# Manifold: Census Knot K8_144

# Number of Tetrahedra: 8

# Number Field
x^8 + 12*x^7 + 54*x^6 + 49*x^5 + 184*x^4 + 256*x^3 + 59*x^2 - 21*x - 1 

# Approximate Field Generator
0.564941708269618 + 1.88353442665269*I

# Shape Parameters
y^7 + 11*y^6 + 43*y^5 + 6*y^4 + 178*y^3 + 78*y^2 - 19*y - 1

-452998013/622075907*y^7 - 5378189551/622075907*y^6 - 23776290820/622075907*y^5 - 19166388313/622075907*y^4 - 80888687395/622075907*y^3 - 105434292840/622075907*y^2 - 12927411978/622075907*y + 12294327165/622075907

7837378/622075907*y^7 + 89962346/622075907*y^6 + 368596648/622075907*y^5 + 99536832/622075907*y^4 + 993900091/622075907*y^3 + 1250116710/622075907*y^2 - 760520692/622075907*y - 57786605/622075907

-7605769917/88956854701*y^7 - 90876030932/88956854701*y^6 - 406268977687/88956854701*y^5 - 354883346359/88956854701*y^4 - 1395925450041/88956854701*y^3 - 1888034233510/88956854701*y^2 - 382597028116/88956854701*y + 139592052271/88956854701

2309510713/88956854701*y^7 + 29759285755/88956854701*y^6 + 147933505146/88956854701*y^5 + 208698688687/88956854701*y^4 + 465319670143/88956854701*y^3 + 955270382932/88956854701*y^2 + 471019732292/88956854701*y + 24866769127/88956854701

-138249048/622075907*y^7 - 1663424284/622075907*y^6 - 7523890578/622075907*y^5 - 7071537157/622075907*y^4 - 25887350801/622075907*y^3 - 36202155644/622075907*y^2 - 9991357835/622075907*y + 1801694230/622075907

-1011019026/622075907*y^7 - 11510348484/622075907*y^6 - 47499637522/622075907*y^5 - 20145684169/622075907*y^4 - 172884931284/622075907*y^3 - 152030962001/622075907*y^2 + 36685401459/622075907*y + 1894927836/622075907

1750682109/622075907*y^7 + 19968883285/622075907*y^6 + 82677666812/622075907*y^5 + 36648862516/622075907*y^4 + 300149700338/622075907*y^3 + 269902189975/622075907*y^2 - 57529601610/622075907*y - 2843654113/622075907


# A Gluing Matrix
{{7,14,0,8,6,0,2,4},{14,29,-1,16,12,0,4,8},{0,-1,1,0,-1,-1,0,-1},{8,16,0,10,6,0,2,4},{6,12,-1,6,6,1,2,4},{0,0,-1,0,1,1,0,1},{2,4,0,2,2,0,1,1},{4,8,-1,4,4,1,1,4}}

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

# nu Gluing Vector
{9, 17, -1, 10, 8, 1, 3, 6}

# f Combinatorial flattening
{-1, 0, 1, -4, 10, -9, -8, 1}

# f' Combinatorial flattening
{0, 0, 0, 10, 0, 0, 0, 0}

# 1 Loop Invariant
-341638798/622075907*y^7 - 4038275765/622075907*y^6 - 17733470090/622075907*y^5 - 13711820938/622075907*y^4 - 61439178027/622075907*y^3 - 79601724837/622075907*y^2 - 12162109392/622075907*y + 12384972052/622075907

# 2 Loop Invariant
1434408733194769603433145/180174095578357968547787312*y^7 + 49512643319199390751562491/540522286735073905643361936*y^6 + 208880639053162301417806433/540522286735073905643361936*y^5 + 59358130738302181551146017/270261143367536952821680968*y^4 + 778686601634263752280840735/540522286735073905643361936*y^3 + 46319851863524251911109540/33782642920942119102710121*y^2 + 9258795958594527125773679/45043523894589492136946828*y + 2038139983893457046561164283/540522286735073905643361936

# 3 Loop Invariant
-147957551896841641569632035550455/96965409376101111439335819789225152*y^7 - 1844668179727652061440112029078219/96965409376101111439335819789225152*y^6 - 8707571148712015325290718435868343/96965409376101111439335819789225152*y^5 - 9764096415355071308524060392078727/96965409376101111439335819789225152*y^4 - 6455192392639821907171678317528367/24241352344025277859833954947306288*y^3 - 25577321855120324516497834233858115/48482704688050555719667909894612576*y^2 - 5365098989028411495471624731318283/96965409376101111439335819789225152*y + 752341728220685884192667954803177/24241352344025277859833954947306288

# 4 Loop Invariant
-2966603326842624053892743032267100299921667762408123/631899952486498750200696875678265082374533124845022720*y^7 - 2272406532049953302555036546639624245567110020879687/42126663499099916680046458378551005491635541656334848*y^6 - 71589759046084985302309550831487166197354217456896197/315949976243249375100348437839132541187266562422511360*y^5 - 155839096519626163106774426287094114815669825519120819/1263799904972997500401393751356530164749066249690045440*y^4 - 177328141322327957777500999755487486836943682193866543/210633317495499583400232291892755027458177708281674240*y^3 - 991793514267224494074914842643853814886824285198476169/1263799904972997500401393751356530164749066249690045440*y^2 - 5139207644634169176705739822915421766342279624393857/157974988121624687550174218919566270593633281211255680*y - 561858851009065803891772880618501772148853717737525/252759980994599500080278750271306032949813249938009088