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The Hecke eigenvalue field for classical newforms can often be embedded into $\C$ in multiple ways. The Hecke eigenvalues are computed numerically to high precision for each of these embeddings.

In the LMFDB, embeddings of $a_p$ for small $p$ are stored as floating point complex numbers to 53-bit precision. This data is made available on the website, to the precision the user requests up to a bound of several decimal places.

Users requiring more data can use the download links to get all the digits that are available.

When displaying floating point values, the round-to-nearest method is used, with half rounded to even as a tie breaker.

Knowl status:
  • Review status: reviewed
  • Last edited by David Roe on 2019-02-27 10:41:34
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