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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