150 
AN EIGHTH MEMOIR ON QUANTICS. 
[405 
[In regard to this table No. 81 it is hardly necessary to notice that for any 
column with an even heading the numbers of the column correspond to the even 
outside numbers, while for any column with an odd heading the numbers of the 
column correspond to the odd outside numbers. The table is in fact a table of the 
differences of the numbers of the «/-table, 142 ; thus in this table writing down 
cols. 5 and 6 and in each of them forming the differences by subtracting from each 
number the number immediately below it, we have cols. 5 and 6 of the table No. 81, viz.: 
1 1 2 3 5 7 9 11 14 16 18 19 20 col. 5, 13—12 of «/-table. 
1011222 2 3 2 2 1 1 col. 5 of table No. 81. 
1 1 2 3 5 7 10 12 16 19 23 25 29 30 32 32 col. 6, 15 of «/-table. 
1011223243424 1 20 col. 6 of table No. 81.] 
252. The interpretation up to the degree 6 is as follows: 
[In the following Table No. 82 as originally printed, the heading of the fourth 
column was “ Constitution. Nos. in ( ) refer to Tables in former Memoirs except (83) 
and (84) which are given post,” and the covariants were referred to by their Nos. 
accordingly.]