Magma V2.19-8 Tue Aug 20 2013 16:17:10 on localhost [Seed = 4299984] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1405 geometric_solution 5.24838420 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 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 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 -1.010472158079 0.294412303631 0 0 2 2 0132 3201 2310 0132 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 0 0 0 -1 0 0 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 1.673666401954 0.750666107443 3 1 1 4 0132 3201 0132 0132 0 0 0 0 0 1 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 0 0 0 0 1 0 -1 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 0.970696725295 0.273720616668 2 5 5 4 0132 0132 0321 2031 1 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 1 -2 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 0.751710801535 0.678821993849 6 3 2 6 0132 1302 0132 2031 0 0 1 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 1 0 -1 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 0.751710801535 0.678821993849 6 3 3 6 3201 0132 0321 3012 1 0 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 0 0 0 0 0 -1 2 -1 1 0 -1 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 0.751710801535 0.678821993849 4 4 5 5 0132 1302 1230 2310 0 0 0 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 0 0 0 0 0 0 -1 0 1 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.267244433430 0.661704732308 ==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' : negation(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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_2'], 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 49033292450055/558466414015552*c_0101_3^9 - 51602316509863/79780916287936*c_0101_3^8 + 900177594998687/279233207007776*c_0101_3^7 - 65825413870561/34904150875972*c_0101_3^6 - 123245945678427/34904150875972*c_0101_3^5 - 6679412223539747/279233207007776*c_0101_3^4 + 12591831515500729/279233207007776*c_0101_3^3 + 480687850362509/8726037718993*c_0101_3^2 - 4448848318435425/79780916287936*c_0101_3 - 6639205706203977/558466414015552, c_0011_0 - 1, c_0011_2 + 5791426399/4986307267996*c_0101_3^9 - 85764325471/9972614535992*c_0101_3^8 + 419424197653/9972614535992*c_0101_3^7 - 217475889875/9972614535992*c_0101_3^6 - 698337993909/9972614535992*c_0101_3^5 - 3363368256513/9972614535992*c_0101_3^4 + 5301972204523/9972614535992*c_0101_3^3 + 8953936678315/9972614535992*c_0101_3^2 - 2424638778673/9972614535992*c_0101_3 - 446695305899/1246576816999, c_0011_4 - 66041897557/9972614535992*c_0101_3^9 + 455437095699/9972614535992*c_0101_3^8 - 2201269782647/9972614535992*c_0101_3^7 + 283807915247/9972614535992*c_0101_3^6 + 3326144864477/9972614535992*c_0101_3^5 + 18368897469613/9972614535992*c_0101_3^4 - 25502750072965/9972614535992*c_0101_3^3 - 57112293808919/9972614535992*c_0101_3^2 + 7589154963703/2493153633998*c_0101_3 + 2172784585583/1246576816999, c_0101_0 - 9219519999/4986307267996*c_0101_3^9 + 64959529881/4986307267996*c_0101_3^8 - 331975731431/4986307267996*c_0101_3^7 + 46701208952/1246576816999*c_0101_3^6 - 10614353501/1246576816999*c_0101_3^5 + 2600981886073/4986307267996*c_0101_3^4 - 3997871213237/4986307267996*c_0101_3^3 - 1005861845737/2493153633998*c_0101_3^2 + 1450238846815/4986307267996*c_0101_3 - 477891259899/1246576816999, c_0101_1 + 10627938777/9972614535992*c_0101_3^9 - 77428758085/9972614535992*c_0101_3^8 + 379047234985/9972614535992*c_0101_3^7 - 192856566455/9972614535992*c_0101_3^6 - 398523664429/9972614535992*c_0101_3^5 - 3948259798427/9972614535992*c_0101_3^4 + 6134365156887/9972614535992*c_0101_3^3 + 8643963962111/9972614535992*c_0101_3^2 + 341490214259/2493153633998*c_0101_3 - 889213029700/1246576816999, c_0101_3^10 - 7*c_0101_3^9 + 34*c_0101_3^8 - 8*c_0101_3^7 - 48*c_0101_3^6 - 290*c_0101_3^5 + 414*c_0101_3^4 + 824*c_0101_3^3 - 385*c_0101_3^2 - 407*c_0101_3 - 112, c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB