# Manifold: Census Knot K5_12 # Number of Tetrahedra: 5 # Number Field x^5 - 3*x^4 - 32*x^3 - 77*x^2 - 80*x - 32 # Approximate Field Generator -1.16148256504188 + 0.732082290293681*I # Shape Parameters -y^4 + 4*y^3 + 28*y^2 + 49*y + 32 -31/32*y^4 + 137/32*y^3 + 199/8*y^2 + 1267/32*y + 181/8 -9*y^4 + 40*y^3 + 230*y^2 + 362*y + 201 -9*y^4 + 40*y^3 + 230*y^2 + 362*y + 202 11*y^4 - 49*y^3 - 281*y^2 - 437*y - 240 # A Gluing Matrix {{-1,0,0,0,2},{0,4,-1,2,4},{0,-1,1,-1,-2},{0,2,-1,2,2},{2,4,-2,2,3}} # 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, 4, -1, 2, 3} # f Combinatorial flattening {5, -3, 6, 4, 3} # f' Combinatorial flattening {0, 2, 0, 0, 0} # 1 Loop Invariant -11/2*y^4 + 49/2*y^3 + 279/2*y^2 + 225*y + 130 # 2 Loop Invariant -112422703/206318976*y^4 + 495654413/206318976*y^3 + 30160489/2149156*y^2 + 1529443617/68772992*y + 85719145/6447468 # 3 Loop Invariant -164136086613/806569650176*y^4 + 722231820311/806569650176*y^3 + 530430445087/100821206272*y^2 + 6709773082289/806569650176*y + 470324602859/100821206272 # 4 Loop Invariant -394466272177082349331/1248079682227429048320*y^4 + 193573398189872890441/138675520247492116480*y^3 + 1268595585300811220311/156009960278428631040*y^2 + 15969525470907683116439/1248079682227429048320*y + 1111535518069360524527/156009960278428631040 # 5 Loop Invariant -225043260335947899018289/325277300292517508415488*y^4 + 2999259706074186480256529/975831900877552525246464*y^3 + 2161502052542226028661239/121978987609694065655808*y^2 + 27088062477783637076907287/975831900877552525246464*y + 1874352920650774757546831/121978987609694065655808