Magma V2.19-8 Tue Aug 20 2013 16:19:23 on localhost [Seed = 1865347688] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3481 geometric_solution 6.72207645 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 -1 -1 2 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 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 0.431234850737 0.796587385842 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 -1 1 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 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 0.914991460459 1.024902676838 1 5 0 4 1230 0132 0132 3201 0 0 0 0 0 1 -2 1 1 0 0 -1 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 1 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 0.914991460459 1.024902676838 1 6 5 5 0132 0132 1230 3012 0 0 0 0 0 1 -1 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 0.854449733925 0.750771199343 6 2 6 1 3201 2310 1023 0132 0 0 0 0 0 -1 0 1 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 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 0.157897064108 0.811905856337 6 2 3 3 0132 0132 1230 3012 0 0 0 0 0 -1 0 1 -1 0 0 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 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 0.854449733925 0.750771199343 5 3 4 4 0132 0132 1023 2310 0 0 0 0 0 -1 0 1 1 0 0 -1 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 0.615424550300 0.593355960685 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], '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' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_1'], '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' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), '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' : d['c_0101_6'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_4']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : negation(d['c_0101_6']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 92611/3033*c_0101_6^5 + 58204/1011*c_0101_6^4 - 375830/3033*c_0101_6^3 - 4260124/21231*c_0101_6^2 - 1907053/21231*c_0101_6 - 214258/21231, c_0011_0 - 1, c_0011_1 + 959/3033*c_0101_6^5 + 532/1011*c_0101_6^4 - 3115/3033*c_0101_6^3 - 4589/3033*c_0101_6^2 - 6899/3033*c_0101_6 - 527/3033, c_0011_4 + 3689/3033*c_0101_6^5 + 910/1011*c_0101_6^4 - 20041/3033*c_0101_6^3 - 4790/3033*c_0101_6^2 + 1954/3033*c_0101_6 + 1360/3033, c_0101_0 + 4676/3033*c_0101_6^5 + 1337/1011*c_0101_6^4 - 24745/3033*c_0101_6^3 - 5897/3033*c_0101_6^2 + 2425/3033*c_0101_6 + 28/3033, c_0101_1 - c_0101_6, c_0101_4 + 4648/3033*c_0101_6^5 + 1442/1011*c_0101_6^4 - 23156/3033*c_0101_6^3 - 9379/3033*c_0101_6^2 - 4945/3033*c_0101_6 + 833/3033, c_0101_6^6 + c_0101_6^5 - 5*c_0101_6^4 - 15/7*c_0101_6^3 - 5/7*c_0101_6^2 + 1/7*c_0101_6 - 1/7 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 88467055/34654*c_0101_6^9 - 292459959/34654*c_0101_6^8 - 1679878075/34654*c_0101_6^7 + 2822435872/17327*c_0101_6^6 - 2853892312/17327*c_0101_6^5 + 1182827258/17327*c_0101_6^4 - 1254806113/34654*c_0101_6^3 + 1268314189/34654*c_0101_6^2 - 105291309/17327*c_0101_6 - 289563035/34654, c_0011_0 - 1, c_0011_1 + 16451/17327*c_0101_6^9 - 53361/17327*c_0101_6^8 - 311361/17327*c_0101_6^7 + 1021833/17327*c_0101_6^6 - 1092500/17327*c_0101_6^5 + 522382/17327*c_0101_6^4 - 261395/17327*c_0101_6^3 + 233172/17327*c_0101_6^2 - 51671/17327*c_0101_6 - 47296/17327, c_0011_4 + 43337/17327*c_0101_6^9 - 146062/17327*c_0101_6^8 - 814173/17327*c_0101_6^7 + 2821819/17327*c_0101_6^6 - 2966487/17327*c_0101_6^5 + 1263983/17327*c_0101_6^4 - 639345/17327*c_0101_6^3 + 668545/17327*c_0101_6^2 - 136190/17327*c_0101_6 - 146108/17327, c_0101_0 + 66631/17327*c_0101_6^9 - 224009/17327*c_0101_6^8 - 1256680/17327*c_0101_6^7 + 4332164/17327*c_0101_6^6 - 4457428/17327*c_0101_6^5 + 1841278/17327*c_0101_6^4 - 951644/17327*c_0101_6^3 + 975312/17327*c_0101_6^2 - 173549/17327*c_0101_6 - 220804/17327, c_0101_1 - c_0101_6, c_0101_4 - 43337/17327*c_0101_6^9 + 146062/17327*c_0101_6^8 + 814173/17327*c_0101_6^7 - 2821819/17327*c_0101_6^6 + 2966487/17327*c_0101_6^5 - 1263983/17327*c_0101_6^4 + 639345/17327*c_0101_6^3 - 668545/17327*c_0101_6^2 + 136190/17327*c_0101_6 + 146108/17327, c_0101_6^10 - 3*c_0101_6^9 - 20*c_0101_6^8 + 58*c_0101_6^7 - 45*c_0101_6^6 + 7*c_0101_6^5 - 6*c_0101_6^4 + 10*c_0101_6^3 + 2*c_0101_6^2 - 4*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB