Magma V2.19-8 Tue Aug 20 2013 23:53:31 on localhost [Seed = 778585557] Type ? for help. Type -D to quit. Loading file "L13n6356__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6356 geometric_solution 11.20000535 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 -1 -6 7 -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 0.733997806227 0.781288316291 0 5 7 6 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 1 0 -7 6 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674117029613 0.634206501618 8 0 9 3 0132 0132 0132 1230 1 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 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 0.699583672188 0.419463515838 2 10 11 0 3012 0132 0132 0132 1 1 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 0 -6 6 1 0 0 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336402460230 1.336546200352 6 7 0 9 0132 3120 0132 3012 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 0 0 0 0 0 0 -7 7 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 0.383484474442 0.886444307275 8 1 8 6 3201 0132 2310 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.893420893165 0.543281741000 4 5 1 11 0132 1302 0132 2031 0 1 0 0 0 1 0 -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 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.213079173257 0.740331845445 11 4 9 1 2031 3120 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 -7 7 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588908182646 0.950260116243 2 5 10 5 0132 3201 1302 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.046147348874 0.549467621269 10 7 4 2 3120 3201 1230 0132 1 0 0 1 0 0 0 0 0 0 0 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 0 0 0 0 0 1 -1 1 0 0 -1 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.872380653340 0.783159782935 8 3 11 9 2031 0132 1302 3120 1 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 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 -0.051425332131 0.630424328055 10 6 7 3 2031 1302 1302 0132 1 1 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 -6 0 6 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 0.733997806227 0.781288316291 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_1'], 'c_1001_10' : d['c_0101_3'], 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_1001_2']), 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0011_9']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : d['c_0101_2'], 'c_1010_11' : negation(d['c_0011_9']), 'c_1010_10' : negation(d['c_0011_9']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_7']), 'c_0101_10' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_1100_8' : d['c_0011_0'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_0011_9'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0101_0'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_0'], 'c_1100_11' : d['c_0101_7'], 'c_1100_10' : negation(d['c_0011_7']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_7']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0110_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0110_5']), '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' : d['c_0011_9'], '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' : negation(d['c_0011_4']), '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_3'], 'c_0110_10' : d['c_0101_2'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_0011_7'], 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], '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_10']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : 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_4, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_7, c_0110_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 3387082/2187489*c_1001_2^5 + 50387249/12395771*c_1001_2^4 + 429716569/37187313*c_1001_2^3 + 258185959/37187313*c_1001_2^2 + 257932899/24791542*c_1001_2 + 449165051/24791542, c_0011_0 - 1, c_0011_10 - 931481/729163*c_1001_2^5 - 1994993/729163*c_1001_2^4 - 1846419/729163*c_1001_2^3 - 2396169/729163*c_1001_2^2 - 2649275/729163*c_1001_2 - 33365/38377, c_0011_4 - 829107/729163*c_1001_2^5 - 1999701/729163*c_1001_2^4 - 2059764/729163*c_1001_2^3 - 1712206/729163*c_1001_2^2 - 1567570/729163*c_1001_2 - 29462/38377, c_0011_7 - 4675/38377*c_1001_2^5 + 34233/38377*c_1001_2^4 + 69016/38377*c_1001_2^3 + 57380/38377*c_1001_2^2 + 41409/38377*c_1001_2 + 55785/38377, c_0011_9 + 51357/38377*c_1001_2^5 + 103159/38377*c_1001_2^4 + 85145/38377*c_1001_2^3 + 79978/38377*c_1001_2^2 + 86847/38377*c_1001_2 + 5395/38377, c_0101_0 - 1, c_0101_1 + 4675/38377*c_1001_2^5 - 34233/38377*c_1001_2^4 - 69016/38377*c_1001_2^3 - 57380/38377*c_1001_2^2 - 79786/38377*c_1001_2 - 55785/38377, c_0101_2 + 726954/729163*c_1001_2^5 + 1423926/729163*c_1001_2^4 + 1419133/729163*c_1001_2^3 + 1691197/729163*c_1001_2^2 + 1697458/729163*c_1001_2 + 25714/38377, c_0101_3 - 12801/38377*c_1001_2^5 - 50980/38377*c_1001_2^4 - 23700/38377*c_1001_2^3 - 2671/38377*c_1001_2^2 - 43751/38377*c_1001_2 + 637/38377, c_0101_7 + 9894/38377*c_1001_2^5 + 8212/38377*c_1001_2^4 + 15260/38377*c_1001_2^3 + 29280/38377*c_1001_2^2 - 8231/38377*c_1001_2 + 1954/38377, c_0110_5 - 306680/729163*c_1001_2^5 - 1146842/729163*c_1001_2^4 - 1067917/729163*c_1001_2^3 - 725981/729163*c_1001_2^2 - 821929/729163*c_1001_2 - 11399/38377, c_1001_2^6 + 30/17*c_1001_2^5 + 24/17*c_1001_2^4 + 44/17*c_1001_2^3 + 39/17*c_1001_2^2 + 6/17*c_1001_2 + 19/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB