{
  "id": "1312.6418",
  "version": "v3",
  "published": "2013-12-22T19:51:19.000Z",
  "updated": "2014-12-17T17:33:22.000Z",
  "title": "Tables of modular Galois representations",
  "authors": [
    "Nicolas Mascot"
  ],
  "comment": "Completed tables. Extra section about polynomial reduction added. Extra section about proof of the polynomials added. Comments welcome",
  "categories": [
    "math.NT"
  ],
  "abstract": "We give tables of modular Galois representations obtained using the algorithm which we described in our previous article. We computed Galois representations modulo primes up to 31 for the first time. In particular, we computed the representations attached to a newform with non-rational (but of course algebraic) coefficients, which had never been done before. These computations take place in the jacobian of modular curves of genus up to 26. We also show how these computation results can be partially proved.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-03-18T14:45:12.000Z",
      "abstract": "We give tables of modular Galois representations obtained using the algorithm which we described in our previous article. We computed Galois representations modulo primes up to 31 for the first time. In particular, we computed the representations attached to a newform with non-rational (but of course algebraic) coefficients, which had never been done before. These computations take place in the jacobian of modular curves of genus up to 26.",
      "comment": "Completed tables. Extra section about polynomial reduction added. Comments welcome",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2014-12-17T17:33:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11Y70",
      "11F11",
      "11Y40",
      "11F80",
      "11S20",
      "20B40",
      "20J06"
    ],
    "keywords": [
      "modular galois representations",
      "galois representations modulo primes",
      "first time",
      "course algebraic",
      "modular curves"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.6418M"
    }
  }
}