Properties

Modulus $87120$
Structure \(C_{2}\times C_{4}\times C_{6}\times C_{4}\times C_{110}\)
Order $21120$

Learn more

Show commands: Pari/GP / SageMath

sage: H = DirichletGroup(87120)
 
pari: g = idealstar(,87120,2)
 

Character group

sage: G.order()
 
pari: g.no
 
Order = 21120
sage: H.invariants()
 
pari: g.cyc
 
Structure = \(C_{2}\times C_{4}\times C_{6}\times C_{4}\times C_{110}\)
sage: H.gens()
 
pari: g.gen
 
Generators = $\chi_{87120}(32671,\cdot)$, $\chi_{87120}(21781,\cdot)$, $\chi_{87120}(19361,\cdot)$, $\chi_{87120}(69697,\cdot)$, $\chi_{87120}(14401,\cdot)$