FOR ANY COMPOSITE MODULUS, REAL OR COMPLEX. 
305 
= G + 2^ = — (L + if (I + 2i) N {m) = 40 <I) [m] = 16 = 2^. 2'^ H. E. = 4. 
2/ = Y (mod 2) a: = X + 7 (Y — y) (mod 20). 
Generators 3, i. 
0 0 
1 
i 
0 1 
0 1 
i 
1 
0 0 
0 2 
19 
2 + i‘ 
3 1 
0 3 
6 + i 
3 
1 0 
1 0 
3 
4 + i 
3 3 
1 1 
14 + 1 
6 + 1 
0 3 
1 2 
17 
7 
.3 0 
1 3 
12 + i' 
9 
2 0 
2 0 
9 
10 + 1 
2 3 
2 1 
16 + 1 
11 
2 2 
2 2 
11 
12 + i 
1 3 
2 3 
10 + i 
13 
3 2 
3 0 
7 
14+ i 
1 1 
3 1 
2 + 1 
18 + i‘ 
2 1 
3 2 
13 
17 
1 2 
3 3 
4 -'r i 
19 
0 2 
(4) (4) (4) (4) 
m = 2 + i (1 + if (2 + ^) N (?n) = 40 4> [m) = 16 = 2^. 2 H. E. = 4. 
2 / = Y (mod 2) a; = X -f 13 (Y — 2 /) (mod 20). 
Generators 3,14 + 
0 0 
1 
i 
0 3 
0 1 
14 + 1 
1 
0 0 
0 2 
19 
3 
1 0 
0 3 
i 
4 + i 
2 3 
1 0 
3 
6 + i 
1 3 
1 1 
8 + 1 
7 
3 0 
1 2 
17 
8 + i 
1 1 
1 3 
6 + i 
9 
2 0 
2 0 
9 
10 + i 
2 1 
2 1 
10 + 1 
11 
2 2 
2 2 
11 
13 
3 2 
2 3 
4 + 1 
14+ i 
0 1 
0 
7 
16 + i 
3 1 
3 1 
16+i 
17 
1 2 
3 2 
13 
18 + i 
3 3 
3 3 
18 + i 
19 
0 2 
1 
(4) (4) (4) (4) 
2 n 
MDCCCXCIII.—A. 
