Libraries for finite field, elliptic curve, and polynomial arithmetic

☕ Symja - computer algebra language & symbolic math library. A collection of popular algorithms implemented in pure Java.

Taylor polynomial expansions in one and several independent variables.

The primary source code repository for Macaulay2, a system for computing in commutative algebra, algebraic geometry and related fields.

🏃‍♂️💨 GPU accelerated STARK prover built on @arkworks-rs

Polynomial manipulations in Julia

Julia bindings for the FLINT number theory C library

📐 Orthogonal polynomials in all shapes and sizes.

Multivariate polynomials interface

A JavaScript library to work with polynomials

A Julia package to construct orthogonal polynomials, their quadrature rules, and use it with polynomial chaos expansions.

Sum of Squares Programming for Julia

Bertini 2.0: The redevelopment of Bertini in C++.

Rings: efficient JVM library for polynomial rings

Elliptic Curve Fast Fourier Transform built on @arkworks-rs

Fast polynomial arithmetic in Haskell (dense and sparse, univariate and multivariate, usual and Laurent)

A modern c++ root finding algorithm based on the original Jenkins-Traub RPOLY software.

Fast complex polynomial root finder, with support for arbitrary precision calculations

Givaro - C++ library for arithmetic and algebraic computations