# Manifold: Census Knot K8_301

# Number of Tetrahedra: 8

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

# Approximate Field Generator
-0.0837738586690599 - 0.872581917422948*I

# Shape Parameters
-1/4*y^4 + 7/4*y^3 + 1/4*y^2 + 3/4*y + 1/2

-9/14*y^4 + 59/14*y^3 + 18/7*y^2 + 18/7*y + 15/7

-5/28*y^4 + 8/7*y^3 + 27/28*y^2 + 3/14*y + 10/7

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

-9/28*y^4 + 33/14*y^3 - 13/28*y^2 + 11/14*y + 1/14

-9/14*y^4 + 59/14*y^3 + 18/7*y^2 + 18/7*y + 15/7

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

3/28*y^4 - 11/14*y^3 + 9/28*y^2 - 10/7*y + 9/14


# A Gluing Matrix
{{2,-1,1,1,2,-2,-1,-3},{-1,2,-1,-1,-2,0,1,1},{1,-1,2,0,2,-1,-1,-2},{1,-1,0,1,1,0,0,0},{2,-2,2,1,4,-2,-1,-4},{-2,0,-1,0,-2,4,1,4},{-1,1,-1,0,-1,1,1,1},{-3,1,-2,0,-4,4,1,6}}

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

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

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

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

# 1 Loop Invariant
3/4*y^4 - 2*y^3 - 107/4*y^2 + 29/2*y + 35/2

# 2 Loop Invariant
355577875/8426686912*y^4 - 1051555465/3160007592*y^3 + 6131192267/25280060736*y^2 - 5735466077/12640030368*y + 2544829865/12640030368

# 3 Loop Invariant
406133676371/2610467224096*y^4 - 12422212134449/10441868896384*y^3 + 3407623312531/5220934448192*y^2 - 2068805793773/2610467224096*y + 5888375444741/10441868896384

# 4 Loop Invariant
373931186928239798952811/989891549617263040419840*y^4 - 63620589372331036298797/21997589991494734231552*y^3 + 106977152821702375658389/82490962468105253368320*y^2 - 222062978781163748496897/109987949957473671157760*y + 1148928216126567579723829/989891549617263040419840