Dirichlet character χ1455(158,⋅)\chi_{1455}(158,\cdot)

• Label: 1455.158
• Modulus: $1455$
• Conductor: $1455$
• Order: $12$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$1455$
Conductor:	$1455$
Order:	$12$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 1455.bq

$\chi_{1455}(158,\cdot)$ $\chi_{1455}(617,\cdot)$ $\chi_{1455}(908,\cdot)$ $\chi_{1455}(1322,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{12})$
Fixed field:	12.12.11159158379493758923828125.1

Values on generators

$(971,292,781)$ → $(-1,-i,e\left(\frac{2}{3}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$19$
$\chi_{ 1455 }(158, a)$	$1$	$1$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{5}{12}\right)$	$-i$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{7}{12}\right)$	$-1$