# Manifold: Census Knot K7_77 # Number of Tetrahedra: 7 # Number Field x^9 + 3*x^8 + 7*x^7 + 16*x^6 + 34*x^5 + 24*x^4 + 16*x^3 - 8*x + 8 # Approximate Field Generator 0.677819597663745 + 2.08226270874580*I # Shape Parameters -2071/21122*y^8 - 2705/10561*y^7 - 6447/10561*y^6 - 28519/21122*y^5 - 31955/10561*y^4 - 15491/10561*y^3 - 17196/10561*y^2 - 74/10561*y - 1361/10561 -23/10561*y^8 - 1985/84488*y^7 - 3833/84488*y^6 - 11157/84488*y^5 - 3285/10561*y^4 - 10831/21122*y^3 - 8203/42244*y^2 - 17163/21122*y + 7364/10561 -3177/84488*y^8 - 1235/10561*y^7 - 11481/42244*y^6 - 54601/84488*y^5 - 14648/10561*y^4 - 12031/10561*y^3 - 18845/21122*y^2 - 7349/21122*y + 13691/21122 1887/21122*y^8 + 3425/21122*y^7 + 9061/21122*y^6 + 8681/10561*y^5 + 18815/10561*y^4 - 6171/10561*y^3 + 8993/10561*y^2 - 34252/10561*y + 20256/10561 -24783/390757*y^8 - 78697/390757*y^7 - 367307/781514*y^6 - 421212/390757*y^5 - 915480/390757*y^4 - 751575/390757*y^3 - 483119/390757*y^2 - 150288/390757*y + 167025/390757 1107177/28916018*y^8 + 1851711/14458009*y^7 + 4096659/14458009*y^6 + 18373757/28916018*y^5 + 19588016/14458009*y^4 + 14852419/14458009*y^3 + 4096854/14458009*y^2 - 3179346/14458009*y + 7821776/14458009 5961/42244*y^8 + 13741/42244*y^7 + 30907/42244*y^6 + 17397/10561*y^5 + 36409/10561*y^4 + 3811/10561*y^3 + 8353/10561*y^2 - 17196/10561*y + 9126/10561 # A Gluing Matrix {{4,-1,3,-11,4,12,22},{3,-1,2,-7,2,8,14},{3,-2,4,-10,4,12,22},{1,-1,2,-4,1,6,9},{4,-2,4,-11,4,12,22},{0,0,0,0,0,1,2},{4,-2,4,-12,4,14,25}} # B Gluing Matrix {{1,0,0,0,0,0,28},{0,1,0,0,0,0,18},{0,0,1,0,0,0,28},{0,0,0,1,0,0,12},{0,0,0,0,1,0,28},{0,0,0,0,0,1,2},{0,0,0,0,0,0,32}} # nu Gluing Vector {4, 3, 4, 2, 4, 1, 4} # f Combinatorial flattening {2, 1, 1, 2, 1, 1, 0} # f' Combinatorial flattening {0, 0, 0, 0, 0, 0, 0} # 1 Loop Invariant 24959/21122*y^8 + 34099/10561*y^7 + 85280/10561*y^6 + 208136/10561*y^5 + 905261/21122*y^4 + 348524/10561*y^3 + 412183/10561*y^2 + 156650/10561*y - 44878/10561 # 2 Loop Invariant -1824254716174800150993063/72612806531970662406485056*y^8 - 6123140271289207404825565/108919209797955993609727584*y^7 - 2468193376792076987910951/18153201632992665601621264*y^6 - 67840212579703972231922959/217838419595911987219455168*y^5 - 2954213988353761307352643/4538300408248166400405316*y^4 - 11258311728972066827420099/54459604898977996804863792*y^3 - 10447387848434742708597241/27229802449488998402431896*y^2 + 3478002395555598474556649/54459604898977996804863792*y + 1537130896082059597940829/9076600816496332800810632 # 3 Loop Invariant 797756766712630246019349818006304659/91819972136182127447914653670567471744*y^8 + 714054578437242037667901856965413265/45909986068091063723957326835283735872*y^7 + 2005697065331453404405906674583588709/45909986068091063723957326835283735872*y^6 + 8255960111502386003666050872591488007/91819972136182127447914653670567471744*y^5 + 8974464676118517146205778957353363843/45909986068091063723957326835283735872*y^4 - 146630195442351489910420647081422981/22954993034045531861978663417641867936*y^3 + 3963724450889453924385951423127061183/22954993034045531861978663417641867936*y^2 - 1940271792687151010784500609488464687/11477496517022765930989331708820933968*y + 1965510808258198343457160120382445719/22954993034045531861978663417641867936