PARI is a widely used computer algebra system designed for fast
computations in number theory (factorizations, algebraic number
theory, elliptic curves...), but also contains a large number of other
useful functions to compute with mathematical entities such as
matrices, polynomials, power series, algebraic numbers, etc., and a
lot of transcendental functions.
The extra data is avaialable through use flag:
* elldata is PARI/GP version of J. E. Cremona Elliptic Curve Data,
needed by ellsearch and ellidentify.
* galdata is needed by polgalois to compute Galois group in degrees
8 through 11.
* seadata is needed by ellap for large primes.
* nftables is a repackaging of the historical megrez number field
tables (errors fixed, 1/10th the size, easier to use).