LMFDB - Group of Dirichlet characters of modulus 97020

sage:H = DirichletGroup(97020)

pari:g = idealstar(,97020,2)

Character group

sage:G.order() pari:g.no
Order	=	20160
sage:H.invariants() pari:g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{2}\times C_{6}\times C_{420}$
sage:H.gens() pari:g.gen
Generators	=	$\chi_{97020}(48511,\cdot)$, $\chi_{97020}(43121,\cdot)$, $\chi_{97020}(77617,\cdot)$, $\chi_{97020}(9901,\cdot)$, $\chi_{97020}(44101,\cdot)$

First 32 of 20160 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	$-1$	$1$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$	$43$	$47$
$\chi_{97020}(1,\cdot)$	97020.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{97020}(13,\cdot)$	97020.bkq	420	no	$-1$	$1$	$e\left(\frac{397}{420}\right)$	$e\left(\frac{41}{140}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{65}{84}\right)$	$e\left(\frac{71}{105}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{13}{140}\right)$	$e\left(\frac{79}{105}\right)$	$e\left(\frac{67}{84}\right)$	$e\left(\frac{341}{420}\right)$
$\chi_{97020}(17,\cdot)$	97020.biu	420	no	$1$	$1$	$e\left(\frac{41}{140}\right)$	$e\left(\frac{307}{420}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{73}{84}\right)$	$e\left(\frac{1}{70}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{41}{420}\right)$	$e\left(\frac{9}{70}\right)$	$e\left(\frac{23}{28}\right)$	$e\left(\frac{389}{420}\right)$
$\chi_{97020}(19,\cdot)$	97020.rm	30	no	$-1$	$1$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{2}{5}\right)$	$-1$	$e\left(\frac{17}{30}\right)$
$\chi_{97020}(23,\cdot)$	97020.bbg	84	no	$-1$	$1$	$e\left(\frac{65}{84}\right)$	$e\left(\frac{73}{84}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{25}{84}\right)$	$e\left(\frac{13}{21}\right)$	$-1$	$e\left(\frac{59}{84}\right)$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{43}{84}\right)$	$e\left(\frac{17}{28}\right)$
$\chi_{97020}(29,\cdot)$	97020.bem	210	no	$1$	$1$	$e\left(\frac{71}{105}\right)$	$e\left(\frac{1}{70}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{13}{21}\right)$	$e\left(\frac{82}{105}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{43}{70}\right)$	$e\left(\frac{38}{105}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{43}{105}\right)$
$\chi_{97020}(31,\cdot)$	97020.oo	30	no	$1$	$1$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{2}{15}\right)$	$-1$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{7}{15}\right)$
$\chi_{97020}(37,\cdot)$	97020.bix	420	no	$-1$	$1$	$e\left(\frac{13}{140}\right)$	$e\left(\frac{41}{420}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{59}{84}\right)$	$e\left(\frac{43}{70}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{13}{420}\right)$	$e\left(\frac{1}{35}\right)$	$e\left(\frac{9}{28}\right)$	$e\left(\frac{277}{420}\right)$
$\chi_{97020}(41,\cdot)$	97020.bej	210	no	$-1$	$1$	$e\left(\frac{79}{105}\right)$	$e\left(\frac{9}{70}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{38}{105}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{1}{35}\right)$	$e\left(\frac{89}{210}\right)$	$e\left(\frac{41}{42}\right)$	$e\left(\frac{2}{105}\right)$
$\chi_{97020}(43,\cdot)$	97020.bas	84	yes	$-1$	$1$	$e\left(\frac{67}{84}\right)$	$e\left(\frac{23}{28}\right)$	$-1$	$e\left(\frac{43}{84}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{9}{28}\right)$	$e\left(\frac{41}{42}\right)$	$e\left(\frac{65}{84}\right)$	$e\left(\frac{53}{84}\right)$
$\chi_{97020}(47,\cdot)$	97020.bjc	420	yes	$1$	$1$	$e\left(\frac{341}{420}\right)$	$e\left(\frac{389}{420}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{17}{28}\right)$	$e\left(\frac{43}{105}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{277}{420}\right)$	$e\left(\frac{2}{105}\right)$	$e\left(\frac{53}{84}\right)$	$e\left(\frac{383}{420}\right)$
$\chi_{97020}(53,\cdot)$	97020.bjq	420	no	$1$	$1$	$e\left(\frac{99}{140}\right)$	$e\left(\frac{253}{420}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{67}{84}\right)$	$e\left(\frac{17}{35}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{239}{420}\right)$	$e\left(\frac{61}{70}\right)$	$e\left(\frac{19}{28}\right)$	$e\left(\frac{101}{420}\right)$
$\chi_{97020}(59,\cdot)$	97020.bft	210	yes	$-1$	$1$	$e\left(\frac{61}{105}\right)$	$e\left(\frac{113}{210}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{13}{14}\right)$	$e\left(\frac{169}{210}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{169}{210}\right)$	$e\left(\frac{43}{105}\right)$	$e\left(\frac{4}{21}\right)$	$e\left(\frac{103}{105}\right)$
$\chi_{97020}(61,\cdot)$	97020.bez	210	no	$1$	$1$	$e\left(\frac{92}{105}\right)$	$e\left(\frac{68}{105}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{143}{210}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{19}{105}\right)$	$e\left(\frac{101}{105}\right)$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{37}{210}\right)$
$\chi_{97020}(67,\cdot)$	97020.iz	12	no	$1$	$1$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{1}{3}\right)$	$i$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{5}{12}\right)$
$\chi_{97020}(71,\cdot)$	97020.bac	70	no	$1$	$1$	$e\left(\frac{9}{35}\right)$	$e\left(\frac{27}{70}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{41}{70}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{3}{35}\right)$	$e\left(\frac{19}{70}\right)$	$e\left(\frac{13}{14}\right)$	$e\left(\frac{2}{35}\right)$
$\chi_{97020}(73,\cdot)$	97020.bjp	420	no	$-1$	$1$	$e\left(\frac{3}{140}\right)$	$e\left(\frac{31}{420}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{61}{84}\right)$	$e\left(\frac{9}{35}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{143}{420}\right)$	$e\left(\frac{11}{35}\right)$	$e\left(\frac{1}{28}\right)$	$e\left(\frac{317}{420}\right)$
$\chi_{97020}(79,\cdot)$	97020.qz	30	no	$1$	$1$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{7}{15}\right)$	$1$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{2}{15}\right)$
$\chi_{97020}(83,\cdot)$	97020.bit	420	yes	$-1$	$1$	$e\left(\frac{233}{420}\right)$	$e\left(\frac{99}{140}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{61}{84}\right)$	$e\left(\frac{173}{210}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{57}{140}\right)$	$e\left(\frac{157}{210}\right)$	$e\left(\frac{17}{84}\right)$	$e\left(\frac{289}{420}\right)$
$\chi_{97020}(89,\cdot)$	97020.sh	42	no	$1$	$1$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{29}{42}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{5}{14}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{31}{42}\right)$
$\chi_{97020}(97,\cdot)$	97020.wv	60	no	$1$	$1$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{13}{60}\right)$
$\chi_{97020}(101,\cdot)$	97020.bfm	210	no	$-1$	$1$	$e\left(\frac{23}{105}\right)$	$e\left(\frac{209}{210}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{31}{105}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{101}{105}\right)$	$e\left(\frac{103}{210}\right)$	$e\left(\frac{13}{42}\right)$	$e\left(\frac{3}{35}\right)$
$\chi_{97020}(103,\cdot)$	97020.bjh	420	yes	$-1$	$1$	$e\left(\frac{379}{420}\right)$	$e\left(\frac{341}{420}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{55}{84}\right)$	$e\left(\frac{139}{210}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{103}{420}\right)$	$e\left(\frac{131}{210}\right)$	$e\left(\frac{19}{84}\right)$	$e\left(\frac{89}{140}\right)$
$\chi_{97020}(107,\cdot)$	97020.biv	420	no	$1$	$1$	$e\left(\frac{87}{140}\right)$	$e\left(\frac{269}{420}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{47}{84}\right)$	$e\left(\frac{67}{70}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{157}{420}\right)$	$e\left(\frac{4}{35}\right)$	$e\left(\frac{1}{28}\right)$	$e\left(\frac{373}{420}\right)$
$\chi_{97020}(109,\cdot)$	97020.so	42	no	$-1$	$1$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{29}{42}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{41}{42}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{11}{42}\right)$
$\chi_{97020}(113,\cdot)$	97020.bkt	420	no	$1$	$1$	$e\left(\frac{121}{420}\right)$	$e\left(\frac{43}{140}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{47}{84}\right)$	$e\left(\frac{83}{105}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{29}{140}\right)$	$e\left(\frac{59}{210}\right)$	$e\left(\frac{73}{84}\right)$	$e\left(\frac{233}{420}\right)$
$\chi_{97020}(127,\cdot)$	97020.bdq	140	no	$-1$	$1$	$e\left(\frac{111}{140}\right)$	$e\left(\frac{9}{140}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{15}{28}\right)$	$e\left(\frac{18}{35}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{107}{140}\right)$	$e\left(\frac{9}{70}\right)$	$e\left(\frac{9}{28}\right)$	$e\left(\frac{13}{140}\right)$
$\chi_{97020}(131,\cdot)$	97020.vi	42	no	$1$	$1$	$e\left(\frac{8}{21}\right)$	$e\left(\frac{17}{42}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{16}{21}\right)$	$e\left(\frac{19}{21}\right)$	$1$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{13}{42}\right)$	$e\left(\frac{4}{21}\right)$	$e\left(\frac{3}{14}\right)$
$\chi_{97020}(137,\cdot)$	97020.biz	420	no	$1$	$1$	$e\left(\frac{83}{420}\right)$	$e\left(\frac{247}{420}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{29}{84}\right)$	$e\left(\frac{4}{105}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{401}{420}\right)$	$e\left(\frac{37}{210}\right)$	$e\left(\frac{23}{84}\right)$	$e\left(\frac{93}{140}\right)$
$\chi_{97020}(139,\cdot)$	97020.bgh	210	yes	$-1$	$1$	$e\left(\frac{137}{210}\right)$	$e\left(\frac{51}{70}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{139}{210}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{23}{70}\right)$	$e\left(\frac{13}{105}\right)$	$e\left(\frac{41}{42}\right)$	$e\left(\frac{151}{210}\right)$
$\chi_{97020}(149,\cdot)$	97020.bfj	210	no	$1$	$1$	$e\left(\frac{52}{105}\right)$	$e\left(\frac{121}{210}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{4}{21}\right)$	$e\left(\frac{29}{105}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{23}{210}\right)$	$e\left(\frac{16}{105}\right)$	$e\left(\frac{1}{21}\right)$	$e\left(\frac{22}{35}\right)$
$\chi_{97020}(151,\cdot)$	97020.bhj	210	no	$1$	$1$	$e\left(\frac{103}{210}\right)$	$e\left(\frac{137}{210}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{37}{42}\right)$	$e\left(\frac{11}{210}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{23}{105}\right)$	$e\left(\frac{169}{210}\right)$	$e\left(\frac{2}{21}\right)$	$e\left(\frac{53}{70}\right)$

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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 $\F_{q}$
Belyi maps

Modulus	$97020$
Structure	\(C_{2}\times C_{2}\times C_{2}\times C_{6}\times C_{420}\)
Order	$20160$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(13\)	\(17\)	\(19\)	\(23\)	\(29\)	\(31\)	\(37\)	\(41\)	\(43\)	\(47\)
\(\chi_{97020}(1,\cdot)\)	97020.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{97020}(13,\cdot)\)	97020.bkq	420	no	\(-1\)	\(1\)	\(e\left(\frac{397}{420}\right)\)	\(e\left(\frac{41}{140}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{65}{84}\right)\)	\(e\left(\frac{71}{105}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{13}{140}\right)\)	\(e\left(\frac{79}{105}\right)\)	\(e\left(\frac{67}{84}\right)\)	\(e\left(\frac{341}{420}\right)\)
\(\chi_{97020}(17,\cdot)\)	97020.biu	420	no	\(1\)	\(1\)	\(e\left(\frac{41}{140}\right)\)	\(e\left(\frac{307}{420}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{73}{84}\right)\)	\(e\left(\frac{1}{70}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{41}{420}\right)\)	\(e\left(\frac{9}{70}\right)\)	\(e\left(\frac{23}{28}\right)\)	\(e\left(\frac{389}{420}\right)\)
\(\chi_{97020}(19,\cdot)\)	97020.rm	30	no	\(-1\)	\(1\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(-1\)	\(e\left(\frac{17}{30}\right)\)
\(\chi_{97020}(23,\cdot)\)	97020.bbg	84	no	\(-1\)	\(1\)	\(e\left(\frac{65}{84}\right)\)	\(e\left(\frac{73}{84}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{25}{84}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(-1\)	\(e\left(\frac{59}{84}\right)\)	\(e\left(\frac{31}{42}\right)\)	\(e\left(\frac{43}{84}\right)\)	\(e\left(\frac{17}{28}\right)\)
\(\chi_{97020}(29,\cdot)\)	97020.bem	210	no	\(1\)	\(1\)	\(e\left(\frac{71}{105}\right)\)	\(e\left(\frac{1}{70}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{82}{105}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{43}{70}\right)\)	\(e\left(\frac{38}{105}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{43}{105}\right)\)
\(\chi_{97020}(31,\cdot)\)	97020.oo	30	no	\(1\)	\(1\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(-1\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{7}{15}\right)\)
\(\chi_{97020}(37,\cdot)\)	97020.bix	420	no	\(-1\)	\(1\)	\(e\left(\frac{13}{140}\right)\)	\(e\left(\frac{41}{420}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{59}{84}\right)\)	\(e\left(\frac{43}{70}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{13}{420}\right)\)	\(e\left(\frac{1}{35}\right)\)	\(e\left(\frac{9}{28}\right)\)	\(e\left(\frac{277}{420}\right)\)
\(\chi_{97020}(41,\cdot)\)	97020.bej	210	no	\(-1\)	\(1\)	\(e\left(\frac{79}{105}\right)\)	\(e\left(\frac{9}{70}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{31}{42}\right)\)	\(e\left(\frac{38}{105}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{1}{35}\right)\)	\(e\left(\frac{89}{210}\right)\)	\(e\left(\frac{41}{42}\right)\)	\(e\left(\frac{2}{105}\right)\)
\(\chi_{97020}(43,\cdot)\)	97020.bas	84	yes	\(-1\)	\(1\)	\(e\left(\frac{67}{84}\right)\)	\(e\left(\frac{23}{28}\right)\)	\(-1\)	\(e\left(\frac{43}{84}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{9}{28}\right)\)	\(e\left(\frac{41}{42}\right)\)	\(e\left(\frac{65}{84}\right)\)	\(e\left(\frac{53}{84}\right)\)
\(\chi_{97020}(47,\cdot)\)	97020.bjc	420	yes	\(1\)	\(1\)	\(e\left(\frac{341}{420}\right)\)	\(e\left(\frac{389}{420}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{17}{28}\right)\)	\(e\left(\frac{43}{105}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{277}{420}\right)\)	\(e\left(\frac{2}{105}\right)\)	\(e\left(\frac{53}{84}\right)\)	\(e\left(\frac{383}{420}\right)\)
\(\chi_{97020}(53,\cdot)\)	97020.bjq	420	no	\(1\)	\(1\)	\(e\left(\frac{99}{140}\right)\)	\(e\left(\frac{253}{420}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{67}{84}\right)\)	\(e\left(\frac{17}{35}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{239}{420}\right)\)	\(e\left(\frac{61}{70}\right)\)	\(e\left(\frac{19}{28}\right)\)	\(e\left(\frac{101}{420}\right)\)
\(\chi_{97020}(59,\cdot)\)	97020.bft	210	yes	\(-1\)	\(1\)	\(e\left(\frac{61}{105}\right)\)	\(e\left(\frac{113}{210}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{13}{14}\right)\)	\(e\left(\frac{169}{210}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{169}{210}\right)\)	\(e\left(\frac{43}{105}\right)\)	\(e\left(\frac{4}{21}\right)\)	\(e\left(\frac{103}{105}\right)\)
\(\chi_{97020}(61,\cdot)\)	97020.bez	210	no	\(1\)	\(1\)	\(e\left(\frac{92}{105}\right)\)	\(e\left(\frac{68}{105}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{143}{210}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{19}{105}\right)\)	\(e\left(\frac{101}{105}\right)\)	\(e\left(\frac{31}{42}\right)\)	\(e\left(\frac{37}{210}\right)\)
\(\chi_{97020}(67,\cdot)\)	97020.iz	12	no	\(1\)	\(1\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(i\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{5}{12}\right)\)
\(\chi_{97020}(71,\cdot)\)	97020.bac	70	no	\(1\)	\(1\)	\(e\left(\frac{9}{35}\right)\)	\(e\left(\frac{27}{70}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{41}{70}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{3}{35}\right)\)	\(e\left(\frac{19}{70}\right)\)	\(e\left(\frac{13}{14}\right)\)	\(e\left(\frac{2}{35}\right)\)
\(\chi_{97020}(73,\cdot)\)	97020.bjp	420	no	\(-1\)	\(1\)	\(e\left(\frac{3}{140}\right)\)	\(e\left(\frac{31}{420}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{61}{84}\right)\)	\(e\left(\frac{9}{35}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{143}{420}\right)\)	\(e\left(\frac{11}{35}\right)\)	\(e\left(\frac{1}{28}\right)\)	\(e\left(\frac{317}{420}\right)\)
\(\chi_{97020}(79,\cdot)\)	97020.qz	30	no	\(1\)	\(1\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(1\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{2}{15}\right)\)
\(\chi_{97020}(83,\cdot)\)	97020.bit	420	yes	\(-1\)	\(1\)	\(e\left(\frac{233}{420}\right)\)	\(e\left(\frac{99}{140}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{61}{84}\right)\)	\(e\left(\frac{173}{210}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{57}{140}\right)\)	\(e\left(\frac{157}{210}\right)\)	\(e\left(\frac{17}{84}\right)\)	\(e\left(\frac{289}{420}\right)\)
\(\chi_{97020}(89,\cdot)\)	97020.sh	42	no	\(1\)	\(1\)	\(e\left(\frac{4}{7}\right)\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{5}{14}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{31}{42}\right)\)
\(\chi_{97020}(97,\cdot)\)	97020.wv	60	no	\(1\)	\(1\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{13}{60}\right)\)
\(\chi_{97020}(101,\cdot)\)	97020.bfm	210	no	\(-1\)	\(1\)	\(e\left(\frac{23}{105}\right)\)	\(e\left(\frac{209}{210}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{31}{42}\right)\)	\(e\left(\frac{31}{105}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{101}{105}\right)\)	\(e\left(\frac{103}{210}\right)\)	\(e\left(\frac{13}{42}\right)\)	\(e\left(\frac{3}{35}\right)\)
\(\chi_{97020}(103,\cdot)\)	97020.bjh	420	yes	\(-1\)	\(1\)	\(e\left(\frac{379}{420}\right)\)	\(e\left(\frac{341}{420}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{55}{84}\right)\)	\(e\left(\frac{139}{210}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{103}{420}\right)\)	\(e\left(\frac{131}{210}\right)\)	\(e\left(\frac{19}{84}\right)\)	\(e\left(\frac{89}{140}\right)\)
\(\chi_{97020}(107,\cdot)\)	97020.biv	420	no	\(1\)	\(1\)	\(e\left(\frac{87}{140}\right)\)	\(e\left(\frac{269}{420}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{47}{84}\right)\)	\(e\left(\frac{67}{70}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{157}{420}\right)\)	\(e\left(\frac{4}{35}\right)\)	\(e\left(\frac{1}{28}\right)\)	\(e\left(\frac{373}{420}\right)\)
\(\chi_{97020}(109,\cdot)\)	97020.so	42	no	\(-1\)	\(1\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{41}{42}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{11}{42}\right)\)
\(\chi_{97020}(113,\cdot)\)	97020.bkt	420	no	\(1\)	\(1\)	\(e\left(\frac{121}{420}\right)\)	\(e\left(\frac{43}{140}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{47}{84}\right)\)	\(e\left(\frac{83}{105}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{29}{140}\right)\)	\(e\left(\frac{59}{210}\right)\)	\(e\left(\frac{73}{84}\right)\)	\(e\left(\frac{233}{420}\right)\)
\(\chi_{97020}(127,\cdot)\)	97020.bdq	140	no	\(-1\)	\(1\)	\(e\left(\frac{111}{140}\right)\)	\(e\left(\frac{9}{140}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{15}{28}\right)\)	\(e\left(\frac{18}{35}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{107}{140}\right)\)	\(e\left(\frac{9}{70}\right)\)	\(e\left(\frac{9}{28}\right)\)	\(e\left(\frac{13}{140}\right)\)
\(\chi_{97020}(131,\cdot)\)	97020.vi	42	no	\(1\)	\(1\)	\(e\left(\frac{8}{21}\right)\)	\(e\left(\frac{17}{42}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(1\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{13}{42}\right)\)	\(e\left(\frac{4}{21}\right)\)	\(e\left(\frac{3}{14}\right)\)
\(\chi_{97020}(137,\cdot)\)	97020.biz	420	no	\(1\)	\(1\)	\(e\left(\frac{83}{420}\right)\)	\(e\left(\frac{247}{420}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{29}{84}\right)\)	\(e\left(\frac{4}{105}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{401}{420}\right)\)	\(e\left(\frac{37}{210}\right)\)	\(e\left(\frac{23}{84}\right)\)	\(e\left(\frac{93}{140}\right)\)
\(\chi_{97020}(139,\cdot)\)	97020.bgh	210	yes	\(-1\)	\(1\)	\(e\left(\frac{137}{210}\right)\)	\(e\left(\frac{51}{70}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{139}{210}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{23}{70}\right)\)	\(e\left(\frac{13}{105}\right)\)	\(e\left(\frac{41}{42}\right)\)	\(e\left(\frac{151}{210}\right)\)
\(\chi_{97020}(149,\cdot)\)	97020.bfj	210	no	\(1\)	\(1\)	\(e\left(\frac{52}{105}\right)\)	\(e\left(\frac{121}{210}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{4}{21}\right)\)	\(e\left(\frac{29}{105}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{23}{210}\right)\)	\(e\left(\frac{16}{105}\right)\)	\(e\left(\frac{1}{21}\right)\)	\(e\left(\frac{22}{35}\right)\)
\(\chi_{97020}(151,\cdot)\)	97020.bhj	210	no	\(1\)	\(1\)	\(e\left(\frac{103}{210}\right)\)	\(e\left(\frac{137}{210}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{37}{42}\right)\)	\(e\left(\frac{11}{210}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{23}{105}\right)\)	\(e\left(\frac{169}{210}\right)\)	\(e\left(\frac{2}{21}\right)\)	\(e\left(\frac{53}{70}\right)\)

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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.