Georgi Guninski on Sat, 10 May 2014 12:47:50 +0200


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Re: Reducible thue() might be missing solutions 

With no solutions:

?
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,144)
%30 = []
? so2=[-2178309, -3524578];subst(subst(F,x,so2[1]),y,so2[2])
%31 = 144

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).