def __call__(self, *args, **kwds):
r"""
Call method. This exists *purely* to override the old-fashioned
behaviour of the parent AbelianGroup class and ensure that
:meth:`element_constructor` gets called.
EXAMPLE::
sage: K.<b> = NumberField(x^2 + 389)
sage: C = K.class_group()
sage: C(K.ideal(b))
Trivial principal fractional ideal class
"""
return Group.__call__(self, *args, **kwds)
def __call__(self, *args, **kwds):
r"""
Call method. This exists *purely* to override the old-fashioned
behaviour of the parent AbelianGroup class and ensure that
:meth:`element_constructor` gets called.
EXAMPLE::
sage: K.<b> = NumberField(x^2 + 389)
sage: C = K.class_group()
sage: C(K.ideal(b))
Trivial principal fractional ideal class
"""
return Group.__call__(self, *args, **kwds)
def __call__(self, *args, **kwds):
r"""
Call method.
EXAMPLES::
sage: K.<a> = QuadraticField(-14)
sage: I = K.ideal(2,a)
sage: S = (I,)
sage: CS = K.S_class_group(S)
sage: J = K.ideal(7,a)
sage: G = K.ideal(3,a+1)
sage: CS(I)
Trivial S-ideal class
sage: CS(J)
Trivial S-ideal class
sage: CS(G)
Fractional S-ideal class (3, a + 1)
"""
return Group.__call__(self, *args, **kwds)
def __call__(self, *args, **kwds):
r"""
Call method.
EXAMPLES::
sage: K.<a> = QuadraticField(-14)
sage: I = K.ideal(2,a)
sage: S = (I,)
sage: CS = K.S_class_group(S)
sage: J = K.ideal(7,a)
sage: G = K.ideal(3,a+1)
sage: CS(I)
Trivial S-ideal class
sage: CS(J)
Trivial S-ideal class
sage: CS(G)
Fractional S-ideal class (3, a + 1)
"""
return Group.__call__(self, *args, **kwds)
