LMFDB - Embedded newform 552.2.t.a.19.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [552,2,Mod(19,552)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(552, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 11, 0, 15]))

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

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

chi := DirichletCharacter("552.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 552 = 2^{3} \cdot 3 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	552.t (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:	$4.40774219157$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$24$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			19.2
Character	$\chi$	$=$	552.19
Dual form			552.2.t.a.523.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.40783 - 0.134195i) q^{2} +(0.959493 - 0.281733i) q^{3} +(1.96398 + 0.377848i) q^{4} +(-2.06189 - 1.32509i) q^{5} +(-1.38861 + 0.267873i) q^{6} +(0.593065 + 4.12486i) q^{7} +(-2.71425 - 0.795503i) q^{8} +(0.841254 - 0.540641i) q^{9} +O(q^{10})$	\(q+(-1.40783 - 0.134195i) q^{2} +(0.959493 - 0.281733i) q^{3} +(1.96398 + 0.377848i) q^{4} +(-2.06189 - 1.32509i) q^{5} +(-1.38861 + 0.267873i) q^{6} +(0.593065 + 4.12486i) q^{7} +(-2.71425 - 0.795503i) q^{8} +(0.841254 - 0.540641i) q^{9} +(2.72497 + 2.14220i) q^{10} +(1.59434 + 0.728112i) q^{11} +(1.99088 - 0.190776i) q^{12} +(-2.56541 - 0.368851i) q^{13} +(-0.281401 - 5.88669i) q^{14} +(-2.35169 - 0.690517i) q^{15} +(3.71446 + 1.48417i) q^{16} +(-5.58921 + 4.84308i) q^{17} +(-1.25690 + 0.648240i) q^{18} +(2.08982 + 1.81084i) q^{19} +(-3.54882 - 3.38154i) q^{20} +(1.73115 + 3.79068i) q^{21} +(-2.14686 - 1.23901i) q^{22} +(1.18142 + 4.64804i) q^{23} +(-2.82843 + 0.00141391i) q^{24} +(0.418424 + 0.916220i) q^{25} +(3.56217 + 0.863546i) q^{26} +(0.654861 - 0.755750i) q^{27} +(-0.393799 + 8.32524i) q^{28} +(2.22212 - 1.92548i) q^{29} +(3.21812 + 1.28772i) q^{30} +(-1.49050 + 5.07616i) q^{31} +(-5.03017 - 2.58793i) q^{32} +(1.73489 + 0.249440i) q^{33} +(8.51859 - 6.06820i) q^{34} +(4.24299 - 9.29085i) q^{35} +(1.85649 - 0.743944i) q^{36} +(-2.72605 + 1.75193i) q^{37} +(-2.69911 - 2.82980i) q^{38} +(-2.56541 + 0.368851i) q^{39} +(4.54236 + 5.23688i) q^{40} +(7.91970 + 5.08968i) q^{41} +(-1.92847 - 5.56896i) q^{42} +(0.804897 + 2.74123i) q^{43} +(2.85615 + 2.03242i) q^{44} -2.45097 q^{45} +(-1.03950 - 6.70220i) q^{46} -8.38687i q^{47} +(3.98214 + 0.377570i) q^{48} +(-9.94626 + 2.92049i) q^{49} +(-0.466118 - 1.34603i) q^{50} +(-3.99835 + 6.22156i) q^{51} +(-4.89906 - 1.69375i) q^{52} +(0.605336 + 4.21020i) q^{53} +(-1.02335 + 0.976090i) q^{54} +(-2.32254 - 3.61394i) q^{55} +(1.67161 - 11.6677i) q^{56} +(2.51534 + 1.14872i) q^{57} +(-3.38676 + 2.41255i) q^{58} +(-0.900238 + 6.26129i) q^{59} +(-4.35776 - 2.24474i) q^{60} +(11.8234 + 3.47166i) q^{61} +(2.77956 - 6.94637i) q^{62} +(2.72898 + 3.14941i) q^{63} +(6.73435 + 4.31840i) q^{64} +(4.80083 + 4.15994i) q^{65} +(-2.40897 - 0.583984i) q^{66} +(-5.92760 + 2.70704i) q^{67} +(-12.8071 + 7.39985i) q^{68} +(2.44307 + 4.12691i) q^{69} +(-7.22020 + 12.5106i) q^{70} +(-8.52255 + 3.89212i) q^{71} +(-2.71346 + 0.798217i) q^{72} +(2.29554 - 2.64920i) q^{73} +(4.07293 - 2.10060i) q^{74} +(0.659604 + 0.761223i) q^{75} +(3.42015 + 4.34609i) q^{76} +(-2.05781 + 7.00825i) q^{77} +(3.66117 - 0.175015i) q^{78} +(1.03554 - 7.20234i) q^{79} +(-5.69212 - 7.98221i) q^{80} +(0.415415 - 0.909632i) q^{81} +(-10.4666 - 8.22820i) q^{82} +(4.36463 + 6.79149i) q^{83} +(1.96764 + 8.09895i) q^{84} +(17.9418 - 2.57965i) q^{85} +(-0.765301 - 3.96720i) q^{86} +(1.58964 - 2.47352i) q^{87} +(-3.74824 - 3.24459i) q^{88} +(3.87023 + 13.1808i) q^{89} +(3.45055 + 0.328908i) q^{90} -10.8007i q^{91} +(0.564044 + 9.57506i) q^{92} +5.29046i q^{93} +(-1.12548 + 11.8073i) q^{94} +(-1.90944 - 6.50295i) q^{95} +(-5.55552 - 1.06594i) q^{96} +(-3.90224 + 6.07200i) q^{97} +(14.3946 - 2.77682i) q^{98} +(1.73489 - 0.249440i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q + 24 q^{3} - 4 q^{4} + 11 q^{6} - 24 q^{9}+O(q^{10}) $ 240 * q + 24 * q^3 - 4 * q^4 + 11 * q^6 - 24 * q^9	$ 240 q + 24 q^{3} - 4 q^{4} + 11 q^{6} - 24 q^{9} + 4 q^{12} - 4 q^{16} + 44 q^{17} - 55 q^{20} - 24 q^{25} + 24 q^{27} + 33 q^{34} + 7 q^{36} - 132 q^{38} + 11 q^{40} - 66 q^{42} + 77 q^{44} + 37 q^{48} - 56 q^{49} - 37 q^{50} - 55 q^{52} - 11 q^{54} + 132 q^{56} + 37 q^{58} + 11 q^{60} + 51 q^{62} - 4 q^{64} - 55 q^{66} - 132 q^{70} + 144 q^{73} + 44 q^{74} + 24 q^{75} - 55 q^{76} - 198 q^{80} - 24 q^{81} - 26 q^{82} + 44 q^{84} - 110 q^{86} + 22 q^{88} - 139 q^{92} - 117 q^{94} - 209 q^{98}+O(q^{100}) $ 240 * q + 24 * q^3 - 4 * q^4 + 11 * q^6 - 24 * q^9 + 4 * q^12 - 4 * q^16 + 44 * q^17 - 55 * q^20 - 24 * q^25 + 24 * q^27 + 33 * q^34 + 7 * q^36 - 132 * q^38 + 11 * q^40 - 66 * q^42 + 77 * q^44 + 37 * q^48 - 56 * q^49 - 37 * q^50 - 55 * q^52 - 11 * q^54 + 132 * q^56 + 37 * q^58 + 11 * q^60 + 51 * q^62 - 4 * q^64 - 55 * q^66 - 132 * q^70 + 144 * q^73 + 44 * q^74 + 24 * q^75 - 55 * q^76 - 198 * q^80 - 24 * q^81 - 26 * q^82 + 44 * q^84 - 110 * q^86 + 22 * q^88 - 139 * q^92 - 117 * q^94 - 209 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/552\mathbb{Z}\right)^\times$.

$n$	$97$	$185$	$277$	$415$
$\chi(n)$	$e\left(\frac{15}{22}\right)$	$1$	$-1$	$-1$

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 $

$2$	−1.40783	−	0.134195i	−0.995488	−	0.0948902i
$2$	−1.40783	−	0.134195i	−0.995488	−	0.0948902i
$3$	0.959493	−	0.281733i	0.553964	−	0.162658i
$3$	0.959493	−	0.281733i	0.553964	−	0.162658i
$4$	1.96398	+	0.377848i	0.981992	+	0.188924i
$5$	−2.06189	−	1.32509i	−0.922103	−	0.592600i	−0.00883601	−	0.999961i	$-0.502813\pi$
$5$	−2.06189	−	1.32509i	−0.922103	−	0.592600i	−0.913267	+	0.407361i	$0.866449\pi$
$6$	−1.38861	+	0.267873i	−0.566899	+	0.109359i
$7$	0.593065	+	4.12486i	0.224157	+	1.55905i	0.722069	+	0.691821i	$0.243191\pi$
$7$	0.593065	+	4.12486i	0.224157	+	1.55905i	−0.497911	+	0.867228i	$0.665900\pi$
$8$	−2.71425	−	0.795503i	−0.959634	−	0.281253i
$9$	0.841254	−	0.540641i	0.280418	−	0.180214i
$10$	2.72497	+	2.14220i	0.861710	+	0.677424i
$11$	1.59434	+	0.728112i	0.480713	+	0.219534i	0.641007	−	0.767535i	$-0.278517\pi$
$11$	1.59434	+	0.728112i	0.480713	+	0.219534i	−0.160294	+	0.987069i	$0.551244\pi$
$12$	1.99088	−	0.190776i	0.574718	−	0.0550722i
$13$	−2.56541	−	0.368851i	−0.711518	−	0.102301i	−0.222954	−	0.974829i	$-0.571570\pi$
$13$	−2.56541	−	0.368851i	−0.711518	−	0.102301i	−0.488564	+	0.872528i	$0.662479\pi$
$14$	−0.281401	−	5.88669i	−0.0752075	−	1.57328i
$15$	−2.35169	−	0.690517i	−0.607203	−	0.178291i
$16$	3.71446	+	1.48417i	0.928615	+	0.371044i
$17$	−5.58921	+	4.84308i	−1.35558	+	1.17462i	−0.388118	+	0.921610i	$0.626875\pi$
$17$	−5.58921	+	4.84308i	−1.35558	+	1.17462i	−0.967464	+	0.253009i	$0.918580\pi$
$18$	−1.25690	+	0.648240i	−0.296253	+	0.152792i
$19$	2.08982	+	1.81084i	0.479437	+	0.415435i	0.860763	−	0.509006i	$-0.169987\pi$
$19$	2.08982	+	1.81084i	0.479437	+	0.415435i	−0.381326	+	0.924441i	$0.624532\pi$
$20$	−3.54882	−	3.38154i	−0.793541	−	0.756135i
$21$	1.73115	+	3.79068i	0.377767	+	0.827195i
$22$	−2.14686	−	1.23901i	−0.457712	−	0.264158i
$23$	1.18142	+	4.64804i	0.246344	+	0.969183i
$23$	1.18142	+	4.64804i	0.246344	+	0.969183i
$24$	−2.82843	+	0.00141391i	−0.577350	+	0.000288613i
$25$	0.418424	+	0.916220i	0.0836847	+	0.183244i
$26$	3.56217	+	0.863546i	0.698600	+	0.169355i
$27$	0.654861	−	0.755750i	0.126028	−	0.145444i
$28$	−0.393799	+	8.32524i	−0.0744211	+	1.57332i
$29$	2.22212	−	1.92548i	0.412637	−	0.357552i	−0.423667	−	0.905818i	$-0.639257\pi$
$29$	2.22212	−	1.92548i	0.412637	−	0.357552i	0.836304	+	0.548266i	$0.184712\pi$
$30$	3.21812	+	1.28772i	0.587545	+	0.235104i
$31$	−1.49050	+	5.07616i	−0.267701	+	0.911706i	0.710439	+	0.703759i	$0.248496\pi$
$31$	−1.49050	+	5.07616i	−0.267701	+	0.911706i	−0.978140	+	0.207947i	$0.933322\pi$
$32$	−5.03017	−	2.58793i	−0.889217	−	0.457486i
$33$	1.73489	+	0.249440i	0.302006	+	0.0434220i
$34$	8.51859	−	6.06820i	1.46093	−	1.04069i
$35$	4.24299	−	9.29085i	0.717196	−	1.57044i
$36$	1.85649	−	0.743944i	0.309415	−	0.123991i
$37$	−2.72605	+	1.75193i	−0.448160	+	0.288015i	−0.745189	−	0.666853i	$-0.767641\pi$
$37$	−2.72605	+	1.75193i	−0.448160	+	0.288015i	0.297028	+	0.954869i	$0.404004\pi$
$38$	−2.69911	−	2.82980i	−0.437853	−	0.459054i
$39$	−2.56541	+	0.368851i	−0.410795	+	0.0590634i
$40$	4.54236	+	5.23688i	0.718211	+	0.828023i
$41$	7.91970	+	5.08968i	1.23685	+	0.794875i	0.984943	−	0.172877i	$-0.0553064\pi$
$41$	7.91970	+	5.08968i	1.23685	+	0.794875i	0.251906	+	0.967752i	$0.418943\pi$
$42$	−1.92847	−	5.56896i	−0.297570	−	0.859309i
$43$	0.804897	+	2.74123i	0.122746	+	0.418033i	0.997823	−	0.0659499i	$-0.0210077\pi$
$43$	0.804897	+	2.74123i	0.122746	+	0.418033i	−0.875077	+	0.483983i	$0.839190\pi$
$44$	2.85615	+	2.03242i	0.430581	+	0.306399i
$45$	−2.45097			−0.365369
$46$	−1.03950	−	6.70220i	−0.153266	−	0.988185i
$47$		−	8.38687i		−	1.22335i	−0.791109	−	0.611675i	$-0.790496\pi$
$47$		−	8.38687i		−	1.22335i	0.791109	−	0.611675i	$-0.209504\pi$
$48$	3.98214	+	0.377570i	0.574772	+	0.0544975i
$49$	−9.94626	+	2.92049i	−1.42089	+	0.417212i
$50$	−0.466118	−	1.34603i	−0.0659191	−	0.190358i
$51$	−3.99835	+	6.22156i	−0.559882	+	0.871193i
$52$	−4.89906	−	1.69375i	−0.679378	−	0.234881i
$53$	0.605336	+	4.21020i	0.0831492	+	0.578316i	0.988218	+	0.153051i	$0.0489099\pi$
$53$	0.605336	+	4.21020i	0.0831492	+	0.578316i	−0.905069	+	0.425265i	$0.860181\pi$
$54$	−1.02335	+	0.976090i	−0.139261	+	0.132829i
$55$	−2.32254	−	3.61394i	−0.313171	−	0.487303i
$56$	1.67161	−	11.6677i	0.223378	−	1.55916i
$57$	2.51534	+	1.14872i	0.333165	+	0.152151i
$58$	−3.38676	+	2.41255i	−0.444703	+	0.316783i
$59$	−0.900238	+	6.26129i	−0.117201	+	0.815150i	0.843413	+	0.537265i	$0.180543\pi$
$59$	−0.900238	+	6.26129i	−0.117201	+	0.815150i	−0.960614	+	0.277885i	$0.910367\pi$
$60$	−4.35776	−	2.24474i	−0.562585	−	0.289795i
$61$	11.8234	+	3.47166i	1.51383	+	0.444500i	0.930056	−	0.367417i	$-0.119758\pi$
$61$	11.8234	+	3.47166i	1.51383	+	0.444500i	0.583772	+	0.811917i	$0.301576\pi$
$62$	2.77956	−	6.94637i	0.353005	−	0.882190i
$63$	2.72898	+	3.14941i	0.343820	+	0.396789i
$64$	6.73435	+	4.31840i	0.841794	+	0.539799i
$65$	4.80083	+	4.15994i	0.595469	+	0.515977i
$66$	−2.40897	−	0.583984i	−0.296523	−	0.0718834i
$67$	−5.92760	+	2.70704i	−0.724172	+	0.330718i	−0.743171	−	0.669101i	$-0.766679\pi$
$67$	−5.92760	+	2.70704i	−0.724172	+	0.330718i	0.0189994	+	0.999819i	$0.493952\pi$
$68$	−12.8071	+	7.39985i	−1.55308	+	0.897364i
$69$	2.44307	+	4.12691i	0.294111	+	0.496822i
$70$	−7.22020	+	12.5106i	−0.862979	+	1.49530i
$71$	−8.52255	+	3.89212i	−1.01144	+	0.461910i	−0.851017	−	0.525139i	$-0.824013\pi$
$71$	−8.52255	+	3.89212i	−1.01144	+	0.461910i	−0.160424	+	0.987048i	$0.551286\pi$
$72$	−2.71346	+	0.798217i	−0.319784	+	0.0940707i
$73$	2.29554	−	2.64920i	0.268673	−	0.310065i	−0.605341	−	0.795966i	$-0.706963\pi$
$73$	2.29554	−	2.64920i	0.268673	−	0.310065i	0.874014	+	0.485901i	$0.161509\pi$
$74$	4.07293	−	2.10060i	0.473468	−	0.244190i
$75$	0.659604	+	0.761223i	0.0761645	+	0.0878985i
$76$	3.42015	+	4.34609i	0.392318	+	0.498531i
$77$	−2.05781	+	7.00825i	−0.234509	+	0.798665i
$78$	3.66117	−	0.175015i	0.414546	−	0.0198165i
$79$	1.03554	−	7.20234i	0.116507	−	0.810327i	−0.844846	−	0.535009i	$-0.820308\pi$
$79$	1.03554	−	7.20234i	0.116507	−	0.810327i	0.961353	−	0.275317i	$-0.0887828\pi$
$80$	−5.69212	−	7.98221i	−0.636399	−	0.892438i
$81$	0.415415	−	0.909632i	0.0461572	−	0.101070i
$82$	−10.4666	−	8.22820i	−1.15584	−	0.908653i
$83$	4.36463	+	6.79149i	0.479080	+	0.745463i	0.993714	−	0.111947i	$-0.0357086\pi$
$83$	4.36463	+	6.79149i	0.479080	+	0.745463i	−0.514634	+	0.857410i	$0.672072\pi$
$84$	1.96764	+	8.09895i	0.214687	+	0.883668i
$85$	17.9418	−	2.57965i	1.94607	−	0.279802i
$86$	−0.765301	−	3.96720i	−0.0825246	−	0.427794i
$87$	1.58964	−	2.47352i	0.170427	−	0.265189i
$88$	−3.74824	−	3.24459i	−0.399563	−	0.345874i
$89$	3.87023	+	13.1808i	0.410244	+	1.39716i	0.862854	+	0.505453i	$0.168675\pi$
$89$	3.87023	+	13.1808i	0.410244	+	1.39716i	−0.452610	+	0.891709i	$0.649507\pi$
$90$	3.45055	+	0.328908i	0.363720	+	0.0346699i
$91$		−	10.8007i		−	1.13222i
$92$	0.564044	+	9.57506i	0.0588057	+	0.998269i
$93$			5.29046i			0.548596i
$94$	−1.12548	+	11.8073i	−0.116084	+	1.21783i
$95$	−1.90944	−	6.50295i	−0.195904	−	0.667188i
$96$	−5.55552	−	1.06594i	−0.567008	−	0.108792i
$97$	−3.90224	+	6.07200i	−0.396212	+	0.616519i	−0.980847	−	0.194778i	$-0.937601\pi$
$97$	−3.90224	+	6.07200i	−0.396212	+	0.616519i	0.584635	+	0.811297i	$0.301238\pi$
$98$	14.3946	−	2.77682i	1.45407	−	0.280501i
$99$	1.73489	−	0.249440i	0.174363	−	0.0250697i
$100$	0.475585	+	1.95754i	0.0475585	+	0.195754i
$101$	−4.93208	−	7.67447i	−0.490761	−	0.763639i	0.504234	−	0.863567i	$-0.331775\pi$
$101$	−4.93208	−	7.67447i	−0.490761	−	0.763639i	−0.994995	+	0.0999285i	$0.968139\pi$
$102$	6.46391	−	8.22235i	0.640023	−	0.814134i
$103$	3.68292	−	8.06448i	0.362889	−	0.794617i	−0.636832	−	0.771003i	$-0.719755\pi$
$103$	3.68292	−	8.06448i	0.362889	−	0.794617i	0.999721	−	0.0236140i	$-0.00751726\pi$
$104$	6.66976	+	3.04195i	0.654024	+	0.298288i
$105$	1.45358	−	10.1099i	0.141855	−	0.986624i
$106$	−0.287223	−	6.00849i	−0.0278976	−	0.583596i
$107$	5.29452	−	18.0315i	0.511840	−	1.74317i	−0.145288	−	0.989389i	$-0.546411\pi$
$107$	5.29452	−	18.0315i	0.511840	−	1.74317i	0.657128	−	0.753779i	$-0.271771\pi$
$108$	1.57169	−	1.23684i	0.151236	−	0.119015i
$109$	−12.5411	−	14.4732i	−1.20122	−	1.38628i	−0.901795	−	0.432164i	$-0.857750\pi$
$109$	−12.5411	−	14.4732i	−1.20122	−	1.38628i	−0.299427	−	0.954119i	$-0.596795\pi$
$110$	2.78477	+	5.39949i	0.265517	+	0.514821i
$111$	−2.12205	+	2.44898i	−0.201416	+	0.232447i
$112$	−3.91909	+	16.2018i	−0.370319	+	1.53093i
$113$	−9.94683	+	4.54256i	−0.935719	+	0.427328i	−0.824114	−	0.566424i	$-0.808326\pi$
$113$	−9.94683	+	4.54256i	−0.935719	+	0.427328i	−0.111605	+	0.993753i	$0.535599\pi$
$114$	−3.38702	−	1.95475i	−0.317224	−	0.183079i
$115$	3.72312	−	11.1492i	0.347183	−	1.03967i
$116$	5.09174	−	2.94198i	0.472756	−	0.273156i
$117$	−2.35758	+	1.07667i	−0.217958	+	0.0995382i
$118$	2.10762	−	8.69404i	0.194022	−	0.800351i
$119$	−23.2918	−	20.1824i	−2.13515	−	1.85012i
$120$	5.83376	+	3.74501i	0.532547	+	0.341871i
$121$	−5.19168	−	5.99152i	−0.471971	−	0.544684i
$122$	−16.1795	−	6.47415i	−1.46482	−	0.586142i
$123$	9.03282	+	2.65228i	0.814462	+	0.239148i
$124$	−4.84533	+	9.40632i	−0.435123	+	0.844713i
$125$	−1.39271	+	9.68651i	−0.124568	+	0.866388i
$126$	−3.41932	−	4.80006i	−0.304617	−	0.427624i
$127$	4.36548	+	1.99365i	0.387373	+	0.176908i	0.599575	−	0.800318i	$-0.295336\pi$
$127$	4.36548	+	1.99365i	0.387373	+	0.176908i	−0.212202	+	0.977226i	$0.568063\pi$
$128$	−8.90133	−	6.98329i	−0.786774	−	0.617242i
$129$	1.54459	+	2.40342i	0.135993	+	0.211610i
$130$	−6.20052	−	6.50075i	−0.543821	−	0.570153i
$131$	−1.46769	−	10.2080i	−0.128233	−	0.891877i	−0.947794	−	0.318885i	$-0.896692\pi$
$131$	−1.46769	−	10.2080i	−0.128233	−	0.891877i	0.819561	−	0.572992i	$-0.194217\pi$
$132$	3.31305	+	1.14542i	0.288364	+	0.0996962i
$133$	−6.23005	+	9.69415i	−0.540214	+	0.840589i
$134$	8.70834	−	3.01561i	0.752286	−	0.260509i
$135$	−2.35169	+	0.690517i	−0.202401	+	0.0594303i
$136$	19.0232	−	8.69911i	1.63123	−	0.745942i
$137$		−	7.43164i		−	0.634928i	−0.948270	−	0.317464i	$-0.897169\pi$
$137$		−	7.43164i		−	0.634928i	0.948270	−	0.317464i	$-0.102831\pi$
$138$	−2.88562	−	6.13785i	−0.245640	−	0.522488i
$139$	12.9906			1.10185			0.550926	−	0.834554i	$-0.314275\pi$
$139$	12.9906			1.10185			0.550926	+	0.834554i	$0.314275\pi$
$140$	11.8437	−	16.6439i	1.00097	−	1.40666i
$141$	−2.36285	−	8.04714i	−0.198988	−	0.677692i
$142$	12.5206	−	4.33577i	1.05071	−	0.363849i
$143$	−3.82159	−	2.45598i	−0.319577	−	0.205380i
$144$	3.92721	−	0.759623i	0.327267	−	0.0633019i
$145$	−7.13318	+	1.02560i	−0.592379	+	0.0851712i
$146$	−3.58725	+	3.42158i	−0.296883	+	0.283172i
$147$	−8.72057	+	5.60437i	−0.719261	+	0.462241i
$148$	−6.01589	+	2.41072i	−0.494503	+	0.198160i
$149$	4.08264	−	8.93972i	0.334463	−	0.732371i	−0.665438	−	0.746453i	$-0.731755\pi$
$149$	4.08264	−	8.93972i	0.334463	−	0.732371i	0.999901	+	0.0140821i	$0.00448262\pi$
$150$	−0.826459	−	1.16019i	−0.0674801	−	0.0947291i
$151$	9.00549	+	1.29479i	0.732856	+	0.105369i	0.498632	−	0.866814i	$-0.333836\pi$
$151$	9.00549	+	1.29479i	0.732856	+	0.105369i	0.234224	+	0.972183i	$0.424745\pi$
$152$	−4.23177	−	6.57753i	−0.343242	−	0.533508i
$153$	−2.08358	+	7.09601i	−0.168447	+	0.573678i
$154$	3.83752	−	9.59030i	0.309236	−	0.772808i
$155$	9.79962	−	8.49142i	0.787125	−	0.682047i
$156$	−5.17780	−	0.244920i	−0.414556	−	0.0196093i
$157$	4.07459	−	4.70233i	0.325188	−	0.375287i	−0.569490	−	0.821998i	$-0.692859\pi$
$157$	4.07459	−	4.70233i	0.325188	−	0.375287i	0.894678	+	0.446711i	$0.147405\pi$
$158$	−2.42438	+	10.0007i	−0.192874	+	0.795615i
$159$	1.76697	+	3.86912i	0.140130	+	0.306841i
$160$	6.94239	+	12.0015i	0.548844	+	0.948799i
$161$	−18.4718	+	7.62979i	−1.45578	+	0.601311i
$162$	−0.706903	+	1.22486i	−0.0555395	+	0.0962343i
$163$	−7.28306	−	15.9477i	−0.570454	−	1.24912i	−0.946556	−	0.322541i	$-0.895463\pi$
$163$	−7.28306	−	15.9477i	−0.570454	−	1.24912i	0.376102	−	0.926578i	$-0.377264\pi$
$164$	13.6310	+	12.9885i	1.06440	+	1.01423i
$165$	−3.24662	−	2.81321i	−0.252749	−	0.219008i
$166$	−5.23328	−	10.1470i	−0.406181	−	0.787559i
$167$	−2.42544	+	2.10165i	−0.187686	+	0.162631i	−0.743635	−	0.668585i	$-0.766900\pi$
$167$	−2.42544	+	2.10165i	−0.187686	+	0.162631i	0.555950	+	0.831216i	$0.312355\pi$
$168$	−1.68327	−	11.6660i	−0.129867	−	0.900053i
$169$	−6.02811	−	1.77001i	−0.463701	−	0.136155i
$170$	−25.6053	+	1.22401i	−1.96383	+	0.0938770i
$171$	2.73708	+	0.393533i	0.209310	+	0.0300942i
$172$	0.545037	+	5.68786i	0.0415587	+	0.433695i
$173$	16.0981	+	7.35177i	1.22392	+	0.558944i	0.919310	−	0.393533i	$-0.128747\pi$
$173$	16.0981	+	7.35177i	1.22392	+	0.558944i	0.304607	+	0.952478i	$0.401475\pi$
$174$	−2.56988	+	3.26898i	−0.194822	+	0.247821i
$175$	−3.53112	+	2.26932i	−0.266928	+	0.171544i
$176$	4.84148	+	5.07083i	0.364940	+	0.382228i
$177$	0.900238	+	6.26129i	0.0676660	+	0.470627i
$178$	−3.67984	−	19.0757i	−0.275816	−	1.42979i
$179$	−16.6058	−	10.6719i	−1.24118	−	0.797655i	−0.255583	−	0.966787i	$-0.582267\pi$
$179$	−16.6058	−	10.6719i	−1.24118	−	0.797655i	−0.985593	+	0.169132i	$0.945904\pi$
$180$	−4.81366	−	0.926093i	−0.358789	−	0.0690269i
$181$	−9.24376	+	2.71421i	−0.687083	+	0.201746i	−0.606597	−	0.795010i	$-0.707466\pi$
$181$	−9.24376	+	2.71421i	−0.687083	+	0.201746i	−0.0804867	+	0.996756i	$0.525647\pi$
$182$	−1.44940	+	15.2056i	−0.107437	+	1.12711i
$183$	12.3225			0.910908
$184$	0.490846	−	13.5558i	0.0361856	−	0.999345i
$185$	7.94228			0.583928
$186$	0.709954	−	7.44809i	0.0520563	−	0.546120i
$187$	−12.4374	+	3.65196i	−0.909514	+	0.267057i
$188$	3.16896	−	16.4717i	0.231120	−	1.20132i
$189$	3.50573	+	2.25300i	0.255005	+	0.163881i
$190$	1.81550	+	9.41129i	0.131711	+	0.682767i
$191$	1.67752	+	11.6674i	0.121381	+	0.844223i	0.955994	+	0.293386i	$0.0947821\pi$
$191$	1.67752	+	11.6674i	0.121381	+	0.844223i	−0.834613	+	0.550836i	$0.814309\pi$
$192$	7.67819	+	2.24619i	0.554126	+	0.162104i
$193$	16.1385	−	10.3716i	1.16167	−	0.746563i	0.189745	−	0.981833i	$-0.439234\pi$
$193$	16.1385	−	10.3716i	1.16167	−	0.746563i	0.971930	+	0.235270i	$0.0755975\pi$
$194$	6.30853	−	8.02470i	0.452926	−	0.576140i
$195$	5.77835	+	2.63888i	0.413796	+	0.188974i
$196$	−20.6378	+	1.97761i	−1.47413	+	0.141258i
$197$	−4.09642	−	0.588977i	−0.291858	−	0.0419629i	−0.00516933	−	0.999987i	$-0.501645\pi$
$197$	−4.09642	−	0.588977i	−0.291858	−	0.0419629i	−0.286689	+	0.958024i	$0.592555\pi$
$198$	−2.47591	+	0.118356i	−0.175956	+	0.00841118i
$199$	−3.54644	−	1.04133i	−0.251401	−	0.0738179i	0.153604	−	0.988132i	$-0.450912\pi$
$199$	−3.54644	−	1.04133i	−0.251401	−	0.0738179i	−0.405005	+	0.914315i	$0.632730\pi$
$200$	−0.406852	−	2.81971i	−0.0287688	−	0.199384i
$201$	−4.92483	+	4.26739i	−0.347371	+	0.300998i
$202$	5.91367	+	11.4662i	0.416085	+	0.806761i
$203$	9.26017	+	8.02398i	0.649936	+	0.563173i
$204$	−10.2035	+	10.7083i	−0.714388	+	0.749729i
$205$	−9.58521	−	20.9887i	−0.669460	−	1.46591i
$206$	−6.26715	+	10.8592i	−0.436653	+	0.756597i
$207$	3.50679	+	3.27145i	0.243739	+	0.227382i
$208$	−8.98169	−	5.17760i	−0.622768	−	0.359002i
$209$	2.01340	+	4.40872i	0.139269	+	0.304958i
$210$	−3.40310	+	14.0380i	−0.234836	+	0.968712i
$211$	1.89851	−	2.19099i	0.130699	−	0.150834i	−0.686628	−	0.727009i	$-0.740910\pi$
$211$	1.89851	−	2.19099i	0.130699	−	0.150834i	0.817326	+	0.576175i	$0.195455\pi$
$212$	−0.401947	+	8.49749i	−0.0276058	+	0.583610i
$213$	−7.08079	+	6.13554i	−0.485168	+	0.420400i
$214$	−9.87353	+	24.6748i	−0.674940	+	1.68673i
$215$	1.97278	−	6.71866i	0.134542	−	0.458209i
$216$	−2.37866	+	1.53035i	−0.161847	+	0.104127i
$217$	−21.8224	−	3.13759i	−1.48140	−	0.212993i
$218$	15.7136	+	22.0588i	1.06426	+	1.49401i
$219$	1.45619	−	3.18862i	0.0984003	−	0.215467i
$220$	−3.19590	−	7.97528i	−0.215468	−	0.537693i
$221$	16.1250	−	10.3629i	1.08469	−	0.697085i
$222$	3.31614	−	3.16299i	0.222565	−	0.212286i
$223$	12.1266	−	1.74355i	0.812060	−	0.116757i	0.276240	−	0.961089i	$-0.410912\pi$
$223$	12.1266	−	1.74355i	0.812060	−	0.116757i	0.535820	+	0.844332i	$0.320002\pi$
$224$	7.69162	−	22.2835i	0.513918	−	1.48888i
$225$	0.847346	+	0.544557i	0.0564898	+	0.0363038i
$226$	14.6131	−	5.06035i	0.972046	−	0.336610i
$227$	3.97730	+	13.5454i	0.263983	+	0.899042i	0.979669	+	0.200620i	$0.0642958\pi$
$227$	3.97730	+	13.5454i	0.263983	+	0.899042i	−0.715686	+	0.698422i	$0.753886\pi$
$228$	4.50604	+	3.20648i	0.298420	+	0.212354i
$229$	17.4055			1.15019			0.575093	−	0.818088i	$-0.304966\pi$
$229$	17.4055			1.15019			0.575093	+	0.818088i	$0.304966\pi$
$230$	−6.73770	+	15.1966i	−0.444271	+	1.00203i
$231$			7.30412i			0.480576i
$232$	−7.56311	+	3.45853i	−0.496543	+	0.227063i
$233$	0.194296	−	0.0570504i	0.0127287	−	0.00373749i	−0.275362	−	0.961341i	$-0.588798\pi$
$233$	0.194296	−	0.0570504i	0.0127287	−	0.00373749i	0.288091	+	0.957603i	$0.406980\pi$
$234$	3.46356	−	1.19940i	0.226420	−	0.0784070i
$235$	−11.1134	+	17.2928i	−0.724957	+	1.12806i
$236$	−4.13387	+	11.9569i	−0.269092	+	0.778329i
$237$	−1.03554	−	7.20234i	−0.0672656	−	0.467842i
$238$	30.0825	+	31.5391i	1.94996	+	2.04438i
$239$	11.4909	+	17.8803i	0.743288	+	1.15658i	0.982618	+	0.185640i	$0.0594358\pi$
$239$	11.4909	+	17.8803i	0.743288	+	1.15658i	−0.239330	+	0.970938i	$0.576928\pi$
$240$	−7.71040	−	6.05521i	−0.497704	−	0.390862i
$241$	13.8026	+	6.30346i	0.889107	+	0.406041i	0.806979	−	0.590580i	$-0.201101\pi$
$241$	13.8026	+	6.30346i	0.889107	+	0.406041i	0.0821280	+	0.996622i	$0.473828\pi$
$242$	6.50499	+	9.13176i	0.418157	+	0.587012i
$243$	0.142315	−	0.989821i	0.00912950	−	0.0634971i
$244$	21.9092	+	11.2857i	1.40259	+	0.722494i
$245$	24.3780	+	7.15802i	1.55745	+	0.457309i
$246$	−12.3608	−	4.94612i	−0.788094	−	0.315353i
$247$	−4.69332	−	5.41638i	−0.298629	−	0.344636i
$248$	8.08369	−	12.5923i	0.513315	−	0.799612i
$249$	6.10121	+	5.28673i	0.386649	+	0.335033i
$250$	3.26058	−	13.4501i	0.206217	−	0.850658i
$251$	22.2187	−	10.1469i	1.40243	−	0.640468i	0.436603	−	0.899654i	$-0.356182\pi$
$251$	22.2187	−	10.1469i	1.40243	−	0.640468i	0.965827	+	0.259186i	$0.0834543\pi$
$252$	4.16968	+	7.21654i	0.262665	+	0.454599i
$253$	−1.50070	+	8.27077i	−0.0943481	+	0.519979i
$254$	−5.87832	−	3.39255i	−0.368839	−	0.212867i
$255$	16.4883	−	7.52995i	1.03254	−	0.471544i
$256$	11.5945	+	11.0258i	0.724653	+	0.689114i
$257$	−14.3756	+	16.5903i	−0.896726	+	1.03488i	0.102468	+	0.994736i	$0.467326\pi$
$257$	−14.3756	+	16.5903i	−0.896726	+	1.03488i	−0.999194	+	0.0401403i	$0.987220\pi$
$258$	−1.85199	−	3.59089i	−0.115300	−	0.223559i
$259$	−8.84318	−	10.2056i	−0.549488	−	0.634143i
$260$	7.85692	+	9.98404i	0.487266	+	0.619184i
$261$	0.828373	−	2.82118i	0.0512750	−	0.174627i
$262$	0.696397	+	14.5681i	0.0430236	+	0.900020i
$263$	1.94856	−	13.5525i	0.120153	−	0.835685i	−0.837227	−	0.546856i	$-0.815825\pi$
$263$	1.94856	−	13.5525i	0.120153	−	0.835685i	0.957380	−	0.288830i	$-0.0932662\pi$
$264$	−4.51051	−	2.05716i	−0.277603	−	0.126609i
$265$	4.33078	−	9.48308i	0.266037	−	0.582541i
$266$	10.0718	−	12.8117i	0.617540	−	0.785535i
$267$	7.42692	+	11.5565i	0.454520	+	0.707247i
$268$	−12.6646	+	3.07686i	−0.773611	+	0.187949i
$269$	2.43866	−	0.350626i	0.148687	−	0.0213780i	−0.0675691	−	0.997715i	$-0.521524\pi$
$269$	2.43866	−	0.350626i	0.148687	−	0.0213780i	0.216257	+	0.976337i	$0.430615\pi$
$270$	3.40344	−	0.656548i	0.207127	−	0.0399563i
$271$	−12.0605	+	18.7666i	−0.732626	+	1.13999i	0.252407	+	0.967621i	$0.418778\pi$
$271$	−12.0605	+	18.7666i	−0.732626	+	1.13999i	−0.985033	+	0.172367i	$0.944859\pi$
$272$	−27.9489	+	9.69406i	−1.69465	+	0.587789i
$273$	−3.04291	−	10.3632i	−0.184165	−	0.627210i
$274$	−0.997288	+	10.4625i	−0.0602484	+	0.632063i
$275$			1.76543i			0.106459i
$276$	3.23880	+	9.02830i	0.194953	+	0.543440i
$277$			23.9213i			1.43729i	0.695376	+	0.718646i	$0.255238\pi$
$277$			23.9213i			1.43729i	−0.695376	+	0.718646i	$0.744762\pi$
$278$	−18.2886	−	1.74328i	−1.09688	−	0.104555i
$279$	1.49050	+	5.07616i	0.0892337	+	0.303902i
$280$	−18.9074	+	21.8424i	−1.12994	+	1.30533i
$281$	−8.80363	+	13.6987i	−0.525181	+	0.817197i	−0.997951	−	0.0639888i	$-0.979618\pi$
$281$	−8.80363	+	13.6987i	−0.525181	+	0.817197i	0.472770	+	0.881186i	$0.343254\pi$
$282$	2.24662	+	11.6461i	0.133784	+	0.693516i
$283$	−11.1006	+	1.59602i	−0.659860	+	0.0948736i	−0.464106	−	0.885779i	$-0.653624\pi$
$283$	−11.1006	+	1.59602i	−0.659860	+	0.0948736i	−0.195754	+	0.980653i	$0.562715\pi$
$284$	−18.2088	+	4.42383i	−1.08049	+	0.262506i
$285$	−3.66418	−	5.70158i	−0.217047	−	0.337732i
$286$	5.05057	+	3.97045i	0.298647	+	0.234778i
$287$	−16.2973	+	35.6861i	−0.962000	+	2.10649i
$288$	−5.63079	+	0.542410i	−0.331797	+	0.0319618i
$289$	5.36451	−	37.3110i	0.315559	−	2.19476i
$290$	10.1800	−	0.486631i	0.597788	−	0.0285760i
$291$	−2.03349	+	6.92543i	−0.119205	+	0.405976i
$292$	5.50940	−	4.33561i	0.322413	−	0.253723i
$293$	11.5054	+	13.2779i	0.672150	+	0.775702i	0.984711	−	0.174195i	$-0.0557324\pi$
$293$	11.5054	+	13.2779i	0.672150	+	0.775702i	−0.312561	+	0.949898i	$0.601187\pi$
$294$	13.0292	−	6.71976i	0.759877	−	0.391904i
$295$	10.1530	−	11.7172i	0.591129	−	0.682200i
$296$	8.79287	−	2.58659i	0.511075	−	0.150343i
$297$	1.59434	−	0.728112i	0.0925132	−	0.0422494i
$298$	−6.94733	+	12.0378i	−0.402448	+	0.697329i
$299$	−1.31641	−	12.3599i	−0.0761298	−	0.714792i
$300$	1.00782	+	1.74426i	0.0581867	+	0.100705i
$301$	−10.8298	+	4.94581i	−0.624220	+	0.285072i
$302$	−12.5045	−	3.03134i	−0.719551	−	0.174434i
$303$	−6.89445	−	5.97408i	−0.396076	−	0.343202i
$304$	5.07495	+	9.82795i	0.291068	+	0.563671i
$305$	−19.7782	−	22.8252i	−1.13250	−	1.30697i
$306$	3.88558	−	9.71039i	0.222124	−	0.555106i
$307$	−15.7982	−	4.63876i	−0.901648	−	0.264748i	−0.202127	−	0.979359i	$-0.564785\pi$
$307$	−15.7982	−	4.63876i	−0.901648	−	0.264748i	−0.699522	+	0.714612i	$0.746603\pi$
$308$	−6.68956	+	12.9866i	−0.381173	+	0.739978i
$309$	1.26171	−	8.77541i	0.0717764	−	0.499216i
$310$	−14.9357	+	10.6394i	−0.848292	+	0.604279i
$311$	−8.47947	−	3.87244i	−0.480827	−	0.219586i	0.160230	−	0.987080i	$-0.448776\pi$
$311$	−8.47947	−	3.87244i	−0.480827	−	0.219586i	−0.641057	+	0.767494i	$0.721504\pi$
$312$	7.25661	+	1.03964i	0.410824	+	0.0588580i
$313$	−18.1744	−	28.2799i	−1.02728	−	1.59847i	−0.776182	−	0.630509i	$-0.782846\pi$
$313$	−18.1744	−	28.2799i	−1.02728	−	1.59847i	−0.251094	−	0.967963i	$-0.580790\pi$
$314$	−6.36737	+	6.07330i	−0.359331	+	0.342736i
$315$	−1.45358	−	10.1099i	−0.0819001	−	0.569628i
$316$	4.75517	−	13.7540i	0.267499	−	0.773723i
$317$	1.25139	−	1.94719i	0.0702848	−	0.109365i	−0.804332	−	0.594180i	$-0.797477\pi$
$317$	1.25139	−	1.94719i	0.0702848	−	0.109365i	0.874617	+	0.484815i	$0.161113\pi$
$318$	−1.96838	−	5.68418i	−0.110381	−	0.318753i
$319$	4.94478	−	1.45192i	0.276855	−	0.0812918i
$320$	−8.16318	−	17.8277i	−0.456336	−	0.996597i
$321$		−	18.7927i		−	1.04891i
$322$	27.0291	−	8.26263i	1.50627	−	0.460459i
$323$	−20.4505			−1.13789
$324$	1.15957	−	1.62954i	0.0644206	−	0.0905299i
$325$	−0.735482	−	2.50482i	−0.0407972	−	0.138942i
$326$	8.11323	+	23.4290i	0.449350	+	1.29761i
$327$	−16.1107	−	10.3537i	−0.890924	−	0.572562i
$328$	−17.4472	−	20.1148i	−0.963361	−	1.11066i
$329$	34.5946	−	4.97396i	1.90726	−	0.274223i
$330$	4.19318	+	4.39621i	0.230827	+	0.242004i
$331$	−25.4043	+	16.3264i	−1.39635	+	0.897378i	−0.999787	−	0.0206310i	$-0.993432\pi$
$331$	−25.4043	+	16.3264i	−1.39635	+	0.897378i	−0.396560	+	0.918009i	$0.629796\pi$
$332$	6.00590	+	14.9875i	0.329617	+	0.822548i
$333$	−1.34614	+	2.94763i	−0.0737679	+	0.161529i
$334$	3.69664	−	2.63329i	0.202271	−	0.144087i
$335$	15.8091	+	2.27301i	0.863744	+	0.124188i
$336$	0.804245	+	16.6497i	0.0438752	+	0.908314i
$337$	−3.45816	+	11.7774i	−0.188378	+	0.641557i	0.810094	+	0.586300i	$0.199416\pi$
$337$	−3.45816	+	11.7774i	−0.188378	+	0.641557i	−0.998472	+	0.0552569i	$0.982402\pi$
$338$	8.24904	+	3.30082i	0.448689	+	0.179541i
$339$	−8.26412	+	7.16090i	−0.448846	+	0.388927i
$340$	36.2122	+	1.71290i	1.96388	+	0.0928952i
$341$	−6.07238	+	7.00790i	−0.328838	+	0.379499i
$342$	−3.80054	−	0.921331i	−0.205510	−	0.0498199i
$343$	−5.82732	−	12.7601i	−0.314646	−	0.688979i
$344$	−0.00403947	−	8.08069i	−0.000217794	−	0.435681i
$345$	0.431213	−	11.7465i	0.0232157	−	0.632411i
$346$	−21.6769	−	12.5103i	−1.16536	−	0.672560i
$347$	−2.18229	−	4.77855i	−0.117152	−	0.256526i	0.841968	−	0.539528i	$-0.181397\pi$
$347$	−2.18229	−	4.77855i	−0.117152	−	0.256526i	−0.959119	+	0.283001i	$0.908670\pi$
$348$	4.05664	−	4.25732i	0.217458	−	0.228216i
$349$	−7.69356	−	6.66651i	−0.411827	−	0.356850i	0.424171	−	0.905582i	$-0.360565\pi$
$349$	−7.69356	−	6.66651i	−0.411827	−	0.356850i	−0.835998	+	0.548732i	$0.815111\pi$
$350$	5.27576	−	2.72096i	0.282001	−	0.145441i
$351$	−1.95875	+	1.69726i	−0.104550	+	0.0905933i
$352$	−6.13551	−	7.78858i	−0.327024	−	0.415133i
$353$	25.2015	+	7.39982i	1.34134	+	0.393853i	0.872147	−	0.489244i	$-0.162727\pi$
$353$	25.2015	+	7.39982i	1.34134	+	0.393853i	0.469192	+	0.883096i	$0.344545\pi$
$354$	−0.427150	−	8.93565i	−0.0227028	−	0.474925i
$355$	22.7299	+	3.26807i	1.20638	+	0.173451i
$356$	2.62073	+	27.3492i	0.138899	+	1.44951i
$357$	−28.0343	−	12.8028i	−1.48373	−	0.677599i
$358$	21.9461	+	17.2527i	1.15989	+	0.911832i
$359$	4.90690	−	3.15348i	0.258976	−	0.166434i	−0.404710	−	0.914445i	$-0.632627\pi$
$359$	4.90690	−	3.15348i	0.258976	−	0.166434i	0.663686	+	0.748011i	$0.268991\pi$
$360$	6.65255	+	1.94975i	0.350620	+	0.102761i
$361$	−1.61577	−	11.2380i	−0.0850408	−	0.591472i
$362$	13.3779	−	2.58069i	0.703127	−	0.135638i
$363$	−6.66939	−	4.28616i	−0.350052	−	0.224965i
$364$	4.08103	−	21.2124i	0.213904	−	1.11183i
$365$	−8.24358	+	2.42053i	−0.431489	+	0.126696i
$366$	−17.3481	−	1.65362i	−0.906797	−	0.0864362i
$367$	29.1981			1.52413			0.762063	−	0.647502i	$-0.224186\pi$
$367$	29.1981			1.52413			0.762063	+	0.647502i	$0.224186\pi$
$368$	−2.51015	+	19.0184i	−0.130850	+	0.991402i
$369$	9.41416			0.490082
$370$	−11.1814	−	1.06581i	−0.581293	−	0.0554090i
$371$	−17.0075	+	4.99384i	−0.882984	+	0.259267i
$372$	−1.99899	+	10.3904i	−0.103643	+	0.538716i
$373$	12.7053	+	8.16522i	0.657857	+	0.422779i	0.826530	−	0.562893i	$-0.190312\pi$
$373$	12.7053	+	8.16522i	0.657857	+	0.422779i	−0.168673	+	0.985672i	$0.553948\pi$
$374$	17.9999	−	3.47230i	0.930751	−	0.179549i
$375$	1.39271	+	9.68651i	0.0719192	+	0.500209i
$376$	−6.67178	+	22.7641i	−0.344071	+	1.17397i
$377$	−6.41086	+	4.12001i	−0.330176	+	0.212191i
$378$	−4.63314	−	3.64229i	−0.238303	−	0.187339i
$379$	21.7201	+	9.91923i	1.11569	+	0.509516i	0.885971	−	0.463742i	$-0.153493\pi$
$379$	21.7201	+	9.91923i	1.11569	+	0.509516i	0.229715	+	0.973258i	$0.426221\pi$
$380$	−1.29298	−	13.4932i	−0.0663284	−	0.692184i
$381$	4.75032	+	0.682993i	0.243366	+	0.0349908i
$382$	−0.795958	−	16.6508i	−0.0407248	−	0.851931i
$383$	13.2116	+	3.87928i	0.675082	+	0.198222i	0.601265	−	0.799050i	$-0.294664\pi$
$383$	13.2116	+	3.87928i	0.675082	+	0.198222i	0.0738174	+	0.997272i	$0.476482\pi$
$384$	−10.5082	−	4.19263i	−0.536243	−	0.213954i
$385$	13.5296	−	11.7234i	0.689530	−	0.597481i
$386$	−24.1121	+	12.4357i	−1.22727	+	0.632963i
$387$	2.15914	+	1.87091i	0.109755	+	0.0951036i
$388$	−9.95823	+	10.4509i	−0.505553	+	0.530562i
$389$	−0.380821	−	0.833882i	−0.0193084	−	0.0422795i	0.899732	−	0.436443i	$-0.143762\pi$
$389$	−0.380821	−	0.833882i	−0.0193084	−	0.0422795i	−0.919041	+	0.394163i	$0.871035\pi$
$390$	−7.78082	−	4.49053i	−0.393997	−	0.227387i
$391$	−29.1140	−	20.2571i	−1.47236	−	1.02445i
$392$	29.3199	−	0.0146568i	1.48088	−	0.000740281i
$393$	−4.28416	−	9.38100i	−0.216107	−	0.473209i
$394$	5.68804	+	1.37890i	0.286559	+	0.0694680i
$395$	−11.6789	+	13.4782i	−0.587631	+	0.678162i
$396$	3.50155	+	0.165630i	0.175960	+	0.00832322i
$397$	−11.4758	+	9.94383i	−0.575953	+	0.499066i	−0.893432	−	0.449199i	$-0.851709\pi$
$397$	−11.4758	+	9.94383i	−0.575953	+	0.499066i	0.317478	+	0.948266i	$0.397164\pi$
$398$	4.85306	+	1.94193i	0.243262	+	0.0973403i
$399$	−3.24653	+	11.0567i	−0.162530	+	0.553526i
$400$	0.194388	+	4.02428i	0.00971942	+	0.201214i
$401$	12.3384	+	1.77400i	0.616152	+	0.0885893i	0.443322	−	0.896362i	$-0.353800\pi$
$401$	12.3384	+	1.77400i	0.616152	+	0.0885893i	0.172830	+	0.984952i	$0.444709\pi$
$402$	7.50600	−	5.34688i	0.374365	−	0.266678i
$403$	5.69609	−	12.4727i	0.283742	−	0.621309i
$404$	−6.78675	−	16.9361i	−0.337653	−	0.842603i
$405$	−2.06189	+	1.32509i	−0.102456	+	0.0658444i
$406$	−11.9600	−	12.5391i	−0.593564	−	0.622304i
$407$	−5.62187	+	0.808302i	−0.278666	+	0.0400661i
$408$	15.8018	−	13.7062i	0.782307	−	0.678558i
$409$	19.3965	+	12.4654i	0.959096	+	0.616374i	0.923748	−	0.383001i	$-0.125110\pi$
$409$	19.3965	+	12.4654i	0.959096	+	0.616374i	0.0353484	+	0.999375i	$0.488746\pi$
$410$	10.6778	+	30.8348i	0.527338	+	1.52282i
$411$	−2.09373	−	7.13060i	−0.103276	−	0.351727i
$412$	10.2803	−	14.4469i	0.506476	−	0.711749i
$413$	−26.3608			−1.29713
$414$	−4.49797	−	5.07625i	−0.221063	−	0.249484i
$415$		−	19.7868i		−	0.971296i
$416$	11.9499	+	8.49450i	0.585893	+	0.416477i
$417$	12.4644	−	3.65989i	0.610386	−	0.179225i
$418$	−2.24289	−	6.47693i	−0.109704	−	0.316797i
$419$	10.3140	−	16.0489i	0.503872	−	0.784040i	−0.492395	−	0.870372i	$-0.663878\pi$
$419$	10.3140	−	16.0489i	0.503872	−	0.784040i	0.996266	+	0.0863325i	$0.0275147\pi$
$420$	6.67481	−	19.3064i	0.325698	−	0.942057i
$421$	−1.23370	−	8.58059i	−0.0601270	−	0.418192i	−0.997547	−	0.0699930i	$-0.977702\pi$
$421$	−1.23370	−	8.58059i	−0.0601270	−	0.418192i	0.937421	−	0.348199i	$-0.113207\pi$
$422$	−2.96680	+	2.82978i	−0.144421	+	0.137752i
$423$	−4.53428	−	7.05548i	−0.220464	−	0.343049i
$424$	1.70619	−	11.9091i	0.0828601	−	0.578357i
$425$	−6.77598	−	3.09449i	−0.328683	−	0.150105i
$426$	10.7919	−	7.68761i	0.522870	−	0.372466i
$427$	−7.30806	+	50.8287i	−0.353662	+	2.45977i
$428$	17.2115	−	33.4130i	0.831949	−	1.61508i
$429$	−4.35872	−	1.27983i	−0.210441	−	0.0617910i
$430$	−3.67895	+	9.19401i	−0.177415	+	0.443375i
$431$	22.6264	+	26.1123i	1.08988	+	1.25779i	0.964046	+	0.265734i	$0.0856142\pi$
$431$	22.6264	+	26.1123i	1.08988	+	1.25779i	0.125831	+	0.992052i	$0.459840\pi$
$432$	3.55412	−	1.83528i	0.170998	−	0.0882997i
$433$	22.9762	+	19.9090i	1.10416	+	0.956763i	0.999288	−	0.0377222i	$-0.0120102\pi$
$433$	22.9762	+	19.9090i	1.10416	+	0.956763i	0.104875	+	0.994485i	$0.466556\pi$
$434$	30.3012	+	7.34565i	1.45451	+	0.352603i
$435$	−6.55530	+	2.99370i	−0.314302	+	0.143537i
$436$	−19.1619	−	33.1638i	−0.917687	−	1.58826i
$437$	−5.94788	+	11.8529i	−0.284526	+	0.567002i
$438$	−2.47797	+	4.29362i	−0.118402	+	0.205157i
$439$	14.6376	−	6.68477i	0.698615	−	0.319047i	−0.0342573	−	0.999413i	$-0.510907\pi$
$439$	14.6376	−	6.68477i	0.698615	−	0.319047i	0.732872	+	0.680366i	$0.238179\pi$
$440$	3.42905	+	11.6567i	0.163474	+	0.555713i
$441$	−6.78839	+	7.83422i	−0.323257	+	0.373058i
$442$	−24.0920	+	12.4253i	−1.14594	+	0.591014i
$443$	−22.5518	−	26.0262i	−1.07147	−	1.23654i	−0.970360	−	0.241664i	$-0.922307\pi$
$443$	−22.5518	−	26.0262i	−1.07147	−	1.23654i	−0.101108	−	0.994875i	$-0.532239\pi$
$444$	−5.09302	+	4.00794i	−0.241704	+	0.190209i
$445$	9.48581	−	32.3057i	0.449671	−	1.53144i
$446$	−17.3063	+	0.827289i	−0.819475	+	0.0391733i
$447$	1.39865	−	9.72781i	0.0661538	−	0.460110i
$448$	−13.8189	+	30.3393i	−0.652880	+	1.43340i
$449$	3.16125	−	6.92217i	0.149189	−	0.326678i	−0.820252	−	0.572002i	$-0.806167\pi$
$449$	3.16125	−	6.92217i	0.149189	−	0.326678i	0.969441	+	0.245324i	$0.0788944\pi$
$450$	−1.11984	−	0.880354i	−0.0527900	−	0.0415003i
$451$	8.92086	+	13.8811i	0.420067	+	0.653637i
$452$	−21.2518	+	5.16313i	−0.999601	+	0.242853i
$453$	9.00549	−	1.29479i	0.423115	−	0.0608347i
$454$	−3.78164	−	19.6034i	−0.177481	−	0.920035i
$455$	−14.3120	+	22.2698i	−0.670955	+	1.04403i
$456$	−5.91346	−	5.11887i	−0.276923	−	0.239713i
$457$	8.64373	+	29.4378i	0.404337	+	1.37704i	0.870423	+	0.492305i	$0.163846\pi$
$457$	8.64373	+	29.4378i	0.404337	+	1.37704i	−0.466086	+	0.884739i	$0.654336\pi$
$458$	−24.5040	−	2.33573i	−1.14500	−	0.109141i
$459$			7.39558i			0.345196i
$460$	11.5249	−	20.4901i	0.537349	−	0.955356i
$461$		−	13.6062i		−	0.633705i	−0.948475	−	0.316852i	$-0.897374\pi$
$461$		−	13.6062i		−	0.633705i	0.948475	−	0.316852i	$-0.102626\pi$
$462$	0.980176	−	10.2830i	0.0456019	−	0.478408i
$463$	5.92736	+	20.1867i	0.275468	+	0.938157i	0.974748	+	0.223309i	$0.0716859\pi$
$463$	5.92736	+	20.1867i	0.275468	+	0.938157i	−0.699280	+	0.714848i	$0.746496\pi$
$464$	11.1117	−	3.85410i	0.515848	−	0.178922i
$465$	7.01036	−	10.9083i	0.325098	−	0.505862i
$466$	−0.281192	+	0.0542438i	−0.0130259	+	0.00251280i
$467$	24.3753	−	3.50463i	1.12795	−	0.162175i	0.447022	−	0.894523i	$-0.352485\pi$
$467$	24.3753	−	3.50463i	1.12795	−	0.162175i	0.680931	+	0.732348i	$0.261576\pi$
$468$	−5.03706	+	1.22376i	−0.232838	+	0.0565682i
$469$	−14.6816	−	22.8450i	−0.677934	−	1.05489i
$470$	17.9664	−	22.8540i	0.828727	−	1.05417i
$471$	2.58474	−	5.65980i	0.119099	−	0.260790i
$472$	7.42435	−	16.2786i	0.341733	−	0.749283i
$473$	−0.712639	+	4.95651i	−0.0327672	+	0.227901i
$474$	0.491349	+	10.2787i	0.0225684	+	0.472114i
$475$	−0.784697	+	2.67243i	−0.0360044	+	0.122620i
$476$	−38.1187	−	48.4387i	−1.74717	−	2.22018i
$477$	2.78545	+	3.21458i	0.127537	+	0.147185i
$478$	−13.7779	−	26.7144i	−0.630186	−	1.22189i
$479$	22.6209	−	26.1059i	1.03357	−	1.19281i	0.0526114	−	0.998615i	$-0.483246\pi$
$479$	22.6209	−	26.1059i	1.03357	−	1.19281i	0.980963	−	0.194194i	$-0.0622090\pi$
$480$	10.0424	+	9.55942i	0.458369	+	0.436326i
$481$	7.63966	−	3.48891i	0.348338	−	0.159081i
$482$	−18.5859	−	10.7265i	−0.846566	−	0.488577i
$483$	−15.5740	+	12.5248i	−0.708643	+	0.569900i
$484$	−7.93250	−	13.7289i	−0.360568	−	0.624042i
$485$	16.0919	−	7.34894i	0.730698	−	0.333698i
$486$	−0.333184	+	1.37440i	−0.0151136	+	0.0623443i
$487$	14.6126	+	12.6618i	0.662158	+	0.573763i	0.919757	−	0.392489i	$-0.128386\pi$
$487$	14.6126	+	12.6618i	0.662158	+	0.573763i	−0.257599	+	0.966252i	$0.582931\pi$
$488$	−29.3299	−	18.8285i	−1.32770	−	0.852326i
$489$	−11.4810	−	13.2498i	−0.519190	−	0.599177i
$490$	−33.3595	−	13.3487i	−1.50703	−	0.603032i
$491$	33.1187	+	9.72454i	1.49463	+	0.438862i	0.924015	−	0.382357i	$-0.124888\pi$
$491$	33.1187	+	9.72454i	1.49463	+	0.438862i	0.570613	+	0.821219i	$0.306706\pi$
$492$	16.7382	+	8.62206i	0.754614	+	0.388713i
$493$	−3.09465	+	21.5238i	−0.139376	+	0.969382i
$494$	5.88056	+	8.25518i	0.264579	+	0.371418i
$495$	−3.90768	−	1.78458i	−0.175637	−	0.0802109i
$496$	−13.0703	+	16.6431i	−0.586874	+	0.747295i
$497$	−21.1089	−	32.8460i	−0.946862	−	1.47335i
$498$	−7.88003	−	8.26158i	−0.353113	−	0.370210i
$499$	0.925653	+	6.43806i	0.0414379	+	0.288207i	0.999995	+	0.00330491i	$0.00105199\pi$
$499$	0.925653	+	6.43806i	0.0414379	+	0.288207i	−0.958557	+	0.284902i	$0.908039\pi$
$500$	−6.39529	+	18.4979i	−0.286006	+	0.827252i
$501$	−1.73508	+	2.69984i	−0.0775178	+	0.120620i
$502$	−32.6418	+	11.3035i	−1.45688	+	0.504502i
$503$	10.5237	−	3.09004i	0.469229	−	0.137778i	−0.0385659	−	0.999256i	$-0.512279\pi$
$503$	10.5237	−	3.09004i	0.469229	−	0.137778i	0.507795	+	0.861478i	$0.330461\pi$
$504$	−4.90178	−	10.7192i	−0.218343	−	0.477472i
$505$			22.3594i			0.994978i
$506$	3.22263	−	11.4425i	0.143263	−	0.508680i
$507$	−6.28260			−0.279020
$508$	7.82043	+	5.56498i	0.346975	+	0.246906i
$509$	4.17499	+	14.2187i	0.185053	+	0.630233i	0.998798	+	0.0490111i	$0.0156070\pi$
$509$	4.17499	+	14.2187i	0.185053	+	0.630233i	−0.813745	+	0.581222i	$0.802575\pi$
$510$	−24.2232	+	8.38826i	−1.07262	+	0.371439i
$511$	12.2890	+	7.89764i	0.543632	+	0.349371i
$512$	−14.8434	−	17.0784i	−0.655993	−	0.754767i
$513$	2.73708	−	0.393533i	0.120845	−	0.0173749i
$514$	22.4648	−	21.4273i	0.990879	−	0.945116i
$515$	−18.2800	+	11.7478i	−0.805511	+	0.517670i
$516$	2.12541	+	5.30390i	0.0935661	+	0.233491i
$517$	6.10658	−	13.3716i	0.268567	−	0.588080i
$518$	11.0802	+	15.5544i	0.486835	+	0.683423i
$519$	17.5173	+	2.51860i	0.768923	+	0.110554i
$520$	−9.72142	−	15.1102i	−0.426312	−	0.662627i
$521$	0.777415	−	2.64763i	0.0340592	−	0.115995i	−0.940709	−	0.339215i	$-0.889839\pi$
$521$	0.777415	−	2.64763i	0.0340592	−	0.115995i	0.974768	+	0.223220i	$0.0716568\pi$
$522$	−1.54480	+	3.86058i	−0.0676140	+	0.168973i
$523$	−11.0273	+	9.55517i	−0.482188	+	0.417818i	−0.861739	−	0.507353i	$-0.830624\pi$
$523$	−11.0273	+	9.55517i	−0.482188	+	0.417818i	0.379550	+	0.925171i	$0.376079\pi$
$524$	0.974555	−	20.6029i	0.0425736	−	0.900042i
$525$	−2.74875	+	3.17222i	−0.119965	+	0.138447i
$526$	−4.56193	+	18.8182i	−0.198910	+	0.820513i
$527$	−16.2536	−	35.5903i	−0.708016	−	1.55034i
$528$	6.07399	+	3.50142i	0.264336	+	0.152380i
$529$	−20.2085	+	10.9826i	−0.878630	+	0.477504i
$530$	−7.36959	+	12.7694i	−0.320114	+	0.554668i
$531$	2.62778	+	5.75404i	0.114036	+	0.249704i
$532$	−15.8986	+	16.6851i	−0.689293	+	0.723392i
$533$	−18.4400	−	15.9783i	−0.798724	−	0.692098i
$534$	−8.90503	−	17.2663i	−0.385358	−	0.747185i
$535$	−34.8101	+	30.1631i	−1.50497	+	1.30406i
$536$	18.2425	−	2.63218i	0.787955	−	0.113693i
$537$	−18.9398	−	5.56122i	−0.817312	−	0.239984i
$538$	−3.48027	+	0.166367i	−0.150045	+	0.00717259i
$539$	−17.9842	−	2.58574i	−0.774634	−	0.111376i
$540$	−4.87958	+	0.467585i	−0.209984	+	0.0201216i
$541$	−32.3004	−	14.7511i	−1.38870	−	0.634199i	−0.425990	−	0.904728i	$-0.640074\pi$
$541$	−32.3004	−	14.7511i	−1.38870	−	0.634199i	−0.962712	+	0.270529i	$0.912801\pi$
$542$	19.4976	−	24.8017i	0.837494	−	1.06533i
$543$	−8.10464	+	5.20854i	−0.347803	+	0.223520i
$544$	40.6482	−	9.89702i	1.74278	−	0.424331i
$545$	6.67998	+	46.4603i	0.286139	+	1.99014i
$546$	2.89322	+	14.9980i	0.123818	+	0.641855i
$547$	22.8734	+	14.6998i	0.977996	+	0.628520i	0.928922	−	0.370275i	$-0.120737\pi$
$547$	22.8734	+	14.6998i	0.977996	+	0.628520i	0.0490737	+	0.998795i	$0.484373\pi$
$548$	2.80803	−	14.5956i	0.119953	−	0.623494i
$549$	11.8234	−	3.47166i	0.504610	−	0.148167i
$550$	0.236912	−	2.48543i	0.0101019	−	0.105979i
$551$	8.13055			0.346373
$552$	−3.34814	−	13.1450i	−0.142506	−	0.559487i
$553$	30.3228			1.28945
$554$	3.21012	−	33.6772i	0.136385	−	1.43081i
$555$	7.62056	−	2.23760i	0.323475	−	0.0949808i
$556$	25.5134	+	4.90849i	1.08201	+	0.208166i
$557$	−27.0174	−	17.3631i	−1.14477	−	0.735696i	−0.176176	−	0.984359i	$-0.556373\pi$
$557$	−27.0174	−	17.3631i	−1.14477	−	0.735696i	−0.968590	+	0.248662i	$0.920009\pi$
$558$	−1.41717	−	7.34640i	−0.0599937	−	0.310998i
$559$	−1.05379	−	7.32927i	−0.0445706	−	0.309995i
$560$	29.5496	−	28.2132i	1.24870	−	1.19222i
$561$	−10.9047	+	7.00805i	−0.460399	+	0.295880i
$562$	14.2323	−	18.1041i	0.600355	−	0.763675i
$563$	21.0878	+	9.63047i	0.888744	+	0.405876i	0.806844	−	0.590765i	$-0.201174\pi$
$563$	21.0878	+	9.63047i	0.888744	+	0.405876i	0.0819001	+	0.996641i	$0.473901\pi$
$564$	−1.60001	−	16.6973i	−0.0673726	−	0.703081i
$565$	26.5285	+	3.81423i	1.11606	+	0.160466i
$566$	15.8419	−	0.757289i	0.665885	−	0.0318312i
$567$	3.99847	+	1.17406i	0.167920	+	0.0493057i
$568$	26.2286	−	3.78448i	1.10053	−	0.158793i
$569$	−16.6293	+	14.4094i	−0.697136	+	0.604072i	−0.929616	−	0.368530i	$-0.879861\pi$
$569$	−16.6293	+	14.4094i	−0.697136	+	0.604072i	0.232480	+	0.972601i	$0.425316\pi$
$570$	4.39343	+	8.51858i	0.184021	+	0.356804i
$571$	−17.4533	−	15.1234i	−0.730399	−	0.632895i	0.208127	−	0.978102i	$-0.433263\pi$
$571$	−17.4533	−	15.1234i	−0.730399	−	0.632895i	−0.938527	+	0.345207i	$0.887809\pi$
$572$	−6.57754	−	6.26749i	−0.275021	−	0.262057i
$573$	4.89665	+	10.7222i	0.204560	+	0.447925i
$574$	27.7328	−	48.0531i	1.15754	−	2.00570i
$575$	−3.76429	+	3.02729i	−0.156982	+	0.126247i
$576$	8.00000	−	0.00799828i	0.333333	−	0.000333261i
$577$	−18.2451	−	39.9512i	−0.759553	−	1.66319i	−0.748396	−	0.663252i	$-0.769176\pi$
$577$	−18.2451	−	39.9512i	−0.759553	−	1.66319i	−0.0111576	−	0.999938i	$-0.503552\pi$
$578$	−12.5593	+	51.8077i	−0.522397	+	2.15492i
$579$	12.5628	−	14.4982i	0.522091	−	0.602525i
$580$	−14.3970	−	0.681004i	−0.597802	−	0.0282771i
$581$	−25.4254	+	22.0313i	−1.05482	+	0.914010i
$582$	3.79217	−	9.47696i	0.157191	−	0.392833i
$583$	−2.10039	+	7.15326i	−0.0869891	+	0.296258i
$584$	−8.33813	+	5.36448i	−0.345034	+	0.221984i
$585$	6.28775	+	0.904042i	0.259966	+	0.0373775i
$586$	−14.4158	−	20.2370i	−0.595511	−	0.835983i
$587$	−1.26212	+	2.76366i	−0.0520932	+	0.114068i	−0.933889	−	0.357564i	$-0.883608\pi$
$587$	−1.26212	+	2.76366i	−0.0520932	+	0.114068i	0.881796	+	0.471632i	$0.156335\pi$
$588$	−19.2447	+	7.71184i	−0.793636	+	0.318031i
$589$	−12.3070	+	7.90922i	−0.507100	+	0.325894i
$590$	−15.8661	+	15.1333i	−0.653196	+	0.623029i
$591$	−4.09642	+	0.588977i	−0.168504	+	0.0242273i
$592$	−12.7260	+	2.46153i	−0.523035	+	0.101168i
$593$	13.0043	+	8.35739i	0.534025	+	0.343197i	0.779698	−	0.626156i	$-0.215373\pi$
$593$	13.0043	+	8.35739i	0.534025	+	0.343197i	−0.245673	+	0.969353i	$0.579009\pi$
$594$	−2.34228	+	0.811107i	−0.0961048	+	0.0332801i
$595$	21.2813	+	72.4776i	0.872450	+	2.97129i
$596$	11.3961	−	16.0149i	0.466802	−	0.655994i
$597$	−3.69616			−0.151274
$598$	0.194644	+	17.5773i	0.00795957	+	0.718790i
$599$		−	8.36139i		−	0.341637i	−0.985302	−	0.170819i	$-0.945359\pi$
$599$		−	8.36139i		−	0.341637i	0.985302	−	0.170819i	$-0.0546412\pi$
$600$	−1.18478	−	2.59087i	−0.0483683	−	0.105772i
$601$	40.5801	−	11.9154i	1.65530	−	0.486039i	0.685118	−	0.728432i	$-0.259751\pi$
$601$	40.5801	−	11.9154i	1.65530	−	0.486039i	0.970178	+	0.242393i	$0.0779324\pi$
$602$	15.9103	−	5.50957i	0.648454	−	0.224553i
$603$	−3.52308	+	5.48201i	−0.143471	+	0.223245i
$604$	17.1974	+	5.94566i	0.699752	+	0.241925i
$605$	2.76533	+	19.2333i	0.112427	+	0.781945i
$606$	8.90454	+	9.33570i	0.361722	+	0.379237i
$607$	15.4721	+	24.0751i	0.627995	+	0.977179i	0.998824	+	0.0484778i	$0.0154370\pi$
$607$	15.4721	+	24.0751i	0.627995	+	0.977179i	−0.370830	+	0.928701i	$0.620927\pi$
$608$	−5.82582	−	14.5171i	−0.236268	−	0.588747i
$609$	11.1457	+	5.09006i	0.451646	+	0.206260i
$610$	24.7813	+	34.7882i	1.00337	+	1.40853i
$611$	−3.09350	+	21.5158i	−0.125150	+	0.870436i
$612$	−6.77332	+	13.1492i	−0.273795	+	0.531524i
$613$	−20.8814	−	6.13134i	−0.843393	−	0.247642i	−0.168632	−	0.985679i	$-0.553935\pi$
$613$	−20.8814	−	6.13134i	−0.843393	−	0.247642i	−0.674761	+	0.738037i	$0.735753\pi$
$614$	21.6187	+	8.65062i	0.872458	+	0.349111i
$615$	−15.1101	−	17.4380i	−0.609299	−	0.703169i
$616$	11.1605	−	17.3852i	0.449670	−	0.700469i
$617$	−1.10869	−	0.960684i	−0.0446341	−	0.0386757i	0.632258	−	0.774758i	$-0.282128\pi$
$617$	−1.10869	−	0.960684i	−0.0446341	−	0.0386757i	−0.676892	+	0.736082i	$0.736674\pi$
$618$	−2.95390	+	12.1850i	−0.118823	+	0.490152i
$619$	−11.2827	+	5.15262i	−0.453488	+	0.207101i	−0.629046	−	0.777368i	$-0.716554\pi$
$619$	−11.2827	+	5.15262i	−0.453488	+	0.207101i	0.175558	+	0.984469i	$0.443827\pi$
$620$	22.4548	−	12.9742i	0.901805	−	0.521058i
$621$	4.28642	+	2.15096i	0.172008	+	0.0863149i
$622$	11.4180	+	6.58966i	0.457821	+	0.264221i
$623$	−52.0736	+	23.7812i	−2.08628	+	0.952774i
$624$	−10.0766	−	2.43744i	−0.403386	−	0.0975757i
$625$	19.0052	−	21.9331i	0.760206	−	0.877325i
$626$	21.7914	+	42.2522i	0.870961	+	1.68874i
$627$	3.17392	+	3.66290i	0.126754	+	0.146282i
$628$	9.77919	−	7.69572i	0.390232	−	0.307093i
$629$	6.75176	−	22.9944i	0.269210	−	0.916846i
$630$	0.689704	+	14.4281i	0.0274785	+	0.574829i
$631$	−1.29552	+	9.01055i	−0.0515739	+	0.358704i	0.947650	+	0.319311i	$0.103452\pi$
$631$	−1.29552	+	9.01055i	−0.0515739	+	0.358704i	−0.999224	+	0.0393931i	$0.987458\pi$
$632$	−8.54020	+	18.7252i	−0.339711	+	0.744849i
$633$	1.20433	−	2.63711i	0.0478678	−	0.104816i
$634$	−2.02305	+	2.57339i	−0.0803454	+	0.102203i
$635$	−6.35935	−	9.89533i	−0.252363	−	0.392684i
$636$	2.00835	+	8.26652i	0.0796364	+	0.327789i
$637$	26.5935	−	3.82357i	1.05367	−	0.151495i
$638$	−7.15626	+	1.38049i	−0.283319	+	0.0546542i
$639$	−5.06539	+	7.88190i	−0.200384	+	0.311803i
$640$	9.10000	+	26.1938i	0.359709	+	1.03540i
$641$	−5.64937	−	19.2400i	−0.223137	−	0.759933i	−0.992620	−	0.121267i	$-0.961304\pi$
$641$	−5.64937	−	19.2400i	−0.223137	−	0.759933i	0.769483	−	0.638667i	$-0.220514\pi$
$642$	−2.52189	+	26.4570i	−0.0995309	+	1.04417i
$643$		−	37.4386i		−	1.47643i	−0.674564	−	0.738217i	$-0.735668\pi$
$643$		−	37.4386i		−	1.47643i	0.674564	−	0.738217i	$-0.264332\pi$
$644$	−39.1612	+	8.00523i	−1.54317	+	0.315450i
$645$		−	7.00230i		−	0.275715i
$646$	28.7908	+	2.74435i	1.13276	+	0.107975i
$647$	−0.411430	−	1.40120i	−0.0161750	−	0.0550869i	0.951010	−	0.309160i	$-0.100048\pi$
$647$	−0.411430	−	1.40120i	−0.0161750	−	0.0550869i	−0.967185	+	0.254073i	$0.918230\pi$
$648$	−1.85116	+	2.13851i	−0.0727203	+	0.0840085i
$649$	−5.99421	+	9.32717i	−0.235293	+	0.366124i
$650$	0.699300	+	3.62506i	0.0274288	+	0.142187i
$651$	−21.8224	+	3.13759i	−0.855287	+	0.122972i
$652$	−8.27802	−	34.0729i	−0.324192	−	1.33440i
$653$	−20.6011	−	32.0559i	−0.806182	−	1.25444i	−0.963716	−	0.266930i	$-0.913991\pi$
$653$	−20.6011	−	32.0559i	−0.806182	−	1.25444i	0.157534	−	0.987514i	$-0.449646\pi$
$654$	21.2917	+	16.7383i	0.832573	+	0.654518i
$655$	−10.5003	+	22.9925i	−0.410282	+	0.898393i
$656$	21.8634	+	30.6596i	0.853624	+	1.19706i
$657$	0.498869	−	3.46971i	0.0194627	−	0.135366i
$658$	−49.3709	+	2.36007i	−1.92468	+	0.0920052i
$659$	−9.02646	+	30.7413i	−0.351621	+	1.19751i	0.573935	+	0.818901i	$0.305416\pi$
$659$	−9.02646	+	30.7413i	−0.351621	+	1.19751i	−0.925556	+	0.378610i	$0.876402\pi$
$660$	−5.31334	−	6.75183i	−0.206822	−	0.262815i
$661$	2.16421	+	2.49763i	0.0841779	+	0.0971465i	0.796276	−	0.604934i	$-0.206800\pi$
$661$	2.16421	+	2.49763i	0.0841779	+	0.0971465i	−0.712098	+	0.702080i	$0.752255\pi$
$662$	37.9559	−	19.5756i	1.47520	−	0.760829i
$663$	12.5523	−	14.4861i	0.487489	−	0.562593i
$664$	−6.44405	−	21.9059i	−0.250078	−	0.850114i
$665$	25.6913	−	11.7328i	0.996266	−	0.454979i
$666$	2.29069	−	3.96913i	0.0887626	−	0.153801i
$667$	11.5749	+	8.05368i	0.448183	+	0.311840i
$668$	−5.55762	+	3.21116i	−0.215031	+	0.124244i
$669$	11.1442	−	5.08939i	0.430860	−	0.196767i
$670$	−21.9516	−	5.32152i	−0.848063	−	0.205588i
$671$	16.3228	+	14.1438i	0.630134	+	0.546014i
$672$	1.10206	−	23.5479i	0.0425129	−	0.908379i
$673$	24.7547	+	28.5684i	0.954223	+	1.10123i	0.994779	+	0.102055i	$0.0325417\pi$
$673$	24.7547	+	28.5684i	0.954223	+	1.10123i	−0.0405558	+	0.999177i	$0.512913\pi$
$674$	6.44898	−	16.1166i	0.248406	−	0.620787i
$675$	0.966442	+	0.283773i	0.0371984	+	0.0109224i
$676$	−11.1703	−	5.75399i	−0.429627	−	0.221307i
$677$	−3.01556	+	20.9736i	−0.115897	+	0.806083i	0.846100	+	0.533024i	$0.178944\pi$
$677$	−3.01556	+	20.9736i	−0.115897	+	0.806083i	−0.961997	+	0.273059i	$0.911965\pi$
$678$	12.5955	−	8.97235i	0.483726	−	0.344581i
$679$	−27.3604	−	12.4951i	−1.05000	−	0.479517i
$680$	−50.7508	−	7.27097i	−1.94620	−	0.278829i
$681$	7.63238	+	11.8762i	0.292473	+	0.455098i
$682$	9.48932	−	9.05106i	0.363365	−	0.346583i
$683$	−2.80363	−	19.4997i	−0.107278	−	0.746135i	−0.970463	−	0.241248i	$-0.922443\pi$
$683$	−2.80363	−	19.4997i	−0.107278	−	0.746135i	0.863185	−	0.504887i	$-0.168466\pi$
$684$	5.22689	+	1.80709i	0.199855	+	0.0690959i
$685$	−9.84761	+	15.3232i	−0.376258	+	0.585469i
$686$	6.49156	+	18.7460i	0.247849	+	0.715727i
$687$	16.7004	−	4.90369i	0.637161	−	0.187087i
$688$	−1.07870	+	11.3768i	−0.0411251	+	0.433736i
$689$		−	11.0242i		−	0.419988i
$690$	−2.18340	+	16.4793i	−0.0831206	+	0.627355i
$691$	0.783668			0.0298121			0.0149061	−	0.999889i	$-0.495255\pi$
$691$	0.783668			0.0298121			0.0149061	+	0.999889i	$0.495255\pi$
$692$	28.8386	+	20.5214i	1.09628	+	0.780106i
$693$	2.05781	+	7.00825i	0.0781697	+	0.266222i
$694$	2.43104	+	7.02025i	0.0922811	+	0.266485i
$695$	−26.7852	−	17.2138i	−1.01602	−	0.652957i
$696$	−6.28237	+	5.44921i	−0.238133	+	0.206552i
$697$	−68.9146	+	9.90842i	−2.61033	+	0.375308i
$698$	9.93664	+	10.4178i	0.376107	+	0.394318i
$699$	0.170352	−	0.109479i	0.00644332	−	0.00414087i
$700$	−7.79253	+	3.12267i	−0.294530	+	0.118026i
$701$	18.9973	−	41.5982i	0.717517	−	1.57114i	−0.0998345	−	0.995004i	$-0.531831\pi$
$701$	18.9973	−	41.5982i	0.717517	−	1.57114i	0.817352	−	0.576139i	$-0.195441\pi$
$702$	2.98535	−	2.12661i	0.112675	−	0.0802637i
$703$	−8.86942	−	1.27523i	−0.334516	−	0.0480962i
$704$	7.59259	+	11.7884i	0.286156	+	0.444291i
$705$	−5.79128	+	19.7233i	−0.218112	+	0.742822i
$706$	−34.4864	−	13.7996i	−1.29791	−	0.519355i
$707$	28.7311	−	24.8956i	1.08054	−	0.936295i
$708$	−0.597764	+	12.6372i	−0.0224654	+	0.474936i
$709$	−31.0882	+	35.8777i	−1.16754	+	1.34741i	−0.241315	+	0.970447i	$0.577579\pi$
$709$	−31.0882	+	35.8777i	−1.16754	+	1.34741i	−0.926227	+	0.376967i	$0.876967\pi$
$710$	−31.5614	−	7.65114i	−1.18448	−	0.287142i
$711$	−3.02273	−	6.61885i	−0.113361	−	0.248226i
$712$	−0.0194232	−	38.8548i	−0.000727916	−	1.45615i
$713$	−25.3551	−	0.930783i	−0.949556	−	0.0348581i
$714$	37.7495	+	21.7863i	1.41274	+	0.815333i
$715$	4.62526	+	10.1279i	0.172975	+	0.378763i
$716$	−28.5812	−	27.2339i	−1.06813	−	1.01778i
$717$	16.0629	+	13.9186i	0.599881	+	0.519800i
$718$	−7.33128	+	3.78108i	−0.273601	+	0.141109i
$719$	37.7235	−	32.6876i	1.40685	−	1.21904i	0.463996	−	0.885837i	$-0.346415\pi$
$719$	37.7235	−	32.6876i	1.40685	−	1.21904i	0.942854	−	0.333206i	$-0.108130\pi$
$720$	−9.10403	−	3.63766i	−0.339287	−	0.135568i
$721$	35.4490	+	10.4088i	1.32019	+	0.387643i
$722$	0.766662	+	16.0380i	0.0285322	+	0.596872i
$723$	15.0194	+	2.15947i	0.558579	+	0.0803115i
$724$	−19.1801	+	1.83793i	−0.712825	+	0.0683062i
$725$	2.69395	+	1.23028i	0.100051	+	0.0456916i
$726$	8.81421	+	6.92919i	0.327126	+	0.257166i
$727$	−18.1005	+	11.6325i	−0.671309	+	0.431424i	−0.831397	−	0.555679i	$-0.812459\pi$
$727$	−18.1005	+	11.6325i	−0.671309	+	0.431424i	0.160088	+	0.987103i	$0.448822\pi$
$728$	−8.59200	+	29.3159i	−0.318441	+	1.08652i
$729$	−0.142315	−	0.989821i	−0.00527092	−	0.0366601i
$730$	11.9304	−	2.30146i	0.441564	−	0.0851808i
$731$	−17.7747	−	11.4231i	−0.657422	−	0.422499i
$732$	24.2012	+	4.65604i	0.894504	+	0.172092i
$733$	−15.7896	+	4.63626i	−0.583204	+	0.171244i	−0.560008	−	0.828487i	$-0.689202\pi$
$733$	−15.7896	+	4.63626i	−0.583204	+	0.171244i	−0.0231953	+	0.999731i	$0.507384\pi$
$734$	−41.1060	−	3.91823i	−1.51725	−	0.144625i
$735$	25.4071			0.937156
$736$	6.08604	−	26.4379i	0.224334	−	0.974512i
$737$	−11.4217			−0.420722
$738$	−13.2536	−	1.26333i	−0.487870	−	0.0465039i
$739$	7.54292	−	2.21480i	0.277471	−	0.0814728i	−0.140037	−	0.990146i	$-0.544722\pi$
$739$	7.54292	−	2.21480i	0.277471	−	0.0814728i	0.417507	+	0.908674i	$0.362904\pi$
$740$	15.5985	+	3.00097i	0.573412	+	0.110318i
$741$	−6.02918	−	3.87472i	−0.221487	−	0.142341i
$742$	24.6138	−	4.74818i	0.903602	−	0.174311i
$743$	0.467046	+	3.24838i	0.0171343	+	0.119171i	0.996593	−	0.0824711i	$-0.0262812\pi$
$743$	0.467046	+	3.24838i	0.0171343	+	0.119171i	−0.979459	+	0.201642i	$0.935372\pi$
$744$	4.20858	−	14.3597i	0.154294	−	0.526451i
$745$	−20.2639	+	13.0228i	−0.742412	+	0.477119i
$746$	−16.7912	−	13.2002i	−0.614771	−	0.483295i
$747$	7.34352	+	3.35367i	0.268685	+	0.122704i
$748$	−25.8068	+	2.47293i	−0.943589	+	0.0904192i
$749$	77.5172	+	11.1453i	2.83242	+	0.407240i
$750$	−0.660821	−	13.8239i	−0.0241298	−	0.504777i
$751$	−21.3223	−	6.26080i	−0.778063	−	0.228460i	−0.131495	−	0.991317i	$-0.541978\pi$
$751$	−21.3223	−	6.26080i	−0.778063	−	0.228460i	−0.646567	+	0.762857i	$0.723796\pi$
$752$	12.4476	−	31.1527i	0.453916	−	1.13602i
$753$	18.4599	−	15.9956i	0.672718	−	0.582913i
$754$	9.57831	−	4.93998i	0.348821	−	0.179903i
$755$	−16.8526	−	14.6028i	−0.613328	−	0.531451i
$756$	6.03391	+	5.74948i	0.219451	+	0.209107i
$757$	5.91644	+	12.9552i	0.215037	+	0.470864i	0.986155	−	0.165828i	$-0.0530295\pi$
$757$	5.91644	+	12.9552i	0.215037	+	0.470864i	−0.771118	+	0.636692i	$0.780302\pi$
$758$	−29.2471	−	16.8793i	−1.06230	−	0.613085i
$759$	0.890237	+	8.35854i	0.0323136	+	0.303396i
$760$	0.00958274	+	19.1696i	0.000347603	+	0.695355i
$761$	10.2664	+	22.4803i	0.372157	+	0.814910i	0.999350	+	0.0360464i	$0.0114764\pi$
$761$	10.2664	+	22.4803i	0.372157	+	0.814910i	−0.627193	+	0.778864i	$0.715796\pi$
$762$	−6.59600	−	1.59901i	−0.238948	−	0.0579260i
$763$	52.2623	−	60.3139i	1.89202	−	2.18351i
$764$	−1.11388	+	23.5484i	−0.0402989	+	0.851951i
$765$	13.6990	−	11.8702i	0.495287	−	0.429169i
$766$	−18.0792	−	7.23431i	−0.653227	−	0.261386i
$767$	4.61896	−	15.7307i	0.166781	−	0.568004i
$768$	14.2311	+	7.31266i	0.513522	+	0.263873i
$769$	−8.90619	−	1.28052i	−0.321165	−	0.0461766i	−0.0201532	−	0.999797i	$-0.506415\pi$
$769$	−8.90619	−	1.28052i	−0.321165	−	0.0461766i	−0.301012	+	0.953620i	$0.597324\pi$
$770$	−20.6206	+	14.6890i	−0.743114	+	0.529356i
$771$	−9.11926	+	19.9684i	−0.328422	+	0.719144i
$772$	35.6146	−	14.2717i	1.28180	−	0.513651i
$773$	−24.3457	+	15.6461i	−0.875656	+	0.562750i	−0.899478	−	0.436966i	$-0.856053\pi$
$773$	−24.3457	+	15.6461i	−0.875656	+	0.562750i	0.0238221	+	0.999716i	$0.492416\pi$
$774$	−2.78864	−	2.92367i	−0.100236	−	0.105089i
$775$	−5.27454	+	0.758365i	−0.189467	+	0.0272413i
$776$	15.4220	−	13.3767i	0.553616	−	0.480196i
$777$	−11.3602	−	7.30076i	−0.407545	−	0.261913i
$778$	0.424230	+	1.22507i	0.0152094	+	0.0439209i
$779$	7.33415	+	24.9778i	0.262773	+	0.894923i
$780$	10.3515	+	7.36606i	0.370643	+	0.263747i
$781$	−16.4218			−0.587617
$782$	38.2692	+	32.4256i	1.36851	+	1.15954i
$783$		−	2.94028i		−	0.105077i
$784$	−41.2795	−	3.91395i	−1.47427	−	0.139784i
$785$	−14.6324	+	4.29645i	−0.522251	+	0.153347i
$786$	4.77250	+	13.7818i	0.170229	+	0.491580i
$787$	14.4535	−	22.4901i	0.515213	−	0.801687i	−0.482010	−	0.876166i	$-0.660093\pi$
$787$	14.4535	−	22.4901i	0.515213	−	0.801687i	0.997223	+	0.0744788i	$0.0237293\pi$
$788$	−7.82276	−	2.70457i	−0.278674	−	0.0963462i
$789$	−1.94856	−	13.5525i	−0.0693706	−	0.482483i
$790$	18.2507	−	17.4078i	0.649330	−	0.619342i
$791$	−24.6365	−	38.3352i	−0.875974	−	1.36304i
$792$	−4.90737	−	0.703070i	−0.174376	−	0.0249825i
$793$	−29.0513	−	13.2673i	−1.03164	−	0.471136i
$794$	17.4904	−	12.4592i	0.620711	−	0.442162i
$795$	1.48366	−	10.3191i	0.0526199	−	0.365980i
$796$	−6.57169	−	3.38517i	−0.232927	−	0.119984i
$797$	31.4099	+	9.22279i	1.11260	+	0.326688i	0.785846	−	0.618422i	$-0.212228\pi$
$797$	31.4099	+	9.22279i	1.11260	+	0.326688i	0.326751	+	0.945110i	$0.394046\pi$
$798$	6.05432	−	15.1303i	0.214321	−	0.535606i
$799$	40.6183	+	46.8760i	1.43697	+	1.65835i
$800$	0.266372	−	5.69160i	0.00941766	−	0.201228i
$801$	10.3819	+	8.99599i	0.366827	+	0.317858i
$802$	−17.1324	−	4.15325i	−0.604966	−	0.146656i
$803$	5.58880	−	2.55232i	0.197224	−	0.0900693i
$804$	−11.2847	+	6.52024i	−0.397981	+	0.229951i
$805$	48.1969	+	8.74514i	1.69872	+	0.308226i
$806$	−9.69291	+	16.7951i	−0.341418	+	0.591581i
$807$	2.24109	−	1.02347i	0.0788901	−	0.0360279i
$808$	7.28186	+	24.7540i	0.256175	+	0.870841i
$809$	5.33205	−	6.15351i	0.187465	−	0.216346i	−0.654236	−	0.756291i	$-0.727010\pi$
$809$	5.33205	−	6.15351i	0.187465	−	0.216346i	0.841700	+	0.539945i	$0.181555\pi$
$810$	3.08061	−	1.58881i	0.108242	−	0.0558252i
$811$	−8.91542	−	10.2889i	−0.313063	−	0.361294i	0.577311	−	0.816525i	$-0.304102\pi$
$811$	−8.91542	−	10.2889i	−0.313063	−	0.361294i	−0.890373	+	0.455231i	$0.849557\pi$
$812$	15.1550	+	19.2579i	0.531835	+	0.675820i
$813$	−6.28485	+	21.4042i	−0.220419	+	0.750680i
$814$	8.02311	−	0.383528i	0.281210	−	0.0134426i
$815$	−6.11533	+	42.5330i	−0.214211	+	1.48987i
$816$	−24.0856	+	17.1755i	−0.843165	+	0.601263i
$817$	−3.28183	+	7.18621i	−0.114817	+	0.251414i
$818$	−25.6343	−	20.1521i	−0.896281	−	0.704601i
$819$	−5.83931	−	9.08614i	−0.204042	−	0.317495i
$820$	−10.8947	−	44.8432i	−0.380458	−	1.56599i
$821$	−21.6329	+	3.11034i	−0.754994	+	0.108552i	−0.509056	−	0.860734i	$-0.670005\pi$
$821$	−21.6329	+	3.11034i	−0.754994	+	0.108552i	−0.245939	+	0.969285i	$0.579096\pi$
$822$	1.99074	+	10.3197i	0.0694349	+	0.359940i
$823$	7.20611	−	11.2129i	0.251189	−	0.390858i	−0.692644	−	0.721279i	$-0.743554\pi$
$823$	7.20611	−	11.2129i	0.251189	−	0.390858i	0.943834	+	0.330421i	$0.107191\pi$
$824$	−16.4117	+	18.9593i	−0.571729	+	0.660477i
$825$	0.497379	+	1.69392i	0.0173165	+	0.0589746i
$826$	37.1116	+	3.53749i	1.29128	+	0.123085i
$827$			25.5627i			0.888901i	0.895803	+	0.444451i	$0.146601\pi$
$827$			25.5627i			0.888901i	−0.895803	+	0.444451i	$0.853399\pi$
$828$	5.65117	+	7.75011i	0.196392	+	0.269335i
$829$			20.4842i			0.711446i	0.934591	+	0.355723i	$0.115765\pi$
$829$			20.4842i			0.711446i	−0.934591	+	0.355723i	$0.884235\pi$
$830$	−2.65529	+	27.8565i	−0.0921665	+	0.966914i
$831$	6.73941	+	22.9523i	0.233788	+	0.796207i
$832$	−15.6835	−	13.5624i	−0.543729	−	0.470193i
$833$	41.4476	−	64.4937i	1.43607	−	2.23457i
$834$	−18.0390	+	3.47984i	−0.624638	+	0.120497i
$835$	7.78585	−	1.11944i	0.269441	−	0.0387397i
$836$	2.28845	+	9.41941i	0.0791477	+	0.325777i
$837$	2.86024	+	4.45062i	0.0988644	+	0.153836i
$838$	−16.6741	+	21.2101i	−0.575996	+	0.732689i
$839$	9.05033	−	19.8175i	0.312452	−	0.684174i	−0.686630	−	0.727007i	$-0.740911\pi$
$839$	9.05033	−	19.8175i	0.312452	−	0.684174i	0.999082	+	0.0428324i	$0.0136381\pi$
$840$	−11.9878	+	26.2845i	−0.413620	+	0.906901i
$841$	−2.89678	+	20.1476i	−0.0998890	+	0.694743i
$842$	0.585374	+	12.2456i	0.0201733	+	0.422011i
$843$	−4.58765	+	15.6241i	−0.158007	+	0.538122i
$844$	4.55650	−	3.58573i	0.156841	−	0.123426i
$845$	10.0838	+	11.6374i	0.346895	+	0.400338i
$846$	5.43670	+	10.5414i	0.186918	+	0.362421i
$847$	21.6352	−	24.9683i	0.743393	−	0.857921i
$848$	−4.00018	+	16.5371i	−0.137367	+	0.567885i
$849$	−10.2013	+	4.65876i	−0.350107	+	0.159888i
$850$	9.12418	+	5.26582i	0.312957	+	0.180616i
$851$	−11.3636	−	10.6010i	−0.389541	−	0.363399i
$852$	−16.2249	+	9.37464i	−0.555855	+	0.321170i
$853$	11.0388	−	5.04126i	0.377962	−	0.172610i	−0.217370	−	0.976089i	$-0.569748\pi$
$853$	11.0388	−	5.04126i	0.377962	−	0.172610i	0.595332	+	0.803480i	$0.297020\pi$
$854$	17.1095	−	70.5775i	0.585474	−	2.41511i
$855$	−5.12208	−	4.43831i	−0.175171	−	0.151787i
$856$	−28.7148	+	44.7302i	−0.981450	+	1.52885i
$857$	−10.2408	−	11.8186i	−0.349820	−	0.403714i	0.553383	−	0.832927i	$-0.313337\pi$
$857$	−10.2408	−	11.8186i	−0.349820	−	0.403714i	−0.903204	+	0.429213i	$0.858791\pi$
$858$	5.96459	+	2.38671i	0.203628	+	0.0814809i
$859$	−27.4051	−	8.04685i	−0.935048	−	0.274555i	−0.221500	−	0.975160i	$-0.571095\pi$
$859$	−27.4051	−	8.04685i	−0.935048	−	0.274555i	−0.713549	+	0.700606i	$0.752913\pi$
$860$	6.41313	−	12.4499i	0.218686	−	0.424539i
$861$	−5.58321	+	38.8321i	−0.190275	+	1.32339i
$862$	−28.3501	−	39.7981i	−0.965608	−	1.35553i
$863$	−6.59829	−	3.01334i	−0.224608	−	0.102575i	0.299933	−	0.953960i	$-0.403036\pi$
$863$	−6.59829	−	3.01334i	−0.224608	−	0.102575i	−0.524541	+	0.851385i	$0.675763\pi$
$864$	−5.24989	+	2.10682i	−0.178605	+	0.0716753i
$865$	−23.4507	−	36.4900i	−0.797348	−	1.24070i
$866$	−29.6749	−	31.1117i	−1.00839	−	1.05722i
$867$	−5.36451	−	37.3110i	−0.182188	−	1.26715i
$868$	−41.6733	−	14.4077i	−1.41448	−	0.489030i
$869$	6.89512	−	10.7290i	0.233901	−	0.363957i
$870$	9.63050	−	3.33494i	0.326504	−	0.113065i
$871$	16.2052	−	4.75829i	0.549094	−	0.161228i
$872$	22.5263	+	49.2605i	0.762836	+	1.66817i
$873$			7.21781i			0.244286i
$874$	9.96422	−	15.8887i	0.337045	−	0.537445i
$875$	−40.7814			−1.37866
$876$	4.06475	−	5.71217i	0.137335	−	0.192996i
$877$	−9.57302	−	32.6027i	−0.323258	−	1.10092i	−0.947519	−	0.319699i	$-0.896418\pi$
$877$	−9.57302	−	32.6027i	−0.323258	−	1.10092i	0.624261	−	0.781216i	$-0.285400\pi$
$878$	−21.5044	+	7.44674i	−0.725737	+	0.251315i
$879$	14.7801	+	9.49861i	0.498521	+	0.320380i
$880$	−3.26326	−	16.8709i	−0.110004	−	0.568717i
$881$	−40.6440	+	5.84373i	−1.36933	+	0.196880i	−0.787443	−	0.616388i	$-0.788595\pi$
$881$	−40.6440	+	5.84373i	−1.36933	+	0.196880i	−0.581889	+	0.813268i	$0.697686\pi$
$882$	10.6082	−	10.1183i	0.357198	−	0.340701i
$883$	23.6037	−	15.1692i	0.794326	−	0.510483i	−0.0794335	−	0.996840i	$-0.525311\pi$
$883$	23.6037	−	15.1692i	0.794326	−	0.510483i	0.873760	+	0.486358i	$0.161675\pi$
$884$	35.5849	−	14.2598i	1.19685	−	0.479609i
$885$	6.44061	−	14.1030i	0.216499	−	0.474066i
$886$	28.2566	+	39.6668i	0.949298	+	1.33263i
$887$	−44.8319	−	6.44585i	−1.50531	−	0.216431i	−0.660226	−	0.751067i	$-0.729539\pi$
$887$	−44.8319	−	6.44585i	−1.50531	−	0.216431i	−0.845082	+	0.534637i	$0.820448\pi$
$888$	7.70797	−	4.95906i	0.258662	−	0.166415i
$889$	−5.63449	+	19.1893i	−0.188975	+	0.643589i
$890$	−17.6897	+	44.2081i	−0.592960	+	1.48186i
$891$	1.32463	−	1.14780i	0.0443767	−	0.0384526i
$892$	24.4753	+	1.15773i	0.819494	+	0.0387636i
$893$	15.1873	−	17.5270i	0.508222	−	0.586520i
$894$	−3.27449	+	13.5074i	−0.109515	+	0.451756i
$895$	20.0980	+	44.0085i	0.671802	+	1.47104i
$896$	23.5260	−	40.8582i	0.785949	−	1.36498i
$897$	−4.74527	−	11.4884i	−0.158440	−	0.383585i
$898$	−5.37943	+	9.32103i	−0.179514	+	0.311047i
$899$	6.46197	+	14.1497i	0.215519	+	0.471920i
$900$	1.45841	+	1.38967i	0.0486138	+	0.0463223i
$901$	−23.7737	−	20.6000i	−0.792016	−	0.686286i
$902$	−10.6963	−	20.7394i	−0.356148	−	0.690548i
$903$	−8.99774	+	7.79658i	−0.299426	+	0.259454i
$904$	30.6118	−	4.41694i	1.01813	−	0.146905i
$905$	22.6562	+	6.65245i	0.753116	+	0.221135i
$906$	−12.8520	+	0.614361i	−0.426978	+	0.0204108i
$907$	14.6187	+	2.10185i	0.485406	+	0.0697908i	0.380673	−	0.924710i	$-0.375692\pi$
$907$	14.6187	+	2.10185i	0.485406	+	0.0697908i	0.104732	+	0.994500i	$0.466601\pi$
$908$	2.69323	+	28.1058i	0.0893781	+	0.932725i
$909$	−8.29827	−	3.78969i	−0.275236	−	0.125696i
$910$	23.1373	−	29.4316i	0.766995	−	0.975648i
$911$	−13.3475	+	8.57789i	−0.442221	+	0.284198i	−0.742743	−	0.669577i	$-0.766476\pi$
$911$	−13.3475	+	8.57789i	−0.442221	+	0.284198i	0.300522	+	0.953775i	$0.402839\pi$
$912$	7.63823	+	8.00007i	0.252927	+	0.264909i
$913$	2.01375	+	14.0059i	0.0666452	+	0.463528i
$914$	−8.21851	−	42.6035i	−0.271844	−	1.40920i
$915$	−25.4076	−	16.3285i	−0.839951	−	0.539804i
$916$	34.1841	+	6.57663i	1.12947	+	0.217298i
$917$	41.2361	−	12.1080i	1.36174	−	0.399842i
$918$	0.992450	−	10.4117i	0.0327557	−	0.343639i
$919$	−8.73741			−0.288221			−0.144110	−	0.989562i	$-0.546032\pi$
$919$	−8.73741			−0.288221			−0.144110	+	0.989562i	$0.546032\pi$
$920$	−18.9747	+	27.3000i	−0.625578	+	0.900056i
$921$	−16.4651			−0.542544
$922$	−1.82589	+	19.1553i	−0.0601324	+	0.630846i
$923$	23.2995	−	6.84135i	0.766912	−	0.225186i
$924$	−2.75985	+	14.3452i	−0.0907923	+	0.471922i
$925$	−2.74580	−	1.76462i	−0.0902813	−	0.0580203i
$926$	−5.63577	−	29.2149i	−0.185203	−	0.960063i
$927$	−1.26171	−	8.77541i	−0.0414401	−	0.288222i
$928$	−16.1606	+	3.93478i	−0.530498	+	0.129166i
$929$	−14.2714	+	9.17168i	−0.468230	+	0.300913i	−0.753398	−	0.657564i	$-0.771587\pi$
$929$	−14.2714	+	9.17168i	−0.468230	+	0.300913i	0.285168	+	0.958477i	$0.407950\pi$
$930$	−11.3333	+	14.4163i	−0.371632	+	0.472731i
$931$	−26.0744	−	11.9078i	−0.854554	−	0.390262i
$932$	0.403150	−	0.0386317i	0.0132056	−	0.00126542i
$933$	−9.22699	−	1.32664i	−0.302078	−	0.0434323i
$934$	−34.7866	+	1.66290i	−1.13825	+	0.0544117i
$935$	30.4837	+	8.95083i	0.996924	+	0.292723i
$936$	7.25556	−	1.04689i	0.237156	−	0.0342188i
$937$	19.8027	−	17.1591i	0.646925	−	0.560564i	−0.268386	−	0.963312i	$-0.586490\pi$
$937$	19.8027	−	17.1591i	0.646925	−	0.560564i	0.915311	+	0.402748i	$0.131945\pi$
$938$	17.6036	+	34.1322i	0.574777	+	1.11446i
$939$	−25.4055	−	22.0140i	−0.829078	−	0.718400i
$940$	−28.3605	+	29.7635i	−0.925019	+	0.970779i
$941$	2.83554	+	6.20897i	0.0924359	+	0.202406i	0.950203	−	0.311633i	$-0.100876\pi$
$941$	2.83554	+	6.20897i	0.0924359	+	0.202406i	−0.857767	+	0.514039i	$0.828149\pi$
$942$	−4.39840	+	7.62118i	−0.143308	+	0.248312i
$943$	−14.3005	+	42.8241i	−0.465689	+	1.39454i
$944$	−12.6367	+	21.9212i	−0.411291	+	0.713475i
$945$	−4.24299	−	9.29085i	−0.138024	−	0.302231i
$946$	1.66842	−	6.88231i	0.0542449	−	0.223763i
$947$	4.24423	−	4.89810i	0.137919	−	0.159167i	−0.682588	−	0.730803i	$-0.739146\pi$
$947$	4.24423	−	4.89810i	0.137919	−	0.159167i	0.820507	+	0.571636i	$0.193691\pi$
$948$	0.687606	−	14.5366i	0.0223324	−	0.472125i
$949$	−6.86618	+	5.94957i	−0.222885	+	0.193131i
$950$	1.46335	−	3.65703i	0.0474773	−	0.118650i
$951$	0.652108	−	2.22088i	0.0211461	−	0.0720168i
$952$	47.1646	+	73.3089i	1.52861	+	2.37595i
$953$	10.7161	+	1.54074i	0.347128	+	0.0499095i	0.313674	−	0.949531i	$-0.398440\pi$
$953$	10.7161	+	1.54074i	0.347128	+	0.0499095i	0.0334544	+	0.999440i	$0.489349\pi$
$954$	−3.49006	−	4.89938i	−0.112995	−	0.158623i
$955$	12.0015	−	26.2797i	0.388360	−	0.850390i
$956$	15.8120	+	39.4584i	0.511397	+	1.27618i
$957$	4.33543	−	2.78621i	0.140145	−	0.0900654i
$958$	−35.3497	+	33.7171i	−1.14210	+	1.08935i
$959$	30.6544	−	4.40744i	0.989883	−	0.142324i
$960$	−12.8551	−	14.8057i	−0.414898	−	0.477852i
$961$	2.53300	+	1.62786i	0.0817097	+	0.0525116i
$962$	−11.2236	+	3.88660i	−0.361862	+	0.125309i
$963$	−5.29452	−	18.0315i	−0.170613	−	0.581056i
$964$	24.7264	+	17.5952i	0.796385	+	0.566703i
$965$	−47.0191			−1.51360
$966$	23.6064	−	15.5429i	0.759523	−	0.500085i
$967$		−	37.2964i		−	1.19937i	−0.800236	−	0.599685i	$-0.795293\pi$
$967$		−	37.2964i		−	1.19937i	0.800236	−	0.599685i	$-0.204707\pi$
$968$	9.32527	+	20.3925i	0.299726	+	0.655440i
$969$	−19.6221	+	5.76156i	−0.630352	+	0.185088i
$970$	−23.6409	+	8.18662i	−0.759065	+	0.262857i
$971$	−4.58280	+	7.13098i	−0.147069	+	0.228844i	−0.906970	−	0.421195i	$-0.861611\pi$
$971$	−4.58280	+	7.13098i	−0.147069	+	0.228844i	0.759901	+	0.650039i	$0.225247\pi$
$972$	0.653506	−	1.89022i	0.0209612	−	0.0606288i
$973$	7.70429	+	53.5845i	0.246988	+	1.71784i
$974$	−18.8729	−	19.7867i	−0.604726	−	0.634006i
$975$	−1.41138	−	2.19615i	−0.0452003	−	0.0703330i
$976$	38.7649	+	30.4433i	1.24084	+	0.974466i
$977$	16.1547	+	7.37760i	0.516834	+	0.236030i	0.656716	−	0.754138i	$-0.271945\pi$
$977$	16.1547	+	7.37760i	0.516834	+	0.236030i	−0.139882	+	0.990168i	$0.544672\pi$
$978$	14.3853	+	20.1942i	0.459991	+	0.645740i
$979$	−3.42662	+	23.8327i	−0.109515	+	0.761696i
$980$	45.1733	+	23.2694i	1.44301	+	0.743313i
$981$	−18.3751	−	5.39541i	−0.586671	−	0.172262i
$982$	−45.3206	−	18.1349i	−1.44624	−	0.578707i
$983$	20.6040	+	23.7783i	0.657166	+	0.758410i	0.982312	−	0.187254i	$-0.0599586\pi$
$983$	20.6040	+	23.7783i	0.657166	+	0.758410i	−0.325145	+	0.945664i	$0.605413\pi$
$984$	−22.4075	−	14.3846i	−0.714324	−	0.458564i
$985$	7.66591	+	6.64254i	0.244256	+	0.211649i
$986$	7.24513	−	29.8866i	0.230732	−	0.951782i
$987$	31.7920	−	14.5189i	1.01195	−	0.462142i
$988$	−7.17104	−	12.4110i	−0.228141	−	0.394848i
$989$	−11.7904	+	6.97974i	−0.374913	+	0.221943i
$990$	5.26188	+	3.03678i	0.167234	+	0.0965152i
$991$	24.0176	−	10.9685i	0.762945	−	0.348425i	0.00435249	−	0.999991i	$-0.498615\pi$
$991$	24.0176	−	10.9685i	0.762945	−	0.348425i	0.758593	+	0.651565i	$0.225887\pi$
$992$	20.6342	−	21.6767i	0.655137	−	0.688235i
$993$	−19.7756	+	22.8222i	−0.627559	+	0.724242i
$994$	25.3100	+	49.0744i	0.802783	+	1.55655i
$995$	5.93250	+	6.84647i	0.188073	+	0.217048i
$996$	9.98510	+	12.6884i	0.316390	+	0.402047i
$997$	−5.95063	+	20.2660i	−0.188458	+	0.641830i	0.810005	+	0.586422i	$0.199464\pi$
$997$	−5.95063	+	20.2660i	−0.188458	+	0.641830i	−0.998464	+	0.0554079i	$0.982354\pi$
$998$	−0.439209	−	9.18792i	−0.0139029	−	0.290839i
$999$	−0.461166	+	3.20748i	−0.0145907	+	0.101480i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	552.2.t.a.19.2	✓	240
8.3	odd	2	inner	552.2.t.a.19.17	yes	240
23.17	odd	22	inner	552.2.t.a.523.17	yes	240
184.155	even	22	inner	552.2.t.a.523.2	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
552.2.t.a.19.2	✓	240	1.1	even	1	trivial
552.2.t.a.19.17	yes	240	8.3	odd	2	inner
552.2.t.a.523.2	yes	240	184.155	even	22	inner
552.2.t.a.523.17	yes	240	23.17	odd	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:	\( N \)	\(=\)	\( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	552.t (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.40783 - 0.134195i) q^{2} +(0.959493 - 0.281733i) q^{3} +(1.96398 + 0.377848i) q^{4} +(-2.06189 - 1.32509i) q^{5} +(-1.38861 + 0.267873i) q^{6} +(0.593065 + 4.12486i) q^{7} +(-2.71425 - 0.795503i) q^{8} +(0.841254 - 0.540641i) q^{9} +O(q^{10})\)	\(q+(-1.40783 - 0.134195i) q^{2} +(0.959493 - 0.281733i) q^{3} +(1.96398 + 0.377848i) q^{4} +(-2.06189 - 1.32509i) q^{5} +(-1.38861 + 0.267873i) q^{6} +(0.593065 + 4.12486i) q^{7} +(-2.71425 - 0.795503i) q^{8} +(0.841254 - 0.540641i) q^{9} +(2.72497 + 2.14220i) q^{10} +(1.59434 + 0.728112i) q^{11} +(1.99088 - 0.190776i) q^{12} +(-2.56541 - 0.368851i) q^{13} +(-0.281401 - 5.88669i) q^{14} +(-2.35169 - 0.690517i) q^{15} +(3.71446 + 1.48417i) q^{16} +(-5.58921 + 4.84308i) q^{17} +(-1.25690 + 0.648240i) q^{18} +(2.08982 + 1.81084i) q^{19} +(-3.54882 - 3.38154i) q^{20} +(1.73115 + 3.79068i) q^{21} +(-2.14686 - 1.23901i) q^{22} +(1.18142 + 4.64804i) q^{23} +(-2.82843 + 0.00141391i) q^{24} +(0.418424 + 0.916220i) q^{25} +(3.56217 + 0.863546i) q^{26} +(0.654861 - 0.755750i) q^{27} +(-0.393799 + 8.32524i) q^{28} +(2.22212 - 1.92548i) q^{29} +(3.21812 + 1.28772i) q^{30} +(-1.49050 + 5.07616i) q^{31} +(-5.03017 - 2.58793i) q^{32} +(1.73489 + 0.249440i) q^{33} +(8.51859 - 6.06820i) q^{34} +(4.24299 - 9.29085i) q^{35} +(1.85649 - 0.743944i) q^{36} +(-2.72605 + 1.75193i) q^{37} +(-2.69911 - 2.82980i) q^{38} +(-2.56541 + 0.368851i) q^{39} +(4.54236 + 5.23688i) q^{40} +(7.91970 + 5.08968i) q^{41} +(-1.92847 - 5.56896i) q^{42} +(0.804897 + 2.74123i) q^{43} +(2.85615 + 2.03242i) q^{44} -2.45097 q^{45} +(-1.03950 - 6.70220i) q^{46} -8.38687i q^{47} +(3.98214 + 0.377570i) q^{48} +(-9.94626 + 2.92049i) q^{49} +(-0.466118 - 1.34603i) q^{50} +(-3.99835 + 6.22156i) q^{51} +(-4.89906 - 1.69375i) q^{52} +(0.605336 + 4.21020i) q^{53} +(-1.02335 + 0.976090i) q^{54} +(-2.32254 - 3.61394i) q^{55} +(1.67161 - 11.6677i) q^{56} +(2.51534 + 1.14872i) q^{57} +(-3.38676 + 2.41255i) q^{58} +(-0.900238 + 6.26129i) q^{59} +(-4.35776 - 2.24474i) q^{60} +(11.8234 + 3.47166i) q^{61} +(2.77956 - 6.94637i) q^{62} +(2.72898 + 3.14941i) q^{63} +(6.73435 + 4.31840i) q^{64} +(4.80083 + 4.15994i) q^{65} +(-2.40897 - 0.583984i) q^{66} +(-5.92760 + 2.70704i) q^{67} +(-12.8071 + 7.39985i) q^{68} +(2.44307 + 4.12691i) q^{69} +(-7.22020 + 12.5106i) q^{70} +(-8.52255 + 3.89212i) q^{71} +(-2.71346 + 0.798217i) q^{72} +(2.29554 - 2.64920i) q^{73} +(4.07293 - 2.10060i) q^{74} +(0.659604 + 0.761223i) q^{75} +(3.42015 + 4.34609i) q^{76} +(-2.05781 + 7.00825i) q^{77} +(3.66117 - 0.175015i) q^{78} +(1.03554 - 7.20234i) q^{79} +(-5.69212 - 7.98221i) q^{80} +(0.415415 - 0.909632i) q^{81} +(-10.4666 - 8.22820i) q^{82} +(4.36463 + 6.79149i) q^{83} +(1.96764 + 8.09895i) q^{84} +(17.9418 - 2.57965i) q^{85} +(-0.765301 - 3.96720i) q^{86} +(1.58964 - 2.47352i) q^{87} +(-3.74824 - 3.24459i) q^{88} +(3.87023 + 13.1808i) q^{89} +(3.45055 + 0.328908i) q^{90} -10.8007i q^{91} +(0.564044 + 9.57506i) q^{92} +5.29046i q^{93} +(-1.12548 + 11.8073i) q^{94} +(-1.90944 - 6.50295i) q^{95} +(-5.55552 - 1.06594i) q^{96} +(-3.90224 + 6.07200i) q^{97} +(14.3946 - 2.77682i) q^{98} +(1.73489 - 0.249440i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q + 24 q^{3} - 4 q^{4} + 11 q^{6} - 24 q^{9}+O(q^{10}) \) 240 * q + 24 * q^3 - 4 * q^4 + 11 * q^6 - 24 * q^9	\( 240 q + 24 q^{3} - 4 q^{4} + 11 q^{6} - 24 q^{9} + 4 q^{12} - 4 q^{16} + 44 q^{17} - 55 q^{20} - 24 q^{25} + 24 q^{27} + 33 q^{34} + 7 q^{36} - 132 q^{38} + 11 q^{40} - 66 q^{42} + 77 q^{44} + 37 q^{48} - 56 q^{49} - 37 q^{50} - 55 q^{52} - 11 q^{54} + 132 q^{56} + 37 q^{58} + 11 q^{60} + 51 q^{62} - 4 q^{64} - 55 q^{66} - 132 q^{70} + 144 q^{73} + 44 q^{74} + 24 q^{75} - 55 q^{76} - 198 q^{80} - 24 q^{81} - 26 q^{82} + 44 q^{84} - 110 q^{86} + 22 q^{88} - 139 q^{92} - 117 q^{94} - 209 q^{98}+O(q^{100}) \) 240 * q + 24 * q^3 - 4 * q^4 + 11 * q^6 - 24 * q^9 + 4 * q^12 - 4 * q^16 + 44 * q^17 - 55 * q^20 - 24 * q^25 + 24 * q^27 + 33 * q^34 + 7 * q^36 - 132 * q^38 + 11 * q^40 - 66 * q^42 + 77 * q^44 + 37 * q^48 - 56 * q^49 - 37 * q^50 - 55 * q^52 - 11 * q^54 + 132 * q^56 + 37 * q^58 + 11 * q^60 + 51 * q^62 - 4 * q^64 - 55 * q^66 - 132 * q^70 + 144 * q^73 + 44 * q^74 + 24 * q^75 - 55 * q^76 - 198 * q^80 - 24 * q^81 - 26 * q^82 + 44 * q^84 - 110 * q^86 + 22 * q^88 - 139 * q^92 - 117 * q^94 - 209 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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