Magma V2.19-8 Wed Aug 21 2013 00:52:44 on localhost [Seed = 4273531722] Type ? for help. Type -D to quit. Loading file "L12n1067__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1067 geometric_solution 11.71766000 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 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 -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 0.775126528811 1.155719833772 0 5 6 4 0132 0132 0132 3120 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 -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 0.758311444273 0.572990200451 5 0 7 3 3120 0132 0132 1230 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 1 0 0 -1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551174891681 0.830573798176 2 8 9 0 3012 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 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 0.745856553386 0.859401081248 1 10 0 7 3120 0132 0132 3012 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 -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 -0.109169034470 0.664744054505 6 1 10 2 1302 0132 2103 3120 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 1 0 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 0.707214549847 0.482547198439 11 5 11 1 0132 2031 3120 0132 0 1 0 0 0 0 0 0 -1 0 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 0 0 0 -7 0 6 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 0.019807287198 0.866848039363 9 12 4 2 1230 0132 1230 0132 1 0 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 -1 1 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 0.892702842445 0.793064681645 11 3 9 10 1230 0132 1302 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.286152044138 0.547772010357 8 7 12 3 2031 3012 2031 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.624681879284 0.990904186103 5 4 8 12 2103 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.400119743270 1.341909141281 6 8 6 12 0132 3012 3120 1230 0 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 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 0.019807287198 0.866848039363 11 7 10 9 3012 0132 0132 1302 1 0 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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.490561025784 1.261549725621 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : negation(d['c_0101_7']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_12'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : d['c_1001_12'], 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_0101_3'], 'c_1010_12' : d['c_1001_7'], 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : d['c_1001_12'], 's_3_11' : d['1'], 's_3_10' : 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_1'], 'c_0101_10' : d['c_0011_11'], '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' : 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' : 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' : negation(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_7']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_9']), 'c_1100_4' : negation(d['c_1001_7']), 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_1001_7']), 'c_1100_3' : negation(d['c_1001_7']), 'c_1100_2' : d['c_0101_0'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : d['c_0101_9'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_1001_12'], 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : negation(d['c_0101_7']), 'c_1100_8' : d['c_0101_9'], '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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_9'], '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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), '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_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' : d['c_0011_12'], 'c_0110_10' : d['c_0011_9'], 'c_0110_12' : negation(d['c_0011_12']), 'c_0101_12' : d['c_0011_9'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_12'], 'c_0101_5' : d['c_0011_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_9'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_9']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_11'], '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_3'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0011_9'], '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_11, c_0011_12, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_7, c_0101_9, c_1001_12, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 252529457/1041927718*c_1001_7^8 - 2191288829/1041927718*c_1001_7^7 + 7986435723/1041927718*c_1001_7^6 - 7137335198/520963859*c_1001_7^5 + 15465542043/1041927718*c_1001_7^4 - 12871802363/1041927718*c_1001_7^3 + 3233012382/520963859*c_1001_7^2 - 1054571387/1041927718*c_1001_7 + 33358215/1041927718, c_0011_0 - 1, c_0011_10 + 20422/49947*c_1001_7^8 - 168799/49947*c_1001_7^7 + 583982/49947*c_1001_7^6 - 982990/49947*c_1001_7^5 + 369318/16649*c_1001_7^4 - 1071845/49947*c_1001_7^3 + 191038/16649*c_1001_7^2 - 43324/16649*c_1001_7 - 75266/49947, c_0011_11 - 48266/49947*c_1001_7^8 + 394973/49947*c_1001_7^7 - 1374229/49947*c_1001_7^6 + 2406698/49947*c_1001_7^5 - 1003097/16649*c_1001_7^4 + 3031861/49947*c_1001_7^3 - 600050/16649*c_1001_7^2 + 258965/16649*c_1001_7 + 33817/49947, c_0011_12 - 4618/16649*c_1001_7^8 + 35524/16649*c_1001_7^7 - 114974/16649*c_1001_7^6 + 180460/16649*c_1001_7^5 - 218783/16649*c_1001_7^4 + 206548/16649*c_1001_7^3 - 93032/16649*c_1001_7^2 + 40137/16649*c_1001_7 + 13074/16649, c_0011_3 - 32032/49947*c_1001_7^8 + 260164/49947*c_1001_7^7 - 895532/49947*c_1001_7^6 + 1542739/49947*c_1001_7^5 - 638764/16649*c_1001_7^4 + 1936598/49947*c_1001_7^3 - 368102/16649*c_1001_7^2 + 172441/16649*c_1001_7 + 19922/49947, c_0011_9 + 20558/49947*c_1001_7^8 - 181829/49947*c_1001_7^7 + 684385/49947*c_1001_7^6 - 1323938/49947*c_1001_7^5 + 565531/16649*c_1001_7^4 - 1792573/49947*c_1001_7^3 + 413986/16649*c_1001_7^2 - 178691/16649*c_1001_7 + 94574/49947, c_0101_0 - 1, c_0101_1 - 1912/49947*c_1001_7^8 + 9841/49947*c_1001_7^7 - 10094/49947*c_1001_7^6 - 39779/49947*c_1001_7^5 + 18921/16649*c_1001_7^4 - 44848/49947*c_1001_7^3 + 41655/16649*c_1001_7^2 - 16431/16649*c_1001_7 + 39086/49947, c_0101_3 + 12740/49947*c_1001_7^8 - 101204/49947*c_1001_7^7 + 331204/49947*c_1001_7^6 - 507452/49947*c_1001_7^5 + 183674/16649*c_1001_7^4 - 571585/49947*c_1001_7^3 + 85484/16649*c_1001_7^2 - 21097/16649*c_1001_7 - 11329/49947, c_0101_7 + 1, c_0101_9 + 5423/49947*c_1001_7^8 - 32588/49947*c_1001_7^7 + 64000/49947*c_1001_7^6 + 15256/49947*c_1001_7^5 - 23929/16649*c_1001_7^4 + 80390/49947*c_1001_7^3 - 58786/16649*c_1001_7^2 + 15247/16649*c_1001_7 - 20422/49947, c_1001_12 + 3511/49947*c_1001_7^8 - 22747/49947*c_1001_7^7 + 53906/49947*c_1001_7^6 - 24523/49947*c_1001_7^5 - 5008/16649*c_1001_7^4 + 35542/49947*c_1001_7^3 - 17131/16649*c_1001_7^2 + 15465/16649*c_1001_7 + 18664/49947, c_1001_7^9 - 8*c_1001_7^8 + 27*c_1001_7^7 - 45*c_1001_7^6 + 55*c_1001_7^5 - 56*c_1001_7^4 + 32*c_1001_7^3 - 15*c_1001_7^2 + c_1001_7 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.400 seconds, Total memory usage: 32.09MB