Dirichlet character χ148(83,⋅)\chi_{148}(83,\cdot)

• Label: 148.83
• Modulus: $148$
• Conductor: $148$
• Order: $18$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$148$
Conductor:	$148$
Order:	$18$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 148.p

$\chi_{148}(7,\cdot)$ $\chi_{148}(71,\cdot)$ $\chi_{148}(83,\cdot)$ $\chi_{148}(107,\cdot)$ $\chi_{148}(123,\cdot)$ $\chi_{148}(127,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{9})$
Fixed field:	18.0.3234204723240544858872018632704.1

Values on generators

$(75,113)$ → $(-1,e\left(\frac{4}{9}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$19$	$21$
$\chi_{ 148 }(83, a)$	$-1$	$1$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{13}{18}\right)$	$e\left(\frac{1}{9}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{8}{9}\right)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{1}{9}\right)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{7}{9}\right)$

Gauss sum

Jacobi sum

Kloosterman sum