Magma V2.19-8 Tue Aug 20 2013 23:26:23 on localhost [Seed = 1798113906] Type ? for help. Type -D to quit. Loading file "K11a247__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11a247 geometric_solution 3.55381992 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 1 0132 0132 1302 2031 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 -1 1 1 1 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.003195152668 0.528363414137 0 0 2 3 0132 1302 0132 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 1 -1 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.988555146000 1.892567511656 0 0 3 1 2031 0132 3201 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 1 0 -1 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.988555146000 1.892567511656 2 4 1 4 2310 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.235634226466 0.827223759209 5 3 5 3 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566439471142 0.079894482401 4 5 4 5 0132 1302 1023 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.601172511794 0.021863202399 ==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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(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_0011_3'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], '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_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0011_5' : 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_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0011_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_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 736455149/185875263*c_0101_5^8 - 4776237079/185875263*c_0101_5^7 - 17767220063/185875263*c_0101_5^6 - 3110348953/26553609*c_0101_5^5 - 1785498595/20652807*c_0101_5^4 - 1582859212/26553609*c_0101_5^3 - 2965475591/20652807*c_0101_5^2 - 2902824689/185875263*c_0101_5 - 10151090095/185875263, c_0011_0 - 1, c_0011_3 - 2811/57851*c_0101_5^8 - 16131/57851*c_0101_5^7 - 52714/57851*c_0101_5^6 - 23417/57851*c_0101_5^5 + 27656/57851*c_0101_5^4 + 11498/57851*c_0101_5^3 - 118668/57851*c_0101_5^2 + 76680/57851*c_0101_5 - 18960/57851, c_0101_1 - 122861/8851203*c_0101_5^8 - 1086475/8851203*c_0101_5^7 - 4338008/8851203*c_0101_5^6 - 7442257/8851203*c_0101_5^5 + 55707/983467*c_0101_5^4 + 5674211/8851203*c_0101_5^3 + 228605/983467*c_0101_5^2 - 5749289/8851203*c_0101_5 + 6608159/8851203, c_0101_2 - 488447/8851203*c_0101_5^8 - 2741164/8851203*c_0101_5^7 - 8955284/8851203*c_0101_5^6 - 4124527/8851203*c_0101_5^5 + 165220/983467*c_0101_5^4 - 2416513/8851203*c_0101_5^3 - 1145638/983467*c_0101_5^2 + 12994924/8851203*c_0101_5 + 2937623/8851203, c_0101_4 - 513637/8851203*c_0101_5^8 - 2900597/8851203*c_0101_5^7 - 9426781/8851203*c_0101_5^6 - 4017416/8851203*c_0101_5^5 + 430543/983467*c_0101_5^4 - 325160/8851203*c_0101_5^3 - 1821553/983467*c_0101_5^2 + 6139214/8851203*c_0101_5 - 1677239/8851203, c_0101_5^9 + 6*c_0101_5^8 + 21*c_0101_5^7 + 18*c_0101_5^6 + 8*c_0101_5^5 + 5*c_0101_5^4 + 29*c_0101_5^3 - 14*c_0101_5^2 + 12*c_0101_5 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB