Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(99,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.v (of order \(18\), degree \(6\), 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: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 169.5 | ||
Character | \(\chi\) | \(=\) | 370.169 |
Dual form | 370.2.v.b.289.5 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{11}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | + | 0.342020i | 0.664463 | + | 0.241845i | ||||
\(3\) | −0.362370 | − | 0.995603i | −0.209214 | − | 0.574812i | 0.790055 | − | 0.613036i | \(-0.210052\pi\) |
−0.999269 | + | 0.0382246i | \(0.987830\pi\) | |||||||
\(4\) | 0.766044 | + | 0.642788i | 0.383022 | + | 0.321394i | ||||
\(5\) | 2.12894 | + | 0.683822i | 0.952091 | + | 0.305814i | ||||
\(6\) | − | 1.05950i | − | 0.432538i | ||||||
\(7\) | −1.06185 | − | 0.187234i | −0.401343 | − | 0.0707676i | −0.0306666 | − | 0.999530i | \(-0.509763\pi\) |
−0.370676 | + | 0.928762i | \(0.620874\pi\) | |||||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | 1.43822 | − | 1.20681i | 0.479407 | − | 0.402270i | ||||
\(10\) | 1.76667 | + | 1.37072i | 0.558670 | + | 0.433461i | ||||
\(11\) | 0.436261 | + | 0.755627i | 0.131538 | + | 0.227830i | 0.924270 | − | 0.381741i | \(-0.124675\pi\) |
−0.792732 | + | 0.609571i | \(0.791342\pi\) | |||||||
\(12\) | 0.362370 | − | 0.995603i | 0.104607 | − | 0.287406i | ||||
\(13\) | 1.18263 | + | 0.992348i | 0.328004 | + | 0.275228i | 0.791886 | − | 0.610669i | \(-0.209099\pi\) |
−0.463882 | + | 0.885897i | \(0.653544\pi\) | |||||||
\(14\) | −0.933779 | − | 0.539117i | −0.249563 | − | 0.144085i | ||||
\(15\) | −0.0906487 | − | 2.36738i | −0.0234054 | − | 0.611254i | ||||
\(16\) | 0.173648 | + | 0.984808i | 0.0434120 | + | 0.246202i | ||||
\(17\) | −0.626355 | + | 0.525574i | −0.151913 | + | 0.127470i | −0.715577 | − | 0.698534i | \(-0.753836\pi\) |
0.563663 | + | 0.826005i | \(0.309392\pi\) | |||||||
\(18\) | 1.76424 | − | 0.642130i | 0.415835 | − | 0.151352i | ||||
\(19\) | −0.570090 | − | 1.56631i | −0.130788 | − | 0.359336i | 0.856963 | − | 0.515378i | \(-0.172349\pi\) |
−0.987750 | + | 0.156042i | \(0.950126\pi\) | |||||||
\(20\) | 1.19131 | + | 1.89229i | 0.266385 | + | 0.423130i | ||||
\(21\) | 0.198374 | + | 1.12503i | 0.0432887 | + | 0.245502i | ||||
\(22\) | 0.151512 | + | 0.859267i | 0.0323025 | + | 0.183196i | ||||
\(23\) | 2.32537 | − | 4.02766i | 0.484873 | − | 0.839825i | −0.514976 | − | 0.857205i | \(-0.672199\pi\) |
0.999849 | + | 0.0173800i | \(0.00553250\pi\) | |||||||
\(24\) | 0.681032 | − | 0.811623i | 0.139015 | − | 0.165672i | ||||
\(25\) | 4.06478 | + | 2.91163i | 0.812955 | + | 0.582326i | ||||
\(26\) | 0.771910 | + | 1.33699i | 0.151384 | + | 0.262205i | ||||
\(27\) | −4.47533 | − | 2.58383i | −0.861277 | − | 0.497259i | ||||
\(28\) | −0.693076 | − | 0.825976i | −0.130979 | − | 0.156095i | ||||
\(29\) | −1.84171 | + | 1.06331i | −0.341997 | + | 0.197452i | −0.661155 | − | 0.750249i | \(-0.729933\pi\) |
0.319158 | + | 0.947702i | \(0.396600\pi\) | |||||||
\(30\) | 0.724508 | − | 2.25561i | 0.132276 | − | 0.411816i | ||||
\(31\) | 2.18324i | 0.392122i | 0.980592 | + | 0.196061i | \(0.0628150\pi\) | ||||
−0.980592 | + | 0.196061i | \(0.937185\pi\) | |||||||
\(32\) | −0.173648 | + | 0.984808i | −0.0306970 | + | 0.174091i | ||||
\(33\) | 0.594216 | − | 0.708159i | 0.103440 | − | 0.123275i | ||||
\(34\) | −0.768338 | + | 0.279652i | −0.131769 | + | 0.0479600i | ||||
\(35\) | −2.13259 | − | 1.12473i | −0.360473 | − | 0.190114i | ||||
\(36\) | 1.87746 | 0.312911 | ||||||||
\(37\) | −4.86631 | + | 3.64952i | −0.800017 | + | 0.599977i | ||||
\(38\) | − | 1.66683i | − | 0.270396i | ||||||
\(39\) | 0.559434 | − | 1.53703i | 0.0895811 | − | 0.246122i | ||||
\(40\) | 0.472263 | + | 2.18563i | 0.0746713 | + | 0.345578i | ||||
\(41\) | 1.27193 | + | 1.06727i | 0.198642 | + | 0.166680i | 0.736683 | − | 0.676238i | \(-0.236391\pi\) |
−0.538041 | + | 0.842919i | \(0.680836\pi\) | |||||||
\(42\) | −0.198374 | + | 1.12503i | −0.0306097 | + | 0.173596i | ||||
\(43\) | −2.12972 | −0.324780 | −0.162390 | − | 0.986727i | \(-0.551920\pi\) | ||||
−0.162390 | + | 0.986727i | \(0.551920\pi\) | |||||||
\(44\) | −0.151512 | + | 0.859267i | −0.0228413 | + | 0.129539i | ||||
\(45\) | 3.88713 | − | 1.58574i | 0.579459 | − | 0.236388i | ||||
\(46\) | 3.56267 | − | 2.98944i | 0.525287 | − | 0.440768i | ||||
\(47\) | −4.23630 | − | 2.44583i | −0.617928 | − | 0.356761i | 0.158134 | − | 0.987418i | \(-0.449452\pi\) |
−0.776062 | + | 0.630657i | \(0.782786\pi\) | |||||||
\(48\) | 0.917552 | − | 0.529749i | 0.132437 | − | 0.0764627i | ||||
\(49\) | −5.48537 | − | 1.99651i | −0.783624 | − | 0.285216i | ||||
\(50\) | 2.82380 | + | 4.12627i | 0.399346 | + | 0.583543i | ||||
\(51\) | 0.750235 | + | 0.433149i | 0.105054 | + | 0.0606529i | ||||
\(52\) | 0.268082 | + | 1.52037i | 0.0371762 | + | 0.210837i | ||||
\(53\) | 4.91073 | − | 0.865893i | 0.674540 | − | 0.118940i | 0.174123 | − | 0.984724i | \(-0.444291\pi\) |
0.500417 | + | 0.865784i | \(0.333180\pi\) | |||||||
\(54\) | −3.32171 | − | 3.95866i | −0.452028 | − | 0.538705i | ||||
\(55\) | 0.412060 | + | 1.90701i | 0.0555622 | + | 0.257141i | ||||
\(56\) | −0.368778 | − | 1.01321i | −0.0492800 | − | 0.135396i | ||||
\(57\) | −1.35284 | + | 1.13517i | −0.179188 | + | 0.150357i | ||||
\(58\) | −2.09432 | + | 0.369284i | −0.274997 | + | 0.0484894i | ||||
\(59\) | −10.8290 | + | 1.90944i | −1.40981 | + | 0.248588i | −0.826168 | − | 0.563423i | \(-0.809484\pi\) |
−0.583642 | + | 0.812011i | \(0.698373\pi\) | |||||||
\(60\) | 1.45228 | − | 1.87178i | 0.187488 | − | 0.241646i | ||||
\(61\) | 1.22233 | − | 1.45671i | 0.156503 | − | 0.186513i | −0.682095 | − | 0.731263i | \(-0.738931\pi\) |
0.838598 | + | 0.544750i | \(0.183376\pi\) | |||||||
\(62\) | −0.746712 | + | 2.05157i | −0.0948325 | + | 0.260550i | ||||
\(63\) | −1.75314 | + | 1.01217i | −0.220874 | + | 0.127522i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 1.83917 | + | 2.92136i | 0.228121 | + | 0.362350i | ||||
\(66\) | 0.800585 | − | 0.462218i | 0.0985452 | − | 0.0568951i | ||||
\(67\) | −5.75930 | − | 1.01552i | −0.703610 | − | 0.124065i | −0.189615 | − | 0.981859i | \(-0.560724\pi\) |
−0.513995 | + | 0.857793i | \(0.671835\pi\) | |||||||
\(68\) | −0.817648 | −0.0991544 | ||||||||
\(69\) | −4.85259 | − | 0.855643i | −0.584183 | − | 0.103007i | ||||
\(70\) | −1.61930 | − | 1.78629i | −0.193543 | − | 0.213502i | ||||
\(71\) | −10.2016 | + | 3.71309i | −1.21071 | + | 0.440663i | −0.866951 | − | 0.498394i | \(-0.833923\pi\) |
−0.343761 | + | 0.939057i | \(0.611701\pi\) | |||||||
\(72\) | 1.76424 | + | 0.642130i | 0.207917 | + | 0.0756758i | ||||
\(73\) | 10.5379i | 1.23336i | 0.787212 | + | 0.616682i | \(0.211523\pi\) | ||||
−0.787212 | + | 0.616682i | \(0.788477\pi\) | |||||||
\(74\) | −5.82105 | + | 1.76505i | −0.676683 | + | 0.205183i | ||||
\(75\) | 1.42588 | − | 5.10199i | 0.164646 | − | 0.589127i | ||||
\(76\) | 0.570090 | − | 1.56631i | 0.0653938 | − | 0.179668i | ||||
\(77\) | −0.321767 | − | 0.884048i | −0.0366688 | − | 0.100747i | ||||
\(78\) | 1.05139 | − | 1.25300i | 0.119047 | − | 0.141874i | ||||
\(79\) | −4.86694 | − | 0.858174i | −0.547574 | − | 0.0965521i | −0.106984 | − | 0.994261i | \(-0.534119\pi\) |
−0.440590 | + | 0.897709i | \(0.645231\pi\) | |||||||
\(80\) | −0.303747 | + | 2.21534i | −0.0339599 | + | 0.247683i | ||||
\(81\) | 0.0273076 | − | 0.154869i | 0.00303418 | − | 0.0172077i | ||||
\(82\) | 0.830191 | + | 1.43793i | 0.0916793 | + | 0.158793i | ||||
\(83\) | 2.61137 | + | 3.11211i | 0.286635 | + | 0.341598i | 0.890078 | − | 0.455808i | \(-0.150650\pi\) |
−0.603443 | + | 0.797406i | \(0.706205\pi\) | |||||||
\(84\) | −0.571194 | + | 0.989337i | −0.0623224 | + | 0.107946i | ||||
\(85\) | −1.69287 | + | 0.690601i | −0.183618 | + | 0.0749062i | ||||
\(86\) | −2.00128 | − | 0.728408i | −0.215804 | − | 0.0785463i | ||||
\(87\) | 1.72602 | + | 1.44830i | 0.185048 | + | 0.155274i | ||||
\(88\) | −0.436261 | + | 0.755627i | −0.0465056 | + | 0.0805501i | ||||
\(89\) | −15.0870 | + | 2.66025i | −1.59922 | + | 0.281986i | −0.900975 | − | 0.433871i | \(-0.857147\pi\) |
−0.698247 | + | 0.715857i | \(0.746036\pi\) | |||||||
\(90\) | 4.19506 | − | 0.160632i | 0.442198 | − | 0.0169321i | ||||
\(91\) | −1.06998 | − | 1.27516i | −0.112165 | − | 0.133673i | ||||
\(92\) | 4.37026 | − | 1.59065i | 0.455632 | − | 0.165836i | ||||
\(93\) | 2.17364 | − | 0.791140i | 0.225396 | − | 0.0820374i | ||||
\(94\) | −3.14430 | − | 3.74723i | −0.324309 | − | 0.386497i | ||||
\(95\) | −0.142611 | − | 3.72442i | −0.0146316 | − | 0.382118i | ||||
\(96\) | 1.04340 | − | 0.183980i | 0.106492 | − | 0.0187774i | ||||
\(97\) | 5.51919 | − | 9.55952i | 0.560389 | − | 0.970622i | −0.437073 | − | 0.899426i | \(-0.643985\pi\) |
0.997462 | − | 0.0711965i | \(-0.0226817\pi\) | |||||||
\(98\) | −4.47172 | − | 3.75221i | −0.451711 | − | 0.379031i | ||||
\(99\) | 1.53934 | + | 0.560273i | 0.154709 | + | 0.0563096i | ||||
\(100\) | 1.24224 | + | 4.84323i | 0.124224 | + | 0.484323i | ||||
\(101\) | 1.28806 | − | 2.23099i | 0.128167 | − | 0.221992i | −0.794800 | − | 0.606872i | \(-0.792424\pi\) |
0.922966 | + | 0.384881i | \(0.125757\pi\) | |||||||
\(102\) | 0.556845 | + | 0.663622i | 0.0551359 | + | 0.0657084i | ||||
\(103\) | 2.51846 | + | 4.36211i | 0.248152 | + | 0.429811i | 0.963013 | − | 0.269455i | \(-0.0868435\pi\) |
−0.714861 | + | 0.699266i | \(0.753510\pi\) | |||||||
\(104\) | −0.268082 | + | 1.52037i | −0.0262876 | + | 0.149084i | ||||
\(105\) | −0.346996 | + | 2.53078i | −0.0338634 | + | 0.246979i | ||||
\(106\) | 4.91073 | + | 0.865893i | 0.476972 | + | 0.0841030i | ||||
\(107\) | 1.57623 | − | 1.87848i | 0.152380 | − | 0.181599i | −0.684454 | − | 0.729056i | \(-0.739959\pi\) |
0.836834 | + | 0.547457i | \(0.184404\pi\) | |||||||
\(108\) | −1.76745 | − | 4.85602i | −0.170072 | − | 0.467270i | ||||
\(109\) | 3.11601 | − | 8.56118i | 0.298460 | − | 0.820012i | −0.696298 | − | 0.717753i | \(-0.745171\pi\) |
0.994758 | − | 0.102259i | \(-0.0326071\pi\) | |||||||
\(110\) | −0.265026 | + | 1.93294i | −0.0252692 | + | 0.184298i | ||||
\(111\) | 5.39688 | + | 3.52244i | 0.512249 | + | 0.334335i | ||||
\(112\) | − | 1.07823i | − | 0.101884i | ||||||
\(113\) | 9.25336 | + | 3.36795i | 0.870483 | + | 0.316830i | 0.738363 | − | 0.674404i | \(-0.235599\pi\) |
0.132120 | + | 0.991234i | \(0.457822\pi\) | |||||||
\(114\) | −1.65950 | + | 0.604010i | −0.155427 | + | 0.0565707i | ||||
\(115\) | 7.70477 | − | 6.98450i | 0.718474 | − | 0.651308i | ||||
\(116\) | −2.09432 | − | 0.369284i | −0.194452 | − | 0.0342872i | ||||
\(117\) | 2.89847 | 0.267963 | ||||||||
\(118\) | −10.8290 | − | 1.90944i | −0.996886 | − | 0.175778i | ||||
\(119\) | 0.763503 | − | 0.440809i | 0.0699902 | − | 0.0404088i | ||||
\(120\) | 2.00488 | − | 1.26219i | 0.183020 | − | 0.115222i | ||||
\(121\) | 5.11935 | − | 8.86698i | 0.465396 | − | 0.806089i | ||||
\(122\) | 1.64684 | − | 0.950801i | 0.149097 | − | 0.0860815i | ||||
\(123\) | 0.601672 | − | 1.65308i | 0.0542510 | − | 0.149053i | ||||
\(124\) | −1.40336 | + | 1.67246i | −0.126025 | + | 0.150191i | ||||
\(125\) | 6.66263 | + | 8.97827i | 0.595923 | + | 0.803041i | ||||
\(126\) | −1.99359 | + | 0.351524i | −0.177603 | + | 0.0313162i | ||||
\(127\) | 17.5015 | − | 3.08598i | 1.55300 | − | 0.273836i | 0.669697 | − | 0.742634i | \(-0.266424\pi\) |
0.883305 | + | 0.468798i | \(0.155313\pi\) | |||||||
\(128\) | −0.766044 | + | 0.642788i | −0.0677094 | + | 0.0568149i | ||||
\(129\) | 0.771747 | + | 2.12036i | 0.0679485 | + | 0.186687i | ||||
\(130\) | 0.729089 | + | 3.37422i | 0.0639453 | + | 0.295938i | ||||
\(131\) | −4.45501 | − | 5.30927i | −0.389236 | − | 0.463873i | 0.535471 | − | 0.844554i | \(-0.320134\pi\) |
−0.924707 | + | 0.380680i | \(0.875690\pi\) | |||||||
\(132\) | 0.910392 | − | 0.160527i | 0.0792394 | − | 0.0139721i | ||||
\(133\) | 0.312087 | + | 1.76993i | 0.0270614 | + | 0.153473i | ||||
\(134\) | −5.06464 | − | 2.92407i | −0.437518 | − | 0.252601i | ||||
\(135\) | −7.76083 | − | 8.56115i | −0.667946 | − | 0.736827i | ||||
\(136\) | −0.768338 | − | 0.279652i | −0.0658845 | − | 0.0239800i | ||||
\(137\) | −5.53751 | + | 3.19708i | −0.473101 | + | 0.273145i | −0.717537 | − | 0.696520i | \(-0.754731\pi\) |
0.244436 | + | 0.969665i | \(0.421397\pi\) | |||||||
\(138\) | −4.26730 | − | 2.46372i | −0.363256 | − | 0.209726i | ||||
\(139\) | 6.69739 | − | 5.61978i | 0.568065 | − | 0.476663i | −0.312938 | − | 0.949774i | \(-0.601313\pi\) |
0.881003 | + | 0.473110i | \(0.156869\pi\) | |||||||
\(140\) | −0.910697 | − | 2.23239i | −0.0769680 | − | 0.188672i | ||||
\(141\) | −0.899967 | + | 5.10396i | −0.0757909 | + | 0.429831i | ||||
\(142\) | −10.8564 | −0.911045 | ||||||||
\(143\) | −0.233907 | + | 1.32655i | −0.0195603 | + | 0.110932i | ||||
\(144\) | 1.43822 | + | 1.20681i | 0.119852 | + | 0.100568i | ||||
\(145\) | −4.64801 | + | 1.00433i | −0.385996 | + | 0.0834048i | ||||
\(146\) | −3.60416 | + | 9.90235i | −0.298283 | + | 0.819525i | ||||
\(147\) | 6.18473i | 0.510108i | ||||||||
\(148\) | −6.07368 | − | 0.332312i | −0.499253 | − | 0.0273159i | ||||
\(149\) | 2.57942 | 0.211314 | 0.105657 | − | 0.994403i | \(-0.466305\pi\) | ||||
0.105657 | + | 0.994403i | \(0.466305\pi\) | |||||||
\(150\) | 3.08487 | − | 4.30662i | 0.251879 | − | 0.351634i | ||||
\(151\) | 20.9296 | − | 7.61777i | 1.70323 | − | 0.619925i | 0.707043 | − | 0.707171i | \(-0.250029\pi\) |
0.996187 | + | 0.0872457i | \(0.0278065\pi\) | |||||||
\(152\) | 1.07142 | − | 1.27687i | 0.0869036 | − | 0.103568i | ||||
\(153\) | −0.266568 | + | 1.51178i | −0.0215508 | + | 0.122220i | ||||
\(154\) | − | 0.940784i | − | 0.0758105i | ||||||
\(155\) | −1.49295 | + | 4.64799i | −0.119916 | + | 0.373335i | ||||
\(156\) | 1.41654 | − | 0.817837i | 0.113414 | − | 0.0654794i | ||||
\(157\) | 4.13022 | + | 4.92220i | 0.329627 | + | 0.392834i | 0.905249 | − | 0.424882i | \(-0.139684\pi\) |
−0.575622 | + | 0.817716i | \(0.695240\pi\) | |||||||
\(158\) | −4.27992 | − | 2.47101i | −0.340492 | − | 0.196583i | ||||
\(159\) | −2.64158 | − | 4.57536i | −0.209491 | − | 0.362850i | ||||
\(160\) | −1.04312 | + | 1.97785i | −0.0824659 | + | 0.156363i | ||||
\(161\) | −3.22331 | + | 3.84140i | −0.254033 | + | 0.302744i | ||||
\(162\) | 0.0786291 | − | 0.136190i | 0.00617769 | − | 0.0107001i | ||||
\(163\) | 0.526085 | + | 2.98357i | 0.0412061 | + | 0.233692i | 0.998454 | − | 0.0555758i | \(-0.0176994\pi\) |
−0.957248 | + | 0.289267i | \(0.906588\pi\) | |||||||
\(164\) | 0.288322 | + | 1.63516i | 0.0225142 | + | 0.127684i | ||||
\(165\) | 1.74931 | − | 1.10129i | 0.136183 | − | 0.0857354i | ||||
\(166\) | 1.38948 | + | 3.81756i | 0.107845 | + | 0.296300i | ||||
\(167\) | −0.265056 | + | 0.0964724i | −0.0205106 | + | 0.00746526i | −0.352255 | − | 0.935904i | \(-0.614585\pi\) |
0.331744 | + | 0.943369i | \(0.392363\pi\) | |||||||
\(168\) | −0.875120 | + | 0.734313i | −0.0675170 | + | 0.0566535i | ||||
\(169\) | −1.84356 | − | 10.4553i | −0.141812 | − | 0.804256i | ||||
\(170\) | −1.82698 | + | 0.0699565i | −0.140123 | + | 0.00536542i | ||||
\(171\) | −2.71015 | − | 1.56471i | −0.207251 | − | 0.119656i | ||||
\(172\) | −1.63146 | − | 1.36896i | −0.124398 | − | 0.104382i | ||||
\(173\) | −5.80274 | + | 15.9429i | −0.441174 | + | 1.21212i | 0.497546 | + | 0.867438i | \(0.334235\pi\) |
−0.938721 | + | 0.344679i | \(0.887988\pi\) | |||||||
\(174\) | 1.12658 | + | 1.95129i | 0.0854056 | + | 0.147927i | ||||
\(175\) | −3.77104 | − | 3.85279i | −0.285064 | − | 0.291244i | ||||
\(176\) | −0.668391 | + | 0.560847i | −0.0503819 | + | 0.0422754i | ||||
\(177\) | 5.82513 | + | 10.0894i | 0.437843 | + | 0.758367i | ||||
\(178\) | −15.0870 | − | 2.66025i | −1.13082 | − | 0.199394i | ||||
\(179\) | 14.3771i | 1.07459i | 0.843393 | + | 0.537297i | \(0.180554\pi\) | ||||
−0.843393 | + | 0.537297i | \(0.819446\pi\) | |||||||
\(180\) | 3.99701 | + | 1.28385i | 0.297919 | + | 0.0956926i | ||||
\(181\) | 11.8298 | + | 9.92638i | 0.879302 | + | 0.737822i | 0.966035 | − | 0.258410i | \(-0.0831985\pi\) |
−0.0867336 | + | 0.996232i | \(0.527643\pi\) | |||||||
\(182\) | −0.569327 | − | 1.56421i | −0.0422013 | − | 0.115947i | ||||
\(183\) | −1.89324 | − | 0.689083i | −0.139952 | − | 0.0509385i | ||||
\(184\) | 4.65074 | 0.342857 | ||||||||
\(185\) | −12.8557 | + | 4.44192i | −0.945171 | + | 0.326576i | ||||
\(186\) | 2.31314 | 0.169608 | ||||||||
\(187\) | −0.670392 | − | 0.244003i | −0.0490239 | − | 0.0178433i | ||||
\(188\) | −1.67304 | − | 4.59665i | −0.122019 | − | 0.335245i | ||||
\(189\) | 4.26837 | + | 3.58158i | 0.310478 | + | 0.260522i | ||||
\(190\) | 1.13982 | − | 3.54859i | 0.0826910 | − | 0.257442i | ||||
\(191\) | 3.30124i | 0.238869i | 0.992842 | + | 0.119435i | \(0.0381082\pi\) | ||||
−0.992842 | + | 0.119435i | \(0.961892\pi\) | |||||||
\(192\) | 1.04340 | + | 0.183980i | 0.0753011 | + | 0.0132776i | ||||
\(193\) | 5.47500 | + | 9.48298i | 0.394099 | + | 0.682600i | 0.992986 | − | 0.118234i | \(-0.0377232\pi\) |
−0.598886 | + | 0.800834i | \(0.704390\pi\) | |||||||
\(194\) | 8.45589 | − | 7.09534i | 0.607098 | − | 0.509416i | ||||
\(195\) | 2.24206 | − | 2.88970i | 0.160557 | − | 0.206935i | ||||
\(196\) | −2.91870 | − | 5.05535i | −0.208479 | − | 0.361096i | ||||
\(197\) | 6.48938 | − | 17.8294i | 0.462349 | − | 1.27029i | −0.461364 | − | 0.887211i | \(-0.652640\pi\) |
0.923714 | − | 0.383084i | \(-0.125138\pi\) | |||||||
\(198\) | 1.25488 | + | 1.05297i | 0.0891804 | + | 0.0748312i | ||||
\(199\) | 7.88126 | + | 4.55025i | 0.558688 | + | 0.322558i | 0.752619 | − | 0.658457i | \(-0.228790\pi\) |
−0.193931 | + | 0.981015i | \(0.562124\pi\) | |||||||
\(200\) | −0.489160 | + | 4.97601i | −0.0345888 | + | 0.351857i | ||||
\(201\) | 1.07594 | + | 6.10197i | 0.0758910 | + | 0.430399i | ||||
\(202\) | 1.97342 | − | 1.65590i | 0.138850 | − | 0.116509i | ||||
\(203\) | 2.15472 | − | 0.784252i | 0.151231 | − | 0.0550437i | ||||
\(204\) | 0.296291 | + | 0.814053i | 0.0207445 | + | 0.0569951i | ||||
\(205\) | 1.97803 | + | 3.14193i | 0.138152 | + | 0.219442i | ||||
\(206\) | 0.874653 | + | 4.96041i | 0.0609400 | + | 0.345608i | ||||
\(207\) | −1.51622 | − | 8.59894i | −0.105385 | − | 0.597667i | ||||
\(208\) | −0.771910 | + | 1.33699i | −0.0535223 | + | 0.0927034i | ||||
\(209\) | 0.934838 | − | 1.11410i | 0.0646641 | − | 0.0770636i | ||||
\(210\) | −1.19165 | + | 2.25948i | −0.0822315 | + | 0.155919i | ||||
\(211\) | 7.52679 | + | 13.0368i | 0.518165 | + | 0.897489i | 0.999777 | + | 0.0211041i | \(0.00671815\pi\) |
−0.481612 | + | 0.876385i | \(0.659949\pi\) | |||||||
\(212\) | 4.31842 | + | 2.49324i | 0.296590 | + | 0.171236i | ||||
\(213\) | 7.39353 | + | 8.81127i | 0.506596 | + | 0.603738i | ||||
\(214\) | 2.12365 | − | 1.22609i | 0.145170 | − | 0.0838137i | ||||
\(215\) | −4.53405 | − | 1.45635i | −0.309220 | − | 0.0993223i | ||||
\(216\) | − | 5.16766i | − | 0.351615i | ||||||
\(217\) | 0.408776 | − | 2.31828i | 0.0277495 | − | 0.157375i | ||||
\(218\) | 5.85619 | − | 6.97914i | 0.396631 | − | 0.472687i | ||||
\(219\) | 10.4915 | − | 3.81860i | 0.708952 | − | 0.258037i | ||||
\(220\) | −0.910145 | + | 1.72572i | −0.0613620 | + | 0.116348i | ||||
\(221\) | −1.26230 | −0.0849116 | ||||||||
\(222\) | 3.86666 | + | 5.15585i | 0.259513 | + | 0.346038i | ||||
\(223\) | − | 21.7384i | − | 1.45571i | −0.685730 | − | 0.727856i | \(-0.740517\pi\) | ||
0.685730 | − | 0.727856i | \(-0.259483\pi\) | |||||||
\(224\) | 0.368778 | − | 1.01321i | 0.0246400 | − | 0.0676979i | ||||
\(225\) | 9.35983 | − | 0.717843i | 0.623989 | − | 0.0478562i | ||||
\(226\) | 7.54341 | + | 6.32967i | 0.501780 | + | 0.421043i | ||||
\(227\) | −2.20438 | + | 12.5017i | −0.146310 | + | 0.829764i | 0.819996 | + | 0.572369i | \(0.193975\pi\) |
−0.966306 | + | 0.257395i | \(0.917136\pi\) | |||||||
\(228\) | −1.76601 | −0.116957 | ||||||||
\(229\) | −1.74813 | + | 9.91413i | −0.115520 | + | 0.655144i | 0.870972 | + | 0.491332i | \(0.163490\pi\) |
−0.986492 | + | 0.163812i | \(0.947621\pi\) | |||||||
\(230\) | 9.62896 | − | 3.92810i | 0.634915 | − | 0.259011i | ||||
\(231\) | −0.763562 | + | 0.640704i | −0.0502387 | + | 0.0421553i | ||||
\(232\) | −1.84171 | − | 1.06331i | −0.120914 | − | 0.0698099i | ||||
\(233\) | 6.64095 | − | 3.83415i | 0.435063 | − | 0.251184i | −0.266438 | − | 0.963852i | \(-0.585847\pi\) |
0.701501 | + | 0.712668i | \(0.252513\pi\) | |||||||
\(234\) | 2.72367 | + | 0.991333i | 0.178052 | + | 0.0648055i | ||||
\(235\) | −7.34632 | − | 8.10390i | −0.479221 | − | 0.528640i | ||||
\(236\) | −9.52283 | − | 5.49801i | −0.619883 | − | 0.357890i | ||||
\(237\) | 0.909234 | + | 5.15652i | 0.0590611 | + | 0.334952i | ||||
\(238\) | 0.868223 | − | 0.153091i | 0.0562786 | − | 0.00992343i | ||||
\(239\) | −4.23812 | − | 5.05080i | −0.274141 | − | 0.326709i | 0.611354 | − | 0.791357i | \(-0.290625\pi\) |
−0.885495 | + | 0.464648i | \(0.846181\pi\) | |||||||
\(240\) | 2.31567 | − | 0.500362i | 0.149476 | − | 0.0322982i | ||||
\(241\) | −9.22443 | − | 25.3439i | −0.594197 | − | 1.63254i | −0.762633 | − | 0.646832i | \(-0.776094\pi\) |
0.168435 | − | 0.985713i | \(-0.446129\pi\) | |||||||
\(242\) | 7.84330 | − | 6.58131i | 0.504187 | − | 0.423063i | ||||
\(243\) | −15.4316 | + | 2.72100i | −0.989934 | + | 0.174552i | ||||
\(244\) | 1.87271 | − | 0.330210i | 0.119888 | − | 0.0211395i | ||||
\(245\) | −10.3128 | − | 8.00147i | −0.658859 | − | 0.511195i | ||||
\(246\) | 1.13077 | − | 1.34760i | 0.0720955 | − | 0.0859201i | ||||
\(247\) | 0.880117 | − | 2.41810i | 0.0560005 | − | 0.153860i | ||||
\(248\) | −1.89074 | + | 1.09162i | −0.120062 | + | 0.0693179i | ||||
\(249\) | 2.15214 | − | 3.72762i | 0.136386 | − | 0.236228i | ||||
\(250\) | 3.19007 | + | 10.7156i | 0.201758 | + | 0.677712i | ||||
\(251\) | 4.49165 | − | 2.59325i | 0.283510 | − | 0.163685i | −0.351501 | − | 0.936187i | \(-0.614329\pi\) |
0.635011 | + | 0.772503i | \(0.280995\pi\) | |||||||
\(252\) | −1.99359 | − | 0.351524i | −0.125584 | − | 0.0221439i | ||||
\(253\) | 4.05787 | 0.255116 | ||||||||
\(254\) | 17.5015 | + | 3.08598i | 1.09814 | + | 0.193631i | ||||
\(255\) | 1.30101 | + | 1.43517i | 0.0814724 | + | 0.0898741i | ||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | −19.8471 | − | 7.22375i | −1.23803 | − | 0.450605i | −0.361689 | − | 0.932299i | \(-0.617800\pi\) |
−0.876340 | + | 0.481694i | \(0.840022\pi\) | |||||||
\(258\) | 2.25644i | 0.140480i | ||||||||
\(259\) | 5.85063 | − | 2.96412i | 0.363540 | − | 0.184181i | ||||
\(260\) | −0.468930 | + | 3.42009i | −0.0290818 | + | 0.212105i | ||||
\(261\) | −1.36557 | + | 3.75187i | −0.0845267 | + | 0.232235i | ||||
\(262\) | −2.37046 | − | 6.51279i | −0.146448 | − | 0.402361i | ||||
\(263\) | 19.4723 | − | 23.2062i | 1.20072 | − | 1.43096i | 0.326654 | − | 0.945144i | \(-0.394079\pi\) |
0.874062 | − | 0.485814i | \(-0.161477\pi\) | |||||||
\(264\) | 0.910392 | + | 0.160527i | 0.0560307 | + | 0.00987973i | ||||
\(265\) | 11.0468 | + | 1.51463i | 0.678597 | + | 0.0930428i | ||||
\(266\) | −0.312087 | + | 1.76993i | −0.0191353 | + | 0.108522i | ||||
\(267\) | 8.11564 | + | 14.0567i | 0.496669 | + | 0.860256i | ||||
\(268\) | −3.75911 | − | 4.47994i | −0.229624 | − | 0.273656i | ||||
\(269\) | −4.54723 | + | 7.87603i | −0.277250 | + | 0.480210i | −0.970700 | − | 0.240294i | \(-0.922756\pi\) |
0.693451 | + | 0.720504i | \(0.256090\pi\) | |||||||
\(270\) | −4.36471 | − | 10.6992i | −0.265627 | − | 0.651133i | ||||
\(271\) | −12.8176 | − | 4.66521i | −0.778612 | − | 0.283391i | −0.0780180 | − | 0.996952i | \(-0.524859\pi\) |
−0.700594 | + | 0.713561i | \(0.747081\pi\) | |||||||
\(272\) | −0.626355 | − | 0.525574i | −0.0379784 | − | 0.0318676i | ||||
\(273\) | −0.881821 | + | 1.52736i | −0.0533702 | + | 0.0924399i | ||||
\(274\) | −6.29702 | + | 1.11033i | −0.380417 | + | 0.0670778i | ||||
\(275\) | −0.426803 | + | 4.34168i | −0.0257372 | + | 0.261813i | ||||
\(276\) | −3.16730 | − | 3.77465i | −0.190649 | − | 0.227207i | ||||
\(277\) | 22.5852 | − | 8.22034i | 1.35701 | − | 0.493913i | 0.441884 | − | 0.897072i | \(-0.354310\pi\) |
0.915130 | + | 0.403160i | \(0.132088\pi\) | |||||||
\(278\) | 8.21557 | − | 2.99022i | 0.492737 | − | 0.179342i | ||||
\(279\) | 2.63476 | + | 3.13998i | 0.157739 | + | 0.187986i | ||||
\(280\) | −0.0922517 | − | 2.40924i | −0.00551310 | − | 0.143980i | ||||
\(281\) | −9.23169 | + | 1.62780i | −0.550716 | + | 0.0971061i | −0.442080 | − | 0.896975i | \(-0.645759\pi\) |
−0.108636 | + | 0.994082i | \(0.534648\pi\) | |||||||
\(282\) | −2.59135 | + | 4.48835i | −0.154313 | + | 0.267277i | ||||
\(283\) | 8.38991 | + | 7.03997i | 0.498729 | + | 0.418483i | 0.857142 | − | 0.515080i | \(-0.172238\pi\) |
−0.358414 | + | 0.933563i | \(0.616682\pi\) | |||||||
\(284\) | −10.2016 | − | 3.71309i | −0.605356 | − | 0.220332i | ||||
\(285\) | −3.65637 | + | 1.49160i | −0.216584 | + | 0.0883549i | ||||
\(286\) | −0.673509 | + | 1.16655i | −0.0398254 | + | 0.0689796i | ||||
\(287\) | −1.15077 | − | 1.37144i | −0.0679279 | − | 0.0809533i | ||||
\(288\) | 0.938732 | + | 1.62593i | 0.0553153 | + | 0.0958089i | ||||
\(289\) | −2.83593 | + | 16.0833i | −0.166819 | + | 0.946079i | ||||
\(290\) | −4.71120 | − | 0.645955i | −0.276651 | − | 0.0379318i | ||||
\(291\) | −11.5175 | − | 2.03084i | −0.675166 | − | 0.119050i | ||||
\(292\) | −6.77361 | + | 8.07247i | −0.396395 | + | 0.472406i | ||||
\(293\) | 1.24458 | + | 3.41945i | 0.0727090 | + | 0.199766i | 0.970724 | − | 0.240199i | \(-0.0772128\pi\) |
−0.898015 | + | 0.439966i | \(0.854991\pi\) | |||||||
\(294\) | −2.11530 | + | 5.81174i | −0.123367 | + | 0.338948i | ||||
\(295\) | −24.3599 | − | 3.34000i | −1.41829 | − | 0.194462i | ||||
\(296\) | −5.59373 | − | 2.38959i | −0.325129 | − | 0.138892i | ||||
\(297\) | − | 4.50890i | − | 0.261633i | ||||||
\(298\) | 2.42386 | + | 0.882214i | 0.140411 | + | 0.0511053i | ||||
\(299\) | 6.74690 | − | 2.45567i | 0.390183 | − | 0.142015i | ||||
\(300\) | 4.37178 | − | 2.99181i | 0.252405 | − | 0.172732i | ||||
\(301\) | 2.26145 | + | 0.398755i | 0.130348 | + | 0.0229839i | ||||
\(302\) | 22.2729 | 1.28166 | ||||||||
\(303\) | −2.68793 | − | 0.473955i | −0.154418 | − | 0.0272280i | ||||
\(304\) | 1.44352 | − | 0.833416i | 0.0827915 | − | 0.0477997i | ||||
\(305\) | 3.59839 | − | 2.26540i | 0.206043 | − | 0.129716i | ||||
\(306\) | −0.767552 | + | 1.32944i | −0.0438781 | + | 0.0759990i | ||||
\(307\) | 0.732784 | − | 0.423073i | 0.0418222 | − | 0.0241461i | −0.478943 | − | 0.877846i | \(-0.658980\pi\) |
0.520765 | + | 0.853700i | \(0.325647\pi\) | |||||||
\(308\) | 0.321767 | − | 0.884048i | 0.0183344 | − | 0.0503733i | ||||
\(309\) | 3.43031 | − | 4.08809i | 0.195144 | − | 0.232563i | ||||
\(310\) | −2.99262 | + | 3.85706i | −0.169969 | + | 0.219066i | ||||
\(311\) | −12.8692 | + | 2.26918i | −0.729745 | + | 0.128674i | −0.526162 | − | 0.850384i | \(-0.676370\pi\) |
−0.203582 | + | 0.979058i | \(0.565258\pi\) | |||||||
\(312\) | 1.61083 | − | 0.284032i | 0.0911950 | − | 0.0160801i | ||||
\(313\) | 4.47117 | − | 3.75176i | 0.252726 | − | 0.212062i | −0.507619 | − | 0.861581i | \(-0.669474\pi\) |
0.760345 | + | 0.649520i | \(0.225030\pi\) | |||||||
\(314\) | 2.19764 | + | 6.03797i | 0.124020 | + | 0.340743i | ||||
\(315\) | −4.42447 | + | 0.956024i | −0.249290 | + | 0.0538658i | ||||
\(316\) | −3.17667 | − | 3.78581i | −0.178702 | − | 0.212968i | ||||
\(317\) | −18.3987 | + | 3.24419i | −1.03338 | + | 0.182212i | −0.664517 | − | 0.747273i | \(-0.731363\pi\) |
−0.368859 | + | 0.929485i | \(0.620252\pi\) | |||||||
\(318\) | −0.917413 | − | 5.20291i | −0.0514460 | − | 0.291764i | ||||
\(319\) | −1.60693 | − | 0.927764i | −0.0899710 | − | 0.0519448i | ||||
\(320\) | −1.65668 | + | 1.50181i | −0.0926111 | + | 0.0839535i | ||||
\(321\) | −2.44139 | − | 0.888595i | −0.136265 | − | 0.0495965i | ||||
\(322\) | −4.34276 | + | 2.50729i | −0.242013 | + | 0.139726i | ||||
\(323\) | 1.18029 | + | 0.681442i | 0.0656732 | + | 0.0379164i | ||||
\(324\) | 0.120467 | − | 0.101084i | 0.00669260 | − | 0.00561576i | ||||
\(325\) | 1.91779 | + | 7.47707i | 0.106380 | + | 0.414753i | ||||
\(326\) | −0.526085 | + | 2.98357i | −0.0291371 | + | 0.165245i | ||||
\(327\) | −9.65268 | −0.533795 | ||||||||
\(328\) | −0.288322 | + | 1.63516i | −0.0159199 | + | 0.0902865i | ||||
\(329\) | 4.04039 | + | 3.39029i | 0.222754 | + | 0.186913i | ||||
\(330\) | 2.02047 | − | 0.436577i | 0.111223 | − | 0.0240328i | ||||
\(331\) | 2.62689 | − | 7.21733i | 0.144387 | − | 0.396700i | −0.846327 | − | 0.532664i | \(-0.821191\pi\) |
0.990714 | + | 0.135964i | \(0.0434131\pi\) | |||||||
\(332\) | 4.06257i | 0.222962i | ||||||||
\(333\) | −2.59455 | + | 11.1215i | −0.142181 | + | 0.609456i | ||||
\(334\) | −0.282066 | −0.0154340 | ||||||||
\(335\) | −11.5668 | − | 6.10031i | −0.631960 | − | 0.333296i | ||||
\(336\) | −1.07349 | + | 0.390720i | −0.0585639 | + | 0.0213155i | ||||
\(337\) | 10.3303 | − | 12.3112i | 0.562728 | − | 0.670633i | −0.407394 | − | 0.913253i | \(-0.633562\pi\) |
0.970121 | + | 0.242620i | \(0.0780067\pi\) | |||||||
\(338\) | 1.84356 | − | 10.4553i | 0.100276 | − | 0.568695i | ||||
\(339\) | − | 10.4331i | − | 0.566649i | ||||||
\(340\) | −1.74072 | − | 0.559126i | −0.0944041 | − | 0.0303229i | ||||
\(341\) | −1.64971 | + | 0.952463i | −0.0893371 | + | 0.0515788i | ||||
\(342\) | −2.01155 | − | 2.39727i | −0.108772 | − | 0.129630i | ||||
\(343\) | 11.9873 | + | 6.92087i | 0.647253 | + | 0.373692i | ||||
\(344\) | −1.06486 | − | 1.84439i | −0.0574135 | − | 0.0994431i | ||||
\(345\) | −9.74577 | − | 5.13992i | −0.524695 | − | 0.276724i | ||||
\(346\) | −10.9056 | + | 12.9968i | −0.586288 | + | 0.698711i | ||||
\(347\) | −10.0777 | + | 17.4551i | −0.541001 | + | 0.937041i | 0.457846 | + | 0.889031i | \(0.348621\pi\) |
−0.998847 | + | 0.0480094i | \(0.984712\pi\) | |||||||
\(348\) | 0.391256 | + | 2.21892i | 0.0209735 | + | 0.118947i | ||||
\(349\) | −0.0949475 | − | 0.538474i | −0.00508242 | − | 0.0288239i | 0.982161 | − | 0.188042i | \(-0.0602140\pi\) |
−0.987244 | + | 0.159218i | \(0.949103\pi\) | |||||||
\(350\) | −2.22589 | − | 4.91021i | −0.118979 | − | 0.262462i | ||||
\(351\) | −2.72862 | − | 7.49681i | −0.145643 | − | 0.400150i | ||||
\(352\) | −0.819903 | + | 0.298420i | −0.0437010 | + | 0.0159059i | ||||
\(353\) | −9.42472 | + | 7.90828i | −0.501627 | + | 0.420915i | −0.858171 | − | 0.513363i | \(-0.828399\pi\) |
0.356544 | + | 0.934278i | \(0.383955\pi\) | |||||||
\(354\) | 2.02305 | + | 11.4733i | 0.107524 | + | 0.609797i | ||||
\(355\) | −24.2578 | + | 0.928849i | −1.28747 | + | 0.0492982i | ||||
\(356\) | −13.2673 | − | 7.65989i | −0.703166 | − | 0.405973i | ||||
\(357\) | −0.715540 | − | 0.600410i | −0.0378704 | − | 0.0317771i | ||||
\(358\) | −4.91725 | + | 13.5100i | −0.259885 | + | 0.714028i | ||||
\(359\) | 13.2940 | + | 23.0258i | 0.701629 | + | 1.21526i | 0.967894 | + | 0.251358i | \(0.0808771\pi\) |
−0.266265 | + | 0.963900i | \(0.585790\pi\) | |||||||
\(360\) | 3.31686 | + | 2.57348i | 0.174814 | + | 0.135634i | ||||
\(361\) | 12.4265 | − | 10.4271i | 0.654027 | − | 0.548794i | ||||
\(362\) | 7.72135 | + | 13.3738i | 0.405825 | + | 0.702910i | ||||
\(363\) | −10.6831 | − | 1.88372i | −0.560717 | − | 0.0988695i | ||||
\(364\) | − | 1.66460i | − | 0.0872488i | ||||||
\(365\) | −7.20602 | + | 22.4345i | −0.377180 | + | 1.17427i | ||||
\(366\) | −1.54338 | − | 1.29505i | −0.0806739 | − | 0.0676935i | ||||
\(367\) | 3.36052 | + | 9.23295i | 0.175418 | + | 0.481956i | 0.995977 | − | 0.0896048i | \(-0.0285604\pi\) |
−0.820560 | + | 0.571561i | \(0.806338\pi\) | |||||||
\(368\) | 4.37026 | + | 1.59065i | 0.227816 | + | 0.0829182i | ||||
\(369\) | 3.11731 | 0.162280 | ||||||||
\(370\) | −13.5996 | − | 0.222876i | −0.707012 | − | 0.0115867i | ||||
\(371\) | −5.37660 | −0.279139 | ||||||||
\(372\) | 2.17364 | + | 0.791140i | 0.112698 | + | 0.0410187i | ||||
\(373\) | −8.97241 | − | 24.6515i | −0.464574 | − | 1.27641i | −0.922011 | − | 0.387164i | \(-0.873455\pi\) |
0.457437 | − | 0.889242i | \(-0.348767\pi\) | |||||||
\(374\) | −0.546509 | − | 0.458575i | −0.0282593 | − | 0.0237124i | ||||
\(375\) | 6.52446 | − | 9.88678i | 0.336922 | − | 0.510551i | ||||
\(376\) | − | 4.89166i | − | 0.252268i | ||||||
\(377\) | −3.23325 | − | 0.570109i | −0.166521 | − | 0.0293621i | ||||
\(378\) | 2.78598 | + | 4.82545i | 0.143295 | + | 0.248195i | ||||
\(379\) | −3.82454 | + | 3.20917i | −0.196453 | + | 0.164844i | −0.735708 | − | 0.677299i | \(-0.763150\pi\) |
0.539255 | + | 0.842143i | \(0.318706\pi\) | |||||||
\(380\) | 2.28477 | − | 2.94474i | 0.117206 | − | 0.151062i | ||||
\(381\) | −9.41440 | − | 16.3062i | −0.482315 | − | 0.835393i | ||||
\(382\) | −1.12909 | + | 3.10215i | −0.0577692 | + | 0.158720i | ||||
\(383\) | −24.8001 | − | 20.8097i | −1.26722 | − | 1.06333i | −0.994873 | − | 0.101130i | \(-0.967754\pi\) |
−0.272351 | − | 0.962198i | \(-0.587801\pi\) | |||||||
\(384\) | 0.917552 | + | 0.529749i | 0.0468237 | + | 0.0270336i | ||||
\(385\) | −0.0804917 | − | 2.10212i | −0.00410224 | − | 0.107134i | ||||
\(386\) | 1.90145 | + | 10.7837i | 0.0967812 | + | 0.548873i | ||||
\(387\) | −3.06301 | + | 2.57017i | −0.155702 | + | 0.130649i | ||||
\(388\) | 10.3727 | − | 3.77535i | 0.526594 | − | 0.191664i | ||||
\(389\) | −6.55864 | − | 18.0197i | −0.332536 | − | 0.913636i | −0.987450 | − | 0.157932i | \(-0.949517\pi\) |
0.654914 | − | 0.755704i | \(-0.272705\pi\) | |||||||
\(390\) | 3.09518 | − | 1.94860i | 0.156730 | − | 0.0986710i | ||||
\(391\) | 0.660327 | + | 3.74490i | 0.0333941 | + | 0.189388i | ||||
\(392\) | −1.01366 | − | 5.74873i | −0.0511973 | − | 0.290355i | ||||
\(393\) | −3.67157 | + | 6.35934i | −0.185206 | + | 0.320786i | ||||
\(394\) | 12.1961 | − | 14.5347i | 0.614428 | − | 0.732247i | ||||
\(395\) | −9.77460 | − | 5.15512i | −0.491813 | − | 0.259382i | ||||
\(396\) | 0.819064 | + | 1.41866i | 0.0411595 | + | 0.0712904i | ||||
\(397\) | −28.7635 | − | 16.6066i | −1.44360 | − | 0.833461i | −0.445510 | − | 0.895277i | \(-0.646978\pi\) |
−0.998088 | + | 0.0618156i | \(0.980311\pi\) | |||||||
\(398\) | 5.84969 | + | 6.97138i | 0.293218 | + | 0.349444i | ||||
\(399\) | 1.64906 | − | 0.952085i | 0.0825562 | − | 0.0476639i | ||||
\(400\) | −2.16156 | + | 4.50862i | −0.108078 | + | 0.225431i | ||||
\(401\) | 6.78294i | 0.338724i | 0.985554 | + | 0.169362i | \(0.0541707\pi\) | ||||
−0.985554 | + | 0.169362i | \(0.945829\pi\) | |||||||
\(402\) | −1.07594 | + | 6.10197i | −0.0536631 | + | 0.304338i | ||||
\(403\) | −2.16653 | + | 2.58198i | −0.107923 | + | 0.128617i | ||||
\(404\) | 2.42076 | − | 0.881086i | 0.120437 | − | 0.0438357i | ||||
\(405\) | 0.164039 | − | 0.311034i | 0.00815117 | − | 0.0154554i | ||||
\(406\) | 2.29300 | 0.113800 | ||||||||
\(407\) | −4.88066 | − | 2.08497i | −0.241925 | − | 0.103348i | ||||
\(408\) | 0.866297i | 0.0428881i | ||||||||
\(409\) | −3.95396 | + | 10.8634i | −0.195511 | + | 0.537161i | −0.998248 | − | 0.0591720i | \(-0.981154\pi\) |
0.802737 | + | 0.596333i | \(0.203376\pi\) | |||||||
\(410\) | 0.784137 | + | 3.62898i | 0.0387258 | + | 0.179222i | ||||
\(411\) | 5.18965 | + | 4.35463i | 0.255986 | + | 0.214798i | ||||
\(412\) | −0.874653 | + | 4.96041i | −0.0430911 | + | 0.244382i | ||||
\(413\) | 11.8563 | 0.583410 | ||||||||
\(414\) | 1.51622 | − | 8.59894i | 0.0745184 | − | 0.422615i | ||||
\(415\) | 3.43132 | + | 8.41120i | 0.168437 | + | 0.412889i | ||||
\(416\) | −1.18263 | + | 0.992348i | −0.0579834 | + | 0.0486539i | ||||
\(417\) | −8.02200 | − | 4.63150i | −0.392839 | − | 0.226806i | ||||
\(418\) | 1.25950 | − | 0.727174i | 0.0616043 | − | 0.0355673i | ||||
\(419\) | 16.0572 | + | 5.84436i | 0.784448 | + | 0.285516i | 0.703026 | − | 0.711164i | \(-0.251832\pi\) |
0.0814217 | + | 0.996680i | \(0.474054\pi\) | |||||||
\(420\) | −1.89257 | + | 1.71564i | −0.0923479 | + | 0.0837149i | ||||
\(421\) | 1.95703 | + | 1.12989i | 0.0953798 | + | 0.0550675i | 0.546931 | − | 0.837178i | \(-0.315796\pi\) |
−0.451551 | + | 0.892245i | \(0.649129\pi\) | |||||||
\(422\) | 2.61403 | + | 14.8249i | 0.127249 | + | 0.721664i | ||||
\(423\) | −9.04438 | + | 1.59477i | −0.439753 | + | 0.0775403i | ||||
\(424\) | 3.20525 | + | 3.81987i | 0.155661 | + | 0.185509i | ||||
\(425\) | −4.07627 | + | 0.312626i | −0.197728 | + | 0.0151646i | ||||
\(426\) | 3.93402 | + | 10.8086i | 0.190604 | + | 0.523679i | ||||
\(427\) | −1.57068 | + | 1.31795i | −0.0760104 | + | 0.0637803i | ||||
\(428\) | 2.41492 | − | 0.425816i | 0.116730 | − | 0.0205826i | ||||
\(429\) | 1.40548 | − | 0.247824i | 0.0678573 | − | 0.0119651i | ||||
\(430\) | −3.76251 | − | 2.91926i | −0.181445 | − | 0.140779i | ||||
\(431\) | −9.25962 | + | 11.0352i | −0.446020 | + | 0.531546i | −0.941473 | − | 0.337089i | \(-0.890558\pi\) |
0.495453 | + | 0.868635i | \(0.335002\pi\) | |||||||
\(432\) | 1.76745 | − | 4.85602i | 0.0850362 | − | 0.233635i | ||||
\(433\) | −8.73101 | + | 5.04085i | −0.419586 | + | 0.242248i | −0.694900 | − | 0.719106i | \(-0.744551\pi\) |
0.275314 | + | 0.961354i | \(0.411218\pi\) | |||||||
\(434\) | 1.17702 | − | 2.03866i | 0.0564989 | − | 0.0978590i | ||||
\(435\) | 2.68421 | + | 4.26363i | 0.128698 | + | 0.204426i | ||||
\(436\) | 7.89003 | − | 4.55531i | 0.377864 | − | 0.218160i | ||||
\(437\) | −7.63423 | − | 1.34612i | −0.365195 | − | 0.0643937i | ||||
\(438\) | 11.1648 | 0.533477 | ||||||||
\(439\) | −9.15624 | − | 1.61449i | −0.437003 | − | 0.0770555i | −0.0491815 | − | 0.998790i | \(-0.515661\pi\) |
−0.387822 | + | 0.921734i | \(0.626772\pi\) | |||||||
\(440\) | −1.44549 | + | 1.31036i | −0.0689109 | + | 0.0624689i | ||||
\(441\) | −10.2986 | + | 3.74838i | −0.490409 | + | 0.178494i | ||||
\(442\) | −1.18618 | − | 0.431733i | −0.0564206 | − | 0.0205354i | ||||
\(443\) | 35.7351i | 1.69783i | 0.528531 | + | 0.848914i | \(0.322743\pi\) | ||||
−0.528531 | + | 0.848914i | \(0.677257\pi\) | |||||||
\(444\) | 1.87007 | + | 6.16739i | 0.0887494 | + | 0.292691i | ||||
\(445\) | −33.9385 | − | 4.65333i | −1.60884 | − | 0.220589i | ||||
\(446\) | 7.43498 | − | 20.4274i | 0.352056 | − | 0.967267i | ||||
\(447\) | −0.934704 | − | 2.56808i | −0.0442100 | − | 0.121466i | ||||
\(448\) | 0.693076 | − | 0.825976i | 0.0327448 | − | 0.0390237i | ||||
\(449\) | 18.1541 | + | 3.20105i | 0.856743 | + | 0.151067i | 0.584731 | − | 0.811227i | \(-0.301200\pi\) |
0.272012 | + | 0.962294i | \(0.412311\pi\) | |||||||
\(450\) | 9.04088 | + | 2.52670i | 0.426191 | + | 0.119110i | ||||
\(451\) | −0.251568 | + | 1.42671i | −0.0118459 | + | 0.0671812i | ||||
\(452\) | 4.92361 | + | 8.52794i | 0.231587 | + | 0.401121i | ||||
\(453\) | −15.1685 | − | 18.0772i | −0.712680 | − | 0.849339i | ||||
\(454\) | −6.34726 | + | 10.9938i | −0.297891 | + | 0.515963i | ||||
\(455\) | −1.40595 | − | 3.44641i | −0.0659121 | − | 0.161570i | ||||
\(456\) | −1.65950 | − | 0.604010i | −0.0777134 | − | 0.0282853i | ||||
\(457\) | −25.8346 | − | 21.6778i | −1.20849 | − | 1.01404i | −0.999346 | − | 0.0361587i | \(-0.988488\pi\) |
−0.209144 | − | 0.977885i | \(-0.567068\pi\) | |||||||
\(458\) | −5.03353 | + | 8.71834i | −0.235202 | + | 0.407381i | ||||
\(459\) | 4.16114 | − | 0.733721i | 0.194225 | − | 0.0342472i | ||||
\(460\) | 10.3918 | − | 0.397908i | 0.484518 | − | 0.0185526i | ||||
\(461\) | 19.5455 | + | 23.2934i | 0.910323 | + | 1.08488i | 0.996071 | + | 0.0885633i | \(0.0282276\pi\) |
−0.0857480 | + | 0.996317i | \(0.527328\pi\) | |||||||
\(462\) | −0.936647 | + | 0.340912i | −0.0435768 | + | 0.0158606i | ||||
\(463\) | 31.3726 | − | 11.4187i | 1.45801 | − | 0.530672i | 0.513194 | − | 0.858273i | \(-0.328462\pi\) |
0.944816 | + | 0.327600i | \(0.106240\pi\) | |||||||
\(464\) | −1.36697 | − | 1.62909i | −0.0634599 | − | 0.0756286i | ||||
\(465\) | 5.16855 | − | 0.197908i | 0.239686 | − | 0.00917776i | ||||
\(466\) | 7.55181 | − | 1.33159i | 0.349831 | − | 0.0616846i | ||||
\(467\) | −9.94276 | + | 17.2214i | −0.460096 | + | 0.796910i | −0.998965 | − | 0.0454795i | \(-0.985518\pi\) |
0.538869 | + | 0.842390i | \(0.318852\pi\) | |||||||
\(468\) | 2.22035 | + | 1.86310i | 0.102636 | + | 0.0861217i | ||||
\(469\) | 5.92539 | + | 2.15667i | 0.273609 | + | 0.0995856i | ||||
\(470\) | −4.13158 | − | 10.1278i | −0.190576 | − | 0.467159i | ||||
\(471\) | 3.40389 | − | 5.89571i | 0.156843 | − | 0.271660i | ||||
\(472\) | −7.06810 | − | 8.42343i | −0.325336 | − | 0.387720i | ||||
\(473\) | −0.929115 | − | 1.60928i | −0.0427208 | − | 0.0739946i | ||||
\(474\) | −0.909234 | + | 5.15652i | −0.0417625 | + | 0.236847i | ||||
\(475\) | 2.24323 | − | 8.02659i | 0.102926 | − | 0.368285i | ||||
\(476\) | 0.868223 | + | 0.153091i | 0.0397949 | + | 0.00701692i | ||||
\(477\) | 6.01774 | − | 7.17166i | 0.275533 | − | 0.328368i | ||||
\(478\) | −2.25506 | − | 6.19572i | −0.103144 | − | 0.283386i | ||||
\(479\) | 7.41314 | − | 20.3674i | 0.338715 | − | 0.930612i | −0.647045 | − | 0.762452i | \(-0.723995\pi\) |
0.985760 | − | 0.168160i | \(-0.0537824\pi\) | |||||||
\(480\) | 2.34715 | + | 0.321819i | 0.107132 | + | 0.0146890i | ||||
\(481\) | −9.37667 | − | 0.513030i | −0.427539 | − | 0.0233921i | ||||
\(482\) | − | 26.9704i | − | 1.22847i | ||||||
\(483\) | 4.99254 | + | 1.81713i | 0.227168 | + | 0.0826825i | ||||
\(484\) | 9.62124 | − | 3.50184i | 0.437329 | − | 0.159175i | ||||
\(485\) | 18.2870 | − | 16.5775i | 0.830372 | − | 0.752746i | ||||
\(486\) | −15.4316 | − | 2.72100i | −0.699989 | − | 0.123427i | ||||
\(487\) | 36.5419 | 1.65587 | 0.827937 | − | 0.560822i | \(-0.189515\pi\) | ||||
0.827937 | + | 0.560822i | \(0.189515\pi\) | |||||||
\(488\) | 1.87271 | + | 0.330210i | 0.0847737 | + | 0.0149479i | ||||
\(489\) | 2.77982 | − | 1.60493i | 0.125708 | − | 0.0725774i | ||||
\(490\) | −6.95417 | − | 11.0461i | −0.314157 | − | 0.499012i | ||||
\(491\) | 11.9230 | − | 20.6513i | 0.538078 | − | 0.931979i | −0.460929 | − | 0.887437i | \(-0.652484\pi\) |
0.999008 | − | 0.0445419i | \(-0.0141828\pi\) | |||||||
\(492\) | 1.52349 | − | 0.879586i | 0.0686841 | − | 0.0396548i | ||||
\(493\) | 0.594715 | − | 1.63397i | 0.0267846 | − | 0.0735902i | ||||
\(494\) | 1.65408 | − | 1.97125i | 0.0744205 | − | 0.0886909i | ||||
\(495\) | 2.89403 | + | 2.24542i | 0.130077 | + | 0.100924i | ||||
\(496\) | −2.15007 | + | 0.379116i | −0.0965411 | + | 0.0170228i | ||||
\(497\) | 11.5279 | − | 2.03267i | 0.517095 | − | 0.0911779i | ||||
\(498\) | 3.29727 | − | 2.76674i | 0.147754 | − | 0.123981i | ||||
\(499\) | 12.9665 | + | 35.6251i | 0.580458 | + | 1.59480i | 0.787399 | + | 0.616443i | \(0.211427\pi\) |
−0.206941 | + | 0.978353i | \(0.566351\pi\) | |||||||
\(500\) | −0.667256 | + | 11.1604i | −0.0298406 | + | 0.499109i | ||||
\(501\) | 0.192096 | + | 0.228932i | 0.00858223 | + | 0.0102279i | ||||
\(502\) | 5.10771 | − | 0.900627i | 0.227968 | − | 0.0401970i | ||||
\(503\) | −6.98751 | − | 39.6282i | −0.311558 | − | 1.76693i | −0.590904 | − | 0.806742i | \(-0.701229\pi\) |
0.279346 | − | 0.960191i | \(-0.409882\pi\) | |||||||
\(504\) | −1.75314 | − | 1.01217i | −0.0780909 | − | 0.0450858i | ||||
\(505\) | 4.26780 | − | 3.86883i | 0.189915 | − | 0.172161i | ||||
\(506\) | 3.81315 | + | 1.38787i | 0.169515 | + | 0.0616985i | ||||
\(507\) | −9.74131 | + | 5.62415i | −0.432627 | + | 0.249777i | ||||
\(508\) | 15.3905 | + | 8.88572i | 0.682844 | + | 0.394240i | ||||
\(509\) | 15.7389 | − | 13.2065i | 0.697617 | − | 0.585370i | −0.223478 | − | 0.974709i | \(-0.571741\pi\) |
0.921094 | + | 0.389339i | \(0.127297\pi\) | |||||||
\(510\) | 0.731691 | + | 1.79359i | 0.0323998 | + | 0.0794217i | ||||
\(511\) | 1.97304 | − | 11.1897i | 0.0872822 | − | 0.495002i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −1.49574 | + | 8.48277i | −0.0660386 | + | 0.374523i | ||||
\(514\) | −16.1795 | − | 13.5762i | −0.713647 | − | 0.598821i | ||||
\(515\) | 2.37876 | + | 11.0088i | 0.104820 | + | 0.485108i | ||||
\(516\) | −0.771747 | + | 2.12036i | −0.0339743 | + | 0.0933435i | ||||
\(517\) | − | 4.26808i | − | 0.187710i | ||||||
\(518\) | 6.51158 | − | 0.784329i | 0.286102 | − | 0.0344615i | ||||
\(519\) | 17.9755 | 0.789039 | ||||||||
\(520\) | −1.61039 | + | 3.05345i | −0.0706202 | + | 0.133903i | ||||
\(521\) | −7.39970 | + | 2.69327i | −0.324187 | + | 0.117994i | −0.498987 | − | 0.866610i | \(-0.666294\pi\) |
0.174800 | + | 0.984604i | \(0.444072\pi\) | |||||||
\(522\) | −2.56643 | + | 3.05855i | −0.112330 | + | 0.133869i | ||||
\(523\) | −2.06053 | + | 11.6858i | −0.0901006 | + | 0.510986i | 0.906038 | + | 0.423196i | \(0.139092\pi\) |
−0.996139 | + | 0.0877905i | \(0.972019\pi\) | |||||||
\(524\) | − | 6.93076i | − | 0.302772i | ||||||
\(525\) | −2.46934 | + | 5.15060i | −0.107771 | + | 0.224790i | ||||
\(526\) | 26.2350 | − | 15.1468i | 1.14390 | − | 0.660432i | ||||
\(527\) | −1.14745 | − | 1.36748i | −0.0499839 | − | 0.0595685i | ||||
\(528\) | 0.800585 | + | 0.462218i | 0.0348410 | + | 0.0201155i | ||||
\(529\) | 0.685317 | + | 1.18700i | 0.0297964 | + | 0.0516089i | ||||
\(530\) | 9.86253 | + | 5.20150i | 0.428401 | + | 0.225939i | ||||
\(531\) | −13.2701 | + | 15.8147i | −0.575873 | + | 0.686299i | ||||
\(532\) | −0.898618 | + | 1.55645i | −0.0389601 | + | 0.0674808i | ||||
\(533\) | 0.445118 | + | 2.52439i | 0.0192802 | + | 0.109343i | ||||
\(534\) | 2.81853 | + | 15.9847i | 0.121970 | + | 0.691725i | ||||
\(535\) | 4.64024 | − | 2.92130i | 0.200615 | − | 0.126299i | ||||
\(536\) | −2.00018 | − | 5.49546i | −0.0863947 | − | 0.237368i | ||||
\(537\) | 14.3139 | − | 5.20982i | 0.617689 | − | 0.224820i | ||||
\(538\) | −6.96676 | + | 5.84581i | −0.300358 | + | 0.252031i | ||||
\(539\) | −0.884437 | − | 5.01589i | −0.0380954 | − | 0.216050i | ||||
\(540\) | −0.442136 | − | 11.5468i | −0.0190265 | − | 0.496895i | ||||
\(541\) | 36.1647 | + | 20.8797i | 1.55484 | + | 0.897689i | 0.997736 | + | 0.0672476i | \(0.0214217\pi\) |
0.557106 | + | 0.830441i | \(0.311912\pi\) | |||||||
\(542\) | −10.4490 | − | 8.76773i | −0.448822 | − | 0.376606i | ||||
\(543\) | 5.59597 | − | 15.3748i | 0.240146 | − | 0.659796i | ||||
\(544\) | −0.408824 | − | 0.708104i | −0.0175282 | − | 0.0303597i | ||||
\(545\) | 12.4881 | − | 16.0954i | 0.534933 | − | 0.689453i | ||||
\(546\) | −1.35103 | + | 1.13365i | −0.0578186 | + | 0.0485156i | ||||
\(547\) | 21.5669 | + | 37.3550i | 0.922135 | + | 1.59718i | 0.796105 | + | 0.605158i | \(0.206890\pi\) |
0.126030 | + | 0.992026i | \(0.459777\pi\) | |||||||
\(548\) | −6.29702 | − | 1.11033i | −0.268995 | − | 0.0474311i | ||||
\(549\) | − | 3.57019i | − | 0.152372i | ||||||
\(550\) | −1.88601 | + | 3.93387i | −0.0804196 | + | 0.167741i | ||||
\(551\) | 2.71542 | + | 2.27851i | 0.115681 | + | 0.0970677i | ||||
\(552\) | −1.68529 | − | 4.63029i | −0.0717306 | − | 0.197078i | ||||
\(553\) | 5.00731 | + | 1.82251i | 0.212932 | + | 0.0775010i | ||||
\(554\) | 24.0347 | 1.02114 | ||||||||
\(555\) | 9.08091 | + | 11.1896i | 0.385463 | + | 0.474971i | ||||
\(556\) | 8.74282 | 0.370778 | ||||||||
\(557\) | −25.8419 | − | 9.40569i | −1.09496 | − | 0.398532i | −0.269502 | − | 0.963000i | \(-0.586859\pi\) |
−0.825455 | + | 0.564468i | \(0.809081\pi\) | |||||||
\(558\) | 1.40192 | + | 3.85176i | 0.0593482 | + | 0.163058i | ||||
\(559\) | −2.51868 | − | 2.11343i | −0.106529 | − | 0.0893884i | ||||
\(560\) | 0.737321 | − | 2.29550i | 0.0311575 | − | 0.0970025i | ||||
\(561\) | 0.755864i | 0.0319126i | ||||||||
\(562\) | −9.23169 | − | 1.62780i | −0.389415 | − | 0.0686644i | ||||
\(563\) | 14.0675 | + | 24.3656i | 0.592873 | + | 1.02689i | 0.993843 | + | 0.110795i | \(0.0353398\pi\) |
−0.400970 | + | 0.916091i | \(0.631327\pi\) | |||||||
\(564\) | −3.97018 | + | 3.33138i | −0.167175 | + | 0.140276i | ||||
\(565\) | 17.3968 | + | 13.4978i | 0.731888 | + | 0.567857i | ||||
\(566\) | 5.47613 | + | 9.48493i | 0.230179 | + | 0.398681i | ||||
\(567\) | −0.0579934 | + | 0.159336i | −0.00243549 | + | 0.00669146i | ||||
\(568\) | −8.31645 | − | 6.97833i | −0.348951 | − | 0.292804i | ||||
\(569\) | 31.5420 | + | 18.2108i | 1.32231 | + | 0.763437i | 0.984097 | − | 0.177633i | \(-0.0568439\pi\) |
0.338214 | + | 0.941069i | \(0.390177\pi\) | |||||||
\(570\) | −3.94602 | + | 0.151096i | −0.165281 | + | 0.00632872i | ||||
\(571\) | −2.64393 | − | 14.9945i | −0.110645 | − | 0.627499i | −0.988815 | − | 0.149150i | \(-0.952346\pi\) |
0.878170 | − | 0.478349i | \(-0.158765\pi\) | |||||||
\(572\) | −1.03188 | + | 0.865846i | −0.0431449 | + | 0.0362028i | ||||
\(573\) | 3.28672 | − | 1.19627i | 0.137305 | − | 0.0499748i | ||||
\(574\) | −0.612312 | − | 1.68231i | −0.0255574 | − | 0.0702185i | ||||
\(575\) | 21.1792 | − | 9.60090i | 0.883232 | − | 0.400385i | ||||
\(576\) | 0.326018 | + | 1.84894i | 0.0135841 | + | 0.0770392i | ||||
\(577\) | −4.51304 | − | 25.5947i | −0.187880 | − | 1.06552i | −0.922199 | − | 0.386716i | \(-0.873609\pi\) |
0.734318 | − | 0.678805i | \(-0.237502\pi\) | |||||||
\(578\) | −8.16573 | + | 14.1435i | −0.339649 | + | 0.588290i | ||||
\(579\) | 7.45731 | − | 8.88728i | 0.309915 | − | 0.369343i | ||||
\(580\) | −4.20615 | − | 2.21832i | −0.174651 | − | 0.0921109i | ||||
\(581\) | −2.19020 | − | 3.79354i | −0.0908648 | − | 0.157382i | ||||
\(582\) | −10.1283 | − | 5.84758i | −0.419831 | − | 0.242390i | ||||
\(583\) | 2.79665 | + | 3.33292i | 0.115825 | + | 0.138035i | ||||
\(584\) | −9.12606 | + | 5.26893i | −0.377639 | + | 0.218030i | ||||
\(585\) | 6.17066 | + | 1.98203i | 0.255125 | + | 0.0819470i | ||||
\(586\) | 3.63890i | 0.150322i | ||||||||
\(587\) | −7.24062 | + | 41.0636i | −0.298852 | + | 1.69488i | 0.352267 | + | 0.935900i | \(0.385411\pi\) |
−0.651119 | + | 0.758976i | \(0.725700\pi\) | |||||||
\(588\) | −3.97547 | + | 4.73777i | −0.163945 | + | 0.195383i | ||||
\(589\) | 3.41963 | − | 1.24464i | 0.140903 | − | 0.0512847i | ||||
\(590\) | −21.7485 | − | 11.4702i | −0.895371 | − | 0.472219i | ||||
\(591\) | −20.1026 | −0.826910 | ||||||||
\(592\) | −4.43910 | − | 4.15865i | −0.182446 | − | 0.170919i | ||||
\(593\) | − | 28.6164i | − | 1.17514i | −0.809175 | − | 0.587568i | \(-0.800085\pi\) | ||
0.809175 | − | 0.587568i | \(-0.199915\pi\) | |||||||
\(594\) | 1.54214 | − | 4.23698i | 0.0632746 | − | 0.173846i | ||||
\(595\) | 1.92689 | − | 0.416355i | 0.0789946 | − | 0.0170689i | ||||
\(596\) | 1.97595 | + | 1.65802i | 0.0809381 | + | 0.0679152i | ||||
\(597\) | 1.67431 | − | 9.49548i | 0.0685249 | − | 0.388624i | ||||
\(598\) | 7.17990 | 0.293608 | ||||||||
\(599\) | −4.18335 | + | 23.7249i | −0.170927 | + | 0.969375i | 0.771814 | + | 0.635849i | \(0.219350\pi\) |
−0.942741 | + | 0.333526i | \(0.891761\pi\) | |||||||
\(600\) | 5.13139 | − | 1.31615i | 0.209488 | − | 0.0537315i | ||||
\(601\) | 3.35161 | − | 2.81234i | 0.136715 | − | 0.114718i | −0.571866 | − | 0.820347i | \(-0.693780\pi\) |
0.708581 | + | 0.705630i | \(0.249336\pi\) | |||||||
\(602\) | 1.98869 | + | 1.14817i | 0.0810529 | + | 0.0467959i | ||||
\(603\) | −9.50868 | + | 5.48984i | −0.387223 | + | 0.223563i | ||||
\(604\) | 20.9296 | + | 7.61777i | 0.851615 | + | 0.309962i | ||||
\(605\) | 16.9622 | − | 15.3765i | 0.689613 | − | 0.625145i | ||||
\(606\) | −2.36373 | − | 1.36470i | −0.0960199 | − | 0.0554371i | ||||
\(607\) | 4.77849 | + | 27.1002i | 0.193953 | + | 1.09996i | 0.913902 | + | 0.405935i | \(0.133054\pi\) |
−0.719949 | + | 0.694027i | \(0.755835\pi\) | |||||||
\(608\) | 1.64151 | − | 0.289442i | 0.0665720 | − | 0.0117384i | ||||
\(609\) | −1.56161 | − | 1.86105i | −0.0632795 | − | 0.0754136i | ||||
\(610\) | 4.15619 | − | 0.898056i | 0.168279 | − | 0.0363612i | ||||
\(611\) | −2.58288 | − | 7.09640i | −0.104492 | − | 0.287090i | ||||
\(612\) | −1.17596 | + | 0.986746i | −0.0475353 | + | 0.0398869i | ||||
\(613\) | −17.8488 | + | 3.14722i | −0.720906 | + | 0.127115i | −0.522052 | − | 0.852914i | \(-0.674833\pi\) |
−0.198854 | + | 0.980029i | \(0.563722\pi\) | |||||||
\(614\) | 0.833291 | − | 0.146932i | 0.0336289 | − | 0.00592968i | ||||
\(615\) | 2.41134 | − | 3.10787i | 0.0972345 | − | 0.125322i | ||||
\(616\) | 0.604724 | − | 0.720682i | 0.0243650 | − | 0.0290371i | ||||
\(617\) | 3.72701 | − | 10.2399i | 0.150044 | − | 0.412242i | −0.841786 | − | 0.539812i | \(-0.818495\pi\) |
0.991830 | + | 0.127570i | \(0.0407176\pi\) | |||||||
\(618\) | 4.62165 | − | 2.66831i | 0.185910 | − | 0.107335i | ||||
\(619\) | −1.39499 | + | 2.41619i | −0.0560692 | + | 0.0971148i | −0.892698 | − | 0.450656i | \(-0.851190\pi\) |
0.836628 | + | 0.547771i | \(0.184523\pi\) | |||||||
\(620\) | −4.13133 | + | 2.60092i | −0.165918 | + | 0.104455i | ||||
\(621\) | −20.8136 | + | 12.0167i | −0.835220 | + | 0.482215i | ||||
\(622\) | −12.8692 | − | 2.26918i | −0.516007 | − | 0.0909860i | ||||
\(623\) | 16.5183 | 0.661792 | ||||||||
\(624\) | 1.61083 | + | 0.284032i | 0.0644846 | + | 0.0113704i | ||||
\(625\) | 8.04479 | + | 23.6703i | 0.321792 | + | 0.946810i | ||||
\(626\) | 5.48470 | − | 1.99627i | 0.219213 | − | 0.0797869i | ||||
\(627\) | −1.44795 | − | 0.527012i | −0.0578257 | − | 0.0210468i | ||||
\(628\) | 6.42548i | 0.256404i | ||||||||
\(629\) | 1.12995 | − | 4.84350i | 0.0450539 | − | 0.193123i | ||||
\(630\) | −4.48462 | − | 0.614888i | −0.178671 | − | 0.0244977i | ||||
\(631\) | 5.08822 | − | 13.9798i | 0.202559 | − | 0.556525i | −0.796268 | − | 0.604943i | \(-0.793196\pi\) |
0.998827 | + | 0.0484180i | \(0.0154180\pi\) | |||||||
\(632\) | −1.69027 | − | 4.64398i | −0.0672354 | − | 0.184728i | ||||
\(633\) | 10.2520 | − | 12.2178i | 0.407479 | − | 0.485615i | ||||
\(634\) | −18.3987 | − | 3.24419i | −0.730707 | − | 0.128843i | ||||
\(635\) | 39.3698 | + | 5.39801i | 1.56234 | + | 0.214214i | ||||
\(636\) | 0.917413 | − | 5.20291i | 0.0363778 | − | 0.206309i | ||||
\(637\) | −4.50595 | − | 7.80454i | −0.178532 | − | 0.309227i | ||||
\(638\) | −1.19271 | − | 1.42142i | −0.0472199 | − | 0.0562744i | ||||
\(639\) | −10.1912 | + | 17.6517i | −0.403158 | + | 0.698290i | ||||
\(640\) | −2.07042 | + | 0.844619i | −0.0818404 | + | 0.0333865i | ||||
\(641\) | −21.3389 | − | 7.76672i | −0.842835 | − | 0.306767i | −0.115720 | − | 0.993282i | \(-0.536917\pi\) |
−0.727116 | + | 0.686515i | \(0.759140\pi\) | |||||||
\(642\) | −1.99024 | − | 1.67001i | −0.0785486 | − | 0.0659101i | ||||
\(643\) | −14.1824 | + | 24.5646i | −0.559298 | + | 0.968733i | 0.438257 | + | 0.898850i | \(0.355596\pi\) |
−0.997555 | + | 0.0698834i | \(0.977737\pi\) | |||||||
\(644\) | −4.93840 | + | 0.870774i | −0.194600 | + | 0.0343133i | ||||
\(645\) | 0.193057 | + | 5.04185i | 0.00760159 | + | 0.198523i | ||||
\(646\) | 0.876044 | + | 1.04403i | 0.0344675 | + | 0.0410768i | ||||
\(647\) | 7.84861 | − | 2.85666i | 0.308561 | − | 0.112307i | −0.183099 | − | 0.983095i | \(-0.558613\pi\) |
0.491659 | + | 0.870788i | \(0.336391\pi\) | |||||||
\(648\) | 0.147774 | − | 0.0537855i | 0.00580513 | − | 0.00211289i | ||||
\(649\) | −6.16708 | − | 7.34964i | −0.242079 | − | 0.288498i | ||||
\(650\) | −0.755175 | + | 7.68207i | −0.0296204 | + | 0.301316i | ||||
\(651\) | −2.45622 | + | 0.433097i | −0.0962667 | + | 0.0169744i | ||||
\(652\) | −1.51480 | + | 2.62371i | −0.0593242 | + | 0.102752i | ||||
\(653\) | 9.84771 | + | 8.26321i | 0.385371 | + | 0.323364i | 0.814807 | − | 0.579733i | \(-0.196843\pi\) |
−0.429436 | + | 0.903097i | \(0.641288\pi\) | |||||||
\(654\) | −9.07056 | − | 3.30141i | −0.354687 | − | 0.129095i | ||||
\(655\) | −5.85385 | − | 14.3496i | −0.228729 | − | 0.560684i | ||||
\(656\) | −0.830191 | + | 1.43793i | −0.0324135 | + | 0.0561419i | ||||
\(657\) | 12.7172 | + | 15.1558i | 0.496145 | + | 0.591283i | ||||
\(658\) | 2.63718 | + | 4.56772i | 0.102808 | + | 0.178068i | ||||
\(659\) | 3.18898 | − | 18.0856i | 0.124225 | − | 0.704515i | −0.857540 | − | 0.514417i | \(-0.828008\pi\) |
0.981765 | − | 0.190098i | \(-0.0608805\pi\) | |||||||
\(660\) | 2.04794 | + | 0.280794i | 0.0797160 | + | 0.0109299i | ||||
\(661\) | −0.545303 | − | 0.0961516i | −0.0212098 | − | 0.00373987i | 0.163033 | − | 0.986621i | \(-0.447872\pi\) |
−0.184243 | + | 0.982881i | \(0.558983\pi\) | |||||||
\(662\) | 4.93694 | − | 5.88362i | 0.191880 | − | 0.228673i | ||||
\(663\) | 0.457420 | + | 1.25675i | 0.0177647 | + | 0.0488082i | ||||
\(664\) | −1.38948 | + | 3.81756i | −0.0539223 | + | 0.148150i | ||||
\(665\) | −0.545904 | + | 3.98149i | −0.0211693 | + | 0.154396i | ||||
\(666\) | −6.24187 | + | 9.56343i | −0.241868 | + | 0.370575i | ||||
\(667\) | 9.89037i | 0.382957i | ||||||||
\(668\) | −0.265056 | − | 0.0964724i | −0.0102553 | − | 0.00373263i | ||||
\(669\) | −21.6428 | + | 7.87735i | −0.836760 | + | 0.304556i | ||||
\(670\) | −8.78277 | − | 9.68849i | −0.339308 | − | 0.374299i | ||||
\(671\) | 1.63398 | + | 0.288115i | 0.0630792 | + | 0.0111226i | ||||
\(672\) | −1.14239 | −0.0440686 | ||||||||
\(673\) | −34.0710 | − | 6.00764i | −1.31334 | − | 0.231577i | −0.527261 | − | 0.849703i | \(-0.676781\pi\) |
−0.786079 | + | 0.618126i | \(0.787892\pi\) | |||||||
\(674\) | 13.9180 | − | 8.03556i | 0.536101 | − | 0.309518i | ||||
\(675\) | −10.6680 | − | 23.5332i | −0.410613 | − | 0.905794i | ||||
\(676\) | 5.30831 | − | 9.19426i | 0.204166 | − | 0.353625i | ||||
\(677\) | 25.8495 | − | 14.9242i | 0.993477 | − | 0.573584i | 0.0871652 | − | 0.996194i | \(-0.472219\pi\) |
0.906312 | + | 0.422610i | \(0.138886\pi\) | |||||||
\(678\) | 3.56834 | − | 9.80392i | 0.137041 | − | 0.376517i | ||||
\(679\) | −7.65044 | + | 9.11744i | −0.293597 | + | 0.349895i | ||||
\(680\) | −1.44451 | − | 1.12077i | −0.0553946 | − | 0.0429795i | ||||
\(681\) | 13.2455 | − | 2.33554i | 0.507568 | − | 0.0894979i | ||||
\(682\) | −1.87599 | + | 0.330787i | −0.0718352 | + | 0.0126665i | ||||
\(683\) | −23.6104 | + | 19.8115i | −0.903428 | + | 0.758066i | −0.970857 | − | 0.239658i | \(-0.922965\pi\) |
0.0674291 | + | 0.997724i | \(0.478520\pi\) | |||||||
\(684\) | −1.07032 | − | 2.94069i | −0.0409248 | − | 0.112440i | ||||
\(685\) | −13.9753 | + | 3.01973i | −0.533967 | + | 0.115378i | ||||
\(686\) | 8.89730 | + | 10.6034i | 0.339700 | + | 0.404839i | ||||
\(687\) | 10.5040 | − | 1.85214i | 0.400753 | − | 0.0706635i | ||||
\(688\) | −0.369822 | − | 2.09737i | −0.0140993 | − | 0.0799614i | ||||
\(689\) | 6.66686 | + | 3.84912i | 0.253987 | + | 0.146640i | ||||
\(690\) | −7.40007 | − | 8.16319i | −0.281716 | − | 0.310767i | ||||
\(691\) | 16.7698 | + | 6.10370i | 0.637952 | + | 0.232196i | 0.640689 | − | 0.767801i | \(-0.278649\pi\) |
−0.00273673 | + | 0.999996i | \(0.500871\pi\) | |||||||
\(692\) | −14.6931 | + | 8.48304i | −0.558546 | + | 0.322477i | ||||
\(693\) | −1.52965 | − | 0.883144i | −0.0581066 | − | 0.0335479i | ||||
\(694\) | −15.4400 | + | 12.9557i | −0.586093 | + | 0.491791i | ||||
\(695\) | 18.1013 | − | 7.38435i | 0.686620 | − | 0.280104i | ||||
\(696\) | −0.391256 | + | 2.21892i | −0.0148305 | + | 0.0841081i | ||||
\(697\) | −1.35761 | −0.0514231 | ||||||||
\(698\) | 0.0949475 | − | 0.538474i | 0.00359382 | − | 0.0203815i | ||||
\(699\) | −6.22378 | − | 5.22237i | −0.235405 | − | 0.197528i | ||||
\(700\) | −0.412260 | − | 5.37539i | −0.0155820 | − | 0.203171i | ||||
\(701\) | −3.08447 | + | 8.47452i | −0.116499 | + | 0.320078i | −0.984214 | − | 0.176984i | \(-0.943366\pi\) |
0.867715 | + | 0.497063i | \(0.165588\pi\) | |||||||
\(702\) | − | 7.97794i | − | 0.301108i | ||||||
\(703\) | 8.49052 | + | 5.54160i | 0.320226 | + | 0.209005i | ||||
\(704\) | −0.872522 | −0.0328844 | ||||||||
\(705\) | −5.40618 | + | 10.2506i | −0.203608 | + | 0.386061i | ||||
\(706\) | −11.5611 | + | 4.20791i | −0.435109 | + | 0.158367i | ||||
\(707\) | −1.78545 | + | 2.12781i | −0.0671487 | + | 0.0800247i | ||||
\(708\) | −2.02305 | + | 11.4733i | −0.0760307 | + | 0.431192i | ||||
\(709\) | − | 34.7424i | − | 1.30478i | −0.757884 | − | 0.652389i | \(-0.773767\pi\) | ||
0.757884 | − | 0.652389i | \(-0.226233\pi\) | |||||||
\(710\) | −23.1125 | − | 7.42381i | −0.867398 | − | 0.278611i | ||||
\(711\) | −8.03539 | + | 4.63924i | −0.301351 | + | 0.173985i | ||||
\(712\) | −9.84736 | − | 11.7356i | −0.369045 | − | 0.439811i | ||||
\(713\) | 8.79334 | + | 5.07684i | 0.329313 | + | 0.190129i | ||||
\(714\) | −0.467036 | − | 0.808930i | −0.0174784 | − | 0.0302734i | ||||
\(715\) | −1.40510 | + | 2.66420i | −0.0525478 | + | 0.0996355i | ||||
\(716\) | −9.24141 | + | 11.0135i | −0.345368 | + | 0.411593i | ||||
\(717\) | −3.49282 | + | 6.04974i | −0.130442 | + | 0.225932i | ||||
\(718\) | 4.61695 | + | 26.1840i | 0.172303 | + | 0.977179i | ||||
\(719\) | −7.62793 | − | 43.2601i | −0.284474 | − | 1.61333i | −0.707160 | − | 0.707054i | \(-0.750024\pi\) |
0.422686 | − | 0.906276i | \(-0.361087\pi\) | |||||||
\(720\) | 2.23664 | + | 3.55271i | 0.0833547 | + | 0.132402i | ||||
\(721\) | −1.85751 | − | 5.10346i | −0.0691772 | − | 0.190063i | ||||
\(722\) | 15.2434 | − | 5.54814i | 0.567300 | − | 0.206480i | ||||
\(723\) | −21.8898 | + | 18.3677i | −0.814091 | + | 0.683103i | ||||
\(724\) | 2.68160 | + | 15.2081i | 0.0996608 | + | 0.565204i | ||||
\(725\) | −10.5821 | − | 1.04026i | −0.393010 | − | 0.0386343i | ||||
\(726\) | −9.39455 | − | 5.42395i | −0.348664 | − | 0.201301i | ||||
\(727\) | 16.3714 | + | 13.7372i | 0.607180 | + | 0.509484i | 0.893744 | − | 0.448577i | \(-0.148069\pi\) |
−0.286565 | + | 0.958061i | \(0.592513\pi\) | |||||||
\(728\) | 0.569327 | − | 1.56421i | 0.0211007 | − | 0.0579736i | ||||
\(729\) | 8.06507 | + | 13.9691i | 0.298706 | + | 0.517375i | ||||
\(730\) | −14.4445 | + | 18.6169i | −0.534615 | + | 0.689043i | ||||
\(731\) | 1.33396 | − | 1.11933i | 0.0493384 | − | 0.0413998i | ||||
\(732\) | −1.00737 | − | 1.74482i | −0.0372335 | − | 0.0644904i | ||||
\(733\) | −49.0798 | − | 8.65409i | −1.81280 | − | 0.319646i | −0.838503 | − | 0.544897i | \(-0.816569\pi\) |
−0.974301 | + | 0.225251i | \(0.927680\pi\) | |||||||
\(734\) | 9.82550i | 0.362666i | ||||||||
\(735\) | −4.22925 | + | 13.1669i | −0.155998 | + | 0.485669i | ||||
\(736\) | 3.56267 | + | 2.98944i | 0.131322 | + | 0.110192i | ||||
\(737\) | −1.74520 | − | 4.79491i | −0.0642854 | − | 0.176623i | ||||
\(738\) | 2.92931 | + | 1.06618i | 0.107829 | + | 0.0392467i | ||||
\(739\) | −28.3679 | −1.04353 | −0.521765 | − | 0.853089i | \(-0.674726\pi\) | ||||
−0.521765 | + | 0.853089i | \(0.674726\pi\) | |||||||
\(740\) | −12.7033 | − | 4.86079i | −0.466981 | − | 0.178686i | ||||
\(741\) | −2.72640 | −0.100157 | ||||||||
\(742\) | −5.05235 | − | 1.83890i | −0.185478 | − | 0.0675083i | ||||
\(743\) | −14.5077 | − | 39.8595i | −0.532235 | − | 1.46230i | −0.856405 | − | 0.516305i | \(-0.827307\pi\) |
0.324170 | − | 0.945999i | \(-0.394915\pi\) | |||||||
\(744\) | 1.77197 | + | 1.48686i | 0.0649635 | + | 0.0545108i | ||||
\(745\) | 5.49144 | + | 1.76387i | 0.201191 | + | 0.0646230i | ||||
\(746\) | − | 26.2336i | − | 0.960479i | ||||||
\(747\) | 7.51144 | + | 1.32447i | 0.274829 | + | 0.0484598i | ||||
\(748\) | −0.356708 | − | 0.617837i | −0.0130425 | − | 0.0225904i | ||||
\(749\) | −2.02544 | + | 1.69954i | −0.0740079 | + | 0.0621000i | ||||
\(750\) | 9.51247 | − | 7.05904i | 0.347346 | − | 0.257760i | ||||
\(751\) | 13.4911 | + | 23.3673i | 0.492297 | + | 0.852683i | 0.999961 | − | 0.00887216i | \(-0.00282413\pi\) |
−0.507664 | + | 0.861555i | \(0.669491\pi\) | |||||||
\(752\) | 1.67304 | − | 4.59665i | 0.0610097 | − | 0.167623i | ||||
\(753\) | −4.20949 | − | 3.53218i | −0.153402 | − | 0.128720i | ||||
\(754\) | −2.84327 | − | 1.64156i | −0.103546 | − | 0.0597822i | ||||
\(755\) | 49.7671 | − | 1.90562i | 1.81121 | − | 0.0693527i | ||||
\(756\) | 0.967560 | + | 5.48730i | 0.0351898 | + | 0.199571i | ||||
\(757\) | 26.1873 | − | 21.9738i | 0.951795 | − | 0.798651i | −0.0278040 | − | 0.999613i | \(-0.508851\pi\) |
0.979599 | + | 0.200963i | \(0.0644070\pi\) | |||||||
\(758\) | −4.69149 | + | 1.70756i | −0.170403 | + | 0.0620215i | ||||
\(759\) | −1.47045 | − | 4.04003i | −0.0533740 | − | 0.146644i | ||||
\(760\) | 3.15414 | − | 1.98572i | 0.114413 | − | 0.0720295i | ||||
\(761\) | −2.73193 | − | 15.4935i | −0.0990322 | − | 0.561640i | −0.993437 | − | 0.114381i | \(-0.963511\pi\) |
0.894405 | − | 0.447259i | \(-0.147600\pi\) | |||||||
\(762\) | −3.26959 | − | 18.5428i | −0.118445 | − | 0.671733i | ||||
\(763\) | −4.91169 | + | 8.50730i | −0.177815 | + | 0.307985i | ||||
\(764\) | −2.12199 | + | 2.52889i | −0.0767710 | + | 0.0914922i | ||||
\(765\) | −1.60130 | + | 3.03621i | −0.0578951 | + | 0.109774i | ||||
\(766\) | −16.1871 | − | 28.0369i | −0.584864 | − | 1.01301i | ||||
\(767\) | −14.7015 | − | 8.48793i | −0.530841 | − | 0.306481i | ||||
\(768\) | 0.681032 | + | 0.811623i | 0.0245746 | + | 0.0292869i | ||||
\(769\) | −20.7470 | + | 11.9783i | −0.748157 | + | 0.431949i | −0.825028 | − | 0.565092i | \(-0.808841\pi\) |
0.0768704 | + | 0.997041i | \(0.475507\pi\) | |||||||
\(770\) | 0.643329 | − | 2.00287i | 0.0231840 | − | 0.0721785i | ||||
\(771\) | 22.3775i | 0.805906i | ||||||||
\(772\) | −1.90145 | + | 10.7837i | −0.0684346 | + | 0.388112i | ||||
\(773\) | 26.1595 | − | 31.1757i | 0.940892 | − | 1.12131i | −0.0515586 | − | 0.998670i | \(-0.516419\pi\) |
0.992451 | − | 0.122642i | \(-0.0391367\pi\) | |||||||
\(774\) | −3.75734 | + | 1.36756i | −0.135055 | + | 0.0491559i | ||||
\(775\) | −6.35679 | + | 8.87438i | −0.228343 | + | 0.318777i | ||||
\(776\) | 11.0384 | 0.396255 | ||||||||
\(777\) | −5.07118 | − | 4.75079i | −0.181927 | − | 0.170434i | ||||
\(778\) | − | 19.1762i | − | 0.687500i | ||||||
\(779\) | 0.946568 | − | 2.60067i | 0.0339143 | − | 0.0931788i | ||||
\(780\) | 3.57498 | − | 0.772469i | 0.128005 | − | 0.0276588i | ||||
\(781\) | −7.25629 | − | 6.08875i | −0.259650 | − | 0.217873i | ||||
\(782\) | −0.660327 | + | 3.74490i | −0.0236132 | + | 0.133917i | ||||
\(783\) | 10.9897 | 0.392739 | ||||||||
\(784\) | 1.01366 | − | 5.74873i | 0.0362020 | − | 0.205312i | ||||
\(785\) | 5.42708 | + | 13.3034i | 0.193701 | + | 0.474819i | ||||
\(786\) | −5.62517 | + | 4.72007i | −0.200643 | + | 0.168359i | ||||
\(787\) | 28.3359 | + | 16.3598i | 1.01007 | + | 0.583162i | 0.911211 | − | 0.411940i | \(-0.135149\pi\) |
0.0988555 | + | 0.995102i | \(0.468482\pi\) | |||||||
\(788\) | 16.4317 | − | 9.48684i | 0.585355 | − | 0.337955i | ||||
\(789\) | −30.1604 | − | 10.9775i | −1.07374 | − | 0.390809i | ||||
\(790\) | −7.42196 | − | 8.18734i | −0.264062 | − | 0.291293i | ||||
\(791\) | −9.19512 | − | 5.30881i | −0.326941 | − | 0.188759i | ||||
\(792\) | 0.284458 | + | 1.61324i | 0.0101078 | + | 0.0573241i | ||||
\(793\) | 2.89113 | − | 0.509784i | 0.102667 | − | 0.0181030i | ||||
\(794\) | −21.3490 | − | 25.4428i | −0.757649 | − | 0.902931i | ||||
\(795\) | −2.49505 | − | 11.5470i | −0.0884902 | − | 0.409531i | ||||
\(796\) | 3.11255 | + | 8.55167i | 0.110322 | + | 0.303106i | ||||
\(797\) | −12.3686 | + | 10.3785i | −0.438118 | + | 0.367625i | −0.835005 | − | 0.550243i | \(-0.814535\pi\) |
0.396886 | + | 0.917868i | \(0.370091\pi\) | |||||||
\(798\) | 1.87524 | − | 0.330656i | 0.0663828 | − | 0.0117051i | ||||
\(799\) | 3.93889 | − | 0.694533i | 0.139348 | − | 0.0245708i | ||||
\(800\) | −3.57324 | + | 3.49742i | −0.126333 | + | 0.123653i | ||||
\(801\) | −18.4881 | + | 22.0332i | −0.653243 | + | 0.778505i | ||||
\(802\) | −2.31990 | + | 6.37388i | −0.0819186 | + | 0.225070i | ||||
\(803\) | −7.96269 | + | 4.59726i | −0.280997 | + | 0.162234i | ||||
\(804\) | −3.09805 | + | 5.36598i | −0.109260 | + | 0.189243i | ||||
\(805\) | −9.48908 | + | 5.97393i | −0.334446 | + | 0.210553i | ||||
\(806\) | −2.91896 | + | 1.68526i | −0.102816 | + | 0.0593609i | ||||
\(807\) | 9.48918 | + | 1.67320i | 0.334035 | + | 0.0588994i | ||||
\(808\) | 2.57612 | 0.0906277 | ||||||||
\(809\) | −3.01409 | − | 0.531466i | −0.105970 | − | 0.0186853i | 0.120412 | − | 0.992724i | \(-0.461579\pi\) |
−0.226382 | + | 0.974039i | \(0.572690\pi\) | |||||||
\(810\) | 0.260526 | − | 0.236171i | 0.00915396 | − | 0.00829822i | ||||
\(811\) | 16.3747 | − | 5.95991i | 0.574994 | − | 0.209281i | −0.0381226 | − | 0.999273i | \(-0.512138\pi\) |
0.613117 | + | 0.789992i | \(0.289916\pi\) | |||||||
\(812\) | 2.15472 | + | 0.784252i | 0.0756157 | + | 0.0275219i | ||||
\(813\) | 14.4517i | 0.506844i | ||||||||
\(814\) | −3.87322 | − | 3.62852i | −0.135756 | − | 0.127179i | ||||
\(815\) | −0.920231 | + | 6.71160i | −0.0322343 | + | 0.235097i | ||||
\(816\) | −0.296291 | + | 0.814053i | −0.0103723 | + | 0.0284976i | ||||
\(817\) | 1.21413 | + | 3.33581i | 0.0424772 | + | 0.116705i | ||||
\(818\) | −7.43101 | + | 8.85593i | −0.259819 | + | 0.309640i | ||||
\(819\) | −3.07775 | − | 0.542690i | −0.107545 | − | 0.0189631i | ||||
\(820\) | −0.504335 | + | 3.67831i | −0.0176122 | + | 0.128452i | ||||
\(821\) | −0.251379 | + | 1.42564i | −0.00877319 | + | 0.0497553i | −0.988880 | − | 0.148715i | \(-0.952486\pi\) |
0.980107 | + | 0.198470i | \(0.0635974\pi\) | |||||||
\(822\) | 3.38730 | + | 5.86698i | 0.118146 | + | 0.204634i | ||||
\(823\) | −11.0717 | − | 13.1948i | −0.385936 | − | 0.459941i | 0.537742 | − | 0.843109i | \(-0.319277\pi\) |
−0.923679 | + | 0.383168i | \(0.874833\pi\) | |||||||
\(824\) | −2.51846 | + | 4.36211i | −0.0877348 | + | 0.151961i | ||||
\(825\) | 4.47725 | − | 1.14837i | 0.155878 | − | 0.0399811i | ||||
\(826\) | 11.1413 | + | 4.05509i | 0.387654 | + | 0.141095i | ||||
\(827\) | 3.68473 | + | 3.09185i | 0.128131 | + | 0.107514i | 0.704601 | − | 0.709604i | \(-0.251126\pi\) |
−0.576470 | + | 0.817118i | \(0.695570\pi\) | |||||||
\(828\) | 4.36580 | − | 7.56178i | 0.151722 | − | 0.262790i | ||||
\(829\) | −15.9631 | + | 2.81473i | −0.554423 | + | 0.0977596i | −0.443838 | − | 0.896107i | \(-0.646383\pi\) |
−0.110585 | + | 0.993867i | \(0.535272\pi\) | |||||||
\(830\) | 0.347585 | + | 9.07752i | 0.0120649 | + | 0.315085i | ||||
\(831\) | −16.3684 | − | 19.5071i | −0.567813 | − | 0.676693i | ||||
\(832\) | −1.45072 | + | 0.528018i | −0.0502945 | + | 0.0183057i | ||||
\(833\) | 4.48511 | − | 1.63244i | 0.155400 | − | 0.0565609i | ||||
\(834\) | −5.95415 | − | 7.09587i | −0.206175 | − | 0.245710i | ||||
\(835\) | −0.630258 | + | 0.0241331i | −0.0218110 | + | 0.000835159i | ||||
\(836\) | 1.43225 | − | 0.252545i | 0.0495355 | − | 0.00873445i | ||||
\(837\) | 5.64113 | − | 9.77072i | 0.194986 | − | 0.337725i | ||||
\(838\) | 13.0900 | + | 10.9838i | 0.452186 | + | 0.379429i | ||||
\(839\) | −30.5392 | − | 11.1153i | −1.05433 | − | 0.383744i | −0.244034 | − | 0.969767i | \(-0.578471\pi\) |
−0.810295 | + | 0.586022i | \(0.800693\pi\) | |||||||
\(840\) | −2.36522 | + | 0.964882i | −0.0816078 | + | 0.0332916i | ||||
\(841\) | −12.2387 | + | 21.1981i | −0.422025 | + | 0.730969i | ||||
\(842\) | 1.45256 | + | 1.73109i | 0.0500585 | + | 0.0596575i | ||||
\(843\) | 4.96592 | + | 8.60123i | 0.171035 | + | 0.296242i | ||||
\(844\) | −2.61403 | + | 14.8249i | −0.0899785 | + | 0.510293i | ||||
\(845\) | 3.22476 | − | 23.5194i | 0.110935 | − | 0.809093i | ||||
\(846\) | −9.04438 | − | 1.59477i | −0.310952 | − | 0.0548293i | ||||
\(847\) | −7.09620 | + | 8.45692i | −0.243828 | + | 0.290583i | ||||
\(848\) | 1.70548 | + | 4.68576i | 0.0585663 | + | 0.160910i | ||||
\(849\) | 3.96877 | − | 10.9041i | 0.136208 | − | 0.374228i | ||||
\(850\) | −3.93737 | − | 1.10039i | −0.135051 | − | 0.0377432i | ||||
\(851\) | 3.38304 | + | 28.0863i | 0.115969 | + | 0.962787i | ||||
\(852\) | 11.5023i | 0.394062i | ||||||||
\(853\) | 24.4129 | + | 8.88557i | 0.835881 | + | 0.304236i | 0.724270 | − | 0.689516i | \(-0.242177\pi\) |
0.111611 | + | 0.993752i | \(0.464399\pi\) | |||||||
\(854\) | −1.92672 | + | 0.701269i | −0.0659310 | + | 0.0239969i | ||||
\(855\) | −4.69978 | − | 5.18443i | −0.160729 | − | 0.177304i | ||||
\(856\) | 2.41492 | + | 0.425816i | 0.0825403 | + | 0.0145541i | ||||
\(857\) | 34.7901 | 1.18841 | 0.594204 | − | 0.804314i | \(-0.297467\pi\) | ||||
0.594204 | + | 0.804314i | \(0.297467\pi\) | |||||||
\(858\) | 1.40548 | + | 0.247824i | 0.0479823 | + | 0.00846058i | ||||
\(859\) | −46.6988 | + | 26.9616i | −1.59334 | + | 0.919917i | −0.600615 | + | 0.799538i | \(0.705078\pi\) |
−0.992728 | + | 0.120379i | \(0.961589\pi\) | |||||||
\(860\) | −2.53716 | − | 4.03006i | −0.0865165 | − | 0.137424i | ||||
\(861\) | −0.948400 | + | 1.64268i | −0.0323214 | + | 0.0559823i | ||||
\(862\) | −12.4755 | + | 7.20271i | −0.424916 | + | 0.245325i | ||||
\(863\) | 17.7620 | − | 48.8008i | 0.604627 | − | 1.66120i | −0.137149 | − | 0.990550i | \(-0.543794\pi\) |
0.741776 | − | 0.670648i | \(-0.233984\pi\) | |||||||
\(864\) | 3.32171 | − | 3.95866i | 0.113007 | − | 0.134676i | ||||
\(865\) | −23.2558 | + | 29.9735i | −0.790721 | + | 1.01913i | ||||
\(866\) | −9.92854 | + | 1.75067i | −0.337385 | + | 0.0594902i | ||||
\(867\) | 17.0403 | − | 3.00466i | 0.578718 | − | 0.102044i | ||||
\(868\) | 1.80330 | − | 1.51315i | 0.0612081 | − | 0.0513597i | ||||
\(869\) | −1.47480 | − | 4.05198i | −0.0500292 | − | 0.137454i | ||||
\(870\) | 1.06408 | + | 4.92456i | 0.0360758 | + | 0.166958i | ||||
\(871\) | −5.80340 | − | 6.91622i | −0.196641 | − | 0.234347i | ||||
\(872\) | 8.97221 | − | 1.58204i | 0.303837 | − | 0.0535747i | ||||
\(873\) | −3.59871 | − | 20.4093i | −0.121798 | − | 0.690751i | ||||
\(874\) | −6.71343 | − | 3.87600i | −0.227085 | − | 0.131108i | ||||
\(875\) | −5.39370 | − | 10.7811i | −0.182340 | − | 0.364467i | ||||
\(876\) | 10.4915 | + | 3.81860i | 0.354476 | + | 0.129019i | ||||
\(877\) | −3.13287 | + | 1.80876i | −0.105790 | + | 0.0610776i | −0.551961 | − | 0.833870i | \(-0.686120\pi\) |
0.446172 | + | 0.894947i | \(0.352787\pi\) | |||||||
\(878\) | −8.05186 | − | 4.64874i | −0.271737 | − | 0.156887i | ||||
\(879\) | 2.95342 | − | 2.47821i | 0.0996163 | − | 0.0835880i | ||||
\(880\) | −1.80648 | + | 0.736949i | −0.0608966 | + | 0.0248425i | ||||
\(881\) | 8.69325 | − | 49.3019i | 0.292883 | − | 1.66102i | −0.382801 | − | 0.923831i | \(-0.625041\pi\) |
0.675684 | − | 0.737191i | \(-0.263848\pi\) | |||||||
\(882\) | −10.9595 | −0.369026 | ||||||||
\(883\) | 2.65222 | − | 15.0415i | 0.0892542 | − | 0.506186i | −0.907103 | − | 0.420909i | \(-0.861711\pi\) |
0.996357 | − | 0.0852772i | \(-0.0271776\pi\) | |||||||
\(884\) | −0.966979 | − | 0.811392i | −0.0325230 | − | 0.0272901i | ||||
\(885\) | 5.50199 | + | 25.4631i | 0.184947 | + | 0.855933i | ||||
\(886\) | −12.2221 | + | 33.5801i | −0.410611 | + | 1.12814i | ||||
\(887\) | 23.5038i | 0.789181i | 0.918857 | + | 0.394591i | \(0.129114\pi\) | ||||
−0.918857 | + | 0.394591i | \(0.870886\pi\) | |||||||
\(888\) | −0.352084 | + | 6.43505i | −0.0118152 | + | 0.215946i | ||||
\(889\) | −19.1618 | −0.642666 | ||||||||
\(890\) | −30.3002 | − | 15.9804i | −1.01567 | − | 0.535663i | ||||
\(891\) | 0.128937 | − | 0.0469291i | 0.00431954 | − | 0.00157218i | ||||
\(892\) | 13.9732 | − | 16.6526i | 0.467857 | − | 0.557570i | ||||
\(893\) | −1.41585 | + | 8.02970i | −0.0473797 | + | 0.268704i | ||||
\(894\) | − | 2.73289i | − | 0.0914016i | ||||||
\(895\) | −9.83136 | + | 30.6080i | −0.328626 | + | 1.02311i | ||||
\(896\) | 0.933779 | − | 0.539117i | 0.0311954 | − | 0.0180106i | ||||
\(897\) | −4.88975 | − | 5.82737i | −0.163264 | − | 0.194570i | ||||
\(898\) | 15.9644 | + | 9.21706i | 0.532739 | + | 0.307577i | ||||
\(899\) | −2.32147 | − | 4.02090i | −0.0774252 | − | 0.134104i | ||||
\(900\) | 7.63147 | + | 5.46648i | 0.254382 | + | 0.182216i | ||||
\(901\) | −2.62077 | + | 3.12331i | −0.0873104 | + | 0.104052i | ||||
\(902\) | −0.724360 | + | 1.25463i | −0.0241186 | + | 0.0417746i | ||||
\(903\) | −0.422481 | − | 2.39601i | −0.0140593 | − | 0.0797341i | ||||
\(904\) | 1.70995 | + | 9.69762i | 0.0568722 | + | 0.322538i | ||||
\(905\) | 18.3971 | + | 29.2221i | 0.611539 | + | 0.971377i | ||||
\(906\) | −8.07101 | − | 22.1749i | −0.268141 | − | 0.736712i | ||||
\(907\) | 7.86850 | − | 2.86390i | 0.261269 | − | 0.0950942i | −0.208064 | − | 0.978115i | \(-0.566716\pi\) |
0.469334 | + | 0.883021i | \(0.344494\pi\) | |||||||
\(908\) | −9.72456 | + | 8.15987i | −0.322721 | + | 0.270795i | ||||
\(909\) | −0.839862 | − | 4.76310i | −0.0278565 | − | 0.157982i | ||||
\(910\) | −0.142420 | − | 3.71943i | −0.00472118 | − | 0.123298i | ||||
\(911\) | 45.8295 | + | 26.4597i | 1.51840 | + | 0.876648i | 0.999766 | + | 0.0216508i | \(0.00689220\pi\) |
0.518633 | + | 0.854997i | \(0.326441\pi\) | |||||||
\(912\) | −1.35284 | − | 1.13517i | −0.0447970 | − | 0.0375891i | ||||
\(913\) | −1.21235 | + | 3.33091i | −0.0401230 | + | 0.110237i | ||||
\(914\) | −16.8623 | − | 29.2064i | −0.557756 | − | 0.966061i | ||||
\(915\) | −3.55938 | − | 2.76166i | −0.117670 | − | 0.0912975i | ||||
\(916\) | −7.71182 | + | 6.47099i | −0.254806 | + | 0.213807i | ||||
\(917\) | 3.73650 | + | 6.47180i | 0.123390 | + | 0.213718i | ||||
\(918\) | 4.16114 | + | 0.733721i | 0.137338 | + | 0.0242164i | ||||
\(919\) | − | 25.9125i | − | 0.854773i | −0.904069 | − | 0.427387i | \(-0.859434\pi\) | ||
0.904069 | − | 0.427387i | \(-0.140566\pi\) | |||||||
\(920\) | 9.90114 | + | 3.18028i | 0.326431 | + | 0.104851i | ||||
\(921\) | −0.686752 | − | 0.576253i | −0.0226292 | − | 0.0189882i | ||||
\(922\) | 10.3999 | + | 28.5735i | 0.342503 | + | 0.941019i | ||||
\(923\) | −15.7495 | − | 5.73235i | −0.518401 | − | 0.188682i | ||||
\(924\) | −0.996759 | −0.0327910 | ||||||||
\(925\) | −30.4065 | + | 0.665560i | −0.999761 | + | 0.0218835i | ||||
\(926\) | 33.3861 | 1.09713 | ||||||||
\(927\) | 8.88634 | + | 3.23436i | 0.291866 | + | 0.106230i | ||||
\(928\) | −0.727348 | − | 1.99837i | −0.0238764 | − | 0.0655998i | ||||
\(929\) | −6.55154 | − | 5.49740i | −0.214949 | − | 0.180364i | 0.528955 | − | 0.848650i | \(-0.322584\pi\) |
−0.743905 | + | 0.668286i | \(0.767028\pi\) | |||||||
\(930\) | 4.92454 | + | 1.58178i | 0.161482 | + | 0.0518685i | ||||
\(931\) | 9.72999i | 0.318887i | ||||||||
\(932\) | 7.55181 | + | 1.33159i | 0.247368 | + | 0.0436176i | ||||
\(933\) | 6.92261 | + | 11.9903i | 0.226636 | + | 0.392545i | ||||
\(934\) | −15.2332 | + | 12.7822i | −0.498445 | + | 0.418245i | ||||
\(935\) | −1.26037 | − | 0.977897i | −0.0412185 | − | 0.0319806i | ||||
\(936\) | 1.44923 | + | 2.51014i | 0.0473696 | + | 0.0820466i | ||||
\(937\) | −11.6912 | + | 32.1214i | −0.381936 | + | 1.04936i | 0.588604 | + | 0.808422i | \(0.299678\pi\) |
−0.970540 | + | 0.240940i | \(0.922544\pi\) | |||||||
\(938\) | 4.83042 | + | 4.05321i | 0.157719 | + | 0.132342i | ||||
\(939\) | −5.35548 | − | 3.09199i | −0.174769 | − | 0.100903i | ||||
\(940\) | −0.418521 | − | 10.9301i | −0.0136506 | − | 0.356499i | ||||
\(941\) | −5.69881 | − | 32.3196i | −0.185776 | − | 1.05359i | −0.924954 | − | 0.380078i | \(-0.875897\pi\) |
0.739178 | − | 0.673510i | \(-0.235214\pi\) | |||||||
\(942\) | 5.21506 | − | 4.37596i | 0.169916 | − | 0.142576i | ||||
\(943\) | 7.25631 | − | 2.64108i | 0.236298 | − | 0.0860054i | ||||
\(944\) | −3.76086 | − | 10.3329i | −0.122405 | − | 0.336306i | ||||
\(945\) | 6.63793 | + | 10.5438i | 0.215932 | + | 0.342989i | ||||
\(946\) | −0.322678 | − | 1.83000i | −0.0104912 | − | 0.0594984i | ||||
\(947\) | −5.11925 | − | 29.0327i | −0.166353 | − | 0.943436i | −0.947658 | − | 0.319287i | \(-0.896557\pi\) |
0.781305 | − | 0.624150i | \(-0.214554\pi\) | |||||||
\(948\) | −2.61803 | + | 4.53457i | −0.0850298 | + | 0.147276i | ||||
\(949\) | −10.4572 | + | 12.4624i | −0.339456 | + | 0.404548i | ||||
\(950\) | 4.85320 | − | 6.77530i | 0.157459 | − | 0.219820i | ||||
\(951\) | 9.89708 | + | 17.1422i | 0.320935 | + | 0.555875i | ||||
\(952\) | 0.763503 | + | 0.440809i | 0.0247453 | + | 0.0142867i | ||||
\(953\) | 13.1824 | + | 15.7102i | 0.427020 | + | 0.508902i | 0.936060 | − | 0.351841i | \(-0.114444\pi\) |
−0.509040 | + | 0.860743i | \(0.670000\pi\) | |||||||
\(954\) | 8.10767 | − | 4.68097i | 0.262496 | − | 0.151552i | ||||
\(955\) | −2.25746 | + | 7.02814i | −0.0730496 | + | 0.227425i | ||||
\(956\) | − | 6.59335i | − | 0.213244i | ||||||
\(957\) | −0.341380 | + | 1.93606i | −0.0110352 | + | 0.0625840i | ||||
\(958\) | 13.9321 | − | 16.6037i | 0.450127 | − | 0.536441i | ||||
\(959\) | 6.47862 | − | 2.35803i | 0.209206 | − | 0.0761446i | ||||
\(960\) | 2.09553 | + | 1.10518i | 0.0676330 | + | 0.0356696i | ||||
\(961\) | 26.2335 | 0.846241 | ||||||||
\(962\) | −8.63572 | − | 3.68910i | −0.278427 | − | 0.118941i | ||||
\(963\) | − | 4.60387i | − | 0.148358i | ||||||
\(964\) | 9.22443 | − | 25.3439i | 0.297099 | − | 0.816272i | ||||
\(965\) | 5.17128 | + | 23.9326i | 0.166470 | + | 0.770419i | ||||
\(966\) | 4.06995 | + | 3.41510i | 0.130949 | + | 0.109879i | ||||
\(967\) | −2.60568 | + | 14.7775i | −0.0837930 | + | 0.475214i | 0.913817 | + | 0.406125i | \(0.133120\pi\) |
−0.997611 | + | 0.0690888i | \(0.977991\pi\) | |||||||
\(968\) | 10.2387 | 0.329084 | ||||||||
\(969\) | 0.250743 | − | 1.42204i | 0.00805503 | − | 0.0456824i | ||||
\(970\) | 22.8540 | − | 9.32323i | 0.733799 | − | 0.299351i | ||||
\(971\) | −7.81074 | + | 6.55399i | −0.250659 | + | 0.210327i | −0.759456 | − | 0.650559i | \(-0.774535\pi\) |
0.508797 | + | 0.860886i | \(0.330090\pi\) | |||||||
\(972\) | −13.5703 | − | 7.83480i | −0.435267 | − | 0.251301i | ||||
\(973\) | −8.16386 | + | 4.71341i | −0.261721 | + | 0.151105i | ||||
\(974\) | 34.3382 | + | 12.4981i | 1.10027 | + | 0.400464i | ||||
\(975\) | 6.74924 | − | 4.61882i | 0.216149 | − | 0.147921i | ||||
\(976\) | 1.64684 | + | 0.950801i | 0.0527139 | + | 0.0304344i | ||||
\(977\) | −3.07787 | − | 17.4554i | −0.0984697 | − | 0.558449i | −0.993629 | − | 0.112703i | \(-0.964049\pi\) |
0.895159 | − | 0.445747i | \(-0.147062\pi\) | |||||||
\(978\) | 3.16109 | − | 0.557386i | 0.101081 | − | 0.0178232i | ||||
\(979\) | −8.59204 | − | 10.2396i | −0.274603 | − | 0.327259i | ||||
\(980\) | −2.75679 | − | 12.7584i | −0.0880625 | − | 0.407552i | ||||
\(981\) | −5.85020 | − | 16.0733i | −0.186783 | − | 0.513181i | ||||
\(982\) | 18.2671 | − | 15.3279i | 0.582927 | − | 0.489134i | ||||
\(983\) | −22.5758 | + | 3.98072i | −0.720056 | + | 0.126965i | −0.521656 | − | 0.853156i | \(-0.674686\pi\) |
−0.198400 | + | 0.980121i | \(0.563575\pi\) | |||||||
\(984\) | 1.73245 | − | 0.305477i | 0.0552284 | − | 0.00973825i | ||||
\(985\) | 26.0077 | − | 33.5202i | 0.828673 | − | 1.06804i | ||||
\(986\) | 1.11770 | − | 1.33202i | 0.0355948 | − | 0.0424202i | ||||
\(987\) | 1.91127 | − | 5.25116i | 0.0608363 | − | 0.167146i | ||||
\(988\) | 2.22853 | − | 1.28664i | 0.0708991 | − | 0.0409336i | ||||
\(989\) | −4.95239 | + | 8.57779i | −0.157477 | + | 0.272758i | ||||
\(990\) | 1.95152 | + | 3.09982i | 0.0620234 | + | 0.0985188i | ||||
\(991\) | 37.5341 | − | 21.6703i | 1.19231 | − | 0.688380i | 0.233479 | − | 0.972362i | \(-0.424989\pi\) |
0.958830 | + | 0.283982i | \(0.0916556\pi\) | |||||||
\(992\) | −2.15007 | − | 0.379116i | −0.0682649 | − | 0.0120369i | ||||
\(993\) | −8.13750 | −0.258236 | ||||||||
\(994\) | 11.5279 | + | 2.03267i | 0.365642 | + | 0.0644725i | ||||
\(995\) | 13.6672 | + | 15.0766i | 0.433279 | + | 0.477960i | ||||
\(996\) | 4.04470 | − | 1.47215i | 0.128161 | − | 0.0466469i | ||||
\(997\) | −23.0591 | − | 8.39284i | −0.730290 | − | 0.265804i | −0.0500023 | − | 0.998749i | \(-0.515923\pi\) |
−0.680288 | + | 0.732945i | \(0.738145\pi\) | |||||||
\(998\) | 37.9114i | 1.20006i | ||||||||
\(999\) | 31.2081 | − | 3.75906i | 0.987381 | − | 0.118931i |
(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 | 370.2.v.b.169.5 | yes | 60 | |
5.4 | even | 2 | 370.2.v.a.169.6 | ✓ | 60 | ||
37.30 | even | 18 | 370.2.v.a.289.6 | yes | 60 | ||
185.104 | even | 18 | inner | 370.2.v.b.289.5 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.v.a.169.6 | ✓ | 60 | 5.4 | even | 2 | ||
370.2.v.a.289.6 | yes | 60 | 37.30 | even | 18 | ||
370.2.v.b.169.5 | yes | 60 | 1.1 | even | 1 | trivial | |
370.2.v.b.289.5 | yes | 60 | 185.104 | even | 18 | inner |