Magma V2.19-8 Wed Aug 21 2013 01:05:14 on localhost [Seed = 610417847] Type ? for help. Type -D to quit. Loading file "L14n25321__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25321 geometric_solution 11.74046324 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 0132 0132 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 -1 0 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 0.660456795007 1.118971904672 0 4 0 5 0132 0132 3012 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 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 0.608803953172 0.662779744153 6 7 3 0 0132 0132 1230 0132 0 0 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 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 0.915515740276 0.761294715555 7 8 0 2 3201 0132 0132 3012 0 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 0 0 0 0 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 -0.247208806280 1.527238659545 9 1 7 10 0132 0132 1023 0132 1 0 1 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 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 0.338700817555 0.495300361866 6 11 1 9 2103 0132 0132 2103 1 0 1 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 0 0 0 -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 0.797528647799 0.846892109270 2 12 5 12 0132 0132 2103 2310 1 0 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 1 -1 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 0.911927983531 0.533058555337 11 2 4 3 3012 0132 1023 2310 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 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 0.491472240367 1.895415888214 10 3 12 11 3201 0132 1023 1302 0 1 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 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 0.388161340584 0.392667085844 4 10 11 5 0132 2103 2103 2103 1 0 1 1 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 -1 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 0.788401380422 0.652366936982 12 9 4 8 3120 2103 0132 2310 1 0 1 1 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 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 0.097631500461 0.991571213081 9 5 8 7 2103 0132 2031 1230 1 0 1 1 0 0 0 0 0 0 -1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.896892624727 0.674584462814 6 6 8 10 3201 0132 1023 3120 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 0 0 0 0 0 0 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 0.741167148945 0.363106011091 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_8']), 'c_1001_10' : negation(d['c_0011_0']), 'c_1001_12' : d['c_0101_8'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0110_3']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0101_12'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : negation(d['c_0110_8']), '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_10'], 'c_0101_10' : d['c_0101_10'], '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_12' : 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_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : d['c_0110_3'], 'c_1100_3' : d['c_0110_3'], 'c_1100_2' : d['c_0110_3'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_12'], 'c_1100_11' : negation(d['c_0101_1']), 'c_1100_10' : negation(d['c_0011_3']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_3']), 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : negation(d['c_0110_8']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0101_12'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0110_8'], 'c_1010_8' : d['c_0101_1'], 'c_1100_8' : d['c_0101_10'], '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'], 'c_1100_12' : negation(d['c_0101_10']), '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' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_12']), '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' : d['c_0011_12'], 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : negation(d['c_0101_8']), 'c_0110_12' : negation(d['c_0101_8']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_12']), '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_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_12']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0101_1']), 'c_0110_6' : negation(d['c_0101_12'])})} 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_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_4, c_0101_7, c_0101_8, c_0110_3, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 8*c_0110_8 - 8, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 - 2*c_0110_8 + 1, c_0011_3 + c_0110_8, c_0101_0 - 1, c_0101_1 + c_0110_8, c_0101_10 + 1, c_0101_12 + 2*c_0110_8 - 1, c_0101_4 + c_0110_8 - 1, c_0101_7 - 1, c_0101_8 - 2*c_0110_8, c_0110_3 + c_0110_8 - 1/2, c_0110_8^2 - c_0110_8 + 1/2 ], 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_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_4, c_0101_7, c_0101_8, c_0110_3, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 251209/1881*c_0110_8^6 + 1562567/7524*c_0110_8^5 + 466535/684*c_0110_8^4 - 3586949/2508*c_0110_8^3 + 10708931/7524*c_0110_8^2 - 689747/3762*c_0110_8 - 1645777/7524, c_0011_0 - 1, c_0011_10 + 2/19*c_0110_8^6 - 7/19*c_0110_8^5 - 4/19*c_0110_8^4 + 45/19*c_0110_8^3 - 75/19*c_0110_8^2 + 37/19*c_0110_8 + 16/19, c_0011_12 + 14/19*c_0110_8^6 - 11/19*c_0110_8^5 - 85/19*c_0110_8^4 + 87/19*c_0110_8^3 - 69/19*c_0110_8^2 - 45/19*c_0110_8 - 2/19, c_0011_3 - 17/38*c_0110_8^6 + 6/19*c_0110_8^5 + 55/19*c_0110_8^4 - 44/19*c_0110_8^3 + 77/38*c_0110_8^2 + 113/38*c_0110_8 - 3/38, c_0101_0 - 1, c_0101_1 - 9/38*c_0110_8^6 - 8/19*c_0110_8^5 + 28/19*c_0110_8^4 + 27/19*c_0110_8^3 - 71/38*c_0110_8^2 + 109/38*c_0110_8 + 61/38, c_0101_10 - 14/19*c_0110_8^6 + 11/19*c_0110_8^5 + 85/19*c_0110_8^4 - 87/19*c_0110_8^3 + 69/19*c_0110_8^2 + 45/19*c_0110_8 + 2/19, c_0101_12 - 44/19*c_0110_8^6 + 2/19*c_0110_8^5 + 240/19*c_0110_8^4 - 173/19*c_0110_8^3 + 92/19*c_0110_8^2 + 212/19*c_0110_8 + 47/19, c_0101_4 + 5/38*c_0110_8^6 - 4/19*c_0110_8^5 - 5/19*c_0110_8^4 + 42/19*c_0110_8^3 - 83/38*c_0110_8^2 + 45/38*c_0110_8 + 21/38, c_0101_7 + 16/19*c_0110_8^6 - 18/19*c_0110_8^5 - 89/19*c_0110_8^4 + 132/19*c_0110_8^3 - 125/19*c_0110_8^2 + 11/19*c_0110_8 + 14/19, c_0101_8 + 14/19*c_0110_8^6 - 11/19*c_0110_8^5 - 85/19*c_0110_8^4 + 87/19*c_0110_8^3 - 69/19*c_0110_8^2 - 64/19*c_0110_8 - 21/19, c_0110_3 - 99/38*c_0110_8^6 - 50/19*c_0110_8^5 + 175/19*c_0110_8^4 - 121/19*c_0110_8^3 - 59/38*c_0110_8^2 + 287/38*c_0110_8 + 101/38, c_0110_8^7 - c_0110_8^6 - 6*c_0110_8^5 + 8*c_0110_8^4 - 5*c_0110_8^3 - 4*c_0110_8^2 + 2*c_0110_8 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.430 Total time: 0.640 seconds, Total memory usage: 32.09MB