Dirichlet character χ2548(1353,⋅)\chi_{2548}(1353,\cdot)

• Label: 2548.1353
• Modulus: $2548$
• Conductor: $7$
• Order: $3$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$2548$
Conductor:	$7$
Order:	$3$
Real:	no
Primitive:	no, induced from $\chi_{7}(2,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 2548.j

$\chi_{2548}(1145,\cdot)$ $\chi_{2548}(1353,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(\zeta_3)$
Fixed field:	$\Q(\zeta_{7})^+$

Values on generators

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

First values

$a$	$-1$	$1$	$3$	$5$	$9$	$11$	$15$	$17$	$19$	$23$	$25$	$27$
$\chi_{ 2548 }(1353, a)$	$1$	$1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$	$1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$	$1$