# 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 $$-1$$ $$1$$