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The Magma system is used extensively within pure mathematics. The
Computational Algebra Group maintain a list of publications that cite Magma, and as of 2010 there are about 2600 citations, mostly in pure mathematics, but also including papers from areas as diverse as economics and geophysics.
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scientific research or educational institutions. All students, researchers and faculty associated with a participating institution will be able to access Magma for free, through that institution.
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Magma was officially released in August 1993 (version 1.0). Version 2.0 of Magma was released in June 1996 and subsequent versions of 2.X have been released approximately once per year.
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Magma has a type for invariant rings of finite groups, for which one can primary, secondary and fundamental invariants, and compute with the module structure.
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computer algebra system for comprehensive computations in algebraic number fields. A special type also allows one to compute in the
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Magma has extensive tools for computing in representation theory, including the computation of
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Magma V2.12 is apparently "Overall Best in the World at
Polynomial GCD" :-)
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Magma's High
Performance for computing Hermite Normal Forms of integer matrices
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algorithms for all fundamental integer and polynomial operations, such as the
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In 2013, the
Computational Algebra Group finalized an agreement with the
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The predecessor of the Magma system was named Cayley (1982–1993), after
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as volume 19 of the
Algorithms and Computations in Mathematics series.
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algorithms for all fundamental dense matrix operations, such as
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algorithms for reducing sparse systems which arise in
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for fast multiplication of integers and polynomials.
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572:"Summary of New Features in Magma V2.27-8"
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262:Mathematical areas covered by the system
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552:Comparison of computer algebra systems
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603:"Discovering Mathematics with Magma"
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203:Computational Algebra Group
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650:"Magma 2.13 release notes"
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648:John Cannon (July 2006).
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175:. It is named after the
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216:In late 2006, the book
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115:Computer algebra system
71:; 18 months ago
894:symbolic math toolbox)
635:Magma Computer Algebra
294:(finite or infinite),
477:Representation theory
335:Elliptic Curve Method
331:Integer factorization
304:straight-line program
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525:incidence structures
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403:Gaussian elimination
211:University of Sydney
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519:Arithmetic geometry
453:Commutative algebra
383:asymptotically fast
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205:within the
1006:Categories
949:Mathomatic
558:References
509:Lie theory
491:algorithm.
296:polycyclic
89:Written in
76:2023-02-22
835:Xcas/Giac
795:Macaulay2
415:Markowitz
252:nonprofit
184:Unix-like
978:Category
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825:Singular
820:SageMath
805:Normaliz
546:See also
428:and the
426:Lattices
418:pivoting
341:and the
222:Springer
169:geometry
944:Macsyma
878:Mathcad
810:PARI/GP
760:Cadabra
523:Finite
489:Meataxe
407:Lanczos
292:abelian
288:soluble
232:History
209:at the
191:Windows
161:algebra
131:Website
122:License
74: (
959:ALTRAN
954:muMATH
934:Erable
929:Derive
892:MATLAB
815:Reduce
800:Maxima
775:FriCAS
770:Fermat
683:(2004)
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280:matrix
138:.maths
924:CAMAL
888:muPAD
873:Maple
868:Magma
840:Yacas
830:SymPy
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589:(PDF)
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Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
