Dirichlet character χ1254(305,⋅)\chi_{1254}(305,\cdot)

• Label: 1254.305
• Modulus: $1254$
• Conductor: $33$
• Order: $10$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$1254$
Conductor:	$33$
Order:	$10$
Real:	no
Primitive:	no, induced from $\chi_{33}(8,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 1254.y

$\chi_{1254}(305,\cdot)$ $\chi_{1254}(761,\cdot)$ $\chi_{1254}(875,\cdot)$ $\chi_{1254}(1217,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{5})$
Fixed field:	$\Q(\zeta_{33})^+$

Values on generators

$(419,343,1123)$ → $(-1,e\left(\frac{3}{10}\right),1)$

First values

$a$	$-1$	$1$	$5$	$7$	$13$	$17$	$23$	$25$	$29$	$31$	$35$	$37$
$\chi_{ 1254 }(305, a)$	$1$	$1$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{1}{5}\right)$	$-1$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{3}{5}\right)$