# Manifold: Census Knot K7_94 # Number of Tetrahedra: 7 # Number Field x^9 + 13/8*x^8 + 19/8*x^7 + 41/8*x^6 + 35/8*x^5 + 5*x^4 + 15/4*x^3 + 9/4*x^2 + 3/4*x + 1/4 # Approximate Field Generator 0.431349654233706 - 1.18873760651019*I # Shape Parameters -122464/28433*y^8 - 149680/28433*y^7 - 370009/56866*y^6 - 987991/56866*y^5 - 270915/28433*y^4 - 320773/28433*y^3 - 221111/28433*y^2 - 90882/28433*y + 32672/28433 152512/28433*y^8 + 207060/28433*y^7 + 548427/56866*y^6 + 673934/28433*y^5 + 862141/56866*y^4 + 506561/28433*y^3 + 371710/28433*y^2 + 107007/28433*y + 41713/28433 -187387/454928*y^8 + 5171161/3639424*y^7 + 2526575/1819712*y^6 + 3751999/3639424*y^5 + 3148555/454928*y^4 + 572099/227464*y^3 + 8148787/1819712*y^2 + 2815169/909856*y + 2755709/1819712 -62863/56866*y^8 - 706059/454928*y^7 - 439677/227464*y^6 - 2239421/454928*y^5 - 192693/56866*y^4 - 86301/28433*y^3 - 602577/227464*y^2 - 147131/113732*y + 121105/227464 -38427/56866*y^8 - 1246727/454928*y^7 - 693877/227464*y^6 - 1531825/454928*y^5 - 170902/28433*y^4 - 95503/28433*y^3 - 219805/227464*y^2 - 23955/113732*y + 93869/227464 171788/28433*y^8 + 511055/56866*y^7 + 318637/28433*y^6 + 1517721/56866*y^5 + 562462/28433*y^4 + 558902/28433*y^3 + 405773/28433*y^2 + 186969/28433*y - 2056/28433 -140294/28433*y^8 - 508479/113732*y^7 - 234906/28433*y^6 - 2177641/113732*y^5 - 192863/28433*y^4 - 487330/28433*y^3 - 363397/56866*y^2 - 104646/28433*y - 33369/56866 # A Gluing Matrix {{2,1,1,1,0,1,2},{1,0,1,2,0,0,2},{1,1,-1,1,1,0,-1},{1,2,1,-1,0,1,0},{0,0,1,0,0,1,2},{1,0,0,1,1,0,0},{2,2,-1,0,2,0,-1}} # B Gluing Matrix {{1,0,0,0,0,0,0},{0,1,0,0,0,0,0},{0,0,1,0,0,0,0},{0,0,0,1,0,0,0},{0,0,0,0,1,0,0},{0,0,0,0,0,1,0},{0,0,0,0,0,0,1}} # nu Gluing Vector {4, 4, 1, 1, 2, 2, 1} # f Combinatorial flattening {74, -40, -46, -19, -53, 34, 7} # f' Combinatorial flattening {-87, 0, 0, 0, 0, 0, 0} # 1 Loop Invariant 16174/28433*y^8 - 506221/113732*y^7 - 734269/56866*y^6 - 2648015/113732*y^5 - 1111795/28433*y^4 - 1082289/28433*y^3 - 1875939/56866*y^2 - 339653/28433*y + 49863/56866 # 2 Loop Invariant -2370825684839748781621/5353639352043925158924*y^8 - 12182065171305646107793/42829114816351401271392*y^7 - 25372695005886520686307/42829114816351401271392*y^6 - 11048916905631894803955/7138185802725233545232*y^5 - 1686697502891887290535/10707278704087850317848*y^4 - 28099521277386116836003/21414557408175700635696*y^3 - 1112904253321253042075/5353639352043925158924*y^2 - 4764279391595952440819/21414557408175700635696*y + 8662535163529196664823159/10707278704087850317848 # 3 Loop Invariant -319547784724261949017378652953/1788300237002130715773365332768*y^8 - 2562594991304166839966380221649/14306401896017045726186922662144*y^7 - 7283233821943186091171132490301/28612803792034091452373845324288*y^6 - 20353144696460699685596272517259/28612803792034091452373845324288*y^5 - 889746335831425703547398938067/3576600474004261431546730665536*y^4 - 951104273572631138091929689213/1788300237002130715773365332768*y^3 - 1647129211250102821790638192131/7153200948008522863093461331072*y^2 - 1389857873150155227698400416415/14306401896017045726186922662144*y + 573842871776609483388961964887/14306401896017045726186922662144