Magma V2.19-8 Tue Aug 20 2013 16:08:59 on localhost [Seed = 2816882970] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m253 geometric_solution 4.23464781 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 -1 0 1 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 -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 0.304868036384 1.660094152065 0 2 2 3 0132 3201 0213 0132 0 0 0 0 0 -1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.313543106782 0.730367942688 3 1 1 0 3201 0213 2310 0132 0 0 0 0 0 -1 1 0 -1 0 0 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 0 1 -1 -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 0.313543106782 0.730367942688 4 4 1 2 0132 2310 0132 2310 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 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554062291432 1.284264038943 3 4 4 3 0132 3201 2310 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 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 -0.706460929670 0.464618472647 ==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' : negation(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' : negation(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_3']), 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : negation(d['c_0011_3']), '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_4' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_2'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_4' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0011_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_2, c_0011_3, c_0101_0, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 455/58*c_0101_2^9 - 1563/58*c_0101_2^8 - 1145/58*c_0101_2^7 + 475/58*c_0101_2^6 + 2919/29*c_0101_2^5 + 4897/58*c_0101_2^4 + 306/29*c_0101_2^3 - 3505/58*c_0101_2^2 - 3253/58*c_0101_2 - 656/29, c_0011_0 - 1, c_0011_2 + 99/58*c_0101_2^9 - 176/29*c_0101_2^8 - 97/29*c_0101_2^7 + 41/29*c_0101_2^6 + 1235/58*c_0101_2^5 + 943/58*c_0101_2^4 + 83/58*c_0101_2^3 - 653/58*c_0101_2^2 - 277/29*c_0101_2 - 155/58, c_0011_3 + 27/58*c_0101_2^9 - 48/29*c_0101_2^8 - 37/29*c_0101_2^7 + 56/29*c_0101_2^6 + 321/58*c_0101_2^5 + 215/58*c_0101_2^4 - 183/58*c_0101_2^3 - 157/58*c_0101_2^2 - 36/29*c_0101_2 + 21/58, c_0101_0 + 28/29*c_0101_2^9 - 106/29*c_0101_2^8 - 37/29*c_0101_2^7 + 56/29*c_0101_2^6 + 349/29*c_0101_2^5 + 151/29*c_0101_2^4 - 48/29*c_0101_2^3 - 180/29*c_0101_2^2 - 94/29*c_0101_2 - 33/29, c_0101_2^10 - 3*c_0101_2^9 - 4*c_0101_2^8 + 13*c_0101_2^6 + 16*c_0101_2^5 + 6*c_0101_2^4 - 6*c_0101_2^3 - 9*c_0101_2^2 - 5*c_0101_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB