Properties

Modulus $518400$
Structure \(C_{2}\times C_{20}\times C_{54}\times C_{64}\)
Order $138240$

Learn more

Show commands: Pari/GP / SageMath

sage: H = DirichletGroup(518400)
 
pari: g = idealstar(,518400,2)
 

Character group

sage: G.order()
 
pari: g.no
 
Order = 138240
sage: H.invariants()
 
pari: g.cyc
 
Structure = \(C_{2}\times C_{20}\times C_{54}\times C_{64}\)
sage: H.gens()
 
pari: g.gen
 
Generators = $\chi_{518400}(157951,\cdot)$, $\chi_{518400}(202501,\cdot)$, $\chi_{518400}(6401,\cdot)$, $\chi_{518400}(331777,\cdot)$