Magma V2.19-8 Wed Aug 21 2013 01:00:47 on localhost [Seed = 2496827262] Type ? for help. Type -D to quit. Loading file "L13n9843__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9843 geometric_solution 11.64086143 oriented_manifold CS_known 0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 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 1 0 -1 0 0 1 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482410586603 0.449643426003 0 5 3 6 0132 0132 3012 0132 2 0 1 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 1 -2 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 -0.056652017641 0.799330861133 7 0 8 4 0132 0132 0132 1230 0 2 1 1 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 -1 0 1 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 -0.056652017641 0.799330861133 9 1 10 0 0132 1230 0132 0132 0 0 1 2 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 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.463459575640 0.572590915001 2 11 0 12 3012 0132 0132 0132 0 0 2 1 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 3 1 -4 -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 0.463459575640 0.572590915001 7 1 7 6 1023 0132 1230 0321 2 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 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 0.662709724989 1.386453530428 8 5 1 10 1023 0321 0132 2031 2 0 1 1 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 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 0.662709724989 1.386453530428 2 5 8 5 0132 1023 2103 3012 1 2 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.662709724989 1.386453530428 7 6 12 2 2103 1023 1302 0132 0 2 1 1 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 -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 0.662709724989 1.386453530428 3 10 12 11 0132 1023 0132 0132 0 0 2 1 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 3 -3 -1 0 0 1 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.248752718051 0.797159888646 9 6 11 3 1023 1302 0132 0132 0 0 2 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.643284373531 1.143140832000 12 4 9 10 1023 0132 0132 0132 0 0 1 2 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 -3 3 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 0.248752718051 0.797159888646 8 11 4 9 2031 1023 0132 0132 0 0 1 2 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 -1 4 -3 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 1.643284373531 1.143140832000 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0110_6'], 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0110_6'], 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0110_6'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0101_0'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_0110_6'], 'c_1010_10' : d['c_1001_3'], 's_0_10' : negation(d['1']), 's_0_11' : 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' : d['1'], 's_2_3' : negation(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' : negation(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' : negation(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_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : negation(d['c_1001_3']), 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_12'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0110_6'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0110_6'], 'c_1100_8' : d['c_0101_12'], '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' : d['c_1100_0'], '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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], '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' : negation(d['c_0011_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], '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_11']), 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6']})} 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_11, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0110_6, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 419435815/380858624*c_1100_0^6 + 8125461231/761717248*c_1100_0^5 - 16350512159/190429312*c_1100_0^4 - 26600194571/380858624*c_1100_0^3 - 130282107737/761717248*c_1100_0^2 + 6483372273/761717248*c_1100_0 - 77961279607/761717248, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 1, c_0011_6 + 2861/452864*c_1100_0^6 - 27341/452864*c_1100_0^5 + 27203/56608*c_1100_0^4 + 227187/452864*c_1100_0^3 + 165843/226432*c_1100_0^2 - 87033/226432*c_1100_0 - 197727/452864, c_0101_0 - 1, c_0101_1 - 49/7808*c_1100_0^6 + 575/7808*c_1100_0^5 - 151/244*c_1100_0^4 + 5017/7808*c_1100_0^3 - 777/1952*c_1100_0^2 + 83/122*c_1100_0 - 7939/7808, c_0101_10 - 1407/905728*c_1100_0^6 + 13879/905728*c_1100_0^5 - 15069/113216*c_1100_0^4 + 715/31232*c_1100_0^3 - 448381/452864*c_1100_0^2 + 6943/452864*c_1100_0 - 42031/31232, c_0101_11 - 2467/905728*c_1100_0^6 + 42611/905728*c_1100_0^5 - 47197/113216*c_1100_0^4 + 46047/31232*c_1100_0^3 + 260459/452864*c_1100_0^2 + 1119535/452864*c_1100_0 - 49515/31232, c_0101_12 - 6259/452864*c_1100_0^6 + 68067/452864*c_1100_0^5 - 69101/56608*c_1100_0^4 + 3823/15616*c_1100_0^3 + 39531/226432*c_1100_0^2 + 836559/226432*c_1100_0 - 22619/15616, c_0101_2 + 1799/452864*c_1100_0^6 - 28483/452864*c_1100_0^5 + 30515/56608*c_1100_0^4 - 24547/15616*c_1100_0^3 - 361345/226432*c_1100_0^2 - 791057/226432*c_1100_0 + 6603/15616, c_0110_6 - 1, c_1001_3 + 6259/452864*c_1100_0^6 - 68067/452864*c_1100_0^5 + 69101/56608*c_1100_0^4 - 3823/15616*c_1100_0^3 - 39531/226432*c_1100_0^2 - 836559/226432*c_1100_0 + 22619/15616, c_1100_0^7 - 10*c_1100_0^6 + 81*c_1100_0^5 + 39*c_1100_0^4 + 135*c_1100_0^3 - 56*c_1100_0^2 + 95*c_1100_0 - 29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB