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.fb
\(\chi_{9295}(294,\cdot)\) \(\chi_{9295}(304,\cdot)\) \(\chi_{9295}(359,\cdot)\) \(\chi_{9295}(369,\cdot)\) \(\chi_{9295}(424,\cdot)\) \(\chi_{9295}(629,\cdot)\) \(\chi_{9295}(684,\cdot)\) \(\chi_{9295}(954,\cdot)\) \(\chi_{9295}(1009,\cdot)\) \(\chi_{9295}(1019,\cdot)\) \(\chi_{9295}(1074,\cdot)\) \(\chi_{9295}(1139,\cdot)\) \(\chi_{9295}(1344,\cdot)\) \(\chi_{9295}(1399,\cdot)\) \(\chi_{9295}(1669,\cdot)\) \(\chi_{9295}(1724,\cdot)\) \(\chi_{9295}(1734,\cdot)\) \(\chi_{9295}(1799,\cdot)\) \(\chi_{9295}(1854,\cdot)\) \(\chi_{9295}(2059,\cdot)\) \(\chi_{9295}(2114,\cdot)\) \(\chi_{9295}(2384,\cdot)\) \(\chi_{9295}(2439,\cdot)\) \(\chi_{9295}(2449,\cdot)\) \(\chi_{9295}(2504,\cdot)\) \(\chi_{9295}(2514,\cdot)\) \(\chi_{9295}(2569,\cdot)\) \(\chi_{9295}(2829,\cdot)\) \(\chi_{9295}(3099,\cdot)\) \(\chi_{9295}(3154,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{260})$ |
| Fixed field: | Number field defined by a degree 260 polynomial (not computed) |
Values on generators
\((7437,4226,6931)\) → \((-1,e\left(\frac{3}{10}\right),e\left(\frac{9}{52}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(12\) | \(14\) | \(16\) |
| \( \chi_{ 9295 }(294, a) \) | \(1\) | \(1\) | \(e\left(\frac{253}{260}\right)\) | \(e\left(\frac{47}{130}\right)\) | \(e\left(\frac{123}{130}\right)\) | \(e\left(\frac{87}{260}\right)\) | \(e\left(\frac{31}{260}\right)\) | \(e\left(\frac{239}{260}\right)\) | \(e\left(\frac{47}{65}\right)\) | \(e\left(\frac{4}{13}\right)\) | \(e\left(\frac{6}{65}\right)\) | \(e\left(\frac{58}{65}\right)\) |