Dear John Cremona,
Thanks for your reply.

For n=45000 or smaller, it works well and gives an output. Then the next 
number I tried is 50000 and this gave an Error. 

In sage 5.7, this doesn't work neither.

I even don't know yet why this happens exactly.

PS:
I'm trying to compute the modular Galois represtations of Ramanujan tau 
function using the algorithm by Johan Bosman, which requests a huge 
precision for q-expansion of modular forms used inside the code. Actually, 
this error happens when I ran Bosman's code and sage indicates that 
HeilbronnMere went wrong in this case.


On Wednesday, February 27, 2013 2:26:55 PM UTC+1, John Cremona wrote:
>
> I cannot think of a reason for computing Heilbronn matrices of such 
> large index, so you have one?  And how does it perform for smaller n, 
> say 1000, 10000, 20000, ...? 
>
> Lastly, Sage-5.7 has been released so you should upgrade (but I am not 
> saying if any relevant code has changed between 5.4.1 and 5.7, as I 
> have not checked). 
>
> John 
>
> On 27 February 2013 11:32, Peng <tianpen...@gmail.com <javascript:>> 
> wrote: 
> > Dear all, 
> > 
> > I've tried to compute Heilbronn Matrices for n=50000 in sage 5.4.1, but 
> the 
> > following Error comes out when I run 
> > 
> >       sage: H=HeilbronnMerel(50000) 
> > 
> > -------------------------------------------------------------------- 
> > 
> > RuntimeError Traceback (most recent call last) 
> > 
> > /home/guests/sage-5.4.1/<ipython console=""> in <module>() 
> > 
> > 
> /home/guests/sage-5.4.1/local/lib/python2.7/site-packages/sage/modular/modsym/heilbronn.so
>  
>
> > in sage.modular.modsym.heilbronn.HeilbronnMerel.__init__ 
> > (sage/modular/modsym/heilbronn.c:5185)() 
> > 
> > 
> /home/guests/sage-5.4.1/local/lib/python2.7/site-packages/sage/modular/modsym/heilbronn.so
>  
>
> > in sage.modular.modsym.heilbronn.HeilbronnMerel._initialize_list 
> > (sage/modular/modsym/heilbronn.c:5343)() 
> > 
> > RuntimeError: Floating point exception 
> > 
> > -------------------------------------------------------------------- 
> > 
> > It seems to be a bug in sage when computing Heilbronn Matrices for large 
> n. 
> > However, I even couldn't find out why this happens. Anybody can please 
> help 
> > me handle with that? Thank you. 
> > 
> > 
> > Best regards! 
> > 
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