Magma V2.19-8 Tue Aug 20 2013 16:18:48 on localhost [Seed = 2816883416] 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' : 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' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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' : d['1'], 's_0_1' : 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' : 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: 5 Groebner basis: [ t + 2/7*c_1001_0^4 + 6/7*c_1001_0^3 + 2/7*c_1001_0^2 + 5/7*c_1001_0 + 12/7, c_0011_0 - 1, c_0011_3 - 4*c_1001_0^4 - 6*c_1001_0^3 + 5*c_1001_0^2 - 4*c_1001_0 - 19, c_0011_4 + 3*c_1001_0^4 + 4*c_1001_0^3 - 4*c_1001_0^2 + 3*c_1001_0 + 13, c_0101_0 - 3*c_1001_0^4 - 5*c_1001_0^3 + 4*c_1001_0^2 - 2*c_1001_0 - 16, c_0101_1 - 1, c_0110_2 - 3*c_1001_0^4 - 4*c_1001_0^3 + 4*c_1001_0^2 - 3*c_1001_0 - 13, c_1001_0^5 + 3*c_1001_0^4 + c_1001_0^3 - c_1001_0^2 + 6*c_1001_0 + 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: 6 Groebner basis: [ t - 3493947/10493*c_1001_0^5 - 111642381/272818*c_1001_0^4 + 25935033/20986*c_1001_0^3 + 30439931/38974*c_1001_0^2 - 12922405/19487*c_1001_0 - 18028333/38974, c_0011_0 - 1, c_0011_3 - 4043/1499*c_1001_0^5 - 11359/2998*c_1001_0^4 + 28485/2998*c_1001_0^3 + 22799/2998*c_1001_0^2 - 7079/1499*c_1001_0 - 9219/2998, c_0011_4 + 6071/2998*c_1001_0^5 + 3359/2998*c_1001_0^4 - 25727/2998*c_1001_0^3 + 916/1499*c_1001_0^2 + 13705/2998*c_1001_0 + 1616/1499, c_0101_0 + 10621/5996*c_1001_0^5 + 7883/2998*c_1001_0^4 - 7759/1499*c_1001_0^3 - 27433/5996*c_1001_0^2 + 6701/5996*c_1001_0 + 9933/5996, c_0101_1 + 5551/5996*c_1001_0^5 + 1738/1499*c_1001_0^4 - 12967/2998*c_1001_0^3 - 18165/5996*c_1001_0^2 + 27611/5996*c_1001_0 + 14501/5996, c_0110_2 + 14157/2998*c_1001_0^5 + 7359/1499*c_1001_0^4 - 27106/1499*c_1001_0^3 - 20967/2998*c_1001_0^2 + 27863/2998*c_1001_0 + 12451/2998, c_1001_0^6 + 21/13*c_1001_0^5 - 42/13*c_1001_0^4 - 49/13*c_1001_0^3 + 14/13*c_1001_0^2 + 28/13*c_1001_0 + 7/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB