Properties

Label 1.a
Modulus $1$
Conductor $1$
Order $1$
Real yes
Primitive yes
Minimal yes
Parity even

Related objects

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Show commands: Pari/GP / SageMath

Basic properties

Modulus: \(1\)
Conductor: \(1\)
sage: chi.conductor()
 
pari: znconreyconductor(g,chi)
 
Order: \(1\)
sage: chi.multiplicative_order()
 
pari: charorder(g,chi)
 
Real: yes
Primitive: yes
sage: chi.is_primitive()
 
pari: #znconreyconductor(g,chi)==1
 
Minimal: yes
Parity: even
sage: chi.is_odd()
 
pari: zncharisodd(g,chi)
 

Related number fields

Field of values: \(\Q\)
Fixed field: \(\Q\)