Magma V2.19-8 Tue Aug 20 2013 16:14:38 on localhost [Seed = 71669762] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s614 geometric_solution 5.09713952 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 3201 2031 1302 0 0 0 0 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 0 1 -1 -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 0.554348963897 0.171570940310 0 2 0 3 0132 0132 2310 0132 0 0 0 0 0 1 -1 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 -1 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 0.841989463504 0.658512487766 4 1 5 3 0132 0132 0132 1230 0 0 0 0 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 1 0 0 -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 0.909822745031 1.006598833187 2 5 1 4 3012 1023 0132 0132 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 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 0.909822745031 1.006598833187 2 4 3 4 0132 2310 0132 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 -1 0 1 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 0.071300680706 0.902301059789 3 5 5 2 1023 1230 3012 0132 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 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 1.071300680706 0.902301059789 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_5'], '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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 80249/28036*c_0101_5^9 + 121237/28036*c_0101_5^8 - 1158123/28036*c_0101_5^7 + 570845/7009*c_0101_5^6 - 2335547/28036*c_0101_5^5 + 280527/7009*c_0101_5^4 + 234541/28036*c_0101_5^3 - 1122533/28036*c_0101_5^2 + 209045/7009*c_0101_5 - 74267/28036, c_0011_0 - 1, c_0011_3 - 427/7009*c_0101_2*c_0101_5^9 + 1057/7009*c_0101_2*c_0101_5^8 + 10315/7009*c_0101_2*c_0101_5^7 - 33526/7009*c_0101_2*c_0101_5^6 + 39149/7009*c_0101_2*c_0101_5^5 - 23890/7009*c_0101_2*c_0101_5^4 - 6265/7009*c_0101_2*c_0101_5^3 + 17328/7009*c_0101_2*c_0101_5^2 - 19584/7009*c_0101_2*c_0101_5 + 831/7009*c_0101_2, c_0101_0 + 1911/7009*c_0101_5^9 + 2853/7009*c_0101_5^8 - 28469/7009*c_0101_5^7 + 52606/7009*c_0101_5^6 - 47667/7009*c_0101_5^5 + 12928/7009*c_0101_5^4 + 18042/7009*c_0101_5^3 - 28372/7009*c_0101_5^2 + 15718/7009*c_0101_5 + 877/7009, c_0101_1 + 1310/7009*c_0101_5^9 + 2847/7009*c_0101_5^8 - 16101/7009*c_0101_5^7 + 27857/7009*c_0101_5^6 - 32797/7009*c_0101_5^5 + 26823/7009*c_0101_5^4 - 8241/7009*c_0101_5^3 - 13093/7009*c_0101_5^2 + 12759/7009*c_0101_5 - 5898/7009, c_0101_2^2 + 427/14018*c_0101_5^9 - 1057/14018*c_0101_5^8 - 10315/14018*c_0101_5^7 + 16763/7009*c_0101_5^6 - 39149/14018*c_0101_5^5 + 11945/7009*c_0101_5^4 + 6265/14018*c_0101_5^3 - 24337/14018*c_0101_5^2 + 9792/7009*c_0101_5 - 14849/14018, c_0101_5^10 + c_0101_5^9 - 15*c_0101_5^8 + 36*c_0101_5^7 - 47*c_0101_5^6 + 36*c_0101_5^5 - 11*c_0101_5^4 - 13*c_0101_5^3 + 20*c_0101_5^2 - 11*c_0101_5 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB