Magma V2.19-8 Tue Aug 20 2013 23:50:22 on localhost [Seed = 2193942617] Type ? for help. Type -D to quit. Loading file "L12n2203__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n2203 geometric_solution 10.99158713 oriented_manifold CS_known 0.0000000000000001 4 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 2 3 0 -1 1 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 2 -1 0 0 0 0 1 2 0 -3 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 1.000000000000 0 5 2 6 0132 0132 2103 0132 3 0 3 2 0 -1 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 -2 2 0 0 0 2 -2 -3 1 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 1.000000000000 1 0 7 4 2103 0132 0132 1023 0 0 3 2 0 1 0 -1 -1 0 1 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 0 -1 -2 0 1 1 -2 2 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 8 8 9 0 0132 1302 0132 0132 0 0 3 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 2 0 -2 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 0.000000000000 1.000000000000 5 7 0 2 0132 0132 0132 1023 0 0 3 2 0 0 0 0 -1 0 0 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 1 -1 -1 0 0 1 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 4 1 10 7 0132 0132 0132 3120 3 0 2 3 0 1 -1 0 1 0 0 -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 2 -2 0 1 0 0 -1 3 -1 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 10 10 1 11 2103 3120 0132 0132 3 0 3 3 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 -2 0 2 0 0 -1 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 1.000000000000 5 4 9 2 3120 0132 1023 0132 0 0 2 3 0 0 0 0 1 0 0 -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 1 0 0 -1 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 1.000000000000 3 11 10 3 0132 3120 2103 2031 3 0 1 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 0 0 0 0 0 0 0 -1 0 1 0 0 2 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 11 11 7 3 3120 1023 1023 0132 0 0 1 3 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 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000000000000 1.000000000000 8 6 6 5 2103 3120 2103 0132 3 0 3 3 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 0 0 0 0 0 0 0 -2 0 2 -2 0 2 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 0.000000000000 1.000000000000 9 8 6 9 1023 3120 0132 3120 3 0 1 3 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 -2 1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_11'], 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : 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_0'], '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_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' : 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_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1100_0']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_3'], 'c_1010_8' : negation(d['c_0011_11']), '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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], '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' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_5'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_9'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_9'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0101_5'])})} 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_6, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_5, c_0101_9, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1/4*c_1001_2 - 1/2, c_0011_0 - 1, c_0011_10 + 2*c_1001_2 + 2, c_0011_11 + 1, c_0011_6 - c_1001_2 - 2, c_0101_0 - 1, c_0101_1 - 1, c_0101_11 + 1, c_0101_3 - 1/2*c_1001_2 - 1, c_0101_5 - c_1001_2 - 1, c_0101_9 + c_1001_2 + 1, c_1001_2^2 + 2*c_1001_2 + 2, c_1100_0 + 1 ], 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_6, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_5, c_0101_9, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 36*c_1100_0 + 377/4, c_0011_0 - 1, c_0011_10 + 4*c_1100_0, c_0011_11 + 1, c_0011_6 + 2*c_1100_0 - 2, c_0101_0 - 1, c_0101_1 - 1, c_0101_11 + 1, c_0101_3 + 1/2, c_0101_5 + 2*c_1100_0 - 1, c_0101_9 - 2*c_1100_0 + 1, c_1001_2 + c_1100_0 - 1, c_1100_0^2 - 3*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB