Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [192,2,Mod(11,192)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(192, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("192.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 192 = 2^{6} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 192.s (of order \(16\), degree \(8\), 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: | \(1.53312771881\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 59.20 | ||
Character | \(\chi\) | \(=\) | 192.59 |
Dual form | 192.2.s.a.179.20 |
$q$-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 \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(133\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.596586 | + | 1.28222i | 0.421850 | + | 0.906666i | ||||
\(3\) | 0.791381 | + | 1.54069i | 0.456904 | + | 0.889516i | ||||
\(4\) | −1.28817 | + | 1.52991i | −0.644085 | + | 0.764954i | ||||
\(5\) | 0.236051 | − | 1.18671i | 0.105565 | − | 0.530713i | −0.891424 | − | 0.453171i | \(-0.850293\pi\) |
0.996989 | − | 0.0775422i | \(-0.0247072\pi\) | |||||||
\(6\) | −1.50337 | + | 1.93388i | −0.613749 | + | 0.789502i | ||||
\(7\) | 1.67303 | + | 0.692992i | 0.632346 | + | 0.261926i | 0.675749 | − | 0.737131i | \(-0.263820\pi\) |
−0.0434036 | + | 0.999058i | \(0.513820\pi\) | |||||||
\(8\) | −2.73018 | − | 0.738993i | −0.965265 | − | 0.261273i | ||||
\(9\) | −1.74743 | + | 2.43854i | −0.582478 | + | 0.812847i | ||||
\(10\) | 1.66245 | − | 0.405306i | 0.525712 | − | 0.128169i | ||||
\(11\) | 0.195719 | + | 0.292915i | 0.0590116 | + | 0.0883172i | 0.859802 | − | 0.510628i | \(-0.170587\pi\) |
−0.800790 | + | 0.598945i | \(0.795587\pi\) | |||||||
\(12\) | −3.37654 | − | 0.773926i | −0.974724 | − | 0.223413i | ||||
\(13\) | 1.51912 | − | 0.302171i | 0.421327 | − | 0.0838072i | 0.0201268 | − | 0.999797i | \(-0.493593\pi\) |
0.401201 | + | 0.915990i | \(0.368593\pi\) | |||||||
\(14\) | 0.109540 | + | 2.55862i | 0.0292758 | + | 0.683820i | ||||
\(15\) | 2.01516 | − | 0.575458i | 0.520311 | − | 0.148583i | ||||
\(16\) | −0.681239 | − | 3.94156i | −0.170310 | − | 0.985391i | ||||
\(17\) | −5.35769 | − | 5.35769i | −1.29943 | − | 1.29943i | −0.928767 | − | 0.370664i | \(-0.879130\pi\) |
−0.370664 | − | 0.928767i | \(-0.620870\pi\) | |||||||
\(18\) | −4.16924 | − | 0.785792i | −0.982698 | − | 0.185213i | ||||
\(19\) | 0.449975 | − | 0.0895056i | 0.103231 | − | 0.0205340i | −0.143204 | − | 0.989693i | \(-0.545741\pi\) |
0.246436 | + | 0.969159i | \(0.420741\pi\) | |||||||
\(20\) | 1.51148 | + | 1.88982i | 0.337978 | + | 0.422577i | ||||
\(21\) | 0.256320 | + | 3.12604i | 0.0559336 | + | 0.682157i | ||||
\(22\) | −0.258817 | + | 0.425704i | −0.0551801 | + | 0.0907604i | ||||
\(23\) | 5.61589 | − | 2.32618i | 1.17099 | − | 0.485042i | 0.289473 | − | 0.957186i | \(-0.406520\pi\) |
0.881521 | + | 0.472144i | \(0.156520\pi\) | |||||||
\(24\) | −1.02206 | − | 4.79118i | −0.208626 | − | 0.977995i | ||||
\(25\) | 3.26684 | + | 1.35317i | 0.653367 | + | 0.270634i | ||||
\(26\) | 1.29373 | + | 1.76757i | 0.253722 | + | 0.346649i | ||||
\(27\) | −5.13991 | − | 0.762435i | −0.989176 | − | 0.146731i | ||||
\(28\) | −3.21536 | + | 1.66689i | −0.607646 | + | 0.315013i | ||||
\(29\) | −2.38167 | − | 1.59138i | −0.442265 | − | 0.295512i | 0.314429 | − | 0.949281i | \(-0.398187\pi\) |
−0.756694 | + | 0.653769i | \(0.773187\pi\) | |||||||
\(30\) | 1.94008 | + | 2.24056i | 0.354208 | + | 0.409068i | ||||
\(31\) | 7.41430 | 1.33165 | 0.665823 | − | 0.746109i | \(-0.268080\pi\) | ||||
0.665823 | + | 0.746109i | \(0.268080\pi\) | |||||||
\(32\) | 4.64753 | − | 3.22498i | 0.821574 | − | 0.570101i | ||||
\(33\) | −0.296402 | + | 0.533350i | −0.0515969 | + | 0.0928443i | ||||
\(34\) | 3.67341 | − | 10.0661i | 0.629984 | − | 1.72631i | ||||
\(35\) | 1.21730 | − | 1.82182i | 0.205761 | − | 0.307944i | ||||
\(36\) | −1.47975 | − | 5.81467i | −0.246625 | − | 0.969111i | ||||
\(37\) | −1.66041 | + | 8.34743i | −0.272969 | + | 1.37231i | 0.564323 | + | 0.825554i | \(0.309137\pi\) |
−0.837292 | + | 0.546755i | \(0.815863\pi\) | |||||||
\(38\) | 0.383215 | + | 0.523569i | 0.0621657 | + | 0.0849341i | ||||
\(39\) | 1.66775 | + | 2.10135i | 0.267054 | + | 0.336486i | ||||
\(40\) | −1.52143 | + | 3.06549i | −0.240560 | + | 0.484697i | ||||
\(41\) | 1.93381 | + | 4.66864i | 0.302011 | + | 0.729118i | 0.999916 | + | 0.0129287i | \(0.00411546\pi\) |
−0.697906 | + | 0.716190i | \(0.745885\pi\) | |||||||
\(42\) | −3.85534 | + | 2.19361i | −0.594893 | + | 0.338481i | ||||
\(43\) | −1.78480 | − | 2.67114i | −0.272179 | − | 0.407345i | 0.670049 | − | 0.742317i | \(-0.266273\pi\) |
−0.942228 | + | 0.334972i | \(0.891273\pi\) | |||||||
\(44\) | −0.700253 | − | 0.0778912i | −0.105567 | − | 0.0117425i | ||||
\(45\) | 2.48136 | + | 2.64932i | 0.369899 | + | 0.394937i | ||||
\(46\) | 6.33304 | + | 5.81304i | 0.933755 | + | 0.857086i | ||||
\(47\) | 0.866687 | − | 0.866687i | 0.126419 | − | 0.126419i | −0.641066 | − | 0.767486i | \(-0.721508\pi\) |
0.767486 | + | 0.641066i | \(0.221508\pi\) | |||||||
\(48\) | 5.53359 | − | 4.16885i | 0.798706 | − | 0.601722i | ||||
\(49\) | −2.63096 | − | 2.63096i | −0.375851 | − | 0.375851i | ||||
\(50\) | 0.213893 | + | 4.99608i | 0.0302490 | + | 0.706552i | ||||
\(51\) | 4.01455 | − | 12.4945i | 0.562150 | − | 1.74958i | ||||
\(52\) | −1.49459 | + | 2.71336i | −0.207262 | + | 0.376275i | ||||
\(53\) | 0.141316 | − | 0.0944244i | 0.0194113 | − | 0.0129702i | −0.545827 | − | 0.837898i | \(-0.683784\pi\) |
0.565238 | + | 0.824928i | \(0.308784\pi\) | |||||||
\(54\) | −2.08879 | − | 7.04535i | −0.284249 | − | 0.958751i | ||||
\(55\) | 0.393805 | − | 0.163119i | 0.0531007 | − | 0.0219950i | ||||
\(56\) | −4.05556 | − | 3.12835i | −0.541947 | − | 0.418043i | ||||
\(57\) | 0.494002 | + | 0.622438i | 0.0654321 | + | 0.0824439i | ||||
\(58\) | 0.619627 | − | 4.00322i | 0.0813610 | − | 0.525649i | ||||
\(59\) | −8.97405 | − | 1.78505i | −1.16832 | − | 0.232394i | −0.427449 | − | 0.904039i | \(-0.640588\pi\) |
−0.740872 | + | 0.671646i | \(0.765588\pi\) | |||||||
\(60\) | −1.71546 | + | 3.82429i | −0.221465 | + | 0.493714i | ||||
\(61\) | −11.0615 | − | 7.39103i | −1.41627 | − | 0.946324i | −0.999300 | − | 0.0374060i | \(-0.988091\pi\) |
−0.416974 | − | 0.908918i | \(-0.636909\pi\) | |||||||
\(62\) | 4.42327 | + | 9.50675i | 0.561756 | + | 1.20736i | ||||
\(63\) | −4.61340 | + | 2.86879i | −0.581233 | + | 0.361434i | ||||
\(64\) | 6.90778 | + | 4.03517i | 0.863473 | + | 0.504396i | ||||
\(65\) | − | 1.87408i | − | 0.232451i | ||||||
\(66\) | −0.860700 | − | 0.0618625i | −0.105945 | − | 0.00761475i | ||||
\(67\) | −2.80422 | + | 4.19682i | −0.342590 | + | 0.512723i | −0.962257 | − | 0.272142i | \(-0.912268\pi\) |
0.619667 | + | 0.784865i | \(0.287268\pi\) | |||||||
\(68\) | 15.0984 | − | 1.29516i | 1.83095 | − | 0.157061i | ||||
\(69\) | 8.02822 | + | 6.81144i | 0.966485 | + | 0.820001i | ||||
\(70\) | 3.06220 | + | 0.473973i | 0.366003 | + | 0.0566507i | ||||
\(71\) | 2.24207 | − | 5.41285i | 0.266085 | − | 0.642387i | −0.733207 | − | 0.680006i | \(-0.761977\pi\) |
0.999292 | + | 0.0376191i | \(0.0119773\pi\) | |||||||
\(72\) | 6.57287 | − | 5.36632i | 0.774620 | − | 0.632426i | ||||
\(73\) | −6.08575 | − | 14.6923i | −0.712283 | − | 1.71960i | −0.694217 | − | 0.719766i | \(-0.744249\pi\) |
−0.0180664 | − | 0.999837i | \(-0.505751\pi\) | |||||||
\(74\) | −11.6938 | + | 2.85096i | −1.35938 | + | 0.331417i | ||||
\(75\) | 0.500503 | + | 6.10404i | 0.0577931 | + | 0.704834i | ||||
\(76\) | −0.442709 | + | 0.803719i | −0.0507822 | + | 0.0921929i | ||||
\(77\) | 0.124457 | + | 0.625687i | 0.0141832 | + | 0.0713037i | ||||
\(78\) | −1.69944 | + | 3.39206i | −0.192423 | + | 0.384075i | ||||
\(79\) | 5.00420 | − | 5.00420i | 0.563016 | − | 0.563016i | −0.367147 | − | 0.930163i | \(-0.619665\pi\) |
0.930163 | + | 0.367147i | \(0.119665\pi\) | |||||||
\(80\) | −4.83830 | − | 0.121978i | −0.540938 | − | 0.0136375i | ||||
\(81\) | −2.89295 | − | 8.52237i | −0.321439 | − | 0.946930i | ||||
\(82\) | −4.83253 | + | 5.26481i | −0.533663 | + | 0.581402i | ||||
\(83\) | 1.64358 | + | 8.26285i | 0.180407 | + | 0.906966i | 0.959854 | + | 0.280498i | \(0.0904998\pi\) |
−0.779448 | + | 0.626467i | \(0.784500\pi\) | |||||||
\(84\) | −5.11273 | − | 3.63472i | −0.557845 | − | 0.396580i | ||||
\(85\) | −7.62272 | + | 5.09334i | −0.826800 | + | 0.552450i | ||||
\(86\) | 2.36020 | − | 3.88206i | 0.254507 | − | 0.418614i | ||||
\(87\) | 0.567013 | − | 4.92880i | 0.0607902 | − | 0.528423i | ||||
\(88\) | −0.317888 | − | 0.944346i | −0.0338869 | − | 0.100668i | ||||
\(89\) | −4.01147 | + | 9.68454i | −0.425215 | + | 1.02656i | 0.555571 | + | 0.831469i | \(0.312500\pi\) |
−0.980785 | + | 0.195090i | \(0.937500\pi\) | |||||||
\(90\) | −1.91666 | + | 4.76219i | −0.202034 | + | 0.501979i | ||||
\(91\) | 2.75093 | + | 0.547194i | 0.288376 | + | 0.0573615i | ||||
\(92\) | −3.67538 | + | 11.5883i | −0.383185 | + | 1.20817i | ||||
\(93\) | 5.86753 | + | 11.4231i | 0.608435 | + | 1.18452i | ||||
\(94\) | 1.62834 | + | 0.594228i | 0.167950 | + | 0.0612900i | ||||
\(95\) | − | 0.555118i | − | 0.0569539i | ||||||
\(96\) | 8.64665 | + | 4.60820i | 0.882495 | + | 0.470322i | ||||
\(97\) | − | 0.511477i | − | 0.0519326i | −0.999663 | − | 0.0259663i | \(-0.991734\pi\) | ||
0.999663 | − | 0.0259663i | \(-0.00826626\pi\) | |||||||
\(98\) | 1.80387 | − | 4.94305i | 0.182218 | − | 0.499324i | ||||
\(99\) | −1.05629 | − | 0.0345795i | −0.106161 | − | 0.00347537i | ||||
\(100\) | −6.27846 | + | 3.25485i | −0.627846 | + | 0.325485i | ||||
\(101\) | −12.5246 | − | 2.49131i | −1.24625 | − | 0.247894i | −0.472468 | − | 0.881348i | \(-0.656637\pi\) |
−0.773781 | + | 0.633454i | \(0.781637\pi\) | |||||||
\(102\) | 18.4157 | − | 2.30651i | 1.82343 | − | 0.228379i | ||||
\(103\) | −4.30678 | + | 10.3975i | −0.424360 | + | 1.02450i | 0.556687 | + | 0.830723i | \(0.312072\pi\) |
−0.981046 | + | 0.193773i | \(0.937928\pi\) | |||||||
\(104\) | −4.37077 | − | 0.297634i | −0.428589 | − | 0.0291854i | ||||
\(105\) | 3.77020 | + | 0.433727i | 0.367934 | + | 0.0423274i | ||||
\(106\) | 0.205380 | + | 0.124866i | 0.0199483 | + | 0.0121280i | ||||
\(107\) | −13.0428 | + | 8.71489i | −1.26089 | + | 0.842500i | −0.992670 | − | 0.120857i | \(-0.961436\pi\) |
−0.268221 | + | 0.963357i | \(0.586436\pi\) | |||||||
\(108\) | 7.78753 | − | 6.88145i | 0.749356 | − | 0.662168i | ||||
\(109\) | 1.47832 | + | 7.43204i | 0.141598 | + | 0.711860i | 0.984721 | + | 0.174140i | \(0.0557144\pi\) |
−0.843123 | + | 0.537720i | \(0.819286\pi\) | |||||||
\(110\) | 0.444093 | + | 0.407629i | 0.0423426 | + | 0.0388659i | ||||
\(111\) | −14.1748 | + | 4.04783i | −1.34541 | + | 0.384203i | ||||
\(112\) | 1.59174 | − | 7.06644i | 0.150405 | − | 0.667716i | ||||
\(113\) | −0.382761 | + | 0.382761i | −0.0360071 | + | 0.0360071i | −0.724881 | − | 0.688874i | \(-0.758105\pi\) |
0.688874 | + | 0.724881i | \(0.258105\pi\) | |||||||
\(114\) | −0.503387 | + | 1.00476i | −0.0471465 | + | 0.0941040i | ||||
\(115\) | −1.43486 | − | 7.21354i | −0.133802 | − | 0.672666i | ||||
\(116\) | 5.50267 | − | 1.59377i | 0.510910 | − | 0.147978i | ||||
\(117\) | −1.91770 | + | 4.23245i | −0.177291 | + | 0.391290i | ||||
\(118\) | −3.06497 | − | 12.5716i | −0.282153 | − | 1.15731i | ||||
\(119\) | −5.25074 | − | 12.6764i | −0.481335 | − | 1.16204i | ||||
\(120\) | −5.92700 | + | 0.0819205i | −0.541059 | + | 0.00747828i | ||||
\(121\) | 4.16202 | − | 10.0480i | 0.378366 | − | 0.913456i | ||||
\(122\) | 2.87780 | − | 18.5926i | 0.260544 | − | 1.68329i | ||||
\(123\) | −5.66253 | + | 6.67407i | −0.510573 | + | 0.601780i | ||||
\(124\) | −9.55087 | + | 11.3432i | −0.857693 | + | 1.01865i | ||||
\(125\) | 5.73805 | − | 8.58759i | 0.513226 | − | 0.768098i | ||||
\(126\) | −6.43071 | − | 4.20390i | −0.572893 | − | 0.374513i | ||||
\(127\) | 20.3875i | 1.80909i | 0.426374 | + | 0.904547i | \(0.359791\pi\) | ||||
−0.426374 | + | 0.904547i | \(0.640209\pi\) | |||||||
\(128\) | −1.05288 | + | 11.2646i | −0.0930623 | + | 0.995660i | ||||
\(129\) | 2.70293 | − | 4.86370i | 0.237980 | − | 0.428225i | ||||
\(130\) | 2.40298 | − | 1.11805i | 0.210755 | − | 0.0980595i | ||||
\(131\) | 11.2463 | + | 7.51452i | 0.982592 | + | 0.656547i | 0.939509 | − | 0.342524i | \(-0.111282\pi\) |
0.0430832 | + | 0.999071i | \(0.486282\pi\) | |||||||
\(132\) | −0.434161 | − | 1.14051i | −0.0377888 | − | 0.0992688i | ||||
\(133\) | 0.814849 | + | 0.162083i | 0.0706563 | + | 0.0140544i | ||||
\(134\) | −7.05420 | − | 1.09186i | −0.609390 | − | 0.0943227i | ||||
\(135\) | −2.11807 | + | 5.91961i | −0.182295 | + | 0.509479i | ||||
\(136\) | 10.6682 | + | 18.5868i | 0.914788 | + | 1.59380i | ||||
\(137\) | 6.80483 | − | 2.81865i | 0.581376 | − | 0.240814i | −0.0725597 | − | 0.997364i | \(-0.523117\pi\) |
0.653935 | + | 0.756550i | \(0.273117\pi\) | |||||||
\(138\) | −3.94423 | + | 14.3576i | −0.335755 | + | 1.22220i | ||||
\(139\) | −6.22435 | + | 4.15897i | −0.527942 | + | 0.352760i | −0.790800 | − | 0.612075i | \(-0.790335\pi\) |
0.262858 | + | 0.964835i | \(0.415335\pi\) | |||||||
\(140\) | 1.21913 | + | 4.20917i | 0.103035 | + | 0.355740i | ||||
\(141\) | 2.02117 | + | 0.649414i | 0.170213 | + | 0.0546905i | ||||
\(142\) | 8.27804 | − | 0.354401i | 0.694678 | − | 0.0297406i | ||||
\(143\) | 0.385831 | + | 0.385831i | 0.0322648 | + | 0.0322648i | ||||
\(144\) | 10.8021 | + | 5.22639i | 0.900173 | + | 0.435532i | ||||
\(145\) | −2.45071 | + | 2.45071i | −0.203520 | + | 0.203520i | ||||
\(146\) | 15.2081 | − | 16.5685i | 1.25863 | − | 1.37122i | ||||
\(147\) | 1.97139 | − | 6.13557i | 0.162598 | − | 0.506053i | ||||
\(148\) | −10.6319 | − | 13.2932i | −0.873938 | − | 1.09269i | ||||
\(149\) | 2.17395 | + | 3.25354i | 0.178097 | + | 0.266540i | 0.909768 | − | 0.415117i | \(-0.136259\pi\) |
−0.731671 | + | 0.681658i | \(0.761259\pi\) | |||||||
\(150\) | −7.52813 | + | 4.28334i | −0.614669 | + | 0.349734i | ||||
\(151\) | −5.27703 | − | 12.7399i | −0.429438 | − | 1.03676i | −0.979466 | − | 0.201610i | \(-0.935383\pi\) |
0.550028 | − | 0.835147i | \(-0.314617\pi\) | |||||||
\(152\) | −1.29466 | − | 0.0881617i | −0.105011 | − | 0.00715086i | ||||
\(153\) | 22.4271 | − | 3.70273i | 1.81313 | − | 0.299348i | ||||
\(154\) | −0.728019 | + | 0.532858i | −0.0586654 | + | 0.0429389i | ||||
\(155\) | 1.75015 | − | 8.79862i | 0.140576 | − | 0.706722i | ||||
\(156\) | −5.36322 | − | 0.155391i | −0.429402 | − | 0.0124412i | ||||
\(157\) | 8.90728 | − | 13.3307i | 0.710878 | − | 1.06390i | −0.283598 | − | 0.958943i | \(-0.591528\pi\) |
0.994476 | − | 0.104961i | \(-0.0334717\pi\) | |||||||
\(158\) | 9.40191 | + | 3.43104i | 0.747976 | + | 0.272959i | ||||
\(159\) | 0.257313 | + | 0.142998i | 0.0204063 | + | 0.0113405i | ||||
\(160\) | −2.73006 | − | 6.27653i | −0.215830 | − | 0.496203i | ||||
\(161\) | 11.0076 | 0.867519 | ||||||||
\(162\) | 9.20165 | − | 8.79373i | 0.722950 | − | 0.690901i | ||||
\(163\) | 14.0405 | + | 9.38160i | 1.09974 | + | 0.734823i | 0.966604 | − | 0.256274i | \(-0.0824951\pi\) |
0.133137 | + | 0.991098i | \(0.457495\pi\) | |||||||
\(164\) | −9.63366 | − | 3.05544i | −0.752263 | − | 0.238590i | ||||
\(165\) | 0.562966 | + | 0.477641i | 0.0438268 | + | 0.0371843i | ||||
\(166\) | −9.61424 | + | 7.03694i | −0.746210 | + | 0.546172i | ||||
\(167\) | 2.92551 | + | 1.21179i | 0.226383 | + | 0.0937709i | 0.492992 | − | 0.870034i | \(-0.335903\pi\) |
−0.266609 | + | 0.963805i | \(0.585903\pi\) | |||||||
\(168\) | 1.61032 | − | 8.72406i | 0.124239 | − | 0.673076i | ||||
\(169\) | −9.79402 | + | 4.05682i | −0.753386 | + | 0.312063i | ||||
\(170\) | −11.0784 | − | 6.73537i | −0.849673 | − | 0.516580i | ||||
\(171\) | −0.568039 | + | 1.25369i | −0.0434390 | + | 0.0958719i | ||||
\(172\) | 6.38572 | + | 0.710302i | 0.486906 | + | 0.0541600i | ||||
\(173\) | 22.7182 | − | 4.51893i | 1.72723 | − | 0.343568i | 0.771147 | − | 0.636657i | \(-0.219683\pi\) |
0.956085 | + | 0.293089i | \(0.0946834\pi\) | |||||||
\(174\) | 6.65807 | − | 2.21342i | 0.504747 | − | 0.167799i | ||||
\(175\) | 4.52778 | + | 4.52778i | 0.342268 | + | 0.342268i | ||||
\(176\) | 1.02121 | − | 0.970986i | 0.0769767 | − | 0.0731908i | ||||
\(177\) | −4.35168 | − | 15.2388i | −0.327093 | − | 1.14542i | ||||
\(178\) | −14.8109 | + | 0.634085i | −1.11012 | + | 0.0475267i | ||||
\(179\) | −18.5016 | + | 3.68020i | −1.38288 | + | 0.275071i | −0.829801 | − | 0.558060i | \(-0.811546\pi\) |
−0.553076 | + | 0.833131i | \(0.686546\pi\) | |||||||
\(180\) | −7.24962 | + | 0.383477i | −0.540355 | + | 0.0285827i | ||||
\(181\) | −0.577414 | − | 0.864161i | −0.0429189 | − | 0.0642326i | 0.809390 | − | 0.587272i | \(-0.199798\pi\) |
−0.852309 | + | 0.523039i | \(0.824798\pi\) | |||||||
\(182\) | 0.939545 | + | 3.85374i | 0.0696437 | + | 0.285659i | ||||
\(183\) | 2.63344 | − | 22.8914i | 0.194670 | − | 1.69218i | ||||
\(184\) | −17.0514 | + | 2.20079i | −1.25705 | + | 0.162244i | ||||
\(185\) | 9.51404 | + | 3.94085i | 0.699486 | + | 0.289737i | ||||
\(186\) | −11.1464 | + | 14.3383i | −0.817296 | + | 1.05134i | ||||
\(187\) | 0.520743 | − | 2.61795i | 0.0380805 | − | 0.191444i | ||||
\(188\) | 0.209512 | + | 2.44239i | 0.0152802 | + | 0.178130i | ||||
\(189\) | −8.07087 | − | 4.83749i | −0.587069 | − | 0.351876i | ||||
\(190\) | 0.711783 | − | 0.331176i | 0.0516381 | − | 0.0240260i | ||||
\(191\) | 16.8412 | 1.21859 | 0.609293 | − | 0.792945i | \(-0.291453\pi\) | ||||
0.609293 | + | 0.792945i | \(0.291453\pi\) | |||||||
\(192\) | −0.750247 | + | 13.8361i | −0.0541444 | + | 0.998533i | ||||
\(193\) | −11.0212 | −0.793325 | −0.396662 | − | 0.917965i | \(-0.629832\pi\) | ||||
−0.396662 | + | 0.917965i | \(0.629832\pi\) | |||||||
\(194\) | 0.655825 | − | 0.305140i | 0.0470855 | − | 0.0219078i | ||||
\(195\) | 2.88737 | − | 1.48311i | 0.206769 | − | 0.106208i | ||||
\(196\) | 7.41424 | − | 0.636004i | 0.529588 | − | 0.0454289i | ||||
\(197\) | 0.621690 | − | 3.12545i | 0.0442936 | − | 0.222679i | −0.952298 | − | 0.305169i | \(-0.901287\pi\) |
0.996592 | + | 0.0824897i | \(0.0262872\pi\) | |||||||
\(198\) | −0.585831 | − | 1.37503i | −0.0416332 | − | 0.0977189i | ||||
\(199\) | −5.19611 | − | 2.15230i | −0.368342 | − | 0.152572i | 0.190832 | − | 0.981623i | \(-0.438882\pi\) |
−0.559174 | + | 0.829050i | \(0.688882\pi\) | |||||||
\(200\) | −7.91908 | − | 6.10856i | −0.559963 | − | 0.431941i | ||||
\(201\) | −8.68519 | − | 0.999151i | −0.612606 | − | 0.0704747i | ||||
\(202\) | −4.27763 | − | 17.5456i | −0.300973 | − | 1.23450i | ||||
\(203\) | −2.88179 | − | 4.31291i | −0.202262 | − | 0.302707i | ||||
\(204\) | 13.9440 | + | 22.2369i | 0.976276 | + | 1.55690i | ||||
\(205\) | 5.99680 | − | 1.19284i | 0.418834 | − | 0.0833114i | ||||
\(206\) | −15.9012 | + | 0.680765i | −1.10789 | + | 0.0474312i | ||||
\(207\) | −4.14092 | + | 17.7594i | −0.287814 | + | 1.23437i | ||||
\(208\) | −2.22591 | − | 5.78185i | −0.154339 | − | 0.400899i | ||||
\(209\) | 0.114286 | + | 0.114286i | 0.00790536 | + | 0.00790536i | ||||
\(210\) | 1.69312 | + | 5.09298i | 0.116836 | + | 0.351449i | ||||
\(211\) | −1.77557 | + | 0.353183i | −0.122235 | + | 0.0243141i | −0.255829 | − | 0.966722i | \(-0.582348\pi\) |
0.133594 | + | 0.991036i | \(0.457348\pi\) | |||||||
\(212\) | −0.0375784 | + | 0.337835i | −0.00258090 | + | 0.0232026i | ||||
\(213\) | 10.1138 | − | 0.829287i | 0.692989 | − | 0.0568218i | ||||
\(214\) | −18.9555 | − | 11.5245i | −1.29577 | − | 0.787797i | ||||
\(215\) | −3.59117 | + | 1.48751i | −0.244916 | + | 0.101447i | ||||
\(216\) | 13.4695 | + | 5.87994i | 0.916481 | + | 0.400079i | ||||
\(217\) | 12.4043 | + | 5.13805i | 0.842061 | + | 0.348793i | ||||
\(218\) | −8.64755 | + | 6.32939i | −0.585686 | + | 0.428680i | ||||
\(219\) | 17.8201 | − | 21.0034i | 1.20417 | − | 1.41928i | ||||
\(220\) | −0.257730 | + | 0.812611i | −0.0173761 | + | 0.0547862i | ||||
\(221\) | −9.75790 | − | 6.52002i | −0.656388 | − | 0.438584i | ||||
\(222\) | −13.6467 | − | 15.7603i | −0.915906 | − | 1.05776i | ||||
\(223\) | 11.7629 | 0.787703 | 0.393852 | − | 0.919174i | \(-0.371142\pi\) | ||||
0.393852 | + | 0.919174i | \(0.371142\pi\) | |||||||
\(224\) | 10.0103 | − | 2.17479i | 0.668844 | − | 0.145309i | ||||
\(225\) | −9.00833 | + | 5.60174i | −0.600556 | + | 0.373449i | ||||
\(226\) | −0.719134 | − | 0.262433i | −0.0478361 | − | 0.0174568i | ||||
\(227\) | −1.26179 | + | 1.88841i | −0.0837482 | + | 0.125338i | −0.870979 | − | 0.491321i | \(-0.836514\pi\) |
0.787230 | + | 0.616659i | \(0.211514\pi\) | |||||||
\(228\) | −1.58863 | − | 0.0460280i | −0.105210 | − | 0.00304828i | ||||
\(229\) | 4.61236 | − | 23.1879i | 0.304793 | − | 1.53230i | −0.459939 | − | 0.887951i | \(-0.652129\pi\) |
0.764732 | − | 0.644348i | \(-0.222871\pi\) | |||||||
\(230\) | 8.39331 | − | 6.14330i | 0.553439 | − | 0.405077i | ||||
\(231\) | −0.865496 | + | 0.686906i | −0.0569454 | + | 0.0451951i | ||||
\(232\) | 5.32638 | + | 6.10480i | 0.349694 | + | 0.400800i | ||||
\(233\) | 7.38685 | + | 17.8334i | 0.483929 | + | 1.16831i | 0.957728 | + | 0.287674i | \(0.0928821\pi\) |
−0.473800 | + | 0.880633i | \(0.657118\pi\) | |||||||
\(234\) | −6.57100 | + | 0.0661129i | −0.429560 | + | 0.00432193i | ||||
\(235\) | −0.823923 | − | 1.23309i | −0.0537468 | − | 0.0804378i | ||||
\(236\) | 14.2911 | − | 11.4300i | 0.930268 | − | 0.744031i | ||||
\(237\) | 11.6701 | + | 3.74968i | 0.758056 | + | 0.243568i | ||||
\(238\) | 13.1214 | − | 14.2952i | 0.850535 | − | 0.926618i | ||||
\(239\) | −16.8325 | + | 16.8325i | −1.08880 | + | 1.08880i | −0.0931492 | + | 0.995652i | \(0.529693\pi\) |
−0.995652 | + | 0.0931492i | \(0.970307\pi\) | |||||||
\(240\) | −3.64101 | − | 7.55084i | −0.235026 | − | 0.487404i | ||||
\(241\) | 7.55413 | + | 7.55413i | 0.486605 | + | 0.486605i | 0.907233 | − | 0.420628i | \(-0.138190\pi\) |
−0.420628 | + | 0.907233i | \(0.638190\pi\) | |||||||
\(242\) | 15.3668 | − | 0.657884i | 0.987813 | − | 0.0422904i | ||||
\(243\) | 10.8409 | − | 11.2016i | 0.695443 | − | 0.718581i | ||||
\(244\) | 25.5566 | − | 7.40212i | 1.63610 | − | 0.473872i | ||||
\(245\) | −3.74322 | + | 2.50114i | −0.239146 | + | 0.159792i | ||||
\(246\) | −11.9358 | − | 3.27894i | −0.760999 | − | 0.209057i | ||||
\(247\) | 0.656519 | − | 0.271939i | 0.0417733 | − | 0.0173031i | ||||
\(248\) | −20.2424 | − | 5.47911i | −1.28539 | − | 0.347924i | ||||
\(249\) | −11.4298 | + | 9.07131i | −0.724332 | + | 0.574871i | ||||
\(250\) | 14.4344 | + | 2.23419i | 0.912912 | + | 0.141303i | ||||
\(251\) | 0.0778052 | + | 0.0154764i | 0.00491102 | + | 0.000976863i | 0.197545 | − | 0.980294i | \(-0.436703\pi\) |
−0.192634 | + | 0.981271i | \(0.561703\pi\) | |||||||
\(252\) | 1.55385 | − | 10.7536i | 0.0978830 | − | 0.677411i | ||||
\(253\) | 1.78051 | + | 1.18970i | 0.111940 | + | 0.0747958i | ||||
\(254\) | −26.1412 | + | 12.1629i | −1.64024 | + | 0.763167i | ||||
\(255\) | −13.8797 | − | 7.71345i | −0.869181 | − | 0.483035i | ||||
\(256\) | −15.0718 | + | 5.37029i | −0.941989 | + | 0.335643i | ||||
\(257\) | 12.0673i | 0.752736i | 0.926470 | + | 0.376368i | \(0.122827\pi\) | ||||
−0.926470 | + | 0.376368i | \(0.877173\pi\) | |||||||
\(258\) | 7.84886 | + | 0.564134i | 0.488649 | + | 0.0351215i | ||||
\(259\) | −8.56261 | + | 12.8149i | −0.532055 | + | 0.796276i | ||||
\(260\) | 2.86717 | + | 2.41413i | 0.177814 | + | 0.149718i | ||||
\(261\) | 8.04246 | − | 3.02697i | 0.497816 | − | 0.187365i | ||||
\(262\) | −2.92589 | + | 18.9033i | −0.180762 | + | 1.16785i | ||||
\(263\) | 6.59833 | − | 15.9298i | 0.406871 | − | 0.982272i | −0.579085 | − | 0.815267i | \(-0.696590\pi\) |
0.985956 | − | 0.167006i | \(-0.0534098\pi\) | |||||||
\(264\) | 1.20337 | − | 1.23710i | 0.0740624 | − | 0.0761384i | ||||
\(265\) | −0.0786965 | − | 0.189990i | −0.00483429 | − | 0.0116710i | ||||
\(266\) | 0.278301 | + | 1.14151i | 0.0170637 | + | 0.0699905i | ||||
\(267\) | −18.0954 | + | 1.48374i | −1.10742 | + | 0.0908034i | ||||
\(268\) | −2.80843 | − | 9.69642i | −0.171552 | − | 0.592303i | ||||
\(269\) | 1.04745 | + | 5.26591i | 0.0638644 | + | 0.321068i | 0.999490 | − | 0.0319252i | \(-0.0101638\pi\) |
−0.935626 | + | 0.352993i | \(0.885164\pi\) | |||||||
\(270\) | −8.85385 | + | 0.815728i | −0.538828 | + | 0.0496436i | ||||
\(271\) | 10.9804 | − | 10.9804i | 0.667010 | − | 0.667010i | −0.290013 | − | 0.957023i | \(-0.593660\pi\) |
0.957023 | + | 0.290013i | \(0.0936596\pi\) | |||||||
\(272\) | −17.4678 | + | 24.7675i | −1.05914 | + | 1.50175i | ||||
\(273\) | 1.33398 | + | 4.67136i | 0.0807361 | + | 0.282724i | ||||
\(274\) | 7.67380 | + | 7.04371i | 0.463591 | + | 0.425526i | ||||
\(275\) | 0.243020 | + | 1.22175i | 0.0146547 | + | 0.0736741i | ||||
\(276\) | −20.7626 | + | 3.50816i | −1.24976 | + | 0.211166i | ||||
\(277\) | −16.5708 | + | 11.0722i | −0.995642 | + | 0.665267i | −0.942808 | − | 0.333337i | \(-0.891825\pi\) |
−0.0528340 | + | 0.998603i | \(0.516825\pi\) | |||||||
\(278\) | −9.04607 | − | 5.49978i | −0.542547 | − | 0.329855i | ||||
\(279\) | −12.9560 | + | 18.0801i | −0.775655 | + | 1.08242i | ||||
\(280\) | −4.66977 | + | 4.07432i | −0.279072 | + | 0.243487i | ||||
\(281\) | 0.813714 | − | 1.96448i | 0.0485421 | − | 0.117191i | −0.897748 | − | 0.440508i | \(-0.854798\pi\) |
0.946291 | + | 0.323318i | \(0.104798\pi\) | |||||||
\(282\) | 0.373113 | + | 2.97902i | 0.0222186 | + | 0.177398i | ||||
\(283\) | 27.0094 | + | 5.37250i | 1.60554 | + | 0.319362i | 0.914851 | − | 0.403791i | \(-0.132308\pi\) |
0.690688 | + | 0.723153i | \(0.257308\pi\) | |||||||
\(284\) | 5.39299 | + | 10.4028i | 0.320015 | + | 0.617294i | ||||
\(285\) | 0.855263 | − | 0.439310i | 0.0506614 | − | 0.0260225i | ||||
\(286\) | −0.264538 | + | 0.724902i | −0.0156425 | + | 0.0428644i | ||||
\(287\) | 9.15088i | 0.540160i | ||||||||
\(288\) | −0.257003 | + | 16.9686i | −0.0151440 | + | 0.999885i | ||||
\(289\) | 40.4097i | 2.37704i | ||||||||
\(290\) | −4.60440 | − | 1.68028i | −0.270380 | − | 0.0986697i | ||||
\(291\) | 0.788026 | − | 0.404773i | 0.0461949 | − | 0.0237282i | ||||
\(292\) | 30.3173 | + | 9.61553i | 1.77419 | + | 0.562706i | ||||
\(293\) | −21.8303 | − | 4.34232i | −1.27534 | − | 0.253681i | −0.489442 | − | 0.872036i | \(-0.662800\pi\) |
−0.785899 | + | 0.618354i | \(0.787800\pi\) | |||||||
\(294\) | 9.04324 | − | 1.13264i | 0.527413 | − | 0.0660569i | ||||
\(295\) | −4.23667 | + | 10.2282i | −0.246669 | + | 0.595511i | ||||
\(296\) | 10.7019 | − | 21.5630i | 0.622035 | − | 1.25332i | ||||
\(297\) | −0.782652 | − | 1.65478i | −0.0454141 | − | 0.0960201i | ||||
\(298\) | −2.87480 | + | 4.72849i | −0.166533 | + | 0.273914i | ||||
\(299\) | 7.82830 | − | 5.23070i | 0.452722 | − | 0.302499i | ||||
\(300\) | −9.98336 | − | 7.09732i | −0.576390 | − | 0.409764i | ||||
\(301\) | −1.13494 | − | 5.70574i | −0.0654170 | − | 0.328873i | ||||
\(302\) | 13.1871 | − | 14.3667i | 0.758832 | − | 0.826713i | ||||
\(303\) | −6.07344 | − | 21.2681i | −0.348910 | − | 1.22182i | ||||
\(304\) | −0.659333 | − | 1.71263i | −0.0378153 | − | 0.0982261i | ||||
\(305\) | −11.3821 | + | 11.3821i | −0.651736 | + | 0.651736i | ||||
\(306\) | 18.1274 | + | 26.5475i | 1.03628 | + | 1.51762i | ||||
\(307\) | −1.30264 | − | 6.54884i | −0.0743459 | − | 0.373762i | 0.925643 | − | 0.378397i | \(-0.123525\pi\) |
−0.999989 | + | 0.00463515i | \(0.998525\pi\) | |||||||
\(308\) | −1.11757 | − | 0.615584i | −0.0636792 | − | 0.0350761i | ||||
\(309\) | −19.4276 | + | 1.59297i | −1.10520 | + | 0.0906209i | ||||
\(310\) | 12.3259 | − | 3.00506i | 0.700063 | − | 0.170676i | ||||
\(311\) | 8.66081 | + | 20.9090i | 0.491110 | + | 1.18564i | 0.954156 | + | 0.299309i | \(0.0967563\pi\) |
−0.463047 | + | 0.886334i | \(0.653244\pi\) | |||||||
\(312\) | −3.00038 | − | 6.96953i | −0.169863 | − | 0.394572i | ||||
\(313\) | −0.187664 | + | 0.453060i | −0.0106074 | + | 0.0256085i | −0.929094 | − | 0.369842i | \(-0.879412\pi\) |
0.918487 | + | 0.395451i | \(0.129412\pi\) | |||||||
\(314\) | 22.4068 | + | 3.46817i | 1.26449 | + | 0.195720i | ||||
\(315\) | 2.31543 | + | 6.15195i | 0.130460 | + | 0.346623i | ||||
\(316\) | 1.20971 | + | 14.1022i | 0.0680514 | + | 0.793311i | ||||
\(317\) | −2.48905 | + | 3.72513i | −0.139799 | + | 0.209224i | −0.894762 | − | 0.446544i | \(-0.852655\pi\) |
0.754963 | + | 0.655767i | \(0.227655\pi\) | |||||||
\(318\) | −0.0298454 | + | 0.415243i | −0.00167365 | + | 0.0232857i | ||||
\(319\) | − | 1.00909i | − | 0.0564983i | ||||||
\(320\) | 6.41917 | − | 7.24503i | 0.358842 | − | 0.405009i | ||||
\(321\) | −23.7487 | − | 13.1980i | −1.32552 | − | 0.736641i | ||||
\(322\) | 6.56697 | + | 14.1141i | 0.365963 | + | 0.786550i | ||||
\(323\) | −2.89037 | − | 1.93128i | −0.160825 | − | 0.107460i | ||||
\(324\) | 16.7651 | + | 6.55231i | 0.931392 | + | 0.364017i | ||||
\(325\) | 5.37160 | + | 1.06848i | 0.297963 | + | 0.0592685i | ||||
\(326\) | −3.65286 | + | 23.6000i | −0.202313 | + | 1.30708i | ||||
\(327\) | −10.2805 | + | 8.15920i | −0.568514 | + | 0.451205i | ||||
\(328\) | −1.82957 | − | 14.1753i | −0.101021 | − | 0.782700i | ||||
\(329\) | 2.05060 | − | 0.849386i | 0.113053 | − | 0.0468282i | ||||
\(330\) | −0.276582 | + | 1.00680i | −0.0152254 | + | 0.0554225i | ||||
\(331\) | −4.72899 | + | 3.15981i | −0.259929 | + | 0.173679i | −0.678706 | − | 0.734410i | \(-0.737459\pi\) |
0.418777 | + | 0.908089i | \(0.362459\pi\) | |||||||
\(332\) | −14.7586 | − | 8.12942i | −0.809984 | − | 0.446160i | ||||
\(333\) | −17.4541 | − | 18.6356i | −0.956478 | − | 1.02122i | ||||
\(334\) | 0.191545 | + | 4.47408i | 0.0104809 | + | 0.244811i | ||||
\(335\) | 4.31846 | + | 4.31846i | 0.235943 | + | 0.235943i | ||||
\(336\) | 12.1469 | − | 3.13988i | 0.662665 | − | 0.171294i | ||||
\(337\) | 16.5565 | − | 16.5565i | 0.901889 | − | 0.901889i | −0.0937107 | − | 0.995599i | \(-0.529873\pi\) |
0.995599 | + | 0.0937107i | \(0.0298729\pi\) | |||||||
\(338\) | −11.0447 | − | 10.1378i | −0.600753 | − | 0.551426i | ||||
\(339\) | −0.892625 | − | 0.286805i | −0.0484807 | − | 0.0155771i | ||||
\(340\) | 2.02701 | − | 18.2231i | 0.109930 | − | 0.988288i | ||||
\(341\) | 1.45112 | + | 2.17176i | 0.0785827 | + | 0.117607i | ||||
\(342\) | −1.94639 | + | 0.0195832i | −0.105248 | + | 0.00105894i | ||||
\(343\) | −7.42938 | − | 17.9361i | −0.401149 | − | 0.968459i | ||||
\(344\) | 2.89887 | + | 8.61164i | 0.156296 | + | 0.464308i | ||||
\(345\) | 9.97828 | − | 7.91933i | 0.537213 | − | 0.426362i | ||||
\(346\) | 19.3476 | + | 26.4338i | 1.04013 | + | 1.42109i | ||||
\(347\) | −4.52316 | + | 22.7394i | −0.242816 | + | 1.22072i | 0.646317 | + | 0.763069i | \(0.276308\pi\) |
−0.889133 | + | 0.457649i | \(0.848692\pi\) | |||||||
\(348\) | 6.81020 | + | 7.21661i | 0.365065 | + | 0.386851i | ||||
\(349\) | 12.7156 | − | 19.0302i | 0.680649 | − | 1.01866i | −0.316884 | − | 0.948464i | \(-0.602636\pi\) |
0.997533 | − | 0.0701993i | \(-0.0223635\pi\) | |||||||
\(350\) | −3.10439 | + | 8.50682i | −0.165937 | + | 0.454709i | ||||
\(351\) | −8.03852 | + | 0.394906i | −0.429064 | + | 0.0210785i | ||||
\(352\) | 1.85426 | + | 0.730139i | 0.0988322 | + | 0.0389165i | ||||
\(353\) | 21.2771 | 1.13247 | 0.566233 | − | 0.824245i | \(-0.308400\pi\) | ||||
0.566233 | + | 0.824245i | \(0.308400\pi\) | |||||||
\(354\) | 16.9434 | − | 14.6711i | 0.900531 | − | 0.779760i | ||||
\(355\) | −5.89423 | − | 3.93840i | −0.312833 | − | 0.209029i | ||||
\(356\) | −9.64900 | − | 18.6125i | −0.511396 | − | 0.986461i | ||||
\(357\) | 15.3750 | − | 18.1216i | 0.813734 | − | 0.959098i | ||||
\(358\) | −15.7566 | − | 21.5276i | −0.832765 | − | 1.13777i | ||||
\(359\) | 15.0547 | + | 6.23585i | 0.794556 | + | 0.329116i | 0.742774 | − | 0.669543i | \(-0.233510\pi\) |
0.0517820 | + | 0.998658i | \(0.483510\pi\) | |||||||
\(360\) | −4.81673 | − | 9.06682i | −0.253864 | − | 0.477863i | ||||
\(361\) | −17.3592 | + | 7.19043i | −0.913644 | + | 0.378444i | ||||
\(362\) | 0.763566 | − | 1.25592i | 0.0401322 | − | 0.0660096i | ||||
\(363\) | 18.7746 | − | 1.53943i | 0.985411 | − | 0.0807990i | ||||
\(364\) | −4.38082 | + | 3.50379i | −0.229618 | + | 0.183649i | ||||
\(365\) | −18.8720 | + | 3.75388i | −0.987808 | + | 0.196487i | ||||
\(366\) | 30.9228 | − | 10.2800i | 1.61636 | − | 0.537346i | ||||
\(367\) | −17.9288 | − | 17.9288i | −0.935877 | − | 0.935877i | 0.0621874 | − | 0.998064i | \(-0.480192\pi\) |
−0.998064 | + | 0.0621874i | \(0.980192\pi\) | |||||||
\(368\) | −12.9945 | − | 20.5507i | −0.677388 | − | 1.07128i | ||||
\(369\) | −14.7639 | − | 3.44245i | −0.768576 | − | 0.179207i | ||||
\(370\) | 0.622922 | + | 14.5501i | 0.0323842 | + | 0.756426i | ||||
\(371\) | 0.301861 | − | 0.0600440i | 0.0156719 | − | 0.00311733i | ||||
\(372\) | −25.0347 | − | 5.73812i | −1.29799 | − | 0.297508i | ||||
\(373\) | 3.81912 | + | 5.71572i | 0.197747 | + | 0.295949i | 0.917070 | − | 0.398727i | \(-0.130548\pi\) |
−0.719323 | + | 0.694676i | \(0.755548\pi\) | |||||||
\(374\) | 3.66746 | − | 0.894128i | 0.189640 | − | 0.0462343i | ||||
\(375\) | 17.7718 | + | 2.04448i | 0.917730 | + | 0.105576i | ||||
\(376\) | −3.00669 | + | 1.72574i | −0.155058 | + | 0.0889981i | ||||
\(377\) | −4.09891 | − | 1.69782i | −0.211105 | − | 0.0874424i | ||||
\(378\) | 1.38775 | − | 13.2346i | 0.0713784 | − | 0.680714i | ||||
\(379\) | 4.14184 | − | 20.8224i | 0.212752 | − | 1.06958i | −0.715781 | − | 0.698325i | \(-0.753929\pi\) |
0.928533 | − | 0.371251i | \(-0.121071\pi\) | |||||||
\(380\) | 0.849280 | + | 0.715086i | 0.0435671 | + | 0.0366831i | ||||
\(381\) | −31.4107 | + | 16.1342i | −1.60922 | + | 0.826582i | ||||
\(382\) | 10.0472 | + | 21.5941i | 0.514061 | + | 1.10485i | ||||
\(383\) | 14.0621 | 0.718539 | 0.359270 | − | 0.933234i | \(-0.383026\pi\) | ||||
0.359270 | + | 0.933234i | \(0.383026\pi\) | |||||||
\(384\) | −18.1885 | + | 7.29244i | −0.928176 | + | 0.372141i | ||||
\(385\) | 0.771888 | 0.0393391 | ||||||||
\(386\) | −6.57511 | − | 14.1316i | −0.334664 | − | 0.719280i | ||||
\(387\) | 9.63249 | + | 0.315336i | 0.489647 | + | 0.0160294i | ||||
\(388\) | 0.782513 | + | 0.658869i | 0.0397261 | + | 0.0334490i | ||||
\(389\) | 1.56898 | − | 7.88779i | 0.0795504 | − | 0.399927i | −0.920409 | − | 0.390956i | \(-0.872144\pi\) |
0.999960 | − | 0.00897073i | \(-0.00285551\pi\) | |||||||
\(390\) | 3.62424 | + | 2.81744i | 0.183520 | + | 0.142667i | ||||
\(391\) | −42.5512 | − | 17.6253i | −2.15191 | − | 0.891348i | ||||
\(392\) | 5.23873 | + | 9.12724i | 0.264596 | + | 0.460995i | ||||
\(393\) | −2.67744 | + | 23.2738i | −0.135059 | + | 1.17401i | ||||
\(394\) | 4.37840 | − | 1.06746i | 0.220581 | − | 0.0537777i | ||||
\(395\) | −4.75728 | − | 7.11978i | −0.239365 | − | 0.358235i | ||||
\(396\) | 1.41359 | − | 1.57148i | 0.0710354 | − | 0.0789701i | ||||
\(397\) | 15.0464 | − | 2.99291i | 0.755157 | − | 0.150210i | 0.197525 | − | 0.980298i | \(-0.436710\pi\) |
0.557633 | + | 0.830088i | \(0.311710\pi\) | |||||||
\(398\) | −0.340210 | − | 7.94658i | −0.0170532 | − | 0.398326i | ||||
\(399\) | 0.395136 | + | 1.38370i | 0.0197815 | + | 0.0692715i | ||||
\(400\) | 3.10810 | − | 13.7983i | 0.155405 | − | 0.689914i | ||||
\(401\) | −6.24050 | − | 6.24050i | −0.311636 | − | 0.311636i | 0.533907 | − | 0.845543i | \(-0.320723\pi\) |
−0.845543 | + | 0.533907i | \(0.820723\pi\) | |||||||
\(402\) | −3.90034 | − | 11.7324i | −0.194531 | − | 0.585159i | ||||
\(403\) | 11.2632 | − | 2.24039i | 0.561059 | − | 0.111602i | ||||
\(404\) | 19.9453 | − | 15.9523i | 0.992317 | − | 0.793658i | ||||
\(405\) | −10.7965 | + | 1.42138i | −0.536481 | + | 0.0706289i | ||||
\(406\) | 3.81085 | − | 6.26811i | 0.189130 | − | 0.311081i | ||||
\(407\) | −2.77006 | + | 1.14740i | −0.137307 | + | 0.0568744i | ||||
\(408\) | −20.1938 | + | 31.1455i | −0.999742 | + | 1.54193i | ||||
\(409\) | −16.7368 | − | 6.93262i | −0.827583 | − | 0.342796i | −0.0716377 | − | 0.997431i | \(-0.522823\pi\) |
−0.755946 | + | 0.654634i | \(0.772823\pi\) | |||||||
\(410\) | 5.10709 | + | 6.97757i | 0.252221 | + | 0.344598i | ||||
\(411\) | 9.72787 | + | 8.25349i | 0.479841 | + | 0.407114i | ||||
\(412\) | −10.3593 | − | 19.9827i | −0.510368 | − | 0.984477i | ||||
\(413\) | −13.7768 | − | 9.20538i | −0.677913 | − | 0.452967i | ||||
\(414\) | −25.2419 | + | 5.28547i | −1.24057 | + | 0.259766i | ||||
\(415\) | 10.1936 | 0.500383 | ||||||||
\(416\) | 6.08564 | − | 6.30347i | 0.298373 | − | 0.309053i | ||||
\(417\) | −11.3335 | − | 6.29844i | −0.555004 | − | 0.308436i | ||||
\(418\) | −0.0783585 | + | 0.214722i | −0.00383264 | + | 0.0105024i | ||||
\(419\) | 19.6961 | − | 29.4773i | 0.962219 | − | 1.44006i | 0.0653003 | − | 0.997866i | \(-0.479199\pi\) |
0.896918 | − | 0.442196i | \(-0.145801\pi\) | |||||||
\(420\) | −5.52022 | + | 5.20935i | −0.269359 | + | 0.254190i | ||||
\(421\) | −2.22772 | + | 11.1995i | −0.108573 | + | 0.545832i | 0.887763 | + | 0.460301i | \(0.152259\pi\) |
−0.996336 | + | 0.0855306i | \(0.972741\pi\) | |||||||
\(422\) | −1.51214 | − | 2.06597i | −0.0736098 | − | 0.100570i | ||||
\(423\) | 0.598973 | + | 3.62793i | 0.0291231 | + | 0.176396i | ||||
\(424\) | −0.455597 | + | 0.153364i | −0.0221258 | + | 0.00744802i | ||||
\(425\) | −10.2528 | − | 24.7526i | −0.497336 | − | 1.20068i | ||||
\(426\) | 7.09710 | + | 12.4734i | 0.343856 | + | 0.604338i | ||||
\(427\) | −13.3842 | − | 20.0309i | −0.647708 | − | 0.969364i | ||||
\(428\) | 3.46830 | − | 31.1805i | 0.167646 | − | 1.50717i | ||||
\(429\) | −0.289106 | + | 0.899785i | −0.0139582 | + | 0.0434420i | ||||
\(430\) | −4.04976 | − | 3.71724i | −0.195297 | − | 0.179261i | ||||
\(431\) | 5.45637 | − | 5.45637i | 0.262824 | − | 0.262824i | −0.563376 | − | 0.826200i | \(-0.690498\pi\) |
0.826200 | + | 0.563376i | \(0.190498\pi\) | |||||||
\(432\) | 0.496324 | + | 20.7787i | 0.0238794 | + | 0.999715i | ||||
\(433\) | 6.70357 | + | 6.70357i | 0.322153 | + | 0.322153i | 0.849593 | − | 0.527439i | \(-0.176848\pi\) |
−0.527439 | + | 0.849593i | \(0.676848\pi\) | |||||||
\(434\) | 0.812161 | + | 18.9704i | 0.0389850 | + | 0.910607i | ||||
\(435\) | −5.71521 | − | 1.83633i | −0.274024 | − | 0.0880453i | ||||
\(436\) | −13.2747 | − | 7.31202i | −0.635741 | − | 0.350182i | ||||
\(437\) | 2.31881 | − | 1.54938i | 0.110924 | − | 0.0741168i | ||||
\(438\) | 37.5622 | + | 10.3189i | 1.79479 | + | 0.493055i | ||||
\(439\) | −1.64770 | + | 0.682501i | −0.0786406 | + | 0.0325740i | −0.421657 | − | 0.906755i | \(-0.638551\pi\) |
0.343016 | + | 0.939329i | \(0.388551\pi\) | |||||||
\(440\) | −1.19570 | + | 0.154327i | −0.0570029 | + | 0.00735723i | ||||
\(441\) | 11.0131 | − | 1.81827i | 0.524434 | − | 0.0865843i | ||||
\(442\) | 2.53866 | − | 16.4015i | 0.120752 | − | 0.780141i | ||||
\(443\) | 24.1233 | + | 4.79843i | 1.14613 | + | 0.227980i | 0.731391 | − | 0.681958i | \(-0.238871\pi\) |
0.414743 | + | 0.909938i | \(0.363871\pi\) | |||||||
\(444\) | 12.0667 | − | 26.9004i | 0.572662 | − | 1.27664i | ||||
\(445\) | 10.5458 | + | 7.04650i | 0.499920 | + | 0.334036i | ||||
\(446\) | 7.01760 | + | 15.0826i | 0.332293 | + | 0.714184i | ||||
\(447\) | −3.29227 | + | 5.92416i | −0.155719 | + | 0.280203i | ||||
\(448\) | 8.76059 | + | 11.5380i | 0.413899 | + | 0.545119i | ||||
\(449\) | 16.6611i | 0.786288i | 0.919477 | + | 0.393144i | \(0.128613\pi\) | ||||
−0.919477 | + | 0.393144i | \(0.871387\pi\) | |||||||
\(450\) | −12.5569 | − | 8.20873i | −0.591938 | − | 0.386963i | ||||
\(451\) | −0.989028 | + | 1.48019i | −0.0465715 | + | 0.0696992i | ||||
\(452\) | −0.0925283 | − | 1.07865i | −0.00435216 | − | 0.0507355i | ||||
\(453\) | 15.4520 | − | 18.2123i | 0.725999 | − | 0.855690i | ||||
\(454\) | −3.17412 | − | 0.491297i | −0.148969 | − | 0.0230577i | ||||
\(455\) | 1.29872 | − | 3.13539i | 0.0608850 | − | 0.146989i | ||||
\(456\) | −0.888738 | − | 2.06443i | −0.0416189 | − | 0.0966759i | ||||
\(457\) | −1.88990 | − | 4.56262i | −0.0884057 | − | 0.213430i | 0.873493 | − | 0.486837i | \(-0.161849\pi\) |
−0.961898 | + | 0.273407i | \(0.911849\pi\) | |||||||
\(458\) | 32.4836 | − | 7.91953i | 1.51786 | − | 0.370055i | ||||
\(459\) | 23.4532 | + | 31.6229i | 1.09470 | + | 1.47603i | ||||
\(460\) | 12.8844 | + | 7.09705i | 0.600738 | + | 0.330902i | ||||
\(461\) | −2.63011 | − | 13.2224i | −0.122496 | − | 0.615830i | −0.992445 | − | 0.122688i | \(-0.960848\pi\) |
0.869949 | − | 0.493142i | \(-0.164152\pi\) | |||||||
\(462\) | −1.39711 | − | 0.699956i | −0.0649993 | − | 0.0325649i | ||||
\(463\) | −30.3105 | + | 30.3105i | −1.40865 | + | 1.40865i | −0.641653 | + | 0.766995i | \(0.721751\pi\) |
−0.766995 | + | 0.641653i | \(0.778249\pi\) | |||||||
\(464\) | −4.65005 | + | 10.4716i | −0.215873 | + | 0.486133i | ||||
\(465\) | 14.9410 | − | 4.26662i | 0.692870 | − | 0.197860i | ||||
\(466\) | −18.4595 | + | 20.1107i | −0.855118 | + | 0.931612i | ||||
\(467\) | −0.567936 | − | 2.85521i | −0.0262809 | − | 0.132123i | 0.965417 | − | 0.260709i | \(-0.0839563\pi\) |
−0.991698 | + | 0.128586i | \(0.958956\pi\) | |||||||
\(468\) | −4.00494 | − | 8.38602i | −0.185129 | − | 0.387644i | ||||
\(469\) | −7.59991 | + | 5.07810i | −0.350931 | + | 0.234485i | ||||
\(470\) | 1.08955 | − | 1.79209i | 0.0502571 | − | 0.0826631i | ||||
\(471\) | 27.5875 | + | 3.17368i | 1.27116 | + | 0.146236i | ||||
\(472\) | 23.1816 | + | 11.5053i | 1.06702 | + | 0.529572i | ||||
\(473\) | 0.433096 | − | 1.04559i | 0.0199138 | − | 0.0480761i | ||||
\(474\) | 2.15433 | + | 17.2007i | 0.0989517 | + | 0.790052i | ||||
\(475\) | 1.59111 | + | 0.316492i | 0.0730052 | + | 0.0145216i | ||||
\(476\) | 26.1576 | + | 8.29621i | 1.19893 | + | 0.380256i | ||||
\(477\) | −0.0166828 | + | 0.509605i | −0.000763853 | + | 0.0233332i | ||||
\(478\) | −31.6249 | − | 11.5409i | −1.44649 | − | 0.527868i | ||||
\(479\) | − | 33.2241i | − | 1.51805i | −0.651063 | − | 0.759023i | \(-0.725677\pi\) | ||
0.651063 | − | 0.759023i | \(-0.274323\pi\) | |||||||
\(480\) | 7.50965 | − | 9.17329i | 0.342767 | − | 0.418702i | ||||
\(481\) | 13.1825i | 0.601068i | ||||||||
\(482\) | −5.17936 | + | 14.1927i | −0.235913 | + | 0.646462i | ||||
\(483\) | 8.71119 | + | 16.9592i | 0.396373 | + | 0.771672i | ||||
\(484\) | 10.0112 | + | 19.3111i | 0.455052 | + | 0.877776i | ||||
\(485\) | −0.606975 | − | 0.120735i | −0.0275613 | − | 0.00548229i | ||||
\(486\) | 20.8304 | + | 7.21767i | 0.944886 | + | 0.327400i | ||||
\(487\) | 1.13093 | − | 2.73032i | 0.0512475 | − | 0.123722i | −0.896182 | − | 0.443686i | \(-0.853671\pi\) |
0.947430 | + | 0.319963i | \(0.103671\pi\) | |||||||
\(488\) | 24.7379 | + | 28.3532i | 1.11983 | + | 1.28349i | ||||
\(489\) | −3.34268 | + | 29.0565i | −0.151161 | + | 1.31398i | ||||
\(490\) | −5.44017 | − | 3.30748i | −0.245762 | − | 0.149417i | ||||
\(491\) | −11.3505 | + | 7.58416i | −0.512241 | + | 0.342268i | −0.784676 | − | 0.619906i | \(-0.787171\pi\) |
0.272435 | + | 0.962174i | \(0.412171\pi\) | |||||||
\(492\) | −2.91642 | − | 17.2605i | −0.131482 | − | 0.778162i | ||||
\(493\) | 4.23413 | + | 21.2864i | 0.190696 | + | 0.958691i | ||||
\(494\) | 0.740356 | + | 0.679566i | 0.0333102 | + | 0.0305751i | ||||
\(495\) | −0.290375 | + | 1.24535i | −0.0130514 | + | 0.0559743i | ||||
\(496\) | −5.05091 | − | 29.2239i | −0.226792 | − | 1.31219i | ||||
\(497\) | 7.50211 | − | 7.50211i | 0.336516 | − | 0.336516i | ||||
\(498\) | −18.4502 | − | 9.24364i | −0.826775 | − | 0.414218i | ||||
\(499\) | 6.99769 | + | 35.1797i | 0.313259 | + | 1.57486i | 0.741346 | + | 0.671124i | \(0.234188\pi\) |
−0.428086 | + | 0.903738i | \(0.640812\pi\) | |||||||
\(500\) | 5.74665 | + | 19.8410i | 0.256998 | + | 0.887315i | ||||
\(501\) | 0.448209 | + | 5.46628i | 0.0200245 | + | 0.244216i | ||||
\(502\) | 0.0265734 | + | 0.108996i | 0.00118603 | + | 0.00486474i | ||||
\(503\) | 3.21744 | + | 7.76759i | 0.143459 | + | 0.346340i | 0.979234 | − | 0.202731i | \(-0.0649817\pi\) |
−0.835776 | + | 0.549071i | \(0.814982\pi\) | |||||||
\(504\) | 14.7154 | − | 4.42306i | 0.655477 | − | 0.197019i | ||||
\(505\) | −5.91292 | + | 14.2750i | −0.263121 | + | 0.635231i | ||||
\(506\) | −0.463227 | + | 2.99277i | −0.0205929 | + | 0.133045i | ||||
\(507\) | −14.0011 | − | 11.8790i | −0.621810 | − | 0.527567i | ||||
\(508\) | −31.1909 | − | 26.2625i | −1.38387 | − | 1.16521i | ||||
\(509\) | −6.20342 | + | 9.28407i | −0.274962 | + | 0.411509i | −0.943090 | − | 0.332536i | \(-0.892096\pi\) |
0.668129 | + | 0.744046i | \(0.267096\pi\) | |||||||
\(510\) | 1.60989 | − | 22.3986i | 0.0712871 | − | 0.991825i | ||||
\(511\) | − | 28.7980i | − | 1.27395i | ||||||
\(512\) | −15.8775 | − | 16.1215i | −0.701694 | − | 0.712478i | ||||
\(513\) | −2.38107 | + | 0.116974i | −0.105127 | + | 0.00516454i | ||||
\(514\) | −15.4729 | + | 7.19918i | −0.682480 | + | 0.317542i | ||||
\(515\) | 11.3222 | + | 7.56524i | 0.498915 | + | 0.333364i | ||||
\(516\) | 3.95918 | + | 10.4005i | 0.174293 | + | 0.457857i | ||||
\(517\) | 0.423493 | + | 0.0842380i | 0.0186252 | + | 0.00370478i | ||||
\(518\) | −21.5398 | − | 3.33397i | −0.946404 | − | 0.146486i | ||||
\(519\) | 24.9410 | + | 31.4254i | 1.09479 | + | 1.37942i | ||||
\(520\) | −1.38493 | + | 5.11658i | −0.0607333 | + | 0.224377i | ||||
\(521\) | −23.1719 | + | 9.59813i | −1.01518 | + | 0.420502i | −0.827342 | − | 0.561698i | \(-0.810148\pi\) |
−0.187838 | + | 0.982200i | \(0.560148\pi\) | |||||||
\(522\) | 8.67926 | + | 8.50635i | 0.379881 | + | 0.372313i | ||||
\(523\) | 2.25094 | − | 1.50403i | 0.0984265 | − | 0.0657665i | −0.505383 | − | 0.862895i | \(-0.668649\pi\) |
0.603809 | + | 0.797129i | \(0.293649\pi\) | |||||||
\(524\) | −25.9836 | + | 7.52580i | −1.13510 | + | 0.328766i | ||||
\(525\) | −3.39270 | + | 10.5591i | −0.148069 | + | 0.460837i | ||||
\(526\) | 24.3619 | − | 1.04299i | 1.06223 | − | 0.0454764i | ||||
\(527\) | −39.7235 | − | 39.7235i | −1.73038 | − | 1.73038i | ||||
\(528\) | 2.30415 | + | 0.804947i | 0.100275 | + | 0.0350308i | ||||
\(529\) | 9.86370 | − | 9.86370i | 0.428856 | − | 0.428856i | ||||
\(530\) | 0.196660 | − | 0.214252i | 0.00854235 | − | 0.00930650i | ||||
\(531\) | 20.0345 | − | 18.7643i | 0.869421 | − | 0.814302i | ||||
\(532\) | −1.29764 | + | 1.03785i | −0.0562597 | + | 0.0449966i | ||||
\(533\) | 4.34842 | + | 6.50786i | 0.188351 | + | 0.281887i | ||||
\(534\) | −12.6980 | − | 22.3171i | −0.549495 | − | 0.965757i | ||||
\(535\) | 7.26329 | + | 17.5351i | 0.314019 | + | 0.758110i | ||||
\(536\) | 10.7575 | − | 9.38577i | 0.464651 | − | 0.405404i | ||||
\(537\) | −20.3119 | − | 25.5928i | −0.876522 | − | 1.10441i | ||||
\(538\) | −6.12715 | + | 4.48463i | −0.264160 | + | 0.193346i | ||||
\(539\) | 0.255717 | − | 1.28558i | 0.0110145 | − | 0.0553737i | ||||
\(540\) | −6.32803 | − | 10.8659i | −0.272315 | − | 0.467595i | ||||
\(541\) | −10.1967 | + | 15.2604i | −0.438389 | + | 0.656096i | −0.983214 | − | 0.182454i | \(-0.941596\pi\) |
0.544825 | + | 0.838550i | \(0.316596\pi\) | |||||||
\(542\) | 20.6300 | + | 7.52849i | 0.886133 | + | 0.323376i | ||||
\(543\) | 0.874448 | − | 1.57350i | 0.0375262 | − | 0.0675251i | ||||
\(544\) | −42.1785 | − | 7.62157i | −1.80839 | − | 0.326772i | ||||
\(545\) | 9.16863 | 0.392741 | ||||||||
\(546\) | −5.19388 | + | 4.49732i | −0.222277 | + | 0.192468i | ||||
\(547\) | 9.39841 | + | 6.27982i | 0.401847 | + | 0.268506i | 0.740029 | − | 0.672575i | \(-0.234812\pi\) |
−0.338182 | + | 0.941081i | \(0.609812\pi\) | |||||||
\(548\) | −4.45349 | + | 14.0417i | −0.190244 | + | 0.599830i | ||||
\(549\) | 37.3525 | − | 14.0585i | 1.59416 | − | 0.600001i | ||||
\(550\) | −1.42156 | + | 1.04048i | −0.0606157 | + | 0.0443663i | ||||
\(551\) | −1.21413 | − | 0.502910i | −0.0517237 | − | 0.0214247i | ||||
\(552\) | −16.8849 | − | 24.5293i | −0.718669 | − | 1.04403i | ||||
\(553\) | 11.8400 | − | 4.90430i | 0.503490 | − | 0.208552i | ||||
\(554\) | −24.0829 | − | 14.6418i | −1.02319 | − | 0.622071i | ||||
\(555\) | 1.45762 | + | 17.7769i | 0.0618725 | + | 0.754586i | ||||
\(556\) | 1.65516 | − | 14.8801i | 0.0701945 | − | 0.631059i | ||||
\(557\) | 0.973075 | − | 0.193557i | 0.0412305 | − | 0.00820126i | −0.174432 | − | 0.984669i | \(-0.555809\pi\) |
0.215662 | + | 0.976468i | \(0.430809\pi\) | |||||||
\(558\) | −30.9119 | − | 5.82609i | −1.30861 | − | 0.246638i | ||||
\(559\) | −3.51846 | − | 3.51846i | −0.148815 | − | 0.148815i | ||||
\(560\) | −8.01009 | − | 3.55697i | −0.338488 | − | 0.150310i | ||||
\(561\) | 4.44555 | − | 1.26949i | 0.187691 | − | 0.0535981i | ||||
\(562\) | 3.00434 | − | 0.128622i | 0.126730 | − | 0.00542560i | ||||
\(563\) | −38.4068 | + | 7.63958i | −1.61865 | + | 0.321970i | −0.919526 | − | 0.393028i | \(-0.871427\pi\) |
−0.699126 | + | 0.714998i | \(0.746427\pi\) | |||||||
\(564\) | −3.59716 | + | 2.25565i | −0.151468 | + | 0.0949801i | ||||
\(565\) | 0.363875 | + | 0.544578i | 0.0153084 | + | 0.0229106i | ||||
\(566\) | 9.22470 | + | 37.8371i | 0.387743 | + | 1.59041i | ||||
\(567\) | 1.06594 | − | 16.2630i | 0.0447651 | − | 0.682981i | ||||
\(568\) | −10.1213 | + | 13.1212i | −0.424681 | + | 0.550552i | ||||
\(569\) | 1.65125 | + | 0.683971i | 0.0692241 | + | 0.0286736i | 0.417027 | − | 0.908894i | \(-0.363072\pi\) |
−0.347803 | + | 0.937568i | \(0.613072\pi\) | |||||||
\(570\) | 1.07353 | + | 0.834548i | 0.0449652 | + | 0.0349554i | ||||
\(571\) | 4.40514 | − | 22.1461i | 0.184349 | − | 0.926787i | −0.772236 | − | 0.635336i | \(-0.780862\pi\) |
0.956586 | − | 0.291451i | \(-0.0941382\pi\) | |||||||
\(572\) | −1.08730 | + | 0.0932704i | −0.0454624 | + | 0.00389983i | ||||
\(573\) | 13.3278 | + | 25.9470i | 0.556776 | + | 1.08395i | ||||
\(574\) | −11.7334 | + | 5.45929i | −0.489744 | + | 0.227866i | ||||
\(575\) | 21.4939 | 0.896358 | ||||||||
\(576\) | −21.9108 | + | 9.79371i | −0.912950 | + | 0.408071i | ||||
\(577\) | 33.8945 | 1.41105 | 0.705524 | − | 0.708687i | \(-0.250712\pi\) | ||||
0.705524 | + | 0.708687i | \(0.250712\pi\) | |||||||
\(578\) | −51.8141 | + | 24.1079i | −2.15518 | + | 1.00276i | ||||
\(579\) | −8.72198 | − | 16.9802i | −0.362473 | − | 0.705675i | ||||
\(580\) | −0.592431 | − | 6.90628i | −0.0245994 | − | 0.286768i | ||||
\(581\) | −2.97632 | + | 14.9630i | −0.123479 | + | 0.620769i | ||||
\(582\) | 0.989133 | + | 0.768939i | 0.0410009 | + | 0.0318736i | ||||
\(583\) | 0.0553166 | + | 0.0229129i | 0.00229098 | + | 0.000948955i | ||||
\(584\) | 5.75770 | + | 44.6100i | 0.238255 | + | 1.84597i | ||||
\(585\) | 4.57002 | + | 3.27483i | 0.188947 | + | 0.135398i | ||||
\(586\) | −7.45587 | − | 30.5818i | −0.307999 | − | 1.26332i | ||||
\(587\) | −4.76150 | − | 7.12609i | −0.196528 | − | 0.294125i | 0.720097 | − | 0.693874i | \(-0.244097\pi\) |
−0.916625 | + | 0.399749i | \(0.869097\pi\) | |||||||
\(588\) | 6.84737 | + | 10.9197i | 0.282381 | + | 0.450321i | ||||
\(589\) | 3.33625 | − | 0.663621i | 0.137468 | − | 0.0273440i | ||||
\(590\) | −15.6424 | + | 0.669683i | −0.643986 | + | 0.0275704i | ||||
\(591\) | 5.30733 | − | 1.51559i | 0.218314 | − | 0.0623430i | ||||
\(592\) | 34.0331 | + | 0.858004i | 1.39875 | + | 0.0352638i | ||||
\(593\) | −8.20538 | − | 8.20538i | −0.336954 | − | 0.336954i | 0.518265 | − | 0.855220i | \(-0.326578\pi\) |
−0.855220 | + | 0.518265i | \(0.826578\pi\) | |||||||
\(594\) | 1.65487 | − | 1.99075i | 0.0679002 | − | 0.0816815i | ||||
\(595\) | −16.2827 | + | 3.23883i | −0.667525 | + | 0.132779i | ||||
\(596\) | −7.77803 | − | 0.865173i | −0.318601 | − | 0.0354389i | ||||
\(597\) | −0.796081 | − | 9.70886i | −0.0325814 | − | 0.397357i | ||||
\(598\) | 11.3772 | + | 6.91703i | 0.465247 | + | 0.282858i | ||||
\(599\) | −37.4991 | + | 15.5326i | −1.53217 | + | 0.634646i | −0.979984 | − | 0.199074i | \(-0.936207\pi\) |
−0.552187 | + | 0.833720i | \(0.686207\pi\) | |||||||
\(600\) | 3.14438 | − | 17.0350i | 0.128369 | − | 0.695452i | ||||
\(601\) | 1.67208 | + | 0.692599i | 0.0682056 | + | 0.0282517i | 0.416525 | − | 0.909124i | \(-0.363248\pi\) |
−0.348320 | + | 0.937376i | \(0.613248\pi\) | |||||||
\(602\) | 6.63892 | − | 4.85921i | 0.270582 | − | 0.198047i | ||||
\(603\) | −5.33391 | − | 14.1719i | −0.217214 | − | 0.577123i | ||||
\(604\) | 26.2885 | + | 8.33775i | 1.06967 | + | 0.339258i | ||||
\(605\) | −10.9416 | − | 7.31097i | −0.444841 | − | 0.297233i | ||||
\(606\) | 23.6471 | − | 20.4757i | 0.960596 | − | 0.831770i | ||||
\(607\) | 15.2468 | 0.618849 | 0.309425 | − | 0.950924i | \(-0.399864\pi\) | ||||
0.309425 | + | 0.950924i | \(0.399864\pi\) | |||||||
\(608\) | 1.80262 | − | 1.86714i | 0.0731058 | − | 0.0757225i | ||||
\(609\) | 4.36425 | − | 7.85310i | 0.176848 | − | 0.318224i | ||||
\(610\) | −21.3847 | − | 7.80392i | −0.865842 | − | 0.315972i | ||||
\(611\) | 1.05471 | − | 1.57849i | 0.0426690 | − | 0.0638587i | ||||
\(612\) | −23.2251 | + | 39.0812i | −0.938820 | + | 1.57977i | ||||
\(613\) | −2.33457 | + | 11.7367i | −0.0942925 | + | 0.474040i | 0.904569 | + | 0.426328i | \(0.140193\pi\) |
−0.998861 | + | 0.0477123i | \(0.984807\pi\) | |||||||
\(614\) | 7.61990 | − | 5.57722i | 0.307514 | − | 0.225078i | ||||
\(615\) | 6.58354 | + | 8.29520i | 0.265474 | + | 0.334495i | ||||
\(616\) | 0.122588 | − | 1.80021i | 0.00493922 | − | 0.0725326i | ||||
\(617\) | −2.95975 | − | 7.14546i | −0.119155 | − | 0.287666i | 0.853037 | − | 0.521850i | \(-0.174758\pi\) |
−0.972192 | + | 0.234185i | \(0.924758\pi\) | |||||||
\(618\) | −13.6328 | − | 23.9601i | −0.548390 | − | 0.963815i | ||||
\(619\) | −11.0577 | − | 16.5490i | −0.444447 | − | 0.665162i | 0.539834 | − | 0.841772i | \(-0.318487\pi\) |
−0.984281 | + | 0.176610i | \(0.943487\pi\) | |||||||
\(620\) | 11.2066 | + | 14.0117i | 0.450067 | + | 0.562723i | ||||
\(621\) | −30.6388 | + | 7.67460i | −1.22949 | + | 0.307971i | ||||
\(622\) | −21.6431 | + | 23.5791i | −0.867807 | + | 0.945436i | ||||
\(623\) | −13.4226 | + | 13.4226i | −0.537765 | + | 0.537765i | ||||
\(624\) | 7.14647 | − | 8.00507i | 0.286088 | − | 0.320459i | ||||
\(625\) | 3.66513 | + | 3.66513i | 0.146605 | + | 0.146605i | ||||
\(626\) | −0.692879 | + | 0.0296636i | −0.0276930 | + | 0.00118560i | ||||
\(627\) | −0.0856356 | + | 0.266524i | −0.00341996 | + | 0.0106439i | ||||
\(628\) | 8.92064 | + | 30.7995i | 0.355972 | + | 1.22903i | ||||
\(629\) | 53.6189 | − | 35.8270i | 2.13793 | − | 1.42852i | ||||
\(630\) | −6.50679 | + | 6.63905i | −0.259237 | + | 0.264506i | ||||
\(631\) | 9.44515 | − | 3.91231i | 0.376006 | − | 0.155747i | −0.186674 | − | 0.982422i | \(-0.559771\pi\) |
0.562679 | + | 0.826675i | \(0.309771\pi\) | |||||||
\(632\) | −17.3604 | + | 9.96430i | −0.690561 | + | 0.396359i | ||||
\(633\) | −1.94930 | − | 2.45610i | −0.0774776 | − | 0.0976211i | ||||
\(634\) | −6.26136 | − | 0.969147i | −0.248670 | − | 0.0384897i | ||||
\(635\) | 24.1940 | + | 4.81249i | 0.960110 | + | 0.190978i | ||||
\(636\) | −0.550237 | + | 0.209460i | −0.0218183 | + | 0.00830562i | ||||
\(637\) | −4.79173 | − | 3.20173i | −0.189855 | − | 0.126857i | ||||
\(638\) | 1.29388 | − | 0.602010i | 0.0512251 | − | 0.0238338i | ||||
\(639\) | 9.28156 | + | 14.9260i | 0.367173 | + | 0.590462i | ||||
\(640\) | 13.1193 | + | 3.90849i | 0.518586 | + | 0.154497i | ||||
\(641\) | − | 8.18398i | − | 0.323248i | −0.986852 | − | 0.161624i | \(-0.948327\pi\) | ||
0.986852 | − | 0.161624i | \(-0.0516731\pi\) | |||||||
\(642\) | 2.75458 | − | 38.3248i | 0.108715 | − | 1.51256i | ||||
\(643\) | −14.4944 | + | 21.6924i | −0.571604 | + | 0.855466i | −0.998814 | − | 0.0486863i | \(-0.984497\pi\) |
0.427210 | + | 0.904152i | \(0.359497\pi\) | |||||||
\(644\) | −14.1796 | + | 16.8406i | −0.558756 | + | 0.663612i | ||||
\(645\) | −5.13377 | − | 4.35568i | −0.202142 | − | 0.171505i | ||||
\(646\) | 0.751973 | − | 4.85827i | 0.0295860 | − | 0.191146i | ||||
\(647\) | −3.69489 | + | 8.92026i | −0.145261 | + | 0.350692i | −0.979718 | − | 0.200382i | \(-0.935782\pi\) |
0.834457 | + | 0.551074i | \(0.185782\pi\) | |||||||
\(648\) | 1.60032 | + | 25.4055i | 0.0628664 | + | 0.998022i | ||||
\(649\) | −1.23353 | − | 2.97800i | −0.0484202 | − | 0.116897i | ||||
\(650\) | 1.83460 | + | 7.52500i | 0.0719589 | + | 0.295155i | ||||
\(651\) | 1.90043 | + | 23.1774i | 0.0744839 | + | 0.908392i | ||||
\(652\) | −32.4396 | + | 9.39567i | −1.27043 | + | 0.367963i | ||||
\(653\) | 6.19427 | + | 31.1407i | 0.242401 | + | 1.21863i | 0.889754 | + | 0.456440i | \(0.150876\pi\) |
−0.647354 | + | 0.762190i | \(0.724124\pi\) | |||||||
\(654\) | −16.5951 | − | 8.31421i | −0.648920 | − | 0.325111i | ||||
\(655\) | 11.5723 | − | 11.5723i | 0.452166 | − | 0.452166i | ||||
\(656\) | 17.0843 | − | 10.8027i | 0.667031 | − | 0.421774i | ||||
\(657\) | 46.4622 | + | 10.8335i | 1.81266 | + | 0.422654i | ||||
\(658\) | 2.31246 | + | 2.12258i | 0.0901490 | + | 0.0827470i | ||||
\(659\) | −5.78780 | − | 29.0972i | −0.225461 | − | 1.13347i | −0.913201 | − | 0.407510i | \(-0.866397\pi\) |
0.687740 | − | 0.725957i | \(-0.258603\pi\) | |||||||
\(660\) | −1.45594 | + | 0.246003i | −0.0566725 | + | 0.00957567i | ||||
\(661\) | −10.4672 | + | 6.99398i | −0.407128 | + | 0.272034i | −0.742227 | − | 0.670149i | \(-0.766230\pi\) |
0.335099 | + | 0.942183i | \(0.391230\pi\) | |||||||
\(662\) | −6.87282 | − | 4.17850i | −0.267120 | − | 0.162402i | ||||
\(663\) | 2.32310 | − | 20.1937i | 0.0902217 | − | 0.784258i | ||||
\(664\) | 1.61890 | − | 23.7737i | 0.0628257 | − | 0.922598i | ||||
\(665\) | 0.384692 | − | 0.928729i | 0.0149177 | − | 0.0360146i | ||||
\(666\) | 13.4820 | − | 33.4977i | 0.522416 | − | 1.29801i | ||||
\(667\) | −17.0771 | − | 3.39684i | −0.661226 | − | 0.131526i | ||||
\(668\) | −5.62248 | + | 2.91478i | −0.217540 | + | 0.112776i | ||||
\(669\) | 9.30895 | + | 18.1230i | 0.359905 | + | 0.700675i | ||||
\(670\) | −2.96088 | + | 8.11355i | −0.114389 | + | 0.313454i | ||||
\(671\) | − | 4.68663i | − | 0.180926i | ||||||
\(672\) | 11.2727 | + | 13.7017i | 0.434852 | + | 0.528555i | ||||
\(673\) | − | 14.2382i | − | 0.548843i | −0.961609 | − | 0.274422i | \(-0.911514\pi\) | ||
0.961609 | − | 0.274422i | \(-0.0884864\pi\) | |||||||
\(674\) | 31.1064 | + | 11.3517i | 1.19817 | + | 0.437249i | ||||
\(675\) | −15.7595 | − | 9.44591i | −0.606585 | − | 0.363573i | ||||
\(676\) | 6.40980 | − | 20.2098i | 0.246531 | − | 0.777301i | ||||
\(677\) | 29.4523 | + | 5.85843i | 1.13194 | + | 0.225158i | 0.725303 | − | 0.688430i | \(-0.241700\pi\) |
0.406642 | + | 0.913588i | \(0.366700\pi\) | |||||||
\(678\) | −0.164781 | − | 1.31564i | −0.00632836 | − | 0.0505270i | ||||
\(679\) | 0.354449 | − | 0.855716i | 0.0136025 | − | 0.0328394i | ||||
\(680\) | 24.5753 | − | 8.27260i | 0.942421 | − | 0.317240i | ||||
\(681\) | −3.90800 | − | 0.449580i | −0.149755 | − | 0.0172279i | ||||
\(682\) | −1.91895 | + | 3.15630i | −0.0734803 | + | 0.120861i | ||||
\(683\) | 15.3354 | − | 10.2468i | 0.586795 | − | 0.392084i | −0.226435 | − | 0.974026i | \(-0.572707\pi\) |
0.813230 | + | 0.581943i | \(0.197707\pi\) | |||||||
\(684\) | −1.18630 | − | 2.48401i | −0.0453592 | − | 0.0949785i | ||||
\(685\) | −1.73863 | − | 8.74071i | −0.0664298 | − | 0.333965i | ||||
\(686\) | 18.5657 | − | 20.2265i | 0.708843 | − | 0.772252i | ||||
\(687\) | 39.3754 | − | 11.2442i | 1.50227 | − | 0.428995i | ||||
\(688\) | −9.31258 | + | 8.85457i | −0.355039 | + | 0.337577i | ||||
\(689\) | 0.186143 | − | 0.186143i | 0.00709150 | − | 0.00709150i | ||||
\(690\) | 16.1072 | + | 8.06978i | 0.613191 | + | 0.307211i | ||||
\(691\) | −0.954311 | − | 4.79764i | −0.0363037 | − | 0.182511i | 0.958379 | − | 0.285500i | \(-0.0921595\pi\) |
−0.994683 | + | 0.102989i | \(0.967159\pi\) | |||||||
\(692\) | −22.3513 | + | 40.5779i | −0.849670 | + | 1.54254i | ||||
\(693\) | −1.74324 | − | 0.789854i | −0.0662204 | − | 0.0300041i | ||||
\(694\) | −31.8554 | + | 7.76636i | −1.20921 | + | 0.294807i | ||||
\(695\) | 3.46623 | + | 8.36823i | 0.131482 | + | 0.317425i | ||||
\(696\) | −5.19040 | + | 13.0375i | −0.196741 | + | 0.494185i | ||||
\(697\) | 14.6523 | − | 35.3739i | 0.554997 | − | 1.33988i | ||||
\(698\) | 31.9868 | + | 4.95099i | 1.21072 | + | 0.187398i | ||||
\(699\) | −21.6299 | + | 25.4939i | −0.818119 | + | 0.964266i | ||||
\(700\) | −12.7596 | + | 1.09454i | −0.482269 | + | 0.0413697i | ||||
\(701\) | 6.98329 | − | 10.4512i | 0.263755 | − | 0.394738i | −0.675827 | − | 0.737060i | \(-0.736213\pi\) |
0.939583 | + | 0.342322i | \(0.111213\pi\) | |||||||
\(702\) | −5.30202 | − | 10.0715i | −0.200112 | − | 0.380126i | ||||
\(703\) | 3.90475i | 0.147271i | ||||||||
\(704\) | 0.170027 | + | 2.81315i | 0.00640812 | + | 0.106025i | ||||
\(705\) | 1.24777 | − | 2.24525i | 0.0469936 | − | 0.0845610i | ||||
\(706\) | 12.6936 | + | 27.2819i | 0.477731 | + | 1.02677i | ||||
\(707\) | −19.2276 | − | 12.8475i | −0.723130 | − | 0.483180i | ||||
\(708\) | 28.9197 | + | 12.9725i | 1.08687 | + | 0.487538i | ||||
\(709\) | −5.46150 | − | 1.08636i | −0.205111 | − | 0.0407991i | 0.0914654 | − | 0.995808i | \(-0.470845\pi\) |
−0.296576 | + | 0.955009i | \(0.595845\pi\) | |||||||
\(710\) | 1.53347 | − | 9.90729i | 0.0575502 | − | 0.371814i | ||||
\(711\) | 3.45843 | + | 20.9474i | 0.129701 | + | 0.785590i | ||||
\(712\) | 18.1088 | − | 23.4761i | 0.678657 | − | 0.879804i | ||||
\(713\) | 41.6379 | − | 17.2470i | 1.55935 | − | 0.645904i | ||||
\(714\) | 32.4084 | + | 8.90307i | 1.21285 | + | 0.333189i | ||||
\(715\) | 0.548946 | − | 0.366794i | 0.0205294 | − | 0.0137173i | ||||
\(716\) | 18.2029 | − | 33.0465i | 0.680273 | − | 1.23501i | ||||
\(717\) | −39.2544 | − | 12.6127i | −1.46598 | − | 0.471029i | ||||
\(718\) | 0.985690 | + | 23.0236i | 0.0367856 | + | 0.859234i | ||||
\(719\) | 8.51084 | + | 8.51084i | 0.317401 | + | 0.317401i | 0.847768 | − | 0.530367i | \(-0.177946\pi\) |
−0.530367 | + | 0.847768i | \(0.677946\pi\) | |||||||
\(720\) | 8.75205 | − | 11.5852i | 0.326170 | − | 0.431756i | ||||
\(721\) | −14.4107 | + | 14.4107i | −0.536684 | + | 0.536684i | ||||
\(722\) | −19.5760 | − | 17.9686i | −0.728543 | − | 0.668723i | ||||
\(723\) | −5.66036 | + | 17.6168i | −0.210511 | + | 0.655174i | ||||
\(724\) | 2.06590 | + | 0.229796i | 0.0767784 | + | 0.00854028i | ||||
\(725\) | −5.62713 | − | 8.42159i | −0.208986 | − | 0.312770i | ||||
\(726\) | 13.1746 | + | 23.1547i | 0.488953 | + | 0.859353i | ||||
\(727\) | 13.3478 | + | 32.2243i | 0.495041 | + | 1.19513i | 0.952124 | + | 0.305711i | \(0.0988941\pi\) |
−0.457083 | + | 0.889424i | \(0.651106\pi\) | |||||||
\(728\) | −7.10617 | − | 3.52686i | −0.263372 | − | 0.130714i | ||||
\(729\) | 25.8374 | + | 7.83769i | 0.956940 | + | 0.290285i | ||||
\(730\) | −16.0721 | − | 21.9586i | −0.594855 | − | 0.812723i | ||||
\(731\) | −4.74874 | + | 23.8735i | −0.175638 | + | 0.882994i | ||||
\(732\) | 31.6294 | + | 33.5169i | 1.16906 | + | 1.23882i | ||||
\(733\) | 10.7811 | − | 16.1350i | 0.398208 | − | 0.595961i | −0.577136 | − | 0.816648i | \(-0.695830\pi\) |
0.975345 | + | 0.220687i | \(0.0708299\pi\) | |||||||
\(734\) | 12.2926 | − | 33.6848i | 0.453727 | − | 1.24333i | ||||
\(735\) | −6.81579 | − | 3.78778i | −0.251404 | − | 0.139714i | ||||
\(736\) | 18.5981 | − | 28.9221i | 0.685536 | − | 1.06608i | ||||
\(737\) | −1.77815 | −0.0654990 | ||||||||
\(738\) | −4.39394 | − | 20.9842i | −0.161743 | − | 0.772440i | ||||
\(739\) | −16.0152 | − | 10.7010i | −0.589130 | − | 0.393644i | 0.224973 | − | 0.974365i | \(-0.427771\pi\) |
−0.814103 | + | 0.580721i | \(0.802771\pi\) | |||||||
\(740\) | −18.2848 | + | 9.47913i | −0.672164 | + | 0.348460i | ||||
\(741\) | 0.938530 | + | 0.796283i | 0.0344778 | + | 0.0292522i | ||||
\(742\) | 0.257076 | + | 0.351231i | 0.00943755 | + | 0.0128941i | ||||
\(743\) | −25.1918 | − | 10.4348i | −0.924198 | − | 0.382815i | −0.130723 | − | 0.991419i | \(-0.541730\pi\) |
−0.793474 | + | 0.608604i | \(0.791730\pi\) | |||||||
\(744\) | −7.57783 | − | 35.5232i | −0.277817 | − | 1.30234i | ||||
\(745\) | 4.37417 | − | 1.81184i | 0.160257 | − | 0.0663808i | ||||
\(746\) | −5.05037 | + | 8.30687i | −0.184907 | + | 0.304136i | ||||
\(747\) | −23.0213 | − | 10.4308i | −0.842307 | − | 0.381644i | ||||
\(748\) | 3.33442 | + | 4.16905i | 0.121919 | + | 0.152436i | ||||
\(749\) | −27.8603 | + | 5.54175i | −1.01799 | + | 0.202491i | ||||
\(750\) | 7.98093 | + | 24.0070i | 0.291422 | + | 0.876612i | ||||
\(751\) | 16.9708 | + | 16.9708i | 0.619274 | + | 0.619274i | 0.945345 | − | 0.326072i | \(-0.105725\pi\) |
−0.326072 | + | 0.945345i | \(0.605725\pi\) | |||||||
\(752\) | −4.00652 | − | 2.82568i | −0.146103 | − | 0.103042i | ||||
\(753\) | 0.0377292 | + | 0.132121i | 0.00137493 | + | 0.00481476i | ||||
\(754\) | −0.268372 | − | 6.26860i | −0.00977353 | − | 0.228289i | ||||
\(755\) | −16.3642 | + | 3.25504i | −0.595554 | + | 0.118463i | ||||
\(756\) | 17.7976 | − | 6.11617i | 0.647291 | − | 0.222443i | ||||
\(757\) | −5.99152 | − | 8.96695i | −0.217766 | − | 0.325909i | 0.706462 | − | 0.707751i | \(-0.250290\pi\) |
−0.924228 | + | 0.381842i | \(0.875290\pi\) | |||||||
\(758\) | 29.1698 | − | 7.11163i | 1.05950 | − | 0.258306i | ||||
\(759\) | −0.423893 | + | 3.68472i | −0.0153863 | + | 0.133747i | ||||
\(760\) | −0.410228 | + | 1.51557i | −0.0148805 | + | 0.0549756i | ||||
\(761\) | −36.4626 | − | 15.1033i | −1.32177 | − | 0.547494i | −0.393471 | − | 0.919337i | \(-0.628726\pi\) |
−0.928295 | + | 0.371843i | \(0.878726\pi\) | |||||||
\(762\) | −39.4268 | − | 30.6499i | −1.42828 | − | 1.11033i | ||||
\(763\) | −2.67706 | + | 13.4585i | −0.0969160 | + | 0.487230i | ||||
\(764\) | −21.6943 | + | 25.7655i | −0.784872 | + | 0.932162i | ||||
\(765\) | 0.899885 | − | 27.4886i | 0.0325354 | − | 0.993851i | ||||
\(766\) | 8.38925 | + | 18.0307i | 0.303116 | + | 0.651475i | ||||
\(767\) | −14.1720 | −0.511722 | ||||||||
\(768\) | −20.2015 | − | 18.9710i | −0.728958 | − | 0.684558i | ||||
\(769\) | −3.39340 | −0.122369 | −0.0611845 | − | 0.998126i | \(-0.519488\pi\) | ||||
−0.0611845 | + | 0.998126i | \(0.519488\pi\) | |||||||
\(770\) | 0.460498 | + | 0.989729i | 0.0165952 | + | 0.0356674i | ||||
\(771\) | −18.5919 | + | 9.54981i | −0.669571 | + | 0.343928i | ||||
\(772\) | 14.1972 | − | 16.8615i | 0.510968 | − | 0.606857i | ||||
\(773\) | −2.31520 | + | 11.6393i | −0.0832719 | + | 0.418636i | 0.916553 | + | 0.399914i | \(0.130960\pi\) |
−0.999825 | + | 0.0187226i | \(0.994040\pi\) | |||||||
\(774\) | 5.34228 | + | 12.5391i | 0.192024 | + | 0.450708i | ||||
\(775\) | 24.2213 | + | 10.0328i | 0.870054 | + | 0.360388i | ||||
\(776\) | −0.377978 | + | 1.39642i | −0.0135686 | + | 0.0501287i | ||||
\(777\) | −26.5200 | − | 3.05088i | −0.951399 | − | 0.109450i | ||||
\(778\) | 11.0499 | − | 2.69397i | 0.396158 | − | 0.0965836i | ||||
\(779\) | 1.28804 | + | 1.92768i | 0.0461487 | + | 0.0690664i | ||||
\(780\) | −1.45040 | + | 6.32791i | −0.0519326 | + | 0.226576i | ||||
\(781\) | 2.02432 | − | 0.402662i | 0.0724359 | − | 0.0144084i | ||||
\(782\) | −2.78599 | − | 65.0749i | −0.0996270 | − | 2.32707i | ||||
\(783\) | 11.0283 | + | 9.99544i | 0.394118 | + | 0.357208i | ||||
\(784\) | −8.57777 | + | 12.1624i | −0.306349 | + | 0.434371i | ||||
\(785\) | −13.7171 | − | 13.7171i | −0.489584 | − | 0.489584i | ||||
\(786\) | −31.4395 | + | 10.4518i | −1.12141 | + | 0.372803i | ||||
\(787\) | −33.6448 | + | 6.69236i | −1.19931 | + | 0.238557i | −0.754032 | − | 0.656838i | \(-0.771894\pi\) |
−0.445274 | + | 0.895394i | \(0.646894\pi\) | |||||||
\(788\) | 3.98081 | + | 4.97724i | 0.141810 | + | 0.177307i | ||||
\(789\) | 29.7646 | − | 2.44056i | 1.05965 | − | 0.0868861i | ||||
\(790\) | 6.29098 | − | 10.3474i | 0.223823 | − | 0.368145i | ||||
\(791\) | −0.905621 | + | 0.375121i | −0.0322002 | + | 0.0133378i | ||||
\(792\) | 2.85831 | + | 0.875000i | 0.101566 | + | 0.0310918i | ||||
\(793\) | −19.0370 | − | 7.88539i | −0.676024 | − | 0.280018i | ||||
\(794\) | 12.8140 | + | 17.5072i | 0.454754 | + | 0.621309i | ||||
\(795\) | 0.230437 | − | 0.271601i | 0.00817274 | − | 0.00963271i | ||||
\(796\) | 9.98629 | − | 5.17704i | 0.353955 | − | 0.183495i | ||||
\(797\) | 34.9964 | + | 23.3838i | 1.23964 | + | 0.828298i | 0.990140 | − | 0.140078i | \(-0.0447354\pi\) |
0.249495 | + | 0.968376i | \(0.419735\pi\) | |||||||
\(798\) | −1.53847 | + | 1.33214i | −0.0544612 | + | 0.0471574i | ||||
\(799\) | −9.28688 | −0.328546 | ||||||||
\(800\) | 19.5467 | − | 4.24660i | 0.691078 | − | 0.150140i | ||||
\(801\) | −16.6064 | − | 26.7052i | −0.586757 | − | 0.943582i | ||||
\(802\) | 4.27869 | − | 11.7247i | 0.151086 | − | 0.414013i | ||||
\(803\) | 3.11249 | − | 4.65817i | 0.109837 | − | 0.164383i | ||||
\(804\) | 12.7166 | − | 12.0005i | 0.448480 | − | 0.423224i | ||||
\(805\) | 2.59835 | − | 13.0628i | 0.0915800 | − | 0.460404i | ||||
\(806\) | 9.59213 | + | 13.1053i | 0.337868 | + | 0.461614i | ||||
\(807\) | −7.28418 | + | 5.78114i | −0.256415 | + | 0.203506i | ||||
\(808\) | 32.3535 | + | 16.0573i | 1.13819 | + | 0.564895i | ||||
\(809\) | −20.2858 | − | 48.9743i | −0.713212 | − | 1.72185i | −0.691814 | − | 0.722075i | \(-0.743188\pi\) |
−0.0213976 | − | 0.999771i | \(-0.506812\pi\) | |||||||
\(810\) | −8.26355 | − | 12.9955i | −0.290351 | − | 0.456614i | ||||
\(811\) | −6.04781 | − | 9.05118i | −0.212367 | − | 0.317830i | 0.709958 | − | 0.704244i | \(-0.248714\pi\) |
−0.922326 | + | 0.386414i | \(0.873714\pi\) | |||||||
\(812\) | 10.3106 | + | 1.14688i | 0.361831 | + | 0.0402475i | ||||
\(813\) | 25.6070 | + | 8.22766i | 0.898075 | + | 0.288557i | ||||
\(814\) | −3.12379 | − | 2.86730i | −0.109489 | − | 0.100499i | ||||
\(815\) | 14.4475 | − | 14.4475i | 0.506075 | − | 0.506075i | ||||
\(816\) | −51.9827 | − | 7.31187i | −1.81976 | − | 0.255967i | ||||
\(817\) | −1.04220 | − | 1.04220i | −0.0364618 | − | 0.0364618i | ||||
\(818\) | −1.09583 | − | 25.5962i | −0.0383147 | − | 0.894950i | ||||
\(819\) | −6.14142 | + | 5.75207i | −0.214599 | + | 0.200994i | ||||
\(820\) | −5.89996 | + | 10.7111i | −0.206036 | + | 0.374049i | ||||
\(821\) | 25.8554 | − | 17.2760i | 0.902359 | − | 0.602937i | −0.0154846 | − | 0.999880i | \(-0.504929\pi\) |
0.917843 | + | 0.396943i | \(0.129929\pi\) | |||||||
\(822\) | −4.77926 | + | 17.3972i | −0.166696 | + | 0.606796i | ||||
\(823\) | −1.55374 | + | 0.643579i | −0.0541598 | + | 0.0224337i | −0.409599 | − | 0.912266i | \(-0.634331\pi\) |
0.355439 | + | 0.934699i | \(0.384331\pi\) | |||||||
\(824\) | 19.4420 | − | 25.2044i | 0.677293 | − | 0.878035i | ||||
\(825\) | −1.69001 | + | 1.34129i | −0.0588385 | + | 0.0466976i | ||||
\(826\) | 3.58424 | − | 23.1567i | 0.124712 | − | 0.805725i | ||||
\(827\) | 2.28456 | + | 0.454428i | 0.0794420 | + | 0.0158020i | 0.234651 | − | 0.972080i | \(-0.424605\pi\) |
−0.155209 | + | 0.987882i | \(0.549605\pi\) | |||||||
\(828\) | −21.8361 | − | 29.2124i | −0.758856 | − | 1.01520i | ||||
\(829\) | 11.9451 | + | 7.98144i | 0.414870 | + | 0.277207i | 0.745438 | − | 0.666575i | \(-0.232240\pi\) |
−0.330568 | + | 0.943782i | \(0.607240\pi\) | |||||||
\(830\) | 6.08135 | + | 13.0704i | 0.211087 | + | 0.453680i | ||||
\(831\) | −30.1727 | − | 16.7680i | −1.04668 | − | 0.581677i | ||||
\(832\) | 11.7130 | + | 4.04256i | 0.406077 | + | 0.140151i | ||||
\(833\) | 28.1917i | 0.976784i | ||||||||
\(834\) | 1.31456 | − | 18.2896i | 0.0455194 | − | 0.633317i | ||||
\(835\) | 2.12861 | − | 3.18569i | 0.0736636 | − | 0.110245i | ||||
\(836\) | −0.322068 | + | 0.0276275i | −0.0111390 | + | 0.000955516i | ||||
\(837\) | −38.1088 | − | 5.65292i | −1.31723 | − | 0.195393i | ||||
\(838\) | 49.5468 | + | 7.66896i | 1.71157 | + | 0.264920i | ||||
\(839\) | 3.17277 | − | 7.65974i | 0.109536 | − | 0.264443i | −0.859601 | − | 0.510966i | \(-0.829288\pi\) |
0.969137 | + | 0.246522i | \(0.0792879\pi\) | |||||||
\(840\) | −9.97282 | − | 3.97031i | −0.344095 | − | 0.136989i | ||||
\(841\) | −7.95796 | − | 19.2122i | −0.274412 | − | 0.662490i | ||||
\(842\) | −15.6893 | + | 3.82506i | −0.540688 | + | 0.131820i | ||||
\(843\) | 3.67060 | − | 0.300972i | 0.126422 | − | 0.0103660i | ||||
\(844\) | 1.74690 | − | 3.17142i | 0.0601307 | − | 0.109165i | ||||
\(845\) | 2.50237 | + | 12.5803i | 0.0860843 | + | 0.432775i | ||||
\(846\) | −4.29446 | + | 2.93239i | −0.147646 | + | 0.100817i | ||||
\(847\) | 13.9264 | − | 13.9264i | 0.478516 | − | 0.478516i | ||||
\(848\) | −0.468450 | − | 0.492681i | −0.0160866 | − | 0.0169187i | ||||
\(849\) | 13.0973 | + | 45.8647i | 0.449500 | + | 1.57407i | ||||
\(850\) | 25.6215 | − | 27.9134i | 0.878810 | − | 0.957423i | ||||
\(851\) | 10.0930 | + | 50.7407i | 0.345982 | + | 1.73937i | ||||
\(852\) | −11.7596 | + | 16.5415i | −0.402877 | + | 0.566702i | ||||
\(853\) | 12.0538 | − | 8.05408i | 0.412714 | − | 0.275767i | −0.331831 | − | 0.943339i | \(-0.607666\pi\) |
0.744545 | + | 0.667572i | \(0.232666\pi\) | |||||||
\(854\) | 17.6992 | − | 29.1117i | 0.605653 | − | 0.996181i | ||||
\(855\) | 1.35368 | + | 0.970032i | 0.0462948 | + | 0.0331744i | ||||
\(856\) | 42.0493 | − | 14.1547i | 1.43722 | − | 0.483799i | ||||
\(857\) | −8.63427 | + | 20.8450i | −0.294941 | + | 0.712051i | 0.705055 | + | 0.709153i | \(0.250922\pi\) |
−0.999996 | + | 0.00289804i | \(0.999078\pi\) | |||||||
\(858\) | −1.32620 | + | 0.166102i | −0.0452756 | + | 0.00567064i | ||||
\(859\) | −19.5472 | − | 3.88817i | −0.666940 | − | 0.132663i | −0.150003 | − | 0.988686i | \(-0.547928\pi\) |
−0.516938 | + | 0.856023i | \(0.672928\pi\) | |||||||
\(860\) | 2.35028 | − | 7.41033i | 0.0801439 | − | 0.252690i | ||||
\(861\) | −14.0986 | + | 7.24183i | −0.480481 | + | 0.246801i | ||||
\(862\) | 10.2515 | + | 3.74107i | 0.349166 | + | 0.127421i | ||||
\(863\) | 29.2836i | 0.996825i | 0.866940 | + | 0.498412i | \(0.166083\pi\) | ||||
−0.866940 | + | 0.498412i | \(0.833917\pi\) | |||||||
\(864\) | −26.3467 | + | 13.0327i | −0.896333 | + | 0.443381i | ||||
\(865\) | − | 28.0266i | − | 0.952933i | ||||||
\(866\) | −4.59619 | + | 12.5947i | −0.156185 | + | 0.427986i | ||||
\(867\) | −62.2587 | + | 31.9794i | −2.11442 | + | 1.08608i | ||||
\(868\) | −23.8396 | + | 12.3588i | −0.809170 | + | 0.419486i | ||||
\(869\) | 2.44522 | + | 0.486385i | 0.0829485 | + | 0.0164995i | ||||
\(870\) | −1.05504 | − | 8.42368i | −0.0357693 | − | 0.285590i | ||||
\(871\) | −2.99179 | + | 7.22281i | −0.101373 | + | 0.244736i | ||||
\(872\) | 1.45613 | − | 21.3833i | 0.0493107 | − | 0.724129i | ||||
\(873\) | 1.24726 | + | 0.893772i | 0.0422132 | + | 0.0302496i | ||||
\(874\) | 3.37001 | + | 2.04888i | 0.113992 | + | 0.0693044i | ||||
\(875\) | 15.5511 | − | 10.3909i | 0.525722 | − | 0.351276i | ||||
\(876\) | 9.17803 | + | 54.3191i | 0.310097 | + | 1.83527i | ||||
\(877\) | 1.86036 | + | 9.35264i | 0.0628198 | + | 0.315816i | 0.999400 | − | 0.0346371i | \(-0.0110275\pi\) |
−0.936580 | + | 0.350453i | \(0.886028\pi\) | |||||||
\(878\) | −1.85811 | − | 1.70554i | −0.0627082 | − | 0.0575593i | ||||
\(879\) | −10.5859 | − | 37.0701i | −0.357055 | − | 1.25034i | ||||
\(880\) | −0.911220 | − | 1.44108i | −0.0307172 | − | 0.0485789i | ||||
\(881\) | −20.3432 | + | 20.3432i | −0.685378 | + | 0.685378i | −0.961207 | − | 0.275828i | \(-0.911048\pi\) |
0.275828 | + | 0.961207i | \(0.411048\pi\) | |||||||
\(882\) | 8.90169 | + | 13.0365i | 0.299736 | + | 0.438960i | ||||
\(883\) | −1.34107 | − | 6.74202i | −0.0451306 | − | 0.226887i | 0.951637 | − | 0.307224i | \(-0.0994002\pi\) |
−0.996768 | + | 0.0803374i | \(0.974400\pi\) | |||||||
\(884\) | 22.5449 | − | 6.52980i | 0.758266 | − | 0.219621i | ||||
\(885\) | −19.1113 | + | 1.56704i | −0.642420 | + | 0.0526754i | ||||
\(886\) | 8.23902 | + | 33.7941i | 0.276795 | + | 1.13533i | ||||
\(887\) | 5.52752 | + | 13.3446i | 0.185596 | + | 0.448068i | 0.989103 | − | 0.147227i | \(-0.0470349\pi\) |
−0.803507 | + | 0.595296i | \(0.797035\pi\) | |||||||
\(888\) | 41.6911 | − | 0.576236i | 1.39906 | − | 0.0193372i | ||||
\(889\) | −14.1283 | + | 34.1088i | −0.473849 | + | 1.14397i | ||||
\(890\) | −2.74365 | + | 17.7259i | −0.0919674 | + | 0.594174i | ||||
\(891\) | 1.93012 | − | 2.51538i | 0.0646615 | − | 0.0842685i | ||||
\(892\) | −15.1526 | + | 17.9962i | −0.507348 | + | 0.602557i | ||||
\(893\) | 0.312414 | − | 0.467561i | 0.0104545 | − | 0.0156463i | ||||
\(894\) | −9.56019 | − | 0.687136i | −0.319741 | − | 0.0229813i | ||||
\(895\) | 22.8248i | 0.762949i | ||||||||
\(896\) | −9.56778 | + | 18.1164i | −0.319637 | + | 0.605226i | ||||
\(897\) | 14.2540 | + | 7.92148i | 0.475928 | + | 0.264491i | ||||
\(898\) | −21.3632 | + | 9.93981i | −0.712900 | + | 0.331696i | ||||
\(899\) | −17.6584 | − | 11.7990i | −0.588941 | − | 0.393518i | ||||
\(900\) | 3.03411 | − | 20.9979i | 0.101137 | − | 0.699931i | ||||
\(901\) | −1.26302 | − | 0.251231i | −0.0420774 | − | 0.00836972i | ||||
\(902\) | −2.48796 | − | 0.385092i | −0.0828401 | − | 0.0128222i | ||||
\(903\) | 7.89259 | − | 6.26400i | 0.262649 | − | 0.208453i | ||||
\(904\) | 1.32787 | − | 0.762150i | 0.0441641 | − | 0.0253487i | ||||
\(905\) | −1.16181 | + | 0.481237i | −0.0386198 | + | 0.0159969i | ||||
\(906\) | 32.5707 | + | 8.94764i | 1.08209 | + | 0.297265i | ||||
\(907\) | 37.4759 | − | 25.0406i | 1.24437 | − | 0.831460i | 0.253637 | − | 0.967299i | \(-0.418373\pi\) |
0.990731 | + | 0.135839i | \(0.0433731\pi\) | |||||||
\(908\) | −1.26369 | − | 4.36302i | −0.0419369 | − | 0.144792i | ||||
\(909\) | 27.9611 | − | 26.1884i | 0.927412 | − | 0.868616i | ||||
\(910\) | 4.79506 | − | 0.205287i | 0.158955 | − | 0.00680519i | ||||
\(911\) | −19.2026 | − | 19.2026i | −0.636209 | − | 0.636209i | 0.313409 | − | 0.949618i | \(-0.398529\pi\) |
−0.949618 | + | 0.313409i | \(0.898529\pi\) | |||||||
\(912\) | 2.11684 | − | 2.37117i | 0.0700957 | − | 0.0785172i | ||||
\(913\) | −2.09863 | + | 2.09863i | −0.0694545 | + | 0.0694545i | ||||
\(914\) | 4.72279 | − | 5.14526i | 0.156216 | − | 0.170190i | ||||
\(915\) | −26.5438 | − | 8.52867i | −0.877511 | − | 0.281949i | ||||
\(916\) | 29.5338 | + | 36.9264i | 0.975826 | + | 1.22008i | ||||
\(917\) | 13.6079 | + | 20.3656i | 0.449371 | + | 0.672532i | ||||
\(918\) | −26.5557 | + | 48.9379i | −0.876468 | + | 1.61519i | ||||
\(919\) | −12.2608 | − | 29.6001i | −0.404445 | − | 0.976417i | −0.986573 | − | 0.163320i | \(-0.947780\pi\) |
0.582128 | − | 0.813097i | \(-0.302220\pi\) | |||||||
\(920\) | −1.41332 | + | 20.7546i | −0.0465957 | + | 0.684259i | ||||
\(921\) | 9.05882 | − | 7.18959i | 0.298498 | − | 0.236905i | ||||
\(922\) | 15.3850 | − | 11.2607i | 0.506677 | − | 0.370851i | ||||
\(923\) | 1.77037 | − | 8.90024i | 0.0582724 | − | 0.292955i | ||||
\(924\) | 0.0640017 | − | 2.20898i | 0.00210550 | − | 0.0726701i | ||||
\(925\) | −16.7198 | + | 25.0229i | −0.549742 | + | 0.822747i | ||||
\(926\) | −56.9475 | − | 20.7819i | −1.87141 | − | 0.682934i | ||||
\(927\) | −17.8289 | − | 28.6712i | −0.585577 | − | 0.941685i | ||||
\(928\) | −16.2011 | + | 0.284851i | −0.531826 | + | 0.00935069i | ||||
\(929\) | 8.06603 | 0.264638 | 0.132319 | − | 0.991207i | \(-0.457758\pi\) | ||||
0.132319 | + | 0.991207i | \(0.457758\pi\) | |||||||
\(930\) | 14.3843 | + | 16.6122i | 0.471680 | + | 0.544735i | ||||
\(931\) | −1.41935 | − | 0.948379i | −0.0465173 | − | 0.0310819i | ||||
\(932\) | −36.7990 | − | 11.6713i | −1.20539 | − | 0.382306i | ||||
\(933\) | −25.3603 | + | 29.8906i | −0.830259 | + | 0.978575i | ||||
\(934\) | 3.32217 | − | 2.43159i | 0.108705 | − | 0.0795642i | ||||
\(935\) | −2.98383 | − | 1.23594i | −0.0975816 | − | 0.0404196i | ||||
\(936\) | 8.36342 | − | 10.1382i | 0.273367 | − | 0.331377i | ||||
\(937\) | 12.8079 | − | 5.30519i | 0.418414 | − | 0.173313i | −0.163536 | − | 0.986537i | \(-0.552290\pi\) |
0.581950 | + | 0.813224i | \(0.302290\pi\) | |||||||
\(938\) | −11.0452 | − | 6.71522i | −0.360640 | − | 0.219260i | ||||
\(939\) | −0.846537 | + | 0.0694120i | −0.0276257 | + | 0.00226518i | ||||
\(940\) | 2.94787 | + | 0.327900i | 0.0961488 | + | 0.0106949i | ||||
\(941\) | 25.8090 | − | 5.13374i | 0.841351 | − | 0.167355i | 0.244442 | − | 0.969664i | \(-0.421395\pi\) |
0.596909 | + | 0.802309i | \(0.296395\pi\) | |||||||
\(942\) | 12.3889 | + | 37.2665i | 0.403654 | + | 1.21421i | ||||
\(943\) | 21.7202 | + | 21.7202i | 0.707306 | + | 0.707306i | ||||
\(944\) | −0.922412 | + | 36.5878i | −0.0300219 | + | 1.19083i | ||||
\(945\) | −7.64584 | + | 8.43588i | −0.248719 | + | 0.274419i | ||||
\(946\) | 1.59905 | − | 0.0684588i | 0.0519896 | − | 0.00222579i | ||||
\(947\) | 25.2874 | − | 5.02997i | 0.821729 | − | 0.163452i | 0.233717 | − | 0.972305i | \(-0.424911\pi\) |
0.588011 | + | 0.808853i | \(0.299911\pi\) | |||||||
\(948\) | −20.7698 | + | 13.0240i | −0.674570 | + | 0.423000i | ||||
\(949\) | −13.6846 | − | 20.4804i | −0.444219 | − | 0.664821i | ||||
\(950\) | 0.543424 | + | 2.22897i | 0.0176310 | + | 0.0723173i | ||||
\(951\) | −7.70904 | − | 0.886854i | −0.249983 | − | 0.0287582i | ||||
\(952\) | 4.96770 | + | 38.4892i | 0.161004 | + | 1.24744i | ||||
\(953\) | 6.47370 | + | 2.68149i | 0.209704 | + | 0.0868621i | 0.485063 | − | 0.874479i | \(-0.338797\pi\) |
−0.275359 | + | 0.961341i | \(0.588797\pi\) | |||||||
\(954\) | −0.663378 | + | 0.282633i | −0.0214777 | + | 0.00915057i | ||||
\(955\) | 3.97538 | − | 19.9856i | 0.128640 | − | 0.646719i | ||||
\(956\) | −4.06906 | − | 47.4352i | −0.131603 | − | 1.53416i | ||||
\(957\) | 1.55469 | − | 0.798576i | 0.0502561 | − | 0.0258143i | ||||
\(958\) | 42.6005 | − | 19.8210i | 1.37636 | − | 0.640388i | ||||
\(959\) | 13.3380 | 0.430706 | ||||||||
\(960\) | 16.2423 | + | 4.15635i | 0.524219 | + | 0.134146i | ||||
\(961\) | 23.9718 | 0.773283 | ||||||||
\(962\) | −16.9028 | + | 7.86447i | −0.544968 | + | 0.253561i | ||||
\(963\) | 1.53974 | − | 47.0340i | 0.0496174 | − | 1.51565i | ||||
\(964\) | −21.2881 | + | 1.82613i | −0.685645 | + | 0.0588156i | ||||
\(965\) | −2.60157 | + | 13.0790i | −0.0837476 | + | 0.421028i | ||||
\(966\) | −16.5485 | + | 21.2873i | −0.532439 | + | 0.684908i | ||||
\(967\) | 51.4584 | + | 21.3148i | 1.65479 | + | 0.685437i | 0.997662 | − | 0.0683407i | \(-0.0217705\pi\) |
0.657129 | + | 0.753778i | \(0.271771\pi\) | |||||||
\(968\) | −18.7885 | + | 24.3572i | −0.603885 | + | 0.782870i | ||||
\(969\) | 0.688121 | − | 5.98154i | 0.0221056 | − | 0.192155i | ||||
\(970\) | −0.207304 | − | 0.850303i | −0.00665615 | − | 0.0273016i | ||||
\(971\) | −13.5697 | − | 20.3084i | −0.435471 | − | 0.651728i | 0.547218 | − | 0.836990i | \(-0.315687\pi\) |
−0.982689 | + | 0.185262i | \(0.940687\pi\) | |||||||
\(972\) | 3.17249 | + | 31.0151i | 0.101758 | + | 0.994809i | ||||
\(973\) | −13.2957 | + | 2.64467i | −0.426239 | + | 0.0847842i | ||||
\(974\) | 4.17556 | − | 0.178765i | 0.133794 | − | 0.00572799i | ||||
\(975\) | 2.60479 | + | 9.12152i | 0.0834200 | + | 0.292123i | ||||
\(976\) | −21.5967 | + | 48.6345i | −0.691294 | + | 1.55675i | ||||
\(977\) | −12.7218 | − | 12.7218i | −0.407006 | − | 0.407006i | 0.473687 | − | 0.880693i | \(-0.342923\pi\) |
−0.880693 | + | 0.473687i | \(0.842923\pi\) | |||||||
\(978\) | −39.2510 | + | 13.0487i | −1.25511 | + | 0.417250i | ||||
\(979\) | −3.62187 | + | 0.720434i | −0.115755 | + | 0.0230252i | ||||
\(980\) | 0.995388 | − | 8.94868i | 0.0317965 | − | 0.285855i | ||||
\(981\) | −20.7066 | − | 9.38204i | −0.661110 | − | 0.299545i | ||||
\(982\) | −16.4961 | − | 10.0292i | −0.526412 | − | 0.320045i | ||||
\(983\) | −12.7626 | + | 5.28643i | −0.407063 | + | 0.168611i | −0.576813 | − | 0.816876i | \(-0.695704\pi\) |
0.169750 | + | 0.985487i | \(0.445704\pi\) | |||||||
\(984\) | 20.3918 | − | 14.0369i | 0.650067 | − | 0.447478i | ||||
\(985\) | −3.56225 | − | 1.47553i | −0.113503 | − | 0.0470144i | ||||
\(986\) | −24.7678 | + | 18.1283i | −0.788767 | + | 0.577321i | ||||
\(987\) | 2.93144 | + | 2.48714i | 0.0933088 | + | 0.0791667i | ||||
\(988\) | −0.429666 | + | 1.35472i | −0.0136695 | + | 0.0430993i | ||||
\(989\) | −16.2368 | − | 10.8491i | −0.516299 | − | 0.344980i | ||||
\(990\) | −1.77004 | + | 0.370634i | −0.0562557 | + | 0.0117795i | ||||
\(991\) | −35.2333 | −1.11922 | −0.559611 | − | 0.828755i | \(-0.689050\pi\) | ||||
−0.559611 | + | 0.828755i | \(0.689050\pi\) | |||||||
\(992\) | 34.4581 | − | 23.9110i | 1.09405 | − | 0.759173i | ||||
\(993\) | −8.61072 | − | 4.78528i | −0.273253 | − | 0.151856i | ||||
\(994\) | 14.0950 | + | 5.14369i | 0.447067 | + | 0.163148i | ||||
\(995\) | −3.78070 | + | 5.65822i | −0.119856 | + | 0.179378i | ||||
\(996\) | 0.845209 | − | 29.1719i | 0.0267815 | − | 0.924346i | ||||
\(997\) | −7.77599 | + | 39.0925i | −0.246268 | + | 1.23807i | 0.637612 | + | 0.770358i | \(0.279922\pi\) |
−0.883880 | + | 0.467715i | \(0.845078\pi\) | |||||||
\(998\) | −40.9334 | + | 29.9603i | −1.29572 | + | 0.948377i | ||||
\(999\) | 14.8987 | − | 41.6391i | 0.471375 | − | 1.31740i |
(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 | 192.2.s.a.59.20 | yes | 240 | |
3.2 | odd | 2 | inner | 192.2.s.a.59.11 | ✓ | 240 | |
4.3 | odd | 2 | 768.2.s.a.143.10 | 240 | |||
12.11 | even | 2 | 768.2.s.a.143.30 | 240 | |||
64.13 | even | 16 | 768.2.s.a.623.30 | 240 | |||
64.51 | odd | 16 | inner | 192.2.s.a.179.11 | yes | 240 | |
192.77 | odd | 16 | 768.2.s.a.623.10 | 240 | |||
192.179 | even | 16 | inner | 192.2.s.a.179.20 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
192.2.s.a.59.11 | ✓ | 240 | 3.2 | odd | 2 | inner | |
192.2.s.a.59.20 | yes | 240 | 1.1 | even | 1 | trivial | |
192.2.s.a.179.11 | yes | 240 | 64.51 | odd | 16 | inner | |
192.2.s.a.179.20 | yes | 240 | 192.179 | even | 16 | inner | |
768.2.s.a.143.10 | 240 | 4.3 | odd | 2 | |||
768.2.s.a.143.30 | 240 | 12.11 | even | 2 | |||
768.2.s.a.623.10 | 240 | 192.77 | odd | 16 | |||
768.2.s.a.623.30 | 240 | 64.13 | even | 16 |