Magma V2.19-8 Tue Aug 20 2013 16:14:52 on localhost [Seed = 3768679560] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s845 geometric_solution 5.43237419 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 3120 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656415019049 0.968505703526 0 0 5 4 0132 3120 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347677309305 0.310686510335 4 5 4 0 0132 3012 1230 0132 0 0 0 0 0 1 0 -1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708817257472 0.486300192489 3 3 0 4 1302 2031 0132 2031 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 1 0 -1 -1 0 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202763804494 0.770792928766 2 3 1 2 0132 1302 0132 3012 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 0 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 1.005641442797 0.994292084503 2 5 5 1 1230 1230 3012 0132 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400789681847 1.429063846680 ==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_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' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_2'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_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_2, c_0011_5, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 547/73*c_0101_5^9 - 137/73*c_0101_5^8 - 3225/73*c_0101_5^7 + 4100/73*c_0101_5^6 - 2259/73*c_0101_5^5 - 436/73*c_0101_5^4 + 1824/73*c_0101_5^3 + 2169/73*c_0101_5^2 - 1665/73*c_0101_5 + 2119/73, c_0011_0 - 1, c_0011_2 + 6/73*c_0101_5^9 + 38/73*c_0101_5^8 + 10/73*c_0101_5^7 - 144/73*c_0101_5^6 + 25/73*c_0101_5^5 + 49/73*c_0101_5^4 - 134/73*c_0101_5^3 - 40/73*c_0101_5^2 + 124/73*c_0101_5 - 24/73, c_0011_5 + 2/73*c_0101_5^9 + 37/73*c_0101_5^8 - 21/73*c_0101_5^7 - 267/73*c_0101_5^6 + 203/73*c_0101_5^5 + 138/73*c_0101_5^4 - 69/73*c_0101_5^3 + 84/73*c_0101_5^2 + 236/73*c_0101_5 - 8/73, c_0101_0 - 16/73*c_0101_5^9 - 4/73*c_0101_5^8 + 95/73*c_0101_5^7 - 127/73*c_0101_5^6 - 91/73*c_0101_5^5 + 210/73*c_0101_5^4 + 41/73*c_0101_5^3 - 15/73*c_0101_5^2 + 156/73*c_0101_5 + 64/73, c_0101_2 + 22/73*c_0101_5^9 + 42/73*c_0101_5^8 - 85/73*c_0101_5^7 - 90/73*c_0101_5^6 - 30/73*c_0101_5^5 + 58/73*c_0101_5^4 - 29/73*c_0101_5^3 + 121/73*c_0101_5^2 + 114/73*c_0101_5 + 58/73, c_0101_5^10 - 6*c_0101_5^8 + 6*c_0101_5^7 - 2*c_0101_5^6 - 2*c_0101_5^5 + 3*c_0101_5^4 + 5*c_0101_5^3 - 2*c_0101_5^2 + 3*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB