Dirichlet character χ28900(2889,⋅)\chi_{28900}(2889,\cdot)

• Label: 28900.2889
• Modulus: $28900$
• Conductor: $425$
• Order: $10$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$28900$
Conductor:	$425$
Order:	$10$
Real:	no
Primitive:	no, induced from $\chi_{425}(339,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 28900.be

$\chi_{28900}(2889,\cdot)$ $\chi_{28900}(8669,\cdot)$ $\chi_{28900}(20229,\cdot)$ $\chi_{28900}(26009,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{5})$
Fixed field:	10.10.1083264923095703125.1

Values on generators

$(14451,24277,23701)$ → $(1,e\left(\frac{3}{10}\right),-1)$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$19$	$21$	$23$	$27$	$29$
$\chi_{ 28900 }(2889, a)$	$1$	$1$	$e\left(\frac{3}{5}\right)$	$1$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{1}{10}\right)$