PARI/GP is a widely used computer algebra system designed for fast computations in number theory e.g factorizations, algebraic number theory.

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## SageMath – open source Python mathematics software system

SageMath is a computer algebra system written in Python and Cython and integrates an included distribution of specialized mathematics.

Read more## Axiom – general purpose computer algebra system

Axiom is a general purpose computer algebra system.Axiom is useful for research and development of mathematical algorithms.

Read more## SymPy – Python library for symbolic mathematics

SymPy is an open source Python library for symbolic mathematics. It aims to become a full-featured computer algebra system (CAS).

Read more## Maxima – computer algebra system

Maxima is a system for the manipulation of symbolic and numerical expressions, including differentiation, integration, Taylor series…

Read more## Scilab – software for numerical computation

Scilab includes hundreds of mathematical functions. It has a high level programming language allowing access to advanced data structures.

Read more## Octave – scientific programming language

Octave is a high-level language, primarily intended for numerical computations.It provides a convenient command line interface.

Read more## Mathics – alternative to Mathematica

Mathics is a general-purpose computer algebra system (CAS). It features Mathematica-compatible syntax and functions.

Read more## FORM – Symbolic Manipulation System

FORM is a Symbolic Manipulation System. It reads symbolic expressions from files and executes symbolic/algebraic transformations upon them.

Read more## Cadabra – symbolic computer algebra system for field theory problems

Cadabra is a symbolic computer algebra system (CAS) designed specifically for the solution of problems encountered in field theory.

Read more## Macaulay2 – supporting research in algebraic geometry and commutative algebra

Macaulay 2 is a computer algebra system devoted to supporting research in algebraic geometry, commutative algebra, and their applications.

Read more## GAP – system for computational discrete algebra

GAP is a system for computational discrete algebra, with particular emphasis on Computational Group Theory.

Read more## FriCAS – advanced computer algebra system

FriCAS is an advanced, open source, computer algebra system, a self-contained toolbox ranging from calculus to abstract algebra.

Read more## CoCoA – Computations in Commutative Algebra

CoCoA is an open source interactive system for doing computations in commutative algebra. CoCoALib is a C++ library.

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