Magma V2.19-8 Wed Aug 21 2013 00:57:38 on localhost [Seed = 1864988125] Type ? for help. Type -D to quit. Loading file "L13n4382__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4382 geometric_solution 12.22608792 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 0132 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 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 0.131679355389 0.908888118528 0 4 0 5 0132 0132 3012 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 -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 0.843873973020 1.077625953560 6 7 8 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.074773745851 0.927177016780 9 9 0 5 0132 1302 0132 2031 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511650367393 0.554671282138 10 1 9 10 0132 0132 1023 2031 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 -1 0 0 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 0.080692954400 0.661414216572 11 3 1 8 0132 1302 0132 1302 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 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 0.987245396905 0.885980321249 2 11 11 12 0132 0213 0132 0132 1 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 1 0 -1 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 0.588754324600 0.959592547672 8 2 12 12 1230 0132 1302 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 -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 1.040728986015 1.380055337902 12 7 5 2 3201 3012 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.934832681159 1.007667297831 3 10 4 3 0132 1230 1023 2031 1 1 0 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.894174808277 1.015610649105 4 4 9 11 0132 1302 3012 2031 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 -1 0 1 1 0 0 -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 0.818250973439 1.489738365762 5 10 6 6 0132 1302 0213 0132 1 1 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 0 0 0 1 -1 0 -1 0 1 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 0.535481043707 0.757105145707 7 7 6 8 2031 1302 0132 2310 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.880761613734 0.902975136385 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_4'], 'c_1001_10' : d['c_0011_3'], 'c_1001_12' : d['c_0011_8'], 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_0101_9'], 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0101_8']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : d['c_0101_4'], 'c_1001_8' : d['c_0011_2'], 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : d['c_0101_4'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : negation(d['c_0011_2']), 'c_0101_10' : d['c_0011_3'], '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_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' : negation(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' : d['c_0011_11'], 'c_0011_10' : negation(d['c_0011_0']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_8'], 'c_1100_4' : negation(d['c_0011_11']), 'c_1100_7' : d['c_0101_12'], 'c_1100_6' : d['c_0011_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : negation(d['c_1010_5']), 'c_1100_3' : negation(d['c_1010_5']), 'c_1100_2' : negation(d['c_1010_5']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_11'], 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : negation(d['c_0101_4']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : d['c_1010_5'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0101_8']), 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : d['c_0011_12'], 'c_1100_8' : negation(d['c_1010_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' : negation(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_0011_8'], '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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_4'], 'c_0110_12' : negation(d['c_0101_8']), 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_9'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : d['c_0101_12'], 's_2_9' : d['1']})} 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_11, c_0011_12, c_0011_2, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_12, c_0101_4, c_0101_8, c_0101_9, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 5853401/226708*c_1010_5^7 - 46450947/226708*c_1010_5^6 - 48115709/113354*c_1010_5^5 - 56333113/226708*c_1010_5^4 - 170484493/226708*c_1010_5^3 + 6580875/56677*c_1010_5^2 - 76803171/226708*c_1010_5 + 24931447/226708, c_0011_0 - 1, c_0011_11 - 1315/2983*c_1010_5^7 - 10470/2983*c_1010_5^6 - 21231/2983*c_1010_5^5 - 7601/2983*c_1010_5^4 - 25539/2983*c_1010_5^3 + 12504/2983*c_1010_5^2 - 3448/2983*c_1010_5 + 2703/2983, c_0011_12 + 917/2983*c_1010_5^7 + 7131/2983*c_1010_5^6 + 13367/2983*c_1010_5^5 + 2229/2983*c_1010_5^4 + 17308/2983*c_1010_5^3 - 10101/2983*c_1010_5^2 + 6381/2983*c_1010_5 + 1148/2983, c_0011_2 + 683/5966*c_1010_5^7 + 4973/5966*c_1010_5^6 + 3210/2983*c_1010_5^5 - 10493/5966*c_1010_5^4 - 2941/5966*c_1010_5^3 - 10445/2983*c_1010_5^2 - 10647/5966*c_1010_5 + 8119/5966, c_0011_3 + 2687/5966*c_1010_5^7 + 11230/2983*c_1010_5^6 + 26456/2983*c_1010_5^5 + 41859/5966*c_1010_5^4 + 40530/2983*c_1010_5^3 + 6230/2983*c_1010_5^2 + 25041/5966*c_1010_5 - 1506/2983, c_0011_8 - 783/5966*c_1010_5^7 - 7221/5966*c_1010_5^6 - 10074/2983*c_1010_5^5 - 17329/5966*c_1010_5^4 - 14177/5966*c_1010_5^3 - 5832/2983*c_1010_5^2 + 9795/5966*c_1010_5 - 4783/5966, c_0101_0 - 1, c_0101_1 + 951/5966*c_1010_5^7 + 3888/2983*c_1010_5^6 + 8361/2983*c_1010_5^5 + 7035/5966*c_1010_5^4 + 9118/2983*c_1010_5^3 + 603/2983*c_1010_5^2 + 3807/5966*c_1010_5 + 1916/2983, c_0101_12 + 1915/5966*c_1010_5^7 + 15009/5966*c_1010_5^6 + 14512/2983*c_1010_5^5 + 7485/5966*c_1010_5^4 + 38757/5966*c_1010_5^3 - 7029/2983*c_1010_5^2 + 11543/5966*c_1010_5 + 1145/5966, c_0101_4 - 351/2983*c_1010_5^7 - 3237/2983*c_1010_5^6 - 8929/2983*c_1010_5^5 - 7151/2983*c_1010_5^4 - 5018/2983*c_1010_5^3 - 2760/2983*c_1010_5^2 + 7271/2983*c_1010_5 + 16/2983, c_0101_8 + 351/2983*c_1010_5^7 + 3237/2983*c_1010_5^6 + 8929/2983*c_1010_5^5 + 7151/2983*c_1010_5^4 + 5018/2983*c_1010_5^3 + 2760/2983*c_1010_5^2 - 4288/2983*c_1010_5 + 2967/2983, c_0101_9 + 398/2983*c_1010_5^7 + 3339/2983*c_1010_5^6 + 7864/2983*c_1010_5^5 + 5372/2983*c_1010_5^4 + 8231/2983*c_1010_5^3 - 2403/2983*c_1010_5^2 - 2933/2983*c_1010_5 - 868/2983, c_1010_5^8 + 8*c_1010_5^7 + 17*c_1010_5^6 + 11*c_1010_5^5 + 30*c_1010_5^4 - 3*c_1010_5^3 + 15*c_1010_5^2 - 4*c_1010_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.700 Total time: 0.910 seconds, Total memory usage: 32.09MB