Dirichlet character χ3895(1017,⋅)\chi_{3895}(1017,\cdot)

• Label: 3895.1017
• 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.gc

$\chi_{3895}(2,\cdot)$ $\chi_{3895}(128,\cdot)$ $\chi_{3895}(203,\cdot)$ $\chi_{3895}(307,\cdot)$ $\chi_{3895}(333,\cdot)$ $\chi_{3895}(402,\cdot)$ $\chi_{3895}(412,\cdot)$ $\chi_{3895}(623,\cdot)$ $\chi_{3895}(717,\cdot)$ $\chi_{3895}(718,\cdot)$ $\chi_{3895}(743,\cdot)$ $\chi_{3895}(812,\cdot)$ $\chi_{3895}(922,\cdot)$ $\chi_{3895}(1017,\cdot)$ $\chi_{3895}(1153,\cdot)$ $\chi_{3895}(1238,\cdot)$ $\chi_{3895}(1307,\cdot)$ $\chi_{3895}(1332,\cdot)$ $\chi_{3895}(1333,\cdot)$ $\chi_{3895}(1427,\cdot)$ $\chi_{3895}(1648,\cdot)$ $\chi_{3895}(1742,\cdot)$ $\chi_{3895}(1743,\cdot)$ $\chi_{3895}(1837,\cdot)$ $\chi_{3895}(1853,\cdot)$ $\chi_{3895}(1922,\cdot)$ $\chi_{3895}(1948,\cdot)$ $\chi_{3895}(2048,\cdot)$ $\chi_{3895}(2257,\cdot)$ $\chi_{3895}(2263,\cdot)$ ...

Related number fields

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

Values on generators

$(3117,2871,1236)$ → $(i,e\left(\frac{17}{18}\right),e\left(\frac{9}{20}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$7$	$8$	$9$	$11$	$12$	$13$
$\chi_{ 3895 }(1017, a)$	$1$	$1$	$e\left(\frac{161}{180}\right)$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{71}{90}\right)$	$e\left(\frac{121}{180}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{41}{60}\right)$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{41}{60}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{19}{45}\right)$