Wow, that's quite disturbing.  Did you make a trac ticket for this?

-Marshall Hampton

On Sep 30, 7:32 pm, AndyNovo <a...@novocin.com> wrote:
> Hi all,
>
> Found this simple bug in a simple Z[x] factoring example.
>
> R.<x>=PolynomialRing(ZZ)
> f = 12*x^10 + x^9 + 432*x^3 + 9011
> g = 13*x^11 + 89*x^3 + 1
> F = f^2 * g^3
> G = F.factor()
> should_be_zero = F - G.prod()
> should_be_zero == 0
>
> The problem was that F.factor returns
>
> 2028 * (12*x^10 + x^9 + 432*x^3 + 9011)^2 * (13*x^11 + 89*x^3 + 1)^3
>
> Not 1 * (12*x^10 + x^9 + 432*x^3 + 9011)^2 * (13*x^11 + 89*x^3 + 1)^3
>
> This is in the pari degree range.  Anyway thought I would post it.
>
> We'll have a very fast polynomial factoring algorithm in FLINT before
> too much longer, promise.
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