Basic properties
| Modulus: | \(3267\) | |
| Conductor: | \(3267\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(990\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
| Real: | no | |
| Primitive: | yes | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
| Minimal: | yes | |
| Parity: | odd | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 3267.bu
\(\chi_{3267}(7,\cdot)\) \(\chi_{3267}(13,\cdot)\) \(\chi_{3267}(52,\cdot)\) \(\chi_{3267}(61,\cdot)\) \(\chi_{3267}(79,\cdot)\) \(\chi_{3267}(85,\cdot)\) \(\chi_{3267}(106,\cdot)\) \(\chi_{3267}(139,\cdot)\) \(\chi_{3267}(151,\cdot)\) \(\chi_{3267}(160,\cdot)\) \(\chi_{3267}(178,\cdot)\) \(\chi_{3267}(184,\cdot)\) \(\chi_{3267}(193,\cdot)\) \(\chi_{3267}(205,\cdot)\) \(\chi_{3267}(211,\cdot)\) \(\chi_{3267}(238,\cdot)\) \(\chi_{3267}(250,\cdot)\) \(\chi_{3267}(259,\cdot)\) \(\chi_{3267}(277,\cdot)\) \(\chi_{3267}(283,\cdot)\) \(\chi_{3267}(292,\cdot)\) \(\chi_{3267}(304,\cdot)\) \(\chi_{3267}(310,\cdot)\) \(\chi_{3267}(337,\cdot)\) \(\chi_{3267}(349,\cdot)\) \(\chi_{3267}(358,\cdot)\) \(\chi_{3267}(376,\cdot)\) \(\chi_{3267}(382,\cdot)\) \(\chi_{3267}(391,\cdot)\) \(\chi_{3267}(409,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{495})$ |
| Fixed field: | Number field defined by a degree 990 polynomial (not computed) |
Values on generators
\((3026,244)\) → \((e\left(\frac{4}{9}\right),e\left(\frac{101}{110}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(5\) | \(7\) | \(8\) | \(10\) | \(13\) | \(14\) | \(16\) | \(17\) |
| \( \chi_{ 3267 }(13, a) \) | \(-1\) | \(1\) | \(e\left(\frac{359}{990}\right)\) | \(e\left(\frac{359}{495}\right)\) | \(e\left(\frac{83}{495}\right)\) | \(e\left(\frac{533}{990}\right)\) | \(e\left(\frac{29}{330}\right)\) | \(e\left(\frac{35}{66}\right)\) | \(e\left(\frac{289}{990}\right)\) | \(e\left(\frac{446}{495}\right)\) | \(e\left(\frac{223}{495}\right)\) | \(e\left(\frac{217}{330}\right)\) |