Magma V2.19-8 Tue Aug 20 2013 16:14:13 on localhost [Seed = 2176851374] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s187 geometric_solution 4.29304769 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 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 -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 1.646696580862 0.155391031818 0 2 2 0 3201 0132 1023 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 1 -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 1.486781488808 0.493152533975 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.122300454824 0.569935263046 2 5 4 5 0132 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 1 -1 -1 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506585627013 1.028804175925 3 5 2 5 2031 3201 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.506585627013 1.028804175925 4 3 4 3 3201 0132 2310 1023 0 0 0 0 0 0 -1 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 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 0.454101388872 0.312827714541 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0101_2'], '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_4, c_0101_0, c_0101_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 663555/633808*c_0110_5^7 + 165717/90544*c_0110_5^6 + 2383695/633808*c_0110_5^5 + 6398005/316904*c_0110_5^4 - 29765437/633808*c_0110_5^3 - 7173563/316904*c_0110_5^2 + 1340623/79226*c_0110_5 + 490094/39613, c_0011_0 - 1, c_0011_1 + 497/11318*c_0110_5^7 - 847/11318*c_0110_5^6 - 745/5659*c_0110_5^5 - 9805/11318*c_0110_5^4 + 10877/5659*c_0110_5^3 + 2210/5659*c_0110_5^2 - 7337/11318*c_0110_5 - 666/5659, c_0011_4 + 1657/45272*c_0110_5^7 - 911/45272*c_0110_5^6 - 6687/45272*c_0110_5^5 - 4805/5659*c_0110_5^4 + 25195/45272*c_0110_5^3 + 8281/5659*c_0110_5^2 + 1169/11318*c_0110_5 - 2895/5659, c_0101_0 - 335/45272*c_0101_2*c_0110_5^7 + 2165/45272*c_0101_2*c_0110_5^6 - 2719/45272*c_0101_2*c_0110_5^5 + 244/5659*c_0101_2*c_0110_5^4 - 37265/45272*c_0101_2*c_0110_5^3 + 21709/11318*c_0101_2*c_0110_5^2 + 167/5659*c_0101_2*c_0110_5 - 13762/5659*c_0101_2, c_0101_2^2 - 373/45272*c_0110_5^7 - 799/45272*c_0110_5^6 + 993/45272*c_0110_5^5 + 6543/22636*c_0110_5^4 + 14929/45272*c_0110_5^3 - 12487/22636*c_0110_5^2 - 3733/11318*c_0110_5 - 1657/5659, c_0110_5^8 - c_0110_5^7 - 5*c_0110_5^6 - 22*c_0110_5^5 + 31*c_0110_5^4 + 58*c_0110_5^3 - 32*c_0110_5 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB