Magma V2.19-8 Wed Aug 21 2013 01:00:48 on localhost [Seed = 1613134731] Type ? for help. Type -D to quit. Loading file "L13n9843__sl2_c7.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' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(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' : negation(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_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' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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: 8 Groebner basis: [ t - 374479613/392905728*c_1100_0^7 + 17422001231/392905728*c_1100_0^6 - 13607308427/98226432*c_1100_0^5 + 73111746739/392905728*c_1100_0^4 - 28049037413/196452864*c_1100_0^3 + 4943564189/65484288*c_1100_0^2 + 11869583975/392905728*c_1100_0 - 4301405983/98226432, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 1, c_0011_6 - 246203/606336*c_1100_0^7 + 11456969/606336*c_1100_0^6 - 4488679/75792*c_1100_0^5 + 48201157/606336*c_1100_0^4 - 18377459/303168*c_1100_0^3 + 3132661/101056*c_1100_0^2 + 8565821/606336*c_1100_0 - 1502429/75792, c_0101_0 - 1, c_0101_1 - 3523/202112*c_1100_0^7 + 155981/202112*c_1100_0^6 - 18917/25264*c_1100_0^5 - 108147/202112*c_1100_0^4 + 78067/101056*c_1100_0^3 + 4437/101056*c_1100_0^2 + 59137/202112*c_1100_0 + 23671/25264, c_0101_10 - 83609/404224*c_1100_0^7 + 3889539/404224*c_1100_0^6 - 1518585/50528*c_1100_0^5 + 16594439/404224*c_1100_0^4 - 6500537/202112*c_1100_0^3 + 3518141/202112*c_1100_0^2 + 2599327/404224*c_1100_0 - 453767/50528, c_0101_11 - 135657/404224*c_1100_0^7 + 6334059/404224*c_1100_0^6 - 2594685/50528*c_1100_0^5 + 28749079/404224*c_1100_0^4 - 11141629/202112*c_1100_0^3 + 5726713/202112*c_1100_0^2 + 3964999/404224*c_1100_0 - 936783/50528, c_0101_12 + 39989/202112*c_1100_0^7 - 1876087/202112*c_1100_0^6 + 816109/25264*c_1100_0^5 - 9517099/202112*c_1100_0^4 + 3816181/101056*c_1100_0^3 - 2086345/101056*c_1100_0^2 - 684003/202112*c_1100_0 + 353547/25264, c_0101_2 - 16439/50528*c_1100_0^7 + 192011/12632*c_1100_0^6 - 634505/12632*c_1100_0^5 + 3569325/50528*c_1100_0^4 - 2844211/50528*c_1100_0^3 + 1527297/50528*c_1100_0^2 + 51739/6316*c_1100_0 - 28067/1579, c_0110_6 + 1, c_1001_3 + 39989/202112*c_1100_0^7 - 1876087/202112*c_1100_0^6 + 816109/25264*c_1100_0^5 - 9517099/202112*c_1100_0^4 + 3816181/101056*c_1100_0^3 - 2086345/101056*c_1100_0^2 - 684003/202112*c_1100_0 + 353547/25264, c_1100_0^8 - 46*c_1100_0^7 + 121*c_1100_0^6 - 119*c_1100_0^5 + 47*c_1100_0^4 - 73*c_1100_0^2 + 29*c_1100_0 + 24 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB