# Manifold: Census Knot K6_42

# Number of Tetrahedra: 6

# Number Field
x^8 - 24/5*x^7 + 33/5*x^6 + 33/5*x^5 - 111/5*x^4 + 8*x^3 + 76/5*x^2 - 64/5*x + 16/5 

# Approximate Field Generator
1.32376522907843 - 0.294556559624648*I

# Shape Parameters
-601/5844*y^7 + 4703/9740*y^6 - 33041/29220*y^5 + 9896/7305*y^4 - 3658/7305*y^3 - 73111/29220*y^2 + 30964/7305*y - 8567/7305

-8815/11688*y^7 + 11519/3896*y^6 - 28765/11688*y^5 - 39697/5844*y^4 + 14780/1461*y^3 + 39499/11688*y^2 - 48935/5844*y + 1951/1461

-610/1461*y^7 + 6647/5844*y^6 + 201/1948*y^5 - 11147/2922*y^4 + 9193/5844*y^3 + 5249/1461*y^2 - 2770/1461*y + 100/1461

-958/1461*y^7 + 77663/29220*y^6 - 36341/14610*y^5 - 53439/9740*y^4 + 278021/29220*y^3 + 11651/9740*y^2 - 111499/14610*y + 7282/2435

-353/3896*y^7 + 3203/29220*y^6 + 11321/58440*y^5 - 23449/58440*y^4 - 8031/19480*y^3 - 9107/29220*y^2 + 1547/4870*y + 5711/7305

4505/11688*y^7 - 5921/2922*y^6 + 37201/11688*y^5 + 7011/3896*y^4 - 106163/11688*y^3 + 2095/487*y^2 + 5548/1461*y - 569/487


# A Gluing Matrix
{{1,3,-5,-6,9,4},{1,1,-3,-2,5,2},{1,1,-2,-2,3,2},{0,2,-2,-2,3,1},{1,3,-7,-7,11,5},{0,0,0,-1,1,1}}

# B Gluing Matrix
{{1,0,0,0,4,0},{0,1,0,0,2,0},{0,0,1,0,2,0},{0,0,0,1,2,0},{0,0,0,0,5,0},{0,0,0,0,0,1}}

# nu Gluing Vector
{5, 3, 2, 2, 5, 1}

# f Combinatorial flattening
{-14, 3, -7, 13, -3, 17}

# f' Combinatorial flattening
{12, 0, 0, 0, 0, 0}

# 1 Loop Invariant
94895/11688*y^7 - 79249/2922*y^6 + 53949/3896*y^5 + 833795/11688*y^4 - 771761/11688*y^3 - 124723/2922*y^2 + 69244/1461*y - 13423/1461

# 2 Loop Invariant
691338842320048345/36973447603962312704*y^7 - 19332301820762251877/166380514217830407168*y^6 + 57603687623324889973/332761028435660814336*y^5 + 71843100353151149659/332761028435660814336*y^4 - 76523757793387000151/110920342811886938112*y^3 + 9701076805713443159/166380514217830407168*y^2 + 16158150545918406961/27730085702971734528*y + 435100292175770449319/20797564277228800896

# 3 Loop Invariant
24578664831407910457539055/900462139193598520588525568*y^7 - 587739312595539074559818129/5402772835161591123531153408*y^6 + 63573074570666439109350613/675346604395198890441394176*y^5 + 1394793706619797370112066365/5402772835161591123531153408*y^4 - 786470469473193944511397103/1800924278387197041177051136*y^3 - 545386824461844699657228367/5402772835161591123531153408*y^2 + 344054413849806015399769793/900462139193598520588525568*y - 79805906202307688366488619/1350693208790397780882788352