Magma V2.19-8 Tue Aug 20 2013 17:56:04 on localhost [Seed = 307471828] Type ? for help. Type -D to quit. Loading file "10_163__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_163 geometric_solution 10.69336055 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 3012 0132 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 1 0 0 -1 0 0 0 0 -7 -1 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421989705121 1.083012504667 0 0 5 4 0132 1230 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 0 0 -1 0 0 1 7 -8 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383547244582 0.718648898979 6 0 7 6 0132 0132 0132 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 -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 0.168379752192 0.623034221758 7 8 0 4 2310 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.017418010026 0.708193252226 3 9 1 10 3012 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 1 0 -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 -0.722060611600 0.592327557110 11 10 10 1 0132 3012 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.224139684178 1.124372097441 2 2 10 8 0132 1302 3012 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 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595749580228 1.495796509966 9 8 3 2 0213 0321 3201 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 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.199448911251 1.050525105288 6 3 11 7 3120 0132 3120 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.455533730855 2.076134898772 7 4 11 11 0213 0132 1230 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277939388400 0.592327557110 5 6 4 5 1230 1230 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.224139684178 1.124372097441 5 9 8 9 0132 2310 3120 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.350763991915 1.383612379920 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_7']), 'c_1001_11' : negation(d['c_0101_0']), 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_0101_10']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : d['c_0101_0'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], '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_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_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : negation(d['c_0011_3']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_11']), 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : d['c_1100_1'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_0'], 'c_1010_8' : d['c_1001_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' : 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_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0011_11']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_7']), 'c_1100_8' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_8, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 4924487/28287875*c_1100_1^4 + 37331709/28287875*c_1100_1^3 - 4156092/5657575*c_1100_1^2 - 3760216/808225*c_1100_1 + 130315708/28287875, c_0011_0 - 1, c_0011_10 + 59/2939*c_1100_1^4 + 491/2939*c_1100_1^3 + 653/2939*c_1100_1^2 + 1714/2939*c_1100_1 - 23/2939, c_0011_11 - 66/2939*c_1100_1^4 - 350/2939*c_1100_1^3 + 1013/2939*c_1100_1^2 + 125/2939*c_1100_1 + 1022/2939, c_0011_3 - 210/2939*c_1100_1^4 - 1648/2939*c_1100_1^3 + 17/2939*c_1100_1^2 + 2268/2939*c_1100_1 + 3519/2939, c_0011_4 + 269/2939*c_1100_1^4 + 2139/2939*c_1100_1^3 + 636/2939*c_1100_1^2 - 554/2939*c_1100_1 - 6481/2939, c_0011_7 - 59/2939*c_1100_1^4 - 491/2939*c_1100_1^3 - 653/2939*c_1100_1^2 - 1714/2939*c_1100_1 + 23/2939, c_0101_0 + 138/2939*c_1100_1^4 + 999/2939*c_1100_1^3 - 515/2939*c_1100_1^2 + 273/2939*c_1100_1 - 3740/2939, c_0101_1 - 138/2939*c_1100_1^4 - 999/2939*c_1100_1^3 + 515/2939*c_1100_1^2 - 273/2939*c_1100_1 + 801/2939, c_0101_10 + 131/2939*c_1100_1^4 + 1140/2939*c_1100_1^3 + 1151/2939*c_1100_1^2 + 2112/2939*c_1100_1 - 2741/2939, c_0101_8 + 269/2939*c_1100_1^4 + 2139/2939*c_1100_1^3 + 636/2939*c_1100_1^2 - 554/2939*c_1100_1 - 6481/2939, c_1001_2 + 65/2939*c_1100_1^4 + 790/2939*c_1100_1^3 + 2164/2939*c_1100_1^2 - 702/2939*c_1100_1 - 1719/2939, c_1100_1^5 + 7*c_1100_1^4 - 5*c_1100_1^3 - 5*c_1100_1^2 - 16*c_1100_1 + 25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.870 Total time: 1.080 seconds, Total memory usage: 32.09MB