Magma V2.19-8 Wed Aug 21 2013 01:07:49 on localhost [Seed = 3137119135] Type ? for help. Type -D to quit. Loading file "L14n35132__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n35132 geometric_solution 11.62425804 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 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 -1 1 -1 0 0 1 1 -1 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.456635762662 1.732357925475 0 4 6 5 0132 1023 0132 0132 1 1 0 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 0 -1 0 5 -5 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431318398314 0.676325616194 7 0 8 7 0132 0132 0132 3012 0 0 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 0 0 0 6 0 0 -6 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415402465762 1.073039618035 5 9 10 0 0132 0132 0132 0132 0 1 0 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 -1 0 1 0 0 0 0 0 5 0 -5 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.291429472914 0.634232608086 1 9 0 7 1023 3201 0132 0213 0 1 0 1 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 -5 -1 6 0 0 -1 1 5 1 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.164840216947 0.525544812563 3 8 1 6 0132 2031 0132 3012 1 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 0 0 0 0 0 0 0 0 0 0 0 2 -3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.283774796421 0.788210912700 11 10 5 1 0132 2031 1230 0132 1 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 0 0 0 0 0 -1 1 -2 3 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.020628457765 1.208219648644 2 12 2 4 0132 0132 1230 0213 0 0 1 0 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 6 -6 -6 0 0 6 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.704651147208 0.394414570333 5 11 12 2 1302 0321 2031 0132 0 0 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 0 0 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.313754429632 0.810469270352 11 3 4 12 1230 0132 2310 2310 0 1 1 0 0 0 0 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 1 -1 0 0 0 0 0 2 -2 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.646890920968 0.733401364118 6 11 12 3 1302 0213 0321 0132 0 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 0 0 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.589775438859 0.833832387552 6 9 10 8 0132 3012 0213 0321 0 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 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 0.301736275603 0.476214184860 9 7 10 8 3201 0132 0321 1302 0 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 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.919405965998 0.604841180369 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : d['c_0011_3'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_9']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : negation(d['c_0101_7']), 'c_1001_3' : negation(d['c_0110_12']), 'c_1001_2' : negation(d['c_0101_9']), 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : negation(d['c_0110_12']), 'c_1010_12' : d['c_1001_7'], 'c_1010_11' : negation(d['c_0101_9']), 'c_1010_10' : negation(d['c_0110_12']), 's_0_10' : d['1'], 's_3_10' : 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_0011_10'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(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_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_1001_12'], 'c_1100_7' : d['c_0101_7'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_1001_12'], 'c_1100_3' : d['c_1001_12'], 'c_1100_2' : negation(d['c_1001_7']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_0']), 'c_1100_11' : negation(d['c_0110_12']), 'c_1100_10' : d['c_1001_12'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : negation(d['c_0101_7']), 'c_1010_2' : negation(d['c_0101_7']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_9']), 'c_1010_9' : negation(d['c_0110_12']), 'c_1010_8' : negation(d['c_0101_9']), 'c_1100_8' : negation(d['c_1001_7']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(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' : negation(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_8'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), '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_8']), 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_10'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_3'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_7' : d['c_0101_2'], '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_8, c_0101_0, c_0101_2, c_0101_3, c_0101_7, c_0101_9, c_0110_12, c_1001_12, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 131969290479191040/6444688880374939909*c_1001_7^3 - 6702668594825838592/32223444401874699545*c_1001_7^2 + 171207486759420544/222230651047411721*c_1001_7 - 24917217911117221056/32223444401874699545, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 2064/8437*c_1001_7^3 - 19072/8437*c_1001_7^2 + 64114/8437*c_1001_7 - 54596/8437, c_0011_3 + 272/767*c_1001_7^3 - 2882/767*c_1001_7^2 + 10655/767*c_1001_7 - 44589/3068, c_0011_8 + 3728/8437*c_1001_7^3 - 37064/8437*c_1001_7^2 + 132546/8437*c_1001_7 - 128566/8437, c_0101_0 + 1608/8437*c_1001_7^3 - 14466/8437*c_1001_7^2 + 52500/8437*c_1001_7 - 221347/33748, c_0101_2 + 536/8437*c_1001_7^3 - 4822/8437*c_1001_7^2 + 17500/8437*c_1001_7 - 96281/33748, c_0101_3 - 1072/8437*c_1001_7^3 + 9644/8437*c_1001_7^2 - 35000/8437*c_1001_7 + 62533/16874, c_0101_7 + 556/8437*c_1001_7^3 - 4876/8437*c_1001_7^2 + 37943/16874*c_1001_7 - 62033/33748, c_0101_9 + 536/8437*c_1001_7^3 - 4822/8437*c_1001_7^2 + 17500/8437*c_1001_7 - 130029/33748, c_0110_12 - 272/767*c_1001_7^3 + 2882/767*c_1001_7^2 - 10655/767*c_1001_7 + 44589/3068, c_1001_12 + 1648/8437*c_1001_7^3 - 14574/8437*c_1001_7^2 + 55443/8437*c_1001_7 - 254095/33748, c_1001_7^4 - 12*c_1001_7^3 + 113/2*c_1001_7^2 - 217/2*c_1001_7 + 4717/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.360 seconds, Total memory usage: 32.09MB