Magma V2.19-8 Tue Aug 20 2013 16:16:10 on localhost [Seed = 2934911594] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0433 geometric_solution 4.48561524 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.411088212076 0.088187263012 0 2 2 0 0132 0132 3201 3201 0 0 0 0 0 -1 0 1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.955675535675 0.241865209141 1 1 3 3 2310 0132 0132 3201 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382313201828 0.189034372845 4 2 5 2 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812652135081 0.452169170900 3 6 5 5 0132 0132 3012 2310 0 0 0 0 0 0 -1 1 0 0 -1 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.721212617134 1.117674664979 4 4 6 3 3201 1230 1023 0132 0 0 0 0 0 1 -1 0 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.721212617134 1.117674664979 6 4 5 6 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 1 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.721212617134 1.117674664979 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 5318975/80524*c_0101_2*c_0101_3^11 - 70081491/80524*c_0101_2*c_0101_3^10 + 89506003/20131*c_0101_2*c_0101_3^9 - 828551081/80524*c_0101_2*c_0101_3^8 + 3605074/491*c_0101_2*c_0101_3^7 + 18759605/1964*c_0101_2*c_0101_3^6 - 505720449/40262*c_0101_2*c_0101_3^5 - 104844481/20131*c_0101_2*c_0101_3^4 + 345759937/80524*c_0101_2*c_0101_3^3 + 5002867/1964*c_0101_2*c_0101_3^2 - 8401819/80524*c_0101_2*c_0101_3 - 8860541/20131*c_0101_2, c_0011_0 - 1, c_0011_3 + 2575/20131*c_0101_3^11 - 38240/20131*c_0101_3^10 + 227388/20131*c_0101_3^9 - 666336/20131*c_0101_3^8 + 21804/491*c_0101_3^7 - 3861/491*c_0101_3^6 - 676607/20131*c_0101_3^5 + 198346/20131*c_0101_3^4 + 232823/20131*c_0101_3^3 + 1883/491*c_0101_3^2 - 56505/20131*c_0101_3 - 15291/20131, c_0011_5 - 24329/40262*c_0101_2*c_0101_3^11 + 162824/20131*c_0101_2*c_0101_3^10 - 1713591/40262*c_0101_2*c_0101_3^9 + 4245419/40262*c_0101_2*c_0101_3^8 - 99141/982*c_0101_2*c_0101_3^7 - 38817/982*c_0101_2*c_0101_3^6 + 4020451/40262*c_0101_2*c_0101_3^5 + 378213/20131*c_0101_2*c_0101_3^4 - 1049099/40262*c_0101_2*c_0101_3^3 - 6967/491*c_0101_2*c_0101_3^2 + 45708/20131*c_0101_2*c_0101_3 + 55395/40262*c_0101_2, c_0101_0 - 6253/40262*c_0101_2*c_0101_3^11 + 38534/20131*c_0101_2*c_0101_3^10 - 350719/40262*c_0101_2*c_0101_3^9 + 613165/40262*c_0101_2*c_0101_3^8 + 3981/982*c_0101_2*c_0101_3^7 - 39903/982*c_0101_2*c_0101_3^6 + 739559/40262*c_0101_2*c_0101_3^5 + 611899/20131*c_0101_2*c_0101_3^4 - 52727/40262*c_0101_2*c_0101_3^3 - 5629/491*c_0101_2*c_0101_3^2 - 80382/20131*c_0101_2*c_0101_3 + 85931/40262*c_0101_2, c_0101_1 + 212/20131*c_0101_3^11 - 3891/20131*c_0101_3^10 + 33567/20131*c_0101_3^9 - 159056/20131*c_0101_3^8 + 9846/491*c_0101_3^7 - 10700/491*c_0101_3^6 - 85499/20131*c_0101_3^5 + 383832/20131*c_0101_3^4 + 94642/20131*c_0101_3^3 - 2058/491*c_0101_3^2 - 75521/20131*c_0101_3 + 5441/20131, c_0101_2^2 + 248/20131*c_0101_3^11 + 7223/20131*c_0101_3^10 - 94813/20131*c_0101_3^9 + 396594/20131*c_0101_3^8 - 15626/491*c_0101_3^7 + 2037/491*c_0101_3^6 + 580638/20131*c_0101_3^5 - 31854/20131*c_0101_3^4 - 177198/20131*c_0101_3^3 - 2426/491*c_0101_3^2 + 13829/20131*c_0101_3 - 472/20131, c_0101_3^12 - 13*c_0101_3^11 + 65*c_0101_3^10 - 144*c_0101_3^9 + 84*c_0101_3^8 + 164*c_0101_3^7 - 166*c_0101_3^6 - 109*c_0101_3^5 + 49*c_0101_3^4 + 49*c_0101_3^3 + 6*c_0101_3^2 - 7*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB