Dirichlet character χ4368(3865,⋅)\chi_{4368}(3865,\cdot)

• Label: 4368.3865
• Modulus: $4368$
• Conductor: $104$
• Order: $6$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$4368$
Conductor:	$104$
Order:	$6$
Real:	no
Primitive:	no, induced from $\chi_{104}(69,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 4368.hm

$\chi_{4368}(2857,\cdot)$ $\chi_{4368}(3865,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(\zeta_3)$
Fixed field:	6.6.190102016.1

Values on generators

$(3823,1093,1457,1249,2017)$ → $(1,-1,1,1,e\left(\frac{1}{6}\right))$

First values

$a$	$-1$	$1$	$5$	$11$	$17$	$19$	$23$	$25$	$29$	$31$	$37$	$41$
$\chi_{ 4368 }(3865, a)$	$1$	$1$	$1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$1$	$e\left(\frac{1}{6}\right)$	$-1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{6}\right)$