# Manifold: Census Knot K7_5

# Number of Tetrahedra: 7

# Number Field
x^11 - 6*x^10 + 9*x^9 - 19*x^8 - 6*x^7 + 8*x^6 - 11*x^5 + 13*x^4 + x - 1 

# Approximate Field Generator
0.00348021061810659 - 0.595117054617896*I

# Shape Parameters
-2082478/1070531*y^10 + 11749737/1070531*y^9 - 14891698/1070531*y^8 + 36411845/1070531*y^7 + 21743126/1070531*y^6 - 45525/1070531*y^5 + 21828580/1070531*y^4 - 1568417/97321*y^3 + 61188/97321*y^2 - 458320/97321*y + 140248/1070531

158223/97321*y^10 - 130110/13903*y^9 + 1183565/97321*y^8 - 2608724/97321*y^7 - 1713211/97321*y^6 + 1019803/97321*y^5 - 1137487/97321*y^4 + 1190747/97321*y^3 + 187316/97321*y^2 + 40955/97321*y + 195444/97321

112663/97321*y^10 - 89244/13903*y^9 + 634958/97321*y^8 - 1297206/97321*y^7 - 1971806/97321*y^6 + 1314802/97321*y^5 + 617009/97321*y^4 + 244169/97321*y^3 + 57635/97321*y^2 - 128980/97321*y - 28760/97321

1/11*y^10 - 5/11*y^9 + 4/11*y^8 - 15/11*y^7 - 21/11*y^6 - 13/11*y^5 - 24/11*y^4 - y^3 - y^2 - y + 1/11

1/11*y^10 - 5/11*y^9 + 4/11*y^8 - 15/11*y^7 - 21/11*y^6 - 13/11*y^5 - 24/11*y^4 - y^3 - y^2 - y + 1/11

122649/97321*y^10 - 711258/97321*y^9 + 1013125/97321*y^8 - 2426345/97321*y^7 - 828193/97321*y^6 - 94158/97321*y^5 - 1855307/97321*y^4 + 1356316/97321*y^3 - 109017/97321*y^2 + 383871/97321*y + 288833/97321

-10956/97321*y^10 + 98176/97321*y^9 - 311980/97321*y^8 + 609993/97321*y^7 - 706551/97321*y^6 + 68856/97321*y^5 + 506320/97321*y^4 - 585219/97321*y^3 + 605769/97321*y^2 - 342355/97321*y + 83213/97321


# A Gluing Matrix
{{6,6,4,3,3,2,3},{6,8,4,4,4,2,4},{4,4,4,2,2,2,2},{6,8,4,5,5,2,5},{6,8,4,4,6,2,5},{2,2,2,1,1,2,1},{6,8,4,5,5,2,6}}

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

# nu Gluing Vector
{6, 8, 4, 10, 10, 2, 10}

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

# f' Combinatorial flattening
{6, 8, 4, 10, 0, 2, 0}

# 1 Loop Invariant
662315/97321*y^10 - 3606648/97321*y^9 + 3619656/97321*y^8 - 8510037/97321*y^7 - 11788192/97321*y^6 + 4874921/97321*y^5 - 2081767/97321*y^4 + 3061192/97321*y^3 + 5499233/97321*y^2 - 631599/97321*y - 181144/97321

# 2 Loop Invariant
2381920987632853329269199611893/31046840610820341203054036090064*y^10 - 595576679851361475978925300501/1293618358784180883460584837086*y^9 + 21247282937143539617672909637155/31046840610820341203054036090064*y^8 - 14673855403895386981239436103461/10348946870273447067684678696688*y^7 - 8094575486741469438861979656631/15523420305410170601527018045032*y^6 + 11368179511066418420341739376575/15523420305410170601527018045032*y^5 - 24980599079417067810118714333769/31046840610820341203054036090064*y^4 + 9226175806024132526542789743109/10348946870273447067684678696688*y^3 + 724278545190863000115588018595/15523420305410170601527018045032*y^2 - 467015217141878828501255389223/5174473435136723533842339348344*y + 87527171261049794211016939581151/7761710152705085300763509022516

# 3 Loop Invariant
6844727992596192202859446692220487598588713/988229966419642199672880492350884821523441888*y^10 - 59381390135989803982667481317475222236619761/1976459932839284399345760984701769643046883776*y^9 - 7367667507692072970414646245442533964463585/988229966419642199672880492350884821523441888*y^8 - 50527231134508524658884162176277204237467733/1976459932839284399345760984701769643046883776*y^7 - 504356956108539275591850919101992790402842593/1976459932839284399345760984701769643046883776*y^6 - 17398295907741606021440022898231523524070683/988229966419642199672880492350884821523441888*y^5 + 12334789938345148401046218885601162776093565/247057491604910549918220123087721205380860472*y^4 - 49611233413139183772743705874714290049561357/1976459932839284399345760984701769643046883776*y^3 + 210262460881275722501472558775858924750731569/1976459932839284399345760984701769643046883776*y^2 + 6565681030691304432402001141104467269049003/988229966419642199672880492350884821523441888*y - 1912541785990027111227201854156481982100307/988229966419642199672880492350884821523441888