Magma V2.19-8 Tue Aug 20 2013 16:18:44 on localhost [Seed = 1242289983] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2905 geometric_solution 6.11036804 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3120 0132 0132 0 0 0 0 0 -1 0 1 0 0 1 -1 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 0 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 0.945301414153 1.071927282166 0 0 5 4 0132 3120 0132 0132 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 1 0 0 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593836153083 0.485518144734 4 5 4 0 0132 3012 2031 0132 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 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 0.371462026566 0.658091078193 6 4 0 6 0132 3120 0132 1023 0 0 0 0 0 0 -1 1 -1 0 1 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 0.478238233519 0.434318418825 2 3 1 2 0132 3120 0132 1302 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 0 0 0 0 0 0 0 0 1 0 -1 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 1.303720002276 0.874663855094 2 5 5 1 1230 1230 3012 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 0 0 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 0.990708373101 0.825192935194 3 6 6 3 0132 3201 2310 1023 0 0 0 0 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 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 1.258273190226 0.686211619365 ==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' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(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_2'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_2'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0011_2'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_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_2, c_0011_3, c_0011_5, c_0101_0, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1/18*c_0101_5, c_0011_0 - 1, c_0011_2 - 2, c_0011_3 - c_0101_5, c_0011_5 + 1, c_0101_0 + c_0101_5, c_0101_5^2 - 3, c_0101_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_5, c_0101_0, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 30140/6861*c_0101_5*c_0101_6^9 - 167465/6861*c_0101_5*c_0101_6^8 - 240899/6861*c_0101_5*c_0101_6^7 - 274928/6861*c_0101_5*c_0101_6^6 - 151894/2287*c_0101_5*c_0101_6^5 - 159772/2287*c_0101_5*c_0101_6^4 - 115391/2287*c_0101_5*c_0101_6^3 - 364457/6861*c_0101_5*c_0101_6^2 - 365653/6861*c_0101_5*c_0101_6 - 107180/6861*c_0101_5, c_0011_0 - 1, c_0011_2 - 398/2287*c_0101_6^9 - 2502/2287*c_0101_6^8 - 4680/2287*c_0101_6^7 - 4965/2287*c_0101_6^6 - 6000/2287*c_0101_6^5 - 8393/2287*c_0101_6^4 - 7887/2287*c_0101_6^3 - 3922/2287*c_0101_6^2 - 4974/2287*c_0101_6 - 1388/2287, c_0011_3 + 1561/2287*c_0101_5*c_0101_6^9 + 7710/2287*c_0101_5*c_0101_6^8 + 6886/2287*c_0101_5*c_0101_6^7 + 5033/2287*c_0101_5*c_0101_6^6 + 13109/2287*c_0101_5*c_0101_6^5 + 13134/2287*c_0101_5*c_0101_6^4 + 5679/2287*c_0101_5*c_0101_6^3 + 7786/2287*c_0101_5*c_0101_6^2 + 7430/2287*c_0101_5*c_0101_6 - 61/2287*c_0101_5, c_0011_5 - 867/2287*c_0101_6^9 - 4439/2287*c_0101_6^8 - 4667/2287*c_0101_6^7 - 3903/2287*c_0101_6^6 - 7508/2287*c_0101_6^5 - 5314/2287*c_0101_6^4 - 4568/2287*c_0101_6^3 - 3441/2287*c_0101_6^2 - 2940/2287*c_0101_6 - 139/2287, c_0101_0 + 1959/2287*c_0101_5*c_0101_6^9 + 10212/2287*c_0101_5*c_0101_6^8 + 11566/2287*c_0101_5*c_0101_6^7 + 9998/2287*c_0101_5*c_0101_6^6 + 19109/2287*c_0101_5*c_0101_6^5 + 21527/2287*c_0101_5*c_0101_6^4 + 13566/2287*c_0101_5*c_0101_6^3 + 11708/2287*c_0101_5*c_0101_6^2 + 12404/2287*c_0101_5*c_0101_6 + 1327/2287*c_0101_5, c_0101_5^2 - 787/2287*c_0101_6^9 - 3304/2287*c_0101_6^8 - 1129/2287*c_0101_6^7 - 2158/2287*c_0101_6^6 - 3969/2287*c_0101_6^5 + 1763/2287*c_0101_6^4 - 960/2287*c_0101_6^3 - 607/2287*c_0101_6^2 + 1565/2287*c_0101_6 - 630/2287, c_0101_6^10 + 5*c_0101_6^9 + 5*c_0101_6^8 + 5*c_0101_6^7 + 10*c_0101_6^6 + 9*c_0101_6^5 + 6*c_0101_6^4 + 7*c_0101_6^3 + 6*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB