Dirichlet character χ8800(6081,⋅)\chi_{8800}(6081,\cdot)

• Label: 8800.6081
• Modulus: $8800$
• Conductor: $275$
• Order: $5$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$8800$
Conductor:	$275$
Order:	$5$
Real:	no
Primitive:	no, induced from $\chi_{275}(31,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 8800.bq

$\chi_{8800}(641,\cdot)$ $\chi_{8800}(961,\cdot)$ $\chi_{8800}(6081,\cdot)$ $\chi_{8800}(8321,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{5})$
Fixed field:	5.5.5719140625.4

Values on generators

$(2751,3301,4577,5601)$ → $(1,1,e\left(\frac{2}{5}\right),e\left(\frac{3}{5}\right))$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$13$	$17$	$19$	$21$	$23$	$27$	$29$
$\chi_{ 8800 }(6081, a)$	$1$	$1$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{3}{5}\right)$	$1$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{4}{5}\right)$	$1$