---------- Forwarded message ----------
From: Nick Alexander <[email protected]>
Date: Wed, Oct 28, 2009 at 10:56 PM
Subject: Re: [sage-support] Jacobian Element over HyperElliptic Curves
To: William Stein <[email protected]>, Daniel Ribeiro <[email protected]>


> (x^2 + 23*x + 15, y + 18*x + 3)
>
> Which does not seem right, since D was supposed to be represented by
> [x**2 + 23 *x +15, 13*x + 28], and
>
> sage: (18 *x + 3) == (13*x + 28)
> False

It seems that y + 18*x + 3 == y - (13*x + 28) over GF(31).

So this is correct, you're just seeing a different convention -- we're
making this a polynomial in F[y][x] that after you substitute in the
correct x, you can solve for y.

Nick



-- 
William Stein
Associate Professor of Mathematics
University of Washington
http://wstein.org

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