from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(2912, base_ring=CyclotomicField(12))
M = H._module
chi = DirichletCharacter(H, M([6,3,6,2]))
chi.galois_orbit()
[g,chi] = znchar(Mod(615,2912))
order = charorder(g,chi)
[ charpow(g,chi, k % order) | k <-[1..order-1], gcd(k,order)==1 ]
Basic properties
Modulus: | ||
Conductor: | sage: chi.conductor()
pari: znconreyconductor(g,chi)
| |
Order: | sage: chi.multiplicative_order()
pari: charorder(g,chi)
| |
Real: | no | |
Primitive: | no, induced from 1456.fw | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
Minimal: | no | |
Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Related number fields
Field of values: | |
Fixed field: | 12.12.139319407901086595617390592.1 |
Characters in Galois orbit
Character | ||||||||||||
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