Dirichlet character χ3895(594,⋅)\chi_{3895}(594,\cdot)

• Label: 3895.594
• Modulus: $3895$
• Conductor: $3895$
• Order: $180$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$3895$
Conductor:	$3895$
Order:	$180$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 3895.gb

$\chi_{3895}(74,\cdot)$ $\chi_{3895}(169,\cdot)$ $\chi_{3895}(244,\cdot)$ $\chi_{3895}(289,\cdot)$ $\chi_{3895}(389,\cdot)$ $\chi_{3895}(484,\cdot)$ $\chi_{3895}(579,\cdot)$ $\chi_{3895}(594,\cdot)$ $\chi_{3895}(689,\cdot)$ $\chi_{3895}(784,\cdot)$ $\chi_{3895}(859,\cdot)$ $\chi_{3895}(1004,\cdot)$ $\chi_{3895}(1099,\cdot)$ $\chi_{3895}(1184,\cdot)$ $\chi_{3895}(1194,\cdot)$ $\chi_{3895}(1279,\cdot)$ $\chi_{3895}(1374,\cdot)$ $\chi_{3895}(1594,\cdot)$ $\chi_{3895}(1619,\cdot)$ $\chi_{3895}(1689,\cdot)$ $\chi_{3895}(1714,\cdot)$ $\chi_{3895}(1784,\cdot)$ $\chi_{3895}(1809,\cdot)$ $\chi_{3895}(2004,\cdot)$ $\chi_{3895}(2099,\cdot)$ $\chi_{3895}(2134,\cdot)$ $\chi_{3895}(2194,\cdot)$ $\chi_{3895}(2209,\cdot)$ $\chi_{3895}(2304,\cdot)$ $\chi_{3895}(2399,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{180})$
Fixed field:	Number field defined by a degree 180 polynomial (not computed)

Values on generators

$(3117,2871,1236)$ → $(-1,e\left(\frac{8}{9}\right),e\left(\frac{17}{20}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$7$	$8$	$9$	$11$	$12$	$13$
$\chi_{ 3895 }(594, a)$	$1$	$1$	$e\left(\frac{22}{45}\right)$	$e\left(\frac{29}{36}\right)$	$e\left(\frac{44}{45}\right)$	$e\left(\frac{53}{180}\right)$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{47}{60}\right)$	$e\left(\frac{53}{180}\right)$