Magma V2.19-8 Tue Aug 20 2013 23:51:13 on localhost [Seed = 711737654] Type ? for help. Type -D to quit. Loading file "L13n10328__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n10328 geometric_solution 11.85727367 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 0 0 1 2 1302 2031 0132 0132 0 0 0 0 0 0 -1 1 1 0 0 -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 -1 3 -2 -2 0 0 2 1 -1 0 0 1 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.375619406657 0.736662623072 3 4 5 0 0132 0132 0132 0132 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 0 3 -3 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 0 0 0.550818034038 0.950031024793 6 7 0 5 0132 0132 0132 2310 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 0 0 0 0 0 0 0 2 -2 0 0 -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 0.550818034038 0.950031024793 1 7 7 7 0132 1023 1230 1302 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 0 0 0 0 0 0 0 0 2 1 -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 0 0 0 0.345086193442 0.618941575529 6 1 6 8 1023 0132 2031 0132 0 2 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 1 -1 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657089986434 1.104303598865 2 9 10 1 3201 0132 0132 0132 0 0 0 0 0 -1 0 1 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 3 0 -3 0 0 0 0 2 -2 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.720855971881 0.555166180068 2 4 11 4 0132 1023 0132 1302 2 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 1 -1 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 0.657089986434 1.104303598865 3 2 3 3 1023 0132 2031 3012 0 1 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 3 -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 0.345086193442 0.618941575529 10 11 4 10 1302 1023 0132 2310 0 2 0 0 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 -3 0 1 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 0.372132415802 1.035165459837 10 5 11 11 2310 0132 1023 2031 0 2 0 0 0 1 0 -1 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 -3 0 3 1 0 0 -1 0 -2 0 2 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.692465273270 0.855473249019 8 8 9 5 3201 2031 3201 0132 0 0 0 2 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 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.692465273270 0.855473249019 8 9 9 6 1023 1302 1023 0132 2 0 0 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 0 -3 0 3 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372132415802 1.035165459837 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_0101_10'], 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_11'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : d['c_0101_4'], 'c_1010_10' : d['c_0011_11'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : 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' : negation(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_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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : negation(d['c_0101_7']), 'c_1100_6' : d['c_0101_4'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0011_5'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_4'], 'c_1100_10' : d['c_0011_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_0'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : negation(d['c_0101_5']), 'c_1100_8' : d['c_0011_10'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : 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' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 'c_0110_0' : d['c_0101_2'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_7' : negation(d['c_0011_1']), 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_0110_11' : negation(d['c_0101_5']), 'c_0110_10' : d['c_0101_5'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : negation(d['c_0011_10']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : negation(d['c_0011_0']), 'c_1100_9' : negation(d['c_0101_4']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_7'], 'c_0110_6' : d['c_0101_2'], 's_1_0' : negation(d['1'])})} 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_1, c_0011_10, c_0011_11, c_0011_5, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_4, c_0101_5, c_0101_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1034568126373/2054360*c_0101_5^5 - 218999723183/146740*c_0101_5^4 - 411033491514/51359*c_0101_5^3 - 1544399926291/186760*c_0101_5^2 - 5823360958383/293480*c_0101_5 + 28384532719897/2054360, c_0011_0 - 1, c_0011_1 + 41/385*c_0101_5^5 + 17/55*c_0101_5^4 + 127/77*c_0101_5^3 + 62/35*c_0101_5^2 + 261/55*c_0101_5 - 324/385, c_0011_10 + 1, c_0011_11 + 18/385*c_0101_5^5 - 14/55*c_0101_5^4 - 25/77*c_0101_5^3 - 94/35*c_0101_5^2 - 92/55*c_0101_5 + 8/385, c_0011_5 - 9/77*c_0101_5^5 - 4/11*c_0101_5^4 - 130/77*c_0101_5^3 - 16/7*c_0101_5^2 - 31/11*c_0101_5 - 4/77, c_0101_1 + 41/385*c_0101_5^5 + 17/55*c_0101_5^4 + 127/77*c_0101_5^3 + 62/35*c_0101_5^2 + 261/55*c_0101_5 + 61/385, c_0101_10 - 8/385*c_0101_5^5 - 6/55*c_0101_5^4 - 6/77*c_0101_5^3 - 1/35*c_0101_5^2 + 102/55*c_0101_5 + 467/385, c_0101_11 - c_0101_5, c_0101_2 - 41/385*c_0101_5^5 - 17/55*c_0101_5^4 - 127/77*c_0101_5^3 - 62/35*c_0101_5^2 - 206/55*c_0101_5 + 324/385, c_0101_4 - 1, c_0101_5^6 + 3*c_0101_5^5 + 16*c_0101_5^4 + 17*c_0101_5^3 + 40*c_0101_5^2 - 26*c_0101_5 - 1, c_0101_7 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB