Dirichlet character χ28900(22143,⋅)\chi_{28900}(22143,\cdot)

• Label: 28900.22143
• Modulus: $28900$
• Conductor: $340$
• Order: $8$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$28900$
Conductor:	$340$
Order:	$8$
Real:	no
Primitive:	no, induced from $\chi_{340}(43,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 28900.ba

$\chi_{28900}(16607,\cdot)$ $\chi_{28900}(19807,\cdot)$ $\chi_{28900}(22143,\cdot)$ $\chi_{28900}(28143,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{8})$
Fixed field:	8.8.1641354692000000.1

Values on generators

$(14451,24277,23701)$ → $(-1,-i,e\left(\frac{1}{8}\right))$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$19$	$21$	$23$	$27$	$29$
$\chi_{ 28900 }(22143, a)$	$1$	$1$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{5}{8}\right)$	$-i$	$e\left(\frac{3}{8}\right)$	$-i$	$-i$	$-1$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{1}{8}\right)$