Magma V2.19-8 Tue Aug 20 2013 16:14:35 on localhost [Seed = 1730607974] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s574 geometric_solution 5.03806161 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 -1 0 1 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 1 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 0.540841256159 0.885915267559 3 2 4 0 0132 3012 0132 0132 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 1 0 0 -1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.032490990068 0.978880008066 1 3 0 4 1230 2310 0132 2310 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 0 0 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 1.032490990068 0.978880008066 1 5 5 2 0132 0132 1023 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 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 0.761042832959 0.402776601472 2 4 4 1 3201 1230 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215222139075 0.472799519445 5 3 3 5 3012 0132 1023 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 1.508637988707 0.534027925693 ==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' : negation(d['1']), 's_2_5' : 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' : 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_0011_1'], 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), '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' : d['c_0011_1'], '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' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], '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_0011_1'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : 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_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 3214466/987645*c_0101_5^11 + 3362597/329215*c_0101_5^10 + 1803556/987645*c_0101_5^9 + 28698946/987645*c_0101_5^8 - 42345973/987645*c_0101_5^7 + 10609697/329215*c_0101_5^6 - 13864805/197529*c_0101_5^5 + 16382981/329215*c_0101_5^4 - 51647477/987645*c_0101_5^3 + 37634302/987645*c_0101_5^2 - 18380048/987645*c_0101_5 - 2303947/987645, c_0011_0 - 1, c_0011_1 + 163548/329215*c_0101_5^11 - 547998/329215*c_0101_5^10 + 6347/329215*c_0101_5^9 - 1432468/329215*c_0101_5^8 + 2529629/329215*c_0101_5^7 - 1910488/329215*c_0101_5^6 + 813111/65843*c_0101_5^5 - 3355509/329215*c_0101_5^4 + 2892521/329215*c_0101_5^3 - 2975386/329215*c_0101_5^2 + 1329149/329215*c_0101_5 - 206854/329215, c_0011_4 - 8774/65843*c_0101_5^11 + 42897/65843*c_0101_5^10 - 42863/65843*c_0101_5^9 + 62953/65843*c_0101_5^8 - 248413/65843*c_0101_5^7 + 322645/65843*c_0101_5^6 - 268272/65843*c_0101_5^5 + 507697/65843*c_0101_5^4 - 403983/65843*c_0101_5^3 + 319323/65843*c_0101_5^2 - 299473/65843*c_0101_5 + 58223/65843, c_0101_0 + 24867/65843*c_0101_5^11 - 69850/65843*c_0101_5^10 - 52642/65843*c_0101_5^9 - 188903/65843*c_0101_5^8 + 272673/65843*c_0101_5^7 - 22083/65843*c_0101_5^6 + 309438/65843*c_0101_5^5 - 150338/65843*c_0101_5^4 + 22766/65843*c_0101_5^3 - 68305/65843*c_0101_5^2 - 79341/65843*c_0101_5 + 100662/65843, c_0101_1 - 100222/329215*c_0101_5^11 + 318807/329215*c_0101_5^10 + 89862/329215*c_0101_5^9 + 752512/329215*c_0101_5^8 - 1391786/329215*c_0101_5^7 + 615547/329215*c_0101_5^6 - 357459/65843*c_0101_5^5 + 1025646/329215*c_0101_5^4 - 972089/329215*c_0101_5^3 + 660629/329215*c_0101_5^2 + 205734/329215*c_0101_5 - 110769/329215, c_0101_5^12 - 4*c_0101_5^11 + 2*c_0101_5^10 - 8*c_0101_5^9 + 21*c_0101_5^8 - 20*c_0101_5^7 + 28*c_0101_5^6 - 33*c_0101_5^5 + 26*c_0101_5^4 - 23*c_0101_5^3 + 14*c_0101_5^2 - 2*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB