Magma V2.19-8 Tue Aug 20 2013 23:49:06 on localhost [Seed = 1478374099] Type ? for help. Type -D to quit. Loading file "L12n1404__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1404 geometric_solution 11.69965217 oriented_manifold CS_known -0.0000000000000002 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 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 -4 1 3 4 0 0 -4 0 0 0 0 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583219751316 0.905991825580 0 5 6 2 0132 0132 0132 3012 1 1 0 1 0 0 0 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 0 0 0 0 0 0 0 -4 0 0 4 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419073855100 0.910977639258 3 0 1 5 1230 0132 1230 0132 1 0 0 1 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 0 0 0 0 0 4 -4 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515744416359 0.873998399522 7 2 8 0 0132 3012 0132 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 1 -1 0 0 0 0 1 0 0 -1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558220725935 0.814162791455 9 6 0 6 0132 1230 0132 0321 1 1 1 1 0 1 -1 0 0 0 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 3 -3 0 0 0 4 -4 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497247501492 0.546253522006 8 1 2 7 1302 0132 0132 1302 1 0 1 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427155369739 0.835491699924 10 4 4 1 0132 0321 3012 0132 1 1 1 1 0 0 0 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 3 0 -3 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.088702767375 1.001109752029 3 11 5 10 0132 0132 2031 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 4 -3 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.407971427597 0.762611320823 11 5 9 3 0132 2031 2310 0132 1 1 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 0 1 -1 -3 0 3 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 0.407971427597 0.762611320823 4 8 10 11 0132 3201 0213 2103 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 1 -1 0 0 0 0 0 -1 0 1 4 -3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.088702767375 1.001109752029 6 9 11 7 0132 0213 3120 2103 0 1 1 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 -1 0 1 -3 0 3 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 -0.087816791098 0.991110520696 8 7 10 9 0132 0132 3120 2103 1 1 0 0 0 0 0 0 1 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 0 0 1 -1 3 0 -3 0 0 -1 0 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574974590982 1.269192651508 ==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' : negation(d['c_0101_8']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0110_5']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_8']), 'c_1001_8' : negation(d['c_0110_5']), 'c_1010_11' : negation(d['c_0110_5']), 'c_1010_10' : negation(d['c_0101_8']), 's_0_10' : negation(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_1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(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' : d['1'], 's_0_5' : negation(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_8']), 'c_1100_8' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : negation(d['c_1001_2']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_1']), 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : d['c_0011_0'], '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' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), '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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), '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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : d['c_0101_6'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], '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_0011_10'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], '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_11'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_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_10, c_0011_11, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_6, c_0101_8, c_0110_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 304/63*c_0110_5*c_1001_2^2 + 848/63*c_0110_5*c_1001_2 + 400/63*c_0110_5 - 16/63*c_1001_2^2 + 32/63*c_1001_2 + 16/7, c_0011_0 - 1, c_0011_10 + 3*c_1001_2 + 3, c_0011_11 + 2*c_0110_5*c_1001_2^2 + 4*c_0110_5*c_1001_2 - c_0110_5 + 4*c_1001_2^2 + 11*c_1001_2 + 5, c_0011_4 - 2*c_0110_5*c_1001_2^2 - 4*c_0110_5*c_1001_2 - 2*c_0110_5 + 2*c_1001_2^2 + 5*c_1001_2 + 2, c_0101_0 - 2*c_0110_5*c_1001_2^2 - 4*c_0110_5*c_1001_2 - 2*c_1001_2^2 - 6*c_1001_2 - 3, c_0101_1 - 1, c_0101_11 - 2*c_0110_5*c_1001_2^2 - 6*c_0110_5*c_1001_2 - 3*c_0110_5 + 2*c_1001_2^2 + 4*c_1001_2, c_0101_2 + c_0110_5 - 2*c_1001_2^2 - 6*c_1001_2 - 3, c_0101_6 - 2*c_0110_5*c_1001_2^2 - 4*c_0110_5*c_1001_2 - 2*c_0110_5 + 2*c_1001_2^2 + 5*c_1001_2 + 1, c_0101_8 - 2*c_0110_5*c_1001_2^2 - 6*c_0110_5*c_1001_2 - 3*c_0110_5 - 1, c_0110_5^2 - 4*c_0110_5*c_1001_2^2 - 11*c_0110_5*c_1001_2 - 5*c_0110_5 + 3*c_1001_2^2 + 7*c_1001_2 + 2, c_1001_2^3 + 3*c_1001_2^2 + 2*c_1001_2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.350 seconds, Total memory usage: 32.09MB