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The Hachiman (八幡) Family is one of the 18 Assistant Houses, bearing the number Eight (八) in their name.
They are part of 18 Assistant Houses and are from the Eighth Institute, where the research focus was, "Magic that Manipulates the Four Fundamental Interactions" (Gravitational, Electromagnetic, Strong Nuclear, Weak Nuclear). The labs' research can easily lead to nuclear weapons development; and so with the National Defense Forces approval, it has been quashing suspicions that it was developing nuclear missiles. 
- Family Head