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gTybalt
An experimental free computer algebra system built on top of GiNaC, CLN and a program to interpret C and C++ commands.

Software for Computing Primitive Polynomials.
Free C software for computing primitive polynomials of degree n modulo p for p^n up to about 2^60.

MathPad - Scientific Matrices Calculator
Java applet based online Matrix calculation program for analyzing various simultaneous equations.

JACAL
An interactive symbolic mathematics program. JACAL can manipulate and simplify equations, scalars, vectors, and matrices of single and multiple valued algebraic expressions containing numbers, variables, radicals, and algebraic differential, and holonomic functions. Linux RPM distribution.

Schur
A package for Lie groups by Brian G. Wybourne. DOS, Win32, Unix. Ordering information.

FINITAS
Discussion group for this package for the construction and analysis of finite algebraic structures such as loops, quasigroups, and groups.

LOWX
Parallel "low-index subgroups algorithm" software by Peter Dobcsányi for finding all subgroups up to given index in a finitely-presented group. Download documentation and binary distribution for Linux/i386 and Sparc/Solaris platforms.

Math Forum - Algebra Software
Algebra software resources compiled by The Math Forum.

Macaulay 2
A new software system devoted to supporting research in algebraic geometry and commutative algebra.

Maxima
A GPL CAS based on DOE-MACSYMA. A GPL project.

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