What are the recommended times for supplication when the Prophet (peace be upon him) supplicated during his Hajj and Umrah?

The pilgrim performing Hajj and the one performing Umrah are the delegations of Allah. He called them, and they responded. They asked Him, and He granted their requests. And the greatest of His gifts to them is the forgiveness of sins, so they return as pure as the day their mothers bore them. As for the times of supplication during Hajj and Umrah, they are: at Safa, at Marwa, at Al-Mash'ar Al-Haram, on the Day of Arafat, and after stoning the minor and middle jamarat.