Properties

Label 384.2.v.a.37.16
Level $384$
Weight $2$
Character 384.37
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [384,2,Mod(13,384)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(384, base_ring=CyclotomicField(32))
 
chi = DirichletCharacter(H, H._module([0, 15, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("384.13");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (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: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 37.16
Character \(\chi\) \(=\) 384.37
Dual form 384.2.v.a.301.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.0564568 + 1.41309i) q^{2} +(0.471397 + 0.881921i) q^{3} +(-1.99363 - 0.159557i) q^{4} +(2.04339 - 1.67697i) q^{5} +(-1.27284 + 0.616334i) q^{6} +(1.08443 - 0.724595i) q^{7} +(0.338021 - 2.80816i) q^{8} +(-0.555570 + 0.831470i) q^{9} +O(q^{10})\) \(q+(-0.0564568 + 1.41309i) q^{2} +(0.471397 + 0.881921i) q^{3} +(-1.99363 - 0.159557i) q^{4} +(2.04339 - 1.67697i) q^{5} +(-1.27284 + 0.616334i) q^{6} +(1.08443 - 0.724595i) q^{7} +(0.338021 - 2.80816i) q^{8} +(-0.555570 + 0.831470i) q^{9} +(2.25434 + 2.98216i) q^{10} +(1.60151 + 5.27948i) q^{11} +(-0.799072 - 1.83343i) q^{12} +(-2.87419 + 3.50222i) q^{13} +(0.962692 + 1.57331i) q^{14} +(2.44220 + 1.01159i) q^{15} +(3.94908 + 0.636192i) q^{16} +(4.45798 - 1.84656i) q^{17} +(-1.14357 - 0.832011i) q^{18} +(6.82533 - 0.672236i) q^{19} +(-4.34133 + 3.01721i) q^{20} +(1.15023 + 0.614813i) q^{21} +(-7.55078 + 1.96501i) q^{22} +(-3.42349 + 0.680974i) q^{23} +(2.63591 - 1.02565i) q^{24} +(0.387775 - 1.94947i) q^{25} +(-4.78666 - 4.25921i) q^{26} +(-0.995185 - 0.0980171i) q^{27} +(-2.27757 + 1.27154i) q^{28} +(-9.93663 - 3.01424i) q^{29} +(-1.56735 + 3.39393i) q^{30} +(3.66650 + 3.66650i) q^{31} +(-1.12195 + 5.54448i) q^{32} +(-3.90114 + 3.90114i) q^{33} +(2.35766 + 6.40377i) q^{34} +(1.00080 - 3.29919i) q^{35} +(1.24027 - 1.56899i) q^{36} +(0.330555 - 3.35618i) q^{37} +(0.564591 + 9.68273i) q^{38} +(-4.44356 - 0.883880i) q^{39} +(-4.01848 - 6.30501i) q^{40} +(-1.60682 - 8.07802i) q^{41} +(-0.933723 + 1.59067i) q^{42} +(1.63001 - 3.04953i) q^{43} +(-2.35044 - 10.7808i) q^{44} +(0.259100 + 2.63069i) q^{45} +(-0.768996 - 4.87613i) q^{46} +(-2.83786 - 6.85119i) q^{47} +(1.30051 + 3.78268i) q^{48} +(-2.02783 + 4.89561i) q^{49} +(2.73288 + 0.658020i) q^{50} +(3.73000 + 3.06113i) q^{51} +(6.28887 - 6.52351i) q^{52} +(-1.86789 + 0.566619i) q^{53} +(0.194692 - 1.40075i) q^{54} +(12.1260 + 8.10236i) q^{55} +(-1.66822 - 3.29019i) q^{56} +(3.81030 + 5.70251i) q^{57} +(4.82038 - 13.8711i) q^{58} +(1.57996 + 1.92519i) q^{59} +(-4.70743 - 2.40641i) q^{60} +(11.8145 - 6.31497i) q^{61} +(-5.38808 + 4.97408i) q^{62} +1.30424i q^{63} +(-7.77148 - 1.89843i) q^{64} +11.9763i q^{65} +(-5.29240 - 5.73289i) q^{66} +(-1.14937 + 0.614349i) q^{67} +(-9.18218 + 2.97004i) q^{68} +(-2.21439 - 2.69824i) q^{69} +(4.60554 + 1.60048i) q^{70} +(-4.72726 - 7.07485i) q^{71} +(2.14710 + 1.84118i) q^{72} +(-3.45718 - 2.31001i) q^{73} +(4.72391 + 0.656582i) q^{74} +(1.90208 - 0.576989i) q^{75} +(-13.7144 + 0.251161i) q^{76} +(5.56222 + 4.56480i) q^{77} +(1.49987 - 6.22924i) q^{78} +(-1.14925 + 2.77454i) q^{79} +(9.13639 - 5.32250i) q^{80} +(-0.382683 - 0.923880i) q^{81} +(11.5057 - 1.81451i) q^{82} +(0.465385 + 4.72513i) q^{83} +(-2.19504 - 1.40923i) q^{84} +(6.01279 - 11.2491i) q^{85} +(4.21722 + 2.47551i) q^{86} +(-2.02577 - 10.1842i) q^{87} +(15.3669 - 2.71272i) q^{88} +(-12.8743 - 2.56085i) q^{89} +(-3.73202 + 0.217611i) q^{90} +(-0.579183 + 5.88055i) q^{91} +(6.93381 - 0.811367i) q^{92} +(-1.50519 + 4.96194i) q^{93} +(9.84154 - 3.62334i) q^{94} +(12.8195 - 12.8195i) q^{95} +(-5.41868 + 1.62418i) q^{96} +(0.0737450 + 0.0737450i) q^{97} +(-6.80343 - 3.14188i) q^{98} +(-5.27948 - 1.60151i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q+O(q^{10}) \) Copy content Toggle raw display \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{25}{32}\right)\) \(1\)

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 \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0564568 + 1.41309i −0.0399210 + 0.999203i
\(3\) 0.471397 + 0.881921i 0.272161 + 0.509177i
\(4\) −1.99363 0.159557i −0.996813 0.0797783i
\(5\) 2.04339 1.67697i 0.913832 0.749963i −0.0547907 0.998498i \(-0.517449\pi\)
0.968623 + 0.248535i \(0.0799492\pi\)
\(6\) −1.27284 + 0.616334i −0.519637 + 0.251617i
\(7\) 1.08443 0.724595i 0.409877 0.273871i −0.333491 0.942753i \(-0.608227\pi\)
0.743369 + 0.668882i \(0.233227\pi\)
\(8\) 0.338021 2.80816i 0.119508 0.992833i
\(9\) −0.555570 + 0.831470i −0.185190 + 0.277157i
\(10\) 2.25434 + 2.98216i 0.712884 + 0.943043i
\(11\) 1.60151 + 5.27948i 0.482874 + 1.59182i 0.772718 + 0.634749i \(0.218897\pi\)
−0.289844 + 0.957074i \(0.593603\pi\)
\(12\) −0.799072 1.83343i −0.230672 0.529267i
\(13\) −2.87419 + 3.50222i −0.797158 + 0.971340i −0.999969 0.00787819i \(-0.997492\pi\)
0.202811 + 0.979218i \(0.434992\pi\)
\(14\) 0.962692 + 1.57331i 0.257290 + 0.420484i
\(15\) 2.44220 + 1.01159i 0.630574 + 0.261192i
\(16\) 3.94908 + 0.636192i 0.987271 + 0.159048i
\(17\) 4.45798 1.84656i 1.08122 0.447856i 0.230283 0.973124i \(-0.426035\pi\)
0.850937 + 0.525268i \(0.176035\pi\)
\(18\) −1.14357 0.832011i −0.269543 0.196107i
\(19\) 6.82533 0.672236i 1.56584 0.154222i 0.722410 0.691465i \(-0.243034\pi\)
0.843427 + 0.537243i \(0.180534\pi\)
\(20\) −4.34133 + 3.01721i −0.970750 + 0.674668i
\(21\) 1.15023 + 0.614813i 0.251002 + 0.134163i
\(22\) −7.55078 + 1.96501i −1.60983 + 0.418942i
\(23\) −3.42349 + 0.680974i −0.713847 + 0.141993i −0.538637 0.842538i \(-0.681060\pi\)
−0.175210 + 0.984531i \(0.556060\pi\)
\(24\) 2.63591 1.02565i 0.538054 0.209359i
\(25\) 0.387775 1.94947i 0.0775549 0.389895i
\(26\) −4.78666 4.25921i −0.938742 0.835299i
\(27\) −0.995185 0.0980171i −0.191523 0.0188634i
\(28\) −2.27757 + 1.27154i −0.430420 + 0.240299i
\(29\) −9.93663 3.01424i −1.84519 0.559731i −0.999668 0.0257838i \(-0.991792\pi\)
−0.845518 0.533947i \(-0.820708\pi\)
\(30\) −1.56735 + 3.39393i −0.286157 + 0.619644i
\(31\) 3.66650 + 3.66650i 0.658523 + 0.658523i 0.955031 0.296507i \(-0.0958220\pi\)
−0.296507 + 0.955031i \(0.595822\pi\)
\(32\) −1.12195 + 5.54448i −0.198334 + 0.980134i
\(33\) −3.90114 + 3.90114i −0.679101 + 0.679101i
\(34\) 2.35766 + 6.40377i 0.404336 + 1.09824i
\(35\) 1.00080 3.29919i 0.169166 0.557665i
\(36\) 1.24027 1.56899i 0.206711 0.261499i
\(37\) 0.330555 3.35618i 0.0543429 0.551753i −0.929011 0.370052i \(-0.879340\pi\)
0.983354 0.181701i \(-0.0581602\pi\)
\(38\) 0.564591 + 9.68273i 0.0915888 + 1.57075i
\(39\) −4.44356 0.883880i −0.711540 0.141534i
\(40\) −4.01848 6.30501i −0.635377 0.996910i
\(41\) −1.60682 8.07802i −0.250943 1.26157i −0.876502 0.481398i \(-0.840129\pi\)
0.625559 0.780177i \(-0.284871\pi\)
\(42\) −0.933723 + 1.59067i −0.144077 + 0.245446i
\(43\) 1.63001 3.04953i 0.248574 0.465049i −0.726429 0.687242i \(-0.758821\pi\)
0.975003 + 0.222193i \(0.0713214\pi\)
\(44\) −2.35044 10.7808i −0.354342 1.62527i
\(45\) 0.259100 + 2.63069i 0.0386244 + 0.392160i
\(46\) −0.768996 4.87613i −0.113382 0.718946i
\(47\) −2.83786 6.85119i −0.413944 0.999349i −0.984068 0.177791i \(-0.943105\pi\)
0.570125 0.821558i \(-0.306895\pi\)
\(48\) 1.30051 + 3.78268i 0.187713 + 0.545983i
\(49\) −2.02783 + 4.89561i −0.289689 + 0.699372i
\(50\) 2.73288 + 0.658020i 0.386488 + 0.0930581i
\(51\) 3.73000 + 3.06113i 0.522304 + 0.428644i
\(52\) 6.28887 6.52351i 0.872109 0.904648i
\(53\) −1.86789 + 0.566619i −0.256575 + 0.0778311i −0.415952 0.909387i \(-0.636551\pi\)
0.159377 + 0.987218i \(0.449051\pi\)
\(54\) 0.194692 1.40075i 0.0264942 0.190618i
\(55\) 12.1260 + 8.10236i 1.63507 + 1.09252i
\(56\) −1.66822 3.29019i −0.222925 0.439670i
\(57\) 3.81030 + 5.70251i 0.504686 + 0.755316i
\(58\) 4.82038 13.8711i 0.632946 1.82137i
\(59\) 1.57996 + 1.92519i 0.205694 + 0.250639i 0.865631 0.500682i \(-0.166917\pi\)
−0.659938 + 0.751320i \(0.729417\pi\)
\(60\) −4.70743 2.40641i −0.607726 0.310666i
\(61\) 11.8145 6.31497i 1.51269 0.808549i 0.513904 0.857848i \(-0.328199\pi\)
0.998784 + 0.0492990i \(0.0156987\pi\)
\(62\) −5.38808 + 4.97408i −0.684287 + 0.631709i
\(63\) 1.30424i 0.164318i
\(64\) −7.77148 1.89843i −0.971435 0.237304i
\(65\) 11.9763i 1.48548i
\(66\) −5.29240 5.73289i −0.651449 0.705670i
\(67\) −1.14937 + 0.614349i −0.140417 + 0.0750546i −0.540109 0.841595i \(-0.681617\pi\)
0.399692 + 0.916650i \(0.369117\pi\)
\(68\) −9.18218 + 2.97004i −1.11350 + 0.360171i
\(69\) −2.21439 2.69824i −0.266581 0.324830i
\(70\) 4.60554 + 1.60048i 0.550467 + 0.191294i
\(71\) −4.72726 7.07485i −0.561023 0.839630i 0.437191 0.899368i \(-0.355973\pi\)
−0.998214 + 0.0597388i \(0.980973\pi\)
\(72\) 2.14710 + 1.84118i 0.253038 + 0.216985i
\(73\) −3.45718 2.31001i −0.404632 0.270366i 0.336557 0.941663i \(-0.390738\pi\)
−0.741189 + 0.671297i \(0.765738\pi\)
\(74\) 4.72391 + 0.656582i 0.549144 + 0.0763261i
\(75\) 1.90208 0.576989i 0.219633 0.0666250i
\(76\) −13.7144 + 0.251161i −1.57315 + 0.0288101i
\(77\) 5.56222 + 4.56480i 0.633874 + 0.520207i
\(78\) 1.49987 6.22924i 0.169827 0.705322i
\(79\) −1.14925 + 2.77454i −0.129301 + 0.312160i −0.975250 0.221103i \(-0.929034\pi\)
0.845950 + 0.533263i \(0.179034\pi\)
\(80\) 9.13639 5.32250i 1.02148 0.595073i
\(81\) −0.382683 0.923880i −0.0425204 0.102653i
\(82\) 11.5057 1.81451i 1.27059 0.200379i
\(83\) 0.465385 + 4.72513i 0.0510826 + 0.518651i 0.986345 + 0.164694i \(0.0526638\pi\)
−0.935262 + 0.353956i \(0.884836\pi\)
\(84\) −2.19504 1.40923i −0.239498 0.153760i
\(85\) 6.01279 11.2491i 0.652178 1.22014i
\(86\) 4.21722 + 2.47551i 0.454755 + 0.266941i
\(87\) −2.02577 10.1842i −0.217185 1.09186i
\(88\) 15.3669 2.71272i 1.63812 0.289177i
\(89\) −12.8743 2.56085i −1.36467 0.271450i −0.542196 0.840252i \(-0.682407\pi\)
−0.822474 + 0.568802i \(0.807407\pi\)
\(90\) −3.73202 + 0.217611i −0.393390 + 0.0229382i
\(91\) −0.579183 + 5.88055i −0.0607149 + 0.616449i
\(92\) 6.93381 0.811367i 0.722899 0.0845909i
\(93\) −1.50519 + 4.96194i −0.156081 + 0.514529i
\(94\) 9.84154 3.62334i 1.01508 0.373719i
\(95\) 12.8195 12.8195i 1.31525 1.31525i
\(96\) −5.41868 + 1.62418i −0.553041 + 0.165767i
\(97\) 0.0737450 + 0.0737450i 0.00748767 + 0.00748767i 0.710841 0.703353i \(-0.248315\pi\)
−0.703353 + 0.710841i \(0.748315\pi\)
\(98\) −6.80343 3.14188i −0.687250 0.317378i
\(99\) −5.27948 1.60151i −0.530608 0.160958i
\(100\) −1.08413 + 3.82465i −0.108413 + 0.382465i
\(101\) 2.81607 + 0.277359i 0.280210 + 0.0275982i 0.237146 0.971474i \(-0.423788\pi\)
0.0430638 + 0.999072i \(0.486288\pi\)
\(102\) −4.53622 + 5.09799i −0.449153 + 0.504776i
\(103\) 2.14279 10.7726i 0.211136 1.06145i −0.719217 0.694785i \(-0.755499\pi\)
0.930353 0.366666i \(-0.119501\pi\)
\(104\) 8.86323 + 9.25501i 0.869111 + 0.907528i
\(105\) 3.38140 0.672602i 0.329991 0.0656393i
\(106\) −0.695226 2.67148i −0.0675263 0.259477i
\(107\) 15.3511 + 8.20536i 1.48405 + 0.793242i 0.996794 0.0800166i \(-0.0254973\pi\)
0.487257 + 0.873258i \(0.337997\pi\)
\(108\) 1.96839 + 0.354198i 0.189408 + 0.0340827i
\(109\) −8.85589 + 0.872229i −0.848240 + 0.0835444i −0.512791 0.858514i \(-0.671388\pi\)
−0.335450 + 0.942058i \(0.608888\pi\)
\(110\) −12.1339 + 16.6777i −1.15692 + 1.59016i
\(111\) 3.11571 1.29057i 0.295730 0.122495i
\(112\) 4.74350 2.17158i 0.448219 0.205195i
\(113\) −15.7742 6.53387i −1.48391 0.614655i −0.513927 0.857834i \(-0.671810\pi\)
−0.969981 + 0.243179i \(0.921810\pi\)
\(114\) −8.27326 + 5.06233i −0.774862 + 0.474131i
\(115\) −5.85355 + 7.13258i −0.545847 + 0.665116i
\(116\) 19.3290 + 7.59473i 1.79465 + 0.705153i
\(117\) −1.31517 4.33553i −0.121587 0.400820i
\(118\) −2.80966 + 2.12393i −0.258650 + 0.195524i
\(119\) 3.49638 5.23270i 0.320513 0.479681i
\(120\) 3.66623 6.51614i 0.334679 0.594840i
\(121\) −16.1619 + 10.7990i −1.46926 + 0.981730i
\(122\) 8.25659 + 17.0514i 0.747516 + 1.54376i
\(123\) 6.36673 5.22504i 0.574069 0.471126i
\(124\) −6.72461 7.89464i −0.603888 0.708960i
\(125\) 3.75367 + 7.02262i 0.335738 + 0.628122i
\(126\) −1.84300 0.0736331i −0.164187 0.00655975i
\(127\) 1.28161 0.113725 0.0568623 0.998382i \(-0.481890\pi\)
0.0568623 + 0.998382i \(0.481890\pi\)
\(128\) 3.12140 10.8746i 0.275895 0.961188i
\(129\) 3.45782 0.304444
\(130\) −16.9236 0.676145i −1.48430 0.0593018i
\(131\) −3.81691 7.14093i −0.333485 0.623906i 0.658164 0.752875i \(-0.271333\pi\)
−0.991649 + 0.128968i \(0.958833\pi\)
\(132\) 8.39986 7.15495i 0.731114 0.622759i
\(133\) 6.91452 5.67460i 0.599565 0.492050i
\(134\) −0.803238 1.65884i −0.0693892 0.143302i
\(135\) −2.19792 + 1.46861i −0.189167 + 0.126397i
\(136\) −3.67853 13.1429i −0.315431 1.12699i
\(137\) 9.97520 14.9289i 0.852239 1.27547i −0.107396 0.994216i \(-0.534251\pi\)
0.959635 0.281249i \(-0.0907487\pi\)
\(138\) 3.93786 2.97679i 0.335213 0.253401i
\(139\) 3.77792 + 12.4541i 0.320439 + 1.05635i 0.958197 + 0.286109i \(0.0923618\pi\)
−0.637758 + 0.770236i \(0.720138\pi\)
\(140\) −2.52163 + 6.41767i −0.213116 + 0.542392i
\(141\) 4.70445 5.73239i 0.396187 0.482755i
\(142\) 10.2643 6.28060i 0.861357 0.527057i
\(143\) −23.0929 9.56540i −1.93113 0.799899i
\(144\) −2.72297 + 2.93009i −0.226914 + 0.244174i
\(145\) −25.3592 + 10.5041i −2.10597 + 0.872320i
\(146\) 3.45943 4.75487i 0.286304 0.393516i
\(147\) −5.27345 + 0.519389i −0.434947 + 0.0428385i
\(148\) −1.19450 + 6.63823i −0.0981877 + 0.545659i
\(149\) −6.09116 3.25579i −0.499008 0.266725i 0.202635 0.979254i \(-0.435050\pi\)
−0.701642 + 0.712529i \(0.747550\pi\)
\(150\) 0.707950 + 2.72038i 0.0578039 + 0.222118i
\(151\) −22.2777 + 4.43132i −1.81294 + 0.360616i −0.980962 0.194198i \(-0.937789\pi\)
−0.831974 + 0.554814i \(0.812789\pi\)
\(152\) 0.419360 19.3938i 0.0340146 1.57305i
\(153\) −0.941367 + 4.73257i −0.0761050 + 0.382606i
\(154\) −6.76448 + 7.60218i −0.545097 + 0.612601i
\(155\) 13.6407 + 1.34349i 1.09565 + 0.107912i
\(156\) 8.71777 + 2.47112i 0.697980 + 0.197848i
\(157\) −5.63347 1.70889i −0.449600 0.136385i 0.0573615 0.998353i \(-0.481731\pi\)
−0.506961 + 0.861969i \(0.669231\pi\)
\(158\) −3.85578 1.78063i −0.306749 0.141659i
\(159\) −1.38023 1.38023i −0.109459 0.109459i
\(160\) 7.00533 + 13.2110i 0.553820 + 1.04442i
\(161\) −3.21912 + 3.21912i −0.253702 + 0.253702i
\(162\) 1.32713 0.488605i 0.104269 0.0383885i
\(163\) 3.00244 9.89770i 0.235169 0.775248i −0.757334 0.653028i \(-0.773499\pi\)
0.992503 0.122220i \(-0.0390015\pi\)
\(164\) 1.91449 + 16.3609i 0.149497 + 1.27757i
\(165\) −1.42947 + 14.5136i −0.111284 + 1.12988i
\(166\) −6.70329 + 0.390863i −0.520276 + 0.0303369i
\(167\) −2.64901 0.526920i −0.204986 0.0407743i 0.0915290 0.995802i \(-0.470825\pi\)
−0.296515 + 0.955028i \(0.595825\pi\)
\(168\) 2.11529 3.02222i 0.163199 0.233169i
\(169\) −1.46835 7.38188i −0.112950 0.567837i
\(170\) 15.5565 + 9.13168i 1.19313 + 0.700368i
\(171\) −3.23301 + 6.04853i −0.247234 + 0.462542i
\(172\) −3.73620 + 5.81954i −0.284882 + 0.443736i
\(173\) −0.592578 6.01655i −0.0450529 0.457429i −0.991073 0.133321i \(-0.957436\pi\)
0.946020 0.324108i \(-0.105064\pi\)
\(174\) 14.5056 2.28762i 1.09966 0.173424i
\(175\) −0.992064 2.39506i −0.0749930 0.181049i
\(176\) 2.96574 + 21.8680i 0.223551 + 1.64836i
\(177\) −0.953077 + 2.30093i −0.0716377 + 0.172949i
\(178\) 4.34554 18.0479i 0.325712 1.35275i
\(179\) −6.09124 4.99895i −0.455281 0.373639i 0.378621 0.925552i \(-0.376398\pi\)
−0.833902 + 0.551913i \(0.813898\pi\)
\(180\) −0.0968050 5.28595i −0.00721542 0.393992i
\(181\) 7.96808 2.41709i 0.592263 0.179661i 0.0200957 0.999798i \(-0.493603\pi\)
0.572167 + 0.820137i \(0.306103\pi\)
\(182\) −8.27702 1.15043i −0.613534 0.0852758i
\(183\) 11.1386 + 7.44258i 0.823390 + 0.550171i
\(184\) 0.755071 + 9.84388i 0.0556646 + 0.725700i
\(185\) −4.95276 7.41232i −0.364134 0.544965i
\(186\) −6.92667 2.40710i −0.507888 0.176497i
\(187\) 16.8884 + 20.5786i 1.23500 + 1.50485i
\(188\) 4.56447 + 14.1115i 0.332898 + 1.02919i
\(189\) −1.15023 + 0.614813i −0.0836673 + 0.0447211i
\(190\) 17.3913 + 18.8388i 1.26170 + 1.36671i
\(191\) 6.65976i 0.481883i 0.970540 + 0.240942i \(0.0774563\pi\)
−0.970540 + 0.240942i \(0.922544\pi\)
\(192\) −1.98918 7.74875i −0.143557 0.559218i
\(193\) 13.0523i 0.939525i −0.882793 0.469762i \(-0.844340\pi\)
0.882793 0.469762i \(-0.155660\pi\)
\(194\) −0.108371 + 0.100045i −0.00778061 + 0.00718278i
\(195\) −10.5622 + 5.64560i −0.756373 + 0.404290i
\(196\) 4.82385 9.43645i 0.344561 0.674032i
\(197\) 1.88339 + 2.29492i 0.134186 + 0.163506i 0.835768 0.549082i \(-0.185023\pi\)
−0.701582 + 0.712589i \(0.747523\pi\)
\(198\) 2.56114 7.36994i 0.182012 0.523759i
\(199\) 7.32477 + 10.9623i 0.519239 + 0.777096i 0.994720 0.102630i \(-0.0327258\pi\)
−0.475481 + 0.879726i \(0.657726\pi\)
\(200\) −5.34335 1.74789i −0.377832 0.123595i
\(201\) −1.08361 0.724048i −0.0764323 0.0510704i
\(202\) −0.550918 + 3.96369i −0.0387625 + 0.278884i
\(203\) −12.9597 + 3.93129i −0.909594 + 0.275922i
\(204\) −6.94779 6.69789i −0.486443 0.468946i
\(205\) −16.8299 13.8120i −1.17545 0.964670i
\(206\) 15.1016 + 3.63614i 1.05218 + 0.253342i
\(207\) 1.33578 3.22486i 0.0928431 0.224143i
\(208\) −13.5785 + 12.0020i −0.941500 + 0.832189i
\(209\) 14.4799 + 34.9576i 1.00160 + 2.41807i
\(210\) 0.759542 + 4.81618i 0.0524134 + 0.332348i
\(211\) 1.69655 + 17.2254i 0.116795 + 1.18584i 0.857670 + 0.514200i \(0.171911\pi\)
−0.740875 + 0.671643i \(0.765589\pi\)
\(212\) 3.81428 0.831591i 0.261966 0.0571139i
\(213\) 4.01104 7.50413i 0.274832 0.514175i
\(214\) −12.4616 + 21.2292i −0.851854 + 1.45120i
\(215\) −1.78322 8.96485i −0.121615 0.611398i
\(216\) −0.611641 + 2.76150i −0.0416169 + 0.187896i
\(217\) 6.63281 + 1.31935i 0.450264 + 0.0895631i
\(218\) −0.732559 12.5634i −0.0496152 0.850899i
\(219\) 0.407546 4.13789i 0.0275394 0.279613i
\(220\) −22.8820 18.0879i −1.54270 1.21948i
\(221\) −6.34607 + 20.9202i −0.426883 + 1.40724i
\(222\) 1.64778 + 4.47563i 0.110592 + 0.300385i
\(223\) 0.929614 0.929614i 0.0622515 0.0622515i −0.675296 0.737547i \(-0.735984\pi\)
0.737547 + 0.675296i \(0.235984\pi\)
\(224\) 2.80083 + 6.82558i 0.187138 + 0.456053i
\(225\) 1.40549 + 1.40549i 0.0936995 + 0.0936995i
\(226\) 10.1235 21.9214i 0.673404 1.45819i
\(227\) −22.3326 6.77451i −1.48226 0.449640i −0.557499 0.830178i \(-0.688239\pi\)
−0.924765 + 0.380538i \(0.875739\pi\)
\(228\) −6.68643 11.9766i −0.442820 0.793172i
\(229\) 26.9905 + 2.65833i 1.78358 + 0.175667i 0.935295 0.353870i \(-0.115134\pi\)
0.848287 + 0.529537i \(0.177634\pi\)
\(230\) −9.74847 8.67426i −0.642795 0.571964i
\(231\) −1.40378 + 7.05727i −0.0923618 + 0.464334i
\(232\) −11.8233 + 26.8847i −0.776235 + 1.76507i
\(233\) 0.633871 0.126085i 0.0415262 0.00826008i −0.174283 0.984696i \(-0.555761\pi\)
0.215810 + 0.976435i \(0.430761\pi\)
\(234\) 6.20073 1.61368i 0.405354 0.105489i
\(235\) −17.2881 9.24067i −1.12775 0.602795i
\(236\) −2.84268 4.09020i −0.185043 0.266250i
\(237\) −2.98868 + 0.294359i −0.194135 + 0.0191207i
\(238\) 7.19687 + 5.23611i 0.466504 + 0.339407i
\(239\) −11.0641 + 4.58291i −0.715679 + 0.296444i −0.710652 0.703543i \(-0.751600\pi\)
−0.00502665 + 0.999987i \(0.501600\pi\)
\(240\) 9.00089 + 5.54857i 0.581005 + 0.358159i
\(241\) −1.33207 0.551761i −0.0858062 0.0355421i 0.339368 0.940654i \(-0.389787\pi\)
−0.425174 + 0.905112i \(0.639787\pi\)
\(242\) −14.3475 23.4478i −0.922293 1.50728i
\(243\) 0.634393 0.773010i 0.0406963 0.0495886i
\(244\) −24.5612 + 10.7046i −1.57237 + 0.685292i
\(245\) 4.06613 + 13.4042i 0.259776 + 0.856365i
\(246\) 7.02398 + 9.29172i 0.447833 + 0.592419i
\(247\) −17.2630 + 25.8359i −1.09842 + 1.64390i
\(248\) 11.5355 9.05675i 0.732503 0.575104i
\(249\) −3.94781 + 2.63784i −0.250182 + 0.167167i
\(250\) −10.1355 + 4.90778i −0.641024 + 0.310395i
\(251\) 14.8438 12.1820i 0.936935 0.768923i −0.0361551 0.999346i \(-0.511511\pi\)
0.973091 + 0.230423i \(0.0740110\pi\)
\(252\) 0.208100 2.60016i 0.0131090 0.163795i
\(253\) −9.07795 16.9837i −0.570726 1.06775i
\(254\) −0.0723556 + 1.81103i −0.00454000 + 0.113634i
\(255\) 12.7553 0.798765
\(256\) 15.1905 + 5.02475i 0.949407 + 0.314047i
\(257\) 13.0316 0.812889 0.406445 0.913675i \(-0.366768\pi\)
0.406445 + 0.913675i \(0.366768\pi\)
\(258\) −0.195218 + 4.88620i −0.0121537 + 0.304202i
\(259\) −2.07341 3.87908i −0.128835 0.241034i
\(260\) 1.91090 23.8763i 0.118509 1.48075i
\(261\) 8.02675 6.58738i 0.496843 0.407749i
\(262\) 10.3062 4.99047i 0.636722 0.308312i
\(263\) −22.4864 + 15.0249i −1.38657 + 0.926477i −0.386580 + 0.922256i \(0.626344\pi\)
−0.999991 + 0.00422143i \(0.998656\pi\)
\(264\) 9.63634 + 12.2737i 0.593076 + 0.755392i
\(265\) −2.86663 + 4.29022i −0.176096 + 0.263546i
\(266\) 7.62832 + 10.0912i 0.467722 + 0.618730i
\(267\) −3.81042 12.5613i −0.233194 0.768737i
\(268\) 2.38943 1.04139i 0.145958 0.0636132i
\(269\) 10.0342 12.2267i 0.611798 0.745478i −0.371309 0.928509i \(-0.621091\pi\)
0.983107 + 0.183031i \(0.0585910\pi\)
\(270\) −1.95118 3.18877i −0.118745 0.194062i
\(271\) 8.61772 + 3.56958i 0.523489 + 0.216836i 0.628749 0.777608i \(-0.283567\pi\)
−0.105260 + 0.994445i \(0.533567\pi\)
\(272\) 18.7797 4.45608i 1.13869 0.270189i
\(273\) −5.45920 + 2.26128i −0.330406 + 0.136859i
\(274\) 20.5327 + 14.9387i 1.24043 + 0.902477i
\(275\) 10.9132 1.07486i 0.658093 0.0648165i
\(276\) 3.98414 + 5.73260i 0.239817 + 0.345062i
\(277\) 8.21858 + 4.39292i 0.493807 + 0.263945i 0.699450 0.714682i \(-0.253429\pi\)
−0.205643 + 0.978627i \(0.565929\pi\)
\(278\) −17.8120 + 4.63540i −1.06830 + 0.278013i
\(279\) −5.08558 + 1.01159i −0.304466 + 0.0605620i
\(280\) −8.92635 3.92560i −0.533452 0.234599i
\(281\) −3.40588 + 17.1225i −0.203178 + 1.02144i 0.735730 + 0.677275i \(0.236839\pi\)
−0.938908 + 0.344169i \(0.888161\pi\)
\(282\) 7.83477 + 6.97143i 0.466554 + 0.415143i
\(283\) −11.2523 1.10825i −0.668877 0.0658787i −0.242122 0.970246i \(-0.577843\pi\)
−0.426755 + 0.904367i \(0.640343\pi\)
\(284\) 8.29555 + 14.8589i 0.492250 + 0.881711i
\(285\) 17.3489 + 5.26272i 1.02766 + 0.311736i
\(286\) 14.8205 32.0923i 0.876354 1.89766i
\(287\) −7.59578 7.59578i −0.448365 0.448365i
\(288\) −3.98674 4.01321i −0.234921 0.236481i
\(289\) 4.44304 4.44304i 0.261355 0.261355i
\(290\) −13.4115 36.4278i −0.787552 2.13911i
\(291\) −0.0302741 + 0.0998004i −0.00177470 + 0.00585040i
\(292\) 6.52373 + 5.15691i 0.381773 + 0.301785i
\(293\) −0.440544 + 4.47292i −0.0257368 + 0.261311i 0.973702 + 0.227824i \(0.0731611\pi\)
−0.999439 + 0.0334866i \(0.989339\pi\)
\(294\) −0.436220 7.48116i −0.0254409 0.436310i
\(295\) 6.45697 + 1.28437i 0.375939 + 0.0747789i
\(296\) −9.31295 2.06271i −0.541304 0.119893i
\(297\) −1.07632 5.41103i −0.0624545 0.313980i
\(298\) 4.94461 8.42353i 0.286433 0.487962i
\(299\) 7.45485 13.9470i 0.431125 0.806578i
\(300\) −3.88409 + 0.846811i −0.224248 + 0.0488907i
\(301\) −0.442040 4.48811i −0.0254788 0.258690i
\(302\) −5.00410 31.7305i −0.287954 1.82589i
\(303\) 1.08288 + 2.61430i 0.0622097 + 0.150188i
\(304\) 27.3815 + 1.68750i 1.57043 + 0.0967850i
\(305\) 13.5516 32.7164i 0.775962 1.87334i
\(306\) −6.63438 1.59742i −0.379263 0.0913183i
\(307\) −1.54391 1.26705i −0.0881155 0.0723145i 0.589304 0.807911i \(-0.299402\pi\)
−0.677420 + 0.735597i \(0.736902\pi\)
\(308\) −10.3606 9.98798i −0.590352 0.569118i
\(309\) 10.5106 3.18837i 0.597930 0.181380i
\(310\) −2.66858 + 19.1996i −0.151565 + 1.09047i
\(311\) −5.57895 3.72773i −0.316353 0.211380i 0.387248 0.921976i \(-0.373426\pi\)
−0.703601 + 0.710595i \(0.748426\pi\)
\(312\) −3.98409 + 12.1795i −0.225555 + 0.689526i
\(313\) 0.264033 + 0.395153i 0.0149240 + 0.0223354i 0.838857 0.544352i \(-0.183225\pi\)
−0.823933 + 0.566688i \(0.808225\pi\)
\(314\) 2.73286 7.86410i 0.154224 0.443797i
\(315\) 2.18716 + 2.66507i 0.123233 + 0.150159i
\(316\) 2.73387 5.34802i 0.153792 0.300849i
\(317\) 26.5774 14.2059i 1.49273 0.797883i 0.495249 0.868751i \(-0.335077\pi\)
0.997486 + 0.0708676i \(0.0225768\pi\)
\(318\) 2.02831 1.87246i 0.113742 0.105002i
\(319\) 57.2876i 3.20749i
\(320\) −19.0638 + 9.15329i −1.06570 + 0.511684i
\(321\) 17.4065i 0.971535i
\(322\) −4.36715 4.73063i −0.243372 0.263628i
\(323\) 29.1859 15.6002i 1.62395 0.868017i
\(324\) 0.615516 + 1.90293i 0.0341953 + 0.105718i
\(325\) 5.71294 + 6.96124i 0.316897 + 0.386140i
\(326\) 13.8168 + 4.80149i 0.765242 + 0.265930i
\(327\) −4.94387 7.39903i −0.273397 0.409167i
\(328\) −23.2275 + 1.78166i −1.28252 + 0.0983755i
\(329\) −8.04181 5.37336i −0.443359 0.296243i
\(330\) −20.4283 2.83935i −1.12454 0.156301i
\(331\) 2.11432 0.641371i 0.116213 0.0352530i −0.231642 0.972801i \(-0.574410\pi\)
0.347856 + 0.937548i \(0.386910\pi\)
\(332\) −0.173877 9.49440i −0.00954273 0.521073i
\(333\) 2.60692 + 2.13944i 0.142858 + 0.117241i
\(334\) 0.894138 3.71353i 0.0489251 0.203195i
\(335\) −1.31836 + 3.18280i −0.0720297 + 0.173895i
\(336\) 4.15123 + 3.15972i 0.226468 + 0.172377i
\(337\) 0.492331 + 1.18859i 0.0268190 + 0.0647467i 0.936722 0.350075i \(-0.113844\pi\)
−0.909903 + 0.414822i \(0.863844\pi\)
\(338\) 10.5141 1.65814i 0.571893 0.0901911i
\(339\) −1.67353 16.9916i −0.0908936 0.922858i
\(340\) −13.7821 + 21.4672i −0.747440 + 1.16422i
\(341\) −13.4853 + 25.2292i −0.730268 + 1.36624i
\(342\) −8.36457 4.91000i −0.452304 0.265502i
\(343\) 3.12940 + 15.7325i 0.168972 + 0.849478i
\(344\) −8.01258 5.60812i −0.432009 0.302370i
\(345\) −9.04972 1.80010i −0.487220 0.0969142i
\(346\) 8.53535 0.497689i 0.458863 0.0267559i
\(347\) −1.36858 + 13.8954i −0.0734692 + 0.745945i 0.885916 + 0.463846i \(0.153531\pi\)
−0.959385 + 0.282099i \(0.908969\pi\)
\(348\) 2.41366 + 20.6268i 0.129386 + 1.10571i
\(349\) −5.01536 + 16.5334i −0.268466 + 0.885015i 0.714249 + 0.699892i \(0.246768\pi\)
−0.982715 + 0.185123i \(0.940732\pi\)
\(350\) 3.44043 1.26666i 0.183899 0.0677056i
\(351\) 3.20363 3.20363i 0.170997 0.170997i
\(352\) −31.0688 + 2.95625i −1.65597 + 0.157569i
\(353\) 9.30183 + 9.30183i 0.495086 + 0.495086i 0.909904 0.414818i \(-0.136155\pi\)
−0.414818 + 0.909904i \(0.636155\pi\)
\(354\) −3.19761 1.47668i −0.169951 0.0784849i
\(355\) −21.5239 6.52921i −1.14237 0.346535i
\(356\) 25.2579 + 7.15955i 1.33866 + 0.379456i
\(357\) 6.26302 + 0.616853i 0.331474 + 0.0326473i
\(358\) 7.40784 8.32522i 0.391517 0.440002i
\(359\) 1.09675 5.51375i 0.0578844 0.291005i −0.940990 0.338434i \(-0.890103\pi\)
0.998875 + 0.0474292i \(0.0151028\pi\)
\(360\) 7.47497 + 0.161634i 0.393966 + 0.00851887i
\(361\) 27.4983 5.46975i 1.44728 0.287881i
\(362\) 2.96571 + 11.3960i 0.155874 + 0.598963i
\(363\) −17.1426 9.16289i −0.899751 0.480927i
\(364\) 2.09295 11.6312i 0.109701 0.609640i
\(365\) −10.9382 + 1.07732i −0.572530 + 0.0563893i
\(366\) −11.1459 + 15.3196i −0.582603 + 0.800770i
\(367\) −1.97703 + 0.818913i −0.103200 + 0.0427469i −0.433686 0.901064i \(-0.642787\pi\)
0.330486 + 0.943811i \(0.392787\pi\)
\(368\) −13.9529 + 0.511227i −0.727344 + 0.0266495i
\(369\) 7.60933 + 3.15189i 0.396126 + 0.164081i
\(370\) 10.7539 6.58020i 0.559067 0.342088i
\(371\) −1.61504 + 1.96793i −0.0838485 + 0.102170i
\(372\) 3.79249 9.65209i 0.196632 0.500438i
\(373\) −4.03796 13.3114i −0.209078 0.689237i −0.997272 0.0738108i \(-0.976484\pi\)
0.788195 0.615426i \(-0.211016\pi\)
\(374\) −30.0327 + 22.7029i −1.55296 + 1.17394i
\(375\) −4.42393 + 6.62088i −0.228451 + 0.341901i
\(376\) −20.1985 + 5.65330i −1.04166 + 0.291547i
\(377\) 39.1163 26.1367i 2.01459 1.34611i
\(378\) −0.803845 1.66009i −0.0413453 0.0853859i
\(379\) −13.6042 + 11.1647i −0.698802 + 0.573492i −0.915291 0.402793i \(-0.868040\pi\)
0.216489 + 0.976285i \(0.430540\pi\)
\(380\) −27.6027 + 23.5118i −1.41599 + 1.20613i
\(381\) 0.604147 + 1.13028i 0.0309514 + 0.0579060i
\(382\) −9.41082 0.375989i −0.481499 0.0192373i
\(383\) 3.24929 0.166031 0.0830155 0.996548i \(-0.473545\pi\)
0.0830155 + 0.996548i \(0.473545\pi\)
\(384\) 11.0620 2.37342i 0.564503 0.121118i
\(385\) 19.0208 0.969390
\(386\) 18.4440 + 0.736891i 0.938776 + 0.0375068i
\(387\) 1.63001 + 3.04953i 0.0828579 + 0.155016i
\(388\) −0.135253 0.158786i −0.00686645 0.00806116i
\(389\) 6.98624 5.73346i 0.354216 0.290698i −0.440410 0.897797i \(-0.645167\pi\)
0.794626 + 0.607099i \(0.207667\pi\)
\(390\) −7.38141 15.2440i −0.373772 0.771910i
\(391\) −14.0044 + 9.35744i −0.708233 + 0.473226i
\(392\) 13.0622 + 7.34927i 0.659740 + 0.371194i
\(393\) 4.49846 6.73243i 0.226917 0.339606i
\(394\) −3.34925 + 2.53184i −0.168733 + 0.127552i
\(395\) 2.30444 + 7.59672i 0.115949 + 0.382232i
\(396\) 10.2698 + 4.03519i 0.516075 + 0.202776i
\(397\) 0.245746 0.299443i 0.0123337 0.0150286i −0.766807 0.641878i \(-0.778156\pi\)
0.779141 + 0.626849i \(0.215656\pi\)
\(398\) −15.9042 + 9.73163i −0.797205 + 0.487803i
\(399\) 8.26403 + 3.42307i 0.413719 + 0.171368i
\(400\) 2.77159 7.45194i 0.138580 0.372597i
\(401\) −2.70084 + 1.11872i −0.134873 + 0.0558664i −0.449099 0.893482i \(-0.648255\pi\)
0.314226 + 0.949348i \(0.398255\pi\)
\(402\) 1.08432 1.49036i 0.0540810 0.0743326i
\(403\) −23.3791 + 2.30264i −1.16460 + 0.114703i
\(404\) −5.56994 1.00227i −0.277115 0.0498649i
\(405\) −2.33129 1.24610i −0.115843 0.0619192i
\(406\) −4.82358 18.5351i −0.239390 0.919884i
\(407\) 18.2483 3.62981i 0.904534 0.179923i
\(408\) 9.85695 9.43969i 0.487992 0.467334i
\(409\) −3.25112 + 16.3445i −0.160757 + 0.808182i 0.813294 + 0.581854i \(0.197672\pi\)
−0.974051 + 0.226329i \(0.927328\pi\)
\(410\) 20.4677 23.0024i 1.01083 1.13601i
\(411\) 17.8684 + 1.75989i 0.881384 + 0.0868088i
\(412\) −5.99076 + 21.1345i −0.295144 + 1.04122i
\(413\) 3.10835 + 0.942908i 0.152952 + 0.0463975i
\(414\) 4.48159 + 2.06964i 0.220258 + 0.101717i
\(415\) 8.87485 + 8.87485i 0.435649 + 0.435649i
\(416\) −16.1933 19.8652i −0.793940 0.973972i
\(417\) −9.20266 + 9.20266i −0.450656 + 0.450656i
\(418\) −50.2156 + 18.4878i −2.45612 + 0.904266i
\(419\) −11.1879 + 36.8817i −0.546566 + 1.80179i 0.0494015 + 0.998779i \(0.484269\pi\)
−0.595968 + 0.803008i \(0.703231\pi\)
\(420\) −6.84856 + 0.801392i −0.334176 + 0.0391039i
\(421\) −0.236897 + 2.40525i −0.0115456 + 0.117225i −0.999230 0.0392346i \(-0.987508\pi\)
0.987684 + 0.156459i \(0.0500080\pi\)
\(422\) −24.4367 + 1.42488i −1.18956 + 0.0693622i
\(423\) 7.27319 + 1.44673i 0.353634 + 0.0703422i
\(424\) 0.959768 + 5.43686i 0.0466104 + 0.264037i
\(425\) −1.87112 9.40677i −0.0907628 0.456296i
\(426\) 10.3775 + 6.09161i 0.502793 + 0.295139i
\(427\) 8.23622 15.4089i 0.398578 0.745688i
\(428\) −29.2952 18.8078i −1.41604 0.909108i
\(429\) −2.45000 24.8752i −0.118287 1.20099i
\(430\) 12.7688 2.01372i 0.615765 0.0971100i
\(431\) −1.67092 4.03396i −0.0804854 0.194309i 0.878514 0.477716i \(-0.158535\pi\)
−0.959000 + 0.283407i \(0.908535\pi\)
\(432\) −3.86771 1.02021i −0.186085 0.0490847i
\(433\) 15.0692 36.3803i 0.724180 1.74832i 0.0631017 0.998007i \(-0.479901\pi\)
0.661078 0.750317i \(-0.270099\pi\)
\(434\) −2.23882 + 9.29824i −0.107467 + 0.446330i
\(435\) −21.2181 17.4132i −1.01733 0.834899i
\(436\) 17.7945 0.325882i 0.852202 0.0156069i
\(437\) −22.9087 + 6.94927i −1.09587 + 0.332428i
\(438\) 5.82418 + 0.809510i 0.278290 + 0.0386799i
\(439\) 18.7495 + 12.5280i 0.894865 + 0.597929i 0.915704 0.401853i \(-0.131634\pi\)
−0.0208395 + 0.999783i \(0.506634\pi\)
\(440\) 26.8515 31.3130i 1.28010 1.49279i
\(441\) −2.94395 4.40593i −0.140188 0.209806i
\(442\) −29.2037 10.1486i −1.38908 0.482721i
\(443\) 8.23952 + 10.0399i 0.391472 + 0.477010i 0.931032 0.364937i \(-0.118910\pi\)
−0.539560 + 0.841947i \(0.681410\pi\)
\(444\) −6.41748 + 2.07578i −0.304560 + 0.0985122i
\(445\) −30.6016 + 16.3569i −1.45066 + 0.775392i
\(446\) 1.26114 + 1.36611i 0.0597168 + 0.0646870i
\(447\) 6.90670i 0.326676i
\(448\) −9.80325 + 3.57246i −0.463160 + 0.168783i
\(449\) 6.03612i 0.284862i 0.989805 + 0.142431i \(0.0454919\pi\)
−0.989805 + 0.142431i \(0.954508\pi\)
\(450\) −2.06543 + 1.90673i −0.0973654 + 0.0898842i
\(451\) 40.0744 21.4202i 1.88703 1.00864i
\(452\) 30.4053 + 15.5430i 1.43014 + 0.731080i
\(453\) −14.4097 17.5583i −0.677028 0.824961i
\(454\) 10.8338 31.1754i 0.508455 1.46313i
\(455\) 8.67799 + 12.9875i 0.406830 + 0.608865i
\(456\) 17.3015 8.77234i 0.810217 0.410802i
\(457\) 0.970523 + 0.648483i 0.0453991 + 0.0303347i 0.578063 0.815992i \(-0.303809\pi\)
−0.532664 + 0.846327i \(0.678809\pi\)
\(458\) −5.28025 + 37.9898i −0.246730 + 1.77515i
\(459\) −4.61751 + 1.40071i −0.215527 + 0.0653794i
\(460\) 12.8078 13.2857i 0.597169 0.619449i
\(461\) −16.0960 13.2097i −0.749666 0.615235i 0.179988 0.983669i \(-0.442394\pi\)
−0.929654 + 0.368434i \(0.879894\pi\)
\(462\) −9.89328 2.38209i −0.460277 0.110825i
\(463\) 4.13176 9.97495i 0.192019 0.463575i −0.798321 0.602232i \(-0.794278\pi\)
0.990341 + 0.138656i \(0.0442784\pi\)
\(464\) −37.3229 18.2251i −1.73267 0.846079i
\(465\) 5.24533 + 12.6633i 0.243246 + 0.587248i
\(466\) 0.142382 + 0.902832i 0.00659573 + 0.0418229i
\(467\) 2.72487 + 27.6660i 0.126092 + 1.28023i 0.825046 + 0.565065i \(0.191149\pi\)
−0.698954 + 0.715166i \(0.746351\pi\)
\(468\) 1.93019 + 8.85327i 0.0892231 + 0.409242i
\(469\) −0.801257 + 1.49905i −0.0369986 + 0.0692195i
\(470\) 14.0339 23.9078i 0.647335 1.10279i
\(471\) −1.14849 5.77384i −0.0529196 0.266045i
\(472\) 5.94030 3.78603i 0.273424 0.174266i
\(473\) 18.7104 + 3.72173i 0.860305 + 0.171125i
\(474\) −0.247223 4.23988i −0.0113553 0.194744i
\(475\) 1.33618 13.5665i 0.0613082 0.622473i
\(476\) −7.80539 + 9.87418i −0.357759 + 0.452582i
\(477\) 0.566619 1.86789i 0.0259437 0.0855249i
\(478\) −5.85140 15.8933i −0.267637 0.726943i
\(479\) 11.9536 11.9536i 0.546173 0.546173i −0.379159 0.925332i \(-0.623787\pi\)
0.925332 + 0.379159i \(0.123787\pi\)
\(480\) −8.34877 + 12.4058i −0.381068 + 0.566244i
\(481\) 10.8040 + 10.8040i 0.492620 + 0.492620i
\(482\) 0.854891 1.85118i 0.0389392 0.0843189i
\(483\) −4.35649 1.32153i −0.198227 0.0601315i
\(484\) 33.9438 18.9505i 1.54290 0.861386i
\(485\) 0.274358 + 0.0270219i 0.0124579 + 0.00122700i
\(486\) 1.05651 + 0.940094i 0.0479245 + 0.0426435i
\(487\) −0.799491 + 4.01931i −0.0362284 + 0.182133i −0.994663 0.103181i \(-0.967098\pi\)
0.958434 + 0.285314i \(0.0920978\pi\)
\(488\) −13.7399 35.3115i −0.621975 1.59848i
\(489\) 10.1443 2.01783i 0.458743 0.0912496i
\(490\) −19.1709 + 4.98903i −0.866053 + 0.225382i
\(491\) 24.1696 + 12.9189i 1.09076 + 0.583022i 0.915833 0.401560i \(-0.131532\pi\)
0.174925 + 0.984582i \(0.444032\pi\)
\(492\) −13.5266 + 9.40092i −0.609824 + 0.423826i
\(493\) −49.8633 + 4.91111i −2.24573 + 0.221185i
\(494\) −35.5337 25.8527i −1.59874 1.16317i
\(495\) −13.4737 + 5.58100i −0.605599 + 0.250847i
\(496\) 12.1467 + 16.8119i 0.545404 + 0.754877i
\(497\) −10.2528 4.24685i −0.459901 0.190497i
\(498\) −3.50462 5.72752i −0.157046 0.256656i
\(499\) −2.45461 + 2.99095i −0.109883 + 0.133893i −0.825048 0.565063i \(-0.808852\pi\)
0.715164 + 0.698956i \(0.246352\pi\)
\(500\) −6.36290 14.5994i −0.284558 0.652904i
\(501\) −0.784031 2.58460i −0.0350279 0.115472i
\(502\) 16.3762 + 21.6634i 0.730907 + 0.966885i
\(503\) −4.40192 + 6.58794i −0.196272 + 0.293742i −0.916531 0.399963i \(-0.869023\pi\)
0.720259 + 0.693705i \(0.244023\pi\)
\(504\) 3.66250 + 0.440860i 0.163141 + 0.0196374i
\(505\) 6.21946 4.15571i 0.276762 0.184927i
\(506\) 24.5119 11.8691i 1.08969 0.527645i
\(507\) 5.81806 4.77476i 0.258389 0.212055i
\(508\) −2.55505 0.204490i −0.113362 0.00907276i
\(509\) 8.94620 + 16.7372i 0.396533 + 0.741862i 0.998389 0.0567433i \(-0.0180717\pi\)
−0.601855 + 0.798605i \(0.705572\pi\)
\(510\) −0.720121 + 18.0243i −0.0318875 + 0.798129i
\(511\) −5.42290 −0.239895
\(512\) −7.95802 + 21.1818i −0.351698 + 0.936114i
\(513\) −6.85835 −0.302804
\(514\) −0.735723 + 18.4148i −0.0324513 + 0.812241i
\(515\) −13.6867 25.6059i −0.603106 1.12833i
\(516\) −6.89361 0.551719i −0.303474 0.0242881i
\(517\) 31.6259 25.9547i 1.39090 1.14149i
\(518\) 5.59853 2.71091i 0.245985 0.119110i
\(519\) 5.02678 3.35879i 0.220651 0.147434i
\(520\) 33.6314 + 4.04825i 1.47483 + 0.177527i
\(521\) −3.92708 + 5.87729i −0.172048 + 0.257489i −0.907466 0.420125i \(-0.861986\pi\)
0.735418 + 0.677614i \(0.236986\pi\)
\(522\) 8.85537 + 11.7144i 0.387589 + 0.512725i
\(523\) 12.6528 + 41.7106i 0.553267 + 1.82388i 0.566639 + 0.823966i \(0.308243\pi\)
−0.0133724 + 0.999911i \(0.504257\pi\)
\(524\) 6.47010 + 14.8454i 0.282648 + 0.648522i
\(525\) 1.64459 2.00394i 0.0717760 0.0874593i
\(526\) −19.9620 32.6235i −0.870385 1.42245i
\(527\) 23.1156 + 9.57480i 1.00693 + 0.417085i
\(528\) −17.8878 + 12.9240i −0.778466 + 0.562447i
\(529\) −9.99268 + 4.13910i −0.434464 + 0.179961i
\(530\) −5.90061 4.29301i −0.256306 0.186476i
\(531\) −2.47852 + 0.244113i −0.107559 + 0.0105936i
\(532\) −14.6904 + 10.2098i −0.636908 + 0.442649i
\(533\) 32.9093 + 17.5904i 1.42546 + 0.761923i
\(534\) 17.9653 4.67528i 0.777434 0.202319i
\(535\) 45.1285 8.97662i 1.95108 0.388093i
\(536\) 1.33668 + 3.43526i 0.0577357 + 0.148381i
\(537\) 1.53729 7.72848i 0.0663390 0.333509i
\(538\) 16.7109 + 14.8695i 0.720460 + 0.641070i
\(539\) −29.0938 2.86549i −1.25316 0.123426i
\(540\) 4.61616 2.57716i 0.198648 0.110903i
\(541\) 34.7114 + 10.5296i 1.49236 + 0.452702i 0.927922 0.372774i \(-0.121593\pi\)
0.564437 + 0.825476i \(0.309093\pi\)
\(542\) −5.53065 + 11.9761i −0.237562 + 0.514416i
\(543\) 5.88781 + 5.88781i 0.252670 + 0.252670i
\(544\) 5.23658 + 26.7889i 0.224516 + 1.14857i
\(545\) −16.6333 + 16.6333i −0.712494 + 0.712494i
\(546\) −2.88717 7.84199i −0.123559 0.335606i
\(547\) 4.58003 15.0983i 0.195828 0.645559i −0.802946 0.596052i \(-0.796735\pi\)
0.998774 0.0495066i \(-0.0157649\pi\)
\(548\) −22.2688 + 28.1711i −0.951277 + 1.20341i
\(549\) −1.31307 + 13.3318i −0.0560403 + 0.568987i
\(550\) 0.902743 + 15.4820i 0.0384931 + 0.660156i
\(551\) −69.8470 13.8934i −2.97558 0.591880i
\(552\) −8.32558 + 5.30628i −0.354360 + 0.225850i
\(553\) 0.764130 + 3.84154i 0.0324941 + 0.163359i
\(554\) −6.67158 + 11.3656i −0.283448 + 0.482876i
\(555\) 4.20237 7.86209i 0.178381 0.333727i
\(556\) −5.54461 25.4317i −0.235144 1.07854i
\(557\) 1.77493 + 18.0212i 0.0752064 + 0.763583i 0.956640 + 0.291274i \(0.0940792\pi\)
−0.881433 + 0.472309i \(0.843421\pi\)
\(558\) −1.14234 7.24348i −0.0483592 0.306641i
\(559\) 5.99515 + 14.4736i 0.253568 + 0.612167i
\(560\) 6.05116 12.3921i 0.255708 0.523661i
\(561\) −10.1875 + 24.5949i −0.430118 + 1.03840i
\(562\) −24.0033 5.77949i −1.01252 0.243793i
\(563\) 16.2851 + 13.3648i 0.686334 + 0.563260i 0.911621 0.411033i \(-0.134832\pi\)
−0.225287 + 0.974293i \(0.572332\pi\)
\(564\) −10.2936 + 10.6776i −0.433437 + 0.449609i
\(565\) −43.1899 + 13.1015i −1.81701 + 0.551185i
\(566\) 2.20132 15.8378i 0.0925284 0.665714i
\(567\) −1.08443 0.724595i −0.0455419 0.0304301i
\(568\) −21.4652 + 10.8834i −0.900659 + 0.456659i
\(569\) 4.70033 + 7.03454i 0.197048 + 0.294903i 0.916815 0.399313i \(-0.130751\pi\)
−0.719767 + 0.694216i \(0.755751\pi\)
\(570\) −8.41613 + 24.2183i −0.352513 + 1.01439i
\(571\) −12.0258 14.6535i −0.503264 0.613229i 0.457968 0.888969i \(-0.348577\pi\)
−0.961232 + 0.275739i \(0.911077\pi\)
\(572\) 44.5124 + 22.7545i 1.86116 + 0.951412i
\(573\) −5.87339 + 3.13939i −0.245364 + 0.131150i
\(574\) 11.1623 10.3047i 0.465907 0.430108i
\(575\) 6.93807i 0.289337i
\(576\) 5.89609 5.40704i 0.245671 0.225293i
\(577\) 4.63587i 0.192994i 0.995333 + 0.0964969i \(0.0307638\pi\)
−0.995333 + 0.0964969i \(0.969236\pi\)
\(578\) 6.02756 + 6.52924i 0.250713 + 0.271580i
\(579\) 11.5111 6.15281i 0.478385 0.255702i
\(580\) 52.2327 16.8951i 2.16885 0.701529i
\(581\) 3.92849 + 4.78688i 0.162981 + 0.198593i
\(582\) −0.139317 0.0484144i −0.00577489 0.00200684i
\(583\) −5.98291 8.95405i −0.247787 0.370839i
\(584\) −7.65547 + 8.92746i −0.316786 + 0.369421i
\(585\) −9.95795 6.65369i −0.411711 0.275096i
\(586\) −6.29575 0.875053i −0.260075 0.0361481i
\(587\) −35.4432 + 10.7516i −1.46290 + 0.443764i −0.918620 0.395142i \(-0.870695\pi\)
−0.544275 + 0.838907i \(0.683195\pi\)
\(588\) 10.5962 0.194054i 0.436978 0.00800265i
\(589\) 27.4898 + 22.5603i 1.13270 + 0.929582i
\(590\) −2.17947 + 9.05174i −0.0897272 + 0.372654i
\(591\) −1.13612 + 2.74283i −0.0467335 + 0.112825i
\(592\) 3.44057 13.0435i 0.141406 0.536087i
\(593\) −11.1871 27.0081i −0.459400 1.10909i −0.968641 0.248466i \(-0.920074\pi\)
0.509240 0.860624i \(-0.329926\pi\)
\(594\) 7.70702 1.21545i 0.316223 0.0498703i
\(595\) −1.63060 16.5558i −0.0668482 0.678721i
\(596\) 11.6240 + 7.46272i 0.476138 + 0.305685i
\(597\) −6.21500 + 11.6275i −0.254363 + 0.475880i
\(598\) 19.2875 + 11.3218i 0.788725 + 0.462981i
\(599\) 2.98137 + 14.9884i 0.121816 + 0.612408i 0.992669 + 0.120865i \(0.0385669\pi\)
−0.870853 + 0.491543i \(0.836433\pi\)
\(600\) −0.977333 5.53637i −0.0398995 0.226021i
\(601\) −34.1774 6.79831i −1.39413 0.277309i −0.559822 0.828613i \(-0.689130\pi\)
−0.834304 + 0.551304i \(0.814130\pi\)
\(602\) 6.36704 0.371256i 0.259501 0.0151313i
\(603\) 0.127741 1.29698i 0.00520202 0.0528170i
\(604\) 45.1205 5.27983i 1.83593 0.214833i
\(605\) −14.9154 + 49.1696i −0.606399 + 1.99903i
\(606\) −3.75537 + 1.38261i −0.152551 + 0.0561645i
\(607\) −4.24814 + 4.24814i −0.172427 + 0.172427i −0.788045 0.615618i \(-0.788906\pi\)
0.615618 + 0.788045i \(0.288906\pi\)
\(608\) −3.93046 + 38.5971i −0.159401 + 1.56532i
\(609\) −9.57626 9.57626i −0.388049 0.388049i
\(610\) 45.4661 + 20.9966i 1.84087 + 0.850129i
\(611\) 32.1509 + 9.75287i 1.30069 + 0.394559i
\(612\) 2.63185 9.28477i 0.106386 0.375315i
\(613\) 12.2410 + 1.20563i 0.494408 + 0.0486950i 0.342149 0.939646i \(-0.388845\pi\)
0.152259 + 0.988341i \(0.451345\pi\)
\(614\) 1.87762 2.11014i 0.0757745 0.0851584i
\(615\) 4.24749 21.3536i 0.171275 0.861060i
\(616\) 14.6988 14.0766i 0.592232 0.567162i
\(617\) −8.51852 + 1.69444i −0.342943 + 0.0682156i −0.363557 0.931572i \(-0.618438\pi\)
0.0206142 + 0.999788i \(0.493438\pi\)
\(618\) 3.91204 + 15.0325i 0.157365 + 0.604694i
\(619\) −29.5892 15.8157i −1.18929 0.635688i −0.246520 0.969138i \(-0.579287\pi\)
−0.942768 + 0.333450i \(0.891787\pi\)
\(620\) −26.9801 4.85488i −1.08355 0.194977i
\(621\) 3.47375 0.342135i 0.139397 0.0137294i
\(622\) 5.58258 7.67308i 0.223841 0.307662i
\(623\) −15.8169 + 6.55156i −0.633690 + 0.262483i
\(624\) −16.9857 6.31748i −0.679972 0.252901i
\(625\) 28.6287 + 11.8584i 1.14515 + 0.474336i
\(626\) −0.573291 + 0.350792i −0.0229133 + 0.0140205i
\(627\) −24.0041 + 29.2490i −0.958630 + 1.16809i
\(628\) 10.9584 + 4.30575i 0.437286 + 0.171818i
\(629\) −4.72378 15.5722i −0.188349 0.620904i
\(630\) −3.88945 + 2.94019i −0.154959 + 0.117140i
\(631\) 9.53136 14.2647i 0.379437 0.567868i −0.591769 0.806107i \(-0.701570\pi\)
0.971206 + 0.238239i \(0.0765703\pi\)
\(632\) 7.40286 + 4.16513i 0.294470 + 0.165680i
\(633\) −14.3917 + 9.61621i −0.572018 + 0.382210i
\(634\) 18.5737 + 38.3582i 0.737656 + 1.52340i
\(635\) 2.61883 2.14922i 0.103925 0.0852892i
\(636\) 2.53144 + 2.97189i 0.100378 + 0.117843i
\(637\) −11.3171 21.1728i −0.448400 0.838897i
\(638\) 80.9523 + 3.23427i 3.20493 + 0.128046i
\(639\) 8.50884 0.336605
\(640\) −11.8581 27.4555i −0.468733 1.08528i
\(641\) 43.1940 1.70606 0.853030 0.521863i \(-0.174763\pi\)
0.853030 + 0.521863i \(0.174763\pi\)
\(642\) −24.5969 0.982714i −0.970760 0.0387846i
\(643\) −19.7155 36.8851i −0.777504 1.45461i −0.887565 0.460683i \(-0.847604\pi\)
0.110061 0.993925i \(-0.464896\pi\)
\(644\) 6.93134 5.90408i 0.273133 0.232653i
\(645\) 7.06569 5.79866i 0.278211 0.228322i
\(646\) 20.3967 + 42.1229i 0.802496 + 1.65730i
\(647\) −11.6351 + 7.77435i −0.457425 + 0.305641i −0.762851 0.646574i \(-0.776201\pi\)
0.305426 + 0.952216i \(0.401201\pi\)
\(648\) −2.72375 + 0.762344i −0.106999 + 0.0299477i
\(649\) −7.63368 + 11.4246i −0.299648 + 0.448455i
\(650\) −10.1594 + 7.67987i −0.398483 + 0.301229i
\(651\) 1.96312 + 6.47155i 0.0769409 + 0.253640i
\(652\) −7.56498 + 19.2533i −0.296267 + 0.754016i
\(653\) −20.9889 + 25.5751i −0.821360 + 1.00083i 0.178498 + 0.983940i \(0.442876\pi\)
−0.999857 + 0.0168894i \(0.994624\pi\)
\(654\) 10.7346 6.56839i 0.419755 0.256845i
\(655\) −19.7745 8.19089i −0.772656 0.320044i
\(656\) −1.20628 32.9230i −0.0470975 1.28543i
\(657\) 3.84141 1.59116i 0.149868 0.0620772i
\(658\) 8.04704 11.0604i 0.313706 0.431179i
\(659\) −7.40768 + 0.729592i −0.288562 + 0.0284209i −0.241263 0.970460i \(-0.577562\pi\)
−0.0472995 + 0.998881i \(0.515062\pi\)
\(660\) 5.16557 28.7067i 0.201070 1.11741i
\(661\) −28.9355 15.4663i −1.12546 0.601571i −0.199766 0.979844i \(-0.564018\pi\)
−0.925694 + 0.378272i \(0.876518\pi\)
\(662\) 0.786946 + 3.02392i 0.0305855 + 0.117528i
\(663\) −21.4415 + 4.26497i −0.832718 + 0.165638i
\(664\) 13.4262 + 0.290320i 0.521038 + 0.0112666i
\(665\) 4.61294 23.1908i 0.178882 0.899302i
\(666\) −3.17039 + 3.56301i −0.122850 + 0.138064i
\(667\) 36.0706 + 3.55264i 1.39666 + 0.137559i
\(668\) 5.19705 + 1.47315i 0.201080 + 0.0569978i
\(669\) 1.25806 + 0.381629i 0.0486395 + 0.0147546i
\(670\) −4.42315 2.04265i −0.170881 0.0789144i
\(671\) 52.2608 + 52.2608i 2.01750 + 2.01750i
\(672\) −4.69932 + 5.68766i −0.181280 + 0.219406i
\(673\) 11.8861 11.8861i 0.458177 0.458177i −0.439880 0.898057i \(-0.644979\pi\)
0.898057 + 0.439880i \(0.144979\pi\)
\(674\) −1.70738 + 0.628602i −0.0657657 + 0.0242128i
\(675\) −0.576989 + 1.90208i −0.0222083 + 0.0732110i
\(676\) 1.74951 + 14.9510i 0.0672887 + 0.575038i
\(677\) 3.59961 36.5474i 0.138344 1.40463i −0.635913 0.771761i \(-0.719376\pi\)
0.774257 0.632871i \(-0.218124\pi\)
\(678\) 24.1051 1.40555i 0.925751 0.0539797i
\(679\) 0.133407 + 0.0265363i 0.00511968 + 0.00101837i
\(680\) −29.5569 20.6873i −1.13345 0.793321i
\(681\) −4.55291 22.8890i −0.174468 0.877110i
\(682\) −34.8897 20.4802i −1.33599 0.784228i
\(683\) 20.8169 38.9456i 0.796536 1.49021i −0.0735382 0.997292i \(-0.523429\pi\)
0.870074 0.492921i \(-0.164071\pi\)
\(684\) 7.41048 11.5426i 0.283347 0.441344i
\(685\) −4.65212 47.2337i −0.177748 1.80471i
\(686\) −22.4081 + 3.53390i −0.855546 + 0.134925i
\(687\) 10.3788 + 25.0566i 0.395975 + 0.955969i
\(688\) 8.37712 11.0058i 0.319375 0.419594i
\(689\) 3.38426 8.17033i 0.128930 0.311265i
\(690\) 3.05462 12.6864i 0.116287 0.482963i
\(691\) −0.381879 0.313400i −0.0145273 0.0119223i 0.627102 0.778937i \(-0.284241\pi\)
−0.641629 + 0.767015i \(0.721741\pi\)
\(692\) 0.221399 + 12.0893i 0.00841632 + 0.459566i
\(693\) −6.88569 + 2.08875i −0.261566 + 0.0793451i
\(694\) −19.5582 2.71841i −0.742417 0.103189i
\(695\) 28.6049 + 19.1132i 1.08505 + 0.725005i
\(696\) −29.2837 + 2.24619i −1.10999 + 0.0851417i
\(697\) −22.0797 33.0446i −0.836328 1.25165i
\(698\) −23.0800 8.02057i −0.873592 0.303583i
\(699\) 0.410001 + 0.499588i 0.0155077 + 0.0188962i
\(700\) 1.59566 + 4.93313i 0.0603102 + 0.186455i
\(701\) −36.5186 + 19.5196i −1.37929 + 0.737244i −0.983468 0.181084i \(-0.942039\pi\)
−0.395820 + 0.918328i \(0.629539\pi\)
\(702\) 4.34614 + 4.70787i 0.164034 + 0.177687i
\(703\) 23.1293i 0.872337i
\(704\) −2.42340 44.0698i −0.0913353 1.66094i
\(705\) 19.6027i 0.738282i
\(706\) −13.6694 + 12.6191i −0.514456 + 0.474927i
\(707\) 3.25482 1.73974i 0.122410 0.0654295i
\(708\) 2.26721 4.43513i 0.0852069 0.166682i
\(709\) 26.2244 + 31.9546i 0.984880 + 1.20008i 0.979777 + 0.200093i \(0.0641243\pi\)
0.00510277 + 0.999987i \(0.498376\pi\)
\(710\) 10.4415 30.0465i 0.391863 1.12763i
\(711\) −1.66845 2.49702i −0.0625719 0.0936455i
\(712\) −11.5430 + 35.2873i −0.432594 + 1.32245i
\(713\) −15.0490 10.0554i −0.563590 0.376579i
\(714\) −1.22526 + 8.81536i −0.0458541 + 0.329906i
\(715\) −63.2288 + 19.1802i −2.36462 + 0.717300i
\(716\) 11.3460 + 10.9379i 0.424021 + 0.408770i
\(717\) −9.25736 7.59732i −0.345722 0.283727i
\(718\) 7.72949 + 1.86110i 0.288462 + 0.0694555i
\(719\) −4.92955 + 11.9010i −0.183841 + 0.443832i −0.988752 0.149564i \(-0.952213\pi\)
0.804911 + 0.593396i \(0.202213\pi\)
\(720\) −0.650416 + 10.5537i −0.0242396 + 0.393311i
\(721\) −5.48202 13.2348i −0.204161 0.492889i
\(722\) 6.17676 + 39.1662i 0.229875 + 1.45762i
\(723\) −0.141323 1.43488i −0.00525587 0.0533637i
\(724\) −16.2710 + 3.54741i −0.604708 + 0.131839i
\(725\) −9.72936 + 18.2024i −0.361339 + 0.676018i
\(726\) 13.9158 23.7066i 0.516463 0.879835i
\(727\) −0.149018 0.749162i −0.00552676 0.0277849i 0.977924 0.208963i \(-0.0670089\pi\)
−0.983450 + 0.181178i \(0.942009\pi\)
\(728\) 16.3177 + 3.61419i 0.604775 + 0.133951i
\(729\) 0.980785 + 0.195090i 0.0363254 + 0.00722557i
\(730\) −0.904806 15.5174i −0.0334884 0.574325i
\(731\) 1.63542 16.6047i 0.0604880 0.614145i
\(732\) −21.0187 16.6150i −0.776873 0.614106i
\(733\) −0.916569 + 3.02152i −0.0338543 + 0.111603i −0.972239 0.233989i \(-0.924822\pi\)
0.938385 + 0.345592i \(0.112322\pi\)
\(734\) −1.04558 2.83995i −0.0385930 0.104824i
\(735\) −9.90472 + 9.90472i −0.365341 + 0.365341i
\(736\) 0.0653268 19.7455i 0.00240798 0.727828i
\(737\) −5.08417 5.08417i −0.187278 0.187278i
\(738\) −4.88349 + 10.5747i −0.179764 + 0.389260i
\(739\) 28.1661 + 8.54410i 1.03611 + 0.314300i 0.762122 0.647434i \(-0.224158\pi\)
0.273986 + 0.961734i \(0.411658\pi\)
\(740\) 8.69126 + 15.5676i 0.319497 + 0.572278i
\(741\) −30.9230 3.04565i −1.13598 0.111885i
\(742\) −2.68967 2.39329i −0.0987409 0.0878603i
\(743\) 5.84241 29.3718i 0.214337 1.07755i −0.712382 0.701792i \(-0.752384\pi\)
0.926719 0.375755i \(-0.122616\pi\)
\(744\) 13.4251 + 5.90405i 0.492189 + 0.216453i
\(745\) −17.9065 + 3.56182i −0.656043 + 0.130495i
\(746\) 19.0381 4.95447i 0.697034 0.181396i
\(747\) −4.18736 2.23819i −0.153207 0.0818910i
\(748\) −30.3857 43.7206i −1.11101 1.59858i
\(749\) 22.5929 2.22520i 0.825525 0.0813071i
\(750\) −9.10611 6.62519i −0.332508 0.241918i
\(751\) 6.57695 2.72426i 0.239996 0.0994098i −0.259444 0.965758i \(-0.583539\pi\)
0.499440 + 0.866349i \(0.333539\pi\)
\(752\) −6.84826 28.8613i −0.249730 1.05246i
\(753\) 17.7409 + 7.34854i 0.646516 + 0.267796i
\(754\) 34.7250 + 56.7503i 1.26461 + 2.06672i
\(755\) −38.0910 + 46.4140i −1.38627 + 1.68918i
\(756\) 2.39123 1.04218i 0.0869683 0.0379037i
\(757\) 0.838680 + 2.76476i 0.0304823 + 0.100487i 0.970862 0.239641i \(-0.0770297\pi\)
−0.940379 + 0.340128i \(0.889530\pi\)
\(758\) −15.0086 19.8543i −0.545138 0.721140i
\(759\) 10.6989 16.0121i 0.388346 0.581201i
\(760\) −31.6659 40.3324i −1.14864 1.46301i
\(761\) 6.82770 4.56212i 0.247504 0.165377i −0.425630 0.904897i \(-0.639948\pi\)
0.673134 + 0.739520i \(0.264948\pi\)
\(762\) −1.63129 + 0.789900i −0.0590954 + 0.0286151i
\(763\) −8.97161 + 7.36281i −0.324794 + 0.266552i
\(764\) 1.06261 13.2771i 0.0384438 0.480347i
\(765\) 6.01279 + 11.2491i 0.217393 + 0.406713i
\(766\) −0.183444 + 4.59153i −0.00662812 + 0.165899i
\(767\) −11.2836 −0.407426
\(768\) 2.72932 + 15.7655i 0.0984860 + 0.568888i
\(769\) 3.70261 0.133520 0.0667598 0.997769i \(-0.478734\pi\)
0.0667598 + 0.997769i \(0.478734\pi\)
\(770\) −1.07385 + 26.8780i −0.0386990 + 0.968617i
\(771\) 6.14306 + 11.4929i 0.221237 + 0.413905i
\(772\) −2.08258 + 26.0214i −0.0749537 + 0.936530i
\(773\) 10.0357 8.23611i 0.360960 0.296232i −0.436380 0.899762i \(-0.643740\pi\)
0.797340 + 0.603530i \(0.206240\pi\)
\(774\) −4.40127 + 2.13117i −0.158200 + 0.0766035i
\(775\) 8.56953 5.72597i 0.307826 0.205683i
\(776\) 0.232015 0.182160i 0.00832885 0.00653917i
\(777\) 2.44364 3.65717i 0.0876652 0.131200i
\(778\) 7.70745 + 10.1959i 0.276325 + 0.365539i
\(779\) −16.3974 54.0550i −0.587498 1.93672i
\(780\) 21.9578 9.56995i 0.786216 0.342659i
\(781\) 29.7807 36.2879i 1.06564 1.29848i
\(782\) −12.4322 20.3177i −0.444576 0.726560i
\(783\) 9.59333 + 3.97369i 0.342838 + 0.142008i
\(784\) −11.1226 + 18.0431i −0.397236 + 0.644395i
\(785\) −14.3771 + 5.95520i −0.513142 + 0.212550i
\(786\) 9.25953 + 6.73681i 0.330276 + 0.240294i
\(787\) 52.8487 5.20515i 1.88385 0.185543i 0.910292 0.413966i \(-0.135857\pi\)
0.973562 + 0.228423i \(0.0733568\pi\)
\(788\) −3.38861 4.87572i −0.120714 0.173691i
\(789\) −23.8508 12.7485i −0.849112 0.453860i
\(790\) −10.8649 + 2.82749i −0.386557 + 0.100597i
\(791\) −21.8404 + 4.34434i −0.776557 + 0.154467i
\(792\) −6.28187 + 14.2843i −0.223217 + 0.507569i
\(793\) −11.8407 + 59.5273i −0.420476 + 2.11387i
\(794\) 0.409264 + 0.364166i 0.0145242 + 0.0129238i
\(795\) −5.13496 0.505749i −0.182118 0.0179371i
\(796\) −12.8537 23.0234i −0.455589 0.816043i
\(797\) −38.1866 11.5838i −1.35264 0.410319i −0.470954 0.882158i \(-0.656090\pi\)
−0.881685 + 0.471839i \(0.843590\pi\)
\(798\) −5.30366 + 11.4845i −0.187747 + 0.406548i
\(799\) −25.3022 25.3022i −0.895129 0.895129i
\(800\) 10.3738 + 4.33721i 0.366768 + 0.153344i
\(801\) 9.28183 9.28183i 0.327957 0.327957i
\(802\) −1.42837 3.87968i −0.0504376 0.136996i
\(803\) 6.65894 21.9516i 0.234989 0.774655i
\(804\) 2.04479 + 1.61638i 0.0721143 + 0.0570053i
\(805\) −1.17956 + 11.9763i −0.0415740 + 0.422108i
\(806\) −1.93392 33.1667i −0.0681195 1.16825i
\(807\) 15.5131 + 3.08575i 0.546088 + 0.108624i
\(808\) 1.73076 7.81422i 0.0608879 0.274903i
\(809\) −5.37701 27.0320i −0.189046 0.950396i −0.952501 0.304536i \(-0.901499\pi\)
0.763455 0.645860i \(-0.223501\pi\)
\(810\) 1.89246 3.22396i 0.0664944 0.113278i
\(811\) −15.6014 + 29.1882i −0.547840 + 1.02494i 0.443827 + 0.896112i \(0.353620\pi\)
−0.991667 + 0.128824i \(0.958880\pi\)
\(812\) 26.4641 5.76971i 0.928707 0.202477i
\(813\) 0.914280 + 9.28284i 0.0320652 + 0.325563i
\(814\) 4.09899 + 25.9913i 0.143670 + 0.910996i
\(815\) −10.4630 25.2599i −0.366502 0.884815i
\(816\) 12.7826 + 14.4617i 0.447481 + 0.506259i
\(817\) 9.07533 21.9098i 0.317506 0.766526i
\(818\) −22.9126 5.51687i −0.801120 0.192893i
\(819\) −4.56772 3.74863i −0.159609 0.130988i
\(820\) 31.3488 + 30.2212i 1.09475 + 1.05537i
\(821\) −31.9132 + 9.68075i −1.11378 + 0.337861i −0.792956 0.609279i \(-0.791459\pi\)
−0.320821 + 0.947140i \(0.603959\pi\)
\(822\) −3.49566 + 25.1503i −0.121925 + 0.877216i
\(823\) 37.0722 + 24.7708i 1.29225 + 0.863456i 0.995797 0.0915897i \(-0.0291948\pi\)
0.296457 + 0.955046i \(0.404195\pi\)
\(824\) −29.5267 9.65865i −1.02861 0.336475i
\(825\) 6.09241 + 9.11793i 0.212110 + 0.317446i
\(826\) −1.50790 + 4.33913i −0.0524665 + 0.150978i
\(827\) 17.3480 + 21.1387i 0.603251 + 0.735063i 0.981674 0.190570i \(-0.0610335\pi\)
−0.378423 + 0.925633i \(0.623534\pi\)
\(828\) −3.17759 + 6.21602i −0.110429 + 0.216022i
\(829\) −12.8191 + 6.85197i −0.445227 + 0.237979i −0.678745 0.734374i \(-0.737476\pi\)
0.233519 + 0.972352i \(0.424976\pi\)
\(830\) −13.0420 + 12.0399i −0.452694 + 0.417911i
\(831\) 9.31895i 0.323271i
\(832\) 28.9855 21.7609i 1.00489 0.754425i
\(833\) 25.5690i 0.885915i
\(834\) −12.4846 13.5237i −0.432306 0.468288i
\(835\) −6.29659 + 3.36560i −0.217902 + 0.116471i
\(836\) −23.2898 72.0027i −0.805494 2.49027i
\(837\) −3.28947 4.00823i −0.113701 0.138545i
\(838\) −51.4853 17.8917i −1.77853 0.618060i
\(839\) −9.74768 14.5884i −0.336527 0.503649i 0.624154 0.781301i \(-0.285444\pi\)
−0.960682 + 0.277652i \(0.910444\pi\)
\(840\) −0.745788 9.72286i −0.0257321 0.335470i
\(841\) 65.5383 + 43.7913i 2.25994 + 1.51004i
\(842\) −3.38545 0.470548i −0.116670 0.0162162i
\(843\) −16.7062 + 5.06779i −0.575394 + 0.174544i
\(844\) −0.633865 34.6116i −0.0218185 1.19138i
\(845\) −15.3796 12.6217i −0.529074 0.434200i
\(846\) −2.45497 + 10.1960i −0.0844036 + 0.350544i
\(847\) −9.70157 + 23.4217i −0.333350 + 0.804778i
\(848\) −7.73694 + 1.04929i −0.265688 + 0.0360326i
\(849\) −4.32689 10.4460i −0.148498 0.358507i
\(850\) 13.3982 2.11298i 0.459555 0.0724747i
\(851\) 1.15382 + 11.7150i 0.0395525 + 0.401583i
\(852\) −9.19385 + 14.3204i −0.314976 + 0.490610i
\(853\) −11.3024 + 21.1454i −0.386988 + 0.724003i −0.997695 0.0678529i \(-0.978385\pi\)
0.610707 + 0.791856i \(0.290885\pi\)
\(854\) 21.3091 + 12.5084i 0.729182 + 0.428029i
\(855\) 3.53689 + 17.7812i 0.120959 + 0.608103i
\(856\) 28.2309 40.3348i 0.964913 1.37862i
\(857\) −30.6297 6.09263i −1.04629 0.208120i −0.358125 0.933673i \(-0.616584\pi\)
−0.688166 + 0.725553i \(0.741584\pi\)
\(858\) 35.2892 2.05768i 1.20475 0.0702481i
\(859\) 1.41130 14.3291i 0.0481528 0.488904i −0.940618 0.339466i \(-0.889754\pi\)
0.988771 0.149438i \(-0.0477463\pi\)
\(860\) 2.12467 + 18.1571i 0.0724506 + 0.619151i
\(861\) 3.11826 10.2795i 0.106270 0.350325i
\(862\) 5.79467 2.13341i 0.197367 0.0726643i
\(863\) 1.20779 1.20779i 0.0411136 0.0411136i −0.686251 0.727365i \(-0.740745\pi\)
0.727365 + 0.686251i \(0.240745\pi\)
\(864\) 1.66000 5.40781i 0.0564743 0.183977i
\(865\) −11.3004 11.3004i −0.384226 0.384226i
\(866\) 50.5577 + 23.3480i 1.71802 + 0.793397i
\(867\) 6.01284 + 1.82398i 0.204207 + 0.0619455i
\(868\) −13.0128 3.68859i −0.441684 0.125199i
\(869\) −16.4886 1.62399i −0.559339 0.0550901i
\(870\) 25.8043 28.9998i 0.874847 0.983187i
\(871\) 1.15192 5.79108i 0.0390313 0.196223i
\(872\) −0.544121 + 25.1635i −0.0184263 + 0.852145i
\(873\) −0.102287 + 0.0203462i −0.00346190 + 0.000688614i
\(874\) −8.52656 32.7642i −0.288415 1.10827i
\(875\) 9.15916 + 4.89567i 0.309636 + 0.165504i
\(876\) −1.47272 + 8.18437i −0.0497587 + 0.276524i
\(877\) −29.9619 + 2.95099i −1.01174 + 0.0996479i −0.590280 0.807198i \(-0.700983\pi\)
−0.421462 + 0.906846i \(0.638483\pi\)
\(878\) −18.7617 + 25.7874i −0.633177 + 0.870281i
\(879\) −4.15243 + 1.71999i −0.140058 + 0.0580139i
\(880\) 42.7321 + 39.7114i 1.44050 + 1.33867i
\(881\) −15.2887 6.33277i −0.515088 0.213357i 0.109970 0.993935i \(-0.464925\pi\)
−0.625058 + 0.780578i \(0.714925\pi\)
\(882\) 6.39216 3.91131i 0.215235 0.131701i
\(883\) 27.9985 34.1163i 0.942225 1.14810i −0.0465836 0.998914i \(-0.514833\pi\)
0.988809 0.149190i \(-0.0476666\pi\)
\(884\) 15.9896 40.6945i 0.537790 1.36870i
\(885\) 1.91108 + 6.29998i 0.0642402 + 0.211772i
\(886\) −14.6524 + 11.0763i −0.492257 + 0.372117i
\(887\) 15.9417 23.8584i 0.535269 0.801087i −0.460999 0.887401i \(-0.652509\pi\)
0.996268 + 0.0863140i \(0.0275088\pi\)
\(888\) −2.57095 9.18565i −0.0862753 0.308250i
\(889\) 1.38982 0.928649i 0.0466131 0.0311459i
\(890\) −21.3861 44.1662i −0.716862 1.48045i
\(891\) 4.26473 3.49997i 0.142874 0.117254i
\(892\) −2.00163 + 1.70498i −0.0670194 + 0.0570868i
\(893\) −23.9749 44.8539i −0.802290 1.50098i
\(894\) 9.75976 + 0.389930i 0.326415 + 0.0130412i
\(895\) −20.8299 −0.696265
\(896\) −4.49473 14.0545i −0.150158 0.469529i
\(897\) 15.8144 0.528027
\(898\) −8.52955 0.340780i −0.284635 0.0113720i
\(899\) −25.3809 47.4844i −0.846501 1.58369i
\(900\) −2.57777 3.02628i −0.0859257 0.100876i
\(901\) −7.28074 + 5.97515i −0.242557 + 0.199061i
\(902\) 28.0061 + 57.8379i 0.932502 + 1.92579i
\(903\) 3.74978 2.50552i 0.124785 0.0833786i
\(904\) −23.6801 + 42.0877i −0.787590 + 1.39982i
\(905\) 12.2285 18.3013i 0.406490 0.608355i
\(906\) 25.6249 19.3709i 0.851331 0.643555i
\(907\) −13.9149 45.8712i −0.462036 1.52313i −0.810461 0.585792i \(-0.800783\pi\)
0.348425 0.937337i \(-0.386717\pi\)
\(908\) 43.4418 + 17.0691i 1.44167 + 0.566459i
\(909\) −1.79514 + 2.18739i −0.0595411 + 0.0725510i
\(910\) −18.8424 + 11.5295i −0.624620 + 0.382200i
\(911\) 43.5961 + 18.0581i 1.44440 + 0.598291i 0.960861 0.277030i \(-0.0893501\pi\)
0.483542 + 0.875321i \(0.339350\pi\)
\(912\) 11.4193 + 24.9438i 0.378130 + 0.825971i
\(913\) −24.2009 + 10.0243i −0.800933 + 0.331757i
\(914\) −0.971154 + 1.33482i −0.0321229 + 0.0441520i
\(915\) 35.2415 3.47098i 1.16505 0.114747i
\(916\) −53.3848 9.60623i −1.76388 0.317399i
\(917\) −9.31347 4.97815i −0.307558 0.164393i
\(918\) −1.71863 6.60402i −0.0567232 0.217965i
\(919\) −26.3343 + 5.23823i −0.868690 + 0.172793i −0.609262 0.792969i \(-0.708534\pi\)
−0.259428 + 0.965762i \(0.583534\pi\)
\(920\) 18.0508 + 18.8487i 0.595116 + 0.621422i
\(921\) 0.389647 1.95889i 0.0128393 0.0645476i
\(922\) 19.5751 21.9993i 0.644672 0.724507i
\(923\) 38.3647 + 3.77859i 1.26279 + 0.124374i
\(924\) 3.92464 13.8456i 0.129111 0.455486i
\(925\) −6.41461 1.94585i −0.210911 0.0639792i
\(926\) 13.8622 + 6.40168i 0.455540 + 0.210372i
\(927\) 7.76658 + 7.76658i 0.255088 + 0.255088i
\(928\) 27.8608 51.7116i 0.914575 1.69752i
\(929\) 36.7135 36.7135i 1.20453 1.20453i 0.231755 0.972774i \(-0.425553\pi\)
0.972774 0.231755i \(-0.0744469\pi\)
\(930\) −18.1905 + 6.69717i −0.596491 + 0.219609i
\(931\) −10.5496 + 34.7773i −0.345748 + 1.13978i
\(932\) −1.28382 + 0.150227i −0.0420529 + 0.00492086i
\(933\) 0.657670 6.67743i 0.0215311 0.218609i
\(934\) −39.2483 + 2.28854i −1.28424 + 0.0748832i
\(935\) 69.0191 + 13.7288i 2.25717 + 0.448978i
\(936\) −12.6194 + 2.22770i −0.412478 + 0.0728146i
\(937\) −6.78156 34.0932i −0.221544 1.11378i −0.918123 0.396296i \(-0.870295\pi\)
0.696579 0.717480i \(-0.254705\pi\)
\(938\) −2.07304 1.21688i −0.0676873 0.0397324i
\(939\) −0.224029 + 0.419130i −0.00731093 + 0.0136778i
\(940\) 32.9915 + 21.1809i 1.07607 + 0.690843i
\(941\) 3.65115 + 37.0707i 0.119024 + 1.20847i 0.850266 + 0.526353i \(0.176441\pi\)
−0.731242 + 0.682118i \(0.761059\pi\)
\(942\) 8.22378 1.29694i 0.267945 0.0422566i
\(943\) 11.0018 + 26.5608i 0.358269 + 0.864939i
\(944\) 5.01462 + 8.60790i 0.163212 + 0.280163i
\(945\) −1.31936 + 3.18521i −0.0429187 + 0.103615i
\(946\) −6.31546 + 26.2293i −0.205333 + 0.852788i
\(947\) −1.02266 0.839272i −0.0332319 0.0272727i 0.617631 0.786468i \(-0.288093\pi\)
−0.650863 + 0.759196i \(0.725593\pi\)
\(948\) 6.00527 0.109978i 0.195042 0.00357193i
\(949\) 18.0267 5.46835i 0.585173 0.177510i
\(950\) 19.0952 + 2.65406i 0.619529 + 0.0861091i
\(951\) 25.0570 + 16.7425i 0.812529 + 0.542914i
\(952\) −13.5124 11.5871i −0.437939 0.375542i
\(953\) 28.9388 + 43.3099i 0.937418 + 1.40295i 0.915114 + 0.403194i \(0.132100\pi\)
0.0223036 + 0.999751i \(0.492900\pi\)
\(954\) 2.60750 + 0.906136i 0.0844210 + 0.0293373i
\(955\) 11.1682 + 13.6085i 0.361395 + 0.440361i
\(956\) 22.7890 7.37125i 0.737048 0.238403i
\(957\) 50.5231 27.0052i 1.63318 0.872953i
\(958\) 16.2166 + 17.5663i 0.523934 + 0.567541i
\(959\) 23.4174i 0.756188i
\(960\) −17.0591 12.4979i −0.550580 0.403369i
\(961\) 4.11354i 0.132695i
\(962\) −15.8769 + 14.6570i −0.511893 + 0.472561i
\(963\) −15.3511 + 8.20536i −0.494684 + 0.264414i
\(964\) 2.56761 + 1.31255i 0.0826972 + 0.0422743i
\(965\) −21.8883 26.6709i −0.704609 0.858568i
\(966\) 2.11338 6.08148i 0.0679970 0.195668i
\(967\) 28.1354 + 42.1076i 0.904774 + 1.35409i 0.935038 + 0.354548i \(0.115365\pi\)
−0.0302634 + 0.999542i \(0.509635\pi\)
\(968\) 24.8623 + 49.0354i 0.799105 + 1.57606i
\(969\) 27.5163 + 18.3858i 0.883950 + 0.590636i
\(970\) −0.0536736 + 0.386166i −0.00172336 + 0.0123990i
\(971\) 23.2382 7.04924i 0.745751 0.226221i 0.105534 0.994416i \(-0.466345\pi\)
0.640216 + 0.768195i \(0.278845\pi\)
\(972\) −1.38808 + 1.43987i −0.0445227 + 0.0461839i
\(973\) 13.1211 + 10.7682i 0.420643 + 0.345213i
\(974\) −5.63450 1.35667i −0.180541 0.0434704i
\(975\) −3.44620 + 8.31987i −0.110367 + 0.266449i
\(976\) 50.6739 17.4221i 1.62203 0.557666i
\(977\) −21.0737 50.8763i −0.674206 1.62768i −0.774390 0.632708i \(-0.781943\pi\)
0.100184 0.994969i \(-0.468057\pi\)
\(978\) 2.27866 + 14.4487i 0.0728634 + 0.462020i
\(979\) −7.09834 72.0707i −0.226864 2.30339i
\(980\) −5.96761 27.3718i −0.190628 0.874360i
\(981\) 4.19484 7.84799i 0.133931 0.250567i
\(982\) −19.6201 + 33.4243i −0.626101 + 1.06661i
\(983\) −2.43156 12.2243i −0.0775546 0.389893i −0.999993 0.00374903i \(-0.998807\pi\)
0.922438 0.386144i \(-0.126193\pi\)
\(984\) −12.5206 19.6449i −0.399143 0.626258i
\(985\) 7.69702 + 1.53103i 0.245248 + 0.0487828i
\(986\) −4.12470 70.7384i −0.131357 2.25277i
\(987\) 0.948002 9.62523i 0.0301752 0.306374i
\(988\) 38.5382 48.7527i 1.22606 1.55103i
\(989\) −3.50366 + 11.5500i −0.111410 + 0.367269i
\(990\) −7.12575 19.3546i −0.226471 0.615130i
\(991\) −19.5766 + 19.5766i −0.621871 + 0.621871i −0.946010 0.324138i \(-0.894926\pi\)
0.324138 + 0.946010i \(0.394926\pi\)
\(992\) −24.4425 + 16.2152i −0.776049 + 0.514834i
\(993\) 1.56232 + 1.56232i 0.0495788 + 0.0495788i
\(994\) 6.58000 14.2483i 0.208705 0.451930i
\(995\) 33.3508 + 10.1168i 1.05729 + 0.320726i
\(996\) 8.29134 4.62897i 0.262721 0.146675i
\(997\) −46.6289 4.59254i −1.47675 0.145447i −0.672659 0.739953i \(-0.734848\pi\)
−0.804092 + 0.594505i \(0.797348\pi\)
\(998\) −4.08789 3.63743i −0.129400 0.115141i
\(999\) −0.657927 + 3.30762i −0.0208159 + 0.104649i
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 \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 384.2.v.a.37.16 512
128.45 even 32 inner 384.2.v.a.301.16 yes 512
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
384.2.v.a.37.16 512 1.1 even 1 trivial
384.2.v.a.301.16 yes 512 128.45 even 32 inner