On Sun, Jun 8, 2008 at 4:21 PM, David Joyner <[EMAIL PROTECTED]> wrote:
>
> Sorry, I don't know the SAGE command or if it has
> that functionality yet. I'm cc'ing the SAGE
> support list to see if someone there can help you.

As far as I know, Sage has no functionality for computing
weight 1 forms *yet*.   Such functionality is planned...

William

>
> ---- Original message ----
>>Date: Sun, 8 Jun 2008 12:27:30 -0400
>>From: "Hurt, Norm E." <[EMAIL PROTECTED]>
>>To: <[EMAIL PROTECTED]>
>>
>>   Dear Prof. Joyner, in Serre's paper Sur les
>>   representations modulaires (Duke (1987))he mentions
>>   in passing that he has checked his conjecture in the
>>   dihedral case S_3 for imaginary cubic fields and
>>   totally real cubic fields (p. 218).  He notes on p.
>>   219 that the cusp forms of weight one F' is a linear
>>   combination of theta functions of indefinite binary
>>   forms. His table on p. 217 mentions D=148, 229, 257,
>>   316. Okay, is there a reference showing the
>>   q-expansion of F' in any of these cases. Magma does
>>   not like theta functions for quadratic forms which
>>   are indefinite. If you can show me how to calculate
>>   the q-expansion of F' in SAGE, that would be great,
>>   or a reference to such.
>>
>>
>>
>>   Sincerely,
>>
>>
>>
>>   Norm Hurt
>>
>>
>
> >
>



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

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