Magma V2.19-8 Tue Aug 20 2013 16:14:05 on localhost [Seed = 2328565431] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s021 geometric_solution 3.54936435 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 2 0132 0132 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -5.082974177783 3.541510159649 0 0 3 3 0132 3201 3201 0132 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.159724017788 0.162634610664 0 0 2 2 3201 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.104247125110 0.046884652204 1 4 1 5 2310 0132 0132 0132 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746726036968 1.986696986390 5 3 5 5 3201 0132 2310 3120 0 0 0 0 0 1 -1 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 -1 1 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 0.037182106471 0.986152557176 4 4 3 4 3120 3201 0132 2310 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 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.037182106471 0.986152557176 ==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' : 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' : d['1'], 's_2_2' : negation(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_3']), 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0110_2'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), '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' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : negation(d['c_0110_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_0011_5, c_0101_0, c_0101_4, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 121351/14*c_0110_2^12 - 1553859/28*c_0110_2^11 + 3537757/28*c_0110_2^10 - 1023451/7*c_0110_2^9 - 3592672/7*c_0110_2^8 + 1210477/2*c_0110_2^7 + 2060427/2*c_0110_2^6 - 13799509/28*c_0110_2^5 - 14201099/14*c_0110_2^4 - 2136251/28*c_0110_2^3 + 1404955/4*c_0110_2^2 + 645613/4*c_0110_2 + 600181/28, c_0011_0 - 1, c_0011_3 - 8*c_0110_2^12 + 49*c_0110_2^11 - 102*c_0110_2^10 + 100*c_0110_2^9 + 517*c_0110_2^8 - 434*c_0110_2^7 - 1130*c_0110_2^6 + 219*c_0110_2^5 + 1111*c_0110_2^4 + 308*c_0110_2^3 - 352*c_0110_2^2 - 242*c_0110_2 - 44, c_0011_5 + 465*c_0110_2^12 - 2988*c_0110_2^11 + 6852*c_0110_2^10 - 8030*c_0110_2^9 - 27279*c_0110_2^8 + 33018*c_0110_2^7 + 54307*c_0110_2^6 - 27373*c_0110_2^5 - 53461*c_0110_2^4 - 3186*c_0110_2^3 + 18603*c_0110_2^2 + 8316*c_0110_2 + 1080, c_0101_0 + c_0110_2^12 - 6*c_0110_2^11 + 12*c_0110_2^10 - 11*c_0110_2^9 - 66*c_0110_2^8 + 46*c_0110_2^7 + 147*c_0110_2^6 - 9*c_0110_2^5 - 140*c_0110_2^4 - 56*c_0110_2^3 + 37*c_0110_2^2 + 36*c_0110_2 + 9, c_0101_4 + 35*c_0110_2^12 - 217*c_0110_2^11 + 463*c_0110_2^10 - 475*c_0110_2^9 - 2221*c_0110_2^8 + 2061*c_0110_2^7 + 4757*c_0110_2^6 - 1298*c_0110_2^5 - 4690*c_0110_2^4 - 989*c_0110_2^3 + 1547*c_0110_2^2 + 910*c_0110_2 + 145, c_0110_2^13 - 6*c_0110_2^12 + 12*c_0110_2^11 - 11*c_0110_2^10 - 66*c_0110_2^9 + 46*c_0110_2^8 + 147*c_0110_2^7 - 9*c_0110_2^6 - 140*c_0110_2^5 - 56*c_0110_2^4 + 37*c_0110_2^3 + 35*c_0110_2^2 + 10*c_0110_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB