Dirichlet character orbit 2325.fz

• Label: 2325.fz
• 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

Related number fields

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

Characters in Galois orbit

Character	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$19$
$\chi_{2325}(98,\cdot)$	$1$	$1$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{47}{60}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{19}{60}\right)$	$e\left(\frac{17}{30}\right)$
$\chi_{2325}(242,\cdot)$	$1$	$1$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{1}{60}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{17}{60}\right)$	$e\left(\frac{1}{30}\right)$
$\chi_{2325}(377,\cdot)$	$1$	$1$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{17}{60}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{49}{60}\right)$	$e\left(\frac{17}{30}\right)$
$\chi_{2325}(428,\cdot)$	$1$	$1$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{19}{60}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{23}{60}\right)$	$e\left(\frac{19}{30}\right)$
$\chi_{2325}(563,\cdot)$	$1$	$1$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{23}{60}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{31}{60}\right)$	$e\left(\frac{23}{30}\right)$
$\chi_{2325}(842,\cdot)$	$1$	$1$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{41}{60}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{37}{60}\right)$	$e\left(\frac{11}{30}\right)$
$\chi_{2325}(1028,\cdot)$	$1$	$1$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{43}{60}\right)$	$e\left(\frac{29}{30}\right)$
$\chi_{2325}(1172,\cdot)$	$1$	$1$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{49}{60}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{53}{60}\right)$	$e\left(\frac{19}{30}\right)$
$\chi_{2325}(1358,\cdot)$	$1$	$1$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{31}{60}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{47}{60}\right)$	$e\left(\frac{1}{30}\right)$
$\chi_{2325}(1637,\cdot)$	$1$	$1$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{41}{60}\right)$	$e\left(\frac{13}{30}\right)$
$\chi_{2325}(1772,\cdot)$	$1$	$1$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{29}{60}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{29}{30}\right)$
$\chi_{2325}(1823,\cdot)$	$1$	$1$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{7}{60}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{7}{30}\right)$
$\chi_{2325}(1958,\cdot)$	$1$	$1$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{7}{60}\right)$	$e\left(\frac{11}{30}\right)$
$\chi_{2325}(2102,\cdot)$	$1$	$1$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{37}{60}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{29}{60}\right)$	$e\left(\frac{7}{30}\right)$
$\chi_{2325}(2237,\cdot)$	$1$	$1$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{53}{60}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{1}{60}\right)$	$e\left(\frac{23}{30}\right)$
$\chi_{2325}(2288,\cdot)$	$1$	$1$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{43}{60}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{13}{30}\right)$