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.fg
\(\chi_{9295}(233,\cdot)\) \(\chi_{9295}(272,\cdot)\) \(\chi_{9295}(402,\cdot)\) \(\chi_{9295}(558,\cdot)\) \(\chi_{9295}(623,\cdot)\) \(\chi_{9295}(662,\cdot)\) \(\chi_{9295}(688,\cdot)\) \(\chi_{9295}(948,\cdot)\) \(\chi_{9295}(987,\cdot)\) \(\chi_{9295}(1052,\cdot)\) \(\chi_{9295}(1117,\cdot)\) \(\chi_{9295}(1273,\cdot)\) \(\chi_{9295}(1338,\cdot)\) \(\chi_{9295}(1377,\cdot)\) \(\chi_{9295}(1403,\cdot)\) \(\chi_{9295}(1663,\cdot)\) \(\chi_{9295}(1702,\cdot)\) \(\chi_{9295}(1767,\cdot)\) \(\chi_{9295}(1832,\cdot)\) \(\chi_{9295}(1988,\cdot)\) \(\chi_{9295}(2053,\cdot)\) \(\chi_{9295}(2092,\cdot)\) \(\chi_{9295}(2118,\cdot)\) \(\chi_{9295}(2378,\cdot)\) \(\chi_{9295}(2417,\cdot)\) \(\chi_{9295}(2482,\cdot)\) \(\chi_{9295}(2547,\cdot)\) \(\chi_{9295}(2768,\cdot)\) \(\chi_{9295}(2807,\cdot)\) \(\chi_{9295}(2833,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{260})$ |
| Fixed field: | Number field defined by a degree 260 polynomial (not computed) |
Values on generators
\((7437,4226,6931)\) → \((-i,e\left(\frac{1}{10}\right),e\left(\frac{1}{26}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(12\) | \(14\) | \(16\) |
| \( \chi_{ 9295 }(233, a) \) | \(1\) | \(1\) | \(e\left(\frac{231}{260}\right)\) | \(e\left(\frac{213}{260}\right)\) | \(e\left(\frac{101}{130}\right)\) | \(e\left(\frac{46}{65}\right)\) | \(e\left(\frac{147}{260}\right)\) | \(e\left(\frac{173}{260}\right)\) | \(e\left(\frac{83}{130}\right)\) | \(e\left(\frac{31}{52}\right)\) | \(e\left(\frac{59}{130}\right)\) | \(e\left(\frac{36}{65}\right)\) |