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NTL: A Library for doing Number Theory - http://www.shoup.net/ntl/
A high-performance, portable C++ library providing data structures and algorithms for manipulating signed, arbitrary length integers, and for vectors, matrices, and polynomials over the integers and over finite fields. |
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http://www.loria.fr/~zimmerma/records/ecmnet.html - http://www.loria.fr/~zimmerma/records/ecmnet.html
Elliptic curve factoring software. |
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Magma Computational Algebra System Home Page - http://magma.maths.usyd.edu.au/
A large, well-supported software package for computationally hard problems in algebra, number theory, geometry and combinatorics. |
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http://modular.fas.harvard.edu/SAGE/ - http://modular.fas.harvard.edu/SAGE/
System for Arithmetic Geometry Experimentation: a framework for number theory, algebra, and geometry, initially designed for computing with elliptic curves and modular forms, by William Stein. Open source under GPL. |
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CLN - Class Library for Numbers - http://www.ginac.de/CLN/
C++ library by Bruno Haible. |