of the hyperelliptic functions. 223 



(1) Qm = - 10C C 4 + 40(7^3 - 30(7 2 2 



+ (- 8(7 2 , 8G lt 4(7 , - 3(7 , 0, ), 



(2) Q 3m = -10G G B - 20(7^3 + 30(7^ 



+ (-12G s , 10G 2 , 12C 3J - 40!, -20,, ), 



(3) Q sasl = -5C 2 C 4 + 8C x C 5 -3C C e 



+ (- 3(7 4 , 0, 10(7 2 , 0, -4(7^ (7 ), 



(4) Q 3S22 = - 40C :! 2 + 40(7 2 (7 4 - 8C C 6 + 8G.G, 



+ (-186 4 , 12(7 3) 2S(7 2 , - 6(72,-4(7!, - 2(7 ), 



(5) Q« = 120/7,- 100,0*^20,0, 



+ (- 4(7 g ,-2(7 4 , 20(7 3 , 0, -60 2 , ), 



(6) Q S3 n = $C s C 5 -i£C 4 *-±C Q O a 



+ ( 0, -4(7 5 , 120 4 , 4 ,-40 3 , )+ 2A, 



(7) Q3222 = - 60C 3 (7 4 - 20(7^ + 84C 2 (7 D - 4(7 (7 7 



+ (-280 5 , 160 4 , 56C 3 , -126' 3 , 0, -12G,), 



(8) ^ = -¥^ + 8(73(7,-8(7^ + 18(7,(76-1(70(7, 



+ (- 6(7 6 ,-4(7 5 , 36C 4 , - 2(7 4 ,-4(7 3 , - 60 2 )- 2A, 



(9) Qmi = - 1O0 4 5 + 120 3 6 -2GA 



+ ( 0, -6(7 6 , 2O0 5 , 0, -20 4 , - 4'0 3 ), 



(10) & m = 80 3 7 -30 2 8 -50 4 6 



+ ( 8 ,-40 7 , 1O0 6 , 0, 0, - 3(7 4 ), 



(11) Q 2222 = 2160 3 5 + 40 2 6 - 1950 4 2 - 240 x 7 - (7 C 8 



+ (-48(7 6 , 32(7 g , 96C 4 , -320 4 , 320 3 , -480 2 ) + 12A, 



(12) Q 2221 = - 60C 4 C 5 + 84C 3 (7 B - 20(7 2 (7 7 - 4(7,6; 



+ (-120 7 , 0, 560 5 , -12(7 5 , 16(7 4 , -280 3 ), 



(13) Q 2211 = - 40(7 5 2 + 4O0 4 6 - 8C,G 8 + 8(736', 



+ (- 20 8 ,-4(7 7 , 28(7 6 , - 6(7 6 , 12(7 5 , - 18(7 4 ), 



(14) Q. 2Ul = - 20G 5 G 6 - 1 0G s G s + 3O0 4 7 



+ ( 0, -2(7 8 , 12(7 7 , - 46' 7 , 106' 6 , - 12G 5 ), 



(15) Qun = - 306 6 2 - 106' 4 (7 8 + 4O0 5 7 



+ (0, 0, 4(7 8 , - 30 8 , 8(7 7 , - 86 6 ). 



These are seen on inspection* to satisfy (i) the condition of 



* The last term of the second equation on p. 155 Acta Math, xxvii. should be 

 -2X 8 fc 21 instead of + 2A 8 £> 21 . On p. 519 Camb. Phil. Proc. Vol. ix. in the ninth 

 equation -X should be printed for \ , in the eleventh equation the term - #X X is 

 omitted ; these would not affect the results on p. 520. 



15—2 



