Camelot : Wastelands of Death (Free Quest) is the best AP-saving & time-saving location to farm Chain of the Fool. You'll get around 6x Chain of the Fool by spending 190 AP.
Rashoumon event (Ibaraki Douji event)
Murder at the Kogetsukan
Inheritance of Glory
Nero Claudius
Mysterious Heroine X (Alter)
Nikola Tesla
Altria Pendragon (Santa Alter)
Francis Drake
Assassin of Shinjuku (Yan Qing)
Katsushika Hokusai
Ereshkigal
Arthur Pendragon(Prototype)
Gorgon
Black Holy Grail (The Black Grail)