Magma V2.19-8 Wed Aug 21 2013 00:59:37 on localhost [Seed = 256447561] Type ? for help. Type -D to quit. Loading file "L13n7337__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n7337 geometric_solution 11.67995752 oriented_manifold CS_known -0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 0213 1 2 0 2 0 -1 0 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 -2 1 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 0.789342142244 0.706645667717 0 4 5 5 0132 0132 1302 0132 2 2 2 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 0.789342142244 0.706645667717 6 0 7 0 0132 0132 0132 0213 1 0 2 0 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 2 -1 -1 1 0 0 -1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.789342142244 0.706645667717 5 7 7 0 3012 0132 0321 0132 1 2 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 1 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 0 0 0 0.296742934345 0.629579408143 8 1 9 10 0132 0132 0132 0132 2 2 0 2 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 0 0 3 0 -4 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 0.431775661619 0.657822248400 1 11 1 3 2031 0132 0132 1230 2 2 0 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 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 0.296742934345 0.629579408143 2 12 11 10 0132 0132 1302 1230 2 0 0 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 1 -1 -1 0 1 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 0.616098155753 0.359608695274 10 3 3 2 1230 0132 0321 0132 1 0 0 2 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 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 0.296742934345 0.629579408143 4 12 10 9 0132 1023 0132 0132 2 2 2 0 0 0 0 0 1 0 0 -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 0 0 0 -3 0 0 3 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.263536580473 0.804953806044 12 11 8 4 3120 0321 0132 0132 2 2 2 2 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 -1 0 -3 4 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.051425939671 2.034177159054 6 7 4 8 3012 3012 0132 0132 2 2 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 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 -0.210657857756 0.706645667717 6 5 12 9 2031 0132 1023 0321 2 2 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 -1 1 0 -1 0 0 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 0.752008421615 0.870585501727 8 6 11 9 1023 0132 1023 3120 2 2 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 -1 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 1.367348462959 1.122039843092 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_0011_3'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_4'], 'c_1001_8' : d['c_0101_12'], 'c_1010_12' : negation(d['c_0011_9']), 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_0101_12'], 's_0_10' : d['1'], 's_0_11' : negation(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_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : negation(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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_1100_10'], 'c_1100_7' : d['c_1001_2'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_2'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_10'], 'c_1100_11' : d['c_0101_4'], 'c_1100_10' : d['c_1100_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_0101_12'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_0101_4'], 'c_1100_8' : d['c_1100_10'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_4']), 's_1_7' : d['1'], 's_1_6' : 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' : 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_0']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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_11' : negation(d['c_0011_9']), 'c_0110_10' : d['c_0101_10'], 'c_0110_12' : d['c_0101_4'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0101_12']), 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0011_11'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_4'], 'c_0101_8' : d['c_0101_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0011_10']})} 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_3, c_0011_9, c_0101_0, c_0101_10, c_0101_12, c_0101_4, c_1001_0, c_1001_2, c_1001_4, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 276654087/6573357056*c_1100_10^7 - 5061459523/19720071168*c_1100_10^6 - 13039963889/78880284672*c_1100_10^5 - 42617679283/78880284672*c_1100_10^4 + 50747903069/78880284672*c_1100_10^3 + 7791794491/19720071168*c_1100_10^2 - 17722123721/78880284672*c_1100_10 + 20407153019/78880284672, c_0011_0 - 1, c_0011_10 + 403468/589527*c_1100_10^7 + 912484/196509*c_1100_10^6 + 1412573/196509*c_1100_10^5 + 12911879/589527*c_1100_10^4 + 2100479/196509*c_1100_10^3 + 10431499/589527*c_1100_10^2 + 220688/196509*c_1100_10 + 1320028/589527, c_0011_11 + 1928524/9628941*c_1100_10^7 + 10732496/9628941*c_1100_10^6 + 2441659/9628941*c_1100_10^5 + 26710108/9628941*c_1100_10^4 - 48210598/9628941*c_1100_10^3 - 18402514/9628941*c_1100_10^2 - 20666846/9628941*c_1100_10 - 1131663/3209647, c_0011_3 - 1928524/9628941*c_1100_10^7 - 10732496/9628941*c_1100_10^6 - 2441659/9628941*c_1100_10^5 - 26710108/9628941*c_1100_10^4 + 48210598/9628941*c_1100_10^3 + 18402514/9628941*c_1100_10^2 + 20666846/9628941*c_1100_10 + 1131663/3209647, c_0011_9 + c_1100_10, c_0101_0 - 1, c_0101_10 + 2863304/28886823*c_1100_10^7 + 6020648/9628941*c_1100_10^6 + 6867610/9628941*c_1100_10^5 + 79272730/28886823*c_1100_10^4 + 7284925/9628941*c_1100_10^3 + 77284595/28886823*c_1100_10^2 + 12848956/9628941*c_1100_10 + 20837807/28886823, c_0101_12 + 1, c_0101_4 + 1241068/28886823*c_1100_10^7 + 883588/3209647*c_1100_10^6 + 1115763/3209647*c_1100_10^5 + 36931025/28886823*c_1100_10^4 + 2935384/9628941*c_1100_10^3 + 24177226/28886823*c_1100_10^2 + 1523366/3209647*c_1100_10 - 3945518/28886823, c_1001_0 - 1, c_1001_2 - 1928524/9628941*c_1100_10^7 - 10732496/9628941*c_1100_10^6 - 2441659/9628941*c_1100_10^5 - 26710108/9628941*c_1100_10^4 + 48210598/9628941*c_1100_10^3 + 18402514/9628941*c_1100_10^2 + 20666846/9628941*c_1100_10 + 4341310/3209647, c_1001_4 - 740116/28886823*c_1100_10^7 - 1219016/9628941*c_1100_10^6 + 1377101/9628941*c_1100_10^5 + 7962154/28886823*c_1100_10^4 + 5429755/3209647*c_1100_10^3 + 36238532/28886823*c_1100_10^2 + 1648484/9628941*c_1100_10 - 15398734/28886823, c_1100_10^8 + 7*c_1100_10^7 + 45/4*c_1100_10^6 + 119/4*c_1100_10^5 + 71/4*c_1100_10^4 + 13*c_1100_10^3 + 37/4*c_1100_10^2 + 1/4*c_1100_10 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB