Dirichlet character χ152(141,⋅)\chi_{152}(141,\cdot)

• Label: 152.141
• Modulus: $152$
• Conductor: $152$
• Order: $6$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$152$
Conductor:	$152$
Order:	$6$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 152.l

$\chi_{152}(69,\cdot)$ $\chi_{152}(141,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(\zeta_3)$
Fixed field:	6.0.1267762688.1

Values on generators

$(39,77,97)$ → $(1,-1,e\left(\frac{1}{6}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$21$	$23$
$\chi_{ 152 }(141, a)$	$-1$	$1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{6}\right)$	$1$	$e\left(\frac{1}{3}\right)$	$-1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$

Gauss sum

Jacobi sum

Kloosterman sum