Magma V2.19-8 Tue Aug 20 2013 16:08:55 on localhost [Seed = 1747580639] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m157 geometric_solution 3.80190876 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 5 1 1 2 3 0132 2310 0132 0132 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 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 0 0 0 0 0 -0.158249777423 1.845474243985 0 1 1 0 0132 3201 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.496869651640 0.541299740793 3 3 4 0 1302 2031 0132 0132 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 -1 0 0 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 0.355495000296 0.340877065997 2 2 0 4 1302 2031 0132 2310 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 1 1 -2 0 0 -1 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 0.355495000296 0.340877065997 3 4 4 2 3201 1230 3012 0132 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 0 0 0 2 -1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534487654270 1.405250560990 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_4' : 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' : d['c_0011_4'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_2']), 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0011_2']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0011_2']), '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_2, c_0011_4, c_0101_0, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 2*c_0101_4^5 + 25/2*c_0101_4^4 + 26*c_0101_4^3 + 33/2*c_0101_4^2 + 9/2*c_0101_4 + 6, c_0011_0 - 1, c_0011_2 + 1/2*c_0101_4^5 + 3*c_0101_4^4 + 6*c_0101_4^3 + 7/2*c_0101_4^2 + 3/2*c_0101_4 + 3/2, c_0011_4 - c_0101_4^5 - 11/2*c_0101_4^4 - 19/2*c_0101_4^3 - 9/2*c_0101_4^2 - 4*c_0101_4 - 5/2, c_0101_0 + 1/2*c_0101_4^5 + 5/2*c_0101_4^4 + 7/2*c_0101_4^3 + 3/2*c_0101_4 + 1, c_0101_4^6 + 6*c_0101_4^5 + 12*c_0101_4^4 + 8*c_0101_4^3 + 5*c_0101_4^2 + 4*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB