Magma V2.19-8 Tue Aug 20 2013 16:14:31 on localhost [Seed = 610646052] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s497 geometric_solution 4.88053646 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 0 2 0 0132 1302 0132 2031 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 -1 1 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 -0.214180755771 0.933357342626 0 2 4 3 0132 3201 0132 0132 0 0 0 0 0 0 -1 1 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 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 0.679047873396 1.099510995399 5 4 1 0 0132 1023 2310 0132 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 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 0.679047873396 1.099510995399 4 5 1 5 1023 3120 0132 0213 0 0 0 0 0 0 -1 1 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.646945329583 0.372124150469 2 3 5 1 1023 1023 1023 0132 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 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 0.687097183245 0.188969049954 2 3 4 3 0132 3120 1023 0213 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 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 0.646945329583 0.372124150469 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], '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_2']), 'c_0011_4' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_4']), '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_2, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 160/9*c_0101_4^2 + 80/9*c_0101_4 - 104/3, c_0011_0 - 1, c_0011_2 + 2/3*c_0101_4^2 + 1/3*c_0101_4 - 1/2, c_0101_0 - 4/3*c_0101_4^2 - 2/3*c_0101_4 + 1, c_0101_1 - 4/3*c_0101_4^2 - 2/3*c_0101_4 + 1, c_0101_2 - c_0101_4 - 1/2, c_0101_4^4 + c_0101_4^3 - 2*c_0101_4^2 - 9/8*c_0101_4 + 9/16 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 32*c_0101_4^8 - 86*c_0101_4^7 - 23*c_0101_4^6 + 285*c_0101_4^5 - 183/2*c_0101_4^4 - 338*c_0101_4^3 + 395/2*c_0101_4^2 + 167/2*c_0101_4 - 103/2, c_0011_0 - 1, c_0011_2 - 10*c_0101_4^8 + 13*c_0101_4^7 + 31*c_0101_4^6 - 56*c_0101_4^5 - 62*c_0101_4^4 + 56*c_0101_4^3 + 35*c_0101_4^2 - 14*c_0101_4 - 6, c_0101_0 - 10*c_0101_4^8 + 7*c_0101_4^7 + 40*c_0101_4^6 - 40*c_0101_4^5 - 98*c_0101_4^4 + 29*c_0101_4^3 + 70*c_0101_4^2 - 6*c_0101_4 - 14, c_0101_1 - 2*c_0101_4^8 + c_0101_4^7 + 9*c_0101_4^6 - 7*c_0101_4^5 - 24*c_0101_4^4 + 5*c_0101_4^3 + 22*c_0101_4^2 - c_0101_4 - 6, c_0101_2 + c_0101_4, c_0101_4^9 - 3/2*c_0101_4^8 - 3*c_0101_4^7 + 13/2*c_0101_4^6 + 11/2*c_0101_4^5 - 8*c_0101_4^4 - 3*c_0101_4^3 + 7/2*c_0101_4^2 + 1/2*c_0101_4 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB