sage: G = libgap.AlternatingGroup(5)
sage: chi = G.Irr()[1]
sage: libgap.MolienSeries(chi)
( 1-z^2-z^3+z^6+z^7-z^9 ) / ( (1-z^5)*(1-z^3)*(1-z^2)^2 )


On Saturday, August 27, 2016 at 11:00:23 PM UTC+2, saad khalid wrote:
>
> Also, on the matter on efficiency, I believe Dima mentioned a few months 
> ago in a post that GAP is far better at computing the molien series of 
> groups(which is exactly what I'm trying to do here). However, I couldn't 
> figure out how to do that in Sage. How do I generate a group in GAP and 
> calculate it's molien series, like I did in my above M2/Sage code? What I 
> need to do for my project is compile a list of all the molien series of all 
> the possible groups for a certain root of unity. So like, the matrices in 
> my group are 3x3, I was thinking that I would have 3 levels of nested 
> loops, where each would vary the exponent on zet up to the root of unity. 
> So, for example if I'm doing a 20th root of unity, it would be something 
> like (psuedocode): 
>

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