Magma V2.19-8 Tue Aug 20 2013 16:19:26 on localhost [Seed = 2614757031] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3538 geometric_solution 6.90972555 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329306379871 0.600671248164 0 4 0 2 0132 0132 2310 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298226245826 1.280070301142 4 3 1 0 0213 3012 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.770208343242 1.079808946186 2 5 0 6 1230 0132 0132 0132 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580755652961 0.986525183747 2 1 6 5 0213 0132 1230 1230 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 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 0.364878297750 0.858596263194 4 3 5 5 3012 0132 2031 1302 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 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 0.415748578148 0.790136864985 6 6 3 4 1302 2031 0132 3012 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 -1 0 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538702120821 1.101331178789 ==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_2_6' : 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' : 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_6' : negation(d['c_1001_4']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0110_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_1001_4']), 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_2']), '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_2'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0110_5'], 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0101_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_1, c_0101_5, c_0110_5, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 5218/1183*c_0110_5*c_1001_4^8 + 1483/91*c_0110_5*c_1001_4^7 - 9180/1183*c_0110_5*c_1001_4^6 - 52209/1183*c_0110_5*c_1001_4^5 + 49417/1183*c_0110_5*c_1001_4^4 + 37801/1183*c_0110_5*c_1001_4^3 - 27308/1183*c_0110_5*c_1001_4^2 - 20816/1183*c_0110_5*c_1001_4 + 2013/1183*c_0110_5, c_0011_0 - 1, c_0011_2 - 8/169*c_1001_4^8 - 1/13*c_1001_4^7 + 93/169*c_1001_4^6 - 77/169*c_1001_4^5 - 147/169*c_1001_4^4 + 29/169*c_1001_4^3 - 83/169*c_1001_4^2 + 172/169*c_1001_4 + 54/169, c_0011_3 + 67/169*c_0110_5*c_1001_4^8 - 16/13*c_0110_5*c_1001_4^7 + 45/169*c_0110_5*c_1001_4^6 + 497/169*c_0110_5*c_1001_4^5 - 142/169*c_0110_5*c_1001_4^4 - 264/169*c_0110_5*c_1001_4^3 - 340/169*c_0110_5*c_1001_4^2 + 165/169*c_0110_5*c_1001_4 + 266/169*c_0110_5, c_0101_1 - 1, c_0101_5 + 43/169*c_0110_5*c_1001_4^8 - 6/13*c_0110_5*c_1001_4^7 - 183/169*c_0110_5*c_1001_4^6 + 435/169*c_0110_5*c_1001_4^5 + 431/169*c_0110_5*c_1001_4^4 - 684/169*c_0110_5*c_1001_4^3 - 589/169*c_0110_5*c_1001_4^2 + 343/169*c_0110_5*c_1001_4 + 259/169*c_0110_5, c_0110_5^2 - 105/169*c_1001_4^8 + 21/13*c_1001_4^7 + 101/169*c_1001_4^6 - 905/169*c_1001_4^5 - 7/169*c_1001_4^4 + 782/169*c_1001_4^3 + 157/169*c_1001_4^2 - 193/169*c_1001_4 + 75/169, c_1001_4^9 - 4*c_1001_4^8 + 3*c_1001_4^7 + 9*c_1001_4^6 - 12*c_1001_4^5 - 4*c_1001_4^4 + 7*c_1001_4^3 + 2*c_1001_4^2 - 2*c_1001_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB