Magma V2.19-8 Tue Aug 20 2013 23:52:46 on localhost [Seed = 4071921955] Type ? for help. Type -D to quit. Loading file "L13n3812__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3812 geometric_solution 11.43437347 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 1 1 1 0 0 -1 0 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 6 1 -7 -6 0 6 0 7 -7 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.951563050673 1.143820781556 0 5 4 6 0132 0132 2310 0132 0 1 0 1 0 0 0 0 -1 0 1 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 6 0 -6 0 -2 1 0 1 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.172043843780 0.748181093403 7 0 8 5 0132 0132 0132 2103 1 1 0 1 0 1 -1 0 0 0 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 -6 6 0 0 0 0 0 -1 1 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.154333966170 1.064587085833 9 10 11 0 0132 0132 0132 0132 1 1 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 6 -6 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444254705157 0.564113862728 8 1 0 10 1230 3201 0132 0132 1 1 0 1 0 1 -1 0 -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 -7 7 0 7 0 0 -7 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424561187295 1.048007409487 7 1 9 2 1023 0132 3012 2103 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.177665752090 0.572975814941 9 10 1 11 2103 3012 0132 2310 0 1 1 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 -1 7 0 -6 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531088536230 0.892073902292 2 5 10 11 0132 1023 0132 0132 1 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643457138226 1.194343903401 9 4 11 2 3012 3012 3012 0132 1 1 1 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 6 0 -6 1 0 -1 0 0 -7 0 7 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379190931321 0.468136151674 3 5 6 8 0132 1230 2103 1230 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 1 -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 0.446256914111 1.274275232140 6 3 4 7 1230 0132 0132 0132 1 1 0 0 0 0 0 0 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 -7 0 7 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.304827205619 0.640928786048 6 8 7 3 3201 1230 0132 0132 1 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 0 0 0 0 1 0 -1 6 0 0 -6 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379815415612 0.771278131494 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_11']), 'c_1001_11' : d['c_0110_5'], 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_1']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0101_5'], 'c_1010_10' : d['c_0101_5'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_8'], '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_10' : negation(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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0110_5']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0110_5']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_11'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : negation(d['c_0101_1']), 'c_1010_9' : d['c_0101_5'], 'c_1010_8' : negation(d['c_0101_1']), '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' : negation(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' : negation(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_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_8'], 'c_0110_10' : d['c_0011_6'], 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_8'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_5'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_8'], 'c_0110_8' : d['c_0101_11'], '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_0011_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10']})} 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_6, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0110_5, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 56777/16718*c_1100_0^7 - 4147/2572*c_1100_0^6 + 161303/16718*c_1100_0^5 - 84459/33436*c_1100_0^4 - 1217299/33436*c_1100_0^3 + 178591/16718*c_1100_0^2 - 182651/33436*c_1100_0 + 428039/33436, c_0011_0 - 1, c_0011_10 - 20/643*c_1100_0^7 - 188/643*c_1100_0^6 + 4/643*c_1100_0^5 + 548/643*c_1100_0^4 - 355/643*c_1100_0^3 - 1736/643*c_1100_0^2 + 1244/643*c_1100_0 + 33/643, c_0011_11 + 154/643*c_1100_0^7 + 33/643*c_1100_0^6 - 288/643*c_1100_0^5 + 410/643*c_1100_0^4 + 1126/643*c_1100_0^3 - 1036/643*c_1100_0^2 + 2381/643*c_1100_0 + 196/643, c_0011_6 - 163/643*c_1100_0^7 + 11/643*c_1100_0^6 + 547/643*c_1100_0^5 - 292/643*c_1100_0^4 - 1768/643*c_1100_0^3 + 1155/643*c_1100_0^2 - 278/643*c_1100_0 + 494/643, c_0011_8 + 290/643*c_1100_0^7 + 154/643*c_1100_0^6 - 701/643*c_1100_0^5 + 413/643*c_1100_0^4 + 2897/643*c_1100_0^3 - 1191/643*c_1100_0^2 + 1252/643*c_1100_0 - 157/643, c_0101_0 + 169/643*c_1100_0^7 + 174/643*c_1100_0^6 - 291/643*c_1100_0^5 - 1/643*c_1100_0^4 + 1553/643*c_1100_0^3 + 266/643*c_1100_0^2 + 805/643*c_1100_0 - 311/643, c_0101_1 - 1, c_0101_11 + 121/643*c_1100_0^7 - 20/643*c_1100_0^6 - 410/643*c_1100_0^5 + 414/643*c_1100_0^4 + 1344/643*c_1100_0^3 - 1457/643*c_1100_0^2 - 196/643*c_1100_0 - 489/643, c_0101_5 + 489/643*c_1100_0^7 + 610/643*c_1100_0^6 - 998/643*c_1100_0^5 - 410/643*c_1100_0^4 + 5304/643*c_1100_0^3 + 2322/643*c_1100_0^2 + 1477/643*c_1100_0 + 447/643, c_0110_5 - 473/643*c_1100_0^7 - 331/643*c_1100_0^6 + 1252/643*c_1100_0^5 - 157/643*c_1100_0^4 - 5020/643*c_1100_0^3 + 610/643*c_1100_0^2 - 929/643*c_1100_0 + 684/643, c_1001_0 - 169/643*c_1100_0^7 - 174/643*c_1100_0^6 + 291/643*c_1100_0^5 + 1/643*c_1100_0^4 - 1553/643*c_1100_0^3 - 266/643*c_1100_0^2 - 1448/643*c_1100_0 + 311/643, c_1100_0^8 + c_1100_0^7 - 2*c_1100_0^6 + 10*c_1100_0^4 + 2*c_1100_0^3 + 6*c_1100_0^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB