Magma V2.19-8 Tue Aug 20 2013 16:14:36 on localhost [Seed = 3532869332] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s591 geometric_solution 5.06919391 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 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 1 -1 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 0.319869666745 0.454348323009 3 2 4 0 0132 3012 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.470898499400 0.961280535797 1 3 0 4 1230 0132 0132 3201 0 0 0 0 0 -1 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 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 0.470898499400 0.961280535797 1 2 3 3 0132 0132 1230 3012 0 0 0 0 0 1 -1 0 0 0 -1 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 1 -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 1.029050275902 1.252928888514 5 2 5 1 0132 2310 2310 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 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388306710037 1.853807128687 4 4 5 5 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.408740440008 0.156936310641 ==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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_1'], '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_4']), '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' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_1'], '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_4'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(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_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 3*c_0101_4^2 + c_0101_4 - 8, c_0011_0 - 1, c_0011_1 + c_0101_4^2 - 1, c_0011_4 - c_0101_4^2 + 1, c_0101_0 - c_0101_4, c_0101_1 + 1, c_0101_4^3 + c_0101_4^2 - 2*c_0101_4 - 1 ], 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_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 60206/92267*c_0101_4^9 - 31/92267*c_0101_4^8 - 377824/92267*c_0101_4^7 + 779999/92267*c_0101_4^6 + 1392743/92267*c_0101_4^5 - 2806508/92267*c_0101_4^4 - 3574827/92267*c_0101_4^3 - 2096098/92267*c_0101_4^2 + 280724/92267*c_0101_4 + 497711/92267, c_0011_0 - 1, c_0011_1 - 1632/13181*c_0101_4^9 + 1775/13181*c_0101_4^8 + 6973/13181*c_0101_4^7 - 25204/13181*c_0101_4^6 - 10498/13181*c_0101_4^5 + 68756/13181*c_0101_4^4 + 45118/13181*c_0101_4^3 + 15046/13181*c_0101_4^2 + 7836/13181*c_0101_4 - 4777/13181, c_0011_4 + 3743/13181*c_0101_4^9 - 7132/13181*c_0101_4^8 - 8321/13181*c_0101_4^7 + 58687/13181*c_0101_4^6 - 21514/13181*c_0101_4^5 - 106662/13181*c_0101_4^4 - 72605/13181*c_0101_4^3 + 8854/13181*c_0101_4^2 + 23911/13181*c_0101_4 - 11738/13181, c_0101_0 + 4192/13181*c_0101_4^9 - 10356/13181*c_0101_4^8 - 3807/13181*c_0101_4^7 + 70241/13181*c_0101_4^6 - 67443/13181*c_0101_4^5 - 88366/13181*c_0101_4^4 - 1656/13181*c_0101_4^3 - 5492/13181*c_0101_4^2 + 8228/13181*c_0101_4 - 17230/13181, c_0101_1 + 2617/13181*c_0101_4^9 - 4742/13181*c_0101_4^8 - 6586/13181*c_0101_4^7 + 41639/13181*c_0101_4^6 - 12507/13181*c_0101_4^5 - 80869/13181*c_0101_4^4 - 47674/13181*c_0101_4^3 + 465/13181*c_0101_4^2 + 12232/13181*c_0101_4 - 14367/13181, c_0101_4^10 - 2*c_0101_4^9 - 2*c_0101_4^8 + 16*c_0101_4^7 - 8*c_0101_4^6 - 27*c_0101_4^5 - 14*c_0101_4^4 - 2*c_0101_4^3 + 5*c_0101_4^2 - 3*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB