# Manifold: Census Knot K8_280

# Number of Tetrahedra: 8

# Number Field
x^10 + 11*x^9 + 51*x^8 + 140*x^7 + 275*x^6 + 389*x^5 + 400*x^4 + 282*x^3 + 121*x^2 + 10*x + 1 

# Approximate Field Generator
-0.257917891118003 + 1.45957563620425*I

# Shape Parameters
-1005489/4278883*y^9 - 1681360/611269*y^8 - 58800137/4278883*y^7 - 174154706/4278883*y^6 - 364698948/4278883*y^5 - 560478025/4278883*y^4 - 633038750/4278883*y^3 - 72980427/611269*y^2 - 270249641/4278883*y - 61848987/4278883

67220/4278883*y^9 + 63381/611269*y^8 + 591190/4278883*y^7 - 1416428/4278883*y^6 - 5454196/4278883*y^5 - 14088089/4278883*y^4 - 16887574/4278883*y^3 - 2038998/611269*y^2 - 4837247/4278883*y + 4238764/4278883

1324422/4278883*y^9 + 2015570/611269*y^8 + 63157649/4278883*y^7 + 168509305/4278883*y^6 + 325894869/4278883*y^5 + 450221486/4278883*y^4 + 459448833/4278883*y^3 + 45255690/611269*y^2 + 139148886/4278883*y + 15010347/4278883

8449163/607601386*y^9 + 6855662/43400099*y^8 + 231514971/303800693*y^7 + 656456611/303800693*y^6 + 2561492505/607601386*y^5 + 1691853374/303800693*y^4 + 2902688825/607601386*y^3 + 187241633/86800198*y^2 - 317679505/607601386*y + 14105268/303800693

206869/4278883*y^9 + 285981/611269*y^8 + 8018734/4278883*y^7 + 20289663/4278883*y^6 + 41840164/4278883*y^5 + 60570018/4278883*y^4 + 65522988/4278883*y^3 + 7589567/611269*y^2 + 21372585/4278883*y + 4464589/4278883

785963/4278883*y^9 + 1262255/611269*y^8 + 42111684/4278883*y^7 + 118882712/4278883*y^6 + 238102883/4278883*y^5 + 343480000/4278883*y^4 + 358370409/4278883*y^3 + 36584883/611269*y^2 + 111070266/4278883*y + 10772306/4278883

-233573/4278883*y^9 - 289008/611269*y^8 - 6182261/4278883*y^7 - 8840961/4278883*y^6 - 10285726/4278883*y^5 - 7072517/4278883*y^4 - 3250578/4278883*y^3 - 1318940/611269*y^2 - 7022688/4278883*y - 364043/4278883

-3690213/4278883*y^9 - 5787070/611269*y^8 - 187125488/4278883*y^7 - 510862854/4278883*y^6 - 997636939/4278883*y^5 - 1401914565/4278883*y^4 - 1428163997/4278883*y^3 - 141608484/611269*y^2 - 410700028/4278883*y - 15454737/4278883


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

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

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

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

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

# 1 Loop Invariant
-2922879/4278883*y^9 - 9255519/1222538*y^8 - 295702299/8557766*y^7 - 380473708/4278883*y^6 - 1330684213/8557766*y^5 - 1636799285/8557766*y^4 - 1398092585/8557766*y^3 - 51482162/611269*y^2 - 94351658/4278883*y + 3122661/8557766

# 2 Loop Invariant
-3327036665442723385922501/222477022211114582290335404*y^9 - 10064657699568416306334605/63564863488889880654381544*y^8 - 115390499076784910841905251/166857766658335936717751553*y^7 - 97604453273289820640210623/55619255552778645572583851*y^6 - 2138554302405404815454318077/667431066633343746871006212*y^5 - 1856548254793797311611920959/444954044422229164580670808*y^4 - 645357932051508309741130658/166857766658335936717751553*y^3 - 64150100089378635458826349/27242084352381377423306376*y^2 - 909692232334168308231113935/1334862133266687493742012424*y + 44542708560697919242027169/166857766658335936717751553

# 3 Loop Invariant
-379184116304836939838586137922456449/224887810649871610001394724861131263504*y^9 - 100672663837845382662210340761877683/4589547156119828775538667854308801296*y^8 - 13824844817109221273874623647344923153/112443905324935805000697362430565631752*y^7 - 22769400920639903253790414933871703447/56221952662467902500348681215282815876*y^6 - 206329504561861728820223306306089146201/224887810649871610001394724861131263504*y^5 - 342297496676912830759039314474351701703/224887810649871610001394724861131263504*y^4 - 416338183204088297558976297497262647017/224887810649871610001394724861131263504*y^3 - 3246353196677922059888903992270501022/2007926880802425089298167186260100567*y^2 - 106835258647140034321143532798478927547/112443905324935805000697362430565631752*y - 61221360287935865798365720671550735299/224887810649871610001394724861131263504

# 4 Loop Invariant
90195733394173063159449421023204815511093659925442192024807/3578014485593059568348881863113334675503183250805429036509312*y^9 + 1408237806262823057897252790534662635575161073970697737494533/5111449265132942240498402661590478107861690358293470052156160*y^8 + 2264039964282499078524179081417486547005548862667709689211535/1789007242796529784174440931556667337751591625402714518254656*y^7 + 20475738010727590308926790073903724244720769972756732193501887/5963357475988432613914803105188891125838638751342381727515520*y^6 + 19874215388869816991255996040835035697839412315542005970065717/2981678737994216306957401552594445562919319375671190863757760*y^5 + 110646451163954937711567292062301979771505846255305402578165091/11926714951976865227829606210377782251677277502684763455031040*y^4 + 4169514578400848347431934490941595545429843508365773353408771/447251810699132446043610232889166834437897906350678629563664*y^3 + 4612764866225890041987189827323030680264244923196363437121843/730207037876134605785486094512925443980241479756210007450880*y^2 + 29561564726619116119241054994073944319941335072082071867321521/11926714951976865227829606210377782251677277502684763455031040*y - 35784836999436966265817565407107156005655347317627908796461/35780144855930595683488818631133346755031832508054290365093120