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Sage Math - Sage is a free open-source mathematics software system licensed under the GPL.
MATLAB - A high-level language and interactive environment for numerical computation, visualization, and programming
PARI/GP - PARI/GP is a widely used computer algebra system designed for fast computations in number theory - factorizations, algebraic number theory, elliptic curves, modular forms, L functions..
Wolfram Mathematica - Mathematica has characterized the cutting edge in specialized processing—and gave the chief calculation environment to a large number of pioneers, instructors, understudies, and others around the globe.
GNU Octave - GNU Octave is a programming language for scientific computing.
Cadabra - Cadabra is the name of a universal computer algebra system designed for those users looking for the solution to problems encountered in the filed theory.