Magma V2.19-8 Tue Aug 20 2013 16:08:57 on localhost [Seed = 1814950612] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m197 geometric_solution 4.04174322 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 5 1 2 1 3 0132 0132 0321 0132 0 0 0 0 0 -1 0 1 -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 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 0.806382494155 1.061816148313 0 2 0 3 0132 3201 0321 2310 0 0 0 0 0 0 0 0 1 0 0 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.806382494155 1.061816148313 2 0 1 2 3201 0132 2310 2310 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 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 -0.453608401139 0.597295611983 1 4 0 4 3201 0132 0132 2310 0 0 0 0 0 0 -1 1 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 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 1.151001466511 0.541876615118 3 3 4 4 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 0.519581757073 0.347662421450 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_4' : 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_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_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0110_4'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], '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_4' : negation(d['c_0110_4']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : negation(d['c_0101_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 2454/311*c_0110_4^8 - 3201/311*c_0110_4^7 - 13463/311*c_0110_4^6 - 6843/311*c_0110_4^5 + 4027/311*c_0110_4^4 + 443/311*c_0110_4^3 + 22241/311*c_0110_4^2 - 1218/311*c_0110_4 - 5866/311, c_0011_0 - 1, c_0011_3 + 136/311*c_0110_4^8 + 258/311*c_0110_4^7 + 884/311*c_0110_4^6 + 929/311*c_0110_4^5 + 247/311*c_0110_4^4 + 217/311*c_0110_4^3 - 1226/311*c_0110_4^2 - 829/311*c_0110_4 + 172/311, c_0101_0 - 341/311*c_0110_4^8 - 560/311*c_0110_4^7 - 2061/311*c_0110_4^6 - 1609/311*c_0110_4^5 + 69/311*c_0110_4^4 + 286/311*c_0110_4^3 + 3353/311*c_0110_4^2 + 782/311*c_0110_4 - 477/311, c_0101_4 + 310/311*c_0110_4^8 + 396/311*c_0110_4^7 + 1704/311*c_0110_4^6 + 869/311*c_0110_4^5 - 402/311*c_0110_4^4 + 51/311*c_0110_4^3 - 2822/311*c_0110_4^2 - 202/311*c_0110_4 + 575/311, c_0110_4^9 + c_0110_4^8 + 5*c_0110_4^7 + c_0110_4^6 - 3*c_0110_4^5 - 9*c_0110_4^3 + 3*c_0110_4^2 + 3*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB