# Evaluating characters of linear algebraic group

How would I evaluate the characters on $SL_2(\mathbb{F}_q)$ on some conjugacy class (which I know one element of). I think I will have to use the port to GAP, as constructing characters of non-permutation groups doesn't seem to implemented. I could construct the character table, but that is maybe inefficient.

@vukov

Please provide some code to get helpers started. For example, defining the element you have in mind.

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