Magma V2.19-8 Tue Aug 20 2013 16:18:10 on localhost [Seed = 526287396] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2392 geometric_solution 5.75859002 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 2310 0132 0 0 0 0 0 -1 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 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 0.296504009204 0.954506585448 0 0 4 2 0132 3201 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500356528592 0.678886031848 5 0 1 5 0132 0132 1230 1023 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 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 1.317229118372 0.746043149303 4 4 0 6 0321 1230 0132 0132 0 0 0 0 0 0 0 0 -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 1 -1 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 0.323673488107 0.334950503719 3 6 3 1 0321 3120 3012 0132 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.491882874025 1.543861139406 2 6 6 2 0132 2310 3201 1023 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 1.520245983907 0.546243942277 5 4 3 5 2310 3120 0132 3201 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 -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 0.429914657462 0.949217359831 ==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' : negation(d['1']), 's_3_0' : negation(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_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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_1001_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0011_6'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_1001_2']})} 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_3, c_0011_4, c_0011_6, c_0101_2, c_0101_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 86021/16625*c_1001_2^9 - 743949/33250*c_1001_2^8 - 122191/16625*c_1001_2^7 + 3334189/33250*c_1001_2^6 + 515996/3325*c_1001_2^5 + 548111/33250*c_1001_2^4 - 885263/33250*c_1001_2^3 + 480483/4750*c_1001_2^2 + 1749851/33250*c_1001_2 - 1167319/33250, c_0011_0 - 1, c_0011_3 + 809/875*c_1001_2^9 + 2223/875*c_1001_2^8 - 2511/875*c_1001_2^7 - 12203/875*c_1001_2^6 - 984/175*c_1001_2^5 + 7228/875*c_1001_2^4 - 4824/875*c_1001_2^3 - 991/125*c_1001_2^2 + 4373/875*c_1001_2 + 463/875, c_0011_4 + 44/175*c_1001_2^9 + 93/175*c_1001_2^8 - 251/175*c_1001_2^7 - 673/175*c_1001_2^6 + 61/35*c_1001_2^5 + 1073/175*c_1001_2^4 - 459/175*c_1001_2^3 - 56/25*c_1001_2^2 + 818/175*c_1001_2 - 192/175, c_0011_6 + 1, c_0101_2 + 943/875*c_1001_2^9 + 2721/875*c_1001_2^8 - 2822/875*c_1001_2^7 - 15056/875*c_1001_2^6 - 1293/175*c_1001_2^5 + 10106/875*c_1001_2^4 - 4973/875*c_1001_2^3 - 1407/125*c_1001_2^2 + 5146/875*c_1001_2 + 451/875, c_0101_5 - 293/875*c_1001_2^9 - 671/875*c_1001_2^8 + 1222/875*c_1001_2^7 + 3881/875*c_1001_2^6 - 57/175*c_1001_2^5 - 2806/875*c_1001_2^4 + 4198/875*c_1001_2^3 + 307/125*c_1001_2^2 - 3721/875*c_1001_2 + 849/875, c_1001_2^10 + 4*c_1001_2^9 - 20*c_1001_2^7 - 24*c_1001_2^6 + 7*c_1001_2^5 + 8*c_1001_2^4 - 20*c_1001_2^3 - 4*c_1001_2^2 + 11*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB