Dirichlet character χ260(63,⋅)\chi_{260}(63,\cdot)

• Label: 260.63
• Modulus: $260$
• Conductor: $260$
• Order: $12$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$260$
Conductor:	$260$
Order:	$12$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 260.be

$\chi_{260}(63,\cdot)$ $\chi_{260}(67,\cdot)$ $\chi_{260}(163,\cdot)$ $\chi_{260}(227,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{12})$
Fixed field:	12.0.14337283152296000000000.2

Values on generators

$(131,157,41)$ → $(-1,-i,e\left(\frac{7}{12}\right))$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$17$	$19$	$21$	$23$	$27$	$29$
$\chi_{ 260 }(63, a)$	$-1$	$1$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{11}{12}\right)$	$-i$	$e\left(\frac{7}{12}\right)$	$i$	$e\left(\frac{5}{6}\right)$

Gauss sum

Jacobi sum

Kloosterman sum