Magma V2.19-8 Tue Aug 20 2013 16:09:00 on localhost [Seed = 442205345] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m277 geometric_solution 4.32771057 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 1 2 3 0132 2103 0132 0132 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 0 1 -1 -1 0 0 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 0.780991128241 1.166081930939 0 0 2 3 0132 2103 3201 2310 0 0 0 0 0 0 0 0 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 0 0 0 1 0 -1 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.780991128241 1.166081930939 1 2 2 0 2310 3201 2310 0132 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 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 0 0 0 0.258687897621 1.058307003902 1 4 0 4 3201 0132 0132 2310 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 1 -1 1 0 -1 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 0.732547722294 0.539469422485 3 3 4 4 3201 0132 1230 3012 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477952281683 0.196592650466 ==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' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : negation(d['c_0011_0']), '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' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_0'], 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : negation(d['c_0101_4'])})} 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_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 157/11*c_0110_4^9 + 175/11*c_0110_4^8 - 1017/11*c_0110_4^7 + 251/11*c_0110_4^6 + 713/11*c_0110_4^5 - 186/11*c_0110_4^4 - 413/11*c_0110_4^3 - 336/11*c_0110_4^2 + 292/11*c_0110_4 + 83/11, c_0011_0 - 1, c_0011_2 - 28/11*c_0110_4^9 - 42/11*c_0110_4^8 + 164/11*c_0110_4^7 + 15/11*c_0110_4^6 - 117/11*c_0110_4^5 - 2/11*c_0110_4^4 + 67/11*c_0110_4^3 + 78/11*c_0110_4^2 - 12/11*c_0110_4 - 23/11, c_0101_0 - 72/11*c_0110_4^9 - 130/11*c_0110_4^8 + 406/11*c_0110_4^7 + 191/11*c_0110_4^6 - 392/11*c_0110_4^5 - 90/11*c_0110_4^4 + 243/11*c_0110_4^3 + 265/11*c_0110_4^2 - 34/11*c_0110_4 - 111/11, c_0101_4 - 39/11*c_0110_4^9 - 64/11*c_0110_4^8 + 230/11*c_0110_4^7 + 70/11*c_0110_4^6 - 216/11*c_0110_4^5 - 46/11*c_0110_4^4 + 144/11*c_0110_4^3 + 133/11*c_0110_4^2 - 34/11*c_0110_4 - 56/11, c_0110_4^10 + c_0110_4^9 - 7*c_0110_4^8 + 2*c_0110_4^7 + 7*c_0110_4^6 - 3*c_0110_4^5 - 4*c_0110_4^4 - c_0110_4^3 + 3*c_0110_4^2 + c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB