Magma V2.19-8 Tue Aug 20 2013 16:09:05 on localhost [Seed = 1275974342] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m393 geometric_solution 4.85732240 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 5 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 -1 0 1 0 0 -1 1 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 1 1 -2 0 0 1 -1 -1 2 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.022429257183 1.189136142464 0 2 4 3 0132 3201 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.457207313601 0.948482601432 3 4 1 0 1023 0132 2310 0132 0 0 0 0 0 0 0 0 -1 0 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 1 -1 1 0 0 -1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.457207313601 0.948482601432 3 2 1 3 3201 1023 0132 2310 0 0 0 0 0 1 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 0 0 0 0 -1 0 1 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 0.676562361634 0.654243274945 4 2 4 1 2031 0132 1302 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 0.611512814111 0.581651265229 ==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_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_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_0011_2'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0011_2'], '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_4' : negation(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_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0101_0'], 'c_0110_4' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0011_0']})} 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_2, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 6199/157*c_0101_2^11 - 11666/157*c_0101_2^10 - 24975/157*c_0101_2^9 - 56608/157*c_0101_2^8 - 90/157*c_0101_2^7 - 23049/157*c_0101_2^6 - 75875/157*c_0101_2^5 + 64533/157*c_0101_2^4 - 5578/157*c_0101_2^3 - 86820/157*c_0101_2^2 + 9398/157*c_0101_2 + 16817/157, c_0011_0 - 1, c_0011_2 - 702/157*c_0101_2^11 - 1468/157*c_0101_2^10 - 2879/157*c_0101_2^9 - 6878/157*c_0101_2^8 - 633/157*c_0101_2^7 - 1516/157*c_0101_2^6 - 10661/157*c_0101_2^5 + 8269/157*c_0101_2^4 + 196/157*c_0101_2^3 - 11679/157*c_0101_2^2 + 1499/157*c_0101_2 + 2199/157, c_0101_0 + 1065/157*c_0101_2^11 + 1532/157*c_0101_2^10 + 3994/157*c_0101_2^9 + 8199/157*c_0101_2^8 - 2387/157*c_0101_2^7 + 6971/157*c_0101_2^6 + 7475/157*c_0101_2^5 - 10004/157*c_0101_2^4 + 4520/157*c_0101_2^3 + 9846/157*c_0101_2^2 - 1679/157*c_0101_2 - 2066/157, c_0101_1 + 1134/157*c_0101_2^11 + 1369/157*c_0101_2^10 + 4071/157*c_0101_2^9 + 7874/157*c_0101_2^8 - 3929/157*c_0101_2^7 + 9055/157*c_0101_2^6 + 5036/157*c_0101_2^5 - 10121/157*c_0101_2^4 + 7002/157*c_0101_2^3 + 7550/157*c_0101_2^2 - 2035/157*c_0101_2 - 1632/157, c_0101_2^12 + c_0101_2^11 + 3*c_0101_2^10 + 6*c_0101_2^9 - 6*c_0101_2^8 + 7*c_0101_2^7 + 5*c_0101_2^6 - 14*c_0101_2^5 + 9*c_0101_2^4 + 8*c_0101_2^3 - 7*c_0101_2^2 - c_0101_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB