Dirichlet character χ3895(1018,⋅)\chi_{3895}(1018,\cdot)

• Label: 3895.1018
• 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.fl

$\chi_{3895}(258,\cdot)$ $\chi_{3895}(463,\cdot)$ $\chi_{3895}(1018,\cdot)$ $\chi_{3895}(1223,\cdot)$ $\chi_{3895}(1588,\cdot)$ $\chi_{3895}(1793,\cdot)$ $\chi_{3895}(1873,\cdot)$ $\chi_{3895}(1892,\cdot)$ $\chi_{3895}(1987,\cdot)$ $\chi_{3895}(2063,\cdot)$ $\chi_{3895}(2078,\cdot)$ $\chi_{3895}(2097,\cdot)$ $\chi_{3895}(2192,\cdot)$ $\chi_{3895}(2268,\cdot)$ $\chi_{3895}(2272,\cdot)$ $\chi_{3895}(2348,\cdot)$ $\chi_{3895}(2477,\cdot)$ $\chi_{3895}(2553,\cdot)$ $\chi_{3895}(2557,\cdot)$ $\chi_{3895}(2762,\cdot)$ $\chi_{3895}(2918,\cdot)$ $\chi_{3895}(2937,\cdot)$ $\chi_{3895}(3123,\cdot)$ $\chi_{3895}(3142,\cdot)$ $\chi_{3895}(3222,\cdot)$ $\chi_{3895}(3427,\cdot)$ $\chi_{3895}(3507,\cdot)$ $\chi_{3895}(3602,\cdot)$ $\chi_{3895}(3678,\cdot)$ $\chi_{3895}(3712,\cdot)$ ...

Related number fields

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

Values on generators

$(3117,2871,1236)$ → $(-i,e\left(\frac{2}{3}\right),e\left(\frac{19}{40}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$7$	$8$	$9$	$11$	$12$	$13$
$\chi_{ 3895 }(1018, a)$	$1$	$1$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{1}{24}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{97}{120}\right)$	$e\left(\frac{11}{40}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{17}{40}\right)$	$e\left(\frac{23}{40}\right)$	$e\left(\frac{37}{120}\right)$