# Manifold: Census Knot K8_232

# Number of Tetrahedra: 8

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

# Approximate Field Generator
None

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

1/20*y^4 + 2/5*y^3 + 3/4*y^2 + 1/20*y + 1/20

3/20*y^4 + y^3 + 21/20*y^2 - 1/4*y - 1/4

11/40*y^4 + 3/2*y^3 + 17/40*y^2 + 3/8*y - 5/8

3/20*y^4 + 4/5*y^3 + 1/20*y^2 + 7/20*y - 1/4

-1/40*y^4 - 1/10*y^3 + 13/40*y^2 + 27/40*y - 1/8

1/8*y^4 + 3/5*y^3 - 1/8*y^2 + 33/40*y + 1/8

1/10*y^4 + 3/5*y^3 + 3/10*y^2 - 3/10*y + 7/10


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

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

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

# f Combinatorial flattening
{6, 1, -2, 3, -2, -1, -3, -3}

# f' Combinatorial flattening
{0, 0, 6, 0, 0, 0, 0, 0}

# 1 Loop Invariant
7/5*y^4 + 44/5*y^3 + 54/5*y^2 + 68/5*y + 5

# 2 Loop Invariant
143701912789/4488922714560*y^4 + 53380183857/374076892880*y^3 - 65641405299/1496307571520*y^2 + 460711056391/1496307571520*y + 389198359193/897784542912

# 3 Loop Invariant
-121822148734492737/9986335185495450112*y^4 - 133252659842449689/3120729745467328160*y^3 + 1140611623610960105/9986335185495450112*y^2 - 1972822590637134993/49931675927477250560*y - 70704543161193201/9986335185495450112

# 4 Loop Invariant
6181500231021442492741932746839/268967321096281662331728576184320*y^4 + 537933552082709202879955369201/4202614392129400973933259002880*y^3 + 339332160953243282941866202051/89655773698760554110576192061440*y^2 - 19968447848570516133521375013679/89655773698760554110576192061440*y + 37657629298845052152319770002999/268967321096281662331728576184320