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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