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.bv
\(\chi_{3267}(5,\cdot)\) \(\chi_{3267}(14,\cdot)\) \(\chi_{3267}(20,\cdot)\) \(\chi_{3267}(38,\cdot)\) \(\chi_{3267}(47,\cdot)\) \(\chi_{3267}(59,\cdot)\) \(\chi_{3267}(86,\cdot)\) \(\chi_{3267}(92,\cdot)\) \(\chi_{3267}(104,\cdot)\) \(\chi_{3267}(113,\cdot)\) \(\chi_{3267}(119,\cdot)\) \(\chi_{3267}(137,\cdot)\) \(\chi_{3267}(146,\cdot)\) \(\chi_{3267}(158,\cdot)\) \(\chi_{3267}(185,\cdot)\) \(\chi_{3267}(191,\cdot)\) \(\chi_{3267}(203,\cdot)\) \(\chi_{3267}(212,\cdot)\) \(\chi_{3267}(218,\cdot)\) \(\chi_{3267}(236,\cdot)\) \(\chi_{3267}(257,\cdot)\) \(\chi_{3267}(284,\cdot)\) \(\chi_{3267}(290,\cdot)\) \(\chi_{3267}(302,\cdot)\) \(\chi_{3267}(311,\cdot)\) \(\chi_{3267}(317,\cdot)\) \(\chi_{3267}(335,\cdot)\) \(\chi_{3267}(344,\cdot)\) \(\chi_{3267}(356,\cdot)\) \(\chi_{3267}(383,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{495})$ |
| Fixed field: | Number field defined by a degree 990 polynomial (not computed) |
Values on generators
\((3026,244)\) → \((e\left(\frac{7}{18}\right),e\left(\frac{14}{55}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(5\) | \(7\) | \(8\) | \(10\) | \(13\) | \(14\) | \(16\) | \(17\) |
| \( \chi_{ 3267 }(344, a) \) | \(-1\) | \(1\) | \(e\left(\frac{637}{990}\right)\) | \(e\left(\frac{142}{495}\right)\) | \(e\left(\frac{773}{990}\right)\) | \(e\left(\frac{2}{495}\right)\) | \(e\left(\frac{307}{330}\right)\) | \(e\left(\frac{14}{33}\right)\) | \(e\left(\frac{406}{495}\right)\) | \(e\left(\frac{641}{990}\right)\) | \(e\left(\frac{284}{495}\right)\) | \(e\left(\frac{101}{330}\right)\) |