Dirichlet Characters of Conductor 41-60

• Imprimitive

• Primitive

The table below displays Dirichlet characters of a given conductor.

Conductor	Characters
41	\( \chi_{ 41 }( 2, ·) \)	\( \chi_{ 41 }( 3, ·) \)	\( \chi_{ 41 }( 4, ·) \)	\( \chi_{ 41 }( 5, ·) \)	\( \chi_{ 41 }( 6, ·) \)	\( \chi_{ 41 }( 7, ·) \)	\( \chi_{ 41 }( 8, ·) \)
42
43	\( \chi_{ 43 }( 2, ·) \)	\( \chi_{ 43 }( 3, ·) \)	\( \chi_{ 43 }( 4, ·) \)	\( \chi_{ 43 }( 5, ·) \)	\( \chi_{ 43 }( 6, ·) \)	\( \chi_{ 43 }( 7, ·) \)	\( \chi_{ 43 }( 8, ·) \)
44	\( \chi_{ 44 }( 3, ·) \)	\( \chi_{ 44 }( 7, ·) \)	\( \chi_{ 44 }( 15, ·) \)	\( \chi_{ 44 }( 19, ·) \)	\( \chi_{ 44 }( 27, ·) \)	\( \chi_{ 44 }( 31, ·) \)	\( \chi_{ 44 }( 35, ·) \)
45	\( \chi_{ 45 }( 2, ·) \)	\( \chi_{ 45 }( 4, ·) \)	\( \chi_{ 45 }( 7, ·) \)	\( \chi_{ 45 }( 13, ·) \)	\( \chi_{ 45 }( 14, ·) \)	\( \chi_{ 45 }( 22, ·) \)	\( \chi_{ 45 }( 23, ·) \)
46
47	\( \chi_{ 47 }( 2, ·) \)	\( \chi_{ 47 }( 3, ·) \)	\( \chi_{ 47 }( 4, ·) \)	\( \chi_{ 47 }( 5, ·) \)	\( \chi_{ 47 }( 6, ·) \)	\( \chi_{ 47 }( 7, ·) \)	\( \chi_{ 47 }( 8, ·) \)
48	\( \chi_{ 48 }( 5, ·) \)	\( \chi_{ 48 }( 11, ·) \)	\( \chi_{ 48 }( 29, ·) \)	\( \chi_{ 48 }( 35, ·) \)	\( \chi_{ 96 }( 5, ·) \)	\( \chi_{ 96 }( 11, ·) \)	\( \chi_{ 96 }( 29, ·) \)
49	\( \chi_{ 49 }( 2, ·) \)	\( \chi_{ 49 }( 3, ·) \)	\( \chi_{ 49 }( 4, ·) \)	\( \chi_{ 49 }( 5, ·) \)	\( \chi_{ 49 }( 6, ·) \)	\( \chi_{ 49 }( 8, ·) \)	\( \chi_{ 49 }( 9, ·) \)
50
51	\( \chi_{ 51 }( 2, ·) \)	\( \chi_{ 51 }( 5, ·) \)	\( \chi_{ 51 }( 8, ·) \)	\( \chi_{ 51 }( 11, ·) \)	\( \chi_{ 51 }( 14, ·) \)	\( \chi_{ 51 }( 20, ·) \)	\( \chi_{ 51 }( 23, ·) \)
52	\( \chi_{ 52 }( 3, ·) \)	\( \chi_{ 52 }( 7, ·) \)	\( \chi_{ 52 }( 11, ·) \)	\( \chi_{ 52 }( 15, ·) \)	\( \chi_{ 52 }( 19, ·) \)	\( \chi_{ 52 }( 23, ·) \)	\( \chi_{ 52 }( 31, ·) \)
53	\( \chi_{ 53 }( 2, ·) \)	\( \chi_{ 53 }( 3, ·) \)	\( \chi_{ 53 }( 4, ·) \)	\( \chi_{ 53 }( 5, ·) \)	\( \chi_{ 53 }( 6, ·) \)	\( \chi_{ 53 }( 7, ·) \)	\( \chi_{ 53 }( 8, ·) \)
54
55	\( \chi_{ 55 }( 2, ·) \)	\( \chi_{ 55 }( 3, ·) \)	\( \chi_{ 55 }( 4, ·) \)	\( \chi_{ 55 }( 7, ·) \)	\( \chi_{ 55 }( 8, ·) \)	\( \chi_{ 55 }( 9, ·) \)	\( \chi_{ 55 }( 13, ·) \)
56	\( \chi_{ 56 }( 3, ·) \)	\( \chi_{ 56 }( 5, ·) \)	\( \chi_{ 56 }( 11, ·) \)	\(\displaystyle\left(\frac{-56}{\bullet}\right)\) (mod 56)	\( \chi_{ 56 }( 19, ·) \)	\(\displaystyle\left(\frac{56}{\bullet}\right)\) (mod 56)	\( \chi_{ 56 }( 37, ·) \)
57	\( \chi_{ 57 }( 2, ·) \)	\( \chi_{ 57 }( 5, ·) \)	\( \chi_{ 57 }( 8, ·) \)	\( \chi_{ 57 }( 11, ·) \)	\( \chi_{ 57 }( 14, ·) \)	\( \chi_{ 57 }( 17, ·) \)	\( \chi_{ 57 }( 23, ·) \)
58
59	\( \chi_{ 59 }( 2, ·) \)	\( \chi_{ 59 }( 3, ·) \)	\( \chi_{ 59 }( 4, ·) \)	\( \chi_{ 59 }( 5, ·) \)	\( \chi_{ 59 }( 6, ·) \)	\( \chi_{ 59 }( 7, ·) \)	\( \chi_{ 59 }( 8, ·) \)
60	\( \chi_{ 60 }( 23, ·) \)	\( \chi_{ 60 }( 47, ·) \)	\(\displaystyle\left(\frac{60}{\bullet}\right)\) (mod 60)	\(\displaystyle\left(\frac{-120}{\bullet}\right)\) (mod 120)	\( \chi_{ 120 }( 53, ·) \)	\(\displaystyle\left(\frac{120}{\bullet}\right)\) (mod 120)	\( \chi_{ 120 }( 77, ·) \)