Current No. 
35 
R = 1200 = 
36 
II 
CO 
o 
II 
O 
37 
D = 903 = 
38 
Y = 930 = 
39 
£ = 1130 = 
40 
o = 1660 = 
viz. these are derived forms characterized by having a power of abc + 81 3 as a factor: 
R is the discriminant; C, B, Y, Z occur in Aronhold, and in my Seventh memoir 
on Quantics [269]: in Clebsch and Gordan’s memoir of 1869. 
I regard as known forms A, U, H, P, Q, S, T, F, that is, the eight forms 
3, 11, 12, 15, 16, 1, 2, 17; the remaining 26 forms are expressed in terms of these 
by formulae involving notations which will be explained, viz. we have 
13 
AjT — 
3 (be' + b'c - 2ff',..., gh' + g'h - af' - a 
14 
il = 
T V Jac (U, H, 40- 
18 
n = 
-*[Jac] (P, Q, F). 
4 
© = 
(bc-f 2 ,..., gh-af, v, £?• 
5 
0' = 
6 
0" = 
JS 2 ©. 
7 
B = 
— ^ Jac(U, 0, A). 
8 
B' = 
9 
B" = 
10 
B'" = 
ts 
19 
J = 
— i Jac ( U, H, A). 
27 
J = 
i[Jac](P, Q, A). 
20 
K = 
- f {9*09*21 + 9,09 y H + d^d z H) - SUA. 
21 
K' = 
-(8)K. 
28 
K = 
3 {9*09*? + 9,00, P + d z %d$P} + QA. 
29 
K' = 
№*• 
22 
E = 
— -jLJac^, U, A). 
23 
E' = 
-i (&)E. 
44—2