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# GAP package Congruence
The GAP package Congruence provides functions
to construct several types
of
canonical congruence subgroups
in SL_2(Z),
and also intersections
of a
finite number
of such subgroups.
Furthermore, it implements the algorithm
for generating Farey symbols
for
congruence subgroups
and using them
to produce a system
of independent
generators
for these subgroups.
Congruence does
not use external binaries
and, therefore, works without
restrictions on the
type of the operating system. It
is redistributed
with
GAP, but
is not loaded by default. Therefore,
to use Congruence, first you
need
to load it using the following command:
gap> LoadPackage(
"congruence");
Ann Dooms, Eric Jespers, Olexandr Konovalov, Helena Verrill
[Dauer der Verarbeitung: 0.2 Sekunden, vorverarbeitet 2026-10-20]