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Introduction
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MAGMA
Summary of New Features in Magma V2.13
July 2006
Introduction
Summary
Removals and Changes
Documentation
Language and System Features
Aggregates
Groups
Matrix Groups Over General Rings
Matrix Groups over Finite Fields
Finite Soluble Groups
Finitely Presented Groups
Basic Rings
Integer Ring
Real and Complex Fields
Linear Algebra and Module Theory
Matrices
Modules over Dedekind domains
Commutative Algebra
Extensions of Rings
Algebraic Number Fields
Algebraically Closed Fields
Quadratic Fields
Abelian Extensions
Algebraic Function Fields
Newton Polygons
Series Rings
Differential Rings
Differential Rings
Lattices and Quadratic Forms
Lattice Reduction
Algebras
Quaternion Algebras
Orders of Associative Algebras
Lie Theory
Root Systems and Root Data
Coxeter Groups as Permutation Groups
Groups of Lie Type
Algebraic Geometry
Schemes
Algebraic Curves
Arithmetic Geometry
Rational Curves and Conics
Elliptic Curves
Mordell-Weil groups
Heegner Points
Three-Descent
Integral Points
Elliptic Curves over Number Fields
Elliptic Curves over Finite Fields
Elliptic Curves over Function Fields
Genus One Models
Hyperelliptic Curves
Jacobians over Number Fields
Jacobians over Finite Fields
Modular Abelian Varieties
Incidence Structures
Graphs
Hadamard Matrices
Finite Incidence Geometry
Coding Theory
Linear Codes over Finite Fields
Algebraic-geometric Codes
Low Density Parity Check Codes