Dirichlet character χ254(191,⋅)\chi_{254}(191,\cdot)

• Label: 254.191
• Modulus: $254$
• Conductor: $127$
• Order: $7$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$254$
Conductor:	$127$
Order:	$7$
Real:	no
Primitive:	no, induced from $\chi_{127}(64,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 254.e

$\chi_{254}(129,\cdot)$ $\chi_{254}(131,\cdot)$ $\chi_{254}(135,\cdot)$ $\chi_{254}(143,\cdot)$ $\chi_{254}(159,\cdot)$ $\chi_{254}(191,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{7})$
Fixed field:	7.7.4195872914689.1

Values on generators

$3$ → $e\left(\frac{3}{7}\right)$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$19$	$21$
$\chi_{ 254 }(191, a)$	$1$	$1$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{2}{7}\right)$	$1$	$e\left(\frac{5}{7}\right)$

Gauss sum

Jacobi sum

Kloosterman sum