Dirichlet character χ8325(5011,⋅)\chi_{8325}(5011,\cdot)

• Label: 8325.5011
• Modulus: $8325$
• Conductor: $8325$
• Order: $45$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$8325$
Conductor:	$8325$
Order:	$45$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 8325.ie

$\chi_{8325}(16,\cdot)$ $\chi_{8325}(256,\cdot)$ $\chi_{8325}(1291,\cdot)$ $\chi_{8325}(1561,\cdot)$ $\chi_{8325}(1681,\cdot)$ $\chi_{8325}(1921,\cdot)$ $\chi_{8325}(2266,\cdot)$ $\chi_{8325}(2491,\cdot)$ $\chi_{8325}(2956,\cdot)$ $\chi_{8325}(3346,\cdot)$ $\chi_{8325}(3586,\cdot)$ $\chi_{8325}(3931,\cdot)$ $\chi_{8325}(4156,\cdot)$ $\chi_{8325}(4621,\cdot)$ $\chi_{8325}(4891,\cdot)$ $\chi_{8325}(5011,\cdot)$ $\chi_{8325}(5596,\cdot)$ $\chi_{8325}(5821,\cdot)$ $\chi_{8325}(6286,\cdot)$ $\chi_{8325}(6556,\cdot)$ $\chi_{8325}(6916,\cdot)$ $\chi_{8325}(7261,\cdot)$ $\chi_{8325}(7486,\cdot)$ $\chi_{8325}(8221,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{45})$
Fixed field:	Number field defined by a degree 45 polynomial

Values on generators

$(3701,7327,5626)$ → $(e\left(\frac{2}{3}\right),e\left(\frac{4}{5}\right),e\left(\frac{1}{9}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$19$
$\chi_{ 8325 }(5011, a)$	$1$	$1$	$e\left(\frac{26}{45}\right)$	$e\left(\frac{7}{45}\right)$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{34}{45}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{14}{45}\right)$	$e\left(\frac{8}{45}\right)$	$e\left(\frac{13}{45}\right)$