Dirichlet character χ2664(1229,⋅)\chi_{2664}(1229,\cdot)

• Label: 2664.1229
• Modulus: $2664$
• Conductor: $2664$
• Order: $12$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$2664$
Conductor:	$2664$
Order:	$12$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2664.er

$\chi_{2664}(245,\cdot)$ $\chi_{2664}(1229,\cdot)$ $\chi_{2664}(1805,\cdot)$ $\chi_{2664}(1901,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{12})$
Fixed field:	12.12.18069305958469626327361639415808.2

Values on generators

$(1999,1333,2369,1297)$ → $(1,-1,e\left(\frac{5}{6}\right),e\left(\frac{1}{12}\right))$

First values

$a$	$-1$	$1$	$5$	$7$	$11$	$13$	$17$	$19$	$23$	$25$	$29$	$31$
$\chi_{ 2664 }(1229, a)$	$1$	$1$	$e\left(\frac{7}{12}\right)$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{5}{12}\right)$