Magma V2.19-8 Wed Aug 21 2013 00:53:29 on localhost [Seed = 492505337] Type ? for help. Type -D to quit. Loading file "L12n160__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n160 geometric_solution 11.47162836 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 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 1.250000000000 0.661437827766 0 5 2 5 0132 0132 2103 3012 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750000000000 0.661437827766 1 0 7 6 2103 0132 0132 0132 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 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 0.750000000000 0.661437827766 5 8 6 0 3012 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 -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 0.375000000000 0.330718913883 9 8 0 10 0132 0321 0132 0132 0 1 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 0 0 0 0 -1 1 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 0.648422415746 0.568864481006 6 1 1 3 0321 0132 1230 1230 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250000000000 0.661437827766 5 10 2 3 0321 0132 0132 0132 0 1 1 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 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 0.500000000000 1.322875655532 9 8 10 2 3120 0213 0132 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 -1 1 0 0 0 0 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.128532932061 0.764542756818 11 3 7 4 0132 0132 0213 0321 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 0 0 0 0 0 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 0.786151377757 1.272019649514 4 11 12 7 0132 2310 0132 3120 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 -5 5 -1 0 1 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 1.000000000000 0.500000000000 12 6 4 7 0132 0132 0132 0132 0 1 1 1 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 0 -1 1 0 0 0 0 4 1 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.786151377757 1.272019649514 8 12 12 9 0132 0132 3120 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 -4 4 1 0 -1 0 0 0 0 0 -1 -4 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568864481006 0.351577584254 10 11 11 9 0132 0132 3120 0132 1 1 1 1 0 0 1 -1 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 -5 5 0 0 1 -1 0 4 0 -4 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568864481006 0.351577584254 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_1001_11']), 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_11'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_11'], 'c_1010_11' : negation(d['c_1001_11']), 'c_1010_10' : d['c_1001_0'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_4']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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_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' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_4'], 'c_1100_8' : d['c_1001_2'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_4'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_1001_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : d['c_0011_4'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : 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_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_7'], 'c_0110_10' : negation(d['c_0011_4']), 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_7'], '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' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_0'])})} 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_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_1001_0, c_1001_10, c_1001_11, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 1/48*c_1001_11 - 11/240*c_1001_2 + 1/80, c_0011_0 - 1, c_0011_10 + 2, c_0011_4 + 1/2*c_1001_11*c_1001_2 + 1/2*c_1001_11 + c_1001_2, c_0011_7 + 1/2*c_1001_11*c_1001_2 - 1/2*c_1001_11 + 1, c_0101_0 - 3*c_1001_2, c_0101_1 - 2, c_0101_10 + 1/2*c_1001_11*c_1001_2 - 1/2*c_1001_11 + 1, c_0101_5 + c_1001_2, c_1001_0 - 1, c_1001_10 + c_1001_2, c_1001_11^2 + 2*c_1001_11*c_1001_2 + 2*c_1001_2, c_1001_2^2 + 1, c_1100_0 - 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_1001_0, c_1001_10, c_1001_11, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 109/680*c_1001_11^3*c_1001_2 + 31/340*c_1001_11^3 - 11/680*c_1001_11^2*c_1001_2 - 39/340*c_1001_11^2 - 39/170*c_1001_11*c_1001_2 - 381/1360*c_1001_11 + 623/1360*c_1001_2 + 299/1360, c_0011_0 - 1, c_0011_10 + 4/17*c_1001_11^3*c_1001_2 + 16/17*c_1001_11^3 + 18/17*c_1001_11^2*c_1001_2 + 4/17*c_1001_11^2 + 8/17*c_1001_11*c_1001_2 - 36/17*c_1001_11 + 8/17*c_1001_2 - 2/17, c_0011_4 + 8/17*c_1001_11^3*c_1001_2 - 2/17*c_1001_11^3 + 2/17*c_1001_11^2*c_1001_2 - 9/17*c_1001_11^2 - 19/34*c_1001_11*c_1001_2 - 25/34*c_1001_11 - 1/17*c_1001_2 - 4/17, c_0011_7 - 2/17*c_1001_11^3*c_1001_2 - 8/17*c_1001_11^3 - 9/17*c_1001_11^2*c_1001_2 - 2/17*c_1001_11^2 + 9/34*c_1001_11*c_1001_2 + 53/34*c_1001_11 - 4/17*c_1001_2 + 1/17, c_0101_0 - 16/17*c_1001_11^3*c_1001_2 + 4/17*c_1001_11^3 - 4/17*c_1001_11^2*c_1001_2 + 18/17*c_1001_11^2 + 36/17*c_1001_11*c_1001_2 + 8/17*c_1001_11 + 19/17*c_1001_2 + 8/17, c_0101_1 - 4/17*c_1001_11^3*c_1001_2 - 16/17*c_1001_11^3 - 18/17*c_1001_11^2*c_1001_2 - 4/17*c_1001_11^2 - 8/17*c_1001_11*c_1001_2 + 36/17*c_1001_11 - 8/17*c_1001_2 + 2/17, c_0101_10 - 2/17*c_1001_11^3*c_1001_2 - 8/17*c_1001_11^3 - 9/17*c_1001_11^2*c_1001_2 - 2/17*c_1001_11^2 + 9/34*c_1001_11*c_1001_2 + 53/34*c_1001_11 - 4/17*c_1001_2 + 1/17, c_0101_5 + 16/17*c_1001_11^3*c_1001_2 - 4/17*c_1001_11^3 + 4/17*c_1001_11^2*c_1001_2 - 18/17*c_1001_11^2 - 36/17*c_1001_11*c_1001_2 - 8/17*c_1001_11 + 15/17*c_1001_2 - 8/17, c_1001_0 - 1, c_1001_10 - c_1001_2, c_1001_11^4 + c_1001_11^3*c_1001_2 + 3/2*c_1001_11^2*c_1001_2 - 2*c_1001_11^2 + c_1001_11 - 1, c_1001_2^2 + 1, c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.270 seconds, Total memory usage: 32.09MB