LMFDB - Group of Dirichlet characters of modulus 332928

Show commands: PariGP / SageMath

sage: H = DirichletGroup(332928)

pari: g = idealstar(,332928,2)

Character group

sage: G.order() pari: g.no
Order	=	104448
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{16}\times C_{1632}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{332928}(202879,\cdot)$, $\chi_{332928}(260101,\cdot)$, $\chi_{332928}(184961,\cdot)$, $\chi_{332928}(165889,\cdot)$

First 32 of 104448 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	$-1$	$1$	$5$	$7$	$11$	$13$	$19$	$23$	$25$	$29$	$31$	$35$
$\chi_{332928}(1,\cdot)$	332928.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{332928}(5,\cdot)$	332928.bkk	1632	yes	$1$	$1$	$e\left(\frac{1625}{1632}\right)$	$e\left(\frac{29}{204}\right)$	$e\left(\frac{1393}{1632}\right)$	$e\left(\frac{245}{1632}\right)$	$e\left(\frac{275}{544}\right)$	$e\left(\frac{143}{408}\right)$	$e\left(\frac{809}{816}\right)$	$e\left(\frac{1495}{1632}\right)$	$e\left(\frac{403}{816}\right)$	$e\left(\frac{75}{544}\right)$
$\chi_{332928}(7,\cdot)$	332928.bhf	816	no	$1$	$1$	$e\left(\frac{29}{204}\right)$	$e\left(\frac{505}{816}\right)$	$e\left(\frac{341}{408}\right)$	$e\left(\frac{581}{816}\right)$	$e\left(\frac{181}{272}\right)$	$e\left(\frac{233}{816}\right)$	$e\left(\frac{29}{102}\right)$	$e\left(\frac{137}{408}\right)$	$e\left(\frac{377}{816}\right)$	$e\left(\frac{207}{272}\right)$
$\chi_{332928}(11,\cdot)$	332928.blq	1632	yes	$-1$	$1$	$e\left(\frac{1393}{1632}\right)$	$e\left(\frac{341}{408}\right)$	$e\left(\frac{641}{1632}\right)$	$e\left(\frac{1225}{1632}\right)$	$e\left(\frac{423}{544}\right)$	$e\left(\frac{77}{204}\right)$	$e\left(\frac{577}{816}\right)$	$e\left(\frac{743}{1632}\right)$	$e\left(\frac{689}{816}\right)$	$e\left(\frac{375}{544}\right)$
$\chi_{332928}(13,\cdot)$	332928.blv	1632	yes	$1$	$1$	$e\left(\frac{245}{1632}\right)$	$e\left(\frac{581}{816}\right)$	$e\left(\frac{1225}{1632}\right)$	$e\left(\frac{1523}{1632}\right)$	$e\left(\frac{473}{544}\right)$	$e\left(\frac{751}{816}\right)$	$e\left(\frac{245}{816}\right)$	$e\left(\frac{103}{1632}\right)$	$e\left(\frac{46}{51}\right)$	$e\left(\frac{469}{544}\right)$
$\chi_{332928}(19,\cdot)$	332928.bei	544	no	$-1$	$1$	$e\left(\frac{275}{544}\right)$	$e\left(\frac{181}{272}\right)$	$e\left(\frac{423}{544}\right)$	$e\left(\frac{473}{544}\right)$	$e\left(\frac{409}{544}\right)$	$e\left(\frac{11}{272}\right)$	$e\left(\frac{3}{272}\right)$	$e\left(\frac{457}{544}\right)$	$e\left(\frac{97}{136}\right)$	$e\left(\frac{93}{544}\right)$
$\chi_{332928}(23,\cdot)$	332928.bhj	816	no	$-1$	$1$	$e\left(\frac{143}{408}\right)$	$e\left(\frac{233}{816}\right)$	$e\left(\frac{77}{204}\right)$	$e\left(\frac{751}{816}\right)$	$e\left(\frac{11}{272}\right)$	$e\left(\frac{505}{816}\right)$	$e\left(\frac{143}{204}\right)$	$e\left(\frac{13}{102}\right)$	$e\left(\frac{37}{816}\right)$	$e\left(\frac{173}{272}\right)$
$\chi_{332928}(25,\cdot)$	332928.bgg	816	no	$1$	$1$	$e\left(\frac{809}{816}\right)$	$e\left(\frac{29}{102}\right)$	$e\left(\frac{577}{816}\right)$	$e\left(\frac{245}{816}\right)$	$e\left(\frac{3}{272}\right)$	$e\left(\frac{143}{204}\right)$	$e\left(\frac{401}{408}\right)$	$e\left(\frac{679}{816}\right)$	$e\left(\frac{403}{408}\right)$	$e\left(\frac{75}{272}\right)$
$\chi_{332928}(29,\cdot)$	332928.bjy	1632	yes	$1$	$1$	$e\left(\frac{1495}{1632}\right)$	$e\left(\frac{137}{408}\right)$	$e\left(\frac{743}{1632}\right)$	$e\left(\frac{103}{1632}\right)$	$e\left(\frac{457}{544}\right)$	$e\left(\frac{13}{102}\right)$	$e\left(\frac{679}{816}\right)$	$e\left(\frac{641}{1632}\right)$	$e\left(\frac{179}{816}\right)$	$e\left(\frac{137}{544}\right)$
$\chi_{332928}(31,\cdot)$	332928.bje	816	no	$1$	$1$	$e\left(\frac{403}{816}\right)$	$e\left(\frac{377}{816}\right)$	$e\left(\frac{689}{816}\right)$	$e\left(\frac{46}{51}\right)$	$e\left(\frac{97}{136}\right)$	$e\left(\frac{37}{816}\right)$	$e\left(\frac{403}{408}\right)$	$e\left(\frac{179}{816}\right)$	$e\left(\frac{379}{816}\right)$	$e\left(\frac{65}{68}\right)$
$\chi_{332928}(35,\cdot)$	332928.bfb	544	no	$1$	$1$	$e\left(\frac{75}{544}\right)$	$e\left(\frac{207}{272}\right)$	$e\left(\frac{375}{544}\right)$	$e\left(\frac{469}{544}\right)$	$e\left(\frac{93}{544}\right)$	$e\left(\frac{173}{272}\right)$	$e\left(\frac{75}{272}\right)$	$e\left(\frac{137}{544}\right)$	$e\left(\frac{65}{68}\right)$	$e\left(\frac{489}{544}\right)$
$\chi_{332928}(37,\cdot)$	332928.bfz	544	no	$-1$	$1$	$e\left(\frac{211}{544}\right)$	$e\left(\frac{11}{34}\right)$	$e\left(\frac{171}{544}\right)$	$e\left(\frac{367}{544}\right)$	$e\left(\frac{331}{544}\right)$	$e\left(\frac{95}{136}\right)$	$e\left(\frac{211}{272}\right)$	$e\left(\frac{205}{544}\right)$	$e\left(\frac{141}{272}\right)$	$e\left(\frac{387}{544}\right)$
$\chi_{332928}(41,\cdot)$	332928.bjh	816	no	$1$	$1$	$e\left(\frac{29}{408}\right)$	$e\left(\frac{125}{816}\right)$	$e\left(\frac{50}{51}\right)$	$e\left(\frac{775}{816}\right)$	$e\left(\frac{99}{272}\right)$	$e\left(\frac{397}{816}\right)$	$e\left(\frac{29}{204}\right)$	$e\left(\frac{149}{204}\right)$	$e\left(\frac{673}{816}\right)$	$e\left(\frac{61}{272}\right)$
$\chi_{332928}(43,\cdot)$	332928.bkv	1632	yes	$-1$	$1$	$e\left(\frac{835}{1632}\right)$	$e\left(\frac{13}{816}\right)$	$e\left(\frac{503}{1632}\right)$	$e\left(\frac{1273}{1632}\right)$	$e\left(\frac{531}{544}\right)$	$e\left(\frac{659}{816}\right)$	$e\left(\frac{19}{816}\right)$	$e\left(\frac{1625}{1632}\right)$	$e\left(\frac{229}{408}\right)$	$e\left(\frac{287}{544}\right)$
$\chi_{332928}(47,\cdot)$	332928.bdi	408	no	$1$	$1$	$e\left(\frac{163}{408}\right)$	$e\left(\frac{46}{51}\right)$	$e\left(\frac{407}{408}\right)$	$e\left(\frac{7}{408}\right)$	$e\left(\frac{37}{136}\right)$	$e\left(\frac{29}{51}\right)$	$e\left(\frac{163}{204}\right)$	$e\left(\frac{101}{408}\right)$	$e\left(\frac{29}{204}\right)$	$e\left(\frac{41}{136}\right)$
$\chi_{332928}(49,\cdot)$	332928.bbt	408	no	$1$	$1$	$e\left(\frac{29}{102}\right)$	$e\left(\frac{97}{408}\right)$	$e\left(\frac{137}{204}\right)$	$e\left(\frac{173}{408}\right)$	$e\left(\frac{45}{136}\right)$	$e\left(\frac{233}{408}\right)$	$e\left(\frac{29}{51}\right)$	$e\left(\frac{137}{204}\right)$	$e\left(\frac{377}{408}\right)$	$e\left(\frac{71}{136}\right)$
$\chi_{332928}(53,\cdot)$	332928.bep	544	no	$-1$	$1$	$e\left(\frac{49}{544}\right)$	$e\left(\frac{259}{272}\right)$	$e\left(\frac{109}{544}\right)$	$e\left(\frac{427}{544}\right)$	$e\left(\frac{107}{544}\right)$	$e\left(\frac{157}{272}\right)$	$e\left(\frac{49}{272}\right)$	$e\left(\frac{211}{544}\right)$	$e\left(\frac{9}{136}\right)$	$e\left(\frac{23}{544}\right)$
$\chi_{332928}(55,\cdot)$	332928.zs	272	no	$-1$	$1$	$e\left(\frac{231}{272}\right)$	$e\left(\frac{133}{136}\right)$	$e\left(\frac{67}{272}\right)$	$e\left(\frac{245}{272}\right)$	$e\left(\frac{77}{272}\right)$	$e\left(\frac{99}{136}\right)$	$e\left(\frac{95}{136}\right)$	$e\left(\frac{101}{272}\right)$	$e\left(\frac{23}{68}\right)$	$e\left(\frac{225}{272}\right)$
$\chi_{332928}(59,\cdot)$	332928.bkw	1632	yes	$1$	$1$	$e\left(\frac{1151}{1632}\right)$	$e\left(\frac{401}{816}\right)$	$e\left(\frac{451}{1632}\right)$	$e\left(\frac{413}{1632}\right)$	$e\left(\frac{415}{544}\right)$	$e\left(\frac{775}{816}\right)$	$e\left(\frac{335}{816}\right)$	$e\left(\frac{1165}{1632}\right)$	$e\left(\frac{65}{408}\right)$	$e\left(\frac{107}{544}\right)$
$\chi_{332928}(61,\cdot)$	332928.bmb	1632	yes	$-1$	$1$	$e\left(\frac{1603}{1632}\right)$	$e\left(\frac{10}{51}\right)$	$e\left(\frac{59}{1632}\right)$	$e\left(\frac{1423}{1632}\right)$	$e\left(\frac{537}{544}\right)$	$e\left(\frac{403}{408}\right)$	$e\left(\frac{787}{816}\right)$	$e\left(\frac{1181}{1632}\right)$	$e\left(\frac{533}{816}\right)$	$e\left(\frac{97}{544}\right)$
$\chi_{332928}(65,\cdot)$	332928.pp	48	no	$1$	$1$	$e\left(\frac{7}{48}\right)$	$e\left(\frac{41}{48}\right)$	$e\left(\frac{29}{48}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{13}{48}\right)$	$e\left(\frac{7}{24}\right)$	$e\left(\frac{47}{48}\right)$	$e\left(\frac{19}{48}\right)$	$1$
$\chi_{332928}(67,\cdot)$	332928.bkt	1632	yes	$-1$	$1$	$e\left(\frac{281}{1632}\right)$	$e\left(\frac{509}{816}\right)$	$e\left(\frac{1405}{1632}\right)$	$e\left(\frac{263}{1632}\right)$	$e\left(\frac{341}{544}\right)$	$e\left(\frac{271}{816}\right)$	$e\left(\frac{281}{816}\right)$	$e\left(\frac{1507}{1632}\right)$	$e\left(\frac{1}{204}\right)$	$e\left(\frac{433}{544}\right)$
$\chi_{332928}(71,\cdot)$	332928.bbg	272	no	$-1$	$1$	$e\left(\frac{93}{136}\right)$	$e\left(\frac{21}{272}\right)$	$e\left(\frac{27}{34}\right)$	$e\left(\frac{103}{272}\right)$	$e\left(\frac{113}{272}\right)$	$e\left(\frac{21}{272}\right)$	$e\left(\frac{25}{68}\right)$	$e\left(\frac{37}{68}\right)$	$e\left(\frac{137}{272}\right)$	$e\left(\frac{207}{272}\right)$
$\chi_{332928}(73,\cdot)$	332928.bat	272	no	$-1$	$1$	$e\left(\frac{41}{68}\right)$	$e\left(\frac{245}{272}\right)$	$e\left(\frac{53}{136}\right)$	$e\left(\frac{57}{272}\right)$	$e\left(\frac{83}{272}\right)$	$e\left(\frac{245}{272}\right)$	$e\left(\frac{7}{34}\right)$	$e\left(\frac{53}{136}\right)$	$e\left(\frac{261}{272}\right)$	$e\left(\frac{137}{272}\right)$
$\chi_{332928}(77,\cdot)$	332928.bkz	1632	yes	$-1$	$1$	$e\left(\frac{1625}{1632}\right)$	$e\left(\frac{371}{816}\right)$	$e\left(\frac{373}{1632}\right)$	$e\left(\frac{755}{1632}\right)$	$e\left(\frac{241}{544}\right)$	$e\left(\frac{541}{816}\right)$	$e\left(\frac{809}{816}\right)$	$e\left(\frac{1291}{1632}\right)$	$e\left(\frac{125}{408}\right)$	$e\left(\frac{245}{544}\right)$
$\chi_{332928}(79,\cdot)$	332928.bgs	816	no	$1$	$1$	$e\left(\frac{455}{816}\right)$	$e\left(\frac{475}{816}\right)$	$e\left(\frac{337}{816}\right)$	$e\left(\frac{19}{408}\right)$	$e\left(\frac{8}{17}\right)$	$e\left(\frac{407}{816}\right)$	$e\left(\frac{47}{408}\right)$	$e\left(\frac{235}{816}\right)$	$e\left(\frac{293}{816}\right)$	$e\left(\frac{19}{136}\right)$
$\chi_{332928}(83,\cdot)$	332928.bkw	1632	yes	$1$	$1$	$e\left(\frac{649}{1632}\right)$	$e\left(\frac{487}{816}\right)$	$e\left(\frac{389}{1632}\right)$	$e\left(\frac{1051}{1632}\right)$	$e\left(\frac{329}{544}\right)$	$e\left(\frac{113}{816}\right)$	$e\left(\frac{649}{816}\right)$	$e\left(\frac{491}{1632}\right)$	$e\left(\frac{199}{408}\right)$	$e\left(\frac{541}{544}\right)$
$\chi_{332928}(89,\cdot)$	332928.zt	272	no	$-1$	$1$	$e\left(\frac{13}{272}\right)$	$e\left(\frac{127}{136}\right)$	$e\left(\frac{201}{272}\right)$	$e\left(\frac{55}{272}\right)$	$e\left(\frac{231}{272}\right)$	$e\left(\frac{93}{136}\right)$	$e\left(\frac{13}{136}\right)$	$e\left(\frac{167}{272}\right)$	$e\left(\frac{1}{68}\right)$	$e\left(\frac{267}{272}\right)$
$\chi_{332928}(91,\cdot)$	332928.bft	544	no	$1$	$1$	$e\left(\frac{159}{544}\right)$	$e\left(\frac{45}{136}\right)$	$e\left(\frac{319}{544}\right)$	$e\left(\frac{351}{544}\right)$	$e\left(\frac{291}{544}\right)$	$e\left(\frac{7}{34}\right)$	$e\left(\frac{159}{272}\right)$	$e\left(\frac{217}{544}\right)$	$e\left(\frac{99}{272}\right)$	$e\left(\frac{339}{544}\right)$
$\chi_{332928}(95,\cdot)$	332928.bjf	816	no	$-1$	$1$	$e\left(\frac{409}{816}\right)$	$e\left(\frac{659}{816}\right)$	$e\left(\frac{515}{816}\right)$	$e\left(\frac{1}{51}\right)$	$e\left(\frac{35}{136}\right)$	$e\left(\frac{319}{816}\right)$	$e\left(\frac{1}{408}\right)$	$e\left(\frac{617}{816}\right)$	$e\left(\frac{169}{816}\right)$	$e\left(\frac{21}{68}\right)$
$\chi_{332928}(97,\cdot)$	332928.bjc	816	no	$-1$	$1$	$e\left(\frac{575}{816}\right)$	$e\left(\frac{709}{816}\right)$	$e\left(\frac{733}{816}\right)$	$e\left(\frac{14}{51}\right)$	$e\left(\frac{65}{136}\right)$	$e\left(\frac{641}{816}\right)$	$e\left(\frac{167}{408}\right)$	$e\left(\frac{223}{816}\right)$	$e\left(\frac{479}{816}\right)$	$e\left(\frac{39}{68}\right)$
$\chi_{332928}(101,\cdot)$	332928.bll	1632	yes	$-1$	$1$	$e\left(\frac{1195}{1632}\right)$	$e\left(\frac{415}{816}\right)$	$e\left(\frac{263}{1632}\right)$	$e\left(\frac{709}{1632}\right)$	$e\left(\frac{95}{544}\right)$	$e\left(\frac{653}{816}\right)$	$e\left(\frac{379}{816}\right)$	$e\left(\frac{1385}{1632}\right)$	$e\left(\frac{197}{204}\right)$	$e\left(\frac{131}{544}\right)$

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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	$332928$
Structure	\(C_{2}\times C_{2}\times C_{16}\times C_{1632}\)
Order	$104448$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(5\)	\(7\)	\(11\)	\(13\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)	\(35\)
\(\chi_{332928}(1,\cdot)\)	332928.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{332928}(5,\cdot)\)	332928.bkk	1632	yes	\(1\)	\(1\)	\(e\left(\frac{1625}{1632}\right)\)	\(e\left(\frac{29}{204}\right)\)	\(e\left(\frac{1393}{1632}\right)\)	\(e\left(\frac{245}{1632}\right)\)	\(e\left(\frac{275}{544}\right)\)	\(e\left(\frac{143}{408}\right)\)	\(e\left(\frac{809}{816}\right)\)	\(e\left(\frac{1495}{1632}\right)\)	\(e\left(\frac{403}{816}\right)\)	\(e\left(\frac{75}{544}\right)\)
\(\chi_{332928}(7,\cdot)\)	332928.bhf	816	no	\(1\)	\(1\)	\(e\left(\frac{29}{204}\right)\)	\(e\left(\frac{505}{816}\right)\)	\(e\left(\frac{341}{408}\right)\)	\(e\left(\frac{581}{816}\right)\)	\(e\left(\frac{181}{272}\right)\)	\(e\left(\frac{233}{816}\right)\)	\(e\left(\frac{29}{102}\right)\)	\(e\left(\frac{137}{408}\right)\)	\(e\left(\frac{377}{816}\right)\)	\(e\left(\frac{207}{272}\right)\)
\(\chi_{332928}(11,\cdot)\)	332928.blq	1632	yes	\(-1\)	\(1\)	\(e\left(\frac{1393}{1632}\right)\)	\(e\left(\frac{341}{408}\right)\)	\(e\left(\frac{641}{1632}\right)\)	\(e\left(\frac{1225}{1632}\right)\)	\(e\left(\frac{423}{544}\right)\)	\(e\left(\frac{77}{204}\right)\)	\(e\left(\frac{577}{816}\right)\)	\(e\left(\frac{743}{1632}\right)\)	\(e\left(\frac{689}{816}\right)\)	\(e\left(\frac{375}{544}\right)\)
\(\chi_{332928}(13,\cdot)\)	332928.blv	1632	yes	\(1\)	\(1\)	\(e\left(\frac{245}{1632}\right)\)	\(e\left(\frac{581}{816}\right)\)	\(e\left(\frac{1225}{1632}\right)\)	\(e\left(\frac{1523}{1632}\right)\)	\(e\left(\frac{473}{544}\right)\)	\(e\left(\frac{751}{816}\right)\)	\(e\left(\frac{245}{816}\right)\)	\(e\left(\frac{103}{1632}\right)\)	\(e\left(\frac{46}{51}\right)\)	\(e\left(\frac{469}{544}\right)\)
\(\chi_{332928}(19,\cdot)\)	332928.bei	544	no	\(-1\)	\(1\)	\(e\left(\frac{275}{544}\right)\)	\(e\left(\frac{181}{272}\right)\)	\(e\left(\frac{423}{544}\right)\)	\(e\left(\frac{473}{544}\right)\)	\(e\left(\frac{409}{544}\right)\)	\(e\left(\frac{11}{272}\right)\)	\(e\left(\frac{3}{272}\right)\)	\(e\left(\frac{457}{544}\right)\)	\(e\left(\frac{97}{136}\right)\)	\(e\left(\frac{93}{544}\right)\)
\(\chi_{332928}(23,\cdot)\)	332928.bhj	816	no	\(-1\)	\(1\)	\(e\left(\frac{143}{408}\right)\)	\(e\left(\frac{233}{816}\right)\)	\(e\left(\frac{77}{204}\right)\)	\(e\left(\frac{751}{816}\right)\)	\(e\left(\frac{11}{272}\right)\)	\(e\left(\frac{505}{816}\right)\)	\(e\left(\frac{143}{204}\right)\)	\(e\left(\frac{13}{102}\right)\)	\(e\left(\frac{37}{816}\right)\)	\(e\left(\frac{173}{272}\right)\)
\(\chi_{332928}(25,\cdot)\)	332928.bgg	816	no	\(1\)	\(1\)	\(e\left(\frac{809}{816}\right)\)	\(e\left(\frac{29}{102}\right)\)	\(e\left(\frac{577}{816}\right)\)	\(e\left(\frac{245}{816}\right)\)	\(e\left(\frac{3}{272}\right)\)	\(e\left(\frac{143}{204}\right)\)	\(e\left(\frac{401}{408}\right)\)	\(e\left(\frac{679}{816}\right)\)	\(e\left(\frac{403}{408}\right)\)	\(e\left(\frac{75}{272}\right)\)
\(\chi_{332928}(29,\cdot)\)	332928.bjy	1632	yes	\(1\)	\(1\)	\(e\left(\frac{1495}{1632}\right)\)	\(e\left(\frac{137}{408}\right)\)	\(e\left(\frac{743}{1632}\right)\)	\(e\left(\frac{103}{1632}\right)\)	\(e\left(\frac{457}{544}\right)\)	\(e\left(\frac{13}{102}\right)\)	\(e\left(\frac{679}{816}\right)\)	\(e\left(\frac{641}{1632}\right)\)	\(e\left(\frac{179}{816}\right)\)	\(e\left(\frac{137}{544}\right)\)
\(\chi_{332928}(31,\cdot)\)	332928.bje	816	no	\(1\)	\(1\)	\(e\left(\frac{403}{816}\right)\)	\(e\left(\frac{377}{816}\right)\)	\(e\left(\frac{689}{816}\right)\)	\(e\left(\frac{46}{51}\right)\)	\(e\left(\frac{97}{136}\right)\)	\(e\left(\frac{37}{816}\right)\)	\(e\left(\frac{403}{408}\right)\)	\(e\left(\frac{179}{816}\right)\)	\(e\left(\frac{379}{816}\right)\)	\(e\left(\frac{65}{68}\right)\)
\(\chi_{332928}(35,\cdot)\)	332928.bfb	544	no	\(1\)	\(1\)	\(e\left(\frac{75}{544}\right)\)	\(e\left(\frac{207}{272}\right)\)	\(e\left(\frac{375}{544}\right)\)	\(e\left(\frac{469}{544}\right)\)	\(e\left(\frac{93}{544}\right)\)	\(e\left(\frac{173}{272}\right)\)	\(e\left(\frac{75}{272}\right)\)	\(e\left(\frac{137}{544}\right)\)	\(e\left(\frac{65}{68}\right)\)	\(e\left(\frac{489}{544}\right)\)
\(\chi_{332928}(37,\cdot)\)	332928.bfz	544	no	\(-1\)	\(1\)	\(e\left(\frac{211}{544}\right)\)	\(e\left(\frac{11}{34}\right)\)	\(e\left(\frac{171}{544}\right)\)	\(e\left(\frac{367}{544}\right)\)	\(e\left(\frac{331}{544}\right)\)	\(e\left(\frac{95}{136}\right)\)	\(e\left(\frac{211}{272}\right)\)	\(e\left(\frac{205}{544}\right)\)	\(e\left(\frac{141}{272}\right)\)	\(e\left(\frac{387}{544}\right)\)
\(\chi_{332928}(41,\cdot)\)	332928.bjh	816	no	\(1\)	\(1\)	\(e\left(\frac{29}{408}\right)\)	\(e\left(\frac{125}{816}\right)\)	\(e\left(\frac{50}{51}\right)\)	\(e\left(\frac{775}{816}\right)\)	\(e\left(\frac{99}{272}\right)\)	\(e\left(\frac{397}{816}\right)\)	\(e\left(\frac{29}{204}\right)\)	\(e\left(\frac{149}{204}\right)\)	\(e\left(\frac{673}{816}\right)\)	\(e\left(\frac{61}{272}\right)\)
\(\chi_{332928}(43,\cdot)\)	332928.bkv	1632	yes	\(-1\)	\(1\)	\(e\left(\frac{835}{1632}\right)\)	\(e\left(\frac{13}{816}\right)\)	\(e\left(\frac{503}{1632}\right)\)	\(e\left(\frac{1273}{1632}\right)\)	\(e\left(\frac{531}{544}\right)\)	\(e\left(\frac{659}{816}\right)\)	\(e\left(\frac{19}{816}\right)\)	\(e\left(\frac{1625}{1632}\right)\)	\(e\left(\frac{229}{408}\right)\)	\(e\left(\frac{287}{544}\right)\)
\(\chi_{332928}(47,\cdot)\)	332928.bdi	408	no	\(1\)	\(1\)	\(e\left(\frac{163}{408}\right)\)	\(e\left(\frac{46}{51}\right)\)	\(e\left(\frac{407}{408}\right)\)	\(e\left(\frac{7}{408}\right)\)	\(e\left(\frac{37}{136}\right)\)	\(e\left(\frac{29}{51}\right)\)	\(e\left(\frac{163}{204}\right)\)	\(e\left(\frac{101}{408}\right)\)	\(e\left(\frac{29}{204}\right)\)	\(e\left(\frac{41}{136}\right)\)
\(\chi_{332928}(49,\cdot)\)	332928.bbt	408	no	\(1\)	\(1\)	\(e\left(\frac{29}{102}\right)\)	\(e\left(\frac{97}{408}\right)\)	\(e\left(\frac{137}{204}\right)\)	\(e\left(\frac{173}{408}\right)\)	\(e\left(\frac{45}{136}\right)\)	\(e\left(\frac{233}{408}\right)\)	\(e\left(\frac{29}{51}\right)\)	\(e\left(\frac{137}{204}\right)\)	\(e\left(\frac{377}{408}\right)\)	\(e\left(\frac{71}{136}\right)\)
\(\chi_{332928}(53,\cdot)\)	332928.bep	544	no	\(-1\)	\(1\)	\(e\left(\frac{49}{544}\right)\)	\(e\left(\frac{259}{272}\right)\)	\(e\left(\frac{109}{544}\right)\)	\(e\left(\frac{427}{544}\right)\)	\(e\left(\frac{107}{544}\right)\)	\(e\left(\frac{157}{272}\right)\)	\(e\left(\frac{49}{272}\right)\)	\(e\left(\frac{211}{544}\right)\)	\(e\left(\frac{9}{136}\right)\)	\(e\left(\frac{23}{544}\right)\)
\(\chi_{332928}(55,\cdot)\)	332928.zs	272	no	\(-1\)	\(1\)	\(e\left(\frac{231}{272}\right)\)	\(e\left(\frac{133}{136}\right)\)	\(e\left(\frac{67}{272}\right)\)	\(e\left(\frac{245}{272}\right)\)	\(e\left(\frac{77}{272}\right)\)	\(e\left(\frac{99}{136}\right)\)	\(e\left(\frac{95}{136}\right)\)	\(e\left(\frac{101}{272}\right)\)	\(e\left(\frac{23}{68}\right)\)	\(e\left(\frac{225}{272}\right)\)
\(\chi_{332928}(59,\cdot)\)	332928.bkw	1632	yes	\(1\)	\(1\)	\(e\left(\frac{1151}{1632}\right)\)	\(e\left(\frac{401}{816}\right)\)	\(e\left(\frac{451}{1632}\right)\)	\(e\left(\frac{413}{1632}\right)\)	\(e\left(\frac{415}{544}\right)\)	\(e\left(\frac{775}{816}\right)\)	\(e\left(\frac{335}{816}\right)\)	\(e\left(\frac{1165}{1632}\right)\)	\(e\left(\frac{65}{408}\right)\)	\(e\left(\frac{107}{544}\right)\)
\(\chi_{332928}(61,\cdot)\)	332928.bmb	1632	yes	\(-1\)	\(1\)	\(e\left(\frac{1603}{1632}\right)\)	\(e\left(\frac{10}{51}\right)\)	\(e\left(\frac{59}{1632}\right)\)	\(e\left(\frac{1423}{1632}\right)\)	\(e\left(\frac{537}{544}\right)\)	\(e\left(\frac{403}{408}\right)\)	\(e\left(\frac{787}{816}\right)\)	\(e\left(\frac{1181}{1632}\right)\)	\(e\left(\frac{533}{816}\right)\)	\(e\left(\frac{97}{544}\right)\)
\(\chi_{332928}(65,\cdot)\)	332928.pp	48	no	\(1\)	\(1\)	\(e\left(\frac{7}{48}\right)\)	\(e\left(\frac{41}{48}\right)\)	\(e\left(\frac{29}{48}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{13}{48}\right)\)	\(e\left(\frac{7}{24}\right)\)	\(e\left(\frac{47}{48}\right)\)	\(e\left(\frac{19}{48}\right)\)	\(1\)
\(\chi_{332928}(67,\cdot)\)	332928.bkt	1632	yes	\(-1\)	\(1\)	\(e\left(\frac{281}{1632}\right)\)	\(e\left(\frac{509}{816}\right)\)	\(e\left(\frac{1405}{1632}\right)\)	\(e\left(\frac{263}{1632}\right)\)	\(e\left(\frac{341}{544}\right)\)	\(e\left(\frac{271}{816}\right)\)	\(e\left(\frac{281}{816}\right)\)	\(e\left(\frac{1507}{1632}\right)\)	\(e\left(\frac{1}{204}\right)\)	\(e\left(\frac{433}{544}\right)\)
\(\chi_{332928}(71,\cdot)\)	332928.bbg	272	no	\(-1\)	\(1\)	\(e\left(\frac{93}{136}\right)\)	\(e\left(\frac{21}{272}\right)\)	\(e\left(\frac{27}{34}\right)\)	\(e\left(\frac{103}{272}\right)\)	\(e\left(\frac{113}{272}\right)\)	\(e\left(\frac{21}{272}\right)\)	\(e\left(\frac{25}{68}\right)\)	\(e\left(\frac{37}{68}\right)\)	\(e\left(\frac{137}{272}\right)\)	\(e\left(\frac{207}{272}\right)\)
\(\chi_{332928}(73,\cdot)\)	332928.bat	272	no	\(-1\)	\(1\)	\(e\left(\frac{41}{68}\right)\)	\(e\left(\frac{245}{272}\right)\)	\(e\left(\frac{53}{136}\right)\)	\(e\left(\frac{57}{272}\right)\)	\(e\left(\frac{83}{272}\right)\)	\(e\left(\frac{245}{272}\right)\)	\(e\left(\frac{7}{34}\right)\)	\(e\left(\frac{53}{136}\right)\)	\(e\left(\frac{261}{272}\right)\)	\(e\left(\frac{137}{272}\right)\)
\(\chi_{332928}(77,\cdot)\)	332928.bkz	1632	yes	\(-1\)	\(1\)	\(e\left(\frac{1625}{1632}\right)\)	\(e\left(\frac{371}{816}\right)\)	\(e\left(\frac{373}{1632}\right)\)	\(e\left(\frac{755}{1632}\right)\)	\(e\left(\frac{241}{544}\right)\)	\(e\left(\frac{541}{816}\right)\)	\(e\left(\frac{809}{816}\right)\)	\(e\left(\frac{1291}{1632}\right)\)	\(e\left(\frac{125}{408}\right)\)	\(e\left(\frac{245}{544}\right)\)
\(\chi_{332928}(79,\cdot)\)	332928.bgs	816	no	\(1\)	\(1\)	\(e\left(\frac{455}{816}\right)\)	\(e\left(\frac{475}{816}\right)\)	\(e\left(\frac{337}{816}\right)\)	\(e\left(\frac{19}{408}\right)\)	\(e\left(\frac{8}{17}\right)\)	\(e\left(\frac{407}{816}\right)\)	\(e\left(\frac{47}{408}\right)\)	\(e\left(\frac{235}{816}\right)\)	\(e\left(\frac{293}{816}\right)\)	\(e\left(\frac{19}{136}\right)\)
\(\chi_{332928}(83,\cdot)\)	332928.bkw	1632	yes	\(1\)	\(1\)	\(e\left(\frac{649}{1632}\right)\)	\(e\left(\frac{487}{816}\right)\)	\(e\left(\frac{389}{1632}\right)\)	\(e\left(\frac{1051}{1632}\right)\)	\(e\left(\frac{329}{544}\right)\)	\(e\left(\frac{113}{816}\right)\)	\(e\left(\frac{649}{816}\right)\)	\(e\left(\frac{491}{1632}\right)\)	\(e\left(\frac{199}{408}\right)\)	\(e\left(\frac{541}{544}\right)\)
\(\chi_{332928}(89,\cdot)\)	332928.zt	272	no	\(-1\)	\(1\)	\(e\left(\frac{13}{272}\right)\)	\(e\left(\frac{127}{136}\right)\)	\(e\left(\frac{201}{272}\right)\)	\(e\left(\frac{55}{272}\right)\)	\(e\left(\frac{231}{272}\right)\)	\(e\left(\frac{93}{136}\right)\)	\(e\left(\frac{13}{136}\right)\)	\(e\left(\frac{167}{272}\right)\)	\(e\left(\frac{1}{68}\right)\)	\(e\left(\frac{267}{272}\right)\)
\(\chi_{332928}(91,\cdot)\)	332928.bft	544	no	\(1\)	\(1\)	\(e\left(\frac{159}{544}\right)\)	\(e\left(\frac{45}{136}\right)\)	\(e\left(\frac{319}{544}\right)\)	\(e\left(\frac{351}{544}\right)\)	\(e\left(\frac{291}{544}\right)\)	\(e\left(\frac{7}{34}\right)\)	\(e\left(\frac{159}{272}\right)\)	\(e\left(\frac{217}{544}\right)\)	\(e\left(\frac{99}{272}\right)\)	\(e\left(\frac{339}{544}\right)\)
\(\chi_{332928}(95,\cdot)\)	332928.bjf	816	no	\(-1\)	\(1\)	\(e\left(\frac{409}{816}\right)\)	\(e\left(\frac{659}{816}\right)\)	\(e\left(\frac{515}{816}\right)\)	\(e\left(\frac{1}{51}\right)\)	\(e\left(\frac{35}{136}\right)\)	\(e\left(\frac{319}{816}\right)\)	\(e\left(\frac{1}{408}\right)\)	\(e\left(\frac{617}{816}\right)\)	\(e\left(\frac{169}{816}\right)\)	\(e\left(\frac{21}{68}\right)\)
\(\chi_{332928}(97,\cdot)\)	332928.bjc	816	no	\(-1\)	\(1\)	\(e\left(\frac{575}{816}\right)\)	\(e\left(\frac{709}{816}\right)\)	\(e\left(\frac{733}{816}\right)\)	\(e\left(\frac{14}{51}\right)\)	\(e\left(\frac{65}{136}\right)\)	\(e\left(\frac{641}{816}\right)\)	\(e\left(\frac{167}{408}\right)\)	\(e\left(\frac{223}{816}\right)\)	\(e\left(\frac{479}{816}\right)\)	\(e\left(\frac{39}{68}\right)\)
\(\chi_{332928}(101,\cdot)\)	332928.bll	1632	yes	\(-1\)	\(1\)	\(e\left(\frac{1195}{1632}\right)\)	\(e\left(\frac{415}{816}\right)\)	\(e\left(\frac{263}{1632}\right)\)	\(e\left(\frac{709}{1632}\right)\)	\(e\left(\frac{95}{544}\right)\)	\(e\left(\frac{653}{816}\right)\)	\(e\left(\frac{379}{816}\right)\)	\(e\left(\frac{1385}{1632}\right)\)	\(e\left(\frac{197}{204}\right)\)	\(e\left(\frac{131}{544}\right)\)

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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.