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Enumerating Galois Representations in Sage

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Mathematical Software – ICMS 2010 (ICMS 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6327))

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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.

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References

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Author information

Authors and Affiliations

  1. Google, Seattle, WA

    Craig Citro

  2. Department of Mathematics, University of Washington, Box 354350, Seattle, WA, 98195-4350, USA

    Craig Citro

  3. Department of Mathematics and Statistics, University of Melbourne, Parkville, VIC, 3010, Australia

    Alexandru Ghitza

Authors
  1. Craig Citro
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  2. Alexandru Ghitza
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Editor information

Editors and Affiliations

  1. Institute for Operations Research and Institute of Theoretical Computer Science, ETH Zurich, 8092, Zurich, Switzerland

    Komei Fukuda

  2. LIX, CNRS, École polytechnique, 91128, Palaiseau cedex, France

    Joris van der Hoeven

  3. Fachbereich Mathematik, TU Darmstadt, 64289, Darmstadt, Germany

    Michael Joswig

  4. Department of Mathematics, Kobe University, 657-8501, Rokko, Kobe, Japan

    Nobuki Takayama

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Citro, C., Ghitza, A. (2010). Enumerating Galois Representations in Sage. In: Fukuda, K., Hoeven, J.v.d., Joswig, M., Takayama, N. (eds) Mathematical Software – ICMS 2010. ICMS 2010. Lecture Notes in Computer Science, vol 6327. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15582-6_44

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  • DOI: https://doi.org/10.1007/978-3-642-15582-6_44

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15581-9

  • Online ISBN: 978-3-642-15582-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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