398 
A TENTH MEMOIR ON QUANTICS. 
[693 
(continued from last page.) 
a}b e 5 /' 2 
+ 9 
cPb c 4 df I 2 
+ 
111 
a b cd 4 e 2 
6 
a b°c 3 d 2 e 3 
+ 120 
ddef 
+ 174 
def 
- 
78 
d?e 
— 
9 
c 2 df 
- 66 
de 3 
- 36 
c 3 d 2 ef 
- 
36 
» b°ddf 2 
— 
9 
c 2 d 4 e 2 
- 240 
c 3 d 3 f 
- 204 
c 3 de 3 
— 
54 
c 5 e 2 f 
— 
51 
cd 8 e 
+ 144 
dd 2 e 2 
- 174 
ddf 
- 
96 
c 4 d 2 ef 
+ 
96 
d s 
- 27 
c 2 d 4 e 
+ 330 
cW 
+ 
150 
c 4 de 3 
+ 
111 
cdb 4 cdf 3 
- 9 
cd B 
- 99 
cd 5 e 
+ 
30 
c 3 df 
— 
27 
céf 2 
+ 9 
» b°c 6 ef 
- 63 
d 7 
- 
27 
c 3 d 3 e 2 
— 
234 
cPef 2 
- 18 
ddf 
+ 66 
» ddf 2 
- 
27 
c 2 d 5 e 
+ 
141 
def 
+ 45 
dde 2 
+ 99 
ddef 
+ 
24 
cd 7 
— 
27 
e 5 
- 27 
dd 3 e 
- 147 
dd 
+ 
54 
cdbhlf 3 
— 
18 
„ b 3 c 3 f 3 
+ 7 
c 3 d 5 
+ 45 
c 4 df 
+ 
27 
ef 2 
+ 
18 
c 2 def 2 
+ 51 
a°bf 3 
+ 2 
c 4 d 2 e 2 
- 
93 
„ b 4 cf 3 
+ 
15 
c 2 e 3 f 
- 72 
„ b B cef 2 
- 15 
c 3 d 4 e 
+ 
6 
cdef 2 
+ 
33 
cdf 2 
+ 63 
æp 
- 6 
c 2 d 6 
+ 
9 
céf 
- 
63 
cd 2 ef 
- 213 
def 
- 18 
a v b°cf 3 
+ 
3 
d 3 f 2 
+ 
54 
cde 4 
+ 171 
e 4 
+ 27 
def 2 
- 
30 
(Pdf 
— 
66 
d 4 ef 
+ 36 
» bWdf* 
+ 24 
ef 
+ 
27 
de 4 
+ 
27 
d 3 e 3 
- 43 
c?ef 
+ 51 
» dcdf 2 
+ 
51 
„ b 3 c 3 ef 2 
— 
54 
„ b 2 c 4 ef 2 
- 39 
cd 2 ej 
+ 102 
cdef 
- 
39 
c 2 d 2 f 2 
— 
129 
c 3 d?f 2 
- 150 
cde 3 
- 171 
ce 4 
- 
27 
c 2 def +186 
c 3 def + 303 
df 
+ 6 
d 3 ef 
+ 
60 
cV 
+ 
45 
c 3 e 4 
- 18 
d 3 e 2 
+ 18 
d' 2 e 3 
- 
45 
cd 3 ef 
+ 
51 
c 2 d 3 ef + 174 
„ b 3 cf 2 
- 9 
„ b 3 c 3 df 2 
- 
39 
cd 2 e 3 
— 
96 
c 2 d 2 e 3 
- 345 
ddef 
- 210 
c 3 e'f 
+ 
45 
df 
— 
54 
cdf 
- 99 
c 3 e 3 
+ 43 
c 2 d 2 ef 
- 
108 
d 4 e 2 
48 
cd 4 e 2 
+ 192 
c 2 dj 
- 120 
c 2 de 3 
+ 
96 
„ b 2 c 4 df 2 
+ 
114 
d R e 
- 18 
c 2 d 2 e 2 
+ 345 
Gdf 
- 
111 
c 4 e 2 f 
+ 
9 
„ bddf 2 
+ 117 
cd 4 e 
- 87 
cd 3 e 2 
+ 
147 
c 3 d 2 ef 
— 
150 
def 
- 51 
d 5 
2 
d 5 e 
— 
30 
c 3 de 3 
- 
147 
c 4 d?ef 
- 330 
„ b 2 def 
+ 72 
„ b 2 Gf 2 
+ 
9 
c 2 df 
+ 
93 
dde 3 
+ 87 
ddf 
+ 240 
c 4 def 
+ 
6 
c 2 d 3 e 2 
+ 
150 
ddf 
+ 147 
ddé 2 
- 192 
c 4 e 3 
- 
48 
cd 5 e 
— 
87 
dd 3 e 2 
+ 186 
c 3 d 3 e 
- 186 
d’df 
234 
d 7 
+ 
18 
c 2 d 5 e 
- 201 
c 2 d 5 
+ 96 
c 3 d 2 e 2 
— 
150 
„ b cf 2 
_ 
27 
cd 7 
+ 45 
» b c 6 df 
- 144 
c 2 d 4 e 
- 
108 
ddef 
- 
30 
„ Wdf 2 
- 27 
G e e 2 
+ 18 
cd 6 
+ 
57 
c 5 e 3 
+ 
30 
ddef 
+ 99 
dd 2 e 
+ 201 
„ b def 
+ 
9 
c 4 d 3 f 
— 
6 
de 3 
+ 2 
c 4 d 4 
- 87 
dd 2 f 
- 
141 
c 4 d 2 e 2 
+ 
108 
ddf 
- 45 
» №/ 
+ 27 
d'de 2 
+ 
87 
c 3 d 4 e 
— 
96 
dd 2 e 2 
- 96 
c 7 de 
- 45 
c 4 d 3 e 
+ 
96 
c 2 d 8 
4- 
21 
c 4 d 4 e 
+ 87 
c 6 d 3 
+ 20 
G 3 d B 
- 
51 
„ b°c 7 ef 
27 
c 3 d R 
- 20 
» b°c 7 df 
+ 
27 
c 6 df 
- 
9 
c 7 e 2 
— 
18 
c 6 de 2 
— 
57 
c G d 2 e 
— 
21 
c 5 d 3 e 
+ 
51 
dd 4 
+ 
12 
c 4 d 5 
- 
12 
I remark that I calculated the first two coefficients S 0> S 1} and deduced the 
other two S 2 from S u and S 3 from S 0> by reversing the order of the letters (or 
which is the same thing, interchanging a and f b and e, c and d) and reversing 
also the signs of the numerical coefficients. This process for S 2 , S 3 is to a very 
great extent a verification of the values of S 0 , S x . For, as presently mentioned, the