Dirichlet character χ28900(19401,⋅)\chi_{28900}(19401,\cdot)

• Label: 28900.19401
• Modulus: $28900$
• Conductor: $17$
• Order: $4$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$28900$
Conductor:	$17$
Order:	$4$
Real:	no
Primitive:	no, induced from $\chi_{17}(4,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 28900.o

$\chi_{28900}(14701,\cdot)$ $\chi_{28900}(19401,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(i)$
Fixed field:	4.4.4913.1

Values on generators

$(14451,24277,23701)$ → $(1,1,-i)$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$19$	$21$	$23$	$27$	$29$
$\chi_{ 28900 }(19401, a)$	$1$	$1$	$-i$	$i$	$-1$	$i$	$1$	$-1$	$1$	$i$	$i$	$-i$