Dirichlet Characters of Orders 21-40

• Imprimitive

• Primitive

The table below displays Dirichlet characters of a given order.

Order	Characters
21	\( \chi_{ 43 }( 9, ·) \)	\( \chi_{ 43 }( 10, ·) \)	\( \chi_{ 43 }( 13, ·) \)	\( \chi_{ 43 }( 14, ·) \)	\( \chi_{ 43 }( 15, ·) \)	\( \chi_{ 43 }( 17, ·) \)	\( \chi_{ 43 }( 23, ·) \)
22	\( \chi_{ 23 }( 5, ·) \)	\( \chi_{ 23 }( 7, ·) \)	\( \chi_{ 23 }( 10, ·) \)	\( \chi_{ 23 }( 11, ·) \)	\( \chi_{ 23 }( 14, ·) \)	\( \chi_{ 23 }( 15, ·) \)	\( \chi_{ 23 }( 17, ·) \)
23	\( \chi_{ 47 }( 2, ·) \)	\( \chi_{ 47 }( 3, ·) \)	\( \chi_{ 47 }( 4, ·) \)	\( \chi_{ 47 }( 6, ·) \)	\( \chi_{ 47 }( 7, ·) \)	\( \chi_{ 47 }( 8, ·) \)	\( \chi_{ 47 }( 9, ·) \)
24	\( \chi_{ 73 }( 7, ·) \)	\( \chi_{ 73 }( 17, ·) \)	\( \chi_{ 73 }( 21, ·) \)	\( \chi_{ 73 }( 30, ·) \)	\( \chi_{ 73 }( 43, ·) \)	\( \chi_{ 73 }( 52, ·) \)	\( \chi_{ 73 }( 56, ·) \)
25	\( \chi_{ 101 }( 5, ·) \)	\( \chi_{ 101 }( 16, ·) \)	\( \chi_{ 101 }( 19, ·) \)	\( \chi_{ 101 }( 24, ·) \)	\( \chi_{ 101 }( 25, ·) \)	\( \chi_{ 101 }( 31, ·) \)	\( \chi_{ 101 }( 37, ·) \)
26	\( \chi_{ 53 }( 4, ·) \)	\( \chi_{ 53 }( 6, ·) \)	\( \chi_{ 53 }( 7, ·) \)	\( \chi_{ 53 }( 9, ·) \)	\( \chi_{ 53 }( 11, ·) \)	\( \chi_{ 53 }( 17, ·) \)	\( \chi_{ 53 }( 25, ·) \)
27	\( \chi_{ 81 }( 4, ·) \)	\( \chi_{ 81 }( 7, ·) \)	\( \chi_{ 81 }( 13, ·) \)	\( \chi_{ 81 }( 16, ·) \)	\( \chi_{ 81 }( 22, ·) \)	\( \chi_{ 81 }( 25, ·) \)	\( \chi_{ 81 }( 31, ·) \)
28	\( \chi_{ 29 }( 2, ·) \)	\( \chi_{ 29 }( 3, ·) \)	\( \chi_{ 29 }( 8, ·) \)	\( \chi_{ 29 }( 10, ·) \)	\( \chi_{ 29 }( 11, ·) \)	\( \chi_{ 29 }( 14, ·) \)	\( \chi_{ 29 }( 15, ·) \)
29	\( \chi_{ 59 }( 3, ·) \)	\( \chi_{ 59 }( 4, ·) \)	\( \chi_{ 59 }( 5, ·) \)	\( \chi_{ 59 }( 7, ·) \)	\( \chi_{ 59 }( 9, ·) \)	\( \chi_{ 59 }( 12, ·) \)	\( \chi_{ 59 }( 15, ·) \)
30	\( \chi_{ 31 }( 3, ·) \)	\( \chi_{ 31 }( 11, ·) \)	\( \chi_{ 31 }( 12, ·) \)	\( \chi_{ 31 }( 13, ·) \)	\( \chi_{ 31 }( 17, ·) \)	\( \chi_{ 31 }( 21, ·) \)	\( \chi_{ 31 }( 22, ·) \)
31	\( \chi_{ 311 }( 7, ·) \)	\( \chi_{ 311 }( 13, ·) \)	\( \chi_{ 311 }( 15, ·) \)	\( \chi_{ 311 }( 18, ·) \)	\( \chi_{ 311 }( 20, ·) \)	\( \chi_{ 311 }( 24, ·) \)	\( \chi_{ 311 }( 32, ·) \)
32	\( \chi_{ 97 }( 19, ·) \)	\( \chi_{ 97 }( 20, ·) \)	\( \chi_{ 97 }( 28, ·) \)	\( \chi_{ 97 }( 30, ·) \)	\( \chi_{ 97 }( 34, ·) \)	\( \chi_{ 97 }( 42, ·) \)	\( \chi_{ 97 }( 45, ·) \)
33	\( \chi_{ 67 }( 4, ·) \)	\( \chi_{ 67 }( 6, ·) \)	\( \chi_{ 67 }( 10, ·) \)	\( \chi_{ 67 }( 16, ·) \)	\( \chi_{ 67 }( 17, ·) \)	\( \chi_{ 67 }( 19, ·) \)	\( \chi_{ 67 }( 21, ·) \)
34	\( \chi_{ 103 }( 3, ·) \)	\( \chi_{ 103 }( 10, ·) \)	\( \chi_{ 103 }( 22, ·) \)	\( \chi_{ 103 }( 24, ·) \)	\( \chi_{ 103 }( 27, ·) \)	\( \chi_{ 103 }( 31, ·) \)	\( \chi_{ 103 }( 37, ·) \)
35	\( \chi_{ 71 }( 2, ·) \)	\( \chi_{ 71 }( 3, ·) \)	\( \chi_{ 71 }( 4, ·) \)	\( \chi_{ 71 }( 6, ·) \)	\( \chi_{ 71 }( 8, ·) \)	\( \chi_{ 71 }( 9, ·) \)	\( \chi_{ 71 }( 10, ·) \)
36	\( \chi_{ 37 }( 2, ·) \)	\( \chi_{ 37 }( 5, ·) \)	\( \chi_{ 37 }( 13, ·) \)	\( \chi_{ 37 }( 15, ·) \)	\( \chi_{ 37 }( 17, ·) \)	\( \chi_{ 37 }( 18, ·) \)	\( \chi_{ 37 }( 19, ·) \)
37	\( \chi_{ 149 }( 5, ·) \)	\( \chi_{ 149 }( 6, ·) \)	\( \chi_{ 149 }( 16, ·) \)	\( \chi_{ 149 }( 17, ·) \)	\( \chi_{ 149 }( 19, ·) \)	\( \chi_{ 149 }( 25, ·) \)	\( \chi_{ 149 }( 28, ·) \)
38	\( \chi_{ 191 }( 11, ·) \)	\( \chi_{ 191 }( 14, ·) \)	\( \chi_{ 191 }( 31, ·) \)	\( \chi_{ 191 }( 37, ·) \)	\( \chi_{ 191 }( 38, ·) \)	\( \chi_{ 191 }( 41, ·) \)	\( \chi_{ 191 }( 55, ·) \)
39	\( \chi_{ 79 }( 2, ·) \)	\( \chi_{ 79 }( 4, ·) \)	\( \chi_{ 79 }( 5, ·) \)	\( \chi_{ 79 }( 9, ·) \)	\( \chi_{ 79 }( 11, ·) \)	\( \chi_{ 79 }( 13, ·) \)	\( \chi_{ 79 }( 16, ·) \)
40	\( \chi_{ 41 }( 6, ·) \)	\( \chi_{ 41 }( 7, ·) \)	\( \chi_{ 41 }( 11, ·) \)	\( \chi_{ 41 }( 12, ·) \)	\( \chi_{ 41 }( 13, ·) \)	\( \chi_{ 41 }( 15, ·) \)	\( \chi_{ 41 }( 17, ·) \)