LMFDB - Group of Dirichlet characters of modulus 3366

Show commands: PariGP / SageMath

sage: H = DirichletGroup(3366)

pari: g = idealstar(,3366,2)

Character group

sage: G.order() pari: g.no
Order	=	960
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{240}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{3366}(749,\cdot)$, $\chi_{3366}(1531,\cdot)$, $\chi_{3366}(2179,\cdot)$

First 32 of 960 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	$-1$	$1$	$5$	$7$	$13$	$19$	$23$	$25$	$29$	$31$	$35$	$37$
$\chi_{3366}(1,\cdot)$	3366.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{3366}(5,\cdot)$	3366.da	240	no	$1$	$1$	$e\left(\frac{79}{240}\right)$	$e\left(\frac{137}{240}\right)$	$e\left(\frac{19}{60}\right)$	$e\left(\frac{23}{40}\right)$	$e\left(\frac{41}{48}\right)$	$e\left(\frac{79}{120}\right)$	$e\left(\frac{167}{240}\right)$	$e\left(\frac{211}{240}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{9}{80}\right)$
$\chi_{3366}(7,\cdot)$	3366.db	240	no	$1$	$1$	$e\left(\frac{137}{240}\right)$	$e\left(\frac{31}{240}\right)$	$e\left(\frac{47}{60}\right)$	$e\left(\frac{29}{40}\right)$	$e\left(\frac{31}{48}\right)$	$e\left(\frac{17}{120}\right)$	$e\left(\frac{121}{240}\right)$	$e\left(\frac{173}{240}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{7}{80}\right)$
$\chi_{3366}(13,\cdot)$	3366.cn	60	no	$-1$	$1$	$e\left(\frac{19}{60}\right)$	$e\left(\frac{47}{60}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{17}{60}\right)$	$e\left(\frac{31}{60}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{9}{20}\right)$
$\chi_{3366}(19,\cdot)$	3366.cf	40	no	$-1$	$1$	$e\left(\frac{23}{40}\right)$	$e\left(\frac{29}{40}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{19}{40}\right)$	$e\left(\frac{27}{40}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{19}{40}\right)$
$\chi_{3366}(23,\cdot)$	3366.cj	48	no	$1$	$1$	$e\left(\frac{41}{48}\right)$	$e\left(\frac{31}{48}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{11}{48}\right)$	$e\left(\frac{17}{24}\right)$	$e\left(\frac{1}{48}\right)$	$e\left(\frac{5}{48}\right)$	$-1$	$e\left(\frac{15}{16}\right)$
$\chi_{3366}(25,\cdot)$	3366.cu	120	no	$1$	$1$	$e\left(\frac{79}{120}\right)$	$e\left(\frac{17}{120}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{17}{24}\right)$	$e\left(\frac{19}{60}\right)$	$e\left(\frac{47}{120}\right)$	$e\left(\frac{91}{120}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{9}{40}\right)$
$\chi_{3366}(29,\cdot)$	3366.cy	240	no	$-1$	$1$	$e\left(\frac{167}{240}\right)$	$e\left(\frac{121}{240}\right)$	$e\left(\frac{17}{60}\right)$	$e\left(\frac{19}{40}\right)$	$e\left(\frac{1}{48}\right)$	$e\left(\frac{47}{120}\right)$	$e\left(\frac{151}{240}\right)$	$e\left(\frac{203}{240}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{17}{80}\right)$
$\chi_{3366}(31,\cdot)$	3366.cz	240	no	$-1$	$1$	$e\left(\frac{211}{240}\right)$	$e\left(\frac{173}{240}\right)$	$e\left(\frac{31}{60}\right)$	$e\left(\frac{27}{40}\right)$	$e\left(\frac{5}{48}\right)$	$e\left(\frac{91}{120}\right)$	$e\left(\frac{203}{240}\right)$	$e\left(\frac{79}{240}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{61}{80}\right)$
$\chi_{3366}(35,\cdot)$	3366.bf	10	no	$1$	$1$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{3}{10}\right)$	$-1$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{1}{5}\right)$
$\chi_{3366}(37,\cdot)$	3366.cq	80	no	$-1$	$1$	$e\left(\frac{9}{80}\right)$	$e\left(\frac{7}{80}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{19}{40}\right)$	$e\left(\frac{15}{16}\right)$	$e\left(\frac{9}{40}\right)$	$e\left(\frac{17}{80}\right)$	$e\left(\frac{61}{80}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{37}{80}\right)$
$\chi_{3366}(41,\cdot)$	3366.cy	240	no	$-1$	$1$	$e\left(\frac{193}{240}\right)$	$e\left(\frac{239}{240}\right)$	$e\left(\frac{43}{60}\right)$	$e\left(\frac{21}{40}\right)$	$e\left(\frac{23}{48}\right)$	$e\left(\frac{73}{120}\right)$	$e\left(\frac{209}{240}\right)$	$e\left(\frac{157}{240}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{23}{80}\right)$
$\chi_{3366}(43,\cdot)$	3366.bt	24	no	$-1$	$1$	$e\left(\frac{23}{24}\right)$	$e\left(\frac{13}{24}\right)$	$e\left(\frac{1}{3}\right)$	$i$	$e\left(\frac{5}{24}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{11}{24}\right)$	$-1$	$e\left(\frac{1}{8}\right)$
$\chi_{3366}(47,\cdot)$	3366.cp	60	no	$-1$	$1$	$e\left(\frac{17}{60}\right)$	$e\left(\frac{1}{60}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{1}{60}\right)$	$e\left(\frac{23}{60}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{17}{20}\right)$
$\chi_{3366}(49,\cdot)$	3366.cu	120	no	$1$	$1$	$e\left(\frac{17}{120}\right)$	$e\left(\frac{31}{120}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{7}{24}\right)$	$e\left(\frac{17}{60}\right)$	$e\left(\frac{1}{120}\right)$	$e\left(\frac{53}{120}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{7}{40}\right)$
$\chi_{3366}(53,\cdot)$	3366.ch	40	no	$-1$	$1$	$e\left(\frac{11}{40}\right)$	$e\left(\frac{33}{40}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{3}{40}\right)$	$e\left(\frac{19}{40}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{3}{40}\right)$
$\chi_{3366}(59,\cdot)$	3366.cv	120	no	$-1$	$1$	$e\left(\frac{11}{120}\right)$	$e\left(\frac{73}{120}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{13}{24}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{43}{120}\right)$	$e\left(\frac{59}{120}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{1}{40}\right)$
$\chi_{3366}(61,\cdot)$	3366.db	240	no	$1$	$1$	$e\left(\frac{209}{240}\right)$	$e\left(\frac{7}{240}\right)$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{13}{40}\right)$	$e\left(\frac{7}{48}\right)$	$e\left(\frac{89}{120}\right)$	$e\left(\frac{97}{240}\right)$	$e\left(\frac{101}{240}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{79}{80}\right)$
$\chi_{3366}(65,\cdot)$	3366.cl	48	no	$-1$	$1$	$e\left(\frac{31}{48}\right)$	$e\left(\frac{17}{48}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{13}{48}\right)$	$e\left(\frac{7}{24}\right)$	$e\left(\frac{47}{48}\right)$	$e\left(\frac{19}{48}\right)$	$1$	$e\left(\frac{9}{16}\right)$
$\chi_{3366}(67,\cdot)$	3366.t	6	no	$1$	$1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$	$1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{6}\right)$	$1$	$-1$
$\chi_{3366}(71,\cdot)$	3366.ct	80	no	$1$	$1$	$e\left(\frac{33}{80}\right)$	$e\left(\frac{39}{80}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{3}{40}\right)$	$e\left(\frac{7}{16}\right)$	$e\left(\frac{33}{40}\right)$	$e\left(\frac{9}{80}\right)$	$e\left(\frac{77}{80}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{69}{80}\right)$
$\chi_{3366}(73,\cdot)$	3366.cs	80	no	$1$	$1$	$e\left(\frac{29}{80}\right)$	$e\left(\frac{27}{80}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{19}{40}\right)$	$e\left(\frac{11}{16}\right)$	$e\left(\frac{29}{40}\right)$	$e\left(\frac{77}{80}\right)$	$e\left(\frac{1}{80}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{57}{80}\right)$
$\chi_{3366}(79,\cdot)$	3366.db	240	no	$1$	$1$	$e\left(\frac{221}{240}\right)$	$e\left(\frac{43}{240}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{17}{40}\right)$	$e\left(\frac{43}{48}\right)$	$e\left(\frac{101}{120}\right)$	$e\left(\frac{13}{240}\right)$	$e\left(\frac{209}{240}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{51}{80}\right)$
$\chi_{3366}(83,\cdot)$	3366.cw	120	no	$1$	$1$	$e\left(\frac{37}{120}\right)$	$e\left(\frac{11}{120}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{11}{24}\right)$	$e\left(\frac{37}{60}\right)$	$e\left(\frac{41}{120}\right)$	$e\left(\frac{13}{120}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{7}{40}\right)$
$\chi_{3366}(89,\cdot)$	3366.l	4	no	$-1$	$1$	$i$	$i$	$1$	$-1$	$-i$	$-1$	$i$	$-i$	$-1$	$-i$
$\chi_{3366}(91,\cdot)$	3366.cq	80	no	$-1$	$1$	$e\left(\frac{71}{80}\right)$	$e\left(\frac{73}{80}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{21}{40}\right)$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{31}{40}\right)$	$e\left(\frac{63}{80}\right)$	$e\left(\frac{19}{80}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{43}{80}\right)$
$\chi_{3366}(95,\cdot)$	3366.cy	240	no	$-1$	$1$	$e\left(\frac{217}{240}\right)$	$e\left(\frac{71}{240}\right)$	$e\left(\frac{7}{60}\right)$	$e\left(\frac{29}{40}\right)$	$e\left(\frac{47}{48}\right)$	$e\left(\frac{97}{120}\right)$	$e\left(\frac{41}{240}\right)$	$e\left(\frac{133}{240}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{47}{80}\right)$
$\chi_{3366}(97,\cdot)$	3366.cz	240	no	$-1$	$1$	$e\left(\frac{191}{240}\right)$	$e\left(\frac{193}{240}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{7}{40}\right)$	$e\left(\frac{25}{48}\right)$	$e\left(\frac{71}{120}\right)$	$e\left(\frac{103}{240}\right)$	$e\left(\frac{59}{240}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{1}{80}\right)$
$\chi_{3366}(101,\cdot)$	3366.cd	30	no	$1$	$1$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{7}{10}\right)$
$\chi_{3366}(103,\cdot)$	3366.bk	15	no	$1$	$1$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{2}{5}\right)$
$\chi_{3366}(107,\cdot)$	3366.cr	80	no	$-1$	$1$	$e\left(\frac{21}{80}\right)$	$e\left(\frac{43}{80}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{11}{40}\right)$	$e\left(\frac{3}{16}\right)$	$e\left(\frac{21}{40}\right)$	$e\left(\frac{53}{80}\right)$	$e\left(\frac{49}{80}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{73}{80}\right)$
$\chi_{3366}(109,\cdot)$	3366.bm	16	no	$1$	$1$	$e\left(\frac{7}{16}\right)$	$e\left(\frac{1}{16}\right)$	$i$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{5}{16}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{7}{16}\right)$	$e\left(\frac{3}{16}\right)$	$-1$	$e\left(\frac{11}{16}\right)$

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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	$3366$
Structure	\(C_{2}\times C_{2}\times C_{240}\)
Order	$960$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(5\)	\(7\)	\(13\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)	\(35\)	\(37\)
\(\chi_{3366}(1,\cdot)\)	3366.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{3366}(5,\cdot)\)	3366.da	240	no	\(1\)	\(1\)	\(e\left(\frac{79}{240}\right)\)	\(e\left(\frac{137}{240}\right)\)	\(e\left(\frac{19}{60}\right)\)	\(e\left(\frac{23}{40}\right)\)	\(e\left(\frac{41}{48}\right)\)	\(e\left(\frac{79}{120}\right)\)	\(e\left(\frac{167}{240}\right)\)	\(e\left(\frac{211}{240}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{9}{80}\right)\)
\(\chi_{3366}(7,\cdot)\)	3366.db	240	no	\(1\)	\(1\)	\(e\left(\frac{137}{240}\right)\)	\(e\left(\frac{31}{240}\right)\)	\(e\left(\frac{47}{60}\right)\)	\(e\left(\frac{29}{40}\right)\)	\(e\left(\frac{31}{48}\right)\)	\(e\left(\frac{17}{120}\right)\)	\(e\left(\frac{121}{240}\right)\)	\(e\left(\frac{173}{240}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{7}{80}\right)\)
\(\chi_{3366}(13,\cdot)\)	3366.cn	60	no	\(-1\)	\(1\)	\(e\left(\frac{19}{60}\right)\)	\(e\left(\frac{47}{60}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{17}{60}\right)\)	\(e\left(\frac{31}{60}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{9}{20}\right)\)
\(\chi_{3366}(19,\cdot)\)	3366.cf	40	no	\(-1\)	\(1\)	\(e\left(\frac{23}{40}\right)\)	\(e\left(\frac{29}{40}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{19}{40}\right)\)	\(e\left(\frac{27}{40}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{19}{40}\right)\)
\(\chi_{3366}(23,\cdot)\)	3366.cj	48	no	\(1\)	\(1\)	\(e\left(\frac{41}{48}\right)\)	\(e\left(\frac{31}{48}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{11}{48}\right)\)	\(e\left(\frac{17}{24}\right)\)	\(e\left(\frac{1}{48}\right)\)	\(e\left(\frac{5}{48}\right)\)	\(-1\)	\(e\left(\frac{15}{16}\right)\)
\(\chi_{3366}(25,\cdot)\)	3366.cu	120	no	\(1\)	\(1\)	\(e\left(\frac{79}{120}\right)\)	\(e\left(\frac{17}{120}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{17}{24}\right)\)	\(e\left(\frac{19}{60}\right)\)	\(e\left(\frac{47}{120}\right)\)	\(e\left(\frac{91}{120}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{9}{40}\right)\)
\(\chi_{3366}(29,\cdot)\)	3366.cy	240	no	\(-1\)	\(1\)	\(e\left(\frac{167}{240}\right)\)	\(e\left(\frac{121}{240}\right)\)	\(e\left(\frac{17}{60}\right)\)	\(e\left(\frac{19}{40}\right)\)	\(e\left(\frac{1}{48}\right)\)	\(e\left(\frac{47}{120}\right)\)	\(e\left(\frac{151}{240}\right)\)	\(e\left(\frac{203}{240}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{17}{80}\right)\)
\(\chi_{3366}(31,\cdot)\)	3366.cz	240	no	\(-1\)	\(1\)	\(e\left(\frac{211}{240}\right)\)	\(e\left(\frac{173}{240}\right)\)	\(e\left(\frac{31}{60}\right)\)	\(e\left(\frac{27}{40}\right)\)	\(e\left(\frac{5}{48}\right)\)	\(e\left(\frac{91}{120}\right)\)	\(e\left(\frac{203}{240}\right)\)	\(e\left(\frac{79}{240}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{61}{80}\right)\)
\(\chi_{3366}(35,\cdot)\)	3366.bf	10	no	\(1\)	\(1\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(-1\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{1}{5}\right)\)
\(\chi_{3366}(37,\cdot)\)	3366.cq	80	no	\(-1\)	\(1\)	\(e\left(\frac{9}{80}\right)\)	\(e\left(\frac{7}{80}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{19}{40}\right)\)	\(e\left(\frac{15}{16}\right)\)	\(e\left(\frac{9}{40}\right)\)	\(e\left(\frac{17}{80}\right)\)	\(e\left(\frac{61}{80}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{37}{80}\right)\)
\(\chi_{3366}(41,\cdot)\)	3366.cy	240	no	\(-1\)	\(1\)	\(e\left(\frac{193}{240}\right)\)	\(e\left(\frac{239}{240}\right)\)	\(e\left(\frac{43}{60}\right)\)	\(e\left(\frac{21}{40}\right)\)	\(e\left(\frac{23}{48}\right)\)	\(e\left(\frac{73}{120}\right)\)	\(e\left(\frac{209}{240}\right)\)	\(e\left(\frac{157}{240}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{23}{80}\right)\)
\(\chi_{3366}(43,\cdot)\)	3366.bt	24	no	\(-1\)	\(1\)	\(e\left(\frac{23}{24}\right)\)	\(e\left(\frac{13}{24}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(i\)	\(e\left(\frac{5}{24}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{19}{24}\right)\)	\(e\left(\frac{11}{24}\right)\)	\(-1\)	\(e\left(\frac{1}{8}\right)\)
\(\chi_{3366}(47,\cdot)\)	3366.cp	60	no	\(-1\)	\(1\)	\(e\left(\frac{17}{60}\right)\)	\(e\left(\frac{1}{60}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{1}{60}\right)\)	\(e\left(\frac{23}{60}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{17}{20}\right)\)
\(\chi_{3366}(49,\cdot)\)	3366.cu	120	no	\(1\)	\(1\)	\(e\left(\frac{17}{120}\right)\)	\(e\left(\frac{31}{120}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{7}{24}\right)\)	\(e\left(\frac{17}{60}\right)\)	\(e\left(\frac{1}{120}\right)\)	\(e\left(\frac{53}{120}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{7}{40}\right)\)
\(\chi_{3366}(53,\cdot)\)	3366.ch	40	no	\(-1\)	\(1\)	\(e\left(\frac{11}{40}\right)\)	\(e\left(\frac{33}{40}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{1}{20}\right)\)	\(e\left(\frac{5}{8}\right)\)	\(e\left(\frac{11}{20}\right)\)	\(e\left(\frac{3}{40}\right)\)	\(e\left(\frac{19}{40}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{3}{40}\right)\)
\(\chi_{3366}(59,\cdot)\)	3366.cv	120	no	\(-1\)	\(1\)	\(e\left(\frac{11}{120}\right)\)	\(e\left(\frac{73}{120}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{7}{20}\right)\)	\(e\left(\frac{13}{24}\right)\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{43}{120}\right)\)	\(e\left(\frac{59}{120}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{1}{40}\right)\)
\(\chi_{3366}(61,\cdot)\)	3366.db	240	no	\(1\)	\(1\)	\(e\left(\frac{209}{240}\right)\)	\(e\left(\frac{7}{240}\right)\)	\(e\left(\frac{59}{60}\right)\)	\(e\left(\frac{13}{40}\right)\)	\(e\left(\frac{7}{48}\right)\)	\(e\left(\frac{89}{120}\right)\)	\(e\left(\frac{97}{240}\right)\)	\(e\left(\frac{101}{240}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{79}{80}\right)\)
\(\chi_{3366}(65,\cdot)\)	3366.cl	48	no	\(-1\)	\(1\)	\(e\left(\frac{31}{48}\right)\)	\(e\left(\frac{17}{48}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{13}{48}\right)\)	\(e\left(\frac{7}{24}\right)\)	\(e\left(\frac{47}{48}\right)\)	\(e\left(\frac{19}{48}\right)\)	\(1\)	\(e\left(\frac{9}{16}\right)\)
\(\chi_{3366}(67,\cdot)\)	3366.t	6	no	\(1\)	\(1\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(1\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(1\)	\(-1\)
\(\chi_{3366}(71,\cdot)\)	3366.ct	80	no	\(1\)	\(1\)	\(e\left(\frac{33}{80}\right)\)	\(e\left(\frac{39}{80}\right)\)	\(e\left(\frac{13}{20}\right)\)	\(e\left(\frac{3}{40}\right)\)	\(e\left(\frac{7}{16}\right)\)	\(e\left(\frac{33}{40}\right)\)	\(e\left(\frac{9}{80}\right)\)	\(e\left(\frac{77}{80}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{69}{80}\right)\)
\(\chi_{3366}(73,\cdot)\)	3366.cs	80	no	\(1\)	\(1\)	\(e\left(\frac{29}{80}\right)\)	\(e\left(\frac{27}{80}\right)\)	\(e\left(\frac{19}{20}\right)\)	\(e\left(\frac{19}{40}\right)\)	\(e\left(\frac{11}{16}\right)\)	\(e\left(\frac{29}{40}\right)\)	\(e\left(\frac{77}{80}\right)\)	\(e\left(\frac{1}{80}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{57}{80}\right)\)
\(\chi_{3366}(79,\cdot)\)	3366.db	240	no	\(1\)	\(1\)	\(e\left(\frac{221}{240}\right)\)	\(e\left(\frac{43}{240}\right)\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{17}{40}\right)\)	\(e\left(\frac{43}{48}\right)\)	\(e\left(\frac{101}{120}\right)\)	\(e\left(\frac{13}{240}\right)\)	\(e\left(\frac{209}{240}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{51}{80}\right)\)
\(\chi_{3366}(83,\cdot)\)	3366.cw	120	no	\(1\)	\(1\)	\(e\left(\frac{37}{120}\right)\)	\(e\left(\frac{11}{120}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{19}{20}\right)\)	\(e\left(\frac{11}{24}\right)\)	\(e\left(\frac{37}{60}\right)\)	\(e\left(\frac{41}{120}\right)\)	\(e\left(\frac{13}{120}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{7}{40}\right)\)
\(\chi_{3366}(89,\cdot)\)	3366.l	4	no	\(-1\)	\(1\)	\(i\)	\(i\)	\(1\)	\(-1\)	\(-i\)	\(-1\)	\(i\)	\(-i\)	\(-1\)	\(-i\)
\(\chi_{3366}(91,\cdot)\)	3366.cq	80	no	\(-1\)	\(1\)	\(e\left(\frac{71}{80}\right)\)	\(e\left(\frac{73}{80}\right)\)	\(e\left(\frac{11}{20}\right)\)	\(e\left(\frac{21}{40}\right)\)	\(e\left(\frac{1}{16}\right)\)	\(e\left(\frac{31}{40}\right)\)	\(e\left(\frac{63}{80}\right)\)	\(e\left(\frac{19}{80}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{43}{80}\right)\)
\(\chi_{3366}(95,\cdot)\)	3366.cy	240	no	\(-1\)	\(1\)	\(e\left(\frac{217}{240}\right)\)	\(e\left(\frac{71}{240}\right)\)	\(e\left(\frac{7}{60}\right)\)	\(e\left(\frac{29}{40}\right)\)	\(e\left(\frac{47}{48}\right)\)	\(e\left(\frac{97}{120}\right)\)	\(e\left(\frac{41}{240}\right)\)	\(e\left(\frac{133}{240}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{47}{80}\right)\)
\(\chi_{3366}(97,\cdot)\)	3366.cz	240	no	\(-1\)	\(1\)	\(e\left(\frac{191}{240}\right)\)	\(e\left(\frac{193}{240}\right)\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{7}{40}\right)\)	\(e\left(\frac{25}{48}\right)\)	\(e\left(\frac{71}{120}\right)\)	\(e\left(\frac{103}{240}\right)\)	\(e\left(\frac{59}{240}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{1}{80}\right)\)
\(\chi_{3366}(101,\cdot)\)	3366.cd	30	no	\(1\)	\(1\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{7}{10}\right)\)
\(\chi_{3366}(103,\cdot)\)	3366.bk	15	no	\(1\)	\(1\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{2}{5}\right)\)
\(\chi_{3366}(107,\cdot)\)	3366.cr	80	no	\(-1\)	\(1\)	\(e\left(\frac{21}{80}\right)\)	\(e\left(\frac{43}{80}\right)\)	\(e\left(\frac{11}{20}\right)\)	\(e\left(\frac{11}{40}\right)\)	\(e\left(\frac{3}{16}\right)\)	\(e\left(\frac{21}{40}\right)\)	\(e\left(\frac{53}{80}\right)\)	\(e\left(\frac{49}{80}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{73}{80}\right)\)
\(\chi_{3366}(109,\cdot)\)	3366.bm	16	no	\(1\)	\(1\)	\(e\left(\frac{7}{16}\right)\)	\(e\left(\frac{1}{16}\right)\)	\(i\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{5}{16}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{7}{16}\right)\)	\(e\left(\frac{3}{16}\right)\)	\(-1\)	\(e\left(\frac{11}{16}\right)\)

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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.