Dirichlet character χ1455(16,⋅)\chi_{1455}(16,\cdot)

• Label: 1455.16
• Modulus: $1455$
• Conductor: $97$
• Order: $12$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$1455$
Conductor:	$97$
Order:	$12$
Real:	no
Primitive:	no, induced from $\chi_{97}(16,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 1455.bv

$\chi_{1455}(16,\cdot)$ $\chi_{1455}(91,\cdot)$ $\chi_{1455}(976,\cdot)$ $\chi_{1455}(1051,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{12})$
Fixed field:	12.12.7153014030880804126753.1

Values on generators

$(971,292,781)$ → $(1,1,e\left(\frac{5}{12}\right))$

First values

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