# Manifold: Census Knot K8_241 # Number of Tetrahedra: 8 # Number Field x^9 + 6*x^7 + x^6 + 9*x^5 + 2*x^4 + 6*x^3 + x^2 + 2*x + 1 # Approximate Field Generator -0.450985225881137 + 0.808297172170988*I # Shape Parameters -18/61*y^8 - 3/61*y^7 - 139/61*y^6 - 31/61*y^5 - 340/61*y^4 - 52/61*y^3 - 320/61*y^2 + 10/61*y - 136/61 -18/61*y^8 - 3/61*y^7 - 139/61*y^6 - 31/61*y^5 - 340/61*y^4 - 52/61*y^3 - 320/61*y^2 + 10/61*y - 136/61 31/61*y^8 - 5/61*y^7 + 175/61*y^6 - 11/61*y^5 + 206/61*y^4 - 46/61*y^3 + 36/61*y^2 - 24/61*y + 58/61 13/61*y^8 - 8/61*y^7 + 97/61*y^6 - 42/61*y^5 + 171/61*y^4 - 37/61*y^3 + 21/61*y^2 - 14/61*y - 17/61 17/61*y^8 - 48/61*y^7 + 94/61*y^6 - 252/61*y^5 + 50/61*y^4 - 283/61*y^3 - 57/61*y^2 - 84/61*y + 20/61 58/61*y^8 - 31/61*y^7 + 353/61*y^6 - 117/61*y^5 + 533/61*y^4 - 90/61*y^3 + 394/61*y^2 - 39/61*y + 201/61 2/61*y^8 - 20/61*y^7 + 29/61*y^6 - 105/61*y^5 + 92/61*y^4 - 62/61*y^3 + 83/61*y^2 + 26/61*y + 49/61 5/61*y^8 + 11/61*y^7 + 42/61*y^6 + 73/61*y^5 + 108/61*y^4 + 150/61*y^3 + 55/61*y^2 + 126/61*y + 31/61 # A Gluing Matrix {{0,0,-1,0,0,0,0,0},{0,0,-1,0,0,0,0,0},{-1,-1,1,-1,0,0,0,0},{0,0,-1,1,-1,0,-1,1},{0,0,0,0,0,1,-1,0},{0,0,0,0,0,0,0,1},{0,0,0,0,0,1,0,-1},{0,0,0,1,-1,1,-2,1}} # B Gluing Matrix {{1,0,0,0,0,0,0,0},{0,1,0,0,0,0,0,0},{0,0,1,0,0,0,0,0},{0,0,0,1,0,0,0,1},{0,0,0,0,1,0,0,1},{0,0,0,0,0,1,0,1},{0,0,0,0,0,0,1,0},{0,0,0,0,0,0,0,2}} # nu Gluing Vector {0, 0, -1, 0, 0, 1, 0, 0} # f Combinatorial flattening {1, 0, 0, 0, 0, 1, 1, 1} # f' Combinatorial flattening {0, 0, 0, 0, 0, 0, 0, 0} # 1 Loop Invariant y^8 - 3/2*y^7 + 6*y^6 - 7*y^5 + 15/2*y^4 - 11/2*y^3 + 9/2*y^2 + 3/2*y + 5/2 # 2 Loop Invariant 491904233000829509/5971490122705696668*y^8 - 295536689687694701/2985745061352848334*y^7 + 1250372298722316971/2985745061352848334*y^6 - 1355935042902855289/2985745061352848334*y^5 + 124755819589849655/497624176892141389*y^4 - 645676966628016403/1492872530676424167*y^3 - 63386890007402759/5971490122705696668*y^2 - 88487007612674283/995248353784282778*y + 154205345857945175/5971490122705696668 # 3 Loop Invariant 22929354524132552196307/89891222446399457732091754*y^8 - 456005797964635991991477/44945611223199728866045877*y^7 + 442019401124656662819099/44945611223199728866045877*y^6 - 5283288358835122062312589/89891222446399457732091754*y^5 + 2734393247783526801384619/89891222446399457732091754*y^4 - 3294021124468034576763917/44945611223199728866045877*y^3 - 12663129997357524761561/44945611223199728866045877*y^2 - 1498793005849906507541609/44945611223199728866045877*y - 317678114494046952168221/44945611223199728866045877 # 4 Loop Invariant -90542229716447014476002370233183555846591/21999366678549793953943169562590080961806380*y^8 + 40946961268525663452655863673213787022053/65998100035649381861829508687770242885419140*y^7 - 644396637162606931700360068393246320272341/29332488904733058605257559416786774615741840*y^6 - 20538408526072154616334189633180133907269/26399240014259752744731803475108097154167656*y^5 - 1389715971787850104045071893269155601866107/65998100035649381861829508687770242885419140*y^4 - 1104826279216202508373940573390280701839537/131996200071298763723659017375540485770838280*y^3 - 1052525765785073445150838472815085732689753/65998100035649381861829508687770242885419140*y^2 - 3220713955725902391860595846116565130543147/263992400142597527447318034751080971541676560*y - 624632469366594195730353685171965166933475/52798480028519505489463606950216194308335312