# Manifold: Census Knot K6_37 # Number of Tetrahedra: 6 # Number Field x^7 + x^6 + x^5 - x^3 - x^2 - x + 1 # Approximate Field Generator 0.0245908625414198 - 1.14203791969888*I # Shape Parameters -y^6 - y^4 + y^3 + y -y^6 - 2*y^5 - 2*y^4 - y^3 + y + 2 -y^6 - 2*y^5 - 2*y^4 - y^3 + y + 2 -y^6 - 2*y^5 - 3*y^4 - 3*y^3 - 2*y^2 - y + 1 -2*y^6 - 4*y^5 - 5*y^4 - 4*y^3 - y^2 + y + 3 -y^6 - 2*y^5 - 3*y^4 - 3*y^3 - 2*y^2 - y + 1 # A Gluing Matrix {{-1,0,0,-1,2,-1},{0,1,0,0,1,-1},{0,0,1,-1,1,0},{-2,-1,-1,-2,2,-2},{2,1,1,1,0,1},{-2,-2,0,-3,2,-1}} # B Gluing Matrix {{1,0,0,0,0,0},{0,1,0,0,0,0},{0,0,1,0,0,0},{0,0,0,1,0,1},{0,0,0,0,1,0},{0,0,0,0,0,2}} # nu Gluing Vector {1, 1, 1, 0, 2, 0} # f Combinatorial flattening {3, 3, -3, -4, 0, 0} # f' Combinatorial flattening {0, -2, 0, -2, 0, 0} # 1 Loop Invariant -7*y^6 - 6*y^5 - 3*y^4 + y^3 + y^2 + 3*y + 6 # 2 Loop Invariant -1208704317571/8995901910936*y^6 - 982963692665/17991803821872*y^5 - 1346210693875/17991803821872*y^4 + 290936791595/1499316985156*y^3 - 283667698655/8995901910936*y^2 + 1450941081245/5997267940624*y - 7734395335591/17991803821872 # 3 Loop Invariant 382796812212171385/1835862671546026696*y^6 + 117982933395786259/14686901372368213568*y^5 + 788569379667802795/3671725343092053392*y^4 - 3661970352593472323/14686901372368213568*y^3 + 1685233822438517221/14686901372368213568*y^2 - 1399872758902980047/3671725343092053392*y + 105441959495445411/458965667886506674