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Modular group

{title2=$\mathcal F$}

The standard fundamental domain is
$$
\mathcal F=\{\tau\in\mathfrak h:|\tau|\geq1,\ -1/2\leq\operatorname{Re}\tau\leq1/2\}.
$$
Every orbit of the modular group meets $\mathcal F$.


Standard fundamental domain of the modular group

Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 137 / 2 / a / Solution

Standard fundamental domain of the modular group ( $F$ )

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Standard fundamental domain of the modular group (F)

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Standard fundamental domain of the modular group ( $F$ )

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