Dirichlet character χ2325(2303,⋅)\chi_{2325}(2303,\cdot)

• Label: 2325.2303
• Modulus: $2325$
• Conductor: $2325$
• Order: $60$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$2325$
Conductor:	$2325$
Order:	$60$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2325.ga

$\chi_{2325}(152,\cdot)$ $\chi_{2325}(173,\cdot)$ $\chi_{2325}(317,\cdot)$ $\chi_{2325}(392,\cdot)$ $\chi_{2325}(413,\cdot)$ $\chi_{2325}(452,\cdot)$ $\chi_{2325}(572,\cdot)$ $\chi_{2325}(722,\cdot)$ $\chi_{2325}(887,\cdot)$ $\chi_{2325}(1433,\cdot)$ $\chi_{2325}(1508,\cdot)$ $\chi_{2325}(1538,\cdot)$ $\chi_{2325}(2087,\cdot)$ $\chi_{2325}(2153,\cdot)$ $\chi_{2325}(2198,\cdot)$ $\chi_{2325}(2303,\cdot)$

Related number fields

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

Values on generators

$(776,652,1801)$ → $(-1,e\left(\frac{7}{20}\right),e\left(\frac{1}{15}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$19$
$\chi_{ 2325 }(2303, a)$	$1$	$1$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{37}{60}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{23}{60}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{31}{60}\right)$	$e\left(\frac{17}{30}\right)$