Magma V2.19-8 Tue Aug 20 2013 23:42:26 on localhost [Seed = 2867646401] Type ? for help. Type -D to quit. Loading file "L13n3069__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3069 geometric_solution 10.10265286 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 1 3 0132 0132 3120 0132 1 0 1 1 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 -1 0 1 -1 0 0 1 0 0 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.288212865032 1.270363927362 0 4 0 5 0132 0132 3120 0132 1 0 1 1 0 1 -1 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 -7 7 0 1 0 0 -1 -7 -1 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.288212865032 1.270363927362 6 0 8 7 0132 0132 0132 0132 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 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 0.561651229241 1.669458422811 5 6 0 5 0132 2310 0132 2103 1 0 1 1 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 0 0 0 0 0 0 -1 1 1 0 -1 0 -8 8 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.830152415647 0.748641960473 6 1 9 8 1023 0132 0132 3201 1 1 1 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 7 -7 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 0.298535832576 0.494331903410 3 8 1 3 0132 1023 0132 2103 1 0 1 1 0 0 0 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 -1 0 1 0 1 0 0 -1 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.830152415647 0.748641960473 2 4 10 3 0132 1023 0132 3201 1 1 1 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 0 0 0 0 0 0 0 0 1 -1 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 0.147134374296 0.560363657524 10 9 2 10 1302 3012 0132 3120 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 1 -1 1 0 0 -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 -0.116402548659 0.714926955837 5 4 9 2 1023 2310 3012 0132 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 0.952537911911 0.671267187880 7 8 10 4 1230 1230 1023 0132 1 1 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 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586627653167 0.955829802792 7 7 9 6 3120 2031 1023 0132 1 1 1 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 0 0 0 0 0 0 0 1 0 -1 1 0 7 -8 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.221858549659 1.362621861470 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0101_8'], 'c_1001_7' : negation(d['c_0011_9']), 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : d['c_0011_9'], 'c_1001_0' : negation(d['c_0011_9']), 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0110_4']), 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_10' : d['c_0011_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0011_3']), 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0011_9'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0011_9']), 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0110_4']), 'c_1010_9' : d['c_0101_8'], 'c_1010_8' : negation(d['c_0110_4']), 'c_1100_8' : negation(d['c_0101_10']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_10' : negation(d['c_0011_10']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_7'], 'c_0101_3' : d['c_0101_1'], '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_0011_10'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], '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' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_8, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 37893727/959182*c_0110_4^7 - 61275973/479591*c_0110_4^6 - 160320155/479591*c_0110_4^5 - 384788536/479591*c_0110_4^4 - 304277919/959182*c_0110_4^3 - 149930082/479591*c_0110_4^2 + 112840129/137026*c_0110_4 - 410867019/959182, c_0011_0 - 1, c_0011_10 + 217/137026*c_0110_4^7 + 2503/137026*c_0110_4^6 + 17773/137026*c_0110_4^5 + 53577/137026*c_0110_4^4 + 56525/68513*c_0110_4^3 + 70588/68513*c_0110_4^2 + 70321/137026*c_0110_4 - 17470/68513, c_0011_3 - 1649/137026*c_0110_4^7 - 4497/137026*c_0110_4^6 - 11293/137026*c_0110_4^5 - 29525/137026*c_0110_4^4 - 20670/68513*c_0110_4^3 - 17031/68513*c_0110_4^2 + 2363/137026*c_0110_4 + 33933/68513, c_0011_7 - 1642/68513*c_0110_4^7 - 19883/137026*c_0110_4^6 - 59011/137026*c_0110_4^5 - 137367/137026*c_0110_4^4 - 179261/137026*c_0110_4^3 - 53819/68513*c_0110_4^2 + 17892/68513*c_0110_4 + 69385/137026, c_0011_9 + 1649/137026*c_0110_4^7 + 4497/137026*c_0110_4^6 + 11293/137026*c_0110_4^5 + 29525/137026*c_0110_4^4 + 20670/68513*c_0110_4^3 + 17031/68513*c_0110_4^2 - 2363/137026*c_0110_4 - 33933/68513, c_0101_0 - 1, c_0101_1 + 1308/68513*c_0110_4^7 + 10915/137026*c_0110_4^6 + 35241/137026*c_0110_4^5 + 76629/137026*c_0110_4^4 + 69945/137026*c_0110_4^3 + 17753/68513*c_0110_4^2 - 122655/68513*c_0110_4 - 16133/137026, c_0101_10 - 1642/68513*c_0110_4^7 - 19883/137026*c_0110_4^6 - 59011/137026*c_0110_4^5 - 137367/137026*c_0110_4^4 - 179261/137026*c_0110_4^3 - 53819/68513*c_0110_4^2 + 17892/68513*c_0110_4 + 69385/137026, c_0101_2 - 1, c_0101_8 + 2324/68513*c_0110_4^7 + 16041/137026*c_0110_4^6 + 33701/137026*c_0110_4^5 + 102209/137026*c_0110_4^4 + 67705/137026*c_0110_4^3 + 17924/68513*c_0110_4^2 - 51360/68513*c_0110_4 - 34531/137026, c_0110_4^8 + 4*c_0110_4^7 + 11*c_0110_4^6 + 27*c_0110_4^5 + 24*c_0110_4^4 + 15*c_0110_4^3 - 15*c_0110_4^2 - 7*c_0110_4 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB