Learn more about

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
1
1
2
1
3
1
2
4
1
3
5
1
4
2
3
6
1
5
7
1
6
2
4
3
5
8
1
3
5
7
9
1
8
4
7
2
5
10
1
9
3
7
11
1
10
3
4
5
9
2
6
7
8
12
1
5
7
11
13
1
12
3
9
5
8
4
10
2
7
6
11
14
1
13
9
11
3
5
15
1
4
11
14
2
8
7
13
16
1
7
9
15
3
11
5
13
17
1
16
4
13
2
9
8
15
3
6
5
7
10
12
11
14
18
1
17
7
13
5
11
19
1
18
7
11
8
12
4
5
6
16
9
17
2
10
3
13
14
15
20
1
9
11
19
3
7
13
17