# Manifold: Census Knot K7_39

# Number of Tetrahedra: 7

# Number Field
x^9 + 53/93*x^8 - 406/279*x^7 - 212/279*x^6 + 344/279*x^5 + 83/93*x^4 + 25/93*x^3 + 49/279*x^2 + 8/31*x + 55/279 

# Approximate Field Generator
1.05460833127779 - 0.473606305482244*I

# Shape Parameters
-1472993660383407/273798450481063*y^8 - 490458369352230/273798450481063*y^7 + 2244481839155958/273798450481063*y^6 + 261839818793394/273798450481063*y^5 - 1701257648237173/273798450481063*y^4 - 785055651941292/273798450481063*y^3 - 327730444800279/273798450481063*y^2 - 692384448201507/273798450481063*y - 180083161270799/273798450481063

-2732040824758281/2190387603848504*y^8 - 196469455356729/1095193801924252*y^7 + 440543322660773/273798450481063*y^6 + 227692006205813/1642790702886378*y^5 - 2137114853383663/1642790702886378*y^4 - 3719990527960945/6571162811545512*y^3 - 102589269591864/273798450481063*y^2 - 2579738306823757/6571162811545512*y + 2666282398388483/6571162811545512

-1472993660383407/273798450481063*y^8 - 490458369352230/273798450481063*y^7 + 2244481839155958/273798450481063*y^6 + 261839818793394/273798450481063*y^5 - 1701257648237173/273798450481063*y^4 - 785055651941292/273798450481063*y^3 - 327730444800279/273798450481063*y^2 - 692384448201507/273798450481063*y + 93715289210264/273798450481063

40062249289719/53424087898744*y^8 - 733805257029/26712043949372*y^7 - 19343315435983/13356021974686*y^6 + 1053504361645/13356021974686*y^5 + 7904504684562/6678010987343*y^4 + 6293507507581/53424087898744*y^3 - 3082008582239/13356021974686*y^2 - 1884049391243/53424087898744*y + 47691747560765/53424087898744

-162023447900382975/4380775207697008*y^8 + 8181090819645993/1095193801924252*y^7 + 103760488556105769/2190387603848504*y^6 - 18902132825386843/2190387603848504*y^5 - 83975986724293861/2190387603848504*y^4 - 14129057910391487/4380775207697008*y^3 - 4602771175413389/547596900962126*y^2 - 4612417212508193/4380775207697008*y - 34362064925808099/4380775207697008

1498078513084455/106848175797488*y^8 - 69172851575325/26712043949372*y^7 - 1003786632803897/53424087898744*y^6 + 199417199914395/53424087898744*y^5 + 651641721827445/53424087898744*y^4 + 148105339345463/106848175797488*y^3 + 68473468081933/13356021974686*y^2 - 135250829751/106848175797488*y + 410583704000635/106848175797488

41347814374917/26712043949372*y^8 - 2934932371419/26712043949372*y^7 - 100959761630335/26712043949372*y^6 + 6696690106333/26712043949372*y^5 + 120244571516301/26712043949372*y^4 + 695129702639/6678010987343*y^3 - 29602624437867/13356021974686*y^2 - 3957648857503/26712043949372*y + 13933630759675/13356021974686


# A Gluing Matrix
{{-1,2,0,2,0,2,2},{2,-1,-1,0,0,0,0},{0,-1,0,0,0,0,0},{0,0,0,1,0,2,1},{0,0,0,2,-1,2,2},{-2,0,0,2,-2,4,3},{0,0,0,0,0,1,0}}

# B Gluing Matrix
{{1,0,0,0,0,4,0},{0,1,0,0,0,0,0},{0,0,1,0,0,0,0},{0,0,0,1,0,2,1},{0,0,0,0,1,4,0},{0,0,0,0,0,6,1},{0,0,0,0,0,0,2}}

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

# f Combinatorial flattening
{-1, 0, -3, 5, -1, 2, -7}

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

# 1 Loop Invariant
-82217944879680339/1095193801924252*y^8 + 31556071887283689/2190387603848504*y^7 + 205289249458433087/2190387603848504*y^6 - 39522956578051589/2190387603848504*y^5 - 164496574668418081/2190387603848504*y^4 - 7897361653007803/2190387603848504*y^3 - 14258719379515985/1095193801924252*y^2 + 1648907603872371/273798450481063*y - 26370762999574857/2190387603848504

# 2 Loop Invariant
1137848090360755890865350264625809/148394425615078387948058790702012352*y^8 - 2882086649128898564314826037514407/9274651600942399246753674418875772*y^7 + 15555904450905821568723362430266425/74197212807539193974029395351006176*y^6 + 31041751851070724563766453982581581/222591638422617581922088186053018528*y^5 - 9573338052191864251430800110444673/222591638422617581922088186053018528*y^4 - 102689594264955699110871550155004141/445183276845235163844176372106037056*y^3 + 480403197755081161814508077644561/55647909605654395480522046513254632*y^2 - 73989499767973793331924915561778087/445183276845235163844176372106037056*y - 361875075097901349772811866554117385/445183276845235163844176372106037056

# 3 Loop Invariant
466964875085445839735392415779789018721549811/431838044614636585666807715598055500236523712*y^8 - 164228177456132691023738726252234878543740417/431838044614636585666807715598055500236523712*y^7 - 142396515337630678917054909653488900355529963/107959511153659146416701928899513875059130928*y^6 + 235219909075697429738914853404886273967893603/431838044614636585666807715598055500236523712*y^5 + 337246049346497916717905983502769200193270123/431838044614636585666807715598055500236523712*y^4 + 1551147502416141229248951558070196866714968/6747469447103696651043870556219617191195683*y^3 + 31128388048974393070667100826857427071431277/431838044614636585666807715598055500236523712*y^2 + 17777301632677356953341038085545714515931155/215919022307318292833403857799027750118261856*y + 96018383256809654066448234898110261592467305/431838044614636585666807715598055500236523712