Dirichlet character χ148(105,⋅)\chi_{148}(105,\cdot)

• Label: 148.105
• Modulus: $148$
• Conductor: $37$
• Order: $4$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$148$
Conductor:	$37$
Order:	$4$
Real:	no
Primitive:	no, induced from $\chi_{37}(31,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 148.f

$\chi_{148}(105,\cdot)$ $\chi_{148}(117,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(i)$
Fixed field:	4.0.50653.1

Values on generators

$(75,113)$ → $(1,i)$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$19$	$21$
$\chi_{ 148 }(105, a)$	$-1$	$1$	$-1$	$-i$	$1$	$1$	$-1$	$-i$	$i$	$-i$	$-i$	$-1$

Gauss sum

Jacobi sum

Kloosterman sum