def METHOD_NAME():
    spg_table = get_spg_table()
    for hall_number in range(1, 530 + 1):
        print(hall_number)
        choice = spg_table[hall_number]['choice']
        number = spg_table[hall_number]['number']
        hall_symbol = spg_table[hall_number]['hall_symbol']
        coset_expected = MagneticHallSymbol(hall_symbol).coset
        hall_number_std = get_standard_hall_number(number)
        hall_symbol_std = spg_table[hall_number_std]['hall_symbol']
        coset_std = MagneticHallSymbol(hall_symbol_std).coset
        # Transform from ITA standard setting to alternative setting
        from_std = Transformation.to_standard(hall_number, choice, number).inverse()
        coset_actual = from_std.transform_coset(coset_std)
        assert set(coset_actual) == set(coset_expected)