Magma V2.19-8 Wed Aug 21 2013 01:07:43 on localhost [Seed = 1495220294] Type ? for help. Type -D to quit. Loading file "L14n33803__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33803 geometric_solution 12.15792563 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 0321 0132 0 1 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 0 0 0 1 0 -1 -1 0 1 0 1 -5 0 4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214496204314 0.582050790211 0 4 5 5 0132 0132 0213 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 -1 1 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 0.442565471764 1.512638457585 6 0 0 7 0132 0132 0321 0132 0 1 1 1 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 0 0 0 0 0 -1 0 1 -4 5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214496204314 0.582050790211 8 9 0 9 0132 0132 0132 0213 0 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 1 -1 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751043044876 0.602362455265 6 1 7 7 1023 0132 0132 0321 0 1 1 1 0 0 1 -1 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 1 -1 0 1 0 0 -1 4 0 0 -4 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586029143197 1.417923646188 8 1 1 9 3012 0213 0132 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 -1 0 1 -1 0 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 0.214496204314 0.582050790211 2 4 10 11 0132 1023 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 4 -4 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.200960123807 1.055791835887 12 4 2 4 0132 0321 0132 0132 0 1 1 1 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 0 -1 1 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 0.751043044876 0.602362455265 3 12 10 5 0132 0132 0321 1230 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 -1 1 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455770930030 0.602221793051 11 3 5 3 1230 0132 0132 0213 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 -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 0.751043044876 0.602362455265 11 12 8 6 0213 1230 0321 0132 1 1 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 0 0 0 0 1 -1 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.897821030672 0.507180711558 10 9 6 12 0213 3012 0132 0213 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 0.063187175788 0.914098756202 7 8 10 11 0132 0132 3012 0213 1 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 0 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.924738569312 1.088771247085 ==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_0101_9'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_12'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_1001_8'], 'c_1010_11' : negation(d['c_0101_9']), 'c_1010_10' : d['c_0101_12'], 's_3_11' : d['1'], 's_3_10' : 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_0011_10'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_9'], 'c_1100_8' : d['c_0101_9'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_9'], 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : d['c_1001_0'], 'c_1100_6' : d['c_1001_8'], 'c_1100_1' : d['c_1001_9'], 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_1001_0'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_8'], 'c_1100_10' : d['c_1001_8'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_1001_9'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_9'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_9']), 's_1_7' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0110_6' : 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' : negation(d['c_0101_6']), 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0011_5'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_12'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : negation(d['c_0011_10']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_11']), 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0011_5'], 'c_0110_1' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_11']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : d['c_0101_12'], '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_5, c_0101_12, c_0101_6, c_0101_9, c_1001_0, c_1001_1, c_1001_2, c_1001_8, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 11215987/3959300*c_1001_8^5*c_1001_9 + 93117691/3959300*c_1001_8^5 - 542943783/1979650*c_1001_8^4*c_1001_9 - 194648731/1979650*c_1001_8^4 + 1802499561/1979650*c_1001_8^3*c_1001_9 - 3402061071/3959300*c_1001_8^3 + 206615253/395930*c_1001_8^2*c_1001_\ 9 + 989173741/395930*c_1001_8^2 - 9095522031/3959300*c_1001_8*c_100\ 1_9 - 952444273/989825*c_1001_8 + 319586653/395930*c_1001_9 - 87682247/197965, c_0011_0 - 1, c_0011_10 - 467/2740*c_1001_8^5*c_1001_9 + 244/685*c_1001_8^5 - 9581/2740*c_1001_8^4*c_1001_9 - 7457/2740*c_1001_8^4 + 41097/2740*c_1001_8^3*c_1001_9 - 8233/1370*c_1001_8^3 - 3607/548*c_1001_8^2*c_1001_9 + 13721/548*c_1001_8^2 - 5624/685*c_1001_8*c_1001_9 - 10153/685*c_1001_8 + 311/137*c_1001_9 + 413/274, c_0011_11 - 159/1370*c_1001_8^5*c_1001_9 + 669/2740*c_1001_8^5 - 6109/2740*c_1001_8^4*c_1001_9 - 5223/2740*c_1001_8^4 + 7302/685*c_1001_8^3*c_1001_9 - 6479/2740*c_1001_8^3 - 5075/548*c_1001_8^2*c_1001_9 + 9127/548*c_1001_8^2 - 1581/685*c_1001_8*c_1001_9 - 9592/685*c_1001_8 + 293/274*c_1001_9 + 402/137, c_0011_12 + 329/1370*c_1001_8^5*c_1001_9 + 284/685*c_1001_8^5 - 6783/1370*c_1001_8^4*c_1001_9 + 2179/1370*c_1001_8^4 + 6371/1370*c_1001_8^3*c_1001_9 - 11894/685*c_1001_8^3 + 4323/274*c_1001_8^2*c_1001_9 + 6367/274*c_1001_8^2 - 11734/685*c_1001_8*c_1001_9 - 3968/685*c_1001_8 + 490/137*c_1001_9 + 91/137, c_0011_5 + 1, c_0101_12 - 159/1370*c_1001_8^5*c_1001_9 + 669/2740*c_1001_8^5 - 6109/2740*c_1001_8^4*c_1001_9 - 5223/2740*c_1001_8^4 + 7302/685*c_1001_8^3*c_1001_9 - 6479/2740*c_1001_8^3 - 5075/548*c_1001_8^2*c_1001_9 + 9127/548*c_1001_8^2 - 1581/685*c_1001_8*c_1001_9 - 9592/685*c_1001_8 + 293/274*c_1001_9 + 402/137, c_0101_6 - 29/1370*c_1001_8^5*c_1001_9 + 639/2740*c_1001_8^5 - 6689/2740*c_1001_8^4*c_1001_9 - 1573/2740*c_1001_8^4 + 6709/1370*c_1001_8^3*c_1001_9 - 16829/2740*c_1001_8^3 + 2209/548*c_1001_8^2*c_1001_9 + 5399/548*c_1001_8^2 - 3261/685*c_1001_8*c_1001_9 - 862/685*c_1001_8 + 243/274*c_1001_9 - 43/137, c_0101_9 - 29/1370*c_1001_8^5*c_1001_9 + 639/2740*c_1001_8^5 - 6689/2740*c_1001_8^4*c_1001_9 - 1573/2740*c_1001_8^4 + 6709/1370*c_1001_8^3*c_1001_9 - 16829/2740*c_1001_8^3 + 2209/548*c_1001_8^2*c_1001_9 + 5399/548*c_1001_8^2 - 3261/685*c_1001_8*c_1001_9 - 862/685*c_1001_8 + 243/274*c_1001_9 - 43/137, c_1001_0 - 1, c_1001_1 - 123/1370*c_1001_8^5*c_1001_9 - 77/2740*c_1001_8^5 + 1297/2740*c_1001_8^4*c_1001_9 - 2231/2740*c_1001_8^4 + 634/685*c_1001_8^3*c_1001_9 + 7137/2740*c_1001_8^3 - 1279/548*c_1001_8^2*c_1001_9 - 1449/548*c_1001_8^2 + 2538/685*c_1001_8*c_1001_9 + 2816/685*c_1001_8 - 1133/274*c_1001_9 - 69/137, c_1001_2 - 77/2740*c_1001_8^5*c_1001_9 + 123/1370*c_1001_8^5 - 2231/2740*c_1001_8^4*c_1001_9 - 1297/2740*c_1001_8^4 + 7137/2740*c_1001_8^3*c_1001_9 - 634/685*c_1001_8^3 - 1449/548*c_1001_8^2*c_1001_9 + 1279/548*c_1001_8^2 + 2816/685*c_1001_8*c_1001_9 - 2538/685*c_1001_8 - 69/137*c_1001_9 + 1133/274, c_1001_8^6 - 12*c_1001_8^5*c_1001_9 - 3*c_1001_8^5 + 37*c_1001_8^4*c_1001_9 - 40*c_1001_8^4 + 26*c_1001_8^3*c_1001_9 + 113*c_1001_8^3 - 111*c_1001_8^2*c_1001_9 - 55*c_1001_8^2 + 58*c_1001_8*c_1001_9 - 16*c_1001_8 - 8*c_1001_9 + 6, c_1001_9^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.310 Total time: 0.520 seconds, Total memory usage: 32.09MB