Dirichlet character χ3276(551,⋅)\chi_{3276}(551,\cdot)

• Label: 3276.551
• Modulus: $3276$
• Conductor: $3276$
• Order: $12$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$3276$
Conductor:	$3276$
Order:	$12$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 3276.kz

$\chi_{3276}(47,\cdot)$ $\chi_{3276}(551,\cdot)$ $\chi_{3276}(2075,\cdot)$ $\chi_{3276}(2579,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{12})$
Fixed field:	12.12.4753495682939634596221218213888.1

Values on generators

$(1639,2549,2341,2017)$ → $(-1,e\left(\frac{1}{6}\right),e\left(\frac{5}{6}\right),-i)$

First values

$a$	$-1$	$1$	$5$	$11$	$17$	$19$	$23$	$25$	$29$	$31$	$37$	$41$
$\chi_{ 3276 }(551, a)$	$1$	$1$	$-i$	$i$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{5}{12}\right)$	$-1$	$-1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{1}{12}\right)$