# Manifold: Census Knot K6_34

# Number of Tetrahedra: 6

# Number Field
x^8 - x^7 - x^6 - 3*x^5 + 6*x^4 - 7*x^3 + 11*x^2 - 4*x + 5 

# Approximate Field Generator
0.285508834936351 - 0.864328911680518*I

# Shape Parameters
-39/610*y^7 - 21/610*y^6 + 62/305*y^5 + 167/610*y^4 - 12/305*y^3 - 11/305*y^2 - 32/305*y + 81/610

-108/305*y^7 + 1/610*y^6 + 273/305*y^5 + 439/305*y^4 - 1001/610*y^3 - 333/610*y^2 - 331/610*y - 701/610

-55/122*y^7 + 83/122*y^6 + 28/61*y^5 + 101/122*y^4 - 214/61*y^3 + 241/61*y^2 - 286/61*y + 255/122

-7/305*y^7 - 31/610*y^6 + 77/305*y^5 + 116/305*y^4 - 79/610*y^3 - 657/610*y^2 - 109/610*y - 229/610

-141/610*y^7 + 93/610*y^6 + 27/61*y^5 + 463/610*y^4 - 461/305*y^3 + 223/305*y^2 - 294/305*y - 9/122

-7/305*y^7 - 31/610*y^6 + 77/305*y^5 + 116/305*y^4 - 79/610*y^3 - 657/610*y^2 - 109/610*y - 229/610


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

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

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

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

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

# 1 Loop Invariant
44/61*y^7 + 19/61*y^6 - 297/122*y^5 - 491/122*y^4 + 331/122*y^3 + 200/61*y^2 + 55/61*y + 751/122

# 2 Loop Invariant
-18192641495/497933361512*y^7 - 2349970051/497933361512*y^6 + 40013500369/373450021134*y^5 + 87741811855/497933361512*y^4 - 582554388/3661274717*y^3 - 51611895329/746900042268*y^2 - 10134367719/124483340378*y - 291698635807/1493800084536

# 3 Loop Invariant
3655753764157/1988185670847227*y^7 + 4788795268076/1988185670847227*y^6 - 12902088827253/1988185670847227*y^5 - 13019442994902/1988185670847227*y^4 + 6766350749851/1988185670847227*y^3 + 1623513535561/116952098285131*y^2 - 26797944073674/1988185670847227*y + 31280727289106/1988185670847227