Magma V2.19-8 Wed Aug 21 2013 00:58:38 on localhost [Seed = 1275745991] Type ? for help. Type -D to quit. Loading file "L13n5924__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5924 geometric_solution 11.88832861 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 -1 0 1 1 0 1 -2 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.047936711870 0.526859386246 0 5 6 3 0132 0132 0132 0321 1 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 -1 0 0 1 0 1 0 -1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.190796090691 1.562786126054 7 0 8 3 0132 0132 0132 3012 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 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 0.201943645778 0.552858909628 9 1 2 0 0132 0321 1230 0132 1 1 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 0 0 0 0 0 0 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 0.491715494426 0.917986506379 10 11 0 7 0132 0132 0132 1302 1 1 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 -1 1 0 0 2 -2 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440833227244 0.695301051627 7 1 9 11 1023 0132 2031 1230 1 0 0 1 0 0 0 0 -1 0 1 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 0 0 1 0 -2 1 0 1 0 -1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.731781054042 1.853396195370 12 8 11 1 0132 0132 0132 0132 1 1 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.876627742056 0.711182170014 2 5 4 12 0132 1023 2031 2031 0 1 0 1 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 -1 1 0 0 0 -1 1 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.744108643278 0.703013818690 10 6 11 2 1023 0132 1023 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329480570626 0.580877308414 3 12 10 5 0132 2310 3120 1302 0 1 1 1 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 0 -2 2 -1 0 0 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 0.628146802673 0.995841265751 4 8 9 12 0132 1023 3120 0132 1 1 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 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.936442774199 0.493909382592 5 4 8 6 3012 0132 1023 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 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.905797589402 1.094487774391 6 7 10 9 0132 1302 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773439660505 0.359180583729 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : d['c_0101_8'], 'c_1001_12' : d['c_0101_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_0101_11'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_8']), 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : d['c_0101_8'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_0101_2'], 's_0_10' : negation(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' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], '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' : negation(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' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_10']), 'c_1100_8' : negation(d['c_1001_3']), 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_3'], 'c_1100_10' : d['c_0011_3'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_6']), 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : negation(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_0011_3'], '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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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_6'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0101_1'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : d['c_0101_8'], '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' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], '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_3, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_6, c_0101_7, c_0101_8, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 327930613/4429823840*c_1001_3^5 + 97458617/442982384*c_1001_3^4 + 175979077/2214911920*c_1001_3^3 + 19167819209/4429823840*c_1001_3^2 - 232992147/42594460*c_1001_3 + 2040016817/885964768, c_0011_0 - 1, c_0011_10 + 1692/36097*c_1001_3^5 + 8546/36097*c_1001_3^4 + 38071/36097*c_1001_3^3 + 51519/36097*c_1001_3^2 + 77265/36097*c_1001_3 - 44341/36097, c_0011_3 + 1, c_0101_1 + 963/36097*c_1001_3^5 + 6784/36097*c_1001_3^4 + 19172/36097*c_1001_3^3 + 29898/36097*c_1001_3^2 - 2682/36097*c_1001_3 - 38485/36097, c_0101_10 - 1692/36097*c_1001_3^5 - 8546/36097*c_1001_3^4 - 38071/36097*c_1001_3^3 - 51519/36097*c_1001_3^2 - 77265/36097*c_1001_3 + 44341/36097, c_0101_11 + 682/36097*c_1001_3^5 + 3530/36097*c_1001_3^4 + 12828/36097*c_1001_3^3 + 23198/36097*c_1001_3^2 + 14631/36097*c_1001_3 - 5627/36097, c_0101_2 + 682/36097*c_1001_3^5 + 3530/36097*c_1001_3^4 + 12828/36097*c_1001_3^3 + 23198/36097*c_1001_3^2 + 50728/36097*c_1001_3 + 30470/36097, c_0101_3 - 1562/36097*c_1001_3^5 - 5756/36097*c_1001_3^4 - 25887/36097*c_1001_3^3 - 22856/36097*c_1001_3^2 - 50976/36097*c_1001_3 + 22203/36097, c_0101_6 + 203/36097*c_1001_3^5 + 1580/36097*c_1001_3^4 + 6253/36097*c_1001_3^3 + 3941/36097*c_1001_3^2 + 10230/36097*c_1001_3 - 34014/36097, c_0101_7 - 880/36097*c_1001_3^5 - 2226/36097*c_1001_3^4 - 13059/36097*c_1001_3^3 + 342/36097*c_1001_3^2 - 248/36097*c_1001_3 + 52673/36097, c_0101_8 - 1221/36097*c_1001_3^5 - 3991/36097*c_1001_3^4 - 19473/36097*c_1001_3^3 - 11257/36097*c_1001_3^2 - 25612/36097*c_1001_3 + 73535/36097, c_1001_2 + 1562/36097*c_1001_3^5 + 5756/36097*c_1001_3^4 + 25887/36097*c_1001_3^3 + 22856/36097*c_1001_3^2 + 50976/36097*c_1001_3 - 58300/36097, c_1001_3^6 + 4*c_1001_3^5 + 18*c_1001_3^4 + 15*c_1001_3^3 + 26*c_1001_3^2 - 49*c_1001_3 + 26 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.380 seconds, Total memory usage: 32.09MB