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