A database of Galois polynomials

PARI/GP is a cross platform and open-source computer algebra system designed for fast computations in number theory: factorizations, algebraic number theory, elliptic curves, modular forms, L functions... It also contains a wealth of functions to compute with mathematical entities such as matrices, polynomials, power series, algebraic numbers, etc., and a lot of transcendental functions as well as numerical summation and integration routines. PARI is also available as a C library to allow for faster computations.

PARI/GP是一款跨平台开源计算机代数系统（computer algebra system），专为数论领域的高速计算设计，可完成因式分解、代数数论、椭圆曲线、模形式、L函数等相关计算。该系统内置了丰富的函数库，可用于处理矩阵、多项式、幂级数、代数数等各类数学实体，同时支持大量超越函数，以及数值求和与数值积分例程。此外，PARI还可作为C语言库供调用，以实现更快速的计算。

搜集汇总

背景与挑战

背景概述

该数据集是一个Galois多项式数据库，收录了定义有理数域上Galois扩张的多项式，涵盖了阶数不超过143的所有抽象群（包括两种符号）。用户可通过下载发布版本、GIT版本或在线浏览等方式访问该数据库。