Magma V2.19-8 Tue Aug 20 2013 16:14:24 on localhost [Seed = 2328565384] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s401 geometric_solution 4.65050342 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 3 0132 0132 1023 0132 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 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 0.602267200468 0.395960813955 0 1 0 1 0132 1302 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574466215388 0.097048047130 4 0 3 3 0132 0132 2310 1230 0 0 0 0 0 1 -1 0 -1 0 0 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 -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 0.631320470324 1.119460960785 2 2 0 4 3012 3201 0132 1023 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 0 -1 1 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 0.631320470324 1.119460960785 2 5 5 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 1 0 -1 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 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 0.549530469377 0.634297466865 5 4 4 5 3201 0132 1023 2310 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.361833020101 0.522482408338 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_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_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_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), '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' : d['c_0011_3'], 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_2'])})} 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_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 12*c_0101_5^5 + 50*c_0101_5^4 - 25*c_0101_5^3 - 110*c_0101_5^2 - 3*c_0101_5 + 30, c_0011_0 - 1, c_0011_3 - c_0101_5^5 - 3*c_0101_5^4 + 6*c_0101_5^3 + 4*c_0101_5^2 - 4*c_0101_5 - 1, c_0101_0 + c_0101_5^5 + 4*c_0101_5^4 - 3*c_0101_5^3 - 10*c_0101_5^2 + c_0101_5 + 4, c_0101_1 + 3*c_0101_5^5 + 11*c_0101_5^4 - 11*c_0101_5^3 - 20*c_0101_5^2 + 4*c_0101_5 + 6, c_0101_2 - 3*c_0101_5^5 - 10*c_0101_5^4 + 14*c_0101_5^3 + 15*c_0101_5^2 - 6*c_0101_5 - 4, c_0101_5^6 + 3*c_0101_5^5 - 6*c_0101_5^4 - 4*c_0101_5^3 + 5*c_0101_5^2 + c_0101_5 - 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1/7*c_0101_5^9 - 11/7*c_0101_5^8 + 4/7*c_0101_5^7 + 8*c_0101_5^6 - 27/7*c_0101_5^5 - 104/7*c_0101_5^4 + 31/7*c_0101_5^3 + 81/7*c_0101_5^2 + 3/7*c_0101_5 - 23/7, c_0011_0 - 1, c_0011_3 - c_0101_5^9 + 6*c_0101_5^7 - 2*c_0101_5^6 - 13*c_0101_5^5 + 4*c_0101_5^4 + 13*c_0101_5^3 - c_0101_5^2 - 5*c_0101_5, c_0101_0 + c_0101_5^9 - 5*c_0101_5^7 + 2*c_0101_5^6 + 8*c_0101_5^5 - 2*c_0101_5^4 - 5*c_0101_5^3 - c_0101_5^2 + c_0101_5 - 1, c_0101_1 - 2*c_0101_5^9 + 11*c_0101_5^7 - 4*c_0101_5^6 - 20*c_0101_5^5 + 6*c_0101_5^4 + 14*c_0101_5^3 + 2*c_0101_5^2 - 3*c_0101_5, c_0101_2 - 3*c_0101_5^9 + 17*c_0101_5^7 - 6*c_0101_5^6 - 33*c_0101_5^5 + 10*c_0101_5^4 + 26*c_0101_5^3 + c_0101_5^2 - 6*c_0101_5 - 1, c_0101_5^10 - 6*c_0101_5^8 + 2*c_0101_5^7 + 13*c_0101_5^6 - 4*c_0101_5^5 - 13*c_0101_5^4 + c_0101_5^3 + 6*c_0101_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB