Dirichlet character χ1920(953,⋅)\chi_{1920}(953,\cdot)

• Label: 1920.953
• Modulus: $1920$
• Conductor: $960$
• Order: $16$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$1920$
Conductor:	$960$
Order:	$16$
Real:	no
Primitive:	no, induced from $\chi_{960}(533,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 1920.cr

$\chi_{1920}(137,\cdot)$ $\chi_{1920}(473,\cdot)$ $\chi_{1920}(617,\cdot)$ $\chi_{1920}(953,\cdot)$ $\chi_{1920}(1097,\cdot)$ $\chi_{1920}(1433,\cdot)$ $\chi_{1920}(1577,\cdot)$ $\chi_{1920}(1913,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{16})$
Fixed field:	16.16.968232702940866945220608000000000000.1

Values on generators

$(511,901,641,1537)$ → $(1,e\left(\frac{13}{16}\right),-1,-i)$

First values

$a$	$-1$	$1$	$7$	$11$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$
$\chi_{ 1920 }(953, a)$	$1$	$1$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{9}{16}\right)$	$e\left(\frac{7}{16}\right)$	$1$	$e\left(\frac{3}{16}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{15}{16}\right)$	$-1$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{7}{8}\right)$