Magma V2.19-8 Tue Aug 20 2013 16:08:54 on localhost [Seed = 1031578504] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m108 geometric_solution 3.53132833 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 5 1 2 2 2 0132 0132 3201 1302 0 0 0 0 0 -1 0 1 0 0 0 0 -1 0 0 1 0 1 -1 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 0 0 0 0 0 0 0 0.958363448502 0.980171370570 0 2 3 3 0132 1302 2310 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 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 0.059269380578 0.549706700723 0 0 0 1 2310 0132 2031 2031 0 0 0 0 0 1 -1 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 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 0.490014220549 0.521590698391 4 1 1 4 0132 3201 0132 3201 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 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.429172197407 0.532070388958 3 3 4 4 0132 2310 2031 1302 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.673244014984 1.220075479662 ==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_0101_4'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], '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_0101_0']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 88/43*c_0101_4^10 - 68/43*c_0101_4^9 + 762/43*c_0101_4^8 - 990/43*c_0101_4^7 + 124/43*c_0101_4^6 + 669/43*c_0101_4^5 - 211/43*c_0101_4^4 - 394/43*c_0101_4^3 + 114/43*c_0101_4^2 + 212/43*c_0101_4 - 180/43, c_0011_0 - 1, c_0011_3 - 22/43*c_0101_4^10 - 17/43*c_0101_4^9 + 169/43*c_0101_4^8 - 312/43*c_0101_4^7 + 117/43*c_0101_4^6 + 221/43*c_0101_4^5 - 128/43*c_0101_4^4 - 77/43*c_0101_4^3 + 50/43*c_0101_4^2 + 139/43*c_0101_4 - 45/43, c_0101_0 - 81/43*c_0101_4^10 - 174/43*c_0101_4^9 + 503/43*c_0101_4^8 - 148/43*c_0101_4^7 - 396/43*c_0101_4^6 + 198/43*c_0101_4^5 + 334/43*c_0101_4^4 - 4/43*c_0101_4^3 - 199/43*c_0101_4^2 + 72/43*c_0101_4 + 20/43, c_0101_1 + 38/43*c_0101_4^10 + 45/43*c_0101_4^9 - 288/43*c_0101_4^8 + 363/43*c_0101_4^7 - 34/43*c_0101_4^6 - 284/43*c_0101_4^5 + 139/43*c_0101_4^4 + 90/43*c_0101_4^3 - 59/43*c_0101_4^2 - 115/43*c_0101_4 + 66/43, c_0101_4^11 + 2*c_0101_4^10 - 7*c_0101_4^9 + 2*c_0101_4^8 + 8*c_0101_4^7 - 6*c_0101_4^6 - 5*c_0101_4^5 + 3*c_0101_4^4 + 3*c_0101_4^3 - 2*c_0101_4^2 - c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB