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)
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 \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −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 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(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 |