Karim BELABAS on Wed, 5 Mar 2003 21:09:58 +0100 (MET) |
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Re: another angle os |
On Wed, 5 Mar 2003, Igor Schein wrote: > ? setrand(7);rnfkummer(bnrinit(bnfinit(quadpoly(-391483,y)),2,1),Mat(3)) > *** inconsistent data in hnfdivide. Our old friend the heuristic class group bound: [ first item in TODO ] (20:49) gp > setrand(7);bnfinit(quadpoly(-391483,y),,[0.4]).cyc %1 = [64] \\ correct (20:50) gp > setrand(7);bnfinit(quadpoly(-391483,y),,[0.3]).cyc %2 = [32, 2] \\ wrong > How let's look at the timing pattern: [...] > So except .3, all other values produce a valid answer, but some more > efficiently, some less efficiently, and the timing is consistent > within each of the 2 groups. Luck factor? I don't have any other explanation. Karim. -- Karim Belabas Tel: (+33) (0)1 69 15 57 48 Dép. de Mathématiques, Bât. 425 Fax: (+33) (0)1 69 15 60 19 Université Paris-Sud http://www.math.u-psud.fr/~belabas/ F-91405 Orsay (France) http://www.parigp-home.de/ [PARI/GP]