# Manifold: H T Link Exterior K8n1 # Number of Tetrahedra: 5 # Number Field x^5 - 5/2*x^3 + 3/2*x - 1/2 # Approximate Field Generator -1.17737775640167 - 0.250912995177479*I # Shape Parameters 4*y^4 + 2*y^3 - 8*y^2 - 5*y + 3 -6*y^4 - 2*y^3 + 15*y^2 + 5*y - 8 -2*y^4 - 2*y^3 + 5*y^2 + 4*y - 2 2*y^4 - 5*y^2 - y + 3 -2*y^4 - 2*y^3 + 5*y^2 + 4*y - 2 # A Gluing Matrix {{0,0,-1,0,0},{-1,0,-1,1,1},{0,0,0,1,-1},{0,1,1,-1,0},{-1,1,-2,0,1}} # B Gluing Matrix {{1,0,0,0,1},{0,1,0,0,1},{0,0,1,0,0},{0,0,0,1,0},{0,0,0,0,2}} # nu Gluing Vector {0, 1, 0, 1, 0} # f Combinatorial flattening {-2, 0, 1, 0, 0} # f' Combinatorial flattening {1, 0, 0, 0, 0} # 1 Loop Invariant 3*y^4 + 6*y^3 - 21/2*y^2 - 8*y + 7 # 2 Loop Invariant -233577/537289*y^4 - 1718637/4298312*y^3 + 947893/1074578*y^2 + 7966235/12894936*y - 3729263/12894936 # 3 Loop Invariant -1959231743/25205301568*y^4 - 565298073/50410603136*y^3 + 1645169109/6301325392*y^2 + 7368978295/50410603136*y - 3861534615/50410603136 # 4 Loop Invariant -807090654386933533/2600166004640477184*y^4 - 19428304984423592167/78004980139214315520*y^3 + 699916327241961617/1300083002320238592*y^2 + 27300245707863302533/78004980139214315520*y - 1877582603007232281/8667220015468257280