Magma V2.19-8 Tue Aug 20 2013 16:18:17 on localhost [Seed = 2530675618] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2502 geometric_solution 5.82289280 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 1 0 -1 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508388784456 0.134122053390 2 0 3 0 0132 2310 0132 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 0 0 0 0 0 1 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.652607125717 0.351040114347 1 4 3 5 0132 0132 3012 0132 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 0 1 -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 0.313037082822 1.112941738012 5 2 6 1 1023 1230 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 0 0 0 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 0.313037082822 1.112941738012 5 2 6 6 3012 0132 2103 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760763290908 0.977605860904 6 3 2 4 2103 1023 0132 1230 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 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 -0.330536823232 0.887584495658 4 4 5 3 2103 2310 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760763290908 0.977605860904 ==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_0011_1']), 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0110_4'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0110_4']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 4935045/16744*c_0110_4^8 + 1536517/2392*c_0110_4^7 - 1695917/4186*c_0110_4^6 + 35634943/16744*c_0110_4^5 - 17828173/2392*c_0110_4^4 + 189615633/16744*c_0110_4^3 - 101401523/16744*c_0110_4^2 - 4774934/2093*c_0110_4 + 31992305/16744, c_0011_0 - 1, c_0011_1 + 179/2093*c_0110_4^8 + 14/299*c_0110_4^7 - 612/2093*c_0110_4^6 - 1140/2093*c_0110_4^5 + 122/299*c_0110_4^4 + 4064/2093*c_0110_4^3 - 9708/2093*c_0110_4^2 + 4295/2093*c_0110_4 + 1920/2093, c_0011_3 - c_0110_4, c_0011_6 - 445/2093*c_0110_4^8 + 27/299*c_0110_4^7 - 326/2093*c_0110_4^6 + 2799/2093*c_0110_4^5 - 918/299*c_0110_4^4 + 6898/2093*c_0110_4^3 + 328/2093*c_0110_4^2 - 879/2093*c_0110_4 + 243/2093, c_0101_0 + 411/2093*c_0110_4^8 - 33/299*c_0110_4^7 + 33/2093*c_0110_4^6 - 2524/2093*c_0110_4^5 + 823/299*c_0110_4^4 - 5308/2093*c_0110_4^3 - 4155/2093*c_0110_4^2 + 5360/2093*c_0110_4 - 596/2093, c_0101_1 - 566/2093*c_0110_4^8 + 76/299*c_0110_4^7 - 76/2093*c_0110_4^6 + 3593/2093*c_0110_4^5 - 1388/299*c_0110_4^4 + 8863/2093*c_0110_4^3 + 2529/2093*c_0110_4^2 - 5431/2093*c_0110_4 - 213/2093, c_0110_4^9 - 2*c_0110_4^8 + c_0110_4^7 - 7*c_0110_4^6 + 24*c_0110_4^5 - 34*c_0110_4^4 + 14*c_0110_4^3 + 11*c_0110_4^2 - 5*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB