Magma V2.19-8 Tue Aug 20 2013 16:14:19 on localhost [Seed = 442205758] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s302 geometric_solution 4.46625088 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 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 -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 1.513274960760 0.324735252236 0 2 2 0 3201 0132 1023 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 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 1.026713911108 0.406486323537 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 1 0 -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 -1 0 1 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 0.618190145333 0.276729653212 2 4 5 4 0132 0321 0132 3201 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 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 0.477201328028 1.196383499982 5 3 2 3 1023 2310 0132 0321 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 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 0.477201328028 1.196383499982 5 4 5 3 2310 1023 3201 0132 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 -1 0 0 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 -0.287634494917 0.721123650612 ==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' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_1']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0011_1']), 'c_1010_5' : negation(d['c_0011_1']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_2'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 3045115/311138*c_0101_2*c_0101_3^7 - 41356265/311138*c_0101_2*c_0101_3^6 + 2658414/155569*c_0101_2*c_0101_3^5 - 28847538/155569*c_0101_2*c_0101_3^4 + 20912340/155569*c_0101_2*c_0101_3^3 + 64710205/155569*c_0101_2*c_0101_3^2 - 2288039/311138*c_0101_2*c_0101_3 - 11556541/155569*c_0101_2, c_0011_0 - 1, c_0011_1 - 36374/155569*c_0101_3^7 - 496551/155569*c_0101_3^6 + 19172/155569*c_0101_3^5 - 811986/155569*c_0101_3^4 + 524450/155569*c_0101_3^3 + 1283080/155569*c_0101_3^2 + 400311/155569*c_0101_3 - 38211/155569, c_0011_4 - 39096/155569*c_0101_2*c_0101_3^7 - 524540/155569*c_0101_2*c_0101_3^6 + 149539/155569*c_0101_2*c_0101_3^5 - 835284/155569*c_0101_2*c_0101_3^4 + 650253/155569*c_0101_2*c_0101_3^3 + 1424031/155569*c_0101_2*c_0101_3^2 - 135108/155569*c_0101_2*c_0101_3 - 166547/155569*c_0101_2, c_0101_0 + 576/155569*c_0101_2*c_0101_3^7 + 16896/155569*c_0101_2*c_0101_3^6 + 105807/155569*c_0101_2*c_0101_3^5 - 233510/155569*c_0101_2*c_0101_3^4 + 97857/155569*c_0101_2*c_0101_3^3 - 705140/155569*c_0101_2*c_0101_3^2 - 451824/155569*c_0101_2*c_0101_3 + 229934/155569*c_0101_2, c_0101_2^2 - 44630/155569*c_0101_3^7 - 583158/155569*c_0101_3^6 + 369433/155569*c_0101_3^5 - 1146809/155569*c_0101_3^4 + 1299799/155569*c_0101_3^3 + 1018820/155569*c_0101_3^2 - 124150/155569*c_0101_3 - 118839/155569, c_0101_3^8 + 14*c_0101_3^7 + 4*c_0101_3^6 + 19*c_0101_3^5 - 6*c_0101_3^4 - 48*c_0101_3^3 - 19*c_0101_3^2 + 3*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB