Dirichlet character χ3276(2281,⋅)\chi_{3276}(2281,\cdot)

• Label: 3276.2281
• Modulus: $3276$
• Conductor: $819$
• Order: $12$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$3276$
Conductor:	$819$
Order:	$12$
Real:	no
Primitive:	no, induced from $\chi_{819}(643,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 3276.kr

$\chi_{3276}(349,\cdot)$ $\chi_{3276}(1021,\cdot)$ $\chi_{3276}(1861,\cdot)$ $\chi_{3276}(2281,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{12})$
Fixed field:	12.12.9076223692791829074146373.1

Values on generators

$(1639,2549,2341,2017)$ → $(1,e\left(\frac{1}{3}\right),-1,e\left(\frac{5}{12}\right))$

First values

$a$	$-1$	$1$	$5$	$11$	$17$	$19$	$23$	$25$	$29$	$31$	$37$	$41$
$\chi_{ 3276 }(2281, a)$	$1$	$1$	$e\left(\frac{11}{12}\right)$	$i$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{5}{6}\right)$	$1$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{7}{12}\right)$