Magma V2.19-8 Tue Aug 20 2013 16:14:41 on localhost [Seed = 812756015] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s659 geometric_solution 5.15451774 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 3 0132 0132 0132 2310 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 1 0 -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 0.909768620203 0.888623226247 0 4 3 2 0132 0132 3012 1302 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 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 0.418145776711 0.812860214797 4 0 1 3 2310 0132 2031 3012 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 -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 0.418145776711 0.812860214797 0 1 2 0 3201 1230 1230 0132 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.807802015695 0.675784826739 5 1 2 5 0132 0132 3201 3201 0 0 0 0 0 0 0 0 -1 0 1 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 1 -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 0.039444910363 0.643822488438 4 4 5 5 0132 2310 1230 3012 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 -1 1 0 1 0 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 2.161447800644 0.666157687318 ==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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(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' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), '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_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: 14 Groebner basis: [ t - 139649103733/528624501517*c_0101_5^13 + 37427258769489/1057249003034*c_0101_5^11 - 131775745408949/1057249003034*c_0101_5^9 + 110202112695471/528624501517*c_0101_5^7 - 14755723775624/75517785931*c_0101_5^5 + 56443738539599/528624501517*c_0101_5^3 - 35918662026399/1057249003034*c_0101_5, c_0011_0 - 1, c_0011_3 - 406958/142755739*c_0101_5^12 + 54629219/142755739*c_0101_5^10 - 204698059/142755739*c_0101_5^8 + 361579459/142755739*c_0101_5^6 - 371790271/142755739*c_0101_5^4 + 291775933/142755739*c_0101_5^2 - 49217453/142755739, c_0101_0 + 4430941/999290173*c_0101_5^13 - 592806534/999290173*c_0101_5^11 + 1972353401/999290173*c_0101_5^9 - 4419402313/999290173*c_0101_5^7 + 580761037/142755739*c_0101_5^5 - 1141491128/999290173*c_0101_5^3 - 712350418/999290173*c_0101_5, c_0101_1 + 13601353/999290173*c_0101_5^12 - 1799402579/999290173*c_0101_5^10 + 3325215743/999290173*c_0101_5^8 - 2769095801/999290173*c_0101_5^6 + 94951306/142755739*c_0101_5^4 - 387719240/999290173*c_0101_5^2 + 767995833/999290173, c_0101_2 + 4066882/142755739*c_0101_5^13 - 544555230/142755739*c_0101_5^11 + 1860872203/142755739*c_0101_5^9 - 413466575/20393677*c_0101_5^7 + 2334763307/142755739*c_0101_5^5 - 860474975/142755739*c_0101_5^3 + 94992726/142755739*c_0101_5, c_0101_5^14 - 134*c_0101_5^12 + 471*c_0101_5^10 - 762*c_0101_5^8 + 663*c_0101_5^6 - 303*c_0101_5^4 + 60*c_0101_5^2 + 23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB