There were few notes about it in the paper and I am pretty sure I can find some references for it. If that is the case, is this kind of a representation good?
Regards, Thilina On Wed, Jul 3, 2013 at 9:46 PM, Ondřej Čertík <[email protected]>wrote: > On Wed, Jul 3, 2013 at 9:54 AM, Thilina Rathnayake > <[email protected]> wrote: > > > > > > Putting n = 0, 1, .... will result in solutions in the four classes. > > > > Putting n = 0 in the second one will give (40, 11), which corresponds to > > a fundamental solution for on of the classes. Putting n = 0 in the fourth > > one will give (12, 3) > > which also corresponds to one of the fundamental solution we have found. > > > > Putting n= 0 in the first one and third one does not yield the same > > fundamental > > solutions found by diop_pell() (they simplifies to (-40, -11) and (-12, > -3) > > respectively). > > I used the LMM algorithm discussed in the paper, so sometimes fundamental > > solutions > > found by different algorithms for each class may differ (LMM returns > minimal > > positive > > solutions so this makes sense). > > > > Here is the paper, > > > > http://www.jpr2718.org/pell.pdf > > > > x**2 - 13*y**2 = 27. diop_pell(13, 27) is discussed at the last > > paragraph of page 14. > > I see! Yes, so I think that the only part missing is how to get from > the general equivalence class, for example (12, 3), to the general > solution in terms of "n" as Mathematica returns. > > Do you know how to implement that? > > Ondrej > > -- > You received this message because you are subscribed to the Google Groups > "sympy" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected]. > To post to this group, send email to [email protected]. > Visit this group at http://groups.google.com/group/sympy. > For more options, visit https://groups.google.com/groups/opt_out. > > > -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/sympy. For more options, visit https://groups.google.com/groups/opt_out.
