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hermann on Tue, 27 May 2025 00:01:48 +0200
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How to determine Mod(a,b) with t_COMPLEX b?
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- To: pari-users@pari.math.u-bordeaux.fr
- Subject: How to determine Mod(a,b) with t_COMPLEX b?
- From: hermann@stamm-wilbrandt.de
- Date: Tue, 27 May 2025 00:01:44 +0200
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$ gp -q
? a=1+4*I;b=3+2*I;
? a/b
11/13 + 10/13*I
? Mod(a,b)
*** at top-level: Mod(a,b)
*** ^--------
*** Mod: forbidden division t_COMPLEX % t_COMPLEX.
*** Break loop: type 'break' to go back to GP prompt
break>
The minimal residue of 1+4*I modulo 3+2*I is the yellow point -I in the
example:
https://en.wikipedia.org/wiki/Gaussian_integer#Describing_residue_classes
How can minimal residue of an input gaussian integer modulo a gaussian
integer be computed in PARI/GP?
Regards,
Hermann.