Karim BELABAS on Sat, 7 Sep 2002 11:22:36 +0200 (MEST)


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Re: long-standing bug


On Fri, 6 Sep 2002, Igor Schein wrote:
> ? allocatemem()
>   ***   Warning: doubling stack size; new stack = 16000000 (15.259 Mbytes).
> ? setrand(1);rnfkummer(bnrinit(bnfinit(quadpoly(-9748,y),1),1,1),matdiagonal([3,1]));
>   ***   sorry, buchxxx couldn't deal with this field PLEASE REPORT!.

More natural way to reproduce the problem:

  setrand(1); bnfinit(x^4 - 2437*x^2 + 5938969)

[the random seed doesn't seem to be important]

> The *beauty* of this bug is that it goes as far back as version
> 2.0.14.    Looks like it could be a genuine failure of Buchmann
> algorithm.

of our implementation thereof...

I'm investigating this.

    Karim.
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Karim Belabas                    Tel: (+33) (0)1 69 15 57 48
Dép. de Mathematiques, Bat. 425  Fax: (+33) (0)1 69 15 60 19
Université Paris-Sud             Email: Karim.Belabas@math.u-psud.fr
F-91405 Orsay (France)           http://www.math.u-psud.fr/~belabas/
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