LMFDB - Embedded newform 276.2.o.a.95.37

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [276,2,Mod(35,276)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(276, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 11, 20]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("276.35");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 276 = 2^{2} \cdot 3 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	276.o (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.20387109579$
Analytic rank:	$0$
Dimension:	$440$
Relative dimension:	$44$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			95.37
Character	$\chi$	$=$	276.95
Dual form			276.2.o.a.215.37

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.18151 + 0.777193i) q^{2} +(-1.14197 + 1.30227i) q^{3} +(0.791942 + 1.83653i) q^{4} +(2.29908 + 1.99216i) q^{5} +(-2.36137 + 0.651118i) q^{6} +(-0.285633 - 0.444454i) q^{7} +(-0.491646 + 2.78537i) q^{8} +(-0.391816 - 2.97430i) q^{9} +O(q^{10})$	\(q+(1.18151 + 0.777193i) q^{2} +(-1.14197 + 1.30227i) q^{3} +(0.791942 + 1.83653i) q^{4} +(2.29908 + 1.99216i) q^{5} +(-2.36137 + 0.651118i) q^{6} +(-0.285633 - 0.444454i) q^{7} +(-0.491646 + 2.78537i) q^{8} +(-0.391816 - 2.97430i) q^{9} +(1.16809 + 4.14060i) q^{10} +(0.593244 - 4.12610i) q^{11} +(-3.29603 - 1.06593i) q^{12} +(-2.13635 - 1.37295i) q^{13} +(0.00794739 - 0.747119i) q^{14} +(-5.21981 + 0.719035i) q^{15} +(-2.74566 + 2.90884i) q^{16} +(-1.28988 + 4.39293i) q^{17} +(1.84867 - 3.81869i) q^{18} +(0.322184 + 1.09726i) q^{19} +(-1.83792 + 5.80000i) q^{20} +(0.904983 + 0.135581i) q^{21} +(3.90770 - 4.41397i) q^{22} +(4.79372 - 0.142168i) q^{23} +(-3.06586 - 3.82106i) q^{24} +(0.605477 + 4.21118i) q^{25} +(-1.45708 - 3.28251i) q^{26} +(4.32079 + 2.88631i) q^{27} +(0.590046 - 0.876554i) q^{28} +(1.93371 - 6.58561i) q^{29} +(-6.72610 - 3.20725i) q^{30} +(3.34571 - 1.52793i) q^{31} +(-5.50476 + 1.30293i) q^{32} +(4.69583 + 5.48444i) q^{33} +(-4.93817 + 4.18782i) q^{34} +(0.228731 - 1.59086i) q^{35} +(5.15209 - 3.07506i) q^{36} +(-4.07570 - 4.70360i) q^{37} +(-0.472117 + 1.54682i) q^{38} +(4.22759 - 1.21424i) q^{39} +(-6.67925 + 5.42435i) q^{40} +(5.54721 + 4.80669i) q^{41} +(0.963876 + 0.863536i) q^{42} +(-4.03023 - 1.84055i) q^{43} +(8.04751 - 2.17813i) q^{44} +(5.02448 - 7.61872i) q^{45} +(5.77433 + 3.55768i) q^{46} -5.45938 q^{47} +(-0.652650 - 6.89739i) q^{48} +(2.79195 - 6.11352i) q^{49} +(-2.55752 + 5.44614i) q^{50} +(-4.24778 - 6.69636i) q^{51} +(0.829590 - 5.01075i) q^{52} +(6.11038 + 9.50794i) q^{53} +(2.86185 + 6.76830i) q^{54} +(9.58379 - 8.30440i) q^{55} +(1.37840 - 0.577080i) q^{56} +(-1.79685 - 0.833464i) q^{57} +(7.40299 - 6.27811i) q^{58} +(-8.76264 - 5.63141i) q^{59} +(-5.45432 - 9.01689i) q^{60} +(-2.13299 - 4.67060i) q^{61} +(5.14049 + 0.794988i) q^{62} +(-1.21002 + 1.02370i) q^{63} +(-7.51657 - 2.73883i) q^{64} +(-2.17650 - 7.41247i) q^{65} +(1.28572 + 10.1295i) q^{66} +(2.62464 - 0.377366i) q^{67} +(-9.08924 + 1.11005i) q^{68} +(-5.28914 + 6.40508i) q^{69} +(1.50666 - 1.70185i) q^{70} +(2.35410 + 16.3731i) q^{71} +(8.47717 + 0.370951i) q^{72} +(10.7263 - 3.14952i) q^{73} +(-1.15988 - 8.72497i) q^{74} +(-6.17553 - 4.02054i) q^{75} +(-1.75999 + 1.46067i) q^{76} +(-2.00331 + 0.914881i) q^{77} +(5.93865 + 1.85101i) q^{78} +(3.19142 - 4.96594i) q^{79} +(-12.1074 + 1.21787i) q^{80} +(-8.69296 + 2.33076i) q^{81} +(2.81838 + 9.99041i) q^{82} +(6.47124 + 7.46821i) q^{83} +(0.467697 + 1.76940i) q^{84} +(-11.7170 + 7.53005i) q^{85} +(-3.33131 - 5.30690i) q^{86} +(6.36801 + 10.0388i) q^{87} +(11.2011 + 3.68098i) q^{88} +(-1.30453 - 0.595758i) q^{89} +(11.8577 - 5.09662i) q^{90} +1.34167i q^{91} +(4.05745 + 8.69121i) q^{92} +(-1.83091 + 6.10187i) q^{93} +(-6.45033 - 4.24299i) q^{94} +(-1.44519 + 3.16453i) q^{95} +(4.58949 - 8.65659i) q^{96} +(-3.69031 + 4.25885i) q^{97} +(8.05011 - 5.05332i) q^{98} +(-12.5047 - 0.147813i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 440 q - 22 q^{4} - 8 q^{6} - 18 q^{9}+O(q^{10}) $ 440 * q - 22 * q^4 - 8 * q^6 - 18 * q^9	$ 440 q - 22 q^{4} - 8 q^{6} - 18 q^{9} - 30 q^{10} - 18 q^{12} - 36 q^{13} - 30 q^{16} - 10 q^{18} - 22 q^{21} - 48 q^{22} - 14 q^{24} - 8 q^{25} - 34 q^{28} - 21 q^{30} - 6 q^{33} - 32 q^{34} + 22 q^{36} - 36 q^{37} - 168 q^{40} + q^{42} - 44 q^{45} - 110 q^{46} - 6 q^{48} - 16 q^{49} - 94 q^{52} + 21 q^{54} - 46 q^{57} - 116 q^{58} - 47 q^{60} - 68 q^{61} - 28 q^{64} - 20 q^{66} - 22 q^{69} - 44 q^{70} - 23 q^{72} - 36 q^{73} - 74 q^{76} + 134 q^{78} - 130 q^{81} + 36 q^{82} + 105 q^{84} - 60 q^{85} + 38 q^{88} + 162 q^{90} - 332 q^{93} - 40 q^{94} + 225 q^{96} - 36 q^{97}+O(q^{100}) $ 440 * q - 22 * q^4 - 8 * q^6 - 18 * q^9 - 30 * q^10 - 18 * q^12 - 36 * q^13 - 30 * q^16 - 10 * q^18 - 22 * q^21 - 48 * q^22 - 14 * q^24 - 8 * q^25 - 34 * q^28 - 21 * q^30 - 6 * q^33 - 32 * q^34 + 22 * q^36 - 36 * q^37 - 168 * q^40 + q^42 - 44 * q^45 - 110 * q^46 - 6 * q^48 - 16 * q^49 - 94 * q^52 + 21 * q^54 - 46 * q^57 - 116 * q^58 - 47 * q^60 - 68 * q^61 - 28 * q^64 - 20 * q^66 - 22 * q^69 - 44 * q^70 - 23 * q^72 - 36 * q^73 - 74 * q^76 + 134 * q^78 - 130 * q^81 + 36 * q^82 + 105 * q^84 - 60 * q^85 + 38 * q^88 + 162 * q^90 - 332 * q^93 - 40 * q^94 + 225 * q^96 - 36 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/276\mathbb{Z}\right)^\times$.

$n$	$97$	$139$	$185$
$\chi(n)$	$e\left(\frac{8}{11}\right)$	$-1$	$-1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	1.18151	+	0.777193i	0.835455	+	0.549558i
$2$	1.18151	+	0.777193i	0.835455	+	0.549558i
$3$	−1.14197	+	1.30227i	−0.659316	+	0.751866i
$3$	−1.14197	+	1.30227i	−0.659316	+	0.751866i
$4$	0.791942	+	1.83653i	0.395971	+	0.918263i
$5$	2.29908	+	1.99216i	1.02818	+	0.890923i	0.994097	−	0.108496i	$-0.0346035\pi$
$5$	2.29908	+	1.99216i	1.02818	+	0.890923i	0.0340830	+	0.999419i	$0.489149\pi$
$6$	−2.36137	+	0.651118i	−0.964023	+	0.265818i
$7$	−0.285633	−	0.444454i	−0.107959	−	0.167988i	0.783070	−	0.621933i	$-0.213652\pi$
$7$	−0.285633	−	0.444454i	−0.107959	−	0.167988i	−0.891029	+	0.453945i	$0.850016\pi$
$8$	−0.491646	+	2.78537i	−0.173823	+	0.984777i
$9$	−0.391816	−	2.97430i	−0.130605	−	0.991434i
$10$	1.16809	+	4.14060i	0.369384	+	1.30937i
$11$	0.593244	−	4.12610i	0.178870	−	1.24407i	−0.680514	−	0.732735i	$-0.738243\pi$
$11$	0.593244	−	4.12610i	0.178870	−	1.24407i	0.859384	−	0.511331i	$-0.170847\pi$
$12$	−3.29603	−	1.06593i	−0.951481	−	0.307708i
$13$	−2.13635	−	1.37295i	−0.592516	−	0.380787i	0.209749	−	0.977755i	$-0.432735\pi$
$13$	−2.13635	−	1.37295i	−0.592516	−	0.380787i	−0.802265	+	0.596968i	$0.796372\pi$
$14$	0.00794739	−	0.747119i	0.00212403	−	0.199676i
$15$	−5.21981	+	0.719035i	−1.34775	+	0.185654i
$16$	−2.74566	+	2.90884i	−0.686414	+	0.727211i
$17$	−1.28988	+	4.39293i	−0.312842	+	1.06544i	0.641598	+	0.767041i	$0.278272\pi$
$17$	−1.28988	+	4.39293i	−0.312842	+	1.06544i	−0.954440	+	0.298402i	$0.903547\pi$
$18$	1.84867	−	3.81869i	0.435736	−	0.900074i
$19$	0.322184	+	1.09726i	0.0739142	+	0.251729i	0.988159	−	0.153434i	$-0.0490332\pi$
$19$	0.322184	+	1.09726i	0.0739142	+	0.251729i	−0.914245	+	0.405162i	$0.867215\pi$
$20$	−1.83792	+	5.80000i	−0.410972	+	1.29692i
$21$	0.904983	+	0.135581i	0.197483	+	0.0295861i
$22$	3.90770	−	4.41397i	0.833125	−	0.941062i
$23$	4.79372	−	0.142168i	0.999561	−	0.0296441i
$23$	4.79372	−	0.142168i	0.999561	−	0.0296441i
$24$	−3.06586	−	3.82106i	−0.625816	−	0.779971i
$25$	0.605477	+	4.21118i	0.121095	+	0.842237i
$26$	−1.45708	−	3.28251i	−0.285756	−	0.643753i
$27$	4.32079	+	2.88631i	0.831536	+	0.555470i
$28$	0.590046	−	0.876554i	0.111508	−	0.165653i
$29$	1.93371	−	6.58561i	0.359081	−	1.22292i	−0.559882	−	0.828572i	$-0.689154\pi$
$29$	1.93371	−	6.58561i	0.359081	−	1.22292i	0.918963	−	0.394344i	$-0.129028\pi$
$30$	−6.72610	−	3.20725i	−1.22801	−	0.585562i
$31$	3.34571	−	1.52793i	0.600907	−	0.274425i	−0.0916466	−	0.995792i	$-0.529213\pi$
$31$	3.34571	−	1.52793i	0.600907	−	0.274425i	0.692553	+	0.721367i	$0.256486\pi$
$32$	−5.50476	+	1.30293i	−0.973113	+	0.230328i
$33$	4.69583	+	5.48444i	0.817440	+	0.954719i
$34$	−4.93817	+	4.18782i	−0.846889	+	0.718204i
$35$	0.228731	−	1.59086i	0.0386627	−	0.268905i
$36$	5.15209	−	3.07506i	0.858682	−	0.512509i
$37$	−4.07570	−	4.70360i	−0.670040	−	0.773268i	0.314343	−	0.949310i	$-0.398216\pi$
$37$	−4.07570	−	4.70360i	−0.670040	−	0.773268i	−0.984383	+	0.176042i	$0.943671\pi$
$38$	−0.472117	+	1.54682i	−0.0765876	+	0.250928i
$39$	4.22759	−	1.21424i	0.676956	−	0.194434i
$40$	−6.67925	+	5.42435i	−1.05608	+	0.857665i
$41$	5.54721	+	4.80669i	0.866329	+	0.750678i	0.969786	−	0.243955i	$-0.0784451\pi$
$41$	5.54721	+	4.80669i	0.866329	+	0.750678i	−0.103457	+	0.994634i	$0.532991\pi$
$42$	0.963876	+	0.863536i	0.148729	+	0.133247i
$43$	−4.03023	−	1.84055i	−0.614605	−	0.280681i	0.0836889	−	0.996492i	$-0.473330\pi$
$43$	−4.03023	−	1.84055i	−0.614605	−	0.280681i	−0.698294	+	0.715811i	$0.746057\pi$
$44$	8.04751	−	2.17813i	1.21321	−	0.328365i
$45$	5.02448	−	7.61872i	0.749006	−	1.13573i
$46$	5.77433	+	3.55768i	0.851379	+	0.524551i
$47$	−5.45938			−0.796333			−0.398166	−	0.917313i	$-0.630353\pi$
$47$	−5.45938			−0.796333			−0.398166	+	0.917313i	$0.630353\pi$
$48$	−0.652650	−	6.89739i	−0.0942019	−	0.995553i
$49$	2.79195	−	6.11352i	0.398850	−	0.873360i
$50$	−2.55752	+	5.44614i	−0.361688	+	0.770200i
$51$	−4.24778	−	6.69636i	−0.594808	−	0.937678i
$52$	0.829590	−	5.01075i	0.115043	−	0.694866i
$53$	6.11038	+	9.50794i	0.839325	+	1.30602i	0.950029	+	0.312162i	$0.101053\pi$
$53$	6.11038	+	9.50794i	0.839325	+	1.30602i	−0.110704	+	0.993853i	$0.535310\pi$
$54$	2.86185	+	6.76830i	0.389448	+	0.921049i
$55$	9.58379	−	8.30440i	1.29228	−	1.11976i
$56$	1.37840	−	0.577080i	0.184196	−	0.0771155i
$57$	−1.79685	−	0.833464i	−0.237999	−	0.110395i
$58$	7.40299	−	6.27811i	0.972060	−	0.824356i
$59$	−8.76264	−	5.63141i	−1.14080	−	0.733147i	−0.173012	−	0.984920i	$-0.555350\pi$
$59$	−8.76264	−	5.63141i	−1.14080	−	0.733147i	−0.967786	+	0.251773i	$0.918986\pi$
$60$	−5.45432	−	9.01689i	−0.704149	−	1.16408i
$61$	−2.13299	−	4.67060i	−0.273102	−	0.598009i	0.722534	−	0.691336i	$-0.242977\pi$
$61$	−2.13299	−	4.67060i	−0.273102	−	0.598009i	−0.995636	+	0.0933262i	$0.970250\pi$
$62$	5.14049	+	0.794988i	0.652843	+	0.100964i
$63$	−1.21002	+	1.02370i	−0.152449	+	0.128974i
$64$	−7.51657	−	2.73883i	−0.939571	−	0.342354i
$65$	−2.17650	−	7.41247i	−0.269961	−	0.919403i
$66$	1.28572	+	10.1295i	0.158261	+	1.24686i
$67$	2.62464	−	0.377366i	0.320651	−	0.0461026i	0.0198898	−	0.999802i	$-0.493668\pi$
$67$	2.62464	−	0.377366i	0.320651	−	0.0461026i	0.300761	+	0.953700i	$0.402759\pi$
$68$	−9.08924	+	1.11005i	−1.10223	+	0.134613i
$69$	−5.28914	+	6.40508i	−0.636738	+	0.771081i
$70$	1.50666	−	1.70185i	0.180080	−	0.203411i
$71$	2.35410	+	16.3731i	0.279380	+	1.94313i	0.328924	+	0.944356i	$0.393314\pi$
$71$	2.35410	+	16.3731i	0.279380	+	1.94313i	−0.0495442	+	0.998772i	$0.515777\pi$
$72$	8.47717	+	0.370951i	0.999044	+	0.0437170i
$73$	10.7263	−	3.14952i	1.25541	−	0.368623i	0.414629	−	0.909991i	$-0.363912\pi$
$73$	10.7263	−	3.14952i	1.25541	−	0.368623i	0.840786	+	0.541368i	$0.182093\pi$
$74$	−1.15988	−	8.72497i	−0.134833	−	1.01426i
$75$	−6.17553	−	4.02054i	−0.713089	−	0.464252i
$76$	−1.75999	+	1.46067i	−0.201885	+	0.167550i
$77$	−2.00331	+	0.914881i	−0.228298	+	0.104260i
$78$	5.93865	+	1.85101i	0.672419	+	0.209586i
$79$	3.19142	−	4.96594i	0.359063	−	0.558712i	−0.613985	−	0.789318i	$-0.710434\pi$
$79$	3.19142	−	4.96594i	0.359063	−	0.558712i	0.973047	+	0.230606i	$0.0740707\pi$
$80$	−12.1074	+	1.21787i	−1.35365	+	0.136162i
$81$	−8.69296	+	2.33076i	−0.965884	+	0.258974i
$82$	2.81838	+	9.99041i	0.311238	+	1.10326i
$83$	6.47124	+	7.46821i	0.710311	+	0.819742i	0.990107	−	0.140317i	$-0.0448122\pi$
$83$	6.47124	+	7.46821i	0.710311	+	0.819742i	−0.279796	+	0.960060i	$0.590267\pi$
$84$	0.467697	+	1.76940i	0.0510299	+	0.193057i
$85$	−11.7170	+	7.53005i	−1.27089	+	0.816748i
$86$	−3.33131	−	5.30690i	−0.359224	−	0.572257i
$87$	6.36801	+	10.0388i	0.682722	+	1.07627i
$88$	11.2011	+	3.68098i	1.19404	+	0.392394i
$89$	−1.30453	−	0.595758i	−0.138280	−	0.0631503i	0.345073	−	0.938576i	$-0.387854\pi$
$89$	−1.30453	−	0.595758i	−0.138280	−	0.0631503i	−0.483353	+	0.875425i	$0.660581\pi$
$90$	11.8577	−	5.09662i	1.24991	−	0.537231i
$91$			1.34167i			0.140645i
$92$	4.05745	+	8.69121i	0.423018	+	0.906121i
$93$	−1.83091	+	6.10187i	−0.189856	+	0.632734i
$94$	−6.45033	−	4.24299i	−0.665300	−	0.437631i
$95$	−1.44519	+	3.16453i	−0.148274	+	0.324674i
$96$	4.58949	−	8.65659i	0.468413	−	0.883510i
$97$	−3.69031	+	4.25885i	−0.374694	+	0.432420i	−0.911509	−	0.411280i	$-0.865082\pi$
$97$	−3.69031	+	4.25885i	−0.374694	+	0.432420i	0.536815	+	0.843700i	$0.319627\pi$
$98$	8.05011	−	5.05332i	0.813184	−	0.510462i
$99$	−12.5047	−	0.147813i	−1.25677	−	0.0148557i
$100$	−7.25444	+	4.44699i	−0.725444	+	0.444699i
$101$	−1.58287	+	1.37157i	−0.157502	+	0.136476i	−0.730047	−	0.683397i	$-0.760502\pi$
$101$	−1.58287	+	1.37157i	−0.157502	+	0.136476i	0.572545	+	0.819873i	$0.305956\pi$
$102$	0.185561	−	11.2132i	0.0183733	−	1.11027i
$103$	−11.2510	−	1.61764i	−1.10859	−	0.159391i	−0.436387	−	0.899759i	$-0.643742\pi$
$103$	−11.2510	−	1.61764i	−1.10859	−	0.159391i	−0.672202	+	0.740368i	$0.734651\pi$
$104$	4.87449	−	5.27551i	0.477983	−	0.517306i
$105$	1.81053	+	2.11458i	0.176690	+	0.206362i
$106$	−0.170014	+	15.9827i	−0.0165132	+	1.55238i
$107$	−4.65194	−	10.1863i	−0.449720	−	0.984750i	−0.989711	−	0.143079i	$-0.954300\pi$
$107$	−4.65194	−	10.1863i	−0.449720	−	0.984750i	0.539991	−	0.841671i	$-0.318428\pi$
$108$	−1.87897	+	10.2210i	−0.180804	+	0.983519i
$109$	−13.2311	−	3.88500i	−1.26731	−	0.372116i	−0.422099	−	0.906550i	$-0.638707\pi$
$109$	−13.2311	−	3.88500i	−1.26731	−	0.372116i	−0.845210	+	0.534434i	$0.820525\pi$
$110$	17.7775	−	2.36330i	1.69502	−	0.225331i
$111$	10.7797	+	0.0637086i	1.02316	+	0.00604696i
$112$	2.07710	+	0.389455i	0.196267	+	0.0368000i
$113$	−12.6997	+	1.82595i	−1.19469	+	0.171771i	−0.710823	−	0.703371i	$-0.751677\pi$
$113$	−12.6997	+	1.82595i	−1.19469	+	0.171771i	−0.483867	+	0.875141i	$0.660768\pi$
$114$	−1.47524	−	2.38125i	−0.138169	−	0.223024i
$115$	11.3044	+	9.22303i	1.05414	+	0.860052i
$116$	13.6260	−	1.66411i	1.26514	−	0.154509i
$117$	−3.24650	+	6.89209i	−0.300139	+	0.637174i
$118$	−5.97647	−	13.4638i	−0.550179	−	1.23945i
$119$	2.32089	−	0.681474i	0.212755	−	0.0624706i
$120$	0.563521	−	14.8926i	0.0514422	−	1.35950i
$121$	−6.11835	−	1.79651i	−0.556214	−	0.163319i
$122$	1.10980	−	7.17612i	0.100477	−	0.649695i
$123$	−12.5943	+	1.73489i	−1.13559	+	0.156429i
$124$	5.45569	+	4.93444i	0.489936	+	0.443126i
$125$	1.22614	−	1.90791i	0.109669	−	0.170649i
$126$	−2.22527	+	0.269096i	−0.198243	+	0.0239729i
$127$	−6.10444	−	0.877686i	−0.541681	−	0.0778820i	−0.133957	−	0.990987i	$-0.542768\pi$
$127$	−6.10444	−	0.877686i	−0.541681	−	0.0778820i	−0.407724	+	0.913105i	$0.633678\pi$
$128$	−6.75232	−	9.07779i	−0.596826	−	0.802371i
$129$	6.99929	−	3.14661i	0.616253	−	0.277043i
$130$	3.18936	−	10.4495i	0.279725	−	0.916480i
$131$	6.50692	−	4.18174i	0.568512	−	0.365361i	−0.224586	−	0.974454i	$-0.572103\pi$
$131$	6.50692	−	4.18174i	0.568512	−	0.365361i	0.793098	+	0.609094i	$0.208467\pi$
$132$	−6.35349	+	12.9674i	−0.553000	+	1.12867i
$133$	0.395654	−	0.456609i	0.0343076	−	0.0395931i
$134$	3.39433	+	1.59399i	0.293225	+	0.137700i
$135$	4.18384	+	15.2436i	0.360087	+	1.31196i
$136$	−11.6018	−	5.75256i	−0.994844	−	0.493278i
$137$		−	20.4527i		−	1.74739i	−0.486471	−	0.873697i	$-0.661716\pi$
$137$		−	20.4527i		−	1.74739i	0.486471	−	0.873697i	$-0.338284\pi$
$138$	−11.2272	+	3.45699i	−0.955720	+	0.294279i
$139$			9.35721i			0.793668i	0.917890	+	0.396834i	$0.129891\pi$
$139$			9.35721i			0.793668i	−0.917890	+	0.396834i	$0.870109\pi$
$140$	3.10280	−	0.839799i	0.262235	−	0.0709760i
$141$	6.23444	−	7.10959i	0.525035	−	0.598736i
$142$	−9.94366	+	21.1746i	−0.834453	+	1.77693i
$143$	−6.93229	+	8.00029i	−0.579707	+	0.669018i
$144$	9.72758	+	7.02668i	0.810632	+	0.585557i
$145$	17.5654	−	11.2886i	1.45872	−	0.937465i
$146$	15.1210	+	4.61519i	1.25142	+	0.381956i
$147$	4.77314	+	10.6173i	0.393682	+	0.875702i
$148$	5.41057	−	11.2101i	0.444747	−	0.921465i
$149$	−18.6045	−	2.67492i	−1.52414	−	0.219138i	−0.671250	−	0.741231i	$-0.734242\pi$
$149$	−18.6045	−	2.67492i	−1.52414	−	0.219138i	−0.852888	+	0.522093i	$0.825151\pi$
$150$	−4.17173	−	9.54990i	−0.340620	−	0.779746i
$151$	3.84208	−	5.97840i	0.312664	−	0.486515i	−0.648983	−	0.760803i	$-0.724806\pi$
$151$	3.84208	−	5.97840i	0.312664	−	0.486515i	0.961648	+	0.274287i	$0.0884419\pi$
$152$	−3.21467	+	0.357939i	−0.260744	+	0.0290327i
$153$	13.5713	+	2.11527i	1.09718	+	0.171010i
$154$	−3.07798	−	0.476016i	−0.248030	−	0.0383584i
$155$	10.7359	+	3.15236i	0.862332	+	0.253203i
$156$	5.57799	+	6.80247i	0.446596	+	0.544633i
$157$	−2.74384	+	0.805665i	−0.218982	+	0.0642991i	−0.389383	−	0.921076i	$-0.627312\pi$
$157$	−2.74384	+	0.805665i	−0.218982	+	0.0642991i	0.170401	+	0.985375i	$0.445494\pi$
$158$	7.63020	−	3.38698i	0.607026	−	0.269453i
$159$	−19.3598	−	2.90040i	−1.53533	−	0.230016i
$160$	−15.2515	−	7.97084i	−1.20574	−	0.630150i
$161$	−1.43243	−	2.08998i	−0.112892	−	0.164713i
$162$	−12.0823	−	4.00228i	−0.949274	−	0.314449i
$163$	−5.00627	+	0.719793i	−0.392121	+	0.0563785i	−0.335556	−	0.942020i	$-0.608924\pi$
$163$	−5.00627	+	0.719793i	−0.392121	+	0.0563785i	−0.0565656	+	0.998399i	$0.518015\pi$
$164$	−4.43454	+	13.9942i	−0.346279	+	1.09276i
$165$	−0.129809	+	21.9640i	−0.0101056	+	1.70990i
$166$	1.84161	+	13.8532i	0.142937	+	1.07522i
$167$	−4.40058	−	1.29213i	−0.340527	−	0.0999878i	0.106998	−	0.994259i	$-0.465876\pi$
$167$	−4.40058	−	1.29213i	−0.340527	−	0.0999878i	−0.447525	+	0.894271i	$0.647694\pi$
$168$	−0.822573	+	2.45405i	−0.0634629	+	0.189334i
$169$	−2.72140	−	5.95904i	−0.209339	−	0.458387i
$170$	−19.6961	−	0.209514i	−1.51062	−	0.0160690i
$171$	3.13734	−	1.38820i	0.239919	−	0.106158i
$172$	0.188499	−	8.85923i	0.0143729	−	0.675510i
$173$	−10.6512	−	1.53141i	−0.809797	−	0.116431i	−0.275035	−	0.961434i	$-0.588690\pi$
$173$	−10.6512	−	1.53141i	−0.809797	−	0.116431i	−0.534762	+	0.845003i	$0.679599\pi$
$174$	−0.278182	+	16.8101i	−0.0210889	+	1.27437i
$175$	1.69873	−	1.47196i	0.128412	−	0.111270i
$176$	10.3733	+	13.0545i	0.781920	+	0.984020i
$177$	17.3403	−	4.98044i	1.30337	−	0.374353i
$178$	−1.07830	−	1.71777i	−0.0808218	−	0.128752i
$179$	−6.96066	+	8.03303i	−0.520264	+	0.600417i	−0.953697	−	0.300769i	$-0.902757\pi$
$179$	−6.96066	+	8.03303i	−0.520264	+	0.600417i	0.433433	+	0.901186i	$0.357302\pi$
$180$	17.9711	+	3.19401i	1.33949	+	0.238067i
$181$	−2.62739	+	5.75319i	−0.195293	+	0.427631i	−0.981792	−	0.189960i	$-0.939164\pi$
$181$	−2.62739	+	5.75319i	−0.195293	+	0.427631i	0.786499	+	0.617591i	$0.211891\pi$
$182$	−1.04273	+	1.58519i	−0.0772925	+	0.117502i
$183$	8.51820	+	2.55595i	0.629683	+	0.188941i
$184$	−1.96083	+	13.4222i	−0.144554	+	0.989497i
$185$		−	18.9334i		−	1.39201i
$186$	−6.90557	+	5.78646i	−0.506341	+	0.424284i
$187$	17.3605	+	7.92826i	1.26952	+	0.579772i
$188$	−4.32351	−	10.0263i	−0.315325	−	0.731243i
$189$	0.0486707	−	2.74482i	0.00354027	−	0.199656i
$190$	−4.16696	+	2.61574i	−0.302303	+	0.189766i
$191$	5.82089	−	3.74086i	0.421185	−	0.270679i	−0.312834	−	0.949808i	$-0.601279\pi$
$191$	5.82089	−	3.74086i	0.421185	−	0.270679i	0.734019	+	0.679129i	$0.237642\pi$
$192$	12.1504	−	6.66094i	0.876878	−	0.480712i
$193$	15.7720	+	18.2019i	1.13529	+	1.31020i	0.944479	+	0.328572i	$0.106567\pi$
$193$	15.7720	+	18.2019i	1.13529	+	1.31020i	0.190815	+	0.981626i	$0.438887\pi$
$194$	−7.67009	+	2.16379i	−0.550681	+	0.155351i
$195$	12.1385	+	5.63042i	0.869258	+	0.403202i
$196$	13.4387	+	0.285937i	0.959908	+	0.0204241i
$197$	−10.7979	+	16.8018i	−0.769316	+	1.19708i	0.206492	+	0.978448i	$0.433795\pi$
$197$	−10.7979	+	16.8018i	−0.769316	+	1.19708i	−0.975808	+	0.218630i	$0.929841\pi$
$198$	−14.6596	−	9.89322i	−1.04181	−	0.703081i
$199$	−14.4562	+	6.60191i	−1.02477	+	0.467997i	−0.855626	−	0.517594i	$-0.826828\pi$
$199$	−14.4562	+	6.60191i	−1.02477	+	0.467997i	−0.169144	+	0.985591i	$0.554100\pi$
$200$	−12.0274	−	0.383935i	−0.850464	−	0.0271483i
$201$	−2.50582	+	3.84893i	−0.176747	+	0.271483i
$202$	−2.93615	+	0.390325i	−0.206587	+	0.0274632i
$203$	−3.47933	+	1.02162i	−0.244201	+	0.0717039i
$204$	8.93405	−	13.1043i	0.625509	−	0.917484i
$205$	3.17778	+	22.1019i	0.221946	+	1.54366i
$206$	−12.0359	−	10.6554i	−0.838582	−	0.742399i
$207$	−2.30111	−	14.2023i	−0.159938	−	0.987127i
$208$	9.85936	−	2.44466i	0.683624	−	0.169507i
$209$	4.71854	−	0.678423i	0.326388	−	0.0469275i
$210$	0.495721	+	3.90554i	0.0342080	+	0.269508i
$211$	−3.11086	−	10.5946i	−0.214160	−	0.729363i	−0.994568	−	0.104091i	$-0.966807\pi$
$211$	−3.11086	−	10.5946i	−0.214160	−	0.729363i	0.780408	−	0.625271i	$-0.215012\pi$
$212$	−12.6225	+	18.7516i	−0.866917	+	1.28787i
$213$	−24.0105	−	15.6319i	−1.64517	−	1.07108i
$214$	2.42042	−	15.6507i	0.165457	−	1.06986i
$215$	−5.59916	−	12.2604i	−0.381859	−	0.836156i
$216$	−10.1637	+	10.6160i	−0.691555	+	0.722324i
$217$	−1.63474	−	1.05058i	−0.110973	−	0.0713182i
$218$	−12.6133	−	14.8733i	−0.854281	−	1.00735i
$219$	−8.14753	+	17.5651i	−0.550559	+	1.18694i
$220$	22.8410	+	11.0243i	1.53994	+	0.743256i
$221$	8.78689	−	7.61389i	0.591070	−	0.512165i
$222$	12.6868	+	8.45316i	0.851483	+	0.567339i
$223$	5.30570	+	8.25582i	0.355296	+	0.552851i	0.972190	−	0.234196i	$-0.0752456\pi$
$223$	5.30570	+	8.25582i	0.355296	+	0.552851i	−0.616894	+	0.787046i	$0.711609\pi$
$224$	2.15143	+	2.07445i	0.143749	+	0.138605i
$225$	12.2881	−	3.45088i	0.819207	−	0.230059i
$226$	−16.4240	−	7.71277i	−1.09251	−	0.513046i
$227$	7.46181	−	16.3391i	0.495258	−	1.08446i	−0.482724	−	0.875772i	$-0.660353\pi$
$227$	7.46181	−	16.3391i	0.495258	−	1.08446i	0.977982	−	0.208690i	$-0.0669201\pi$
$228$	0.107676	−	3.96002i	0.00713099	−	0.262259i
$229$	5.39195			0.356310			0.178155	−	0.984002i	$-0.442987\pi$
$229$	5.39195			0.356310			0.178155	+	0.984002i	$0.442987\pi$
$230$	6.18818	+	19.6828i	0.408037	+	1.29785i
$231$	1.09629	−	3.65362i	0.0721309	−	0.240390i
$232$	17.3927	+	8.62388i	1.14188	+	0.566186i
$233$	20.2034	+	9.22657i	1.32357	+	0.604453i	0.946790	−	0.321851i	$-0.104305\pi$
$233$	20.2034	+	9.22657i	1.32357	+	0.604453i	0.376777	+	0.926304i	$0.377032\pi$
$234$	−9.19226	+	5.61992i	−0.600917	+	0.367386i
$235$	−12.5516	−	10.8760i	−0.818773	−	0.709471i
$236$	3.40272	−	20.5526i	0.221498	−	1.33786i
$237$	2.82250	+	9.82704i	0.183341	+	0.638335i
$238$	3.27179	+	0.998607i	0.212079	+	0.0647301i
$239$	−9.16978	−	10.5825i	−0.593143	−	0.684524i	0.377234	−	0.926118i	$-0.376875\pi$
$239$	−9.16978	−	10.5825i	−0.593143	−	0.684524i	−0.970377	+	0.241594i	$0.922330\pi$
$240$	12.2402	−	17.1578i	0.790105	−	1.10753i
$241$	3.17346	−	22.0719i	0.204420	−	1.42177i	−0.586546	−	0.809916i	$-0.699513\pi$
$241$	3.17346	−	22.0719i	0.204420	−	1.42177i	0.790967	−	0.611859i	$-0.209578\pi$
$242$	−5.83267	−	6.87774i	−0.374938	−	0.442118i
$243$	6.89180	−	13.9822i	0.442109	−	0.896961i
$244$	6.88848	−	7.61614i	0.440989	−	0.487574i
$245$	18.5981	−	8.49345i	1.18819	−	0.542627i
$246$	−16.2287	−	7.73845i	−1.03471	−	0.493386i
$247$	0.818181	−	2.78647i	0.0520596	−	0.177299i
$248$	2.61095	+	10.0702i	0.165796	+	0.639460i
$249$	−17.1156	−	0.101154i	−1.08466	−	0.00641039i
$250$	2.93151	−	1.30127i	0.185405	−	0.0822997i
$251$	1.34962	+	9.38680i	0.0851871	+	0.592489i	0.987043	+	0.160453i	$0.0512956\pi$
$251$	1.34962	+	9.38680i	0.0851871	+	0.592489i	−0.901856	+	0.432036i	$0.857795\pi$
$252$	−2.83833	−	1.41153i	−0.178798	−	0.0889178i
$253$	2.25725	−	19.8637i	0.141912	−	1.24882i
$254$	−6.53034	−	5.78132i	−0.409750	−	0.362752i
$255$	3.57427	−	23.8578i	0.223829	−	1.49403i
$256$	−0.922750	−	15.9734i	−0.0576719	−	0.998336i
$257$	6.83353	+	23.2729i	0.426264	+	1.45172i	0.840629	+	0.541611i	$0.182185\pi$
$257$	6.83353	+	23.2729i	0.426264	+	1.45172i	−0.414365	+	0.910111i	$0.635996\pi$
$258$	10.7153	+	1.72204i	0.667103	+	0.107210i
$259$	−0.926380	+	3.15496i	−0.0575625	+	0.196040i
$260$	11.8895	−	9.86744i	0.737357	−	0.611952i
$261$	−20.3453	−	3.17109i	−1.25934	−	0.196285i
$262$	10.9380	+	0.116352i	0.675753	+	0.00718824i
$263$	6.30378	+	4.05119i	0.388708	+	0.249807i	0.720369	−	0.693591i	$-0.243973\pi$
$263$	6.30378	+	4.05119i	0.388708	+	0.249807i	−0.331661	+	0.943399i	$0.607609\pi$
$264$	−17.5849	+	10.3832i	−1.08227	+	0.639044i
$265$	−4.89312	+	34.0324i	−0.300582	+	2.09059i
$266$	0.822344	−	0.231990i	0.0504212	−	0.0142242i
$267$	2.26557	−	1.01851i	0.138651	−	0.0623319i
$268$	2.77160	+	4.52137i	0.169303	+	0.276186i
$269$	1.79919	+	2.79960i	0.109699	+	0.170694i	0.891762	−	0.452504i	$-0.149469\pi$
$269$	1.79919	+	2.79960i	0.109699	+	0.170694i	−0.782064	+	0.623199i	$0.785833\pi$
$270$	−6.90395	+	21.2621i	−0.420161	+	1.29397i
$271$	19.5585	+	16.9475i	1.18809	+	1.02949i	0.998869	+	0.0475565i	$0.0151434\pi$
$271$	19.5585	+	16.9475i	1.18809	+	1.02949i	0.189226	+	0.981934i	$0.439402\pi$
$272$	−9.23678	−	15.8135i	−0.560062	−	0.958837i
$273$	−1.74721	−	1.53214i	−0.105746	−	0.0927293i
$274$	15.8957	−	24.1651i	0.960295	−	1.45987i
$275$	17.7350			1.06946
$276$	−15.9518	−	4.64119i	−0.960184	−	0.279367i
$277$	−2.32560			−0.139732			−0.0698658	−	0.997556i	$-0.522257\pi$
$277$	−2.32560			−0.139732			−0.0698658	+	0.997556i	$0.522257\pi$
$278$	−7.27236	+	11.0557i	−0.436167	+	0.663074i
$279$	−5.85544	−	9.35248i	−0.350556	−	0.559918i
$280$	4.31868	+	1.41924i	0.258091	+	0.0848160i
$281$	0.486196	+	0.421292i	0.0290040	+	0.0251321i	0.669242	−	0.743044i	$-0.266619\pi$
$281$	0.486196	+	0.421292i	0.0290040	+	0.0251321i	−0.640238	+	0.768176i	$0.721164\pi$
$282$	12.8916	−	3.55470i	0.767683	−	0.211680i
$283$	−9.72969	−	15.1397i	−0.578370	−	0.899962i	0.421607	−	0.906779i	$-0.361466\pi$
$283$	−9.72969	−	15.1397i	−0.578370	−	0.899962i	−0.999977	+	0.00681728i	$0.997830\pi$
$284$	−28.2053	+	17.2899i	−1.67368	+	1.02597i
$285$	−2.47071	−	5.49583i	−0.146352	−	0.325545i
$286$	−14.4084	+	4.06471i	−0.851984	+	0.240351i
$287$	0.551883	−	3.83843i	0.0325766	−	0.226575i
$288$	6.03217	+	15.8623i	0.355449	+	0.934696i
$289$	−3.33275	−	2.14183i	−0.196044	−	0.125990i
$290$	29.5271	+	0.314091i	1.73389	+	0.0184440i
$291$	−1.33195	−	9.66925i	−0.0780803	−	0.566822i
$292$	14.2787	+	17.2048i	0.835600	+	1.00684i
$293$	−6.99132	+	23.8102i	−0.408437	+	1.39101i	0.456766	+	0.889587i	$0.349008\pi$
$293$	−6.99132	+	23.8102i	−0.408437	+	1.39101i	−0.865203	+	0.501422i	$0.832810\pi$
$294$	−2.61219	+	16.2542i	−0.152346	+	0.947961i
$295$	−8.92732	−	30.4037i	−0.519769	−	1.77017i
$296$	15.1051	−	9.03981i	0.877964	−	0.525428i
$297$	14.4725	−	16.1157i	0.839779	−	0.935129i
$298$	−19.9025	−	17.6197i	−1.15292	−	1.02068i
$299$	−10.4362	−	6.27781i	−0.603544	−	0.363055i
$300$	2.49317	−	14.5256i	0.143943	−	0.838634i
$301$	0.333130	+	2.31697i	0.0192013	+	0.133548i
$302$	9.18584	−	4.07751i	0.528586	−	0.234634i
$303$	0.0214394	−	3.62761i	0.00123166	−	0.208401i
$304$	−4.07636	−	2.07551i	−0.233796	−	0.119039i
$305$	4.40069	−	14.9874i	0.251983	−	0.858174i
$306$	14.3907	+	13.0467i	0.822661	+	0.745833i
$307$	31.4732	−	14.3733i	1.79627	−	0.820328i	0.832293	−	0.554337i	$-0.187028\pi$
$307$	31.4732	−	14.3733i	1.79627	−	0.820328i	0.963975	−	0.265991i	$-0.0856993\pi$
$308$	−3.26671	−	2.95460i	−0.186138	−	0.168354i
$309$	14.9548	−	12.8045i	0.850751	−	0.728422i
$310$	10.2347	+	12.0684i	0.581289	+	0.685442i
$311$	−0.237904	+	1.65466i	−0.0134903	+	0.0938270i	−0.995454	−	0.0952414i	$-0.969638\pi$
$311$	−0.237904	+	1.65466i	−0.0134903	+	0.0938270i	0.981964	+	0.189068i	$0.0605468\pi$
$312$	1.30363	+	12.3724i	0.0738034	+	0.700448i
$313$	−2.81144	−	3.24457i	−0.158912	−	0.183394i	0.670710	−	0.741720i	$-0.265989\pi$
$313$	−2.81144	−	3.24457i	−0.158912	−	0.183394i	−0.829622	+	0.558326i	$0.811444\pi$
$314$	−3.86804	−	1.18059i	−0.218286	−	0.0666247i
$315$	−4.82133	−	0.0569907i	−0.271651	−	0.00321106i
$316$	11.6475	+	1.92838i	0.655223	+	0.108480i
$317$	−6.17047	−	5.34675i	−0.346568	−	0.300303i	0.464130	−	0.885767i	$-0.346367\pi$
$317$	−6.17047	−	5.34675i	−0.346568	−	0.300303i	−0.810699	+	0.585464i	$0.800912\pi$
$318$	−20.6196	−	18.4731i	−1.15629	−	1.03592i
$319$	−26.0257	−	11.8856i	−1.45716	−	0.665463i
$320$	−11.8250	−	21.2710i	−0.661037	−	1.18909i
$321$	18.5777	+	5.57438i	1.03691	+	0.311132i
$322$	−0.0681188	−	3.58261i	−0.00379611	−	0.199651i
$323$	−5.23576			−0.291326
$324$	−11.1648	−	14.1190i	−0.620268	−	0.784390i
$325$	4.48822	−	9.82783i	0.248962	−	0.545150i
$326$	−6.47439	−	3.04039i	−0.358583	−	0.168392i
$327$	20.1688	−	12.7939i	1.11534	−	0.707505i
$328$	−16.1157	+	13.0878i	−0.889839	+	0.722656i
$329$	1.55938	+	2.42644i	0.0859714	+	0.133774i
$330$	−17.2237	+	25.8499i	−0.948132	+	1.42299i
$331$	−11.1373	+	9.65054i	−0.612162	+	0.530441i	−0.904830	−	0.425773i	$-0.860002\pi$
$331$	−11.1373	+	9.65054i	−0.612162	+	0.530441i	0.292668	+	0.956214i	$0.405457\pi$
$332$	−8.59071	+	17.7990i	−0.471477	+	0.976846i
$333$	−12.3930	+	13.9653i	−0.679133	+	0.765294i
$334$	−4.19511	−	4.94676i	−0.229546	−	0.270675i
$335$	6.78603	+	4.36112i	0.370760	+	0.238273i
$336$	−2.87915	+	2.26020i	−0.157071	+	0.123304i
$337$	9.10255	+	19.9318i	0.495848	+	1.08575i	0.977797	+	0.209555i	$0.0672017\pi$
$337$	9.10255	+	19.9318i	0.495848	+	1.08575i	−0.481949	+	0.876199i	$0.660071\pi$
$338$	1.41595	−	9.15573i	0.0770177	−	0.498006i
$339$	12.1248	−	18.6237i	0.658530	−	1.01150i
$340$	−23.1083	−	15.5552i	−1.25322	−	0.843598i
$341$	−4.31959	−	14.7112i	−0.233919	−	0.796654i
$342$	4.78571	+	0.798149i	0.258782	+	0.0431590i
$343$	−7.17527	+	1.03165i	−0.387428	+	0.0557038i
$344$	7.10805	−	10.3208i	0.383240	−	0.556460i
$345$	−24.9201	+	4.18895i	−1.34165	+	0.225525i
$346$	−11.3943	−	10.0874i	−0.612563	−	0.542304i
$347$	−0.945908	−	6.57893i	−0.0507790	−	0.353176i	−0.999332	−	0.0365561i	$-0.988361\pi$
$347$	−0.945908	−	6.57893i	−0.0507790	−	0.353176i	0.948553	−	0.316620i	$-0.102548\pi$
$348$	−13.3934	+	19.6451i	−0.717960	+	1.05309i
$349$	14.4506	−	4.24307i	0.773521	−	0.227126i	0.128930	−	0.991654i	$-0.458846\pi$
$349$	14.4506	−	4.24307i	0.773521	−	0.227126i	0.644591	+	0.764528i	$0.277028\pi$
$350$	3.15107	−	0.418895i	0.168432	−	0.0223909i
$351$	−5.26795	−	12.0984i	−0.281183	−	0.645763i
$352$	2.11036	+	23.4861i	0.112483	+	1.25182i
$353$	8.38689	−	3.83016i	0.446389	−	0.203859i	−0.179521	−	0.983754i	$-0.557455\pi$
$353$	8.38689	−	3.83016i	0.446389	−	0.203859i	0.625910	+	0.779895i	$0.284728\pi$
$354$	24.3585	+	7.59229i	1.29464	+	0.403526i
$355$	−27.2056	+	42.3328i	−1.44393	+	2.24679i
$356$	0.0610145	−	2.86761i	0.00323376	−	0.151983i
$357$	−1.76292	+	3.80064i	−0.0933034	+	0.201151i
$358$	−14.4673	+	4.08135i	−0.764622	+	0.215706i
$359$	−6.41713	−	7.40577i	−0.338683	−	0.390861i	0.560702	−	0.828017i	$-0.310531\pi$
$359$	−6.41713	−	7.40577i	−0.338683	−	0.390861i	−0.899386	+	0.437156i	$0.855986\pi$
$360$	18.7507	+	17.7408i	0.988248	+	0.935020i
$361$	14.8836	−	9.56514i	0.783350	−	0.503428i
$362$	−7.57563	+	4.75547i	−0.398166	+	0.249942i
$363$	9.32650	−	5.91619i	0.489514	−	0.310519i
$364$	−2.46400	+	1.06252i	−0.129149	+	0.0556913i
$365$	30.9349	+	14.1275i	1.61921	+	0.739467i
$366$	8.07789	+	9.64017i	0.422238	+	0.503900i
$367$			35.8166i			1.86961i	0.355160	+	0.934806i	$0.384426\pi$
$367$			35.8166i			1.86961i	−0.355160	+	0.934806i	$0.615574\pi$
$368$	−12.7484	+	14.3345i	−0.664555	+	0.747240i
$369$	12.1231	−	18.3824i	0.631101	−	0.956951i
$370$	14.7149	−	22.3701i	0.764992	−	1.16296i
$371$	2.48051	−	5.43156i	0.128782	−	0.281993i
$372$	−12.6562	+	1.46981i	−0.656194	+	0.0762062i
$373$	−4.72706	+	5.45531i	−0.244758	+	0.282465i	−0.864815	−	0.502092i	$-0.832564\pi$
$373$	−4.72706	+	5.45531i	−0.244758	+	0.282465i	0.620057	+	0.784557i	$0.287110\pi$
$374$	14.3498	+	22.8598i	0.742011	+	1.18205i
$375$	1.08440	+	3.77554i	0.0559983	+	0.194968i
$376$	2.68408	−	15.2064i	0.138421	−	0.784210i
$377$	−13.1728	+	11.4143i	−0.678432	+	0.587864i
$378$	2.19076	−	3.20521i	0.112680	−	0.164858i
$379$	−5.99832	−	0.862428i	−0.308113	−	0.0442999i	−0.0134759	−	0.999909i	$-0.504290\pi$
$379$	−5.99832	−	0.862428i	−0.308113	−	0.0442999i	−0.294637	+	0.955609i	$0.595199\pi$
$380$	−6.95625	−	0.148009i	−0.356848	−	0.00759272i
$381$	8.11406	−	6.94734i	0.415696	−	0.355923i
$382$	9.78482	+	0.104085i	0.500635	+	0.00532544i
$383$	14.7071	+	32.2041i	0.751498	+	1.64555i	0.763655	+	0.645624i	$0.223403\pi$
$383$	14.7071	+	32.2041i	0.751498	+	1.64555i	−0.0121574	+	0.999926i	$0.503870\pi$
$384$	19.5327	+	1.57321i	0.996772	+	0.0802823i
$385$	−6.42836	−	1.88754i	−0.327620	−	0.0961979i
$386$	4.48845	+	33.7636i	0.228456	+	1.71852i
$387$	−3.89523	+	12.7083i	−0.198006	+	0.645999i
$388$	−10.7440	−	3.40459i	−0.545444	−	0.172842i
$389$	25.8023	−	3.70981i	1.30823	−	0.188095i	0.547302	−	0.836935i	$-0.315655\pi$
$389$	25.8023	−	3.70981i	1.30823	−	0.188095i	0.760924	+	0.648840i	$0.224746\pi$
$390$	9.96590	+	16.0864i	0.504643	+	0.814566i
$391$	−5.55880	+	21.2419i	−0.281121	+	1.07425i
$392$	15.6558	+	10.7823i	0.790736	+	0.544589i
$393$	−1.98494	+	13.2492i	−0.100127	+	0.668333i
$394$	−25.8160	+	11.4595i	−1.30059	+	0.577322i
$395$	17.2303	−	5.05927i	0.866951	−	0.254560i
$396$	−9.63155	−	23.0823i	−0.484004	−	1.15993i
$397$	−7.86091	−	2.30817i	−0.394528	−	0.115844i	0.0784504	−	0.996918i	$-0.475003\pi$
$397$	−7.86091	−	2.30817i	−0.394528	−	0.115844i	−0.472978	+	0.881074i	$0.656821\pi$
$398$	−22.2111	−	3.43500i	−1.11334	−	0.172181i
$399$	0.142804	+	1.03668i	0.00714915	+	0.0518990i
$400$	−13.9121	−	9.80122i	−0.695605	−	0.490061i
$401$	−7.37792	+	11.4803i	−0.368436	+	0.573297i	−0.975129	−	0.221639i	$-0.928859\pi$
$401$	−7.37792	+	11.4803i	−0.368436	+	0.573297i	0.606693	+	0.794936i	$0.292496\pi$
$402$	−5.95202	+	2.60005i	−0.296860	+	0.129679i
$403$	−9.24536	−	1.32928i	−0.460544	−	0.0662163i
$404$	−3.77246	−	1.82078i	−0.187687	−	0.0905874i
$405$	−24.6291	−	11.9592i	−1.22383	−	0.594257i
$406$	−4.90487	−	1.49705i	−0.243424	−	0.0742973i
$407$	−21.8254	+	14.0263i	−1.08185	+	0.695260i
$408$	20.7403	−	8.53940i	1.02680	−	0.422763i
$409$	2.35545	−	2.71834i	0.116470	−	0.134413i	−0.694521	−	0.719473i	$-0.744383\pi$
$409$	2.35545	−	2.71834i	0.116470	−	0.134413i	0.810990	+	0.585060i	$0.198929\pi$
$410$	−13.4229	+	28.5834i	−0.662909	+	1.41164i
$411$	26.6350	+	23.3564i	1.31381	+	1.15208i
$412$	−5.93926	−	21.9437i	−0.292606	−	1.08109i
$413$			5.50310i			0.270790i
$414$	8.31913	−	18.5686i	0.408863	−	0.912596i
$415$			30.0618i			1.47567i
$416$	13.5489	+	4.77423i	0.664291	+	0.234076i
$417$	−12.1856	−	10.6856i	−0.596732	−	0.523278i
$418$	6.10227	+	2.86565i	0.298472	+	0.140163i
$419$	−7.06713	+	8.15591i	−0.345252	+	0.398442i	−0.901645	−	0.432477i	$-0.857640\pi$
$419$	−7.06713	+	8.15591i	−0.345252	+	0.398442i	0.556393	+	0.830919i	$0.312185\pi$
$420$	−2.44966	+	4.99971i	−0.119531	+	0.243961i
$421$	−22.2668	+	14.3100i	−1.08522	+	0.697426i	−0.955757	−	0.294159i	$-0.904961\pi$
$421$	−22.2668	+	14.3100i	−1.08522	+	0.697426i	−0.129460	+	0.991585i	$0.541324\pi$
$422$	4.55854	−	14.9354i	0.221906	−	0.727044i
$423$	2.13908	+	16.2379i	0.104005	+	0.789512i
$424$	−29.4873	+	12.3451i	−1.43203	+	0.599532i
$425$	−19.2804	−	2.77211i	−0.935238	−	0.134467i
$426$	−16.2197	−	37.1300i	−0.785847	−	1.79896i
$427$	−1.46661	+	2.28209i	−0.0709744	+	0.110438i
$428$	15.0234	−	16.6104i	0.726183	−	0.802894i
$429$	−2.50208	−	18.1638i	−0.120802	−	0.876956i
$430$	2.91326	−	18.8375i	0.140490	−	0.908425i
$431$	−13.0638	−	3.83587i	−0.629259	−	0.184767i	−0.0484745	−	0.998824i	$-0.515436\pi$
$431$	−13.0638	−	3.83587i	−0.629259	−	0.184767i	−0.580785	+	0.814057i	$0.697254\pi$
$432$	−20.2592	+	4.64369i	−0.974722	+	0.223420i
$433$	0.581702	−	0.170803i	0.0279548	−	0.00820827i	−0.267725	−	0.963495i	$-0.586272\pi$
$433$	0.581702	−	0.170803i	0.0279548	−	0.00820827i	0.295680	+	0.955287i	$0.404454\pi$
$434$	−1.11496	−	2.51179i	−0.0535197	−	0.120570i
$435$	−5.35832	+	35.7661i	−0.256912	+	1.71485i
$436$	−3.34336	−	27.3760i	−0.160118	−	1.31107i
$437$	1.70046	+	5.21415i	0.0813439	+	0.249427i
$438$	−23.2779	+	14.4212i	−1.11226	+	0.689073i
$439$	8.58895	−	1.23490i	0.409928	−	0.0589388i	0.0657339	−	0.997837i	$-0.479061\pi$
$439$	8.58895	−	1.23490i	0.409928	−	0.0589388i	0.344194	+	0.938898i	$0.388152\pi$
$440$	18.4190	+	30.7772i	0.878091	+	1.46725i
$441$	−19.2774	−	5.90873i	−0.917972	−	0.281368i
$442$	16.2993	−	2.16679i	0.775278	−	0.103064i
$443$	23.3851	+	6.86648i	1.11106	+	0.326236i	0.785237	−	0.619195i	$-0.212541\pi$
$443$	23.3851	+	6.86648i	1.11106	+	0.326236i	0.325822	+	0.945431i	$0.394359\pi$
$444$	8.41988	+	19.8476i	0.399590	+	0.941926i
$445$	−1.81237	−	3.96853i	−0.0859145	−	0.188126i
$446$	−0.147624	+	13.8779i	−0.00699022	+	0.657138i
$447$	24.7292	−	21.1734i	1.16965	−	1.00147i
$448$	0.929696	+	4.12307i	0.0439240	+	0.194797i
$449$	4.45751	+	0.640894i	0.210363	+	0.0302456i	0.246691	−	0.969094i	$-0.420657\pi$
$449$	4.45751	+	0.640894i	0.210363	+	0.0302456i	−0.0363275	+	0.999340i	$0.511566\pi$
$450$	17.2005	+	5.47297i	0.810841	+	0.257998i
$451$	23.1237	−	20.0368i	1.08885	−	0.943497i
$452$	−13.4109	−	21.8773i	−0.630793	−	1.02902i
$453$	3.39795	+	11.8306i	0.159650	+	0.555849i
$454$	21.5148	−	13.5056i	1.00974	−	0.633847i
$455$	−2.67282	+	3.08460i	−0.125304	+	0.144608i
$456$	3.20492	−	4.59513i	0.150084	−	0.215187i
$457$	9.67779	−	21.1914i	0.452708	−	0.991292i	−0.536381	−	0.843976i	$-0.680209\pi$
$457$	9.67779	−	21.1914i	0.452708	−	0.991292i	0.989089	−	0.147317i	$-0.0470636\pi$
$458$	6.37066	+	4.19059i	0.297681	+	0.195813i
$459$	−18.2527	+	15.2579i	−0.851961	+	0.712179i
$460$	−7.98592	+	28.0649i	−0.372346	+	1.30853i
$461$		−	0.287136i		−	0.0133732i	−0.999978	−	0.00668662i	$-0.997872\pi$
$461$		−	0.287136i		−	0.0133732i	0.999978	−	0.00668662i	$-0.00212843\pi$
$462$	4.13485	−	3.46476i	0.192371	−	0.161195i
$463$	−23.0245	−	10.5149i	−1.07004	−	0.488670i	−0.199058	−	0.979988i	$-0.563788\pi$
$463$	−23.0245	−	10.5149i	−1.07004	−	0.488670i	−0.870981	+	0.491317i	$0.836516\pi$
$464$	13.8472	+	23.7067i	0.642841	+	1.10055i
$465$	−16.3653	+	10.3812i	−0.758924	+	0.481417i
$466$	16.6997	+	26.6032i	0.773599	+	1.23237i
$467$	21.8183	−	14.0218i	1.00963	−	0.648851i	0.0723343	−	0.997380i	$-0.476955\pi$
$467$	21.8183	−	14.0218i	1.00963	−	0.648851i	0.937298	+	0.348529i	$0.113319\pi$
$468$	−15.2285	−	0.504156i	−0.703939	−	0.0233046i
$469$	−0.917405	−	1.05874i	−0.0423618	−	0.0488882i
$470$	−6.37708	−	22.6051i	−0.294153	−	1.04270i
$471$	2.08419	−	4.49327i	0.0960343	−	0.207039i
$472$	19.9937	−	21.6385i	0.920283	−	0.995994i
$473$	−9.98519	+	15.5373i	−0.459119	+	0.714404i
$474$	−4.30269	+	13.8044i	−0.197629	+	0.634057i
$475$	−4.42568	+	2.02114i	−0.203064	+	0.0927364i
$476$	3.08955	+	3.72268i	0.141609	+	0.170629i
$477$	25.8853	−	21.8995i	1.18521	−	1.00271i
$478$	−2.60957	−	19.6300i	−0.119359	−	0.897856i
$479$	−34.3142	+	10.0755i	−1.56785	+	0.460363i	−0.946376	−	0.323068i	$-0.895286\pi$
$479$	−34.3142	+	10.0755i	−1.56785	+	0.460363i	−0.621478	+	0.783432i	$0.713468\pi$
$480$	27.7970	−	10.7592i	1.26875	−	0.491087i
$481$	2.24930	+	15.6442i	0.102559	+	0.713316i
$482$	20.9036	−	23.6118i	0.952132	−	1.07549i
$483$	4.35751	+	0.521276i	0.198274	+	0.0237189i
$484$	−1.54604	−	12.6592i	−0.0702746	−	0.575420i
$485$	−16.9686	+	2.43972i	−0.770506	+	0.110782i
$486$	19.0096	−	11.1639i	0.862295	−	0.506406i
$487$	7.84402	+	26.7143i	0.355446	+	1.21054i	0.922220	+	0.386666i	$0.126373\pi$
$487$	7.84402	+	26.7143i	0.355446	+	1.21054i	−0.566774	+	0.823874i	$0.691809\pi$
$488$	14.0580	−	3.64489i	0.636377	−	0.164996i
$489$	4.77964	−	7.34150i	0.216143	−	0.331994i
$490$	28.5749	+	4.41917i	1.29088	+	0.199638i
$491$	−3.23724	−	7.08856i	−0.146094	−	0.319902i	0.822411	−	0.568893i	$-0.192628\pi$
$491$	−3.23724	−	7.08856i	−0.146094	−	0.319902i	−0.968506	+	0.248991i	$0.919901\pi$
$492$	−13.1602	−	21.7559i	−0.593306	−	0.980833i
$493$	26.4359	+	16.9893i	1.19061	+	0.765160i
$494$	3.13231	−	2.65636i	0.140929	−	0.119515i
$495$	−28.4549	−	25.2513i	−1.27895	−	1.13496i
$496$	−4.74164	+	13.9273i	−0.212906	+	0.625355i
$497$	6.60467	−	5.72298i	0.296260	−	0.256711i
$498$	−20.1436	−	13.4216i	−0.902658	−	0.601437i
$499$	6.44299	+	10.0255i	0.288428	+	0.448803i	0.954986	−	0.296650i	$-0.0958695\pi$
$499$	6.44299	+	10.0255i	0.288428	+	0.448803i	−0.666558	+	0.745453i	$0.732233\pi$
$500$	4.47496	+	0.740883i	0.200126	+	0.0331333i
$501$	6.70802	−	4.25518i	0.299692	−	0.190107i
$502$	−5.70076	+	12.1395i	−0.254438	+	0.541814i
$503$	2.08822	−	4.57257i	0.0931093	−	0.203881i	−0.857347	−	0.514739i	$-0.827889\pi$
$503$	2.08822	−	4.57257i	0.0931093	−	0.203881i	0.950456	+	0.310858i	$0.100616\pi$
$504$	−2.25649	−	3.87366i	−0.100512	−	0.172547i
$505$	−6.37153			−0.283530
$506$	18.1049	−	21.7149i	0.804862	−	0.965346i
$507$	10.8680	+	3.26103i	0.482666	+	0.144827i
$508$	−3.22247	−	11.9060i	−0.142974	−	0.528245i
$509$	−11.1224	−	5.07941i	−0.492990	−	0.225141i	0.153377	−	0.988168i	$-0.450985\pi$
$509$	−11.1224	−	5.07941i	−0.492990	−	0.225141i	−0.646367	+	0.763027i	$0.723712\pi$
$510$	22.7651	−	25.4103i	1.00806	−	1.12519i
$511$	−4.46359	−	3.86772i	−0.197458	−	0.171098i
$512$	11.3242	−	19.5899i	0.500461	−	0.865759i
$513$	−1.77494	+	5.67095i	−0.0783655	+	0.250379i
$514$	−10.0136	+	32.8081i	−0.441681	+	1.44711i
$515$	−22.6442	−	26.1328i	−0.997824	−	1.15155i
$516$	11.3219	+	10.3624i	0.498417	+	0.456181i
$517$	−3.23874	+	22.5260i	−0.142440	+	0.990691i
$518$	−3.54654	+	3.00765i	−0.155826	+	0.132149i
$519$	14.1577	−	12.1219i	0.621453	−	0.532094i
$520$	21.7165	−	2.41804i	0.952333	−	0.106038i
$521$	−18.7467	+	8.56135i	−0.821309	+	0.375079i	−0.781328	−	0.624121i	$-0.785457\pi$
$521$	−18.7467	+	8.56135i	−0.821309	+	0.375079i	−0.0399816	+	0.999200i	$0.512730\pi$
$522$	−21.5736	−	19.5589i	−0.944252	−	0.856069i
$523$	6.60092	−	22.4807i	0.288638	−	0.983011i	−0.679725	−	0.733467i	$-0.737901\pi$
$523$	6.60092	−	22.4807i	0.288638	−	0.983011i	0.968363	−	0.249544i	$-0.0802807\pi$
$524$	12.8330	+	8.63843i	0.560611	+	0.377371i
$525$	−0.0230087	+	3.89314i	−0.00100418	+	0.169910i
$526$	4.29943	+	9.68579i	0.187464	+	0.422321i
$527$	2.39654	+	16.6683i	0.104395	+	0.726083i
$528$	−28.8465	−	1.39894i	−1.25538	−	0.0608809i
$529$	22.9596	−	1.36303i	0.998242	−	0.0592621i
$530$	−32.2310	+	36.4068i	−1.40003	+	1.58141i
$531$	−13.3162	+	28.2692i	−0.577872	+	1.22678i
$532$	1.15191	+	0.365021i	0.0499417	+	0.0158257i
$533$	−5.25144	−	17.8848i	−0.227465	−	0.774676i
$534$	3.46838	+	0.557400i	0.150091	+	0.0241211i
$535$	9.59766	−	32.6866i	0.414943	−	1.41317i
$536$	−0.239289	+	7.49612i	−0.0103357	+	0.323783i
$537$	−2.51232	−	18.2381i	−0.108415	−	0.787033i
$538$	−0.0500603	+	4.70608i	−0.00215825	+	0.202893i
$539$	−23.5687	−	15.1467i	−1.01518	−	0.652414i
$540$	−24.6819	+	19.7558i	−1.06214	+	0.850152i
$541$	−1.04668	+	7.27979i	−0.0450001	+	0.312983i	0.954872	+	0.297016i	$0.0959916\pi$
$541$	−1.04668	+	7.27979i	−0.0450001	+	0.312983i	−0.999873	+	0.0159664i	$0.994918\pi$
$542$	9.93710	+	35.2245i	0.426835	+	1.51302i
$543$	−4.49181	−	9.99153i	−0.192762	−	0.428778i
$544$	1.37680	−	25.8627i	0.0590298	−	1.10885i
$545$	−22.6798	−	35.2905i	−0.971496	−	1.51168i
$546$	−0.873583	−	3.16816i	−0.0373859	−	0.135585i
$547$	−24.9687	−	21.6355i	−1.06758	−	0.925066i	−0.0702117	−	0.997532i	$-0.522367\pi$
$547$	−24.9687	−	21.6355i	−1.06758	−	0.925066i	−0.997371	+	0.0724666i	$0.976913\pi$
$548$	37.5619	−	16.1974i	1.60457	−	0.691917i
$549$	−13.0560	+	8.17419i	−0.557218	+	0.348866i
$550$	20.9541	+	13.7835i	0.893485	+	0.587730i
$551$	7.84913			0.334384
$552$	−15.2401	−	17.8812i	−0.648663	−	0.761076i
$553$	−3.11871			−0.132621
$554$	−2.74772	−	1.80744i	−0.116740	−	0.0767907i
$555$	24.6564	+	21.6214i	1.04661	+	0.917776i
$556$	−17.1848	+	7.41037i	−0.728796	+	0.314270i
$557$	−12.4688	−	10.8043i	−0.528320	−	0.457792i	0.349395	−	0.936976i	$-0.386387\pi$
$557$	−12.4688	−	10.8043i	−0.528320	−	0.457792i	−0.877715	+	0.479184i	$0.840933\pi$
$558$	0.350407	−	15.6009i	0.0148339	−	0.660438i
$559$	6.08300	+	9.46534i	0.257284	+	0.400341i
$560$	3.99955	+	5.03330i	0.169012	+	0.212696i
$561$	−30.1498	+	13.5542i	−1.27293	+	0.572259i
$562$	0.247022	+	0.875630i	0.0104200	+	0.0369362i
$563$	−0.00547538	+	0.0380821i	−0.000230760	+	0.00160497i	−0.989936	−	0.141512i	$-0.954804\pi$
$563$	−0.00547538	+	0.0380821i	−0.000230760	+	0.00160497i	0.989706	+	0.143117i	$0.0457126\pi$
$564$	17.9943	+	5.81933i	0.757695	+	0.245038i
$565$	−32.8353	−	21.1020i	−1.38139	−	0.887766i
$566$	0.270717	−	25.4496i	0.0113791	−	1.06973i
$567$	3.51891	+	3.19787i	0.147780	+	0.134298i
$568$	−46.7625	−	1.49274i	−1.96211	−	0.0626340i
$569$	−5.29978	+	18.0494i	−0.222178	+	0.756669i	0.770665	+	0.637241i	$0.219924\pi$
$569$	−5.29978	+	18.0494i	−0.222178	+	0.756669i	−0.992843	+	0.119428i	$0.961894\pi$
$570$	1.35214	−	8.41361i	0.0566351	−	0.352407i
$571$	−7.96315	−	27.1200i	−0.333248	−	1.13494i	−0.940320	−	0.340291i	$-0.889475\pi$
$571$	−7.96315	−	27.1200i	−0.333248	−	1.13494i	0.607073	−	0.794646i	$-0.292344\pi$
$572$	−20.1827	−	6.39557i	−0.843882	−	0.267412i
$573$	−1.77566	+	11.8523i	−0.0741794	+	0.495138i
$574$	3.63525	−	4.10623i	0.151733	−	0.171391i
$575$	3.50118	+	20.1012i	0.146009	+	0.838277i
$576$	−5.20100	+	23.4297i	−0.216708	+	0.976236i
$577$	−0.549512	−	3.82194i	−0.0228765	−	0.159109i	0.975181	−	0.221409i	$-0.0710656\pi$
$577$	−0.549512	−	3.82194i	−0.0228765	−	0.159109i	−0.998057	+	0.0622997i	$0.980157\pi$
$578$	−2.27307	−	5.12078i	−0.0945472	−	0.212996i
$579$	−41.7149	−	0.246538i	−1.73361	−	0.0102458i
$580$	34.6425	+	23.3194i	1.43845	+	0.968284i
$581$	1.47087	−	5.00933i	0.0610221	−	0.207822i
$582$	5.94116	−	12.4595i	0.246269	−	0.516464i
$583$	42.8557	−	19.5715i	1.77490	−	0.810570i
$584$	3.49904	+	31.4251i	0.144791	+	1.30038i
$585$	−21.1941	+	9.37789i	−0.876270	+	0.387728i
$586$	−26.7655	+	22.6985i	−1.10567	+	0.937666i
$587$	−5.44322	+	37.8584i	−0.224666	+	1.56258i	0.495393	+	0.868669i	$0.335024\pi$
$587$	−5.44322	+	37.8584i	−0.224666	+	1.56258i	−0.720058	+	0.693914i	$0.755885\pi$
$588$	−15.7189	+	17.1743i	−0.648238	+	0.708256i
$589$	2.75447	+	3.17883i	0.113496	+	0.130981i
$590$	13.0818	−	42.8606i	0.538568	−	1.76454i
$591$	−9.54967	−	33.2489i	−0.392821	−	1.36768i
$592$	24.8725	+	1.05891i	1.02225	+	0.0435210i
$593$	−2.19725	−	1.90392i	−0.0902300	−	0.0781848i	0.608578	−	0.793494i	$-0.291740\pi$
$593$	−2.19725	−	1.90392i	−0.0902300	−	0.0781848i	−0.698808	+	0.715309i	$0.746286\pi$
$594$	29.6244	−	7.79301i	1.21551	−	0.319751i
$595$	6.69351	+	3.05682i	0.274407	+	0.125318i
$596$	−9.82111	−	36.2860i	−0.402288	−	1.48633i
$597$	7.91101	−	26.3650i	0.323776	−	1.07905i
$598$	−7.45148	−	15.5283i	−0.304714	−	0.634999i
$599$	27.6314			1.12899			0.564495	−	0.825437i	$-0.309071\pi$
$599$	27.6314			1.12899			0.564495	+	0.825437i	$0.309071\pi$
$600$	14.2349	−	15.2245i	0.581136	−	0.621536i
$601$	−7.04823	+	15.4335i	−0.287503	+	0.629544i	−0.997185	−	0.0749778i	$-0.976111\pi$
$601$	−7.04823	+	15.4335i	−0.287503	+	0.629544i	0.709682	+	0.704522i	$0.248839\pi$
$602$	−1.40714	+	2.99644i	−0.0573506	+	0.122126i
$603$	−2.15078	−	7.65861i	−0.0875865	−	0.311883i
$604$	14.0222	+	2.32154i	0.570555	+	0.0944622i
$605$	−10.4876	−	16.3191i	−0.426383	−	0.663465i
$606$	2.84469	−	4.26941i	0.115557	−	0.173433i
$607$	9.02204	−	7.81764i	0.366193	−	0.317308i	−0.452255	−	0.891889i	$-0.649380\pi$
$607$	9.02204	−	7.81764i	0.366193	−	0.317308i	0.818448	+	0.574581i	$0.194835\pi$
$608$	−3.20320	−	5.62036i	−0.129907	−	0.227936i
$609$	2.64285	−	5.69769i	0.107094	−	0.230882i
$610$	16.8475	−	14.2876i	0.682137	−	0.578487i
$611$	11.6631	+	7.49544i	0.471840	+	0.303233i
$612$	6.86293	+	26.5992i	0.277418	+	1.07521i
$613$	−2.81906	−	6.17288i	−0.113861	−	0.249320i	0.844119	−	0.536156i	$-0.180124\pi$
$613$	−2.81906	−	6.17288i	−0.113861	−	0.249320i	−0.957980	+	0.286835i	$0.907397\pi$
$614$	48.3568	+	7.47848i	1.95152	+	0.301807i
$615$	−32.4116	−	21.1014i	−1.30696	−	0.850889i
$616$	−1.56336	−	6.02976i	−0.0629897	−	0.242946i
$617$	10.4239	+	35.5005i	0.419649	+	1.42919i	0.850120	+	0.526590i	$0.176530\pi$
$617$	10.4239	+	35.5005i	0.419649	+	1.42919i	−0.430470	+	0.902605i	$0.641652\pi$
$618$	27.6209	−	3.50586i	1.11107	−	0.141026i
$619$	11.7737	−	1.69281i	0.473227	−	0.0680398i	0.0984246	−	0.995145i	$-0.468620\pi$
$619$	11.7737	−	1.69281i	0.473227	−	0.0680398i	0.374802	+	0.927105i	$0.377711\pi$
$620$	2.71286	+	22.2133i	0.108951	+	0.892108i
$621$	21.1230	+	13.2219i	0.847637	+	0.530576i
$622$	−1.56707	+	1.77010i	−0.0628339	+	0.0709745i
$623$	0.107830	+	0.749971i	0.00432010	+	0.0300469i
$624$	−8.07547	+	15.6313i	−0.323277	+	0.625752i
$625$	27.0306	−	7.93691i	1.08122	−	0.317476i
$626$	−0.800089	−	6.01853i	−0.0319780	−	0.240549i
$627$	−4.50493	+	6.91955i	−0.179910	+	0.276340i
$628$	−3.65259	−	4.40110i	−0.145754	−	0.175623i
$629$	25.9198	−	11.8372i	1.03349	−	0.471979i
$630$	−5.65216	−	3.81444i	−0.225188	−	0.151971i
$631$	−8.72950	+	13.5834i	−0.347516	+	0.540746i	−0.970380	−	0.241585i	$-0.922333\pi$
$631$	−8.72950	+	13.5834i	−0.347516	+	0.540746i	0.622864	+	0.782330i	$0.285969\pi$
$632$	12.2629	+	11.3308i	0.487794	+	0.450714i
$633$	17.3495	+	8.04753i	0.689582	+	0.319861i
$634$	−3.13504	−	11.1129i	−0.124508	−	0.441350i
$635$	−12.2861	−	14.1789i	−0.487559	−	0.562673i
$636$	−10.0052	−	37.8517i	−0.396730	−	1.50092i
$637$	−14.3581	+	9.22740i	−0.568889	+	0.365603i
$638$	−21.5123	−	34.2699i	−0.851682	−	1.35676i
$639$	47.7762	−	13.4170i	1.89000	−	0.530770i
$640$	2.56033	−	34.3223i	0.101206	−	1.35671i
$641$	23.7603	+	10.8510i	0.938475	+	0.428587i	0.825114	−	0.564966i	$-0.191111\pi$
$641$	23.7603	+	10.8510i	0.938475	+	0.428587i	0.113362	+	0.993554i	$0.463838\pi$
$642$	17.6174	+	21.0247i	0.695305	+	0.829778i
$643$			31.4055i			1.23851i	0.785189	+	0.619257i	$0.212566\pi$
$643$			31.4055i			1.23851i	−0.785189	+	0.619257i	$0.787434\pi$
$644$	2.70390	−	4.28584i	0.106549	−	0.168886i
$645$	22.3605	+	6.70943i	0.880443	+	0.264183i
$646$	−6.18612	−	4.06920i	−0.243390	−	0.160101i
$647$	5.53192	−	12.1132i	0.217482	−	0.476220i	−0.769173	−	0.639040i	$-0.779332\pi$
$647$	5.53192	−	12.1132i	0.217482	−	0.476220i	0.986656	+	0.162820i	$0.0520590\pi$
$648$	−2.21817	−	25.3590i	−0.0871381	−	0.996196i
$649$	−28.4341	+	32.8147i	−1.11614	+	1.28809i
$650$	12.9410	−	8.12349i	0.507588	−	0.318630i
$651$	3.23496	−	0.929140i	0.126788	−	0.0364159i
$652$	−5.28659	−	8.62411i	−0.207039	−	0.337746i
$653$	−22.1725	+	19.2126i	−0.867677	+	0.751846i	−0.970051	−	0.242899i	$-0.921901\pi$
$653$	−22.1725	+	19.2126i	−0.867677	+	0.751846i	0.102374	+	0.994746i	$0.467356\pi$
$654$	33.7731	+	0.558893i	1.32063	+	0.0218544i
$655$	23.2906	+	3.34869i	0.910041	+	0.130844i
$656$	−29.2126	+	2.93847i	−1.14056	+	0.114728i
$657$	−13.5703	−	30.6691i	−0.529429	−	1.19652i
$658$	−0.0433878	+	4.07881i	−0.00169143	+	0.159009i
$659$	−5.92236	−	12.9682i	−0.230702	−	0.505168i	0.758509	−	0.651662i	$-0.225928\pi$
$659$	−5.92236	−	12.9682i	−0.230702	−	0.505168i	−0.989211	+	0.146495i	$0.953201\pi$
$660$	−40.4403	+	17.1558i	−1.57414	+	0.667791i
$661$	−3.90603	−	1.14691i	−0.151927	−	0.0446098i	0.204885	−	0.978786i	$-0.434318\pi$
$661$	−3.90603	−	1.14691i	−0.151927	−	0.0446098i	−0.356812	+	0.934176i	$0.616136\pi$
$662$	−20.6592	+	2.74638i	−0.802943	+	0.106741i
$663$	−0.119015	+	20.1377i	−0.00462217	+	0.782085i
$664$	−23.9833	+	14.3531i	−0.930732	+	0.557007i
$665$	1.81928	−	0.261573i	0.0705487	−	0.0101434i
$666$	−25.4962	+	6.86841i	−0.987959	+	0.266145i
$667$	8.33341	−	31.8445i	0.322671	−	1.23302i
$668$	−1.11198	−	9.10507i	−0.0430238	−	0.352286i
$669$	−16.8102	−	2.51844i	−0.649922	−	0.0973685i
$670$	4.62835	+	10.4268i	0.178809	+	0.402821i
$671$	−20.5368	+	6.03014i	−0.792813	+	0.232791i
$672$	−5.15836	+	0.432791i	−0.198988	+	0.0166953i
$673$	−2.26167	−	0.664086i	−0.0871810	−	0.0255986i	0.237851	−	0.971302i	$-0.423557\pi$
$673$	−2.26167	−	0.664086i	−0.0871810	−	0.0255986i	−0.325032	+	0.945703i	$0.605375\pi$
$674$	−4.73609	+	30.6241i	−0.182427	+	1.17960i
$675$	−9.53864	+	19.9432i	−0.367142	+	0.767615i
$676$	8.78873	−	9.71713i	0.338028	−	0.373736i
$677$	3.80720	−	5.92412i	0.146323	−	0.227682i	−0.760354	−	0.649509i	$-0.774975\pi$
$677$	3.80720	−	5.92412i	0.146323	−	0.227682i	0.906677	+	0.421827i	$0.138611\pi$
$678$	28.7998	−	12.5808i	1.10605	−	0.483161i
$679$	2.94693	+	0.423705i	0.113093	+	0.0162603i
$680$	−15.2134	−	36.3382i	−0.583406	−	1.39351i
$681$	12.7568	+	28.3760i	0.488840	+	1.08737i
$682$	6.32977	−	20.7386i	0.242379	−	0.794121i
$683$	14.2550	−	9.16116i	0.545454	−	0.350542i	−0.238715	−	0.971090i	$-0.576726\pi$
$683$	14.2550	−	9.16116i	0.545454	−	0.350542i	0.784169	+	0.620548i	$0.213090\pi$
$684$	5.03406	+	4.66244i	0.192482	+	0.178273i
$685$	40.7452	−	47.0224i	1.55679	−	1.79663i
$686$	−9.27946	−	4.35766i	−0.354291	−	0.166376i
$687$	−6.15744	+	7.02178i	−0.234921	+	0.267898i
$688$	16.4195	−	6.66982i	0.625987	−	0.254284i
$689$		−	28.7015i		−	1.09344i
$690$	−32.6990	−	14.4185i	−1.24483	−	0.548901i
$691$			8.83409i			0.336065i	0.985781	+	0.168032i	$0.0537413\pi$
$691$			8.83409i			0.336065i	−0.985781	+	0.168032i	$0.946259\pi$
$692$	−5.62266	−	20.7740i	−0.213742	−	0.789710i
$693$	3.50606	+	5.59999i	0.133184	+	0.212726i
$694$	3.99550	−	8.50824i	0.151667	−	0.322969i
$695$	−18.6411	+	21.5130i	−0.707097	+	0.816033i
$696$	−31.0925	+	12.8017i	−1.17856	+	0.485249i
$697$	−28.2707	+	18.1685i	−1.07083	+	0.688180i
$698$	20.3712	+	6.21764i	0.771061	+	0.235341i
$699$	−35.0871	+	15.7738i	−1.32712	+	0.596620i
$700$	4.04859	+	1.95406i	0.153022	+	0.0738564i
$701$	10.0849	+	1.44999i	0.380902	+	0.0547655i	0.330107	−	0.943944i	$-0.392915\pi$
$701$	10.0849	+	1.44999i	0.380902	+	0.0547655i	0.0507955	+	0.998709i	$0.483824\pi$
$702$	3.17862	−	18.3886i	0.119969	−	0.694033i
$703$	3.84795	−	5.98752i	0.145128	−	0.225824i
$704$	−15.7599	+	29.3893i	−0.593972	+	1.10765i
$705$	28.4970	−	3.92549i	1.07326	−	0.147842i
$706$	12.8860	+	1.99285i	0.484971	+	0.0750018i
$707$	1.06172	+	0.311749i	0.0399300	+	0.0117245i
$708$	22.8792	+	27.9016i	0.859853	+	1.04861i
$709$	12.9008	−	3.78802i	0.484500	−	0.142262i	−0.0303551	−	0.999539i	$-0.509664\pi$
$709$	12.9008	−	3.78802i	0.484500	−	0.142262i	0.514855	+	0.857277i	$0.327846\pi$
$710$	−65.0445	+	28.8727i	−2.44108	+	1.08357i
$711$	−16.0207	−	7.54651i	−0.600822	−	0.283016i
$712$	2.30077	−	3.34069i	0.0862251	−	0.125198i
$713$	15.8212	−	7.80014i	0.592508	−	0.292118i
$714$	−5.03674	+	3.12038i	−0.188495	+	0.116777i
$715$	−31.8758	+	4.58305i	−1.19209	+	0.171396i
$716$	−20.2653	−	6.42174i	−0.757350	−	0.239992i
$717$	24.2528	+	0.143336i	0.905739	+	0.00535298i
$718$	−1.82621	−	13.7374i	−0.0681536	−	0.512674i
$719$	21.8408	+	6.41303i	0.814524	+	0.239166i	0.662356	−	0.749189i	$-0.269557\pi$
$719$	21.8408	+	6.41303i	0.814524	+	0.239166i	0.152167	+	0.988355i	$0.451375\pi$
$720$	8.36618	+	35.5338i	0.311789	+	1.32427i
$721$	2.49468	+	5.46258i	0.0929066	+	0.203437i
$722$	25.0192	+	0.266138i	0.931117	+	0.00990464i
$723$	25.1196	+	29.3381i	0.934207	+	1.09110i
$724$	−12.6466	−	0.269084i	−0.470008	−	0.0100004i
$725$	28.9040	+	4.15577i	1.07347	+	0.154341i
$726$	15.6174	+	0.258444i	0.579616	+	0.00959176i
$727$	−17.0883	+	14.8071i	−0.633769	+	0.549164i	−0.911399	−	0.411524i	$-0.864996\pi$
$727$	−17.0883	+	14.8071i	−0.633769	+	0.549164i	0.277630	+	0.960688i	$0.410451\pi$
$728$	−3.73704	−	0.659625i	−0.138504	−	0.0244473i
$729$	10.3384	+	24.9423i	0.382905	+	0.923788i
$730$	25.5702	+	40.7342i	0.946394	+	1.50764i
$731$	13.2839	−	15.3305i	0.491323	−	0.567017i
$732$	2.05186	+	17.6681i	0.0758387	+	0.653030i
$733$	11.6890	−	25.5953i	0.431742	−	0.945383i	−0.561299	−	0.827613i	$-0.689698\pi$
$733$	11.6890	−	25.5953i	0.431742	−	0.945383i	0.993041	−	0.117770i	$-0.0375746\pi$
$734$	−27.8364	+	42.3177i	−1.02746	+	1.56198i
$735$	−10.1776	+	33.9190i	−0.375408	+	1.25112i
$736$	−26.2031	+	7.02849i	−0.965858	+	0.259074i
$737$		−	11.0534i		−	0.407157i
$738$	28.6102	−	12.2971i	1.05316	−	0.452663i
$739$	42.0687	+	19.2121i	1.54752	+	0.706729i	0.992171	−	0.124887i	$-0.0398569\pi$
$739$	42.0687	+	19.2121i	1.54752	+	0.706729i	0.555350	+	0.831617i	$0.312584\pi$
$740$	34.7717	−	14.9942i	1.27823	−	0.551196i
$741$	2.69440	+	4.24755i	0.0989812	+	0.156038i
$742$	7.15212	−	4.48962i	0.262563	−	0.164819i
$743$	−1.66942	+	1.07287i	−0.0612450	+	0.0393598i	−0.570905	−	0.821016i	$-0.693408\pi$
$743$	−1.66942	+	1.07287i	−0.0612450	+	0.0393598i	0.509660	+	0.860376i	$0.329771\pi$
$744$	−16.0958	−	8.09972i	−0.590100	−	0.296950i
$745$	−37.4443	−	43.2130i	−1.37185	−	1.58320i
$746$	−9.82490	+	2.77168i	−0.359715	+	0.101479i
$747$	19.6772	−	22.1736i	0.719950	−	0.811289i
$748$	−0.811972	+	38.1617i	−0.0296886	+	1.39533i
$749$	−3.19860	+	4.97713i	−0.116874	+	0.181860i
$750$	−1.65309	+	5.30364i	−0.0603622	+	0.193661i
$751$	−0.598627	+	0.273384i	−0.0218442	+	0.00997592i	−0.426307	−	0.904578i	$-0.640186\pi$
$751$	−0.598627	+	0.273384i	−0.0218442	+	0.00997592i	0.404463	+	0.914554i	$0.367458\pi$
$752$	14.9896	−	15.8805i	0.546614	−	0.579102i
$753$	−13.7654	−	8.96186i	−0.501638	−	0.326588i
$754$	−24.4349	+	3.24831i	−0.889865	+	0.118297i
$755$	20.7432	−	6.09076i	0.754923	−	0.221665i
$756$	5.07947	−	2.08435i	0.184739	−	0.0758071i
$757$	5.38932	+	37.4835i	0.195878	+	1.36236i	0.816088	+	0.577927i	$0.196138\pi$
$757$	5.38932	+	37.4835i	0.195878	+	1.36236i	−0.620210	+	0.784436i	$0.712953\pi$
$758$	−6.41681	−	5.68082i	−0.233069	−	0.206337i
$759$	23.2902	+	25.6233i	0.845382	+	0.930067i
$760$	−8.10387	−	5.58123i	−0.293958	−	0.202452i
$761$	40.2058	−	5.78071i	1.45746	−	0.209551i	0.632419	−	0.774627i	$-0.282062\pi$
$761$	40.2058	−	5.78071i	1.45746	−	0.209551i	0.825039	+	0.565076i	$0.191153\pi$
$762$	14.9863	−	1.90218i	0.542896	−	0.0689086i
$763$	2.05254	+	6.99029i	0.0743068	+	0.253066i
$764$	11.4800	+	7.72767i	0.415332	+	0.279577i
$765$	26.9875	+	31.8995i	0.975737	+	1.15333i
$766$	−7.65215	+	49.4797i	−0.276483	+	1.78778i
$767$	10.9884	+	24.0613i	0.396769	+	0.868802i
$768$	21.8554	+	17.0394i	0.788639	+	0.614857i
$769$	−35.2560	−	22.6577i	−1.27137	−	0.817057i	−0.281568	−	0.959541i	$-0.590855\pi$
$769$	−35.2560	−	22.6577i	−1.27137	−	0.817057i	−0.989797	+	0.142484i	$0.954491\pi$
$770$	−6.12821	−	7.22623i	−0.220845	−	0.260415i
$771$	−38.1112	−	17.6778i	−1.37254	−	0.636650i
$772$	−20.9377	+	43.3805i	−0.753564	+	1.56130i
$773$	−14.7402	+	12.7724i	−0.530167	+	0.459392i	−0.878339	−	0.478038i	$-0.841348\pi$
$773$	−14.7402	+	12.7724i	−0.530167	+	0.459392i	0.348172	+	0.937431i	$0.386803\pi$
$774$	−14.4791	+	11.9877i	−0.520439	+	0.430887i
$775$	8.46015	+	13.1643i	0.303898	+	0.472874i
$776$	−10.0481	−	12.3727i	−0.360707	−	0.444155i
$777$	−3.05072	−	4.80926i	−0.109444	−	0.172531i
$778$	33.3689	+	15.6702i	1.19633	+	0.561802i
$779$	−3.48696	+	7.63537i	−0.124933	+	0.273566i
$780$	−0.727395	+	26.7517i	−0.0260449	+	0.957864i
$781$	68.9536			2.46735
$782$	−23.0768	+	20.7773i	−0.825226	+	0.742994i
$783$	27.3633	−	22.8737i	0.977883	−	0.817441i
$784$	10.1175	+	24.9070i	0.361341	+	0.889535i
$785$	−7.91333	−	3.61390i	−0.282439	−	0.128986i
$786$	−12.6424	+	14.1114i	−0.450940	+	0.503337i
$787$	−27.3531	−	23.7016i	−0.975033	−	0.844871i	0.0128743	−	0.999917i	$-0.495902\pi$
$787$	−27.3531	−	23.7016i	−0.975033	−	0.844871i	−0.987907	+	0.155046i	$0.950447\pi$
$788$	−39.4082	−	6.52450i	−1.40386	−	0.232426i
$789$	−12.4745	+	3.58289i	−0.444103	+	0.127554i
$790$	24.2898	+	7.41368i	0.864194	+	0.263767i
$791$	4.43901	+	5.12289i	0.157833	+	0.182149i
$792$	6.55961	−	34.7576i	0.233086	−	1.23506i
$793$	−1.85568	+	12.9065i	−0.0658970	+	0.458324i
$794$	−7.49386	−	8.83657i	−0.265947	−	0.313598i
$795$	−38.7316	−	45.2361i	−1.37367	−	1.60436i
$796$	−23.5730	−	21.3208i	−0.835524	−	0.755696i
$797$	−23.7924	+	10.8656i	−0.842772	+	0.384881i	−0.789538	−	0.613701i	$-0.789680\pi$
$797$	−23.7924	+	10.8656i	−0.842772	+	0.384881i	−0.0532332	+	0.998582i	$0.516953\pi$
$798$	−0.636978	+	1.33584i	−0.0225488	+	0.0472882i
$799$	7.04195	−	23.9827i	0.249126	−	0.848447i
$800$	−8.81988	−	22.3927i	−0.311830	−	0.791700i
$801$	−1.26083	+	4.11349i	−0.0445492	+	0.145343i
$802$	−17.6395	+	7.83001i	−0.622872	+	0.276487i
$803$	−6.63193	−	46.1261i	−0.234036	−	1.62775i
$804$	−9.05313	−	1.55388i	−0.319279	−	0.0548011i
$805$	0.870306	−	7.65867i	0.0306743	−	0.269933i
$806$	−9.89040	−	8.75599i	−0.348374	−	0.308417i
$807$	−5.70045	−	0.854017i	−0.200665	−	0.0300628i
$808$	−3.04211	−	5.08321i	−0.107021	−	0.178827i
$809$	−10.2196	−	34.8046i	−0.359301	−	1.22367i	−0.918763	−	0.394810i	$-0.870811\pi$
$809$	−10.2196	−	34.8046i	−0.359301	−	1.22367i	0.559462	−	0.828856i	$-0.311008\pi$
$810$	−19.8049	−	33.2715i	−0.695875	−	1.16904i
$811$	−0.152131	+	0.518110i	−0.00534203	+	0.0181933i	−0.962121	−	0.272623i	$-0.912109\pi$
$811$	−0.152131	+	0.518110i	−0.00534203	+	0.0181933i	0.956779	+	0.290817i	$0.0939269\pi$
$812$	−4.63166	−	5.58081i	−0.162540	−	0.195848i
$813$	−44.4055	+	6.11691i	−1.55737	+	0.214529i
$814$	−36.6882	−	0.390266i	−1.28592	−	0.0136788i
$815$	−12.9438	−	8.31845i	−0.453400	−	0.291383i
$816$	31.1416	+	6.02977i	1.09017	+	0.211084i
$817$	0.721078	−	5.01521i	0.0252273	−	0.175460i
$818$	4.89567	−	1.38111i	0.171173	−	0.0482893i
$819$	3.99052	−	0.525687i	0.139440	−	0.0183690i
$820$	−38.0741	+	23.3395i	−1.32961	+	0.815051i
$821$	−4.66881	−	7.26482i	−0.162943	−	0.253544i	0.750175	−	0.661239i	$-0.229969\pi$
$821$	−4.66881	−	7.26482i	−0.162943	−	0.253544i	−0.913118	+	0.407695i	$0.866333\pi$
$822$	13.3171	+	48.2963i	0.464489	+	1.68453i
$823$	−12.3564	−	10.7069i	−0.430717	−	0.373219i	0.412351	−	0.911025i	$-0.364708\pi$
$823$	−12.3564	−	10.7069i	−0.430717	−	0.373219i	−0.843068	+	0.537806i	$0.819253\pi$
$824$	10.0372	−	30.5427i	0.349663	−	1.06401i
$825$	−20.2528	+	23.0957i	−0.705111	+	0.804090i
$826$	−4.27697	+	6.50198i	−0.148815	+	0.226233i
$827$	15.7649			0.548198			0.274099	−	0.961701i	$-0.411620\pi$
$827$	15.7649			0.548198			0.274099	+	0.961701i	$0.411620\pi$
$828$	24.2605	−	15.4734i	0.843111	−	0.537739i
$829$	7.99422			0.277651			0.138825	−	0.990317i	$-0.455667\pi$
$829$	7.99422			0.277651			0.138825	+	0.990317i	$0.455667\pi$
$830$	−23.3638	+	35.5184i	−0.810970	+	1.23286i
$831$	2.65576	−	3.02856i	0.0921273	−	0.105059i
$832$	12.2977	+	16.1709i	0.426347	+	0.560627i
$833$	23.2550	+	20.1506i	0.805738	+	0.698176i
$834$	−6.09265	−	22.0958i	−0.210971	−	0.765114i
$835$	−7.54316	−	11.7374i	−0.261042	−	0.406189i
$836$	4.98275	+	8.12844i	0.172332	+	0.281128i
$837$	18.8662	+	3.05487i	0.652111	+	0.105592i
$838$	−14.6886	+	4.14378i	−0.507410	+	0.143144i
$839$	−1.91148	+	13.2947i	−0.0659918	+	0.458983i	0.929854	+	0.367928i	$0.119933\pi$
$839$	−1.91148	+	13.2947i	−0.0659918	+	0.458983i	−0.995846	+	0.0910545i	$0.970976\pi$
$840$	−6.78004	+	4.00336i	−0.233934	+	0.138129i
$841$	−15.2347	−	9.79072i	−0.525333	−	0.337611i
$842$	−37.4301	−	0.398158i	−1.28993	−	0.0137214i
$843$	−1.10386	+	0.152058i	−0.0380188	+	0.00523714i
$844$	16.9937	−	14.1035i	0.584946	−	0.485462i
$845$	5.61466	−	19.1218i	0.193150	−	0.657809i
$846$	−10.0926	+	20.8477i	−0.346991	+	0.716759i
$847$	0.949137	+	3.23246i	0.0326127	+	0.111069i
$848$	−44.4341	−	8.33138i	−1.52587	−	0.286101i
$849$	30.8270	+	4.61836i	1.05798	+	0.158502i
$850$	−20.6256	−	18.2599i	−0.707452	−	0.626309i
$851$	−20.2065	−	21.9683i	−0.692668	−	0.753065i
$852$	9.69344	−	56.4754i	0.332092	−	1.93482i
$853$	−3.38157	−	23.5193i	−0.115783	−	0.805287i	−0.962117	−	0.272635i	$-0.912105\pi$
$853$	−3.38157	−	23.5193i	−0.115783	−	0.805287i	0.846335	−	0.532652i	$-0.178804\pi$
$854$	−3.50645	+	1.55648i	−0.119988	+	0.0532617i
$855$	9.97853	+	3.05853i	0.341258	+	0.104599i
$856$	30.6598	−	7.94931i	1.04793	−	0.271702i
$857$	−8.21714	+	27.9850i	−0.280692	+	0.955949i	0.691620	+	0.722262i	$0.256897\pi$
$857$	−8.21714	+	27.9850i	−0.280692	+	0.955949i	−0.972312	+	0.233687i	$0.924921\pi$
$858$	11.1605	−	23.4053i	0.381014	−	0.799045i
$859$	−29.5324	+	13.4870i	−1.00763	+	0.460170i	−0.849692	−	0.527279i	$-0.823212\pi$
$859$	−29.5324	+	13.4870i	−1.00763	+	0.460170i	−0.157939	+	0.987449i	$0.550485\pi$
$860$	18.0824	−	19.9926i	0.616606	−	0.681741i
$861$	4.36844	+	5.10206i	0.148876	+	0.173878i
$862$	−12.4538	−	14.6852i	−0.424177	−	0.500179i
$863$	4.33223	−	30.1313i	0.147471	−	1.02568i	−0.772870	−	0.634564i	$-0.781180\pi$
$863$	4.33223	−	30.1313i	0.147471	−	1.02568i	0.920341	−	0.391117i	$-0.127911\pi$
$864$	−27.5456	−	10.2587i	−0.937119	−	0.349010i
$865$	−21.4372	−	24.7398i	−0.728886	−	0.841179i
$866$	0.820035	+	0.250289i	0.0278659	+	0.00850516i
$867$	6.59513	−	1.89424i	0.223982	−	0.0643317i
$868$	0.634805	−	3.83424i	0.0215467	−	0.130143i
$869$	−18.5967	−	16.1141i	−0.630850	−	0.546635i
$870$	−34.1280	+	38.0936i	−1.15705	+	1.29149i
$871$	−6.12524	−	2.79730i	−0.207546	−	0.0947831i
$872$	17.3262	−	34.9435i	0.586739	−	1.18333i
$873$	14.1130	+	9.30742i	0.477654	+	0.315008i
$874$	−2.04329	+	7.48217i	−0.0691154	+	0.253088i
$875$	−1.19820			−0.0405067
$876$	−38.7112	−	1.05258i	−1.30793	−	0.0355635i
$877$	−1.21048	+	2.65059i	−0.0408751	+	0.0895039i	−0.928968	−	0.370160i	$-0.879303\pi$
$877$	−1.21048	+	2.65059i	−0.0408751	+	0.0895039i	0.888093	+	0.459664i	$0.152030\pi$
$878$	11.1077	+	5.21622i	0.374867	+	0.176039i
$879$	−23.0235	−	36.2951i	−0.776564	−	1.22420i
$880$	−2.15758	+	50.6788i	−0.0727319	+	1.70838i
$881$	0.489972	+	0.762411i	0.0165076	+	0.0256863i	0.849409	−	0.527735i	$-0.176958\pi$
$881$	0.489972	+	0.762411i	0.0165076	+	0.0256863i	−0.832902	+	0.553421i	$0.813322\pi$
$882$	−18.1843	−	21.9635i	−0.612296	−	0.739550i
$883$	35.1193	−	30.4311i	1.18186	−	1.02409i	0.182696	−	0.983169i	$-0.441518\pi$
$883$	35.1193	−	30.4311i	1.18186	−	1.02409i	0.999163	−	0.0409169i	$-0.0130279\pi$
$884$	20.9418	+	10.1076i	0.704349	+	0.339955i
$885$	49.7885	+	23.0942i	1.67362	+	0.776304i
$886$	22.2932	+	26.2876i	0.748954	+	0.883148i
$887$	−5.36264	−	3.44636i	−0.180060	−	0.115717i	0.447506	−	0.894281i	$-0.352312\pi$
$887$	−5.36264	−	3.44636i	−0.180060	−	0.115717i	−0.627566	+	0.778564i	$0.715949\pi$
$888$	−5.47724	+	29.9941i	−0.183804	+	1.00653i
$889$	1.35354	+	2.96384i	0.0453962	+	0.0994038i
$890$	0.942981	−	6.09743i	0.0316088	−	0.204386i
$891$	4.45991	+	37.2507i	0.149413	+	1.24795i
$892$	−10.9602	+	16.2822i	−0.366976	+	0.545168i
$893$	−1.75893	−	5.99036i	−0.0588603	−	0.200460i
$894$	45.6736	−	5.79726i	1.52756	−	0.193889i
$895$	−32.0062	+	4.60180i	−1.06985	+	0.153821i
$896$	−2.10597	+	5.59401i	−0.0703556	+	0.186883i
$897$	20.0933	−	6.42176i	0.670895	−	0.214416i
$898$	4.76851	+	4.22157i	0.159127	+	0.140876i
$899$	−3.59275	−	24.9881i	−0.119825	−	0.833400i
$900$	16.0691	+	19.8345i	0.535637	+	0.661151i
$901$	−49.6494	+	14.5784i	−1.65406	+	0.485676i
$902$	42.8934	−	5.70215i	1.42820	−	0.189861i
$903$	−3.39775	−	2.21208i	−0.113070	−	0.0736135i
$904$	1.15784	−	36.2712i	0.0385092	−	1.20636i
$905$	−17.5019	+	7.99284i	−0.581782	+	0.265691i
$906$	−5.17992	+	16.6188i	−0.172091	+	0.552124i
$907$	−17.1644	+	26.7083i	−0.569934	+	0.886835i	−0.999872	−	0.0160237i	$-0.994899\pi$
$907$	−17.1644	+	26.7083i	−0.569934	+	0.886835i	0.429937	+	0.902859i	$0.358536\pi$
$908$	35.9165	+	0.764200i	1.19193	+	0.0253609i
$909$	4.69965	+	4.17054i	0.155878	+	0.138328i
$910$	−5.55529	+	1.56719i	−0.184156	+	0.0519519i
$911$	13.0584	+	15.0703i	0.432646	+	0.499300i	0.929648	−	0.368450i	$-0.120111\pi$
$911$	13.0584	+	15.0703i	0.432646	+	0.499300i	−0.497002	+	0.867749i	$0.665566\pi$
$912$	7.35796	−	2.93836i	0.243646	−	0.0972988i
$913$	34.6536	−	22.2705i	1.14687	−	0.737047i
$914$	27.9042	−	17.5164i	0.922990	−	0.579391i
$915$	14.4922	+	22.8460i	0.479096	+	0.755265i
$916$	4.27011	+	9.90246i	0.141089	+	0.327187i
$917$	−3.71718	−	1.69758i	−0.122752	−	0.0560590i
$918$	−33.4241	+	3.84159i	−1.10316	+	0.126791i
$919$		−	12.1005i		−	0.399157i	−0.979882	−	0.199579i	$-0.936043\pi$
$919$		−	12.1005i		−	0.399157i	0.979882	−	0.199579i	$-0.0639573\pi$
$920$	−31.2473	+	26.9524i	−1.03019	+	0.888594i
$921$	−17.2234	+	57.4004i	−0.567531	+	1.89141i
$922$	0.223160	−	0.339254i	0.00734938	−	0.0111727i
$923$	17.4502	−	38.2106i	0.574381	−	1.25772i
$924$	7.57817	−	0.880080i	0.249303	−	0.0289525i
$925$	17.3400	−	20.0114i	0.570135	−	0.657971i
$926$	−19.0316	−	30.3180i	−0.625417	−	0.996311i
$927$	−0.403052	+	34.0976i	−0.0132380	+	1.11991i
$928$	−2.06401	+	38.7717i	−0.0677545	+	1.27274i
$929$	31.2013	−	27.0361i	1.02368	−	0.887024i	0.0300317	−	0.999549i	$-0.490439\pi$
$929$	31.2013	−	27.0361i	1.02368	−	0.887024i	0.993649	+	0.112525i	$0.0358937\pi$
$930$	−27.4040	−	0.453495i	−0.898614	−	0.0148707i
$931$	7.60764	+	1.09381i	0.249330	+	0.0358483i
$932$	−0.944938	+	44.4109i	−0.0309525	+	1.45473i
$933$	−1.88313	−	2.19938i	−0.0616510	−	0.0720045i
$934$	36.6763	+	0.390139i	1.20008	+	0.0127657i
$935$	24.1187	+	52.8126i	0.788766	+	1.72716i
$936$	−17.6009	−	12.4312i	−0.575303	−	0.406326i
$937$	−19.3011	−	5.66730i	−0.630538	−	0.185143i	−0.0491794	−	0.998790i	$-0.515661\pi$
$937$	−19.3011	−	5.66730i	−0.630538	−	0.185143i	−0.581359	+	0.813647i	$0.697479\pi$
$938$	−0.261079	−	1.96392i	−0.00852452	−	0.0641242i
$939$	7.43588	+	0.0439466i	0.242661	+	0.00143414i
$940$	10.0339	−	31.6644i	0.327271	−	1.03278i
$941$	5.39252	−	0.775327i	0.175791	−	0.0252749i	−0.0538571	−	0.998549i	$-0.517152\pi$
$941$	5.39252	−	0.775327i	0.175791	−	0.0252749i	0.229648	+	0.973274i	$0.426242\pi$
$942$	5.95463	−	3.68904i	0.194012	−	0.120195i
$943$	27.2752	+	22.2533i	0.888202	+	0.724667i
$944$	40.4401	−	10.0272i	1.31621	−	0.326359i
$945$	5.58002	−	6.21359i	0.181518	−	0.202128i
$946$	−23.8731	+	10.5970i	−0.776180	+	0.344539i
$947$	48.3919	−	14.2092i	1.57253	−	0.461736i	0.624791	−	0.780792i	$-0.285184\pi$
$947$	48.3919	−	14.2092i	1.57253	−	0.461736i	0.947736	+	0.319056i	$0.103366\pi$
$948$	−15.8124	+	12.9660i	−0.513562	+	0.421118i
$949$	−27.2391	−	7.99813i	−0.884220	−	0.259630i
$950$	−6.79982	−	1.05161i	−0.220615	−	0.0341186i
$951$	14.0094	−	1.92981i	0.454286	−	0.0625784i
$952$	0.757102	+	6.79957i	0.0245378	+	0.220375i
$953$	6.11646	−	9.51739i	0.198131	−	0.308299i	−0.727944	−	0.685636i	$-0.759524\pi$
$953$	6.11646	−	9.51739i	0.198131	−	0.308299i	0.926076	+	0.377338i	$0.123160\pi$
$954$	47.6040	−	5.75661i	1.54124	−	0.186377i
$955$	20.8351	+	2.99563i	0.674208	+	0.0969365i
$956$	12.1731	−	25.2212i	0.393705	−	0.815713i
$957$	45.1988	−	20.3196i	1.46107	−	0.656840i
$958$	−48.3732	−	14.7643i	−1.56287	−	0.477014i
$959$	−9.09028	+	5.84197i	−0.293541	+	0.188647i
$960$	41.2044	+	8.89151i	1.32987	+	0.286972i
$961$	−11.4415	+	13.2042i	−0.369081	+	0.425942i
$962$	−9.50101	+	20.2320i	−0.306325	+	0.652306i
$963$	−28.4745	+	17.8275i	−0.917579	+	0.574482i
$964$	43.0488	−	11.6515i	1.38651	−	0.375270i
$965$			73.2679i			2.35858i
$966$	4.74332	+	4.00252i	0.152614	+	0.128779i
$967$		−	50.4152i		−	1.62124i	−0.585571	−	0.810621i	$-0.699130\pi$
$967$		−	50.4152i		−	1.62124i	0.585571	−	0.810621i	$-0.300870\pi$
$968$	8.01201	−	16.1586i	0.257516	−	0.519358i
$969$	5.97908	−	6.81838i	0.192076	−	0.219038i
$970$	−21.9448	−	10.3053i	−0.704605	−	0.330885i
$971$	−14.3987	+	16.6170i	−0.462077	+	0.533265i	−0.938191	−	0.346119i	$-0.887499\pi$
$971$	−14.3987	+	16.6170i	−0.462077	+	0.533265i	0.476114	+	0.879384i	$0.342045\pi$
$972$	31.1367	+	1.58385i	0.998709	+	0.0508021i
$973$	4.15884	−	2.67273i	0.133326	−	0.0856837i
$974$	−11.4943	+	37.6596i	−0.368302	+	1.20669i
$975$	7.67309	+	17.0680i	0.245736	+	0.546612i
$976$	19.4425	+	6.61932i	0.622340	+	0.211879i
$977$	−3.53420	−	0.508142i	−0.113069	−	0.0162569i	0.0855479	−	0.996334i	$-0.472736\pi$
$977$	−3.53420	−	0.508142i	−0.113069	−	0.0162569i	−0.198617	+	0.980077i	$0.563645\pi$
$978$	11.3530	−	4.95937i	0.363028	−	0.158583i
$979$	−3.23206	+	5.02919i	−0.103297	+	0.160734i
$980$	30.3270	+	27.4295i	0.968761	+	0.876203i
$981$	−6.37101	+	40.8755i	−0.203411	+	1.30505i
$982$	1.68434	−	10.8912i	0.0537496	−	0.347552i
$983$	−48.6143	−	14.2745i	−1.55056	−	0.455284i	−0.609289	−	0.792948i	$-0.708545\pi$
$983$	−48.6143	−	14.2745i	−1.55056	−	0.455284i	−0.941267	+	0.337664i	$0.890363\pi$
$984$	1.35966	−	35.9329i	0.0433445	−	1.14550i
$985$	−58.2971	+	17.1176i	−1.85750	+	0.545411i
$986$	18.0303	+	40.6188i	0.574203	+	1.29357i
$987$	−4.94065	−	0.740186i	−0.157262	−	0.0235604i
$988$	5.76537	−	0.704111i	0.183421	−	0.0224007i
$989$	−19.5815	−	8.25010i	−0.622655	−	0.262338i
$990$	−13.9947	−	51.9496i	−0.444780	−	1.65107i
$991$	−15.0555	+	2.16465i	−0.478253	+	0.0687625i	−0.377226	−	0.926121i	$-0.623122\pi$
$991$	−15.0555	+	2.16465i	−0.478253	+	0.0687625i	−0.101027	+	0.994884i	$0.532213\pi$
$992$	−16.4265	+	12.7701i	−0.521543	+	0.405452i
$993$	0.150851	−	25.5244i	0.00478711	−	0.809992i
$994$	12.2514	−	1.62867i	0.388590	−	0.0516582i
$995$	−46.3880	−	13.6207i	−1.47060	−	0.431807i
$996$	−13.3688	−	31.5133i	−0.423606	−	0.998537i
$997$	0.859773	+	1.88264i	0.0272293	+	0.0596238i	0.922758	−	0.385380i	$-0.125930\pi$
$997$	0.859773	+	1.88264i	0.0272293	+	0.0596238i	−0.895529	+	0.445004i	$0.853202\pi$
$998$	−0.179268	+	16.8527i	−0.00567464	+	0.533463i
$999$	−4.03417	−	32.0870i	−0.127635	−	1.01519i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	276.2.o.a.95.37	yes	440
3.2	odd	2	inner	276.2.o.a.95.8	✓	440
4.3	odd	2	inner	276.2.o.a.95.33	yes	440
12.11	even	2	inner	276.2.o.a.95.12	yes	440
23.8	even	11	inner	276.2.o.a.215.12	yes	440
69.8	odd	22	inner	276.2.o.a.215.33	yes	440
92.31	odd	22	inner	276.2.o.a.215.8	yes	440
276.215	even	22	inner	276.2.o.a.215.37	yes	440

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
276.2.o.a.95.8	✓	440	3.2	odd	2	inner
276.2.o.a.95.12	yes	440	12.11	even	2	inner
276.2.o.a.95.33	yes	440	4.3	odd	2	inner
276.2.o.a.95.37	yes	440	1.1	even	1	trivial
276.2.o.a.215.8	yes	440	92.31	odd	22	inner
276.2.o.a.215.12	yes	440	23.8	even	11	inner
276.2.o.a.215.33	yes	440	69.8	odd	22	inner
276.2.o.a.215.37	yes	440	276.215	even	22	inner

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 $\F_{q}$

Level:	\( N \)	\(=\)	\( 276 = 2^{2} \cdot 3 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	276.o (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(1.18151 + 0.777193i) q^{2} +(-1.14197 + 1.30227i) q^{3} +(0.791942 + 1.83653i) q^{4} +(2.29908 + 1.99216i) q^{5} +(-2.36137 + 0.651118i) q^{6} +(-0.285633 - 0.444454i) q^{7} +(-0.491646 + 2.78537i) q^{8} +(-0.391816 - 2.97430i) q^{9} +O(q^{10})\)	\(q+(1.18151 + 0.777193i) q^{2} +(-1.14197 + 1.30227i) q^{3} +(0.791942 + 1.83653i) q^{4} +(2.29908 + 1.99216i) q^{5} +(-2.36137 + 0.651118i) q^{6} +(-0.285633 - 0.444454i) q^{7} +(-0.491646 + 2.78537i) q^{8} +(-0.391816 - 2.97430i) q^{9} +(1.16809 + 4.14060i) q^{10} +(0.593244 - 4.12610i) q^{11} +(-3.29603 - 1.06593i) q^{12} +(-2.13635 - 1.37295i) q^{13} +(0.00794739 - 0.747119i) q^{14} +(-5.21981 + 0.719035i) q^{15} +(-2.74566 + 2.90884i) q^{16} +(-1.28988 + 4.39293i) q^{17} +(1.84867 - 3.81869i) q^{18} +(0.322184 + 1.09726i) q^{19} +(-1.83792 + 5.80000i) q^{20} +(0.904983 + 0.135581i) q^{21} +(3.90770 - 4.41397i) q^{22} +(4.79372 - 0.142168i) q^{23} +(-3.06586 - 3.82106i) q^{24} +(0.605477 + 4.21118i) q^{25} +(-1.45708 - 3.28251i) q^{26} +(4.32079 + 2.88631i) q^{27} +(0.590046 - 0.876554i) q^{28} +(1.93371 - 6.58561i) q^{29} +(-6.72610 - 3.20725i) q^{30} +(3.34571 - 1.52793i) q^{31} +(-5.50476 + 1.30293i) q^{32} +(4.69583 + 5.48444i) q^{33} +(-4.93817 + 4.18782i) q^{34} +(0.228731 - 1.59086i) q^{35} +(5.15209 - 3.07506i) q^{36} +(-4.07570 - 4.70360i) q^{37} +(-0.472117 + 1.54682i) q^{38} +(4.22759 - 1.21424i) q^{39} +(-6.67925 + 5.42435i) q^{40} +(5.54721 + 4.80669i) q^{41} +(0.963876 + 0.863536i) q^{42} +(-4.03023 - 1.84055i) q^{43} +(8.04751 - 2.17813i) q^{44} +(5.02448 - 7.61872i) q^{45} +(5.77433 + 3.55768i) q^{46} -5.45938 q^{47} +(-0.652650 - 6.89739i) q^{48} +(2.79195 - 6.11352i) q^{49} +(-2.55752 + 5.44614i) q^{50} +(-4.24778 - 6.69636i) q^{51} +(0.829590 - 5.01075i) q^{52} +(6.11038 + 9.50794i) q^{53} +(2.86185 + 6.76830i) q^{54} +(9.58379 - 8.30440i) q^{55} +(1.37840 - 0.577080i) q^{56} +(-1.79685 - 0.833464i) q^{57} +(7.40299 - 6.27811i) q^{58} +(-8.76264 - 5.63141i) q^{59} +(-5.45432 - 9.01689i) q^{60} +(-2.13299 - 4.67060i) q^{61} +(5.14049 + 0.794988i) q^{62} +(-1.21002 + 1.02370i) q^{63} +(-7.51657 - 2.73883i) q^{64} +(-2.17650 - 7.41247i) q^{65} +(1.28572 + 10.1295i) q^{66} +(2.62464 - 0.377366i) q^{67} +(-9.08924 + 1.11005i) q^{68} +(-5.28914 + 6.40508i) q^{69} +(1.50666 - 1.70185i) q^{70} +(2.35410 + 16.3731i) q^{71} +(8.47717 + 0.370951i) q^{72} +(10.7263 - 3.14952i) q^{73} +(-1.15988 - 8.72497i) q^{74} +(-6.17553 - 4.02054i) q^{75} +(-1.75999 + 1.46067i) q^{76} +(-2.00331 + 0.914881i) q^{77} +(5.93865 + 1.85101i) q^{78} +(3.19142 - 4.96594i) q^{79} +(-12.1074 + 1.21787i) q^{80} +(-8.69296 + 2.33076i) q^{81} +(2.81838 + 9.99041i) q^{82} +(6.47124 + 7.46821i) q^{83} +(0.467697 + 1.76940i) q^{84} +(-11.7170 + 7.53005i) q^{85} +(-3.33131 - 5.30690i) q^{86} +(6.36801 + 10.0388i) q^{87} +(11.2011 + 3.68098i) q^{88} +(-1.30453 - 0.595758i) q^{89} +(11.8577 - 5.09662i) q^{90} +1.34167i q^{91} +(4.05745 + 8.69121i) q^{92} +(-1.83091 + 6.10187i) q^{93} +(-6.45033 - 4.24299i) q^{94} +(-1.44519 + 3.16453i) q^{95} +(4.58949 - 8.65659i) q^{96} +(-3.69031 + 4.25885i) q^{97} +(8.05011 - 5.05332i) q^{98} +(-12.5047 - 0.147813i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 440 q - 22 q^{4} - 8 q^{6} - 18 q^{9}+O(q^{10}) \) 440 * q - 22 * q^4 - 8 * q^6 - 18 * q^9	\( 440 q - 22 q^{4} - 8 q^{6} - 18 q^{9} - 30 q^{10} - 18 q^{12} - 36 q^{13} - 30 q^{16} - 10 q^{18} - 22 q^{21} - 48 q^{22} - 14 q^{24} - 8 q^{25} - 34 q^{28} - 21 q^{30} - 6 q^{33} - 32 q^{34} + 22 q^{36} - 36 q^{37} - 168 q^{40} + q^{42} - 44 q^{45} - 110 q^{46} - 6 q^{48} - 16 q^{49} - 94 q^{52} + 21 q^{54} - 46 q^{57} - 116 q^{58} - 47 q^{60} - 68 q^{61} - 28 q^{64} - 20 q^{66} - 22 q^{69} - 44 q^{70} - 23 q^{72} - 36 q^{73} - 74 q^{76} + 134 q^{78} - 130 q^{81} + 36 q^{82} + 105 q^{84} - 60 q^{85} + 38 q^{88} + 162 q^{90} - 332 q^{93} - 40 q^{94} + 225 q^{96} - 36 q^{97}+O(q^{100}) \) 440 * q - 22 * q^4 - 8 * q^6 - 18 * q^9 - 30 * q^10 - 18 * q^12 - 36 * q^13 - 30 * q^16 - 10 * q^18 - 22 * q^21 - 48 * q^22 - 14 * q^24 - 8 * q^25 - 34 * q^28 - 21 * q^30 - 6 * q^33 - 32 * q^34 + 22 * q^36 - 36 * q^37 - 168 * q^40 + q^42 - 44 * q^45 - 110 * q^46 - 6 * q^48 - 16 * q^49 - 94 * q^52 + 21 * q^54 - 46 * q^57 - 116 * q^58 - 47 * q^60 - 68 * q^61 - 28 * q^64 - 20 * q^66 - 22 * q^69 - 44 * q^70 - 23 * q^72 - 36 * q^73 - 74 * q^76 + 134 * q^78 - 130 * q^81 + 36 * q^82 + 105 * q^84 - 60 * q^85 + 38 * q^88 + 162 * q^90 - 332 * q^93 - 40 * q^94 + 225 * q^96 - 36 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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