On 11/05/15 07:43, Phoenix wrote: > > 1296*x^24 - 20736*x^22 + 129600*x^20 - 393984*x^18 + 584496*x^16 - > 362880*x^14 + 62208*x
For the number of real roots, you can use PARI/GP (but your polynomial needs to be square free) sage: x = polygen(QQ) sage: p = 1296*x^24 - 20736*x^22 + 129600*x^20 - 393984*x^18 + 584496*x^16 - 362880*x^14 + 62208*x sage: for (q,n) in p.squarefree_decomposition(): ....: print q.degree(), n, gp.polsturm(q) 24 1 4 The command `gp.polsturm` returns the number of real roots of a squarefree polynomial. The above code shows that the polynomial was square free. And it has 4 real roots. There is *no* need to compute the roots to determine the number of them which are real!! Vincent -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To post to this group, send email to sage-support@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.
