Magma V2.19-8 Tue Aug 20 2013 16:14:36 on localhost [Seed = 2160139398] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s582 geometric_solution 5.04637014 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1302 2031 0132 0132 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 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 0.511589174863 0.426058772542 3 4 2 0 0132 0132 2031 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 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 0.633023415992 0.633456022603 4 3 0 1 2310 3201 0132 1302 0 0 0 0 0 -1 0 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 -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 0.633023415992 0.633456022603 1 5 2 5 0132 0132 2310 1023 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 -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 0.960872129442 1.058408111885 4 1 2 4 3012 0132 3201 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.210679407124 0.789860012584 5 3 5 3 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491650969475 0.201667421556 ==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' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0011_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_1']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_1, c_0101_1, c_0101_2, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 365*c_0110_5^10 - 1979*c_0110_5^9 - 51*c_0110_5^8 + 18231*c_0110_5^7 - 43844*c_0110_5^6 + 51204*c_0110_5^5 - 43177*c_0110_5^4 + 27737*c_0110_5^3 - 12626*c_0110_5^2 + 3902*c_0110_5 - 619, c_0011_0 - 1, c_0011_1 + 228*c_0110_5^10 - 1241*c_0110_5^9 - 7*c_0110_5^8 + 11395*c_0110_5^7 - 27626*c_0110_5^6 + 32503*c_0110_5^5 - 27514*c_0110_5^4 + 17752*c_0110_5^3 - 8139*c_0110_5^2 + 2543*c_0110_5 - 411, c_0101_1 + 183*c_0110_5^10 - 997*c_0110_5^9 - c_0110_5^8 + 9148*c_0110_5^7 - 22218*c_0110_5^6 + 26181*c_0110_5^5 - 22183*c_0110_5^4 + 14329*c_0110_5^3 - 6578*c_0110_5^2 + 2059*c_0110_5 - 334, c_0101_2 + 24*c_0110_5^10 - 125*c_0110_5^9 - 28*c_0110_5^8 + 1183*c_0110_5^7 - 2637*c_0110_5^6 + 2902*c_0110_5^5 - 2401*c_0110_5^4 + 1475*c_0110_5^3 - 641*c_0110_5^2 + 187*c_0110_5 - 24, c_0101_4 + c_0110_5^10 - 5*c_0110_5^9 - 2*c_0110_5^8 + 48*c_0110_5^7 - 101*c_0110_5^6 + 109*c_0110_5^5 - 91*c_0110_5^4 + 54*c_0110_5^3 - 25*c_0110_5^2 + 6*c_0110_5 - 1, c_0110_5^11 - 6*c_0110_5^10 + 3*c_0110_5^9 + 50*c_0110_5^8 - 149*c_0110_5^7 + 210*c_0110_5^6 - 200*c_0110_5^5 + 145*c_0110_5^4 - 79*c_0110_5^3 + 31*c_0110_5^2 - 8*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB