Basic properties
Modulus: | \(4235\) | |
Conductor: | \(4235\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(330\) | 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: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 4235.dj
\(\chi_{4235}(19,\cdot)\) \(\chi_{4235}(24,\cdot)\) \(\chi_{4235}(129,\cdot)\) \(\chi_{4235}(194,\cdot)\) \(\chi_{4235}(299,\cdot)\) \(\chi_{4235}(304,\cdot)\) \(\chi_{4235}(369,\cdot)\) \(\chi_{4235}(404,\cdot)\) \(\chi_{4235}(409,\cdot)\) \(\chi_{4235}(479,\cdot)\) \(\chi_{4235}(514,\cdot)\) \(\chi_{4235}(579,\cdot)\) \(\chi_{4235}(684,\cdot)\) \(\chi_{4235}(689,\cdot)\) \(\chi_{4235}(754,\cdot)\) \(\chi_{4235}(789,\cdot)\) \(\chi_{4235}(794,\cdot)\) \(\chi_{4235}(864,\cdot)\) \(\chi_{4235}(899,\cdot)\) \(\chi_{4235}(964,\cdot)\) \(\chi_{4235}(1069,\cdot)\) \(\chi_{4235}(1074,\cdot)\) \(\chi_{4235}(1139,\cdot)\) \(\chi_{4235}(1174,\cdot)\) \(\chi_{4235}(1179,\cdot)\) \(\chi_{4235}(1249,\cdot)\) \(\chi_{4235}(1284,\cdot)\) \(\chi_{4235}(1349,\cdot)\) \(\chi_{4235}(1454,\cdot)\) \(\chi_{4235}(1459,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{165})$ |
Fixed field: | Number field defined by a degree 330 polynomial (not computed) |
Values on generators
\((2542,1816,2906)\) → \((-1,e\left(\frac{1}{6}\right),e\left(\frac{19}{110}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(8\) | \(9\) | \(12\) | \(13\) | \(16\) | \(17\) |
\( \chi_{ 4235 }(479, a) \) | \(1\) | \(1\) | \(e\left(\frac{1}{165}\right)\) | \(e\left(\frac{13}{15}\right)\) | \(e\left(\frac{2}{165}\right)\) | \(e\left(\frac{48}{55}\right)\) | \(e\left(\frac{1}{55}\right)\) | \(e\left(\frac{11}{15}\right)\) | \(e\left(\frac{29}{33}\right)\) | \(e\left(\frac{49}{110}\right)\) | \(e\left(\frac{4}{165}\right)\) | \(e\left(\frac{43}{330}\right)\) |