Magma V2.19-8 Tue Aug 20 2013 16:14:52 on localhost [Seed = 2328565474] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s850 geometric_solution 5.46892046 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 2 0132 0132 0132 1023 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 0 0 0 1 1 -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 0 0 0 0.961606556549 0.597333770244 0 4 3 5 0132 0132 3012 0132 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 1 -1 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 0.636314631384 0.870118094732 5 0 3 0 0321 0132 3201 1023 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 -1 1 0 -1 0 -1 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 0.961606556549 0.597333770244 2 1 5 0 2310 1230 0213 0132 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 0 0 0 0 1 -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 0.937081423797 0.491270497977 4 1 5 4 3201 0132 1230 2310 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 0 0 0 0 0 0 0 0 0 -1 0 1 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 -0.061871898533 0.817140603062 2 3 1 4 0321 0213 0132 3012 0 0 0 0 0 -1 0 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 -1 0 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 0.408923538511 0.978350521975 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], '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_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_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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_1001_5' : d['c_1001_3'], 'c_1001_4' : d['c_1001_3'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_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' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0011_3'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : negation(d['c_0011_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 1212528/2173525*c_1001_3^9 - 7920448/2173525*c_1001_3^8 + 5373696/2173525*c_1001_3^7 + 4652448/2173525*c_1001_3^6 - 34856091/2173525*c_1001_3^5 + 12547476/2173525*c_1001_3^4 - 4047383/2173525*c_1001_3^3 - 2016079/434705*c_1001_3^2 - 766023/434705*c_1001_3 + 6226912/2173525, c_0011_0 - 1, c_0011_3 - 97176/434705*c_1001_3^9 + 149724/434705*c_1001_3^8 - 104674/434705*c_1001_3^7 - 423879/434705*c_1001_3^6 + 566024/434705*c_1001_3^5 - 497039/434705*c_1001_3^4 - 165782/434705*c_1001_3^3 + 383646/434705*c_1001_3^2 - 187273/434705*c_1001_3 - 54066/86941, c_0011_5 - 79948/434705*c_1001_3^9 - 222308/434705*c_1001_3^8 + 256723/434705*c_1001_3^7 - 306377/434705*c_1001_3^6 - 1190548/434705*c_1001_3^5 + 672438/434705*c_1001_3^4 + 201009/434705*c_1001_3^3 - 314042/434705*c_1001_3^2 + 490506/434705*c_1001_3 + 71190/86941, c_0101_0 + 255496/434705*c_1001_3^9 - 394944/434705*c_1001_3^8 - 93826/434705*c_1001_3^7 + 1303744/434705*c_1001_3^6 - 1545884/434705*c_1001_3^5 - 811701/434705*c_1001_3^4 + 387062/434705*c_1001_3^3 - 1062366/434705*c_1001_3^2 - 1023487/434705*c_1001_3 + 56992/86941, c_0101_1 - 79948/434705*c_1001_3^9 - 222308/434705*c_1001_3^8 + 256723/434705*c_1001_3^7 - 306377/434705*c_1001_3^6 - 1190548/434705*c_1001_3^5 + 672438/434705*c_1001_3^4 + 201009/434705*c_1001_3^3 - 314042/434705*c_1001_3^2 + 490506/434705*c_1001_3 + 71190/86941, c_1001_3^10 - c_1001_3^9 + 3/4*c_1001_3^8 + 19/4*c_1001_3^7 - 13/4*c_1001_3^6 + 13/4*c_1001_3^5 + 11/4*c_1001_3^4 - 5/4*c_1001_3^3 + 3/2*c_1001_3 - 5/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB