> There is a patch at http://trac.sagemath.org/sage_trac/ticket/7545
> which adds support for Gaussian integers.

 ... and which could be easily adapted to work with Eisenstein
integers, I believe.

 Note also that pari has Gaussian Integers and I am sure their
implementation is better than mine, but none for Eisenstein integers,
I fear.

? factor(2341234+12341234*I)
%1 =
[-I 1]

[1 + I 3]

[3670617 + 2500000*I 1]

Aside :I hope to improve the above patch (in the not-so-near-future)
and to propose to change I to be a Gaussian Integer.

Chris.

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