I would like to compute the spectrum of a certain Cayley graph on PGL(2,q), for 
a certain prime power q.

I created the generators of the graph as elements of GL(2,q).

Now, how do I get the spectrum of the Cayley graph on PGL(2,q)? I thought to 
first create the Cayley graph using PGL.cayley_graph(), and then take the 
spectrum. But, taking a quotient is not implemented on GL(2,q), so I can't even 
move from GL to PGL.

Of course, I can work hard to create the adjacency matrix, then take the 
spectrum, but I'm hoping for an easier solution.

(I am new to Sage).

Thanks,
Oren.

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