Component [5] of prime ideal structure

Jeroen Demeyer on Tue, 11 Feb 2014 11:34:00 +0100

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Component [5] of prime ideal structure

To: pari-users <pari-users@pari.math.u-bordeaux1.fr>
Subject: Component [5] of prime ideal structure
From: Jeroen Demeyer <jdemeyer@cage.ugent.be>
Date: Tue, 11 Feb 2014 11:33:48 +0100
Delivery-date: Tue, 11 Feb 2014 11:34:00 +0100
User-agent: Mozilla/5.0 (X11; Linux x86_64; rv:24.0) Gecko/20100101 Thunderbird/24.2.0

Consider

gp> idealprimedec(nfinit(x^2+1), 5)[1][5]
%4 =
[2 -1]

[1  2]

What is the meaning of this? The documentation ??idealprimedec says thatit is supposed to be an algebraic integer, but I don't understandit. This changed from PARI-2.5 to PARI-2.6 and it breaks Denis Simon'sGP scripts.


Jeroen.

Follow-Ups:
- Re: Component [5] of prime ideal structure
  - From: Bill Allombert <allomber@math.u-bordeaux.fr>
- Re: Component [5] of prime ideal structure
  - From: Karim Belabas <Karim.Belabas@math.u-bordeaux.fr>

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