Dirichlet character χ4788(2029,⋅)\chi_{4788}(2029,\cdot)

• Label: 4788.2029
• Modulus: $4788$
• Conductor: $1197$
• Order: $18$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$4788$
Conductor:	$1197$
Order:	$18$
Real:	no
Primitive:	no, induced from $\chi_{1197}(832,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 4788.kh

$\chi_{4788}(13,\cdot)$ $\chi_{4788}(97,\cdot)$ $\chi_{4788}(1105,\cdot)$ $\chi_{4788}(1777,\cdot)$ $\chi_{4788}(2029,\cdot)$ $\chi_{4788}(2617,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{9})$
Fixed field:	Number field defined by a degree 18 polynomial

Values on generators

$(2395,533,4105,1009)$ → $(1,e\left(\frac{1}{3}\right),-1,e\left(\frac{11}{18}\right))$

First values

$a$	$-1$	$1$	$5$	$11$	$13$	$17$	$23$	$25$	$29$	$31$	$37$	$41$
$\chi_{ 4788 }(2029, a)$	$1$	$1$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{8}{9}\right)$	$e\left(\frac{8}{9}\right)$	$e\left(\frac{13}{18}\right)$	$e\left(\frac{1}{3}\right)$	$-1$	$e\left(\frac{1}{9}\right)$