Dirichlet character χ4788(953,⋅)\chi_{4788}(953,\cdot)

• Label: 4788.953
• Modulus: $4788$
• Conductor: $57$
• Order: $18$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$4788$
Conductor:	$57$
Order:	$18$
Real:	no
Primitive:	no, induced from $\chi_{57}(41,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 4788.mm

$\chi_{4788}(953,\cdot)$ $\chi_{4788}(1457,\cdot)$ $\chi_{4788}(2465,\cdot)$ $\chi_{4788}(3221,\cdot)$ $\chi_{4788}(3473,\cdot)$ $\chi_{4788}(4733,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{9})$
Fixed field:	$\Q(\zeta_{57})^+$

Values on generators

$(2395,533,4105,1009)$ → $(1,-1,1,e\left(\frac{13}{18}\right))$

First values

$a$	$-1$	$1$	$5$	$11$	$13$	$17$	$23$	$25$	$29$	$31$	$37$	$41$
$\chi_{ 4788 }(953, a)$	$1$	$1$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{13}{18}\right)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{1}{9}\right)$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{5}{6}\right)$	$-1$	$e\left(\frac{8}{9}\right)$