Magma V2.19-8 Tue Aug 20 2013 16:19:24 on localhost [Seed = 3204391870] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3496 geometric_solution 6.75303942 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 3201 2310 0132 0 0 0 0 0 0 1 -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 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 0.276511073487 0.728236608888 0 3 5 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 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 0.232705165446 1.093811771096 5 6 0 3 2310 0132 0132 2310 0 0 0 0 0 -1 1 0 0 0 0 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 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 0.232705165446 1.093811771096 2 1 3 3 3201 0132 1230 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 -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 0.544302853646 1.200152096461 6 6 1 6 3012 0213 0132 2310 0 0 1 0 0 1 -1 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 -1 0 0 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232705165446 1.093811771096 5 5 2 1 1302 2031 3201 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 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 0.427502863378 0.475486431884 4 2 4 4 3201 0132 0213 1230 0 1 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 0 -1 0 1 1 0 -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 0.232705165446 1.093811771096 ==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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_1_2' : 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' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0110_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0110_3']), 'c_1001_6' : negation(d['c_0110_3']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0110_3']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0110_3']), 'c_1010_1' : negation(d['c_0110_3']), 'c_1010_0' : 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_2, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 6607/467*c_0110_3^7 - 161989/3736*c_0110_3^6 + 56139/1868*c_0110_3^5 + 50205/1868*c_0110_3^4 - 248719/3736*c_0110_3^3 + 246121/3736*c_0110_3^2 - 54219/1868*c_0110_3 + 23391/3736, c_0011_0 - 1, c_0011_2 - 4244/467*c_0110_3^7 + 519/934*c_0110_3^6 + 6904/467*c_0110_3^5 - 3189/467*c_0110_3^4 + 3809/934*c_0110_3^3 + 10191/934*c_0110_3^2 - 2438/467*c_0110_3 + 1779/934, c_0011_4 - 1, c_0011_5 - 716/467*c_0110_3^7 + 1489/934*c_0110_3^6 + 1733/467*c_0110_3^5 - 2020/467*c_0110_3^4 - 559/934*c_0110_3^3 + 1979/934*c_0110_3^2 - 1252/467*c_0110_3 + 29/934, c_0101_0 - 4244/467*c_0110_3^7 + 519/934*c_0110_3^6 + 6904/467*c_0110_3^5 - 3189/467*c_0110_3^4 + 3809/934*c_0110_3^3 + 10191/934*c_0110_3^2 - 1971/467*c_0110_3 + 1779/934, c_0101_1 - 1008/467*c_0110_3^7 - 1206/467*c_0110_3^6 + 1344/467*c_0110_3^5 + 1067/467*c_0110_3^4 + 624/467*c_0110_3^3 + 1440/467*c_0110_3^2 + 395/467*c_0110_3 + 250/467, c_0110_3^8 - 3/8*c_0110_3^7 - 13/8*c_0110_3^6 + 3/2*c_0110_3^5 - 7/8*c_0110_3^4 - 5/4*c_0110_3^3 + 9/8*c_0110_3^2 - 5/8*c_0110_3 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB