#4780: relative number field constructor -- error message when given poly of
degree < 1 is bad
---------------------------+------------------------------------------------
 Reporter:  was            |       Owner:  was       
     Type:  defect         |      Status:  new       
 Priority:  major          |   Milestone:  sage-3.2.2
Component:  number theory  |    Keywords:            
---------------------------+------------------------------------------------
 {{{
 sage: K.<a> = NumberField(x^2 + 1)
 sage: L.<b> = NumberField(K['y'](1))
 ---------------------------------------------------------------------------
 PariError                                 Traceback (most recent call
 last)

 /Users/wstein/sage/build/sage-3.2.2.alpha0/<ipython console> in <module>()

 /Users/wstein/sage/build/sage-3.2.2.alpha0/local/lib/python2.5/site-
 packages/sage/rings/number_field/number_field.pyc in
 NumberField(polynomial, name, check, names, cache, embedding)
     374
     375     if isinstance(R, NumberField_generic):
 --> 376         S = R.extension(polynomial, name, check=check)
     377         if cache:
     378             _nf_cache[key] = weakref.ref(S)

 /Users/wstein/sage/build/sage-3.2.2.alpha0/local/lib/python2.5/site-
 packages/sage/rings/number_field/number_field.pyc in extension(self, poly,
 name, names, check, embedding)
    2570         if name is None:
    2571             raise TypeError, "the variable name must be
 specified."
 -> 2572         return NumberField_relative(self, poly, str(name),
 check=check, embedding=embedding)
    2573
    2574     def factor(self, n):

 /Users/wstein/sage/build/sage-3.2.2.alpha0/local/lib/python2.5/site-
 packages/sage/rings/number_field/number_field.pyc in __init__(self, base,
 polynomial, name, latex_name, names, check, embedding)
    4567
    4568         self.__pari_relative_polynomial = pari(str(polynomial_y))
 -> 4569         self.__rnf =
 self.__base_nf.rnfinit(self.__pari_relative_polynomial)
    4570
    4571         self.__base_field = base

 /Users/wstein/sage/build/sage-3.2.2.alpha0/local/lib/python2.5/site-
 packages/sage/libs/pari/gen.so in sage.libs.pari.gen._pari_trap
 (sage/libs/pari/gen.c:38578)()

 PariError: not a polynomial (38)
 >
 
/Users/wstein/sage/build/sage-3.2.2.alpha0/gen.pyx(8050)sage.libs.pari.gen._pari_trap
 (sage/libs/pari/gen.c:38578)()

 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4780>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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