# Manifold: Census Knot K8_203 # Number of Tetrahedra: 8 # Number Field x^6 - 7/5*x^5 - 11*x^4 - 66/5*x^3 - 33/5*x^2 - 7/5*x - 1/5 # Approximate Field Generator -0.610124027573905 - 0.312557051026520*I # Shape Parameters 1640/473*y^5 - 2466/473*y^4 - 18217/473*y^3 - 18332/473*y^2 - 6801/473*y - 48/473 2605/473*y^5 - 5287/473*y^4 - 26189/473*y^3 - 16169/473*y^2 + 1139/473*y + 3154/473 3695/1892*y^5 - 3189/946*y^4 - 38213/1892*y^3 - 37317/1892*y^2 - 3896/473*y - 535/1892 1225/473*y^5 - 4405/946*y^4 - 24835/946*y^3 - 11530/473*y^2 - 11057/946*y - 1583/946 -305/172*y^5 + 91/86*y^4 + 3903/172*y^3 + 6359/172*y^2 + 768/43*y + 505/172 15/344*y^5 - 231/344*y^4 + 137/172*y^3 + 907/172*y^2 + 1251/344*y + 525/344 6265/1892*y^5 - 3534/473*y^4 - 57459/1892*y^3 - 31331/1892*y^2 - 5113/946*y - 2433/1892 5*y^5 - 7*y^4 - 55*y^3 - 66*y^2 - 33*y - 6 # A Gluing Matrix {{1,1,-1,-2,-3,-2,2,1},{-1,3,-2,-2,-4,-2,2,0},{0,-1,1,1,2,2,-1,0},{0,-1,1,2,2,2,-2,-1},{0,-2,2,2,4,3,-3,-1},{0,-1,2,2,3,3,-2,-1},{1,1,-1,-3,-4,-3,3,1},{1,0,0,-2,-2,-2,1,1}} # B Gluing Matrix {{1,1,0,0,0,0,0,1},{0,2,0,0,0,0,0,0},{0,0,1,0,0,0,0,0},{0,0,0,1,0,0,0,0},{0,0,0,0,1,0,0,0},{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, 0, 1, 0, 0, 1, 0, 0} # f Combinatorial flattening {1, 1, 0, 0, 0, 1, 0, 1} # f' Combinatorial flattening {0, 0, 0, 0, 0, 0, 0, 0} # 1 Loop Invariant -14695/473*y^5 + 65391/946*y^4 + 270697/946*y^3 + 162073/946*y^2 + 46271/946*y + 1503/473 # 2 Loop Invariant 91548407712145865/99494943311189184*y^5 - 9714631001080171/6218433956949324*y^4 - 319494005810758415/33164981103729728*y^3 - 309937443557332409/33164981103729728*y^2 - 171640402453520639/49747471655594592*y - 20810776588651015/99494943311189184 # 3 Loop Invariant 438953896962992803497295/2568802963914057334023296*y^5 - 559349281177424188776903/2568802963914057334023296*y^4 - 2478197963831866795613607/1284401481957028667011648*y^3 - 6304481965378254669984705/2568802963914057334023296*y^2 - 3101919093138875498642965/2568802963914057334023296*y - 234853850119130866945657/1284401481957028667011648 # 4 Loop Invariant -6864729495449526705569578000542893495/405258306457046336487172427213614565376*y^5 + 23626042580876566578760023921358347157/405258306457046336487172427213614565376*y^4 + 33505407869837679289944685023087379979/253286441535653960304482767008509103360*y^3 - 305558900891744750341247580115845761837/2026291532285231682435862136068072826880*y^2 - 572579445340086223279083237309120065299/2026291532285231682435862136068072826880*y - 120751586706685180529741800027384714931/1013145766142615841217931068034036413440