# Manifold: Census Knot K6_23 # Number of Tetrahedra: 6 # Number Field x^8 + 22/41*x^7 + 31/41*x^6 + 24/41*x^5 + 7/41*x^4 + 6/41*x^3 + 1/41*x^2 - 1/41 # Approximate Field Generator -0.372420303569440 - 0.399372534096881*I # Shape Parameters -260473/24318*y^7 + 76427/24318*y^6 + 14902/12159*y^5 - 72193/12159*y^4 - 2207/4053*y^3 + 3911/2702*y^2 + 9973/24318*y + 11470/12159 162565/24318*y^7 - 46462/12159*y^6 - 48701/24318*y^5 - 61217/12159*y^4 - 3706/1351*y^3 + 799/8106*y^2 - 9332/12159*y + 631/24318 162565/24318*y^7 - 46462/12159*y^6 - 48701/24318*y^5 - 61217/12159*y^4 - 3706/1351*y^3 + 799/8106*y^2 - 9332/12159*y + 631/24318 9553/1158*y^7 + 9697/579*y^6 + 18733/1158*y^5 + 2555/386*y^4 + 5881/1158*y^3 + 1201/579*y^2 - 149/386*y - 275/579 199424/85113*y^7 - 1397735/170226*y^6 - 722723/170226*y^5 - 296893/170226*y^4 - 177221/56742*y^3 + 8427/18914*y^2 + 15781/85113*y + 45446/85113 177899/12159*y^7 + 32533/24318*y^6 + 172675/24318*y^5 + 91909/12159*y^4 + 2015/4053*y^3 + 6002/1351*y^2 + 19991/24318*y + 38455/24318 # A Gluing Matrix {{0,0,0,0,-1,1},{0,0,0,0,0,-1},{0,0,0,0,0,-1},{0,0,0,-1,2,0},{-1,0,0,2,-1,1},{1,-1,-1,0,1,0}} # B Gluing Matrix {{1,0,0,0,0,0},{0,1,0,0,0,0},{0,0,1,0,0,0},{0,0,0,1,0,0},{0,0,0,0,1,0},{0,0,0,0,0,1}} # nu Gluing Vector {0, 0, 0, 1, 1, 0} # f Combinatorial flattening {-3, -3, 0, -1, 0, 0} # f' Combinatorial flattening {0, 0, 0, 0, 0, 0} # 1 Loop Invariant 102377/24318*y^7 - 470027/12159*y^6 - 980177/48636*y^5 - 954851/24318*y^4 - 77330/4053*y^3 - 16395/2702*y^2 - 93895/12159*y + 42211/48636 # 2 Loop Invariant 53559851172637341017/44172412309765531512*y^7 - 20285526866083967041/44172412309765531512*y^6 + 111917774530063553/44172412309765531512*y^5 - 36345241543740346787/44172412309765531512*y^4 - 4757620185221007373/14724137436588510504*y^3 + 680925977920603663/7362068718294255252*y^2 - 622229966363427448/5521551538720691439*y - 15976297109737867771/44172412309765531512 # 3 Loop Invariant -4526475090520577581273217/39221257290683662807850643*y^7 - 52615607759251126475881613/156885029162734651231402572*y^6 + 4532479849117409596193411/78442514581367325615701286*y^5 - 4663160058969410642426305/39221257290683662807850643*y^4 - 273247316591387161715284/13073752430227887602616881*y^3 + 1002289769456731141220309/26147504860455775205233762*y^2 + 3683313608566116542748329/156885029162734651231402572*y + 14235413013704202197933/78442514581367325615701286