Dirichlet character χ4800(3649,⋅)\chi_{4800}(3649,\cdot)

• Label: 4800.3649
• Modulus: $4800$
• Conductor: $5$
• Order: $2$
• Real: yes
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$4800$
Conductor:	$5$
Order:	$2$
Real:	yes
Primitive:	no, induced from $\chi_{5}(4,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 4800.f

$\chi_{4800}(3649,\cdot)$

Related number fields

Field of values:	$\Q$
Fixed field:	$\Q(\sqrt{5})$

Values on generators

$(4351,901,1601,577)$ → $(1,1,1,-1)$

First values

$a$	$-1$	$1$	$7$	$11$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$
$\chi_{ 4800 }(3649, a)$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$-1$	$1$