Hi Christian,
Your patch trac_8327_universal_cyclotomic_field-cs.patch seems to break the
k-Schur function code.
With your patch, one obtains
sage: ks3 = kSchurFunctions(QQ,3,1)
sage: h = SFAHomogeneous(QQ)
sage: h(ks3([3,3,1]))
0
whereas without
sage: ks3 = kSchurFunctions(QQ,3,1)
sage: h = SFAHomogeneous(QQ)
sage: h(ks3([3,3,1]))
h[3, 3, 1]
Also, with the entire queue applied worse things happen:
sage: h = SFAHomogeneous(ks3.base_ring())
sage: h(ks3([3,3,1]))
---------------------------------------------------------------------------
KeyError Traceback (most recent call last)
/Applications/sage-5.0.beta5/<ipython console> in <module>()
/Applications/sage-5.0.beta5/local/lib/python2.7/site-packages/sage/structure/parent.so
in sage.structure.parent.Parent.__call__
(sage/structure/parent.c:7935)()
/Applications/sage-5.0.beta5/local/lib/python2.7/site-packages/sage/categories/map.so
in sage.categories.map.FormalCompositeMap._call_
(sage/categories/map.c:6086)()
/Applications/sage-5.0.beta5/local/lib/python2.7/site-packages/sage/categories/morphism.so
in sage.categories.morphism.SetMorphism._call_
(sage/categories/morphism.c:4018)()
/Applications/sage-5.0.beta5/local/lib/python2.7/site-packages/sage/combinat/sf/kschur.pyc
in _self_to_s(self, x)
287 s[2, 1, 1] + t*s[3, 1]
288 """
--> 289 return self._s._from_cache(x, self._s_cache,
self._self_to_s_cache, t = self.t) # do we want this t = self.t?
290
291 def _coerce_start_disabled(self, x):
/Applications/sage-5.0.beta5/local/lib/python2.7/site-packages/sage/combinat/sf/sfa.pyc
in _from_cache(self, element, cache_function, cache_dict, **subs_dict)
633 if sum(part) not in cache_dict:
634 cache_function(sum(part))
--> 635 for part2, c2 in cache_dict[sum(part)][part].iteritems():
636 c3 = c*c2
637 if hasattr(c3,'subs'): # c3 may be in the base ring
KeyError: [3, 3, 1]
Best,
Anne
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