Magma V2.19-8 Tue Aug 20 2013 16:14:28 on localhost [Seed = 4299781] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s455 geometric_solution 4.77795621 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 0132 0132 3120 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 -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 1.405555841393 0.995051519300 0 4 5 3 0132 0132 0132 1230 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 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 0.327716544645 0.246967872628 5 0 0 3 2310 0132 3120 3201 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 1 0 -1 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 1.405555841393 0.995051519300 1 2 0 4 3012 2310 0132 1230 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 -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 0.001858293814 0.357490576260 3 1 5 5 3012 0132 3201 2031 0 0 0 0 0 0 -1 1 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 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 0.248377870662 0.783257128824 4 4 2 1 2310 1302 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 -1 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 0.248377870662 0.783257128824 ==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' : 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' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : 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' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], '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' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_0']), 'c_1001_2' : negation(d['c_1001_0']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_1001_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_0011_5, c_0101_1, c_0101_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 32/9*c_0101_2 + 16/9, c_0011_0 - 1, c_0011_3 - c_0101_2 + 1/2, c_0011_5 + c_0101_2, c_0101_1 + 1/2, c_0101_2^2 - 1/2*c_0101_2 - 3/4, c_1001_0 - 1 ], 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_1, c_0101_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 52*c_1001_0^8 + 152*c_1001_0^7 + 30*c_1001_0^6 - 313*c_1001_0^5 - 223*c_1001_0^4 + 219*c_1001_0^3 + 121*c_1001_0^2 - 69*c_1001_0 - 36, c_0011_0 - 1, c_0011_3 - 52*c_1001_0^8 - 176*c_1001_0^7 - 126*c_1001_0^6 + 193*c_1001_0^5 + 229*c_1001_0^4 - 117*c_1001_0^3 - 108*c_1001_0^2 + 30*c_1001_0 + 20, c_0011_5 + 60*c_1001_0^8 + 208*c_1001_0^7 + 158*c_1001_0^6 - 223*c_1001_0^5 - 289*c_1001_0^4 + 128*c_1001_0^3 + 148*c_1001_0^2 - 34*c_1001_0 - 29, c_0101_1 + 28*c_1001_0^8 + 92*c_1001_0^7 + 58*c_1001_0^6 - 113*c_1001_0^5 - 118*c_1001_0^4 + 72*c_1001_0^3 + 55*c_1001_0^2 - 18*c_1001_0 - 10, c_0101_2 + 52*c_1001_0^8 + 176*c_1001_0^7 + 126*c_1001_0^6 - 193*c_1001_0^5 - 229*c_1001_0^4 + 117*c_1001_0^3 + 108*c_1001_0^2 - 30*c_1001_0 - 20, c_1001_0^9 + 4*c_1001_0^8 + 9/2*c_1001_0^7 - 9/4*c_1001_0^6 - 27/4*c_1001_0^5 - 1/2*c_1001_0^4 + 7/2*c_1001_0^3 + 3/4*c_1001_0^2 - 3/4*c_1001_0 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB