Properties

Modulus $1142784$
Structure \(C_{2}\times C_{6}\times C_{30}\times C_{1024}\)
Order $368640$

Learn more

Show commands: PariGP / SageMath

sage: H = DirichletGroup(1142784)
 
pari: g = idealstar(,1142784,2)
 

Character group

sage: G.order()
 
pari: g.no
 
Order = 368640
sage: H.invariants()
 
pari: g.cyc
 
Structure = \(C_{2}\times C_{6}\times C_{30}\times C_{1024}\)
sage: H.gens()
 
pari: g.gen
 
Generators = $\chi_{1142784}(192511,\cdot)$, $\chi_{1142784}(757765,\cdot)$, $\chi_{1142784}(888833,\cdot)$, $\chi_{1142784}(700417,\cdot)$