Context: I am playing around with implementing abstract algebraic groups
which are recovered from based root data.
So, one should eventually be able to say
b = BasedRootDatum( suitable input )
g = AbstractAlgebraicGroup( b )
Running into an issue which seems to be triggered by the passing of a BRD
object to the AAG constructor.
Full error message below. Having stripped away everything that does not
seem to have a role in producing the error,
I get the error with just the following:
based_root_datum.py reads:
*from sage.structure.sage_object import SageObject*
*class BasedRootDatum(SageObject):*
* def __init__(self):*
* one = 1 # placeholder*
* def __repr__(self):*
* return "Based root datum"*
while abstract_algebraic_group.py reads
*from sage.structure.parent import Parent*
*from sage.structure.unique_representation import UniqueRepresentation*
*class AbstractAlgebraicGroup(Parent, UniqueRepresentation):*
* def __init__(self, BRD, base_ring, system):*
* two = 2 #placeholder*
* def __repr__(self):*
* return "Abstract Algebraic Group"*
Here's the full error message.
---------------------------------------------------------------------------
TypeError Traceback (most recent call last)
<ipython-input-2-59aff55a6b05> in <module>()
----> 1 g=AbstractAlgebraicGroup(b)
/Users/jahundle/sage/src/sage/misc/lazy_import.pyx in
sage.misc.lazy_import.LazyImport.__call__
(/Users/jahundle/sage/src/build/cythonized/sage/misc/lazy_import.c:3636)()
* 384* True
* 385* """
--> 386 return self._get_object()(*args, **kwds)
* 387*
* 388* def __repr__(self):
/Users/jahundle/sage/src/sage/misc/classcall_metaclass.pyx in
sage.misc.classcall_metaclass.ClasscallMetaclass.__call__
(/Users/jahundle/sage/src/build/cythonized/sage/misc/classcall_metaclass.c:1251)
()
* 328* """
* 329* if cls.classcall is not None:
--> 330 return cls.classcall(cls, *args, **kwds)
* 331* else:
* 332* # Fast version of type.__call__(cls, *args, **kwds)
/Users/jahundle/sage/src/sage/misc/cachefunc.pyx in
sage.misc.cachefunc.CachedFunction.__call__
(/Users/jahundle/sage/src/build/cythonized/sage/misc/cachefunc.c:5545)()
* 1054* return self.cache[k]
* 1055* except TypeError: # k is not hashable
-> 1056 k = dict_key(k)
* 1057* return self.cache[k]
* 1058* except KeyError:
/Users/jahundle/sage/src/sage/misc/cachefunc.pyx in
sage.misc.cachefunc.dict_key
(/Users/jahundle/sage/src/build/cythonized/sage/misc/cachefunc.c:2650)()
* 600* hash(o)
* 601* except TypeError:
--> 602 o = (unhashable_key, cache_key_unhashable(o))
* 603* return o
* 604*
/Users/jahundle/sage/src/sage/misc/cachefunc.pyx in
sage.misc.cachefunc.cache_key_unhashable
(/Users/jahundle/sage/src/build/cythonized/sage/misc/cachefunc.c:3160)()
* 649* """
* 650* if isinstance(o, tuple):
--> 651 return tuple(cache_key(item) for item in o)
* 652* try:
* 653* k = o._cache_key()
/Users/jahundle/sage/src/sage/misc/cachefunc.pyx in genexpr
(/Users/jahundle/sage/src/build/cythonized/sage/misc/cachefunc.c:3060)()
* 649* """
* 650* if isinstance(o, tuple):
--> 651 return tuple(cache_key(item) for item in o)
* 652* try:
* 653* k = o._cache_key()
/Users/jahundle/sage/src/sage/misc/cachefunc.pyx in
sage.misc.cachefunc.cache_key
(/Users/jahundle/sage/src/build/cythonized/sage/misc/cachefunc.c:2851)()
* 640* hash(o)
* 641* except TypeError:
--> 642 o = cache_key_unhashable(o)
* 643* return o
* 644*
/Users/jahundle/sage/src/sage/misc/cachefunc.pyx in
sage.misc.cachefunc.cache_key_unhashable
(/Users/jahundle/sage/src/build/cythonized/sage/misc/cachefunc.c:3160)()
* 649* """
* 650* if isinstance(o, tuple):
--> 651 return tuple(cache_key(item) for item in o)
* 652* try:
* 653* k = o._cache_key()
/Users/jahundle/sage/src/sage/misc/cachefunc.pyx in genexpr
(/Users/jahundle/sage/src/build/cythonized/sage/misc/cachefunc.c:3060)()
* 649* """
* 650* if isinstance(o, tuple):
--> 651 return tuple(cache_key(item) for item in o)
* 652* try:
* 653* k = o._cache_key()
/Users/jahundle/sage/src/sage/misc/cachefunc.pyx in
sage.misc.cachefunc.cache_key
(/Users/jahundle/sage/src/build/cythonized/sage/misc/cachefunc.c:2851)()
* 640* hash(o)
* 641* except TypeError:
--> 642 o = cache_key_unhashable(o)
* 643* return o
* 644*
/Users/jahundle/sage/src/sage/misc/cachefunc.pyx in
sage.misc.cachefunc.cache_key_unhashable
(/Users/jahundle/sage/src/build/cythonized/sage/misc/cachefunc.c:3215)()
* 651* return tuple(cache_key(item) for item in o)
* 652* try:
--> 653 k = o._cache_key()
* 654* except AttributeError:
* 655* raise TypeError("unhashable type: {!r}".format(type(o).
__name__))
/Users/jahundle/sage/src/sage/structure/sage_object.pyx in
sage.structure.sage_object.SageObject._cache_key
(/Users/jahundle/sage/src/build/cythonized/sage/structure/sage_object.c:3033)
()
* 408* hash(self)
* 409* except TypeError:
--> 410 raise TypeError("{} is not hashable and does not
implement _cache_key()".format(type(self)))
* 411* else:
* 412* assert False, "_cache_key() must not be called for
hashable elements"
TypeError: <class 'sage.groups.alg_gps.based_root_datum.BasedRootDatum'> is
not hashable and does not implement _cache_key()
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