Dirichlet character χ1260(127,⋅)\chi_{1260}(127,\cdot)

• Label: 1260.127
• Modulus: $1260$
• Conductor: $20$
• Order: $4$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$1260$
Conductor:	$20$
Order:	$4$
Real:	no
Primitive:	no, induced from $\chi_{20}(7,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 1260.w

$\chi_{1260}(127,\cdot)$ $\chi_{1260}(883,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(i)$
Fixed field:	$\Q(\zeta_{20})^+$

Values on generators

$(631,281,757,1081)$ → $(-1,1,i,1)$

First values

$a$	$-1$	$1$	$11$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$	$43$
$\chi_{ 1260 }(127, a)$	$1$	$1$	$-1$	$-i$	$i$	$1$	$i$	$-1$	$-1$	$i$	$1$	$i$