Magma V2.19-8 Tue Aug 20 2013 16:14:28 on localhost [Seed = 2118115963] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s461 geometric_solution 4.80028258 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 3120 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 0 1 -1 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 -2 -1 0 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.297098594986 0.679613414081 0 0 2 3 0132 3120 1023 2310 0 0 0 0 0 1 0 -1 0 0 0 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.297098594986 0.679613414081 4 4 1 0 0132 3201 1023 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 0.611326148348 2.779536004300 1 5 0 5 3201 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 2 -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 0.642601717809 1.050699712233 2 4 2 4 0132 1302 2310 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 -0.488698579777 0.566435491492 3 3 5 5 3201 0132 1230 3012 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 1 0 -1 -1 0 1 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.354996093434 0.226413083133 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_2']), '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_0110_5']), 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0101_2']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_0, c_0101_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 11517/5*c_0110_5^22 + 213701/5*c_0110_5^20 - 1759161/5*c_0110_5^18 + 8154186/5*c_0110_5^16 - 22995718/5*c_0110_5^14 + 40436639/5*c_0110_5^12 - 43641828/5*c_0110_5^10 + 5840377*c_0110_5^8 - 12160482/5*c_0110_5^6 + 3068583/5*c_0110_5^4 - 429326/5*c_0110_5^2 + 25522/5, c_0011_0 - 1, c_0011_2 + 1457*c_0110_5^23 - 27325*c_0110_5^21 + 227843*c_0110_5^19 - 1074285*c_0110_5^17 + 3101696*c_0110_5^15 - 5637004*c_0110_5^13 + 6383254*c_0110_5^11 - 4535230*c_0110_5^9 + 2022129*c_0110_5^7 - 549793*c_0110_5^5 + 83350*c_0110_5^3 - 5395*c_0110_5, c_0011_3 + c_0110_5^23 - 19*c_0110_5^21 + 161*c_0110_5^19 - 776*c_0110_5^17 + 2312*c_0110_5^15 - 4401*c_0110_5^13 + 5356*c_0110_5^11 - 4229*c_0110_5^9 + 2191*c_0110_5^7 - 740*c_0110_5^5 + 157*c_0110_5^3 - 18*c_0110_5, c_0101_0 - 16*c_0110_5^23 + 303*c_0110_5^21 - 2557*c_0110_5^19 + 12255*c_0110_5^17 - 36216*c_0110_5^15 + 68104*c_0110_5^13 - 81295*c_0110_5^11 + 62308*c_0110_5^9 - 30827*c_0110_5^7 + 9649*c_0110_5^5 - 1772*c_0110_5^3 + 148*c_0110_5, c_0101_2 + 987*c_0110_5^22 - 18376*c_0110_5^20 + 151888*c_0110_5^18 - 707896*c_0110_5^16 + 2011552*c_0110_5^14 - 3575443*c_0110_5^12 + 3920675*c_0110_5^10 - 2676459*c_0110_5^8 + 1140201*c_0110_5^6 - 294862*c_0110_5^4 + 42332*c_0110_5^2 - 2583, c_0110_5^24 - 19*c_0110_5^22 + 161*c_0110_5^20 - 776*c_0110_5^18 + 2312*c_0110_5^16 - 4401*c_0110_5^14 + 5356*c_0110_5^12 - 4229*c_0110_5^10 + 2191*c_0110_5^8 - 740*c_0110_5^6 + 157*c_0110_5^4 - 19*c_0110_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB