# Manifold: Census Knot K8_277

# Number of Tetrahedra: 8

# Number Field
x^5 - 12*x^4 + 22*x^3 - 20*x^2 + 9*x - 1 

# Approximate Field Generator
0.515688901970506 + 0.712280446731373*I

# Shape Parameters
30/17*y^4 - 338/17*y^3 + 411/17*y^2 - 285/17*y + 61/17

43/85*y^4 - 489/85*y^3 + 127/17*y^2 - 80/17*y + 122/85

28/85*y^4 - 354/85*y^3 + 159/17*y^2 - 111/17*y + 287/85

19/34*y^4 - 111/17*y^3 + 347/34*y^2 - 257/34*y + 97/34

35/34*y^4 - 200/17*y^3 + 539/34*y^2 - 375/34*y + 91/34

-y^4 + 11*y^3 - 11*y^2 + 9*y

-y^4 + 11*y^3 - 11*y^2 + 9*y - 1

-78/17*y^4 + 872/17*y^3 - 1004/17*y^2 + 775/17*y - 94/17


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

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

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

# f Combinatorial flattening
{5, -1, -3, 1, 1, 7, 9, 6}

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

# 1 Loop Invariant
179/17*y^4 - 2104/17*y^3 + 3338/17*y^2 - 1845/17*y + 241/17

# 2 Loop Invariant
164768393/676444688*y^4 - 1461884987/507333516*y^3 + 4907182913/1014667032*y^2 - 7752420601/2029334064*y + 983108833/507333516

# 3 Loop Invariant
7919441647/25704898144*y^4 - 822040798757/224579636416*y^3 + 27108314308577/4267013091904*y^2 - 22803224145509/4267013091904*y + 1109012602719/533376636488

# 4 Loop Invariant
8643077984922744509431/7640466193177720427520*y^4 - 1793401297436879005363/134043266546977551360*y^3 + 1194840661913711140153/53058793008178614080*y^2 - 28686056469059058980051/1528093238635544085504*y + 562639920309524616337/80425959928186530816