# Manifold: Census Knot K7_125

# Number of Tetrahedra: 7

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

# Approximate Field Generator
-1.66523209633482 + 0.471882451801173*I

# Shape Parameters
174/257*y^6 + 513/257*y^5 + 139/257*y^4 - 586/257*y^3 - 271/257*y^2 - 100/257*y - 23/257

-1389/1285*y^6 - 3816/1285*y^5 - 538/1285*y^4 + 4093/1285*y^3 - 1767/1285*y^2 - 2011/1285*y + 3981/1285

-1128/257*y^6 - 2661/257*y^5 + 56/257*y^4 + 2186/257*y^3 - 1788/257*y^2 - 105/257*y + 1505/257

189/257*y^6 + 411/257*y^5 - 75/257*y^4 - 220/257*y^3 + 357/257*y^2 - 277/257*y - 56/257

413/257*y^6 + 1098/257*y^5 + 365/771*y^4 - 2870/771*y^3 + 723/257*y^2 + 318/257*y - 2366/771

-124/257*y^6 - 339/257*y^5 - 244/771*y^4 + 1306/771*y^3 + 137/257*y^2 + 24/257*y + 1024/771

-1128/257*y^6 - 2661/257*y^5 + 56/257*y^4 + 2186/257*y^3 - 1788/257*y^2 - 105/257*y + 1505/257


# A Gluing Matrix
{{5,0,3,3,2,-2,-1},{0,1,0,0,-1,1,0},{3,0,2,2,2,-1,-1},{3,0,2,2,2,-2,0},{2,-1,2,2,0,-1,0},{-2,1,-1,-2,-1,2,1},{-1,0,-1,0,0,1,0}}

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

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

# f Combinatorial flattening
{-76, 33, 55, 28, 11, -21, -21}

# f' Combinatorial flattening
{49, 0, 0, 0, 0, 0, 0}

# 1 Loop Invariant
2769/257*y^6 + 5226/257*y^5 - 1417/257*y^4 - 2289/257*y^3 + 4031/257*y^2 - 3736/257*y - 2391/257

# 2 Loop Invariant
-2449205136853935/4006992465402512*y^6 - 4539276151032217/4006992465402512*y^5 + 1421824635684869/2003496232701256*y^4 + 912375162989680/751311087262971*y^3 - 1808420563383139/1502622174525942*y^2 + 6126537349332017/12020977396207536*y + 1862162962434441497/4006992465402512

# 3 Loop Invariant
4746011421905754869923/7910997210459248636576*y^6 + 2784124210359350799067/1977749302614812159144*y^5 - 22655479565812604957/15821994420918497273152*y^4 - 1978424190879428203301/1977749302614812159144*y^3 + 15956650712416881271563/15821994420918497273152*y^2 + 128230516036383005987/15821994420918497273152*y - 8614133125905392520283/15821994420918497273152