EQUATIO]S^S OF THE SECOND, THIED, FOUETH, AND FIFTH DEOEEES. 735 
Table for the degree 4. 
The Sturmian functions for the quartic (a, b, c, d, e\x, l)^ are 
( a ^ b Q c ^ d e 1)^, 
a 
3 h 
3 c 
d 
i — 3 ac 
— Z ad 
— ae 
+ 3 
“j“ 3 he 
+ bd 
— 1 aJ^ce 
+ 1 d^de 
+ 3 edd^ 
— 4 abce 
+ 1 ab'^e 
— 1 abd^ 
— 14 abed 
+ 3 ac^d 
+ 9 ac^ 
+ 3 b^e 
+ 8 b^d 
— 2 b^cd 
- 6 
1 ). 
+ 1 aV 
+ &c. 
Disct. Tab. 
No. 12. 
Table for the degree 5. 
The Sturmian functions for the quintic (a, b, c, e, 1)* 
( « 
5 b 
10 c 10 
5 e 
f 1)*, 
( 
a 
4 6 6 c 4 e? 
e 
in 
( 
— 4 etc 
— Q ad 
— 4 ae 
- «/ 
+ 4 b^ 
+ 6 be 
+ A. bd 
+ be 
2 ( 
— 8 a^ce 
— 2 edef 
+ 3 aHf 
+ 18 a^d^ 
+ 12 aHe 
— 11 abef 
+ 8 ab'^e 
+ 2 ahy 
— 3 abde 
— 76 abed 
— 42 abce 
+ 8 ac^e 
+ 48 ac® 
-12 abd^ 
+ 8 6®/ 
+ 40 b^d 
-30 6V 
+ 32 a(?d 
+ 30 6®e 
-20 6W 
— 5 Vee 
