Dirichlet character χ8788(8735,⋅)\chi_{8788}(8735,\cdot)

• Label: 8788.8735
• Modulus: $8788$
• Conductor: $8788$
• Order: $338$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$8788$
Conductor:	$8788$
Order:	$338$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 8788.z

$\chi_{8788}(51,\cdot)$ $\chi_{8788}(103,\cdot)$ $\chi_{8788}(155,\cdot)$ $\chi_{8788}(207,\cdot)$ $\chi_{8788}(259,\cdot)$ $\chi_{8788}(311,\cdot)$ $\chi_{8788}(363,\cdot)$ $\chi_{8788}(415,\cdot)$ $\chi_{8788}(467,\cdot)$ $\chi_{8788}(519,\cdot)$ $\chi_{8788}(571,\cdot)$ $\chi_{8788}(623,\cdot)$ $\chi_{8788}(727,\cdot)$ $\chi_{8788}(779,\cdot)$ $\chi_{8788}(831,\cdot)$ $\chi_{8788}(883,\cdot)$ $\chi_{8788}(935,\cdot)$ $\chi_{8788}(987,\cdot)$ $\chi_{8788}(1039,\cdot)$ $\chi_{8788}(1091,\cdot)$ $\chi_{8788}(1143,\cdot)$ $\chi_{8788}(1195,\cdot)$ $\chi_{8788}(1247,\cdot)$ $\chi_{8788}(1299,\cdot)$ $\chi_{8788}(1403,\cdot)$ $\chi_{8788}(1455,\cdot)$ $\chi_{8788}(1507,\cdot)$ $\chi_{8788}(1559,\cdot)$ $\chi_{8788}(1611,\cdot)$ $\chi_{8788}(1663,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{169})$
Fixed field:	Number field defined by a degree 338 polynomial (not computed)

Values on generators

$(4395,6593)$ → $(-1,e\left(\frac{215}{338}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$15$	$17$	$19$	$21$	$23$
$\chi_{ 8788 }(8735, a)$	$-1$	$1$	$e\left(\frac{49}{338}\right)$	$e\left(\frac{297}{338}\right)$	$e\left(\frac{147}{169}\right)$	$e\left(\frac{49}{169}\right)$	$e\left(\frac{81}{169}\right)$	$e\left(\frac{4}{169}\right)$	$e\left(\frac{95}{169}\right)$	$e\left(\frac{5}{13}\right)$	$e\left(\frac{5}{338}\right)$	$e\left(\frac{17}{26}\right)$