Dirichlet character χ1428(803,⋅)\chi_{1428}(803,\cdot)

• Label: 1428.803
• Modulus: $1428$
• Conductor: $1428$
• Order: $12$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$1428$
Conductor:	$1428$
Order:	$12$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 1428.bz

$\chi_{1428}(47,\cdot)$ $\chi_{1428}(395,\cdot)$ $\chi_{1428}(803,\cdot)$ $\chi_{1428}(1067,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{12})$
Fixed field:	12.0.100024909896188699799293952.1

Values on generators

$(715,953,409,1261)$ → $(-1,-1,e\left(\frac{5}{6}\right),-i)$

First values

$a$	$-1$	$1$	$5$	$11$	$13$	$19$	$23$	$25$	$29$	$31$	$37$	$41$
$\chi_{ 1428 }(803, a)$	$-1$	$1$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{7}{12}\right)$	$-1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{5}{6}\right)$	$i$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{5}{12}\right)$	$i$