Magma V2.19-8 Tue Aug 20 2013 16:14:44 on localhost [Seed = 2277907358] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s720 geometric_solution 5.23121875 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 0 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 -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 0.411226356074 0.787178739321 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.898462270076 1.038134801386 1 3 0 4 1230 2310 0132 2310 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 0 0 0 0.898462270076 1.038134801386 1 5 5 2 0132 0132 3201 3201 0 0 0 0 0 0 0 0 1 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 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 0.569699781142 0.327455433661 2 4 4 1 3201 1230 3012 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 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 0.330983637100 0.585005191805 3 3 5 5 2310 0132 1230 3012 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.501740913175 0.755744921718 ==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_5' : 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' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : 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_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_0']), '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_0011_1'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), '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_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 7422953/391791*c_0101_5^11 - 38910103/391791*c_0101_5^10 - 10179893/391791*c_0101_5^9 + 75783718/391791*c_0101_5^8 - 13178447/130597*c_0101_5^7 - 107844851/391791*c_0101_5^6 + 54077993/391791*c_0101_5^5 + 69940786/391791*c_0101_5^4 - 13946981/391791*c_0101_5^3 + 6350212/130597*c_0101_5^2 + 3729612/130597*c_0101_5 - 23667193/391791, c_0011_0 - 1, c_0011_1 - 10968/130597*c_0101_5^11 - 58094/130597*c_0101_5^10 - 38049/130597*c_0101_5^9 + 17413/130597*c_0101_5^8 - 25019/130597*c_0101_5^7 + 73476/130597*c_0101_5^6 - 50625/130597*c_0101_5^5 - 110097/130597*c_0101_5^4 + 142327/130597*c_0101_5^3 + 266572/130597*c_0101_5^2 + 55953/130597*c_0101_5 - 91070/130597, c_0011_4 - 63710/130597*c_0101_5^11 - 355979/130597*c_0101_5^10 - 194082/130597*c_0101_5^9 + 662519/130597*c_0101_5^8 - 131778/130597*c_0101_5^7 - 1207233/130597*c_0101_5^6 + 155236/130597*c_0101_5^5 + 977723/130597*c_0101_5^4 - 11165/130597*c_0101_5^3 - 108550/130597*c_0101_5^2 + 160340/130597*c_0101_5 - 134875/130597, c_0101_0 + 42024/130597*c_0101_5^11 + 254594/130597*c_0101_5^10 + 242947/130597*c_0101_5^9 - 326769/130597*c_0101_5^8 + 6986/130597*c_0101_5^7 + 724673/130597*c_0101_5^6 + 32510/130597*c_0101_5^5 - 266297/130597*c_0101_5^4 - 68091/130597*c_0101_5^3 - 364959/130597*c_0101_5^2 - 190094/130597*c_0101_5 + 156898/130597, c_0101_1 - 38770/130597*c_0101_5^11 - 216545/130597*c_0101_5^10 - 139712/130597*c_0101_5^9 + 264044/130597*c_0101_5^8 - 234014/130597*c_0101_5^7 - 542432/130597*c_0101_5^6 + 165331/130597*c_0101_5^5 + 69130/130597*c_0101_5^4 - 165577/130597*c_0101_5^3 + 189377/130597*c_0101_5^2 + 237292/130597*c_0101_5 - 15333/130597, c_0101_5^12 + 5*c_0101_5^11 - 11*c_0101_5^9 + 8*c_0101_5^8 + 14*c_0101_5^7 - 12*c_0101_5^6 - 8*c_0101_5^5 + 5*c_0101_5^4 - 3*c_0101_5^3 - c_0101_5^2 + 4*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB