Magma V2.19-8 Tue Aug 20 2013 16:08:59 on localhost [Seed = 2833856021] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m255 geometric_solution 4.24506555 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 5 1 2 2 3 0132 0132 1023 0132 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 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 -0.118257175070 0.861884948891 0 4 4 2 0132 0132 1023 2310 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 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 0.369640705426 0.622838211795 1 0 0 3 3201 0132 1023 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 0 0 0 1 0 -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 -0.118257175070 0.861884948891 3 2 0 3 3201 2310 0132 2310 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 0 0 0 0 0 0 0.156253199170 1.138808537419 4 1 1 4 3201 0132 1023 2310 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 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 1.462270370885 0.616952275840 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_0'], '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_0101_1'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0101_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' : negation(d['c_0101_1']), 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_0']), '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_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 90*c_0101_4^13 + 418*c_0101_4^11 - 1339*c_0101_4^9 + 2684*c_0101_4^7 - 2407*c_0101_4^5 + 953*c_0101_4^3 - 141*c_0101_4, c_0011_0 - 1, c_0011_3 + 36*c_0101_4^12 - 170*c_0101_4^10 + 546*c_0101_4^8 - 1105*c_0101_4^6 + 1015*c_0101_4^4 - 402*c_0101_4^2 + 57, c_0101_0 + 14*c_0101_4^13 - 68*c_0101_4^11 + 221*c_0101_4^9 - 457*c_0101_4^7 + 448*c_0101_4^5 - 199*c_0101_4^3 + 32*c_0101_4, c_0101_1 - 2*c_0101_4^13 + 10*c_0101_4^11 - 33*c_0101_4^9 + 70*c_0101_4^7 - 74*c_0101_4^5 + 39*c_0101_4^3 - 9*c_0101_4, c_0101_4^14 - 5*c_0101_4^12 + 33/2*c_0101_4^10 - 35*c_0101_4^8 + 37*c_0101_4^6 - 39/2*c_0101_4^4 + 5*c_0101_4^2 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB