Dirichlet character χ3800(3571,⋅)\chi_{3800}(3571,\cdot)

• Label: 3800.3571
• Modulus: $3800$
• Conductor: $3800$
• Order: $10$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$3800$
Conductor:	$3800$
Order:	$10$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 3800.bx

$\chi_{3800}(531,\cdot)$ $\chi_{3800}(1291,\cdot)$ $\chi_{3800}(2811,\cdot)$ $\chi_{3800}(3571,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{5})$
Fixed field:	10.10.12380495000000000000000.1

Values on generators

$(951,1901,1977,401)$ → $(-1,-1,e\left(\frac{3}{5}\right),-1)$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$17$	$21$	$23$	$27$	$29$
$\chi_{ 3800 }(3571, a)$	$1$	$1$	$e\left(\frac{7}{10}\right)$	$-1$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{1}{5}\right)$