LMFDB - Embedded newform 896.2.bk.b.587.99

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [896,2,Mod(27,896)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(896, base_ring=CyclotomicField(32))

chi = DirichletCharacter(H, H._module([16, 9, 16]))

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

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

chi := DirichletCharacter("896.27");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 896 = 2^{7} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	896.bk (of order $32$, degree $16$, 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:	$7.15459602111$
Analytic rank:	$0$
Dimension:	$1984$
Relative dimension:	$124$ over $\Q(\zeta_{32})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label			587.99
Character	$\chi$	$=$	896.587
Dual form			896.2.bk.b.867.99

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.14696 - 0.827340i) q^{2} +(-0.0945699 - 0.960184i) q^{3} +(0.631016 - 1.89785i) q^{4} +(-1.02108 + 1.91031i) q^{5} +(-0.902866 - 1.02305i) q^{6} +(2.52772 + 0.781431i) q^{7} +(-0.846418 - 2.69881i) q^{8} +(2.02935 - 0.403662i) q^{9} +O(q^{10})$	\(q+(1.14696 - 0.827340i) q^{2} +(-0.0945699 - 0.960184i) q^{3} +(0.631016 - 1.89785i) q^{4} +(-1.02108 + 1.91031i) q^{5} +(-0.902866 - 1.02305i) q^{6} +(2.52772 + 0.781431i) q^{7} +(-0.846418 - 2.69881i) q^{8} +(2.02935 - 0.403662i) q^{9} +(0.409340 + 3.03582i) q^{10} +(-0.543954 + 0.446412i) q^{11} +(-1.88196 - 0.426412i) q^{12} +(-0.778817 + 0.416286i) q^{13} +(3.54569 - 1.19502i) q^{14} +(1.93081 + 0.799767i) q^{15} +(-3.20364 - 2.39514i) q^{16} +(6.57397 - 2.72303i) q^{17} +(1.99360 - 2.14194i) q^{18} +(0.248518 - 0.819255i) q^{19} +(2.98115 + 3.14328i) q^{20} +(0.511272 - 2.50098i) q^{21} +(-0.254557 + 0.962050i) q^{22} +(2.37371 - 3.55251i) q^{23} +(-2.51131 + 1.06794i) q^{24} +(0.171188 + 0.256201i) q^{25} +(-0.548858 + 1.12181i) q^{26} +(-1.41973 - 4.68022i) q^{27} +(3.07807 - 4.30413i) q^{28} +(-2.01948 - 1.65734i) q^{29} +(2.87623 - 0.680138i) q^{30} +(-1.58779 - 1.58779i) q^{31} +(-5.65603 - 0.0966216i) q^{32} +(0.480079 + 0.480079i) q^{33} +(5.28718 - 8.56210i) q^{34} +(-4.07377 + 4.03081i) q^{35} +(0.514461 - 4.10610i) q^{36} +(-3.29218 + 0.998673i) q^{37} +(-0.392763 - 1.14526i) q^{38} +(0.473364 + 0.708439i) q^{39} +(6.01981 + 1.13878i) q^{40} +(3.16551 + 2.11513i) q^{41} +(-1.48275 - 3.29150i) q^{42} +(1.81153 + 0.178420i) q^{43} +(0.503977 + 1.31403i) q^{44} +(-1.30101 + 4.28884i) q^{45} +(-0.216593 - 6.03844i) q^{46} +(-10.2099 + 4.22909i) q^{47} +(-1.99681 + 3.30259i) q^{48} +(5.77873 + 3.95048i) q^{49} +(0.408311 + 0.152221i) q^{50} +(-3.23631 - 6.05470i) q^{51} +(0.298602 + 1.74076i) q^{52} +(-3.37935 + 2.77336i) q^{53} +(-5.50051 - 4.19341i) q^{54} +(-0.297362 - 1.49494i) q^{55} +(-0.0305711 - 7.48325i) q^{56} +(-0.810138 - 0.161146i) q^{57} +(-3.68744 - 0.230103i) q^{58} +(2.05508 - 3.84478i) q^{59} +(2.73620 - 3.15971i) q^{60} +(0.322322 + 3.27259i) q^{61} +(-3.13477 - 0.507483i) q^{62} +(5.44505 + 0.565450i) q^{63} +(-6.56715 + 4.56864i) q^{64} -1.91284i q^{65} +(0.947818 + 0.153441i) q^{66} +(0.205084 + 2.08225i) q^{67} +(-1.01961 - 14.1947i) q^{68} +(-3.63554 - 1.94324i) q^{69} +(-1.33759 + 7.99356i) q^{70} +(0.0623608 - 0.313509i) q^{71} +(-2.80708 - 5.13515i) q^{72} +(8.56213 - 1.70311i) q^{73} +(-2.94975 + 3.86919i) q^{74} +(0.229811 - 0.188601i) q^{75} +(-1.39800 - 0.988612i) q^{76} +(-1.72380 + 0.703341i) q^{77} +(1.12905 + 0.420916i) q^{78} +(-0.343013 + 0.828107i) q^{79} +(7.84662 - 3.67430i) q^{80} +(1.37519 - 0.569624i) q^{81} +(5.38063 - 0.192998i) q^{82} +(4.33961 + 1.31641i) q^{83} +(-4.42385 - 2.54847i) q^{84} +(-1.51073 + 15.3387i) q^{85} +(2.22536 - 1.29411i) q^{86} +(-1.40037 + 2.09581i) q^{87} +(1.66519 + 1.09018i) q^{88} +(-2.85754 - 4.27662i) q^{89} +(2.05614 + 5.99549i) q^{90} +(-2.29393 + 0.443663i) q^{91} +(-5.24426 - 6.74662i) q^{92} +(-1.37442 + 1.67473i) q^{93} +(-8.21144 + 13.2977i) q^{94} +(1.31127 + 1.31127i) q^{95} +(0.442115 + 5.43997i) q^{96} +(-12.3815 + 12.3815i) q^{97} +(9.89634 - 0.249953i) q^{98} +(-0.923672 + 1.12550i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1984 q - 32 q^{2} - 32 q^{4} - 16 q^{7} - 32 q^{8} - 32 q^{9}+O(q^{10}) $ 1984 * q - 32 * q^2 - 32 * q^4 - 16 * q^7 - 32 * q^8 - 32 * q^9	$ 1984 q - 32 q^{2} - 32 q^{4} - 16 q^{7} - 32 q^{8} - 32 q^{9} - 32 q^{11} - 16 q^{14} - 32 q^{15} - 32 q^{16} - 32 q^{18} - 16 q^{21} - 32 q^{22} - 32 q^{23} - 32 q^{25} - 16 q^{28} - 32 q^{29} - 32 q^{30} - 32 q^{32} - 16 q^{35} - 32 q^{36} - 32 q^{37} - 32 q^{39} - 16 q^{42} - 32 q^{43} - 32 q^{44} - 32 q^{46} - 16 q^{49} - 128 q^{50} - 32 q^{51} - 32 q^{53} - 128 q^{56} - 32 q^{57} - 32 q^{58} + 160 q^{60} - 32 q^{63} - 416 q^{64} - 32 q^{67} - 16 q^{70} - 32 q^{71} - 32 q^{72} + 256 q^{74} - 16 q^{77} - 224 q^{78} - 32 q^{79} - 32 q^{81} - 16 q^{84} - 32 q^{85} - 32 q^{86} - 32 q^{88} - 16 q^{91} - 32 q^{92} - 32 q^{93} - 32 q^{95} - 16 q^{98} - 32 q^{99}+O(q^{100}) $ 1984 * q - 32 * q^2 - 32 * q^4 - 16 * q^7 - 32 * q^8 - 32 * q^9 - 32 * q^11 - 16 * q^14 - 32 * q^15 - 32 * q^16 - 32 * q^18 - 16 * q^21 - 32 * q^22 - 32 * q^23 - 32 * q^25 - 16 * q^28 - 32 * q^29 - 32 * q^30 - 32 * q^32 - 16 * q^35 - 32 * q^36 - 32 * q^37 - 32 * q^39 - 16 * q^42 - 32 * q^43 - 32 * q^44 - 32 * q^46 - 16 * q^49 - 128 * q^50 - 32 * q^51 - 32 * q^53 - 128 * q^56 - 32 * q^57 - 32 * q^58 + 160 * q^60 - 32 * q^63 - 416 * q^64 - 32 * q^67 - 16 * q^70 - 32 * q^71 - 32 * q^72 + 256 * q^74 - 16 * q^77 - 224 * q^78 - 32 * q^79 - 32 * q^81 - 16 * q^84 - 32 * q^85 - 32 * q^86 - 32 * q^88 - 16 * q^91 - 32 * q^92 - 32 * q^93 - 32 * q^95 - 16 * q^98 - 32 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/896\mathbb{Z}\right)^\times$.

$n$	$127$	$129$	$645$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{5}{32}\right)$

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 $

$2$	1.14696	−	0.827340i	0.811020	−	0.585018i
$2$	1.14696	−	0.827340i	0.811020	−	0.585018i
$3$	−0.0945699	−	0.960184i	−0.0545999	−	0.554362i	−0.983105	−	0.183043i	$-0.941405\pi$
$3$	−0.0945699	−	0.960184i	−0.0545999	−	0.554362i	0.928505	−	0.371320i	$-0.121095\pi$
$4$	0.631016	−	1.89785i	0.315508	−	0.948923i
$5$	−1.02108	+	1.91031i	−0.456641	+	0.854314i	0.543251	+	0.839571i	$0.317193\pi$
$5$	−1.02108	+	1.91031i	−0.456641	+	0.854314i	−0.999891	+	0.0147440i	$0.995307\pi$
$6$	−0.902866	−	1.02305i	−0.368594	−	0.417657i
$7$	2.52772	+	0.781431i	0.955388	+	0.295353i
$7$	2.52772	+	0.781431i	0.955388	+	0.295353i
$8$	−0.846418	−	2.69881i	−0.299254	−	0.954174i
$9$	2.02935	−	0.403662i	0.676449	−	0.134554i
$10$	0.409340	+	3.03582i	0.129445	+	0.960009i
$11$	−0.543954	+	0.446412i	−0.164008	+	0.134598i	−0.712818	−	0.701349i	$-0.752581\pi$
$11$	−0.543954	+	0.446412i	−0.164008	+	0.134598i	0.548809	+	0.835948i	$0.315081\pi$
$12$	−1.88196	−	0.426412i	−0.543274	−	0.123095i
$13$	−0.778817	+	0.416286i	−0.216005	+	0.115457i	−0.575851	−	0.817555i	$-0.695329\pi$
$13$	−0.778817	+	0.416286i	−0.216005	+	0.115457i	0.359846	+	0.933012i	$0.382829\pi$
$14$	3.54569	−	1.19502i	0.947626	−	0.319382i
$15$	1.93081	+	0.799767i	0.498532	+	0.206499i
$16$	−3.20364	−	2.39514i	−0.800910	−	0.598785i
$17$	6.57397	−	2.72303i	1.59442	−	0.660431i	0.603809	−	0.797129i	$-0.293649\pi$
$17$	6.57397	−	2.72303i	1.59442	−	0.660431i	0.990613	+	0.136698i	$0.0436491\pi$
$18$	1.99360	−	2.14194i	0.469897	−	0.504861i
$19$	0.248518	−	0.819255i	0.0570140	−	0.187950i	−0.923808	−	0.382857i	$-0.874940\pi$
$19$	0.248518	−	0.819255i	0.0570140	−	0.187950i	0.980822	+	0.194907i	$0.0624404\pi$
$20$	2.98115	+	3.14328i	0.666605	+	0.702860i
$21$	0.511272	−	2.50098i	0.111569	−	0.545758i
$22$	−0.254557	+	0.962050i	−0.0542717	+	0.205110i
$23$	2.37371	−	3.55251i	0.494953	−	0.740749i	−0.496946	−	0.867782i	$-0.665545\pi$
$23$	2.37371	−	3.55251i	0.494953	−	0.740749i	0.991899	+	0.127033i	$0.0405453\pi$
$24$	−2.51131	+	1.06794i	−0.512619	+	0.217993i
$25$	0.171188	+	0.256201i	0.0342376	+	0.0512402i
$26$	−0.548858	+	1.12181i	−0.107640	+	0.220005i
$27$	−1.41973	−	4.68022i	−0.273227	−	0.900710i
$28$	3.07807	−	4.30413i	0.581700	−	0.813403i
$29$	−2.01948	−	1.65734i	−0.375008	−	0.307761i	0.427944	−	0.903805i	$-0.359238\pi$
$29$	−2.01948	−	1.65734i	−0.375008	−	0.307761i	−0.802951	+	0.596044i	$0.796738\pi$
$30$	2.87623	−	0.680138i	0.525125	−	0.124176i
$31$	−1.58779	−	1.58779i	−0.285176	−	0.285176i	0.549993	−	0.835169i	$-0.314630\pi$
$31$	−1.58779	−	1.58779i	−0.285176	−	0.285176i	−0.835169	+	0.549993i	$0.814630\pi$
$32$	−5.65603	−	0.0966216i	−0.999854	−	0.0170804i
$33$	0.480079	+	0.480079i	0.0835710	+	0.0835710i
$34$	5.28718	−	8.56210i	0.906744	−	1.46839i
$35$	−4.07377	+	4.03081i	−0.688594	+	0.681332i
$36$	0.514461	−	4.10610i	0.0857435	−	0.684351i
$37$	−3.29218	+	0.998673i	−0.541232	+	0.164181i	−0.549051	−	0.835789i	$-0.685011\pi$
$37$	−3.29218	+	0.998673i	−0.541232	+	0.164181i	0.00781973	+	0.999969i	$0.497511\pi$
$38$	−0.392763	−	1.14526i	−0.0637146	−	0.185785i
$39$	0.473364	+	0.708439i	0.0757989	+	0.113441i
$40$	6.01981	+	1.13878i	0.951816	+	0.180058i
$41$	3.16551	+	2.11513i	0.494369	+	0.330327i	0.777637	−	0.628714i	$-0.216418\pi$
$41$	3.16551	+	2.11513i	0.494369	+	0.330327i	−0.283267	+	0.959041i	$0.591418\pi$
$42$	−1.48275	−	3.29150i	−0.228794	−	0.507890i
$43$	1.81153	+	0.178420i	0.276256	+	0.0272089i	0.235197	−	0.971948i	$-0.424427\pi$
$43$	1.81153	+	0.178420i	0.276256	+	0.0272089i	0.0410597	+	0.999157i	$0.486927\pi$
$44$	0.503977	+	1.31403i	0.0759774	+	0.198098i
$45$	−1.30101	+	4.28884i	−0.193943	+	0.639343i
$46$	−0.216593	−	6.03844i	−0.0319349	−	0.890319i
$47$	−10.2099	+	4.22909i	−1.48927	+	0.616876i	−0.971158	−	0.238437i	$-0.923365\pi$
$47$	−10.2099	+	4.22909i	−1.48927	+	0.616876i	−0.518112	+	0.855313i	$0.673365\pi$
$48$	−1.99681	+	3.30259i	−0.288214	+	0.476688i
$49$	5.77873	+	3.95048i	0.825533	+	0.564354i
$50$	0.408311	+	0.152221i	0.0577439	+	0.0215272i
$51$	−3.23631	−	6.05470i	−0.453173	−	0.847828i
$52$	0.298602	+	1.74076i	0.0414086	+	0.241400i
$53$	−3.37935	+	2.77336i	−0.464189	+	0.380950i	−0.837218	−	0.546870i	$-0.815819\pi$
$53$	−3.37935	+	2.77336i	−0.464189	+	0.380950i	0.373029	+	0.927820i	$0.378319\pi$
$54$	−5.50051	−	4.19341i	−0.748524	−	0.570651i
$55$	−0.297362	−	1.49494i	−0.0400963	−	0.201578i
$56$	−0.0305711	−	7.48325i	−0.00408523	−	0.999992i
$57$	−0.810138	−	0.161146i	−0.107305	−	0.0213444i
$58$	−3.68744	−	0.230103i	−0.484185	−	0.0302141i
$59$	2.05508	−	3.84478i	0.267548	−	0.500548i	−0.711890	−	0.702291i	$-0.752161\pi$
$59$	2.05508	−	3.84478i	0.267548	−	0.500548i	0.979438	+	0.201743i	$0.0646606\pi$
$60$	2.73620	−	3.15971i	0.353242	−	0.407917i
$61$	0.322322	+	3.27259i	0.0412690	+	0.419012i	0.993517	+	0.113685i	$0.0362656\pi$
$61$	0.322322	+	3.27259i	0.0412690	+	0.419012i	−0.952248	+	0.305326i	$0.901234\pi$
$62$	−3.13477	−	0.507483i	−0.398117	−	0.0644504i
$63$	5.44505	+	0.565450i	0.686012	+	0.0712400i
$64$	−6.56715	+	4.56864i	−0.820894	+	0.571080i
$65$		−	1.91284i		−	0.237259i
$66$	0.947818	+	0.153441i	0.116668	+	0.0188872i
$67$	0.205084	+	2.08225i	0.0250550	+	0.254388i	0.999550	+	0.0299806i	$0.00954456\pi$
$67$	0.205084	+	2.08225i	0.0250550	+	0.254388i	−0.974495	+	0.224407i	$0.927955\pi$
$68$	−1.01961	−	14.1947i	−0.123646	−	1.72135i
$69$	−3.63554	−	1.94324i	−0.437668	−	0.233938i
$70$	−1.33759	+	7.99356i	−0.159872	+	0.955413i
$71$	0.0623608	−	0.313509i	0.00740087	−	0.0372067i	−0.976908	−	0.213659i	$-0.931462\pi$
$71$	0.0623608	−	0.313509i	0.00740087	−	0.0372067i	0.984309	+	0.176452i	$0.0564620\pi$
$72$	−2.80708	−	5.13515i	−0.330818	−	0.605184i
$73$	8.56213	−	1.70311i	1.00212	−	0.199334i	0.333351	−	0.942803i	$-0.391821\pi$
$73$	8.56213	−	1.70311i	1.00212	−	0.199334i	0.668771	+	0.743468i	$0.266821\pi$
$74$	−2.94975	+	3.86919i	−0.342901	+	0.449784i
$75$	0.229811	−	0.188601i	0.0265363	−	0.0217778i
$76$	−1.39800	−	0.988612i	−0.160362	−	0.113402i
$77$	−1.72380	+	0.703341i	−0.196446	+	0.0801531i
$78$	1.12905	+	0.420916i	0.127840	+	0.0476593i
$79$	−0.343013	+	0.828107i	−0.0385920	+	0.0931693i	−0.942000	−	0.335612i	$-0.891057\pi$
$79$	−0.343013	+	0.828107i	−0.0385920	+	0.0931693i	0.903408	+	0.428781i	$0.141057\pi$
$80$	7.84662	−	3.67430i	0.877279	−	0.410799i
$81$	1.37519	−	0.569624i	0.152799	−	0.0632916i
$82$	5.38063	−	0.192998i	0.594191	−	0.0213130i
$83$	4.33961	+	1.31641i	0.476334	+	0.144494i	0.519318	−	0.854581i	$-0.326186\pi$
$83$	4.33961	+	1.31641i	0.476334	+	0.144494i	−0.0429832	+	0.999076i	$0.513686\pi$
$84$	−4.42385	−	2.54847i	−0.482681	−	0.278061i
$85$	−1.51073	+	15.3387i	−0.163862	+	1.66372i
$86$	2.22536	−	1.29411i	0.239967	−	0.139548i
$87$	−1.40037	+	2.09581i	−0.150136	+	0.224694i
$88$	1.66519	+	1.09018i	0.177510	+	0.116213i
$89$	−2.85754	−	4.27662i	−0.302899	−	0.453321i	0.648530	−	0.761189i	$-0.275384\pi$
$89$	−2.85754	−	4.27662i	−0.302899	−	0.453321i	−0.951429	+	0.307869i	$0.900384\pi$
$90$	2.05614	+	5.99549i	0.216736	+	0.631980i
$91$	−2.29393	+	0.443663i	−0.240469	+	0.0465085i
$92$	−5.24426	−	6.74662i	−0.546752	−	0.703384i
$93$	−1.37442	+	1.67473i	−0.142520	+	0.173661i
$94$	−8.21144	+	13.2977i	−0.846945	+	1.37155i
$95$	1.31127	+	1.31127i	0.134533	+	0.134533i
$96$	0.442115	+	5.43997i	0.0451232	+	0.555214i
$97$	−12.3815	+	12.3815i	−1.25715	+	1.25715i	−0.304698	+	0.952449i	$0.598555\pi$
$97$	−12.3815	+	12.3815i	−1.25715	+	1.25715i	−0.952449	+	0.304698i	$0.901445\pi$
$98$	9.89634	−	0.249953i	0.999681	−	0.0252491i
$99$	−0.923672	+	1.12550i	−0.0928325	+	0.113117i
$100$	0.594253	−	0.163222i	0.0594253	−	0.0163222i
$101$	8.82531	−	2.67713i	0.878151	−	0.266384i	0.181151	−	0.983455i	$-0.442018\pi$
$101$	8.82531	−	2.67713i	0.878151	−	0.266384i	0.697000	+	0.717071i	$0.254518\pi$
$102$	−8.72120	−	4.26695i	−0.863527	−	0.422491i
$103$	−8.49704	−	12.7167i	−0.837238	−	1.25302i	−0.965272	−	0.261245i	$-0.915867\pi$
$103$	−8.49704	−	12.7167i	−0.837238	−	1.25302i	0.128034	−	0.991770i	$-0.459133\pi$
$104$	1.78268	+	1.74953i	0.174806	+	0.171555i
$105$	4.25558	+	3.53038i	0.415302	+	0.344530i
$106$	−1.58145	+	5.97679i	−0.153604	+	0.580517i
$107$	0.749758	−	7.61242i	0.0724818	−	0.735920i	−0.888420	−	0.459031i	$-0.848197\pi$
$107$	0.749758	−	7.61242i	0.0724818	−	0.735920i	0.960902	−	0.276889i	$-0.0893034\pi$
$108$	−9.77822	−	0.258865i	−0.940909	−	0.0249093i
$109$	−4.91503	+	16.2027i	−0.470775	+	1.55194i	0.324620	+	0.945844i	$0.394764\pi$
$109$	−4.91503	+	16.2027i	−0.470775	+	1.55194i	−0.795395	+	0.606092i	$0.792736\pi$
$110$	−1.57789	−	1.46861i	−0.150446	−	0.140027i
$111$	1.27025	+	3.06666i	0.120567	+	0.291074i
$112$	−6.22626	−	8.55767i	−0.588326	−	0.808624i
$113$	−3.05679	+	7.37974i	−0.287559	+	0.694228i	−0.999972	−	0.00753254i	$-0.997602\pi$
$113$	−3.05679	+	7.37974i	−0.287559	+	0.694228i	0.712413	+	0.701760i	$0.247602\pi$
$114$	−1.06252	+	0.485432i	−0.0995136	+	0.0454649i
$115$	4.36263	+	8.16190i	0.406817	+	0.761101i
$116$	−4.41971	+	2.78685i	−0.410359	+	0.258753i
$117$	−1.41245	+	1.15917i	−0.130581	+	0.107165i
$118$	−0.823859	−	6.11004i	−0.0758423	−	0.562475i
$119$	18.7450	−	1.74594i	1.71835	−	0.160050i
$120$	0.524149	−	5.88782i	0.0478481	−	0.537482i
$121$	−2.04939	+	10.3030i	−0.186308	+	0.936635i
$122$	3.07723	+	3.48684i	0.278599	+	0.315684i
$123$	1.73155	−	3.23950i	0.156128	−	0.292096i
$124$	−4.01531	+	2.01146i	−0.360585	+	0.180635i
$125$	−11.4424	+	1.12698i	−1.02344	+	0.100800i
$126$	6.71305	−	3.85637i	0.598046	−	0.343552i
$127$			16.9976i			1.50829i	0.656707	+	0.754146i	$0.271949\pi$
$127$			16.9976i			1.50829i	−0.656707	+	0.754146i	$0.728051\pi$
$128$	−3.75242	+	10.6733i	−0.331670	+	0.943396i
$129$		−	1.75628i		−	0.154632i
$130$	−1.58257	−	2.19394i	−0.138801	−	0.192422i
$131$	−0.824203	−	8.36828i	−0.0720110	−	0.731140i	−0.961614	−	0.274405i	$-0.911519\pi$
$131$	−0.824203	−	8.36828i	−0.0720110	−	0.731140i	0.889603	−	0.456734i	$-0.150981\pi$
$132$	1.21405	−	0.608179i	0.105670	−	0.0529351i
$133$	1.26838	−	1.87665i	0.109982	−	0.162726i
$134$	1.95796	+	2.21858i	0.169142	+	0.191656i
$135$	10.3903	+	2.06676i	0.894256	+	0.177879i
$136$	−12.9133	−	15.4371i	−1.10730	−	1.32372i
$137$	−12.5703	+	2.50039i	−1.07396	+	0.213623i	−0.700231	−	0.713916i	$-0.746920\pi$
$137$	−12.5703	+	2.50039i	−1.07396	+	0.213623i	−0.373725	+	0.927540i	$0.621920\pi$
$138$	−5.77753	+	0.779023i	−0.491816	+	0.0663148i
$139$	11.0560	+	13.4717i	0.937756	+	1.14266i	0.989577	+	0.144002i	$0.0459973\pi$
$139$	11.0560	+	13.4717i	0.937756	+	1.14266i	−0.0518215	+	0.998656i	$0.516503\pi$
$140$	5.07924	+	10.2749i	0.429275	+	0.868388i
$141$	5.02625	+	9.40346i	0.423287	+	0.791914i
$142$	−0.187854	−	0.411175i	−0.0157643	−	0.0345050i
$143$	0.237806	−	0.574114i	0.0198863	−	0.0480098i
$144$	−7.46812	−	3.56738i	−0.622343	−	0.297282i
$145$	5.22808	−	2.16554i	0.434169	−	0.179838i
$146$	8.41133	−	9.03719i	0.696127	−	0.747924i
$147$	3.24669	−	5.92224i	0.267783	−	0.488458i
$148$	−0.182092	+	6.87824i	−0.0149679	+	0.565387i
$149$	−3.56755	−	0.351373i	−0.292265	−	0.0287856i	−0.0491777	−	0.998790i	$-0.515660\pi$
$149$	−3.56755	−	0.351373i	−0.292265	−	0.0287856i	−0.243087	+	0.970004i	$0.578160\pi$
$150$	0.107546	−	0.406449i	0.00878108	−	0.0331864i
$151$	6.91534	−	10.3495i	0.562762	−	0.842233i	−0.435559	−	0.900160i	$-0.643449\pi$
$151$	6.91534	−	10.3495i	0.562762	−	0.842233i	0.998321	+	0.0579274i	$0.0184492\pi$
$152$	−2.42136	+	0.0227280i	−0.196399	+	0.00184349i
$153$	12.2417	−	8.17963i	0.989681	−	0.661284i
$154$	−1.39522	+	2.23287i	−0.112430	+	0.179930i
$155$	4.65443	−	1.41191i	0.373853	−	0.113407i
$156$	1.64321	−	0.451336i	0.131562	−	0.0361358i
$157$	−0.817639	+	0.996296i	−0.0652547	+	0.0795131i	−0.804615	−	0.593797i	$-0.797628\pi$
$157$	−0.817639	+	0.996296i	−0.0652547	+	0.0795131i	0.739360	+	0.673310i	$0.235128\pi$
$158$	0.291705	+	1.23359i	0.0232068	+	0.0981392i
$159$	2.98252	+	2.98252i	0.236529	+	0.236529i
$160$	5.95983	−	10.7061i	0.471166	−	0.846390i
$161$	8.77611	−	7.12485i	0.691655	−	0.561517i
$162$	1.10601	−	1.79109i	0.0868967	−	0.140721i
$163$	7.63994	+	6.26994i	0.598406	+	0.491099i	0.884148	−	0.467207i	$-0.154740\pi$
$163$	7.63994	+	6.26994i	0.598406	+	0.491099i	−0.285741	+	0.958307i	$0.592240\pi$
$164$	6.01167	−	4.67297i	0.469432	−	0.364898i
$165$	−1.40730	+	0.426899i	−0.109558	+	0.0332340i
$166$	6.06646	−	2.08048i	0.470849	−	0.161476i
$167$	7.71615	−	5.15577i	0.597094	−	0.398965i	−0.219975	−	0.975505i	$-0.570598\pi$
$167$	7.71615	−	5.15577i	0.597094	−	0.398965i	0.817069	+	0.576540i	$0.195598\pi$
$168$	−7.18241	+	0.737044i	−0.554135	+	0.0568642i
$169$	−6.78915	+	10.1607i	−0.522242	+	0.781591i
$170$	10.9576	+	18.8427i	0.840409	+	1.44517i
$171$	0.173627	−	1.76287i	0.0132776	−	0.134810i
$172$	1.48172	−	3.32543i	0.112980	−	0.253561i
$173$	−0.392514	+	1.29395i	−0.0298423	+	0.0983769i	−0.970596	−	0.240712i	$-0.922619\pi$
$173$	−0.392514	+	1.29395i	−0.0298423	+	0.0983769i	0.940754	+	0.339089i	$0.110119\pi$
$174$	0.127779	+	3.56238i	0.00968691	+	0.270063i
$175$	0.232512	+	0.781377i	0.0175763	+	0.0590665i
$176$	2.81185	−	0.127295i	0.211951	−	0.00959519i
$177$	−3.88605	−	1.60965i	−0.292093	−	0.120989i
$178$	−6.81570	−	2.54093i	−0.510858	−	0.190451i
$179$	−7.17666	−	13.4266i	−0.536409	−	1.00355i	−0.993468	−	0.114114i	$-0.963597\pi$
$179$	−7.17666	−	13.4266i	−0.536409	−	1.00355i	0.457059	−	0.889437i	$-0.348903\pi$
$180$	7.31861	+	5.17544i	0.545497	+	0.385754i
$181$	10.5780	+	12.8893i	0.786257	+	0.958057i	0.999822	−	0.0188721i	$-0.00600753\pi$
$181$	10.5780	+	12.8893i	0.786257	+	0.958057i	−0.213565	+	0.976929i	$0.568508\pi$
$182$	−2.26398	+	2.40672i	−0.167817	+	0.178398i
$183$	3.11180	−	0.618976i	0.230031	−	0.0457560i
$184$	−11.5967	−	3.39929i	−0.854920	−	0.250599i
$185$	1.45381	−	7.30880i	0.106886	−	0.537354i
$186$	−0.190822	+	3.05795i	−0.0139918	+	0.224220i
$187$	−2.36035	+	4.41590i	−0.172606	+	0.322922i
$188$	1.58354	+	22.0455i	0.115491	+	1.60783i
$189$	0.0685934	−	12.9397i	0.00498944	−	0.941226i
$190$	2.58884	+	0.419102i	0.187814	+	0.0304049i
$191$	2.92883			0.211922			0.105961	−	0.994370i	$-0.466208\pi$
$191$	2.92883			0.211922			0.105961	+	0.994370i	$0.466208\pi$
$192$	5.00779	+	5.87362i	0.361406	+	0.423892i
$193$		−	9.07466i		−	0.653209i	−0.945161	−	0.326604i	$-0.894096\pi$
$193$		−	9.07466i		−	0.653209i	0.945161	−	0.326604i	$-0.105904\pi$
$194$	−3.95731	+	24.4447i	−0.284118	+	1.75503i
$195$	−1.83668	+	0.180897i	−0.131527	+	0.0129543i
$196$	11.1439	−	8.47433i	0.795991	−	0.605309i
$197$	−6.32312	+	11.8297i	−0.450504	+	0.842833i	0.549469	+	0.835514i	$0.314830\pi$
$197$	−6.32312	+	11.8297i	−0.450504	+	0.842833i	−0.999973	+	0.00731947i	$0.997670\pi$
$198$	−0.128241	+	2.05509i	−0.00911372	+	0.146049i
$199$	−6.33207	−	1.25953i	−0.448869	−	0.0892855i	−0.0345205	−	0.999404i	$-0.510990\pi$
$199$	−6.33207	−	1.25953i	−0.448869	−	0.0892855i	−0.414348	+	0.910118i	$0.635990\pi$
$200$	0.546542	−	0.678858i	0.0386463	−	0.0480025i
$201$	1.97995	−	0.393837i	0.139655	−	0.0277791i
$202$	7.90734	−	10.3721i	0.556359	−	0.729777i
$203$	−3.80958	−	5.76738i	−0.267380	−	0.404791i
$204$	−13.5330	+	2.32140i	−0.947503	+	0.162530i
$205$	−7.27277	+	3.88738i	−0.507952	+	0.271506i
$206$	−20.2668	−	7.55557i	−1.41205	−	0.526421i
$207$	3.38307	−	8.16744i	0.235139	−	0.567677i
$208$	3.49211	+	0.531746i	0.242134	+	0.0368699i
$209$	0.230542	+	0.556579i	0.0159469	+	0.0384993i
$210$	7.80178	+	0.528378i	0.538374	+	0.0364616i
$211$	0.0453558	−	0.149518i	0.00312242	−	0.0102932i	−0.955365	−	0.295427i	$-0.904538\pi$
$211$	0.0453558	−	0.149518i	0.00312242	−	0.0102932i	0.958488	+	0.285134i	$0.0920381\pi$
$212$	3.13098	+	8.16351i	0.215037	+	0.560672i
$213$	−0.306924	−	0.0302294i	−0.0210301	−	0.00207128i
$214$	−5.43812	−	9.35141i	−0.371742	−	0.639249i
$215$	−2.19056	+	3.27840i	−0.149395	+	0.223585i
$216$	−11.4294	+	7.79301i	−0.777669	+	0.530247i
$217$	−2.77274	−	5.25425i	−0.188226	−	0.356681i
$218$	7.76781	+	22.6502i	0.526103	+	1.53406i
$219$	−2.44502	−	8.06016i	−0.165219	−	0.544655i
$220$	−3.02481	−	0.378983i	−0.203932	−	0.0255510i
$221$	−3.98636	+	4.85739i	−0.268152	+	0.326744i
$222$	3.99409	+	2.46639i	0.268066	+	0.165533i
$223$	−3.04114	+	3.04114i	−0.203650	+	0.203650i	−0.801562	−	0.597912i	$-0.795997\pi$
$223$	−3.04114	+	3.04114i	−0.203650	+	0.203650i	0.597912	+	0.801562i	$0.295997\pi$
$224$	−14.2214	−	4.66403i	−0.950204	−	0.311629i
$225$	0.450819	+	0.450819i	0.0300546	+	0.0300546i
$226$	2.59956	+	10.9932i	0.172920	+	0.731260i
$227$	17.2643	+	14.1685i	1.14588	+	0.940395i	0.998812	−	0.0487317i	$-0.0155179\pi$
$227$	17.2643	+	14.1685i	1.14588	+	0.940395i	0.147063	+	0.989127i	$0.453018\pi$
$228$	−0.817041	+	1.43583i	−0.0541098	+	0.0950902i
$229$	10.9890	−	3.33349i	0.726177	−	0.220283i	0.0945106	−	0.995524i	$-0.469871\pi$
$229$	10.9890	−	3.33349i	0.726177	−	0.220283i	0.631666	+	0.775241i	$0.282371\pi$
$230$	11.7564	+	5.75196i	0.775195	+	0.379273i
$231$	0.838356	+	1.58865i	0.0551598	+	0.104526i
$232$	−2.76353	+	6.85300i	−0.181435	+	0.449921i
$233$	−3.67874	−	2.45806i	−0.241002	−	0.161033i	0.429204	−	0.903208i	$-0.358794\pi$
$233$	−3.67874	−	2.45806i	−0.241002	−	0.161033i	−0.670206	+	0.742175i	$0.733794\pi$
$234$	−0.660992	+	2.49809i	−0.0432104	+	0.163305i
$235$	2.34629	−	23.8223i	0.153055	−	1.55400i
$236$	−6.00002	−	6.32634i	−0.390568	−	0.411810i
$237$	0.827573	+	0.251042i	0.0537567	+	0.0163069i
$238$	20.0552	−	17.5110i	1.29999	−	1.13507i
$239$	−21.4112	+	8.86880i	−1.38497	+	0.573675i	−0.945807	−	0.324730i	$-0.894727\pi$
$239$	−21.4112	+	8.86880i	−1.38497	+	0.573675i	−0.439168	+	0.898405i	$0.644727\pi$
$240$	−4.27006	−	7.18672i	−0.275631	−	0.463901i
$241$	−23.5293	−	9.74616i	−1.51566	−	0.627806i	−0.538941	−	0.842343i	$-0.681175\pi$
$241$	−23.5293	−	9.74616i	−1.51566	−	0.627806i	−0.976716	+	0.214538i	$0.931175\pi$
$242$	6.17351	+	13.5126i	0.396848	+	0.868624i
$243$	−7.59355	−	14.2065i	−0.487126	−	0.911349i
$244$	6.41425	+	1.45334i	0.410631	+	0.0930403i
$245$	−13.4472	+	7.00539i	−0.859108	+	0.447558i
$246$	−0.694159	−	5.14814i	−0.0442579	−	0.328233i
$247$	0.147494	+	0.741504i	0.00938484	+	0.0471808i
$248$	−2.94122	+	5.62909i	−0.186767	+	0.357447i
$249$	0.853596	−	4.29132i	0.0540945	−	0.271951i
$250$	−12.1916	+	10.7594i	−0.771062	+	0.680483i
$251$	−18.1217	−	9.68623i	−1.14383	−	0.611390i	−0.213076	−	0.977036i	$-0.568348\pi$
$251$	−18.1217	−	9.68623i	−1.14383	−	0.611390i	−0.930754	+	0.365646i	$0.880848\pi$
$252$	4.50905	−	9.97706i	0.284043	−	0.628496i
$253$	0.294692	+	2.99205i	0.0185271	+	0.188109i
$254$	14.0628	+	19.4955i	0.882378	+	1.22326i
$255$	14.8709			0.931249
$256$	4.52660	+	15.3463i	0.282912	+	0.959146i
$257$			6.82831i			0.425938i	0.977059	+	0.212969i	$0.0683133\pi$
$257$			6.82831i			0.425938i	−0.977059	+	0.212969i	$0.931687\pi$
$258$	−1.45304	−	2.01437i	−0.0904623	−	0.125409i
$259$	−9.10211	−	0.0482503i	−0.565578	−	0.00299813i
$260$	−3.63028	−	1.20703i	−0.225140	−	0.0748569i
$261$	−4.76723	−	2.54814i	−0.295084	−	0.157726i
$262$	−7.86874	−	8.91615i	−0.486132	−	0.550841i
$263$	17.6600	+	3.51280i	1.08897	+	0.216609i	0.706749	−	0.707464i	$-0.250161\pi$
$263$	17.6600	+	3.51280i	1.08897	+	0.216609i	0.382216	+	0.924073i	$0.375161\pi$
$264$	0.889295	−	1.70199i	0.0547323	−	0.104750i
$265$	−1.84738	−	9.28740i	−0.113484	−	0.570520i
$266$	−0.0978544	−	3.20181i	−0.00599984	−	0.196316i
$267$	−3.83610	+	3.14821i	−0.234766	+	0.192667i
$268$	4.08121	+	0.924717i	0.249299	+	0.0564861i
$269$	−18.4229	+	9.84725i	−1.12326	+	0.600397i	−0.925082	−	0.379768i	$-0.876004\pi$
$269$	−18.4229	+	9.84725i	−1.12326	+	0.600397i	−0.198182	+	0.980165i	$0.563504\pi$
$270$	13.6272	−	6.22584i	0.829322	−	0.378893i
$271$	−3.51475	+	8.48536i	−0.213506	+	0.515449i	−0.993957	−	0.109768i	$-0.964989\pi$
$271$	−3.51475	+	8.48536i	−0.213506	+	0.515449i	0.780451	+	0.625216i	$0.214989\pi$
$272$	−27.5826	−	7.02199i	−1.67244	−	0.425771i
$273$	0.642935	+	2.16064i	0.0389122	+	0.130768i
$274$	−12.3489	+	13.2678i	−0.746027	+	0.801536i
$275$	−0.207490	−	0.0629413i	−0.0125121	−	0.00379550i
$276$	−5.98205	+	5.67348i	−0.360077	+	0.341504i
$277$	−10.0369	−	0.988544i	−0.603056	−	0.0593959i	−0.208118	−	0.978104i	$-0.566734\pi$
$277$	−10.0369	−	0.988544i	−0.603056	−	0.0593959i	−0.394938	+	0.918708i	$0.629234\pi$
$278$	23.8264	+	6.30444i	1.42901	+	0.378115i
$279$	−3.86311	−	2.58125i	−0.231279	−	0.154535i
$280$	14.3265	+	7.58259i	0.856173	+	0.453147i
$281$	−4.48337	−	6.70984i	−0.267455	−	0.400275i	0.673296	−	0.739373i	$-0.264878\pi$
$281$	−4.48337	−	6.70984i	−0.267455	−	0.400275i	−0.940751	+	0.339098i	$0.889878\pi$
$282$	13.5448	+	6.62693i	0.806578	+	0.394628i
$283$	−0.684734	−	2.25727i	−0.0407032	−	0.134181i	0.934234	−	0.356661i	$-0.116085\pi$
$283$	−0.684734	−	2.25727i	−0.0407032	−	0.134181i	−0.974937	+	0.222480i	$0.928585\pi$
$284$	−0.555641	−	0.316180i	−0.0329712	−	0.0187619i
$285$	1.13505	−	1.38307i	0.0672348	−	0.0819258i
$286$	−0.202235	−	0.855229i	−0.0119584	−	0.0505708i
$287$	6.34869	+	7.82007i	0.374751	+	0.461604i
$288$	−11.5170	+	2.08705i	−0.678648	+	0.122980i
$289$	23.7814	−	23.7814i	1.39890	−	1.39890i
$290$	4.20474	−	6.80918i	0.246911	−	0.399849i
$291$	13.0594	+	10.7176i	0.765555	+	0.628275i
$292$	2.17059	−	17.3243i	0.127024	−	1.01383i
$293$	−6.53291	−	21.5361i	−0.381657	−	1.25815i	−0.911937	−	0.410331i	$-0.865413\pi$
$293$	−6.53291	−	21.5361i	−0.381657	−	1.25815i	0.530280	−	0.847823i	$-0.322087\pi$
$294$	−1.17590	−	9.47867i	−0.0685797	−	0.552807i
$295$	5.24631	+	7.85165i	0.305452	+	0.457141i
$296$	5.48179	+	8.03969i	0.318623	+	0.467297i
$297$	2.86158	+	1.91204i	0.166045	+	0.110948i
$298$	−4.38252	+	2.54857i	−0.253873	+	0.147634i
$299$	−0.369825	+	3.75490i	−0.0213875	+	0.217151i
$300$	−0.212921	−	0.555156i	−0.0122930	−	0.0320520i
$301$	4.43963	+	1.86659i	0.255896	+	0.107588i
$302$	−0.631000	−	17.5918i	−0.0363100	−	1.01229i
$303$	−3.40514	−	8.22074i	−0.195620	−	0.472269i
$304$	−2.75839	+	2.02936i	−0.158205	+	0.116392i
$305$	−6.58075	−	2.72584i	−0.376813	−	0.156081i
$306$	7.27333	−	19.5097i	0.415788	−	1.11530i
$307$	−28.4093	+	15.1851i	−1.62141	+	0.866660i	−0.625123	+	0.780526i	$0.714951\pi$
$307$	−28.4093	+	15.1851i	−1.62141	+	0.866660i	−0.996284	+	0.0861334i	$0.972549\pi$
$308$	0.247085	+	3.71533i	0.0140790	+	0.211701i
$309$	−11.4068	+	9.36134i	−0.648911	+	0.532548i
$310$	4.17030	−	5.47019i	0.236857	−	0.310686i
$311$	−1.38646	−	6.97019i	−0.0786187	−	0.395243i	−0.999979	−	0.00653248i	$-0.997921\pi$
$311$	−1.38646	−	6.97019i	−0.0786187	−	0.395243i	0.921360	−	0.388710i	$-0.127079\pi$
$312$	1.51128	−	1.87716i	0.0855594	−	0.106273i
$313$	−4.64430	+	23.3485i	−0.262511	+	1.31973i	0.594358	+	0.804201i	$0.297406\pi$
$313$	−4.64430	+	23.3485i	−0.262511	+	1.31973i	−0.856869	+	0.515533i	$0.827594\pi$
$314$	−0.113520	+	1.81917i	−0.00640630	+	0.102662i
$315$	−6.64001	+	9.82434i	−0.374122	+	0.553539i
$316$	1.35517	+	1.17353i	0.0762344	+	0.0660165i
$317$	30.3600	−	2.99020i	1.70519	−	0.167946i	0.802039	−	0.597272i	$-0.203749\pi$
$317$	30.3600	−	2.99020i	1.70519	−	0.167946i	0.903150	+	0.429326i	$0.141249\pi$
$318$	5.88837	+	0.953259i	0.330204	+	0.0534561i
$319$	1.83836			0.102928
$320$	−2.02191	−	17.2102i	−0.113028	−	0.962080i
$321$	−7.38022			−0.411924
$322$	4.17114	−	15.4327i	0.232448	−	0.860032i
$323$	−0.597102	−	6.06248i	−0.0332236	−	0.337325i
$324$	−0.213290	−	2.96935i	−0.0118494	−	0.164964i
$325$	−0.239977	−	0.128271i	−0.0133115	−	0.00711517i
$326$	13.9500	+	0.870510i	0.772622	+	0.0482131i
$327$	16.0224	+	3.18705i	0.886039	+	0.176244i
$328$	3.02898	−	10.3334i	0.167247	−	0.570566i
$329$	−29.1126	+	2.71160i	−1.60503	+	0.149495i
$330$	−1.26092	+	1.65395i	−0.0694111	+	0.0910468i
$331$	−10.9538	−	13.3473i	−0.602076	−	0.733632i	0.379397	−	0.925234i	$-0.376132\pi$
$331$	−10.9538	−	13.3473i	−0.602076	−	0.733632i	−0.981473	+	0.191603i	$0.938632\pi$
$332$	5.23670	−	7.40524i	0.287401	−	0.406415i
$333$	−6.27785	+	3.35558i	−0.344024	+	0.183885i
$334$	4.58451	−	12.2973i	0.250853	−	0.672879i
$335$	−4.18715	−	1.73437i	−0.228768	−	0.0947589i
$336$	−7.62812	+	6.78765i	−0.416148	+	0.370297i
$337$	10.6141	−	4.39650i	0.578186	−	0.239493i	−0.0743727	−	0.997231i	$-0.523695\pi$
$337$	10.6141	−	4.39650i	0.578186	−	0.239493i	0.652559	+	0.757738i	$0.273695\pi$
$338$	0.619487	+	17.2708i	0.0336956	+	0.939407i
$339$	7.37499	+	2.23718i	0.400555	+	0.121507i
$340$	28.1572	+	12.5461i	1.52704	+	0.680408i
$341$	1.57250	+	0.154877i	0.0851554	+	0.00838708i
$342$	−1.25935	−	2.16558i	−0.0680978	−	0.117101i
$343$	11.5200	+	14.5014i	0.622021	+	0.783001i
$344$	−1.05179	−	5.04000i	−0.0567088	−	0.271739i
$345$	7.42435	−	4.96079i	0.399714	−	0.267080i
$346$	0.620337	+	1.80884i	0.0333495	+	0.0972439i
$347$	−7.47769	−	24.6506i	−0.401423	−	1.32332i	−0.892046	−	0.451944i	$-0.850731\pi$
$347$	−7.47769	−	24.6506i	−0.401423	−	1.32332i	0.490623	−	0.871372i	$-0.336769\pi$
$348$	3.09386	+	3.98018i	0.165848	+	0.213360i
$349$	22.7381	+	18.6607i	1.21714	+	0.998884i	0.999740	+	0.0228020i	$0.00725874\pi$
$349$	22.7381	+	18.6607i	1.21714	+	0.998884i	0.217403	+	0.976082i	$0.430241\pi$
$350$	0.913146	+	0.703838i	0.0488097	+	0.0376217i
$351$	3.05402	+	3.05402i	0.163012	+	0.163012i
$352$	3.11975	−	2.47236i	0.166283	−	0.131777i
$353$	−4.10837	+	4.10837i	−0.218666	+	0.218666i	−0.807936	−	0.589270i	$-0.799415\pi$
$353$	−4.10837	+	4.10837i	−0.218666	+	0.218666i	0.589270	+	0.807936i	$0.299415\pi$
$354$	−5.78885	+	1.36888i	−0.307674	+	0.0727552i
$355$	0.535223	+	0.439246i	0.0284067	+	0.0233128i
$356$	−9.91952	+	2.72457i	−0.525733	+	0.144402i
$357$	−3.44914	−	17.8335i	−0.182548	−	0.943851i
$358$	−19.3397	−	9.46217i	−1.02213	−	0.500091i
$359$	6.52515	−	4.35997i	0.344384	−	0.230110i	−0.371334	−	0.928499i	$-0.621099\pi$
$359$	6.52515	−	4.35997i	0.344384	−	0.230110i	0.715718	+	0.698389i	$0.246099\pi$
$360$	12.6760	−	0.118983i	0.668082	−	0.00627093i
$361$	15.1885	+	10.1486i	0.799395	+	0.534139i
$362$	22.7964	+	6.03189i	1.19815	+	0.317029i
$363$	10.0866	+	0.993440i	0.529408	+	0.0521421i
$364$	−0.605502	+	4.63348i	−0.0317369	+	0.242861i
$365$	−5.48915	+	18.0953i	−0.287315	+	0.947151i
$366$	3.05700	−	3.28446i	0.159792	−	0.171681i
$367$	−11.2612	−	27.1870i	−0.587830	−	1.41915i	−0.885572	−	0.464501i	$-0.846234\pi$
$367$	−11.2612	−	27.1870i	−0.587830	−	1.41915i	0.297742	−	0.954646i	$-0.403766\pi$
$368$	−16.1133	+	5.69558i	−0.839962	+	0.296903i
$369$	7.27771	+	3.01453i	0.378862	+	0.156930i
$370$	−4.37941	−	9.58567i	−0.227675	−	0.498335i
$371$	−10.7092	+	4.36954i	−0.555995	+	0.226855i
$372$	2.31110	+	3.66521i	0.119825	+	0.190032i
$373$	−11.7082	−	14.2665i	−0.606228	−	0.738690i	0.375951	−	0.926639i	$-0.377316\pi$
$373$	−11.7082	−	14.2665i	−0.606228	−	0.738690i	−0.982179	+	0.187949i	$0.939816\pi$
$374$	0.946237	+	7.01765i	0.0489288	+	0.362874i
$375$	2.16422	+	10.8803i	0.111760	+	0.561854i
$376$	20.0554	+	23.9751i	1.03428	+	1.23642i
$377$	2.26273	+	0.450086i	0.116537	+	0.0231806i
$378$	−10.6269	−	14.8980i	−0.546588	−	0.766272i
$379$	−5.53870	+	10.3622i	−0.284504	+	0.532269i	−0.983060	−	0.183286i	$-0.941326\pi$
$379$	−5.53870	+	10.3622i	−0.284504	+	0.532269i	0.698556	+	0.715556i	$0.253826\pi$
$380$	3.31602	−	1.66116i	0.170108	−	0.0852155i
$381$	16.3208	−	1.60746i	0.836140	−	0.0823526i
$382$	3.35924	−	2.42314i	0.171873	−	0.123978i
$383$	−17.2560			−0.881742			−0.440871	−	0.897571i	$-0.645330\pi$
$383$	−17.2560			−0.881742			−0.440871	+	0.897571i	$0.645330\pi$
$384$	10.6032	+	2.59364i	0.541092	+	0.132356i
$385$	0.416545	−	4.01116i	0.0212291	−	0.204428i
$386$	−7.50784	−	10.4082i	−0.382139	−	0.529765i
$387$	3.74825	−	0.369170i	0.190534	−	0.0187660i
$388$	15.6852	+	31.3110i	0.796296	+	1.58958i
$389$	−18.6822	−	9.98585i	−0.947226	−	0.506303i	−0.0759582	−	0.997111i	$-0.524202\pi$
$389$	−18.6822	−	9.98585i	−0.947226	−	0.506303i	−0.871268	+	0.490808i	$0.836702\pi$
$390$	−1.95693	+	1.72704i	−0.0990928	+	0.0874520i
$391$	5.93112	−	29.8177i	0.299950	−	1.50795i
$392$	5.77037	−	18.9395i	0.291448	−	0.956587i
$393$	−7.95714	+	1.58277i	−0.401385	+	0.0798404i
$394$	2.53487	+	18.7996i	0.127705	+	0.947108i
$395$	−1.23169	−	1.50082i	−0.0619732	−	0.0755146i
$396$	1.55317	+	2.46319i	0.0780497	+	0.123780i
$397$	27.7255	−	14.8196i	1.39150	−	0.743773i	0.406069	−	0.913842i	$-0.366899\pi$
$397$	27.7255	−	14.8196i	1.39150	−	0.743773i	0.985432	+	0.170070i	$0.0543993\pi$
$398$	−8.30467	+	3.79416i	−0.416275	+	0.190184i
$399$	−1.92188	−	1.04040i	−0.0962141	−	0.0520851i
$400$	0.0652130	−	1.23080i	0.00326065	−	0.0615398i
$401$	−9.03512	−	21.8127i	−0.451192	−	1.08927i	−0.971869	−	0.235521i	$-0.924320\pi$
$401$	−9.03512	−	21.8127i	−0.451192	−	1.08927i	0.520677	−	0.853754i	$-0.325680\pi$
$402$	1.94508	−	2.08981i	0.0970118	−	0.104230i
$403$	1.89758	+	0.575624i	0.0945250	+	0.0286739i
$404$	0.488131	−	18.4384i	0.0242854	−	0.917344i
$405$	−0.316027	+	3.20867i	−0.0157035	+	0.159440i
$406$	−9.14101	−	3.46312i	−0.453661	−	0.171872i
$407$	1.34498	−	2.01290i	0.0666681	−	0.0997758i
$408$	−13.6012	+	13.8590i	−0.673361	+	0.686122i
$409$	7.01969	−	4.69041i	0.347101	−	0.231926i	−0.369783	−	0.929118i	$-0.620568\pi$
$409$	7.01969	−	4.69041i	0.347101	−	0.231926i	0.716884	+	0.697193i	$0.245568\pi$
$410$	−5.12536	+	10.4757i	−0.253124	+	0.517358i
$411$	3.58961	+	11.8334i	0.177063	+	0.583697i
$412$	−29.4961	+	8.10162i	−1.45317	+	0.399138i
$413$	8.19909	−	8.11262i	0.403451	−	0.399196i
$414$	−2.87703	−	12.1666i	−0.141398	−	0.597958i
$415$	−6.94583	+	6.94583i	−0.340957	+	0.340957i
$416$	4.44523	−	2.27928i	0.217946	−	0.111751i
$417$	11.8898	−	11.8898i	0.582246	−	0.582246i
$418$	0.724902	+	0.447634i	0.0354561	+	0.0218945i
$419$	−1.97070	+	2.40131i	−0.0962750	+	0.117311i	−0.818919	−	0.573909i	$-0.805426\pi$
$419$	−1.97070	+	2.40131i	−0.0962750	+	0.117311i	0.722644	+	0.691220i	$0.242926\pi$
$420$	9.38545	−	5.84870i	0.457963	−	0.285388i
$421$	−12.5521	+	3.80764i	−0.611752	+	0.185573i	−0.580932	−	0.813952i	$-0.697312\pi$
$421$	−12.5521	+	3.80764i	−0.611752	+	0.185573i	−0.0308197	+	0.999525i	$0.509812\pi$
$422$	−0.0716812	−	0.209015i	−0.00348939	−	0.0101747i
$423$	−19.0123	+	12.7036i	−0.924412	+	0.617672i
$424$	10.3451	+	6.77279i	0.502403	+	0.328916i
$425$	1.82303	+	1.21811i	0.0884299	+	0.0590869i
$426$	−0.377038	+	0.219259i	−0.0182676	+	0.0106231i
$427$	−1.74256	+	8.52405i	−0.0843285	+	0.412508i
$428$	−13.9741	−	6.22648i	−0.675463	−	0.300968i
$429$	−0.573744	−	0.174043i	−0.0277006	−	0.00840289i
$430$	0.199881	+	5.57252i	0.00963911	+	0.268731i
$431$	−7.37163	−	17.7967i	−0.355079	−	0.857237i	−0.995977	−	0.0896106i	$-0.971438\pi$
$431$	−7.37163	−	17.7967i	−0.355079	−	0.857237i	0.640898	−	0.767626i	$-0.278562\pi$
$432$	−6.66149	+	18.3942i	−0.320501	+	0.884992i
$433$	5.74927	−	13.8800i	0.276292	−	0.667029i	−0.723435	−	0.690393i	$-0.757438\pi$
$433$	5.74927	−	13.8800i	0.276292	−	0.667029i	0.999727	+	0.0233641i	$0.00743771\pi$
$434$	−7.52726	−	3.73238i	−0.361320	−	0.179160i
$435$	−2.57374	−	4.81512i	−0.123401	−	0.230868i
$436$	27.6487	+	19.5521i	1.32413	+	0.936377i
$437$	−2.32050	−	2.82754i	−0.111005	−	0.135259i
$438$	−9.47283	−	7.22178i	−0.452629	−	0.345070i
$439$	1.54060	+	7.74512i	0.0735288	+	0.369654i	0.999977	−	0.00676772i	$-0.00215425\pi$
$439$	1.54060	+	7.74512i	0.0735288	+	0.369654i	−0.926448	+	0.376422i	$0.877154\pi$
$440$	−3.78287	+	2.06787i	−0.180341	+	0.0985817i
$441$	13.3217	+	5.68423i	0.634367	+	0.270678i
$442$	−0.553461	+	8.86929i	−0.0263254	+	0.421869i
$443$	−26.8856	−	14.3706i	−1.27737	−	0.682770i	−0.313615	−	0.949550i	$-0.601540\pi$
$443$	−26.8856	−	14.3706i	−1.27737	−	0.682770i	−0.963757	+	0.266780i	$0.914040\pi$
$444$	6.62159	−	0.475632i	0.314247	−	0.0225725i
$445$	11.0874	−	1.09202i	0.525594	−	0.0517665i
$446$	−0.971995	+	6.00411i	−0.0460253	+	0.284303i
$447$			3.45873i			0.163592i
$448$	−20.1700	+	6.41646i	−0.952943	+	0.303149i
$449$		−	13.3732i		−	0.631118i	−0.948906	−	0.315559i	$-0.897808\pi$
$449$		−	13.3732i		−	0.631118i	0.948906	−	0.315559i	$-0.102192\pi$
$450$	0.890050	+	0.144089i	0.0419574	+	0.00679241i
$451$	−2.66611	+	0.262589i	−0.125542	+	0.0123648i
$452$	12.0767	+	10.4580i	0.568042	+	0.491905i
$453$	−10.5914	−	5.66124i	−0.497629	−	0.265988i
$454$	31.5236	+	1.96713i	1.47948	+	0.0923222i
$455$	1.49475	−	4.83512i	0.0700751	−	0.226674i
$456$	0.250811	+	2.32280i	0.0117453	+	0.108775i
$457$	−4.66305	−	23.4427i	−0.218128	−	1.09660i	−0.922270	−	0.386545i	$-0.873668\pi$
$457$	−4.66305	−	23.4427i	−0.218128	−	1.09660i	0.704142	−	0.710059i	$-0.251332\pi$
$458$	9.84602	−	12.9150i	0.460074	−	0.603481i
$459$	−22.0776	−	26.9017i	−1.03050	−	1.25566i
$460$	18.2429	−	3.12931i	0.850581	−	0.145905i
$461$	18.4937	+	34.5992i	0.861337	+	1.61145i	0.789269	+	0.614048i	$0.210460\pi$
$461$	18.4937	+	34.5992i	0.861337	+	1.61145i	0.0720680	+	0.997400i	$0.477040\pi$
$462$	2.27591	+	1.12851i	0.105885	+	0.0525030i
$463$	−4.23832	+	10.2322i	−0.196972	+	0.475531i	−0.991246	−	0.132028i	$-0.957851\pi$
$463$	−4.23832	+	10.2322i	−0.196972	+	0.475531i	0.794274	+	0.607559i	$0.207851\pi$
$464$	2.50011	+	10.1465i	0.116065	+	0.471038i
$465$	−1.79586	−	4.33559i	−0.0832809	−	0.201058i
$466$	−6.25301	+	0.224289i	−0.289665	+	0.0103900i
$467$	−15.8281	−	4.80141i	−0.732438	−	0.222183i	−0.0980327	−	0.995183i	$-0.531255\pi$
$467$	−15.8281	−	4.80141i	−0.732438	−	0.222183i	−0.634405	+	0.773001i	$0.718755\pi$
$468$	1.30864	+	3.41207i	0.0604921	+	0.157723i
$469$	−1.10874	+	5.42361i	−0.0511970	+	0.250439i
$470$	−17.0181	−	29.2643i	−0.784985	−	1.34986i
$471$	1.03395	+	0.690864i	0.0476420	+	0.0318334i
$472$	−12.1158	−	2.29198i	−0.557674	−	0.105497i
$473$	−1.06504	+	0.711637i	−0.0489706	+	0.0327211i
$474$	1.15689	−	0.396751i	0.0531376	−	0.0182234i
$475$	0.252437	−	0.0765761i	0.0115826	−	0.00351355i
$476$	8.51486	−	36.6768i	0.390278	−	1.68108i
$477$	−5.73836	+	6.99222i	−0.262742	+	0.320152i
$478$	−17.2202	+	27.8865i	−0.787632	+	1.27550i
$479$	−12.6562	+	12.6562i	−0.578276	+	0.578276i	−0.934428	−	0.356152i	$-0.884088\pi$
$479$	−12.6562	+	12.6562i	−0.578276	+	0.578276i	0.356152	+	0.934428i	$0.384088\pi$
$480$	−10.8434	−	4.71006i	−0.494933	−	0.214984i
$481$	2.14827	−	2.14827i	0.0979529	−	0.0979529i
$482$	−35.0505	+	8.28834i	−1.59651	+	0.377523i
$483$	−7.67112	−	7.75289i	−0.349048	−	0.352768i
$484$	18.2603	+	10.3908i	0.830013	+	0.472308i
$485$	−11.0099	−	36.2948i	−0.499934	−	1.64806i
$486$	−20.4631	−	10.0118i	−0.928225	−	0.454145i
$487$	27.8395	−	18.6018i	1.26153	−	0.842926i	0.268788	−	0.963199i	$-0.413377\pi$
$487$	27.8395	−	18.6018i	1.26153	−	0.842926i	0.992741	+	0.120273i	$0.0383770\pi$
$488$	8.55927	−	3.63986i	0.387460	−	0.164769i
$489$	5.29778	−	7.92870i	0.239574	−	0.358548i
$490$	−9.62746	+	19.1603i	−0.434924	+	0.865572i
$491$	2.96312	−	30.0851i	0.133724	−	1.35772i	−0.660834	−	0.750532i	$-0.729797\pi$
$491$	2.96312	−	30.0851i	0.133724	−	1.35772i	0.794558	−	0.607188i	$-0.207703\pi$
$492$	−5.05543	−	5.33038i	−0.227917	−	0.240312i
$493$	−17.7890	−	5.39623i	−0.801175	−	0.243034i
$494$	0.782646	+	0.728445i	0.0352129	+	0.0327743i
$495$	−1.20690	−	2.91372i	−0.0542462	−	0.130962i
$496$	1.28373	+	8.88970i	0.0576410	+	0.399159i
$497$	0.402616	−	0.743732i	0.0180598	−	0.0333609i
$498$	−2.57134	−	5.62817i	−0.115225	−	0.252204i
$499$	−30.0202	+	16.0461i	−1.34389	+	0.718324i	−0.977260	−	0.212043i	$-0.931988\pi$
$499$	−30.0202	+	16.0461i	−1.34389	+	0.718324i	−0.366629	+	0.930367i	$0.619488\pi$
$500$	−5.08152	+	22.4271i	−0.227252	+	1.00297i
$501$	−5.68020	−	6.92134i	−0.253773	−	0.309223i
$502$	−28.7986	+	3.88311i	−1.28534	+	0.173312i
$503$	13.5305	−	2.69138i	0.603294	−	0.120003i	0.116013	−	0.993248i	$-0.462989\pi$
$503$	13.5305	−	2.69138i	0.603294	−	0.120003i	0.487281	+	0.873245i	$0.337989\pi$
$504$	−3.08274	−	15.1738i	−0.137316	−	0.675893i
$505$	−3.89721	+	19.5926i	−0.173424	+	0.871859i
$506$	2.81344	+	3.18794i	0.125073	+	0.141721i
$507$	10.3982	+	5.55794i	0.461799	+	0.246837i
$508$	32.2588	+	10.7257i	1.43125	+	0.475878i
$509$	16.9387	−	1.66832i	0.750794	−	0.0739468i	0.284621	−	0.958640i	$-0.408132\pi$
$509$	16.9387	−	1.66832i	0.750794	−	0.0739468i	0.466173	+	0.884693i	$0.345632\pi$
$510$	17.0562	−	12.3033i	0.755262	−	0.544797i
$511$	22.9735	+	2.38572i	1.01629	+	0.105538i
$512$	17.8884	+	13.8565i	0.790565	+	0.612378i
$513$	−4.18713			−0.184866
$514$	5.64933	+	7.83177i	0.249181	+	0.345444i
$515$	32.9690	−	3.24716i	1.45279	−	0.143087i
$516$	−3.33315	−	1.10824i	−0.146734	−	0.0487875i
$517$	3.66582	−	6.85826i	0.161222	−	0.301626i
$518$	−10.4796	+	7.47520i	−0.460449	+	0.328442i
$519$	1.27955	+	0.254517i	0.0561658	+	0.0111721i
$520$	−5.16239	+	1.61906i	−0.226386	+	0.0710005i
$521$	4.09299	+	20.5769i	0.179317	+	0.901488i	0.960732	+	0.277477i	$0.0894981\pi$
$521$	4.09299	+	20.5769i	0.179317	+	0.901488i	−0.781415	+	0.624011i	$0.785502\pi$
$522$	−7.57598	+	1.02152i	−0.331592	+	0.0447107i
$523$	−0.436364	−	0.531711i	−0.0190809	−	0.0232501i	0.763383	−	0.645947i	$-0.223537\pi$
$523$	−0.436364	−	0.531711i	−0.0190809	−	0.0232501i	−0.782463	+	0.622696i	$0.786037\pi$
$524$	−16.4018	−	3.71630i	−0.716515	−	0.162347i
$525$	0.728277	−	0.297149i	0.0317846	−	0.0129686i
$526$	23.1616	−	10.5818i	1.00989	−	0.461390i
$527$	−14.7617	−	6.11450i	−0.643030	−	0.266352i
$528$	−0.388143	−	2.68786i	−0.0168917	−	0.116974i
$529$	1.81591	+	4.38399i	0.0789525	+	0.190608i
$530$	−9.80270	−	9.12383i	−0.425802	−	0.396314i
$531$	2.61847	−	8.63195i	0.113632	−	0.374595i
$532$	−2.76122	−	3.59137i	−0.119714	−	0.155706i
$533$	−3.34585	−	0.329537i	−0.144925	−	0.0142739i
$534$	−1.79520	+	6.78462i	−0.0776859	+	0.293599i
$535$	13.7765	+	9.20515i	0.595609	+	0.397973i
$536$	5.44602	−	2.31594i	0.235232	−	0.100033i
$537$	−12.2133	+	8.16067i	−0.527043	+	0.352159i
$538$	−12.9832	+	26.5364i	−0.559747	+	1.14406i
$539$	−4.90690	+	0.430814i	−0.211355	+	0.0185565i
$540$	10.4788	−	18.4151i	0.450938	−	0.792458i
$541$	14.0689	+	11.5461i	0.604871	+	0.496404i	0.886259	−	0.463189i	$-0.153295\pi$
$541$	14.0689	+	11.5461i	0.604871	+	0.496404i	−0.281389	+	0.959594i	$0.590795\pi$
$542$	2.98902	+	12.6402i	0.128389	+	0.542944i
$543$	11.3758	−	11.3758i	0.488181	−	0.488181i
$544$	−37.4457	+	14.7663i	−1.60547	+	0.633101i
$545$	−25.9334	−	25.9334i	−1.11087	−	1.11087i
$546$	2.52500	+	1.94623i	0.108060	+	0.0832910i
$547$	4.82638	+	3.96090i	0.206361	+	0.169356i	0.731897	−	0.681415i	$-0.238635\pi$
$547$	4.82638	+	3.96090i	0.206361	+	0.169356i	−0.525536	+	0.850771i	$0.676135\pi$
$548$	−3.18671	+	25.4343i	−0.136130	+	1.08650i
$549$	1.97512	+	6.51110i	0.0842961	+	0.277887i
$550$	−0.290056	+	0.0994737i	−0.0123680	+	0.00424157i
$551$	−1.85966	+	1.24259i	−0.0792244	+	0.0529360i
$552$	−2.16724	+	11.4564i	−0.0922440	+	0.487618i
$553$	−1.51415	+	1.82518i	−0.0643882	+	0.0776146i
$554$	−12.3297	+	7.17008i	−0.523839	+	0.304628i
$555$	−7.15528	−	0.704733i	−0.303725	−	0.0299143i
$556$	32.5438	−	12.4817i	1.38016	−	0.529340i
$557$	−6.52778	−	1.98018i	−0.276591	−	0.0839029i	0.148942	−	0.988846i	$-0.452413\pi$
$557$	−6.52778	−	1.98018i	−0.276591	−	0.0839029i	−0.425533	+	0.904943i	$0.639913\pi$
$558$	−6.56639	+	0.235530i	−0.277978	+	0.00997078i
$559$	−1.48513	+	0.615160i	−0.0628142	+	0.0260185i
$560$	22.7053	−	3.15600i	0.959473	−	0.133365i
$561$	4.46329	+	1.84876i	0.188440	+	0.0780545i
$562$	−10.6935	−	3.98661i	−0.451080	−	0.168165i
$563$	8.53953	−	4.56447i	0.359898	−	0.192370i	−0.281530	−	0.959552i	$-0.590842\pi$
$563$	8.53953	−	4.56447i	0.359898	−	0.192370i	0.641429	+	0.767183i	$0.278342\pi$
$564$	21.0180	−	3.60533i	0.885016	−	0.151812i
$565$	−10.9763	−	13.3747i	−0.461778	−	0.562678i
$566$	−2.65289	−	2.02248i	−0.111509	−	0.0850110i
$567$	3.92123	−	0.365230i	0.164676	−	0.0153382i
$568$	−0.898885	+	0.0970595i	−0.0377164	+	0.00407253i
$569$	29.1859	+	5.80544i	1.22354	+	0.243377i	0.764255	−	0.644914i	$-0.223107\pi$
$569$	29.1859	+	5.80544i	1.22354	+	0.243377i	0.459282	+	0.888290i	$0.348107\pi$
$570$	0.157589	−	2.52539i	0.00660069	−	0.105777i
$571$	9.57813	+	5.11962i	0.400832	+	0.214249i	0.659480	−	0.751722i	$-0.270777\pi$
$571$	9.57813	+	5.11962i	0.400832	+	0.214249i	−0.258647	+	0.965972i	$0.583277\pi$
$572$	−0.939520	−	0.813593i	−0.0392833	−	0.0340180i
$573$	−0.276979	−	2.81221i	−0.0115710	−	0.117482i
$574$	13.7515	+	3.71675i	0.573978	+	0.155134i
$575$	1.31651			0.0549022
$576$	−11.4828	+	11.9223i	−0.478452	+	0.496761i
$577$	26.5399			1.10487			0.552435	−	0.833556i	$-0.313699\pi$
$577$	26.5399			1.10487			0.552435	+	0.833556i	$0.313699\pi$
$578$	7.60089	−	46.9515i	0.316155	−	1.95292i
$579$	−8.71335	+	0.858190i	−0.362114	+	0.0356651i
$580$	−0.810864	−	11.2886i	−0.0336693	−	0.468733i
$581$	9.94064	+	6.71862i	0.412407	+	0.278735i
$582$	23.8456	+	1.48801i	0.988433	+	0.0616801i
$583$	0.600150	−	3.01716i	0.0248557	−	0.124958i
$584$	−11.8435	−	21.6660i	−0.490088	−	0.896546i
$585$	−0.772141	−	3.88181i	−0.0319241	−	0.160493i
$586$	−25.3107	−	19.2960i	−1.04557	−	0.797112i
$587$	34.8207	−	28.5766i	1.43720	−	1.17948i	0.484805	−	0.874622i	$-0.338891\pi$
$587$	34.8207	−	28.5766i	1.43720	−	1.17948i	0.952397	−	0.304859i	$-0.0986095\pi$
$588$	−9.19079	−	9.89875i	−0.379022	−	0.408217i
$589$	−1.69540	+	0.906211i	−0.0698578	+	0.0373398i
$590$	12.5133	+	4.66502i	0.515163	+	0.192056i
$591$	11.9567	+	4.95262i	0.491833	+	0.203724i
$592$	12.9389	+	4.68586i	0.531787	+	0.192588i
$593$	12.9130	+	31.1748i	0.530275	+	1.28020i	0.931341	+	0.364147i	$0.118640\pi$
$593$	12.9130	+	31.1748i	0.530275	+	1.28020i	−0.401067	+	0.916049i	$0.631360\pi$
$594$	4.86401	−	0.174467i	0.199573	−	0.00715848i
$595$	−15.8049	+	37.5914i	−0.647936	+	1.54110i
$596$	−2.91803	+	6.54893i	−0.119527	+	0.268255i
$597$	−0.610555	+	6.19907i	−0.0249883	+	0.253711i
$598$	2.68240	+	4.61267i	0.109692	+	0.188626i
$599$	−14.4064	−	9.62602i	−0.588628	−	0.393309i	0.225287	−	0.974292i	$-0.427668\pi$
$599$	−14.4064	−	9.62602i	−0.588628	−	0.393309i	−0.813915	+	0.580984i	$0.802668\pi$
$600$	−0.703515	−	0.460581i	−0.0287209	−	0.0188031i
$601$	4.80146	+	7.18589i	0.195856	+	0.293118i	0.916379	−	0.400312i	$-0.131098\pi$
$601$	4.80146	+	7.18589i	0.195856	+	0.293118i	−0.720523	+	0.693431i	$0.756098\pi$
$602$	6.63636	−	1.53219i	0.270478	−	0.0624474i
$603$	1.25671	+	4.14283i	0.0511773	+	0.168709i
$604$	−15.2781	−	19.6550i	−0.621658	−	0.799749i
$605$	−17.5893	−	14.4351i	−0.715105	−	0.586871i
$606$	−10.7069	−	6.61162i	−0.434938	−	0.268579i
$607$	22.2171	−	22.2171i	0.901764	−	0.901764i	−0.0938249	−	0.995589i	$-0.529909\pi$
$607$	22.2171	−	22.2171i	0.901764	−	0.901764i	0.995589	+	0.0938249i	$0.0299094\pi$
$608$	−1.48478	+	4.60972i	−0.0602159	+	0.186949i
$609$	−5.17748	+	4.20331i	−0.209802	+	0.170327i
$610$	−9.80303	+	2.31811i	−0.396913	+	0.0938575i
$611$	6.19115	−	7.54394i	0.250467	−	0.305195i
$612$	−7.79898	−	28.3943i	−0.315255	−	1.14777i
$613$	−8.62721	−	28.4401i	−0.348450	−	1.14868i	−0.939644	−	0.342155i	$-0.888843\pi$
$613$	−8.62721	−	28.4401i	−0.348450	−	1.14868i	0.591194	−	0.806529i	$-0.298657\pi$
$614$	−20.0210	+	40.9208i	−0.807982	+	1.65143i
$615$	4.42038	+	6.61557i	0.178247	+	0.266765i
$616$	3.35724	+	4.05690i	0.135267	+	0.163457i
$617$	−13.3095	−	8.89312i	−0.535820	−	0.358024i	0.258030	−	0.966137i	$-0.416927\pi$
$617$	−13.3095	−	8.89312i	−0.535820	−	0.358024i	−0.793850	+	0.608113i	$0.791927\pi$
$618$	−5.33811	+	20.1744i	−0.214730	+	0.811532i
$619$	−24.9120	−	2.45361i	−1.00130	−	0.0986191i	−0.415937	−	0.909393i	$-0.636546\pi$
$619$	−24.9120	−	2.45361i	−1.00130	−	0.0986191i	−0.585359	+	0.810774i	$0.699046\pi$
$620$	0.257438	−	9.72433i	0.0103390	−	0.390538i
$621$	−19.9966	−	6.06589i	−0.802434	−	0.243416i
$622$	−7.35692	−	6.84742i	−0.294986	−	0.274557i
$623$	−3.88119	−	13.0431i	−0.155496	−	0.522559i
$624$	0.180325	−	3.40336i	0.00721877	−	0.136243i
$625$	8.94117	−	21.5859i	0.357647	−	0.863436i
$626$	13.9903	+	30.6221i	0.559166	+	1.22390i
$627$	0.512615	−	0.273999i	0.0204719	−	0.0109425i
$628$	1.37487	+	2.18043i	0.0548634	+	0.0870087i
$629$	−18.9233	+	15.5299i	−0.754521	+	0.619220i
$630$	0.512273	+	16.7616i	0.0204094	+	0.667800i
$631$	9.26084	+	46.5574i	0.368668	+	1.85342i	0.505501	+	0.862826i	$0.331308\pi$
$631$	9.26084	+	46.5574i	0.368668	+	1.85342i	−0.136833	+	0.990594i	$0.543692\pi$
$632$	2.52524	+	0.224803i	0.100448	+	0.00894219i
$633$	−0.147854	−	0.0294100i	−0.00587667	−	0.00116894i
$634$	32.3477	−	28.5477i	1.28469	−	1.13377i
$635$	−32.4706	−	17.3559i	−1.28856	−	0.688747i
$636$	7.54237	−	3.77834i	0.299075	−	0.149821i
$637$	−6.14510	−	0.671093i	−0.243478	−	0.0265897i
$638$	2.10852	−	1.52095i	0.0834771	−	0.0602150i
$639$		−	0.661391i		−	0.0261642i
$640$	−16.5578	−	18.0665i	−0.654503	−	0.714143i
$641$	3.21072			0.126816			0.0634079	−	0.997988i	$-0.479803\pi$
$641$	3.21072			0.126816			0.0634079	+	0.997988i	$0.479803\pi$
$642$	−8.46479	+	6.10596i	−0.334079	+	0.240983i
$643$	−4.17695	−	42.4092i	−0.164723	−	1.67246i	−0.621911	−	0.783088i	$-0.713644\pi$
$643$	−4.17695	−	42.4092i	−0.164723	−	1.67246i	0.457189	−	0.889370i	$-0.348856\pi$
$644$	−7.98401	−	21.1516i	−0.314614	−	0.833490i
$645$	3.35503	+	1.79330i	0.132104	+	0.0706111i
$646$	−5.70058	−	6.45939i	−0.224286	−	0.254141i
$647$	−2.77721	+	13.9620i	−0.109183	+	0.548902i	0.887011	+	0.461747i	$0.152777\pi$
$647$	−2.77721	+	13.9620i	−0.109183	+	0.548902i	−0.996195	+	0.0871544i	$0.972223\pi$
$648$	−2.70130	−	3.22925i	−0.106117	−	0.126857i
$649$	0.598487	+	3.00880i	0.0234927	+	0.118106i
$650$	−0.381367	+	0.0514223i	−0.0149584	+	0.00201695i
$651$	−4.78282	+	3.15924i	−0.187454	+	0.123820i
$652$	16.7203	−	10.5430i	0.654817	−	0.412896i
$653$	−3.27910	−	6.13476i	−0.128321	−	0.240072i	0.809554	−	0.587046i	$-0.199709\pi$
$653$	−3.27910	−	6.13476i	−0.128321	−	0.240072i	−0.937875	+	0.346974i	$0.887209\pi$
$654$	21.0137	−	9.60055i	0.821702	−	0.375411i
$655$	16.8275	+	6.97020i	0.657506	+	0.272348i
$656$	−5.07512	−	14.3579i	−0.198150	−	0.560583i
$657$	16.6880	−	6.91242i	0.651063	−	0.269679i
$658$	−31.1474	+	27.1961i	−1.21425	+	1.06021i
$659$	12.1395	+	3.68248i	0.472888	+	0.143449i	0.517728	−	0.855545i	$-0.326778\pi$
$659$	12.1395	+	3.68248i	0.472888	+	0.143449i	−0.0448400	+	0.998994i	$0.514278\pi$
$660$	−0.0778381	+	2.94021i	−0.00302984	+	0.114448i
$661$	−2.33145	+	23.6716i	−0.0906828	+	0.920717i	0.836964	+	0.547258i	$0.184328\pi$
$661$	−2.33145	+	23.6716i	−0.0906828	+	0.920717i	−0.927647	+	0.373459i	$0.878172\pi$
$662$	−23.6063	−	6.24618i	−0.917483	−	0.242765i
$663$	5.04098	+	3.36827i	0.195775	+	0.130813i
$664$	−0.120391	−	12.8260i	−0.00467208	−	0.497746i
$665$	2.28986	+	4.33919i	0.0887968	+	0.168267i
$666$	−4.42421	+	9.04263i	−0.171435	+	0.350395i
$667$	−10.6814	+	3.24016i	−0.413585	+	0.125460i
$668$	−4.91584	−	17.8974i	−0.190200	−	0.692473i
$669$	3.20765	+	2.63245i	0.124015	+	0.101777i
$670$	−6.23739	+	1.47495i	−0.240971	+	0.0569822i
$671$	−1.63625	−	1.63625i	−0.0631667	−	0.0631667i
$672$	−3.13342	+	14.0962i	−0.120874	+	0.543772i
$673$	31.1863	−	31.1863i	1.20214	−	1.20214i	0.228630	−	0.973513i	$-0.426575\pi$
$673$	31.1863	−	31.1863i	1.20214	−	1.20214i	0.973513	−	0.228630i	$-0.0734245\pi$
$674$	8.53649	−	13.8241i	0.328813	−	0.532483i
$675$	0.956038	−	1.16494i	0.0367979	−	0.0448384i
$676$	14.9994	+	19.2963i	0.576898	+	0.742166i
$677$	−6.27655	−	20.6910i	−0.241228	−	0.795221i	−0.991039	−	0.133570i	$-0.957356\pi$
$677$	−6.27655	−	20.6910i	−0.241228	−	0.795221i	0.749812	−	0.661651i	$-0.230144\pi$
$678$	10.3097	−	3.53568i	0.395942	−	0.135787i
$679$	−40.9721	+	21.6216i	−1.57237	+	0.829761i
$680$	42.6750	−	8.90578i	1.63651	−	0.341521i
$681$	11.9717	−	17.9169i	0.458755	−	0.686576i
$682$	1.93172	−	1.12335i	0.0739694	−	0.0430154i
$683$	20.6701	+	2.03582i	0.790918	+	0.0778986i	0.485405	−	0.874289i	$-0.338672\pi$
$683$	20.6701	+	2.03582i	0.790918	+	0.0778986i	0.305513	+	0.952188i	$0.401172\pi$
$684$	−3.23609	−	1.44192i	−0.123735	−	0.0551330i
$685$	8.05879	−	26.5663i	0.307911	−	1.01505i
$686$	25.2105	+	7.10150i	0.962541	+	0.271136i
$687$	−4.24000	−	10.2363i	−0.161766	−	0.390538i
$688$	−5.37616	−	4.91047i	−0.204964	−	0.187210i
$689$	1.47738	−	3.56671i	0.0562837	−	0.135881i
$690$	4.41114	−	11.8323i	0.167929	−	0.450447i
$691$	31.3849	−	16.7756i	1.19394	−	0.638174i	0.249985	−	0.968250i	$-0.419574\pi$
$691$	31.3849	−	16.7756i	1.19394	−	0.638174i	0.943954	+	0.330076i	$0.107074\pi$
$692$	2.20803	+	1.56143i	0.0839366	+	0.0593567i
$693$	−3.21428	+	2.12316i	−0.122100	+	0.0806520i
$694$	−28.9711	−	22.0866i	−1.09973	−	0.838396i
$695$	−37.0242	+	7.36457i	−1.40441	+	0.279354i
$696$	6.84148	+	2.00541i	0.259326	+	0.0760150i
$697$	26.5695	+	5.28500i	1.00639	+	0.200184i
$698$	41.5184	+	2.59083i	1.57149	+	0.0980642i
$699$	−2.01229	+	3.76473i	−0.0761118	+	0.142395i
$700$	1.62965	+	0.0517889i	0.0615950	+	0.00195743i
$701$	39.4100	−	3.88154i	1.48849	−	0.146604i	0.679176	−	0.733975i	$-0.262337\pi$
$701$	39.4100	−	3.88154i	1.48849	−	0.146604i	0.809317	+	0.587372i	$0.199837\pi$
$702$	6.02955	+	0.976113i	0.227571	+	0.0368410i
$703$			2.94533i			0.111085i
$704$	1.53274	−	5.41679i	0.0577672	−	0.204153i
$705$	−23.0957			−0.869834
$706$	−1.31310	+	8.11114i	−0.0494191	+	0.305267i
$707$	24.3999	+	0.129344i	0.917652	+	0.00486447i
$708$	−5.50703	+	6.35940i	−0.206967	+	0.239001i
$709$	7.64359	−	14.3001i	0.287061	−	0.537053i	−0.696516	−	0.717541i	$-0.745268\pi$
$709$	7.64359	−	14.3001i	0.287061	−	0.537053i	0.983577	+	0.180488i	$0.0577676\pi$
$710$	0.977283	+	0.0609843i	0.0366768	+	0.00228870i
$711$	−0.361817	+	1.81898i	−0.0135692	+	0.0682170i
$712$	−9.12310	+	11.3318i	−0.341903	+	0.424676i
$713$	−9.40960	+	1.87169i	−0.352392	+	0.0700952i
$714$	−18.7104	−	17.6007i	−0.700220	−	0.658688i
$715$	0.853914	+	1.04050i	0.0319346	+	0.0389124i
$716$	−30.0102	+	5.14781i	−1.12153	+	0.192383i
$717$	10.5405	+	19.7200i	0.393643	+	0.736455i
$718$	3.87688	−	10.3992i	0.144684	−	0.388095i
$719$	43.6597	+	18.0845i	1.62823	+	0.674436i	0.995032	−	0.0995515i	$-0.0317408\pi$
$719$	43.6597	+	18.0845i	1.62823	+	0.674436i	0.633201	+	0.773988i	$0.281741\pi$
$720$	14.4403	−	10.6238i	0.538159	−	0.395926i
$721$	−11.5409	−	38.7841i	−0.429805	−	1.44440i
$722$	25.8169	−	0.926028i	0.960806	−	0.0344632i
$723$	−7.13294	+	23.5142i	−0.265277	+	0.874501i
$724$	31.1369	−	11.9420i	1.15719	−	0.443823i
$725$	0.0789025	−	0.801111i	0.00293037	−	0.0297525i
$726$	12.3908	−	7.20559i	0.459864	−	0.267425i
$727$	−10.6332	+	15.9137i	−0.394364	+	0.590208i	−0.974521	−	0.224297i	$-0.927991\pi$
$727$	−10.6332	+	15.9137i	−0.394364	+	0.590208i	0.580157	+	0.814505i	$0.302991\pi$
$728$	3.13899	+	5.81536i	0.116339	+	0.215532i
$729$	−9.20983	+	6.15381i	−0.341105	+	0.227919i
$730$	8.67516	+	25.2959i	0.321082	+	0.936244i
$731$	12.3948	−	3.75992i	0.458439	−	0.139066i
$732$	0.788875	−	6.29630i	0.0291577	−	0.232718i
$733$	−13.6539	−	11.2054i	−0.504317	−	0.413882i	0.347533	−	0.937668i	$-0.387019\pi$
$733$	−13.6539	−	11.2054i	−0.504317	−	0.413882i	−0.851850	+	0.523785i	$0.824519\pi$
$734$	−35.4090	−	21.8654i	−1.30697	−	0.807066i
$735$	7.99816	+	12.2492i	0.295016	+	0.451820i
$736$	−13.7690	+	19.8637i	−0.507533	+	0.732187i
$737$	−1.04110	−	1.04110i	−0.0383494	−	0.0383494i
$738$	10.8413	−	2.56361i	0.399072	−	0.0943680i
$739$	−26.4867	+	32.2741i	−0.974329	+	1.18722i	0.00798246	+	0.999968i	$0.497459\pi$
$739$	−26.4867	+	32.2741i	−0.974329	+	1.18722i	−0.982311	+	0.187255i	$0.940041\pi$
$740$	−12.9536	−	7.37108i	−0.476184	−	0.270966i
$741$	0.698032	−	0.211746i	0.0256428	−	0.00777867i
$742$	−8.66791	+	13.8718i	−0.318209	+	0.509252i
$743$	38.7853	−	25.9155i	1.42290	−	0.950748i	0.423910	−	0.905704i	$-0.360657\pi$
$743$	38.7853	−	25.9155i	1.42290	−	0.950748i	0.998985	−	0.0450442i	$-0.0143429\pi$
$744$	5.68311	+	2.29177i	0.208353	+	0.0840202i
$745$	4.31398	−	6.45632i	0.158052	−	0.236541i
$746$	−25.2320	−	6.67636i	−0.923810	−	0.244439i
$747$	9.33796	+	0.919709i	0.341658	+	0.0336504i
$748$	6.89128	+	7.26607i	0.251970	+	0.265674i
$749$	7.84376	−	18.6562i	0.286605	−	0.681682i
$750$	11.4839	+	10.6886i	0.419334	+	0.390294i
$751$	−32.1761	+	13.3278i	−1.17412	+	0.486338i	−0.882554	−	0.470212i	$-0.844178\pi$
$751$	−32.1761	+	13.3278i	−1.17412	+	0.486338i	−0.291570	+	0.956550i	$0.594178\pi$
$752$	42.8382	+	10.9057i	1.56215	+	0.397691i
$753$	−7.58680	+	18.3162i	−0.276478	+	0.667478i
$754$	2.96763	−	1.35582i	0.108075	−	0.0493762i
$755$	12.7097	+	23.7781i	0.462552	+	0.865373i
$756$	−24.5143	−	8.29534i	−0.891577	−	0.301699i
$757$	30.2125	+	36.8140i	1.09809	+	1.33803i	0.936299	+	0.351205i	$0.114228\pi$
$757$	30.2125	+	36.8140i	1.09809	+	1.33803i	0.161794	+	0.986825i	$0.448272\pi$
$758$	2.22040	+	16.4674i	0.0806487	+	0.598121i
$759$	2.84505	−	0.565916i	0.103269	−	0.0205415i
$760$	2.42899	−	4.64875i	0.0881086	−	0.168628i
$761$	42.9426	+	8.54181i	1.55667	+	0.309640i	0.897039	−	0.441952i	$-0.145714\pi$
$761$	42.9426	+	8.54181i	1.55667	+	0.309640i	0.659628	+	0.751592i	$0.270714\pi$
$762$	17.3893	−	15.3465i	0.629949	−	0.555947i
$763$	−25.0851	+	37.1151i	−0.908142	+	1.34366i
$764$	1.84814	−	5.55846i	0.0668632	−	0.201098i
$765$	3.12586	+	31.7374i	0.113016	+	1.14747i
$766$	−19.7919	+	14.2766i	−0.715110	+	0.515835i
$767$			3.84988i			0.139011i
$768$	14.3072	−	5.79767i	0.516267	−	0.209205i
$769$			37.8435i			1.36467i	0.731039	+	0.682336i	$0.239036\pi$
$769$			37.8435i			1.36467i	−0.731039	+	0.682336i	$0.760964\pi$
$770$	−2.84083	−	4.94525i	−0.102377	−	0.178214i
$771$	6.55643	−	0.645752i	0.236124	−	0.0232562i
$772$	−17.2223	−	5.72626i	−0.619845	−	0.206092i
$773$	−19.5017	+	36.4851i	−0.701427	+	1.31228i	0.238581	+	0.971123i	$0.423318\pi$
$773$	−19.5017	+	36.4851i	−0.701427	+	1.31228i	−0.940007	+	0.341154i	$0.889182\pi$
$774$	3.99365	−	3.52450i	0.143549	−	0.126686i
$775$	0.134983	−	0.678606i	0.00484874	−	0.0243762i
$776$	43.8951	+	22.9353i	1.57574	+	0.823330i
$777$	0.814456	+	8.74426i	0.0292185	+	0.313699i
$778$	−29.6894	+	4.00322i	−1.06442	+	0.143522i
$779$	2.51951	−	2.06771i	0.0902709	−	0.0740834i
$780$	−0.815658	+	3.59988i	−0.0292052	+	0.128896i
$781$	0.106033	+	0.198373i	0.00379415	+	0.00709835i
$782$	−17.8667	−	39.1067i	−0.638912	−	1.39845i
$783$	−4.88962	+	11.8046i	−0.174741	+	0.421862i
$784$	−9.05101	−	26.4968i	−0.323250	−	0.946313i
$785$	−1.06836	−	2.57924i	−0.0381312	−	0.0920570i
$786$	−7.81700	+	8.39863i	−0.278823	+	0.299569i
$787$	−5.65677	+	18.6479i	−0.201642	+	0.664725i	0.796547	+	0.604576i	$0.206658\pi$
$787$	−5.65677	+	18.6479i	−0.201642	+	0.664725i	−0.998189	+	0.0601488i	$0.980842\pi$
$788$	18.4610	+	19.4651i	0.657646	+	0.693414i
$789$	1.70283	−	17.2891i	0.0606223	−	0.615508i
$790$	−2.65439	−	0.702348i	−0.0944389	−	0.0249884i
$791$	−13.4935	+	16.2652i	−0.479773	+	0.578326i
$792$	3.81932	+	1.54017i	0.135714	+	0.0547277i
$793$	−1.61336	−	2.41457i	−0.0572922	−	0.0857438i
$794$	19.5391	−	39.9358i	0.693415	−	1.41727i
$795$	−8.74290	+	2.65213i	−0.310079	+	0.0940614i
$796$	−6.38603	+	11.2225i	−0.226347	+	0.397772i
$797$	−17.8834	+	21.7910i	−0.633463	+	0.771877i	−0.986505	−	0.163730i	$-0.947647\pi$
$797$	−17.8834	+	21.7910i	−0.633463	+	0.771877i	0.353042	+	0.935607i	$0.385147\pi$
$798$	−3.06507	+	0.396753i	−0.108502	+	0.0140449i
$799$	−55.6038	+	55.6038i	−1.96712	+	1.96712i
$800$	−0.943491	−	1.46562i	−0.0333574	−	0.0518176i
$801$	−7.52526	−	7.52526i	−0.265892	−	0.265892i
$802$	−28.4094	−	17.5431i	−1.00317	−	0.619468i
$803$	−3.89712	+	4.74865i	−0.137526	+	0.167576i
$804$	0.501939	−	4.00616i	0.0177020	−	0.141286i
$805$	4.64953	+	24.0401i	0.163874	+	0.847302i
$806$	2.65267	−	0.909727i	0.0934364	−	0.0320438i
$807$	11.1974	+	16.7581i	0.394168	+	0.589914i
$808$	−14.6950	−	21.5519i	−0.516967	−	0.758192i
$809$	−14.3823	+	21.5247i	−0.505656	+	0.756767i	−0.993211	−	0.116325i	$-0.962889\pi$
$809$	−14.3823	+	21.5247i	−0.505656	+	0.756767i	0.487555	+	0.873092i	$0.337889\pi$
$810$	2.29220	+	3.94167i	0.0805396	+	0.138496i
$811$	−3.85783	+	39.1693i	−0.135467	+	1.37542i	0.651606	+	0.758558i	$0.274096\pi$
$811$	−3.85783	+	39.1693i	−0.135467	+	1.37542i	−0.787072	+	0.616861i	$0.788404\pi$
$812$	−13.3495	+	3.59068i	−0.468476	+	0.126008i
$813$	8.47989	+	2.57235i	0.297403	+	0.0902162i
$814$	−0.122725	−	3.42146i	−0.00430149	−	0.119922i
$815$	−19.7785	+	8.19252i	−0.692810	+	0.286971i
$816$	−4.13391	+	27.1485i	−0.144716	+	0.950387i
$817$	0.596371	−	1.43977i	0.0208644	−	0.0503711i
$818$	4.17071	−	11.1874i	0.145825	−	0.391157i
$819$	−4.47609	+	1.82632i	−0.156407	+	0.0638167i
$820$	2.78841	+	16.2556i	0.0973755	+	0.567670i
$821$	21.2813	−	17.4651i	0.742721	−	0.609535i	−0.185031	−	0.982733i	$-0.559239\pi$
$821$	21.2813	−	17.4651i	0.742721	−	0.609535i	0.927752	+	0.373197i	$0.121739\pi$
$822$	13.9074	+	10.6025i	0.485075	+	0.369805i
$823$	25.9299	−	5.15778i	0.903860	−	0.179789i	0.278785	−	0.960354i	$-0.410068\pi$
$823$	25.9299	−	5.15778i	0.903860	−	0.179789i	0.625075	+	0.780565i	$0.285068\pi$
$824$	−27.1280	+	33.6955i	−0.945047	+	1.17384i
$825$	−0.0408130	+	0.205181i	−0.00142093	+	0.00714347i
$826$	2.69210	−	16.0883i	0.0936700	−	0.559782i
$827$	32.7933	+	17.5284i	1.14033	+	0.609521i	0.929800	−	0.368066i	$-0.119980\pi$
$827$	32.7933	+	17.5284i	1.14033	+	0.609521i	0.210534	+	0.977587i	$0.432480\pi$
$828$	−13.3658	−	11.5743i	−0.464493	−	0.402236i
$829$	−3.69706	−	37.5369i	−0.128404	−	1.30371i	−0.816184	−	0.577792i	$-0.803915\pi$
$829$	−3.69706	−	37.5369i	−0.128404	−	1.30371i	0.687780	−	0.725919i	$-0.258585\pi$
$830$	−2.21999	+	13.7131i	−0.0770571	+	0.475989i
$831$			9.73071i			0.337555i
$832$	3.21275	−	6.29195i	0.111382	−	0.218134i
$833$	48.7464	+	10.2347i	1.68896	+	0.354611i
$834$	3.80016	−	23.4740i	0.131589	−	0.812837i
$835$	1.97029	+	20.0047i	0.0681846	+	0.692289i
$836$	1.20178	−	0.0863241i	0.0415643	−	0.00298558i
$837$	−5.17699	+	9.68546i	−0.178943	+	0.334779i
$838$	−0.273610	+	4.38463i	−0.00945168	+	0.151465i
$839$	−28.4832	−	5.66566i	−0.983349	−	0.195600i	−0.322869	−	0.946444i	$-0.604647\pi$
$839$	−28.4832	−	5.66566i	−0.983349	−	0.195600i	−0.660480	+	0.750844i	$0.729647\pi$
$840$	5.92583	−	14.4732i	0.204461	−	0.499372i
$841$	−4.32611	−	21.7488i	−0.149176	−	0.749960i
$842$	−11.2465	+	14.7520i	−0.387580	+	0.508389i
$843$	−6.01868	+	4.93941i	−0.207295	+	0.170122i
$844$	−0.255142	−	0.180427i	−0.00878235	−	0.00621054i
$845$	−12.4777	−	23.3442i	−0.429247	−	0.803065i
$846$	−11.2961	+	30.3002i	−0.388367	+	1.04174i
$847$	−13.2314	+	24.4416i	−0.454635	+	0.839823i
$848$	17.4688	−	0.790825i	0.599880	−	0.0271570i
$849$	−2.10263	+	0.870940i	−0.0721622	+	0.0298906i
$850$	3.09872	−	0.111148i	0.106285	−	0.00381235i
$851$	−4.26689	+	14.0661i	−0.146267	+	0.482179i
$852$	−0.251044	+	0.563419i	−0.00860064	+	0.0193024i
$853$	−9.33077	−	0.919001i	−0.319479	−	0.0314660i	−0.0629935	−	0.998014i	$-0.520065\pi$
$853$	−9.33077	−	0.919001i	−0.319479	−	0.0314660i	−0.256486	+	0.966548i	$0.582565\pi$
$854$	5.05365	+	11.2184i	0.172932	+	0.383886i
$855$	3.19033	+	2.13171i	0.109107	+	0.0729030i
$856$	−21.1791	+	4.41983i	−0.723886	+	0.151067i
$857$	−21.4082	−	32.0396i	−0.731289	−	1.09445i	−0.991652	−	0.128941i	$-0.958842\pi$
$857$	−21.4082	−	32.0396i	−0.731289	−	1.09445i	0.260363	−	0.965511i	$-0.416158\pi$
$858$	−0.802052	+	0.275062i	−0.0273816	+	0.00939045i
$859$	52.6855	−	15.9820i	1.79761	−	0.545298i	0.799164	−	0.601112i	$-0.205276\pi$
$859$	52.6855	−	15.9820i	1.79761	−	0.545298i	0.998441	+	0.0558147i	$0.0177756\pi$
$860$	4.83962	+	6.22606i	0.165030	+	0.212307i
$861$	6.90831	−	6.83546i	0.235435	−	0.232952i
$862$	−23.1789	−	14.3132i	−0.789475	−	0.487509i
$863$	3.18468	+	3.18468i	0.108408	+	0.108408i	0.759230	−	0.650822i	$-0.225576\pi$
$863$	3.18468	+	3.18468i	0.108408	+	0.108408i	−0.650822	+	0.759230i	$0.725576\pi$
$864$	7.57783	+	26.6087i	0.257803	+	0.905245i
$865$	−2.07104	−	2.07104i	−0.0704176	−	0.0704176i
$866$	−4.88930	−	20.6763i	−0.166145	−	0.702610i
$867$	−25.0835	−	20.5855i	−0.851880	−	0.699120i
$868$	−11.7214	+	1.94673i	−0.397850	+	0.0660763i
$869$	−0.183093	−	0.603577i	−0.00621101	−	0.0204750i
$870$	−6.93571	−	3.39338i	−0.235143	−	0.115046i
$871$	−1.02654	−	1.53632i	−0.0347829	−	0.0520563i
$872$	47.8882	−	0.449501i	1.62170	−	0.0152220i
$873$	−20.1283	+	30.1242i	−0.681241	+	1.01955i
$874$	−5.00084	−	1.32322i	−0.169156	−	0.0447585i
$875$	−29.8039	−	6.09278i	−1.00756	−	0.205974i
$876$	−16.8398	−	0.445810i	−0.568964	−	0.0150625i
$877$	14.8124	−	48.8300i	0.500180	−	1.64887i	−0.235748	−	0.971814i	$-0.575754\pi$
$877$	14.8124	−	48.8300i	0.500180	−	1.64887i	0.735929	−	0.677059i	$-0.236746\pi$
$878$	8.17485	+	7.60871i	0.275888	+	0.256782i
$879$	−20.0608	+	8.30946i	−0.676635	+	0.280271i
$880$	−2.62795	+	5.50147i	−0.0885883	+	0.185455i
$881$	6.07904	+	2.51802i	0.204808	+	0.0848342i	0.482729	−	0.875770i	$-0.339645\pi$
$881$	6.07904	+	2.51802i	0.204808	+	0.0848342i	−0.277921	+	0.960604i	$0.589645\pi$
$882$	19.9822	−	4.50202i	0.672836	−	0.151591i
$883$	−22.1653	+	11.8476i	−0.745922	+	0.398704i	−0.800131	−	0.599826i	$-0.795237\pi$
$883$	−22.1653	+	11.8476i	−0.745922	+	0.398704i	0.0542083	+	0.998530i	$0.482737\pi$
$884$	6.70313	+	10.6306i	0.225451	+	0.357545i
$885$	7.04289	−	5.77995i	0.236744	−	0.194291i
$886$	−42.7260	+	5.76104i	−1.43541	+	0.193546i
$887$	−27.7653	+	5.52286i	−0.932267	+	0.185439i	−0.637782	−	0.770217i	$-0.720148\pi$
$887$	−27.7653	+	5.52286i	−0.932267	+	0.185439i	−0.294485	+	0.955656i	$0.595148\pi$
$888$	7.20116	−	6.02384i	0.241655	−	0.202147i
$889$	−13.2824	+	42.9651i	−0.445479	+	1.44100i
$890$	11.8133	−	10.4256i	0.395983	−	0.349466i
$891$	−0.493756	+	0.923752i	−0.0165414	+	0.0309469i
$892$	3.85261	+	7.69062i	0.128995	+	0.257501i
$893$	0.927349	+	9.41553i	0.0310326	+	0.315079i
$894$	2.86155	+	3.96701i	0.0957044	+	0.132677i
$895$	32.9768			1.10229
$896$	−17.8255	+	24.0469i	−0.595508	+	0.803349i
$897$	3.64037			0.121548
$898$	−11.0642	−	15.3384i	−0.369216	−	0.511850i
$899$	0.574996	+	5.83803i	0.0191772	+	0.194709i
$900$	1.14006	−	0.571111i	0.0380019	−	0.0190370i
$901$	−14.6638	+	27.4340i	−0.488521	+	0.913959i
$902$	−2.84066	+	2.50696i	−0.0945836	+	0.0834725i
$903$	1.37241	−	4.43938i	0.0456710	−	0.147733i
$904$	22.5038	+	2.00335i	0.748467	+	0.0666305i
$905$	−35.4235	+	7.04618i	−1.17752	+	0.234223i
$906$	−16.8317	+	2.26953i	−0.559195	+	0.0754001i
$907$	−6.81481	+	5.59277i	−0.226282	+	0.185705i	−0.740702	−	0.671833i	$-0.765507\pi$
$907$	−6.81481	+	5.59277i	−0.226282	+	0.185705i	0.514420	+	0.857538i	$0.328007\pi$
$908$	37.7837	−	23.8245i	1.25390	−	0.790645i
$909$	16.8289	−	8.99526i	0.558181	−	0.298354i
$910$	−2.28588	−	6.78234i	−0.0757761	−	0.224832i
$911$	−5.45547	−	2.25973i	−0.180748	−	0.0748681i	0.290474	−	0.956883i	$-0.406187\pi$
$911$	−5.45547	−	2.25973i	−0.180748	−	0.0748681i	−0.471222	+	0.882015i	$0.656187\pi$
$912$	2.20942	+	2.45665i	0.0731612	+	0.0813478i
$913$	−2.94821	+	1.22119i	−0.0975715	+	0.0404154i
$914$	−24.7434	−	23.0298i	−0.818439	−	0.761759i
$915$	−1.99496	+	6.57652i	−0.0659515	+	0.217413i
$916$	0.607809	−	22.9590i	0.0200826	−	0.758587i
$917$	4.45588	−	21.7967i	0.147146	−	0.719791i
$918$	−47.5789	−	12.5893i	−1.57034	−	0.415509i
$919$	−25.1354	+	37.6177i	−0.829139	+	1.24089i	0.138952	+	0.990299i	$0.455626\pi$
$919$	−25.1354	+	37.6177i	−0.829139	+	1.24089i	−0.968092	+	0.250596i	$0.919374\pi$
$920$	18.3348	−	18.6823i	0.604481	−	0.615937i
$921$	17.2672	+	25.8421i	0.568972	+	0.851527i
$922$	49.8368	+	24.3832i	1.64129	+	0.803019i
$923$	0.0819419	+	0.270126i	0.00269715	+	0.00889131i
$924$	3.54404	−	0.588606i	0.116590	−	0.0193637i
$925$	−0.819444	−	0.672500i	−0.0269432	−	0.0221117i
$926$	3.60436	+	15.2424i	0.118446	+	0.500897i
$927$	−22.3767	−	22.3767i	−0.734947	−	0.734947i
$928$	11.2621	+	9.56911i	0.369696	+	0.314121i
$929$	3.22609	+	3.22609i	0.105845	+	0.105845i	0.758046	−	0.652201i	$-0.226154\pi$
$929$	3.22609	+	3.22609i	0.105845	+	0.105845i	−0.652201	+	0.758046i	$0.726154\pi$
$930$	−5.64678	−	3.48694i	−0.185165	−	0.114341i
$931$	4.67257	−	3.75249i	0.153137	−	0.122983i
$932$	−6.98636	+	5.43061i	−0.228846	+	0.177886i
$933$	−6.56154	+	1.99042i	−0.214815	+	0.0651635i
$934$	−22.1266	+	7.58824i	−0.724003	+	0.248295i
$935$	−6.02561	−	9.01796i	−0.197059	−	0.294919i
$936$	4.32390	+	2.83080i	0.141331	+	0.0925275i
$937$	1.69086	+	1.12979i	0.0552379	+	0.0369088i	0.582883	−	0.812556i	$-0.301925\pi$
$937$	1.69086	+	1.12979i	0.0552379	+	0.0369088i	−0.527645	+	0.849465i	$0.676925\pi$
$938$	3.21549	+	7.13795i	0.104990	+	0.233062i
$939$	22.8580	+	2.25132i	0.745944	+	0.0734691i
$940$	−43.7305	−	19.4851i	−1.42633	−	0.635536i
$941$	13.3116	−	43.8823i	0.433944	−	1.43052i	−0.418745	−	0.908104i	$-0.637530\pi$
$941$	13.3116	−	43.8823i	0.433944	−	1.43052i	0.852689	−	0.522418i	$-0.174970\pi$
$942$	1.75748	−	0.0630390i	0.0572617	−	0.00205392i
$943$	15.0280	−	6.22480i	0.489379	−	0.202707i
$944$	−15.7925	+	7.39509i	−0.514003	+	0.240690i
$945$	24.6488	+	13.3435i	0.801825	+	0.434065i
$946$	−0.632788	+	1.69737i	−0.0205737	+	0.0551862i
$947$	−0.866022	−	1.62021i	−0.0281419	−	0.0526499i	0.867457	−	0.497512i	$-0.165753\pi$
$947$	−0.866022	−	1.62021i	−0.0281419	−	0.0526499i	−0.895599	+	0.444862i	$0.853253\pi$
$948$	0.998650	−	1.41220i	0.0324346	−	0.0458660i
$949$	−5.95935	+	4.89071i	−0.193449	+	0.158759i
$950$	0.226180	−	0.296681i	0.00733825	−	0.00962561i
$951$	−5.74228	−	28.8684i	−0.186206	−	0.936122i
$952$	−20.5781	−	49.1114i	−0.666939	−	1.59171i
$953$	−27.8256	−	5.53485i	−0.901358	−	0.179291i	−0.277405	−	0.960753i	$-0.589474\pi$
$953$	−27.8256	−	5.53485i	−0.901358	−	0.179291i	−0.623953	+	0.781462i	$0.714474\pi$
$954$	−0.796707	+	12.7673i	−0.0257943	+	0.413358i
$955$	−2.99057	+	5.59495i	−0.0967724	+	0.181048i
$956$	3.32083	+	46.2315i	0.107403	+	1.49523i
$957$	−0.173854	−	1.76517i	−0.00561989	−	0.0570597i
$958$	−4.04511	+	24.9870i	−0.130692	+	0.807295i
$959$	−33.7282	−	3.50256i	−1.08914	−	0.113103i
$960$	−16.3338	+	3.56897i	−0.527170	+	0.115188i
$961$		−	25.9578i		−	0.837349i
$962$	0.686622	−	4.24133i	0.0221376	−	0.136746i
$963$	−1.55133	−	15.7509i	−0.0499908	−	0.507565i
$964$	−33.3441	+	38.5050i	−1.07394	+	1.24016i
$965$	17.3354	+	9.26595i	0.558046	+	0.298282i
$966$	−15.2127	−	2.54559i	−0.489461	−	0.0819029i
$967$	1.19219	−	5.99352i	0.0383381	−	0.192739i	−0.956870	−	0.290516i	$-0.906173\pi$
$967$	1.19219	−	5.99352i	0.0383381	−	0.192739i	0.995208	+	0.0977770i	$0.0311732\pi$
$968$	29.5404	−	3.18971i	0.949466	−	0.102521i
$969$	−5.76462	+	1.14666i	−0.185186	+	0.0368359i
$970$	−42.6561	−	32.5196i	−1.36960	−	1.04414i
$971$	−26.7610	+	21.9622i	−0.858800	+	0.704799i	−0.956913	−	0.290376i	$-0.906219\pi$
$971$	−26.7610	+	21.9622i	−0.858800	+	0.704799i	0.0981125	+	0.995175i	$0.468719\pi$
$972$	−31.7535	+	5.44684i	−1.01849	+	0.174708i
$973$	17.4192	+	42.6923i	0.558433	+	1.36865i
$974$	16.5407	−	44.3682i	0.529998	−	1.42165i
$975$	−0.100469	+	0.242553i	−0.00321757	+	0.00776791i
$976$	6.80570	−	11.2562i	0.217845	−	0.360302i
$977$	−23.6994	+	9.81663i	−0.758212	+	0.314062i	−0.728087	−	0.685484i	$-0.759590\pi$
$977$	−23.6994	+	9.81663i	−0.758212	+	0.314062i	−0.0301249	+	0.999546i	$0.509590\pi$
$978$	−0.483405	−	13.4769i	−0.0154576	−	0.430945i
$979$	3.46351	+	1.05064i	0.110694	+	0.0335787i
$980$	4.80978	+	29.9411i	0.153643	+	0.956435i
$981$	−3.43389	+	34.8649i	−0.109636	+	1.11315i
$982$	−21.4920	−	36.9578i	−0.685838	−	1.17937i
$983$	3.47681	−	5.20341i	0.110893	−	0.165963i	−0.771872	−	0.635778i	$-0.780679\pi$
$983$	3.47681	−	5.20341i	0.110893	−	0.165963i	0.882765	+	0.469815i	$0.155679\pi$
$984$	−10.2084	−	1.93115i	−0.325432	−	0.0615628i
$985$	−16.1420	−	24.1582i	−0.514326	−	0.769744i
$986$	−24.8677	+	8.52831i	−0.791949	+	0.271597i
$987$	5.35680	+	27.6970i	0.170509	+	0.881605i
$988$	1.50033	+	0.187979i	0.0477319	+	0.00598042i
$989$	4.93390	−	6.01197i	0.156889	−	0.191169i
$990$	−3.79490	−	2.34339i	−0.120610	−	0.0744777i
$991$	32.5470	+	32.5470i	1.03389	+	1.03389i	0.999405	+	0.0344835i	$0.0109786\pi$
$991$	32.5470	+	32.5470i	1.03389	+	1.03389i	0.0344835	+	0.999405i	$0.489021\pi$
$992$	8.82719	+	9.13402i	0.280263	+	0.290005i
$993$	−11.7799	+	11.7799i	−0.373824	+	0.373824i
$994$	−0.153536	−	1.18613i	−0.00486988	−	0.0376217i
$995$	8.87163	−	10.8101i	0.281250	−	0.342704i
$996$	−7.60563	−	4.32788i	−0.240994	−	0.137134i
$997$	−7.86393	+	2.38550i	−0.249053	+	0.0755494i	−0.412343	−	0.911029i	$-0.635289\pi$
$997$	−7.86393	+	2.38550i	−0.249053	+	0.0755494i	0.163290	+	0.986578i	$0.447789\pi$
$998$	−21.1562	+	43.2411i	−0.669689	+	1.36877i
$999$	9.34803	+	13.9903i	0.295759	+	0.442634i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	896.2.bk.b.587.99	✓	1984
7.6	odd	2	inner	896.2.bk.b.587.100	yes	1984
128.99	odd	32	inner	896.2.bk.b.867.100	yes	1984
896.867	even	32	inner	896.2.bk.b.867.99	yes	1984

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
896.2.bk.b.587.99	✓	1984	1.1	even	1	trivial
896.2.bk.b.587.100	yes	1984	7.6	odd	2	inner
896.2.bk.b.867.99	yes	1984	896.867	even	32	inner
896.2.bk.b.867.100	yes	1984	128.99	odd	32	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:	\( N \)	\(=\)	\( 896 = 2^{7} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	896.bk (of order \(32\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(1.14696 - 0.827340i) q^{2} +(-0.0945699 - 0.960184i) q^{3} +(0.631016 - 1.89785i) q^{4} +(-1.02108 + 1.91031i) q^{5} +(-0.902866 - 1.02305i) q^{6} +(2.52772 + 0.781431i) q^{7} +(-0.846418 - 2.69881i) q^{8} +(2.02935 - 0.403662i) q^{9} +O(q^{10})\)	\(q+(1.14696 - 0.827340i) q^{2} +(-0.0945699 - 0.960184i) q^{3} +(0.631016 - 1.89785i) q^{4} +(-1.02108 + 1.91031i) q^{5} +(-0.902866 - 1.02305i) q^{6} +(2.52772 + 0.781431i) q^{7} +(-0.846418 - 2.69881i) q^{8} +(2.02935 - 0.403662i) q^{9} +(0.409340 + 3.03582i) q^{10} +(-0.543954 + 0.446412i) q^{11} +(-1.88196 - 0.426412i) q^{12} +(-0.778817 + 0.416286i) q^{13} +(3.54569 - 1.19502i) q^{14} +(1.93081 + 0.799767i) q^{15} +(-3.20364 - 2.39514i) q^{16} +(6.57397 - 2.72303i) q^{17} +(1.99360 - 2.14194i) q^{18} +(0.248518 - 0.819255i) q^{19} +(2.98115 + 3.14328i) q^{20} +(0.511272 - 2.50098i) q^{21} +(-0.254557 + 0.962050i) q^{22} +(2.37371 - 3.55251i) q^{23} +(-2.51131 + 1.06794i) q^{24} +(0.171188 + 0.256201i) q^{25} +(-0.548858 + 1.12181i) q^{26} +(-1.41973 - 4.68022i) q^{27} +(3.07807 - 4.30413i) q^{28} +(-2.01948 - 1.65734i) q^{29} +(2.87623 - 0.680138i) q^{30} +(-1.58779 - 1.58779i) q^{31} +(-5.65603 - 0.0966216i) q^{32} +(0.480079 + 0.480079i) q^{33} +(5.28718 - 8.56210i) q^{34} +(-4.07377 + 4.03081i) q^{35} +(0.514461 - 4.10610i) q^{36} +(-3.29218 + 0.998673i) q^{37} +(-0.392763 - 1.14526i) q^{38} +(0.473364 + 0.708439i) q^{39} +(6.01981 + 1.13878i) q^{40} +(3.16551 + 2.11513i) q^{41} +(-1.48275 - 3.29150i) q^{42} +(1.81153 + 0.178420i) q^{43} +(0.503977 + 1.31403i) q^{44} +(-1.30101 + 4.28884i) q^{45} +(-0.216593 - 6.03844i) q^{46} +(-10.2099 + 4.22909i) q^{47} +(-1.99681 + 3.30259i) q^{48} +(5.77873 + 3.95048i) q^{49} +(0.408311 + 0.152221i) q^{50} +(-3.23631 - 6.05470i) q^{51} +(0.298602 + 1.74076i) q^{52} +(-3.37935 + 2.77336i) q^{53} +(-5.50051 - 4.19341i) q^{54} +(-0.297362 - 1.49494i) q^{55} +(-0.0305711 - 7.48325i) q^{56} +(-0.810138 - 0.161146i) q^{57} +(-3.68744 - 0.230103i) q^{58} +(2.05508 - 3.84478i) q^{59} +(2.73620 - 3.15971i) q^{60} +(0.322322 + 3.27259i) q^{61} +(-3.13477 - 0.507483i) q^{62} +(5.44505 + 0.565450i) q^{63} +(-6.56715 + 4.56864i) q^{64} -1.91284i q^{65} +(0.947818 + 0.153441i) q^{66} +(0.205084 + 2.08225i) q^{67} +(-1.01961 - 14.1947i) q^{68} +(-3.63554 - 1.94324i) q^{69} +(-1.33759 + 7.99356i) q^{70} +(0.0623608 - 0.313509i) q^{71} +(-2.80708 - 5.13515i) q^{72} +(8.56213 - 1.70311i) q^{73} +(-2.94975 + 3.86919i) q^{74} +(0.229811 - 0.188601i) q^{75} +(-1.39800 - 0.988612i) q^{76} +(-1.72380 + 0.703341i) q^{77} +(1.12905 + 0.420916i) q^{78} +(-0.343013 + 0.828107i) q^{79} +(7.84662 - 3.67430i) q^{80} +(1.37519 - 0.569624i) q^{81} +(5.38063 - 0.192998i) q^{82} +(4.33961 + 1.31641i) q^{83} +(-4.42385 - 2.54847i) q^{84} +(-1.51073 + 15.3387i) q^{85} +(2.22536 - 1.29411i) q^{86} +(-1.40037 + 2.09581i) q^{87} +(1.66519 + 1.09018i) q^{88} +(-2.85754 - 4.27662i) q^{89} +(2.05614 + 5.99549i) q^{90} +(-2.29393 + 0.443663i) q^{91} +(-5.24426 - 6.74662i) q^{92} +(-1.37442 + 1.67473i) q^{93} +(-8.21144 + 13.2977i) q^{94} +(1.31127 + 1.31127i) q^{95} +(0.442115 + 5.43997i) q^{96} +(-12.3815 + 12.3815i) q^{97} +(9.89634 - 0.249953i) q^{98} +(-0.923672 + 1.12550i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1984 q - 32 q^{2} - 32 q^{4} - 16 q^{7} - 32 q^{8} - 32 q^{9}+O(q^{10}) \) 1984 * q - 32 * q^2 - 32 * q^4 - 16 * q^7 - 32 * q^8 - 32 * q^9	\( 1984 q - 32 q^{2} - 32 q^{4} - 16 q^{7} - 32 q^{8} - 32 q^{9} - 32 q^{11} - 16 q^{14} - 32 q^{15} - 32 q^{16} - 32 q^{18} - 16 q^{21} - 32 q^{22} - 32 q^{23} - 32 q^{25} - 16 q^{28} - 32 q^{29} - 32 q^{30} - 32 q^{32} - 16 q^{35} - 32 q^{36} - 32 q^{37} - 32 q^{39} - 16 q^{42} - 32 q^{43} - 32 q^{44} - 32 q^{46} - 16 q^{49} - 128 q^{50} - 32 q^{51} - 32 q^{53} - 128 q^{56} - 32 q^{57} - 32 q^{58} + 160 q^{60} - 32 q^{63} - 416 q^{64} - 32 q^{67} - 16 q^{70} - 32 q^{71} - 32 q^{72} + 256 q^{74} - 16 q^{77} - 224 q^{78} - 32 q^{79} - 32 q^{81} - 16 q^{84} - 32 q^{85} - 32 q^{86} - 32 q^{88} - 16 q^{91} - 32 q^{92} - 32 q^{93} - 32 q^{95} - 16 q^{98} - 32 q^{99}+O(q^{100}) \) 1984 * q - 32 * q^2 - 32 * q^4 - 16 * q^7 - 32 * q^8 - 32 * q^9 - 32 * q^11 - 16 * q^14 - 32 * q^15 - 32 * q^16 - 32 * q^18 - 16 * q^21 - 32 * q^22 - 32 * q^23 - 32 * q^25 - 16 * q^28 - 32 * q^29 - 32 * q^30 - 32 * q^32 - 16 * q^35 - 32 * q^36 - 32 * q^37 - 32 * q^39 - 16 * q^42 - 32 * q^43 - 32 * q^44 - 32 * q^46 - 16 * q^49 - 128 * q^50 - 32 * q^51 - 32 * q^53 - 128 * q^56 - 32 * q^57 - 32 * q^58 + 160 * q^60 - 32 * q^63 - 416 * q^64 - 32 * q^67 - 16 * q^70 - 32 * q^71 - 32 * q^72 + 256 * q^74 - 16 * q^77 - 224 * q^78 - 32 * q^79 - 32 * q^81 - 16 * q^84 - 32 * q^85 - 32 * q^86 - 32 * q^88 - 16 * q^91 - 32 * q^92 - 32 * q^93 - 32 * q^95 - 16 * q^98 - 32 * q^99

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