Dirichlet character orbit 28900.v

• Label: 28900.v
• Modulus: $28900$
• Conductor: $17$
• Order: $8$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$28900$
Conductor:	$17$
Order:	$8$
Real:	no
Primitive:	no, induced from 17.d
Minimal:	no
Parity:	even

Related number fields

Field of values:	$\Q(\zeta_{8})$
Fixed field:	$\Q(\zeta_{17})^+$

Characters in Galois orbit

Character	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$19$	$21$	$23$	$27$	$29$
$\chi_{28900}(1001,\cdot)$	$1$	$1$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{1}{8}\right)$	$-i$	$e\left(\frac{5}{8}\right)$	$-1$	$i$	$-1$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{7}{8}\right)$
$\chi_{28900}(4201,\cdot)$	$1$	$1$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{5}{8}\right)$	$-i$	$e\left(\frac{1}{8}\right)$	$-1$	$i$	$-1$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{3}{8}\right)$
$\chi_{28900}(5601,\cdot)$	$1$	$1$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{7}{8}\right)$	$i$	$e\left(\frac{3}{8}\right)$	$-1$	$-i$	$-1$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{1}{8}\right)$
$\chi_{28900}(28501,\cdot)$	$1$	$1$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{3}{8}\right)$	$i$	$e\left(\frac{7}{8}\right)$	$-1$	$-i$	$-1$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{5}{8}\right)$