Bill Allombert on Tue, 15 Sep 2015 16:01:28 +0200


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PARI package GALPOL 3.0 released


Dear PARI users,

Igor Schein and me have just released GALPOL v3.0, a database of polynomials
defining Galois extensions of the rationals representing all abstract groups of
order up to 129, for all possible signatures, (7087 polynomials) see
<http://pari.math.u-bordeaux.fr/galpol/>.

For reference galpol 2.0 included 2429 polynomials for all groups of order up
to 127.

This database is available as a PARI package "galpol" from
<http://pari.math.u-bordeaux.fr/download.html>

Once installed, it can be accessed under GP using galoisgetpol.

? P=galoisgetpol(8,3,1);
? G=galoisinit(P[1],P[2]);
? galoisidentify(G)
%6 = [8,3]
? polsturm(P[1])
%7 = 8

Note that some polynomials are different between galpol v2.0 and galpol v3.0.

Cheers,
Bill