Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [693,2,Mod(64,693)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(693, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("693.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 693 = 3^{2} \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 693.m (of order \(5\), degree \(4\), 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: | \(5.53363286007\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 64.4 | ||
Character | \(\chi\) | \(=\) | 693.64 |
Dual form | 693.2.m.k.379.4 |
$q$-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 \(\left(\mathbb{Z}/693\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(442\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.123907 | + | 0.381345i | −0.0876152 | + | 0.269652i | −0.985259 | − | 0.171070i | \(-0.945278\pi\) |
0.897644 | + | 0.440722i | \(0.145278\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.48796 | + | 1.08107i | 0.743981 | + | 0.540534i | ||||
\(5\) | 0.712476 | + | 2.19277i | 0.318629 | + | 0.980639i | 0.974235 | + | 0.225536i | \(0.0724132\pi\) |
−0.655606 | + | 0.755103i | \(0.727587\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.809017 | − | 0.587785i | −0.305780 | − | 0.222162i | ||||
\(8\) | −1.24541 | + | 0.904845i | −0.440320 | + | 0.319911i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.924485 | −0.292348 | ||||||||
\(11\) | 3.30642 | + | 0.259994i | 0.996923 | + | 0.0783910i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.38796 | − | 4.27172i | 0.384952 | − | 1.18476i | −0.551563 | − | 0.834133i | \(-0.685968\pi\) |
0.936515 | − | 0.350628i | \(-0.114032\pi\) | |||||||
\(14\) | 0.324392 | − | 0.235684i | 0.0866973 | − | 0.0629893i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.945959 | + | 2.91136i | 0.236490 | + | 0.727840i | ||||
\(17\) | 2.30765 | + | 7.10221i | 0.559687 | + | 1.72254i | 0.683232 | + | 0.730201i | \(0.260574\pi\) |
−0.123545 | + | 0.992339i | \(0.539426\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.08998 | − | 0.791919i | 0.250059 | − | 0.181679i | −0.455694 | − | 0.890137i | \(-0.650609\pi\) |
0.705753 | + | 0.708458i | \(0.250609\pi\) | |||||||
\(20\) | −1.31040 | + | 4.03300i | −0.293015 | + | 0.901807i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.508834 | + | 1.22867i | −0.108484 | + | 0.261954i | ||||
\(23\) | −4.27146 | −0.890661 | −0.445330 | − | 0.895366i | \(-0.646914\pi\) | ||||
−0.445330 | + | 0.895366i | \(0.646914\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.255555 | + | 0.185671i | −0.0511109 | + | 0.0371342i | ||||
\(26\) | 1.45702 | + | 1.05859i | 0.285745 | + | 0.207606i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.568351 | − | 1.74920i | −0.107408 | − | 0.330569i | ||||
\(29\) | −0.910862 | − | 0.661780i | −0.169143 | − | 0.122889i | 0.499993 | − | 0.866029i | \(-0.333336\pi\) |
−0.669136 | + | 0.743140i | \(0.733336\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.50687 | + | 7.71535i | −0.450247 | + | 1.38572i | 0.426378 | + | 0.904545i | \(0.359789\pi\) |
−0.876625 | + | 0.481173i | \(0.840211\pi\) | |||||||
\(32\) | −4.30627 | −0.761249 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.99433 | −0.513523 | ||||||||
\(35\) | 0.712476 | − | 2.19277i | 0.120430 | − | 0.370647i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −8.95237 | − | 6.50427i | −1.47176 | − | 1.06930i | −0.980099 | − | 0.198509i | \(-0.936390\pi\) |
−0.491661 | − | 0.870787i | \(-0.663610\pi\) | |||||||
\(38\) | 0.166938 | + | 0.513784i | 0.0270810 | + | 0.0833467i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.87145 | − | 2.08623i | −0.454016 | − | 0.329862i | ||||
\(41\) | 0.939852 | − | 0.682843i | 0.146780 | − | 0.106642i | −0.511972 | − | 0.859002i | \(-0.671085\pi\) |
0.658752 | + | 0.752360i | \(0.271085\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 9.95451 | 1.51805 | 0.759024 | − | 0.651063i | \(-0.225676\pi\) | ||||
0.759024 | + | 0.651063i | \(0.225676\pi\) | |||||||
\(44\) | 4.63876 | + | 3.96132i | 0.699319 | + | 0.597192i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.529262 | − | 1.62890i | 0.0780354 | − | 0.240168i | ||||
\(47\) | −10.3911 | + | 7.54956i | −1.51569 | + | 1.10122i | −0.552124 | + | 0.833762i | \(0.686182\pi\) |
−0.963571 | + | 0.267454i | \(0.913818\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.309017 | + | 0.951057i | 0.0441453 | + | 0.135865i | ||||
\(50\) | −0.0391400 | − | 0.120460i | −0.00553523 | − | 0.0170357i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 6.68326 | − | 4.85567i | 0.926801 | − | 0.673360i | ||||
\(53\) | 3.62469 | − | 11.1556i | 0.497889 | − | 1.53235i | −0.314515 | − | 0.949252i | \(-0.601842\pi\) |
0.812405 | − | 0.583094i | \(-0.198158\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.78564 | + | 7.43547i | 0.240775 | + | 1.00260i | ||||
\(56\) | 1.53941 | 0.205713 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.365228 | − | 0.265354i | 0.0479568 | − | 0.0348427i | ||||
\(59\) | 0.848599 | + | 0.616543i | 0.110478 | + | 0.0802671i | 0.641653 | − | 0.766995i | \(-0.278249\pi\) |
−0.531174 | + | 0.847263i | \(0.678249\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.06929 | − | 6.36863i | −0.264946 | − | 0.815419i | −0.991706 | − | 0.128528i | \(-0.958975\pi\) |
0.726760 | − | 0.686891i | \(-0.241025\pi\) | |||||||
\(62\) | −2.63160 | − | 1.91197i | −0.334213 | − | 0.242820i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.35834 | + | 4.18055i | −0.169793 | + | 0.522568i | ||||
\(65\) | 10.3558 | 1.28448 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.46445 | −0.301080 | −0.150540 | − | 0.988604i | \(-0.548101\pi\) | ||||
−0.150540 | + | 0.988604i | \(0.548101\pi\) | |||||||
\(68\) | −4.24428 | + | 13.0626i | −0.514695 | + | 1.58407i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.747924 | + | 0.543398i | 0.0893940 | + | 0.0649485i | ||||
\(71\) | 2.60280 | + | 8.01059i | 0.308895 | + | 0.950682i | 0.978195 | + | 0.207689i | \(0.0665943\pi\) |
−0.669300 | + | 0.742993i | \(0.733406\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 8.71874 | + | 6.33453i | 1.02045 | + | 0.741401i | 0.966375 | − | 0.257136i | \(-0.0827788\pi\) |
0.0540756 | + | 0.998537i | \(0.482779\pi\) | |||||||
\(74\) | 3.58963 | − | 2.60802i | 0.417286 | − | 0.303176i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.47797 | 0.284243 | ||||||||
\(77\) | −2.52213 | − | 2.15380i | −0.287423 | − | 0.245449i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.837891 | − | 2.57876i | 0.0942702 | − | 0.290134i | −0.892793 | − | 0.450468i | \(-0.851257\pi\) |
0.987063 | + | 0.160334i | \(0.0512572\pi\) | |||||||
\(80\) | −5.70999 | + | 4.14855i | −0.638396 | + | 0.463822i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.143945 | + | 0.443017i | 0.0158961 | + | 0.0489230i | ||||
\(83\) | −2.82105 | − | 8.68231i | −0.309651 | − | 0.953007i | −0.977901 | − | 0.209070i | \(-0.932956\pi\) |
0.668250 | − | 0.743937i | \(-0.267044\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −13.9294 | + | 10.1203i | −1.51086 | + | 1.09770i | ||||
\(86\) | −1.23343 | + | 3.79610i | −0.133004 | + | 0.409344i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −4.35311 | + | 2.66800i | −0.464043 | + | 0.284409i | ||||
\(89\) | 5.28542 | 0.560253 | 0.280126 | − | 0.959963i | \(-0.409624\pi\) | ||||
0.280126 | + | 0.959963i | \(0.409624\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.63374 | + | 2.64007i | −0.380919 | + | 0.276754i | ||||
\(92\) | −6.35577 | − | 4.61774i | −0.662635 | − | 0.481433i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.59147 | − | 4.89803i | −0.164147 | − | 0.505193i | ||||
\(95\) | 2.51309 | + | 1.82586i | 0.257837 | + | 0.187330i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.77561 | − | 5.46478i | 0.180286 | − | 0.554864i | −0.819549 | − | 0.573009i | \(-0.805776\pi\) |
0.999835 | + | 0.0181449i | \(0.00577600\pi\) | |||||||
\(98\) | −0.400970 | −0.0405041 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.580979 | −0.0580979 | ||||||||
\(101\) | 2.95530 | − | 9.09549i | 0.294064 | − | 0.905035i | −0.689470 | − | 0.724314i | \(-0.742157\pi\) |
0.983534 | − | 0.180722i | \(-0.0578433\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.653358 | + | 0.474692i | 0.0643773 | + | 0.0467728i | 0.619508 | − | 0.784990i | \(-0.287332\pi\) |
−0.555131 | + | 0.831763i | \(0.687332\pi\) | |||||||
\(104\) | 2.13665 | + | 6.57594i | 0.209516 | + | 0.644824i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.80503 | + | 2.76452i | 0.369577 | + | 0.268514i | ||||
\(107\) | 13.6302 | − | 9.90291i | 1.31768 | − | 0.957351i | 0.317722 | − | 0.948184i | \(-0.397082\pi\) |
0.999958 | − | 0.00916669i | \(-0.00291789\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 9.41870 | 0.902147 | 0.451074 | − | 0.892487i | \(-0.351041\pi\) | ||||
0.451074 | + | 0.892487i | \(0.351041\pi\) | |||||||
\(110\) | −3.05673 | − | 0.240360i | −0.291448 | − | 0.0229174i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.945959 | − | 2.91136i | 0.0893847 | − | 0.275098i | ||||
\(113\) | 3.52035 | − | 2.55768i | 0.331166 | − | 0.240606i | −0.409759 | − | 0.912194i | \(-0.634387\pi\) |
0.740925 | + | 0.671587i | \(0.234387\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.04331 | − | 9.36635i | −0.283790 | − | 0.873417i | ||||
\(116\) | −0.639899 | − | 1.96941i | −0.0594131 | − | 0.182855i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.340263 | + | 0.247215i | −0.0313237 | + | 0.0227580i | ||||
\(119\) | 2.30765 | − | 7.10221i | 0.211542 | − | 0.651059i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.8648 | + | 1.71930i | 0.987710 | + | 0.156300i | ||||
\(122\) | 2.68504 | 0.243093 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −12.0710 | + | 8.77006i | −1.08400 | + | 0.787575i | ||||
\(125\) | 8.73722 | + | 6.34796i | 0.781480 | + | 0.567779i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.96145 | − | 6.03673i | −0.174051 | − | 0.535673i | 0.825538 | − | 0.564346i | \(-0.190872\pi\) |
−0.999589 | + | 0.0286733i | \(0.990872\pi\) | |||||||
\(128\) | −8.39362 | − | 6.09832i | −0.741898 | − | 0.539021i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.28315 | + | 3.94914i | −0.112540 | + | 0.346362i | ||||
\(131\) | −15.2292 | −1.33058 | −0.665290 | − | 0.746585i | \(-0.731692\pi\) | ||||
−0.665290 | + | 0.746585i | \(0.731692\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.34729 | −0.116825 | ||||||||
\(134\) | 0.305361 | − | 0.939805i | 0.0263792 | − | 0.0811868i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −9.30037 | − | 6.75712i | −0.797501 | − | 0.579418i | ||||
\(137\) | −5.90200 | − | 18.1645i | −0.504241 | − | 1.55190i | −0.802042 | − | 0.597268i | \(-0.796253\pi\) |
0.297801 | − | 0.954628i | \(-0.403747\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3.18676 | + | 2.31532i | 0.270297 | + | 0.196382i | 0.714674 | − | 0.699457i | \(-0.246575\pi\) |
−0.444377 | + | 0.895840i | \(0.646575\pi\) | |||||||
\(140\) | 3.43068 | − | 2.49253i | 0.289945 | − | 0.210657i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −3.37730 | −0.283417 | ||||||||
\(143\) | 5.69981 | − | 13.7632i | 0.476642 | − | 1.15094i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.802167 | − | 2.46882i | 0.0666163 | − | 0.205024i | ||||
\(146\) | −3.49595 | + | 2.53996i | −0.289327 | + | 0.210208i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −6.28922 | − | 19.3562i | −0.516971 | − | 1.59107i | ||||
\(149\) | −6.29823 | − | 19.3840i | −0.515971 | − | 1.58800i | −0.781508 | − | 0.623895i | \(-0.785549\pi\) |
0.265537 | − | 0.964101i | \(-0.414451\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.97808 | − | 2.89024i | 0.323732 | − | 0.235205i | −0.414035 | − | 0.910261i | \(-0.635881\pi\) |
0.737766 | + | 0.675056i | \(0.235881\pi\) | |||||||
\(152\) | −0.640914 | + | 1.97253i | −0.0519850 | + | 0.159993i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.13385 | − | 0.694931i | 0.0913683 | − | 0.0559992i | ||||
\(155\) | −18.7041 | −1.50235 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.81381 | + | 1.31781i | −0.144758 | + | 0.105173i | −0.657807 | − | 0.753186i | \(-0.728516\pi\) |
0.513049 | + | 0.858359i | \(0.328516\pi\) | |||||||
\(158\) | 0.879579 | + | 0.639052i | 0.0699756 | + | 0.0508402i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −3.06811 | − | 9.44268i | −0.242556 | − | 0.746510i | ||||
\(161\) | 3.45568 | + | 2.51070i | 0.272346 | + | 0.197871i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.03994 | + | 9.35597i | −0.238107 | + | 0.732816i | 0.758588 | + | 0.651571i | \(0.225890\pi\) |
−0.996694 | + | 0.0812454i | \(0.974110\pi\) | |||||||
\(164\) | 2.13666 | 0.166845 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.66050 | 0.284110 | ||||||||
\(167\) | 2.67139 | − | 8.22170i | 0.206719 | − | 0.636214i | −0.792920 | − | 0.609326i | \(-0.791440\pi\) |
0.999638 | − | 0.0268885i | \(-0.00855990\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.80389 | − | 4.21677i | −0.446453 | − | 0.324367i | ||||
\(170\) | −2.13339 | − | 6.56589i | −0.163623 | − | 0.503581i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 14.8119 | + | 10.7615i | 1.12940 | + | 0.820557i | ||||
\(173\) | −12.9178 | + | 9.38531i | −0.982120 | + | 0.713552i | −0.958181 | − | 0.286161i | \(-0.907621\pi\) |
−0.0239388 | + | 0.999713i | \(0.507621\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.315883 | 0.0238785 | ||||||||
\(176\) | 2.37080 | + | 9.87212i | 0.178706 | + | 0.744139i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.654898 | + | 2.01557i | −0.0490867 | + | 0.151073i | ||||
\(179\) | 14.2192 | − | 10.3308i | 1.06279 | − | 0.772163i | 0.0881881 | − | 0.996104i | \(-0.471892\pi\) |
0.974603 | + | 0.223941i | \(0.0718923\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 6.41658 | + | 19.7482i | 0.476941 | + | 1.46787i | 0.843322 | + | 0.537409i | \(0.180597\pi\) |
−0.366381 | + | 0.930465i | \(0.619403\pi\) | |||||||
\(182\) | −0.556532 | − | 1.71283i | −0.0412529 | − | 0.126963i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 5.31973 | − | 3.86501i | 0.392175 | − | 0.284932i | ||||
\(185\) | 7.88407 | − | 24.2647i | 0.579648 | − | 1.78397i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 5.78352 | + | 24.0829i | 0.422933 | + | 1.76111i | ||||
\(188\) | −23.6231 | −1.72289 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1.00767 | + | 0.732117i | −0.0731042 | + | 0.0531133i | ||||
\(191\) | −8.49477 | − | 6.17181i | −0.614660 | − | 0.446577i | 0.236392 | − | 0.971658i | \(-0.424035\pi\) |
−0.851052 | + | 0.525081i | \(0.824035\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −4.00178 | − | 12.3162i | −0.288054 | − | 0.886541i | −0.985466 | − | 0.169870i | \(-0.945665\pi\) |
0.697412 | − | 0.716670i | \(-0.254335\pi\) | |||||||
\(194\) | 1.86396 | + | 1.35424i | 0.133824 | + | 0.0972290i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.568351 | + | 1.74920i | −0.0405965 | + | 0.124943i | ||||
\(197\) | 0.664214 | 0.0473233 | 0.0236617 | − | 0.999720i | \(-0.492468\pi\) | ||||
0.0236617 | + | 0.999720i | \(0.492468\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 13.3550 | 0.946710 | 0.473355 | − | 0.880872i | \(-0.343043\pi\) | ||||
0.473355 | + | 0.880872i | \(0.343043\pi\) | |||||||
\(200\) | 0.150267 | − | 0.462474i | 0.0106255 | − | 0.0327019i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 3.10234 | + | 2.25398i | 0.218280 | + | 0.158590i | ||||
\(203\) | 0.347918 | + | 1.07078i | 0.0244191 | + | 0.0751542i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.16694 | + | 1.57438i | 0.151346 | + | 0.109959i | ||||
\(206\) | −0.261977 | + | 0.190337i | −0.0182528 | + | 0.0132614i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 13.7495 | 0.953354 | ||||||||
\(209\) | 3.80983 | − | 2.33503i | 0.263532 | − | 0.161517i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.04178 | − | 12.4393i | 0.278247 | − | 0.856358i | −0.710094 | − | 0.704106i | \(-0.751348\pi\) |
0.988342 | − | 0.152251i | \(-0.0486522\pi\) | |||||||
\(212\) | 17.4534 | − | 12.6807i | 1.19871 | − | 0.870911i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 2.08756 | + | 6.42484i | 0.142703 | + | 0.439193i | ||||
\(215\) | 7.09234 | + | 21.8280i | 0.483694 | + | 1.48866i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.56307 | − | 4.76835i | 0.445530 | − | 0.323697i | ||||
\(218\) | −1.16704 | + | 3.59177i | −0.0790418 | + | 0.243266i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −5.38129 | + | 12.9941i | −0.362807 | + | 0.876062i | ||||
\(221\) | 33.5416 | 2.25625 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −8.27567 | + | 6.01263i | −0.554180 | + | 0.402635i | −0.829324 | − | 0.558768i | \(-0.811274\pi\) |
0.275144 | + | 0.961403i | \(0.411274\pi\) | |||||||
\(224\) | 3.48385 | + | 2.53116i | 0.232774 | + | 0.169120i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.539166 | + | 1.65938i | 0.0358648 | + | 0.110380i | ||||
\(227\) | 2.41788 | + | 1.75669i | 0.160480 | + | 0.116596i | 0.665127 | − | 0.746730i | \(-0.268377\pi\) |
−0.504647 | + | 0.863326i | \(0.668377\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 6.21177 | − | 19.1179i | 0.410485 | − | 1.26334i | −0.505742 | − | 0.862685i | \(-0.668781\pi\) |
0.916227 | − | 0.400659i | \(-0.131219\pi\) | |||||||
\(230\) | 3.94890 | 0.260383 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.73321 | 0.113791 | ||||||||
\(233\) | −1.44327 | + | 4.44193i | −0.0945518 | + | 0.291001i | −0.987137 | − | 0.159879i | \(-0.948890\pi\) |
0.892585 | + | 0.450880i | \(0.148890\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −23.9579 | − | 17.4064i | −1.56284 | − | 1.13547i | ||||
\(236\) | 0.596158 | + | 1.83479i | 0.0388066 | + | 0.119434i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.42246 | + | 1.76002i | 0.157025 | + | 0.114085i | ||||
\(239\) | −18.4191 | + | 13.3823i | −1.19143 | + | 0.865628i | −0.993415 | − | 0.114570i | \(-0.963451\pi\) |
−0.198019 | + | 0.980198i | \(0.563451\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.83714 | −0.311587 | −0.155794 | − | 0.987790i | \(-0.549793\pi\) | ||||
−0.155794 | + | 0.987790i | \(0.549793\pi\) | |||||||
\(242\) | −2.00187 | + | 3.93021i | −0.128685 | + | 0.252643i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 3.80589 | − | 11.7133i | 0.243647 | − | 0.749869i | ||||
\(245\) | −1.86529 | + | 1.35521i | −0.119169 | + | 0.0865811i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.86999 | − | 5.75525i | −0.118985 | − | 0.366198i | ||||
\(248\) | −3.85911 | − | 11.8771i | −0.245054 | − | 0.754198i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −3.50336 | + | 2.54534i | −0.221572 | + | 0.160982i | ||||
\(251\) | −4.96145 | + | 15.2698i | −0.313164 | + | 0.963819i | 0.663340 | + | 0.748318i | \(0.269138\pi\) |
−0.976504 | + | 0.215501i | \(0.930862\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −14.1232 | − | 1.11055i | −0.887920 | − | 0.0698198i | ||||
\(254\) | 2.54512 | 0.159695 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −3.74678 | + | 2.72220i | −0.234174 | + | 0.170137i | ||||
\(257\) | −9.84920 | − | 7.15587i | −0.614376 | − | 0.446371i | 0.236576 | − | 0.971613i | \(-0.423975\pi\) |
−0.850953 | + | 0.525242i | \(0.823975\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 3.41950 | + | 10.5241i | 0.212477 | + | 0.653938i | ||||
\(260\) | 15.4090 | + | 11.1953i | 0.955629 | + | 0.694305i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 1.88700 | − | 5.80758i | 0.116579 | − | 0.358793i | ||||
\(263\) | −18.8786 | −1.16411 | −0.582053 | − | 0.813151i | \(-0.697750\pi\) | ||||
−0.582053 | + | 0.813151i | \(0.697750\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 27.0443 | 1.66132 | ||||||||
\(266\) | 0.166938 | − | 0.513784i | 0.0102356 | − | 0.0315021i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −3.66701 | − | 2.66424i | −0.223998 | − | 0.162744i | ||||
\(269\) | −0.219722 | − | 0.676236i | −0.0133967 | − | 0.0412308i | 0.944135 | − | 0.329560i | \(-0.106900\pi\) |
−0.957531 | + | 0.288329i | \(0.906900\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −11.9118 | − | 8.65441i | −0.723588 | − | 0.525718i | 0.163940 | − | 0.986470i | \(-0.447580\pi\) |
−0.887529 | + | 0.460753i | \(0.847580\pi\) | |||||||
\(272\) | −18.4942 | + | 13.4368i | −1.12137 | + | 0.814726i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 7.65823 | 0.462651 | ||||||||
\(275\) | −0.893244 | + | 0.547464i | −0.0538646 | + | 0.0330133i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 5.43342 | − | 16.7223i | 0.326462 | − | 1.00475i | −0.644314 | − | 0.764761i | \(-0.722857\pi\) |
0.970776 | − | 0.239987i | \(-0.0771430\pi\) | |||||||
\(278\) | −1.27779 | + | 0.928372i | −0.0766370 | + | 0.0556801i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.09679 | + | 3.37559i | 0.0655460 | + | 0.201730i | ||||
\(281\) | 4.62684 | + | 14.2399i | 0.276014 | + | 0.849484i | 0.988949 | + | 0.148254i | \(0.0473654\pi\) |
−0.712935 | + | 0.701230i | \(0.752635\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −14.1107 | + | 10.2520i | −0.838795 | + | 0.609421i | −0.922034 | − | 0.387109i | \(-0.873474\pi\) |
0.0832385 | + | 0.996530i | \(0.473474\pi\) | |||||||
\(284\) | −4.78713 | + | 14.7333i | −0.284064 | + | 0.874258i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 4.54229 | + | 3.87895i | 0.268591 | + | 0.229367i | ||||
\(287\) | −1.16172 | −0.0685742 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −31.3629 | + | 22.7865i | −1.84488 | + | 1.34038i | ||||
\(290\) | 0.842078 | + | 0.611805i | 0.0494485 | + | 0.0359264i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 6.12509 | + | 18.8511i | 0.358444 | + | 1.10318i | ||||
\(293\) | 21.0444 | + | 15.2897i | 1.22943 | + | 0.893231i | 0.996847 | − | 0.0793461i | \(-0.0252832\pi\) |
0.232580 | + | 0.972577i | \(0.425283\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.747334 | + | 2.30006i | −0.0435115 | + | 0.133915i | ||||
\(296\) | 17.0347 | 0.990124 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 8.17237 | 0.473413 | ||||||||
\(299\) | −5.92864 | + | 18.2465i | −0.342862 | + | 1.05522i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.05337 | − | 5.85111i | −0.464188 | − | 0.337253i | ||||
\(302\) | 0.609271 | + | 1.87514i | 0.0350596 | + | 0.107902i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 3.33664 | + | 2.42421i | 0.191369 | + | 0.139038i | ||||
\(305\) | 12.4906 | − | 9.07498i | 0.715212 | − | 0.519632i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −23.5921 | −1.34647 | −0.673236 | − | 0.739428i | \(-0.735096\pi\) | ||||
−0.673236 | + | 0.739428i | \(0.735096\pi\) | |||||||
\(308\) | −1.42442 | − | 5.93137i | −0.0811641 | − | 0.337971i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.31756 | − | 7.13273i | 0.131629 | − | 0.405112i | ||||
\(311\) | 3.68257 | − | 2.67555i | 0.208820 | − | 0.151716i | −0.478460 | − | 0.878109i | \(-0.658805\pi\) |
0.687279 | + | 0.726393i | \(0.258805\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.05657 | − | 12.4848i | −0.229291 | − | 0.705684i | −0.997828 | − | 0.0658787i | \(-0.979015\pi\) |
0.768537 | − | 0.639805i | \(-0.220985\pi\) | |||||||
\(314\) | −0.277798 | − | 0.854974i | −0.0156770 | − | 0.0482490i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 4.03457 | − | 2.93129i | 0.226962 | − | 0.164898i | ||||
\(317\) | 2.76370 | − | 8.50580i | 0.155225 | − | 0.477733i | −0.842959 | − | 0.537978i | \(-0.819188\pi\) |
0.998184 | + | 0.0602451i | \(0.0191882\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2.83963 | − | 2.42494i | −0.158989 | − | 0.135770i | ||||
\(320\) | −10.1348 | −0.566552 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −1.38563 | + | 1.00672i | −0.0772179 | + | 0.0561021i | ||||
\(323\) | 8.13967 | + | 5.91382i | 0.452904 | + | 0.329054i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.438434 | + | 1.34936i | 0.0243200 | + | 0.0748491i | ||||
\(326\) | −3.19119 | − | 2.31853i | −0.176744 | − | 0.128412i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.552637 | + | 1.70084i | −0.0305143 | + | 0.0939132i | ||||
\(329\) | 12.8441 | 0.708117 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 25.9302 | 1.42525 | 0.712627 | − | 0.701543i | \(-0.247505\pi\) | ||||
0.712627 | + | 0.701543i | \(0.247505\pi\) | |||||||
\(332\) | 5.18854 | − | 15.9687i | 0.284758 | − | 0.876396i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 2.80430 | + | 2.03745i | 0.153445 | + | 0.111484i | ||||
\(335\) | −1.75586 | − | 5.40398i | −0.0959328 | − | 0.295251i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 12.7469 | + | 9.26115i | 0.694367 | + | 0.504487i | 0.878093 | − | 0.478490i | \(-0.158816\pi\) |
−0.183726 | + | 0.982978i | \(0.558816\pi\) | |||||||
\(338\) | 2.32719 | − | 1.69080i | 0.126582 | − | 0.0919674i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −31.6672 | −1.71739 | ||||||||
\(341\) | −10.2947 | + | 24.8584i | −0.557490 | + | 1.34616i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0.309017 | − | 0.951057i | 0.0166853 | − | 0.0513522i | ||||
\(344\) | −12.3975 | + | 9.00728i | −0.668426 | + | 0.485640i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.97845 | − | 6.08903i | −0.106362 | − | 0.327349i | ||||
\(347\) | 0.689010 | + | 2.12055i | 0.0369880 | + | 0.113837i | 0.967846 | − | 0.251544i | \(-0.0809385\pi\) |
−0.930858 | + | 0.365382i | \(0.880938\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −7.78134 | + | 5.65347i | −0.416525 | + | 0.302623i | −0.776238 | − | 0.630440i | \(-0.782875\pi\) |
0.359713 | + | 0.933063i | \(0.382875\pi\) | |||||||
\(350\) | −0.0391400 | + | 0.120460i | −0.00209212 | + | 0.00643888i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −14.2383 | − | 1.11960i | −0.758906 | − | 0.0596750i | ||||
\(353\) | −9.98576 | −0.531488 | −0.265744 | − | 0.964044i | \(-0.585618\pi\) | ||||
−0.265744 | + | 0.964044i | \(0.585618\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −15.7110 | + | 11.4147i | −0.833852 | + | 0.605829i | ||||
\(356\) | 7.86450 | + | 5.71389i | 0.416818 | + | 0.302836i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 2.17777 | + | 6.70247i | 0.115098 | + | 0.354237i | ||||
\(359\) | 8.28988 | + | 6.02295i | 0.437523 | + | 0.317879i | 0.784650 | − | 0.619939i | \(-0.212843\pi\) |
−0.347127 | + | 0.937818i | \(0.612843\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.31040 | + | 16.3437i | −0.279495 | + | 0.860196i | ||||
\(362\) | −8.32595 | −0.437602 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −8.26096 | −0.432992 | ||||||||
\(365\) | −7.67832 | + | 23.6314i | −0.401901 | + | 1.23693i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.98740 | − | 2.17047i | −0.155941 | − | 0.113298i | 0.507079 | − | 0.861900i | \(-0.330725\pi\) |
−0.663020 | + | 0.748602i | \(0.730725\pi\) | |||||||
\(368\) | −4.04063 | − | 12.4358i | −0.210632 | − | 0.648259i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 8.27632 | + | 6.01310i | 0.430266 | + | 0.312606i | ||||
\(371\) | −9.48956 | + | 6.89457i | −0.492673 | + | 0.357948i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 17.2657 | 0.893986 | 0.446993 | − | 0.894538i | \(-0.352495\pi\) | ||||
0.446993 | + | 0.894538i | \(0.352495\pi\) | |||||||
\(374\) | −9.90050 | − | 0.778506i | −0.511943 | − | 0.0402556i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 6.10999 | − | 18.8046i | 0.315099 | − | 0.969774i | ||||
\(377\) | −4.09118 | + | 2.97242i | −0.210706 | + | 0.153087i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −1.60365 | − | 4.93553i | −0.0823740 | − | 0.253521i | 0.901384 | − | 0.433020i | \(-0.142552\pi\) |
−0.983758 | + | 0.179499i | \(0.942552\pi\) | |||||||
\(380\) | 1.76549 | + | 5.43363i | 0.0905679 | + | 0.278739i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 3.40615 | − | 2.47471i | 0.174274 | − | 0.126617i | ||||
\(383\) | −5.44524 | + | 16.7587i | −0.278239 | + | 0.856331i | 0.710105 | + | 0.704095i | \(0.248647\pi\) |
−0.988344 | + | 0.152236i | \(0.951353\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.92585 | − | 7.06499i | 0.149115 | − | 0.360065i | ||||
\(386\) | 5.19258 | 0.264295 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 8.54984 | − | 6.21183i | 0.434053 | − | 0.315358i | ||||
\(389\) | −8.59081 | − | 6.24159i | −0.435571 | − | 0.316461i | 0.348302 | − | 0.937383i | \(-0.386759\pi\) |
−0.783873 | + | 0.620922i | \(0.786759\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −9.85703 | − | 30.3368i | −0.498492 | − | 1.53420i | ||||
\(392\) | −1.24541 | − | 0.904845i | −0.0629028 | − | 0.0457016i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.0823005 | + | 0.253295i | −0.00414624 | + | 0.0127608i | ||||
\(395\) | 6.25163 | 0.314554 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 22.6262 | 1.13557 | 0.567787 | − | 0.823175i | \(-0.307800\pi\) | ||||
0.567787 | + | 0.823175i | \(0.307800\pi\) | |||||||
\(398\) | −1.65477 | + | 5.09286i | −0.0829462 | + | 0.255282i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.782300 | − | 0.568374i | −0.0391150 | − | 0.0284187i | ||||
\(401\) | 1.42441 | + | 4.38389i | 0.0711318 | + | 0.218921i | 0.980302 | − | 0.197503i | \(-0.0632832\pi\) |
−0.909170 | + | 0.416424i | \(0.863283\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 29.4784 | + | 21.4173i | 1.46842 | + | 1.06687i | ||||
\(404\) | 14.2302 | − | 10.3389i | 0.707980 | − | 0.514378i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.451447 | −0.0224049 | ||||||||
\(407\) | −27.9092 | − | 23.8334i | −1.38341 | − | 1.18138i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 6.50438 | − | 20.0184i | 0.321621 | − | 0.989848i | −0.651322 | − | 0.758802i | \(-0.725785\pi\) |
0.972943 | − | 0.231046i | \(-0.0742149\pi\) | |||||||
\(410\) | −0.868879 | + | 0.631278i | −0.0429109 | + | 0.0311766i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.458997 | + | 1.41265i | 0.0226132 | + | 0.0695962i | ||||
\(413\) | −0.324136 | − | 0.997588i | −0.0159497 | − | 0.0490881i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 17.0284 | − | 12.3719i | 0.835892 | − | 0.607311i | ||||
\(416\) | −5.97695 | + | 18.3952i | −0.293044 | + | 0.901897i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.418388 | + | 1.74219i | 0.0204640 | + | 0.0852131i | ||||
\(419\) | 14.0827 | 0.687984 | 0.343992 | − | 0.938973i | \(-0.388221\pi\) | ||||
0.343992 | + | 0.938973i | \(0.388221\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −22.3026 | + | 16.2038i | −1.08696 | + | 0.789725i | −0.978884 | − | 0.204417i | \(-0.934470\pi\) |
−0.108080 | + | 0.994142i | \(0.534470\pi\) | |||||||
\(422\) | 4.24287 | + | 3.08263i | 0.206540 | + | 0.150060i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 5.57990 | + | 17.1732i | 0.270984 | + | 0.834002i | ||||
\(425\) | −1.90841 | − | 1.38654i | −0.0925714 | − | 0.0672570i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −2.06929 | + | 6.36863i | −0.100140 | + | 0.308199i | ||||
\(428\) | 30.9869 | 1.49781 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −9.20279 | −0.443798 | ||||||||
\(431\) | −10.6424 | + | 32.7540i | −0.512627 | + | 1.57770i | 0.274931 | + | 0.961464i | \(0.411345\pi\) |
−0.787558 | + | 0.616240i | \(0.788655\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −13.0563 | − | 9.48594i | −0.627445 | − | 0.455865i | 0.228069 | − | 0.973645i | \(-0.426759\pi\) |
−0.855514 | + | 0.517780i | \(0.826759\pi\) | |||||||
\(434\) | 1.00518 | + | 3.09363i | 0.0482502 | + | 0.148499i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 14.0147 | + | 10.1823i | 0.671181 | + | 0.487641i | ||||
\(437\) | −4.65582 | + | 3.38265i | −0.222718 | + | 0.161814i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 19.3036 | 0.921309 | 0.460655 | − | 0.887580i | \(-0.347615\pi\) | ||||
0.460655 | + | 0.887580i | \(0.347615\pi\) | |||||||
\(440\) | −8.95180 | − | 7.64450i | −0.426760 | − | 0.364437i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −4.15602 | + | 12.7909i | −0.197682 | + | 0.608402i | ||||
\(443\) | −10.6233 | + | 7.71830i | −0.504730 | + | 0.366708i | −0.810821 | − | 0.585295i | \(-0.800979\pi\) |
0.306091 | + | 0.952002i | \(0.400979\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 3.76573 | + | 11.5897i | 0.178513 | + | 0.549406i | ||||
\(446\) | −1.26748 | − | 3.90089i | −0.0600168 | − | 0.184713i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 3.55619 | − | 2.58372i | 0.168014 | − | 0.122069i | ||||
\(449\) | −3.94032 | + | 12.1270i | −0.185955 | + | 0.572311i | −0.999964 | − | 0.00854221i | \(-0.997281\pi\) |
0.814008 | + | 0.580853i | \(0.197281\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 3.28508 | − | 2.01341i | 0.154688 | − | 0.0948077i | ||||
\(452\) | 8.00317 | 0.376437 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −0.969498 | + | 0.704382i | −0.0455008 | + | 0.0330583i | ||||
\(455\) | −8.37802 | − | 6.08699i | −0.392768 | − | 0.285362i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2.84121 | − | 8.74436i | −0.132906 | − | 0.409044i | 0.862352 | − | 0.506309i | \(-0.168991\pi\) |
−0.995259 | + | 0.0972652i | \(0.968991\pi\) | |||||||
\(458\) | 6.52083 | + | 4.73766i | 0.304698 | + | 0.221376i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 5.59733 | − | 17.2268i | 0.260977 | − | 0.803204i | ||||
\(461\) | 16.0714 | 0.748521 | 0.374260 | − | 0.927324i | \(-0.377897\pi\) | ||||
0.374260 | + | 0.927324i | \(0.377897\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 32.9203 | 1.52994 | 0.764968 | − | 0.644068i | \(-0.222755\pi\) | ||||
0.764968 | + | 0.644068i | \(0.222755\pi\) | |||||||
\(464\) | 1.06504 | − | 3.27786i | 0.0494434 | − | 0.152171i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −1.51508 | − | 1.10077i | −0.0701847 | − | 0.0509921i | ||||
\(467\) | −2.62969 | − | 8.09336i | −0.121688 | − | 0.374516i | 0.871595 | − | 0.490226i | \(-0.163086\pi\) |
−0.993283 | + | 0.115710i | \(0.963086\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.99378 | + | 1.44857i | 0.0920642 | + | 0.0668886i | ||||
\(470\) | 9.60639 | − | 6.97945i | 0.443110 | − | 0.321938i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −1.61473 | −0.0743240 | ||||||||
\(473\) | 32.9138 | + | 2.58811i | 1.51338 | + | 0.119001i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.131513 | + | 0.404757i | −0.00603425 | + | 0.0185715i | ||||
\(476\) | 11.1117 | − | 8.07310i | 0.509303 | − | 0.370030i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −2.82102 | − | 8.68220i | −0.129030 | − | 0.397115i | ||||
\(479\) | −2.94258 | − | 9.05634i | −0.134450 | − | 0.413795i | 0.861054 | − | 0.508513i | \(-0.169805\pi\) |
−0.995504 | + | 0.0947188i | \(0.969805\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −40.2100 | + | 29.2143i | −1.83342 | + | 1.33206i | ||||
\(482\) | 0.599353 | − | 1.84462i | 0.0272998 | − | 0.0840201i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 14.3078 | + | 14.3038i | 0.650352 | + | 0.650175i | ||||
\(485\) | 13.2481 | 0.601566 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 0.885370 | − | 0.643259i | 0.0401199 | − | 0.0291488i | −0.567545 | − | 0.823343i | \(-0.692107\pi\) |
0.607665 | + | 0.794194i | \(0.292107\pi\) | |||||||
\(488\) | 8.33974 | + | 6.05918i | 0.377522 | + | 0.274286i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.285681 | − | 0.879237i | −0.0129058 | − | 0.0397199i | ||||
\(491\) | −16.7211 | − | 12.1486i | −0.754611 | − | 0.548257i | 0.142642 | − | 0.989774i | \(-0.454440\pi\) |
−0.897253 | + | 0.441517i | \(0.854440\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.59815 | − | 7.99629i | 0.117015 | − | 0.360135i | ||||
\(494\) | 2.42644 | 0.109171 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −24.8336 | −1.11506 | ||||||||
\(497\) | 2.60280 | − | 8.01059i | 0.116751 | − | 0.359324i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −19.2829 | − | 14.0099i | −0.863222 | − | 0.627167i | 0.0655377 | − | 0.997850i | \(-0.479124\pi\) |
−0.928760 | + | 0.370683i | \(0.879124\pi\) | |||||||
\(500\) | 6.13808 | + | 18.8911i | 0.274503 | + | 0.844834i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −5.20830 | − | 3.78405i | −0.232458 | − | 0.168890i | ||||
\(503\) | −12.2240 | + | 8.88123i | −0.545039 | + | 0.395994i | −0.825953 | − | 0.563739i | \(-0.809362\pi\) |
0.280914 | + | 0.959733i | \(0.409362\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 22.0500 | 0.981210 | ||||||||
\(506\) | 2.17347 | − | 5.24822i | 0.0966223 | − | 0.233312i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 3.60755 | − | 11.1029i | 0.160059 | − | 0.492611i | ||||
\(509\) | −1.35615 | + | 0.985301i | −0.0601103 | + | 0.0436727i | −0.617435 | − | 0.786622i | \(-0.711828\pi\) |
0.557324 | + | 0.830295i | \(0.311828\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.33026 | − | 10.2495i | −0.147322 | − | 0.453411i | ||||
\(512\) | −6.98600 | − | 21.5007i | −0.308740 | − | 0.950206i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 3.94924 | − | 2.86929i | 0.174193 | − | 0.126559i | ||||
\(515\) | −0.575392 | + | 1.77087i | −0.0253548 | + | 0.0780340i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −36.3201 | + | 22.2604i | −1.59736 | + | 0.979011i | ||||
\(518\) | −4.43703 | −0.194952 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −12.8972 | + | 9.37039i | −0.565581 | + | 0.410919i | ||||
\(521\) | 29.1017 | + | 21.1436i | 1.27497 | + | 0.926319i | 0.999389 | − | 0.0349596i | \(-0.0111302\pi\) |
0.275580 | + | 0.961278i | \(0.411130\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −4.93227 | − | 15.1800i | −0.215673 | − | 0.663774i | −0.999105 | − | 0.0422964i | \(-0.986533\pi\) |
0.783432 | − | 0.621478i | \(-0.213467\pi\) | |||||||
\(524\) | −22.6605 | − | 16.4638i | −0.989927 | − | 0.719224i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 2.33919 | − | 7.19927i | 0.101993 | − | 0.313903i | ||||
\(527\) | −60.5811 | −2.63895 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −4.75463 | −0.206723 | ||||||||
\(530\) | −3.35097 | + | 10.3132i | −0.145557 | + | 0.447978i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −2.00472 | − | 1.45651i | −0.0869157 | − | 0.0631479i | ||||
\(533\) | −1.61243 | − | 4.96254i | −0.0698420 | − | 0.214952i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 31.4260 | + | 22.8323i | 1.35867 | + | 0.987129i | ||||
\(536\) | 3.06925 | − | 2.22994i | 0.132571 | − | 0.0963188i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0.285104 | 0.0122917 | ||||||||
\(539\) | 0.774471 | + | 3.22493i | 0.0333588 | + | 0.138908i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2.37528 | + | 7.31035i | −0.102121 | + | 0.314296i | −0.989044 | − | 0.147621i | \(-0.952838\pi\) |
0.886923 | + | 0.461917i | \(0.152838\pi\) | |||||||
\(542\) | 4.77626 | − | 3.47016i | 0.205158 | − | 0.149056i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −9.93737 | − | 30.5841i | −0.426061 | − | 1.31128i | ||||
\(545\) | 6.71059 | + | 20.6531i | 0.287450 | + | 0.884681i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −12.3328 | + | 8.96030i | −0.527312 | + | 0.383115i | −0.819351 | − | 0.573292i | \(-0.805666\pi\) |
0.292039 | + | 0.956406i | \(0.405666\pi\) | |||||||
\(548\) | 10.8551 | − | 33.4085i | 0.463706 | − | 1.42714i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.0980941 | − | 0.408469i | −0.00418275 | − | 0.0174172i | ||||
\(551\) | −1.51690 | −0.0646221 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.19363 | + | 1.59376i | −0.0932826 | + | 0.0677738i | ||||
\(554\) | 5.70375 | + | 4.14401i | 0.242329 | + | 0.176062i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 2.23876 | + | 6.89020i | 0.0949447 | + | 0.292210i | ||||
\(557\) | 1.69483 | + | 1.23137i | 0.0718123 | + | 0.0521747i | 0.623112 | − | 0.782132i | \(-0.285868\pi\) |
−0.551300 | + | 0.834307i | \(0.685868\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 13.8165 | − | 42.5228i | 0.584376 | − | 1.79852i | ||||
\(560\) | 7.05793 | 0.298252 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −6.00363 | −0.253248 | ||||||||
\(563\) | 3.04944 | − | 9.38523i | 0.128519 | − | 0.395540i | −0.866007 | − | 0.500032i | \(-0.833322\pi\) |
0.994526 | + | 0.104492i | \(0.0333216\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 8.11658 | + | 5.89704i | 0.341467 | + | 0.248090i | ||||
\(566\) | −2.16116 | − | 6.65135i | −0.0908401 | − | 0.279577i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −10.4899 | − | 7.62135i | −0.440146 | − | 0.319785i | ||||
\(569\) | −12.3543 | + | 8.97596i | −0.517921 | + | 0.376292i | −0.815820 | − | 0.578306i | \(-0.803714\pi\) |
0.297899 | + | 0.954597i | \(0.403714\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −20.5400 | −0.859573 | −0.429787 | − | 0.902930i | \(-0.641411\pi\) | ||||
−0.429787 | + | 0.902930i | \(0.641411\pi\) | |||||||
\(572\) | 23.3601 | − | 14.3173i | 0.976734 | − | 0.598635i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.143945 | − | 0.443017i | 0.00600815 | − | 0.0184912i | ||||
\(575\) | 1.09159 | − | 0.793087i | 0.0455225 | − | 0.0330740i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 13.6765 | + | 42.0920i | 0.569362 | + | 1.75231i | 0.654622 | + | 0.755956i | \(0.272828\pi\) |
−0.0852608 | + | 0.996359i | \(0.527172\pi\) | |||||||
\(578\) | −4.80345 | − | 14.7835i | −0.199797 | − | 0.614912i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 3.86255 | − | 2.80631i | 0.160384 | − | 0.116526i | ||||
\(581\) | −2.82105 | + | 8.68231i | −0.117037 | + | 0.360203i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 14.8851 | − | 35.9428i | 0.616479 | − | 1.48860i | ||||
\(584\) | −16.5902 | −0.686507 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −8.43818 | + | 6.13069i | −0.348578 | + | 0.253257i | ||||
\(587\) | −2.88772 | − | 2.09805i | −0.119189 | − | 0.0865959i | 0.526594 | − | 0.850117i | \(-0.323469\pi\) |
−0.645783 | + | 0.763521i | \(0.723469\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.37749 | + | 10.3948i | 0.139167 | + | 0.428312i | ||||
\(590\) | −0.784517 | − | 0.569985i | −0.0322980 | − | 0.0234659i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 10.4677 | − | 32.2164i | 0.430221 | − | 1.32408i | ||||
\(593\) | 11.2563 | 0.462240 | 0.231120 | − | 0.972925i | \(-0.425761\pi\) | ||||
0.231120 | + | 0.972925i | \(0.425761\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 17.2177 | 0.705857 | ||||||||
\(596\) | 11.5838 | − | 35.6514i | 0.474493 | − | 1.46034i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −6.22361 | − | 4.52171i | −0.254502 | − | 0.184907i | ||||
\(599\) | −13.4813 | − | 41.4911i | −0.550830 | − | 1.69528i | −0.706708 | − | 0.707505i | \(-0.749821\pi\) |
0.155878 | − | 0.987776i | \(-0.450179\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 14.3428 | + | 10.4206i | 0.585054 | + | 0.425066i | 0.840543 | − | 0.541746i | \(-0.182236\pi\) |
−0.255489 | + | 0.966812i | \(0.582236\pi\) | |||||||
\(602\) | 3.22916 | − | 2.34612i | 0.131611 | − | 0.0956208i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 9.04378 | 0.367986 | ||||||||
\(605\) | 3.97088 | + | 25.0490i | 0.161439 | + | 1.01839i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2.21483 | + | 6.81655i | −0.0898972 | + | 0.276675i | −0.985890 | − | 0.167393i | \(-0.946465\pi\) |
0.895993 | + | 0.444068i | \(0.146465\pi\) | |||||||
\(608\) | −4.69376 | + | 3.41022i | −0.190357 | + | 0.138303i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1.91303 | + | 5.88770i | 0.0774563 | + | 0.238386i | ||||
\(611\) | 17.8271 | + | 54.8662i | 0.721208 | + | 2.21965i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 10.0143 | − | 7.27582i | 0.404474 | − | 0.293868i | −0.366887 | − | 0.930266i | \(-0.619576\pi\) |
0.771361 | + | 0.636398i | \(0.219576\pi\) | |||||||
\(614\) | 2.92321 | − | 8.99673i | 0.117971 | − | 0.363078i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 5.08995 | + | 0.400238i | 0.205080 | + | 0.0161260i | ||||
\(617\) | 6.11777 | 0.246292 | 0.123146 | − | 0.992389i | \(-0.460702\pi\) | ||||
0.123146 | + | 0.992389i | \(0.460702\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −31.4088 | + | 22.8198i | −1.26243 | + | 0.917207i | −0.998874 | − | 0.0474378i | \(-0.984894\pi\) |
−0.263553 | + | 0.964645i | \(0.584894\pi\) | |||||||
\(620\) | −27.8310 | − | 20.2204i | −1.11772 | − | 0.812072i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0.564012 | + | 1.73585i | 0.0226148 | + | 0.0696012i | ||||
\(623\) | −4.27599 | − | 3.10669i | −0.171314 | − | 0.124467i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −8.18266 | + | 25.1836i | −0.327306 | + | 1.00735i | ||||
\(626\) | 5.26366 | 0.210378 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −4.12353 | −0.164547 | ||||||||
\(629\) | 25.5358 | − | 78.5912i | 1.01818 | − | 3.13364i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 7.85393 | + | 5.70621i | 0.312660 | + | 0.227161i | 0.733037 | − | 0.680189i | \(-0.238102\pi\) |
−0.420377 | + | 0.907350i | \(0.638102\pi\) | |||||||
\(632\) | 1.28986 | + | 3.96979i | 0.0513079 | + | 0.157910i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 2.90120 | + | 2.10785i | 0.115222 | + | 0.0837134i | ||||
\(635\) | 11.8397 | − | 8.60205i | 0.469844 | − | 0.341362i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 4.49155 | 0.177962 | ||||||||
\(638\) | 1.27659 | − | 0.782414i | 0.0505406 | − | 0.0309761i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 7.39199 | − | 22.7502i | 0.292194 | − | 0.899281i | ||||
\(641\) | 12.0125 | − | 8.72762i | 0.474467 | − | 0.344720i | −0.324713 | − | 0.945813i | \(-0.605268\pi\) |
0.799179 | + | 0.601093i | \(0.205268\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −0.327423 | − | 1.00771i | −0.0129123 | − | 0.0397400i | 0.944393 | − | 0.328820i | \(-0.106651\pi\) |
−0.957305 | + | 0.289080i | \(0.906651\pi\) | |||||||
\(644\) | 2.42769 | + | 7.47166i | 0.0956644 | + | 0.294425i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −3.26377 | + | 2.37126i | −0.128411 | + | 0.0932962i | ||||
\(647\) | −3.88194 | + | 11.9474i | −0.152615 | + | 0.469700i | −0.997911 | − | 0.0645974i | \(-0.979424\pi\) |
0.845297 | + | 0.534297i | \(0.179424\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 2.64553 | + | 2.25918i | 0.103846 | + | 0.0886806i | ||||
\(650\) | −0.568898 | −0.0223140 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −14.6378 | + | 10.6350i | −0.573259 | + | 0.416497i | ||||
\(653\) | −23.9585 | − | 17.4069i | −0.937568 | − | 0.681183i | 0.0102659 | − | 0.999947i | \(-0.496732\pi\) |
−0.947834 | + | 0.318764i | \(0.896732\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −10.8504 | − | 33.3942i | −0.423961 | − | 1.30482i | ||||
\(656\) | 2.87706 | + | 2.09031i | 0.112330 | + | 0.0816129i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −1.59147 | + | 4.89803i | −0.0620418 | + | 0.190945i | ||||
\(659\) | −9.45208 | −0.368201 | −0.184100 | − | 0.982907i | \(-0.558937\pi\) | ||||
−0.184100 | + | 0.982907i | \(0.558937\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −8.94284 | −0.347836 | −0.173918 | − | 0.984760i | \(-0.555643\pi\) | ||||
−0.173918 | + | 0.984760i | \(0.555643\pi\) | |||||||
\(662\) | −3.21292 | + | 9.88836i | −0.124874 | + | 0.384322i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 11.3695 | + | 8.26043i | 0.441223 | + | 0.320567i | ||||
\(665\) | −0.959913 | − | 2.95431i | −0.0372238 | − | 0.114563i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 3.89071 | + | 2.82677i | 0.150649 | + | 0.109453i | ||||
\(668\) | 12.8632 | − | 9.34563i | 0.497690 | − | 0.361593i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 2.27834 | 0.0880201 | ||||||||
\(671\) | −5.18614 | − | 21.5953i | −0.200209 | − | 0.833679i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 2.37389 | − | 7.30609i | 0.0915068 | − | 0.281629i | −0.894821 | − | 0.446426i | \(-0.852697\pi\) |
0.986328 | + | 0.164797i | \(0.0526968\pi\) | |||||||
\(674\) | −5.11112 | + | 3.71345i | −0.196873 | + | 0.143037i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −4.07735 | − | 12.5488i | −0.156821 | − | 0.482646i | ||||
\(677\) | −10.8302 | − | 33.3320i | −0.416240 | − | 1.28105i | −0.911138 | − | 0.412102i | \(-0.864795\pi\) |
0.494898 | − | 0.868951i | \(-0.335205\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −4.64862 | + | 3.37742i | −0.178398 | + | 0.129613i | ||||
\(680\) | 8.19055 | − | 25.2079i | 0.314093 | − | 0.966679i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −8.20406 | − | 7.00596i | −0.314150 | − | 0.268272i | ||||
\(683\) | −23.5098 | −0.899577 | −0.449789 | − | 0.893135i | \(-0.648501\pi\) | ||||
−0.449789 | + | 0.893135i | \(0.648501\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 35.6256 | − | 25.8835i | 1.36118 | − | 0.988957i | ||||
\(686\) | 0.324392 | + | 0.235684i | 0.0123853 | + | 0.00899847i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 9.41655 | + | 28.9812i | 0.359003 | + | 1.10490i | ||||
\(689\) | −42.6228 | − | 30.9673i | −1.62380 | − | 1.17976i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −5.01981 | + | 15.4494i | −0.190963 | + | 0.587723i | −1.00000 | 3.45787e-5i | \(-0.999989\pi\) | |
0.809037 | + | 0.587757i | \(0.199989\pi\) | |||||||
\(692\) | −29.3673 | −1.11638 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −0.894036 | −0.0339371 | ||||||||
\(695\) | −2.80648 | + | 8.63745i | −0.106456 | + | 0.327637i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 7.01855 | + | 5.09927i | 0.265846 | + | 0.193149i | ||||
\(698\) | −1.19177 | − | 3.66788i | −0.0451090 | − | 0.138831i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.470022 | + | 0.341491i | 0.0177652 | + | 0.0129071i | ||||
\(701\) | 18.2371 | − | 13.2501i | 0.688808 | − | 0.500448i | −0.187460 | − | 0.982272i | \(-0.560026\pi\) |
0.876268 | + | 0.481824i | \(0.160026\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −14.9088 | −0.562295 | ||||||||
\(704\) | −5.57816 | + | 13.4695i | −0.210235 | + | 0.507650i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.23730 | − | 3.80802i | 0.0465664 | − | 0.143317i | ||||
\(707\) | −7.73709 | + | 5.62132i | −0.290983 | + | 0.211412i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 7.45304 | + | 22.9381i | 0.279905 | + | 0.861458i | 0.987880 | + | 0.155221i | \(0.0496089\pi\) |
−0.707975 | + | 0.706238i | \(0.750391\pi\) | |||||||
\(710\) | −2.40625 | − | 7.40567i | −0.0903048 | − | 0.277930i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −6.58252 | + | 4.78248i | −0.246690 | + | 0.179231i | ||||
\(713\) | 10.7080 | − | 32.9558i | 0.401018 | − | 1.23421i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 34.2406 | + | 2.69244i | 1.28053 | + | 0.100692i | ||||
\(716\) | 32.3259 | 1.20808 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −3.32399 | + | 2.41502i | −0.124050 | + | 0.0901279i | ||||
\(719\) | −26.0574 | − | 18.9318i | −0.971776 | − | 0.706037i | −0.0159203 | − | 0.999873i | \(-0.505068\pi\) |
−0.955856 | + | 0.293837i | \(0.905068\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.249560 | − | 0.768068i | −0.00929412 | − | 0.0286044i | ||||
\(722\) | −5.57461 | − | 4.05019i | −0.207465 | − | 0.150732i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −11.8015 | + | 36.3214i | −0.438600 | + | 1.34987i | ||||
\(725\) | 0.355648 | 0.0132084 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 7.29214 | 0.270450 | 0.135225 | − | 0.990815i | \(-0.456824\pi\) | ||||
0.135225 | + | 0.990815i | \(0.456824\pi\) | |||||||
\(728\) | 2.13665 | − | 6.57594i | 0.0791896 | − | 0.243720i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −8.06034 | − | 5.85618i | −0.298326 | − | 0.216747i | ||||
\(731\) | 22.9715 | + | 70.6990i | 0.849632 | + | 2.61490i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −4.70741 | − | 3.42014i | −0.173872 | − | 0.126326i | 0.497446 | − | 0.867495i | \(-0.334271\pi\) |
−0.671318 | + | 0.741170i | \(0.734271\pi\) | |||||||
\(734\) | 1.19786 | − | 0.870295i | 0.0442138 | − | 0.0321232i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 18.3941 | 0.678014 | ||||||||
\(737\) | −8.14849 | − | 0.640740i | −0.300154 | − | 0.0236020i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −4.36063 | + | 13.4206i | −0.160408 | + | 0.493686i | −0.998669 | − | 0.0515840i | \(-0.983573\pi\) |
0.838260 | + | 0.545270i | \(0.183573\pi\) | |||||||
\(740\) | 37.9629 | − | 27.5817i | 1.39555 | − | 1.01392i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −1.45339 | − | 4.47308i | −0.0533557 | − | 0.164212i | ||||
\(743\) | 0.704889 | + | 2.16943i | 0.0258599 | + | 0.0795885i | 0.963154 | − | 0.268952i | \(-0.0866773\pi\) |
−0.937294 | + | 0.348541i | \(0.886677\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 38.0173 | − | 27.6212i | 1.39285 | − | 1.01196i | ||||
\(746\) | −2.13934 | + | 6.58420i | −0.0783267 | + | 0.241065i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −17.4296 | + | 42.0868i | −0.637288 | + | 1.53885i | ||||
\(749\) | −16.8478 | −0.615607 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 20.6194 | − | 14.9809i | 0.752412 | − | 0.546659i | −0.144161 | − | 0.989554i | \(-0.546048\pi\) |
0.896574 | + | 0.442895i | \(0.146048\pi\) | |||||||
\(752\) | −31.8090 | − | 23.1106i | −1.15996 | − | 0.842757i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.626592 | − | 1.92845i | −0.0228192 | − | 0.0702301i | ||||
\(755\) | 9.17194 | + | 6.66380i | 0.333801 | + | 0.242521i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 7.77059 | − | 23.9154i | 0.282427 | − | 0.869221i | −0.704731 | − | 0.709475i | \(-0.748932\pi\) |
0.987158 | − | 0.159746i | \(-0.0510677\pi\) | |||||||
\(758\) | 2.08084 | 0.0755796 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −4.78195 | −0.173460 | ||||||||
\(761\) | 8.79224 | − | 27.0597i | 0.318718 | − | 0.980914i | −0.655478 | − | 0.755214i | \(-0.727533\pi\) |
0.974197 | − | 0.225700i | \(-0.0724670\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −7.61988 | − | 5.53617i | −0.275858 | − | 0.200423i | ||||
\(764\) | −5.96775 | − | 18.3668i | −0.215906 | − | 0.664489i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −5.71616 | − | 4.15303i | −0.206533 | − | 0.150055i | ||||
\(767\) | 3.81152 | − | 2.76923i | 0.137626 | − | 0.0999912i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −45.0119 | −1.62317 | −0.811586 | − | 0.584233i | \(-0.801395\pi\) | ||||
−0.811586 | + | 0.584233i | \(0.801395\pi\) | |||||||
\(770\) | 2.33167 | + | 1.99116i | 0.0840275 | + | 0.0717564i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 7.36017 | − | 22.6523i | 0.264898 | − | 0.815273i | ||||
\(773\) | −24.9705 | + | 18.1422i | −0.898128 | + | 0.652528i | −0.937984 | − | 0.346677i | \(-0.887310\pi\) |
0.0398566 | + | 0.999205i | \(0.487310\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.791877 | − | 2.43715i | −0.0284451 | − | 0.0875449i | ||||
\(776\) | 2.73340 | + | 8.41255i | 0.0981235 | + | 0.301993i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 3.44466 | − | 2.50269i | 0.123497 | − | 0.0897258i | ||||
\(779\) | 0.483667 | − | 1.48857i | 0.0173292 | − | 0.0533337i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 6.52324 | + | 27.1631i | 0.233420 | + | 0.971971i | ||||
\(782\) | 12.7902 | 0.457375 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −2.47655 | + | 1.79932i | −0.0884483 | + | 0.0642614i | ||||
\(785\) | −4.18196 | − | 3.03837i | −0.149261 | − | 0.108444i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −11.0176 | − | 33.9085i | −0.392733 | − | 1.20871i | −0.930713 | − | 0.365751i | \(-0.880812\pi\) |
0.537980 | − | 0.842958i | \(-0.319188\pi\) | |||||||
\(788\) | 0.988326 | + | 0.718061i | 0.0352077 | + | 0.0255799i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −0.774618 | + | 2.38403i | −0.0275597 | + | 0.0848199i | ||||
\(791\) | −4.35139 | −0.154718 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −30.0771 | −1.06807 | ||||||||
\(794\) | −2.80353 | + | 8.62838i | −0.0994935 | + | 0.306210i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 19.8717 | + | 14.4376i | 0.704334 | + | 0.511729i | ||||
\(797\) | 13.7032 | + | 42.1740i | 0.485391 | + | 1.49388i | 0.831414 | + | 0.555653i | \(0.187532\pi\) |
−0.346023 | + | 0.938226i | \(0.612468\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −77.5975 | − | 56.3779i | −2.74520 | − | 1.99451i | ||||
\(800\) | 1.10049 | − | 0.799551i | 0.0389081 | − | 0.0282684i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −1.84827 | −0.0652647 | ||||||||
\(803\) | 27.1809 | + | 23.2114i | 0.959191 | + | 0.819114i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −3.04331 | + | 9.36635i | −0.107263 | + | 0.330120i | ||||
\(806\) | −11.8199 | + | 8.58769i | −0.416340 | + | 0.302488i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 4.54944 | + | 14.0017i | 0.160049 | + | 0.492579i | ||||
\(809\) | 1.98179 | + | 6.09932i | 0.0696760 | + | 0.214441i | 0.979831 | − | 0.199827i | \(-0.0640379\pi\) |
−0.910155 | + | 0.414267i | \(0.864038\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −27.9849 | + | 20.3322i | −0.982683 | + | 0.713961i | −0.958307 | − | 0.285742i | \(-0.907760\pi\) |
−0.0243767 | + | 0.999703i | \(0.507760\pi\) | |||||||
\(812\) | −0.639899 | + | 1.96941i | −0.0224561 | + | 0.0691126i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 12.5469 | − | 7.68992i | 0.439768 | − | 0.269532i | ||||
\(815\) | −22.6814 | −0.794496 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 10.8502 | − | 7.88316i | 0.379602 | − | 0.275797i | ||||
\(818\) | 6.82800 | + | 4.96083i | 0.238735 | + | 0.173451i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 1.52232 | + | 4.68522i | 0.0531618 | + | 0.163615i | ||||
\(821\) | 11.1679 | + | 8.11394i | 0.389762 | + | 0.283178i | 0.765358 | − | 0.643605i | \(-0.222562\pi\) |
−0.375596 | + | 0.926783i | \(0.622562\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −17.5513 | + | 54.0174i | −0.611801 | + | 1.88293i | −0.171168 | + | 0.985242i | \(0.554754\pi\) |
−0.440633 | + | 0.897687i | \(0.645246\pi\) | |||||||
\(824\) | −1.24322 | −0.0433097 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.420588 | 0.0146341 | ||||||||
\(827\) | 1.63590 | − | 5.03480i | 0.0568860 | − | 0.175077i | −0.918576 | − | 0.395244i | \(-0.870660\pi\) |
0.975462 | + | 0.220167i | \(0.0706601\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −24.8059 | − | 18.0225i | −0.861544 | − | 0.625948i | 0.0667606 | − | 0.997769i | \(-0.478734\pi\) |
−0.928305 | + | 0.371821i | \(0.878734\pi\) | |||||||
\(830\) | 2.60802 | + | 8.02666i | 0.0905257 | + | 0.278609i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 15.9728 | + | 11.6049i | 0.553757 | + | 0.402328i | ||||
\(833\) | −6.04150 | + | 4.38941i | −0.209326 | + | 0.152084i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 19.9316 | 0.689763 | ||||||||
\(836\) | 8.19321 | + | 0.644257i | 0.283368 | + | 0.0222821i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −1.74494 | + | 5.37036i | −0.0602778 | + | 0.185516i | ||||
\(839\) | 12.5166 | − | 9.09388i | 0.432123 | − | 0.313956i | −0.350374 | − | 0.936610i | \(-0.613946\pi\) |
0.782497 | + | 0.622654i | \(0.213946\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −8.56978 | − | 26.3751i | −0.295510 | − | 0.909485i | ||||
\(842\) | −3.41580 | − | 10.5128i | −0.117716 | − | 0.362294i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 19.4618 | − | 14.1398i | 0.669901 | − | 0.486712i | ||||
\(845\) | 5.11130 | − | 15.7310i | 0.175834 | − | 0.541162i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −7.77924 | − | 7.77711i | −0.267298 | − | 0.267225i | ||||
\(848\) | 35.9069 | 1.23305 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0.765214 | − | 0.555961i | 0.0262466 | − | 0.0190693i | ||||
\(851\) | 38.2397 | + | 27.7827i | 1.31084 | + | 0.952380i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −11.2368 | − | 34.5834i | −0.384741 | − | 1.18411i | −0.936668 | − | 0.350219i | \(-0.886107\pi\) |
0.551927 | − | 0.833893i | \(-0.313893\pi\) | |||||||
\(854\) | −2.17225 | − | 1.57823i | −0.0743327 | − | 0.0540059i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −8.01460 | + | 24.6664i | −0.273933 | + | 0.843080i | ||||
\(857\) | 17.0833 | 0.583554 | 0.291777 | − | 0.956486i | \(-0.405754\pi\) | ||||
0.291777 | + | 0.956486i | \(0.405754\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 21.3315 | 0.727822 | 0.363911 | − | 0.931434i | \(-0.381441\pi\) | ||||
0.363911 | + | 0.931434i | \(0.381441\pi\) | |||||||
\(860\) | −13.0444 | + | 40.1465i | −0.444810 | + | 1.36899i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −11.1719 | − | 8.11687i | −0.380517 | − | 0.276462i | ||||
\(863\) | 4.61965 | + | 14.2178i | 0.157255 | + | 0.483980i | 0.998382 | − | 0.0568564i | \(-0.0181077\pi\) |
−0.841128 | + | 0.540837i | \(0.818108\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −29.7835 | − | 21.6390i | −1.01267 | − | 0.735747i | ||||
\(866\) | 5.23518 | − | 3.80358i | 0.177899 | − | 0.129251i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 14.9205 | 0.506435 | ||||||||
\(869\) | 3.44088 | − | 8.30863i | 0.116724 | − | 0.281851i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −3.42057 | + | 10.5274i | −0.115901 | + | 0.356708i | ||||
\(872\) | −11.7302 | + | 8.52246i | −0.397233 | + | 0.288607i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.713071 | − | 2.19461i | −0.0241200 | − | 0.0742336i | ||||
\(875\) | −3.33732 | − | 10.2712i | −0.112822 | − | 0.347230i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −13.9555 | + | 10.1392i | −0.471242 | + | 0.342378i | −0.797925 | − | 0.602756i | \(-0.794069\pi\) |
0.326683 | + | 0.945134i | \(0.394069\pi\) | |||||||
\(878\) | −2.39184 | + | 7.36132i | −0.0807207 | + | 0.248433i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −19.9582 | + | 12.2323i | −0.672791 | + | 0.412350i | ||||
\(881\) | −2.58251 | −0.0870069 | −0.0435035 | − | 0.999053i | \(-0.513852\pi\) | ||||
−0.0435035 | + | 0.999053i | \(0.513852\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −29.2922 | + | 21.2821i | −0.985762 | + | 0.716198i | −0.958989 | − | 0.283443i | \(-0.908523\pi\) |
−0.0267732 | + | 0.999642i | \(0.508523\pi\) | |||||||
\(884\) | 49.9086 | + | 36.2607i | 1.67861 | + | 1.21958i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −1.62704 | − | 5.00751i | −0.0546614 | − | 0.168230i | ||||
\(887\) | −43.0200 | − | 31.2559i | −1.44447 | − | 1.04947i | −0.987084 | − | 0.160202i | \(-0.948785\pi\) |
−0.457387 | − | 0.889268i | \(-0.651215\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1.96145 | + | 6.03673i | −0.0657850 | + | 0.202465i | ||||
\(890\) | −4.88629 | −0.163789 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −18.8140 | −0.629938 | ||||||||
\(893\) | −5.34745 | + | 16.4578i | −0.178946 | + | 0.550738i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 32.7840 | + | 23.8190i | 1.09585 | + | 0.796180i | ||||
\(896\) | 3.20608 | + | 9.86729i | 0.107108 | + | 0.329643i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −4.13636 | − | 3.00524i | −0.138032 | − | 0.100286i | ||||
\(899\) | 7.38928 | − | 5.36862i | 0.246446 | − | 0.179054i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 87.5943 | 2.91819 | ||||||||
\(902\) | 0.360761 | + | 1.50222i | 0.0120120 | + | 0.0500186i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −2.06998 | + | 6.37073i | −0.0688464 | + | 0.211887i | ||||
\(905\) | −38.7317 | + | 28.1402i | −1.28749 | + | 0.935414i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 15.1300 | + | 46.5653i | 0.502382 | + | 1.54617i | 0.805127 | + | 0.593102i | \(0.202097\pi\) |
−0.302745 | + | 0.953072i | \(0.597903\pi\) | |||||||
\(908\) | 1.69861 | + | 5.22779i | 0.0563704 | + | 0.173490i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 3.35934 | − | 2.44070i | 0.111361 | − | 0.0809084i | ||||
\(911\) | 0.308429 | − | 0.949246i | 0.0102187 | − | 0.0314499i | −0.945817 | − | 0.324700i | \(-0.894737\pi\) |
0.956036 | + | 0.293250i | \(0.0947368\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −7.07024 | − | 29.4408i | −0.233991 | − | 0.974348i | ||||
\(914\) | 3.68667 | 0.121944 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 29.9106 | − | 21.7313i | 0.988274 | − | 0.718023i | ||||
\(917\) | 12.3207 | + | 8.95149i | 0.406864 | + | 0.295604i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 16.4871 | + | 50.7420i | 0.543859 | + | 1.67382i | 0.723688 | + | 0.690127i | \(0.242445\pi\) |
−0.179830 | + | 0.983698i | \(0.557555\pi\) | |||||||
\(920\) | 12.2653 | + | 8.91124i | 0.404374 | + | 0.293795i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −1.99136 | + | 6.12876i | −0.0655818 | + | 0.201840i | ||||
\(923\) | 37.8315 | 1.24524 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.49547 | 0.114930 | ||||||||
\(926\) | −4.07904 | + | 12.5540i | −0.134046 | + | 0.412550i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 3.92242 | + | 2.84980i | 0.128760 | + | 0.0935494i | ||||
\(929\) | 0.842763 | + | 2.59376i | 0.0276501 | + | 0.0850984i | 0.963929 | − | 0.266158i | \(-0.0857544\pi\) |
−0.936279 | + | 0.351257i | \(0.885754\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.08998 | + | 0.791919i | 0.0357227 | + | 0.0259541i | ||||
\(932\) | −6.94956 | + | 5.04915i | −0.227641 | + | 0.165391i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 3.41220 | 0.111651 | ||||||||
\(935\) | −48.6877 | + | 29.8404i | −1.59226 | + | 0.975886i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 3.91631 | − | 12.0532i | 0.127940 | − | 0.393760i | −0.866485 | − | 0.499203i | \(-0.833626\pi\) |
0.994425 | + | 0.105443i | \(0.0336261\pi\) | |||||||
\(938\) | −0.799446 | + | 0.580832i | −0.0261028 | + | 0.0189648i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −16.8309 | − | 51.8002i | −0.548963 | − | 1.68954i | ||||
\(941\) | −1.85489 | − | 5.70877i | −0.0604677 | − | 0.186101i | 0.916260 | − | 0.400585i | \(-0.131193\pi\) |
−0.976727 | + | 0.214484i | \(0.931193\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −4.01454 | + | 2.91674i | −0.130731 | + | 0.0949820i | ||||
\(944\) | −0.992241 | + | 3.05380i | −0.0322947 | + | 0.0993928i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −5.06520 | + | 12.2308i | −0.164684 | + | 0.397658i | ||||
\(947\) | −20.2935 | −0.659450 | −0.329725 | − | 0.944077i | \(-0.606956\pi\) | ||||
−0.329725 | + | 0.944077i | \(0.606956\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 39.1606 | − | 28.4519i | 1.27121 | − | 0.923586i | ||||
\(950\) | −0.138057 | − | 0.100304i | −0.00447915 | − | 0.00325429i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 3.55243 | + | 10.9332i | 0.115135 | + | 0.354349i | ||||
\(953\) | 20.7822 | + | 15.0991i | 0.673201 | + | 0.489109i | 0.871095 | − | 0.491115i | \(-0.163410\pi\) |
−0.197894 | + | 0.980223i | \(0.563410\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 7.48108 | − | 23.0244i | 0.242082 | − | 0.745052i | ||||
\(956\) | −41.8741 | −1.35431 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 3.81820 | 0.123360 | ||||||||
\(959\) | −5.90200 | + | 18.1645i | −0.190585 | + | 0.586561i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −28.1628 | − | 20.4614i | −0.908476 | − | 0.660047i | ||||
\(962\) | −6.15844 | − | 18.9537i | −0.198556 | − | 0.611093i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −7.19748 | − | 5.22927i | −0.231815 | − | 0.168424i | ||||
\(965\) | 24.1555 | − | 17.5500i | 0.777594 | − | 0.564955i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −3.86788 | −0.124383 | −0.0621914 | − | 0.998064i | \(-0.519809\pi\) | ||||
−0.0621914 | + | 0.998064i | \(0.519809\pi\) | |||||||
\(968\) | −15.0869 | + | 7.68973i | −0.484910 | + | 0.247157i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −1.64153 | + | 5.05210i | −0.0527063 | + | 0.162213i | ||||
\(971\) | 20.8901 | − | 15.1776i | 0.670397 | − | 0.487072i | −0.199761 | − | 0.979845i | \(-0.564017\pi\) |
0.870158 | + | 0.492773i | \(0.164017\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −1.21723 | − | 3.74626i | −0.0390227 | − | 0.120100i | ||||
\(974\) | 0.135601 | + | 0.417336i | 0.00434492 | + | 0.0133723i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 16.5839 | − | 12.0489i | 0.530838 | − | 0.385676i | ||||
\(977\) | −16.1377 | + | 49.6667i | −0.516291 | + | 1.58898i | 0.264631 | + | 0.964350i | \(0.414750\pi\) |
−0.780921 | + | 0.624630i | \(0.785250\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 17.4758 | + | 1.37417i | 0.558529 | + | 0.0439188i | ||||
\(980\) | −4.24055 | −0.135459 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 6.70465 | − | 4.87121i | 0.213954 | − | 0.155447i | ||||
\(983\) | 26.2894 | + | 19.1004i | 0.838502 | + | 0.609208i | 0.921952 | − | 0.387304i | \(-0.126594\pi\) |
−0.0834495 | + | 0.996512i | \(0.526594\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.473237 | + | 1.45647i | 0.0150786 | + | 0.0464071i | ||||
\(986\) | 2.72742 | + | 1.98159i | 0.0868587 | + | 0.0631065i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 3.43934 | − | 10.5852i | 0.109420 | − | 0.336760i | ||||
\(989\) | −42.5203 | −1.35207 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1.37062 | 0.0435391 | 0.0217695 | − | 0.999763i | \(-0.493070\pi\) | ||||
0.0217695 | + | 0.999763i | \(0.493070\pi\) | |||||||
\(992\) | 10.7953 | − | 33.2244i | 0.342750 | − | 1.05488i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 2.73230 | + | 1.98513i | 0.0866632 | + | 0.0629645i | ||||
\(995\) | 9.51510 | + | 29.2845i | 0.301649 | + | 0.928380i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −6.99282 | − | 5.08058i | −0.221465 | − | 0.160904i | 0.471521 | − | 0.881855i | \(-0.343705\pi\) |
−0.692986 | + | 0.720951i | \(0.743705\pi\) | |||||||
\(998\) | 7.73187 | − | 5.61753i | 0.244748 | − | 0.177820i | ||||
\(999\) | 0 | 0 |
(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 | 693.2.m.k.64.4 | ✓ | 32 | |
3.2 | odd | 2 | inner | 693.2.m.k.64.5 | yes | 32 | |
11.4 | even | 5 | 7623.2.a.dc.1.8 | 16 | |||
11.5 | even | 5 | inner | 693.2.m.k.379.4 | yes | 32 | |
11.7 | odd | 10 | 7623.2.a.db.1.9 | 16 | |||
33.5 | odd | 10 | inner | 693.2.m.k.379.5 | yes | 32 | |
33.26 | odd | 10 | 7623.2.a.dc.1.9 | 16 | |||
33.29 | even | 10 | 7623.2.a.db.1.8 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
693.2.m.k.64.4 | ✓ | 32 | 1.1 | even | 1 | trivial | |
693.2.m.k.64.5 | yes | 32 | 3.2 | odd | 2 | inner | |
693.2.m.k.379.4 | yes | 32 | 11.5 | even | 5 | inner | |
693.2.m.k.379.5 | yes | 32 | 33.5 | odd | 10 | inner | |
7623.2.a.db.1.8 | 16 | 33.29 | even | 10 | |||
7623.2.a.db.1.9 | 16 | 11.7 | odd | 10 | |||
7623.2.a.dc.1.8 | 16 | 11.4 | even | 5 | |||
7623.2.a.dc.1.9 | 16 | 33.26 | odd | 10 |