By running the code in molien_series() directly in Sage, I can do the 
computation, but not by calling the method. So it seems to be something 
within Sage with the interface with libgap.

Best,
Travis


On Friday, December 9, 2022 at 8:55:15 AM UTC+9 guru....@gmail.com wrote:

> Hi, 
> i ran into a bug while trying to compute the molien series of a 
> permutation group. 
>
> SageMath version 9.3, Release Date: 2021-05-09,  Using Python 3.7.10. 
> Operating system: Windows 11, 64-bit
>
> It works fine for most permutation groups but calling: 
>
> PermutationGroup(["(1,2,3,4,5,6,7)","(5,6,7)"]).molien_series()
>
> gives an GAP Error which doesn't make sense to me in the given context. 
>
> GAPError: Error, ^ cannot be used here to compute roots (use `RootInt' 
> instead?)
>
> Similar examples which also produce the same bug are:
>
> PermutationGroup(["(1,2,3,4,5,7)","(5,6,7)"]).molien_series()
> PermutationGroup(["(1,2,3,4,7)","(5,6,7)"]).molien_series()
> PermutationGroup(["(1,2,3,4,7)","(5,7,8)"]).molien_series()
>   
> Thanks for looking into it. 
> Kind regards, 
> Jonas
>
>
>

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