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    • Release Manager's avatar
      Trac #20793: Coefficients of a modular form don't coerce into the Hecke eigenfield · b58ef950
      Release Manager authored
      Reported by Kiran Kedlaya on [https://groups.google.com/forum/#!topic
      /sage-nt/lDu23r0bAYk sage-nt]:
      {{{
      sage: N = Newforms(83,2, names="a")
      sage: f = N[1]
      sage: K = f.hecke_eigenvalue_field()
      sage: print K
      Number Field in a1 with defining polynomial x^6 - x^5 - 9*x^4 + 7*x^3 +
      20*x^2 - 12*x - 8
      sage: l = f.coefficients(20)
      sage: print l[-1].parent()
      Number Field in alpha with defining polynomial x^6 - x^5 - 9*x^4 + 7*x^3
      + 20*x^2 - 12*x - 8
      sage: K(l[-1])
      Traceback (most recent call last):
      ...
      TypeError: No compatible natural embeddings found for Number Field in a1
      with defining polynomial x^6 - x^5 - 9*x^4 + 7*x^3 + 20*x^2 - 12*x - 8
      and Number Field in alpha with defining polynomial x^6 - x^5 - 9*x^4 +
      7*x^3 + 20*x^2 - 12*x - 8
      }}}
      This can be fixed by returning the coefficients as number field elements
      in the variable name of the Hecke eigenvalue field instead of `alpha`.
      
      URL: http://trac.sagemath.org/20793
      Reported by: pbruin
      Ticket author(s): Peter Bruin
      Reviewer(s): Julian Rüth, Kiran Kedlaya
      b58ef950
    • Frédéric Chapoton's avatar
      aec30a67