Dirichlet character χ1455(811,⋅)\chi_{1455}(811,\cdot)

• Label: 1455.811
• Modulus: $1455$
• Conductor: $97$
• Order: $3$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$1455$
Conductor:	$97$
Order:	$3$
Real:	no
Primitive:	no, induced from $\chi_{97}(35,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 1455.i

$\chi_{1455}(61,\cdot)$ $\chi_{1455}(811,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(\zeta_3)$
Fixed field:	3.3.9409.1

Values on generators

$(971,292,781)$ → $(1,1,e\left(\frac{1}{3}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$19$
$\chi_{ 1455 }(811, a)$	$1$	$1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$	$1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$1$