Dirichlet character χ2652(1919,⋅)\chi_{2652}(1919,\cdot)

• Label: 2652.1919
• Modulus: $2652$
• Conductor: $2652$
• Order: $8$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$2652$
Conductor:	$2652$
Order:	$8$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 2652.ct

$\chi_{2652}(359,\cdot)$ $\chi_{2652}(1487,\cdot)$ $\chi_{2652}(1919,\cdot)$ $\chi_{2652}(2423,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{8})$
Fixed field:	Number field defined by a degree 8 polynomial

Values on generators

$(1327,1769,613,1873)$ → $(-1,-1,i,e\left(\frac{3}{8}\right))$

First values

$a$	$-1$	$1$	$5$	$7$	$11$	$19$	$23$	$25$	$29$	$31$	$35$	$37$
$\chi_{ 2652 }(1919, a)$	$-1$	$1$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{3}{8}\right)$	$1$	$e\left(\frac{1}{8}\right)$	$i$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{1}{8}\right)$	$1$	$e\left(\frac{1}{8}\right)$