sage:from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(24, base_ring=CyclotomicField(2))
M = H._module
chi = DirichletCharacter(H, M([0,1,1]))
chi.galois_orbit()
pari:[g,chi] = znchar(Mod(5,24))
order = charorder(g,chi)
[ charpow(g,chi, k % order) | k <-[1..order-1], gcd(k,order)==1 ]
sage:kronecker_character(-24)
pari:znchartokronecker(g,chi)
(∙−24)
Modulus: | 24 | |
Conductor: | 24 |
sage:chi.conductor()
pari:znconreyconductor(g,chi)
|
Order: | 2 |
sage:chi.multiplicative_order()
pari:charorder(g,chi)
|
Real: | yes |
Primitive: | yes |
sage:chi.is_primitive()
pari:#znconreyconductor(g,chi)==1
|
Minimal: | yes |
Parity: | odd |
sage:chi.is_odd()
pari:zncharisodd(g,chi)
|