# Manifold: Census Knot K7_118

# Number of Tetrahedra: 7

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

# Approximate Field Generator
0.847803599674508 + 0.329977216098966*I

# Shape Parameters
1/2*y^6 + 1/2*y^5 - 5/2*y^4 - 3/2*y^3 + 9/2*y^2 + 3/2*y - 3

1/2*y^6 + 1/2*y^5 - 5/2*y^4 - 3/2*y^3 + 9/2*y^2 + 3/2*y - 3

-y^5 - 2*y^4 + 2*y^3 + 4*y^2 - y - 2

-1/2*y^6 - y^5 + 3/2*y^4 + 3*y^3 - 3/2*y^2 - 2*y + 2

-1/2*y^6 - y^5 + 3/2*y^4 + 3*y^3 - 3/2*y^2 - 2*y + 2

-y^5 - 2*y^4 + 2*y^3 + 4*y^2 - y - 2

-1/2*y^5 - y^4 + y^3 + 2*y^2


# A Gluing Matrix
{{1,-2,0,0,1,-1,0},{-1,0,0,1,0,-1,0},{1,1,2,-2,-1,2,-1},{-2,-2,-3,3,3,-3,2},{-1,-3,-2,3,3,-4,2},{1,1,2,-1,-2,2,-1},{-1,-1,-1,1,1,-1,1}}

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

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

# f Combinatorial flattening
{-1, -3, 0, 1, 1, 2, -5}

# f' Combinatorial flattening
{-4, 0, 0, 0, 0, 0, 0}

# 1 Loop Invariant
4*y^6 - 29*y^4 - 8*y^3 + 42*y^2 + 19*y - 14

# 2 Loop Invariant
12245915241859/147828785266208*y^6 + 39180908773097/221743177899312*y^5 - 16547100205901/443486355798624*y^4 - 7230241740189/147828785266208*y^3 + 31903955027543/221743177899312*y^2 + 2975127456575/73914392633104*y - 110546870513387/221743177899312

# 3 Loop Invariant
37026827654968944501291/48295549431332787022592*y^6 + 30725662542906876414595/12073887357833196755648*y^5 + 26174643737164129876989/24147774715666393511296*y^4 - 152730220358738708521147/48295549431332787022592*y^3 - 23923919428807536248721/12073887357833196755648*y^2 + 48221743273862870968389/24147774715666393511296*y + 29236979964705754880253/24147774715666393511296