Magma V2.19-8 Tue Aug 20 2013 16:14:55 on localhost [Seed = 2480017398] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s889 geometric_solution 5.62357153 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 2 0132 0132 0132 3120 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 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 -0.130464078505 1.137991333477 0 4 1 1 0132 0132 1230 3012 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 -1 1 0 0 -1 1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.304343080952 0.797541724061 0 0 4 5 3120 0132 2103 0132 0 0 0 0 0 1 0 -1 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.869535921495 1.137991333477 4 5 4 0 3201 2310 3120 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.130464078505 1.137991333477 2 1 3 3 2103 0132 3120 2310 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 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 0.869535921495 1.137991333477 5 5 2 3 1230 3012 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.304343080952 0.797541724061 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], '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_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], '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_1'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0011_5']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 7/16*c_0101_2^5 - 5/8*c_0101_2^4 - 3/4*c_0101_2^3 + 7/8*c_0101_2^2 - 47/16*c_0101_2 + 31/8, c_0011_0 - 1, c_0011_3 + 1, c_0011_5 + 1/8*c_0101_2^5 + 1/4*c_0101_2^4 + 1/2*c_0101_2^3 + 1/4*c_0101_2^2 - 1/8*c_0101_2 + 1/4, c_0101_0 - 1/8*c_0101_2^5 - 1/4*c_0101_2^4 - 1/2*c_0101_2^3 - 1/4*c_0101_2^2 + 1/8*c_0101_2 - 1/4, c_0101_1 + 1/4*c_0101_2^5 + 1/2*c_0101_2^4 + 1/2*c_0101_2^2 - 1/4*c_0101_2 - 1/2, c_0101_2^6 + 2*c_0101_2^3 - 5*c_0101_2^2 + 4*c_0101_2 - 4 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 7146/263*c_0101_2^9 - 12553/263*c_0101_2^8 + 94935/263*c_0101_2^7 - 18839/263*c_0101_2^6 - 191427/263*c_0101_2^5 + 43196/263*c_0101_2^4 + 128174/263*c_0101_2^3 + 12819/263*c_0101_2^2 - 24242/263*c_0101_2 - 13602/263, c_0011_0 - 1, c_0011_3 - 125/263*c_0101_2^9 - 95/263*c_0101_2^8 + 1848/263*c_0101_2^7 - 1893/263*c_0101_2^6 - 2235/263*c_0101_2^5 + 2574/263*c_0101_2^4 + 609/263*c_0101_2^3 - 335/263*c_0101_2^2 - 420/263*c_0101_2 + 1/263, c_0011_5 + 178/263*c_0101_2^9 + 251/263*c_0101_2^8 - 2499/263*c_0101_2^7 + 1206/263*c_0101_2^6 + 4950/263*c_0101_2^5 - 2100/263*c_0101_2^4 - 4120/263*c_0101_2^3 - 333/263*c_0101_2^2 + 1608/263*c_0101_2 + 695/263, c_0101_0 + 281/263*c_0101_2^9 + 445/263*c_0101_2^8 - 3784/263*c_0101_2^7 + 1434/263*c_0101_2^6 + 6981/263*c_0101_2^5 - 2603/263*c_0101_2^4 - 4666/263*c_0101_2^3 - 341/263*c_0101_2^2 + 1649/263*c_0101_2 + 549/263, c_0101_1 + 20/263*c_0101_2^9 - 90/263*c_0101_2^8 - 464/263*c_0101_2^7 + 1681/263*c_0101_2^6 - 221/263*c_0101_2^5 - 2600/263*c_0101_2^4 + 660/263*c_0101_2^3 + 1053/263*c_0101_2^2 + 225/263*c_0101_2 - 179/263, c_0101_2^10 + 2*c_0101_2^9 - 13*c_0101_2^8 - c_0101_2^7 + 29*c_0101_2^6 + 2*c_0101_2^5 - 23*c_0101_2^4 - 9*c_0101_2^3 + 5*c_0101_2^2 + 5*c_0101_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB