Re: bnfinit new record: degree 105

[William Stein <wstein@gmail.com>]

On Wed, Mar 25, 2015 at 5:05 AM, Bill Allombert
<Bill.Allombert@math.u-bordeaux.fr> wrote:
> Dear PARI developers,
>
> I managed to compute the bnfinit of a degree-105 polynomial, namely
> polsubcyclo(211,105) which define the field  Q(zeta_211)^+
>
> which is named cm/211 in my collezione.
>
> The discriminant of the number field is
> 5.3134347406063639084710374286346095014E241
>
> This is both the highest degree and largest discriminant bnfinit succeeded on.
>
> The class number is 1 and the regulator is 3.706163881210687671991647261 e88
>
> The successful run took 1 hours and 14 minutes.
>
> I did not need to tweak bnfinit. It seems bnfinit is well-suited to the
> fields Q(zeta_p)^+.

May I ask:

 (1) exactly what input did you give pari (and with what version)?

 (2) what's the next similar challenge?

William

>
> Cheers,
> Bill.
>



-- 
William (http://wstein.org)