LMFDB - Group of Dirichlet characters of modulus 6008

Show commands: PariGP / SageMath

sage: H = DirichletGroup(6008)

pari: g = idealstar(,6008,2)

Character group

sage: G.order() pari: g.no
Order	=	3000
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{750}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{6008}(1503,\cdot)$, $\chi_{6008}(3005,\cdot)$, $\chi_{6008}(1505,\cdot)$

First 32 of 3000 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	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$19$	$21$
$\chi_{6008}(1,\cdot)$	6008.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{6008}(3,\cdot)$	6008.cj	750	yes	$1$	$1$	$e\left(\frac{1}{750}\right)$	$e\left(\frac{361}{750}\right)$	$e\left(\frac{46}{125}\right)$	$e\left(\frac{1}{375}\right)$	$e\left(\frac{143}{150}\right)$	$e\left(\frac{133}{750}\right)$	$e\left(\frac{181}{375}\right)$	$e\left(\frac{329}{750}\right)$	$e\left(\frac{134}{375}\right)$	$e\left(\frac{277}{750}\right)$
$\chi_{6008}(5,\cdot)$	6008.ch	750	yes	$1$	$1$	$e\left(\frac{361}{750}\right)$	$e\left(\frac{571}{750}\right)$	$e\left(\frac{106}{125}\right)$	$e\left(\frac{361}{375}\right)$	$e\left(\frac{23}{150}\right)$	$e\left(\frac{13}{750}\right)$	$e\left(\frac{91}{375}\right)$	$e\left(\frac{322}{375}\right)$	$e\left(\frac{373}{750}\right)$	$e\left(\frac{247}{750}\right)$
$\chi_{6008}(7,\cdot)$	6008.bz	250	no	$1$	$1$	$e\left(\frac{46}{125}\right)$	$e\left(\frac{106}{125}\right)$	$e\left(\frac{71}{125}\right)$	$e\left(\frac{92}{125}\right)$	$e\left(\frac{3}{25}\right)$	$e\left(\frac{118}{125}\right)$	$e\left(\frac{27}{125}\right)$	$e\left(\frac{143}{250}\right)$	$e\left(\frac{31}{250}\right)$	$e\left(\frac{117}{125}\right)$
$\chi_{6008}(9,\cdot)$	6008.ce	375	no	$1$	$1$	$e\left(\frac{1}{375}\right)$	$e\left(\frac{361}{375}\right)$	$e\left(\frac{92}{125}\right)$	$e\left(\frac{2}{375}\right)$	$e\left(\frac{68}{75}\right)$	$e\left(\frac{133}{375}\right)$	$e\left(\frac{362}{375}\right)$	$e\left(\frac{329}{375}\right)$	$e\left(\frac{268}{375}\right)$	$e\left(\frac{277}{375}\right)$
$\chi_{6008}(11,\cdot)$	6008.bt	150	yes	$1$	$1$	$e\left(\frac{143}{150}\right)$	$e\left(\frac{23}{150}\right)$	$e\left(\frac{3}{25}\right)$	$e\left(\frac{68}{75}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{119}{150}\right)$	$e\left(\frac{8}{75}\right)$	$e\left(\frac{97}{150}\right)$	$e\left(\frac{37}{75}\right)$	$e\left(\frac{11}{150}\right)$
$\chi_{6008}(13,\cdot)$	6008.ch	750	yes	$1$	$1$	$e\left(\frac{133}{750}\right)$	$e\left(\frac{13}{750}\right)$	$e\left(\frac{118}{125}\right)$	$e\left(\frac{133}{375}\right)$	$e\left(\frac{119}{150}\right)$	$e\left(\frac{439}{750}\right)$	$e\left(\frac{73}{375}\right)$	$e\left(\frac{316}{375}\right)$	$e\left(\frac{19}{750}\right)$	$e\left(\frac{91}{750}\right)$
$\chi_{6008}(15,\cdot)$	6008.ci	750	no	$1$	$1$	$e\left(\frac{181}{375}\right)$	$e\left(\frac{91}{375}\right)$	$e\left(\frac{27}{125}\right)$	$e\left(\frac{362}{375}\right)$	$e\left(\frac{8}{75}\right)$	$e\left(\frac{73}{375}\right)$	$e\left(\frac{272}{375}\right)$	$e\left(\frac{223}{750}\right)$	$e\left(\frac{641}{750}\right)$	$e\left(\frac{262}{375}\right)$
$\chi_{6008}(17,\cdot)$	6008.cl	750	no	$-1$	$1$	$e\left(\frac{329}{750}\right)$	$e\left(\frac{322}{375}\right)$	$e\left(\frac{143}{250}\right)$	$e\left(\frac{329}{375}\right)$	$e\left(\frac{97}{150}\right)$	$e\left(\frac{316}{375}\right)$	$e\left(\frac{223}{750}\right)$	$e\left(\frac{241}{750}\right)$	$e\left(\frac{211}{375}\right)$	$e\left(\frac{4}{375}\right)$
$\chi_{6008}(19,\cdot)$	6008.cf	750	yes	$-1$	$1$	$e\left(\frac{134}{375}\right)$	$e\left(\frac{373}{750}\right)$	$e\left(\frac{31}{250}\right)$	$e\left(\frac{268}{375}\right)$	$e\left(\frac{37}{75}\right)$	$e\left(\frac{19}{750}\right)$	$e\left(\frac{641}{750}\right)$	$e\left(\frac{211}{375}\right)$	$e\left(\frac{287}{375}\right)$	$e\left(\frac{361}{750}\right)$
$\chi_{6008}(21,\cdot)$	6008.ch	750	yes	$1$	$1$	$e\left(\frac{277}{750}\right)$	$e\left(\frac{247}{750}\right)$	$e\left(\frac{117}{125}\right)$	$e\left(\frac{277}{375}\right)$	$e\left(\frac{11}{150}\right)$	$e\left(\frac{91}{750}\right)$	$e\left(\frac{262}{375}\right)$	$e\left(\frac{4}{375}\right)$	$e\left(\frac{361}{750}\right)$	$e\left(\frac{229}{750}\right)$
$\chi_{6008}(23,\cdot)$	6008.cg	750	no	$-1$	$1$	$e\left(\frac{157}{750}\right)$	$e\left(\frac{26}{375}\right)$	$e\left(\frac{69}{250}\right)$	$e\left(\frac{157}{375}\right)$	$e\left(\frac{101}{150}\right)$	$e\left(\frac{128}{375}\right)$	$e\left(\frac{209}{750}\right)$	$e\left(\frac{139}{375}\right)$	$e\left(\frac{451}{750}\right)$	$e\left(\frac{182}{375}\right)$
$\chi_{6008}(25,\cdot)$	6008.ce	375	no	$1$	$1$	$e\left(\frac{361}{375}\right)$	$e\left(\frac{196}{375}\right)$	$e\left(\frac{87}{125}\right)$	$e\left(\frac{347}{375}\right)$	$e\left(\frac{23}{75}\right)$	$e\left(\frac{13}{375}\right)$	$e\left(\frac{182}{375}\right)$	$e\left(\frac{269}{375}\right)$	$e\left(\frac{373}{375}\right)$	$e\left(\frac{247}{375}\right)$
$\chi_{6008}(27,\cdot)$	6008.ca	250	yes	$1$	$1$	$e\left(\frac{1}{250}\right)$	$e\left(\frac{111}{250}\right)$	$e\left(\frac{13}{125}\right)$	$e\left(\frac{1}{125}\right)$	$e\left(\frac{43}{50}\right)$	$e\left(\frac{133}{250}\right)$	$e\left(\frac{56}{125}\right)$	$e\left(\frac{79}{250}\right)$	$e\left(\frac{9}{125}\right)$	$e\left(\frac{27}{250}\right)$
$\chi_{6008}(29,\cdot)$	6008.ck	750	yes	$-1$	$1$	$e\left(\frac{101}{375}\right)$	$e\left(\frac{547}{750}\right)$	$e\left(\frac{209}{250}\right)$	$e\left(\frac{202}{375}\right)$	$e\left(\frac{43}{75}\right)$	$e\left(\frac{241}{750}\right)$	$e\left(\frac{749}{750}\right)$	$e\left(\frac{83}{750}\right)$	$e\left(\frac{511}{750}\right)$	$e\left(\frac{79}{750}\right)$
$\chi_{6008}(31,\cdot)$	6008.ci	750	no	$1$	$1$	$e\left(\frac{76}{375}\right)$	$e\left(\frac{61}{375}\right)$	$e\left(\frac{117}{125}\right)$	$e\left(\frac{152}{375}\right)$	$e\left(\frac{68}{75}\right)$	$e\left(\frac{358}{375}\right)$	$e\left(\frac{137}{375}\right)$	$e\left(\frac{133}{750}\right)$	$e\left(\frac{611}{750}\right)$	$e\left(\frac{52}{375}\right)$
$\chi_{6008}(33,\cdot)$	6008.ce	375	no	$1$	$1$	$e\left(\frac{358}{375}\right)$	$e\left(\frac{238}{375}\right)$	$e\left(\frac{61}{125}\right)$	$e\left(\frac{341}{375}\right)$	$e\left(\frac{44}{75}\right)$	$e\left(\frac{364}{375}\right)$	$e\left(\frac{221}{375}\right)$	$e\left(\frac{32}{375}\right)$	$e\left(\frac{319}{375}\right)$	$e\left(\frac{166}{375}\right)$
$\chi_{6008}(35,\cdot)$	6008.cj	750	yes	$1$	$1$	$e\left(\frac{637}{750}\right)$	$e\left(\frac{457}{750}\right)$	$e\left(\frac{52}{125}\right)$	$e\left(\frac{262}{375}\right)$	$e\left(\frac{41}{150}\right)$	$e\left(\frac{721}{750}\right)$	$e\left(\frac{172}{375}\right)$	$e\left(\frac{323}{750}\right)$	$e\left(\frac{233}{375}\right)$	$e\left(\frac{199}{750}\right)$
$\chi_{6008}(37,\cdot)$	6008.ch	750	yes	$1$	$1$	$e\left(\frac{647}{750}\right)$	$e\left(\frac{317}{750}\right)$	$e\left(\frac{12}{125}\right)$	$e\left(\frac{272}{375}\right)$	$e\left(\frac{121}{150}\right)$	$e\left(\frac{551}{750}\right)$	$e\left(\frac{107}{375}\right)$	$e\left(\frac{119}{375}\right)$	$e\left(\frac{521}{750}\right)$	$e\left(\frac{719}{750}\right)$
$\chi_{6008}(39,\cdot)$	6008.ci	750	no	$1$	$1$	$e\left(\frac{67}{375}\right)$	$e\left(\frac{187}{375}\right)$	$e\left(\frac{39}{125}\right)$	$e\left(\frac{134}{375}\right)$	$e\left(\frac{56}{75}\right)$	$e\left(\frac{286}{375}\right)$	$e\left(\frac{254}{375}\right)$	$e\left(\frac{211}{750}\right)$	$e\left(\frac{287}{750}\right)$	$e\left(\frac{184}{375}\right)$
$\chi_{6008}(41,\cdot)$	6008.bm	50	no	$-1$	$1$	$e\left(\frac{31}{50}\right)$	$e\left(\frac{8}{25}\right)$	$e\left(\frac{31}{50}\right)$	$e\left(\frac{6}{25}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{24}{25}\right)$	$e\left(\frac{47}{50}\right)$	$e\left(\frac{49}{50}\right)$	$e\left(\frac{4}{25}\right)$	$e\left(\frac{6}{25}\right)$
$\chi_{6008}(43,\cdot)$	6008.cc	250	yes	$-1$	$1$	$e\left(\frac{19}{125}\right)$	$e\left(\frac{93}{250}\right)$	$e\left(\frac{113}{250}\right)$	$e\left(\frac{38}{125}\right)$	$e\left(\frac{17}{25}\right)$	$e\left(\frac{179}{250}\right)$	$e\left(\frac{131}{250}\right)$	$e\left(\frac{1}{125}\right)$	$e\left(\frac{92}{125}\right)$	$e\left(\frac{151}{250}\right)$
$\chi_{6008}(45,\cdot)$	6008.cb	250	yes	$1$	$1$	$e\left(\frac{121}{250}\right)$	$e\left(\frac{181}{250}\right)$	$e\left(\frac{73}{125}\right)$	$e\left(\frac{121}{125}\right)$	$e\left(\frac{3}{50}\right)$	$e\left(\frac{93}{250}\right)$	$e\left(\frac{26}{125}\right)$	$e\left(\frac{92}{125}\right)$	$e\left(\frac{53}{250}\right)$	$e\left(\frac{17}{250}\right)$
$\chi_{6008}(47,\cdot)$	6008.cg	750	no	$-1$	$1$	$e\left(\frac{211}{750}\right)$	$e\left(\frac{23}{375}\right)$	$e\left(\frac{37}{250}\right)$	$e\left(\frac{211}{375}\right)$	$e\left(\frac{23}{150}\right)$	$e\left(\frac{344}{375}\right)$	$e\left(\frac{257}{750}\right)$	$e\left(\frac{22}{375}\right)$	$e\left(\frac{673}{750}\right)$	$e\left(\frac{161}{375}\right)$
$\chi_{6008}(49,\cdot)$	6008.bp	125	no	$1$	$1$	$e\left(\frac{92}{125}\right)$	$e\left(\frac{87}{125}\right)$	$e\left(\frac{17}{125}\right)$	$e\left(\frac{59}{125}\right)$	$e\left(\frac{6}{25}\right)$	$e\left(\frac{111}{125}\right)$	$e\left(\frac{54}{125}\right)$	$e\left(\frac{18}{125}\right)$	$e\left(\frac{31}{125}\right)$	$e\left(\frac{109}{125}\right)$
$\chi_{6008}(51,\cdot)$	6008.bh	50	yes	$-1$	$1$	$e\left(\frac{11}{25}\right)$	$e\left(\frac{17}{50}\right)$	$e\left(\frac{47}{50}\right)$	$e\left(\frac{22}{25}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{1}{50}\right)$	$e\left(\frac{39}{50}\right)$	$e\left(\frac{19}{25}\right)$	$e\left(\frac{23}{25}\right)$	$e\left(\frac{19}{50}\right)$
$\chi_{6008}(53,\cdot)$	6008.bl	50	yes	$1$	$1$	$e\left(\frac{29}{50}\right)$	$e\left(\frac{19}{50}\right)$	$e\left(\frac{2}{25}\right)$	$e\left(\frac{4}{25}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{7}{50}\right)$	$e\left(\frac{24}{25}\right)$	$e\left(\frac{8}{25}\right)$	$e\left(\frac{47}{50}\right)$	$e\left(\frac{33}{50}\right)$
$\chi_{6008}(55,\cdot)$	6008.ci	750	no	$1$	$1$	$e\left(\frac{163}{375}\right)$	$e\left(\frac{343}{375}\right)$	$e\left(\frac{121}{125}\right)$	$e\left(\frac{326}{375}\right)$	$e\left(\frac{59}{75}\right)$	$e\left(\frac{304}{375}\right)$	$e\left(\frac{131}{375}\right)$	$e\left(\frac{379}{750}\right)$	$e\left(\frac{743}{750}\right)$	$e\left(\frac{151}{375}\right)$
$\chi_{6008}(57,\cdot)$	6008.cl	750	no	$-1$	$1$	$e\left(\frac{269}{750}\right)$	$e\left(\frac{367}{375}\right)$	$e\left(\frac{123}{250}\right)$	$e\left(\frac{269}{375}\right)$	$e\left(\frac{67}{150}\right)$	$e\left(\frac{76}{375}\right)$	$e\left(\frac{253}{750}\right)$	$e\left(\frac{1}{750}\right)$	$e\left(\frac{46}{375}\right)$	$e\left(\frac{319}{375}\right)$
$\chi_{6008}(59,\cdot)$	6008.cf	750	yes	$-1$	$1$	$e\left(\frac{203}{375}\right)$	$e\left(\frac{691}{750}\right)$	$e\left(\frac{227}{250}\right)$	$e\left(\frac{31}{375}\right)$	$e\left(\frac{4}{75}\right)$	$e\left(\frac{373}{750}\right)$	$e\left(\frac{347}{750}\right)$	$e\left(\frac{37}{375}\right)$	$e\left(\frac{29}{375}\right)$	$e\left(\frac{337}{750}\right)$
$\chi_{6008}(61,\cdot)$	6008.br	150	yes	$1$	$1$	$e\left(\frac{37}{150}\right)$	$e\left(\frac{7}{150}\right)$	$e\left(\frac{2}{25}\right)$	$e\left(\frac{37}{75}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{121}{150}\right)$	$e\left(\frac{22}{75}\right)$	$e\left(\frac{49}{75}\right)$	$e\left(\frac{91}{150}\right)$	$e\left(\frac{49}{150}\right)$
$\chi_{6008}(63,\cdot)$	6008.ci	750	no	$1$	$1$	$e\left(\frac{139}{375}\right)$	$e\left(\frac{304}{375}\right)$	$e\left(\frac{38}{125}\right)$	$e\left(\frac{278}{375}\right)$	$e\left(\frac{2}{75}\right)$	$e\left(\frac{112}{375}\right)$	$e\left(\frac{68}{375}\right)$	$e\left(\frac{337}{750}\right)$	$e\left(\frac{629}{750}\right)$	$e\left(\frac{253}{375}\right)$

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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	$6008$
Structure	\(C_{2}\times C_{2}\times C_{750}\)
Order	$3000$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(19\)	\(21\)
\(\chi_{6008}(1,\cdot)\)	6008.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{6008}(3,\cdot)\)	6008.cj	750	yes	\(1\)	\(1\)	\(e\left(\frac{1}{750}\right)\)	\(e\left(\frac{361}{750}\right)\)	\(e\left(\frac{46}{125}\right)\)	\(e\left(\frac{1}{375}\right)\)	\(e\left(\frac{143}{150}\right)\)	\(e\left(\frac{133}{750}\right)\)	\(e\left(\frac{181}{375}\right)\)	\(e\left(\frac{329}{750}\right)\)	\(e\left(\frac{134}{375}\right)\)	\(e\left(\frac{277}{750}\right)\)
\(\chi_{6008}(5,\cdot)\)	6008.ch	750	yes	\(1\)	\(1\)	\(e\left(\frac{361}{750}\right)\)	\(e\left(\frac{571}{750}\right)\)	\(e\left(\frac{106}{125}\right)\)	\(e\left(\frac{361}{375}\right)\)	\(e\left(\frac{23}{150}\right)\)	\(e\left(\frac{13}{750}\right)\)	\(e\left(\frac{91}{375}\right)\)	\(e\left(\frac{322}{375}\right)\)	\(e\left(\frac{373}{750}\right)\)	\(e\left(\frac{247}{750}\right)\)
\(\chi_{6008}(7,\cdot)\)	6008.bz	250	no	\(1\)	\(1\)	\(e\left(\frac{46}{125}\right)\)	\(e\left(\frac{106}{125}\right)\)	\(e\left(\frac{71}{125}\right)\)	\(e\left(\frac{92}{125}\right)\)	\(e\left(\frac{3}{25}\right)\)	\(e\left(\frac{118}{125}\right)\)	\(e\left(\frac{27}{125}\right)\)	\(e\left(\frac{143}{250}\right)\)	\(e\left(\frac{31}{250}\right)\)	\(e\left(\frac{117}{125}\right)\)
\(\chi_{6008}(9,\cdot)\)	6008.ce	375	no	\(1\)	\(1\)	\(e\left(\frac{1}{375}\right)\)	\(e\left(\frac{361}{375}\right)\)	\(e\left(\frac{92}{125}\right)\)	\(e\left(\frac{2}{375}\right)\)	\(e\left(\frac{68}{75}\right)\)	\(e\left(\frac{133}{375}\right)\)	\(e\left(\frac{362}{375}\right)\)	\(e\left(\frac{329}{375}\right)\)	\(e\left(\frac{268}{375}\right)\)	\(e\left(\frac{277}{375}\right)\)
\(\chi_{6008}(11,\cdot)\)	6008.bt	150	yes	\(1\)	\(1\)	\(e\left(\frac{143}{150}\right)\)	\(e\left(\frac{23}{150}\right)\)	\(e\left(\frac{3}{25}\right)\)	\(e\left(\frac{68}{75}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{119}{150}\right)\)	\(e\left(\frac{8}{75}\right)\)	\(e\left(\frac{97}{150}\right)\)	\(e\left(\frac{37}{75}\right)\)	\(e\left(\frac{11}{150}\right)\)
\(\chi_{6008}(13,\cdot)\)	6008.ch	750	yes	\(1\)	\(1\)	\(e\left(\frac{133}{750}\right)\)	\(e\left(\frac{13}{750}\right)\)	\(e\left(\frac{118}{125}\right)\)	\(e\left(\frac{133}{375}\right)\)	\(e\left(\frac{119}{150}\right)\)	\(e\left(\frac{439}{750}\right)\)	\(e\left(\frac{73}{375}\right)\)	\(e\left(\frac{316}{375}\right)\)	\(e\left(\frac{19}{750}\right)\)	\(e\left(\frac{91}{750}\right)\)
\(\chi_{6008}(15,\cdot)\)	6008.ci	750	no	\(1\)	\(1\)	\(e\left(\frac{181}{375}\right)\)	\(e\left(\frac{91}{375}\right)\)	\(e\left(\frac{27}{125}\right)\)	\(e\left(\frac{362}{375}\right)\)	\(e\left(\frac{8}{75}\right)\)	\(e\left(\frac{73}{375}\right)\)	\(e\left(\frac{272}{375}\right)\)	\(e\left(\frac{223}{750}\right)\)	\(e\left(\frac{641}{750}\right)\)	\(e\left(\frac{262}{375}\right)\)
\(\chi_{6008}(17,\cdot)\)	6008.cl	750	no	\(-1\)	\(1\)	\(e\left(\frac{329}{750}\right)\)	\(e\left(\frac{322}{375}\right)\)	\(e\left(\frac{143}{250}\right)\)	\(e\left(\frac{329}{375}\right)\)	\(e\left(\frac{97}{150}\right)\)	\(e\left(\frac{316}{375}\right)\)	\(e\left(\frac{223}{750}\right)\)	\(e\left(\frac{241}{750}\right)\)	\(e\left(\frac{211}{375}\right)\)	\(e\left(\frac{4}{375}\right)\)
\(\chi_{6008}(19,\cdot)\)	6008.cf	750	yes	\(-1\)	\(1\)	\(e\left(\frac{134}{375}\right)\)	\(e\left(\frac{373}{750}\right)\)	\(e\left(\frac{31}{250}\right)\)	\(e\left(\frac{268}{375}\right)\)	\(e\left(\frac{37}{75}\right)\)	\(e\left(\frac{19}{750}\right)\)	\(e\left(\frac{641}{750}\right)\)	\(e\left(\frac{211}{375}\right)\)	\(e\left(\frac{287}{375}\right)\)	\(e\left(\frac{361}{750}\right)\)
\(\chi_{6008}(21,\cdot)\)	6008.ch	750	yes	\(1\)	\(1\)	\(e\left(\frac{277}{750}\right)\)	\(e\left(\frac{247}{750}\right)\)	\(e\left(\frac{117}{125}\right)\)	\(e\left(\frac{277}{375}\right)\)	\(e\left(\frac{11}{150}\right)\)	\(e\left(\frac{91}{750}\right)\)	\(e\left(\frac{262}{375}\right)\)	\(e\left(\frac{4}{375}\right)\)	\(e\left(\frac{361}{750}\right)\)	\(e\left(\frac{229}{750}\right)\)
\(\chi_{6008}(23,\cdot)\)	6008.cg	750	no	\(-1\)	\(1\)	\(e\left(\frac{157}{750}\right)\)	\(e\left(\frac{26}{375}\right)\)	\(e\left(\frac{69}{250}\right)\)	\(e\left(\frac{157}{375}\right)\)	\(e\left(\frac{101}{150}\right)\)	\(e\left(\frac{128}{375}\right)\)	\(e\left(\frac{209}{750}\right)\)	\(e\left(\frac{139}{375}\right)\)	\(e\left(\frac{451}{750}\right)\)	\(e\left(\frac{182}{375}\right)\)
\(\chi_{6008}(25,\cdot)\)	6008.ce	375	no	\(1\)	\(1\)	\(e\left(\frac{361}{375}\right)\)	\(e\left(\frac{196}{375}\right)\)	\(e\left(\frac{87}{125}\right)\)	\(e\left(\frac{347}{375}\right)\)	\(e\left(\frac{23}{75}\right)\)	\(e\left(\frac{13}{375}\right)\)	\(e\left(\frac{182}{375}\right)\)	\(e\left(\frac{269}{375}\right)\)	\(e\left(\frac{373}{375}\right)\)	\(e\left(\frac{247}{375}\right)\)
\(\chi_{6008}(27,\cdot)\)	6008.ca	250	yes	\(1\)	\(1\)	\(e\left(\frac{1}{250}\right)\)	\(e\left(\frac{111}{250}\right)\)	\(e\left(\frac{13}{125}\right)\)	\(e\left(\frac{1}{125}\right)\)	\(e\left(\frac{43}{50}\right)\)	\(e\left(\frac{133}{250}\right)\)	\(e\left(\frac{56}{125}\right)\)	\(e\left(\frac{79}{250}\right)\)	\(e\left(\frac{9}{125}\right)\)	\(e\left(\frac{27}{250}\right)\)
\(\chi_{6008}(29,\cdot)\)	6008.ck	750	yes	\(-1\)	\(1\)	\(e\left(\frac{101}{375}\right)\)	\(e\left(\frac{547}{750}\right)\)	\(e\left(\frac{209}{250}\right)\)	\(e\left(\frac{202}{375}\right)\)	\(e\left(\frac{43}{75}\right)\)	\(e\left(\frac{241}{750}\right)\)	\(e\left(\frac{749}{750}\right)\)	\(e\left(\frac{83}{750}\right)\)	\(e\left(\frac{511}{750}\right)\)	\(e\left(\frac{79}{750}\right)\)
\(\chi_{6008}(31,\cdot)\)	6008.ci	750	no	\(1\)	\(1\)	\(e\left(\frac{76}{375}\right)\)	\(e\left(\frac{61}{375}\right)\)	\(e\left(\frac{117}{125}\right)\)	\(e\left(\frac{152}{375}\right)\)	\(e\left(\frac{68}{75}\right)\)	\(e\left(\frac{358}{375}\right)\)	\(e\left(\frac{137}{375}\right)\)	\(e\left(\frac{133}{750}\right)\)	\(e\left(\frac{611}{750}\right)\)	\(e\left(\frac{52}{375}\right)\)
\(\chi_{6008}(33,\cdot)\)	6008.ce	375	no	\(1\)	\(1\)	\(e\left(\frac{358}{375}\right)\)	\(e\left(\frac{238}{375}\right)\)	\(e\left(\frac{61}{125}\right)\)	\(e\left(\frac{341}{375}\right)\)	\(e\left(\frac{44}{75}\right)\)	\(e\left(\frac{364}{375}\right)\)	\(e\left(\frac{221}{375}\right)\)	\(e\left(\frac{32}{375}\right)\)	\(e\left(\frac{319}{375}\right)\)	\(e\left(\frac{166}{375}\right)\)
\(\chi_{6008}(35,\cdot)\)	6008.cj	750	yes	\(1\)	\(1\)	\(e\left(\frac{637}{750}\right)\)	\(e\left(\frac{457}{750}\right)\)	\(e\left(\frac{52}{125}\right)\)	\(e\left(\frac{262}{375}\right)\)	\(e\left(\frac{41}{150}\right)\)	\(e\left(\frac{721}{750}\right)\)	\(e\left(\frac{172}{375}\right)\)	\(e\left(\frac{323}{750}\right)\)	\(e\left(\frac{233}{375}\right)\)	\(e\left(\frac{199}{750}\right)\)
\(\chi_{6008}(37,\cdot)\)	6008.ch	750	yes	\(1\)	\(1\)	\(e\left(\frac{647}{750}\right)\)	\(e\left(\frac{317}{750}\right)\)	\(e\left(\frac{12}{125}\right)\)	\(e\left(\frac{272}{375}\right)\)	\(e\left(\frac{121}{150}\right)\)	\(e\left(\frac{551}{750}\right)\)	\(e\left(\frac{107}{375}\right)\)	\(e\left(\frac{119}{375}\right)\)	\(e\left(\frac{521}{750}\right)\)	\(e\left(\frac{719}{750}\right)\)
\(\chi_{6008}(39,\cdot)\)	6008.ci	750	no	\(1\)	\(1\)	\(e\left(\frac{67}{375}\right)\)	\(e\left(\frac{187}{375}\right)\)	\(e\left(\frac{39}{125}\right)\)	\(e\left(\frac{134}{375}\right)\)	\(e\left(\frac{56}{75}\right)\)	\(e\left(\frac{286}{375}\right)\)	\(e\left(\frac{254}{375}\right)\)	\(e\left(\frac{211}{750}\right)\)	\(e\left(\frac{287}{750}\right)\)	\(e\left(\frac{184}{375}\right)\)
\(\chi_{6008}(41,\cdot)\)	6008.bm	50	no	\(-1\)	\(1\)	\(e\left(\frac{31}{50}\right)\)	\(e\left(\frac{8}{25}\right)\)	\(e\left(\frac{31}{50}\right)\)	\(e\left(\frac{6}{25}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{24}{25}\right)\)	\(e\left(\frac{47}{50}\right)\)	\(e\left(\frac{49}{50}\right)\)	\(e\left(\frac{4}{25}\right)\)	\(e\left(\frac{6}{25}\right)\)
\(\chi_{6008}(43,\cdot)\)	6008.cc	250	yes	\(-1\)	\(1\)	\(e\left(\frac{19}{125}\right)\)	\(e\left(\frac{93}{250}\right)\)	\(e\left(\frac{113}{250}\right)\)	\(e\left(\frac{38}{125}\right)\)	\(e\left(\frac{17}{25}\right)\)	\(e\left(\frac{179}{250}\right)\)	\(e\left(\frac{131}{250}\right)\)	\(e\left(\frac{1}{125}\right)\)	\(e\left(\frac{92}{125}\right)\)	\(e\left(\frac{151}{250}\right)\)
\(\chi_{6008}(45,\cdot)\)	6008.cb	250	yes	\(1\)	\(1\)	\(e\left(\frac{121}{250}\right)\)	\(e\left(\frac{181}{250}\right)\)	\(e\left(\frac{73}{125}\right)\)	\(e\left(\frac{121}{125}\right)\)	\(e\left(\frac{3}{50}\right)\)	\(e\left(\frac{93}{250}\right)\)	\(e\left(\frac{26}{125}\right)\)	\(e\left(\frac{92}{125}\right)\)	\(e\left(\frac{53}{250}\right)\)	\(e\left(\frac{17}{250}\right)\)
\(\chi_{6008}(47,\cdot)\)	6008.cg	750	no	\(-1\)	\(1\)	\(e\left(\frac{211}{750}\right)\)	\(e\left(\frac{23}{375}\right)\)	\(e\left(\frac{37}{250}\right)\)	\(e\left(\frac{211}{375}\right)\)	\(e\left(\frac{23}{150}\right)\)	\(e\left(\frac{344}{375}\right)\)	\(e\left(\frac{257}{750}\right)\)	\(e\left(\frac{22}{375}\right)\)	\(e\left(\frac{673}{750}\right)\)	\(e\left(\frac{161}{375}\right)\)
\(\chi_{6008}(49,\cdot)\)	6008.bp	125	no	\(1\)	\(1\)	\(e\left(\frac{92}{125}\right)\)	\(e\left(\frac{87}{125}\right)\)	\(e\left(\frac{17}{125}\right)\)	\(e\left(\frac{59}{125}\right)\)	\(e\left(\frac{6}{25}\right)\)	\(e\left(\frac{111}{125}\right)\)	\(e\left(\frac{54}{125}\right)\)	\(e\left(\frac{18}{125}\right)\)	\(e\left(\frac{31}{125}\right)\)	\(e\left(\frac{109}{125}\right)\)
\(\chi_{6008}(51,\cdot)\)	6008.bh	50	yes	\(-1\)	\(1\)	\(e\left(\frac{11}{25}\right)\)	\(e\left(\frac{17}{50}\right)\)	\(e\left(\frac{47}{50}\right)\)	\(e\left(\frac{22}{25}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{1}{50}\right)\)	\(e\left(\frac{39}{50}\right)\)	\(e\left(\frac{19}{25}\right)\)	\(e\left(\frac{23}{25}\right)\)	\(e\left(\frac{19}{50}\right)\)
\(\chi_{6008}(53,\cdot)\)	6008.bl	50	yes	\(1\)	\(1\)	\(e\left(\frac{29}{50}\right)\)	\(e\left(\frac{19}{50}\right)\)	\(e\left(\frac{2}{25}\right)\)	\(e\left(\frac{4}{25}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{7}{50}\right)\)	\(e\left(\frac{24}{25}\right)\)	\(e\left(\frac{8}{25}\right)\)	\(e\left(\frac{47}{50}\right)\)	\(e\left(\frac{33}{50}\right)\)
\(\chi_{6008}(55,\cdot)\)	6008.ci	750	no	\(1\)	\(1\)	\(e\left(\frac{163}{375}\right)\)	\(e\left(\frac{343}{375}\right)\)	\(e\left(\frac{121}{125}\right)\)	\(e\left(\frac{326}{375}\right)\)	\(e\left(\frac{59}{75}\right)\)	\(e\left(\frac{304}{375}\right)\)	\(e\left(\frac{131}{375}\right)\)	\(e\left(\frac{379}{750}\right)\)	\(e\left(\frac{743}{750}\right)\)	\(e\left(\frac{151}{375}\right)\)
\(\chi_{6008}(57,\cdot)\)	6008.cl	750	no	\(-1\)	\(1\)	\(e\left(\frac{269}{750}\right)\)	\(e\left(\frac{367}{375}\right)\)	\(e\left(\frac{123}{250}\right)\)	\(e\left(\frac{269}{375}\right)\)	\(e\left(\frac{67}{150}\right)\)	\(e\left(\frac{76}{375}\right)\)	\(e\left(\frac{253}{750}\right)\)	\(e\left(\frac{1}{750}\right)\)	\(e\left(\frac{46}{375}\right)\)	\(e\left(\frac{319}{375}\right)\)
\(\chi_{6008}(59,\cdot)\)	6008.cf	750	yes	\(-1\)	\(1\)	\(e\left(\frac{203}{375}\right)\)	\(e\left(\frac{691}{750}\right)\)	\(e\left(\frac{227}{250}\right)\)	\(e\left(\frac{31}{375}\right)\)	\(e\left(\frac{4}{75}\right)\)	\(e\left(\frac{373}{750}\right)\)	\(e\left(\frac{347}{750}\right)\)	\(e\left(\frac{37}{375}\right)\)	\(e\left(\frac{29}{375}\right)\)	\(e\left(\frac{337}{750}\right)\)
\(\chi_{6008}(61,\cdot)\)	6008.br	150	yes	\(1\)	\(1\)	\(e\left(\frac{37}{150}\right)\)	\(e\left(\frac{7}{150}\right)\)	\(e\left(\frac{2}{25}\right)\)	\(e\left(\frac{37}{75}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{121}{150}\right)\)	\(e\left(\frac{22}{75}\right)\)	\(e\left(\frac{49}{75}\right)\)	\(e\left(\frac{91}{150}\right)\)	\(e\left(\frac{49}{150}\right)\)
\(\chi_{6008}(63,\cdot)\)	6008.ci	750	no	\(1\)	\(1\)	\(e\left(\frac{139}{375}\right)\)	\(e\left(\frac{304}{375}\right)\)	\(e\left(\frac{38}{125}\right)\)	\(e\left(\frac{278}{375}\right)\)	\(e\left(\frac{2}{75}\right)\)	\(e\left(\frac{112}{375}\right)\)	\(e\left(\frac{68}{375}\right)\)	\(e\left(\frac{337}{750}\right)\)	\(e\left(\frac{629}{750}\right)\)	\(e\left(\frac{253}{375}\right)\)

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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.