Properties

Modulus 286650
Structure \(C_{6}\times C_{20}\times C_{42}\times C_{12}\)
Order 60480

Learn more about

Show commands for: Pari/GP / SageMath

sage: from dirichlet_conrey import DirichletGroup_conrey # requires nonstandard Sage package to be installed
 
sage: H = DirichletGroup_conrey(286650)
 
pari: g = idealstar(,286650,2)
 

Character group

sage: G.order()
 
pari: g.no
 
Order = 60480
sage: H.invariants()
 
pari: g.cyc
 
Structure = \(C_{6}\times C_{20}\times C_{42}\times C_{12}\)
sage: H.gens()
 
pari: g.gen
 
Generators = $\chi_{286650}(254801,\cdot)$, $\chi_{286650}(126127,\cdot)$, $\chi_{286650}(76051,\cdot)$, $\chi_{286650}(154351,\cdot)$