Magma V2.19-8 Tue Aug 20 2013 16:19:24 on localhost [Seed = 1427425364] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3499 geometric_solution 6.76250998 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 2310 0 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 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 -0.093237787565 1.100381755467 0 0 4 3 0132 3201 0132 0132 0 0 0 0 0 1 -1 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 -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 0.076453663148 0.902297429655 0 0 6 5 3201 0132 0132 0132 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 1 0 -1 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 0.076453663148 0.902297429655 4 5 1 5 0321 0132 0132 2103 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 0.397793512856 0.827230572624 3 6 6 1 0321 3201 2310 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 0.279468119267 1.000584910026 6 3 2 3 0321 0132 0132 2103 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397793512856 0.827230572624 5 4 4 2 0321 3201 2310 0132 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 -1 0 0 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 0.279468119267 1.000584910026 ==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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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' : d['c_1001_0'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_0']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0101_5'])})} 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_3, c_0011_4, c_0011_6, c_0101_0, c_0101_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1/4*c_0101_5^3 + 1/2*c_0101_5^2 + 1/4, c_0011_0 - 1, c_0011_3 + 1/2*c_0101_5^3 + c_0101_5^2 + 3/2, c_0011_4 + 1/2*c_0101_5^3 + 3/2, c_0011_6 + c_0101_5^3 + c_0101_5^2 + 2, c_0101_0 - 1/2*c_0101_5^3 - c_0101_5^2 - c_0101_5 - 3/2, c_0101_5^4 + c_0101_5^3 + 3*c_0101_5 - 1, c_1001_0 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 6170672/25397*c_1001_0^9 + 8145508/25397*c_1001_0^8 - 10490412/25397*c_1001_0^7 + 13019839/25397*c_1001_0^6 - 9642275/25397*c_1001_0^5 + 28608777/101588*c_1001_0^4 - 16554237/101588*c_1001_0^3 + 9628029/101588*c_1001_0^2 - 204015/25397*c_1001_0 + 333911/25397, c_0011_0 - 1, c_0011_3 + 257408/25397*c_1001_0^9 - 308832/25397*c_1001_0^8 + 456624/25397*c_1001_0^7 - 478768/25397*c_1001_0^6 + 401144/25397*c_1001_0^5 - 264036/25397*c_1001_0^4 + 138155/25397*c_1001_0^3 - 57792/25397*c_1001_0^2 - 23826/25397*c_1001_0 + 6600/25397, c_0011_4 - 231552/25397*c_1001_0^9 + 269728/25397*c_1001_0^8 - 281840/25397*c_1001_0^7 + 384000/25397*c_1001_0^6 - 246532/25397*c_1001_0^5 + 123474/25397*c_1001_0^4 - 59276/25397*c_1001_0^3 + 612/25397*c_1001_0^2 + 29288/25397*c_1001_0 - 9309/25397, c_0011_6 + 231552/25397*c_1001_0^9 - 269728/25397*c_1001_0^8 + 281840/25397*c_1001_0^7 - 384000/25397*c_1001_0^6 + 246532/25397*c_1001_0^5 - 123474/25397*c_1001_0^4 + 59276/25397*c_1001_0^3 - 612/25397*c_1001_0^2 - 29288/25397*c_1001_0 + 9309/25397, c_0101_0 + 123136/25397*c_1001_0^9 - 298880/25397*c_1001_0^8 + 353616/25397*c_1001_0^7 - 411088/25397*c_1001_0^6 + 389312/25397*c_1001_0^5 - 201702/25397*c_1001_0^4 + 115898/25397*c_1001_0^3 - 58827/25397*c_1001_0^2 - 1648/25397*c_1001_0 + 13753/25397, c_0101_5 - 123136/25397*c_1001_0^9 + 298880/25397*c_1001_0^8 - 353616/25397*c_1001_0^7 + 411088/25397*c_1001_0^6 - 389312/25397*c_1001_0^5 + 201702/25397*c_1001_0^4 - 115898/25397*c_1001_0^3 + 58827/25397*c_1001_0^2 + 1648/25397*c_1001_0 - 13753/25397, c_1001_0^10 - 3/4*c_1001_0^9 + 5/4*c_1001_0^8 - 21/16*c_1001_0^7 + 13/16*c_1001_0^6 - 35/64*c_1001_0^5 + 19/64*c_1001_0^4 - 7/64*c_1001_0^3 - 3/32*c_1001_0^2 - 1/32*c_1001_0 - 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB