Magma V2.19-8 Tue Aug 20 2013 23:58:17 on localhost [Seed = 1225728496] Type ? for help. Type -D to quit. Loading file "L14n39129__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n39129 geometric_solution 11.76597061 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 0 0 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 0 0 0 0 0 0 0 0 1 4 -5 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 0.262621153299 1.020122489292 0 5 6 3 0132 0132 0132 1302 0 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 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 0.763323291473 0.919344196106 7 0 5 8 0132 0132 0132 0132 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 0 0 0 0 -1 1 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 0.326235812219 0.673301694658 8 9 1 0 1023 0132 2031 0132 0 0 0 0 0 1 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 0 4 0 -4 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.064689780623 0.756983071590 10 6 0 5 0132 0132 0132 3012 0 0 1 1 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 0 0 0 0 0 0 5 -5 0 0 1 -1 6 -6 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.513344959235 0.960563129260 11 1 4 2 0132 0132 1230 0132 0 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 0 1 -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 0.419705813193 0.828418274793 7 4 9 1 3012 0132 0321 0132 0 0 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 -7 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.742608976168 0.742099225797 2 11 10 6 0132 0132 1230 1230 0 1 1 0 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 0 0 0 0 0 0 0 -1 -6 0 7 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.985281229154 0.968651203532 11 3 2 9 3120 1023 0132 2103 0 1 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 1 0 0 -1 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568847949635 1.182062779242 10 3 6 8 2310 0132 0321 2103 0 1 0 0 0 -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 -4 0 4 0 0 -1 1 0 0 0 0 5 -4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568847949635 1.182062779242 4 11 9 7 0132 0213 3201 3012 0 0 1 1 0 0 -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 -5 5 0 0 0 0 1 -1 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671900511657 0.799649570060 5 7 10 8 0132 0132 0213 3120 0 1 0 1 0 0 0 0 0 0 0 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 0 0 1 -1 5 -5 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.384080268002 0.733025113597 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_6'], 'c_1001_10' : d['c_0101_6'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : d['c_0101_3'], 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : negation(d['c_0101_7']), 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(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_0101_5']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_1001_5']), 'c_1100_3' : negation(d['c_1001_5']), 'c_1100_2' : d['c_0101_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : d['c_0011_3'], 's_3_10' : negation(d['1']), 'c_1010_7' : d['c_0101_6'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0101_0']), 'c_1010_8' : d['c_0101_0'], 'c_1100_8' : d['c_0101_10'], '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' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_3'], '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_10'], '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_0101_1'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_6']), 'c_0101_8' : d['c_0101_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_1']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_0101_6, c_0101_7, c_1001_1, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 6831/12064*c_1001_5^5 + 59665/12064*c_1001_5^4 + 153695/12064*c_1001_5^3 - 4513/3016*c_1001_5^2 - 56583/1508*c_1001_5 - 581/32, c_0011_0 - 1, c_0011_10 + 5/13*c_1001_5^5 + 35/13*c_1001_5^4 + 46/13*c_1001_5^3 - 144/13*c_1001_5^2 - 200/13*c_1001_5 + 283/13, c_0011_3 - 3/13*c_1001_5^5 - 2*c_1001_5^4 - 75/13*c_1001_5^3 - 42/13*c_1001_5^2 + 118/13*c_1001_5 + 84/13, c_0101_0 - 1, c_0101_1 + 1, c_0101_10 + 2/13*c_1001_5^5 + 14/13*c_1001_5^4 + 21/13*c_1001_5^3 - 42/13*c_1001_5^2 - 67/13*c_1001_5 + 69/13, c_0101_3 - 2/13*c_1001_5^5 - 16/13*c_1001_5^4 - 41/13*c_1001_5^3 - c_1001_5^2 + 74/13*c_1001_5 + 45/13, c_0101_5 + 2/13*c_1001_5^5 + 14/13*c_1001_5^4 + 21/13*c_1001_5^3 - 42/13*c_1001_5^2 - 67/13*c_1001_5 + 69/13, c_0101_6 - 1/13*c_1001_5^5 - 8/13*c_1001_5^4 - 14/13*c_1001_5^3 + 2*c_1001_5^2 + 50/13*c_1001_5 - 62/13, c_0101_7 - 1/13*c_1001_5^5 - 8/13*c_1001_5^4 - 14/13*c_1001_5^3 + 2*c_1001_5^2 + 50/13*c_1001_5 - 62/13, c_1001_1 + 2/13*c_1001_5^5 + 16/13*c_1001_5^4 + 41/13*c_1001_5^3 + c_1001_5^2 - 61/13*c_1001_5 - 45/13, c_1001_5^6 + 8*c_1001_5^5 + 16*c_1001_5^4 - 19*c_1001_5^3 - 60*c_1001_5^2 + 29*c_1001_5 + 29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB