On Wednesday, May 13, 2015 at 8:06:16 PM UTC-7, Phoenix wrote:
>
> BTW, just curious : isn't there a way by which you could have just 
> randomly generated a set of q^3 permutation matrices each of dimension q^2 
> instead of looking for a specific example? Can't SAGE randomly generate one 
> such set? 
>

That's really straightforward:

sage: q=4
sage: G=SymmetricGroup(q^2)
sage: L=[G.random_element().matrix() for i in [1..q^3]]

The distribution with which the elements are selected from G is whatever 
Gap uses. I'd assume it's the uniform distribution.

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