Dirichlet character χ801(704,⋅)\chi_{801}(704,\cdot)

• Label: 801.704
• Modulus: $801$
• Conductor: $801$
• Order: $66$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$801$
Conductor:	$801$
Order:	$66$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 801.x

$\chi_{801}(11,\cdot)$ $\chi_{801}(50,\cdot)$ $\chi_{801}(146,\cdot)$ $\chi_{801}(176,\cdot)$ $\chi_{801}(200,\cdot)$ $\chi_{801}(203,\cdot)$ $\chi_{801}(263,\cdot)$ $\chi_{801}(311,\cdot)$ $\chi_{801}(317,\cdot)$ $\chi_{801}(437,\cdot)$ $\chi_{801}(443,\cdot)$ $\chi_{801}(470,\cdot)$ $\chi_{801}(518,\cdot)$ $\chi_{801}(545,\cdot)$ $\chi_{801}(578,\cdot)$ $\chi_{801}(680,\cdot)$ $\chi_{801}(704,\cdot)$ $\chi_{801}(734,\cdot)$ $\chi_{801}(785,\cdot)$ $\chi_{801}(797,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{33})$
Fixed field:	Number field defined by a degree 66 polynomial

Values on generators

$(713,181)$ → $(e\left(\frac{1}{6}\right),e\left(\frac{1}{22}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$5$	$7$	$8$	$10$	$11$	$13$	$14$	$16$
$\chi_{ 801 }(704, a)$	$-1$	$1$	$e\left(\frac{59}{66}\right)$	$e\left(\frac{26}{33}\right)$	$e\left(\frac{1}{66}\right)$	$e\left(\frac{23}{66}\right)$	$e\left(\frac{15}{22}\right)$	$e\left(\frac{10}{11}\right)$	$e\left(\frac{65}{66}\right)$	$e\left(\frac{25}{66}\right)$	$e\left(\frac{8}{33}\right)$	$e\left(\frac{19}{33}\right)$

Gauss sum

Jacobi sum

Kloosterman sum