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The Richelot isogeny graph and paramodular forms of weight 3: Atkin-Lehner signs and certified spectra
The Richelot $(2,2)$-isogeny graph $G_p$ of superspecial abelian surfaces in characteristic $p$ is the genus-2 analogue of the supersingular isogeny graph: its weighted adjacency matrix is a Brandt matrix for a compact inner form of $\mathrm{GSp}_4$, and it commutes with an Atkin-Lehner involution $
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