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: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 3267.bt
\(\chi_{3267}(2,\cdot)\) \(\chi_{3267}(29,\cdot)\) \(\chi_{3267}(41,\cdot)\) \(\chi_{3267}(50,\cdot)\) \(\chi_{3267}(68,\cdot)\) \(\chi_{3267}(74,\cdot)\) \(\chi_{3267}(83,\cdot)\) \(\chi_{3267}(95,\cdot)\) \(\chi_{3267}(101,\cdot)\) \(\chi_{3267}(128,\cdot)\) \(\chi_{3267}(140,\cdot)\) \(\chi_{3267}(149,\cdot)\) \(\chi_{3267}(167,\cdot)\) \(\chi_{3267}(173,\cdot)\) \(\chi_{3267}(182,\cdot)\) \(\chi_{3267}(194,\cdot)\) \(\chi_{3267}(200,\cdot)\) \(\chi_{3267}(227,\cdot)\) \(\chi_{3267}(248,\cdot)\) \(\chi_{3267}(266,\cdot)\) \(\chi_{3267}(272,\cdot)\) \(\chi_{3267}(281,\cdot)\) \(\chi_{3267}(293,\cdot)\) \(\chi_{3267}(299,\cdot)\) \(\chi_{3267}(326,\cdot)\) \(\chi_{3267}(338,\cdot)\) \(\chi_{3267}(347,\cdot)\) \(\chi_{3267}(365,\cdot)\) \(\chi_{3267}(371,\cdot)\) \(\chi_{3267}(380,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{495})$ |
| Fixed field: | Number field defined by a degree 990 polynomial (not computed) |
Values on generators
\((3026,244)\) → \((e\left(\frac{11}{18}\right),e\left(\frac{39}{110}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(5\) | \(7\) | \(8\) | \(10\) | \(13\) | \(14\) | \(16\) | \(17\) |
| \( \chi_{ 3267 }(50, a) \) | \(1\) | \(1\) | \(e\left(\frac{478}{495}\right)\) | \(e\left(\frac{461}{495}\right)\) | \(e\left(\frac{289}{990}\right)\) | \(e\left(\frac{257}{990}\right)\) | \(e\left(\frac{148}{165}\right)\) | \(e\left(\frac{17}{66}\right)\) | \(e\left(\frac{691}{990}\right)\) | \(e\left(\frac{223}{990}\right)\) | \(e\left(\frac{427}{495}\right)\) | \(e\left(\frac{89}{165}\right)\) |