#18479: DirichletCharacter.minimize_base_ring() raises an error for some base 
rings
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   Reporter:  pbruin         |            Owner:
       Type:  defect         |           Status:  new
   Priority:  minor          |        Milestone:  sage-6.8
  Component:  modular forms  |         Keywords:  Dirichlet character
  Merged in:                 |          Authors:
  Reviewers:                 |  Report Upstream:  N/A
Work issues:                 |           Branch:
     Commit:                 |     Dependencies:
   Stopgaps:                 |
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 The following bug was found in comment:13:ticket:18086:
 {{{
 sage: f = Newforms(Gamma1(25), names='a')[1]
 sage: eps = f.character()
 sage: eps.base_ring()
 Number Field in a1 with defining polynomial x^8 + 5*x^7 + 11*x^6 + 10*x^5
 + x^4 + 10*x^3 + 26*x^2 - 10*x + 1
 sage: eps.minimize_base_ring()
 Traceback (most recent call last):
 ...
 TypeError: No compatible natural embeddings found for Complex Lazy Field
 and Number Field in a1 with defining polynomial x^8 + 5*x^7 + 11*x^6 +
 10*x^5 + x^4 + 10*x^3 + 26*x^2 - 10*x + 1
 }}}
 This also causes
 {{{
 sage: ModularForms(eps, 2)
 Traceback (most recent call last):
 ...
 TypeError: No compatible natural embeddings found for Complex Lazy Field
 and Number Field in a1 with defining polynomial x^8 + 5*x^7 + 11*x^6 +
 10*x^5 + x^4 + 10*x^3 + 26*x^2 - 10*x + 1
 }}}
 This error is similar to #18436.

--
Ticket URL: <http://trac.sagemath.org/ticket/18479>
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