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2. There are three equivalent functions, and no more, of the 
6 th degree, made with four letters, which have three values. 
3. There are two functions, and no more, of the third 
degree, which have each three values. 
4. There are two functions, and no more, of the second 
degree, which have each two values. 
5. There are six equivalent functions, and no more, of the 
10th degree, made with five letters, which have each six 
values. 
6. There are three equivalent 6-valued functions, and no 
more, of the 6th degree, made with five letters. 
7. There are two 6-valued functions, and no more, of the 
fourth degree, made with five letters, and these are the 
simplest 6-valued functions of five letters, one of twenty, 
and the other of ten terms, of the form x; x b x c . 
8. There are six 12-valued equivalent functions, of the 10th 
degree, and no more, made with five letters. 
9. There are two 12-valued functions, of the fourth degree, 
and no more, made with five letters. 
10. There is one 12- valued function, and no more, of the 
3rd degree, made with five letters. 
11. There are six equivalent 24-valued functions, and no 
more, of the 1 0th degree, made with five letters. 
12. There are three equivalent 24-valued functions, and no 
more, of the 6th degreee, made with five letters. 
13. There is one 24-valued function, and no more, of the 
4th degree, made with five letters. 
14. There is one 24-valued function, and no more, of the 
3rd degree, made with five letters. 
15. There are ten equivalent 10-valued functions of the 
10th degree, made with five letters. 
16. There are six equivalent 6-valued functions, and no 
more, of the 15th degree, made with six letters, each term 
having five different exponents. 
