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Enumerating Galois Representations in Sage

  • Craig Citro
  • Alexandru Ghitza
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6327)

Abstract

We present an algorithm for enumerating all odd semisimple two-dimensional mod p Galois representations unramified outside p. We also discuss the implementation of this algorithm in Sage and give a summary of the results we obtained.

Keywords

Galois representations Sage modular forms 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Craig Citro
    • 1
    • 2
  • Alexandru Ghitza
    • 3
  1. 1.GoogleSeattle
  2. 2.Department of MathematicsUniversity of WashingtonSeattleUSA
  3. 3.Department of Mathematics and StatisticsUniversity of MelbourneParkvilleAustralia

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