Magma V2.19-8 Wed Aug 21 2013 01:02:10 on localhost [Seed = 3465074033] Type ? for help. Type -D to quit. Loading file "L14n14072__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n14072 geometric_solution 11.85143333 oriented_manifold CS_known 0.0000000000000000 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 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 1 0 -1 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 0.230410950908 1.272100037111 0 5 7 6 0132 0132 0132 0132 0 1 1 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 0 0 1 -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 0.395387557512 0.347918337573 8 0 5 9 0132 0132 1230 0132 1 0 1 0 0 0 0 0 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 0 -1 0 1 0 0 0 0 -7 1 0 6 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409114624229 1.066187267416 6 5 9 0 0132 1230 2031 0132 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 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 0.664878274568 0.801010408138 6 10 0 11 3120 0132 0132 0132 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 -1 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 0.049004357432 0.993258570668 11 1 3 2 0132 0132 3012 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643750348690 1.060790253690 3 12 1 4 0132 0132 0132 3120 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 0 0 0 0 0 0 0 -1 0 1 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 1.478012892377 0.568883259486 12 8 10 1 0132 2310 3120 0132 0 1 0 1 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 7 0 -6 -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 0.771753340816 0.657766156719 2 11 12 7 0132 0132 2031 3201 1 0 0 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 1 -1 0 0 0 0 0 -1 1 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.938653240603 0.961557457817 10 11 2 3 3201 1302 0132 1302 1 0 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 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773241499603 1.007094483085 12 4 7 9 2103 0132 3120 2310 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 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301426899492 0.458072658243 5 8 4 9 0132 0132 0132 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 1 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 0.320175479994 0.701733358301 7 6 10 8 0132 0132 2103 1302 0 1 1 0 0 0 0 0 -1 0 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 -7 0 0 7 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339741185373 0.508636313245 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : negation(d['c_0011_12']), 'c_1001_4' : negation(d['c_0110_9']), 'c_1001_7' : negation(d['c_1001_10']), 'c_1001_6' : negation(d['c_0011_12']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : negation(d['c_0110_9']), 'c_1001_2' : negation(d['c_0110_9']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0011_9'], 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : negation(d['c_0110_9']), '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' : d['c_0101_11'], 'c_0101_10' : d['c_0101_1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_8' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_9'], 'c_1100_4' : negation(d['c_1010_9']), 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_1010_9']), 'c_1100_3' : negation(d['c_1010_9']), 'c_1100_2' : d['c_0101_11'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1010_9']), 'c_1100_10' : d['c_0011_9'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0011_12']), 'c_1010_0' : negation(d['c_0110_9']), 'c_1010_9' : d['c_1010_9'], 'c_1010_8' : d['c_1001_10'], 'c_1100_8' : d['c_0011_12'], 's_3_1' : d['1'], 's_3_0' : negation(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_0101_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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_12']), '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_5'], 'c_0110_10' : negation(d['c_0101_8']), 'c_0110_12' : negation(d['c_0011_9']), 'c_0101_12' : d['c_0101_1'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_9']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], '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_2'], '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_0101_8'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_11']})} 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_9, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_5, c_0101_8, c_0110_9, c_1001_10, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 31016237/2064400*c_1010_9^6 + 112701591/2064400*c_1010_9^5 - 7894611/129025*c_1010_9^4 + 154246503/2064400*c_1010_9^3 + 63053813/2064400*c_1010_9^2 + 5167477/2064400*c_1010_9 - 534319/2064400, c_0011_0 - 1, c_0011_10 + 2359763/79400*c_1010_9^6 - 8777309/79400*c_1010_9^5 + 1365603/9925*c_1010_9^4 - 15423097/79400*c_1010_9^3 + 2152513/79400*c_1010_9^2 - 6985923/79400*c_1010_9 - 738419/79400, c_0011_12 - 686693/79400*c_1010_9^6 + 2497099/79400*c_1010_9^5 - 368758/9925*c_1010_9^4 + 4175167/79400*c_1010_9^3 - 243743/79400*c_1010_9^2 + 1958453/79400*c_1010_9 + 337109/79400, c_0011_9 - 92253/39700*c_1010_9^6 + 344079/39700*c_1010_9^5 - 105586/9925*c_1010_9^4 + 570607/39700*c_1010_9^3 - 35403/39700*c_1010_9^2 + 239413/39700*c_1010_9 + 37189/39700, c_0101_0 - 1, c_0101_1 - 98819/39700*c_1010_9^6 + 326817/39700*c_1010_9^5 - 77003/9925*c_1010_9^4 + 476461/39700*c_1010_9^3 + 139331/39700*c_1010_9^2 + 287399/39700*c_1010_9 + 133147/39700, c_0101_11 + 179081/39700*c_1010_9^6 - 625983/39700*c_1010_9^5 + 171122/9925*c_1010_9^4 - 992439/39700*c_1010_9^3 - 98869/39700*c_1010_9^2 - 506601/39700*c_1010_9 - 184453/39700, c_0101_2 + 1009701/79400*c_1010_9^6 - 3813043/79400*c_1010_9^5 + 610206/9925*c_1010_9^4 - 6818919/79400*c_1010_9^3 + 1217351/79400*c_1010_9^2 - 2942021/79400*c_1010_9 - 187013/79400, c_0101_5 + 56217/79400*c_1010_9^6 - 215431/79400*c_1010_9^5 + 32677/9925*c_1010_9^4 - 337323/79400*c_1010_9^3 + 99067/79400*c_1010_9^2 - 145857/79400*c_1010_9 + 36079/79400, c_0101_8 + 179571/19850*c_1010_9^6 - 655803/19850*c_1010_9^5 + 395454/9925*c_1010_9^4 - 1137399/19850*c_1010_9^3 + 104071/19850*c_1010_9^2 - 533291/19850*c_1010_9 - 95623/19850, c_0110_9 + 10983/15880*c_1010_9^6 - 31209/15880*c_1010_9^5 + 1763/1985*c_1010_9^4 - 24117/15880*c_1010_9^3 - 55027/15880*c_1010_9^2 - 9543/15880*c_1010_9 - 33639/15880, c_1001_10 - 120043/79400*c_1010_9^6 + 467149/79400*c_1010_9^5 - 80583/9925*c_1010_9^4 + 939817/79400*c_1010_9^3 - 380793/79400*c_1010_9^2 + 505403/79400*c_1010_9 - 77941/79400, c_1010_9^7 - 24/7*c_1010_9^6 + 25/7*c_1010_9^5 - 37/7*c_1010_9^4 - 6/7*c_1010_9^3 - 20/7*c_1010_9^2 - 8/7*c_1010_9 - 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.330 Total time: 0.540 seconds, Total memory usage: 32.09MB