Magma V2.19-8 Tue Aug 20 2013 16:15:52 on localhost [Seed = 2118115908] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0094 geometric_solution 3.63107969 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 3201 0 0 0 0 0 1 0 -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 1 0 -1 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 -0.372228537200 0.039550823598 0 0 2 2 0132 2310 2310 0132 0 0 0 0 0 0 0 0 -1 0 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 1 -1 0 -1 0 0 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.928392817039 0.261280666795 3 1 1 3 0132 3201 0132 1023 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 0 0 0 0 0 0 -1 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.263885259184 0.188159182372 2 4 5 2 0132 0132 0132 1023 0 0 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 0 0 0 0 0 0 0 1 -1 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 0.769638643323 0.972753323501 5 3 6 5 2310 0132 0132 3201 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 -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 -0.198440901858 0.406410014696 6 4 4 3 1023 2310 3201 0132 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 0 1 0 -1 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 -0.198440901858 0.406410014696 6 5 6 4 2310 1023 3201 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.970143961542 1.986869732882 ==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_0011_5']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], '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_2'], 'c_0011_6' : d['c_0011_5'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), '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_5, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 35804/289*c_0101_4^13 - 217808/289*c_0101_4^12 - 1163664/289*c_0101_4^11 + 1532608/289*c_0101_4^10 + 7676780/289*c_0101_4^9 - 3394673/289*c_0101_4^8 - 17957703/289*c_0101_4^7 + 4815401/289*c_0101_4^6 + 17963703/289*c_0101_4^5 - 4714681/289*c_0101_4^4 - 7539642/289*c_0101_4^3 + 2333918/289*c_0101_4^2 + 979966/289*c_0101_4 - 337917/289, c_0011_0 - 1, c_0011_2 - 995/289*c_0101_4^13 + 5730/289*c_0101_4^12 + 33978/289*c_0101_4^11 - 30028/289*c_0101_4^10 - 217257/289*c_0101_4^9 + 9017/289*c_0101_4^8 + 465853/289*c_0101_4^7 + 68179/289*c_0101_4^6 - 401478/289*c_0101_4^5 - 76614/289*c_0101_4^4 + 135092/289*c_0101_4^3 + 23123/289*c_0101_4^2 - 14769/289*c_0101_4 - 1817/289, c_0011_5 + 995/289*c_0101_4^13 - 5730/289*c_0101_4^12 - 33978/289*c_0101_4^11 + 30028/289*c_0101_4^10 + 217257/289*c_0101_4^9 - 9017/289*c_0101_4^8 - 465853/289*c_0101_4^7 - 68179/289*c_0101_4^6 + 401478/289*c_0101_4^5 + 76614/289*c_0101_4^4 - 135092/289*c_0101_4^3 - 23123/289*c_0101_4^2 + 14769/289*c_0101_4 + 1817/289, c_0101_0 + 189/289*c_0101_4^13 - 1075/289*c_0101_4^12 - 6406/289*c_0101_4^11 + 4563/289*c_0101_4^10 + 37252/289*c_0101_4^9 + 3253/289*c_0101_4^8 - 63333/289*c_0101_4^7 - 12123/289*c_0101_4^6 + 34143/289*c_0101_4^5 + 6627/289*c_0101_4^4 - 1077/289*c_0101_4^3 - 1168/289*c_0101_4^2 - 1563/289*c_0101_4 - 8/289, c_0101_1 + 80/289*c_0101_4^13 - 347/289*c_0101_4^12 - 3501/289*c_0101_4^11 - 706/289*c_0101_4^10 + 24170/289*c_0101_4^9 + 17359/289*c_0101_4^8 - 59650/289*c_0101_4^7 - 38636/289*c_0101_4^6 + 71765/289*c_0101_4^5 + 26774/289*c_0101_4^4 - 38405/289*c_0101_4^3 - 5886/289*c_0101_4^2 + 5956/289*c_0101_4 + 479/289, c_0101_3 - 105/289*c_0101_4^13 + 669/289*c_0101_4^12 + 3115/289*c_0101_4^11 - 4779/289*c_0101_4^10 - 17696/289*c_0101_4^9 + 12061/289*c_0101_4^8 + 29694/289*c_0101_4^7 - 21077/289*c_0101_4^6 - 15183/289*c_0101_4^5 + 15738/289*c_0101_4^4 + 1777/289*c_0101_4^3 - 2957/289*c_0101_4^2 - 622/289*c_0101_4 + 63/289, c_0101_4^14 - 6*c_0101_4^13 - 33*c_0101_4^12 + 40*c_0101_4^11 + 218*c_0101_4^10 - 75*c_0101_4^9 - 509*c_0101_4^8 + 83*c_0101_4^7 + 509*c_0101_4^6 - 75*c_0101_4^5 - 218*c_0101_4^4 + 40*c_0101_4^3 + 33*c_0101_4^2 - 6*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB