#20749: Use PARI nfeltup() for inclusion of base field into relative number 
field
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   Reporter:  pbruin         |            Owner:
       Type:  enhancement    |           Status:  new
   Priority:  major          |        Milestone:  sage-7.3
  Component:  number fields  |         Keywords:  pari
  Merged in:                 |          Authors:  Peter Bruin
  Reviewers:                 |  Report Upstream:  N/A
Work issues:                 |           Branch:
     Commit:                 |     Dependencies:
   Stopgaps:                 |
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 As noticed in #20693, construction of elements of a relative number field
 from elements of the base field is extremely slow.  This is because
 `NumberField_relative.__base_inclusion()` uses the PARI function
 `eltreltoabs`, which converts arbitrary relative number field elements
 into absolute representation; instead, it should use the much faster
 `nfeltup`.

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Ticket URL: <http://trac.sagemath.org/ticket/20749>
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