Can we expect a freely precessing neutron star in Her X-1

We show that rotating magnetized neutron stars, as a rule, have a form of either an aligned symmetrical top or a three-axis figure. The formation of inclined symmetrical top necessary for free precession model is very problematic. The formula for observed period variation due to free precession is obtained. The variations of the pulse shape during 35 day cycle cannot be explained by free precession but find its natural explanation in the model of precessing accretion disk