Magma V2.19-8 Tue Aug 20 2013 16:19:27 on localhost [Seed = 1983376202] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3541 geometric_solution 6.92263444 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369847647977 0.645108312660 3 2 4 0 0132 3012 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.742733607662 1.013645922806 1 5 0 4 1230 0132 0132 2310 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 -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 0.742733607662 1.013645922806 1 5 6 5 0132 3012 0132 1302 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 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 0.481504121933 0.641776690718 2 6 6 1 3201 2103 0321 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462905572499 0.922557987693 3 2 3 6 1230 0132 2031 2310 0 0 0 0 0 1 -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 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 0.481504121933 0.641776690718 5 4 4 3 3201 2103 0321 0132 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 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 0.684589411430 0.744178729750 ==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' : 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_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_6'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], '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_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 8300072865/39532059968*c_0101_1^8 + 109409338225/79064119936*c_0101_1^7 - 3873797733/19766029984*c_0101_1^6 - 197418303107/79064119936*c_0101_1^5 - 337739004319/39532059968*c_0101_1^4 + 1222302902239/79064119936*c_0101_1^3 + 476303027781/79064119936*c_0101_1^2 - 2265351102465/79064119936*c_0101_1 - 1065258788761/19766029984, c_0011_0 - 1, c_0011_1 - 117488869/4941507496*c_0101_1^8 + 1073943541/9883014992*c_0101_1^7 + 482474311/2470753748*c_0101_1^6 + 484664017/9883014992*c_0101_1^5 - 2089366275/4941507496*c_0101_1^4 + 9151589787/9883014992*c_0101_1^3 + 24669606153/9883014992*c_0101_1^2 + 10567576427/9883014992*c_0101_1 - 1669309209/2470753748, c_0011_2 - 117488869/4941507496*c_0101_1^8 + 1073943541/9883014992*c_0101_1^7 + 482474311/2470753748*c_0101_1^6 + 484664017/9883014992*c_0101_1^5 - 2089366275/4941507496*c_0101_1^4 + 9151589787/9883014992*c_0101_1^3 + 24669606153/9883014992*c_0101_1^2 + 10567576427/9883014992*c_0101_1 - 1669309209/2470753748, c_0011_4 - 1208265/214848152*c_0101_1^8 + 16166457/429696304*c_0101_1^7 - 2165433/107424076*c_0101_1^6 - 4907531/429696304*c_0101_1^5 - 36597063/214848152*c_0101_1^4 + 224634023/429696304*c_0101_1^3 + 137080925/429696304*c_0101_1^2 - 18627657/429696304*c_0101_1 - 80449229/107424076, c_0011_6 + 1558612/617688437*c_0101_1^8 - 12866684/617688437*c_0101_1^7 + 13837449/617688437*c_0101_1^6 + 32050616/617688437*c_0101_1^5 + 83996768/617688437*c_0101_1^4 - 97146846/617688437*c_0101_1^3 + 240074412/617688437*c_0101_1^2 + 161678073/617688437*c_0101_1 + 327671830/617688437, c_0101_0 - 15021275/4941507496*c_0101_1^8 + 8913643/9883014992*c_0101_1^7 + 227501789/2470753748*c_0101_1^6 + 854023679/9883014992*c_0101_1^5 - 772974941/4941507496*c_0101_1^4 - 833103755/9883014992*c_0101_1^3 + 10359030039/9883014992*c_0101_1^2 + 14885918229/9883014992*c_0101_1 - 705250247/2470753748, c_0101_1^9 - 9/2*c_0101_1^8 - 8*c_0101_1^7 - 13/2*c_0101_1^6 + 21*c_0101_1^5 - 71/2*c_0101_1^4 - 193/2*c_0101_1^3 - 147/2*c_0101_1^2 + 36*c_0101_1 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB