Dirichlet character χ2156(1497,⋅)\chi_{2156}(1497,\cdot)

• Label: 2156.1497
• Modulus: $2156$
• Conductor: $49$
• Order: $14$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$2156$
Conductor:	$49$
Order:	$14$
Real:	no
Primitive:	no, induced from $\chi_{49}(27,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 2156.bf

$\chi_{2156}(265,\cdot)$ $\chi_{2156}(573,\cdot)$ $\chi_{2156}(1189,\cdot)$ $\chi_{2156}(1497,\cdot)$ $\chi_{2156}(1805,\cdot)$ $\chi_{2156}(2113,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{7})$
Fixed field:	14.0.1341068619663964900807.1

Values on generators

$(1079,1277,981)$ → $(1,e\left(\frac{1}{14}\right),1)$

First values

$a$	$-1$	$1$	$3$	$5$	$9$	$13$	$15$	$17$	$19$	$23$	$25$	$27$
$\chi_{ 2156 }(1497, a)$	$-1$	$1$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{5}{14}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{11}{14}\right)$	$-1$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{3}{14}\right)$