Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(25,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 44, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.y (of order \(33\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 25.8 | ||
Character | \(\chi\) | \(=\) | 966.25 |
Dual form | 966.2.y.a.541.8 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0475819 | + | 0.998867i | −0.0336455 | + | 0.706306i | ||||
\(3\) | −0.928368 | − | 0.371662i | −0.535993 | − | 0.214579i | ||||
\(4\) | −0.995472 | − | 0.0950560i | −0.497736 | − | 0.0475280i | ||||
\(5\) | 0.779910 | + | 3.21483i | 0.348786 | + | 1.43772i | 0.828351 | + | 0.560210i | \(0.189280\pi\) |
−0.479564 | + | 0.877507i | \(0.659205\pi\) | |||||||
\(6\) | 0.415415 | − | 0.909632i | 0.169592 | − | 0.371356i | ||||
\(7\) | 0.591550 | + | 2.57877i | 0.223585 | + | 0.974684i | ||||
\(8\) | 0.142315 | − | 0.989821i | 0.0503159 | − | 0.349955i | ||||
\(9\) | 0.723734 | + | 0.690079i | 0.241245 | + | 0.230026i | ||||
\(10\) | −3.24830 | + | 0.626059i | −1.02720 | + | 0.197977i | ||||
\(11\) | 0.0898818 | + | 1.88685i | 0.0271004 | + | 0.568907i | 0.971058 | + | 0.238842i | \(0.0767677\pi\) |
−0.943958 | + | 0.330065i | \(0.892929\pi\) | |||||||
\(12\) | 0.888835 | + | 0.458227i | 0.256585 | + | 0.132279i | ||||
\(13\) | 1.55962 | + | 1.79990i | 0.432562 | + | 0.499203i | 0.929623 | − | 0.368513i | \(-0.120133\pi\) |
−0.497061 | + | 0.867716i | \(0.665587\pi\) | |||||||
\(14\) | −2.60400 | + | 0.468177i | −0.695948 | + | 0.125126i | ||||
\(15\) | 0.470789 | − | 3.27441i | 0.121557 | − | 0.845449i | ||||
\(16\) | 0.981929 | + | 0.189251i | 0.245482 | + | 0.0473128i | ||||
\(17\) | −1.10524 | − | 1.55209i | −0.268060 | − | 0.376438i | 0.658502 | − | 0.752579i | \(-0.271190\pi\) |
−0.926563 | + | 0.376141i | \(0.877251\pi\) | |||||||
\(18\) | −0.723734 | + | 0.690079i | −0.170586 | + | 0.162653i | ||||
\(19\) | −1.89014 | + | 2.65433i | −0.433628 | + | 0.608945i | −0.972347 | − | 0.233540i | \(-0.924969\pi\) |
0.538720 | + | 0.842485i | \(0.318908\pi\) | |||||||
\(20\) | −0.470789 | − | 3.27441i | −0.105272 | − | 0.732180i | ||||
\(21\) | 0.409257 | − | 2.61391i | 0.0893072 | − | 0.570401i | ||||
\(22\) | −1.88899 | −0.402734 | ||||||||
\(23\) | 4.77709 | − | 0.423611i | 0.996091 | − | 0.0883290i | ||||
\(24\) | −0.500000 | + | 0.866025i | −0.102062 | + | 0.176777i | ||||
\(25\) | −5.28271 | + | 2.72343i | −1.05654 | + | 0.544685i | ||||
\(26\) | −1.87207 | + | 1.47221i | −0.367144 | + | 0.288725i | ||||
\(27\) | −0.415415 | − | 0.909632i | −0.0799467 | − | 0.175059i | ||||
\(28\) | −0.343743 | − | 2.62333i | −0.0649614 | − | 0.495762i | ||||
\(29\) | 1.99617 | − | 4.37101i | 0.370680 | − | 0.811676i | −0.628740 | − | 0.777616i | \(-0.716429\pi\) |
0.999420 | − | 0.0340605i | \(-0.0108439\pi\) | |||||||
\(30\) | 3.24830 | + | 0.626059i | 0.593056 | + | 0.114302i | ||||
\(31\) | 2.78482 | + | 2.19001i | 0.500169 | + | 0.393337i | 0.836124 | − | 0.548541i | \(-0.184817\pi\) |
−0.335955 | + | 0.941878i | \(0.609059\pi\) | |||||||
\(32\) | −0.235759 | + | 0.971812i | −0.0416767 | + | 0.171794i | ||||
\(33\) | 0.617828 | − | 1.78510i | 0.107550 | − | 0.310746i | ||||
\(34\) | 1.60293 | − | 1.03014i | 0.274899 | − | 0.176667i | ||||
\(35\) | −7.82897 | + | 3.91294i | −1.32334 | + | 0.661408i | ||||
\(36\) | −0.654861 | − | 0.755750i | −0.109143 | − | 0.125958i | ||||
\(37\) | −3.64125 | − | 3.47193i | −0.598619 | − | 0.570782i | 0.328991 | − | 0.944333i | \(-0.393291\pi\) |
−0.927609 | + | 0.373551i | \(0.878140\pi\) | |||||||
\(38\) | −2.56139 | − | 2.01430i | −0.415512 | − | 0.326762i | ||||
\(39\) | −0.778949 | − | 2.25063i | −0.124732 | − | 0.360388i | ||||
\(40\) | 3.29310 | − | 0.314453i | 0.520685 | − | 0.0497194i | ||||
\(41\) | −5.64532 | − | 1.65762i | −0.881651 | − | 0.258876i | −0.190587 | − | 0.981670i | \(-0.561039\pi\) |
−0.691063 | + | 0.722794i | \(0.742857\pi\) | |||||||
\(42\) | 2.59147 | + | 0.533168i | 0.399873 | + | 0.0822696i | ||||
\(43\) | 1.32455 | + | 9.21245i | 0.201992 | + | 1.40488i | 0.798363 | + | 0.602176i | \(0.205700\pi\) |
−0.596371 | + | 0.802709i | \(0.703391\pi\) | |||||||
\(44\) | 0.0898818 | − | 1.88685i | 0.0135502 | − | 0.284454i | ||||
\(45\) | −1.65404 | + | 2.86488i | −0.246570 | + | 0.427072i | ||||
\(46\) | 0.195828 | + | 4.79183i | 0.0288733 | + | 0.706517i | ||||
\(47\) | 0.703579 | + | 1.21863i | 0.102628 | + | 0.177756i | 0.912766 | − | 0.408482i | \(-0.133942\pi\) |
−0.810139 | + | 0.586238i | \(0.800608\pi\) | |||||||
\(48\) | −0.841254 | − | 0.540641i | −0.121424 | − | 0.0780348i | ||||
\(49\) | −6.30014 | + | 3.05095i | −0.900020 | + | 0.435849i | ||||
\(50\) | −2.46898 | − | 5.40631i | −0.349166 | − | 0.764568i | ||||
\(51\) | 0.449215 | + | 1.85169i | 0.0629027 | + | 0.259289i | ||||
\(52\) | −1.38147 | − | 1.94000i | −0.191575 | − | 0.269030i | ||||
\(53\) | −3.93523 | − | 11.3701i | −0.540546 | − | 1.56181i | −0.802455 | − | 0.596713i | \(-0.796473\pi\) |
0.261909 | − | 0.965093i | \(-0.415648\pi\) | |||||||
\(54\) | 0.928368 | − | 0.371662i | 0.126335 | − | 0.0505769i | ||||
\(55\) | −5.99581 | + | 1.76053i | −0.808475 | + | 0.237390i | ||||
\(56\) | 2.63671 | − | 0.218531i | 0.352345 | − | 0.0292025i | ||||
\(57\) | 2.74126 | − | 1.76170i | 0.363089 | − | 0.233343i | ||||
\(58\) | 4.27108 | + | 2.20189i | 0.560820 | + | 0.289123i | ||||
\(59\) | 4.03202 | − | 0.777108i | 0.524924 | − | 0.101171i | 0.0800965 | − | 0.996787i | \(-0.474477\pi\) |
0.444827 | + | 0.895616i | \(0.353265\pi\) | |||||||
\(60\) | −0.779910 | + | 3.21483i | −0.100686 | + | 0.415033i | ||||
\(61\) | −8.85975 | + | 3.54691i | −1.13437 | + | 0.454135i | −0.861421 | − | 0.507892i | \(-0.830425\pi\) |
−0.272954 | + | 0.962027i | \(0.588001\pi\) | |||||||
\(62\) | −2.32003 | + | 2.67746i | −0.294645 | + | 0.340038i | ||||
\(63\) | −1.35143 | + | 2.27456i | −0.170264 | + | 0.286568i | ||||
\(64\) | −0.959493 | − | 0.281733i | −0.119937 | − | 0.0352166i | ||||
\(65\) | −4.57002 | + | 6.41769i | −0.566841 | + | 0.796017i | ||||
\(66\) | 1.75368 | + | 0.702067i | 0.215863 | + | 0.0864185i | ||||
\(67\) | −4.62095 | + | 2.38226i | −0.564538 | + | 0.291040i | −0.716775 | − | 0.697304i | \(-0.754383\pi\) |
0.152237 | + | 0.988344i | \(0.451352\pi\) | |||||||
\(68\) | 0.952701 | + | 1.65013i | 0.115532 | + | 0.200107i | ||||
\(69\) | −4.59233 | − | 1.38220i | −0.552852 | − | 0.166397i | ||||
\(70\) | −3.53599 | − | 8.00628i | −0.422632 | − | 0.956934i | ||||
\(71\) | −1.54105 | − | 0.990372i | −0.182889 | − | 0.117536i | 0.445993 | − | 0.895037i | \(-0.352851\pi\) |
−0.628882 | + | 0.777501i | \(0.716487\pi\) | |||||||
\(72\) | 0.786053 | − | 0.618159i | 0.0926372 | − | 0.0728507i | ||||
\(73\) | 2.64850 | + | 0.252901i | 0.309984 | + | 0.0295999i | 0.248889 | − | 0.968532i | \(-0.419935\pi\) |
0.0610951 | + | 0.998132i | \(0.480541\pi\) | |||||||
\(74\) | 3.64125 | − | 3.47193i | 0.423287 | − | 0.403604i | ||||
\(75\) | 5.91649 | − | 0.564957i | 0.683178 | − | 0.0652356i | ||||
\(76\) | 2.13389 | − | 2.46264i | 0.244774 | − | 0.282484i | ||||
\(77\) | −4.81259 | + | 1.34795i | −0.548446 | + | 0.153613i | ||||
\(78\) | 2.28514 | − | 0.670978i | 0.258741 | − | 0.0759733i | ||||
\(79\) | 0.901623 | − | 2.60507i | 0.101440 | − | 0.293093i | −0.882849 | − | 0.469658i | \(-0.844377\pi\) |
0.984289 | + | 0.176565i | \(0.0564985\pi\) | |||||||
\(80\) | 0.157405 | + | 3.30433i | 0.0175984 | + | 0.369436i | ||||
\(81\) | 0.0475819 | + | 0.998867i | 0.00528688 | + | 0.110985i | ||||
\(82\) | 1.92435 | − | 5.56005i | 0.212509 | − | 0.614005i | ||||
\(83\) | −2.87077 | + | 0.842933i | −0.315108 | + | 0.0925239i | −0.435462 | − | 0.900207i | \(-0.643415\pi\) |
0.120355 | + | 0.992731i | \(0.461597\pi\) | |||||||
\(84\) | −0.655872 | + | 2.56317i | −0.0715614 | + | 0.279665i | ||||
\(85\) | 4.12773 | − | 4.76366i | 0.447716 | − | 0.516691i | ||||
\(86\) | −9.26504 | + | 0.884704i | −0.999075 | + | 0.0954001i | ||||
\(87\) | −3.47772 | + | 3.31600i | −0.372851 | + | 0.355513i | ||||
\(88\) | 1.88044 | + | 0.179560i | 0.200455 | + | 0.0191412i | ||||
\(89\) | −1.64271 | + | 1.29184i | −0.174127 | + | 0.136935i | −0.701419 | − | 0.712749i | \(-0.747450\pi\) |
0.527292 | + | 0.849684i | \(0.323207\pi\) | |||||||
\(90\) | −2.78294 | − | 1.78848i | −0.293347 | − | 0.188523i | ||||
\(91\) | −3.71894 | + | 5.08665i | −0.389851 | + | 0.533226i | ||||
\(92\) | −4.79572 | − | 0.0323979i | −0.499989 | − | 0.00337772i | ||||
\(93\) | −1.77139 | − | 3.06815i | −0.183685 | − | 0.318152i | ||||
\(94\) | −1.25073 | + | 0.644797i | −0.129003 | + | 0.0665058i | ||||
\(95\) | −10.0074 | − | 4.00634i | −1.02673 | − | 0.411042i | ||||
\(96\) | 0.580057 | − | 0.814576i | 0.0592018 | − | 0.0831373i | ||||
\(97\) | −4.24876 | − | 1.24755i | −0.431396 | − | 0.126669i | 0.0588234 | − | 0.998268i | \(-0.481265\pi\) |
−0.490219 | + | 0.871599i | \(0.663083\pi\) | |||||||
\(98\) | −2.74772 | − | 6.43817i | −0.277561 | − | 0.650354i | ||||
\(99\) | −1.23703 | + | 1.42760i | −0.124326 | + | 0.143480i | ||||
\(100\) | 5.51767 | − | 2.20894i | 0.551767 | − | 0.220894i | ||||
\(101\) | 0.959003 | − | 3.95306i | 0.0954244 | − | 0.393345i | −0.903990 | − | 0.427553i | \(-0.859376\pi\) |
0.999415 | + | 0.0342083i | \(0.0108910\pi\) | |||||||
\(102\) | −1.87097 | + | 0.360600i | −0.185253 | + | 0.0357047i | ||||
\(103\) | 12.1204 | + | 6.24851i | 1.19426 | + | 0.615684i | 0.936549 | − | 0.350537i | \(-0.114001\pi\) |
0.257712 | + | 0.966222i | \(0.417031\pi\) | |||||||
\(104\) | 2.00354 | − | 1.28760i | 0.196463 | − | 0.126259i | ||||
\(105\) | 8.72245 | − | 0.722919i | 0.851224 | − | 0.0705497i | ||||
\(106\) | 11.5445 | − | 3.38977i | 1.12130 | − | 0.329243i | ||||
\(107\) | −17.6258 | + | 7.05631i | −1.70395 | + | 0.682160i | −0.999616 | − | 0.0277069i | \(-0.991179\pi\) |
−0.704336 | + | 0.709866i | \(0.748755\pi\) | |||||||
\(108\) | 0.327068 | + | 0.945001i | 0.0314721 | + | 0.0909327i | ||||
\(109\) | 4.25412 | + | 5.97408i | 0.407471 | + | 0.572213i | 0.966413 | − | 0.256994i | \(-0.0827320\pi\) |
−0.558942 | + | 0.829207i | \(0.688793\pi\) | |||||||
\(110\) | −1.47324 | − | 6.07279i | −0.140468 | − | 0.579018i | ||||
\(111\) | 2.09004 | + | 4.57655i | 0.198378 | + | 0.434386i | ||||
\(112\) | 0.0928239 | + | 2.64412i | 0.00877103 | + | 0.249846i | ||||
\(113\) | 7.13986 | + | 4.58851i | 0.671661 | + | 0.431651i | 0.831524 | − | 0.555489i | \(-0.187469\pi\) |
−0.159863 | + | 0.987139i | \(0.551105\pi\) | |||||||
\(114\) | 1.62927 | + | 2.82198i | 0.152595 | + | 0.264302i | ||||
\(115\) | 5.08754 | + | 15.0272i | 0.474415 | + | 1.40129i | ||||
\(116\) | −2.40263 | + | 4.16147i | −0.223078 | + | 0.386383i | ||||
\(117\) | −0.113322 | + | 2.37891i | −0.0104766 | + | 0.219931i | ||||
\(118\) | 0.584376 | + | 4.06443i | 0.0537962 | + | 0.374161i | ||||
\(119\) | 3.34869 | − | 3.76831i | 0.306974 | − | 0.345440i | ||||
\(120\) | −3.17408 | − | 0.931994i | −0.289753 | − | 0.0850791i | ||||
\(121\) | 7.39806 | − | 0.706429i | 0.672551 | − | 0.0642208i | ||||
\(122\) | −3.12133 | − | 9.01848i | −0.282592 | − | 0.816495i | ||||
\(123\) | 4.62486 | + | 3.63703i | 0.417010 | + | 0.327940i | ||||
\(124\) | −2.56404 | − | 2.44480i | −0.230257 | − | 0.219550i | ||||
\(125\) | −2.04373 | − | 2.35859i | −0.182797 | − | 0.210959i | ||||
\(126\) | −2.20768 | − | 1.45813i | −0.196676 | − | 0.129900i | ||||
\(127\) | 6.05448 | − | 3.89098i | 0.537248 | − | 0.345269i | −0.243713 | − | 0.969847i | \(-0.578366\pi\) |
0.780962 | + | 0.624579i | \(0.214729\pi\) | |||||||
\(128\) | 0.327068 | − | 0.945001i | 0.0289090 | − | 0.0835271i | ||||
\(129\) | 2.19425 | − | 9.04483i | 0.193193 | − | 0.796352i | ||||
\(130\) | −6.19297 | − | 4.87021i | −0.543160 | − | 0.427145i | ||||
\(131\) | 5.89668 | + | 1.13649i | 0.515195 | + | 0.0992957i | 0.440221 | − | 0.897890i | \(-0.354900\pi\) |
0.0749747 | + | 0.997185i | \(0.476112\pi\) | |||||||
\(132\) | −0.784715 | + | 1.71829i | −0.0683007 | + | 0.149558i | ||||
\(133\) | −7.96302 | − | 3.30407i | −0.690481 | − | 0.286499i | ||||
\(134\) | −2.15969 | − | 4.72906i | −0.186569 | − | 0.408529i | ||||
\(135\) | 2.60033 | − | 2.04492i | 0.223801 | − | 0.175999i | ||||
\(136\) | −1.69359 | + | 0.873105i | −0.145224 | + | 0.0748682i | ||||
\(137\) | 8.81083 | − | 15.2608i | 0.752760 | − | 1.30382i | −0.193720 | − | 0.981057i | \(-0.562055\pi\) |
0.946480 | − | 0.322762i | \(-0.104611\pi\) | |||||||
\(138\) | 1.59914 | − | 4.52136i | 0.136128 | − | 0.384884i | ||||
\(139\) | 21.0157 | 1.78253 | 0.891265 | − | 0.453482i | \(-0.149818\pi\) | ||||
0.891265 | + | 0.453482i | \(0.149818\pi\) | |||||||
\(140\) | 8.16546 | − | 3.15104i | 0.690108 | − | 0.266311i | ||||
\(141\) | −0.200260 | − | 1.39284i | −0.0168649 | − | 0.117298i | ||||
\(142\) | 1.06258 | − | 1.49218i | 0.0891695 | − | 0.125221i | ||||
\(143\) | −3.25597 | + | 3.10456i | −0.272278 | + | 0.259616i | ||||
\(144\) | 0.580057 | + | 0.814576i | 0.0483381 | + | 0.0678813i | ||||
\(145\) | 15.6089 | + | 3.00837i | 1.29625 | + | 0.249831i | ||||
\(146\) | −0.378636 | + | 2.63347i | −0.0313361 | + | 0.217948i | ||||
\(147\) | 6.98277 | − | 0.490876i | 0.575929 | − | 0.0404867i | ||||
\(148\) | 3.29474 | + | 3.80233i | 0.270826 | + | 0.312550i | ||||
\(149\) | −7.28180 | − | 3.75403i | −0.596548 | − | 0.307542i | 0.133381 | − | 0.991065i | \(-0.457417\pi\) |
−0.729929 | + | 0.683523i | \(0.760447\pi\) | |||||||
\(150\) | 0.282799 | + | 5.93667i | 0.0230904 | + | 0.484727i | ||||
\(151\) | 13.2376 | − | 2.55135i | 1.07726 | − | 0.207626i | 0.380395 | − | 0.924824i | \(-0.375788\pi\) |
0.696869 | + | 0.717199i | \(0.254576\pi\) | |||||||
\(152\) | 2.35832 | + | 2.24865i | 0.191285 | + | 0.182390i | ||||
\(153\) | 0.271167 | − | 1.88601i | 0.0219225 | − | 0.152475i | ||||
\(154\) | −1.11743 | − | 4.87128i | −0.0900453 | − | 0.392539i | ||||
\(155\) | −4.86860 | + | 10.6607i | −0.391055 | + | 0.856291i | ||||
\(156\) | 0.561486 | + | 2.31448i | 0.0449549 | + | 0.185307i | ||||
\(157\) | −16.4507 | − | 1.57085i | −1.31291 | − | 0.125368i | −0.584996 | − | 0.811036i | \(-0.698904\pi\) |
−0.727914 | + | 0.685668i | \(0.759510\pi\) | |||||||
\(158\) | 2.55922 | + | 1.02456i | 0.203600 | + | 0.0815093i | ||||
\(159\) | −0.572499 | + | 12.0182i | −0.0454021 | + | 0.953107i | ||||
\(160\) | −3.30808 | −0.261527 | ||||||||
\(161\) | 3.91828 | + | 12.0684i | 0.308804 | + | 0.951126i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | 1.02437 | − | 21.5042i | 0.0802348 | − | 1.68434i | −0.496994 | − | 0.867754i | \(-0.665563\pi\) |
0.577229 | − | 0.816583i | \(-0.304134\pi\) | |||||||
\(164\) | 5.46219 | + | 2.18673i | 0.426525 | + | 0.170755i | ||||
\(165\) | 6.22064 | + | 0.593999i | 0.484276 | + | 0.0462428i | ||||
\(166\) | −0.705382 | − | 2.90762i | −0.0547482 | − | 0.225675i | ||||
\(167\) | 4.70983 | − | 10.3131i | 0.364457 | − | 0.798050i | −0.635212 | − | 0.772338i | \(-0.719087\pi\) |
0.999669 | − | 0.0257126i | \(-0.00818548\pi\) | |||||||
\(168\) | −2.52906 | − | 0.777089i | −0.195121 | − | 0.0599537i | ||||
\(169\) | 1.04287 | − | 7.25334i | 0.0802209 | − | 0.557949i | ||||
\(170\) | 4.56186 | + | 4.34972i | 0.349878 | + | 0.333608i | ||||
\(171\) | −3.19965 | + | 0.616683i | −0.244684 | + | 0.0471589i | ||||
\(172\) | −0.442853 | − | 9.29664i | −0.0337673 | − | 0.708862i | ||||
\(173\) | 13.2725 | + | 6.84244i | 1.00909 | + | 0.520221i | 0.881789 | − | 0.471643i | \(-0.156339\pi\) |
0.127299 | + | 0.991864i | \(0.459369\pi\) | |||||||
\(174\) | −3.14677 | − | 3.63157i | −0.238556 | − | 0.275308i | ||||
\(175\) | −10.1481 | − | 12.0119i | −0.767123 | − | 0.908011i | ||||
\(176\) | −0.268831 | + | 1.86976i | −0.0202639 | + | 0.140939i | ||||
\(177\) | −4.03202 | − | 0.777108i | −0.303065 | − | 0.0584110i | ||||
\(178\) | −1.21222 | − | 1.70232i | −0.0908594 | − | 0.127594i | ||||
\(179\) | 1.93780 | − | 1.84769i | 0.144838 | − | 0.138103i | −0.614197 | − | 0.789153i | \(-0.710520\pi\) |
0.759035 | + | 0.651050i | \(0.225671\pi\) | |||||||
\(180\) | 1.91888 | − | 2.69468i | 0.143025 | − | 0.200850i | ||||
\(181\) | 2.19248 | + | 15.2490i | 0.162966 | + | 1.13345i | 0.893005 | + | 0.450046i | \(0.148592\pi\) |
−0.730040 | + | 0.683405i | \(0.760498\pi\) | |||||||
\(182\) | −4.90393 | − | 3.95676i | −0.363504 | − | 0.293295i | ||||
\(183\) | 9.54336 | 0.705465 | ||||||||
\(184\) | 0.260551 | − | 4.78875i | 0.0192081 | − | 0.353031i | ||||
\(185\) | 8.32182 | − | 14.4138i | 0.611832 | − | 1.05972i | ||||
\(186\) | 3.14896 | − | 1.62340i | 0.230893 | − | 0.119033i | ||||
\(187\) | 2.82923 | − | 2.22493i | 0.206894 | − | 0.162703i | ||||
\(188\) | −0.584555 | − | 1.28000i | −0.0426330 | − | 0.0933533i | ||||
\(189\) | 2.10000 | − | 1.60935i | 0.152752 | − | 0.117063i | ||||
\(190\) | 4.47797 | − | 9.80539i | 0.324866 | − | 0.711358i | ||||
\(191\) | −12.6930 | − | 2.44638i | −0.918437 | − | 0.177014i | −0.291939 | − | 0.956437i | \(-0.594300\pi\) |
−0.626498 | + | 0.779423i | \(0.715512\pi\) | |||||||
\(192\) | 0.786053 | + | 0.618159i | 0.0567285 | + | 0.0446118i | ||||
\(193\) | 0.566603 | − | 2.33557i | 0.0407850 | − | 0.168118i | −0.947777 | − | 0.318934i | \(-0.896675\pi\) |
0.988562 | + | 0.150816i | \(0.0481902\pi\) | |||||||
\(194\) | 1.44830 | − | 4.18458i | 0.103982 | − | 0.300436i | ||||
\(195\) | 6.62787 | − | 4.25948i | 0.474632 | − | 0.305027i | ||||
\(196\) | 6.56162 | − | 2.43826i | 0.468687 | − | 0.174162i | ||||
\(197\) | 3.56224 | + | 4.11105i | 0.253799 | + | 0.292900i | 0.868324 | − | 0.495998i | \(-0.165198\pi\) |
−0.614525 | + | 0.788898i | \(0.710652\pi\) | |||||||
\(198\) | −1.36713 | − | 1.30355i | −0.0971575 | − | 0.0926395i | ||||
\(199\) | 17.4607 | + | 13.7313i | 1.23776 | + | 0.973385i | 0.999998 | + | 0.00206127i | \(0.000656122\pi\) |
0.237762 | + | 0.971324i | \(0.423586\pi\) | |||||||
\(200\) | 1.94390 | + | 5.61652i | 0.137454 | + | 0.397148i | ||||
\(201\) | 5.17534 | − | 0.494185i | 0.365040 | − | 0.0348571i | ||||
\(202\) | 3.90295 | + | 1.14601i | 0.274611 | + | 0.0806331i | ||||
\(203\) | 12.4527 | + | 2.56201i | 0.874007 | + | 0.179818i | ||||
\(204\) | −0.271167 | − | 1.88601i | −0.0189855 | − | 0.132047i | ||||
\(205\) | 0.926115 | − | 19.4415i | 0.0646827 | − | 1.35786i | ||||
\(206\) | −6.81815 | + | 11.8094i | −0.475043 | + | 0.822799i | ||||
\(207\) | 3.74967 | + | 2.98999i | 0.260620 | + | 0.207818i | ||||
\(208\) | 1.19081 | + | 2.06254i | 0.0825675 | + | 0.143011i | ||||
\(209\) | −5.17821 | − | 3.32783i | −0.358184 | − | 0.230191i | ||||
\(210\) | 0.307069 | + | 8.74697i | 0.0211898 | + | 0.603598i | ||||
\(211\) | 6.58159 | + | 14.4117i | 0.453095 | + | 0.992141i | 0.989007 | + | 0.147867i | \(0.0472406\pi\) |
−0.535912 | + | 0.844274i | \(0.680032\pi\) | |||||||
\(212\) | 2.83662 | + | 11.6927i | 0.194820 | + | 0.803058i | ||||
\(213\) | 1.06258 | + | 1.49218i | 0.0728066 | + | 0.102242i | ||||
\(214\) | −6.20965 | − | 17.9416i | −0.424483 | − | 1.22646i | ||||
\(215\) | −28.5834 | + | 11.4431i | −1.94937 | + | 0.780412i | ||||
\(216\) | −0.959493 | + | 0.281733i | −0.0652852 | + | 0.0191695i | ||||
\(217\) | −4.00017 | + | 8.47692i | −0.271549 | + | 0.575451i | ||||
\(218\) | −6.16973 | + | 3.96505i | −0.417867 | + | 0.268547i | ||||
\(219\) | −2.36479 | − | 1.21913i | −0.159798 | − | 0.0823815i | ||||
\(220\) | 6.13601 | − | 1.18262i | 0.413690 | − | 0.0797321i | ||||
\(221\) | 1.06986 | − | 4.41001i | 0.0719664 | − | 0.296649i | ||||
\(222\) | −4.67081 | + | 1.86991i | −0.313484 | + | 0.125500i | ||||
\(223\) | −12.6074 | + | 14.5497i | −0.844253 | + | 0.974320i | −0.999909 | − | 0.0134910i | \(-0.995706\pi\) |
0.155656 | + | 0.987811i | \(0.450251\pi\) | |||||||
\(224\) | −2.64554 | − | 0.0330936i | −0.176763 | − | 0.00221116i | ||||
\(225\) | −5.70265 | − | 1.67445i | −0.380177 | − | 0.111630i | ||||
\(226\) | −4.92304 | + | 6.91344i | −0.327476 | + | 0.459875i | ||||
\(227\) | 19.1741 | + | 7.67616i | 1.27263 | + | 0.509484i | 0.906943 | − | 0.421253i | \(-0.138410\pi\) |
0.365688 | + | 0.930738i | \(0.380834\pi\) | |||||||
\(228\) | −2.89631 | + | 1.49315i | −0.191813 | + | 0.0988862i | ||||
\(229\) | −4.47681 | − | 7.75405i | −0.295836 | − | 0.512402i | 0.679343 | − | 0.733821i | \(-0.262265\pi\) |
−0.975179 | + | 0.221418i | \(0.928931\pi\) | |||||||
\(230\) | −15.2522 | + | 4.36675i | −1.00570 | + | 0.287935i | ||||
\(231\) | 4.96884 | + | 0.537264i | 0.326926 | + | 0.0353494i | ||||
\(232\) | −4.04244 | − | 2.59792i | −0.265399 | − | 0.170562i | ||||
\(233\) | −1.60379 | + | 1.26124i | −0.105068 | + | 0.0826263i | −0.669311 | − | 0.742982i | \(-0.733411\pi\) |
0.564243 | + | 0.825609i | \(0.309168\pi\) | |||||||
\(234\) | −2.37083 | − | 0.226387i | −0.154986 | − | 0.0147994i | ||||
\(235\) | −3.36898 | + | 3.21231i | −0.219768 | + | 0.209548i | ||||
\(236\) | −4.08763 | + | 0.390321i | −0.266082 | + | 0.0254077i | ||||
\(237\) | −1.80524 | + | 2.08336i | −0.117263 | + | 0.135329i | ||||
\(238\) | 3.60470 | + | 3.52420i | 0.233658 | + | 0.228440i | ||||
\(239\) | 19.7320 | − | 5.79384i | 1.27636 | − | 0.374772i | 0.427798 | − | 0.903874i | \(-0.359289\pi\) |
0.848558 | + | 0.529102i | \(0.177471\pi\) | |||||||
\(240\) | 1.08197 | − | 3.12614i | 0.0698407 | − | 0.201791i | ||||
\(241\) | 1.12673 | + | 23.6529i | 0.0725787 | + | 1.52362i | 0.682343 | + | 0.731032i | \(0.260961\pi\) |
−0.609764 | + | 0.792583i | \(0.708736\pi\) | |||||||
\(242\) | 0.353615 | + | 7.42330i | 0.0227312 | + | 0.477188i | ||||
\(243\) | 0.327068 | − | 0.945001i | 0.0209814 | − | 0.0606218i | ||||
\(244\) | 9.15678 | − | 2.68867i | 0.586203 | − | 0.172125i | ||||
\(245\) | −14.7218 | − | 17.8744i | −0.940542 | − | 1.14195i | ||||
\(246\) | −3.85297 | + | 4.44656i | −0.245656 | + | 0.283503i | ||||
\(247\) | −7.72544 | + | 0.737690i | −0.491558 | + | 0.0469381i | ||||
\(248\) | 2.56404 | − | 2.44480i | 0.162817 | − | 0.155245i | ||||
\(249\) | 2.97841 | + | 0.284404i | 0.188749 | + | 0.0180234i | ||||
\(250\) | 2.45316 | − | 1.92919i | 0.155152 | − | 0.122013i | ||||
\(251\) | −10.8298 | − | 6.95990i | −0.683572 | − | 0.439305i | 0.152223 | − | 0.988346i | \(-0.451357\pi\) |
−0.835795 | + | 0.549041i | \(0.814993\pi\) | |||||||
\(252\) | 1.56152 | − | 2.13580i | 0.0983667 | − | 0.134543i | ||||
\(253\) | 1.22866 | + | 8.97558i | 0.0772455 | + | 0.564290i | ||||
\(254\) | 3.59849 | + | 6.23277i | 0.225789 | + | 0.391078i | ||||
\(255\) | −5.60253 | + | 2.88830i | −0.350844 | + | 0.180873i | ||||
\(256\) | 0.928368 | + | 0.371662i | 0.0580230 | + | 0.0232289i | ||||
\(257\) | 5.31046 | − | 7.45749i | 0.331257 | − | 0.465186i | −0.615034 | − | 0.788500i | \(-0.710858\pi\) |
0.946291 | + | 0.323315i | \(0.104797\pi\) | |||||||
\(258\) | 8.93017 | + | 2.62214i | 0.555968 | + | 0.163247i | ||||
\(259\) | 6.79933 | − | 11.4438i | 0.422490 | − | 0.711082i | ||||
\(260\) | 5.15936 | − | 5.95422i | 0.319970 | − | 0.369265i | ||||
\(261\) | 4.46104 | − | 1.78593i | 0.276132 | − | 0.110546i | ||||
\(262\) | −1.41578 | + | 5.83592i | −0.0874672 | + | 0.360545i | ||||
\(263\) | −27.1131 | + | 5.22562i | −1.67187 | + | 0.322226i | −0.935224 | − | 0.354058i | \(-0.884802\pi\) |
−0.736642 | + | 0.676283i | \(0.763590\pi\) | |||||||
\(264\) | −1.67900 | − | 0.865586i | −0.103335 | − | 0.0532731i | ||||
\(265\) | 33.4839 | − | 21.5188i | 2.05690 | − | 1.32189i | ||||
\(266\) | 3.67922 | − | 7.79679i | 0.225588 | − | 0.478052i | ||||
\(267\) | 2.00517 | − | 0.588771i | 0.122714 | − | 0.0360322i | ||||
\(268\) | 4.82647 | − | 1.93223i | 0.294824 | − | 0.118030i | ||||
\(269\) | 9.54267 | + | 27.5717i | 0.581827 | + | 1.68108i | 0.722793 | + | 0.691064i | \(0.242858\pi\) |
−0.140966 | + | 0.990014i | \(0.545021\pi\) | |||||||
\(270\) | 1.91888 | + | 2.69468i | 0.116779 | + | 0.163993i | ||||
\(271\) | 5.06418 | + | 20.8748i | 0.307627 | + | 1.26806i | 0.890310 | + | 0.455356i | \(0.150488\pi\) |
−0.582683 | + | 0.812700i | \(0.697997\pi\) | |||||||
\(272\) | −0.791532 | − | 1.73321i | −0.0479937 | − | 0.105092i | ||||
\(273\) | 5.34306 | − | 3.34009i | 0.323377 | − | 0.202151i | ||||
\(274\) | 14.8243 | + | 9.52699i | 0.895568 | + | 0.575547i | ||||
\(275\) | −5.61352 | − | 9.72290i | −0.338508 | − | 0.586313i | ||||
\(276\) | 4.44015 | + | 1.81247i | 0.267266 | + | 0.109098i | ||||
\(277\) | −6.90514 | + | 11.9601i | −0.414890 | + | 0.718610i | −0.995417 | − | 0.0956306i | \(-0.969513\pi\) |
0.580527 | + | 0.814241i | \(0.302847\pi\) | |||||||
\(278\) | −0.999969 | + | 20.9919i | −0.0599741 | + | 1.25901i | ||||
\(279\) | 0.504192 | + | 3.50673i | 0.0301852 | + | 0.209942i | ||||
\(280\) | 2.75894 | + | 8.30615i | 0.164878 | + | 0.496387i | ||||
\(281\) | 12.7314 | + | 3.73828i | 0.759493 | + | 0.223007i | 0.638474 | − | 0.769643i | \(-0.279566\pi\) |
0.121018 | + | 0.992650i | \(0.461384\pi\) | |||||||
\(282\) | 1.40079 | − | 0.133759i | 0.0834156 | − | 0.00796523i | ||||
\(283\) | 0.488701 | + | 1.41201i | 0.0290503 | + | 0.0839353i | 0.958594 | − | 0.284778i | \(-0.0919198\pi\) |
−0.929543 | + | 0.368713i | \(0.879799\pi\) | |||||||
\(284\) | 1.43993 | + | 1.13237i | 0.0854442 | + | 0.0671940i | ||||
\(285\) | 7.80150 | + | 7.43872i | 0.462121 | + | 0.440632i | ||||
\(286\) | −2.94612 | − | 3.40000i | −0.174207 | − | 0.201046i | ||||
\(287\) | 0.935125 | − | 15.5386i | 0.0551987 | − | 0.917212i | ||||
\(288\) | −0.841254 | + | 0.540641i | −0.0495713 | + | 0.0318576i | ||||
\(289\) | 4.37272 | − | 12.6341i | 0.257219 | − | 0.743185i | ||||
\(290\) | −3.74766 | + | 15.4481i | −0.220070 | + | 0.907142i | ||||
\(291\) | 3.48074 | + | 2.73729i | 0.204045 | + | 0.160463i | ||||
\(292\) | −2.61247 | − | 0.503513i | −0.152883 | − | 0.0294658i | ||||
\(293\) | −0.645235 | + | 1.41287i | −0.0376950 | + | 0.0825406i | −0.927543 | − | 0.373717i | \(-0.878083\pi\) |
0.889848 | + | 0.456258i | \(0.150810\pi\) | |||||||
\(294\) | 0.158066 | + | 6.99822i | 0.00921860 | + | 0.408144i | ||||
\(295\) | 5.64288 | + | 12.3562i | 0.328541 | + | 0.719405i | ||||
\(296\) | −3.95479 | + | 3.11008i | −0.229868 | + | 0.180770i | ||||
\(297\) | 1.67900 | − | 0.865586i | 0.0974256 | − | 0.0502264i | ||||
\(298\) | 4.09626 | − | 7.09493i | 0.237290 | − | 0.410998i | ||||
\(299\) | 8.21292 | + | 7.93761i | 0.474965 | + | 0.459044i | ||||
\(300\) | −5.94340 | −0.343143 | ||||||||
\(301\) | −22.9733 | + | 8.86534i | −1.32416 | + | 0.510989i | ||||
\(302\) | 1.91858 | + | 13.3440i | 0.110402 | + | 0.767863i | ||||
\(303\) | −2.35951 | + | 3.31347i | −0.135550 | + | 0.190354i | ||||
\(304\) | −2.35832 | + | 2.24865i | −0.135259 | + | 0.128969i | ||||
\(305\) | −18.3125 | − | 25.7163i | −1.04857 | − | 1.47251i | ||||
\(306\) | 1.87097 | + | 0.360600i | 0.106956 | + | 0.0206141i | ||||
\(307\) | −2.37592 | + | 16.5249i | −0.135601 | + | 0.943125i | 0.802473 | + | 0.596689i | \(0.203517\pi\) |
−0.938074 | + | 0.346436i | \(0.887392\pi\) | |||||||
\(308\) | 4.91893 | − | 0.884382i | 0.280282 | − | 0.0503923i | ||||
\(309\) | −8.92988 | − | 10.3056i | −0.508003 | − | 0.586267i | ||||
\(310\) | −10.4170 | − | 5.37034i | −0.591646 | − | 0.305015i | ||||
\(311\) | 0.639644 | + | 13.4278i | 0.0362709 | + | 0.761420i | 0.941605 | + | 0.336720i | \(0.109318\pi\) |
−0.905334 | + | 0.424700i | \(0.860379\pi\) | |||||||
\(312\) | −2.33857 | + | 0.450723i | −0.132396 | + | 0.0255172i | ||||
\(313\) | −13.2645 | − | 12.6477i | −0.749753 | − | 0.714888i | 0.215414 | − | 0.976523i | \(-0.430890\pi\) |
−0.965167 | + | 0.261635i | \(0.915738\pi\) | |||||||
\(314\) | 2.35183 | − | 16.3573i | 0.132721 | − | 0.923098i | ||||
\(315\) | −8.36633 | − | 2.57067i | −0.471389 | − | 0.144841i | ||||
\(316\) | −1.14517 | + | 2.50757i | −0.0644207 | + | 0.141062i | ||||
\(317\) | −1.65847 | − | 6.83629i | −0.0931488 | − | 0.383964i | 0.906085 | − | 0.423095i | \(-0.139056\pi\) |
−0.999234 | + | 0.0391305i | \(0.987541\pi\) | |||||||
\(318\) | −11.9774 | − | 1.14370i | −0.671658 | − | 0.0641355i | ||||
\(319\) | 8.42687 | + | 3.37361i | 0.471814 | + | 0.188886i | ||||
\(320\) | 0.157405 | − | 3.30433i | 0.00879920 | − | 0.184718i | ||||
\(321\) | 18.9858 | 1.05968 | ||||||||
\(322\) | −12.2412 | + | 3.33960i | −0.682176 | + | 0.186109i | ||||
\(323\) | 6.20883 | 0.345468 | ||||||||
\(324\) | 0.0475819 | − | 0.998867i | 0.00264344 | − | 0.0554926i | ||||
\(325\) | −13.1409 | − | 5.26084i | −0.728928 | − | 0.291819i | ||||
\(326\) | 21.4311 | + | 2.04642i | 1.18696 | + | 0.113341i | ||||
\(327\) | −1.72905 | − | 7.12724i | −0.0956167 | − | 0.394137i | ||||
\(328\) | −2.44416 | + | 5.35196i | −0.134956 | + | 0.295512i | ||||
\(329\) | −2.72638 | + | 2.53525i | −0.150310 | + | 0.139773i | ||||
\(330\) | −0.889316 | + | 6.18533i | −0.0489552 | + | 0.340491i | ||||
\(331\) | 3.80611 | + | 3.62912i | 0.209203 | + | 0.199474i | 0.787435 | − | 0.616398i | \(-0.211409\pi\) |
−0.578232 | + | 0.815872i | \(0.696257\pi\) | |||||||
\(332\) | 2.93789 | − | 0.566233i | 0.161238 | − | 0.0310761i | ||||
\(333\) | −0.239394 | − | 5.02551i | −0.0131187 | − | 0.275396i | ||||
\(334\) | 10.0773 | + | 5.19521i | 0.551405 | + | 0.284269i | ||||
\(335\) | −11.2625 | − | 12.9976i | −0.615336 | − | 0.710136i | ||||
\(336\) | 0.896546 | − | 2.48922i | 0.0489106 | − | 0.135798i | ||||
\(337\) | 2.59219 | − | 18.0291i | 0.141206 | − | 0.982108i | −0.788823 | − | 0.614621i | \(-0.789309\pi\) |
0.930029 | − | 0.367487i | \(-0.119782\pi\) | |||||||
\(338\) | 7.19550 | + | 1.38682i | 0.391384 | + | 0.0754330i | ||||
\(339\) | −4.92304 | − | 6.91344i | −0.267383 | − | 0.375487i | ||||
\(340\) | −4.56186 | + | 4.34972i | −0.247401 | + | 0.235897i | ||||
\(341\) | −3.88191 | + | 5.45138i | −0.210217 | + | 0.295209i | ||||
\(342\) | −0.463739 | − | 3.22537i | −0.0250761 | − | 0.174408i | ||||
\(343\) | −11.5945 | − | 14.4418i | −0.626046 | − | 0.779786i | ||||
\(344\) | 9.30718 | 0.501810 | ||||||||
\(345\) | 0.861924 | − | 15.8416i | 0.0464044 | − | 0.852882i | ||||
\(346\) | −7.46622 | + | 12.9319i | −0.401386 | + | 0.695222i | ||||
\(347\) | −13.1890 | + | 6.79938i | −0.708020 | + | 0.365010i | −0.774324 | − | 0.632790i | \(-0.781910\pi\) |
0.0663036 | + | 0.997799i | \(0.478879\pi\) | |||||||
\(348\) | 3.77718 | − | 2.97041i | 0.202478 | − | 0.159231i | ||||
\(349\) | −4.53510 | − | 9.93047i | −0.242758 | − | 0.531566i | 0.748558 | − | 0.663070i | \(-0.230747\pi\) |
−0.991316 | + | 0.131504i | \(0.958019\pi\) | |||||||
\(350\) | 12.4811 | − | 9.56504i | 0.667144 | − | 0.511273i | ||||
\(351\) | 0.989357 | − | 2.16639i | 0.0528080 | − | 0.115633i | ||||
\(352\) | −1.85485 | − | 0.357494i | −0.0988641 | − | 0.0190545i | ||||
\(353\) | 3.18987 | + | 2.50854i | 0.169780 | + | 0.133516i | 0.699434 | − | 0.714698i | \(-0.253436\pi\) |
−0.529654 | + | 0.848214i | \(0.677678\pi\) | |||||||
\(354\) | 0.968079 | − | 3.99047i | 0.0514528 | − | 0.212091i | ||||
\(355\) | 1.98200 | − | 5.72662i | 0.105194 | − | 0.303937i | ||||
\(356\) | 1.75807 | − | 1.12984i | 0.0931775 | − | 0.0598815i | ||||
\(357\) | −4.50936 | + | 2.25379i | −0.238660 | + | 0.119283i | ||||
\(358\) | 1.75339 | + | 2.02352i | 0.0926697 | + | 0.106947i | ||||
\(359\) | −22.1392 | − | 21.1097i | −1.16846 | − | 1.11413i | −0.991527 | − | 0.129905i | \(-0.958533\pi\) |
−0.176936 | − | 0.984222i | \(-0.556619\pi\) | |||||||
\(360\) | 2.60033 | + | 2.04492i | 0.137049 | + | 0.107777i | ||||
\(361\) | 2.74146 | + | 7.92092i | 0.144287 | + | 0.416890i | ||||
\(362\) | −15.3361 | + | 1.46442i | −0.806046 | + | 0.0769681i | ||||
\(363\) | −7.13068 | − | 2.09376i | −0.374263 | − | 0.109894i | ||||
\(364\) | 4.18562 | − | 4.71011i | 0.219386 | − | 0.246877i | ||||
\(365\) | 1.25256 | + | 8.71173i | 0.0655619 | + | 0.455993i | ||||
\(366\) | −0.454091 | + | 9.53255i | −0.0237357 | + | 0.498274i | ||||
\(367\) | −12.9639 | + | 22.4542i | −0.676712 | + | 1.17210i | 0.299254 | + | 0.954174i | \(0.403262\pi\) |
−0.975965 | + | 0.217925i | \(0.930071\pi\) | |||||||
\(368\) | 4.77093 | + | 0.488114i | 0.248702 | + | 0.0254447i | ||||
\(369\) | −2.94182 | − | 5.09539i | −0.153145 | − | 0.265255i | ||||
\(370\) | 14.0015 | + | 8.99823i | 0.727904 | + | 0.467796i | ||||
\(371\) | 26.9930 | − | 16.8741i | 1.40141 | − | 0.876058i | ||||
\(372\) | 1.47173 | + | 3.22263i | 0.0763055 | + | 0.167086i | ||||
\(373\) | −1.69681 | − | 6.99435i | −0.0878575 | − | 0.362153i | 0.910864 | − | 0.412707i | \(-0.135417\pi\) |
−0.998721 | + | 0.0505534i | \(0.983901\pi\) | |||||||
\(374\) | 2.08779 | + | 2.93189i | 0.107957 | + | 0.151604i | ||||
\(375\) | 1.02073 | + | 2.94921i | 0.0527104 | + | 0.152297i | ||||
\(376\) | 1.30636 | − | 0.522988i | 0.0673704 | − | 0.0269710i | ||||
\(377\) | 10.9807 | − | 3.22422i | 0.565533 | − | 0.166056i | ||||
\(378\) | 1.50761 | + | 2.17419i | 0.0775430 | + | 0.111828i | ||||
\(379\) | −24.6708 | + | 15.8549i | −1.26725 | + | 0.814413i | −0.989259 | − | 0.146170i | \(-0.953305\pi\) |
−0.277992 | + | 0.960583i | \(0.589669\pi\) | |||||||
\(380\) | 9.58122 | + | 4.93946i | 0.491506 | + | 0.253389i | ||||
\(381\) | −7.06692 | + | 1.36204i | −0.362049 | + | 0.0697793i | ||||
\(382\) | 3.04757 | − | 12.5623i | 0.155927 | − | 0.642742i | ||||
\(383\) | −1.84890 | + | 0.740186i | −0.0944741 | + | 0.0378217i | −0.418418 | − | 0.908255i | \(-0.637415\pi\) |
0.323944 | + | 0.946076i | \(0.394991\pi\) | |||||||
\(384\) | −0.654861 | + | 0.755750i | −0.0334182 | + | 0.0385667i | ||||
\(385\) | −8.08682 | − | 14.4204i | −0.412143 | − | 0.734931i | ||||
\(386\) | 2.30596 | + | 0.677092i | 0.117370 | + | 0.0344631i | ||||
\(387\) | −5.39869 | + | 7.58141i | −0.274431 | + | 0.385384i | ||||
\(388\) | 4.11093 | + | 1.64577i | 0.208701 | + | 0.0835512i | ||||
\(389\) | 25.2783 | − | 13.0319i | 1.28166 | − | 0.660741i | 0.323297 | − | 0.946297i | \(-0.395209\pi\) |
0.958362 | + | 0.285556i | \(0.0921783\pi\) | |||||||
\(390\) | 3.93928 | + | 6.82304i | 0.199473 | + | 0.345498i | ||||
\(391\) | −5.93732 | − | 6.94629i | −0.300263 | − | 0.351289i | ||||
\(392\) | 2.12329 | + | 6.67021i | 0.107242 | + | 0.336896i | ||||
\(393\) | −5.05190 | − | 3.24666i | −0.254834 | − | 0.163772i | ||||
\(394\) | −4.27589 | + | 3.36260i | −0.215416 | + | 0.169405i | ||||
\(395\) | 9.07804 | + | 0.866848i | 0.456766 | + | 0.0436158i | ||||
\(396\) | 1.36713 | − | 1.30355i | 0.0687007 | − | 0.0655060i | ||||
\(397\) | 5.61528 | − | 0.536194i | 0.281823 | − | 0.0269108i | 0.0468124 | − | 0.998904i | \(-0.485094\pi\) |
0.235010 | + | 0.971993i | \(0.424488\pi\) | |||||||
\(398\) | −14.5465 | + | 16.7876i | −0.729152 | + | 0.841487i | ||||
\(399\) | 6.16461 | + | 6.02695i | 0.308617 | + | 0.301725i | ||||
\(400\) | −5.70265 | + | 1.67445i | −0.285133 | + | 0.0837225i | ||||
\(401\) | 6.75139 | − | 19.5069i | 0.337148 | − | 0.974126i | −0.641238 | − | 0.767342i | \(-0.721579\pi\) |
0.978387 | − | 0.206784i | \(-0.0662998\pi\) | |||||||
\(402\) | 0.247373 | + | 5.19299i | 0.0123378 | + | 0.259003i | ||||
\(403\) | 0.401475 | + | 8.42799i | 0.0199989 | + | 0.419828i | ||||
\(404\) | −1.33042 | + | 3.84400i | −0.0661910 | + | 0.191246i | ||||
\(405\) | −3.17408 | + | 0.931994i | −0.157721 | + | 0.0463112i | ||||
\(406\) | −3.15163 | + | 12.3167i | −0.156413 | + | 0.611266i | ||||
\(407\) | 6.22373 | − | 7.18257i | 0.308499 | − | 0.356027i | ||||
\(408\) | 1.89677 | − | 0.181120i | 0.0939043 | − | 0.00896677i | ||||
\(409\) | −11.2879 | + | 10.7630i | −0.558150 | + | 0.532195i | −0.915786 | − | 0.401666i | \(-0.868431\pi\) |
0.357636 | + | 0.933861i | \(0.383583\pi\) | |||||||
\(410\) | 19.3755 | + | 1.85013i | 0.956886 | + | 0.0913715i | ||||
\(411\) | −13.8516 | + | 10.8930i | −0.683247 | + | 0.537312i | ||||
\(412\) | −11.4716 | − | 7.37234i | −0.565164 | − | 0.363209i | ||||
\(413\) | 4.38912 | + | 9.93796i | 0.215975 | + | 0.489015i | ||||
\(414\) | −3.16501 | + | 3.60315i | −0.155552 | + | 0.177085i | ||||
\(415\) | −4.94883 | − | 8.57162i | −0.242928 | − | 0.420764i | ||||
\(416\) | −2.11686 | + | 1.09132i | −0.103788 | + | 0.0535063i | ||||
\(417\) | −19.5103 | − | 7.81076i | −0.955425 | − | 0.382494i | ||||
\(418\) | 3.57045 | − | 5.01400i | 0.174637 | − | 0.245243i | ||||
\(419\) | −3.00485 | − | 0.882304i | −0.146797 | − | 0.0431034i | 0.207509 | − | 0.978233i | \(-0.433464\pi\) |
−0.354305 | + | 0.935130i | \(0.615283\pi\) | |||||||
\(420\) | −8.75168 | − | 0.109476i | −0.427038 | − | 0.00534191i | ||||
\(421\) | 15.4166 | − | 17.7917i | 0.751361 | − | 0.867117i | −0.243339 | − | 0.969941i | \(-0.578243\pi\) |
0.994699 | + | 0.102825i | \(0.0327881\pi\) | |||||||
\(422\) | −14.7085 | + | 5.88840i | −0.715999 | + | 0.286643i | ||||
\(423\) | −0.331750 | + | 1.36749i | −0.0161302 | + | 0.0664898i | ||||
\(424\) | −11.8144 | + | 2.27704i | −0.573759 | + | 0.110583i | ||||
\(425\) | 10.0657 | + | 5.18922i | 0.488257 | + | 0.251714i | ||||
\(426\) | −1.54105 | + | 0.990372i | −0.0746641 | + | 0.0479837i | ||||
\(427\) | −14.3877 | − | 20.7491i | −0.696267 | − | 1.00412i | ||||
\(428\) | 18.2168 | − | 5.34892i | 0.880540 | − | 0.258550i | ||||
\(429\) | 4.17658 | − | 1.67205i | 0.201647 | − | 0.0807274i | ||||
\(430\) | −10.0701 | − | 29.0955i | −0.485622 | − | 1.40311i | ||||
\(431\) | 0.909495 | + | 1.27721i | 0.0438088 | + | 0.0615209i | 0.835899 | − | 0.548883i | \(-0.184947\pi\) |
−0.792091 | + | 0.610404i | \(0.791007\pi\) | |||||||
\(432\) | −0.235759 | − | 0.971812i | −0.0113430 | − | 0.0467563i | ||||
\(433\) | 13.3921 | + | 29.3245i | 0.643581 | + | 1.40925i | 0.897061 | + | 0.441906i | \(0.145698\pi\) |
−0.253480 | + | 0.967341i | \(0.581575\pi\) | |||||||
\(434\) | −8.27698 | − | 4.39899i | −0.397308 | − | 0.211158i | ||||
\(435\) | −13.3727 | − | 8.59412i | −0.641172 | − | 0.412056i | ||||
\(436\) | −3.66699 | − | 6.35141i | −0.175617 | − | 0.304177i | ||||
\(437\) | −7.90495 | + | 13.4806i | −0.378145 | + | 0.644866i | ||||
\(438\) | 1.33028 | − | 2.30410i | 0.0635630 | − | 0.110094i | ||||
\(439\) | 1.15144 | − | 24.1717i | 0.0549552 | − | 1.15365i | −0.788003 | − | 0.615672i | \(-0.788885\pi\) |
0.842958 | − | 0.537980i | \(-0.180812\pi\) | |||||||
\(440\) | 0.889316 | + | 6.18533i | 0.0423965 | + | 0.294874i | ||||
\(441\) | −6.66502 | − | 2.13952i | −0.317382 | − | 0.101882i | ||||
\(442\) | 4.35411 | + | 1.27848i | 0.207104 | + | 0.0608112i | ||||
\(443\) | −23.0167 | + | 2.19783i | −1.09356 | + | 0.104422i | −0.626211 | − | 0.779653i | \(-0.715395\pi\) |
−0.467345 | + | 0.884075i | \(0.654789\pi\) | |||||||
\(444\) | −1.64555 | − | 4.75449i | −0.0780942 | − | 0.225638i | ||||
\(445\) | −5.43422 | − | 4.27352i | −0.257607 | − | 0.202584i | ||||
\(446\) | −13.9333 | − | 13.2854i | −0.659763 | − | 0.629083i | ||||
\(447\) | 5.36496 | + | 6.19149i | 0.253754 | + | 0.292847i | ||||
\(448\) | 0.158936 | − | 2.64097i | 0.00750903 | − | 0.124774i | ||||
\(449\) | 20.6899 | − | 13.2966i | 0.976416 | − | 0.627504i | 0.0479215 | − | 0.998851i | \(-0.484740\pi\) |
0.928494 | + | 0.371347i | \(0.121104\pi\) | |||||||
\(450\) | 1.94390 | − | 5.61652i | 0.0916362 | − | 0.264765i | ||||
\(451\) | 2.62026 | − | 10.8009i | 0.123383 | − | 0.508593i | ||||
\(452\) | −6.67136 | − | 5.24642i | −0.313795 | − | 0.246771i | ||||
\(453\) | −13.2376 | − | 2.55135i | −0.621958 | − | 0.119873i | ||||
\(454\) | −8.57980 | + | 18.7871i | −0.402670 | + | 0.881725i | ||||
\(455\) | −19.2532 | − | 7.98865i | −0.902602 | − | 0.374514i | ||||
\(456\) | −1.35365 | − | 2.96407i | −0.0633903 | − | 0.138805i | ||||
\(457\) | −14.7149 | + | 11.5719i | −0.688335 | + | 0.541313i | −0.899924 | − | 0.436046i | \(-0.856378\pi\) |
0.211589 | + | 0.977359i | \(0.432136\pi\) | |||||||
\(458\) | 7.95829 | − | 4.10278i | 0.371866 | − | 0.191710i | ||||
\(459\) | −0.952701 | + | 1.65013i | −0.0444683 | + | 0.0770213i | ||||
\(460\) | −3.63608 | − | 15.4427i | −0.169533 | − | 0.720020i | ||||
\(461\) | 15.7880 | 0.735322 | 0.367661 | − | 0.929960i | \(-0.380159\pi\) | ||||
0.367661 | + | 0.929960i | \(0.380159\pi\) | |||||||
\(462\) | −0.773083 | + | 4.93765i | −0.0359671 | + | 0.229720i | ||||
\(463\) | −5.21744 | − | 36.2881i | −0.242475 | − | 1.68645i | −0.639616 | − | 0.768694i | \(-0.720907\pi\) |
0.397141 | − | 0.917758i | \(-0.370002\pi\) | |||||||
\(464\) | 2.78732 | − | 3.91424i | 0.129398 | − | 0.181714i | ||||
\(465\) | 8.48204 | − | 8.08761i | 0.393345 | − | 0.375054i | ||||
\(466\) | −1.18350 | − | 1.66199i | −0.0548244 | − | 0.0769901i | ||||
\(467\) | 30.0914 | + | 5.79963i | 1.39246 | + | 0.268375i | 0.829684 | − | 0.558233i | \(-0.188520\pi\) |
0.562778 | + | 0.826608i | \(0.309733\pi\) | |||||||
\(468\) | 0.338939 | − | 2.35737i | 0.0156674 | − | 0.108969i | ||||
\(469\) | −8.87684 | − | 10.5071i | −0.409894 | − | 0.485175i | ||||
\(470\) | −3.04837 | − | 3.51801i | −0.140611 | − | 0.162274i | ||||
\(471\) | 14.6885 | + | 7.57244i | 0.676810 | + | 0.348920i | ||||
\(472\) | −0.195382 | − | 4.10157i | −0.00899318 | − | 0.188790i | ||||
\(473\) | −17.2635 | + | 3.32726i | −0.793775 | + | 0.152988i | ||||
\(474\) | −1.99511 | − | 1.90233i | −0.0916382 | − | 0.0873769i | ||||
\(475\) | 2.75619 | − | 19.1697i | 0.126462 | − | 0.879566i | ||||
\(476\) | −3.69173 | + | 3.43293i | −0.169210 | + | 0.157348i | ||||
\(477\) | 4.99821 | − | 10.9446i | 0.228852 | − | 0.501117i | ||||
\(478\) | 4.84839 | + | 19.9853i | 0.221760 | + | 0.914108i | ||||
\(479\) | 20.5140 | + | 1.95885i | 0.937309 | + | 0.0895022i | 0.552518 | − | 0.833501i | \(-0.313667\pi\) |
0.384792 | + | 0.923003i | \(0.374273\pi\) | |||||||
\(480\) | 3.07112 | + | 1.22949i | 0.140177 | + | 0.0561183i | ||||
\(481\) | 0.570145 | − | 11.9688i | 0.0259964 | − | 0.545731i | ||||
\(482\) | −23.6797 | −1.07858 | ||||||||
\(483\) | 0.847776 | − | 12.6602i | 0.0385751 | − | 0.576060i | ||||
\(484\) | −7.43171 | −0.337805 | ||||||||
\(485\) | 0.697009 | − | 14.6320i | 0.0316495 | − | 0.664406i | ||||
\(486\) | 0.928368 | + | 0.371662i | 0.0421116 | + | 0.0168590i | ||||
\(487\) | −8.09192 | − | 0.772685i | −0.366680 | − | 0.0350137i | −0.0899100 | − | 0.995950i | \(-0.528658\pi\) |
−0.276770 | + | 0.960936i | \(0.589264\pi\) | |||||||
\(488\) | 2.24993 | + | 9.27434i | 0.101850 | + | 0.419830i | ||||
\(489\) | −8.94328 | + | 19.5831i | −0.404429 | + | 0.885577i | ||||
\(490\) | 18.5547 | − | 13.8546i | 0.838214 | − | 0.625889i | ||||
\(491\) | −3.95174 | + | 27.4849i | −0.178339 | + | 1.24038i | 0.682266 | + | 0.731104i | \(0.260995\pi\) |
−0.860605 | + | 0.509273i | \(0.829914\pi\) | |||||||
\(492\) | −4.25820 | − | 4.06018i | −0.191974 | − | 0.183047i | ||||
\(493\) | −8.99047 | + | 1.73277i | −0.404911 | + | 0.0780401i | ||||
\(494\) | −0.369263 | − | 7.75179i | −0.0166139 | − | 0.348769i | ||||
\(495\) | −5.55428 | − | 2.86343i | −0.249646 | − | 0.128702i | ||||
\(496\) | 2.32003 | + | 2.67746i | 0.104173 | + | 0.120222i | ||||
\(497\) | 1.64234 | − | 4.55987i | 0.0736689 | − | 0.204538i | ||||
\(498\) | −0.425801 | + | 2.96151i | −0.0190806 | + | 0.132708i | ||||
\(499\) | 7.12870 | + | 1.37394i | 0.319124 | + | 0.0615062i | 0.346298 | − | 0.938125i | \(-0.387439\pi\) |
−0.0271736 | + | 0.999631i | \(0.508651\pi\) | |||||||
\(500\) | 1.81028 | + | 2.54218i | 0.0809580 | + | 0.113690i | ||||
\(501\) | −8.20544 | + | 7.82387i | −0.366592 | + | 0.349545i | ||||
\(502\) | 7.46732 | − | 10.4864i | 0.333283 | − | 0.468030i | ||||
\(503\) | −4.06359 | − | 28.2629i | −0.181186 | − | 1.26018i | −0.853963 | − | 0.520333i | \(-0.825808\pi\) |
0.672777 | − | 0.739845i | \(-0.265101\pi\) | |||||||
\(504\) | 2.05908 | + | 1.66138i | 0.0917188 | + | 0.0740038i | ||||
\(505\) | 13.4564 | 0.598801 | ||||||||
\(506\) | −9.02387 | + | 0.800198i | −0.401160 | + | 0.0355731i | ||||
\(507\) | −3.66396 | + | 6.34617i | −0.162722 | + | 0.281843i | ||||
\(508\) | −6.39693 | + | 3.29785i | −0.283818 | + | 0.146318i | ||||
\(509\) | 26.0348 | − | 20.4740i | 1.15397 | − | 0.907494i | 0.157183 | − | 0.987569i | \(-0.449759\pi\) |
0.996789 | + | 0.0800756i | \(0.0255162\pi\) | |||||||
\(510\) | −2.61845 | − | 5.73361i | −0.115947 | − | 0.253889i | ||||
\(511\) | 0.914547 | + | 6.97949i | 0.0404572 | + | 0.308755i | ||||
\(512\) | −0.415415 | + | 0.909632i | −0.0183589 | + | 0.0402004i | ||||
\(513\) | 3.19965 | + | 0.616683i | 0.141268 | + | 0.0272272i | ||||
\(514\) | 7.19636 | + | 5.65928i | 0.317418 | + | 0.249620i | ||||
\(515\) | −10.6351 | + | 43.8384i | −0.468638 | + | 1.93175i | ||||
\(516\) | −3.04408 | + | 8.79529i | −0.134008 | + | 0.387191i | ||||
\(517\) | −2.23614 | + | 1.43708i | −0.0983455 | + | 0.0632028i | ||||
\(518\) | 11.1073 | + | 7.33615i | 0.488027 | + | 0.322332i | ||||
\(519\) | −9.77867 | − | 11.2852i | −0.429236 | − | 0.495365i | ||||
\(520\) | 5.70199 | + | 5.43683i | 0.250049 | + | 0.238421i | ||||
\(521\) | 2.04768 | + | 1.61031i | 0.0897106 | + | 0.0705492i | 0.662007 | − | 0.749498i | \(-0.269705\pi\) |
−0.572296 | + | 0.820047i | \(0.693947\pi\) | |||||||
\(522\) | 1.57164 | + | 4.54097i | 0.0687890 | + | 0.198753i | ||||
\(523\) | 9.41239 | − | 0.898775i | 0.411575 | − | 0.0393007i | 0.112785 | − | 0.993619i | \(-0.464023\pi\) |
0.298790 | + | 0.954319i | \(0.403417\pi\) | |||||||
\(524\) | −5.76195 | − | 1.69186i | −0.251712 | − | 0.0739093i | ||||
\(525\) | 4.95680 | + | 14.9231i | 0.216332 | + | 0.651297i | ||||
\(526\) | −3.92961 | − | 27.3310i | −0.171339 | − | 1.19169i | ||||
\(527\) | 0.321199 | − | 6.74279i | 0.0139916 | − | 0.293721i | ||||
\(528\) | 0.944495 | − | 1.63591i | 0.0411039 | − | 0.0711940i | ||||
\(529\) | 22.6411 | − | 4.04725i | 0.984396 | − | 0.175968i | ||||
\(530\) | 19.9012 | + | 34.4699i | 0.864452 | + | 1.49727i | ||||
\(531\) | 3.45437 | + | 2.21999i | 0.149907 | + | 0.0963394i | ||||
\(532\) | 7.61289 | + | 4.04604i | 0.330061 | + | 0.175418i | ||||
\(533\) | −5.82103 | − | 12.7463i | −0.252137 | − | 0.552103i | ||||
\(534\) | 0.492694 | + | 2.03091i | 0.0213210 | + | 0.0878862i | ||||
\(535\) | −36.4314 | − | 51.1608i | −1.57507 | − | 2.21187i | ||||
\(536\) | 1.70039 | + | 4.91294i | 0.0734455 | + | 0.212207i | ||||
\(537\) | −2.48571 | + | 0.995128i | −0.107266 | + | 0.0429430i | ||||
\(538\) | −27.9946 | + | 8.21995i | −1.20693 | + | 0.354387i | ||||
\(539\) | −6.32295 | − | 11.6132i | −0.272349 | − | 0.500216i | ||||
\(540\) | −2.78294 | + | 1.78848i | −0.119758 | + | 0.0769641i | ||||
\(541\) | 11.6475 | + | 6.00468i | 0.500763 | + | 0.258161i | 0.690052 | − | 0.723760i | \(-0.257588\pi\) |
−0.189288 | + | 0.981922i | \(0.560618\pi\) | |||||||
\(542\) | −21.0921 | + | 4.06518i | −0.905985 | + | 0.174614i | ||||
\(543\) | 3.63206 | − | 14.9716i | 0.155867 | − | 0.642491i | ||||
\(544\) | 1.76891 | − | 0.708166i | 0.0758415 | − | 0.0303624i | ||||
\(545\) | −15.8878 | + | 18.3355i | −0.680560 | + | 0.785408i | ||||
\(546\) | 3.08207 | + | 5.49594i | 0.131901 | + | 0.235205i | ||||
\(547\) | 18.3178 | + | 5.37859i | 0.783213 | + | 0.229972i | 0.648806 | − | 0.760954i | \(-0.275269\pi\) |
0.134407 | + | 0.990926i | \(0.457087\pi\) | |||||||
\(548\) | −10.2216 | + | 14.3542i | −0.436644 | + | 0.613180i | ||||
\(549\) | −8.85975 | − | 3.54691i | −0.378125 | − | 0.151378i | ||||
\(550\) | 9.97899 | − | 5.14453i | 0.425505 | − | 0.219363i | ||||
\(551\) | 7.82905 | + | 13.5603i | 0.333529 | + | 0.577689i | ||||
\(552\) | −2.02169 | + | 4.34888i | −0.0860486 | + | 0.185101i | ||||
\(553\) | 7.25123 | + | 0.784052i | 0.308354 | + | 0.0333413i | ||||
\(554\) | −11.6180 | − | 7.46641i | −0.493600 | − | 0.317217i | ||||
\(555\) | −13.0828 | + | 10.2884i | −0.555333 | + | 0.436719i | ||||
\(556\) | −20.9206 | − | 1.99767i | −0.887230 | − | 0.0847202i | ||||
\(557\) | −29.9879 | + | 28.5934i | −1.27063 | + | 1.21154i | −0.304780 | + | 0.952423i | \(0.598583\pi\) |
−0.965846 | + | 0.259117i | \(0.916569\pi\) | |||||||
\(558\) | −3.52675 | + | 0.336764i | −0.149299 | + | 0.0142563i | ||||
\(559\) | −14.5157 | + | 16.7520i | −0.613949 | + | 0.708535i | ||||
\(560\) | −8.42802 | + | 2.36059i | −0.356149 | + | 0.0997531i | ||||
\(561\) | −3.45349 | + | 1.01404i | −0.145806 | + | 0.0428126i | ||||
\(562\) | −4.33983 | + | 12.5391i | −0.183065 | + | 0.528931i | ||||
\(563\) | 0.0291280 | + | 0.611471i | 0.00122760 | + | 0.0257704i | 0.999398 | − | 0.0346927i | \(-0.0110453\pi\) |
−0.998170 | + | 0.0604632i | \(0.980742\pi\) | |||||||
\(564\) | 0.0669553 | + | 1.40556i | 0.00281933 | + | 0.0591849i | ||||
\(565\) | −9.18284 | + | 26.5321i | −0.386325 | + | 1.11621i | ||||
\(566\) | −1.43366 | + | 0.420962i | −0.0602614 | + | 0.0176943i | ||||
\(567\) | −2.54770 | + | 0.713583i | −0.106994 | + | 0.0299677i | ||||
\(568\) | −1.19961 | + | 1.38442i | −0.0503343 | + | 0.0580889i | ||||
\(569\) | 43.2751 | − | 4.13227i | 1.81419 | − | 0.173234i | 0.867938 | − | 0.496673i | \(-0.165445\pi\) |
0.946249 | + | 0.323439i | \(0.104839\pi\) | |||||||
\(570\) | −7.80150 | + | 7.43872i | −0.326769 | + | 0.311574i | ||||
\(571\) | −19.7619 | − | 1.88703i | −0.827011 | − | 0.0789699i | −0.327038 | − | 0.945011i | \(-0.606051\pi\) |
−0.499973 | + | 0.866041i | \(0.666657\pi\) | |||||||
\(572\) | 3.53633 | − | 2.78100i | 0.147861 | − | 0.116279i | ||||
\(573\) | 10.8746 | + | 6.98867i | 0.454292 | + | 0.291956i | ||||
\(574\) | 15.4765 | + | 1.67342i | 0.645975 | + | 0.0698472i | ||||
\(575\) | −24.0823 | + | 15.2479i | −1.00430 | + | 0.635879i | ||||
\(576\) | −0.500000 | − | 0.866025i | −0.0208333 | − | 0.0360844i | ||||
\(577\) | −29.0350 | + | 14.9686i | −1.20874 | + | 0.623150i | −0.940366 | − | 0.340164i | \(-0.889517\pi\) |
−0.268377 | + | 0.963314i | \(0.586487\pi\) | |||||||
\(578\) | 12.4118 | + | 4.96892i | 0.516261 | + | 0.206680i | ||||
\(579\) | −1.39406 | + | 1.95768i | −0.0579351 | + | 0.0813585i | ||||
\(580\) | −15.2523 | − | 4.47847i | −0.633316 | − | 0.185958i | ||||
\(581\) | −3.87194 | − | 6.90442i | −0.160635 | − | 0.286444i | ||||
\(582\) | −2.89981 | + | 3.34656i | −0.120201 | + | 0.138719i | ||||
\(583\) | 21.1000 | − | 8.44717i | 0.873873 | − | 0.349846i | ||||
\(584\) | 0.627249 | − | 2.58555i | 0.0259557 | − | 0.106991i | ||||
\(585\) | −7.73619 | + | 1.49103i | −0.319852 | + | 0.0616464i | ||||
\(586\) | −1.38057 | − | 0.711731i | −0.0570306 | − | 0.0294013i | ||||
\(587\) | 16.1258 | − | 10.3634i | 0.665584 | − | 0.427745i | −0.163747 | − | 0.986502i | \(-0.552358\pi\) |
0.829331 | + | 0.558758i | \(0.188722\pi\) | |||||||
\(588\) | −6.99781 | − | 0.175101i | −0.288585 | − | 0.00722106i | ||||
\(589\) | −11.0767 | + | 3.25241i | −0.456407 | + | 0.134013i | ||||
\(590\) | −12.6107 | + | 5.04856i | −0.519174 | + | 0.207846i | ||||
\(591\) | −1.77915 | − | 5.14052i | −0.0731844 | − | 0.211453i | ||||
\(592\) | −2.91839 | − | 4.09830i | −0.119945 | − | 0.168439i | ||||
\(593\) | −11.0090 | − | 45.3797i | −0.452085 | − | 1.86352i | −0.502162 | − | 0.864774i | \(-0.667462\pi\) |
0.0500770 | − | 0.998745i | \(-0.484053\pi\) | |||||||
\(594\) | 0.784715 | + | 1.71829i | 0.0321973 | + | 0.0705021i | ||||
\(595\) | 14.7262 | + | 7.82654i | 0.603713 | + | 0.320857i | ||||
\(596\) | 6.89198 | + | 4.42921i | 0.282307 | + | 0.181427i | ||||
\(597\) | −11.1066 | − | 19.2372i | −0.454563 | − | 0.787326i | ||||
\(598\) | −8.31941 | + | 7.82593i | −0.340206 | + | 0.320026i | ||||
\(599\) | −17.5652 | + | 30.4239i | −0.717696 | + | 1.24309i | 0.244214 | + | 0.969721i | \(0.421470\pi\) |
−0.961910 | + | 0.273365i | \(0.911863\pi\) | |||||||
\(600\) | 0.282799 | − | 5.93667i | 0.0115452 | − | 0.242364i | ||||
\(601\) | −0.485533 | − | 3.37695i | −0.0198053 | − | 0.137749i | 0.977520 | − | 0.210844i | \(-0.0676213\pi\) |
−0.997325 | + | 0.0730955i | \(0.976712\pi\) | |||||||
\(602\) | −7.76218 | − | 23.3691i | −0.316363 | − | 0.952452i | ||||
\(603\) | −4.98829 | − | 1.46469i | −0.203139 | − | 0.0596469i | ||||
\(604\) | −13.4202 | + | 1.28148i | −0.546061 | + | 0.0521425i | ||||
\(605\) | 8.04087 | + | 23.2326i | 0.326908 | + | 0.944539i | ||||
\(606\) | −3.19745 | − | 2.51450i | −0.129887 | − | 0.102145i | ||||
\(607\) | −14.6922 | − | 14.0090i | −0.596339 | − | 0.568608i | 0.330623 | − | 0.943763i | \(-0.392741\pi\) |
−0.926962 | + | 0.375154i | \(0.877590\pi\) | |||||||
\(608\) | −2.13389 | − | 2.46264i | −0.0865407 | − | 0.0998732i | ||||
\(609\) | −10.6085 | − | 7.00668i | −0.429877 | − | 0.283925i | ||||
\(610\) | 26.5585 | − | 17.0681i | 1.07532 | − | 0.691069i | ||||
\(611\) | −1.09610 | + | 3.16699i | −0.0443436 | + | 0.128123i | ||||
\(612\) | −0.449215 | + | 1.85169i | −0.0181585 | + | 0.0748502i | ||||
\(613\) | 28.0116 | + | 22.0285i | 1.13138 | + | 0.889724i | 0.994895 | − | 0.100918i | \(-0.0321781\pi\) |
0.136482 | + | 0.990643i | \(0.456421\pi\) | |||||||
\(614\) | −16.3931 | − | 3.15951i | −0.661572 | − | 0.127508i | ||||
\(615\) | −8.08547 | + | 17.7047i | −0.326038 | + | 0.713923i | ||||
\(616\) | 0.649328 | + | 4.95544i | 0.0261622 | + | 0.199660i | ||||
\(617\) | 6.01751 | + | 13.1765i | 0.242256 | + | 0.530467i | 0.991232 | − | 0.132130i | \(-0.0421817\pi\) |
−0.748976 | + | 0.662597i | \(0.769454\pi\) | |||||||
\(618\) | 10.7189 | − | 8.42940i | 0.431176 | − | 0.339080i | ||||
\(619\) | −3.23927 | + | 1.66996i | −0.130197 | + | 0.0671213i | −0.522094 | − | 0.852888i | \(-0.674849\pi\) |
0.391897 | + | 0.920009i | \(0.371819\pi\) | |||||||
\(620\) | 5.85992 | − | 10.1497i | 0.235340 | − | 0.407621i | ||||
\(621\) | −2.36980 | − | 4.16942i | −0.0950969 | − | 0.167313i | ||||
\(622\) | −13.4430 | −0.539016 | ||||||||
\(623\) | −4.30311 | − | 3.47199i | −0.172401 | − | 0.139102i | ||||
\(624\) | −0.338939 | − | 2.35737i | −0.0135684 | − | 0.0943704i | ||||
\(625\) | −11.2490 | + | 15.7970i | −0.449961 | + | 0.631882i | ||||
\(626\) | 13.2645 | − | 12.6477i | 0.530155 | − | 0.505502i | ||||
\(627\) | 3.57045 | + | 5.01400i | 0.142590 | + | 0.200240i | ||||
\(628\) | 16.2269 | + | 3.12748i | 0.647524 | + | 0.124800i | ||||
\(629\) | −1.36430 | + | 9.48889i | −0.0543981 | + | 0.378347i | ||||
\(630\) | 2.96585 | − | 8.23454i | 0.118162 | − | 0.328072i | ||||
\(631\) | 30.3150 | + | 34.9853i | 1.20682 | + | 1.39274i | 0.897047 | + | 0.441934i | \(0.145708\pi\) |
0.309773 | + | 0.950811i | \(0.399747\pi\) | |||||||
\(632\) | −2.45024 | − | 1.26319i | −0.0974652 | − | 0.0502468i | ||||
\(633\) | −0.753860 | − | 15.8255i | −0.0299632 | − | 0.629006i | ||||
\(634\) | 6.90746 | − | 1.33130i | 0.274330 | − | 0.0528728i | ||||
\(635\) | 17.2308 | + | 16.4295i | 0.683783 | + | 0.651986i | ||||
\(636\) | 1.71231 | − | 11.9094i | 0.0678976 | − | 0.472238i | ||||
\(637\) | −15.3173 | − | 6.58130i | −0.606892 | − | 0.260761i | ||||
\(638\) | −3.77075 | + | 8.25680i | −0.149286 | + | 0.326890i | ||||
\(639\) | −0.431875 | − | 1.78021i | −0.0170847 | − | 0.0704241i | ||||
\(640\) | 3.29310 | + | 0.314453i | 0.130171 | + | 0.0124299i | ||||
\(641\) | −39.0053 | − | 15.6154i | −1.54062 | − | 0.616770i | −0.562868 | − | 0.826547i | \(-0.690302\pi\) |
−0.977749 | + | 0.209777i | \(0.932726\pi\) | |||||||
\(642\) | −0.903381 | + | 18.9643i | −0.0356536 | + | 0.748462i | ||||
\(643\) | −42.8453 | −1.68965 | −0.844827 | − | 0.535040i | \(-0.820296\pi\) | ||||
−0.844827 | + | 0.535040i | \(0.820296\pi\) | |||||||
\(644\) | −2.75336 | − | 12.3862i | −0.108498 | − | 0.488086i | ||||
\(645\) | 30.7889 | 1.21231 | ||||||||
\(646\) | −0.295428 | + | 6.20179i | −0.0116235 | + | 0.244006i | ||||
\(647\) | −15.8854 | − | 6.35957i | −0.624521 | − | 0.250020i | 0.0377473 | − | 0.999287i | \(-0.487982\pi\) |
−0.662268 | + | 0.749267i | \(0.730406\pi\) | |||||||
\(648\) | 0.995472 | + | 0.0950560i | 0.0391058 | + | 0.00373415i | ||||
\(649\) | 1.82869 | + | 7.53797i | 0.0717824 | + | 0.295891i | ||||
\(650\) | 5.88015 | − | 12.8757i | 0.230639 | − | 0.505028i | ||||
\(651\) | 6.86418 | − | 6.38299i | 0.269028 | − | 0.250169i | ||||
\(652\) | −3.06383 | + | 21.3094i | −0.119989 | + | 0.834541i | ||||
\(653\) | 28.5709 | + | 27.2423i | 1.11806 | + | 1.06607i | 0.997303 | + | 0.0733913i | \(0.0233822\pi\) |
0.120762 | + | 0.992682i | \(0.461466\pi\) | |||||||
\(654\) | 7.20144 | − | 1.38796i | 0.281599 | − | 0.0542737i | ||||
\(655\) | 0.945248 | + | 19.8432i | 0.0369339 | + | 0.775338i | ||||
\(656\) | −5.22960 | − | 2.69604i | −0.204181 | − | 0.105263i | ||||
\(657\) | 1.74229 | + | 2.01071i | 0.0679732 | + | 0.0784453i | ||||
\(658\) | −2.40266 | − | 2.84392i | −0.0936653 | − | 0.110868i | ||||
\(659\) | −5.95473 | + | 41.4160i | −0.231963 | + | 1.61334i | 0.457630 | + | 0.889143i | \(0.348698\pi\) |
−0.689593 | + | 0.724197i | \(0.742211\pi\) | |||||||
\(660\) | −6.13601 | − | 1.18262i | −0.238844 | − | 0.0460334i | ||||
\(661\) | −17.5119 | − | 24.5920i | −0.681135 | − | 0.956520i | −0.999962 | − | 0.00870685i | \(-0.997228\pi\) |
0.318828 | − | 0.947813i | \(-0.396711\pi\) | |||||||
\(662\) | −3.80611 | + | 3.62912i | −0.147929 | + | 0.141050i | ||||
\(663\) | −2.63226 | + | 3.69649i | −0.102228 | + | 0.143560i | ||||
\(664\) | 0.425801 | + | 2.96151i | 0.0165243 | + | 0.114929i | ||||
\(665\) | 4.41159 | − | 28.1767i | 0.171074 | − | 1.09264i | ||||
\(666\) | 5.03121 | 0.194955 | ||||||||
\(667\) | 7.68429 | − | 21.7263i | 0.297537 | − | 0.841246i | ||||
\(668\) | −5.66882 | + | 9.81869i | −0.219333 | + | 0.379896i | ||||
\(669\) | 17.1119 | − | 8.82179i | 0.661583 | − | 0.341070i | ||||
\(670\) | 13.5188 | − | 10.6313i | 0.522276 | − | 0.410723i | ||||
\(671\) | −7.48882 | − | 16.3982i | −0.289103 | − | 0.633046i | ||||
\(672\) | 2.44374 | + | 1.01397i | 0.0942693 | + | 0.0391148i | ||||
\(673\) | 0.618542 | − | 1.35442i | 0.0238431 | − | 0.0522090i | −0.897336 | − | 0.441348i | \(-0.854500\pi\) |
0.921179 | + | 0.389139i | \(0.127228\pi\) | |||||||
\(674\) | 17.8853 | + | 3.44712i | 0.688918 | + | 0.132778i | ||||
\(675\) | 4.67183 | + | 3.67397i | 0.179819 | + | 0.141411i | ||||
\(676\) | −1.72762 | + | 7.12136i | −0.0664471 | + | 0.273899i | ||||
\(677\) | −13.8097 | + | 39.9005i | −0.530750 | + | 1.53350i | 0.287001 | + | 0.957930i | \(0.407342\pi\) |
−0.817751 | + | 0.575571i | \(0.804780\pi\) | |||||||
\(678\) | 7.13986 | − | 4.58851i | 0.274205 | − | 0.176221i | ||||
\(679\) | 0.703790 | − | 11.6946i | 0.0270090 | − | 0.448796i | ||||
\(680\) | −4.12773 | − | 4.76366i | −0.158291 | − | 0.182678i | ||||
\(681\) | −14.9477 | − | 14.2526i | −0.572797 | − | 0.546161i | ||||
\(682\) | −5.26050 | − | 4.13690i | −0.201435 | − | 0.158410i | ||||
\(683\) | 12.4513 | + | 35.9757i | 0.476436 | + | 1.37657i | 0.885743 | + | 0.464176i | \(0.153649\pi\) |
−0.409307 | + | 0.912397i | \(0.634229\pi\) | |||||||
\(684\) | 3.24379 | − | 0.309744i | 0.124029 | − | 0.0118434i | ||||
\(685\) | 55.9326 | + | 16.4233i | 2.13707 | + | 0.627502i | ||||
\(686\) | 14.9772 | − | 10.8942i | 0.571831 | − | 0.415944i | ||||
\(687\) | 1.27423 | + | 8.86248i | 0.0486150 | + | 0.338125i | ||||
\(688\) | −0.442853 | + | 9.29664i | −0.0168836 | + | 0.354431i | ||||
\(689\) | 14.3276 | − | 24.8161i | 0.545838 | − | 0.945420i | ||||
\(690\) | 15.7826 | + | 1.61472i | 0.600834 | + | 0.0614713i | ||||
\(691\) | −15.4795 | − | 26.8113i | −0.588868 | − | 1.01995i | −0.994381 | − | 0.105861i | \(-0.966240\pi\) |
0.405513 | − | 0.914089i | \(-0.367093\pi\) | |||||||
\(692\) | −12.5620 | − | 8.07309i | −0.477534 | − | 0.306893i | ||||
\(693\) | −4.41323 | − | 2.34551i | −0.167645 | − | 0.0890985i | ||||
\(694\) | −6.16412 | − | 13.4975i | −0.233987 | − | 0.512360i | ||||
\(695\) | 16.3904 | + | 67.5620i | 0.621722 | + | 2.56277i | ||||
\(696\) | 2.78732 | + | 3.91424i | 0.105653 | + | 0.148369i | ||||
\(697\) | 3.66666 | + | 10.5941i | 0.138885 | + | 0.401281i | ||||
\(698\) | 10.1350 | − | 4.05745i | 0.383616 | − | 0.153577i | ||||
\(699\) | 1.95766 | − | 0.574822i | 0.0740456 | − | 0.0217417i | ||||
\(700\) | 8.96033 | + | 12.9221i | 0.338669 | + | 0.488410i | ||||
\(701\) | 13.0263 | − | 8.37147i | 0.491995 | − | 0.316186i | −0.271012 | − | 0.962576i | \(-0.587358\pi\) |
0.763007 | + | 0.646390i | \(0.223722\pi\) | |||||||
\(702\) | 2.11686 | + | 1.09132i | 0.0798958 | + | 0.0411891i | ||||
\(703\) | 16.0981 | − | 3.10266i | 0.607152 | − | 0.117019i | ||||
\(704\) | 0.445346 | − | 1.83574i | 0.0167846 | − | 0.0691872i | ||||
\(705\) | 4.32155 | − | 1.73009i | 0.162759 | − | 0.0651588i | ||||
\(706\) | −2.65748 | + | 3.06690i | −0.100016 | + | 0.115424i | ||||
\(707\) | 10.7614 | + | 0.134616i | 0.404722 | + | 0.00506275i | ||||
\(708\) | 3.93989 | + | 1.15686i | 0.148070 | + | 0.0434773i | ||||
\(709\) | −16.5415 | + | 23.2293i | −0.621230 | + | 0.872396i | −0.998558 | − | 0.0536842i | \(-0.982904\pi\) |
0.377328 | + | 0.926080i | \(0.376843\pi\) | |||||||
\(710\) | 5.62582 | + | 2.25224i | 0.211133 | + | 0.0845250i | ||||
\(711\) | 2.45024 | − | 1.26319i | 0.0918911 | − | 0.0473732i | ||||
\(712\) | 1.04491 | + | 1.80984i | 0.0391597 | + | 0.0678266i | ||||
\(713\) | 14.2310 | + | 9.28217i | 0.532957 | + | 0.347620i | ||||
\(714\) | −2.03668 | − | 4.61149i | −0.0762207 | − | 0.172581i | ||||
\(715\) | −12.5200 | − | 8.04611i | −0.468221 | − | 0.300907i | ||||
\(716\) | −2.10466 | + | 1.65512i | −0.0786549 | + | 0.0618549i | ||||
\(717\) | −20.4719 | − | 1.95483i | −0.764537 | − | 0.0730045i | ||||
\(718\) | 22.1392 | − | 21.1097i | 0.826228 | − | 0.787807i | ||||
\(719\) | 5.27752 | − | 0.503942i | 0.196818 | − | 0.0187939i | 0.00381868 | − | 0.999993i | \(-0.498784\pi\) |
0.193000 | + | 0.981199i | \(0.438178\pi\) | |||||||
\(720\) | −2.16633 | + | 2.50008i | −0.0807345 | + | 0.0931725i | ||||
\(721\) | −8.94366 | + | 34.9521i | −0.333079 | + | 1.30169i | ||||
\(722\) | −8.04239 | + | 2.36146i | −0.299307 | + | 0.0878844i | ||||
\(723\) | 7.74487 | − | 22.3773i | 0.288035 | − | 0.832222i | ||||
\(724\) | −0.733039 | − | 15.3884i | −0.0272432 | − | 0.571905i | ||||
\(725\) | 1.35892 | + | 28.5272i | 0.0504690 | + | 1.05947i | ||||
\(726\) | 2.43068 | − | 7.02298i | 0.0902108 | − | 0.260647i | ||||
\(727\) | −11.6377 | + | 3.41714i | −0.431619 | + | 0.126735i | −0.490323 | − | 0.871541i | \(-0.663121\pi\) |
0.0587044 | + | 0.998275i | \(0.481303\pi\) | |||||||
\(728\) | 4.50561 | + | 4.40500i | 0.166989 | + | 0.163260i | ||||
\(729\) | −0.654861 | + | 0.755750i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | −8.76147 | + | 0.836619i | −0.324276 | + | 0.0309646i | ||||
\(731\) | 12.8346 | − | 12.2378i | 0.474706 | − | 0.452631i | ||||
\(732\) | −9.50014 | − | 0.907154i | −0.351135 | − | 0.0335294i | ||||
\(733\) | 2.26758 | − | 1.78324i | 0.0837548 | − | 0.0658655i | −0.575404 | − | 0.817870i | \(-0.695155\pi\) |
0.659159 | + | 0.752004i | \(0.270913\pi\) | |||||||
\(734\) | −21.8119 | − | 14.0177i | −0.805092 | − | 0.517401i | ||||
\(735\) | 7.02401 | + | 22.0656i | 0.259085 | + | 0.813901i | ||||
\(736\) | −0.714571 | + | 4.74230i | −0.0263394 | + | 0.174803i | ||||
\(737\) | −4.91032 | − | 8.50492i | −0.180874 | − | 0.313283i | ||||
\(738\) | 5.22960 | − | 2.69604i | 0.192504 | − | 0.0992427i | ||||
\(739\) | 27.8502 | + | 11.1495i | 1.02449 | + | 0.410143i | 0.822209 | − | 0.569186i | \(-0.192741\pi\) |
0.202277 | + | 0.979328i | \(0.435166\pi\) | |||||||
\(740\) | −9.65426 | + | 13.5575i | −0.354898 | + | 0.498384i | ||||
\(741\) | 7.44622 | + | 2.18641i | 0.273544 | + | 0.0803197i | ||||
\(742\) | 15.5706 | + | 27.7654i | 0.571614 | + | 1.01930i | ||||
\(743\) | 32.6989 | − | 37.7365i | 1.19961 | − | 1.38442i | 0.296481 | − | 0.955039i | \(-0.404187\pi\) |
0.903124 | − | 0.429379i | \(-0.141268\pi\) | |||||||
\(744\) | −3.28901 | + | 1.31672i | −0.120581 | + | 0.0482734i | ||||
\(745\) | 6.38942 | − | 26.3376i | 0.234090 | − | 0.964933i | ||||
\(746\) | 7.06716 | − | 1.36208i | 0.258747 | − | 0.0498694i | ||||
\(747\) | −2.65936 | − | 1.37100i | −0.0973010 | − | 0.0501621i | ||||
\(748\) | −3.02791 | + | 1.94592i | −0.110711 | + | 0.0711499i | ||||
\(749\) | −28.6232 | − | 41.2788i | −1.04587 | − | 1.50830i | ||||
\(750\) | −2.99444 | + | 0.879248i | −0.109342 | + | 0.0321056i | ||||
\(751\) | 7.24172 | − | 2.89915i | 0.264254 | − | 0.105791i | −0.235752 | − | 0.971813i | \(-0.575755\pi\) |
0.500006 | + | 0.866022i | \(0.333331\pi\) | |||||||
\(752\) | 0.460236 | + | 1.32977i | 0.0167831 | + | 0.0484916i | ||||
\(753\) | 7.46732 | + | 10.4864i | 0.272124 | + | 0.382145i | ||||
\(754\) | 2.69808 | + | 11.1217i | 0.0982584 | + | 0.405027i | ||||
\(755\) | 18.5263 | + | 40.5670i | 0.674241 | + | 1.47638i | ||||
\(756\) | −2.24347 | + | 1.40245i | −0.0815940 | + | 0.0510066i | ||||
\(757\) | 0.305522 | + | 0.196347i | 0.0111044 | + | 0.00713636i | 0.546181 | − | 0.837667i | \(-0.316081\pi\) |
−0.535077 | + | 0.844803i | \(0.679717\pi\) | |||||||
\(758\) | −14.6631 | − | 25.3972i | −0.532587 | − | 0.922468i | ||||
\(759\) | 2.19523 | − | 8.78929i | 0.0796819 | − | 0.319031i | ||||
\(760\) | −5.38976 | + | 9.33534i | −0.195507 | + | 0.338628i | ||||
\(761\) | 0.529843 | − | 11.1228i | 0.0192068 | − | 0.403201i | −0.968708 | − | 0.248203i | \(-0.920160\pi\) |
0.987915 | − | 0.154998i | \(-0.0495370\pi\) | |||||||
\(762\) | −1.02424 | − | 7.12372i | −0.0371042 | − | 0.258065i | ||||
\(763\) | −12.8893 | + | 14.5044i | −0.466623 | + | 0.525094i | ||||
\(764\) | 12.4030 | + | 3.64186i | 0.448726 | + | 0.131758i | ||||
\(765\) | 6.27468 | − | 0.599159i | 0.226862 | − | 0.0216627i | ||||
\(766\) | −0.651374 | − | 1.88202i | −0.0235351 | − | 0.0680002i | ||||
\(767\) | 7.68715 | + | 6.04524i | 0.277567 | + | 0.218281i | ||||
\(768\) | −0.723734 | − | 0.690079i | −0.0261155 | − | 0.0249011i | ||||
\(769\) | 3.98286 | + | 4.59646i | 0.143625 | + | 0.165753i | 0.823004 | − | 0.568035i | \(-0.192296\pi\) |
−0.679379 | + | 0.733788i | \(0.737751\pi\) | |||||||
\(770\) | 14.7888 | − | 7.39151i | 0.532953 | − | 0.266372i | ||||
\(771\) | −7.70173 | + | 4.94960i | −0.277371 | + | 0.178255i | ||||
\(772\) | −0.786047 | + | 2.27113i | −0.0282905 | + | 0.0817399i | ||||
\(773\) | 3.74644 | − | 15.4430i | 0.134750 | − | 0.555447i | −0.863908 | − | 0.503650i | \(-0.831990\pi\) |
0.998658 | − | 0.0517966i | \(-0.0164948\pi\) | |||||||
\(774\) | −7.31594 | − | 5.75332i | −0.262966 | − | 0.206799i | ||||
\(775\) | −20.6757 | − | 3.98492i | −0.742694 | − | 0.143142i | ||||
\(776\) | −1.83951 | + | 4.02797i | −0.0660346 | + | 0.144596i | ||||
\(777\) | −10.5655 | + | 8.09699i | −0.379036 | + | 0.290478i | ||||
\(778\) | 11.8143 | + | 25.8697i | 0.423563 | + | 0.927474i | ||||
\(779\) | 15.0703 | − | 11.8514i | 0.539949 | − | 0.424621i | ||||
\(780\) | −7.00275 | + | 3.61017i | −0.250739 | + | 0.129265i | ||||
\(781\) | 1.73017 | − | 2.99675i | 0.0619105 | − | 0.107232i | ||||
\(782\) | 7.22094 | − | 5.60007i | 0.258220 | − | 0.200258i | ||||
\(783\) | −4.80525 | −0.171726 | ||||||||
\(784\) | −6.76368 | + | 1.80350i | −0.241560 | + | 0.0644108i | ||||
\(785\) | −7.78005 | − | 54.1114i | −0.277682 | − | 1.93132i | ||||
\(786\) | 3.48336 | − | 4.89169i | 0.124247 | − | 0.174481i | ||||
\(787\) | 19.2160 | − | 18.3224i | 0.684975 | − | 0.653122i | −0.265433 | − | 0.964129i | \(-0.585515\pi\) |
0.950408 | + | 0.311007i | \(0.100666\pi\) | |||||||
\(788\) | −3.15533 | − | 4.43104i | −0.112404 | − | 0.157849i | ||||
\(789\) | 27.1131 | + | 5.22562i | 0.965252 | + | 0.186037i | ||||
\(790\) | −1.29782 | + | 9.02651i | −0.0461742 | + | 0.321149i | ||||
\(791\) | −7.60914 | + | 21.1264i | −0.270550 | + | 0.751168i | ||||
\(792\) | 1.23703 | + | 1.42760i | 0.0439558 | + | 0.0507277i | ||||
\(793\) | −20.2020 | − | 10.4148i | −0.717393 | − | 0.369842i | ||||
\(794\) | 0.268401 | + | 5.63443i | 0.00952519 | + | 0.199958i | ||||
\(795\) | −39.0831 | + | 7.53265i | −1.38613 | + | 0.267155i | ||||
\(796\) | −16.0764 | − | 15.3289i | −0.569814 | − | 0.543317i | ||||
\(797\) | 0.545601 | − | 3.79474i | 0.0193262 | − | 0.134417i | −0.977874 | − | 0.209195i | \(-0.932916\pi\) |
0.997200 | + | 0.0747781i | \(0.0238248\pi\) | |||||||
\(798\) | −6.31345 | + | 5.87086i | −0.223494 | + | 0.207826i | ||||
\(799\) | 1.11381 | − | 2.43891i | 0.0394038 | − | 0.0862823i | ||||
\(800\) | −1.40121 | − | 5.77587i | −0.0495403 | − | 0.204208i | ||||
\(801\) | −2.08036 | − | 0.198650i | −0.0735059 | − | 0.00701896i | ||||
\(802\) | 19.1635 | + | 7.67192i | 0.676687 | + | 0.270905i | ||||
\(803\) | −0.239135 | + | 5.02006i | −0.00843889 | + | 0.177154i | ||||
\(804\) | −5.19888 | −0.183350 | ||||||||
\(805\) | −35.7421 | + | 22.0089i | −1.25974 | + | 0.775712i | ||||
\(806\) | −8.43755 | −0.297200 | ||||||||
\(807\) | 1.38827 | − | 29.1434i | 0.0488694 | − | 1.02590i | ||||
\(808\) | −3.77635 | − | 1.51182i | −0.132851 | − | 0.0531857i | ||||
\(809\) | 50.8223 | + | 4.85294i | 1.78682 | + | 0.170620i | 0.935335 | − | 0.353763i | \(-0.115098\pi\) |
0.851482 | + | 0.524384i | \(0.175704\pi\) | |||||||
\(810\) | −0.779910 | − | 3.21483i | −0.0274032 | − | 0.112958i | ||||
\(811\) | 17.5119 | − | 38.3457i | 0.614926 | − | 1.34650i | −0.304227 | − | 0.952600i | \(-0.598398\pi\) |
0.919153 | − | 0.393901i | \(-0.128875\pi\) | |||||||
\(812\) | −12.1528 | − | 3.73411i | −0.426478 | − | 0.131042i | ||||
\(813\) | 3.05697 | − | 21.2617i | 0.107213 | − | 0.745680i | ||||
\(814\) | 6.87830 | + | 6.55844i | 0.241084 | + | 0.229873i | ||||
\(815\) | 69.9312 | − | 13.4781i | 2.44958 | − | 0.472119i | ||||
\(816\) | 0.0906626 | + | 1.90324i | 0.00317383 | + | 0.0666268i | ||||
\(817\) | −26.9564 | − | 13.8970i | −0.943086 | − | 0.486195i | ||||
\(818\) | −10.2137 | − | 11.7872i | −0.357113 | − | 0.412130i | ||||
\(819\) | −6.20172 | + | 1.11502i | −0.216705 | + | 0.0389618i | ||||
\(820\) | −2.76996 | + | 19.2655i | −0.0967311 | + | 0.672780i | ||||
\(821\) | −37.0315 | − | 7.13724i | −1.29241 | − | 0.249091i | −0.503710 | − | 0.863873i | \(-0.668032\pi\) |
−0.788698 | + | 0.614781i | \(0.789244\pi\) | |||||||
\(822\) | −10.2216 | − | 14.3542i | −0.356518 | − | 0.500660i | ||||
\(823\) | −1.40372 | + | 1.33845i | −0.0489307 | + | 0.0466554i | −0.714150 | − | 0.699993i | \(-0.753187\pi\) |
0.665219 | + | 0.746648i | \(0.268338\pi\) | |||||||
\(824\) | 7.90983 | − | 11.1078i | 0.275552 | − | 0.386959i | ||||
\(825\) | 1.59777 | + | 11.1128i | 0.0556273 | + | 0.386897i | ||||
\(826\) | −10.1355 | + | 3.91128i | −0.352661 | + | 0.136091i | ||||
\(827\) | 13.3865 | 0.465493 | 0.232746 | − | 0.972537i | \(-0.425229\pi\) | ||||
0.232746 | + | 0.972537i | \(0.425229\pi\) | |||||||
\(828\) | −3.44847 | − | 3.33287i | −0.119843 | − | 0.115825i | ||||
\(829\) | −17.4064 | + | 30.1487i | −0.604548 | + | 1.04711i | 0.387574 | + | 0.921838i | \(0.373313\pi\) |
−0.992123 | + | 0.125270i | \(0.960020\pi\) | |||||||
\(830\) | 8.79739 | − | 4.53537i | 0.305362 | − | 0.157425i | ||||
\(831\) | 10.8556 | − | 8.53695i | 0.376577 | − | 0.296144i | ||||
\(832\) | −0.989357 | − | 2.16639i | −0.0342998 | − | 0.0751061i | ||||
\(833\) | 11.6985 | + | 6.40637i | 0.405330 | + | 0.221968i | ||||
\(834\) | 8.73025 | − | 19.1166i | 0.302304 | − | 0.661953i | ||||
\(835\) | 36.8281 | + | 7.09803i | 1.27449 | + | 0.245637i | ||||
\(836\) | 4.83843 | + | 3.80499i | 0.167341 | + | 0.131598i | ||||
\(837\) | 0.835244 | − | 3.44292i | 0.0288703 | − | 0.119005i | ||||
\(838\) | 1.02428 | − | 2.95947i | 0.0353832 | − | 0.102233i | ||||
\(839\) | 40.3841 | − | 25.9533i | 1.39421 | − | 0.896006i | 0.394475 | − | 0.918907i | \(-0.370927\pi\) |
0.999738 | + | 0.0229009i | \(0.00729022\pi\) | |||||||
\(840\) | 0.525774 | − | 8.73656i | 0.0181409 | − | 0.301440i | ||||
\(841\) | 3.86993 | + | 4.46614i | 0.133446 | + | 0.154005i | ||||
\(842\) | 17.0380 | + | 16.2457i | 0.587170 | + | 0.559865i | ||||
\(843\) | −10.4301 | − | 8.20229i | −0.359230 | − | 0.282502i | ||||
\(844\) | −5.18187 | − | 14.9720i | −0.178367 | − | 0.515359i | ||||
\(845\) | 24.1316 | − | 2.30429i | 0.830152 | − | 0.0792699i | ||||
\(846\) | −1.35016 | − | 0.396442i | −0.0464194 | − | 0.0136300i | ||||
\(847\) | 6.19804 | + | 18.6600i | 0.212967 | + | 0.641166i | ||||
\(848\) | −1.71231 | − | 11.9094i | −0.0588010 | − | 0.408970i | ||||
\(849\) | 0.0710964 | − | 1.49250i | 0.00244002 | − | 0.0512224i | ||||
\(850\) | −5.66229 | + | 9.80737i | −0.194215 | + | 0.336390i | ||||
\(851\) | −18.8653 | − | 15.0432i | −0.646695 | − | 0.515675i | ||||
\(852\) | −0.915925 | − | 1.58643i | −0.0313791 | − | 0.0543501i | ||||
\(853\) | −27.9625 | − | 17.9704i | −0.957417 | − | 0.615295i | −0.0341353 | − | 0.999417i | \(-0.510868\pi\) |
−0.923282 | + | 0.384122i | \(0.874504\pi\) | |||||||
\(854\) | 21.4102 | − | 13.3841i | 0.732642 | − | 0.457994i | ||||
\(855\) | −4.47797 | − | 9.80539i | −0.153143 | − | 0.335337i | ||||
\(856\) | 4.47608 | + | 18.4506i | 0.152989 | + | 0.630630i | ||||
\(857\) | 2.65794 | + | 3.73256i | 0.0907937 | + | 0.127502i | 0.857474 | − | 0.514527i | \(-0.172032\pi\) |
−0.766681 | + | 0.642029i | \(0.778093\pi\) | |||||||
\(858\) | 1.47143 | + | 4.25141i | 0.0502337 | + | 0.145141i | ||||
\(859\) | −22.3237 | + | 8.93707i | −0.761676 | + | 0.304929i | −0.719789 | − | 0.694193i | \(-0.755761\pi\) |
−0.0418871 | + | 0.999122i | \(0.513337\pi\) | |||||||
\(860\) | 29.5417 | − | 8.67424i | 1.00737 | − | 0.295789i | ||||
\(861\) | −6.64324 | + | 14.0779i | −0.226401 | + | 0.479775i | ||||
\(862\) | −1.31904 | + | 0.847693i | −0.0449265 | + | 0.0288725i | ||||
\(863\) | 4.51270 | + | 2.32646i | 0.153614 | + | 0.0791936i | 0.533320 | − | 0.845914i | \(-0.320944\pi\) |
−0.379705 | + | 0.925107i | \(0.623975\pi\) | |||||||
\(864\) | 0.981929 | − | 0.189251i | 0.0334059 | − | 0.00643846i | ||||
\(865\) | −11.6460 | + | 48.0053i | −0.395974 | + | 1.63223i | ||||
\(866\) | −29.9285 | + | 11.9816i | −1.01701 | + | 0.407151i | ||||
\(867\) | −8.75513 | + | 10.1040i | −0.297340 | + | 0.343148i | ||||
\(868\) | 4.78784 | − | 8.05829i | 0.162510 | − | 0.273516i | ||||
\(869\) | 4.99641 | + | 1.46708i | 0.169492 | + | 0.0497673i | ||||
\(870\) | 9.22068 | − | 12.9486i | 0.312610 | − | 0.439000i | ||||
\(871\) | −11.4948 | − | 4.60182i | −0.389486 | − | 0.155927i | ||||
\(872\) | 6.51870 | − | 3.36062i | 0.220751 | − | 0.113805i | ||||
\(873\) | −2.21406 | − | 3.83487i | −0.0749347 | − | 0.129791i | ||||
\(874\) | −13.0892 | − | 8.53743i | −0.442750 | − | 0.288783i | ||||
\(875\) | 4.87330 | − | 6.66553i | 0.164747 | − | 0.225336i | ||||
\(876\) | 2.23820 | + | 1.43840i | 0.0756217 | + | 0.0485991i | ||||
\(877\) | −44.3488 | + | 34.8763i | −1.49755 | + | 1.17769i | −0.560670 | + | 0.828039i | \(0.689456\pi\) |
−0.936881 | + | 0.349648i | \(0.886301\pi\) | |||||||
\(878\) | 24.0895 | + | 2.30027i | 0.812982 | + | 0.0776304i | ||||
\(879\) | 1.12413 | − | 1.07185i | 0.0379158 | − | 0.0361526i | ||||
\(880\) | −6.22064 | + | 0.593999i | −0.209698 | + | 0.0200237i | ||||
\(881\) | −24.6948 | + | 28.4994i | −0.831990 | + | 0.960168i | −0.999670 | − | 0.0256735i | \(-0.991827\pi\) |
0.167680 | + | 0.985841i | \(0.446372\pi\) | |||||||
\(882\) | 2.45423 | − | 6.55567i | 0.0826382 | − | 0.220741i | ||||
\(883\) | −2.36118 | + | 0.693306i | −0.0794601 | + | 0.0233316i | −0.321221 | − | 0.947004i | \(-0.604093\pi\) |
0.241761 | + | 0.970336i | \(0.422275\pi\) | |||||||
\(884\) | −1.48421 | + | 4.28834i | −0.0499194 | + | 0.144233i | ||||
\(885\) | −0.646339 | − | 13.5683i | −0.0217265 | − | 0.456094i | ||||
\(886\) | −1.10016 | − | 23.0952i | −0.0369606 | − | 0.775898i | ||||
\(887\) | 7.54719 | − | 21.8062i | 0.253410 | − | 0.732179i | −0.744504 | − | 0.667618i | \(-0.767314\pi\) |
0.997914 | − | 0.0645614i | \(-0.0205648\pi\) | |||||||
\(888\) | 4.82741 | − | 1.41745i | 0.161997 | − | 0.0475667i | ||||
\(889\) | 13.6155 | + | 13.3114i | 0.456649 | + | 0.446451i | ||||
\(890\) | 4.52725 | − | 5.22472i | 0.151754 | − | 0.175133i | ||||
\(891\) | −1.88044 | + | 0.179560i | −0.0629970 | + | 0.00601549i | ||||
\(892\) | 13.9333 | − | 13.2854i | 0.466523 | − | 0.444829i | ||||
\(893\) | −4.56452 | − | 0.435859i | −0.152746 | − | 0.0145855i | ||||
\(894\) | −6.43975 | + | 5.06428i | −0.215377 | + | 0.169375i | ||||
\(895\) | 7.45133 | + | 4.78868i | 0.249070 | + | 0.160068i | ||||
\(896\) | 2.63042 | + | 0.284419i | 0.0878761 | + | 0.00950176i | ||||
\(897\) | −4.67450 | − | 10.4215i | −0.156077 | − | 0.347962i | ||||
\(898\) | 12.2971 | + | 21.2991i | 0.410358 | + | 0.710761i | ||||
\(899\) | 15.1315 | − | 7.80085i | 0.504665 | − | 0.260173i | ||||
\(900\) | 5.51767 | + | 2.20894i | 0.183922 | + | 0.0736313i | ||||
\(901\) | −13.2981 | + | 18.6746i | −0.443024 | + | 0.622140i | ||||
\(902\) | 10.6640 | + | 3.13122i | 0.355071 | + | 0.104258i | ||||
\(903\) | 24.6226 | + | 0.308009i | 0.819387 | + | 0.0102499i | ||||
\(904\) | 5.55791 | − | 6.41417i | 0.184853 | − | 0.213332i | ||||
\(905\) | −47.3131 | + | 18.9413i | −1.57274 | + | 0.629630i | ||||
\(906\) | 3.17833 | − | 13.1012i | 0.105593 | − | 0.435260i | ||||
\(907\) | 39.4066 | − | 7.59500i | 1.30847 | − | 0.252188i | 0.513112 | − | 0.858322i | \(-0.328493\pi\) |
0.795363 | + | 0.606134i | \(0.207281\pi\) | |||||||
\(908\) | −18.3576 | − | 9.46401i | −0.609219 | − | 0.314074i | ||||
\(909\) | 3.42199 | − | 2.19918i | 0.113500 | − | 0.0729422i | ||||
\(910\) | 8.89571 | − | 18.8512i | 0.294890 | − | 0.624912i | ||||
\(911\) | −15.5002 | + | 4.55128i | −0.513545 | + | 0.150791i | −0.528229 | − | 0.849102i | \(-0.677144\pi\) |
0.0146841 | + | 0.999892i | \(0.495326\pi\) | |||||||
\(912\) | 3.02512 | − | 1.21108i | 0.100172 | − | 0.0401028i | ||||
\(913\) | −1.84852 | − | 5.34095i | −0.0611771 | − | 0.176759i | ||||
\(914\) | −10.8587 | − | 15.2489i | −0.359173 | − | 0.504388i | ||||
\(915\) | 7.44296 | + | 30.6803i | 0.246057 | + | 1.01426i | ||||
\(916\) | 3.71946 | + | 8.14449i | 0.122895 | + | 0.269102i | ||||
\(917\) | 0.557426 | + | 15.8785i | 0.0184078 | + | 0.524354i | ||||
\(918\) | −1.60293 | − | 1.03014i | −0.0529044 | − | 0.0339996i | ||||
\(919\) | 14.2263 | + | 24.6406i | 0.469281 | + | 0.812818i | 0.999383 | − | 0.0351155i | \(-0.0111799\pi\) |
−0.530103 | + | 0.847934i | \(0.677847\pi\) | |||||||
\(920\) | 15.5982 | − | 2.89716i | 0.514258 | − | 0.0955167i | ||||
\(921\) | 8.34741 | − | 14.4581i | 0.275056 | − | 0.476412i | ||||
\(922\) | −0.751225 | + | 15.7702i | −0.0247403 | + | 0.519362i | ||||
\(923\) | −0.620885 | − | 4.31835i | −0.0204367 | − | 0.142140i | ||||
\(924\) | −4.89527 | − | 1.00715i | −0.161043 | − | 0.0331328i | ||||
\(925\) | 28.6912 | + | 8.42451i | 0.943362 | + | 0.276996i | ||||
\(926\) | 36.4953 | − | 3.48488i | 1.19931 | − | 0.114520i | ||||
\(927\) | 4.46000 | + | 12.8863i | 0.146486 | + | 0.423242i | ||||
\(928\) | 3.77718 | + | 2.97041i | 0.123992 | + | 0.0975085i | ||||
\(929\) | −19.6799 | − | 18.7648i | −0.645677 | − | 0.615652i | 0.294779 | − | 0.955565i | \(-0.404754\pi\) |
−0.940457 | + | 0.339913i | \(0.889602\pi\) | |||||||
\(930\) | 7.67486 | + | 8.85726i | 0.251669 | + | 0.290441i | ||||
\(931\) | 3.80992 | − | 22.4893i | 0.124865 | − | 0.737058i | ||||
\(932\) | 1.71642 | − | 1.10307i | 0.0562231 | − | 0.0361324i | ||||
\(933\) | 4.39678 | − | 12.7037i | 0.143944 | − | 0.415899i | ||||
\(934\) | −7.22487 | + | 29.7813i | −0.236405 | + | 0.974475i | ||||
\(935\) | 9.35932 | + | 7.36025i | 0.306083 | + | 0.240706i | ||||
\(936\) | 2.33857 | + | 0.450723i | 0.0764387 | + | 0.0147323i | ||||
\(937\) | 6.22859 | − | 13.6387i | 0.203479 | − | 0.445557i | −0.780190 | − | 0.625543i | \(-0.784878\pi\) |
0.983669 | + | 0.179985i | \(0.0576050\pi\) | |||||||
\(938\) | 10.9176 | − | 8.36683i | 0.356473 | − | 0.273187i | ||||
\(939\) | 7.61366 | + | 16.6716i | 0.248462 | + | 0.544057i | ||||
\(940\) | 3.65907 | − | 2.87753i | 0.119346 | − | 0.0938546i | ||||
\(941\) | 41.9717 | − | 21.6379i | 1.36824 | − | 0.705377i | 0.391575 | − | 0.920146i | \(-0.371930\pi\) |
0.976665 | + | 0.214770i | \(0.0689001\pi\) | |||||||
\(942\) | −8.26277 | + | 14.3115i | −0.269216 | + | 0.466295i | ||||
\(943\) | −27.6704 | − | 5.52715i | −0.901071 | − | 0.179989i | ||||
\(944\) | 4.10622 | 0.133646 | ||||||||
\(945\) | 6.81161 | + | 5.49598i | 0.221582 | + | 0.178784i | ||||
\(946\) | −2.50206 | − | 17.4022i | −0.0813491 | − | 0.565795i | ||||
\(947\) | −1.15522 | + | 1.62228i | −0.0375396 | + | 0.0527170i | −0.832919 | − | 0.553395i | \(-0.813332\pi\) |
0.795380 | + | 0.606112i | \(0.207272\pi\) | |||||||
\(948\) | 1.99511 | − | 1.90233i | 0.0647980 | − | 0.0617848i | ||||
\(949\) | 3.67547 | + | 5.16148i | 0.119311 | + | 0.167549i | ||||
\(950\) | 19.0168 | + | 3.66520i | 0.616988 | + | 0.118915i | ||||
\(951\) | −1.00113 | + | 6.96298i | −0.0324637 | + | 0.225790i | ||||
\(952\) | −3.25338 | − | 3.85089i | −0.105443 | − | 0.124808i | ||||
\(953\) | −29.2204 | − | 33.7221i | −0.946542 | − | 1.09237i | −0.995613 | − | 0.0935719i | \(-0.970171\pi\) |
0.0490709 | − | 0.998795i | \(-0.484374\pi\) | |||||||
\(954\) | 10.6943 | + | 5.51332i | 0.346242 | + | 0.178500i | ||||
\(955\) | −2.03472 | − | 42.7140i | −0.0658419 | − | 1.38219i | ||||
\(956\) | −20.1934 | + | 3.89196i | −0.653101 | + | 0.125875i | ||||
\(957\) | −6.56939 | − | 6.26390i | −0.212358 | − | 0.202483i | ||||
\(958\) | −2.93273 | + | 20.3976i | −0.0947521 | + | 0.659016i | ||||
\(959\) | 44.5662 | + | 13.6936i | 1.43912 | + | 0.442190i | ||||
\(960\) | −1.37423 | + | 3.00914i | −0.0443530 | + | 0.0971195i | ||||
\(961\) | −4.34943 | − | 17.9286i | −0.140304 | − | 0.578342i | ||||
\(962\) | 11.9281 | + | 1.13900i | 0.384578 | + | 0.0367228i | ||||
\(963\) | −17.6258 | − | 7.05631i | −0.567984 | − | 0.227387i | ||||
\(964\) | 1.12673 | − | 23.6529i | 0.0362894 | − | 0.761808i | ||||
\(965\) | 7.95036 | 0.255931 | ||||||||
\(966\) | 12.6055 | + | 1.44921i | 0.405577 | + | 0.0466277i | ||||
\(967\) | −24.6654 | −0.793187 | −0.396593 | − | 0.917994i | \(-0.629808\pi\) | ||||
−0.396593 | + | 0.917994i | \(0.629808\pi\) | |||||||
\(968\) | 0.353615 | − | 7.42330i | 0.0113656 | − | 0.238594i | ||||
\(969\) | −5.76407 | − | 2.30759i | −0.185169 | − | 0.0741304i | ||||
\(970\) | 14.5823 | + | 1.39244i | 0.468209 | + | 0.0447085i | ||||
\(971\) | 10.5364 | + | 43.4316i | 0.338129 | + | 1.39379i | 0.846380 | + | 0.532579i | \(0.178777\pi\) |
−0.508251 | + | 0.861209i | \(0.669708\pi\) | |||||||
\(972\) | −0.415415 | + | 0.909632i | −0.0133244 | + | 0.0291765i | ||||
\(973\) | 12.4319 | + | 54.1948i | 0.398547 | + | 1.73741i | ||||
\(974\) | 1.15684 | − | 8.04599i | 0.0370675 | − | 0.257810i | ||||
\(975\) | 10.2444 | + | 9.76799i | 0.328082 | + | 0.312826i | ||||
\(976\) | −9.37090 | + | 1.80609i | −0.299955 | + | 0.0578116i | ||||
\(977\) | 0.553994 | + | 11.6298i | 0.0177238 | + | 0.372069i | 0.990252 | + | 0.139285i | \(0.0444804\pi\) |
−0.972528 | + | 0.232784i | \(0.925217\pi\) | |||||||
\(978\) | −19.1353 | − | 9.86495i | −0.611881 | − | 0.315446i | ||||
\(979\) | −2.58516 | − | 2.98344i | −0.0826222 | − | 0.0953511i | ||||
\(980\) | 12.9561 | + | 19.1929i | 0.413867 | + | 0.613094i | ||||
\(981\) | −1.04373 | + | 7.25933i | −0.0333238 | + | 0.231772i | ||||
\(982\) | −27.2658 | − | 5.25505i | −0.870086 | − | 0.167695i | ||||
\(983\) | −20.3971 | − | 28.6437i | −0.650566 | − | 0.913592i | 0.349159 | − | 0.937064i | \(-0.386467\pi\) |
−0.999725 | + | 0.0234717i | \(0.992528\pi\) | |||||||
\(984\) | 4.25820 | − | 4.06018i | 0.135746 | − | 0.129434i | ||||
\(985\) | −10.4381 | + | 14.6583i | −0.332585 | + | 0.467051i | ||||
\(986\) | −1.30303 | − | 9.06274i | −0.0414968 | − | 0.288616i | ||||
\(987\) | 3.47334 | − | 1.34036i | 0.110558 | − | 0.0426640i | ||||
\(988\) | 7.76058 | 0.246897 | ||||||||
\(989\) | 10.2300 | + | 43.4476i | 0.325295 | + | 1.38155i | ||||
\(990\) | 3.12447 | − | 5.41174i | 0.0993021 | − | 0.171996i | ||||
\(991\) | 47.2711 | − | 24.3700i | 1.50162 | − | 0.774137i | 0.505554 | − | 0.862795i | \(-0.331288\pi\) |
0.996062 | + | 0.0886575i | \(0.0282577\pi\) | |||||||
\(992\) | −2.78482 | + | 2.19001i | −0.0884181 | + | 0.0695328i | ||||
\(993\) | −2.18466 | − | 4.78375i | −0.0693282 | − | 0.151808i | ||||
\(994\) | 4.47656 | + | 1.85744i | 0.141988 | + | 0.0589146i | ||||
\(995\) | −30.5260 | + | 66.8425i | −0.967738 | + | 2.11905i | ||||
\(996\) | −2.93789 | − | 0.566233i | −0.0930907 | − | 0.0179418i | ||||
\(997\) | 5.14820 | + | 4.04859i | 0.163045 | + | 0.128220i | 0.696348 | − | 0.717704i | \(-0.254807\pi\) |
−0.533303 | + | 0.845924i | \(0.679049\pi\) | |||||||
\(998\) | −1.71159 | + | 7.05525i | −0.0541793 | + | 0.223330i | ||||
\(999\) | −1.64555 | + | 4.75449i | −0.0520628 | + | 0.150426i |
(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 | 966.2.y.a.25.8 | ✓ | 160 | |
7.2 | even | 3 | inner | 966.2.y.a.163.8 | yes | 160 | |
23.12 | even | 11 | inner | 966.2.y.a.403.8 | yes | 160 | |
161.58 | even | 33 | inner | 966.2.y.a.541.8 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.y.a.25.8 | ✓ | 160 | 1.1 | even | 1 | trivial | |
966.2.y.a.163.8 | yes | 160 | 7.2 | even | 3 | inner | |
966.2.y.a.403.8 | yes | 160 | 23.12 | even | 11 | inner | |
966.2.y.a.541.8 | yes | 160 | 161.58 | even | 33 | inner |