LMFDB - Group of Dirichlet characters of modulus 1254

Show commands: PariGP / SageMath

sage: H = DirichletGroup(1254)

pari: g = idealstar(,1254,2)

Character group

sage: G.order() pari: g.no
Order	=	360
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{90}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{1254}(419,\cdot)$, $\chi_{1254}(343,\cdot)$, $\chi_{1254}(1123,\cdot)$

First 32 of 360 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	$-1$	$1$	$5$	$7$	$13$	$17$	$23$	$25$	$29$	$31$	$35$	$37$
$\chi_{1254}(1,\cdot)$	1254.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{1254}(5,\cdot)$	1254.bv	90	no	$-1$	$1$	$e\left(\frac{29}{90}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{38}{45}\right)$	$e\left(\frac{89}{90}\right)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{29}{45}\right)$	$e\left(\frac{37}{90}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{41}{90}\right)$	$e\left(\frac{4}{5}\right)$
$\chi_{1254}(7,\cdot)$	1254.bm	30	no	$-1$	$1$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{2}{5}\right)$
$\chi_{1254}(13,\cdot)$	1254.bp	90	no	$1$	$1$	$e\left(\frac{38}{45}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{22}{45}\right)$	$e\left(\frac{61}{90}\right)$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{31}{45}\right)$	$e\left(\frac{19}{45}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{19}{90}\right)$	$e\left(\frac{7}{10}\right)$
$\chi_{1254}(17,\cdot)$	1254.br	90	no	$1$	$1$	$e\left(\frac{89}{90}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{61}{90}\right)$	$e\left(\frac{7}{45}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{44}{45}\right)$	$e\left(\frac{11}{45}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{28}{45}\right)$	$e\left(\frac{4}{5}\right)$
$\chi_{1254}(23,\cdot)$	1254.ba	18	no	$-1$	$1$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{13}{18}\right)$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{17}{18}\right)$	$1$
$\chi_{1254}(25,\cdot)$	1254.bo	45	no	$1$	$1$	$e\left(\frac{29}{45}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{31}{45}\right)$	$e\left(\frac{44}{45}\right)$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{13}{45}\right)$	$e\left(\frac{37}{45}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{41}{45}\right)$	$e\left(\frac{3}{5}\right)$
$\chi_{1254}(29,\cdot)$	1254.bq	90	no	$-1$	$1$	$e\left(\frac{37}{90}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{19}{45}\right)$	$e\left(\frac{11}{45}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{37}{45}\right)$	$e\left(\frac{41}{90}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{44}{45}\right)$	$e\left(\frac{9}{10}\right)$
$\chi_{1254}(31,\cdot)$	1254.bl	30	no	$-1$	$1$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{7}{10}\right)$
$\chi_{1254}(35,\cdot)$	1254.br	90	no	$1$	$1$	$e\left(\frac{41}{90}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{19}{90}\right)$	$e\left(\frac{28}{45}\right)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{41}{45}\right)$	$e\left(\frac{44}{45}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{22}{45}\right)$	$e\left(\frac{1}{5}\right)$
$\chi_{1254}(37,\cdot)$	1254.s	10	no	$-1$	$1$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{4}{5}\right)$	$1$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{9}{10}\right)$
$\chi_{1254}(41,\cdot)$	1254.bq	90	no	$-1$	$1$	$e\left(\frac{23}{90}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{41}{45}\right)$	$e\left(\frac{19}{45}\right)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{23}{45}\right)$	$e\left(\frac{79}{90}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{31}{45}\right)$	$e\left(\frac{1}{10}\right)$
$\chi_{1254}(43,\cdot)$	1254.be	18	no	$-1$	$1$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{18}\right)$	$1$
$\chi_{1254}(47,\cdot)$	1254.bv	90	no	$-1$	$1$	$e\left(\frac{73}{90}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{1}{45}\right)$	$e\left(\frac{13}{90}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{28}{45}\right)$	$e\left(\frac{59}{90}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{7}{90}\right)$	$e\left(\frac{3}{5}\right)$
$\chi_{1254}(49,\cdot)$	1254.z	15	no	$1$	$1$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{4}{5}\right)$
$\chi_{1254}(53,\cdot)$	1254.bt	90	no	$1$	$1$	$e\left(\frac{61}{90}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{59}{90}\right)$	$e\left(\frac{1}{90}\right)$	$e\left(\frac{13}{18}\right)$	$e\left(\frac{16}{45}\right)$	$e\left(\frac{4}{45}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{49}{90}\right)$	$e\left(\frac{7}{10}\right)$
$\chi_{1254}(59,\cdot)$	1254.bt	90	no	$1$	$1$	$e\left(\frac{17}{90}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{43}{90}\right)$	$e\left(\frac{77}{90}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{17}{45}\right)$	$e\left(\frac{38}{45}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{83}{90}\right)$	$e\left(\frac{9}{10}\right)$
$\chi_{1254}(61,\cdot)$	1254.bs	90	no	$-1$	$1$	$e\left(\frac{17}{45}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{41}{90}\right)$	$e\left(\frac{19}{90}\right)$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{34}{45}\right)$	$e\left(\frac{17}{90}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{31}{90}\right)$	$e\left(\frac{4}{5}\right)$
$\chi_{1254}(65,\cdot)$	1254.n	6	no	$-1$	$1$	$e\left(\frac{1}{6}\right)$	$-1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{6}\right)$	$-1$	$e\left(\frac{2}{3}\right)$	$-1$
$\chi_{1254}(67,\cdot)$	1254.bc	18	no	$-1$	$1$	$e\left(\frac{1}{9}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{13}{18}\right)$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{8}{9}\right)$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{7}{9}\right)$	$-1$
$\chi_{1254}(71,\cdot)$	1254.bt	90	no	$1$	$1$	$e\left(\frac{29}{90}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{31}{90}\right)$	$e\left(\frac{89}{90}\right)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{29}{45}\right)$	$e\left(\frac{41}{45}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{41}{90}\right)$	$e\left(\frac{3}{10}\right)$
$\chi_{1254}(73,\cdot)$	1254.bs	90	no	$-1$	$1$	$e\left(\frac{16}{45}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{73}{90}\right)$	$e\left(\frac{47}{90}\right)$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{32}{45}\right)$	$e\left(\frac{61}{90}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{53}{90}\right)$	$e\left(\frac{2}{5}\right)$
$\chi_{1254}(79,\cdot)$	1254.bp	90	no	$1$	$1$	$e\left(\frac{43}{45}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{32}{45}\right)$	$e\left(\frac{11}{90}\right)$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{41}{45}\right)$	$e\left(\frac{44}{45}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{89}{90}\right)$	$e\left(\frac{7}{10}\right)$
$\chi_{1254}(83,\cdot)$	1254.bj	30	no	$1$	$1$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{4}{5}\right)$
$\chi_{1254}(85,\cdot)$	1254.bs	90	no	$-1$	$1$	$e\left(\frac{14}{45}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{47}{90}\right)$	$e\left(\frac{13}{90}\right)$	$e\left(\frac{8}{9}\right)$	$e\left(\frac{28}{45}\right)$	$e\left(\frac{59}{90}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{7}{90}\right)$	$e\left(\frac{3}{5}\right)$
$\chi_{1254}(89,\cdot)$	1254.bb	18	no	$1$	$1$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{8}{9}\right)$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{11}{18}\right)$	$-1$
$\chi_{1254}(91,\cdot)$	1254.bu	90	no	$-1$	$1$	$e\left(\frac{44}{45}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{77}{90}\right)$	$e\left(\frac{14}{45}\right)$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{43}{45}\right)$	$e\left(\frac{89}{90}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{11}{45}\right)$	$e\left(\frac{1}{10}\right)$
$\chi_{1254}(97,\cdot)$	1254.bu	90	no	$-1$	$1$	$e\left(\frac{13}{45}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{79}{90}\right)$	$e\left(\frac{43}{45}\right)$	$e\left(\frac{1}{9}\right)$	$e\left(\frac{26}{45}\right)$	$e\left(\frac{13}{90}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{37}{45}\right)$	$e\left(\frac{7}{10}\right)$
$\chi_{1254}(101,\cdot)$	1254.br	90	no	$1$	$1$	$e\left(\frac{31}{90}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{89}{90}\right)$	$e\left(\frac{8}{45}\right)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{31}{45}\right)$	$e\left(\frac{19}{45}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{32}{45}\right)$	$e\left(\frac{1}{5}\right)$
$\chi_{1254}(103,\cdot)$	1254.bl	30	no	$-1$	$1$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{9}{10}\right)$
$\chi_{1254}(107,\cdot)$	1254.bk	30	no	$-1$	$1$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{1}{10}\right)$
$\chi_{1254}(109,\cdot)$	1254.bf	18	no	$1$	$1$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{1}{9}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{18}\right)$	$-1$

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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	$1254$
Structure	\(C_{2}\times C_{2}\times C_{90}\)
Order	$360$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(5\)	\(7\)	\(13\)	\(17\)	\(23\)	\(25\)	\(29\)	\(31\)	\(35\)	\(37\)
\(\chi_{1254}(1,\cdot)\)	1254.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{1254}(5,\cdot)\)	1254.bv	90	no	\(-1\)	\(1\)	\(e\left(\frac{29}{90}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{38}{45}\right)\)	\(e\left(\frac{89}{90}\right)\)	\(e\left(\frac{5}{18}\right)\)	\(e\left(\frac{29}{45}\right)\)	\(e\left(\frac{37}{90}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{41}{90}\right)\)	\(e\left(\frac{4}{5}\right)\)
\(\chi_{1254}(7,\cdot)\)	1254.bm	30	no	\(-1\)	\(1\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{2}{5}\right)\)
\(\chi_{1254}(13,\cdot)\)	1254.bp	90	no	\(1\)	\(1\)	\(e\left(\frac{38}{45}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{22}{45}\right)\)	\(e\left(\frac{61}{90}\right)\)	\(e\left(\frac{5}{9}\right)\)	\(e\left(\frac{31}{45}\right)\)	\(e\left(\frac{19}{45}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{19}{90}\right)\)	\(e\left(\frac{7}{10}\right)\)
\(\chi_{1254}(17,\cdot)\)	1254.br	90	no	\(1\)	\(1\)	\(e\left(\frac{89}{90}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{61}{90}\right)\)	\(e\left(\frac{7}{45}\right)\)	\(e\left(\frac{11}{18}\right)\)	\(e\left(\frac{44}{45}\right)\)	\(e\left(\frac{11}{45}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{28}{45}\right)\)	\(e\left(\frac{4}{5}\right)\)
\(\chi_{1254}(23,\cdot)\)	1254.ba	18	no	\(-1\)	\(1\)	\(e\left(\frac{5}{18}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{5}{9}\right)\)	\(e\left(\frac{11}{18}\right)\)	\(e\left(\frac{13}{18}\right)\)	\(e\left(\frac{5}{9}\right)\)	\(e\left(\frac{7}{18}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{17}{18}\right)\)	\(1\)
\(\chi_{1254}(25,\cdot)\)	1254.bo	45	no	\(1\)	\(1\)	\(e\left(\frac{29}{45}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{31}{45}\right)\)	\(e\left(\frac{44}{45}\right)\)	\(e\left(\frac{5}{9}\right)\)	\(e\left(\frac{13}{45}\right)\)	\(e\left(\frac{37}{45}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{41}{45}\right)\)	\(e\left(\frac{3}{5}\right)\)
\(\chi_{1254}(29,\cdot)\)	1254.bq	90	no	\(-1\)	\(1\)	\(e\left(\frac{37}{90}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{19}{45}\right)\)	\(e\left(\frac{11}{45}\right)\)	\(e\left(\frac{7}{18}\right)\)	\(e\left(\frac{37}{45}\right)\)	\(e\left(\frac{41}{90}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{44}{45}\right)\)	\(e\left(\frac{9}{10}\right)\)
\(\chi_{1254}(31,\cdot)\)	1254.bl	30	no	\(-1\)	\(1\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{7}{10}\right)\)
\(\chi_{1254}(35,\cdot)\)	1254.br	90	no	\(1\)	\(1\)	\(e\left(\frac{41}{90}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{19}{90}\right)\)	\(e\left(\frac{28}{45}\right)\)	\(e\left(\frac{17}{18}\right)\)	\(e\left(\frac{41}{45}\right)\)	\(e\left(\frac{44}{45}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{22}{45}\right)\)	\(e\left(\frac{1}{5}\right)\)
\(\chi_{1254}(37,\cdot)\)	1254.s	10	no	\(-1\)	\(1\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(1\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{9}{10}\right)\)
\(\chi_{1254}(41,\cdot)\)	1254.bq	90	no	\(-1\)	\(1\)	\(e\left(\frac{23}{90}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{41}{45}\right)\)	\(e\left(\frac{19}{45}\right)\)	\(e\left(\frac{17}{18}\right)\)	\(e\left(\frac{23}{45}\right)\)	\(e\left(\frac{79}{90}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{31}{45}\right)\)	\(e\left(\frac{1}{10}\right)\)
\(\chi_{1254}(43,\cdot)\)	1254.be	18	no	\(-1\)	\(1\)	\(e\left(\frac{2}{9}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{17}{18}\right)\)	\(e\left(\frac{7}{18}\right)\)	\(e\left(\frac{7}{9}\right)\)	\(e\left(\frac{4}{9}\right)\)	\(e\left(\frac{11}{18}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{1}{18}\right)\)	\(1\)
\(\chi_{1254}(47,\cdot)\)	1254.bv	90	no	\(-1\)	\(1\)	\(e\left(\frac{73}{90}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{1}{45}\right)\)	\(e\left(\frac{13}{90}\right)\)	\(e\left(\frac{7}{18}\right)\)	\(e\left(\frac{28}{45}\right)\)	\(e\left(\frac{59}{90}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{7}{90}\right)\)	\(e\left(\frac{3}{5}\right)\)
\(\chi_{1254}(49,\cdot)\)	1254.z	15	no	\(1\)	\(1\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{4}{5}\right)\)
\(\chi_{1254}(53,\cdot)\)	1254.bt	90	no	\(1\)	\(1\)	\(e\left(\frac{61}{90}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{59}{90}\right)\)	\(e\left(\frac{1}{90}\right)\)	\(e\left(\frac{13}{18}\right)\)	\(e\left(\frac{16}{45}\right)\)	\(e\left(\frac{4}{45}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{49}{90}\right)\)	\(e\left(\frac{7}{10}\right)\)
\(\chi_{1254}(59,\cdot)\)	1254.bt	90	no	\(1\)	\(1\)	\(e\left(\frac{17}{90}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{43}{90}\right)\)	\(e\left(\frac{77}{90}\right)\)	\(e\left(\frac{11}{18}\right)\)	\(e\left(\frac{17}{45}\right)\)	\(e\left(\frac{38}{45}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{83}{90}\right)\)	\(e\left(\frac{9}{10}\right)\)
\(\chi_{1254}(61,\cdot)\)	1254.bs	90	no	\(-1\)	\(1\)	\(e\left(\frac{17}{45}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{41}{90}\right)\)	\(e\left(\frac{19}{90}\right)\)	\(e\left(\frac{2}{9}\right)\)	\(e\left(\frac{34}{45}\right)\)	\(e\left(\frac{17}{90}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{31}{90}\right)\)	\(e\left(\frac{4}{5}\right)\)
\(\chi_{1254}(65,\cdot)\)	1254.n	6	no	\(-1\)	\(1\)	\(e\left(\frac{1}{6}\right)\)	\(-1\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(-1\)	\(e\left(\frac{2}{3}\right)\)	\(-1\)
\(\chi_{1254}(67,\cdot)\)	1254.bc	18	no	\(-1\)	\(1\)	\(e\left(\frac{1}{9}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{13}{18}\right)\)	\(e\left(\frac{4}{9}\right)\)	\(e\left(\frac{8}{9}\right)\)	\(e\left(\frac{2}{9}\right)\)	\(e\left(\frac{1}{18}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{7}{9}\right)\)	\(-1\)
\(\chi_{1254}(71,\cdot)\)	1254.bt	90	no	\(1\)	\(1\)	\(e\left(\frac{29}{90}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{31}{90}\right)\)	\(e\left(\frac{89}{90}\right)\)	\(e\left(\frac{5}{18}\right)\)	\(e\left(\frac{29}{45}\right)\)	\(e\left(\frac{41}{45}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{41}{90}\right)\)	\(e\left(\frac{3}{10}\right)\)
\(\chi_{1254}(73,\cdot)\)	1254.bs	90	no	\(-1\)	\(1\)	\(e\left(\frac{16}{45}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{73}{90}\right)\)	\(e\left(\frac{47}{90}\right)\)	\(e\left(\frac{4}{9}\right)\)	\(e\left(\frac{32}{45}\right)\)	\(e\left(\frac{61}{90}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{53}{90}\right)\)	\(e\left(\frac{2}{5}\right)\)
\(\chi_{1254}(79,\cdot)\)	1254.bp	90	no	\(1\)	\(1\)	\(e\left(\frac{43}{45}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{32}{45}\right)\)	\(e\left(\frac{11}{90}\right)\)	\(e\left(\frac{4}{9}\right)\)	\(e\left(\frac{41}{45}\right)\)	\(e\left(\frac{44}{45}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{89}{90}\right)\)	\(e\left(\frac{7}{10}\right)\)
\(\chi_{1254}(83,\cdot)\)	1254.bj	30	no	\(1\)	\(1\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{4}{5}\right)\)
\(\chi_{1254}(85,\cdot)\)	1254.bs	90	no	\(-1\)	\(1\)	\(e\left(\frac{14}{45}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{47}{90}\right)\)	\(e\left(\frac{13}{90}\right)\)	\(e\left(\frac{8}{9}\right)\)	\(e\left(\frac{28}{45}\right)\)	\(e\left(\frac{59}{90}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{7}{90}\right)\)	\(e\left(\frac{3}{5}\right)\)
\(\chi_{1254}(89,\cdot)\)	1254.bb	18	no	\(1\)	\(1\)	\(e\left(\frac{17}{18}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{7}{18}\right)\)	\(e\left(\frac{5}{18}\right)\)	\(e\left(\frac{1}{18}\right)\)	\(e\left(\frac{8}{9}\right)\)	\(e\left(\frac{2}{9}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{11}{18}\right)\)	\(-1\)
\(\chi_{1254}(91,\cdot)\)	1254.bu	90	no	\(-1\)	\(1\)	\(e\left(\frac{44}{45}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{77}{90}\right)\)	\(e\left(\frac{14}{45}\right)\)	\(e\left(\frac{2}{9}\right)\)	\(e\left(\frac{43}{45}\right)\)	\(e\left(\frac{89}{90}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{11}{45}\right)\)	\(e\left(\frac{1}{10}\right)\)
\(\chi_{1254}(97,\cdot)\)	1254.bu	90	no	\(-1\)	\(1\)	\(e\left(\frac{13}{45}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{79}{90}\right)\)	\(e\left(\frac{43}{45}\right)\)	\(e\left(\frac{1}{9}\right)\)	\(e\left(\frac{26}{45}\right)\)	\(e\left(\frac{13}{90}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{37}{45}\right)\)	\(e\left(\frac{7}{10}\right)\)
\(\chi_{1254}(101,\cdot)\)	1254.br	90	no	\(1\)	\(1\)	\(e\left(\frac{31}{90}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{89}{90}\right)\)	\(e\left(\frac{8}{45}\right)\)	\(e\left(\frac{1}{18}\right)\)	\(e\left(\frac{31}{45}\right)\)	\(e\left(\frac{19}{45}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{32}{45}\right)\)	\(e\left(\frac{1}{5}\right)\)
\(\chi_{1254}(103,\cdot)\)	1254.bl	30	no	\(-1\)	\(1\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{9}{10}\right)\)
\(\chi_{1254}(107,\cdot)\)	1254.bk	30	no	\(-1\)	\(1\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{1}{10}\right)\)
\(\chi_{1254}(109,\cdot)\)	1254.bf	18	no	\(1\)	\(1\)	\(e\left(\frac{2}{9}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{4}{9}\right)\)	\(e\left(\frac{7}{18}\right)\)	\(e\left(\frac{7}{9}\right)\)	\(e\left(\frac{4}{9}\right)\)	\(e\left(\frac{1}{9}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{18}\right)\)	\(-1\)

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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.