Dirichlet character χ3895(1434,⋅)\chi_{3895}(1434,\cdot)

• Label: 3895.1434
• Modulus: $3895$
• Conductor: $3895$
• Order: $18$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$3895$
Conductor:	$3895$
Order:	$18$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 3895.ci

$\chi_{3895}(614,\cdot)$ $\chi_{3895}(1024,\cdot)$ $\chi_{3895}(1434,\cdot)$ $\chi_{3895}(1639,\cdot)$ $\chi_{3895}(2049,\cdot)$ $\chi_{3895}(2664,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{9})$
Fixed field:	Number field defined by a degree 18 polynomial

Values on generators

$(3117,2871,1236)$ → $(-1,e\left(\frac{4}{9}\right),-1)$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$7$	$8$	$9$	$11$	$12$	$13$
$\chi_{ 3895 }(1434, a)$	$1$	$1$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{8}{9}\right)$	$e\left(\frac{13}{18}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{2}{9}\right)$