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Properties

Modulus $2$
Structure \(C_1\)
Order $1$

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Show commands: Magma / Pari/GP / SageMath

Copy content comment:Define the Dirichlet group
 
Copy content sage:G = DirichletGroup(2)
 
Copy content gp:g = idealstar(,2,2)
 
Copy content magma:G = FullDirichletGroup(2);
 

Character group

Order = 1
Copy content comment:Order
 
Copy content sage:G.order()
 
Copy content gp:g.no
 
Copy content magma:Order(G);
 
Structure = \(C_1\)
Copy content comment:Group structure
 
Copy content sage:sorted(g.order() for g in G.gens())
 
Copy content gp:g.cyc
 
Copy content magma:PrimaryInvariants(G);
 

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