Dirichlet character χ3895(1117,⋅)\chi_{3895}(1117,\cdot)

• Label: 3895.1117
• 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.fy

$\chi_{3895}(78,\cdot)$ $\chi_{3895}(98,\cdot)$ $\chi_{3895}(223,\cdot)$ $\chi_{3895}(242,\cdot)$ $\chi_{3895}(262,\cdot)$ $\chi_{3895}(338,\cdot)$ $\chi_{3895}(428,\cdot)$ $\chi_{3895}(447,\cdot)$ $\chi_{3895}(488,\cdot)$ $\chi_{3895}(508,\cdot)$ $\chi_{3895}(592,\cdot)$ $\chi_{3895}(713,\cdot)$ $\chi_{3895}(838,\cdot)$ $\chi_{3895}(857,\cdot)$ $\chi_{3895}(877,\cdot)$ $\chi_{3895}(953,\cdot)$ $\chi_{3895}(1002,\cdot)$ $\chi_{3895}(1117,\cdot)$ $\chi_{3895}(1123,\cdot)$ $\chi_{3895}(1207,\cdot)$ $\chi_{3895}(1248,\cdot)$ $\chi_{3895}(1267,\cdot)$ $\chi_{3895}(1287,\cdot)$ $\chi_{3895}(1363,\cdot)$ $\chi_{3895}(1492,\cdot)$ $\chi_{3895}(1533,\cdot)$ $\chi_{3895}(1568,\cdot)$ $\chi_{3895}(1617,\cdot)$ $\chi_{3895}(1732,\cdot)$ $\chi_{3895}(1902,\cdot)$ ...

Related number fields

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

Values on generators

$(3117,2871,1236)$ → $(i,e\left(\frac{11}{18}\right),e\left(\frac{1}{5}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$7$	$8$	$9$	$11$	$12$	$13$
$\chi_{ 3895 }(1117, a)$	$1$	$1$	$e\left(\frac{11}{180}\right)$	$e\left(\frac{25}{36}\right)$	$e\left(\frac{11}{90}\right)$	$e\left(\frac{34}{45}\right)$	$e\left(\frac{43}{60}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{49}{60}\right)$	$e\left(\frac{1}{180}\right)$