Dirichlet character χ2325(842,⋅)\chi_{2325}(842,\cdot)

• Label: 2325.842
• 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.fz

$\chi_{2325}(98,\cdot)$ $\chi_{2325}(242,\cdot)$ $\chi_{2325}(377,\cdot)$ $\chi_{2325}(428,\cdot)$ $\chi_{2325}(563,\cdot)$ $\chi_{2325}(842,\cdot)$ $\chi_{2325}(1028,\cdot)$ $\chi_{2325}(1172,\cdot)$ $\chi_{2325}(1358,\cdot)$ $\chi_{2325}(1637,\cdot)$ $\chi_{2325}(1772,\cdot)$ $\chi_{2325}(1823,\cdot)$ $\chi_{2325}(1958,\cdot)$ $\chi_{2325}(2102,\cdot)$ $\chi_{2325}(2237,\cdot)$ $\chi_{2325}(2288,\cdot)$

Related number fields

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

Values on generators

$(776,652,1801)$ → $(-1,e\left(\frac{13}{20}\right),e\left(\frac{2}{3}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$19$
$\chi_{ 2325 }(842, a)$	$1$	$1$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{41}{60}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{37}{60}\right)$	$e\left(\frac{11}{30}\right)$