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$\mathit{Sp}_{4}(\mathbb{Z})$
We determine the index of five of the seven hypergeometric Calabi–Yau operators that have finite index in 
$\mathit{Sp}_{4}(\mathbb{Z})$ and in two cases give a complete description of the monodromy group. Furthermore, we find six nonhypergeometric Calabi–Yau operators with finite index in 
$\mathit{Sp}_{4}(\mathbb{Z})$, most notably a case where the index is one.
