Dirichlet character χ431(321,⋅)\chi_{431}(321,\cdot)

• Label: 431.321
• Modulus: $431$
• Conductor: $431$
• Order: $86$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$431$
Conductor:	$431$
Order:	$86$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 431.f

$\chi_{431}(47,\cdot)$ $\chi_{431}(94,\cdot)$ $\chi_{431}(101,\cdot)$ $\chi_{431}(107,\cdot)$ $\chi_{431}(133,\cdot)$ $\chi_{431}(141,\cdot)$ $\chi_{431}(143,\cdot)$ $\chi_{431}(175,\cdot)$ $\chi_{431}(188,\cdot)$ $\chi_{431}(202,\cdot)$ $\chi_{431}(211,\cdot)$ $\chi_{431}(214,\cdot)$ $\chi_{431}(215,\cdot)$ $\chi_{431}(239,\cdot)$ $\chi_{431}(266,\cdot)$ $\chi_{431}(269,\cdot)$ $\chi_{431}(282,\cdot)$ $\chi_{431}(286,\cdot)$ $\chi_{431}(287,\cdot)$ $\chi_{431}(303,\cdot)$ $\chi_{431}(321,\cdot)$ $\chi_{431}(323,\cdot)$ $\chi_{431}(335,\cdot)$ $\chi_{431}(350,\cdot)$ $\chi_{431}(359,\cdot)$ $\chi_{431}(367,\cdot)$ $\chi_{431}(376,\cdot)$ $\chi_{431}(377,\cdot)$ $\chi_{431}(383,\cdot)$ $\chi_{431}(395,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{43})$
Fixed field:	Number field defined by a degree 86 polynomial

Values on generators

$7$ → $e\left(\frac{67}{86}\right)$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$	$11$
$\chi_{ 431 }(321, a)$	$-1$	$1$	$e\left(\frac{17}{43}\right)$	$e\left(\frac{6}{43}\right)$	$e\left(\frac{34}{43}\right)$	$e\left(\frac{19}{43}\right)$	$e\left(\frac{23}{43}\right)$	$e\left(\frac{67}{86}\right)$	$e\left(\frac{8}{43}\right)$	$e\left(\frac{12}{43}\right)$	$e\left(\frac{36}{43}\right)$	$e\left(\frac{28}{43}\right)$

Gauss sum

Jacobi sum

Kloosterman sum