# Manifold: Census Knot K5_14

# Number of Tetrahedra: 5

# Number Field
x^7 + 7*x^6 + 21*x^5 + 35*x^4 + 32*x^3 + 8*x^2 - 14*x - 11 

# Approximate Field Generator
-0.616528717303740 + 1.35819275576581*I

# Shape Parameters
-7/11*y^6 - 41/11*y^5 - 97/11*y^4 - 120/11*y^3 - 57/11*y^2 + 50/11*y + 7

12/11*y^6 + 64/11*y^5 + 138/11*y^4 + 157/11*y^3 + 60/11*y^2 - 70/11*y - 5

-1/11*y^6 - 7/11*y^5 - 21/11*y^4 - 35/11*y^3 - 32/11*y^2 - 8/11*y + 14/11

-1/11*y^6 - 7/11*y^5 - 21/11*y^4 - 35/11*y^3 - 32/11*y^2 - 8/11*y + 14/11

-5/11*y^6 - 23/11*y^5 - 52/11*y^4 - 70/11*y^3 - 47/11*y^2 + 9/11*y + 3


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

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

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

# f Combinatorial flattening
{-2, -1, 4, 0, -3}

# f' Combinatorial flattening
{1, 0, -4, 0, 0}

# 1 Loop Invariant
-188/11*y^6 - 1087/11*y^5 - 2602/11*y^4 - 3303/11*y^3 - 1776/11*y^2 + 873/11*y + 146

# 2 Loop Invariant
-21287850138329/334339468404744*y^6 - 5397060963058/13930811183531*y^5 - 321812895195107/334339468404744*y^4 - 418200368654677/334339468404744*y^3 - 118012585433233/167169734202372*y^2 + 272553453764555/668678936809488*y + 22743837147413/7598624281926

# 3 Loop Invariant
-1893121907839410085/125417532834477037528*y^6 - 18813899505111324881/250835065668954075056*y^5 - 79118125719600669607/501670131337908150112*y^4 - 94747175092866984789/501670131337908150112*y^3 - 90493102966463686591/1003340262675816300224*y^2 + 34835373672085945715/1003340262675816300224*y + 2507079456815891077/45606375576173468192

# 4 Loop Invariant
1502875334833843587244337155100387/228720170490074065608464340988542720*y^6 + 1669345489633292853915636104096087/50826704553349792357436520219676160*y^5 + 13915310651949751688871366435427789/228720170490074065608464340988542720*y^4 + 15144486426775520872972468605556291/304960227320098754144619121318056960*y^3 - 7366233946824639300136377907220767/457440340980148131216928681977085440*y^2 - 24072167499452005491839888445626873/304960227320098754144619121318056960*y - 1735991478192802120667112029102551/41585485543649830110629880179735040

# 5 Loop Invariant
-1352449841861231403648640669703212694575/137276138550869461625177087594243959425024*y^6 - 8111612517645127518200710464457283213125/137276138550869461625177087594243959425024*y^5 - 19688963707149656178687300261741742054075/137276138550869461625177087594243959425024*y^4 - 16888142414963385580131928428402072581639/91517425700579641083451391729495972950016*y^3 - 1894566746838146873450753733029277834367/17159517318858682703147135949280494928128*y^2 + 10713725673756566796109616138597030643317/274552277101738923250354175188487918850048*y + 915772142493619280570637263356077124981/12479648959169951056834280690385814493184