Magma V2.19-8 Tue Aug 20 2013 16:08:58 on localhost [Seed = 3086362892] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m225 geometric_solution 4.13025661 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 5 1 2 1 3 0132 0132 1230 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 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 0.806938016463 0.812868627799 0 3 2 0 0132 2031 3120 3012 0 0 0 0 0 0 0 0 1 0 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 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 0.384910946365 0.619609666172 2 0 1 2 3012 0132 3120 1230 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.384910946365 0.619609666172 1 4 0 4 1302 0132 0132 2310 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 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 0.748805865218 0.730523917466 3 3 4 4 3201 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.430398135116 0.226133928821 ==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_0110_4'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), '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_4' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_4'])})} 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_3, c_0101_2, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 16605/9721*c_0110_4^10 - 70616/9721*c_0110_4^9 - 71303/9721*c_0110_4^8 + 152140/9721*c_0110_4^7 + 315388/9721*c_0110_4^6 - 82440/9721*c_0110_4^5 - 399892/9721*c_0110_4^4 - 151885/9721*c_0110_4^3 + 67819/9721*c_0110_4^2 - 25643/9721*c_0110_4 - 46777/9721, c_0011_0 - 1, c_0011_3 + 476/9721*c_0110_4^10 + 1409/9721*c_0110_4^9 - 1283/9721*c_0110_4^8 - 9232/9721*c_0110_4^7 - 5190/9721*c_0110_4^6 + 17195/9721*c_0110_4^5 + 13236/9721*c_0110_4^4 - 6494/9721*c_0110_4^3 - 3780/9721*c_0110_4^2 - 11224/9721*c_0110_4 - 3973/9721, c_0101_2 - 5862/9721*c_0110_4^10 - 21559/9721*c_0110_4^9 - 11443/9721*c_0110_4^8 + 65415/9721*c_0110_4^7 + 76659/9721*c_0110_4^6 - 88694/9721*c_0110_4^5 - 110722/9721*c_0110_4^4 + 28592/9721*c_0110_4^3 + 37402/9721*c_0110_4^2 - 25725/9721*c_0110_4 - 7560/9721, c_0101_4 + 1003/9721*c_0110_4^10 - 850/9721*c_0110_4^9 - 13466/9721*c_0110_4^8 - 15287/9721*c_0110_4^7 + 39752/9721*c_0110_4^6 + 60882/9721*c_0110_4^5 - 63765/9721*c_0110_4^4 - 68538/9721*c_0110_4^3 + 30919/9721*c_0110_4^2 + 22177/9721*c_0110_4 - 12885/9721, c_0110_4^11 + 4*c_0110_4^10 + 3*c_0110_4^9 - 11*c_0110_4^8 - 17*c_0110_4^7 + 12*c_0110_4^6 + 25*c_0110_4^5 - 9*c_0110_4^3 + 3*c_0110_4^2 + 3*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB