# Manifold: Census Knot K8_154

# Number of Tetrahedra: 8

# Number Field
x^8 + 5*x^7 + 34*x^6 - 16*x^5 + 21*x^4 - 36*x^3 - 17*x^2 - 178*x + 97 

# Approximate Field Generator
0.353844878588621 + 1.39305836271799*I

# Shape Parameters
1/361*y^7 + 4/361*y^6 + 30/361*y^5 - 46/361*y^4 + 67/361*y^3 - 103/361*y^2 + 86/361*y + 97/361

-64225940093/3592035596501*y^7 - 354790536354/3592035596501*y^6 - 2389810150518/3592035596501*y^5 - 331630088994/3592035596501*y^4 - 202331301894/326548690591*y^3 + 1331780060786/3592035596501*y^2 + 1756465062006/3592035596501*y + 12537590842314/3592035596501

15820107938/1667116999333*y^7 + 93022093956/1667116999333*y^6 + 599369100923/1667116999333*y^5 + 177209919705/1667116999333*y^4 - 163276101890/1667116999333*y^3 - 184494197652/1667116999333*y^2 - 561722800148/1667116999333*y - 2833348566852/1667116999333

79072754/17186773189*y^7 + 344951877/17186773189*y^6 + 2361400146/17186773189*y^5 - 3572888639/17186773189*y^4 - 764895634/17186773189*y^3 - 6302112164/17186773189*y^2 + 3316014933/17186773189*y - 2622589124/17186773189

4128259840/189054505079*y^7 + 22182196429/189054505079*y^6 + 147487053343/189054505079*y^5 - 16894256716/189054505079*y^4 + 3748873530/17186773189*y^3 - 117311055579/189054505079*y^2 - 128627605110/189054505079*y - 588596683656/189054505079

-123242165/34373546378*y^7 - 793878875/34373546378*y^6 - 2710457240/17186773189*y^5 - 6635525431/34373546378*y^4 - 7996084942/17186773189*y^3 - 25647066031/34373546378*y^2 - 4071572891/34373546378*y + 17867558693/34373546378

-29160150/17186773189*y^7 - 340706551/34373546378*y^6 - 1204398201/17186773189*y^5 - 938424812/17186773189*y^4 - 7080549795/34373546378*y^3 + 438024261/34373546378*y^2 + 8862178083/17186773189*y + 10414640565/34373546378

-113732059/34373546378*y^7 - 424438707/17186773189*y^6 - 2765510599/17186773189*y^5 - 9399352561/34373546378*y^4 - 9122914871/34373546378*y^3 - 6390502937/17186773189*y^2 - 8000111735/34373546378*y + 11525232998/17186773189


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

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

# nu Gluing Vector
{3, 1, 2, 3, 3, 1, 1, 4}

# f Combinatorial flattening
{13, 15, -7, -3, 3, -1, 3, 5}

# f' Combinatorial flattening
{0, -6, 0, 0, 2, 0, 0, 0}

# 1 Loop Invariant
658839042/17186773189*y^7 + 5178604081/34373546378*y^6 + 38123423121/34373546378*y^5 - 63117114915/34373546378*y^4 + 45477586572/17186773189*y^3 + 92323707601/34373546378*y^2 + 191556747385/34373546378*y - 192664102654/17186773189

# 2 Loop Invariant
23133629587335239682049579/17353627489421696516427497712*y^7 + 104326696389952775270379955/17353627489421696516427497712*y^6 + 370598975560673758706088011/8676813744710848258213748856*y^5 - 172808648769250657712190151/4338406872355424129106874428*y^4 + 1123177085007601951939766171/17353627489421696516427497712*y^3 - 192181819234365698924378849/5784542496473898838809165904*y^2 + 299696692768314073649745437/5784542496473898838809165904*y + 70608899847221976467919361673/5784542496473898838809165904

# 3 Loop Invariant
-2616164680429470923351619211713877/3355879445679216360591331270145283776*y^7 - 7428520426774633515896154814555765/1677939722839608180295665635072641888*y^6 - 96540518750912789820887889323070949/3355879445679216360591331270145283776*y^5 - 13366505678263833092601826440893519/3355879445679216360591331270145283776*y^4 + 7338078567669866893501854733224475/3355879445679216360591331270145283776*y^3 + 5884863197128072412055560803331271/1677939722839608180295665635072641888*y^2 + 159080191633456169171843678129620293/3355879445679216360591331270145283776*y + 515898842190154123779707736376745745/3355879445679216360591331270145283776

# 4 Loop Invariant
62905882339495585179125179364927743438890896977069277/50826889805874508055332169138290598060175983856574725120*y^7 + 354537507143995788068040296851398370580772309443620687/50826889805874508055332169138290598060175983856574725120*y^6 + 1182845079529491217347679148372070458834726811081850427/25413444902937254027666084569145299030087991928287362560*y^5 + 123799185308784390308203013841472071268353148986824107/12706722451468627013833042284572649515043995964143681280*y^4 + 724538072245251589735304696035260831258550422104753393/25413444902937254027666084569145299030087991928287362560*y^3 - 645614413582607797529961917342258671147613497973701859/16942296601958169351777389712763532686725327952191575040*y^2 - 1008347360018499554931869707417535513357639591662471/70592902508159038965739123803181386194688866467464896*y - 770949698079390611689920293383589565968271185625810479/2823716100326361558629564952127255447787554658698595840