Magma V2.19-8 Tue Aug 20 2013 16:19:26 on localhost [Seed = 3297073656] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3533 geometric_solution 6.89487614 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 -1 0 1 1 0 -1 0 1 -1 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 0.591383058555 0.529086724101 3 2 4 0 0132 3012 0132 0132 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 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 0.783465906907 0.718542817968 1 5 0 6 1230 0132 0132 0132 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 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 0.783465906907 0.718542817968 1 6 5 5 0132 1302 1230 3012 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 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 0.527728907906 0.944496442729 6 6 5 1 0213 3120 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669033545900 0.892116732974 4 2 3 3 2031 0132 1230 3012 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 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 0.527728907906 0.944496442729 4 4 2 3 0213 3120 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669033545900 0.892116732974 ==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' : d['c_0101_5'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_0101_5'], 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_2'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_0110_5'], 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : negation(d['c_0011_1']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_2, c_0101_0, c_0101_1, c_0101_5, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 4*c_0110_5^4 - 8*c_0110_5^3 + 9*c_0110_5^2 + 13*c_0110_5 + 13, c_0011_0 - 1, c_0011_1 + c_0110_5^5 + 3*c_0110_5^4 - 5*c_0110_5^2 - 7*c_0110_5 - 3, c_0011_2 - c_0110_5^5 - 2*c_0110_5^4 + 2*c_0110_5^3 + 3*c_0110_5^2 + 4*c_0110_5 + 1, c_0101_0 - c_0110_5^4 - 2*c_0110_5^3 + 3*c_0110_5^2 + 4*c_0110_5 + 2, c_0101_1 + c_0110_5 + 1, c_0101_5 + c_0110_5^4 + 2*c_0110_5^3 - 2*c_0110_5^2 - 3*c_0110_5 - 2, c_0110_5^6 + 3*c_0110_5^5 - 5*c_0110_5^3 - 7*c_0110_5^2 - 4*c_0110_5 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_2, c_0101_0, c_0101_1, c_0101_5, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 291/40*c_0110_5^7 - 51/2*c_0110_5^6 + 171/5*c_0110_5^5 - 519/10*c_0110_5^4 + 4469/40*c_0110_5^3 - 835/8*c_0110_5^2 + 59/40*c_0110_5 + 663/20, c_0011_0 - 1, c_0011_1 + 8/11*c_0110_5^7 - 18/11*c_0110_5^6 + 16/11*c_0110_5^5 - 39/11*c_0110_5^4 + 75/11*c_0110_5^3 - 30/11*c_0110_5^2 - 21/11*c_0110_5 + 8/11, c_0011_2 + 8/11*c_0110_5^7 - 18/11*c_0110_5^6 + 16/11*c_0110_5^5 - 39/11*c_0110_5^4 + 75/11*c_0110_5^3 - 30/11*c_0110_5^2 - 21/11*c_0110_5 + 8/11, c_0101_0 - 6/11*c_0110_5^7 + 8/11*c_0110_5^6 - 1/11*c_0110_5^5 + 21/11*c_0110_5^4 - 26/11*c_0110_5^3 - 27/11*c_0110_5^2 + 24/11*c_0110_5 + 5/11, c_0101_1 - c_0110_5, c_0101_5 - 3/11*c_0110_5^7 + 4/11*c_0110_5^6 - 6/11*c_0110_5^5 + 16/11*c_0110_5^4 - 13/11*c_0110_5^3 + 14/11*c_0110_5^2 - 10/11*c_0110_5 - 14/11, c_0110_5^8 - 3*c_0110_5^7 + 3*c_0110_5^6 - 5*c_0110_5^5 + 12*c_0110_5^4 - 7*c_0110_5^3 - 6*c_0110_5^2 + 4*c_0110_5 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB