Dirichlet character χ776(483,⋅)\chi_{776}(483,\cdot)

• Label: 776.483
• Modulus: $776$
• Conductor: $776$
• Order: $48$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$776$
Conductor:	$776$
Order:	$48$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 776.bp

$\chi_{776}(3,\cdot)$ $\chi_{776}(11,\cdot)$ $\chi_{776}(99,\cdot)$ $\chi_{776}(163,\cdot)$ $\chi_{776}(219,\cdot)$ $\chi_{776}(243,\cdot)$ $\chi_{776}(259,\cdot)$ $\chi_{776}(323,\cdot)$ $\chi_{776}(339,\cdot)$ $\chi_{776}(363,\cdot)$ $\chi_{776}(419,\cdot)$ $\chi_{776}(483,\cdot)$ $\chi_{776}(571,\cdot)$ $\chi_{776}(579,\cdot)$ $\chi_{776}(635,\cdot)$ $\chi_{776}(723,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{48})$
Fixed field:	Number field defined by a degree 48 polynomial

Values on generators

$(583,389,393)$ → $(-1,-1,e\left(\frac{41}{48}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$19$	$21$
$\chi_{ 776 }(483, a)$	$-1$	$1$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{17}{48}\right)$	$e\left(\frac{47}{48}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{11}{24}\right)$	$e\left(\frac{41}{48}\right)$	$e\left(\frac{7}{48}\right)$	$e\left(\frac{1}{48}\right)$	$e\left(\frac{3}{16}\right)$	$e\left(\frac{37}{48}\right)$

Gauss sum

Jacobi sum

Kloosterman sum