Magma V2.19-8 Tue Aug 20 2013 16:08:58 on localhost [Seed = 4300476] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m241 geometric_solution 4.19075306 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 5 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.281492246316 0.409298805829 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.577770312385 1.249370228925 1 4 3 3 0132 0132 2310 1230 0 0 0 0 0 0 -1 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 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 0.368047915773 0.988500758292 2 2 4 1 3012 3201 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 1 0 -1 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 0.368047915773 0.988500758292 4 2 4 3 2031 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 1 -1 -1 1 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 -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 0.448289055347 0.271536202213 ==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_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_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_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : negation(d['c_0011_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_0011_3'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_1'], '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_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_4' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_3, c_0101_0, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 45/13*c_0101_3^9 + 28/13*c_0101_3^8 - 239/13*c_0101_3^7 + 89/13*c_0101_3^6 - 108/13*c_0101_3^5 + 105/13*c_0101_3^4 + 241/13*c_0101_3^3 - 51/13*c_0101_3^2 + 112/13*c_0101_3 + 8/13, c_0011_0 - 1, c_0011_1 - 9/13*c_0101_3^9 - 3/13*c_0101_3^8 + 53/13*c_0101_3^7 - 23/13*c_0101_3^6 + 19/13*c_0101_3^5 - 47/13*c_0101_3^4 - 69/13*c_0101_3^3 + 31/13*c_0101_3^2 - 12/13*c_0101_3 + 27/13, c_0011_3 + 33/13*c_0101_3^9 + 24/13*c_0101_3^8 - 177/13*c_0101_3^7 + 41/13*c_0101_3^6 - 48/13*c_0101_3^5 + 103/13*c_0101_3^4 + 188/13*c_0101_3^3 - 79/13*c_0101_3^2 + 31/13*c_0101_3 - 47/13, c_0101_0 + 25/13*c_0101_3^9 + 17/13*c_0101_3^8 - 140/13*c_0101_3^7 + 22/13*c_0101_3^6 - 34/13*c_0101_3^5 + 106/13*c_0101_3^4 + 170/13*c_0101_3^3 - 37/13*c_0101_3^2 + 16/13*c_0101_3 - 49/13, c_0101_3^10 - 6*c_0101_3^8 + 5*c_0101_3^7 - 2*c_0101_3^6 + 4*c_0101_3^5 + 4*c_0101_3^4 - 6*c_0101_3^3 + 2*c_0101_3^2 - 2*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB