# Manifold: Census Knot K7_96

# Number of Tetrahedra: 7

# Number Field
x^8 + 3/2*x^7 + x^6 - 1/8*x^5 - 3/4*x^4 + 1/8*x^2 - 1/4*x - 1/8 

# Approximate Field Generator
-0.777267644899299 + 0.0695545091500949*I

# Shape Parameters
800/17*y^7 + 592/17*y^6 + 312/17*y^5 - 416/17*y^4 - 360/17*y^3 + 243/17*y^2 - 67/17*y - 145/17

264/17*y^7 + 228/17*y^6 + 156/17*y^5 - 89/17*y^4 - 129/17*y^3 + 62/17*y^2 - 25/17*y - 30/17

-160/17*y^7 - 200/17*y^6 - 76/17*y^5 + 56/17*y^4 + 123/17*y^3 - 35/17*y^2 - 7/17*y + 63/17

216/17*y^7 + 100/17*y^6 + 72/17*y^5 - 147/17*y^4 - 70/17*y^3 + 60/17*y^2 - 39/17*y - 23/17

376/17*y^7 + 300/17*y^6 + 148/17*y^5 - 203/17*y^4 - 193/17*y^3 + 129/17*y^2 - 15/17*y - 69/17

424/17*y^7 + 292/17*y^6 + 164/17*y^5 - 213/17*y^4 - 167/17*y^3 + 114/17*y^2 - 52/17*y - 59/17

4296/323*y^7 + 2684/323*y^6 + 1432/323*y^5 - 2221/323*y^4 - 1396/323*y^3 + 1777/323*y^2 - 498/323*y - 584/323


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

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

# nu Gluing Vector
{-2, 2, 0, -2, -2, -2, 3}

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

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

# 1 Loop Invariant
-7720/17*y^7 - 5468/17*y^6 - 3072/17*y^5 + 3841/17*y^4 + 3202/17*y^3 - 2441/17*y^2 + 950/17*y + 1327/17

# 2 Loop Invariant
604902477411337139/113539559695310657*y^7 + 1481439842387832539/340618679085931971*y^6 + 3246687222359814677/1362474716343727884*y^5 - 7042336348992407437/2724949432687455768*y^4 - 14770689281713908287/5449898865374911536*y^3 + 1585689419350943371/908316477562485256*y^2 - 250064935985934907/908316477562485256*y - 780623313069787585/1362474716343727884

# 3 Loop Invariant
63422421717149950490564203/37115587486075021000078108*y^7 + 116819233562421698691470963/74231174972150042000156216*y^6 + 49916068633435213543690423/74231174972150042000156216*y^5 - 217629360799464435186853955/296924699888600168000624864*y^4 - 267929390208079148076594161/296924699888600168000624864*y^3 + 151673985296625070911460935/296924699888600168000624864*y^2 - 6983941782950168776561517/593849399777200336001249728*y - 105674334001575354624044661/296924699888600168000624864