Magma V2.19-8 Tue Aug 20 2013 16:14:10 on localhost [Seed = 2699115654] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s131 geometric_solution 4.14885094 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 0132 0132 3201 0132 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 1 -1 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.404996359978 0.706585475409 0 3 4 4 0132 0132 3201 0132 0 0 0 0 0 1 0 -1 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 0 0 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 0.225652943121 0.319460878503 0 0 5 5 2310 0132 2310 0132 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 -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 2.038619203181 1.286683875386 5 1 0 5 3012 0132 0132 1230 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 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 0.404996359978 0.706585475409 1 4 1 4 2310 2310 0132 3201 0 0 0 0 0 -1 1 0 -1 0 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 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 -1.419835317486 0.735411909166 3 2 2 3 3012 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.379850348573 0.470574120979 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : negation(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_4' : d['1'], 's_0_5' : negation(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' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_0'], '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' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 1496/3*c_0101_2^9 + 1846/3*c_0101_2^8 - 2439*c_0101_2^7 - 10616/3*c_0101_2^6 + 8252/3*c_0101_2^5 + 3642*c_0101_2^4 - 7771/3*c_0101_2^3 - 3575/3*c_0101_2^2 + 3857/3*c_0101_2 - 835/3, c_0011_0 - 1, c_0011_4 + 60*c_0101_2^9 + 81*c_0101_2^8 - 283*c_0101_2^7 - 460*c_0101_2^6 + 269*c_0101_2^5 + 473*c_0101_2^4 - 234*c_0101_2^3 - 167*c_0101_2^2 + 122*c_0101_2 - 19, c_0011_5 + c_0101_2, c_0101_0 + 32*c_0101_2^9 + 44*c_0101_2^8 - 149*c_0101_2^7 - 245*c_0101_2^6 + 137*c_0101_2^5 + 238*c_0101_2^4 - 134*c_0101_2^3 - 83*c_0101_2^2 + 70*c_0101_2 - 13, c_0101_1 + 4*c_0101_2^9 + 3*c_0101_2^8 - 22*c_0101_2^7 - 19*c_0101_2^6 + 36*c_0101_2^5 + 19*c_0101_2^4 - 35*c_0101_2^3 + 16*c_0101_2 - 6, c_0101_2^10 + 3/4*c_0101_2^9 - 11/2*c_0101_2^8 - 19/4*c_0101_2^7 + 9*c_0101_2^6 + 19/4*c_0101_2^5 - 35/4*c_0101_2^4 + 15/4*c_0101_2^2 - 7/4*c_0101_2 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB