Dirichlet character χ5760(2879,⋅)\chi_{5760}(2879,\cdot)

• Label: 5760.2879
• Modulus: $5760$
• Conductor: $120$
• Order: $2$
• Real: yes
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$5760$
Conductor:	$120$
Order:	$2$
Real:	yes
Primitive:	no, induced from $\chi_{120}(59,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 5760.m

$\chi_{5760}(2879,\cdot)$

Related number fields

Field of values:	$\Q$
Fixed field:	$\Q(\sqrt{30})$

Values on generators

$(2431,901,641,3457)$ → $(-1,-1,-1,-1)$

First values

$a$	$-1$	$1$	$7$	$11$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$
$\chi_{ 5760 }(2879, a)$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$1$	$-1$