Magma V2.19-8 Tue Aug 20 2013 16:18:55 on localhost [Seed = 3953817244] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3076 geometric_solution 6.23919623 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 3201 0132 0 0 0 0 0 -1 0 1 1 0 -1 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 -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 0.500000000000 1.226734554110 0 3 4 4 0132 0132 2031 0132 0 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 -1 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 0.500000000000 0.336143607630 0 0 4 5 2310 0132 0213 0132 0 0 0 0 0 1 -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 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 0.715079854501 0.699042775291 6 1 0 6 0132 0132 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0.465079854501 0.613367277055 5 2 1 1 0321 0213 0132 1302 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 0 0 0 0 0 0 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 0.500000000000 0.336143607630 4 6 2 6 0321 1230 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.807598542125 0.926034517310 3 3 5 5 0132 2310 3012 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.215079854501 1.035186382921 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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_2_6' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(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_0101_1']), 'c_1100_4' : d['c_0101_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2']})} 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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 5/8*c_1001_2^2 + 3/8*c_1001_2 - 11/8, c_0011_0 - 1, c_0011_4 + 1, c_0011_5 - c_1001_2 + 1, c_0101_0 + c_1001_2, c_0101_1 + c_1001_2^2 + 1, c_0101_6 - c_1001_2^2 + c_1001_2 - 1, c_1001_2^3 + 2*c_1001_2 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 137753/131573*c_1001_2^5 + 601937/131573*c_1001_2^4 - 1764276/131573*c_1001_2^3 - 43131/10121*c_1001_2^2 - 1906477/131573*c_1001_2 + 949330/131573, c_0011_0 - 1, c_0011_4 + 107/10121*c_1001_2^5 + 106/10121*c_1001_2^4 - 3210/10121*c_1001_2^3 + 1037/10121*c_1001_2^2 + 3183/10121*c_1001_2 - 5787/10121, c_0011_5 + 423/10121*c_1001_2^5 + 2500/10121*c_1001_2^4 - 2569/10121*c_1001_2^3 - 8197/10121*c_1001_2^2 - 2078/10121*c_1001_2 - 4149/10121, c_0101_0 + 549/10121*c_1001_2^5 + 2814/10121*c_1001_2^4 - 6349/10121*c_1001_2^3 - 10854/10121*c_1001_2^2 - 3343/10121*c_1001_2 + 860/10121, c_0101_1 - 107/10121*c_1001_2^5 - 106/10121*c_1001_2^4 + 3210/10121*c_1001_2^3 - 1037/10121*c_1001_2^2 - 3183/10121*c_1001_2 - 4334/10121, c_0101_6 + 530/10121*c_1001_2^5 + 2606/10121*c_1001_2^4 - 5779/10121*c_1001_2^3 - 7160/10121*c_1001_2^2 + 1105/10121*c_1001_2 + 185/10121, c_1001_2^6 + 5*c_1001_2^5 - 11*c_1001_2^4 - 16*c_1001_2^3 - 3*c_1001_2^2 - 2*c_1001_2 + 13 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 17/10*c_1001_2^5 + 3/2*c_1001_2^4 + 23/5*c_1001_2^3 + 11/10*c_1001_2^2 + 4*c_1001_2 + 6/5, c_0011_0 - 1, c_0011_4 + 1, c_0011_5 + c_1001_2^5 + c_1001_2^4 + 3*c_1001_2^3 + 2*c_1001_2, c_0101_0 + c_1001_2, c_0101_1 + c_1001_2^2 + 1, c_0101_6 + c_1001_2^5 + 2*c_1001_2^4 + 3*c_1001_2^3 + 3*c_1001_2^2 + 2*c_1001_2 + 2, c_1001_2^6 + c_1001_2^5 + 3*c_1001_2^4 + c_1001_2^3 + 3*c_1001_2^2 + c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB