LMFDB - Dirichlet character orbit 11025.jd

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(11025, base_ring=CyclotomicField(420)) M = H._module chi = DirichletCharacter(H, M([70,273,60])) chi.galois_orbit()

pari:[g,chi] = znchar(Mod(92,11025)) order = charorder(g,chi) [ charpow(g,chi, k % order) | k <-[1..order-1], gcd(k,order)==1 ]

Basic properties

Modulus:	$11025$
Conductor:	$11025$	sage:chi.conductor() pari:znconreyconductor(g,chi)
Order:	$420$	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:	$\Q(\zeta_{420})$
Fixed field:	Number field defined by a degree 420 polynomial (not computed)

First 31 of 96 characters in Galois orbit

Character	$-1$	$1$	$2$	$4$	$8$	$11$	$13$	$16$	$17$	$19$	$22$	$23$
$\chi_{11025}(92,\cdot)$	$1$	$1$	$e\left(\frac{223}{420}\right)$	$e\left(\frac{13}{210}\right)$	$e\left(\frac{83}{140}\right)$	$e\left(\frac{59}{210}\right)$	$e\left(\frac{167}{420}\right)$	$e\left(\frac{13}{105}\right)$	$e\left(\frac{73}{140}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{341}{420}\right)$	$e\left(\frac{173}{420}\right)$
$\chi_{11025}(113,\cdot)$	$1$	$1$	$e\left(\frac{149}{420}\right)$	$e\left(\frac{149}{210}\right)$	$e\left(\frac{9}{140}\right)$	$e\left(\frac{127}{210}\right)$	$e\left(\frac{121}{420}\right)$	$e\left(\frac{44}{105}\right)$	$e\left(\frac{99}{140}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{403}{420}\right)$	$e\left(\frac{319}{420}\right)$
$\chi_{11025}(302,\cdot)$	$1$	$1$	$e\left(\frac{71}{420}\right)$	$e\left(\frac{71}{210}\right)$	$e\left(\frac{71}{140}\right)$	$e\left(\frac{193}{210}\right)$	$e\left(\frac{379}{420}\right)$	$e\left(\frac{71}{105}\right)$	$e\left(\frac{81}{140}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{37}{420}\right)$	$e\left(\frac{121}{420}\right)$
$\chi_{11025}(428,\cdot)$	$1$	$1$	$e\left(\frac{257}{420}\right)$	$e\left(\frac{47}{210}\right)$	$e\left(\frac{117}{140}\right)$	$e\left(\frac{181}{210}\right)$	$e\left(\frac{313}{420}\right)$	$e\left(\frac{47}{105}\right)$	$e\left(\frac{27}{140}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{199}{420}\right)$	$e\left(\frac{367}{420}\right)$
$\chi_{11025}(533,\cdot)$	$1$	$1$	$e\left(\frac{13}{420}\right)$	$e\left(\frac{13}{210}\right)$	$e\left(\frac{13}{140}\right)$	$e\left(\frac{59}{210}\right)$	$e\left(\frac{377}{420}\right)$	$e\left(\frac{13}{105}\right)$	$e\left(\frac{3}{140}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{131}{420}\right)$	$e\left(\frac{383}{420}\right)$
$\chi_{11025}(617,\cdot)$	$1$	$1$	$e\left(\frac{263}{420}\right)$	$e\left(\frac{53}{210}\right)$	$e\left(\frac{123}{140}\right)$	$e\left(\frac{79}{210}\right)$	$e\left(\frac{67}{420}\right)$	$e\left(\frac{53}{105}\right)$	$e\left(\frac{93}{140}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{1}{420}\right)$	$e\left(\frac{253}{420}\right)$
$\chi_{11025}(722,\cdot)$	$1$	$1$	$e\left(\frac{187}{420}\right)$	$e\left(\frac{187}{210}\right)$	$e\left(\frac{47}{140}\right)$	$e\left(\frac{41}{210}\right)$	$e\left(\frac{383}{420}\right)$	$e\left(\frac{82}{105}\right)$	$e\left(\frac{97}{140}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{269}{420}\right)$	$e\left(\frac{17}{420}\right)$
$\chi_{11025}(848,\cdot)$	$1$	$1$	$e\left(\frac{121}{420}\right)$	$e\left(\frac{121}{210}\right)$	$e\left(\frac{121}{140}\right)$	$e\left(\frac{113}{210}\right)$	$e\left(\frac{149}{420}\right)$	$e\left(\frac{16}{105}\right)$	$e\left(\frac{71}{140}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{347}{420}\right)$	$e\left(\frac{11}{420}\right)$
$\chi_{11025}(1037,\cdot)$	$1$	$1$	$e\left(\frac{379}{420}\right)$	$e\left(\frac{169}{210}\right)$	$e\left(\frac{99}{140}\right)$	$e\left(\frac{137}{210}\right)$	$e\left(\frac{71}{420}\right)$	$e\left(\frac{64}{105}\right)$	$e\left(\frac{109}{140}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{233}{420}\right)$	$e\left(\frac{149}{420}\right)$
$\chi_{11025}(1058,\cdot)$	$1$	$1$	$e\left(\frac{53}{420}\right)$	$e\left(\frac{53}{210}\right)$	$e\left(\frac{53}{140}\right)$	$e\left(\frac{79}{210}\right)$	$e\left(\frac{277}{420}\right)$	$e\left(\frac{53}{105}\right)$	$e\left(\frac{23}{140}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{211}{420}\right)$	$e\left(\frac{43}{420}\right)$
$\chi_{11025}(1163,\cdot)$	$1$	$1$	$e\left(\frac{229}{420}\right)$	$e\left(\frac{19}{210}\right)$	$e\left(\frac{89}{140}\right)$	$e\left(\frac{167}{210}\right)$	$e\left(\frac{341}{420}\right)$	$e\left(\frac{19}{105}\right)$	$e\left(\frac{139}{140}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{143}{420}\right)$	$e\left(\frac{59}{420}\right)$
$\chi_{11025}(1247,\cdot)$	$1$	$1$	$e\left(\frac{227}{420}\right)$	$e\left(\frac{17}{210}\right)$	$e\left(\frac{87}{140}\right)$	$e\left(\frac{61}{210}\right)$	$e\left(\frac{283}{420}\right)$	$e\left(\frac{17}{105}\right)$	$e\left(\frac{117}{140}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{349}{420}\right)$	$e\left(\frac{97}{420}\right)$
$\chi_{11025}(1352,\cdot)$	$1$	$1$	$e\left(\frac{151}{420}\right)$	$e\left(\frac{151}{210}\right)$	$e\left(\frac{11}{140}\right)$	$e\left(\frac{23}{210}\right)$	$e\left(\frac{179}{420}\right)$	$e\left(\frac{46}{105}\right)$	$e\left(\frac{121}{140}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{197}{420}\right)$	$e\left(\frac{281}{420}\right)$
$\chi_{11025}(1478,\cdot)$	$1$	$1$	$e\left(\frac{337}{420}\right)$	$e\left(\frac{127}{210}\right)$	$e\left(\frac{57}{140}\right)$	$e\left(\frac{11}{210}\right)$	$e\left(\frac{113}{420}\right)$	$e\left(\frac{22}{105}\right)$	$e\left(\frac{67}{140}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{359}{420}\right)$	$e\left(\frac{107}{420}\right)$
$\chi_{11025}(1562,\cdot)$	$1$	$1$	$e\left(\frac{419}{420}\right)$	$e\left(\frac{209}{210}\right)$	$e\left(\frac{139}{140}\right)$	$e\left(\frac{157}{210}\right)$	$e\left(\frac{391}{420}\right)$	$e\left(\frac{104}{105}\right)$	$e\left(\frac{129}{140}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{313}{420}\right)$	$e\left(\frac{229}{420}\right)$
$\chi_{11025}(1688,\cdot)$	$1$	$1$	$e\left(\frac{269}{420}\right)$	$e\left(\frac{59}{210}\right)$	$e\left(\frac{129}{140}\right)$	$e\left(\frac{187}{210}\right)$	$e\left(\frac{241}{420}\right)$	$e\left(\frac{59}{105}\right)$	$e\left(\frac{19}{140}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{223}{420}\right)$	$e\left(\frac{139}{420}\right)$
$\chi_{11025}(1877,\cdot)$	$1$	$1$	$e\left(\frac{191}{420}\right)$	$e\left(\frac{191}{210}\right)$	$e\left(\frac{51}{140}\right)$	$e\left(\frac{43}{210}\right)$	$e\left(\frac{79}{420}\right)$	$e\left(\frac{86}{105}\right)$	$e\left(\frac{1}{140}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{277}{420}\right)$	$e\left(\frac{361}{420}\right)$
$\chi_{11025}(2003,\cdot)$	$1$	$1$	$e\left(\frac{377}{420}\right)$	$e\left(\frac{167}{210}\right)$	$e\left(\frac{97}{140}\right)$	$e\left(\frac{31}{210}\right)$	$e\left(\frac{13}{420}\right)$	$e\left(\frac{62}{105}\right)$	$e\left(\frac{87}{140}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{19}{420}\right)$	$e\left(\frac{187}{420}\right)$
$\chi_{11025}(2192,\cdot)$	$1$	$1$	$e\left(\frac{383}{420}\right)$	$e\left(\frac{173}{210}\right)$	$e\left(\frac{103}{140}\right)$	$e\left(\frac{139}{210}\right)$	$e\left(\frac{187}{420}\right)$	$e\left(\frac{68}{105}\right)$	$e\left(\frac{13}{140}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{241}{420}\right)$	$e\left(\frac{73}{420}\right)$
$\chi_{11025}(2297,\cdot)$	$1$	$1$	$e\left(\frac{307}{420}\right)$	$e\left(\frac{97}{210}\right)$	$e\left(\frac{27}{140}\right)$	$e\left(\frac{101}{210}\right)$	$e\left(\frac{83}{420}\right)$	$e\left(\frac{97}{105}\right)$	$e\left(\frac{17}{140}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{89}{420}\right)$	$e\left(\frac{257}{420}\right)$
$\chi_{11025}(2423,\cdot)$	$1$	$1$	$e\left(\frac{241}{420}\right)$	$e\left(\frac{31}{210}\right)$	$e\left(\frac{101}{140}\right)$	$e\left(\frac{173}{210}\right)$	$e\left(\frac{269}{420}\right)$	$e\left(\frac{31}{105}\right)$	$e\left(\frac{131}{140}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{167}{420}\right)$	$e\left(\frac{251}{420}\right)$
$\chi_{11025}(2612,\cdot)$	$1$	$1$	$e\left(\frac{79}{420}\right)$	$e\left(\frac{79}{210}\right)$	$e\left(\frac{79}{140}\right)$	$e\left(\frac{197}{210}\right)$	$e\left(\frac{191}{420}\right)$	$e\left(\frac{79}{105}\right)$	$e\left(\frac{29}{140}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{53}{420}\right)$	$e\left(\frac{389}{420}\right)$
$\chi_{11025}(2633,\cdot)$	$1$	$1$	$e\left(\frac{173}{420}\right)$	$e\left(\frac{173}{210}\right)$	$e\left(\frac{33}{140}\right)$	$e\left(\frac{139}{210}\right)$	$e\left(\frac{397}{420}\right)$	$e\left(\frac{68}{105}\right)$	$e\left(\frac{83}{140}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{31}{420}\right)$	$e\left(\frac{283}{420}\right)$
$\chi_{11025}(2738,\cdot)$	$1$	$1$	$e\left(\frac{349}{420}\right)$	$e\left(\frac{139}{210}\right)$	$e\left(\frac{69}{140}\right)$	$e\left(\frac{17}{210}\right)$	$e\left(\frac{41}{420}\right)$	$e\left(\frac{34}{105}\right)$	$e\left(\frac{59}{140}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{383}{420}\right)$	$e\left(\frac{299}{420}\right)$
$\chi_{11025}(2822,\cdot)$	$1$	$1$	$e\left(\frac{347}{420}\right)$	$e\left(\frac{137}{210}\right)$	$e\left(\frac{67}{140}\right)$	$e\left(\frac{121}{210}\right)$	$e\left(\frac{403}{420}\right)$	$e\left(\frac{32}{105}\right)$	$e\left(\frac{37}{140}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{169}{420}\right)$	$e\left(\frac{337}{420}\right)$
$\chi_{11025}(2927,\cdot)$	$1$	$1$	$e\left(\frac{271}{420}\right)$	$e\left(\frac{61}{210}\right)$	$e\left(\frac{131}{140}\right)$	$e\left(\frac{83}{210}\right)$	$e\left(\frac{299}{420}\right)$	$e\left(\frac{61}{105}\right)$	$e\left(\frac{41}{140}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{17}{420}\right)$	$e\left(\frac{101}{420}\right)$
$\chi_{11025}(2948,\cdot)$	$1$	$1$	$e\left(\frac{281}{420}\right)$	$e\left(\frac{71}{210}\right)$	$e\left(\frac{1}{140}\right)$	$e\left(\frac{193}{210}\right)$	$e\left(\frac{169}{420}\right)$	$e\left(\frac{71}{105}\right)$	$e\left(\frac{11}{140}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{247}{420}\right)$	$e\left(\frac{331}{420}\right)$
$\chi_{11025}(3053,\cdot)$	$1$	$1$	$e\left(\frac{37}{420}\right)$	$e\left(\frac{37}{210}\right)$	$e\left(\frac{37}{140}\right)$	$e\left(\frac{71}{210}\right)$	$e\left(\frac{233}{420}\right)$	$e\left(\frac{37}{105}\right)$	$e\left(\frac{127}{140}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{179}{420}\right)$	$e\left(\frac{347}{420}\right)$
$\chi_{11025}(3242,\cdot)$	$1$	$1$	$e\left(\frac{43}{420}\right)$	$e\left(\frac{43}{210}\right)$	$e\left(\frac{43}{140}\right)$	$e\left(\frac{179}{210}\right)$	$e\left(\frac{407}{420}\right)$	$e\left(\frac{43}{105}\right)$	$e\left(\frac{53}{140}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{401}{420}\right)$	$e\left(\frac{233}{420}\right)$
$\chi_{11025}(3263,\cdot)$	$1$	$1$	$e\left(\frac{389}{420}\right)$	$e\left(\frac{179}{210}\right)$	$e\left(\frac{109}{140}\right)$	$e\left(\frac{37}{210}\right)$	$e\left(\frac{361}{420}\right)$	$e\left(\frac{74}{105}\right)$	$e\left(\frac{79}{140}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{43}{420}\right)$	$e\left(\frac{379}{420}\right)$
$\chi_{11025}(3452,\cdot)$	$1$	$1$	$e\left(\frac{311}{420}\right)$	$e\left(\frac{101}{210}\right)$	$e\left(\frac{31}{140}\right)$	$e\left(\frac{103}{210}\right)$	$e\left(\frac{199}{420}\right)$	$e\left(\frac{101}{105}\right)$	$e\left(\frac{61}{140}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{97}{420}\right)$	$e\left(\frac{181}{420}\right)$

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	\(-1\)	\(1\)	\(2\)	\(4\)	\(8\)	\(11\)	\(13\)	\(16\)	\(17\)	\(19\)	\(22\)	\(23\)
\(\chi_{11025}(92,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{223}{420}\right)\)	\(e\left(\frac{13}{210}\right)\)	\(e\left(\frac{83}{140}\right)\)	\(e\left(\frac{59}{210}\right)\)	\(e\left(\frac{167}{420}\right)\)	\(e\left(\frac{13}{105}\right)\)	\(e\left(\frac{73}{140}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{341}{420}\right)\)	\(e\left(\frac{173}{420}\right)\)
\(\chi_{11025}(113,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{149}{420}\right)\)	\(e\left(\frac{149}{210}\right)\)	\(e\left(\frac{9}{140}\right)\)	\(e\left(\frac{127}{210}\right)\)	\(e\left(\frac{121}{420}\right)\)	\(e\left(\frac{44}{105}\right)\)	\(e\left(\frac{99}{140}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{403}{420}\right)\)	\(e\left(\frac{319}{420}\right)\)
\(\chi_{11025}(302,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{71}{420}\right)\)	\(e\left(\frac{71}{210}\right)\)	\(e\left(\frac{71}{140}\right)\)	\(e\left(\frac{193}{210}\right)\)	\(e\left(\frac{379}{420}\right)\)	\(e\left(\frac{71}{105}\right)\)	\(e\left(\frac{81}{140}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{37}{420}\right)\)	\(e\left(\frac{121}{420}\right)\)
\(\chi_{11025}(428,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{257}{420}\right)\)	\(e\left(\frac{47}{210}\right)\)	\(e\left(\frac{117}{140}\right)\)	\(e\left(\frac{181}{210}\right)\)	\(e\left(\frac{313}{420}\right)\)	\(e\left(\frac{47}{105}\right)\)	\(e\left(\frac{27}{140}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{199}{420}\right)\)	\(e\left(\frac{367}{420}\right)\)
\(\chi_{11025}(533,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{13}{420}\right)\)	\(e\left(\frac{13}{210}\right)\)	\(e\left(\frac{13}{140}\right)\)	\(e\left(\frac{59}{210}\right)\)	\(e\left(\frac{377}{420}\right)\)	\(e\left(\frac{13}{105}\right)\)	\(e\left(\frac{3}{140}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{131}{420}\right)\)	\(e\left(\frac{383}{420}\right)\)
\(\chi_{11025}(617,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{263}{420}\right)\)	\(e\left(\frac{53}{210}\right)\)	\(e\left(\frac{123}{140}\right)\)	\(e\left(\frac{79}{210}\right)\)	\(e\left(\frac{67}{420}\right)\)	\(e\left(\frac{53}{105}\right)\)	\(e\left(\frac{93}{140}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{1}{420}\right)\)	\(e\left(\frac{253}{420}\right)\)
\(\chi_{11025}(722,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{187}{420}\right)\)	\(e\left(\frac{187}{210}\right)\)	\(e\left(\frac{47}{140}\right)\)	\(e\left(\frac{41}{210}\right)\)	\(e\left(\frac{383}{420}\right)\)	\(e\left(\frac{82}{105}\right)\)	\(e\left(\frac{97}{140}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{269}{420}\right)\)	\(e\left(\frac{17}{420}\right)\)
\(\chi_{11025}(848,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{121}{420}\right)\)	\(e\left(\frac{121}{210}\right)\)	\(e\left(\frac{121}{140}\right)\)	\(e\left(\frac{113}{210}\right)\)	\(e\left(\frac{149}{420}\right)\)	\(e\left(\frac{16}{105}\right)\)	\(e\left(\frac{71}{140}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{347}{420}\right)\)	\(e\left(\frac{11}{420}\right)\)
\(\chi_{11025}(1037,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{379}{420}\right)\)	\(e\left(\frac{169}{210}\right)\)	\(e\left(\frac{99}{140}\right)\)	\(e\left(\frac{137}{210}\right)\)	\(e\left(\frac{71}{420}\right)\)	\(e\left(\frac{64}{105}\right)\)	\(e\left(\frac{109}{140}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{233}{420}\right)\)	\(e\left(\frac{149}{420}\right)\)
\(\chi_{11025}(1058,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{53}{420}\right)\)	\(e\left(\frac{53}{210}\right)\)	\(e\left(\frac{53}{140}\right)\)	\(e\left(\frac{79}{210}\right)\)	\(e\left(\frac{277}{420}\right)\)	\(e\left(\frac{53}{105}\right)\)	\(e\left(\frac{23}{140}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{211}{420}\right)\)	\(e\left(\frac{43}{420}\right)\)
\(\chi_{11025}(1163,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{229}{420}\right)\)	\(e\left(\frac{19}{210}\right)\)	\(e\left(\frac{89}{140}\right)\)	\(e\left(\frac{167}{210}\right)\)	\(e\left(\frac{341}{420}\right)\)	\(e\left(\frac{19}{105}\right)\)	\(e\left(\frac{139}{140}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{143}{420}\right)\)	\(e\left(\frac{59}{420}\right)\)
\(\chi_{11025}(1247,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{227}{420}\right)\)	\(e\left(\frac{17}{210}\right)\)	\(e\left(\frac{87}{140}\right)\)	\(e\left(\frac{61}{210}\right)\)	\(e\left(\frac{283}{420}\right)\)	\(e\left(\frac{17}{105}\right)\)	\(e\left(\frac{117}{140}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{349}{420}\right)\)	\(e\left(\frac{97}{420}\right)\)
\(\chi_{11025}(1352,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{151}{420}\right)\)	\(e\left(\frac{151}{210}\right)\)	\(e\left(\frac{11}{140}\right)\)	\(e\left(\frac{23}{210}\right)\)	\(e\left(\frac{179}{420}\right)\)	\(e\left(\frac{46}{105}\right)\)	\(e\left(\frac{121}{140}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{197}{420}\right)\)	\(e\left(\frac{281}{420}\right)\)
\(\chi_{11025}(1478,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{337}{420}\right)\)	\(e\left(\frac{127}{210}\right)\)	\(e\left(\frac{57}{140}\right)\)	\(e\left(\frac{11}{210}\right)\)	\(e\left(\frac{113}{420}\right)\)	\(e\left(\frac{22}{105}\right)\)	\(e\left(\frac{67}{140}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{359}{420}\right)\)	\(e\left(\frac{107}{420}\right)\)
\(\chi_{11025}(1562,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{419}{420}\right)\)	\(e\left(\frac{209}{210}\right)\)	\(e\left(\frac{139}{140}\right)\)	\(e\left(\frac{157}{210}\right)\)	\(e\left(\frac{391}{420}\right)\)	\(e\left(\frac{104}{105}\right)\)	\(e\left(\frac{129}{140}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{313}{420}\right)\)	\(e\left(\frac{229}{420}\right)\)
\(\chi_{11025}(1688,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{269}{420}\right)\)	\(e\left(\frac{59}{210}\right)\)	\(e\left(\frac{129}{140}\right)\)	\(e\left(\frac{187}{210}\right)\)	\(e\left(\frac{241}{420}\right)\)	\(e\left(\frac{59}{105}\right)\)	\(e\left(\frac{19}{140}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{223}{420}\right)\)	\(e\left(\frac{139}{420}\right)\)
\(\chi_{11025}(1877,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{191}{420}\right)\)	\(e\left(\frac{191}{210}\right)\)	\(e\left(\frac{51}{140}\right)\)	\(e\left(\frac{43}{210}\right)\)	\(e\left(\frac{79}{420}\right)\)	\(e\left(\frac{86}{105}\right)\)	\(e\left(\frac{1}{140}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{277}{420}\right)\)	\(e\left(\frac{361}{420}\right)\)
\(\chi_{11025}(2003,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{377}{420}\right)\)	\(e\left(\frac{167}{210}\right)\)	\(e\left(\frac{97}{140}\right)\)	\(e\left(\frac{31}{210}\right)\)	\(e\left(\frac{13}{420}\right)\)	\(e\left(\frac{62}{105}\right)\)	\(e\left(\frac{87}{140}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{19}{420}\right)\)	\(e\left(\frac{187}{420}\right)\)
\(\chi_{11025}(2192,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{383}{420}\right)\)	\(e\left(\frac{173}{210}\right)\)	\(e\left(\frac{103}{140}\right)\)	\(e\left(\frac{139}{210}\right)\)	\(e\left(\frac{187}{420}\right)\)	\(e\left(\frac{68}{105}\right)\)	\(e\left(\frac{13}{140}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{241}{420}\right)\)	\(e\left(\frac{73}{420}\right)\)
\(\chi_{11025}(2297,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{307}{420}\right)\)	\(e\left(\frac{97}{210}\right)\)	\(e\left(\frac{27}{140}\right)\)	\(e\left(\frac{101}{210}\right)\)	\(e\left(\frac{83}{420}\right)\)	\(e\left(\frac{97}{105}\right)\)	\(e\left(\frac{17}{140}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{89}{420}\right)\)	\(e\left(\frac{257}{420}\right)\)
\(\chi_{11025}(2423,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{241}{420}\right)\)	\(e\left(\frac{31}{210}\right)\)	\(e\left(\frac{101}{140}\right)\)	\(e\left(\frac{173}{210}\right)\)	\(e\left(\frac{269}{420}\right)\)	\(e\left(\frac{31}{105}\right)\)	\(e\left(\frac{131}{140}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{167}{420}\right)\)	\(e\left(\frac{251}{420}\right)\)
\(\chi_{11025}(2612,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{79}{420}\right)\)	\(e\left(\frac{79}{210}\right)\)	\(e\left(\frac{79}{140}\right)\)	\(e\left(\frac{197}{210}\right)\)	\(e\left(\frac{191}{420}\right)\)	\(e\left(\frac{79}{105}\right)\)	\(e\left(\frac{29}{140}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{53}{420}\right)\)	\(e\left(\frac{389}{420}\right)\)
\(\chi_{11025}(2633,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{173}{420}\right)\)	\(e\left(\frac{173}{210}\right)\)	\(e\left(\frac{33}{140}\right)\)	\(e\left(\frac{139}{210}\right)\)	\(e\left(\frac{397}{420}\right)\)	\(e\left(\frac{68}{105}\right)\)	\(e\left(\frac{83}{140}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{31}{420}\right)\)	\(e\left(\frac{283}{420}\right)\)
\(\chi_{11025}(2738,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{349}{420}\right)\)	\(e\left(\frac{139}{210}\right)\)	\(e\left(\frac{69}{140}\right)\)	\(e\left(\frac{17}{210}\right)\)	\(e\left(\frac{41}{420}\right)\)	\(e\left(\frac{34}{105}\right)\)	\(e\left(\frac{59}{140}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{383}{420}\right)\)	\(e\left(\frac{299}{420}\right)\)
\(\chi_{11025}(2822,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{347}{420}\right)\)	\(e\left(\frac{137}{210}\right)\)	\(e\left(\frac{67}{140}\right)\)	\(e\left(\frac{121}{210}\right)\)	\(e\left(\frac{403}{420}\right)\)	\(e\left(\frac{32}{105}\right)\)	\(e\left(\frac{37}{140}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{169}{420}\right)\)	\(e\left(\frac{337}{420}\right)\)
\(\chi_{11025}(2927,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{271}{420}\right)\)	\(e\left(\frac{61}{210}\right)\)	\(e\left(\frac{131}{140}\right)\)	\(e\left(\frac{83}{210}\right)\)	\(e\left(\frac{299}{420}\right)\)	\(e\left(\frac{61}{105}\right)\)	\(e\left(\frac{41}{140}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{17}{420}\right)\)	\(e\left(\frac{101}{420}\right)\)
\(\chi_{11025}(2948,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{281}{420}\right)\)	\(e\left(\frac{71}{210}\right)\)	\(e\left(\frac{1}{140}\right)\)	\(e\left(\frac{193}{210}\right)\)	\(e\left(\frac{169}{420}\right)\)	\(e\left(\frac{71}{105}\right)\)	\(e\left(\frac{11}{140}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{247}{420}\right)\)	\(e\left(\frac{331}{420}\right)\)
\(\chi_{11025}(3053,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{37}{420}\right)\)	\(e\left(\frac{37}{210}\right)\)	\(e\left(\frac{37}{140}\right)\)	\(e\left(\frac{71}{210}\right)\)	\(e\left(\frac{233}{420}\right)\)	\(e\left(\frac{37}{105}\right)\)	\(e\left(\frac{127}{140}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{179}{420}\right)\)	\(e\left(\frac{347}{420}\right)\)
\(\chi_{11025}(3242,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{43}{420}\right)\)	\(e\left(\frac{43}{210}\right)\)	\(e\left(\frac{43}{140}\right)\)	\(e\left(\frac{179}{210}\right)\)	\(e\left(\frac{407}{420}\right)\)	\(e\left(\frac{43}{105}\right)\)	\(e\left(\frac{53}{140}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{401}{420}\right)\)	\(e\left(\frac{233}{420}\right)\)
\(\chi_{11025}(3263,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{389}{420}\right)\)	\(e\left(\frac{179}{210}\right)\)	\(e\left(\frac{109}{140}\right)\)	\(e\left(\frac{37}{210}\right)\)	\(e\left(\frac{361}{420}\right)\)	\(e\left(\frac{74}{105}\right)\)	\(e\left(\frac{79}{140}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{43}{420}\right)\)	\(e\left(\frac{379}{420}\right)\)
\(\chi_{11025}(3452,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{311}{420}\right)\)	\(e\left(\frac{101}{210}\right)\)	\(e\left(\frac{31}{140}\right)\)	\(e\left(\frac{103}{210}\right)\)	\(e\left(\frac{199}{420}\right)\)	\(e\left(\frac{101}{105}\right)\)	\(e\left(\frac{61}{140}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{97}{420}\right)\)	\(e\left(\frac{181}{420}\right)\)

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First 31 of 96 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	11025.jd
Modulus	$11025$
Conductor	$11025$
Order	$420$
Real	no
Primitive	yes
Minimal	yes
Parity	even

Modulus:	\(11025\)
Conductor:	\(11025\)	sage:chi.conductor() pari:znconreyconductor(g,chi)
Order:	\(420\)	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)