In half_integral.py there is a link:

    ALGORITHM: Basmaji (page 55 of his Essen thesis, "Ein Algorithmus
    zur Berechnung von Hecke-Operatoren und Anwendungen auf modulare
    Kurven", http://wstein.org/scans/papers/basmaji/).  

The URL doesn't seem valid (and assuming it's Jacques Basmaji the
paper doesn't seem published according to mathscinet.

Dan

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