Magma V2.19-8 Wed Aug 21 2013 00:53:09 on localhost [Seed = 1781301233] Type ? for help. Type -D to quit. Loading file "L12n1296__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1296 geometric_solution 12.61192862 oriented_manifold CS_known -0.0000000000000003 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 -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 5 -5 1 -1 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532311544546 0.972673869123 0 5 7 6 0132 0132 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.317058085821 0.728387898978 6 0 9 8 3012 0132 0132 0132 1 0 1 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 -4 0 4 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.208854495475 0.567032796045 10 5 11 0 0132 1230 0132 0132 1 1 1 0 0 0 0 0 -1 0 0 1 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 1 0 -1 5 0 0 -5 1 -5 0 4 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401508959458 0.835037231578 5 6 0 10 0132 3012 0132 3012 1 1 1 0 0 0 0 0 1 0 -1 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 1 -1 -5 0 5 0 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532311544546 0.972673869123 4 1 3 12 0132 0132 3012 0132 0 1 0 1 0 0 -1 1 -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 0 3 -3 5 0 -1 -4 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.695614982461 0.897210895019 4 9 1 2 1230 3120 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.015077175390 0.888738699805 11 9 8 1 0132 3012 1302 0132 0 1 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 1 -1 0 4 0 -4 0 1 0 0 -1 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.724726724910 1.261605170175 7 10 2 11 2031 0321 0132 0321 1 0 0 1 0 0 0 0 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 0 0 0 1 0 0 -1 -2 2 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428025307081 1.552891684974 7 6 12 2 1230 3120 2310 0132 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 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.724726724910 1.261605170175 3 12 4 8 0132 1302 1230 0321 1 1 0 1 0 0 0 0 1 0 -1 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 -5 0 5 0 0 2 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567032796045 0.791145504525 7 8 12 3 0132 0321 2103 0132 1 1 0 0 0 0 0 0 1 0 -1 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 -4 0 4 0 3 0 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.559637675423 0.504985413668 11 9 5 10 2103 3201 0132 2031 0 1 1 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 -1 3 -2 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.317058085821 0.728387898978 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0110_12'], 'c_1001_12' : negation(d['c_0101_9']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : negation(d['c_0101_9']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_12'], 'c_1100_8' : d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0110_12']), 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : negation(d['c_0110_12']), 'c_1100_3' : negation(d['c_0110_12']), 'c_1100_2' : d['c_0011_12'], 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0110_12']), 'c_1100_10' : d['c_0101_5'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_9']), 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0101_9']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_1001_3'], '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' : negation(d['c_1001_3']), '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_11'], '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' : negation(d['c_0011_11']), 'c_0110_6' : negation(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' : negation(d['c_0011_8']), 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : negation(d['c_0011_11']), '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' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_6, c_0011_8, c_0101_0, c_0101_1, c_0101_5, c_0101_8, c_0101_9, c_0110_12, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 36037/108*c_1001_3 - 111035/54, c_0011_0 - 1, c_0011_10 - c_1001_3, c_0011_11 - 2*c_1001_3 - 1, c_0011_12 + c_1001_3 - 1, c_0011_6 + 1, c_0011_8 + c_1001_3, c_0101_0 - 1, c_0101_1 + 1, c_0101_5 + 2/9*c_1001_3 - 4/9, c_0101_8 - c_1001_3 - 1, c_0101_9 - 2*c_1001_3 - 1, c_0110_12 - 2/9*c_1001_3 - 5/9, c_1001_3^2 - 6*c_1001_3 - 1 ], 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_6, c_0011_8, c_0101_0, c_0101_1, c_0101_5, c_0101_8, c_0101_9, c_0110_12, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 79447/565*c_0101_9^3*c_1001_3 + 112823/3955*c_0101_9^3 + 378371/2260*c_0101_9^2*c_1001_3 - 2354731/15820*c_0101_9^2 + 1136503/12656*c_0101_9*c_1001_3 - 464281/1808*c_0101_9 - 8936653/63280*c_1001_3 - 3418631/63280, c_0011_0 - 1, c_0011_10 + 1520/791*c_0101_9^3*c_1001_3 + 1104/791*c_0101_9^3 + 2628/791*c_0101_9^2*c_1001_3 - 356/791*c_0101_9^2 + 2459/791*c_0101_9*c_1001_3 - 1987/791*c_0101_9 - 598/791*c_1001_3 - 1173/791, c_0011_11 + 640/791*c_0101_9^3*c_1001_3 + 80/113*c_0101_9^3 + 940/791*c_0101_9^2*c_1001_3 - 52/113*c_0101_9^2 + 170/113*c_0101_9*c_1001_3 - 795/791*c_0101_9 - 228/791*c_1001_3 - 482/791, c_0011_12 - 16/113*c_0101_9^3*c_1001_3 + 128/791*c_0101_9^3 - 80/113*c_0101_9^2*c_1001_3 + 188/791*c_0101_9^2 + 159/791*c_0101_9*c_1001_3 + 34/113*c_0101_9 - 220/791*c_1001_3 + 429/791, c_0011_6 + 1104/791*c_0101_9^3*c_1001_3 - 1520/791*c_0101_9^3 - 356/791*c_0101_9^2*c_1001_3 - 2628/791*c_0101_9^2 - 1987/791*c_0101_9*c_1001_3 - 2459/791*c_0101_9 - 1173/791*c_1001_3 + 598/791, c_0011_8 - 1520/791*c_0101_9^3*c_1001_3 - 1104/791*c_0101_9^3 - 2628/791*c_0101_9^2*c_1001_3 + 356/791*c_0101_9^2 - 2459/791*c_0101_9*c_1001_3 + 1987/791*c_0101_9 + 598/791*c_1001_3 + 1173/791, c_0101_0 - 1, c_0101_1 + 1104/791*c_0101_9^3*c_1001_3 - 1520/791*c_0101_9^3 - 356/791*c_0101_9^2*c_1001_3 - 2628/791*c_0101_9^2 - 1987/791*c_0101_9*c_1001_3 - 2459/791*c_0101_9 - 1173/791*c_1001_3 + 598/791, c_0101_5 + 624/791*c_0101_9^3*c_1001_3 + 304/113*c_0101_9^3 + 4476/791*c_0101_9^2*c_1001_3 + 164/113*c_0101_9^2 + 759/113*c_0101_9*c_1001_3 - 1665/791*c_0101_9 + 15/791*c_1001_3 - 4069/791, c_0101_8 + 128/791*c_0101_9^3*c_1001_3 + 16/113*c_0101_9^3 + 188/791*c_0101_9^2*c_1001_3 + 80/113*c_0101_9^2 + 34/113*c_0101_9*c_1001_3 - 159/791*c_0101_9 + 429/791*c_1001_3 + 220/791, c_0101_9^4 + 7/4*c_0101_9^3*c_1001_3 + c_0101_9^3 + 5/2*c_0101_9^2*c_1001_3 - 5/16*c_0101_9^2 + 1/2*c_0101_9*c_1001_3 - 33/16*c_0101_9 - 1/2*c_1001_3 - 1/4, c_0110_12 + 1, c_1001_3^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.260 Total time: 0.470 seconds, Total memory usage: 32.09MB