Basic properties
| Modulus: | \(3267\) | |
| Conductor: | \(3267\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(99\) | 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.bh
\(\chi_{3267}(34,\cdot)\) \(\chi_{3267}(67,\cdot)\) \(\chi_{3267}(133,\cdot)\) \(\chi_{3267}(166,\cdot)\) \(\chi_{3267}(232,\cdot)\) \(\chi_{3267}(265,\cdot)\) \(\chi_{3267}(331,\cdot)\) \(\chi_{3267}(430,\cdot)\) \(\chi_{3267}(463,\cdot)\) \(\chi_{3267}(529,\cdot)\) \(\chi_{3267}(562,\cdot)\) \(\chi_{3267}(628,\cdot)\) \(\chi_{3267}(661,\cdot)\) \(\chi_{3267}(760,\cdot)\) \(\chi_{3267}(826,\cdot)\) \(\chi_{3267}(859,\cdot)\) \(\chi_{3267}(925,\cdot)\) \(\chi_{3267}(958,\cdot)\) \(\chi_{3267}(1024,\cdot)\) \(\chi_{3267}(1057,\cdot)\) \(\chi_{3267}(1123,\cdot)\) \(\chi_{3267}(1156,\cdot)\) \(\chi_{3267}(1222,\cdot)\) \(\chi_{3267}(1255,\cdot)\) \(\chi_{3267}(1321,\cdot)\) \(\chi_{3267}(1354,\cdot)\) \(\chi_{3267}(1420,\cdot)\) \(\chi_{3267}(1519,\cdot)\) \(\chi_{3267}(1552,\cdot)\) \(\chi_{3267}(1618,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{99})$ |
| Fixed field: | Number field defined by a degree 99 polynomial |
Values on generators
\((3026,244)\) → \((e\left(\frac{8}{9}\right),e\left(\frac{5}{11}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(5\) | \(7\) | \(8\) | \(10\) | \(13\) | \(14\) | \(16\) | \(17\) |
| \( \chi_{ 3267 }(34, a) \) | \(1\) | \(1\) | \(e\left(\frac{34}{99}\right)\) | \(e\left(\frac{68}{99}\right)\) | \(e\left(\frac{8}{99}\right)\) | \(e\left(\frac{40}{99}\right)\) | \(e\left(\frac{1}{33}\right)\) | \(e\left(\frac{14}{33}\right)\) | \(e\left(\frac{2}{99}\right)\) | \(e\left(\frac{74}{99}\right)\) | \(e\left(\frac{37}{99}\right)\) | \(e\left(\frac{20}{33}\right)\) |