Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(38,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 28]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.38");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.bz (of order \(30\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 38.19 | ||
Character | \(\chi\) | \(=\) | 403.38 |
Dual form | 403.2.bz.a.350.19 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{14}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0579861 | − | 0.0188408i | 0.0410024 | − | 0.0133225i | −0.288444 | − | 0.957497i | \(-0.593138\pi\) |
0.329446 | + | 0.944174i | \(0.393138\pi\) | |||||||
\(3\) | 1.89240 | − | 0.402242i | 1.09258 | − | 0.232234i | 0.373823 | − | 0.927500i | \(-0.378047\pi\) |
0.718753 | + | 0.695266i | \(0.244713\pi\) | |||||||
\(4\) | −1.61503 | + | 1.17339i | −0.807513 | + | 0.586693i | ||||
\(5\) | 2.24387 | + | 1.29550i | 1.00349 | + | 0.579366i | 0.909279 | − | 0.416186i | \(-0.136634\pi\) |
0.0942118 | + | 0.995552i | \(0.469967\pi\) | |||||||
\(6\) | 0.102154 | − | 0.0589787i | 0.0417043 | − | 0.0240780i | ||||
\(7\) | 2.03436 | − | 4.56926i | 0.768917 | − | 1.72702i | 0.0862663 | − | 0.996272i | \(-0.472506\pi\) |
0.682651 | − | 0.730745i | \(-0.260827\pi\) | |||||||
\(8\) | −0.143216 | + | 0.197120i | −0.0506346 | + | 0.0696925i | ||||
\(9\) | 0.678735 | − | 0.302192i | 0.226245 | − | 0.100731i | ||||
\(10\) | 0.154522 | + | 0.0328446i | 0.0488641 | + | 0.0103864i | ||||
\(11\) | 2.27243 | − | 0.238842i | 0.685164 | − | 0.0720137i | 0.244451 | − | 0.969662i | \(-0.421392\pi\) |
0.440713 | + | 0.897648i | \(0.354726\pi\) | |||||||
\(12\) | −2.58429 | + | 2.87014i | −0.746020 | + | 0.828539i | ||||
\(13\) | −3.04750 | − | 1.92685i | −0.845225 | − | 0.534411i | ||||
\(14\) | 0.0318763 | − | 0.303282i | 0.00851929 | − | 0.0810556i | ||||
\(15\) | 4.76741 | + | 1.54902i | 1.23094 | + | 0.399956i | ||||
\(16\) | 1.22918 | − | 3.78303i | 0.307295 | − | 0.945757i | ||||
\(17\) | −0.522162 | + | 4.96804i | −0.126643 | + | 1.20493i | 0.727951 | + | 0.685629i | \(0.240473\pi\) |
−0.854594 | + | 0.519297i | \(0.826194\pi\) | |||||||
\(18\) | 0.0336636 | − | 0.0303109i | 0.00793459 | − | 0.00714434i | ||||
\(19\) | 3.07559 | + | 2.76928i | 0.705589 | + | 0.635316i | 0.941717 | − | 0.336407i | \(-0.109212\pi\) |
−0.236127 | + | 0.971722i | \(0.575878\pi\) | |||||||
\(20\) | −5.14404 | + | 0.540660i | −1.15024 | + | 0.120895i | ||||
\(21\) | 2.01188 | − | 9.46516i | 0.439028 | − | 2.06547i | ||||
\(22\) | 0.127269 | − | 0.0566640i | 0.0271339 | − | 0.0120808i | ||||
\(23\) | 1.33604 | + | 0.970690i | 0.278583 | + | 0.202403i | 0.718299 | − | 0.695734i | \(-0.244921\pi\) |
−0.439716 | + | 0.898137i | \(0.644921\pi\) | |||||||
\(24\) | −0.191732 | + | 0.430638i | −0.0391372 | + | 0.0879035i | ||||
\(25\) | 0.856648 | + | 1.48376i | 0.171330 | + | 0.296752i | ||||
\(26\) | −0.213016 | − | 0.0543128i | −0.0417759 | − | 0.0106516i | ||||
\(27\) | −3.53267 | + | 2.56664i | −0.679863 | + | 0.493950i | ||||
\(28\) | 2.07595 | + | 9.76656i | 0.392317 | + | 1.84571i | ||||
\(29\) | 2.52474 | + | 7.77035i | 0.468833 | + | 1.44292i | 0.854098 | + | 0.520112i | \(0.174110\pi\) |
−0.385265 | + | 0.922806i | \(0.625890\pi\) | |||||||
\(30\) | 0.305628 | 0.0557998 | ||||||||
\(31\) | −2.19426 | − | 5.11715i | −0.394100 | − | 0.919068i | ||||
\(32\) | − | 0.729830i | − | 0.129017i | ||||||
\(33\) | 4.20427 | − | 1.36605i | 0.731870 | − | 0.237799i | ||||
\(34\) | 0.0633238 | + | 0.297915i | 0.0108599 | + | 0.0510920i | ||||
\(35\) | 10.4843 | − | 7.61732i | 1.77218 | − | 1.28756i | ||||
\(36\) | −0.741587 | + | 1.28447i | −0.123598 | + | 0.214078i | ||||
\(37\) | −3.55709 | + | 2.05369i | −0.584782 | + | 0.337624i | −0.763032 | − | 0.646361i | \(-0.776290\pi\) |
0.178249 | + | 0.983985i | \(0.442957\pi\) | |||||||
\(38\) | 0.230517 | + | 0.102633i | 0.0373948 | + | 0.0166492i | ||||
\(39\) | −6.54214 | − | 2.42053i | −1.04758 | − | 0.387595i | ||||
\(40\) | −0.576729 | + | 0.256776i | −0.0911889 | + | 0.0405999i | ||||
\(41\) | 0.298739 | − | 1.40546i | 0.0466552 | − | 0.219495i | −0.948644 | − | 0.316347i | \(-0.897544\pi\) |
0.995299 | + | 0.0968511i | \(0.0308771\pi\) | |||||||
\(42\) | −0.0616702 | − | 0.586753i | −0.00951592 | − | 0.0905379i | ||||
\(43\) | 5.30629 | − | 5.89323i | 0.809202 | − | 0.898709i | −0.187298 | − | 0.982303i | \(-0.559973\pi\) |
0.996500 | + | 0.0835937i | \(0.0266398\pi\) | |||||||
\(44\) | −3.38978 | + | 3.05218i | −0.511029 | + | 0.460133i | ||||
\(45\) | 1.91449 | + | 0.201221i | 0.285395 | + | 0.0299962i | ||||
\(46\) | 0.0957603 | + | 0.0311144i | 0.0141191 | + | 0.00458757i | ||||
\(47\) | −10.7807 | − | 3.50285i | −1.57252 | − | 0.510943i | −0.612406 | − | 0.790544i | \(-0.709798\pi\) |
−0.960116 | + | 0.279600i | \(0.909798\pi\) | |||||||
\(48\) | 0.804407 | − | 7.65342i | 0.116106 | − | 1.10468i | ||||
\(49\) | −12.0556 | − | 13.3890i | −1.72222 | − | 1.91272i | ||||
\(50\) | 0.0776289 | + | 0.0698974i | 0.0109784 | + | 0.00988498i | ||||
\(51\) | 1.01021 | + | 9.61154i | 0.141458 | + | 1.34589i | ||||
\(52\) | 7.18273 | − | 0.463987i | 0.996065 | − | 0.0643434i | ||||
\(53\) | −7.66427 | + | 3.41235i | −1.05277 | + | 0.468723i | −0.858814 | − | 0.512288i | \(-0.828798\pi\) |
−0.193955 | + | 0.981011i | \(0.562131\pi\) | |||||||
\(54\) | −0.156488 | + | 0.215388i | −0.0212954 | + | 0.0293106i | ||||
\(55\) | 5.40847 | + | 2.40801i | 0.729278 | + | 0.324696i | ||||
\(56\) | 0.609339 | + | 1.05541i | 0.0814264 | + | 0.141035i | ||||
\(57\) | 6.93416 | + | 4.00344i | 0.918452 | + | 0.530269i | ||||
\(58\) | 0.292800 | + | 0.403004i | 0.0384465 | + | 0.0529170i | ||||
\(59\) | −0.760313 | − | 3.57699i | −0.0989843 | − | 0.465684i | −0.999522 | − | 0.0309071i | \(-0.990160\pi\) |
0.900538 | − | 0.434777i | \(-0.143173\pi\) | |||||||
\(60\) | −9.51709 | + | 3.09229i | −1.22865 | + | 0.399213i | ||||
\(61\) | −7.93218 | −1.01561 | −0.507806 | − | 0.861472i | \(-0.669543\pi\) | ||||
−0.507806 | + | 0.861472i | \(0.669543\pi\) | |||||||
\(62\) | −0.223648 | − | 0.255382i | −0.0284033 | − | 0.0324335i | ||||
\(63\) | − | 3.71608i | − | 0.468182i | ||||||
\(64\) | 2.44461 | + | 7.52373i | 0.305576 | + | 0.940467i | ||||
\(65\) | −4.34198 | − | 8.27164i | −0.538556 | − | 1.02597i | ||||
\(66\) | 0.218052 | − | 0.158424i | 0.0268403 | − | 0.0195006i | ||||
\(67\) | 9.62338 | + | 5.55606i | 1.17568 | + | 0.678781i | 0.955012 | − | 0.296567i | \(-0.0958419\pi\) |
0.220671 | + | 0.975348i | \(0.429175\pi\) | |||||||
\(68\) | −4.98612 | − | 8.63621i | −0.604656 | − | 1.04729i | ||||
\(69\) | 2.91877 | + | 1.29952i | 0.351379 | + | 0.156444i | ||||
\(70\) | 0.464429 | − | 0.639232i | 0.0555099 | − | 0.0764028i | ||||
\(71\) | 0.542192 | + | 1.21778i | 0.0643463 | + | 0.144524i | 0.942856 | − | 0.333200i | \(-0.108128\pi\) |
−0.878510 | + | 0.477724i | \(0.841462\pi\) | |||||||
\(72\) | −0.0376376 | + | 0.177071i | −0.00443564 | + | 0.0208680i | ||||
\(73\) | −0.177366 | + | 0.0186419i | −0.0207591 | + | 0.00218187i | −0.114902 | − | 0.993377i | \(-0.536656\pi\) |
0.0941432 | + | 0.995559i | \(0.469989\pi\) | |||||||
\(74\) | −0.167569 | + | 0.186104i | −0.0194795 | + | 0.0216341i | ||||
\(75\) | 2.21795 | + | 2.46328i | 0.256107 | + | 0.284435i | ||||
\(76\) | −8.21659 | − | 0.863599i | −0.942508 | − | 0.0990616i | ||||
\(77\) | 3.53162 | − | 10.8692i | 0.402466 | − | 1.23866i | ||||
\(78\) | −0.424958 | − | 0.0170976i | −0.0481170 | − | 0.00193592i | ||||
\(79\) | −0.597940 | + | 5.68902i | −0.0672735 | + | 0.640064i | 0.907986 | + | 0.419001i | \(0.137620\pi\) |
−0.975259 | + | 0.221064i | \(0.929047\pi\) | |||||||
\(80\) | 7.65904 | − | 6.89623i | 0.856307 | − | 0.771022i | ||||
\(81\) | −7.14424 | + | 7.93448i | −0.793805 | + | 0.881609i | ||||
\(82\) | −0.00915725 | − | 0.0871254i | −0.00101125 | − | 0.00962139i | ||||
\(83\) | −0.120614 | + | 0.567443i | −0.0132391 | + | 0.0622850i | −0.984271 | − | 0.176664i | \(-0.943469\pi\) |
0.971032 | + | 0.238949i | \(0.0768028\pi\) | |||||||
\(84\) | 7.85704 | + | 17.6472i | 0.857273 | + | 1.92547i | ||||
\(85\) | −7.60777 | + | 10.4712i | −0.825179 | + | 1.13576i | ||||
\(86\) | 0.196658 | − | 0.441700i | 0.0212061 | − | 0.0476298i | ||||
\(87\) | 7.90337 | + | 13.6890i | 0.847330 | + | 1.46762i | ||||
\(88\) | −0.278369 | + | 0.482149i | −0.0296742 | + | 0.0513972i | ||||
\(89\) | 5.10194 | + | 7.02221i | 0.540804 | + | 0.744353i | 0.988729 | − | 0.149718i | \(-0.0478367\pi\) |
−0.447925 | + | 0.894071i | \(0.647837\pi\) | |||||||
\(90\) | 0.114805 | − | 0.0244025i | 0.0121015 | − | 0.00257225i | ||||
\(91\) | −15.0040 | + | 10.0049i | −1.57284 | + | 1.04880i | ||||
\(92\) | −3.29673 | −0.343708 | ||||||||
\(93\) | −6.21074 | − | 8.80106i | −0.644023 | − | 0.912628i | ||||
\(94\) | −0.691125 | −0.0712841 | ||||||||
\(95\) | 3.31364 | + | 10.1983i | 0.339973 | + | 1.04633i | ||||
\(96\) | −0.293568 | − | 1.38113i | −0.0299621 | − | 0.140961i | ||||
\(97\) | −2.40060 | − | 3.30415i | −0.243744 | − | 0.335485i | 0.669564 | − | 0.742754i | \(-0.266481\pi\) |
−0.913308 | + | 0.407269i | \(0.866481\pi\) | |||||||
\(98\) | −0.951315 | − | 0.549242i | −0.0960973 | − | 0.0554818i | ||||
\(99\) | 1.47020 | − | 0.848822i | 0.147761 | − | 0.0853098i | ||||
\(100\) | −3.12453 | − | 1.39113i | −0.312453 | − | 0.139113i | ||||
\(101\) | −1.95375 | − | 1.41948i | −0.194405 | − | 0.141244i | 0.486325 | − | 0.873778i | \(-0.338337\pi\) |
−0.680730 | + | 0.732535i | \(0.738337\pi\) | |||||||
\(102\) | 0.239668 | + | 0.538303i | 0.0237306 | + | 0.0532999i | ||||
\(103\) | −6.87085 | − | 1.46045i | −0.677005 | − | 0.143902i | −0.143438 | − | 0.989659i | \(-0.545816\pi\) |
−0.533568 | + | 0.845757i | \(0.679149\pi\) | |||||||
\(104\) | 0.816272 | − | 0.324769i | 0.0800421 | − | 0.0318462i | ||||
\(105\) | 16.7765 | − | 18.6322i | 1.63722 | − | 1.81832i | ||||
\(106\) | −0.380129 | + | 0.342270i | −0.0369214 | + | 0.0332442i | ||||
\(107\) | 1.47309 | − | 14.0155i | 0.142409 | − | 1.35493i | −0.656885 | − | 0.753990i | \(-0.728126\pi\) |
0.799294 | − | 0.600940i | \(-0.205207\pi\) | |||||||
\(108\) | 2.69371 | − | 8.29037i | 0.259202 | − | 0.797742i | ||||
\(109\) | −12.7991 | − | 4.15869i | −1.22594 | − | 0.398331i | −0.376695 | − | 0.926337i | \(-0.622940\pi\) |
−0.849240 | + | 0.528007i | \(0.822940\pi\) | |||||||
\(110\) | 0.358985 | + | 0.0377308i | 0.0342279 | + | 0.00359750i | ||||
\(111\) | −5.90536 | + | 5.31721i | −0.560512 | + | 0.504687i | ||||
\(112\) | −14.7850 | − | 13.3125i | −1.39705 | − | 1.25791i | ||||
\(113\) | 0.511730 | + | 4.86879i | 0.0481396 | + | 0.458017i | 0.991866 | + | 0.127289i | \(0.0406276\pi\) |
−0.943726 | + | 0.330728i | \(0.892706\pi\) | |||||||
\(114\) | 0.477513 | + | 0.101499i | 0.0447232 | + | 0.00950621i | ||||
\(115\) | 1.74038 | + | 3.90895i | 0.162291 | + | 0.364511i | ||||
\(116\) | −13.1951 | − | 9.58683i | −1.22514 | − | 0.890115i | ||||
\(117\) | −2.65072 | − | 0.386886i | −0.245059 | − | 0.0357676i | ||||
\(118\) | −0.111481 | − | 0.193091i | −0.0102627 | − | 0.0177754i | ||||
\(119\) | 21.6380 | + | 12.4927i | 1.98355 | + | 1.14520i | ||||
\(120\) | −0.988114 | + | 0.717907i | −0.0902021 | + | 0.0655357i | ||||
\(121\) | −5.65272 | + | 1.20152i | −0.513884 | + | 0.109229i | ||||
\(122\) | −0.459956 | + | 0.149449i | −0.0416425 | + | 0.0135305i | ||||
\(123\) | − | 2.77985i | − | 0.250651i | ||||||
\(124\) | 9.54817 | + | 5.68963i | 0.857451 | + | 0.510944i | ||||
\(125\) | − | 8.51586i | − | 0.761681i | ||||||
\(126\) | −0.0700140 | − | 0.215481i | −0.00623735 | − | 0.0191966i | ||||
\(127\) | 6.31547 | − | 1.34240i | 0.560408 | − | 0.119118i | 0.0810056 | − | 0.996714i | \(-0.474187\pi\) |
0.479402 | + | 0.877595i | \(0.340854\pi\) | |||||||
\(128\) | 1.14147 | + | 1.57110i | 0.100893 | + | 0.138867i | ||||
\(129\) | 7.67111 | − | 13.2867i | 0.675403 | − | 1.16983i | ||||
\(130\) | −0.407619 | − | 0.397834i | −0.0357505 | − | 0.0348923i | ||||
\(131\) | −1.17108 | − | 0.521399i | −0.102318 | − | 0.0455549i | 0.354939 | − | 0.934889i | \(-0.384501\pi\) |
−0.457257 | + | 0.889334i | \(0.651168\pi\) | |||||||
\(132\) | −5.18711 | + | 7.13944i | −0.451480 | + | 0.621409i | ||||
\(133\) | 18.9104 | − | 8.41946i | 1.63974 | − | 0.730060i | ||||
\(134\) | 0.662703 | + | 0.140862i | 0.0572488 | + | 0.0121686i | ||||
\(135\) | −11.2520 | + | 1.18263i | −0.968414 | + | 0.101784i | ||||
\(136\) | −0.904519 | − | 0.814433i | −0.0775619 | − | 0.0698370i | ||||
\(137\) | 12.7639 | − | 11.4927i | 1.09050 | − | 0.981887i | 0.0905940 | − | 0.995888i | \(-0.471123\pi\) |
0.999902 | + | 0.0140009i | \(0.00445676\pi\) | |||||||
\(138\) | 0.193732 | + | 0.0203621i | 0.0164916 | + | 0.00173333i | ||||
\(139\) | −4.00268 | + | 12.3190i | −0.339503 | + | 1.04488i | 0.624959 | + | 0.780658i | \(0.285116\pi\) |
−0.964461 | + | 0.264224i | \(0.914884\pi\) | |||||||
\(140\) | −7.99443 | + | 24.6043i | −0.675653 | + | 2.07945i | ||||
\(141\) | −21.8103 | − | 2.29236i | −1.83676 | − | 0.193051i | ||||
\(142\) | 0.0543836 | + | 0.0603991i | 0.00456377 | + | 0.00506858i | ||||
\(143\) | −7.38545 | − | 3.65076i | −0.617603 | − | 0.305291i | ||||
\(144\) | −0.308914 | − | 2.93912i | −0.0257428 | − | 0.244927i | ||||
\(145\) | −4.40130 | + | 20.7065i | −0.365508 | + | 1.71958i | ||||
\(146\) | −0.00993350 | + | 0.00442268i | −0.000822103 | + | 0.000366024i | ||||
\(147\) | −28.1995 | − | 20.4882i | −2.32586 | − | 1.68984i | ||||
\(148\) | 3.33503 | − | 7.49060i | 0.274138 | − | 0.615724i | ||||
\(149\) | −3.29475 | + | 1.90222i | −0.269916 | + | 0.155836i | −0.628850 | − | 0.777527i | \(-0.716474\pi\) |
0.358933 | + | 0.933363i | \(0.383141\pi\) | |||||||
\(150\) | 0.175020 | + | 0.101048i | 0.0142904 | + | 0.00825054i | ||||
\(151\) | −0.378598 | − | 0.521095i | −0.0308098 | − | 0.0424061i | 0.793334 | − | 0.608786i | \(-0.208343\pi\) |
−0.824144 | + | 0.566380i | \(0.808343\pi\) | |||||||
\(152\) | −0.986356 | + | 0.209656i | −0.0800040 | + | 0.0170054i | ||||
\(153\) | 1.14689 | + | 3.52978i | 0.0927208 | + | 0.285365i | ||||
\(154\) | − | 0.696802i | − | 0.0561499i | ||||||
\(155\) | 1.70564 | − | 14.3249i | 0.137000 | − | 1.15060i | ||||
\(156\) | 13.4059 | − | 3.76724i | 1.07333 | − | 0.301621i | ||||
\(157\) | 1.20068 | + | 3.69531i | 0.0958245 | + | 0.294918i | 0.987468 | − | 0.157821i | \(-0.0504470\pi\) |
−0.891643 | + | 0.452739i | \(0.850447\pi\) | |||||||
\(158\) | 0.0725136 | + | 0.341149i | 0.00576887 | + | 0.0271404i | ||||
\(159\) | −13.1313 | + | 9.54042i | −1.04138 | + | 0.756604i | ||||
\(160\) | 0.945496 | − | 1.63765i | 0.0747480 | − | 0.129467i | ||||
\(161\) | 7.15332 | − | 4.12997i | 0.563761 | − | 0.325487i | ||||
\(162\) | −0.264774 | + | 0.594693i | −0.0208026 | + | 0.0467235i | ||||
\(163\) | 3.70236 | − | 5.09587i | 0.289992 | − | 0.399139i | −0.639020 | − | 0.769190i | \(-0.720660\pi\) |
0.929011 | + | 0.370051i | \(0.120660\pi\) | |||||||
\(164\) | 1.16667 | + | 2.62039i | 0.0911017 | + | 0.204618i | ||||
\(165\) | 11.2036 | + | 2.38140i | 0.872198 | + | 0.185391i | ||||
\(166\) | 0.00369718 | + | 0.0351763i | 0.000286957 | + | 0.00273021i | ||||
\(167\) | −12.8144 | − | 11.5381i | −0.991606 | − | 0.892846i | 0.00263654 | − | 0.999997i | \(-0.499161\pi\) |
−0.994243 | + | 0.107150i | \(0.965827\pi\) | |||||||
\(168\) | 1.57764 | + | 1.75215i | 0.121718 | + | 0.135181i | ||||
\(169\) | 5.57453 | + | 11.7441i | 0.428810 | + | 0.903395i | ||||
\(170\) | −0.243859 | + | 0.750520i | −0.0187031 | + | 0.0575623i | ||||
\(171\) | 2.92437 | + | 0.950184i | 0.223632 | + | 0.0726624i | ||||
\(172\) | −1.65477 | + | 15.7440i | −0.126175 | + | 1.20047i | ||||
\(173\) | 15.4440 | + | 17.1523i | 1.17419 | + | 1.30407i | 0.943627 | + | 0.331010i | \(0.107389\pi\) |
0.230561 | + | 0.973058i | \(0.425944\pi\) | |||||||
\(174\) | 0.716198 | + | 0.644868i | 0.0542949 | + | 0.0488873i | ||||
\(175\) | 8.52241 | − | 0.895741i | 0.644234 | − | 0.0677117i | ||||
\(176\) | 1.88968 | − | 8.89025i | 0.142440 | − | 0.670128i | ||||
\(177\) | −2.87763 | − | 6.46326i | −0.216296 | − | 0.485808i | ||||
\(178\) | 0.428145 | + | 0.311066i | 0.0320909 | + | 0.0233154i | ||||
\(179\) | 10.9368 | + | 4.86940i | 0.817458 | + | 0.363956i | 0.772486 | − | 0.635032i | \(-0.219013\pi\) |
0.0449727 | + | 0.998988i | \(0.485680\pi\) | |||||||
\(180\) | −3.32806 | + | 1.92145i | −0.248059 | + | 0.143217i | ||||
\(181\) | 8.14964 | − | 14.1156i | 0.605758 | − | 1.04920i | −0.386173 | − | 0.922426i | \(-0.626203\pi\) |
0.991931 | − | 0.126778i | \(-0.0404635\pi\) | |||||||
\(182\) | −0.681521 | + | 0.862833i | −0.0505177 | + | 0.0639574i | ||||
\(183\) | −15.0108 | + | 3.19065i | −1.10963 | + | 0.235860i | ||||
\(184\) | −0.382685 | + | 0.124342i | −0.0282119 | + | 0.00916661i | ||||
\(185\) | −10.6422 | −0.782432 | ||||||||
\(186\) | −0.525956 | − | 0.393324i | −0.0385649 | − | 0.0288399i | ||||
\(187\) | 11.4143i | 0.834693i | ||||||||
\(188\) | 21.5213 | − | 6.99268i | 1.56960 | − | 0.509994i | ||||
\(189\) | 4.54088 | + | 21.3632i | 0.330300 | + | 1.55394i | ||||
\(190\) | 0.384290 | + | 0.528930i | 0.0278794 | + | 0.0383726i | ||||
\(191\) | −7.47426 | + | 12.9458i | −0.540819 | + | 0.936725i | 0.458039 | + | 0.888932i | \(0.348552\pi\) |
−0.998857 | + | 0.0477932i | \(0.984781\pi\) | |||||||
\(192\) | 7.65253 | + | 13.2546i | 0.552274 | + | 0.956566i | ||||
\(193\) | 6.09386 | − | 13.6870i | 0.438646 | − | 0.985214i | −0.550030 | − | 0.835145i | \(-0.685384\pi\) |
0.988675 | − | 0.150069i | \(-0.0479497\pi\) | |||||||
\(194\) | −0.201454 | − | 0.146365i | −0.0144636 | − | 0.0105084i | ||||
\(195\) | −11.5439 | − | 13.9067i | −0.826679 | − | 0.995881i | ||||
\(196\) | 35.1806 | + | 7.47786i | 2.51290 | + | 0.534133i | ||||
\(197\) | 24.3219 | − | 2.55634i | 1.73287 | − | 0.182132i | 0.815118 | − | 0.579294i | \(-0.196672\pi\) |
0.917748 | + | 0.397163i | \(0.130005\pi\) | |||||||
\(198\) | 0.0692588 | − | 0.0769197i | 0.00492201 | − | 0.00546644i | ||||
\(199\) | −9.97349 | − | 11.0767i | −0.707002 | − | 0.785205i | 0.277472 | − | 0.960734i | \(-0.410503\pi\) |
−0.984474 | + | 0.175528i | \(0.943837\pi\) | |||||||
\(200\) | −0.415165 | − | 0.0436356i | −0.0293566 | − | 0.00308550i | ||||
\(201\) | 20.4461 | + | 6.64336i | 1.44216 | + | 0.468586i | ||||
\(202\) | −0.140034 | − | 0.0454999i | −0.00985278 | − | 0.00320136i | ||||
\(203\) | 40.6410 | + | 4.27154i | 2.85244 | + | 0.299803i | ||||
\(204\) | −12.9096 | − | 14.3375i | −0.903851 | − | 1.00383i | ||||
\(205\) | 2.49110 | − | 2.76665i | 0.173986 | − | 0.193231i | ||||
\(206\) | −0.425930 | + | 0.0447670i | −0.0296759 | + | 0.00311907i | ||||
\(207\) | 1.20015 | + | 0.255100i | 0.0834163 | + | 0.0177307i | ||||
\(208\) | −11.0352 | + | 9.16034i | −0.765156 | + | 0.635155i | ||||
\(209\) | 7.65050 | + | 5.55841i | 0.529196 | + | 0.384483i | ||||
\(210\) | 0.621759 | − | 1.39649i | 0.0429054 | − | 0.0963672i | ||||
\(211\) | 3.54839 | + | 6.14599i | 0.244281 | + | 0.423107i | 0.961929 | − | 0.273299i | \(-0.0881147\pi\) |
−0.717648 | + | 0.696406i | \(0.754781\pi\) | |||||||
\(212\) | 8.37399 | − | 14.5042i | 0.575128 | − | 0.996151i | ||||
\(213\) | 1.51588 | + | 2.08644i | 0.103867 | + | 0.142960i | ||||
\(214\) | −0.178645 | − | 0.840459i | −0.0122119 | − | 0.0574526i | ||||
\(215\) | 19.5413 | − | 6.34937i | 1.33271 | − | 0.433023i | ||||
\(216\) | − | 1.06395i | − | 0.0723923i | ||||||
\(217\) | −27.8455 | − | 0.384027i | −1.89028 | − | 0.0260694i | ||||
\(218\) | −0.820525 | −0.0555730 | ||||||||
\(219\) | −0.328148 | + | 0.106622i | −0.0221742 | + | 0.00720482i | ||||
\(220\) | −11.5603 | + | 2.45723i | −0.779399 | + | 0.165666i | ||||
\(221\) | 11.1639 | − | 14.1340i | 0.750968 | − | 0.950755i | ||||
\(222\) | −0.242248 | + | 0.419586i | −0.0162586 | + | 0.0281607i | ||||
\(223\) | 4.63964 | − | 2.67870i | 0.310693 | − | 0.179379i | −0.336543 | − | 0.941668i | \(-0.609258\pi\) |
0.647237 | + | 0.762289i | \(0.275925\pi\) | |||||||
\(224\) | −3.33478 | − | 1.48474i | −0.222814 | − | 0.0992033i | ||||
\(225\) | 1.02982 | + | 0.748206i | 0.0686545 | + | 0.0498804i | ||||
\(226\) | 0.121405 | + | 0.272681i | 0.00807576 | + | 0.0181384i | ||||
\(227\) | −4.71359 | + | 22.1757i | −0.312852 | + | 1.47185i | 0.487922 | + | 0.872887i | \(0.337755\pi\) |
−0.800774 | + | 0.598966i | \(0.795578\pi\) | |||||||
\(228\) | −15.8964 | + | 1.67078i | −1.05277 | + | 0.110650i | ||||
\(229\) | 20.2578 | + | 18.2402i | 1.33867 | + | 1.20535i | 0.960062 | + | 0.279789i | \(0.0902645\pi\) |
0.378610 | + | 0.925556i | \(0.376402\pi\) | |||||||
\(230\) | 0.174565 | + | 0.193874i | 0.0115105 | + | 0.0127837i | ||||
\(231\) | 2.31118 | − | 21.9895i | 0.152065 | − | 1.44680i | ||||
\(232\) | −1.89328 | − | 0.615163i | −0.124300 | − | 0.0403874i | ||||
\(233\) | −5.20096 | + | 16.0069i | −0.340726 | + | 1.04865i | 0.623106 | + | 0.782137i | \(0.285871\pi\) |
−0.963832 | + | 0.266510i | \(0.914129\pi\) | |||||||
\(234\) | −0.160994 | + | 0.0275078i | −0.0105245 | + | 0.00179824i | ||||
\(235\) | −19.6525 | − | 21.8263i | −1.28199 | − | 1.42379i | ||||
\(236\) | 5.42511 | + | 4.88479i | 0.353145 | + | 0.317973i | ||||
\(237\) | 1.15682 | + | 11.0064i | 0.0751435 | + | 0.714942i | ||||
\(238\) | 1.49007 | + | 0.316725i | 0.0965872 | + | 0.0205302i | ||||
\(239\) | −5.88834 | − | 13.2254i | −0.380885 | − | 0.855482i | −0.997662 | − | 0.0683437i | \(-0.978229\pi\) |
0.616777 | − | 0.787138i | \(-0.288438\pi\) | |||||||
\(240\) | 11.7200 | − | 16.1312i | 0.756523 | − | 1.04126i | ||||
\(241\) | 2.42600 | − | 5.44888i | 0.156272 | − | 0.350994i | −0.818394 | − | 0.574658i | \(-0.805135\pi\) |
0.974666 | + | 0.223664i | \(0.0718019\pi\) | |||||||
\(242\) | −0.305141 | + | 0.176173i | −0.0196152 | + | 0.0113249i | ||||
\(243\) | −3.77823 | + | 6.54409i | −0.242374 | + | 0.419804i | ||||
\(244\) | 12.8107 | − | 9.30750i | 0.820120 | − | 0.595852i | ||||
\(245\) | −9.70562 | − | 45.6613i | −0.620069 | − | 2.91720i | ||||
\(246\) | −0.0523746 | − | 0.161193i | −0.00333928 | − | 0.0102773i | ||||
\(247\) | −4.03691 | − | 14.3656i | −0.256862 | − | 0.914059i | ||||
\(248\) | 1.32295 | + | 0.300327i | 0.0840073 | + | 0.0190708i | ||||
\(249\) | 1.12234i | 0.0711257i | ||||||||
\(250\) | −0.160446 | − | 0.493801i | −0.0101475 | − | 0.0312307i | ||||
\(251\) | 17.6797 | − | 3.75794i | 1.11593 | − | 0.237199i | 0.387199 | − | 0.921996i | \(-0.373443\pi\) |
0.728734 | + | 0.684797i | \(0.240109\pi\) | |||||||
\(252\) | 4.36040 | + | 6.00157i | 0.274679 | + | 0.378063i | ||||
\(253\) | 3.26790 | + | 1.88672i | 0.205451 | + | 0.118617i | ||||
\(254\) | 0.340918 | − | 0.196829i | 0.0213911 | − | 0.0123501i | ||||
\(255\) | −10.1850 | + | 22.8758i | −0.637808 | + | 1.43254i | ||||
\(256\) | −12.7043 | − | 9.23025i | −0.794022 | − | 0.576891i | ||||
\(257\) | 17.2753 | − | 7.69145i | 1.07760 | − | 0.479779i | 0.210338 | − | 0.977629i | \(-0.432543\pi\) |
0.867264 | + | 0.497849i | \(0.165877\pi\) | |||||||
\(258\) | 0.194484 | − | 0.914976i | 0.0121081 | − | 0.0569639i | ||||
\(259\) | 2.14741 | + | 20.4312i | 0.133433 | + | 1.26953i | ||||
\(260\) | 16.7182 | + | 8.26411i | 1.03682 | + | 0.512518i | ||||
\(261\) | 4.06177 | + | 4.51105i | 0.251417 | + | 0.279227i | ||||
\(262\) | −0.0777300 | − | 0.00816976i | −0.00480218 | − | 0.000504729i | ||||
\(263\) | 3.05253 | − | 9.39471i | 0.188227 | − | 0.579302i | −0.811762 | − | 0.583988i | \(-0.801491\pi\) |
0.999989 | + | 0.00468564i | \(0.00149149\pi\) | |||||||
\(264\) | −0.332844 | + | 1.02439i | −0.0204851 | + | 0.0630467i | ||||
\(265\) | −21.6184 | − | 2.27218i | −1.32801 | − | 0.139579i | ||||
\(266\) | 0.937911 | − | 0.844499i | 0.0575070 | − | 0.0517796i | ||||
\(267\) | 12.4795 | + | 11.2366i | 0.763734 | + | 0.687669i | ||||
\(268\) | −22.0614 | + | 2.31875i | −1.34762 | + | 0.141640i | ||||
\(269\) | 10.0750 | + | 2.14150i | 0.614281 | + | 0.130569i | 0.504536 | − | 0.863390i | \(-0.331663\pi\) |
0.109744 | + | 0.993960i | \(0.464997\pi\) | |||||||
\(270\) | −0.630175 | + | 0.280572i | −0.0383512 | + | 0.0170751i | ||||
\(271\) | −0.707292 | + | 0.973504i | −0.0429649 | + | 0.0591361i | −0.829959 | − | 0.557824i | \(-0.811636\pi\) |
0.786994 | + | 0.616961i | \(0.211636\pi\) | |||||||
\(272\) | 18.1524 | + | 8.08197i | 1.10065 | + | 0.490041i | ||||
\(273\) | −24.3691 | + | 24.9685i | −1.47489 | + | 1.51116i | ||||
\(274\) | 0.523598 | − | 0.906899i | 0.0316317 | − | 0.0547878i | ||||
\(275\) | 2.30106 | + | 3.16714i | 0.138759 | + | 0.190986i | ||||
\(276\) | −6.23873 | + | 1.32608i | −0.375527 | + | 0.0798208i | ||||
\(277\) | 2.42510 | + | 7.46368i | 0.145710 | + | 0.448449i | 0.997102 | − | 0.0760814i | \(-0.0242409\pi\) |
−0.851392 | + | 0.524530i | \(0.824241\pi\) | |||||||
\(278\) | 0.789743i | 0.0473656i | ||||||||
\(279\) | −3.03568 | − | 2.81010i | −0.181741 | − | 0.168236i | ||||
\(280\) | 3.15760i | 0.188703i | ||||||||
\(281\) | −8.06556 | + | 2.62066i | −0.481151 | + | 0.156335i | −0.539543 | − | 0.841958i | \(-0.681403\pi\) |
0.0583915 | + | 0.998294i | \(0.481403\pi\) | |||||||
\(282\) | −1.30788 | + | 0.277999i | −0.0778834 | + | 0.0165546i | ||||
\(283\) | −0.726161 | + | 0.527587i | −0.0431658 | + | 0.0313618i | −0.609159 | − | 0.793048i | \(-0.708493\pi\) |
0.565993 | + | 0.824410i | \(0.308493\pi\) | |||||||
\(284\) | −2.30458 | − | 1.33055i | −0.136752 | − | 0.0789537i | ||||
\(285\) | 10.3729 | + | 17.9664i | 0.614439 | + | 1.06424i | ||||
\(286\) | −0.497037 | − | 0.0725450i | −0.0293904 | − | 0.00428968i | ||||
\(287\) | −5.81415 | − | 4.22423i | −0.343198 | − | 0.249348i | ||||
\(288\) | −0.220549 | − | 0.495361i | −0.0129960 | − | 0.0291894i | ||||
\(289\) | −7.78026 | − | 1.65375i | −0.457663 | − | 0.0972792i | ||||
\(290\) | 0.134913 | + | 1.28361i | 0.00792237 | + | 0.0753764i | ||||
\(291\) | −5.87196 | − | 5.28714i | −0.344220 | − | 0.309937i | ||||
\(292\) | 0.264576 | − | 0.238225i | 0.0154831 | − | 0.0139411i | ||||
\(293\) | −16.8751 | − | 1.77364i | −0.985854 | − | 0.103617i | −0.402141 | − | 0.915578i | \(-0.631734\pi\) |
−0.583713 | + | 0.811960i | \(0.698401\pi\) | |||||||
\(294\) | −2.02119 | − | 0.656726i | −0.117878 | − | 0.0383010i | ||||
\(295\) | 2.92795 | − | 9.01130i | 0.170472 | − | 0.524658i | ||||
\(296\) | 0.104610 | − | 0.995297i | 0.00608033 | − | 0.0578504i | ||||
\(297\) | −7.41474 | + | 6.67626i | −0.430247 | + | 0.387396i | ||||
\(298\) | −0.155210 | + | 0.172378i | −0.00899107 | + | 0.00998560i | ||||
\(299\) | −2.20121 | − | 5.53252i | −0.127299 | − | 0.319954i | ||||
\(300\) | −6.47243 | − | 1.37576i | −0.373686 | − | 0.0794293i | ||||
\(301\) | −16.1328 | − | 36.2348i | −0.929877 | − | 2.08854i | ||||
\(302\) | −0.0317713 | − | 0.0230832i | −0.00182823 | − | 0.00132829i | ||||
\(303\) | −4.26824 | − | 1.90034i | −0.245204 | − | 0.109172i | ||||
\(304\) | 14.2567 | − | 8.23111i | 0.817678 | − | 0.472087i | ||||
\(305\) | −17.7988 | − | 10.2761i | −1.01916 | − | 0.588411i | ||||
\(306\) | 0.133008 | + | 0.183069i | 0.00760355 | + | 0.0104654i | ||||
\(307\) | 7.23776 | + | 34.0510i | 0.413081 | + | 1.94339i | 0.318700 | + | 0.947856i | \(0.396754\pi\) |
0.0943803 | + | 0.995536i | \(0.469913\pi\) | |||||||
\(308\) | 7.05012 | + | 21.6980i | 0.401718 | + | 1.23636i | ||||
\(309\) | −13.5898 | −0.773099 | ||||||||
\(310\) | −0.170990 | − | 0.862781i | −0.00971156 | − | 0.0490027i | ||||
\(311\) | −6.49850 | −0.368496 | −0.184248 | − | 0.982880i | \(-0.558985\pi\) | ||||
−0.184248 | + | 0.982880i | \(0.558985\pi\) | |||||||
\(312\) | 1.41408 | − | 0.942930i | 0.0800563 | − | 0.0533829i | ||||
\(313\) | −3.26391 | + | 0.693765i | −0.184487 | + | 0.0392139i | −0.299229 | − | 0.954181i | \(-0.596729\pi\) |
0.114742 | + | 0.993395i | \(0.463396\pi\) | |||||||
\(314\) | 0.139245 | + | 0.191655i | 0.00785806 | + | 0.0108157i | ||||
\(315\) | 4.81419 | − | 8.33842i | 0.271249 | − | 0.469817i | ||||
\(316\) | −5.70972 | − | 9.88953i | −0.321197 | − | 0.556329i | ||||
\(317\) | 11.1338 | − | 25.0069i | 0.625336 | − | 1.40453i | −0.271619 | − | 0.962405i | \(-0.587559\pi\) |
0.896955 | − | 0.442122i | \(-0.145774\pi\) | |||||||
\(318\) | −0.581681 | + | 0.800615i | −0.0326190 | + | 0.0448963i | ||||
\(319\) | 7.59319 | + | 17.0546i | 0.425137 | + | 0.954874i | ||||
\(320\) | −4.26161 | + | 20.0493i | −0.238231 | + | 1.12079i | ||||
\(321\) | −2.84995 | − | 27.1155i | −0.159069 | − | 1.51344i | ||||
\(322\) | 0.336981 | − | 0.374255i | 0.0187792 | − | 0.0208564i | ||||
\(323\) | −15.3638 | + | 13.8337i | −0.854867 | + | 0.769725i | ||||
\(324\) | 2.22793 | − | 21.1974i | 0.123774 | − | 1.17763i | ||||
\(325\) | 0.248337 | − | 6.17239i | 0.0137753 | − | 0.342382i | ||||
\(326\) | 0.118675 | − | 0.365245i | 0.00657282 | − | 0.0202291i | ||||
\(327\) | −25.8939 | − | 2.72156i | −1.43193 | − | 0.150502i | ||||
\(328\) | 0.234260 | + | 0.260172i | 0.0129348 | + | 0.0143656i | ||||
\(329\) | −37.9372 | + | 42.1336i | −2.09155 | + | 2.32290i | ||||
\(330\) | 0.694519 | − | 0.0729969i | 0.0382320 | − | 0.00401835i | ||||
\(331\) | 0.343375 | − | 1.61545i | 0.0188736 | − | 0.0887934i | −0.967703 | − | 0.252094i | \(-0.918881\pi\) |
0.986576 | + | 0.163301i | \(0.0522141\pi\) | |||||||
\(332\) | −0.471035 | − | 1.05796i | −0.0258514 | − | 0.0580632i | ||||
\(333\) | −1.79371 | + | 2.46884i | −0.0982949 | + | 0.135291i | ||||
\(334\) | −0.960443 | − | 0.427617i | −0.0525531 | − | 0.0233982i | ||||
\(335\) | 14.3958 | + | 24.9342i | 0.786525 | + | 1.36230i | ||||
\(336\) | −33.3340 | − | 19.2454i | −1.81852 | − | 1.04992i | ||||
\(337\) | −1.40439 | + | 1.02035i | −0.0765023 | + | 0.0555821i | −0.625379 | − | 0.780321i | \(-0.715056\pi\) |
0.548877 | + | 0.835903i | \(0.315056\pi\) | |||||||
\(338\) | 0.544514 | + | 0.575967i | 0.0296177 | + | 0.0313285i | ||||
\(339\) | 2.92683 | + | 9.00785i | 0.158963 | + | 0.489239i | ||||
\(340\) | − | 25.8381i | − | 1.40127i | ||||||
\(341\) | −6.20849 | − | 11.1043i | −0.336209 | − | 0.601332i | ||||
\(342\) | 0.187475 | 0.0101375 | ||||||||
\(343\) | −52.4053 | + | 17.0275i | −2.82962 | + | 0.919399i | ||||
\(344\) | 0.401728 | + | 1.88998i | 0.0216597 | + | 0.101901i | ||||
\(345\) | 4.86582 | + | 6.69723i | 0.261967 | + | 0.360567i | ||||
\(346\) | 1.21870 | + | 0.703618i | 0.0655179 | + | 0.0378268i | ||||
\(347\) | −5.59796 | − | 9.69594i | −0.300514 | − | 0.520506i | 0.675738 | − | 0.737141i | \(-0.263825\pi\) |
−0.976252 | + | 0.216636i | \(0.930492\pi\) | |||||||
\(348\) | −28.8267 | − | 12.8345i | −1.54527 | − | 0.688000i | ||||
\(349\) | 3.15864 | − | 4.34749i | 0.169078 | − | 0.232716i | −0.716067 | − | 0.698032i | \(-0.754059\pi\) |
0.885145 | + | 0.465316i | \(0.154059\pi\) | |||||||
\(350\) | 0.477305 | − | 0.212510i | 0.0255130 | − | 0.0113591i | ||||
\(351\) | 15.7113 | − | 1.01491i | 0.838609 | − | 0.0541721i | ||||
\(352\) | −0.174314 | − | 1.65849i | −0.00929098 | − | 0.0883978i | ||||
\(353\) | 21.0277 | + | 18.9334i | 1.11919 | + | 1.00772i | 0.999890 | + | 0.0148647i | \(0.00473174\pi\) |
0.119300 | + | 0.992858i | \(0.461935\pi\) | |||||||
\(354\) | −0.288636 | − | 0.320562i | −0.0153408 | − | 0.0170377i | ||||
\(355\) | −0.361029 | + | 3.43496i | −0.0191614 | + | 0.182309i | ||||
\(356\) | −16.4795 | − | 5.35452i | −0.873413 | − | 0.283789i | ||||
\(357\) | 45.9728 | + | 14.9375i | 2.43314 | + | 0.790574i | ||||
\(358\) | 0.725928 | + | 0.0762981i | 0.0383665 | + | 0.00403248i | ||||
\(359\) | 2.19027 | − | 1.97213i | 0.115598 | − | 0.104085i | −0.609305 | − | 0.792936i | \(-0.708551\pi\) |
0.724903 | + | 0.688851i | \(0.241885\pi\) | |||||||
\(360\) | −0.313850 | + | 0.348566i | −0.0165414 | + | 0.0183710i | ||||
\(361\) | −0.195660 | − | 1.86158i | −0.0102979 | − | 0.0979779i | ||||
\(362\) | 0.206617 | − | 0.972054i | 0.0108595 | − | 0.0510900i | ||||
\(363\) | −10.2139 | + | 4.54752i | −0.536090 | + | 0.238683i | ||||
\(364\) | 12.4922 | − | 33.7636i | 0.654770 | − | 1.76970i | ||||
\(365\) | −0.422137 | − | 0.187947i | −0.0220956 | − | 0.00983761i | ||||
\(366\) | −0.810305 | + | 0.467830i | −0.0423553 | + | 0.0244539i | ||||
\(367\) | 7.37228 | − | 12.7692i | 0.384830 | − | 0.666545i | −0.606916 | − | 0.794766i | \(-0.707593\pi\) |
0.991746 | + | 0.128221i | \(0.0409267\pi\) | |||||||
\(368\) | 5.31438 | − | 3.86112i | 0.277031 | − | 0.201275i | ||||
\(369\) | −0.221953 | − | 1.04421i | −0.0115544 | − | 0.0543593i | ||||
\(370\) | −0.617101 | + | 0.200508i | −0.0320816 | + | 0.0104239i | ||||
\(371\) | 41.9620i | 2.17856i | ||||||||
\(372\) | 20.3575 | + | 6.92636i | 1.05549 | + | 0.359115i | ||||
\(373\) | 23.0545 | 1.19372 | 0.596859 | − | 0.802346i | \(-0.296415\pi\) | ||||
0.596859 | + | 0.802346i | \(0.296415\pi\) | |||||||
\(374\) | 0.215054 | + | 0.661868i | 0.0111202 | + | 0.0342244i | ||||
\(375\) | −3.42543 | − | 16.1154i | −0.176889 | − | 0.832195i | ||||
\(376\) | 2.23445 | − | 1.62342i | 0.115233 | − | 0.0837216i | ||||
\(377\) | 7.27812 | − | 28.5449i | 0.374842 | − | 1.47014i | ||||
\(378\) | 0.665807 | + | 1.15321i | 0.0342454 | + | 0.0593148i | ||||
\(379\) | −8.77049 | + | 19.6988i | −0.450510 | + | 1.01186i | 0.535402 | + | 0.844597i | \(0.320160\pi\) |
−0.985912 | + | 0.167264i | \(0.946507\pi\) | |||||||
\(380\) | −17.3182 | − | 12.5824i | −0.888405 | − | 0.645464i | ||||
\(381\) | 11.4114 | − | 5.08069i | 0.584625 | − | 0.260292i | ||||
\(382\) | −0.189494 | + | 0.891498i | −0.00969534 | + | 0.0456130i | ||||
\(383\) | 18.0212 | − | 1.89410i | 0.920840 | − | 0.0967842i | 0.367768 | − | 0.929918i | \(-0.380122\pi\) |
0.553072 | + | 0.833133i | \(0.313455\pi\) | |||||||
\(384\) | 2.79208 | + | 2.51400i | 0.142483 | + | 0.128292i | ||||
\(385\) | 22.0056 | − | 19.8139i | 1.12151 | − | 1.00981i | ||||
\(386\) | 0.0954841 | − | 0.908471i | 0.00486001 | − | 0.0462399i | ||||
\(387\) | 1.82067 | − | 5.60346i | 0.0925501 | − | 0.284840i | ||||
\(388\) | 7.75407 | + | 2.51945i | 0.393653 | + | 0.127906i | ||||
\(389\) | 0.0448869 | − | 0.427071i | 0.00227586 | − | 0.0216533i | −0.993325 | − | 0.115349i | \(-0.963201\pi\) |
0.995601 | + | 0.0936956i | \(0.0298680\pi\) | |||||||
\(390\) | −0.931402 | − | 0.588898i | −0.0471634 | − | 0.0298200i | ||||
\(391\) | −5.52005 | + | 6.13064i | −0.279161 | + | 0.310040i | ||||
\(392\) | 4.36580 | − | 0.458865i | 0.220506 | − | 0.0231762i | ||||
\(393\) | −2.42588 | − | 0.515637i | −0.122370 | − | 0.0260104i | ||||
\(394\) | 1.36217 | − | 0.606477i | 0.0686252 | − | 0.0305539i | ||||
\(395\) | −8.71183 | + | 11.9908i | −0.438340 | + | 0.603323i | ||||
\(396\) | −1.37842 | + | 3.09598i | −0.0692683 | + | 0.155579i | ||||
\(397\) | 16.6146 | − | 9.59243i | 0.833862 | − | 0.481430i | −0.0213114 | − | 0.999773i | \(-0.506784\pi\) |
0.855173 | + | 0.518343i | \(0.173451\pi\) | |||||||
\(398\) | −0.787017 | − | 0.454385i | −0.0394496 | − | 0.0227762i | ||||
\(399\) | 32.3994 | − | 23.5395i | 1.62200 | − | 1.17845i | ||||
\(400\) | 6.66607 | − | 1.41692i | 0.333304 | − | 0.0708459i | ||||
\(401\) | 9.42583 | − | 3.06264i | 0.470704 | − | 0.152941i | −0.0640539 | − | 0.997946i | \(-0.520403\pi\) |
0.534757 | + | 0.845006i | \(0.320403\pi\) | |||||||
\(402\) | 1.31076 | 0.0653747 | ||||||||
\(403\) | −3.17296 | + | 19.8225i | −0.158056 | + | 0.987430i | ||||
\(404\) | 4.82095 | 0.239851 | ||||||||
\(405\) | −26.3099 | + | 8.54861i | −1.30735 | + | 0.424784i | ||||
\(406\) | 2.43709 | − | 0.518020i | 0.120951 | − | 0.0257089i | ||||
\(407\) | −7.59275 | + | 5.51645i | −0.376358 | + | 0.273440i | ||||
\(408\) | −2.03931 | − | 1.17740i | −0.100961 | − | 0.0582898i | ||||
\(409\) | −29.1873 | + | 16.8513i | −1.44322 | + | 0.833242i | −0.998063 | − | 0.0622123i | \(-0.980184\pi\) |
−0.445154 | + | 0.895454i | \(0.646851\pi\) | |||||||
\(410\) | 0.0923234 | − | 0.207362i | 0.00455953 | − | 0.0102409i | ||||
\(411\) | 19.5316 | − | 26.8829i | 0.963422 | − | 1.32604i | ||||
\(412\) | 12.8103 | − | 5.70350i | 0.631117 | − | 0.280991i | ||||
\(413\) | −17.8909 | − | 3.80284i | −0.880356 | − | 0.187125i | ||||
\(414\) | 0.0743984 | − | 0.00781958i | 0.00365648 | − | 0.000384312i | ||||
\(415\) | −1.00577 | + | 1.11702i | −0.0493711 | + | 0.0548322i | ||||
\(416\) | −1.40627 | + | 2.22416i | −0.0689480 | + | 0.109048i | ||||
\(417\) | −2.61945 | + | 24.9224i | −0.128275 | + | 1.22046i | ||||
\(418\) | 0.548347 | + | 0.178169i | 0.0268206 | + | 0.00871453i | ||||
\(419\) | 0.950716 | − | 2.92600i | 0.0464455 | − | 0.142945i | −0.925144 | − | 0.379615i | \(-0.876056\pi\) |
0.971590 | + | 0.236671i | \(0.0760563\pi\) | |||||||
\(420\) | −5.23176 | + | 49.7769i | −0.255284 | + | 2.42886i | ||||
\(421\) | 9.53965 | − | 8.58954i | 0.464934 | − | 0.418629i | −0.403082 | − | 0.915164i | \(-0.632061\pi\) |
0.868017 | + | 0.496535i | \(0.165395\pi\) | |||||||
\(422\) | 0.321553 | + | 0.289527i | 0.0156529 | + | 0.0140940i | ||||
\(423\) | −8.37575 | + | 0.880327i | −0.407243 | + | 0.0428029i | ||||
\(424\) | 0.425004 | − | 1.99949i | 0.0206400 | − | 0.0971037i | ||||
\(425\) | −7.81868 | + | 3.48110i | −0.379262 | + | 0.168858i | ||||
\(426\) | 0.127210 | + | 0.0924238i | 0.00616336 | + | 0.00447795i | ||||
\(427\) | −16.1369 | + | 36.2442i | −0.780921 | + | 1.75398i | ||||
\(428\) | 14.0665 | + | 24.3639i | 0.679931 | + | 1.17767i | ||||
\(429\) | −15.4447 | − | 3.93794i | −0.745677 | − | 0.190126i | ||||
\(430\) | 1.01350 | − | 0.736350i | 0.0488752 | − | 0.0355099i | ||||
\(431\) | −2.79366 | − | 13.1431i | −0.134566 | − | 0.633083i | −0.992796 | − | 0.119818i | \(-0.961769\pi\) |
0.858230 | − | 0.513265i | \(-0.171564\pi\) | |||||||
\(432\) | 5.36737 | + | 16.5191i | 0.258238 | + | 0.794773i | ||||
\(433\) | 24.4937 | 1.17709 | 0.588547 | − | 0.808463i | \(-0.299700\pi\) | ||||
0.588547 | + | 0.808463i | \(0.299700\pi\) | |||||||
\(434\) | −1.62189 | + | 0.502364i | −0.0778530 | + | 0.0241142i | ||||
\(435\) | 40.9553i | 1.96366i | ||||||||
\(436\) | 25.5507 | − | 8.30193i | 1.22366 | − | 0.397590i | ||||
\(437\) | 1.42101 | + | 6.68531i | 0.0679759 | + | 0.319802i | ||||
\(438\) | −0.0170192 | + | 0.0123651i | −0.000813207 | + | 0.000590829i | ||||
\(439\) | −5.56440 | + | 9.63782i | −0.265574 | + | 0.459988i | −0.967714 | − | 0.252051i | \(-0.918895\pi\) |
0.702140 | + | 0.712039i | \(0.252228\pi\) | |||||||
\(440\) | −1.24925 | + | 0.721254i | −0.0595556 | + | 0.0343844i | ||||
\(441\) | −12.2286 | − | 5.44452i | −0.582314 | − | 0.259263i | ||||
\(442\) | 0.381057 | − | 1.02991i | 0.0181250 | − | 0.0489879i | ||||
\(443\) | −29.4490 | + | 13.1115i | −1.39916 | + | 0.622947i | −0.961151 | − | 0.276022i | \(-0.910984\pi\) |
−0.438011 | + | 0.898970i | \(0.644317\pi\) | |||||||
\(444\) | 3.29817 | − | 15.5167i | 0.156524 | − | 0.736389i | ||||
\(445\) | 2.35082 | + | 22.3665i | 0.111439 | + | 1.06027i | ||||
\(446\) | 0.218566 | − | 0.242742i | 0.0103494 | − | 0.0114942i | ||||
\(447\) | −5.46982 | + | 4.92505i | −0.258713 | + | 0.232947i | ||||
\(448\) | 39.3511 | + | 4.13597i | 1.85916 | + | 0.195406i | ||||
\(449\) | −39.6559 | − | 12.8850i | −1.87148 | − | 0.608080i | −0.990976 | − | 0.134038i | \(-0.957206\pi\) |
−0.880502 | − | 0.474042i | \(-0.842794\pi\) | |||||||
\(450\) | 0.0738119 | + | 0.0239829i | 0.00347953 | + | 0.00113057i | ||||
\(451\) | 0.343182 | − | 3.26516i | 0.0161598 | − | 0.153750i | ||||
\(452\) | −6.53943 | − | 7.26277i | −0.307589 | − | 0.341612i | ||||
\(453\) | −0.926063 | − | 0.833831i | −0.0435103 | − | 0.0391768i | ||||
\(454\) | 0.144486 | + | 1.37469i | 0.00678105 | + | 0.0645174i | ||||
\(455\) | −46.6284 | + | 3.01208i | −2.18597 | + | 0.141209i | ||||
\(456\) | −1.78224 | + | 0.793506i | −0.0834612 | + | 0.0371593i | ||||
\(457\) | 5.29655 | − | 7.29008i | 0.247762 | − | 0.341015i | −0.666964 | − | 0.745090i | \(-0.732406\pi\) |
0.914726 | + | 0.404075i | \(0.132406\pi\) | |||||||
\(458\) | 1.51833 | + | 0.676004i | 0.0709469 | + | 0.0315876i | ||||
\(459\) | −10.9065 | − | 18.8907i | −0.509073 | − | 0.881741i | ||||
\(460\) | −7.39745 | − | 4.27092i | −0.344908 | − | 0.199133i | ||||
\(461\) | −21.7779 | − | 29.9748i | −1.01430 | − | 1.39606i | −0.916124 | − | 0.400895i | \(-0.868699\pi\) |
−0.0981761 | − | 0.995169i | \(-0.531301\pi\) | |||||||
\(462\) | −0.280283 | − | 1.31863i | −0.0130399 | − | 0.0613481i | ||||
\(463\) | 12.4628 | − | 4.04940i | 0.579194 | − | 0.188192i | −0.00474550 | − | 0.999989i | \(-0.501511\pi\) |
0.583939 | + | 0.811797i | \(0.301511\pi\) | |||||||
\(464\) | 32.4988 | 1.50872 | ||||||||
\(465\) | −2.53432 | − | 27.7945i | −0.117526 | − | 1.28894i | ||||
\(466\) | 1.02617i | 0.0475363i | ||||||||
\(467\) | −7.49866 | − | 23.0785i | −0.346997 | − | 1.06795i | −0.960506 | − | 0.278259i | \(-0.910243\pi\) |
0.613509 | − | 0.789687i | \(-0.289757\pi\) | |||||||
\(468\) | 4.73495 | − | 2.48549i | 0.218873 | − | 0.114892i | ||||
\(469\) | 44.9645 | − | 32.6687i | 2.07627 | − | 1.50850i | ||||
\(470\) | −1.55080 | − | 0.895354i | −0.0715330 | − | 0.0412996i | ||||
\(471\) | 3.75857 | + | 6.51003i | 0.173186 | + | 0.299966i | ||||
\(472\) | 0.813987 | + | 0.362410i | 0.0374668 | + | 0.0166813i | ||||
\(473\) | 10.6506 | − | 14.6593i | 0.489717 | − | 0.674037i | ||||
\(474\) | 0.274449 | + | 0.616423i | 0.0126059 | + | 0.0283132i | ||||
\(475\) | −1.47424 | + | 6.93573i | −0.0676426 | + | 0.318233i | ||||
\(476\) | −49.6047 | + | 5.21366i | −2.27363 | + | 0.238968i | ||||
\(477\) | −4.17082 | + | 4.63216i | −0.190969 | + | 0.212092i | ||||
\(478\) | −0.590620 | − | 0.655950i | −0.0270143 | − | 0.0300024i | ||||
\(479\) | −17.2034 | − | 1.80815i | −0.786042 | − | 0.0826164i | −0.297001 | − | 0.954877i | \(-0.595987\pi\) |
−0.489041 | + | 0.872261i | \(0.662653\pi\) | |||||||
\(480\) | 1.13052 | − | 3.47940i | 0.0516011 | − | 0.158812i | ||||
\(481\) | 14.7974 | + | 0.595351i | 0.674703 | + | 0.0271457i | ||||
\(482\) | 0.0380128 | − | 0.361667i | 0.00173143 | − | 0.0164735i | ||||
\(483\) | 11.8757 | − | 10.6929i | 0.540362 | − | 0.486544i | ||||
\(484\) | 7.71944 | − | 8.57331i | 0.350884 | − | 0.389696i | ||||
\(485\) | −1.10612 | − | 10.5241i | −0.0502265 | − | 0.477873i | ||||
\(486\) | −0.0957889 | + | 0.450651i | −0.00434507 | + | 0.0204420i | ||||
\(487\) | 10.6218 | + | 23.8569i | 0.481319 | + | 1.08106i | 0.977133 | + | 0.212631i | \(0.0682033\pi\) |
−0.495814 | + | 0.868429i | \(0.665130\pi\) | |||||||
\(488\) | 1.13602 | − | 1.56359i | 0.0514251 | − | 0.0707805i | ||||
\(489\) | 4.95658 | − | 11.1327i | 0.224144 | − | 0.503436i | ||||
\(490\) | −1.42309 | − | 2.46486i | −0.0642885 | − | 0.111351i | ||||
\(491\) | 0.512804 | − | 0.888203i | 0.0231425 | − | 0.0400840i | −0.854222 | − | 0.519908i | \(-0.825966\pi\) |
0.877365 | + | 0.479824i | \(0.159300\pi\) | |||||||
\(492\) | 3.26183 | + | 4.48953i | 0.147055 | + | 0.202404i | ||||
\(493\) | −39.9217 | + | 8.48563i | −1.79799 | + | 0.382174i | ||||
\(494\) | −0.504743 | − | 0.756944i | −0.0227095 | − | 0.0340565i | ||||
\(495\) | 4.39860 | 0.197702 | ||||||||
\(496\) | −22.0555 | + | 2.01103i | −0.990319 | + | 0.0902980i | ||||
\(497\) | 6.66737 | 0.299073 | ||||||||
\(498\) | 0.0211459 | + | 0.0650804i | 0.000947570 | + | 0.00291632i | ||||
\(499\) | −0.882045 | − | 4.14970i | −0.0394858 | − | 0.185766i | 0.953985 | − | 0.299855i | \(-0.0969384\pi\) |
−0.993471 | + | 0.114089i | \(0.963605\pi\) | |||||||
\(500\) | 9.99238 | + | 13.7533i | 0.446873 | + | 0.615068i | ||||
\(501\) | −28.8910 | − | 16.6802i | −1.29076 | − | 0.745218i | ||||
\(502\) | 0.954374 | − | 0.551008i | 0.0425958 | − | 0.0245927i | ||||
\(503\) | −37.3812 | − | 16.6432i | −1.66675 | − | 0.742084i | −0.666752 | − | 0.745279i | \(-0.732316\pi\) |
−0.999995 | + | 0.00319561i | \(0.998983\pi\) | |||||||
\(504\) | 0.732515 | + | 0.532203i | 0.0326288 | + | 0.0237062i | ||||
\(505\) | −2.54502 | − | 5.71622i | −0.113252 | − | 0.254368i | ||||
\(506\) | 0.225040 | + | 0.0478338i | 0.0100043 | + | 0.00212647i | ||||
\(507\) | 15.2732 | + | 19.9823i | 0.678307 | + | 0.887443i | ||||
\(508\) | −8.62451 | + | 9.57849i | −0.382651 | + | 0.424977i | ||||
\(509\) | −14.2250 | + | 12.8083i | −0.630513 | + | 0.567717i | −0.921194 | − | 0.389103i | \(-0.872785\pi\) |
0.290681 | + | 0.956820i | \(0.406118\pi\) | |||||||
\(510\) | −0.159587 | + | 1.51837i | −0.00706665 | + | 0.0672347i | ||||
\(511\) | −0.275647 | + | 0.848353i | −0.0121939 | + | 0.0375289i | ||||
\(512\) | −4.60447 | − | 1.49608i | −0.203491 | − | 0.0661181i | ||||
\(513\) | −17.9728 | − | 1.88902i | −0.793518 | − | 0.0834021i | ||||
\(514\) | 0.856812 | − | 0.771477i | 0.0377924 | − | 0.0340284i | ||||
\(515\) | −13.5253 | − | 12.1783i | −0.595997 | − | 0.536638i | ||||
\(516\) | 3.20143 | + | 30.4596i | 0.140935 | + | 1.34091i | ||||
\(517\) | −25.3350 | − | 5.38511i | −1.11423 | − | 0.236837i | ||||
\(518\) | 0.509461 | + | 1.14427i | 0.0223844 | + | 0.0502762i | ||||
\(519\) | 36.1256 | + | 26.2468i | 1.58574 | + | 1.15211i | ||||
\(520\) | 2.25235 | + | 0.328742i | 0.0987721 | + | 0.0144163i | ||||
\(521\) | 5.41516 | + | 9.37934i | 0.237243 | + | 0.410916i | 0.959922 | − | 0.280267i | \(-0.0904230\pi\) |
−0.722679 | + | 0.691183i | \(0.757090\pi\) | |||||||
\(522\) | 0.320518 | + | 0.185051i | 0.0140287 | + | 0.00809947i | ||||
\(523\) | 16.3663 | − | 11.8908i | 0.715649 | − | 0.519950i | −0.169342 | − | 0.985557i | \(-0.554164\pi\) |
0.884991 | + | 0.465608i | \(0.154164\pi\) | |||||||
\(524\) | 2.50313 | − | 0.532057i | 0.109350 | − | 0.0232430i | ||||
\(525\) | 15.7675 | − | 5.12317i | 0.688149 | − | 0.223593i | ||||
\(526\) | − | 0.602274i | − | 0.0262604i | ||||||
\(527\) | 26.5680 | − | 8.22917i | 1.15732 | − | 0.358468i | ||||
\(528\) | − | 17.5840i | − | 0.765246i | ||||||
\(529\) | −6.26463 | − | 19.2805i | −0.272375 | − | 0.838284i | ||||
\(530\) | −1.29637 | + | 0.275553i | −0.0563109 | + | 0.0119693i | ||||
\(531\) | −1.59699 | − | 2.19807i | −0.0693034 | − | 0.0953880i | ||||
\(532\) | −20.6615 | + | 35.7868i | −0.895792 | + | 1.55156i | ||||
\(533\) | −3.61851 | + | 3.70751i | −0.156735 | + | 0.160590i | ||||
\(534\) | 0.935345 | + | 0.416443i | 0.0404763 | + | 0.0180212i | ||||
\(535\) | 21.4625 | − | 29.5407i | 0.927907 | − | 1.27715i | ||||
\(536\) | −2.47344 | + | 1.10125i | −0.106836 | + | 0.0475666i | ||||
\(537\) | 22.6555 | + | 4.81558i | 0.977659 | + | 0.207808i | ||||
\(538\) | 0.624555 | − | 0.0656433i | 0.0269265 | − | 0.00283008i | ||||
\(539\) | −30.5933 | − | 27.5463i | −1.31775 | − | 1.18650i | ||||
\(540\) | 16.7845 | − | 15.1129i | 0.722291 | − | 0.650354i | ||||
\(541\) | −9.23844 | − | 0.970999i | −0.397192 | − | 0.0417465i | −0.0961726 | − | 0.995365i | \(-0.530660\pi\) |
−0.301019 | + | 0.953618i | \(0.597327\pi\) | |||||||
\(542\) | −0.0226715 | + | 0.0697756i | −0.000973823 | + | 0.00299712i | ||||
\(543\) | 9.74449 | − | 29.9905i | 0.418176 | − | 1.28701i | ||||
\(544\) | 3.62582 | + | 0.381089i | 0.155456 | + | 0.0163391i | ||||
\(545\) | −23.3321 | − | 25.9129i | −0.999436 | − | 1.10999i | ||||
\(546\) | −0.942642 | + | 1.90696i | −0.0403414 | + | 0.0816103i | ||||
\(547\) | 1.10967 | + | 10.5578i | 0.0474459 | + | 0.451418i | 0.992294 | + | 0.123908i | \(0.0395427\pi\) |
−0.944848 | + | 0.327510i | \(0.893791\pi\) | |||||||
\(548\) | −7.12872 | + | 33.5380i | −0.304524 | + | 1.43267i | ||||
\(549\) | −5.38385 | + | 2.39704i | −0.229777 | + | 0.102303i | ||||
\(550\) | 0.193101 | + | 0.140296i | 0.00823385 | + | 0.00598224i | ||||
\(551\) | −13.7532 | + | 30.8901i | −0.585905 | + | 1.31596i | ||||
\(552\) | −0.674177 | + | 0.389236i | −0.0286949 | + | 0.0165670i | ||||
\(553\) | 24.7781 | + | 14.3057i | 1.05367 | + | 0.608339i | ||||
\(554\) | 0.281244 | + | 0.387099i | 0.0119489 | + | 0.0164463i | ||||
\(555\) | −20.1393 | + | 4.28075i | −0.854867 | + | 0.181708i | ||||
\(556\) | −7.99048 | − | 24.5922i | −0.338872 | − | 1.04294i | ||||
\(557\) | 14.2143i | 0.602278i | 0.953580 | + | 0.301139i | \(0.0973668\pi\) | ||||
−0.953580 | + | 0.301139i | \(0.902633\pi\) | |||||||
\(558\) | −0.228972 | − | 0.105752i | −0.00969315 | − | 0.00447684i | ||||
\(559\) | −27.5263 | + | 7.73523i | −1.16424 | + | 0.327165i | ||||
\(560\) | −15.9294 | − | 49.0256i | −0.673139 | − | 2.07171i | ||||
\(561\) | 4.59129 | + | 21.6003i | 0.193844 | + | 0.911966i | ||||
\(562\) | −0.418315 | + | 0.303924i | −0.0176456 | + | 0.0128202i | ||||
\(563\) | 18.3954 | − | 31.8618i | 0.775276 | − | 1.34282i | −0.159364 | − | 0.987220i | \(-0.550944\pi\) |
0.934639 | − | 0.355597i | \(-0.115722\pi\) | |||||||
\(564\) | 37.9140 | − | 21.8897i | 1.59647 | − | 0.921722i | ||||
\(565\) | −5.15927 | + | 11.5879i | −0.217052 | + | 0.487507i | ||||
\(566\) | −0.0321671 | + | 0.0442742i | −0.00135208 | + | 0.00186098i | ||||
\(567\) | 21.7207 | + | 48.7855i | 0.912184 | + | 2.04880i | ||||
\(568\) | −0.317700 | − | 0.0675293i | −0.0133304 | − | 0.00283346i | ||||
\(569\) | 3.22797 | + | 30.7120i | 0.135323 | + | 1.28752i | 0.825718 | + | 0.564083i | \(0.190770\pi\) |
−0.690395 | + | 0.723433i | \(0.742563\pi\) | |||||||
\(570\) | 0.939988 | + | 0.846369i | 0.0393718 | + | 0.0354505i | ||||
\(571\) | 23.3139 | + | 25.8927i | 0.975654 | + | 1.08357i | 0.996483 | + | 0.0837910i | \(0.0267028\pi\) |
−0.0208289 | + | 0.999783i | \(0.506631\pi\) | |||||||
\(572\) | 16.2114 | − | 2.76992i | 0.677835 | − | 0.115816i | ||||
\(573\) | −8.93694 | + | 27.5051i | −0.373346 | + | 1.14904i | ||||
\(574\) | −0.416728 | − | 0.135403i | −0.0173939 | − | 0.00565161i | ||||
\(575\) | −0.295753 | + | 2.81390i | −0.0123337 | + | 0.117348i | ||||
\(576\) | 3.93285 | + | 4.36788i | 0.163869 | + | 0.181995i | ||||
\(577\) | −23.7322 | − | 21.3686i | −0.987984 | − | 0.889584i | 0.00590388 | − | 0.999983i | \(-0.498121\pi\) |
−0.993887 | + | 0.110398i | \(0.964787\pi\) | |||||||
\(578\) | −0.482305 | + | 0.0506923i | −0.0200612 | + | 0.00210852i | ||||
\(579\) | 6.02651 | − | 28.3525i | 0.250453 | − | 1.17829i | ||||
\(580\) | −17.1885 | − | 38.6060i | −0.713713 | − | 1.60303i | ||||
\(581\) | 2.34742 | + | 1.70550i | 0.0973875 | + | 0.0707561i | ||||
\(582\) | −0.440106 | − | 0.195948i | −0.0182430 | − | 0.00812230i | ||||
\(583\) | −16.6015 | + | 9.58489i | −0.687565 | + | 0.396966i | ||||
\(584\) | 0.0217269 | − | 0.0376322i | 0.000899067 | − | 0.00155723i | ||||
\(585\) | −5.44668 | − | 4.30214i | −0.225192 | − | 0.177872i | ||||
\(586\) | −1.01194 | + | 0.215094i | −0.0418028 | + | 0.00888546i | ||||
\(587\) | 15.9739 | − | 5.19022i | 0.659312 | − | 0.214223i | 0.0397961 | − | 0.999208i | \(-0.487329\pi\) |
0.619515 | + | 0.784985i | \(0.287329\pi\) | |||||||
\(588\) | 69.5835 | 2.86958 | ||||||||
\(589\) | 7.42217 | − | 21.8148i | 0.305825 | − | 0.898862i | ||||
\(590\) | − | 0.577695i | − | 0.0237833i | ||||||
\(591\) | 44.9985 | − | 14.6209i | 1.85099 | − | 0.601424i | ||||
\(592\) | 3.39685 | + | 15.9809i | 0.139610 | + | 0.656812i | ||||
\(593\) | 18.3814 | + | 25.2998i | 0.754834 | + | 1.03894i | 0.997626 | + | 0.0688615i | \(0.0219367\pi\) |
−0.242792 | + | 0.970078i | \(0.578063\pi\) | |||||||
\(594\) | −0.304165 | + | 0.526830i | −0.0124801 | + | 0.0216161i | ||||
\(595\) | 32.3686 | + | 56.0641i | 1.32698 | + | 2.29840i | ||||
\(596\) | 3.08906 | − | 6.93815i | 0.126533 | − | 0.284198i | ||||
\(597\) | −23.3293 | − | 16.9497i | −0.954805 | − | 0.693707i | ||||
\(598\) | −0.231877 | − | 0.279337i | −0.00948215 | − | 0.0114229i | ||||
\(599\) | 22.1429 | + | 4.70662i | 0.904734 | + | 0.192307i | 0.636709 | − | 0.771105i | \(-0.280295\pi\) |
0.268026 | + | 0.963412i | \(0.413629\pi\) | |||||||
\(600\) | −0.803209 | + | 0.0844207i | −0.0327909 | + | 0.00344646i | ||||
\(601\) | −2.31887 | + | 2.57536i | −0.0945886 | + | 0.105051i | −0.788581 | − | 0.614932i | \(-0.789184\pi\) |
0.693992 | + | 0.719983i | \(0.255850\pi\) | |||||||
\(602\) | −1.61817 | − | 1.79716i | −0.0659516 | − | 0.0732467i | ||||
\(603\) | 8.21072 | + | 0.862982i | 0.334366 | + | 0.0351433i | ||||
\(604\) | 1.22289 | + | 0.397341i | 0.0497587 | + | 0.0161676i | ||||
\(605\) | −14.2406 | − | 4.62704i | −0.578961 | − | 0.188116i | ||||
\(606\) | −0.283302 | − | 0.0297763i | −0.0115084 | − | 0.00120958i | ||||
\(607\) | 20.0198 | + | 22.2342i | 0.812577 | + | 0.902458i | 0.996760 | − | 0.0804342i | \(-0.0256307\pi\) |
−0.184183 | + | 0.982892i | \(0.558964\pi\) | |||||||
\(608\) | 2.02110 | − | 2.24466i | 0.0819664 | − | 0.0910330i | ||||
\(609\) | 78.6271 | − | 8.26404i | 3.18613 | − | 0.334876i | ||||
\(610\) | −1.22569 | − | 0.260529i | −0.0496269 | − | 0.0105485i | ||||
\(611\) | 26.1046 | + | 31.4476i | 1.05608 | + | 1.27223i | ||||
\(612\) | −5.99405 | − | 4.35493i | −0.242295 | − | 0.176038i | ||||
\(613\) | 0.613029 | − | 1.37689i | 0.0247600 | − | 0.0556119i | −0.900742 | − | 0.434354i | \(-0.856977\pi\) |
0.925502 | + | 0.378742i | \(0.123643\pi\) | |||||||
\(614\) | 1.06124 | + | 1.83812i | 0.0428281 | + | 0.0741804i | ||||
\(615\) | 3.60130 | − | 6.23763i | 0.145218 | − | 0.251526i | ||||
\(616\) | 1.63676 | + | 2.25280i | 0.0659468 | + | 0.0907680i | ||||
\(617\) | −3.74709 | − | 17.6287i | −0.150852 | − | 0.709704i | −0.986937 | − | 0.161104i | \(-0.948494\pi\) |
0.836085 | − | 0.548600i | \(-0.184839\pi\) | |||||||
\(618\) | −0.788022 | + | 0.256044i | −0.0316989 | + | 0.0102996i | ||||
\(619\) | − | 7.71091i | − | 0.309928i | −0.987920 | − | 0.154964i | \(-0.950474\pi\) | ||
0.987920 | − | 0.154964i | \(-0.0495261\pi\) | |||||||
\(620\) | 14.0540 | + | 25.1365i | 0.564422 | + | 1.00951i | ||||
\(621\) | −7.21120 | −0.289375 | ||||||||
\(622\) | −0.376823 | + | 0.122437i | −0.0151092 | + | 0.00490928i | ||||
\(623\) | 42.4655 | − | 9.02632i | 1.70134 | − | 0.361632i | ||||
\(624\) | −17.1984 | + | 21.7738i | −0.688487 | + | 0.871651i | ||||
\(625\) | 15.3155 | − | 26.5273i | 0.612622 | − | 1.06109i | ||||
\(626\) | −0.176190 | + | 0.101723i | −0.00704197 | + | 0.00406568i | ||||
\(627\) | 16.7136 | + | 7.44138i | 0.667477 | + | 0.297180i | ||||
\(628\) | −6.27514 | − | 4.55916i | −0.250406 | − | 0.181930i | ||||
\(629\) | −8.34543 | − | 18.7441i | −0.332754 | − | 0.747378i | ||||
\(630\) | 0.122053 | − | 0.574216i | 0.00486272 | − | 0.0228773i | ||||
\(631\) | −24.7671 | + | 2.60313i | −0.985962 | + | 0.103629i | −0.583764 | − | 0.811924i | \(-0.698420\pi\) |
−0.402198 | + | 0.915553i | \(0.631754\pi\) | |||||||
\(632\) | −1.03579 | − | 0.932626i | −0.0412013 | − | 0.0370979i | ||||
\(633\) | 9.18714 | + | 10.2033i | 0.365156 | + | 0.405547i | ||||
\(634\) | 0.174454 | − | 1.65982i | 0.00692847 | − | 0.0659199i | ||||
\(635\) | 15.9102 | + | 5.16954i | 0.631377 | + | 0.205147i | ||||
\(636\) | 10.0127 | − | 30.8161i | 0.397031 | − | 1.22194i | ||||
\(637\) | 10.9407 | + | 64.0323i | 0.433486 | + | 2.53705i | ||||
\(638\) | 0.761622 | + | 0.845867i | 0.0301529 | + | 0.0334882i | ||||
\(639\) | 0.736008 | + | 0.662705i | 0.0291160 | + | 0.0262162i | ||||
\(640\) | 0.525956 | + | 5.00414i | 0.0207902 | + | 0.197806i | ||||
\(641\) | −13.3425 | − | 2.83603i | −0.526996 | − | 0.112017i | −0.0632724 | − | 0.997996i | \(-0.520154\pi\) |
−0.463724 | + | 0.885980i | \(0.653487\pi\) | |||||||
\(642\) | −0.676135 | − | 1.51862i | −0.0266849 | − | 0.0599353i | ||||
\(643\) | 20.8908 | − | 28.7537i | 0.823852 | − | 1.13393i | −0.165185 | − | 0.986263i | \(-0.552822\pi\) |
0.989036 | − | 0.147672i | \(-0.0471779\pi\) | |||||||
\(644\) | −6.70675 | + | 15.0636i | −0.264283 | + | 0.593590i | ||||
\(645\) | 34.4260 | − | 19.8759i | 1.35552 | − | 0.782611i | ||||
\(646\) | −0.630251 | + | 1.09163i | −0.0247969 | + | 0.0429495i | ||||
\(647\) | −6.42415 | + | 4.66742i | −0.252559 | + | 0.183495i | −0.706860 | − | 0.707353i | \(-0.749889\pi\) |
0.454301 | + | 0.890848i | \(0.349889\pi\) | |||||||
\(648\) | −0.540876 | − | 2.54462i | −0.0212476 | − | 0.0999622i | ||||
\(649\) | −2.58210 | − | 7.94687i | −0.101356 | − | 0.311942i | ||||
\(650\) | −0.101893 | − | 0.362591i | −0.00399656 | − | 0.0142220i | ||||
\(651\) | −52.8492 | + | 10.4739i | −2.07132 | + | 0.410504i | ||||
\(652\) | 12.5743i | 0.492446i | ||||||||
\(653\) | 0.930755 | + | 2.86457i | 0.0364233 | + | 0.112099i | 0.967615 | − | 0.252430i | \(-0.0812298\pi\) |
−0.931192 | + | 0.364530i | \(0.881230\pi\) | |||||||
\(654\) | −1.55276 | + | 0.330049i | −0.0607177 | + | 0.0129060i | ||||
\(655\) | −1.95229 | − | 2.68709i | −0.0762822 | − | 0.104993i | ||||
\(656\) | −4.94968 | − | 2.85770i | −0.193252 | − | 0.111574i | ||||
\(657\) | −0.114751 | + | 0.0662514i | −0.00447685 | + | 0.00258471i | ||||
\(658\) | −1.40600 | + | 3.15793i | −0.0548116 | + | 0.123109i | ||||
\(659\) | −11.5186 | − | 8.36878i | −0.448703 | − | 0.326002i | 0.340381 | − | 0.940288i | \(-0.389444\pi\) |
−0.789083 | + | 0.614286i | \(0.789444\pi\) | |||||||
\(660\) | −20.8884 | + | 9.30011i | −0.813079 | + | 0.362006i | ||||
\(661\) | 10.4501 | − | 49.1637i | 0.406460 | − | 1.91225i | −0.00317270 | − | 0.999995i | \(-0.501010\pi\) |
0.409633 | − | 0.912250i | \(-0.365657\pi\) | |||||||
\(662\) | −0.0105255 | − | 0.100143i | −0.000409085 | − | 0.00389218i | ||||
\(663\) | 15.4413 | − | 31.2377i | 0.599692 | − | 1.21317i | ||||
\(664\) | −0.0945807 | − | 0.105043i | −0.00367044 | − | 0.00407644i | ||||
\(665\) | 53.3400 | + | 5.60626i | 2.06844 | + | 0.217401i | ||||
\(666\) | −0.0574956 | + | 0.176953i | −0.00222791 | + | 0.00685680i | ||||
\(667\) | −4.16945 | + | 12.8322i | −0.161442 | + | 0.496866i | ||||
\(668\) | 34.2342 | + | 3.59816i | 1.32456 | + | 0.139217i | ||||
\(669\) | 7.70256 | − | 6.93542i | 0.297798 | − | 0.268139i | ||||
\(670\) | 1.30454 | + | 1.17461i | 0.0503986 | + | 0.0453791i | ||||
\(671\) | −18.0253 | + | 1.89454i | −0.695861 | + | 0.0731379i | ||||
\(672\) | −6.90795 | − | 1.46833i | −0.266480 | − | 0.0566421i | ||||
\(673\) | −20.8862 | + | 9.29913i | −0.805103 | + | 0.358455i | −0.767671 | − | 0.640844i | \(-0.778584\pi\) |
−0.0374321 | + | 0.999299i | \(0.511918\pi\) | |||||||
\(674\) | −0.0622111 | + | 0.0856262i | −0.00239628 | + | 0.00329820i | ||||
\(675\) | −6.83453 | − | 3.04293i | −0.263061 | − | 0.117122i | ||||
\(676\) | −22.7834 | − | 12.4260i | −0.876285 | − | 0.477924i | ||||
\(677\) | −3.04343 | + | 5.27137i | −0.116968 | + | 0.202595i | −0.918565 | − | 0.395270i | \(-0.870651\pi\) |
0.801596 | + | 0.597865i | \(0.203984\pi\) | |||||||
\(678\) | 0.339431 | + | 0.467186i | 0.0130358 | + | 0.0179422i | ||||
\(679\) | −19.9812 | + | 4.24713i | −0.766808 | + | 0.162990i | ||||
\(680\) | −0.974529 | − | 2.99929i | −0.0373715 | − | 0.115018i | ||||
\(681\) | 43.8613i | 1.68077i | ||||||||
\(682\) | −0.569220 | − | 0.526922i | −0.0217966 | − | 0.0201769i | ||||
\(683\) | − | 16.2705i | − | 0.622573i | −0.950316 | − | 0.311287i | \(-0.899240\pi\) | ||
0.950316 | − | 0.311287i | \(-0.100760\pi\) | |||||||
\(684\) | −5.83786 | + | 1.89684i | −0.223216 | + | 0.0725273i | ||||
\(685\) | 43.5295 | − | 9.25247i | 1.66317 | − | 0.353519i | ||||
\(686\) | −2.71796 | + | 1.97472i | −0.103772 | + | 0.0753950i | ||||
\(687\) | 45.6727 | + | 26.3692i | 1.74252 | + | 1.00605i | ||||
\(688\) | −15.7719 | − | 27.3177i | −0.601297 | − | 1.04148i | ||||
\(689\) | 29.9319 | + | 4.36872i | 1.14032 | + | 0.166435i | ||||
\(690\) | 0.408331 | + | 0.296670i | 0.0155449 | + | 0.0112940i | ||||
\(691\) | −5.06673 | − | 11.3801i | −0.192748 | − | 0.432918i | 0.791157 | − | 0.611613i | \(-0.209479\pi\) |
−0.983904 | + | 0.178695i | \(0.942812\pi\) | |||||||
\(692\) | −45.0688 | − | 9.57967i | −1.71326 | − | 0.364165i | ||||
\(693\) | −0.887558 | − | 8.44455i | −0.0337155 | − | 0.320782i | ||||
\(694\) | −0.507283 | − | 0.456760i | −0.0192562 | − | 0.0173384i | ||||
\(695\) | −24.9408 | + | 22.4568i | −0.946057 | + | 0.851833i | ||||
\(696\) | −3.83028 | − | 0.402579i | −0.145186 | − | 0.0152597i | ||||
\(697\) | 6.82638 | + | 2.21802i | 0.258567 | + | 0.0840137i | ||||
\(698\) | 0.101247 | − | 0.311605i | 0.00383224 | − | 0.0117944i | ||||
\(699\) | −3.40364 | + | 32.3835i | −0.128738 | + | 1.22486i | ||||
\(700\) | −12.7129 | + | 11.4467i | −0.480501 | + | 0.432645i | ||||
\(701\) | −1.29352 | + | 1.43660i | −0.0488557 | + | 0.0542598i | −0.767077 | − | 0.641555i | \(-0.778290\pi\) |
0.718222 | + | 0.695814i | \(0.244956\pi\) | |||||||
\(702\) | 0.891917 | − | 0.354865i | 0.0336633 | − | 0.0133935i | ||||
\(703\) | −16.6274 | − | 3.53426i | −0.627114 | − | 0.133297i | ||||
\(704\) | 7.35219 | + | 16.5133i | 0.277096 | + | 0.622368i | ||||
\(705\) | −45.9698 | − | 33.3990i | −1.73132 | − | 1.25788i | ||||
\(706\) | 1.57603 | + | 0.701695i | 0.0593148 | + | 0.0264086i | ||||
\(707\) | −10.4606 | + | 6.03943i | −0.393411 | + | 0.227136i | ||||
\(708\) | 12.2313 | + | 7.06177i | 0.459682 | + | 0.265397i | ||||
\(709\) | 9.93822 | + | 13.6788i | 0.373238 | + | 0.513718i | 0.953777 | − | 0.300514i | \(-0.0971583\pi\) |
−0.580540 | + | 0.814232i | \(0.697158\pi\) | |||||||
\(710\) | 0.0437828 | + | 0.205982i | 0.00164314 | + | 0.00773037i | ||||
\(711\) | 1.31333 | + | 4.04203i | 0.0492539 | + | 0.151588i | ||||
\(712\) | −2.11490 | −0.0792592 | ||||||||
\(713\) | 2.03555 | − | 8.96666i | 0.0762320 | − | 0.335804i | ||||
\(714\) | 2.94721 | 0.110297 | ||||||||
\(715\) | −11.8425 | − | 17.7597i | −0.442883 | − | 0.664175i | ||||
\(716\) | −23.3770 | + | 4.96893i | −0.873639 | + | 0.185698i | ||||
\(717\) | −16.4629 | − | 22.6592i | −0.614818 | − | 0.846225i | ||||
\(718\) | 0.0898487 | − | 0.155622i | 0.00335312 | − | 0.00580778i | ||||
\(719\) | 16.6662 | + | 28.8667i | 0.621545 | + | 1.07655i | 0.989198 | + | 0.146585i | \(0.0468282\pi\) |
−0.367653 | + | 0.929963i | \(0.619839\pi\) | |||||||
\(720\) | 3.11447 | − | 6.99522i | 0.116069 | − | 0.260696i | ||||
\(721\) | −20.6510 | + | 28.4236i | −0.769082 | + | 1.05855i | ||||
\(722\) | −0.0464193 | − | 0.104259i | −0.00172755 | − | 0.00388013i | ||||
\(723\) | 2.39919 | − | 11.2873i | 0.0892268 | − | 0.419779i | ||||
\(724\) | 3.40115 | + | 32.3597i | 0.126403 | + | 1.20264i | ||||
\(725\) | −9.36651 | + | 10.4026i | −0.347864 | + | 0.386342i | ||||
\(726\) | −0.506585 | + | 0.456131i | −0.0188011 | + | 0.0169286i | ||||
\(727\) | 3.91072 | − | 37.2081i | 0.145041 | − | 1.37997i | −0.643716 | − | 0.765265i | \(-0.722608\pi\) |
0.788757 | − | 0.614706i | \(-0.210725\pi\) | |||||||
\(728\) | 0.176644 | − | 4.39045i | 0.00654685 | − | 0.162721i | ||||
\(729\) | 5.38042 | − | 16.5592i | 0.199275 | − | 0.613305i | ||||
\(730\) | −0.0280191 | − | 0.00294493i | −0.00103703 | − | 0.000108997i | ||||
\(731\) | 26.5071 | + | 29.4391i | 0.980399 | + | 1.08884i | ||||
\(732\) | 20.4990 | − | 22.7665i | 0.757666 | − | 0.841474i | ||||
\(733\) | 10.9259 | − | 1.14835i | 0.403556 | − | 0.0424154i | 0.0994234 | − | 0.995045i | \(-0.468300\pi\) |
0.304132 | + | 0.952630i | \(0.401634\pi\) | |||||||
\(734\) | 0.186908 | − | 0.879334i | 0.00689891 | − | 0.0324568i | ||||
\(735\) | −36.7338 | − | 82.5054i | −1.35495 | − | 3.04326i | ||||
\(736\) | 0.708438 | − | 0.975081i | 0.0261134 | − | 0.0359420i | ||||
\(737\) | 23.1955 | + | 10.3273i | 0.854418 | + | 0.380411i | ||||
\(738\) | −0.0325440 | − | 0.0563678i | −0.00119796 | − | 0.00207493i | ||||
\(739\) | −4.11853 | − | 2.37783i | −0.151502 | − | 0.0874700i | 0.422332 | − | 0.906441i | \(-0.361212\pi\) |
−0.573835 | + | 0.818971i | \(0.694545\pi\) | |||||||
\(740\) | 17.1875 | − | 12.4874i | 0.631824 | − | 0.459047i | ||||
\(741\) | −13.4179 | − | 25.5616i | −0.492917 | − | 0.939027i | ||||
\(742\) | 0.790598 | + | 2.43321i | 0.0290238 | + | 0.0893260i | ||||
\(743\) | 8.54063i | 0.313325i | 0.987652 | + | 0.156663i | \(0.0500735\pi\) | ||||
−0.987652 | + | 0.156663i | \(0.949926\pi\) | |||||||
\(744\) | 2.62435 | + | 0.0361933i | 0.0962132 | + | 0.00132691i | ||||
\(745\) | −9.85733 | −0.361145 | ||||||||
\(746\) | 1.33684 | − | 0.434366i | 0.0489452 | − | 0.0159033i | ||||
\(747\) | 0.0896122 | + | 0.421592i | 0.00327874 | + | 0.0154252i | ||||
\(748\) | −13.3933 | − | 18.4343i | −0.489708 | − | 0.674025i | ||||
\(749\) | −61.0437 | − | 35.2436i | −2.23049 | − | 1.28777i | ||||
\(750\) | −0.502255 | − | 0.869930i | −0.0183397 | − | 0.0317654i | ||||
\(751\) | 28.0738 | + | 12.4993i | 1.02443 | + | 0.456105i | 0.849003 | − | 0.528387i | \(-0.177203\pi\) |
0.175426 | + | 0.984493i | \(0.443870\pi\) | |||||||
\(752\) | −26.5028 | + | 36.4779i | −0.966456 | + | 1.33021i | ||||
\(753\) | 31.9454 | − | 14.2230i | 1.16416 | − | 0.518316i | ||||
\(754\) | −0.115780 | − | 1.79234i | −0.00421647 | − | 0.0652730i | ||||
\(755\) | −0.174446 | − | 1.65975i | −0.00634875 | − | 0.0604043i | ||||
\(756\) | −32.4009 | − | 29.1739i | −1.17841 | − | 1.06104i | ||||
\(757\) | −0.541913 | − | 0.601856i | −0.0196962 | − | 0.0218748i | 0.733216 | − | 0.679996i | \(-0.238018\pi\) |
−0.752912 | + | 0.658121i | \(0.771352\pi\) | |||||||
\(758\) | −0.137424 | + | 1.30750i | −0.00499146 | + | 0.0474906i | ||||
\(759\) | 6.94309 | + | 2.25595i | 0.252018 | + | 0.0818857i | ||||
\(760\) | −2.48487 | − | 0.807383i | −0.0901356 | − | 0.0292868i | ||||
\(761\) | −10.4430 | − | 1.09760i | −0.378558 | − | 0.0397881i | −0.0866612 | − | 0.996238i | \(-0.527620\pi\) |
−0.291897 | + | 0.956450i | \(0.594286\pi\) | |||||||
\(762\) | 0.565979 | − | 0.509610i | 0.0205033 | − | 0.0184612i | ||||
\(763\) | −45.0403 | + | 50.0223i | −1.63057 | + | 1.81093i | ||||
\(764\) | −3.11928 | − | 29.6780i | −0.112852 | − | 1.07371i | ||||
\(765\) | −1.99934 | + | 9.40617i | −0.0722864 | + | 0.340081i | ||||
\(766\) | 1.00929 | − | 0.449366i | 0.0364672 | − | 0.0162362i | ||||
\(767\) | −4.57526 | + | 12.3659i | −0.165203 | + | 0.446506i | ||||
\(768\) | −27.7545 | − | 12.3571i | −1.00150 | − | 0.445898i | ||||
\(769\) | −14.4017 | + | 8.31485i | −0.519340 | + | 0.299841i | −0.736665 | − | 0.676258i | \(-0.763600\pi\) |
0.217325 | + | 0.976099i | \(0.430267\pi\) | |||||||
\(770\) | 0.902708 | − | 1.56354i | 0.0325313 | − | 0.0563459i | ||||
\(771\) | 29.5979 | − | 21.5041i | 1.06594 | − | 0.774452i | ||||
\(772\) | 6.21842 | + | 29.2554i | 0.223806 | + | 1.05292i | ||||
\(773\) | −33.8494 | + | 10.9983i | −1.21748 | + | 0.395582i | −0.846162 | − | 0.532925i | \(-0.821093\pi\) |
−0.371314 | + | 0.928507i | \(0.621093\pi\) | |||||||
\(774\) | − | 0.359226i | − | 0.0129121i | ||||||
\(775\) | 5.71291 | − | 7.63935i | 0.205214 | − | 0.274413i | ||||
\(776\) | 0.995119 | 0.0357227 | ||||||||
\(777\) | 12.2820 | + | 37.8002i | 0.440616 | + | 1.35608i | ||||
\(778\) | −0.00544354 | − | 0.0256099i | −0.000195161 | − | 0.000918158i | ||||
\(779\) | 4.81090 | − | 3.49532i | 0.172368 | − | 0.125233i | ||||
\(780\) | 34.9617 | + | 8.91421i | 1.25183 | + | 0.319180i | ||||
\(781\) | 1.52295 | + | 2.63783i | 0.0544955 | + | 0.0943889i | ||||
\(782\) | −0.204580 | + | 0.459494i | −0.00731577 | + | 0.0164315i | ||||
\(783\) | −28.8628 | − | 20.9700i | −1.03147 | − | 0.749407i | ||||
\(784\) | −65.4696 | + | 29.1489i | −2.33820 | + | 1.04103i | ||||
\(785\) | −2.09310 | + | 9.84728i | −0.0747061 | + | 0.351465i | ||||
\(786\) | −0.150382 | + | 0.0158058i | −0.00536396 | + | 0.000563775i | ||||
\(787\) | −14.7812 | − | 13.3090i | −0.526891 | − | 0.474415i | 0.362229 | − | 0.932089i | \(-0.382016\pi\) |
−0.889120 | + | 0.457674i | \(0.848683\pi\) | |||||||
\(788\) | −36.2810 | + | 32.6676i | −1.29246 | + | 1.16373i | ||||
\(789\) | 1.99765 | − | 19.0064i | 0.0711182 | − | 0.676645i | ||||
\(790\) | −0.279248 | + | 0.859438i | −0.00993521 | + | 0.0305774i | ||||
\(791\) | 23.2878 | + | 7.56666i | 0.828019 | + | 0.269040i | ||||
\(792\) | −0.0432369 | + | 0.411372i | −0.00153636 | + | 0.0146175i | ||||
\(793\) | 24.1733 | + | 15.2841i | 0.858420 | + | 0.542754i | ||||
\(794\) | 0.782685 | − | 0.869260i | 0.0277764 | − | 0.0308489i | ||||
\(795\) | −41.8245 | + | 4.39593i | −1.48336 | + | 0.155908i | ||||
\(796\) | 29.1047 | + | 6.18639i | 1.03159 | + | 0.219271i | ||||
\(797\) | −19.9013 | + | 8.86063i | −0.704941 | + | 0.313860i | −0.727714 | − | 0.685881i | \(-0.759417\pi\) |
0.0227733 | + | 0.999741i | \(0.492750\pi\) | |||||||
\(798\) | 1.43521 | − | 1.97540i | 0.0508058 | − | 0.0699282i | ||||
\(799\) | 23.0316 | − | 51.7297i | 0.814798 | − | 1.83007i | ||||
\(800\) | 1.08289 | − | 0.625208i | 0.0382860 | − | 0.0221044i | ||||
\(801\) | 5.58492 | + | 3.22445i | 0.197333 | + | 0.113930i | ||||
\(802\) | 0.488864 | − | 0.355181i | 0.0172624 | − | 0.0125419i | ||||
\(803\) | −0.398599 | + | 0.0847248i | −0.0140662 | + | 0.00298987i | ||||
\(804\) | −40.8163 | + | 13.2620i | −1.43948 | + | 0.467715i | ||||
\(805\) | 21.4015 | 0.754305 | ||||||||
\(806\) | 0.189485 | + | 1.20921i | 0.00667432 | + | 0.0425927i | ||||
\(807\) | 19.9272 | 0.701471 | ||||||||
\(808\) | 0.559617 | − | 0.181830i | 0.0196872 | − | 0.00639677i | ||||
\(809\) | −1.70007 | + | 0.361362i | −0.0597714 | + | 0.0127048i | −0.237700 | − | 0.971339i | \(-0.576394\pi\) |
0.177929 | + | 0.984043i | \(0.443060\pi\) | |||||||
\(810\) | −1.36455 | + | 0.991401i | −0.0479453 | + | 0.0348343i | ||||
\(811\) | 8.45894 | + | 4.88377i | 0.297033 | + | 0.171492i | 0.641109 | − | 0.767449i | \(-0.278474\pi\) |
−0.344076 | + | 0.938942i | \(0.611808\pi\) | |||||||
\(812\) | −70.6484 | + | 40.7889i | −2.47927 | + | 1.43141i | ||||
\(813\) | −0.946894 | + | 2.12676i | −0.0332090 | + | 0.0745887i | ||||
\(814\) | −0.336339 | + | 0.462931i | −0.0117887 | + | 0.0162257i | ||||
\(815\) | 14.9093 | − | 6.63807i | 0.522252 | − | 0.232521i | ||||
\(816\) | 37.6025 | + | 7.99265i | 1.31635 | + | 0.279799i | ||||
\(817\) | 32.6400 | − | 3.43060i | 1.14193 | − | 0.120021i | ||||
\(818\) | −1.37496 | + | 1.52705i | −0.0480745 | + | 0.0533921i | ||||
\(819\) | −7.16032 | + | 11.3248i | −0.250202 | + | 0.395719i | ||||
\(820\) | −0.776851 | + | 7.39124i | −0.0271288 | + | 0.258113i | ||||
\(821\) | 32.2670 | + | 10.4842i | 1.12613 | + | 0.365901i | 0.812103 | − | 0.583514i | \(-0.198323\pi\) |
0.314024 | + | 0.949415i | \(0.398323\pi\) | |||||||
\(822\) | 0.626064 | − | 1.92683i | 0.0218365 | − | 0.0672058i | ||||
\(823\) | 3.08451 | − | 29.3472i | 0.107519 | − | 1.02298i | −0.799149 | − | 0.601133i | \(-0.794716\pi\) |
0.906668 | − | 0.421844i | \(-0.138617\pi\) | |||||||
\(824\) | 1.27190 | − | 1.14523i | 0.0443088 | − | 0.0398958i | ||||
\(825\) | 5.62847 | + | 5.06790i | 0.195958 | + | 0.176442i | ||||
\(826\) | −1.10907 | + | 0.116568i | −0.0385896 | + | 0.00405593i | ||||
\(827\) | 5.10039 | − | 23.9955i | 0.177358 | − | 0.834404i | −0.796033 | − | 0.605253i | \(-0.793072\pi\) |
0.973391 | − | 0.229151i | \(-0.0735948\pi\) | |||||||
\(828\) | −2.23761 | + | 0.996247i | −0.0777622 | + | 0.0346220i | ||||
\(829\) | −30.8700 | − | 22.4284i | −1.07216 | − | 0.778970i | −0.0958614 | − | 0.995395i | \(-0.530561\pi\) |
−0.976299 | + | 0.216424i | \(0.930561\pi\) | |||||||
\(830\) | −0.0372749 | + | 0.0837209i | −0.00129383 | + | 0.00290599i | ||||
\(831\) | 7.59145 | + | 13.1488i | 0.263344 | + | 0.456126i | ||||
\(832\) | 7.04713 | − | 27.6390i | 0.244315 | − | 0.958209i | ||||
\(833\) | 72.8123 | − | 52.9012i | 2.52280 | − | 1.83292i | ||||
\(834\) | 0.317667 | + | 1.49451i | 0.0109999 | + | 0.0517506i | ||||
\(835\) | −13.8062 | − | 42.4911i | −0.477783 | − | 1.47047i | ||||
\(836\) | −18.8779 | −0.652906 | ||||||||
\(837\) | 20.8855 | + | 12.4454i | 0.721907 | + | 0.430175i | ||||
\(838\) | − | 0.187580i | − | 0.00647983i | ||||||
\(839\) | 4.76103 | − | 1.54695i | 0.164369 | − | 0.0534067i | −0.225677 | − | 0.974202i | \(-0.572459\pi\) |
0.390046 | + | 0.920796i | \(0.372459\pi\) | |||||||
\(840\) | 1.27012 | + | 5.97543i | 0.0438232 | + | 0.206172i | ||||
\(841\) | −30.5426 | + | 22.1905i | −1.05319 | + | 0.765189i | ||||
\(842\) | 0.391333 | − | 0.677809i | 0.0134862 | − | 0.0233588i | ||||
\(843\) | −14.2091 | + | 8.20364i | −0.489388 | + | 0.282548i | ||||
\(844\) | −12.9424 | − | 5.76231i | −0.445494 | − | 0.198347i | ||||
\(845\) | −2.70600 | + | 33.5742i | −0.0930891 | + | 1.15499i | ||||
\(846\) | −0.469091 | + | 0.208853i | −0.0161277 | + | 0.00718050i | ||||
\(847\) | −6.00963 | + | 28.2731i | −0.206493 | + | 0.971474i | ||||
\(848\) | 3.48825 | + | 33.1885i | 0.119787 | + | 1.13970i | ||||
\(849\) | −1.16197 | + | 1.29050i | −0.0398787 | + | 0.0442897i | ||||
\(850\) | −0.387788 | + | 0.349166i | −0.0133010 | + | 0.0119763i | ||||
\(851\) | −6.74591 | − | 0.709024i | −0.231247 | − | 0.0243050i | ||||
\(852\) | −4.89639 | − | 1.59093i | −0.167747 | − | 0.0545045i | ||||
\(853\) | −35.9066 | − | 11.6668i | −1.22942 | − | 0.399462i | −0.378915 | − | 0.925431i | \(-0.623703\pi\) |
−0.850504 | + | 0.525969i | \(0.823703\pi\) | |||||||
\(854\) | −0.252848 | + | 2.40569i | −0.00865229 | + | 0.0823210i | ||||
\(855\) | 5.33094 | + | 5.92061i | 0.182314 | + | 0.202481i | ||||
\(856\) | 2.55177 | + | 2.29762i | 0.0872177 | + | 0.0785312i | ||||
\(857\) | −2.95598 | − | 28.1243i | −0.100975 | − | 0.960708i | −0.921311 | − | 0.388827i | \(-0.872880\pi\) |
0.820336 | − | 0.571881i | \(-0.193786\pi\) | |||||||
\(858\) | −0.969772 | + | 0.0626449i | −0.0331075 | + | 0.00213866i | ||||
\(859\) | 11.8377 | − | 5.27047i | 0.403896 | − | 0.179826i | −0.194726 | − | 0.980858i | \(-0.562382\pi\) |
0.598622 | + | 0.801032i | \(0.295715\pi\) | |||||||
\(860\) | −24.1095 | + | 33.1839i | −0.822128 | + | 1.13156i | ||||
\(861\) | −12.7018 | − | 5.65522i | −0.432878 | − | 0.192730i | ||||
\(862\) | −0.409621 | − | 0.709485i | −0.0139518 | − | 0.0241651i | ||||
\(863\) | 26.3212 | + | 15.1965i | 0.895983 | + | 0.517296i | 0.875895 | − | 0.482502i | \(-0.160272\pi\) |
0.0200884 | + | 0.999798i | \(0.493605\pi\) | |||||||
\(864\) | 1.87321 | + | 2.57825i | 0.0637278 | + | 0.0877139i | ||||
\(865\) | 12.4336 | + | 58.4954i | 0.422755 | + | 1.98890i | ||||
\(866\) | 1.42030 | − | 0.461482i | 0.0482636 | − | 0.0156818i | ||||
\(867\) | −15.3886 | −0.522623 | ||||||||
\(868\) | 45.4218 | − | 32.0533i | 1.54172 | − | 1.08796i | ||||
\(869\) | 13.0707i | 0.443394i | ||||||||
\(870\) | 0.771632 | + | 2.37484i | 0.0261608 | + | 0.0805146i | ||||
\(871\) | −18.6216 | − | 35.4749i | −0.630969 | − | 1.20202i | ||||
\(872\) | 2.65281 | − | 1.92738i | 0.0898354 | − | 0.0652693i | ||||
\(873\) | −2.62786 | − | 1.51720i | −0.0889395 | − | 0.0513493i | ||||
\(874\) | 0.208355 | + | 0.360882i | 0.00704772 | + | 0.0122070i | ||||
\(875\) | −38.9111 | − | 17.3244i | −1.31544 | − | 0.585670i | ||||
\(876\) | 0.404859 | − | 0.557240i | 0.0136789 | − | 0.0188274i | ||||
\(877\) | 6.56321 | + | 14.7412i | 0.221624 | + | 0.497776i | 0.989800 | − | 0.142463i | \(-0.0455022\pi\) |
−0.768176 | + | 0.640239i | \(0.778835\pi\) | |||||||
\(878\) | −0.141073 | + | 0.663697i | −0.00476099 | + | 0.0223987i | ||||
\(879\) | −32.6478 | + | 3.43143i | −1.10118 | + | 0.115739i | ||||
\(880\) | 15.7575 | − | 17.5005i | 0.531187 | − | 0.589943i | ||||
\(881\) | 24.7607 | + | 27.4995i | 0.834208 | + | 0.926482i | 0.998200 | − | 0.0599795i | \(-0.0191035\pi\) |
−0.163991 | + | 0.986462i | \(0.552437\pi\) | |||||||
\(882\) | −0.811667 | − | 0.0853097i | −0.0273303 | − | 0.00287253i | ||||
\(883\) | −15.0927 | + | 46.4506i | −0.507911 | + | 1.56319i | 0.287911 | + | 0.957657i | \(0.407039\pi\) |
−0.795822 | + | 0.605531i | \(0.792961\pi\) | |||||||
\(884\) | −1.44544 | + | 35.9264i | −0.0486156 | + | 1.20833i | ||||
\(885\) | 1.91613 | − | 18.2307i | 0.0644098 | − | 0.612819i | ||||
\(886\) | −1.46060 | + | 1.31513i | −0.0490697 | + | 0.0441826i | ||||
\(887\) | −27.4446 | + | 30.4803i | −0.921498 | + | 1.02343i | 0.0781512 | + | 0.996942i | \(0.475098\pi\) |
−0.999649 | + | 0.0264857i | \(0.991568\pi\) | |||||||
\(888\) | −0.202386 | − | 1.92558i | −0.00679164 | − | 0.0646181i | ||||
\(889\) | 6.71423 | − | 31.5879i | 0.225188 | − | 1.05943i | ||||
\(890\) | 0.557718 | + | 1.25266i | 0.0186948 | + | 0.0419891i | ||||
\(891\) | −14.3397 | + | 19.7369i | −0.480399 | + | 0.661212i | ||||
\(892\) | −4.35000 | + | 9.77026i | −0.145649 | + | 0.327132i | ||||
\(893\) | −23.4566 | − | 40.6280i | −0.784945 | − | 1.35956i | ||||
\(894\) | −0.224381 | + | 0.388640i | −0.00750444 | + | 0.0129981i | ||||
\(895\) | 18.2326 | + | 25.0950i | 0.609448 | + | 0.838834i | ||||
\(896\) | 9.50094 | − | 2.01949i | 0.317404 | − | 0.0674664i | ||||
\(897\) | −6.39098 | − | 9.58431i | −0.213389 | − | 0.320011i | ||||
\(898\) | −2.54225 | −0.0848361 | ||||||||
\(899\) | 34.2221 | − | 29.9696i | 1.14137 | − | 0.999543i | ||||
\(900\) | −2.54112 | −0.0847039 | ||||||||
\(901\) | −12.9507 | − | 39.8582i | −0.431451 | − | 1.32787i | ||||
\(902\) | −0.0416185 | − | 0.195800i | −0.00138574 | − | 0.00651941i | ||||
\(903\) | −45.1047 | − | 62.0813i | −1.50099 | − | 2.06594i | ||||
\(904\) | −1.03303 | − | 0.596418i | −0.0343579 | − | 0.0198366i | ||||
\(905\) | 36.5736 | − | 21.1158i | 1.21575 | − | 0.701911i | ||||
\(906\) | −0.0694089 | − | 0.0309028i | −0.00230595 | − | 0.00102668i | ||||
\(907\) | −29.2715 | − | 21.2670i | −0.971945 | − | 0.706159i | −0.0160509 | − | 0.999871i | \(-0.505109\pi\) |
−0.955894 | + | 0.293712i | \(0.905109\pi\) | |||||||
\(908\) | −18.4081 | − | 41.3452i | −0.610893 | − | 1.37209i | ||||
\(909\) | −1.75503 | − | 0.373043i | −0.0582107 | − | 0.0123731i | ||||
\(910\) | −2.64705 | + | 1.05318i | −0.0877488 | + | 0.0349125i | ||||
\(911\) | −9.21872 | + | 10.2384i | −0.305430 | + | 0.339214i | −0.876246 | − | 0.481863i | \(-0.839960\pi\) |
0.570816 | + | 0.821078i | \(0.306627\pi\) | |||||||
\(912\) | 23.6685 | − | 21.3112i | 0.783741 | − | 0.705684i | ||||
\(913\) | −0.138557 | + | 1.31828i | −0.00458558 | + | 0.0436288i | ||||
\(914\) | 0.169775 | − | 0.522515i | 0.00561567 | − | 0.0172832i | ||||
\(915\) | −37.8159 | − | 12.2871i | −1.25016 | − | 0.406200i | ||||
\(916\) | −54.1196 | − | 5.68820i | −1.78816 | − | 0.187943i | ||||
\(917\) | −4.76481 | + | 4.29026i | −0.157348 | + | 0.141677i | ||||
\(918\) | −0.988343 | − | 0.889908i | −0.0326202 | − | 0.0293713i | ||||
\(919\) | −3.07753 | − | 29.2808i | −0.101518 | − | 0.965883i | −0.920151 | − | 0.391565i | \(-0.871934\pi\) |
0.818632 | − | 0.574318i | \(-0.194733\pi\) | |||||||
\(920\) | −1.01978 | − | 0.216762i | −0.0336212 | − | 0.00714642i | ||||
\(921\) | 27.3934 | + | 61.5267i | 0.902644 | + | 2.02737i | ||||
\(922\) | −1.82757 | − | 1.32781i | −0.0601877 | − | 0.0437289i | ||||
\(923\) | 0.694149 | − | 4.75591i | 0.0228482 | − | 0.156543i | ||||
\(924\) | 22.0695 | + | 38.2255i | 0.726033 | + | 1.25753i | ||||
\(925\) | −6.09436 | − | 3.51858i | −0.200381 | − | 0.115690i | ||||
\(926\) | 0.646373 | − | 0.469618i | 0.0212411 | − | 0.0154326i | ||||
\(927\) | −5.10482 | + | 1.08506i | −0.167664 | + | 0.0356382i | ||||
\(928\) | 5.67103 | − | 1.84263i | 0.186161 | − | 0.0604873i | ||||
\(929\) | − | 25.3375i | − | 0.831297i | −0.909525 | − | 0.415648i | \(-0.863555\pi\) | ||
0.909525 | − | 0.415648i | \(-0.136445\pi\) | |||||||
\(930\) | −0.670627 | − | 1.56395i | −0.0219907 | − | 0.0512838i | ||||
\(931\) | − | 74.5644i | − | 2.44375i | ||||||
\(932\) | −10.3826 | − | 31.9543i | −0.340093 | − | 1.04670i | ||||
\(933\) | −12.2978 | + | 2.61397i | −0.402610 | + | 0.0855775i | ||||
\(934\) | −0.869636 | − | 1.19695i | −0.0284554 | − | 0.0391655i | ||||
\(935\) | −14.7872 | + | 25.6121i | −0.483592 | + | 0.837607i | ||||
\(936\) | 0.455890 | − | 0.467103i | 0.0149012 | − | 0.0152677i | ||||
\(937\) | −21.6592 | − | 9.64331i | −0.707576 | − | 0.315033i | 0.0212097 | − | 0.999775i | \(-0.493248\pi\) |
−0.728786 | + | 0.684742i | \(0.759915\pi\) | |||||||
\(938\) | 1.99181 | − | 2.74150i | 0.0650350 | − | 0.0895130i | ||||
\(939\) | −5.89755 | + | 2.62576i | −0.192459 | + | 0.0856884i | ||||
\(940\) | 57.3500 | + | 12.1901i | 1.87055 | + | 0.397598i | ||||
\(941\) | −29.2425 | + | 3.07351i | −0.953279 | + | 0.100194i | −0.568381 | − | 0.822765i | \(-0.692430\pi\) |
−0.384898 | + | 0.922959i | \(0.625763\pi\) | |||||||
\(942\) | 0.340599 | + | 0.306676i | 0.0110973 | + | 0.00999206i | ||||
\(943\) | 1.76339 | − | 1.58776i | 0.0574239 | − | 0.0517047i | ||||
\(944\) | −14.4664 | − | 1.52048i | −0.470842 | − | 0.0494874i | ||||
\(945\) | −17.4868 | + | 53.8190i | −0.568847 | + | 1.75073i | ||||
\(946\) | 0.341394 | − | 1.05070i | 0.0110997 | − | 0.0341613i | ||||
\(947\) | 54.4413 | + | 5.72201i | 1.76910 | + | 0.185940i | 0.932330 | − | 0.361607i | \(-0.117772\pi\) |
0.836774 | + | 0.547548i | \(0.184439\pi\) | |||||||
\(948\) | −14.7830 | − | 16.4182i | −0.480131 | − | 0.533239i | ||||
\(949\) | 0.576442 | + | 0.284945i | 0.0187121 | + | 0.00924970i | ||||
\(950\) | 0.0451898 | + | 0.429952i | 0.00146615 | + | 0.0139495i | ||||
\(951\) | 11.0107 | − | 51.8015i | 0.357048 | − | 1.67978i | ||||
\(952\) | −5.56147 | + | 2.47613i | −0.180248 | + | 0.0802518i | ||||
\(953\) | 12.1399 | + | 8.82017i | 0.393251 | + | 0.285713i | 0.766786 | − | 0.641902i | \(-0.221855\pi\) |
−0.373536 | + | 0.927616i | \(0.621855\pi\) | |||||||
\(954\) | −0.154576 | + | 0.347183i | −0.00500457 | + | 0.0112405i | ||||
\(955\) | −33.5426 | + | 19.3658i | −1.08541 | + | 0.626664i | ||||
\(956\) | 25.0284 | + | 14.4501i | 0.809475 | + | 0.467350i | ||||
\(957\) | 21.2294 | + | 29.2198i | 0.686249 | + | 0.944541i | ||||
\(958\) | −1.03162 | + | 0.219278i | −0.0333302 | + | 0.00708456i | ||||
\(959\) | −26.5466 | − | 81.7020i | −0.857234 | − | 2.63829i | ||||
\(960\) | 39.6555i | 1.27987i | ||||||||
\(961\) | −21.3705 | + | 22.4567i | −0.689370 | + | 0.724409i | ||||
\(962\) | 0.869259 | − | 0.244273i | 0.0280260 | − | 0.00787567i | ||||
\(963\) | −3.23554 | − | 9.95797i | −0.104264 | − | 0.320891i | ||||
\(964\) | 2.47559 | + | 11.6467i | 0.0797333 | + | 0.375116i | ||||
\(965\) | 31.4054 | − | 22.8174i | 1.01098 | − | 0.734517i | ||||
\(966\) | 0.487161 | − | 0.843788i | 0.0156741 | − | 0.0271484i | ||||
\(967\) | 17.6812 | − | 10.2082i | 0.568588 | − | 0.328274i | −0.187997 | − | 0.982170i | \(-0.560200\pi\) |
0.756585 | + | 0.653895i | \(0.226866\pi\) | |||||||
\(968\) | 0.572717 | − | 1.28634i | 0.0184078 | − | 0.0413446i | ||||
\(969\) | −23.5100 | + | 32.3588i | −0.755251 | + | 1.03951i | ||||
\(970\) | −0.262422 | − | 0.589409i | −0.00842586 | − | 0.0189248i | ||||
\(971\) | −3.05415 | − | 0.649179i | −0.0980123 | − | 0.0208332i | 0.158644 | − | 0.987336i | \(-0.449288\pi\) |
−0.256657 | + | 0.966503i | \(0.582621\pi\) | |||||||
\(972\) | −1.57679 | − | 15.0022i | −0.0505757 | − | 0.481196i | ||||
\(973\) | 48.1457 | + | 43.3505i | 1.54348 | + | 1.38975i | ||||
\(974\) | 1.06540 | + | 1.18325i | 0.0341376 | + | 0.0379137i | ||||
\(975\) | −2.01284 | − | 11.7805i | −0.0644624 | − | 0.377278i | ||||
\(976\) | −9.75007 | + | 30.0076i | −0.312092 | + | 0.960521i | ||||
\(977\) | −2.11037 | − | 0.685700i | −0.0675167 | − | 0.0219375i | 0.275064 | − | 0.961426i | \(-0.411301\pi\) |
−0.342581 | + | 0.939488i | \(0.611301\pi\) | |||||||
\(978\) | 0.0776642 | − | 0.738925i | 0.00248343 | − | 0.0236282i | ||||
\(979\) | 13.2710 | + | 14.7389i | 0.424143 | + | 0.471059i | ||||
\(980\) | 69.2532 | + | 62.3558i | 2.21221 | + | 1.99188i | ||||
\(981\) | −9.94395 | + | 1.04515i | −0.317486 | + | 0.0333691i | ||||
\(982\) | 0.0130010 | − | 0.0611651i | 0.000414880 | − | 0.00195186i | ||||
\(983\) | −8.00514 | − | 17.9798i | −0.255324 | − | 0.573468i | 0.739718 | − | 0.672916i | \(-0.234959\pi\) |
−0.995043 | + | 0.0994489i | \(0.968292\pi\) | |||||||
\(984\) | 0.547965 | + | 0.398120i | 0.0174685 | + | 0.0126916i | ||||
\(985\) | 57.8871 | + | 25.7730i | 1.84444 | + | 0.821196i | ||||
\(986\) | −2.15503 | + | 1.24421i | −0.0686301 | + | 0.0396236i | ||||
\(987\) | −54.8445 | + | 94.9934i | −1.74572 | + | 3.02367i | ||||
\(988\) | 23.3761 | + | 18.4639i | 0.743691 | + | 0.587416i | ||||
\(989\) | 12.8099 | − | 2.72283i | 0.407331 | − | 0.0865810i | ||||
\(990\) | 0.255058 | − | 0.0828732i | 0.00810626 | − | 0.00263388i | ||||
\(991\) | 13.7827 | 0.437822 | 0.218911 | − | 0.975745i | \(-0.429750\pi\) | ||||
0.218911 | + | 0.975745i | \(0.429750\pi\) | |||||||
\(992\) | −3.73465 | + | 1.60143i | −0.118575 | + | 0.0508456i | ||||
\(993\) | − | 3.19520i | − | 0.101397i | ||||||
\(994\) | 0.386615 | − | 0.125619i | 0.0122627 | − | 0.00398439i | ||||
\(995\) | −8.02940 | − | 37.7754i | −0.254549 | − | 1.19756i | ||||
\(996\) | −1.31694 | − | 1.81262i | −0.0417289 | − | 0.0574349i | ||||
\(997\) | −0.0689969 | + | 0.119506i | −0.00218515 | + | 0.00378480i | −0.867116 | − | 0.498106i | \(-0.834029\pi\) |
0.864931 | + | 0.501891i | \(0.167362\pi\) | |||||||
\(998\) | −0.129330 | − | 0.224006i | −0.00409387 | − | 0.00709079i | ||||
\(999\) | 7.29497 | − | 16.3848i | 0.230803 | − | 0.518391i |
(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 | 403.2.bz.a.38.19 | yes | 288 | |
13.12 | even | 2 | inner | 403.2.bz.a.38.18 | ✓ | 288 | |
31.9 | even | 15 | inner | 403.2.bz.a.350.18 | yes | 288 | |
403.350 | even | 30 | inner | 403.2.bz.a.350.19 | yes | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.bz.a.38.18 | ✓ | 288 | 13.12 | even | 2 | inner | |
403.2.bz.a.38.19 | yes | 288 | 1.1 | even | 1 | trivial | |
403.2.bz.a.350.18 | yes | 288 | 31.9 | even | 15 | inner | |
403.2.bz.a.350.19 | yes | 288 | 403.350 | even | 30 | inner |