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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def out(self):
 """ Prints a readable Quil string representation of this gate. :returns: String representation of a gate :rtype: string """

        def format_matrix_element(element):
            """
            Formats a parameterized matrix element.

            :param element: {int, float, complex, str} The parameterized element to format.
            """
            if isinstance(element, integer_types) or isinstance(element, (float, complex, np.int_)):
                return format_parameter(element)
            elif isinstance(element, string_types):
                return element
            elif isinstance(element, Expression):
                return str(element)
            else:
                raise TypeError("Invalid matrix element: %r" % element)

        if self.parameters:
            result = "DEFGATE {}({}):\n".format(self.name, ', '.join(map(str, self.parameters)))
        else:
            result = "DEFGATE {}:\n".format(self.name)

        for row in self.matrix:
            result += "    "
            fcols = [format_matrix_element(col) for col in row]
            result += ", ".join(fcols)
            result += "\n"
        return result