Magma V2.19-8 Wed Aug 21 2013 01:02:38 on localhost [Seed = 2614984806] Type ? for help. Type -D to quit. Loading file "L14n15458__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15458 geometric_solution 12.28998717 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 1 1 -2 1 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 0.466584420745 0.653706678095 0 5 6 4 0132 0132 0132 2103 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 -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 0.918460848570 1.143402176323 7 0 8 7 0132 0132 0132 2103 0 1 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 -1 1 0 -2 0 -1 3 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.377956161476 0.814609933170 9 8 10 0 0132 3120 0132 0132 0 1 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 0 1 -1 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 0.749321680516 0.918301987504 6 9 0 1 0132 2103 0132 2103 0 1 1 0 0 -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 -1 2 -1 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.141341710609 0.709828628295 11 1 12 12 0132 0132 0132 3120 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 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 0.435645409312 0.813005983518 4 10 12 1 0132 1023 3120 0132 1 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 0 0 0 0 1 0 -1 0 0 1 -1 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.601928125552 0.423590999480 2 11 10 2 0132 0132 2310 2103 0 1 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 -1 0 1 2 0 1 -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 0.377956161476 0.814609933170 11 3 11 2 2103 3120 0132 0132 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 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 0.592125016584 0.775429142313 3 4 10 12 0132 2103 3120 0321 1 1 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 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.052110358923 1.013474544212 6 7 9 3 1023 3201 3120 0132 0 1 0 1 0 0 1 -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 0 0 1 -1 -1 0 0 1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.289336338177 0.680256585605 5 7 8 8 0132 0132 2103 0132 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 1 0 -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 0 0 0 0.531327728990 1.010130608470 5 9 6 5 3120 0321 3120 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 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 0.576180797628 0.830042749344 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_8'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : negation(d['c_1001_3']), 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : negation(d['c_0011_12']), 'c_1001_0' : negation(d['c_0011_8']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_1001_3']), 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : negation(d['c_1001_3']), 'c_1010_10' : d['c_1001_3'], 's_0_10' : 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_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(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' : negation(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' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_12']), 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : negation(d['c_0101_12']), 'c_1100_1' : negation(d['c_0101_12']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0101_2']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_2']), 'c_1100_10' : negation(d['c_0101_0']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : negation(d['c_0011_12']), 'c_1010_5' : negation(d['c_0011_12']), 'c_1010_4' : negation(d['c_1001_5']), 'c_1010_3' : negation(d['c_0011_8']), 'c_1010_2' : negation(d['c_0011_8']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : negation(d['c_0011_3']), 'c_1100_8' : negation(d['c_0101_2']), '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' : negation(d['1']), 'c_1100_12' : negation(d['c_0101_12']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(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_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_10'], '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_11'], 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_12'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_12']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), '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' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_12'], '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 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_1001_3, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 140954337/7469375*c_1001_5^5 + 1837166022/52285625*c_1001_5^4 - 1226828997/52285625*c_1001_5^3 + 82628991/52285625*c_1001_5^2 - 4915647/393125*c_1001_5 + 717361353/52285625, c_0011_0 - 1, c_0011_10 + 450/2261*c_1001_5^5 - 954/2261*c_1001_5^4 + 2046/2261*c_1001_5^3 - 1845/2261*c_1001_5^2 + 132/119*c_1001_5 - 180/2261, c_0011_12 - 846/2261*c_1001_5^5 + 747/2261*c_1001_5^4 - 1017/2261*c_1001_5^3 + 174/2261*c_1001_5^2 + 7/17*c_1001_5 + 80/2261, c_0011_3 + 4698/2261*c_1001_5^5 - 1971/323*c_1001_5^4 + 20430/2261*c_1001_5^3 - 26820/2261*c_1001_5^2 + 1119/119*c_1001_5 - 6595/2261, c_0011_8 + 8586/2261*c_1001_5^5 - 2700/323*c_1001_5^4 + 29619/2261*c_1001_5^3 - 32877/2261*c_1001_5^2 + 1368/119*c_1001_5 - 2853/2261, c_0101_0 - 1, c_0101_1 - 468/2261*c_1001_5^5 + 1341/2261*c_1001_5^4 - 810/2261*c_1001_5^3 + 108/323*c_1001_5^2 - 38/119*c_1001_5 - 1234/2261, c_0101_10 + 432/2261*c_1001_5^5 + 402/2261*c_1001_5^4 - 594/2261*c_1001_5^3 + 619/2261*c_1001_5^2 + 39/119*c_1001_5 + 990/2261, c_0101_11 - 495/2261*c_1001_5^5 + 468/2261*c_1001_5^4 + 75/2261*c_1001_5^3 + 576/2261*c_1001_5^2 - 33/119*c_1001_5 - 64/323, c_0101_12 - 27/2261*c_1001_5^5 - 873/2261*c_1001_5^4 + 885/2261*c_1001_5^3 - 180/2261*c_1001_5^2 + 5/119*c_1001_5 - 2164/6783, c_0101_2 - 45/2261*c_1001_5^5 - 486/2261*c_1001_5^4 + 303/323*c_1001_5^3 - 1269/2261*c_1001_5^2 + 99/119*c_1001_5 - 628/2261, c_1001_3 + 1782/323*c_1001_5^5 - 3429/323*c_1001_5^4 + 5544/323*c_1001_5^3 - 5562/323*c_1001_5^2 + 231/17*c_1001_5 - 196/323, c_1001_5^6 - c_1001_5^5 + 2*c_1001_5^4 - 4/3*c_1001_5^3 + 14/9*c_1001_5^2 + 4/9*c_1001_5 + 37/27 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.350 seconds, Total memory usage: 32.09MB