Magma V2.19-8 Tue Aug 20 2013 23:47:18 on localhost [Seed = 459108698] Type ? for help. Type -D to quit. Loading file "L10a101__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a101 geometric_solution 10.46230773 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 2103 0132 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 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 0.371395008179 0.427124767552 0 2 4 3 0132 1302 0132 2103 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 0 0 0 0 0 0 0 0 0 0 0 1 3 -4 -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 0.637618916786 1.609676413283 0 0 5 1 2103 0132 0132 2031 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 0 0 0 0 0 0 0 0 0 1 0 0 -1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.159269650171 1.333224111673 6 5 0 1 0132 0213 0132 2103 0 1 1 0 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 -1 1 0 0 0 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.650234227918 1.249928338106 6 5 7 1 3120 1023 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 3 -3 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 0.229869053004 0.583316282270 4 8 3 2 1023 0132 0213 0132 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 0 0 0 0 0 0 -1 1 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 -0.584763208949 1.483896577616 3 8 9 4 0132 2031 0132 3120 0 1 0 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 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415236791051 1.483896577616 10 8 11 4 0132 1230 0132 0132 1 1 0 0 0 1 0 -1 1 0 -1 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 3 0 -3 4 0 -3 -1 1 -1 0 0 4 -3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.672446774693 0.629647042512 6 5 7 10 1302 0132 3012 2031 0 1 0 0 0 0 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 1 3 -4 0 0 -3 3 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.584763208949 1.483896577616 11 11 10 6 2103 2031 3120 0132 0 1 1 1 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 -4 0 4 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.159269650171 1.333224111673 7 8 9 11 0132 1302 3120 0321 1 1 0 0 0 -1 1 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 -3 3 0 -4 0 0 4 -4 4 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637618916786 1.609676413283 9 10 9 7 1302 0321 2103 0132 1 1 0 1 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 0 0 0 -3 0 0 3 -1 0 0 1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.088343097828 0.739507796987 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_0011_10'], 'c_1010_11' : d['c_1001_7'], 'c_1010_10' : d['c_1001_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_9']), 'c_0101_10' : d['c_0101_10'], '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' : 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_1010_1']), 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_1010_1']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_6']), 'c_1100_10' : d['c_0011_9'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_1010_1']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_1010_1'], 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_3']), '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' : negation(d['c_0011_11']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_10'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_9']), 'c_0101_8' : d['c_0011_3'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_10'], 'c_1100_8' : negation(d['c_1001_7'])})} 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_3, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_1001_7, c_1010_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 1415/16*c_1010_1^4 - 453/16*c_1010_1^3 + 2685/16*c_1010_1^2 - 139/4*c_1010_1 - 4423/16, c_0011_0 - 1, c_0011_10 + c_1010_1 - 1, c_0011_11 + 1, c_0011_3 - c_1010_1^3 + c_1010_1 - 1, c_0011_4 - c_1010_1^3 + c_1010_1^2 + c_1010_1 - 1, c_0011_9 + c_1010_1 + 1, c_0101_0 - 1, c_0101_1 - c_1010_1, c_0101_10 + c_1010_1, c_0101_6 + c_1010_1^2 - 1, c_1001_7 + c_1010_1, c_1010_1^5 - 2*c_1010_1^3 + c_1010_1^2 + 3*c_1010_1 - 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_3, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_1001_7, c_1010_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 2861*c_1010_1^5 - 3753/2*c_1010_1^4 + 4492*c_1010_1^3 + 5895/2*c_1010_1^2 - 13299/2*c_1010_1 - 4362, c_0011_0 - 1, c_0011_10 + c_1010_1 - 1, c_0011_11 - c_1010_1^5 + c_1010_1^4 + 2*c_1010_1^3 - 2*c_1010_1^2 - 2*c_1010_1 + 2, c_0011_3 - c_1010_1^3 + c_1010_1 - 1, c_0011_4 - c_1010_1^3 + c_1010_1^2 + c_1010_1 - 1, c_0011_9 - c_1010_1 + 1, c_0101_0 - 1, c_0101_1 - c_1010_1, c_0101_10 - c_1010_1^5 + 2*c_1010_1^3 - c_1010_1^2 - 2*c_1010_1 + 1, c_0101_6 + c_1010_1^2 - 1, c_1001_7 - c_1010_1^5 + 2*c_1010_1^3 - c_1010_1^2 - 2*c_1010_1 + 1, c_1010_1^6 - 2*c_1010_1^4 + 3*c_1010_1^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.310 seconds, Total memory usage: 32.09MB