Dirichlet character orbit 1925.fw

• Label: 1925.fw
• Modulus: $1925$
• Conductor: $1925$
• Order: $60$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$1925$
Conductor:	$1925$
Order:	$60$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Related number fields

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

Characters in Galois orbit

Character	$-1$	$1$	$2$	$3$	$4$	$6$	$8$	$9$	$12$	$13$	$16$	$17$
$\chi_{1925}(17,\cdot)$	$-1$	$1$	$e\left(\frac{53}{60}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{41}{60}\right)$	$-i$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{43}{60}\right)$
$\chi_{1925}(52,\cdot)$	$-1$	$1$	$e\left(\frac{41}{60}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{17}{60}\right)$	$-i$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{31}{60}\right)$
$\chi_{1925}(173,\cdot)$	$-1$	$1$	$e\left(\frac{31}{60}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{7}{60}\right)$	$i$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{41}{60}\right)$
$\chi_{1925}(178,\cdot)$	$-1$	$1$	$e\left(\frac{47}{60}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{59}{60}\right)$	$i$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{37}{60}\right)$
$\chi_{1925}(222,\cdot)$	$-1$	$1$	$e\left(\frac{37}{60}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{49}{60}\right)$	$-i$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{47}{60}\right)$
$\chi_{1925}(292,\cdot)$	$-1$	$1$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{60}\right)$	$-i$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{23}{60}\right)$
$\chi_{1925}(327,\cdot)$	$-1$	$1$	$e\left(\frac{1}{60}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{37}{60}\right)$	$-i$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{11}{60}\right)$
$\chi_{1925}(453,\cdot)$	$-1$	$1$	$e\left(\frac{7}{60}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{19}{60}\right)$	$i$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{17}{60}\right)$
$\chi_{1925}(612,\cdot)$	$-1$	$1$	$e\left(\frac{29}{60}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{53}{60}\right)$	$-i$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{19}{60}\right)$
$\chi_{1925}(633,\cdot)$	$-1$	$1$	$e\left(\frac{23}{60}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{11}{60}\right)$	$i$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{13}{60}\right)$
$\chi_{1925}(887,\cdot)$	$-1$	$1$	$e\left(\frac{49}{60}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{13}{60}\right)$	$-i$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{59}{60}\right)$
$\chi_{1925}(908,\cdot)$	$-1$	$1$	$e\left(\frac{43}{60}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{31}{60}\right)$	$i$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{53}{60}\right)$
$\chi_{1925}(1613,\cdot)$	$-1$	$1$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{23}{60}\right)$	$i$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{49}{60}\right)$
$\chi_{1925}(1823,\cdot)$	$-1$	$1$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{47}{60}\right)$	$i$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{1}{60}\right)$
$\chi_{1925}(1872,\cdot)$	$-1$	$1$	$e\left(\frac{17}{60}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{29}{60}\right)$	$-i$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{7}{60}\right)$
$\chi_{1925}(1888,\cdot)$	$-1$	$1$	$e\left(\frac{19}{60}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{43}{60}\right)$	$i$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{29}{60}\right)$