Properties

Modulus $642816$
Structure \(C_{2}\times C_{30}\times C_{54}\times C_{64}\)
Order $207360$

Learn more

Show commands: PariGP / SageMath

sage: H = DirichletGroup(642816)
 
pari: g = idealstar(,642816,2)
 

Character group

sage: G.order()
 
pari: g.no
 
Order = 207360
sage: H.invariants()
 
pari: g.cyc
 
Structure = \(C_{2}\times C_{30}\times C_{54}\times C_{64}\)
sage: H.gens()
 
pari: g.gen
 
Generators = $\chi_{642816}(406783,\cdot)$, $\chi_{642816}(472069,\cdot)$, $\chi_{642816}(317441,\cdot)$, $\chi_{642816}(414721,\cdot)$