Group of Dirichlet characters of modulus 3

• Modulus: $3$
• Structure: \(C_{2}\)
• Order: $2$

Character group

Order	=	2
Structure	=	\(C_{2}\)
Generators	=	$\chi_{3}(2,\cdot)$

Characters

Each row describes a character. When available, the columns show the orbit label, order of the character, whether the character is primitive, and several values of the character.

Character	Orbit	Order	Primitive	\(-1\)	\(1\)
\(\chi_{3}(1,\cdot)\)	3.a	1	no	\(1\)	\(1\)
\(\chi_{3}(2,\cdot)\)	3.b	2	yes	\(-1\)	\(1\)