Basic properties
| Modulus: | \(9295\) | |
| Conductor: | \(9295\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(260\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
| Real: | no | |
| Primitive: | yes | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
| Minimal: | yes | |
| Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 9295.ez
\(\chi_{9295}(47,\cdot)\) \(\chi_{9295}(148,\cdot)\) \(\chi_{9295}(213,\cdot)\) \(\chi_{9295}(278,\cdot)\) \(\chi_{9295}(372,\cdot)\) \(\chi_{9295}(603,\cdot)\) \(\chi_{9295}(632,\cdot)\) \(\chi_{9295}(697,\cdot)\) \(\chi_{9295}(762,\cdot)\) \(\chi_{9295}(863,\cdot)\) \(\chi_{9295}(928,\cdot)\) \(\chi_{9295}(993,\cdot)\) \(\chi_{9295}(1087,\cdot)\) \(\chi_{9295}(1318,\cdot)\) \(\chi_{9295}(1347,\cdot)\) \(\chi_{9295}(1412,\cdot)\) \(\chi_{9295}(1477,\cdot)\) \(\chi_{9295}(1578,\cdot)\) \(\chi_{9295}(1643,\cdot)\) \(\chi_{9295}(1708,\cdot)\) \(\chi_{9295}(1802,\cdot)\) \(\chi_{9295}(2033,\cdot)\) \(\chi_{9295}(2062,\cdot)\) \(\chi_{9295}(2192,\cdot)\) \(\chi_{9295}(2293,\cdot)\) \(\chi_{9295}(2358,\cdot)\) \(\chi_{9295}(2423,\cdot)\) \(\chi_{9295}(2517,\cdot)\) \(\chi_{9295}(2748,\cdot)\) \(\chi_{9295}(2777,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{260})$ |
| Fixed field: | Number field defined by a degree 260 polynomial (not computed) |
Values on generators
\((7437,4226,6931)\) → \((i,e\left(\frac{2}{5}\right),e\left(\frac{49}{52}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(12\) | \(14\) | \(16\) |
| \( \chi_{ 9295 }(2062, a) \) | \(1\) | \(1\) | \(e\left(\frac{77}{130}\right)\) | \(e\left(\frac{207}{260}\right)\) | \(e\left(\frac{12}{65}\right)\) | \(e\left(\frac{101}{260}\right)\) | \(e\left(\frac{57}{65}\right)\) | \(e\left(\frac{101}{130}\right)\) | \(e\left(\frac{77}{130}\right)\) | \(e\left(\frac{51}{52}\right)\) | \(e\left(\frac{61}{130}\right)\) | \(e\left(\frac{24}{65}\right)\) |