Bill Allombert on Mon, 06 Aug 2012 22:53:14 +0200


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Re: How to factor integer over Z[i]?


On Mon, Aug 06, 2012 at 05:40:18PM +0300, Andrew Lelechenko wrote:
> I can factor an integer over the ring of integers and I can factor a
> Gaussian integer over the ring of Gaussian integers:
> 
> ? factor(25)
> %5 =
> [5 2]
> ? factor(5+I)
> time = 0 ms.
> %2 =
> [     -I 1]
> [  1 + I 1]
> [2 + 3*I 1]
> 
> But how should I ask PARI/GP to factor an integer over Gaussian
> integers? I tried for example factor(5+0*I), but it doesn't work well.

factor(5+0*I) worked in PARI 2.3.

Cheers,
Bill.