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SAGE is free and open software that supports research and teaching in algebra, geometry, number theory, cryptography, etc.

SAGE is a framework for number theory, algebra, and geometry computation that is initially being designed for computing with elliptic curves and modular forms. The long-term goal is to make it much more generally useful for algebra, geometry, and number theory. SAGE provides a (Python) interpreter interface to several important C/C++ libraries:

  • MPFR -- real number arithmetic,
  • NTL -- Victor Shoup's number theory library,
  • GMP -- arbitrary precision integer and floating point arithmetic package.
  • These systems come with SAGE, and there is an interface to each:
  • GAP -- group theory and combinatorics
  • PARI -- algebraic number theory
  • Singular -- polynomial computations and algebraic geometry
  • Maxima -- symbolic algebra


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LicenseVerified byVerified onNotes
GPLv2Ted Teah25 January 2006

Leaders and contributors

William Stein Maintainer

Resources and communication

Audience Resource type URI
Developer Homepage
Bug Tracking,Support Homepage
Help Forum
Help Mailing List Info/Archive

Software prerequisites

Kind Description
Weak prerequisite octave
Required to build ranlib
Required to build gcc (with C++ support)
Required to build tar
Required to build flex (or lexx)
Required to build bison (or yacc)
Required to build make
Weak prerequisite latex
Required to build m4
Weak prerequisite gnuplot
Required to build perl

This entry (in part or in whole) was last reviewed on 28 January 2017.


Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.3 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the page “GNU Free Documentation License”.

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