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Release Notes V1.02-1 (3 March 1995)
Release Notes V1.02-1 (3 March 1995)
Magma V1.02-1 (3 March 1995)
Recent Changes and Improvements
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Totally New Categories
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Power series and Laurent series (free and fixed precision).
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Abelian groups.
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Free-precision real and complex fields (from Pari system).
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Valuation rings.
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Rings and Fields
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Ideals of most "interesting" rings.
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Many ring predicates e.g. IsIntegralDomain.
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Predicates on elements e.g. IsNilpotent.
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Polynomial Rings
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Improved factorization over Z and Q
(using ideas from the recent paper
"Improved Techniques in Univariate Polynomial Factorization"
by G. Collins and M. Encarnacion).
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Efficient GCD of univariate polynomials over
Algebraic Number Fields using modular algorithm.
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Factorization of univariate polynomials over
Algebraic Number Fields.
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Matrix Rings
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Left/right/two-sided ideals, quotients,
minimal/maximal ideals, radical, etc.
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Quadratic Fields
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Added features.
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Improved functionality and bug fixes.
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Finite Fields
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Discrete logarithm (Pohlig-Hellman) for moderate-sized fields.
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Modules
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Submodule lattice.
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General Hom and Endo algorithm for reducible modules.
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Decomposability testing; Indecomposable summands.
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Matrices
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New efficient Hermite algorithms from G. Havas and B. Majewski.
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Hermite form of a matrix with transformation matrix
close to optimal in that its entries
are all minimal using LLL based ideas.
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