Dirichlet character χ740(529,⋅)\chi_{740}(529,\cdot)

• Label: 740.529
• Modulus: $740$
• Conductor: $185$
• Order: $6$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$740$
Conductor:	$185$
Order:	$6$
Real:	no
Primitive:	no, induced from $\chi_{185}(159,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 740.ba

$\chi_{740}(249,\cdot)$ $\chi_{740}(529,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(\zeta_3)$
Fixed field:	6.6.8667994625.1

Values on generators

$(371,297,261)$ → $(1,-1,e\left(\frac{5}{6}\right))$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$17$	$19$	$21$	$23$	$27$
$\chi_{ 740 }(529, a)$	$1$	$1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{3}\right)$	$1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{3}\right)$	$1$	$-1$

Gauss sum

Jacobi sum

Kloosterman sum