# Manifold: H T Link Exterior K9n4 # Number of Tetrahedra: 5 # Number Field x^5 + 4*x^4 + 6*x^3 + 2*x^2 - x - 1 # Approximate Field Generator -0.543520938046926 - 0.453623389764419*I # Shape Parameters y^4 + 4*y^3 + 6*y^2 + 3*y + 2 1/2*y^4 + 3/2*y^3 + y^2 - 3/2*y 1/2*y^4 + 3/2*y^3 + y^2 - 3/2*y y^4 + 4*y^3 + 6*y^2 + 2*y -y # A Gluing Matrix {{1,-1,1,-2,-1},{-1,-3,1,-4,-3},{1,1,1,0,1},{-2,-4,0,-3,-3},{-1,-3,1,-3,-2}} # B Gluing Matrix {{1,0,0,0,0},{0,1,0,0,0},{0,0,1,0,0},{0,0,0,1,0},{0,0,0,0,1}} # nu Gluing Vector {-1, -3, 1, -3, -2} # f Combinatorial flattening {-3, 0, 4, 3, 0} # f' Combinatorial flattening {4, 2, 0, 0, 0} # 1 Loop Invariant 7*y^4 + 51/2*y^3 + 61/2*y^2 - 5/2*y - 8 # 2 Loop Invariant 18808943/558715592*y^4 + 326104657/1676146776*y^3 + 209307133/838073388*y^2 - 81127187/1676146776*y + 2279060569/1676146776 # 3 Loop Invariant -211683194573/9338372404688*y^4 - 169179886645/2334593101172*y^3 - 16058438993/153088072208*y^2 - 590248996025/9338372404688*y - 136165380549/9338372404688 # 4 Loop Invariant -475698862464925009057/156524827992051584858880*y^4 + 1107107719359882114241/93914896795230950915328*y^3 + 3774737403691378127531/46957448397615475457664*y^2 + 7471534654165731179707/93914896795230950915328*y + 1952213179493227406717/58696810497019344322080