Bill Allombert on Fri, 18 Jun 2021 19:41:49 +0200


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Re: parallel bnfinit


On Fri, Jun 18, 2021 at 05:47:29PM +0100, John Cremona wrote:
> On Fri, 18 Jun 2021 at 17:26, Bill Allombert
> <Bill.Allombert@math.u-bordeaux.fr> wrote:
> >
> > On Thu, Jun 17, 2021 at 06:43:20PM +0200, Bill Allombert wrote:
> > > On Fri, Dec 11, 2020 at 09:34:29AM +0100, Bill Allombert wrote:
> > > > Dear PARI developers,
> > > >
> > > > With Loďc Grenié, we have experimented with a parallel version
> > > > of bnfinit (the git branch bill-bnfinit-parallel).
> > > >
> > > > I managed to compute bnfinit(x^97-x-1) in 7h, 16min on 128 cores.
> > > > (518h, 21min of total time).
> > > > The regulator is 2.422012163387226001 e57
> > >
> > > Using the same branch, I managed to compute:
> > >
> > > bnfinit(x^101-x-1) in 23h, 26min
> > > on 128 cores. (1821h, 17min of total time).
> > > The regulator is  6.157929707093319559395563978 e60
> >
> > and today:
> >
> > bnfinit(x^103-x-1) in 22h, 52min
> > on 128 cores. (1701h, 40min .of total time).
> > The regulator is 3.004284509755427003816885205 e62
> >
> > I forget: all the class numbers are 1.
> 
> Is that a new theorem?!

I meant of course for all the examples I mentionned.

Cheers,
Bill.