Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(13,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 15, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.v (of order \(32\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 325.12 | ||
Character | \(\chi\) | \(=\) | 384.325 |
Dual form | 384.2.v.a.13.12 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{17}{32}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.607361 | − | 1.27715i | −0.429469 | − | 0.903082i | ||||
\(3\) | −0.290285 | + | 0.956940i | −0.167596 | + | 0.552490i | ||||
\(4\) | −1.26223 | + | 1.55138i | −0.631113 | + | 0.775691i | ||||
\(5\) | 0.269039 | − | 2.73160i | 0.120318 | − | 1.22161i | −0.725533 | − | 0.688187i | \(-0.758407\pi\) |
0.845851 | − | 0.533420i | \(-0.179093\pi\) | |||||||
\(6\) | 1.39846 | − | 0.210471i | 0.570921 | − | 0.0859244i | ||||
\(7\) | 0.857384 | + | 1.28317i | 0.324061 | + | 0.484991i | 0.957353 | − | 0.288922i | \(-0.0932968\pi\) |
−0.633292 | + | 0.773913i | \(0.718297\pi\) | |||||||
\(8\) | 2.74797 | + | 0.669804i | 0.971556 | + | 0.236811i | ||||
\(9\) | −0.831470 | − | 0.555570i | −0.277157 | − | 0.185190i | ||||
\(10\) | −3.65206 | + | 1.31546i | −1.15488 | + | 0.415985i | ||||
\(11\) | −5.50570 | − | 2.94286i | −1.66003 | − | 0.887305i | −0.989350 | − | 0.145559i | \(-0.953502\pi\) |
−0.670681 | − | 0.741746i | \(-0.733998\pi\) | |||||||
\(12\) | −1.11818 | − | 1.65822i | −0.322789 | − | 0.478686i | ||||
\(13\) | 5.53992 | − | 0.545635i | 1.53650 | − | 0.151332i | 0.705943 | − | 0.708268i | \(-0.250523\pi\) |
0.830555 | + | 0.556937i | \(0.188023\pi\) | |||||||
\(14\) | 1.11805 | − | 1.87435i | 0.298812 | − | 0.500942i | ||||
\(15\) | 2.53588 | + | 1.05039i | 0.654761 | + | 0.271211i | ||||
\(16\) | −0.813572 | − | 3.91639i | −0.203393 | − | 0.979097i | ||||
\(17\) | 3.96432 | − | 1.64207i | 0.961489 | − | 0.398262i | 0.153952 | − | 0.988078i | \(-0.450800\pi\) |
0.807537 | + | 0.589817i | \(0.200800\pi\) | |||||||
\(18\) | −0.204545 | + | 1.39934i | −0.0482116 | + | 0.329828i | ||||
\(19\) | −2.47517 | − | 2.03132i | −0.567844 | − | 0.466017i | 0.306130 | − | 0.951990i | \(-0.400966\pi\) |
−0.873974 | + | 0.485972i | \(0.838466\pi\) | |||||||
\(20\) | 3.89816 | + | 3.86527i | 0.871655 | + | 0.864301i | ||||
\(21\) | −1.47680 | + | 0.447982i | −0.322264 | + | 0.0977576i | ||||
\(22\) | −0.414526 | + | 8.81898i | −0.0883772 | + | 1.88021i | ||||
\(23\) | −1.24331 | − | 6.25056i | −0.259249 | − | 1.30333i | −0.862612 | − | 0.505865i | \(-0.831173\pi\) |
0.603364 | − | 0.797466i | \(-0.293827\pi\) | |||||||
\(24\) | −1.43866 | + | 2.43521i | −0.293665 | + | 0.497086i | ||||
\(25\) | −2.48531 | − | 0.494359i | −0.497062 | − | 0.0988718i | ||||
\(26\) | −4.06159 | − | 6.74392i | −0.796543 | − | 1.32259i | ||||
\(27\) | 0.773010 | − | 0.634393i | 0.148766 | − | 0.122089i | ||||
\(28\) | −3.07289 | − | 0.289515i | −0.580722 | − | 0.0547132i | ||||
\(29\) | −1.87108 | − | 3.50055i | −0.347451 | − | 0.650035i | 0.646121 | − | 0.763235i | \(-0.276390\pi\) |
−0.993572 | + | 0.113200i | \(0.963890\pi\) | |||||||
\(30\) | −0.198680 | − | 3.87666i | −0.0362739 | − | 0.707779i | ||||
\(31\) | −1.60293 | − | 1.60293i | −0.287895 | − | 0.287895i | 0.548353 | − | 0.836247i | \(-0.315255\pi\) |
−0.836247 | + | 0.548353i | \(0.815255\pi\) | |||||||
\(32\) | −4.50769 | + | 3.41771i | −0.796854 | + | 0.604172i | ||||
\(33\) | 4.41436 | − | 4.41436i | 0.768441 | − | 0.768441i | ||||
\(34\) | −4.50495 | − | 4.06570i | −0.772592 | − | 0.697262i | ||||
\(35\) | 3.73576 | − | 1.99680i | 0.631458 | − | 0.337522i | ||||
\(36\) | 1.91140 | − | 0.588672i | 0.318567 | − | 0.0981120i | ||||
\(37\) | −3.90148 | − | 4.75396i | −0.641399 | − | 0.781547i | 0.346265 | − | 0.938137i | \(-0.387450\pi\) |
−0.987664 | + | 0.156590i | \(0.949950\pi\) | |||||||
\(38\) | −1.09098 | + | 4.39491i | −0.176980 | + | 0.712949i | ||||
\(39\) | −1.08601 | + | 5.45977i | −0.173902 | + | 0.874262i | ||||
\(40\) | 2.56894 | − | 7.32615i | 0.406186 | − | 1.15837i | ||||
\(41\) | 1.19260 | − | 0.237222i | 0.186252 | − | 0.0370479i | −0.101083 | − | 0.994878i | \(-0.532231\pi\) |
0.287335 | + | 0.957830i | \(0.407231\pi\) | |||||||
\(42\) | 1.46909 | + | 1.61401i | 0.226685 | + | 0.249047i | ||||
\(43\) | −1.18922 | − | 3.92032i | −0.181354 | − | 0.597844i | −0.999732 | − | 0.0231631i | \(-0.992626\pi\) |
0.818378 | − | 0.574681i | \(-0.194874\pi\) | |||||||
\(44\) | 11.5149 | − | 4.82689i | 1.73594 | − | 0.727681i | ||||
\(45\) | −1.74129 | + | 2.12177i | −0.259576 | + | 0.316295i | ||||
\(46\) | −7.22776 | + | 5.38424i | −1.06568 | + | 0.793863i | ||||
\(47\) | 4.43305 | + | 10.7023i | 0.646627 | + | 1.56110i | 0.817579 | + | 0.575817i | \(0.195316\pi\) |
−0.170951 | + | 0.985279i | \(0.554684\pi\) | |||||||
\(48\) | 3.98392 | + | 0.358328i | 0.575029 | + | 0.0517202i | ||||
\(49\) | 1.76738 | − | 4.26683i | 0.252483 | − | 0.609547i | ||||
\(50\) | 0.878109 | + | 3.47437i | 0.124183 | + | 0.491350i | ||||
\(51\) | 0.420586 | + | 4.27029i | 0.0588939 | + | 0.597960i | ||||
\(52\) | −6.14615 | + | 9.28325i | −0.852317 | + | 1.28736i | ||||
\(53\) | −3.21836 | + | 6.02112i | −0.442075 | + | 0.827065i | −0.999996 | − | 0.00282966i | \(-0.999099\pi\) |
0.557921 | + | 0.829894i | \(0.311599\pi\) | |||||||
\(54\) | −1.27971 | − | 0.601945i | −0.174147 | − | 0.0819143i | ||||
\(55\) | −9.51994 | + | 14.2476i | −1.28367 | + | 1.92115i | ||||
\(56\) | 1.49660 | + | 4.10038i | 0.199992 | + | 0.547937i | ||||
\(57\) | 2.66236 | − | 1.77893i | 0.352638 | − | 0.235625i | ||||
\(58\) | −3.33430 | + | 4.51575i | −0.437816 | + | 0.592947i | ||||
\(59\) | 12.4050 | + | 1.22179i | 1.61500 | + | 0.159063i | 0.864788 | − | 0.502137i | \(-0.167453\pi\) |
0.750209 | + | 0.661201i | \(0.229953\pi\) | |||||||
\(60\) | −4.83041 | + | 2.60828i | −0.623604 | + | 0.336727i | ||||
\(61\) | 0.672244 | + | 0.203923i | 0.0860720 | + | 0.0261097i | 0.333027 | − | 0.942917i | \(-0.391930\pi\) |
−0.246955 | + | 0.969027i | \(0.579430\pi\) | |||||||
\(62\) | −1.07363 | + | 3.02074i | −0.136351 | + | 0.383634i | ||||
\(63\) | − | 1.54325i | − | 0.194431i | ||||||
\(64\) | 7.10273 | + | 3.68121i | 0.887841 | + | 0.460151i | ||||
\(65\) | − | 15.2796i | − | 1.89520i | ||||||
\(66\) | −8.31891 | − | 2.95669i | −1.02399 | − | 0.363944i | ||||
\(67\) | 5.38202 | + | 1.63262i | 0.657519 | + | 0.199456i | 0.601375 | − | 0.798967i | \(-0.294620\pi\) |
0.0561434 | + | 0.998423i | \(0.482120\pi\) | |||||||
\(68\) | −2.45638 | + | 8.22284i | −0.297880 | + | 0.997166i | ||||
\(69\) | 6.34233 | + | 0.624665i | 0.763526 | + | 0.0752008i | ||||
\(70\) | −4.81917 | − | 3.55834i | −0.576001 | − | 0.425304i | ||||
\(71\) | −4.06093 | + | 2.71343i | −0.481944 | + | 0.322025i | −0.772699 | − | 0.634773i | \(-0.781094\pi\) |
0.290755 | + | 0.956798i | \(0.406094\pi\) | |||||||
\(72\) | −1.91273 | − | 2.08361i | −0.225418 | − | 0.245556i | ||||
\(73\) | −3.68754 | + | 5.51879i | −0.431593 | + | 0.645925i | −0.981980 | − | 0.188985i | \(-0.939480\pi\) |
0.550387 | + | 0.834910i | \(0.314480\pi\) | |||||||
\(74\) | −3.70192 | + | 7.87014i | −0.430340 | + | 0.914885i | ||||
\(75\) | 1.19452 | − | 2.23479i | 0.137931 | − | 0.258051i | ||||
\(76\) | 6.27559 | − | 1.27595i | 0.719859 | − | 0.146362i | ||||
\(77\) | −0.944324 | − | 9.58788i | −0.107616 | − | 1.09264i | ||||
\(78\) | 7.63254 | − | 1.92904i | 0.864215 | − | 0.218421i | ||||
\(79\) | −1.22482 | + | 2.95698i | −0.137803 | + | 0.332687i | −0.977683 | − | 0.210086i | \(-0.932626\pi\) |
0.839880 | + | 0.542773i | \(0.182626\pi\) | |||||||
\(80\) | −10.9169 | + | 1.16869i | −1.22054 | + | 0.130663i | ||||
\(81\) | 0.382683 | + | 0.923880i | 0.0425204 | + | 0.102653i | ||||
\(82\) | −1.02731 | − | 1.37905i | −0.113447 | − | 0.152290i | ||||
\(83\) | 7.62729 | − | 9.29388i | 0.837204 | − | 1.02014i | −0.162239 | − | 0.986751i | \(-0.551872\pi\) |
0.999443 | − | 0.0333841i | \(-0.0106285\pi\) | |||||||
\(84\) | 1.16906 | − | 2.85653i | 0.127555 | − | 0.311673i | ||||
\(85\) | −3.41893 | − | 11.2707i | −0.370835 | − | 1.22248i | ||||
\(86\) | −4.28456 | + | 3.89986i | −0.462016 | + | 0.420533i | ||||
\(87\) | 3.89296 | − | 0.774358i | 0.417369 | − | 0.0830199i | ||||
\(88\) | −13.1584 | − | 11.7746i | −1.40269 | − | 1.25518i | ||||
\(89\) | −1.91480 | + | 9.62637i | −0.202969 | + | 1.02039i | 0.736154 | + | 0.676814i | \(0.236640\pi\) |
−0.939123 | + | 0.343580i | \(0.888360\pi\) | |||||||
\(90\) | 3.76741 | + | 0.935211i | 0.397120 | + | 0.0985799i | ||||
\(91\) | 5.44998 | + | 6.64082i | 0.571313 | + | 0.696147i | ||||
\(92\) | 11.2663 | + | 5.96076i | 1.17460 | + | 0.621452i | ||||
\(93\) | 1.99921 | − | 1.06860i | 0.207309 | − | 0.110809i | ||||
\(94\) | 10.9760 | − | 12.1619i | 1.13209 | − | 1.25440i | ||||
\(95\) | −6.21467 | + | 6.21467i | −0.637612 | + | 0.637612i | ||||
\(96\) | −1.96204 | − | 5.30570i | −0.200250 | − | 0.541510i | ||||
\(97\) | 9.90497 | + | 9.90497i | 1.00570 | + | 1.00570i | 0.999984 | + | 0.00571375i | \(0.00181875\pi\) |
0.00571375 | + | 0.999984i | \(0.498181\pi\) | |||||||
\(98\) | −6.52282 | + | 0.334296i | −0.658904 | + | 0.0337690i | ||||
\(99\) | 2.94286 | + | 5.50570i | 0.295768 | + | 0.553343i | ||||
\(100\) | 3.90396 | − | 3.23167i | 0.390396 | − | 0.323167i | ||||
\(101\) | −9.24655 | + | 7.58845i | −0.920066 | + | 0.755079i | −0.969855 | − | 0.243681i | \(-0.921645\pi\) |
0.0497894 | + | 0.998760i | \(0.484145\pi\) | |||||||
\(102\) | 5.19835 | − | 3.13076i | 0.514713 | − | 0.309991i | ||||
\(103\) | 13.4671 | + | 2.67878i | 1.32696 | + | 0.263948i | 0.807155 | − | 0.590339i | \(-0.201006\pi\) |
0.519801 | + | 0.854287i | \(0.326006\pi\) | |||||||
\(104\) | 15.5890 | + | 2.21127i | 1.52863 | + | 0.216833i | ||||
\(105\) | 0.826389 | + | 4.15454i | 0.0806473 | + | 0.405442i | ||||
\(106\) | 9.64458 | + | 0.453332i | 0.936764 | + | 0.0440315i | ||||
\(107\) | 4.55882 | − | 1.38290i | 0.440718 | − | 0.133690i | −0.0621245 | − | 0.998068i | \(-0.519788\pi\) |
0.502842 | + | 0.864378i | \(0.332288\pi\) | |||||||
\(108\) | 0.00847249 | + | 1.99998i | 0.000815266 | + | 0.192448i | ||||
\(109\) | 6.05675 | + | 4.97065i | 0.580132 | + | 0.476102i | 0.878102 | − | 0.478473i | \(-0.158810\pi\) |
−0.297970 | + | 0.954575i | \(0.596310\pi\) | |||||||
\(110\) | 23.9784 | + | 3.50496i | 2.28625 | + | 0.334185i | ||||
\(111\) | 5.68180 | − | 2.35348i | 0.539292 | − | 0.223382i | ||||
\(112\) | 4.32783 | − | 4.40179i | 0.408942 | − | 0.415931i | ||||
\(113\) | −8.46081 | − | 3.50458i | −0.795926 | − | 0.329683i | −0.0526024 | − | 0.998616i | \(-0.516752\pi\) |
−0.743323 | + | 0.668932i | \(0.766752\pi\) | |||||||
\(114\) | −3.88898 | − | 2.31978i | −0.364236 | − | 0.217267i | ||||
\(115\) | −17.4085 | + | 1.71459i | −1.62335 | + | 0.159886i | ||||
\(116\) | 7.79241 | + | 1.51572i | 0.723507 | + | 0.140731i | ||||
\(117\) | −4.90942 | − | 2.62414i | −0.453876 | − | 0.242602i | ||||
\(118\) | −5.97392 | − | 16.5851i | −0.549944 | − | 1.52679i | ||||
\(119\) | 5.50600 | + | 3.67899i | 0.504734 | + | 0.337252i | ||||
\(120\) | 6.26497 | + | 4.58500i | 0.571911 | + | 0.418551i | ||||
\(121\) | 15.5410 | + | 23.2588i | 1.41282 | + | 2.11444i | ||||
\(122\) | −0.147854 | − | 0.982412i | −0.0133861 | − | 0.0889434i | ||||
\(123\) | −0.119185 | + | 1.21011i | −0.0107466 | + | 0.109112i | ||||
\(124\) | 4.51001 | − | 0.463497i | 0.405011 | − | 0.0416232i | ||||
\(125\) | 1.96485 | − | 6.47725i | 0.175742 | − | 0.579343i | ||||
\(126\) | −1.97096 | + | 0.937309i | −0.175587 | + | 0.0835022i | ||||
\(127\) | −11.9689 | −1.06207 | −0.531033 | − | 0.847351i | \(-0.678196\pi\) | ||||
−0.531033 | + | 0.847351i | \(0.678196\pi\) | |||||||
\(128\) | 0.387537 | − | 11.3071i | 0.0342538 | − | 0.999413i | ||||
\(129\) | 4.09673 | 0.360697 | ||||||||
\(130\) | −19.5144 | + | 9.28025i | −1.71152 | + | 0.813932i | ||||
\(131\) | 0.236543 | − | 0.779777i | 0.0206668 | − | 0.0681294i | −0.946000 | − | 0.324165i | \(-0.894917\pi\) |
0.966667 | + | 0.256036i | \(0.0824166\pi\) | |||||||
\(132\) | 1.27644 | + | 12.4203i | 0.111100 | + | 1.08105i | ||||
\(133\) | 0.484349 | − | 4.91768i | 0.0419984 | − | 0.426417i | ||||
\(134\) | −1.18373 | − | 7.86524i | −0.102259 | − | 0.679453i | ||||
\(135\) | −1.52494 | − | 2.28223i | −0.131246 | − | 0.196423i | ||||
\(136\) | 11.9937 | − | 1.85706i | 1.02845 | − | 0.159242i | ||||
\(137\) | −12.7032 | − | 8.48804i | −1.08531 | − | 0.725182i | −0.121721 | − | 0.992564i | \(-0.538841\pi\) |
−0.963591 | + | 0.267382i | \(0.913841\pi\) | |||||||
\(138\) | −3.05429 | − | 8.47950i | −0.259998 | − | 0.721823i | ||||
\(139\) | −16.8642 | − | 9.01408i | −1.43040 | − | 0.764565i | −0.439383 | − | 0.898300i | \(-0.644803\pi\) |
−0.991017 | + | 0.133735i | \(0.957303\pi\) | |||||||
\(140\) | −1.61756 | + | 8.31601i | −0.136709 | + | 0.702831i | ||||
\(141\) | −11.5283 | + | 1.13544i | −0.970862 | + | 0.0956216i | ||||
\(142\) | 5.93191 | + | 3.53839i | 0.497795 | + | 0.296935i | ||||
\(143\) | −32.1069 | − | 13.2991i | −2.68491 | − | 1.11213i | ||||
\(144\) | −1.49937 | + | 3.70835i | −0.124947 | + | 0.309030i | ||||
\(145\) | −10.0655 | + | 4.16926i | −0.835892 | + | 0.346238i | ||||
\(146\) | 9.28799 | + | 1.35764i | 0.768679 | + | 0.112359i | ||||
\(147\) | 3.57006 | + | 2.92987i | 0.294453 | + | 0.241652i | ||||
\(148\) | 12.2998 | − | 0.0521052i | 1.01103 | − | 0.00428302i | ||||
\(149\) | 13.2330 | − | 4.01419i | 1.08409 | − | 0.328855i | 0.302820 | − | 0.953048i | \(-0.402072\pi\) |
0.781271 | + | 0.624192i | \(0.214572\pi\) | |||||||
\(150\) | −3.57966 | − | 0.168258i | −0.292278 | − | 0.0137382i | ||||
\(151\) | 0.115979 | + | 0.583066i | 0.00943823 | + | 0.0474492i | 0.985217 | − | 0.171309i | \(-0.0547995\pi\) |
−0.975779 | + | 0.218758i | \(0.929800\pi\) | |||||||
\(152\) | −5.44113 | − | 7.23990i | −0.441334 | − | 0.587234i | ||||
\(153\) | −4.20850 | − | 0.837123i | −0.340237 | − | 0.0676773i | ||||
\(154\) | −11.6716 | + | 7.02934i | −0.940526 | + | 0.566441i | ||||
\(155\) | −4.80981 | + | 3.94731i | −0.386333 | + | 0.317055i | ||||
\(156\) | −7.09939 | − | 8.57628i | −0.568406 | − | 0.686652i | ||||
\(157\) | 0.447846 | + | 0.837861i | 0.0357420 | + | 0.0668686i | 0.899158 | − | 0.437624i | \(-0.144180\pi\) |
−0.863416 | + | 0.504492i | \(0.831680\pi\) | |||||||
\(158\) | 4.52042 | − | 0.231673i | 0.359626 | − | 0.0184309i | ||||
\(159\) | −4.82761 | − | 4.82761i | −0.382855 | − | 0.382855i | ||||
\(160\) | 8.12307 | + | 13.2327i | 0.642185 | + | 1.04613i | ||||
\(161\) | 6.95450 | − | 6.95450i | 0.548092 | − | 0.548092i | ||||
\(162\) | 0.947506 | − | 1.04987i | 0.0744431 | − | 0.0824858i | ||||
\(163\) | 7.25991 | − | 3.88051i | 0.568640 | − | 0.303945i | −0.161908 | − | 0.986806i | \(-0.551765\pi\) |
0.730548 | + | 0.682861i | \(0.239265\pi\) | |||||||
\(164\) | −1.13731 | + | 2.14960i | −0.0888086 | + | 0.167856i | ||||
\(165\) | −10.8706 | − | 13.2459i | −0.846276 | − | 1.03119i | ||||
\(166\) | −16.5022 | − | 4.09646i | −1.28082 | − | 0.317947i | ||||
\(167\) | −1.72564 | + | 8.67536i | −0.133534 | + | 0.671319i | 0.854793 | + | 0.518969i | \(0.173684\pi\) |
−0.988327 | + | 0.152350i | \(0.951316\pi\) | |||||||
\(168\) | −4.35826 | + | 0.241878i | −0.336247 | + | 0.0186613i | ||||
\(169\) | 17.6428 | − | 3.50938i | 1.35714 | − | 0.269952i | ||||
\(170\) | −12.3179 | + | 11.2119i | −0.944736 | + | 0.859911i | ||||
\(171\) | 0.929489 | + | 3.06412i | 0.0710798 | + | 0.234319i | ||||
\(172\) | 7.58298 | + | 3.10340i | 0.578197 | + | 0.236632i | ||||
\(173\) | −8.65546 | + | 10.5467i | −0.658063 | + | 0.801852i | −0.989943 | − | 0.141470i | \(-0.954817\pi\) |
0.331880 | + | 0.943322i | \(0.392317\pi\) | |||||||
\(174\) | −3.35340 | − | 4.50158i | −0.254221 | − | 0.341264i | ||||
\(175\) | −1.49652 | − | 3.61292i | −0.113126 | − | 0.273111i | ||||
\(176\) | −7.04609 | + | 23.9567i | −0.531119 | + | 1.80580i | ||||
\(177\) | −4.77017 | + | 11.5162i | −0.358548 | + | 0.865611i | ||||
\(178\) | 13.4573 | − | 3.40119i | 1.00867 | − | 0.254930i | ||||
\(179\) | 0.332475 | + | 3.37568i | 0.0248504 | + | 0.252310i | 0.999581 | + | 0.0289286i | \(0.00920955\pi\) |
−0.974731 | + | 0.223381i | \(0.928290\pi\) | |||||||
\(180\) | −1.09377 | − | 5.37956i | −0.0815249 | − | 0.400969i | ||||
\(181\) | −0.00348186 | + | 0.00651409i | −0.000258804 | + | 0.000484189i | −0.882051 | − | 0.471155i | \(-0.843837\pi\) |
0.881792 | + | 0.471639i | \(0.156337\pi\) | |||||||
\(182\) | 5.17122 | − | 10.9938i | 0.383316 | − | 0.814916i | ||||
\(183\) | −0.390284 | + | 0.584102i | −0.0288506 | + | 0.0431780i | ||||
\(184\) | 0.770054 | − | 18.0092i | 0.0567691 | − | 1.32765i | ||||
\(185\) | −14.0356 | + | 9.37826i | −1.03191 | + | 0.689503i | ||||
\(186\) | −2.57901 | − | 1.90427i | −0.189102 | − | 0.139628i | ||||
\(187\) | −26.6587 | − | 2.62566i | −1.94948 | − | 0.192007i | ||||
\(188\) | −22.1989 | − | 6.63141i | −1.61902 | − | 0.483645i | ||||
\(189\) | 1.47680 | + | 0.447982i | 0.107421 | + | 0.0325859i | ||||
\(190\) | 11.7116 | + | 4.16252i | 0.849650 | + | 0.301981i | ||||
\(191\) | 21.9685i | 1.58959i | 0.606880 | + | 0.794794i | \(0.292421\pi\) | ||||
−0.606880 | + | 0.794794i | \(0.707579\pi\) | |||||||
\(192\) | −5.58451 | + | 5.72829i | −0.403027 | + | 0.413404i | ||||
\(193\) | − | 13.9813i | − | 1.00640i | −0.864170 | − | 0.503199i | \(-0.832156\pi\) | ||
0.864170 | − | 0.503199i | \(-0.167844\pi\) | |||||||
\(194\) | 6.63425 | − | 18.6660i | 0.476311 | − | 1.34014i | ||||
\(195\) | 14.6217 | + | 4.43544i | 1.04708 | + | 0.317629i | ||||
\(196\) | 4.38865 | + | 8.12758i | 0.313475 | + | 0.580541i | ||||
\(197\) | −21.2024 | − | 2.08825i | −1.51061 | − | 0.148782i | −0.691480 | − | 0.722396i | \(-0.743041\pi\) |
−0.819126 | + | 0.573614i | \(0.805541\pi\) | |||||||
\(198\) | 5.24423 | − | 7.10242i | 0.372691 | − | 0.504747i | ||||
\(199\) | 18.1744 | − | 12.1437i | 1.28835 | − | 0.860846i | 0.292899 | − | 0.956144i | \(-0.405380\pi\) |
0.995449 | + | 0.0952974i | \(0.0303802\pi\) | |||||||
\(200\) | −6.49844 | − | 3.02315i | −0.459509 | − | 0.213769i | ||||
\(201\) | −3.12464 | + | 4.67635i | −0.220395 | + | 0.329844i | ||||
\(202\) | 15.3076 | + | 7.20031i | 1.07704 | + | 0.506612i | ||||
\(203\) | 2.88755 | − | 5.40222i | 0.202666 | − | 0.379161i | ||||
\(204\) | −7.15572 | − | 4.73758i | −0.501001 | − | 0.331697i | ||||
\(205\) | −0.327141 | − | 3.32152i | −0.0228485 | − | 0.231985i | ||||
\(206\) | −4.75820 | − | 18.8265i | −0.331520 | − | 1.31171i | ||||
\(207\) | −2.43885 | + | 5.88790i | −0.169512 | + | 0.409237i | ||||
\(208\) | −6.64404 | − | 21.2526i | −0.460682 | − | 1.47360i | ||||
\(209\) | 7.64967 | + | 18.4679i | 0.529139 | + | 1.27745i | ||||
\(210\) | 4.80406 | − | 3.57873i | 0.331511 | − | 0.246956i | ||||
\(211\) | −3.34818 | + | 4.07977i | −0.230499 | + | 0.280863i | −0.875397 | − | 0.483405i | \(-0.839400\pi\) |
0.644898 | + | 0.764269i | \(0.276900\pi\) | |||||||
\(212\) | −5.27877 | − | 12.5929i | −0.362547 | − | 0.864885i | ||||
\(213\) | −1.41776 | − | 4.67374i | −0.0971435 | − | 0.320239i | ||||
\(214\) | −4.53503 | − | 4.98238i | −0.310008 | − | 0.340589i | ||||
\(215\) | −11.0287 | + | 2.19374i | −0.752150 | + | 0.149612i | ||||
\(216\) | 2.54913 | − | 1.22553i | 0.173446 | − | 0.0833868i | ||||
\(217\) | 0.682498 | − | 3.43115i | 0.0463310 | − | 0.232922i | ||||
\(218\) | 2.66963 | − | 10.7544i | 0.180810 | − | 0.728377i | ||||
\(219\) | −4.21072 | − | 5.13077i | −0.284534 | − | 0.346705i | ||||
\(220\) | −10.0872 | − | 32.7528i | −0.680076 | − | 2.20819i | ||||
\(221\) | 21.0661 | − | 11.2600i | 1.41706 | − | 0.757432i | ||||
\(222\) | −6.45664 | − | 5.82710i | −0.433342 | − | 0.391089i | ||||
\(223\) | 0.728363 | − | 0.728363i | 0.0487748 | − | 0.0487748i | −0.682299 | − | 0.731074i | \(-0.739020\pi\) |
0.731074 | + | 0.682299i | \(0.239020\pi\) | |||||||
\(224\) | −8.25031 | − | 2.85381i | −0.551247 | − | 0.190678i | ||||
\(225\) | 1.79181 | + | 1.79181i | 0.119454 | + | 0.119454i | ||||
\(226\) | 0.662885 | + | 12.9343i | 0.0440945 | + | 0.860375i | ||||
\(227\) | 9.58574 | + | 17.9337i | 0.636228 | + | 1.19030i | 0.968946 | + | 0.247272i | \(0.0795343\pi\) |
−0.332718 | + | 0.943026i | \(0.607966\pi\) | |||||||
\(228\) | −0.600697 | + | 6.37575i | −0.0397821 | + | 0.422244i | ||||
\(229\) | −5.74268 | + | 4.71289i | −0.379487 | + | 0.311437i | −0.804728 | − | 0.593643i | \(-0.797689\pi\) |
0.425242 | + | 0.905080i | \(0.360189\pi\) | |||||||
\(230\) | 12.7630 | + | 21.1919i | 0.841569 | + | 1.39735i | ||||
\(231\) | 9.44915 | + | 1.87955i | 0.621708 | + | 0.123665i | ||||
\(232\) | −2.79700 | − | 10.8727i | −0.183632 | − | 0.713826i | ||||
\(233\) | −4.70844 | − | 23.6709i | −0.308460 | − | 1.55073i | −0.754852 | − | 0.655895i | \(-0.772291\pi\) |
0.446392 | − | 0.894837i | \(-0.352709\pi\) | |||||||
\(234\) | −0.369632 | + | 7.86386i | −0.0241636 | + | 0.514077i | ||||
\(235\) | 30.4271 | − | 9.22997i | 1.98485 | − | 0.602097i | ||||
\(236\) | −17.5534 | + | 17.7028i | −1.14263 | + | 1.15235i | ||||
\(237\) | −2.47411 | − | 2.03045i | −0.160711 | − | 0.131892i | ||||
\(238\) | 1.35450 | − | 9.26646i | 0.0877989 | − | 0.600655i | ||||
\(239\) | −5.62642 | + | 2.33054i | −0.363943 | + | 0.150750i | −0.557158 | − | 0.830406i | \(-0.688108\pi\) |
0.193216 | + | 0.981156i | \(0.438108\pi\) | |||||||
\(240\) | 2.05064 | − | 10.7861i | 0.132368 | − | 0.696237i | ||||
\(241\) | 18.6884 | + | 7.74098i | 1.20382 | + | 0.498640i | 0.892233 | − | 0.451576i | \(-0.149138\pi\) |
0.311592 | + | 0.950216i | \(0.399138\pi\) | |||||||
\(242\) | 20.2660 | − | 33.9747i | 1.30275 | − | 2.18398i | ||||
\(243\) | −0.995185 | + | 0.0980171i | −0.0638411 | + | 0.00628780i | ||||
\(244\) | −1.16489 | + | 0.785510i | −0.0745742 | + | 0.0502871i | ||||
\(245\) | −11.1798 | − | 5.97570i | −0.714248 | − | 0.381774i | ||||
\(246\) | 1.61788 | − | 0.582754i | 0.103152 | − | 0.0371550i | ||||
\(247\) | −14.8206 | − | 9.90283i | −0.943014 | − | 0.630102i | ||||
\(248\) | −3.33116 | − | 5.47846i | −0.211529 | − | 0.347882i | ||||
\(249\) | 6.67960 | + | 9.99673i | 0.423303 | + | 0.633517i | ||||
\(250\) | −9.46580 | + | 1.42462i | −0.598670 | + | 0.0901006i | ||||
\(251\) | 2.34554 | − | 23.8146i | 0.148049 | − | 1.50317i | −0.578291 | − | 0.815831i | \(-0.696280\pi\) |
0.726340 | − | 0.687336i | \(-0.241220\pi\) | |||||||
\(252\) | 2.39417 | + | 1.94793i | 0.150819 | + | 0.122708i | ||||
\(253\) | −11.5492 | + | 38.0726i | −0.726091 | + | 2.39360i | ||||
\(254\) | 7.26942 | + | 15.2860i | 0.456124 | + | 0.959132i | ||||
\(255\) | 11.7779 | 0.737558 | ||||||||
\(256\) | −14.6762 | + | 6.37253i | −0.917263 | + | 0.398283i | ||||
\(257\) | 27.0192 | 1.68541 | 0.842707 | − | 0.538373i | \(-0.180961\pi\) | ||||
0.842707 | + | 0.538373i | \(0.180961\pi\) | |||||||
\(258\) | −2.48819 | − | 5.23214i | −0.154908 | − | 0.325739i | ||||
\(259\) | 2.75506 | − | 9.08221i | 0.171191 | − | 0.564341i | ||||
\(260\) | 23.7045 | + | 19.2863i | 1.47009 | + | 1.19609i | ||||
\(261\) | −0.389052 | + | 3.95012i | −0.0240817 | + | 0.244506i | ||||
\(262\) | −1.13956 | + | 0.171505i | −0.0704022 | + | 0.0105956i | ||||
\(263\) | 3.53885 | + | 5.29626i | 0.218215 | + | 0.326581i | 0.924385 | − | 0.381461i | \(-0.124579\pi\) |
−0.706170 | + | 0.708042i | \(0.749579\pi\) | |||||||
\(264\) | 15.0873 | − | 9.17379i | 0.928559 | − | 0.564608i | ||||
\(265\) | 15.5814 | + | 10.4112i | 0.957158 | + | 0.639553i | ||||
\(266\) | −6.57479 | + | 2.36822i | −0.403126 | + | 0.145205i | ||||
\(267\) | −8.65603 | − | 4.62674i | −0.529740 | − | 0.283152i | ||||
\(268\) | −9.32615 | + | 6.28884i | −0.569685 | + | 0.384152i | ||||
\(269\) | −18.2010 | + | 1.79264i | −1.10973 | + | 0.109299i | −0.636235 | − | 0.771495i | \(-0.719509\pi\) |
−0.473499 | + | 0.880795i | \(0.657009\pi\) | |||||||
\(270\) | −1.98856 | + | 3.33371i | −0.121020 | + | 0.202883i | ||||
\(271\) | 1.89028 | + | 0.782978i | 0.114826 | + | 0.0475625i | 0.439357 | − | 0.898313i | \(-0.355206\pi\) |
−0.324531 | + | 0.945875i | \(0.605206\pi\) | |||||||
\(272\) | −9.65626 | − | 14.1899i | −0.585497 | − | 0.860387i | ||||
\(273\) | −7.93691 | + | 3.28758i | −0.480364 | + | 0.198973i | ||||
\(274\) | −3.12505 | + | 21.3793i | −0.188791 | + | 1.29157i | ||||
\(275\) | 12.2285 | + | 10.0357i | 0.737408 | + | 0.605175i | ||||
\(276\) | −8.97454 | + | 9.05090i | −0.540204 | + | 0.544800i | ||||
\(277\) | 4.36127 | − | 1.32298i | 0.262043 | − | 0.0794900i | −0.156529 | − | 0.987673i | \(-0.550031\pi\) |
0.418573 | + | 0.908183i | \(0.362531\pi\) | |||||||
\(278\) | −1.26971 | + | 27.0129i | −0.0761521 | + | 1.62012i | ||||
\(279\) | 0.442247 | + | 2.22333i | 0.0264767 | + | 0.133107i | ||||
\(280\) | 11.6032 | − | 2.98494i | 0.693426 | − | 0.178384i | ||||
\(281\) | −2.07315 | − | 0.412374i | −0.123674 | − | 0.0246002i | 0.132865 | − | 0.991134i | \(-0.457582\pi\) |
−0.256539 | + | 0.966534i | \(0.582582\pi\) | |||||||
\(282\) | 8.45200 | + | 14.0338i | 0.503309 | + | 0.835701i | ||||
\(283\) | 3.98537 | − | 3.27071i | 0.236906 | − | 0.194424i | −0.508448 | − | 0.861093i | \(-0.669781\pi\) |
0.745354 | + | 0.666669i | \(0.232281\pi\) | |||||||
\(284\) | 0.916250 | − | 9.72502i | 0.0543695 | − | 0.577074i | ||||
\(285\) | −4.14305 | − | 7.75109i | −0.245413 | − | 0.459135i | ||||
\(286\) | 2.51550 | + | 49.0827i | 0.148745 | + | 2.90232i | ||||
\(287\) | 1.32691 | + | 1.32691i | 0.0783250 | + | 0.0783250i | ||||
\(288\) | 5.64678 | − | 0.337390i | 0.332740 | − | 0.0198809i | ||||
\(289\) | 0.998603 | − | 0.998603i | 0.0587414 | − | 0.0587414i | ||||
\(290\) | 11.4381 | + | 10.3229i | 0.671671 | + | 0.606180i | ||||
\(291\) | −12.3537 | + | 6.60320i | −0.724188 | + | 0.387087i | ||||
\(292\) | −3.90724 | − | 12.6867i | −0.228654 | − | 0.742435i | ||||
\(293\) | 14.1595 | + | 17.2534i | 0.827207 | + | 1.00795i | 0.999737 | + | 0.0229501i | \(0.00730588\pi\) |
−0.172530 | + | 0.985004i | \(0.555194\pi\) | |||||||
\(294\) | 1.57357 | − | 6.33899i | 0.0917726 | − | 0.369697i | ||||
\(295\) | 6.67487 | − | 33.5568i | 0.388626 | − | 1.95375i | ||||
\(296\) | −7.53693 | − | 15.6770i | −0.438075 | − | 0.911206i | ||||
\(297\) | −6.12289 | + | 1.21792i | −0.355286 | + | 0.0706708i | ||||
\(298\) | −13.1639 | − | 14.4625i | −0.762567 | − | 0.837790i | ||||
\(299\) | −10.2984 | − | 33.9492i | −0.595571 | − | 1.96333i | ||||
\(300\) | 1.95926 | + | 4.67396i | 0.113118 | + | 0.269851i | ||||
\(301\) | 4.01081 | − | 4.88718i | 0.231179 | − | 0.281693i | ||||
\(302\) | 0.674221 | − | 0.502254i | 0.0387971 | − | 0.0289015i | ||||
\(303\) | −4.57756 | − | 11.0512i | −0.262974 | − | 0.634875i | ||||
\(304\) | −5.94172 | + | 11.3464i | −0.340781 | + | 0.650759i | ||||
\(305\) | 0.737895 | − | 1.78144i | 0.0422517 | − | 0.102005i | ||||
\(306\) | 1.48695 | + | 5.88332i | 0.0850030 | + | 0.336327i | ||||
\(307\) | 0.961956 | + | 9.76690i | 0.0549017 | + | 0.557426i | 0.982810 | + | 0.184618i | \(0.0591049\pi\) |
−0.927909 | + | 0.372808i | \(0.878395\pi\) | |||||||
\(308\) | 16.0664 | + | 10.6371i | 0.915469 | + | 0.606103i | ||||
\(309\) | −6.47274 | + | 12.1096i | −0.368221 | + | 0.688893i | ||||
\(310\) | 7.96259 | + | 3.74541i | 0.452245 | + | 0.212725i | ||||
\(311\) | 13.5695 | − | 20.3082i | 0.769456 | − | 1.15157i | −0.215116 | − | 0.976589i | \(-0.569013\pi\) |
0.984571 | − | 0.174983i | \(-0.0559871\pi\) | |||||||
\(312\) | −6.64131 | + | 14.2759i | −0.375990 | + | 0.808213i | ||||
\(313\) | 0.400851 | − | 0.267840i | 0.0226574 | − | 0.0151392i | −0.544190 | − | 0.838962i | \(-0.683163\pi\) |
0.566847 | + | 0.823823i | \(0.308163\pi\) | |||||||
\(314\) | 0.798071 | − | 1.08085i | 0.0450377 | − | 0.0609959i | ||||
\(315\) | −4.21554 | − | 0.415194i | −0.237518 | − | 0.0233935i | ||||
\(316\) | −3.04141 | − | 5.63255i | −0.171093 | − | 0.316856i | ||||
\(317\) | 16.2606 | + | 4.93259i | 0.913285 | + | 0.277042i | 0.711745 | − | 0.702438i | \(-0.247905\pi\) |
0.201541 | + | 0.979480i | \(0.435405\pi\) | |||||||
\(318\) | −3.23349 | + | 9.09769i | −0.181325 | + | 0.510173i | ||||
\(319\) | 24.7793i | 1.38737i | ||||||||
\(320\) | 11.9665 | − | 18.4114i | 0.668946 | − | 1.02923i | ||||
\(321\) | 4.76396i | 0.265898i | ||||||||
\(322\) | −13.1058 | − | 4.65805i | −0.730360 | − | 0.259583i | ||||
\(323\) | −13.1480 | − | 3.98839i | −0.731572 | − | 0.221920i | ||||
\(324\) | −1.91632 | − | 0.572456i | −0.106462 | − | 0.0318031i | ||||
\(325\) | −14.0382 | − | 1.38264i | −0.778697 | − | 0.0766950i | ||||
\(326\) | −9.36538 | − | 6.91514i | −0.518700 | − | 0.382994i | ||||
\(327\) | −6.51480 | + | 4.35305i | −0.360269 | + | 0.240724i | ||||
\(328\) | 3.43612 | + | 0.146925i | 0.189728 | + | 0.00811259i | ||||
\(329\) | −9.93204 | + | 14.8644i | −0.547571 | + | 0.819498i | ||||
\(330\) | −10.3146 | + | 21.9284i | −0.567800 | + | 1.20712i | ||||
\(331\) | 8.43007 | − | 15.7716i | 0.463359 | − | 0.866883i | −0.536379 | − | 0.843977i | \(-0.680208\pi\) |
0.999738 | − | 0.0229057i | \(-0.00729174\pi\) | |||||||
\(332\) | 4.79099 | + | 23.5638i | 0.262940 | + | 1.29323i | ||||
\(333\) | 0.602799 | + | 6.12032i | 0.0330332 | + | 0.335391i | ||||
\(334\) | 12.1278 | − | 3.06517i | 0.663605 | − | 0.167719i | ||||
\(335\) | 5.90763 | − | 14.2623i | 0.322768 | − | 0.779231i | ||||
\(336\) | 2.95595 | + | 5.41925i | 0.161260 | + | 0.295644i | ||||
\(337\) | 2.80491 | + | 6.77166i | 0.152793 | + | 0.368876i | 0.981679 | − | 0.190542i | \(-0.0610247\pi\) |
−0.828886 | + | 0.559418i | \(0.811025\pi\) | |||||||
\(338\) | −15.1976 | − | 20.4011i | −0.826638 | − | 1.10967i | ||||
\(339\) | 5.80972 | − | 7.07916i | 0.315541 | − | 0.384487i | ||||
\(340\) | 21.8006 | + | 8.92210i | 1.18230 | + | 0.483869i | ||||
\(341\) | 4.10805 | + | 13.5424i | 0.222464 | + | 0.733364i | ||||
\(342\) | 3.34880 | − | 3.04812i | 0.181082 | − | 0.164824i | ||||
\(343\) | 17.5855 | − | 3.49798i | 0.949530 | − | 0.188873i | ||||
\(344\) | −0.642091 | − | 11.5695i | −0.0346192 | − | 0.623785i | ||||
\(345\) | 3.41266 | − | 17.1566i | 0.183732 | − | 0.923681i | ||||
\(346\) | 18.7267 | + | 4.64867i | 1.00675 | + | 0.249914i | ||||
\(347\) | 0.345923 | + | 0.421509i | 0.0185701 | + | 0.0226278i | 0.782213 | − | 0.623011i | \(-0.214091\pi\) |
−0.763643 | + | 0.645639i | \(0.776591\pi\) | |||||||
\(348\) | −3.71247 | + | 7.01688i | −0.199009 | + | 0.376144i | ||||
\(349\) | 11.1529 | − | 5.96135i | 0.597001 | − | 0.319104i | −0.145074 | − | 0.989421i | \(-0.546342\pi\) |
0.742075 | + | 0.670317i | \(0.233842\pi\) | |||||||
\(350\) | −3.70531 | + | 4.10562i | −0.198057 | + | 0.219455i | ||||
\(351\) | 3.93627 | − | 3.93627i | 0.210103 | − | 0.210103i | ||||
\(352\) | 34.8758 | − | 5.55143i | 1.85889 | − | 0.295892i | ||||
\(353\) | −22.1452 | − | 22.1452i | −1.17867 | − | 1.17867i | −0.980084 | − | 0.198585i | \(-0.936365\pi\) |
−0.198585 | − | 0.980084i | \(-0.563635\pi\) | |||||||
\(354\) | 17.6051 | − | 0.902269i | 0.935702 | − | 0.0479550i | ||||
\(355\) | 6.31944 | + | 11.8228i | 0.335401 | + | 0.627492i | ||||
\(356\) | −12.5173 | − | 15.1213i | −0.663414 | − | 0.801425i | ||||
\(357\) | −5.11888 | + | 4.20096i | −0.270920 | + | 0.222338i | ||||
\(358\) | 4.10932 | − | 2.47488i | 0.217184 | − | 0.130801i | ||||
\(359\) | 25.8235 | + | 5.13661i | 1.36291 | + | 0.271100i | 0.821764 | − | 0.569828i | \(-0.192990\pi\) |
0.541147 | + | 0.840928i | \(0.317990\pi\) | |||||||
\(360\) | −6.20619 | + | 4.66424i | −0.327095 | + | 0.245827i | ||||
\(361\) | −1.70650 | − | 8.57917i | −0.0898159 | − | 0.451535i | ||||
\(362\) | 0.0104342 | 0.000490448i | 0.000548410 | 2.57774e-5i | ||||||
\(363\) | −26.7686 | + | 8.12017i | −1.40499 | + | 0.426198i | ||||
\(364\) | −17.1816 | + | 0.0727859i | −0.900558 | + | 0.00381502i | ||||
\(365\) | 14.0830 | + | 11.5576i | 0.737138 | + | 0.604954i | ||||
\(366\) | 0.983029 | + | 0.143691i | 0.0513838 | + | 0.00751086i | ||||
\(367\) | −15.0989 | + | 6.25415i | −0.788154 | + | 0.326464i | −0.740201 | − | 0.672386i | \(-0.765270\pi\) |
−0.0479527 | + | 0.998850i | \(0.515270\pi\) | |||||||
\(368\) | −23.4681 | + | 9.95458i | −1.22336 | + | 0.518918i | ||||
\(369\) | −1.12340 | − | 0.465329i | −0.0584820 | − | 0.0242240i | ||||
\(370\) | 20.5021 | + | 12.2295i | 1.06585 | + | 0.635783i | ||||
\(371\) | −10.4855 | + | 1.03273i | −0.544378 | + | 0.0536165i | ||||
\(372\) | −0.865649 | + | 4.45036i | −0.0448818 | + | 0.230740i | ||||
\(373\) | 11.6937 | + | 6.25039i | 0.605475 | + | 0.323633i | 0.745490 | − | 0.666516i | \(-0.232215\pi\) |
−0.140016 | + | 0.990149i | \(0.544715\pi\) | |||||||
\(374\) | 12.8381 | + | 35.6419i | 0.663843 | + | 1.84300i | ||||
\(375\) | 5.62798 | + | 3.76049i | 0.290628 | + | 0.194191i | ||||
\(376\) | 5.01345 | + | 32.3790i | 0.258549 | + | 1.66982i | ||||
\(377\) | −12.2757 | − | 18.3718i | −0.632229 | − | 0.946198i | ||||
\(378\) | −0.324809 | − | 2.15818i | −0.0167064 | − | 0.111005i | ||||
\(379\) | −1.78473 | + | 18.1206i | −0.0916752 | + | 0.930794i | 0.833821 | + | 0.552036i | \(0.186149\pi\) |
−0.925496 | + | 0.378758i | \(0.876351\pi\) | |||||||
\(380\) | −1.79701 | − | 17.4856i | −0.0921847 | − | 0.896995i | ||||
\(381\) | 3.47438 | − | 11.4535i | 0.177998 | − | 0.586780i | ||||
\(382\) | 28.0571 | − | 13.3428i | 1.43553 | − | 0.682678i | ||||
\(383\) | 17.1598 | 0.876824 | 0.438412 | − | 0.898774i | \(-0.355541\pi\) | ||||
0.438412 | + | 0.898774i | \(0.355541\pi\) | |||||||
\(384\) | 10.7077 | + | 3.65312i | 0.546425 | + | 0.186422i | ||||
\(385\) | −26.4443 | −1.34772 | ||||||||
\(386\) | −17.8563 | + | 8.49172i | −0.908860 | + | 0.432217i | ||||
\(387\) | −1.18922 | + | 3.92032i | −0.0604513 | + | 0.199281i | ||||
\(388\) | −27.8687 | + | 2.86408i | −1.41482 | + | 0.145402i | ||||
\(389\) | 0.287229 | − | 2.91628i | 0.0145631 | − | 0.147861i | −0.985153 | − | 0.171677i | \(-0.945081\pi\) |
0.999716 | + | 0.0238156i | \(0.00758145\pi\) | |||||||
\(390\) | −3.21592 | − | 21.3680i | −0.162844 | − | 1.08201i | ||||
\(391\) | −15.1928 | − | 22.7376i | −0.768332 | − | 1.14989i | ||||
\(392\) | 7.71464 | − | 10.5413i | 0.389648 | − | 0.532418i | ||||
\(393\) | 0.677535 | + | 0.452715i | 0.0341771 | + | 0.0228364i | ||||
\(394\) | 10.2105 | + | 28.3469i | 0.514396 | + | 1.42810i | ||||
\(395\) | 7.74776 | + | 4.14127i | 0.389832 | + | 0.208370i | ||||
\(396\) | −12.2560 | − | 2.38394i | −0.615887 | − | 0.119797i | ||||
\(397\) | −18.9112 | + | 1.86259i | −0.949125 | + | 0.0934806i | −0.560717 | − | 0.828007i | \(-0.689475\pi\) |
−0.388407 | + | 0.921488i | \(0.626975\pi\) | |||||||
\(398\) | −26.5478 | − | 15.8358i | −1.33072 | − | 0.793776i | ||||
\(399\) | 4.56533 | + | 1.89102i | 0.228552 | + | 0.0946694i | ||||
\(400\) | 0.0858763 | + | 10.1356i | 0.00429382 | + | 0.506782i | ||||
\(401\) | 3.08275 | − | 1.27692i | 0.153945 | − | 0.0637661i | −0.304380 | − | 0.952551i | \(-0.598449\pi\) |
0.458326 | + | 0.888784i | \(0.348449\pi\) | |||||||
\(402\) | 7.87019 | + | 1.15040i | 0.392529 | + | 0.0573768i | ||||
\(403\) | −9.75472 | − | 8.00549i | −0.485917 | − | 0.398782i | ||||
\(404\) | −0.101346 | − | 23.9233i | −0.00504214 | − | 1.19023i | ||||
\(405\) | 2.62662 | − | 0.796777i | 0.130518 | − | 0.0395922i | ||||
\(406\) | −8.65323 | − | 0.406735i | −0.429452 | − | 0.0201859i | ||||
\(407\) | 7.49012 | + | 37.6554i | 0.371271 | + | 1.86651i | ||||
\(408\) | −1.70449 | + | 12.0163i | −0.0843850 | + | 0.594898i | ||||
\(409\) | 28.1776 | + | 5.60487i | 1.39329 | + | 0.277143i | 0.833972 | − | 0.551808i | \(-0.186062\pi\) |
0.559322 | + | 0.828951i | \(0.311062\pi\) | |||||||
\(410\) | −4.04338 | + | 2.43517i | −0.199689 | + | 0.120264i | ||||
\(411\) | 11.8101 | − | 9.69230i | 0.582550 | − | 0.478086i | ||||
\(412\) | −21.1544 | + | 17.5114i | −1.04220 | + | 0.862727i | ||||
\(413\) | 9.06811 | + | 16.9652i | 0.446213 | + | 0.834805i | ||||
\(414\) | 9.00099 | − | 0.461304i | 0.442375 | − | 0.0226718i | ||||
\(415\) | −23.3351 | − | 23.3351i | −1.14547 | − | 1.14547i | ||||
\(416\) | −23.1074 | + | 21.3934i | −1.13293 | + | 1.04890i | ||||
\(417\) | 13.5213 | − | 13.5213i | 0.662143 | − | 0.662143i | ||||
\(418\) | 18.9402 | − | 20.9865i | 0.926396 | − | 1.02648i | ||||
\(419\) | 1.88980 | − | 1.01012i | 0.0923228 | − | 0.0493476i | −0.424589 | − | 0.905386i | \(-0.639581\pi\) |
0.516912 | + | 0.856039i | \(0.327081\pi\) | |||||||
\(420\) | −7.48837 | − | 3.96192i | −0.365395 | − | 0.193322i | ||||
\(421\) | −11.8024 | − | 14.3812i | −0.575212 | − | 0.700898i | 0.401401 | − | 0.915902i | \(-0.368523\pi\) |
−0.976613 | + | 0.215004i | \(0.931023\pi\) | |||||||
\(422\) | 7.24404 | + | 1.79824i | 0.352634 | + | 0.0875369i | ||||
\(423\) | 2.25995 | − | 11.3615i | 0.109883 | − | 0.552417i | ||||
\(424\) | −12.8769 | + | 14.3902i | −0.625359 | + | 0.698851i | ||||
\(425\) | −10.6643 | + | 2.12127i | −0.517296 | + | 0.102897i | ||||
\(426\) | −5.10797 | + | 4.64934i | −0.247482 | + | 0.225261i | ||||
\(427\) | 0.314704 | + | 1.03744i | 0.0152296 | + | 0.0502053i | ||||
\(428\) | −3.60885 | + | 8.81801i | −0.174440 | + | 0.426235i | ||||
\(429\) | 22.0466 | − | 26.8638i | 1.06442 | − | 1.29700i | ||||
\(430\) | 9.50013 | + | 12.7529i | 0.458137 | + | 0.614999i | ||||
\(431\) | −2.38748 | − | 5.76389i | −0.115001 | − | 0.277637i | 0.855890 | − | 0.517157i | \(-0.173010\pi\) |
−0.970891 | + | 0.239521i | \(0.923010\pi\) | |||||||
\(432\) | −3.11343 | − | 2.51129i | −0.149795 | − | 0.120824i | ||||
\(433\) | 7.60286 | − | 18.3549i | 0.365370 | − | 0.882082i | −0.629126 | − | 0.777304i | \(-0.716587\pi\) |
0.994496 | − | 0.104778i | \(-0.0334131\pi\) | |||||||
\(434\) | −4.79662 | + | 1.21229i | −0.230245 | + | 0.0581919i | ||||
\(435\) | −1.06788 | − | 10.8423i | −0.0512007 | − | 0.519850i | ||||
\(436\) | −15.3564 | + | 3.12226i | −0.735437 | + | 0.149529i | ||||
\(437\) | −9.61949 | + | 17.9968i | −0.460162 | + | 0.860903i | ||||
\(438\) | −3.99534 | + | 8.49395i | −0.190905 | + | 0.405856i | ||||
\(439\) | 1.78528 | − | 2.67186i | 0.0852067 | − | 0.127521i | −0.786418 | − | 0.617695i | \(-0.788067\pi\) |
0.871625 | + | 0.490174i | \(0.163067\pi\) | |||||||
\(440\) | −35.7037 | + | 32.7756i | −1.70210 | + | 1.56251i | ||||
\(441\) | −3.84004 | + | 2.56583i | −0.182859 | + | 0.122183i | ||||
\(442\) | −27.1755 | − | 20.0656i | −1.29260 | − | 0.954424i | ||||
\(443\) | 6.48538 | + | 0.638754i | 0.308129 | + | 0.0303481i | 0.250900 | − | 0.968013i | \(-0.419273\pi\) |
0.0572293 | + | 0.998361i | \(0.481773\pi\) | |||||||
\(444\) | −3.52057 | + | 11.7853i | −0.167079 | + | 0.559304i | ||||
\(445\) | 25.7802 | + | 7.82034i | 1.22210 | + | 0.370720i | ||||
\(446\) | −1.37261 | − | 0.487850i | −0.0649949 | − | 0.0231004i | ||||
\(447\) | 13.8285i | 0.654064i | ||||||||
\(448\) | 1.36616 | + | 12.2702i | 0.0645452 | + | 0.579711i | ||||
\(449\) | 27.9353i | 1.31835i | 0.751990 | + | 0.659175i | \(0.229094\pi\) | ||||
−0.751990 | + | 0.659175i | \(0.770906\pi\) | |||||||
\(450\) | 1.20013 | − | 3.37668i | 0.0565749 | − | 0.159178i | ||||
\(451\) | −7.26419 | − | 2.20357i | −0.342058 | − | 0.103762i | ||||
\(452\) | 16.1164 | − | 8.70237i | 0.758051 | − | 0.409325i | ||||
\(453\) | −0.591626 | − | 0.0582701i | −0.0277970 | − | 0.00273777i | ||||
\(454\) | 17.0820 | − | 23.1346i | 0.801697 | − | 1.08576i | ||||
\(455\) | 19.6063 | − | 13.1005i | 0.919157 | − | 0.614161i | ||||
\(456\) | 8.50763 | − | 3.10520i | 0.398406 | − | 0.145414i | ||||
\(457\) | −15.8823 | + | 23.7696i | −0.742944 | + | 1.11189i | 0.246803 | + | 0.969066i | \(0.420620\pi\) |
−0.989747 | + | 0.142829i | \(0.954380\pi\) | |||||||
\(458\) | 9.50695 | + | 4.47184i | 0.444231 | + | 0.208955i | ||||
\(459\) | 2.02274 | − | 3.78428i | 0.0944134 | − | 0.176635i | ||||
\(460\) | 19.3135 | − | 29.1714i | 0.900496 | − | 1.36013i | ||||
\(461\) | 0.982621 | + | 9.97672i | 0.0457652 | + | 0.464662i | 0.990568 | + | 0.137022i | \(0.0437532\pi\) |
−0.944803 | + | 0.327640i | \(0.893747\pi\) | |||||||
\(462\) | −3.33857 | − | 13.2096i | −0.155324 | − | 0.614564i | ||||
\(463\) | −6.75440 | + | 16.3066i | −0.313904 | + | 0.757831i | 0.685649 | + | 0.727932i | \(0.259518\pi\) |
−0.999553 | + | 0.0298986i | \(0.990482\pi\) | |||||||
\(464\) | −12.1872 | + | 10.1758i | −0.565779 | + | 0.472401i | ||||
\(465\) | −2.38112 | − | 5.74854i | −0.110422 | − | 0.266582i | ||||
\(466\) | −27.3716 | + | 20.3902i | −1.26796 | + | 0.944556i | ||||
\(467\) | 4.09031 | − | 4.98405i | 0.189277 | − | 0.230635i | −0.669722 | − | 0.742612i | \(-0.733587\pi\) |
0.858999 | + | 0.511977i | \(0.171087\pi\) | |||||||
\(468\) | 10.2678 | − | 4.30413i | 0.474631 | − | 0.198958i | ||||
\(469\) | 2.51954 | + | 8.30581i | 0.116341 | + | 0.383527i | ||||
\(470\) | −30.2683 | − | 33.2541i | −1.39617 | − | 1.53390i | ||||
\(471\) | −0.931786 | + | 0.185344i | −0.0429344 | + | 0.00854019i | ||||
\(472\) | 33.2703 | + | 11.6664i | 1.53139 | + | 0.536988i | ||||
\(473\) | −4.98948 | + | 25.0838i | −0.229417 | + | 1.15335i | ||||
\(474\) | −1.09051 | + | 4.39303i | −0.0500889 | + | 0.201778i | ||||
\(475\) | 5.14737 | + | 6.27209i | 0.236178 | + | 0.287783i | ||||
\(476\) | −12.6573 | + | 3.89819i | −0.580148 | + | 0.178673i | ||||
\(477\) | 6.02112 | − | 3.21836i | 0.275688 | − | 0.147358i | ||||
\(478\) | 6.39371 | + | 5.77030i | 0.292442 | + | 0.263927i | ||||
\(479\) | 1.53866 | − | 1.53866i | 0.0703031 | − | 0.0703031i | −0.671081 | − | 0.741384i | \(-0.734170\pi\) |
0.741384 | + | 0.671081i | \(0.234170\pi\) | |||||||
\(480\) | −15.0209 | + | 3.93205i | −0.685606 | + | 0.179473i | ||||
\(481\) | −24.2078 | − | 24.2078i | −1.10378 | − | 1.10378i | ||||
\(482\) | −1.46419 | − | 28.5694i | −0.0666922 | − | 1.30130i | ||||
\(483\) | 4.63626 | + | 8.67383i | 0.210957 | + | 0.394673i | ||||
\(484\) | −55.6996 | − | 5.24778i | −2.53180 | − | 0.238535i | ||||
\(485\) | 29.7212 | − | 24.3916i | 1.34957 | − | 1.10756i | ||||
\(486\) | 0.729619 | + | 1.21147i | 0.0330962 | + | 0.0549533i | ||||
\(487\) | 2.20948 | + | 0.439493i | 0.100121 | + | 0.0199153i | 0.244897 | − | 0.969549i | \(-0.421246\pi\) |
−0.144775 | + | 0.989465i | \(0.546246\pi\) | |||||||
\(488\) | 1.71072 | + | 1.01065i | 0.0774407 | + | 0.0457498i | ||||
\(489\) | 1.60597 | + | 8.07376i | 0.0726245 | + | 0.365108i | ||||
\(490\) | −0.841727 | + | 17.9076i | −0.0380254 | + | 0.808984i | ||||
\(491\) | 38.1824 | − | 11.5825i | 1.72315 | − | 0.522711i | 0.735248 | − | 0.677799i | \(-0.237066\pi\) |
0.987901 | + | 0.155087i | \(0.0495659\pi\) | |||||||
\(492\) | −1.72690 | − | 1.71233i | −0.0778546 | − | 0.0771978i | ||||
\(493\) | −13.1657 | − | 10.8048i | −0.592954 | − | 0.486625i | ||||
\(494\) | −3.64593 | + | 24.9428i | −0.164038 | + | 1.12223i | ||||
\(495\) | 15.8311 | − | 6.55745i | 0.711554 | − | 0.294735i | ||||
\(496\) | −4.97360 | + | 7.58179i | −0.223321 | + | 0.340433i | ||||
\(497\) | −6.96355 | − | 2.88440i | −0.312358 | − | 0.129383i | ||||
\(498\) | 8.71040 | − | 14.6025i | 0.390322 | − | 0.654353i | ||||
\(499\) | −19.8978 | + | 1.95976i | −0.890749 | + | 0.0877311i | −0.533028 | − | 0.846097i | \(-0.678946\pi\) |
−0.357721 | + | 0.933829i | \(0.616446\pi\) | |||||||
\(500\) | 7.56860 | + | 11.2240i | 0.338478 | + | 0.501952i | ||||
\(501\) | −7.80087 | − | 4.16965i | −0.348517 | − | 0.186286i | ||||
\(502\) | −31.8395 | + | 11.4685i | −1.42106 | + | 0.511863i | ||||
\(503\) | −13.9350 | − | 9.31104i | −0.621329 | − | 0.415159i | 0.204669 | − | 0.978831i | \(-0.434388\pi\) |
−0.825998 | + | 0.563672i | \(0.809388\pi\) | |||||||
\(504\) | 1.03367 | − | 4.24081i | 0.0460435 | − | 0.188901i | ||||
\(505\) | 18.2409 | + | 27.2994i | 0.811709 | + | 1.21481i | ||||
\(506\) | 55.6389 | − | 8.37374i | 2.47345 | − | 0.372258i | ||||
\(507\) | −1.76318 | + | 17.9019i | −0.0783055 | + | 0.795049i | ||||
\(508\) | 15.1074 | − | 18.5683i | 0.670283 | − | 0.823835i | ||||
\(509\) | −10.7456 | + | 35.4235i | −0.476291 | + | 1.57012i | 0.309042 | + | 0.951048i | \(0.399991\pi\) |
−0.785333 | + | 0.619073i | \(0.787509\pi\) | |||||||
\(510\) | −7.15340 | − | 15.0421i | −0.316758 | − | 0.666075i | ||||
\(511\) | −10.2432 | −0.453130 | ||||||||
\(512\) | 17.0524 | + | 14.8733i | 0.753618 | + | 0.657313i | ||||
\(513\) | −3.20199 | −0.141371 | ||||||||
\(514\) | −16.4104 | − | 34.5076i | −0.723833 | − | 1.52207i | ||||
\(515\) | 10.9405 | − | 36.0661i | 0.482097 | − | 1.58926i | ||||
\(516\) | −5.17099 | + | 6.35559i | −0.227640 | + | 0.279789i | ||||
\(517\) | 7.08840 | − | 71.9697i | 0.311747 | − | 3.16522i | ||||
\(518\) | −13.2727 | + | 1.99755i | −0.583167 | + | 0.0877675i | ||||
\(519\) | −7.58003 | − | 11.3443i | −0.332726 | − | 0.497960i | ||||
\(520\) | 10.2344 | − | 41.9880i | 0.448806 | − | 1.84130i | ||||
\(521\) | 2.85015 | + | 1.90441i | 0.124867 | + | 0.0834337i | 0.616435 | − | 0.787405i | \(-0.288576\pi\) |
−0.491568 | + | 0.870839i | \(0.663576\pi\) | |||||||
\(522\) | 5.28119 | − | 1.90227i | 0.231151 | − | 0.0832600i | ||||
\(523\) | 15.2013 | + | 8.12528i | 0.664708 | + | 0.355294i | 0.768996 | − | 0.639253i | \(-0.220756\pi\) |
−0.104288 | + | 0.994547i | \(0.533256\pi\) | |||||||
\(524\) | 0.911161 | + | 1.35122i | 0.0398043 | + | 0.0590284i | ||||
\(525\) | 3.89176 | − | 0.383305i | 0.169850 | − | 0.0167288i | ||||
\(526\) | 4.61476 | − | 7.73638i | 0.201213 | − | 0.337322i | ||||
\(527\) | −8.98665 | − | 3.72239i | −0.391465 | − | 0.162150i | ||||
\(528\) | −20.8797 | − | 13.6969i | −0.908674 | − | 0.596083i | ||||
\(529\) | −16.2744 | + | 6.74109i | −0.707584 | + | 0.293091i | ||||
\(530\) | 3.83309 | − | 26.2231i | 0.166499 | − | 1.13906i | ||||
\(531\) | −9.63561 | − | 7.90774i | −0.418150 | − | 0.343167i | ||||
\(532\) | 7.01784 | + | 6.95863i | 0.304262 | + | 0.301695i | ||||
\(533\) | 6.47746 | − | 1.96492i | 0.280570 | − | 0.0851100i | ||||
\(534\) | −0.651715 | + | 13.8652i | −0.0282025 | + | 0.600004i | ||||
\(535\) | −2.55103 | − | 12.8249i | −0.110291 | − | 0.554470i | ||||
\(536\) | 13.6961 | + | 8.09129i | 0.591583 | + | 0.349491i | ||||
\(537\) | −3.32684 | − | 0.661749i | −0.143564 | − | 0.0285566i | ||||
\(538\) | 13.3440 | + | 22.1566i | 0.575302 | + | 0.955239i | ||||
\(539\) | −22.2873 | + | 18.2907i | −0.959982 | + | 0.787837i | ||||
\(540\) | 5.46542 | + | 0.514929i | 0.235194 | + | 0.0221590i | ||||
\(541\) | 12.4800 | + | 23.3484i | 0.536556 | + | 1.00383i | 0.993446 | + | 0.114303i | \(0.0364634\pi\) |
−0.456890 | + | 0.889523i | \(0.651037\pi\) | |||||||
\(542\) | −0.148099 | − | 2.88972i | −0.00636139 | − | 0.124124i | ||||
\(543\) | −0.00522287 | − | 0.00522287i | −0.000224135 | − | 0.000224135i | ||||
\(544\) | −12.2578 | + | 20.9509i | −0.525547 | + | 0.898261i | ||||
\(545\) | 15.2073 | − | 15.2073i | 0.651409 | − | 0.651409i | ||||
\(546\) | 9.01930 | + | 8.13989i | 0.385990 | + | 0.348355i | ||||
\(547\) | −24.9645 | + | 13.3438i | −1.06740 | + | 0.570539i | −0.908983 | − | 0.416832i | \(-0.863140\pi\) |
−0.158421 | + | 0.987372i | \(0.550640\pi\) | |||||||
\(548\) | 29.2026 | − | 8.99377i | 1.24747 | − | 0.384195i | ||||
\(549\) | −0.445657 | − | 0.543035i | −0.0190202 | − | 0.0231762i | ||||
\(550\) | 5.38996 | − | 21.7130i | 0.229829 | − | 0.925844i | ||||
\(551\) | −2.47949 | + | 12.4652i | −0.105630 | + | 0.531037i | ||||
\(552\) | 17.0101 | + | 5.96468i | 0.724000 | + | 0.253873i | ||||
\(553\) | −4.84444 | + | 0.963620i | −0.206007 | + | 0.0409773i | ||||
\(554\) | −4.33851 | − | 4.76647i | −0.184325 | − | 0.202508i | ||||
\(555\) | −4.90013 | − | 16.1536i | −0.207999 | − | 0.685680i | ||||
\(556\) | 35.2707 | − | 14.7850i | 1.49581 | − | 0.627022i | ||||
\(557\) | −22.7487 | + | 27.7194i | −0.963893 | + | 1.17451i | 0.0207252 | + | 0.999785i | \(0.493402\pi\) |
−0.984618 | + | 0.174721i | \(0.944098\pi\) | |||||||
\(558\) | 2.57092 | − | 1.91518i | 0.108836 | − | 0.0810759i | ||||
\(559\) | −8.72724 | − | 21.0694i | −0.369123 | − | 0.891141i | ||||
\(560\) | −10.8596 | − | 13.0061i | −0.458901 | − | 0.549610i | ||||
\(561\) | 10.2512 | − | 24.7486i | 0.432807 | − | 1.04489i | ||||
\(562\) | 0.732483 | + | 2.89818i | 0.0308980 | + | 0.122252i | ||||
\(563\) | −0.260558 | − | 2.64549i | −0.0109812 | − | 0.111494i | 0.988132 | − | 0.153610i | \(-0.0490900\pi\) |
−0.999113 | + | 0.0421163i | \(0.986590\pi\) | |||||||
\(564\) | 12.7899 | − | 19.3181i | 0.538551 | − | 0.813437i | ||||
\(565\) | −11.8494 | + | 22.1686i | −0.498507 | + | 0.932642i | ||||
\(566\) | −6.59775 | − | 3.10342i | −0.277324 | − | 0.130446i | ||||
\(567\) | −0.857384 | + | 1.28317i | −0.0360067 | + | 0.0538879i | ||||
\(568\) | −12.9768 | + | 4.73640i | −0.544495 | + | 0.198735i | ||||
\(569\) | 9.57546 | − | 6.39812i | 0.401424 | − | 0.268223i | −0.338428 | − | 0.940992i | \(-0.609895\pi\) |
0.739852 | + | 0.672769i | \(0.234895\pi\) | |||||||
\(570\) | −7.38299 | + | 9.99900i | −0.309239 | + | 0.418812i | ||||
\(571\) | 26.4717 | + | 2.60724i | 1.10781 | + | 0.109110i | 0.635336 | − | 0.772236i | \(-0.280862\pi\) |
0.472472 | + | 0.881346i | \(0.343362\pi\) | |||||||
\(572\) | 61.1581 | − | 33.0236i | 2.55715 | − | 1.38078i | ||||
\(573\) | −21.0226 | − | 6.37713i | −0.878231 | − | 0.266408i | ||||
\(574\) | 0.888750 | − | 2.50058i | 0.0370957 | − | 0.104372i | ||||
\(575\) | 16.1492i | 0.673469i | ||||||||
\(576\) | −3.86053 | − | 7.00687i | −0.160856 | − | 0.291953i | ||||
\(577\) | 24.4488i | 1.01782i | 0.860821 | + | 0.508908i | \(0.169951\pi\) | ||||
−0.860821 | + | 0.508908i | \(0.830049\pi\) | |||||||
\(578\) | −1.88188 | − | 0.668854i | −0.0782758 | − | 0.0278207i | ||||
\(579\) | 13.3793 | + | 4.05857i | 0.556025 | + | 0.168668i | ||||
\(580\) | 6.23679 | − | 20.8779i | 0.258969 | − | 0.866909i | ||||
\(581\) | 18.4651 | + | 1.81865i | 0.766061 | + | 0.0754504i | ||||
\(582\) | 15.9365 | + | 11.7670i | 0.660587 | + | 0.487759i | ||||
\(583\) | 35.4386 | − | 23.6793i | 1.46772 | − | 0.980697i | ||||
\(584\) | −13.8298 | + | 12.6956i | −0.572280 | + | 0.525346i | ||||
\(585\) | −8.48891 | + | 12.7045i | −0.350973 | + | 0.525268i | ||||
\(586\) | 13.4353 | − | 28.5628i | 0.555006 | − | 1.17992i | ||||
\(587\) | 5.98065 | − | 11.1890i | 0.246848 | − | 0.461820i | −0.727732 | − | 0.685862i | \(-0.759425\pi\) |
0.974579 | + | 0.224042i | \(0.0719253\pi\) | |||||||
\(588\) | −9.05156 | + | 1.84036i | −0.373280 | + | 0.0758953i | ||||
\(589\) | 0.711462 | + | 7.22360i | 0.0293153 | + | 0.297643i | ||||
\(590\) | −46.9111 | + | 11.8563i | −1.93130 | + | 0.488116i | ||||
\(591\) | 8.15305 | − | 19.6832i | 0.335372 | − | 0.809659i | ||||
\(592\) | −15.4442 | + | 19.1474i | −0.634754 | + | 0.786953i | ||||
\(593\) | −15.5260 | − | 37.4831i | −0.637577 | − | 1.53925i | −0.829898 | − | 0.557915i | \(-0.811601\pi\) |
0.192321 | − | 0.981332i | \(-0.438399\pi\) | |||||||
\(594\) | 5.27427 | + | 7.08014i | 0.216406 | + | 0.290501i | ||||
\(595\) | 11.5308 | − | 14.0504i | 0.472718 | − | 0.576009i | ||||
\(596\) | −10.4755 | + | 25.5963i | −0.429094 | + | 1.04846i | ||||
\(597\) | 6.34508 | + | 20.9169i | 0.259687 | + | 0.856073i | ||||
\(598\) | −37.1034 | + | 33.7720i | −1.51727 | + | 1.38104i | ||||
\(599\) | −38.5645 | + | 7.67096i | −1.57570 | + | 0.313427i | −0.904046 | − | 0.427434i | \(-0.859418\pi\) |
−0.671658 | + | 0.740861i | \(0.734418\pi\) | |||||||
\(600\) | 4.77938 | − | 5.34105i | 0.195117 | − | 0.218047i | ||||
\(601\) | 6.37976 | − | 32.0732i | 0.260236 | − | 1.30829i | −0.600657 | − | 0.799507i | \(-0.705094\pi\) |
0.860893 | − | 0.508786i | \(-0.169906\pi\) | |||||||
\(602\) | −8.67767 | − | 2.15412i | −0.353676 | − | 0.0877954i | ||||
\(603\) | −3.56795 | − | 4.34757i | −0.145298 | − | 0.177047i | ||||
\(604\) | −1.05095 | − | 0.556033i | −0.0427625 | − | 0.0226247i | ||||
\(605\) | 67.7148 | − | 36.1943i | 2.75300 | − | 1.47151i | ||||
\(606\) | −11.3338 | + | 12.5583i | −0.460405 | + | 0.510146i | ||||
\(607\) | 4.83355 | − | 4.83355i | 0.196188 | − | 0.196188i | −0.602176 | − | 0.798363i | \(-0.705699\pi\) |
0.798363 | + | 0.602176i | \(0.205699\pi\) | |||||||
\(608\) | 18.0998 | + | 0.697127i | 0.734043 | + | 0.0282722i | ||||
\(609\) | 4.33139 | + | 4.33139i | 0.175517 | + | 0.175517i | ||||
\(610\) | −2.72333 | + | 0.139572i | −0.110264 | + | 0.00565109i | ||||
\(611\) | 30.3983 | + | 56.8713i | 1.22979 | + | 2.30077i | ||||
\(612\) | 6.61077 | − | 5.47235i | 0.267225 | − | 0.221207i | ||||
\(613\) | 22.7852 | − | 18.6993i | 0.920284 | − | 0.755257i | −0.0496143 | − | 0.998768i | \(-0.515799\pi\) |
0.969898 | + | 0.243511i | \(0.0782992\pi\) | |||||||
\(614\) | 11.8895 | − | 7.16059i | 0.479823 | − | 0.288978i | ||||
\(615\) | 3.27346 | + | 0.651131i | 0.131999 | + | 0.0262561i | ||||
\(616\) | 3.82702 | − | 26.9798i | 0.154195 | − | 1.08705i | ||||
\(617\) | −0.220821 | − | 1.11014i | −0.00888991 | − | 0.0446926i | 0.976086 | − | 0.217386i | \(-0.0697530\pi\) |
−0.984976 | + | 0.172693i | \(0.944753\pi\) | |||||||
\(618\) | 19.3971 | + | 0.911738i | 0.780266 | + | 0.0366755i | ||||
\(619\) | −18.9964 | + | 5.76250i | −0.763530 | + | 0.231614i | −0.647949 | − | 0.761684i | \(-0.724373\pi\) |
−0.115581 | + | 0.993298i | \(0.536873\pi\) | |||||||
\(620\) | −0.0527173 | − | 12.4442i | −0.00211718 | − | 0.499773i | ||||
\(621\) | −4.92641 | − | 4.04300i | −0.197690 | − | 0.162240i | ||||
\(622\) | −34.1782 | − | 4.99589i | −1.37042 | − | 0.200317i | ||||
\(623\) | −13.9940 | + | 5.79648i | −0.560656 | + | 0.232231i | ||||
\(624\) | 22.2661 | − | 0.188654i | 0.891358 | − | 0.00755222i | ||||
\(625\) | −28.8702 | − | 11.9584i | −1.15481 | − | 0.478337i | ||||
\(626\) | −0.585533 | − | 0.349271i | −0.0234026 | − | 0.0139597i | ||||
\(627\) | −19.8933 | + | 1.95932i | −0.794462 | + | 0.0782476i | ||||
\(628\) | −1.86513 | − | 0.362790i | −0.0744266 | − | 0.0144769i | ||||
\(629\) | −23.2731 | − | 12.4397i | −0.927958 | − | 0.496004i | ||||
\(630\) | 2.03009 | + | 5.63604i | 0.0808805 | + | 0.224545i | ||||
\(631\) | 6.04512 | + | 4.03922i | 0.240652 | + | 0.160799i | 0.670048 | − | 0.742318i | \(-0.266273\pi\) |
−0.429396 | + | 0.903116i | \(0.641273\pi\) | |||||||
\(632\) | −5.34638 | + | 7.30533i | −0.212668 | + | 0.290590i | ||||
\(633\) | −2.93217 | − | 4.38831i | −0.116543 | − | 0.174420i | ||||
\(634\) | −3.57638 | − | 23.7631i | −0.142036 | − | 0.943752i | ||||
\(635\) | −3.22009 | + | 32.6941i | −0.127785 | + | 1.29743i | ||||
\(636\) | 13.5830 | − | 1.39593i | 0.538601 | − | 0.0553524i | ||||
\(637\) | 7.46301 | − | 24.6022i | 0.295695 | − | 0.974776i | ||||
\(638\) | 31.6469 | − | 15.0500i | 1.25291 | − | 0.595834i | ||||
\(639\) | 4.88404 | 0.193210 | ||||||||
\(640\) | −30.7821 | − | 4.10064i | −1.21677 | − | 0.162092i | ||||
\(641\) | −22.8564 | −0.902774 | −0.451387 | − | 0.892328i | \(-0.649071\pi\) | ||||
−0.451387 | + | 0.892328i | \(0.649071\pi\) | |||||||
\(642\) | 6.08429 | − | 2.89344i | 0.240128 | − | 0.114195i | ||||
\(643\) | −1.04656 | + | 3.45006i | −0.0412725 | + | 0.136057i | −0.975155 | − | 0.221522i | \(-0.928898\pi\) |
0.933883 | + | 0.357579i | \(0.116398\pi\) | |||||||
\(644\) | 2.01094 | + | 19.5672i | 0.0792420 | + | 0.771057i | ||||
\(645\) | 1.10218 | − | 11.1906i | 0.0433982 | − | 0.440630i | ||||
\(646\) | 2.89178 | + | 19.2143i | 0.113776 | + | 0.755977i | ||||
\(647\) | −9.72627 | − | 14.5564i | −0.382379 | − | 0.572271i | 0.589495 | − | 0.807772i | \(-0.299327\pi\) |
−0.971874 | + | 0.235501i | \(0.924327\pi\) | |||||||
\(648\) | 0.432786 | + | 2.79512i | 0.0170015 | + | 0.109803i | ||||
\(649\) | −64.7028 | − | 43.2330i | −2.53981 | − | 1.69704i | ||||
\(650\) | 6.76039 | + | 18.7686i | 0.265164 | + | 0.736165i | ||||
\(651\) | 3.08529 | + | 1.64912i | 0.120922 | + | 0.0646341i | ||||
\(652\) | −3.14351 | + | 16.1610i | −0.123109 | + | 0.632913i | ||||
\(653\) | 15.1683 | − | 1.49395i | 0.593582 | − | 0.0584627i | 0.203234 | − | 0.979130i | \(-0.434855\pi\) |
0.390348 | + | 0.920667i | \(0.372355\pi\) | |||||||
\(654\) | 9.51633 | + | 5.67650i | 0.372118 | + | 0.221969i | ||||
\(655\) | −2.06640 | − | 0.855929i | −0.0807408 | − | 0.0334439i | ||||
\(656\) | −1.89932 | − | 4.47768i | −0.0741559 | − | 0.174824i | ||||
\(657\) | 6.13215 | − | 2.54002i | 0.239238 | − | 0.0990956i | ||||
\(658\) | 25.0163 | + | 3.65669i | 0.975239 | + | 0.142553i | ||||
\(659\) | 8.45255 | + | 6.93683i | 0.329264 | + | 0.270220i | 0.784471 | − | 0.620166i | \(-0.212935\pi\) |
−0.455207 | + | 0.890386i | \(0.650435\pi\) | |||||||
\(660\) | 34.2706 | − | 0.145180i | 1.33398 | − | 0.00565112i | ||||
\(661\) | −21.4005 | + | 6.49177i | −0.832383 | + | 0.252501i | −0.677584 | − | 0.735445i | \(-0.736973\pi\) |
−0.154799 | + | 0.987946i | \(0.549473\pi\) | |||||||
\(662\) | −25.2627 | − | 1.18745i | −0.981864 | − | 0.0461514i | ||||
\(663\) | 4.66003 | + | 23.4276i | 0.180981 | + | 0.909852i | ||||
\(664\) | 27.1847 | − | 20.4306i | 1.05497 | − | 0.792859i | ||||
\(665\) | −13.3028 | − | 2.64609i | −0.515861 | − | 0.102611i | ||||
\(666\) | 7.45045 | − | 4.48711i | 0.288699 | − | 0.173872i | ||||
\(667\) | −19.5540 | + | 16.0476i | −0.757135 | + | 0.621365i | ||||
\(668\) | −11.2807 | − | 13.6274i | −0.436461 | − | 0.527259i | ||||
\(669\) | 0.485567 | + | 0.908432i | 0.0187731 | + | 0.0351220i | ||||
\(670\) | −21.8031 | + | 1.11742i | −0.842329 | + | 0.0431696i | ||||
\(671\) | −3.10106 | − | 3.10106i | −0.119715 | − | 0.119715i | ||||
\(672\) | 5.12587 | − | 7.06663i | 0.197735 | − | 0.272601i | ||||
\(673\) | 20.9988 | − | 20.9988i | 0.809442 | − | 0.809442i | −0.175107 | − | 0.984549i | \(-0.556027\pi\) |
0.984549 | + | 0.175107i | \(0.0560271\pi\) | |||||||
\(674\) | 6.94483 | − | 7.69513i | 0.267505 | − | 0.296405i | ||||
\(675\) | −2.23479 | + | 1.19452i | −0.0860170 | + | 0.0459771i | ||||
\(676\) | −16.8248 | + | 31.8004i | −0.647110 | + | 1.22309i | ||||
\(677\) | 15.6424 | + | 19.0604i | 0.601188 | + | 0.732550i | 0.981320 | − | 0.192382i | \(-0.0616214\pi\) |
−0.380132 | + | 0.924932i | \(0.624121\pi\) | |||||||
\(678\) | −12.5697 | − | 3.12028i | −0.482738 | − | 0.119834i | ||||
\(679\) | −4.21735 | + | 21.2021i | −0.161847 | + | 0.813661i | ||||
\(680\) | −1.84597 | − | 33.2616i | −0.0707899 | − | 1.27552i | ||||
\(681\) | −19.9440 | + | 3.96712i | −0.764257 | + | 0.152020i | ||||
\(682\) | 14.8007 | − | 13.4717i | 0.566747 | − | 0.515860i | ||||
\(683\) | 3.05021 | + | 10.0552i | 0.116713 | + | 0.384752i | 0.995761 | − | 0.0919825i | \(-0.0293204\pi\) |
−0.879047 | + | 0.476734i | \(0.841820\pi\) | |||||||
\(684\) | −5.92684 | − | 2.42561i | −0.226618 | − | 0.0927457i | ||||
\(685\) | −26.6036 | + | 32.4165i | −1.01647 | + | 1.23857i | ||||
\(686\) | −15.1482 | − | 20.3348i | −0.578362 | − | 0.776388i | ||||
\(687\) | −2.84295 | − | 6.86348i | −0.108465 | − | 0.261858i | ||||
\(688\) | −14.3860 | + | 7.84690i | −0.548461 | + | 0.299160i | ||||
\(689\) | −14.5441 | + | 35.1126i | −0.554087 | + | 1.33768i | ||||
\(690\) | −23.9843 | + | 6.06177i | −0.913067 | + | 0.230768i | ||||
\(691\) | 0.208606 | + | 2.11801i | 0.00793574 | + | 0.0805729i | 0.998337 | − | 0.0576503i | \(-0.0183609\pi\) |
−0.990401 | + | 0.138223i | \(0.955861\pi\) | |||||||
\(692\) | −5.43683 | − | 26.7403i | −0.206677 | − | 1.01651i | ||||
\(693\) | −4.54156 | + | 8.49667i | −0.172520 | + | 0.322762i | ||||
\(694\) | 0.328230 | − | 0.697804i | 0.0124594 | − | 0.0264883i | ||||
\(695\) | −29.1600 | + | 43.6410i | −1.10610 | + | 1.65540i | ||||
\(696\) | 11.2164 | + | 0.479603i | 0.425158 | + | 0.0181793i | ||||
\(697\) | 4.33830 | − | 2.89876i | 0.164325 | − | 0.109798i | ||||
\(698\) | −14.3874 | − | 10.6232i | −0.544570 | − | 0.402096i | ||||
\(699\) | 24.0184 | + | 2.36561i | 0.908461 | + | 0.0894756i | ||||
\(700\) | 7.49396 | + | 2.23864i | 0.283245 | + | 0.0846128i | ||||
\(701\) | 20.9613 | + | 6.35855i | 0.791699 | + | 0.240159i | 0.660134 | − | 0.751148i | \(-0.270500\pi\) |
0.131565 | + | 0.991307i | \(0.458000\pi\) | |||||||
\(702\) | −7.41795 | − | 2.63647i | −0.279972 | − | 0.0995073i | ||||
\(703\) | 19.6920i | 0.742699i | ||||||||
\(704\) | −28.2722 | − | 41.1699i | −1.06555 | − | 1.55165i | ||||
\(705\) | 31.7963i | 1.19752i | ||||||||
\(706\) | −14.8326 | + | 41.7328i | −0.558233 | + | 1.57064i | ||||
\(707\) | −17.6651 | − | 5.35864i | −0.664363 | − | 0.201532i | ||||
\(708\) | −11.8450 | − | 21.9364i | −0.445162 | − | 0.824420i | ||||
\(709\) | −34.9015 | − | 3.43750i | −1.31075 | − | 0.129098i | −0.581616 | − | 0.813464i | \(-0.697579\pi\) |
−0.729139 | + | 0.684366i | \(0.760079\pi\) | |||||||
\(710\) | 11.2614 | − | 15.2516i | 0.422632 | − | 0.572383i | ||||
\(711\) | 2.66122 | − | 1.77817i | 0.0998034 | − | 0.0666865i | ||||
\(712\) | −11.7096 | + | 25.1705i | −0.438836 | + | 0.943304i | ||||
\(713\) | −8.02626 | + | 12.0121i | −0.300586 | + | 0.449858i | ||||
\(714\) | 8.47426 | + | 3.98608i | 0.317141 | + | 0.149175i | ||||
\(715\) | −44.9658 | + | 84.1250i | −1.68162 | + | 3.14610i | ||||
\(716\) | −5.65663 | − | 3.74507i | −0.211398 | − | 0.139960i | ||||
\(717\) | −0.596923 | − | 6.06066i | −0.0222925 | − | 0.226340i | ||||
\(718\) | −9.12394 | − | 36.1002i | −0.340502 | − | 1.34725i | ||||
\(719\) | −2.11444 | + | 5.10471i | −0.0788553 | + | 0.190373i | −0.958391 | − | 0.285460i | \(-0.907854\pi\) |
0.879535 | + | 0.475834i | \(0.157854\pi\) | |||||||
\(720\) | 9.72634 | + | 5.09336i | 0.362479 | + | 0.189818i | ||||
\(721\) | 8.10918 | + | 19.5773i | 0.302002 | + | 0.729097i | ||||
\(722\) | −9.92042 | + | 7.39011i | −0.369200 | + | 0.275031i | ||||
\(723\) | −12.8326 | + | 15.6366i | −0.477250 | + | 0.581531i | ||||
\(724\) | −0.00571096 | − | 0.0136239i | −0.000212246 | − | 0.000506330i | ||||
\(725\) | 2.91969 | + | 9.62493i | 0.108435 | + | 0.357461i | ||||
\(726\) | 26.6289 | + | 29.2557i | 0.988290 | + | 1.08578i | ||||
\(727\) | 24.8817 | − | 4.94928i | 0.922812 | − | 0.183559i | 0.289253 | − | 0.957253i | \(-0.406593\pi\) |
0.633559 | + | 0.773694i | \(0.281593\pi\) | |||||||
\(728\) | 10.5284 | + | 21.8992i | 0.390207 | + | 0.811639i | ||||
\(729\) | 0.195090 | − | 0.980785i | 0.00722557 | − | 0.0363254i | ||||
\(730\) | 6.20736 | − | 25.0058i | 0.229745 | − | 0.925505i | ||||
\(731\) | −11.1519 | − | 13.5886i | −0.412468 | − | 0.502594i | ||||
\(732\) | −0.413538 | − | 1.34275i | −0.0152848 | − | 0.0496294i | ||||
\(733\) | −14.2090 | + | 7.59488i | −0.524822 | + | 0.280523i | −0.712457 | − | 0.701716i | \(-0.752418\pi\) |
0.187635 | + | 0.982239i | \(0.439918\pi\) | |||||||
\(734\) | 17.1579 | + | 15.4850i | 0.633311 | + | 0.571561i | ||||
\(735\) | 8.96370 | − | 8.96370i | 0.330631 | − | 0.330631i | ||||
\(736\) | 26.9671 | + | 23.9263i | 0.994020 | + | 0.881934i | ||||
\(737\) | −24.8272 | − | 24.8272i | −0.914523 | − | 0.914523i | ||||
\(738\) | 0.0880161 | + | 1.71738i | 0.00323992 | + | 0.0632175i | ||||
\(739\) | −12.5039 | − | 23.3931i | −0.459963 | − | 0.860531i | −0.999824 | − | 0.0187762i | \(-0.994023\pi\) |
0.539860 | − | 0.841755i | \(-0.318477\pi\) | |||||||
\(740\) | 3.16678 | − | 33.6120i | 0.116413 | − | 1.23560i | ||||
\(741\) | 13.7786 | − | 11.3078i | 0.506170 | − | 0.415403i | ||||
\(742\) | 7.68740 | + | 12.7643i | 0.282214 | + | 0.468591i | ||||
\(743\) | −26.2011 | − | 5.21173i | −0.961226 | − | 0.191200i | −0.310552 | − | 0.950557i | \(-0.600514\pi\) |
−0.650675 | + | 0.759357i | \(0.725514\pi\) | |||||||
\(744\) | 6.20954 | − | 1.59741i | 0.227653 | − | 0.0585639i | ||||
\(745\) | −7.40496 | − | 37.2272i | −0.271297 | − | 1.36390i | ||||
\(746\) | 0.880419 | − | 18.7308i | 0.0322344 | − | 0.685783i | ||||
\(747\) | −11.5053 | + | 3.49008i | −0.420955 | + | 0.127695i | ||||
\(748\) | 37.7227 | − | 38.0437i | 1.37928 | − | 1.39102i | ||||
\(749\) | 5.68315 | + | 4.66404i | 0.207658 | + | 0.170420i | ||||
\(750\) | 1.38450 | − | 9.47175i | 0.0505549 | − | 0.345859i | ||||
\(751\) | 40.2506 | − | 16.6723i | 1.46876 | − | 0.608382i | 0.502187 | − | 0.864759i | \(-0.332529\pi\) |
0.966577 | + | 0.256377i | \(0.0825288\pi\) | |||||||
\(752\) | 38.3079 | − | 26.0687i | 1.39695 | − | 0.950627i | ||||
\(753\) | 22.1083 | + | 9.15756i | 0.805672 | + | 0.333720i | ||||
\(754\) | −16.0078 | + | 26.8362i | −0.582971 | + | 0.977317i | ||||
\(755\) | 1.62390 | − | 0.159940i | 0.0590999 | − | 0.00582083i | ||||
\(756\) | −2.55904 | + | 1.72562i | −0.0930715 | + | 0.0627603i | ||||
\(757\) | 40.0262 | + | 21.3944i | 1.45478 | + | 0.777594i | 0.993943 | − | 0.109893i | \(-0.0350507\pi\) |
0.460833 | + | 0.887487i | \(0.347551\pi\) | |||||||
\(758\) | 24.2267 | − | 8.72639i | 0.879954 | − | 0.316957i | ||||
\(759\) | −33.0806 | − | 22.1038i | −1.20075 | − | 0.802316i | ||||
\(760\) | −21.2404 | + | 12.9151i | −0.770469 | + | 0.468482i | ||||
\(761\) | 14.1463 | + | 21.1714i | 0.512801 | + | 0.767461i | 0.994027 | − | 0.109136i | \(-0.0348082\pi\) |
−0.481226 | + | 0.876597i | \(0.659808\pi\) | |||||||
\(762\) | −16.7380 | + | 2.51910i | −0.606355 | + | 0.0912573i | ||||
\(763\) | −1.18520 | + | 12.0336i | −0.0429072 | + | 0.435644i | ||||
\(764\) | −34.0816 | − | 27.7293i | −1.23303 | − | 1.00321i | ||||
\(765\) | −3.41893 | + | 11.2707i | −0.123612 | + | 0.407493i | ||||
\(766\) | −10.4222 | − | 21.9156i | −0.376569 | − | 0.791844i | ||||
\(767\) | 69.3895 | 2.50551 | ||||||||
\(768\) | −1.83785 | − | 15.8941i | −0.0663177 | − | 0.573529i | ||||
\(769\) | 8.22516 | 0.296607 | 0.148304 | − | 0.988942i | \(-0.452619\pi\) | ||||
0.148304 | + | 0.988942i | \(0.452619\pi\) | |||||||
\(770\) | 16.0612 | + | 33.7733i | 0.578806 | + | 1.21711i | ||||
\(771\) | −7.84327 | + | 25.8558i | −0.282468 | + | 0.931174i | ||||
\(772\) | 21.6904 | + | 17.6476i | 0.780654 | + | 0.635151i | ||||
\(773\) | −3.09827 | + | 31.4573i | −0.111437 | + | 1.13144i | 0.763033 | + | 0.646359i | \(0.223709\pi\) |
−0.874470 | + | 0.485079i | \(0.838791\pi\) | |||||||
\(774\) | 5.72913 | − | 0.862241i | 0.205929 | − | 0.0309926i | ||||
\(775\) | 3.19135 | + | 4.77620i | 0.114637 | + | 0.171566i | ||||
\(776\) | 20.5842 | + | 33.8530i | 0.738930 | + | 1.21525i | ||||
\(777\) | 7.89138 | + | 5.27285i | 0.283102 | + | 0.189162i | ||||
\(778\) | −3.89898 | + | 1.40440i | −0.139785 | + | 0.0503502i | ||||
\(779\) | −3.43376 | − | 1.83538i | −0.123027 | − | 0.0657595i | ||||
\(780\) | −25.3369 | + | 17.0853i | −0.907208 | + | 0.611752i | ||||
\(781\) | 30.3435 | − | 2.98857i | 1.08578 | − | 0.106940i | ||||
\(782\) | −19.8118 | + | 33.2134i | −0.708470 | + | 1.18771i | ||||
\(783\) | −3.66709 | − | 1.51896i | −0.131051 | − | 0.0542831i | ||||
\(784\) | −18.1484 | − | 3.45037i | −0.648159 | − | 0.123227i | ||||
\(785\) | 2.40919 | − | 0.997918i | 0.0859876 | − | 0.0356172i | ||||
\(786\) | 0.166676 | − | 1.14028i | 0.00594515 | − | 0.0406723i | ||||
\(787\) | −7.82740 | − | 6.42378i | −0.279017 | − | 0.228983i | 0.484468 | − | 0.874809i | \(-0.339013\pi\) |
−0.763485 | + | 0.645826i | \(0.776513\pi\) | |||||||
\(788\) | 30.0018 | − | 30.2571i | 1.06877 | − | 1.07786i | ||||
\(789\) | −6.09548 | + | 1.84904i | −0.217005 | + | 0.0658277i | ||||
\(790\) | 0.583332 | − | 12.4103i | 0.0207540 | − | 0.441539i | ||||
\(791\) | −2.75720 | − | 13.8614i | −0.0980348 | − | 0.492854i | ||||
\(792\) | 4.39916 | + | 17.1007i | 0.156317 | + | 0.607645i | ||||
\(793\) | 3.83545 | + | 0.762918i | 0.136201 | + | 0.0270920i | ||||
\(794\) | 13.8647 | + | 23.0212i | 0.492040 | + | 0.816990i | ||||
\(795\) | −14.4859 | + | 11.8883i | −0.513762 | + | 0.421634i | ||||
\(796\) | −4.10060 | + | 43.5235i | −0.145342 | + | 1.54265i | ||||
\(797\) | −10.8678 | − | 20.3323i | −0.384959 | − | 0.720207i | 0.612574 | − | 0.790413i | \(-0.290134\pi\) |
−0.997532 | + | 0.0702065i | \(0.977634\pi\) | |||||||
\(798\) | −0.357683 | − | 6.97914i | −0.0126618 | − | 0.247059i | ||||
\(799\) | 35.1481 | + | 35.1481i | 1.24345 | + | 1.24345i | ||||
\(800\) | 12.8926 | − | 6.26566i | 0.455821 | − | 0.221525i | ||||
\(801\) | 6.94023 | − | 6.94023i | 0.245221 | − | 0.245221i | ||||
\(802\) | −3.50315 | − | 3.16158i | −0.123701 | − | 0.111639i | ||||
\(803\) | 36.5435 | − | 19.5329i | 1.28959 | − | 0.689301i | ||||
\(804\) | −3.31081 | − | 10.7501i | −0.116763 | − | 0.379127i | ||||
\(805\) | −17.1259 | − | 20.8679i | −0.603607 | − | 0.735498i | ||||
\(806\) | −4.29958 | + | 17.3205i | −0.151446 | + | 0.610087i | ||||
\(807\) | 3.56802 | − | 17.9376i | 0.125600 | − | 0.631435i | ||||
\(808\) | −30.4921 | + | 14.6595i | −1.07271 | + | 0.515719i | ||||
\(809\) | 31.9442 | − | 6.35409i | 1.12310 | − | 0.223398i | 0.401600 | − | 0.915815i | \(-0.368454\pi\) |
0.721498 | + | 0.692417i | \(0.243454\pi\) | |||||||
\(810\) | −2.61291 | − | 2.87066i | −0.0918084 | − | 0.100865i | ||||
\(811\) | 1.35326 | + | 4.46110i | 0.0475193 | + | 0.156650i | 0.977489 | − | 0.210986i | \(-0.0676673\pi\) |
−0.929970 | + | 0.367636i | \(0.880167\pi\) | |||||||
\(812\) | 4.73617 | + | 11.2985i | 0.166207 | + | 0.396500i | ||||
\(813\) | −1.29798 | + | 1.58159i | −0.0455222 | + | 0.0554689i | ||||
\(814\) | 43.5424 | − | 32.4364i | 1.52616 | − | 1.13690i | ||||
\(815\) | −8.64677 | − | 20.8752i | −0.302883 | − | 0.731225i | ||||
\(816\) | 16.3819 | − | 5.12136i | 0.573482 | − | 0.179284i | ||||
\(817\) | −5.01992 | + | 12.1192i | −0.175625 | + | 0.423996i | ||||
\(818\) | −9.95571 | − | 39.3912i | −0.348093 | − | 1.37728i | ||||
\(819\) | −0.842051 | − | 8.54949i | −0.0294236 | − | 0.298743i | ||||
\(820\) | 5.56587 | + | 3.68498i | 0.194369 | + | 0.128685i | ||||
\(821\) | −0.526701 | + | 0.985388i | −0.0183820 | + | 0.0343903i | −0.890945 | − | 0.454112i | \(-0.849957\pi\) |
0.872563 | + | 0.488502i | \(0.162457\pi\) | |||||||
\(822\) | −19.5515 | − | 9.19655i | −0.681938 | − | 0.320767i | ||||
\(823\) | −3.68451 | + | 5.51426i | −0.128434 | + | 0.192215i | −0.890113 | − | 0.455739i | \(-0.849375\pi\) |
0.761680 | + | 0.647954i | \(0.224375\pi\) | |||||||
\(824\) | 35.2131 | + | 16.3816i | 1.22671 | + | 0.570679i | ||||
\(825\) | −13.1533 | + | 8.78877i | −0.457940 | + | 0.305986i | ||||
\(826\) | 16.1595 | − | 21.8854i | 0.562263 | − | 0.761489i | ||||
\(827\) | −46.7203 | − | 4.60155i | −1.62462 | − | 0.160011i | −0.755686 | − | 0.654934i | \(-0.772697\pi\) |
−0.868937 | + | 0.494922i | \(0.835197\pi\) | |||||||
\(828\) | −6.05600 | − | 11.2154i | −0.210461 | − | 0.389763i | ||||
\(829\) | −27.8939 | − | 8.46151i | −0.968794 | − | 0.293880i | −0.234050 | − | 0.972225i | \(-0.575198\pi\) |
−0.734744 | + | 0.678344i | \(0.762698\pi\) | |||||||
\(830\) | −15.6296 | + | 43.9752i | −0.542511 | + | 1.52640i | ||||
\(831\) | 4.55752i | 0.158098i | ||||||||
\(832\) | 41.3572 | + | 16.5181i | 1.43380 | + | 0.572662i | ||||
\(833\) | − | 19.8172i | − | 0.686626i | ||||||
\(834\) | −25.4811 | − | 9.05646i | −0.882339 | − | 0.313600i | ||||
\(835\) | 23.2333 | + | 7.04775i | 0.804022 | + | 0.243897i | ||||
\(836\) | −38.3064 | − | 11.4431i | −1.32486 | − | 0.395769i | ||||
\(837\) | −2.25597 | − | 0.222194i | −0.0779777 | − | 0.00768013i | ||||
\(838\) | −2.43786 | − | 1.80005i | −0.0842146 | − | 0.0621818i | ||||
\(839\) | −15.2137 | + | 10.1655i | −0.525235 | + | 0.350951i | −0.789748 | − | 0.613431i | \(-0.789789\pi\) |
0.264513 | + | 0.964382i | \(0.414789\pi\) | |||||||
\(840\) | −0.511829 | + | 11.9701i | −0.0176598 | + | 0.413007i | ||||
\(841\) | 7.35865 | − | 11.0130i | 0.253747 | − | 0.379759i | ||||
\(842\) | −11.1987 | + | 23.8080i | −0.385932 | + | 0.820477i | ||||
\(843\) | 0.996420 | − | 1.86417i | 0.0343185 | − | 0.0642055i | ||||
\(844\) | −2.10312 | − | 10.3439i | −0.0723925 | − | 0.356052i | ||||
\(845\) | −4.83960 | − | 49.1372i | −0.166487 | − | 1.69037i | ||||
\(846\) | −15.8830 | + | 4.01426i | −0.546069 | + | 0.138013i | ||||
\(847\) | −16.5203 | + | 39.8834i | −0.567643 | + | 1.37041i | ||||
\(848\) | 26.1994 | + | 7.70572i | 0.899692 | + | 0.264616i | ||||
\(849\) | 1.97298 | + | 4.76320i | 0.0677126 | + | 0.163473i | ||||
\(850\) | 9.18628 | + | 12.3316i | 0.315087 | + | 0.422970i | ||||
\(851\) | −24.8642 | + | 30.2971i | −0.852332 | + | 1.03857i | ||||
\(852\) | 9.04029 | + | 3.69982i | 0.309715 | + | 0.126754i | ||||
\(853\) | −10.4215 | − | 34.3550i | −0.356825 | − | 1.17629i | −0.933275 | − | 0.359162i | \(-0.883063\pi\) |
0.576450 | − | 0.817132i | \(-0.304437\pi\) | |||||||
\(854\) | 1.13383 | − | 1.03203i | 0.0387988 | − | 0.0353152i | ||||
\(855\) | 8.62000 | − | 1.71462i | 0.294798 | − | 0.0586389i | ||||
\(856\) | 13.4538 | − | 0.746668i | 0.459841 | − | 0.0255206i | ||||
\(857\) | 6.50216 | − | 32.6886i | 0.222110 | − | 1.11662i | −0.695313 | − | 0.718707i | \(-0.744734\pi\) |
0.917423 | − | 0.397914i | \(-0.130266\pi\) | |||||||
\(858\) | −47.6994 | − | 11.8408i | −1.62843 | − | 0.404237i | ||||
\(859\) | −34.9519 | − | 42.5890i | −1.19254 | − | 1.45312i | −0.860198 | − | 0.509960i | \(-0.829660\pi\) |
−0.332345 | − | 0.943158i | \(-0.607840\pi\) | |||||||
\(860\) | 10.5174 | − | 19.8787i | 0.358639 | − | 0.677858i | ||||
\(861\) | −1.65495 | + | 0.884592i | −0.0564007 | + | 0.0301468i | ||||
\(862\) | −5.91129 | + | 6.54993i | −0.201339 | + | 0.223091i | ||||
\(863\) | 16.3525 | − | 16.3525i | 0.556645 | − | 0.556645i | −0.371706 | − | 0.928351i | \(-0.621227\pi\) |
0.928351 | + | 0.371706i | \(0.121227\pi\) | |||||||
\(864\) | −1.31631 | + | 5.50157i | −0.0447819 | + | 0.187167i | ||||
\(865\) | 26.4807 | + | 26.4807i | 0.900371 | + | 0.900371i | ||||
\(866\) | −28.0597 | + | 1.43807i | −0.953507 | + | 0.0488675i | ||||
\(867\) | 0.665725 | + | 1.24548i | 0.0226092 | + | 0.0422988i | ||||
\(868\) | 4.46156 | + | 5.38970i | 0.151435 | + | 0.182938i | ||||
\(869\) | 15.4455 | − | 12.6758i | 0.523952 | − | 0.429997i | ||||
\(870\) | −13.1987 | + | 7.94904i | −0.447478 | + | 0.269498i | ||||
\(871\) | 30.7068 | + | 6.10796i | 1.04046 | + | 0.206960i | ||||
\(872\) | 13.3144 | + | 17.7161i | 0.450884 | + | 0.599941i | ||||
\(873\) | −2.73278 | − | 13.7386i | −0.0924904 | − | 0.464981i | ||||
\(874\) | 28.8271 | + | 1.35498i | 0.975091 | + | 0.0458330i | ||||
\(875\) | 9.99602 | − | 3.03226i | 0.337927 | − | 0.102509i | ||||
\(876\) | 13.2747 | − | 0.0562352i | 0.448509 | − | 0.00190001i | ||||
\(877\) | 23.5981 | + | 19.3664i | 0.796850 | + | 0.653958i | 0.942061 | − | 0.335443i | \(-0.108886\pi\) |
−0.145210 | + | 0.989401i | \(0.546386\pi\) | |||||||
\(878\) | −4.49667 | − | 0.657287i | −0.151755 | − | 0.0221824i | ||||
\(879\) | −20.6208 | + | 8.54140i | −0.695521 | + | 0.288094i | ||||
\(880\) | 63.5443 | + | 25.6924i | 2.14208 | + | 0.866089i | ||||
\(881\) | 42.7470 | + | 17.7064i | 1.44018 | + | 0.596543i | 0.959843 | − | 0.280539i | \(-0.0905133\pi\) |
0.480340 | + | 0.877082i | \(0.340513\pi\) | |||||||
\(882\) | 5.60925 | + | 3.34592i | 0.188873 | + | 0.112663i | ||||
\(883\) | −51.7505 | + | 5.09698i | −1.74154 | + | 0.171527i | −0.918227 | − | 0.396054i | \(-0.870379\pi\) |
−0.823317 | + | 0.567581i | \(0.807879\pi\) | |||||||
\(884\) | −9.12149 | + | 46.8942i | −0.306789 | + | 1.57722i | ||||
\(885\) | 30.1743 | + | 16.1285i | 1.01430 | + | 0.542153i | ||||
\(886\) | −3.12318 | − | 8.67075i | −0.104925 | − | 0.291300i | ||||
\(887\) | −34.3520 | − | 22.9533i | −1.15343 | − | 0.770696i | −0.176508 | − | 0.984299i | \(-0.556480\pi\) |
−0.976921 | + | 0.213603i | \(0.931480\pi\) | |||||||
\(888\) | 17.1898 | − | 2.66161i | 0.576852 | − | 0.0893177i | ||||
\(889\) | −10.2619 | − | 15.3580i | −0.344174 | − | 0.515092i | ||||
\(890\) | −5.67014 | − | 37.6750i | −0.190063 | − | 1.26287i | ||||
\(891\) | 0.611906 | − | 6.21278i | 0.0204996 | − | 0.208136i | ||||
\(892\) | 0.210611 | + | 2.04933i | 0.00705176 | + | 0.0686166i | ||||
\(893\) | 10.7673 | − | 35.4951i | 0.360315 | − | 1.18780i | ||||
\(894\) | 17.6610 | − | 8.39887i | 0.590673 | − | 0.280900i | ||||
\(895\) | 9.31044 | 0.311214 | ||||||||
\(896\) | 14.8411 | − | 9.19722i | 0.495807 | − | 0.307258i | ||||
\(897\) | 35.4768 | 1.18454 | ||||||||
\(898\) | 35.6776 | − | 16.9668i | 1.19058 | − | 0.566190i | ||||
\(899\) | −2.61192 | + | 8.61034i | −0.0871124 | + | 0.287171i | ||||
\(900\) | −5.04145 | + | 0.518112i | −0.168048 | + | 0.0172704i | ||||
\(901\) | −2.87146 | + | 29.1544i | −0.0956622 | + | 0.971275i | ||||
\(902\) | 1.59770 | + | 10.6158i | 0.0531975 | + | 0.353468i | ||||
\(903\) | 3.51247 | + | 5.25678i | 0.116888 | + | 0.174935i | ||||
\(904\) | −20.9027 | − | 15.2976i | −0.695213 | − | 0.508790i | ||||
\(905\) | 0.0168571 | + | 0.0112636i | 0.000560350 | + | 0.000374414i | ||||
\(906\) | 0.284911 | + | 0.790986i | 0.00946552 | + | 0.0262788i | ||||
\(907\) | 37.5926 | + | 20.0937i | 1.24824 | + | 0.667199i | 0.957177 | − | 0.289504i | \(-0.0934905\pi\) |
0.291065 | + | 0.956703i | \(0.405991\pi\) | |||||||
\(908\) | −39.9213 | − | 7.76518i | −1.32484 | − | 0.257697i | ||||
\(909\) | 11.9041 | − | 1.17246i | 0.394835 | − | 0.0388879i | ||||
\(910\) | −28.6394 | − | 17.0834i | −0.949387 | − | 0.566311i | ||||
\(911\) | −9.26150 | − | 3.83624i | −0.306847 | − | 0.127100i | 0.223946 | − | 0.974601i | \(-0.428106\pi\) |
−0.530793 | + | 0.847501i | \(0.678106\pi\) | |||||||
\(912\) | −9.13301 | − | 8.97955i | −0.302424 | − | 0.297343i | ||||
\(913\) | −69.3441 | + | 28.7233i | −2.29495 | + | 0.950601i | ||||
\(914\) | 40.0036 | + | 5.84741i | 1.32320 | + | 0.193415i | ||||
\(915\) | 1.49053 | + | 1.22325i | 0.0492753 | + | 0.0404392i | ||||
\(916\) | −0.0629419 | − | 14.8578i | −0.00207966 | − | 0.490916i | ||||
\(917\) | 1.20339 | − | 0.365045i | 0.0397395 | − | 0.0120548i | ||||
\(918\) | −6.06162 | − | 0.284920i | −0.200063 | − | 0.00940375i | ||||
\(919\) | 8.04777 | + | 40.4589i | 0.265472 | + | 1.33462i | 0.851513 | + | 0.524334i | \(0.175686\pi\) |
−0.586041 | + | 0.810281i | \(0.699314\pi\) | |||||||
\(920\) | −48.9866 | − | 6.94864i | −1.61504 | − | 0.229090i | ||||
\(921\) | −9.62558 | − | 1.91465i | −0.317174 | − | 0.0630898i | ||||
\(922\) | 12.1450 | − | 7.31442i | 0.399973 | − | 0.240888i | ||||
\(923\) | −21.0167 | + | 17.2480i | −0.691774 | + | 0.567724i | ||||
\(924\) | −14.8429 | + | 12.2868i | −0.488294 | + | 0.404207i | ||||
\(925\) | 7.34621 | + | 13.7438i | 0.241542 | + | 0.451893i | ||||
\(926\) | 24.9283 | − | 1.27758i | 0.819195 | − | 0.0419840i | ||||
\(927\) | −9.70926 | − | 9.70926i | −0.318894 | − | 0.318894i | ||||
\(928\) | 20.3981 | + | 9.38454i | 0.669601 | + | 0.308063i | ||||
\(929\) | 15.4667 | − | 15.4667i | 0.507446 | − | 0.507446i | −0.406296 | − | 0.913742i | \(-0.633180\pi\) |
0.913742 | + | 0.406296i | \(0.133180\pi\) | |||||||
\(930\) | −5.89555 | + | 6.53249i | −0.193323 | + | 0.214209i | ||||
\(931\) | −13.0419 | + | 6.97102i | −0.427430 | + | 0.228466i | ||||
\(932\) | 42.6657 | + | 22.5734i | 1.39756 | + | 0.739418i | ||||
\(933\) | 15.4947 | + | 18.8804i | 0.507274 | + | 0.618115i | ||||
\(934\) | −8.84968 | − | 2.19682i | −0.289570 | − | 0.0718821i | ||||
\(935\) | −14.3445 | + | 72.1145i | −0.469114 | + | 2.35840i | ||||
\(936\) | −11.7333 | − | 10.4994i | −0.383515 | − | 0.343184i | ||||
\(937\) | 26.5653 | − | 5.28416i | 0.867850 | − | 0.172626i | 0.258967 | − | 0.965886i | \(-0.416618\pi\) |
0.608883 | + | 0.793260i | \(0.291618\pi\) | |||||||
\(938\) | 9.07749 | − | 8.26245i | 0.296391 | − | 0.269779i | ||||
\(939\) | 0.139946 | + | 0.461340i | 0.00456697 | + | 0.0150553i | ||||
\(940\) | −24.0867 | + | 58.8544i | −0.785622 | + | 1.91962i | ||||
\(941\) | −24.5643 | + | 29.9317i | −0.800772 | + | 0.975744i | −0.999991 | − | 0.00421106i | \(-0.998660\pi\) |
0.199219 | + | 0.979955i | \(0.436160\pi\) | |||||||
\(942\) | 0.802642 | + | 1.07746i | 0.0261515 | + | 0.0351056i | ||||
\(943\) | −2.96555 | − | 7.15946i | −0.0965714 | − | 0.233144i | ||||
\(944\) | −5.30738 | − | 49.5769i | −0.172741 | − | 1.61359i | ||||
\(945\) | 1.62102 | − | 3.91349i | 0.0527318 | − | 0.127306i | ||||
\(946\) | 35.0662 | − | 8.86261i | 1.14010 | − | 0.288148i | ||||
\(947\) | 5.01047 | + | 50.8722i | 0.162819 | + | 1.65312i | 0.635654 | + | 0.771974i | \(0.280730\pi\) |
−0.472836 | + | 0.881151i | \(0.656770\pi\) | |||||||
\(948\) | 6.27289 | − | 1.27540i | 0.203734 | − | 0.0414232i | ||||
\(949\) | −17.4174 | + | 32.5857i | −0.565394 | + | 1.05778i | ||||
\(950\) | 4.88409 | − | 10.3834i | 0.158461 | − | 0.336882i | ||||
\(951\) | −9.44040 | + | 14.1286i | −0.306126 | + | 0.458150i | ||||
\(952\) | 12.6661 | + | 13.7977i | 0.410512 | + | 0.447186i | ||||
\(953\) | 13.2818 | − | 8.87461i | 0.430239 | − | 0.287477i | −0.321534 | − | 0.946898i | \(-0.604199\pi\) |
0.751774 | + | 0.659421i | \(0.229199\pi\) | |||||||
\(954\) | −7.76732 | − | 5.73517i | −0.251476 | − | 0.185683i | ||||
\(955\) | 60.0092 | + | 5.91039i | 1.94185 | + | 0.191256i | ||||
\(956\) | 3.48625 | − | 11.6704i | 0.112753 | − | 0.377447i | ||||
\(957\) | −23.7123 | − | 7.19305i | −0.766510 | − | 0.232518i | ||||
\(958\) | −2.89962 | − | 1.03058i | −0.0936825 | − | 0.0332965i | ||||
\(959\) | − | 23.5779i | − | 0.761369i | ||||||
\(960\) | 14.1449 | + | 16.7958i | 0.456525 | + | 0.542081i | ||||
\(961\) | − | 25.8612i | − | 0.834233i | ||||||
\(962\) | −16.2141 | + | 45.6199i | −0.522765 | + | 1.47084i | ||||
\(963\) | −4.55882 | − | 1.38290i | −0.146906 | − | 0.0445635i | ||||
\(964\) | −35.5982 | + | 19.2220i | −1.14654 | + | 0.619097i | ||||
\(965\) | −38.1914 | − | 3.76152i | −1.22942 | − | 0.121088i | ||||
\(966\) | 8.26190 | − | 11.1893i | 0.265822 | − | 0.360011i | ||||
\(967\) | 19.9115 | − | 13.3044i | 0.640309 | − | 0.427841i | −0.192580 | − | 0.981281i | \(-0.561685\pi\) |
0.832889 | + | 0.553440i | \(0.186685\pi\) | |||||||
\(968\) | 27.1275 | + | 74.3240i | 0.871912 | + | 2.38886i | ||||
\(969\) | 7.63331 | − | 11.4240i | 0.245217 | − | 0.366993i | ||||
\(970\) | −49.2032 | − | 23.1440i | −1.57982 | − | 0.743108i | ||||
\(971\) | −12.0623 | + | 22.5669i | −0.387096 | + | 0.724206i | −0.997704 | − | 0.0677274i | \(-0.978425\pi\) |
0.610608 | + | 0.791933i | \(0.290925\pi\) | |||||||
\(972\) | 1.10409 | − | 1.66763i | 0.0354136 | − | 0.0534893i | ||||
\(973\) | −2.89250 | − | 29.3680i | −0.0927293 | − | 0.941496i | ||||
\(974\) | −0.780653 | − | 3.08877i | −0.0250137 | − | 0.0989706i | ||||
\(975\) | 5.39817 | − | 13.0323i | 0.172880 | − | 0.417368i | ||||
\(976\) | 0.251723 | − | 2.79868i | 0.00805746 | − | 0.0895834i | ||||
\(977\) | −6.95069 | − | 16.7804i | −0.222372 | − | 0.536854i | 0.772839 | − | 0.634602i | \(-0.218836\pi\) |
−0.995211 | + | 0.0977483i | \(0.968836\pi\) | |||||||
\(978\) | 9.33600 | − | 6.95475i | 0.298532 | − | 0.222388i | ||||
\(979\) | 38.8714 | − | 47.3649i | 1.24233 | − | 1.51379i | ||||
\(980\) | 23.3820 | − | 9.80138i | 0.746910 | − | 0.313094i | ||||
\(981\) | −2.27446 | − | 7.49790i | −0.0726180 | − | 0.239389i | ||||
\(982\) | −37.9831 | − | 41.7299i | −1.21209 | − | 1.33166i | ||||
\(983\) | 25.9639 | − | 5.16453i | 0.828118 | − | 0.164723i | 0.237207 | − | 0.971459i | \(-0.423768\pi\) |
0.590912 | + | 0.806736i | \(0.298768\pi\) | |||||||
\(984\) | −1.13805 | + | 3.24551i | −0.0362798 | + | 0.103463i | ||||
\(985\) | −11.4085 | + | 57.3544i | −0.363505 | + | 1.82746i | ||||
\(986\) | −5.80305 | + | 23.3770i | −0.184807 | + | 0.744477i | ||||
\(987\) | −11.3412 | − | 13.8193i | −0.360994 | − | 0.439872i | ||||
\(988\) | 34.0701 | − | 10.4929i | 1.08391 | − | 0.333822i | ||||
\(989\) | −23.0256 | + | 12.3075i | −0.732173 | + | 0.391354i | ||||
\(990\) | −17.9900 | − | 16.2359i | −0.571761 | − | 0.516012i | ||||
\(991\) | −20.6360 | + | 20.6360i | −0.655523 | + | 0.655523i | −0.954318 | − | 0.298794i | \(-0.903416\pi\) |
0.298794 | + | 0.954318i | \(0.403416\pi\) | |||||||
\(992\) | 12.7039 | + | 1.74715i | 0.403348 | + | 0.0554720i | ||||
\(993\) | 12.6453 | + | 12.6453i | 0.401287 | + | 0.401287i | ||||
\(994\) | 0.545579 | + | 10.6454i | 0.0173047 | + | 0.337651i | ||||
\(995\) | −28.2822 | − | 52.9122i | −0.896605 | − | 1.67743i | ||||
\(996\) | −23.9399 | − | 2.25552i | −0.758565 | − | 0.0714688i | ||||
\(997\) | 6.72010 | − | 5.51504i | 0.212828 | − | 0.174663i | −0.521940 | − | 0.852982i | \(-0.674791\pi\) |
0.734767 | + | 0.678319i | \(0.237291\pi\) | |||||||
\(998\) | 14.5881 | + | 24.2222i | 0.461777 | + | 0.766741i | ||||
\(999\) | −6.03176 | − | 1.19979i | −0.190837 | − | 0.0379597i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 384.2.v.a.325.12 | yes | 512 | |
128.13 | even | 32 | inner | 384.2.v.a.13.12 | ✓ | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.v.a.13.12 | ✓ | 512 | 128.13 | even | 32 | inner | |
384.2.v.a.325.12 | yes | 512 | 1.1 | even | 1 | trivial |