320 
MR. G. T. BENNETT ON THE RESIDUES OF POWERS OF NUMBERS 
m = 9 -f- 3^' = — (1 + 0 (1 + ^'0 ^ N — '^2 = 2^ 2^ 
H. E. = 8 y = Y (morl 3) .'k = X + 7 (Y — y) (mod 30). 
Generators 2 + i, i. 
i 
0 1 
1 
0 0 
2 + 2 
1 0 
3 + 22 
4 1 
4 + 2 
3 2 
5 -|- 2'? 
3 0 
6 + 2 
4 3 
7 
6 1 
7 + 22 
1 2 
9 + 22- 
0 3 
10+ 7 
1 3 
II 
4 0 
12 + 7 
6 2 
13 
2 3 
13 + 27 
7 3 
14 + 2 
5 2 
15 + 27 
2 2 
1() +2 
5 1 
17 
2 1 
17 + 27 
7 2 
19 
4 2 
19 + 27- 
3 1 
20 + 7 
3 3 
22 -f- 2 
7 0 
23 
6 3 
23 + 27 
5 3 
24 + 7 
2 0 
25 + 27 
5 0 
26 + 7 
7 1 
27 + 27 
6 0 
29 
0 2 
29 + 27 
1 1 
1 
0 0 
1 
0 1 
0 2 
29 
0 3 
9 + 27 
1 0 
2 + 7 
1 1 
29 + 2-; 
1 2 
7 + 2^' 
1 3 
10 + 7 
2 0 
24 + 7 
2 1 
17 
2 2 
15 + 27 
2 3 
13 
3 0 
5 + 27 
3 1 
19 + 27 
3 2 
4 + 7 
3 3 
20 + 7 
4 0 
11 
4 1 
3 + 27 
4. 2 
19 
4 3 
6 + 7 
5 0 
25 + 27 
5 1 
16 + 7 
5 2 
14 + 7 
1 5 3 
23 + 27 
6 0 
27 + 2i 
i ^ 
7 
6 2 
12 + 7 
7 0 
22 + 7 
7 1 
26 + 7 
7 2 
17 + 27 
7 3 
1 
13 + 27 
. 
(8) (4) 
(8) (4) 
