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Properties

Modulus $4460544$
Structure \(C_{2}\times C_{6}\times C_{110}\times C_{1024}\)
Order $1351680$

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Show commands: Magma / Pari/GP / SageMath

Copy content comment:Define the Dirichlet group
 
Copy content sage:G = DirichletGroup(4460544)
 
Copy content gp:g = idealstar(,4460544,2)
 
Copy content magma:G = FullDirichletGroup(4460544);
 

Character group

Order = 1351680
Copy content comment:Order
 
Copy content sage:G.order()
 
Copy content gp:g.no
 
Copy content magma:Order(G);
 
Structure = \(C_{2}\times C_{6}\times C_{110}\times C_{1024}\)
Copy content comment:Group structure
 
Copy content sage:sorted(g.order() for g in G.gens())
 
Copy content gp:g.cyc
 
Copy content magma:PrimaryInvariants(G);
 
Generators = $\chi_{4460544}(2367487,\cdot)$, $\chi_{4460544}(4186117,\cdot)$, $\chi_{4460544}(3469313,\cdot)$, $\chi_{4460544}(2174977,\cdot)$
Copy content comment:Generators
 
Copy content sage:G.gens()
 
Copy content gp:g.gen
 
Copy content magma:Generators(G);