"Imaginary Number District – Five Elements Institution" (虚数学区・五行機関 Kyosū Gakku · Gogyō Kikan?) is the last episode of the Toaru Majutsu no Index anime series, and the last episode of the Kazakiri Hyouka Arc. It was first broadcast on March 19, 2009, and was directed Tachibana Hideki, storyboarded by Nakatsu Tamaki, and the script written by Akahoshi Masanao.