Magma V2.19-8 Tue Aug 20 2013 16:14:18 on localhost [Seed = 1899031893] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s286 geometric_solution 4.45417699 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 1 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 1.538399916977 0.465313697453 0 1 1 0 0132 3201 2310 1023 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 1.316471710695 0.110310831163 3 0 0 4 0132 0132 1023 0132 0 0 0 0 0 1 0 -1 1 0 -1 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 1 0 0 -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 0.066240838881 0.535064104714 2 4 4 5 0132 2310 1302 0132 0 0 0 0 0 0 0 0 -1 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 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 0.219620869953 0.845480225167 3 5 2 3 2031 2310 0132 3201 0 0 0 0 0 0 1 -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 -1 0 1 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.219620869953 0.845480225167 5 5 3 4 1302 2031 0132 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 0.589486621806 0.638663006925 ==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' : negation(d['1']), 's_3_5' : 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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : 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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0110_4'], 'c_0110_4' : d['c_0110_4'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 21*c_0110_4^9 + 70*c_0110_4^8 - 17*c_0110_4^7 - 115*c_0110_4^6 + 200*c_0110_4^5 - 2*c_0110_4^4 - 121*c_0110_4^3 + 97*c_0110_4^2 + 8*c_0110_4 - 29, c_0011_0 - 1, c_0011_4 - 5*c_0101_1*c_0110_4^9 + 17*c_0101_1*c_0110_4^8 - 5*c_0101_1*c_0110_4^7 - 27*c_0101_1*c_0110_4^6 + 47*c_0101_1*c_0110_4^5 - c_0101_1*c_0110_4^4 - 27*c_0101_1*c_0110_4^3 + 19*c_0101_1*c_0110_4^2 + 3*c_0101_1*c_0110_4 - 6*c_0101_1, c_0011_5 + c_0101_1*c_0110_4^9 - 2*c_0101_1*c_0110_4^8 - 4*c_0101_1*c_0110_4^7 + 8*c_0101_1*c_0110_4^6 - 4*c_0101_1*c_0110_4^5 - 12*c_0101_1*c_0110_4^4 + 10*c_0101_1*c_0110_4^3 - 2*c_0101_1*c_0110_4^2 - 4*c_0101_1*c_0110_4 + 3*c_0101_1, c_0101_0 + 6*c_0101_1*c_0110_4^9 - 21*c_0101_1*c_0110_4^8 + 8*c_0101_1*c_0110_4^7 + 32*c_0101_1*c_0110_4^6 - 60*c_0101_1*c_0110_4^5 + 7*c_0101_1*c_0110_4^4 + 33*c_0101_1*c_0110_4^3 - 26*c_0101_1*c_0110_4^2 - 2*c_0101_1*c_0110_4 + 7*c_0101_1, c_0101_1^2 - 8*c_0110_4^9 + 27*c_0110_4^8 - 7*c_0110_4^7 - 45*c_0110_4^6 + 77*c_0110_4^5 - c_0110_4^4 - 48*c_0110_4^3 + 34*c_0110_4^2 + 5*c_0110_4 - 13, c_0110_4^10 - 4*c_0110_4^9 + 3*c_0110_4^8 + 5*c_0110_4^7 - 13*c_0110_4^6 + 6*c_0110_4^5 + 6*c_0110_4^4 - 8*c_0110_4^3 + 2*c_0110_4^2 + 2*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB