Basic properties
| Modulus: | \(3267\) | |
| Conductor: | \(3267\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(495\) | 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 3267.bs
\(\chi_{3267}(4,\cdot)\) \(\chi_{3267}(16,\cdot)\) \(\chi_{3267}(25,\cdot)\) \(\chi_{3267}(31,\cdot)\) \(\chi_{3267}(49,\cdot)\) \(\chi_{3267}(58,\cdot)\) \(\chi_{3267}(70,\cdot)\) \(\chi_{3267}(97,\cdot)\) \(\chi_{3267}(103,\cdot)\) \(\chi_{3267}(115,\cdot)\) \(\chi_{3267}(157,\cdot)\) \(\chi_{3267}(169,\cdot)\) \(\chi_{3267}(196,\cdot)\) \(\chi_{3267}(214,\cdot)\) \(\chi_{3267}(223,\cdot)\) \(\chi_{3267}(229,\cdot)\) \(\chi_{3267}(247,\cdot)\) \(\chi_{3267}(256,\cdot)\) \(\chi_{3267}(268,\cdot)\) \(\chi_{3267}(295,\cdot)\) \(\chi_{3267}(301,\cdot)\) \(\chi_{3267}(313,\cdot)\) \(\chi_{3267}(322,\cdot)\) \(\chi_{3267}(328,\cdot)\) \(\chi_{3267}(346,\cdot)\) \(\chi_{3267}(355,\cdot)\) \(\chi_{3267}(367,\cdot)\) \(\chi_{3267}(394,\cdot)\) \(\chi_{3267}(400,\cdot)\) \(\chi_{3267}(412,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{495})$ |
| Fixed field: | Number field defined by a degree 495 polynomial (not computed) |
Values on generators
\((3026,244)\) → \((e\left(\frac{2}{9}\right),e\left(\frac{2}{55}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(5\) | \(7\) | \(8\) | \(10\) | \(13\) | \(14\) | \(16\) | \(17\) |
| \( \chi_{ 3267 }(16, a) \) | \(1\) | \(1\) | \(e\left(\frac{128}{495}\right)\) | \(e\left(\frac{256}{495}\right)\) | \(e\left(\frac{397}{495}\right)\) | \(e\left(\frac{401}{495}\right)\) | \(e\left(\frac{128}{165}\right)\) | \(e\left(\frac{2}{33}\right)\) | \(e\left(\frac{223}{495}\right)\) | \(e\left(\frac{34}{495}\right)\) | \(e\left(\frac{17}{495}\right)\) | \(e\left(\frac{19}{165}\right)\) |