Properties

Modulus $323400$
Structure \(C_{2}\times C_{2}\times C_{2}\times C_{10}\times C_{20}\times C_{42}\)
Order $67200$

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Show commands: PariGP / SageMath

sage: H = DirichletGroup(323400)
 
pari: g = idealstar(,323400,2)
 

Character group

sage: G.order()
 
pari: g.no
 
Order = 67200
sage: H.invariants()
 
pari: g.cyc
 
Structure = \(C_{2}\times C_{2}\times C_{2}\times C_{10}\times C_{20}\times C_{42}\)
sage: H.gens()
 
pari: g.gen
 
Generators = $\chi_{323400}(242551,\cdot)$, $\chi_{323400}(161701,\cdot)$, $\chi_{323400}(107801,\cdot)$, $\chi_{323400}(206977,\cdot)$, $\chi_{323400}(171601,\cdot)$, $\chi_{323400}(205801,\cdot)$