Rigel left the Ivoli Fiery Mountain when he came to retrieve his equipment. He had no other purpose or reason to stay, and he didn't want to stay there for too long because he didn't want to encounter the Executives. The Elders also wanted him to leave because it wasn't safe for him to be there.
"Checil the Priestess, Clive the Prince, Navel the Admiral, Basmen the Elementalist, Alwin the King, and lastly Arsen the Emperor..." Rigel lifted his fingers as he looked at them. "The Executives are really something else," he looked at the sky after he heard about the power of each Executive that ruled the Tower.
Checil had the power to bring the dead and heal any wounds. Not only that, she was capable of seeing the past of the people she looked at. There were rumors that she was capable of seeing the possible futures which made her the most valuable and the reason why Players could take over the Tower.