Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(28,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([44]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.28");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.g (of order \(27\), degree \(18\), not 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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | no (minimal twist has level 81) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 55.6 | ||
Character | \(\chi\) | \(=\) | 729.55 |
Dual form | 729.2.g.d.676.6 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{17}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.361975 | − | 0.839152i | 0.255955 | − | 0.593370i | −0.740987 | − | 0.671520i | \(-0.765642\pi\) |
0.996942 | + | 0.0781494i | \(0.0249011\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.799333 | + | 0.847243i | 0.399666 | + | 0.423621i | ||||
\(5\) | 0.221432 | + | 3.80183i | 0.0990272 | + | 1.70023i | 0.572889 | + | 0.819633i | \(0.305822\pi\) |
−0.473862 | + | 0.880599i | \(0.657141\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.706680 | − | 0.167486i | −0.267100 | − | 0.0633039i | 0.0948834 | − | 0.995488i | \(-0.469752\pi\) |
−0.361983 | + | 0.932185i | \(0.617900\pi\) | |||||||
\(8\) | 2.71786 | − | 0.989221i | 0.960910 | − | 0.349743i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 3.27047 | + | 1.19035i | 1.03421 | + | 0.376423i | ||||
\(11\) | 2.24948 | + | 1.47950i | 0.678243 | + | 0.446087i | 0.841328 | − | 0.540525i | \(-0.181774\pi\) |
−0.163086 | + | 0.986612i | \(0.552145\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.57632 | − | 0.534895i | −1.26924 | − | 0.148353i | −0.545317 | − | 0.838230i | \(-0.683591\pi\) |
−0.723927 | + | 0.689877i | \(0.757665\pi\) | |||||||
\(14\) | −0.396347 | + | 0.532387i | −0.105928 | + | 0.142286i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.0182372 | − | 0.313121i | 0.00455931 | − | 0.0782803i | ||||
\(17\) | −0.692702 | + | 0.581246i | −0.168005 | + | 0.140973i | −0.722914 | − | 0.690938i | \(-0.757198\pi\) |
0.554909 | + | 0.831911i | \(0.312753\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.12072 | − | 0.940396i | −0.257111 | − | 0.215742i | 0.505116 | − | 0.863051i | \(-0.331450\pi\) |
−0.762227 | + | 0.647310i | \(0.775894\pi\) | |||||||
\(20\) | −3.04408 | + | 3.22654i | −0.680677 | + | 0.721475i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.05578 | − | 1.35211i | 0.438294 | − | 0.288271i | ||||
\(23\) | 3.79608 | − | 0.899688i | 0.791538 | − | 0.187598i | 0.185090 | − | 0.982722i | \(-0.440742\pi\) |
0.606447 | + | 0.795124i | \(0.292594\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −9.43871 | + | 1.10323i | −1.88774 | + | 0.220645i | ||||
\(26\) | −2.10537 | + | 3.64661i | −0.412898 | + | 0.715160i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.422971 | − | 0.732607i | −0.0799340 | − | 0.138450i | ||||
\(29\) | 3.06986 | + | 4.12353i | 0.570058 | + | 0.765721i | 0.989883 | − | 0.141884i | \(-0.0453161\pi\) |
−0.419825 | + | 0.907605i | \(0.637909\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.86446 | + | 9.56797i | −0.514473 | + | 1.71846i | 0.166402 | + | 0.986058i | \(0.446785\pi\) |
−0.680874 | + | 0.732400i | \(0.738400\pi\) | |||||||
\(32\) | 4.91313 | + | 2.46747i | 0.868528 | + | 0.436191i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.237013 | + | 0.791679i | 0.0406474 | + | 0.135772i | ||||
\(35\) | 0.480274 | − | 2.72377i | 0.0811811 | − | 0.460401i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.348559 | − | 1.97678i | −0.0573028 | − | 0.324980i | 0.942659 | − | 0.333758i | \(-0.108317\pi\) |
−0.999961 | + | 0.00877810i | \(0.997206\pi\) | |||||||
\(38\) | −1.19481 | + | 0.600055i | −0.193824 | + | 0.0973418i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 4.36268 | + | 10.1138i | 0.689800 | + | 1.59914i | ||||
\(41\) | −2.59790 | − | 6.02260i | −0.405723 | − | 0.940572i | −0.991501 | − | 0.130100i | \(-0.958470\pi\) |
0.585778 | − | 0.810472i | \(-0.300789\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.51223 | − | 3.27057i | 0.993106 | − | 0.498757i | 0.123416 | − | 0.992355i | \(-0.460615\pi\) |
0.869690 | + | 0.493598i | \(0.164319\pi\) | |||||||
\(44\) | 0.544580 | + | 3.08847i | 0.0820986 | + | 0.465604i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.619111 | − | 3.51115i | 0.0912830 | − | 0.517692i | ||||
\(47\) | 1.28270 | + | 4.28453i | 0.187102 | + | 0.624963i | 0.999144 | + | 0.0413648i | \(0.0131706\pi\) |
−0.812042 | + | 0.583598i | \(0.801644\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.78408 | − | 2.90488i | −0.826298 | − | 0.414982i | ||||
\(50\) | −2.49080 | + | 8.31986i | −0.352253 | + | 1.17661i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −3.20482 | − | 4.30482i | −0.444428 | − | 0.596971i | ||||
\(53\) | 3.43548 | + | 5.95043i | 0.471900 | + | 0.817355i | 0.999483 | − | 0.0321487i | \(-0.0102350\pi\) |
−0.527583 | + | 0.849503i | \(0.676902\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −5.12672 | + | 8.87974i | −0.691287 | + | 1.19734i | ||||
\(56\) | −2.08634 | + | 0.243858i | −0.278799 | + | 0.0325870i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 4.57148 | − | 1.08346i | 0.600265 | − | 0.142265i | ||||
\(59\) | 0.590929 | − | 0.388660i | 0.0769324 | − | 0.0505992i | −0.510460 | − | 0.859901i | \(-0.670525\pi\) |
0.587392 | + | 0.809302i | \(0.300155\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.83608 | − | 1.94613i | 0.235086 | − | 0.249177i | −0.599081 | − | 0.800688i | \(-0.704467\pi\) |
0.834167 | + | 0.551512i | \(0.185949\pi\) | |||||||
\(62\) | 6.99212 | + | 5.86709i | 0.888000 | + | 0.745121i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4.32956 | − | 3.63293i | 0.541195 | − | 0.454116i | ||||
\(65\) | 1.02024 | − | 17.5169i | 0.126545 | − | 2.17270i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 8.91352 | − | 11.9729i | 1.08896 | − | 1.46273i | 0.215073 | − | 0.976598i | \(-0.431001\pi\) |
0.873887 | − | 0.486129i | \(-0.161591\pi\) | |||||||
\(68\) | −1.04616 | − | 0.122278i | −0.126865 | − | 0.0148284i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −2.11181 | − | 1.38896i | −0.252409 | − | 0.166012i | ||||
\(71\) | −9.19719 | − | 3.34750i | −1.09151 | − | 0.397276i | −0.267328 | − | 0.963606i | \(-0.586141\pi\) |
−0.824179 | + | 0.566330i | \(0.808363\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 15.0748 | − | 5.48678i | 1.76437 | − | 0.642179i | 0.764376 | − | 0.644771i | \(-0.223047\pi\) |
0.999997 | + | 0.00259223i | \(0.000825133\pi\) | |||||||
\(74\) | −1.78499 | − | 0.423050i | −0.207501 | − | 0.0491785i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.0990843 | − | 1.70121i | −0.0113658 | − | 0.195142i | ||||
\(77\) | −1.34186 | − | 1.42229i | −0.152920 | − | 0.162085i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.89166 | − | 4.38536i | 0.212828 | − | 0.493391i | −0.778042 | − | 0.628213i | \(-0.783787\pi\) |
0.990870 | + | 0.134821i | \(0.0430461\pi\) | |||||||
\(80\) | 1.19447 | 0.133546 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −5.99425 | −0.661954 | ||||||||
\(83\) | −2.86882 | + | 6.65067i | −0.314894 | + | 0.730006i | 0.685105 | + | 0.728444i | \(0.259756\pi\) |
−0.999999 | + | 0.00156176i | \(0.999503\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.36319 | − | 2.50483i | −0.256324 | − | 0.271687i | ||||
\(86\) | −0.387238 | − | 6.64862i | −0.0417569 | − | 0.716939i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 7.57733 | + | 1.79586i | 0.807746 | + | 0.191439i | ||||
\(89\) | 7.00321 | − | 2.54896i | 0.742339 | − | 0.270189i | 0.0569608 | − | 0.998376i | \(-0.481859\pi\) |
0.685378 | + | 0.728187i | \(0.259637\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.14441 | + | 1.14447i | 0.329624 | + | 0.119973i | ||||
\(92\) | 3.79659 | + | 2.49705i | 0.395821 | + | 0.260336i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.05968 | + | 0.474509i | 0.418724 | + | 0.0489418i | ||||
\(95\) | 3.32707 | − | 4.46903i | 0.341350 | − | 0.458512i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.258735 | − | 4.44232i | 0.0262706 | − | 0.451049i | −0.959366 | − | 0.282166i | \(-0.908947\pi\) |
0.985636 | − | 0.168883i | \(-0.0540159\pi\) | |||||||
\(98\) | −4.53133 | + | 3.80223i | −0.457733 | + | 0.384084i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −8.47937 | − | 7.11504i | −0.847937 | − | 0.711504i | ||||
\(101\) | 7.50105 | − | 7.95065i | 0.746383 | − | 0.791119i | −0.237222 | − | 0.971455i | \(-0.576237\pi\) |
0.983605 | + | 0.180336i | \(0.0577185\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.04794 | + | 2.66237i | −0.398856 | + | 0.262332i | −0.733053 | − | 0.680172i | \(-0.761905\pi\) |
0.334197 | + | 0.942503i | \(0.391535\pi\) | |||||||
\(104\) | −12.9669 | + | 3.07322i | −1.27151 | + | 0.301354i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 6.23688 | − | 0.728986i | 0.605779 | − | 0.0708054i | ||||
\(107\) | 1.36707 | − | 2.36783i | 0.132159 | − | 0.228906i | −0.792349 | − | 0.610067i | \(-0.791142\pi\) |
0.924509 | + | 0.381161i | \(0.124476\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.70034 | + | 2.94507i | 0.162863 | + | 0.282087i | 0.935894 | − | 0.352281i | \(-0.114594\pi\) |
−0.773031 | + | 0.634368i | \(0.781261\pi\) | |||||||
\(110\) | 5.59571 | + | 7.51635i | 0.533530 | + | 0.716655i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.0653315 | + | 0.218222i | −0.00617324 | + | 0.0206201i | ||||
\(113\) | 8.41203 | + | 4.22468i | 0.791337 | + | 0.397424i | 0.798079 | − | 0.602553i | \(-0.205850\pi\) |
−0.00674204 | + | 0.999977i | \(0.502146\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.26104 | + | 14.2328i | 0.397344 | + | 1.32722i | ||||
\(116\) | −1.03980 | + | 5.89699i | −0.0965428 | + | 0.547521i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.112244 | − | 0.636565i | −0.0103329 | − | 0.0586005i | ||||
\(119\) | 0.586870 | − | 0.294737i | 0.0537983 | − | 0.0270185i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.48567 | − | 3.44416i | −0.135061 | − | 0.313106i | ||||
\(122\) | −0.968487 | − | 2.24520i | −0.0876827 | − | 0.203271i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −10.3961 | + | 5.22109i | −0.933593 | + | 0.468868i | ||||
\(125\) | −2.97782 | − | 16.8880i | −0.266344 | − | 1.51051i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.36769 | + | 7.75655i | −0.121363 | + | 0.688283i | 0.862039 | + | 0.506842i | \(0.169187\pi\) |
−0.983402 | + | 0.181441i | \(0.941924\pi\) | |||||||
\(128\) | 1.67226 | + | 5.58574i | 0.147808 | + | 0.493714i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −14.3300 | − | 7.19680i | −1.25683 | − | 0.631201i | ||||
\(131\) | −0.310717 | + | 1.03787i | −0.0271475 | + | 0.0906789i | −0.970490 | − | 0.241142i | \(-0.922478\pi\) |
0.943342 | + | 0.331821i | \(0.107663\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.634488 | + | 0.852265i | 0.0550171 | + | 0.0739008i | ||||
\(134\) | −6.82065 | − | 11.8137i | −0.589214 | − | 1.02055i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.30769 | + | 2.26498i | −0.112133 | + | 0.194221i | ||||
\(137\) | 0.730936 | − | 0.0854341i | 0.0624481 | − | 0.00729913i | −0.0848115 | − | 0.996397i | \(-0.527029\pi\) |
0.147260 | + | 0.989098i | \(0.452955\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.09766 | + | 0.971163i | −0.347559 | + | 0.0823730i | −0.400688 | − | 0.916215i | \(-0.631229\pi\) |
0.0531287 | + | 0.998588i | \(0.483081\pi\) | |||||||
\(140\) | 2.69159 | − | 1.77029i | 0.227481 | − | 0.149617i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −6.13822 | + | 6.50613i | −0.515108 | + | 0.545983i | ||||
\(143\) | −9.50295 | − | 7.97392i | −0.794676 | − | 0.666813i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −14.9972 | + | 12.5842i | −1.24545 | + | 1.04506i | ||||
\(146\) | 0.852458 | − | 14.6361i | 0.0705499 | − | 1.21130i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.39620 | − | 1.87542i | 0.114767 | − | 0.154158i | ||||
\(149\) | −11.5926 | − | 1.35499i | −0.949706 | − | 0.111005i | −0.372887 | − | 0.927877i | \(-0.621632\pi\) |
−0.576819 | + | 0.816872i | \(0.695706\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 4.00498 | + | 2.63412i | 0.325920 | + | 0.214361i | 0.701915 | − | 0.712261i | \(-0.252329\pi\) |
−0.375995 | + | 0.926622i | \(0.622699\pi\) | |||||||
\(152\) | −3.97623 | − | 1.44723i | −0.322515 | − | 0.117386i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.67924 | + | 0.611194i | −0.135317 | + | 0.0492514i | ||||
\(155\) | −37.0101 | − | 8.77156i | −2.97272 | − | 0.704549i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.543531 | − | 9.33207i | −0.0433785 | − | 0.744780i | −0.947942 | − | 0.318442i | \(-0.896840\pi\) |
0.904564 | − | 0.426338i | \(-0.140197\pi\) | |||||||
\(158\) | −2.99525 | − | 3.17478i | −0.238289 | − | 0.252572i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −8.29298 | + | 19.2253i | −0.655618 | + | 1.51989i | ||||
\(161\) | −2.83330 | −0.223295 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −7.79498 | −0.610550 | −0.305275 | − | 0.952264i | \(-0.598748\pi\) | ||||
−0.305275 | + | 0.952264i | \(0.598748\pi\) | |||||||
\(164\) | 3.02602 | − | 7.01511i | 0.236293 | − | 0.547788i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.54249 | + | 4.81475i | 0.352565 | + | 0.373697i | ||||
\(167\) | −0.628896 | − | 10.7977i | −0.0486654 | − | 0.835553i | −0.931020 | − | 0.364968i | \(-0.881080\pi\) |
0.882355 | − | 0.470585i | \(-0.155957\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 8.00703 | + | 1.89770i | 0.615925 | + | 0.145977i | ||||
\(170\) | −2.95735 | + | 1.07639i | −0.226818 | + | 0.0825551i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 7.97640 | + | 2.90317i | 0.608195 | + | 0.221365i | ||||
\(173\) | 9.71059 | + | 6.38676i | 0.738282 | + | 0.485576i | 0.862106 | − | 0.506728i | \(-0.169145\pi\) |
−0.123823 | + | 0.992304i | \(0.539516\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 6.85493 | + | 0.801226i | 0.518184 | + | 0.0605670i | ||||
\(176\) | 0.504289 | − | 0.677377i | 0.0380122 | − | 0.0510592i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.396021 | − | 6.79942i | 0.0296831 | − | 0.509638i | ||||
\(179\) | 2.09069 | − | 1.75429i | 0.156265 | − | 0.131122i | −0.561303 | − | 0.827611i | \(-0.689700\pi\) |
0.717568 | + | 0.696488i | \(0.245255\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −11.5914 | − | 9.72633i | −0.861581 | − | 0.722953i | 0.100727 | − | 0.994914i | \(-0.467883\pi\) |
−0.962308 | + | 0.271962i | \(0.912328\pi\) | |||||||
\(182\) | 2.09858 | − | 2.22437i | 0.155557 | − | 0.164881i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 9.42724 | − | 6.20039i | 0.694985 | − | 0.457099i | ||||
\(185\) | 7.43820 | − | 1.76288i | 0.546867 | − | 0.129610i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2.41817 | + | 0.282644i | −0.176834 | + | 0.0206690i | ||||
\(188\) | −2.60473 | + | 4.51153i | −0.189970 | + | 0.329037i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.54588 | − | 4.40959i | −0.184697 | − | 0.319905i | ||||
\(191\) | −1.47784 | − | 1.98509i | −0.106933 | − | 0.143636i | 0.745435 | − | 0.666578i | \(-0.232242\pi\) |
−0.852368 | + | 0.522942i | \(0.824834\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.13748 | − | 3.79946i | 0.0818778 | − | 0.273491i | −0.907241 | − | 0.420612i | \(-0.861815\pi\) |
0.989119 | + | 0.147121i | \(0.0470006\pi\) | |||||||
\(194\) | −3.63412 | − | 1.82513i | −0.260915 | − | 0.131036i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.16227 | − | 7.22248i | −0.154448 | − | 0.515892i | ||||
\(197\) | 4.31848 | − | 24.4913i | 0.307679 | − | 1.74493i | −0.302942 | − | 0.953009i | \(-0.597969\pi\) |
0.610621 | − | 0.791923i | \(-0.290920\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.00332 | + | 11.3614i | 0.142011 | + | 0.805386i | 0.969718 | + | 0.244226i | \(0.0785338\pi\) |
−0.827707 | + | 0.561160i | \(0.810355\pi\) | |||||||
\(200\) | −24.5618 | + | 12.3354i | −1.73678 | + | 0.872245i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −3.95661 | − | 9.17246i | −0.278386 | − | 0.645372i | ||||
\(203\) | −1.47877 | − | 3.42818i | −0.103789 | − | 0.240611i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 22.3217 | − | 11.2104i | 1.55901 | − | 0.782966i | ||||
\(206\) | 0.768884 | + | 4.36056i | 0.0535707 | + | 0.303814i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.250947 | + | 1.42319i | −0.0174000 | + | 0.0986804i | ||||
\(209\) | −1.12971 | − | 3.77351i | −0.0781440 | − | 0.261019i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 18.9771 | + | 9.53064i | 1.30643 | + | 0.656116i | 0.959483 | − | 0.281767i | \(-0.0909205\pi\) |
0.346952 | + | 0.937883i | \(0.387217\pi\) | |||||||
\(212\) | −2.29537 | + | 7.66706i | −0.157647 | + | 0.526576i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −1.49212 | − | 2.00427i | −0.101999 | − | 0.137009i | ||||
\(215\) | 13.8762 | + | 24.0342i | 0.946346 | + | 1.63912i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 3.62676 | − | 6.28174i | 0.246201 | − | 0.426432i | ||||
\(218\) | 3.08684 | − | 0.360800i | 0.209068 | − | 0.0244365i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −11.6213 | + | 2.75429i | −0.783505 | + | 0.185694i | ||||
\(221\) | 3.48093 | − | 2.28945i | 0.234153 | − | 0.154005i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.53505 | + | 1.62706i | −0.102795 | + | 0.108956i | −0.776728 | − | 0.629836i | \(-0.783122\pi\) |
0.673933 | + | 0.738792i | \(0.264604\pi\) | |||||||
\(224\) | −3.05875 | − | 2.56659i | −0.204371 | − | 0.171488i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 6.59009 | − | 5.52974i | 0.438366 | − | 0.367833i | ||||
\(227\) | 0.205125 | − | 3.52186i | 0.0136146 | − | 0.233754i | −0.984636 | − | 0.174622i | \(-0.944130\pi\) |
0.998250 | − | 0.0591321i | \(-0.0188333\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −6.30941 | + | 8.47500i | −0.416937 | + | 0.560044i | −0.960126 | − | 0.279566i | \(-0.909809\pi\) |
0.543189 | + | 0.839610i | \(0.317217\pi\) | |||||||
\(230\) | 13.4859 | + | 1.57628i | 0.889235 | + | 0.103937i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 12.4225 | + | 8.17043i | 0.815579 | + | 0.536415i | ||||
\(233\) | 16.8171 | + | 6.12092i | 1.10172 | + | 0.400995i | 0.827952 | − | 0.560799i | \(-0.189506\pi\) |
0.273773 | + | 0.961794i | \(0.411728\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −16.0050 | + | 5.82536i | −1.04405 | + | 0.380005i | ||||
\(236\) | 0.801638 | + | 0.189992i | 0.0521822 | + | 0.0123674i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.0348971 | − | 0.599160i | −0.00226204 | − | 0.0388378i | ||||
\(239\) | −0.254893 | − | 0.270171i | −0.0164877 | − | 0.0174759i | 0.719077 | − | 0.694930i | \(-0.244565\pi\) |
−0.735565 | + | 0.677454i | \(0.763083\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2.49079 | − | 5.77431i | 0.160446 | − | 0.371956i | −0.818962 | − | 0.573848i | \(-0.805450\pi\) |
0.979408 | + | 0.201892i | \(0.0647091\pi\) | |||||||
\(242\) | −3.42795 | −0.220357 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 3.11649 | 0.199513 | ||||||||
\(245\) | 9.76307 | − | 22.6334i | 0.623740 | − | 1.44599i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.62577 | + | 4.90302i | 0.294330 | + | 0.311972i | ||||
\(248\) | 1.67962 | + | 28.8380i | 0.106656 | + | 1.83122i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −15.2495 | − | 3.61420i | −0.964465 | − | 0.228582i | ||||
\(251\) | −4.91237 | + | 1.78796i | −0.310066 | + | 0.112855i | −0.492366 | − | 0.870388i | \(-0.663868\pi\) |
0.182300 | + | 0.983243i | \(0.441646\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 9.87029 | + | 3.59249i | 0.620540 | + | 0.225858i | ||||
\(254\) | 6.01386 | + | 3.95538i | 0.377343 | + | 0.248182i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 16.5198 | + | 1.93089i | 1.03249 | + | 0.120681i | ||||
\(257\) | −1.94989 | + | 2.61916i | −0.121631 | + | 0.163379i | −0.858768 | − | 0.512364i | \(-0.828770\pi\) |
0.737137 | + | 0.675743i | \(0.236177\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.0847632 | + | 1.45533i | −0.00526693 | + | 0.0904297i | ||||
\(260\) | 15.6565 | − | 13.1374i | 0.970978 | − | 0.814747i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.758457 | + | 0.636421i | 0.0468576 | + | 0.0393182i | ||||
\(263\) | −0.961659 | + | 1.01930i | −0.0592984 | + | 0.0628527i | −0.756344 | − | 0.654175i | \(-0.773016\pi\) |
0.697045 | + | 0.717027i | \(0.254498\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −21.8618 | + | 14.3787i | −1.34296 | + | 0.883280i | ||||
\(266\) | 0.944849 | − | 0.223933i | 0.0579324 | − | 0.0137302i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 17.2689 | − | 2.01844i | 1.05486 | − | 0.123296i | ||||
\(269\) | −5.17838 | + | 8.96922i | −0.315732 | + | 0.546863i | −0.979593 | − | 0.200993i | \(-0.935583\pi\) |
0.663861 | + | 0.747856i | \(0.268917\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −9.29809 | − | 16.1048i | −0.564819 | − | 0.978295i | −0.997067 | − | 0.0765398i | \(-0.975613\pi\) |
0.432248 | − | 0.901755i | \(-0.357721\pi\) | |||||||
\(272\) | 0.169368 | + | 0.227500i | 0.0102694 | + | 0.0137942i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.192888 | − | 0.644292i | 0.0116528 | − | 0.0389231i | ||||
\(275\) | −22.8644 | − | 11.4829i | −1.37877 | − | 0.692447i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2.93650 | − | 9.80858i | −0.176437 | − | 0.589341i | −0.999763 | − | 0.0217719i | \(-0.993069\pi\) |
0.823326 | − | 0.567569i | \(-0.192116\pi\) | |||||||
\(278\) | −0.668297 | + | 3.79010i | −0.0400818 | + | 0.227315i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.38909 | − | 7.87793i | −0.0830141 | − | 0.470796i | ||||
\(281\) | −16.0079 | + | 8.03947i | −0.954951 | + | 0.479595i | −0.856841 | − | 0.515581i | \(-0.827576\pi\) |
−0.0981105 | + | 0.995176i | \(0.531280\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −10.5546 | − | 24.4683i | −0.627404 | − | 1.45449i | −0.874271 | − | 0.485437i | \(-0.838660\pi\) |
0.246867 | − | 0.969049i | \(-0.420599\pi\) | |||||||
\(284\) | −4.51547 | − | 10.4680i | −0.267944 | − | 0.621163i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −10.1312 | + | 5.08806i | −0.599068 | + | 0.300863i | ||||
\(287\) | 0.827179 | + | 4.69117i | 0.0488268 | + | 0.276911i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2.81003 | + | 15.9365i | −0.165296 | + | 0.937439i | ||||
\(290\) | 5.13141 | + | 17.1401i | 0.301327 | + | 1.00650i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 16.6984 | + | 8.38626i | 0.977201 | + | 0.490769i | ||||
\(293\) | 8.29474 | − | 27.7063i | 0.484584 | − | 1.61862i | −0.270309 | − | 0.962774i | \(-0.587126\pi\) |
0.754893 | − | 0.655848i | \(-0.227689\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.60847 | + | 2.16055i | 0.0936488 | + | 0.125792i | ||||
\(296\) | −2.90281 | − | 5.02781i | −0.168722 | − | 0.292235i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −5.33328 | + | 9.23752i | −0.308949 | + | 0.535115i | ||||
\(299\) | −17.8533 | + | 2.08675i | −1.03248 | + | 0.120680i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −5.14984 | + | 1.22053i | −0.296832 | + | 0.0703505i | ||||
\(302\) | 3.66013 | − | 2.40730i | 0.210617 | − | 0.138525i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.314897 | + | 0.333771i | −0.0180606 | + | 0.0191431i | ||||
\(305\) | 7.80544 | + | 6.54955i | 0.446938 | + | 0.375026i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.94847 | − | 2.47406i | 0.168278 | − | 0.141202i | −0.554759 | − | 0.832011i | \(-0.687190\pi\) |
0.723038 | + | 0.690809i | \(0.242745\pi\) | |||||||
\(308\) | 0.132432 | − | 2.27377i | 0.00754601 | − | 0.129560i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −20.7574 | + | 27.8820i | −1.17894 | + | 1.58359i | ||||
\(311\) | 14.0725 | + | 1.64484i | 0.797977 | + | 0.0932701i | 0.505303 | − | 0.862942i | \(-0.331381\pi\) |
0.292674 | + | 0.956212i | \(0.405455\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −17.3980 | − | 11.4428i | −0.983391 | − | 0.646786i | −0.0474241 | − | 0.998875i | \(-0.515101\pi\) |
−0.935967 | + | 0.352089i | \(0.885472\pi\) | |||||||
\(314\) | −8.02777 | − | 2.92187i | −0.453033 | − | 0.164891i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 5.22753 | − | 1.90266i | 0.294071 | − | 0.107033i | ||||
\(317\) | 23.7891 | + | 5.63811i | 1.33613 | + | 0.316668i | 0.835736 | − | 0.549132i | \(-0.185041\pi\) |
0.500391 | + | 0.865800i | \(0.333190\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.804786 | + | 13.8176i | 0.0450594 | + | 0.773640i | ||||
\(320\) | 14.7705 | + | 15.6558i | 0.825696 | + | 0.875186i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −1.02558 | + | 2.37757i | −0.0571536 | + | 0.132497i | ||||
\(323\) | 1.32293 | 0.0736096 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 43.7847 | 2.42874 | ||||||||
\(326\) | −2.82159 | + | 6.54117i | −0.156273 | + | 0.362282i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −13.0184 | − | 13.7987i | −0.718822 | − | 0.761906i | ||||
\(329\) | −0.188862 | − | 3.24263i | −0.0104123 | − | 0.178772i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −6.56661 | − | 1.55632i | −0.360934 | − | 0.0855429i | 0.0461480 | − | 0.998935i | \(-0.485305\pi\) |
−0.407082 | + | 0.913392i | \(0.633454\pi\) | |||||||
\(332\) | −7.92788 | + | 2.88551i | −0.435099 | + | 0.158363i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −9.28858 | − | 3.38077i | −0.508249 | − | 0.184987i | ||||
\(335\) | 47.4928 | + | 31.2365i | 2.59481 | + | 1.70663i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 4.23038 | + | 0.494461i | 0.230444 | + | 0.0269350i | 0.230531 | − | 0.973065i | \(-0.425954\pi\) |
−8.72681e−5 | 1.00000i | \(0.500028\pi\) | ||||||||
\(338\) | 4.49080 | − | 6.03220i | 0.244268 | − | 0.328108i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.233229 | − | 4.00439i | 0.0126486 | − | 0.217168i | ||||
\(341\) | −20.5994 | + | 17.2849i | −1.11552 | + | 0.936032i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 7.49539 | + | 6.28938i | 0.404713 | + | 0.339594i | ||||
\(344\) | 14.4640 | − | 15.3310i | 0.779849 | − | 0.826592i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 8.87445 | − | 5.83682i | 0.477093 | − | 0.313789i | ||||
\(347\) | −19.6616 | + | 4.65989i | −1.05549 | + | 0.250156i | −0.721496 | − | 0.692418i | \(-0.756545\pi\) |
−0.333996 | + | 0.942575i | \(0.608397\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −22.8564 | + | 2.67153i | −1.22348 | + | 0.143004i | −0.703199 | − | 0.710993i | \(-0.748246\pi\) |
−0.520278 | + | 0.853997i | \(0.674172\pi\) | |||||||
\(350\) | 3.15366 | − | 5.46231i | 0.168570 | − | 0.291973i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 7.40135 | + | 12.8195i | 0.394493 | + | 0.683282i | ||||
\(353\) | 12.9522 | + | 17.3979i | 0.689378 | + | 0.925995i | 0.999696 | − | 0.0246374i | \(-0.00784313\pi\) |
−0.310319 | + | 0.950633i | \(0.600436\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 10.6901 | − | 35.7074i | 0.567372 | − | 1.89515i | ||||
\(356\) | 7.75749 | + | 3.89596i | 0.411146 | + | 0.206485i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.715344 | − | 2.38942i | −0.0378071 | − | 0.126285i | ||||
\(359\) | −5.76399 | + | 32.6892i | −0.304212 | + | 1.72527i | 0.322981 | + | 0.946405i | \(0.395315\pi\) |
−0.627193 | + | 0.778864i | \(0.715796\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −2.92765 | − | 16.6035i | −0.154087 | − | 0.873869i | ||||
\(362\) | −12.3577 | + | 6.20625i | −0.649505 | + | 0.326193i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.54378 | + | 3.57889i | 0.0809162 | + | 0.187585i | ||||
\(365\) | 24.1979 | + | 56.0969i | 1.26657 | + | 2.93625i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −18.5041 | + | 9.29311i | −0.965906 | + | 0.485096i | −0.860565 | − | 0.509340i | \(-0.829890\pi\) |
−0.105341 | + | 0.994436i | \(0.533593\pi\) | |||||||
\(368\) | −0.212481 | − | 1.20504i | −0.0110764 | − | 0.0628172i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 1.21311 | − | 6.87990i | 0.0630667 | − | 0.357669i | ||||
\(371\) | −1.43117 | − | 4.78045i | −0.0743028 | − | 0.248189i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −3.59966 | − | 1.80782i | −0.186383 | − | 0.0936052i | 0.353161 | − | 0.935563i | \(-0.385107\pi\) |
−0.539544 | + | 0.841958i | \(0.681403\pi\) | |||||||
\(374\) | −0.638137 | + | 2.13152i | −0.0329973 | + | 0.110219i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 7.72457 | + | 10.3759i | 0.398364 | + | 0.535096i | ||||
\(377\) | −11.8430 | − | 20.5127i | −0.609945 | − | 1.05646i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 17.2610 | − | 29.8970i | 0.886640 | − | 1.53570i | 0.0428169 | − | 0.999083i | \(-0.486367\pi\) |
0.843823 | − | 0.536622i | \(-0.180300\pi\) | |||||||
\(380\) | 6.44578 | − | 0.753404i | 0.330662 | − | 0.0386488i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −2.20073 | + | 0.521583i | −0.112599 | + | 0.0266865i | ||||
\(383\) | −11.9143 | + | 7.83617i | −0.608793 | + | 0.400410i | −0.816137 | − | 0.577859i | \(-0.803889\pi\) |
0.207344 | + | 0.978268i | \(0.433518\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 5.11019 | − | 5.41648i | 0.260439 | − | 0.276050i | ||||
\(386\) | −2.77658 | − | 2.32983i | −0.141324 | − | 0.118585i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 3.97054 | − | 3.33168i | 0.201573 | − | 0.169140i | ||||
\(389\) | 1.20812 | − | 20.7426i | 0.0612541 | − | 1.05169i | −0.817963 | − | 0.575271i | \(-0.804897\pi\) |
0.879217 | − | 0.476421i | \(-0.158066\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2.10661 | + | 2.82967i | −0.106536 | + | 0.143103i | ||||
\(392\) | −18.5939 | − | 2.17332i | −0.939134 | − | 0.109769i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −18.9887 | − | 12.4891i | −0.956639 | − | 0.629191i | ||||
\(395\) | 17.0913 | + | 6.22071i | 0.859955 | + | 0.312998i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 21.4426 | − | 7.80446i | 1.07617 | − | 0.391695i | 0.257691 | − | 0.966227i | \(-0.417038\pi\) |
0.818482 | + | 0.574533i | \(0.194816\pi\) | |||||||
\(398\) | 10.2591 | + | 2.43144i | 0.514241 | + | 0.121877i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.173308 | + | 2.97558i | 0.00866540 | + | 0.148779i | ||||
\(401\) | −5.89097 | − | 6.24406i | −0.294181 | − | 0.311814i | 0.563378 | − | 0.826199i | \(-0.309501\pi\) |
−0.857559 | + | 0.514386i | \(0.828020\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 18.2266 | − | 42.2539i | 0.907930 | − | 2.10482i | ||||
\(404\) | 12.7320 | 0.633439 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.41204 | −0.169337 | ||||||||
\(407\) | 2.14057 | − | 4.96241i | 0.106104 | − | 0.245977i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 19.3500 | + | 20.5098i | 0.956798 | + | 1.01415i | 0.999886 | + | 0.0150751i | \(0.00479872\pi\) |
−0.0430887 | + | 0.999071i | \(0.513720\pi\) | |||||||
\(410\) | −1.32732 | − | 22.7891i | −0.0655515 | − | 1.12548i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −5.49133 | − | 1.30147i | −0.270538 | − | 0.0641188i | ||||
\(413\) | −0.482693 | + | 0.175686i | −0.0237518 | + | 0.00864494i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −25.9200 | − | 9.43411i | −1.27236 | − | 0.463102i | ||||
\(416\) | −21.1642 | − | 13.9199i | −1.03766 | − | 0.682481i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −3.57548 | − | 0.417913i | −0.174882 | − | 0.0204408i | ||||
\(419\) | −19.0798 | + | 25.6286i | −0.932108 | + | 1.25204i | 0.0354460 | + | 0.999372i | \(0.488715\pi\) |
−0.967554 | + | 0.252666i | \(0.918693\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.62148 | + | 27.8397i | −0.0790260 | + | 1.35682i | 0.692865 | + | 0.721068i | \(0.256348\pi\) |
−0.771891 | + | 0.635755i | \(0.780689\pi\) | |||||||
\(422\) | 14.8669 | − | 12.4748i | 0.723708 | − | 0.607263i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 15.2235 | + | 12.7740i | 0.739317 | + | 0.620361i | ||||
\(425\) | 5.89697 | − | 6.25042i | 0.286045 | − | 0.303190i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1.62347 | + | 1.06778i | −0.0785654 | + | 0.0516733i | ||||
\(428\) | 3.09886 | − | 0.734444i | 0.149789 | − | 0.0355007i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 25.1912 | − | 2.94443i | 1.21483 | − | 0.141993i | ||||
\(431\) | 16.9276 | − | 29.3195i | 0.815375 | − | 1.41227i | −0.0936837 | − | 0.995602i | \(-0.529864\pi\) |
0.909058 | − | 0.416669i | \(-0.136802\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 4.23939 | + | 7.34284i | 0.203732 | + | 0.352874i | 0.949728 | − | 0.313076i | \(-0.101360\pi\) |
−0.745996 | + | 0.665950i | \(0.768026\pi\) | |||||||
\(434\) | −3.95854 | − | 5.31724i | −0.190016 | − | 0.255236i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.13606 | + | 3.79469i | −0.0544072 | + | 0.181733i | ||||
\(437\) | −5.10041 | − | 2.56152i | −0.243986 | − | 0.122534i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 6.37737 | + | 21.3019i | 0.304375 | + | 1.01668i | 0.964180 | + | 0.265247i | \(0.0854535\pi\) |
−0.659805 | + | 0.751437i | \(0.729361\pi\) | |||||||
\(440\) | −5.14970 | + | 29.2054i | −0.245502 | + | 1.39231i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.661183 | − | 3.74976i | −0.0314493 | − | 0.178358i | ||||
\(443\) | −20.1340 | + | 10.1117i | −0.956596 | + | 0.480420i | −0.857402 | − | 0.514648i | \(-0.827923\pi\) |
−0.0991939 | + | 0.995068i | \(0.531626\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 11.2415 | + | 26.0606i | 0.532896 | + | 1.23539i | ||||
\(446\) | 0.809702 | + | 1.87710i | 0.0383405 | + | 0.0888832i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −3.66808 | + | 1.84218i | −0.173300 | + | 0.0870348i | ||||
\(449\) | 3.85889 | + | 21.8849i | 0.182112 | + | 1.03281i | 0.929610 | + | 0.368546i | \(0.120144\pi\) |
−0.747497 | + | 0.664265i | \(0.768745\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 3.06655 | − | 17.3913i | 0.144398 | − | 0.818924i | ||||
\(452\) | 3.14468 | + | 10.5040i | 0.147913 | + | 0.494064i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −2.88113 | − | 1.44696i | −0.135218 | − | 0.0679091i | ||||
\(455\) | −3.65482 | + | 12.2079i | −0.171341 | + | 0.572317i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1.38320 | − | 1.85796i | −0.0647032 | − | 0.0869115i | 0.768594 | − | 0.639737i | \(-0.220957\pi\) |
−0.833297 | + | 0.552826i | \(0.813549\pi\) | |||||||
\(458\) | 4.82797 | + | 8.36229i | 0.225596 | + | 0.390744i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −8.65270 | + | 14.9869i | −0.403434 | + | 0.698768i | ||||
\(461\) | −24.3727 | + | 2.84876i | −1.13515 | + | 0.132680i | −0.662846 | − | 0.748755i | \(-0.730652\pi\) |
−0.472305 | + | 0.881435i | \(0.656578\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 26.5407 | − | 6.29025i | 1.23345 | − | 0.292333i | 0.438345 | − | 0.898807i | \(-0.355565\pi\) |
0.795103 | + | 0.606474i | \(0.207417\pi\) | |||||||
\(464\) | 1.34715 | − | 0.886036i | 0.0625399 | − | 0.0411332i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 11.2238 | − | 11.8965i | 0.519931 | − | 0.551094i | ||||
\(467\) | 2.81518 | + | 2.36222i | 0.130271 | + | 0.109310i | 0.705595 | − | 0.708615i | \(-0.250680\pi\) |
−0.575324 | + | 0.817925i | \(0.695124\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −8.30431 | + | 6.96815i | −0.383458 | + | 0.321759i | ||||
\(470\) | −0.905062 | + | 15.5393i | −0.0417474 | + | 0.716775i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1.22159 | − | 1.64088i | 0.0562284 | − | 0.0755278i | ||||
\(473\) | 19.4879 | + | 2.27781i | 0.896056 | + | 0.104734i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 11.6156 | + | 7.63972i | 0.532962 | + | 0.350535i | ||||
\(476\) | 0.718818 | + | 0.261628i | 0.0329470 | + | 0.0119917i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −0.318980 | + | 0.116099i | −0.0145898 | + | 0.00531025i | ||||
\(479\) | −2.89958 | − | 0.687214i | −0.132485 | − | 0.0313996i | 0.163838 | − | 0.986487i | \(-0.447613\pi\) |
−0.296324 | + | 0.955088i | \(0.595761\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.537750 | + | 9.23281i | 0.0245193 | + | 0.420980i | ||||
\(482\) | −3.94392 | − | 4.18031i | −0.179641 | − | 0.190408i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.73050 | − | 4.01175i | 0.0786591 | − | 0.182352i | ||||
\(485\) | 16.9462 | 0.769489 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −19.3605 | −0.877310 | −0.438655 | − | 0.898656i | \(-0.644545\pi\) | ||||
−0.438655 | + | 0.898656i | \(0.644545\pi\) | |||||||
\(488\) | 3.06506 | − | 7.10562i | 0.138749 | − | 0.321656i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −15.4588 | − | 16.3854i | −0.698359 | − | 0.740218i | ||||
\(491\) | 0.624138 | + | 10.7160i | 0.0281669 | + | 0.483608i | 0.982665 | + | 0.185390i | \(0.0593550\pi\) |
−0.954498 | + | 0.298217i | \(0.903608\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −4.52328 | − | 1.07204i | −0.203718 | − | 0.0482821i | ||||
\(494\) | 5.78880 | − | 2.10695i | 0.260450 | − | 0.0947961i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.94370 | + | 1.07142i | 0.132176 | + | 0.0481081i | ||||
\(497\) | 5.93882 | + | 3.90602i | 0.266392 | + | 0.175209i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −30.4517 | − | 3.55929i | −1.36320 | − | 0.159336i | −0.597159 | − | 0.802123i | \(-0.703704\pi\) |
−0.766045 | + | 0.642787i | \(0.777778\pi\) | |||||||
\(500\) | 11.9280 | − | 16.0221i | 0.533436 | − | 0.716529i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.277787 | + | 4.76942i | −0.0123982 | + | 0.212870i | ||||
\(503\) | −21.3536 | + | 17.9178i | −0.952111 | + | 0.798916i | −0.979652 | − | 0.200705i | \(-0.935677\pi\) |
0.0275408 | + | 0.999621i | \(0.491232\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 31.8880 | + | 26.7572i | 1.41900 | + | 1.19068i | ||||
\(506\) | 6.58744 | − | 6.98228i | 0.292848 | − | 0.310400i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −7.66492 | + | 5.04130i | −0.340076 | + | 0.223671i | ||||
\(509\) | 36.4747 | − | 8.64466i | 1.61671 | − | 0.383168i | 0.679984 | − | 0.733227i | \(-0.261987\pi\) |
0.936728 | + | 0.350059i | \(0.113839\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −11.5720 | + | 1.35258i | −0.511916 | + | 0.0598345i | ||||
\(512\) | 1.76939 | − | 3.06468i | 0.0781968 | − | 0.135441i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 1.49206 | + | 2.58432i | 0.0658120 | + | 0.113990i | ||||
\(515\) | −11.0182 | − | 14.8001i | −0.485522 | − | 0.652169i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.45357 | + | 11.5357i | −0.151888 | + | 0.507340i | ||||
\(518\) | 1.19056 | + | 0.597922i | 0.0523102 | + | 0.0262712i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −14.5552 | − | 48.6177i | −0.638287 | − | 2.13203i | ||||
\(521\) | 6.93526 | − | 39.3318i | 0.303839 | − | 1.72316i | −0.325079 | − | 0.945687i | \(-0.605391\pi\) |
0.628918 | − | 0.777472i | \(-0.283498\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 1.17678 | + | 6.67383i | 0.0514568 | + | 0.291826i | 0.999667 | − | 0.0258185i | \(-0.00821918\pi\) |
−0.948210 | + | 0.317645i | \(0.897108\pi\) | |||||||
\(524\) | −1.12769 | + | 0.566348i | −0.0492634 | + | 0.0247410i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0.507251 | + | 1.17594i | 0.0221172 | + | 0.0512734i | ||||
\(527\) | −3.57713 | − | 8.29271i | −0.155822 | − | 0.361236i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −6.95276 | + | 3.49181i | −0.302294 | + | 0.151818i | ||||
\(530\) | 4.15253 | + | 23.5502i | 0.180374 | + | 1.02295i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.214909 | + | 1.21881i | −0.00931748 | + | 0.0528421i | ||||
\(533\) | 8.66735 | + | 28.9510i | 0.375425 | + | 1.25401i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 9.30479 | + | 4.67304i | 0.402281 | + | 0.202033i | ||||
\(536\) | 12.3818 | − | 41.3583i | 0.534814 | − | 1.78640i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 5.65210 | + | 7.59209i | 0.243679 | + | 0.327318i | ||||
\(539\) | −8.71338 | − | 15.0920i | −0.375312 | − | 0.650059i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 10.2033 | − | 17.6727i | 0.438676 | − | 0.759809i | −0.558912 | − | 0.829227i | \(-0.688781\pi\) |
0.997588 | + | 0.0694179i | \(0.0221142\pi\) | |||||||
\(542\) | −16.8800 | + | 1.97299i | −0.725059 | + | 0.0847473i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −4.83754 | + | 1.14652i | −0.207408 | + | 0.0491566i | ||||
\(545\) | −10.8202 | + | 7.11654i | −0.463485 | + | 0.304839i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.46158 | + | 2.60912i | −0.105249 | + | 0.111558i | −0.777856 | − | 0.628442i | \(-0.783693\pi\) |
0.672607 | + | 0.740000i | \(0.265174\pi\) | |||||||
\(548\) | 0.656644 | + | 0.550990i | 0.0280505 | + | 0.0235371i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −17.9123 | + | 15.0302i | −0.763782 | + | 0.640889i | ||||
\(551\) | 0.437303 | − | 7.50821i | 0.0186297 | − | 0.319860i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.07129 | + | 2.78222i | −0.0880800 | + | 0.118312i | ||||
\(554\) | −9.29384 | − | 1.08629i | −0.394857 | − | 0.0461522i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −4.09820 | − | 2.69543i | −0.173803 | − | 0.114312i | ||||
\(557\) | −2.23552 | − | 0.813664i | −0.0947221 | − | 0.0344760i | 0.294224 | − | 0.955736i | \(-0.404939\pi\) |
−0.388947 | + | 0.921260i | \(0.627161\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −31.5515 | + | 11.4838i | −1.33449 | + | 0.485713i | ||||
\(560\) | −0.844111 | − | 0.200058i | −0.0356702 | − | 0.00845399i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.951880 | + | 16.3432i | 0.0401527 | + | 0.689394i | ||||
\(563\) | 24.2686 | + | 25.7232i | 1.02280 | + | 1.08410i | 0.996428 | + | 0.0844510i | \(0.0269137\pi\) |
0.0263710 | + | 0.999652i | \(0.491605\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −14.1988 | + | 32.9166i | −0.597349 | + | 1.38481i | ||||
\(566\) | −24.3531 | −1.02364 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −28.3081 | −1.18778 | ||||||||
\(569\) | −12.7694 | + | 29.6028i | −0.535322 | + | 1.24102i | 0.409163 | + | 0.912461i | \(0.365821\pi\) |
−0.944485 | + | 0.328554i | \(0.893439\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −2.04866 | − | 2.17145i | −0.0857336 | − | 0.0908723i | 0.683086 | − | 0.730338i | \(-0.260637\pi\) |
−0.768820 | + | 0.639465i | \(0.779156\pi\) | |||||||
\(572\) | −0.840167 | − | 14.4251i | −0.0351292 | − | 0.603145i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 4.23602 | + | 1.00396i | 0.176808 | + | 0.0419043i | ||||
\(575\) | −34.8376 | + | 12.6798i | −1.45283 | + | 0.528786i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −31.1151 | − | 11.3250i | −1.29534 | − | 0.471464i | −0.399862 | − | 0.916575i | \(-0.630942\pi\) |
−0.895475 | + | 0.445111i | \(0.853164\pi\) | |||||||
\(578\) | 12.3560 | + | 8.12665i | 0.513940 | + | 0.338024i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −22.6496 | − | 2.64736i | −0.940474 | − | 0.109926i | ||||
\(581\) | 3.14124 | − | 4.21941i | 0.130320 | − | 0.175051i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.07565 | + | 18.4682i | −0.0445488 | + | 0.764873i | ||||
\(584\) | 35.5436 | − | 29.8246i | 1.47081 | − | 1.23415i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −20.2474 | − | 16.9896i | −0.836411 | − | 0.701832i | ||||
\(587\) | 5.80543 | − | 6.15339i | 0.239616 | − | 0.253978i | −0.596395 | − | 0.802691i | \(-0.703401\pi\) |
0.836010 | + | 0.548714i | \(0.184882\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 12.2079 | − | 8.02929i | 0.503020 | − | 0.330841i | ||||
\(590\) | 2.39526 | − | 0.567687i | 0.0986112 | − | 0.0233713i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.625328 | + | 0.0730904i | −0.0257008 | + | 0.00300400i | ||||
\(593\) | −1.61604 | + | 2.79907i | −0.0663629 | + | 0.114944i | −0.897298 | − | 0.441426i | \(-0.854473\pi\) |
0.830935 | + | 0.556370i | \(0.187806\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.25049 | + | 2.16592i | 0.0512652 | + | 0.0887939i | ||||
\(596\) | −8.11837 | − | 10.9049i | −0.332541 | − | 0.446681i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −4.71135 | + | 15.7370i | −0.192662 | + | 0.643534i | ||||
\(599\) | 0.552166 | + | 0.277308i | 0.0225609 | + | 0.0113305i | 0.460044 | − | 0.887896i | \(-0.347834\pi\) |
−0.437483 | + | 0.899227i | \(0.644130\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −5.21882 | − | 17.4321i | −0.212880 | − | 0.711068i | −0.996013 | − | 0.0892137i | \(-0.971565\pi\) |
0.783133 | − | 0.621855i | \(-0.213621\pi\) | |||||||
\(602\) | −0.839899 | + | 4.76331i | −0.0342317 | + | 0.194138i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.969573 | + | 5.49872i | 0.0394514 | + | 0.223740i | ||||
\(605\) | 12.7652 | − | 6.41090i | 0.518977 | − | 0.260640i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2.86882 | − | 6.65067i | −0.116442 | − | 0.269942i | 0.850021 | − | 0.526748i | \(-0.176589\pi\) |
−0.966463 | + | 0.256806i | \(0.917330\pi\) | |||||||
\(608\) | −3.18585 | − | 7.38564i | −0.129203 | − | 0.299527i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 8.32144 | − | 4.17919i | 0.336925 | − | 0.169210i | ||||
\(611\) | −3.57829 | − | 20.2935i | −0.144762 | − | 0.820988i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −6.98532 | + | 39.6157i | −0.282134 | + | 1.60006i | 0.433211 | + | 0.901293i | \(0.357381\pi\) |
−0.715345 | + | 0.698771i | \(0.753731\pi\) | |||||||
\(614\) | −1.00884 | − | 3.36977i | −0.0407136 | − | 0.135993i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −5.05397 | − | 2.53820i | −0.203630 | − | 0.102267i | ||||
\(617\) | 5.02262 | − | 16.7767i | 0.202203 | − | 0.675405i | −0.795392 | − | 0.606095i | \(-0.792735\pi\) |
0.997595 | − | 0.0693101i | \(-0.0220798\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 6.13883 | + | 8.24588i | 0.246740 | + | 0.331430i | 0.908189 | − | 0.418561i | \(-0.137465\pi\) |
−0.661448 | + | 0.749991i | \(0.730058\pi\) | |||||||
\(620\) | −22.1517 | − | 38.3680i | −0.889636 | − | 1.54089i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 6.47415 | − | 11.2136i | 0.259590 | − | 0.449623i | ||||
\(623\) | −5.37595 | + | 0.628359i | −0.215383 | + | 0.0251747i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 17.3120 | − | 4.10302i | 0.692481 | − | 0.164121i | ||||
\(626\) | −15.8999 | + | 10.4575i | −0.635488 | + | 0.417967i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 7.47207 | − | 7.91993i | 0.298168 | − | 0.316039i | ||||
\(629\) | 1.39044 | + | 1.16672i | 0.0554405 | + | 0.0465201i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 22.0848 | − | 18.5313i | 0.879182 | − | 0.737721i | −0.0868288 | − | 0.996223i | \(-0.527673\pi\) |
0.966011 | + | 0.258502i | \(0.0832289\pi\) | |||||||
\(632\) | 0.803180 | − | 13.7901i | 0.0319488 | − | 0.548540i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 13.3423 | − | 17.9218i | 0.529890 | − | 0.711765i | ||||
\(635\) | −29.7920 | − | 3.48218i | −1.18226 | − | 0.138186i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 24.9160 | + | 16.3875i | 0.987209 | + | 0.649297i | ||||
\(638\) | 11.8864 | + | 4.32630i | 0.470588 | + | 0.171280i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −20.8658 | + | 7.59452i | −0.824792 | + | 0.300200i | ||||
\(641\) | −27.9023 | − | 6.61297i | −1.10207 | − | 0.261197i | −0.360964 | − | 0.932580i | \(-0.617552\pi\) |
−0.741111 | + | 0.671383i | \(0.765701\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1.12427 | − | 19.3030i | −0.0443369 | − | 0.761235i | −0.945071 | − | 0.326864i | \(-0.894008\pi\) |
0.900734 | − | 0.434370i | \(-0.143029\pi\) | |||||||
\(644\) | −2.26475 | − | 2.40049i | −0.0892437 | − | 0.0945928i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.478866 | − | 1.11014i | 0.0188407 | − | 0.0436778i | ||||
\(647\) | −29.8266 | −1.17261 | −0.586303 | − | 0.810092i | \(-0.699417\pi\) | ||||
−0.586303 | + | 0.810092i | \(0.699417\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.90430 | 0.0747505 | ||||||||
\(650\) | 15.8490 | − | 36.7420i | 0.621648 | − | 1.44114i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −6.23078 | − | 6.60424i | −0.244016 | − | 0.258642i | ||||
\(653\) | 1.44269 | + | 24.7701i | 0.0564569 | + | 0.969328i | 0.900994 | + | 0.433831i | \(0.142838\pi\) |
−0.844537 | + | 0.535497i | \(0.820124\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −4.01460 | − | 0.951478i | −0.156863 | − | 0.0371773i | ||||
\(656\) | −1.93318 | + | 0.703621i | −0.0754781 | + | 0.0274718i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2.78942 | − | 1.01527i | −0.108743 | − | 0.0395792i | ||||
\(659\) | −14.6079 | − | 9.60779i | −0.569044 | − | 0.374266i | 0.232142 | − | 0.972682i | \(-0.425427\pi\) |
−0.801186 | + | 0.598416i | \(0.795797\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −37.3153 | − | 4.36154i | −1.45140 | − | 0.169644i | −0.646435 | − | 0.762969i | \(-0.723741\pi\) |
−0.804963 | + | 0.593324i | \(0.797815\pi\) | |||||||
\(662\) | −3.68294 | + | 4.94704i | −0.143141 | + | 0.192272i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −1.21807 | + | 20.9135i | −0.0472704 | + | 0.811602i | ||||
\(665\) | −3.09967 | + | 2.60094i | −0.120200 | + | 0.100860i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 15.3633 | + | 12.8913i | 0.594870 | + | 0.499155i | ||||
\(668\) | 8.64560 | − | 9.16380i | 0.334508 | − | 0.354558i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 43.4034 | − | 28.5469i | 1.67682 | − | 1.10286i | ||||
\(671\) | 7.00954 | − | 1.66129i | 0.270600 | − | 0.0641334i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 26.3408 | − | 3.07880i | 1.01536 | − | 0.118679i | 0.407900 | − | 0.913027i | \(-0.366261\pi\) |
0.607464 | + | 0.794348i | \(0.292187\pi\) | |||||||
\(674\) | 1.94622 | − | 3.37095i | 0.0749656 | − | 0.129844i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 4.79246 | + | 8.30079i | 0.184326 | + | 0.319261i | ||||
\(677\) | −12.2841 | − | 16.5004i | −0.472116 | − | 0.634162i | 0.500733 | − | 0.865602i | \(-0.333064\pi\) |
−0.972849 | + | 0.231439i | \(0.925656\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.926871 | + | 3.09596i | −0.0355700 | + | 0.118812i | ||||
\(680\) | −8.90065 | − | 4.47007i | −0.341324 | − | 0.171420i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 7.04823 | + | 23.5427i | 0.269891 | + | 0.901498i | ||||
\(683\) | 2.39856 | − | 13.6029i | 0.0917785 | − | 0.520502i | −0.903908 | − | 0.427726i | \(-0.859315\pi\) |
0.995687 | − | 0.0927760i | \(-0.0295741\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.486659 | + | 2.75998i | 0.0185943 | + | 0.105453i | ||||
\(686\) | 7.99089 | − | 4.01317i | 0.305093 | − | 0.153224i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.905319 | − | 2.09877i | −0.0345150 | − | 0.0800147i | ||||
\(689\) | −12.5390 | − | 29.0687i | −0.477699 | − | 1.10743i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −5.67005 | + | 2.84760i | −0.215699 | + | 0.108328i | −0.553368 | − | 0.832937i | \(-0.686658\pi\) |
0.337669 | + | 0.941265i | \(0.390361\pi\) | |||||||
\(692\) | 2.35086 | + | 13.3324i | 0.0893662 | + | 0.506821i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −3.20666 | + | 18.1859i | −0.121723 | + | 0.690326i | ||||
\(695\) | −4.59955 | − | 15.3636i | −0.174471 | − | 0.582774i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 5.30018 | + | 2.66185i | 0.200759 | + | 0.100825i | ||||
\(698\) | −6.03163 | + | 20.1471i | −0.228301 | + | 0.762577i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 4.80054 | + | 6.44824i | 0.181443 | + | 0.243720i | ||||
\(701\) | 11.8662 | + | 20.5529i | 0.448180 | + | 0.776271i | 0.998268 | − | 0.0588360i | \(-0.0187389\pi\) |
−0.550087 | + | 0.835107i | \(0.685406\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.46832 | + | 2.54320i | −0.0553786 | + | 0.0959186i | ||||
\(704\) | 15.1142 | − | 1.76659i | 0.569637 | − | 0.0665810i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 19.2878 | − | 4.57130i | 0.725908 | − | 0.172043i | ||||
\(707\) | −6.63247 | + | 4.36225i | −0.249440 | + | 0.164059i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 0.00970556 | − | 0.0102873i | 0.000364500 | − | 0.000386348i | −0.727191 | − | 0.686435i | \(-0.759175\pi\) |
0.727556 | + | 0.686048i | \(0.240656\pi\) | |||||||
\(710\) | −26.0944 | − | 21.8958i | −0.979307 | − | 0.821736i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 16.5123 | − | 13.8555i | 0.618824 | − | 0.519255i | ||||
\(713\) | −2.26555 | + | 38.8979i | −0.0848454 | + | 1.45674i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 28.2113 | − | 37.8943i | 1.05504 | − | 1.41717i | ||||
\(716\) | 3.15747 | + | 0.369055i | 0.118000 | + | 0.0137922i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 25.3448 | + | 16.6695i | 0.945859 | + | 0.622101i | ||||
\(719\) | 23.2140 | + | 8.44919i | 0.865735 | + | 0.315102i | 0.736439 | − | 0.676504i | \(-0.236506\pi\) |
0.129296 | + | 0.991606i | \(0.458728\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.30651 | − | 1.20347i | 0.123141 | − | 0.0448197i | ||||
\(722\) | −14.9926 | − | 3.55331i | −0.557967 | − | 0.132241i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −1.02481 | − | 17.5953i | −0.0380867 | − | 0.653924i | ||||
\(725\) | −33.5247 | − | 35.5341i | −1.24508 | − | 1.31970i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −16.2048 | + | 37.5669i | −0.601003 | + | 1.39328i | 0.297674 | + | 0.954668i | \(0.403789\pi\) |
−0.898676 | + | 0.438613i | \(0.855470\pi\) | |||||||
\(728\) | 9.67821 | 0.358698 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 55.8329 | 2.06647 | ||||||||
\(731\) | −2.61003 | + | 6.05074i | −0.0965355 | + | 0.223795i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −10.2665 | − | 10.8819i | −0.379203 | − | 0.401932i | 0.509458 | − | 0.860495i | \(-0.329846\pi\) |
−0.888662 | + | 0.458563i | \(0.848364\pi\) | |||||||
\(734\) | 1.10031 | + | 18.8916i | 0.0406133 | + | 0.697303i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 20.8706 | + | 4.94642i | 0.769301 | + | 0.182328i | ||||
\(737\) | 37.7648 | − | 13.7452i | 1.39108 | − | 0.506313i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −12.3654 | − | 4.50063i | −0.454868 | − | 0.165558i | 0.104418 | − | 0.994534i | \(-0.466702\pi\) |
−0.559285 | + | 0.828975i | \(0.688924\pi\) | |||||||
\(740\) | 7.43918 | + | 4.89283i | 0.273470 | + | 0.179864i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −4.52958 | − | 0.529431i | −0.166286 | − | 0.0194360i | ||||
\(743\) | −16.7221 | + | 22.4616i | −0.613473 | + | 0.824037i | −0.994953 | − | 0.100340i | \(-0.968007\pi\) |
0.381481 | + | 0.924377i | \(0.375414\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 2.58445 | − | 44.3733i | 0.0946870 | − | 1.62571i | ||||
\(746\) | −2.82002 | + | 2.36628i | −0.103248 | + | 0.0866355i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −2.17239 | − | 1.82285i | −0.0794305 | − | 0.0666501i | ||||
\(749\) | −1.36266 | + | 1.44433i | −0.0497904 | + | 0.0527747i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 6.38696 | − | 4.20077i | 0.233063 | − | 0.153288i | −0.427606 | − | 0.903965i | \(-0.640643\pi\) |
0.660669 | + | 0.750677i | \(0.270273\pi\) | |||||||
\(752\) | 1.36497 | − | 0.323504i | 0.0497754 | − | 0.0117970i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −21.5001 | + | 2.51300i | −0.782988 | + | 0.0915182i | ||||
\(755\) | −9.12764 | + | 15.8095i | −0.332189 | + | 0.575368i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −16.9101 | − | 29.2892i | −0.614608 | − | 1.06453i | −0.990453 | − | 0.137850i | \(-0.955981\pi\) |
0.375845 | − | 0.926683i | \(-0.377353\pi\) | |||||||
\(758\) | −18.8401 | − | 25.3066i | −0.684302 | − | 0.919177i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 4.62166 | − | 15.4374i | 0.167645 | − | 0.559974i | ||||
\(761\) | −33.1292 | − | 16.6381i | −1.20093 | − | 0.603131i | −0.268083 | − | 0.963396i | \(-0.586390\pi\) |
−0.932850 | + | 0.360265i | \(0.882686\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.708337 | − | 2.36601i | −0.0256435 | − | 0.0856553i | ||||
\(764\) | 0.500564 | − | 2.83884i | 0.0181098 | − | 0.102706i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 2.26306 | + | 12.8344i | 0.0817675 | + | 0.463727i | ||||
\(767\) | −2.91217 | + | 1.46255i | −0.105152 | + | 0.0528096i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 18.4305 | + | 42.7267i | 0.664622 | + | 1.54077i | 0.831942 | + | 0.554863i | \(0.187229\pi\) |
−0.167320 | + | 0.985903i | \(0.553511\pi\) | |||||||
\(770\) | −2.69549 | − | 6.24886i | −0.0971389 | − | 0.225193i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 4.12829 | − | 2.07331i | 0.148580 | − | 0.0746199i | ||||
\(773\) | −7.40534 | − | 41.9978i | −0.266352 | − | 1.51056i | −0.765158 | − | 0.643842i | \(-0.777339\pi\) |
0.498807 | − | 0.866713i | \(-0.333772\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 16.4812 | − | 93.4695i | 0.592022 | − | 3.35752i | ||||
\(776\) | −3.69123 | − | 12.3296i | −0.132507 | − | 0.442605i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −16.9689 | − | 8.52210i | −0.608364 | − | 0.305532i | ||||
\(779\) | −2.75212 | + | 9.19270i | −0.0986048 | + | 0.329363i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −15.7362 | − | 21.1374i | −0.563086 | − | 0.756356i | ||||
\(782\) | 1.61198 | + | 2.79204i | 0.0576445 | + | 0.0998431i | ||||
\(783\) | 0 |