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Loïc Grenié on Wed, 25 Mar 2015 14:43:46 +0100
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Re: bnfinit new record: degree 105
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- To: pari-dev@pari.math.u-bordeaux.fr
- Subject: Re: bnfinit new record: degree 105
- From: Loïc Grenié <loic.grenie@gmail.com>
- Date: Wed, 25 Mar 2015 14:43:39 +0100
- Delivery-date: Wed, 25 Mar 2015 14:43:46 +0100
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- In-reply-to: <20150325120552.GD11464@yellowpig>
- References: <20150325120552.GD11464@yellowpig>
On 2015-03-25 around 13:05 GMT+01:00 Bill Allombert 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)^+.
Wow!
Loïc