LMFDB - Group of Dirichlet characters of modulus 6023

Show commands: PariGP / SageMath

sage: H = DirichletGroup(6023)

pari: g = idealstar(,6023,2)

Character group

sage: G.order() pari: g.no
Order	=	5688
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2844}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{6023}(952,\cdot)$, $\chi_{6023}(5074,\cdot)$

First 32 of 5688 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	$-1$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$	$11$
$\chi_{6023}(1,\cdot)$	6023.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{6023}(2,\cdot)$	6023.bi	2844	yes	$1$	$1$	$e\left(\frac{167}{2844}\right)$	$e\left(\frac{1451}{2844}\right)$	$e\left(\frac{167}{1422}\right)$	$e\left(\frac{1871}{2844}\right)$	$e\left(\frac{809}{1422}\right)$	$e\left(\frac{233}{474}\right)$	$e\left(\frac{167}{948}\right)$	$e\left(\frac{29}{1422}\right)$	$e\left(\frac{1019}{1422}\right)$	$e\left(\frac{137}{237}\right)$
$\chi_{6023}(3,\cdot)$	6023.bi	2844	yes	$1$	$1$	$e\left(\frac{1451}{2844}\right)$	$e\left(\frac{1691}{2844}\right)$	$e\left(\frac{29}{1422}\right)$	$e\left(\frac{95}{2844}\right)$	$e\left(\frac{149}{1422}\right)$	$e\left(\frac{347}{474}\right)$	$e\left(\frac{503}{948}\right)$	$e\left(\frac{269}{1422}\right)$	$e\left(\frac{773}{1422}\right)$	$e\left(\frac{143}{237}\right)$
$\chi_{6023}(4,\cdot)$	6023.bg	1422	yes	$1$	$1$	$e\left(\frac{167}{1422}\right)$	$e\left(\frac{29}{1422}\right)$	$e\left(\frac{167}{711}\right)$	$e\left(\frac{449}{1422}\right)$	$e\left(\frac{98}{711}\right)$	$e\left(\frac{233}{237}\right)$	$e\left(\frac{167}{474}\right)$	$e\left(\frac{29}{711}\right)$	$e\left(\frac{308}{711}\right)$	$e\left(\frac{37}{237}\right)$
$\chi_{6023}(5,\cdot)$	6023.bj	2844	yes	$-1$	$1$	$e\left(\frac{1871}{2844}\right)$	$e\left(\frac{95}{2844}\right)$	$e\left(\frac{449}{1422}\right)$	$e\left(\frac{245}{2844}\right)$	$e\left(\frac{983}{1422}\right)$	$e\left(\frac{371}{474}\right)$	$e\left(\frac{923}{948}\right)$	$e\left(\frac{95}{1422}\right)$	$e\left(\frac{529}{711}\right)$	$e\left(\frac{32}{237}\right)$
$\chi_{6023}(6,\cdot)$	6023.bg	1422	yes	$1$	$1$	$e\left(\frac{809}{1422}\right)$	$e\left(\frac{149}{1422}\right)$	$e\left(\frac{98}{711}\right)$	$e\left(\frac{983}{1422}\right)$	$e\left(\frac{479}{711}\right)$	$e\left(\frac{53}{237}\right)$	$e\left(\frac{335}{474}\right)$	$e\left(\frac{149}{711}\right)$	$e\left(\frac{185}{711}\right)$	$e\left(\frac{43}{237}\right)$
$\chi_{6023}(7,\cdot)$	6023.z	474	yes	$1$	$1$	$e\left(\frac{233}{474}\right)$	$e\left(\frac{347}{474}\right)$	$e\left(\frac{233}{237}\right)$	$e\left(\frac{371}{474}\right)$	$e\left(\frac{53}{237}\right)$	$e\left(\frac{72}{79}\right)$	$e\left(\frac{75}{158}\right)$	$e\left(\frac{110}{237}\right)$	$e\left(\frac{65}{237}\right)$	$e\left(\frac{45}{79}\right)$
$\chi_{6023}(8,\cdot)$	6023.bd	948	yes	$1$	$1$	$e\left(\frac{167}{948}\right)$	$e\left(\frac{503}{948}\right)$	$e\left(\frac{167}{474}\right)$	$e\left(\frac{923}{948}\right)$	$e\left(\frac{335}{474}\right)$	$e\left(\frac{75}{158}\right)$	$e\left(\frac{167}{316}\right)$	$e\left(\frac{29}{474}\right)$	$e\left(\frac{71}{474}\right)$	$e\left(\frac{58}{79}\right)$
$\chi_{6023}(9,\cdot)$	6023.bg	1422	yes	$1$	$1$	$e\left(\frac{29}{1422}\right)$	$e\left(\frac{269}{1422}\right)$	$e\left(\frac{29}{711}\right)$	$e\left(\frac{95}{1422}\right)$	$e\left(\frac{149}{711}\right)$	$e\left(\frac{110}{237}\right)$	$e\left(\frac{29}{474}\right)$	$e\left(\frac{269}{711}\right)$	$e\left(\frac{62}{711}\right)$	$e\left(\frac{49}{237}\right)$
$\chi_{6023}(10,\cdot)$	6023.bf	1422	yes	$-1$	$1$	$e\left(\frac{1019}{1422}\right)$	$e\left(\frac{773}{1422}\right)$	$e\left(\frac{308}{711}\right)$	$e\left(\frac{529}{711}\right)$	$e\left(\frac{185}{711}\right)$	$e\left(\frac{65}{237}\right)$	$e\left(\frac{71}{474}\right)$	$e\left(\frac{62}{711}\right)$	$e\left(\frac{655}{1422}\right)$	$e\left(\frac{169}{237}\right)$
$\chi_{6023}(11,\cdot)$	6023.w	237	yes	$1$	$1$	$e\left(\frac{137}{237}\right)$	$e\left(\frac{143}{237}\right)$	$e\left(\frac{37}{237}\right)$	$e\left(\frac{32}{237}\right)$	$e\left(\frac{43}{237}\right)$	$e\left(\frac{45}{79}\right)$	$e\left(\frac{58}{79}\right)$	$e\left(\frac{49}{237}\right)$	$e\left(\frac{169}{237}\right)$	$e\left(\frac{38}{79}\right)$
$\chi_{6023}(12,\cdot)$	6023.bd	948	yes	$1$	$1$	$e\left(\frac{595}{948}\right)$	$e\left(\frac{583}{948}\right)$	$e\left(\frac{121}{474}\right)$	$e\left(\frac{331}{948}\right)$	$e\left(\frac{115}{474}\right)$	$e\left(\frac{113}{158}\right)$	$e\left(\frac{279}{316}\right)$	$e\left(\frac{109}{474}\right)$	$e\left(\frac{463}{474}\right)$	$e\left(\frac{60}{79}\right)$
$\chi_{6023}(13,\cdot)$	6023.bi	2844	yes	$1$	$1$	$e\left(\frac{2131}{2844}\right)$	$e\left(\frac{55}{2844}\right)$	$e\left(\frac{709}{1422}\right)$	$e\left(\frac{67}{2844}\right)$	$e\left(\frac{1093}{1422}\right)$	$e\left(\frac{115}{474}\right)$	$e\left(\frac{235}{948}\right)$	$e\left(\frac{55}{1422}\right)$	$e\left(\frac{1099}{1422}\right)$	$e\left(\frac{31}{237}\right)$
$\chi_{6023}(14,\cdot)$	6023.bi	2844	yes	$1$	$1$	$e\left(\frac{1565}{2844}\right)$	$e\left(\frac{689}{2844}\right)$	$e\left(\frac{143}{1422}\right)$	$e\left(\frac{1253}{2844}\right)$	$e\left(\frac{1127}{1422}\right)$	$e\left(\frac{191}{474}\right)$	$e\left(\frac{617}{948}\right)$	$e\left(\frac{689}{1422}\right)$	$e\left(\frac{1409}{1422}\right)$	$e\left(\frac{35}{237}\right)$
$\chi_{6023}(15,\cdot)$	6023.bf	1422	yes	$-1$	$1$	$e\left(\frac{239}{1422}\right)$	$e\left(\frac{893}{1422}\right)$	$e\left(\frac{239}{711}\right)$	$e\left(\frac{85}{711}\right)$	$e\left(\frac{566}{711}\right)$	$e\left(\frac{122}{237}\right)$	$e\left(\frac{239}{474}\right)$	$e\left(\frac{182}{711}\right)$	$e\left(\frac{409}{1422}\right)$	$e\left(\frac{175}{237}\right)$
$\chi_{6023}(16,\cdot)$	6023.bc	711	yes	$1$	$1$	$e\left(\frac{167}{711}\right)$	$e\left(\frac{29}{711}\right)$	$e\left(\frac{334}{711}\right)$	$e\left(\frac{449}{711}\right)$	$e\left(\frac{196}{711}\right)$	$e\left(\frac{229}{237}\right)$	$e\left(\frac{167}{237}\right)$	$e\left(\frac{58}{711}\right)$	$e\left(\frac{616}{711}\right)$	$e\left(\frac{74}{237}\right)$
$\chi_{6023}(17,\cdot)$	6023.bj	2844	yes	$-1$	$1$	$e\left(\frac{1103}{2844}\right)$	$e\left(\frac{1307}{2844}\right)$	$e\left(\frac{1103}{1422}\right)$	$e\left(\frac{377}{2844}\right)$	$e\left(\frac{1205}{1422}\right)$	$e\left(\frac{449}{474}\right)$	$e\left(\frac{155}{948}\right)$	$e\left(\frac{1307}{1422}\right)$	$e\left(\frac{370}{711}\right)$	$e\left(\frac{86}{237}\right)$
$\chi_{6023}(18,\cdot)$	6023.y	316	yes	$1$	$1$	$e\left(\frac{25}{316}\right)$	$e\left(\frac{221}{316}\right)$	$e\left(\frac{25}{158}\right)$	$e\left(\frac{229}{316}\right)$	$e\left(\frac{123}{158}\right)$	$e\left(\frac{151}{158}\right)$	$e\left(\frac{75}{316}\right)$	$e\left(\frac{63}{158}\right)$	$e\left(\frac{127}{158}\right)$	$e\left(\frac{62}{79}\right)$
$\chi_{6023}(20,\cdot)$	6023.x	316	no	$-1$	$1$	$e\left(\frac{245}{316}\right)$	$e\left(\frac{17}{316}\right)$	$e\left(\frac{87}{158}\right)$	$e\left(\frac{127}{316}\right)$	$e\left(\frac{131}{158}\right)$	$e\left(\frac{121}{158}\right)$	$e\left(\frac{103}{316}\right)$	$e\left(\frac{17}{158}\right)$	$e\left(\frac{14}{79}\right)$	$e\left(\frac{23}{79}\right)$
$\chi_{6023}(21,\cdot)$	6023.bi	2844	yes	$1$	$1$	$e\left(\frac{5}{2844}\right)$	$e\left(\frac{929}{2844}\right)$	$e\left(\frac{5}{1422}\right)$	$e\left(\frac{2321}{2844}\right)$	$e\left(\frac{467}{1422}\right)$	$e\left(\frac{305}{474}\right)$	$e\left(\frac{5}{948}\right)$	$e\left(\frac{929}{1422}\right)$	$e\left(\frac{1163}{1422}\right)$	$e\left(\frac{41}{237}\right)$
$\chi_{6023}(22,\cdot)$	6023.bi	2844	yes	$1$	$1$	$e\left(\frac{1811}{2844}\right)$	$e\left(\frac{323}{2844}\right)$	$e\left(\frac{389}{1422}\right)$	$e\left(\frac{2255}{2844}\right)$	$e\left(\frac{1067}{1422}\right)$	$e\left(\frac{29}{474}\right)$	$e\left(\frac{863}{948}\right)$	$e\left(\frac{323}{1422}\right)$	$e\left(\frac{611}{1422}\right)$	$e\left(\frac{14}{237}\right)$
$\chi_{6023}(23,\cdot)$	6023.bc	711	yes	$1$	$1$	$e\left(\frac{511}{711}\right)$	$e\left(\frac{523}{711}\right)$	$e\left(\frac{311}{711}\right)$	$e\left(\frac{301}{711}\right)$	$e\left(\frac{323}{711}\right)$	$e\left(\frac{11}{237}\right)$	$e\left(\frac{37}{237}\right)$	$e\left(\frac{335}{711}\right)$	$e\left(\frac{101}{711}\right)$	$e\left(\frac{76}{237}\right)$
$\chi_{6023}(24,\cdot)$	6023.bc	711	yes	$1$	$1$	$e\left(\frac{488}{711}\right)$	$e\left(\frac{89}{711}\right)$	$e\left(\frac{265}{711}\right)$	$e\left(\frac{5}{711}\right)$	$e\left(\frac{577}{711}\right)$	$e\left(\frac{49}{237}\right)$	$e\left(\frac{14}{237}\right)$	$e\left(\frac{178}{711}\right)$	$e\left(\frac{493}{711}\right)$	$e\left(\frac{80}{237}\right)$
$\chi_{6023}(25,\cdot)$	6023.bg	1422	yes	$1$	$1$	$e\left(\frac{449}{1422}\right)$	$e\left(\frac{95}{1422}\right)$	$e\left(\frac{449}{711}\right)$	$e\left(\frac{245}{1422}\right)$	$e\left(\frac{272}{711}\right)$	$e\left(\frac{134}{237}\right)$	$e\left(\frac{449}{474}\right)$	$e\left(\frac{95}{711}\right)$	$e\left(\frac{347}{711}\right)$	$e\left(\frac{64}{237}\right)$
$\chi_{6023}(26,\cdot)$	6023.z	474	yes	$1$	$1$	$e\left(\frac{383}{474}\right)$	$e\left(\frac{251}{474}\right)$	$e\left(\frac{146}{237}\right)$	$e\left(\frac{323}{474}\right)$	$e\left(\frac{80}{237}\right)$	$e\left(\frac{58}{79}\right)$	$e\left(\frac{67}{158}\right)$	$e\left(\frac{14}{237}\right)$	$e\left(\frac{116}{237}\right)$	$e\left(\frac{56}{79}\right)$
$\chi_{6023}(27,\cdot)$	6023.bd	948	yes	$1$	$1$	$e\left(\frac{503}{948}\right)$	$e\left(\frac{743}{948}\right)$	$e\left(\frac{29}{474}\right)$	$e\left(\frac{95}{948}\right)$	$e\left(\frac{149}{474}\right)$	$e\left(\frac{31}{158}\right)$	$e\left(\frac{187}{316}\right)$	$e\left(\frac{269}{474}\right)$	$e\left(\frac{299}{474}\right)$	$e\left(\frac{64}{79}\right)$
$\chi_{6023}(28,\cdot)$	6023.bc	711	yes	$1$	$1$	$e\left(\frac{433}{711}\right)$	$e\left(\frac{535}{711}\right)$	$e\left(\frac{155}{711}\right)$	$e\left(\frac{70}{711}\right)$	$e\left(\frac{257}{711}\right)$	$e\left(\frac{212}{237}\right)$	$e\left(\frac{196}{237}\right)$	$e\left(\frac{359}{711}\right)$	$e\left(\frac{503}{711}\right)$	$e\left(\frac{172}{237}\right)$
$\chi_{6023}(29,\cdot)$	6023.bi	2844	yes	$1$	$1$	$e\left(\frac{103}{2844}\right)$	$e\left(\frac{367}{2844}\right)$	$e\left(\frac{103}{1422}\right)$	$e\left(\frac{1171}{2844}\right)$	$e\left(\frac{235}{1422}\right)$	$e\left(\frac{121}{474}\right)$	$e\left(\frac{103}{948}\right)$	$e\left(\frac{367}{1422}\right)$	$e\left(\frac{637}{1422}\right)$	$e\left(\frac{181}{237}\right)$
$\chi_{6023}(30,\cdot)$	6023.be	948	yes	$-1$	$1$	$e\left(\frac{215}{948}\right)$	$e\left(\frac{131}{948}\right)$	$e\left(\frac{215}{474}\right)$	$e\left(\frac{737}{948}\right)$	$e\left(\frac{173}{474}\right)$	$e\left(\frac{1}{158}\right)$	$e\left(\frac{215}{316}\right)$	$e\left(\frac{131}{474}\right)$	$e\left(\frac{1}{237}\right)$	$e\left(\frac{25}{79}\right)$
$\chi_{6023}(31,\cdot)$	6023.ba	474	yes	$-1$	$1$	$e\left(\frac{341}{474}\right)$	$e\left(\frac{221}{474}\right)$	$e\left(\frac{104}{237}\right)$	$e\left(\frac{154}{237}\right)$	$e\left(\frac{44}{237}\right)$	$e\left(\frac{24}{79}\right)$	$e\left(\frac{25}{158}\right)$	$e\left(\frac{221}{237}\right)$	$e\left(\frac{175}{474}\right)$	$e\left(\frac{15}{79}\right)$
$\chi_{6023}(32,\cdot)$	6023.bi	2844	yes	$1$	$1$	$e\left(\frac{835}{2844}\right)$	$e\left(\frac{1567}{2844}\right)$	$e\left(\frac{835}{1422}\right)$	$e\left(\frac{823}{2844}\right)$	$e\left(\frac{1201}{1422}\right)$	$e\left(\frac{217}{474}\right)$	$e\left(\frac{835}{948}\right)$	$e\left(\frac{145}{1422}\right)$	$e\left(\frac{829}{1422}\right)$	$e\left(\frac{211}{237}\right)$
$\chi_{6023}(33,\cdot)$	6023.bi	2844	yes	$1$	$1$	$e\left(\frac{251}{2844}\right)$	$e\left(\frac{563}{2844}\right)$	$e\left(\frac{251}{1422}\right)$	$e\left(\frac{479}{2844}\right)$	$e\left(\frac{407}{1422}\right)$	$e\left(\frac{143}{474}\right)$	$e\left(\frac{251}{948}\right)$	$e\left(\frac{563}{1422}\right)$	$e\left(\frac{365}{1422}\right)$	$e\left(\frac{20}{237}\right)$

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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	$6023$
Structure	\(C_{2}\times C_{2844}\)
Order	$5688$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(11\)
\(\chi_{6023}(1,\cdot)\)	6023.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{6023}(2,\cdot)\)	6023.bi	2844	yes	\(1\)	\(1\)	\(e\left(\frac{167}{2844}\right)\)	\(e\left(\frac{1451}{2844}\right)\)	\(e\left(\frac{167}{1422}\right)\)	\(e\left(\frac{1871}{2844}\right)\)	\(e\left(\frac{809}{1422}\right)\)	\(e\left(\frac{233}{474}\right)\)	\(e\left(\frac{167}{948}\right)\)	\(e\left(\frac{29}{1422}\right)\)	\(e\left(\frac{1019}{1422}\right)\)	\(e\left(\frac{137}{237}\right)\)
\(\chi_{6023}(3,\cdot)\)	6023.bi	2844	yes	\(1\)	\(1\)	\(e\left(\frac{1451}{2844}\right)\)	\(e\left(\frac{1691}{2844}\right)\)	\(e\left(\frac{29}{1422}\right)\)	\(e\left(\frac{95}{2844}\right)\)	\(e\left(\frac{149}{1422}\right)\)	\(e\left(\frac{347}{474}\right)\)	\(e\left(\frac{503}{948}\right)\)	\(e\left(\frac{269}{1422}\right)\)	\(e\left(\frac{773}{1422}\right)\)	\(e\left(\frac{143}{237}\right)\)
\(\chi_{6023}(4,\cdot)\)	6023.bg	1422	yes	\(1\)	\(1\)	\(e\left(\frac{167}{1422}\right)\)	\(e\left(\frac{29}{1422}\right)\)	\(e\left(\frac{167}{711}\right)\)	\(e\left(\frac{449}{1422}\right)\)	\(e\left(\frac{98}{711}\right)\)	\(e\left(\frac{233}{237}\right)\)	\(e\left(\frac{167}{474}\right)\)	\(e\left(\frac{29}{711}\right)\)	\(e\left(\frac{308}{711}\right)\)	\(e\left(\frac{37}{237}\right)\)
\(\chi_{6023}(5,\cdot)\)	6023.bj	2844	yes	\(-1\)	\(1\)	\(e\left(\frac{1871}{2844}\right)\)	\(e\left(\frac{95}{2844}\right)\)	\(e\left(\frac{449}{1422}\right)\)	\(e\left(\frac{245}{2844}\right)\)	\(e\left(\frac{983}{1422}\right)\)	\(e\left(\frac{371}{474}\right)\)	\(e\left(\frac{923}{948}\right)\)	\(e\left(\frac{95}{1422}\right)\)	\(e\left(\frac{529}{711}\right)\)	\(e\left(\frac{32}{237}\right)\)
\(\chi_{6023}(6,\cdot)\)	6023.bg	1422	yes	\(1\)	\(1\)	\(e\left(\frac{809}{1422}\right)\)	\(e\left(\frac{149}{1422}\right)\)	\(e\left(\frac{98}{711}\right)\)	\(e\left(\frac{983}{1422}\right)\)	\(e\left(\frac{479}{711}\right)\)	\(e\left(\frac{53}{237}\right)\)	\(e\left(\frac{335}{474}\right)\)	\(e\left(\frac{149}{711}\right)\)	\(e\left(\frac{185}{711}\right)\)	\(e\left(\frac{43}{237}\right)\)
\(\chi_{6023}(7,\cdot)\)	6023.z	474	yes	\(1\)	\(1\)	\(e\left(\frac{233}{474}\right)\)	\(e\left(\frac{347}{474}\right)\)	\(e\left(\frac{233}{237}\right)\)	\(e\left(\frac{371}{474}\right)\)	\(e\left(\frac{53}{237}\right)\)	\(e\left(\frac{72}{79}\right)\)	\(e\left(\frac{75}{158}\right)\)	\(e\left(\frac{110}{237}\right)\)	\(e\left(\frac{65}{237}\right)\)	\(e\left(\frac{45}{79}\right)\)
\(\chi_{6023}(8,\cdot)\)	6023.bd	948	yes	\(1\)	\(1\)	\(e\left(\frac{167}{948}\right)\)	\(e\left(\frac{503}{948}\right)\)	\(e\left(\frac{167}{474}\right)\)	\(e\left(\frac{923}{948}\right)\)	\(e\left(\frac{335}{474}\right)\)	\(e\left(\frac{75}{158}\right)\)	\(e\left(\frac{167}{316}\right)\)	\(e\left(\frac{29}{474}\right)\)	\(e\left(\frac{71}{474}\right)\)	\(e\left(\frac{58}{79}\right)\)
\(\chi_{6023}(9,\cdot)\)	6023.bg	1422	yes	\(1\)	\(1\)	\(e\left(\frac{29}{1422}\right)\)	\(e\left(\frac{269}{1422}\right)\)	\(e\left(\frac{29}{711}\right)\)	\(e\left(\frac{95}{1422}\right)\)	\(e\left(\frac{149}{711}\right)\)	\(e\left(\frac{110}{237}\right)\)	\(e\left(\frac{29}{474}\right)\)	\(e\left(\frac{269}{711}\right)\)	\(e\left(\frac{62}{711}\right)\)	\(e\left(\frac{49}{237}\right)\)
\(\chi_{6023}(10,\cdot)\)	6023.bf	1422	yes	\(-1\)	\(1\)	\(e\left(\frac{1019}{1422}\right)\)	\(e\left(\frac{773}{1422}\right)\)	\(e\left(\frac{308}{711}\right)\)	\(e\left(\frac{529}{711}\right)\)	\(e\left(\frac{185}{711}\right)\)	\(e\left(\frac{65}{237}\right)\)	\(e\left(\frac{71}{474}\right)\)	\(e\left(\frac{62}{711}\right)\)	\(e\left(\frac{655}{1422}\right)\)	\(e\left(\frac{169}{237}\right)\)
\(\chi_{6023}(11,\cdot)\)	6023.w	237	yes	\(1\)	\(1\)	\(e\left(\frac{137}{237}\right)\)	\(e\left(\frac{143}{237}\right)\)	\(e\left(\frac{37}{237}\right)\)	\(e\left(\frac{32}{237}\right)\)	\(e\left(\frac{43}{237}\right)\)	\(e\left(\frac{45}{79}\right)\)	\(e\left(\frac{58}{79}\right)\)	\(e\left(\frac{49}{237}\right)\)	\(e\left(\frac{169}{237}\right)\)	\(e\left(\frac{38}{79}\right)\)
\(\chi_{6023}(12,\cdot)\)	6023.bd	948	yes	\(1\)	\(1\)	\(e\left(\frac{595}{948}\right)\)	\(e\left(\frac{583}{948}\right)\)	\(e\left(\frac{121}{474}\right)\)	\(e\left(\frac{331}{948}\right)\)	\(e\left(\frac{115}{474}\right)\)	\(e\left(\frac{113}{158}\right)\)	\(e\left(\frac{279}{316}\right)\)	\(e\left(\frac{109}{474}\right)\)	\(e\left(\frac{463}{474}\right)\)	\(e\left(\frac{60}{79}\right)\)
\(\chi_{6023}(13,\cdot)\)	6023.bi	2844	yes	\(1\)	\(1\)	\(e\left(\frac{2131}{2844}\right)\)	\(e\left(\frac{55}{2844}\right)\)	\(e\left(\frac{709}{1422}\right)\)	\(e\left(\frac{67}{2844}\right)\)	\(e\left(\frac{1093}{1422}\right)\)	\(e\left(\frac{115}{474}\right)\)	\(e\left(\frac{235}{948}\right)\)	\(e\left(\frac{55}{1422}\right)\)	\(e\left(\frac{1099}{1422}\right)\)	\(e\left(\frac{31}{237}\right)\)
\(\chi_{6023}(14,\cdot)\)	6023.bi	2844	yes	\(1\)	\(1\)	\(e\left(\frac{1565}{2844}\right)\)	\(e\left(\frac{689}{2844}\right)\)	\(e\left(\frac{143}{1422}\right)\)	\(e\left(\frac{1253}{2844}\right)\)	\(e\left(\frac{1127}{1422}\right)\)	\(e\left(\frac{191}{474}\right)\)	\(e\left(\frac{617}{948}\right)\)	\(e\left(\frac{689}{1422}\right)\)	\(e\left(\frac{1409}{1422}\right)\)	\(e\left(\frac{35}{237}\right)\)
\(\chi_{6023}(15,\cdot)\)	6023.bf	1422	yes	\(-1\)	\(1\)	\(e\left(\frac{239}{1422}\right)\)	\(e\left(\frac{893}{1422}\right)\)	\(e\left(\frac{239}{711}\right)\)	\(e\left(\frac{85}{711}\right)\)	\(e\left(\frac{566}{711}\right)\)	\(e\left(\frac{122}{237}\right)\)	\(e\left(\frac{239}{474}\right)\)	\(e\left(\frac{182}{711}\right)\)	\(e\left(\frac{409}{1422}\right)\)	\(e\left(\frac{175}{237}\right)\)
\(\chi_{6023}(16,\cdot)\)	6023.bc	711	yes	\(1\)	\(1\)	\(e\left(\frac{167}{711}\right)\)	\(e\left(\frac{29}{711}\right)\)	\(e\left(\frac{334}{711}\right)\)	\(e\left(\frac{449}{711}\right)\)	\(e\left(\frac{196}{711}\right)\)	\(e\left(\frac{229}{237}\right)\)	\(e\left(\frac{167}{237}\right)\)	\(e\left(\frac{58}{711}\right)\)	\(e\left(\frac{616}{711}\right)\)	\(e\left(\frac{74}{237}\right)\)
\(\chi_{6023}(17,\cdot)\)	6023.bj	2844	yes	\(-1\)	\(1\)	\(e\left(\frac{1103}{2844}\right)\)	\(e\left(\frac{1307}{2844}\right)\)	\(e\left(\frac{1103}{1422}\right)\)	\(e\left(\frac{377}{2844}\right)\)	\(e\left(\frac{1205}{1422}\right)\)	\(e\left(\frac{449}{474}\right)\)	\(e\left(\frac{155}{948}\right)\)	\(e\left(\frac{1307}{1422}\right)\)	\(e\left(\frac{370}{711}\right)\)	\(e\left(\frac{86}{237}\right)\)
\(\chi_{6023}(18,\cdot)\)	6023.y	316	yes	\(1\)	\(1\)	\(e\left(\frac{25}{316}\right)\)	\(e\left(\frac{221}{316}\right)\)	\(e\left(\frac{25}{158}\right)\)	\(e\left(\frac{229}{316}\right)\)	\(e\left(\frac{123}{158}\right)\)	\(e\left(\frac{151}{158}\right)\)	\(e\left(\frac{75}{316}\right)\)	\(e\left(\frac{63}{158}\right)\)	\(e\left(\frac{127}{158}\right)\)	\(e\left(\frac{62}{79}\right)\)
\(\chi_{6023}(20,\cdot)\)	6023.x	316	no	\(-1\)	\(1\)	\(e\left(\frac{245}{316}\right)\)	\(e\left(\frac{17}{316}\right)\)	\(e\left(\frac{87}{158}\right)\)	\(e\left(\frac{127}{316}\right)\)	\(e\left(\frac{131}{158}\right)\)	\(e\left(\frac{121}{158}\right)\)	\(e\left(\frac{103}{316}\right)\)	\(e\left(\frac{17}{158}\right)\)	\(e\left(\frac{14}{79}\right)\)	\(e\left(\frac{23}{79}\right)\)
\(\chi_{6023}(21,\cdot)\)	6023.bi	2844	yes	\(1\)	\(1\)	\(e\left(\frac{5}{2844}\right)\)	\(e\left(\frac{929}{2844}\right)\)	\(e\left(\frac{5}{1422}\right)\)	\(e\left(\frac{2321}{2844}\right)\)	\(e\left(\frac{467}{1422}\right)\)	\(e\left(\frac{305}{474}\right)\)	\(e\left(\frac{5}{948}\right)\)	\(e\left(\frac{929}{1422}\right)\)	\(e\left(\frac{1163}{1422}\right)\)	\(e\left(\frac{41}{237}\right)\)
\(\chi_{6023}(22,\cdot)\)	6023.bi	2844	yes	\(1\)	\(1\)	\(e\left(\frac{1811}{2844}\right)\)	\(e\left(\frac{323}{2844}\right)\)	\(e\left(\frac{389}{1422}\right)\)	\(e\left(\frac{2255}{2844}\right)\)	\(e\left(\frac{1067}{1422}\right)\)	\(e\left(\frac{29}{474}\right)\)	\(e\left(\frac{863}{948}\right)\)	\(e\left(\frac{323}{1422}\right)\)	\(e\left(\frac{611}{1422}\right)\)	\(e\left(\frac{14}{237}\right)\)
\(\chi_{6023}(23,\cdot)\)	6023.bc	711	yes	\(1\)	\(1\)	\(e\left(\frac{511}{711}\right)\)	\(e\left(\frac{523}{711}\right)\)	\(e\left(\frac{311}{711}\right)\)	\(e\left(\frac{301}{711}\right)\)	\(e\left(\frac{323}{711}\right)\)	\(e\left(\frac{11}{237}\right)\)	\(e\left(\frac{37}{237}\right)\)	\(e\left(\frac{335}{711}\right)\)	\(e\left(\frac{101}{711}\right)\)	\(e\left(\frac{76}{237}\right)\)
\(\chi_{6023}(24,\cdot)\)	6023.bc	711	yes	\(1\)	\(1\)	\(e\left(\frac{488}{711}\right)\)	\(e\left(\frac{89}{711}\right)\)	\(e\left(\frac{265}{711}\right)\)	\(e\left(\frac{5}{711}\right)\)	\(e\left(\frac{577}{711}\right)\)	\(e\left(\frac{49}{237}\right)\)	\(e\left(\frac{14}{237}\right)\)	\(e\left(\frac{178}{711}\right)\)	\(e\left(\frac{493}{711}\right)\)	\(e\left(\frac{80}{237}\right)\)
\(\chi_{6023}(25,\cdot)\)	6023.bg	1422	yes	\(1\)	\(1\)	\(e\left(\frac{449}{1422}\right)\)	\(e\left(\frac{95}{1422}\right)\)	\(e\left(\frac{449}{711}\right)\)	\(e\left(\frac{245}{1422}\right)\)	\(e\left(\frac{272}{711}\right)\)	\(e\left(\frac{134}{237}\right)\)	\(e\left(\frac{449}{474}\right)\)	\(e\left(\frac{95}{711}\right)\)	\(e\left(\frac{347}{711}\right)\)	\(e\left(\frac{64}{237}\right)\)
\(\chi_{6023}(26,\cdot)\)	6023.z	474	yes	\(1\)	\(1\)	\(e\left(\frac{383}{474}\right)\)	\(e\left(\frac{251}{474}\right)\)	\(e\left(\frac{146}{237}\right)\)	\(e\left(\frac{323}{474}\right)\)	\(e\left(\frac{80}{237}\right)\)	\(e\left(\frac{58}{79}\right)\)	\(e\left(\frac{67}{158}\right)\)	\(e\left(\frac{14}{237}\right)\)	\(e\left(\frac{116}{237}\right)\)	\(e\left(\frac{56}{79}\right)\)
\(\chi_{6023}(27,\cdot)\)	6023.bd	948	yes	\(1\)	\(1\)	\(e\left(\frac{503}{948}\right)\)	\(e\left(\frac{743}{948}\right)\)	\(e\left(\frac{29}{474}\right)\)	\(e\left(\frac{95}{948}\right)\)	\(e\left(\frac{149}{474}\right)\)	\(e\left(\frac{31}{158}\right)\)	\(e\left(\frac{187}{316}\right)\)	\(e\left(\frac{269}{474}\right)\)	\(e\left(\frac{299}{474}\right)\)	\(e\left(\frac{64}{79}\right)\)
\(\chi_{6023}(28,\cdot)\)	6023.bc	711	yes	\(1\)	\(1\)	\(e\left(\frac{433}{711}\right)\)	\(e\left(\frac{535}{711}\right)\)	\(e\left(\frac{155}{711}\right)\)	\(e\left(\frac{70}{711}\right)\)	\(e\left(\frac{257}{711}\right)\)	\(e\left(\frac{212}{237}\right)\)	\(e\left(\frac{196}{237}\right)\)	\(e\left(\frac{359}{711}\right)\)	\(e\left(\frac{503}{711}\right)\)	\(e\left(\frac{172}{237}\right)\)
\(\chi_{6023}(29,\cdot)\)	6023.bi	2844	yes	\(1\)	\(1\)	\(e\left(\frac{103}{2844}\right)\)	\(e\left(\frac{367}{2844}\right)\)	\(e\left(\frac{103}{1422}\right)\)	\(e\left(\frac{1171}{2844}\right)\)	\(e\left(\frac{235}{1422}\right)\)	\(e\left(\frac{121}{474}\right)\)	\(e\left(\frac{103}{948}\right)\)	\(e\left(\frac{367}{1422}\right)\)	\(e\left(\frac{637}{1422}\right)\)	\(e\left(\frac{181}{237}\right)\)
\(\chi_{6023}(30,\cdot)\)	6023.be	948	yes	\(-1\)	\(1\)	\(e\left(\frac{215}{948}\right)\)	\(e\left(\frac{131}{948}\right)\)	\(e\left(\frac{215}{474}\right)\)	\(e\left(\frac{737}{948}\right)\)	\(e\left(\frac{173}{474}\right)\)	\(e\left(\frac{1}{158}\right)\)	\(e\left(\frac{215}{316}\right)\)	\(e\left(\frac{131}{474}\right)\)	\(e\left(\frac{1}{237}\right)\)	\(e\left(\frac{25}{79}\right)\)
\(\chi_{6023}(31,\cdot)\)	6023.ba	474	yes	\(-1\)	\(1\)	\(e\left(\frac{341}{474}\right)\)	\(e\left(\frac{221}{474}\right)\)	\(e\left(\frac{104}{237}\right)\)	\(e\left(\frac{154}{237}\right)\)	\(e\left(\frac{44}{237}\right)\)	\(e\left(\frac{24}{79}\right)\)	\(e\left(\frac{25}{158}\right)\)	\(e\left(\frac{221}{237}\right)\)	\(e\left(\frac{175}{474}\right)\)	\(e\left(\frac{15}{79}\right)\)
\(\chi_{6023}(32,\cdot)\)	6023.bi	2844	yes	\(1\)	\(1\)	\(e\left(\frac{835}{2844}\right)\)	\(e\left(\frac{1567}{2844}\right)\)	\(e\left(\frac{835}{1422}\right)\)	\(e\left(\frac{823}{2844}\right)\)	\(e\left(\frac{1201}{1422}\right)\)	\(e\left(\frac{217}{474}\right)\)	\(e\left(\frac{835}{948}\right)\)	\(e\left(\frac{145}{1422}\right)\)	\(e\left(\frac{829}{1422}\right)\)	\(e\left(\frac{211}{237}\right)\)
\(\chi_{6023}(33,\cdot)\)	6023.bi	2844	yes	\(1\)	\(1\)	\(e\left(\frac{251}{2844}\right)\)	\(e\left(\frac{563}{2844}\right)\)	\(e\left(\frac{251}{1422}\right)\)	\(e\left(\frac{479}{2844}\right)\)	\(e\left(\frac{407}{1422}\right)\)	\(e\left(\frac{143}{474}\right)\)	\(e\left(\frac{251}{948}\right)\)	\(e\left(\frac{563}{1422}\right)\)	\(e\left(\frac{365}{1422}\right)\)	\(e\left(\frac{20}{237}\right)\)

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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.