Fnormal

Fnormal is a free and open-source algebraic geometry software used for computations in algebra, geometry, and cryptography. It is primarily used for symbolic computations, linear algebra, and number theory. Developed in Common Lisp, Fnormal is part of the Computer Algebra System (CAS) category.

The primary function of Fnormal is to perform various operations on polynomials, such as factorization, commutative algebra, and manipulations of categories of modules over commutative rings. It is capable of handling a wide range of data types, including integers, rational numbers, polynomials, and matrices.

Fnormal's capabilities also extend to linear algebra, including Gaussian elimination and row reduction, LU and Cholesky decomposition, and eigenvalue and eigenvector computations. Additionally, it supports elliptic curves and modular forms, making it a valuable tool in number theory.

Fnormal is available for several platforms, including Windows, macOS, and Linux. It can be installed via the Common Lisp package manager, Quicklisp, or compiled from source. Fnormal relies on external libraries, such as Quickmath and MIT/GNU Scheme, for certain operations.

Fnormal has been cited in various academic publications and has been used in research in cryptography, algebraic geometry, and related fields. Its open-source nature and active community contribute to its ongoing development and expansion of capabilities.

As a free and open-source alternative to commercial CAS software, Fnormal offers a flexible and powerful tool for computations in various mathematical domains.