# Manifold: Census Knot K7_70 # Number of Tetrahedra: 7 # Number Field x^7 - x^5 - 7*x^4 + 6*x^3 + 13*x^2 - 9*x - 2 # Approximate Field Generator 1.40701188069312 - 0.522758100897266*I # Shape Parameters -3/7*y^6 - 4/7*y^5 + 3*y^3 + 10/7*y^2 - 6*y - 8/7 124/49*y^6 + 107/49*y^5 - 3/7*y^4 - 128/7*y^3 - 26/49*y^2 + 215/7*y + 319/49 -64/487*y^6 - 101/487*y^5 - 103/487*y^4 + 567/487*y^3 - 136/487*y^2 - 864/487*y + 430/487 10197/19967*y^6 - 1067/19967*y^5 - 9073/19967*y^4 - 72282/19967*y^3 + 66290/19967*y^2 + 115501/19967*y - 88889/19967 106/487*y^6 - 61/487*y^5 - 149/487*y^4 - 863/487*y^3 + 834/487*y^2 + 1431/487*y - 1047/487 687/3896*y^6 - 177/1948*y^5 + 261/3896*y^4 - 5607/3896*y^3 + 1689/974*y^2 - 709/3896*y + 4135/3896 -155/487*y^6 - 237/487*y^5 - 44/487*y^4 + 1046/487*y^3 + 462/487*y^2 - 1849/487*y - 587/487 # A Gluing Matrix {{0,2,2,-2,2,2,-4},{-2,5,4,-4,4,4,-8},{0,1,1,-1,2,0,-2},{0,-1,-1,2,-2,0,2},{0,1,2,-2,1,2,-2},{0,1,0,0,2,0,0},{0,-2,-2,2,-2,0,3}} # B Gluing Matrix {{1,2,0,0,0,0,0},{0,4,0,0,0,0,0},{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 {2, 4, 1, 0, 1, 2, -1} # f Combinatorial flattening {-35, -10, 24, 1, 7, -8, 13} # f' Combinatorial flattening {30, 0, 0, 0, 0, -2, 0} # 1 Loop Invariant -133/974*y^6 - 474/487*y^5 - 1637/974*y^4 - 2147/974*y^3 + 924/487*y^2 + 883/974*y + 5931/974 # 2 Loop Invariant -2542699329719125/92463893746992112*y^6 - 4049829295500305/277391681240976336*y^5 - 162599295666389/46231946873496056*y^4 + 4667958638601063/23115973436748028*y^3 - 2801755267543721/23115973436748028*y^2 - 89124868656354799/277391681240976336*y + 17767504798737700069/138695840620488168 # 3 Loop Invariant 17536997101467519635617/1274071457462628938269888*y^6 - 7118884006383406281019/1274071457462628938269888*y^5 - 34995126807553196779253/1274071457462628938269888*y^4 - 112791277818739499098173/1274071457462628938269888*y^3 + 195881350650573752271619/1274071457462628938269888*y^2 + 172209939219920894519015/1274071457462628938269888*y - 134054762619254212999601/637035728731314469134944