Basic properties
Modulus: | \(4235\) | |
Conductor: | \(4235\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(660\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
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.dq
\(\chi_{4235}(37,\cdot)\) \(\chi_{4235}(53,\cdot)\) \(\chi_{4235}(58,\cdot)\) \(\chi_{4235}(93,\cdot)\) \(\chi_{4235}(102,\cdot)\) \(\chi_{4235}(137,\cdot)\) \(\chi_{4235}(158,\cdot)\) \(\chi_{4235}(163,\cdot)\) \(\chi_{4235}(207,\cdot)\) \(\chi_{4235}(212,\cdot)\) \(\chi_{4235}(247,\cdot)\) \(\chi_{4235}(268,\cdot)\) \(\chi_{4235}(312,\cdot)\) \(\chi_{4235}(317,\cdot)\) \(\chi_{4235}(333,\cdot)\) \(\chi_{4235}(368,\cdot)\) \(\chi_{4235}(422,\cdot)\) \(\chi_{4235}(438,\cdot)\) \(\chi_{4235}(443,\cdot)\) \(\chi_{4235}(478,\cdot)\) \(\chi_{4235}(522,\cdot)\) \(\chi_{4235}(543,\cdot)\) \(\chi_{4235}(548,\cdot)\) \(\chi_{4235}(592,\cdot)\) \(\chi_{4235}(597,\cdot)\) \(\chi_{4235}(653,\cdot)\) \(\chi_{4235}(697,\cdot)\) \(\chi_{4235}(702,\cdot)\) \(\chi_{4235}(718,\cdot)\) \(\chi_{4235}(823,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{660})$ |
Fixed field: | Number field defined by a degree 660 polynomial (not computed) |
Values on generators
\((2542,1816,2906)\) → \((-i,e\left(\frac{2}{3}\right),e\left(\frac{4}{55}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(8\) | \(9\) | \(12\) | \(13\) | \(16\) | \(17\) |
\( \chi_{ 4235 }(1103, a) \) | \(-1\) | \(1\) | \(e\left(\frac{103}{660}\right)\) | \(e\left(\frac{19}{60}\right)\) | \(e\left(\frac{103}{330}\right)\) | \(e\left(\frac{26}{55}\right)\) | \(e\left(\frac{103}{220}\right)\) | \(e\left(\frac{19}{30}\right)\) | \(e\left(\frac{83}{132}\right)\) | \(e\left(\frac{131}{220}\right)\) | \(e\left(\frac{103}{165}\right)\) | \(e\left(\frac{647}{660}\right)\) |