Dirichlet character χ1196(551,⋅)\chi_{1196}(551,\cdot)

• Label: 1196.551
• Modulus: $1196$
• Conductor: $1196$
• Order: $4$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$1196$
Conductor:	$1196$
Order:	$4$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 1196.k

$\chi_{1196}(551,\cdot)$ $\chi_{1196}(827,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(i)$
Fixed field:	4.0.18595408.2

Values on generators

$(599,93,833)$ → $(-1,-i,-1)$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$15$	$17$	$19$	$21$	$25$
$\chi_{ 1196 }(551, a)$	$-1$	$1$	$-1$	$i$	$i$	$1$	$i$	$-i$	$1$	$-i$	$-i$	$-1$