group theory – How many ways can you paint a Decagon with q colors? Solve with Burnside’s lemma

How many ways can you paint a Decagon with q colors?
I need to solve it with Burnside’s lemma.
So far I managed to find only 2 symmetries, the identity, and this one.
I believe I miss the method, can someone solve, and try to explain how did he solve it?
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