# Manifold: Census Knot K7_25

# Number of Tetrahedra: 7

# Number Field
x^9 - 5/2*x^8 + 4*x^7 - 39/8*x^6 + 4*x^5 - 23/8*x^4 + 1/2*x^3 - 9/8*x^2 - 1/8*x - 1/8 

# Approximate Field Generator
-0.00330054270267659 + 1.14757052623271*I

# Shape Parameters
-184/1515*y^8 + 1252/1515*y^7 - 2612/1515*y^6 + 3533/1515*y^5 - 589/303*y^4 + 1744/1515*y^3 + 86/1515*y^2 - 252/505*y + 796/1515

592/1515*y^8 - 2096/1515*y^7 + 4276/1515*y^6 - 2618/505*y^5 + 2119/303*y^4 - 3744/505*y^3 + 7957/1515*y^2 - 4462/1515*y + 654/505

592/1515*y^8 - 2096/1515*y^7 + 4276/1515*y^6 - 2618/505*y^5 + 2119/303*y^4 - 3744/505*y^3 + 7957/1515*y^2 - 4462/1515*y + 654/505

-664/1515*y^8 - 836/505*y^7 + 2596/505*y^6 - 13247/1515*y^5 + 3671/303*y^4 - 15136/1515*y^3 + 10586/1515*y^2 - 796/1515*y + 3641/1515

25648/1515*y^8 - 72464/1515*y^7 + 120724/1515*y^6 - 49602/505*y^5 + 25177/303*y^4 - 28081/505*y^3 + 14953/1515*y^2 - 16918/1515*y + 136/505

-368/1515*y^8 + 2504/1515*y^7 - 5224/1515*y^6 + 7066/1515*y^5 - 1178/303*y^4 + 3488/1515*y^3 - 2858/1515*y^2 + 1/505*y + 77/1515

296/1515*y^8 + 5012/1515*y^7 - 13012/1515*y^6 + 6771/505*y^5 - 4849/303*y^4 + 6208/505*y^3 - 13444/1515*y^2 + 799/1515*y - 1693/505


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

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

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

# f Combinatorial flattening
{22, -21, -33, 12, -12, 2, 9}

# f' Combinatorial flattening
{28, 0, 0, 0, 0, 0, 0}

# 1 Loop Invariant
-13384/505*y^8 + 121796/1515*y^7 - 200236/1515*y^6 + 254369/1515*y^5 - 16557/101*y^4 + 196312/1515*y^3 - 25779/505*y^2 + 42407/1515*y - 19187/1515

# 2 Loop Invariant
6346731048307520606009/29221809087191349084345*y^8 - 1110506561847107605933/3246867676354594342705*y^7 + 2070475247685395799387/12987470705418377370820*y^6 + 28431045807038362355051/233774472697530792674760*y^5 - 33727367810910626789629/93509789079012317069904*y^4 + 167490345378283318809551/467548945395061585349520*y^3 - 22328335647883922676317/58443618174382698168690*y^2 - 103527752350381777441967/233774472697530792674760*y - 8895183863329253691506149/116887236348765396337380

# 3 Loop Invariant
13626640876782017779090431309569/98794425806380840281270653393340*y^8 - 33697285039652372924880834644549/197588851612761680562541306786680*y^7 + 3041239171722245016715932651578/24698606451595210070317663348335*y^6 + 10406756482206522540246627117527/263451802150348907416721742382240*y^5 - 30071873794105797070862724991435/79035540645104672225016522714672*y^4 + 75418899559572964756284535039431/263451802150348907416721742382240*y^3 - 746893495384290327038507618723101/1580710812902093444500330454293440*y^2 - 7733944182870553133231041632659/98794425806380840281270653393340*y - 2760860905399432159627737403927/32931475268793613427090217797780