I believe that the only factorization that Maxima does over quadratic
integers is over Z[sqrt(-1)], the Gaussian integers, using the function
gcfactor. In general (as you probably know), quadratic integers don't have
unique factorizations.
If you're interested in this topic, you might want to look at:
http://www.math.uconn.edu/~kconrad/blurbs/gradnumthy/quadraticgrad.pdf .
It would be great if you could implement the relevant algorithms for
Maxima!
-s
On Fri, Nov 23, 2012 at 3:39 PM, Ren? K?lin <renekaelin at gmx.ch> wrote:
> Hello
>
> Is it possible to factor 1+2*sqrt(2)+2? I'd like to get (1+sqrt(2))^2.
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