Magma V2.19-8 Tue Aug 20 2013 16:14:54 on localhost [Seed = 2682127348] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s873 geometric_solution 5.56077572 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 0132 0132 3201 0132 0 0 0 0 0 -1 1 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 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 -0.002986534941 1.006103156304 0 3 2 4 0132 2310 2031 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.200809124967 0.597088288844 0 0 4 1 2310 0132 2031 1302 0 0 0 0 0 1 -1 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 -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 1.002950385401 0.993925108280 5 4 0 1 0132 3012 0132 3201 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 1 -1 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 0.495427293210 0.993991153815 3 5 1 2 1230 0132 0132 1302 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 -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 0.495427293210 0.993991153815 3 4 5 5 0132 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 1 0 -1 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 1.314064990563 0.954564677767 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0101_2'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], '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' : 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_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 2043/593*c_0101_5^10 - 5779/593*c_0101_5^9 + 2377/593*c_0101_5^8 + 29117/593*c_0101_5^7 + 42422/593*c_0101_5^6 + 26923/593*c_0101_5^5 - 2309/593*c_0101_5^4 - 11171/593*c_0101_5^3 - 4210/593*c_0101_5^2 + 4203/593*c_0101_5 + 2720/593, c_0011_0 - 1, c_0011_3 + 268/593*c_0101_5^10 + 269/593*c_0101_5^9 - 1236/593*c_0101_5^8 - 2379/593*c_0101_5^7 - 225/593*c_0101_5^6 + 1178/593*c_0101_5^5 + 3521/593*c_0101_5^4 + 819/593*c_0101_5^3 - 596/593*c_0101_5^2 - 1113/593*c_0101_5 - 515/593, c_0101_0 - 450/593*c_0101_5^10 - 403/593*c_0101_5^9 + 2394/593*c_0101_5^8 + 3822/593*c_0101_5^7 - 1680/593*c_0101_5^6 - 3341/593*c_0101_5^5 - 2925/593*c_0101_5^4 + 541/593*c_0101_5^3 + 1638/593*c_0101_5^2 + 466/593*c_0101_5 + 108/593, c_0101_1 + 217/593*c_0101_5^10 + 251/593*c_0101_5^9 - 1107/593*c_0101_5^8 - 2017/593*c_0101_5^7 + 652/593*c_0101_5^6 + 1507/593*c_0101_5^5 - 72/593*c_0101_5^4 - 1804/593*c_0101_5^3 - 695/593*c_0101_5^2 + 1296/593*c_0101_5 + 873/593, c_0101_2 + 1, c_0101_5^11 + 2*c_0101_5^10 - 4*c_0101_5^9 - 14*c_0101_5^8 - 7*c_0101_5^7 + 9*c_0101_5^6 + 14*c_0101_5^5 + 4*c_0101_5^4 - 5*c_0101_5^3 - 3*c_0101_5^2 + c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB