Basic properties
Modulus: | \(4021\) | |
Conductor: | \(4021\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(804\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
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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 4021.t
\(\chi_{4021}(28,\cdot)\) \(\chi_{4021}(29,\cdot)\) \(\chi_{4021}(32,\cdot)\) \(\chi_{4021}(57,\cdot)\) \(\chi_{4021}(95,\cdot)\) \(\chi_{4021}(99,\cdot)\) \(\chi_{4021}(113,\cdot)\) \(\chi_{4021}(129,\cdot)\) \(\chi_{4021}(146,\cdot)\) \(\chi_{4021}(165,\cdot)\) \(\chi_{4021}(202,\cdot)\) \(\chi_{4021}(211,\cdot)\) \(\chi_{4021}(215,\cdot)\) \(\chi_{4021}(229,\cdot)\) \(\chi_{4021}(262,\cdot)\) \(\chi_{4021}(275,\cdot)\) \(\chi_{4021}(281,\cdot)\) \(\chi_{4021}(302,\cdot)\) \(\chi_{4021}(318,\cdot)\) \(\chi_{4021}(322,\cdot)\) \(\chi_{4021}(364,\cdot)\) \(\chi_{4021}(368,\cdot)\) \(\chi_{4021}(369,\cdot)\) \(\chi_{4021}(377,\cdot)\) \(\chi_{4021}(416,\cdot)\) \(\chi_{4021}(427,\cdot)\) \(\chi_{4021}(446,\cdot)\) \(\chi_{4021}(457,\cdot)\) \(\chi_{4021}(462,\cdot)\) \(\chi_{4021}(471,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{804})$ |
Fixed field: | Number field defined by a degree 804 polynomial (not computed) |
Values on generators
\(2\) → \(e\left(\frac{383}{804}\right)\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(11\) |
\( \chi_{ 4021 }(146, a) \) | \(-1\) | \(1\) | \(e\left(\frac{383}{804}\right)\) | \(e\left(\frac{97}{201}\right)\) | \(e\left(\frac{383}{402}\right)\) | \(e\left(\frac{124}{201}\right)\) | \(e\left(\frac{257}{268}\right)\) | \(i\) | \(e\left(\frac{115}{268}\right)\) | \(e\left(\frac{194}{201}\right)\) | \(e\left(\frac{25}{268}\right)\) | \(e\left(\frac{59}{804}\right)\) |