#7929: Pickling fails for some residue fields
-----------------------------+----------------------------------------------
   Reporter:  nthiery        |       Owner:  davidloeffler
       Type:  defect         |      Status:  new          
   Priority:  major          |   Milestone:               
  Component:  number fields  |    Keywords:               
Work_issues:                 |      Author:               
   Upstream:  N/A            |    Reviewer:               
     Merged:                 |  
-----------------------------+----------------------------------------------
Description changed by nthiery:

Old description:

> Catched with #7921:
>
> {{{
> sage: K.<a> = NumberField(x^3-17)
> sage: P = K.ideal(29).factor()[0][0]
> sage: k = K.residue_field(P) # indirect doctest
> sage: F = ZZ.residue_field(17)  # indirect doctest
> sage: loads(dumps(k))
> ------------------------------------------------------------
> Traceback (most recent call last):
>   File "<ipython console>", line 1, in <module>
>   File "sage_object.pyx", line 740, in sage.structure.sage_object.dumps
> (sage/structure/sage_object.c:8021)
>   File "ring.pyx", line 2424, in sage.rings.ring.FiniteField.__reduce__
> (sage/rings/ring.c:12853)
> TypeError: 'NoneType' object is unsubscriptable
>
> sage: loads(dumps(k.an_element()))
> ------------------------------------------------------------
> Traceback (most recent call last):
>   File "<ipython console>", line 1, in <module>
>   File "sage_object.pyx", line 740, in sage.structure.sage_object.dumps
> (sage/structure/sage_object.c:8021)
>   File "ring.pyx", line 2424, in sage.rings.ring.FiniteField.__reduce__
> (sage/rings/ring.c:12853)
> TypeError: 'NoneType' object is unsubscriptable
>
> sage: loads(dumps(F))
> ------------------------------------------------------------
> Traceback (most recent call last):
>   File "<ipython console>", line 1, in <module>
>   File "sage_object.pyx", line 740, in sage.structure.sage_object.dumps
> (sage/structure/sage_object.c:8021)
>   File "ring.pyx", line 2424, in sage.rings.ring.FiniteField.__reduce__
> (sage/rings/ring.c:12853)
> TypeError: 'NoneType' object is unsubscriptable
>
> sage: loads(dumps(F.an_element()))
> ------------------------------------------------------------
> Traceback (most recent call last):
>   File "<ipython console>", line 1, in <module>
>   File "sage_object.pyx", line 740, in sage.structure.sage_object.dumps
> (sage/structure/sage_object.c:8021)
>   File "ring.pyx", line 2424, in sage.rings.ring.FiniteField.__reduce__
> (sage/rings/ring.c:12853)
> TypeError: 'NoneType' object is unsubscriptable
> }}}

New description:

 Caught with #7921; please write patch on top of it to avoid conflicts.

 {{{
 sage: K.<a> = NumberField(x^3-17)
 sage: P = K.ideal(29).factor()[0][0]
 sage: k = K.residue_field(P) # indirect doctest
 sage: F = ZZ.residue_field(17)  # indirect doctest
 sage: loads(dumps(k))
 ------------------------------------------------------------
 Traceback (most recent call last):
   File "<ipython console>", line 1, in <module>
   File "sage_object.pyx", line 740, in sage.structure.sage_object.dumps
 (sage/structure/sage_object.c:8021)
   File "ring.pyx", line 2424, in sage.rings.ring.FiniteField.__reduce__
 (sage/rings/ring.c:12853)
 TypeError: 'NoneType' object is unsubscriptable

 sage: loads(dumps(k.an_element()))
 ------------------------------------------------------------
 Traceback (most recent call last):
   File "<ipython console>", line 1, in <module>
   File "sage_object.pyx", line 740, in sage.structure.sage_object.dumps
 (sage/structure/sage_object.c:8021)
   File "ring.pyx", line 2424, in sage.rings.ring.FiniteField.__reduce__
 (sage/rings/ring.c:12853)
 TypeError: 'NoneType' object is unsubscriptable

 sage: loads(dumps(F))
 ------------------------------------------------------------
 Traceback (most recent call last):
   File "<ipython console>", line 1, in <module>
   File "sage_object.pyx", line 740, in sage.structure.sage_object.dumps
 (sage/structure/sage_object.c:8021)
   File "ring.pyx", line 2424, in sage.rings.ring.FiniteField.__reduce__
 (sage/rings/ring.c:12853)
 TypeError: 'NoneType' object is unsubscriptable

 sage: loads(dumps(F.an_element()))
 ------------------------------------------------------------
 Traceback (most recent call last):
   File "<ipython console>", line 1, in <module>
   File "sage_object.pyx", line 740, in sage.structure.sage_object.dumps
 (sage/structure/sage_object.c:8021)
   File "ring.pyx", line 2424, in sage.rings.ring.FiniteField.__reduce__
 (sage/rings/ring.c:12853)
 TypeError: 'NoneType' object is unsubscriptable
 }}}

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7929#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB
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