Magma V2.19-8 Tue Aug 20 2013 16:14:11 on localhost [Seed = 3263389413] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s142 geometric_solution 4.20372817 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 2 0132 2310 0132 2310 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 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 1.625149579866 1.918435335006 0 1 1 0 0132 3201 2310 3201 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 0 0 0 -0.572194883076 0.265187282995 0 3 4 0 3201 0132 0132 0132 0 0 0 0 0 -1 1 0 0 0 -1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357824583491 0.224581609030 4 2 4 5 2031 0132 2103 0132 0 0 0 0 0 1 -1 0 -1 0 0 1 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 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 0.883544998415 0.781570825142 3 5 3 2 2103 0132 1302 0132 0 0 0 0 0 0 1 -1 0 0 -1 1 1 0 0 -1 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.883544998415 0.781570825142 5 4 3 5 3201 0132 0132 2310 0 0 0 0 0 0 0 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 0 0 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 0.991637137202 0.417045622468 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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' : 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_0011_4']), 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : d['c_1001_2'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_2, c_0011_4, c_0101_0, c_0101_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 10707262/11470785*c_1001_2^9 + 11547789/3823595*c_1001_2^8 - 233897371/11470785*c_1001_2^7 + 157474127/3823595*c_1001_2^6 - 352621516/3823595*c_1001_2^5 + 343117091/3823595*c_1001_2^4 + 892368301/11470785*c_1001_2^3 - 248599842/3823595*c_1001_2^2 - 106533322/3823595*c_1001_2 - 170367793/11470785, c_0011_0 - 1, c_0011_2 + 427381/2294157*c_1001_2^9 - 281000/764719*c_1001_2^8 + 8213107/2294157*c_1001_2^7 - 2714635/764719*c_1001_2^6 + 10102447/764719*c_1001_2^5 + 962946/764719*c_1001_2^4 - 41963572/2294157*c_1001_2^3 - 1244288/764719*c_1001_2^2 + 2270431/764719*c_1001_2 + 839374/2294157, c_0011_4 - 60484/2294157*c_1001_2^9 - 47005/764719*c_1001_2^8 - 632539/2294157*c_1001_2^7 - 1298214/764719*c_1001_2^6 + 338551/764719*c_1001_2^5 - 6521830/764719*c_1001_2^4 + 5961445/2294157*c_1001_2^3 + 7960908/764719*c_1001_2^2 + 207676/764719*c_1001_2 - 2348956/2294157, c_0101_0 - 78953/2294157*c_1001_2^9 + 543941/2294157*c_1001_2^8 - 2265193/2294157*c_1001_2^7 + 8963383/2294157*c_1001_2^6 - 12691858/2294157*c_1001_2^5 + 27177610/2294157*c_1001_2^4 + 11642218/2294157*c_1001_2^3 - 35933563/2294157*c_1001_2^2 - 5859320/2294157*c_1001_2 + 1554216/764719, c_0101_5 - 120299/2294157*c_1001_2^9 + 235820/2294157*c_1001_2^8 - 2249938/2294157*c_1001_2^7 + 2163052/2294157*c_1001_2^6 - 7472146/2294157*c_1001_2^5 - 1668416/2294157*c_1001_2^4 + 15188557/2294157*c_1001_2^3 + 3167915/2294157*c_1001_2^2 - 5069906/2294157*c_1001_2 - 148203/764719, c_1001_2^10 - 3*c_1001_2^9 + 21*c_1001_2^8 - 38*c_1001_2^7 + 85*c_1001_2^6 - 55*c_1001_2^5 - 132*c_1001_2^4 + 116*c_1001_2^3 + 38*c_1001_2^2 - 37*c_1001_2 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB