Dirichlet character χ8325(608,⋅)\chi_{8325}(608,\cdot)

• Label: 8325.608
• Modulus: $8325$
• Conductor: $8325$
• Order: $180$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$8325$
Conductor:	$8325$
Order:	$180$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 8325.lp

$\chi_{8325}(488,\cdot)$ $\chi_{8325}(527,\cdot)$ $\chi_{8325}(608,\cdot)$ $\chi_{8325}(752,\cdot)$ $\chi_{8325}(848,\cdot)$ $\chi_{8325}(1217,\cdot)$ $\chi_{8325}(1487,\cdot)$ $\chi_{8325}(1847,\cdot)$ $\chi_{8325}(1883,\cdot)$ $\chi_{8325}(2153,\cdot)$ $\chi_{8325}(2192,\cdot)$ $\chi_{8325}(2273,\cdot)$ $\chi_{8325}(2417,\cdot)$ $\chi_{8325}(2513,\cdot)$ $\chi_{8325}(2858,\cdot)$ $\chi_{8325}(3083,\cdot)$ $\chi_{8325}(3152,\cdot)$ $\chi_{8325}(3272,\cdot)$ $\chi_{8325}(3512,\cdot)$ $\chi_{8325}(3548,\cdot)$ $\chi_{8325}(3938,\cdot)$ $\chi_{8325}(4178,\cdot)$ $\chi_{8325}(4523,\cdot)$ $\chi_{8325}(4547,\cdot)$ $\chi_{8325}(4748,\cdot)$ $\chi_{8325}(4817,\cdot)$ $\chi_{8325}(4937,\cdot)$ $\chi_{8325}(5177,\cdot)$ $\chi_{8325}(5213,\cdot)$ $\chi_{8325}(5483,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{180})$
Fixed field:	Number field defined by a degree 180 polynomial (not computed)

Values on generators

$(3701,7327,5626)$ → $(e\left(\frac{5}{6}\right),e\left(\frac{3}{20}\right),e\left(\frac{1}{9}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$19$
$\chi_{ 8325 }(608, a)$	$1$	$1$	$e\left(\frac{17}{180}\right)$	$e\left(\frac{17}{90}\right)$	$e\left(\frac{23}{36}\right)$	$e\left(\frac{17}{60}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{133}{180}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{17}{45}\right)$	$e\left(\frac{41}{180}\right)$	$e\left(\frac{53}{90}\right)$