On Sun, Jul 14, 2013 at 12:09 AM, Thilina Rathnayake
<[email protected]> wrote:
> Hi All,
>
> I am planning to implement ternary quadratic forms, i.e equations of the
> form,
> a*x**2 + by**2 + cz**2 + fxy + gyz + hzx = 0. It would be better If I can
> find
> a system which currently implement this so I can validate my results. If you
> know
> of any system which solves this or a source which have good literature on
> the problem,
> please let me know.

What is the literature that you plan to use to get the algorithm in
the first place?

Aaron Meurer

>
> Also I have to solve the quadratic congruence x**2 = D (mod m) as a sub
> problem to implement the algorithm I found. I found a few algorithms on this
> but
> none of them explain precisely how to solve the general equation, all they
> do is
> solve the equation for m prime and gcd(D, m) = 1 and just ask to use Chinese
> remainder theorem to combine the results to solve for the general case where
> m
> is not prime and gcd(D, m) not necessarily equal to 1. Any help on this
> would
> be highly appreciated.
>
> Regards,
> Thilina
>
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