|
Loïc Grenié on Sat, 28 Mar 2015 22:55:24 +0100
|
[Date Prev] [Date Next] [Thread Prev] [Thread Next] [Date Index] [Thread Index]
|
Re: bnfinit new record: degree 105
|
- To: pari-dev@pari.math.u-bordeaux.fr
- Subject: Re: bnfinit new record: degree 105
- From: Loïc Grenié <loic.grenie@gmail.com>
- Date: Sat, 28 Mar 2015 22:55:17 +0100
- Delivery-date: Sat, 28 Mar 2015 22:55:24 +0100
- Dkim-signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=gmail.com; s=20120113; h=mime-version:in-reply-to:references:date:message-id:subject:from:to :content-type:content-transfer-encoding; bh=ihIfctY4FSqmetrFqP0cbP7p996yjS4WC5MYjdybpgQ=; b=pnlUAdgTqkG8fsfpP4gK9dBRltvUosN3NQfvkMLPZ7HxLjz7FafM0mbrZ4LBtWgIIt 8UgRtZCwQrsrQV14AIUkiOuoa4AngwMDNw9TIj3KG4dVFp8a+8nN8hplPnNTIxIyvVYh IQe98onPKIcp52ROAHvgu5HncRZCw4f5tGBvkuuWp529nUdmUN/u/UPpSHbnA4MbomyM QJrL14UUspUENOHmC5DJ4FCPYrWuFf0h6BVs2zQaOTdJgZhvK/KKvMWBvnlJG4A1JGxE 4alYlSCZvMca60Foga/gtJyHgx3hpMlAd3ydMFu3cENWccbdED57Y0LRCSjMtuVBXIsS ERVQ==
- In-reply-to: <20150325145830.GA12461@yellowpig>
- References: <20150325120552.GD11464@yellowpig> <CACLE5GA3PttwEcXYcMZn8ZwM_=YWv0SS4O_KW6cdBxB2q_ubuw@mail.gmail.com> <20150325145830.GA12461@yellowpig>
On 2015-03-25 around 15:58 GMT+01:00 Bill Allombert wrote:
> One conclusion is that, if the size of the discriminant is fixed, then
> bnfinit is faster on fields of large degree than on fields of small degree.
I've observed that on several occasions. The main reason in the
computations
I have done (in collaboration with G. Molteni) is that a sum on the
zeros of the
Dedekind zeta function often comes with a negative coefficient for the degree.
This could be interpreted as: for fixed degree, as the discriminant
gets higher
the field becomes more complicated.
Loïc