# Manifold: Rolfsen Knot 9_46

# Number of Tetrahedra: 5

# Number Field
x^4 - x^3 + 2*x^2 - 2*x + 2 

# Approximate Field Generator
-0.280896351866359 + 1.27440784693539*I

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

1/2*y + 1/2

-y^2 - 1

y^3 + 2*y - 1

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


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

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

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

# f Combinatorial flattening
{29, -20, 21, 5, -8}

# f' Combinatorial flattening
{-12, 0, 0, 0, 0}

# 1 Loop Invariant
5/2*y^3 - 6*y^2 + 9*y - 7

# 2 Loop Invariant
4177979/22819692*y^3 - 9312299/91278768*y^2 + 8340335/30426256*y + 510342857/11409846

# 3 Loop Invariant
-29322539777/587409298336*y^3 - 697527449/36713081146*y^2 - 11104990357/146852324584*y + 13654894371/587409298336

# 4 Loop Invariant
1739957181314784349/268089985319272650240*y^3 + 18577919324632309099/804269955957817950720*y^2 + 3058497022871291339/134044992659636325120*y + 4449599618555029249/134044992659636325120