Basic properties
| Modulus: | \(8021\) | |
| Conductor: | \(8021\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(924\) | 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 8021.ed
\(\chi_{8021}(30,\cdot)\) \(\chi_{8021}(56,\cdot)\) \(\chi_{8021}(82,\cdot)\) \(\chi_{8021}(88,\cdot)\) \(\chi_{8021}(251,\cdot)\) \(\chi_{8021}(296,\cdot)\) \(\chi_{8021}(303,\cdot)\) \(\chi_{8021}(316,\cdot)\) \(\chi_{8021}(348,\cdot)\) \(\chi_{8021}(387,\cdot)\) \(\chi_{8021}(459,\cdot)\) \(\chi_{8021}(472,\cdot)\) \(\chi_{8021}(530,\cdot)\) \(\chi_{8021}(543,\cdot)\) \(\chi_{8021}(576,\cdot)\) \(\chi_{8021}(589,\cdot)\) \(\chi_{8021}(595,\cdot)\) \(\chi_{8021}(608,\cdot)\) \(\chi_{8021}(628,\cdot)\) \(\chi_{8021}(647,\cdot)\) \(\chi_{8021}(654,\cdot)\) \(\chi_{8021}(667,\cdot)\) \(\chi_{8021}(673,\cdot)\) \(\chi_{8021}(693,\cdot)\) \(\chi_{8021}(699,\cdot)\) \(\chi_{8021}(732,\cdot)\) \(\chi_{8021}(868,\cdot)\) \(\chi_{8021}(920,\cdot)\) \(\chi_{8021}(933,\cdot)\) \(\chi_{8021}(1005,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{924})$ |
| Fixed field: | Number field defined by a degree 924 polynomial (not computed) |
Values on generators
\((6788,2471)\) → \((e\left(\frac{1}{6}\right),e\left(\frac{67}{308}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(11\) |
| \( \chi_{ 8021 }(30, a) \) | \(1\) | \(1\) | \(e\left(\frac{125}{462}\right)\) | \(e\left(\frac{817}{924}\right)\) | \(e\left(\frac{125}{231}\right)\) | \(e\left(\frac{101}{308}\right)\) | \(e\left(\frac{13}{84}\right)\) | \(e\left(\frac{167}{231}\right)\) | \(e\left(\frac{125}{154}\right)\) | \(e\left(\frac{355}{462}\right)\) | \(e\left(\frac{79}{132}\right)\) | \(e\left(\frac{223}{231}\right)\) |