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The database contains basic information (basic properties, Galois orbit, field of values) for all Dirichlet characters of modulus less than $10^{20}$, with more detailed information available for those of modulus less than $10^5$.

Browse Dirichlet characters

  By modulus:   1—20   21—40   41—60   61—80   81—100

  By conductor:   1—20   21—40   41—60   61—80   81—100

  By order:   1—20   21—40   41—60   61—80   81—100

  A random Dirichlet character from the database

Find a specific Dirichlet character or Dirichlet character group by label or modulus

e.g. 13.2 for the Dirichlet character \(\displaystyle\chi_{13}(2,·)\), or 13 for the group of characters modulo 13.

Search for characters

Enter criteria into one or more boxes to restrict the search.

modulus e.g. 13
conductor e.g. 5
order e.g. 2