Robert,
You massively sped up quadratic field arithmetic, which is really awesome.
Unfortunately the following is now slow:
sage: p = next_prime(10^24); q = next_prime(10^26); D = p*q; D
sage: K.<b> = NumberField(x^2 - D, check=False)
because in the quadratic field constructor you factor the D no matter
waht in order to compute the discriminant. Is that really necessary?
It makes arithmetic in quadratic fields of large discriminant impossible.
Is there any way to easily change your quadratic fields code so it
doesn't require explicitly having the discriminant? (I strongly suspect
yes, but it's complicated code, so I'll let you decide for now.)
Anyway, this is trac #1043, and it came up when I was preparing for Math 583
today:
http://trac.sagemath.org/sage_trac/ticket/1043
-- William
--
William Stein
Associate Professor of Mathematics
University of Washington
http://wstein.org
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