#20791: NumberField.extension() creates non-unique parents
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   Reporter:  pbruin         |            Owner:
       Type:  defect         |           Status:  new
   Priority:  major          |        Milestone:  sage-7.3
  Component:  number fields  |         Keywords:
  Merged in:                 |          Authors:  Peter Bruin
  Reviewers:                 |  Report Upstream:  N/A
Work issues:                 |           Branch:
     Commit:                 |     Dependencies:
   Stopgaps:                 |
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 The following should return `True`:
 {{{
 sage: K.<a> = NumberField(x^2 + 1)
 sage: K.extension(x^2 - 2, 'b') is K.extension(x^2 - 2, 'b')
 False
 }}}
 This happens because `NumberField.extension()` does not use the
 `NumberField` factory.

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Ticket URL: <http://trac.sagemath.org/ticket/20791>
Sage <http://www.sagemath.org>
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