Magma V2.19-8 Wed Aug 21 2013 00:01:43 on localhost [Seed = 4038498625] Type ? for help. Type -D to quit. Loading file "L14n56957__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n56957 geometric_solution 10.79496970 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 1 0132 1230 0132 2031 2 2 1 2 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 1 0 -1 0 0 0 0 5 -4 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.564814269225 0.704842254126 0 0 0 3 0132 1302 3012 0132 2 2 2 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 0 0 0 0 -1 1 0 1 0 -1 -5 1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307671031953 0.863970223529 4 5 6 0 0132 0132 0132 0132 2 2 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 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 0.449094875232 0.481565767940 4 7 1 8 2103 0132 0132 0132 2 2 2 2 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 3 0 -1 -2 -2 2 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.028955958527 0.899447008327 2 4 3 4 0132 2310 2103 3201 2 2 2 2 0 1 -1 0 0 0 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 -3 2 1 0 0 -3 3 0 -3 0 3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.092000393164 1.553636079062 8 2 8 9 0213 0132 1230 0132 2 0 2 2 0 0 0 0 1 0 -1 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 1 -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 0.673029627952 0.706519381313 10 7 11 2 0132 1230 0132 0132 2 2 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 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 0.925376135265 1.150200175976 9 3 6 11 1023 0132 3012 3120 2 2 2 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 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575375571162 0.527788727373 5 10 3 5 0213 2103 0132 3012 2 2 0 2 0 0 0 0 1 0 -1 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 -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 0.293138953576 0.742034241067 10 7 5 10 2031 1023 0132 1023 2 0 2 2 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 -1 0 1 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.914227292382 0.588536261478 6 8 9 9 0132 2103 1302 1023 0 2 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 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 0.226664055883 0.497837079695 7 11 11 6 3120 1230 3012 0132 2 2 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 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 1.575375571162 0.527788727373 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_11']), 'c_1001_10' : d['c_0011_8'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_11']), 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : d['c_0011_10'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_0011_8'], 's_0_10' : negation(d['1']), 's_0_11' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_3'], 's_2_0' : negation(d['1']), 's_2_1' : 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' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : d['c_0011_2'], 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0011_11'], 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_0011_11'], 's_3_11' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_9']), 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0101_9'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : d['c_0101_7'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0011_10'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_6'], 'c_1010_8' : negation(d['c_0011_8']), 'c_1100_8' : negation(d['c_1001_0']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(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'], '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' : negation(d['1']), 's_1_2' : negation(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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : negation(d['c_0011_3']), '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_3'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_6'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_8'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_2']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_8'], 'c_0110_8' : negation(d['c_0101_9']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_6'], 'c_0110_6' : d['c_0011_3']})} 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_2, c_0011_3, c_0011_8, c_0101_0, c_0101_11, c_0101_6, c_0101_7, c_0101_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 24778*c_1001_0^2 - 282074*c_1001_0 - 643633/2, c_0011_0 - 1, c_0011_10 - 1/4*c_1001_0^2 - 7/2*c_1001_0 - 2, c_0011_11 - c_1001_0 - 1, c_0011_2 - 1/4*c_1001_0^2 - 5/2*c_1001_0 - 2, c_0011_3 - 1/4*c_1001_0^2 - 3*c_1001_0 - 2, c_0011_8 - 1, c_0101_0 - 1, c_0101_11 + 1/4*c_1001_0^2 + 3/2*c_1001_0 + 1, c_0101_6 - 1/2*c_1001_0, c_0101_7 - 1/4*c_1001_0^2 - 7/2*c_1001_0 - 2, c_0101_9 + 1, c_1001_0^3 + 12*c_1001_0^2 + 20*c_1001_0 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB