Dirichlet character χ3960(3317,⋅)\chi_{3960}(3317,\cdot)

• Label: 3960.3317
• Modulus: $3960$
• Conductor: $3960$
• Order: $60$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$3960$
Conductor:	$3960$
Order:	$60$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 3960.hj

$\chi_{3960}(173,\cdot)$ $\chi_{3960}(293,\cdot)$ $\chi_{3960}(437,\cdot)$ $\chi_{3960}(677,\cdot)$ $\chi_{3960}(893,\cdot)$ $\chi_{3960}(1157,\cdot)$ $\chi_{3960}(1613,\cdot)$ $\chi_{3960}(1733,\cdot)$ $\chi_{3960}(1757,\cdot)$ $\chi_{3960}(1877,\cdot)$ $\chi_{3960}(2477,\cdot)$ $\chi_{3960}(2813,\cdot)$ $\chi_{3960}(3053,\cdot)$ $\chi_{3960}(3197,\cdot)$ $\chi_{3960}(3317,\cdot)$ $\chi_{3960}(3533,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{60})$
Fixed field:	Number field defined by a degree 60 polynomial

Values on generators

$(991,1981,3521,2377,2521)$ → $(1,-1,e\left(\frac{5}{6}\right),i,e\left(\frac{9}{10}\right))$

First values

$a$	$-1$	$1$	$7$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$	$43$
$\chi_{ 3960 }(3317, a)$	$-1$	$1$	$e\left(\frac{53}{60}\right)$	$e\left(\frac{49}{60}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{1}{12}\right)$