bigint integer arithmetic
bigmod modular integer arithmetic
bigrational rational arithmetic
bigfloat real arithmetic (including Pi, E, exp, log,
sqrt, sin, cos, ...)
bigcomplex complex arithmetic
bigint_matrix linear algebra over the integers
lattice_basis lattice reduction algorithms (variants of
the LLL algorithm for doubles, bigints and
bigfloats).
lattice_gensys algorithms for finding lattices from
generating systems
rational_factorization arithmetic with factorizations of integers
(Trial Division, ECM).