Magma V2.19-8 Wed Aug 21 2013 00:57:40 on localhost [Seed = 1157849073] Type ? for help. Type -D to quit. Loading file "L13n4392__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4392 geometric_solution 11.66894835 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668546145168 0.586111108442 0 5 7 6 0132 0132 0132 0132 1 1 1 1 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 0 0 0 0 0 1 -1 0 -7 0 7 1 -8 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.982566532631 1.398386507538 8 0 6 9 0132 0132 3201 0132 1 1 1 1 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 -7 8 0 0 0 0 8 0 0 -8 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.787398822344 0.964546997499 6 9 5 0 1023 1023 1023 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 0.787398822344 0.964546997499 10 6 0 8 0132 2310 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.982566532631 1.398386507538 11 1 3 8 0132 0132 1023 2031 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 -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 8 0 -8 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586805633136 0.308621482280 2 3 1 4 2310 1023 0132 3201 1 1 1 1 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 -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 0.182703181701 0.511193400334 10 11 10 1 3120 3120 2310 0132 1 1 1 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 0 0 0 1 0 0 -1 0 7 0 -7 4 1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.001010347905 0.794136145003 2 5 12 4 0132 1302 0132 1023 1 1 1 1 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 -1 1 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586805633136 0.308621482280 3 9 2 9 1023 2310 0132 3201 1 1 1 1 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 -8 8 0 0 0 0 0 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.077170637143 1.087300536103 4 7 12 7 0132 3201 3120 3120 0 1 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 0 0 0 5 -1 -4 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 0.001010347905 0.794136145003 5 7 12 12 0132 3120 3012 3120 0 1 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 -1 1 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 0.665101096590 0.702069739964 11 11 10 8 3120 1230 3120 0132 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 -1 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.665101096590 0.702069739964 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_2']), 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0110_9'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : d['c_0110_9'], 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : negation(d['c_0011_12']), 's_3_11' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : 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' : 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' : negation(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' : negation(d['c_0011_0']), 'c_1100_8' : negation(d['c_0101_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : negation(d['c_0011_3']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : negation(d['c_0101_12']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_0'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0110_9'], 'c_1010_2' : d['c_0110_9'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : negation(d['c_0110_9']), 'c_1010_8' : d['c_0101_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : 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_10']), 's_1_7' : negation(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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_3'], '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_12'], 'c_0011_6' : d['c_0011_3'], '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_5'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_5'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_12'], '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_0101_3'], '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_0101_5'], 'c_0101_8' : d['c_0101_5'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10'], 's_2_9' : d['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_12, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0101_3, c_0101_5, c_0110_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 1177921715/45874432*c_0110_9^5 + 3655223/22937216*c_0110_9^4 - 3049765193/45874432*c_0110_9^3 - 3248921435/45874432*c_0110_9^2 - 256543169/22937216*c_0110_9 - 588011851/45874432, c_0011_0 - 1, c_0011_10 - 1175/1328*c_0110_9^5 + 1555/1328*c_0110_9^4 + 365/166*c_0110_9^3 - 357/1328*c_0110_9^2 - 4827/1328*c_0110_9 - 555/332, c_0011_12 - 1, c_0011_3 - 95/332*c_0110_9^5 + 267/332*c_0110_9^4 + 112/83*c_0110_9^3 - 553/332*c_0110_9^2 - 759/332*c_0110_9 - 59/83, c_0101_0 - 245/664*c_0110_9^5 + 77/664*c_0110_9^4 + 92/83*c_0110_9^3 + 129/664*c_0110_9^2 - 245/664*c_0110_9 - 91/166, c_0101_1 + 1175/1328*c_0110_9^5 - 1555/1328*c_0110_9^4 - 365/166*c_0110_9^3 + 357/1328*c_0110_9^2 + 4827/1328*c_0110_9 + 223/332, c_0101_10 + 1, c_0101_11 - 375/332*c_0110_9^5 + 355/332*c_0110_9^4 + 263/83*c_0110_9^3 + 211/332*c_0110_9^2 - 1371/332*c_0110_9 - 80/83, c_0101_12 + 1, c_0101_2 - 45/166*c_0110_9^5 + 96/83*c_0110_9^4 + 10/83*c_0110_9^3 - 227/166*c_0110_9^2 - 147/83*c_0110_9 + 97/83, c_0101_3 + 45/166*c_0110_9^5 - 96/83*c_0110_9^4 - 10/83*c_0110_9^3 + 227/166*c_0110_9^2 + 147/83*c_0110_9 - 97/83, c_0101_5 - 375/332*c_0110_9^5 + 355/332*c_0110_9^4 + 263/83*c_0110_9^3 + 211/332*c_0110_9^2 - 1371/332*c_0110_9 - 163/83, c_0110_9^6 - 8/5*c_0110_9^5 - 13/5*c_0110_9^4 + 7/5*c_0110_9^3 + 4*c_0110_9^2 + 1/5*c_0110_9 + 4/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.370 Total time: 0.580 seconds, Total memory usage: 32.09MB