Magma V2.19-8 Tue Aug 20 2013 16:14:10 on localhost [Seed = 1377029748] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s126 geometric_solution 4.12499513 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.309248679961 0.373346429294 0 2 2 0 0132 0132 3201 3201 0 0 0 0 0 -1 0 1 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 -1 0 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 -0.446908222820 0.760164574104 1 1 3 4 2310 0132 0132 0132 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 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 -0.187246954776 0.516902388159 4 5 4 2 1230 0132 2031 0132 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 0 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 0.822386535189 0.869358702260 5 3 2 3 2310 3012 0132 1302 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.822386535189 0.869358702260 5 3 4 5 3012 0132 3201 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 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 1.425749498918 0.607049907837 ==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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_3'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], '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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0101_1'], '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_3, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 995376/120689*c_0101_5^10 - 8930077/120689*c_0101_5^9 + 8533104/120689*c_0101_5^8 + 9723121/120689*c_0101_5^7 - 22882203/120689*c_0101_5^6 + 18115212/120689*c_0101_5^5 + 1612809/120689*c_0101_5^4 - 4552341/120689*c_0101_5^3 + 1532971/120689*c_0101_5^2 - 4390247/120689*c_0101_5 - 831735/120689, c_0011_0 - 1, c_0011_3 + 4481/120689*c_0101_5^10 - 44047/120689*c_0101_5^9 + 112078/120689*c_0101_5^8 - 302564/120689*c_0101_5^7 - 111162/120689*c_0101_5^6 + 601030/120689*c_0101_5^5 - 546931/120689*c_0101_5^4 + 115417/120689*c_0101_5^3 + 262562/120689*c_0101_5^2 + 16730/120689*c_0101_5 + 113568/120689, c_0101_0 - 21448/120689*c_0101_5^10 + 185699/120689*c_0101_5^9 - 106218/120689*c_0101_5^8 - 409967/120689*c_0101_5^7 + 492100/120689*c_0101_5^6 - 191250/120689*c_0101_5^5 - 457769/120689*c_0101_5^4 + 431068/120689*c_0101_5^3 - 30022/120689*c_0101_5^2 + 128496/120689*c_0101_5 + 136216/120689, c_0101_1 - 58341/120689*c_0101_5^10 + 505038/120689*c_0101_5^9 - 322406/120689*c_0101_5^8 - 838109/120689*c_0101_5^7 + 1219297/120689*c_0101_5^6 - 411856/120689*c_0101_5^5 - 683891/120689*c_0101_5^4 + 287959/120689*c_0101_5^3 + 122700/120689*c_0101_5^2 + 147265/120689*c_0101_5 + 129100/120689, c_0101_3 + 9267/120689*c_0101_5^10 - 80184/120689*c_0101_5^9 + 65982/120689*c_0101_5^8 + 10905/120689*c_0101_5^7 - 165196/120689*c_0101_5^6 + 210716/120689*c_0101_5^5 - 163126/120689*c_0101_5^4 + 127266/120689*c_0101_5^3 + 204145/120689*c_0101_5^2 - 30715/120689*c_0101_5 - 10552/120689, c_0101_5^11 - 9*c_0101_5^10 + 9*c_0101_5^9 + 8*c_0101_5^8 - 22*c_0101_5^7 + 21*c_0101_5^6 - 3*c_0101_5^5 - 2*c_0101_5^4 + 3*c_0101_5^3 - 6*c_0101_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB