Magma V2.19-8 Tue Aug 20 2013 23:52:47 on localhost [Seed = 3869281590] Type ? for help. Type -D to quit. Loading file "L13n3895__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3895 geometric_solution 11.21644171 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 1 0 -1 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 -3 -1 4 -1 0 1 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.244153835133 0.762268023241 0 3 6 5 0132 2031 0132 0132 0 1 0 1 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 0 0 0 0 1 0 3 -4 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.672787842765 0.604988745926 7 0 8 5 0132 0132 0132 2031 1 0 0 1 0 -1 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 0 0 0 0 3 -3 0 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671727989266 1.120178423045 1 8 9 0 1302 2031 0132 0132 1 1 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 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170951316468 0.795461027654 9 7 0 10 0321 0132 0132 0132 1 1 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 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453253777494 0.807212390017 6 2 1 10 1230 1302 0132 3201 0 1 1 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 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.628029138212 0.602585485752 11 5 8 1 0132 3012 3012 0132 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.244153835133 0.762268023241 2 4 8 11 0132 0132 0321 1023 1 0 1 0 0 1 0 -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 -4 0 4 0 0 -1 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 0.486632247536 0.572137118864 3 6 7 2 1302 1230 0321 0132 1 0 1 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 -3 0 3 -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 0.240922585204 0.822111763249 4 11 10 3 0321 2103 0132 0132 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 0 0 0 0 0 0 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 0 0 -0.424794492446 0.849229484158 11 5 4 9 2310 2310 0132 0132 1 1 1 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.471134804093 0.941870889957 6 9 10 7 0132 2103 3201 1023 0 1 1 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 0 0 0 0 0 0 0 0 1 0 -1 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453253777494 0.807212390017 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_6'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_0011_10'], 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : negation(d['c_0011_9']), '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_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_10'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_10'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_6'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_1001_10']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_6'], 'c_1010_9' : negation(d['c_0101_2']), 'c_1010_8' : d['c_0101_6'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), '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_0110_11' : d['c_0101_6'], 'c_0110_10' : negation(d['c_0101_1']), 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_1']), 'c_0101_8' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_0'], 'c_0110_8' : d['c_0101_2'], '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_0011_3'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : negation(d['c_0011_9']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_5, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 294248653/1268632*c_1100_0^8 + 3573267763/3805896*c_1100_0^7 - 1998355096/1427211*c_1100_0^6 + 22458376367/11417688*c_1100_0^5 - 26263491241/11417688*c_1100_0^4 + 6968098991/11417688*c_1100_0^3 - 6445783453/5708844*c_1100_0^2 - 556362403/1427211*c_1100_0 + 1016008259/11417688, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + c_1100_0, c_0011_3 + 1588869/317158*c_1100_0^8 - 6752187/317158*c_1100_0^7 + 5353356/158579*c_1100_0^6 - 14497241/317158*c_1100_0^5 + 16964915/317158*c_1100_0^4 - 6024275/317158*c_1100_0^3 + 3581603/158579*c_1100_0^2 + 615136/158579*c_1100_0 - 907733/317158, c_0011_5 + 198036/158579*c_1100_0^8 - 863943/158579*c_1100_0^7 + 1484110/158579*c_1100_0^6 - 2158364/158579*c_1100_0^5 + 2409077/158579*c_1100_0^4 - 948811/158579*c_1100_0^3 + 1002339/158579*c_1100_0^2 + 567177/158579*c_1100_0 - 133370/158579, c_0011_9 - 819576/158579*c_1100_0^8 + 3384753/158579*c_1100_0^7 - 5208793/158579*c_1100_0^6 + 7331480/158579*c_1100_0^5 - 8623260/158579*c_1100_0^4 + 2549132/158579*c_1100_0^3 - 3802042/158579*c_1100_0^2 - 1285881/158579*c_1100_0 + 566051/158579, c_0101_0 + 811791/317158*c_1100_0^8 - 3254601/317158*c_1100_0^7 + 2451751/158579*c_1100_0^6 - 7341359/317158*c_1100_0^5 + 8859977/317158*c_1100_0^4 - 3028051/317158*c_1100_0^3 + 2671566/158579*c_1100_0^2 + 520573/158579*c_1100_0 - 192669/317158, c_0101_1 - 1, c_0101_2 - 166743/158579*c_1100_0^8 + 710367/158579*c_1100_0^7 - 1137472/158579*c_1100_0^6 + 1666972/158579*c_1100_0^5 - 2186196/158579*c_1100_0^4 + 1115414/158579*c_1100_0^3 - 1194817/158579*c_1100_0^2 + 178246/158579*c_1100_0 + 91064/158579, c_0101_6 - 131580/158579*c_1100_0^8 + 959433/317158*c_1100_0^7 - 523574/158579*c_1100_0^6 + 666255/158579*c_1100_0^5 - 1662297/317158*c_1100_0^4 - 236193/158579*c_1100_0^3 - 950947/317158*c_1100_0^2 - 665683/317158*c_1100_0 + 90199/317158, c_1001_10 + 166743/158579*c_1100_0^8 - 710367/158579*c_1100_0^7 + 1137472/158579*c_1100_0^6 - 1666972/158579*c_1100_0^5 + 2186196/158579*c_1100_0^4 - 1115414/158579*c_1100_0^3 + 1194817/158579*c_1100_0^2 - 178246/158579*c_1100_0 - 91064/158579, c_1100_0^9 - 13/3*c_1100_0^8 + 65/9*c_1100_0^7 - 31/3*c_1100_0^6 + 113/9*c_1100_0^5 - 52/9*c_1100_0^4 + 6*c_1100_0^3 + 1/9*c_1100_0^2 - 2/3*c_1100_0 + 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB