Magma V2.19-8 Wed Aug 21 2013 00:54:31 on localhost [Seed = 3069226216] Type ? for help. Type -D to quit. Loading file "L12n345__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n345 geometric_solution 11.47162836 oriented_manifold CS_known 0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 3012 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 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 0 0 0 1.175788792127 0.784432240503 0 4 6 5 0132 0132 0132 0132 0 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 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 0.607354565870 0.411462103555 3 0 0 4 2031 0132 1230 1230 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 0 -1 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 1.272019649514 0.786151377757 5 7 2 0 0132 0132 1302 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214709131741 0.822924207109 2 1 7 8 3012 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -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 0.871467067939 0.764542756818 3 9 1 7 0132 0132 0132 1023 0 1 1 1 0 1 1 -2 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 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.213848622243 1.272019649514 10 11 8 1 0132 0132 0132 0132 0 1 1 0 0 1 0 -1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.250000000000 0.661437827766 12 3 4 5 0132 0132 1023 1023 1 0 1 1 0 0 0 0 -2 0 0 2 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 -1 0 0 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351577584254 0.568864481006 10 9 4 6 2103 1302 0132 0132 0 1 0 1 0 0 0 0 0 0 0 0 2 -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 -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 0.500000000000 1.322875655532 11 5 12 8 2031 0132 1023 2031 0 0 1 1 0 -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 -1 0 1 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 0.250000000000 0.661437827766 6 12 8 11 0132 1302 2103 2103 0 1 0 1 0 2 -2 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 1 -1 0 0 0 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 0.500000000000 1.322875655532 12 6 9 10 1302 0132 1302 2103 0 1 0 1 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 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 0.500000000000 1.322875655532 7 11 9 10 0132 2031 1023 2031 0 0 1 1 0 0 0 0 2 0 0 -2 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 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 1.500000000000 1.322875655532 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_9'], 'c_1001_10' : d['c_0011_8'], 'c_1001_12' : negation(d['c_0101_6']), 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_0011_8'], 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0110_9'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0101_2']), 'c_1001_9' : d['c_0101_12'], 'c_1001_8' : d['c_0110_9'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_1001_6'], 'c_1010_10' : negation(d['c_1001_6']), 's_0_10' : d['1'], 's_0_11' : 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_12']), 'c_0101_10' : d['c_0101_1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : negation(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_1100_9' : negation(d['c_1001_6']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_1100_1']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_1'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_6']), 'c_1100_10' : negation(d['c_0101_6']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_0'], 'c_1010_6' : d['c_0110_9'], 'c_1010_5' : d['c_0101_12'], 'c_1010_4' : d['c_0110_9'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : d['c_0011_8'], 'c_1010_8' : d['c_1001_6'], 'c_1100_8' : d['c_1100_1'], 's_3_1' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_6'], 's_1_7' : d['1'], 's_1_6' : negation(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' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_12'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0011_8'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0011_8'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_6']), 'c_0101_8' : d['c_0101_1'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_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_10, c_0011_12, c_0011_8, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_4, c_0101_6, c_0110_9, c_1001_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 2392/5945*c_1001_6^3*c_1100_1 + 864/5945*c_1001_6^3 - 2304/5945*c_1001_6^2*c_1100_1 + 1548/5945*c_1001_6^2 - 1037/11890*c_1001_6*c_1100_1 + 3019/11890*c_1001_6 - 1269/23780*c_1100_1 + 1959/11890, c_0011_0 - 1, c_0011_10 - 32/41*c_1001_6^3*c_1100_1 + 288/41*c_1001_6^3 + 216/41*c_1001_6^2*c_1100_1 + 24/41*c_1001_6^2 + 80/41*c_1001_6*c_1100_1 - 64/41*c_1001_6 + 48/41*c_1100_1 + 19/41, c_0011_12 - 192/41*c_1001_6^3*c_1100_1 - 240/41*c_1001_6^3 - 180/41*c_1001_6^2*c_1100_1 - 20/41*c_1001_6^2 - 135/41*c_1001_6*c_1100_1 - 15/41*c_1001_6 - 122/41*c_1100_1 + 32/41, c_0011_8 + 1, c_0101_0 + 192/41*c_1001_6^3*c_1100_1 + 240/41*c_1001_6^3 + 180/41*c_1001_6^2*c_1100_1 + 20/41*c_1001_6^2 + 135/41*c_1001_6*c_1100_1 + 15/41*c_1001_6 + 163/41*c_1100_1 - 32/41, c_0101_1 - 192/41*c_1001_6^3*c_1100_1 - 240/41*c_1001_6^3 - 180/41*c_1001_6^2*c_1100_1 - 20/41*c_1001_6^2 - 135/41*c_1001_6*c_1100_1 - 15/41*c_1001_6 - 122/41*c_1100_1 + 32/41, c_0101_12 - c_1100_1, c_0101_2 - 24/41*c_1001_6^3*c_1100_1 + 216/41*c_1001_6^3 + 80/41*c_1001_6^2*c_1100_1 + 100/41*c_1001_6^2 + 60/41*c_1001_6*c_1100_1 + 75/41*c_1001_6 + 36/41*c_1100_1 + 4/41, c_0101_4 + 192/41*c_1001_6^3*c_1100_1 + 240/41*c_1001_6^3 + 180/41*c_1001_6^2*c_1100_1 + 20/41*c_1001_6^2 + 135/41*c_1001_6*c_1100_1 + 15/41*c_1001_6 + 81/41*c_1100_1 - 32/41, c_0101_6 + 144/41*c_1001_6^3*c_1100_1 + 16/41*c_1001_6^3 + 12/41*c_1001_6^2*c_1100_1 - 108/41*c_1001_6^2 - 32/41*c_1001_6*c_1100_1 - 40/41*c_1001_6 - 11/41*c_1100_1 - 24/41, c_0110_9 - 1, c_1001_6^4 + 3/4*c_1001_6^3*c_1100_1 + 3/4*c_1001_6^3 + 9/16*c_1001_6^2*c_1100_1 + 1/16*c_1001_6^2 + 3/8*c_1001_6*c_1100_1 + 1/8*c_1100_1, c_1100_1^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.280 seconds, Total memory usage: 32.09MB