Magma V2.19-8 Tue Aug 20 2013 16:08:57 on localhost [Seed = 997893507] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m210 geometric_solution 4.08108850 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 5 1 1 2 2 0132 3201 0132 3201 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 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 0.349308178109 0.248495458993 0 3 0 4 0132 0132 2310 0132 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 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 0.749862480653 1.103741589035 3 0 3 0 0213 2310 3120 0132 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.900829341238 1.352237048028 2 1 2 4 0213 0132 3120 1023 0 0 0 0 0 0 1 -1 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 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 0.749862480653 1.103741589035 4 4 1 3 1302 2031 0132 1023 0 0 0 0 0 0 0 0 -1 0 0 1 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 -1 0 0 1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.700594646003 1.566961830574 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_4' : 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_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : d['c_0110_4'], 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : negation(d['c_0110_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_0011_4, c_0101_1, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 33/17*c_0110_4^6 - 12/17*c_0110_4^5 - 22/17*c_0110_4^4 + 4/17*c_0110_4^3 - 79/17*c_0110_4^2 + 71/17*c_0110_4 - 36/17, c_0011_0 - 1, c_0011_2 - 18/17*c_0110_4^6 + 39/17*c_0110_4^5 - 39/17*c_0110_4^4 + 4/17*c_0110_4^3 + 23/17*c_0110_4^2 - 31/17*c_0110_4 + 32/17, c_0011_4 - 33/17*c_0110_4^6 + 63/17*c_0110_4^5 - 29/17*c_0110_4^4 + 13/17*c_0110_4^3 + 28/17*c_0110_4^2 - 54/17*c_0110_4 + 36/17, c_0101_1 + 18/17*c_0110_4^6 - 39/17*c_0110_4^5 + 39/17*c_0110_4^4 - 4/17*c_0110_4^3 - 23/17*c_0110_4^2 + 31/17*c_0110_4 - 32/17, c_0110_4^7 - 2*c_0110_4^6 + 4/3*c_0110_4^5 - 1/3*c_0110_4^4 - c_0110_4^3 + 5/3*c_0110_4^2 - 4/3*c_0110_4 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB