Magma V2.19-8 Thu Sep 12 2013 15:35:32 on localhost [Seed = 945323516] Type ? for help. Type -D to quit. Loading file "10_114__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_114 geometric_solution 15.30490434 oriented_manifold CS_known -0.0000000000000011 1 0 torus 0.000000000000 0.000000000000 17 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.287265618723 1.066036603298 0 5 7 6 0132 0132 0132 0132 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 0 0 0 1 0 -1 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 0.323712557471 0.610764481614 3 0 7 8 1023 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.009452471799 1.455478690576 5 2 9 0 0132 1023 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.393644935602 0.845037323810 10 8 0 11 0132 0132 0132 0132 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 1 -1 0 0 0 0 -2 2 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.127439321319 0.746537597379 3 1 12 13 0132 0132 0132 0132 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 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 0.758970106821 0.597089844493 14 10 1 11 0132 3120 0132 3120 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 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 0.323712557471 0.610764481614 2 15 10 1 2031 0132 3120 0132 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 -2 2 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 1.174883663863 1.731925010075 11 4 2 10 1023 0132 0132 1023 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 1 0 0 -1 -1 1 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.138283313316 0.896608038571 14 16 11 3 2103 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.876328525613 0.926303385022 4 6 7 8 0132 3120 3120 1023 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 -1 0 1 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.322526314588 1.278223086276 6 8 4 9 3120 1023 0132 0132 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 -1 1 0 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456823162782 0.896398804791 14 15 13 5 3120 0321 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.434278972986 0.877389185250 12 15 5 16 2103 0213 0132 1230 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 1 -1 0 0 0 -1 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 1.217366938251 1.035186626282 6 16 9 12 0132 1302 2103 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.182071625249 0.873160135561 16 7 13 12 2103 0132 0213 0321 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 2 -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 0.359908404802 0.549154965762 13 9 15 14 3012 0132 2103 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396386739936 1.099388606876 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_1001_1'], 'c_1001_14' : negation(d['c_0011_16']), 'c_1001_16' : d['c_0011_15'], 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : d['c_1001_10'], 'c_1001_13' : d['c_1001_1'], 'c_1001_12' : d['c_0011_13'], 'c_1001_5' : negation(d['c_1001_10']), 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : negation(d['c_1001_10']), 'c_1001_6' : negation(d['c_1001_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : d['c_0011_15'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0011_14'], 'c_1001_8' : d['c_0101_8'], 'c_1010_13' : d['c_0011_13'], 'c_1010_12' : negation(d['c_1001_10']), 'c_1010_11' : d['c_0011_14'], 'c_1010_10' : d['c_0011_14'], 'c_1010_16' : d['c_0011_14'], 'c_1010_15' : negation(d['c_1001_10']), 'c_1010_14' : negation(d['c_0011_12']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_3_13' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_0_15' : d['1'], 's_0_16' : d['1'], 's_3_16' : 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'], 'c_0101_16' : d['c_0011_13'], 'c_0101_15' : d['c_0011_13'], 'c_0101_14' : d['c_0101_14'], '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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_16' : d['1'], 's_2_14' : d['1'], 's_2_15' : 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_15' : d['c_0011_15'], 'c_0011_14' : d['c_0011_14'], 'c_0011_16' : d['c_0011_16'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_16']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_7'], 'c_1100_14' : negation(d['c_0101_12']), 'c_1100_15' : d['c_0011_13'], 's_3_11' : d['1'], 'c_1100_16' : d['c_0011_12'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0101_7']), 'c_1100_13' : negation(d['c_0011_16']), 'c_1100_12' : negation(d['c_0011_16']), 'c_1100_9' : d['c_1100_0'], 's_0_12' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_1001_1'], 's_0_13' : d['1'], 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : negation(d['c_1001_10']), 'c_1010_0' : d['c_0101_1'], 's_3_15' : d['1'], 'c_1010_9' : d['c_0011_15'], 's_3_14' : d['1'], 'c_1100_8' : d['c_0101_7'], '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' : negation(d['c_0011_16']), 'c_0011_8' : d['c_0011_10'], 's_3_10' : d['1'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_15']), 'c_0011_6' : negation(d['c_0011_14']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_14'], 'c_0110_10' : d['c_0101_1'], 'c_0110_13' : d['c_0011_16'], 'c_0110_12' : d['c_0101_0'], 'c_0110_15' : negation(d['c_0011_12']), 'c_0110_14' : d['c_0101_0'], 'c_0110_16' : negation(d['c_0011_16']), 'c_1010_4' : d['c_0101_8'], 'c_0101_12' : d['c_0101_12'], 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_1010_8' : d['c_0101_1'], '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_1'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0011_15'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_14'], 'c_0101_8' : d['c_0101_8'], 's_1_16' : d['1'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0011_14'], '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_8'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_14'], 'c_0101_13' : d['c_0101_12']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_14, c_0011_15, c_0011_16, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_14, c_0101_7, c_0101_8, c_1001_1, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 256/47*c_1100_0^7 + 672/47*c_1100_0^6 - 840/47*c_1100_0^5 - 200/47*c_1100_0^4 + 416/47*c_1100_0^3 + 1211/47*c_1100_0^2 + 794/47*c_1100_0 + 291/47, c_0011_0 - 1, c_0011_10 - 15/47*c_1100_0^7 + 57/47*c_1100_0^6 - 130/47*c_1100_0^5 + 119/47*c_1100_0^4 - 52/47*c_1100_0^3 - 28/47*c_1100_0^2 - 17/47*c_1100_0 - 7/47, c_0011_12 - 3/47*c_1100_0^7 + 2/47*c_1100_0^6 + 21/47*c_1100_0^5 - 89/47*c_1100_0^4 + 140/47*c_1100_0^3 - 109/47*c_1100_0^2 + 53/47*c_1100_0 + 8/47, c_0011_13 - 34/47*c_1100_0^7 + 148/47*c_1100_0^6 - 326/47*c_1100_0^5 + 323/47*c_1100_0^4 - 121/47*c_1100_0^3 + 18/47*c_1100_0^2 - 73/47*c_1100_0 + 28/47, c_0011_14 - 1, c_0011_15 - 39/47*c_1100_0^7 + 120/47*c_1100_0^6 - 197/47*c_1100_0^5 + 18/47*c_1100_0^4 + 128/47*c_1100_0^3 - 54/47*c_1100_0^2 - 63/47*c_1100_0 - 37/47, c_0011_16 + 49/47*c_1100_0^7 - 158/47*c_1100_0^6 + 268/47*c_1100_0^5 - 66/47*c_1100_0^4 - 109/47*c_1100_0^3 + 10/47*c_1100_0^2 + 90/47*c_1100_0 + 73/47, c_0101_0 - 7/47*c_1100_0^7 + 36/47*c_1100_0^6 - 92/47*c_1100_0^5 + 137/47*c_1100_0^4 - 112/47*c_1100_0^3 + 59/47*c_1100_0^2 + 14/47*c_1100_0 + 3/47, c_0101_1 - 15/47*c_1100_0^7 + 57/47*c_1100_0^6 - 130/47*c_1100_0^5 + 119/47*c_1100_0^4 - 52/47*c_1100_0^3 - 28/47*c_1100_0^2 - 17/47*c_1100_0 - 7/47, c_0101_10 + 2/47*c_1100_0^7 - 17/47*c_1100_0^6 + 33/47*c_1100_0^5 - 19/47*c_1100_0^4 - 62/47*c_1100_0^3 + 57/47*c_1100_0^2 - 4/47*c_1100_0 - 21/47, c_0101_12 - 39/47*c_1100_0^7 + 120/47*c_1100_0^6 - 197/47*c_1100_0^5 + 18/47*c_1100_0^4 + 128/47*c_1100_0^3 - 54/47*c_1100_0^2 - 63/47*c_1100_0 - 84/47, c_0101_14 - 26/47*c_1100_0^7 + 80/47*c_1100_0^6 - 147/47*c_1100_0^5 + 59/47*c_1100_0^4 + 7/47*c_1100_0^3 + 11/47*c_1100_0^2 - 42/47*c_1100_0 - 56/47, c_0101_7 + 42/47*c_1100_0^7 - 122/47*c_1100_0^6 + 176/47*c_1100_0^5 + 71/47*c_1100_0^4 - 221/47*c_1100_0^3 + 69/47*c_1100_0^2 + 151/47*c_1100_0 + 76/47, c_0101_8 + 2/47*c_1100_0^7 - 17/47*c_1100_0^6 + 33/47*c_1100_0^5 - 19/47*c_1100_0^4 - 62/47*c_1100_0^3 + 57/47*c_1100_0^2 + 43/47*c_1100_0 - 21/47, c_1001_1 + 26/47*c_1100_0^7 - 80/47*c_1100_0^6 + 147/47*c_1100_0^5 - 59/47*c_1100_0^4 - 7/47*c_1100_0^3 - 11/47*c_1100_0^2 + 42/47*c_1100_0 + 56/47, c_1001_10 - 7/47*c_1100_0^7 + 36/47*c_1100_0^6 - 92/47*c_1100_0^5 + 137/47*c_1100_0^4 - 112/47*c_1100_0^3 + 59/47*c_1100_0^2 + 14/47*c_1100_0 + 3/47, c_1100_0^8 - 3*c_1100_0^7 + 5*c_1100_0^6 - c_1100_0^5 - c_1100_0^4 - c_1100_0^3 + 2*c_1100_0^2 + 2*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2678.150 Total time: 2678.349 seconds, Total memory usage: 14369.44MB