Dirichlet character χ2700(1349,⋅)\chi_{2700}(1349,\cdot)

• Label: 2700.1349
• Modulus: $2700$
• Conductor: $15$
• Order: $2$
• Real: yes
• Primitive: no
• Minimal: no
• Parity: odd

Basic properties

Modulus:	$2700$
Conductor:	$15$
Order:	$2$
Real:	yes
Primitive:	no, induced from $\chi_{15}(14,\cdot)$
Minimal:	no
Parity:	odd

Galois orbit 2700.b

$\chi_{2700}(1349,\cdot)$

Related number fields

Field of values:	$\Q$
Fixed field:	$\Q(\sqrt{-15})$

Values on generators

$(1351,1001,2377)$ → $(1,-1,-1)$

First values

$a$	$-1$	$1$	$7$	$11$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$
$\chi_{ 2700 }(1349, a)$	$-1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$