Imprimitive Primitive
The table below displays Dirichlet characters of a given modulus $$q$$ and index $$n$$. If $$q$$ is the modulus, then each integer $$n$$ (on the $$q$$-th row) represents the Dirichlet character $$\chi_{q}(n,·)$$. The characters are grouped with respect to order and stacked integers indicate (complex) conjugate characters.
Modulus Order
1 2 3 4 5 6 more
21
 1
 8 13 20
 4 16
 2 11 5 17 10 19
22
 1
 21
 3 15 5 9
 7 19 13 17
23
 1
 22
 2 12 3 8 4 6 9 18 13 16 5 14 7 10 11 21 15 20 17 19
24
 1
 5 7 11 13 17 19 23
25
 1
 24
 7 18
 6 21 11 16
 4 19 9 14 2 13 3 17 8 22 12 23
26
 1
 25
 3 9
 5 21
 17 23
 7 15 11 19
27
 1
 26
 10 19
 8 17
 4 7 13 25 16 22 2 14 5 11 20 23
28
 1
 13 15 27
 9 25
 3 19 5 17 11 23
29
 1
 28
 12 17
 7 25 16 20 23 24 4 22 5 6 9 13 2 15 3 10 8 11 14 27 18 21 19 26
30
 1
 11 19 29
 7 13 17 23
31
 1
 30
 5 25
 2 16 4 8
 6 26
 15 29 23 27 7 9 10 28 14 20 18 19 3 21 11 17 12 13 22 24
32
 1
 15 17 31
 7 23 9 25
 3 11 5 13 19 27 21 29
33
 1
 10 23 32
 4 25 16 31
 2 17 5 20 7 19 8 29 13 28 14 26
34
 1
 33
 13 21
 9 19 15 25 3 23 5 7 11 31 27 29
35
 1
 6 29 34
 11 16
 8 22 13 27
 4 9 19 24 26 31
 2 18 3 12 17 33 23 32
36
 1
 17 19 35
 13 25
 5 29 7 31 11 23
37
 1
 36
 10 26
 6 31
 11 27
 7 16 9 33 12 34 8 14 23 29 3 25 4 28 21 30 2 19 5 15 13 20 17 24 18 35 22 32
38
 1
 37
 7 11
 27 31
 5 23 9 17 25 35 3 13 15 33 21 29
39
 1
 14 25 38
 16 22
 5 8 31 34
 4 10 17 23 29 35
 2 20 7 28 11 32 19 37
40
 1
 9 11 19 21 29 31 39
 3 27 7 23 13 37 17 33