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Explicit description of the group of deck transformations acting on the universal cover of a Riemann Surface

I am finding the explicit description of genus $2$ surface as the upper half plane modulo group of Deck Transformation. I did't find it anywhere. Also, I found a similar question here. But, there is ...

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Explicit description of the group of deck transformations acting on the universal cover of a Riemann Surface

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Explicit description of the group of deck transformations acting on the universal cover of a Riemann Surface

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