Magma V2.19-8 Tue Aug 20 2013 23:30:18 on localhost [Seed = 391213369] Type ? for help. Type -D to quit. Loading file "L12a1635__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1635 geometric_solution 7.08479004 oriented_manifold CS_known 0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 1 2 2 1 0132 0132 3201 3201 2 2 2 2 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 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.585230957006 0.600435765583 0 0 1 1 0132 2310 1230 3012 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 2.388195519899 0.307623308610 0 0 4 3 2310 0132 0132 0132 2 2 2 2 0 -1 1 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 -5 6 -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 0.060419471112 0.587633507568 4 5 2 6 1230 0132 0132 0132 2 2 1 2 0 0 0 0 1 0 0 -1 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 0 1 -1 5 0 0 -5 -1 -5 0 6 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.939547050837 1.012261477783 7 3 8 2 0132 3012 0132 0132 2 2 2 1 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 6 0 -6 0 0 0 0 0 -5 0 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.939547050837 1.012261477783 6 3 8 7 0213 0132 1302 3012 2 0 2 1 0 0 0 0 -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 0 0 0 -2 0 1 1 5 -6 0 1 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.986819554468 0.941974296267 5 7 3 8 0213 1302 0132 0132 2 2 0 1 0 0 0 0 -1 0 1 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 -5 0 5 0 2 -1 0 -1 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.013180445532 0.941974296267 4 8 5 6 0132 3120 1230 2031 0 2 1 2 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 -1 1 0 0 -1 1 1 5 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.986819554468 0.941974296267 5 7 6 4 2031 3120 0132 0132 2 2 1 0 0 0 0 0 0 0 0 0 1 -1 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 5 -5 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.013180445532 0.941974296267 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_0'], 'c_1001_8' : d['c_0101_8'], 's_2_8' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_0_8' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_8' : d['c_1100_2'], 'c_1100_5' : d['c_0101_8'], 'c_1100_4' : d['c_1100_2'], 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : d['c_1100_2'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_1100_2'], 'c_1100_2' : d['c_1100_2'], 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_0'], 'c_1010_8' : negation(d['c_0011_3']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : negation(d['1']), 's_1_6' : negation(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' : negation(d['1']), 's_1_0' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_8' : negation(d['c_0011_6']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_3'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : negation(d['c_0101_8']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : d['c_0101_8']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_8, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 2322684/4462891*c_1100_2^3 - 5146653/8925782*c_1100_2^2 - 5639174/4462891*c_1100_2 + 16357295/8925782, c_0011_0 - 1, c_0011_3 - 1, c_0011_6 - 1, c_0101_0 + 56/337*c_1100_2^3 + 13/337*c_1100_2^2 + 6/337*c_1100_2 - 350/337, c_0101_1 + 472/6403*c_1100_2^3 + 1265/6403*c_1100_2^2 + 1543/6403*c_1100_2 - 4298/6403, c_0101_2 + 2048/6403*c_1100_2^3 + 2016/6403*c_1100_2^2 + 75/6403*c_1100_2 - 6060/6403, c_0101_4 - 784/6403*c_1100_2^3 - 5574/6403*c_1100_2^2 - 2780/6403*c_1100_2 + 6922/6403, c_0101_8 + 1024/6403*c_1100_2^3 + 1008/6403*c_1100_2^2 + 3239/6403*c_1100_2 - 3030/6403, c_1100_2^4 + 3/8*c_1100_2^3 + c_1100_2^2 - 43/8*c_1100_2 + 41/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB