Dirichlet character χ2635(1854,⋅)\chi_{2635}(1854,\cdot)

• Label: 2635.1854
• Modulus: $2635$
• Conductor: $155$
• Order: $6$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$2635$
Conductor:	$155$
Order:	$6$
Real:	no
Primitive:	no, induced from $\chi_{155}(149,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 2635.z

$\chi_{2635}(749,\cdot)$ $\chi_{2635}(1854,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(\zeta_3)$
Fixed field:	6.6.115440125.1

Values on generators

$(1582,156,1956)$ → $(-1,1,e\left(\frac{1}{3}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$7$	$8$	$9$	$11$	$12$	$13$
$\chi_{ 2635 }(1854, a)$	$1$	$1$	$-1$	$e\left(\frac{5}{6}\right)$	$1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{6}\right)$	$-1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{6}\right)$