LMFDB - Group of Dirichlet characters of modulus 3025

Show commands: PariGP / SageMath

sage: H = DirichletGroup(3025)

pari: g = idealstar(,3025,2)

Character group

sage: G.order() pari: g.no
Order	=	2200
sage: H.invariants() pari: g.cyc
Structure	=	$C_{10}\times C_{220}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{3025}(727,\cdot)$, $\chi_{3025}(2301,\cdot)$

First 32 of 2200 characters

Each row describes a character. When available, the columns show the orbit label, order of the character, whether the character is primitive, and several values of the character.

Character	Orbit	Order	Primitive	$-1$	$1$	$2$	$3$	$4$	$6$	$7$	$8$	$9$	$12$	$13$	$14$
$\chi_{3025}(1,\cdot)$	3025.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{3025}(2,\cdot)$	3025.cx	220	yes	$1$	$1$	$e\left(\frac{13}{220}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{13}{110}\right)$	$e\left(\frac{23}{110}\right)$	$e\left(\frac{69}{220}\right)$	$e\left(\frac{39}{220}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{59}{220}\right)$	$e\left(\frac{191}{220}\right)$	$e\left(\frac{41}{110}\right)$
$\chi_{3025}(3,\cdot)$	3025.bq	20	no	$-1$	$1$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{3}{10}\right)$	$1$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{9}{20}\right)$	$-1$
$\chi_{3025}(4,\cdot)$	3025.cj	110	yes	$1$	$1$	$e\left(\frac{13}{110}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{13}{55}\right)$	$e\left(\frac{23}{55}\right)$	$e\left(\frac{69}{110}\right)$	$e\left(\frac{39}{110}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{59}{110}\right)$	$e\left(\frac{81}{110}\right)$	$e\left(\frac{41}{55}\right)$
$\chi_{3025}(6,\cdot)$	3025.cm	110	yes	$-1$	$1$	$e\left(\frac{23}{110}\right)$	$1$	$e\left(\frac{23}{55}\right)$	$e\left(\frac{23}{110}\right)$	$e\left(\frac{73}{110}\right)$	$e\left(\frac{69}{110}\right)$	$1$	$e\left(\frac{23}{55}\right)$	$e\left(\frac{7}{22}\right)$	$e\left(\frac{48}{55}\right)$
$\chi_{3025}(7,\cdot)$	3025.cy	220	no	$1$	$1$	$e\left(\frac{69}{220}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{69}{110}\right)$	$e\left(\frac{73}{110}\right)$	$e\left(\frac{153}{220}\right)$	$e\left(\frac{207}{220}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{43}{44}\right)$	$e\left(\frac{39}{220}\right)$	$e\left(\frac{1}{110}\right)$
$\chi_{3025}(8,\cdot)$	3025.cx	220	yes	$1$	$1$	$e\left(\frac{39}{220}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{39}{110}\right)$	$e\left(\frac{69}{110}\right)$	$e\left(\frac{207}{220}\right)$	$e\left(\frac{117}{220}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{177}{220}\right)$	$e\left(\frac{133}{220}\right)$	$e\left(\frac{13}{110}\right)$
$\chi_{3025}(9,\cdot)$	3025.bb	10	no	$1$	$1$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{3}{5}\right)$	$1$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{9}{10}\right)$	$1$
$\chi_{3025}(12,\cdot)$	3025.dc	220	yes	$-1$	$1$	$e\left(\frac{59}{220}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{59}{110}\right)$	$e\left(\frac{23}{55}\right)$	$e\left(\frac{43}{44}\right)$	$e\left(\frac{177}{220}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{151}{220}\right)$	$e\left(\frac{41}{220}\right)$	$e\left(\frac{27}{110}\right)$
$\chi_{3025}(13,\cdot)$	3025.dd	220	yes	$1$	$1$	$e\left(\frac{191}{220}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{81}{110}\right)$	$e\left(\frac{7}{22}\right)$	$e\left(\frac{39}{220}\right)$	$e\left(\frac{133}{220}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{41}{220}\right)$	$e\left(\frac{173}{220}\right)$	$e\left(\frac{1}{22}\right)$
$\chi_{3025}(14,\cdot)$	3025.cd	110	yes	$1$	$1$	$e\left(\frac{41}{110}\right)$	$-1$	$e\left(\frac{41}{55}\right)$	$e\left(\frac{48}{55}\right)$	$e\left(\frac{1}{110}\right)$	$e\left(\frac{13}{110}\right)$	$1$	$e\left(\frac{27}{110}\right)$	$e\left(\frac{1}{22}\right)$	$e\left(\frac{21}{55}\right)$
$\chi_{3025}(16,\cdot)$	3025.ca	55	yes	$1$	$1$	$e\left(\frac{13}{55}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{26}{55}\right)$	$e\left(\frac{46}{55}\right)$	$e\left(\frac{14}{55}\right)$	$e\left(\frac{39}{55}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{4}{55}\right)$	$e\left(\frac{26}{55}\right)$	$e\left(\frac{27}{55}\right)$
$\chi_{3025}(17,\cdot)$	3025.cv	220	yes	$1$	$1$	$e\left(\frac{21}{220}\right)$	$-i$	$e\left(\frac{21}{110}\right)$	$e\left(\frac{93}{110}\right)$	$e\left(\frac{81}{220}\right)$	$e\left(\frac{63}{220}\right)$	$-1$	$e\left(\frac{207}{220}\right)$	$e\left(\frac{15}{44}\right)$	$e\left(\frac{51}{110}\right)$
$\chi_{3025}(18,\cdot)$	3025.cy	220	no	$1$	$1$	$e\left(\frac{79}{220}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{79}{110}\right)$	$e\left(\frac{23}{110}\right)$	$e\left(\frac{3}{220}\right)$	$e\left(\frac{17}{220}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{25}{44}\right)$	$e\left(\frac{169}{220}\right)$	$e\left(\frac{41}{110}\right)$
$\chi_{3025}(19,\cdot)$	3025.cp	110	yes	$-1$	$1$	$e\left(\frac{36}{55}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{17}{55}\right)$	$e\left(\frac{39}{110}\right)$	$e\left(\frac{43}{55}\right)$	$e\left(\frac{53}{55}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{1}{110}\right)$	$e\left(\frac{17}{55}\right)$	$e\left(\frac{24}{55}\right)$
$\chi_{3025}(21,\cdot)$	3025.cg	110	yes	$-1$	$1$	$e\left(\frac{51}{110}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{51}{55}\right)$	$e\left(\frac{73}{110}\right)$	$e\left(\frac{1}{22}\right)$	$e\left(\frac{43}{110}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{7}{55}\right)$	$e\left(\frac{69}{110}\right)$	$e\left(\frac{28}{55}\right)$
$\chi_{3025}(23,\cdot)$	3025.dc	220	yes	$-1$	$1$	$e\left(\frac{41}{220}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{41}{110}\right)$	$e\left(\frac{2}{55}\right)$	$e\left(\frac{9}{44}\right)$	$e\left(\frac{123}{220}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{49}{220}\right)$	$e\left(\frac{159}{220}\right)$	$e\left(\frac{43}{110}\right)$
$\chi_{3025}(24,\cdot)$	3025.cq	110	no	$-1$	$1$	$e\left(\frac{18}{55}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{36}{55}\right)$	$e\left(\frac{69}{110}\right)$	$e\left(\frac{16}{55}\right)$	$e\left(\frac{54}{55}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{21}{22}\right)$	$e\left(\frac{3}{55}\right)$	$e\left(\frac{34}{55}\right)$
$\chi_{3025}(26,\cdot)$	3025.bz	55	no	$1$	$1$	$e\left(\frac{51}{55}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{47}{55}\right)$	$e\left(\frac{29}{55}\right)$	$e\left(\frac{27}{55}\right)$	$e\left(\frac{43}{55}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{5}{11}\right)$	$e\left(\frac{36}{55}\right)$	$e\left(\frac{23}{55}\right)$
$\chi_{3025}(27,\cdot)$	3025.bq	20	no	$-1$	$1$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{9}{10}\right)$	$1$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{7}{20}\right)$	$-1$
$\chi_{3025}(28,\cdot)$	3025.de	220	yes	$1$	$1$	$e\left(\frac{19}{44}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{19}{22}\right)$	$e\left(\frac{9}{110}\right)$	$e\left(\frac{71}{220}\right)$	$e\left(\frac{13}{44}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{113}{220}\right)$	$e\left(\frac{201}{220}\right)$	$e\left(\frac{83}{110}\right)$
$\chi_{3025}(29,\cdot)$	3025.cp	110	yes	$-1$	$1$	$e\left(\frac{14}{55}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{28}{55}\right)$	$e\left(\frac{61}{110}\right)$	$e\left(\frac{32}{55}\right)$	$e\left(\frac{42}{55}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{89}{110}\right)$	$e\left(\frac{28}{55}\right)$	$e\left(\frac{46}{55}\right)$
$\chi_{3025}(31,\cdot)$	3025.bw	55	yes	$1$	$1$	$e\left(\frac{2}{11}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{4}{11}\right)$	$e\left(\frac{43}{55}\right)$	$e\left(\frac{26}{55}\right)$	$e\left(\frac{6}{11}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{53}{55}\right)$	$e\left(\frac{31}{55}\right)$	$e\left(\frac{36}{55}\right)$
$\chi_{3025}(32,\cdot)$	3025.bv	44	no	$1$	$1$	$e\left(\frac{13}{44}\right)$	$-i$	$e\left(\frac{13}{22}\right)$	$e\left(\frac{1}{22}\right)$	$e\left(\frac{25}{44}\right)$	$e\left(\frac{39}{44}\right)$	$-1$	$e\left(\frac{15}{44}\right)$	$e\left(\frac{15}{44}\right)$	$e\left(\frac{19}{22}\right)$
$\chi_{3025}(34,\cdot)$	3025.cl	110	yes	$1$	$1$	$e\left(\frac{17}{110}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{17}{55}\right)$	$e\left(\frac{3}{55}\right)$	$e\left(\frac{15}{22}\right)$	$e\left(\frac{51}{110}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{23}{110}\right)$	$e\left(\frac{23}{110}\right)$	$e\left(\frac{46}{55}\right)$
$\chi_{3025}(36,\cdot)$	3025.cb	55	yes	$1$	$1$	$e\left(\frac{23}{55}\right)$	$1$	$e\left(\frac{46}{55}\right)$	$e\left(\frac{23}{55}\right)$	$e\left(\frac{18}{55}\right)$	$e\left(\frac{14}{55}\right)$	$1$	$e\left(\frac{46}{55}\right)$	$e\left(\frac{7}{11}\right)$	$e\left(\frac{41}{55}\right)$
$\chi_{3025}(37,\cdot)$	3025.cz	220	yes	$-1$	$1$	$e\left(\frac{183}{220}\right)$	$-i$	$e\left(\frac{73}{110}\right)$	$e\left(\frac{32}{55}\right)$	$e\left(\frac{203}{220}\right)$	$e\left(\frac{109}{220}\right)$	$-1$	$e\left(\frac{91}{220}\right)$	$e\left(\frac{5}{44}\right)$	$e\left(\frac{83}{110}\right)$
$\chi_{3025}(38,\cdot)$	3025.db	220	yes	$-1$	$1$	$e\left(\frac{157}{220}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{47}{110}\right)$	$e\left(\frac{31}{55}\right)$	$e\left(\frac{21}{220}\right)$	$e\left(\frac{31}{220}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{61}{220}\right)$	$e\left(\frac{39}{220}\right)$	$e\left(\frac{89}{110}\right)$
$\chi_{3025}(39,\cdot)$	3025.cr	110	yes	$-1$	$1$	$e\left(\frac{1}{55}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{2}{55}\right)$	$e\left(\frac{7}{22}\right)$	$e\left(\frac{29}{55}\right)$	$e\left(\frac{3}{55}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{37}{110}\right)$	$e\left(\frac{13}{55}\right)$	$e\left(\frac{6}{11}\right)$
$\chi_{3025}(41,\cdot)$	3025.cs	110	yes	$-1$	$1$	$e\left(\frac{9}{22}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{9}{11}\right)$	$e\left(\frac{23}{110}\right)$	$e\left(\frac{51}{110}\right)$	$e\left(\frac{5}{22}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{34}{55}\right)$	$e\left(\frac{101}{110}\right)$	$e\left(\frac{48}{55}\right)$
$\chi_{3025}(42,\cdot)$	3025.df	220	yes	$-1$	$1$	$e\left(\frac{23}{44}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{1}{22}\right)$	$e\left(\frac{48}{55}\right)$	$e\left(\frac{79}{220}\right)$	$e\left(\frac{25}{44}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{87}{220}\right)$	$e\left(\frac{109}{220}\right)$	$e\left(\frac{97}{110}\right)$
$\chi_{3025}(43,\cdot)$	3025.bv	44	no	$1$	$1$	$e\left(\frac{43}{44}\right)$	$i$	$e\left(\frac{21}{22}\right)$	$e\left(\frac{5}{22}\right)$	$e\left(\frac{15}{44}\right)$	$e\left(\frac{41}{44}\right)$	$-1$	$e\left(\frac{9}{44}\right)$	$e\left(\frac{9}{44}\right)$	$e\left(\frac{7}{22}\right)$

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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	$3025$
Structure	\(C_{10}\times C_{220}\)
Order	$2200$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(12\)	\(13\)	\(14\)
\(\chi_{3025}(1,\cdot)\)	3025.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{3025}(2,\cdot)\)	3025.cx	220	yes	\(1\)	\(1\)	\(e\left(\frac{13}{220}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{13}{110}\right)\)	\(e\left(\frac{23}{110}\right)\)	\(e\left(\frac{69}{220}\right)\)	\(e\left(\frac{39}{220}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{59}{220}\right)\)	\(e\left(\frac{191}{220}\right)\)	\(e\left(\frac{41}{110}\right)\)
\(\chi_{3025}(3,\cdot)\)	3025.bq	20	no	\(-1\)	\(1\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{17}{20}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(1\)	\(e\left(\frac{7}{20}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(-1\)
\(\chi_{3025}(4,\cdot)\)	3025.cj	110	yes	\(1\)	\(1\)	\(e\left(\frac{13}{110}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{13}{55}\right)\)	\(e\left(\frac{23}{55}\right)\)	\(e\left(\frac{69}{110}\right)\)	\(e\left(\frac{39}{110}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{59}{110}\right)\)	\(e\left(\frac{81}{110}\right)\)	\(e\left(\frac{41}{55}\right)\)
\(\chi_{3025}(6,\cdot)\)	3025.cm	110	yes	\(-1\)	\(1\)	\(e\left(\frac{23}{110}\right)\)	\(1\)	\(e\left(\frac{23}{55}\right)\)	\(e\left(\frac{23}{110}\right)\)	\(e\left(\frac{73}{110}\right)\)	\(e\left(\frac{69}{110}\right)\)	\(1\)	\(e\left(\frac{23}{55}\right)\)	\(e\left(\frac{7}{22}\right)\)	\(e\left(\frac{48}{55}\right)\)
\(\chi_{3025}(7,\cdot)\)	3025.cy	220	no	\(1\)	\(1\)	\(e\left(\frac{69}{220}\right)\)	\(e\left(\frac{7}{20}\right)\)	\(e\left(\frac{69}{110}\right)\)	\(e\left(\frac{73}{110}\right)\)	\(e\left(\frac{153}{220}\right)\)	\(e\left(\frac{207}{220}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{43}{44}\right)\)	\(e\left(\frac{39}{220}\right)\)	\(e\left(\frac{1}{110}\right)\)
\(\chi_{3025}(8,\cdot)\)	3025.cx	220	yes	\(1\)	\(1\)	\(e\left(\frac{39}{220}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{39}{110}\right)\)	\(e\left(\frac{69}{110}\right)\)	\(e\left(\frac{207}{220}\right)\)	\(e\left(\frac{117}{220}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{177}{220}\right)\)	\(e\left(\frac{133}{220}\right)\)	\(e\left(\frac{13}{110}\right)\)
\(\chi_{3025}(9,\cdot)\)	3025.bb	10	no	\(1\)	\(1\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(1\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(1\)
\(\chi_{3025}(12,\cdot)\)	3025.dc	220	yes	\(-1\)	\(1\)	\(e\left(\frac{59}{220}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{59}{110}\right)\)	\(e\left(\frac{23}{55}\right)\)	\(e\left(\frac{43}{44}\right)\)	\(e\left(\frac{177}{220}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{151}{220}\right)\)	\(e\left(\frac{41}{220}\right)\)	\(e\left(\frac{27}{110}\right)\)
\(\chi_{3025}(13,\cdot)\)	3025.dd	220	yes	\(1\)	\(1\)	\(e\left(\frac{191}{220}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{81}{110}\right)\)	\(e\left(\frac{7}{22}\right)\)	\(e\left(\frac{39}{220}\right)\)	\(e\left(\frac{133}{220}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{41}{220}\right)\)	\(e\left(\frac{173}{220}\right)\)	\(e\left(\frac{1}{22}\right)\)
\(\chi_{3025}(14,\cdot)\)	3025.cd	110	yes	\(1\)	\(1\)	\(e\left(\frac{41}{110}\right)\)	\(-1\)	\(e\left(\frac{41}{55}\right)\)	\(e\left(\frac{48}{55}\right)\)	\(e\left(\frac{1}{110}\right)\)	\(e\left(\frac{13}{110}\right)\)	\(1\)	\(e\left(\frac{27}{110}\right)\)	\(e\left(\frac{1}{22}\right)\)	\(e\left(\frac{21}{55}\right)\)
\(\chi_{3025}(16,\cdot)\)	3025.ca	55	yes	\(1\)	\(1\)	\(e\left(\frac{13}{55}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{26}{55}\right)\)	\(e\left(\frac{46}{55}\right)\)	\(e\left(\frac{14}{55}\right)\)	\(e\left(\frac{39}{55}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{4}{55}\right)\)	\(e\left(\frac{26}{55}\right)\)	\(e\left(\frac{27}{55}\right)\)
\(\chi_{3025}(17,\cdot)\)	3025.cv	220	yes	\(1\)	\(1\)	\(e\left(\frac{21}{220}\right)\)	\(-i\)	\(e\left(\frac{21}{110}\right)\)	\(e\left(\frac{93}{110}\right)\)	\(e\left(\frac{81}{220}\right)\)	\(e\left(\frac{63}{220}\right)\)	\(-1\)	\(e\left(\frac{207}{220}\right)\)	\(e\left(\frac{15}{44}\right)\)	\(e\left(\frac{51}{110}\right)\)
\(\chi_{3025}(18,\cdot)\)	3025.cy	220	no	\(1\)	\(1\)	\(e\left(\frac{79}{220}\right)\)	\(e\left(\frac{17}{20}\right)\)	\(e\left(\frac{79}{110}\right)\)	\(e\left(\frac{23}{110}\right)\)	\(e\left(\frac{3}{220}\right)\)	\(e\left(\frac{17}{220}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{25}{44}\right)\)	\(e\left(\frac{169}{220}\right)\)	\(e\left(\frac{41}{110}\right)\)
\(\chi_{3025}(19,\cdot)\)	3025.cp	110	yes	\(-1\)	\(1\)	\(e\left(\frac{36}{55}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{17}{55}\right)\)	\(e\left(\frac{39}{110}\right)\)	\(e\left(\frac{43}{55}\right)\)	\(e\left(\frac{53}{55}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{1}{110}\right)\)	\(e\left(\frac{17}{55}\right)\)	\(e\left(\frac{24}{55}\right)\)
\(\chi_{3025}(21,\cdot)\)	3025.cg	110	yes	\(-1\)	\(1\)	\(e\left(\frac{51}{110}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{51}{55}\right)\)	\(e\left(\frac{73}{110}\right)\)	\(e\left(\frac{1}{22}\right)\)	\(e\left(\frac{43}{110}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{7}{55}\right)\)	\(e\left(\frac{69}{110}\right)\)	\(e\left(\frac{28}{55}\right)\)
\(\chi_{3025}(23,\cdot)\)	3025.dc	220	yes	\(-1\)	\(1\)	\(e\left(\frac{41}{220}\right)\)	\(e\left(\frac{17}{20}\right)\)	\(e\left(\frac{41}{110}\right)\)	\(e\left(\frac{2}{55}\right)\)	\(e\left(\frac{9}{44}\right)\)	\(e\left(\frac{123}{220}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{49}{220}\right)\)	\(e\left(\frac{159}{220}\right)\)	\(e\left(\frac{43}{110}\right)\)
\(\chi_{3025}(24,\cdot)\)	3025.cq	110	no	\(-1\)	\(1\)	\(e\left(\frac{18}{55}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{36}{55}\right)\)	\(e\left(\frac{69}{110}\right)\)	\(e\left(\frac{16}{55}\right)\)	\(e\left(\frac{54}{55}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{21}{22}\right)\)	\(e\left(\frac{3}{55}\right)\)	\(e\left(\frac{34}{55}\right)\)
\(\chi_{3025}(26,\cdot)\)	3025.bz	55	no	\(1\)	\(1\)	\(e\left(\frac{51}{55}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{47}{55}\right)\)	\(e\left(\frac{29}{55}\right)\)	\(e\left(\frac{27}{55}\right)\)	\(e\left(\frac{43}{55}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{5}{11}\right)\)	\(e\left(\frac{36}{55}\right)\)	\(e\left(\frac{23}{55}\right)\)
\(\chi_{3025}(27,\cdot)\)	3025.bq	20	no	\(-1\)	\(1\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{11}{20}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(1\)	\(e\left(\frac{1}{20}\right)\)	\(e\left(\frac{7}{20}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{7}{20}\right)\)	\(-1\)
\(\chi_{3025}(28,\cdot)\)	3025.de	220	yes	\(1\)	\(1\)	\(e\left(\frac{19}{44}\right)\)	\(e\left(\frac{13}{20}\right)\)	\(e\left(\frac{19}{22}\right)\)	\(e\left(\frac{9}{110}\right)\)	\(e\left(\frac{71}{220}\right)\)	\(e\left(\frac{13}{44}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{113}{220}\right)\)	\(e\left(\frac{201}{220}\right)\)	\(e\left(\frac{83}{110}\right)\)
\(\chi_{3025}(29,\cdot)\)	3025.cp	110	yes	\(-1\)	\(1\)	\(e\left(\frac{14}{55}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{28}{55}\right)\)	\(e\left(\frac{61}{110}\right)\)	\(e\left(\frac{32}{55}\right)\)	\(e\left(\frac{42}{55}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{89}{110}\right)\)	\(e\left(\frac{28}{55}\right)\)	\(e\left(\frac{46}{55}\right)\)
\(\chi_{3025}(31,\cdot)\)	3025.bw	55	yes	\(1\)	\(1\)	\(e\left(\frac{2}{11}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{4}{11}\right)\)	\(e\left(\frac{43}{55}\right)\)	\(e\left(\frac{26}{55}\right)\)	\(e\left(\frac{6}{11}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{53}{55}\right)\)	\(e\left(\frac{31}{55}\right)\)	\(e\left(\frac{36}{55}\right)\)
\(\chi_{3025}(32,\cdot)\)	3025.bv	44	no	\(1\)	\(1\)	\(e\left(\frac{13}{44}\right)\)	\(-i\)	\(e\left(\frac{13}{22}\right)\)	\(e\left(\frac{1}{22}\right)\)	\(e\left(\frac{25}{44}\right)\)	\(e\left(\frac{39}{44}\right)\)	\(-1\)	\(e\left(\frac{15}{44}\right)\)	\(e\left(\frac{15}{44}\right)\)	\(e\left(\frac{19}{22}\right)\)
\(\chi_{3025}(34,\cdot)\)	3025.cl	110	yes	\(1\)	\(1\)	\(e\left(\frac{17}{110}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{17}{55}\right)\)	\(e\left(\frac{3}{55}\right)\)	\(e\left(\frac{15}{22}\right)\)	\(e\left(\frac{51}{110}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{23}{110}\right)\)	\(e\left(\frac{23}{110}\right)\)	\(e\left(\frac{46}{55}\right)\)
\(\chi_{3025}(36,\cdot)\)	3025.cb	55	yes	\(1\)	\(1\)	\(e\left(\frac{23}{55}\right)\)	\(1\)	\(e\left(\frac{46}{55}\right)\)	\(e\left(\frac{23}{55}\right)\)	\(e\left(\frac{18}{55}\right)\)	\(e\left(\frac{14}{55}\right)\)	\(1\)	\(e\left(\frac{46}{55}\right)\)	\(e\left(\frac{7}{11}\right)\)	\(e\left(\frac{41}{55}\right)\)
\(\chi_{3025}(37,\cdot)\)	3025.cz	220	yes	\(-1\)	\(1\)	\(e\left(\frac{183}{220}\right)\)	\(-i\)	\(e\left(\frac{73}{110}\right)\)	\(e\left(\frac{32}{55}\right)\)	\(e\left(\frac{203}{220}\right)\)	\(e\left(\frac{109}{220}\right)\)	\(-1\)	\(e\left(\frac{91}{220}\right)\)	\(e\left(\frac{5}{44}\right)\)	\(e\left(\frac{83}{110}\right)\)
\(\chi_{3025}(38,\cdot)\)	3025.db	220	yes	\(-1\)	\(1\)	\(e\left(\frac{157}{220}\right)\)	\(e\left(\frac{17}{20}\right)\)	\(e\left(\frac{47}{110}\right)\)	\(e\left(\frac{31}{55}\right)\)	\(e\left(\frac{21}{220}\right)\)	\(e\left(\frac{31}{220}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{61}{220}\right)\)	\(e\left(\frac{39}{220}\right)\)	\(e\left(\frac{89}{110}\right)\)
\(\chi_{3025}(39,\cdot)\)	3025.cr	110	yes	\(-1\)	\(1\)	\(e\left(\frac{1}{55}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{2}{55}\right)\)	\(e\left(\frac{7}{22}\right)\)	\(e\left(\frac{29}{55}\right)\)	\(e\left(\frac{3}{55}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{37}{110}\right)\)	\(e\left(\frac{13}{55}\right)\)	\(e\left(\frac{6}{11}\right)\)
\(\chi_{3025}(41,\cdot)\)	3025.cs	110	yes	\(-1\)	\(1\)	\(e\left(\frac{9}{22}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{9}{11}\right)\)	\(e\left(\frac{23}{110}\right)\)	\(e\left(\frac{51}{110}\right)\)	\(e\left(\frac{5}{22}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{34}{55}\right)\)	\(e\left(\frac{101}{110}\right)\)	\(e\left(\frac{48}{55}\right)\)
\(\chi_{3025}(42,\cdot)\)	3025.df	220	yes	\(-1\)	\(1\)	\(e\left(\frac{23}{44}\right)\)	\(e\left(\frac{7}{20}\right)\)	\(e\left(\frac{1}{22}\right)\)	\(e\left(\frac{48}{55}\right)\)	\(e\left(\frac{79}{220}\right)\)	\(e\left(\frac{25}{44}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{87}{220}\right)\)	\(e\left(\frac{109}{220}\right)\)	\(e\left(\frac{97}{110}\right)\)
\(\chi_{3025}(43,\cdot)\)	3025.bv	44	no	\(1\)	\(1\)	\(e\left(\frac{43}{44}\right)\)	\(i\)	\(e\left(\frac{21}{22}\right)\)	\(e\left(\frac{5}{22}\right)\)	\(e\left(\frac{15}{44}\right)\)	\(e\left(\frac{41}{44}\right)\)	\(-1\)	\(e\left(\frac{9}{44}\right)\)	\(e\left(\frac{9}{44}\right)\)	\(e\left(\frac{7}{22}\right)\)

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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.