Magma V2.19-8 Tue Aug 20 2013 16:17:29 on localhost [Seed = 2210537304] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1709 geometric_solution 5.41958732 oriented_manifold CS_known 0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 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 0.600982872494 0.140932185939 2 0 2 0 0132 2310 1023 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 -1 1 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 0.821809342819 0.228927507156 1 3 1 4 0132 0132 1023 0132 0 0 0 0 0 0 -1 1 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 0 1 -1 -1 0 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 1.072354959173 0.641686512735 5 2 6 4 0132 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.187614417628 0.940856215873 3 6 2 5 3012 1023 0132 1023 0 0 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 0 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 1.187614417628 0.940856215873 3 5 5 4 0132 1230 3012 1023 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 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 0.525754401605 0.608897188117 4 6 6 3 1023 3201 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 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 0.525754401605 0.608897188117 ==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' : 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' : 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_4'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_1'], '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' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0011_1'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : 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_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 196201297/2843884*c_0101_6^8 - 549015812/710971*c_0101_6^7 - 4937133395/2843884*c_0101_6^6 - 9986046697/2843884*c_0101_6^5 - 3418947803/1421942*c_0101_6^4 + 3583128799/2843884*c_0101_6^3 + 3491848973/2843884*c_0101_6^2 + 1269074687/1421942*c_0101_6 + 1096310685/2843884, c_0011_0 - 1, c_0011_1 - 421797/2843884*c_0101_6^8 - 1117094/710971*c_0101_6^7 - 7804151/2843884*c_0101_6^6 - 15417501/2843884*c_0101_6^5 - 1609371/1421942*c_0101_6^4 + 14763871/2843884*c_0101_6^3 + 344097/2843884*c_0101_6^2 + 1980415/1421942*c_0101_6 + 503285/2843884, c_0011_4 - 249023/2843884*c_0101_6^8 - 1285539/1421942*c_0101_6^7 - 3932411/2843884*c_0101_6^6 - 8072887/2843884*c_0101_6^5 + 347718/710971*c_0101_6^4 + 9206031/2843884*c_0101_6^3 + 2405679/2843884*c_0101_6^2 + 331506/710971*c_0101_6 - 1246279/2843884, c_0101_0 - 672523/2843884*c_0101_6^8 - 3698185/1421942*c_0101_6^7 - 15467911/2843884*c_0101_6^6 - 31049479/2843884*c_0101_6^5 - 4198661/710971*c_0101_6^4 + 17203743/2843884*c_0101_6^3 + 9418543/2843884*c_0101_6^2 + 1987408/710971*c_0101_6 + 144869/2843884, c_0101_1 + 249023/2843884*c_0101_6^8 + 1285539/1421942*c_0101_6^7 + 3932411/2843884*c_0101_6^6 + 8072887/2843884*c_0101_6^5 - 347718/710971*c_0101_6^4 - 9206031/2843884*c_0101_6^3 - 2405679/2843884*c_0101_6^2 - 331506/710971*c_0101_6 + 1246279/2843884, c_0101_3 + 421797/2843884*c_0101_6^8 + 1117094/710971*c_0101_6^7 + 7804151/2843884*c_0101_6^6 + 15417501/2843884*c_0101_6^5 + 1609371/1421942*c_0101_6^4 - 14763871/2843884*c_0101_6^3 - 344097/2843884*c_0101_6^2 - 558473/1421942*c_0101_6 - 503285/2843884, c_0101_6^9 + 11*c_0101_6^8 + 23*c_0101_6^7 + 46*c_0101_6^6 + 25*c_0101_6^5 - 25*c_0101_6^4 - 14*c_0101_6^3 - 9*c_0101_6^2 - 3*c_0101_6 + 1 ], 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_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 343/2*c_0101_3*c_0101_6^4 - 1477/2*c_0101_3*c_0101_6^3 + 570*c_0101_3*c_0101_6^2 + 1359/2*c_0101_3*c_0101_6 - 1099/2*c_0101_3 + 221/2*c_0101_6^4 - 479*c_0101_6^3 + 380*c_0101_6^2 + 857/2*c_0101_6 - 719/2, c_0011_0 - 1, c_0011_1 - c_0101_6, c_0011_4 + 1/2*c_0101_3*c_0101_6^4 - 2*c_0101_3*c_0101_6^3 + c_0101_3*c_0101_6^2 + 2*c_0101_3*c_0101_6 - 1/2*c_0101_3, c_0101_0 - c_0101_6^4 + 3*c_0101_6^3 - 3*c_0101_6, c_0101_1 - c_0101_6^2 + c_0101_6 + 1, c_0101_3^2 + 16*c_0101_3*c_0101_6^4 - 36*c_0101_3*c_0101_6^3 - 28*c_0101_3*c_0101_6^2 + 20*c_0101_3*c_0101_6 + 8*c_0101_3 + 28*c_0101_6^4 - 60*c_0101_6^3 - 60*c_0101_6^2 + 40*c_0101_6 + 16, c_0101_6^5 - 4*c_0101_6^4 + 2*c_0101_6^3 + 5*c_0101_6^2 - 2*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB