Properties

Modulus 3
Structure \(C_{2}\)
Order 2

Learn more about

Show commands for: SageMath / Pari/GP

sage: from dirichlet_conrey import DirichletGroup_conrey # requires nonstandard Sage package to be installed
 
sage: H = DirichletGroup_conrey(3)
 
pari: g = idealstar(,3,2)
 

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 = $\chi_{3}(2,\cdot)$

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.

orbit label order primitive -1 1
\(\chi_{3}(1,\cdot)\) 3.a 1 No \(1\) \(1\)
\(\chi_{3}(2,\cdot)\) 3.b 2 Yes \(-1\) \(1\)