Magma V2.19-8 Tue Aug 20 2013 23:44:04 on localhost [Seed = 2362108257] Type ? for help. Type -D to quit. Loading file "L14n17888__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n17888 geometric_solution 9.22528534 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 -5 4 1 -1 0 0 1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.574645858922 0.413929520528 0 5 4 6 0132 0132 2031 0132 1 1 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 0 0 0 1 0 -1 0 0 0 0 0 -4 5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.416151698153 0.622597604435 7 0 8 6 0132 0132 0132 2103 1 1 1 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 5 0 -5 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.082875994748 0.815539704518 6 8 5 0 0132 3012 1023 0132 1 1 1 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 4 0 -4 0 0 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.851106820261 0.440015430959 5 7 0 1 3012 1230 0132 1302 1 1 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 0 -1 1 0 0 -1 1 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.652021234617 0.996081982648 9 1 3 4 0132 0132 1023 1230 1 1 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 0 0 0 0 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533036385340 0.291544164988 3 8 1 2 0132 1230 0132 2103 1 1 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 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.291637102860 1.383773596472 2 10 4 8 0132 0132 3012 2031 1 1 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 0 -5 5 0 0 0 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739690117963 0.769579452529 3 7 6 2 1230 1302 3012 0132 1 1 1 1 0 0 0 0 0 0 0 0 -1 1 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 5 -5 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723113093550 0.758817891717 5 10 10 10 0132 1023 1230 1302 0 1 1 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 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 0.555949212084 0.789823345538 9 7 9 9 1023 0132 2031 3012 1 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 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 0.555949212084 0.789823345538 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_8'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0101_8']), 'c_1001_3' : negation(d['c_0011_8']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0011_3'], 'c_1010_10' : negation(d['c_0011_4']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_10'], 'c_1100_8' : negation(d['c_0101_3']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0101_1'], 'c_1100_7' : negation(d['c_1001_2']), 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : negation(d['c_0101_3']), 'c_1100_10' : negation(d['c_0101_10']), 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : negation(d['c_0101_8']), 'c_1010_2' : negation(d['c_0101_8']), 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : negation(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' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : negation(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' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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_10' : d['c_0101_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_8']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_4'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0011_3'], '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_7'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_0101_8, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 687182719025/8795372012*c_1001_2^7 + 37363209943389/87953720120*c_1001_2^6 + 2448365318649/2512963432*c_1001_2^5 + 9962584714337/8795372012*c_1001_2^4 + 5528777522655/8795372012*c_1001_2^3 + 752155268247/6282408580*c_1001_2^2 + 1458179456813/87953720120*c_1001_2 + 516644980977/43976860060, c_0011_0 - 1, c_0011_3 - 1352043/130829*c_1001_2^7 - 14097283/261658*c_1001_2^6 - 31371957/261658*c_1001_2^5 - 17630990/130829*c_1001_2^4 - 9250739/130829*c_1001_2^3 - 1344460/130829*c_1001_2^2 + 12901/261658*c_1001_2 - 314735/130829, c_0011_4 - 590260/130829*c_1001_2^7 - 2453416/130829*c_1001_2^6 - 4227973/130829*c_1001_2^5 - 3236613/130829*c_1001_2^4 - 889344/130829*c_1001_2^3 - 98448/130829*c_1001_2^2 - 85804/130829*c_1001_2 + 160937/130829, c_0011_8 + 590260/130829*c_1001_2^7 + 2453416/130829*c_1001_2^6 + 4227973/130829*c_1001_2^5 + 3236613/130829*c_1001_2^4 + 889344/130829*c_1001_2^3 + 98448/130829*c_1001_2^2 + 85804/130829*c_1001_2 - 30108/130829, c_0101_0 + 827255/130829*c_1001_2^7 + 8782745/261658*c_1001_2^6 + 9848793/130829*c_1001_2^5 + 21801101/261658*c_1001_2^4 + 5190994/130829*c_1001_2^3 + 99795/130829*c_1001_2^2 - 252817/261658*c_1001_2 + 532985/261658, c_0101_1 + 174152/130829*c_1001_2^7 + 1471368/130829*c_1001_2^6 + 4344360/130829*c_1001_2^5 + 6210813/130829*c_1001_2^4 + 4001110/130829*c_1001_2^3 + 450976/130829*c_1001_2^2 - 379586/130829*c_1001_2 + 24675/130829, c_0101_10 - 1, c_0101_3 - 877371/130829*c_1001_2^7 - 9137997/261658*c_1001_2^6 - 10263231/130829*c_1001_2^5 - 23615153/261658*c_1001_2^4 - 6430126/130829*c_1001_2^3 - 856283/130829*c_1001_2^2 + 433471/261658*c_1001_2 - 424555/261658, c_0101_7 - 590260/130829*c_1001_2^7 - 2453416/130829*c_1001_2^6 - 4227973/130829*c_1001_2^5 - 3236613/130829*c_1001_2^4 - 889344/130829*c_1001_2^3 - 98448/130829*c_1001_2^2 + 45025/130829*c_1001_2 + 160937/130829, c_0101_8 + 1445499/130829*c_1001_2^7 + 14699107/261658*c_1001_2^6 + 31417069/261658*c_1001_2^5 + 16598774/130829*c_1001_2^4 + 7701607/130829*c_1001_2^3 + 730693/130829*c_1001_2^2 + 298963/261658*c_1001_2 + 384896/130829, c_1001_2^8 + 141/22*c_1001_2^7 + 196/11*c_1001_2^6 + 295/11*c_1001_2^5 + 489/22*c_1001_2^4 + 98/11*c_1001_2^3 + 23/22*c_1001_2^2 + 5/22*c_1001_2 + 7/22 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB