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.fj
\(\chi_{9295}(203,\cdot)\) \(\chi_{9295}(317,\cdot)\) \(\chi_{9295}(333,\cdot)\) \(\chi_{9295}(642,\cdot)\) \(\chi_{9295}(658,\cdot)\) \(\chi_{9295}(707,\cdot)\) \(\chi_{9295}(918,\cdot)\) \(\chi_{9295}(983,\cdot)\) \(\chi_{9295}(1032,\cdot)\) \(\chi_{9295}(1048,\cdot)\) \(\chi_{9295}(1292,\cdot)\) \(\chi_{9295}(1357,\cdot)\) \(\chi_{9295}(1373,\cdot)\) \(\chi_{9295}(1633,\cdot)\) \(\chi_{9295}(1698,\cdot)\) \(\chi_{9295}(1747,\cdot)\) \(\chi_{9295}(1763,\cdot)\) \(\chi_{9295}(2007,\cdot)\) \(\chi_{9295}(2072,\cdot)\) \(\chi_{9295}(2088,\cdot)\) \(\chi_{9295}(2137,\cdot)\) \(\chi_{9295}(2348,\cdot)\) \(\chi_{9295}(2413,\cdot)\) \(\chi_{9295}(2462,\cdot)\) \(\chi_{9295}(2478,\cdot)\) \(\chi_{9295}(2722,\cdot)\) \(\chi_{9295}(2787,\cdot)\) \(\chi_{9295}(2852,\cdot)\) \(\chi_{9295}(3063,\cdot)\) \(\chi_{9295}(3128,\cdot)\) ...
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
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(12\) | \(14\) | \(16\) |
| \( \chi_{ 9295 }(203, a) \) | \(1\) | \(1\) | \(e\left(\frac{6}{65}\right)\) | \(e\left(\frac{77}{260}\right)\) | \(e\left(\frac{12}{65}\right)\) | \(e\left(\frac{101}{260}\right)\) | \(e\left(\frac{49}{130}\right)\) | \(e\left(\frac{18}{65}\right)\) | \(e\left(\frac{77}{130}\right)\) | \(e\left(\frac{25}{52}\right)\) | \(e\left(\frac{61}{130}\right)\) | \(e\left(\frac{24}{65}\right)\) |