Dirichlet character χ1920(1327,⋅)\chi_{1920}(1327,\cdot)

• Label: 1920.1327
• Modulus: $1920$
• Conductor: $160$
• Order: $8$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$1920$
Conductor:	$160$
Order:	$8$
Real:	no
Primitive:	no, induced from $\chi_{160}(67,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 1920.bo

$\chi_{1920}(367,\cdot)$ $\chi_{1920}(463,\cdot)$ $\chi_{1920}(1327,\cdot)$ $\chi_{1920}(1423,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{8})$
Fixed field:	8.8.33554432000000.2

Values on generators

$(511,901,641,1537)$ → $(-1,e\left(\frac{3}{8}\right),1,i)$

First values

$a$	$-1$	$1$	$7$	$11$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$
$\chi_{ 1920 }(1327, a)$	$1$	$1$	$-1$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{3}{8}\right)$	$-i$	$e\left(\frac{5}{8}\right)$	$-1$	$e\left(\frac{5}{8}\right)$	$-1$	$e\left(\frac{5}{8}\right)$	$i$