Properties

Modulus $6$
Structure \(C_{2}\)
Order $2$

Learn more

Show commands: Pari/GP / SageMath

sage: H = DirichletGroup(6)
 
pari: g = idealstar(,6,2)
 

Character group

sage: G.order()
 
pari: g.no
 
Order = 2
sage: H.invariants()
 
pari: g.cyc
 
Structure = \(C_{2}\)
sage: H.gens()
 
pari: g.gen
 
Generators = $\chi_{6}(5,\cdot)$

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 \(-1\) \(1\)
\(\chi_{6}(1,\cdot)\) 6.a 1 no \(1\) \(1\)
\(\chi_{6}(5,\cdot)\) 6.b 2 no \(-1\) \(1\)