Magma V2.19-8 Wed Aug 21 2013 01:12:03 on localhost [Seed = 660683067] Type ? for help. Type -D to quit. Loading file "L14n58469__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n58469 geometric_solution 12.41987226 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 2 1 1 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 0 1 -1 -1 0 0 1 -1 4 0 -3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.619022812966 1.051584125405 0 5 6 4 0132 0132 0132 2031 0 2 1 1 0 -1 1 0 -1 0 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 3 -2 -1 1 0 -2 1 0 -3 0 3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.503994988563 0.792121636438 7 0 3 8 0132 0132 1302 0132 2 0 1 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 -1 0 0 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.503994988563 0.792121636438 2 9 6 0 2031 0132 3120 0132 2 2 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 1 0 -1 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 0.308291979960 1.168784437543 10 1 0 8 0132 1302 0132 0213 2 2 0 1 0 0 0 0 0 0 1 -1 -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 0 0 -1 1 2 1 0 -3 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.308291979960 1.168784437543 11 1 12 7 0132 0132 0132 0132 0 0 1 1 0 1 0 -1 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 -3 0 3 -3 0 0 3 0 1 0 -1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.961764608109 1.047699182395 8 9 3 1 1230 1230 3120 0132 0 2 1 2 0 1 0 -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 0 0 0 0 0 -2 0 2 -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 0 0 0 0.654819351810 1.289869692692 2 12 5 11 0132 1023 0132 1023 0 0 1 1 0 0 1 -1 -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 -3 3 3 0 -3 0 -3 0 0 3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.961764608109 1.047699182395 10 6 2 4 3012 3012 0132 0213 2 0 2 1 0 0 0 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 0 0 0 0 0 -3 3 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.654819351810 1.289869692692 12 3 6 10 2103 0132 3012 1302 2 0 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 0 0 0 0 0 0 0 -1 0 1 0 0 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 0.480882304054 0.523849591197 4 11 9 8 0132 1230 2031 1230 0 2 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 0 0 0 0 0 -1 1 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480882304054 0.523849591197 5 12 10 7 0132 0132 3012 1023 0 0 1 1 0 0 0 0 -1 0 0 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 0 0 0 0 3 0 0 -3 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477216575968 0.481566531416 7 11 9 5 1023 0132 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477216575968 0.481566531416 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0110_9']), 'c_1001_12' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_0101_12'], 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_0101_12'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : negation(d['c_0011_6']), 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : d['c_0101_11'], 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : 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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0110_9']), 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : negation(d['c_0110_9']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_9'], 'c_1100_10' : negation(d['c_0101_10']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_5'], 'c_1010_6' : d['c_0101_12'], 'c_1010_5' : d['c_0101_12'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : negation(d['c_0101_6']), 'c_1100_8' : d['c_0101_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : 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'], 'c_1100_12' : negation(d['c_0110_9']), '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' : 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' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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' : d['c_0101_5'], 'c_0110_10' : d['c_0011_8'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_8'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0011_8'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_12'], 'c_0101_8' : d['c_0101_11'], 's_1_12' : negation(d['1']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_8'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_8']})} 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_3, c_0011_6, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_3, c_0101_5, c_0101_6, c_0110_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 90779/94208*c_0110_9^6 - 172223/11776*c_0110_9^5 + 3344553/47104*c_0110_9^4 - 2582421/23552*c_0110_9^3 - 4275897/94208*c_0110_9^2 + 11057481/94208*c_0110_9 - 279505/23552, c_0011_0 - 1, c_0011_10 - 804/1219*c_0110_9^6 + 11979/1219*c_0110_9^5 - 55990/1219*c_0110_9^4 + 77012/1219*c_0110_9^3 + 54022/1219*c_0110_9^2 - 71542/1219*c_0110_9 - 23741/1219, c_0011_3 + 804/1219*c_0110_9^6 - 11979/1219*c_0110_9^5 + 55990/1219*c_0110_9^4 - 77012/1219*c_0110_9^3 - 54022/1219*c_0110_9^2 + 71542/1219*c_0110_9 + 23741/1219, c_0011_6 + 2917/9752*c_0110_9^6 - 10921/2438*c_0110_9^5 + 103217/4876*c_0110_9^4 - 36919/1219*c_0110_9^3 - 168455/9752*c_0110_9^2 + 257855/9752*c_0110_9 + 7972/1219, c_0011_8 - 2917/9752*c_0110_9^6 + 10921/2438*c_0110_9^5 - 103217/4876*c_0110_9^4 + 36919/1219*c_0110_9^3 + 168455/9752*c_0110_9^2 - 257855/9752*c_0110_9 - 7972/1219, c_0101_0 - 1, c_0101_10 + 675/4876*c_0110_9^6 - 5099/2438*c_0110_9^5 + 24463/2438*c_0110_9^4 - 36285/2438*c_0110_9^3 - 35575/4876*c_0110_9^2 + 62947/4876*c_0110_9 + 4038/1219, c_0101_11 + 1, c_0101_12 - 1, c_0101_3 - 4865/9752*c_0110_9^6 + 9068/1219*c_0110_9^5 - 169669/4876*c_0110_9^4 + 116471/2438*c_0110_9^3 + 334871/9752*c_0110_9^2 - 440375/9752*c_0110_9 - 17369/1219, c_0101_5 + 804/1219*c_0110_9^6 - 11979/1219*c_0110_9^5 + 55990/1219*c_0110_9^4 - 77012/1219*c_0110_9^3 - 54022/1219*c_0110_9^2 + 70323/1219*c_0110_9 + 23741/1219, c_0101_6 + 9157/19504*c_0110_9^6 - 34273/4876*c_0110_9^5 + 323621/9752*c_0110_9^4 - 115089/2438*c_0110_9^3 - 553671/19504*c_0110_9^2 + 842799/19504*c_0110_9 + 27693/2438, c_0110_9^7 - 16*c_0110_9^6 + 86*c_0110_9^5 - 172*c_0110_9^4 + 37*c_0110_9^3 + 163*c_0110_9^2 - 68*c_0110_9 - 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB