Magma V2.19-8 Tue Aug 20 2013 16:08:59 on localhost [Seed = 3018992910] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m256 geometric_solution 4.24813479 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 0 0 1 0132 3201 2310 1023 0 0 0 0 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 0 0 0 1 0 -1 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 1.193562027676 0.273724836084 0 2 3 0 0132 0132 0132 1023 0 0 0 0 0 0 -1 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 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 0 0 0 0.985484662196 0.443394124874 3 1 3 4 2103 0132 1302 0132 0 0 0 0 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 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 0.620566083769 0.687487838639 2 4 2 1 2031 1023 2103 0132 0 0 0 0 0 -1 0 1 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 -1 0 1 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 0.620566083769 0.687487838639 3 4 2 4 1023 2310 0132 3201 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 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 0.276511778811 0.801509084167 ==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' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_3'], '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_4' : d['c_0110_4'], 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_0'], 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : d['c_0110_4'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_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_3, c_0101_0, c_0101_1, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 2*c_0110_4^11 + 6*c_0110_4^10 + 2*c_0110_4^9 - 18*c_0110_4^8 + 12*c_0110_4^7 + 3*c_0110_4^6 - 10*c_0110_4^5 + 13*c_0110_4^4 - 9*c_0110_4^3 + 4*c_0110_4^2 - c_0110_4 + 1, c_0011_0 - 1, c_0011_3 + c_0110_4^11 - 2*c_0110_4^10 - 4*c_0110_4^9 + 8*c_0110_4^8 + 3*c_0110_4^7 - 8*c_0110_4^6 + 4*c_0110_4^5 - 3*c_0110_4^3 + 2*c_0110_4^2 - c_0110_4, c_0101_0 - c_0110_4^12 + 3*c_0110_4^11 + c_0110_4^10 - 10*c_0110_4^9 + 9*c_0110_4^8 + 2*c_0110_4^7 - 13*c_0110_4^6 + 14*c_0110_4^5 - 6*c_0110_4^4 - 4*c_0110_4^3 + 8*c_0110_4^2 - 5*c_0110_4 + 2, c_0101_1 - c_0110_4^12 + 3*c_0110_4^11 + 2*c_0110_4^10 - 12*c_0110_4^9 + 5*c_0110_4^8 + 11*c_0110_4^7 - 12*c_0110_4^6 + 4*c_0110_4^5 + 3*c_0110_4^4 - 5*c_0110_4^3 + 3*c_0110_4^2 - c_0110_4, c_0110_4^13 - 3*c_0110_4^12 - c_0110_4^11 + 10*c_0110_4^10 - 9*c_0110_4^9 - 2*c_0110_4^8 + 13*c_0110_4^7 - 14*c_0110_4^6 + 6*c_0110_4^5 + 3*c_0110_4^4 - 7*c_0110_4^3 + 6*c_0110_4^2 - 3*c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB