#8721: Residue fields for relative number fields broken (again)
-----------------------------+----------------------------------------------
Reporter: davidloeffler | Owner: davidloeffler
Type: defect | Status: new
Priority: major | Milestone: sage-5.0
Component: number fields | Keywords:
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
-----------------------------+----------------------------------------------
{{{
sage: L.<a, b> = NumberField([x^2 - 3, x^2 - 5])
sage: L.ideal(a).residue_field()
ERROR: An unexpected error occurred while tokenizing input
The following traceback may be corrupted or invalid
The error message is: ('EOF in multi-line statement', (921, 0))
---------------------------------------------------------------------------
ValueError Traceback (most recent call
last)
/home/masiao/<ipython console> in <module>()
/storage/masiao/sage-4.4.alpha0/local/lib/python2.6/site-
packages/sage/rings/number_field/number_field_ideal.pyc in
residue_field(self, names)
2372 if not self.is_prime():
2373 raise ValueError, "The ideal must be prime"
-> 2374 return self.number_field().residue_field(self, names =
names)
2375
2376 def residue_class_degree(self):
/storage/masiao/sage-4.4.alpha0/local/lib/python2.6/site-
packages/sage/rings/number_field/number_field.pyc in residue_field(self,
prime, names, check)
4171 raise ValueError, "%s is not a prime ideal"%prime
4172 from sage.rings.residue_field import ResidueField
-> 4173 return ResidueField(prime, names = names, check = False)
4174
4175 def signature(self):
/storage/masiao/sage-4.4.alpha0/local/lib/python2.6/site-
packages/sage/rings/residue_field.so in
sage.rings.residue_field.ResidueField (sage/rings/residue_field.c:4132)()
/storage/masiao/sage-4.4.alpha0/local/lib/python2.6/site-
packages/sage/rings/number_field/number_field_ideal.pyc in __call__(self,
x)
2476 # Write back in terms of K
2477 z = w * self.__M_OK_map
-> 2478 return self.__OK(z.list())
2479
2480 def __repr__(self):
/storage/masiao/sage-4.4.alpha0/local/lib/python2.6/site-
packages/sage/rings/number_field/order.pyc in __call__(self, x)
1399 """
1400
-> 1401 x = self._K(x)
1402 abs_order = self._absolute_order
1403 to_abs = abs_order._K.structure()[1]
/storage/masiao/sage-4.4.alpha0/local/lib/python2.6/site-
packages/sage/structure/parent.so in sage.structure.parent.Parent.__call__
(sage/structure/parent.c:6161)()
/storage/masiao/sage-4.4.alpha0/local/lib/python2.6/site-
packages/sage/structure/coerce_maps.so in
sage.structure.coerce_maps.DefaultConvertMap_unique._call_
(sage/structure/coerce_maps.c:3109)()
/storage/masiao/sage-4.4.alpha0/local/lib/python2.6/site-
packages/sage/structure/coerce_maps.so in
sage.structure.coerce_maps.DefaultConvertMap_unique._call_
(sage/structure/coerce_maps.c:3011)()
/storage/masiao/sage-4.4.alpha0/local/lib/python2.6/site-
packages/sage/rings/number_field/number_field.pyc in
_element_constructor_(self, x)
1019
self.base_ring().has_coerce_map_from(x.parent().base_ring())):
1020 if len(x) != self.relative_degree():
-> 1021 raise ValueError, "Length must be equal to the
degree of this number field"
1022 result = x[0]
1023 for i in xrange(1,self.relative_degree()):
ValueError: Length must be equal to the degree of this number field
}}}
We've had problems with similar issues before -- see #6463 -- and the
doctest I added back then shows that not all relative residue fields are
broken; but this one seems to be!
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8721>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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