LMFDB - Group of Dirichlet characters of modulus 790272

Show commands: PariGP / SageMath

sage: H = DirichletGroup(790272)

pari: g = idealstar(,790272,2)

Character group

sage: G.order() pari: g.no
Order	=	225792
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{6}\times C_{9408}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{790272}(104959,\cdot)$, $\chi_{790272}(580357,\cdot)$, $\chi_{790272}(614657,\cdot)$, $\chi_{790272}(456193,\cdot)$

First 32 of 225792 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	$-1$	$1$	$5$	$11$	$13$	$17$	$19$	$23$	$25$	$29$	$31$	$37$
$\chi_{790272}(1,\cdot)$	790272.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{790272}(5,\cdot)$	790272.bfu	9408	yes	$1$	$1$	$e\left(\frac{403}{9408}\right)$	$e\left(\frac{6383}{9408}\right)$	$e\left(\frac{4829}{9408}\right)$	$e\left(\frac{949}{2352}\right)$	$e\left(\frac{101}{192}\right)$	$e\left(\frac{2645}{4704}\right)$	$e\left(\frac{403}{4704}\right)$	$e\left(\frac{2305}{9408}\right)$	$e\left(\frac{51}{56}\right)$	$e\left(\frac{6491}{9408}\right)$
$\chi_{790272}(11,\cdot)$	790272.bfw	9408	yes	$1$	$1$	$e\left(\frac{6383}{9408}\right)$	$e\left(\frac{6715}{9408}\right)$	$e\left(\frac{3649}{9408}\right)$	$e\left(\frac{881}{2352}\right)$	$e\left(\frac{73}{192}\right)$	$e\left(\frac{4489}{4704}\right)$	$e\left(\frac{1679}{4704}\right)$	$e\left(\frac{7829}{9408}\right)$	$e\left(\frac{31}{56}\right)$	$e\left(\frac{5239}{9408}\right)$
$\chi_{790272}(13,\cdot)$	790272.bge	9408	yes	$-1$	$1$	$e\left(\frac{4829}{9408}\right)$	$e\left(\frac{3649}{9408}\right)$	$e\left(\frac{4307}{9408}\right)$	$e\left(\frac{625}{784}\right)$	$e\left(\frac{25}{64}\right)$	$e\left(\frac{4363}{4704}\right)$	$e\left(\frac{125}{4704}\right)$	$e\left(\frac{6415}{9408}\right)$	$e\left(\frac{79}{168}\right)$	$e\left(\frac{295}{3136}\right)$
$\chi_{790272}(17,\cdot)$	790272.bcz	2352	no	$1$	$1$	$e\left(\frac{949}{2352}\right)$	$e\left(\frac{881}{2352}\right)$	$e\left(\frac{625}{784}\right)$	$e\left(\frac{515}{588}\right)$	$e\left(\frac{43}{48}\right)$	$e\left(\frac{671}{1176}\right)$	$e\left(\frac{949}{1176}\right)$	$e\left(\frac{549}{784}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{541}{2352}\right)$
$\chi_{790272}(19,\cdot)$	790272.rv	192	no	$1$	$1$	$e\left(\frac{101}{192}\right)$	$e\left(\frac{73}{192}\right)$	$e\left(\frac{25}{64}\right)$	$e\left(\frac{43}{48}\right)$	$e\left(\frac{179}{192}\right)$	$e\left(\frac{19}{96}\right)$	$e\left(\frac{5}{96}\right)$	$e\left(\frac{13}{64}\right)$	$e\left(\frac{5}{24}\right)$	$e\left(\frac{125}{192}\right)$
$\chi_{790272}(23,\cdot)$	790272.bfa	4704	no	$1$	$1$	$e\left(\frac{2645}{4704}\right)$	$e\left(\frac{4489}{4704}\right)$	$e\left(\frac{4363}{4704}\right)$	$e\left(\frac{671}{1176}\right)$	$e\left(\frac{19}{96}\right)$	$e\left(\frac{499}{2352}\right)$	$e\left(\frac{293}{2352}\right)$	$e\left(\frac{4343}{4704}\right)$	$e\left(\frac{3}{28}\right)$	$e\left(\frac{3517}{4704}\right)$
$\chi_{790272}(25,\cdot)$	790272.beu	4704	no	$1$	$1$	$e\left(\frac{403}{4704}\right)$	$e\left(\frac{1679}{4704}\right)$	$e\left(\frac{125}{4704}\right)$	$e\left(\frac{949}{1176}\right)$	$e\left(\frac{5}{96}\right)$	$e\left(\frac{293}{2352}\right)$	$e\left(\frac{403}{2352}\right)$	$e\left(\frac{2305}{4704}\right)$	$e\left(\frac{23}{28}\right)$	$e\left(\frac{1787}{4704}\right)$
$\chi_{790272}(29,\cdot)$	790272.bgh	9408	yes	$-1$	$1$	$e\left(\frac{2305}{9408}\right)$	$e\left(\frac{7829}{9408}\right)$	$e\left(\frac{6415}{9408}\right)$	$e\left(\frac{549}{784}\right)$	$e\left(\frac{13}{64}\right)$	$e\left(\frac{4343}{4704}\right)$	$e\left(\frac{2305}{4704}\right)$	$e\left(\frac{3515}{9408}\right)$	$e\left(\frac{143}{168}\right)$	$e\left(\frac{1363}{3136}\right)$
$\chi_{790272}(31,\cdot)$	790272.qh	168	no	$1$	$1$	$e\left(\frac{51}{56}\right)$	$e\left(\frac{31}{56}\right)$	$e\left(\frac{79}{168}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{5}{24}\right)$	$e\left(\frac{3}{28}\right)$	$e\left(\frac{23}{28}\right)$	$e\left(\frac{143}{168}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{101}{168}\right)$
$\chi_{790272}(37,\cdot)$	790272.bfs	9408	no	$1$	$1$	$e\left(\frac{6491}{9408}\right)$	$e\left(\frac{5239}{9408}\right)$	$e\left(\frac{295}{3136}\right)$	$e\left(\frac{541}{2352}\right)$	$e\left(\frac{125}{192}\right)$	$e\left(\frac{3517}{4704}\right)$	$e\left(\frac{1787}{4704}\right)$	$e\left(\frac{1363}{3136}\right)$	$e\left(\frac{101}{168}\right)$	$e\left(\frac{3683}{9408}\right)$
$\chi_{790272}(41,\cdot)$	790272.beh	4704	no	$1$	$1$	$e\left(\frac{877}{4704}\right)$	$e\left(\frac{3041}{4704}\right)$	$e\left(\frac{2803}{4704}\right)$	$e\left(\frac{73}{392}\right)$	$e\left(\frac{25}{32}\right)$	$e\left(\frac{1907}{2352}\right)$	$e\left(\frac{877}{2352}\right)$	$e\left(\frac{4271}{4704}\right)$	$e\left(\frac{17}{84}\right)$	$e\left(\frac{439}{1568}\right)$
$\chi_{790272}(43,\cdot)$	790272.bfm	9408	yes	$-1$	$1$	$e\left(\frac{8263}{9408}\right)$	$e\left(\frac{4019}{9408}\right)$	$e\left(\frac{8905}{9408}\right)$	$e\left(\frac{155}{784}\right)$	$e\left(\frac{27}{64}\right)$	$e\left(\frac{2465}{4704}\right)$	$e\left(\frac{3559}{4704}\right)$	$e\left(\frac{5213}{9408}\right)$	$e\left(\frac{29}{168}\right)$	$e\left(\frac{1061}{3136}\right)$
$\chi_{790272}(47,\cdot)$	790272.bcu	2352	no	$-1$	$1$	$e\left(\frac{571}{784}\right)$	$e\left(\frac{167}{784}\right)$	$e\left(\frac{151}{2352}\right)$	$e\left(\frac{19}{588}\right)$	$e\left(\frac{23}{48}\right)$	$e\left(\frac{349}{392}\right)$	$e\left(\frac{179}{392}\right)$	$e\left(\frac{1091}{2352}\right)$	$e\left(\frac{25}{42}\right)$	$e\left(\frac{713}{2352}\right)$
$\chi_{790272}(53,\cdot)$	790272.bft	9408	no	$-1$	$1$	$e\left(\frac{5311}{9408}\right)$	$e\left(\frac{2027}{9408}\right)$	$e\left(\frac{1147}{3136}\right)$	$e\left(\frac{1265}{2352}\right)$	$e\left(\frac{25}{192}\right)$	$e\left(\frac{809}{4704}\right)$	$e\left(\frac{607}{4704}\right)$	$e\left(\frac{2711}{3136}\right)$	$e\left(\frac{25}{168}\right)$	$e\left(\frac{4423}{9408}\right)$
$\chi_{790272}(55,\cdot)$	790272.bcc	1568	no	$1$	$1$	$e\left(\frac{1131}{1568}\right)$	$e\left(\frac{615}{1568}\right)$	$e\left(\frac{1413}{1568}\right)$	$e\left(\frac{305}{392}\right)$	$e\left(\frac{29}{32}\right)$	$e\left(\frac{405}{784}\right)$	$e\left(\frac{347}{784}\right)$	$e\left(\frac{121}{1568}\right)$	$e\left(\frac{13}{28}\right)$	$e\left(\frac{387}{1568}\right)$
$\chi_{790272}(59,\cdot)$	790272.bfh	9408	yes	$-1$	$1$	$e\left(\frac{2241}{3136}\right)$	$e\left(\frac{341}{3136}\right)$	$e\left(\frac{7085}{9408}\right)$	$e\left(\frac{101}{2352}\right)$	$e\left(\frac{85}{192}\right)$	$e\left(\frac{999}{1568}\right)$	$e\left(\frac{673}{1568}\right)$	$e\left(\frac{5521}{9408}\right)$	$e\left(\frac{29}{168}\right)$	$e\left(\frac{8587}{9408}\right)$
$\chi_{790272}(61,\cdot)$	790272.bfc	9408	yes	$-1$	$1$	$e\left(\frac{1795}{3136}\right)$	$e\left(\frac{3039}{3136}\right)$	$e\left(\frac{2215}{9408}\right)$	$e\left(\frac{1591}{2352}\right)$	$e\left(\frac{191}{192}\right)$	$e\left(\frac{309}{1568}\right)$	$e\left(\frac{227}{1568}\right)$	$e\left(\frac{1331}{9408}\right)$	$e\left(\frac{115}{168}\right)$	$e\left(\frac{5825}{9408}\right)$
$\chi_{790272}(65,\cdot)$	790272.xu	588	no	$-1$	$1$	$e\left(\frac{109}{196}\right)$	$e\left(\frac{13}{196}\right)$	$e\left(\frac{571}{588}\right)$	$e\left(\frac{59}{294}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{24}{49}\right)$	$e\left(\frac{11}{98}\right)$	$e\left(\frac{545}{588}\right)$	$e\left(\frac{8}{21}\right)$	$e\left(\frac{461}{588}\right)$
$\chi_{790272}(67,\cdot)$	790272.bav	1344	no	$-1$	$1$	$e\left(\frac{229}{448}\right)$	$e\left(\frac{361}{448}\right)$	$e\left(\frac{929}{1344}\right)$	$e\left(\frac{281}{336}\right)$	$e\left(\frac{31}{192}\right)$	$e\left(\frac{179}{224}\right)$	$e\left(\frac{5}{224}\right)$	$e\left(\frac{277}{1344}\right)$	$e\left(\frac{5}{24}\right)$	$e\left(\frac{151}{1344}\right)$
$\chi_{790272}(71,\cdot)$	790272.bcb	1568	no	$1$	$1$	$e\left(\frac{653}{1568}\right)$	$e\left(\frac{353}{1568}\right)$	$e\left(\frac{115}{1568}\right)$	$e\left(\frac{191}{392}\right)$	$e\left(\frac{27}{32}\right)$	$e\left(\frac{395}{784}\right)$	$e\left(\frac{653}{784}\right)$	$e\left(\frac{1023}{1568}\right)$	$e\left(\frac{17}{28}\right)$	$e\left(\frac{1205}{1568}\right)$
$\chi_{790272}(73,\cdot)$	790272.bet	4704	no	$-1$	$1$	$e\left(\frac{2993}{4704}\right)$	$e\left(\frac{2869}{4704}\right)$	$e\left(\frac{373}{1568}\right)$	$e\left(\frac{403}{1176}\right)$	$e\left(\frac{23}{96}\right)$	$e\left(\frac{2071}{2352}\right)$	$e\left(\frac{641}{2352}\right)$	$e\left(\frac{73}{1568}\right)$	$e\left(\frac{41}{84}\right)$	$e\left(\frac{4601}{4704}\right)$
$\chi_{790272}(79,\cdot)$	790272.vm	336	no	$-1$	$1$	$e\left(\frac{75}{112}\right)$	$e\left(\frac{95}{112}\right)$	$e\left(\frac{271}{336}\right)$	$e\left(\frac{43}{84}\right)$	$e\left(\frac{41}{48}\right)$	$e\left(\frac{25}{56}\right)$	$e\left(\frac{19}{56}\right)$	$e\left(\frac{11}{336}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{137}{336}\right)$
$\chi_{790272}(83,\cdot)$	790272.bfl	9408	yes	$-1$	$1$	$e\left(\frac{1765}{9408}\right)$	$e\left(\frac{1097}{9408}\right)$	$e\left(\frac{9259}{9408}\right)$	$e\left(\frac{593}{784}\right)$	$e\left(\frac{1}{64}\right)$	$e\left(\frac{2147}{4704}\right)$	$e\left(\frac{1765}{4704}\right)$	$e\left(\frac{4967}{9408}\right)$	$e\left(\frac{131}{168}\right)$	$e\left(\frac{2911}{3136}\right)$
$\chi_{790272}(85,\cdot)$	790272.bgg	9408	yes	$1$	$1$	$e\left(\frac{4199}{9408}\right)$	$e\left(\frac{499}{9408}\right)$	$e\left(\frac{2921}{9408}\right)$	$e\left(\frac{219}{784}\right)$	$e\left(\frac{27}{64}\right)$	$e\left(\frac{625}{4704}\right)$	$e\left(\frac{4199}{4704}\right)$	$e\left(\frac{8893}{9408}\right)$	$e\left(\frac{121}{168}\right)$	$e\left(\frac{2885}{3136}\right)$
$\chi_{790272}(89,\cdot)$	790272.ber	4704	no	$1$	$1$	$e\left(\frac{571}{4704}\right)$	$e\left(\frac{167}{4704}\right)$	$e\left(\frac{1367}{1568}\right)$	$e\left(\frac{725}{1176}\right)$	$e\left(\frac{13}{96}\right)$	$e\left(\frac{2309}{2352}\right)$	$e\left(\frac{571}{2352}\right)$	$e\left(\frac{1123}{1568}\right)$	$e\left(\frac{55}{84}\right)$	$e\left(\frac{2851}{4704}\right)$
$\chi_{790272}(95,\cdot)$	790272.bad	1176	no	$1$	$1$	$e\left(\frac{223}{392}\right)$	$e\left(\frac{23}{392}\right)$	$e\left(\frac{1063}{1176}\right)$	$e\left(\frac{44}{147}\right)$	$e\left(\frac{11}{24}\right)$	$e\left(\frac{149}{196}\right)$	$e\left(\frac{27}{196}\right)$	$e\left(\frac{527}{1176}\right)$	$e\left(\frac{5}{42}\right)$	$e\left(\frac{401}{1176}\right)$
$\chi_{790272}(97,\cdot)$	790272.pr	168	no	$-1$	$1$	$e\left(\frac{125}{168}\right)$	$e\left(\frac{37}{168}\right)$	$e\left(\frac{107}{168}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{79}{84}\right)$	$e\left(\frac{41}{84}\right)$	$e\left(\frac{115}{168}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{43}{56}\right)$
$\chi_{790272}(101,\cdot)$	790272.bfu	9408	yes	$1$	$1$	$e\left(\frac{6059}{9408}\right)$	$e\left(\frac{6439}{9408}\right)$	$e\left(\frac{7237}{9408}\right)$	$e\left(\frac{1901}{2352}\right)$	$e\left(\frac{13}{192}\right)$	$e\left(\frac{349}{4704}\right)$	$e\left(\frac{1355}{4704}\right)$	$e\left(\frac{4937}{9408}\right)$	$e\left(\frac{51}{56}\right)$	$e\left(\frac{499}{9408}\right)$
$\chi_{790272}(103,\cdot)$	790272.bez	4704	no	$1$	$1$	$e\left(\frac{947}{4704}\right)$	$e\left(\frac{1039}{4704}\right)$	$e\left(\frac{2173}{4704}\right)$	$e\left(\frac{1073}{1176}\right)$	$e\left(\frac{85}{96}\right)$	$e\left(\frac{493}{2352}\right)$	$e\left(\frac{947}{2352}\right)$	$e\left(\frac{3473}{4704}\right)$	$e\left(\frac{15}{28}\right)$	$e\left(\frac{715}{4704}\right)$
$\chi_{790272}(107,\cdot)$	790272.bgb	9408	no	$1$	$1$	$e\left(\frac{7127}{9408}\right)$	$e\left(\frac{9091}{9408}\right)$	$e\left(\frac{2419}{3136}\right)$	$e\left(\frac{1849}{2352}\right)$	$e\left(\frac{161}{192}\right)$	$e\left(\frac{2497}{4704}\right)$	$e\left(\frac{2423}{4704}\right)$	$e\left(\frac{1455}{3136}\right)$	$e\left(\frac{5}{168}\right)$	$e\left(\frac{95}{9408}\right)$
$\chi_{790272}(109,\cdot)$	790272.bfs	9408	no	$1$	$1$	$e\left(\frac{7573}{9408}\right)$	$e\left(\frac{3257}{9408}\right)$	$e\left(\frac{521}{3136}\right)$	$e\left(\frac{1091}{2352}\right)$	$e\left(\frac{19}{192}\right)$	$e\left(\frac{1619}{4704}\right)$	$e\left(\frac{2869}{4704}\right)$	$e\left(\frac{2269}{3136}\right)$	$e\left(\frac{163}{168}\right)$	$e\left(\frac{5197}{9408}\right)$

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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	$790272$
Structure	\(C_{2}\times C_{2}\times C_{6}\times C_{9408}\)
Order	$225792$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(5\)	\(11\)	\(13\)	\(17\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)	\(37\)
\(\chi_{790272}(1,\cdot)\)	790272.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{790272}(5,\cdot)\)	790272.bfu	9408	yes	\(1\)	\(1\)	\(e\left(\frac{403}{9408}\right)\)	\(e\left(\frac{6383}{9408}\right)\)	\(e\left(\frac{4829}{9408}\right)\)	\(e\left(\frac{949}{2352}\right)\)	\(e\left(\frac{101}{192}\right)\)	\(e\left(\frac{2645}{4704}\right)\)	\(e\left(\frac{403}{4704}\right)\)	\(e\left(\frac{2305}{9408}\right)\)	\(e\left(\frac{51}{56}\right)\)	\(e\left(\frac{6491}{9408}\right)\)
\(\chi_{790272}(11,\cdot)\)	790272.bfw	9408	yes	\(1\)	\(1\)	\(e\left(\frac{6383}{9408}\right)\)	\(e\left(\frac{6715}{9408}\right)\)	\(e\left(\frac{3649}{9408}\right)\)	\(e\left(\frac{881}{2352}\right)\)	\(e\left(\frac{73}{192}\right)\)	\(e\left(\frac{4489}{4704}\right)\)	\(e\left(\frac{1679}{4704}\right)\)	\(e\left(\frac{7829}{9408}\right)\)	\(e\left(\frac{31}{56}\right)\)	\(e\left(\frac{5239}{9408}\right)\)
\(\chi_{790272}(13,\cdot)\)	790272.bge	9408	yes	\(-1\)	\(1\)	\(e\left(\frac{4829}{9408}\right)\)	\(e\left(\frac{3649}{9408}\right)\)	\(e\left(\frac{4307}{9408}\right)\)	\(e\left(\frac{625}{784}\right)\)	\(e\left(\frac{25}{64}\right)\)	\(e\left(\frac{4363}{4704}\right)\)	\(e\left(\frac{125}{4704}\right)\)	\(e\left(\frac{6415}{9408}\right)\)	\(e\left(\frac{79}{168}\right)\)	\(e\left(\frac{295}{3136}\right)\)
\(\chi_{790272}(17,\cdot)\)	790272.bcz	2352	no	\(1\)	\(1\)	\(e\left(\frac{949}{2352}\right)\)	\(e\left(\frac{881}{2352}\right)\)	\(e\left(\frac{625}{784}\right)\)	\(e\left(\frac{515}{588}\right)\)	\(e\left(\frac{43}{48}\right)\)	\(e\left(\frac{671}{1176}\right)\)	\(e\left(\frac{949}{1176}\right)\)	\(e\left(\frac{549}{784}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{541}{2352}\right)\)
\(\chi_{790272}(19,\cdot)\)	790272.rv	192	no	\(1\)	\(1\)	\(e\left(\frac{101}{192}\right)\)	\(e\left(\frac{73}{192}\right)\)	\(e\left(\frac{25}{64}\right)\)	\(e\left(\frac{43}{48}\right)\)	\(e\left(\frac{179}{192}\right)\)	\(e\left(\frac{19}{96}\right)\)	\(e\left(\frac{5}{96}\right)\)	\(e\left(\frac{13}{64}\right)\)	\(e\left(\frac{5}{24}\right)\)	\(e\left(\frac{125}{192}\right)\)
\(\chi_{790272}(23,\cdot)\)	790272.bfa	4704	no	\(1\)	\(1\)	\(e\left(\frac{2645}{4704}\right)\)	\(e\left(\frac{4489}{4704}\right)\)	\(e\left(\frac{4363}{4704}\right)\)	\(e\left(\frac{671}{1176}\right)\)	\(e\left(\frac{19}{96}\right)\)	\(e\left(\frac{499}{2352}\right)\)	\(e\left(\frac{293}{2352}\right)\)	\(e\left(\frac{4343}{4704}\right)\)	\(e\left(\frac{3}{28}\right)\)	\(e\left(\frac{3517}{4704}\right)\)
\(\chi_{790272}(25,\cdot)\)	790272.beu	4704	no	\(1\)	\(1\)	\(e\left(\frac{403}{4704}\right)\)	\(e\left(\frac{1679}{4704}\right)\)	\(e\left(\frac{125}{4704}\right)\)	\(e\left(\frac{949}{1176}\right)\)	\(e\left(\frac{5}{96}\right)\)	\(e\left(\frac{293}{2352}\right)\)	\(e\left(\frac{403}{2352}\right)\)	\(e\left(\frac{2305}{4704}\right)\)	\(e\left(\frac{23}{28}\right)\)	\(e\left(\frac{1787}{4704}\right)\)
\(\chi_{790272}(29,\cdot)\)	790272.bgh	9408	yes	\(-1\)	\(1\)	\(e\left(\frac{2305}{9408}\right)\)	\(e\left(\frac{7829}{9408}\right)\)	\(e\left(\frac{6415}{9408}\right)\)	\(e\left(\frac{549}{784}\right)\)	\(e\left(\frac{13}{64}\right)\)	\(e\left(\frac{4343}{4704}\right)\)	\(e\left(\frac{2305}{4704}\right)\)	\(e\left(\frac{3515}{9408}\right)\)	\(e\left(\frac{143}{168}\right)\)	\(e\left(\frac{1363}{3136}\right)\)
\(\chi_{790272}(31,\cdot)\)	790272.qh	168	no	\(1\)	\(1\)	\(e\left(\frac{51}{56}\right)\)	\(e\left(\frac{31}{56}\right)\)	\(e\left(\frac{79}{168}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{5}{24}\right)\)	\(e\left(\frac{3}{28}\right)\)	\(e\left(\frac{23}{28}\right)\)	\(e\left(\frac{143}{168}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{101}{168}\right)\)
\(\chi_{790272}(37,\cdot)\)	790272.bfs	9408	no	\(1\)	\(1\)	\(e\left(\frac{6491}{9408}\right)\)	\(e\left(\frac{5239}{9408}\right)\)	\(e\left(\frac{295}{3136}\right)\)	\(e\left(\frac{541}{2352}\right)\)	\(e\left(\frac{125}{192}\right)\)	\(e\left(\frac{3517}{4704}\right)\)	\(e\left(\frac{1787}{4704}\right)\)	\(e\left(\frac{1363}{3136}\right)\)	\(e\left(\frac{101}{168}\right)\)	\(e\left(\frac{3683}{9408}\right)\)
\(\chi_{790272}(41,\cdot)\)	790272.beh	4704	no	\(1\)	\(1\)	\(e\left(\frac{877}{4704}\right)\)	\(e\left(\frac{3041}{4704}\right)\)	\(e\left(\frac{2803}{4704}\right)\)	\(e\left(\frac{73}{392}\right)\)	\(e\left(\frac{25}{32}\right)\)	\(e\left(\frac{1907}{2352}\right)\)	\(e\left(\frac{877}{2352}\right)\)	\(e\left(\frac{4271}{4704}\right)\)	\(e\left(\frac{17}{84}\right)\)	\(e\left(\frac{439}{1568}\right)\)
\(\chi_{790272}(43,\cdot)\)	790272.bfm	9408	yes	\(-1\)	\(1\)	\(e\left(\frac{8263}{9408}\right)\)	\(e\left(\frac{4019}{9408}\right)\)	\(e\left(\frac{8905}{9408}\right)\)	\(e\left(\frac{155}{784}\right)\)	\(e\left(\frac{27}{64}\right)\)	\(e\left(\frac{2465}{4704}\right)\)	\(e\left(\frac{3559}{4704}\right)\)	\(e\left(\frac{5213}{9408}\right)\)	\(e\left(\frac{29}{168}\right)\)	\(e\left(\frac{1061}{3136}\right)\)
\(\chi_{790272}(47,\cdot)\)	790272.bcu	2352	no	\(-1\)	\(1\)	\(e\left(\frac{571}{784}\right)\)	\(e\left(\frac{167}{784}\right)\)	\(e\left(\frac{151}{2352}\right)\)	\(e\left(\frac{19}{588}\right)\)	\(e\left(\frac{23}{48}\right)\)	\(e\left(\frac{349}{392}\right)\)	\(e\left(\frac{179}{392}\right)\)	\(e\left(\frac{1091}{2352}\right)\)	\(e\left(\frac{25}{42}\right)\)	\(e\left(\frac{713}{2352}\right)\)
\(\chi_{790272}(53,\cdot)\)	790272.bft	9408	no	\(-1\)	\(1\)	\(e\left(\frac{5311}{9408}\right)\)	\(e\left(\frac{2027}{9408}\right)\)	\(e\left(\frac{1147}{3136}\right)\)	\(e\left(\frac{1265}{2352}\right)\)	\(e\left(\frac{25}{192}\right)\)	\(e\left(\frac{809}{4704}\right)\)	\(e\left(\frac{607}{4704}\right)\)	\(e\left(\frac{2711}{3136}\right)\)	\(e\left(\frac{25}{168}\right)\)	\(e\left(\frac{4423}{9408}\right)\)
\(\chi_{790272}(55,\cdot)\)	790272.bcc	1568	no	\(1\)	\(1\)	\(e\left(\frac{1131}{1568}\right)\)	\(e\left(\frac{615}{1568}\right)\)	\(e\left(\frac{1413}{1568}\right)\)	\(e\left(\frac{305}{392}\right)\)	\(e\left(\frac{29}{32}\right)\)	\(e\left(\frac{405}{784}\right)\)	\(e\left(\frac{347}{784}\right)\)	\(e\left(\frac{121}{1568}\right)\)	\(e\left(\frac{13}{28}\right)\)	\(e\left(\frac{387}{1568}\right)\)
\(\chi_{790272}(59,\cdot)\)	790272.bfh	9408	yes	\(-1\)	\(1\)	\(e\left(\frac{2241}{3136}\right)\)	\(e\left(\frac{341}{3136}\right)\)	\(e\left(\frac{7085}{9408}\right)\)	\(e\left(\frac{101}{2352}\right)\)	\(e\left(\frac{85}{192}\right)\)	\(e\left(\frac{999}{1568}\right)\)	\(e\left(\frac{673}{1568}\right)\)	\(e\left(\frac{5521}{9408}\right)\)	\(e\left(\frac{29}{168}\right)\)	\(e\left(\frac{8587}{9408}\right)\)
\(\chi_{790272}(61,\cdot)\)	790272.bfc	9408	yes	\(-1\)	\(1\)	\(e\left(\frac{1795}{3136}\right)\)	\(e\left(\frac{3039}{3136}\right)\)	\(e\left(\frac{2215}{9408}\right)\)	\(e\left(\frac{1591}{2352}\right)\)	\(e\left(\frac{191}{192}\right)\)	\(e\left(\frac{309}{1568}\right)\)	\(e\left(\frac{227}{1568}\right)\)	\(e\left(\frac{1331}{9408}\right)\)	\(e\left(\frac{115}{168}\right)\)	\(e\left(\frac{5825}{9408}\right)\)
\(\chi_{790272}(65,\cdot)\)	790272.xu	588	no	\(-1\)	\(1\)	\(e\left(\frac{109}{196}\right)\)	\(e\left(\frac{13}{196}\right)\)	\(e\left(\frac{571}{588}\right)\)	\(e\left(\frac{59}{294}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{24}{49}\right)\)	\(e\left(\frac{11}{98}\right)\)	\(e\left(\frac{545}{588}\right)\)	\(e\left(\frac{8}{21}\right)\)	\(e\left(\frac{461}{588}\right)\)
\(\chi_{790272}(67,\cdot)\)	790272.bav	1344	no	\(-1\)	\(1\)	\(e\left(\frac{229}{448}\right)\)	\(e\left(\frac{361}{448}\right)\)	\(e\left(\frac{929}{1344}\right)\)	\(e\left(\frac{281}{336}\right)\)	\(e\left(\frac{31}{192}\right)\)	\(e\left(\frac{179}{224}\right)\)	\(e\left(\frac{5}{224}\right)\)	\(e\left(\frac{277}{1344}\right)\)	\(e\left(\frac{5}{24}\right)\)	\(e\left(\frac{151}{1344}\right)\)
\(\chi_{790272}(71,\cdot)\)	790272.bcb	1568	no	\(1\)	\(1\)	\(e\left(\frac{653}{1568}\right)\)	\(e\left(\frac{353}{1568}\right)\)	\(e\left(\frac{115}{1568}\right)\)	\(e\left(\frac{191}{392}\right)\)	\(e\left(\frac{27}{32}\right)\)	\(e\left(\frac{395}{784}\right)\)	\(e\left(\frac{653}{784}\right)\)	\(e\left(\frac{1023}{1568}\right)\)	\(e\left(\frac{17}{28}\right)\)	\(e\left(\frac{1205}{1568}\right)\)
\(\chi_{790272}(73,\cdot)\)	790272.bet	4704	no	\(-1\)	\(1\)	\(e\left(\frac{2993}{4704}\right)\)	\(e\left(\frac{2869}{4704}\right)\)	\(e\left(\frac{373}{1568}\right)\)	\(e\left(\frac{403}{1176}\right)\)	\(e\left(\frac{23}{96}\right)\)	\(e\left(\frac{2071}{2352}\right)\)	\(e\left(\frac{641}{2352}\right)\)	\(e\left(\frac{73}{1568}\right)\)	\(e\left(\frac{41}{84}\right)\)	\(e\left(\frac{4601}{4704}\right)\)
\(\chi_{790272}(79,\cdot)\)	790272.vm	336	no	\(-1\)	\(1\)	\(e\left(\frac{75}{112}\right)\)	\(e\left(\frac{95}{112}\right)\)	\(e\left(\frac{271}{336}\right)\)	\(e\left(\frac{43}{84}\right)\)	\(e\left(\frac{41}{48}\right)\)	\(e\left(\frac{25}{56}\right)\)	\(e\left(\frac{19}{56}\right)\)	\(e\left(\frac{11}{336}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{137}{336}\right)\)
\(\chi_{790272}(83,\cdot)\)	790272.bfl	9408	yes	\(-1\)	\(1\)	\(e\left(\frac{1765}{9408}\right)\)	\(e\left(\frac{1097}{9408}\right)\)	\(e\left(\frac{9259}{9408}\right)\)	\(e\left(\frac{593}{784}\right)\)	\(e\left(\frac{1}{64}\right)\)	\(e\left(\frac{2147}{4704}\right)\)	\(e\left(\frac{1765}{4704}\right)\)	\(e\left(\frac{4967}{9408}\right)\)	\(e\left(\frac{131}{168}\right)\)	\(e\left(\frac{2911}{3136}\right)\)
\(\chi_{790272}(85,\cdot)\)	790272.bgg	9408	yes	\(1\)	\(1\)	\(e\left(\frac{4199}{9408}\right)\)	\(e\left(\frac{499}{9408}\right)\)	\(e\left(\frac{2921}{9408}\right)\)	\(e\left(\frac{219}{784}\right)\)	\(e\left(\frac{27}{64}\right)\)	\(e\left(\frac{625}{4704}\right)\)	\(e\left(\frac{4199}{4704}\right)\)	\(e\left(\frac{8893}{9408}\right)\)	\(e\left(\frac{121}{168}\right)\)	\(e\left(\frac{2885}{3136}\right)\)
\(\chi_{790272}(89,\cdot)\)	790272.ber	4704	no	\(1\)	\(1\)	\(e\left(\frac{571}{4704}\right)\)	\(e\left(\frac{167}{4704}\right)\)	\(e\left(\frac{1367}{1568}\right)\)	\(e\left(\frac{725}{1176}\right)\)	\(e\left(\frac{13}{96}\right)\)	\(e\left(\frac{2309}{2352}\right)\)	\(e\left(\frac{571}{2352}\right)\)	\(e\left(\frac{1123}{1568}\right)\)	\(e\left(\frac{55}{84}\right)\)	\(e\left(\frac{2851}{4704}\right)\)
\(\chi_{790272}(95,\cdot)\)	790272.bad	1176	no	\(1\)	\(1\)	\(e\left(\frac{223}{392}\right)\)	\(e\left(\frac{23}{392}\right)\)	\(e\left(\frac{1063}{1176}\right)\)	\(e\left(\frac{44}{147}\right)\)	\(e\left(\frac{11}{24}\right)\)	\(e\left(\frac{149}{196}\right)\)	\(e\left(\frac{27}{196}\right)\)	\(e\left(\frac{527}{1176}\right)\)	\(e\left(\frac{5}{42}\right)\)	\(e\left(\frac{401}{1176}\right)\)
\(\chi_{790272}(97,\cdot)\)	790272.pr	168	no	\(-1\)	\(1\)	\(e\left(\frac{125}{168}\right)\)	\(e\left(\frac{37}{168}\right)\)	\(e\left(\frac{107}{168}\right)\)	\(e\left(\frac{1}{7}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{79}{84}\right)\)	\(e\left(\frac{41}{84}\right)\)	\(e\left(\frac{115}{168}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{43}{56}\right)\)
\(\chi_{790272}(101,\cdot)\)	790272.bfu	9408	yes	\(1\)	\(1\)	\(e\left(\frac{6059}{9408}\right)\)	\(e\left(\frac{6439}{9408}\right)\)	\(e\left(\frac{7237}{9408}\right)\)	\(e\left(\frac{1901}{2352}\right)\)	\(e\left(\frac{13}{192}\right)\)	\(e\left(\frac{349}{4704}\right)\)	\(e\left(\frac{1355}{4704}\right)\)	\(e\left(\frac{4937}{9408}\right)\)	\(e\left(\frac{51}{56}\right)\)	\(e\left(\frac{499}{9408}\right)\)
\(\chi_{790272}(103,\cdot)\)	790272.bez	4704	no	\(1\)	\(1\)	\(e\left(\frac{947}{4704}\right)\)	\(e\left(\frac{1039}{4704}\right)\)	\(e\left(\frac{2173}{4704}\right)\)	\(e\left(\frac{1073}{1176}\right)\)	\(e\left(\frac{85}{96}\right)\)	\(e\left(\frac{493}{2352}\right)\)	\(e\left(\frac{947}{2352}\right)\)	\(e\left(\frac{3473}{4704}\right)\)	\(e\left(\frac{15}{28}\right)\)	\(e\left(\frac{715}{4704}\right)\)
\(\chi_{790272}(107,\cdot)\)	790272.bgb	9408	no	\(1\)	\(1\)	\(e\left(\frac{7127}{9408}\right)\)	\(e\left(\frac{9091}{9408}\right)\)	\(e\left(\frac{2419}{3136}\right)\)	\(e\left(\frac{1849}{2352}\right)\)	\(e\left(\frac{161}{192}\right)\)	\(e\left(\frac{2497}{4704}\right)\)	\(e\left(\frac{2423}{4704}\right)\)	\(e\left(\frac{1455}{3136}\right)\)	\(e\left(\frac{5}{168}\right)\)	\(e\left(\frac{95}{9408}\right)\)
\(\chi_{790272}(109,\cdot)\)	790272.bfs	9408	no	\(1\)	\(1\)	\(e\left(\frac{7573}{9408}\right)\)	\(e\left(\frac{3257}{9408}\right)\)	\(e\left(\frac{521}{3136}\right)\)	\(e\left(\frac{1091}{2352}\right)\)	\(e\left(\frac{19}{192}\right)\)	\(e\left(\frac{1619}{4704}\right)\)	\(e\left(\frac{2869}{4704}\right)\)	\(e\left(\frac{2269}{3136}\right)\)	\(e\left(\frac{163}{168}\right)\)	\(e\left(\frac{5197}{9408}\right)\)

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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.