from autogen.coding.func_with_reqs import with_requirements

@with_requirements(['sympy'])
def complex_numbers_product(complex_numbers):
    """
    Calculates the product of a list of complex numbers.

    Args:
        complex_numbers (list): A list of dictionaries representing complex numbers.
            Each dictionary should have 'real' and 'imag' keys representing the real
            and imaginary parts of the complex number.

    Returns:
        complex: The simpified product of the complex numbers.

    """
    from sympy import I, simplify
    result = 1
    for c in complex_numbers:
        result *= (c['real'] + I*c['imag'])
    return simplify(result)