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As shown in the diagram, the computation starts with an initial input x, which is processed by the formula 4x^{2}+9x+3 to produce a result. If this result is greater than 0, it is outputted; otherwise, the resulting value is used as the new input x for another run of the program … until the result is eventually outputted. 
(1) When the initial input x = -1, the output result is ____;
(2) If the program satisfies the condition that there exists a real number a, such that when the initial input x = a, the program's computation never stops (i.e., it will run continuously), please provide a value of a that meets this condition ____.