Dirichlet character χ320(241,⋅)\chi_{320}(241,\cdot)

• Label: 320.241
• Modulus: $320$
• Conductor: $16$
• Order: $4$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$320$
Conductor:	$16$
Order:	$4$
Real:	no
Primitive:	no, induced from $\chi_{16}(5,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 320.l

$\chi_{320}(81,\cdot)$ $\chi_{320}(241,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(i)$
Fixed field:	$\Q(\zeta_{16})^+$

Values on generators

$(191,261,257)$ → $(1,i,1)$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$17$	$19$	$21$	$23$	$27$
$\chi_{ 320 }(241, a)$	$1$	$1$	$-i$	$-1$	$-1$	$i$	$-i$	$1$	$-i$	$i$	$-1$	$i$

Gauss sum

Jacobi sum

Kloosterman sum