Dirichlet character χ3895(1129,⋅)\chi_{3895}(1129,\cdot)

• Label: 3895.1129
• Modulus: $3895$
• Conductor: $3895$
• Order: $120$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$3895$
Conductor:	$3895$
Order:	$120$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 3895.fn

$\chi_{3895}(69,\cdot)$ $\chi_{3895}(179,\cdot)$ $\chi_{3895}(259,\cdot)$ $\chi_{3895}(274,\cdot)$ $\chi_{3895}(354,\cdot)$ $\chi_{3895}(464,\cdot)$ $\chi_{3895}(544,\cdot)$ $\chi_{3895}(559,\cdot)$ $\chi_{3895}(639,\cdot)$ $\chi_{3895}(749,\cdot)$ $\chi_{3895}(844,\cdot)$ $\chi_{3895}(924,\cdot)$ $\chi_{3895}(1019,\cdot)$ $\chi_{3895}(1114,\cdot)$ $\chi_{3895}(1129,\cdot)$ $\chi_{3895}(1224,\cdot)$ $\chi_{3895}(1319,\cdot)$ $\chi_{3895}(1874,\cdot)$ $\chi_{3895}(2079,\cdot)$ $\chi_{3895}(2349,\cdot)$ $\chi_{3895}(2554,\cdot)$ $\chi_{3895}(3109,\cdot)$ $\chi_{3895}(3204,\cdot)$ $\chi_{3895}(3299,\cdot)$ $\chi_{3895}(3314,\cdot)$ $\chi_{3895}(3409,\cdot)$ $\chi_{3895}(3504,\cdot)$ $\chi_{3895}(3584,\cdot)$ $\chi_{3895}(3679,\cdot)$ $\chi_{3895}(3789,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{120})$
Fixed field:	Number field defined by a degree 120 polynomial (not computed)

Values on generators

$(3117,2871,1236)$ → $(-1,e\left(\frac{1}{6}\right),e\left(\frac{29}{40}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$7$	$8$	$9$	$11$	$12$	$13$
$\chi_{ 3895 }(1129, a)$	$1$	$1$	$e\left(\frac{31}{60}\right)$	$e\left(\frac{13}{24}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{7}{120}\right)$	$e\left(\frac{31}{40}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{7}{40}\right)$	$e\left(\frac{23}{40}\right)$	$e\left(\frac{97}{120}\right)$