Magma V2.19-8 Tue Aug 20 2013 16:18:48 on localhost [Seed = 2901225939] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2966 geometric_solution 6.14980751 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0.658641831800 0.445228966611 0 5 6 3 0132 0132 0132 2031 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 1 -1 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 -0.042092312331 0.704433974477 4 0 6 6 3120 0132 0213 1302 0 0 0 0 0 0 0 0 0 0 1 -1 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 -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 0.607752228345 1.049131510021 3 1 3 0 2031 1302 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671528376747 0.222896383917 5 5 0 2 3120 2031 0132 3120 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 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 0.946818610951 0.823038993957 4 1 6 4 1302 0132 2103 3120 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 -1 1 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 0.078182464525 1.209957432453 5 2 2 1 2103 0213 2031 0132 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 -1 0 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 0.312663813057 0.836271056270 ==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' : negation(d['1']), 's_2_2' : negation(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' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_3'], '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_0011_3'], 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_6' : negation(d['c_0110_2']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0110_2']), '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_0110_2'], 'c_0110_5' : d['c_0110_2'], 'c_0110_4' : d['c_0110_2'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0110_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_3, c_0011_4, c_0101_0, c_0101_1, c_0110_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 16733/242*c_1001_0^5 + 43229/242*c_1001_0^4 + 51761/242*c_1001_0^3 - 177161/847*c_1001_0^2 - 232319/1694*c_1001_0 - 31993/847, c_0011_0 - 1, c_0011_3 - 147/121*c_1001_0^5 - 777/242*c_1001_0^4 - 959/242*c_1001_0^3 + 791/242*c_1001_0^2 + 314/121*c_1001_0 + 45/242, c_0011_4 - 259/242*c_1001_0^5 - 833/242*c_1001_0^4 - 1239/242*c_1001_0^3 + 155/121*c_1001_0^2 + 1065/242*c_1001_0 + 164/121, c_0101_0 - 287/484*c_1001_0^5 - 224/121*c_1001_0^4 - 273/121*c_1001_0^3 + 895/484*c_1001_0^2 + 1305/484*c_1001_0 + 51/484, c_0101_1 - 875/484*c_1001_0^5 - 1225/242*c_1001_0^4 - 1505/242*c_1001_0^3 + 2477/484*c_1001_0^2 + 3045/484*c_1001_0 + 625/484, c_0110_2 + 35/242*c_1001_0^5 - 28/121*c_1001_0^4 - 140/121*c_1001_0^3 - 481/242*c_1001_0^2 + 437/242*c_1001_0 + 283/242, c_1001_0^6 + 3*c_1001_0^5 + 4*c_1001_0^4 - 15/7*c_1001_0^3 - 26/7*c_1001_0^2 - 6/7*c_1001_0 - 1/7 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0110_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 6483/386480*c_1001_0^7 - 16293/386480*c_1001_0^6 - 26791/193240*c_1001_0^5 - 4313/24155*c_1001_0^4 - 25597/77296*c_1001_0^3 - 61869/193240*c_1001_0^2 - 128829/193240*c_1001_0 + 53723/77296, c_0011_0 - 1, c_0011_3 + 151/4831*c_1001_0^7 + 726/4831*c_1001_0^6 + 1289/4831*c_1001_0^5 + 1617/4831*c_1001_0^4 - 2084/4831*c_1001_0^3 - 2557/4831*c_1001_0^2 + 1215/4831*c_1001_0 + 2208/4831, c_0011_4 + 737/9662*c_1001_0^7 + 460/4831*c_1001_0^6 + 1562/4831*c_1001_0^5 - 293/4831*c_1001_0^4 - 3293/9662*c_1001_0^3 + 1085/9662*c_1001_0^2 + 1899/9662*c_1001_0 - 2354/4831, c_0101_0 + 52/4831*c_1001_0^7 + 314/4831*c_1001_0^6 - 68/4831*c_1001_0^5 - 179/4831*c_1001_0^4 - 3949/4831*c_1001_0^3 - 3568/4831*c_1001_0^2 + 2402/4831*c_1001_0 + 2552/4831, c_0101_1 - 1, c_0110_2 - 737/9662*c_1001_0^7 - 460/4831*c_1001_0^6 - 1562/4831*c_1001_0^5 + 293/4831*c_1001_0^4 + 3293/9662*c_1001_0^3 - 1085/9662*c_1001_0^2 - 1899/9662*c_1001_0 + 2354/4831, c_1001_0^8 + c_1001_0^7 + 4*c_1001_0^6 - 4*c_1001_0^5 - 5*c_1001_0^4 - 4*c_1001_0^3 + 6*c_1001_0^2 - 5*c_1001_0 + 10 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB