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2018-01-06 04:05:14 +0100 commented question Routines for Pell's equations

Thank you very much @dan_fulea. It seemed to work for higher prime numbers as well - it just took some time. Btw, is there a routine that exists that gives a scalar multiple of a solution (<x,y>?

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2017-12-20 09:42:27 +0100 commented question Routines for Pell's equations

Let's say D = 2 and p = 11, Is there a routine that outputs all the solutions to the equation x^2 - 2y^2 mod 11? Thanks

2017-12-17 21:15:27 +0100 asked a question Routines for Pell's equations

Hi,

I am interested in finding solutions to Pell's equations in finite fields. Are there Sagemath routines that I could use or should I create my own routines? I am interested in finding out solutions to the general equation x^2 - Dy^2 = 1 (mod p). Solutions to this form an closed Abelian group and the points form a cyclic subgroup.

Any suggestions/pointers would be deeply appreciated. Thank you, Rahul