Magma V2.19-8 Tue Aug 20 2013 23:41:59 on localhost [Seed = 239627080] Type ? for help. Type -D to quit. Loading file "L12n649__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n649 geometric_solution 10.18294813 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 1 0 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 -2 0 2 0 0 2 -2 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642440319295 0.459621700651 0 4 6 5 0132 2103 0132 0132 1 0 0 1 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 1 -1 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400083080704 0.510478480977 7 0 8 3 0132 0132 0132 1230 0 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 0 0 0 0 0 0 0 2 0 -2 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 1.054434065174 1.355412269371 2 3 3 0 3012 1230 3012 0132 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 0 0 0 0 0 0 0 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 0.970417964869 0.736594873850 5 1 0 9 1302 2103 0132 0132 0 0 1 1 0 -1 1 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 3 -2 -1 -2 0 2 0 2 -1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.239560593898 1.314156159144 8 4 1 10 2031 2031 0132 0132 1 0 1 0 0 1 0 -1 0 0 0 0 -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 -2 0 2 0 0 0 0 1 1 0 -2 1 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.387884878518 1.393305667291 8 10 7 1 0132 0132 0132 0132 1 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 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 0.787044115170 1.049789738713 2 8 9 6 0132 3120 2031 0132 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 0 0 0 0 0 0 0 0 -1 0 1 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 0.361029387647 0.396884738656 6 7 5 2 0132 3120 1302 0132 0 0 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 0 0 0 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 0.481709852916 0.510947711350 10 10 4 7 0132 1302 0132 1302 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 0 0 0 0 1 -1 0 0 0 0 2 -2 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674640703154 0.744629222034 9 6 5 9 0132 0132 0132 2031 1 0 1 1 0 0 1 -1 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 -2 2 0 0 0 0 0 -1 0 1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.492721262852 1.127659956835 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_4'], 'c_1001_5' : negation(d['c_0101_9']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0101_9'], 'c_1001_8' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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_10' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1010_9']), 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_1010_9']), 'c_1100_6' : negation(d['c_1010_9']), 'c_1100_1' : negation(d['c_1010_9']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_1100_10' : negation(d['c_1010_9']), 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0101_9']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_1010_9'], 'c_1010_8' : negation(d['c_0011_0']), 'c_1100_8' : d['c_0101_0'], 's_3_1' : negation(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' : negation(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' : 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_10']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(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_10' : d['c_0101_9'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_5']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 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_10, c_0101_2, c_0101_3, c_0101_9, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 6/497*c_1010_9^8 - 323/497*c_1010_9^7 + 405/497*c_1010_9^6 + 430/497*c_1010_9^5 - 5/7*c_1010_9^4 + 491/497*c_1010_9^3 + 3365/497*c_1010_9^2 - 3665/497*c_1010_9 + 3726/497, c_0011_0 - 1, c_0011_10 + 11/71*c_1010_9^8 + 35/71*c_1010_9^7 + 68/71*c_1010_9^6 + 102/71*c_1010_9^5 + 2*c_1010_9^4 + 131/71*c_1010_9^3 + 75/71*c_1010_9^2 + 85/71*c_1010_9 + 86/71, c_0011_3 + 696/2627*c_1010_9^8 + 1653/2627*c_1010_9^7 + 1327/2627*c_1010_9^6 + 2310/2627*c_1010_9^5 + 66/37*c_1010_9^4 + 1150/2627*c_1010_9^3 + 621/2627*c_1010_9^2 + 4623/2627*c_1010_9 - 2588/2627, c_0011_4 + 3/71*c_1010_9^8 - 55/71*c_1010_9^7 - 117/71*c_1010_9^6 - 69/71*c_1010_9^5 - 2*c_1010_9^4 - 358/71*c_1010_9^3 - 57/71*c_1010_9^2 - 164/71*c_1010_9 - 338/71, c_0011_5 - 9/71*c_1010_9^8 - 48/71*c_1010_9^7 - 75/71*c_1010_9^6 - 77/71*c_1010_9^5 - 2*c_1010_9^4 - 204/71*c_1010_9^3 - 42/71*c_1010_9^2 - 76/71*c_1010_9 - 193/71, c_0101_0 - 1, c_0101_10 + 36/71*c_1010_9^8 + 50/71*c_1010_9^7 + 16/71*c_1010_9^6 + 95/71*c_1010_9^5 + 3*c_1010_9^4 - 36/71*c_1010_9^3 + 97/71*c_1010_9^2 + 162/71*c_1010_9 - 80/71, c_0101_2 + 9/71*c_1010_9^8 + 48/71*c_1010_9^7 + 75/71*c_1010_9^6 + 77/71*c_1010_9^5 + 2*c_1010_9^4 + 204/71*c_1010_9^3 + 42/71*c_1010_9^2 + 76/71*c_1010_9 + 193/71, c_0101_3 - 7/2627*c_1010_9^8 - 345/2627*c_1010_9^7 - 153/2627*c_1010_9^6 + 90/2627*c_1010_9^5 - 8/37*c_1010_9^4 - 774/2627*c_1010_9^3 + 843/2627*c_1010_9^2 - 2481/2627*c_1010_9 - 442/2627, c_0101_9 + 42/71*c_1010_9^8 + 82/71*c_1010_9^7 + 66/71*c_1010_9^6 + 99/71*c_1010_9^5 + 3*c_1010_9^4 + 29/71*c_1010_9^3 + 54/71*c_1010_9^2 + 118/71*c_1010_9 + 25/71, c_1010_9^9 + c_1010_9^8 + c_1010_9^7 + 4*c_1010_9^6 + 5*c_1010_9^5 - c_1010_9^4 + 9*c_1010_9^3 + 4*c_1010_9^2 - 2*c_1010_9 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB