On Thu, Jun 28, 2012 at 8:27 AM, Jörn Steuding
<steud...@mathematik.uni-wuerzburg.de> wrote:
> Dear Prof. Stein,
>
> I have question concerning SAGE: when I try to compute the generators of
> Gamma_0(3) (for example) and I use the command
>
>   Gamma0(3).generators(algorithm="todd-coxeter")
>
> I receive
>
>   Traceback (click to the left of this block for traceback)
>   ...
>   TypeError: generators() got an unexpected keyword argument 'algorithm'

You are probably using a really old version of Sage, since it works fine for me:

sage: Gamma0(3).generators(algorithm="todd-coxeter")
[
[1 1]  [-1  0]  [ 1 -1]  [1 0]  [1 1]  [-1  0]  [ 1  0]
[0 1], [ 0 -1], [ 0  1], [3 1], [0 1], [ 3 -1], [-3  1]
]

>
> Unfortunately, for some congruence subgroups (I think Gamma_0(5)) the
> routine 'generators' (without specification of the algorithm) does not
> provide a complete list of generators.

Really?  This sounds like a major bug.  What version of Sage are you
using?  What N doesn't work.

Please use sage-support henceforth:

  https://groups.google.com/forum/?fromgroups#!forum/sage-support

>
> Can you please help me?
>
> Best, Joern.
>
> ____________
>
> Prof. Dr. Joern Steuding
> Department of Mathematics
> Chair of Complex Analysis
> University of Würzburg
> Am Hubland
> 97074 Würzburg
> Germany
>
> Math building room 122
> phone:  +49 (931) 888-5008
> fax:    +49 (931) 888-5376
> e-mail:         steud...@mathematik.uni-wuerzburg.de



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

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