Dirichlet character χ2385(269,⋅)\chi_{2385}(269,\cdot)

• Label: 2385.269
• Modulus: $2385$
• Conductor: $795$
• Order: $26$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$2385$
Conductor:	$795$
Order:	$26$
Real:	no
Primitive:	no, induced from $\chi_{795}(269,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 2385.bv

$\chi_{2385}(269,\cdot)$ $\chi_{2385}(449,\cdot)$ $\chi_{2385}(494,\cdot)$ $\chi_{2385}(539,\cdot)$ $\chi_{2385}(674,\cdot)$ $\chi_{2385}(854,\cdot)$ $\chi_{2385}(944,\cdot)$ $\chi_{2385}(1124,\cdot)$ $\chi_{2385}(1259,\cdot)$ $\chi_{2385}(1574,\cdot)$ $\chi_{2385}(1619,\cdot)$ $\chi_{2385}(2339,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{13})$
Fixed field:	Number field defined by a degree 26 polynomial

Values on generators

$(1856,1432,1486)$ → $(-1,-1,e\left(\frac{1}{26}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$19$
$\chi_{ 2385 }(269, a)$	$-1$	$1$	$e\left(\frac{1}{26}\right)$	$e\left(\frac{1}{13}\right)$	$e\left(\frac{1}{26}\right)$	$e\left(\frac{3}{26}\right)$	$e\left(\frac{19}{26}\right)$	$e\left(\frac{11}{26}\right)$	$e\left(\frac{1}{13}\right)$	$e\left(\frac{2}{13}\right)$	$e\left(\frac{5}{13}\right)$	$e\left(\frac{11}{26}\right)$