Magma V2.19-8 Tue Aug 20 2013 23:56:22 on localhost [Seed = 1325999955] Type ? for help. Type -D to quit. Loading file "L14n19734__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n19734 geometric_solution 10.39652486 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 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 1 0 -1 0 0 -1 1 0 1 0 -1 0 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529653427200 0.590475119165 0 2 5 5 0132 0213 2310 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -16 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.822633214689 0.621642455491 6 0 1 4 0132 0132 0213 3120 1 1 1 1 0 0 0 0 1 0 -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 -1 0 1 -15 0 16 -1 16 -16 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.608074547273 0.532107561610 7 8 8 0 0132 0132 1302 0132 1 1 1 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 -1 0 0 1 -16 0 0 16 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.317815339887 0.842021616018 2 9 0 10 3120 0132 0132 0132 1 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 15 1 -16 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 -0.137839819893 1.518336852665 7 1 1 6 2103 3201 0132 0213 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 0 0 0 0 0 0 0 0 0 0 16 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424425696986 1.487544762032 2 11 9 5 0132 0132 2031 0213 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 15 0 -15 0 -1 1 0 0 -16 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.982245754922 0.525200773322 3 11 5 11 0132 0213 2103 2310 1 1 0 1 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 1 0 0 -1 1 -1 0 0 16 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.226241073226 0.584709431383 3 3 9 11 2031 0132 2103 0213 1 1 0 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 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 0.607638769809 1.039523885868 8 4 10 6 2103 0132 2031 1302 1 1 1 1 0 1 0 -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 -15 0 15 0 0 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468812080936 0.257541128830 10 10 4 9 1302 2031 0132 1302 1 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 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369399015041 0.476158645436 7 6 7 8 3201 0132 0213 0213 1 0 1 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 0 0 0 0 0 0 0 0 0 1 -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 1.226241073226 0.584709431383 ==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' : negation(d['c_0110_10']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0110_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_0110_11']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0110_10']), 'c_1001_8' : negation(d['c_0011_4']), 'c_1010_11' : negation(d['c_0110_9']), 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_3']), 'c_0101_10' : negation(d['c_0011_10']), 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0110_9']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : negation(d['c_0011_0']), 'c_1100_6' : negation(d['c_1001_1']), 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0101_8'], 'c_1100_3' : d['c_0101_8'], 'c_1100_2' : negation(d['c_0101_1']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_11']), 'c_1100_10' : d['c_0101_8'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0110_11']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_1001_1']), 'c_1010_4' : negation(d['c_0110_10']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : negation(d['c_0110_11']), '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' : 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' : negation(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' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0011_0']), '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_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0110_10'], 'c_0011_6' : d['c_0011_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0110_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10']})} 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_3, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_8, c_0110_10, c_0110_11, c_0110_9, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 27/9025*c_0110_9*c_1001_1 - 208/27075*c_0110_9 - 784/27075*c_1001_1 - 1367/27075, c_0011_0 - 1, c_0011_10 - c_1001_1 - 1, c_0011_3 - 1, c_0011_4 - c_0110_9*c_1001_1 - c_1001_1 + 1, c_0011_5 + c_0110_9*c_1001_1 + c_1001_1 - 1, c_0101_0 + 3*c_1001_1, c_0101_1 - c_0110_9*c_1001_1 - c_1001_1, c_0101_8 + 1, c_0110_10 - 1, c_0110_11 - 1/3*c_0110_9 + 2/3*c_1001_1 + 1/3, c_0110_9^2 - c_0110_9*c_1001_1 + c_0110_9 + 5, c_1001_1^2 + c_1001_1 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_8, c_0110_10, c_0110_11, c_0110_9, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1718/289*c_1001_1^5 - 1251/578*c_1001_1^4 - 386/289*c_1001_1^3 + 15031/1156*c_1001_1^2 - 2415/1156*c_1001_1 - 2911/578, c_0011_0 - 1, c_0011_10 + 2*c_1001_1^5 + 2*c_1001_1^4 + c_1001_1^3 - 4*c_1001_1^2 - 2*c_1001_1 + 2, c_0011_3 - 1, c_0011_4 - 6*c_1001_1^5 - 2*c_1001_1^4 - c_1001_1^3 + 14*c_1001_1^2 - 2*c_1001_1 - 5, c_0011_5 - 6*c_1001_1^5 - 2*c_1001_1^4 - c_1001_1^3 + 14*c_1001_1^2 - 2*c_1001_1 - 6, c_0101_0 + 12*c_1001_1^5 + 6*c_1001_1^4 + 4*c_1001_1^3 - 25*c_1001_1^2 + 3*c_1001_1 + 10, c_0101_1 - 6*c_1001_1^5 - 2*c_1001_1^4 - c_1001_1^3 + 14*c_1001_1^2 - 2*c_1001_1 - 6, c_0101_8 + 12*c_1001_1^5 + 4*c_1001_1^4 + 2*c_1001_1^3 - 28*c_1001_1^2 + 4*c_1001_1 + 12, c_0110_10 + 8*c_1001_1^5 + 4*c_1001_1^4 + 2*c_1001_1^3 - 16*c_1001_1^2 + c_1001_1 + 8, c_0110_11 - 12*c_1001_1^5 - 6*c_1001_1^4 - 4*c_1001_1^3 + 25*c_1001_1^2 - 2*c_1001_1 - 10, c_0110_9 - 12*c_1001_1^5 - 6*c_1001_1^4 - 4*c_1001_1^3 + 25*c_1001_1^2 - 3*c_1001_1 - 10, c_1001_1^6 + c_1001_1^5 + 1/2*c_1001_1^4 - 2*c_1001_1^3 - c_1001_1^2 + c_1001_1 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB