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Maxima - Maxima is a fairly complete computer algebra system written in Lisp with an emphasis on symbolic computation.
MATLAB - A high-level language and interactive environment for numerical computation, visualization, and programming
Freemat - Documentation has been migrated to doxygen. A number of improvements have been made to the JIT back end. 64-bit on all platforms! It's not a long list, but given the nearly 2 years since the last release, 4.
GNU Octave - GNU Octave is a programming language for scientific computing.
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.
NumPy - NumPy is the fundamental package for scientific computing with Python