Magma V2.19-8 Tue Aug 20 2013 16:08:59 on localhost [Seed = 3280100734] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m250 geometric_solution 4.23229973 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 5 1 2 3 1 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.915391212815 0.469597224613 0 0 1 1 0132 2310 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.547248937434 0.405354567606 3 0 3 4 2103 0132 1302 0132 0 0 0 0 0 0 1 -1 -1 0 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 1 0 -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 0.588839228624 0.693120004749 2 4 2 0 2031 1023 2103 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588839228624 0.693120004749 3 4 2 4 1023 2310 0132 3201 0 0 0 0 0 -1 1 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 -1 1 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 0.288108106323 0.837964742735 ==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' : d['c_0101_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_4' : negation(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' : negation(d['c_0011_0']), 'c_1001_4' : d['c_0110_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0110_4'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(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' : negation(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: 12 Groebner basis: [ t + 2*c_0110_4^11 + 5*c_0110_4^10 - 6*c_0110_4^9 - 18*c_0110_4^8 + 2*c_0110_4^7 + 13*c_0110_4^6 + c_0110_4^5 + c_0110_4^4 + 4*c_0110_4^3 + 3*c_0110_4^2 + 3*c_0110_4 + 4, c_0011_0 - 1, c_0011_3 + c_0110_4^11 + 3*c_0110_4^10 - 3*c_0110_4^9 - 14*c_0110_4^8 - 2*c_0110_4^7 + 17*c_0110_4^6 + 11*c_0110_4^5 + c_0110_4^4 - 5*c_0110_4^3 - 6*c_0110_4^2 - 3*c_0110_4 - 1, c_0101_0 + c_0110_4^11 + 2*c_0110_4^10 - 5*c_0110_4^9 - 10*c_0110_4^8 + 6*c_0110_4^7 + 14*c_0110_4^6 + 3*c_0110_4^5 - 3*c_0110_4^4 - 5*c_0110_4^3 - 3*c_0110_4^2 - c_0110_4, c_0101_1 + c_0110_4^11 + 3*c_0110_4^10 - 2*c_0110_4^9 - 12*c_0110_4^8 - 6*c_0110_4^7 + 9*c_0110_4^6 + 14*c_0110_4^5 + 9*c_0110_4^4 - 2*c_0110_4^3 - 7*c_0110_4^2 - 5*c_0110_4 - 2, c_0110_4^12 + 3*c_0110_4^11 - 2*c_0110_4^10 - 12*c_0110_4^9 - 6*c_0110_4^8 + 9*c_0110_4^7 + 14*c_0110_4^6 + 9*c_0110_4^5 - c_0110_4^4 - 6*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