Dirichlet character χ4160(1893,⋅)\chi_{4160}(1893,\cdot)

• Label: 4160.1893
• Modulus: $4160$
• Conductor: $4160$
• Order: $16$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$4160$
Conductor:	$4160$
Order:	$16$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 4160.hv

$\chi_{4160}(317,\cdot)$ $\chi_{4160}(853,\cdot)$ $\chi_{4160}(1357,\cdot)$ $\chi_{4160}(1893,\cdot)$ $\chi_{4160}(2397,\cdot)$ $\chi_{4160}(2933,\cdot)$ $\chi_{4160}(3437,\cdot)$ $\chi_{4160}(3973,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{16})$
Fixed field:	16.16.3438190509295256478027799611834368000000000000.4

Values on generators

$(4031,261,2497,1601)$ → $(1,e\left(\frac{9}{16}\right),-i,i)$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$17$	$19$	$21$	$23$	$27$	$29$
$\chi_{ 4160 }(1893, a)$	$1$	$1$	$e\left(\frac{15}{16}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{9}{16}\right)$	$1$	$e\left(\frac{11}{16}\right)$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{13}{16}\right)$	$e\left(\frac{11}{16}\right)$