In this paper we study classes unary generated ultra functions. It is shown that the set of unary ultra functions is complete.

When examining all subsets unary ultra functions with the possibility of closure only of superposition received 131 different class. If you allow the possibility of adding exactly one fictitious argument, the class number is reduced to 81 as listed in Annex 1.

It is proved that 68 of the 81 classes are guaranteed to be closed with respect to superposition and adding an arbitrary number of fictitious arguments.

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