pari-galpol
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Description:
Galois polynomial database for PARI/GP
Type: Formula  |  Latest Version: 20180625@0  |  Tracked Since: Nov 24, 2025
Links: Homepage  |  formulae.brew.sh
Category: Other
Tags: mathematics number-theory pari-gp algebra database
Install: brew install pari-galpol
About:
The pari-galpol package provides PARI/GP with a comprehensive database of Galois polynomials. This data enables the system to recognize and work with number fields based on their Galois group structure. It significantly accelerates computations involving field automorphisms and group theory by providing pre-computed results.
Key Features:
  • Extensive database of Galois transitive polynomials
  • Seamless integration with PARI/GP's number field functions
  • Enables efficient group-theoretic computations on number fields
  • Provides data for Galois group identification and resolvents
Use Cases:
  • Research in algebraic number theory and field extensions
  • Computing Galois groups of polynomials over Q
  • Generating field extensions with specific automorphism groups
Alternatives:
  • pari-seadata – Companion package providing modular polynomial data for elliptic curves, whereas pari-galpol focuses on number field Galois groups.
Version History
Detected Version Rev Change Commit
Nov 24, 2025 4:54pm 20180625 0 VERSION_BUMP 15992921