On Nov 1, 2007, at 12:11 AM, William Stein wrote:
> On Thu, 01 Nov 2007 00:00:57 -0700, Robert Bradshaw
> <[EMAIL PROTECTED]> wrote:
>> The answer is, I believe, yes. Should it rely on the check flag to
>> decide whether or not to try and factor?
>
> Wait, is there a good reason to ever compute
ok, I'm happy!
On 01/11/2007, William Stein <[EMAIL PROTECTED]> wrote:
>
> On 11/1/07, John Cremona <[EMAIL PROTECTED]> wrote:
> > In my opinion construction of the field, in order to able to do basic
> > arithmetic in it, should not require any checking other than that the
> > defining polynomia
On 11/1/07, John Cremona <[EMAIL PROTECTED]> wrote:
> In my opinion construction of the field, in order to able to do basic
> arithmetic in it, should not require any checking other than that the
> defining polynomial is irreducible -- in this case, whether D is a
> square. Only if you need the r
In my opinion construction of the field, in order to able to do basic
arithmetic in it, should not require any checking other than that the
defining polynomial is irreducible -- in this case, whether D is a
square. Only if you need the ring of integers should it be necessary
to do the extra work
On Nov 1, 2007, at 12:11 AM, William Stein wrote:
> On Thu, 01 Nov 2007 00:00:57 -0700, Robert Bradshaw
> <[EMAIL PROTECTED]> wrote:
>> The answer is, I believe, yes. Should it rely on the check flag to
>> decide whether or not to try and factor?
>
> Wait, is there a good reason to ever compute
On Thu, 01 Nov 2007 00:00:57 -0700, Robert Bradshaw <[EMAIL PROTECTED]> wrote:
> The answer is, I believe, yes. Should it rely on the check flag to
> decide whether or not to try and factor?
Wait, is there a good reason to ever compute the discriminant in order to
represent elements of the field?
The answer is, I believe, yes. Should it rely on the check flag to
decide whether or not to try and factor?
- Robert
On Oct 31, 2007, at 11:58 PM, William Stein wrote:
>
> Robert,
>
> You massively sped up quadratic field arithmetic, which is really
> awesome.
> Unfortunately the following
