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Bill Allombert on Sat, 15 Apr 2023 23:29:51 +0200
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Re: How to compute modulo a complex ?
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- To: pari-users@pari.math.u-bordeaux.fr
- Subject: Re: How to compute modulo a complex ?
- From: Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>
- Date: Sat, 15 Apr 2023 23:28:12 +0200
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On Sat, Apr 15, 2023 at 10:50:40PM +0200, tony.reix@laposte.net wrote:
> Hi,I want to do:s=5s=Mod( (s^2-1)/(2*I*s) , 4 I )s=.... the same...Where I is
> the imaginary number.When trying, I get a forbiden division between polmod
> and complex.
You need to explain how you define it.
If you really want to work in the Z-module Z[i] / (4*i*Z), you can
define
mod4(z)=real(z)+I*(imag(z)%4)
If you want compute in the quotient ring Z[i]/(4*i*Z[i])
(but then I is invertible so mod 4 and mod 4*I are the same) see nfeltmod.
Cheers,
Bill