On Sun, Jan 27, 2013 at 2:16 AM, Aaron Meurer <[email protected]> wrote: > Sorry for not replying sooner. Some notes: > > For irreducibility, you don't need to worry about that. We already > have full irreducibility algorithms implemented in the polys, so you > can just use Poly(whatever).is_irreducible (you should be using > entirely the polys, by the way). Feel free to implement further > algorithms if you want (I don't know if we use that prime number one). > I do know that we use a combination of rational root, Eisenstein, and > as a final option, it passes the polynomial to the factorization > algorithm, which is complete, so that if it returns the original > polynomial as the complete factorization, we know that it must be > irreducible. > > What book specifically do you need? I have a copy of Dummit and Foote > if that's the one you need.
OK, Dummit and Foote's appendices are just about Zorn's lemma and category theory. In fact, the only mention of quintics in the book (according to the index) is the proof that the general quintic is unsolvable. I did find http://www.emba.uvm.edu/~ddummit/quintics/quintics.html, which is Dummit's page on quintics. The Mathematica notebook should be useful (I think there are free programs you can use to view it). And by the way, just limiting yourself to x**5 + a*x + b for now is OK (unless this is already implemented in SymPy). Something is better than nothing, and we can always improve upon work. Aaron Meurer > > Aaron Meurer > > On Sat, Jan 26, 2013 at 9:18 PM, prasoon2211 <[email protected]> wrote: >> Since I have not got any responses, I'll be trying to implement the special >> case of solvable quintics: x^5 + ax +b =0 >> If anyone has a problem/suggestion, now is the time to come forward. >> Thanks >> >> -- >> You received this message because you are subscribed to the Google Groups >> "sympy" group. >> To post to this group, send email to [email protected]. >> To unsubscribe from this group, send email to >> [email protected]. >> Visit this group at http://groups.google.com/group/sympy?hl=en. >> For more options, visit https://groups.google.com/groups/opt_out. >> >> -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/sympy?hl=en. For more options, visit https://groups.google.com/groups/opt_out.
