On Sep 28, 2:15 pm, kcrisman <kcris...@gmail.com> wrote: > On Sep 27, 11:51 pm, Aidan <aidan....@gmail.com> wrote: > > > > > Hi, > > > This may be a repeat question, but is there a function to simplify > > complex expressions in sage? For example, the input > > > M = matrix([[e^(2*pi*I*i*j/3) for i in [0..2]] for j in [0..2]]); > > M.eigenvalues() > > > outputs > > > [-1/2*(-10/9*I*sqrt(3) + 2*I)^(1/3)*(I*sqrt(3) + 1) + 1/3*(I*sqrt(3) - > > 1)/(-10/9*I*sqrt(3) + 2*I)^(1/3) + 1/3*I*sqrt(3), > > -1/2*(-10/9*I*sqrt(3) + 2*I)^(1/3)*(-I*sqrt(3) + 1) + 1/3*(-I*sqrt(3) > > - 1)/(-10/9*I*sqrt(3) + 2*I)^(1/3) + 1/3*I*sqrt(3), (-10/9*I*sqrt(3) + > > 2*I)^(1/3) + 2/3/(-10/9*I*sqrt(3) + 2*I)^(1/3) + 1/3*I*sqrt(3)] > > > What I'd really like is an output like > > > [sqrt(3), I*sqrt(3), -sqrt(3)] > > > Neither "simplify" nor "simplify_full" seemed to help. Thanks in > > advance, > > Currently the various variants on 'simplify', 'expand', and 'factor' > are probably your best bet. Then again, it is probably undecidable > how to "simplify" a given expression :) > > - kcrisman
But wolfram alpha does it well here: sage: M.charpoly() x^3 - I*sqrt(3)*x^2 - 3*x + 3*I*sqrt(3) http://www.wolframalpha.com/input/?i=x^3+-+I*sqrt%283%29*x^2+-+3*x+%2B+3*I*sqrt%283%29 Yann -- To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
