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: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 3021.ct
\(\chi_{3021}(5,\cdot)\) \(\chi_{3021}(35,\cdot)\) \(\chi_{3021}(74,\cdot)\) \(\chi_{3021}(80,\cdot)\) \(\chi_{3021}(92,\cdot)\) \(\chi_{3021}(101,\cdot)\) \(\chi_{3021}(104,\cdot)\) \(\chi_{3021}(137,\cdot)\) \(\chi_{3021}(161,\cdot)\) \(\chi_{3021}(194,\cdot)\) \(\chi_{3021}(215,\cdot)\) \(\chi_{3021}(233,\cdot)\) \(\chi_{3021}(245,\cdot)\) \(\chi_{3021}(251,\cdot)\) \(\chi_{3021}(263,\cdot)\) \(\chi_{3021}(320,\cdot)\) \(\chi_{3021}(332,\cdot)\) \(\chi_{3021}(359,\cdot)\) \(\chi_{3021}(389,\cdot)\) \(\chi_{3021}(404,\cdot)\) \(\chi_{3021}(416,\cdot)\) \(\chi_{3021}(422,\cdot)\) \(\chi_{3021}(443,\cdot)\) \(\chi_{3021}(446,\cdot)\) \(\chi_{3021}(479,\cdot)\) \(\chi_{3021}(491,\cdot)\) \(\chi_{3021}(503,\cdot)\) \(\chi_{3021}(518,\cdot)\) \(\chi_{3021}(548,\cdot)\) \(\chi_{3021}(557,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{468})$ |
Fixed field: | Number field defined by a degree 468 polynomial (not computed) |
Values on generators
\((2015,1750,2281)\) → \((-1,e\left(\frac{8}{9}\right),e\left(\frac{47}{52}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(5\) | \(7\) | \(8\) | \(10\) | \(11\) | \(13\) | \(14\) | \(16\) |
\( \chi_{ 3021 }(5, a) \) | \(1\) | \(1\) | \(e\left(\frac{137}{468}\right)\) | \(e\left(\frac{137}{234}\right)\) | \(e\left(\frac{95}{468}\right)\) | \(e\left(\frac{77}{78}\right)\) | \(e\left(\frac{137}{156}\right)\) | \(e\left(\frac{58}{117}\right)\) | \(e\left(\frac{23}{39}\right)\) | \(e\left(\frac{16}{117}\right)\) | \(e\left(\frac{131}{468}\right)\) | \(e\left(\frac{20}{117}\right)\) |