H = DirichletGroup(2695275)
chi = H[1]
pari: [g,chi] = znchar(Mod(1,2695275))
Basic properties
| Modulus: | \(2695275\) | |
| Conductor: | \(1\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(1\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
| Real: | yes | |
| Primitive: | no, induced from \(\chi_{1}(0,\cdot)\) | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1 \\ if not primitive returns [cond,factorization]
|
| Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Related number fields
| Field of values: | \(\Q\) |
Values on generators
\((166376,1724977,803926)\) → \((1,1,1)\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(13\) | \(14\) | \(16\) | \(17\) | \(19\) |
| \( \chi_{ 2695275 }(1, a) \) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
sage: chi.jacobi_sum(n)