Properties

Modulus $78400$
Structure \(C_{2}\times C_{16}\times C_{20}\times C_{42}\)
Order $26880$

Learn more

Show commands: Pari/GP / SageMath

sage: H = DirichletGroup(78400)
 
pari: g = idealstar(,78400,2)
 

Character group

sage: G.order()
 
pari: g.no
 
Order = 26880
sage: H.invariants()
 
pari: g.cyc
 
Structure = \(C_{2}\times C_{16}\times C_{20}\times C_{42}\)
sage: H.gens()
 
pari: g.gen
 
Generators = $\chi_{78400}(17151,\cdot)$, $\chi_{78400}(44101,\cdot)$, $\chi_{78400}(50177,\cdot)$, $\chi_{78400}(73601,\cdot)$