Dirichlet character χ2652(1835,⋅)\chi_{2652}(1835,\cdot)

• Label: 2652.1835
• Modulus: $2652$
• Conductor: $2652$
• Order: $12$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$2652$
Conductor:	$2652$
Order:	$12$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 2652.dc

$\chi_{2652}(1631,\cdot)$ $\chi_{2652}(1835,\cdot)$ $\chi_{2652}(2039,\cdot)$ $\chi_{2652}(2243,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{12})$
Fixed field:	12.0.129168875843701212129841152.1

Values on generators

$(1327,1769,613,1873)$ → $(-1,-1,e\left(\frac{1}{12}\right),-1)$

First values

$a$	$-1$	$1$	$5$	$7$	$11$	$19$	$23$	$25$	$29$	$31$	$35$	$37$
$\chi_{ 2652 }(1835, a)$	$-1$	$1$	$-i$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{1}{3}\right)$	$-1$	$e\left(\frac{1}{3}\right)$	$-i$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{12}\right)$