LMFDB - Group of Dirichlet characters of modulus 221760

Show commands: PariGP / SageMath

sage: H = DirichletGroup(221760)

pari: g = idealstar(,221760,2)

Character group

sage: G.order() pari: g.no
Order	=	46080
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{2}\times C_{2}\times C_{12}\times C_{240}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{221760}(48511,\cdot)$, $\chi_{221760}(124741,\cdot)$, $\chi_{221760}(98561,\cdot)$, $\chi_{221760}(133057,\cdot)$, $\chi_{221760}(190081,\cdot)$, $\chi_{221760}(141121,\cdot)$

First 32 of 46080 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	$-1$	$1$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$	$43$	$47$
$\chi_{221760}(1,\cdot)$	221760.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{221760}(13,\cdot)$	221760.dxi	240	yes	$-1$	$1$	$e\left(\frac{139}{240}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{69}{80}\right)$	$e\left(\frac{1}{24}\right)$	$e\left(\frac{203}{240}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{31}{80}\right)$	$e\left(\frac{71}{120}\right)$	$e\left(\frac{13}{48}\right)$	$e\left(\frac{19}{30}\right)$
$\chi_{221760}(17,\cdot)$	221760.cwb	60	no	$1$	$1$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{1}{60}\right)$	$e\left(\frac{17}{60}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{1}{5}\right)$	$1$	$e\left(\frac{47}{60}\right)$
$\chi_{221760}(19,\cdot)$	221760.ebt	240	no	$-1$	$1$	$e\left(\frac{69}{80}\right)$	$e\left(\frac{17}{60}\right)$	$e\left(\frac{151}{240}\right)$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{73}{80}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{169}{240}\right)$	$e\left(\frac{21}{40}\right)$	$e\left(\frac{3}{16}\right)$	$e\left(\frac{49}{60}\right)$
$\chi_{221760}(23,\cdot)$	221760.bvd	24	no	$-1$	$1$	$e\left(\frac{1}{24}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{23}{24}\right)$	$-1$	$e\left(\frac{7}{24}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{11}{24}\right)$	$i$
$\chi_{221760}(29,\cdot)$	221760.ebb	240	no	$1$	$1$	$e\left(\frac{203}{240}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{73}{80}\right)$	$e\left(\frac{23}{24}\right)$	$e\left(\frac{151}{240}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{7}{80}\right)$	$e\left(\frac{67}{120}\right)$	$e\left(\frac{29}{48}\right)$	$e\left(\frac{31}{60}\right)$
$\chi_{221760}(31,\cdot)$	221760.cfi	30	no	$1$	$1$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{19}{30}\right)$	$-1$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{7}{15}\right)$
$\chi_{221760}(37,\cdot)$	221760.efb	240	no	$-1$	$1$	$e\left(\frac{31}{80}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{169}{240}\right)$	$e\left(\frac{7}{24}\right)$	$e\left(\frac{7}{80}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{91}{240}\right)$	$e\left(\frac{19}{40}\right)$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{4}{15}\right)$
$\chi_{221760}(41,\cdot)$	221760.dnd	120	no	$-1$	$1$	$e\left(\frac{71}{120}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{21}{40}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{67}{120}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{19}{40}\right)$	$e\left(\frac{49}{60}\right)$	$e\left(\frac{5}{24}\right)$	$e\left(\frac{7}{30}\right)$
$\chi_{221760}(43,\cdot)$	221760.cvi	48	no	$-1$	$1$	$e\left(\frac{13}{48}\right)$	$1$	$e\left(\frac{3}{16}\right)$	$e\left(\frac{11}{24}\right)$	$e\left(\frac{29}{48}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{5}{24}\right)$	$e\left(\frac{23}{48}\right)$	$e\left(\frac{2}{3}\right)$
$\chi_{221760}(47,\cdot)$	221760.cxs	60	no	$1$	$1$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{47}{60}\right)$	$e\left(\frac{49}{60}\right)$	$i$	$e\left(\frac{31}{60}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{29}{60}\right)$
$\chi_{221760}(53,\cdot)$	221760.eey	240	no	$1$	$1$	$e\left(\frac{43}{80}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{197}{240}\right)$	$e\left(\frac{11}{24}\right)$	$e\left(\frac{51}{80}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{23}{240}\right)$	$e\left(\frac{27}{40}\right)$	$e\left(\frac{5}{16}\right)$	$e\left(\frac{2}{15}\right)$
$\chi_{221760}(59,\cdot)$	221760.ean	240	yes	$-1$	$1$	$e\left(\frac{193}{240}\right)$	$e\left(\frac{43}{60}\right)$	$e\left(\frac{89}{240}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{221}{240}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{191}{240}\right)$	$e\left(\frac{17}{120}\right)$	$e\left(\frac{7}{48}\right)$	$e\left(\frac{1}{60}\right)$
$\chi_{221760}(61,\cdot)$	221760.edh	240	no	$1$	$1$	$e\left(\frac{131}{240}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{43}{240}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{7}{240}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{37}{240}\right)$	$e\left(\frac{19}{120}\right)$	$e\left(\frac{29}{48}\right)$	$e\left(\frac{17}{60}\right)$
$\chi_{221760}(67,\cdot)$	221760.ctz	48	no	$1$	$1$	$e\left(\frac{11}{48}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{31}{48}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{43}{48}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{13}{48}\right)$	$e\left(\frac{7}{24}\right)$	$e\left(\frac{1}{48}\right)$	$e\left(\frac{2}{3}\right)$
$\chi_{221760}(71,\cdot)$	221760.ckb	40	no	$1$	$1$	$e\left(\frac{31}{40}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{3}{40}\right)$	$-i$	$e\left(\frac{7}{40}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{17}{40}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{7}{10}\right)$
$\chi_{221760}(73,\cdot)$	221760.dsn	120	no	$-1$	$1$	$e\left(\frac{3}{40}\right)$	$e\left(\frac{43}{60}\right)$	$e\left(\frac{7}{120}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{21}{40}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{103}{120}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{41}{60}\right)$
$\chi_{221760}(79,\cdot)$	221760.dfv	60	no	$1$	$1$	$e\left(\frac{41}{60}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{13}{60}\right)$	$-1$	$e\left(\frac{7}{60}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{37}{60}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{2}{15}\right)$
$\chi_{221760}(83,\cdot)$	221760.egh	240	yes	$-1$	$1$	$e\left(\frac{131}{240}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{21}{80}\right)$	$e\left(\frac{17}{24}\right)$	$e\left(\frac{187}{240}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{39}{80}\right)$	$e\left(\frac{19}{120}\right)$	$e\left(\frac{29}{48}\right)$	$e\left(\frac{11}{30}\right)$
$\chi_{221760}(89,\cdot)$	221760.bru	24	no	$1$	$1$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{24}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{7}{24}\right)$	$-i$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{2}{3}\right)$
$\chi_{221760}(97,\cdot)$	221760.dfk	60	no	$1$	$1$	$e\left(\frac{41}{60}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{13}{60}\right)$
$\chi_{221760}(101,\cdot)$	221760.dzz	240	no	$-1$	$1$	$e\left(\frac{89}{240}\right)$	$e\left(\frac{19}{60}\right)$	$e\left(\frac{17}{240}\right)$	$e\left(\frac{1}{24}\right)$	$e\left(\frac{13}{240}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{143}{240}\right)$	$e\left(\frac{61}{120}\right)$	$e\left(\frac{23}{48}\right)$	$e\left(\frac{11}{20}\right)$
$\chi_{221760}(103,\cdot)$	221760.dsc	120	no	$-1$	$1$	$e\left(\frac{59}{120}\right)$	$e\left(\frac{53}{60}\right)$	$e\left(\frac{77}{120}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{73}{120}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{113}{120}\right)$	$e\left(\frac{31}{60}\right)$	$e\left(\frac{17}{24}\right)$	$e\left(\frac{17}{20}\right)$
$\chi_{221760}(107,\cdot)$	221760.efu	240	no	$1$	$1$	$e\left(\frac{19}{80}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{61}{240}\right)$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{3}{80}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{199}{240}\right)$	$e\left(\frac{31}{40}\right)$	$e\left(\frac{5}{16}\right)$	$e\left(\frac{1}{15}\right)$
$\chi_{221760}(109,\cdot)$	221760.csq	48	no	$-1$	$1$	$e\left(\frac{9}{16}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{43}{48}\right)$	$e\left(\frac{23}{24}\right)$	$e\left(\frac{5}{16}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{37}{48}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{11}{16}\right)$	$e\left(\frac{1}{12}\right)$
$\chi_{221760}(113,\cdot)$	221760.djf	60	no	$1$	$1$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{41}{60}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{59}{60}\right)$
$\chi_{221760}(127,\cdot)$	221760.bok	20	no	$-1$	$1$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{7}{10}\right)$	$i$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{7}{10}\right)$	$-i$	$e\left(\frac{19}{20}\right)$
$\chi_{221760}(131,\cdot)$	221760.cos	48	no	$1$	$1$	$e\left(\frac{23}{48}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{23}{48}\right)$	$e\left(\frac{23}{24}\right)$	$e\left(\frac{19}{48}\right)$	$-1$	$e\left(\frac{17}{48}\right)$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{37}{48}\right)$	$-i$
$\chi_{221760}(137,\cdot)$	221760.dsf	120	no	$1$	$1$	$e\left(\frac{13}{120}\right)$	$e\left(\frac{31}{60}\right)$	$e\left(\frac{79}{120}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{71}{120}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{91}{120}\right)$	$e\left(\frac{17}{60}\right)$	$e\left(\frac{7}{24}\right)$	$e\left(\frac{9}{20}\right)$
$\chi_{221760}(139,\cdot)$	221760.eat	240	yes	$-1$	$1$	$e\left(\frac{13}{240}\right)$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{23}{80}\right)$	$e\left(\frac{1}{24}\right)$	$e\left(\frac{161}{240}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{57}{80}\right)$	$e\left(\frac{77}{120}\right)$	$e\left(\frac{43}{48}\right)$	$e\left(\frac{11}{60}\right)$
$\chi_{221760}(149,\cdot)$	221760.eec	240	yes	$1$	$1$	$e\left(\frac{61}{240}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{13}{240}\right)$	$e\left(\frac{17}{24}\right)$	$e\left(\frac{17}{240}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{67}{240}\right)$	$e\left(\frac{29}{120}\right)$	$e\left(\frac{43}{48}\right)$	$e\left(\frac{19}{20}\right)$
$\chi_{221760}(151,\cdot)$	221760.dwc	120	no	$1$	$1$	$e\left(\frac{91}{120}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{103}{120}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{47}{120}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{97}{120}\right)$	$e\left(\frac{29}{60}\right)$	$e\left(\frac{1}{24}\right)$	$e\left(\frac{2}{5}\right)$

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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	$221760$
Structure	\(C_{2}\times C_{2}\times C_{2}\times C_{2}\times C_{12}\times C_{240}\)
Order	$46080$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(13\)	\(17\)	\(19\)	\(23\)	\(29\)	\(31\)	\(37\)	\(41\)	\(43\)	\(47\)
\(\chi_{221760}(1,\cdot)\)	221760.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{221760}(13,\cdot)\)	221760.dxi	240	yes	\(-1\)	\(1\)	\(e\left(\frac{139}{240}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{69}{80}\right)\)	\(e\left(\frac{1}{24}\right)\)	\(e\left(\frac{203}{240}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{31}{80}\right)\)	\(e\left(\frac{71}{120}\right)\)	\(e\left(\frac{13}{48}\right)\)	\(e\left(\frac{19}{30}\right)\)
\(\chi_{221760}(17,\cdot)\)	221760.cwb	60	no	\(1\)	\(1\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{1}{60}\right)\)	\(e\left(\frac{17}{60}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{11}{20}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(1\)	\(e\left(\frac{47}{60}\right)\)
\(\chi_{221760}(19,\cdot)\)	221760.ebt	240	no	\(-1\)	\(1\)	\(e\left(\frac{69}{80}\right)\)	\(e\left(\frac{17}{60}\right)\)	\(e\left(\frac{151}{240}\right)\)	\(e\left(\frac{19}{24}\right)\)	\(e\left(\frac{73}{80}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{169}{240}\right)\)	\(e\left(\frac{21}{40}\right)\)	\(e\left(\frac{3}{16}\right)\)	\(e\left(\frac{49}{60}\right)\)
\(\chi_{221760}(23,\cdot)\)	221760.bvd	24	no	\(-1\)	\(1\)	\(e\left(\frac{1}{24}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{19}{24}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{23}{24}\right)\)	\(-1\)	\(e\left(\frac{7}{24}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{11}{24}\right)\)	\(i\)
\(\chi_{221760}(29,\cdot)\)	221760.ebb	240	no	\(1\)	\(1\)	\(e\left(\frac{203}{240}\right)\)	\(e\left(\frac{11}{20}\right)\)	\(e\left(\frac{73}{80}\right)\)	\(e\left(\frac{23}{24}\right)\)	\(e\left(\frac{151}{240}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{7}{80}\right)\)	\(e\left(\frac{67}{120}\right)\)	\(e\left(\frac{29}{48}\right)\)	\(e\left(\frac{31}{60}\right)\)
\(\chi_{221760}(31,\cdot)\)	221760.cfi	30	no	\(1\)	\(1\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(-1\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{7}{15}\right)\)
\(\chi_{221760}(37,\cdot)\)	221760.efb	240	no	\(-1\)	\(1\)	\(e\left(\frac{31}{80}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{169}{240}\right)\)	\(e\left(\frac{7}{24}\right)\)	\(e\left(\frac{7}{80}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{91}{240}\right)\)	\(e\left(\frac{19}{40}\right)\)	\(e\left(\frac{1}{16}\right)\)	\(e\left(\frac{4}{15}\right)\)
\(\chi_{221760}(41,\cdot)\)	221760.dnd	120	no	\(-1\)	\(1\)	\(e\left(\frac{71}{120}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{21}{40}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{67}{120}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{19}{40}\right)\)	\(e\left(\frac{49}{60}\right)\)	\(e\left(\frac{5}{24}\right)\)	\(e\left(\frac{7}{30}\right)\)
\(\chi_{221760}(43,\cdot)\)	221760.cvi	48	no	\(-1\)	\(1\)	\(e\left(\frac{13}{48}\right)\)	\(1\)	\(e\left(\frac{3}{16}\right)\)	\(e\left(\frac{11}{24}\right)\)	\(e\left(\frac{29}{48}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{1}{16}\right)\)	\(e\left(\frac{5}{24}\right)\)	\(e\left(\frac{23}{48}\right)\)	\(e\left(\frac{2}{3}\right)\)
\(\chi_{221760}(47,\cdot)\)	221760.cxs	60	no	\(1\)	\(1\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{47}{60}\right)\)	\(e\left(\frac{49}{60}\right)\)	\(i\)	\(e\left(\frac{31}{60}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{29}{60}\right)\)
\(\chi_{221760}(53,\cdot)\)	221760.eey	240	no	\(1\)	\(1\)	\(e\left(\frac{43}{80}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{197}{240}\right)\)	\(e\left(\frac{11}{24}\right)\)	\(e\left(\frac{51}{80}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{23}{240}\right)\)	\(e\left(\frac{27}{40}\right)\)	\(e\left(\frac{5}{16}\right)\)	\(e\left(\frac{2}{15}\right)\)
\(\chi_{221760}(59,\cdot)\)	221760.ean	240	yes	\(-1\)	\(1\)	\(e\left(\frac{193}{240}\right)\)	\(e\left(\frac{43}{60}\right)\)	\(e\left(\frac{89}{240}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{221}{240}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{191}{240}\right)\)	\(e\left(\frac{17}{120}\right)\)	\(e\left(\frac{7}{48}\right)\)	\(e\left(\frac{1}{60}\right)\)
\(\chi_{221760}(61,\cdot)\)	221760.edh	240	no	\(1\)	\(1\)	\(e\left(\frac{131}{240}\right)\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{43}{240}\right)\)	\(e\left(\frac{5}{8}\right)\)	\(e\left(\frac{7}{240}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{37}{240}\right)\)	\(e\left(\frac{19}{120}\right)\)	\(e\left(\frac{29}{48}\right)\)	\(e\left(\frac{17}{60}\right)\)
\(\chi_{221760}(67,\cdot)\)	221760.ctz	48	no	\(1\)	\(1\)	\(e\left(\frac{11}{48}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{31}{48}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{43}{48}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{13}{48}\right)\)	\(e\left(\frac{7}{24}\right)\)	\(e\left(\frac{1}{48}\right)\)	\(e\left(\frac{2}{3}\right)\)
\(\chi_{221760}(71,\cdot)\)	221760.ckb	40	no	\(1\)	\(1\)	\(e\left(\frac{31}{40}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{3}{40}\right)\)	\(-i\)	\(e\left(\frac{7}{40}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{17}{40}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{5}{8}\right)\)	\(e\left(\frac{7}{10}\right)\)
\(\chi_{221760}(73,\cdot)\)	221760.dsn	120	no	\(-1\)	\(1\)	\(e\left(\frac{3}{40}\right)\)	\(e\left(\frac{43}{60}\right)\)	\(e\left(\frac{7}{120}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{21}{40}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{103}{120}\right)\)	\(e\left(\frac{17}{20}\right)\)	\(e\left(\frac{5}{8}\right)\)	\(e\left(\frac{41}{60}\right)\)
\(\chi_{221760}(79,\cdot)\)	221760.dfv	60	no	\(1\)	\(1\)	\(e\left(\frac{41}{60}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{13}{60}\right)\)	\(-1\)	\(e\left(\frac{7}{60}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{37}{60}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{2}{15}\right)\)
\(\chi_{221760}(83,\cdot)\)	221760.egh	240	yes	\(-1\)	\(1\)	\(e\left(\frac{131}{240}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{21}{80}\right)\)	\(e\left(\frac{17}{24}\right)\)	\(e\left(\frac{187}{240}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{39}{80}\right)\)	\(e\left(\frac{19}{120}\right)\)	\(e\left(\frac{29}{48}\right)\)	\(e\left(\frac{11}{30}\right)\)
\(\chi_{221760}(89,\cdot)\)	221760.bru	24	no	\(1\)	\(1\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{1}{24}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{7}{24}\right)\)	\(-i\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{2}{3}\right)\)
\(\chi_{221760}(97,\cdot)\)	221760.dfk	60	no	\(1\)	\(1\)	\(e\left(\frac{41}{60}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{19}{20}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{13}{60}\right)\)
\(\chi_{221760}(101,\cdot)\)	221760.dzz	240	no	\(-1\)	\(1\)	\(e\left(\frac{89}{240}\right)\)	\(e\left(\frac{19}{60}\right)\)	\(e\left(\frac{17}{240}\right)\)	\(e\left(\frac{1}{24}\right)\)	\(e\left(\frac{13}{240}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{143}{240}\right)\)	\(e\left(\frac{61}{120}\right)\)	\(e\left(\frac{23}{48}\right)\)	\(e\left(\frac{11}{20}\right)\)
\(\chi_{221760}(103,\cdot)\)	221760.dsc	120	no	\(-1\)	\(1\)	\(e\left(\frac{59}{120}\right)\)	\(e\left(\frac{53}{60}\right)\)	\(e\left(\frac{77}{120}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{73}{120}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{113}{120}\right)\)	\(e\left(\frac{31}{60}\right)\)	\(e\left(\frac{17}{24}\right)\)	\(e\left(\frac{17}{20}\right)\)
\(\chi_{221760}(107,\cdot)\)	221760.efu	240	no	\(1\)	\(1\)	\(e\left(\frac{19}{80}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{61}{240}\right)\)	\(e\left(\frac{19}{24}\right)\)	\(e\left(\frac{3}{80}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{199}{240}\right)\)	\(e\left(\frac{31}{40}\right)\)	\(e\left(\frac{5}{16}\right)\)	\(e\left(\frac{1}{15}\right)\)
\(\chi_{221760}(109,\cdot)\)	221760.csq	48	no	\(-1\)	\(1\)	\(e\left(\frac{9}{16}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{43}{48}\right)\)	\(e\left(\frac{23}{24}\right)\)	\(e\left(\frac{5}{16}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{37}{48}\right)\)	\(e\left(\frac{5}{8}\right)\)	\(e\left(\frac{11}{16}\right)\)	\(e\left(\frac{1}{12}\right)\)
\(\chi_{221760}(113,\cdot)\)	221760.djf	60	no	\(1\)	\(1\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{13}{20}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{41}{60}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{59}{60}\right)\)
\(\chi_{221760}(127,\cdot)\)	221760.bok	20	no	\(-1\)	\(1\)	\(e\left(\frac{13}{20}\right)\)	\(e\left(\frac{7}{20}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(i\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{1}{20}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(-i\)	\(e\left(\frac{19}{20}\right)\)
\(\chi_{221760}(131,\cdot)\)	221760.cos	48	no	\(1\)	\(1\)	\(e\left(\frac{23}{48}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{23}{48}\right)\)	\(e\left(\frac{23}{24}\right)\)	\(e\left(\frac{19}{48}\right)\)	\(-1\)	\(e\left(\frac{17}{48}\right)\)	\(e\left(\frac{19}{24}\right)\)	\(e\left(\frac{37}{48}\right)\)	\(-i\)
\(\chi_{221760}(137,\cdot)\)	221760.dsf	120	no	\(1\)	\(1\)	\(e\left(\frac{13}{120}\right)\)	\(e\left(\frac{31}{60}\right)\)	\(e\left(\frac{79}{120}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{71}{120}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{91}{120}\right)\)	\(e\left(\frac{17}{60}\right)\)	\(e\left(\frac{7}{24}\right)\)	\(e\left(\frac{9}{20}\right)\)
\(\chi_{221760}(139,\cdot)\)	221760.eat	240	yes	\(-1\)	\(1\)	\(e\left(\frac{13}{240}\right)\)	\(e\left(\frac{1}{20}\right)\)	\(e\left(\frac{23}{80}\right)\)	\(e\left(\frac{1}{24}\right)\)	\(e\left(\frac{161}{240}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{57}{80}\right)\)	\(e\left(\frac{77}{120}\right)\)	\(e\left(\frac{43}{48}\right)\)	\(e\left(\frac{11}{60}\right)\)
\(\chi_{221760}(149,\cdot)\)	221760.eec	240	yes	\(1\)	\(1\)	\(e\left(\frac{61}{240}\right)\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{13}{240}\right)\)	\(e\left(\frac{17}{24}\right)\)	\(e\left(\frac{17}{240}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{67}{240}\right)\)	\(e\left(\frac{29}{120}\right)\)	\(e\left(\frac{43}{48}\right)\)	\(e\left(\frac{19}{20}\right)\)
\(\chi_{221760}(151,\cdot)\)	221760.dwc	120	no	\(1\)	\(1\)	\(e\left(\frac{91}{120}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{103}{120}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{47}{120}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{97}{120}\right)\)	\(e\left(\frac{29}{60}\right)\)	\(e\left(\frac{1}{24}\right)\)	\(e\left(\frac{2}{5}\right)\)

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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.