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Modular ATLAS
: Modular characters of sporadic simple groups.
CAIN
: Computer Algebra Information Network.
CHEVIE
: Computer algebra package for computation with Coxeter groups, Iwahori-Hecke-Algebras, Chevalley groups, ...
GAP
: Computer algebra system for discrete algebra, especially finite groups.
KASH/KANT
: Software package for algebraic number theory.
MACAULAY
: Computer algebra system.
MAGMA
: Software package for algebra, number theory, geometry and combinatorics.
MAPLE
: Computer algebra system for symbolic computation.
PARI
: Package for number theory.
SINGULAR
: Computer algebra system for polynomial computations.