Properties

Modulus 100010
Structure \(C_{4}\times C_{72}\times C_{136}\)
Order 39168

Learn more about

Show commands for: SageMath / Pari/GP

sage: from dirichlet_conrey import DirichletGroup_conrey # requires nonstandard Sage package to be installed
 
sage: H = DirichletGroup_conrey(100010)
 
pari: g = idealstar(,100010,2)
 

Character group

sage: G.order()
 
pari: g.no
 
Order = 39168
sage: H.invariants()
 
pari: g.cyc
 
Structure = \(C_{4}\times C_{72}\times C_{136}\)
sage: H.gens()
 
pari: g.gen
 
Generators = $\chi_{100010}(60007,\cdot)$, $\chi_{100010}(64391,\cdot)$, $\chi_{100010}(97821,\cdot)$