# Manifold: Census Knot K7_45

# Number of Tetrahedra: 7

# Number Field
x^11 - x^10 + 7*x^9 - 11*x^8 + 23*x^7 - 50*x^6 + 54*x^5 - 99*x^4 + 103*x^3 - 6*x^2 - 13*x + 1 

# Approximate Field Generator
-0.311748622982898 - 1.96536808266215*I

# Shape Parameters
34609700/155659367*y^10 - 40350333/155659367*y^9 + 237394480/155659367*y^8 - 419190381/155659367*y^7 + 784603310/155659367*y^6 - 1809083337/155659367*y^5 + 1945543184/155659367*y^4 - 3378330181/155659367*y^3 + 3872636562/155659367*y^2 + 53441188/155659367*y - 652124783/155659367

263125030/6070715313*y^10 - 62845563/2023571771*y^9 + 1786606075/6070715313*y^8 - 178332220/466978101*y^7 + 5356851724/6070715313*y^6 - 11419175095/6070715313*y^5 + 10470354101/6070715313*y^4 - 23378360521/6070715313*y^3 + 6348032389/2023571771*y^2 + 655105129/2023571771*y + 952117319/6070715313

-43462283/155659367*y^10 + 42333612/155659367*y^9 - 301040698/155659367*y^8 + 467462385/155659367*y^7 - 974145008/155659367*y^6 + 2113940803/155659367*y^5 - 2254440697/155659367*y^4 + 4092783474/155659367*y^3 - 4259114752/155659367*y^2 - 127671106/155659367*y + 944605256/155659367

69473553/155659367*y^10 - 68658594/155659367*y^9 + 496547666/155659367*y^8 - 764894847/155659367*y^7 + 1661898155/155659367*y^6 - 3562570476/155659367*y^5 + 3923138406/155659367*y^4 - 7312089790/155659367*y^3 + 7587186842/155659367*y^2 - 1284470926/155659367*y - 3197453/155659367

-43462283/155659367*y^10 + 42333612/155659367*y^9 - 301040698/155659367*y^8 + 467462385/155659367*y^7 - 974145008/155659367*y^6 + 2113940803/155659367*y^5 - 2254440697/155659367*y^4 + 4092783474/155659367*y^3 - 4259114752/155659367*y^2 - 127671106/155659367*y + 944605256/155659367

6785971/155659367*y^10 + 738752/155659367*y^9 + 50574098/155659367*y^8 - 15058090/155659367*y^7 + 153452663/155659367*y^6 - 155823157/155659367*y^5 + 203135545/155659367*y^4 - 442261602/155659367*y^3 + 169314006/155659367*y^2 + 45440358/155659367*y + 17709590/155659367

-73289142/155659367*y^10 + 95353771/155659367*y^9 - 547568738/155659367*y^8 + 968878060/155659367*y^7 - 2000240336/155659367*y^6 + 4305379482/155659367*y^5 - 5267756267/155659367*y^4 + 8972425403/155659367*y^3 - 10378920052/155659367*y^2 + 3628250970/155659367*y - 121212831/155659367


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

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

# nu Gluing Vector
{-3, 4, 0, -4, 0, -4, 3}

# f Combinatorial flattening
{5, 1, 1, -3, 1, -1, -3}

# f' Combinatorial flattening
{0, 0, 0, 2, 0, 0, 0}

# 1 Loop Invariant
51220677/155659367*y^10 - 54491177/311318734*y^9 + 656597601/311318734*y^8 - 422775024/155659367*y^7 + 1758857339/311318734*y^6 - 4390993691/311318734*y^5 + 3005337159/311318734*y^4 - 4235708082/155659367*y^3 + 7083781695/311318734*y^2 + 1716699893/155659367*y + 729455898/155659367

# 2 Loop Invariant
-49346934572897385854028025785839/1690695300443809675529511003682218*y^10 + 61668574249433773734281796292889/3381390600887619351059022007364436*y^9 - 173041672978635450706390142772554/845347650221904837764755501841109*y^8 + 137435008656694576941466693156231/563565100147936558509837001227406*y^7 - 711971253504918372336010879188305/1127130200295873117019674002454812*y^6 + 1400649807988361210051262554265609/1127130200295873117019674002454812*y^5 - 2124637298322546291876567406447291/1690695300443809675529511003682218*y^4 + 8812651718783329717636470643592141/3381390600887619351059022007364436*y^3 - 1808203504836552160575172193721272/845347650221904837764755501841109*y^2 - 237237959045178458988646972452293/1690695300443809675529511003682218*y + 5900343872672843852306256164405737/6762781201775238702118044014728872

# 3 Loop Invariant
8410018779776234496447603617636911244755189/758251901842920427286525990192407043512009582*y^10 - 4760736541316175816790267763380370499909214/379125950921460213643262995096203521756004791*y^9 + 28720138511561386447641478955824502956027517/379125950921460213643262995096203521756004791*y^8 - 101606927235841653863506005134149068538391991/758251901842920427286525990192407043512009582*y^7 + 186647491109961487498155927396020297213662065/758251901842920427286525990192407043512009582*y^6 - 223190844801322809045877255823925104072581551/379125950921460213643262995096203521756004791*y^5 + 456692040647820517840978747775028592068975567/758251901842920427286525990192407043512009582*y^4 - 845071403334256344601765046339651528135676763/758251901842920427286525990192407043512009582*y^3 + 922177864449986544289418396657686826503160805/758251901842920427286525990192407043512009582*y^2 + 1413972180853999846198320650150652416570073/758251901842920427286525990192407043512009582*y - 115927196977551610508609100574981425437673189/758251901842920427286525990192407043512009582