Dirichlet character χ2664(1733,⋅)\chi_{2664}(1733,\cdot)

• Label: 2664.1733
• 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.dz

$\chi_{2664}(1301,\cdot)$ $\chi_{2664}(1733,\cdot)$ $\chi_{2664}(2189,\cdot)$ $\chi_{2664}(2621,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{12})$
Fixed field:	12.12.13198908662139975403478188032.1

Values on generators

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

First values

$a$	$-1$	$1$	$5$	$7$	$11$	$13$	$17$	$19$	$23$	$25$	$29$	$31$
$\chi_{ 2664 }(1733, a)$	$1$	$1$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{11}{12}\right)$	$i$	$i$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{11}{12}\right)$