Dirichlet character χ8325(3914,⋅)\chi_{8325}(3914,\cdot)

• Label: 8325.3914
• Modulus: $8325$
• Conductor: $2775$
• Order: $60$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$8325$
Conductor:	$2775$
Order:	$60$
Real:	no
Primitive:	no, induced from $\chi_{2775}(1139,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 8325.jh

$\chi_{8325}(134,\cdot)$ $\chi_{8325}(584,\cdot)$ $\chi_{8325}(2339,\cdot)$ $\chi_{8325}(2789,\cdot)$ $\chi_{8325}(3464,\cdot)$ $\chi_{8325}(3914,\cdot)$ $\chi_{8325}(4004,\cdot)$ $\chi_{8325}(4454,\cdot)$ $\chi_{8325}(5129,\cdot)$ $\chi_{8325}(5579,\cdot)$ $\chi_{8325}(5669,\cdot)$ $\chi_{8325}(6119,\cdot)$ $\chi_{8325}(6794,\cdot)$ $\chi_{8325}(7244,\cdot)$ $\chi_{8325}(7334,\cdot)$ $\chi_{8325}(7784,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{60})$
Fixed field:	Number field defined by a degree 60 polynomial

Values on generators

$(3701,7327,5626)$ → $(-1,e\left(\frac{3}{10}\right),e\left(\frac{7}{12}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$19$
$\chi_{ 8325 }(3914, a)$	$1$	$1$	$e\left(\frac{23}{60}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{7}{60}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{29}{60}\right)$	$e\left(\frac{49}{60}\right)$