Magma V2.19-8 Tue Aug 20 2013 16:14:09 on localhost [Seed = 4155927505] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s108 geometric_solution 3.97479630 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 2 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.768887152493 0.119213626249 0 3 0 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.729950465401 0.196917337017 4 0 4 0 0132 0132 1023 1023 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729950465401 0.196917337017 5 1 4 1 0132 0132 2031 1023 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 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 0.806857547038 0.726233899861 2 5 2 3 0132 3201 1023 1302 0 0 0 0 0 1 -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 0 0 0 0 -1 0 1 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 0.806857547038 0.726233899861 3 5 4 5 0132 2310 2310 3201 0 0 0 0 0 1 0 -1 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 -1 0 1 -1 0 1 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 -0.659238298432 1.213838454857 ==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_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(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' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0101_3'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0101_4']})} 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_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 57434645/33607203*c_0101_4^8 + 99242036/11202401*c_0101_4^7 + 6407459/4801029*c_0101_4^6 + 1200567205/33607203*c_0101_4^5 - 276684174/11202401*c_0101_4^4 - 414854158/11202401*c_0101_4^3 - 3513457599/22404802*c_0101_4^2 - 5847329725/67214406*c_0101_4 + 422822291/22404802, c_0011_0 - 1, c_0101_0 + c_0101_4, c_0101_1 - 2572335/1600343*c_0101_4^8 + 4416203/4801029*c_0101_4^7 - 10535895/1600343*c_0101_4^6 + 18849086/4801029*c_0101_4^5 + 6676366/4801029*c_0101_4^4 + 37885438/1600343*c_0101_4^3 + 22583442/1600343*c_0101_4^2 - 3755792/1600343*c_0101_4 - 1453697/4801029, c_0101_2 + 2601080/1600343*c_0101_4^8 - 4169929/4801029*c_0101_4^7 + 31435991/4801029*c_0101_4^6 - 16934930/4801029*c_0101_4^5 - 10511500/4801029*c_0101_4^4 - 113133187/4801029*c_0101_4^3 - 75529180/4801029*c_0101_4^2 + 10023929/4801029*c_0101_4 + 829865/1600343, c_0101_3 - 223025/4801029*c_0101_4^8 + 282415/1600343*c_0101_4^7 - 824113/4801029*c_0101_4^6 + 977086/1600343*c_0101_4^5 + 952340/4801029*c_0101_4^4 - 184250/4801029*c_0101_4^3 - 6384263/4801029*c_0101_4^2 - 4783042/1600343*c_0101_4 - 6839/4801029, c_0101_4^9 - 3/5*c_0101_4^8 + 4*c_0101_4^7 - 12/5*c_0101_4^6 - 7/5*c_0101_4^5 - 71/5*c_0101_4^4 - 43/5*c_0101_4^3 + 3*c_0101_4^2 + 2/5*c_0101_4 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB