# Manifold: Census Knot K7_18

# Number of Tetrahedra: 7

# Number Field
x^7 + 2*x^6 + 6*x^5 - 11*x^4 + 13*x^3 - 11*x^2 + 6*x - 1 

# Approximate Field Generator
-1.79328016181314 - 2.59999398503974*I

# Shape Parameters
46/49*y^6 + 100/49*y^5 + 41/7*y^4 - 471/49*y^3 + 482/49*y^2 - 354/49*y + 191/49

3/7*y^6 + y^5 + 19/7*y^4 - 30/7*y^3 + 20/7*y^2 - 18/7*y + 8/7

-51/49*y^6 - 134/49*y^5 - 8*y^4 + 316/49*y^3 - 458/49*y^2 + 338/49*y - 92/49

97/49*y^6 + 234/49*y^5 + 97/7*y^4 - 787/49*y^3 + 940/49*y^2 - 692/49*y + 332/49

-135/49*y^6 - 295/49*y^5 - 123/7*y^4 + 1331/49*y^3 - 1494/49*y^2 + 1143/49*y - 533/49

-110/49*y^6 - 244/49*y^5 - 101/7*y^4 + 1070/49*y^3 - 1152/49*y^2 + 915/49*y - 349/49

-191/49*y^6 - 428/49*y^5 - 178/7*y^4 + 1814/49*y^3 - 2012/49*y^2 + 1619/49*y - 743/49


# A Gluing Matrix
{{3,-2,1,-2,0,0,0},{-2,2,0,1,1,0,0},{1,0,1,-1,0,0,0},{-2,1,-1,2,0,1,-1},{0,1,0,0,0,0,0},{0,0,0,0,-1,1,0},{0,0,0,-1,-1,-1,2}}

# B Gluing Matrix
{{1,0,0,0,0,0,0},{0,1,0,0,0,0,0},{0,0,1,0,0,0,0},{0,0,0,1,0,1,0},{0,0,0,0,1,1,1},{0,0,0,0,0,2,1},{0,0,0,0,0,0,2}}

# nu Gluing Vector
{1, 0, 1, 1, 2, 2, 0}

# f Combinatorial flattening
{2, 2, 1, 2, -2, 0, 0}

# f' Combinatorial flattening
{2, 0, 0, 0, 0, 0, 0}

# 1 Loop Invariant
9/49*y^6 + 50/49*y^5 + 16/7*y^4 + 27/49*y^3 - 473/49*y^2 - 93/49*y - 146/49

# 2 Loop Invariant
-45500292157/281650233648*y^6 - 35683853367/93883411216*y^5 - 101636285515/93883411216*y^4 + 69831359659/46941705608*y^3 - 360415444045/281650233648*y^2 + 2323795927/1514248568*y - 295882513895/281650233648

# 3 Loop Invariant
-4634623862218037/28766252730227264*y^6 - 715350566168109/1797890795639204*y^5 - 32642982722441685/28766252730227264*y^4 + 37416264856972797/28766252730227264*y^3 - 9395937453353699/7191563182556816*y^2 + 2351414592586457/2054732337873376*y - 4491442553534847/14383126365113632