Magma V2.19-8 Tue Aug 20 2013 16:14:41 on localhost [Seed = 1360055630] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s669 geometric_solution 5.16168586 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 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 0.257854187253 0.219836499337 2 0 3 0 0132 2310 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496359187350 1.694834250220 1 3 4 5 0132 3201 0132 0132 0 0 0 0 0 -1 0 1 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 -1 0 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 0.066184121411 0.970498326572 5 4 2 1 3201 0132 2310 0132 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.066184121411 0.970498326572 4 3 4 2 2031 0132 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 -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 0.477676137934 0.549740924487 5 5 2 3 1230 3012 0132 2310 0 0 0 0 0 0 -1 1 -1 0 0 1 -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 -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 1.099386264697 1.036485158317 ==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_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' : 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' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0101_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_3, c_0011_5, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 274484283/181486585*c_0101_1^10 - 192020289/181486585*c_0101_1^9 + 448841391/181486585*c_0101_1^8 - 1757413033/181486585*c_0101_1^7 - 3878855046/181486585*c_0101_1^6 - 5830592217/181486585*c_0101_1^5 - 7438529389/181486585*c_0101_1^4 - 25575097/181486585*c_0101_1^3 + 5611457849/181486585*c_0101_1^2 + 3096585747/181486585*c_0101_1 - 927051124/181486585, c_0011_0 - 1, c_0011_1 - 5935/77393*c_0101_1^10 + 8824/77393*c_0101_1^9 - 15096/77393*c_0101_1^8 + 47485/77393*c_0101_1^7 + 52474/77393*c_0101_1^6 + 64035/77393*c_0101_1^5 + 96728/77393*c_0101_1^4 - 95420/77393*c_0101_1^3 - 69378/77393*c_0101_1^2 + 69176/77393*c_0101_1 + 12921/77393, c_0011_3 + 1369352/25926655*c_0011_5*c_0101_1^10 - 286990/5185331*c_0011_5*c_0101_1^9 + 3119999/25926655*c_0011_5*c_0101_1^8 - 2345354/5185331*c_0011_5*c_0101_1^7 - 11891164/25926655*c_0011_5*c_0101_1^6 - 6841717/5185331*c_0011_5*c_0101_1^5 - 13719276/25926655*c_0011_5*c_0101_1^4 + 4933559/25926655*c_0011_5*c_0101_1^3 + 44959748/25926655*c_0011_5*c_0101_1^2 + 29474402/25926655*c_0011_5*c_0101_1 - 285118/5185331*c_0011_5, c_0011_5^2 - 836264/25926655*c_0101_1^10 + 94593/5185331*c_0101_1^9 - 487643/25926655*c_0101_1^8 + 556005/5185331*c_0101_1^7 + 17086923/25926655*c_0101_1^6 + 1802977/5185331*c_0101_1^5 + 27206317/25926655*c_0101_1^4 - 5480798/25926655*c_0101_1^3 - 37345996/25926655*c_0101_1^2 + 8130801/25926655*c_0101_1 - 2127013/5185331, c_0101_0 - 1624926/25926655*c_0101_1^10 + 354231/5185331*c_0101_1^9 - 1983337/25926655*c_0101_1^8 + 1771144/5185331*c_0101_1^7 + 23616657/25926655*c_0101_1^6 + 2695896/5185331*c_0101_1^5 + 33703358/25926655*c_0101_1^4 - 34762847/25926655*c_0101_1^3 - 37226279/25926655*c_0101_1^2 + 8718634/25926655*c_0101_1 + 29443/5185331, c_0101_1^11 - c_0101_1^10 + 2*c_0101_1^9 - 7*c_0101_1^8 - 12*c_0101_1^7 - 18*c_0101_1^6 - 23*c_0101_1^5 + 5*c_0101_1^4 + 17*c_0101_1^3 + 7*c_0101_1^2 - c_0101_1 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB