Magma V2.19-8 Tue Aug 20 2013 16:08:55 on localhost [Seed = 1764292574] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m157 geometric_solution 3.80190876 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 5 1 1 2 3 0132 2310 0132 0132 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 1 -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 -0.158249777423 1.845474243985 0 1 1 0 0132 3201 2310 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 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 -0.496869651640 0.541299740793 3 3 4 0 1302 2031 0132 0132 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 1 0 -1 -1 0 0 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355495000296 0.340877065997 2 2 0 4 1302 2031 0132 2310 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 1 1 -2 0 0 -1 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355495000296 0.340877065997 3 4 4 2 3201 1230 3012 0132 0 0 0 0 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 2 -1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534487654270 1.405250560990 ==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' : negation(d['1']), 's_1_4' : negation(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_4'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], '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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_2']), 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0011_2']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : negation(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_2, c_0011_4, c_0101_0, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1971/308*c_0101_4^7 - 1207/154*c_0101_4^6 + 5448/77*c_0101_4^5 + 3887/22*c_0101_4^4 + 48313/308*c_0101_4^3 + 15331/154*c_0101_4^2 - 6753/308*c_0101_4 - 3648/77, c_0011_0 - 1, c_0011_2 + 5/22*c_0101_4^7 + 7/22*c_0101_4^6 - 26/11*c_0101_4^5 - 151/22*c_0101_4^4 - 81/11*c_0101_4^3 - 53/11*c_0101_4^2 - 19/22*c_0101_4 + 13/11, c_0011_4 - 9/11*c_0101_4^7 - 23/22*c_0101_4^6 + 98/11*c_0101_4^5 + 252/11*c_0101_4^4 + 493/22*c_0101_4^3 + 353/22*c_0101_4^2 - 13/22*c_0101_4 - 49/11, c_0101_0 + 9/22*c_0101_4^7 + 3/11*c_0101_4^6 - 49/11*c_0101_4^5 - 197/22*c_0101_4^4 - 153/22*c_0101_4^3 - 105/22*c_0101_4^2 + 17/11*c_0101_4 + 19/11, c_0101_4^8 + 2*c_0101_4^7 - 10*c_0101_4^6 - 36*c_0101_4^5 - 47*c_0101_4^4 - 38*c_0101_4^3 - 13*c_0101_4^2 + 6*c_0101_4 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB