#12005: Relativize should take one 'name' if a morphism is given
-----------------------------+----------------------------------------------
   Reporter:  jdemeyer       |          Owner:  davidloeffler
       Type:  defect         |         Status:  new          
   Priority:  major          |      Milestone:  sage-4.8     
  Component:  number fields  |       Keywords:               
Work_issues:                 |       Upstream:  N/A          
   Reviewer:                 |         Author:               
     Merged:                 |   Dependencies:               
-----------------------------+----------------------------------------------
 {{{
 sage: R.<x> = PolynomialRing(QQ)
 sage: K.<i> = NumberField(x^2 + 1)
 sage: L.<b> = NumberField(x^4 - x^2 + 1)
 sage: phi = K.hom(b^3, L)
 sage: M.<r,s> = L.relativize(phi)
 sage: M
 Number Field in r with defining polynomial x^2 - i*x - 1 over its base
 field
 sage: M.base_field()
 Number Field in i with defining polynomial x^2 + 1
 sage: M.<r> = L.relativize(phi)
 ---------------------------------------------------------------------------
 IndexError                                Traceback (most recent call
 last)

 /usr/local/src/sage-4.7.2.alpha2/<ipython console> in <module>()

 /usr/local/src/sage-4.7.2.alpha2/local/lib/python2.6/site-
 packages/sage/rings/number_field/number_field.pyc in relativize(self,
 alpha, names)
    6464         from sage.all import vector, matrix
    6465
 -> 6466         names = sage.structure.parent_gens.normalize_names(2,
 names)
    6467
    6468         from sage.categories.map import is_Map

 /usr/local/src/sage-4.7.2.alpha2/local/lib/python2.6/site-
 packages/sage/structure/parent_gens.so in
 sage.structure.parent_gens.normalize_names
 (sage/structure/parent_gens.c:2311)()

 IndexError: the number of names must equal the number of generators
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12005>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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