Magma V2.19-8 Tue Aug 20 2013 16:17:00 on localhost [Seed = 3532869121] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1257 geometric_solution 5.15852981 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.438652345350 0.574263952505 0 3 2 4 0132 0132 1230 0132 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 -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 1.159983582992 1.099711771552 3 0 4 1 2310 0132 2310 3012 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 0 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 1.159983582992 1.099711771552 3 1 2 3 3201 0132 3201 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.254306537080 0.690623670172 5 2 1 5 0132 3201 0132 1023 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643189622661 0.256768414102 4 6 6 4 0132 0132 3201 1023 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 1.006778903896 0.384434611973 5 5 6 6 2310 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.494928523592 0.334403276888 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), '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_0011_4'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 107544647388/597525499*c_0101_5*c_0101_6^8 + 200906448940/597525499*c_0101_5*c_0101_6^7 + 5769819372857/1792576497*c_0101_5*c_0101_6^6 + 1516978366656/597525499*c_0101_5*c_0101_6^5 - 5782407022078/1792576497*c_0101_5*c_0101_6^4 - 5214270693032/1792576497*c_0101_5*c_0101_6^3 - 51955272886/1792576497*c_0101_5*c_0101_6^2 - 493754924636/1792576497*c_0101_5*c_0101_6 + 111404454809/597525499*c_0101_5, c_0011_0 - 1, c_0011_4 - 7880088/3577997*c_0101_5*c_0101_6^8 + 1137547/3577997*c_0101_5*c_0101_6^7 + 458818862/10733991*c_0101_5*c_0101_6^6 + 1093209928/10733991*c_0101_5*c_0101_6^5 + 908464637/10733991*c_0101_5*c_0101_6^4 + 266796074/10733991*c_0101_5*c_0101_6^3 + 24487282/10733991*c_0101_5*c_0101_6^2 - 7733209/10733991*c_0101_5*c_0101_6 - 4099381/10733991*c_0101_5, c_0101_0 - 9369237/3577997*c_0101_6^8 + 9346906/3577997*c_0101_6^7 + 520590200/10733991*c_0101_6^6 + 861184109/10733991*c_0101_6^5 + 353477042/10733991*c_0101_6^4 - 8473314/3577997*c_0101_6^3 + 6177917/3577997*c_0101_6^2 - 2166290/3577997*c_0101_6 + 2626696/10733991, c_0101_1 - 3922620/3577997*c_0101_6^8 + 5880260/3577997*c_0101_6^7 + 207003565/10733991*c_0101_6^6 + 257531966/10733991*c_0101_6^5 + 58723078/10733991*c_0101_6^4 + 49296514/10733991*c_0101_6^3 + 59753306/10733991*c_0101_6^2 - 11488202/10733991*c_0101_6 + 6174790/10733991, c_0101_2 - 65834883/3577997*c_0101_5*c_0101_6^8 + 78526713/3577997*c_0101_5*c_0101_6^7 + 1216548617/3577997*c_0101_5*c_0101_6^6 + 5273340421/10733991*c_0101_5*c_0101_6^5 + 275758657/3577997*c_0101_5*c_0101_6^4 - 1053537656/10733991*c_0101_5*c_0101_6^3 + 65680241/10733991*c_0101_5*c_0101_6^2 - 264401774/10733991*c_0101_5*c_0101_6 + 71650310/10733991*c_0101_5, c_0101_5^2 + 5135547/3577997*c_0101_6^8 - 5428972/3577997*c_0101_6^7 - 285827720/10733991*c_0101_6^6 - 149794977/3577997*c_0101_6^5 - 149543369/10733991*c_0101_6^4 + 761228/10733991*c_0101_6^3 - 45760889/10733991*c_0101_6^2 + 17497679/10733991*c_0101_6 - 2713925/3577997, c_0101_6^9 - 4/3*c_0101_6^8 - 164/9*c_0101_6^7 - 218/9*c_0101_6^6 - 2*c_0101_6^5 + 11/3*c_0101_6^4 - 19/9*c_0101_6^3 + 10/9*c_0101_6^2 - 5/9*c_0101_6 + 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB