# Manifold: Census Knot K8_217

# Number of Tetrahedra: 8

# Number Field
x^10 - 4*x^9 + x^8 + 24*x^7 - 65*x^6 + 30*x^5 + 48*x^4 - 52*x^3 - 12*x^2 + 24*x + 8 

# Approximate Field Generator
-0.448630260054510 - 0.0834770151424714*I

# Shape Parameters
-306153/460436*y^9 + 352679/115109*y^8 - 19871/7804*y^7 - 1643221/115109*y^6 + 23810897/460436*y^5 - 11958673/230218*y^4 + 228641/115109*y^3 + 59491/1951*y^2 - 1342716/115109*y - 935157/115109

-7643/230218*y^9 + 58829/460436*y^8 + 33/1951*y^7 - 410701/460436*y^6 + 231882/115109*y^5 - 44773/460436*y^4 - 722257/230218*y^3 + 3783/1951*y^2 + 68809/115109*y - 45654/115109

-150983/1381308*y^9 + 97433/230218*y^8 - 1243/23412*y^7 - 1840411/690654*y^6 + 9544697/1381308*y^5 - 876397/345327*y^4 - 4297823/690654*y^3 + 43880/5853*y^2 - 271571/345327*y - 439262/345327

-137287/460436*y^9 + 608743/460436*y^8 - 1667/1951*y^7 - 3145441/460436*y^6 + 5130033/230218*y^5 - 8412147/460436*y^4 - 3182357/460436*y^3 + 70257/3902*y^2 - 954361/230218*y - 487968/115109

-15821/23412*y^9 + 24879/7804*y^8 - 68129/23412*y^7 - 335177/23412*y^6 + 1267637/23412*y^5 - 1354969/23412*y^4 + 74497/11706*y^3 + 360299/11706*y^2 - 67541/5853*y - 47501/5853

-165703/460436*y^9 + 189417/115109*y^8 - 9507/7804*y^7 - 943301/115109*y^6 + 12867053/460436*y^5 - 5766057/230218*y^4 - 1533681/230218*y^3 + 43467/1951*y^2 - 750387/115109*y - 734393/115109

-28729/115109*y^9 + 127034/115109*y^8 - 2893/3902*y^7 - 1291141/230218*y^6 + 2148600/115109*y^5 - 3653163/230218*y^4 - 1000483/230218*y^3 + 30254/1951*y^2 - 411868/115109*y - 420024/115109

-22019/460436*y^9 + 46983/230218*y^8 - 871/7804*y^7 - 255201/230218*y^6 + 1612243/460436*y^5 - 608835/230218*y^4 - 189766/115109*y^3 + 8604/1951*y^2 - 227527/115109*y - 133205/115109


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

# 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
{0, 0, -1, 0, 2, 1, 1, 1}

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

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

# 1 Loop Invariant
-1370907/460436*y^9 + 1488972/115109*y^8 - 60095/7804*y^7 - 7831499/115109*y^6 + 100053205/460436*y^5 - 38829247/230218*y^4 - 16229461/230218*y^3 + 340338/1951*y^2 - 4137662/115109*y - 5420536/115109

# 2 Loop Invariant
-17751622991500325978599/427247625046384813739904*y^9 + 25995809609200077702799/142415875015461604579968*y^8 - 741936714436541686541/7241485170277708707456*y^7 - 211579889818998896670389/213623812523192406869952*y^6 + 29894128093006187602289/9710173296508745766816*y^5 - 7497898168562491519183/3337872070674881357343*y^4 - 21378726605767283714737/13351488282699525429372*y^3 + 10453207110721565458679/3620742585138854353728*y^2 - 67919672562438241316245/106811906261596203434976*y - 101896593222498451333459/106811906261596203434976

# 3 Loop Invariant
180461575477727533894786230453/4148625202547846497061967010816*y^9 - 46610448413936249329923816803321/224025760937583710841346218584064*y^8 + 778289837051345221823297239499/3797046795552266285446546077696*y^7 + 99941170994029531342082945173537/112012880468791855420673109292032*y^6 - 1835321975483062556327139262893/518578150318480812132745876352*y^5 + 10296865837863655176748280580023/2545747283381633077742570665728*y^4 - 51626615388138838322443308680417/56006440234395927710336554646016*y^3 - 15403744213248319616937804899/8789460174889505290385523328*y^2 + 6190159155329195792730452161751/7000805029299490963792069330752*y + 1644467542489040479086052665911/3500402514649745481896034665376

# 4 Loop Invariant
3354413621795778980258550198561471964809200609099221/12472674722627050042526909982636813175116763146485760*y^9 - 5271648444889625072648730265360253152105306697883853/4157558240875683347508969994212271058372254382161920*y^8 + 49707050027498404576723487860981888129165668426109/42280253297040847601786135534362078559717841174528*y^7 + 17505618558604734601934355021203510289462320663100583/3118168680656762510631727495659203293779190786621440*y^6 - 3047139357462397831964813193539199326616914079036073/141734940029852841392351249802691058808145035755520*y^5 + 4568744720432688973872385881299196402406587804619151/194885542541047656914482968478700205861199424163840*y^4 - 2393972365484550637850713851830525223050048778498209/623633736131352502126345499131840658755838157324288*y^3 - 298722098503041023322715712062927804634003915281919/26425158310650529751116334708976299099823650734080*y^2 + 7579683603965510760156228799262395888226281506311657/1559084340328381255315863747829601646889595393310720*y + 2358195005665550039828945939324619977734988842767673/779542170164190627657931873914800823444797696655360