Magma V2.19-8 Tue Aug 20 2013 16:14:04 on localhost [Seed = 728413975] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s007 geometric_solution 3.47128788 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2.643584943743 0.229530274766 0 2 2 0 3201 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.501509826949 0.229510878794 1 1 3 4 2310 0132 0132 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 1 0 0 0 -1 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.887888594585 0.864011716413 5 4 5 2 0132 3012 2310 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 -1 1 1 -2 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.181766738152 0.435243402216 3 5 2 5 1230 3201 0132 1023 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 2 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 1.181766738152 0.435243402216 3 3 4 4 0132 3201 2310 1023 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 0 1 0 0 0 0 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.952605408866 0.506720074161 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), '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' : 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' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_3'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_2']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 1/8064*c_0101_3^8 - 7913/8064*c_0101_3^7 + 1697/288*c_0101_3^6 + 19037/4032*c_0101_3^5 + 106649/2688*c_0101_3^4 + 401815/8064*c_0101_3^3 + 42031/576*c_0101_3^2 + 14893/336*c_0101_3 + 20809/1008, c_0011_0 - 1, c_0011_1 - 5/16*c_0101_3^8 + 11/8*c_0101_3^7 + 35/8*c_0101_3^6 + 63/4*c_0101_3^5 + 591/16*c_0101_3^4 + 423/8*c_0101_3^3 + 58*c_0101_3^2 + 35*c_0101_3 + 14, c_0011_3 - 5/16*c_0101_3^8 + 15/8*c_0101_3^7 + 3/2*c_0101_3^6 + 101/8*c_0101_3^5 + 253/16*c_0101_3^4 + 47/2*c_0101_3^3 + 14*c_0101_3^2 + 7*c_0101_3, c_0101_0 + 1/16*c_0101_3^8 - 1/4*c_0101_3^7 - c_0101_3^6 - 27/8*c_0101_3^5 - 141/16*c_0101_3^4 - 103/8*c_0101_3^3 - 67/4*c_0101_3^2 - 11*c_0101_3 - 6, c_0101_2 + 9/16*c_0101_3^8 - 11/4*c_0101_3^7 - 51/8*c_0101_3^6 - 105/4*c_0101_3^5 - 859/16*c_0101_3^4 - 76*c_0101_3^3 - 147/2*c_0101_3^2 - 42*c_0101_3 - 14, c_0101_3^9 - 5*c_0101_3^8 - 10*c_0101_3^7 - 50*c_0101_3^6 - 95*c_0101_3^5 - 157*c_0101_3^4 - 160*c_0101_3^3 - 124*c_0101_3^2 - 56*c_0101_3 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB