Magma V2.19-8 Tue Aug 20 2013 16:14:12 on localhost [Seed = 1014865938] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s169 geometric_solution 4.25957200 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 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 -1 0 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 0.776665140505 0.751187216301 3 2 2 0 0132 3012 1230 0132 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 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 1.071797071646 0.750497653885 1 3 0 1 1230 3201 0132 3012 0 0 0 0 0 -1 0 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 -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 1.071797071646 0.750497653885 1 4 2 4 0132 0132 2310 2310 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 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 1.220274472177 0.493680209246 3 3 5 5 3201 0132 3201 0132 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 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 0 0 0.461204323136 0.297571362594 4 5 4 5 2310 2310 0132 3201 0 0 0 0 0 0 -1 1 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 -1 1 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 -1.294768854310 0.381443394554 ==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' : 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' : 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_5']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0011_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_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_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_5, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - c_0101_5^2 - 4*c_0101_5 - 4, c_0011_0 - 1, c_0011_1 - c_0101_5, c_0011_5 - c_0101_5^2 - c_0101_5 + 1, c_0101_0 + c_0101_5^2 + c_0101_5 - 1, c_0101_1 + 1, c_0101_5^3 + 2*c_0101_5^2 - c_0101_5 - 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 916785917/35114917*c_0101_5^8 + 7839037134/175574585*c_0101_5^7 + 2237970794/35114917*c_0101_5^6 - 46588069758/175574585*c_0101_5^5 + 339681296803/175574585*c_0101_5^4 + 233300330223/175574585*c_0101_5^3 - 122915651799/175574585*c_0101_5^2 + 14281198501/175574585*c_0101_5 + 62102822418/175574585, c_0011_0 - 1, c_0011_1 - 841284/35114917*c_0101_5^8 + 4546296/35114917*c_0101_5^7 - 4437646/35114917*c_0101_5^6 - 13016893/35114917*c_0101_5^5 + 94401642/35114917*c_0101_5^4 - 201057122/35114917*c_0101_5^3 - 76539490/35114917*c_0101_5^2 + 68297876/35114917*c_0101_5 - 25194814/35114917, c_0011_5 - 171346/35114917*c_0101_5^8 + 2013856/35114917*c_0101_5^7 - 3390006/35114917*c_0101_5^6 - 4175426/35114917*c_0101_5^5 + 31223454/35114917*c_0101_5^4 - 123279371/35114917*c_0101_5^3 - 29758067/35114917*c_0101_5^2 + 56142898/35114917*c_0101_5 - 3706319/35114917, c_0101_0 + 4162126/35114917*c_0101_5^8 - 7061627/35114917*c_0101_5^7 - 9455518/35114917*c_0101_5^6 + 40093191/35114917*c_0101_5^5 - 308054853/35114917*c_0101_5^4 - 207108974/35114917*c_0101_5^3 + 40266069/35114917*c_0101_5^2 + 20446115/35114917*c_0101_5 - 24095271/35114917, c_0101_1 - 1308311/35114917*c_0101_5^8 + 2158017/35114917*c_0101_5^7 + 3155029/35114917*c_0101_5^6 - 12889218/35114917*c_0101_5^5 + 97701250/35114917*c_0101_5^4 + 71048393/35114917*c_0101_5^3 - 15626876/35114917*c_0101_5^2 + 10177348/35114917*c_0101_5 - 9391174/35114917, c_0101_5^9 - 2*c_0101_5^8 - 2*c_0101_5^7 + 11*c_0101_5^6 - 77*c_0101_5^5 - 30*c_0101_5^4 + 46*c_0101_5^3 - 11*c_0101_5^2 - 14*c_0101_5 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB