Magma V2.19-8 Tue Aug 20 2013 16:14:28 on localhost [Seed = 1696921952] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s458 geometric_solution 4.78499493 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 3 0132 0132 0132 2310 0 0 0 0 0 -1 0 1 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 -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 0.375064472039 0.388384308099 0 4 5 3 0132 0132 0132 3012 0 0 0 0 0 0 -1 1 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 -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 0.497955468964 0.710365451293 5 0 4 5 2310 0132 2031 2031 0 0 0 0 0 1 -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 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 0.531751045336 1.252741124060 0 4 1 0 3201 3012 1230 0132 0 0 0 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 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 1.154323573105 0.717387861953 3 1 5 2 1230 0132 1302 1302 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 -1 0 0 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 0.406262748244 2.095966103518 4 2 2 1 2031 1302 3201 0132 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 -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 1.534314376824 0.326971405057 ==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' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : 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' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0101_2'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_1001_1']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], '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_0101_2']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0011_3'])})} 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_1, c_0101_2, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 2176/135*c_1001_1^3 + 256/45*c_1001_1^2 - 5504/135*c_1001_1 - 688/27, c_0011_0 - 1, c_0011_3 + 1/2, c_0011_5 - 16/9*c_1001_1^3 + 2/3*c_1001_1^2 + 32/9*c_1001_1 + 2/9, c_0101_1 + 4/3*c_1001_1^3 - 8/3*c_1001_1 - 2/3, c_0101_2 - 8/9*c_1001_1^3 + 4/3*c_1001_1^2 + 16/9*c_1001_1 - 8/9, c_1001_1^4 + 1/2*c_1001_1^3 - 11/4*c_1001_1^2 - 15/8*c_1001_1 + 5/16 ], 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_1, c_0101_2, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 656632/110841*c_1001_1^7 + 590820/36947*c_1001_1^6 + 431234/110841*c_1001_1^5 - 2704117/110841*c_1001_1^4 - 644036/36947*c_1001_1^3 + 493739/110841*c_1001_1^2 + 629087/110841*c_1001_1 + 184916/110841, c_0011_0 - 1, c_0011_3 + 45648/36947*c_1001_1^7 + 69760/36947*c_1001_1^6 - 63256/36947*c_1001_1^5 - 148740/36947*c_1001_1^4 + 29247/36947*c_1001_1^3 + 54844/36947*c_1001_1^2 + 20126/36947*c_1001_1 - 29296/36947, c_0011_5 + 272/36947*c_1001_1^7 - 3832/36947*c_1001_1^6 - 27676/36947*c_1001_1^5 - 12930/36947*c_1001_1^4 + 67114/36947*c_1001_1^3 + 43205/36947*c_1001_1^2 - 41010/36947*c_1001_1 - 10729/36947, c_0101_1 + 272/36947*c_1001_1^7 - 3832/36947*c_1001_1^6 - 27676/36947*c_1001_1^5 - 12930/36947*c_1001_1^4 + 67114/36947*c_1001_1^3 + 43205/36947*c_1001_1^2 - 41010/36947*c_1001_1 - 10729/36947, c_0101_2 + 1288/36947*c_1001_1^7 + 16628/36947*c_1001_1^6 + 16734/36947*c_1001_1^5 - 22107/36947*c_1001_1^4 - 36452/36947*c_1001_1^3 - 22527/36947*c_1001_1^2 - 766/36947*c_1001_1 + 19829/36947, c_1001_1^8 + 3/2*c_1001_1^7 - 7/4*c_1001_1^6 - 29/8*c_1001_1^5 + 9/8*c_1001_1^4 + 2*c_1001_1^3 + 1/8*c_1001_1^2 - 5/8*c_1001_1 + 3/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB