John Cremona on Fri, 18 Jun 2021 18:48:03 +0200


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Re: parallel bnfinit


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?!

>
> Cheers,
> Bill.
>