LMFDB - Dirichlet character orbit 925.bz

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(925, base_ring=CyclotomicField(90)) M = H._module chi = DirichletCharacter(H, M([63,40])) chi.galois_orbit()

pari:[g,chi] = znchar(Mod(9,925)) order = charorder(g,chi) [ charpow(g,chi, k % order) | k <-[1..order-1], gcd(k,order)==1 ]

Basic properties

Modulus:	$925$
Conductor:	$925$	sage:chi.conductor() pari:znconreyconductor(g,chi)
Order:	$90$	sage:chi.multiplicative_order() pari:charorder(g,chi)
Real:	no
Primitive:	yes	sage:chi.is_primitive() pari:#znconreyconductor(g,chi)==1
Minimal:	yes
Parity:	even	sage:chi.is_odd() pari:zncharisodd(g,chi)

Related number fields

Field of values:	$\Q(\zeta_{45})$
Fixed field:	Number field defined by a degree 90 polynomial

Characters in Galois orbit

Character	$-1$	$1$	$2$	$3$	$4$	$6$	$7$	$8$	$9$	$11$	$12$	$13$
$\chi_{925}(9,\cdot)$	$1$	$1$	$e\left(\frac{13}{90}\right)$	$e\left(\frac{41}{90}\right)$	$e\left(\frac{13}{45}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{13}{18}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{41}{45}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{67}{90}\right)$	$e\left(\frac{17}{90}\right)$
$\chi_{925}(34,\cdot)$	$1$	$1$	$e\left(\frac{83}{90}\right)$	$e\left(\frac{61}{90}\right)$	$e\left(\frac{38}{45}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{16}{45}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{47}{90}\right)$	$e\left(\frac{67}{90}\right)$
$\chi_{925}(44,\cdot)$	$1$	$1$	$e\left(\frac{71}{90}\right)$	$e\left(\frac{37}{90}\right)$	$e\left(\frac{26}{45}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{37}{45}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{89}{90}\right)$	$e\left(\frac{79}{90}\right)$
$\chi_{925}(144,\cdot)$	$1$	$1$	$e\left(\frac{41}{90}\right)$	$e\left(\frac{67}{90}\right)$	$e\left(\frac{41}{45}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{22}{45}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{59}{90}\right)$	$e\left(\frac{19}{90}\right)$
$\chi_{925}(164,\cdot)$	$1$	$1$	$e\left(\frac{37}{90}\right)$	$e\left(\frac{89}{90}\right)$	$e\left(\frac{37}{45}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{44}{45}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{73}{90}\right)$	$e\left(\frac{83}{90}\right)$
$\chi_{925}(194,\cdot)$	$1$	$1$	$e\left(\frac{31}{90}\right)$	$e\left(\frac{77}{90}\right)$	$e\left(\frac{31}{45}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{13}{18}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{32}{45}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{49}{90}\right)$	$e\left(\frac{89}{90}\right)$
$\chi_{925}(219,\cdot)$	$1$	$1$	$e\left(\frac{11}{90}\right)$	$e\left(\frac{7}{90}\right)$	$e\left(\frac{11}{45}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{7}{45}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{29}{90}\right)$	$e\left(\frac{49}{90}\right)$
$\chi_{925}(229,\cdot)$	$1$	$1$	$e\left(\frac{89}{90}\right)$	$e\left(\frac{73}{90}\right)$	$e\left(\frac{44}{45}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{28}{45}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{71}{90}\right)$	$e\left(\frac{61}{90}\right)$
$\chi_{925}(234,\cdot)$	$1$	$1$	$e\left(\frac{43}{90}\right)$	$e\left(\frac{11}{90}\right)$	$e\left(\frac{43}{45}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{11}{45}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{7}{90}\right)$	$e\left(\frac{77}{90}\right)$
$\chi_{925}(329,\cdot)$	$1$	$1$	$e\left(\frac{59}{90}\right)$	$e\left(\frac{13}{90}\right)$	$e\left(\frac{14}{45}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{13}{45}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{41}{90}\right)$	$e\left(\frac{1}{90}\right)$
$\chi_{925}(379,\cdot)$	$1$	$1$	$e\left(\frac{49}{90}\right)$	$e\left(\frac{23}{90}\right)$	$e\left(\frac{4}{45}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{13}{18}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{23}{45}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{31}{90}\right)$	$e\left(\frac{71}{90}\right)$
$\chi_{925}(404,\cdot)$	$1$	$1$	$e\left(\frac{29}{90}\right)$	$e\left(\frac{43}{90}\right)$	$e\left(\frac{29}{45}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{43}{45}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{11}{90}\right)$	$e\left(\frac{31}{90}\right)$
$\chi_{925}(414,\cdot)$	$1$	$1$	$e\left(\frac{17}{90}\right)$	$e\left(\frac{19}{90}\right)$	$e\left(\frac{17}{45}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{19}{45}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{53}{90}\right)$	$e\left(\frac{43}{90}\right)$
$\chi_{925}(419,\cdot)$	$1$	$1$	$e\left(\frac{61}{90}\right)$	$e\left(\frac{47}{90}\right)$	$e\left(\frac{16}{45}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{2}{45}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{79}{90}\right)$	$e\left(\frac{59}{90}\right)$
$\chi_{925}(514,\cdot)$	$1$	$1$	$e\left(\frac{77}{90}\right)$	$e\left(\frac{49}{90}\right)$	$e\left(\frac{32}{45}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{4}{45}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{23}{90}\right)$	$e\left(\frac{73}{90}\right)$
$\chi_{925}(534,\cdot)$	$1$	$1$	$e\left(\frac{73}{90}\right)$	$e\left(\frac{71}{90}\right)$	$e\left(\frac{28}{45}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{26}{45}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{37}{90}\right)$	$e\left(\frac{47}{90}\right)$
$\chi_{925}(564,\cdot)$	$1$	$1$	$e\left(\frac{67}{90}\right)$	$e\left(\frac{59}{90}\right)$	$e\left(\frac{22}{45}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{13}{18}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{14}{45}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{13}{90}\right)$	$e\left(\frac{53}{90}\right)$
$\chi_{925}(589,\cdot)$	$1$	$1$	$e\left(\frac{47}{90}\right)$	$e\left(\frac{79}{90}\right)$	$e\left(\frac{2}{45}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{34}{45}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{83}{90}\right)$	$e\left(\frac{13}{90}\right)$
$\chi_{925}(604,\cdot)$	$1$	$1$	$e\left(\frac{79}{90}\right)$	$e\left(\frac{83}{90}\right)$	$e\left(\frac{34}{45}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{38}{45}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{61}{90}\right)$	$e\left(\frac{41}{90}\right)$
$\chi_{925}(719,\cdot)$	$1$	$1$	$e\left(\frac{1}{90}\right)$	$e\left(\frac{17}{90}\right)$	$e\left(\frac{1}{45}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{17}{45}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{19}{90}\right)$	$e\left(\frac{29}{90}\right)$
$\chi_{925}(784,\cdot)$	$1$	$1$	$e\left(\frac{53}{90}\right)$	$e\left(\frac{1}{90}\right)$	$e\left(\frac{8}{45}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{1}{45}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{17}{90}\right)$	$e\left(\frac{7}{90}\right)$
$\chi_{925}(789,\cdot)$	$1$	$1$	$e\left(\frac{7}{90}\right)$	$e\left(\frac{29}{90}\right)$	$e\left(\frac{7}{45}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{29}{45}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{43}{90}\right)$	$e\left(\frac{23}{90}\right)$
$\chi_{925}(884,\cdot)$	$1$	$1$	$e\left(\frac{23}{90}\right)$	$e\left(\frac{31}{90}\right)$	$e\left(\frac{23}{45}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{31}{45}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{77}{90}\right)$	$e\left(\frac{37}{90}\right)$
$\chi_{925}(904,\cdot)$	$1$	$1$	$e\left(\frac{19}{90}\right)$	$e\left(\frac{53}{90}\right)$	$e\left(\frac{19}{45}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{8}{45}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{1}{90}\right)$	$e\left(\frac{11}{90}\right)$

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Character	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(13\)
\(\chi_{925}(9,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{13}{90}\right)\)	\(e\left(\frac{41}{90}\right)\)	\(e\left(\frac{13}{45}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{13}{18}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{41}{45}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{67}{90}\right)\)	\(e\left(\frac{17}{90}\right)\)
\(\chi_{925}(34,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{83}{90}\right)\)	\(e\left(\frac{61}{90}\right)\)	\(e\left(\frac{38}{45}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{11}{18}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{16}{45}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{47}{90}\right)\)	\(e\left(\frac{67}{90}\right)\)
\(\chi_{925}(44,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{71}{90}\right)\)	\(e\left(\frac{37}{90}\right)\)	\(e\left(\frac{26}{45}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{17}{18}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{37}{45}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{89}{90}\right)\)	\(e\left(\frac{79}{90}\right)\)
\(\chi_{925}(144,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{41}{90}\right)\)	\(e\left(\frac{67}{90}\right)\)	\(e\left(\frac{41}{45}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{5}{18}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{22}{45}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{59}{90}\right)\)	\(e\left(\frac{19}{90}\right)\)
\(\chi_{925}(164,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{37}{90}\right)\)	\(e\left(\frac{89}{90}\right)\)	\(e\left(\frac{37}{45}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{1}{18}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{44}{45}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{73}{90}\right)\)	\(e\left(\frac{83}{90}\right)\)
\(\chi_{925}(194,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{31}{90}\right)\)	\(e\left(\frac{77}{90}\right)\)	\(e\left(\frac{31}{45}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{13}{18}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{32}{45}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{49}{90}\right)\)	\(e\left(\frac{89}{90}\right)\)
\(\chi_{925}(219,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{11}{90}\right)\)	\(e\left(\frac{7}{90}\right)\)	\(e\left(\frac{11}{45}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{11}{18}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{7}{45}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{29}{90}\right)\)	\(e\left(\frac{49}{90}\right)\)
\(\chi_{925}(229,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{89}{90}\right)\)	\(e\left(\frac{73}{90}\right)\)	\(e\left(\frac{44}{45}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{17}{18}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{28}{45}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{71}{90}\right)\)	\(e\left(\frac{61}{90}\right)\)
\(\chi_{925}(234,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{43}{90}\right)\)	\(e\left(\frac{11}{90}\right)\)	\(e\left(\frac{43}{45}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{7}{18}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{11}{45}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{7}{90}\right)\)	\(e\left(\frac{77}{90}\right)\)
\(\chi_{925}(329,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{59}{90}\right)\)	\(e\left(\frac{13}{90}\right)\)	\(e\left(\frac{14}{45}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{5}{18}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{13}{45}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{41}{90}\right)\)	\(e\left(\frac{1}{90}\right)\)
\(\chi_{925}(379,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{49}{90}\right)\)	\(e\left(\frac{23}{90}\right)\)	\(e\left(\frac{4}{45}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{13}{18}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{23}{45}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{31}{90}\right)\)	\(e\left(\frac{71}{90}\right)\)
\(\chi_{925}(404,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{29}{90}\right)\)	\(e\left(\frac{43}{90}\right)\)	\(e\left(\frac{29}{45}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{11}{18}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{43}{45}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{11}{90}\right)\)	\(e\left(\frac{31}{90}\right)\)
\(\chi_{925}(414,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{17}{90}\right)\)	\(e\left(\frac{19}{90}\right)\)	\(e\left(\frac{17}{45}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{17}{18}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{19}{45}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{53}{90}\right)\)	\(e\left(\frac{43}{90}\right)\)
\(\chi_{925}(419,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{61}{90}\right)\)	\(e\left(\frac{47}{90}\right)\)	\(e\left(\frac{16}{45}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{7}{18}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{2}{45}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{79}{90}\right)\)	\(e\left(\frac{59}{90}\right)\)
\(\chi_{925}(514,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{77}{90}\right)\)	\(e\left(\frac{49}{90}\right)\)	\(e\left(\frac{32}{45}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{5}{18}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{4}{45}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{23}{90}\right)\)	\(e\left(\frac{73}{90}\right)\)
\(\chi_{925}(534,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{73}{90}\right)\)	\(e\left(\frac{71}{90}\right)\)	\(e\left(\frac{28}{45}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{1}{18}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{26}{45}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{37}{90}\right)\)	\(e\left(\frac{47}{90}\right)\)
\(\chi_{925}(564,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{67}{90}\right)\)	\(e\left(\frac{59}{90}\right)\)	\(e\left(\frac{22}{45}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{13}{18}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{14}{45}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{13}{90}\right)\)	\(e\left(\frac{53}{90}\right)\)
\(\chi_{925}(589,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{47}{90}\right)\)	\(e\left(\frac{79}{90}\right)\)	\(e\left(\frac{2}{45}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{11}{18}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{34}{45}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{83}{90}\right)\)	\(e\left(\frac{13}{90}\right)\)
\(\chi_{925}(604,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{79}{90}\right)\)	\(e\left(\frac{83}{90}\right)\)	\(e\left(\frac{34}{45}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{7}{18}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{38}{45}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{61}{90}\right)\)	\(e\left(\frac{41}{90}\right)\)
\(\chi_{925}(719,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{1}{90}\right)\)	\(e\left(\frac{17}{90}\right)\)	\(e\left(\frac{1}{45}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{1}{18}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{17}{45}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{19}{90}\right)\)	\(e\left(\frac{29}{90}\right)\)
\(\chi_{925}(784,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{53}{90}\right)\)	\(e\left(\frac{1}{90}\right)\)	\(e\left(\frac{8}{45}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{17}{18}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{1}{45}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{17}{90}\right)\)	\(e\left(\frac{7}{90}\right)\)
\(\chi_{925}(789,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{7}{90}\right)\)	\(e\left(\frac{29}{90}\right)\)	\(e\left(\frac{7}{45}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{7}{18}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{29}{45}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{43}{90}\right)\)	\(e\left(\frac{23}{90}\right)\)
\(\chi_{925}(884,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{23}{90}\right)\)	\(e\left(\frac{31}{90}\right)\)	\(e\left(\frac{23}{45}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{5}{18}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{31}{45}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{77}{90}\right)\)	\(e\left(\frac{37}{90}\right)\)
\(\chi_{925}(904,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{19}{90}\right)\)	\(e\left(\frac{53}{90}\right)\)	\(e\left(\frac{19}{45}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{1}{18}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{8}{45}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{1}{90}\right)\)	\(e\left(\frac{11}{90}\right)\)

Introduction

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Groups

Database

Properties

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Basic properties

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Characters in Galois orbit

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	925.bz
Modulus	$925$
Conductor	$925$
Order	$90$
Real	no
Primitive	yes
Minimal	yes
Parity	even

Modulus:	\(925\)
Conductor:	\(925\)	sage:chi.conductor() pari:znconreyconductor(g,chi)
Order:	\(90\)	sage:chi.multiplicative_order() pari:charorder(g,chi)
Real:	no
Primitive:	yes	sage:chi.is_primitive() pari:#znconreyconductor(g,chi)==1
Minimal:	yes
Parity:	even	sage:chi.is_odd() pari:zncharisodd(g,chi)