Magma V2.19-8 Wed Aug 21 2013 01:08:40 on localhost [Seed = 1074157853] Type ? for help. Type -D to quit. Loading file "L14n4143__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n4143 geometric_solution 12.26346635 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 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 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 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 1.181026617049 1.037905765015 0 5 5 6 0132 0132 1302 0132 1 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 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 0 0 0 0 0 0 0 0 0 0 0 0.544504772567 0.839705041936 4 0 8 7 0213 0132 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.692932036868 0.902268439379 9 9 9 0 0132 1302 3012 0132 1 1 1 0 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 -1 0 1 1 0 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 0.468529414462 0.593779224665 2 10 0 11 0213 0132 0132 0132 1 1 1 1 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 1 -1 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.188969527656 0.882532759080 1 1 8 10 2031 0132 2103 2310 1 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 0 0 0 0 0 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 0.456359618250 0.838372026389 9 11 1 7 2103 2310 0132 2031 1 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 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 0.212462078433 0.625425930468 10 6 2 12 2031 1302 0132 0132 1 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 0 0 0 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 0.766788620883 0.485155727239 5 11 12 2 2103 3120 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 1 -1 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.093591700044 1.028029118571 3 3 6 3 0132 1230 2103 2031 1 1 0 1 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 -1 0 0 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 0.836915751075 0.935034222600 5 4 7 11 3201 0132 1302 3120 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 -1 0 0 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 -0.185140106850 0.812429236974 10 8 4 6 3120 3120 0132 3201 1 1 1 1 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 -1 0 1 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 0.755810675412 1.704829836204 12 8 7 12 3012 3201 0132 1230 1 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 0 0 0 0 0 0 0 0 0 0 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 0.397510646906 0.826747532008 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : negation(d['c_0101_5']), 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : negation(d['c_0011_11']), 'c_1001_7' : d['c_0110_6'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_0011_7'], 'c_1001_0' : d['c_0110_6'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : negation(d['c_0011_11']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0101_12']), 'c_1010_12' : d['c_0101_12'], 'c_1010_11' : negation(d['c_0011_8']), 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_7']), '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' : negation(d['1']), 's_2_7' : negation(d['1']), 's_2_12' : 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_1100_8' : d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : negation(d['c_0011_6']), 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : d['c_0011_12'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_6']), 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0011_7'], 'c_1010_5' : d['c_0011_7'], 'c_1010_4' : d['c_0101_12'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : negation(d['c_0011_11']), 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : negation(d['c_0011_11']), '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' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_12'], 's_1_7' : negation(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' : d['1'], 's_1_0' : negation(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' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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_0110_11' : negation(d['c_0011_7']), 'c_0110_10' : negation(d['c_0011_7']), 'c_0110_12' : d['c_0011_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_5'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_3'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : d['c_0011_7'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0110_6'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_11, c_0101_12, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 1 Groebner basis: [ t + 256/45, c_0011_0 - 1, c_0011_10 - 1/2, c_0011_11 + 1/2, c_0011_12 - 1/2, c_0011_3 - 1, c_0011_6 + 3/2, c_0011_7 - 1/2, c_0011_8 + 5/2, c_0101_0 + 2, c_0101_11 + 1/2, c_0101_12 - 1, c_0101_5 + 3/2, c_0110_6 + 1/2 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_11, c_0101_12, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 123715/9394*c_0110_6^3 + 4394/231*c_0110_6^2 + 1301609/112728*c_0110_6 - 1433695/225456, c_0011_0 - 1, c_0011_10 - c_0110_6 - 1, c_0011_11 + c_0110_6 + 1, c_0011_12 - 1/2, c_0011_3 - 1, c_0011_6 + c_0110_6 + 2, c_0011_7 + 2*c_0110_6^2 + 3*c_0110_6 + 2, c_0011_8 + 8*c_0110_6^3 + 14*c_0110_6^2 + 11*c_0110_6 + 1, c_0101_0 + 2, c_0101_11 - 2*c_0110_6^3 - 4*c_0110_6^2 - 7/2*c_0110_6 - 5/4, c_0101_12 - 2*c_0110_6^2 - 4*c_0110_6 - 5/2, c_0101_5 + 8*c_0110_6^3 + 18*c_0110_6^2 + 17*c_0110_6 + 5, c_0110_6^4 + 3*c_0110_6^3 + 17/4*c_0110_6^2 + 23/8*c_0110_6 + 7/8 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_11, c_0101_12, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 11442176/9061*c_0110_6^3 - 27113472/9061*c_0110_6^2 + 27466240/9061*c_0110_6 - 8096512/9061, c_0011_0 - 1, c_0011_10 + c_0110_6 - 1, c_0011_11 - c_0110_6 + 1, c_0011_12 + 1/2, c_0011_3 - 1, c_0011_6 + c_0110_6 - 2, c_0011_7 - 4*c_0110_6^3 + 10*c_0110_6^2 - 10*c_0110_6 + 7/2, c_0011_8 - 4*c_0110_6^3 + 10*c_0110_6^2 - 10*c_0110_6 + 7/2, c_0101_0 - 2, c_0101_11 - 8*c_0110_6^3 + 20*c_0110_6^2 - 21*c_0110_6 + 8, c_0101_12 + 2*c_0110_6^2 - 4*c_0110_6 + 5/2, c_0101_5 + 4*c_0110_6^3 - 10*c_0110_6^2 + 10*c_0110_6 - 7/2, c_0110_6^4 - 7/2*c_0110_6^3 + 21/4*c_0110_6^2 - 15/4*c_0110_6 + 17/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.410 Total time: 0.620 seconds, Total memory usage: 32.09MB