Magma V2.19-8 Wed Aug 21 2013 00:59:47 on localhost [Seed = 1646557532] Type ? for help. Type -D to quit. Loading file "L13n7744__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n7744 geometric_solution 11.77153084 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 1 2 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 1 -1 -1 0 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 0.281497184334 0.983225327654 0 5 7 6 0132 0132 0132 0132 1 1 0 2 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 1 0 -1 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 0.484499871490 0.663007206802 8 0 9 6 0132 0132 0132 2031 2 1 0 2 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 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.730875211451 0.940010497892 8 5 6 0 2031 1230 2031 0132 2 1 0 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 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 0.281497184334 0.983225327654 8 10 0 9 3012 0132 0132 0132 2 1 1 2 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 6 1 -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 0.650558838565 1.374060742826 11 1 3 12 0132 0132 3012 0132 1 2 2 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 -1 0 1 0 0 -1 1 -7 0 0 7 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.730875211451 0.940010497892 11 2 1 3 3012 1302 0132 1302 1 1 2 0 0 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 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 0.484499871490 0.663007206802 11 10 12 1 2031 1302 2031 0132 1 1 2 2 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 0 0 0 0 0 -1 1 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718527512886 0.594504711644 2 11 3 4 0132 0132 1302 1230 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.484499871490 0.663007206802 10 12 4 2 0321 3012 0132 0132 2 1 2 1 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 -7 7 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 0.324285436260 0.302610484831 9 4 12 7 0321 0132 3012 2031 2 1 2 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 -6 0 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 0 0 0 0.310729651880 0.213022252808 5 8 7 6 0132 0132 1302 1230 1 2 0 2 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 7 -1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.281497184334 0.983225327654 9 10 5 7 1230 1230 0132 1302 1 2 1 2 0 0 0 0 0 0 0 0 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 0 -1 1 1 0 -1 0 0 0 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.324285436260 0.302610484831 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_1'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_7'], 'c_1001_7' : negation(d['c_0011_9']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : d['c_0011_7'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : d['c_0101_0'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_0101_0'], 'c_1010_10' : d['c_0011_7'], 's_3_11' : 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' : negation(d['c_0011_7']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(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' : 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_0011_11' : negation(d['c_0011_0']), 'c_1100_8' : negation(d['c_0101_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : negation(d['c_1010_6']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : negation(d['c_1010_6']), 'c_1100_3' : negation(d['c_1010_6']), 'c_1100_2' : negation(d['c_1010_6']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_1010_6']), 'c_1100_11' : d['c_0101_7'], 'c_1100_10' : negation(d['c_1001_1']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_12']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_7'], 'c_1010_9' : d['c_0011_7'], 'c_1010_8' : d['c_0101_1'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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'], 'c_1100_12' : d['c_0101_7'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(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' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], '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_6'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0011_9'], 'c_0101_12' : negation(d['c_0011_7']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : negation(d['c_0011_10']), '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' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_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' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : negation(d['c_0101_10']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_7']})} 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_3, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_1001_1, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 6272512/893*c_1010_6^7 + 6193124/893*c_1010_6^6 + 11477604/893*c_1010_6^5 + 6530689/893*c_1010_6^4 + 9957910/893*c_1010_6^3 + 6668451/1786*c_1010_6^2 + 22813191/3572*c_1010_6 + 29149033/14288, c_0011_0 - 1, c_0011_10 + 1376/893*c_1010_6^7 + 3264/893*c_1010_6^6 + 3208/893*c_1010_6^5 + 3096/893*c_1010_6^4 + 2224/893*c_1010_6^3 + 1826/893*c_1010_6^2 + 2057/1786*c_1010_6 + 1333/1786, c_0011_12 - 7552/893*c_1010_6^7 - 5952/893*c_1010_6^6 - 9632/893*c_1010_6^5 - 2704/893*c_1010_6^4 - 8468/893*c_1010_6^3 - 1964/893*c_1010_6^2 - 3215/893*c_1010_6 - 86/893, c_0011_3 - 1376/893*c_1010_6^7 - 3264/893*c_1010_6^6 - 3208/893*c_1010_6^5 - 3096/893*c_1010_6^4 - 2224/893*c_1010_6^3 - 3612/893*c_1010_6^2 - 2057/1786*c_1010_6 - 1333/1786, c_0011_6 + 7248/893*c_1010_6^7 + 6560/893*c_1010_6^6 + 7428/893*c_1010_6^5 + 2020/893*c_1010_6^4 + 6606/893*c_1010_6^3 + 2059/893*c_1010_6^2 + 4101/3572*c_1010_6 - 245/3572, c_0011_7 - 7248/893*c_1010_6^7 - 6560/893*c_1010_6^6 - 7428/893*c_1010_6^5 - 2020/893*c_1010_6^4 - 6606/893*c_1010_6^3 - 2059/893*c_1010_6^2 - 7673/3572*c_1010_6 + 245/3572, c_0011_9 + 7552/893*c_1010_6^7 + 5952/893*c_1010_6^6 + 9632/893*c_1010_6^5 + 2704/893*c_1010_6^4 + 8468/893*c_1010_6^3 + 1964/893*c_1010_6^2 + 3215/893*c_1010_6 + 86/893, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 2752/893*c_1010_6^7 - 6528/893*c_1010_6^6 - 6416/893*c_1010_6^5 - 6192/893*c_1010_6^4 - 4448/893*c_1010_6^3 - 5438/893*c_1010_6^2 - 2057/893*c_1010_6 - 1333/893, c_0101_7 - c_1010_6, c_1001_1 - 1376/893*c_1010_6^7 - 3264/893*c_1010_6^6 - 3208/893*c_1010_6^5 - 3096/893*c_1010_6^4 - 2224/893*c_1010_6^3 - 1826/893*c_1010_6^2 - 2057/1786*c_1010_6 - 1333/1786, c_1010_6^8 + c_1010_6^7 + 5/4*c_1010_6^6 + 1/2*c_1010_6^5 + 9/8*c_1010_6^4 + 7/16*c_1010_6^3 + 25/64*c_1010_6^2 + 1/16*c_1010_6 - 1/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB