], [v = 0, u < 0, x = -1, And(-u^2 < y,y < u^2), z < -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-1, -1], [0, 0], [-3, -3]]]], [[6, 1, 4, 3,
2], [v = 0, u < 0, x = -1, And(-u^2 < y,y < u^2), z = -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-1, -1], [0, 0], [-1482911/1048576, -741455
/524288]]]], [[6, 1, 4, 3, 3], [v = 0, u < 0, x = -1, And(-u^2 < y,y < u^2), 
And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [-1, -1],
[-1, -1], [0, 0], [0, 0]]]], [[6, 1, 4, 3, 4], [v = 0, u < 0, x = -1, And(-u^2
< y,y < u^2), z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-1, -1],
[0, 0], [741455/524288, 1482911/1048576]]]], [[6, 1, 4, 3, 5], [v = 0, u < 0,
x = -1, And(-u^2 < y,y < u^2), (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-\
1, -1], [-1, -1], [0, 0], [3, 3]]]], [[7, 2, 1, 4, 1], [And(0 < v,v < 1), u =
-v, x < -1, y = -1-x, z < -1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2,
-2], [1, 1], [-2, -2]]]], [[7, 2, 1, 4, 2], [And(0 < v,v < 1), u = -v, x < -1,
y = -1-x, z = -1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [1, 1]
, [-1, -1]]]], [[7, 2, 1, 4, 3], [And(0 < v,v < 1), u = -v, x < -1, y = -1-x,
And(-1 < z,z < 1)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [1, 1
], [0, 0]]]], [[7, 2, 1, 4, 4], [And(0 < v,v < 1), u = -v, x < -1, y = -1-x, z
= 1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [1, 1], [1, 1]]]],
[[7, 2, 1, 4, 5], [And(0 < v,v < 1), u = -v, x < -1, y = -1-x, 1 < z], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [1, 1], [2, 2]]]], [[9, 1,
3, 2, 1], [And(1 < v,v < 2^(1/2)), 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], [-3, -3], [-10006449/2097152, -10006449/2097152], [-3954649/1048576
, -15818595/4194304], [-4, -4]]]], [[9, 1, 3, 2, 2], [And(1 < v,v < 2^(1/2)),
u < -v, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10006449/
2097152, -10006449/2097152], [-3954649/1048576, -15818595/4194304], [-1532401/
524288, -24518415/8388608]]]], [[9, 1, 3, 2, 3], [And(1 < v,v < 2^(1/2)), u <
-v, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3, -3], [-10006449/2097152, -10006449/2097152], [-3954649/1048576, -15818595/
4194304], [-7/16777216, -7/16777216]]]], [[9, 1, 3, 2, 4], [And(1 < v,v < 2^(1
/2)), u < -v, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-\
10006449/2097152, -10006449/2097152], [-3954649/1048576, -15818595/4194304], [
3064801/1048576, 1532401/524288]]]], [[9, 1, 3, 2, 5], [And(1 < v,v < 2^(1/2))
, u < -v, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10006449/
2097152, -10006449/2097152], [-3954649/1048576, -15818595/4194304], [4, 4]]]],
[[9, 4, 7, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), 1 < x, And(-x <
y,y < x), z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1417877/2097152, -354469/524288], [2, 2], [0, 0], [-1, -1]]]], [[9, 4, 7, 3, 2
], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), 1 < x, And(-x < y,y < x), z =
0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [2, 2], [0, 0], [0, 0]]]], [[9, 4, 7, 3, 3], [And(1 < v,v < 2^
(1/2)), u = -(v^2-1)^(1/2), 1 < x, And(-x < y,y < x), 0 < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2
], [0, 0], [1, 1]]]], [[10, 4, 2, 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, 4, 2, 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, 4, 2, 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, 7, 7, 2, 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]]]], [[11, 7, 6, 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, 11, 3, 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], [133001/524288, 266003/1048576], [
-2, -2]]]], [[11, 11, 3, 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], [133001/524288, 266003/1048576], [-735979/1048576, -1471957/
2097152]]]], [[11, 11, 3, 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], [133001/524288, 266003/1048576], [-1/
4194304, -1/4194304]]]], [[11, 11, 3, 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], [133001/524288, 266003/1048576], [367989/524288, 735979/
1048576]]]], [[11, 11, 3, 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], [133001/524288, 266003/1048576], [2, 2]]]], [[1, 5, 1, 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-x-1, z = z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [-2, -2], [2630187/1048576, 657547/262144], [0, 0]]]], [[1, 9, 1, 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+x+1, z = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [
-2, -2], [-5260377/2097152, -657547/262144], [0, 0]]]], [[2, 6, 5, 5, 1], [v =
-2^(1/2), u = 0, 1 < x, x-1 < y, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [2, 2], [2, 2], [0, 0]]]], [[2, 10, 3, 3, 1], [v = -2^
(1/2), u = -v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z < -1], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [0, 0], [0, 0], [-2, -2]]]], [[2, 10, 3, 3, 2], [v = -2^(1/2), u = -
v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z = -1], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [0, 0], [0
, 0], [-1, -1]]]], [[2, 10, 3, 3, 3], [v = -2^(1/2), u = -v, And(-1 < x,x < 1)
, And(-1-x < y,y < x+1), And(-1 < z,z < 1)], [regular_chain, [[-1482911/
1048576, -741455/524288], [741455/524288, 1482911/1048576], [0, 0], [0, 0], [0
, 0]]]], [[2, 10, 3, 3, 4], [v = -2^(1/2), u = -v, And(-1 < x,x < 1), And(-1-x
< y,y < x+1), z = 1], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [0, 0], [0, 0], [1, 1]]]], [[2, 10, 3, 3, 5],
[v = -2^(1/2), u = -v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), 1 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [0, 0], [0, 0], [2, 2]]]], [[4, 5, 7, 1, 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],
[-4, -4], [-2, -2]]]], [[4, 5, 7, 1, 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], [-4, -4], [-1/
2, -1/2]]]], [[4, 5, 7, 1, 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], [-4, -4], [
0, 0]]]], [[4, 5, 7, 1, 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], [-4, -4], [1/2, 1/2]]]], [[
4, 5, 7, 1, 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], [-4, -4], [2, 2]]]], [[5, 2, 4,
4, 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, 2, 4, 4, 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, 2, 4, 4, 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, 2, 4, 4, 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, 2, 4, 4, 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]]]], [[
8, 1, 1, 2, 1], [v = 1, u < -1, x < -u^2, y = u^2+x, z < u], [regular_chain, [
[1, 1], [-2, -2], [-5, -5], [-1, -1], [-3, -3]]]], [[8, 1, 1, 2, 2], [v = 1, u
< -1, x < -u^2, y = u^2+x, z = u], [regular_chain, [[1, 1], [-2, -2], [-5, -5]
, [-1, -1], [-2, -2]]]], [[8, 1, 1, 2, 3], [v = 1, u < -1, x < -u^2, y = u^2+x
, And(u < z,z < -u)], [regular_chain, [[1, 1], [-2, -2], [-5, -5], [-1, -1], [
0, 0]]]], [[8, 1, 1, 2, 4], [v = 1, u < -1, x < -u^2, y = u^2+x, z = -u], [
regular_chain, [[1, 1], [-2, -2], [-5, -5], [-1, -1], [2, 2]]]], [[8, 1, 1, 2,
5], [v = 1, u < -1, x < -u^2, y = u^2+x, -u < z], [regular_chain, [[1, 1], [-2
, -2], [-5, -5], [-1, -1], [3, 3]]]], [[8, 4, 5, 5, 1], [v = 1, u = 0, And(0 <
x,x < 1), x < y, z < 0], [regular_chain, [[1, 1], [0, 0], [1/2, 1/2], [2, 2],
[-1, -1]]]], [[8, 4, 5, 5, 2], [v = 1, u = 0, And(0 < x,x < 1), x < y, z = 0],
[regular_chain, [[1, 1], [0, 0], [1/2, 1/2], [2, 2], [0, 0]]]], [[8, 4, 5, 5,
3], [v = 1, u = 0, And(0 < x,x < 1), x < y, 0 < z], [regular_chain, [[1, 1], [
0, 0], [1/2, 1/2], [2, 2], [1, 1]]]], [[10, 11, 4, 4, 1], [v = 2^(1/2), v < 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, 11, 4, 4, 2], [
v = 2^(1/2), v < 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, 11, 4, 4, 3], [v = 2^(1/2), v < 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, 11, 4, 4, 4], [v = 2^(1/2), v < 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, 11, 4, 4, 5], [v = 2^(1/2), v <
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, 4, 1, 5, 1], [2^(
1/2) < v, u = -(v^2-1)^(1/2), x < -1, -x < y, z < 0], [regular_chain, [[3, 3],
[-2965821/1048576, -11863283/4194304], [-2, -2], [3, 3], [-1, -1]]]], [[11, 4,
1, 5, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -1, -x < y, z = 0], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-2, -2], [3, 3
], [0, 0]]]], [[11, 4, 1, 5, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -1, -x
< y, 0 < z], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [
-2, -2], [3, 3], [1, 1]]]], [[1, 12, 3, 5, 1], [v < -2^(1/2), u = -v, And(-1 <
x,x < 1), x+1 < y, z < -1], [regular_chain, [[-3, -3], [3, 3], [0, 0], [2, 2],
[-2, -2]]]], [[1, 12, 3, 5, 2], [v < -2^(1/2), u = -v, And(-1 < x,x < 1), x+1
< y, z = -1], [regular_chain, [[-3, -3], [3, 3], [0, 0], [2, 2], [-1, -1]]]],
[[1, 12, 3, 5, 3], [v < -2^(1/2), u = -v, And(-1 < x,x < 1), x+1 < y, And(-1 <
z,z < 1)], [regular_chain, [[-3, -3], [3, 3], [0, 0], [2, 2], [0, 0]]]], [[1,
12, 3, 5, 4], [v < -2^(1/2), u = -v, And(-1 < x,x < 1), x+1 < y, z = 1], [
regular_chain, [[-3, -3], [3, 3], [0, 0], [2, 2], [1, 1]]]], [[1, 12, 3, 5, 5]
, [v < -2^(1/2), u = -v, And(-1 < x,x < 1), x+1 < y, 1 < z], [regular_chain, [
[-3, -3], [3, 3], [0, 0], [2, 2], [2, 2]]]], [[2, 3, 3, 1, 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], [-2, -2], [-2, -2]]]],
[[2, 3, 3, 1, 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], [-2, -2], [-1417877/2097152, -354469/524288]]]], [[2, 3, 3, 1, 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], [-2, -2], [0, 0]]]], [[2, 3, 3, 1, 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], [-2, -2], [354469/
524288, 708939/1048576]]]], [[2, 3, 3, 1, 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], [-2, -2], [2, 2]]]], [[3, 3, 2, 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], [598205/1048576, 299103/
524288], [-2, -2]]]], [[3, 3, 2, 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], [598205/1048576, 299103/524288], [-1374407/2097152
, -687203/1048576]]]], [[3, 3, 2, 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], [598205/1048576, 299103/524288],
[0, 0]]]], [[3, 3, 2, 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], [598205/1048576, 299103/524288], [687203/1048576, 171801/262144]]]], [[3,
3, 2, 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], [598205/
1048576, 299103/524288], [2, 2]]]], [[3, 6, 5, 2, 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, 6, 5, 2, 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, 6, 5, 2, 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]]]], [[6, 1, 4, 2, 1], [v = 0, u < 0, x = -1, y = -u^2, z < -(u^2+1)^(1/2
)], [regular_chain, [[0, 0], [-1, -1], [-1, -1], [-1, -1], [-3, -3]]]], [[6, 1
, 4, 2, 2], [v = 0, u < 0, x = -1, y = -u^2, z = -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-1, -1], [-1, -1], [-1482911/1048576, -\
741455/524288]]]], [[6, 1, 4, 2, 3], [v = 0, 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, -1], [-1, -1
], [-1, -1], [0, 0]]]], [[6, 1, 4, 2, 4], [v = 0, u < 0, x = -1, y = -u^2, z =
(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-1, -1], [-1, -1], [741455
/524288, 1482911/1048576]]]], [[6, 1, 4, 2, 5], [v = 0, u < 0, x = -1, y = -u^
2, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [-1, -1], [-1, -1],
[3, 3]]]], [[7, 2, 1, 3, 1], [And(0 < v,v < 1), u = -v, x < -1, And(x+1 < y,y
< -1-x), z < -1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [0, 0],
[-2, -2]]]], [[7, 2, 1, 3, 2], [And(0 < v,v < 1), u = -v, x < -1, And(x+1 < y,
y < -1-x), z = -1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [0, 0
], [-1, -1]]]], [[7, 2, 1, 3, 3], [And(0 < v,v < 1), u = -v, x < -1, And(x+1 <
y,y < -1-x), And(-1 < z,z < 1)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-\
2, -2], [0, 0], [0, 0]]]], [[7, 2, 1, 3, 4], [And(0 < v,v < 1), u = -v, x < -1
, And(x+1 < y,y < -1-x), z = 1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-\
2, -2], [0, 0], [1, 1]]]], [[7, 2, 1, 3, 5], [And(0 < v,v < 1), u = -v, x < -1
, And(x+1 < y,y < -1-x), 1 < z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-\
2, -2], [0, 0], [2, 2]]]], [[9, 1, 3, 3, 1], [And(1 < v,v < 2^(1/2)), u < -v,
And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,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], [-3/8388608, -3/8388608], [-4, -4]]]],
[[9, 1, 3, 3, 2], [And(1 < v,v < 2^(1/2)), u < -v, And(-u^2+v^2-1 < x,x < -1),
And(-u^2+v^2-x-1 < y,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], [-3/8388608, -3/8388608], [-1532401/524288, -24518415/8388608]]]],
[[9, 1, 3, 3, 3], [And(1 < v,v < 2^(1/2)), u < -v, And(-u^2+v^2-1 < x,x < -1),
And(-u^2+v^2-x-1 < y,y < u^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], [-3/8388608, -3/8388608], [-7/16777216,
-7/16777216]]]], [[9, 1, 3, 3, 4], [And(1 < v,v < 2^(1/2)), u < -v, And(-u^2+v
^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,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], [-3/8388608, -3/8388608], [3064801/1048576, 
1532401/524288]]]], [[9, 1, 3, 3, 5], [And(1 < v,v < 2^(1/2)), u < -v, And(-u^
2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,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], [-3/8388608, -3/8388608], [4, 4]]]], [[9
, 4, 7, 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, 4, 7, 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, 4, 7, 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]]]], [[10, 4, 2, 3, 1]
, [v = 2^(1/2), u = -1, x = -1, And(-1 < y,y < 1), z < 0], [regular_chain, [[
741455/524288, 1482911/1048576], [-1, -1], [-1, -1], [0, 0], [-1, -1]]]], [[10
, 4, 2, 3, 2], [v = 2^(1/2), u = -1, x = -1, And(-1 < y,y < 1), z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1, -1], [0, 0],
[0, 0]]]], [[10, 4, 2, 3, 3], [v = 2^(1/2), u = -1, x = -1, And(-1 < y,y < 1),
0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1, -1],
[0, 0], [1, 1]]]], [[10, 7, 7, 1, 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], [-3, -3], [0, 0]]]], [[11, 7, 6, 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, 11, 3, 5, 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
< -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-391287/524288, -391287/524288], [2, 2], [-2, -2]]]], [[11, 11, 3,
5, 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 = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-391287/524288, -391287/524288], [2, 2], [-735979/
1048576, -1471957/2097152]]]], [[11, 11, 3, 5, 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(-(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], [2, 2], [-1/4194304, -1/
4194304]]]], [[11, 11, 3, 5, 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 = (u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-391287/524288, -\
391287/524288], [2, 2], [367989/524288, 735979/1048576]]]], [[11, 11, 3, 5, 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, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-391287/524288, -391287/524288], [2, 2], [2, 2]]]]
, [[1, 5, 1, 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+x+1 < y,y < -u^2+v^2-x-1), z = z], [regular_chain, [[-3, -\
3], [-22960369/8388608, -22960369/8388608], [-2, -2], [-1/4194304, -1/4194304]
, [0, 0]]]], [[1, 9, 1, 5, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1
)^(1/2)), x < -1, -u^2+v^2-x-1 < y, z = z], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [-2, -2], [4, 4], [0, 0]]]], [[2, 6, 5, 2, 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, 10, 3, 4,
1], [v = -2^(1/2), u = -v, And(-1 < x,x < 1), y = x+1, z < -1], [regular_chain
, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [0, 0
], [1, 1], [-2, -2]]]], [[2, 10, 3, 4, 2], [v = -2^(1/2), u = -v, And(-1 < x,x
< 1), y = x+1, z = -1], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [0, 0], [1, 1], [-1, -1]]]], [[2, 10, 3, 4, 3
], [v = -2^(1/2), u = -v, And(-1 < x,x < 1), y = x+1, And(-1 < z,z < 1)], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [0, 0], [1, 1], [0, 0]]]], [[2, 10, 3, 4, 4], [v = -2^(1/2), u = -v,
And(-1 < x,x < 1), y = x+1, z = 1], [regular_chain, [[-1482911/1048576, -\
741455/524288], [741455/524288, 1482911/1048576], [0, 0], [1, 1], [1, 1]]]], [
[2, 10, 3, 4, 5], [v = -2^(1/2), u = -v, And(-1 < x,x < 1), y = x+1, 1 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [0, 0], [1, 1], [2, 2]]]], [[4, 5, 6, 5, 1], [v = -1, And(0 < u,u <
1), x = 1, u^2+1 < y, z < -u], [regular_chain, [[-1, -1], [1/2, 1/2], [1, 1],
[3, 3], [-2, -2]]]], [[4, 5, 6, 5, 2], [v = -1, And(0 < u,u < 1), x = 1, u^2+1
< y, z = -u], [regular_chain, [[-1, -1], [1/2, 1/2], [1, 1], [3, 3], [-1/2, -1
/2]]]], [[4, 5, 6, 5, 3], [v = -1, And(0 < u,u < 1), x = 1, u^2+1 < y, And(-u
< z,z < u)], [regular_chain, [[-1, -1], [1/2, 1/2], [1, 1], [3, 3], [0, 0]]]],
[[4, 5, 6, 5, 4], [v = -1, And(0 < u,u < 1), x = 1, u^2+1 < y, z = u], [
regular_chain, [[-1, -1], [1/2, 1/2], [1, 1], [3, 3], [1/2, 1/2]]]], [[4, 5, 6
, 5, 5], [v = -1, And(0 < u,u < 1), x = 1, u^2+1 < y, u < z], [regular_chain,
[[-1, -1], [1/2, 1/2], [1, 1], [3, 3], [2, 2]]]], [[5, 2, 5, 2, 1], [And(-1 <
v,v < 0), u = v, 1 < x, y = -1-x, z < -1], [regular_chain, [[-1/2, -1/2], [-1/
2, -1/2], [2, 2], [-3, -3], [-2, -2]]]], [[5, 2, 5, 2, 2], [And(-1 < v,v < 0),
u = v, 1 < x, y = -1-x, z = -1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2],
[2, 2], [-3, -3], [-1, -1]]]], [[5, 2, 5, 2, 3], [And(-1 < v,v < 0), u = v, 1
< x, y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2]
, [2, 2], [-3, -3], [0, 0]]]], [[5, 2, 5, 2, 4], [And(-1 < v,v < 0), u = v, 1
< x, y = -1-x, z = 1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [-\
3, -3], [1, 1]]]], [[5, 2, 5, 2, 5], [And(-1 < v,v < 0), u = v, 1 < x, y = -1-
x, 1 < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [-3, -3], [2,
2]]]], [[7, 5, 7, 4, 1], [And(0 < v,v < 1), v < u, 1 < x, y = u^2-v^2+x+1, z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [2, 2], [27/4, 27/4]
, [-4, -4]]]], [[7, 5, 7, 4, 2], [And(0 < v,v < 1), v < u, 1 < x, y = u^2-v^2+
x+1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [2, 2], [27
/4, 27/4], [-2285319/1048576, -1142659/524288]]]], [[7, 5, 7, 4, 3], [And(0 <
v,v < 1), v < u, 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], [2, 2], [2, 2], [27/4, 27/4], [0,
0]]]], [[7, 5, 7, 4, 4], [And(0 < v,v < 1), v < u, 1 < x, y = u^2-v^2+x+1, z =
(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [2, 2], [27/4, 27/4],
[1142659/524288, 2285319/1048576]]]], [[7, 5, 7, 4, 5], [And(0 < v,v < 1), v <
u, 1 < x, y = u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2]
, [2, 2], [2, 2], [27/4, 27/4], [4, 4]]]], [[8, 4, 6, 1, 1], [v = 1, u = 0, x
= 1, y < -1, z < 0], [regular_chain, [[1, 1], [0, 0], [1, 1], [-2, -2], [-1, -\
1]]]], [[8, 4, 6, 1, 2], [v = 1, u = 0, x = 1, y < -1, z = 0], [regular_chain,
[[1, 1], [0, 0], [1, 1], [-2, -2], [0, 0]]]], [[8, 4, 6, 1, 3], [v = 1, u = 0,
x = 1, y < -1, 0 < z], [regular_chain, [[1, 1], [0, 0], [1, 1], [-2, -2], [1,
1]]]], [[10, 11, 4, 3, 1], [v = 2^(1/2), v < u, x = -1, And(-u^2+2 < y,y < u^2
-2), z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3, 3], [-1, -1], [0, 0], [-4, -4]]]], [[10, 11, 4, 3, 2], [v = 2^(1/2), v < u,
x = -1, And(-u^2+2 < y,y < u^2-2), z = -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [-1, -1], [0, 0], [-2965821/1048576,
-11863283/4194304]]]], [[10, 11, 4, 3, 3], [v = 2^(1/2), v < u, x = -1, And(-u
^2+2 < y,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], [0, 0], [-\
3/8388608, -3/8388608]]]], [[10, 11, 4, 3, 4], [v = 2^(1/2), v < u, x = -1, 
And(-u^2+2 < y,y < u^2-2), z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [3, 3], [-1, -1], [0, 0], [741455/262144, 2965821/1048576]
]]], [[10, 11, 4, 3, 5], [v = 2^(1/2), v < u, x = -1, And(-u^2+2 < y,y < u^2-2
), (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3,
3], [-1, -1], [0, 0], [4, 4]]]], [[11, 4, 2, 3, 1], [2^(1/2) < v, u = -(v^2-1)
^(1/2), x = -1, And(-1 < y,y < 1), z < 0], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [-1, -1], [0, 0], [-1, -1]]]], [[11, 4, 2, 3, 2],
[2^(1/2) < v, u = -(v^2-1)^(1/2), x = -1, And(-1 < y,y < 1), z = 0], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1, -1], [0, 0
], [0, 0]]]], [[11, 4, 2, 3, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -1, And
(-1 < y,y < 1), 0 < z], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [-1, -1], [0, 0], [1, 1]]]], [[1, 12, 3, 4, 1], [v < -2^(1/2), u = -
v, And(-1 < x,x < 1), y = x+1, z < -1], [regular_chain, [[-3, -3], [3, 3], [0,
0], [1, 1], [-2, -2]]]], [[1, 12, 3, 4, 2], [v < -2^(1/2), u = -v, And(-1 < x,
x < 1), y = x+1, z = -1], [regular_chain, [[-3, -3], [3, 3], [0, 0], [1, 1], [
-1, -1]]]], [[1, 12, 3, 4, 3], [v < -2^(1/2), u = -v, And(-1 < x,x < 1), y = x
+1, And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [3, 3], [0, 0], [1, 1], [0,
0]]]], [[1, 12, 3, 4, 4], [v < -2^(1/2), u = -v, And(-1 < x,x < 1), y = x+1, z
= 1], [regular_chain, [[-3, -3], [3, 3], [0, 0], [1, 1], [1, 1]]]], [[1, 12, 3
, 4, 5], [v < -2^(1/2), u = -v, And(-1 < x,x < 1), y = x+1, 1 < z], [
regular_chain, [[-3, -3], [3, 3], [0, 0], [1, 1], [2, 2]]]], [[2, 3, 3, 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], [35579/
131072, 284633/1048576], [-2, -2]]]], [[2, 3, 3, 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], [35579/131072, 284633/
1048576], [-1417877/2097152, -354469/524288]]]], [[2, 3, 3, 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],
[35579/131072, 284633/1048576], [0, 0]]]], [[2, 3, 3, 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], [35579/131072, 284633/
1048576], [354469/524288, 708939/1048576]]]], [[2, 3, 3, 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], [35579/131072, 284633/
1048576], [2, 2]]]], [[3, 3, 2, 1, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u
< -(v^2-1)^(1/2)), x = -1, y < u^2-v^2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1, -1], [-2, -2], [-2, -2]]]], [[3, 3, 2, 1, 2], [And(-2^(
1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, y < u^2-v^2, z = -(u^
2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1, -1], [-2, -2], [-1374407/2097152, -\
687203/1048576]]]], [[3, 3, 2, 1, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u <
-(v^2-1)^(1/2)), x = -1, y < u^2-v^2, And(-(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], [-2, -2], [0, 0]]]], [[3, 3, 2, 1, 4], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, y < u^2-v^2,
z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-3949363/4194304, -3949363/4194304], [-1, -1], [-2, -2], [687203/1048576, 
171801/262144]]]], [[3, 3, 2, 1, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u <
-(v^2-1)^(1/2)), x = -1, y < u^2-v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [
-1, -1], [-2, -2], [2, 2]]]], [[3, 6, 5, 3, 1], [And(-2^(1/2) < v,v < -1), u =
(v^2-1)^(1/2), And(0 < x,x < 1), And(-x < y,y < x), z < 0], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/
2], [0, 0], [-1, -1]]]], [[3, 6, 5, 3, 2], [And(-2^(1/2) < v,v < -1), u = (v^2
-1)^(1/2), And(0 < x,x < 1), And(-x < y,y < x), z = 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2
], [0, 0], [0, 0]]]], [[3, 6, 5, 3, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)
^(1/2), And(0 < x,x < 1), And(-x < y,y < x), 0 < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2
], [0, 0], [1, 1]]]], [[6, 1, 4, 1, 1], [v = 0, u < 0, x = -1, y < -u^2, z < -
(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-1, -1], [-2, -2], [-3, -3
]]]], [[6, 1, 4, 1, 2], [v = 0, u < 0, x = -1, y < -u^2, z = -(u^2+1)^(1/2)],
[regular_chain, [[0, 0], [-1, -1], [-1, -1], [-2, -2], [-1482911/1048576, -\
741455/524288]]]], [[6, 1, 4, 1, 3], [v = 0, 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, -1], [-1, -1
], [-2, -2], [0, 0]]]], [[6, 1, 4, 1, 4], [v = 0, u < 0, x = -1, y < -u^2, z =
(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-1, -1], [-2, -2], [741455
/524288, 1482911/1048576]]]], [[6, 1, 4, 1, 5], [v = 0, u < 0, x = -1, y < -u^
2, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [-1, -1], [-2, -2],
[3, 3]]]], [[7, 2, 2, 1, 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], [-1, -1], [-2, -2]]]],
[[7, 2, 2, 1, 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], [-1, -1], [-1, -1]]]], [[7
, 2, 2, 1, 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], [-1, -1], [0, 0]]]], [[7,
2, 2, 1, 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], [-1, -1], [1, 1]]]], [[7, 2, 2, 1, 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], [-1, -1], [2, 2]]]], [[9, 1, 2, 3, 1], [And(1 < v,v <
2^(1/2)), u < -v, x = -u^2+v^2-1, 0 < y, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-4478937/524288
, -8957873/1048576], [1, 1], [-4, -4]]]], [[9, 1, 2, 3, 2], [And(1 < v,v < 2^(
1/2)), u < -v, x = -u^2+v^2-1, 0 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3, -3], [-4478937/524288, -8957873/
1048576], [1, 1], [-1532401/524288, -24518415/8388608]]]], [[9, 1, 2, 3, 3], [
And(1 < v,v < 2^(1/2)), u < -v, x = -u^2+v^2-1, 0 < y, 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], [1, 1], [-7/16777216,
-7/16777216]]]], [[9, 1, 2, 3, 4], [And(1 < v,v < 2^(1/2)), u < -v, x = -u^2+v
^2-1, 0 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [-4478937/524288, -8957873/1048576], [1, 1], [
3064801/1048576, 1532401/524288]]]], [[9, 1, 2, 3, 5], [And(1 < v,v < 2^(1/2))
, u < -v, x = -u^2+v^2-1, 0 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [-4478937/524288, -8957873/
1048576], [1, 1], [4, 4]]]], [[9, 4, 7, 5, 1], [And(1 < v,v < 2^(1/2)), u = -(
v^2-1)^(1/2), 1 < x, x < y, z < 0], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-1417877/2097152, -354469/524288], [2, 2], [3, 3], [-1, -1]]]], [[
9, 4, 7, 5, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), 1 < x, x < y, z =
0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [2, 2], [3, 3], [0, 0]]]], [[9, 4, 7, 5, 3], [And(1 < v,v < 2^
(1/2)), u = -(v^2-1)^(1/2), 1 < x, x < y, 0 < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2], [3, 3],
[1, 1]]]], [[10, 4, 2, 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, 4, 2, 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, 4, 2, 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, 7, 7, 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]]]], [[11, 7, 5, 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 = -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
, 11, 4, 1, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y
< 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [-129143/262144, -516571/1048576], [-1, -1], [-2, -2]]]], [[
11, 11, 4, 1, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1,
y < 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [-129143/262144, -516571/1048576], [-1, -1], [-735979/
1048576, -1471957/2097152]]]], [[11, 11, 4, 1, 3], [2^(1/2) < v, And((v^2-1)^(
1/2) < u,u < v), x = -u^2+v^2-1, y < 0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^
2+1)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-\
129143/262144, -516571/1048576], [-1, -1], [-1/4194304, -1/4194304]]]], [[11,
11, 4, 1, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y <
0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-129143/262144, -516571/1048576], [-1, -1], [367989/524288, 735979/
1048576]]]], [[11, 11, 4, 1, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x
= -u^2+v^2-1, y < 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [6111549
/2097152, 6111549/2097152], [-129143/262144, -516571/1048576], [-1, -1], [2, 2
]]]], [[1, 5, 1, 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+x+1, z = z], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-2, -2], [-657547/262144, -5260375/2097152], [0,
0]]]], [[1, 9, 1, 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-x-1, z = z], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [-2, -2], [657547/262144, 2630189/1048576], [0, 0]]]]
, [[2, 6, 5, 3, 1], [v = -2^(1/2), u = 0, 1 < x, And(-x+1 < y,y < x-1), z = z]
, [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [2, 2], [0, 0],
[0, 0]]]], [[2, 10, 3, 5, 1], [v = -2^(1/2), u = -v, And(-1 < x,x < 1), x+1 <
y, z < -1], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/
524288, 1482911/1048576], [0, 0], [2, 2], [-2, -2]]]], [[2, 10, 3, 5, 2], [v =
-2^(1/2), u = -v, And(-1 < x,x < 1), x+1 < y, z = -1], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [0, 0], [2
, 2], [-1, -1]]]], [[2, 10, 3, 5, 3], [v = -2^(1/2), u = -v, And(-1 < x,x < 1)
, x+1 < y, And(-1 < z,z < 1)], [regular_chain, [[-1482911/1048576, -741455/
524288], [741455/524288, 1482911/1048576], [0, 0], [2, 2], [0, 0]]]], [[2, 10,
3, 5, 4], [v = -2^(1/2), u = -v, And(-1 < x,x < 1), x+1 < y, z = 1], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [0, 0], [2, 2], [1, 1]]]], [[2, 10, 3, 5, 5], [v = -2^(1/2), u = -v,
And(-1 < x,x < 1), x+1 < y, 1 < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [741455/524288, 1482911/1048576], [0, 0], [2, 2], [2, 2]]]], [
[4, 5, 6, 4, 1], [v = -1, And(0 < u,u < 1), x = 1, y = u^2+1, z < -u], [
regular_chain, [[-1, -1], [1/2, 1/2], [1, 1], [5/4, 5/4], [-2, -2]]]], [[4, 5,
6, 4, 2], [v = -1, And(0 < u,u < 1), x = 1, y = u^2+1, z = -u], [regular_chain
, [[-1, -1], [1/2, 1/2], [1, 1], [5/4, 5/4], [-1/2, -1/2]]]], [[4, 5, 6, 4, 3]
, [v = -1, And(0 < u,u < 1), x = 1, y = u^2+1, And(-u < z,z < u)], [
regular_chain, [[-1, -1], [1/2, 1/2], [1, 1], [5/4, 5/4], [0, 0]]]], [[4, 5, 6
, 4, 4], [v = -1, And(0 < u,u < 1), x = 1, y = u^2+1, z = u], [regular_chain,
[[-1, -1], [1/2, 1/2], [1, 1], [5/4, 5/4], [1/2, 1/2]]]], [[4, 5, 6, 4, 5], [v
= -1, And(0 < u,u < 1), x = 1, y = u^2+1, u < z], [regular_chain, [[-1, -1], [
1/2, 1/2], [1, 1], [5/4, 5/4], [2, 2]]]], [[5, 2, 5, 1, 1], [And(-1 < v,v < 0)
, u = v, 1 < x, y < -1-x, z < -1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2]
, [2, 2], [-4, -4], [-2, -2]]]], [[5, 2, 5, 1, 2], [And(-1 < v,v < 0), u = v,
1 < x, y < -1-x, z = -1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2],
[-4, -4], [-1, -1]]]], [[5, 2, 5, 1, 3], [And(-1 < v,v < 0), u = v, 1 < x, y <
-1-x, And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2],
[-4, -4], [0, 0]]]], [[5, 2, 5, 1, 4], [And(-1 < v,v < 0), u = v, 1 < x, y < -\
1-x, z = 1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [-4, -4], [1
, 1]]]], [[5, 2, 5, 1, 5], [And(-1 < v,v < 0), u = v, 1 < x, y < -1-x, 1 < z],
[regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [-4, -4], [2, 2]]]], [[7,
5, 7, 5, 1], [And(0 < v,v < 1), v < u, 1 < x, u^2-v^2+x+1 < y, z < -(u^2-v^2+1
)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [2, 2], [8, 8], [-4, -4]]]], [[
7, 5, 7, 5, 2], [And(0 < v,v < 1), v < u, 1 < x, u^2-v^2+x+1 < y, z = -(u^2-v^
2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [2, 2], [8, 8], [-2285319/
1048576, -1142659/524288]]]], [[7, 5, 7, 5, 3], [And(0 < v,v < 1), v < u, 1 <
x, u^2-v^2+x+1 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [2, 2], [2, 2], [8, 8], [0, 0]]]], [[7, 5, 7, 5, 4
], [And(0 < v,v < 1), v < u, 1 < x, u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [2, 2], [2, 2], [8, 8], [1142659/524288, 2285319/
1048576]]]], [[7, 5, 7, 5, 5], [And(0 < v,v < 1), v < u, 1 < x, u^2-v^2+x+1 <
y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [2, 2], [2, 2], [8, 8]
, [4, 4]]]], [[8, 4, 6, 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, 4, 6, 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, 4, 6, 2, 3], [v = 1, u = 0, x = 1, y = -1, 0 < z
], [regular_chain, [[1, 1], [0, 0], [1, 1], [-1, -1], [1, 1]]]], [[10, 11, 4,
2, 1], [v = 2^(1/2), v < 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, 11, 4, 2, 2], [v = 2^(1/2), v < 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, 11, 4, 2, 3]
, [v = 2^(1/2), v < 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, 11, 4, 2, 4], [v = 2^(1/2), v < 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, 11, 4, 2, 5], [v = 2^(1/2), v < 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, 4, 2, 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, 4, 2, 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, 4, 2, 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]]]], [[1,
12, 3, 3, 1], [v < -2^(1/2), u = -v, And(-1 < x,x < 1), And(-1-x < y,y < x+1),
z < -1], [regular_chain, [[-3, -3], [3, 3], [0, 0], [0, 0], [-2, -2]]]], [[1,
12, 3, 3, 2], [v < -2^(1/2), u = -v, And(-1 < x,x < 1), And(-1-x < y,y < x+1),
z = -1], [regular_chain, [[-3, -3], [3, 3], [0, 0], [0, 0], [-1, -1]]]], [[1,
12, 3, 3, 3], [v < -2^(1/2), u = -v, And(-1 < x,x < 1), And(-1-x < y,y < x+1),
And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [3, 3], [0, 0], [0, 0], [0, 0]]
]], [[1, 12, 3, 3, 4], [v < -2^(1/2), u = -v, And(-1 < x,x < 1), And(-1-x < y,
y < x+1), z = 1], [regular_chain, [[-3, -3], [3, 3], [0, 0], [0, 0], [1, 1]]]]
, [[1, 12, 3, 3, 5], [v < -2^(1/2), u = -v, And(-1 < x,x < 1), And(-1-x < y,y
< x+1), 1 < z], [regular_chain, [[-3, -3], [3, 3], [0, 0], [0, 0], [2, 2]]]],
[[2, 3, 3, 3, 1], [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), 
And(u^2+x-1 < y,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], [0, 0], [-2, -2]]]], [[2, 3, 3, 3, 2], [v = -2^(1/
2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), And(u^2+x-1 < y,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], [0,
0], [-1417877/2097152, -354469/524288]]]], [[2, 3, 3, 3, 3], [v = -2^(1/2), 
And(v < u,u < -1), And(-1 < x,x < -u^2+1), And(u^2+x-1 < y,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], [0, 0], [0, 0]]]], [[2, 3, 3, 3, 4], [v = -2^(1/2), And(v <
u,u < -1), And(-1 < x,x < -u^2+1), And(u^2+x-1 < y,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], [0, 0], [354469/
524288, 708939/1048576]]]], [[2, 3, 3, 3, 5], [v = -2^(1/2), And(v < u,u < -1)
, And(-1 < x,x < -u^2+1), And(u^2+x-1 < y,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], [0, 0], [2, 2]]]], [[3
, 3, 2, 2, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -\
1, y = u^2-v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [-1196411/
2097152, -598205/1048576], [-2, -2]]]], [[3, 3, 2, 2, 2], [And(-2^(1/2) < v,v
< -1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, y = u^2-v^2, z = -(u^2-v^2+1)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304
, -3949363/4194304], [-1, -1], [-1196411/2097152, -598205/1048576], [-1374407/
2097152, -687203/1048576]]]], [[3, 3, 2, 2, 3], [And(-2^(1/2) < v,v < -1), And
(v < u,u < -(v^2-1)^(1/2)), x = -1, y = u^2-v^2, And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-3949363/4194304, -3949363/4194304], [-1, -1], [-1196411/2097152, -598205/
1048576], [0, 0]]]], [[3, 3, 2, 2, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u
< -(v^2-1)^(1/2)), x = -1, y = u^2-v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304],
[-1, -1], [-1196411/2097152, -598205/1048576], [687203/1048576, 171801/262144]
]]], [[3, 3, 2, 2, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)
), x = -1, y = u^2-v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [-\
1196411/2097152, -598205/1048576], [2, 2]]]], [[3, 6, 5, 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, 6, 5, 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, 6, 5, 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]]]], [[6, 1, 3, 5, 1], [v = 0, u < 0, And(-u^2-1 < x,x
< -1), u^2+x+1 < y, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-\
3/2, -3/2], [2, 2], [-3, -3]]]], [[6, 1, 3, 5, 2], [v = 0, u < 0, And(-u^2-1 <
x,x < -1), u^2+x+1 < y, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1]
, [-3/2, -3/2], [2, 2], [-1482911/1048576, -741455/524288]]]], [[6, 1, 3, 5, 3
], [v = 0, u < 0, And(-u^2-1 < x,x < -1), u^2+x+1 < y, And(-(u^2+1)^(1/2) < z,
z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [-3/2, -3/2], [2, 2],
[0, 0]]]], [[6, 1, 3, 5, 4], [v = 0, u < 0, And(-u^2-1 < x,x < -1), u^2+x+1 <
y, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-3/2, -3/2], [2, 2]
, [741455/524288, 1482911/1048576]]]], [[6, 1, 3, 5, 5], [v = 0, u < 0, And(-u
^2-1 < x,x < -1), u^2+x+1 < y, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-\
1, -1], [-3/2, -3/2], [2, 2], [3, 3]]]], [[7, 2, 1, 5, 1], [And(0 < v,v < 1),
u = -v, x < -1, -1-x < y, z < -1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2],
[-2, -2], [2, 2], [-2, -2]]]], [[7, 2, 1, 5, 2], [And(0 < v,v < 1), u = -v, x
< -1, -1-x < y, z = -1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2],
[2, 2], [-1, -1]]]], [[7, 2, 1, 5, 3], [And(0 < v,v < 1), u = -v, x < -1, -1-x
< y, And(-1 < z,z < 1)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2],
[2, 2], [0, 0]]]], [[7, 2, 1, 5, 4], [And(0 < v,v < 1), u = -v, x < -1, -1-x <
y, z = 1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [2, 2], [1, 1]
]]], [[7, 2, 1, 5, 5], [And(0 < v,v < 1), u = -v, x < -1, -1-x < y, 1 < z], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [2, 2], [2, 2]]]], [[9, 1,
3, 1, 1], [And(1 < v,v < 2^(1/2)), 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], [-3, -3], [-10006449/2097152, -10006449/2097152], [-5, -5], [-4, -4
]]]], [[9, 1, 3, 1, 2], [And(1 < v,v < 2^(1/2)), 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], [-3, -3], [-10006449/2097152, -10006449/2097152], [
-5, -5], [-1532401/524288, -24518415/8388608]]]], [[9, 1, 3, 1, 3], [And(1 < v
,v < 2^(1/2)), 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], [-3, -3], [-10006449/2097152, -10006449/2097152], [-5, -5],
[-7/16777216, -7/16777216]]]], [[9, 1, 3, 1, 4], [And(1 < v,v < 2^(1/2)), 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], [-3, -3], [-10006449/
2097152, -10006449/2097152], [-5, -5], [3064801/1048576, 1532401/524288]]]], [
[9, 1, 3, 1, 5], [And(1 < v,v < 2^(1/2)), 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], [-3, -3], [-10006449/2097152, -10006449/2097152], [-5, -5],
[4, 4]]]], [[9, 5, 1, 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+x+1, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-2, -2], [-4, -4], [0, 0]]]], [[10, 4, 2,
1, 1], [v = 2^(1/2), u = -1, x = -1, y < -1, z < 0], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [-1, -1], [-2, -2], [-1, -1]]]], [[10, 4,
2, 1, 2], [v = 2^(1/2), u = -1, x = -1, y < -1, z = 0], [regular_chain, [[
741455/524288, 1482911/1048576], [-1, -1], [-1, -1], [-2, -2], [0, 0]]]], [[10
, 4, 2, 1, 3], [v = 2^(1/2), u = -1, x = -1, y < -1, 0 < z], [regular_chain, [
[741455/524288, 1482911/1048576], [-1, -1], [-1, -1], [-2, -2], [1, 1]]]], [[
10, 7, 7, 3, 1], [v = 2^(1/2), And(0 < u,u < 1), 1 < x, And(-u^2-x+1 < y,y < u
^2+x-1), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2]
, [2, 2], [0, 0], [0, 0]]]], [[11, 7, 5, 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), -u^2+v^2-x-1 < y, z = z]
, [regular_chain, [[3, 3], [0, 0], [9/2, 9/2], [5, 5], [0, 0]]]], [[11, 11, 4,
2, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 0, z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-129143/262144, -516571/1048576], [0, 0], [-2, -2]]]], [[11, 11, 4,
2, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 0, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-129143/262144, -516571/1048576], [0, 0], [-735979/1048576, -\
1471957/2097152]]]], [[11, 11, 4, 2, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u
< v), x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))
], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-129143/
262144, -516571/1048576], [0, 0], [-1/4194304, -1/4194304]]]], [[11, 11, 4, 2,
4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 0, z = (u^
2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152],
[-129143/262144, -516571/1048576], [0, 0], [367989/524288, 735979/1048576]]]],
[[11, 11, 4, 2, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1
, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [-129143/262144, -516571/1048576], [0, 0], [2, 2]]]], [[1, 
12, 4, 5, 1], [v < -2^(1/2), u = -v, x = 1, 2 < y, z < -1], [regular_chain, [[
-3, -3], [3, 3], [1, 1], [3, 3], [-2, -2]]]], [[1, 12, 4, 5, 2], [v < -2^(1/2)
, u = -v, x = 1, 2 < y, z = -1], [regular_chain, [[-3, -3], [3, 3], [1, 1], [3
, 3], [-1, -1]]]], [[1, 12, 4, 5, 3], [v < -2^(1/2), u = -v, x = 1, 2 < y, And
(-1 < z,z < 1)], [regular_chain, [[-3, -3], [3, 3], [1, 1], [3, 3], [0, 0]]]],
[[1, 12, 4, 5, 4], [v < -2^(1/2), u = -v, x = 1, 2 < y, z = 1], [regular_chain
, [[-3, -3], [3, 3], [1, 1], [3, 3], [1, 1]]]], [[1, 12, 4, 5, 5], [v < -2^(1/
2), u = -v, x = 1, 2 < y, 1 < z], [regular_chain, [[-3, -3], [3, 3], [1, 1], [
3, 3], [2, 2]]]], [[2, 3, 4, 1, 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], [-1, -1], [-2, -2]]]], [[2, 3, 4, 1, 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], [-1, -1], [-1417877/2097152, -354469/524288]]]], [[2
, 3, 4, 1, 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], [-1, -1], [0, 0]]]], [[2, 3, 4, 1, 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], [-1, -1], [354469/524288, 708939/1048576]]]], [[2, 3, 4, 1, 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], [-1, -1], [2, 2]]]], [[3,
3, 3, 2, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-1
< x,x < -u^2+v^2-1), y = u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [
-1498947/2097152, -1498947/2097152], [-299103/1048576, -149551/524288], [-2, -\
2]]]], [[3, 3, 3, 2, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/
2)), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [-299103/1048576, -\
149551/524288], [-1374407/2097152, -687203/1048576]]]], [[3, 3, 3, 2, 3], [And
(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-\
1), y = u^2-v^2+x+1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [-299103/1048576, -\
149551/524288], [0, 0]]]], [[3, 3, 3, 2, 4], [And(-2^(1/2) < v,v < -1), And(v
< u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1, z = (u^2
-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/2097152], [-\
299103/1048576, -149551/524288], [687203/1048576, 171801/262144]]]], [[3, 3, 3
, 2, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,
x < -u^2+v^2-1), y = u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
1498947/2097152, -1498947/2097152], [-299103/1048576, -149551/524288], [2, 2]]
]], [[3, 6, 5, 5, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(0 < x,
x < 1), x < y, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[354469/524288, 708939/1048576], [1/2, 1/2], [2, 2], [-1, -1]]]], [[3, 6, 5, 5
, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(0 < x,x < 1), x < y, z
= 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [1/2, 1/2], [2, 2], [0, 0]]]], [[3, 6, 5, 5, 3], [And(-2^(1/2
) < v,v < -1), u = (v^2-1)^(1/2), And(0 < x,x < 1), x < y, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [1/2, 1/2], [2, 2], [1, 1]]]], [[6, 1, 5, 2, 1], [v = 0, u < 0, And(
-1 < x,x < 1), y = -u^2-x-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1
, -1], [0, 0], [-2, -2], [-3, -3]]]], [[6, 1, 5, 2, 2], [v = 0, u < 0, And(-1
< x,x < 1), y = -u^2-x-1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -\
1], [0, 0], [-2, -2], [-1482911/1048576, -741455/524288]]]], [[6, 1, 5, 2, 3],
[v = 0, u < 0, And(-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, -1], [0, 0], [-2, -2], [0, 0]]]],
[[6, 1, 5, 2, 4], [v = 0, u < 0, And(-1 < x,x < 1), y = -u^2-x-1, z = (u^2+1)^
(1/2)], [regular_chain, [[0, 0], [-1, -1], [0, 0], [-2, -2], [741455/524288, 
1482911/1048576]]]], [[6, 1, 5, 2, 5], [v = 0, u < 0, And(-1 < x,x < 1), y = -
u^2-x-1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [0, 0], [-2, -\
2], [3, 3]]]], [[7, 2, 2, 3, 1], [And(0 < v,v < 1), u = -v, x = -1, 0 < y, z <
-1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1, -1], [1, 1], [-2, -2]]]],
[[7, 2, 2, 3, 2], [And(0 < v,v < 1), u = -v, x = -1, 0 < y, z = -1], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1, -1], [1, 1], [-1, -1]]]], [[7,
2, 2, 3, 3], [And(0 < v,v < 1), u = -v, x = -1, 0 < y, And(-1 < z,z < 1)], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1, -1], [1, 1], [0, 0]]]], [[7, 2,
2, 3, 4], [And(0 < v,v < 1), u = -v, x = -1, 0 < y, z = 1], [regular_chain, [[
1/2, 1/2], [-1/2, -1/2], [-1, -1], [1, 1], [1, 1]]]], [[7, 2, 2, 3, 5], [And(0
< v,v < 1), u = -v, x = -1, 0 < y, 1 < z], [regular_chain, [[1/2, 1/2], [-1/2,
-1/2], [-1, -1], [1, 1], [2, 2]]]], [[9, 1, 4, 1, 1], [And(1 < v,v < 2^(1/2)),
u < -v, 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], [-9, -9], [-4, -4]]]],
[[9, 1, 4, 1, 2], [And(1 < v,v < 2^(1/2)), u < -v, 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], [-9, -9], [-1532401/524288, -24518415/8388608]]]], [[9, 1, 4, 1
, 3], [And(1 < v,v < 2^(1/2)), 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], [-3, -3], [-1, -1], [-9, -9], [-7/16777216, -7/16777216]]]], [[9, 1,
4, 1, 4], [And(1 < v,v < 2^(1/2)), u < -v, 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], [-9, -9], [3064801/1048576, 1532401/524288]]]], [[9, 1, 4, 1, 5], [And(1
< v,v < 2^(1/2)), u < -v, 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], [-9, -\
9], [4, 4]]]], [[9, 5, 1, 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+x+1, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [-2, -2], [-2576463/1048576, -\
1288231/524288], [0, 0]]]], [[10, 4, 1, 5, 1], [v = 2^(1/2), u = -1, x < -1, -
x < y, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-\
2, -2], [3, 3], [-1, -1]]]], [[10, 4, 1, 5, 2], [v = 2^(1/2), u = -1, x < -1,
-x < y, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [
-2, -2], [3, 3], [0, 0]]]], [[10, 4, 1, 5, 3], [v = 2^(1/2), u = -1, x < -1, -
x < y, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-\
2, -2], [3, 3], [1, 1]]]], [[10, 7, 6, 3, 1], [v = 2^(1/2), And(0 < u,u < 1),
x = 1, And(-u^2 < y,y < u^2), z = z], [regular_chain, [[741455/524288, 1482911
/1048576], [1/2, 1/2], [1, 1], [0, 0], [0, 0]]]], [[11, 7, 5, 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, 11, 2, 5, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x
= -1, -u^2+v^2 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549
/2097152, 6111549/2097152], [-1, -1], [2, 2], [-2, -2]]]], [[11, 11, 2, 5, 2],
[2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, -u^2+v^2 < y, z = -(u^2-v^
2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-1,
-1], [2, 2], [-735979/1048576, -1471957/2097152]]]], [[11, 11, 2, 5, 3], [2^(1
/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, -u^2+v^2 < y, 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], [2, 2], [-1/4194304, -1/4194304]]]], [[11, 11, 2,
5, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, -u^2+v^2 < y, z = (
u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152]
, [-1, -1], [2, 2], [367989/524288, 735979/1048576]]]], [[11, 11, 2, 5, 5], [2
^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, -u^2+v^2 < y, (u^2-v^2+1)^(1
/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-1, -1
], [2, 2], [2, 2]]]], [[1, 5, 1, 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+x+1, z = z], [regular_chain, [[-3, -3
], [-22960369/8388608, -22960369/8388608], [-2, -2], [-4, -4], [0, 0]]]], [[1,
8, 5, 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
]]]], [[2, 6, 4, 3, 1], [v = -2^(1/2), u = 0, x = 1, 0 < y, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [1, 1], [1, 1], [0
, 0]]]], [[2, 10, 2, 1, 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], [-1, -1], [-2, -2]]]], [[2, 10, 2, 1, 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], [-1, -1], [-1, -1]]]], [[
2, 10, 2, 1, 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], [-1, -1], [0, 0]]]], [[2, 10, 2, 1, 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], [-1, -1], [1, 1]]]], [[2, 10, 2,
1, 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],
[-1, -1], [2, 2]]]], [[4, 5, 6, 3, 1], [v = -1, And(0 < u,u < 1), x = 1, And(-
u^2-1 < y,y < u^2+1), z < -u], [regular_chain, [[-1, -1], [1/2, 1/2], [1, 1],
[0, 0], [-2, -2]]]], [[4, 5, 6, 3, 2], [v = -1, And(0 < u,u < 1), x = 1, And(-
u^2-1 < y,y < u^2+1), z = -u], [regular_chain, [[-1, -1], [1/2, 1/2], [1, 1],
[0, 0], [-1/2, -1/2]]]], [[4, 5, 6, 3, 3], [v = -1, And(0 < u,u < 1), x = 1, 
And(-u^2-1 < y,y < u^2+1), And(-u < z,z < u)], [regular_chain, [[-1, -1], [1/2
, 1/2], [1, 1], [0, 0], [0, 0]]]], [[4, 5, 6, 3, 4], [v = -1, And(0 < u,u < 1)
, x = 1, And(-u^2-1 < y,y < u^2+1), z = u], [regular_chain, [[-1, -1], [1/2, 1
/2], [1, 1], [0, 0], [1/2, 1/2]]]], [[4, 5, 6, 3, 5], [v = -1, And(0 < u,u < 1
), x = 1, And(-u^2-1 < y,y < u^2+1), u < z], [regular_chain, [[-1, -1], [1/2,
1/2], [1, 1], [0, 0], [2, 2]]]], [[5, 2, 4, 1, 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], [
-3, -3], [-2, -2]]]], [[5, 2, 4, 1, 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], [-3, -3], [-\
1, -1]]]], [[5, 2, 4, 1, 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], [-3, -3], [0
, 0]]]], [[5, 2, 4, 1, 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], [-3, -3], [1, 1]]]], [[5,
2, 4, 1, 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], [-3, -3], [2, 2]]]], [[7, 5, 7, 2, 1], [
And(0 < v,v < 1), v < u, 1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [2, 2], [2, 2], [-27/4, -27/4], [-4, -4]]]], [[7,
5, 7, 2, 2], [And(0 < v,v < 1), v < u, 1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+
1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [2, 2], [-27/4, -27/4], [-\
2285319/1048576, -1142659/524288]]]], [[7, 5, 7, 2, 3], [And(0 < v,v < 1), v <
u, 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], [2, 2], [2, 2], [-27/4, -27/4], [0, 0]]]], [[7,
5, 7, 2, 4], [And(0 < v,v < 1), v < u, 1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2+1
)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [2, 2], [-27/4, -27/4], [
1142659/524288, 2285319/1048576]]]], [[7, 5, 7, 2, 5], [And(0 < v,v < 1), v <
u, 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2
], [2, 2], [2, 2], [-27/4, -27/4], [4, 4]]]], [[8, 4, 4, 3, 1], [v = 1, u = 0,
x = 0, 0 < y, z < 0], [regular_chain, [[1, 1], [0, 0], [0, 0], [1, 1], [-1, -1
]]]], [[8, 4, 4, 3, 2], [v = 1, u = 0, x = 0, 0 < y, z = 0], [regular_chain, [
[1, 1], [0, 0], [0, 0], [1, 1], [0, 0]]]], [[8, 4, 4, 3, 3], [v = 1, u = 0, x
= 0, 0 < y, 0 < z], [regular_chain, [[1, 1], [0, 0], [0, 0], [1, 1], [1, 1]]]]
, [[10, 11, 5, 4, 1], [v = 2^(1/2), v < u, And(-1 < x,x < 1), y = u^2+x-1, z <
-(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [0
, 0], [8, 8], [-4, -4]]]], [[10, 11, 5, 4, 2], [v = 2^(1/2), v < u, And(-1 < x
,x < 1), y = u^2+x-1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [0, 0], [8, 8], [-2965821/1048576, -11863283/4194304
]]]], [[10, 11, 5, 4, 3], [v = 2^(1/2), v < u, And(-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], [0, 0], [8, 8], [-3/8388608, -3/8388608]]]], [[10, 
11, 5, 4, 4], [v = 2^(1/2), v < u, And(-1 < x,x < 1), y = u^2+x-1, z = (u^2-1)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [0, 0], [8
, 8], [741455/262144, 2965821/1048576]]]], [[10, 11, 5, 4, 5], [v = 2^(1/2), v
< u, And(-1 < x,x < 1), y = u^2+x-1, (u^2-1)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [0, 0], [8, 8], [4, 4]]]], [[11, 4, 2
, 5, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -1, 1 < y, z < 0], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1, -1], [2, 2
], [-1, -1]]]], [[11, 4, 2, 5, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -1, 1
< y, z = 0], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [
-1, -1], [2, 2], [0, 0]]]], [[11, 4, 2, 5, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2
), x = -1, 1 < y, 0 < z], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [-1, -1], [2, 2], [1, 1]]]], [[1, 12, 4, 4, 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, 12, 4, 4, 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, 12
, 4, 4, 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, 12, 4, 4, 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, 12, 4, 4, 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]]]],
[[2, 3, 3, 5, 1], [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), -u
^2-x+1 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/
2097152], [2, 2], [-2, -2]]]], [[2, 3, 3, 5, 2], [v = -2^(1/2), And(v < u,u <
-1), And(-1 < x,x < -u^2+1), -u^2-x+1 < y, z = -(u^2-1)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [
-1527887/2097152, -1527887/2097152], [2, 2], [-1417877/2097152, -354469/524288
]]]], [[2, 3, 3, 5, 3], [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+
1), -u^2-x+1 < y, 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], [2, 2], [0, 0]]]], [[2, 3, 3, 5, 4], [v =
-2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), -u^2-x+1 < y, z = (u^2-1)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [2, 2], [
354469/524288, 708939/1048576]]]], [[2, 3, 3, 5, 5], [v = -2^(1/2), And(v < u,
u < -1), And(-1 < x,x < -u^2+1), -u^2-x+1 < y, (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1527887/2097152, -1527887/2097152], [2, 2], [2, 2]]]], [[3
, 3, 3, 3, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-\
1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -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], [0, 0], [-2,
-2]]]], [[3, 3, 3, 3, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1
/2)), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -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], [0,
0], [-1374407/2097152, -687203/1048576]]]], [[3, 3, 3, 3, 3], [And(-2^(1/2) <
v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(u^2-
v^2+x+1 < y,y < -u^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], [0, 0], [0, 0]]]], [[
3, 3, 3, 3, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(
-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -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], [0, 0], [
687203/1048576, 171801/262144]]]], [[3, 3, 3, 3, 5], [And(-2^(1/2) < v,v < -1)
, And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 <
y,y < -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], [0, 0], [2, 2]]]], [[3, 6, 6, 1, 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], [
-2, -2], [-1, -1]]]], [[3, 6, 6, 1, 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], [-2, -2], [0, 0]]]], [[3, 6
, 6, 1, 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], [-2, -2], [1, 1]]]], [[6, 1, 5, 1, 1], [v = 0, u < 0,
And(-1 < x,x < 1), y < -u^2-x-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0],
[-1, -1], [0, 0], [-3, -3], [-3, -3]]]], [[6, 1, 5, 1, 2], [v = 0, u < 0, And(
-1 < x,x < 1), y < -u^2-x-1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1
, -1], [0, 0], [-3, -3], [-1482911/1048576, -741455/524288]]]], [[6, 1, 5, 1,
3], [v = 0, u < 0, And(-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, -1], [0, 0], [-3, -3], [0, 0]]]
], [[6, 1, 5, 1, 4], [v = 0, u < 0, And(-1 < x,x < 1), y < -u^2-x-1, z = (u^2+
1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [0, 0], [-3, -3], [741455/524288
, 1482911/1048576]]]], [[6, 1, 5, 1, 5], [v = 0, u < 0, And(-1 < x,x < 1), y <
-u^2-x-1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [0, 0], [-3,
-3], [3, 3]]]], [[7, 2, 2, 2, 1], [And(0 < v,v < 1), u = -v, x = -1, y = 0, z
< -1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1, -1], [0, 0], [-2, -2]]]
], [[7, 2, 2, 2, 2], [And(0 < v,v < 1), u = -v, x = -1, y = 0, z = -1], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1, -1], [0, 0], [-1, -1]]]], [[7,
2, 2, 2, 3], [And(0 < v,v < 1), u = -v, x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1, -1], [0, 0], [0, 0]]]], [[7, 2,
2, 2, 4], [And(0 < v,v < 1), u = -v, x = -1, y = 0, z = 1], [regular_chain, [[
1/2, 1/2], [-1/2, -1/2], [-1, -1], [0, 0], [1, 1]]]], [[7, 2, 2, 2, 5], [And(0
< v,v < 1), u = -v, x = -1, y = 0, 1 < z], [regular_chain, [[1/2, 1/2], [-1/2,
-1/2], [-1, -1], [0, 0], [2, 2]]]], [[9, 1, 4, 2, 1], [And(1 < v,v < 2^(1/2)),
u < -v, x = -1, y = -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [-15818595/2097152, -\
7909297/1048576], [-4, -4]]]], [[9, 1, 4, 2, 2], [And(1 < v,v < 2^(1/2)), u <
-v, x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [-1, -1], [-15818595/2097152, -7909297/
1048576], [-1532401/524288, -24518415/8388608]]]], [[9, 1, 4, 2, 3], [And(1 <
v,v < 2^(1/2)), u < -v, x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (
u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3,
-3], [-1, -1], [-15818595/2097152, -7909297/1048576], [-7/16777216, -7/
16777216]]]], [[9, 1, 4, 2, 4], [And(1 < v,v < 2^(1/2)), u < -v, x = -1, y = -
u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-1, -1], [-15818595/2097152, -7909297/1048576], [3064801/
1048576, 1532401/524288]]]], [[9, 1, 4, 2, 5], [And(1 < v,v < 2^(1/2)), u < -v
, x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [-1, -1], [-15818595/2097152, -7909297/
1048576], [4, 4]]]], [[9, 5, 1, 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+x+1 < y,y < -u^2+v^2-x-1), z
= z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-2, -2], [
0, 0], [0, 0]]]], [[10, 4, 1, 4, 1], [v = 2^(1/2), u = -1, x < -1, y = -x, z <
0], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-2, -2], [2,
2], [-1, -1]]]], [[10, 4, 1, 4, 2], [v = 2^(1/2), u = -1, x < -1, y = -x, z =
0], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-2, -2], [2,
2], [0, 0]]]], [[10, 4, 1, 4, 3], [v = 2^(1/2), u = -1, x < -1, y = -x, 0 < z]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-2, -2], [2, 2
], [1, 1]]]], [[10, 7, 6, 2, 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]]]], [[11, 7, 5, 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 <
-u^2+v^2-x-1), z = z], [regular_chain, [[3, 3], [0, 0], [9/2, 9/2], [0, 0], [0
, 0]]]], [[11, 11, 3, 1, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-\
1 < x,x < -u^2+v^2-1), y < u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-391287/524288, -\
391287/524288], [-2, -2], [-2, -2]]]], [[11, 11, 3, 1, 2], [2^(1/2) < v, And((
v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2+x+1, z = -(u^
2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152],
[-391287/524288, -391287/524288], [-2, -2], [-735979/1048576, -1471957/2097152
]]]], [[11, 11, 3, 1, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-1 <
x,x < -u^2+v^2-1), y < u^2-v^2+x+1, And(-(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], [-2, -2], [-1/4194304, -1/4194304]]]], [[11, 
11, 3, 1, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+
v^2-1), y < u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [-2, -2],
[367989/524288, 735979/1048576]]]], [[11, 11, 3, 1, 5], [2^(1/2) < v, And((v^2
-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2+x+1, (u^2-v^2+1)
^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-\
391287/524288, -391287/524288], [-2, -2], [2, 2]]]], [[1, 4, 7, 5, 1], [v < -2
^(1/2), u = -(v^2-1)^(1/2), 1 < x, x < y, z < 0], [regular_chain, [[-3, -3], [
-2965821/1048576, -11863283/4194304], [2, 2], [3, 3], [-1, -1]]]], [[1, 4, 7,
5, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), 1 < x, x < y, z = 0], [regular_chain
, [[-3, -3], [-2965821/1048576, -11863283/4194304], [2, 2], [3, 3], [0, 0]]]],
[[1, 4, 7, 5, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), 1 < x, x < y, 0 < z], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [2, 2], [3, 3
], [1, 1]]]], [[1, 8, 5, 3, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), 1 < x, And(-
x+1 < y,y < x-1), z = z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/
4096], [2, 2], [0, 0], [0, 0]]]], [[2, 6, 5, 1, 1], [v = -2^(1/2), u = 0, 1 <
x, y < -x+1, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [0,
0], [2, 2], [-2, -2], [0, 0]]]], [[2, 10, 2, 2, 1], [v = -2^(1/2), u = -v, x =
-1, y = 0, z < -1], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [-1, -1], [0, 0], [-2, -2]]]], [[2, 10, 2, 2,
2], [v = -2^(1/2), u = -v, x = -1, y = 0, z = -1], [regular_chain, [[-1482911/
1048576, -741455/524288], [741455/524288, 1482911/1048576], [-1, -1], [0, 0],
[-1, -1]]]], [[2, 10, 2, 2, 3], [v = -2^(1/2), u = -v, x = -1, y = 0, And(-1 <
z,z < 1)], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288
, 1482911/1048576], [-1, -1], [0, 0], [0, 0]]]], [[2, 10, 2, 2, 4], [v = -2^(1
/2), u = -v, x = -1, y = 0, z = 1], [regular_chain, [[-1482911/1048576, -\
741455/524288], [741455/524288, 1482911/1048576], [-1, -1], [0, 0], [1, 1]]]],
[[2, 10, 2, 2, 5], [v = -2^(1/2), u = -v, x = -1, y = 0, 1 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-1, -1], [0, 0], [2, 2]]]], [[4, 5, 6, 2, 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, 5, 6, 2, 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, 5, 6, 2, 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, 5, 6, 2, 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, 5, 6, 2, 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]]]]
, [[5, 2, 3, 5, 1], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 1), x+1 < y, z <
-1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [2, 2], [-2, -2]]]],
[[5, 2, 3, 5, 2], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 1), x+1 < y, z = -\
1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [2, 2], [-1, -1]]]],
[[5, 2, 3, 5, 3], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 1), x+1 < y, And(-\
1 < z,z < 1)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [2, 2], [0
, 0]]]], [[5, 2, 3, 5, 4], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 1), x+1 <
y, z = 1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [2, 2], [1, 1]
]]], [[5, 2, 3, 5, 5], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 1), x+1 < y,
1 < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [2, 2], [2, 2]]]]
, [[7, 5, 7, 3, 1], [And(0 < v,v < 1), v < u, 1 < x, And(-u^2+v^2-x-1 < y,y <
u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [2
, 2], [0, 0], [-4, -4]]]], [[7, 5, 7, 3, 2], [And(0 < v,v < 1), v < u, 1 < x,
And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [regular_chain
, [[1/2, 1/2], [2, 2], [2, 2], [0, 0], [-2285319/1048576, -1142659/524288]]]],
[[7, 5, 7, 3, 3], [And(0 < v,v < 1), v < u, 1 < x, And(-u^2+v^2-x-1 < y,y < u^
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], [2, 2], [2, 2], [0, 0], [0, 0]]]], [[7, 5, 7, 3, 4], [And(0 < v
,v < 1), v < u, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2-v^2+1)^
(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [2, 2], [0, 0], [1142659/524288,
2285319/1048576]]]], [[7, 5, 7, 3, 5], [And(0 < v,v < 1), v < u, 1 < x, And(-u
^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2
, 1/2], [2, 2], [2, 2], [0, 0], [4, 4]]]], [[8, 4, 5, 1, 1], [v = 1, u = 0, 
And(0 < x,x < 1), y < -x, z < 0], [regular_chain, [[1, 1], [0, 0], [1/2, 1/2],
[-2, -2], [-1, -1]]]], [[8, 4, 5, 1, 2], [v = 1, u = 0, And(0 < x,x < 1), y <
-x, z = 0], [regular_chain, [[1, 1], [0, 0], [1/2, 1/2], [-2, -2], [0, 0]]]],
[[8, 4, 5, 1, 3], [v = 1, u = 0, And(0 < x,x < 1), y < -x, 0 < z], [
regular_chain, [[1, 1], [0, 0], [1/2, 1/2], [-2, -2], [1, 1]]]], [[10, 11, 5,
3, 1], [v = 2^(1/2), v < u, And(-1 < x,x < 1), And(-u^2-x+1 < y,y < u^2+x-1),
z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3]
, [0, 0], [0, 0], [-4, -4]]]], [[10, 11, 5, 3, 2], [v = 2^(1/2), v < u, And(-1
< x,x < 1), And(-u^2-x+1 < y,y < u^2+x-1), z = -(u^2-1)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [3, 3], [0, 0], [0, 0], [-2965821/1048576
, -11863283/4194304]]]], [[10, 11, 5, 3, 3], [v = 2^(1/2), v < u, And(-1 < x,x
< 1), And(-u^2-x+1 < y,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], [0, 0], [0, 0],
[-3/8388608, -3/8388608]]]], [[10, 11, 5, 3, 4], [v = 2^(1/2), v < u, And(-1 <
x,x < 1), And(-u^2-x+1 < y,y < u^2+x-1), z = (u^2-1)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [3, 3], [0, 0], [0, 0], [741455/262144, 
2965821/1048576]]]], [[10, 11, 5, 3, 5], [v = 2^(1/2), v < u, And(-1 < x,x < 1
), And(-u^2-x+1 < y,y < u^2+x-1), (u^2-1)^(1/2) < z], [regular_chain, [[741455
/524288, 1482911/1048576], [3, 3], [0, 0], [0, 0], [4, 4]]]], [[11, 4, 2, 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, 4, 2, 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, 4, 2, 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]]]], [[1, 12, 4, 3, 1], [v < -2^(1/2), u = -v, x = 1, And
(-2 < y,y < 2), z < -1], [regular_chain, [[-3, -3], [3, 3], [1, 1], [0, 0], [-\
2, -2]]]], [[1, 12, 4, 3, 2], [v < -2^(1/2), u = -v, x = 1, And(-2 < y,y < 2),
z = -1], [regular_chain, [[-3, -3], [3, 3], [1, 1], [0, 0], [-1, -1]]]], [[1,
12, 4, 3, 3], [v < -2^(1/2), u = -v, x = 1, And(-2 < y,y < 2), And(-1 < z,z <
1)], [regular_chain, [[-3, -3], [3, 3], [1, 1], [0, 0], [0, 0]]]], [[1, 12, 4,
3, 4], [v < -2^(1/2), u = -v, x = 1, And(-2 < y,y < 2), z = 1], [regular_chain
, [[-3, -3], [3, 3], [1, 1], [0, 0], [1, 1]]]], [[1, 12, 4, 3, 5], [v < -2^(1/
2), u = -v, x = 1, And(-2 < y,y < 2), 1 < z], [regular_chain, [[-3, -3], [3, 3
], [1, 1], [0, 0], [2, 2]]]], [[2, 3, 4, 3, 1], [v = -2^(1/2), And(v < u,u < -\
1), x = -u^2+1, 0 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1265743/1048576, -1265743/1048576], [-479311/1048576, -\
239655/524288], [1, 1], [-2, -2]]]], [[2, 3, 4, 3, 2], [v = -2^(1/2), And(v <
u,u < -1), x = -u^2+1, 0 < y, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-479311/
1048576, -239655/524288], [1, 1], [-1417877/2097152, -354469/524288]]]], [[2,
3, 4, 3, 3], [v = -2^(1/2), And(v < u,u < -1), x = -u^2+1, 0 < y, 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], [1, 1], [0, 0]]]], [[2, 3, 4, 3, 4], [v = -2^(1/2), And(v < u,u < -1)
, x = -u^2+1, 0 < y, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [-479311/1048576, -\
239655/524288], [1, 1], [354469/524288, 708939/1048576]]]], [[2, 3, 4, 3, 5],
[v = -2^(1/2), And(v < u,u < -1), x = -u^2+1, 0 < y, (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-479311/1048576, -239655/524288], [1, 1], [2, 2]]]], [[3, 3
, 2, 5, 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 < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [2, 2], [-2,
-2]]]], [[3, 3, 2, 5, 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 = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1,
-1], [2, 2], [-1374407/2097152, -687203/1048576]]]], [[3, 3, 2, 5, 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(-
(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], [2
, 2], [0, 0]]]], [[3, 3, 2, 5, 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 = (u^2-v^2+1)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
1, -1], [2, 2], [687203/1048576, 171801/262144]]]], [[3, 3, 2, 5, 5], [And(-2^
(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, -u^2+v^2 < y, (u^2-v
^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1, -1], [2, 2], [2, 2]]]], [[3, 6, 6, 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, 6, 6, 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, 6, 6, 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]]]], [[6, 1, 4, 5, 1],
[v = 0, u < 0, x = -1, u^2 < y, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0],
[-1, -1], [-1, -1], [2, 2], [-3, -3]]]], [[6, 1, 4, 5, 2], [v = 0, u < 0, x =
-1, u^2 < y, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-1, -1],
[2, 2], [-1482911/1048576, -741455/524288]]]], [[6, 1, 4, 5, 3], [v = 0, u < 0
, x = -1, u^2 < y, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain,
[[0, 0], [-1, -1], [-1, -1], [2, 2], [0, 0]]]], [[6, 1, 4, 5, 4], [v = 0, u <
0, x = -1, u^2 < y, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-1
, -1], [2, 2], [741455/524288, 1482911/1048576]]]], [[6, 1, 4, 5, 5], [v = 0,
u < 0, x = -1, u^2 < y, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1],
[-1, -1], [2, 2], [3, 3]]]], [[7, 2, 3, 2, 1], [And(0 < v,v < 1), u = -v, And(
-1 < x,x < 1), y = -1-x, z < -1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [
0, 0], [-1, -1], [-2, -2]]]], [[7, 2, 3, 2, 2], [And(0 < v,v < 1), u = -v, And
(-1 < x,x < 1), y = -1-x, z = -1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2],
[0, 0], [-1, -1], [-1, -1]]]], [[7, 2, 3, 2, 3], [And(0 < v,v < 1), u = -v, 
And(-1 < x,x < 1), y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[1/2, 1/2],
[-1/2, -1/2], [0, 0], [-1, -1], [0, 0]]]], [[7, 2, 3, 2, 4], [And(0 < v,v < 1)
, u = -v, And(-1 < x,x < 1), y = -1-x, z = 1], [regular_chain, [[1/2, 1/2], [-\
1/2, -1/2], [0, 0], [-1, -1], [1, 1]]]], [[7, 2, 3, 2, 5], [And(0 < v,v < 1),
u = -v, And(-1 < x,x < 1), y = -1-x, 1 < z], [regular_chain, [[1/2, 1/2], [-1/
2, -1/2], [0, 0], [-1, -1], [2, 2]]]], [[9, 1, 3, 4, 1], [And(1 < v,v < 2^(1/2
)), 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], [-3, -3], [-10006449/
2097152, -10006449/2097152], [494331/131072, 3954649/1048576], [-4, -4]]]], [[
9, 1, 3, 4, 2], [And(1 < v,v < 2^(1/2)), 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], [-3, -3], [-10006449/2097152, -10006449/2097152], [494331/
131072, 3954649/1048576], [-1532401/524288, -24518415/8388608]]]], [[9, 1, 3,
4, 3], [And(1 < v,v < 2^(1/2)), 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], [-3, -3], [-10006449/2097152, -10006449/
2097152], [494331/131072, 3954649/1048576], [-7/16777216, -7/16777216]]]], [[9
, 1, 3, 4, 4], [And(1 < v,v < 2^(1/2)), 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], [-3, -3], [-10006449/2097152, -10006449/2097152], [494331/
131072, 3954649/1048576], [3064801/1048576, 1532401/524288]]]], [[9, 1, 3, 4,
5], [And(1 < v,v < 2^(1/2)), 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
], [-3, -3], [-10006449/2097152, -10006449/2097152], [494331/131072, 3954649/
1048576], [4, 4]]]], [[9, 5, 1, 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-x-1, z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [0, 0], [-2, -2], [1288231/524288, 
2576463/1048576], [0, 0]]]], [[10, 4, 1, 3, 1], [v = 2^(1/2), u = -1, x < -1,
And(x < y,y < -x), z < 0], [regular_chain, [[741455/524288, 1482911/1048576],
[-1, -1], [-2, -2], [0, 0], [-1, -1]]]], [[10, 4, 1, 3, 2], [v = 2^(1/2), u =
-1, x < -1, And(x < y,y < -x), z = 0], [regular_chain, [[741455/524288, 
1482911/1048576], [-1, -1], [-2, -2], [0, 0], [0, 0]]]], [[10, 4, 1, 3, 3], [v
= 2^(1/2), u = -1, x < -1, And(x < y,y < -x), 0 < z], [regular_chain, [[741455
/524288, 1482911/1048576], [-1, -1], [-2, -2], [0, 0], [1, 1]]]], [[10, 7, 6,
5, 1], [v = 2^(1/2), And(0 < u,u < 1), x = 1, u^2 < y, z = z], [regular_chain,
[[741455/524288, 1482911/1048576], [1/2, 1/2], [1, 1], [2, 2], [0, 0]]]], [[11
, 7, 4, 5, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 1,
-u^2+v^2-2 < y, z = z], [regular_chain, [[3, 3], [0, 0], [1, 1], [8, 8], [0, 0
]]]], [[11, 11, 3, 2, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-1 <
x,x < -u^2+v^2-1), y = u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [
[3, 3], [6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288],
[-266003/1048576, -133001/524288], [-2, -2]]]], [[11, 11, 3, 2, 2], [2^(1/2) <
v, And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1,
z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-391287/524288, -391287/524288], [-266003/1048576, -133001/524288],
[-735979/1048576, -1471957/2097152]]]], [[11, 11, 3, 2, 3], [2^(1/2) < v, And(
(v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1, And(-(u
^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [6111549
/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [-266003/1048576
, -133001/524288], [-1/4194304, -1/4194304]]]], [[11, 11, 3, 2, 4], [2^(1/2) <
v, And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1,
z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-391287/524288, -391287/524288], [-266003/1048576, -133001/524288],
[367989/524288, 735979/1048576]]]], [[11, 11, 3, 2, 5], [2^(1/2) < v, And((v^2
-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2+x+1, (u^2-v^2+1)
^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-\
391287/524288, -391287/524288], [-266003/1048576, -133001/524288], [2, 2]]]],
[[1, 4, 7, 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, 4, 7, 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, 4, 7, 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, 9, 1, 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+x+1, z = z], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-2, -2], [-4, -4]
, [0, 0]]]], [[2, 6, 4, 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, 10, 2, 3, 1], [v = -2^(1/2), u = -v, x = -1, 0 < y, z < -1], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-1, -1], [1, 1], [-2, -2]]]], [[2, 10, 2, 3, 2], [v = -2^(1/2), u =
-v, x = -1, 0 < y, z = -1], [regular_chain, [[-1482911/1048576, -741455/524288
], [741455/524288, 1482911/1048576], [-1, -1], [1, 1], [-1, -1]]]], [[2, 10, 2
, 3, 3], [v = -2^(1/2), u = -v, x = -1, 0 < y, And(-1 < z,z < 1)], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-1, -1], [1, 1], [0, 0]]]], [[2, 10, 2, 3, 4], [v = -2^(1/2), u = -
v, x = -1, 0 < y, z = 1], [regular_chain, [[-1482911/1048576, -741455/524288],
[741455/524288, 1482911/1048576], [-1, -1], [1, 1], [1, 1]]]], [[2, 10, 2, 3,
5], [v = -2^(1/2), u = -v, x = -1, 0 < y, 1 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [741455/524288, 1482911/1048576], [-1, -1], [1, 1],
[2, 2]]]], [[4, 5, 6, 1, 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, -3], [-2, -2]]]], [[4
, 5, 6, 1, 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, -3], [-1/2, -1/2]]]], [[4,
5, 6, 1, 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, -3], [0, 0]]]], [[4, 5, 6,
1, 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, -3], [1/2, 1/2]]]], [[4, 5, 6, 1, 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, -3], [2, 2]]]], [[5, 2, 4, 3, 1], [And(-1 < v,v < 0), u
= v, x = 1, And(-2 < y,y < 2), z < -1], [regular_chain, [[-1/2, -1/2], [-1/2,
-1/2], [1, 1], [0, 0], [-2, -2]]]], [[5, 2, 4, 3, 2], [And(-1 < v,v < 0), u =
v, x = 1, And(-2 < y,y < 2), z = -1], [regular_chain, [[-1/2, -1/2], [-1/2, -1
/2], [1, 1], [0, 0], [-1, -1]]]], [[5, 2, 4, 3, 3], [And(-1 < v,v < 0), u = v,
x = 1, And(-2 < y,y < 2), And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/2], [
-1/2, -1/2], [1, 1], [0, 0], [0, 0]]]], [[5, 2, 4, 3, 4], [And(-1 < v,v < 0),
u = v, x = 1, And(-2 < y,y < 2), z = 1], [regular_chain, [[-1/2, -1/2], [-1/2,
-1/2], [1, 1], [0, 0], [1, 1]]]], [[5, 2, 4, 3, 5], [And(-1 < v,v < 0), u = v,
x = 1, And(-2 < y,y < 2), 1 < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2],
[1, 1], [0, 0], [2, 2]]]], [[7, 5, 6, 5, 1], [And(0 < v,v < 1), v < u, x = 1,
u^2-v^2+2 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [
1, 1], [7, 7], [-4, -4]]]], [[7, 5, 6, 5, 2], [And(0 < v,v < 1), v < u, x = 1,
u^2-v^2+2 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [
1, 1], [7, 7], [-2285319/1048576, -1142659/524288]]]], [[7, 5, 6, 5, 3], [And(
0 < v,v < 1), v < u, x = 1, u^2-v^2+2 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2
-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [2, 2], [1, 1], [7, 7], [0, 0]]]
], [[7, 5, 6, 5, 4], [And(0 < v,v < 1), v < u, x = 1, u^2-v^2+2 < y, z = (u^2-
v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [1, 1], [7, 7], [1142659/
524288, 2285319/1048576]]]], [[7, 5, 6, 5, 5], [And(0 < v,v < 1), v < u, x = 1
, u^2-v^2+2 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [2, 2],
[1, 1], [7, 7], [4, 4]]]], [[8, 4, 5, 2, 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, 4, 5, 2, 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, 4, 5
, 2, 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]]]], [[10, 11, 5, 2, 1], [v = 2^(1
/2), v < u, And(-1 < x,x < 1), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [0, 0], [-8, -8], [-\
4, -4]]]], [[10, 11, 5, 2, 2], [v = 2^(1/2), v < u, And(-1 < x,x < 1), y = -u^
2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[3, 3], [0, 0], [-8, -8], [-2965821/1048576, -11863283/4194304]]]], [[10, 11,
5, 2, 3], [v = 2^(1/2), v < u, And(-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], [0, 0], [-8, -8], [-3/8388608, -3/8388608]]]], [[10, 11, 5, 2, 4],
[v = 2^(1/2), v < u, And(-1 < x,x < 1), y = -u^2-x+1, z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [0, 0], [-8, -8], [
741455/262144, 2965821/1048576]]]], [[10, 11, 5, 2, 5], [v = 2^(1/2), v < u, 
And(-1 < x,x < 1), y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [0, 0], [-8, -8], [4, 4]]]], [[11, 4, 3, 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, 4, 3, 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, 4, 3, 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]]]], [[1, 12, 4, 2, 1], [v < -2^(1/2), u = -v, x = 1, y = -\
2, z < -1], [regular_chain, [[-3, -3], [3, 3], [1, 1], [-2, -2], [-2, -2]]]],
[[1, 12, 4, 2, 2], [v < -2^(1/2), u = -v, x = 1, y = -2, z = -1], [
regular_chain, [[-3, -3], [3, 3], [1, 1], [-2, -2], [-1, -1]]]], [[1, 12, 4, 2
, 3], [v < -2^(1/2), u = -v, x = 1, y = -2, And(-1 < z,z < 1)], [regular_chain
, [[-3, -3], [3, 3], [1, 1], [-2, -2], [0, 0]]]], [[1, 12, 4, 2, 4], [v < -2^(
1/2), u = -v, x = 1, y = -2, z = 1], [regular_chain, [[-3, -3], [3, 3], [1, 1]
, [-2, -2], [1, 1]]]], [[1, 12, 4, 2, 5], [v < -2^(1/2), u = -v, x = 1, y = -2
, 1 < z], [regular_chain, [[-3, -3], [3, 3], [1, 1], [-2, -2], [2, 2]]]], [[2,
3, 4, 2, 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, 3, 4, 2, 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, 3, 4, 2, 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, 3
, 4, 2, 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, 3, 4, 2, 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]]]], [[3, 3, 3, 1, 1], [And(-2^(1/2) < v,v < -1), And(v
< u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2+x+1, z < -(u^
2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/2097152], [-2,
-2], [-2, -2]]]], [[3, 3, 3, 1, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -
(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2+x+1, z = -(u^2-v^2+1)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-1498947/2097152, -1498947/2097152], [-2, -2], [-\
1374407/2097152, -687203/1048576]]]], [[3, 3, 3, 1, 3], [And(-2^(1/2) < v,v <
-1), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2+x+
1, And(-(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], [-2, -2], [0, 0]]]], [[3, 3, 3, 1, 4], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v
^2-1), y < u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/
2097152, -1498947/2097152], [-2, -2], [687203/1048576, 171801/262144]]]], [[3,
3, 3, 1, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-1
< x,x < -u^2+v^2-1), y < u^2-v^2+x+1, (u^2-v^2+1)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [
-1498947/2097152, -1498947/2097152], [-2, -2], [2, 2]]]], [[3, 6, 6, 3, 1], [
And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 1, And(-1 < y,y < 1), z < 0],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [1, 1], [0, 0], [-1, -1]]]], [[3, 6, 6, 3, 2], [And(-2^(1/2) < v,v <
-1), u = (v^2-1)^(1/2), x = 1, And(-1 < y,y < 1), z = 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [1, 1], [
0, 0], [0, 0]]]], [[3, 6, 6, 3, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/
2), x = 1, And(-1 < y,y < 1), 0 < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [1, 1], [0, 0], [1, 1]]]],
[[6, 1, 4, 4, 1], [v = 0, u < 0, x = -1, y = u^2, z < -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-1, -1], [1, 1], [-3, -3]]]], [[6, 1, 4, 4,
2], [v = 0, u < 0, x = -1, y = u^2, z = -(u^2+1)^(1/2)], [regular_chain, [[0,
0], [-1, -1], [-1, -1], [1, 1], [-1482911/1048576, -741455/524288]]]], [[6, 1,
4, 4, 3], [v = 0, 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, -1], [-1, -1], [1, 1], [0, 0]]]], [[6, 1
, 4, 4, 4], [v = 0, u < 0, x = -1, y = u^2, z = (u^2+1)^(1/2)], [regular_chain
, [[0, 0], [-1, -1], [-1, -1], [1, 1], [741455/524288, 1482911/1048576]]]], [[
6, 1, 4, 4, 5], [v = 0, u < 0, x = -1, y = u^2, (u^2+1)^(1/2) < z], [
regular_chain, [[0, 0], [-1, -1], [-1, -1], [1, 1], [3, 3]]]], [[7, 2, 3, 1, 1
], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 1), y < -1-x, z < -1], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [0, 0], [-2, -2], [-2, -2]]]], [[7,
2, 3, 1, 2], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 1), y < -1-x, z = -1],
[regular_chain, [[1/2, 1/2], [-1/2, -1/2], [0, 0], [-2, -2], [-1, -1]]]], [[7,
2, 3, 1, 3], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 1), y < -1-x, And(-1 <
z,z < 1)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [0, 0], [-2, -2], [0, 0]
]]], [[7, 2, 3, 1, 4], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 1), y < -1-x,
z = 1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [0, 0], [-2, -2], [1, 1]]]]
, [[7, 2, 3, 1, 5], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 1), y < -1-x, 1
< z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [0, 0], [-2, -2], [2, 2]]]],
[[9, 1, 3, 5, 1], [And(1 < v,v < 2^(1/2)), u < -v, And(-u^2+v^2-1 < x,x < -1),
u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [5, 5], [-\
4, -4]]]], [[9, 1, 3, 5, 2], [And(1 < v,v < 2^(1/2)), u < -v, And(-u^2+v^2-1 <
x,x < -1), u^2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152],
[5, 5], [-1532401/524288, -24518415/8388608]]]], [[9, 1, 3, 5, 3], [And(1 < v,
v < 2^(1/2)), u < -v, And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, 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], [5, 5], [-\
7/16777216, -7/16777216]]]], [[9, 1, 3, 5, 4], [And(1 < v,v < 2^(1/2)), u < -v
, And(-u^2+v^2-1 < x,x < -1), u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10006449/
2097152, -10006449/2097152], [5, 5], [3064801/1048576, 1532401/524288]]]], [[9
, 1, 3, 5, 5], [And(1 < v,v < 2^(1/2)), u < -v, And(-u^2+v^2-1 < x,x < -1), u^
2-v^2+x+1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [5, 5], [4
, 4]]]], [[9, 5, 1, 5, 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-x-1 < y, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-2, -2], [4, 4], [0, 0]]]], [[10, 4, 1, 2,
1], [v = 2^(1/2), u = -1, x < -1, y = x, z < 0], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [-2, -2], [-2, -2], [-1, -1]]]], [[10, 4,
1, 2, 2], [v = 2^(1/2), u = -1, x < -1, y = x, z = 0], [regular_chain, [[
741455/524288, 1482911/1048576], [-1, -1], [-2, -2], [-2, -2], [0, 0]]]], [[10
, 4, 1, 2, 3], [v = 2^(1/2), u = -1, x < -1, y = x, 0 < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1, -1], [-2, -2], [-2, -2], [1, 1]]]], [[10
, 7, 6, 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]]]], [[11, 7, 5, 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, 11, 3,
3, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1),
And(u^2-v^2+x+1 < y,y < -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
], [0, 0], [-2, -2]]]], [[11, 11, 3, 3, 2], [2^(1/2) < v, And((v^2-1)^(1/2) <
u,u < v), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -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], [0, 0], [-735979/1048576, -1471957
/2097152]]]], [[11, 11, 3, 3, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v),
And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -u^2+v^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], [0, 0], [-1/
4194304, -1/4194304]]]], [[11, 11, 3, 3, 4], [2^(1/2) < v, And((v^2-1)^(1/2) <
u,u < v), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -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], [0, 0], [367989/524288, 735979/
1048576]]]], [[11, 11, 3, 3, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 
And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -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], [0, 0], [2, 2]]]], [[1, 4, 7, 3, 1], [v < -2^(
1/2), u = -(v^2-1)^(1/2), 1 < x, And(-x < y,y < x), z < 0], [regular_chain, [[
-3, -3], [-2965821/1048576, -11863283/4194304], [2, 2], [0, 0], [-1, -1]]]], [
[1, 4, 7, 3, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), 1 < x, And(-x < y,y < x),
z = 0], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [2,
2], [0, 0], [0, 0]]]], [[1, 4, 7, 3, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), 1
< x, And(-x < y,y < x), 0 < z], [regular_chain, [[-3, -3], [-2965821/1048576,
-11863283/4194304], [2, 2], [0, 0], [1, 1]]]], [[1, 8, 5, 5, 1], [v < -2^(1/2)
, u = (v^2-2)^(1/2), 1 < x, x-1 < y, z = z], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [2, 2], [2, 2], [0, 0]]]], [[2, 6, 4, 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, 10, 3, 1, 1], [v = -2^
(1/2), u = -v, And(-1 < x,x < 1), y < -1-x, z < -1], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [0, 0], [-\
2, -2], [-2, -2]]]], [[2, 10, 3, 1, 2], [v = -2^(1/2), u = -v, And(-1 < x,x <
1), y < -1-x, z = -1], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [0, 0], [-2, -2], [-1, -1]]]], [[2, 10, 3, 1,
3], [v = -2^(1/2), u = -v, And(-1 < x,x < 1), y < -1-x, And(-1 < z,z < 1)], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [0, 0], [-2, -2], [0, 0]]]], [[2, 10, 3, 1, 4], [v = -2^(1/2), u = -
v, And(-1 < x,x < 1), y < -1-x, z = 1], [regular_chain, [[-1482911/1048576, -\
741455/524288], [741455/524288, 1482911/1048576], [0, 0], [-2, -2], [1, 1]]]],
[[2, 10, 3, 1, 5], [v = -2^(1/2), u = -v, And(-1 < x,x < 1), y < -1-x, 1 < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [0, 0], [-2, -2], [2, 2]]]], [[4, 5, 5, 5, 1], [v = -1, And(0 < u,u
< 1), And(-u^2 < x,x < 1), u^2+x < y, z < -u], [regular_chain, [[-1, -1], [1/2
, 1/2], [3/8, 3/8], [2, 2], [-2, -2]]]], [[4, 5, 5, 5, 2], [v = -1, And(0 < u,
u < 1), And(-u^2 < x,x < 1), u^2+x < y, z = -u], [regular_chain, [[-1, -1], [1
/2, 1/2], [3/8, 3/8], [2, 2], [-1/2, -1/2]]]], [[4, 5, 5, 5, 3], [v = -1, And(
0 < u,u < 1), And(-u^2 < x,x < 1), u^2+x < y, And(-u < z,z < u)], [
regular_chain, [[-1, -1], [1/2, 1/2], [3/8, 3/8], [2, 2], [0, 0]]]], [[4, 5, 5
, 5, 4], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 1), u^2+x < y, z = u], [
regular_chain, [[-1, -1], [1/2, 1/2], [3/8, 3/8], [2, 2], [1/2, 1/2]]]], [[4,
5, 5, 5, 5], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 1), u^2+x < y, u < z]
, [regular_chain, [[-1, -1], [1/2, 1/2], [3/8, 3/8], [2, 2], [2, 2]]]], [[5, 2
, 4, 2, 1], [And(-1 < v,v < 0), u = v, x = 1, y = -2, z < -1], [regular_chain,
[[-1/2, -1/2], [-1/2, -1/2], [1, 1], [-2, -2], [-2, -2]]]], [[5, 2, 4, 2, 2],
[And(-1 < v,v < 0), u = v, x = 1, y = -2, z = -1], [regular_chain, [[-1/2, -1/
2], [-1/2, -1/2], [1, 1], [-2, -2], [-1, -1]]]], [[5, 2, 4, 2, 3], [And(-1 < v
,v < 0), u = v, x = 1, y = -2, And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/
2], [-1/2, -1/2], [1, 1], [-2, -2], [0, 0]]]], [[5, 2, 4, 2, 4], [And(-1 < v,v
< 0), u = v, x = 1, y = -2, z = 1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2
], [1, 1], [-2, -2], [1, 1]]]], [[5, 2, 4, 2, 5], [And(-1 < v,v < 0), u = v, x
= 1, y = -2, 1 < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1, 1], [-2,
-2], [2, 2]]]], [[7, 5, 7, 1, 1], [And(0 < v,v < 1), v < u, 1 < x, y < -u^2+v^
2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [2, 2], [
-8, -8], [-4, -4]]]], [[7, 5, 7, 1, 2], [And(0 < v,v < 1), v < u, 1 < x, y < -
u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [2,
2], [-8, -8], [-2285319/1048576, -1142659/524288]]]], [[7, 5, 7, 1, 3], [And(0
< v,v < 1), v < u, 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], [2, 2], [2, 2], [-8, -8], [0, 0
]]]], [[7, 5, 7, 1, 4], [And(0 < v,v < 1), v < u, 1 < x, y < -u^2+v^2-x-1, z =
(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [2, 2], [2, 2], [-8, -8], [
1142659/524288, 2285319/1048576]]]], [[7, 5, 7, 1, 5], [And(0 < v,v < 1), v <
u, 1 < x, y < -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2
], [2, 2], [2, 2], [-8, -8], [4, 4]]]], [[8, 4, 5, 3, 1], [v = 1, u = 0, And(0
< x,x < 1), And(-x < y,y < x), z < 0], [regular_chain, [[1, 1], [0, 0], [1/2,
1/2], [0, 0], [-1, -1]]]], [[8, 4, 5, 3, 2], [v = 1, u = 0, And(0 < x,x < 1),
And(-x < y,y < x), z = 0], [regular_chain, [[1, 1], [0, 0], [1/2, 1/2], [0, 0]
, [0, 0]]]], [[8, 4, 5, 3, 3], [v = 1, u = 0, And(0 < x,x < 1), And(-x < y,y <
x), 0 < z], [regular_chain, [[1, 1], [0, 0], [1/2, 1/2], [0, 0], [1, 1]]]], [[
10, 11, 5, 1, 1], [v = 2^(1/2), v < u, And(-1 < x,x < 1), y < -u^2-x+1, z < -(
u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [0,
0], [-9, -9], [-4, -4]]]], [[10, 11, 5, 1, 2], [v = 2^(1/2), v < u, And(-1 < x
,x < 1), y < -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [0, 0], [-9, -9], [-2965821/1048576, -11863283/
4194304]]]], [[10, 11, 5, 1, 3], [v = 2^(1/2), v < u, And(-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], [0, 0], [-9, -9], [-3/8388608, -3/8388608]]]
], [[10, 11, 5, 1, 4], [v = 2^(1/2), v < u, And(-1 < x,x < 1), y < -u^2-x+1, z
= (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [
0, 0], [-9, -9], [741455/262144, 2965821/1048576]]]], [[10, 11, 5, 1, 5], [v =
2^(1/2), v < u, And(-1 < x,x < 1), y < -u^2-x+1, (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [0, 0], [-9, -9], [4
, 4]]]], [[11, 4, 3, 1, 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], [-2, -2], [-1, -1]]]], [[11, 4, 3, 1, 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], [-2, -2], [0, 0]]]], [
[11, 4, 3, 1, 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], [-2, -2], [1, 1]]]], [[1, 4, 7, 1, 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], [-3, -3], [-1, -1]]]], [[1, 4, 7, 1, 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], [-3, -3], [0, 0]]]], [[1, 4, 7, 1
, 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], [-3, -3], [1, 1]]]
], [[1, 8, 4, 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
]]]], [[2, 7, 2, 3, 1], [v = -2^(1/2), And(0 < u,u < 1), x = -1, And(u^2-2 < y
,y < -u^2+2), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/
2, 1/2], [-1, -1], [0, 0], [0, 0]]]], [[2, 10, 5, 1, 1], [v = -2^(1/2), u = -v
, 1 < x, y < -1-x, z < -1], [regular_chain, [[-1482911/1048576, -741455/524288
], [741455/524288, 1482911/1048576], [2, 2], [-4, -4], [-2, -2]]]], [[2, 10, 5
, 1, 2], [v = -2^(1/2), u = -v, 1 < x, y < -1-x, z = -1], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [2, 2], [-\
4, -4], [-1, -1]]]], [[2, 10, 5, 1, 3], [v = -2^(1/2), u = -v, 1 < x, y < -1-x
, And(-1 < z,z < 1)], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [2, 2], [-4, -4], [0, 0]]]], [[2, 10, 5, 1, 4
], [v = -2^(1/2), u = -v, 1 < x, y < -1-x, z = 1], [regular_chain, [[-1482911/
1048576, -741455/524288], [741455/524288, 1482911/1048576], [2, 2], [-4, -4],
[1, 1]]]], [[2, 10, 5, 1, 5], [v = -2^(1/2), u = -v, 1 < x, y < -1-x, 1 < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [2, 2], [-4, -4], [2, 2]]]], [[4, 5, 5, 3, 1], [v = -1, And(0 < u,u
< 1), And(-u^2 < x,x < 1), And(-u^2-x < y,y < u^2+x), z < -u], [regular_chain,
[[-1, -1], [1/2, 1/2], [3/8, 3/8], [0, 0], [-2, -2]]]], [[4, 5, 5, 3, 2], [v =
-1, And(0 < u,u < 1), And(-u^2 < x,x < 1), And(-u^2-x < y,y < u^2+x), z = -u],
[regular_chain, [[-1, -1], [1/2, 1/2], [3/8, 3/8], [0, 0], [-1/2, -1/2]]]], [[
4, 5, 5, 3, 3], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 1), And(-u^2-x < y
,y < u^2+x), And(-u < z,z < u)], [regular_chain, [[-1, -1], [1/2, 1/2], [3/8,
3/8], [0, 0], [0, 0]]]], [[4, 5, 5, 3, 4], [v = -1, And(0 < u,u < 1), And(-u^2
< x,x < 1), And(-u^2-x < y,y < u^2+x), z = u], [regular_chain, [[-1, -1], [1/2
, 1/2], [3/8, 3/8], [0, 0], [1/2, 1/2]]]], [[4, 5, 5, 3, 5], [v = -1, And(0 <
u,u < 1), And(-u^2 < x,x < 1), And(-u^2-x < y,y < u^2+x), u < z], [
regular_chain, [[-1, -1], [1/2, 1/2], [3/8, 3/8], [0, 0], [2, 2]]]], [[5, 2, 3
, 1, 1], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 1), y < -1-x, z < -1], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [-2, -2], [-2, -2]]]], [[5
, 2, 3, 1, 2], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 1), y < -1-x, z = -1]
, [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [-2, -2], [-1, -1]]]],
[[5, 2, 3, 1, 3], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 1), y < -1-x, And(
-1 < z,z < 1)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [-2, -2],
[0, 0]]]], [[5, 2, 3, 1, 4], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 1), y <
-1-x, z = 1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [-2, -2], [
1, 1]]]], [[5, 2, 3, 1, 5], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 1), y <
-1-x, 1 < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [-2, -2], [
2, 2]]]], [[8, 1, 3, 2, 1], [v = 1, u < -1, And(-u^2 < x,x < -1), y = -u^2-x,
z < u], [regular_chain, [[1, 1], [-2, -2], [-5/2, -5/2], [-3/2, -3/2], [-3, -3
]]]], [[8, 1, 3, 2, 2], [v = 1, u < -1, And(-u^2 < x,x < -1), y = -u^2-x, z =
u], [regular_chain, [[1, 1], [-2, -2], [-5/2, -5/2], [-3/2, -3/2], [-2, -2]]]]
, [[8, 1, 3, 2, 3], [v = 1, u < -1, And(-u^2 < x,x < -1), y = -u^2-x, And(u <
z,z < -u)], [regular_chain, [[1, 1], [-2, -2], [-5/2, -5/2], [-3/2, -3/2], [0,
0]]]], [[8, 1, 3, 2, 4], [v = 1, u < -1, And(-u^2 < x,x < -1), y = -u^2-x, z =
-u], [regular_chain, [[1, 1], [-2, -2], [-5/2, -5/2], [-3/2, -3/2], [2, 2]]]],
[[8, 1, 3, 2, 5], [v = 1, u < -1, And(-u^2 < x,x < -1), y = -u^2-x, -u < z], [
regular_chain, [[1, 1], [-2, -2], [-5/2, -5/2], [-3/2, -3/2], [3, 3]]]], [[8,
4, 7, 3, 1], [v = 1, u = 0, 1 < x, And(-x < y,y < x), z < 0], [regular_chain,
[[1, 1], [0, 0], [2, 2], [0, 0], [-1, -1]]]], [[8, 4, 7, 3, 2], [v = 1, u = 0,
1 < x, And(-x < y,y < x), z = 0], [regular_chain, [[1, 1], [0, 0], [2, 2], [0,
0], [0, 0]]]], [[8, 4, 7, 3, 3], [v = 1, u = 0, 1 < x, And(-x < y,y < x), 0 <
z], [regular_chain, [[1, 1], [0, 0], [2, 2], [0, 0], [1, 1]]]], [[10, 11, 3, 1
, 1], [v = 2^(1/2), v < 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
], [-5, -5], [-4, -4]]]], [[10, 11, 3, 1, 2], [v = 2^(1/2), v < 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], [-5, -5], [-2965821/1048576, -\
11863283/4194304]]]], [[10, 11, 3, 1, 3], [v = 2^(1/2), v < 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], [-5, -\
5], [-3/8388608, -3/8388608]]]], [[10, 11, 3, 1, 4], [v = 2^(1/2), v < 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], [-5, -5], [741455/262144, 
2965821/1048576]]]], [[10, 11, 3, 1, 5], [v = 2^(1/2), v < 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], [-5, -5], [4, 4]]]], [[11, 3, 7, 2, 1]
, [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z < -
(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [2, 2], [-653431/262144, -2613723/1048576], [-2, -2]]]], [[11, 3, 7,
2, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1,
z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [2, 2], [-653431/262144, -2613723/1048576], [-735979/1048576, -\
1471957/2097152]]]], [[11, 3, 7, 2, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^
(1/2)), 1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1
/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2, 2],
[-653431/262144, -2613723/1048576], [-1/4194304, -1/4194304]]]], [[11, 3, 7, 2
, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z
= (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [2, 2], [-653431/262144, -2613723/1048576], [367989/524288, 735979/
1048576]]]], [[11, 3, 7, 2, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [2, 2], [-653431/262144, -2613723/1048576]
, [2, 2]]]], [[1, 12, 1, 5, 1], [v < -2^(1/2), u = -v, x < -1, -1-x < y, z < -\
1], [regular_chain, [[-3, -3], [3, 3], [-2, -2], [2, 2], [-2, -2]]]], [[1, 12,
1, 5, 2], [v < -2^(1/2), u = -v, x < -1, -1-x < y, z = -1], [regular_chain, [[
-3, -3], [3, 3], [-2, -2], [2, 2], [-1, -1]]]], [[1, 12, 1, 5, 3], [v < -2^(1/
2), u = -v, x < -1, -1-x < y, And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [
3, 3], [-2, -2], [2, 2], [0, 0]]]], [[1, 12, 1, 5, 4], [v < -2^(1/2), u = -v,
x < -1, -1-x < y, z = 1], [regular_chain, [[-3, -3], [3, 3], [-2, -2], [2, 2],
[1, 1]]]], [[1, 12, 1, 5, 5], [v < -2^(1/2), u = -v, x < -1, -1-x < y, 1 < z],
[regular_chain, [[-3, -3], [3, 3], [-2, -2], [2, 2], [2, 2]]]], [[2, 3, 1, 3,
1], [v = -2^(1/2), And(v < u,u < -1), x < -1, And(u^2+x-1 < y,y < -u^2-x+1), z
< -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-2, -2], [0, 0], [-2, -2]]]], [[2, 3, 1,
3, 2], [v = -2^(1/2), And(v < u,u < -1), x < -1, And(u^2+x-1 < y,y < -u^2-x+1)
, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-2, -2], [0, 0], [-1417877/2097152, -\
354469/524288]]]], [[2, 3, 1, 3, 3], [v = -2^(1/2), And(v < u,u < -1), x < -1,
And(u^2+x-1 < y,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], [0, 0], [0, 0]]]], [[2, 3, 1, 3, 4], [v = -2^(1/2)
, And(v < u,u < -1), x < -1, And(u^2+x-1 < y,y < -u^2-x+1), z = (u^2-1)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [0, 0], [354469/524288, 708939/1048576]]]], [[2, 3
, 1, 3, 5], [v = -2^(1/2), And(v < u,u < -1), x < -1, And(u^2+x-1 < y,y < -u^2
-x+1), (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1265743/1048576, -1265743/1048576], [-2, -2], [0, 0], [2, 2]]]], [[3, 3, 4
, 2, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^
2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -\
225185/524288], [0, 0], [-2, -2]]]], [[3, 3, 4, 2, 2], [And(-2^(1/2) < v,v < -\
1), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304,
-3949363/4194304], [-450371/1048576, -225185/524288], [0, 0], [-1374407/
2097152, -687203/1048576]]]], [[3, 3, 4, 2, 3], [And(-2^(1/2) < v,v < -1), And
(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,
z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-3949363/4194304, -3949363/4194304], [-450371/1048576, -225185/524288], [0,
0], [0, 0]]]], [[3, 3, 4, 2, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^
2-1)^(1/2)), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
450371/1048576, -225185/524288], [0, 0], [687203/1048576, 171801/262144]]]], [
[3, 3, 4, 2, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x =
-u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -\
225185/524288], [0, 0], [2, 2]]]], [[3, 6, 6, 5, 1], [And(-2^(1/2) < v,v < -1)
, u = (v^2-1)^(1/2), x = 1, 1 < y, z < 0], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [354469/524288, 708939/1048576], [1, 1], [2, 2], [-1, -1]]]
], [[3, 6, 6, 5, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 1, 1 <
y, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/
524288, 708939/1048576], [1, 1], [2, 2], [0, 0]]]], [[3, 6, 6, 5, 3], [And(-2^
(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 1, 1 < y, 0 < z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [1, 1],
[2, 2], [1, 1]]]], [[6, 1, 2, 2, 1], [v = 0, u < 0, x = -u^2-1, y = 0, z < -(u
^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-2, -2], [0, 0], [-3, -3]]]]
, [[6, 1, 2, 2, 2], [v = 0, u < 0, x = -u^2-1, y = 0, z = -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-2, -2], [0, 0], [-1482911/1048576, -741455
/524288]]]], [[6, 1, 2, 2, 3], [v = 0, 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, -1], [-2, -2], [0
, 0], [0, 0]]]], [[6, 1, 2, 2, 4], [v = 0, u < 0, x = -u^2-1, y = 0, z = (u^2+
1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-2, -2], [0, 0], [741455/524288
, 1482911/1048576]]]], [[6, 1, 2, 2, 5], [v = 0, u < 0, x = -u^2-1, y = 0, (u^
2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [-2, -2], [0, 0], [3, 3]]]
], [[7, 1, 6, 5, 1], [And(0 < v,v < 1), u < -v, x = 1, u^2-v^2+2 < y, z < -(u^
2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2], [1, 1], [7, 7], [-4, -\
4]]]], [[7, 1, 6, 5, 2], [And(0 < v,v < 1), u < -v, x = 1, u^2-v^2+2 < y, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2], [1, 1], [7, 7], [-\
2285319/1048576, -1142659/524288]]]], [[7, 1, 6, 5, 3], [And(0 < v,v < 1), u <
-v, x = 1, u^2-v^2+2 < y, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))],
[regular_chain, [[1/2, 1/2], [-2, -2], [1, 1], [7, 7], [0, 0]]]], [[7, 1, 6, 5
, 4], [And(0 < v,v < 1), u < -v, x = 1, u^2-v^2+2 < y, z = (u^2-v^2+1)^(1/2)],
[regular_chain, [[1/2, 1/2], [-2, -2], [1, 1], [7, 7], [1142659/524288, 
2285319/1048576]]]], [[7, 1, 6, 5, 5], [And(0 < v,v < 1), u < -v, x = 1, u^2-v
^2+2 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-2, -2], [1, 1
], [7, 7], [4, 4]]]], [[9, 1, 5, 1, 1], [And(1 < v,v < 2^(1/2)), u < -v, And(-\
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], [0, 0], [-10, -10], [-4, -4]]]],
[[9, 1, 5, 1, 2], [And(1 < v,v < 2^(1/2)), u < -v, And(-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], [0, 0], [-10, -10], [-1532401/524288, -24518415/8388608]]]
], [[9, 1, 5, 1, 3], [And(1 < v,v < 2^(1/2)), u < -v, And(-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], [0, 0], [-10, -\
10], [-7/16777216, -7/16777216]]]], [[9, 1, 5, 1, 4], [And(1 < v,v < 2^(1/2)),
u < -v, And(-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], [0, 0], [-10, -\
10], [3064801/1048576, 1532401/524288]]]], [[9, 1, 5, 1, 5], [And(1 < v,v < 2^
(1/2)), u < -v, And(-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], [0, 0], [-10, -\
10], [4, 4]]]], [[9, 5, 2, 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]]]], [[10, 3, 7, 5, 1], [v = 2^(1/2), And(-v < u,u < -1), 1 < x
, u^2+x-1 < y, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [4, 4], [-2, -2]]]], [
[10, 3, 7, 5, 2], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, u^2+x-1 < y, z = -(
u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [2, 2], [4, 4], [-1417877/2097152, -354469/524288]
]]], [[10, 3, 7, 5, 3], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, u^2+x-1 < y,
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], [4, 4], [0, 0]
]]], [[10, 3, 7, 5, 4], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, u^2+x-1 < y,
z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [2, 2], [4, 4], [354469/524288, 708939/
1048576]]]], [[10, 3, 7, 5, 5], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, u^2+x
-1 < y, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[-1265743/1048576, -1265743/1048576], [2, 2], [4, 4], [2, 2]]]], [[10, 7, 5, 3
, 1], [v = 2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), And(-u^2-x+1 < y,
y < u^2+x-1), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2,
1/2], [7/8, 7/8], [0, 0], [0, 0]]]], [[11, 8, 1, 2, 1], [2^(1/2) < v, u = (v^2
-2)^(1/2), x < -1, y = x-1, z = z], [regular_chain, [[3, 3], [2774271/1048576,
10837/4096], [-2, -2], [-3, -3], [0, 0]]]], [[11, 11, 5, 5, 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 <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [532005/2097152, 532005/2097152], [2, 2], [-2, -2]]]], [[11, 11, 5,
5, 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 = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [532005/2097152, 532005/2097152], [2, 2], [-735979/
1048576, -1471957/2097152]]]], [[11, 11, 5, 5, 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(-(u^2-v^2+1)^
(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152,
6111549/2097152], [532005/2097152, 532005/2097152], [2, 2], [-1/4194304, -1/
4194304]]]], [[11, 11, 5, 5, 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 = (u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [532005/2097152, 
532005/2097152], [2, 2], [367989/524288, 735979/1048576]]]], [[11, 11, 5, 5, 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, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152
, 6111549/2097152], [532005/2097152, 532005/2097152], [2, 2], [2, 2]]]], [[1,
4, 7, 2, 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, 4, 7, 2, 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, 4, 7, 2, 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, 8, 4, 3, 1], [v
< -2^(1/2), u = (v^2-2)^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[-3, -3]
, [2774271/1048576, 10837/4096], [1, 1], [1, 1], [0, 0]]]], [[2, 7, 2, 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, 10, 4, 5, 1], [v = -2^(1/2), u = -v, x = 1, 2 < y, z < -1], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [1, 1], [3, 3], [-2, -2]]]], [[2, 10, 4, 5, 2], [v = -2^(1/2), u = -
v, x = 1, 2 < y, z = -1], [regular_chain, [[-1482911/1048576, -741455/524288],
[741455/524288, 1482911/1048576], [1, 1], [3, 3], [-1, -1]]]], [[2, 10, 4, 5,
3], [v = -2^(1/2), u = -v, x = 1, 2 < y, And(-1 < z,z < 1)], [regular_chain, [
[-1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [1, 1],
[3, 3], [0, 0]]]], [[2, 10, 4, 5, 4], [v = -2^(1/2), u = -v, x = 1, 2 < y, z =
1], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 
1482911/1048576], [1, 1], [3, 3], [1, 1]]]], [[2, 10, 4, 5, 5], [v = -2^(1/2),
u = -v, x = 1, 2 < y, 1 < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [741455/524288, 1482911/1048576], [1, 1], [3, 3], [2, 2]]]], [[4, 5,
5, 4, 1], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 1), y = u^2+x, z < -u],
[regular_chain, [[-1, -1], [1/2, 1/2], [3/8, 3/8], [5/8, 5/8], [-2, -2]]]], [[
4, 5, 5, 4, 2], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 1), y = u^2+x, z =
-u], [regular_chain, [[-1, -1], [1/2, 1/2], [3/8, 3/8], [5/8, 5/8], [-1/2, -1/
2]]]], [[4, 5, 5, 4, 3], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 1), y = u
^2+x, And(-u < z,z < u)], [regular_chain, [[-1, -1], [1/2, 1/2], [3/8, 3/8], [
5/8, 5/8], [0, 0]]]], [[4, 5, 5, 4, 4], [v = -1, And(0 < u,u < 1), And(-u^2 <
x,x < 1), y = u^2+x, z = u], [regular_chain, [[-1, -1], [1/2, 1/2], [3/8, 3/8]
, [5/8, 5/8], [1/2, 1/2]]]], [[4, 5, 5, 4, 5], [v = -1, And(0 < u,u < 1), And(
-u^2 < x,x < 1), y = u^2+x, u < z], [regular_chain, [[-1, -1], [1/2, 1/2], [3/
8, 3/8], [5/8, 5/8], [2, 2]]]], [[5, 2, 3, 2, 1], [And(-1 < v,v < 0), u = v, 
And(-1 < x,x < 1), y = -1-x, z < -1], [regular_chain, [[-1/2, -1/2], [-1/2, -1
/2], [0, 0], [-1, -1], [-2, -2]]]], [[5, 2, 3, 2, 2], [And(-1 < v,v < 0), u =
v, And(-1 < x,x < 1), y = -1-x, z = -1], [regular_chain, [[-1/2, -1/2], [-1/2,
-1/2], [0, 0], [-1, -1], [-1, -1]]]], [[5, 2, 3, 2, 3], [And(-1 < v,v < 0), u
= v, And(-1 < x,x < 1), y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1/2,
-1/2], [-1/2, -1/2], [0, 0], [-1, -1], [0, 0]]]], [[5, 2, 3, 2, 4], [And(-1 <
v,v < 0), u = v, And(-1 < x,x < 1), y = -1-x, z = 1], [regular_chain, [[-1/2,
-1/2], [-1/2, -1/2], [0, 0], [-1, -1], [1, 1]]]], [[5, 2, 3, 2, 5], [And(-1 <
v,v < 0), u = v, And(-1 < x,x < 1), y = -1-x, 1 < z], [regular_chain, [[-1/2,
-1/2], [-1/2, -1/2], [0, 0], [-1, -1], [2, 2]]]], [[8, 1, 3, 1, 1], [v = 1, u
< -1, And(-u^2 < x,x < -1), y < -u^2-x, z < u], [regular_chain, [[1, 1], [-2,
-2], [-5/2, -5/2], [-3, -3], [-3, -3]]]], [[8, 1, 3, 1, 2], [v = 1, u < -1, 
And(-u^2 < x,x < -1), y < -u^2-x, z = u], [regular_chain, [[1, 1], [-2, -2], [
-5/2, -5/2], [-3, -3], [-2, -2]]]], [[8, 1, 3, 1, 3], [v = 1, u < -1, And(-u^2
< x,x < -1), y < -u^2-x, And(u < z,z < -u)], [regular_chain, [[1, 1], [-2, -2]
, [-5/2, -5/2], [-3, -3], [0, 0]]]], [[8, 1, 3, 1, 4], [v = 1, u < -1, And(-u^
2 < x,x < -1), y < -u^2-x, z = -u], [regular_chain, [[1, 1], [-2, -2], [-5/2,
-5/2], [-3, -3], [2, 2]]]], [[8, 1, 3, 1, 5], [v = 1, u < -1, And(-u^2 < x,x <
-1), y < -u^2-x, -u < z], [regular_chain, [[1, 1], [-2, -2], [-5/2, -5/2], [-3
, -3], [3, 3]]]], [[8, 4, 7, 2, 1], [v = 1, u = 0, 1 < x, y = -x, z < 0], [
regular_chain, [[1, 1], [0, 0], [2, 2], [-2, -2], [-1, -1]]]], [[8, 4, 7, 2, 2
], [v = 1, u = 0, 1 < x, y = -x, z = 0], [regular_chain, [[1, 1], [0, 0], [2,
2], [-2, -2], [0, 0]]]], [[8, 4, 7, 2, 3], [v = 1, u = 0, 1 < x, y = -x, 0 < z
], [regular_chain, [[1, 1], [0, 0], [2, 2], [-2, -2], [1, 1]]]], [[10, 11, 3,
2, 1], [v = 2^(1/2), v < 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, 11, 3, 2, 2], [v = 2^(1/2), v < 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, 11, 3, 2, 3], [v = 2^(1/2), v < 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, 11, 3, 2, 4], [v = 2^(1/2), v < 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, 11, 3, 2, 5], [v = 2^(1/2), v < 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,
3, 7, 3, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, And(-u^2+v^2
-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [
-6111549/2097152, -6111549/2097152], [2, 2], [0, 0], [-2, -2]]]], [[11, 3, 7,
3, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 <
y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [2, 2], [0, 0], [-735979/1048576, -1471957
/2097152]]]], [[11, 3, 7, 3, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), And(-(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], [0, 0], [-1/4194304, -1/4194304]]]], [[11, 3, 7, 3, 4], [2^(
1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-
v^2+x+1), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152,
-6111549/2097152], [2, 2], [0, 0], [367989/524288, 735979/1048576]]]], [[11, 3
, 7, 3, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-
x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [2, 2], [0, 0], [2, 2]]]], [[1, 12, 2, 1,
1], [v < -2^(1/2), u = -v, x = -1, y < 0, z < -1], [regular_chain, [[-3, -3],
[3, 3], [-1, -1], [-1, -1], [-2, -2]]]], [[1, 12, 2, 1, 2], [v < -2^(1/2), u =
-v, x = -1, y < 0, z = -1], [regular_chain, [[-3, -3], [3, 3], [-1, -1], [-1,
-1], [-1, -1]]]], [[1, 12, 2, 1, 3], [v < -2^(1/2), u = -v, x = -1, y < 0, And
(-1 < z,z < 1)], [regular_chain, [[-3, -3], [3, 3], [-1, -1], [-1, -1], [0, 0]
]]], [[1, 12, 2, 1, 4], [v < -2^(1/2), u = -v, x = -1, y < 0, z = 1], [
regular_chain, [[-3, -3], [3, 3], [-1, -1], [-1, -1], [1, 1]]]], [[1, 12, 2, 1
, 5], [v < -2^(1/2), u = -v, x = -1, y < 0, 1 < z], [regular_chain, [[-3, -3],
[3, 3], [-1, -1], [-1, -1], [2, 2]]]], [[2, 3, 1, 4, 1], [v = -2^(1/2), And(v
< u,u < -1), x < -1, y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-2, -\
2], [1617841/1048576, 808921/524288], [-2, -2]]]], [[2, 3, 1, 4, 2], [v = -2^(
1/2), And(v < u,u < -1), x < -1, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [1617841/1048576, 808921/524288], [-1417877/
2097152, -354469/524288]]]], [[2, 3, 1, 4, 3], [v = -2^(1/2), And(v < u,u < -1
), 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], [-2, -2], [1617841/1048576, 808921/524288], [0, 0]]]], [[2,
3, 1, 4, 4], [v = -2^(1/2), And(v < u,u < -1), x < -1, y = -u^2-x+1, z = (u^2-\
1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-2, -2], [1617841/1048576, 808921/524288], [
354469/524288, 708939/1048576]]]], [[2, 3, 1, 4, 5], [v = -2^(1/2), And(v < u,
u < -1), x < -1, y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-2, -2], [
1617841/1048576, 808921/524288], [2, 2]]]], [[3, 3, 4, 1, 1], [And(-2^(1/2) <
v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y < 0, z < -(u^2-v^2
+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-450371/1048576, -225185/524288], [-1, -1], [-2,
-2]]]], [[3, 3, 4, 1, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1
/2)), x = -u^2+v^2-1, y < 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
450371/1048576, -225185/524288], [-1, -1], [-1374407/2097152, -687203/1048576]
]]], [[3, 3, 4, 1, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)
), x = -u^2+v^2-1, y < 0, And(-(u^2-v^2+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], [-1, -1], [0, 0]]]], [[3,
3, 4, 1, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -u^
2+v^2-1, y < 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -\
225185/524288], [-1, -1], [687203/1048576, 171801/262144]]]], [[3, 3, 4, 1, 5]
, [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y
< 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -225185/
524288], [-1, -1], [2, 2]]]], [[3, 6, 6, 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, 6, 6, 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, 6, 6, 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]]]], [[6, 1, 2, 3, 1], [v = 0, u < 0, x = -u^2-1, 0 < y, z < -(u
^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-2, -2], [1, 1], [-3, -3]]]]
, [[6, 1, 2, 3, 2], [v = 0, u < 0, x = -u^2-1, 0 < y, z = -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-2, -2], [1, 1], [-1482911/1048576, -741455
/524288]]]], [[6, 1, 2, 3, 3], [v = 0, u < 0, x = -u^2-1, 0 < y, And(-(u^2+1)^
(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [-2, -2], [1
, 1], [0, 0]]]], [[6, 1, 2, 3, 4], [v = 0, u < 0, x = -u^2-1, 0 < y, z = (u^2+
1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-2, -2], [1, 1], [741455/524288
, 1482911/1048576]]]], [[6, 1, 2, 3, 5], [v = 0, u < 0, x = -u^2-1, 0 < y, (u^
2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [-2, -2], [1, 1], [3, 3]]]
], [[7, 1, 7, 1, 1], [And(0 < v,v < 1), 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], [-2, -2], [2, 2], [-8, -8], [
-4, -4]]]], [[7, 1, 7, 1, 2], [And(0 < v,v < 1), 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], [-2, -2], [2, 2], [-\
8, -8], [-2285319/1048576, -1142659/524288]]]], [[7, 1, 7, 1, 3], [And(0 < v,v
< 1), 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], [-2, -2], [2, 2], [-8, -8], [0, 0]]]
], [[7, 1, 7, 1, 4], [And(0 < v,v < 1), 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], [-2, -2], [2, 2], [-8, -8], [
1142659/524288, 2285319/1048576]]]], [[7, 1, 7, 1, 5], [And(0 < v,v < 1), 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], [-2, -2], [2, 2], [-8, -8], [4, 4]]]], [[9, 1, 4, 5, 1], [And(1 < v,v < 2^
(1/2)), u < -v, x = -1, u^2-v^2 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [9, 9], [-4, -4]]]],
[[9, 1, 4, 5, 2], [And(1 < v,v < 2^(1/2)), u < -v, x = -1, u^2-v^2 < y, z = -(
u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -\
3], [-1, -1], [9, 9], [-1532401/524288, -24518415/8388608]]]], [[9, 1, 4, 5, 3
], [And(1 < v,v < 2^(1/2)), u < -v, x = -1, u^2-v^2 < y, 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], [9, 9], [-7/16777216, -7/16777216]]]], [[9, 1, 4
, 5, 4], [And(1 < v,v < 2^(1/2)), u < -v, x = -1, u^2-v^2 < y, z = (u^2-v^2+1)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1, -\
1], [9, 9], [3064801/1048576, 1532401/524288]]]], [[9, 1, 4, 5, 5], [And(1 < v
,v < 2^(1/2)), u < -v, x = -1, u^2-v^2 < y, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [9, 9]
, [4, 4]]]], [[9, 5, 2, 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]]]], [[10, 4, 1,
1, 1], [v = 2^(1/2), u = -1, x < -1, y < x, z < 0], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [-2, -2], [-3, -3], [-1, -1]]]], [[10, 4,
1, 1, 2], [v = 2^(1/2), u = -1, x < -1, y < x, z = 0], [regular_chain, [[
741455/524288, 1482911/1048576], [-1, -1], [-2, -2], [-3, -3], [0, 0]]]], [[10
, 4, 1, 1, 3], [v = 2^(1/2), u = -1, x < -1, y < x, 0 < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1, -1], [-2, -2], [-3, -3], [1, 1]]]], [[10
, 7, 5, 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]]]], [[11, 8, 1, 1, 1], [2^(1/2) < v, u = (v^2-2)^
(1/2), x < -1, y < x-1, z = z], [regular_chain, [[3, 3], [2774271/1048576, 
10837/4096], [-2, -2], [-4, -4], [0, 0]]]], [[11, 11, 5, 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], [532005/2097152, 532005/2097152], [391287/524288, 782575/1048576], [
-2, -2]]]], [[11, 11, 5, 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], [532005/2097152, 
532005/2097152], [391287/524288, 782575/1048576], [-735979/1048576, -1471957/
2097152]]]], [[11, 11, 5, 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],
[532005/2097152, 532005/2097152], [391287/524288, 782575/1048576], [-1/4194304
, -1/4194304]]]], [[11, 11, 5, 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], [532005/2097152, 
532005/2097152], [391287/524288, 782575/1048576], [367989/524288, 735979/
1048576]]]], [[11, 11, 5, 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], [532005/2097152, 
532005/2097152], [391287/524288, 782575/1048576], [2, 2]]]], [[1, 4, 6, 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,
4, 6, 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, 4, 6, 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, 8, 5, 1, 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], [-2, -2], [0, 0]]]], [[2, 7, 2, 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, 10, 5, 3, 1],
[v = -2^(1/2), u = -v, 1 < x, And(-1-x < y,y < x+1), z < -1], [regular_chain,
[[-1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [2, 2],
[0, 0], [-2, -2]]]], [[2, 10, 5, 3, 2], [v = -2^(1/2), u = -v, 1 < x, And(-1-x
< y,y < x+1), z = -1], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [2, 2], [0, 0], [-1, -1]]]], [[2, 10, 5, 3, 3
], [v = -2^(1/2), u = -v, 1 < x, And(-1-x < y,y < x+1), And(-1 < z,z < 1)], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [2, 2], [0, 0], [0, 0]]]], [[2, 10, 5, 3, 4], [v = -2^(1/2), u = -v,
1 < x, And(-1-x < y,y < x+1), z = 1], [regular_chain, [[-1482911/1048576, -\
741455/524288], [741455/524288, 1482911/1048576], [2, 2], [0, 0], [1, 1]]]], [
[2, 10, 5, 3, 5], [v = -2^(1/2), u = -v, 1 < x, And(-1-x < y,y < x+1), 1 < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [2, 2], [0, 0], [2, 2]]]], [[4, 5, 5, 1, 1], [v = -1, And(0 < u,u <
1), And(-u^2 < x,x < 1), y < -u^2-x, z < -u], [regular_chain, [[-1, -1], [1/2,
1/2], [3/8, 3/8], [-2, -2], [-2, -2]]]], [[4, 5, 5, 1, 2], [v = -1, And(0 < u,
u < 1), And(-u^2 < x,x < 1), y < -u^2-x, z = -u], [regular_chain, [[-1, -1], [
1/2, 1/2], [3/8, 3/8], [-2, -2], [-1/2, -1/2]]]], [[4, 5, 5, 1, 3], [v = -1, 
And(0 < u,u < 1), And(-u^2 < x,x < 1), y < -u^2-x, And(-u < z,z < u)], [
regular_chain, [[-1, -1], [1/2, 1/2], [3/8, 3/8], [-2, -2], [0, 0]]]], [[4, 5,
5, 1, 4], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 1), y < -u^2-x, z = u],
[regular_chain, [[-1, -1], [1/2, 1/2], [3/8, 3/8], [-2, -2], [1/2, 1/2]]]], [[
4, 5, 5, 1, 5], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 1), y < -u^2-x, u
< z], [regular_chain, [[-1, -1], [1/2, 1/2], [3/8, 3/8], [-2, -2], [2, 2]]]],
[[5, 2, 3, 3, 1], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 1), And(-1-x < y,y
< x+1), z < -1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [0, 0],
[-2, -2]]]], [[5, 2, 3, 3, 2], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 1), 
And(-1-x < y,y < x+1), z = -1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [
0, 0], [0, 0], [-1, -1]]]], [[5, 2, 3, 3, 3], [And(-1 < v,v < 0), u = v, And(-\
1 < x,x < 1), And(-1-x < y,y < x+1), And(-1 < z,z < 1)], [regular_chain, [[-1/
2, -1/2], [-1/2, -1/2], [0, 0], [0, 0], [0, 0]]]], [[5, 2, 3, 3, 4], [And(-1 <
v,v < 0), u = v, And(-1 < x,x < 1), And(-1-x < y,y < x+1), z = 1], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [0, 0], [1, 1]]]], [[5, 2,
3, 3, 5], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 1), And(-1-x < y,y < x+1),
1 < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [0, 0], [2, 2]]]]
, [[8, 1, 2, 3, 1], [v = 1, u < -1, x = -u^2, 0 < y, z < u], [regular_chain, [
[1, 1], [-2, -2], [-4, -4], [1, 1], [-3, -3]]]], [[8, 1, 2, 3, 2], [v = 1, u <
-1, x = -u^2, 0 < y, z = u], [regular_chain, [[1, 1], [-2, -2], [-4, -4], [1,
1], [-2, -2]]]], [[8, 1, 2, 3, 3], [v = 1, u < -1, x = -u^2, 0 < y, And(u < z,
z < -u)], [regular_chain, [[1, 1], [-2, -2], [-4, -4], [1, 1], [0, 0]]]], [[8,
1, 2, 3, 4], [v = 1, u < -1, x = -u^2, 0 < y, z = -u], [regular_chain, [[1, 1]
, [-2, -2], [-4, -4], [1, 1], [2, 2]]]], [[8, 1, 2, 3, 5], [v = 1, u < -1, x =
-u^2, 0 < y, -u < z], [regular_chain, [[1, 1], [-2, -2], [-4, -4], [1, 1], [3,
3]]]], [[8, 4, 7, 5, 1], [v = 1, u = 0, 1 < x, x < y, z < 0], [regular_chain,
[[1, 1], [0, 0], [2, 2], [3, 3], [-1, -1]]]], [[8, 4, 7, 5, 2], [v = 1, u = 0,
1 < x, x < y, z = 0], [regular_chain, [[1, 1], [0, 0], [2, 2], [3, 3], [0, 0]]
]], [[8, 4, 7, 5, 3], [v = 1, u = 0, 1 < x, x < y, 0 < z], [regular_chain, [[1
, 1], [0, 0], [2, 2], [3, 3], [1, 1]]]], [[10, 11, 2, 2, 1], [v = 2^(1/2), v <
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, 11, 2, 2, 2], [
v = 2^(1/2), v < 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, 11, 2, 2, 3], [v = 2^(1/2), v < 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, 11, 2, 2, 4], [v = 2^(1/2), v < 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, 11, 2, 2, 5], [v = 2^(1/2), v <
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, 3, 7, 4, 1], [2^(
1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-v^2+x+1, z < -(u^2-v^
2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2
, 2], [2613723/1048576, 653431/262144], [-2, -2]]]], [[11, 3, 7, 4, 2], [2^(1/
2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-v^2+x+1, z = -(u^2-v^2+
1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2,
2], [2613723/1048576, 653431/262144], [-735979/1048576, -1471957/2097152]]]],
[[11, 3, 7, 4, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^
2-v^2+x+1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain,
[[3, 3], [-6111549/2097152, -6111549/2097152], [2, 2], [2613723/1048576, 
653431/262144], [-1/4194304, -1/4194304]]]], [[11, 3, 7, 4, 4], [2^(1/2) < v,
And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)]
, [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2, 2], [
2613723/1048576, 653431/262144], [367989/524288, 735979/1048576]]]], [[11, 3,
7, 4, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-v^2+x+1
, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549
/2097152], [2, 2], [2613723/1048576, 653431/262144], [2, 2]]]], [[1, 12, 1, 3,
1], [v < -2^(1/2), u = -v, x < -1, And(x+1 < y,y < -1-x), z < -1], [
regular_chain, [[-3, -3], [3, 3], [-2, -2], [0, 0], [-2, -2]]]], [[1, 12, 1, 3
, 2], [v < -2^(1/2), u = -v, x < -1, And(x+1 < y,y < -1-x), z = -1], [
regular_chain, [[-3, -3], [3, 3], [-2, -2], [0, 0], [-1, -1]]]], [[1, 12, 1, 3
, 3], [v < -2^(1/2), u = -v, x < -1, And(x+1 < y,y < -1-x), And(-1 < z,z < 1)]
, [regular_chain, [[-3, -3], [3, 3], [-2, -2], [0, 0], [0, 0]]]], [[1, 12, 1,
3, 4], [v < -2^(1/2), u = -v, x < -1, And(x+1 < y,y < -1-x), z = 1], [
regular_chain, [[-3, -3], [3, 3], [-2, -2], [0, 0], [1, 1]]]], [[1, 12, 1, 3,
5], [v < -2^(1/2), u = -v, x < -1, And(x+1 < y,y < -1-x), 1 < z], [
regular_chain, [[-3, -3], [3, 3], [-2, -2], [0, 0], [2, 2]]]], [[2, 3, 1, 5, 1
], [v = -2^(1/2), And(v < u,u < -1), x < -1, -u^2-x+1 < y, z < -(u^2-1)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [3, 3], [-2, -2]]]], [[2, 3, 1, 5, 2], [v = -2^(1/
2), And(v < u,u < -1), x < -1, -u^2-x+1 < y, z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [3, 3], [-1417877/2097152, -354469/524288]]]], [[2
, 3, 1, 5, 3], [v = -2^(1/2), And(v < u,u < -1), x < -1, -u^2-x+1 < y, 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], [3, 3], [0, 0]
]]], [[2, 3, 1, 5, 4], [v = -2^(1/2), And(v < u,u < -1), x < -1, -u^2-x+1 < y,
z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-2, -2], [3, 3], [354469/524288, 708939/
1048576]]]], [[2, 3, 1, 5, 5], [v = -2^(1/2), And(v < u,u < -1), x < -1, -u^2-
x+1 < y, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [-2, -2], [3, 3], [2, 2]]]], [[
3, 3, 3, 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), -u^2+v^2-x-1 < y, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [2, 2], [-2, -2]]]], [
[3, 3, 3, 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), -u^2+v^2-x-1 < y, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [2, 2], [-1374407/
2097152, -687203/1048576]]]], [[3, 3, 3, 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), -u^2+v^2-x-1 < y, 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], [2, 2], [0, 0]]]], [[3, 3, 3, 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), -u^2+v
^2-x-1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/2097152, -\
1498947/2097152], [2, 2], [687203/1048576, 171801/262144]]]], [[3, 3, 3, 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), -u^2+v^2-x-1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/
2097152, -1498947/2097152], [2, 2], [2, 2]]]], [[3, 6, 7, 2, 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, 6, 7, 2, 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, 6
, 7, 2, 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]]]], [[6, 1, 1, 5, 1], [v = 0, u < 0,
x < -u^2-1, -u^2-x-1 < y, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -\
1], [-3, -3], [2, 2], [-3, -3]]]], [[6, 1, 1, 5, 2], [v = 0, u < 0, x < -u^2-1
, -u^2-x-1 < y, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-3, -\
3], [2, 2], [-1482911/1048576, -741455/524288]]]], [[6, 1, 1, 5, 3], [v = 0, u
< 0, x < -u^2-1, -u^2-x-1 < y, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [
regular_chain, [[0, 0], [-1, -1], [-3, -3], [2, 2], [0, 0]]]], [[6, 1, 1, 5, 4
], [v = 0, u < 0, x < -u^2-1, -u^2-x-1 < y, z = (u^2+1)^(1/2)], [regular_chain
, [[0, 0], [-1, -1], [-3, -3], [2, 2], [741455/524288, 1482911/1048576]]]], [[
6, 1, 1, 5, 5], [v = 0, u < 0, x < -u^2-1, -u^2-x-1 < y, (u^2+1)^(1/2) < z], [
regular_chain, [[0, 0], [-1, -1], [-3, -3], [2, 2], [3, 3]]]], [[7, 1, 7, 2, 1
], [And(0 < v,v < 1), 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], [-2, -2], [2, 2], [-27/4, -27/4], [-4, -4]]]],
[[7, 1, 7, 2, 2], [And(0 < v,v < 1), 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], [-2, -2], [2, 2], [-27/4, -27/4]
, [-2285319/1048576, -1142659/524288]]]], [[7, 1, 7, 2, 3], [And(0 < v,v < 1),
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], [-2, -2], [2, 2], [-27/4, -27/4], [0, 0]]]
], [[7, 1, 7, 2, 4], [And(0 < v,v < 1), 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], [-2, -2], [2, 2], [-27/4, -27/
4], [1142659/524288, 2285319/1048576]]]], [[7, 1, 7, 2, 5], [And(0 < v,v < 1),
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], [-2, -2], [2, 2], [-27/4, -27/4], [4, 4]]]], [[9, 1, 4, 4, 1], [And(1
< v,v < 2^(1/2)), u < -v, 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, 4, 2], [And(1 < v,v
< 2^(1/2)), u < -v, 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, 4, 3], [And(1 < v,v < 2^(1/2)), 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], [-3, -3], [-1, -1], [7909297/1048576, 3954649/524288], [-7/
16777216, -7/16777216]]]], [[9, 1, 4, 4, 4], [And(1 < v,v < 2^(1/2)), u < -v,
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, 4, 5], [And(1 < v,v < 2^(1/2))
, u < -v, 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, 2, 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, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [763943/
524288, 1527887/1048576], [0, 0]]]], [[10, 3, 7, 3, 1], [v = 2^(1/2), And(-v <
u,u < -1), 1 < x, And(-u^2-x+1 < y,y < u^2+x-1), z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [2, 2], [0, 0], [-2, -2]]]], [[10, 3, 7, 3, 2], [v = 2^(1/2), And(-v
< u,u < -1), 1 < x, And(-u^2-x+1 < y,y < u^2+x-1), z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [2, 2], [0, 0], [-1417877/2097152, -354469/524288]]]], [[10, 3, 7, 3
, 3], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, And(-u^2-x+1 < y,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], [0, 0], [0, 0]
]]], [[10, 3, 7, 3, 4], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, And(-u^2-x+1
< y,y < u^2+x-1), z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [0, 0], [354469/
524288, 708939/1048576]]]], [[10, 3, 7, 3, 5], [v = 2^(1/2), And(-v < u,u < -1
), 1 < x, And(-u^2-x+1 < y,y < u^2+x-1), (u^2-1)^(1/2) < z], [regular_chain, [
[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [2, 2]
, [0, 0], [2, 2]]]], [[10, 7, 5, 5, 1], [v = 2^(1/2), And(0 < u,u < 1), And(-u
^2+1 < x,x < 1), u^2+x-1 < y, z = z], [regular_chain, [[741455/524288, 1482911
/1048576], [1/2, 1/2], [7/8, 7/8], [2, 2], [0, 0]]]], [[11, 7, 7, 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, u^2-v^2+x+
1 < y, z = z], [regular_chain, [[3, 3], [0, 0], [9, 9], [2, 2], [0, 0]]]], [[
11, 11, 6, 2, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 1, y = -u^2+
v^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [1, 1], [-391287/262144, -1565147/1048576], [-2, -2]]]], [[
11, 11, 6, 2, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 1, y = -u^2+
v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [1, 1], [-391287/262144, -1565147/1048576], [-735979/1048576
, -1471957/2097152]]]], [[11, 11, 6, 2, 3], [2^(1/2) < v, And((v^2-1)^(1/2) <
u,u < v), x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1
/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1, 1], [-\
391287/262144, -1565147/1048576], [-1/4194304, -1/4194304]]]], [[11, 11, 6, 2,
4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 1, y = -u^2+v^2-2, z = (u^
2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152],
[1, 1], [-391287/262144, -1565147/1048576], [367989/524288, 735979/1048576]]]]
, [[11, 11, 6, 2, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 1, y = -
u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152,
6111549/2097152], [1, 1], [-391287/262144, -1565147/1048576], [2, 2]]]], [[1,
4, 6, 5, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 1, 1 < y, z < 0], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [1, 1], [2, 2
], [-1, -1]]]], [[1, 4, 6, 5, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 1, 1
< y, z = 0], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304],
[1, 1], [2, 2], [0, 0]]]], [[1, 4, 6, 5, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2)
, x = 1, 1 < y, 0 < z], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [1, 1], [2, 2], [1, 1]]]], [[1, 8, 5, 2, 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]]]], [[2, 7, 1, 5, 1], [
v = -2^(1/2), And(0 < u,u < 1), x < -1, -u^2-x+1 < y, z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [1/2, 1/2], [-2, -2], [4, 4], [0, 0]]]],
[[2, 10, 5, 2, 1], [v = -2^(1/2), u = -v, 1 < x, y = -1-x, z < -1], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [2, 2], [-3, -3], [-2, -2]]]], [[2, 10, 5, 2, 2], [v = -2^(1/2), u =
-v, 1 < x, y = -1-x, z = -1], [regular_chain, [[-1482911/1048576, -741455/
524288], [741455/524288, 1482911/1048576], [2, 2], [-3, -3], [-1, -1]]]], [[2,
10, 5, 2, 3], [v = -2^(1/2), u = -v, 1 < x, y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [2, 2], [-3, -3], [0, 0]]]], [[2, 10, 5, 2, 4], [v = -2^(1/2), u = -
v, 1 < x, y = -1-x, z = 1], [regular_chain, [[-1482911/1048576, -741455/524288
], [741455/524288, 1482911/1048576], [2, 2], [-3, -3], [1, 1]]]], [[2, 10, 5,
2, 5], [v = -2^(1/2), u = -v, 1 < x, y = -1-x, 1 < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [2, 2], [-\
3, -3], [2, 2]]]], [[4, 5, 5, 2, 1], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x
< 1), y = -u^2-x, z < -u], [regular_chain, [[-1, -1], [1/2, 1/2], [3/8, 3/8],
[-5/8, -5/8], [-2, -2]]]], [[4, 5, 5, 2, 2], [v = -1, And(0 < u,u < 1), And(-u
^2 < x,x < 1), y = -u^2-x, z = -u], [regular_chain, [[-1, -1], [1/2, 1/2], [3/
8, 3/8], [-5/8, -5/8], [-1/2, -1/2]]]], [[4, 5, 5, 2, 3], [v = -1, And(0 < u,u
< 1), And(-u^2 < x,x < 1), y = -u^2-x, And(-u < z,z < u)], [regular_chain, [[-\
1, -1], [1/2, 1/2], [3/8, 3/8], [-5/8, -5/8], [0, 0]]]], [[4, 5, 5, 2, 4], [v
= -1, And(0 < u,u < 1), And(-u^2 < x,x < 1), y = -u^2-x, z = u], [
regular_chain, [[-1, -1], [1/2, 1/2], [3/8, 3/8], [-5/8, -5/8], [1/2, 1/2]]]],
[[4, 5, 5, 2, 5], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 1), y = -u^2-x,
u < z], [regular_chain, [[-1, -1], [1/2, 1/2], [3/8, 3/8], [-5/8, -5/8], [2, 2
]]]], [[5, 2, 3, 4, 1], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 1), y = x+1,
z < -1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [1, 1], [-2, -2]
]]], [[5, 2, 3, 4, 2], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 1), y = x+1,
z = -1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [1, 1], [-1, -1]
]]], [[5, 2, 3, 4, 3], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 1), y = x+1,
And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [1, 1
], [0, 0]]]], [[5, 2, 3, 4, 4], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 1),
y = x+1, z = 1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [1, 1],
[1, 1]]]], [[5, 2, 3, 4, 5], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 1), y =
x+1, 1 < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [1, 1], [2,
2]]]], [[8, 1, 2, 2, 1], [v = 1, u < -1, x = -u^2, y = 0, z < u], [
regular_chain, [[1, 1], [-2, -2], [-4, -4], [0, 0], [-3, -3]]]], [[8, 1, 2, 2,
2], [v = 1, u < -1, x = -u^2, y = 0, z = u], [regular_chain, [[1, 1], [-2, -2]
, [-4, -4], [0, 0], [-2, -2]]]], [[8, 1, 2, 2, 3], [v = 1, u < -1, x = -u^2, y
= 0, And(u < z,z < -u)], [regular_chain, [[1, 1], [-2, -2], [-4, -4], [0, 0],
[0, 0]]]], [[8, 1, 2, 2, 4], [v = 1, u < -1, x = -u^2, y = 0, z = -u], [
regular_chain, [[1, 1], [-2, -2], [-4, -4], [0, 0], [2, 2]]]], [[8, 1, 2, 2, 5
], [v = 1, u < -1, x = -u^2, y = 0, -u < z], [regular_chain, [[1, 1], [-2, -2]
, [-4, -4], [0, 0], [3, 3]]]], [[8, 4, 7, 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, 4,
7, 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, 4, 7, 4, 3], [v = 1, u = 0, 1 < x, y = x, 0
< z], [regular_chain, [[1, 1], [0, 0], [2, 2], [2, 2], [1, 1]]]], [[10, 11, 2,
3, 1], [v = 2^(1/2), v < u, x = -u^2+1, 0 < y, z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-8, -8], [1, 1], [-\
4, -4]]]], [[10, 11, 2, 3, 2], [v = 2^(1/2), v < u, x = -u^2+1, 0 < y, z = -(u
^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-8,
-8], [1, 1], [-2965821/1048576, -11863283/4194304]]]], [[10, 11, 2, 3, 3], [v
= 2^(1/2), v < u, x = -u^2+1, 0 < y, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))
], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-8, -8], [1, 1]
, [-3/8388608, -3/8388608]]]], [[10, 11, 2, 3, 4], [v = 2^(1/2), v < u, x = -u
^2+1, 0 < y, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [-8, -8], [1, 1], [741455/262144, 2965821/1048576]]]], [[10,
11, 2, 3, 5], [v = 2^(1/2), v < u, x = -u^2+1, 0 < y, (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-8, -8], [1, 1], [4
, 4]]]], [[11, 3, 7, 5, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 <
x, u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [2, 2], [4, 4], [-2, -2]]]], [[11, 3, 7, 5
, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [2, 2], [4, 4], [-735979/1048576, -1471957/2097152]]]], [[11, 3, 7,
5, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, u^2-v^2+x+1 < y, 
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], [4, 4], [-1/4194304, -1/4194304]]
]], [[11, 3, 7, 5, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, u^
2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [2, 2], [4, 4], [367989/524288, 735979/1048576]]]]
, [[11, 3, 7, 5, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, u^2-
v^2+x+1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [2, 2], [4, 4], [2, 2]]]], [[1, 12, 1, 4, 1], [v <
-2^(1/2), u = -v, x < -1, y = -1-x, z < -1], [regular_chain, [[-3, -3], [3, 3]
, [-2, -2], [1, 1], [-2, -2]]]], [[1, 12, 1, 4, 2], [v < -2^(1/2), u = -v, x <
-1, y = -1-x, z = -1], [regular_chain, [[-3, -3], [3, 3], [-2, -2], [1, 1], [-\
1, -1]]]], [[1, 12, 1, 4, 3], [v < -2^(1/2), u = -v, x < -1, y = -1-x, And(-1
< z,z < 1)], [regular_chain, [[-3, -3], [3, 3], [-2, -2], [1, 1], [0, 0]]]], [
[1, 12, 1, 4, 4], [v < -2^(1/2), u = -v, x < -1, y = -1-x, z = 1], [
regular_chain, [[-3, -3], [3, 3], [-2, -2], [1, 1], [1, 1]]]], [[1, 12, 1, 4,
5], [v < -2^(1/2), u = -v, x < -1, y = -1-x, 1 < z], [regular_chain, [[-3, -3]
, [3, 3], [-2, -2], [1, 1], [2, 2]]]], [[2, 3, 2, 1, 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], [-2, -2], [-2, -2]]]], [[2, 3, 2, 1, 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], [-2, -2], [-\
1417877/2097152, -354469/524288]]]], [[2, 3, 2, 1, 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], [-2, -2], [0, 0]]]], [[2, 3, 2, 1, 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], [-2, -2], [354469/524288, 708939/1048576]]]], [[2, 3, 2, 1, 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], [-2, -2], [2, 2]]]], [[3, 3, 3, 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], [149551/524288, 299103/1048576], [-2, -2]]]], [[3, 3, 3, 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], [149551/524288, 299103/1048576], [-1374407
/2097152, -687203/1048576]]]], [[3, 3, 3, 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], [149551/524288, 299103/1048576], [0, 0]]]], [[3, 3
, 3, 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], [149551/524288, 299103/1048576], [687203/
1048576, 171801/262144]]]], [[3, 3, 3, 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], [
149551/524288, 299103/1048576], [2, 2]]]], [[3, 6, 7, 1, 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], [-3, -3]
, [-1, -1]]]], [[3, 6, 7, 1, 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], [-3, -3], [0, 0]]]], [[3, 6, 7, 1, 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], [-3, -3], [1, 1]]]], [[6, 1, 2, 1, 1], [v = 0, u < 0, x = -u
^2-1, y < 0, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-2, -2],
[-1, -1], [-3, -3]]]], [[6, 1, 2, 1, 2], [v = 0, u < 0, x = -u^2-1, y < 0, z =
-(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-2, -2], [-1, -1], [-\
1482911/1048576, -741455/524288]]]], [[6, 1, 2, 1, 3], [v = 0, 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, -1], [-2, -2], [-1, -1], [0, 0]]]], [[6, 1, 2, 1, 4], [v = 0, u < 0, x
= -u^2-1, y < 0, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-2, -\
2], [-1, -1], [741455/524288, 1482911/1048576]]]], [[6, 1, 2, 1, 5], [v = 0, u
< 0, x = -u^2-1, y < 0, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1],
[-2, -2], [-1, -1], [3, 3]]]], [[7, 1, 7, 3, 1], [And(0 < v,v < 1), u < -v, 1
< x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-2, -2], [2, 2], [0, 0], [-4, -4]]]], [[7, 1, 7,
3, 2], [And(0 < v,v < 1), u < -v, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1)
, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2], [2, 2], [0,
0], [-2285319/1048576, -1142659/524288]]]], [[7, 1, 7, 3, 3], [And(0 < v,v < 1
), u < -v, 1 < x, And(-u^2+v^2-x-1 < y,y < u^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], [-2, -2], [2, 2],
[0, 0], [0, 0]]]], [[7, 1, 7, 3, 4], [And(0 < v,v < 1), u < -v, 1 < x, And(-u^
2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2,
1/2], [-2, -2], [2, 2], [0, 0], [1142659/524288, 2285319/1048576]]]], [[7, 1,
7, 3, 5], [And(0 < v,v < 1), u < -v, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x
+1), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-2, -2], [2, 2], [0
, 0], [4, 4]]]], [[9, 1, 4, 3, 1], [And(1 < v,v < 2^(1/2)), u < -v, x = -1, 
And(-u^2+v^2 < y,y < u^2-v^2), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [0, 0], [-4, -4]]]], [[
9, 1, 4, 3, 2], [And(1 < v,v < 2^(1/2)), u < -v, x = -1, And(-u^2+v^2 < y,y <
u^2-v^2), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-1, -1], [0, 0], [-1532401/524288, -24518415/8388608]]]],
[[9, 1, 4, 3, 3], [And(1 < v,v < 2^(1/2)), u < -v, x = -1, And(-u^2+v^2 < y,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], [0, 0], [-7/
16777216, -7/16777216]]]], [[9, 1, 4, 3, 4], [And(1 < v,v < 2^(1/2)), u < -v,
x = -1, And(-u^2+v^2 < y,y < u^2-v^2), z = (u^2-v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [0, 0], [3064801/
1048576, 1532401/524288]]]], [[9, 1, 4, 3, 5], [And(1 < v,v < 2^(1/2)), u < -v
, x = -1, And(-u^2+v^2 < y,y < u^2-v^2), (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [0, 0]
, [4, 4]]]], [[9, 5, 2, 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 < -u^2+v^2), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [0, 0],
[0, 0]]]], [[10, 3, 7, 4, 1], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, y = u^2
+x-1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1265743/1048576, -1265743/1048576], [2, 2], [1288231/524288, 2576463/1048576
], [-2, -2]]]], [[10, 3, 7, 4, 2], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, y
= u^2+x-1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [1288231/524288, 
2576463/1048576], [-1417877/2097152, -354469/524288]]]], [[10, 3, 7, 4, 3], [v
= 2^(1/2), And(-v < u,u < -1), 1 < x, y = u^2+x-1, And(-(u^2-1)^(1/2) < z,z <
(u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [2, 2], [1288231/524288, 2576463/1048576], [0, 0]]
]], [[10, 3, 7, 4, 4], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, y = u^2+x-1, z
= (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743
/1048576, -1265743/1048576], [2, 2], [1288231/524288, 2576463/1048576], [
354469/524288, 708939/1048576]]]], [[10, 3, 7, 4, 5], [v = 2^(1/2), And(-v < u
,u < -1), 1 < x, y = u^2+x-1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [
1288231/524288, 2576463/1048576], [2, 2]]]], [[10, 7, 6, 1, 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], [-2, -2], [0, 0]]]], [[11, 7, 7, 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, 11, 6, 1, 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], [-3, -3], [-2, -2]]]], [[11, 11, 6, 1, 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], [-3,
-3], [-735979/1048576, -1471957/2097152]]]], [[11, 11, 6, 1, 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], [-3, -3], [-1/4194304, -1/4194304]]]], [[11, 11, 6, 1, 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
], [-3, -3], [367989/524288, 735979/1048576]]]], [[11, 11, 6, 1, 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], [-3,
-3], [2, 2]]]], [[1, 12, 3, 1, 1], [v < -2^(1/2), u = -v, And(-1 < x,x < 1), y
< -1-x, z < -1], [regular_chain, [[-3, -3], [3, 3], [0, 0], [-2, -2], [-2, -2]
]]], [[1, 12, 3, 1, 2], [v < -2^(1/2), u = -v, And(-1 < x,x < 1), y < -1-x, z
= -1], [regular_chain, [[-3, -3], [3, 3], [0, 0], [-2, -2], [-1, -1]]]], [[1,
12, 3, 1, 3], [v < -2^(1/2), u = -v, And(-1 < x,x < 1), y < -1-x, And(-1 < z,z
< 1)], [regular_chain, [[-3, -3], [3, 3], [0, 0], [-2, -2], [0, 0]]]], [[1, 12
, 3, 1, 4], [v < -2^(1/2), u = -v, And(-1 < x,x < 1), y < -1-x, z = 1], [
regular_chain, [[-3, -3], [3, 3], [0, 0], [-2, -2], [1, 1]]]], [[1, 12, 3, 1,
5], [v < -2^(1/2), u = -v, And(-1 < x,x < 1), y < -1-x, 1 < z], [regular_chain
, [[-3, -3], [3, 3], [0, 0], [-2, -2], [2, 2]]]], [[2, 3, 2, 2, 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, 3, 2, 2, 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, 3, 2, 2, 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, 3, 2, 2, 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, 3, 2, 2, 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]]]], [[3, 3, 5, 3, 1], [And(-2^(1/2)
< v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(-u^
2+v^2-x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [
299103/1048576, 299103/1048576], [-1/4194304, -1/4194304], [-2, -2]]]], [[3, 3
, 5, 3, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2
+v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304,
-3949363/4194304], [299103/1048576, 299103/1048576], [-1/4194304, -1/4194304],
[-1374407/2097152, -687203/1048576]]]], [[3, 3, 5, 3, 3], [And(-2^(1/2) < v,v
< -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2-
x-1 < y,y < u^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], [299103/1048576, 299103/1048576], [-1/4194304, -1/4194304],
[0, 0]]]], [[3, 3, 5, 3, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)
^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z =
(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [299103/1048576, 299103/1048576], [-1/
4194304, -1/4194304], [687203/1048576, 171801/262144]]]], [[3, 3, 5, 3, 5], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x
< 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [299103/1048576, 299103/1048576], [-1/4194304, -1/4194304],
[2, 2]]]], [[3, 6, 7, 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, 6, 7, 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, 6, 7, 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]]]], [[6, 1, 3, 3, 1], [v = 0, u < 0, And(-u^2-1 < x,x < -1), And(-u^2-x-\
1 < y,y < u^2+x+1), z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-\
3/2, -3/2], [0, 0], [-3, -3]]]], [[6, 1, 3, 3, 2], [v = 0, u < 0, And(-u^2-1 <
x,x < -1), And(-u^2-x-1 < y,y < u^2+x+1), z = -(u^2+1)^(1/2)], [regular_chain,
[[0, 0], [-1, -1], [-3/2, -3/2], [0, 0], [-1482911/1048576, -741455/524288]]]]
, [[6, 1, 3, 3, 3], [v = 0, u < 0, And(-u^2-1 < x,x < -1), And(-u^2-x-1 < y,y
< u^2+x+1), And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0
], [-1, -1], [-3/2, -3/2], [0, 0], [0, 0]]]], [[6, 1, 3, 3, 4], [v = 0, u < 0,
And(-u^2-1 < x,x < -1), And(-u^2-x-1 < y,y < u^2+x+1), z = (u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-3/2, -3/2], [0, 0], [741455/524288, 
1482911/1048576]]]], [[6, 1, 3, 3, 5], [v = 0, u < 0, And(-u^2-1 < x,x < -1),
And(-u^2-x-1 < y,y < u^2+x+1), (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-\
1, -1], [-3/2, -3/2], [0, 0], [3, 3]]]], [[7, 1, 7, 4, 1], [And(0 < v,v < 1),
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], [-2, -2], [2, 2], [27/4, 27/4], [-4, -4]]]], [[7, 1, 7, 4, 2], [And(0
< v,v < 1), 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], [-2, -2], [2, 2], [27/4, 27/4], [-2285319/1048576,
-1142659/524288]]]], [[7, 1, 7, 4, 3], [And(0 < v,v < 1), 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], [-2, -2], [2, 2], [27/4, 27/4], [0, 0]]]], [[7, 1, 7, 4, 4], [
And(0 < v,v < 1), 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], [-2, -2], [2, 2], [27/4, 27/4], [1142659/524288, 
2285319/1048576]]]], [[7, 1, 7, 4, 5], [And(0 < v,v < 1), 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], [-2, -2], [2,
2], [27/4, 27/4], [4, 4]]]], [[9, 1, 5, 5, 1], [And(1 < v,v < 2^(1/2)), u < -v
, And(-1 < x,x < 1), u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3, -3], [0, 0], [10, 10], [-4, -4]]]],
[[9, 1, 5, 5, 2], [And(1 < v,v < 2^(1/2)), u < -v, And(-1 < x,x < 1), u^2-v^2+
x+1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [0, 0], [10, 10], [-1532401/524288, -24518415/8388608]]]],
[[9, 1, 5, 5, 3], [And(1 < v,v < 2^(1/2)), u < -v, And(-1 < x,x < 1), u^2-v^2+
x+1 < y, 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], [10, 10], [-7/16777216,
-7/16777216]]]], [[9, 1, 5, 5, 4], [And(1 < v,v < 2^(1/2)), u < -v, And(-1 < x
,x < 1), u^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [0, 0], [10, 10], [3064801/1048576, 
1532401/524288]]]], [[9, 1, 5, 5, 5], [And(1 < v,v < 2^(1/2)), u < -v, And(-1
< x,x < 1), u^2-v^2+x+1 < y, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-3, -3], [0, 0], [10, 10], [4, 4]]]], [[9, 5, 3,
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 < -u^2+v^2-1), y < u^2-v^2+x+1, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-284633/1048576, -284633/1048576], [-2, -2
], [0, 0]]]], [[10, 3, 7, 1, 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], [-4, -4], [-2, -2]]]],
[[10, 3, 7, 1, 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], [-4, -4], [-1417877/2097152, -354469/
524288]]]], [[10, 3, 7, 1, 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], [-4, -\
4], [0, 0]]]], [[10, 3, 7, 1, 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], [-4, -4], [354469/524288, 
708939/1048576]]]], [[10, 3, 7, 1, 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], [-4, -4], [2, 2]]]], [
[10, 7, 4, 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]]]], [[11, 7, 7, 3, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^
2-2)^(1/2)), -u^2+v^2-1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = z], [
regular_chain, [[3, 3], [0, 0], [9, 9], [0, 0], [0, 0]]]], [[11, 11, 5, 1, 1],
[2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 1), y < -u^
2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152,
6111549/2097152], [532005/2097152, 532005/2097152], [-2, -2], [-2, -2]]]], [[
11, 11, 5, 1, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 <
x,x < 1), y < -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3],
[6111549/2097152, 6111549/2097152], [532005/2097152, 532005/2097152], [-2, -2]
, [-735979/1048576, -1471957/2097152]]]], [[11, 11, 5, 1, 3], [2^(1/2) < v, 
And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 1), y < -u^2+v^2-x-1, And
(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [532005/2097152, 532005/2097152], [-2, -2],
[-1/4194304, -1/4194304]]]], [[11, 11, 5, 1, 4], [2^(1/2) < v, And((v^2-1)^(1/
2) < u,u < v), And(-u^2+v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z = (u^2-v^2+1)^(1
/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [532005/
2097152, 532005/2097152], [-2, -2], [367989/524288, 735979/1048576]]]], [[11,
11, 5, 1, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x
< 1), y < -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [532005/2097152, 532005/2097152], [-2, -2],
[2, 2]]]], [[1, 4, 6, 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, 4, 6, 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, 4, 6, 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, 8, 3, 3
, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-1 < x,x < 1), And(x-1 < y,y < -x+
1), z = z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [0, 0],
[0, 0], [0, 0]]]], [[2, 7, 1, 4, 1], [v = -2^(1/2), And(0 < u,u < 1), x < -1,
y = -u^2-x+1, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/
2, 1/2], [-2, -2], [11/4, 11/4], [0, 0]]]], [[2, 10, 4, 2, 1], [v = -2^(1/2),
u = -v, x = 1, y = -2, z < -1], [regular_chain, [[-1482911/1048576, -741455/
524288], [741455/524288, 1482911/1048576], [1, 1], [-2, -2], [-2, -2]]]], [[2,
10, 4, 2, 2], [v = -2^(1/2), u = -v, x = 1, y = -2, z = -1], [regular_chain, [
[-1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [1, 1],
[-2, -2], [-1, -1]]]], [[2, 10, 4, 2, 3], [v = -2^(1/2), u = -v, x = 1, y = -2
, And(-1 < z,z < 1)], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [1, 1], [-2, -2], [0, 0]]]], [[2, 10, 4, 2, 4
], [v = -2^(1/2), u = -v, x = 1, y = -2, z = 1], [regular_chain, [[-1482911/
1048576, -741455/524288], [741455/524288, 1482911/1048576], [1, 1], [-2, -2],
[1, 1]]]], [[2, 10, 4, 2, 5], [v = -2^(1/2), u = -v, x = 1, y = -2, 1 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [1, 1], [-2, -2], [2, 2]]]], [[4, 5, 4, 2, 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, 5, 4, 2, 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, 5, 4, 2, 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, 5, 4, 2, 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, 5, 4, 2, 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]]]], [[5, 2
, 1, 5, 1], [And(-1 < v,v < 0), u = v, x < -1, -1-x < y, z < -1], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [2, 2], [-2, -2]]]], [[5
, 2, 1, 5, 2], [And(-1 < v,v < 0), u = v, x < -1, -1-x < y, z = -1], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [2, 2], [-1, -1]]]], [[5
, 2, 1, 5, 3], [And(-1 < v,v < 0), u = v, x < -1, -1-x < y, And(-1 < z,z < 1)]
, [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [2, 2], [0, 0]]]], [[
5, 2, 1, 5, 4], [And(-1 < v,v < 0), u = v, x < -1, -1-x < y, z = 1], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [2, 2], [1, 1]]]], [[5,
2, 1, 5, 5], [And(-1 < v,v < 0), u = v, x < -1, -1-x < y, 1 < z], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [2, 2], [2, 2]]]], [[8,
1, 2, 1, 1], [v = 1, u < -1, x = -u^2, y < 0, z < u], [regular_chain, [[1, 1],
[-2, -2], [-4, -4], [-1, -1], [-3, -3]]]], [[8, 1, 2, 1, 2], [v = 1, u < -1, x
= -u^2, y < 0, z = u], [regular_chain, [[1, 1], [-2, -2], [-4, -4], [-1, -1],
[-2, -2]]]], [[8, 1, 2, 1, 3], [v = 1, u < -1, x = -u^2, y < 0, And(u < z,z <
-u)], [regular_chain, [[1, 1], [-2, -2], [-4, -4], [-1, -1], [0, 0]]]], [[8, 1
, 2, 1, 4], [v = 1, u < -1, x = -u^2, y < 0, z = -u], [regular_chain, [[1, 1],
[-2, -2], [-4, -4], [-1, -1], [2, 2]]]], [[8, 1, 2, 1, 5], [v = 1, u < -1, x =
-u^2, y < 0, -u < z], [regular_chain, [[1, 1], [-2, -2], [-4, -4], [-1, -1], [
3, 3]]]], [[8, 4, 6, 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, 4, 6, 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, 4, 6, 4, 3], [v = 1, u = 0, x = 1, y = 1, 0 < z], [
regular_chain, [[1, 1], [0, 0], [1, 1], [1, 1], [1, 1]]]], [[10, 11, 3, 5, 1],
[v = 2^(1/2), v < u, And(-u^2+1 < x,x < -1), u^2+x-1 < y, z < -(u^2-1)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9/2, -9/2], [5, 5
], [-4, -4]]]], [[10, 11, 3, 5, 2], [v = 2^(1/2), v < u, And(-u^2+1 < x,x < -1
), u^2+x-1 < y, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [-9/2, -9/2], [5, 5], [-2965821/1048576, -11863283/4194304]]
]], [[10, 11, 3, 5, 3], [v = 2^(1/2), v < u, And(-u^2+1 < x,x < -1), u^2+x-1 <
y, 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], [5, 5], [-3/8388608, -3/8388608]]]],
[[10, 11, 3, 5, 4], [v = 2^(1/2), v < u, And(-u^2+1 < x,x < -1), u^2+x-1 < y,
z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3],
[-9/2, -9/2], [5, 5], [741455/262144, 2965821/1048576]]]], [[10, 11, 3, 5, 5],
[v = 2^(1/2), v < u, And(-u^2+1 < x,x < -1), u^2+x-1 < y, (u^2-1)^(1/2) < z],
[regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9/2, -9/2], [5, 5
], [4, 4]]]], [[11, 4, 1, 1, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -1, y <
x, z < 0], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-2
, -2], [-3, -3], [-1, -1]]]], [[11, 4, 1, 1, 2], [2^(1/2) < v, u = -(v^2-1)^(1
/2), x < -1, y < x, z = 0], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [-2, -2], [-3, -3], [0, 0]]]], [[11, 4, 1, 1, 3], [2^(1/2)
< v, u = -(v^2-1)^(1/2), x < -1, y < x, 0 < z], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [-2, -2], [-3, -3], [1, 1]]]], [[1, 12, 3
, 2, 1], [v < -2^(1/2), u = -v, And(-1 < x,x < 1), y = -1-x, z < -1], [
regular_chain, [[-3, -3], [3, 3], [0, 0], [-1, -1], [-2, -2]]]], [[1, 12, 3, 2
, 2], [v < -2^(1/2), u = -v, And(-1 < x,x < 1), y = -1-x, z = -1], [
regular_chain, [[-3, -3], [3, 3], [0, 0], [-1, -1], [-1, -1]]]], [[1, 12, 3, 2
, 3], [v < -2^(1/2), u = -v, And(-1 < x,x < 1), y = -1-x, And(-1 < z,z < 1)],
[regular_chain, [[-3, -3], [3, 3], [0, 0], [-1, -1], [0, 0]]]], [[1, 12, 3, 2,
4], [v < -2^(1/2), u = -v, And(-1 < x,x < 1), y = -1-x, z = 1], [regular_chain
, [[-3, -3], [3, 3], [0, 0], [-1, -1], [1, 1]]]], [[1, 12, 3, 2, 5], [v < -2^(
1/2), u = -v, And(-1 < x,x < 1), y = -1-x, 1 < z], [regular_chain, [[-3, -3],
[3, 3], [0, 0], [-1, -1], [2, 2]]]], [[2, 3, 2, 3, 1], [v = -2^(1/2), And(v <
u,u < -1), x = -1, And(u^2-2 < y,y < -u^2+2), z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [0, 0], [-2, -2]]]], [[2, 3, 2, 3, 2], [v = -2^(1/
2), And(v < u,u < -1), x = -1, And(u^2-2 < y,y < -u^2+2), z = -(u^2-1)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [0, 0], [-1417877/2097152, -354469/524288]]]], [[2
, 3, 2, 3, 3], [v = -2^(1/2), And(v < u,u < -1), x = -1, And(u^2-2 < y,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], [0,
0], [0, 0]]]], [[2, 3, 2, 3, 4], [v = -2^(1/2), And(v < u,u < -1), x = -1, And
(u^2-2 < y,y < -u^2+2), z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1265743/1048576, -1265743/1048576], [-1, -1], [0, 0], [
354469/524288, 708939/1048576]]]], [[2, 3, 2, 3, 5], [v = -2^(1/2), And(v < u,
u < -1), x = -1, And(u^2-2 < y,y < -u^2+2), (u^2-1)^(1/2) < z], [regular_chain
, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [
-1, -1], [0, 0], [2, 2]]]], [[3, 3, 5, 2, 1], [And(-2^(1/2) < v,v < -1), And(v
< u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^
2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [299103/1048576, 299103/1048576], [-374737
/524288, -1498947/2097152], [-2, -2]]]], [[3, 3, 5, 2, 2], [And(-2^(1/2) < v,v
< -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-
x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [299103/1048576, 299103/
1048576], [-374737/524288, -1498947/2097152], [-1374407/2097152, -687203/
1048576]]]], [[3, 3, 5, 2, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-\
1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2)
< z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [299103/1048576, 299103/
1048576], [-374737/524288, -1498947/2097152], [0, 0]]]], [[3, 3, 5, 2, 4], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x
< 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [299103/
1048576, 299103/1048576], [-374737/524288, -1498947/2097152], [687203/1048576,
171801/262144]]]], [[3, 3, 5, 2, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u <
-(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2
) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [299103/1048576, 299103/1048576], [-374737/524288,
-1498947/2097152], [2, 2]]]], [[3, 6, 7, 3, 1], [And(-2^(1/2) < v,v < -1), u =
(v^2-1)^(1/2), 1 < x, And(-x < y,y < x), z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [2, 2], [0, 0], [
-1, -1]]]], [[3, 6, 7, 3, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), 1
< x, And(-x < y,y < x), z = 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [354469/524288, 708939/1048576], [2, 2], [0, 0], [0, 0]]]], [[3, 6,
7, 3, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), 1 < x, And(-x < y,y <
x), 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/
524288, 708939/1048576], [2, 2], [0, 0], [1, 1]]]], [[6, 1, 3, 4, 1], [v = 0,
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, -1], [-3/2, -3/2], [1/2, 1/2], [-3, -3]]]], [[6,
1, 3, 4, 2], [v = 0, 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, -1], [-3/2, -3/2], [1/2, 1/2], [-1482911
/1048576, -741455/524288]]]], [[6, 1, 3, 4, 3], [v = 0, 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, -1], [-3/2, -3/2], [1/2, 1/2], [0, 0]]]], [[6, 1,
3, 4, 4], [v = 0, 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, -1], [-3/2, -3/2], [1/2, 1/2], [741455/
524288, 1482911/1048576]]]], [[6, 1, 3, 4, 5], [v = 0, 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, -1], [-3
/2, -3/2], [1/2, 1/2], [3, 3]]]], [[7, 1, 7, 5, 1], [And(0 < v,v < 1), u < -v,
1 < x, u^2-v^2+x+1 < y, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2],
[-2, -2], [2, 2], [8, 8], [-4, -4]]]], [[7, 1, 7, 5, 2], [And(0 < v,v < 1), u
< -v, 1 < x, u^2-v^2+x+1 < y, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2,
1/2], [-2, -2], [2, 2], [8, 8], [-2285319/1048576, -1142659/524288]]]], [[7, 1
, 7, 5, 3], [And(0 < v,v < 1), u < -v, 1 < x, u^2-v^2+x+1 < y, And(-(u^2-v^2+1
)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-2, -2], [2
, 2], [8, 8], [0, 0]]]], [[7, 1, 7, 5, 4], [And(0 < v,v < 1), u < -v, 1 < x, u
^2-v^2+x+1 < y, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-2, -2],
[2, 2], [8, 8], [1142659/524288, 2285319/1048576]]]], [[7, 1, 7, 5, 5], [And(0
< v,v < 1), u < -v, 1 < x, u^2-v^2+x+1 < y, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-2, -2], [2, 2], [8, 8], [4, 4]]]], [[9, 1, 5, 4,
1], [And(1 < v,v < 2^(1/2)), u < -v, And(-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], [0, 0], [8957873/1048576, 4478937/524288], [-4, -4]]]], [[9, 1, 5, 4, 2],
[And(1 < v,v < 2^(1/2)), u < -v, And(-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],
[0, 0], [8957873/1048576, 4478937/524288], [-1532401/524288, -24518415/8388608
]]]], [[9, 1, 5, 4, 3], [And(1 < v,v < 2^(1/2)), u < -v, And(-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], [0, 0], [8957873
/1048576, 4478937/524288], [-7/16777216, -7/16777216]]]], [[9, 1, 5, 4, 4], [
And(1 < v,v < 2^(1/2)), u < -v, And(-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], [
0, 0], [8957873/1048576, 4478937/524288], [3064801/1048576, 1532401/524288]]]]
, [[9, 1, 5, 4, 5], [And(1 < v,v < 2^(1/2)), u < -v, And(-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], [0, 0], [8957873/1048576, 4478937/524288], [4, 4]]]], [[9,
5, 2, 5, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)
), x = -1, -u^2+v^2 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [-1, -1], [3, 3], [0, 0]]]], [[10, 3, 7, 2, 1], [v = 2^(1/2)
, And(-v < u,u < -1), 1 < x, y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [2,
2], [-2576463/1048576, -1288231/524288], [-2, -2]]]], [[10, 3, 7, 2, 2], [v =
2^(1/2), And(-v < u,u < -1), 1 < x, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [2, 2], [-2576463/1048576, -1288231/524288], [-1417877/2097152, -\
354469/524288]]]], [[10, 3, 7, 2, 3], [v = 2^(1/2), And(-v < u,u < -1), 1 < x,
y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [2, 2],
[-2576463/1048576, -1288231/524288], [0, 0]]]], [[10, 3, 7, 2, 4], [v = 2^(1/2
), And(-v < u,u < -1), 1 < x, y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [2,
2], [-2576463/1048576, -1288231/524288], [354469/524288, 708939/1048576]]]], [
[10, 3, 7, 2, 5], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, y = -u^2-x+1, (u^2-\
1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [2, 2], [-2576463/1048576, -1288231/524288], [2, 2
]]]], [[10, 7, 4, 3, 1], [v = 2^(1/2), And(0 < u,u < 1), x = -u^2+1, 0 < y, z
= z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [3/4, 3/4
], [1, 1], [0, 0]]]], [[11, 7, 7, 2, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,
u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, y = -u^2+v^2-x-1, z = z], [regular_chain,
[[3, 3], [0, 0], [9, 9], [-1, -1], [0, 0]]]], [[11, 11, 4, 3, 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+1)^(1/2)]
, [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-129143/262144
, -516571/1048576], [1, 1], [-2, -2]]]], [[11, 11, 4, 3, 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+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-129143/262144, -\
516571/1048576], [1, 1], [-735979/1048576, -1471957/2097152]]]], [[11, 11, 4,
3, 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+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-129143/262144, -516571/1048576], [1, 1],
[-1/4194304, -1/4194304]]]], [[11, 11, 4, 3, 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+1)^(1/2)], [regular_chain,
[[3, 3], [6111549/2097152, 6111549/2097152], [-129143/262144, -516571/1048576]
, [1, 1], [367989/524288, 735979/1048576]]]], [[11, 11, 4, 3, 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+1)^(1/2) < z],
[regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-129143/262144,
-516571/1048576], [1, 1], [2, 2]]]], [[1, 4, 6, 3, 1], [v < -2^(1/2), u = -(v^
2-1)^(1/2), x = 1, And(-1 < y,y < 1), z < 0], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [1, 1], [0, 0], [-1, -1]]]], [[1, 4, 6, 3
, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 1, And(-1 < y,y < 1), z = 0], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [1, 1], [0, 0
], [0, 0]]]], [[1, 4, 6, 3, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 1, And(
-1 < y,y < 1), 0 < z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283
/4194304], [1, 1], [0, 0], [1, 1]]]], [[1, 8, 3, 4, 1], [v < -2^(1/2), u = (v^
2-2)^(1/2), And(-1 < x,x < 1), y = -x+1, z = z], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [0, 0], [1, 1], [0, 0]]]], [[2, 7, 1, 3, 1], [v
= -2^(1/2), And(0 < u,u < 1), x < -1, And(u^2+x-1 < y,y < -u^2-x+1), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-2, -2], [0,
0], [0, 0]]]], [[2, 10, 4, 1, 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], [-3, -3], [-2, -2]]]], [[2, 10, 4, 1, 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], [-3, -3], [-1, -1]]]
], [[2, 10, 4, 1, 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], [-3, -3], [0, 0]]]], [[2, 10, 4, 1, 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], [-3, -3], [1, 1]]]], [[2, 10, 4, 1
, 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], [-3, -3],
[2, 2]]]], [[4, 5, 4, 3, 1], [v = -1, And(0 < u,u < 1), x = -u^2, 0 < y, z < -
u], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/4, -1/4], [1, 1], [-2, -2]]]],
[[4, 5, 4, 3, 2], [v = -1, And(0 < u,u < 1), x = -u^2, 0 < y, z = -u], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1/4, -1/4], [1, 1], [-1/2, -1/2]]]], [
[4, 5, 4, 3, 3], [v = -1, And(0 < u,u < 1), x = -u^2, 0 < y, And(-u < z,z < u)
], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/4, -1/4], [1, 1], [0, 0]]]], [[4
, 5, 4, 3, 4], [v = -1, And(0 < u,u < 1), x = -u^2, 0 < y, z = u], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1/4, -1/4], [1, 1], [1/2, 1/2]]]], [[4
, 5, 4, 3, 5], [v = -1, And(0 < u,u < 1), x = -u^2, 0 < y, u < z], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1/4, -1/4], [1, 1], [2, 2]]]], [[5, 2,
2, 1, 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], [-1, -1], [-2, -2]]]], [[5, 2, 2, 1, 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], [-1, -1], [-1, -1]]]], [[5, 2, 2, 1, 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], [-1, -1], [0, 0]]]], [[5, 2, 2, 1, 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], [-1, -1], [1, 1]]]], [[5, 2, 2, 1, 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], [-1, -1], [2, 2]]]], [[8, 1, 1, 5, 1], [v = 1, u < -1, x < -u^2, -u^2-x <
y, z < u], [regular_chain, [[1, 1], [-2, -2], [-5, -5], [2, 2], [-3, -3]]]], [
[8, 1, 1, 5, 2], [v = 1, u < -1, x < -u^2, -u^2-x < y, z = u], [regular_chain,
[[1, 1], [-2, -2], [-5, -5], [2, 2], [-2, -2]]]], [[8, 1, 1, 5, 3], [v = 1, u
< -1, x < -u^2, -u^2-x < y, And(u < z,z < -u)], [regular_chain, [[1, 1], [-2,
-2], [-5, -5], [2, 2], [0, 0]]]], [[8, 1, 1, 5, 4], [v = 1, u < -1, x < -u^2,
-u^2-x < y, z = -u], [regular_chain, [[1, 1], [-2, -2], [-5, -5], [2, 2], [2,
2]]]], [[8, 1, 1, 5, 5], [v = 1, u < -1, x < -u^2, -u^2-x < y, -u < z], [
regular_chain, [[1, 1], [-2, -2], [-5, -5], [2, 2], [3, 3]]]], [[8, 4, 6, 3, 1
], [v = 1, u = 0, x = 1, And(-1 < y,y < 1), z < 0], [regular_chain, [[1, 1], [
0, 0], [1, 1], [0, 0], [-1, -1]]]], [[8, 4, 6, 3, 2], [v = 1, u = 0, x = 1, 
And(-1 < y,y < 1), z = 0], [regular_chain, [[1, 1], [0, 0], [1, 1], [0, 0], [0
, 0]]]], [[8, 4, 6, 3, 3], [v = 1, u = 0, x = 1, And(-1 < y,y < 1), 0 < z], [
regular_chain, [[1, 1], [0, 0], [1, 1], [0, 0], [1, 1]]]], [[10, 11, 4, 1, 1],
[v = 2^(1/2), v < u, x = -1, y < -u^2+2, z < -(u^2-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [3, 3], [-1, -1], [-8, -8], [-4, -4]]]], [[
10, 11, 4, 1, 2], [v = 2^(1/2), v < u, x = -1, y < -u^2+2, z = -(u^2-1)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1, -1], [-8, -8
], [-2965821/1048576, -11863283/4194304]]]], [[10, 11, 4, 1, 3], [v = 2^(1/2),
v < 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], [-8, -8],
[-3/8388608, -3/8388608]]]], [[10, 11, 4, 1, 4], [v = 2^(1/2), v < u, x = -1,
y < -u^2+2, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [-1, -1], [-8, -8], [741455/262144, 2965821/1048576]]]], [[
10, 11, 4, 1, 5], [v = 2^(1/2), v < u, x = -1, y < -u^2+2, (u^2-1)^(1/2) < z],
[regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1, -1], [-8, -8],
[4, 4]]]], [[11, 4, 1, 2, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -1, y = x,
z < 0], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-2, -\
2], [-2, -2], [-1, -1]]]], [[11, 4, 1, 2, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2)
, x < -1, y = x, z = 0], [regular_chain, [[3, 3], [-2965821/1048576, -11863283
/4194304], [-2, -2], [-2, -2], [0, 0]]]], [[11, 4, 1, 2, 3], [2^(1/2) < v, u =
-(v^2-1)^(1/2), x < -1, y = x, 0 < z], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [-2, -2], [-2, -2], [1, 1]]]], [[1, 12, 2, 2, 1],
[v < -2^(1/2), u = -v, x = -1, y = 0, z < -1], [regular_chain, [[-3, -3], [3,
3], [-1, -1], [0, 0], [-2, -2]]]], [[1, 12, 2, 2, 2], [v < -2^(1/2), u = -v, x
= -1, y = 0, z = -1], [regular_chain, [[-3, -3], [3, 3], [-1, -1], [0, 0], [-1
, -1]]]], [[1, 12, 2, 2, 3], [v < -2^(1/2), u = -v, x = -1, y = 0, And(-1 < z,
z < 1)], [regular_chain, [[-3, -3], [3, 3], [-1, -1], [0, 0], [0, 0]]]], [[1,
12, 2, 2, 4], [v < -2^(1/2), u = -v, x = -1, y = 0, z = 1], [regular_chain, [[
-3, -3], [3, 3], [-1, -1], [0, 0], [1, 1]]]], [[1, 12, 2, 2, 5], [v < -2^(1/2)
, u = -v, x = -1, y = 0, 1 < z], [regular_chain, [[-3, -3], [3, 3], [-1, -1],
[0, 0], [2, 2]]]], [[2, 3, 2, 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], [569265/1048576, 
284633/524288], [-2, -2]]]], [[2, 3, 2, 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], [569265/
1048576, 284633/524288], [-1417877/2097152, -354469/524288]]]], [[2, 3, 2, 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], [569265/1048576, 284633/524288],
[0, 0]]]], [[2, 3, 2, 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], [569265/1048576, 284633/524288
], [354469/524288, 708939/1048576]]]], [[2, 3, 2, 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], [569265/1048576, 284633/524288], [2, 2]]]], [[3, 3, 5, 1, 1], [And(-2^(1/2
) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y < -
u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [299103/1048576, 
299103/1048576], [-2, -2], [-2, -2]]]], [[3, 3, 5, 1, 2], [And(-2^(1/2) < v,v
< -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y < -u^2+v^2-
x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [299103/1048576, 299103/
1048576], [-2, -2], [-1374407/2097152, -687203/1048576]]]], [[3, 3, 5, 1, 3],
[And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x
< 1), y < -u^2+v^2-x-1, And(-(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], [299103/1048576, 299103/1048576], [-2, -2], [0, 0]]]], [[3,
3, 5, 1, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^
2+v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [
299103/1048576, 299103/1048576], [-2, -2], [687203/1048576, 171801/262144]]]],
[[3, 3, 5, 1, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 
And(-u^2+v^2-1 < x,x < 1), y < -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [299103/1048576, 299103/1048576], [-2, -2], [2, 2]]]], [[3,
7, 1, 1, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x < -1,
y < u^2-v^2+x+1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [987341/1048576, 987341/1048576], [-2, -2], [-3, -3], [-2,
-2]]]], [[3, 7, 1, 1, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u <
-v), x < -1, y < u^2-v^2+x+1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-2, -2]
, [-3, -3], [-1374407/2097152, -687203/1048576]]]], [[3, 7, 1, 1, 3], [And(-2^
(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x < -1, y < u^2-v^2+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], [-3, -\
3], [0, 0]]]], [[3, 7, 1, 1, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2)
< u,u < -v), x < -1, y < u^2-v^2+x+1, z = (u^2-v^2+1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-2,
-2], [-3, -3], [687203/1048576, 171801/262144]]]], [[3, 7, 1, 1, 5], [And(-2^(
1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x < -1, y < u^2-v^2+x+1, (u^2
-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-2, -2], [-3, -3], [2, 2]]]], [[6, 1, 3, 1,
1], [v = 0, 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, -1], [-3/2, -3/2], [-2, -2], [-3, -3]]]], [[6, 1
, 3, 1, 2], [v = 0, 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, -1], [-3/2, -3/2], [-2, -2], [-1482911/
1048576, -741455/524288]]]], [[6, 1, 3, 1, 3], [v = 0, 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, -1], [-3/2, -3/2], [-2, -2], [0, 0]]]], [[6, 1, 3
, 1, 4], [v = 0, 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, -1], [-3/2, -3/2], [-2, -2], [741455/524288,
1482911/1048576]]]], [[6, 1, 3, 1, 5], [v = 0, 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, -1], [-3/2, -3
/2], [-2, -2], [3, 3]]]], [[7, 2, 1, 1, 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], [-2, -2
], [-2, -2]]]], [[7, 2, 1, 1, 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], [-2, -2], [-1, -\
1]]]], [[7, 2, 1, 1, 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], [-2, -2], [0,
0]]]], [[7, 2, 1, 1, 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], [-2, -2], [1, 1]]]], [[7,
2, 1, 1, 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], [-2, -2], [2, 2]]]], [[9,
1, 5, 3, 1], [And(1 < v,v < 2^(1/2)), u < -v, And(-1 < x,x < 1), And(-u^2+v^2-
x-1 < y,y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [0, 0], [0, 0], [-4, -4]]]], [[9, 1, 5, 3
, 2], [And(1 < v,v < 2^(1/2)), u < -v, And(-1 < x,x < 1), And(-u^2+v^2-x-1 < y
,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3, -3], [0, 0], [0, 0], [-1532401/524288, -24518415/
8388608]]]], [[9, 1, 5, 3, 3], [And(1 < v,v < 2^(1/2)), u < -v, And(-1 < x,x <
1), And(-u^2+v^2-x-1 < y,y < u^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]
, [0, 0], [0, 0], [-7/16777216, -7/16777216]]]], [[9, 1, 5, 3, 4], [And(1 < v,
v < 2^(1/2)), u < -v, And(-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1)
, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3, -3], [0, 0], [0, 0], [3064801/1048576, 1532401/524288]]]], [[9, 1, 5, 3,
5], [And(1 < v,v < 2^(1/2)), u < -v, And(-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y
< u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [0, 0], [0, 0], [4, 4]]]], [[9, 5, 3, 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 <
-u^2+v^2-1), And(u^2-v^2+x+1 < y,y < -u^2+v^2-x-1), z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [-284633/1048576, -284633/1048576],
[-1/4194304, -1/4194304], [0, 0]]]], [[10, 3, 6, 4, 1], [v = 2^(1/2), And(-v <
u,u < -1), x = 1, y = u^2, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [
763943/524288, 1527887/1048576], [-2, -2]]]], [[10, 3, 6, 4, 2], [v = 2^(1/2),
And(-v < u,u < -1), x = 1, y = u^2, z = -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [1, 1],
[763943/524288, 1527887/1048576], [-1417877/2097152, -354469/524288]]]], [[10,
3, 6, 4, 3], [v = 2^(1/2), And(-v < u,u < -1), x = 1, y = u^2, And(-(u^2-1)^(1
/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576]
, [-1265743/1048576, -1265743/1048576], [1, 1], [763943/524288, 1527887/
1048576], [0, 0]]]], [[10, 3, 6, 4, 4], [v = 2^(1/2), And(-v < u,u < -1), x =
1, y = u^2, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [763943/524288, 
1527887/1048576], [354469/524288, 708939/1048576]]]], [[10, 3, 6, 4, 5], [v =
2^(1/2), And(-v < u,u < -1), x = 1, y = u^2, (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [1, 1], [763943/524288, 1527887/1048576], [2, 2]]]], [[10, 7, 5, 1,
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],
[-2, -2], [0, 0]]]], [[11, 7, 7, 1, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u
< (v^2-2)^(1/2)), -u^2+v^2-1 < x, y < -u^2+v^2-x-1, z = z], [regular_chain, [[
3, 3], [0, 0], [9, 9], [-2, -2], [0, 0]]]], [[11, 11, 5, 3, 1], [2^(1/2) < v,
And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,
y < u^2-v^2+x+1), z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [532005/2097152, 532005/2097152], [0, 0], [-2, -2]]
]], [[11, 11, 5, 3, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v
^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = -(u^2-v^2+1)^(1/2)
], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [532005/
2097152, 532005/2097152], [0, 0], [-735979/1048576, -1471957/2097152]]]], [[11
, 11, 5, 3, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x
,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^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], [532005/2097152, 532005/2097152], [0, 0], [-1/4194304, -1/4194304]]]
], [[11, 11, 5, 3, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^
2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), z = (u^2-v^2+1)^(1/2)],
[regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [532005/2097152,
532005/2097152], [0, 0], [367989/524288, 735979/1048576]]]], [[11, 11, 5, 3, 5
], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 1), And(
-u^2+v^2-x-1 < y,y < u^2-v^2+x+1), (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3
, 3], [6111549/2097152, 6111549/2097152], [532005/2097152, 532005/2097152], [0
, 0], [2, 2]]]], [[1, 4, 5, 5, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(0 <
x,x < 1), x < y, z < 0], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [1/2, 1/2], [2, 2], [-1, -1]]]], [[1, 4, 5, 5, 2], [v < -2^
(1/2), u = -(v^2-1)^(1/2), And(0 < x,x < 1), x < y, z = 0], [regular_chain, [[
-3, -3], [-2965821/1048576, -11863283/4194304], [1/2, 1/2], [2, 2], [0, 0]]]],
[[1, 4, 5, 5, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(0 < x,x < 1), x < y,
0 < z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [1/2
, 1/2], [2, 2], [1, 1]]]], [[1, 8, 3, 5, 1], [v < -2^(1/2), u = (v^2-2)^(1/2),
And(-1 < x,x < 1), -x+1 < y, z = z], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [0, 0], [2, 2], [0, 0]]]], [[2, 7, 1, 2, 1], [v = -2^(1/
2), And(0 < u,u < 1), x < -1, y = u^2+x-1, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [-2, -2], [-11/4, -11/4], [0, 0]]]], [[2
, 10, 4, 4, 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, 10, 4, 4, 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, 10, 4, 4, 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, 10, 4, 4, 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, 10, 4, 4, 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]]]], [[4, 5, 3, 5, 1],
[v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), -u^2-x < y, z < -u], [
regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [2, 2], [-2, -2]]]], [[4,
5, 3, 5, 2], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), -u^2-x < y, z =
-u], [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [2, 2], [-1/2, -1/2]
]]], [[4, 5, 3, 5, 3], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), -u^2-x
< y, And(-u < z,z < u)], [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8],
[2, 2], [0, 0]]]], [[4, 5, 3, 5, 4], [v = -1, And(0 < u,u < 1), And(-1 < x,x <
-u^2), -u^2-x < y, z = u], [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8]
, [2, 2], [1/2, 1/2]]]], [[4, 5, 3, 5, 5], [v = -1, And(0 < u,u < 1), And(-1 <
x,x < -u^2), -u^2-x < y, u < z], [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8,
-5/8], [2, 2], [2, 2]]]], [[5, 2, 2, 2, 1], [And(-1 < v,v < 0), u = v, x = -1,
y = 0, z < -1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1, -1], [0, 0],
[-2, -2]]]], [[5, 2, 2, 2, 2], [And(-1 < v,v < 0), u = v, x = -1, y = 0, z = -\
1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1, -1], [0, 0], [-1, -1]]]]
, [[5, 2, 2, 2, 3], [And(-1 < v,v < 0), u = v, x = -1, y = 0, And(-1 < z,z < 1
)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1, -1], [0, 0], [0, 0]]]],
[[5, 2, 2, 2, 4], [And(-1 < v,v < 0), u = v, x = -1, y = 0, z = 1], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1, -1], [0, 0], [1, 1]]]], [[5,
2, 2, 2, 5], [And(-1 < v,v < 0), u = v, x = -1, y = 0, 1 < z], [regular_chain,
[[-1/2, -1/2], [-1/2, -1/2], [-1, -1], [0, 0], [2, 2]]]], [[8, 1, 1, 4, 1], [v
= 1, u < -1, x < -u^2, y = -u^2-x, z < u], [regular_chain, [[1, 1], [-2, -2],
[-5, -5], [1, 1], [-3, -3]]]], [[8, 1, 1, 4, 2], [v = 1, u < -1, x < -u^2, y =
-u^2-x, z = u], [regular_chain, [[1, 1], [-2, -2], [-5, -5], [1, 1], [-2, -2]]
]], [[8, 1, 1, 4, 3], [v = 1, u < -1, x < -u^2, y = -u^2-x, And(u < z,z < -u)]
, [regular_chain, [[1, 1], [-2, -2], [-5, -5], [1, 1], [0, 0]]]], [[8, 1, 1, 4
, 4], [v = 1, u < -1, x < -u^2, y = -u^2-x, z = -u], [regular_chain, [[1, 1],
[-2, -2], [-5, -5], [1, 1], [2, 2]]]], [[8, 1, 1, 4, 5], [v = 1, u < -1, x < -
u^2, y = -u^2-x, -u < z], [regular_chain, [[1, 1], [-2, -2], [-5, -5], [1, 1],
[3, 3]]]], [[8, 4, 7, 1, 1], [v = 1, u = 0, 1 < x, y < -x, z < 0], [
regular_chain, [[1, 1], [0, 0], [2, 2], [-3, -3], [-1, -1]]]], [[8, 4, 7, 1, 2
], [v = 1, u = 0, 1 < x, y < -x, z = 0], [regular_chain, [[1, 1], [0, 0], [2,
2], [-3, -3], [0, 0]]]], [[8, 4, 7, 1, 3], [v = 1, u = 0, 1 < x, y < -x, 0 < z
], [regular_chain, [[1, 1], [0, 0], [2, 2], [-3, -3], [1, 1]]]], [[10, 11, 3,
3, 1], [v = 2^(1/2), v < u, And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < u^2+x
-1), z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3, 3], [-9/2, -9/2], [0, 0], [-4, -4]]]], [[10, 11, 3, 3, 2], [v = 2^(1/2), v
< u, And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < u^2+x-1), z = -(u^2-1)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9/2, -9/2], [0
, 0], [-2965821/1048576, -11863283/4194304]]]], [[10, 11, 3, 3, 3], [v = 2^(1/
2), v < u, And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,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], [0, 0], [-3/8388608, -3/8388608]]]], [[10, 11,
3, 3, 4], [v = 2^(1/2), v < u, And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < u^
2+x-1), z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[3, 3], [-9/2, -9/2], [0, 0], [741455/262144, 2965821/1048576]]]], [[10, 11, 3
, 3, 5], [v = 2^(1/2), v < u, And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < u^2
+x-1), (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[3, 3], [-9/2, -9/2], [0, 0], [4, 4]]]], [[11, 4, 1, 3, 1], [2^(1/2) < v, u =
-(v^2-1)^(1/2), x < -1, And(x < y,y < -x), z < 0], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [-2, -2], [0, 0], [-1, -1]]]], [[11, 4, 1
, 3, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -1, And(x < y,y < -x), z = 0],
[regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-2, -2], [0,
0], [0, 0]]]], [[11, 4, 1, 3, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -1, 
And(x < y,y < -x), 0 < z], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [-2, -2], [0, 0], [1, 1]]]], [[1, 12, 2, 3, 1], [v < -2^(1/
2), u = -v, x = -1, 0 < y, z < -1], [regular_chain, [[-3, -3], [3, 3], [-1, -1
], [1, 1], [-2, -2]]]], [[1, 12, 2, 3, 2], [v < -2^(1/2), u = -v, x = -1, 0 <
y, z = -1], [regular_chain, [[-3, -3], [3, 3], [-1, -1], [1, 1], [-1, -1]]]],
[[1, 12, 2, 3, 3], [v < -2^(1/2), u = -v, x = -1, 0 < y, And(-1 < z,z < 1)], [
regular_chain, [[-3, -3], [3, 3], [-1, -1], [1, 1], [0, 0]]]], [[1, 12, 2, 3,
4], [v < -2^(1/2), u = -v, x = -1, 0 < y, z = 1], [regular_chain, [[-3, -3], [
3, 3], [-1, -1], [1, 1], [1, 1]]]], [[1, 12, 2, 3, 5], [v < -2^(1/2), u = -v,
x = -1, 0 < y, 1 < z], [regular_chain, [[-3, -3], [3, 3], [-1, -1], [1, 1], [2
, 2]]]], [[2, 3, 2, 5, 1], [v = -2^(1/2), And(v < u,u < -1), x = -1, -u^2+2 <
y, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
-1265743/1048576, -1265743/1048576], [-1, -1], [2, 2], [-2, -2]]]], [[2, 3, 2,
5, 2], [v = -2^(1/2), And(v < u,u < -1), x = -1, -u^2+2 < y, z = -(u^2-1)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [2, 2], [-1417877/2097152, -354469/524288]]]], [[2
, 3, 2, 5, 3], [v = -2^(1/2), And(v < u,u < -1), x = -1, -u^2+2 < y, 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], [2, 2], [0, 0]]]], [
[2, 3, 2, 5, 4], [v = -2^(1/2), And(v < u,u < -1), x = -1, -u^2+2 < y, z = (u^
2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-1, -1], [2, 2], [354469/524288, 708939/1048576]]
]], [[2, 3, 2, 5, 5], [v = -2^(1/2), And(v < u,u < -1), x = -1, -u^2+2 < y, (u
^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [2, 2], [2, 2]]]], [[3, 3, 4, 3,
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+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -225185/
524288], [1, 1], [-2, -2]]]], [[3, 3, 4, 3, 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+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-450371/1048576, -225185/524288], [1, 1], [-1374407/2097152
, -687203/1048576]]]], [[3, 3, 4, 3, 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+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], [1, 1],
[0, 0]]]], [[3, 3, 4, 3, 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+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
450371/1048576, -225185/524288], [1, 1], [687203/1048576, 171801/262144]]]], [
[3, 3, 4, 3, 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+1)^(1/2) < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -\
225185/524288], [1, 1], [2, 2]]]], [[3, 6, 7, 5, 1], [And(-2^(1/2) < v,v < -1)
, u = (v^2-1)^(1/2), 1 < x, x < y, z < 0], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [354469/524288, 708939/1048576], [2, 2], [3, 3], [-1, -1]]]
], [[3, 6, 7, 5, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), 1 < x, x <
y, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/
524288, 708939/1048576], [2, 2], [3, 3], [0, 0]]]], [[3, 6, 7, 5, 3], [And(-2^
(1/2) < v,v < -1), u = (v^2-1)^(1/2), 1 < x, x < y, 0 < z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [2, 2],
[3, 3], [1, 1]]]], [[6, 1, 3, 2, 1], [v = 0, 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, -1], [-3/2, -3/
2], [-1/2, -1/2], [-3, -3]]]], [[6, 1, 3, 2, 2], [v = 0, 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, -1]
, [-3/2, -3/2], [-1/2, -1/2], [-1482911/1048576, -741455/524288]]]], [[6, 1, 3
, 2, 3], [v = 0, 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, -1], [-3/2, -3/2], [
-1/2, -1/2], [0, 0]]]], [[6, 1, 3, 2, 4], [v = 0, 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, -1], [-3/2,
-3/2], [-1/2, -1/2], [741455/524288, 1482911/1048576]]]], [[6, 1, 3, 2, 5], [v
= 0, 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, -1], [-3/2, -3/2], [-1/2, -1/2], [3, 3]]]], [[7,
2, 1, 2, 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
, 2, 1, 2, 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
, 2, 1, 2, 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,
2, 1, 2, 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,
2, 1, 2, 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]]]], [[9,
1, 5, 2, 1], [And(1 < v,v < 2^(1/2)), u < -v, And(-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], [0, 0], [-4478937/524288, -8957873/1048576], [-4, -4]]]],
[[9, 1, 5, 2, 2], [And(1 < v,v < 2^(1/2)), u < -v, And(-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], [0, 0], [-4478937/524288, -8957873/1048576], [-1532401/
524288, -24518415/8388608]]]], [[9, 1, 5, 2, 3], [And(1 < v,v < 2^(1/2)), u <
-v, And(-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],
[0, 0], [-4478937/524288, -8957873/1048576], [-7/16777216, -7/16777216]]]], [[
9, 1, 5, 2, 4], [And(1 < v,v < 2^(1/2)), u < -v, And(-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], [0, 0], [-4478937/524288, -8957873/1048576], [3064801/
1048576, 1532401/524288]]]], [[9, 1, 5, 2, 5], [And(1 < v,v < 2^(1/2)), u < -v
, And(-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], [0, 0], [-4478937/524288, -\
8957873/1048576], [4, 4]]]], [[9, 5, 3, 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 < -u^2+v^2-1), y = u^2-v^2+x
+1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-\
284633/1048576, -284633/1048576], [-95493/131072, -1527887/2097152], [0, 0]]]]
, [[10, 3, 6, 5, 1], [v = 2^(1/2), And(-v < u,u < -1), x = 1, u^2 < y, z < -(u
^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [1, 1], [3, 3], [-2, -2]]]], [[10, 3, 6, 5, 2], [v
= 2^(1/2), And(-v < u,u < -1), x = 1, u^2 < y, z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [1, 1], [3, 3], [-1417877/2097152, -354469/524288]]]], [[10, 3, 6, 5
, 3], [v = 2^(1/2), And(-v < u,u < -1), x = 1, u^2 < y, 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], [3, 3], [0, 0]]]], [[10, 3, 6, 5,
4], [v = 2^(1/2), And(-v < u,u < -1), x = 1, u^2 < y, z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [1, 1], [3, 3], [354469/524288, 708939/1048576]]]], [[10, 3, 6, 5, 5
], [v = 2^(1/2), And(-v < u,u < -1), x = 1, u^2 < y, (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [1, 1], [3, 3], [2, 2]]]], [[10, 7, 5, 2, 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]]
]], [[11, 7, 6, 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, 0 < y, z = z], [regular_chain, [[3, 3], [0, 0], [8, 8], [1,
1], [0, 0]]]], [[11, 11, 5, 2, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v),
And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [532005/2097152, 
532005/2097152], [-1565149/2097152, -391287/524288], [-2, -2]]]], [[11, 11, 5,
2, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 1),
y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [532005/2097152, 532005/2097152], [-1565149/2097152
, -391287/524288], [-735979/1048576, -1471957/2097152]]]], [[11, 11, 5, 2, 3],
[2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 1), y = -u^
2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain,
[[3, 3], [6111549/2097152, 6111549/2097152], [532005/2097152, 532005/2097152],
[-1565149/2097152, -391287/524288], [-1/4194304, -1/4194304]]]], [[11, 11, 5,
2, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 1),
y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [532005/2097152, 532005/2097152], [-1565149/2097152
, -391287/524288], [367989/524288, 735979/1048576]]]], [[11, 11, 5, 2, 5], [2^
(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v
^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [532005/2097152, 532005/2097152], [-1565149/2097152, -391287
/524288], [2, 2]]]], [[1, 4, 6, 1, 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], [-2, -2], [-1, -1]]]], [[1, 4, 6, 1, 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], [-2, -2], [0, 0]]]], [[1, 4, 6, 1, 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], [-2, -2], [1, 1]]]], [[1, 8
, 4, 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]]]], [[2, 7, 1, 1, 1], [v = -2^(1/2), And(0 < u,u < 1), x < -1, y < u^2+x-1,
z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-2,
-2], [-4, -4], [0, 0]]]], [[2, 10, 4, 3, 1], [v = -2^(1/2), u = -v, x = 1, And
(-2 < y,y < 2), z < -1], [regular_chain, [[-1482911/1048576, -741455/524288],
[741455/524288, 1482911/1048576], [1, 1], [0, 0], [-2, -2]]]], [[2, 10, 4, 3,
2], [v = -2^(1/2), u = -v, x = 1, And(-2 < y,y < 2), z = -1], [regular_chain,
[[-1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [1, 1],
[0, 0], [-1, -1]]]], [[2, 10, 4, 3, 3], [v = -2^(1/2), u = -v, x = 1, And(-2 <
y,y < 2), And(-1 < z,z < 1)], [regular_chain, [[-1482911/1048576, -741455/
524288], [741455/524288, 1482911/1048576], [1, 1], [0, 0], [0, 0]]]], [[2, 10,
4, 3, 4], [v = -2^(1/2), u = -v, x = 1, And(-2 < y,y < 2), z = 1], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [1, 1], [0, 0], [1, 1]]]], [[2, 10, 4, 3, 5], [v = -2^(1/2), u = -v,
x = 1, And(-2 < y,y < 2), 1 < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [741455/524288, 1482911/1048576], [1, 1], [0, 0], [2, 2]]]], [[4, 5,
4, 1, 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], [-1, -1], [-2, -2]]]], [[4, 5, 4, 1, 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], [-1, -1], [-1/2, -1/2]]]], [[4, 5, 4, 1, 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], [-1, -1], [0, 0]]]], [[4, 5, 4, 1, 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], [-1, -1], [1/2, 1/2]]]], [[4, 5, 4, 1, 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], [-1, -1], [2, 2]]]], [[5, 2, 2, 3, 1], [And(-1 < v,v < 0), u = v
, x = -1, 0 < y, z < -1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1, -1
], [1, 1], [-2, -2]]]], [[5, 2, 2, 3, 2], [And(-1 < v,v < 0), u = v, x = -1, 0
< y, z = -1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1, -1], [1, 1], [
-1, -1]]]], [[5, 2, 2, 3, 3], [And(-1 < v,v < 0), u = v, x = -1, 0 < y, And(-1
< z,z < 1)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1, -1], [1, 1], [0
, 0]]]], [[5, 2, 2, 3, 4], [And(-1 < v,v < 0), u = v, x = -1, 0 < y, z = 1], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1, -1], [1, 1], [1, 1]]]], [[5,
2, 2, 3, 5], [And(-1 < v,v < 0), u = v, x = -1, 0 < y, 1 < z], [regular_chain,
[[-1/2, -1/2], [-1/2, -1/2], [-1, -1], [1, 1], [2, 2]]]], [[8, 1, 1, 3, 1], [v
= 1, u < -1, x < -u^2, And(u^2+x < y,y < -u^2-x), z < u], [regular_chain, [[1,
1], [-2, -2], [-5, -5], [0, 0], [-3, -3]]]], [[8, 1, 1, 3, 2], [v = 1, u < -1,
x < -u^2, And(u^2+x < y,y < -u^2-x), z = u], [regular_chain, [[1, 1], [-2, -2]
, [-5, -5], [0, 0], [-2, -2]]]], [[8, 1, 1, 3, 3], [v = 1, u < -1, x < -u^2, 
And(u^2+x < y,y < -u^2-x), And(u < z,z < -u)], [regular_chain, [[1, 1], [-2, -\
2], [-5, -5], [0, 0], [0, 0]]]], [[8, 1, 1, 3, 4], [v = 1, u < -1, x < -u^2, 
And(u^2+x < y,y < -u^2-x), z = -u], [regular_chain, [[1, 1], [-2, -2], [-5, -5
], [0, 0], [2, 2]]]], [[8, 1, 1, 3, 5], [v = 1, u < -1, x < -u^2, And(u^2+x <
y,y < -u^2-x), -u < z], [regular_chain, [[1, 1], [-2, -2], [-5, -5], [0, 0], [
3, 3]]]], [[8, 4, 6, 5, 1], [v = 1, u = 0, x = 1, 1 < y, z < 0], [
regular_chain, [[1, 1], [0, 0], [1, 1], [2, 2], [-1, -1]]]], [[8, 4, 6, 5, 2],
[v = 1, u = 0, x = 1, 1 < y, z = 0], [regular_chain, [[1, 1], [0, 0], [1, 1],
[2, 2], [0, 0]]]], [[8, 4, 6, 5, 3], [v = 1, u = 0, x = 1, 1 < y, 0 < z], [
regular_chain, [[1, 1], [0, 0], [1, 1], [2, 2], [1, 1]]]], [[10, 11, 3, 4, 1],
[v = 2^(1/2), v < 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, 11, 3, 4, 2], [v = 2^(1/2), v < 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, 11, 3, 4, 3], [v = 2^(1/2), v < 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, 11, 3, 4, 4], [v = 2^(1/2), v < 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, 11, 3, 4, 5], [v = 2^(1/2), v < 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, 4
, 1, 4, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -1, y = -x, z < 0], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-2, -2], [2, 2
], [-1, -1]]]], [[11, 4, 1, 4, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -1, y
= -x, z = 0], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304],
[-2, -2], [2, 2], [0, 0]]]], [[11, 4, 1, 4, 3], [2^(1/2) < v, u = -(v^2-1)^(1/
2), x < -1, y = -x, 0 < z], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [-2, -2], [2, 2], [1, 1]]]]];
