Dirichlet character χ3960(2749,⋅)\chi_{3960}(2749,\cdot)

• Label: 3960.2749
• Modulus: $3960$
• Conductor: $3960$
• Order: $6$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$3960$
Conductor:	$3960$
Order:	$6$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 3960.cm

$\chi_{3960}(1429,\cdot)$ $\chi_{3960}(2749,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(\zeta_3)$
Fixed field:	6.0.558892224000.14

Values on generators

$(991,1981,3521,2377,2521)$ → $(1,-1,e\left(\frac{1}{3}\right),-1,-1)$

First values

$a$	$-1$	$1$	$7$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$	$43$
$\chi_{ 3960 }(2749, a)$	$-1$	$1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{6}\right)$	$1$	$1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{5}{6}\right)$