Dirichlet character orbit 4650.bs

• Label: 4650.bs
• Modulus: $4650$
• Conductor: $2325$
• Order: $10$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$4650$
Conductor:	$2325$
Order:	$10$
Real:	no
Primitive:	no, induced from 2325.cc
Minimal:	yes
Parity:	even

Related number fields

Field of values:	$\Q(\zeta_{5})$
Fixed field:	10.10.980350980383766632080078125.4

Characters in Galois orbit

Character	$-1$	$1$	$7$	$11$	$13$	$17$	$19$	$23$	$29$	$37$	$41$	$43$
$\chi_{4650}(1391,\cdot)$	$1$	$1$	$e\left(\frac{4}{5}\right)$	$1$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{4}{5}\right)$	$1$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{9}{10}\right)$
$\chi_{4650}(1511,\cdot)$	$1$	$1$	$e\left(\frac{1}{5}\right)$	$1$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{1}{5}\right)$	$1$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{1}{10}\right)$
$\chi_{4650}(2681,\cdot)$	$1$	$1$	$e\left(\frac{3}{5}\right)$	$1$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{3}{5}\right)$	$1$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{3}{10}\right)$
$\chi_{4650}(4121,\cdot)$	$1$	$1$	$e\left(\frac{2}{5}\right)$	$1$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{2}{5}\right)$	$1$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{7}{10}\right)$