Karim Belabas on Thu, 14 Nov 2013 17:53:41 +0100 |
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Re: factorpadic() for non-squarefree polynomials |
* Karim Belabas [2013-11-14 17:35]: > * Bill Allombert [2013-11-14 14:33]: > [...] > > I do not know why it returns + O(3^0). > > Because we define "reduction to precision p^r" in a silly way here > (absolute instead of relative). The function quickly determines that the > input is irreducible over Qp then insists on coercing the output to > t_PADICs with absolute accuracy 3^5, thereby losing information. Sorry, I misread what you wrote: with my explanation (which corresponds to comments in the code, and I wrote both code and comments here), it should return O(3^5), certainly not O(3^0) => there is a bug in Z_to_Zp(). Cheers, K.B. -- Karim Belabas, IMB (UMR 5251) Tel: (+33) (0)5 40 00 26 17 Universite Bordeaux 1 Fax: (+33) (0)5 40 00 69 50 351, cours de la Liberation http://www.math.u-bordeaux1.fr/~kbelabas/ F-33405 Talence (France) http://pari.math.u-bordeaux1.fr/ [PARI/GP] `