def _repr_(self):
r"""
Return a representation string of this imaginary element.
TESTS::
sage: from sage.groups.misc_gps.imaginary_groups import ImaginaryGroup
sage: J = ImaginaryGroup(ZZ)
sage: J(imag=0) # indirect doctest
0
sage: J(imag=1) # indirect doctest
I
sage: J(imag=-1) # indirect doctest
-I
sage: J(imag=42) # indirect doctest
42*I
sage: J(imag=-42) # indirect doctest
-42*I
"""
from sage.rings.asymptotic.misc import repr_op
if self._imag_ == 0:
return '0'
if self._imag_ == 1:
return 'I'
if self._imag_ == -1:
return '-I'
return repr_op(self._imag_, '*', 'I')
def _repr_short_(self):
r"""
Return a short representation string of this imaginary group.
TESTS::
sage: from sage.groups.misc_gps.imaginary_groups import ImaginaryGroup
sage: J = ImaginaryGroup(ZZ)
sage: J._repr_short_()
'ZZ*I'
"""
from sage.rings.asymptotic.misc import parent_to_repr_short, repr_op
return repr_op(parent_to_repr_short(self.base()), '*', 'I')