Magma V2.19-8 Tue Aug 20 2013 16:18:47 on localhost [Seed = 256807551] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2953 geometric_solution 6.14276824 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 1.065387683147 0.831330621650 0 2 2 5 0132 3012 1230 0132 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 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 0.758774173679 0.641244254192 1 0 5 1 1230 0132 0132 3012 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 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 0.758774173679 0.641244254192 5 4 6 0 0132 3012 0132 0132 0 0 0 0 0 0 1 -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 0 -1 1 -1 0 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 0.592184500804 0.803083786053 3 5 0 6 1230 0132 0132 2310 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 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 0.592184500804 0.803083786053 3 4 1 2 0132 0132 0132 0132 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 0 0 0 0 0 0 0 -1 1 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 0 0 0 1.497206510299 0.556839661650 4 6 6 3 3201 3201 2310 0132 0 0 0 0 0 1 0 -1 1 0 -1 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 -1 0 1 0 0 1 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.258124859668 0.822569299019 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : 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' : d['1'], 's_1_1' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_1001_2']})} 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_6, c_0101_0, c_0101_1, c_0101_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 1485533/913721*c_1001_2^14 - 5173217/913721*c_1001_2^13 + 4921851/913721*c_1001_2^12 + 856501/39727*c_1001_2^11 - 37403694/913721*c_1001_2^10 - 51180327/913721*c_1001_2^9 + 126161972/913721*c_1001_2^8 + 34142688/913721*c_1001_2^7 - 233098948/913721*c_1001_2^6 + 116158416/913721*c_1001_2^5 + 219844836/913721*c_1001_2^4 - 230892923/913721*c_1001_2^3 - 9514081/913721*c_1001_2^2 + 6264973/39727*c_1001_2 - 90207087/913721, c_0011_0 - 1, c_0011_3 - 214469/913721*c_1001_2^14 - 312440/913721*c_1001_2^13 + 1257195/913721*c_1001_2^12 + 4299/39727*c_1001_2^11 - 5217825/913721*c_1001_2^10 + 3421428/913721*c_1001_2^9 + 9013744/913721*c_1001_2^8 - 12843364/913721*c_1001_2^7 - 3448438/913721*c_1001_2^6 + 18417121/913721*c_1001_2^5 - 8157504/913721*c_1001_2^4 - 7642099/913721*c_1001_2^3 + 9967697/913721*c_1001_2^2 - 103000/39727*c_1001_2 - 1096130/913721, c_0011_6 + 32060/913721*c_1001_2^14 - 84438/913721*c_1001_2^13 - 292772/913721*c_1001_2^12 + 34500/39727*c_1001_2^11 + 391659/913721*c_1001_2^10 - 3166983/913721*c_1001_2^9 + 1886453/913721*c_1001_2^8 + 5075480/913721*c_1001_2^7 - 7023609/913721*c_1001_2^6 - 1253342/913721*c_1001_2^5 + 8516134/913721*c_1001_2^4 - 3981176/913721*c_1001_2^3 - 2285764/913721*c_1001_2^2 + 131906/39727*c_1001_2 - 909728/913721, c_0101_0 + c_1001_2, c_0101_1 + 92031/913721*c_1001_2^14 + 54530/913721*c_1001_2^13 - 730644/913721*c_1001_2^12 + 18466/39727*c_1001_2^11 + 2827215/913721*c_1001_2^10 - 4038187/913721*c_1001_2^9 - 4206005/913721*c_1001_2^8 + 12088934/913721*c_1001_2^7 - 2553823/913721*c_1001_2^6 - 15185439/913721*c_1001_2^5 + 13693860/913721*c_1001_2^4 + 3497206/913721*c_1001_2^3 - 10959542/913721*c_1001_2^2 + 255479/39727*c_1001_2 - 466289/913721, c_0101_2 - 202272/913721*c_1001_2^14 - 274852/913721*c_1001_2^13 + 1397869/913721*c_1001_2^12 + 8552/39727*c_1001_2^11 - 5766025/913721*c_1001_2^10 + 4107028/913721*c_1001_2^9 + 10878827/913721*c_1001_2^8 - 15682821/913721*c_1001_2^7 - 3644040/913721*c_1001_2^6 + 22931675/913721*c_1001_2^5 - 12799029/913721*c_1001_2^4 - 8058534/913721*c_1001_2^3 + 13395034/913721*c_1001_2^2 - 302686/39727*c_1001_2 + 183886/913721, c_1001_2^15 + c_1001_2^14 - 7*c_1001_2^13 + 2*c_1001_2^12 + 27*c_1001_2^11 - 30*c_1001_2^10 - 41*c_1001_2^9 + 92*c_1001_2^8 - 13*c_1001_2^7 - 113*c_1001_2^6 + 99*c_1001_2^5 + 19*c_1001_2^4 - 79*c_1001_2^3 + 51*c_1001_2^2 - 7*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB