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GAP package CongruenceCongruence subgroups of SL(2,Integers)The Congruence package 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 [WWW homepage] [Source code repository] [Issue tracker]
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