Dirichlet character χ4368(3301,⋅)\chi_{4368}(3301,\cdot)

• Label: 4368.3301
• Modulus: $4368$
• Conductor: $1456$
• Order: $12$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$4368$
Conductor:	$1456$
Order:	$12$
Real:	no
Primitive:	no, induced from $\chi_{1456}(389,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 4368.ln

$\chi_{4368}(1117,\cdot)$ $\chi_{4368}(2053,\cdot)$ $\chi_{4368}(3301,\cdot)$ $\chi_{4368}(4237,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{12})$
Fixed field:	12.12.239020026860167472611328.1

Values on generators

$(3823,1093,1457,1249,2017)$ → $(1,i,1,e\left(\frac{2}{3}\right),-1)$

First values

$a$	$-1$	$1$	$5$	$11$	$17$	$19$	$23$	$25$	$29$	$31$	$37$	$41$
$\chi_{ 4368 }(3301, a)$	$1$	$1$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{6}\right)$	$-i$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{12}\right)$	$1$