#2551: [fixed by #5508] `__getitem__` for relative number field elements is ...
now fixed
---------------------------+------------------------------------------------
 Reporter:  craigcitro     |       Owner:  was       
     Type:  defect         |      Status:  new       
 Priority:  minor          |   Milestone:  sage-3.4.1
Component:  number theory  |    Keywords:            
---------------------------+------------------------------------------------

Comment(by fwclarke):

 Replying to [comment:2 mabshoff]:
 > To close this we would need a doctest.

 See lines 2421 to 2445 of sage/rings/number_field/number_field_element.pyx
 as patched by #5508:
 {{{
         EXAMPLES::

             sage: K.<a, b> = NumberField([x^3 - 5, x^2 + 3])
             sage: c = (a + b)^3; c
             3*b*a^2 - 9*a - 3*b + 5
             sage: c[0]
             -3*b + 5

         We illustrate bounds checking::

             sage: c[-1]
             Traceback (most recent call last):
             ...
             IndexError: index must be between 0 and the relative degree
 minus 1.
             sage: c[4]
             Traceback (most recent call last):
             ...
             IndexError: index must be between 0 and the relative degree
 minus 1.

         The list method implicitly calls ``__getitem__``::

             sage: list(c)
             [-3*b + 5, -9, 3*b]
             sage: K(list(c)) == c
             True
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/2551#comment:4>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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