  Using new experimental data, we have calculated the contribution to the
anomalous magnetic moment of the muon from the \pi0\gamma and \eta\gamma
intermediate states in the vacuum polarization with high precision:
a{\mu}(\pi0\gamma)+a{\mu}(\eta\gamma)=(54.7\pm 1.5)\times 10^{-11}. We have
also found the small contribution from e+e-\pi0, e+e-\eta and \mu+\mu-\pi0
intermediate states equal to 0.5\times 10^{-11}.
