LMFDB - Group of Dirichlet characters of modulus 141120

Show commands: PariGP / SageMath

sage: H = DirichletGroup(141120)

pari: g = idealstar(,141120,2)

Character group

sage: G.order() pari: g.no
Order	=	32256
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{2}\times C_{12}\times C_{336}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{141120}(48511,\cdot)$, $\chi_{141120}(44101,\cdot)$, $\chi_{141120}(78401,\cdot)$, $\chi_{141120}(112897,\cdot)$, $\chi_{141120}(89281,\cdot)$

First 32 of 32256 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	$-1$	$1$	$11$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$	$43$
$\chi_{141120}(1,\cdot)$	141120.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{141120}(11,\cdot)$	141120.cca	336	no	$1$	$1$	$e\left(\frac{109}{336}\right)$	$e\left(\frac{151}{336}\right)$	$e\left(\frac{5}{84}\right)$	$e\left(\frac{1}{48}\right)$	$e\left(\frac{151}{168}\right)$	$e\left(\frac{251}{336}\right)$	$1$	$e\left(\frac{97}{336}\right)$	$e\left(\frac{83}{168}\right)$	$e\left(\frac{317}{336}\right)$
$\chi_{141120}(13,\cdot)$	141120.cdd	336	yes	$1$	$1$	$e\left(\frac{151}{336}\right)$	$e\left(\frac{305}{336}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{9}{16}\right)$	$e\left(\frac{151}{168}\right)$	$e\left(\frac{97}{336}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{37}{112}\right)$	$e\left(\frac{97}{168}\right)$	$e\left(\frac{163}{336}\right)$
$\chi_{141120}(17,\cdot)$	141120.brb	84	no	$-1$	$1$	$e\left(\frac{5}{84}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{53}{84}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{31}{84}\right)$	$e\left(\frac{27}{28}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{21}\right)$	$e\left(\frac{13}{14}\right)$	$e\left(\frac{1}{14}\right)$
$\chi_{141120}(19,\cdot)$	141120.bhj	48	no	$1$	$1$	$e\left(\frac{1}{48}\right)$	$e\left(\frac{9}{16}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{35}{48}\right)$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{13}{16}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{5}{48}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{11}{16}\right)$
$\chi_{141120}(23,\cdot)$	141120.bvc	168	no	$-1$	$1$	$e\left(\frac{151}{168}\right)$	$e\left(\frac{151}{168}\right)$	$e\left(\frac{31}{84}\right)$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{23}{42}\right)$	$e\left(\frac{41}{168}\right)$	$-1$	$e\left(\frac{97}{168}\right)$	$e\left(\frac{83}{84}\right)$	$e\left(\frac{149}{168}\right)$
$\chi_{141120}(29,\cdot)$	141120.cbd	336	yes	$-1$	$1$	$e\left(\frac{251}{336}\right)$	$e\left(\frac{97}{336}\right)$	$e\left(\frac{27}{28}\right)$	$e\left(\frac{13}{16}\right)$	$e\left(\frac{41}{168}\right)$	$e\left(\frac{149}{336}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{45}{112}\right)$	$e\left(\frac{149}{168}\right)$	$e\left(\frac{227}{336}\right)$
$\chi_{141120}(31,\cdot)$	141120.hq	6	no	$1$	$1$	$1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{5}{6}\right)$	$-1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{3}\right)$
$\chi_{141120}(37,\cdot)$	141120.ccv	336	no	$-1$	$1$	$e\left(\frac{97}{336}\right)$	$e\left(\frac{37}{112}\right)$	$e\left(\frac{1}{21}\right)$	$e\left(\frac{5}{48}\right)$	$e\left(\frac{97}{168}\right)$	$e\left(\frac{45}{112}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{233}{336}\right)$	$e\left(\frac{17}{56}\right)$	$e\left(\frac{71}{112}\right)$
$\chi_{141120}(41,\cdot)$	141120.byj	168	no	$1$	$1$	$e\left(\frac{83}{168}\right)$	$e\left(\frac{97}{168}\right)$	$e\left(\frac{13}{14}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{83}{84}\right)$	$e\left(\frac{149}{168}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{17}{56}\right)$	$e\left(\frac{65}{84}\right)$	$e\left(\frac{143}{168}\right)$
$\chi_{141120}(43,\cdot)$	141120.cde	336	yes	$1$	$1$	$e\left(\frac{317}{336}\right)$	$e\left(\frac{163}{336}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{11}{16}\right)$	$e\left(\frac{149}{168}\right)$	$e\left(\frac{227}{336}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{71}{112}\right)$	$e\left(\frac{143}{168}\right)$	$e\left(\frac{281}{336}\right)$
$\chi_{141120}(47,\cdot)$	141120.bmu	84	no	$1$	$1$	$e\left(\frac{5}{28}\right)$	$e\left(\frac{11}{42}\right)$	$e\left(\frac{61}{84}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{3}{28}\right)$	$e\left(\frac{5}{84}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{5}{42}\right)$	$e\left(\frac{8}{21}\right)$
$\chi_{141120}(53,\cdot)$	141120.ccu	336	no	$1$	$1$	$e\left(\frac{197}{336}\right)$	$e\left(\frac{89}{112}\right)$	$e\left(\frac{20}{21}\right)$	$e\left(\frac{1}{48}\right)$	$e\left(\frac{29}{168}\right)$	$e\left(\frac{81}{112}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{61}{336}\right)$	$e\left(\frac{25}{56}\right)$	$e\left(\frac{83}{112}\right)$
$\chi_{141120}(59,\cdot)$	141120.cbp	336	yes	$-1$	$1$	$e\left(\frac{3}{112}\right)$	$e\left(\frac{107}{336}\right)$	$e\left(\frac{41}{84}\right)$	$e\left(\frac{37}{48}\right)$	$e\left(\frac{45}{56}\right)$	$e\left(\frac{31}{336}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{325}{336}\right)$	$e\left(\frac{115}{168}\right)$	$e\left(\frac{1}{336}\right)$
$\chi_{141120}(61,\cdot)$	141120.cal	336	no	$-1$	$1$	$e\left(\frac{9}{112}\right)$	$e\left(\frac{265}{336}\right)$	$e\left(\frac{67}{84}\right)$	$e\left(\frac{23}{48}\right)$	$e\left(\frac{51}{56}\right)$	$e\left(\frac{149}{336}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{23}{336}\right)$	$e\left(\frac{149}{168}\right)$	$e\left(\frac{227}{336}\right)$
$\chi_{141120}(67,\cdot)$	141120.bit	48	no	$1$	$1$	$e\left(\frac{7}{16}\right)$	$e\left(\frac{11}{48}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{31}{48}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{43}{48}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{13}{48}\right)$	$e\left(\frac{7}{24}\right)$	$e\left(\frac{1}{48}\right)$
$\chi_{141120}(71,\cdot)$	141120.bjv	56	no	$1$	$1$	$e\left(\frac{55}{56}\right)$	$e\left(\frac{13}{56}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{13}{28}\right)$	$e\left(\frac{37}{56}\right)$	$-1$	$e\left(\frac{51}{56}\right)$	$e\left(\frac{23}{28}\right)$	$e\left(\frac{3}{56}\right)$
$\chi_{141120}(73,\cdot)$	141120.bvs	168	no	$1$	$1$	$e\left(\frac{19}{168}\right)$	$e\left(\frac{53}{56}\right)$	$e\left(\frac{23}{84}\right)$	$e\left(\frac{23}{24}\right)$	$e\left(\frac{41}{42}\right)$	$e\left(\frac{27}{56}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{53}{168}\right)$	$e\left(\frac{13}{28}\right)$	$e\left(\frac{23}{56}\right)$
$\chi_{141120}(79,\cdot)$	141120.nb	12	no	$-1$	$1$	$-i$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{11}{12}\right)$	$-1$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{11}{12}\right)$
$\chi_{141120}(83,\cdot)$	141120.byr	336	yes	$1$	$1$	$e\left(\frac{143}{336}\right)$	$e\left(\frac{73}{336}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{9}{16}\right)$	$e\left(\frac{143}{168}\right)$	$e\left(\frac{113}{336}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{61}{112}\right)$	$e\left(\frac{29}{168}\right)$	$e\left(\frac{131}{336}\right)$
$\chi_{141120}(89,\cdot)$	141120.bxz	168	no	$1$	$1$	$e\left(\frac{5}{168}\right)$	$e\left(\frac{25}{56}\right)$	$e\left(\frac{4}{21}\right)$	$e\left(\frac{1}{24}\right)$	$e\left(\frac{47}{84}\right)$	$e\left(\frac{41}{56}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{25}{168}\right)$	$e\left(\frac{13}{28}\right)$	$e\left(\frac{23}{56}\right)$
$\chi_{141120}(97,\cdot)$	141120.pm	12	no	$1$	$1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{12}\right)$	$-i$	$-1$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{6}\right)$	$-i$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{11}{12}\right)$
$\chi_{141120}(101,\cdot)$	141120.cby	336	no	$1$	$1$	$e\left(\frac{313}{336}\right)$	$e\left(\frac{187}{336}\right)$	$e\left(\frac{71}{84}\right)$	$e\left(\frac{37}{48}\right)$	$e\left(\frac{103}{168}\right)$	$e\left(\frac{263}{336}\right)$	$1$	$e\left(\frac{277}{336}\right)$	$e\left(\frac{11}{168}\right)$	$e\left(\frac{41}{336}\right)$
$\chi_{141120}(103,\cdot)$	141120.bvw	168	no	$-1$	$1$	$e\left(\frac{13}{168}\right)$	$e\left(\frac{97}{168}\right)$	$e\left(\frac{43}{84}\right)$	$e\left(\frac{1}{24}\right)$	$e\left(\frac{17}{42}\right)$	$e\left(\frac{107}{168}\right)$	$1$	$e\left(\frac{163}{168}\right)$	$e\left(\frac{65}{84}\right)$	$e\left(\frac{143}{168}\right)$
$\chi_{141120}(107,\cdot)$	141120.bzf	336	no	$-1$	$1$	$e\left(\frac{325}{336}\right)$	$e\left(\frac{57}{112}\right)$	$e\left(\frac{29}{42}\right)$	$e\left(\frac{17}{48}\right)$	$e\left(\frac{157}{168}\right)$	$e\left(\frac{89}{112}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{29}{336}\right)$	$e\left(\frac{33}{56}\right)$	$e\left(\frac{11}{112}\right)$
$\chi_{141120}(109,\cdot)$	141120.cbu	336	no	$1$	$1$	$e\left(\frac{95}{336}\right)$	$e\left(\frac{55}{112}\right)$	$e\left(\frac{47}{84}\right)$	$e\left(\frac{19}{48}\right)$	$e\left(\frac{137}{168}\right)$	$e\left(\frac{107}{112}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{307}{336}\right)$	$e\left(\frac{23}{56}\right)$	$e\left(\frac{101}{112}\right)$
$\chi_{141120}(113,\cdot)$	141120.bqb	84	no	$1$	$1$	$e\left(\frac{55}{84}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{3}{28}\right)$	$i$	$e\left(\frac{5}{84}\right)$	$e\left(\frac{79}{84}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{8}{21}\right)$	$e\left(\frac{5}{42}\right)$
$\chi_{141120}(121,\cdot)$	141120.bus	168	no	$1$	$1$	$e\left(\frac{109}{168}\right)$	$e\left(\frac{151}{168}\right)$	$e\left(\frac{5}{42}\right)$	$e\left(\frac{1}{24}\right)$	$e\left(\frac{67}{84}\right)$	$e\left(\frac{83}{168}\right)$	$1$	$e\left(\frac{97}{168}\right)$	$e\left(\frac{83}{84}\right)$	$e\left(\frac{149}{168}\right)$
$\chi_{141120}(127,\cdot)$	141120.zy	28	no	$1$	$1$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{25}{28}\right)$	$e\left(\frac{27}{28}\right)$	$1$	$e\left(\frac{15}{28}\right)$	$e\left(\frac{3}{14}\right)$	$-1$	$e\left(\frac{27}{28}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{23}{28}\right)$
$\chi_{141120}(131,\cdot)$	141120.bzs	336	no	$-1$	$1$	$e\left(\frac{107}{336}\right)$	$e\left(\frac{233}{336}\right)$	$e\left(\frac{13}{84}\right)$	$e\left(\frac{47}{48}\right)$	$e\left(\frac{65}{168}\right)$	$e\left(\frac{157}{336}\right)$	$-1$	$e\left(\frac{311}{336}\right)$	$e\left(\frac{73}{168}\right)$	$e\left(\frac{43}{336}\right)$
$\chi_{141120}(137,\cdot)$	141120.bvz	168	no	$1$	$1$	$e\left(\frac{71}{168}\right)$	$e\left(\frac{71}{168}\right)$	$e\left(\frac{41}{84}\right)$	$e\left(\frac{11}{24}\right)$	$e\left(\frac{25}{42}\right)$	$e\left(\frac{61}{168}\right)$	$1$	$e\left(\frac{89}{168}\right)$	$e\left(\frac{19}{84}\right)$	$e\left(\frac{25}{168}\right)$
$\chi_{141120}(139,\cdot)$	141120.cbl	336	yes	$1$	$1$	$e\left(\frac{229}{336}\right)$	$e\left(\frac{215}{336}\right)$	$e\left(\frac{5}{28}\right)$	$e\left(\frac{3}{16}\right)$	$e\left(\frac{103}{168}\right)$	$e\left(\frac{67}{336}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{83}{112}\right)$	$e\left(\frac{67}{168}\right)$	$e\left(\frac{181}{336}\right)$

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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	$141120$
Structure	\(C_{2}\times C_{2}\times C_{2}\times C_{12}\times C_{336}\)
Order	$32256$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(11\)	\(13\)	\(17\)	\(19\)	\(23\)	\(29\)	\(31\)	\(37\)	\(41\)	\(43\)
\(\chi_{141120}(1,\cdot)\)	141120.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{141120}(11,\cdot)\)	141120.cca	336	no	\(1\)	\(1\)	\(e\left(\frac{109}{336}\right)\)	\(e\left(\frac{151}{336}\right)\)	\(e\left(\frac{5}{84}\right)\)	\(e\left(\frac{1}{48}\right)\)	\(e\left(\frac{151}{168}\right)\)	\(e\left(\frac{251}{336}\right)\)	\(1\)	\(e\left(\frac{97}{336}\right)\)	\(e\left(\frac{83}{168}\right)\)	\(e\left(\frac{317}{336}\right)\)
\(\chi_{141120}(13,\cdot)\)	141120.cdd	336	yes	\(1\)	\(1\)	\(e\left(\frac{151}{336}\right)\)	\(e\left(\frac{305}{336}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{9}{16}\right)\)	\(e\left(\frac{151}{168}\right)\)	\(e\left(\frac{97}{336}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{37}{112}\right)\)	\(e\left(\frac{97}{168}\right)\)	\(e\left(\frac{163}{336}\right)\)
\(\chi_{141120}(17,\cdot)\)	141120.brb	84	no	\(-1\)	\(1\)	\(e\left(\frac{5}{84}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{53}{84}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{31}{84}\right)\)	\(e\left(\frac{27}{28}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{1}{21}\right)\)	\(e\left(\frac{13}{14}\right)\)	\(e\left(\frac{1}{14}\right)\)
\(\chi_{141120}(19,\cdot)\)	141120.bhj	48	no	\(1\)	\(1\)	\(e\left(\frac{1}{48}\right)\)	\(e\left(\frac{9}{16}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{35}{48}\right)\)	\(e\left(\frac{19}{24}\right)\)	\(e\left(\frac{13}{16}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{5}{48}\right)\)	\(e\left(\frac{5}{8}\right)\)	\(e\left(\frac{11}{16}\right)\)
\(\chi_{141120}(23,\cdot)\)	141120.bvc	168	no	\(-1\)	\(1\)	\(e\left(\frac{151}{168}\right)\)	\(e\left(\frac{151}{168}\right)\)	\(e\left(\frac{31}{84}\right)\)	\(e\left(\frac{19}{24}\right)\)	\(e\left(\frac{23}{42}\right)\)	\(e\left(\frac{41}{168}\right)\)	\(-1\)	\(e\left(\frac{97}{168}\right)\)	\(e\left(\frac{83}{84}\right)\)	\(e\left(\frac{149}{168}\right)\)
\(\chi_{141120}(29,\cdot)\)	141120.cbd	336	yes	\(-1\)	\(1\)	\(e\left(\frac{251}{336}\right)\)	\(e\left(\frac{97}{336}\right)\)	\(e\left(\frac{27}{28}\right)\)	\(e\left(\frac{13}{16}\right)\)	\(e\left(\frac{41}{168}\right)\)	\(e\left(\frac{149}{336}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{45}{112}\right)\)	\(e\left(\frac{149}{168}\right)\)	\(e\left(\frac{227}{336}\right)\)
\(\chi_{141120}(31,\cdot)\)	141120.hq	6	no	\(1\)	\(1\)	\(1\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(-1\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{1}{3}\right)\)
\(\chi_{141120}(37,\cdot)\)	141120.ccv	336	no	\(-1\)	\(1\)	\(e\left(\frac{97}{336}\right)\)	\(e\left(\frac{37}{112}\right)\)	\(e\left(\frac{1}{21}\right)\)	\(e\left(\frac{5}{48}\right)\)	\(e\left(\frac{97}{168}\right)\)	\(e\left(\frac{45}{112}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{233}{336}\right)\)	\(e\left(\frac{17}{56}\right)\)	\(e\left(\frac{71}{112}\right)\)
\(\chi_{141120}(41,\cdot)\)	141120.byj	168	no	\(1\)	\(1\)	\(e\left(\frac{83}{168}\right)\)	\(e\left(\frac{97}{168}\right)\)	\(e\left(\frac{13}{14}\right)\)	\(e\left(\frac{5}{8}\right)\)	\(e\left(\frac{83}{84}\right)\)	\(e\left(\frac{149}{168}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{17}{56}\right)\)	\(e\left(\frac{65}{84}\right)\)	\(e\left(\frac{143}{168}\right)\)
\(\chi_{141120}(43,\cdot)\)	141120.cde	336	yes	\(1\)	\(1\)	\(e\left(\frac{317}{336}\right)\)	\(e\left(\frac{163}{336}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{11}{16}\right)\)	\(e\left(\frac{149}{168}\right)\)	\(e\left(\frac{227}{336}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{71}{112}\right)\)	\(e\left(\frac{143}{168}\right)\)	\(e\left(\frac{281}{336}\right)\)
\(\chi_{141120}(47,\cdot)\)	141120.bmu	84	no	\(1\)	\(1\)	\(e\left(\frac{5}{28}\right)\)	\(e\left(\frac{11}{42}\right)\)	\(e\left(\frac{61}{84}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{3}{28}\right)\)	\(e\left(\frac{5}{84}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{5}{42}\right)\)	\(e\left(\frac{8}{21}\right)\)
\(\chi_{141120}(53,\cdot)\)	141120.ccu	336	no	\(1\)	\(1\)	\(e\left(\frac{197}{336}\right)\)	\(e\left(\frac{89}{112}\right)\)	\(e\left(\frac{20}{21}\right)\)	\(e\left(\frac{1}{48}\right)\)	\(e\left(\frac{29}{168}\right)\)	\(e\left(\frac{81}{112}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{61}{336}\right)\)	\(e\left(\frac{25}{56}\right)\)	\(e\left(\frac{83}{112}\right)\)
\(\chi_{141120}(59,\cdot)\)	141120.cbp	336	yes	\(-1\)	\(1\)	\(e\left(\frac{3}{112}\right)\)	\(e\left(\frac{107}{336}\right)\)	\(e\left(\frac{41}{84}\right)\)	\(e\left(\frac{37}{48}\right)\)	\(e\left(\frac{45}{56}\right)\)	\(e\left(\frac{31}{336}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{325}{336}\right)\)	\(e\left(\frac{115}{168}\right)\)	\(e\left(\frac{1}{336}\right)\)
\(\chi_{141120}(61,\cdot)\)	141120.cal	336	no	\(-1\)	\(1\)	\(e\left(\frac{9}{112}\right)\)	\(e\left(\frac{265}{336}\right)\)	\(e\left(\frac{67}{84}\right)\)	\(e\left(\frac{23}{48}\right)\)	\(e\left(\frac{51}{56}\right)\)	\(e\left(\frac{149}{336}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{23}{336}\right)\)	\(e\left(\frac{149}{168}\right)\)	\(e\left(\frac{227}{336}\right)\)
\(\chi_{141120}(67,\cdot)\)	141120.bit	48	no	\(1\)	\(1\)	\(e\left(\frac{7}{16}\right)\)	\(e\left(\frac{11}{48}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{31}{48}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{43}{48}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{13}{48}\right)\)	\(e\left(\frac{7}{24}\right)\)	\(e\left(\frac{1}{48}\right)\)
\(\chi_{141120}(71,\cdot)\)	141120.bjv	56	no	\(1\)	\(1\)	\(e\left(\frac{55}{56}\right)\)	\(e\left(\frac{13}{56}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{13}{28}\right)\)	\(e\left(\frac{37}{56}\right)\)	\(-1\)	\(e\left(\frac{51}{56}\right)\)	\(e\left(\frac{23}{28}\right)\)	\(e\left(\frac{3}{56}\right)\)
\(\chi_{141120}(73,\cdot)\)	141120.bvs	168	no	\(1\)	\(1\)	\(e\left(\frac{19}{168}\right)\)	\(e\left(\frac{53}{56}\right)\)	\(e\left(\frac{23}{84}\right)\)	\(e\left(\frac{23}{24}\right)\)	\(e\left(\frac{41}{42}\right)\)	\(e\left(\frac{27}{56}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{53}{168}\right)\)	\(e\left(\frac{13}{28}\right)\)	\(e\left(\frac{23}{56}\right)\)
\(\chi_{141120}(79,\cdot)\)	141120.nb	12	no	\(-1\)	\(1\)	\(-i\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(-1\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{11}{12}\right)\)
\(\chi_{141120}(83,\cdot)\)	141120.byr	336	yes	\(1\)	\(1\)	\(e\left(\frac{143}{336}\right)\)	\(e\left(\frac{73}{336}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{9}{16}\right)\)	\(e\left(\frac{143}{168}\right)\)	\(e\left(\frac{113}{336}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{61}{112}\right)\)	\(e\left(\frac{29}{168}\right)\)	\(e\left(\frac{131}{336}\right)\)
\(\chi_{141120}(89,\cdot)\)	141120.bxz	168	no	\(1\)	\(1\)	\(e\left(\frac{5}{168}\right)\)	\(e\left(\frac{25}{56}\right)\)	\(e\left(\frac{4}{21}\right)\)	\(e\left(\frac{1}{24}\right)\)	\(e\left(\frac{47}{84}\right)\)	\(e\left(\frac{41}{56}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{25}{168}\right)\)	\(e\left(\frac{13}{28}\right)\)	\(e\left(\frac{23}{56}\right)\)
\(\chi_{141120}(97,\cdot)\)	141120.pm	12	no	\(1\)	\(1\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(-i\)	\(-1\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(-i\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{11}{12}\right)\)
\(\chi_{141120}(101,\cdot)\)	141120.cby	336	no	\(1\)	\(1\)	\(e\left(\frac{313}{336}\right)\)	\(e\left(\frac{187}{336}\right)\)	\(e\left(\frac{71}{84}\right)\)	\(e\left(\frac{37}{48}\right)\)	\(e\left(\frac{103}{168}\right)\)	\(e\left(\frac{263}{336}\right)\)	\(1\)	\(e\left(\frac{277}{336}\right)\)	\(e\left(\frac{11}{168}\right)\)	\(e\left(\frac{41}{336}\right)\)
\(\chi_{141120}(103,\cdot)\)	141120.bvw	168	no	\(-1\)	\(1\)	\(e\left(\frac{13}{168}\right)\)	\(e\left(\frac{97}{168}\right)\)	\(e\left(\frac{43}{84}\right)\)	\(e\left(\frac{1}{24}\right)\)	\(e\left(\frac{17}{42}\right)\)	\(e\left(\frac{107}{168}\right)\)	\(1\)	\(e\left(\frac{163}{168}\right)\)	\(e\left(\frac{65}{84}\right)\)	\(e\left(\frac{143}{168}\right)\)
\(\chi_{141120}(107,\cdot)\)	141120.bzf	336	no	\(-1\)	\(1\)	\(e\left(\frac{325}{336}\right)\)	\(e\left(\frac{57}{112}\right)\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{17}{48}\right)\)	\(e\left(\frac{157}{168}\right)\)	\(e\left(\frac{89}{112}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{29}{336}\right)\)	\(e\left(\frac{33}{56}\right)\)	\(e\left(\frac{11}{112}\right)\)
\(\chi_{141120}(109,\cdot)\)	141120.cbu	336	no	\(1\)	\(1\)	\(e\left(\frac{95}{336}\right)\)	\(e\left(\frac{55}{112}\right)\)	\(e\left(\frac{47}{84}\right)\)	\(e\left(\frac{19}{48}\right)\)	\(e\left(\frac{137}{168}\right)\)	\(e\left(\frac{107}{112}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{307}{336}\right)\)	\(e\left(\frac{23}{56}\right)\)	\(e\left(\frac{101}{112}\right)\)
\(\chi_{141120}(113,\cdot)\)	141120.bqb	84	no	\(1\)	\(1\)	\(e\left(\frac{55}{84}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{3}{28}\right)\)	\(i\)	\(e\left(\frac{5}{84}\right)\)	\(e\left(\frac{79}{84}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{8}{21}\right)\)	\(e\left(\frac{5}{42}\right)\)
\(\chi_{141120}(121,\cdot)\)	141120.bus	168	no	\(1\)	\(1\)	\(e\left(\frac{109}{168}\right)\)	\(e\left(\frac{151}{168}\right)\)	\(e\left(\frac{5}{42}\right)\)	\(e\left(\frac{1}{24}\right)\)	\(e\left(\frac{67}{84}\right)\)	\(e\left(\frac{83}{168}\right)\)	\(1\)	\(e\left(\frac{97}{168}\right)\)	\(e\left(\frac{83}{84}\right)\)	\(e\left(\frac{149}{168}\right)\)
\(\chi_{141120}(127,\cdot)\)	141120.zy	28	no	\(1\)	\(1\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{25}{28}\right)\)	\(e\left(\frac{27}{28}\right)\)	\(1\)	\(e\left(\frac{15}{28}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(-1\)	\(e\left(\frac{27}{28}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{23}{28}\right)\)
\(\chi_{141120}(131,\cdot)\)	141120.bzs	336	no	\(-1\)	\(1\)	\(e\left(\frac{107}{336}\right)\)	\(e\left(\frac{233}{336}\right)\)	\(e\left(\frac{13}{84}\right)\)	\(e\left(\frac{47}{48}\right)\)	\(e\left(\frac{65}{168}\right)\)	\(e\left(\frac{157}{336}\right)\)	\(-1\)	\(e\left(\frac{311}{336}\right)\)	\(e\left(\frac{73}{168}\right)\)	\(e\left(\frac{43}{336}\right)\)
\(\chi_{141120}(137,\cdot)\)	141120.bvz	168	no	\(1\)	\(1\)	\(e\left(\frac{71}{168}\right)\)	\(e\left(\frac{71}{168}\right)\)	\(e\left(\frac{41}{84}\right)\)	\(e\left(\frac{11}{24}\right)\)	\(e\left(\frac{25}{42}\right)\)	\(e\left(\frac{61}{168}\right)\)	\(1\)	\(e\left(\frac{89}{168}\right)\)	\(e\left(\frac{19}{84}\right)\)	\(e\left(\frac{25}{168}\right)\)
\(\chi_{141120}(139,\cdot)\)	141120.cbl	336	yes	\(1\)	\(1\)	\(e\left(\frac{229}{336}\right)\)	\(e\left(\frac{215}{336}\right)\)	\(e\left(\frac{5}{28}\right)\)	\(e\left(\frac{3}{16}\right)\)	\(e\left(\frac{103}{168}\right)\)	\(e\left(\frac{67}{336}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{83}{112}\right)\)	\(e\left(\frac{67}{168}\right)\)	\(e\left(\frac{181}{336}\right)\)

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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.