Magma V2.19-8 Tue Aug 20 2013 16:14:15 on localhost [Seed = 155751718] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s229 geometric_solution 4.38559495 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 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 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 1.521845116975 0.207981292116 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 0 -1 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 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 1.201846997571 0.338398115647 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 -1 0 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 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.655561649555 0.543611317761 2 5 4 4 0132 0132 1302 2031 0 0 0 0 0 0 0 0 1 0 -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 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442895887288 0.411678698183 3 3 2 5 2031 1302 0132 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442895887288 0.411678698183 5 3 4 5 3012 0132 0132 1230 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.788697653013 1.125924596786 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_2'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 22466423/749416*c_0101_5^15 - 266853091/749416*c_0101_5^13 + 893863309/374708*c_0101_5^11 - 3488508205/374708*c_0101_5^9 + 757770643/93677*c_0101_5^7 - 354389207/374708*c_0101_5^5 - 131075301/749416*c_0101_5^3 - 227861601/749416*c_0101_5, c_0011_0 - 1, c_0011_1 - 300299/749416*c_0101_5^14 + 3441629/749416*c_0101_5^12 - 11249133/374708*c_0101_5^10 + 42149693/374708*c_0101_5^8 - 12149979/187354*c_0101_5^6 - 426421/374708*c_0101_5^4 - 2064727/749416*c_0101_5^2 + 967475/749416, c_0011_4 + 24421/187354*c_0101_5^14 - 528067/374708*c_0101_5^12 + 1653385/187354*c_0101_5^10 - 5729473/187354*c_0101_5^8 - 99871/187354*c_0101_5^6 + 1184471/187354*c_0101_5^4 + 436254/93677*c_0101_5^2 + 149961/374708, c_0101_0 + 80729/374708*c_0101_5^15 - 229748/93677*c_0101_5^13 + 2991971/187354*c_0101_5^11 - 11140801/187354*c_0101_5^9 + 2974242/93677*c_0101_5^7 - 529409/187354*c_0101_5^5 + 2795677/374708*c_0101_5^3 - 107465/93677*c_0101_5, c_0101_2 - 43349/749416*c_0101_5^15 + 432795/749416*c_0101_5^13 - 1259571/374708*c_0101_5^11 + 3711507/374708*c_0101_5^9 + 1333036/93677*c_0101_5^7 - 4809815/374708*c_0101_5^5 + 792663/749416*c_0101_5^3 - 676471/749416*c_0101_5, c_0101_5^16 - 12*c_0101_5^14 + 81*c_0101_5^12 - 320*c_0101_5^10 + 306*c_0101_5^8 - 58*c_0101_5^6 - 5*c_0101_5^4 - 10*c_0101_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB