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Elliptic Curves and Modular Forms@Pari-GPPrimality Proving@UBASIC

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URL: http://www.shoup.net/ntl/
ODP description: 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.

URL: http://www.ginac.de/CLN/
ODP description: C++ library by Bruno Haible.

URL: http://tnt.math.metro-u.ac.jp/nzmath/
ODP description: Python based number theory oriented calculation system, developed at Tokyo Metropolitan University. Downloads, mailing list.

URL: http://www.apfloat.org/
ODP description: High-performance arbitrary precision arithmetic package for C++ and Java.
Page title: Apfloat Home Page

URL: http://www.numbertheory.org/gnubc/gnubc.html
ODP description: Supports arbitrary precision integer arithmetic calculations with interactive execution: it is a superior version of the basic bc program which comes with the UNIX operating system. Keith Matthews has written several number-theoretic programs.
Page title: BC NUMBER THEORY PROGRAMS

URL: http://tnt.math.metro-u.ac.jp/simath/
ODP description: Computer algebra system for number theoretic applications.
Page title: SIMATH homepage

URL: http://magma.maths.usyd.edu.au/
ODP description: A large, well-supported software package for computationally hard problems in algebra, number theory, geometry and combinatorics.
Page description: The Magma Computational Algebra system for algebra, number theory and geometry.

URL: http://crd.lbl.gov/~dhbailey/mpdist/mpdist.html
ODP description: Fortran multiprecision software by David H. Bailey of Lawrence Berkeley Lab.
Page title: High-Precision Software Directory

URL: http://www.math.tu-berlin.de/~kant/kash.html
ODP description: KANT is a software package for sophisticated computations in number fields and in global function fields. With KASH you are able to use the powerful KANT V4 functions within a shell.
Page title: Kash

URL: http://www.mathematik.uni-muenchen.de/~forster/sw/aribas.html
ODP description: An interactive interpreter for big integer and multi-precision floating point arithmetic with a Pascal/Modula like syntax. It has several builtin functions for algorithmic number theory.
Page title: ARIBAS by O. Forster

URL: http://www.imach.uran.ru/cbignum/
ODP description: Portable C++ class for integers with unlimited range, designed to be fast, functional and simple in use.
Page title: C++ class for integers of unlimited length
Page description: C++ class for integers of unlimited range

URL: http://www.hermetic.ch/factors/factors.htm
ODP description: A Windows program to find all factors of any positive integer less than 2^31 - 1; decompose numbers into their prime constituents; find prime numbersand pairs of primes; and to plot Erdos-Kac and Palmen Color histograms. Down load free demo, order full version online.
Page title: Factorizer: A Factorization and Prime Number Program
Page description: A Windows program to find all factors of any positive integer less than 2^31 - 2, to decompose numbers into their prime constituents, to find prime numbers and pairs of primes, and to plot Erdos-Kac and Palmen Color histograms.

URL: http://www.math.uu.nl/people/vdkallen/lllimplementations.html
ODP description: By Wilberd van der Kallen.
Page title: Implementations of extended LLL

URL: http://www.ics.uci.edu/~eppstein/numth/
ODP description: Algorithms implemented by David Eppstein.
Page title: Number theory files for David Eppstein

URL: http://pmmac03.math.uwaterloo.ca/~mrubinst/L_function_public/L.html
ODP description: A C++ class library, datasets and command line program for computing zeros and values of L-functions, by Michael Rubinstein.
Page description: The L function software and zeros/values database homepage

URL: http://archives.math.utk.edu/software/mac/numberTheory/.directory.html
ODP description: Mac/Number Theory section.
Page title: Number Theory

URL: http://www.geocities.com/Hollywood/2979/ntheory.html
ODP description: Download site for number theory programs adapted from UBASIC/MALM for the TI-92.
Page title: Paul's TI-92 Number Theory Archive -- v1.0

URL: http://library.wolfram.com/infocenter/MathSource/556/
ODP description: A Mathematica package by Stany De Smedt.
Page title: p-adic Arithmetic -- from Mathematica Information Center
Page description: This package is meant to do p-adic calculations. It allows addition, subtraction, multiplication and division of p-adic numbers written in Hensel expansion. Also functions as log, exp, sin, cos, sinh and cosh are defined using their power series expansion. At the end, we included a part to calculate the coefficients of a continuous function with regard to the Mahler and Vanderput base.

URL: http://www.spd.dcu.ie/johnbcos/Maple.htm
ODP description: A selection of Maple (V.5) worksheets for teaching purposes.
Page title: Maple

URL: http://sourceforge.net/projects/eisseeker
ODP description: EIS-Seeker is a libguile-based scheme interpreter devoted to the study of the Encyclopedia of Integer Sequences database. It is intended to help find new relations between sequences. C/Scheme, Posix.
Page title: SourceForge.net: Encyclopedia of Integer Sequences Seeker
Page description: The world's largest development and download repository of Open Source code and applications

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