Magma V2.19-8 Tue Aug 20 2013 16:08:56 on localhost [Seed = 3120047873] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m190 geometric_solution 4.00485558 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 0 0 1 1 1230 3012 0132 2310 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 -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 2.397719464901 0.671620479655 0 2 3 0 3201 0132 0132 0132 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 -1 0 1 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 -0.133037945787 0.497020115256 3 1 3 4 2310 0132 2103 0132 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 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 0.477478127571 1.135369188221 2 4 2 1 2103 2310 3201 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 0.477478127571 1.135369188221 4 4 2 3 1230 3012 0132 3201 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 1 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 0.685258506906 0.748406624051 ==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' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : 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_4' : d['c_0011_0'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_2']), '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' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0011_4'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), '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 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 633/464*c_0101_2^9 - 555/232*c_0101_2^8 - 49/116*c_0101_2^7 - 1201/464*c_0101_2^6 + 677/464*c_0101_2^5 - 223/464*c_0101_2^4 - 3695/464*c_0101_2^3 + 1867/464*c_0101_2^2 - 1019/116*c_0101_2 + 5219/464, c_0011_0 - 1, c_0011_1 - 2/29*c_0101_2^9 + 9/29*c_0101_2^8 + 3/29*c_0101_2^7 - 1/29*c_0101_2^6 + 25/29*c_0101_2^5 - 21/29*c_0101_2^4 + 28/29*c_0101_2^3 - 16/29*c_0101_2^2 + 18/29*c_0101_2 + 12/29, c_0011_4 - 6/29*c_0101_2^9 - 2/29*c_0101_2^8 + 9/29*c_0101_2^7 - 3/29*c_0101_2^6 + 17/29*c_0101_2^5 - 5/29*c_0101_2^4 - 3/29*c_0101_2^3 + 10/29*c_0101_2^2 - 4/29*c_0101_2 + 7/29, c_0101_0 - 28/29*c_0101_2^9 - 19/29*c_0101_2^8 - 16/29*c_0101_2^7 - 43/29*c_0101_2^6 + 60/29*c_0101_2^5 - 91/29*c_0101_2^4 + 15/29*c_0101_2^3 - 79/29*c_0101_2^2 - 9/29*c_0101_2 + 81/29, c_0101_2^10 + c_0101_2^7 - 3*c_0101_2^6 + 5*c_0101_2^5 - 3*c_0101_2^4 + 3*c_0101_2^3 - 2*c_0101_2^2 - 3*c_0101_2 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB