FOR ARY COMPOSITE MODULUS, REAL OR COMPLEX. 
311 
m = 4 + Qi = - i (1 + if (2 + 3i) N fn) = 52 (m) = 24 = 2. 2l 3 H. E. = 12 
y = Y (mod 2) rc = X + 21 (Y — y) (mod 20). 
Generators 15, 6 + i. 
0 0 
1 
i 
3 1 
0 1 
G + i 
1 
0 0 
1 0 
15 
2 + i 
10 1 
1 1 
20+i 
3 
4 0 
2 0 
17 
4 + i 
6 1 
2 1 
22+ i 
5 
9 0 
3 0 
21 
G + 'i 
0 1 
3 1 
i 
7 
11 0 
4 0 
3 
8 -1- 
4 1 
4 1 
8 + -! 
9 
8 0 
5 0 
19 
lO-f-i 
9 1 
5 1 
24+ i 
11 
7 0 
6 0 
25 
12 -hi 
11 1 
1 ^ 1 
4-t-i 
14+ i 
8 1 
■ 7 0 
11 
15 
1 0 
! 7 1 
16+ i 
16+ i 
7 1 
8 0 
9 
17 
2 0 
8 1 
14+ i 
19 
5 0 
9 0 
5 
20 + i 
1 1 
9 1 
10 + i 
21 
3 0 
10 0 
23 
22 +i 
2 1 
10 1 
2 + i 
23 
10 0 
11 0 
7 
24-hi 
5 1 
11 1 
12 + i 
25 
6 0 
(12) (2) (12) (2) 
m 7 -j- 2^ 
m = 2 -f- 7^ 
N(m) = 53 (I>(??i) = 52 = 2-.13 H. E. = 52 a; = X-j-23Y (mod 53). 
N (?/?) = 53 fl>(i») = 52 = 2M3 H. E. = 52 x = X + 30Y (mod 53). 
Generator 3. 
0 1 
2 
3 
4 
5 
6 
7 
8 
9 
10 
11 
12 
13 
14 15 
16 
17 
18 
1 3 
9 
27 
28 31 
40 
14 
42 
20 
7 
21 
10 
30 
37 5 
15 
45 
29 
19 
20 
21 
22 
23 
24 
25 
26 
27 
28 
29 
30 
31 
32 33 
34 
35 
36 
34 
49 
41 
17 51 
47 
35 
52 
50 • 44 
26 
25 
22 
13 39 
11 
33 
46 
37 
38 
39 
40 
41 
42 
43 
44 
45 
46 
47 
48 
49 
50 
51 
32 
43 
23 
16 
48 
38 
8 
24 
19 
4 
12 
36 
2 
6 
13 
(52) 
(52) 
(52) 
