Jeroen Demeyer on Tue, 11 Feb 2014 14:53:00 +0100

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Re: Component [5] of prime ideal structure

On 2014-02-11 14:07, Bill Allombert wrote:
On Tue, Feb 11, 2014 at 11:33:48AM +0100, Jeroen Demeyer wrote:

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

[1  2]

What is the meaning of this? The documentation ??idealprimedec says
that it is supposed to be an algebraic integer, but I don't

Try idealprimedec(nfinit(x^2+1), 5)[1][5][,1]

This doesn't work for

gp> idealprimedec(nfinit(x^2+1), 3)[1][5]
%1 = 1

One could of course easily wrap this in a (member) function.

The libPARI documentation clearly explains that the result is a zk_scalar_or_multable, but this is not in the users manual ??idealprimedec.