Dirichlet character χ920(107,⋅)\chi_{920}(107,\cdot)

• Label: 920.107
• Modulus: $920$
• Conductor: $920$
• Order: $44$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$920$
Conductor:	$920$
Order:	$44$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 920.bs

$\chi_{920}(43,\cdot)$ $\chi_{920}(67,\cdot)$ $\chi_{920}(83,\cdot)$ $\chi_{920}(107,\cdot)$ $\chi_{920}(203,\cdot)$ $\chi_{920}(227,\cdot)$ $\chi_{920}(267,\cdot)$ $\chi_{920}(283,\cdot)$ $\chi_{920}(387,\cdot)$ $\chi_{920}(467,\cdot)$ $\chi_{920}(523,\cdot)$ $\chi_{920}(563,\cdot)$ $\chi_{920}(603,\cdot)$ $\chi_{920}(707,\cdot)$ $\chi_{920}(723,\cdot)$ $\chi_{920}(747,\cdot)$ $\chi_{920}(787,\cdot)$ $\chi_{920}(803,\cdot)$ $\chi_{920}(843,\cdot)$ $\chi_{920}(907,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{44})$
Fixed field:	44.0.13383169230192059253459701104387771124501004765020501667165784506368000000000000000000000000000000000.1

Values on generators

$(231,461,737,281)$ → $(-1,-1,i,e\left(\frac{17}{22}\right))$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$17$	$19$	$21$	$27$	$29$
$\chi_{ 920 }(107, a)$	$-1$	$1$	$e\left(\frac{5}{44}\right)$	$e\left(\frac{19}{44}\right)$	$e\left(\frac{5}{22}\right)$	$e\left(\frac{21}{22}\right)$	$e\left(\frac{3}{44}\right)$	$e\left(\frac{29}{44}\right)$	$e\left(\frac{1}{11}\right)$	$e\left(\frac{6}{11}\right)$	$e\left(\frac{15}{44}\right)$	$e\left(\frac{10}{11}\right)$

Gauss sum

Jacobi sum

Kloosterman sum