LMFDB - Group of Dirichlet characters of modulus 26244

Show commands: PariGP / SageMath

sage: H = DirichletGroup(26244)

pari: g = idealstar(,26244,2)

Character group

sage: G.order() pari: g.no
Order	=	8748
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{4374}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{26244}(13123,\cdot)$, $\chi_{26244}(19685,\cdot)$

First 32 of 8748 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	$-1$	$1$	$5$	$7$	$11$	$13$	$17$	$19$	$23$	$25$	$29$	$31$
$\chi_{26244}(1,\cdot)$	26244.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{26244}(5,\cdot)$	26244.be	4374	no	$-1$	$1$	$e\left(\frac{2959}{4374}\right)$	$e\left(\frac{1372}{2187}\right)$	$e\left(\frac{2621}{4374}\right)$	$e\left(\frac{2117}{2187}\right)$	$e\left(\frac{1225}{1458}\right)$	$e\left(\frac{247}{729}\right)$	$e\left(\frac{3115}{4374}\right)$	$e\left(\frac{772}{2187}\right)$	$e\left(\frac{3119}{4374}\right)$	$e\left(\frac{311}{2187}\right)$
$\chi_{26244}(7,\cdot)$	26244.bd	4374	yes	$-1$	$1$	$e\left(\frac{1372}{2187}\right)$	$e\left(\frac{2875}{4374}\right)$	$e\left(\frac{3367}{4374}\right)$	$e\left(\frac{1009}{2187}\right)$	$e\left(\frac{466}{729}\right)$	$e\left(\frac{211}{1458}\right)$	$e\left(\frac{4307}{4374}\right)$	$e\left(\frac{557}{2187}\right)$	$e\left(\frac{1781}{2187}\right)$	$e\left(\frac{1157}{4374}\right)$
$\chi_{26244}(11,\cdot)$	26244.bf	4374	yes	$1$	$1$	$e\left(\frac{2621}{4374}\right)$	$e\left(\frac{3367}{4374}\right)$	$e\left(\frac{71}{2187}\right)$	$e\left(\frac{2023}{2187}\right)$	$e\left(\frac{683}{1458}\right)$	$e\left(\frac{595}{1458}\right)$	$e\left(\frac{1462}{2187}\right)$	$e\left(\frac{434}{2187}\right)$	$e\left(\frac{2371}{4374}\right)$	$e\left(\frac{395}{4374}\right)$
$\chi_{26244}(13,\cdot)$	26244.bc	2187	no	$1$	$1$	$e\left(\frac{2117}{2187}\right)$	$e\left(\frac{1009}{2187}\right)$	$e\left(\frac{2023}{2187}\right)$	$e\left(\frac{194}{2187}\right)$	$e\left(\frac{125}{729}\right)$	$e\left(\frac{586}{729}\right)$	$e\left(\frac{1151}{2187}\right)$	$e\left(\frac{2047}{2187}\right)$	$e\left(\frac{958}{2187}\right)$	$e\left(\frac{1700}{2187}\right)$
$\chi_{26244}(17,\cdot)$	26244.ba	1458	no	$-1$	$1$	$e\left(\frac{1225}{1458}\right)$	$e\left(\frac{466}{729}\right)$	$e\left(\frac{683}{1458}\right)$	$e\left(\frac{125}{729}\right)$	$e\left(\frac{121}{486}\right)$	$e\left(\frac{97}{243}\right)$	$e\left(\frac{1363}{1458}\right)$	$e\left(\frac{496}{729}\right)$	$e\left(\frac{731}{1458}\right)$	$e\left(\frac{434}{729}\right)$
$\chi_{26244}(19,\cdot)$	26244.z	1458	no	$-1$	$1$	$e\left(\frac{247}{729}\right)$	$e\left(\frac{211}{1458}\right)$	$e\left(\frac{595}{1458}\right)$	$e\left(\frac{586}{729}\right)$	$e\left(\frac{97}{243}\right)$	$e\left(\frac{301}{486}\right)$	$e\left(\frac{167}{1458}\right)$	$e\left(\frac{494}{729}\right)$	$e\left(\frac{98}{729}\right)$	$e\left(\frac{1229}{1458}\right)$
$\chi_{26244}(23,\cdot)$	26244.bf	4374	yes	$1$	$1$	$e\left(\frac{3115}{4374}\right)$	$e\left(\frac{4307}{4374}\right)$	$e\left(\frac{1462}{2187}\right)$	$e\left(\frac{1151}{2187}\right)$	$e\left(\frac{1363}{1458}\right)$	$e\left(\frac{167}{1458}\right)$	$e\left(\frac{1181}{2187}\right)$	$e\left(\frac{928}{2187}\right)$	$e\left(\frac{1109}{4374}\right)$	$e\left(\frac{895}{4374}\right)$
$\chi_{26244}(25,\cdot)$	26244.bc	2187	no	$1$	$1$	$e\left(\frac{772}{2187}\right)$	$e\left(\frac{557}{2187}\right)$	$e\left(\frac{434}{2187}\right)$	$e\left(\frac{2047}{2187}\right)$	$e\left(\frac{496}{729}\right)$	$e\left(\frac{494}{729}\right)$	$e\left(\frac{928}{2187}\right)$	$e\left(\frac{1544}{2187}\right)$	$e\left(\frac{932}{2187}\right)$	$e\left(\frac{622}{2187}\right)$
$\chi_{26244}(29,\cdot)$	26244.be	4374	no	$-1$	$1$	$e\left(\frac{3119}{4374}\right)$	$e\left(\frac{1781}{2187}\right)$	$e\left(\frac{2371}{4374}\right)$	$e\left(\frac{958}{2187}\right)$	$e\left(\frac{731}{1458}\right)$	$e\left(\frac{98}{729}\right)$	$e\left(\frac{1109}{4374}\right)$	$e\left(\frac{932}{2187}\right)$	$e\left(\frac{2179}{4374}\right)$	$e\left(\frac{1180}{2187}\right)$
$\chi_{26244}(31,\cdot)$	26244.bd	4374	yes	$-1$	$1$	$e\left(\frac{311}{2187}\right)$	$e\left(\frac{1157}{4374}\right)$	$e\left(\frac{395}{4374}\right)$	$e\left(\frac{1700}{2187}\right)$	$e\left(\frac{434}{729}\right)$	$e\left(\frac{1229}{1458}\right)$	$e\left(\frac{895}{4374}\right)$	$e\left(\frac{622}{2187}\right)$	$e\left(\frac{1180}{2187}\right)$	$e\left(\frac{1453}{4374}\right)$
$\chi_{26244}(35,\cdot)$	26244.bb	1458	no	$1$	$1$	$e\left(\frac{443}{1458}\right)$	$e\left(\frac{415}{1458}\right)$	$e\left(\frac{269}{729}\right)$	$e\left(\frac{313}{729}\right)$	$e\left(\frac{233}{486}\right)$	$e\left(\frac{235}{486}\right)$	$e\left(\frac{508}{729}\right)$	$e\left(\frac{443}{729}\right)$	$e\left(\frac{769}{1458}\right)$	$e\left(\frac{593}{1458}\right)$
$\chi_{26244}(37,\cdot)$	26244.y	729	no	$1$	$1$	$e\left(\frac{665}{729}\right)$	$e\left(\frac{256}{729}\right)$	$e\left(\frac{100}{729}\right)$	$e\left(\frac{344}{729}\right)$	$e\left(\frac{149}{243}\right)$	$e\left(\frac{22}{243}\right)$	$e\left(\frac{365}{729}\right)$	$e\left(\frac{601}{729}\right)$	$e\left(\frac{376}{729}\right)$	$e\left(\frac{617}{729}\right)$
$\chi_{26244}(41,\cdot)$	26244.be	4374	no	$-1$	$1$	$e\left(\frac{85}{4374}\right)$	$e\left(\frac{559}{2187}\right)$	$e\left(\frac{3011}{4374}\right)$	$e\left(\frac{1913}{2187}\right)$	$e\left(\frac{421}{1458}\right)$	$e\left(\frac{217}{729}\right)$	$e\left(\frac{3445}{4374}\right)$	$e\left(\frac{85}{2187}\right)$	$e\left(\frac{1961}{4374}\right)$	$e\left(\frac{530}{2187}\right)$
$\chi_{26244}(43,\cdot)$	26244.bd	4374	yes	$-1$	$1$	$e\left(\frac{1819}{2187}\right)$	$e\left(\frac{3673}{4374}\right)$	$e\left(\frac{3337}{4374}\right)$	$e\left(\frac{520}{2187}\right)$	$e\left(\frac{553}{729}\right)$	$e\left(\frac{1225}{1458}\right)$	$e\left(\frac{917}{4374}\right)$	$e\left(\frac{1451}{2187}\right)$	$e\left(\frac{2162}{2187}\right)$	$e\left(\frac{3815}{4374}\right)$
$\chi_{26244}(47,\cdot)$	26244.bf	4374	yes	$1$	$1$	$e\left(\frac{3995}{4374}\right)$	$e\left(\frac{2245}{4374}\right)$	$e\left(\frac{1868}{2187}\right)$	$e\left(\frac{244}{2187}\right)$	$e\left(\frac{833}{1458}\right)$	$e\left(\frac{715}{1458}\right)$	$e\left(\frac{1132}{2187}\right)$	$e\left(\frac{1808}{2187}\right)$	$e\left(\frac{313}{4374}\right)$	$e\left(\frac{3893}{4374}\right)$
$\chi_{26244}(49,\cdot)$	26244.bc	2187	no	$1$	$1$	$e\left(\frac{557}{2187}\right)$	$e\left(\frac{688}{2187}\right)$	$e\left(\frac{1180}{2187}\right)$	$e\left(\frac{2018}{2187}\right)$	$e\left(\frac{203}{729}\right)$	$e\left(\frac{211}{729}\right)$	$e\left(\frac{2120}{2187}\right)$	$e\left(\frac{1114}{2187}\right)$	$e\left(\frac{1375}{2187}\right)$	$e\left(\frac{1157}{2187}\right)$
$\chi_{26244}(53,\cdot)$	26244.w	486	no	$-1$	$1$	$e\left(\frac{163}{486}\right)$	$e\left(\frac{160}{243}\right)$	$e\left(\frac{125}{486}\right)$	$e\left(\frac{215}{243}\right)$	$e\left(\frac{85}{162}\right)$	$e\left(\frac{34}{81}\right)$	$e\left(\frac{31}{486}\right)$	$e\left(\frac{163}{243}\right)$	$e\left(\frac{227}{486}\right)$	$e\left(\frac{173}{243}\right)$
$\chi_{26244}(55,\cdot)$	26244.v	486	no	$-1$	$1$	$e\left(\frac{67}{243}\right)$	$e\left(\frac{193}{486}\right)$	$e\left(\frac{307}{486}\right)$	$e\left(\frac{217}{243}\right)$	$e\left(\frac{25}{81}\right)$	$e\left(\frac{121}{162}\right)$	$e\left(\frac{185}{486}\right)$	$e\left(\frac{134}{243}\right)$	$e\left(\frac{62}{243}\right)$	$e\left(\frac{113}{486}\right)$
$\chi_{26244}(59,\cdot)$	26244.bf	4374	yes	$1$	$1$	$e\left(\frac{187}{4374}\right)$	$e\left(\frac{2897}{4374}\right)$	$e\left(\frac{469}{2187}\right)$	$e\left(\frac{272}{2187}\right)$	$e\left(\frac{343}{1458}\right)$	$e\left(\frac{809}{1458}\right)$	$e\left(\frac{509}{2187}\right)$	$e\left(\frac{187}{2187}\right)$	$e\left(\frac{815}{4374}\right)$	$e\left(\frac{145}{4374}\right)$
$\chi_{26244}(61,\cdot)$	26244.bc	2187	no	$1$	$1$	$e\left(\frac{1354}{2187}\right)$	$e\left(\frac{416}{2187}\right)$	$e\left(\frac{1985}{2187}\right)$	$e\left(\frac{559}{2187}\right)$	$e\left(\frac{394}{729}\right)$	$e\left(\frac{704}{729}\right)$	$e\left(\frac{1231}{2187}\right)$	$e\left(\frac{521}{2187}\right)$	$e\left(\frac{1340}{2187}\right)$	$e\left(\frac{547}{2187}\right)$
$\chi_{26244}(65,\cdot)$	26244.be	4374	no	$-1$	$1$	$e\left(\frac{2819}{4374}\right)$	$e\left(\frac{194}{2187}\right)$	$e\left(\frac{2293}{4374}\right)$	$e\left(\frac{124}{2187}\right)$	$e\left(\frac{17}{1458}\right)$	$e\left(\frac{104}{729}\right)$	$e\left(\frac{1043}{4374}\right)$	$e\left(\frac{632}{2187}\right)$	$e\left(\frac{661}{4374}\right)$	$e\left(\frac{2011}{2187}\right)$
$\chi_{26244}(67,\cdot)$	26244.bd	4374	yes	$-1$	$1$	$e\left(\frac{1883}{2187}\right)$	$e\left(\frac{1703}{4374}\right)$	$e\left(\frac{3137}{4374}\right)$	$e\left(\frac{905}{2187}\right)$	$e\left(\frac{647}{729}\right)$	$e\left(\frac{695}{1458}\right)$	$e\left(\frac{187}{4374}\right)$	$e\left(\frac{1579}{2187}\right)$	$e\left(\frac{1786}{2187}\right)$	$e\left(\frac{2581}{4374}\right)$
$\chi_{26244}(71,\cdot)$	26244.bb	1458	no	$1$	$1$	$e\left(\frac{553}{1458}\right)$	$e\left(\frac{1433}{1458}\right)$	$e\left(\frac{502}{729}\right)$	$e\left(\frac{473}{729}\right)$	$e\left(\frac{349}{486}\right)$	$e\left(\frac{425}{486}\right)$	$e\left(\frac{593}{729}\right)$	$e\left(\frac{553}{729}\right)$	$e\left(\frac{305}{1458}\right)$	$e\left(\frac{421}{1458}\right)$
$\chi_{26244}(73,\cdot)$	26244.y	729	no	$1$	$1$	$e\left(\frac{718}{729}\right)$	$e\left(\frac{44}{729}\right)$	$e\left(\frac{245}{729}\right)$	$e\left(\frac{697}{729}\right)$	$e\left(\frac{37}{243}\right)$	$e\left(\frac{224}{243}\right)$	$e\left(\frac{712}{729}\right)$	$e\left(\frac{707}{729}\right)$	$e\left(\frac{338}{729}\right)$	$e\left(\frac{163}{729}\right)$
$\chi_{26244}(77,\cdot)$	26244.be	4374	no	$-1$	$1$	$e\left(\frac{991}{4374}\right)$	$e\left(\frac{934}{2187}\right)$	$e\left(\frac{3509}{4374}\right)$	$e\left(\frac{845}{2187}\right)$	$e\left(\frac{157}{1458}\right)$	$e\left(\frac{403}{729}\right)$	$e\left(\frac{2857}{4374}\right)$	$e\left(\frac{991}{2187}\right)$	$e\left(\frac{1559}{4374}\right)$	$e\left(\frac{776}{2187}\right)$
$\chi_{26244}(79,\cdot)$	26244.bd	4374	yes	$-1$	$1$	$e\left(\frac{592}{2187}\right)$	$e\left(\frac{367}{4374}\right)$	$e\left(\frac{337}{4374}\right)$	$e\left(\frac{1921}{2187}\right)$	$e\left(\frac{505}{729}\right)$	$e\left(\frac{565}{1458}\right)$	$e\left(\frac{3089}{4374}\right)$	$e\left(\frac{1184}{2187}\right)$	$e\left(\frac{896}{2187}\right)$	$e\left(\frac{2801}{4374}\right)$
$\chi_{26244}(83,\cdot)$	26244.bf	4374	yes	$1$	$1$	$e\left(\frac{1535}{4374}\right)$	$e\left(\frac{3337}{4374}\right)$	$e\left(\frac{236}{2187}\right)$	$e\left(\frac{841}{2187}\right)$	$e\left(\frac{227}{1458}\right)$	$e\left(\frac{1105}{1458}\right)$	$e\left(\frac{424}{2187}\right)$	$e\left(\frac{1535}{2187}\right)$	$e\left(\frac{2737}{4374}\right)$	$e\left(\frac{1775}{4374}\right)$
$\chi_{26244}(85,\cdot)$	26244.bc	2187	no	$1$	$1$	$e\left(\frac{1130}{2187}\right)$	$e\left(\frac{583}{2187}\right)$	$e\left(\frac{148}{2187}\right)$	$e\left(\frac{305}{2187}\right)$	$e\left(\frac{65}{729}\right)$	$e\left(\frac{538}{729}\right)$	$e\left(\frac{1415}{2187}\right)$	$e\left(\frac{73}{2187}\right)$	$e\left(\frac{469}{2187}\right)$	$e\left(\frac{1613}{2187}\right)$
$\chi_{26244}(89,\cdot)$	26244.ba	1458	no	$-1$	$1$	$e\left(\frac{1283}{1458}\right)$	$e\left(\frac{350}{729}\right)$	$e\left(\frac{319}{1458}\right)$	$e\left(\frac{607}{729}\right)$	$e\left(\frac{191}{486}\right)$	$e\left(\frac{125}{243}\right)$	$e\left(\frac{1055}{1458}\right)$	$e\left(\frac{554}{729}\right)$	$e\left(\frac{937}{1458}\right)$	$e\left(\frac{667}{729}\right)$
$\chi_{26244}(91,\cdot)$	26244.z	1458	no	$-1$	$1$	$e\left(\frac{434}{729}\right)$	$e\left(\frac{173}{1458}\right)$	$e\left(\frac{1013}{1458}\right)$	$e\left(\frac{401}{729}\right)$	$e\left(\frac{197}{243}\right)$	$e\left(\frac{461}{486}\right)$	$e\left(\frac{745}{1458}\right)$	$e\left(\frac{139}{729}\right)$	$e\left(\frac{184}{729}\right)$	$e\left(\frac{61}{1458}\right)$
$\chi_{26244}(95,\cdot)$	26244.bf	4374	yes	$1$	$1$	$e\left(\frac{67}{4374}\right)$	$e\left(\frac{3377}{4374}\right)$	$e\left(\frac{16}{2187}\right)$	$e\left(\frac{1688}{2187}\right)$	$e\left(\frac{349}{1458}\right)$	$e\left(\frac{1397}{1458}\right)$	$e\left(\frac{1808}{2187}\right)$	$e\left(\frac{67}{2187}\right)$	$e\left(\frac{3707}{4374}\right)$	$e\left(\frac{4309}{4374}\right)$

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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	$26244$
Structure	\(C_{2}\times C_{4374}\)
Order	$8748$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(5\)	\(7\)	\(11\)	\(13\)	\(17\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)
\(\chi_{26244}(1,\cdot)\)	26244.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{26244}(5,\cdot)\)	26244.be	4374	no	\(-1\)	\(1\)	\(e\left(\frac{2959}{4374}\right)\)	\(e\left(\frac{1372}{2187}\right)\)	\(e\left(\frac{2621}{4374}\right)\)	\(e\left(\frac{2117}{2187}\right)\)	\(e\left(\frac{1225}{1458}\right)\)	\(e\left(\frac{247}{729}\right)\)	\(e\left(\frac{3115}{4374}\right)\)	\(e\left(\frac{772}{2187}\right)\)	\(e\left(\frac{3119}{4374}\right)\)	\(e\left(\frac{311}{2187}\right)\)
\(\chi_{26244}(7,\cdot)\)	26244.bd	4374	yes	\(-1\)	\(1\)	\(e\left(\frac{1372}{2187}\right)\)	\(e\left(\frac{2875}{4374}\right)\)	\(e\left(\frac{3367}{4374}\right)\)	\(e\left(\frac{1009}{2187}\right)\)	\(e\left(\frac{466}{729}\right)\)	\(e\left(\frac{211}{1458}\right)\)	\(e\left(\frac{4307}{4374}\right)\)	\(e\left(\frac{557}{2187}\right)\)	\(e\left(\frac{1781}{2187}\right)\)	\(e\left(\frac{1157}{4374}\right)\)
\(\chi_{26244}(11,\cdot)\)	26244.bf	4374	yes	\(1\)	\(1\)	\(e\left(\frac{2621}{4374}\right)\)	\(e\left(\frac{3367}{4374}\right)\)	\(e\left(\frac{71}{2187}\right)\)	\(e\left(\frac{2023}{2187}\right)\)	\(e\left(\frac{683}{1458}\right)\)	\(e\left(\frac{595}{1458}\right)\)	\(e\left(\frac{1462}{2187}\right)\)	\(e\left(\frac{434}{2187}\right)\)	\(e\left(\frac{2371}{4374}\right)\)	\(e\left(\frac{395}{4374}\right)\)
\(\chi_{26244}(13,\cdot)\)	26244.bc	2187	no	\(1\)	\(1\)	\(e\left(\frac{2117}{2187}\right)\)	\(e\left(\frac{1009}{2187}\right)\)	\(e\left(\frac{2023}{2187}\right)\)	\(e\left(\frac{194}{2187}\right)\)	\(e\left(\frac{125}{729}\right)\)	\(e\left(\frac{586}{729}\right)\)	\(e\left(\frac{1151}{2187}\right)\)	\(e\left(\frac{2047}{2187}\right)\)	\(e\left(\frac{958}{2187}\right)\)	\(e\left(\frac{1700}{2187}\right)\)
\(\chi_{26244}(17,\cdot)\)	26244.ba	1458	no	\(-1\)	\(1\)	\(e\left(\frac{1225}{1458}\right)\)	\(e\left(\frac{466}{729}\right)\)	\(e\left(\frac{683}{1458}\right)\)	\(e\left(\frac{125}{729}\right)\)	\(e\left(\frac{121}{486}\right)\)	\(e\left(\frac{97}{243}\right)\)	\(e\left(\frac{1363}{1458}\right)\)	\(e\left(\frac{496}{729}\right)\)	\(e\left(\frac{731}{1458}\right)\)	\(e\left(\frac{434}{729}\right)\)
\(\chi_{26244}(19,\cdot)\)	26244.z	1458	no	\(-1\)	\(1\)	\(e\left(\frac{247}{729}\right)\)	\(e\left(\frac{211}{1458}\right)\)	\(e\left(\frac{595}{1458}\right)\)	\(e\left(\frac{586}{729}\right)\)	\(e\left(\frac{97}{243}\right)\)	\(e\left(\frac{301}{486}\right)\)	\(e\left(\frac{167}{1458}\right)\)	\(e\left(\frac{494}{729}\right)\)	\(e\left(\frac{98}{729}\right)\)	\(e\left(\frac{1229}{1458}\right)\)
\(\chi_{26244}(23,\cdot)\)	26244.bf	4374	yes	\(1\)	\(1\)	\(e\left(\frac{3115}{4374}\right)\)	\(e\left(\frac{4307}{4374}\right)\)	\(e\left(\frac{1462}{2187}\right)\)	\(e\left(\frac{1151}{2187}\right)\)	\(e\left(\frac{1363}{1458}\right)\)	\(e\left(\frac{167}{1458}\right)\)	\(e\left(\frac{1181}{2187}\right)\)	\(e\left(\frac{928}{2187}\right)\)	\(e\left(\frac{1109}{4374}\right)\)	\(e\left(\frac{895}{4374}\right)\)
\(\chi_{26244}(25,\cdot)\)	26244.bc	2187	no	\(1\)	\(1\)	\(e\left(\frac{772}{2187}\right)\)	\(e\left(\frac{557}{2187}\right)\)	\(e\left(\frac{434}{2187}\right)\)	\(e\left(\frac{2047}{2187}\right)\)	\(e\left(\frac{496}{729}\right)\)	\(e\left(\frac{494}{729}\right)\)	\(e\left(\frac{928}{2187}\right)\)	\(e\left(\frac{1544}{2187}\right)\)	\(e\left(\frac{932}{2187}\right)\)	\(e\left(\frac{622}{2187}\right)\)
\(\chi_{26244}(29,\cdot)\)	26244.be	4374	no	\(-1\)	\(1\)	\(e\left(\frac{3119}{4374}\right)\)	\(e\left(\frac{1781}{2187}\right)\)	\(e\left(\frac{2371}{4374}\right)\)	\(e\left(\frac{958}{2187}\right)\)	\(e\left(\frac{731}{1458}\right)\)	\(e\left(\frac{98}{729}\right)\)	\(e\left(\frac{1109}{4374}\right)\)	\(e\left(\frac{932}{2187}\right)\)	\(e\left(\frac{2179}{4374}\right)\)	\(e\left(\frac{1180}{2187}\right)\)
\(\chi_{26244}(31,\cdot)\)	26244.bd	4374	yes	\(-1\)	\(1\)	\(e\left(\frac{311}{2187}\right)\)	\(e\left(\frac{1157}{4374}\right)\)	\(e\left(\frac{395}{4374}\right)\)	\(e\left(\frac{1700}{2187}\right)\)	\(e\left(\frac{434}{729}\right)\)	\(e\left(\frac{1229}{1458}\right)\)	\(e\left(\frac{895}{4374}\right)\)	\(e\left(\frac{622}{2187}\right)\)	\(e\left(\frac{1180}{2187}\right)\)	\(e\left(\frac{1453}{4374}\right)\)
\(\chi_{26244}(35,\cdot)\)	26244.bb	1458	no	\(1\)	\(1\)	\(e\left(\frac{443}{1458}\right)\)	\(e\left(\frac{415}{1458}\right)\)	\(e\left(\frac{269}{729}\right)\)	\(e\left(\frac{313}{729}\right)\)	\(e\left(\frac{233}{486}\right)\)	\(e\left(\frac{235}{486}\right)\)	\(e\left(\frac{508}{729}\right)\)	\(e\left(\frac{443}{729}\right)\)	\(e\left(\frac{769}{1458}\right)\)	\(e\left(\frac{593}{1458}\right)\)
\(\chi_{26244}(37,\cdot)\)	26244.y	729	no	\(1\)	\(1\)	\(e\left(\frac{665}{729}\right)\)	\(e\left(\frac{256}{729}\right)\)	\(e\left(\frac{100}{729}\right)\)	\(e\left(\frac{344}{729}\right)\)	\(e\left(\frac{149}{243}\right)\)	\(e\left(\frac{22}{243}\right)\)	\(e\left(\frac{365}{729}\right)\)	\(e\left(\frac{601}{729}\right)\)	\(e\left(\frac{376}{729}\right)\)	\(e\left(\frac{617}{729}\right)\)
\(\chi_{26244}(41,\cdot)\)	26244.be	4374	no	\(-1\)	\(1\)	\(e\left(\frac{85}{4374}\right)\)	\(e\left(\frac{559}{2187}\right)\)	\(e\left(\frac{3011}{4374}\right)\)	\(e\left(\frac{1913}{2187}\right)\)	\(e\left(\frac{421}{1458}\right)\)	\(e\left(\frac{217}{729}\right)\)	\(e\left(\frac{3445}{4374}\right)\)	\(e\left(\frac{85}{2187}\right)\)	\(e\left(\frac{1961}{4374}\right)\)	\(e\left(\frac{530}{2187}\right)\)
\(\chi_{26244}(43,\cdot)\)	26244.bd	4374	yes	\(-1\)	\(1\)	\(e\left(\frac{1819}{2187}\right)\)	\(e\left(\frac{3673}{4374}\right)\)	\(e\left(\frac{3337}{4374}\right)\)	\(e\left(\frac{520}{2187}\right)\)	\(e\left(\frac{553}{729}\right)\)	\(e\left(\frac{1225}{1458}\right)\)	\(e\left(\frac{917}{4374}\right)\)	\(e\left(\frac{1451}{2187}\right)\)	\(e\left(\frac{2162}{2187}\right)\)	\(e\left(\frac{3815}{4374}\right)\)
\(\chi_{26244}(47,\cdot)\)	26244.bf	4374	yes	\(1\)	\(1\)	\(e\left(\frac{3995}{4374}\right)\)	\(e\left(\frac{2245}{4374}\right)\)	\(e\left(\frac{1868}{2187}\right)\)	\(e\left(\frac{244}{2187}\right)\)	\(e\left(\frac{833}{1458}\right)\)	\(e\left(\frac{715}{1458}\right)\)	\(e\left(\frac{1132}{2187}\right)\)	\(e\left(\frac{1808}{2187}\right)\)	\(e\left(\frac{313}{4374}\right)\)	\(e\left(\frac{3893}{4374}\right)\)
\(\chi_{26244}(49,\cdot)\)	26244.bc	2187	no	\(1\)	\(1\)	\(e\left(\frac{557}{2187}\right)\)	\(e\left(\frac{688}{2187}\right)\)	\(e\left(\frac{1180}{2187}\right)\)	\(e\left(\frac{2018}{2187}\right)\)	\(e\left(\frac{203}{729}\right)\)	\(e\left(\frac{211}{729}\right)\)	\(e\left(\frac{2120}{2187}\right)\)	\(e\left(\frac{1114}{2187}\right)\)	\(e\left(\frac{1375}{2187}\right)\)	\(e\left(\frac{1157}{2187}\right)\)
\(\chi_{26244}(53,\cdot)\)	26244.w	486	no	\(-1\)	\(1\)	\(e\left(\frac{163}{486}\right)\)	\(e\left(\frac{160}{243}\right)\)	\(e\left(\frac{125}{486}\right)\)	\(e\left(\frac{215}{243}\right)\)	\(e\left(\frac{85}{162}\right)\)	\(e\left(\frac{34}{81}\right)\)	\(e\left(\frac{31}{486}\right)\)	\(e\left(\frac{163}{243}\right)\)	\(e\left(\frac{227}{486}\right)\)	\(e\left(\frac{173}{243}\right)\)
\(\chi_{26244}(55,\cdot)\)	26244.v	486	no	\(-1\)	\(1\)	\(e\left(\frac{67}{243}\right)\)	\(e\left(\frac{193}{486}\right)\)	\(e\left(\frac{307}{486}\right)\)	\(e\left(\frac{217}{243}\right)\)	\(e\left(\frac{25}{81}\right)\)	\(e\left(\frac{121}{162}\right)\)	\(e\left(\frac{185}{486}\right)\)	\(e\left(\frac{134}{243}\right)\)	\(e\left(\frac{62}{243}\right)\)	\(e\left(\frac{113}{486}\right)\)
\(\chi_{26244}(59,\cdot)\)	26244.bf	4374	yes	\(1\)	\(1\)	\(e\left(\frac{187}{4374}\right)\)	\(e\left(\frac{2897}{4374}\right)\)	\(e\left(\frac{469}{2187}\right)\)	\(e\left(\frac{272}{2187}\right)\)	\(e\left(\frac{343}{1458}\right)\)	\(e\left(\frac{809}{1458}\right)\)	\(e\left(\frac{509}{2187}\right)\)	\(e\left(\frac{187}{2187}\right)\)	\(e\left(\frac{815}{4374}\right)\)	\(e\left(\frac{145}{4374}\right)\)
\(\chi_{26244}(61,\cdot)\)	26244.bc	2187	no	\(1\)	\(1\)	\(e\left(\frac{1354}{2187}\right)\)	\(e\left(\frac{416}{2187}\right)\)	\(e\left(\frac{1985}{2187}\right)\)	\(e\left(\frac{559}{2187}\right)\)	\(e\left(\frac{394}{729}\right)\)	\(e\left(\frac{704}{729}\right)\)	\(e\left(\frac{1231}{2187}\right)\)	\(e\left(\frac{521}{2187}\right)\)	\(e\left(\frac{1340}{2187}\right)\)	\(e\left(\frac{547}{2187}\right)\)
\(\chi_{26244}(65,\cdot)\)	26244.be	4374	no	\(-1\)	\(1\)	\(e\left(\frac{2819}{4374}\right)\)	\(e\left(\frac{194}{2187}\right)\)	\(e\left(\frac{2293}{4374}\right)\)	\(e\left(\frac{124}{2187}\right)\)	\(e\left(\frac{17}{1458}\right)\)	\(e\left(\frac{104}{729}\right)\)	\(e\left(\frac{1043}{4374}\right)\)	\(e\left(\frac{632}{2187}\right)\)	\(e\left(\frac{661}{4374}\right)\)	\(e\left(\frac{2011}{2187}\right)\)
\(\chi_{26244}(67,\cdot)\)	26244.bd	4374	yes	\(-1\)	\(1\)	\(e\left(\frac{1883}{2187}\right)\)	\(e\left(\frac{1703}{4374}\right)\)	\(e\left(\frac{3137}{4374}\right)\)	\(e\left(\frac{905}{2187}\right)\)	\(e\left(\frac{647}{729}\right)\)	\(e\left(\frac{695}{1458}\right)\)	\(e\left(\frac{187}{4374}\right)\)	\(e\left(\frac{1579}{2187}\right)\)	\(e\left(\frac{1786}{2187}\right)\)	\(e\left(\frac{2581}{4374}\right)\)
\(\chi_{26244}(71,\cdot)\)	26244.bb	1458	no	\(1\)	\(1\)	\(e\left(\frac{553}{1458}\right)\)	\(e\left(\frac{1433}{1458}\right)\)	\(e\left(\frac{502}{729}\right)\)	\(e\left(\frac{473}{729}\right)\)	\(e\left(\frac{349}{486}\right)\)	\(e\left(\frac{425}{486}\right)\)	\(e\left(\frac{593}{729}\right)\)	\(e\left(\frac{553}{729}\right)\)	\(e\left(\frac{305}{1458}\right)\)	\(e\left(\frac{421}{1458}\right)\)
\(\chi_{26244}(73,\cdot)\)	26244.y	729	no	\(1\)	\(1\)	\(e\left(\frac{718}{729}\right)\)	\(e\left(\frac{44}{729}\right)\)	\(e\left(\frac{245}{729}\right)\)	\(e\left(\frac{697}{729}\right)\)	\(e\left(\frac{37}{243}\right)\)	\(e\left(\frac{224}{243}\right)\)	\(e\left(\frac{712}{729}\right)\)	\(e\left(\frac{707}{729}\right)\)	\(e\left(\frac{338}{729}\right)\)	\(e\left(\frac{163}{729}\right)\)
\(\chi_{26244}(77,\cdot)\)	26244.be	4374	no	\(-1\)	\(1\)	\(e\left(\frac{991}{4374}\right)\)	\(e\left(\frac{934}{2187}\right)\)	\(e\left(\frac{3509}{4374}\right)\)	\(e\left(\frac{845}{2187}\right)\)	\(e\left(\frac{157}{1458}\right)\)	\(e\left(\frac{403}{729}\right)\)	\(e\left(\frac{2857}{4374}\right)\)	\(e\left(\frac{991}{2187}\right)\)	\(e\left(\frac{1559}{4374}\right)\)	\(e\left(\frac{776}{2187}\right)\)
\(\chi_{26244}(79,\cdot)\)	26244.bd	4374	yes	\(-1\)	\(1\)	\(e\left(\frac{592}{2187}\right)\)	\(e\left(\frac{367}{4374}\right)\)	\(e\left(\frac{337}{4374}\right)\)	\(e\left(\frac{1921}{2187}\right)\)	\(e\left(\frac{505}{729}\right)\)	\(e\left(\frac{565}{1458}\right)\)	\(e\left(\frac{3089}{4374}\right)\)	\(e\left(\frac{1184}{2187}\right)\)	\(e\left(\frac{896}{2187}\right)\)	\(e\left(\frac{2801}{4374}\right)\)
\(\chi_{26244}(83,\cdot)\)	26244.bf	4374	yes	\(1\)	\(1\)	\(e\left(\frac{1535}{4374}\right)\)	\(e\left(\frac{3337}{4374}\right)\)	\(e\left(\frac{236}{2187}\right)\)	\(e\left(\frac{841}{2187}\right)\)	\(e\left(\frac{227}{1458}\right)\)	\(e\left(\frac{1105}{1458}\right)\)	\(e\left(\frac{424}{2187}\right)\)	\(e\left(\frac{1535}{2187}\right)\)	\(e\left(\frac{2737}{4374}\right)\)	\(e\left(\frac{1775}{4374}\right)\)
\(\chi_{26244}(85,\cdot)\)	26244.bc	2187	no	\(1\)	\(1\)	\(e\left(\frac{1130}{2187}\right)\)	\(e\left(\frac{583}{2187}\right)\)	\(e\left(\frac{148}{2187}\right)\)	\(e\left(\frac{305}{2187}\right)\)	\(e\left(\frac{65}{729}\right)\)	\(e\left(\frac{538}{729}\right)\)	\(e\left(\frac{1415}{2187}\right)\)	\(e\left(\frac{73}{2187}\right)\)	\(e\left(\frac{469}{2187}\right)\)	\(e\left(\frac{1613}{2187}\right)\)
\(\chi_{26244}(89,\cdot)\)	26244.ba	1458	no	\(-1\)	\(1\)	\(e\left(\frac{1283}{1458}\right)\)	\(e\left(\frac{350}{729}\right)\)	\(e\left(\frac{319}{1458}\right)\)	\(e\left(\frac{607}{729}\right)\)	\(e\left(\frac{191}{486}\right)\)	\(e\left(\frac{125}{243}\right)\)	\(e\left(\frac{1055}{1458}\right)\)	\(e\left(\frac{554}{729}\right)\)	\(e\left(\frac{937}{1458}\right)\)	\(e\left(\frac{667}{729}\right)\)
\(\chi_{26244}(91,\cdot)\)	26244.z	1458	no	\(-1\)	\(1\)	\(e\left(\frac{434}{729}\right)\)	\(e\left(\frac{173}{1458}\right)\)	\(e\left(\frac{1013}{1458}\right)\)	\(e\left(\frac{401}{729}\right)\)	\(e\left(\frac{197}{243}\right)\)	\(e\left(\frac{461}{486}\right)\)	\(e\left(\frac{745}{1458}\right)\)	\(e\left(\frac{139}{729}\right)\)	\(e\left(\frac{184}{729}\right)\)	\(e\left(\frac{61}{1458}\right)\)
\(\chi_{26244}(95,\cdot)\)	26244.bf	4374	yes	\(1\)	\(1\)	\(e\left(\frac{67}{4374}\right)\)	\(e\left(\frac{3377}{4374}\right)\)	\(e\left(\frac{16}{2187}\right)\)	\(e\left(\frac{1688}{2187}\right)\)	\(e\left(\frac{349}{1458}\right)\)	\(e\left(\frac{1397}{1458}\right)\)	\(e\left(\frac{1808}{2187}\right)\)	\(e\left(\frac{67}{2187}\right)\)	\(e\left(\frac{3707}{4374}\right)\)	\(e\left(\frac{4309}{4374}\right)\)

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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.