330 
MR. G. T. 13ENNMTT UN THE RESIDUES OE POWERS OF NUMBERS 
= 8 + 6i -- 
H. E. 
- (1 + + 2?:)2 N (m) = 100 = 40 = 2.2o5. 
20 ^ = Y (luod 2) cc ^ X + 7 (Y — y) (mod 50). 
Generators 3, 44 -f e 
0 
0 
1 
10 
0 
49 
i 
15 
1 
0 
1 
44 4- i 
10 
1 
42 4-7 
] 
0 
0 
1 
0 
3 
11 
0 
47 
2 4" i 
2 
1 
1 
1 
46 4- i 
11 
1 
40 4-7 
3 
1 
0 
2 
0 
9 
12 
0 
41 
4 + 7 
8 
1 
2 
1 
24-7 
12 
1 
34 4- 7 
6 + 7 
17 
1 
.3 
0 
27 
13 
0 
23 
7 
15 
0 
3 
1 
20 4-7 
13 
1 
16 +7 
9 
2 
0 
4 
0 
31 
14 
0 
19 
10 + 7 
19 
1 
4 
1 
244-7 
14 
1 
12 + 7 
11 
8 
0 
5 
0 
43 
1.5 
0 
7 
12 + 7 
14 
1 
5 
] 
36 4“ i 
15 
1 
i 
13 
17 
0 
6 
0 
29 
16 
0 
21 
14 + 7 
16 
1 
G 
1 
22 4“ i 
IG 
1 
14+7 
16 + 7 
13 
1 
7 
0 
37 
17 
0 
13 
17 
19 
0 
7 
1 
30 4‘ i 
17 
1 
6 + 7 
19 
14 
0 
8 
0 
11 
18 
0 
39 
20 + 7 
3 
1 
8 
1 
44-7 
18 
1 
32 4” 
21 
16 
0 
9 
0 
33 
- 19 
0 
17 
22 4“ 
6 
1 
9 
1 
26 4~ 
19 
1 
10 4" 
23 
13 
0 
(20) (2) 
( 20 )( 2 ) 
ro 
20 ) ( 2 ) 
24 + 7 
4 
1 
26 + i 
9 
1 
27 
o 
O 
0 
29 
6 
0 
30 + 7 
i 
1 
31 
4 
U 
32 + 7 
18 
1 
33 
9 
0 
34+ 7 
12 
i 
36 + 7 
5 
1 i 
37 
7 
0 ' 
39 
18 
0 
40 + 7 
11 
1 
41 
12 
0 ‘ 
42 + 7 
10 
1 
43 
5 
0 
44 +1 
0 
1 
46 + 7 
1 
1 
47 
11 
0 
49 
10 
0 
(20) (2) 
VL = 6 4- 8i = - i (1 + /) - (2 + 1 )- N (aO = 100 cP (?h} = 40 = 2.2". 5 
H. E. = 20 // = Y (mod 2) a; = X + '13 (Y — (mod 50). 
Generators 3, 8 + 
0 0 
1 
10 0 
49 ■ 
0 1 
8 + 7 
10 1 
6 + 7 
1 0 
3 
11 0 
47 
1 1 
10 + 7 
11 1 
4 + 7 
2 0 
9 
12 0 
41 
2 1 
16 + 7 
12 1 
48 + 7 
3 0 
27 
13 0 
23 
3 1 
34 + 7 
13 1 
30-1- i 
4 0 
31 
14 0 
19 
4 1 
38 + 7 
14 1 
26 + 7 
5 0 
43 
15 0 
7 
5 1 
7 
15 1 
14 + 7 
6 0 
29 
16 0 
21 
6 1 
36 + 7 
16 1 
28 + 7 
7 0 
37 
17 0 
13 
7 1 
44 + 7 
17 1 
20 + 7 
8 0 
11 
18 0 
39 
8 1 
18 + 7 
18 1 
46 + 7 
9 0 
33 
19 0 
17 
9 1 
40 + 7 
19 1 
24 + 7 
(20) (2) (20) (2) 
i 
o 
1 
26 + 7 
11 
1 
1 
0 
0 
27 
3 
0 
3 
1 
0 
28 + 7 
16 
1 
4 + 7 
11 
1 
29 
6 
0 
6 -j- 'A 
10 
1 
30 "f- i 
13 
1 
7 
15 
0 
31 
4 
0 
8 + 7 
0 
1 
33 
9 
0 
9 
2 
0 
34 -|- i 
3 
1 
10 + 7 
1 
1 
36 + 7 
t) 
1 
11 
8 
0 
37 
7 
0 
13 
17 
0 
38 + 7 
4 
1 
14 + 7 
15 
1 
39 
18 
0 
16 + 7 
2 
1 
40 + 7 
9 
1 
17 
19 
0 
41 
12 
0 1 
18 + 7 
8 
1 
43 
5 
6 ' 
19 
14 
0 
44 + 7 
7 
1 i 
20 + 7 
17 
1 
46 + 7 
18 
1 
21 
16 
0 
47 
11 
0 
23 
13 
0 
48 + 7 
12 
1 
24 “h i 
19 
1 
49 ^ 
10 
0 
( 20 ) ( 2 ) ( 20 )( 2 ) 
