H = DirichletGroup(246464504)
chi = H[61616125]
pari: [g,chi] = znchar(Mod(61616125,246464504))
Kronecker symbol representation
sage: kronecker_character(-246464504)
pari: znchartokronecker(g,chi)
\(\displaystyle\left(\frac{-246464504}{\bullet}\right)\)
Basic properties
| Modulus: | \(246464504\) | |
| Conductor: | \(246464504\) | 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 \\ if not primitive returns [cond,factorization]
|
| Parity: | odd | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Related number fields
| Field of values: | \(\Q\) |
Values on generators
\((61616127,123232253,156841049,113752849,86987473,168633609,53579241,212469401)\) → \((1,-1,-1,-1,-1,-1,-1,-1)\)
First values
| \(a\) | \(-1\) | \(1\) | \(3\) | \(5\) | \(7\) | \(9\) | \(15\) | \(21\) | \(25\) | \(27\) | \(31\) |
| \( \chi_{ 246464504 }(61616125, a) \) | \(-1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
sage: chi.jacobi_sum(n)