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.fe
\(\chi_{9295}(118,\cdot)\) \(\chi_{9295}(183,\cdot)\) \(\chi_{9295}(222,\cdot)\) \(\chi_{9295}(248,\cdot)\) \(\chi_{9295}(547,\cdot)\) \(\chi_{9295}(612,\cdot)\) \(\chi_{9295}(833,\cdot)\) \(\chi_{9295}(898,\cdot)\) \(\chi_{9295}(937,\cdot)\) \(\chi_{9295}(963,\cdot)\) \(\chi_{9295}(1223,\cdot)\) \(\chi_{9295}(1262,\cdot)\) \(\chi_{9295}(1327,\cdot)\) \(\chi_{9295}(1392,\cdot)\) \(\chi_{9295}(1548,\cdot)\) \(\chi_{9295}(1613,\cdot)\) \(\chi_{9295}(1652,\cdot)\) \(\chi_{9295}(1678,\cdot)\) \(\chi_{9295}(1938,\cdot)\) \(\chi_{9295}(1977,\cdot)\) \(\chi_{9295}(2042,\cdot)\) \(\chi_{9295}(2107,\cdot)\) \(\chi_{9295}(2263,\cdot)\) \(\chi_{9295}(2328,\cdot)\) \(\chi_{9295}(2393,\cdot)\) \(\chi_{9295}(2653,\cdot)\) \(\chi_{9295}(2692,\cdot)\) \(\chi_{9295}(2757,\cdot)\) \(\chi_{9295}(2822,\cdot)\) \(\chi_{9295}(2978,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{260})$ |
| Fixed field: | Number field defined by a degree 260 polynomial (not computed) |
Values on generators
\((7437,4226,6931)\) → \((-i,e\left(\frac{3}{10}\right),e\left(\frac{3}{13}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(12\) | \(14\) | \(16\) |
| \( \chi_{ 9295 }(118, a) \) | \(1\) | \(1\) | \(e\left(\frac{73}{260}\right)\) | \(e\left(\frac{69}{260}\right)\) | \(e\left(\frac{73}{130}\right)\) | \(e\left(\frac{71}{130}\right)\) | \(e\left(\frac{141}{260}\right)\) | \(e\left(\frac{219}{260}\right)\) | \(e\left(\frac{69}{130}\right)\) | \(e\left(\frac{43}{52}\right)\) | \(e\left(\frac{107}{130}\right)\) | \(e\left(\frac{8}{65}\right)\) |