# Manifold: Rolfsen Knot 8_15

# Number of Tetrahedra: 11

# Number Field
x^7 - x^6 - 5*x^5 - 2*x^4 + 41*x^3 - 49*x^2 + 40*x + 16 

# Approximate Field Generator
None

# Shape Parameters
6152/170623*y^6 - 3288/170623*y^5 - 40722/170623*y^4 - 37918/170623*y^3 + 304027/170623*y^2 - 65392/170623*y + 74524/170623

3167/682492*y^6 - 18999/682492*y^5 - 18911/682492*y^4 + 35697/341246*y^3 + 430223/682492*y^2 - 655583/682492*y + 169148/170623

35931/1364984*y^6 - 27635/1364984*y^5 - 201839/1364984*y^4 - 97335/682492*y^3 + 1550283/1364984*y^2 - 1034907/1364984*y + 176398/170623

16170/170623*y^6 - 12636/170623*y^5 - 96717/170623*y^4 - 62278/170623*y^3 + 729384/170623*y^2 - 499145/170623*y + 60979/170623

4325/341246*y^6 + 3901/341246*y^5 - 30459/341246*y^4 - 40037/170623*y^3 + 158685/341246*y^2 + 102907/341246*y + 50547/170623

-21441/682492*y^6 - 5847/682492*y^5 + 143977/682492*y^4 + 111533/341246*y^3 - 785885/682492*y^2 - 394015/682492*y + 94624/170623

30441/1364984*y^6 - 53101/1364984*y^5 - 120569/1364984*y^4 + 47773/682492*y^3 + 1451425/1364984*y^2 - 2583381/1364984*y + 688787/341246

3167/682492*y^6 - 18999/682492*y^5 - 18911/682492*y^4 + 35697/341246*y^3 + 430223/682492*y^2 - 655583/682492*y + 169148/170623

6152/170623*y^6 - 3288/170623*y^5 - 40722/170623*y^4 - 37918/170623*y^3 + 304027/170623*y^2 - 65392/170623*y + 74524/170623

-13637/341246*y^6 + 17051/341246*y^5 + 50829/341246*y^4 - 6038/170623*y^3 - 510601/341246*y^2 + 963899/341246*y - 349016/170623

-13637/341246*y^6 + 17051/341246*y^5 + 50829/341246*y^4 - 6038/170623*y^3 - 510601/341246*y^2 + 963899/341246*y - 349016/170623


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

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

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

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

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

# 1 Loop Invariant
-21957/341246*y^6 - 14656/170623*y^5 + 68815/170623*y^4 + 55990/170623*y^3 - 450947/341246*y^2 - 792555/170623*y - 82126/170623

# 2 Loop Invariant
-263912585386923762137/7099350326059675892352*y^6 + 358357349977467242005/7099350326059675892352*y^5 + 1159233571931534634961/7099350326059675892352*y^4 - 6319920125823138199/1183225054343279315392*y^3 - 10480812851923129755337/7099350326059675892352*y^2 + 5868892871714249214135/2366450108686558630784*y - 1386172064542357440299/591612527171639657696

# 3 Loop Invariant
18363662310152004182904971060817/27983406987447930944535966623744*y^6 - 23550182657117389425548328137093/27983406987447930944535966623744*y^5 - 85253175631868199570111571608369/27983406987447930944535966623744*y^4 - 6332624771643024819313372448327/13991703493723965472267983311872*y^3 + 756963722441219595378998949924657/27983406987447930944535966623744*y^2 - 1112709100354184062985183784963701/27983406987447930944535966623744*y + 261343467447918415306008136453043/6995851746861982736133991655936

# 4 Loop Invariant
-188503050860188155778222049389539803370730248599863/8732586294957263143398401002997251708476061777920*y^6 + 241406427001776346006428048719292078483896178311603/8732586294957263143398401002997251708476061777920*y^5 + 291586071185392444413488456143921146825802165190381/2910862098319087714466133667665750569492020592640*y^4 + 7306724660838339455950552178442406875450780626561/485143683053181285744355611277625094915336765440*y^3 - 7765516314919248505382011580831718455165637845744119/8732586294957263143398401002997251708476061777920*y^2 + 2283200824421023326872858499658501923190926131488295/1746517258991452628679680200599450341695212355584*y - 2686085012592799529234452303802548689309969728559817/2183146573739315785849600250749312927119015444480