The Sacrifice and Shaving the Head

Then he sacrifices his hady. If he is performing tamattu' or qiran, the hady is obligatory; if he is performing ifrad, the hady is voluntary. Then he shaves his head, and shaving is better than shortening the hair; because the Prophet (peace and blessings be upon him) shaved and invoked blessings for those who shaved three times, and in the fourth time, after reviewing, he invoked blessings for those who shortened their hair.
And with the stoning of the pillars and shaving or shortening the hair, the first exit from the state of ihram is achieved, even if he has not sacrificed; because the sacrifice has no connection to exiting the state of ihram.