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While explaining her Seven Generations technique to Hayate and Sakuya, Isumi mentions that her technique is like "Dar* Schneider's Hellow*een". This is a reference to the character Dark Schneider and his spell Halloween from the series Bastard‼.
While Machina was looking at his crushed hamburgers, the wrappers on them are seen with an "M" logo. This is a reference to the fast food restaurant McDonald's.