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Magma is produced and distributed by the Computational Algebra Group within the School of Mathematics and Statistics of the University of Sydney. The predecessor of the Magma system was called "Cayley".
Magma contains many of the most sophisticated and efficient known algorithms for its calculations. However, its cost makes it difficult to obtain outside of a university setting. GAP is a free computer algebra system with a similar focus. However, its functionality is a subset of Magma's.