Georgi Guninski on Sat, 10 May 2014 15:05:30 +0200 |
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Re: Reducible thue() might be missing solutions |
On Sat, May 10, 2014 at 02:50:42PM +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 > > Over the years, a number of various bugs in thue has been reported. > Unfortunately, neither Karim nor I use it much, so it would be quite useful > if users of the function provided various families of test-cases. > Hm, one approach is to generate equations with known solutions by equating coefficients, search for other small solutions and compare with the output. Some heuristic might help too. Might try to do this, but unless the current issue is fixed it is like beating a death horse. Does thueinit(,0) still depend on GRH?