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