Magma V2.19-8 Wed Aug 21 2013 01:01:34 on localhost [Seed = 1208898441] Type ? for help. Type -D to quit. Loading file "L14n1240__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1240 geometric_solution 12.21480437 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 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 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357393634849 0.726992895850 0 5 7 6 0132 0132 0132 0132 1 1 1 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 -1 1 0 0 0 9 -9 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.011210619202 0.657746197907 6 0 8 5 0132 0132 0132 3012 1 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 -1 0 1 -1 0 0 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 0.789169712806 0.924156784072 5 8 9 0 3012 0132 0132 0132 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 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 0.306029773618 0.803529614261 10 9 0 11 0132 0132 0132 0132 1 1 1 0 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 1 -1 0 0 0 0 -10 0 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.503725674115 0.903391249377 12 1 2 3 0132 0132 1230 1230 1 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 0 0 0 0 1 -1 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 0.122284479762 1.015978685863 2 12 1 7 0132 0132 0132 0321 1 1 0 1 0 0 0 0 0 0 -1 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 1 0 9 -10 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701102738740 0.466376024767 10 6 11 1 3120 0321 0213 0132 1 1 0 1 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 1 -1 0 0 9 -9 0 -1 0 1 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.610188815501 0.904008527060 10 3 12 2 1023 0132 2031 0132 1 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 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 0.691399235158 0.618722955664 12 4 11 3 2031 0132 0132 0132 1 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 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 0.630818983144 1.382196144421 4 8 11 7 0132 1023 1302 3120 1 1 0 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 10 -1 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.745347189859 0.503305770545 10 7 4 9 2031 0213 0132 0132 1 1 1 1 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 -1 1 0 0 0 0 0 9 -9 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.169676766633 0.897656456717 5 6 9 8 0132 0132 1302 1302 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.116776574356 0.970217240846 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0101_8'], 'c_1001_12' : d['c_0101_3'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_11'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_11'], 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : d['c_1001_11'], 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_3_10' : 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' : negation(d['c_0011_11']), 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : negation(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_12' : 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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1001_5']), 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1001_11'], 'c_1100_6' : d['c_1001_11'], 'c_1100_1' : d['c_1001_11'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1001_5']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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_0101_8'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_8'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_7'])})} 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_7, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_8, c_1001_11, c_1001_2, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 120732123531/21677708*c_1100_0^4 - 21566063041/238454788*c_1100_0^3 - 244846747885/6444724*c_1100_0^2 + 5087444325473/238454788*c_1100_0 - 3963727732687/119227394, c_0011_0 - 1, c_0011_10 - 6743/43882*c_1100_0^4 - 10759/87764*c_1100_0^3 - 622/593*c_1100_0^2 - 15231/43882*c_1100_0 - 37955/87764, c_0011_11 + 7535/87764*c_1100_0^4 + 2271/87764*c_1100_0^3 + 126/593*c_1100_0^2 - 53993/87764*c_1100_0 + 15247/87764, c_0011_7 - 84755/175528*c_1100_0^4 - 881/175528*c_1100_0^3 - 3733/1186*c_1100_0^2 + 308797/175528*c_1100_0 - 238445/175528, c_0101_0 - 1, c_0101_1 + 36553/175528*c_1100_0^4 + 25815/175528*c_1100_0^3 + 1831/1186*c_1100_0^2 - 54879/175528*c_1100_0 + 139115/175528, c_0101_3 + 1, c_0101_5 - 275/87764*c_1100_0^4 - 10653/87764*c_1100_0^3 + 56/593*c_1100_0^2 - 83231/87764*c_1100_0 - 22017/87764, c_0101_8 + 275/43882*c_1100_0^4 + 10653/43882*c_1100_0^3 - 112/593*c_1100_0^2 + 83231/43882*c_1100_0 - 21865/43882, c_1001_11 + 1815/21941*c_1100_0^4 - 4191/43882*c_1100_0^3 + 182/593*c_1100_0^2 - 12365/21941*c_1100_0 - 3385/43882, c_1001_2 + 6743/43882*c_1100_0^4 + 10759/87764*c_1100_0^3 + 622/593*c_1100_0^2 + 15231/43882*c_1100_0 + 37955/87764, c_1001_5 - 16841/43882*c_1100_0^4 + 4085/43882*c_1100_0^3 - 1538/593*c_1100_0^2 + 77499/43882*c_1100_0 - 56435/43882, c_1100_0^5 - 2/11*c_1100_0^4 + 75/11*c_1100_0^3 - 57/11*c_1100_0^2 + 74/11*c_1100_0 - 13/11 ], 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_7, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_8, c_1001_11, c_1001_2, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 15941/107010*c_1100_0^5 - 1338685/128412*c_1100_0^4 + 1060604/96309*c_1100_0^3 - 22805347/963090*c_1100_0^2 + 2174801/107010*c_1100_0 - 4054727/214020, c_0011_0 - 1, c_0011_10 - 53/82*c_1100_0^5 - 209/492*c_1100_0^4 - 284/369*c_1100_0^3 - 113/123*c_1100_0^2 - 137/492*c_1100_0 - 99/82, c_0011_11 + 185/82*c_1100_0^5 - 649/492*c_1100_0^4 + 6785/1476*c_1100_0^3 - 527/246*c_1100_0^2 + 1193/492*c_1100_0 + 203/164, c_0011_7 + 571/164*c_1100_0^5 - 3527/984*c_1100_0^4 + 22717/2952*c_1100_0^3 - 1119/164*c_1100_0^2 + 6331/984*c_1100_0 - 521/328, c_0101_0 - 1, c_0101_1 - 69/164*c_1100_0^5 - 773/328*c_1100_0^4 + 1171/984*c_1100_0^3 - 891/164*c_1100_0^2 + 1169/328*c_1100_0 - 1405/328, c_0101_3 - 1, c_0101_5 - 79/82*c_1100_0^5 + 1067/492*c_1100_0^4 - 4513/1476*c_1100_0^3 + 979/246*c_1100_0^2 - 1411/492*c_1100_0 + 357/164, c_0101_8 - 79/41*c_1100_0^5 + 1067/246*c_1100_0^4 - 4513/738*c_1100_0^3 + 979/123*c_1100_0^2 - 1411/246*c_1100_0 + 275/82, c_1001_11 + 25/41*c_1100_0^5 - 347/246*c_1100_0^4 + 992/369*c_1100_0^3 - 356/123*c_1100_0^2 + 733/246*c_1100_0 - 50/41, c_1001_2 + 53/82*c_1100_0^5 + 209/492*c_1100_0^4 + 284/369*c_1100_0^3 + 113/123*c_1100_0^2 + 137/492*c_1100_0 + 99/82, c_1001_5 - 107/41*c_1100_0^5 + 511/246*c_1100_0^4 - 3665/738*c_1100_0^3 + 397/123*c_1100_0^2 - 815/246*c_1100_0 - 23/82, c_1100_0^6 - 11/6*c_1100_0^5 + 35/9*c_1100_0^4 - 9/2*c_1100_0^3 + 31/6*c_1100_0^2 - 3*c_1100_0 + 3/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB