Magma V2.19-8 Tue Aug 20 2013 16:18:45 on localhost [Seed = 1747580188] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2908 geometric_solution 6.11352720 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 2310 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 1 0 -1 0 0 0 0 2 -1 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.042549070586 0.813395148027 0 2 4 2 0132 3012 0132 1302 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 1 0 -1 0 0 0 0 0 1 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.790860088178 0.562509499845 1 0 1 5 1230 0132 2031 0132 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 -1 1 0 -1 0 1 0 -2 2 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.790860088178 0.562509499845 0 6 6 0 3201 0132 3201 0132 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -1 0 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.693914770504 0.840463725924 5 5 6 1 1023 3012 1023 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562197591391 0.533450803515 4 4 2 6 1230 1023 0132 1023 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 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 0.562197591391 0.533450803515 3 3 4 5 2310 0132 1023 1023 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 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 0.289515327423 0.566988864938 ==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' : 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_0101_2']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), '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_4'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : negation(d['c_0101_0']), '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_0011_4'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 206111389/71262685*c_0101_4^14 + 353541655/14252537*c_0101_4^13 + 4897503231/71262685*c_0101_4^12 + 1044437259/71262685*c_0101_4^11 - 22227616126/71262685*c_0101_4^10 - 10742206840/14252537*c_0101_4^9 - 60056481852/71262685*c_0101_4^8 - 27117112837/71262685*c_0101_4^7 + 19851909164/71262685*c_0101_4^6 + 42168256361/71262685*c_0101_4^5 + 34151213929/71262685*c_0101_4^4 + 3539246712/14252537*c_0101_4^3 + 5562541879/71262685*c_0101_4^2 + 2448670033/71262685*c_0101_4 + 303494038/71262685, c_0011_0 - 1, c_0011_3 + 787239/7674443*c_0101_4^14 + 7586182/7674443*c_0101_4^13 + 3590506/1096349*c_0101_4^12 + 2465486/1096349*c_0101_4^11 - 97912876/7674443*c_0101_4^10 - 290472891/7674443*c_0101_4^9 - 351500827/7674443*c_0101_4^8 - 176112366/7674443*c_0101_4^7 + 89452317/7674443*c_0101_4^6 + 237948259/7674443*c_0101_4^5 + 200770670/7674443*c_0101_4^4 + 99891270/7674443*c_0101_4^3 + 27873943/7674443*c_0101_4^2 - 2602482/7674443*c_0101_4 + 2400159/7674443, c_0011_4 - 2253039/7674443*c_0101_4^14 - 17099791/7674443*c_0101_4^13 - 5072478/1096349*c_0101_4^12 + 4668117/1096349*c_0101_4^11 + 230750385/7674443*c_0101_4^10 + 345472668/7674443*c_0101_4^9 + 193577880/7674443*c_0101_4^8 - 89845648/7674443*c_0101_4^7 - 260326776/7674443*c_0101_4^6 - 192646170/7674443*c_0101_4^5 - 56735121/7674443*c_0101_4^4 - 14841025/7674443*c_0101_4^3 + 13498073/7674443*c_0101_4^2 - 9596229/7674443*c_0101_4 + 6262285/7674443, c_0101_0 + 645052/7674443*c_0101_4^14 + 5407197/7674443*c_0101_4^13 + 1923796/1096349*c_0101_4^12 - 780346/1096349*c_0101_4^11 - 80638602/7674443*c_0101_4^10 - 137264629/7674443*c_0101_4^9 - 72301307/7674443*c_0101_4^8 + 44063372/7674443*c_0101_4^7 + 72631591/7674443*c_0101_4^6 + 24213221/7674443*c_0101_4^5 + 261602/7674443*c_0101_4^4 + 21287914/7674443*c_0101_4^3 + 29131390/7674443*c_0101_4^2 + 11436384/7674443*c_0101_4 + 1376565/7674443, c_0101_1 + c_0101_4, c_0101_2 - 68602/7674443*c_0101_4^14 + 164838/7674443*c_0101_4^13 + 562703/1096349*c_0101_4^12 + 1429695/1096349*c_0101_4^11 - 8198475/7674443*c_0101_4^10 - 58925533/7674443*c_0101_4^9 - 67156970/7674443*c_0101_4^8 - 3978103/7674443*c_0101_4^7 + 40015041/7674443*c_0101_4^6 + 23561086/7674443*c_0101_4^5 - 4355811/7674443*c_0101_4^4 + 2696557/7674443*c_0101_4^3 + 18522755/7674443*c_0101_4^2 + 10265625/7674443*c_0101_4 + 1307963/7674443, c_0101_4^15 + 8*c_0101_4^14 + 19*c_0101_4^13 - 7*c_0101_4^12 - 106*c_0101_4^11 - 197*c_0101_4^10 - 163*c_0101_4^9 - 17*c_0101_4^8 + 117*c_0101_4^7 + 132*c_0101_4^6 + 73*c_0101_4^5 + 28*c_0101_4^4 + c_0101_4^3 + 5*c_0101_4^2 - 2*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB