Magma V2.19-8 Wed Aug 21 2013 00:54:41 on localhost [Seed = 4256950195] Type ? for help. Type -D to quit. Loading file "L12n546__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n546 geometric_solution 11.98399376 oriented_manifold CS_known 0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1302 0132 1 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 1 -1 0 0 0 0 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612967758950 0.793060341412 0 4 5 4 0132 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496998878527 1.018390868980 0 0 6 4 2031 0132 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 0 1 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389884032071 0.789370681838 7 8 0 4 0132 0132 0132 0213 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 1 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 0.250864579023 0.963215315209 1 1 2 3 3012 0132 0132 0213 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389884032071 0.789370681838 9 6 10 1 0132 1023 0132 0132 1 1 1 1 0 0 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 10 0 -11 1 1 0 0 -1 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560379990083 0.449589870201 5 8 11 2 1023 0321 0132 0132 1 1 1 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 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.496998878527 1.018390868980 3 10 11 9 0132 0132 1302 0132 1 1 1 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 -1 -10 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.439620009917 0.449589870201 10 3 12 6 0132 0132 0132 0321 1 1 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 0 0 0 0 1 -1 0 11 0 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381029998105 1.243721396548 5 12 7 12 0132 1230 0132 2310 1 1 1 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 -10 0 0 10 10 -10 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.264552762677 1.112332446019 8 7 11 5 0132 0132 2310 0132 1 1 1 1 0 0 0 0 1 0 0 -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 -11 0 0 11 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.270589822129 1.198126111361 7 10 12 6 2031 3201 0213 0132 1 1 1 1 0 0 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 -11 0 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751435807048 0.783538652393 9 11 9 8 3201 0213 3012 0132 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 -1 1 0 0 0 0 0 0 0 0 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.264552762677 1.112332446019 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_5'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_5'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : d['c_0101_6'], 'c_1001_6' : negation(d['c_1001_10']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_1001_8'], 'c_1010_11' : negation(d['c_1001_10']), 'c_1010_10' : d['c_0101_6'], 's_3_11' : d['1'], 's_3_10' : 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_12'], 'c_0101_10' : negation(d['c_0011_5']), 's_2_0' : d['1'], 's_2_1' : 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' : negation(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_1100_9' : d['c_0011_12'], 'c_1100_8' : negation(d['c_1001_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : d['c_1001_8'], 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : d['c_1001_8'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_1001_8'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_8'], 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_8'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : negation(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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_10']), 's_1_7' : d['1'], 's_1_6' : 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']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_5'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : negation(d['c_0101_12']), 'c_0110_12' : negation(d['c_0101_12']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_12']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : negation(d['c_0101_12']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_12']), 'c_0110_8' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0011_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_11']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} 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_12, c_0011_5, c_0101_1, c_0101_12, c_0101_2, c_0101_4, c_0101_6, c_1001_10, c_1001_2, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 1 Groebner basis: [ t - 1/48, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 1, c_0011_12 - 4, c_0011_5 - 1, c_0101_1 - 1, c_0101_12 + 2, c_0101_2 + 2, c_0101_4 - 1, c_0101_6 + 3, c_1001_10 - 1, c_1001_2 + 1, c_1001_8 - 1 ], 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_12, c_0011_5, c_0101_1, c_0101_12, c_0101_2, c_0101_4, c_0101_6, c_1001_10, c_1001_2, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 1201/224*c_1001_2 - 2795/448, c_0011_0 - 1, c_0011_10 + c_1001_2, c_0011_11 - c_1001_2, c_0011_12 - 1/2*c_1001_2 + 3/2, c_0011_5 - 1/2*c_1001_2 + 1/2, c_0101_1 - 1, c_0101_12 - 3/2*c_1001_2 + 1/2, c_0101_2 - c_1001_2 + 1, c_0101_4 - 1, c_0101_6 - 3/2*c_1001_2 - 1/2, c_1001_10 - 1/2*c_1001_2 + 1/2, c_1001_2^2 - 1/2*c_1001_2 + 1/2, c_1001_8 - 1 ], 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_12, c_0011_5, c_0101_1, c_0101_12, c_0101_2, c_0101_4, c_0101_6, c_1001_10, c_1001_2, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 85/8*c_1001_2 - 457/16, c_0011_0 - 1, c_0011_10 + c_1001_2, c_0011_11 - c_1001_2, c_0011_12 - 3/2*c_1001_2 - 1/2, c_0011_5 + 1/2*c_1001_2 + 1/2, c_0101_1 - 1, c_0101_12 - 1/2*c_1001_2 + 1/2, c_0101_2 - c_1001_2 - 1, c_0101_4 + 1, c_0101_6 - 1/2*c_1001_2 - 1/2, c_1001_10 + 1/2*c_1001_2 + 1/2, c_1001_2^2 + 1/2*c_1001_2 + 1/2, c_1001_8 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.270 Total time: 0.470 seconds, Total memory usage: 32.09MB