775] 
377 
775. 
TABLES OF COYABIANTS OF THE BINABY SEXTIC. 
[ Written in 1894: now first published.] 
The binary sextic has in all (including the sextic itself and the invariants) 26 
covariants which I have represented by the capital letters A, B, C,, Z. The leading 
coefficients of the covariants A to B (of course for an invariant this means the 
invariant itself) are given in my paper “Tables for the binary sextic,” Amer. Math. Jour. 
vol. iv. (1881), pp. 379—384, [774]; the two invariants Z and W (Salmon’s invariants 
D and E) had been already calculated. But I did not in my values of the leading 
coefficients, nor did Salmon in his values of the two invariants, insert the literal 
terms with zero coefficients : as remarked in my paper [143] “ Tables of the covariants 
M to W of the binary quintic,” it is very desirable to have in every case the 
complete series of literal terms, and I have accordingly in the expressions of the 
covariants A to R obtained for the leading coefficients, and in the expressions obtained 
from Salmon for the invariants W and Z, inserted in each case the complete series of 
literal terms. 
I give a list of the 26 covariants nearly in the form of that given in the latter 
paper [143] for the covariants of the quintic, only instead of a separate column of 
deg-weights I insert these in the body of the symbol; thus 
C = {3, 3, 4, 3, 3) 2 4 to 8 (x, y)\ 
the 5 coefficients of the quartic function contain respectively 3, 3, 4, 3, 3 terms 
(some of them it may be with zero coefficients), are of the degree 2, and of the 
weights 4, 5, 6, 7, 8 respectively. 
The list is as follows : 
A = (1, 1, 1, 1, 1, 1, l) 1 0 to 6(x, y)\ 
B = (4) 2 6 (x, y)°, Invt., 
G = (3, 3, 4, 3, 3) 2 4 to 8 (x, y)\ 
D = (2, 2, 3, 3, 4, 3, 3, 2, 2) 2 2 to 10 (x, yf, 
C. XI. 
48