Dirichlet character χ2652(2195,⋅)\chi_{2652}(2195,\cdot)

• Label: 2652.2195
• Modulus: $2652$
• Conductor: $2652$
• Order: $24$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$2652$
Conductor:	$2652$
Order:	$24$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 2652.ei

$\chi_{2652}(383,\cdot)$ $\chi_{2652}(587,\cdot)$ $\chi_{2652}(1103,\cdot)$ $\chi_{2652}(1307,\cdot)$ $\chi_{2652}(2099,\cdot)$ $\chi_{2652}(2195,\cdot)$ $\chi_{2652}(2303,\cdot)$ $\chi_{2652}(2399,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{24})$
Fixed field:	Number field defined by a degree 24 polynomial

Values on generators

$(1327,1769,613,1873)$ → $(-1,-1,e\left(\frac{7}{12}\right),e\left(\frac{7}{8}\right))$

First values

$a$	$-1$	$1$	$5$	$7$	$11$	$19$	$23$	$25$	$29$	$31$	$35$	$37$
$\chi_{ 2652 }(2195, a)$	$-1$	$1$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{13}{24}\right)$	$e\left(\frac{5}{24}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{23}{24}\right)$	$i$	$e\left(\frac{5}{24}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{23}{24}\right)$