# Manifold: Rolfsen Knot 9_47

# Number of Tetrahedra: 11

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

# Approximate Field Generator
None

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

-y^3 + 2*y^2 - 2*y

y^2 - y + 1

y^2 - y + 2

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

y^3 - 2*y^2 + 3*y

-y^3 + 2*y^2 - 2*y

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

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

y^2 - y + 1

-y^3 + 2*y^2 - 2*y


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

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

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

# f Combinatorial flattening
{5, 9, 5, 4, 5, 9, -4, -4, 5, -3, 0}

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

# 1 Loop Invariant
-7/2*y^3 - 37/2*y^2 - 4*y - 21/2

# 2 Loop Invariant
-345427597/2718180546*y^3 + 1862031637/5436361092*y^2 - 1869178155/7248481456*y + 198844616647/21745444368

# 3 Loop Invariant
435424893591687/25554709833645856*y^3 - 2516674464777315/51109419667291712*y^2 + 4595584486722653/51109419667291712*y - 1779905024981549/25554709833645856

# 4 Loop Invariant
-107152361689820213496656281/5556985210279284962617390080*y^3 + 342662363933645655878518667/16670955630837854887852170240*y^2 - 75455101423658094322757153/4167738907709463721963042560*y - 371433551352596393212936481/8335477815418927443926085120