Basic properties
| Modulus: | \(764\) | |
| Conductor: | \(191\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(190\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
| Real: | no | |
| Primitive: | no, induced from \(\chi_{191}(19,\cdot)\) | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
| Minimal: | yes | |
| Parity: | odd | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 764.p
\(\chi_{764}(21,\cdot)\) \(\chi_{764}(29,\cdot)\) \(\chi_{764}(33,\cdot)\) \(\chi_{764}(53,\cdot)\) \(\chi_{764}(57,\cdot)\) \(\chi_{764}(61,\cdot)\) \(\chi_{764}(73,\cdot)\) \(\chi_{764}(89,\cdot)\) \(\chi_{764}(93,\cdot)\) \(\chi_{764}(101,\cdot)\) \(\chi_{764}(105,\cdot)\) \(\chi_{764}(113,\cdot)\) \(\chi_{764}(137,\cdot)\) \(\chi_{764}(141,\cdot)\) \(\chi_{764}(145,\cdot)\) \(\chi_{764}(157,\cdot)\) \(\chi_{764}(165,\cdot)\) \(\chi_{764}(173,\cdot)\) \(\chi_{764}(181,\cdot)\) \(\chi_{764}(189,\cdot)\) \(\chi_{764}(213,\cdot)\) \(\chi_{764}(233,\cdot)\) \(\chi_{764}(249,\cdot)\) \(\chi_{764}(253,\cdot)\) \(\chi_{764}(265,\cdot)\) \(\chi_{764}(285,\cdot)\) \(\chi_{764}(297,\cdot)\) \(\chi_{764}(301,\cdot)\) \(\chi_{764}(305,\cdot)\) \(\chi_{764}(317,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{95})$ |
| Fixed field: | Number field defined by a degree 190 polynomial (not computed) |
Values on generators
\((383,401)\) → \((1,e\left(\frac{1}{190}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(3\) | \(5\) | \(7\) | \(9\) | \(11\) | \(13\) | \(15\) | \(17\) | \(19\) | \(21\) |
| \( \chi_{ 764 }(401, a) \) | \(-1\) | \(1\) | \(e\left(\frac{58}{95}\right)\) | \(e\left(\frac{5}{19}\right)\) | \(e\left(\frac{9}{10}\right)\) | \(e\left(\frac{21}{95}\right)\) | \(e\left(\frac{17}{38}\right)\) | \(e\left(\frac{56}{95}\right)\) | \(e\left(\frac{83}{95}\right)\) | \(e\left(\frac{49}{95}\right)\) | \(e\left(\frac{1}{190}\right)\) | \(e\left(\frac{97}{190}\right)\) |