LMFDB - Group of Dirichlet characters of modulus 3234

Show commands: PariGP / SageMath

sage: H = DirichletGroup(3234)

pari: g = idealstar(,3234,2)

Character group

sage: G.order() pari: g.no
Order	=	840
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{210}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{3234}(1079,\cdot)$, $\chi_{3234}(199,\cdot)$, $\chi_{3234}(2059,\cdot)$

First 32 of 840 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	$-1$	$1$	$5$	$13$	$17$	$19$	$23$	$25$	$29$	$31$	$37$	$41$
$\chi_{3234}(1,\cdot)$	3234.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{3234}(5,\cdot)$	3234.cf	210	no	$1$	$1$	$e\left(\frac{13}{105}\right)$	$e\left(\frac{13}{70}\right)$	$e\left(\frac{38}{105}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{26}{105}\right)$	$e\left(\frac{51}{70}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{94}{105}\right)$	$e\left(\frac{2}{35}\right)$
$\chi_{3234}(13,\cdot)$	3234.ca	70	no	$1$	$1$	$e\left(\frac{13}{70}\right)$	$e\left(\frac{1}{35}\right)$	$e\left(\frac{19}{35}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{13}{35}\right)$	$e\left(\frac{59}{70}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{12}{35}\right)$	$e\left(\frac{3}{35}\right)$
$\chi_{3234}(17,\cdot)$	3234.ch	210	no	$-1$	$1$	$e\left(\frac{38}{105}\right)$	$e\left(\frac{19}{35}\right)$	$e\left(\frac{101}{210}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{5}{42}\right)$	$e\left(\frac{76}{105}\right)$	$e\left(\frac{18}{35}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{89}{105}\right)$	$e\left(\frac{9}{70}\right)$
$\chi_{3234}(19,\cdot)$	3234.bj	30	no	$1$	$1$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{2}{5}\right)$
$\chi_{3234}(23,\cdot)$	3234.bq	42	no	$-1$	$1$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{5}{42}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{37}{42}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{20}{21}\right)$	$e\left(\frac{1}{14}\right)$
$\chi_{3234}(25,\cdot)$	3234.ce	105	no	$1$	$1$	$e\left(\frac{26}{105}\right)$	$e\left(\frac{13}{35}\right)$	$e\left(\frac{76}{105}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{52}{105}\right)$	$e\left(\frac{16}{35}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{83}{105}\right)$	$e\left(\frac{4}{35}\right)$
$\chi_{3234}(29,\cdot)$	3234.by	70	no	$1$	$1$	$e\left(\frac{51}{70}\right)$	$e\left(\frac{59}{70}\right)$	$e\left(\frac{18}{35}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{16}{35}\right)$	$e\left(\frac{4}{35}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{4}{35}\right)$	$e\left(\frac{1}{35}\right)$
$\chi_{3234}(31,\cdot)$	3234.bk	30	no	$-1$	$1$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{3}{10}\right)$
$\chi_{3234}(37,\cdot)$	3234.ce	105	no	$1$	$1$	$e\left(\frac{94}{105}\right)$	$e\left(\frac{12}{35}\right)$	$e\left(\frac{89}{105}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{20}{21}\right)$	$e\left(\frac{83}{105}\right)$	$e\left(\frac{4}{35}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{82}{105}\right)$	$e\left(\frac{1}{35}\right)$
$\chi_{3234}(41,\cdot)$	3234.cd	70	no	$-1$	$1$	$e\left(\frac{2}{35}\right)$	$e\left(\frac{3}{35}\right)$	$e\left(\frac{9}{70}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{4}{35}\right)$	$e\left(\frac{1}{35}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{1}{35}\right)$	$e\left(\frac{53}{70}\right)$
$\chi_{3234}(43,\cdot)$	3234.bb	14	no	$-1$	$1$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{1}{14}\right)$	$-1$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{1}{14}\right)$	$1$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{9}{14}\right)$
$\chi_{3234}(47,\cdot)$	3234.cf	210	no	$1$	$1$	$e\left(\frac{16}{105}\right)$	$e\left(\frac{51}{70}\right)$	$e\left(\frac{71}{105}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{32}{105}\right)$	$e\left(\frac{17}{70}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{43}{105}\right)$	$e\left(\frac{24}{35}\right)$
$\chi_{3234}(53,\cdot)$	3234.cl	210	no	$-1$	$1$	$e\left(\frac{169}{210}\right)$	$e\left(\frac{16}{35}\right)$	$e\left(\frac{179}{210}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{23}{42}\right)$	$e\left(\frac{64}{105}\right)$	$e\left(\frac{69}{70}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{86}{105}\right)$	$e\left(\frac{61}{70}\right)$
$\chi_{3234}(59,\cdot)$	3234.cf	210	no	$1$	$1$	$e\left(\frac{29}{105}\right)$	$e\left(\frac{29}{70}\right)$	$e\left(\frac{4}{105}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{11}{42}\right)$	$e\left(\frac{58}{105}\right)$	$e\left(\frac{33}{70}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{32}{105}\right)$	$e\left(\frac{26}{35}\right)$
$\chi_{3234}(61,\cdot)$	3234.ck	210	no	$1$	$1$	$e\left(\frac{41}{210}\right)$	$e\left(\frac{19}{35}\right)$	$e\left(\frac{68}{105}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{20}{21}\right)$	$e\left(\frac{41}{105}\right)$	$e\left(\frac{1}{70}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{19}{105}\right)$	$e\left(\frac{22}{35}\right)$
$\chi_{3234}(65,\cdot)$	3234.bt	42	no	$1$	$1$	$e\left(\frac{13}{42}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{25}{42}\right)$	$e\left(\frac{13}{21}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{1}{7}\right)$
$\chi_{3234}(67,\cdot)$	3234.i	3	no	$1$	$1$	$e\left(\frac{1}{3}\right)$	$1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$	$1$
$\chi_{3234}(71,\cdot)$	3234.bz	70	no	$-1$	$1$	$e\left(\frac{47}{70}\right)$	$e\left(\frac{9}{35}\right)$	$e\left(\frac{27}{70}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{12}{35}\right)$	$e\left(\frac{41}{70}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{3}{35}\right)$	$e\left(\frac{19}{70}\right)$
$\chi_{3234}(73,\cdot)$	3234.ck	210	no	$1$	$1$	$e\left(\frac{73}{210}\right)$	$e\left(\frac{27}{35}\right)$	$e\left(\frac{34}{105}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{73}{105}\right)$	$e\left(\frac{53}{70}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{62}{105}\right)$	$e\left(\frac{11}{35}\right)$
$\chi_{3234}(79,\cdot)$	3234.bn	30	no	$-1$	$1$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{3}{10}\right)$
$\chi_{3234}(83,\cdot)$	3234.cd	70	no	$-1$	$1$	$e\left(\frac{11}{35}\right)$	$e\left(\frac{34}{35}\right)$	$e\left(\frac{67}{70}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{22}{35}\right)$	$e\left(\frac{23}{35}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{23}{35}\right)$	$e\left(\frac{29}{70}\right)$
$\chi_{3234}(85,\cdot)$	3234.cb	70	no	$-1$	$1$	$e\left(\frac{17}{35}\right)$	$e\left(\frac{51}{70}\right)$	$e\left(\frac{59}{70}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{34}{35}\right)$	$e\left(\frac{17}{70}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{26}{35}\right)$	$e\left(\frac{13}{70}\right)$
$\chi_{3234}(89,\cdot)$	3234.bw	42	no	$1$	$1$	$e\left(\frac{8}{21}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{4}{21}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{13}{42}\right)$	$e\left(\frac{16}{21}\right)$	$e\left(\frac{5}{14}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{11}{21}\right)$	$e\left(\frac{5}{7}\right)$
$\chi_{3234}(95,\cdot)$	3234.ci	210	no	$1$	$1$	$e\left(\frac{103}{210}\right)$	$e\left(\frac{69}{70}\right)$	$e\left(\frac{94}{105}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{17}{42}\right)$	$e\left(\frac{103}{105}\right)$	$e\left(\frac{29}{35}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{17}{105}\right)$	$e\left(\frac{16}{35}\right)$
$\chi_{3234}(97,\cdot)$	3234.y	10	no	$-1$	$1$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{3}{10}\right)$	$1$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{3}{10}\right)$
$\chi_{3234}(101,\cdot)$	3234.ch	210	no	$-1$	$1$	$e\left(\frac{62}{105}\right)$	$e\left(\frac{31}{35}\right)$	$e\left(\frac{209}{210}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{17}{42}\right)$	$e\left(\frac{19}{105}\right)$	$e\left(\frac{22}{35}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{101}{105}\right)$	$e\left(\frac{11}{70}\right)$
$\chi_{3234}(103,\cdot)$	3234.cj	210	no	$-1$	$1$	$e\left(\frac{173}{210}\right)$	$e\left(\frac{69}{70}\right)$	$e\left(\frac{13}{210}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{68}{105}\right)$	$e\left(\frac{29}{35}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{52}{105}\right)$	$e\left(\frac{67}{70}\right)$
$\chi_{3234}(107,\cdot)$	3234.ci	210	no	$1$	$1$	$e\left(\frac{17}{210}\right)$	$e\left(\frac{61}{70}\right)$	$e\left(\frac{41}{105}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{13}{42}\right)$	$e\left(\frac{17}{105}\right)$	$e\left(\frac{16}{35}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{13}{105}\right)$	$e\left(\frac{4}{35}\right)$
$\chi_{3234}(109,\cdot)$	3234.bv	42	no	$-1$	$1$	$e\left(\frac{13}{21}\right)$	$e\left(\frac{13}{14}\right)$	$e\left(\frac{13}{42}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{4}{21}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{11}{14}\right)$
$\chi_{3234}(113,\cdot)$	3234.bz	70	no	$-1$	$1$	$e\left(\frac{29}{70}\right)$	$e\left(\frac{13}{35}\right)$	$e\left(\frac{39}{70}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{29}{35}\right)$	$e\left(\frac{67}{70}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{16}{35}\right)$	$e\left(\frac{43}{70}\right)$
$\chi_{3234}(115,\cdot)$	3234.cj	210	no	$-1$	$1$	$e\left(\frac{181}{210}\right)$	$e\left(\frac{3}{70}\right)$	$e\left(\frac{101}{210}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{13}{21}\right)$	$e\left(\frac{76}{105}\right)$	$e\left(\frac{18}{35}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{89}{105}\right)$	$e\left(\frac{9}{70}\right)$

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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 $\F_{q}$

Modulus	$3234$
Structure	\(C_{2}\times C_{2}\times C_{210}\)
Order	$840$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(5\)	\(13\)	\(17\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)	\(37\)	\(41\)
\(\chi_{3234}(1,\cdot)\)	3234.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{3234}(5,\cdot)\)	3234.cf	210	no	\(1\)	\(1\)	\(e\left(\frac{13}{105}\right)\)	\(e\left(\frac{13}{70}\right)\)	\(e\left(\frac{38}{105}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{31}{42}\right)\)	\(e\left(\frac{26}{105}\right)\)	\(e\left(\frac{51}{70}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{94}{105}\right)\)	\(e\left(\frac{2}{35}\right)\)
\(\chi_{3234}(13,\cdot)\)	3234.ca	70	no	\(1\)	\(1\)	\(e\left(\frac{13}{70}\right)\)	\(e\left(\frac{1}{35}\right)\)	\(e\left(\frac{19}{35}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{13}{35}\right)\)	\(e\left(\frac{59}{70}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{12}{35}\right)\)	\(e\left(\frac{3}{35}\right)\)
\(\chi_{3234}(17,\cdot)\)	3234.ch	210	no	\(-1\)	\(1\)	\(e\left(\frac{38}{105}\right)\)	\(e\left(\frac{19}{35}\right)\)	\(e\left(\frac{101}{210}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{5}{42}\right)\)	\(e\left(\frac{76}{105}\right)\)	\(e\left(\frac{18}{35}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{89}{105}\right)\)	\(e\left(\frac{9}{70}\right)\)
\(\chi_{3234}(19,\cdot)\)	3234.bj	30	no	\(1\)	\(1\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{2}{5}\right)\)
\(\chi_{3234}(23,\cdot)\)	3234.bq	42	no	\(-1\)	\(1\)	\(e\left(\frac{31}{42}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{5}{42}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{37}{42}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{20}{21}\right)\)	\(e\left(\frac{1}{14}\right)\)
\(\chi_{3234}(25,\cdot)\)	3234.ce	105	no	\(1\)	\(1\)	\(e\left(\frac{26}{105}\right)\)	\(e\left(\frac{13}{35}\right)\)	\(e\left(\frac{76}{105}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{52}{105}\right)\)	\(e\left(\frac{16}{35}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{83}{105}\right)\)	\(e\left(\frac{4}{35}\right)\)
\(\chi_{3234}(29,\cdot)\)	3234.by	70	no	\(1\)	\(1\)	\(e\left(\frac{51}{70}\right)\)	\(e\left(\frac{59}{70}\right)\)	\(e\left(\frac{18}{35}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{16}{35}\right)\)	\(e\left(\frac{4}{35}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{4}{35}\right)\)	\(e\left(\frac{1}{35}\right)\)
\(\chi_{3234}(31,\cdot)\)	3234.bk	30	no	\(-1\)	\(1\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{3}{10}\right)\)
\(\chi_{3234}(37,\cdot)\)	3234.ce	105	no	\(1\)	\(1\)	\(e\left(\frac{94}{105}\right)\)	\(e\left(\frac{12}{35}\right)\)	\(e\left(\frac{89}{105}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{20}{21}\right)\)	\(e\left(\frac{83}{105}\right)\)	\(e\left(\frac{4}{35}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{82}{105}\right)\)	\(e\left(\frac{1}{35}\right)\)
\(\chi_{3234}(41,\cdot)\)	3234.cd	70	no	\(-1\)	\(1\)	\(e\left(\frac{2}{35}\right)\)	\(e\left(\frac{3}{35}\right)\)	\(e\left(\frac{9}{70}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{4}{35}\right)\)	\(e\left(\frac{1}{35}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{1}{35}\right)\)	\(e\left(\frac{53}{70}\right)\)
\(\chi_{3234}(43,\cdot)\)	3234.bb	14	no	\(-1\)	\(1\)	\(e\left(\frac{1}{7}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(-1\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(1\)	\(e\left(\frac{4}{7}\right)\)	\(e\left(\frac{9}{14}\right)\)
\(\chi_{3234}(47,\cdot)\)	3234.cf	210	no	\(1\)	\(1\)	\(e\left(\frac{16}{105}\right)\)	\(e\left(\frac{51}{70}\right)\)	\(e\left(\frac{71}{105}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{32}{105}\right)\)	\(e\left(\frac{17}{70}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{43}{105}\right)\)	\(e\left(\frac{24}{35}\right)\)
\(\chi_{3234}(53,\cdot)\)	3234.cl	210	no	\(-1\)	\(1\)	\(e\left(\frac{169}{210}\right)\)	\(e\left(\frac{16}{35}\right)\)	\(e\left(\frac{179}{210}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{23}{42}\right)\)	\(e\left(\frac{64}{105}\right)\)	\(e\left(\frac{69}{70}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{86}{105}\right)\)	\(e\left(\frac{61}{70}\right)\)
\(\chi_{3234}(59,\cdot)\)	3234.cf	210	no	\(1\)	\(1\)	\(e\left(\frac{29}{105}\right)\)	\(e\left(\frac{29}{70}\right)\)	\(e\left(\frac{4}{105}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{11}{42}\right)\)	\(e\left(\frac{58}{105}\right)\)	\(e\left(\frac{33}{70}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{32}{105}\right)\)	\(e\left(\frac{26}{35}\right)\)
\(\chi_{3234}(61,\cdot)\)	3234.ck	210	no	\(1\)	\(1\)	\(e\left(\frac{41}{210}\right)\)	\(e\left(\frac{19}{35}\right)\)	\(e\left(\frac{68}{105}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{20}{21}\right)\)	\(e\left(\frac{41}{105}\right)\)	\(e\left(\frac{1}{70}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{19}{105}\right)\)	\(e\left(\frac{22}{35}\right)\)
\(\chi_{3234}(65,\cdot)\)	3234.bt	42	no	\(1\)	\(1\)	\(e\left(\frac{13}{42}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{25}{42}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{4}{7}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{1}{7}\right)\)
\(\chi_{3234}(67,\cdot)\)	3234.i	3	no	\(1\)	\(1\)	\(e\left(\frac{1}{3}\right)\)	\(1\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(1\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(1\)
\(\chi_{3234}(71,\cdot)\)	3234.bz	70	no	\(-1\)	\(1\)	\(e\left(\frac{47}{70}\right)\)	\(e\left(\frac{9}{35}\right)\)	\(e\left(\frac{27}{70}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{12}{35}\right)\)	\(e\left(\frac{41}{70}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{3}{35}\right)\)	\(e\left(\frac{19}{70}\right)\)
\(\chi_{3234}(73,\cdot)\)	3234.ck	210	no	\(1\)	\(1\)	\(e\left(\frac{73}{210}\right)\)	\(e\left(\frac{27}{35}\right)\)	\(e\left(\frac{34}{105}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{73}{105}\right)\)	\(e\left(\frac{53}{70}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{62}{105}\right)\)	\(e\left(\frac{11}{35}\right)\)
\(\chi_{3234}(79,\cdot)\)	3234.bn	30	no	\(-1\)	\(1\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{3}{10}\right)\)
\(\chi_{3234}(83,\cdot)\)	3234.cd	70	no	\(-1\)	\(1\)	\(e\left(\frac{11}{35}\right)\)	\(e\left(\frac{34}{35}\right)\)	\(e\left(\frac{67}{70}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{22}{35}\right)\)	\(e\left(\frac{23}{35}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{23}{35}\right)\)	\(e\left(\frac{29}{70}\right)\)
\(\chi_{3234}(85,\cdot)\)	3234.cb	70	no	\(-1\)	\(1\)	\(e\left(\frac{17}{35}\right)\)	\(e\left(\frac{51}{70}\right)\)	\(e\left(\frac{59}{70}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{34}{35}\right)\)	\(e\left(\frac{17}{70}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{26}{35}\right)\)	\(e\left(\frac{13}{70}\right)\)
\(\chi_{3234}(89,\cdot)\)	3234.bw	42	no	\(1\)	\(1\)	\(e\left(\frac{8}{21}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{4}{21}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{13}{42}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{5}{14}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{11}{21}\right)\)	\(e\left(\frac{5}{7}\right)\)
\(\chi_{3234}(95,\cdot)\)	3234.ci	210	no	\(1\)	\(1\)	\(e\left(\frac{103}{210}\right)\)	\(e\left(\frac{69}{70}\right)\)	\(e\left(\frac{94}{105}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{17}{42}\right)\)	\(e\left(\frac{103}{105}\right)\)	\(e\left(\frac{29}{35}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{17}{105}\right)\)	\(e\left(\frac{16}{35}\right)\)
\(\chi_{3234}(97,\cdot)\)	3234.y	10	no	\(-1\)	\(1\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(1\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{3}{10}\right)\)
\(\chi_{3234}(101,\cdot)\)	3234.ch	210	no	\(-1\)	\(1\)	\(e\left(\frac{62}{105}\right)\)	\(e\left(\frac{31}{35}\right)\)	\(e\left(\frac{209}{210}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{17}{42}\right)\)	\(e\left(\frac{19}{105}\right)\)	\(e\left(\frac{22}{35}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{101}{105}\right)\)	\(e\left(\frac{11}{70}\right)\)
\(\chi_{3234}(103,\cdot)\)	3234.cj	210	no	\(-1\)	\(1\)	\(e\left(\frac{173}{210}\right)\)	\(e\left(\frac{69}{70}\right)\)	\(e\left(\frac{13}{210}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{68}{105}\right)\)	\(e\left(\frac{29}{35}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{52}{105}\right)\)	\(e\left(\frac{67}{70}\right)\)
\(\chi_{3234}(107,\cdot)\)	3234.ci	210	no	\(1\)	\(1\)	\(e\left(\frac{17}{210}\right)\)	\(e\left(\frac{61}{70}\right)\)	\(e\left(\frac{41}{105}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{13}{42}\right)\)	\(e\left(\frac{17}{105}\right)\)	\(e\left(\frac{16}{35}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{13}{105}\right)\)	\(e\left(\frac{4}{35}\right)\)
\(\chi_{3234}(109,\cdot)\)	3234.bv	42	no	\(-1\)	\(1\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{13}{14}\right)\)	\(e\left(\frac{13}{42}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{4}{21}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{11}{14}\right)\)
\(\chi_{3234}(113,\cdot)\)	3234.bz	70	no	\(-1\)	\(1\)	\(e\left(\frac{29}{70}\right)\)	\(e\left(\frac{13}{35}\right)\)	\(e\left(\frac{39}{70}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{29}{35}\right)\)	\(e\left(\frac{67}{70}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{16}{35}\right)\)	\(e\left(\frac{43}{70}\right)\)
\(\chi_{3234}(115,\cdot)\)	3234.cj	210	no	\(-1\)	\(1\)	\(e\left(\frac{181}{210}\right)\)	\(e\left(\frac{3}{70}\right)\)	\(e\left(\frac{101}{210}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{76}{105}\right)\)	\(e\left(\frac{18}{35}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{89}{105}\right)\)	\(e\left(\frac{9}{70}\right)\)

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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.