Dirichlet character χ1305(1304,⋅)\chi_{1305}(1304,\cdot)

• Label: 1305.1304
• Modulus: $1305$
• Conductor: $435$
• Order: $2$
• Real: yes
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$1305$
Conductor:	$435$
Order:	$2$
Real:	yes
Primitive:	no, induced from $\chi_{435}(434,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 1305.b

$\chi_{1305}(1304,\cdot)$

Related number fields

Field of values:	$\Q$
Fixed field:	$\Q(\sqrt{-435})$

Values on generators

$(146,262,901)$ → $(-1,-1,-1)$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$19$
$\chi_{ 1305 }(1304, a)$	$-1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$-1$	$-1$