Basic properties
| Modulus: | \(764\) | |
| Conductor: | \(764\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(190\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
| 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 764.n
\(\chi_{764}(19,\cdot)\) \(\chi_{764}(35,\cdot)\) \(\chi_{764}(47,\cdot)\) \(\chi_{764}(63,\cdot)\) \(\chi_{764}(71,\cdot)\) \(\chi_{764}(83,\cdot)\) \(\chi_{764}(87,\cdot)\) \(\chi_{764}(91,\cdot)\) \(\chi_{764}(95,\cdot)\) \(\chi_{764}(99,\cdot)\) \(\chi_{764}(111,\cdot)\) \(\chi_{764}(119,\cdot)\) \(\chi_{764}(123,\cdot)\) \(\chi_{764}(127,\cdot)\) \(\chi_{764}(131,\cdot)\) \(\chi_{764}(143,\cdot)\) \(\chi_{764}(151,\cdot)\) \(\chi_{764}(167,\cdot)\) \(\chi_{764}(171,\cdot)\) \(\chi_{764}(175,\cdot)\) \(\chi_{764}(179,\cdot)\) \(\chi_{764}(183,\cdot)\) \(\chi_{764}(187,\cdot)\) \(\chi_{764}(219,\cdot)\) \(\chi_{764}(235,\cdot)\) \(\chi_{764}(247,\cdot)\) \(\chi_{764}(267,\cdot)\) \(\chi_{764}(279,\cdot)\) \(\chi_{764}(303,\cdot)\) \(\chi_{764}(307,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{95})$ |
| Fixed field: | Number field defined by a degree 190 polynomial (not computed) |
Values on generators
\((383,401)\) → \((-1,e\left(\frac{123}{190}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(3\) | \(5\) | \(7\) | \(9\) | \(11\) | \(13\) | \(15\) | \(17\) | \(19\) | \(21\) |
| \( \chi_{ 764 }(47, a) \) | \(1\) | \(1\) | \(e\left(\frac{113}{190}\right)\) | \(e\left(\frac{7}{19}\right)\) | \(e\left(\frac{1}{5}\right)\) | \(e\left(\frac{18}{95}\right)\) | \(e\left(\frac{10}{19}\right)\) | \(e\left(\frac{48}{95}\right)\) | \(e\left(\frac{183}{190}\right)\) | \(e\left(\frac{42}{95}\right)\) | \(e\left(\frac{14}{95}\right)\) | \(e\left(\frac{151}{190}\right)\) |