# Manifold: Census Knot K5_11

# Number of Tetrahedra: 5

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

# Approximate Field Generator
-0.165924414224040 - 1.35481938889228*I

# Shape Parameters
-2/3*y^4 + 5/3*y^3 - 2/3*y^2 + 8/3*y - 1/3

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

1/18*y^4 - 2/9*y^3 + 7/18*y^2 - 13/18*y + 17/18

y^4 - 3*y^3 + 3*y^2 - 6*y + 3

-2*y^4 + 5*y^3 - 3*y^2 + 9*y - 2


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

# B Gluing Matrix
{{1,0,0,0,1},{0,1,0,0,0},{0,0,1,0,2},{0,0,0,1,1},{0,0,0,0,3}}

# nu Gluing Vector
{-2, -1, -3, -1, -5}

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

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

# 1 Loop Invariant
-2/3*y^4 + 5/3*y^3 + 4/3*y^2 + 11/3*y - 10/3

# 2 Loop Invariant
-24849145/154739232*y^4 + 16587163/38684808*y^3 - 44366137/154739232*y^2 + 119348179/154739232*y - 19455299/154739232

# 3 Loop Invariant
17463823695/201642412544*y^4 - 22387836813/100821206272*y^3 + 33339652605/201642412544*y^2 - 88730309171/201642412544*y + 32943614457/201642412544

# 4 Loop Invariant
-48907298508226541929/936059761670571786240*y^4 + 53375101288932458873/468029880835285893120*y^3 - 44808378089005870111/936059761670571786240*y^2 + 230317048782705329461/936059761670571786240*y + 4380371236974134893/936059761670571786240

# 5 Loop Invariant
-8396788109083717944043/243957975219388131311616*y^4 + 14892993520803109954091/121978987609694065655808*y^3 - 33298683495789533103949/243957975219388131311616*y^2 + 52195517717668132247183/243957975219388131311616*y - 53082688638258755421641/243957975219388131311616