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Java Geometry Expert

Cabri: Dynamic geometry software

CoCoA

GAP: Groups, Algorithms and Programming

Gb and FGb

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Macaulay 2

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The Magma System for Algebra, Number Theory and Geometry (U Sydney)

Pari: computer-aided number theory

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Singular: A Computer Algebra System for Polynomial Computations

wsolve: A Maple Package for Solving System of Polynomial Equations