# Manifold: Census Knot K6_24

# Number of Tetrahedra: 6

# Number Field
x^9 - 3*x^8 - x^7 + 14*x^6 - 12*x^5 - 20*x^4 + 34*x^3 + x^2 - 26*x + 11 

# Approximate Field Generator
1.27199996173741 - 0.593119201078802*I

# Shape Parameters
4/17*y^8 - 6/17*y^7 - 13/17*y^6 + 28/17*y^5 + 11/17*y^4 - 38/17*y^3 - 6/17*y^2 + 12/17*y + 33/17

134/187*y^8 - 303/187*y^7 - 376/187*y^6 + 1601/187*y^5 - 354/187*y^4 - 2922/187*y^3 + 2213/187*y^2 + 1762/187*y - 1878/187

4/17*y^8 - 6/17*y^7 - 13/17*y^6 + 28/17*y^5 + 11/17*y^4 - 38/17*y^3 - 6/17*y^2 + 12/17*y + 33/17

-67/119*y^8 + 177/119*y^7 + 86/119*y^6 - 758/119*y^5 + 449/119*y^4 + 1087/119*y^3 - 1251/119*y^2 - 405/119*y + 803/119

9/17*y^8 - 22/17*y^7 - 25/17*y^6 + 114/17*y^5 - 22/17*y^4 - 213/17*y^3 + 148/17*y^2 + 129/17*y - 134/17

4/17*y^8 - 6/17*y^7 - 13/17*y^6 + 28/17*y^5 + 11/17*y^4 - 38/17*y^3 - 6/17*y^2 + 12/17*y + 33/17


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

# B Gluing Matrix
{{1,0,0,0,0,2},{0,1,0,0,0,2},{0,0,1,0,0,2},{0,0,0,1,0,2},{0,0,0,0,1,2},{0,0,0,0,0,3}}

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

# f Combinatorial flattening
{2, -3, 0, 0, -1, 0}

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

# 1 Loop Invariant
22/17*y^8 - 16/17*y^7 - 177/34*y^6 + 189/34*y^5 + 171/17*y^4 - 158/17*y^3 - 237/17*y^2 + 183/34*y + 241/17

# 2 Loop Invariant
5167940399604395233/102290621335397342657*y^8 - 34153148056420839111/409162485341589370628*y^7 - 50277331941943147951/306871864006192027971*y^6 + 168959792584530892603/409162485341589370628*y^5 + 106578183733707531883/1227487456024768111884*y^4 - 781295467338317966053/1227487456024768111884*y^3 + 24611504438131890883/204581242670794685314*y^2 + 176014134205781657435/613743728012384055942*y - 62209191656098593883/204581242670794685314

# 3 Loop Invariant
-511388356852364516802771725/501833049965297864799535442446*y^8 - 370380193275559660245466789/501833049965297864799535442446*y^7 + 3349745223931096815805372083/250916524982648932399767721223*y^6 - 3033510460648801221299751744/250916524982648932399767721223*y^5 - 13465880845964072936849123137/501833049965297864799535442446*y^4 + 13559314808829070306001761112/250916524982648932399767721223*y^3 - 1867260075621135655914705001/250916524982648932399767721223*y^2 - 28285497802107161773202289155/501833049965297864799535442446*y + 25976694263855018577676347575/501833049965297864799535442446