Software
A number of programs written or maintained by the team and distributed under free licenses have their own pages.

Pari/GP
A C library and a computer algebra system designed for fast computations in number theory. 
FLINT, Arb and Calcium
The FLINT C library is currently being rewritten to incorporate Arb, a library for arbitraryprecision floatingpoint real and complex ball arithmetic, and Calcium, a library for exact computation with real and complex numbers. The latter is capable of rigorously deciding the truth of any constant relation involving algebraic numbers and many relations involving transcendental numbers. 
GNU MPC
A C library for the arithmetic of complex numbers with arbitrarily high precision and correct rounding of the result. 
CM and CMH
These are C programs for computing ring class fields of imaginaryquadratic number fields or Shimura class fields of quartic CM fields; or, equivalently, elliptic curves or Jacobians of genus 2 curves with complex multiplication. Both use multiprecision floating point approximations. The CM code also contains an implementation of fastECPP for primality proving, including a parallel version for MPI. 
MPFRCX
A C library for the arithmetic of univariate polynomials over arbitrary precision real or complex numbers. 
abelianbnf
A GP script that computes the class group of certain Galois number fields by exploiting the existence of norm relations. 
quartic
A C program (depending on the Pari library) to compute tables of primitive quartic number fields with absolute discriminant bounded by some given constant. 
AVIsogenies
A Magma package for working with abelian varieties, with a particular emphasis on explicit isogeny computation.
More software has been developed in the LFANT team, the CANARI predecessor.