# Manifold: Census Knot K6_38

# Number of Tetrahedra: 6

# Number Field
x^8 - 4*x^7 - 2*x^6 + 11*x^5 - 18*x^4 + 16*x^3 - 4*x^2 - 2*x + 1 

# Approximate Field Generator
0.294439766470055 + 1.05836814562839*I

# Shape Parameters
y^7 - 4*y^6 - 2*y^5 + 11*y^4 - 18*y^3 + 16*y^2 - 4*y - 1

-27/67*y^7 + 157/134*y^6 + 159/67*y^5 - 194/67*y^4 + 212/67*y^3 - 31/134*y^2 - 303/134*y + 205/134

-1045/67*y^7 + 3305/67*y^6 + 4866/67*y^5 - 7444/67*y^4 + 12518/67*y^3 - 6182/67*y^2 - 1021/67*y + 1271/67

y^7 - 4*y^6 - 2*y^5 + 11*y^4 - 18*y^3 + 16*y^2 - 4*y - 1

-307/268*y^7 + 1137/268*y^6 + 989/268*y^5 - 3191/268*y^4 + 1089/67*y^3 - 3391/268*y^2 - 24/67*y + 198/67

-84/67*y^7 + 274/67*y^6 + 383/67*y^5 - 678/67*y^4 + 935/67*y^3 - 547/67*y^2 - 181/67*y + 103/67


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

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

# nu Gluing Vector
{2, 0, 1, 3, 2, 2}

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

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

# 1 Loop Invariant
167/134*y^7 - 725/134*y^6 - 153/67*y^5 + 1198/67*y^4 - 2083/134*y^3 + 1798/67*y^2 - 784/67*y + 5/134

# 2 Loop Invariant
-73298864680812251999/313424947374710160036*y^7 + 170617012527125581857/208949964916473440024*y^6 + 1089629281252129547213/1253699789498840640144*y^5 - 646771367091338799757/313424947374710160036*y^4 + 245538078128932755619/78356236843677540009*y^3 - 1455448914131207123141/626849894749420320072*y^2 + 228758850600173657501/1253699789498840640144*y - 47374122858775478873/1253699789498840640144

# 3 Loop Invariant
-594078167024244321489810735/10132901507045710258112345408*y^7 + 95593029134600660077406989769/521844427612854078292785788512*y^6 + 322310624165715302999848443065/1043688855225708156585571577024*y^5 - 129165651651775012077193972093/260922213806427039146392894256*y^4 + 285131059354546817502897704589/521844427612854078292785788512*y^3 - 71060202206243779788474912271/521844427612854078292785788512*y^2 - 425105527716331215805800945345/1043688855225708156585571577024*y + 31139045252284249948167373873/130461106903213519573196447128