Properties

Modulus $53312$
Structure \(C_{2}\times C_{16}\times C_{42}\times C_{16}\)
Order $21504$

Learn more about

Show commands for: Pari/GP / SageMath

sage: H = DirichletGroup(53312)
 
pari: g = idealstar(,53312,2)
 

Character group

sage: G.order()
 
pari: g.no
 
Order = 21504
sage: H.invariants()
 
pari: g.cyc
 
Structure = \(C_{2}\times C_{16}\times C_{42}\times C_{16}\)
sage: H.gens()
 
pari: g.gen
 
Generators = $\chi_{53312}(51647,\cdot)$, $\chi_{53312}(3333,\cdot)$, $\chi_{53312}(10881,\cdot)$, $\chi_{53312}(40769,\cdot)$