LMFDB - Group of Dirichlet characters of modulus 24882

Show commands: PariGP / SageMath

sage: H = DirichletGroup(24882)

pari: g = idealstar(,24882,2)

Character group

sage: G.order() pari: g.no
Order	=	6720
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{4}\times C_{420}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{24882}(16589,\cdot)$, $\chi_{24882}(18097,\cdot)$, $\chi_{24882}(17227,\cdot)$, $\chi_{24882}(10297,\cdot)$

First 32 of 6720 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	$-1$	$1$	$5$	$7$	$17$	$19$	$23$	$25$	$31$	$35$	$37$	$41$
$\chi_{24882}(1,\cdot)$	24882.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{24882}(5,\cdot)$	24882.kn	140	no	$1$	$1$	$e\left(\frac{19}{140}\right)$	$e\left(\frac{67}{140}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{3}{140}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{19}{70}\right)$	$e\left(\frac{131}{140}\right)$	$e\left(\frac{43}{70}\right)$	$e\left(\frac{57}{140}\right)$	$e\left(\frac{19}{20}\right)$
$\chi_{24882}(7,\cdot)$	24882.mb	420	no	$1$	$1$	$e\left(\frac{67}{140}\right)$	$e\left(\frac{53}{420}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{227}{420}\right)$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{67}{70}\right)$	$e\left(\frac{123}{140}\right)$	$e\left(\frac{127}{210}\right)$	$e\left(\frac{43}{420}\right)$	$e\left(\frac{1}{60}\right)$
$\chi_{24882}(17,\cdot)$	24882.ii	60	no	$-1$	$1$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{41}{60}\right)$	$e\left(\frac{17}{60}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{37}{60}\right)$
$\chi_{24882}(19,\cdot)$	24882.ls	420	no	$-1$	$1$	$e\left(\frac{3}{140}\right)$	$e\left(\frac{227}{420}\right)$	$e\left(\frac{17}{60}\right)$	$e\left(\frac{92}{105}\right)$	$e\left(\frac{25}{42}\right)$	$e\left(\frac{3}{70}\right)$	$e\left(\frac{61}{70}\right)$	$e\left(\frac{59}{105}\right)$	$e\left(\frac{101}{210}\right)$	$e\left(\frac{17}{30}\right)$
$\chi_{24882}(23,\cdot)$	24882.gy	42	no	$-1$	$1$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{25}{42}\right)$	$e\left(\frac{5}{42}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{19}{42}\right)$	$e\left(\frac{41}{42}\right)$	$e\left(\frac{1}{3}\right)$
$\chi_{24882}(25,\cdot)$	24882.ij	70	no	$1$	$1$	$e\left(\frac{19}{70}\right)$	$e\left(\frac{67}{70}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{3}{70}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{19}{35}\right)$	$e\left(\frac{61}{70}\right)$	$e\left(\frac{8}{35}\right)$	$e\left(\frac{57}{70}\right)$	$e\left(\frac{9}{10}\right)$
$\chi_{24882}(31,\cdot)$	24882.kh	140	no	$1$	$1$	$e\left(\frac{131}{140}\right)$	$e\left(\frac{123}{140}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{61}{70}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{61}{70}\right)$	$e\left(\frac{27}{70}\right)$	$e\left(\frac{57}{70}\right)$	$e\left(\frac{39}{70}\right)$	$e\left(\frac{4}{5}\right)$
$\chi_{24882}(35,\cdot)$	24882.kz	210	no	$1$	$1$	$e\left(\frac{43}{70}\right)$	$e\left(\frac{127}{210}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{59}{105}\right)$	$e\left(\frac{19}{42}\right)$	$e\left(\frac{8}{35}\right)$	$e\left(\frac{57}{70}\right)$	$e\left(\frac{23}{105}\right)$	$e\left(\frac{107}{210}\right)$	$e\left(\frac{29}{30}\right)$
$\chi_{24882}(37,\cdot)$	24882.lw	420	no	$1$	$1$	$e\left(\frac{57}{140}\right)$	$e\left(\frac{43}{420}\right)$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{101}{210}\right)$	$e\left(\frac{41}{42}\right)$	$e\left(\frac{57}{70}\right)$	$e\left(\frac{39}{70}\right)$	$e\left(\frac{107}{210}\right)$	$e\left(\frac{169}{210}\right)$	$e\left(\frac{14}{15}\right)$
$\chi_{24882}(41,\cdot)$	24882.ht	60	no	$1$	$1$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{1}{60}\right)$	$e\left(\frac{37}{60}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{7}{30}\right)$
$\chi_{24882}(43,\cdot)$	24882.jb	84	no	$1$	$1$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{43}{84}\right)$	$e\left(\frac{20}{21}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{27}{28}\right)$	$e\left(\frac{13}{21}\right)$	$e\left(\frac{47}{84}\right)$	$e\left(\frac{11}{12}\right)$
$\chi_{24882}(47,\cdot)$	24882.kf	140	no	$-1$	$1$	$e\left(\frac{83}{140}\right)$	$e\left(\frac{9}{140}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{13}{70}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{13}{70}\right)$	$e\left(\frac{31}{70}\right)$	$e\left(\frac{23}{35}\right)$	$e\left(\frac{37}{70}\right)$	$e\left(\frac{9}{10}\right)$
$\chi_{24882}(49,\cdot)$	24882.lc	210	no	$1$	$1$	$e\left(\frac{67}{70}\right)$	$e\left(\frac{53}{210}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{17}{210}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{32}{35}\right)$	$e\left(\frac{53}{70}\right)$	$e\left(\frac{22}{105}\right)$	$e\left(\frac{43}{210}\right)$	$e\left(\frac{1}{30}\right)$
$\chi_{24882}(53,\cdot)$	24882.iq	70	no	$-1$	$1$	$e\left(\frac{13}{70}\right)$	$e\left(\frac{22}{35}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{13}{35}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{13}{35}\right)$	$e\left(\frac{31}{35}\right)$	$e\left(\frac{57}{70}\right)$	$e\left(\frac{2}{35}\right)$	$e\left(\frac{3}{10}\right)$
$\chi_{24882}(59,\cdot)$	24882.ib	60	no	$1$	$1$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{29}{60}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{49}{60}\right)$	$e\left(\frac{1}{60}\right)$
$\chi_{24882}(61,\cdot)$	24882.ln	420	no	$1$	$1$	$e\left(\frac{37}{70}\right)$	$e\left(\frac{163}{210}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{269}{420}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{2}{35}\right)$	$e\left(\frac{81}{140}\right)$	$e\left(\frac{32}{105}\right)$	$e\left(\frac{1}{420}\right)$	$e\left(\frac{37}{60}\right)$
$\chi_{24882}(67,\cdot)$	24882.jd	84	no	$-1$	$1$	$e\left(\frac{17}{28}\right)$	$e\left(\frac{17}{84}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{53}{84}\right)$	$e\left(\frac{41}{42}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{3}{28}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{55}{84}\right)$	$e\left(\frac{7}{12}\right)$
$\chi_{24882}(71,\cdot)$	24882.lr	420	no	$1$	$1$	$e\left(\frac{139}{140}\right)$	$e\left(\frac{41}{420}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{29}{420}\right)$	$e\left(\frac{11}{21}\right)$	$e\left(\frac{69}{70}\right)$	$e\left(\frac{111}{140}\right)$	$e\left(\frac{19}{210}\right)$	$e\left(\frac{271}{420}\right)$	$e\left(\frac{37}{60}\right)$
$\chi_{24882}(73,\cdot)$	24882.kl	140	no	$-1$	$1$	$e\left(\frac{37}{140}\right)$	$e\left(\frac{31}{140}\right)$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{1}{35}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{37}{70}\right)$	$e\left(\frac{29}{70}\right)$	$e\left(\frac{17}{35}\right)$	$e\left(\frac{3}{70}\right)$	$e\left(\frac{1}{10}\right)$
$\chi_{24882}(79,\cdot)$	24882.jx	140	no	$1$	$1$	$e\left(\frac{53}{70}\right)$	$e\left(\frac{69}{70}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{107}{140}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{18}{35}\right)$	$e\left(\frac{29}{140}\right)$	$e\left(\frac{26}{35}\right)$	$e\left(\frac{3}{140}\right)$	$e\left(\frac{11}{20}\right)$
$\chi_{24882}(83,\cdot)$	24882.ko	140	no	$-1$	$1$	$e\left(\frac{59}{140}\right)$	$e\left(\frac{57}{140}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{83}{140}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{59}{70}\right)$	$e\left(\frac{101}{140}\right)$	$e\left(\frac{29}{35}\right)$	$e\left(\frac{107}{140}\right)$	$e\left(\frac{19}{20}\right)$
$\chi_{24882}(85,\cdot)$	24882.ls	420	no	$-1$	$1$	$e\left(\frac{33}{140}\right)$	$e\left(\frac{257}{420}\right)$	$e\left(\frac{47}{60}\right)$	$e\left(\frac{32}{105}\right)$	$e\left(\frac{37}{42}\right)$	$e\left(\frac{33}{70}\right)$	$e\left(\frac{41}{70}\right)$	$e\left(\frac{89}{105}\right)$	$e\left(\frac{131}{210}\right)$	$e\left(\frac{17}{30}\right)$
$\chi_{24882}(89,\cdot)$	24882.jm	84	no	$-1$	$1$	$e\left(\frac{15}{28}\right)$	$e\left(\frac{71}{84}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{1}{21}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{8}{21}\right)$	$e\left(\frac{4}{21}\right)$	$e\left(\frac{1}{3}\right)$
$\chi_{24882}(95,\cdot)$	24882.lk	420	no	$-1$	$1$	$e\left(\frac{11}{70}\right)$	$e\left(\frac{2}{105}\right)$	$e\left(\frac{23}{60}\right)$	$e\left(\frac{377}{420}\right)$	$e\left(\frac{13}{42}\right)$	$e\left(\frac{11}{35}\right)$	$e\left(\frac{113}{140}\right)$	$e\left(\frac{37}{210}\right)$	$e\left(\frac{373}{420}\right)$	$e\left(\frac{31}{60}\right)$
$\chi_{24882}(97,\cdot)$	24882.lt	420	no	$1$	$1$	$e\left(\frac{31}{140}\right)$	$e\left(\frac{269}{420}\right)$	$e\left(\frac{29}{60}\right)$	$e\left(\frac{29}{105}\right)$	$e\left(\frac{25}{42}\right)$	$e\left(\frac{31}{70}\right)$	$e\left(\frac{6}{35}\right)$	$e\left(\frac{181}{210}\right)$	$e\left(\frac{61}{105}\right)$	$e\left(\frac{29}{30}\right)$
$\chi_{24882}(101,\cdot)$	24882.lk	420	no	$-1$	$1$	$e\left(\frac{43}{70}\right)$	$e\left(\frac{46}{105}\right)$	$e\left(\frac{49}{60}\right)$	$e\left(\frac{271}{420}\right)$	$e\left(\frac{5}{42}\right)$	$e\left(\frac{8}{35}\right)$	$e\left(\frac{79}{140}\right)$	$e\left(\frac{11}{210}\right)$	$e\left(\frac{179}{420}\right)$	$e\left(\frac{53}{60}\right)$
$\chi_{24882}(103,\cdot)$	24882.ij	70	no	$1$	$1$	$e\left(\frac{31}{70}\right)$	$e\left(\frac{43}{70}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{27}{70}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{31}{35}\right)$	$e\left(\frac{59}{70}\right)$	$e\left(\frac{2}{35}\right)$	$e\left(\frac{23}{70}\right)$	$e\left(\frac{1}{10}\right)$
$\chi_{24882}(107,\cdot)$	24882.lb	210	no	$1$	$1$	$e\left(\frac{39}{70}\right)$	$e\left(\frac{11}{210}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{59}{210}\right)$	$e\left(\frac{41}{42}\right)$	$e\left(\frac{4}{35}\right)$	$e\left(\frac{23}{35}\right)$	$e\left(\frac{64}{105}\right)$	$e\left(\frac{53}{105}\right)$	$e\left(\frac{11}{15}\right)$
$\chi_{24882}(109,\cdot)$	24882.fp	28	no	$1$	$1$	$e\left(\frac{5}{28}\right)$	$e\left(\frac{25}{28}\right)$	$-1$	$e\left(\frac{17}{28}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{5}{14}\right)$	$e\left(\frac{19}{28}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{1}{28}\right)$	$-i$
$\chi_{24882}(113,\cdot)$	24882.me	420	no	$1$	$1$	$e\left(\frac{22}{35}\right)$	$e\left(\frac{8}{105}\right)$	$e\left(\frac{17}{60}\right)$	$e\left(\frac{353}{420}\right)$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{9}{35}\right)$	$e\left(\frac{67}{140}\right)$	$e\left(\frac{74}{105}\right)$	$e\left(\frac{127}{420}\right)$	$e\left(\frac{19}{60}\right)$
$\chi_{24882}(115,\cdot)$	24882.ie	60	no	$-1$	$1$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{37}{60}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{23}{60}\right)$	$e\left(\frac{17}{60}\right)$

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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	$24882$
Structure	\(C_{2}\times C_{2}\times C_{4}\times C_{420}\)
Order	$6720$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(5\)	\(7\)	\(17\)	\(19\)	\(23\)	\(25\)	\(31\)	\(35\)	\(37\)	\(41\)
\(\chi_{24882}(1,\cdot)\)	24882.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{24882}(5,\cdot)\)	24882.kn	140	no	\(1\)	\(1\)	\(e\left(\frac{19}{140}\right)\)	\(e\left(\frac{67}{140}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{3}{140}\right)\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{19}{70}\right)\)	\(e\left(\frac{131}{140}\right)\)	\(e\left(\frac{43}{70}\right)\)	\(e\left(\frac{57}{140}\right)\)	\(e\left(\frac{19}{20}\right)\)
\(\chi_{24882}(7,\cdot)\)	24882.mb	420	no	\(1\)	\(1\)	\(e\left(\frac{67}{140}\right)\)	\(e\left(\frac{53}{420}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{227}{420}\right)\)	\(e\left(\frac{31}{42}\right)\)	\(e\left(\frac{67}{70}\right)\)	\(e\left(\frac{123}{140}\right)\)	\(e\left(\frac{127}{210}\right)\)	\(e\left(\frac{43}{420}\right)\)	\(e\left(\frac{1}{60}\right)\)
\(\chi_{24882}(17,\cdot)\)	24882.ii	60	no	\(-1\)	\(1\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{41}{60}\right)\)	\(e\left(\frac{17}{60}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{13}{20}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{13}{60}\right)\)	\(e\left(\frac{37}{60}\right)\)
\(\chi_{24882}(19,\cdot)\)	24882.ls	420	no	\(-1\)	\(1\)	\(e\left(\frac{3}{140}\right)\)	\(e\left(\frac{227}{420}\right)\)	\(e\left(\frac{17}{60}\right)\)	\(e\left(\frac{92}{105}\right)\)	\(e\left(\frac{25}{42}\right)\)	\(e\left(\frac{3}{70}\right)\)	\(e\left(\frac{61}{70}\right)\)	\(e\left(\frac{59}{105}\right)\)	\(e\left(\frac{101}{210}\right)\)	\(e\left(\frac{17}{30}\right)\)
\(\chi_{24882}(23,\cdot)\)	24882.gy	42	no	\(-1\)	\(1\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{31}{42}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{25}{42}\right)\)	\(e\left(\frac{5}{42}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{19}{42}\right)\)	\(e\left(\frac{41}{42}\right)\)	\(e\left(\frac{1}{3}\right)\)
\(\chi_{24882}(25,\cdot)\)	24882.ij	70	no	\(1\)	\(1\)	\(e\left(\frac{19}{70}\right)\)	\(e\left(\frac{67}{70}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{3}{70}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{19}{35}\right)\)	\(e\left(\frac{61}{70}\right)\)	\(e\left(\frac{8}{35}\right)\)	\(e\left(\frac{57}{70}\right)\)	\(e\left(\frac{9}{10}\right)\)
\(\chi_{24882}(31,\cdot)\)	24882.kh	140	no	\(1\)	\(1\)	\(e\left(\frac{131}{140}\right)\)	\(e\left(\frac{123}{140}\right)\)	\(e\left(\frac{13}{20}\right)\)	\(e\left(\frac{61}{70}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{61}{70}\right)\)	\(e\left(\frac{27}{70}\right)\)	\(e\left(\frac{57}{70}\right)\)	\(e\left(\frac{39}{70}\right)\)	\(e\left(\frac{4}{5}\right)\)
\(\chi_{24882}(35,\cdot)\)	24882.kz	210	no	\(1\)	\(1\)	\(e\left(\frac{43}{70}\right)\)	\(e\left(\frac{127}{210}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{59}{105}\right)\)	\(e\left(\frac{19}{42}\right)\)	\(e\left(\frac{8}{35}\right)\)	\(e\left(\frac{57}{70}\right)\)	\(e\left(\frac{23}{105}\right)\)	\(e\left(\frac{107}{210}\right)\)	\(e\left(\frac{29}{30}\right)\)
\(\chi_{24882}(37,\cdot)\)	24882.lw	420	no	\(1\)	\(1\)	\(e\left(\frac{57}{140}\right)\)	\(e\left(\frac{43}{420}\right)\)	\(e\left(\frac{13}{60}\right)\)	\(e\left(\frac{101}{210}\right)\)	\(e\left(\frac{41}{42}\right)\)	\(e\left(\frac{57}{70}\right)\)	\(e\left(\frac{39}{70}\right)\)	\(e\left(\frac{107}{210}\right)\)	\(e\left(\frac{169}{210}\right)\)	\(e\left(\frac{14}{15}\right)\)
\(\chi_{24882}(41,\cdot)\)	24882.ht	60	no	\(1\)	\(1\)	\(e\left(\frac{19}{20}\right)\)	\(e\left(\frac{1}{60}\right)\)	\(e\left(\frac{37}{60}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{7}{30}\right)\)
\(\chi_{24882}(43,\cdot)\)	24882.jb	84	no	\(1\)	\(1\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{43}{84}\right)\)	\(e\left(\frac{20}{21}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{27}{28}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{47}{84}\right)\)	\(e\left(\frac{11}{12}\right)\)
\(\chi_{24882}(47,\cdot)\)	24882.kf	140	no	\(-1\)	\(1\)	\(e\left(\frac{83}{140}\right)\)	\(e\left(\frac{9}{140}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{13}{70}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{13}{70}\right)\)	\(e\left(\frac{31}{70}\right)\)	\(e\left(\frac{23}{35}\right)\)	\(e\left(\frac{37}{70}\right)\)	\(e\left(\frac{9}{10}\right)\)
\(\chi_{24882}(49,\cdot)\)	24882.lc	210	no	\(1\)	\(1\)	\(e\left(\frac{67}{70}\right)\)	\(e\left(\frac{53}{210}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{17}{210}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{32}{35}\right)\)	\(e\left(\frac{53}{70}\right)\)	\(e\left(\frac{22}{105}\right)\)	\(e\left(\frac{43}{210}\right)\)	\(e\left(\frac{1}{30}\right)\)
\(\chi_{24882}(53,\cdot)\)	24882.iq	70	no	\(-1\)	\(1\)	\(e\left(\frac{13}{70}\right)\)	\(e\left(\frac{22}{35}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{13}{35}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{13}{35}\right)\)	\(e\left(\frac{31}{35}\right)\)	\(e\left(\frac{57}{70}\right)\)	\(e\left(\frac{2}{35}\right)\)	\(e\left(\frac{3}{10}\right)\)
\(\chi_{24882}(59,\cdot)\)	24882.ib	60	no	\(1\)	\(1\)	\(e\left(\frac{11}{20}\right)\)	\(e\left(\frac{29}{60}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{49}{60}\right)\)	\(e\left(\frac{1}{60}\right)\)
\(\chi_{24882}(61,\cdot)\)	24882.ln	420	no	\(1\)	\(1\)	\(e\left(\frac{37}{70}\right)\)	\(e\left(\frac{163}{210}\right)\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{269}{420}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{2}{35}\right)\)	\(e\left(\frac{81}{140}\right)\)	\(e\left(\frac{32}{105}\right)\)	\(e\left(\frac{1}{420}\right)\)	\(e\left(\frac{37}{60}\right)\)
\(\chi_{24882}(67,\cdot)\)	24882.jd	84	no	\(-1\)	\(1\)	\(e\left(\frac{17}{28}\right)\)	\(e\left(\frac{17}{84}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{53}{84}\right)\)	\(e\left(\frac{41}{42}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{3}{28}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{55}{84}\right)\)	\(e\left(\frac{7}{12}\right)\)
\(\chi_{24882}(71,\cdot)\)	24882.lr	420	no	\(1\)	\(1\)	\(e\left(\frac{139}{140}\right)\)	\(e\left(\frac{41}{420}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{29}{420}\right)\)	\(e\left(\frac{11}{21}\right)\)	\(e\left(\frac{69}{70}\right)\)	\(e\left(\frac{111}{140}\right)\)	\(e\left(\frac{19}{210}\right)\)	\(e\left(\frac{271}{420}\right)\)	\(e\left(\frac{37}{60}\right)\)
\(\chi_{24882}(73,\cdot)\)	24882.kl	140	no	\(-1\)	\(1\)	\(e\left(\frac{37}{140}\right)\)	\(e\left(\frac{31}{140}\right)\)	\(e\left(\frac{1}{20}\right)\)	\(e\left(\frac{1}{35}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{37}{70}\right)\)	\(e\left(\frac{29}{70}\right)\)	\(e\left(\frac{17}{35}\right)\)	\(e\left(\frac{3}{70}\right)\)	\(e\left(\frac{1}{10}\right)\)
\(\chi_{24882}(79,\cdot)\)	24882.jx	140	no	\(1\)	\(1\)	\(e\left(\frac{53}{70}\right)\)	\(e\left(\frac{69}{70}\right)\)	\(e\left(\frac{13}{20}\right)\)	\(e\left(\frac{107}{140}\right)\)	\(e\left(\frac{1}{7}\right)\)	\(e\left(\frac{18}{35}\right)\)	\(e\left(\frac{29}{140}\right)\)	\(e\left(\frac{26}{35}\right)\)	\(e\left(\frac{3}{140}\right)\)	\(e\left(\frac{11}{20}\right)\)
\(\chi_{24882}(83,\cdot)\)	24882.ko	140	no	\(-1\)	\(1\)	\(e\left(\frac{59}{140}\right)\)	\(e\left(\frac{57}{140}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{83}{140}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{59}{70}\right)\)	\(e\left(\frac{101}{140}\right)\)	\(e\left(\frac{29}{35}\right)\)	\(e\left(\frac{107}{140}\right)\)	\(e\left(\frac{19}{20}\right)\)
\(\chi_{24882}(85,\cdot)\)	24882.ls	420	no	\(-1\)	\(1\)	\(e\left(\frac{33}{140}\right)\)	\(e\left(\frac{257}{420}\right)\)	\(e\left(\frac{47}{60}\right)\)	\(e\left(\frac{32}{105}\right)\)	\(e\left(\frac{37}{42}\right)\)	\(e\left(\frac{33}{70}\right)\)	\(e\left(\frac{41}{70}\right)\)	\(e\left(\frac{89}{105}\right)\)	\(e\left(\frac{131}{210}\right)\)	\(e\left(\frac{17}{30}\right)\)
\(\chi_{24882}(89,\cdot)\)	24882.jm	84	no	\(-1\)	\(1\)	\(e\left(\frac{15}{28}\right)\)	\(e\left(\frac{71}{84}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{1}{21}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{8}{21}\right)\)	\(e\left(\frac{4}{21}\right)\)	\(e\left(\frac{1}{3}\right)\)
\(\chi_{24882}(95,\cdot)\)	24882.lk	420	no	\(-1\)	\(1\)	\(e\left(\frac{11}{70}\right)\)	\(e\left(\frac{2}{105}\right)\)	\(e\left(\frac{23}{60}\right)\)	\(e\left(\frac{377}{420}\right)\)	\(e\left(\frac{13}{42}\right)\)	\(e\left(\frac{11}{35}\right)\)	\(e\left(\frac{113}{140}\right)\)	\(e\left(\frac{37}{210}\right)\)	\(e\left(\frac{373}{420}\right)\)	\(e\left(\frac{31}{60}\right)\)
\(\chi_{24882}(97,\cdot)\)	24882.lt	420	no	\(1\)	\(1\)	\(e\left(\frac{31}{140}\right)\)	\(e\left(\frac{269}{420}\right)\)	\(e\left(\frac{29}{60}\right)\)	\(e\left(\frac{29}{105}\right)\)	\(e\left(\frac{25}{42}\right)\)	\(e\left(\frac{31}{70}\right)\)	\(e\left(\frac{6}{35}\right)\)	\(e\left(\frac{181}{210}\right)\)	\(e\left(\frac{61}{105}\right)\)	\(e\left(\frac{29}{30}\right)\)
\(\chi_{24882}(101,\cdot)\)	24882.lk	420	no	\(-1\)	\(1\)	\(e\left(\frac{43}{70}\right)\)	\(e\left(\frac{46}{105}\right)\)	\(e\left(\frac{49}{60}\right)\)	\(e\left(\frac{271}{420}\right)\)	\(e\left(\frac{5}{42}\right)\)	\(e\left(\frac{8}{35}\right)\)	\(e\left(\frac{79}{140}\right)\)	\(e\left(\frac{11}{210}\right)\)	\(e\left(\frac{179}{420}\right)\)	\(e\left(\frac{53}{60}\right)\)
\(\chi_{24882}(103,\cdot)\)	24882.ij	70	no	\(1\)	\(1\)	\(e\left(\frac{31}{70}\right)\)	\(e\left(\frac{43}{70}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{27}{70}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{31}{35}\right)\)	\(e\left(\frac{59}{70}\right)\)	\(e\left(\frac{2}{35}\right)\)	\(e\left(\frac{23}{70}\right)\)	\(e\left(\frac{1}{10}\right)\)
\(\chi_{24882}(107,\cdot)\)	24882.lb	210	no	\(1\)	\(1\)	\(e\left(\frac{39}{70}\right)\)	\(e\left(\frac{11}{210}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{59}{210}\right)\)	\(e\left(\frac{41}{42}\right)\)	\(e\left(\frac{4}{35}\right)\)	\(e\left(\frac{23}{35}\right)\)	\(e\left(\frac{64}{105}\right)\)	\(e\left(\frac{53}{105}\right)\)	\(e\left(\frac{11}{15}\right)\)
\(\chi_{24882}(109,\cdot)\)	24882.fp	28	no	\(1\)	\(1\)	\(e\left(\frac{5}{28}\right)\)	\(e\left(\frac{25}{28}\right)\)	\(-1\)	\(e\left(\frac{17}{28}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{5}{14}\right)\)	\(e\left(\frac{19}{28}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{1}{28}\right)\)	\(-i\)
\(\chi_{24882}(113,\cdot)\)	24882.me	420	no	\(1\)	\(1\)	\(e\left(\frac{22}{35}\right)\)	\(e\left(\frac{8}{105}\right)\)	\(e\left(\frac{17}{60}\right)\)	\(e\left(\frac{353}{420}\right)\)	\(e\left(\frac{31}{42}\right)\)	\(e\left(\frac{9}{35}\right)\)	\(e\left(\frac{67}{140}\right)\)	\(e\left(\frac{74}{105}\right)\)	\(e\left(\frac{127}{420}\right)\)	\(e\left(\frac{19}{60}\right)\)
\(\chi_{24882}(115,\cdot)\)	24882.ie	60	no	\(-1\)	\(1\)	\(e\left(\frac{17}{20}\right)\)	\(e\left(\frac{13}{60}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{37}{60}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{23}{60}\right)\)	\(e\left(\frac{17}{60}\right)\)

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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.