693]
A TENTH MEMOIR ON QUANTICS,
373
Table No. 98 (continued).
L divided and (as to first six coefficients) segregate is
-f- 3 -f- 3
l + l
abd — 3
a 2 £ - 4
«V - 13
a s n — 3
a 4 m - 1
a 3 bde — 7
a 4 b* - 2
a°b 2 c - 7
+ 1
a 2 6 3 — 5
a 2 bl - 45
a 3 b 2 d + 13
a 2 b 3 f - 7
,,bd 2 + 3
„ c/t + 7
a°cl- 21
„ bh - 5
„ ck — 20
» cj + 3
„ b 2 ce +14
a 3 b 2 cd +10
„<# + 10
abci — 10
a 2 b 3 c - 13
,,d?f+ 12
,,de 2 + 2
abed + 30
a°c 2 l + 105
„ bch + 29
abedf + 23
aW +13
a°b 2 c 2 + 105
,,c 2 g - 16
„ c 2 de — 24
+ 4
,,ch -105
abc 2 d — 3
a°b 2 cf+ 25
,, bee 2 — 2
a°b 2 c 3 — 21
„ bc 3 e - 55
,,c 2 d 2 -15
„ c 3 h + 21
,,c 3 l - 3
a&c 3 e? — 28
,,c 2 fh+ 2
» edef — 7
,,ce 2 f- 7
«W -19
,, bc 2 ef- 10
,,c 4 /i - 1
„ cV + 5
5.7 6.10 7.13 8.16 9.19 10.22 11.25 12.28
where the fractional coefficients are =
a?b 3 — 6
a 2 6 2 e - 1
,,d 2 + 3
abdf + 39
abed +26
„ ede — 22
a°b 2 c 2 + 31
a°6 2 c/+ 16
,,bef + 7
„ bc 2 e — 4
„ c 2 h - 7
,,c 2 l + 19
„ ce 2 - 1
CO
1
,,fl -11
,,eY + 1
the last two coefficients have not been reduced to the segregate form.
M divided and segregate is
J7= a 8 (
m + 1
6£- 1
1
p -1
ac?<7 +
1
1
yf-
7.5
6.2
8.8