Dirichlet character χ98(43,⋅)\chi_{98}(43,\cdot)

• Label: 98.43
• Modulus: $98$
• Conductor: $49$
• Order: $7$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$98$
Conductor:	$49$
Order:	$7$
Real:	no
Primitive:	no, induced from $\chi_{49}(43,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 98.e

$\chi_{98}(15,\cdot)$ $\chi_{98}(29,\cdot)$ $\chi_{98}(43,\cdot)$ $\chi_{98}(57,\cdot)$ $\chi_{98}(71,\cdot)$ $\chi_{98}(85,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{7})$
Fixed field:	7.7.13841287201.1

Values on generators

$3$ → $e\left(\frac{1}{7}\right)$

First values

$a$	$-1$	$1$	$3$	$5$	$9$	$11$	$13$	$15$	$17$	$19$	$23$	$25$
$\chi_{ 98 }(43, a)$	$1$	$1$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{4}{7}\right)$	$1$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{2}{7}\right)$

Gauss sum

Jacobi sum

Kloosterman sum