LMFDB - Group of Dirichlet characters of modulus 11025

Show commands: PariGP / SageMath

sage: H = DirichletGroup(11025)

pari: g = idealstar(,11025,2)

Character group

sage: G.order() pari: g.no
Order	=	5040
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{6}\times C_{420}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{11025}(1226,\cdot)$, $\chi_{11025}(4852,\cdot)$, $\chi_{11025}(9901,\cdot)$

First 32 of 5040 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	$-1$	$1$	$2$	$4$	$8$	$11$	$13$	$16$	$17$	$19$	$22$	$23$
$\chi_{11025}(1,\cdot)$	11025.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{11025}(2,\cdot)$	11025.iu	420	yes	$1$	$1$	$e\left(\frac{131}{420}\right)$	$e\left(\frac{131}{210}\right)$	$e\left(\frac{131}{140}\right)$	$e\left(\frac{51}{70}\right)$	$e\left(\frac{299}{420}\right)$	$e\left(\frac{26}{105}\right)$	$e\left(\frac{263}{420}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{17}{420}\right)$	$e\left(\frac{127}{140}\right)$
$\chi_{11025}(4,\cdot)$	11025.im	210	yes	$1$	$1$	$e\left(\frac{131}{210}\right)$	$e\left(\frac{26}{105}\right)$	$e\left(\frac{61}{70}\right)$	$e\left(\frac{16}{35}\right)$	$e\left(\frac{89}{210}\right)$	$e\left(\frac{52}{105}\right)$	$e\left(\frac{53}{210}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{17}{210}\right)$	$e\left(\frac{57}{70}\right)$
$\chi_{11025}(8,\cdot)$	11025.hl	140	no	$1$	$1$	$e\left(\frac{131}{140}\right)$	$e\left(\frac{61}{70}\right)$	$e\left(\frac{113}{140}\right)$	$e\left(\frac{13}{70}\right)$	$e\left(\frac{19}{140}\right)$	$e\left(\frac{26}{35}\right)$	$e\left(\frac{123}{140}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{17}{140}\right)$	$e\left(\frac{101}{140}\right)$
$\chi_{11025}(11,\cdot)$	11025.hq	210	yes	$-1$	$1$	$e\left(\frac{51}{70}\right)$	$e\left(\frac{16}{35}\right)$	$e\left(\frac{13}{70}\right)$	$e\left(\frac{13}{210}\right)$	$e\left(\frac{101}{105}\right)$	$e\left(\frac{32}{35}\right)$	$e\left(\frac{149}{210}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{83}{105}\right)$	$e\left(\frac{173}{210}\right)$
$\chi_{11025}(13,\cdot)$	11025.iw	420	yes	$1$	$1$	$e\left(\frac{299}{420}\right)$	$e\left(\frac{89}{210}\right)$	$e\left(\frac{19}{140}\right)$	$e\left(\frac{101}{105}\right)$	$e\left(\frac{271}{420}\right)$	$e\left(\frac{89}{105}\right)$	$e\left(\frac{139}{140}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{283}{420}\right)$	$e\left(\frac{409}{420}\right)$
$\chi_{11025}(16,\cdot)$	11025.hi	105	yes	$1$	$1$	$e\left(\frac{26}{105}\right)$	$e\left(\frac{52}{105}\right)$	$e\left(\frac{26}{35}\right)$	$e\left(\frac{32}{35}\right)$	$e\left(\frac{89}{105}\right)$	$e\left(\frac{104}{105}\right)$	$e\left(\frac{53}{105}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{17}{105}\right)$	$e\left(\frac{22}{35}\right)$
$\chi_{11025}(17,\cdot)$	11025.jc	420	no	$-1$	$1$	$e\left(\frac{263}{420}\right)$	$e\left(\frac{53}{210}\right)$	$e\left(\frac{123}{140}\right)$	$e\left(\frac{149}{210}\right)$	$e\left(\frac{139}{140}\right)$	$e\left(\frac{53}{105}\right)$	$e\left(\frac{349}{420}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{47}{140}\right)$	$e\left(\frac{113}{420}\right)$
$\chi_{11025}(19,\cdot)$	11025.dx	30	no	$-1$	$1$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{17}{30}\right)$
$\chi_{11025}(22,\cdot)$	11025.iz	420	yes	$-1$	$1$	$e\left(\frac{17}{420}\right)$	$e\left(\frac{17}{210}\right)$	$e\left(\frac{17}{140}\right)$	$e\left(\frac{83}{105}\right)$	$e\left(\frac{283}{420}\right)$	$e\left(\frac{17}{105}\right)$	$e\left(\frac{47}{140}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{349}{420}\right)$	$e\left(\frac{307}{420}\right)$
$\chi_{11025}(23,\cdot)$	11025.is	420	yes	$1$	$1$	$e\left(\frac{127}{140}\right)$	$e\left(\frac{57}{70}\right)$	$e\left(\frac{101}{140}\right)$	$e\left(\frac{173}{210}\right)$	$e\left(\frac{409}{420}\right)$	$e\left(\frac{22}{35}\right)$	$e\left(\frac{113}{420}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{307}{420}\right)$	$e\left(\frac{251}{420}\right)$
$\chi_{11025}(26,\cdot)$	11025.ez	42	no	$1$	$1$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{1}{21}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{29}{42}\right)$	$e\left(\frac{5}{14}\right)$	$e\left(\frac{2}{21}\right)$	$e\left(\frac{13}{21}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{37}{42}\right)$
$\chi_{11025}(29,\cdot)$	11025.hy	210	yes	$-1$	$1$	$e\left(\frac{43}{105}\right)$	$e\left(\frac{86}{105}\right)$	$e\left(\frac{8}{35}\right)$	$e\left(\frac{191}{210}\right)$	$e\left(\frac{79}{210}\right)$	$e\left(\frac{67}{105}\right)$	$e\left(\frac{18}{35}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{67}{210}\right)$	$e\left(\frac{23}{105}\right)$
$\chi_{11025}(31,\cdot)$	11025.ed	30	no	$-1$	$1$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{2}{5}\right)$
$\chi_{11025}(32,\cdot)$	11025.hb	84	no	$1$	$1$	$e\left(\frac{47}{84}\right)$	$e\left(\frac{5}{42}\right)$	$e\left(\frac{19}{28}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{47}{84}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{11}{84}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{17}{84}\right)$	$e\left(\frac{15}{28}\right)$
$\chi_{11025}(34,\cdot)$	11025.ie	210	yes	$-1$	$1$	$e\left(\frac{197}{210}\right)$	$e\left(\frac{92}{105}\right)$	$e\left(\frac{57}{70}\right)$	$e\left(\frac{46}{105}\right)$	$e\left(\frac{74}{105}\right)$	$e\left(\frac{79}{105}\right)$	$e\left(\frac{16}{35}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{79}{210}\right)$	$e\left(\frac{37}{210}\right)$
$\chi_{11025}(37,\cdot)$	11025.ix	420	no	$-1$	$1$	$e\left(\frac{109}{420}\right)$	$e\left(\frac{109}{210}\right)$	$e\left(\frac{109}{140}\right)$	$e\left(\frac{71}{105}\right)$	$e\left(\frac{97}{140}\right)$	$e\left(\frac{4}{105}\right)$	$e\left(\frac{377}{420}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{131}{140}\right)$	$e\left(\frac{379}{420}\right)$
$\chi_{11025}(38,\cdot)$	11025.it	420	yes	$-1$	$1$	$e\left(\frac{123}{140}\right)$	$e\left(\frac{53}{70}\right)$	$e\left(\frac{89}{140}\right)$	$e\left(\frac{97}{210}\right)$	$e\left(\frac{131}{420}\right)$	$e\left(\frac{18}{35}\right)$	$e\left(\frac{67}{420}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{143}{420}\right)$	$e\left(\frac{199}{420}\right)$
$\chi_{11025}(41,\cdot)$	11025.ij	210	yes	$1$	$1$	$e\left(\frac{67}{210}\right)$	$e\left(\frac{67}{105}\right)$	$e\left(\frac{67}{70}\right)$	$e\left(\frac{67}{210}\right)$	$e\left(\frac{53}{210}\right)$	$e\left(\frac{29}{105}\right)$	$e\left(\frac{1}{35}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{67}{105}\right)$	$e\left(\frac{197}{210}\right)$
$\chi_{11025}(43,\cdot)$	11025.gw	84	no	$-1$	$1$	$e\left(\frac{11}{84}\right)$	$e\left(\frac{11}{42}\right)$	$e\left(\frac{11}{28}\right)$	$e\left(\frac{8}{21}\right)$	$e\left(\frac{25}{84}\right)$	$e\left(\frac{11}{21}\right)$	$e\left(\frac{9}{28}\right)$	$-1$	$e\left(\frac{43}{84}\right)$	$e\left(\frac{1}{84}\right)$
$\chi_{11025}(44,\cdot)$	11025.hw	210	no	$-1$	$1$	$e\left(\frac{37}{105}\right)$	$e\left(\frac{74}{105}\right)$	$e\left(\frac{2}{35}\right)$	$e\left(\frac{109}{210}\right)$	$e\left(\frac{27}{70}\right)$	$e\left(\frac{43}{105}\right)$	$e\left(\frac{101}{105}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{61}{70}\right)$	$e\left(\frac{67}{105}\right)$
$\chi_{11025}(46,\cdot)$	11025.hh	105	no	$1$	$1$	$e\left(\frac{23}{105}\right)$	$e\left(\frac{46}{105}\right)$	$e\left(\frac{23}{35}\right)$	$e\left(\frac{58}{105}\right)$	$e\left(\frac{24}{35}\right)$	$e\left(\frac{92}{105}\right)$	$e\left(\frac{94}{105}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{27}{35}\right)$	$e\left(\frac{53}{105}\right)$
$\chi_{11025}(47,\cdot)$	11025.iv	420	yes	$-1$	$1$	$e\left(\frac{47}{420}\right)$	$e\left(\frac{47}{210}\right)$	$e\left(\frac{47}{140}\right)$	$e\left(\frac{37}{70}\right)$	$e\left(\frac{173}{420}\right)$	$e\left(\frac{47}{105}\right)$	$e\left(\frac{221}{420}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{269}{420}\right)$	$e\left(\frac{99}{140}\right)$
$\chi_{11025}(52,\cdot)$	11025.ir	420	yes	$1$	$1$	$e\left(\frac{47}{140}\right)$	$e\left(\frac{47}{70}\right)$	$e\left(\frac{1}{140}\right)$	$e\left(\frac{44}{105}\right)$	$e\left(\frac{29}{420}\right)$	$e\left(\frac{12}{35}\right)$	$e\left(\frac{103}{420}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{317}{420}\right)$	$e\left(\frac{331}{420}\right)$
$\chi_{11025}(53,\cdot)$	11025.jb	420	no	$1$	$1$	$e\left(\frac{17}{420}\right)$	$e\left(\frac{17}{210}\right)$	$e\left(\frac{17}{140}\right)$	$e\left(\frac{131}{210}\right)$	$e\left(\frac{71}{140}\right)$	$e\left(\frac{17}{105}\right)$	$e\left(\frac{1}{420}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{93}{140}\right)$	$e\left(\frac{167}{420}\right)$
$\chi_{11025}(58,\cdot)$	11025.iq	420	yes	$-1$	$1$	$e\left(\frac{101}{140}\right)$	$e\left(\frac{31}{70}\right)$	$e\left(\frac{23}{140}\right)$	$e\left(\frac{67}{105}\right)$	$e\left(\frac{37}{420}\right)$	$e\left(\frac{31}{35}\right)$	$e\left(\frac{59}{420}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{151}{420}\right)$	$e\left(\frac{53}{420}\right)$
$\chi_{11025}(59,\cdot)$	11025.hs	210	yes	$1$	$1$	$e\left(\frac{61}{105}\right)$	$e\left(\frac{17}{105}\right)$	$e\left(\frac{26}{35}\right)$	$e\left(\frac{29}{70}\right)$	$e\left(\frac{19}{105}\right)$	$e\left(\frac{34}{105}\right)$	$e\left(\frac{71}{210}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{209}{210}\right)$	$e\left(\frac{22}{35}\right)$
$\chi_{11025}(61,\cdot)$	11025.ia	210	yes	$-1$	$1$	$e\left(\frac{29}{105}\right)$	$e\left(\frac{58}{105}\right)$	$e\left(\frac{29}{35}\right)$	$e\left(\frac{33}{35}\right)$	$e\left(\frac{37}{210}\right)$	$e\left(\frac{11}{105}\right)$	$e\left(\frac{199}{210}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{23}{105}\right)$	$e\left(\frac{3}{35}\right)$
$\chi_{11025}(62,\cdot)$	11025.hk	140	no	$-1$	$1$	$e\left(\frac{53}{140}\right)$	$e\left(\frac{53}{70}\right)$	$e\left(\frac{19}{140}\right)$	$e\left(\frac{9}{70}\right)$	$e\left(\frac{67}{140}\right)$	$e\left(\frac{18}{35}\right)$	$e\left(\frac{139}{140}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{71}{140}\right)$	$e\left(\frac{43}{140}\right)$
$\chi_{11025}(64,\cdot)$	11025.gl	70	no	$1$	$1$	$e\left(\frac{61}{70}\right)$	$e\left(\frac{26}{35}\right)$	$e\left(\frac{43}{70}\right)$	$e\left(\frac{13}{35}\right)$	$e\left(\frac{19}{70}\right)$	$e\left(\frac{17}{35}\right)$	$e\left(\frac{53}{70}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{17}{70}\right)$	$e\left(\frac{31}{70}\right)$
$\chi_{11025}(67,\cdot)$	11025.ft	60	no	$-1$	$1$	$e\left(\frac{19}{60}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{1}{60}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{7}{60}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{43}{60}\right)$	$e\left(\frac{3}{20}\right)$
$\chi_{11025}(68,\cdot)$	11025.cd	12	no	$-1$	$1$	$i$	$-1$	$-i$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{5}{12}\right)$	$1$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{1}{12}\right)$

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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	$11025$
Structure	\(C_{2}\times C_{6}\times C_{420}\)
Order	$5040$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(2\)	\(4\)	\(8\)	\(11\)	\(13\)	\(16\)	\(17\)	\(19\)	\(22\)	\(23\)
\(\chi_{11025}(1,\cdot)\)	11025.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{11025}(2,\cdot)\)	11025.iu	420	yes	\(1\)	\(1\)	\(e\left(\frac{131}{420}\right)\)	\(e\left(\frac{131}{210}\right)\)	\(e\left(\frac{131}{140}\right)\)	\(e\left(\frac{51}{70}\right)\)	\(e\left(\frac{299}{420}\right)\)	\(e\left(\frac{26}{105}\right)\)	\(e\left(\frac{263}{420}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{17}{420}\right)\)	\(e\left(\frac{127}{140}\right)\)
\(\chi_{11025}(4,\cdot)\)	11025.im	210	yes	\(1\)	\(1\)	\(e\left(\frac{131}{210}\right)\)	\(e\left(\frac{26}{105}\right)\)	\(e\left(\frac{61}{70}\right)\)	\(e\left(\frac{16}{35}\right)\)	\(e\left(\frac{89}{210}\right)\)	\(e\left(\frac{52}{105}\right)\)	\(e\left(\frac{53}{210}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{17}{210}\right)\)	\(e\left(\frac{57}{70}\right)\)
\(\chi_{11025}(8,\cdot)\)	11025.hl	140	no	\(1\)	\(1\)	\(e\left(\frac{131}{140}\right)\)	\(e\left(\frac{61}{70}\right)\)	\(e\left(\frac{113}{140}\right)\)	\(e\left(\frac{13}{70}\right)\)	\(e\left(\frac{19}{140}\right)\)	\(e\left(\frac{26}{35}\right)\)	\(e\left(\frac{123}{140}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{17}{140}\right)\)	\(e\left(\frac{101}{140}\right)\)
\(\chi_{11025}(11,\cdot)\)	11025.hq	210	yes	\(-1\)	\(1\)	\(e\left(\frac{51}{70}\right)\)	\(e\left(\frac{16}{35}\right)\)	\(e\left(\frac{13}{70}\right)\)	\(e\left(\frac{13}{210}\right)\)	\(e\left(\frac{101}{105}\right)\)	\(e\left(\frac{32}{35}\right)\)	\(e\left(\frac{149}{210}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{83}{105}\right)\)	\(e\left(\frac{173}{210}\right)\)
\(\chi_{11025}(13,\cdot)\)	11025.iw	420	yes	\(1\)	\(1\)	\(e\left(\frac{299}{420}\right)\)	\(e\left(\frac{89}{210}\right)\)	\(e\left(\frac{19}{140}\right)\)	\(e\left(\frac{101}{105}\right)\)	\(e\left(\frac{271}{420}\right)\)	\(e\left(\frac{89}{105}\right)\)	\(e\left(\frac{139}{140}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{283}{420}\right)\)	\(e\left(\frac{409}{420}\right)\)
\(\chi_{11025}(16,\cdot)\)	11025.hi	105	yes	\(1\)	\(1\)	\(e\left(\frac{26}{105}\right)\)	\(e\left(\frac{52}{105}\right)\)	\(e\left(\frac{26}{35}\right)\)	\(e\left(\frac{32}{35}\right)\)	\(e\left(\frac{89}{105}\right)\)	\(e\left(\frac{104}{105}\right)\)	\(e\left(\frac{53}{105}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{17}{105}\right)\)	\(e\left(\frac{22}{35}\right)\)
\(\chi_{11025}(17,\cdot)\)	11025.jc	420	no	\(-1\)	\(1\)	\(e\left(\frac{263}{420}\right)\)	\(e\left(\frac{53}{210}\right)\)	\(e\left(\frac{123}{140}\right)\)	\(e\left(\frac{149}{210}\right)\)	\(e\left(\frac{139}{140}\right)\)	\(e\left(\frac{53}{105}\right)\)	\(e\left(\frac{349}{420}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{47}{140}\right)\)	\(e\left(\frac{113}{420}\right)\)
\(\chi_{11025}(19,\cdot)\)	11025.dx	30	no	\(-1\)	\(1\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{17}{30}\right)\)
\(\chi_{11025}(22,\cdot)\)	11025.iz	420	yes	\(-1\)	\(1\)	\(e\left(\frac{17}{420}\right)\)	\(e\left(\frac{17}{210}\right)\)	\(e\left(\frac{17}{140}\right)\)	\(e\left(\frac{83}{105}\right)\)	\(e\left(\frac{283}{420}\right)\)	\(e\left(\frac{17}{105}\right)\)	\(e\left(\frac{47}{140}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{349}{420}\right)\)	\(e\left(\frac{307}{420}\right)\)
\(\chi_{11025}(23,\cdot)\)	11025.is	420	yes	\(1\)	\(1\)	\(e\left(\frac{127}{140}\right)\)	\(e\left(\frac{57}{70}\right)\)	\(e\left(\frac{101}{140}\right)\)	\(e\left(\frac{173}{210}\right)\)	\(e\left(\frac{409}{420}\right)\)	\(e\left(\frac{22}{35}\right)\)	\(e\left(\frac{113}{420}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{307}{420}\right)\)	\(e\left(\frac{251}{420}\right)\)
\(\chi_{11025}(26,\cdot)\)	11025.ez	42	no	\(1\)	\(1\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{1}{21}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{5}{14}\right)\)	\(e\left(\frac{2}{21}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{37}{42}\right)\)
\(\chi_{11025}(29,\cdot)\)	11025.hy	210	yes	\(-1\)	\(1\)	\(e\left(\frac{43}{105}\right)\)	\(e\left(\frac{86}{105}\right)\)	\(e\left(\frac{8}{35}\right)\)	\(e\left(\frac{191}{210}\right)\)	\(e\left(\frac{79}{210}\right)\)	\(e\left(\frac{67}{105}\right)\)	\(e\left(\frac{18}{35}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{67}{210}\right)\)	\(e\left(\frac{23}{105}\right)\)
\(\chi_{11025}(31,\cdot)\)	11025.ed	30	no	\(-1\)	\(1\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{2}{5}\right)\)
\(\chi_{11025}(32,\cdot)\)	11025.hb	84	no	\(1\)	\(1\)	\(e\left(\frac{47}{84}\right)\)	\(e\left(\frac{5}{42}\right)\)	\(e\left(\frac{19}{28}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{47}{84}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{11}{84}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{17}{84}\right)\)	\(e\left(\frac{15}{28}\right)\)
\(\chi_{11025}(34,\cdot)\)	11025.ie	210	yes	\(-1\)	\(1\)	\(e\left(\frac{197}{210}\right)\)	\(e\left(\frac{92}{105}\right)\)	\(e\left(\frac{57}{70}\right)\)	\(e\left(\frac{46}{105}\right)\)	\(e\left(\frac{74}{105}\right)\)	\(e\left(\frac{79}{105}\right)\)	\(e\left(\frac{16}{35}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{79}{210}\right)\)	\(e\left(\frac{37}{210}\right)\)
\(\chi_{11025}(37,\cdot)\)	11025.ix	420	no	\(-1\)	\(1\)	\(e\left(\frac{109}{420}\right)\)	\(e\left(\frac{109}{210}\right)\)	\(e\left(\frac{109}{140}\right)\)	\(e\left(\frac{71}{105}\right)\)	\(e\left(\frac{97}{140}\right)\)	\(e\left(\frac{4}{105}\right)\)	\(e\left(\frac{377}{420}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{131}{140}\right)\)	\(e\left(\frac{379}{420}\right)\)
\(\chi_{11025}(38,\cdot)\)	11025.it	420	yes	\(-1\)	\(1\)	\(e\left(\frac{123}{140}\right)\)	\(e\left(\frac{53}{70}\right)\)	\(e\left(\frac{89}{140}\right)\)	\(e\left(\frac{97}{210}\right)\)	\(e\left(\frac{131}{420}\right)\)	\(e\left(\frac{18}{35}\right)\)	\(e\left(\frac{67}{420}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{143}{420}\right)\)	\(e\left(\frac{199}{420}\right)\)
\(\chi_{11025}(41,\cdot)\)	11025.ij	210	yes	\(1\)	\(1\)	\(e\left(\frac{67}{210}\right)\)	\(e\left(\frac{67}{105}\right)\)	\(e\left(\frac{67}{70}\right)\)	\(e\left(\frac{67}{210}\right)\)	\(e\left(\frac{53}{210}\right)\)	\(e\left(\frac{29}{105}\right)\)	\(e\left(\frac{1}{35}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{67}{105}\right)\)	\(e\left(\frac{197}{210}\right)\)
\(\chi_{11025}(43,\cdot)\)	11025.gw	84	no	\(-1\)	\(1\)	\(e\left(\frac{11}{84}\right)\)	\(e\left(\frac{11}{42}\right)\)	\(e\left(\frac{11}{28}\right)\)	\(e\left(\frac{8}{21}\right)\)	\(e\left(\frac{25}{84}\right)\)	\(e\left(\frac{11}{21}\right)\)	\(e\left(\frac{9}{28}\right)\)	\(-1\)	\(e\left(\frac{43}{84}\right)\)	\(e\left(\frac{1}{84}\right)\)
\(\chi_{11025}(44,\cdot)\)	11025.hw	210	no	\(-1\)	\(1\)	\(e\left(\frac{37}{105}\right)\)	\(e\left(\frac{74}{105}\right)\)	\(e\left(\frac{2}{35}\right)\)	\(e\left(\frac{109}{210}\right)\)	\(e\left(\frac{27}{70}\right)\)	\(e\left(\frac{43}{105}\right)\)	\(e\left(\frac{101}{105}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{61}{70}\right)\)	\(e\left(\frac{67}{105}\right)\)
\(\chi_{11025}(46,\cdot)\)	11025.hh	105	no	\(1\)	\(1\)	\(e\left(\frac{23}{105}\right)\)	\(e\left(\frac{46}{105}\right)\)	\(e\left(\frac{23}{35}\right)\)	\(e\left(\frac{58}{105}\right)\)	\(e\left(\frac{24}{35}\right)\)	\(e\left(\frac{92}{105}\right)\)	\(e\left(\frac{94}{105}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{27}{35}\right)\)	\(e\left(\frac{53}{105}\right)\)
\(\chi_{11025}(47,\cdot)\)	11025.iv	420	yes	\(-1\)	\(1\)	\(e\left(\frac{47}{420}\right)\)	\(e\left(\frac{47}{210}\right)\)	\(e\left(\frac{47}{140}\right)\)	\(e\left(\frac{37}{70}\right)\)	\(e\left(\frac{173}{420}\right)\)	\(e\left(\frac{47}{105}\right)\)	\(e\left(\frac{221}{420}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{269}{420}\right)\)	\(e\left(\frac{99}{140}\right)\)
\(\chi_{11025}(52,\cdot)\)	11025.ir	420	yes	\(1\)	\(1\)	\(e\left(\frac{47}{140}\right)\)	\(e\left(\frac{47}{70}\right)\)	\(e\left(\frac{1}{140}\right)\)	\(e\left(\frac{44}{105}\right)\)	\(e\left(\frac{29}{420}\right)\)	\(e\left(\frac{12}{35}\right)\)	\(e\left(\frac{103}{420}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{317}{420}\right)\)	\(e\left(\frac{331}{420}\right)\)
\(\chi_{11025}(53,\cdot)\)	11025.jb	420	no	\(1\)	\(1\)	\(e\left(\frac{17}{420}\right)\)	\(e\left(\frac{17}{210}\right)\)	\(e\left(\frac{17}{140}\right)\)	\(e\left(\frac{131}{210}\right)\)	\(e\left(\frac{71}{140}\right)\)	\(e\left(\frac{17}{105}\right)\)	\(e\left(\frac{1}{420}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{93}{140}\right)\)	\(e\left(\frac{167}{420}\right)\)
\(\chi_{11025}(58,\cdot)\)	11025.iq	420	yes	\(-1\)	\(1\)	\(e\left(\frac{101}{140}\right)\)	\(e\left(\frac{31}{70}\right)\)	\(e\left(\frac{23}{140}\right)\)	\(e\left(\frac{67}{105}\right)\)	\(e\left(\frac{37}{420}\right)\)	\(e\left(\frac{31}{35}\right)\)	\(e\left(\frac{59}{420}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{151}{420}\right)\)	\(e\left(\frac{53}{420}\right)\)
\(\chi_{11025}(59,\cdot)\)	11025.hs	210	yes	\(1\)	\(1\)	\(e\left(\frac{61}{105}\right)\)	\(e\left(\frac{17}{105}\right)\)	\(e\left(\frac{26}{35}\right)\)	\(e\left(\frac{29}{70}\right)\)	\(e\left(\frac{19}{105}\right)\)	\(e\left(\frac{34}{105}\right)\)	\(e\left(\frac{71}{210}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{209}{210}\right)\)	\(e\left(\frac{22}{35}\right)\)
\(\chi_{11025}(61,\cdot)\)	11025.ia	210	yes	\(-1\)	\(1\)	\(e\left(\frac{29}{105}\right)\)	\(e\left(\frac{58}{105}\right)\)	\(e\left(\frac{29}{35}\right)\)	\(e\left(\frac{33}{35}\right)\)	\(e\left(\frac{37}{210}\right)\)	\(e\left(\frac{11}{105}\right)\)	\(e\left(\frac{199}{210}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{23}{105}\right)\)	\(e\left(\frac{3}{35}\right)\)
\(\chi_{11025}(62,\cdot)\)	11025.hk	140	no	\(-1\)	\(1\)	\(e\left(\frac{53}{140}\right)\)	\(e\left(\frac{53}{70}\right)\)	\(e\left(\frac{19}{140}\right)\)	\(e\left(\frac{9}{70}\right)\)	\(e\left(\frac{67}{140}\right)\)	\(e\left(\frac{18}{35}\right)\)	\(e\left(\frac{139}{140}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{71}{140}\right)\)	\(e\left(\frac{43}{140}\right)\)
\(\chi_{11025}(64,\cdot)\)	11025.gl	70	no	\(1\)	\(1\)	\(e\left(\frac{61}{70}\right)\)	\(e\left(\frac{26}{35}\right)\)	\(e\left(\frac{43}{70}\right)\)	\(e\left(\frac{13}{35}\right)\)	\(e\left(\frac{19}{70}\right)\)	\(e\left(\frac{17}{35}\right)\)	\(e\left(\frac{53}{70}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{17}{70}\right)\)	\(e\left(\frac{31}{70}\right)\)
\(\chi_{11025}(67,\cdot)\)	11025.ft	60	no	\(-1\)	\(1\)	\(e\left(\frac{19}{60}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{19}{20}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{1}{60}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{7}{60}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{43}{60}\right)\)	\(e\left(\frac{3}{20}\right)\)
\(\chi_{11025}(68,\cdot)\)	11025.cd	12	no	\(-1\)	\(1\)	\(i\)	\(-1\)	\(-i\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(1\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{1}{12}\right)\)

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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.