# Manifold: Census Knot K8_300 # Number of Tetrahedra: 8 # Number Field x^5 + x^4 - 2*x^3 + x^2 + 2*x - 2 # Approximate Field Generator 0.629470541678740 + 0.840164202175860*I # Shape Parameters y^4 + 2*y^3 + y + 3 -y^4 + 2*y^2 - 2*y + 1 -1/2*y^4 - 1/2*y^3 + y^2 - 1/2*y y^4 + 2*y^3 + y + 3 -y^4 - 2*y^3 + y^2 - 3 1/2*y^3 + 1/2*y^2 + 3/2 -1/2*y^4 - 1/2*y^3 + y^2 - 1/2*y -y^4 - 2*y^3 + y^2 - 2 # A Gluing Matrix {{-1,0,-1,-1,0,1,0,1},{0,-2,1,-1,-2,1,0,1},{-1,1,-1,0,1,0,1,0},{-1,-1,0,-1,0,1,-1,0},{1,-1,1,0,0,-1,0,-1},{0,0,0,1,-2,1,1,2},{-1,-1,1,-1,-1,1,0,2},{-1,-1,0,0,-2,1,1,3}} # B Gluing Matrix {{1,0,0,0,0,0,0,1},{0,1,0,0,0,0,0,1},{0,0,1,0,0,0,0,0},{0,0,0,1,0,0,0,0},{0,0,0,0,1,0,0,0},{0,0,0,0,0,1,0,1},{0,0,0,0,0,0,1,1},{0,0,0,0,0,0,0,2}} # nu Gluing Vector {0, -1, 1, -1, 0, 1, 0, 0} # f Combinatorial flattening {0, 0, 1, 1, 1, 1, 1, 0} # f' Combinatorial flattening {1, 0, 0, 0, 0, 0, 0, 0} # 1 Loop Invariant -16*y^4 - 14*y^3 + 38*y^2 + 4*y - 40 # 2 Loop Invariant -11261177/451429656*y^4 + 21189893/902859312*y^3 + 58549811/902859312*y^2 + 16595245/150476552*y - 19094193/300953104 # 3 Loop Invariant -1895855623705/10441868896384*y^4 + 319684081765/10441868896384*y^3 + 1857413492821/5220934448192*y^2 - 6432064175471/10441868896384*y + 28509769373/81577100753 # 4 Loop Invariant -31991175451866754604957/141413078516751862917120*y^4 + 3646982758650666966263/70706539258375931458560*y^3 + 52455643999825780524569/141413078516751862917120*y^2 - 94154878216866333858821/141413078516751862917120*y + 5686052103039449459531/15712564279639095879680