Magma V2.19-8 Tue Aug 20 2013 17:55:06 on localhost [Seed = 964202117] Type ? for help. Type -D to quit. Loading file "9_44__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 9_44 geometric_solution 7.40676757 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 8 1 2 3 4 0132 0132 0132 0132 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 0 1 -1 -1 0 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 0.624013410452 1.000665095097 0 5 6 4 0132 0132 0132 3201 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 -1 0 1 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 -0.264245695835 1.508952068474 6 0 5 4 1230 0132 3120 0213 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 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 0.121725655788 0.443295516024 6 7 7 0 0132 0132 0321 0132 0 0 0 0 0 0 0 0 1 0 -1 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 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 0.450846533754 0.978110220578 7 1 0 2 0321 2310 0132 0213 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 -1 1 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 0.677178666879 0.623249726400 6 1 2 7 2103 0132 3120 0213 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 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 0.369480944950 0.507551923700 3 2 5 1 0132 3012 2103 0132 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 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 0.126322454269 0.512872118147 4 3 3 5 0321 0132 0321 0213 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 -1 0 1 -1 0 1 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 0.450846533754 0.978110220578 ==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_7' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_1_7' : d['1'], 's_1_6' : 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_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : negation(d['c_0101_2']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], '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' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : 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_5' : negation(d['c_1001_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_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' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : negation(d['c_0011_4']), 'c_0110_6' : d['c_0101_1'], 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 9303/374*c_1001_2^9 - 210/11*c_1001_2^8 + 36515/374*c_1001_2^7 + 38633/374*c_1001_2^6 - 52431/374*c_1001_2^5 - 69181/374*c_1001_2^4 + 16540/187*c_1001_2^3 + 59095/374*c_1001_2^2 - 7741/374*c_1001_2 - 17023/374, c_0011_0 - 1, c_0011_3 - 147/34*c_1001_2^9 - 14*c_1001_2^8 - 245/34*c_1001_2^7 + 811/34*c_1001_2^6 + 508/17*c_1001_2^5 - 277/34*c_1001_2^4 - 500/17*c_1001_2^3 - 319/34*c_1001_2^2 + 281/34*c_1001_2 + 98/17, c_0011_4 - 49/34*c_1001_2^9 - 14*c_1001_2^8 - 378/17*c_1001_2^7 + 531/34*c_1001_2^6 + 974/17*c_1001_2^5 + 463/34*c_1001_2^4 - 858/17*c_1001_2^3 - 498/17*c_1001_2^2 + 547/34*c_1001_2 + 180/17, c_0101_0 - 91/17*c_1001_2^9 - 14*c_1001_2^8 - 71/34*c_1001_2^7 + 911/34*c_1001_2^6 + 773/34*c_1001_2^5 - 517/34*c_1001_2^4 - 907/34*c_1001_2^3 - 55/17*c_1001_2^2 + 161/17*c_1001_2 + 59/17, c_0101_1 - 189/17*c_1001_2^9 - 49/2*c_1001_2^8 + 237/34*c_1001_2^7 + 1913/34*c_1001_2^6 + 813/34*c_1001_2^5 - 1555/34*c_1001_2^4 - 596/17*c_1001_2^3 + 197/17*c_1001_2^2 + 201/17*c_1001_2 + 31/17, c_0101_2 + 203/17*c_1001_2^9 + 21*c_1001_2^8 - 319/17*c_1001_2^7 - 1925/34*c_1001_2^6 - 5/17*c_1001_2^5 + 984/17*c_1001_2^4 + 297/17*c_1001_2^3 - 454/17*c_1001_2^2 - 241/34*c_1001_2 + 58/17, c_1001_0 + 112/17*c_1001_2^9 + 14*c_1001_2^8 - 233/34*c_1001_2^7 - 575/17*c_1001_2^6 - 189/34*c_1001_2^5 + 1145/34*c_1001_2^4 + 435/34*c_1001_2^3 - 271/17*c_1001_2^2 - 157/34*c_1001_2 + 49/17, c_1001_2^10 + 2*c_1001_2^9 - 11/7*c_1001_2^8 - 6*c_1001_2^7 - 5/7*c_1001_2^6 + 50/7*c_1001_2^5 + 23/7*c_1001_2^4 - 4*c_1001_2^3 - 17/7*c_1001_2^2 + 6/7*c_1001_2 + 4/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB