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Magma
https://magma-maths.zulipchat.com
Magma is a large, well-supported software package designed for computations in algebra, number theory, algebraic geometry, and algebraic combinatorics. It provides a mathematically rigorous environment for defining and working with structures such as groups, rings, fields, modules, algebras, schemes, curves, graphs, designs, codes, and many others. Magma also supports a number of databases designed to aid computational research in those areas of mathematics which are algebraic in nature.
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