Basic properties
| Modulus: | \(3021\) | |
| Conductor: | \(3021\) | 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: | odd | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 3021.cs
\(\chi_{3021}(2,\cdot)\) \(\chi_{3021}(14,\cdot)\) \(\chi_{3021}(32,\cdot)\) \(\chi_{3021}(41,\cdot)\) \(\chi_{3021}(71,\cdot)\) \(\chi_{3021}(86,\cdot)\) \(\chi_{3021}(98,\cdot)\) \(\chi_{3021}(128,\cdot)\) \(\chi_{3021}(167,\cdot)\) \(\chi_{3021}(173,\cdot)\) \(\chi_{3021}(185,\cdot)\) \(\chi_{3021}(200,\cdot)\) \(\chi_{3021}(224,\cdot)\) \(\chi_{3021}(230,\cdot)\) \(\chi_{3021}(257,\cdot)\) \(\chi_{3021}(260,\cdot)\) \(\chi_{3021}(287,\cdot)\) \(\chi_{3021}(299,\cdot)\) \(\chi_{3021}(326,\cdot)\) \(\chi_{3021}(338,\cdot)\) \(\chi_{3021}(344,\cdot)\) \(\chi_{3021}(374,\cdot)\) \(\chi_{3021}(383,\cdot)\) \(\chi_{3021}(458,\cdot)\) \(\chi_{3021}(485,\cdot)\) \(\chi_{3021}(497,\cdot)\) \(\chi_{3021}(509,\cdot)\) \(\chi_{3021}(527,\cdot)\) \(\chi_{3021}(542,\cdot)\) \(\chi_{3021}(602,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{468})$ |
| Fixed field: | Number field defined by a degree 468 polynomial (not computed) |
Values on generators
\((2015,1750,2281)\) → \((-1,e\left(\frac{13}{18}\right),e\left(\frac{49}{52}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(5\) | \(7\) | \(8\) | \(10\) | \(11\) | \(13\) | \(14\) | \(16\) |
| \( \chi_{ 3021 }(497, a) \) | \(-1\) | \(1\) | \(e\left(\frac{77}{468}\right)\) | \(e\left(\frac{77}{234}\right)\) | \(e\left(\frac{161}{468}\right)\) | \(e\left(\frac{41}{78}\right)\) | \(e\left(\frac{77}{156}\right)\) | \(e\left(\frac{119}{234}\right)\) | \(e\left(\frac{32}{39}\right)\) | \(e\left(\frac{53}{234}\right)\) | \(e\left(\frac{323}{468}\right)\) | \(e\left(\frac{77}{117}\right)\) |