Magma V2.19-8 Tue Aug 20 2013 16:09:02 on localhost [Seed = 1797977552] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m316 geometric_solution 4.51024980 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 5 1 1 2 3 0132 3120 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 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 1 -1 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 0.371801622819 0.716030181344 0 0 2 3 0132 3120 3201 2310 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371801622819 0.716030181344 1 2 2 0 2310 3201 2310 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 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 0.971968727699 0.999435509317 1 4 0 4 3201 0132 0132 2310 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 0.795631992485 1.082633598230 3 3 4 4 3201 0132 1230 3012 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 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 0.354652154734 0.256817377681 ==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_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_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_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0110_4'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_2'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_2'], '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_4' : negation(d['c_0110_4']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 8*c_0110_4^11 - 17*c_0110_4^10 - 91*c_0110_4^9 + 132*c_0110_4^8 + 274*c_0110_4^7 - 351*c_0110_4^6 - 312*c_0110_4^5 + 387*c_0110_4^4 + 136*c_0110_4^3 - 169*c_0110_4^2 - 24*c_0110_4 + 25, c_0011_0 - 1, c_0011_2 - c_0110_4^11 + c_0110_4^10 + 13*c_0110_4^9 - 3*c_0110_4^8 - 43*c_0110_4^7 + 4*c_0110_4^6 + 58*c_0110_4^5 - 4*c_0110_4^4 - 36*c_0110_4^3 + c_0110_4^2 + 9*c_0110_4, c_0101_0 - 7*c_0110_4^11 + 7*c_0110_4^10 + 90*c_0110_4^9 - 20*c_0110_4^8 - 288*c_0110_4^7 + 25*c_0110_4^6 + 363*c_0110_4^5 - 24*c_0110_4^4 - 194*c_0110_4^3 + 3*c_0110_4^2 + 35*c_0110_4 + 1, c_0101_2 - 13*c_0110_4^11 + 18*c_0110_4^10 + 159*c_0110_4^9 - 97*c_0110_4^8 - 483*c_0110_4^7 + 229*c_0110_4^6 + 549*c_0110_4^5 - 253*c_0110_4^4 - 238*c_0110_4^3 + 95*c_0110_4^2 + 34*c_0110_4 - 12, c_0110_4^12 - c_0110_4^11 - 13*c_0110_4^10 + 3*c_0110_4^9 + 43*c_0110_4^8 - 4*c_0110_4^7 - 58*c_0110_4^6 + 4*c_0110_4^5 + 36*c_0110_4^4 - c_0110_4^3 - 10*c_0110_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB