Compute the image tuple of the inverse permutation.

    :param permutation: A valid (cf. :py:func:check_permutation) permutation.
    :return: The inverse permutation tuple
    :rtype: tuple

def invert_permutation(permutation):
    """Compute the image tuple of the inverse permutation.

    :param permutation: A valid (cf. :py:func:check_permutation) permutation.
    :return: The inverse permutation tuple
    :rtype: tuple
    """
    return tuple([permutation.index(p) for p in range(len(permutation))])