Magma V2.19-8 Tue Aug 20 2013 16:14:41 on localhost [Seed = 2783197626] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s669 geometric_solution 5.16168586 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 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 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 0.257854187253 0.219836499337 2 0 3 0 0132 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496359187350 1.694834250220 1 3 4 5 0132 3201 0132 0132 0 0 0 0 0 -1 0 1 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 0 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 0.066184121411 0.970498326572 5 4 2 1 3201 0132 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.066184121411 0.970498326572 4 3 4 2 2031 0132 1302 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477676137934 0.549740924487 5 5 2 3 1230 3012 0132 2310 0 0 0 0 0 0 -1 1 -1 0 0 1 -1 1 0 0 0 1 -1 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 1.099386264697 1.036485158317 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_1_5' : 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_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0101_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 2428427/215277*c_0101_1^10 - 2277997/215277*c_0101_1^9 + 14306423/215277*c_0101_1^8 - 8756311/215277*c_0101_1^7 - 16548902/215277*c_0101_1^6 + 8374929/71759*c_0101_1^5 - 18067855/215277*c_0101_1^4 - 21914495/215277*c_0101_1^3 - 20760161/215277*c_0101_1^2 - 8147017/215277*c_0101_1 - 604580/215277, c_0011_0 - 1, c_0011_1 - 609/71759*c_0101_1^10 - 2360/71759*c_0101_1^9 + 5588/71759*c_0101_1^8 + 13297/71759*c_0101_1^7 - 25438/71759*c_0101_1^6 - 1889/71759*c_0101_1^5 + 10848/71759*c_0101_1^4 + 11412/71759*c_0101_1^3 - 4130/71759*c_0101_1^2 - 33104/71759*c_0101_1 + 42819/71759, c_0011_3 - 4164/71759*c_0011_5*c_0101_1^10 - 33104/71759*c_0011_5*c_0101_1^9 - 4565/71759*c_0011_5*c_0101_1^8 + 158788/71759*c_0011_5*c_0101_1^7 - 114544/71759*c_0011_5*c_0101_1^6 - 176583/71759*c_0011_5*c_0101_1^5 + 243142/71759*c_0011_5*c_0101_1^4 - 192393/71759*c_0011_5*c_0101_1^3 - 344968/71759*c_0011_5*c_0101_1^2 - 253212/71759*c_0011_5*c_0101_1 - 28906/71759*c_0011_5, c_0011_5^2 + 28872/71759*c_0101_1^10 + 36591/71759*c_0101_1^9 - 181143/71759*c_0101_1^8 + 29575/71759*c_0101_1^7 + 357251/71759*c_0101_1^6 - 300347/71759*c_0101_1^5 - 78435/71759*c_0101_1^4 + 559746/71759*c_0101_1^3 + 225492/71759*c_0101_1^2 - 74671/71759*c_0101_1 - 57865/71759, c_0101_0 - 8328/71759*c_0101_1^10 + 5551/71759*c_0101_1^9 + 62629/71759*c_0101_1^8 - 112978/71759*c_0101_1^7 - 13811/71759*c_0101_1^6 + 220906/71759*c_0101_1^5 - 231306/71759*c_0101_1^4 - 25991/71759*c_0101_1^3 + 99413/71759*c_0101_1^2 + 67648/71759*c_0101_1 + 13947/71759, c_0101_1^11 + c_0101_1^10 - 6*c_0101_1^9 + 3*c_0101_1^8 + 8*c_0101_1^7 - 10*c_0101_1^6 + 5*c_0101_1^5 + 11*c_0101_1^4 + 9*c_0101_1^3 + c_0101_1^2 - c_0101_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB