Dirichlet character χ7920(2507,⋅)\chi_{7920}(2507,\cdot)

• Label: 7920.2507
• Modulus: $7920$
• Conductor: $7920$
• Order: $12$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$7920$
Conductor:	$7920$
Order:	$12$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 7920.gb

$\chi_{7920}(2243,\cdot)$ $\chi_{7920}(2507,\cdot)$ $\chi_{7920}(4883,\cdot)$ $\chi_{7920}(7787,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{12})$
Fixed field:	Number field defined by a degree 12 polynomial

Values on generators

$(991,5941,3521,6337,6481)$ → $(-1,i,e\left(\frac{5}{6}\right),i,-1)$

First values

$a$	$-1$	$1$	$7$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$	$43$
$\chi_{ 7920 }(2507, a)$	$1$	$1$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{2}{3}\right)$	$i$	$i$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{1}{6}\right)$	$-1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{3}\right)$