|Bill Allombert on Mon, 25 Jun 2018 18:11:31 +0200|
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|PARI package GALPOL 4.0 released|
Dear PARI lovers, Igor Schein and myself have just released GALPOL v4.0, a database of polynomials defining Galois extensions of the rationals representing all abstract groups of order up to 143, for all possible signatures, (3657 groups, 7194 polynomials) see <http://pari.math.u-bordeaux.fr/galpol/>. This release also includes the data needed for PARI 2.10.1 functions galoisgetgroup (return the underlying group) and galoisgetname (return the group name). 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. ? galoisgetname(8,3) %1 = "D8" ? galoisgetgroup(8,3) %2 = [[Vecsmall([6,1,5,2,7,4,8,3]),Vecsmall([3,5,1,7,2,8,4,6])],Vecsmall([4,2])] ? P=galoisgetpol(8,3,1); ? G=galoisinit(P,P); ? galoisidentify(G) %6 = [8,3] ? polsturm(P) %7 = 8 Note that some polynomials are different between galpol v3.0 and galpol v4.0. Cheers, Bill and Igor.