Magma V2.19-8 Tue Aug 20 2013 16:17:06 on localhost [Seed = 3018993506] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1348 geometric_solution 5.21927466 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 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 -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 0.522330839277 0.341793652181 0 3 0 3 0132 0132 2310 2310 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 -1 0 1 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 -0.340504590220 0.877175776738 4 0 5 0 0132 2310 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.137164570503 0.535382124557 1 1 4 5 3201 0132 1230 1230 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 1 -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 -0.449060096056 1.752775861858 2 4 4 3 0132 1230 3012 3012 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 1 -1 0 0 0 -1 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 1.052168413818 0.746809883584 3 6 6 2 3012 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.745667038114 0.351694080422 5 5 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.463357467435 0.558337088874 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), '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_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_2'], '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0011_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : negation(d['c_0101_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 213905/99293*c_0101_6^9 - 579941/198586*c_0101_6^8 - 2699243/99293*c_0101_6^7 - 7853237/198586*c_0101_6^6 - 6952253/198586*c_0101_6^5 - 3339985/99293*c_0101_6^4 - 4585233/198586*c_0101_6^3 + 441402/99293*c_0101_6^2 + 2029921/198586*c_0101_6 + 296221/198586, c_0011_0 - 1, c_0011_2 + 2428/3203*c_0101_6^9 - 3686/3203*c_0101_6^8 - 28678/3203*c_0101_6^7 - 42848/3203*c_0101_6^6 - 46910/3203*c_0101_6^5 - 44124/3203*c_0101_6^4 - 35401/3203*c_0101_6^3 - 6480/3203*c_0101_6^2 + 3967/3203*c_0101_6 + 4788/3203, c_0101_0 - 4089/3203*c_0101_6^9 + 8627/3203*c_0101_6^8 + 44442/3203*c_0101_6^7 + 42563/3203*c_0101_6^6 + 41924/3203*c_0101_6^5 + 42807/3203*c_0101_6^4 + 26118/3203*c_0101_6^3 - 11603/3203*c_0101_6^2 - 2094/3203*c_0101_6 - 1267/3203, c_0101_1 + 1, c_0101_2 + 8516/3203*c_0101_6^9 - 14638/3203*c_0101_6^8 - 99678/3203*c_0101_6^7 - 125469/3203*c_0101_6^6 - 119638/3203*c_0101_6^5 - 112262/3203*c_0101_6^4 - 72633/3203*c_0101_6^3 + 17539/3203*c_0101_6^2 + 26251/3203*c_0101_6 + 12113/3203, c_0101_5 - 483/3203*c_0101_6^9 + 166/3203*c_0101_6^8 + 6441/3203*c_0101_6^7 + 15774/3203*c_0101_6^6 + 20194/3203*c_0101_6^5 + 17194/3203*c_0101_6^4 + 16212/3203*c_0101_6^3 + 10344/3203*c_0101_6^2 - 57/3203*c_0101_6 - 810/3203, c_0101_6^10 - c_0101_6^9 - 13*c_0101_6^8 - 23*c_0101_6^7 - 24*c_0101_6^6 - 23*c_0101_6^5 - 18*c_0101_6^4 - 4*c_0101_6^3 + 4*c_0101_6^2 + 3*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB