Dirichlet character χ3744(3649,⋅)\chi_{3744}(3649,\cdot)

• Label: 3744.3649
• Modulus: $3744$
• Conductor: $117$
• Order: $3$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$3744$
Conductor:	$117$
Order:	$3$
Real:	no
Primitive:	no, induced from $\chi_{117}(22,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 3744.r

$\chi_{3744}(1537,\cdot)$ $\chi_{3744}(3649,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(\zeta_3)$
Fixed field:	3.3.13689.1

Values on generators

$(703,2341,2081,2017)$ → $(1,1,e\left(\frac{1}{3}\right),e\left(\frac{2}{3}\right))$

First values

$a$	$-1$	$1$	$5$	$7$	$11$	$17$	$19$	$23$	$25$	$29$	$31$	$35$
$\chi_{ 3744 }(3649, a)$	$1$	$1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{2}{3}\right)$	$1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{3}\right)$	$1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$