Prime-index overlattices preserving a Gamma 1 level structure (source code)

= Prime-index overlattices preserving a Gamma 1 level structure
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A lattice has $p+1$ index-$p$ overlattices. All preserve the exact order of a Gamma 1 level structure of order $N$ when $p\nmid N$; exactly $p$ do so when $p\mid N$.