Magma V2.19-8 Tue Aug 20 2013 23:43:15 on localhost [Seed = 4155609821] Type ? for help. Type -D to quit. Loading file "L13n7874__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n7874 geometric_solution 10.94732545 oriented_manifold CS_known 0.0000000000000006 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 2 1 0 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 1 0 -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 0.485850514598 0.752879045805 0 5 7 6 0132 0132 0132 0132 2 1 1 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 -1 1 0 -1 0 1 0 0 2 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394863517663 0.937725830713 8 0 7 6 0132 0132 3012 2031 2 2 1 0 0 0 0 0 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 1 0 -1 2 0 -2 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618580354334 0.905799189045 8 7 5 0 1302 3012 1302 0132 2 1 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 0 0 0 0 0 0 0 0 1 0 -2 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 0.394863517663 0.937725830713 8 5 0 9 3012 1302 0132 0132 2 1 2 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 -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 0.485850514598 0.752879045805 3 1 10 4 2031 0132 0132 2031 2 2 0 1 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 0 1 -1 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618580354334 0.905799189045 9 2 1 10 0132 1302 0132 1302 2 1 2 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 0 0 0 0 0 1 0 -1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319244226594 0.744179643728 3 2 9 1 1230 1230 0213 0132 2 1 0 2 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 2 -1 -1 0 0 1 -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 0.394863517663 0.937725830713 2 3 10 4 0132 2031 3012 1230 1 2 0 1 0 0 0 0 -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 0 0 0 -2 0 2 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 0.394863517663 0.937725830713 6 7 4 10 0132 0213 0132 1230 2 1 1 2 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.058633069799 1.042480828736 9 8 6 5 3012 1230 2031 0132 2 2 1 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 0 0 0 0 0 0 0 0 0 -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 0.669223864923 0.731573343669 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_9'], 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_1001_7'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0101_8'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : 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' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_5'], 'c_1100_8' : d['c_0101_9'], 'c_1100_5' : negation(d['c_1001_7']), 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_1001_7']), 'c_1100_10' : negation(d['c_1001_7']), 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_1001_7'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_1001_7'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_0011_3'], 's_3_1' : d['1'], 's_3_0' : negation(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' : 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_6']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_5'], 'c_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0011_10'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0011_10'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0011_10'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10']})} 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_10, c_0011_3, c_0011_4, c_0011_6, c_0011_7, c_0101_10, c_0101_5, c_0101_8, c_0101_9, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 59487/18176*c_1001_7^4 - 564383/9088*c_1001_7^3 + 863263/18176*c_1001_7^2 - 464009/9088*c_1001_7 + 945697/18176, c_0011_0 - 1, c_0011_10 - 1, c_0011_3 + 5/71*c_1001_7^4 + 739/568*c_1001_7^3 - 953/568*c_1001_7^2 + 1097/568*c_1001_7 - 75/71, c_0011_4 - 23/284*c_1001_7^4 - 112/71*c_1001_7^3 + 53/142*c_1001_7^2 - 203/284*c_1001_7 + 104/71, c_0011_6 - 1, c_0011_7 + 5/71*c_1001_7^4 + 739/568*c_1001_7^3 - 953/568*c_1001_7^2 + 1097/568*c_1001_7 - 146/71, c_0101_10 + 11/142*c_1001_7^4 + 205/142*c_1001_7^3 - 239/142*c_1001_7^2 + 47/71*c_1001_7 - 47/71, c_0101_5 - 1, c_0101_8 + 17/71*c_1001_7^4 + 653/142*c_1001_7^3 - 345/142*c_1001_7^2 + 439/142*c_1001_7 - 255/71, c_0101_9 - 11/142*c_1001_7^4 - 205/142*c_1001_7^3 + 239/142*c_1001_7^2 - 47/71*c_1001_7 + 47/71, c_1001_7^5 + 18*c_1001_7^4 - 33*c_1001_7^3 + 30*c_1001_7^2 - 31*c_1001_7 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB