Basic properties
| Modulus: | \(9295\) | |
| Conductor: | \(9295\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(780\) | 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.fy
\(\chi_{9295}(68,\cdot)\) \(\chi_{9295}(107,\cdot)\) \(\chi_{9295}(172,\cdot)\) \(\chi_{9295}(178,\cdot)\) \(\chi_{9295}(217,\cdot)\) \(\chi_{9295}(237,\cdot)\) \(\chi_{9295}(282,\cdot)\) \(\chi_{9295}(347,\cdot)\) \(\chi_{9295}(393,\cdot)\) \(\chi_{9295}(458,\cdot)\) \(\chi_{9295}(497,\cdot)\) \(\chi_{9295}(503,\cdot)\) \(\chi_{9295}(523,\cdot)\) \(\chi_{9295}(568,\cdot)\) \(\chi_{9295}(607,\cdot)\) \(\chi_{9295}(633,\cdot)\) \(\chi_{9295}(783,\cdot)\) \(\chi_{9295}(887,\cdot)\) \(\chi_{9295}(893,\cdot)\) \(\chi_{9295}(932,\cdot)\) \(\chi_{9295}(952,\cdot)\) \(\chi_{9295}(997,\cdot)\) \(\chi_{9295}(1062,\cdot)\) \(\chi_{9295}(1108,\cdot)\) \(\chi_{9295}(1173,\cdot)\) \(\chi_{9295}(1212,\cdot)\) \(\chi_{9295}(1218,\cdot)\) \(\chi_{9295}(1238,\cdot)\) \(\chi_{9295}(1283,\cdot)\) \(\chi_{9295}(1322,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{780})$ |
| Fixed field: | Number field defined by a degree 780 polynomial (not computed) |
Values on generators
\((7437,4226,6931)\) → \((-i,e\left(\frac{1}{10}\right),e\left(\frac{37}{39}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(12\) | \(14\) | \(16\) |
| \( \chi_{ 9295 }(68, a) \) | \(1\) | \(1\) | \(e\left(\frac{623}{780}\right)\) | \(e\left(\frac{539}{780}\right)\) | \(e\left(\frac{233}{390}\right)\) | \(e\left(\frac{191}{390}\right)\) | \(e\left(\frac{751}{780}\right)\) | \(e\left(\frac{103}{260}\right)\) | \(e\left(\frac{149}{390}\right)\) | \(e\left(\frac{15}{52}\right)\) | \(e\left(\frac{99}{130}\right)\) | \(e\left(\frac{38}{195}\right)\) |