Dirichlet character χ7448(7283,⋅)\chi_{7448}(7283,\cdot)

• Label: 7448.7283
• Modulus: $7448$
• Conductor: $1064$
• Order: $18$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$7448$
Conductor:	$1064$
Order:	$18$
Real:	no
Primitive:	no, induced from $\chi_{1064}(899,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 7448.fl

$\chi_{7448}(803,\cdot)$ $\chi_{7448}(1011,\cdot)$ $\chi_{7448}(1195,\cdot)$ $\chi_{7448}(1795,\cdot)$ $\chi_{7448}(5507,\cdot)$ $\chi_{7448}(7283,\cdot)$

Related number fields

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

Values on generators

$(1863,3725,3041,3137)$ → $(-1,-1,e\left(\frac{1}{6}\right),e\left(\frac{7}{9}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$9$	$11$	$13$	$15$	$17$	$23$	$25$	$27$
$\chi_{ 7448 }(7283, a)$	$1$	$1$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{5}{9}\right)$	$1$	$e\left(\frac{8}{9}\right)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{5}{6}\right)$