LMFDB - Group of Dirichlet characters of modulus 901404

Show commands: PariGP / SageMath

sage: H = DirichletGroup(901404)

pari: g = idealstar(,901404,2)

Character group

sage: G.order() pari: g.no
Order	=	254016
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{6}\times C_{6}\times C_{3528}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{901404}(450703,\cdot)$, $\chi_{901404}(701093,\cdot)$, $\chi_{901404}(357409,\cdot)$, $\chi_{901404}(86437,\cdot)$

First 32 of 254016 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	$-1$	$1$	$5$	$11$	$13$	$17$	$19$	$23$	$25$	$29$	$31$	$37$
$\chi_{901404}(1,\cdot)$	901404.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{901404}(5,\cdot)$	901404.dem	3528	no	$-1$	$1$	$e\left(\frac{145}{3528}\right)$	$e\left(\frac{403}{3528}\right)$	$e\left(\frac{2111}{3528}\right)$	$e\left(\frac{101}{392}\right)$	$e\left(\frac{1}{36}\right)$	$e\left(\frac{1733}{1764}\right)$	$e\left(\frac{145}{1764}\right)$	$e\left(\frac{2855}{3528}\right)$	$e\left(\frac{473}{504}\right)$	$e\left(\frac{83}{441}\right)$
$\chi_{901404}(11,\cdot)$	901404.dft	3528	yes	$-1$	$1$	$e\left(\frac{403}{3528}\right)$	$e\left(\frac{2953}{3528}\right)$	$e\left(\frac{125}{3528}\right)$	$e\left(\frac{269}{1176}\right)$	$e\left(\frac{7}{36}\right)$	$e\left(\frac{881}{1764}\right)$	$e\left(\frac{403}{1764}\right)$	$e\left(\frac{737}{3528}\right)$	$e\left(\frac{167}{504}\right)$	$e\left(\frac{107}{441}\right)$
$\chi_{901404}(13,\cdot)$	901404.dgp	3528	no	$1$	$1$	$e\left(\frac{2111}{3528}\right)$	$e\left(\frac{125}{3528}\right)$	$e\left(\frac{1021}{3528}\right)$	$e\left(\frac{521}{1176}\right)$	$e\left(\frac{11}{36}\right)$	$e\left(\frac{601}{1764}\right)$	$e\left(\frac{347}{1764}\right)$	$e\left(\frac{121}{3528}\right)$	$e\left(\frac{307}{504}\right)$	$e\left(\frac{79}{441}\right)$
$\chi_{901404}(17,\cdot)$	901404.day	1176	no	$-1$	$1$	$e\left(\frac{101}{392}\right)$	$e\left(\frac{269}{1176}\right)$	$e\left(\frac{521}{1176}\right)$	$e\left(\frac{883}{1176}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{169}{196}\right)$	$e\left(\frac{101}{196}\right)$	$e\left(\frac{113}{1176}\right)$	$e\left(\frac{29}{56}\right)$	$e\left(\frac{47}{49}\right)$
$\chi_{901404}(19,\cdot)$	901404.yv	36	no	$1$	$1$	$e\left(\frac{1}{36}\right)$	$e\left(\frac{7}{36}\right)$	$e\left(\frac{11}{36}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{5}{36}\right)$	$e\left(\frac{29}{36}\right)$	$e\left(\frac{7}{9}\right)$
$\chi_{901404}(23,\cdot)$	901404.dds	1764	yes	$1$	$1$	$e\left(\frac{1733}{1764}\right)$	$e\left(\frac{881}{1764}\right)$	$e\left(\frac{601}{1764}\right)$	$e\left(\frac{169}{196}\right)$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{475}{882}\right)$	$e\left(\frac{851}{882}\right)$	$e\left(\frac{667}{1764}\right)$	$e\left(\frac{97}{252}\right)$	$e\left(\frac{74}{441}\right)$
$\chi_{901404}(25,\cdot)$	901404.ddt	1764	no	$1$	$1$	$e\left(\frac{145}{1764}\right)$	$e\left(\frac{403}{1764}\right)$	$e\left(\frac{347}{1764}\right)$	$e\left(\frac{101}{196}\right)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{851}{882}\right)$	$e\left(\frac{145}{882}\right)$	$e\left(\frac{1091}{1764}\right)$	$e\left(\frac{221}{252}\right)$	$e\left(\frac{166}{441}\right)$
$\chi_{901404}(29,\cdot)$	901404.dex	3528	no	$1$	$1$	$e\left(\frac{2855}{3528}\right)$	$e\left(\frac{737}{3528}\right)$	$e\left(\frac{121}{3528}\right)$	$e\left(\frac{113}{1176}\right)$	$e\left(\frac{5}{36}\right)$	$e\left(\frac{667}{1764}\right)$	$e\left(\frac{1091}{1764}\right)$	$e\left(\frac{3517}{3528}\right)$	$e\left(\frac{415}{504}\right)$	$e\left(\frac{220}{441}\right)$
$\chi_{901404}(31,\cdot)$	901404.cmq	504	no	$-1$	$1$	$e\left(\frac{473}{504}\right)$	$e\left(\frac{167}{504}\right)$	$e\left(\frac{307}{504}\right)$	$e\left(\frac{29}{56}\right)$	$e\left(\frac{29}{36}\right)$	$e\left(\frac{97}{252}\right)$	$e\left(\frac{221}{252}\right)$	$e\left(\frac{415}{504}\right)$	$e\left(\frac{1}{72}\right)$	$e\left(\frac{16}{63}\right)$
$\chi_{901404}(37,\cdot)$	901404.clh	441	no	$1$	$1$	$e\left(\frac{83}{441}\right)$	$e\left(\frac{107}{441}\right)$	$e\left(\frac{79}{441}\right)$	$e\left(\frac{47}{49}\right)$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{74}{441}\right)$	$e\left(\frac{166}{441}\right)$	$e\left(\frac{220}{441}\right)$	$e\left(\frac{16}{63}\right)$	$e\left(\frac{227}{441}\right)$
$\chi_{901404}(41,\cdot)$	901404.cwu	882	no	$1$	$1$	$e\left(\frac{241}{882}\right)$	$e\left(\frac{158}{441}\right)$	$e\left(\frac{151}{441}\right)$	$e\left(\frac{67}{294}\right)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{709}{882}\right)$	$e\left(\frac{241}{441}\right)$	$e\left(\frac{307}{441}\right)$	$e\left(\frac{4}{63}\right)$	$e\left(\frac{272}{441}\right)$
$\chi_{901404}(43,\cdot)$	901404.dad	1176	yes	$1$	$1$	$e\left(\frac{745}{1176}\right)$	$e\left(\frac{145}{392}\right)$	$e\left(\frac{369}{392}\right)$	$e\left(\frac{151}{392}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{449}{588}\right)$	$e\left(\frac{157}{588}\right)$	$e\left(\frac{131}{1176}\right)$	$e\left(\frac{19}{56}\right)$	$e\left(\frac{124}{147}\right)$
$\chi_{901404}(47,\cdot)$	901404.dfg	3528	yes	$1$	$1$	$e\left(\frac{1663}{3528}\right)$	$e\left(\frac{1609}{3528}\right)$	$e\left(\frac{545}{3528}\right)$	$e\left(\frac{323}{392}\right)$	$e\left(\frac{13}{36}\right)$	$e\left(\frac{125}{1764}\right)$	$e\left(\frac{1663}{1764}\right)$	$e\left(\frac{3425}{3528}\right)$	$e\left(\frac{419}{504}\right)$	$e\left(\frac{296}{441}\right)$
$\chi_{901404}(53,\cdot)$	901404.dfk	3528	no	$1$	$1$	$e\left(\frac{785}{3528}\right)$	$e\left(\frac{215}{3528}\right)$	$e\left(\frac{439}{3528}\right)$	$e\left(\frac{317}{392}\right)$	$e\left(\frac{35}{36}\right)$	$e\left(\frac{1657}{1764}\right)$	$e\left(\frac{785}{1764}\right)$	$e\left(\frac{67}{3528}\right)$	$e\left(\frac{313}{504}\right)$	$e\left(\frac{277}{441}\right)$
$\chi_{901404}(55,\cdot)$	901404.ctp	882	no	$1$	$1$	$e\left(\frac{137}{882}\right)$	$e\left(\frac{839}{882}\right)$	$e\left(\frac{559}{882}\right)$	$e\left(\frac{143}{294}\right)$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{425}{882}\right)$	$e\left(\frac{137}{441}\right)$	$e\left(\frac{8}{441}\right)$	$e\left(\frac{17}{63}\right)$	$e\left(\frac{190}{441}\right)$
$\chi_{901404}(59,\cdot)$	901404.dfg	3528	yes	$1$	$1$	$e\left(\frac{1829}{3528}\right)$	$e\left(\frac{1235}{3528}\right)$	$e\left(\frac{1291}{3528}\right)$	$e\left(\frac{25}{392}\right)$	$e\left(\frac{23}{36}\right)$	$e\left(\frac{199}{1764}\right)$	$e\left(\frac{65}{1764}\right)$	$e\left(\frac{1219}{3528}\right)$	$e\left(\frac{409}{504}\right)$	$e\left(\frac{316}{441}\right)$
$\chi_{901404}(61,\cdot)$	901404.ddb	1764	no	$-1$	$1$	$e\left(\frac{143}{1764}\right)$	$e\left(\frac{71}{1764}\right)$	$e\left(\frac{1429}{1764}\right)$	$e\left(\frac{55}{196}\right)$	$e\left(\frac{1}{9}\right)$	$e\left(\frac{85}{882}\right)$	$e\left(\frac{143}{882}\right)$	$e\left(\frac{1447}{1764}\right)$	$e\left(\frac{43}{252}\right)$	$e\left(\frac{332}{441}\right)$
$\chi_{901404}(65,\cdot)$	901404.cfj	294	no	$-1$	$1$	$e\left(\frac{94}{147}\right)$	$e\left(\frac{22}{147}\right)$	$e\left(\frac{87}{98}\right)$	$e\left(\frac{103}{147}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{95}{294}\right)$	$e\left(\frac{41}{147}\right)$	$e\left(\frac{124}{147}\right)$	$e\left(\frac{23}{42}\right)$	$e\left(\frac{18}{49}\right)$
$\chi_{901404}(67,\cdot)$	901404.ccp	252	no	$-1$	$1$	$e\left(\frac{103}{252}\right)$	$e\left(\frac{67}{252}\right)$	$e\left(\frac{53}{252}\right)$	$e\left(\frac{3}{28}\right)$	$e\left(\frac{8}{9}\right)$	$e\left(\frac{37}{63}\right)$	$e\left(\frac{103}{126}\right)$	$e\left(\frac{125}{252}\right)$	$e\left(\frac{17}{36}\right)$	$e\left(\frac{40}{63}\right)$
$\chi_{901404}(71,\cdot)$	901404.cvj	882	no	$1$	$1$	$e\left(\frac{274}{441}\right)$	$e\left(\frac{269}{882}\right)$	$e\left(\frac{31}{882}\right)$	$e\left(\frac{139}{147}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{409}{441}\right)$	$e\left(\frac{107}{441}\right)$	$e\left(\frac{32}{441}\right)$	$e\left(\frac{5}{63}\right)$	$e\left(\frac{319}{441}\right)$
$\chi_{901404}(79,\cdot)$	901404.can	252	no	$-1$	$1$	$e\left(\frac{13}{252}\right)$	$e\left(\frac{121}{252}\right)$	$e\left(\frac{23}{252}\right)$	$e\left(\frac{71}{84}\right)$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{1}{63}\right)$	$e\left(\frac{13}{126}\right)$	$e\left(\frac{227}{252}\right)$	$e\left(\frac{11}{36}\right)$	$e\left(\frac{34}{63}\right)$
$\chi_{901404}(83,\cdot)$	901404.cxq	1176	yes	$1$	$1$	$e\left(\frac{827}{1176}\right)$	$e\left(\frac{229}{1176}\right)$	$e\left(\frac{845}{1176}\right)$	$e\left(\frac{125}{392}\right)$	$-i$	$e\left(\frac{397}{588}\right)$	$e\left(\frac{239}{588}\right)$	$e\left(\frac{1117}{1176}\right)$	$e\left(\frac{47}{168}\right)$	$e\left(\frac{34}{49}\right)$
$\chi_{901404}(85,\cdot)$	901404.dea	1764	no	$1$	$1$	$e\left(\frac{527}{1764}\right)$	$e\left(\frac{605}{1764}\right)$	$e\left(\frac{73}{1764}\right)$	$e\left(\frac{5}{588}\right)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{745}{882}\right)$	$e\left(\frac{527}{882}\right)$	$e\left(\frac{1597}{1764}\right)$	$e\left(\frac{115}{252}\right)$	$e\left(\frac{65}{441}\right)$
$\chi_{901404}(89,\cdot)$	901404.cua	882	no	$1$	$1$	$e\left(\frac{346}{441}\right)$	$e\left(\frac{65}{882}\right)$	$e\left(\frac{331}{882}\right)$	$e\left(\frac{11}{147}\right)$	$e\left(\frac{13}{18}\right)$	$e\left(\frac{431}{882}\right)$	$e\left(\frac{251}{441}\right)$	$e\left(\frac{157}{882}\right)$	$e\left(\frac{37}{126}\right)$	$e\left(\frac{229}{441}\right)$
$\chi_{901404}(95,\cdot)$	901404.cye	1176	yes	$-1$	$1$	$e\left(\frac{27}{392}\right)$	$e\left(\frac{121}{392}\right)$	$e\left(\frac{1063}{1176}\right)$	$e\left(\frac{205}{1176}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{149}{196}\right)$	$e\left(\frac{27}{196}\right)$	$e\left(\frac{1115}{1176}\right)$	$e\left(\frac{125}{168}\right)$	$e\left(\frac{142}{147}\right)$
$\chi_{901404}(97,\cdot)$	901404.bnx	84	no	$-1$	$1$	$e\left(\frac{15}{28}\right)$	$e\left(\frac{1}{84}\right)$	$e\left(\frac{71}{84}\right)$	$e\left(\frac{11}{28}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{14}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{11}{28}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{17}{21}\right)$
$\chi_{901404}(101,\cdot)$	901404.dga	3528	no	$-1$	$1$	$e\left(\frac{649}{3528}\right)$	$e\left(\frac{571}{3528}\right)$	$e\left(\frac{1103}{3528}\right)$	$e\left(\frac{191}{1176}\right)$	$e\left(\frac{1}{36}\right)$	$e\left(\frac{725}{1764}\right)$	$e\left(\frac{649}{1764}\right)$	$e\left(\frac{167}{3528}\right)$	$e\left(\frac{137}{504}\right)$	$e\left(\frac{41}{441}\right)$
$\chi_{901404}(103,\cdot)$	901404.dbc	1176	yes	$-1$	$1$	$e\left(\frac{1033}{1176}\right)$	$e\left(\frac{205}{392}\right)$	$e\left(\frac{923}{1176}\right)$	$e\left(\frac{485}{1176}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{209}{588}\right)$	$e\left(\frac{445}{588}\right)$	$e\left(\frac{269}{392}\right)$	$e\left(\frac{97}{168}\right)$	$e\left(\frac{10}{49}\right)$
$\chi_{901404}(107,\cdot)$	901404.deo	3528	no	$-1$	$1$	$e\left(\frac{3377}{3528}\right)$	$e\left(\frac{3011}{3528}\right)$	$e\left(\frac{3487}{3528}\right)$	$e\left(\frac{655}{1176}\right)$	$e\left(\frac{5}{36}\right)$	$e\left(\frac{379}{1764}\right)$	$e\left(\frac{1613}{1764}\right)$	$e\left(\frac{2035}{3528}\right)$	$e\left(\frac{421}{504}\right)$	$e\left(\frac{313}{441}\right)$
$\chi_{901404}(109,\cdot)$	901404.cvq	882	no	$1$	$1$	$e\left(\frac{295}{882}\right)$	$e\left(\frac{607}{882}\right)$	$e\left(\frac{635}{882}\right)$	$e\left(\frac{167}{294}\right)$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{89}{441}\right)$	$e\left(\frac{295}{441}\right)$	$e\left(\frac{557}{882}\right)$	$e\left(\frac{47}{126}\right)$	$e\left(\frac{422}{441}\right)$
$\chi_{901404}(113,\cdot)$	901404.dex	3528	no	$1$	$1$	$e\left(\frac{661}{3528}\right)$	$e\left(\frac{2563}{3528}\right)$	$e\left(\frac{2843}{3528}\right)$	$e\left(\frac{235}{1176}\right)$	$e\left(\frac{19}{36}\right)$	$e\left(\frac{29}{1764}\right)$	$e\left(\frac{661}{1764}\right)$	$e\left(\frac{383}{3528}\right)$	$e\left(\frac{29}{504}\right)$	$e\left(\frac{278}{441}\right)$

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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	$901404$
Structure	\(C_{2}\times C_{6}\times C_{6}\times C_{3528}\)
Order	$254016$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(5\)	\(11\)	\(13\)	\(17\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)	\(37\)
\(\chi_{901404}(1,\cdot)\)	901404.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{901404}(5,\cdot)\)	901404.dem	3528	no	\(-1\)	\(1\)	\(e\left(\frac{145}{3528}\right)\)	\(e\left(\frac{403}{3528}\right)\)	\(e\left(\frac{2111}{3528}\right)\)	\(e\left(\frac{101}{392}\right)\)	\(e\left(\frac{1}{36}\right)\)	\(e\left(\frac{1733}{1764}\right)\)	\(e\left(\frac{145}{1764}\right)\)	\(e\left(\frac{2855}{3528}\right)\)	\(e\left(\frac{473}{504}\right)\)	\(e\left(\frac{83}{441}\right)\)
\(\chi_{901404}(11,\cdot)\)	901404.dft	3528	yes	\(-1\)	\(1\)	\(e\left(\frac{403}{3528}\right)\)	\(e\left(\frac{2953}{3528}\right)\)	\(e\left(\frac{125}{3528}\right)\)	\(e\left(\frac{269}{1176}\right)\)	\(e\left(\frac{7}{36}\right)\)	\(e\left(\frac{881}{1764}\right)\)	\(e\left(\frac{403}{1764}\right)\)	\(e\left(\frac{737}{3528}\right)\)	\(e\left(\frac{167}{504}\right)\)	\(e\left(\frac{107}{441}\right)\)
\(\chi_{901404}(13,\cdot)\)	901404.dgp	3528	no	\(1\)	\(1\)	\(e\left(\frac{2111}{3528}\right)\)	\(e\left(\frac{125}{3528}\right)\)	\(e\left(\frac{1021}{3528}\right)\)	\(e\left(\frac{521}{1176}\right)\)	\(e\left(\frac{11}{36}\right)\)	\(e\left(\frac{601}{1764}\right)\)	\(e\left(\frac{347}{1764}\right)\)	\(e\left(\frac{121}{3528}\right)\)	\(e\left(\frac{307}{504}\right)\)	\(e\left(\frac{79}{441}\right)\)
\(\chi_{901404}(17,\cdot)\)	901404.day	1176	no	\(-1\)	\(1\)	\(e\left(\frac{101}{392}\right)\)	\(e\left(\frac{269}{1176}\right)\)	\(e\left(\frac{521}{1176}\right)\)	\(e\left(\frac{883}{1176}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{169}{196}\right)\)	\(e\left(\frac{101}{196}\right)\)	\(e\left(\frac{113}{1176}\right)\)	\(e\left(\frac{29}{56}\right)\)	\(e\left(\frac{47}{49}\right)\)
\(\chi_{901404}(19,\cdot)\)	901404.yv	36	no	\(1\)	\(1\)	\(e\left(\frac{1}{36}\right)\)	\(e\left(\frac{7}{36}\right)\)	\(e\left(\frac{11}{36}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{1}{18}\right)\)	\(e\left(\frac{7}{9}\right)\)	\(e\left(\frac{1}{18}\right)\)	\(e\left(\frac{5}{36}\right)\)	\(e\left(\frac{29}{36}\right)\)	\(e\left(\frac{7}{9}\right)\)
\(\chi_{901404}(23,\cdot)\)	901404.dds	1764	yes	\(1\)	\(1\)	\(e\left(\frac{1733}{1764}\right)\)	\(e\left(\frac{881}{1764}\right)\)	\(e\left(\frac{601}{1764}\right)\)	\(e\left(\frac{169}{196}\right)\)	\(e\left(\frac{7}{9}\right)\)	\(e\left(\frac{475}{882}\right)\)	\(e\left(\frac{851}{882}\right)\)	\(e\left(\frac{667}{1764}\right)\)	\(e\left(\frac{97}{252}\right)\)	\(e\left(\frac{74}{441}\right)\)
\(\chi_{901404}(25,\cdot)\)	901404.ddt	1764	no	\(1\)	\(1\)	\(e\left(\frac{145}{1764}\right)\)	\(e\left(\frac{403}{1764}\right)\)	\(e\left(\frac{347}{1764}\right)\)	\(e\left(\frac{101}{196}\right)\)	\(e\left(\frac{1}{18}\right)\)	\(e\left(\frac{851}{882}\right)\)	\(e\left(\frac{145}{882}\right)\)	\(e\left(\frac{1091}{1764}\right)\)	\(e\left(\frac{221}{252}\right)\)	\(e\left(\frac{166}{441}\right)\)
\(\chi_{901404}(29,\cdot)\)	901404.dex	3528	no	\(1\)	\(1\)	\(e\left(\frac{2855}{3528}\right)\)	\(e\left(\frac{737}{3528}\right)\)	\(e\left(\frac{121}{3528}\right)\)	\(e\left(\frac{113}{1176}\right)\)	\(e\left(\frac{5}{36}\right)\)	\(e\left(\frac{667}{1764}\right)\)	\(e\left(\frac{1091}{1764}\right)\)	\(e\left(\frac{3517}{3528}\right)\)	\(e\left(\frac{415}{504}\right)\)	\(e\left(\frac{220}{441}\right)\)
\(\chi_{901404}(31,\cdot)\)	901404.cmq	504	no	\(-1\)	\(1\)	\(e\left(\frac{473}{504}\right)\)	\(e\left(\frac{167}{504}\right)\)	\(e\left(\frac{307}{504}\right)\)	\(e\left(\frac{29}{56}\right)\)	\(e\left(\frac{29}{36}\right)\)	\(e\left(\frac{97}{252}\right)\)	\(e\left(\frac{221}{252}\right)\)	\(e\left(\frac{415}{504}\right)\)	\(e\left(\frac{1}{72}\right)\)	\(e\left(\frac{16}{63}\right)\)
\(\chi_{901404}(37,\cdot)\)	901404.clh	441	no	\(1\)	\(1\)	\(e\left(\frac{83}{441}\right)\)	\(e\left(\frac{107}{441}\right)\)	\(e\left(\frac{79}{441}\right)\)	\(e\left(\frac{47}{49}\right)\)	\(e\left(\frac{7}{9}\right)\)	\(e\left(\frac{74}{441}\right)\)	\(e\left(\frac{166}{441}\right)\)	\(e\left(\frac{220}{441}\right)\)	\(e\left(\frac{16}{63}\right)\)	\(e\left(\frac{227}{441}\right)\)
\(\chi_{901404}(41,\cdot)\)	901404.cwu	882	no	\(1\)	\(1\)	\(e\left(\frac{241}{882}\right)\)	\(e\left(\frac{158}{441}\right)\)	\(e\left(\frac{151}{441}\right)\)	\(e\left(\frac{67}{294}\right)\)	\(e\left(\frac{17}{18}\right)\)	\(e\left(\frac{709}{882}\right)\)	\(e\left(\frac{241}{441}\right)\)	\(e\left(\frac{307}{441}\right)\)	\(e\left(\frac{4}{63}\right)\)	\(e\left(\frac{272}{441}\right)\)
\(\chi_{901404}(43,\cdot)\)	901404.dad	1176	yes	\(1\)	\(1\)	\(e\left(\frac{745}{1176}\right)\)	\(e\left(\frac{145}{392}\right)\)	\(e\left(\frac{369}{392}\right)\)	\(e\left(\frac{151}{392}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{449}{588}\right)\)	\(e\left(\frac{157}{588}\right)\)	\(e\left(\frac{131}{1176}\right)\)	\(e\left(\frac{19}{56}\right)\)	\(e\left(\frac{124}{147}\right)\)
\(\chi_{901404}(47,\cdot)\)	901404.dfg	3528	yes	\(1\)	\(1\)	\(e\left(\frac{1663}{3528}\right)\)	\(e\left(\frac{1609}{3528}\right)\)	\(e\left(\frac{545}{3528}\right)\)	\(e\left(\frac{323}{392}\right)\)	\(e\left(\frac{13}{36}\right)\)	\(e\left(\frac{125}{1764}\right)\)	\(e\left(\frac{1663}{1764}\right)\)	\(e\left(\frac{3425}{3528}\right)\)	\(e\left(\frac{419}{504}\right)\)	\(e\left(\frac{296}{441}\right)\)
\(\chi_{901404}(53,\cdot)\)	901404.dfk	3528	no	\(1\)	\(1\)	\(e\left(\frac{785}{3528}\right)\)	\(e\left(\frac{215}{3528}\right)\)	\(e\left(\frac{439}{3528}\right)\)	\(e\left(\frac{317}{392}\right)\)	\(e\left(\frac{35}{36}\right)\)	\(e\left(\frac{1657}{1764}\right)\)	\(e\left(\frac{785}{1764}\right)\)	\(e\left(\frac{67}{3528}\right)\)	\(e\left(\frac{313}{504}\right)\)	\(e\left(\frac{277}{441}\right)\)
\(\chi_{901404}(55,\cdot)\)	901404.ctp	882	no	\(1\)	\(1\)	\(e\left(\frac{137}{882}\right)\)	\(e\left(\frac{839}{882}\right)\)	\(e\left(\frac{559}{882}\right)\)	\(e\left(\frac{143}{294}\right)\)	\(e\left(\frac{2}{9}\right)\)	\(e\left(\frac{425}{882}\right)\)	\(e\left(\frac{137}{441}\right)\)	\(e\left(\frac{8}{441}\right)\)	\(e\left(\frac{17}{63}\right)\)	\(e\left(\frac{190}{441}\right)\)
\(\chi_{901404}(59,\cdot)\)	901404.dfg	3528	yes	\(1\)	\(1\)	\(e\left(\frac{1829}{3528}\right)\)	\(e\left(\frac{1235}{3528}\right)\)	\(e\left(\frac{1291}{3528}\right)\)	\(e\left(\frac{25}{392}\right)\)	\(e\left(\frac{23}{36}\right)\)	\(e\left(\frac{199}{1764}\right)\)	\(e\left(\frac{65}{1764}\right)\)	\(e\left(\frac{1219}{3528}\right)\)	\(e\left(\frac{409}{504}\right)\)	\(e\left(\frac{316}{441}\right)\)
\(\chi_{901404}(61,\cdot)\)	901404.ddb	1764	no	\(-1\)	\(1\)	\(e\left(\frac{143}{1764}\right)\)	\(e\left(\frac{71}{1764}\right)\)	\(e\left(\frac{1429}{1764}\right)\)	\(e\left(\frac{55}{196}\right)\)	\(e\left(\frac{1}{9}\right)\)	\(e\left(\frac{85}{882}\right)\)	\(e\left(\frac{143}{882}\right)\)	\(e\left(\frac{1447}{1764}\right)\)	\(e\left(\frac{43}{252}\right)\)	\(e\left(\frac{332}{441}\right)\)
\(\chi_{901404}(65,\cdot)\)	901404.cfj	294	no	\(-1\)	\(1\)	\(e\left(\frac{94}{147}\right)\)	\(e\left(\frac{22}{147}\right)\)	\(e\left(\frac{87}{98}\right)\)	\(e\left(\frac{103}{147}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{95}{294}\right)\)	\(e\left(\frac{41}{147}\right)\)	\(e\left(\frac{124}{147}\right)\)	\(e\left(\frac{23}{42}\right)\)	\(e\left(\frac{18}{49}\right)\)
\(\chi_{901404}(67,\cdot)\)	901404.ccp	252	no	\(-1\)	\(1\)	\(e\left(\frac{103}{252}\right)\)	\(e\left(\frac{67}{252}\right)\)	\(e\left(\frac{53}{252}\right)\)	\(e\left(\frac{3}{28}\right)\)	\(e\left(\frac{8}{9}\right)\)	\(e\left(\frac{37}{63}\right)\)	\(e\left(\frac{103}{126}\right)\)	\(e\left(\frac{125}{252}\right)\)	\(e\left(\frac{17}{36}\right)\)	\(e\left(\frac{40}{63}\right)\)
\(\chi_{901404}(71,\cdot)\)	901404.cvj	882	no	\(1\)	\(1\)	\(e\left(\frac{274}{441}\right)\)	\(e\left(\frac{269}{882}\right)\)	\(e\left(\frac{31}{882}\right)\)	\(e\left(\frac{139}{147}\right)\)	\(e\left(\frac{7}{18}\right)\)	\(e\left(\frac{409}{441}\right)\)	\(e\left(\frac{107}{441}\right)\)	\(e\left(\frac{32}{441}\right)\)	\(e\left(\frac{5}{63}\right)\)	\(e\left(\frac{319}{441}\right)\)
\(\chi_{901404}(79,\cdot)\)	901404.can	252	no	\(-1\)	\(1\)	\(e\left(\frac{13}{252}\right)\)	\(e\left(\frac{121}{252}\right)\)	\(e\left(\frac{23}{252}\right)\)	\(e\left(\frac{71}{84}\right)\)	\(e\left(\frac{2}{9}\right)\)	\(e\left(\frac{1}{63}\right)\)	\(e\left(\frac{13}{126}\right)\)	\(e\left(\frac{227}{252}\right)\)	\(e\left(\frac{11}{36}\right)\)	\(e\left(\frac{34}{63}\right)\)
\(\chi_{901404}(83,\cdot)\)	901404.cxq	1176	yes	\(1\)	\(1\)	\(e\left(\frac{827}{1176}\right)\)	\(e\left(\frac{229}{1176}\right)\)	\(e\left(\frac{845}{1176}\right)\)	\(e\left(\frac{125}{392}\right)\)	\(-i\)	\(e\left(\frac{397}{588}\right)\)	\(e\left(\frac{239}{588}\right)\)	\(e\left(\frac{1117}{1176}\right)\)	\(e\left(\frac{47}{168}\right)\)	\(e\left(\frac{34}{49}\right)\)
\(\chi_{901404}(85,\cdot)\)	901404.dea	1764	no	\(1\)	\(1\)	\(e\left(\frac{527}{1764}\right)\)	\(e\left(\frac{605}{1764}\right)\)	\(e\left(\frac{73}{1764}\right)\)	\(e\left(\frac{5}{588}\right)\)	\(e\left(\frac{17}{18}\right)\)	\(e\left(\frac{745}{882}\right)\)	\(e\left(\frac{527}{882}\right)\)	\(e\left(\frac{1597}{1764}\right)\)	\(e\left(\frac{115}{252}\right)\)	\(e\left(\frac{65}{441}\right)\)
\(\chi_{901404}(89,\cdot)\)	901404.cua	882	no	\(1\)	\(1\)	\(e\left(\frac{346}{441}\right)\)	\(e\left(\frac{65}{882}\right)\)	\(e\left(\frac{331}{882}\right)\)	\(e\left(\frac{11}{147}\right)\)	\(e\left(\frac{13}{18}\right)\)	\(e\left(\frac{431}{882}\right)\)	\(e\left(\frac{251}{441}\right)\)	\(e\left(\frac{157}{882}\right)\)	\(e\left(\frac{37}{126}\right)\)	\(e\left(\frac{229}{441}\right)\)
\(\chi_{901404}(95,\cdot)\)	901404.cye	1176	yes	\(-1\)	\(1\)	\(e\left(\frac{27}{392}\right)\)	\(e\left(\frac{121}{392}\right)\)	\(e\left(\frac{1063}{1176}\right)\)	\(e\left(\frac{205}{1176}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{149}{196}\right)\)	\(e\left(\frac{27}{196}\right)\)	\(e\left(\frac{1115}{1176}\right)\)	\(e\left(\frac{125}{168}\right)\)	\(e\left(\frac{142}{147}\right)\)
\(\chi_{901404}(97,\cdot)\)	901404.bnx	84	no	\(-1\)	\(1\)	\(e\left(\frac{15}{28}\right)\)	\(e\left(\frac{1}{84}\right)\)	\(e\left(\frac{71}{84}\right)\)	\(e\left(\frac{11}{28}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{5}{14}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{11}{28}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{17}{21}\right)\)
\(\chi_{901404}(101,\cdot)\)	901404.dga	3528	no	\(-1\)	\(1\)	\(e\left(\frac{649}{3528}\right)\)	\(e\left(\frac{571}{3528}\right)\)	\(e\left(\frac{1103}{3528}\right)\)	\(e\left(\frac{191}{1176}\right)\)	\(e\left(\frac{1}{36}\right)\)	\(e\left(\frac{725}{1764}\right)\)	\(e\left(\frac{649}{1764}\right)\)	\(e\left(\frac{167}{3528}\right)\)	\(e\left(\frac{137}{504}\right)\)	\(e\left(\frac{41}{441}\right)\)
\(\chi_{901404}(103,\cdot)\)	901404.dbc	1176	yes	\(-1\)	\(1\)	\(e\left(\frac{1033}{1176}\right)\)	\(e\left(\frac{205}{392}\right)\)	\(e\left(\frac{923}{1176}\right)\)	\(e\left(\frac{485}{1176}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{209}{588}\right)\)	\(e\left(\frac{445}{588}\right)\)	\(e\left(\frac{269}{392}\right)\)	\(e\left(\frac{97}{168}\right)\)	\(e\left(\frac{10}{49}\right)\)
\(\chi_{901404}(107,\cdot)\)	901404.deo	3528	no	\(-1\)	\(1\)	\(e\left(\frac{3377}{3528}\right)\)	\(e\left(\frac{3011}{3528}\right)\)	\(e\left(\frac{3487}{3528}\right)\)	\(e\left(\frac{655}{1176}\right)\)	\(e\left(\frac{5}{36}\right)\)	\(e\left(\frac{379}{1764}\right)\)	\(e\left(\frac{1613}{1764}\right)\)	\(e\left(\frac{2035}{3528}\right)\)	\(e\left(\frac{421}{504}\right)\)	\(e\left(\frac{313}{441}\right)\)
\(\chi_{901404}(109,\cdot)\)	901404.cvq	882	no	\(1\)	\(1\)	\(e\left(\frac{295}{882}\right)\)	\(e\left(\frac{607}{882}\right)\)	\(e\left(\frac{635}{882}\right)\)	\(e\left(\frac{167}{294}\right)\)	\(e\left(\frac{4}{9}\right)\)	\(e\left(\frac{89}{441}\right)\)	\(e\left(\frac{295}{441}\right)\)	\(e\left(\frac{557}{882}\right)\)	\(e\left(\frac{47}{126}\right)\)	\(e\left(\frac{422}{441}\right)\)
\(\chi_{901404}(113,\cdot)\)	901404.dex	3528	no	\(1\)	\(1\)	\(e\left(\frac{661}{3528}\right)\)	\(e\left(\frac{2563}{3528}\right)\)	\(e\left(\frac{2843}{3528}\right)\)	\(e\left(\frac{235}{1176}\right)\)	\(e\left(\frac{19}{36}\right)\)	\(e\left(\frac{29}{1764}\right)\)	\(e\left(\frac{661}{1764}\right)\)	\(e\left(\frac{383}{3528}\right)\)	\(e\left(\frac{29}{504}\right)\)	\(e\left(\frac{278}{441}\right)\)

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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.