Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,2,Mod(5,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.j (of order \(22\), degree \(10\), 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: | \(1.60499308063\) |
Analytic rank: | \(0\) |
Dimension: | \(200\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 161.8 | ||
Character | \(\chi\) | \(=\) | 201.161 |
Dual form | 201.2.j.a.5.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{17}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.422797 | − | 0.487934i | −0.298963 | − | 0.345021i | 0.586316 | − | 0.810082i | \(-0.300578\pi\) |
−0.885278 | + | 0.465061i | \(0.846032\pi\) | |||||||
\(3\) | −0.589489 | − | 1.62865i | −0.340342 | − | 0.940302i | ||||
\(4\) | 0.225308 | − | 1.56705i | 0.112654 | − | 0.783525i | ||||
\(5\) | 1.17382 | + | 0.344663i | 0.524946 | + | 0.154138i | 0.533459 | − | 0.845826i | \(-0.320892\pi\) |
−0.00851328 | + | 0.999964i | \(0.502710\pi\) | |||||||
\(6\) | −0.545439 | + | 0.976220i | −0.222675 | + | 0.398540i | ||||
\(7\) | 2.44605 | − | 2.11952i | 0.924521 | − | 0.801102i | −0.0558139 | − | 0.998441i | \(-0.517775\pi\) |
0.980335 | + | 0.197339i | \(0.0632299\pi\) | |||||||
\(8\) | −1.94615 | + | 1.25071i | −0.688068 | + | 0.442194i | ||||
\(9\) | −2.30500 | + | 1.92014i | −0.768335 | + | 0.640048i | ||||
\(10\) | −0.328113 | − | 0.718466i | −0.103758 | − | 0.227199i | ||||
\(11\) | −0.398272 | − | 0.116943i | −0.120084 | − | 0.0352597i | 0.221139 | − | 0.975242i | \(-0.429023\pi\) |
−0.341222 | + | 0.939983i | \(0.610841\pi\) | |||||||
\(12\) | −2.68499 | + | 0.556812i | −0.775090 | + | 0.160738i | ||||
\(13\) | 0.261305 | − | 0.406599i | 0.0724730 | − | 0.112770i | −0.803125 | − | 0.595810i | \(-0.796831\pi\) |
0.875598 | + | 0.483040i | \(0.160467\pi\) | |||||||
\(14\) | −2.06837 | − | 0.297386i | −0.552795 | − | 0.0794799i | ||||
\(15\) | −0.130616 | − | 2.11491i | −0.0337248 | − | 0.546067i | ||||
\(16\) | −1.60498 | − | 0.471264i | −0.401244 | − | 0.117816i | ||||
\(17\) | −3.72444 | + | 0.535493i | −0.903308 | + | 0.129876i | −0.578290 | − | 0.815832i | \(-0.696280\pi\) |
−0.325019 | + | 0.945708i | \(0.605371\pi\) | |||||||
\(18\) | 1.91145 | + | 0.312858i | 0.450533 | + | 0.0737413i | ||||
\(19\) | 0.610142 | − | 0.704141i | 0.139976 | − | 0.161541i | −0.681433 | − | 0.731881i | \(-0.738643\pi\) |
0.821409 | + | 0.570340i | \(0.193188\pi\) | |||||||
\(20\) | 0.804574 | − | 1.76177i | 0.179908 | − | 0.393944i | ||||
\(21\) | −4.89388 | − | 2.73433i | −1.06793 | − | 0.596680i | ||||
\(22\) | 0.111328 | + | 0.243774i | 0.0237352 | + | 0.0519727i | ||||
\(23\) | 5.29383 | + | 2.41761i | 1.10384 | + | 0.504107i | 0.882130 | − | 0.471006i | \(-0.156109\pi\) |
0.221710 | + | 0.975113i | \(0.428836\pi\) | |||||||
\(24\) | 3.18421 | + | 2.43232i | 0.649975 | + | 0.496494i | ||||
\(25\) | −2.94722 | − | 1.89406i | −0.589444 | − | 0.378812i | ||||
\(26\) | −0.308872 | + | 0.0444091i | −0.0605748 | + | 0.00870934i | ||||
\(27\) | 4.48602 | + | 2.62214i | 0.863335 | + | 0.504631i | ||||
\(28\) | −2.77027 | − | 4.31063i | −0.523533 | − | 0.814633i | ||||
\(29\) | − | 3.04202i | − | 0.564888i | −0.959284 | − | 0.282444i | \(-0.908855\pi\) | ||
0.959284 | − | 0.282444i | \(-0.0911452\pi\) | |||||||
\(30\) | −0.976712 | + | 0.957909i | −0.178322 | + | 0.174889i | ||||
\(31\) | 3.37725 | + | 5.25511i | 0.606572 | + | 0.943845i | 0.999703 | + | 0.0243623i | \(0.00775553\pi\) |
−0.393131 | + | 0.919482i | \(0.628608\pi\) | |||||||
\(32\) | 2.37067 | + | 5.19104i | 0.419079 | + | 0.917656i | ||||
\(33\) | 0.0443176 | + | 0.717583i | 0.00771470 | + | 0.124915i | ||||
\(34\) | 1.83596 | + | 1.59087i | 0.314865 | + | 0.272832i | ||||
\(35\) | 3.60174 | − | 1.64486i | 0.608804 | − | 0.278032i | ||||
\(36\) | 2.48963 | + | 4.04468i | 0.414938 | + | 0.674113i | ||||
\(37\) | 9.29615 | 1.52828 | 0.764139 | − | 0.645052i | \(-0.223164\pi\) | ||||
0.764139 | + | 0.645052i | \(0.223164\pi\) | |||||||
\(38\) | −0.601540 | −0.0975827 | ||||||||
\(39\) | −0.816244 | − | 0.185889i | −0.130704 | − | 0.0297661i | ||||
\(40\) | −2.71550 | + | 0.797342i | −0.429358 | + | 0.126071i | ||||
\(41\) | −0.592240 | − | 4.11912i | −0.0924924 | − | 0.643299i | −0.982349 | − | 0.187058i | \(-0.940105\pi\) |
0.889856 | − | 0.456241i | \(-0.150804\pi\) | |||||||
\(42\) | 0.734942 | + | 3.54395i | 0.113404 | + | 0.546844i | ||||
\(43\) | −2.27668 | + | 0.327337i | −0.347190 | + | 0.0499184i | −0.313704 | − | 0.949521i | \(-0.601570\pi\) |
−0.0334861 | + | 0.999439i | \(0.510661\pi\) | |||||||
\(44\) | −0.272990 | + | 0.597764i | −0.0411548 | + | 0.0901164i | ||||
\(45\) | −3.36745 | + | 1.45944i | −0.501990 | + | 0.217561i | ||||
\(46\) | −1.05858 | − | 3.60520i | −0.156079 | − | 0.531557i | ||||
\(47\) | 8.54576 | + | 3.90272i | 1.24653 | + | 0.569270i | 0.925840 | − | 0.377915i | \(-0.123359\pi\) |
0.320687 | + | 0.947185i | \(0.396086\pi\) | |||||||
\(48\) | 0.178593 | + | 2.89175i | 0.0257777 | + | 0.417388i | ||||
\(49\) | 0.494620 | − | 3.44016i | 0.0706600 | − | 0.491451i | ||||
\(50\) | 0.321898 | + | 2.23885i | 0.0455233 | + | 0.316621i | ||||
\(51\) | 3.06765 | + | 5.75014i | 0.429556 | + | 0.805180i | ||||
\(52\) | −0.578286 | − | 0.501088i | −0.0801939 | − | 0.0694884i | ||||
\(53\) | 0.172073 | − | 1.19679i | 0.0236360 | − | 0.164392i | −0.974585 | − | 0.224019i | \(-0.928082\pi\) |
0.998221 | + | 0.0596272i | \(0.0189912\pi\) | |||||||
\(54\) | −0.617244 | − | 3.29751i | −0.0839963 | − | 0.448735i | ||||
\(55\) | −0.427192 | − | 0.274540i | −0.0576026 | − | 0.0370189i | ||||
\(56\) | −2.10948 | + | 7.18422i | −0.281891 | + | 0.960031i | ||||
\(57\) | −1.50647 | − | 0.578624i | −0.199537 | − | 0.0766406i | ||||
\(58\) | −1.48430 | + | 1.28616i | −0.194898 | + | 0.168880i | ||||
\(59\) | −6.53722 | − | 10.1721i | −0.851073 | − | 1.32430i | −0.944447 | − | 0.328664i | \(-0.893402\pi\) |
0.0933739 | − | 0.995631i | \(-0.470235\pi\) | |||||||
\(60\) | −3.34360 | − | 0.271824i | −0.431657 | − | 0.0350923i | ||||
\(61\) | 2.63996 | + | 8.99088i | 0.338012 | + | 1.15116i | 0.936686 | + | 0.350171i | \(0.113877\pi\) |
−0.598673 | + | 0.800993i | \(0.704305\pi\) | |||||||
\(62\) | 1.13625 | − | 3.86972i | 0.144304 | − | 0.491454i | ||||
\(63\) | −1.56838 | + | 9.58227i | −0.197598 | + | 1.20725i | ||||
\(64\) | 0.140815 | − | 0.308341i | 0.0176018 | − | 0.0385426i | ||||
\(65\) | 0.446864 | − | 0.387209i | 0.0554266 | − | 0.0480274i | ||||
\(66\) | 0.331396 | − | 0.325016i | 0.0407920 | − | 0.0400067i | ||||
\(67\) | −2.78399 | + | 7.69736i | −0.340119 | + | 0.940382i | ||||
\(68\) | 5.95702i | 0.722395i | ||||||||
\(69\) | 0.816787 | − | 10.0470i | 0.0983296 | − | 1.20951i | ||||
\(70\) | −2.32538 | − | 1.06197i | −0.277936 | − | 0.126929i | ||||
\(71\) | 1.95942 | + | 0.281722i | 0.232541 | + | 0.0334343i | 0.257600 | − | 0.966252i | \(-0.417068\pi\) |
−0.0250592 | + | 0.999686i | \(0.507977\pi\) | |||||||
\(72\) | 2.08433 | − | 6.61979i | 0.245641 | − | 0.780150i | ||||
\(73\) | 9.73354 | − | 2.85803i | 1.13923 | − | 0.334507i | 0.342898 | − | 0.939373i | \(-0.388591\pi\) |
0.796327 | + | 0.604866i | \(0.206773\pi\) | |||||||
\(74\) | −3.93038 | − | 4.53590i | −0.456898 | − | 0.527288i | ||||
\(75\) | −1.34741 | + | 5.91652i | −0.155586 | + | 0.683181i | ||||
\(76\) | −0.965954 | − | 1.11477i | −0.110803 | − | 0.127873i | ||||
\(77\) | −1.22206 | + | 0.558096i | −0.139267 | + | 0.0636009i | ||||
\(78\) | 0.254404 | + | 0.476866i | 0.0288056 | + | 0.0539944i | ||||
\(79\) | 3.40121 | − | 5.29238i | 0.382666 | − | 0.595439i | −0.595478 | − | 0.803372i | \(-0.703037\pi\) |
0.978143 | + | 0.207933i | \(0.0666735\pi\) | |||||||
\(80\) | −1.72152 | − | 1.10635i | −0.192472 | − | 0.123694i | ||||
\(81\) | 1.62609 | − | 8.85188i | 0.180677 | − | 0.983543i | ||||
\(82\) | −1.75946 | + | 2.03053i | −0.194300 | + | 0.224234i | ||||
\(83\) | 4.08526 | − | 13.9131i | 0.448415 | − | 1.52716i | −0.356801 | − | 0.934180i | \(-0.616133\pi\) |
0.805216 | − | 0.592981i | \(-0.202049\pi\) | |||||||
\(84\) | −5.38746 | + | 7.05288i | −0.587820 | + | 0.769532i | ||||
\(85\) | −4.55636 | − | 0.655106i | −0.494207 | − | 0.0710562i | ||||
\(86\) | 1.12229 | + | 0.972471i | 0.121020 | + | 0.104864i | ||||
\(87\) | −4.95438 | + | 1.79324i | −0.531166 | + | 0.192255i | ||||
\(88\) | 0.921361 | − | 0.270536i | 0.0982174 | − | 0.0288392i | ||||
\(89\) | −13.0648 | + | 5.96650i | −1.38487 | + | 0.632448i | −0.961826 | − | 0.273662i | \(-0.911765\pi\) |
−0.423042 | + | 0.906110i | \(0.639038\pi\) | |||||||
\(90\) | 2.13586 | + | 1.02604i | 0.225139 | + | 0.108155i | ||||
\(91\) | −0.222627 | − | 1.54840i | −0.0233376 | − | 0.162317i | ||||
\(92\) | 4.98126 | − | 7.75099i | 0.519332 | − | 0.808097i | ||||
\(93\) | 6.56788 | − | 8.59819i | 0.681057 | − | 0.891591i | ||||
\(94\) | −1.70885 | − | 5.81982i | −0.176255 | − | 0.600269i | ||||
\(95\) | 0.958885 | − | 0.616238i | 0.0983795 | − | 0.0632247i | ||||
\(96\) | 7.05691 | − | 6.92106i | 0.720243 | − | 0.706378i | ||||
\(97\) | 2.68340i | 0.272458i | 0.990677 | + | 0.136229i | \(0.0434983\pi\) | ||||
−0.990677 | + | 0.136229i | \(0.956502\pi\) | |||||||
\(98\) | −1.88769 | + | 1.21315i | −0.190686 | + | 0.122546i | ||||
\(99\) | 1.14257 | − | 0.495186i | 0.114832 | − | 0.0497680i | ||||
\(100\) | −3.63212 | + | 4.19169i | −0.363212 | + | 0.419169i | ||||
\(101\) | 3.23001 | − | 3.72763i | 0.321398 | − | 0.370913i | −0.571942 | − | 0.820294i | \(-0.693810\pi\) |
0.893340 | + | 0.449381i | \(0.148355\pi\) | |||||||
\(102\) | 1.50869 | − | 3.92795i | 0.149383 | − | 0.388925i | ||||
\(103\) | −9.66677 | + | 6.21246i | −0.952495 | + | 0.612132i | −0.921911 | − | 0.387401i | \(-0.873373\pi\) |
−0.0305838 | + | 0.999532i | \(0.509737\pi\) | |||||||
\(104\) | 1.11812i | 0.109641i | ||||||||
\(105\) | −4.80208 | − | 4.89634i | −0.468635 | − | 0.477834i | ||||
\(106\) | −0.656708 | + | 0.422040i | −0.0637851 | + | 0.0409922i | ||||
\(107\) | 5.60705 | + | 19.0959i | 0.542054 | + | 1.84607i | 0.533011 | + | 0.846108i | \(0.321060\pi\) |
0.00904297 | + | 0.999959i | \(0.497121\pi\) | |||||||
\(108\) | 5.11976 | − | 6.43903i | 0.492649 | − | 0.619596i | ||||
\(109\) | 1.86305 | − | 2.89896i | 0.178448 | − | 0.277670i | −0.740494 | − | 0.672062i | \(-0.765409\pi\) |
0.918942 | + | 0.394393i | \(0.129045\pi\) | |||||||
\(110\) | 0.0466583 | + | 0.324516i | 0.00444870 | + | 0.0309414i | ||||
\(111\) | −5.47998 | − | 15.1402i | −0.520137 | − | 1.43704i | ||||
\(112\) | −4.92471 | + | 2.24904i | −0.465342 | + | 0.212514i | ||||
\(113\) | −19.2643 | + | 5.65650i | −1.81223 | + | 0.532119i | −0.998774 | − | 0.0495059i | \(-0.984235\pi\) |
−0.813457 | + | 0.581625i | \(0.802417\pi\) | |||||||
\(114\) | 0.354601 | + | 0.979698i | 0.0332115 | + | 0.0917572i | ||||
\(115\) | 5.38072 | + | 4.66242i | 0.501755 | + | 0.434773i | ||||
\(116\) | −4.76699 | − | 0.685390i | −0.442604 | − | 0.0636368i | ||||
\(117\) | 0.178419 | + | 1.43896i | 0.0164948 | + | 0.133031i | ||||
\(118\) | −2.19940 | + | 7.49046i | −0.202471 | + | 0.689553i | ||||
\(119\) | −7.97518 | + | 9.20385i | −0.731084 | + | 0.843716i | ||||
\(120\) | 2.89935 | + | 3.95257i | 0.264673 | + | 0.360819i | ||||
\(121\) | −9.10884 | − | 5.85390i | −0.828077 | − | 0.532173i | ||||
\(122\) | 3.27079 | − | 5.08944i | 0.296123 | − | 0.460776i | ||||
\(123\) | −6.35949 | + | 3.39273i | −0.573416 | + | 0.305912i | ||||
\(124\) | 8.99593 | − | 4.10830i | 0.807858 | − | 0.368937i | ||||
\(125\) | −6.81236 | − | 7.86188i | −0.609316 | − | 0.703188i | ||||
\(126\) | 5.33862 | − | 3.28609i | 0.475602 | − | 0.292748i | ||||
\(127\) | −2.44191 | − | 2.81811i | −0.216684 | − | 0.250067i | 0.636993 | − | 0.770870i | \(-0.280178\pi\) |
−0.853677 | + | 0.520803i | \(0.825633\pi\) | |||||||
\(128\) | 10.7412 | − | 3.15390i | 0.949396 | − | 0.278768i | ||||
\(129\) | 1.87520 | + | 3.51495i | 0.165102 | + | 0.309474i | ||||
\(130\) | −0.377865 | − | 0.0543288i | −0.0331410 | − | 0.00476495i | ||||
\(131\) | 4.71771 | + | 2.15450i | 0.412188 | + | 0.188240i | 0.610706 | − | 0.791857i | \(-0.290886\pi\) |
−0.198518 | + | 0.980097i | \(0.563613\pi\) | |||||||
\(132\) | 1.13447 | + | 0.0922292i | 0.0987433 | + | 0.00802752i | ||||
\(133\) | − | 3.01557i | − | 0.261483i | ||||||
\(134\) | 4.93287 | − | 1.89602i | 0.426135 | − | 0.163791i | ||||
\(135\) | 4.36200 | + | 4.62408i | 0.375421 | + | 0.397977i | ||||
\(136\) | 6.57856 | − | 5.70036i | 0.564107 | − | 0.488801i | ||||
\(137\) | −2.57439 | + | 5.63712i | −0.219945 | + | 0.481612i | −0.987151 | − | 0.159788i | \(-0.948919\pi\) |
0.767207 | + | 0.641400i | \(0.221646\pi\) | |||||||
\(138\) | −5.24758 | + | 3.84929i | −0.446704 | + | 0.327673i | ||||
\(139\) | −1.29439 | + | 4.40829i | −0.109789 | + | 0.373907i | −0.995998 | − | 0.0893796i | \(-0.971512\pi\) |
0.886209 | + | 0.463286i | \(0.153330\pi\) | |||||||
\(140\) | −1.76607 | − | 6.01470i | −0.149260 | − | 0.508335i | ||||
\(141\) | 1.31853 | − | 16.2187i | 0.111040 | − | 1.36586i | ||||
\(142\) | −0.690976 | − | 1.07518i | −0.0579854 | − | 0.0902271i | ||||
\(143\) | −0.151620 | + | 0.131379i | −0.0126791 | + | 0.0109865i | ||||
\(144\) | 4.60437 | − | 1.99552i | 0.383698 | − | 0.166294i | ||||
\(145\) | 1.04847 | − | 3.57077i | 0.0870708 | − | 0.296536i | ||||
\(146\) | −5.50984 | − | 3.54096i | −0.455998 | − | 0.293052i | ||||
\(147\) | −5.89439 | + | 1.22237i | −0.486161 | + | 0.100820i | ||||
\(148\) | 2.09449 | − | 14.5675i | 0.172166 | − | 1.19744i | ||||
\(149\) | −2.07326 | − | 1.79649i | −0.169848 | − | 0.147174i | 0.565789 | − | 0.824550i | \(-0.308572\pi\) |
−0.735637 | + | 0.677376i | \(0.763117\pi\) | |||||||
\(150\) | 3.45655 | − | 1.84404i | 0.282226 | − | 0.150565i | ||||
\(151\) | 1.37208 | + | 9.54300i | 0.111658 | + | 0.776598i | 0.966307 | + | 0.257392i | \(0.0828632\pi\) |
−0.854649 | + | 0.519206i | \(0.826228\pi\) | |||||||
\(152\) | −0.306748 | + | 2.13348i | −0.0248805 | + | 0.173048i | ||||
\(153\) | 7.55662 | − | 8.38577i | 0.610916 | − | 0.677949i | ||||
\(154\) | 0.788996 | + | 0.360323i | 0.0635791 | + | 0.0290356i | ||||
\(155\) | 2.15303 | + | 7.33254i | 0.172935 | + | 0.588964i | ||||
\(156\) | −0.475203 | + | 1.23721i | −0.0380467 | + | 0.0990562i | ||||
\(157\) | −7.44888 | + | 16.3108i | −0.594485 | + | 1.30174i | 0.338208 | + | 0.941071i | \(0.390179\pi\) |
−0.932693 | + | 0.360670i | \(0.882548\pi\) | |||||||
\(158\) | −4.02035 | + | 0.578039i | −0.319842 | + | 0.0459863i | ||||
\(159\) | −2.05059 | + | 0.425251i | −0.162623 | + | 0.0337246i | ||||
\(160\) | 0.993567 | + | 6.91041i | 0.0785484 | + | 0.546316i | ||||
\(161\) | 18.0732 | − | 5.30676i | 1.42437 | − | 0.418231i | ||||
\(162\) | −5.00664 | + | 2.94912i | −0.393359 | + | 0.231705i | ||||
\(163\) | 1.07712 | 0.0843668 | 0.0421834 | − | 0.999110i | \(-0.486569\pi\) | ||||
0.0421834 | + | 0.999110i | \(0.486569\pi\) | |||||||
\(164\) | −6.58830 | −0.514460 | ||||||||
\(165\) | −0.195304 | + | 0.857585i | −0.0152044 | + | 0.0667629i | ||||
\(166\) | −8.51590 | + | 3.88908i | −0.660962 | + | 0.301851i | ||||
\(167\) | 16.3329 | + | 14.1525i | 1.26388 | + | 1.09516i | 0.991106 | + | 0.133077i | \(0.0424859\pi\) |
0.272772 | + | 0.962079i | \(0.412060\pi\) | |||||||
\(168\) | 12.9441 | − | 0.799420i | 0.998658 | − | 0.0616766i | ||||
\(169\) | 5.30335 | + | 11.6127i | 0.407950 | + | 0.893286i | ||||
\(170\) | 1.60677 | + | 2.50018i | 0.123233 | + | 0.191755i | ||||
\(171\) | −0.0543267 | + | 2.79461i | −0.00415447 | + | 0.213709i | ||||
\(172\) | 3.64142i | 0.277656i | ||||||||
\(173\) | 7.55364 | + | 11.7537i | 0.574292 | + | 0.893616i | 0.999936 | − | 0.0112742i | \(-0.00358877\pi\) |
−0.425644 | + | 0.904891i | \(0.639952\pi\) | |||||||
\(174\) | 2.96968 | + | 1.65923i | 0.225131 | + | 0.125786i | ||||
\(175\) | −11.2236 | + | 1.61370i | −0.848421 | + | 0.121985i | ||||
\(176\) | 0.584107 | + | 0.375383i | 0.0440287 | + | 0.0282955i | ||||
\(177\) | −12.7132 | + | 16.6432i | −0.955581 | + | 1.25098i | ||||
\(178\) | 8.43502 | + | 3.85214i | 0.632231 | + | 0.288730i | ||||
\(179\) | −0.945048 | − | 2.06937i | −0.0706362 | − | 0.154672i | 0.871020 | − | 0.491247i | \(-0.163459\pi\) |
−0.941657 | + | 0.336575i | \(0.890731\pi\) | |||||||
\(180\) | 1.52831 | + | 5.60579i | 0.113913 | + | 0.417831i | ||||
\(181\) | −1.24434 | + | 2.72472i | −0.0924909 | + | 0.202527i | −0.950223 | − | 0.311569i | \(-0.899145\pi\) |
0.857732 | + | 0.514096i | \(0.171873\pi\) | |||||||
\(182\) | −0.661392 | + | 0.763287i | −0.0490256 | + | 0.0565786i | ||||
\(183\) | 13.0868 | − | 9.59960i | 0.967402 | − | 0.709623i | ||||
\(184\) | −13.3263 | + | 1.91604i | −0.982431 | + | 0.141252i | ||||
\(185\) | 10.9120 | + | 3.20404i | 0.802263 | + | 0.235566i | ||||
\(186\) | −6.97222 | + | 0.430601i | −0.511228 | + | 0.0315732i | ||||
\(187\) | 1.54596 | + | 0.222276i | 0.113052 | + | 0.0162544i | ||||
\(188\) | 8.04118 | − | 12.5123i | 0.586463 | − | 0.912554i | ||||
\(189\) | 16.5307 | − | 3.09430i | 1.20243 | − | 0.225077i | ||||
\(190\) | −0.706097 | − | 0.207329i | −0.0512256 | − | 0.0150412i | ||||
\(191\) | −7.94547 | − | 17.3982i | −0.574914 | − | 1.25889i | −0.944139 | − | 0.329546i | \(-0.893104\pi\) |
0.369225 | − | 0.929340i | \(-0.379623\pi\) | |||||||
\(192\) | −0.585188 | − | 0.0475740i | −0.0422323 | − | 0.00343336i | ||||
\(193\) | −14.4457 | + | 9.28371i | −1.03983 | + | 0.668256i | −0.944944 | − | 0.327232i | \(-0.893884\pi\) |
−0.0948832 | + | 0.995488i | \(0.530248\pi\) | |||||||
\(194\) | 1.30932 | − | 1.13453i | 0.0940039 | − | 0.0814548i | ||||
\(195\) | −0.894050 | − | 0.499529i | −0.0640243 | − | 0.0357720i | ||||
\(196\) | −5.27946 | − | 1.55019i | −0.377104 | − | 0.110728i | ||||
\(197\) | −0.839418 | + | 5.83828i | −0.0598060 | + | 0.415960i | 0.937822 | + | 0.347118i | \(0.112840\pi\) |
−0.997628 | + | 0.0688423i | \(0.978069\pi\) | |||||||
\(198\) | −0.724692 | − | 0.348134i | −0.0515016 | − | 0.0247408i | ||||
\(199\) | −0.778972 | − | 0.898982i | −0.0552199 | − | 0.0637271i | 0.727468 | − | 0.686142i | \(-0.240697\pi\) |
−0.782688 | + | 0.622415i | \(0.786152\pi\) | |||||||
\(200\) | 8.10466 | 0.573086 | ||||||||
\(201\) | 14.1774 | − | 0.00336026i | 1.00000 | − | 0.000237014i | ||||
\(202\) | −3.18448 | −0.224059 | ||||||||
\(203\) | −6.44761 | − | 7.44094i | −0.452533 | − | 0.522251i | ||||
\(204\) | 9.70191 | − | 3.51160i | 0.679270 | − | 0.245861i | ||||
\(205\) | 0.724529 | − | 5.03921i | 0.0506033 | − | 0.351954i | ||||
\(206\) | 7.11835 | + | 2.09014i | 0.495959 | + | 0.145627i | ||||
\(207\) | −16.8445 | + | 4.59232i | −1.17077 | + | 0.319188i | ||||
\(208\) | −0.611004 | + | 0.529438i | −0.0423655 | + | 0.0367099i | ||||
\(209\) | −0.325347 | + | 0.209088i | −0.0225047 | + | 0.0144629i | ||||
\(210\) | −0.358784 | + | 4.41325i | −0.0247584 | + | 0.304544i | ||||
\(211\) | 1.92565 | + | 4.21658i | 0.132567 | + | 0.290281i | 0.964262 | − | 0.264952i | \(-0.0853562\pi\) |
−0.831695 | + | 0.555233i | \(0.812629\pi\) | |||||||
\(212\) | −1.83667 | − | 0.539294i | −0.126143 | − | 0.0370388i | ||||
\(213\) | −0.696232 | − | 3.35729i | −0.0477050 | − | 0.230037i | ||||
\(214\) | 6.94687 | − | 10.8095i | 0.474878 | − | 0.738925i | ||||
\(215\) | −2.78522 | − | 0.400454i | −0.189951 | − | 0.0273108i | ||||
\(216\) | −12.0100 | + | 0.507650i | −0.817178 | + | 0.0345412i | ||||
\(217\) | 19.3992 | + | 5.69613i | 1.31691 | + | 0.386678i | ||||
\(218\) | −2.20219 | + | 0.316627i | −0.149151 | + | 0.0214447i | ||||
\(219\) | −10.3925 | − | 14.1678i | −0.702263 | − | 0.957369i | ||||
\(220\) | −0.526467 | + | 0.607575i | −0.0354944 | + | 0.0409627i | ||||
\(221\) | −0.755483 | + | 1.65428i | −0.0508193 | + | 0.111279i | ||||
\(222\) | −5.07048 | + | 9.07509i | −0.340308 | + | 0.609080i | ||||
\(223\) | 0.362048 | + | 0.792774i | 0.0242445 | + | 0.0530881i | 0.921367 | − | 0.388694i | \(-0.127074\pi\) |
−0.897122 | + | 0.441782i | \(0.854346\pi\) | |||||||
\(224\) | 16.8013 | + | 7.67289i | 1.12258 | + | 0.512667i | ||||
\(225\) | 10.4302 | − | 1.29326i | 0.695348 | − | 0.0862176i | ||||
\(226\) | 10.9049 | + | 7.00814i | 0.725381 | + | 0.466174i | ||||
\(227\) | 14.3642 | − | 2.06526i | 0.953387 | − | 0.137076i | 0.351970 | − | 0.936011i | \(-0.385512\pi\) |
0.601418 | + | 0.798935i | \(0.294603\pi\) | |||||||
\(228\) | −1.24615 | + | 2.23035i | −0.0825284 | + | 0.147708i | ||||
\(229\) | −14.2090 | − | 22.1097i | −0.938958 | − | 1.46105i | −0.886664 | − | 0.462415i | \(-0.846983\pi\) |
−0.0522942 | − | 0.998632i | \(-0.516653\pi\) | |||||||
\(230\) | − | 4.59669i | − | 0.303097i | ||||||
\(231\) | 1.62933 | + | 1.66132i | 0.107202 | + | 0.109307i | ||||
\(232\) | 3.80470 | + | 5.92022i | 0.249791 | + | 0.388682i | ||||
\(233\) | −3.59770 | − | 7.87786i | −0.235693 | − | 0.516096i | 0.754416 | − | 0.656397i | \(-0.227920\pi\) |
−0.990109 | + | 0.140301i | \(0.955193\pi\) | |||||||
\(234\) | 0.626680 | − | 0.695442i | 0.0409673 | − | 0.0454625i | ||||
\(235\) | 8.68602 | + | 7.52648i | 0.566613 | + | 0.490973i | ||||
\(236\) | −17.4131 | + | 7.95229i | −1.13349 | + | 0.517650i | ||||
\(237\) | −10.6244 | − | 2.41957i | −0.690130 | − | 0.157168i | ||||
\(238\) | 7.86275 | 0.509666 | ||||||||
\(239\) | −27.9958 | −1.81090 | −0.905450 | − | 0.424454i | \(-0.860466\pi\) | ||||
−0.905450 | + | 0.424454i | \(0.860466\pi\) | |||||||
\(240\) | −0.787045 | + | 3.45594i | −0.0508035 | + | 0.223080i | ||||
\(241\) | −3.26897 | + | 0.959857i | −0.210573 | + | 0.0618298i | −0.385318 | − | 0.922784i | \(-0.625908\pi\) |
0.174745 | + | 0.984614i | \(0.444090\pi\) | |||||||
\(242\) | 0.994877 | + | 6.91952i | 0.0639531 | + | 0.444804i | ||||
\(243\) | −15.3752 | + | 2.56976i | −0.986319 | + | 0.164850i | ||||
\(244\) | 14.6840 | − | 2.11123i | 0.940044 | − | 0.135158i | ||||
\(245\) | 1.76629 | − | 3.86763i | 0.112844 | − | 0.247094i | ||||
\(246\) | 4.34420 | + | 1.66857i | 0.276976 | + | 0.106384i | ||||
\(247\) | −0.126870 | − | 0.432078i | −0.00807252 | − | 0.0274925i | ||||
\(248\) | −13.1453 | − | 6.00325i | −0.834726 | − | 0.381206i | ||||
\(249\) | −25.0678 | + | 1.54817i | −1.58861 | + | 0.0981116i | ||||
\(250\) | −0.955832 | + | 6.64796i | −0.0604521 | + | 0.420454i | ||||
\(251\) | −0.162980 | − | 1.13355i | −0.0102872 | − | 0.0715490i | 0.984031 | − | 0.177996i | \(-0.0569615\pi\) |
−0.994318 | + | 0.106447i | \(0.966052\pi\) | |||||||
\(252\) | 14.6625 | + | 4.61670i | 0.923652 | + | 0.290825i | ||||
\(253\) | −1.82566 | − | 1.58195i | −0.114779 | − | 0.0994561i | ||||
\(254\) | −0.342620 | + | 2.38298i | −0.0214979 | + | 0.149521i | ||||
\(255\) | 1.61899 | + | 7.80690i | 0.101385 | + | 0.488887i | ||||
\(256\) | −6.65056 | − | 4.27405i | −0.415660 | − | 0.267128i | ||||
\(257\) | −6.12905 | + | 20.8736i | −0.382320 | + | 1.30206i | 0.513670 | + | 0.857988i | \(0.328285\pi\) |
−0.895990 | + | 0.444074i | \(0.853533\pi\) | |||||||
\(258\) | 0.922237 | − | 2.40108i | 0.0574159 | − | 0.149485i | ||||
\(259\) | 22.7389 | − | 19.7034i | 1.41293 | − | 1.22431i | ||||
\(260\) | −0.506095 | − | 0.787499i | −0.0313867 | − | 0.0488386i | ||||
\(261\) | 5.84111 | + | 7.01186i | 0.361556 | + | 0.434023i | ||||
\(262\) | −0.943376 | − | 3.21285i | −0.0582820 | − | 0.198490i | ||||
\(263\) | −0.767535 | + | 2.61399i | −0.0473283 | + | 0.161185i | −0.979766 | − | 0.200144i | \(-0.935859\pi\) |
0.932438 | + | 0.361330i | \(0.117677\pi\) | |||||||
\(264\) | −0.983741 | − | 1.34110i | −0.0605451 | − | 0.0825388i | ||||
\(265\) | 0.614473 | − | 1.34551i | 0.0377468 | − | 0.0826539i | ||||
\(266\) | −1.47140 | + | 1.27497i | −0.0902173 | + | 0.0781737i | ||||
\(267\) | 17.4189 | + | 17.7608i | 1.06602 | + | 1.08694i | ||||
\(268\) | 11.4349 | + | 6.09693i | 0.698497 | + | 0.372429i | ||||
\(269\) | − | 14.2127i | − | 0.866565i | −0.901258 | − | 0.433283i | \(-0.857355\pi\) | ||
0.901258 | − | 0.433283i | \(-0.142645\pi\) | |||||||
\(270\) | 0.412001 | − | 4.08341i | 0.0250736 | − | 0.248509i | ||||
\(271\) | −3.20261 | − | 1.46258i | −0.194545 | − | 0.0888456i | 0.315761 | − | 0.948839i | \(-0.397740\pi\) |
−0.510305 | + | 0.859993i | \(0.670468\pi\) | |||||||
\(272\) | 6.22999 | + | 0.895738i | 0.377749 | + | 0.0543121i | ||||
\(273\) | −2.39057 | + | 1.27535i | −0.144684 | + | 0.0771876i | ||||
\(274\) | 3.83898 | − | 1.12723i | 0.231921 | − | 0.0680983i | ||||
\(275\) | 0.952298 | + | 1.09901i | 0.0574257 | + | 0.0662728i | ||||
\(276\) | −15.5601 | − | 3.54360i | −0.936605 | − | 0.213300i | ||||
\(277\) | −18.9983 | − | 21.9252i | −1.14150 | − | 1.31736i | −0.941288 | − | 0.337605i | \(-0.890383\pi\) |
−0.200209 | − | 0.979753i | \(-0.564162\pi\) | |||||||
\(278\) | 2.69822 | − | 1.23224i | 0.161828 | − | 0.0739046i | ||||
\(279\) | −17.8751 | − | 5.62823i | −1.07016 | − | 0.336953i | ||||
\(280\) | −4.95227 | + | 7.70588i | −0.295955 | + | 0.460515i | ||||
\(281\) | −17.2891 | − | 11.1110i | −1.03138 | − | 0.662827i | −0.0885392 | − | 0.996073i | \(-0.528220\pi\) |
−0.942840 | + | 0.333245i | \(0.891856\pi\) | |||||||
\(282\) | −8.47110 | + | 6.21385i | −0.504447 | + | 0.370029i | ||||
\(283\) | 20.9096 | − | 24.1310i | 1.24295 | − | 1.43444i | 0.383240 | − | 0.923649i | \(-0.374808\pi\) |
0.859707 | − | 0.510788i | \(-0.170646\pi\) | |||||||
\(284\) | 0.882946 | − | 3.00704i | 0.0523932 | − | 0.178435i | ||||
\(285\) | −1.56889 | − | 1.19842i | −0.0929330 | − | 0.0709884i | ||||
\(286\) | 0.128209 | + | 0.0184336i | 0.00758113 | + | 0.00109000i | ||||
\(287\) | −10.1792 | − | 8.82033i | −0.600859 | − | 0.520648i | ||||
\(288\) | −15.4320 | − | 7.41335i | −0.909337 | − | 0.436836i | ||||
\(289\) | −2.72672 | + | 0.800636i | −0.160395 | + | 0.0470962i | ||||
\(290\) | −2.18559 | + | 0.998124i | −0.128342 | + | 0.0586119i | ||||
\(291\) | 4.37033 | − | 1.58184i | 0.256193 | − | 0.0927290i | ||||
\(292\) | −2.28563 | − | 15.8969i | −0.133756 | − | 0.930295i | ||||
\(293\) | 13.8899 | − | 21.6131i | 0.811457 | − | 1.26265i | −0.150271 | − | 0.988645i | \(-0.548015\pi\) |
0.961728 | − | 0.274007i | \(-0.0883490\pi\) | |||||||
\(294\) | 3.08857 | + | 2.35925i | 0.180129 | + | 0.137595i | ||||
\(295\) | −4.16753 | − | 14.1933i | −0.242643 | − | 0.826366i | ||||
\(296\) | −18.0917 | + | 11.6268i | −1.05156 | + | 0.675796i | ||||
\(297\) | −1.48002 | − | 1.56894i | −0.0858792 | − | 0.0910389i | ||||
\(298\) | 1.77117i | 0.102601i | ||||||||
\(299\) | 2.36630 | − | 1.52073i | 0.136847 | − | 0.0879461i | ||||
\(300\) | 8.96789 | + | 3.44450i | 0.517762 | + | 0.198868i | ||||
\(301\) | −4.87508 | + | 5.62615i | −0.280995 | + | 0.324286i | ||||
\(302\) | 4.07624 | − | 4.70423i | 0.234561 | − | 0.270698i | ||||
\(303\) | −7.97507 | − | 3.06316i | −0.458156 | − | 0.175974i | ||||
\(304\) | −1.31110 | + | 0.842592i | −0.0751967 | + | 0.0483260i | ||||
\(305\) | 11.4635i | 0.656400i | ||||||||
\(306\) | −7.28661 | − | 0.141650i | −0.416548 | − | 0.00809762i | ||||
\(307\) | 17.0917 | − | 10.9842i | 0.975473 | − | 0.626899i | 0.0472347 | − | 0.998884i | \(-0.484959\pi\) |
0.928239 | + | 0.371985i | \(0.121323\pi\) | |||||||
\(308\) | 0.599224 | + | 2.04077i | 0.0341440 | + | 0.116284i | ||||
\(309\) | 15.8164 | + | 12.0816i | 0.899762 | + | 0.687299i | ||||
\(310\) | 2.66750 | − | 4.15071i | 0.151504 | − | 0.235744i | ||||
\(311\) | 3.69642 | + | 25.7091i | 0.209604 | + | 1.45783i | 0.774450 | + | 0.632635i | \(0.218027\pi\) |
−0.564846 | + | 0.825196i | \(0.691064\pi\) | |||||||
\(312\) | 1.82103 | − | 0.659120i | 0.103095 | − | 0.0373153i | ||||
\(313\) | 13.1586 | − | 6.00935i | 0.743770 | − | 0.339668i | −0.00722709 | − | 0.999974i | \(-0.502300\pi\) |
0.750997 | + | 0.660306i | \(0.229573\pi\) | |||||||
\(314\) | 11.1079 | − | 3.26158i | 0.626857 | − | 0.184062i | ||||
\(315\) | −5.14365 | + | 10.7073i | −0.289812 | + | 0.603285i | ||||
\(316\) | −7.52710 | − | 6.52227i | −0.423433 | − | 0.366906i | ||||
\(317\) | 2.24731 | + | 0.323115i | 0.126222 | + | 0.0181479i | 0.205136 | − | 0.978733i | \(-0.434236\pi\) |
−0.0789144 | + | 0.996881i | \(0.525145\pi\) | |||||||
\(318\) | 1.07448 | + | 0.820759i | 0.0602538 | + | 0.0460259i | ||||
\(319\) | −0.355744 | + | 1.21155i | −0.0199178 | + | 0.0678339i | ||||
\(320\) | 0.271564 | − | 0.313402i | 0.0151809 | − | 0.0175197i | ||||
\(321\) | 27.7952 | − | 20.3887i | 1.55138 | − | 1.13799i | ||||
\(322\) | −10.2306 | − | 6.57482i | −0.570131 | − | 0.366401i | ||||
\(323\) | −1.89537 | + | 2.94925i | −0.105461 | + | 0.164101i | ||||
\(324\) | −13.5050 | − | 4.54256i | −0.750276 | − | 0.252364i | ||||
\(325\) | −1.54025 | + | 0.703407i | −0.0854375 | + | 0.0390180i | ||||
\(326\) | −0.455404 | − | 0.525565i | −0.0252225 | − | 0.0291083i | ||||
\(327\) | −5.81964 | − | 1.32535i | −0.321827 | − | 0.0732919i | ||||
\(328\) | 6.30443 | + | 7.27571i | 0.348104 | + | 0.401734i | ||||
\(329\) | 29.1753 | − | 8.56663i | 1.60848 | − | 0.472294i | ||||
\(330\) | 0.501018 | − | 0.267289i | 0.0275802 | − | 0.0147138i | ||||
\(331\) | −24.2336 | − | 3.48427i | −1.33200 | − | 0.191513i | −0.560719 | − | 0.828006i | \(-0.689475\pi\) |
−0.771282 | + | 0.636494i | \(0.780384\pi\) | |||||||
\(332\) | −20.8821 | − | 9.53653i | −1.14605 | − | 0.523385i | ||||
\(333\) | −21.4277 | + | 17.8500i | −1.17423 | + | 0.978171i | ||||
\(334\) | − | 13.9530i | − | 0.763475i | ||||||
\(335\) | −5.92089 | + | 8.07574i | −0.323493 | + | 0.441225i | ||||
\(336\) | 6.56597 | + | 6.69485i | 0.358203 | + | 0.365234i | ||||
\(337\) | −19.2959 | + | 16.7200i | −1.05112 | + | 0.910797i | −0.996148 | − | 0.0876913i | \(-0.972051\pi\) |
−0.0549679 | + | 0.998488i | \(0.517506\pi\) | |||||||
\(338\) | 3.42400 | − | 7.49751i | 0.186241 | − | 0.407811i | ||||
\(339\) | 20.5686 | + | 28.0403i | 1.11713 | + | 1.52294i | ||||
\(340\) | −2.05317 | + | 6.99245i | −0.111349 | + | 0.379219i | ||||
\(341\) | −0.730516 | − | 2.48791i | −0.0395597 | − | 0.134728i | ||||
\(342\) | 1.38655 | − | 1.15504i | 0.0749762 | − | 0.0624576i | ||||
\(343\) | 6.16723 | + | 9.59640i | 0.332999 | + | 0.518157i | ||||
\(344\) | 4.02135 | − | 3.48452i | 0.216817 | − | 0.187873i | ||||
\(345\) | 4.42157 | − | 11.5118i | 0.238050 | − | 0.619772i | ||||
\(346\) | 2.54137 | − | 8.65510i | 0.136625 | − | 0.465301i | ||||
\(347\) | −24.8249 | − | 15.9540i | −1.33267 | − | 0.856455i | −0.336314 | − | 0.941750i | \(-0.609180\pi\) |
−0.996356 | + | 0.0852955i | \(0.972817\pi\) | |||||||
\(348\) | 1.69383 | + | 8.16779i | 0.0907988 | + | 0.437840i | ||||
\(349\) | 3.21120 | − | 22.3344i | 0.171892 | − | 1.19553i | −0.702991 | − | 0.711199i | \(-0.748152\pi\) |
0.874883 | − | 0.484335i | \(-0.160938\pi\) | |||||||
\(350\) | 5.53266 | + | 4.79408i | 0.295733 | + | 0.256254i | ||||
\(351\) | 2.23838 | − | 1.13883i | 0.119476 | − | 0.0607863i | ||||
\(352\) | −0.337115 | − | 2.34468i | −0.0179683 | − | 0.124972i | ||||
\(353\) | 1.90937 | − | 13.2799i | 0.101625 | − | 0.706820i | −0.873767 | − | 0.486345i | \(-0.838330\pi\) |
0.975393 | − | 0.220475i | \(-0.0707609\pi\) | |||||||
\(354\) | 13.4959 | − | 0.833498i | 0.717297 | − | 0.0442999i | ||||
\(355\) | 2.20290 | + | 1.00603i | 0.116918 | + | 0.0533946i | ||||
\(356\) | 6.40620 | + | 21.8175i | 0.339528 | + | 1.15633i | ||||
\(357\) | 19.6911 | + | 7.56321i | 1.04217 | + | 0.400288i | ||||
\(358\) | −0.610150 | + | 1.33604i | −0.0322474 | + | 0.0706120i | ||||
\(359\) | 3.67683 | − | 0.528648i | 0.194056 | − | 0.0279010i | −0.0446017 | − | 0.999005i | \(-0.514202\pi\) |
0.238657 | + | 0.971104i | \(0.423293\pi\) | |||||||
\(360\) | 4.72822 | − | 7.05202i | 0.249199 | − | 0.371674i | ||||
\(361\) | 2.58044 | + | 17.9474i | 0.135813 | + | 0.944598i | ||||
\(362\) | 1.85558 | − | 0.544849i | 0.0975273 | − | 0.0286366i | ||||
\(363\) | −4.16439 | + | 18.2859i | −0.218574 | + | 0.959763i | ||||
\(364\) | −2.47658 | −0.129808 | ||||||||
\(365\) | 12.4104 | 0.649592 | ||||||||
\(366\) | −10.2170 | − | 2.32679i | −0.534052 | − | 0.121623i | ||||
\(367\) | 26.3085 | − | 12.0147i | 1.37329 | − | 0.627162i | 0.414183 | − | 0.910194i | \(-0.364067\pi\) |
0.959111 | + | 0.283032i | \(0.0913401\pi\) | |||||||
\(368\) | −7.35715 | − | 6.37500i | −0.383518 | − | 0.332320i | ||||
\(369\) | 9.27443 | + | 8.35741i | 0.482807 | + | 0.435069i | ||||
\(370\) | −3.05018 | − | 6.67897i | −0.158572 | − | 0.347223i | ||||
\(371\) | −2.11573 | − | 3.29213i | −0.109843 | − | 0.170919i | ||||
\(372\) | −11.9940 | − | 12.2294i | −0.621860 | − | 0.634066i | ||||
\(373\) | − | 8.10826i | − | 0.419830i | −0.977720 | − | 0.209915i | \(-0.932681\pi\) | ||
0.977720 | − | 0.209915i | \(-0.0673187\pi\) | |||||||
\(374\) | −0.545172 | − | 0.848304i | −0.0281902 | − | 0.0438648i | ||||
\(375\) | −8.78845 | + | 15.7295i | −0.453833 | + | 0.812266i | ||||
\(376\) | −21.5125 | + | 3.09303i | −1.10942 | + | 0.159511i | ||||
\(377\) | −1.23688 | − | 0.794895i | −0.0637026 | − | 0.0409392i | ||||
\(378\) | −8.49895 | − | 6.75763i | −0.437139 | − | 0.347575i | ||||
\(379\) | 32.8452 | + | 14.9999i | 1.68714 | + | 0.770493i | 0.998990 | + | 0.0449270i | \(0.0143055\pi\) |
0.688153 | + | 0.725566i | \(0.258422\pi\) | |||||||
\(380\) | −0.749631 | − | 1.64146i | −0.0384553 | − | 0.0842053i | ||||
\(381\) | −3.15024 | + | 5.63826i | −0.161392 | + | 0.288857i | ||||
\(382\) | −5.12982 | + | 11.2327i | −0.262465 | + | 0.574717i | ||||
\(383\) | −4.14165 | + | 4.77972i | −0.211629 | + | 0.244232i | −0.851633 | − | 0.524139i | \(-0.824387\pi\) |
0.640004 | + | 0.768371i | \(0.278933\pi\) | |||||||
\(384\) | −11.4684 | − | 15.6345i | −0.585245 | − | 0.797842i | ||||
\(385\) | −1.62683 | + | 0.233902i | −0.0829108 | + | 0.0119208i | ||||
\(386\) | 10.6374 | + | 3.12344i | 0.541432 | + | 0.158979i | ||||
\(387\) | 4.61922 | − | 5.12607i | 0.234808 | − | 0.260573i | ||||
\(388\) | 4.20502 | + | 0.604591i | 0.213478 | + | 0.0306935i | ||||
\(389\) | −6.45110 | + | 10.0381i | −0.327084 | + | 0.508952i | −0.965383 | − | 0.260836i | \(-0.916002\pi\) |
0.638300 | + | 0.769788i | \(0.279638\pi\) | |||||||
\(390\) | 0.134265 | + | 0.647436i | 0.00679876 | + | 0.0327842i | ||||
\(391\) | −21.0112 | − | 6.16943i | −1.06258 | − | 0.312002i | ||||
\(392\) | 3.34005 | + | 7.31369i | 0.168698 | + | 0.369397i | ||||
\(393\) | 0.727896 | − | 8.95355i | 0.0367175 | − | 0.451647i | ||||
\(394\) | 3.20360 | − | 2.05883i | 0.161395 | − | 0.103722i | ||||
\(395\) | 5.81648 | − | 5.04001i | 0.292659 | − | 0.253590i | ||||
\(396\) | −0.518551 | − | 1.90203i | −0.0260582 | − | 0.0955806i | ||||
\(397\) | 8.59045 | + | 2.52238i | 0.431142 | + | 0.126595i | 0.490101 | − | 0.871666i | \(-0.336960\pi\) |
−0.0589589 | + | 0.998260i | \(0.518778\pi\) | |||||||
\(398\) | −0.109296 | + | 0.760173i | −0.00547854 | + | 0.0381040i | ||||
\(399\) | −4.91131 | + | 1.77765i | −0.245873 | + | 0.0889937i | ||||
\(400\) | 3.83761 | + | 4.42884i | 0.191881 | + | 0.221442i | ||||
\(401\) | −20.5045 | −1.02395 | −0.511973 | − | 0.859002i | \(-0.671085\pi\) | ||||
−0.511973 | + | 0.859002i | \(0.671085\pi\) | |||||||
\(402\) | −5.99582 | − | 6.91623i | −0.299044 | − | 0.344950i | ||||
\(403\) | 3.01921 | 0.150398 | ||||||||
\(404\) | −5.11364 | − | 5.90145i | −0.254413 | − | 0.293608i | ||||
\(405\) | 4.95965 | − | 9.83002i | 0.246447 | − | 0.488458i | ||||
\(406\) | −0.904654 | + | 6.29201i | −0.0448972 | + | 0.312267i | ||||
\(407\) | −3.70240 | − | 1.08712i | −0.183521 | − | 0.0538867i | ||||
\(408\) | −13.1619 | − | 7.35388i | −0.651610 | − | 0.364071i | ||||
\(409\) | −18.6463 | + | 16.1571i | −0.922001 | + | 0.798918i | −0.979917 | − | 0.199403i | \(-0.936100\pi\) |
0.0579170 | + | 0.998321i | \(0.481554\pi\) | |||||||
\(410\) | −2.76513 | + | 1.77704i | −0.136560 | + | 0.0877618i | ||||
\(411\) | 10.6985 | + | 0.869753i | 0.527717 | + | 0.0429017i | ||||
\(412\) | 7.55723 | + | 16.5480i | 0.372318 | + | 0.815262i | ||||
\(413\) | −37.5503 | − | 11.0258i | −1.84773 | − | 0.542543i | ||||
\(414\) | 9.36253 | + | 6.27737i | 0.460143 | + | 0.308516i | ||||
\(415\) | 9.59067 | − | 14.9234i | 0.470788 | − | 0.732560i | ||||
\(416\) | 2.73014 | + | 0.392535i | 0.133856 | + | 0.0192456i | ||||
\(417\) | 7.94260 | − | 0.490531i | 0.388951 | − | 0.0240214i | ||||
\(418\) | 0.239577 | + | 0.0703461i | 0.0117181 | + | 0.00344074i | ||||
\(419\) | 23.4249 | − | 3.36799i | 1.14438 | − | 0.164537i | 0.456063 | − | 0.889947i | \(-0.349259\pi\) |
0.688317 | + | 0.725410i | \(0.258350\pi\) | |||||||
\(420\) | −8.75475 | + | 6.42192i | −0.427188 | + | 0.313357i | ||||
\(421\) | −1.60071 | + | 1.84732i | −0.0780140 | + | 0.0900330i | −0.793415 | − | 0.608681i | \(-0.791699\pi\) |
0.715401 | + | 0.698714i | \(0.246244\pi\) | |||||||
\(422\) | 1.24325 | − | 2.72234i | 0.0605206 | − | 0.132522i | ||||
\(423\) | −27.1918 | + | 7.41331i | −1.32211 | + | 0.360448i | ||||
\(424\) | 1.16197 | + | 2.54435i | 0.0564301 | + | 0.123565i | ||||
\(425\) | 11.9910 | + | 5.47610i | 0.581648 | + | 0.265630i | ||||
\(426\) | −1.34377 | + | 1.75916i | −0.0651058 | + | 0.0852318i | ||||
\(427\) | 25.5138 | + | 16.3967i | 1.23470 | + | 0.793494i | ||||
\(428\) | 31.1875 | − | 4.48408i | 1.50750 | − | 0.216746i | ||||
\(429\) | 0.303349 | + | 0.169489i | 0.0146458 | + | 0.00818299i | ||||
\(430\) | 0.982188 | + | 1.52831i | 0.0473653 | + | 0.0737019i | ||||
\(431\) | 19.4783i | 0.938235i | 0.883136 | + | 0.469118i | \(0.155428\pi\) | ||||
−0.883136 | + | 0.469118i | \(0.844572\pi\) | |||||||
\(432\) | −5.96424 | − | 6.32258i | −0.286955 | − | 0.304195i | ||||
\(433\) | −0.00898283 | − | 0.0139776i | −0.000431687 | − | 0.000671718i | 0.841038 | − | 0.540977i | \(-0.181945\pi\) |
−0.841469 | + | 0.540305i | \(0.818309\pi\) | |||||||
\(434\) | −5.42260 | − | 11.8738i | −0.260293 | − | 0.569962i | ||||
\(435\) | −6.43359 | + | 0.397335i | −0.308467 | + | 0.0190508i | ||||
\(436\) | −4.12305 | − | 3.57265i | −0.197458 | − | 0.171099i | ||||
\(437\) | 4.93233 | − | 2.25252i | 0.235945 | − | 0.107753i | ||||
\(438\) | −2.51899 | + | 11.0610i | −0.120362 | + | 0.528513i | ||||
\(439\) | −25.8591 | −1.23419 | −0.617093 | − | 0.786891i | \(-0.711690\pi\) | ||||
−0.617093 | + | 0.786891i | \(0.711690\pi\) | |||||||
\(440\) | 1.17475 | 0.0560041 | ||||||||
\(441\) | 5.46550 | + | 8.87932i | 0.260262 | + | 0.422825i | ||||
\(442\) | 1.12659 | − | 0.330798i | 0.0535866 | − | 0.0157344i | ||||
\(443\) | 3.56244 | + | 24.7773i | 0.169257 | + | 1.17720i | 0.880426 | + | 0.474184i | \(0.157257\pi\) |
−0.711169 | + | 0.703021i | \(0.751834\pi\) | |||||||
\(444\) | −24.9601 | + | 5.17620i | −1.18455 | + | 0.245652i | ||||
\(445\) | −17.3921 | + | 2.50061i | −0.824465 | + | 0.118540i | ||||
\(446\) | 0.233748 | − | 0.511838i | 0.0110683 | − | 0.0242362i | ||||
\(447\) | −1.70369 | + | 4.43563i | −0.0805819 | + | 0.209798i | ||||
\(448\) | −0.309094 | − | 1.05268i | −0.0146033 | − | 0.0497343i | ||||
\(449\) | 16.2265 | + | 7.41041i | 0.765777 | + | 0.349719i | 0.759709 | − | 0.650263i | \(-0.225341\pi\) |
0.00606805 | + | 0.999982i | \(0.498068\pi\) | |||||||
\(450\) | −5.04089 | − | 4.54247i | −0.237630 | − | 0.214134i | ||||
\(451\) | −0.245831 | + | 1.70979i | −0.0115757 | + | 0.0805109i | ||||
\(452\) | 4.52363 | + | 31.4625i | 0.212774 | + | 1.47987i | ||||
\(453\) | 14.7334 | − | 7.86013i | 0.692235 | − | 0.369301i | ||||
\(454\) | −7.08086 | − | 6.13560i | −0.332321 | − | 0.287958i | ||||
\(455\) | 0.272355 | − | 1.89427i | 0.0127682 | − | 0.0888048i | ||||
\(456\) | 3.65551 | − | 0.758077i | 0.171185 | − | 0.0355002i | ||||
\(457\) | 2.34849 | + | 1.50928i | 0.109858 | + | 0.0706014i | 0.594416 | − | 0.804158i | \(-0.297383\pi\) |
−0.484558 | + | 0.874759i | \(0.661020\pi\) | |||||||
\(458\) | −4.78052 | + | 16.2809i | −0.223379 | + | 0.760758i | ||||
\(459\) | −18.1120 | − | 7.36376i | −0.845397 | − | 0.343711i | ||||
\(460\) | 8.51856 | − | 7.38137i | 0.397180 | − | 0.344158i | ||||
\(461\) | 7.32892 | + | 11.4040i | 0.341342 | + | 0.531138i | 0.968907 | − | 0.247426i | \(-0.0795848\pi\) |
−0.627565 | + | 0.778564i | \(0.715948\pi\) | |||||||
\(462\) | 0.121734 | − | 1.49741i | 0.00566360 | − | 0.0696656i | ||||
\(463\) | 6.62921 | + | 22.5770i | 0.308086 | + | 1.04924i | 0.957410 | + | 0.288732i | \(0.0932336\pi\) |
−0.649324 | + | 0.760512i | \(0.724948\pi\) | |||||||
\(464\) | −1.43359 | + | 4.88237i | −0.0665529 | + | 0.226658i | ||||
\(465\) | 10.6730 | − | 7.82898i | 0.494946 | − | 0.363060i | ||||
\(466\) | −2.32278 | + | 5.08617i | −0.107601 | + | 0.235612i | ||||
\(467\) | 17.0779 | − | 14.7981i | 0.790271 | − | 0.684774i | −0.163088 | − | 0.986611i | \(-0.552146\pi\) |
0.953359 | + | 0.301838i | \(0.0976000\pi\) | |||||||
\(468\) | 2.29511 | + | 0.0446166i | 0.106092 | + | 0.00206240i | ||||
\(469\) | 9.50489 | + | 24.7289i | 0.438895 | + | 1.14187i | ||||
\(470\) | − | 7.42037i | − | 0.342276i | ||||||
\(471\) | 30.9556 | + | 2.51659i | 1.42636 | + | 0.115959i | ||||
\(472\) | 25.4448 | + | 11.6203i | 1.17119 | + | 0.534865i | ||||
\(473\) | 0.945018 | + | 0.135873i | 0.0434520 | + | 0.00624745i | ||||
\(474\) | 3.31138 | + | 6.20700i | 0.152097 | + | 0.285097i | ||||
\(475\) | −3.13191 | + | 0.919611i | −0.143702 | + | 0.0421946i | ||||
\(476\) | 12.6260 | + | 14.5712i | 0.578713 | + | 0.667870i | ||||
\(477\) | 1.90139 | + | 3.08902i | 0.0870586 | + | 0.141437i | ||||
\(478\) | 11.8365 | + | 13.6601i | 0.541391 | + | 0.624799i | ||||
\(479\) | 9.70616 | − | 4.43266i | 0.443486 | − | 0.202533i | −0.181140 | − | 0.983457i | \(-0.557979\pi\) |
0.624626 | + | 0.780924i | \(0.285251\pi\) | |||||||
\(480\) | 10.6689 | − | 5.69179i | 0.486968 | − | 0.259793i | ||||
\(481\) | 2.42913 | − | 3.77980i | 0.110759 | − | 0.172344i | ||||
\(482\) | 1.85046 | + | 1.18922i | 0.0842860 | + | 0.0541673i | ||||
\(483\) | −19.2968 | − | 26.3066i | −0.878035 | − | 1.19699i | ||||
\(484\) | −11.2256 | + | 12.9551i | −0.510256 | + | 0.588867i | ||||
\(485\) | −0.924870 | + | 3.14982i | −0.0419962 | + | 0.143026i | ||||
\(486\) | 7.75445 | + | 6.41558i | 0.351749 | + | 0.291017i | ||||
\(487\) | −33.5884 | − | 4.82928i | −1.52204 | − | 0.218836i | −0.670017 | − | 0.742346i | \(-0.733713\pi\) |
−0.852019 | + | 0.523510i | \(0.824622\pi\) | |||||||
\(488\) | −16.3828 | − | 14.1958i | −0.741614 | − | 0.642612i | ||||
\(489\) | −0.634953 | − | 1.75426i | −0.0287136 | − | 0.0793303i | ||||
\(490\) | −2.63393 | + | 0.773391i | −0.118989 | + | 0.0349383i | ||||
\(491\) | 25.5359 | − | 11.6619i | 1.15242 | − | 0.526292i | 0.254770 | − | 0.967002i | \(-0.418000\pi\) |
0.897650 | + | 0.440710i | \(0.145273\pi\) | |||||||
\(492\) | 3.88374 | + | 10.7300i | 0.175092 | + | 0.483748i | ||||
\(493\) | 1.62898 | + | 11.3298i | 0.0733655 | + | 0.510268i | ||||
\(494\) | −0.157185 | + | 0.244585i | −0.00707211 | + | 0.0110044i | ||||
\(495\) | 1.51184 | − | 0.187455i | 0.0679520 | − | 0.00842549i | ||||
\(496\) | −2.94387 | − | 10.0259i | −0.132184 | − | 0.450176i | ||||
\(497\) | 5.38997 | − | 3.46392i | 0.241773 | − | 0.155378i | ||||
\(498\) | 11.3540 | + | 11.5769i | 0.508785 | + | 0.518771i | ||||
\(499\) | − | 7.11426i | − | 0.318478i | −0.987240 | − | 0.159239i | \(-0.949096\pi\) | ||
0.987240 | − | 0.159239i | \(-0.0509040\pi\) | |||||||
\(500\) | −13.8548 | + | 8.90396i | −0.619607 | + | 0.398197i | ||||
\(501\) | 13.4215 | − | 34.9434i | 0.599627 | − | 1.56115i | ||||
\(502\) | −0.484189 | + | 0.558784i | −0.0216104 | + | 0.0249398i | ||||
\(503\) | 11.2848 | − | 13.0233i | 0.503162 | − | 0.580680i | −0.446172 | − | 0.894947i | \(-0.647213\pi\) |
0.949335 | + | 0.314267i | \(0.101759\pi\) | |||||||
\(504\) | −8.93238 | − | 20.6101i | −0.397880 | − | 0.918049i | ||||
\(505\) | 5.07622 | − | 3.26229i | 0.225889 | − | 0.145170i | ||||
\(506\) | 1.55964i | 0.0693347i | ||||||||
\(507\) | 15.7868 | − | 15.4829i | 0.701116 | − | 0.687619i | ||||
\(508\) | −4.96630 | + | 3.19165i | −0.220344 | + | 0.141606i | ||||
\(509\) | 4.71611 | + | 16.0616i | 0.209038 | + | 0.711918i | 0.995541 | + | 0.0943312i | \(0.0300713\pi\) |
−0.786503 | + | 0.617586i | \(0.788111\pi\) | |||||||
\(510\) | 3.12475 | − | 4.09069i | 0.138366 | − | 0.181139i | ||||
\(511\) | 17.7511 | − | 27.6213i | 0.785264 | − | 1.22189i | ||||
\(512\) | −2.45995 | − | 17.1093i | −0.108715 | − | 0.756133i | ||||
\(513\) | 4.58346 | − | 1.55891i | 0.202365 | − | 0.0688277i | ||||
\(514\) | 12.7763 | − | 5.83474i | 0.563538 | − | 0.257359i | ||||
\(515\) | −13.4882 | + | 3.96050i | −0.594361 | + | 0.174520i | ||||
\(516\) | 5.93060 | − | 2.14658i | 0.261080 | − | 0.0944979i | ||||
\(517\) | −2.94714 | − | 2.55371i | −0.129615 | − | 0.112312i | ||||
\(518\) | −19.2279 | − | 2.76455i | −0.844824 | − | 0.121467i | ||||
\(519\) | 14.6899 | − | 19.2309i | 0.644813 | − | 0.844143i | ||||
\(520\) | −0.385375 | + | 1.31247i | −0.0168998 | + | 0.0575555i | ||||
\(521\) | −3.18971 | + | 3.68113i | −0.139744 | + | 0.161273i | −0.821307 | − | 0.570486i | \(-0.806755\pi\) |
0.681563 | + | 0.731759i | \(0.261300\pi\) | |||||||
\(522\) | 0.951719 | − | 5.81467i | 0.0416556 | − | 0.254501i | ||||
\(523\) | −31.7233 | − | 20.3873i | −1.38716 | − | 0.891476i | −0.387625 | − | 0.921817i | \(-0.626704\pi\) |
−0.999540 | + | 0.0303407i | \(0.990341\pi\) | |||||||
\(524\) | 4.43915 | − | 6.90745i | 0.193925 | − | 0.301753i | ||||
\(525\) | 9.24432 | + | 17.3280i | 0.403455 | + | 0.756255i | ||||
\(526\) | 1.59996 | − | 0.730679i | 0.0697617 | − | 0.0318591i | ||||
\(527\) | −15.3924 | − | 17.7638i | −0.670505 | − | 0.773804i | ||||
\(528\) | 0.267042 | − | 1.17259i | 0.0116215 | − | 0.0510304i | ||||
\(529\) | 7.11802 | + | 8.21463i | 0.309479 | + | 0.357158i | ||||
\(530\) | −0.916315 | + | 0.269055i | −0.0398022 | + | 0.0116870i | ||||
\(531\) | 34.6002 | + | 10.8943i | 1.50152 | + | 0.472775i | ||||
\(532\) | −4.72555 | − | 0.679432i | −0.204879 | − | 0.0294571i | ||||
\(533\) | −1.82959 | − | 0.835544i | −0.0792481 | − | 0.0361914i | ||||
\(534\) | 1.30144 | − | 16.0085i | 0.0563189 | − | 0.692755i | ||||
\(535\) | 24.3476i | 1.05264i | ||||||||
\(536\) | −4.20913 | − | 18.4622i | −0.181807 | − | 0.797446i | ||||
\(537\) | −2.81318 | + | 2.75902i | −0.121398 | + | 0.119061i | ||||
\(538\) | −6.93487 | + | 6.00910i | −0.298983 | + | 0.259071i | ||||
\(539\) | −0.599297 | + | 1.31228i | −0.0258136 | + | 0.0565238i | ||||
\(540\) | 8.22895 | − | 5.79363i | 0.354118 | − | 0.249318i | ||||
\(541\) | −7.65792 | + | 26.0805i | −0.329240 | + | 1.12129i | 0.614036 | + | 0.789278i | \(0.289545\pi\) |
−0.943276 | + | 0.332010i | \(0.892273\pi\) | |||||||
\(542\) | 0.640410 | + | 2.18104i | 0.0275080 | + | 0.0936836i | ||||
\(543\) | 5.17114 | + | 0.420398i | 0.221915 | + | 0.0180410i | ||||
\(544\) | −11.6092 | − | 18.0642i | −0.497739 | − | 0.774497i | ||||
\(545\) | 3.18604 | − | 2.76072i | 0.136475 | − | 0.118256i | ||||
\(546\) | 1.63301 | + | 0.627227i | 0.0698864 | + | 0.0268428i | ||||
\(547\) | 5.20762 | − | 17.7355i | 0.222662 | − | 0.758317i | −0.770069 | − | 0.637961i | \(-0.779778\pi\) |
0.992731 | − | 0.120356i | \(-0.0384037\pi\) | |||||||
\(548\) | 8.25362 | + | 5.30428i | 0.352577 | + | 0.226587i | ||||
\(549\) | −23.3489 | − | 15.6549i | −0.996507 | − | 0.668135i | ||||
\(550\) | 0.133615 | − | 0.929316i | 0.00569738 | − | 0.0396262i | ||||
\(551\) | −2.14201 | − | 1.85606i | −0.0912526 | − | 0.0790709i | ||||
\(552\) | 10.9763 | + | 20.5745i | 0.467182 | + | 0.875707i | ||||
\(553\) | −2.89776 | − | 20.1544i | −0.123225 | − | 0.857051i | ||||
\(554\) | −2.66562 | + | 18.5398i | −0.113251 | + | 0.787681i | ||||
\(555\) | −1.21422 | − | 19.6605i | −0.0515409 | − | 0.834543i | ||||
\(556\) | 6.61638 | + | 3.02160i | 0.280597 | + | 0.128144i | ||||
\(557\) | 10.0003 | + | 34.0580i | 0.423728 | + | 1.44309i | 0.844322 | + | 0.535836i | \(0.180004\pi\) |
−0.420594 | + | 0.907249i | \(0.638178\pi\) | |||||||
\(558\) | 4.81135 | + | 11.1015i | 0.203681 | + | 0.469963i | ||||
\(559\) | −0.461813 | + | 1.01123i | −0.0195326 | + | 0.0427705i | ||||
\(560\) | −6.55586 | + | 0.942591i | −0.277036 | + | 0.0398317i | ||||
\(561\) | −0.549319 | − | 2.64886i | −0.0231923 | − | 0.111835i | ||||
\(562\) | 1.88833 | + | 13.1336i | 0.0796543 | + | 0.554008i | ||||
\(563\) | 20.6973 | − | 6.07728i | 0.872288 | − | 0.256127i | 0.185200 | − | 0.982701i | \(-0.440707\pi\) |
0.687088 | + | 0.726574i | \(0.258888\pi\) | |||||||
\(564\) | −25.1184 | − | 5.72039i | −1.05767 | − | 0.240872i | ||||
\(565\) | −24.5623 | −1.03334 | ||||||||
\(566\) | −20.6148 | −0.866505 | ||||||||
\(567\) | −14.7842 | − | 25.0987i | −0.620879 | − | 1.05405i | ||||
\(568\) | −4.16568 | + | 1.90240i | −0.174788 | + | 0.0798231i | ||||
\(569\) | −1.90314 | − | 1.64908i | −0.0797838 | − | 0.0691331i | 0.614056 | − | 0.789263i | \(-0.289537\pi\) |
−0.693840 | + | 0.720129i | \(0.744082\pi\) | |||||||
\(570\) | 0.0785706 | + | 1.27220i | 0.00329096 | + | 0.0532867i | ||||
\(571\) | 1.28960 | + | 2.82383i | 0.0539680 | + | 0.118173i | 0.934695 | − | 0.355451i | \(-0.115673\pi\) |
−0.880727 | + | 0.473624i | \(0.842945\pi\) | |||||||
\(572\) | 0.171717 | + | 0.267196i | 0.00717983 | + | 0.0111720i | ||||
\(573\) | −23.6517 | + | 23.1964i | −0.988066 | + | 0.969045i | ||||
\(574\) | 8.69598i | 0.362963i | ||||||||
\(575\) | −11.0230 | − | 17.1521i | −0.459690 | − | 0.715291i | ||||
\(576\) | 0.267481 | + | 0.981111i | 0.0111450 | + | 0.0408796i | ||||
\(577\) | −30.8160 | + | 4.43067i | −1.28289 | + | 0.184451i | −0.749831 | − | 0.661630i | \(-0.769865\pi\) |
−0.533055 | + | 0.846081i | \(0.678956\pi\) | |||||||
\(578\) | 1.54350 | + | 0.991950i | 0.0642013 | + | 0.0412597i | ||||
\(579\) | 23.6355 | + | 18.0544i | 0.982259 | + | 0.750316i | ||||
\(580\) | −5.35934 | − | 2.44753i | −0.222534 | − | 0.101628i | ||||
\(581\) | −19.4963 | − | 42.6910i | −0.808843 | − | 1.77112i | ||||
\(582\) | −2.61959 | − | 1.46363i | −0.108586 | − | 0.0606695i | ||||
\(583\) | −0.208489 | + | 0.456527i | −0.00863473 | + | 0.0189074i | ||||
\(584\) | −15.3684 | + | 17.7360i | −0.635947 | + | 0.733922i | ||||
\(585\) | −0.286524 | + | 1.75056i | −0.0118463 | + | 0.0723768i | ||||
\(586\) | −16.4184 | + | 2.36061i | −0.678237 | + | 0.0975157i | ||||
\(587\) | −27.4716 | − | 8.06640i | −1.13388 | − | 0.332936i | −0.339646 | − | 0.940553i | \(-0.610307\pi\) |
−0.794230 | + | 0.607617i | \(0.792125\pi\) | |||||||
\(588\) | 0.587469 | + | 9.51221i | 0.0242268 | + | 0.392277i | ||||
\(589\) | 5.76094 | + | 0.828298i | 0.237375 | + | 0.0341294i | ||||
\(590\) | −5.16337 | + | 8.03437i | −0.212573 | + | 0.330770i | ||||
\(591\) | 10.0033 | − | 2.07449i | 0.411483 | − | 0.0853329i | ||||
\(592\) | −14.9201 | − | 4.38094i | −0.613213 | − | 0.180055i | ||||
\(593\) | −10.5553 | − | 23.1128i | −0.433453 | − | 0.949130i | −0.992754 | − | 0.120165i | \(-0.961657\pi\) |
0.559301 | − | 0.828965i | \(-0.311070\pi\) | |||||||
\(594\) | −0.139791 | + | 1.38549i | −0.00573568 | + | 0.0568474i | ||||
\(595\) | −12.5336 | + | 8.05487i | −0.513828 | + | 0.330217i | ||||
\(596\) | −3.28231 | + | 2.84414i | −0.134449 | + | 0.116501i | ||||
\(597\) | −1.00493 | + | 1.79861i | −0.0411291 | + | 0.0736124i | ||||
\(598\) | −1.74248 | − | 0.511639i | −0.0712554 | − | 0.0209225i | ||||
\(599\) | −2.31577 | + | 16.1065i | −0.0946196 | + | 0.658094i | 0.886218 | + | 0.463268i | \(0.153323\pi\) |
−0.980838 | + | 0.194826i | \(0.937586\pi\) | |||||||
\(600\) | −4.77761 | − | 13.1997i | −0.195045 | − | 0.538874i | ||||
\(601\) | 19.5781 | + | 22.5944i | 0.798608 | + | 0.921643i | 0.998304 | − | 0.0582147i | \(-0.0185408\pi\) |
−0.199696 | + | 0.979858i | \(0.563995\pi\) | |||||||
\(602\) | 4.80636 | 0.195892 | ||||||||
\(603\) | −8.36293 | − | 23.0881i | −0.340565 | − | 0.940221i | ||||
\(604\) | 15.2635 | 0.621062 | ||||||||
\(605\) | −8.67448 | − | 10.0109i | −0.352668 | − | 0.407000i | ||||
\(606\) | 1.87722 | + | 5.18640i | 0.0762567 | + | 0.210683i | ||||
\(607\) | 2.30040 | − | 15.9996i | 0.0933703 | − | 0.649405i | −0.888363 | − | 0.459142i | \(-0.848157\pi\) |
0.981733 | − | 0.190263i | \(-0.0609340\pi\) | |||||||
\(608\) | 5.10167 | + | 1.49799i | 0.206900 | + | 0.0607513i | ||||
\(609\) | −8.31789 | + | 14.8873i | −0.337058 | + | 0.603262i | ||||
\(610\) | 5.59344 | − | 4.84674i | 0.226472 | − | 0.196239i | ||||
\(611\) | 3.81989 | − | 2.45489i | 0.154536 | − | 0.0993144i | ||||
\(612\) | −11.4383 | − | 13.7310i | −0.462368 | − | 0.555041i | ||||
\(613\) | −6.20049 | − | 13.5772i | −0.250435 | − | 0.548377i | 0.742106 | − | 0.670282i | \(-0.233827\pi\) |
−0.992542 | + | 0.121905i | \(0.961100\pi\) | |||||||
\(614\) | −12.5858 | − | 3.69554i | −0.507923 | − | 0.149140i | ||||
\(615\) | −8.63422 | + | 1.79056i | −0.348165 | + | 0.0722022i | ||||
\(616\) | 1.68029 | − | 2.61459i | 0.0677009 | − | 0.105345i | ||||
\(617\) | −20.7061 | − | 2.97709i | −0.833597 | − | 0.119853i | −0.287716 | − | 0.957716i | \(-0.592896\pi\) |
−0.545881 | + | 0.837863i | \(0.683805\pi\) | |||||||
\(618\) | −0.792091 | − | 12.8254i | −0.0318626 | − | 0.515914i | ||||
\(619\) | −5.17394 | − | 1.51920i | −0.207958 | − | 0.0610620i | 0.176094 | − | 0.984373i | \(-0.443654\pi\) |
−0.384052 | + | 0.923311i | \(0.625472\pi\) | |||||||
\(620\) | 11.9755 | − | 1.72182i | 0.480949 | − | 0.0691501i | ||||
\(621\) | 17.4089 | + | 24.7266i | 0.698596 | + | 0.992246i | ||||
\(622\) | 10.9815 | − | 12.6733i | 0.440319 | − | 0.508155i | ||||
\(623\) | −19.3111 | + | 42.2855i | −0.773684 | + | 1.69413i | ||||
\(624\) | 1.22245 | + | 0.683014i | 0.0489372 | + | 0.0273424i | ||||
\(625\) | 1.99000 | + | 4.35749i | 0.0796000 | + | 0.174300i | ||||
\(626\) | −8.49559 | − | 3.87981i | −0.339552 | − | 0.155068i | ||||
\(627\) | 0.532320 | + | 0.406622i | 0.0212588 | + | 0.0162389i | ||||
\(628\) | 23.8815 | + | 15.3477i | 0.952975 | + | 0.612440i | ||||
\(629\) | −34.6229 | + | 4.97802i | −1.38051 | + | 0.198487i | ||||
\(630\) | 7.39915 | − | 2.01723i | 0.294789 | − | 0.0803685i | ||||
\(631\) | −24.9825 | − | 38.8735i | −0.994538 | − | 1.54753i | −0.827412 | − | 0.561595i | \(-0.810188\pi\) |
−0.167126 | − | 0.985936i | \(-0.553449\pi\) | |||||||
\(632\) | 14.5537i | 0.578915i | ||||||||
\(633\) | 5.73219 | − | 5.62184i | 0.227834 | − | 0.223448i | ||||
\(634\) | −0.792499 | − | 1.23315i | −0.0314741 | − | 0.0489747i | ||||
\(635\) | −1.89505 | − | 4.14958i | −0.0752027 | − | 0.164671i | ||||
\(636\) | 0.204374 | + | 3.30919i | 0.00810396 | + | 0.131218i | ||||
\(637\) | −1.26952 | − | 1.10004i | −0.0503001 | − | 0.0435853i | ||||
\(638\) | 0.741564 | − | 0.338661i | 0.0293588 | − | 0.0134077i | ||||
\(639\) | −5.05743 | + | 3.11300i | −0.200069 | + | 0.123148i | ||||
\(640\) | 13.6952 | 0.541351 | ||||||||
\(641\) | 29.0725 | 1.14829 | 0.574147 | − | 0.818752i | \(-0.305334\pi\) | ||||
0.574147 | + | 0.818752i | \(0.305334\pi\) | |||||||
\(642\) | −21.7001 | − | 4.94191i | −0.856434 | − | 0.195042i | ||||
\(643\) | 1.57429 | − | 0.462252i | 0.0620838 | − | 0.0182295i | −0.250543 | − | 0.968105i | \(-0.580609\pi\) |
0.312627 | + | 0.949876i | \(0.398791\pi\) | |||||||
\(644\) | −4.24393 | − | 29.5172i | −0.167234 | − | 1.16314i | ||||
\(645\) | 0.989659 | + | 4.77222i | 0.0389678 | + | 0.187906i | ||||
\(646\) | 2.24040 | − | 0.322120i | 0.0881472 | − | 0.0126737i | ||||
\(647\) | 16.0107 | − | 35.0585i | 0.629446 | − | 1.37829i | −0.279000 | − | 0.960291i | \(-0.590003\pi\) |
0.908446 | − | 0.418003i | \(-0.137270\pi\) | |||||||
\(648\) | 7.90656 | + | 19.2609i | 0.310599 | + | 0.756638i | ||||
\(649\) | 1.41403 | + | 4.81575i | 0.0555056 | + | 0.189035i | ||||
\(650\) | 0.994427 | + | 0.454140i | 0.0390046 | + | 0.0178128i | ||||
\(651\) | −2.15864 | − | 34.9524i | −0.0846038 | − | 1.36989i | ||||
\(652\) | 0.242684 | − | 1.68791i | 0.00950425 | − | 0.0661035i | ||||
\(653\) | 1.20035 | + | 8.34862i | 0.0469734 | + | 0.326707i | 0.999736 | + | 0.0229900i | \(0.00731860\pi\) |
−0.952762 | + | 0.303717i | \(0.901772\pi\) | |||||||
\(654\) | 1.81384 | + | 3.39995i | 0.0709269 | + | 0.132949i | ||||
\(655\) | 4.79514 | + | 4.15501i | 0.187362 | + | 0.162350i | ||||
\(656\) | −0.990661 | + | 6.89020i | −0.0386788 | + | 0.269017i | ||||
\(657\) | −16.9480 | + | 25.2776i | −0.661206 | + | 0.986172i | ||||
\(658\) | −16.5152 | − | 10.6136i | −0.643828 | − | 0.413763i | ||||
\(659\) | 4.67367 | − | 15.9171i | 0.182061 | − | 0.620041i | −0.816997 | − | 0.576642i | \(-0.804363\pi\) |
0.999058 | − | 0.0433997i | \(-0.0138189\pi\) | |||||||
\(660\) | 1.29987 | + | 0.499271i | 0.0505975 | + | 0.0194341i | ||||
\(661\) | −1.12315 | + | 0.973217i | −0.0436856 | + | 0.0378538i | −0.676430 | − | 0.736507i | \(-0.736474\pi\) |
0.632744 | + | 0.774361i | \(0.281928\pi\) | |||||||
\(662\) | 8.54581 | + | 13.2975i | 0.332142 | + | 0.516823i | ||||
\(663\) | 3.13959 | + | 0.255239i | 0.121932 | + | 0.00991266i | ||||
\(664\) | 9.45080 | + | 32.1865i | 0.366762 | + | 1.24908i | ||||
\(665\) | 1.03936 | − | 3.53972i | 0.0403045 | − | 0.137265i | ||||
\(666\) | 17.7691 | + | 2.90837i | 0.688540 | + | 0.112697i | ||||
\(667\) | 7.35442 | − | 16.1039i | 0.284764 | − | 0.623547i | ||||
\(668\) | 25.8577 | − | 22.4058i | 1.00046 | − | 0.866906i | ||||
\(669\) | 1.07773 | − | 1.05698i | 0.0416674 | − | 0.0408653i | ||||
\(670\) | 6.44376 | − | 0.525395i | 0.248944 | − | 0.0202978i | ||||
\(671\) | − | 3.88955i | − | 0.150154i | ||||||
\(672\) | 2.59228 | − | 31.8865i | 0.0999992 | − | 1.23005i | ||||
\(673\) | −11.8790 | − | 5.42494i | −0.457901 | − | 0.209116i | 0.173091 | − | 0.984906i | \(-0.444625\pi\) |
−0.630992 | + | 0.775790i | \(0.717352\pi\) | |||||||
\(674\) | 16.3165 | + | 2.34596i | 0.628488 | + | 0.0903630i | ||||
\(675\) | −8.25478 | − | 16.2248i | −0.317727 | − | 0.624494i | ||||
\(676\) | 19.3926 | − | 5.69418i | 0.745869 | − | 0.219007i | ||||
\(677\) | 11.2470 | + | 12.9797i | 0.432257 | + | 0.498851i | 0.929532 | − | 0.368742i | \(-0.120211\pi\) |
−0.497275 | + | 0.867593i | \(0.665666\pi\) | |||||||
\(678\) | 4.98550 | − | 21.8915i | 0.191467 | − | 0.840736i | ||||
\(679\) | 5.68752 | + | 6.56375i | 0.218267 | + | 0.251894i | ||||
\(680\) | 9.68672 | − | 4.42378i | 0.371469 | − | 0.169644i | ||||
\(681\) | −11.8312 | − | 22.1769i | −0.453371 | − | 0.849819i | ||||
\(682\) | −0.905075 | + | 1.40832i | −0.0346571 | + | 0.0539275i | ||||
\(683\) | 0.367906 | + | 0.236439i | 0.0140775 | + | 0.00904707i | 0.547661 | − | 0.836701i | \(-0.315518\pi\) |
−0.533583 | + | 0.845748i | \(0.679155\pi\) | |||||||
\(684\) | 4.36705 | + | 0.714779i | 0.166978 | + | 0.0273303i | ||||
\(685\) | −4.96476 | + | 5.72964i | −0.189694 | + | 0.218918i | ||||
\(686\) | 2.07492 | − | 7.06653i | 0.0792208 | − | 0.269801i | ||||
\(687\) | −27.6328 | + | 36.1749i | −1.05426 | + | 1.38016i | ||||
\(688\) | 3.80828 | + | 0.547548i | 0.145189 | + | 0.0208751i | ||||
\(689\) | −0.441651 | − | 0.382693i | −0.0168256 | − | 0.0145794i | ||||
\(690\) | −7.48640 | + | 2.70970i | −0.285002 | + | 0.103157i | ||||
\(691\) | −11.9231 | + | 3.50093i | −0.453575 | + | 0.133182i | −0.500537 | − | 0.865715i | \(-0.666864\pi\) |
0.0469624 | + | 0.998897i | \(0.485046\pi\) | |||||||
\(692\) | 20.1205 | − | 9.18873i | 0.764867 | − | 0.349303i | ||||
\(693\) | 1.74523 | − | 3.63294i | 0.0662957 | − | 0.138004i | ||||
\(694\) | 2.71140 | + | 18.8582i | 0.102923 | + | 0.715847i | ||||
\(695\) | −3.03875 | + | 4.72839i | −0.115266 | + | 0.179358i | ||||
\(696\) | 7.39914 | − | 9.68643i | 0.280464 | − | 0.367163i | ||||
\(697\) | 4.41152 | + | 15.0243i | 0.167098 | + | 0.569085i | ||||
\(698\) | −12.2554 | + | 7.87607i | −0.463874 | + | 0.298114i | ||||
\(699\) | −10.7095 | + | 10.5033i | −0.405070 | + | 0.397272i | ||||
\(700\) | 17.9514i | 0.678501i | ||||||||
\(701\) | 32.8155 | − | 21.0892i | 1.23942 | − | 0.796530i | 0.254093 | − | 0.967180i | \(-0.418223\pi\) |
0.985332 | + | 0.170650i | \(0.0545868\pi\) | |||||||
\(702\) | −1.50205 | − | 0.610686i | −0.0566914 | − | 0.0230489i | ||||
\(703\) | 5.67197 | − | 6.54580i | 0.213922 | − | 0.246880i | ||||
\(704\) | −0.0921409 | + | 0.106336i | −0.00347269 | + | 0.00400770i | ||||
\(705\) | 7.13769 | − | 18.5833i | 0.268821 | − | 0.699886i | ||||
\(706\) | −7.28700 | + | 4.68307i | −0.274250 | + | 0.176250i | ||||
\(707\) | − | 15.9641i | − | 0.600390i | ||||||
\(708\) | 23.2163 | + | 23.6720i | 0.872523 | + | 0.889649i | ||||
\(709\) | 3.65622 | − | 2.34971i | 0.137312 | − | 0.0882453i | −0.470181 | − | 0.882570i | \(-0.655811\pi\) |
0.607494 | + | 0.794325i | \(0.292175\pi\) | |||||||
\(710\) | −0.440503 | − | 1.50022i | −0.0165318 | − | 0.0563021i | ||||
\(711\) | 2.32234 | + | 18.7298i | 0.0870945 | + | 0.702421i | ||||
\(712\) | 17.9637 | − | 27.9521i | 0.673218 | − | 1.04755i | ||||
\(713\) | 5.17379 | + | 35.9845i | 0.193760 | + | 1.34763i | ||||
\(714\) | −4.63501 | − | 12.8057i | −0.173461 | − | 0.479240i | ||||
\(715\) | −0.223255 | + | 0.101957i | −0.00834926 | + | 0.00381298i | ||||
\(716\) | −3.45572 | + | 1.01469i | −0.129146 | + | 0.0379208i | ||||
\(717\) | 16.5032 | + | 45.5954i | 0.616325 | + | 1.70279i | ||||
\(718\) | −1.81250 | − | 1.57054i | −0.0676418 | − | 0.0586119i | ||||
\(719\) | −20.6241 | − | 2.96530i | −0.769151 | − | 0.110587i | −0.253441 | − | 0.967351i | \(-0.581563\pi\) |
−0.515709 | + | 0.856764i | \(0.672472\pi\) | |||||||
\(720\) | 6.09247 | − | 0.755417i | 0.227053 | − | 0.0281527i | ||||
\(721\) | −10.4780 | + | 35.6849i | −0.390222 | + | 1.32897i | ||||
\(722\) | 7.66612 | − | 8.84717i | 0.285303 | − | 0.329258i | ||||
\(723\) | 3.49030 | + | 4.75819i | 0.129805 | + | 0.176959i | ||||
\(724\) | 3.98941 | + | 2.56384i | 0.148265 | + | 0.0952843i | ||||
\(725\) | −5.76177 | + | 8.96549i | −0.213987 | + | 0.332970i | ||||
\(726\) | 10.6830 | − | 5.69929i | 0.396484 | − | 0.211521i | ||||
\(727\) | 39.9951 | − | 18.2651i | 1.48334 | − | 0.677417i | 0.501155 | − | 0.865357i | \(-0.332909\pi\) |
0.982180 | + | 0.187941i | \(0.0601813\pi\) | |||||||
\(728\) | 2.36988 | + | 2.73498i | 0.0878334 | + | 0.101365i | ||||
\(729\) | 13.2487 | + | 23.5260i | 0.490694 | + | 0.871332i | ||||
\(730\) | −5.24709 | − | 6.05547i | −0.194204 | − | 0.224123i | ||||
\(731\) | 8.30406 | − | 2.43829i | 0.307137 | − | 0.0901835i | ||||
\(732\) | −12.0945 | − | 22.6705i | −0.447026 | − | 0.837925i | ||||
\(733\) | −31.8502 | − | 4.57936i | −1.17641 | − | 0.169143i | −0.473746 | − | 0.880661i | \(-0.657099\pi\) |
−0.702667 | + | 0.711519i | \(0.748008\pi\) | |||||||
\(734\) | −16.9855 | − | 7.75703i | −0.626947 | − | 0.286317i | ||||
\(735\) | −7.34023 | − | 0.596738i | −0.270749 | − | 0.0220110i | ||||
\(736\) | 33.2119i | 1.22421i | ||||||||
\(737\) | 2.00894 | − | 2.74008i | 0.0740004 | − | 0.100932i | ||||
\(738\) | 0.156661 | − | 8.05879i | 0.00576679 | − | 0.296648i | ||||
\(739\) | 0.400799 | − | 0.347295i | 0.0147436 | − | 0.0127754i | −0.647458 | − | 0.762101i | \(-0.724168\pi\) |
0.662201 | + | 0.749326i | \(0.269622\pi\) | |||||||
\(740\) | 7.47944 | − | 16.3777i | 0.274950 | − | 0.602056i | ||||
\(741\) | −0.628916 | + | 0.461332i | −0.0231038 | + | 0.0169475i | ||||
\(742\) | −0.711820 | + | 2.42424i | −0.0261317 | + | 0.0889966i | ||||
\(743\) | 4.48072 | + | 15.2599i | 0.164382 | + | 0.559833i | 0.999946 | + | 0.0104394i | \(0.00332301\pi\) |
−0.835564 | + | 0.549394i | \(0.814859\pi\) | |||||||
\(744\) | −2.02819 | + | 24.9479i | −0.0743570 | + | 0.914635i | ||||
\(745\) | −1.81444 | − | 2.82333i | −0.0664760 | − | 0.103439i | ||||
\(746\) | −3.95629 | + | 3.42815i | −0.144850 | + | 0.125513i | ||||
\(747\) | 17.2986 | + | 39.9140i | 0.632924 | + | 1.46038i | ||||
\(748\) | 0.696634 | − | 2.37252i | 0.0254715 | − | 0.0867479i | ||||
\(749\) | 54.1892 | + | 34.8253i | 1.98003 | + | 1.27249i | ||||
\(750\) | 11.3907 | − | 2.36219i | 0.415928 | − | 0.0862548i | ||||
\(751\) | −0.726794 | + | 5.05496i | −0.0265211 | + | 0.184458i | −0.998776 | − | 0.0494666i | \(-0.984248\pi\) |
0.972255 | + | 0.233925i | \(0.0751570\pi\) | |||||||
\(752\) | −11.8765 | − | 10.2911i | −0.433093 | − | 0.375277i | ||||
\(753\) | −1.75008 | + | 0.933652i | −0.0637765 | + | 0.0340242i | ||||
\(754\) | 0.135093 | + | 0.939594i | 0.00491981 | + | 0.0342180i | ||||
\(755\) | −1.67856 | + | 11.6746i | −0.0610889 | + | 0.424883i | ||||
\(756\) | −1.12442 | − | 26.6016i | −0.0408948 | − | 0.967492i | ||||
\(757\) | −41.1814 | − | 18.8069i | −1.49676 | − | 0.683549i | −0.512246 | − | 0.858839i | \(-0.671186\pi\) |
−0.984517 | + | 0.175290i | \(0.943914\pi\) | |||||||
\(758\) | −6.56789 | − | 22.3682i | −0.238556 | − | 0.812448i | ||||
\(759\) | −1.50023 | + | 3.90591i | −0.0544548 | + | 0.141776i | ||||
\(760\) | −1.09540 | + | 2.39858i | −0.0397342 | + | 0.0870058i | ||||
\(761\) | 14.3637 | − | 2.06518i | 0.520683 | − | 0.0748629i | 0.123037 | − | 0.992402i | \(-0.460737\pi\) |
0.397645 | + | 0.917539i | \(0.369827\pi\) | |||||||
\(762\) | 4.08301 | − | 0.846731i | 0.147912 | − | 0.0306738i | ||||
\(763\) | −1.58728 | − | 11.0398i | −0.0574634 | − | 0.399667i | ||||
\(764\) | −29.0539 | + | 8.53101i | −1.05113 | + | 0.308641i | ||||
\(765\) | 11.7603 | − | 7.23885i | 0.425196 | − | 0.261721i | ||||
\(766\) | 4.08326 | 0.147534 | ||||||||
\(767\) | −5.84417 | −0.211021 | ||||||||
\(768\) | −3.04051 | + | 13.3509i | −0.109715 | + | 0.481761i | ||||
\(769\) | 1.02636 | − | 0.468724i | 0.0370116 | − | 0.0169026i | −0.396823 | − | 0.917895i | \(-0.629887\pi\) |
0.433835 | + | 0.900992i | \(0.357160\pi\) | |||||||
\(770\) | 0.801946 | + | 0.694890i | 0.0289001 | + | 0.0250421i | ||||
\(771\) | 37.6089 | − | 2.32270i | 1.35445 | − | 0.0836502i | ||||
\(772\) | 11.2933 | + | 24.7289i | 0.406455 | + | 0.890012i | ||||
\(773\) | 27.5275 | + | 42.8337i | 0.990096 | + | 1.54062i | 0.833175 | + | 0.553009i | \(0.186520\pi\) |
0.156921 | + | 0.987611i | \(0.449843\pi\) | |||||||
\(774\) | −4.45417 | − | 0.0865883i | −0.160102 | − | 0.00311235i | ||||
\(775\) | − | 21.8847i | − | 0.786120i | ||||||
\(776\) | −3.35617 | − | 5.22230i | −0.120480 | − | 0.187470i | ||||
\(777\) | −45.4942 | − | 25.4188i | −1.63210 | − | 0.911893i | ||||
\(778\) | 7.62543 | − | 1.09637i | 0.273385 | − | 0.0393068i | ||||
\(779\) | −3.26179 | − | 2.09623i | −0.116866 | − | 0.0751051i | ||||
\(780\) | −0.984222 | + | 1.28847i | −0.0352408 | + | 0.0461347i | ||||
\(781\) | −0.747438 | − | 0.341344i | −0.0267454 | − | 0.0122142i | ||||
\(782\) | 5.87318 | + | 12.8605i | 0.210024 | + | 0.459889i | ||||
\(783\) | 7.97660 | − | 13.6465i | 0.285060 | − | 0.487688i | ||||
\(784\) | −2.41508 | + | 5.28828i | −0.0862527 | + | 0.188867i | ||||
\(785\) | −14.3653 | + | 16.5785i | −0.512721 | + | 0.591711i | ||||
\(786\) | −4.67649 | + | 3.43037i | −0.166805 | + | 0.122357i | ||||
\(787\) | 25.4156 | − | 3.65422i | 0.905970 | − | 0.130259i | 0.326448 | − | 0.945215i | \(-0.394148\pi\) |
0.579522 | + | 0.814957i | \(0.303239\pi\) | |||||||
\(788\) | 8.95974 | + | 2.63082i | 0.319178 | + | 0.0937190i | ||||
\(789\) | 4.70972 | − | 0.290870i | 0.167671 | − | 0.0103552i | ||||
\(790\) | −4.91838 | − | 0.707156i | −0.174988 | − | 0.0251595i | ||||
\(791\) | −35.1324 | + | 54.6671i | −1.24916 | + | 1.94374i | ||||
\(792\) | −1.60427 | + | 2.39273i | −0.0570053 | + | 0.0850220i | ||||
\(793\) | 4.34552 | + | 1.27596i | 0.154314 | + | 0.0453106i | ||||
\(794\) | −2.40126 | − | 5.25802i | −0.0852175 | − | 0.186600i | ||||
\(795\) | −2.55359 | − | 0.207599i | −0.0905664 | − | 0.00736277i | ||||
\(796\) | −1.58426 | + | 1.01814i | −0.0561525 | + | 0.0360870i | ||||
\(797\) | −3.57110 | + | 3.09438i | −0.126495 | + | 0.109608i | −0.715811 | − | 0.698294i | \(-0.753943\pi\) |
0.589316 | + | 0.807903i | \(0.299397\pi\) | |||||||
\(798\) | 2.94386 | + | 1.64481i | 0.104212 | + | 0.0582257i | ||||
\(799\) | −33.9180 | − | 9.95923i | −1.19993 | − | 0.352332i | ||||
\(800\) | 2.84528 | − | 19.7893i | 0.100596 | − | 0.699659i | ||||
\(801\) | 18.6579 | − | 38.8391i | 0.659245 | − | 1.37231i | ||||
\(802\) | 8.66923 | + | 10.0048i | 0.306121 | + | 0.353283i | ||||
\(803\) | −4.21083 | −0.148597 | ||||||||
\(804\) | 3.18902 | − | 22.2175i | 0.112468 | − | 0.783551i | ||||
\(805\) | 23.0436 | 0.812181 | ||||||||
\(806\) | −1.27651 | − | 1.47317i | −0.0449633 | − | 0.0518904i | ||||
\(807\) | −23.1476 | + | 8.37825i | −0.814833 | + | 0.294928i | ||||
\(808\) | −1.62388 | + | 11.2944i | −0.0571280 | + | 0.397334i | ||||
\(809\) | 15.1592 | + | 4.45114i | 0.532969 | + | 0.156494i | 0.537133 | − | 0.843497i | \(-0.319507\pi\) |
−0.00416405 | + | 0.999991i | \(0.501325\pi\) | |||||||
\(810\) | −6.89332 | + | 1.73612i | −0.242207 | + | 0.0610012i | ||||
\(811\) | 7.82638 | − | 6.78160i | 0.274821 | − | 0.238134i | −0.506535 | − | 0.862220i | \(-0.669074\pi\) |
0.781356 | + | 0.624086i | \(0.214528\pi\) | |||||||
\(812\) | −13.1130 | + | 8.42722i | −0.460177 | + | 0.295737i | ||||
\(813\) | −0.494132 | + | 6.07811i | −0.0173300 | + | 0.213169i | ||||
\(814\) | 1.03492 | + | 2.26616i | 0.0362739 | + | 0.0794288i | ||||
\(815\) | 1.26434 | + | 0.371245i | 0.0442880 | + | 0.0130041i | ||||
\(816\) | −2.21367 | − | 10.6745i | −0.0774940 | − | 0.373682i | ||||
\(817\) | −1.15861 | + | 1.80283i | −0.0405345 | + | 0.0630729i | ||||
\(818\) | 15.7672 | + | 2.26698i | 0.551287 | + | 0.0792631i | ||||
\(819\) | 3.48631 | + | 3.14160i | 0.121822 | + | 0.109776i | ||||
\(820\) | −7.73345 | − | 2.27075i | −0.270064 | − | 0.0792979i | ||||
\(821\) | −2.32590 | + | 0.334414i | −0.0811744 | + | 0.0116711i | −0.182782 | − | 0.983153i | \(-0.558510\pi\) |
0.101608 | + | 0.994825i | \(0.467601\pi\) | |||||||
\(822\) | −4.09890 | − | 5.58787i | −0.142965 | − | 0.194899i | ||||
\(823\) | 6.46876 | − | 7.46534i | 0.225487 | − | 0.260225i | −0.631722 | − | 0.775195i | \(-0.717651\pi\) |
0.857208 | + | 0.514970i | \(0.172197\pi\) | |||||||
\(824\) | 11.0430 | − | 24.1807i | 0.384700 | − | 0.842376i | ||||
\(825\) | 1.22853 | − | 2.19882i | 0.0427721 | − | 0.0765529i | ||||
\(826\) | 10.4963 | + | 22.9837i | 0.365214 | + | 0.799706i | ||||
\(827\) | −31.1873 | − | 14.2428i | −1.08449 | − | 0.495270i | −0.208708 | − | 0.977978i | \(-0.566926\pi\) |
−0.875781 | + | 0.482708i | \(0.839653\pi\) | |||||||
\(828\) | 3.40120 | + | 27.4308i | 0.118200 | + | 0.953286i | ||||
\(829\) | 23.6607 | + | 15.2058i | 0.821771 | + | 0.528120i | 0.882653 | − | 0.470025i | \(-0.155755\pi\) |
−0.0608824 | + | 0.998145i | \(0.519391\pi\) | |||||||
\(830\) | −11.3365 | + | 1.62995i | −0.393496 | + | 0.0565762i | ||||
\(831\) | −24.5092 | + | 43.8663i | −0.850215 | + | 1.52170i | ||||
\(832\) | −0.0885754 | − | 0.137826i | −0.00307080 | − | 0.00477826i | ||||
\(833\) | 13.0775i | 0.453109i | ||||||||
\(834\) | −3.59745 | − | 3.66807i | −0.124570 | − | 0.127015i | ||||
\(835\) | 14.2939 | + | 22.2418i | 0.494662 | + | 0.769710i | ||||
\(836\) | 0.254348 | + | 0.556944i | 0.00879681 | + | 0.0192623i | ||||
\(837\) | 1.37079 | + | 32.4301i | 0.0473813 | + | 1.12095i | ||||
\(838\) | −11.5473 | − | 10.0058i | −0.398895 | − | 0.345645i | ||||
\(839\) | −3.93195 | + | 1.79566i | −0.135746 | + | 0.0619931i | −0.482130 | − | 0.876100i | \(-0.660137\pi\) |
0.346384 | + | 0.938093i | \(0.387409\pi\) | |||||||
\(840\) | 15.4695 | + | 3.52298i | 0.533748 | + | 0.121554i | ||||
\(841\) | 19.7461 | 0.680901 | ||||||||
\(842\) | 1.57815 | 0.0543866 | ||||||||
\(843\) | −7.90423 | + | 34.7077i | −0.272236 | + | 1.19540i | ||||
\(844\) | 7.04145 | − | 2.06756i | 0.242377 | − | 0.0711682i | ||||
\(845\) | 2.22268 | + | 15.4591i | 0.0764624 | + | 0.531808i | ||||
\(846\) | 15.1138 | + | 10.1335i | 0.519623 | + | 0.348396i | ||||
\(847\) | −34.6882 | + | 4.98740i | −1.19190 | + | 0.171369i | ||||
\(848\) | −0.840179 | + | 1.83973i | −0.0288519 | + | 0.0631768i | ||||
\(849\) | −51.6269 | − | 19.8295i | −1.77183 | − | 0.680546i | ||||
\(850\) | −2.39778 | − | 8.16608i | −0.0822431 | − | 0.280094i | ||||
\(851\) | 49.2123 | + | 22.4745i | 1.68697 | + | 0.770416i | ||||
\(852\) | −5.41790 | + | 0.334607i | −0.185614 | + | 0.0114634i | ||||
\(853\) | 3.40866 | − | 23.7077i | 0.116710 | − | 0.811738i | −0.844428 | − | 0.535669i | \(-0.820059\pi\) |
0.961138 | − | 0.276068i | \(-0.0890316\pi\) | |||||||
\(854\) | −2.78664 | − | 19.3815i | −0.0953570 | − | 0.663222i | ||||
\(855\) | −1.02697 | + | 3.26163i | −0.0351216 | + | 0.111545i | ||||
\(856\) | −34.7956 | − | 30.1506i | −1.18929 | − | 1.03053i | ||||
\(857\) | 6.32584 | − | 43.9972i | 0.216086 | − | 1.50291i | −0.536207 | − | 0.844086i | \(-0.680143\pi\) |
0.752294 | − | 0.658828i | \(-0.228948\pi\) | |||||||
\(858\) | −0.0455557 | − | 0.219673i | −0.00155525 | − | 0.00749953i | ||||
\(859\) | −2.98312 | − | 1.91713i | −0.101783 | − | 0.0654117i | 0.488759 | − | 0.872419i | \(-0.337450\pi\) |
−0.590542 | + | 0.807007i | \(0.701086\pi\) | |||||||
\(860\) | −1.25506 | + | 4.27435i | −0.0427973 | + | 0.145754i | ||||
\(861\) | −8.36470 | + | 21.7779i | −0.285068 | + | 0.742187i | ||||
\(862\) | 9.50410 | − | 8.23535i | 0.323711 | − | 0.280497i | ||||
\(863\) | −9.55033 | − | 14.8606i | −0.325097 | − | 0.505861i | 0.639782 | − | 0.768557i | \(-0.279025\pi\) |
−0.964879 | + | 0.262696i | \(0.915388\pi\) | |||||||
\(864\) | −2.97678 | + | 29.5034i | −0.101272 | + | 1.00372i | ||||
\(865\) | 4.81551 | + | 16.4001i | 0.163732 | + | 0.557621i | ||||
\(866\) | −0.00302221 | + | 0.0102927i | −0.000102699 | + | 0.000349760i | ||||
\(867\) | 2.91133 | + | 3.96890i | 0.0988738 | + | 0.134791i | ||||
\(868\) | 13.2969 | − | 29.1162i | 0.451326 | − | 0.988267i | ||||
\(869\) | −1.97352 | + | 1.71006i | −0.0669469 | + | 0.0580098i | ||||
\(870\) | 2.91398 | + | 2.97117i | 0.0987930 | + | 0.100732i | ||||
\(871\) | 2.40227 | + | 3.14333i | 0.0813977 | + | 0.106508i | ||||
\(872\) | 7.97195i | 0.269964i | ||||||||
\(873\) | −5.15252 | − | 6.18526i | −0.174386 | − | 0.209339i | ||||
\(874\) | −3.18445 | − | 1.45429i | −0.107716 | − | 0.0491921i | ||||
\(875\) | −33.3268 | − | 4.79167i | −1.12665 | − | 0.161988i | ||||
\(876\) | −24.5431 | + | 13.0935i | −0.829235 | + | 0.442389i | ||||
\(877\) | 37.4615 | − | 10.9997i | 1.26499 | − | 0.371433i | 0.420638 | − | 0.907229i | \(-0.361806\pi\) |
0.844348 | + | 0.535795i | \(0.179988\pi\) | |||||||
\(878\) | 10.9331 | + | 12.6175i | 0.368975 | + | 0.425820i | ||||
\(879\) | −43.3882 | − | 9.88110i | −1.46345 | − | 0.333281i | ||||
\(880\) | 0.556253 | + | 0.641950i | 0.0187513 | + | 0.0216401i | ||||
\(881\) | 29.9832 | − | 13.6929i | 1.01016 | − | 0.461325i | 0.159588 | − | 0.987184i | \(-0.448983\pi\) |
0.850572 | + | 0.525859i | \(0.176256\pi\) | |||||||
\(882\) | 2.02172 | − | 6.42095i | 0.0680750 | − | 0.216205i | ||||
\(883\) | −25.1570 | + | 39.1451i | −0.846601 | + | 1.31734i | 0.100019 | + | 0.994986i | \(0.468110\pi\) |
−0.946620 | + | 0.322352i | \(0.895527\pi\) | |||||||
\(884\) | 2.42212 | + | 1.55660i | 0.0814647 | + | 0.0523542i | ||||
\(885\) | −20.6592 | + | 15.1543i | −0.694452 | + | 0.509405i | ||||
\(886\) | 10.5835 | − | 12.2140i | 0.355559 | − | 0.410337i | ||||
\(887\) | 1.92571 | − | 6.55836i | 0.0646590 | − | 0.220208i | −0.920825 | − | 0.389976i | \(-0.872483\pi\) |
0.985484 | + | 0.169767i | \(0.0543016\pi\) | |||||||
\(888\) | 29.6009 | + | 22.6112i | 0.993342 | + | 0.758781i | ||||
\(889\) | −11.9461 | − | 1.71759i | −0.400658 | − | 0.0576060i | ||||
\(890\) | 8.57346 | + | 7.42895i | 0.287383 | + | 0.249019i | ||||
\(891\) | −1.68280 | + | 3.33530i | −0.0563758 | + | 0.111737i | ||||
\(892\) | 1.32389 | − | 0.388729i | 0.0443271 | − | 0.0130156i | ||||
\(893\) | 7.96219 | − | 3.63621i | 0.266444 | − | 0.121681i | ||||
\(894\) | 2.88461 | − | 1.04408i | 0.0964758 | − | 0.0349194i | ||||
\(895\) | −0.396077 | − | 2.75478i | −0.0132394 | − | 0.0920820i | ||||
\(896\) | 19.5888 | − | 30.4807i | 0.654415 | − | 1.01829i | ||||
\(897\) | −3.87165 | − | 2.95743i | −0.129271 | − | 0.0987456i | ||||
\(898\) | −3.24474 | − | 11.0506i | −0.108278 | − | 0.368762i | ||||
\(899\) | 15.9861 | − | 10.2737i | 0.533167 | − | 0.342646i | ||||
\(900\) | 0.323402 | − | 16.6361i | 0.0107801 | − | 0.554535i | ||||
\(901\) | 4.54953i | 0.151567i | ||||||||
\(902\) | 0.938201 | − | 0.602945i | 0.0312387 | − | 0.0200759i | ||||
\(903\) | 12.0368 | + | 4.62325i | 0.400561 | + | 0.153852i | ||||
\(904\) | 30.4165 | − | 35.1025i | 1.01164 | − | 1.16749i | ||||
\(905\) | −2.39973 | + | 2.76944i | −0.0797698 | + | 0.0920593i | ||||
\(906\) | −10.0644 | − | 3.86567i | −0.334369 | − | 0.128428i | ||||
\(907\) | 24.1018 | − | 15.4893i | 0.800286 | − | 0.514313i | −0.0754229 | − | 0.997152i | \(-0.524031\pi\) |
0.875709 | + | 0.482839i | \(0.160394\pi\) | |||||||
\(908\) | − | 22.9748i | − | 0.762445i | ||||||
\(909\) | −0.287599 | + | 14.7943i | −0.00953905 | + | 0.490696i | ||||
\(910\) | −1.03943 | + | 0.668000i | −0.0344567 | + | 0.0221440i | ||||
\(911\) | −3.50543 | − | 11.9384i | −0.116140 | − | 0.395537i | 0.880820 | − | 0.473451i | \(-0.156992\pi\) |
−0.996960 | + | 0.0779146i | \(0.975174\pi\) | |||||||
\(912\) | 2.14517 | + | 1.63862i | 0.0710336 | + | 0.0542602i | ||||
\(913\) | −3.25409 | + | 5.06346i | −0.107695 | + | 0.167576i | ||||
\(914\) | −0.256505 | − | 1.78403i | −0.00848442 | − | 0.0590104i | ||||
\(915\) | 18.6701 | − | 6.75763i | 0.617214 | − | 0.223400i | ||||
\(916\) | −37.8483 | + | 17.2847i | −1.25054 | + | 0.571104i | ||||
\(917\) | 16.1063 | − | 4.72923i | 0.531876 | − | 0.156173i | ||||
\(918\) | 4.06468 | + | 11.9508i | 0.134154 | + | 0.394437i | ||||
\(919\) | 6.41266 | + | 5.55660i | 0.211534 | + | 0.183295i | 0.754183 | − | 0.656664i | \(-0.228033\pi\) |
−0.542649 | + | 0.839960i | \(0.682579\pi\) | |||||||
\(920\) | −16.3030 | − | 2.34402i | −0.537495 | − | 0.0772802i | ||||
\(921\) | −27.9647 | − | 21.3613i | −0.921468 | − | 0.703879i | ||||
\(922\) | 2.46576 | − | 8.39761i | 0.0812055 | − | 0.276560i | ||||
\(923\) | 0.626555 | − | 0.723083i | 0.0206233 | − | 0.0238006i | ||||
\(924\) | 2.97047 | − | 2.17894i | 0.0977211 | − | 0.0716818i | ||||
\(925\) | −27.3978 | − | 17.6075i | −0.900834 | − | 0.578931i | ||||
\(926\) | 8.21328 | − | 12.7801i | 0.269905 | − | 0.419981i | ||||
\(927\) | 10.3531 | − | 32.8813i | 0.340042 | − | 1.07996i | ||||
\(928\) | 15.7912 | − | 7.21162i | 0.518373 | − | 0.236733i | ||||
\(929\) | −20.1405 | − | 23.2433i | −0.660787 | − | 0.762589i | 0.322118 | − | 0.946699i | \(-0.395605\pi\) |
−0.982906 | + | 0.184110i | \(0.941060\pi\) | |||||||
\(930\) | −8.33251 | − | 1.89762i | −0.273234 | − | 0.0622255i | ||||
\(931\) | −2.12057 | − | 2.44727i | −0.0694988 | − | 0.0802059i | ||||
\(932\) | −13.1556 | + | 3.86283i | −0.430926 | + | 0.126531i | ||||
\(933\) | 39.6922 | − | 21.1754i | 1.29946 | − | 0.693252i | ||||
\(934\) | −14.4410 | − | 2.07630i | −0.472523 | − | 0.0679385i | ||||
\(935\) | 1.73806 | + | 0.793747i | 0.0568408 | + | 0.0259583i | ||||
\(936\) | −2.14695 | − | 2.57727i | −0.0701753 | − | 0.0842408i | ||||
\(937\) | − | 15.6119i | − | 0.510017i | −0.966939 | − | 0.255009i | \(-0.917922\pi\) | ||
0.966939 | − | 0.255009i | \(-0.0820783\pi\) | |||||||
\(938\) | 8.04741 | − | 15.0931i | 0.262757 | − | 0.492806i | ||||
\(939\) | −17.5440 | − | 17.8884i | −0.572527 | − | 0.583765i | ||||
\(940\) | 13.7514 | − | 11.9156i | 0.448521 | − | 0.388646i | ||||
\(941\) | −15.6380 | + | 34.2424i | −0.509784 | + | 1.11627i | 0.463381 | + | 0.886159i | \(0.346636\pi\) |
−0.973164 | + | 0.230111i | \(0.926091\pi\) | |||||||
\(942\) | −11.8600 | − | 16.1683i | −0.386419 | − | 0.526791i | ||||
\(943\) | 6.82322 | − | 23.2377i | 0.222195 | − | 0.756725i | ||||
\(944\) | 5.69834 | + | 19.4067i | 0.185465 | + | 0.631636i | ||||
\(945\) | 20.4705 | + | 2.06540i | 0.665906 | + | 0.0671873i | ||||
\(946\) | −0.333254 | − | 0.518553i | −0.0108350 | − | 0.0168596i | ||||
\(947\) | 5.55250 | − | 4.81127i | 0.180432 | − | 0.156345i | −0.559962 | − | 0.828518i | \(-0.689184\pi\) |
0.740394 | + | 0.672173i | \(0.234639\pi\) | |||||||
\(948\) | −6.18535 | + | 16.1038i | −0.200891 | + | 0.523028i | ||||
\(949\) | 1.38136 | − | 4.70446i | 0.0448407 | − | 0.152713i | ||||
\(950\) | 1.77287 | + | 1.13935i | 0.0575195 | + | 0.0369655i | ||||
\(951\) | −0.798527 | − | 3.85056i | −0.0258940 | − | 0.124863i | ||||
\(952\) | 4.00951 | − | 27.8868i | 0.129949 | − | 0.903815i | ||||
\(953\) | −43.0677 | − | 37.3184i | −1.39510 | − | 1.20886i | −0.949555 | − | 0.313601i | \(-0.898465\pi\) |
−0.445545 | − | 0.895260i | \(-0.646990\pi\) | |||||||
\(954\) | 0.703336 | − | 2.23378i | 0.0227713 | − | 0.0723213i | ||||
\(955\) | −3.33001 | − | 23.1607i | −0.107757 | − | 0.749464i | ||||
\(956\) | −6.30767 | + | 43.8708i | −0.204005 | + | 1.41888i | ||||
\(957\) | 2.18290 | − | 0.134815i | 0.0705632 | − | 0.00435795i | ||||
\(958\) | −6.26658 | − | 2.86185i | −0.202464 | − | 0.0924621i | ||||
\(959\) | 5.65089 | + | 19.2452i | 0.182477 | + | 0.621458i | ||||
\(960\) | −0.670506 | − | 0.257536i | −0.0216405 | − | 0.00831194i | ||||
\(961\) | −3.33244 | + | 7.29703i | −0.107498 | + | 0.235388i | ||||
\(962\) | −2.87132 | + | 0.412834i | −0.0925751 | + | 0.0133103i | ||||
\(963\) | −49.5911 | − | 33.2497i | −1.59805 | − | 1.07146i | ||||
\(964\) | 0.767618 | + | 5.33890i | 0.0247233 | + | 0.171955i | ||||
\(965\) | −20.1564 | + | 5.91845i | −0.648857 | + | 0.190522i | ||||
\(966\) | −4.67724 | + | 20.5379i | −0.150488 | + | 0.660796i | ||||
\(967\) | 54.3513 | 1.74782 | 0.873910 | − | 0.486089i | \(-0.161577\pi\) | ||||
0.873910 | + | 0.486089i | \(0.161577\pi\) | |||||||
\(968\) | 25.0487 | 0.805097 | ||||||||
\(969\) | 5.92060 | + | 1.34834i | 0.190197 | + | 0.0433150i | ||||
\(970\) | 1.92793 | − | 0.880458i | 0.0619023 | − | 0.0282698i | ||||
\(971\) | −22.5008 | − | 19.4971i | −0.722086 | − | 0.625691i | 0.214257 | − | 0.976777i | \(-0.431267\pi\) |
−0.936343 | + | 0.351086i | \(0.885812\pi\) | |||||||
\(972\) | 0.562792 | + | 24.6727i | 0.0180516 | + | 0.791376i | ||||
\(973\) | 6.17730 | + | 13.5264i | 0.198035 | + | 0.433637i | ||||
\(974\) | 11.8447 | + | 18.4307i | 0.379529 | + | 0.590558i | ||||
\(975\) | 2.05356 | + | 2.09387i | 0.0657667 | + | 0.0670576i | ||||
\(976\) | − | 15.6743i | − | 0.501721i | ||||||
\(977\) | 5.90775 | + | 9.19264i | 0.189006 | + | 0.294099i | 0.922805 | − | 0.385268i | \(-0.125891\pi\) |
−0.733799 | + | 0.679367i | \(0.762255\pi\) | |||||||
\(978\) | −0.587505 | + | 1.05151i | −0.0187863 | + | 0.0336236i | ||||
\(979\) | 5.90110 | − | 0.848450i | 0.188600 | − | 0.0271166i | ||||
\(980\) | −5.66281 | − | 3.63927i | −0.180892 | − | 0.116252i | ||||
\(981\) | 1.27209 | + | 10.2594i | 0.0406146 | + | 0.327559i | ||||
\(982\) | −16.4867 | − | 7.52923i | −0.526112 | − | 0.240267i | ||||
\(983\) | 19.1103 | + | 41.8458i | 0.609525 | + | 1.33467i | 0.922898 | + | 0.385044i | \(0.125814\pi\) |
−0.313373 | + | 0.949630i | \(0.601459\pi\) | |||||||
\(984\) | 8.13318 | − | 14.5567i | 0.259276 | − | 0.464050i | ||||
\(985\) | −2.99756 | + | 6.56374i | −0.0955102 | + | 0.209138i | ||||
\(986\) | 4.83946 | − | 5.58504i | 0.154120 | − | 0.177864i | ||||
\(987\) | −31.1506 | − | 42.4664i | −0.991533 | − | 1.35172i | ||||
\(988\) | −0.705673 | + | 0.101460i | −0.0224504 | + | 0.00322789i | ||||
\(989\) | −12.8437 | − | 3.77126i | −0.408407 | − | 0.119919i | ||||
\(990\) | −0.730665 | − | 0.658420i | −0.0232221 | − | 0.0209260i | ||||
\(991\) | −38.9588 | − | 5.60142i | −1.23757 | − | 0.177935i | −0.507705 | − | 0.861531i | \(-0.669506\pi\) |
−0.729861 | + | 0.683596i | \(0.760415\pi\) | |||||||
\(992\) | −19.2731 | + | 29.9896i | −0.611923 | + | 0.952170i | ||||
\(993\) | 8.61081 | + | 41.5220i | 0.273256 | + | 1.31766i | ||||
\(994\) | −3.96903 | − | 1.16541i | −0.125890 | − | 0.0369646i | ||||
\(995\) | −0.604523 | − | 1.32372i | −0.0191647 | − | 0.0419648i | ||||
\(996\) | −3.22190 | + | 39.6313i | −0.102090 | + | 1.25577i | ||||
\(997\) | 24.1443 | − | 15.5166i | 0.764657 | − | 0.491415i | −0.0992526 | − | 0.995062i | \(-0.531645\pi\) |
0.863909 | + | 0.503647i | \(0.168009\pi\) | |||||||
\(998\) | −3.47129 | + | 3.00789i | −0.109882 | + | 0.0952130i | ||||
\(999\) | 41.7027 | + | 24.3758i | 1.31942 | + | 0.771217i |
(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 | 201.2.j.a.161.8 | yes | 200 | |
3.2 | odd | 2 | inner | 201.2.j.a.161.13 | yes | 200 | |
67.5 | odd | 22 | inner | 201.2.j.a.5.13 | yes | 200 | |
201.5 | even | 22 | inner | 201.2.j.a.5.8 | ✓ | 200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.2.j.a.5.8 | ✓ | 200 | 201.5 | even | 22 | inner | |
201.2.j.a.5.13 | yes | 200 | 67.5 | odd | 22 | inner | |
201.2.j.a.161.8 | yes | 200 | 1.1 | even | 1 | trivial | |
201.2.j.a.161.13 | yes | 200 | 3.2 | odd | 2 | inner |