Basic properties
| Modulus: | \(764\) | |
| Conductor: | \(191\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(95\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
| Real: | no | |
| Primitive: | no, induced from \(\chi_{191}(45,\cdot)\) | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
| Minimal: | yes | |
| Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 764.m
\(\chi_{764}(9,\cdot)\) \(\chi_{764}(13,\cdot)\) \(\chi_{764}(17,\cdot)\) \(\chi_{764}(45,\cdot)\) \(\chi_{764}(65,\cdot)\) \(\chi_{764}(77,\cdot)\) \(\chi_{764}(81,\cdot)\) \(\chi_{764}(85,\cdot)\) \(\chi_{764}(97,\cdot)\) \(\chi_{764}(117,\cdot)\) \(\chi_{764}(129,\cdot)\) \(\chi_{764}(133,\cdot)\) \(\chi_{764}(149,\cdot)\) \(\chi_{764}(169,\cdot)\) \(\chi_{764}(193,\cdot)\) \(\chi_{764}(201,\cdot)\) \(\chi_{764}(209,\cdot)\) \(\chi_{764}(217,\cdot)\) \(\chi_{764}(225,\cdot)\) \(\chi_{764}(237,\cdot)\) \(\chi_{764}(241,\cdot)\) \(\chi_{764}(245,\cdot)\) \(\chi_{764}(269,\cdot)\) \(\chi_{764}(277,\cdot)\) \(\chi_{764}(281,\cdot)\) \(\chi_{764}(289,\cdot)\) \(\chi_{764}(293,\cdot)\) \(\chi_{764}(309,\cdot)\) \(\chi_{764}(321,\cdot)\) \(\chi_{764}(325,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{95})$ |
| Fixed field: | Number field defined by a degree 95 polynomial |
Values on generators
\((383,401)\) → \((1,e\left(\frac{46}{95}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(3\) | \(5\) | \(7\) | \(9\) | \(11\) | \(13\) | \(15\) | \(17\) | \(19\) | \(21\) |
| \( \chi_{ 764 }(45, a) \) | \(1\) | \(1\) | \(e\left(\frac{16}{95}\right)\) | \(e\left(\frac{4}{19}\right)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{32}{95}\right)\) | \(e\left(\frac{3}{19}\right)\) | \(e\left(\frac{22}{95}\right)\) | \(e\left(\frac{36}{95}\right)\) | \(e\left(\frac{43}{95}\right)\) | \(e\left(\frac{46}{95}\right)\) | \(e\left(\frac{92}{95}\right)\) |