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It is known that $M_\\mu$ is an iterated integral of length at most $\\mu$. The bound $\\mu$ depends on the deformation of $dF$.\n  In this paper we give a universal bound for the length of the iterated integral expressing the first nonzero term $M_\\mu$ depending only on the topology of the unperturbed system $dF=0$. 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It is known that $M_\\mu$ is an iterated integral of length at most $\\mu$. The bound $\\mu$ depends on the deformation of $dF$.\n  In this paper we give a universal bound for the length of the iterated integral expressing the first nonzero term $M_\\mu$ depending only on the topology of the unperturbed system $dF=0$. 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