Magma V2.19-8 Tue Aug 20 2013 16:14:11 on localhost [Seed = 3465499369] 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' : 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_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' : negation(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' : negation(d['1']), 's_0_1' : negation(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 + 6785428/30696633*c_1001_2^9 - 16040239/10232211*c_1001_2^8 + 48040811/30696633*c_1001_2^7 + 89003477/30696633*c_1001_2^6 - 44956366/30696633*c_1001_2^5 - 1074331/30696633*c_1001_2^4 - 138426481/30696633*c_1001_2^3 - 80589772/30696633*c_1001_2^2 - 27934/10263*c_1001_2 - 29200201/30696633, c_0011_0 - 1, c_0011_2 - 206605/2790603*c_1001_2^9 + 548816/930201*c_1001_2^8 - 2444327/2790603*c_1001_2^7 - 3538031/2790603*c_1001_2^6 + 5752063/2790603*c_1001_2^5 + 2681416/2790603*c_1001_2^4 + 174292/2790603*c_1001_2^3 - 1136300/2790603*c_1001_2^2 - 541/933*c_1001_2 + 4335262/2790603, c_0011_4 + 66158/930201*c_1001_2^9 - 508387/930201*c_1001_2^8 + 216559/310067*c_1001_2^7 + 1330726/930201*c_1001_2^6 - 2001703/930201*c_1001_2^5 - 280790/310067*c_1001_2^4 + 448453/930201*c_1001_2^3 + 637586/930201*c_1001_2^2 + 146/933*c_1001_2 - 599790/310067, c_0101_0 - 80345/2790603*c_1001_2^9 + 185713/930201*c_1001_2^8 - 225097/2790603*c_1001_2^7 - 2808289/2790603*c_1001_2^6 + 1328600/2790603*c_1001_2^5 + 3747116/2790603*c_1001_2^4 + 1547060/2790603*c_1001_2^3 - 1510489/2790603*c_1001_2^2 - 1112/933*c_1001_2 + 2642198/2790603, c_0101_5 + 201329/2790603*c_1001_2^9 - 489940/930201*c_1001_2^8 + 1564318/2790603*c_1001_2^7 + 3661456/2790603*c_1001_2^6 - 4174262/2790603*c_1001_2^5 - 1616426/2790603*c_1001_2^4 - 720641/2790603*c_1001_2^3 + 1886431/2790603*c_1001_2^2 + 914/933*c_1001_2 - 5219057/2790603, c_1001_2^10 - 7*c_1001_2^9 + 5*c_1001_2^8 + 24*c_1001_2^7 - 15*c_1001_2^6 - 27*c_1001_2^5 - 6*c_1001_2^4 + 12*c_1001_2^3 + 16*c_1001_2^2 - 19*c_1001_2 - 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB