Magma V2.19-8 Tue Aug 20 2013 16:19:02 on localhost [Seed = 661043788] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3181 geometric_solution 6.32807460 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.283300191521 0.780036327177 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 1 0 -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 -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 0.137391057806 1.035179093465 3 0 4 5 0132 0132 0132 2310 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.137391057806 1.035179093465 2 1 6 6 0132 0132 0132 2310 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 1 -1 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 -0.635083921544 0.904273959600 4 4 1 2 1230 3012 0132 0132 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 -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 0.898332190393 1.213883237901 2 5 5 1 3201 3201 2310 0132 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.256121829056 0.735971396003 3 6 6 3 3201 1230 3012 0132 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 0 -1 1 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 -0.009009938840 0.727466192130 ==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' : negation(d['1']), 's_2_0' : negation(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_2_6' : d['1'], 's_1_6' : 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_6' : 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_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 512*c_0101_0*c_0101_1 - 128*c_0101_0, c_0011_0 - 1, c_0011_4 - 2*c_0101_0*c_0101_1 - c_0101_0, c_0011_5 - c_0101_0, c_0011_6 - c_0101_1 - 1/2, c_0101_0^2 - 1/2*c_0101_1 - 1/4, c_0101_1^2 + 1/2*c_0101_1 - 1/4, c_0101_3 + 1/2 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 2352/253*c_0101_0*c_0101_3^4 + 10812/253*c_0101_0*c_0101_3^3 - 321/11*c_0101_0*c_0101_3^2 - 28983/253*c_0101_0*c_0101_3 + 21917/253*c_0101_0, c_0011_0 - 1, c_0011_4 + 6/23*c_0101_0*c_0101_3^4 + 25/23*c_0101_0*c_0101_3^3 - c_0101_0*c_0101_3^2 - 49/23*c_0101_0*c_0101_3 + 21/23*c_0101_0, c_0011_5 - 2/23*c_0101_0*c_0101_3^4 - 16/23*c_0101_0*c_0101_3^3 - c_0101_0*c_0101_3^2 + 47/23*c_0101_0*c_0101_3 + 16/23*c_0101_0, c_0011_6 - 1/23*c_0101_3^4 - 8/23*c_0101_3^3 + 35/23*c_0101_3 - 15/23, c_0101_0^2 - 4/23*c_0101_3^4 - 9/23*c_0101_3^3 + 2/23*c_0101_3 - 14/23, c_0101_1 - 9/23*c_0101_3^4 - 49/23*c_0101_3^3 - c_0101_3^2 + 85/23*c_0101_3 + 3/23, c_0101_3^5 + 5*c_0101_3^4 - c_0101_3^3 - 12*c_0101_3^2 + 5*c_0101_3 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 21570/307*c_0101_0*c_0101_3^6 - 92422/307*c_0101_0*c_0101_3^5 - 55951/307*c_0101_0*c_0101_3^4 - 2343/307*c_0101_0*c_0101_3^3 + 42069/307*c_0101_0*c_0101_3^2 + 21847/307*c_0101_0*c_0101_3 + 7222/307*c_0101_0, c_0011_0 - 1, c_0011_4 + 435/307*c_0101_0*c_0101_3^6 - 331/307*c_0101_0*c_0101_3^5 - 7000/307*c_0101_0*c_0101_3^4 - 5775/307*c_0101_0*c_0101_3^3 - 5817/307*c_0101_0*c_0101_3^2 - 1762/307*c_0101_0*c_0101_3 - 909/307*c_0101_0, c_0011_5 - 70/307*c_0101_0*c_0101_3^6 - 1023/307*c_0101_0*c_0101_3^5 + 5248/307*c_0101_0*c_0101_3^4 + 5005/307*c_0101_0*c_0101_3^3 + 5287/307*c_0101_0*c_0101_3^2 + 2182/307*c_0101_0*c_0101_3 + 972/307*c_0101_0, c_0011_6 + 680/307*c_0101_3^6 - 2123/307*c_0101_3^5 - 4492/307*c_0101_3^4 - 4412/307*c_0101_3^3 - 2371/307*c_0101_3^2 - 1110/307*c_0101_3 - 320/307, c_0101_0^2 + 1590/307*c_0101_3^6 - 5709/307*c_0101_3^5 - 7325/307*c_0101_3^4 - 8691/307*c_0101_3^3 - 4176/307*c_0101_3^2 - 2153/307*c_0101_3 - 369/307, c_0101_1 - 2035/307*c_0101_3^6 + 6771/307*c_0101_3^5 + 11917/307*c_0101_3^4 + 10883/307*c_0101_3^3 + 6845/307*c_0101_3^2 + 2604/307*c_0101_3 + 1066/307, c_0101_3^7 - 18/5*c_0101_3^6 - 22/5*c_0101_3^5 - 6*c_0101_3^4 - 17/5*c_0101_3^3 - 11/5*c_0101_3^2 - 3/5*c_0101_3 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB