On Feb 1, 2008 7:38 AM, Jörn Steuding
<[EMAIL PROTECTED]> wrote:
> Dear Prof Stein,
>
> I am very impressed by the abilities of SAGE and your nice SAGE Reference
> Manual. However, when a student of mine was trying to perform some
> computations with a symmetric power L-function associated with a certain
> elliptic curve, it occured that the command
>
> sage: print sympow.Lderivs(EllipticCurve('11a'), 1, 16, 2) # not tested
>
> (in Chapter 35.2) doesn't seem to work properly. It would be a big help for
> our research project if such computations could be realized.
When you do the above it produces a message that one must do a
precomputation first. Have your student paste this into Sage exactly
as is, then try again:
sage: sympow('-new_data 1d0')
sage: sympow('-new_data 1d1')
sage: sympow('-new_data 1d2')
etc. until the command
sage: print sympow.Lderivs(EllipticCurve('11a'), 1, 16, 2) # not tested
works. We have not automated doing the new_data precomputation
yet, due to lack of time. Perhaps your student could make it automated
and submit a patch for inclusion in Sage.
Anyway, after doing the above, one has:
sage: print sympow.Lderivs(EllipticCurve('11a'), 1, 16, 2)
sympow 1.018 RELEASE (c) Mark Watkins --- see README and COPYING for details
Minimal model of curve is [0,-1,1,-10,-20]
At 11: Inertia Group is C1 MULTIPLICATIVE REDUCTION
Conductor is 11
sp 1: Conductor at 11 is 1+0, root number is -1
sp 1: Euler factor at 11 is 1-1*x
1st sym power conductor is 11, global root number is 1
NT 1d0: 19
NT 1d1: 17
NT 1d2: 15
Maximal number of terms is 19
Done with small primes 1049
Computed: 1d0 1d1 1d2
Checked out: 1d0
1n0: 2.538418608559107E-01
1w0: 2.538418608559108E-01
1n1: 1.032321840884568E-01
1w1: 1.059251499158892E-01
1n2: 3.238743180659171E-02
1w2: 3.414818600982502E-02
>
> Thanks in advance!
>
> Best regards,
>
> Joern.
> ___________________
>
> Prof. Dr. Jörn Steuding
> Institut für Mathematik
> Lehrstuhl für Funktionentheorie
> Universität Würzburg
> Am Hubland
> 97074 Würzburg
> Germany
>
--
William Stein
Associate Professor of Mathematics
University of Washington
http://wstein.org
--~--~---------~--~----~------------~-------~--~----~
To post to this group, send email to [email protected]
To unsubscribe from this group, send email to [EMAIL PROTECTED]
For more options, visit this group at
http://groups.google.com/group/sage-support
URLs: http://www.sagemath.org
-~----------~----~----~----~------~----~------~--~---
