LMFDB - Group of Dirichlet characters of modulus 10110

Show commands: PariGP / SageMath

sage: H = DirichletGroup(10110)

pari: g = idealstar(,10110,2)

Character group

sage: G.order() pari: g.no
Order	=	2688
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{4}\times C_{336}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{10110}(3371,\cdot)$, $\chi_{10110}(6067,\cdot)$, $\chi_{10110}(1021,\cdot)$

First 32 of 2688 characters

Each row describes a character. When available, the columns show the orbit label, order of the character, whether the character is primitive, and several values of the character.

Character	Orbit	Order	Primitive	$-1$	$1$	$7$	$11$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$
$\chi_{10110}(1,\cdot)$	10110.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{10110}(7,\cdot)$	10110.ed	56	no	$-1$	$1$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{47}{56}\right)$	$e\left(\frac{25}{28}\right)$	$e\left(\frac{43}{56}\right)$	$e\left(\frac{37}{56}\right)$	$e\left(\frac{27}{56}\right)$	$e\left(\frac{41}{56}\right)$	$e\left(\frac{33}{56}\right)$	$e\left(\frac{9}{28}\right)$	$e\left(\frac{3}{14}\right)$
$\chi_{10110}(11,\cdot)$	10110.eq	112	no	$1$	$1$	$e\left(\frac{47}{56}\right)$	$e\left(\frac{59}{112}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{9}{112}\right)$	$e\left(\frac{53}{112}\right)$	$e\left(\frac{5}{112}\right)$	$e\left(\frac{33}{112}\right)$	$e\left(\frac{45}{112}\right)$	$e\left(\frac{9}{28}\right)$	$e\left(\frac{13}{28}\right)$
$\chi_{10110}(13,\cdot)$	10110.eg	84	no	$-1$	$1$	$e\left(\frac{25}{28}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{1}{84}\right)$	$e\left(\frac{5}{28}\right)$	$e\left(\frac{29}{42}\right)$	$e\left(\frac{13}{84}\right)$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{67}{84}\right)$	$e\left(\frac{10}{21}\right)$
$\chi_{10110}(17,\cdot)$	10110.ev	112	no	$-1$	$1$	$e\left(\frac{43}{56}\right)$	$e\left(\frac{9}{112}\right)$	$e\left(\frac{5}{28}\right)$	$e\left(\frac{111}{112}\right)$	$e\left(\frac{47}{112}\right)$	$e\left(\frac{43}{112}\right)$	$e\left(\frac{99}{112}\right)$	$e\left(\frac{79}{112}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{11}{28}\right)$
$\chi_{10110}(19,\cdot)$	10110.fg	336	no	$-1$	$1$	$e\left(\frac{37}{56}\right)$	$e\left(\frac{53}{112}\right)$	$e\left(\frac{29}{42}\right)$	$e\left(\frac{47}{112}\right)$	$e\left(\frac{121}{336}\right)$	$e\left(\frac{265}{336}\right)$	$e\left(\frac{125}{336}\right)$	$e\left(\frac{257}{336}\right)$	$e\left(\frac{43}{84}\right)$	$e\left(\frac{31}{84}\right)$
$\chi_{10110}(23,\cdot)$	10110.fk	336	no	$-1$	$1$	$e\left(\frac{27}{56}\right)$	$e\left(\frac{5}{112}\right)$	$e\left(\frac{13}{84}\right)$	$e\left(\frac{43}{112}\right)$	$e\left(\frac{265}{336}\right)$	$e\left(\frac{277}{336}\right)$	$e\left(\frac{53}{336}\right)$	$e\left(\frac{281}{336}\right)$	$e\left(\frac{13}{21}\right)$	$e\left(\frac{37}{84}\right)$
$\chi_{10110}(29,\cdot)$	10110.fh	336	no	$1$	$1$	$e\left(\frac{41}{56}\right)$	$e\left(\frac{33}{112}\right)$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{99}{112}\right)$	$e\left(\frac{125}{336}\right)$	$e\left(\frac{53}{336}\right)$	$e\left(\frac{25}{336}\right)$	$e\left(\frac{85}{336}\right)$	$e\left(\frac{59}{84}\right)$	$e\left(\frac{65}{84}\right)$
$\chi_{10110}(31,\cdot)$	10110.fm	336	no	$-1$	$1$	$e\left(\frac{33}{56}\right)$	$e\left(\frac{45}{112}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{79}{112}\right)$	$e\left(\frac{257}{336}\right)$	$e\left(\frac{281}{336}\right)$	$e\left(\frac{85}{336}\right)$	$e\left(\frac{121}{336}\right)$	$e\left(\frac{41}{84}\right)$	$e\left(\frac{11}{84}\right)$
$\chi_{10110}(37,\cdot)$	10110.el	84	no	$-1$	$1$	$e\left(\frac{9}{28}\right)$	$e\left(\frac{9}{28}\right)$	$e\left(\frac{67}{84}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{43}{84}\right)$	$e\left(\frac{13}{21}\right)$	$e\left(\frac{59}{84}\right)$	$e\left(\frac{41}{84}\right)$	$e\left(\frac{37}{84}\right)$	$e\left(\frac{19}{21}\right)$
$\chi_{10110}(41,\cdot)$	10110.eo	84	no	$-1$	$1$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{13}{28}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{11}{28}\right)$	$e\left(\frac{31}{84}\right)$	$e\left(\frac{37}{84}\right)$	$e\left(\frac{65}{84}\right)$	$e\left(\frac{11}{84}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{23}{42}\right)$
$\chi_{10110}(43,\cdot)$	10110.dx	56	no	$-1$	$1$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{39}{56}\right)$	$e\left(\frac{27}{28}\right)$	$e\left(\frac{47}{56}\right)$	$e\left(\frac{45}{56}\right)$	$e\left(\frac{23}{56}\right)$	$e\left(\frac{9}{56}\right)$	$e\left(\frac{25}{56}\right)$	$e\left(\frac{3}{28}\right)$	$e\left(\frac{1}{14}\right)$
$\chi_{10110}(47,\cdot)$	10110.dw	56	no	$1$	$1$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{17}{56}\right)$	$e\left(\frac{1}{28}\right)$	$e\left(\frac{9}{56}\right)$	$e\left(\frac{39}{56}\right)$	$e\left(\frac{33}{56}\right)$	$e\left(\frac{47}{56}\right)$	$e\left(\frac{3}{56}\right)$	$e\left(\frac{25}{28}\right)$	$e\left(\frac{3}{7}\right)$
$\chi_{10110}(49,\cdot)$	10110.cv	28	no	$1$	$1$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{19}{28}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{15}{28}\right)$	$e\left(\frac{9}{28}\right)$	$e\left(\frac{27}{28}\right)$	$e\left(\frac{13}{28}\right)$	$e\left(\frac{5}{28}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{3}{7}\right)$
$\chi_{10110}(53,\cdot)$	10110.fj	336	no	$-1$	$1$	$e\left(\frac{1}{56}\right)$	$e\left(\frac{107}{112}\right)$	$e\left(\frac{1}{84}\right)$	$e\left(\frac{13}{112}\right)$	$e\left(\frac{295}{336}\right)$	$e\left(\frac{115}{336}\right)$	$e\left(\frac{59}{336}\right)$	$e\left(\frac{167}{336}\right)$	$e\left(\frac{23}{42}\right)$	$e\left(\frac{19}{84}\right)$
$\chi_{10110}(59,\cdot)$	10110.cf	16	no	$1$	$1$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{9}{16}\right)$	$-1$	$e\left(\frac{11}{16}\right)$	$e\left(\frac{7}{16}\right)$	$e\left(\frac{15}{16}\right)$	$e\left(\frac{11}{16}\right)$	$e\left(\frac{15}{16}\right)$	$i$	$-i$
$\chi_{10110}(61,\cdot)$	10110.fm	336	no	$-1$	$1$	$e\left(\frac{19}{56}\right)$	$e\left(\frac{31}{112}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{37}{112}\right)$	$e\left(\frac{299}{336}\right)$	$e\left(\frac{323}{336}\right)$	$e\left(\frac{295}{336}\right)$	$e\left(\frac{163}{336}\right)$	$e\left(\frac{83}{84}\right)$	$e\left(\frac{53}{84}\right)$
$\chi_{10110}(67,\cdot)$	10110.fl	336	no	$1$	$1$	$e\left(\frac{41}{56}\right)$	$e\left(\frac{47}{112}\right)$	$e\left(\frac{55}{84}\right)$	$e\left(\frac{1}{112}\right)$	$e\left(\frac{307}{336}\right)$	$e\left(\frac{319}{336}\right)$	$e\left(\frac{95}{336}\right)$	$e\left(\frac{323}{336}\right)$	$e\left(\frac{13}{21}\right)$	$e\left(\frac{37}{84}\right)$
$\chi_{10110}(71,\cdot)$	10110.fn	336	no	$1$	$1$	$e\left(\frac{47}{56}\right)$	$e\left(\frac{3}{112}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{65}{112}\right)$	$e\left(\frac{215}{336}\right)$	$e\left(\frac{71}{336}\right)$	$e\left(\frac{43}{336}\right)$	$e\left(\frac{79}{336}\right)$	$e\left(\frac{83}{84}\right)$	$e\left(\frac{11}{84}\right)$
$\chi_{10110}(73,\cdot)$	10110.fl	336	no	$1$	$1$	$e\left(\frac{51}{56}\right)$	$e\left(\frac{53}{112}\right)$	$e\left(\frac{65}{84}\right)$	$e\left(\frac{75}{112}\right)$	$e\left(\frac{65}{336}\right)$	$e\left(\frac{293}{336}\right)$	$e\left(\frac{181}{336}\right)$	$e\left(\frac{145}{336}\right)$	$e\left(\frac{2}{21}\right)$	$e\left(\frac{59}{84}\right)$
$\chi_{10110}(77,\cdot)$	10110.ev	112	no	$-1$	$1$	$e\left(\frac{3}{56}\right)$	$e\left(\frac{41}{112}\right)$	$e\left(\frac{1}{28}\right)$	$e\left(\frac{95}{112}\right)$	$e\left(\frac{15}{112}\right)$	$e\left(\frac{59}{112}\right)$	$e\left(\frac{3}{112}\right)$	$e\left(\frac{111}{112}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{19}{28}\right)$
$\chi_{10110}(79,\cdot)$	10110.ca	14	no	$1$	$1$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{5}{14}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{5}{7}\right)$
$\chi_{10110}(83,\cdot)$	10110.fk	336	no	$-1$	$1$	$e\left(\frac{31}{56}\right)$	$e\left(\frac{41}{112}\right)$	$e\left(\frac{73}{84}\right)$	$e\left(\frac{39}{112}\right)$	$e\left(\frac{157}{336}\right)$	$e\left(\frac{121}{336}\right)$	$e\left(\frac{233}{336}\right)$	$e\left(\frac{221}{336}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{1}{84}\right)$
$\chi_{10110}(89,\cdot)$	10110.fh	336	no	$1$	$1$	$e\left(\frac{13}{56}\right)$	$e\left(\frac{61}{112}\right)$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{71}{112}\right)$	$e\left(\frac{41}{336}\right)$	$e\left(\frac{305}{336}\right)$	$e\left(\frac{277}{336}\right)$	$e\left(\frac{1}{336}\right)$	$e\left(\frac{59}{84}\right)$	$e\left(\frac{65}{84}\right)$
$\chi_{10110}(91,\cdot)$	10110.fc	168	no	$1$	$1$	$e\left(\frac{3}{28}\right)$	$e\left(\frac{55}{56}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{53}{56}\right)$	$e\left(\frac{59}{168}\right)$	$e\left(\frac{107}{168}\right)$	$e\left(\frac{79}{168}\right)$	$e\left(\frac{67}{168}\right)$	$e\left(\frac{5}{42}\right)$	$e\left(\frac{29}{42}\right)$
$\chi_{10110}(97,\cdot)$	10110.et	112	no	$1$	$1$	$e\left(\frac{29}{56}\right)$	$e\left(\frac{107}{112}\right)$	$e\left(\frac{5}{28}\right)$	$e\left(\frac{69}{112}\right)$	$e\left(\frac{5}{112}\right)$	$e\left(\frac{57}{112}\right)$	$e\left(\frac{57}{112}\right)$	$e\left(\frac{37}{112}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{11}{28}\right)$
$\chi_{10110}(101,\cdot)$	10110.fn	336	no	$1$	$1$	$e\left(\frac{3}{56}\right)$	$e\left(\frac{55}{112}\right)$	$e\left(\frac{20}{21}\right)$	$e\left(\frac{109}{112}\right)$	$e\left(\frac{59}{336}\right)$	$e\left(\frac{107}{336}\right)$	$e\left(\frac{79}{336}\right)$	$e\left(\frac{67}{336}\right)$	$e\left(\frac{47}{84}\right)$	$e\left(\frac{71}{84}\right)$
$\chi_{10110}(103,\cdot)$	10110.db	28	no	$-1$	$1$	$e\left(\frac{27}{28}\right)$	$e\left(\frac{27}{28}\right)$	$e\left(\frac{11}{28}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{15}{28}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{3}{28}\right)$	$e\left(\frac{13}{28}\right)$	$e\left(\frac{9}{28}\right)$	$e\left(\frac{5}{7}\right)$
$\chi_{10110}(107,\cdot)$	10110.ff	168	no	$1$	$1$	$e\left(\frac{13}{14}\right)$	$e\left(\frac{3}{56}\right)$	$e\left(\frac{59}{84}\right)$	$e\left(\frac{23}{56}\right)$	$e\left(\frac{103}{168}\right)$	$e\left(\frac{85}{168}\right)$	$e\left(\frac{71}{168}\right)$	$e\left(\frac{107}{168}\right)$	$e\left(\frac{47}{84}\right)$	$e\left(\frac{2}{21}\right)$
$\chi_{10110}(109,\cdot)$	10110.fg	336	no	$-1$	$1$	$e\left(\frac{15}{56}\right)$	$e\left(\frac{23}{112}\right)$	$e\left(\frac{25}{42}\right)$	$e\left(\frac{69}{112}\right)$	$e\left(\frac{323}{336}\right)$	$e\left(\frac{227}{336}\right)$	$e\left(\frac{31}{336}\right)$	$e\left(\frac{139}{336}\right)$	$e\left(\frac{53}{84}\right)$	$e\left(\frac{5}{84}\right)$
$\chi_{10110}(113,\cdot)$	10110.ez	168	no	$1$	$1$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{23}{56}\right)$	$e\left(\frac{65}{84}\right)$	$e\left(\frac{55}{56}\right)$	$e\left(\frac{43}{168}\right)$	$e\left(\frac{157}{168}\right)$	$e\left(\frac{59}{168}\right)$	$e\left(\frac{167}{168}\right)$	$e\left(\frac{29}{84}\right)$	$e\left(\frac{20}{21}\right)$
$\chi_{10110}(119,\cdot)$	10110.ew	112	no	$1$	$1$	$e\left(\frac{55}{56}\right)$	$e\left(\frac{103}{112}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{85}{112}\right)$	$e\left(\frac{9}{112}\right)$	$e\left(\frac{97}{112}\right)$	$e\left(\frac{69}{112}\right)$	$e\left(\frac{33}{112}\right)$	$e\left(\frac{15}{28}\right)$	$e\left(\frac{17}{28}\right)$

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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 $\F_{q}$

Modulus	$10110$
Structure	\(C_{2}\times C_{4}\times C_{336}\)
Order	$2688$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(7\)	\(11\)	\(13\)	\(17\)	\(19\)	\(23\)	\(29\)	\(31\)	\(37\)	\(41\)
\(\chi_{10110}(1,\cdot)\)	10110.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{10110}(7,\cdot)\)	10110.ed	56	no	\(-1\)	\(1\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{47}{56}\right)\)	\(e\left(\frac{25}{28}\right)\)	\(e\left(\frac{43}{56}\right)\)	\(e\left(\frac{37}{56}\right)\)	\(e\left(\frac{27}{56}\right)\)	\(e\left(\frac{41}{56}\right)\)	\(e\left(\frac{33}{56}\right)\)	\(e\left(\frac{9}{28}\right)\)	\(e\left(\frac{3}{14}\right)\)
\(\chi_{10110}(11,\cdot)\)	10110.eq	112	no	\(1\)	\(1\)	\(e\left(\frac{47}{56}\right)\)	\(e\left(\frac{59}{112}\right)\)	\(e\left(\frac{1}{7}\right)\)	\(e\left(\frac{9}{112}\right)\)	\(e\left(\frac{53}{112}\right)\)	\(e\left(\frac{5}{112}\right)\)	\(e\left(\frac{33}{112}\right)\)	\(e\left(\frac{45}{112}\right)\)	\(e\left(\frac{9}{28}\right)\)	\(e\left(\frac{13}{28}\right)\)
\(\chi_{10110}(13,\cdot)\)	10110.eg	84	no	\(-1\)	\(1\)	\(e\left(\frac{25}{28}\right)\)	\(e\left(\frac{1}{7}\right)\)	\(e\left(\frac{1}{84}\right)\)	\(e\left(\frac{5}{28}\right)\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{13}{84}\right)\)	\(e\left(\frac{31}{42}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{67}{84}\right)\)	\(e\left(\frac{10}{21}\right)\)
\(\chi_{10110}(17,\cdot)\)	10110.ev	112	no	\(-1\)	\(1\)	\(e\left(\frac{43}{56}\right)\)	\(e\left(\frac{9}{112}\right)\)	\(e\left(\frac{5}{28}\right)\)	\(e\left(\frac{111}{112}\right)\)	\(e\left(\frac{47}{112}\right)\)	\(e\left(\frac{43}{112}\right)\)	\(e\left(\frac{99}{112}\right)\)	\(e\left(\frac{79}{112}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{11}{28}\right)\)
\(\chi_{10110}(19,\cdot)\)	10110.fg	336	no	\(-1\)	\(1\)	\(e\left(\frac{37}{56}\right)\)	\(e\left(\frac{53}{112}\right)\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{47}{112}\right)\)	\(e\left(\frac{121}{336}\right)\)	\(e\left(\frac{265}{336}\right)\)	\(e\left(\frac{125}{336}\right)\)	\(e\left(\frac{257}{336}\right)\)	\(e\left(\frac{43}{84}\right)\)	\(e\left(\frac{31}{84}\right)\)
\(\chi_{10110}(23,\cdot)\)	10110.fk	336	no	\(-1\)	\(1\)	\(e\left(\frac{27}{56}\right)\)	\(e\left(\frac{5}{112}\right)\)	\(e\left(\frac{13}{84}\right)\)	\(e\left(\frac{43}{112}\right)\)	\(e\left(\frac{265}{336}\right)\)	\(e\left(\frac{277}{336}\right)\)	\(e\left(\frac{53}{336}\right)\)	\(e\left(\frac{281}{336}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{37}{84}\right)\)
\(\chi_{10110}(29,\cdot)\)	10110.fh	336	no	\(1\)	\(1\)	\(e\left(\frac{41}{56}\right)\)	\(e\left(\frac{33}{112}\right)\)	\(e\left(\frac{31}{42}\right)\)	\(e\left(\frac{99}{112}\right)\)	\(e\left(\frac{125}{336}\right)\)	\(e\left(\frac{53}{336}\right)\)	\(e\left(\frac{25}{336}\right)\)	\(e\left(\frac{85}{336}\right)\)	\(e\left(\frac{59}{84}\right)\)	\(e\left(\frac{65}{84}\right)\)
\(\chi_{10110}(31,\cdot)\)	10110.fm	336	no	\(-1\)	\(1\)	\(e\left(\frac{33}{56}\right)\)	\(e\left(\frac{45}{112}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{79}{112}\right)\)	\(e\left(\frac{257}{336}\right)\)	\(e\left(\frac{281}{336}\right)\)	\(e\left(\frac{85}{336}\right)\)	\(e\left(\frac{121}{336}\right)\)	\(e\left(\frac{41}{84}\right)\)	\(e\left(\frac{11}{84}\right)\)
\(\chi_{10110}(37,\cdot)\)	10110.el	84	no	\(-1\)	\(1\)	\(e\left(\frac{9}{28}\right)\)	\(e\left(\frac{9}{28}\right)\)	\(e\left(\frac{67}{84}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{43}{84}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{59}{84}\right)\)	\(e\left(\frac{41}{84}\right)\)	\(e\left(\frac{37}{84}\right)\)	\(e\left(\frac{19}{21}\right)\)
\(\chi_{10110}(41,\cdot)\)	10110.eo	84	no	\(-1\)	\(1\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{13}{28}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{11}{28}\right)\)	\(e\left(\frac{31}{84}\right)\)	\(e\left(\frac{37}{84}\right)\)	\(e\left(\frac{65}{84}\right)\)	\(e\left(\frac{11}{84}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{23}{42}\right)\)
\(\chi_{10110}(43,\cdot)\)	10110.dx	56	no	\(-1\)	\(1\)	\(e\left(\frac{4}{7}\right)\)	\(e\left(\frac{39}{56}\right)\)	\(e\left(\frac{27}{28}\right)\)	\(e\left(\frac{47}{56}\right)\)	\(e\left(\frac{45}{56}\right)\)	\(e\left(\frac{23}{56}\right)\)	\(e\left(\frac{9}{56}\right)\)	\(e\left(\frac{25}{56}\right)\)	\(e\left(\frac{3}{28}\right)\)	\(e\left(\frac{1}{14}\right)\)
\(\chi_{10110}(47,\cdot)\)	10110.dw	56	no	\(1\)	\(1\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{17}{56}\right)\)	\(e\left(\frac{1}{28}\right)\)	\(e\left(\frac{9}{56}\right)\)	\(e\left(\frac{39}{56}\right)\)	\(e\left(\frac{33}{56}\right)\)	\(e\left(\frac{47}{56}\right)\)	\(e\left(\frac{3}{56}\right)\)	\(e\left(\frac{25}{28}\right)\)	\(e\left(\frac{3}{7}\right)\)
\(\chi_{10110}(49,\cdot)\)	10110.cv	28	no	\(1\)	\(1\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{19}{28}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{15}{28}\right)\)	\(e\left(\frac{9}{28}\right)\)	\(e\left(\frac{27}{28}\right)\)	\(e\left(\frac{13}{28}\right)\)	\(e\left(\frac{5}{28}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{3}{7}\right)\)
\(\chi_{10110}(53,\cdot)\)	10110.fj	336	no	\(-1\)	\(1\)	\(e\left(\frac{1}{56}\right)\)	\(e\left(\frac{107}{112}\right)\)	\(e\left(\frac{1}{84}\right)\)	\(e\left(\frac{13}{112}\right)\)	\(e\left(\frac{295}{336}\right)\)	\(e\left(\frac{115}{336}\right)\)	\(e\left(\frac{59}{336}\right)\)	\(e\left(\frac{167}{336}\right)\)	\(e\left(\frac{23}{42}\right)\)	\(e\left(\frac{19}{84}\right)\)
\(\chi_{10110}(59,\cdot)\)	10110.cf	16	no	\(1\)	\(1\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{9}{16}\right)\)	\(-1\)	\(e\left(\frac{11}{16}\right)\)	\(e\left(\frac{7}{16}\right)\)	\(e\left(\frac{15}{16}\right)\)	\(e\left(\frac{11}{16}\right)\)	\(e\left(\frac{15}{16}\right)\)	\(i\)	\(-i\)
\(\chi_{10110}(61,\cdot)\)	10110.fm	336	no	\(-1\)	\(1\)	\(e\left(\frac{19}{56}\right)\)	\(e\left(\frac{31}{112}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{37}{112}\right)\)	\(e\left(\frac{299}{336}\right)\)	\(e\left(\frac{323}{336}\right)\)	\(e\left(\frac{295}{336}\right)\)	\(e\left(\frac{163}{336}\right)\)	\(e\left(\frac{83}{84}\right)\)	\(e\left(\frac{53}{84}\right)\)
\(\chi_{10110}(67,\cdot)\)	10110.fl	336	no	\(1\)	\(1\)	\(e\left(\frac{41}{56}\right)\)	\(e\left(\frac{47}{112}\right)\)	\(e\left(\frac{55}{84}\right)\)	\(e\left(\frac{1}{112}\right)\)	\(e\left(\frac{307}{336}\right)\)	\(e\left(\frac{319}{336}\right)\)	\(e\left(\frac{95}{336}\right)\)	\(e\left(\frac{323}{336}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{37}{84}\right)\)
\(\chi_{10110}(71,\cdot)\)	10110.fn	336	no	\(1\)	\(1\)	\(e\left(\frac{47}{56}\right)\)	\(e\left(\frac{3}{112}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{65}{112}\right)\)	\(e\left(\frac{215}{336}\right)\)	\(e\left(\frac{71}{336}\right)\)	\(e\left(\frac{43}{336}\right)\)	\(e\left(\frac{79}{336}\right)\)	\(e\left(\frac{83}{84}\right)\)	\(e\left(\frac{11}{84}\right)\)
\(\chi_{10110}(73,\cdot)\)	10110.fl	336	no	\(1\)	\(1\)	\(e\left(\frac{51}{56}\right)\)	\(e\left(\frac{53}{112}\right)\)	\(e\left(\frac{65}{84}\right)\)	\(e\left(\frac{75}{112}\right)\)	\(e\left(\frac{65}{336}\right)\)	\(e\left(\frac{293}{336}\right)\)	\(e\left(\frac{181}{336}\right)\)	\(e\left(\frac{145}{336}\right)\)	\(e\left(\frac{2}{21}\right)\)	\(e\left(\frac{59}{84}\right)\)
\(\chi_{10110}(77,\cdot)\)	10110.ev	112	no	\(-1\)	\(1\)	\(e\left(\frac{3}{56}\right)\)	\(e\left(\frac{41}{112}\right)\)	\(e\left(\frac{1}{28}\right)\)	\(e\left(\frac{95}{112}\right)\)	\(e\left(\frac{15}{112}\right)\)	\(e\left(\frac{59}{112}\right)\)	\(e\left(\frac{3}{112}\right)\)	\(e\left(\frac{111}{112}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{19}{28}\right)\)
\(\chi_{10110}(79,\cdot)\)	10110.ca	14	no	\(1\)	\(1\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{5}{14}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{5}{7}\right)\)
\(\chi_{10110}(83,\cdot)\)	10110.fk	336	no	\(-1\)	\(1\)	\(e\left(\frac{31}{56}\right)\)	\(e\left(\frac{41}{112}\right)\)	\(e\left(\frac{73}{84}\right)\)	\(e\left(\frac{39}{112}\right)\)	\(e\left(\frac{157}{336}\right)\)	\(e\left(\frac{121}{336}\right)\)	\(e\left(\frac{233}{336}\right)\)	\(e\left(\frac{221}{336}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{1}{84}\right)\)
\(\chi_{10110}(89,\cdot)\)	10110.fh	336	no	\(1\)	\(1\)	\(e\left(\frac{13}{56}\right)\)	\(e\left(\frac{61}{112}\right)\)	\(e\left(\frac{31}{42}\right)\)	\(e\left(\frac{71}{112}\right)\)	\(e\left(\frac{41}{336}\right)\)	\(e\left(\frac{305}{336}\right)\)	\(e\left(\frac{277}{336}\right)\)	\(e\left(\frac{1}{336}\right)\)	\(e\left(\frac{59}{84}\right)\)	\(e\left(\frac{65}{84}\right)\)
\(\chi_{10110}(91,\cdot)\)	10110.fc	168	no	\(1\)	\(1\)	\(e\left(\frac{3}{28}\right)\)	\(e\left(\frac{55}{56}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{53}{56}\right)\)	\(e\left(\frac{59}{168}\right)\)	\(e\left(\frac{107}{168}\right)\)	\(e\left(\frac{79}{168}\right)\)	\(e\left(\frac{67}{168}\right)\)	\(e\left(\frac{5}{42}\right)\)	\(e\left(\frac{29}{42}\right)\)
\(\chi_{10110}(97,\cdot)\)	10110.et	112	no	\(1\)	\(1\)	\(e\left(\frac{29}{56}\right)\)	\(e\left(\frac{107}{112}\right)\)	\(e\left(\frac{5}{28}\right)\)	\(e\left(\frac{69}{112}\right)\)	\(e\left(\frac{5}{112}\right)\)	\(e\left(\frac{57}{112}\right)\)	\(e\left(\frac{57}{112}\right)\)	\(e\left(\frac{37}{112}\right)\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{11}{28}\right)\)
\(\chi_{10110}(101,\cdot)\)	10110.fn	336	no	\(1\)	\(1\)	\(e\left(\frac{3}{56}\right)\)	\(e\left(\frac{55}{112}\right)\)	\(e\left(\frac{20}{21}\right)\)	\(e\left(\frac{109}{112}\right)\)	\(e\left(\frac{59}{336}\right)\)	\(e\left(\frac{107}{336}\right)\)	\(e\left(\frac{79}{336}\right)\)	\(e\left(\frac{67}{336}\right)\)	\(e\left(\frac{47}{84}\right)\)	\(e\left(\frac{71}{84}\right)\)
\(\chi_{10110}(103,\cdot)\)	10110.db	28	no	\(-1\)	\(1\)	\(e\left(\frac{27}{28}\right)\)	\(e\left(\frac{27}{28}\right)\)	\(e\left(\frac{11}{28}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{15}{28}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{3}{28}\right)\)	\(e\left(\frac{13}{28}\right)\)	\(e\left(\frac{9}{28}\right)\)	\(e\left(\frac{5}{7}\right)\)
\(\chi_{10110}(107,\cdot)\)	10110.ff	168	no	\(1\)	\(1\)	\(e\left(\frac{13}{14}\right)\)	\(e\left(\frac{3}{56}\right)\)	\(e\left(\frac{59}{84}\right)\)	\(e\left(\frac{23}{56}\right)\)	\(e\left(\frac{103}{168}\right)\)	\(e\left(\frac{85}{168}\right)\)	\(e\left(\frac{71}{168}\right)\)	\(e\left(\frac{107}{168}\right)\)	\(e\left(\frac{47}{84}\right)\)	\(e\left(\frac{2}{21}\right)\)
\(\chi_{10110}(109,\cdot)\)	10110.fg	336	no	\(-1\)	\(1\)	\(e\left(\frac{15}{56}\right)\)	\(e\left(\frac{23}{112}\right)\)	\(e\left(\frac{25}{42}\right)\)	\(e\left(\frac{69}{112}\right)\)	\(e\left(\frac{323}{336}\right)\)	\(e\left(\frac{227}{336}\right)\)	\(e\left(\frac{31}{336}\right)\)	\(e\left(\frac{139}{336}\right)\)	\(e\left(\frac{53}{84}\right)\)	\(e\left(\frac{5}{84}\right)\)
\(\chi_{10110}(113,\cdot)\)	10110.ez	168	no	\(1\)	\(1\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{23}{56}\right)\)	\(e\left(\frac{65}{84}\right)\)	\(e\left(\frac{55}{56}\right)\)	\(e\left(\frac{43}{168}\right)\)	\(e\left(\frac{157}{168}\right)\)	\(e\left(\frac{59}{168}\right)\)	\(e\left(\frac{167}{168}\right)\)	\(e\left(\frac{29}{84}\right)\)	\(e\left(\frac{20}{21}\right)\)
\(\chi_{10110}(119,\cdot)\)	10110.ew	112	no	\(1\)	\(1\)	\(e\left(\frac{55}{56}\right)\)	\(e\left(\frac{103}{112}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{85}{112}\right)\)	\(e\left(\frac{9}{112}\right)\)	\(e\left(\frac{97}{112}\right)\)	\(e\left(\frac{69}{112}\right)\)	\(e\left(\frac{33}{112}\right)\)	\(e\left(\frac{15}{28}\right)\)	\(e\left(\frac{17}{28}\right)\)

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