Magma V2.19-8 Tue Aug 20 2013 16:08:55 on localhost [Seed = 2244221745] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m144 geometric_solution 3.72029856 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 0 1 2 0 3012 0132 0132 1230 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 -1 1 -1 0 0 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 0.520724241448 0.363285239446 2 0 2 3 2031 0132 2103 0132 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 1 -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 0.727686701892 0.455121844759 1 3 1 0 2103 2310 1302 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 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727686701892 0.455121844759 4 4 1 2 0132 2310 0132 3201 0 0 0 0 0 0 0 0 1 0 0 -1 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 1 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.926637427718 0.891407962063 3 4 4 3 0132 3201 2310 3201 0 0 0 0 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 0 0 0 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 0 0 0 -0.817991182832 0.329575863625 ==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_3']), 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0011_2'], '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' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : negation(d['c_0101_4']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0011_2'], 'c_0110_4' : d['c_0101_3'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : d['c_0011_2']})} 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_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 1558/67*c_0101_4^6 - 5607/67*c_0101_4^5 + 9029/67*c_0101_4^4 - 8878/67*c_0101_4^3 - 7930/67*c_0101_4^2 + 8740/67*c_0101_4 + 1778/67, c_0011_0 - 1, c_0011_2 - 30/67*c_0101_4^6 - 93/67*c_0101_4^5 + 224/67*c_0101_4^4 - 261/67*c_0101_4^3 + 1/67*c_0101_4^2 + 183/67*c_0101_4 - 35/67, c_0011_3 + 51/67*c_0101_4^6 + 205/67*c_0101_4^5 - 220/67*c_0101_4^4 + 169/67*c_0101_4^3 + 407/67*c_0101_4^2 - 224/67*c_0101_4 - 108/67, c_0101_3 - 19/67*c_0101_4^6 - 79/67*c_0101_4^5 + 57/67*c_0101_4^4 - 105/67*c_0101_4^3 - 82/67*c_0101_4^2 + 2/67*c_0101_4 + 56/67, c_0101_4^7 + 3*c_0101_4^6 - 8*c_0101_4^5 + 9*c_0101_4^4 + 2*c_0101_4^3 - 9*c_0101_4^2 + 2*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB