Dirichlet character orbit 8325.jh

• Label: 8325.jh
• 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 2775.dt
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	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$19$
$\chi_{8325}(134,\cdot)$	$1$	$1$	$e\left(\frac{37}{60}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{53}{60}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{31}{60}\right)$	$e\left(\frac{11}{60}\right)$
$\chi_{8325}(584,\cdot)$	$1$	$1$	$e\left(\frac{47}{60}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{43}{60}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{41}{60}\right)$	$e\left(\frac{1}{60}\right)$
$\chi_{8325}(2339,\cdot)$	$1$	$1$	$e\left(\frac{53}{60}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{37}{60}\right)$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{19}{60}\right)$
$\chi_{8325}(2789,\cdot)$	$1$	$1$	$e\left(\frac{43}{60}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{47}{60}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{49}{60}\right)$	$e\left(\frac{29}{60}\right)$
$\chi_{8325}(3464,\cdot)$	$1$	$1$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{17}{60}\right)$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{19}{60}\right)$	$e\left(\frac{59}{60}\right)$
$\chi_{8325}(3914,\cdot)$	$1$	$1$	$e\left(\frac{23}{60}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{7}{60}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{29}{60}\right)$	$e\left(\frac{49}{60}\right)$
$\chi_{8325}(4004,\cdot)$	$1$	$1$	$e\left(\frac{41}{60}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{49}{60}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{23}{60}\right)$	$e\left(\frac{43}{60}\right)$
$\chi_{8325}(4454,\cdot)$	$1$	$1$	$e\left(\frac{31}{60}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{53}{60}\right)$
$\chi_{8325}(5129,\cdot)$	$1$	$1$	$e\left(\frac{1}{60}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{29}{60}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{43}{60}\right)$	$e\left(\frac{23}{60}\right)$
$\chi_{8325}(5579,\cdot)$	$1$	$1$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{19}{60}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{53}{60}\right)$	$e\left(\frac{13}{60}\right)$
$\chi_{8325}(5669,\cdot)$	$1$	$1$	$e\left(\frac{29}{60}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{1}{60}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{47}{60}\right)$	$e\left(\frac{7}{60}\right)$
$\chi_{8325}(6119,\cdot)$	$1$	$1$	$e\left(\frac{19}{60}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{37}{60}\right)$	$e\left(\frac{17}{60}\right)$
$\chi_{8325}(6794,\cdot)$	$1$	$1$	$e\left(\frac{49}{60}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{41}{60}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{7}{60}\right)$	$e\left(\frac{47}{60}\right)$
$\chi_{8325}(7244,\cdot)$	$1$	$1$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{31}{60}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{17}{60}\right)$	$e\left(\frac{37}{60}\right)$
$\chi_{8325}(7334,\cdot)$	$1$	$1$	$e\left(\frac{17}{60}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{31}{60}\right)$
$\chi_{8325}(7784,\cdot)$	$1$	$1$	$e\left(\frac{7}{60}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{23}{60}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{1}{60}\right)$	$e\left(\frac{41}{60}\right)$