Dirichlet character χ3040(1557,⋅)\chi_{3040}(1557,\cdot)

• Label: 3040.1557
• Modulus: $3040$
• Conductor: $3040$
• Order: $8$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$3040$
Conductor:	$3040$
Order:	$8$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 3040.ce

$\chi_{3040}(37,\cdot)$ $\chi_{3040}(493,\cdot)$ $\chi_{3040}(1557,\cdot)$ $\chi_{3040}(2013,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{8})$
Fixed field:	8.8.4372847132672000000.1

Values on generators

$(191,2661,1217,1921)$ → $(1,e\left(\frac{5}{8}\right),i,-1)$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$17$	$21$	$23$	$27$	$29$
$\chi_{ 3040 }(1557, a)$	$1$	$1$	$e\left(\frac{1}{8}\right)$	$-1$	$i$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{5}{8}\right)$	$-i$	$e\left(\frac{5}{8}\right)$	$-1$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{7}{8}\right)$