# Manifold: Census Knot K8_299

# Number of Tetrahedra: 8

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

# Approximate Field Generator
-0.713037668155731 + 0.434513095888678*I

# Shape Parameters
2*y^4 + 9*y^3 + 5*y^2 - y - 2

-2*y^4 - 10*y^3 - 9*y^2 + y + 4

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

2*y^4 + 9*y^3 + 5*y^2 - y - 1

3/2*y^4 + 13/2*y^3 + 5/2*y^2 - 2*y - 3/2

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

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

-3/4*y^4 - 15/4*y^3 - 13/4*y^2 + y + 9/4


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

# 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, 1, 2, 1, -1, 2, 0, 1}

# f Combinatorial flattening
{-1, -1, -1, 0, 0, 3, 2, -2}

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

# 1 Loop Invariant
9*y^4 + 44*y^3 + 57/2*y^2 - 32*y - 1/2

# 2 Loop Invariant
27119861/225714828*y^4 + 390272297/902859312*y^3 - 3767498/56428707*y^2 - 27409301/902859312*y - 6207605/902859312

# 3 Loop Invariant
-3691359558769/10441868896384*y^4 - 16976352791605/10441868896384*y^3 - 8307270465915/10441868896384*y^2 + 243775621937/326308403012*y + 7719869127943/10441868896384

# 4 Loop Invariant
-135268333219575334283573/141413078516751862917120*y^4 - 105263312786394460180489/23568846419458643819520*y^3 - 319189677062485006002251/141413078516751862917120*y^2 + 263726978422802563236917/141413078516751862917120*y + 138570362166580676116271/70706539258375931458560