Dirichlet character χ4788(1451,⋅)\chi_{4788}(1451,\cdot)

• Label: 4788.1451
• Modulus: $4788$
• Conductor: $4788$
• Order: $6$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$4788$
Conductor:	$4788$
Order:	$6$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 4788.hn

$\chi_{4788}(1451,\cdot)$ $\chi_{4788}(1607,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(\zeta_3)$
Fixed field:	6.6.394164793052352.2

Values on generators

$(2395,533,4105,1009)$ → $(-1,e\left(\frac{1}{6}\right),e\left(\frac{1}{3}\right),e\left(\frac{1}{3}\right))$

First values

$a$	$-1$	$1$	$5$	$11$	$13$	$17$	$23$	$25$	$29$	$31$	$37$	$41$
$\chi_{ 4788 }(1451, a)$	$1$	$1$	$e\left(\frac{5}{6}\right)$	$1$	$1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{6}\right)$