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Properties

Modulus $1080000$
Structure \(C_{2}\times C_{16}\times C_{18}\times C_{500}\)
Order $288000$

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Show commands: Pari/GP / SageMath

Copy content sage:H = DirichletGroup(1080000)
 
Copy content pari:g = idealstar(,1080000,2)
 

Character group

Copy content sage:G.order()
 
Copy content pari:g.no
 
Order = 288000
Copy content sage:H.invariants()
 
Copy content pari:g.cyc
 
Structure = \(C_{2}\times C_{16}\times C_{18}\times C_{500}\)
Copy content sage:H.gens()
 
Copy content pari:g.gen
 
Generators = $\chi_{1080000}(978751,\cdot)$, $\chi_{1080000}(202501,\cdot)$, $\chi_{1080000}(1000001,\cdot)$, $\chi_{1080000}(29377,\cdot)$