# Manifold: Rolfsen Knot 9_28

# Number of Tetrahedra: 13

# Number Field
x^4 + 2*x^3 + 2*x^2 + x + 1 

# Approximate Field Generator
None

# Shape Parameters
-y^3 - y^2 - 2*y

-y - 1

-7/13*y^3 - 17/13*y^2 - 12/13*y - 1/13

1/7*y^3 - 5/7*y + 4/7

-5/13*y^3 - 14/13*y^2 - 16/13*y + 3/13

-y^2 - y

-y^3 - 2*y^2 - y - 1

-y^2 - y

y^3 + y^2 - y + 1

2/13*y^3 + 3/13*y^2 - 4/13*y + 4/13

-1/3*y^3 - 4/3*y^2 - 5/3*y

-y^3 - y^2 - y

-y^3 - y^2 - y


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

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

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

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

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

# 1 Loop Invariant
-17*y^3 - 93/2*y^2 - 47*y - 14

# 2 Loop Invariant
-60500276779/662213484972*y^3 - 104513538704/496660113729*y^2 - 276597372905/496660113729*y + 2727323071/993320227458

# 3 Loop Invariant
25560226297149144598/702767146921091778591*y^3 + 224586919361787984173/1405534293842183557182*y^2 + 20346303841894997069/702767146921091778591*y + 34674210013277436256/702767146921091778591

# 4 Loop Invariant
-1295767107939999568296755615707/35798606268188132814754148448804*y^3 + 110549034033811061771125883827393/1288749825654772781331149344156944*y^2 - 8666845846076500581965445220951/644374912827386390665574672078472*y + 4649169372145383644608925503418/80546864103423298833196834009809