Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(34,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.34");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.r (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 34.10 | ||
Character | \(\chi\) | \(=\) | 483.34 |
Dual form | 483.2.r.a.412.10 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{9}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.19713 | + | 0.769346i | −0.846496 | + | 0.544010i | −0.890480 | − | 0.455023i | \(-0.849631\pi\) |
0.0439843 | + | 0.999032i | \(0.485995\pi\) | |||||||
\(3\) | 0.989821 | + | 0.142315i | 0.571474 | + | 0.0821655i | ||||
\(4\) | 0.0103865 | − | 0.0227432i | 0.00519324 | − | 0.0113716i | ||||
\(5\) | −1.85052 | + | 0.543361i | −0.827577 | + | 0.242998i | −0.667976 | − | 0.744183i | \(-0.732839\pi\) |
−0.159601 | + | 0.987182i | \(0.551021\pi\) | |||||||
\(6\) | −1.29443 | + | 0.591146i | −0.528449 | + | 0.241334i | ||||
\(7\) | 2.00756 | − | 1.72328i | 0.758788 | − | 0.651337i | ||||
\(8\) | −0.399972 | − | 2.78187i | −0.141411 | − | 0.983538i | ||||
\(9\) | 0.959493 | + | 0.281733i | 0.319831 | + | 0.0939109i | ||||
\(10\) | 1.79727 | − | 2.07416i | 0.568346 | − | 0.655907i | ||||
\(11\) | −1.95833 | + | 3.04722i | −0.590458 | + | 0.918771i | 0.409521 | + | 0.912301i | \(0.365696\pi\) |
−0.999979 | + | 0.00647023i | \(0.997940\pi\) | |||||||
\(12\) | 0.0135175 | − | 0.0210336i | 0.00390215 | − | 0.00607187i | ||||
\(13\) | 2.98474 | + | 2.58629i | 0.827818 | + | 0.717309i | 0.961823 | − | 0.273672i | \(-0.0882383\pi\) |
−0.134005 | + | 0.990981i | \(0.542784\pi\) | |||||||
\(14\) | −1.07751 | + | 3.60749i | −0.287977 | + | 0.964142i | ||||
\(15\) | −1.90901 | + | 0.274474i | −0.492904 | + | 0.0708689i | ||||
\(16\) | 2.65178 | + | 3.06032i | 0.662945 | + | 0.765079i | ||||
\(17\) | 2.49084 | + | 5.45419i | 0.604118 | + | 1.32283i | 0.926525 | + | 0.376233i | \(0.122781\pi\) |
−0.322407 | + | 0.946601i | \(0.604492\pi\) | |||||||
\(18\) | −1.36538 | + | 0.400913i | −0.321824 | + | 0.0944960i | ||||
\(19\) | −2.11104 | + | 4.62252i | −0.484305 | + | 1.06048i | 0.496953 | + | 0.867778i | \(0.334452\pi\) |
−0.981257 | + | 0.192702i | \(0.938275\pi\) | |||||||
\(20\) | −0.00686259 | + | 0.0477303i | −0.00153452 | + | 0.0106728i | ||||
\(21\) | 2.23238 | − | 1.42003i | 0.487145 | − | 0.309876i | ||||
\(22\) | − | 5.15454i | − | 1.09895i | ||||||
\(23\) | −4.57289 | − | 1.44523i | −0.953513 | − | 0.301352i | ||||
\(24\) | − | 2.81047i | − | 0.573685i | ||||||
\(25\) | −1.07709 | + | 0.692206i | −0.215419 | + | 0.138441i | ||||
\(26\) | −5.56286 | − | 0.799819i | −1.09097 | − | 0.156857i | ||||
\(27\) | 0.909632 | + | 0.415415i | 0.175059 | + | 0.0799467i | ||||
\(28\) | −0.0183413 | − | 0.0635573i | −0.00346619 | − | 0.0120112i | ||||
\(29\) | −0.273749 | − | 0.599427i | −0.0508339 | − | 0.111311i | 0.882511 | − | 0.470292i | \(-0.155851\pi\) |
−0.933345 | + | 0.358981i | \(0.883124\pi\) | |||||||
\(30\) | 2.07416 | − | 1.79727i | 0.378688 | − | 0.328135i | ||||
\(31\) | −9.09573 | + | 1.30777i | −1.63364 | + | 0.234882i | −0.897202 | − | 0.441621i | \(-0.854404\pi\) |
−0.736440 | + | 0.676503i | \(0.763495\pi\) | |||||||
\(32\) | −0.135699 | − | 0.0398449i | −0.0239885 | − | 0.00704365i | ||||
\(33\) | −2.37206 | + | 2.73750i | −0.412923 | + | 0.476538i | ||||
\(34\) | −7.17801 | − | 4.61303i | −1.23102 | − | 0.791127i | ||||
\(35\) | −2.77867 | + | 4.27979i | −0.469681 | + | 0.723416i | ||||
\(36\) | 0.0163733 | − | 0.0188958i | 0.00272888 | − | 0.00314929i | ||||
\(37\) | 1.49824 | − | 5.10254i | 0.246309 | − | 0.838853i | −0.739810 | − | 0.672816i | \(-0.765085\pi\) |
0.986120 | − | 0.166037i | \(-0.0530971\pi\) | |||||||
\(38\) | −1.02914 | − | 7.15786i | −0.166949 | − | 1.16116i | ||||
\(39\) | 2.58629 | + | 2.98474i | 0.414138 | + | 0.477941i | ||||
\(40\) | 2.25171 | + | 4.93056i | 0.356027 | + | 0.779590i | ||||
\(41\) | −0.999662 | − | 3.40453i | −0.156121 | − | 0.531699i | 0.843867 | − | 0.536552i | \(-0.180273\pi\) |
−0.999988 | + | 0.00485291i | \(0.998455\pi\) | |||||||
\(42\) | −1.57994 | + | 3.41743i | −0.243791 | + | 0.527320i | ||||
\(43\) | 11.5055 | + | 1.65425i | 1.75458 | + | 0.252270i | 0.943194 | − | 0.332243i | \(-0.107805\pi\) |
0.811384 | + | 0.584513i | \(0.198714\pi\) | |||||||
\(44\) | 0.0489634 | + | 0.0761886i | 0.00738151 | + | 0.0114859i | ||||
\(45\) | −1.92864 | −0.287505 | ||||||||
\(46\) | 6.58620 | − | 1.78801i | 0.971083 | − | 0.263628i | ||||
\(47\) | 8.64293i | 1.26070i | 0.776311 | + | 0.630351i | \(0.217089\pi\) | ||||
−0.776311 | + | 0.630351i | \(0.782911\pi\) | |||||||
\(48\) | 2.18926 | + | 3.40656i | 0.315992 | + | 0.491694i | ||||
\(49\) | 1.06063 | − | 6.91918i | 0.151519 | − | 0.988454i | ||||
\(50\) | 0.756870 | − | 1.65732i | 0.107038 | − | 0.234380i | ||||
\(51\) | 1.68928 | + | 5.75315i | 0.236546 | + | 0.805603i | ||||
\(52\) | 0.0898216 | − | 0.0410202i | 0.0124560 | − | 0.00568847i | ||||
\(53\) | −4.59919 | + | 3.98522i | −0.631747 | + | 0.547412i | −0.910792 | − | 0.412866i | \(-0.864528\pi\) |
0.279045 | + | 0.960278i | \(0.409982\pi\) | |||||||
\(54\) | −1.40854 | + | 0.202518i | −0.191678 | + | 0.0275592i | ||||
\(55\) | 1.96818 | − | 6.70301i | 0.265390 | − | 0.903834i | ||||
\(56\) | −5.59689 | − | 4.89551i | −0.747916 | − | 0.654191i | ||||
\(57\) | −2.74740 | + | 4.27504i | −0.363902 | + | 0.566243i | ||||
\(58\) | 0.788879 | + | 0.506981i | 0.103585 | + | 0.0665699i | ||||
\(59\) | 2.75852 | + | 2.39027i | 0.359128 | + | 0.311186i | 0.815672 | − | 0.578515i | \(-0.196367\pi\) |
−0.456544 | + | 0.889701i | \(0.650913\pi\) | |||||||
\(60\) | −0.0135855 | + | 0.0462679i | −0.00175388 | + | 0.00597316i | ||||
\(61\) | 1.18090 | + | 8.21335i | 0.151199 | + | 1.05161i | 0.914214 | + | 0.405231i | \(0.132809\pi\) |
−0.763015 | + | 0.646381i | \(0.776282\pi\) | |||||||
\(62\) | 9.88261 | − | 8.56333i | 1.25509 | − | 1.08754i | ||||
\(63\) | 2.41175 | − | 1.08788i | 0.303852 | − | 0.137059i | ||||
\(64\) | −7.57760 | + | 2.22498i | −0.947200 | + | 0.278123i | ||||
\(65\) | −6.92861 | − | 3.16419i | −0.859388 | − | 0.392469i | ||||
\(66\) | 0.733567 | − | 5.10207i | 0.0902958 | − | 0.628021i | ||||
\(67\) | −2.51938 | − | 3.92024i | −0.307792 | − | 0.478933i | 0.652555 | − | 0.757741i | \(-0.273697\pi\) |
−0.960347 | + | 0.278808i | \(0.910061\pi\) | |||||||
\(68\) | 0.149917 | 0.0181801 | ||||||||
\(69\) | −4.32066 | − | 2.08131i | −0.520147 | − | 0.250560i | ||||
\(70\) | 0.0337839 | − | 7.26120i | 0.00403794 | − | 0.867880i | ||||
\(71\) | 2.52332 | − | 1.62164i | 0.299464 | − | 0.192454i | −0.382277 | − | 0.924048i | \(-0.624860\pi\) |
0.681740 | + | 0.731594i | \(0.261223\pi\) | |||||||
\(72\) | 0.399972 | − | 2.78187i | 0.0471371 | − | 0.327846i | ||||
\(73\) | 1.80436 | + | 0.824025i | 0.211185 | + | 0.0964448i | 0.518199 | − | 0.855260i | \(-0.326603\pi\) |
−0.307014 | + | 0.951705i | \(0.599330\pi\) | |||||||
\(74\) | 2.13204 | + | 7.26105i | 0.247844 | + | 0.844080i | ||||
\(75\) | −1.16464 | + | 0.531874i | −0.134481 | + | 0.0614155i | ||||
\(76\) | 0.0832048 | + | 0.0960235i | 0.00954425 | + | 0.0110147i | ||||
\(77\) | 1.31973 | + | 9.49223i | 0.150397 | + | 1.08174i | ||||
\(78\) | −5.39242 | − | 1.58336i | −0.610571 | − | 0.179280i | ||||
\(79\) | 8.73472 | + | 7.56868i | 0.982733 | + | 0.851543i | 0.988922 | − | 0.148438i | \(-0.0474245\pi\) |
−0.00618885 | + | 0.999981i | \(0.501970\pi\) | |||||||
\(80\) | −6.57002 | − | 4.22230i | −0.734551 | − | 0.472067i | ||||
\(81\) | 0.841254 | + | 0.540641i | 0.0934726 | + | 0.0600712i | ||||
\(82\) | 3.81599 | + | 3.30657i | 0.421405 | + | 0.365150i | ||||
\(83\) | 1.39646 | + | 0.410037i | 0.153281 | + | 0.0450074i | 0.357473 | − | 0.933923i | \(-0.383638\pi\) |
−0.204192 | + | 0.978931i | \(0.565457\pi\) | |||||||
\(84\) | −0.00910950 | − | 0.0655206i | −0.000993928 | − | 0.00714888i | ||||
\(85\) | −7.57294 | − | 8.73964i | −0.821401 | − | 0.947947i | ||||
\(86\) | −15.0463 | + | 6.87140i | −1.62248 | + | 0.740962i | ||||
\(87\) | −0.185655 | − | 0.632284i | −0.0199043 | − | 0.0677880i | ||||
\(88\) | 9.26023 | + | 4.22901i | 0.987144 | + | 0.450813i | ||||
\(89\) | −0.896944 | + | 6.23838i | −0.0950759 | + | 0.661267i | 0.885429 | + | 0.464774i | \(0.153864\pi\) |
−0.980505 | + | 0.196493i | \(0.937045\pi\) | |||||||
\(90\) | 2.30883 | − | 1.48379i | 0.243372 | − | 0.156405i | ||||
\(91\) | 10.4490 | + | 0.0486154i | 1.09535 | + | 0.00509628i | ||||
\(92\) | −0.0803654 | + | 0.0889913i | −0.00837868 | + | 0.00927799i | ||||
\(93\) | −9.18927 | −0.952883 | ||||||||
\(94\) | −6.64940 | − | 10.3467i | −0.685834 | − | 1.06718i | ||||
\(95\) | 1.39481 | − | 9.70111i | 0.143104 | − | 0.995313i | ||||
\(96\) | −0.128648 | − | 0.0587514i | −0.0131300 | − | 0.00599629i | ||||
\(97\) | 9.51325 | − | 2.79334i | 0.965924 | − | 0.283621i | 0.239522 | − | 0.970891i | \(-0.423009\pi\) |
0.726402 | + | 0.687270i | \(0.241191\pi\) | |||||||
\(98\) | 4.05353 | + | 9.09912i | 0.409469 | + | 0.919150i | ||||
\(99\) | −2.73750 | + | 2.37206i | −0.275129 | + | 0.238401i | ||||
\(100\) | 0.00455578 | + | 0.0316862i | 0.000455578 | + | 0.00316862i | ||||
\(101\) | 3.71719 | − | 12.6596i | 0.369874 | − | 1.25968i | −0.538894 | − | 0.842374i | \(-0.681158\pi\) |
0.908768 | − | 0.417302i | \(-0.137024\pi\) | |||||||
\(102\) | −6.44844 | − | 5.58761i | −0.638491 | − | 0.553256i | ||||
\(103\) | −9.32445 | − | 5.99246i | −0.918765 | − | 0.590455i | −0.00646614 | − | 0.999979i | \(-0.502058\pi\) |
−0.912299 | + | 0.409525i | \(0.865695\pi\) | |||||||
\(104\) | 6.00091 | − | 9.33760i | 0.588437 | − | 0.915627i | ||||
\(105\) | −3.35947 | + | 3.84078i | −0.327850 | + | 0.374822i | ||||
\(106\) | 2.43979 | − | 8.30917i | 0.236974 | − | 0.807058i | ||||
\(107\) | 11.9030 | − | 1.71140i | 1.15071 | − | 0.165447i | 0.459553 | − | 0.888151i | \(-0.348010\pi\) |
0.691158 | + | 0.722703i | \(0.257101\pi\) | |||||||
\(108\) | 0.0188958 | − | 0.0163733i | 0.00181824 | − | 0.00157552i | ||||
\(109\) | −6.65290 | + | 3.03828i | −0.637232 | + | 0.291014i | −0.707714 | − | 0.706499i | \(-0.750273\pi\) |
0.0704821 | + | 0.997513i | \(0.477546\pi\) | |||||||
\(110\) | 2.80077 | + | 9.53856i | 0.267043 | + | 0.909466i | ||||
\(111\) | 2.20916 | − | 4.83738i | 0.209684 | − | 0.459144i | ||||
\(112\) | 10.5974 | + | 1.57403i | 1.00136 | + | 0.148732i | ||||
\(113\) | 7.04875 | + | 10.9681i | 0.663091 | + | 1.03179i | 0.996045 | + | 0.0888468i | \(0.0283182\pi\) |
−0.332954 | + | 0.942943i | \(0.608045\pi\) | |||||||
\(114\) | − | 7.23146i | − | 0.677289i | ||||||
\(115\) | 9.24749 | + | 0.189698i | 0.862333 | + | 0.0176894i | ||||
\(116\) | −0.0164762 | −0.00152978 | ||||||||
\(117\) | 2.13520 | + | 3.32243i | 0.197399 | + | 0.307159i | ||||
\(118\) | −5.14123 | − | 0.739197i | −0.473289 | − | 0.0680486i | ||||
\(119\) | 14.3996 | + | 6.65722i | 1.32001 | + | 0.610266i | ||||
\(120\) | 1.52710 | + | 5.20083i | 0.139405 | + | 0.474768i | ||||
\(121\) | −0.880926 | − | 1.92896i | −0.0800842 | − | 0.175360i | ||||
\(122\) | −7.73260 | − | 8.92389i | −0.700076 | − | 0.807931i | ||||
\(123\) | −0.504971 | − | 3.51215i | −0.0455317 | − | 0.316680i | ||||
\(124\) | −0.0647298 | + | 0.220449i | −0.00581291 | + | 0.0197969i | ||||
\(125\) | 7.93202 | − | 9.15404i | 0.709461 | − | 0.818762i | ||||
\(126\) | −2.05021 | + | 3.15779i | −0.182647 | + | 0.281318i | ||||
\(127\) | −10.5131 | − | 6.75637i | −0.932888 | − | 0.599531i | −0.0165182 | − | 0.999864i | \(-0.505258\pi\) |
−0.916370 | + | 0.400333i | \(0.868894\pi\) | |||||||
\(128\) | 7.54479 | − | 8.70715i | 0.666871 | − | 0.769611i | ||||
\(129\) | 11.1530 | + | 3.27482i | 0.981967 | + | 0.288332i | ||||
\(130\) | 10.7288 | − | 1.54256i | 0.940975 | − | 0.135292i | ||||
\(131\) | 8.96849 | − | 7.77124i | 0.783581 | − | 0.678977i | −0.168201 | − | 0.985753i | \(-0.553796\pi\) |
0.951782 | + | 0.306776i | \(0.0992503\pi\) | |||||||
\(132\) | 0.0376223 | + | 0.0823813i | 0.00327460 | + | 0.00717037i | ||||
\(133\) | 3.72785 | + | 12.9179i | 0.323245 | + | 1.12013i | ||||
\(134\) | 6.03204 | + | 2.75474i | 0.521089 | + | 0.237973i | ||||
\(135\) | −1.90901 | − | 0.274474i | −0.164301 | − | 0.0236230i | ||||
\(136\) | 14.1765 | − | 9.11071i | 1.21563 | − | 0.781237i | ||||
\(137\) | − | 5.23884i | − | 0.447584i | −0.974637 | − | 0.223792i | \(-0.928156\pi\) | ||
0.974637 | − | 0.223792i | \(-0.0718437\pi\) | |||||||
\(138\) | 6.77363 | − | 0.832495i | 0.576609 | − | 0.0708667i | ||||
\(139\) | 11.1899i | 0.949112i | 0.880225 | + | 0.474556i | \(0.157391\pi\) | ||||
−0.880225 | + | 0.474556i | \(0.842609\pi\) | |||||||
\(140\) | 0.0684755 | + | 0.107648i | 0.00578724 | + | 0.00909791i | ||||
\(141\) | −1.23002 | + | 8.55496i | −0.103586 | + | 0.720458i | ||||
\(142\) | −1.77313 | + | 3.88262i | −0.148798 | + | 0.325822i | ||||
\(143\) | −13.7261 | + | 4.03035i | −1.14783 | + | 0.337035i | ||||
\(144\) | 1.68217 | + | 3.68345i | 0.140181 | + | 0.306954i | ||||
\(145\) | 0.832283 | + | 0.960505i | 0.0691173 | + | 0.0797656i | ||||
\(146\) | −2.79401 | + | 0.401718i | −0.231234 | + | 0.0332464i | ||||
\(147\) | 2.03454 | − | 6.69781i | 0.167806 | − | 0.552426i | ||||
\(148\) | −0.100487 | − | 0.0870723i | −0.00825996 | − | 0.00715730i | ||||
\(149\) | 11.7883 | − | 18.3429i | 0.965733 | − | 1.50271i | 0.104484 | − | 0.994527i | \(-0.466681\pi\) |
0.861249 | − | 0.508183i | \(-0.169683\pi\) | |||||||
\(150\) | 0.985027 | − | 1.53273i | 0.0804271 | − | 0.125147i | ||||
\(151\) | 6.96490 | − | 8.03792i | 0.566795 | − | 0.654117i | −0.397917 | − | 0.917421i | \(-0.630267\pi\) |
0.964713 | + | 0.263304i | \(0.0848124\pi\) | |||||||
\(152\) | 13.7036 | + | 4.02374i | 1.11151 | + | 0.326368i | ||||
\(153\) | 0.853325 | + | 5.93501i | 0.0689872 | + | 0.479817i | ||||
\(154\) | −8.88269 | − | 10.3481i | −0.715788 | − | 0.833871i | ||||
\(155\) | 16.1212 | − | 7.36232i | 1.29489 | − | 0.591355i | ||||
\(156\) | 0.0947451 | − | 0.0278197i | 0.00758568 | − | 0.00222736i | ||||
\(157\) | 9.43594 | − | 20.6618i | 0.753070 | − | 1.64899i | −0.00769782 | − | 0.999970i | \(-0.502450\pi\) |
0.760768 | − | 0.649024i | \(-0.224822\pi\) | |||||||
\(158\) | −16.2795 | − | 2.34064i | −1.29513 | − | 0.186211i | ||||
\(159\) | −5.11953 | + | 3.29012i | −0.406005 | + | 0.260924i | ||||
\(160\) | 0.272764 | 0.0215639 | ||||||||
\(161\) | −11.6709 | + | 4.97896i | −0.919796 | + | 0.392397i | ||||
\(162\) | −1.42303 | −0.111803 | ||||||||
\(163\) | −13.4485 | + | 8.64286i | −1.05337 | + | 0.676961i | −0.948258 | − | 0.317499i | \(-0.897157\pi\) |
−0.105113 | + | 0.994460i | \(0.533520\pi\) | |||||||
\(164\) | −0.0878131 | − | 0.0126256i | −0.00685705 | − | 0.000985895i | ||||
\(165\) | 2.90209 | − | 6.35468i | 0.225927 | − | 0.494711i | ||||
\(166\) | −1.98720 | + | 0.583493i | −0.154236 | + | 0.0452879i | ||||
\(167\) | −17.3498 | + | 7.92341i | −1.34257 | + | 0.613132i | −0.951619 | − | 0.307279i | \(-0.900581\pi\) |
−0.390952 | + | 0.920411i | \(0.627854\pi\) | |||||||
\(168\) | −4.84322 | − | 5.64221i | −0.373663 | − | 0.435306i | ||||
\(169\) | 0.369677 | + | 2.57116i | 0.0284367 | + | 0.197781i | ||||
\(170\) | 15.7896 | + | 4.63624i | 1.21100 | + | 0.355583i | ||||
\(171\) | −3.32784 | + | 3.84053i | −0.254486 | + | 0.293693i | ||||
\(172\) | 0.157125 | − | 0.244491i | 0.0119807 | − | 0.0186423i | ||||
\(173\) | −2.65926 | + | 4.13788i | −0.202179 | + | 0.314597i | −0.927506 | − | 0.373807i | \(-0.878052\pi\) |
0.725327 | + | 0.688404i | \(0.241689\pi\) | |||||||
\(174\) | 0.708698 | + | 0.614090i | 0.0537262 | + | 0.0465541i | ||||
\(175\) | −0.969473 | + | 3.24578i | −0.0732853 | + | 0.245358i | ||||
\(176\) | −14.5185 | + | 2.08745i | −1.09437 | + | 0.157347i | ||||
\(177\) | 2.39027 | + | 2.75852i | 0.179663 | + | 0.207343i | ||||
\(178\) | −3.72572 | − | 8.15819i | −0.279255 | − | 0.611482i | ||||
\(179\) | −3.27841 | + | 0.962628i | −0.245040 | + | 0.0719502i | −0.401946 | − | 0.915663i | \(-0.631666\pi\) |
0.156906 | + | 0.987613i | \(0.449848\pi\) | |||||||
\(180\) | −0.0200318 | + | 0.0438635i | −0.00149308 | + | 0.00326939i | ||||
\(181\) | 2.14559 | − | 14.9229i | 0.159480 | − | 1.10921i | −0.740114 | − | 0.672482i | \(-0.765228\pi\) |
0.899594 | − | 0.436727i | \(-0.143863\pi\) | |||||||
\(182\) | −12.5461 | + | 7.98067i | −0.929980 | + | 0.591566i | ||||
\(183\) | 8.29781i | 0.613392i | ||||||||
\(184\) | −2.19141 | + | 13.2992i | −0.161553 | + | 0.980431i | ||||
\(185\) | 10.2564i | 0.754068i | ||||||||
\(186\) | 11.0007 | − | 7.06972i | 0.806611 | − | 0.518377i | ||||
\(187\) | −21.4980 | − | 3.09094i | −1.57209 | − | 0.226032i | ||||
\(188\) | 0.196568 | + | 0.0897697i | 0.0143362 | + | 0.00654713i | ||||
\(189\) | 2.54202 | − | 0.733575i | 0.184905 | − | 0.0533597i | ||||
\(190\) | 5.79375 | + | 12.6865i | 0.420323 | + | 0.920379i | ||||
\(191\) | 6.80994 | − | 5.90085i | 0.492750 | − | 0.426970i | −0.372710 | − | 0.927948i | \(-0.621572\pi\) |
0.865460 | + | 0.500977i | \(0.167026\pi\) | |||||||
\(192\) | −7.81712 | + | 1.12393i | −0.564152 | + | 0.0811128i | ||||
\(193\) | −11.7939 | − | 3.46300i | −0.848944 | − | 0.249272i | −0.171808 | − | 0.985130i | \(-0.554961\pi\) |
−0.677136 | + | 0.735858i | \(0.736779\pi\) | |||||||
\(194\) | −9.23951 | + | 10.6630i | −0.663358 | + | 0.765556i | ||||
\(195\) | −6.40777 | − | 4.11803i | −0.458870 | − | 0.294898i | ||||
\(196\) | −0.146348 | − | 0.0959882i | −0.0104534 | − | 0.00685630i | ||||
\(197\) | 9.90291 | − | 11.4286i | 0.705553 | − | 0.814251i | −0.283939 | − | 0.958842i | \(-0.591641\pi\) |
0.989491 | + | 0.144591i | \(0.0461867\pi\) | |||||||
\(198\) | 1.45220 | − | 4.94574i | 0.103203 | − | 0.351478i | ||||
\(199\) | 0.379437 | + | 2.63904i | 0.0268976 | + | 0.187077i | 0.998841 | − | 0.0481395i | \(-0.0153292\pi\) |
−0.971943 | + | 0.235216i | \(0.924420\pi\) | |||||||
\(200\) | 2.35643 | + | 2.71947i | 0.166625 | + | 0.192295i | ||||
\(201\) | −1.93583 | − | 4.23888i | −0.136543 | − | 0.298988i | ||||
\(202\) | 5.28966 | + | 18.0149i | 0.372179 | + | 1.26752i | ||||
\(203\) | −1.58255 | − | 0.731643i | −0.111073 | − | 0.0513513i | ||||
\(204\) | 0.148391 | + | 0.0213354i | 0.0103894 | + | 0.00149378i | ||||
\(205\) | 3.69978 | + | 5.75697i | 0.258404 | + | 0.402085i | ||||
\(206\) | 15.7728 | 1.09894 | ||||||||
\(207\) | −3.98049 | − | 2.67502i | −0.276663 | − | 0.185927i | ||||
\(208\) | 15.9925i | 1.10888i | ||||||||
\(209\) | −9.95174 | − | 15.4852i | −0.688376 | − | 1.07113i | ||||
\(210\) | 1.06682 | − | 7.18249i | 0.0736174 | − | 0.495639i | ||||
\(211\) | −7.30605 | + | 15.9980i | −0.502969 | + | 1.10135i | 0.472524 | + | 0.881318i | \(0.343343\pi\) |
−0.975493 | + | 0.220031i | \(0.929384\pi\) | |||||||
\(212\) | 0.0428673 | + | 0.145993i | 0.00294414 | + | 0.0100268i | ||||
\(213\) | 2.72842 | − | 1.24603i | 0.186949 | − | 0.0853766i | ||||
\(214\) | −12.9328 | + | 11.2063i | −0.884067 | + | 0.766048i | ||||
\(215\) | −22.1901 | + | 3.19045i | −1.51335 | + | 0.217587i | ||||
\(216\) | 0.791802 | − | 2.69663i | 0.0538753 | − | 0.183482i | ||||
\(217\) | −16.0066 | + | 18.2999i | −1.08660 | + | 1.24228i | ||||
\(218\) | 5.62687 | − | 8.75558i | 0.381100 | − | 0.593002i | ||||
\(219\) | 1.66873 | + | 1.07242i | 0.112762 | + | 0.0724678i | ||||
\(220\) | −0.132006 | − | 0.114383i | −0.00889981 | − | 0.00771173i | ||||
\(221\) | −6.67160 | + | 22.7214i | −0.448781 | + | 1.52841i | ||||
\(222\) | 1.07698 | + | 7.49056i | 0.0722822 | + | 0.502734i | ||||
\(223\) | −14.1830 | + | 12.2896i | −0.949761 | + | 0.822972i | −0.984313 | − | 0.176431i | \(-0.943545\pi\) |
0.0345524 | + | 0.999403i | \(0.488999\pi\) | |||||||
\(224\) | −0.341089 | + | 0.153856i | −0.0227900 | + | 0.0102800i | ||||
\(225\) | −1.22848 | + | 0.360715i | −0.0818987 | + | 0.0240476i | ||||
\(226\) | −16.8765 | − | 7.70723i | −1.12261 | − | 0.512678i | ||||
\(227\) | 4.01755 | − | 27.9427i | 0.266654 | − | 1.85462i | −0.212857 | − | 0.977083i | \(-0.568277\pi\) |
0.479511 | − | 0.877536i | \(-0.340814\pi\) | |||||||
\(228\) | 0.0686924 | + | 0.106887i | 0.00454926 | + | 0.00707879i | ||||
\(229\) | 8.34445 | 0.551417 | 0.275708 | − | 0.961241i | \(-0.411088\pi\) | ||||
0.275708 | + | 0.961241i | \(0.411088\pi\) | |||||||
\(230\) | −11.2164 | + | 6.88743i | −0.739584 | + | 0.454144i | ||||
\(231\) | −0.0445884 | + | 9.58343i | −0.00293370 | + | 0.630544i | ||||
\(232\) | −1.55803 | + | 1.00129i | −0.102290 | + | 0.0657377i | ||||
\(233\) | 0.642081 | − | 4.46577i | 0.0420641 | − | 0.292562i | −0.957921 | − | 0.287033i | \(-0.907331\pi\) |
0.999985 | − | 0.00552898i | \(-0.00175994\pi\) | |||||||
\(234\) | −5.11219 | − | 2.33466i | −0.334195 | − | 0.152622i | ||||
\(235\) | −4.69623 | − | 15.9939i | −0.306348 | − | 1.04333i | ||||
\(236\) | 0.0830136 | − | 0.0379111i | 0.00540373 | − | 0.00246780i | ||||
\(237\) | 7.56868 | + | 8.73472i | 0.491639 | + | 0.567381i | ||||
\(238\) | −22.3598 | + | 3.10875i | −1.44937 | + | 0.201510i | ||||
\(239\) | −2.40495 | − | 0.706158i | −0.155563 | − | 0.0456775i | 0.203024 | − | 0.979174i | \(-0.434923\pi\) |
−0.358587 | + | 0.933496i | \(0.616741\pi\) | |||||||
\(240\) | −5.90225 | − | 5.11433i | −0.380989 | − | 0.330129i | ||||
\(241\) | −5.39208 | − | 3.46528i | −0.347334 | − | 0.223218i | 0.355328 | − | 0.934742i | \(-0.384369\pi\) |
−0.702662 | + | 0.711524i | \(0.748006\pi\) | |||||||
\(242\) | 2.53862 | + | 1.63147i | 0.163188 | + | 0.104875i | ||||
\(243\) | 0.755750 | + | 0.654861i | 0.0484814 | + | 0.0420093i | ||||
\(244\) | 0.199063 | + | 0.0584503i | 0.0127437 | + | 0.00374190i | ||||
\(245\) | 1.79689 | + | 13.3804i | 0.114799 | + | 0.854841i | ||||
\(246\) | 3.30657 | + | 3.81599i | 0.210819 | + | 0.243298i | ||||
\(247\) | −18.2561 | + | 8.33728i | −1.16161 | + | 0.530488i | ||||
\(248\) | 7.27608 | + | 24.7800i | 0.462031 | + | 1.57353i | ||||
\(249\) | 1.32389 | + | 0.604600i | 0.0838981 | + | 0.0383150i | ||||
\(250\) | −2.45300 | + | 17.0610i | −0.155141 | + | 1.07903i | ||||
\(251\) | 19.7115 | − | 12.6678i | 1.24418 | − | 0.799587i | 0.258143 | − | 0.966107i | \(-0.416889\pi\) |
0.986038 | + | 0.166520i | \(0.0532531\pi\) | |||||||
\(252\) | 0.000307774 | − | 0.0661501i | 1.93879e−5 | − | 0.00416707i | ||||
\(253\) | 13.3592 | − | 11.1044i | 0.839883 | − | 0.698125i | ||||
\(254\) | 17.7835 | 1.11584 | ||||||||
\(255\) | −6.25208 | − | 9.72843i | −0.391520 | − | 0.609218i | ||||
\(256\) | −0.0853847 | + | 0.593864i | −0.00533654 | + | 0.0371165i | ||||
\(257\) | 13.4785 | + | 6.15542i | 0.840765 | + | 0.383964i | 0.788774 | − | 0.614683i | \(-0.210716\pi\) |
0.0519906 | + | 0.998648i | \(0.483443\pi\) | |||||||
\(258\) | −15.8710 | + | 4.66015i | −0.988086 | + | 0.290128i | ||||
\(259\) | −5.78528 | − | 12.8256i | −0.359480 | − | 0.796942i | ||||
\(260\) | −0.143928 | + | 0.124714i | −0.00892602 | + | 0.00773444i | ||||
\(261\) | −0.0937822 | − | 0.652270i | −0.00580498 | − | 0.0403745i | ||||
\(262\) | −4.75764 | + | 16.2030i | −0.293928 | + | 1.00103i | ||||
\(263\) | 17.4595 | + | 15.1288i | 1.07660 | + | 0.932881i | 0.997949 | − | 0.0640215i | \(-0.0203926\pi\) |
0.0786530 | + | 0.996902i | \(0.474938\pi\) | |||||||
\(264\) | 8.56412 | + | 5.50383i | 0.527085 | + | 0.338737i | ||||
\(265\) | 6.34546 | − | 9.87373i | 0.389799 | − | 0.606539i | ||||
\(266\) | −14.4010 | − | 12.5964i | −0.882985 | − | 0.772333i | ||||
\(267\) | −1.77563 | + | 6.04724i | −0.108667 | + | 0.370085i | ||||
\(268\) | −0.115326 | + | 0.0165814i | −0.00704468 | + | 0.00101287i | ||||
\(269\) | −5.35499 | + | 4.64013i | −0.326500 | + | 0.282914i | −0.802650 | − | 0.596450i | \(-0.796577\pi\) |
0.476150 | + | 0.879364i | \(0.342032\pi\) | |||||||
\(270\) | 2.49649 | − | 1.14011i | 0.151932 | − | 0.0693848i | ||||
\(271\) | −4.46815 | − | 15.2171i | −0.271421 | − | 0.924375i | −0.976549 | − | 0.215295i | \(-0.930929\pi\) |
0.705128 | − | 0.709080i | \(-0.250889\pi\) | |||||||
\(272\) | −10.0864 | + | 22.0861i | −0.611576 | + | 1.33917i | ||||
\(273\) | 10.3357 | + | 1.53516i | 0.625544 | + | 0.0929123i | ||||
\(274\) | 4.03048 | + | 6.27155i | 0.243490 | + | 0.378878i | ||||
\(275\) | − | 4.63771i | − | 0.279664i | ||||||
\(276\) | −0.0922122 | + | 0.0766483i | −0.00555052 | + | 0.00461369i | ||||
\(277\) | 10.6506 | 0.639931 | 0.319966 | − | 0.947429i | \(-0.396329\pi\) | ||||
0.319966 | + | 0.947429i | \(0.396329\pi\) | |||||||
\(278\) | −8.60888 | − | 13.3957i | −0.516326 | − | 0.803419i | ||||
\(279\) | −9.09573 | − | 1.30777i | −0.544547 | − | 0.0782941i | ||||
\(280\) | 13.0172 | + | 6.01810i | 0.777925 | + | 0.359650i | ||||
\(281\) | 1.49354 | + | 5.08652i | 0.0890969 | + | 0.303436i | 0.991970 | − | 0.126470i | \(-0.0403648\pi\) |
−0.902873 | + | 0.429906i | \(0.858547\pi\) | |||||||
\(282\) | −5.10924 | − | 11.1877i | −0.304251 | − | 0.666216i | ||||
\(283\) | −0.882429 | − | 1.01838i | −0.0524550 | − | 0.0605362i | 0.728916 | − | 0.684603i | \(-0.240025\pi\) |
−0.781371 | + | 0.624067i | \(0.785479\pi\) | |||||||
\(284\) | −0.0106729 | − | 0.0742317i | −0.000633320 | − | 0.00440484i | ||||
\(285\) | 2.76123 | − | 9.40387i | 0.163561 | − | 0.557037i | ||||
\(286\) | 13.3311 | − | 15.3850i | 0.788287 | − | 0.909732i | ||||
\(287\) | −7.87384 | − | 5.11213i | −0.464778 | − | 0.301760i | ||||
\(288\) | −0.118977 | − | 0.0764618i | −0.00701078 | − | 0.00450556i | ||||
\(289\) | −12.4112 | + | 14.3233i | −0.730072 | + | 0.842548i | ||||
\(290\) | −1.73531 | − | 0.509532i | −0.101901 | − | 0.0299208i | ||||
\(291\) | 9.81395 | − | 1.41103i | 0.575304 | − | 0.0827163i | ||||
\(292\) | 0.0374820 | − | 0.0324783i | 0.00219347 | − | 0.00190065i | ||||
\(293\) | 4.08815 | + | 8.95179i | 0.238832 | + | 0.522969i | 0.990654 | − | 0.136396i | \(-0.0435521\pi\) |
−0.751822 | + | 0.659366i | \(0.770825\pi\) | |||||||
\(294\) | 2.71733 | + | 9.58338i | 0.158478 | + | 0.558914i | ||||
\(295\) | −6.40346 | − | 2.92436i | −0.372824 | − | 0.170263i | ||||
\(296\) | −14.7938 | − | 2.12703i | −0.859875 | − | 0.123631i | ||||
\(297\) | −3.04722 | + | 1.95833i | −0.176818 | + | 0.113634i | ||||
\(298\) | 31.0280i | 1.79740i | ||||||||
\(299\) | −9.91110 | − | 16.1405i | −0.573174 | − | 0.933428i | ||||
\(300\) | 0.0320120i | 0.00184821i | ||||||||
\(301\) | 25.9488 | − | 16.5062i | 1.49567 | − | 0.951403i | ||||
\(302\) | −2.15392 | + | 14.9808i | −0.123944 | + | 0.862049i | ||||
\(303\) | 5.48100 | − | 12.0017i | 0.314875 | − | 0.689481i | ||||
\(304\) | −19.7444 | + | 5.79748i | −1.13242 | + | 0.332508i | ||||
\(305\) | −6.64809 | − | 14.5573i | −0.380669 | − | 0.833548i | ||||
\(306\) | −5.58761 | − | 6.44844i | −0.319422 | − | 0.368633i | ||||
\(307\) | −19.7199 | + | 2.83529i | −1.12547 | + | 0.161819i | −0.679815 | − | 0.733384i | \(-0.737940\pi\) |
−0.445659 | + | 0.895203i | \(0.647031\pi\) | |||||||
\(308\) | 0.229591 | + | 0.0685760i | 0.0130822 | + | 0.00390748i | ||||
\(309\) | −8.37672 | − | 7.25847i | −0.476535 | − | 0.412920i | ||||
\(310\) | −13.6350 | + | 21.2164i | −0.774414 | + | 1.20501i | ||||
\(311\) | 11.9349 | − | 18.5710i | 0.676765 | − | 1.05307i | −0.317720 | − | 0.948185i | \(-0.602917\pi\) |
0.994485 | − | 0.104882i | \(-0.0334464\pi\) | |||||||
\(312\) | 7.26871 | − | 8.38853i | 0.411509 | − | 0.474907i | ||||
\(313\) | 11.7267 | + | 3.44326i | 0.662831 | + | 0.194625i | 0.595808 | − | 0.803127i | \(-0.296832\pi\) |
0.0670226 | + | 0.997751i | \(0.478650\pi\) | |||||||
\(314\) | 4.60009 | + | 31.9943i | 0.259598 | + | 1.80554i | ||||
\(315\) | −3.87187 | + | 3.32358i | −0.218155 | + | 0.187263i | ||||
\(316\) | 0.262859 | − | 0.120044i | 0.0147870 | − | 0.00675299i | ||||
\(317\) | 11.6226 | − | 3.41271i | 0.652792 | − | 0.191677i | 0.0614653 | − | 0.998109i | \(-0.480423\pi\) |
0.591327 | + | 0.806432i | \(0.298604\pi\) | |||||||
\(318\) | 3.59748 | − | 7.87738i | 0.201736 | − | 0.441741i | ||||
\(319\) | 2.36268 | + | 0.339701i | 0.132284 | + | 0.0190196i | ||||
\(320\) | 12.8135 | − | 8.23474i | 0.716297 | − | 0.460336i | ||||
\(321\) | 12.0255 | 0.671195 | ||||||||
\(322\) | 10.1410 | − | 14.9394i | 0.565136 | − | 0.832540i | ||||
\(323\) | −30.4704 | −1.69542 | ||||||||
\(324\) | 0.0210336 | − | 0.0135175i | 0.00116853 | − | 0.000750970i | ||||
\(325\) | −5.00509 | − | 0.719624i | −0.277633 | − | 0.0399176i | ||||
\(326\) | 9.45025 | − | 20.6932i | 0.523401 | − | 1.14609i | ||||
\(327\) | −7.01757 | + | 2.06054i | −0.388073 | + | 0.113948i | ||||
\(328\) | −9.07112 | + | 4.14264i | −0.500869 | + | 0.228739i | ||||
\(329\) | 14.8942 | + | 17.3512i | 0.821142 | + | 0.956605i | ||||
\(330\) | 1.41479 | + | 9.84006i | 0.0778815 | + | 0.541678i | ||||
\(331\) | 21.3431 | + | 6.26690i | 1.17312 | + | 0.344460i | 0.809519 | − | 0.587094i | \(-0.199728\pi\) |
0.363604 | + | 0.931554i | \(0.381546\pi\) | |||||||
\(332\) | 0.0238299 | − | 0.0275011i | 0.00130783 | − | 0.00150932i | ||||
\(333\) | 2.87510 | − | 4.47375i | 0.157555 | − | 0.245160i | ||||
\(334\) | 14.6741 | − | 22.8333i | 0.802931 | − | 1.24939i | ||||
\(335\) | 6.79227 | + | 5.88553i | 0.371101 | + | 0.321561i | ||||
\(336\) | 10.2655 | + | 3.06618i | 0.560030 | + | 0.167274i | ||||
\(337\) | −11.9857 | + | 1.72329i | −0.652904 | + | 0.0938734i | −0.460804 | − | 0.887502i | \(-0.652439\pi\) |
−0.192100 | + | 0.981375i | \(0.561530\pi\) | |||||||
\(338\) | −2.42066 | − | 2.79359i | −0.131666 | − | 0.151951i | ||||
\(339\) | 5.41609 | + | 11.8596i | 0.294162 | + | 0.644124i | ||||
\(340\) | −0.277424 | + | 0.0814590i | −0.0150454 | + | 0.00441773i | ||||
\(341\) | 13.8274 | − | 30.2777i | 0.748794 | − | 1.63963i | ||||
\(342\) | 1.02914 | − | 7.15786i | 0.0556498 | − | 0.387053i | ||||
\(343\) | −9.79437 | − | 15.7185i | −0.528846 | − | 0.848718i | ||||
\(344\) | − | 32.6685i | − | 1.76137i | ||||||
\(345\) | 9.12637 | + | 1.50382i | 0.491347 | + | 0.0809631i | ||||
\(346\) | − | 6.99945i | − | 0.376293i | ||||||
\(347\) | −23.7935 | + | 15.2911i | −1.27730 | + | 0.820871i | −0.990552 | − | 0.137136i | \(-0.956210\pi\) |
−0.286747 | + | 0.958006i | \(0.592574\pi\) | |||||||
\(348\) | −0.0163085 | − | 0.00234481i | −0.000874226 | − | 0.000125695i | ||||
\(349\) | 24.8251 | + | 11.3372i | 1.32885 | + | 0.606868i | 0.948148 | − | 0.317828i | \(-0.102953\pi\) |
0.380707 | + | 0.924696i | \(0.375681\pi\) | |||||||
\(350\) | −1.33655 | − | 4.63147i | −0.0714414 | − | 0.247562i | ||||
\(351\) | 1.64063 | + | 3.59248i | 0.0875704 | + | 0.191752i | ||||
\(352\) | 0.387160 | − | 0.335476i | 0.0206357 | − | 0.0178809i | ||||
\(353\) | −15.3535 | + | 2.20750i | −0.817183 | + | 0.117493i | −0.538216 | − | 0.842807i | \(-0.680901\pi\) |
−0.278968 | + | 0.960300i | \(0.589992\pi\) | |||||||
\(354\) | −4.98370 | − | 1.46335i | −0.264881 | − | 0.0777760i | ||||
\(355\) | −3.78832 | + | 4.37195i | −0.201063 | + | 0.232039i | ||||
\(356\) | 0.132565 | + | 0.0851943i | 0.00702592 | + | 0.00451529i | ||||
\(357\) | 13.3056 | + | 8.63874i | 0.704208 | + | 0.457210i | ||||
\(358\) | 3.18407 | − | 3.67462i | 0.168284 | − | 0.194210i | ||||
\(359\) | −2.71202 | + | 9.23629i | −0.143135 | + | 0.487473i | −0.999587 | − | 0.0287545i | \(-0.990846\pi\) |
0.856452 | + | 0.516227i | \(0.172664\pi\) | |||||||
\(360\) | 0.771402 | + | 5.36522i | 0.0406565 | + | 0.282772i | ||||
\(361\) | −4.46890 | − | 5.15738i | −0.235205 | − | 0.271441i | ||||
\(362\) | 8.91232 | + | 19.5153i | 0.468421 | + | 1.02570i | ||||
\(363\) | −0.597440 | − | 2.03469i | −0.0313575 | − | 0.106794i | ||||
\(364\) | 0.109634 | − | 0.237138i | 0.00574636 | − | 0.0124294i | ||||
\(365\) | −3.78675 | − | 0.544452i | −0.198207 | − | 0.0284979i | ||||
\(366\) | −6.38389 | − | 9.93352i | −0.333691 | − | 0.519234i | ||||
\(367\) | −0.520178 | −0.0271531 | −0.0135765 | − | 0.999908i | \(-0.504322\pi\) | ||||
−0.0135765 | + | 0.999908i | \(0.504322\pi\) | |||||||
\(368\) | −7.70343 | − | 17.8269i | −0.401569 | − | 0.929293i | ||||
\(369\) | − | 3.54826i | − | 0.184715i | ||||||
\(370\) | −7.89074 | − | 12.2782i | −0.410220 | − | 0.638315i | ||||
\(371\) | −2.36553 | + | 15.9263i | −0.122812 | + | 0.826850i | ||||
\(372\) | −0.0954442 | + | 0.208994i | −0.00494855 | + | 0.0108358i | ||||
\(373\) | 10.3807 | + | 35.3533i | 0.537490 | + | 1.83052i | 0.556707 | + | 0.830709i | \(0.312065\pi\) |
−0.0192169 | + | 0.999815i | \(0.506117\pi\) | |||||||
\(374\) | 28.1138 | − | 12.8391i | 1.45373 | − | 0.663896i | ||||
\(375\) | 9.15404 | − | 7.93202i | 0.472713 | − | 0.409608i | ||||
\(376\) | 24.0435 | − | 3.45693i | 1.23995 | − | 0.178278i | ||||
\(377\) | 0.733223 | − | 2.49713i | 0.0377629 | − | 0.128609i | ||||
\(378\) | −2.47874 | + | 2.83387i | −0.127493 | + | 0.145759i | ||||
\(379\) | −8.61363 | + | 13.4031i | −0.442453 | + | 0.688470i | −0.988826 | − | 0.149072i | \(-0.952371\pi\) |
0.546374 | + | 0.837541i | \(0.316008\pi\) | |||||||
\(380\) | −0.206147 | − | 0.132483i | −0.0105751 | − | 0.00679623i | ||||
\(381\) | −9.44457 | − | 8.18377i | −0.483860 | − | 0.419267i | ||||
\(382\) | −3.61256 | + | 12.3033i | −0.184835 | + | 0.629489i | ||||
\(383\) | 2.53119 | + | 17.6048i | 0.129338 | + | 0.899565i | 0.946396 | + | 0.323009i | \(0.104694\pi\) |
−0.817058 | + | 0.576556i | \(0.804396\pi\) | |||||||
\(384\) | 8.70715 | − | 7.54479i | 0.444335 | − | 0.385018i | ||||
\(385\) | −7.59989 | − | 16.8485i | −0.387326 | − | 0.858677i | ||||
\(386\) | 16.7830 | − | 4.92794i | 0.854234 | − | 0.250826i | ||||
\(387\) | 10.5734 | + | 4.82872i | 0.537478 | + | 0.245458i | ||||
\(388\) | 0.0352796 | − | 0.245375i | 0.00179105 | − | 0.0124570i | ||||
\(389\) | 3.67229 | + | 5.71419i | 0.186192 | + | 0.289721i | 0.921784 | − | 0.387705i | \(-0.126732\pi\) |
−0.735591 | + | 0.677426i | \(0.763096\pi\) | |||||||
\(390\) | 10.8391 | 0.548859 | ||||||||
\(391\) | −3.50779 | − | 28.5412i | −0.177396 | − | 1.44339i | ||||
\(392\) | −19.6725 | − | 0.183062i | −0.993609 | − | 0.00924604i | ||||
\(393\) | 9.98317 | − | 6.41579i | 0.503584 | − | 0.323634i | ||||
\(394\) | −3.06250 | + | 21.3002i | −0.154287 | + | 1.07309i | ||||
\(395\) | −20.2763 | − | 9.25987i | −1.02021 | − | 0.465914i | ||||
\(396\) | 0.0255153 | + | 0.0868970i | 0.00128219 | + | 0.00436674i | ||||
\(397\) | 15.3027 | − | 6.98850i | 0.768020 | − | 0.350743i | 0.00742726 | − | 0.999972i | \(-0.497636\pi\) |
0.760593 | + | 0.649230i | \(0.224909\pi\) | |||||||
\(398\) | −2.48457 | − | 2.86735i | −0.124540 | − | 0.143727i | ||||
\(399\) | 1.85149 | + | 13.3170i | 0.0926905 | + | 0.666682i | ||||
\(400\) | −4.97459 | − | 1.46067i | −0.248729 | − | 0.0730335i | ||||
\(401\) | −6.13210 | − | 5.31350i | −0.306223 | − | 0.265343i | 0.488169 | − | 0.872749i | \(-0.337665\pi\) |
−0.794392 | + | 0.607406i | \(0.792210\pi\) | |||||||
\(402\) | 5.57860 | + | 3.58515i | 0.278235 | + | 0.178811i | ||||
\(403\) | −30.5307 | − | 19.6209i | −1.52084 | − | 0.977386i | ||||
\(404\) | −0.249311 | − | 0.216029i | −0.0124037 | − | 0.0107479i | ||||
\(405\) | −1.85052 | − | 0.543361i | −0.0919530 | − | 0.0269998i | ||||
\(406\) | 2.45739 | − | 0.341658i | 0.121958 | − | 0.0169562i | ||||
\(407\) | 12.6145 | + | 14.5579i | 0.625278 | + | 0.721610i | ||||
\(408\) | 15.3288 | − | 7.00045i | 0.758891 | − | 0.346574i | ||||
\(409\) | 9.07159 | + | 30.8950i | 0.448561 | + | 1.52766i | 0.804962 | + | 0.593326i | \(0.202185\pi\) |
−0.356401 | + | 0.934333i | \(0.615996\pi\) | |||||||
\(410\) | −8.85821 | − | 4.04541i | −0.437476 | − | 0.199788i | ||||
\(411\) | 0.745564 | − | 5.18551i | 0.0367760 | − | 0.255783i | ||||
\(412\) | −0.233136 | + | 0.149827i | −0.0114858 | + | 0.00738147i | ||||
\(413\) | 9.65699 | + | 0.0449306i | 0.475189 | + | 0.00221089i | ||||
\(414\) | 6.82316 | + | 0.139966i | 0.335340 | + | 0.00687897i | ||||
\(415\) | −2.80697 | −0.137789 | ||||||||
\(416\) | −0.301977 | − | 0.469885i | −0.0148056 | − | 0.0230380i | ||||
\(417\) | −1.59248 | + | 11.0760i | −0.0779843 | + | 0.542393i | ||||
\(418\) | 23.8270 | + | 10.8814i | 1.16541 | + | 0.532227i | ||||
\(419\) | −26.8897 | + | 7.89552i | −1.31365 | + | 0.385722i | −0.862196 | − | 0.506574i | \(-0.830912\pi\) |
−0.451451 | + | 0.892296i | \(0.649093\pi\) | |||||||
\(420\) | 0.0524586 | + | 0.116297i | 0.00255972 | + | 0.00567473i | ||||
\(421\) | 19.9036 | − | 17.2465i | 0.970041 | − | 0.840545i | −0.0171880 | − | 0.999852i | \(-0.505471\pi\) |
0.987229 | + | 0.159307i | \(0.0509259\pi\) | |||||||
\(422\) | −3.56175 | − | 24.7725i | −0.173383 | − | 1.20591i | ||||
\(423\) | −2.43500 | + | 8.29283i | −0.118394 | + | 0.403211i | ||||
\(424\) | 12.9259 | + | 11.2003i | 0.627736 | + | 0.543937i | ||||
\(425\) | −6.45829 | − | 4.15049i | −0.313273 | − | 0.201328i | ||||
\(426\) | −2.30764 | + | 3.59076i | −0.111805 | + | 0.173973i | ||||
\(427\) | 16.5246 | + | 14.4538i | 0.799682 | + | 0.699469i | ||||
\(428\) | 0.0847080 | − | 0.288489i | 0.00409452 | − | 0.0139446i | ||||
\(429\) | −14.1600 | + | 2.03590i | −0.683650 | + | 0.0982940i | ||||
\(430\) | 24.1097 | − | 20.8912i | 1.16267 | − | 1.00746i | ||||
\(431\) | 23.0534 | − | 10.5281i | 1.11044 | − | 0.507122i | 0.226167 | − | 0.974089i | \(-0.427381\pi\) |
0.884275 | + | 0.466967i | \(0.154653\pi\) | |||||||
\(432\) | 1.14084 | + | 3.88535i | 0.0548888 | + | 0.186934i | ||||
\(433\) | −7.81419 | + | 17.1107i | −0.375526 | + | 0.822287i | 0.623650 | + | 0.781703i | \(0.285649\pi\) |
−0.999176 | + | 0.0405835i | \(0.987078\pi\) | |||||||
\(434\) | 5.08299 | − | 34.2219i | 0.243991 | − | 1.64270i | ||||
\(435\) | 0.687117 | + | 1.06917i | 0.0329447 | + | 0.0512630i | ||||
\(436\) | 0.182865i | 0.00875766i | ||||||||
\(437\) | 16.3341 | − | 18.0873i | 0.781368 | − | 0.865235i | ||||
\(438\) | −2.82274 | −0.134876 | ||||||||
\(439\) | −16.5158 | − | 25.6991i | −0.788255 | − | 1.22655i | −0.969976 | − | 0.243199i | \(-0.921803\pi\) |
0.181721 | − | 0.983350i | \(-0.441833\pi\) | |||||||
\(440\) | −19.4341 | − | 2.79420i | −0.926484 | − | 0.133208i | ||||
\(441\) | 2.96703 | − | 6.34009i | 0.141287 | − | 0.301909i | ||||
\(442\) | −9.49386 | − | 32.3331i | −0.451577 | − | 1.53793i | ||||
\(443\) | 6.13047 | + | 13.4239i | 0.291267 | + | 0.637786i | 0.997536 | − | 0.0701575i | \(-0.0223502\pi\) |
−0.706269 | + | 0.707944i | \(0.749623\pi\) | |||||||
\(444\) | −0.0870723 | − | 0.100487i | −0.00413227 | − | 0.00476889i | ||||
\(445\) | −1.72988 | − | 12.0316i | −0.0820043 | − | 0.570353i | ||||
\(446\) | 7.52382 | − | 25.6238i | 0.356263 | − | 1.21332i | ||||
\(447\) | 14.2788 | − | 16.4786i | 0.675362 | − | 0.779409i | ||||
\(448\) | −11.3783 | + | 17.5251i | −0.537572 | + | 0.827983i | ||||
\(449\) | 0.438166 | + | 0.281592i | 0.0206783 | + | 0.0132891i | 0.550939 | − | 0.834545i | \(-0.314270\pi\) |
−0.530261 | + | 0.847835i | \(0.677906\pi\) | |||||||
\(450\) | 1.19313 | − | 1.37695i | 0.0562448 | − | 0.0649099i | ||||
\(451\) | 12.3320 | + | 3.62101i | 0.580693 | + | 0.170507i | ||||
\(452\) | 0.322661 | − | 0.0463917i | 0.0151767 | − | 0.00218208i | ||||
\(453\) | 8.03792 | − | 6.96490i | 0.377655 | − | 0.327239i | ||||
\(454\) | 16.6881 | + | 36.5418i | 0.783209 | + | 1.71499i | ||||
\(455\) | −19.3624 | + | 5.58759i | −0.907723 | + | 0.261950i | ||||
\(456\) | 12.9915 | + | 5.93301i | 0.608381 | + | 0.277839i | ||||
\(457\) | 18.0033 | + | 2.58848i | 0.842158 | + | 0.121084i | 0.549874 | − | 0.835247i | \(-0.314676\pi\) |
0.292284 | + | 0.956332i | \(0.405585\pi\) | |||||||
\(458\) | −9.98935 | + | 6.41977i | −0.466772 | + | 0.299976i | ||||
\(459\) | 5.99604i | 0.279871i | ||||||||
\(460\) | 0.100363 | − | 0.208347i | 0.00467946 | − | 0.00971425i | ||||
\(461\) | − | 15.0499i | − | 0.700943i | −0.936573 | − | 0.350472i | \(-0.886021\pi\) | ||
0.936573 | − | 0.350472i | \(-0.113979\pi\) | |||||||
\(462\) | −7.31960 | − | 11.5069i | −0.340538 | − | 0.535348i | ||||
\(463\) | 3.05618 | − | 21.2562i | 0.142033 | − | 0.987859i | −0.786760 | − | 0.617259i | \(-0.788243\pi\) |
0.928793 | − | 0.370600i | \(-0.120848\pi\) | |||||||
\(464\) | 1.10851 | − | 2.42731i | 0.0514615 | − | 0.112685i | ||||
\(465\) | 17.0049 | − | 4.99309i | 0.788583 | − | 0.231549i | ||||
\(466\) | 2.66707 | + | 5.84007i | 0.123550 | + | 0.270536i | ||||
\(467\) | 3.30781 | + | 3.81741i | 0.153067 | + | 0.176649i | 0.827104 | − | 0.562049i | \(-0.189987\pi\) |
−0.674037 | + | 0.738697i | \(0.735441\pi\) | |||||||
\(468\) | 0.0977399 | − | 0.0140529i | 0.00451803 | − | 0.000649595i | ||||
\(469\) | −11.8135 | − | 3.52854i | −0.545496 | − | 0.162933i | ||||
\(470\) | 17.9268 | + | 15.5337i | 0.826903 | + | 0.716515i | ||||
\(471\) | 12.2804 | − | 19.1087i | 0.565850 | − | 0.880480i | ||||
\(472\) | 5.54607 | − | 8.62986i | 0.255279 | − | 0.397221i | ||||
\(473\) | −27.5725 | + | 31.8203i | −1.26778 | + | 1.46310i | ||||
\(474\) | −15.7807 | − | 4.63363i | −0.724831 | − | 0.212829i | ||||
\(475\) | −0.925956 | − | 6.44016i | −0.0424858 | − | 0.295495i | ||||
\(476\) | 0.300968 | − | 0.258348i | 0.0137948 | − | 0.0118414i | ||||
\(477\) | −5.53565 | + | 2.52805i | −0.253460 | + | 0.115751i | ||||
\(478\) | 3.42231 | − | 1.00488i | 0.156533 | − | 0.0459622i | ||||
\(479\) | −1.76548 | + | 3.86587i | −0.0806671 | + | 0.176636i | −0.945668 | − | 0.325134i | \(-0.894591\pi\) |
0.865001 | + | 0.501770i | \(0.167318\pi\) | |||||||
\(480\) | 0.269988 | + | 0.0388184i | 0.0123232 | + | 0.00177181i | ||||
\(481\) | 17.6685 | − | 11.3549i | 0.805616 | − | 0.517738i | ||||
\(482\) | 9.12099 | 0.415450 | ||||||||
\(483\) | −12.2607 | + | 3.26733i | −0.557881 | + | 0.148669i | ||||
\(484\) | −0.0530205 | −0.00241002 | ||||||||
\(485\) | −16.0866 | + | 10.3383i | −0.730457 | + | 0.469436i | ||||
\(486\) | −1.40854 | − | 0.202518i | −0.0638927 | − | 0.00918639i | ||||
\(487\) | −7.27953 | + | 15.9399i | −0.329867 | + | 0.722308i | −0.999798 | − | 0.0201157i | \(-0.993597\pi\) |
0.669931 | + | 0.742424i | \(0.266324\pi\) | |||||||
\(488\) | 22.3761 | − | 6.57022i | 1.01292 | − | 0.297420i | ||||
\(489\) | −14.5417 | + | 6.64096i | −0.657597 | + | 0.300314i | ||||
\(490\) | −12.4452 | − | 14.6356i | −0.562219 | − | 0.661167i | ||||
\(491\) | −1.85645 | − | 12.9119i | −0.0837803 | − | 0.582705i | −0.987861 | − | 0.155343i | \(-0.950352\pi\) |
0.904080 | − | 0.427363i | \(-0.140557\pi\) | |||||||
\(492\) | −0.0851224 | − | 0.0249942i | −0.00383762 | − | 0.00112683i | ||||
\(493\) | 2.58752 | − | 2.98616i | 0.116536 | − | 0.134490i | ||||
\(494\) | 15.4406 | − | 24.0260i | 0.694705 | − | 1.08098i | ||||
\(495\) | 3.77691 | − | 5.87699i | 0.169760 | − | 0.264151i | ||||
\(496\) | −28.1221 | − | 24.3679i | −1.26272 | − | 1.09415i | ||||
\(497\) | 2.27120 | − | 7.60394i | 0.101877 | − | 0.341083i | ||||
\(498\) | −2.05001 | + | 0.294747i | −0.0918631 | + | 0.0132079i | ||||
\(499\) | −15.7897 | − | 18.2223i | −0.706845 | − | 0.815742i | 0.282815 | − | 0.959174i | \(-0.408732\pi\) |
−0.989660 | + | 0.143432i | \(0.954186\pi\) | |||||||
\(500\) | −0.125807 | − | 0.275478i | −0.00562624 | − | 0.0123197i | ||||
\(501\) | −18.3009 | + | 5.37362i | −0.817622 | + | 0.240076i | ||||
\(502\) | −13.8512 | + | 30.3300i | −0.618211 | + | 1.35369i | ||||
\(503\) | −5.88442 | + | 40.9271i | −0.262373 | + | 1.82485i | 0.252519 | + | 0.967592i | \(0.418741\pi\) |
−0.514892 | + | 0.857255i | \(0.672168\pi\) | |||||||
\(504\) | −3.99096 | − | 6.27404i | −0.177771 | − | 0.279468i | ||||
\(505\) | 25.4466i | 1.13236i | ||||||||
\(506\) | −7.44950 | + | 23.5711i | −0.331171 | + | 1.04786i | ||||
\(507\) | 2.59760i | 0.115363i | ||||||||
\(508\) | −0.262856 | + | 0.168927i | −0.0116623 | + | 0.00749493i | ||||
\(509\) | −37.9634 | − | 5.45832i | −1.68270 | − | 0.241936i | −0.766381 | − | 0.642386i | \(-0.777945\pi\) |
−0.916319 | + | 0.400450i | \(0.868854\pi\) | |||||||
\(510\) | 14.9690 | + | 6.83614i | 0.662841 | + | 0.302709i | ||||
\(511\) | 5.04240 | − | 1.45513i | 0.223063 | − | 0.0643713i | ||||
\(512\) | 9.21750 | + | 20.1835i | 0.407360 | + | 0.891993i | ||||
\(513\) | −3.84053 | + | 3.32784i | −0.169564 | + | 0.146928i | ||||
\(514\) | −20.8711 | + | 3.00081i | −0.920584 | + | 0.132360i | ||||
\(515\) | 20.5111 | + | 6.02261i | 0.903828 | + | 0.265388i | ||||
\(516\) | 0.190320 | − | 0.219641i | 0.00837839 | − | 0.00966917i | ||||
\(517\) | −26.3369 | − | 16.9257i | −1.15830 | − | 0.744392i | ||||
\(518\) | 16.7930 | + | 10.9029i | 0.737842 | + | 0.479048i | ||||
\(519\) | −3.22107 | + | 3.71731i | −0.141389 | + | 0.163172i | ||||
\(520\) | −6.03110 | + | 20.5400i | −0.264481 | + | 0.900740i | ||||
\(521\) | 4.51939 | + | 31.4331i | 0.197998 | + | 1.37711i | 0.810083 | + | 0.586316i | \(0.199422\pi\) |
−0.612085 | + | 0.790792i | \(0.709669\pi\) | |||||||
\(522\) | 0.614090 | + | 0.708698i | 0.0268780 | + | 0.0310189i | ||||
\(523\) | −11.0201 | − | 24.1307i | −0.481877 | − | 1.05516i | −0.981943 | − | 0.189177i | \(-0.939418\pi\) |
0.500066 | − | 0.865987i | \(-0.333309\pi\) | |||||||
\(524\) | −0.0835920 | − | 0.284688i | −0.00365173 | − | 0.0124367i | ||||
\(525\) | −1.42153 | + | 3.07477i | −0.0620405 | + | 0.134194i | ||||
\(526\) | −32.5405 | − | 4.67862i | −1.41883 | − | 0.203998i | ||||
\(527\) | −29.7889 | − | 46.3524i | −1.29762 | − | 2.01914i | ||||
\(528\) | −14.6678 | −0.638335 | ||||||||
\(529\) | 18.8226 | + | 13.2178i | 0.818374 | + | 0.574685i | ||||
\(530\) | 16.7020i | 0.725486i | ||||||||
\(531\) | 1.97336 | + | 3.07061i | 0.0856365 | + | 0.133253i | ||||
\(532\) | 0.332514 | + | 0.0493884i | 0.0144163 | + | 0.00214126i | ||||
\(533\) | 5.82139 | − | 12.7471i | 0.252153 | − | 0.552137i | ||||
\(534\) | −2.52677 | − | 8.60538i | −0.109344 | − | 0.372391i | ||||
\(535\) | −21.0969 | + | 9.63463i | −0.912098 | + | 0.416541i | ||||
\(536\) | −9.89789 | + | 8.57657i | −0.427524 | + | 0.370452i | ||||
\(537\) | −3.38204 | + | 0.486263i | −0.145946 | + | 0.0209838i | ||||
\(538\) | 2.84074 | − | 9.67466i | 0.122473 | − | 0.417104i | ||||
\(539\) | 19.0072 | + | 16.7820i | 0.818698 | + | 0.722852i | ||||
\(540\) | −0.0260703 | + | 0.0405662i | −0.00112189 | + | 0.00174569i | ||||
\(541\) | 0.925855 | + | 0.595011i | 0.0398056 | + | 0.0255815i | 0.560392 | − | 0.828227i | \(-0.310650\pi\) |
−0.520587 | + | 0.853809i | \(0.674287\pi\) | |||||||
\(542\) | 17.0562 | + | 14.7793i | 0.732625 | + | 0.634823i | ||||
\(543\) | 4.24749 | − | 14.4656i | 0.182277 | − | 0.620780i | ||||
\(544\) | −0.120684 | − | 0.839377i | −0.00517429 | − | 0.0359880i | ||||
\(545\) | 10.6604 | − | 9.23731i | 0.456642 | − | 0.395683i | ||||
\(546\) | −13.5542 | + | 6.11394i | −0.580066 | + | 0.261652i | ||||
\(547\) | 22.7293 | − | 6.67394i | 0.971837 | − | 0.285357i | 0.242986 | − | 0.970030i | \(-0.421873\pi\) |
0.728851 | + | 0.684673i | \(0.240055\pi\) | |||||||
\(548\) | −0.119148 | − | 0.0544131i | −0.00508975 | − | 0.00232441i | ||||
\(549\) | −1.18090 | + | 8.21335i | −0.0503997 | + | 0.350537i | ||||
\(550\) | 3.56800 | + | 5.55192i | 0.152140 | + | 0.236735i | ||||
\(551\) | 3.34876 | 0.142662 | ||||||||
\(552\) | −4.06178 | + | 12.8520i | −0.172881 | + | 0.547016i | ||||
\(553\) | 30.5784 | + | 0.142271i | 1.30033 | + | 0.00604997i | ||||
\(554\) | −12.7501 | + | 8.19398i | −0.541699 | + | 0.348129i | ||||
\(555\) | −1.45964 | + | 10.1520i | −0.0619584 | + | 0.430930i | ||||
\(556\) | 0.254494 | + | 0.116223i | 0.0107929 | + | 0.00492897i | ||||
\(557\) | 1.61221 | + | 5.49067i | 0.0683113 | + | 0.232647i | 0.986571 | − | 0.163331i | \(-0.0522238\pi\) |
−0.918260 | + | 0.395978i | \(0.870406\pi\) | |||||||
\(558\) | 11.8949 | − | 5.43220i | 0.503550 | − | 0.229963i | ||||
\(559\) | 30.0627 | + | 34.6942i | 1.27152 | + | 1.46741i | ||||
\(560\) | −20.4659 | + | 2.84543i | −0.864844 | + | 0.120241i | ||||
\(561\) | −20.8393 | − | 6.11897i | −0.879835 | − | 0.258343i | ||||
\(562\) | −5.70124 | − | 4.94016i | −0.240492 | − | 0.208388i | ||||
\(563\) | −19.0851 | − | 12.2653i | −0.804341 | − | 0.516919i | 0.0726884 | − | 0.997355i | \(-0.476842\pi\) |
−0.877030 | + | 0.480436i | \(0.840479\pi\) | |||||||
\(564\) | 0.181792 | + | 0.116830i | 0.00765482 | + | 0.00491945i | ||||
\(565\) | −19.0035 | − | 16.4666i | −0.799482 | − | 0.692755i | ||||
\(566\) | 1.83986 | + | 0.540232i | 0.0773352 | + | 0.0227077i | ||||
\(567\) | 2.62054 | − | 0.364341i | 0.110053 | − | 0.0153009i | ||||
\(568\) | −5.52045 | − | 6.37094i | −0.231633 | − | 0.267319i | ||||
\(569\) | 18.8193 | − | 8.59449i | 0.788946 | − | 0.360300i | 0.0201527 | − | 0.999797i | \(-0.493585\pi\) |
0.768793 | + | 0.639497i | \(0.220857\pi\) | |||||||
\(570\) | 3.92929 | + | 13.3819i | 0.164580 | + | 0.560508i | ||||
\(571\) | −6.33950 | − | 2.89515i | −0.265300 | − | 0.121158i | 0.278324 | − | 0.960487i | \(-0.410221\pi\) |
−0.543624 | + | 0.839329i | \(0.682948\pi\) | |||||||
\(572\) | −0.0509028 | + | 0.354037i | −0.00212835 | + | 0.0148030i | ||||
\(573\) | 7.58040 | − | 4.87163i | 0.316676 | − | 0.203515i | ||||
\(574\) | 13.3590 | + | 0.0621547i | 0.557593 | + | 0.00259429i | ||||
\(575\) | 5.92583 | − | 1.60873i | 0.247124 | − | 0.0670887i | ||||
\(576\) | −7.89750 | −0.329063 | ||||||||
\(577\) | −0.790946 | − | 1.23074i | −0.0329275 | − | 0.0512362i | 0.824400 | − | 0.566008i | \(-0.191513\pi\) |
−0.857327 | + | 0.514772i | \(0.827877\pi\) | |||||||
\(578\) | 3.83821 | − | 26.6953i | 0.159648 | − | 1.11038i | ||||
\(579\) | −11.1810 | − | 5.10620i | −0.464667 | − | 0.212206i | ||||
\(580\) | 0.0304895 | − | 0.00895252i | 0.00126601 | − | 0.000371733i | ||||
\(581\) | 3.51009 | − | 1.58331i | 0.145623 | − | 0.0656867i | ||||
\(582\) | −10.6630 | + | 9.23951i | −0.441994 | + | 0.382990i | ||||
\(583\) | −3.13711 | − | 21.8191i | −0.129926 | − | 0.903654i | ||||
\(584\) | 1.57063 | − | 5.34908i | 0.0649932 | − | 0.221347i | ||||
\(585\) | −5.75650 | − | 4.98803i | −0.238002 | − | 0.206230i | ||||
\(586\) | −11.7811 | − | 7.57122i | −0.486671 | − | 0.312764i | ||||
\(587\) | −0.846578 | + | 1.31730i | −0.0349420 | + | 0.0543708i | −0.858285 | − | 0.513173i | \(-0.828470\pi\) |
0.823343 | + | 0.567544i | \(0.192106\pi\) | |||||||
\(588\) | −0.131198 | − | 0.115839i | −0.00541052 | − | 0.00477711i | ||||
\(589\) | 13.1562 | − | 44.8060i | 0.542093 | − | 1.84620i | ||||
\(590\) | 9.91559 | − | 1.42565i | 0.408218 | − | 0.0586929i | ||||
\(591\) | 11.4286 | − | 9.90291i | 0.470108 | − | 0.407351i | ||||
\(592\) | 19.5884 | − | 8.94573i | 0.805079 | − | 0.367667i | ||||
\(593\) | −8.78324 | − | 29.9130i | −0.360684 | − | 1.22838i | −0.917498 | − | 0.397741i | \(-0.869794\pi\) |
0.556814 | − | 0.830637i | \(-0.312024\pi\) | |||||||
\(594\) | 2.14127 | − | 4.68873i | 0.0878574 | − | 0.192381i | ||||
\(595\) | −30.2640 | − | 4.49512i | −1.24070 | − | 0.184282i | ||||
\(596\) | −0.294738 | − | 0.458622i | −0.0120729 | − | 0.0187859i | ||||
\(597\) | 2.66618i | 0.109120i | ||||||||
\(598\) | 24.2824 | + | 11.6971i | 0.992983 | + | 0.478330i | ||||
\(599\) | 44.5651 | 1.82088 | 0.910441 | − | 0.413639i | \(-0.135742\pi\) | ||||
0.910441 | + | 0.413639i | \(0.135742\pi\) | |||||||
\(600\) | 1.94543 | + | 3.02714i | 0.0794217 | + | 0.123583i | ||||
\(601\) | −8.60352 | − | 1.23700i | −0.350945 | − | 0.0504582i | −0.0354116 | − | 0.999373i | \(-0.511274\pi\) |
−0.315533 | + | 0.948915i | \(0.602183\pi\) | |||||||
\(602\) | −18.3650 | + | 39.7236i | −0.748503 | + | 1.61902i | ||||
\(603\) | −1.31287 | − | 4.47123i | −0.0534643 | − | 0.182083i | ||||
\(604\) | −0.110467 | − | 0.241890i | −0.00449486 | − | 0.00984236i | ||||
\(605\) | 2.67829 | + | 3.09091i | 0.108888 | + | 0.125663i | ||||
\(606\) | 2.67203 | + | 18.5843i | 0.108544 | + | 0.754937i | ||||
\(607\) | 5.74630 | − | 19.5701i | 0.233235 | − | 0.794326i | −0.756817 | − | 0.653627i | \(-0.773247\pi\) |
0.990052 | − | 0.140700i | \(-0.0449352\pi\) | |||||||
\(608\) | 0.470650 | − | 0.543159i | 0.0190874 | − | 0.0220280i | ||||
\(609\) | −1.46232 | − | 0.949416i | −0.0592560 | − | 0.0384723i | ||||
\(610\) | 19.1582 | + | 12.3122i | 0.775693 | + | 0.498507i | ||||
\(611\) | −22.3532 | + | 25.7969i | −0.904312 | + | 1.04363i | ||||
\(612\) | 0.143844 | + | 0.0422365i | 0.00581456 | + | 0.00170731i | ||||
\(613\) | 22.7573 | − | 3.27200i | 0.919158 | − | 0.132155i | 0.333534 | − | 0.942738i | \(-0.391759\pi\) |
0.585624 | + | 0.810583i | \(0.300850\pi\) | |||||||
\(614\) | 21.4259 | − | 18.5656i | 0.864678 | − | 0.749248i | ||||
\(615\) | 2.84282 | + | 6.22491i | 0.114634 | + | 0.251013i | ||||
\(616\) | 25.8783 | − | 7.46794i | 1.04266 | − | 0.300892i | ||||
\(617\) | −6.25653 | − | 2.85726i | −0.251878 | − | 0.115029i | 0.285475 | − | 0.958386i | \(-0.407849\pi\) |
−0.537353 | + | 0.843357i | \(0.680576\pi\) | |||||||
\(618\) | 15.6123 | + | 2.24470i | 0.628017 | + | 0.0902953i | ||||
\(619\) | −28.6401 | + | 18.4059i | −1.15114 | + | 0.739794i | −0.969866 | − | 0.243638i | \(-0.921659\pi\) |
−0.181276 | + | 0.983432i | \(0.558023\pi\) | |||||||
\(620\) | − | 0.443117i | − | 0.0177960i | ||||||
\(621\) | −3.55927 | − | 3.21428i | −0.142829 | − | 0.128984i | ||||
\(622\) | 31.4139i | 1.25958i | ||||||||
\(623\) | 8.94979 | + | 14.0696i | 0.358566 | + | 0.563688i | ||||
\(624\) | −2.27598 | + | 15.8298i | −0.0911119 | + | 0.633697i | ||||
\(625\) | −7.04502 | + | 15.4264i | −0.281801 | + | 0.617058i | ||||
\(626\) | −16.6874 | + | 4.89985i | −0.666961 | + | 0.195837i | ||||
\(627\) | −7.64667 | − | 16.7439i | −0.305379 | − | 0.668686i | ||||
\(628\) | −0.371910 | − | 0.429208i | −0.0148408 | − | 0.0171272i | ||||
\(629\) | 31.5621 | − | 4.53795i | 1.25846 | − | 0.180940i | ||||
\(630\) | 2.07813 | − | 6.95755i | 0.0827948 | − | 0.277196i | ||||
\(631\) | −21.6672 | − | 18.7747i | −0.862557 | − | 0.747410i | 0.106483 | − | 0.994315i | \(-0.466041\pi\) |
−0.969040 | + | 0.246905i | \(0.920586\pi\) | |||||||
\(632\) | 17.5614 | − | 27.3261i | 0.698555 | − | 1.08697i | ||||
\(633\) | −9.50844 | + | 14.7954i | −0.377927 | + | 0.588065i | ||||
\(634\) | −11.2882 | + | 13.0273i | −0.448311 | + | 0.517379i | ||||
\(635\) | 23.1258 | + | 6.79036i | 0.917721 | + | 0.269467i | ||||
\(636\) | 0.0216541 | + | 0.150607i | 0.000858640 | + | 0.00597197i | ||||
\(637\) | 21.0607 | − | 17.9089i | 0.834457 | − | 0.709575i | ||||
\(638\) | −3.08977 | + | 1.41105i | −0.122325 | + | 0.0558640i | ||||
\(639\) | 2.87798 | − | 0.845052i | 0.113851 | − | 0.0334297i | ||||
\(640\) | −9.23064 | + | 20.2123i | −0.364873 | + | 0.798960i | ||||
\(641\) | −8.02303 | − | 1.15354i | −0.316891 | − | 0.0455620i | −0.0179656 | − | 0.999839i | \(-0.505719\pi\) |
−0.298925 | + | 0.954277i | \(0.596628\pi\) | |||||||
\(642\) | −14.3960 | + | 9.25173i | −0.568164 | + | 0.365137i | ||||
\(643\) | −6.26910 | −0.247229 | −0.123615 | − | 0.992330i | \(-0.539449\pi\) | ||||
−0.123615 | + | 0.992330i | \(0.539449\pi\) | |||||||
\(644\) | −0.00798213 | + | 0.317148i | −0.000314540 | + | 0.0124974i | ||||
\(645\) | −22.4182 | −0.882717 | ||||||||
\(646\) | 36.4769 | − | 23.4422i | 1.43516 | − | 0.922323i | ||||
\(647\) | 19.3260 | + | 2.77866i | 0.759782 | + | 0.109240i | 0.511307 | − | 0.859398i | \(-0.329161\pi\) |
0.248475 | + | 0.968638i | \(0.420071\pi\) | |||||||
\(648\) | 1.16751 | − | 2.55650i | 0.0458642 | − | 0.100429i | ||||
\(649\) | −12.6857 | + | 3.72487i | −0.497959 | + | 0.146214i | ||||
\(650\) | 6.54537 | − | 2.98917i | 0.256730 | − | 0.117245i | ||||
\(651\) | −18.4480 | + | 15.8357i | −0.723036 | + | 0.620648i | ||||
\(652\) | 0.0568833 | + | 0.395632i | 0.00222772 | + | 0.0154942i | ||||
\(653\) | −17.3295 | − | 5.08841i | −0.678156 | − | 0.199125i | −0.0755245 | − | 0.997144i | \(-0.524063\pi\) |
−0.602632 | + | 0.798019i | \(0.705881\pi\) | |||||||
\(654\) | 6.81564 | − | 7.86567i | 0.266513 | − | 0.307572i | ||||
\(655\) | −12.3738 | + | 19.2539i | −0.483483 | + | 0.752314i | ||||
\(656\) | 7.76807 | − | 12.0874i | 0.303292 | − | 0.471932i | ||||
\(657\) | 1.49912 | + | 1.29899i | 0.0584862 | + | 0.0506786i | ||||
\(658\) | −31.1793 | − | 9.31286i | −1.21550 | − | 0.363053i | ||||
\(659\) | 1.19346 | − | 0.171594i | 0.0464906 | − | 0.00668435i | −0.119030 | − | 0.992891i | \(-0.537979\pi\) |
0.165521 | + | 0.986206i | \(0.447069\pi\) | |||||||
\(660\) | −0.114383 | − | 0.132006i | −0.00445237 | − | 0.00513831i | ||||
\(661\) | 8.29407 | + | 18.1615i | 0.322602 | + | 0.706399i | 0.999561 | − | 0.0296210i | \(-0.00943003\pi\) |
−0.676959 | + | 0.736020i | \(0.736703\pi\) | |||||||
\(662\) | −30.3718 | + | 8.91796i | −1.18043 | + | 0.346606i | ||||
\(663\) | −9.83729 | + | 21.5407i | −0.382049 | + | 0.836570i | ||||
\(664\) | 0.582124 | − | 4.04876i | 0.0225908 | − | 0.157122i | ||||
\(665\) | −13.9175 | − | 21.8793i | −0.539699 | − | 0.848441i | ||||
\(666\) | 7.56759i | 0.293238i | ||||||||
\(667\) | 0.385513 | + | 3.13674i | 0.0149271 | + | 0.121455i | ||||
\(668\) | 0.476888i | 0.0184513i | ||||||||
\(669\) | −15.7876 | + | 10.1461i | −0.610383 | + | 0.392269i | ||||
\(670\) | −12.6592 | − | 1.82012i | −0.489068 | − | 0.0703174i | ||||
\(671\) | −27.3405 | − | 12.4860i | −1.05547 | − | 0.482016i | ||||
\(672\) | −0.359513 | + | 0.103748i | −0.0138685 | + | 0.00400217i | ||||
\(673\) | −0.273882 | − | 0.599718i | −0.0105574 | − | 0.0231174i | 0.904280 | − | 0.426940i | \(-0.140409\pi\) |
−0.914837 | + | 0.403823i | \(0.867681\pi\) | |||||||
\(674\) | 13.0226 | − | 11.2842i | 0.501612 | − | 0.434650i | ||||
\(675\) | −1.26731 | + | 0.182212i | −0.0487789 | + | 0.00701334i | ||||
\(676\) | 0.0623160 | + | 0.0182976i | 0.00239677 | + | 0.000703755i | ||||
\(677\) | −17.3084 | + | 19.9750i | −0.665216 | + | 0.767701i | −0.983620 | − | 0.180255i | \(-0.942308\pi\) |
0.318404 | + | 0.947955i | \(0.396853\pi\) | |||||||
\(678\) | −15.6079 | − | 10.0306i | −0.599416 | − | 0.385221i | ||||
\(679\) | 14.2848 | − | 22.0018i | 0.548199 | − | 0.844351i | ||||
\(680\) | −21.2835 | + | 24.5625i | −0.816187 | + | 0.941930i | ||||
\(681\) | 7.95331 | − | 27.0865i | 0.304771 | − | 1.03796i | ||||
\(682\) | 6.74094 | + | 46.8843i | 0.258124 | + | 1.79529i | ||||
\(683\) | 26.8596 | + | 30.9976i | 1.02775 | + | 1.18609i | 0.982337 | + | 0.187122i | \(0.0599158\pi\) |
0.0454158 | + | 0.998968i | \(0.485539\pi\) | |||||||
\(684\) | 0.0527815 | + | 0.115575i | 0.00201815 | + | 0.00441914i | ||||
\(685\) | 2.84658 | + | 9.69456i | 0.108762 | + | 0.370410i | ||||
\(686\) | 23.8180 | + | 11.2817i | 0.909377 | + | 0.430738i | ||||
\(687\) | 8.25951 | + | 1.18754i | 0.315120 | + | 0.0453074i | ||||
\(688\) | 25.4476 | + | 39.5973i | 0.970182 | + | 1.50963i | ||||
\(689\) | −24.0343 | −0.915635 | ||||||||
\(690\) | −12.0824 | + | 5.22107i | −0.459968 | + | 0.198763i | ||||
\(691\) | 12.7692i | 0.485762i | 0.970056 | + | 0.242881i | \(0.0780924\pi\) | ||||
−0.970056 | + | 0.242881i | \(0.921908\pi\) | |||||||
\(692\) | 0.0664885 | + | 0.103458i | 0.00252751 | + | 0.00393289i | ||||
\(693\) | −1.40800 | + | 9.47954i | −0.0534855 | + | 0.360098i | ||||
\(694\) | 16.7196 | − | 36.6108i | 0.634667 | − | 1.38973i | ||||
\(695\) | −6.08014 | − | 20.7070i | −0.230633 | − | 0.785463i | ||||
\(696\) | −1.68467 | + | 0.769364i | −0.0638573 | + | 0.0291627i | ||||
\(697\) | 16.0790 | − | 13.9325i | 0.609034 | − | 0.527731i | ||||
\(698\) | −38.4410 | + | 5.52698i | −1.45501 | + | 0.209199i | ||||
\(699\) | 1.27109 | − | 4.32894i | 0.0480771 | − | 0.163735i | ||||
\(700\) | 0.0637501 | + | 0.0557612i | 0.00240953 | + | 0.00210757i | ||||
\(701\) | 6.27919 | − | 9.77060i | 0.237162 | − | 0.369031i | −0.702188 | − | 0.711991i | \(-0.747793\pi\) |
0.939350 | + | 0.342961i | \(0.111430\pi\) | |||||||
\(702\) | −4.72790 | − | 3.03844i | −0.178443 | − | 0.114678i | ||||
\(703\) | 20.4238 | + | 17.6973i | 0.770297 | + | 0.667467i | ||||
\(704\) | 8.05942 | − | 27.4479i | 0.303751 | − | 1.03448i | ||||
\(705\) | −2.37226 | − | 16.4994i | −0.0893446 | − | 0.621405i | ||||
\(706\) | 16.6817 | − | 14.4548i | 0.627825 | − | 0.544013i | ||||
\(707\) | −14.3535 | − | 31.8207i | −0.539818 | − | 1.19674i | ||||
\(708\) | 0.0875640 | − | 0.0257111i | 0.00329086 | − | 0.000966283i | ||||
\(709\) | −2.69834 | − | 1.23229i | −0.101338 | − | 0.0462797i | 0.364101 | − | 0.931360i | \(-0.381376\pi\) |
−0.465439 | + | 0.885080i | \(0.654104\pi\) | |||||||
\(710\) | 1.17155 | − | 8.14831i | 0.0439675 | − | 0.305800i | ||||
\(711\) | 6.24856 | + | 9.72295i | 0.234339 | + | 0.364639i | ||||
\(712\) | 17.7131 | 0.663826 | ||||||||
\(713\) | 43.4838 | + | 7.16516i | 1.62848 | + | 0.268337i | ||||
\(714\) | −22.5747 | − | 0.105032i | −0.844836 | − | 0.00393073i | ||||
\(715\) | 23.2105 | − | 14.9165i | 0.868022 | − | 0.557844i | ||||
\(716\) | −0.0121579 | + | 0.0845599i | −0.000454361 | + | 0.00316015i | ||||
\(717\) | −2.27998 | − | 1.04123i | −0.0851473 | − | 0.0388855i | ||||
\(718\) | −3.85927 | − | 13.1435i | −0.144027 | − | 0.490510i | ||||
\(719\) | −22.3824 | + | 10.2217i | −0.834723 | + | 0.381205i | −0.786469 | − | 0.617630i | \(-0.788093\pi\) |
−0.0482539 | + | 0.998835i | \(0.515366\pi\) | |||||||
\(720\) | −5.11433 | − | 5.90225i | −0.190600 | − | 0.219964i | ||||
\(721\) | −29.0461 | + | 4.03836i | −1.08173 | + | 0.150396i | ||||
\(722\) | 9.31764 | + | 2.73591i | 0.346767 | + | 0.101820i | ||||
\(723\) | −4.84403 | − | 4.19738i | −0.180152 | − | 0.156102i | ||||
\(724\) | −0.317109 | − | 0.203794i | −0.0117853 | − | 0.00757394i | ||||
\(725\) | 0.709780 | + | 0.456148i | 0.0263606 | + | 0.0169409i | ||||
\(726\) | 2.28059 | + | 1.97615i | 0.0846408 | + | 0.0733417i | ||||
\(727\) | 18.4148 | + | 5.40707i | 0.682967 | + | 0.200537i | 0.604769 | − | 0.796401i | \(-0.293265\pi\) |
0.0781977 | + | 0.996938i | \(0.475083\pi\) | |||||||
\(728\) | −4.04405 | − | 29.0871i | −0.149882 | − | 1.07804i | ||||
\(729\) | 0.654861 | + | 0.755750i | 0.0242541 | + | 0.0279907i | ||||
\(730\) | 4.95208 | − | 2.26154i | 0.183285 | − | 0.0837034i | ||||
\(731\) | 19.6359 | + | 66.8738i | 0.726261 | + | 2.47342i | ||||
\(732\) | 0.188719 | + | 0.0861851i | 0.00697525 | + | 0.00318549i | ||||
\(733\) | 2.06957 | − | 14.3942i | 0.0764414 | − | 0.531661i | −0.915236 | − | 0.402917i | \(-0.867996\pi\) |
0.991678 | − | 0.128744i | \(-0.0410946\pi\) | |||||||
\(734\) | 0.622719 | − | 0.400197i | 0.0229850 | − | 0.0147715i | ||||
\(735\) | −0.125623 | + | 13.4999i | −0.00463369 | + | 0.497951i | ||||
\(736\) | 0.562953 | + | 0.378323i | 0.0207507 | + | 0.0139452i | ||||
\(737\) | 16.8796 | 0.621768 | ||||||||
\(738\) | 2.72984 | + | 4.24772i | 0.100487 | + | 0.156361i | ||||
\(739\) | 2.85983 | − | 19.8906i | 0.105201 | − | 0.731686i | −0.867131 | − | 0.498080i | \(-0.834038\pi\) |
0.972331 | − | 0.233606i | \(-0.0750525\pi\) | |||||||
\(740\) | 0.233264 | + | 0.106528i | 0.00857497 | + | 0.00391606i | ||||
\(741\) | −19.2568 | + | 5.65431i | −0.707416 | + | 0.207716i | ||||
\(742\) | −9.42096 | − | 20.8856i | −0.345854 | − | 0.766736i | ||||
\(743\) | −39.0109 | + | 33.8031i | −1.43117 | + | 1.24012i | −0.504943 | + | 0.863153i | \(0.668486\pi\) |
−0.926228 | + | 0.376964i | \(0.876968\pi\) | |||||||
\(744\) | 3.67545 | + | 25.5633i | 0.134748 | + | 0.937196i | ||||
\(745\) | −11.8476 | + | 40.3492i | −0.434062 | + | 1.47828i | ||||
\(746\) | −39.6259 | − | 34.3360i | −1.45081 | − | 1.25713i | ||||
\(747\) | 1.22437 | + | 0.786855i | 0.0447974 | + | 0.0287895i | ||||
\(748\) | −0.293587 | + | 0.456830i | −0.0107346 | + | 0.0167033i | ||||
\(749\) | 20.9469 | − | 23.9480i | 0.765384 | − | 0.875041i | ||||
\(750\) | −4.85607 | + | 16.5382i | −0.177318 | + | 0.603891i | ||||
\(751\) | −12.8616 | + | 1.84922i | −0.469327 | + | 0.0674791i | −0.372921 | − | 0.927863i | \(-0.621644\pi\) |
−0.0964060 | + | 0.995342i | \(0.530735\pi\) | |||||||
\(752\) | −26.4501 | + | 22.9192i | −0.964537 | + | 0.835776i | ||||
\(753\) | 21.3137 | − | 9.73365i | 0.776715 | − | 0.354714i | ||||
\(754\) | 1.04340 | + | 3.55348i | 0.0379982 | + | 0.129410i | ||||
\(755\) | −8.52117 | + | 18.6588i | −0.310117 | + | 0.679062i | ||||
\(756\) | 0.00971878 | − | 0.0654330i | 0.000353469 | − | 0.00237978i | ||||
\(757\) | 15.2190 | + | 23.6812i | 0.553143 | + | 0.860707i | 0.999415 | − | 0.0341901i | \(-0.0108852\pi\) |
−0.446273 | + | 0.894897i | \(0.647249\pi\) | |||||||
\(758\) | − | 22.6720i | − | 0.823485i | ||||||
\(759\) | 14.8035 | − | 9.09012i | 0.537333 | − | 0.329950i | ||||
\(760\) | −27.5451 | −0.999165 | ||||||||
\(761\) | −0.140426 | − | 0.218508i | −0.00509046 | − | 0.00792090i | 0.838699 | − | 0.544595i | \(-0.183317\pi\) |
−0.843789 | + | 0.536674i | \(0.819680\pi\) | |||||||
\(762\) | 17.6025 | + | 2.53086i | 0.637671 | + | 0.0916832i | ||||
\(763\) | −8.12033 | + | 17.5643i | −0.293976 | + | 0.635871i | ||||
\(764\) | −0.0634729 | − | 0.216169i | −0.00229637 | − | 0.00782072i | ||||
\(765\) | −4.80394 | − | 10.5192i | −0.173687 | − | 0.380321i | ||||
\(766\) | −16.5744 | − | 19.1278i | −0.598856 | − | 0.691116i | ||||
\(767\) | 2.05152 | + | 14.2687i | 0.0740762 | + | 0.515211i | ||||
\(768\) | −0.169031 | + | 0.575667i | −0.00609939 | + | 0.0207726i | ||||
\(769\) | 17.7375 | − | 20.4702i | 0.639630 | − | 0.738173i | −0.339679 | − | 0.940541i | \(-0.610318\pi\) |
0.979309 | + | 0.202369i | \(0.0648639\pi\) | |||||||
\(770\) | 22.0603 | + | 14.3228i | 0.794998 | + | 0.516157i | ||||
\(771\) | 12.4653 | + | 8.01095i | 0.448926 | + | 0.288507i | ||||
\(772\) | −0.201257 | + | 0.232263i | −0.00724340 | + | 0.00835933i | ||||
\(773\) | 26.5202 | + | 7.78704i | 0.953867 | + | 0.280081i | 0.721396 | − | 0.692523i | \(-0.243501\pi\) |
0.232471 | + | 0.972603i | \(0.425319\pi\) | |||||||
\(774\) | −16.3727 | + | 2.35404i | −0.588504 | + | 0.0846141i | ||||
\(775\) | 8.89171 | − | 7.70471i | 0.319400 | − | 0.276761i | ||||
\(776\) | −11.5757 | − | 25.3473i | −0.415545 | − | 0.909916i | ||||
\(777\) | −3.90112 | − | 13.5184i | −0.139952 | − | 0.484968i | ||||
\(778\) | −8.79238 | − | 4.01534i | −0.315222 | − | 0.143957i | ||||
\(779\) | 17.8479 | + | 2.56614i | 0.639466 | + | 0.0919413i | ||||
\(780\) | −0.160211 | + | 0.102962i | −0.00573649 | + | 0.00368662i | ||||
\(781\) | 10.8648i | 0.388774i | ||||||||
\(782\) | 26.1573 | + | 31.4687i | 0.935385 | + | 1.12532i | ||||
\(783\) | − | 0.658977i | − | 0.0235499i | ||||||
\(784\) | 23.9875 | − | 15.1023i | 0.856695 | − | 0.539367i | ||||
\(785\) | −6.23455 | + | 43.3622i | −0.222520 | + | 1.54766i | ||||
\(786\) | −7.01514 | + | 15.3610i | −0.250222 | + | 0.547909i | ||||
\(787\) | 0.701998 | − | 0.206125i | 0.0250235 | − | 0.00734757i | −0.269197 | − | 0.963085i | \(-0.586758\pi\) |
0.294220 | + | 0.955738i | \(0.404940\pi\) | |||||||
\(788\) | −0.157066 | − | 0.343927i | −0.00559524 | − | 0.0122519i | ||||
\(789\) | 15.1288 | + | 17.4595i | 0.538599 | + | 0.621576i | ||||
\(790\) | 31.3973 | − | 4.51425i | 1.11707 | − | 0.160610i | ||||
\(791\) | 33.0519 | + | 9.87217i | 1.17519 | + | 0.351014i | ||||
\(792\) | 7.69368 | + | 6.66661i | 0.273383 | + | 0.236888i | ||||
\(793\) | −17.7175 | + | 27.5689i | −0.629165 | + | 0.979000i | ||||
\(794\) | −12.9427 | + | 20.1392i | −0.459318 | + | 0.714713i | ||||
\(795\) | 7.68605 | − | 8.87018i | 0.272596 | − | 0.314593i | ||||
\(796\) | 0.0639614 | + | 0.0187808i | 0.00226705 | + | 0.000665666i | ||||
\(797\) | 2.86484 | + | 19.9254i | 0.101478 | + | 0.705793i | 0.975515 | + | 0.219934i | \(0.0705842\pi\) |
−0.874037 | + | 0.485859i | \(0.838507\pi\) | |||||||
\(798\) | −12.4618 | − | 14.5176i | −0.441143 | − | 0.513919i | ||||
\(799\) | −47.1402 | + | 21.5282i | −1.66770 | + | 0.761613i | ||||
\(800\) | 0.173742 | − | 0.0510152i | 0.00614270 | − | 0.00180366i | ||||
\(801\) | −2.61817 | + | 5.73299i | −0.0925084 | + | 0.202565i | ||||
\(802\) | 11.4288 | + | 1.64322i | 0.403566 | + | 0.0580240i | ||||
\(803\) | −6.04452 | + | 3.88458i | −0.213306 | + | 0.137084i | ||||
\(804\) | −0.116512 | −0.00410907 | ||||||||
\(805\) | 18.8918 | − | 15.5552i | 0.665850 | − | 0.548247i | ||||
\(806\) | 51.6443 | 1.81909 | ||||||||
\(807\) | −5.96085 | + | 3.83080i | −0.209832 | + | 0.134851i | ||||
\(808\) | −36.7040 | − | 5.27724i | −1.29124 | − | 0.185653i | ||||
\(809\) | 2.37753 | − | 5.20605i | 0.0835893 | − | 0.183035i | −0.863222 | − | 0.504825i | \(-0.831557\pi\) |
0.946811 | + | 0.321790i | \(0.104284\pi\) | |||||||
\(810\) | 2.63333 | − | 0.773217i | 0.0925259 | − | 0.0271681i | ||||
\(811\) | −1.24872 | + | 0.570271i | −0.0438484 | + | 0.0200249i | −0.437219 | − | 0.899355i | \(-0.644036\pi\) |
0.393370 | + | 0.919380i | \(0.371309\pi\) | |||||||
\(812\) | −0.0330770 | + | 0.0283930i | −0.00116078 | + | 0.000996400i | ||||
\(813\) | −2.25705 | − | 15.6981i | −0.0791582 | − | 0.550557i | ||||
\(814\) | −26.3012 | − | 7.72274i | −0.921858 | − | 0.270682i | ||||
\(815\) | 20.1906 | − | 23.3012i | 0.707245 | − | 0.816205i | ||||
\(816\) | −13.1269 | + | 20.4258i | −0.459533 | + | 0.715047i | ||||
\(817\) | −31.9354 | + | 49.6924i | −1.11728 | + | 1.73852i | ||||
\(818\) | −34.6288 | − | 30.0060i | −1.21077 | − | 1.04913i | ||||
\(819\) | 10.0120 | + | 2.99046i | 0.349848 | + | 0.104495i | ||||
\(820\) | 0.169360 | − | 0.0243503i | 0.00591430 | − | 0.000850348i | ||||
\(821\) | 11.4915 | + | 13.2618i | 0.401054 | + | 0.462841i | 0.919973 | − | 0.391982i | \(-0.128211\pi\) |
−0.518918 | + | 0.854824i | \(0.673665\pi\) | |||||||
\(822\) | 3.09692 | + | 6.78131i | 0.108017 | + | 0.236525i | ||||
\(823\) | 13.8768 | − | 4.07459i | 0.483715 | − | 0.142031i | −0.0307780 | − | 0.999526i | \(-0.509798\pi\) |
0.514493 | + | 0.857495i | \(0.327980\pi\) | |||||||
\(824\) | −12.9407 | + | 28.3362i | −0.450811 | + | 0.987138i | ||||
\(825\) | 0.660015 | − | 4.59050i | 0.0229788 | − | 0.159821i | ||||
\(826\) | −11.5952 | + | 7.37578i | −0.403448 | + | 0.256636i | ||||
\(827\) | − | 3.92775i | − | 0.136581i | −0.997665 | − | 0.0682907i | \(-0.978245\pi\) | ||
0.997665 | − | 0.0682907i | \(-0.0217545\pi\) | |||||||
\(828\) | −0.102182 | + | 0.0627450i | −0.00355106 | + | 0.00218054i | ||||
\(829\) | − | 49.6126i | − | 1.72312i | −0.507658 | − | 0.861559i | \(-0.669489\pi\) | ||
0.507658 | − | 0.861559i | \(-0.330511\pi\) | |||||||
\(830\) | 3.36029 | − | 2.15953i | 0.116637 | − | 0.0749584i | ||||
\(831\) | 10.5422 | + | 1.51574i | 0.365704 | + | 0.0525803i | ||||
\(832\) | −28.3716 | − | 12.9569i | −0.983610 | − | 0.449199i | ||||
\(833\) | 40.3804 | − | 11.4497i | 1.39910 | − | 0.396709i | ||||
\(834\) | −6.61485 | − | 14.4845i | −0.229053 | − | 0.501557i | ||||
\(835\) | 27.8009 | − | 24.0896i | 0.962091 | − | 0.833656i | ||||
\(836\) | −0.455547 | + | 0.0654978i | −0.0157554 | + | 0.00226529i | ||||
\(837\) | −8.81704 | − | 2.58892i | −0.304761 | − | 0.0894860i | ||||
\(838\) | 26.1159 | − | 30.1394i | 0.902160 | − | 1.04115i | ||||
\(839\) | −13.9480 | − | 8.96383i | −0.481538 | − | 0.309466i | 0.277256 | − | 0.960796i | \(-0.410575\pi\) |
−0.758794 | + | 0.651330i | \(0.774211\pi\) | |||||||
\(840\) | 12.0282 | + | 7.80938i | 0.415013 | + | 0.269449i | ||||
\(841\) | 18.7066 | − | 21.5886i | 0.645055 | − | 0.744433i | ||||
\(842\) | −10.5585 | + | 35.9590i | −0.363871 | + | 1.23923i | ||||
\(843\) | 0.754448 | + | 5.24730i | 0.0259846 | + | 0.180727i | ||||
\(844\) | 0.287962 | + | 0.332326i | 0.00991207 | + | 0.0114391i | ||||
\(845\) | −2.08116 | − | 4.55710i | −0.0715941 | − | 0.156769i | ||||
\(846\) | −3.46506 | − | 11.8009i | −0.119131 | − | 0.405724i | ||||
\(847\) | −5.09265 | − | 2.35443i | −0.174985 | − | 0.0808992i | ||||
\(848\) | −24.3921 | − | 3.50705i | −0.837627 | − | 0.120433i | ||||
\(849\) | −0.728517 | − | 1.13359i | −0.0250026 | − | 0.0389049i | ||||
\(850\) | 10.9246 | 0.374709 | ||||||||
\(851\) | −14.2256 | + | 21.1680i | −0.487649 | + | 0.725631i | ||||
\(852\) | − | 0.0749950i | − | 0.00256929i | ||||||
\(853\) | 5.05304 | + | 7.86269i | 0.173013 | + | 0.269213i | 0.916921 | − | 0.399068i | \(-0.130666\pi\) |
−0.743908 | + | 0.668282i | \(0.767030\pi\) | |||||||
\(854\) | −30.9020 | − | 4.58989i | −1.05745 | − | 0.157063i | ||||
\(855\) | 4.07143 | − | 8.91519i | 0.139240 | − | 0.304893i | ||||
\(856\) | −9.52177 | − | 32.4282i | −0.325447 | − | 1.10837i | ||||
\(857\) | −47.0135 | + | 21.4703i | −1.60595 | + | 0.733413i | −0.998157 | − | 0.0606832i | \(-0.980672\pi\) |
−0.607793 | + | 0.794096i | \(0.707945\pi\) | |||||||
\(858\) | 15.3850 | − | 13.3311i | 0.525234 | − | 0.455118i | ||||
\(859\) | −44.9138 | + | 6.45762i | −1.53244 | + | 0.220331i | −0.856313 | − | 0.516457i | \(-0.827251\pi\) |
−0.676124 | + | 0.736788i | \(0.736342\pi\) | |||||||
\(860\) | −0.157916 | + | 0.537811i | −0.00538487 | + | 0.0183392i | ||||
\(861\) | −7.06617 | − | 6.18066i | −0.240814 | − | 0.210636i | ||||
\(862\) | −19.4980 | + | 30.3395i | −0.664105 | + | 1.03337i | ||||
\(863\) | −17.6899 | − | 11.3686i | −0.602172 | − | 0.386992i | 0.203743 | − | 0.979024i | \(-0.434689\pi\) |
−0.805914 | + | 0.592032i | \(0.798326\pi\) | |||||||
\(864\) | −0.106884 | − | 0.0926158i | −0.00363628 | − | 0.00315085i | ||||
\(865\) | 2.67264 | − | 9.10216i | 0.0908723 | − | 0.309483i | ||||
\(866\) | −3.80947 | − | 26.4954i | −0.129451 | − | 0.900352i | ||||
\(867\) | −14.3233 | + | 12.4112i | −0.486445 | + | 0.421507i | ||||
\(868\) | 0.249946 | + | 0.554114i | 0.00848372 | + | 0.0188078i | ||||
\(869\) | −40.1689 | + | 11.7946i | −1.36264 | + | 0.400106i | ||||
\(870\) | −1.64513 | − | 0.751306i | −0.0557751 | − | 0.0254717i | ||||
\(871\) | 2.61918 | − | 18.2168i | 0.0887474 | − | 0.617252i | ||||
\(872\) | 11.1130 | + | 17.2922i | 0.376335 | + | 0.585589i | ||||
\(873\) | 9.91487 | 0.335568 | ||||||||
\(874\) | −5.63860 | + | 34.2194i | −0.190728 | + | 1.15749i | ||||
\(875\) | 0.149101 | − | 32.0464i | 0.00504053 | − | 1.08337i | ||||
\(876\) | 0.0417226 | − | 0.0268135i | 0.00140968 | − | 0.000905943i | ||||
\(877\) | −1.93803 | + | 13.4793i | −0.0654425 | + | 0.455163i | 0.930582 | + | 0.366083i | \(0.119302\pi\) |
−0.996025 | + | 0.0890792i | \(0.971608\pi\) | |||||||
\(878\) | 39.5429 | + | 18.0587i | 1.33451 | + | 0.609450i | ||||
\(879\) | 2.77256 | + | 9.44248i | 0.0935162 | + | 0.318487i | ||||
\(880\) | 25.7325 | − | 11.7517i | 0.867443 | − | 0.396148i | ||||
\(881\) | −7.56423 | − | 8.72959i | −0.254845 | − | 0.294107i | 0.613882 | − | 0.789398i | \(-0.289607\pi\) |
−0.868727 | + | 0.495291i | \(0.835062\pi\) | |||||||
\(882\) | 1.32582 | + | 9.87255i | 0.0446426 | + | 0.332426i | ||||
\(883\) | 26.0409 | + | 7.64629i | 0.876345 | + | 0.257318i | 0.688812 | − | 0.724940i | \(-0.258133\pi\) |
0.187533 | + | 0.982258i | \(0.439951\pi\) | |||||||
\(884\) | 0.447463 | + | 0.387729i | 0.0150498 | + | 0.0130407i | ||||
\(885\) | −5.92210 | − | 3.80590i | −0.199069 | − | 0.127934i | ||||
\(886\) | −17.6665 | − | 11.3536i | −0.593519 | − | 0.381431i | ||||
\(887\) | −16.4617 | − | 14.2641i | −0.552729 | − | 0.478942i | 0.333140 | − | 0.942877i | \(-0.391892\pi\) |
−0.885869 | + | 0.463935i | \(0.846437\pi\) | |||||||
\(888\) | −14.3406 | − | 4.21077i | −0.481238 | − | 0.141304i | ||||
\(889\) | −32.7488 | + | 4.55316i | −1.09836 | + | 0.152708i | ||||
\(890\) | 11.3274 | + | 13.0725i | 0.379694 | + | 0.438190i | ||||
\(891\) | −3.29490 | + | 1.50473i | −0.110383 | + | 0.0504104i | ||||
\(892\) | 0.132194 | + | 0.450212i | 0.00442619 | + | 0.0150742i | ||||
\(893\) | −39.9522 | − | 18.2455i | −1.33695 | − | 0.610564i | ||||
\(894\) | −4.41575 | + | 30.7122i | −0.147685 | + | 1.02717i | ||||
\(895\) | 5.54370 | − | 3.56272i | 0.185305 | − | 0.119089i | ||||
\(896\) | 0.141822 | − | 30.4819i | 0.00473793 | − | 1.01833i | ||||
\(897\) | −7.51319 | − | 17.3867i | −0.250858 | − | 0.580524i | ||||
\(898\) | −0.741181 | −0.0247335 | ||||||||
\(899\) | 3.27386 | + | 5.09423i | 0.109189 | + | 0.169902i | ||||
\(900\) | −0.00455578 | + | 0.0316862i | −0.000151859 | + | 0.00105621i | ||||
\(901\) | −33.1920 | − | 15.1583i | −1.10578 | − | 0.504995i | ||||
\(902\) | −17.5488 | + | 5.15279i | −0.584311 | + | 0.171569i | ||||
\(903\) | 28.0338 | − | 12.6453i | 0.932906 | − | 0.420809i | ||||
\(904\) | 27.6924 | − | 23.9956i | 0.921036 | − | 0.798082i | ||||
\(905\) | 4.13807 | + | 28.7809i | 0.137554 | + | 0.956709i | ||||
\(906\) | −4.26399 | + | 14.5218i | −0.141661 | + | 0.482455i | ||||
\(907\) | 7.21824 | + | 6.25464i | 0.239678 | + | 0.207682i | 0.766414 | − | 0.642347i | \(-0.222039\pi\) |
−0.526736 | + | 0.850029i | \(0.676585\pi\) | |||||||
\(908\) | −0.593778 | − | 0.381598i | −0.0197052 | − | 0.0126638i | ||||
\(909\) | 7.13323 | − | 11.0995i | 0.236594 | − | 0.368148i | ||||
\(910\) | 18.8804 | − | 21.5854i | 0.625880 | − | 0.715550i | ||||
\(911\) | −0.650329 | + | 2.21482i | −0.0215463 | + | 0.0733801i | −0.969564 | − | 0.244836i | \(-0.921266\pi\) |
0.948018 | + | 0.318217i | \(0.103084\pi\) | |||||||
\(912\) | −20.3685 | + | 2.92855i | −0.674468 | + | 0.0969739i | ||||
\(913\) | −3.98420 | + | 3.45233i | −0.131858 | + | 0.114255i | ||||
\(914\) | −23.5436 | + | 10.7520i | −0.778754 | + | 0.355645i | ||||
\(915\) | −4.50871 | − | 15.3552i | −0.149053 | − | 0.507629i | ||||
\(916\) | 0.0866694 | − | 0.189780i | 0.00286364 | − | 0.00627049i | ||||
\(917\) | 4.61283 | − | 31.0565i | 0.152329 | − | 1.02557i | ||||
\(918\) | −4.61303 | − | 7.17801i | −0.152253 | − | 0.236910i | ||||
\(919\) | 9.62868i | 0.317621i | 0.987309 | + | 0.158810i | \(0.0507658\pi\) | ||||
−0.987309 | + | 0.158810i | \(0.949234\pi\) | |||||||
\(920\) | −3.17102 | − | 25.8012i | −0.104546 | − | 0.850639i | ||||
\(921\) | −19.9227 | −0.656475 | ||||||||
\(922\) | 11.5786 | + | 18.0166i | 0.381320 | + | 0.593345i | ||||
\(923\) | 11.7255 | + | 1.68587i | 0.385950 | + | 0.0554912i | ||||
\(924\) | 0.217495 | + | 0.100552i | 0.00715506 | + | 0.00330793i | ||||
\(925\) | 1.91826 | + | 6.53301i | 0.0630721 | + | 0.214804i | ||||
\(926\) | 12.6947 | + | 27.7976i | 0.417175 | + | 0.913485i | ||||
\(927\) | −7.25847 | − | 8.37672i | −0.238400 | − | 0.275128i | ||||
\(928\) | 0.0132635 | + | 0.0922493i | 0.000435394 | + | 0.00302823i | ||||
\(929\) | −2.35685 | + | 8.02669i | −0.0773257 | + | 0.263347i | −0.989078 | − | 0.147393i | \(-0.952912\pi\) |
0.911752 | + | 0.410741i | \(0.134730\pi\) | |||||||
\(930\) | −16.5156 | + | 19.0600i | −0.541567 | + | 0.625002i | ||||
\(931\) | 29.7450 | + | 19.5094i | 0.974854 | + | 0.639396i | ||||
\(932\) | −0.0948970 | − | 0.0609866i | −0.00310846 | − | 0.00199768i | ||||
\(933\) | 14.4563 | − | 16.6835i | 0.473279 | − | 0.546193i | ||||
\(934\) | −6.89677 | − | 2.02507i | −0.225669 | − | 0.0662624i | ||||
\(935\) | 41.4619 | − | 5.96132i | 1.35595 | − | 0.194956i | ||||
\(936\) | 8.38853 | − | 7.26871i | 0.274188 | − | 0.237585i | ||||
\(937\) | 12.6253 | + | 27.6456i | 0.412452 | + | 0.903143i | 0.995855 | + | 0.0909601i | \(0.0289936\pi\) |
−0.583403 | + | 0.812183i | \(0.698279\pi\) | |||||||
\(938\) | 16.8569 | − | 4.86455i | 0.550397 | − | 0.158833i | ||||
\(939\) | 11.1173 | + | 5.07709i | 0.362799 | + | 0.165685i | ||||
\(940\) | −0.412530 | − | 0.0593129i | −0.0134552 | − | 0.00193457i | ||||
\(941\) | −33.8473 | + | 21.7523i | −1.10339 | + | 0.709105i | −0.959843 | − | 0.280538i | \(-0.909487\pi\) |
−0.143547 | + | 0.989644i | \(0.545851\pi\) | |||||||
\(942\) | 32.3233i | 1.05315i | ||||||||
\(943\) | −0.349001 | + | 17.0133i | −0.0113650 | + | 0.554029i | ||||
\(944\) | 14.7804i | 0.481061i | ||||||||
\(945\) | −4.30546 | + | 2.73873i | −0.140057 | + | 0.0890908i | ||||
\(946\) | 8.52687 | − | 59.3057i | 0.277233 | − | 1.92819i | ||||
\(947\) | −4.85466 | + | 10.6302i | −0.157755 | + | 0.345436i | −0.971962 | − | 0.235140i | \(-0.924445\pi\) |
0.814206 | + | 0.580576i | \(0.197172\pi\) | |||||||
\(948\) | 0.277268 | − | 0.0814131i | 0.00900523 | − | 0.00264418i | ||||
\(949\) | 3.25439 | + | 7.12611i | 0.105642 | + | 0.231323i | ||||
\(950\) | 6.06320 | + | 6.99730i | 0.196716 | + | 0.227022i | ||||
\(951\) | 11.9900 | − | 1.72390i | 0.388803 | − | 0.0559014i | ||||
\(952\) | 12.7601 | − | 42.7205i | 0.413556 | − | 1.38458i | ||||
\(953\) | −10.4391 | − | 9.04556i | −0.338157 | − | 0.293014i | 0.469184 | − | 0.883101i | \(-0.344548\pi\) |
−0.807340 | + | 0.590086i | \(0.799094\pi\) | |||||||
\(954\) | 4.68193 | − | 7.28522i | 0.151583 | − | 0.235868i | ||||
\(955\) | −9.39562 | + | 14.6199i | −0.304035 | + | 0.473088i | ||||
\(956\) | −0.0410393 | + | 0.0473619i | −0.00132731 | + | 0.00153179i | ||||
\(957\) | 2.29028 | + | 0.672487i | 0.0740343 | + | 0.0217384i | ||||
\(958\) | −0.860686 | − | 5.98620i | −0.0278075 | − | 0.193405i | ||||
\(959\) | −9.02797 | − | 10.5173i | −0.291528 | − | 0.339622i | ||||
\(960\) | 13.8550 | − | 6.32737i | 0.447169 | − | 0.204215i | ||||
\(961\) | 51.2778 | − | 15.0565i | 1.65412 | − | 0.485694i | ||||
\(962\) | −12.4156 | + | 27.1864i | −0.400296 | + | 0.876526i | ||||
\(963\) | 11.9030 | + | 1.71140i | 0.383570 | + | 0.0551491i | ||||
\(964\) | −0.134816 | + | 0.0866412i | −0.00434214 | + | 0.00279052i | ||||
\(965\) | 23.7065 | 0.763139 | ||||||||
\(966\) | 12.1639 | − | 13.3441i | 0.391366 | − | 0.429340i | ||||
\(967\) | 54.0463 | 1.73801 | 0.869005 | − | 0.494802i | \(-0.164760\pi\) | ||||
0.869005 | + | 0.494802i | \(0.164760\pi\) | |||||||
\(968\) | −5.01376 | + | 3.22215i | −0.161148 | + | 0.103564i | ||||
\(969\) | −30.1602 | − | 4.33638i | −0.968886 | − | 0.139305i | ||||
\(970\) | 11.3040 | − | 24.7524i | 0.362951 | − | 0.794751i | ||||
\(971\) | 7.33281 | − | 2.15311i | 0.235321 | − | 0.0690965i | −0.161946 | − | 0.986800i | \(-0.551777\pi\) |
0.397267 | + | 0.917703i | \(0.369959\pi\) | |||||||
\(972\) | 0.0227432 | − | 0.0103865i | 0.000729489 | − | 0.000333147i | ||||
\(973\) | 19.2832 | + | 22.4644i | 0.618192 | + | 0.720175i | ||||
\(974\) | −3.54882 | − | 24.6826i | −0.113712 | − | 0.790881i | ||||
\(975\) | −4.85174 | − | 1.42460i | −0.155380 | − | 0.0456237i | ||||
\(976\) | −22.0040 | + | 25.3939i | −0.704330 | + | 0.812840i | ||||
\(977\) | 4.59954 | − | 7.15702i | 0.147152 | − | 0.228973i | −0.759851 | − | 0.650098i | \(-0.774728\pi\) |
0.907003 | + | 0.421124i | \(0.138364\pi\) | |||||||
\(978\) | 12.2990 | − | 19.1376i | 0.393279 | − | 0.611954i | ||||
\(979\) | −17.2532 | − | 14.9500i | −0.551415 | − | 0.477804i | ||||
\(980\) | 0.322976 | + | 0.0981079i | 0.0103171 | + | 0.00313394i | ||||
\(981\) | −7.23939 | + | 1.04087i | −0.231136 | + | 0.0332323i | ||||
\(982\) | 12.1561 | + | 14.0289i | 0.387917 | + | 0.447680i | ||||
\(983\) | −8.94281 | − | 19.5820i | −0.285231 | − | 0.624570i | 0.711731 | − | 0.702452i | \(-0.247911\pi\) |
−0.996963 | + | 0.0778824i | \(0.975184\pi\) | |||||||
\(984\) | −9.56835 | + | 2.80952i | −0.305028 | + | 0.0895643i | ||||
\(985\) | −12.1157 | + | 26.5296i | −0.386037 | + | 0.845304i | ||||
\(986\) | −0.800198 | + | 5.56550i | −0.0254835 | + | 0.177242i | ||||
\(987\) | 12.2732 | + | 19.2943i | 0.390661 | + | 0.614144i | ||||
\(988\) | 0.501797i | 0.0159643i | ||||||||
\(989\) | −50.2228 | − | 24.1929i | −1.59699 | − | 0.769288i | ||||
\(990\) | 9.94125i | 0.315954i | ||||||||
\(991\) | −41.0475 | + | 26.3796i | −1.30392 | + | 0.837976i | −0.993633 | − | 0.112667i | \(-0.964061\pi\) |
−0.310284 | + | 0.950644i | \(0.600424\pi\) | |||||||
\(992\) | 1.28639 | + | 0.184955i | 0.0408430 | + | 0.00587234i | ||||
\(993\) | 20.2340 | + | 9.24055i | 0.642106 | + | 0.293240i | ||||
\(994\) | 3.13115 | + | 10.8502i | 0.0993140 | + | 0.344148i | ||||
\(995\) | −2.13611 | − | 4.67742i | −0.0677192 | − | 0.148284i | ||||
\(996\) | 0.0275011 | − | 0.0238299i | 0.000871406 | − | 0.000755078i | ||||
\(997\) | 55.4479 | − | 7.97220i | 1.75605 | − | 0.252482i | 0.812324 | − | 0.583206i | \(-0.198202\pi\) |
0.943727 | + | 0.330724i | \(0.107293\pi\) | |||||||
\(998\) | 32.9215 | + | 9.66663i | 1.04211 | + | 0.305992i | ||||
\(999\) | 3.48252 | − | 4.01904i | 0.110182 | − | 0.127157i |
(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 | 483.2.r.a.34.10 | yes | 320 | |
7.6 | odd | 2 | inner | 483.2.r.a.34.9 | ✓ | 320 | |
23.21 | odd | 22 | inner | 483.2.r.a.412.9 | yes | 320 | |
161.90 | even | 22 | inner | 483.2.r.a.412.10 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.r.a.34.9 | ✓ | 320 | 7.6 | odd | 2 | inner | |
483.2.r.a.34.10 | yes | 320 | 1.1 | even | 1 | trivial | |
483.2.r.a.412.9 | yes | 320 | 23.21 | odd | 22 | inner | |
483.2.r.a.412.10 | yes | 320 | 161.90 | even | 22 | inner |