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Loading file "L12n724__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n724 geometric_solution 9.31025928 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 1 0 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 1 0 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 0.806439585793 0.941221656977 0 5 2 6 0132 0132 0132 0132 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 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 0.544060796083 0.310049668649 6 0 7 1 3120 0132 0132 0132 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 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 0 0 0 0 0 0 0.612560356292 0.790674874756 6 5 8 0 0132 0321 0132 0132 1 0 1 1 0 0 0 0 0 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 1 -1 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612560356292 0.790674874756 8 9 0 7 0132 0132 0132 3120 1 0 1 1 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 -1 4 -1 0 2 -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 0.272379485538 1.002536052564 9 1 8 3 2031 0132 3012 0321 1 1 1 1 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 0 0 3 0 0 -3 0 0 0 0 -4 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612560356292 0.790674874756 3 9 1 2 0132 3012 0132 3120 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 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 1.162805046975 0.790047410726 4 9 8 2 3120 0321 3120 0132 1 0 1 1 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 -1 1 1 0 0 -1 1 -1 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.035209799049 1.134309007610 4 5 7 3 0132 1230 3120 0132 1 0 1 1 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 0 0 0 1 0 0 -1 0 -3 0 3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.027338994104 0.880745363750 6 4 5 7 1230 0132 1302 0321 1 1 1 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 0 0 0 0 0 0 0 3 -3 0 0 0 4 -4 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.747625981064 0.928902748362 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : negation(d['c_0101_5']), 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_5'], 'c_1100_8' : negation(d['c_0101_7']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_0101_2']), 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_5'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), '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_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], '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_0011_0']), 'c_0101_8' : d['c_0101_2'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : 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_1'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_2'], '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 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_7, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 809036993/51590385*c_1001_2^7 + 16358627363/103180770*c_1001_2^6 + 25664834471/34393590*c_1001_2^5 + 13745083141/9380070*c_1001_2^4 + 53416235963/51590385*c_1001_2^3 + 3982141013/11464530*c_1001_2^2 + 8728122245/20636154*c_1001_2 - 1482945269/34393590, c_0011_0 - 1, c_0011_3 + 7/8508*c_1001_2^7 + 101/2127*c_1001_2^6 + 1157/2836*c_1001_2^5 + 14843/8508*c_1001_2^4 + 12431/4254*c_1001_2^3 + 2481/1418*c_1001_2^2 - 2083/4254*c_1001_2 - 781/2836, c_0011_4 - c_1001_2 - 2, c_0101_0 - 1, c_0101_1 + 13333/144636*c_1001_2^7 + 31028/36159*c_1001_2^6 + 183307/48212*c_1001_2^5 + 937901/144636*c_1001_2^4 + 344921/72318*c_1001_2^3 + 5613/1418*c_1001_2^2 + 169799/72318*c_1001_2 + 15093/48212, c_0101_2 + 4169/36159*c_1001_2^7 + 42496/36159*c_1001_2^6 + 68296/12053*c_1001_2^5 + 431428/36159*c_1001_2^4 + 407003/36159*c_1001_2^3 + 4356/709*c_1001_2^2 + 110447/36159*c_1001_2 + 11408/12053, c_0101_5 + 2723/8508*c_1001_2^7 + 12641/4254*c_1001_2^6 + 37435/2836*c_1001_2^5 + 192679/8508*c_1001_2^4 + 36653/2127*c_1001_2^3 + 7879/709*c_1001_2^2 + 8558/2127*c_1001_2 + 3897/2836, c_0101_7 + 1421/12053*c_1001_2^7 + 25769/24106*c_1001_2^6 + 111047/24106*c_1001_2^5 + 85668/12053*c_1001_2^4 + 90691/24106*c_1001_2^3 + 2389/1418*c_1001_2^2 + 19421/24106*c_1001_2 + 5183/24106, c_1001_0 - 1223/8508*c_1001_2^7 - 3061/2127*c_1001_2^6 - 19425/2836*c_1001_2^5 - 119887/8508*c_1001_2^4 - 58243/4254*c_1001_2^3 - 13333/1418*c_1001_2^2 - 21361/4254*c_1001_2 - 2107/2836, c_1001_2^8 + 11*c_1001_2^7 + 57*c_1001_2^6 + 140*c_1001_2^5 + 169*c_1001_2^4 + 120*c_1001_2^3 + 76*c_1001_2^2 + 33*c_1001_2 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB