Dirichlet character χ1620(541,⋅)\chi_{1620}(541,\cdot)

• Label: 1620.541
• Modulus: $1620$
• Conductor: $9$
• Order: $3$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$1620$
Conductor:	$9$
Order:	$3$
Real:	no
Primitive:	no, induced from $\chi_{9}(7,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 1620.i

$\chi_{1620}(541,\cdot)$ $\chi_{1620}(1081,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(\zeta_3)$
Fixed field:	$\Q(\zeta_{9})^+$

Values on generators

$(811,1541,1297)$ → $(1,e\left(\frac{2}{3}\right),1)$

First values

$a$	$-1$	$1$	$7$	$11$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$
$\chi_{ 1620 }(541, a)$	$1$	$1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$	$1$	$1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$	$1$	$e\left(\frac{1}{3}\right)$