Dirichlet character χ2548(361,⋅)\chi_{2548}(361,\cdot)

• Label: 2548.361
• Modulus: $2548$
• Conductor: $91$
• Order: $6$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$2548$
Conductor:	$91$
Order:	$6$
Real:	no
Primitive:	no, induced from $\chi_{91}(88,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 2548.bq

$\chi_{2548}(361,\cdot)$ $\chi_{2548}(1941,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(\zeta_3)$
Fixed field:	6.6.891474493.2

Values on generators

$(1275,885,197)$ → $(1,e\left(\frac{2}{3}\right),e\left(\frac{5}{6}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$9$	$11$	$15$	$17$	$19$	$23$	$25$	$27$
$\chi_{ 2548 }(361, a)$	$1$	$1$	$1$	$e\left(\frac{5}{6}\right)$	$1$	$-1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{3}\right)$	$-1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{2}{3}\right)$	$1$