Magma V2.19-8 Tue Aug 20 2013 23:56:45 on localhost [Seed = 3651121628] Type ? for help. Type -D to quit. Loading file "L14n24649__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24649 geometric_solution 10.72985423 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 1 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 1 0 -1 -1 0 -8 9 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.770187398579 0.833725926230 0 4 2 5 0132 2103 0321 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 1 -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 0.680951912903 0.188781735167 5 0 1 6 3201 0132 0321 0132 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 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 0.307271938947 1.114736878304 5 7 6 0 0132 0132 3201 0132 0 1 0 1 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 -8 8 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359621269255 0.605260071795 6 1 0 8 3201 2103 0132 0132 0 1 0 1 0 0 0 0 0 0 1 -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 1 -1 0 0 -9 9 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.358921725152 1.267272834326 3 9 1 2 0132 0132 0132 2310 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 0 0 0 0 0.793105464184 0.730498619717 3 10 2 4 2310 0132 0132 2310 0 1 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 -1 0 0 1 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.274470328708 1.221101693584 10 3 10 9 2310 0132 0132 0132 0 1 1 0 0 -1 0 1 -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 8 0 -8 0 8 1 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.410036592036 0.604272350156 11 11 4 10 0132 2310 0132 2310 0 1 1 0 0 0 0 0 -1 0 1 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 -1 1 0 9 0 -9 0 9 -9 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356236533737 0.533013055705 11 5 7 11 2103 0132 0132 0321 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.921591752376 0.763044909798 8 6 7 7 3201 0132 3201 0132 0 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 0 0 0 0 -8 8 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.827203925502 0.847266887020 8 9 9 8 0132 0321 2103 3201 0 1 0 1 0 -1 1 0 1 0 0 -1 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 -9 0 0 9 -1 0 0 1 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.866739981536 1.296845444832 ==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_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_6']), 'c_1001_8' : negation(d['c_1001_5']), 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_1001_0'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_10']), 'c_0101_10' : d['c_0101_10'], '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_1100_9' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_10'], 'c_1100_3' : d['c_0011_10'], 'c_1100_2' : d['c_0011_4'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0011_3'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_6']), 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_1001_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : negation(d['c_0101_7']), 'c_1100_8' : d['c_0011_10'], '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' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_7'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : negation(d['c_0101_10']), '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_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : negation(d['c_0101_10']), 'c_0110_6' : negation(d['c_0101_1'])})} 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_0, c_0101_1, c_0101_10, c_0101_6, c_0101_7, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 413564517311/173390162432*c_1001_5^8 + 8225746360213/173390162432*c_1001_5^7 + 4113887925831/173390162432*c_1001_5^6 + 12564961459235/86695081216*c_1001_5^5 - 3245705524705/173390162432*c_1001_5^4 - 6728254816829/86695081216*c_1001_5^3 + 745941093893/21673770304*c_1001_5^2 - 80258760926501/173390162432*c_1001_5 + 62567174607599/173390162432, c_0011_0 - 1, c_0011_10 + 7375373/528628544*c_1001_5^8 + 77152201/264314272*c_1001_5^7 + 227533891/528628544*c_1001_5^6 + 579852127/528628544*c_1001_5^5 + 217938599/264314272*c_1001_5^4 + 1405325/132157136*c_1001_5^3 + 30476137/132157136*c_1001_5^2 - 975921219/528628544*c_1001_5 + 8720321/33039284, c_0011_11 - 1799799/264314272*c_1001_5^8 - 76383987/528628544*c_1001_5^7 - 16463979/66078568*c_1001_5^6 - 285533827/528628544*c_1001_5^5 - 387850817/528628544*c_1001_5^4 + 36559495/264314272*c_1001_5^3 - 2349677/132157136*c_1001_5^2 + 221131923/264314272*c_1001_5 + 377332393/528628544, c_0011_3 + 4876459/2114514176*c_1001_5^8 + 83759245/2114514176*c_1001_5^7 - 229710885/2114514176*c_1001_5^6 - 57427979/1057257088*c_1001_5^5 - 587953625/2114514176*c_1001_5^4 - 197352709/1057257088*c_1001_5^3 + 91068091/264314272*c_1001_5^2 + 370641479/2114514176*c_1001_5 + 1226955119/2114514176, c_0011_4 + 54899/5478016*c_1001_5^8 + 1126801/5478016*c_1001_5^7 + 1191803/5478016*c_1001_5^6 + 1349111/2739008*c_1001_5^5 + 662227/5478016*c_1001_5^4 - 1375561/2739008*c_1001_5^3 + 82613/684752*c_1001_5^2 - 7981249/5478016*c_1001_5 + 4126275/5478016, c_0101_0 - 54899/5478016*c_1001_5^8 - 1126801/5478016*c_1001_5^7 - 1191803/5478016*c_1001_5^6 - 1349111/2739008*c_1001_5^5 - 662227/5478016*c_1001_5^4 + 1375561/2739008*c_1001_5^3 - 82613/684752*c_1001_5^2 + 7981249/5478016*c_1001_5 - 4126275/5478016, c_0101_1 - 1, c_0101_10 + 251693/2114514176*c_1001_5^8 + 812071/2114514176*c_1001_5^7 - 97829771/2114514176*c_1001_5^6 - 186535955/1057257088*c_1001_5^5 - 614816555/2114514176*c_1001_5^4 - 441557983/1057257088*c_1001_5^3 - 158882029/264314272*c_1001_5^2 + 744872417/2114514176*c_1001_5 + 706516629/2114514176, c_0101_6 - 7375373/528628544*c_1001_5^8 - 77152201/264314272*c_1001_5^7 - 227533891/528628544*c_1001_5^6 - 579852127/528628544*c_1001_5^5 - 217938599/264314272*c_1001_5^4 - 1405325/132157136*c_1001_5^3 - 30476137/132157136*c_1001_5^2 + 975921219/528628544*c_1001_5 - 8720321/33039284, c_0101_7 - 4876459/2114514176*c_1001_5^8 - 83759245/2114514176*c_1001_5^7 + 229710885/2114514176*c_1001_5^6 + 57427979/1057257088*c_1001_5^5 + 587953625/2114514176*c_1001_5^4 + 197352709/1057257088*c_1001_5^3 - 91068091/264314272*c_1001_5^2 - 370641479/2114514176*c_1001_5 - 1226955119/2114514176, c_1001_0 - 4155239/1057257088*c_1001_5^8 - 91136211/1057257088*c_1001_5^7 - 225049803/1057257088*c_1001_5^6 - 39934213/66078568*c_1001_5^5 - 743944585/1057257088*c_1001_5^4 - 271104573/528628544*c_1001_5^3 - 3632957/33039284*c_1001_5^2 + 411461381/1057257088*c_1001_5 + 517320803/1057257088, c_1001_5^9 + 20*c_1001_5^8 + 12*c_1001_5^7 + 59*c_1001_5^6 - 5*c_1001_5^5 - 45*c_1001_5^4 + 2*c_1001_5^3 - 195*c_1001_5^2 + 126*c_1001_5 + 41 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB