#14164: Error in NumberField.composite_fields()
-----------------------------+----------------------------------------------
   Reporter:  mmarco         |             Owner:  davidloeffler
       Type:  defect         |            Status:  new          
   Priority:  major          |         Milestone:  sage-5.8     
  Component:  number fields  |          Keywords:  number field 
Work issues:                 |   Report Upstream:  N/A          
  Reviewers:                 |           Authors:               
  Merged in:                 |      Dependencies:               
   Stopgaps:                 |  
-----------------------------+----------------------------------------------
 composite fields fails for certain values:

 {{{
 sage: R.<x>=QQ[]
 sage: f=6*x^5+x^4+x^2+5*x+7
 sage: r=f.roots(QQbar,multiplicities=False)
 sage: F1=NumberField(f.monic(),'a',embedding=r[0])
 sage: F2=NumberField(f.monic(),'a',embedding=r[1])
 sage: F1.composite_fields(F2,both_maps=True)
 ---------------------------------------------------------------------------
 PariError                                 Traceback (most recent call
 last)

 /home/mmarco/sage-5.7/<ipython console> in <module>()

 /usr/lib64/python2.7/site-
 packages/sage/rings/number_field/number_field.pyc in
 composite_fields(self, other, names, both_maps, preserve_embedding)
    3788                 if subfields_have_embeddings:
    3789                     embedding = other.coerce_embedding()(b) +
 k*self.coerce_embedding()(a)
 -> 3790                 F = NumberField(r, names[i], check=False,
 embedding=embedding)
    3791                 i += 1
    3792                 if both_maps:

 /usr/lib64/python2.7/site-
 packages/sage/rings/number_field/number_field.pyc in
 NumberField(polynomial, name, check, names, cache, embedding, latex_name,
 assume_disc_small, maximize_at_primes)
     459     else:
     460         K = NumberField_absolute(polynomial, name, latex_name,
 check, embedding,
 --> 461              assume_disc_small=assume_disc_small,
 maximize_at_primes=maximize_at_primes)
     462
     463     if cache:

 /usr/lib64/python2.7/site-
 packages/sage/rings/number_field/number_field.pyc in __init__(self,
 polynomial, name, latex_name, check, embedding, assume_disc_small,
 maximize_at_primes)
    5449         """
    5450         NumberField_generic.__init__(self, polynomial, name,
 latex_name, check, embedding,
 -> 5451
 assume_disc_small=assume_disc_small,
 maximize_at_primes=maximize_at_primes)
    5452         self._element_class =
 number_field_element.NumberFieldElement_absolute
    5453         self._zero_element = self(0)

 /usr/lib64/python2.7/site-
 packages/sage/rings/number_field/number_field.pyc in __init__(self,
 polynomial, name, latex_name, check, embedding, category,
 assume_disc_small, maximize_at_primes)
    1022         self.__pari_bnf_certified = False
    1023         self._integral_basis_dict = {}
 -> 1024         embedding =
 number_field_morphisms.create_embedding_from_approx(self, embedding)
    1025         self._populate_coercion_lists_(embedding=embedding)
    1026

 /usr/lib64/python2.7/site-
 packages/sage/rings/number_field/number_field_morphisms.so in
 sage.rings.number_field.number_field_morphisms.create_embedding_from_approx
 (sage/rings/number_field/number_field_morphisms.c:5021)()

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in __ne__(self,
 other)
    3803             True
    3804         """
 -> 3805         return not self.__eq__(other)
    3806
    3807     def __nonzero__(self):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in __eq__(self,
 other)
    3778             try:
    3779                 self, other = canonical_coercion(self, other)
 -> 3780                 return self == other
    3781             except TypeError:
    3782                 return False

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in __eq__(self,
 other)
    3783         if self is other: return True
    3784         if other._descr.is_rational() and
 other._descr.rational_value() == 0:
 -> 3785             return not self.__nonzero__()
    3786         if self._descr.is_rational() and
 self._descr.rational_value() == 0:
    3787             return not other.__nonzero__()

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in
 __nonzero__(self)
    3829         if self._value.prec() < 128:
    3830             self._more_precision()
 -> 3831             return self.__nonzero__()
    3832
    3833         # Sigh...

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in
 __nonzero__(self)
    3832
    3833         # Sigh...
 -> 3834         self.exactify()
    3835         return self.__nonzero__()
    3836

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7589             left = self._left
    7590             right = self._right
 -> 7591             left.exactify()
    7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7590             right = self._right
    7591             left.exactify()
 -> 7592             right.exactify()
    7593             gen = left._exact_field().union(right._exact_field())
    7594             left_value = gen(left._exact_value())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    3464         od = self._descr
    3465         if od.is_exact(): return
 -> 3466         self._set_descr(self._descr.exactify())
    3467
    3468     def _set_descr(self, new_descr):

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in exactify(self)
    7591             left.exactify()
    7592             right.exactify()
 -> 7593             gen = left._exact_field().union(right._exact_field())
    7594             left_value = gen(left._exact_value())
    7595             right_value = gen(right._exact_value())

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in union(self,
 other)
    2280         newpol_sage_y = QQy(newpol_sage)
    2281
 -> 2282         red_elt, red_back, red_pol = do_polred(newpol_sage_y)
    2283
    2284         red_back_x = QQx(red_back)

 /usr/lib64/python2.7/site-packages/sage/rings/qqbar.pyc in do_polred(poly)
    1561     assert(best is not None)
    1562     parent = poly.parent()
 -> 1563     rev = parent(best_elt.Mod(pari_poly).modreverse().lift())
    1564     return parent(best_elt), rev, parent(best)
    1565

 /usr/lib64/python2.7/site-packages/sage/libs/pari/gen.so in
 sage.libs.pari.gen._pari_trap (sage/libs/pari/gen.c:55006)()

 PariError:  (5)
 }}}

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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14164>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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