Dirichlet character orbit 2600.fv

• Label: 2600.fv
• Modulus: $2600$
• Conductor: $2600$
• Order: $60$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$2600$
Conductor:	$2600$
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	$-1$	$1$	$3$	$7$	$9$	$11$	$17$	$19$	$21$	$23$	$27$	$29$
$\chi_{2600}(3,\cdot)$	$1$	$1$	$e\left(\frac{47}{60}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{41}{60}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{8}{15}\right)$
$\chi_{2600}(347,\cdot)$	$1$	$1$	$e\left(\frac{37}{60}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{23}{60}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{31}{60}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{13}{15}\right)$
$\chi_{2600}(523,\cdot)$	$1$	$1$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{49}{60}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{53}{60}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{14}{15}\right)$
$\chi_{2600}(627,\cdot)$	$1$	$1$	$e\left(\frac{41}{60}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{19}{60}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{23}{60}\right)$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{14}{15}\right)$
$\chi_{2600}(763,\cdot)$	$1$	$1$	$e\left(\frac{19}{60}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{41}{60}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{37}{60}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{1}{15}\right)$
$\chi_{2600}(867,\cdot)$	$1$	$1$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{47}{60}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{19}{60}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{7}{15}\right)$
$\chi_{2600}(1147,\cdot)$	$1$	$1$	$e\left(\frac{17}{60}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{43}{60}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{8}{15}\right)$
$\chi_{2600}(1283,\cdot)$	$1$	$1$	$e\left(\frac{43}{60}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{17}{60}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{49}{60}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{7}{15}\right)$
$\chi_{2600}(1387,\cdot)$	$1$	$1$	$e\left(\frac{49}{60}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{7}{60}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{1}{15}\right)$
$\chi_{2600}(1563,\cdot)$	$1$	$1$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{1}{60}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{17}{60}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{11}{15}\right)$
$\chi_{2600}(1667,\cdot)$	$1$	$1$	$e\left(\frac{53}{60}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{7}{60}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{2}{15}\right)$
$\chi_{2600}(1803,\cdot)$	$1$	$1$	$e\left(\frac{7}{60}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{53}{60}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{1}{60}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{13}{15}\right)$
$\chi_{2600}(2083,\cdot)$	$1$	$1$	$e\left(\frac{23}{60}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{37}{60}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{29}{60}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{2}{15}\right)$
$\chi_{2600}(2187,\cdot)$	$1$	$1$	$e\left(\frac{29}{60}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{31}{60}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{47}{60}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{11}{15}\right)$
$\chi_{2600}(2323,\cdot)$	$1$	$1$	$e\left(\frac{31}{60}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{29}{60}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{4}{15}\right)$
$\chi_{2600}(2427,\cdot)$	$1$	$1$	$e\left(\frac{1}{60}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{43}{60}\right)$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{4}{15}\right)$