Dirichlet character χ8325(3814,⋅)\chi_{8325}(3814,\cdot)

• Label: 8325.3814
• Modulus: $8325$
• Conductor: $8325$
• Order: $90$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$8325$
Conductor:	$8325$
Order:	$90$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 8325.ku

$\chi_{8325}(139,\cdot)$ $\chi_{8325}(484,\cdot)$ $\chi_{8325}(844,\cdot)$ $\chi_{8325}(1114,\cdot)$ $\chi_{8325}(1579,\cdot)$ $\chi_{8325}(1804,\cdot)$ $\chi_{8325}(2389,\cdot)$ $\chi_{8325}(2509,\cdot)$ $\chi_{8325}(2779,\cdot)$ $\chi_{8325}(3244,\cdot)$ $\chi_{8325}(3469,\cdot)$ $\chi_{8325}(3814,\cdot)$ $\chi_{8325}(4054,\cdot)$ $\chi_{8325}(4444,\cdot)$ $\chi_{8325}(4909,\cdot)$ $\chi_{8325}(5134,\cdot)$ $\chi_{8325}(5479,\cdot)$ $\chi_{8325}(5719,\cdot)$ $\chi_{8325}(5839,\cdot)$ $\chi_{8325}(6109,\cdot)$ $\chi_{8325}(7144,\cdot)$ $\chi_{8325}(7384,\cdot)$ $\chi_{8325}(7504,\cdot)$ $\chi_{8325}(8239,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{45})$
Fixed field:	Number field defined by a degree 90 polynomial

Values on generators

$(3701,7327,5626)$ → $(e\left(\frac{2}{3}\right),e\left(\frac{3}{10}\right),e\left(\frac{13}{18}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$19$
$\chi_{ 8325 }(3814, a)$	$1$	$1$	$e\left(\frac{31}{45}\right)$	$e\left(\frac{17}{45}\right)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{44}{45}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{34}{45}\right)$	$e\left(\frac{43}{45}\right)$	$e\left(\frac{61}{90}\right)$