Magma V2.19-8 Tue Aug 20 2013 23:53:24 on localhost [Seed = 4240086795] Type ? for help. Type -D to quit. Loading file "L13n5913__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5913 geometric_solution 10.70758759 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 0 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 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 0.155392104782 0.566662678575 0 5 2 6 0132 0132 1230 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.637107976194 1.015154161032 7 0 8 1 0132 0132 0132 3012 0 0 1 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 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 0.642689358843 0.484837978916 6 4 9 0 1230 3012 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 0.192535654038 1.785095210177 3 8 0 10 1230 1023 0132 0132 0 1 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 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 0.793596881749 0.874569375992 7 1 10 9 1023 0132 3201 0321 0 1 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 0 0 0 0 0 0 0 0 0 1 -1 -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 0.919055317167 0.888749956207 11 3 1 7 0132 3012 0132 1302 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 0 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.223173725354 0.570129955836 2 5 6 10 0132 1023 2031 2031 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 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 0.479164194230 0.712195535685 4 8 8 2 1023 3201 2310 0132 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 -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 0 0 0 0.511258772056 0.556477351556 11 5 11 3 1302 0321 0132 0132 0 1 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431742514305 0.790844941921 5 7 4 11 2310 1302 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 0.847687668048 0.508827025172 6 9 10 9 0132 2031 0132 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 0 0 0 0 0 0 0 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431742514305 0.790844941921 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_3']), 'c_1001_10' : d['c_0101_2'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_8'], 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_8'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0101_8']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_3']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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_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' : 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_1100_8' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_0101_7'], 'c_1100_1' : d['c_0101_7'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_4'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0101_8'], 'c_1010_9' : negation(d['c_0011_4']), 'c_1010_8' : d['c_0101_8'], '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' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], '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_10']), 'c_0011_8' : d['c_0011_4'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), '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' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : d['c_0101_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_11']), 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_11']), 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_7, c_0101_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 28166760893819/121696446432*c_1100_0^9 - 7139529631813/30424111608*c_1100_0^8 + 54729869035733/121696446432*c_1100_0^7 + 758480448573883/121696446432*c_1100_0^6 - 32810213243117/30424111608*c_1100_0^5 - 590486808918913/60848223216*c_1100_0^4 + 301341442690531/121696446432*c_1100_0^3 + 1710361716450557/121696446432*c_1100_0^2 - 628276029461141/60848223216*c_1100_0 + 14874045836555/7606027902, c_0011_0 - 1, c_0011_10 + 52237/70188*c_1100_0^9 + 10103/35094*c_1100_0^8 - 49881/23396*c_1100_0^7 - 455713/23396*c_1100_0^6 + 570899/35094*c_1100_0^5 + 408483/11698*c_1100_0^4 - 587583/23396*c_1100_0^3 - 3394573/70188*c_1100_0^2 + 346541/5849*c_1100_0 - 84766/5849, c_0011_11 + 1, c_0011_3 + 153359/70188*c_1100_0^9 + 13489/17547*c_1100_0^8 - 443005/70188*c_1100_0^7 - 1330949/23396*c_1100_0^6 + 876995/17547*c_1100_0^5 + 3560581/35094*c_1100_0^4 - 1866201/23396*c_1100_0^3 - 9942605/70188*c_1100_0^2 + 6357467/35094*c_1100_0 - 272634/5849, c_0011_4 + 83575/140376*c_1100_0^9 + 5625/23396*c_1100_0^8 - 240721/140376*c_1100_0^7 - 729011/46792*c_1100_0^6 + 902339/70188*c_1100_0^5 + 2001739/70188*c_1100_0^4 - 968621/46792*c_1100_0^3 - 5582947/140376*c_1100_0^2 + 845831/17547*c_1100_0 - 135227/11698, c_0101_1 + 1, c_0101_11 - 90615/46792*c_1100_0^9 - 52237/70188*c_1100_0^8 + 775123/140376*c_1100_0^7 + 2365137/46792*c_1100_0^6 - 994127/23396*c_1100_0^5 - 6306853/70188*c_1100_0^4 + 3168663/46792*c_1100_0^3 + 5796531/46792*c_1100_0^2 - 2753303/17547*c_1100_0 + 484913/11698, c_0101_2 + 20632/17547*c_1100_0^9 + 15941/35094*c_1100_0^8 - 58826/17547*c_1100_0^7 - 1079239/35094*c_1100_0^6 + 900323/35094*c_1100_0^5 + 319161/5849*c_1100_0^4 - 704249/17547*c_1100_0^3 - 2677667/35094*c_1100_0^2 + 1108381/11698*c_1100_0 - 427609/17547, c_0101_3 + 24337/140376*c_1100_0^9 + 197/70188*c_1100_0^8 - 77023/140376*c_1100_0^7 - 611983/140376*c_1100_0^6 + 391181/70188*c_1100_0^5 + 175895/23396*c_1100_0^4 - 1336729/140376*c_1100_0^3 - 1499293/140376*c_1100_0^2 + 109978/5849*c_1100_0 - 207755/35094, c_0101_7 - 390293/140376*c_1100_0^9 - 70831/70188*c_1100_0^8 + 375577/46792*c_1100_0^7 + 3390909/46792*c_1100_0^6 - 4410319/70188*c_1100_0^5 - 3040967/23396*c_1100_0^4 + 4701023/46792*c_1100_0^3 + 25468157/140376*c_1100_0^2 - 2683043/11698*c_1100_0 + 680495/11698, c_0101_8 - c_1100_0 + 1, c_1100_0^10 - 3*c_1100_0^8 - 25*c_1100_0^7 + 32*c_1100_0^6 + 38*c_1100_0^5 - 53*c_1100_0^4 - 51*c_1100_0^3 + 106*c_1100_0^2 - 52*c_1100_0 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB