Magma V2.19-8 Wed Aug 21 2013 01:08:38 on localhost [Seed = 374345541] Type ? for help. Type -D to quit. Loading file "L14n41235__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n41235 geometric_solution 11.97638877 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 2310 2 1 1 2 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 1 0 -1 1 0 -1 0 0 0 0 0 10 1 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.241363238232 0.929670177424 0 4 6 5 0132 0132 0132 0132 1 1 2 1 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 1 -1 -1 0 0 1 -10 0 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.738371786390 1.007725739623 0 0 6 7 3201 0132 3201 0132 2 1 2 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 -1 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 0 0 0 0 0.526898273203 0.645686626089 8 7 4 0 0132 3120 3201 0132 2 1 2 2 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 -11 0 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498720752515 1.245949838880 3 1 7 6 2310 0132 1302 1302 1 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.240890409811 0.417866848182 9 7 1 10 0132 1302 0132 0132 1 1 2 2 0 0 0 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 0 1 -1 0 0 -1 1 1 -1 0 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546489379719 0.654795852469 2 8 4 1 2310 1302 2031 0132 1 1 1 2 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0.569437936051 0.249594751677 4 3 2 5 2031 3120 0132 2031 2 1 2 2 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0.723104189172 0.691766462790 3 11 12 6 0132 0132 0132 2031 1 1 2 2 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 11 -10 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546489379719 0.654795852469 5 11 12 12 0132 1023 3012 3120 0 1 2 2 0 0 0 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 0 0 0 0 0 1 0 -1 0 0 0 0 -10 10 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414684863109 0.768967430915 11 11 5 12 3012 0213 0132 0132 1 1 0 2 0 -1 0 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 -1 1 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 0.414684863109 0.768967430915 9 8 10 10 1023 0132 0213 1230 1 0 2 2 0 0 1 -1 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 1 -1 -1 0 1 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414684863109 0.768967430915 9 9 10 8 3120 1230 0132 0132 1 1 2 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 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414684863109 0.768967430915 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_0110_7'], 'c_1001_4' : d['c_0110_7'], 'c_1001_7' : negation(d['c_0011_7']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_7']), 'c_1001_3' : d['c_0011_7'], 'c_1001_2' : negation(d['c_0101_6']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_0101_12'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0101_10'], '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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_12']), 'c_1100_8' : negation(d['c_1001_1']), 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_1001_1']), 'c_1100_4' : d['c_0101_6'], 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : negation(d['c_1001_1']), 'c_1100_1' : negation(d['c_1001_1']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_6']), 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : negation(d['c_1001_1']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0011_7']), 'c_1010_2' : negation(d['c_0011_7']), 'c_1010_1' : d['c_0110_7'], 'c_1010_0' : negation(d['c_0101_6']), 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0011_6'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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'], 'c_1100_12' : negation(d['c_1001_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' : negation(d['1']), 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_7']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : d['c_0110_7'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0101_6, c_0110_7, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 43924/325*c_1001_1^8 - 10414/13*c_1001_1^7 - 486704/325*c_1001_1^6 - 141061/325*c_1001_1^5 + 259003/325*c_1001_1^4 + 235761/650*c_1001_1^3 - 43456/325*c_1001_1^2 - 64971/650*c_1001_1 + 21083/650, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 2907/26*c_1001_1^8 + 33775/52*c_1001_1^7 + 29921/26*c_1001_1^6 + 16423/104*c_1001_1^5 - 82555/104*c_1001_1^4 - 48491/208*c_1001_1^3 + 20247/104*c_1001_1^2 + 4701/52*c_1001_1 - 8755/208, c_0011_6 - 545/26*c_1001_1^8 - 6781/52*c_1001_1^7 - 7019/26*c_1001_1^6 - 14917/104*c_1001_1^5 + 8945/104*c_1001_1^4 + 16817/208*c_1001_1^3 + 147/104*c_1001_1^2 - 831/52*c_1001_1 + 9/208, c_0011_7 - 545/26*c_1001_1^8 - 6781/52*c_1001_1^7 - 7019/26*c_1001_1^6 - 14917/104*c_1001_1^5 + 8945/104*c_1001_1^4 + 16817/208*c_1001_1^3 + 147/104*c_1001_1^2 - 831/52*c_1001_1 + 217/208, c_0101_0 + 545/26*c_1001_1^8 + 6781/52*c_1001_1^7 + 7019/26*c_1001_1^6 + 14917/104*c_1001_1^5 - 8945/104*c_1001_1^4 - 16817/208*c_1001_1^3 - 147/104*c_1001_1^2 + 831/52*c_1001_1 - 9/208, c_0101_1 - 1, c_0101_10 - 164/13*c_1001_1^8 - 826/13*c_1001_1^7 - 892/13*c_1001_1^6 + 1455/13*c_1001_1^5 + 2169/13*c_1001_1^4 - 107/26*c_1001_1^3 - 775/13*c_1001_1^2 - 173/13*c_1001_1 + 307/26, c_0101_12 - 97/26*c_1001_1^8 - 1213/52*c_1001_1^7 - 1267/26*c_1001_1^6 - 2837/104*c_1001_1^5 + 1281/104*c_1001_1^4 + 2305/208*c_1001_1^3 + 67/104*c_1001_1^2 - 97/52*c_1001_1 - 15/208, c_0101_3 - 393/26*c_1001_1^8 - 4773/52*c_1001_1^7 - 4683/26*c_1001_1^6 - 7405/104*c_1001_1^5 + 8681/104*c_1001_1^4 + 10649/208*c_1001_1^3 - 1117/104*c_1001_1^2 - 731/52*c_1001_1 + 545/208, c_0101_6 - 1, c_0110_7 - 393/26*c_1001_1^8 - 4773/52*c_1001_1^7 - 4683/26*c_1001_1^6 - 7405/104*c_1001_1^5 + 8681/104*c_1001_1^4 + 10649/208*c_1001_1^3 - 1117/104*c_1001_1^2 - 731/52*c_1001_1 + 545/208, c_1001_1^9 + 11/2*c_1001_1^8 + 17/2*c_1001_1^7 - 7/4*c_1001_1^6 - 15/2*c_1001_1^5 + 1/8*c_1001_1^4 + 19/8*c_1001_1^3 + 1/4*c_1001_1^2 - 5/8*c_1001_1 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB