Dirichlet character χ464(367,⋅)\chi_{464}(367,\cdot)

• Label: 464.367
• Modulus: $464$
• Conductor: $116$
• Order: $28$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$464$
Conductor:	$116$
Order:	$28$
Real:	no
Primitive:	no, induced from $\chi_{116}(19,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 464.bl

$\chi_{464}(15,\cdot)$ $\chi_{464}(31,\cdot)$ $\chi_{464}(47,\cdot)$ $\chi_{464}(79,\cdot)$ $\chi_{464}(95,\cdot)$ $\chi_{464}(127,\cdot)$ $\chi_{464}(143,\cdot)$ $\chi_{464}(159,\cdot)$ $\chi_{464}(271,\cdot)$ $\chi_{464}(287,\cdot)$ $\chi_{464}(351,\cdot)$ $\chi_{464}(367,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{28})$
Fixed field:	$\Q(\zeta_{116})^+$

Values on generators

$(175,117,321)$ → $(-1,1,e\left(\frac{9}{28}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$19$	$21$
$\chi_{ 464 }(367, a)$	$1$	$1$	$e\left(\frac{3}{28}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{5}{14}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{15}{28}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{5}{28}\right)$	$-i$	$e\left(\frac{11}{28}\right)$	$e\left(\frac{13}{28}\right)$

Gauss sum

Jacobi sum

Kloosterman sum