Magma V2.19-8 Tue Aug 20 2013 16:14:46 on localhost [Seed = 3187417560] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s751 geometric_solution 5.28474971 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 0132 0132 3120 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 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 0.299545143885 0.474356732856 0 3 5 4 0132 0321 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.073461307776 1.073509172525 4 0 0 3 0132 0132 3120 3201 0 0 0 0 0 1 -1 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 -1 1 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.457769974002 0.786791578927 4 2 0 1 1230 2310 0132 0321 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 -1 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 0.539240844812 0.533846220963 2 3 1 5 0132 3012 0132 3201 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 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 -0.073461307776 1.073509172525 5 4 5 1 2031 2310 1302 0132 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 0.468707717185 0.764423929335 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : 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' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_0']), 'c_1001_2' : negation(d['c_1001_0']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_1001_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_3, c_0011_5, c_0101_1, c_0101_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 37122/11*c_1001_0^9 - 63700/11*c_1001_0^8 + 26371/11*c_1001_0^7 + 94769/22*c_1001_0^6 - 106731/22*c_1001_0^5 - 8725/11*c_1001_0^4 + 262387/88*c_1001_0^3 - 4097/88*c_1001_0^2 - 23401/22*c_1001_0 - 24865/88, c_0011_0 - 1, c_0011_3 + 48*c_1001_0^9 - 64*c_1001_0^8 - 8*c_1001_0^7 + 100*c_1001_0^6 - 68*c_1001_0^5 - 40*c_1001_0^4 + 57*c_1001_0^3 + 7*c_1001_0^2 - 21*c_1001_0 - 6, c_0011_5 - 128*c_1001_0^9 + 192*c_1001_0^8 - 32*c_1001_0^7 - 208*c_1001_0^6 + 168*c_1001_0^5 + 76*c_1001_0^4 - 126*c_1001_0^3 - 18*c_1001_0^2 + 49*c_1001_0 + 16, c_0101_1 - 32*c_1001_0^8 + 64*c_1001_0^7 - 40*c_1001_0^6 - 32*c_1001_0^5 + 60*c_1001_0^4 - 12*c_1001_0^3 - 26*c_1001_0^2 + 10*c_1001_0 + 7, c_0101_2 + 48*c_1001_0^9 - 80*c_1001_0^8 + 24*c_1001_0^7 + 76*c_1001_0^6 - 80*c_1001_0^5 - 12*c_1001_0^4 + 49*c_1001_0^3 - 4*c_1001_0^2 - 16*c_1001_0 - 3, c_1001_0^10 - c_1001_0^9 - 1/2*c_1001_0^8 + 7/4*c_1001_0^7 - 1/2*c_1001_0^6 - 5/4*c_1001_0^5 + 11/16*c_1001_0^4 + 5/8*c_1001_0^3 - 5/16*c_1001_0^2 - 5/16*c_1001_0 - 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB