  The static and dynamic electric-dipole polarizabilities of the $6s^2\,^1S_0$
and $6s6p\,^3P_1^o$ states of Yb are calculated by using the relativistic ab
initio method. Focusing on the red detuning region to the
$6s^2\,^1S_0-6s6p\,^3P_1^o$ transition, we find two magic wavelengths at
1035.7(2) nm and 612.9(2) nm for the $6s^2\,^1S_0-6s6p\,^3P_1^o, M_J=0$
transition and three magic wavelengthes at 1517.68(6) nm, 1036.0(3) nm and
858(12) nm for the $6s^2\,^1S_0-6s6p\,^3P_1^o, M_J=\pm1$ transitions. Such
magic wavelengths are of particular interest for attaining the
state-insensitive cooling, trapping, and quantum manipulation of neutral Yb
atom.
