Magma V2.19-8 Tue Aug 20 2013 16:14:33 on localhost [Seed = 3836049641] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s535 geometric_solution 4.94866707 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 1302 1023 2031 0 0 0 0 0 -1 -1 2 0 0 -1 1 1 -2 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453048986889 0.387754245415 0 2 0 3 0132 0132 1023 0132 0 0 0 0 0 0 1 -1 0 0 1 -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 0 1 -1 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 2.113890940106 0.597577013745 4 1 5 3 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 1 -1 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 -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 0.209558422498 0.704357704253 2 5 1 4 3201 0132 0132 3201 0 0 0 0 0 -1 1 0 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 -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 0.209558422498 0.704357704253 2 3 4 4 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.304449576332 0.656297137716 5 3 5 2 2031 0132 1302 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 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 0.672161797773 1.608981364275 ==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_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_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_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_2'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_0']), '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_3']), 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_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' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_1001_2'], '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_3, c_0101_0, c_0101_1, c_0101_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + c_1001_2^2 + 4*c_1001_2 + 4, c_0011_0 - 1, c_0011_3 + 1, c_0101_0 + c_1001_2, c_0101_1 + c_1001_2^2 + c_1001_2 - 1, c_0101_2 - c_1001_2^2 - c_1001_2 + 1, c_1001_2^3 + 2*c_1001_2^2 - c_1001_2 - 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 304025/103106*c_1001_2^8 - 5138471/206212*c_1001_2^7 + 4829989/103106*c_1001_2^6 + 16574059/206212*c_1001_2^5 - 48999549/206212*c_1001_2^4 - 5168488/51553*c_1001_2^3 + 40555393/103106*c_1001_2^2 - 730023/51553*c_1001_2 - 35426833/206212, c_0011_0 - 1, c_0011_3 + 883/13304*c_1001_2^8 - 1353/13304*c_1001_2^7 - 21757/13304*c_1001_2^6 + 3700/1663*c_1001_2^5 + 101853/13304*c_1001_2^4 - 35063/6652*c_1001_2^3 - 20071/1663*c_1001_2^2 + 78423/13304*c_1001_2 + 67117/13304, c_0101_0 + 391/1663*c_1001_2^8 - 9363/6652*c_1001_2^7 + 696/1663*c_1001_2^6 + 43541/6652*c_1001_2^5 - 18177/6652*c_1001_2^4 - 16447/1663*c_1001_2^3 + 17595/3326*c_1001_2^2 + 12035/3326*c_1001_2 - 6621/6652, c_0101_1 - 367/6652*c_1001_2^8 + 255/1663*c_1001_2^7 + 6037/6652*c_1001_2^6 - 10165/6652*c_1001_2^5 - 7334/1663*c_1001_2^4 + 9571/3326*c_1001_2^3 + 22895/3326*c_1001_2^2 - 12281/6652*c_1001_2 - 5544/1663, c_0101_2 + 867/3326*c_1001_2^8 - 10923/6652*c_1001_2^7 + 1567/1663*c_1001_2^6 + 47153/6652*c_1001_2^5 - 31613/6652*c_1001_2^4 - 35891/3326*c_1001_2^3 + 12664/1663*c_1001_2^2 + 13307/3326*c_1001_2 - 6943/6652, c_1001_2^9 - 8*c_1001_2^8 + 12*c_1001_2^7 + 35*c_1001_2^6 - 69*c_1001_2^5 - 73*c_1001_2^4 + 122*c_1001_2^3 + 61*c_1001_2^2 - 66*c_1001_2 - 31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB