Basic properties
| Modulus: | \(9295\) | |
| Conductor: | \(9295\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(130\) | 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.ef
\(\chi_{9295}(14,\cdot)\) \(\chi_{9295}(599,\cdot)\) \(\chi_{9295}(664,\cdot)\) \(\chi_{9295}(729,\cdot)\) \(\chi_{9295}(1054,\cdot)\) \(\chi_{9295}(1314,\cdot)\) \(\chi_{9295}(1379,\cdot)\) \(\chi_{9295}(1444,\cdot)\) \(\chi_{9295}(1769,\cdot)\) \(\chi_{9295}(2094,\cdot)\) \(\chi_{9295}(2159,\cdot)\) \(\chi_{9295}(2484,\cdot)\) \(\chi_{9295}(2744,\cdot)\) \(\chi_{9295}(2809,\cdot)\) \(\chi_{9295}(3199,\cdot)\) \(\chi_{9295}(3459,\cdot)\) \(\chi_{9295}(3524,\cdot)\) \(\chi_{9295}(3589,\cdot)\) \(\chi_{9295}(3914,\cdot)\) \(\chi_{9295}(4174,\cdot)\) \(\chi_{9295}(4239,\cdot)\) \(\chi_{9295}(4304,\cdot)\) \(\chi_{9295}(4629,\cdot)\) \(\chi_{9295}(4889,\cdot)\) \(\chi_{9295}(4954,\cdot)\) \(\chi_{9295}(5019,\cdot)\) \(\chi_{9295}(5344,\cdot)\) \(\chi_{9295}(5604,\cdot)\) \(\chi_{9295}(5669,\cdot)\) \(\chi_{9295}(5734,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{65})$ |
| Fixed field: | Number field defined by a degree 130 polynomial (not computed) |
Values on generators
\((7437,4226,6931)\) → \((-1,e\left(\frac{2}{5}\right),e\left(\frac{2}{13}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(12\) | \(14\) | \(16\) |
| \( \chi_{ 9295 }(3459, a) \) | \(1\) | \(1\) | \(e\left(\frac{7}{130}\right)\) | \(e\left(\frac{101}{130}\right)\) | \(e\left(\frac{7}{65}\right)\) | \(e\left(\frac{54}{65}\right)\) | \(e\left(\frac{99}{130}\right)\) | \(e\left(\frac{21}{130}\right)\) | \(e\left(\frac{36}{65}\right)\) | \(e\left(\frac{23}{26}\right)\) | \(e\left(\frac{53}{65}\right)\) | \(e\left(\frac{14}{65}\right)\) |