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.fw
\(\chi_{9295}(17,\cdot)\) \(\chi_{9295}(62,\cdot)\) \(\chi_{9295}(127,\cdot)\) \(\chi_{9295}(173,\cdot)\) \(\chi_{9295}(238,\cdot)\) \(\chi_{9295}(277,\cdot)\) \(\chi_{9295}(283,\cdot)\) \(\chi_{9295}(303,\cdot)\) \(\chi_{9295}(348,\cdot)\) \(\chi_{9295}(387,\cdot)\) \(\chi_{9295}(413,\cdot)\) \(\chi_{9295}(563,\cdot)\) \(\chi_{9295}(602,\cdot)\) \(\chi_{9295}(667,\cdot)\) \(\chi_{9295}(673,\cdot)\) \(\chi_{9295}(712,\cdot)\) \(\chi_{9295}(732,\cdot)\) \(\chi_{9295}(777,\cdot)\) \(\chi_{9295}(842,\cdot)\) \(\chi_{9295}(888,\cdot)\) \(\chi_{9295}(953,\cdot)\) \(\chi_{9295}(998,\cdot)\) \(\chi_{9295}(1018,\cdot)\) \(\chi_{9295}(1063,\cdot)\) \(\chi_{9295}(1102,\cdot)\) \(\chi_{9295}(1128,\cdot)\) \(\chi_{9295}(1278,\cdot)\) \(\chi_{9295}(1317,\cdot)\) \(\chi_{9295}(1382,\cdot)\) \(\chi_{9295}(1388,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{780})$ |
| Fixed field: | Number field defined by a degree 780 polynomial (not computed) |
Values on generators
\((7437,4226,6931)\) → \((i,e\left(\frac{9}{10}\right),e\left(\frac{73}{78}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(12\) | \(14\) | \(16\) |
| \( \chi_{ 9295 }(17, a) \) | \(1\) | \(1\) | \(e\left(\frac{67}{780}\right)\) | \(e\left(\frac{1}{780}\right)\) | \(e\left(\frac{67}{390}\right)\) | \(e\left(\frac{17}{195}\right)\) | \(e\left(\frac{539}{780}\right)\) | \(e\left(\frac{67}{260}\right)\) | \(e\left(\frac{1}{390}\right)\) | \(e\left(\frac{9}{52}\right)\) | \(e\left(\frac{101}{130}\right)\) | \(e\left(\frac{67}{195}\right)\) |