Georgi Guninski on Sat, 10 May 2014 14:19:29 +0200


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Re: Reducible thue() might be missing solutions 

On Sat, May 10, 2014 at 01:00:44PM +0200, Bill Allombert wrote:
> On Sat, May 10, 2014 at 01:31:14PM +0300, Georgi Guninski wrote:
> > 2.5.5 on linux.
> > 
> > Reducible thue appears to miss solution,
> > as shown:
> > 
> > ? A=10946;B=6765;F=(A*x-B*y)*(x^2+x*y-y^2);th=thueinit(subst(F,y,1),1);so=thue(th,1)
> > %7 = [[4181, 6765], [10946, 17711]]
> > ? so2=[2584, 4181];subst(subst(F,x,so2[1]),y,so2[2])
> > %8 = 1
> > 
> > Same with thueinit(,0).
> 
> also with 2.7.0,
> ? A=10946;B=6765;F=(A*x-B*y)*(x^2+x*y-y^2);th=thueinit(subst(F,y,1),1);so=thue(th,1)
> %1 = []
>

master is missing a lot of solutions in this specific case.