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: | odd | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 4235.di
\(\chi_{4235}(39,\cdot)\) \(\chi_{4235}(74,\cdot)\) \(\chi_{4235}(79,\cdot)\) \(\chi_{4235}(149,\cdot)\) \(\chi_{4235}(184,\cdot)\) \(\chi_{4235}(249,\cdot)\) \(\chi_{4235}(359,\cdot)\) \(\chi_{4235}(424,\cdot)\) \(\chi_{4235}(459,\cdot)\) \(\chi_{4235}(464,\cdot)\) \(\chi_{4235}(534,\cdot)\) \(\chi_{4235}(569,\cdot)\) \(\chi_{4235}(634,\cdot)\) \(\chi_{4235}(739,\cdot)\) \(\chi_{4235}(744,\cdot)\) \(\chi_{4235}(809,\cdot)\) \(\chi_{4235}(849,\cdot)\) \(\chi_{4235}(919,\cdot)\) \(\chi_{4235}(954,\cdot)\) \(\chi_{4235}(1019,\cdot)\) \(\chi_{4235}(1124,\cdot)\) \(\chi_{4235}(1194,\cdot)\) \(\chi_{4235}(1229,\cdot)\) \(\chi_{4235}(1234,\cdot)\) \(\chi_{4235}(1339,\cdot)\) \(\chi_{4235}(1404,\cdot)\) \(\chi_{4235}(1509,\cdot)\) \(\chi_{4235}(1514,\cdot)\) \(\chi_{4235}(1579,\cdot)\) \(\chi_{4235}(1614,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{165})$ |
Fixed field: | Number field defined by a degree 330 polynomial (not computed) |
Values on generators
\((2542,1816,2906)\) → \((-1,e\left(\frac{1}{3}\right),e\left(\frac{93}{110}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(8\) | \(9\) | \(12\) | \(13\) | \(16\) | \(17\) |
\( \chi_{ 4235 }(2879, a) \) | \(-1\) | \(1\) | \(e\left(\frac{2}{165}\right)\) | \(e\left(\frac{7}{30}\right)\) | \(e\left(\frac{4}{165}\right)\) | \(e\left(\frac{27}{110}\right)\) | \(e\left(\frac{2}{55}\right)\) | \(e\left(\frac{7}{15}\right)\) | \(e\left(\frac{17}{66}\right)\) | \(e\left(\frac{49}{55}\right)\) | \(e\left(\frac{8}{165}\right)\) | \(e\left(\frac{43}{165}\right)\) |