Basic properties
| Modulus: | \(4028\) | |
| Conductor: | \(4028\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(468\) | 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 4028.ct
\(\chi_{4028}(35,\cdot)\) \(\chi_{4028}(55,\cdot)\) \(\chi_{4028}(111,\cdot)\) \(\chi_{4028}(139,\cdot)\) \(\chi_{4028}(207,\cdot)\) \(\chi_{4028}(215,\cdot)\) \(\chi_{4028}(251,\cdot)\) \(\chi_{4028}(263,\cdot)\) \(\chi_{4028}(283,\cdot)\) \(\chi_{4028}(291,\cdot)\) \(\chi_{4028}(339,\cdot)\) \(\chi_{4028}(351,\cdot)\) \(\chi_{4028}(359,\cdot)\) \(\chi_{4028}(403,\cdot)\) \(\chi_{4028}(427,\cdot)\) \(\chi_{4028}(443,\cdot)\) \(\chi_{4028}(479,\cdot)\) \(\chi_{4028}(491,\cdot)\) \(\chi_{4028}(499,\cdot)\) \(\chi_{4028}(503,\cdot)\) \(\chi_{4028}(511,\cdot)\) \(\chi_{4028}(575,\cdot)\) \(\chi_{4028}(595,\cdot)\) \(\chi_{4028}(631,\cdot)\) \(\chi_{4028}(655,\cdot)\) \(\chi_{4028}(663,\cdot)\) \(\chi_{4028}(671,\cdot)\) \(\chi_{4028}(707,\cdot)\) \(\chi_{4028}(739,\cdot)\) \(\chi_{4028}(747,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{468})$ |
| Fixed field: | Number field defined by a degree 468 polynomial (not computed) |
Values on generators
\((2015,2757,2281)\) → \((-1,e\left(\frac{2}{9}\right),e\left(\frac{9}{52}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(3\) | \(5\) | \(7\) | \(9\) | \(11\) | \(13\) | \(15\) | \(17\) | \(21\) | \(23\) |
| \( \chi_{ 4028 }(35, a) \) | \(1\) | \(1\) | \(e\left(\frac{155}{468}\right)\) | \(e\left(\frac{323}{468}\right)\) | \(e\left(\frac{10}{39}\right)\) | \(e\left(\frac{155}{234}\right)\) | \(e\left(\frac{8}{39}\right)\) | \(e\left(\frac{31}{117}\right)\) | \(e\left(\frac{5}{234}\right)\) | \(e\left(\frac{223}{234}\right)\) | \(e\left(\frac{275}{468}\right)\) | \(e\left(\frac{25}{36}\right)\) |