Properties

Modulus $119952$
Structure \(C_{2}\times C_{4}\times C_{6}\times C_{42}\times C_{16}\)
Order $32256$

Learn more

Show commands: Pari/GP / SageMath

sage: H = DirichletGroup(119952)
 
pari: g = idealstar(,119952,2)
 

Character group

sage: G.order()
 
pari: g.no
 
Order = 32256
sage: H.invariants()
 
pari: g.cyc
 
Structure = \(C_{2}\times C_{4}\times C_{6}\times C_{42}\times C_{16}\)
sage: H.gens()
 
pari: g.gen
 
Generators = $\chi_{119952}(104959,\cdot)$, $\chi_{119952}(29989,\cdot)$, $\chi_{119952}(106625,\cdot)$, $\chi_{119952}(117505,\cdot)$, $\chi_{119952}(14113,\cdot)$