Magma V2.19-8 Wed Aug 21 2013 00:56:41 on localhost [Seed = 2968955510] Type ? for help. Type -D to quit. Loading file "L13n2779__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2779 geometric_solution 11.85143333 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 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 0.933918940373 1.035763524101 0 5 7 6 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480742079291 0.150983954626 6 0 9 8 1230 0132 0132 0132 1 0 1 1 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 1 -1 0 1 0 0 -1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.679824520006 0.701733358301 6 10 8 0 0132 0132 2031 0132 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 0 1 -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 0.590885375771 1.066187267416 5 5 0 11 0132 1230 0132 0132 1 1 1 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 3 -2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.228246659184 0.657766156719 4 1 4 9 0132 0132 3012 2031 1 1 1 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 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529148395652 1.356910332371 3 2 1 12 0132 3012 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 -1 0 1 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 0.787212831719 0.945044101424 8 9 10 1 0321 2031 1302 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555496818490 1.062454767386 7 11 2 3 0321 1302 0132 1302 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 0 0 0 0 0 -1 0 1 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 0.715498674379 0.847148150941 7 5 12 2 1302 1302 1302 0132 1 0 1 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 -1 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 0.386228835243 1.492199557745 7 3 11 12 2031 0132 1302 2031 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 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 0.651849343262 0.575479164990 10 12 4 8 2031 2310 0132 2031 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 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 -0.242515924188 0.714993679212 9 10 6 11 2031 1302 0132 3201 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 0 -1 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 0.555496818490 1.062454767386 ==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_11'], 'c_1001_12' : negation(d['c_0101_2']), 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0011_9'], 'c_1001_0' : d['c_0110_11'], 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_8']), 'c_1001_8' : d['c_0110_11'], 'c_1010_12' : negation(d['c_0101_11']), 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_11']), '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_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_12'], 'c_1100_8' : d['c_0101_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : negation(d['c_1010_8']), 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0011_11']), 'c_1100_0' : negation(d['c_1010_8']), 'c_1100_3' : negation(d['c_1010_8']), 'c_1100_2' : d['c_0101_12'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1010_8']), 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_9'], 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_0110_11'], 'c_1010_2' : d['c_0110_11'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1010_8'], '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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_11']), '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_12'], 'c_0011_6' : d['c_0011_10'], '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_0110_11'], 'c_0110_10' : negation(d['c_0101_2']), 'c_0110_12' : negation(d['c_0011_8']), 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : negation(d['c_0011_8']), 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_8']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : negation(d['c_0011_12']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_8']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0101_12']})} 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_12, c_0011_8, c_0011_9, c_0101_0, c_0101_11, c_0101_12, c_0101_2, c_0110_11, c_1001_2, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 6718712164/870931915*c_1010_8^6 + 28250129298/870931915*c_1010_8^5 + 435143687/870931915*c_1010_8^4 - 55483713182/870931915*c_1010_8^3 - 18766669797/124418845*c_1010_8^2 + 87508644472/870931915*c_1010_8 - 4017060349/870931915, c_0011_0 - 1, c_0011_10 - 1202340/858061*c_1010_8^6 + 5185570/858061*c_1010_8^5 - 547825/858061*c_1010_8^4 - 9637150/858061*c_1010_8^3 - 22160081/858061*c_1010_8^2 + 17313195/858061*c_1010_8 - 4494325/858061, c_0011_11 - 571064/858061*c_1010_8^6 + 2389748/858061*c_1010_8^5 + 16990/858061*c_1010_8^4 - 4461510/858061*c_1010_8^3 - 11386818/858061*c_1010_8^2 + 7069268/858061*c_1010_8 - 864499/858061, c_0011_12 + 1053316/858061*c_1010_8^6 - 4618778/858061*c_1010_8^5 + 837097/858061*c_1010_8^4 + 8372678/858061*c_1010_8^3 + 18927280/858061*c_1010_8^2 - 17095219/858061*c_1010_8 + 4690058/858061, c_0011_8 - 300680/858061*c_1010_8^6 + 1443188/858061*c_1010_8^5 - 691370/858061*c_1010_8^4 - 2641560/858061*c_1010_8^3 - 4504910/858061*c_1010_8^2 + 7495359/858061*c_1010_8 - 1948070/858061, c_0011_9 + 645468/858061*c_1010_8^6 - 2723034/858061*c_1010_8^5 + 20993/858061*c_1010_8^4 + 5326461/858061*c_1010_8^3 + 12242564/858061*c_1010_8^2 - 8744239/858061*c_1010_8 + 1342216/858061, c_0101_0 - 406532/858061*c_1010_8^6 + 1740942/858061*c_1010_8^5 - 181147/858061*c_1010_8^4 - 2989909/858061*c_1010_8^3 - 7665062/858061*c_1010_8^2 + 5250307/858061*c_1010_8 - 2178074/858061, c_0101_11 - 224960/858061*c_1010_8^6 + 955100/858061*c_1010_8^5 - 18430/858061*c_1010_8^4 - 1720301/858061*c_1010_8^3 - 4629510/858061*c_1010_8^2 + 2719715/858061*c_1010_8 - 300585/858061, c_0101_12 - 857552/858061*c_1010_8^6 + 3905724/858061*c_1010_8^5 - 1218202/858061*c_1010_8^4 - 6952249/858061*c_1010_8^3 - 14422427/858061*c_1010_8^2 + 16922376/858061*c_1010_8 - 5100179/858061, c_0101_2 - 1, c_0110_11 + 331912/858061*c_1010_8^6 - 1507436/858061*c_1010_8^5 + 508402/858061*c_1010_8^4 + 2590388/858061*c_1010_8^3 + 5288007/858061*c_1010_8^2 - 5849241/858061*c_1010_8 + 1993463/858061, c_1001_2 + 449704/858061*c_1010_8^6 - 2009980/858061*c_1010_8^5 + 402098/858061*c_1010_8^4 + 3906032/858061*c_1010_8^3 + 7737711/858061*c_1010_8^2 - 7713335/858061*c_1010_8 + 1752337/858061, c_1010_8^7 - 9/2*c_1010_8^6 + 5/4*c_1010_8^5 + 8*c_1010_8^4 + 17*c_1010_8^3 - 73/4*c_1010_8^2 + 6*c_1010_8 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.450 seconds, Total memory usage: 32.09MB