Magma V2.19-8 Tue Aug 20 2013 16:14:11 on localhost [Seed = 1031577883] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s144 geometric_solution 4.20556691 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 0132 0132 1023 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 -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 0.946607323327 0.918988044286 0 3 4 4 0132 2310 2310 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 1 0 -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 -0.296663644457 0.442738321622 2 0 0 2 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.391031558268 0.296269326487 5 5 0 1 0132 2310 0132 3201 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 -1 1 -1 0 1 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 -0.296663644457 0.442738321622 5 1 1 5 1230 3201 0132 3012 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 -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 -0.191047529017 1.127847231883 3 4 4 3 0132 3012 1230 3201 0 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 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 -0.191047529017 1.127847231883 ==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' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_0'], '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_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 1108/5*c_0101_2^10 - 210*c_0101_2^9 - 6427/5*c_0101_2^8 + 5044/5*c_0101_2^7 + 14016/5*c_0101_2^6 - 7501/5*c_0101_2^5 - 12417/5*c_0101_2^4 + 3049/5*c_0101_2^3 + 4249/5*c_0101_2^2 - 364/5*c_0101_2 - 478/5, c_0011_0 - 1, c_0011_3 - 88*c_0101_2^10 + 72*c_0101_2^9 + 532*c_0101_2^8 - 353*c_0101_2^7 - 1220*c_0101_2^6 + 541*c_0101_2^5 + 1166*c_0101_2^4 - 252*c_0101_2^3 - 442*c_0101_2^2 + 36*c_0101_2 + 57, c_0011_4 + 88*c_0101_2^10 - 72*c_0101_2^9 - 532*c_0101_2^8 + 353*c_0101_2^7 + 1220*c_0101_2^6 - 541*c_0101_2^5 - 1166*c_0101_2^4 + 252*c_0101_2^3 + 442*c_0101_2^2 - 36*c_0101_2 - 57, c_0101_0 - 4*c_0101_2^10 + 6*c_0101_2^9 + 21*c_0101_2^8 - 31*c_0101_2^7 - 40*c_0101_2^6 + 55*c_0101_2^5 + 29*c_0101_2^4 - 36*c_0101_2^3 - 9*c_0101_2^2 + 9*c_0101_2 + 1, c_0101_1 + 32*c_0101_2^10 - 44*c_0101_2^9 - 170*c_0101_2^8 + 221*c_0101_2^7 + 330*c_0101_2^6 - 369*c_0101_2^5 - 247*c_0101_2^4 + 204*c_0101_2^3 + 79*c_0101_2^2 - 36*c_0101_2 - 9, c_0101_2^11 - 3/2*c_0101_2^10 - 21/4*c_0101_2^9 + 31/4*c_0101_2^8 + 10*c_0101_2^7 - 55/4*c_0101_2^6 - 29/4*c_0101_2^5 + 9*c_0101_2^4 + 9/4*c_0101_2^3 - 5/2*c_0101_2^2 - 1/4*c_0101_2 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB