Dirichlet character χ8043(32,⋅)\chi_{8043}(32,\cdot)

• Label: 8043.32
• Modulus: $8043$
• Conductor: $8043$
• Order: $1146$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$8043$
Conductor:	$8043$
Order:	$1146$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 8043.z

$\chi_{8043}(2,\cdot)$ $\chi_{8043}(23,\cdot)$ $\chi_{8043}(32,\cdot)$ $\chi_{8043}(65,\cdot)$ $\chi_{8043}(86,\cdot)$ $\chi_{8043}(116,\cdot)$ $\chi_{8043}(128,\cdot)$ $\chi_{8043}(137,\cdot)$ $\chi_{8043}(149,\cdot)$ $\chi_{8043}(200,\cdot)$ $\chi_{8043}(242,\cdot)$ $\chi_{8043}(263,\cdot)$ $\chi_{8043}(284,\cdot)$ $\chi_{8043}(305,\cdot)$ $\chi_{8043}(317,\cdot)$ $\chi_{8043}(338,\cdot)$ $\chi_{8043}(368,\cdot)$ $\chi_{8043}(389,\cdot)$ $\chi_{8043}(401,\cdot)$ $\chi_{8043}(410,\cdot)$ $\chi_{8043}(431,\cdot)$ $\chi_{8043}(452,\cdot)$ $\chi_{8043}(464,\cdot)$ $\chi_{8043}(485,\cdot)$ $\chi_{8043}(527,\cdot)$ $\chi_{8043}(536,\cdot)$ $\chi_{8043}(548,\cdot)$ $\chi_{8043}(557,\cdot)$ $\chi_{8043}(569,\cdot)$ $\chi_{8043}(578,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{573})$
Fixed field:	Number field defined by a degree 1146 polynomial (not computed)

Values on generators

$(5363,2299,6133)$ → $(-1,e\left(\frac{2}{3}\right),e\left(\frac{144}{191}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$5$	$8$	$10$	$11$	$13$	$16$	$17$	$19$
$\chi_{ 8043 }(32, a)$	$-1$	$1$	$e\left(\frac{985}{1146}\right)$	$e\left(\frac{412}{573}\right)$	$e\left(\frac{673}{1146}\right)$	$e\left(\frac{221}{382}\right)$	$e\left(\frac{256}{573}\right)$	$e\left(\frac{185}{1146}\right)$	$e\left(\frac{130}{191}\right)$	$e\left(\frac{251}{573}\right)$	$e\left(\frac{893}{1146}\right)$	$e\left(\frac{197}{573}\right)$