Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(44,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 4, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.44");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.cd (of order \(12\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 44.3 | ||
Character | \(\chi\) | \(=\) | 273.44 |
Dual form | 273.2.cd.e.242.3 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.41247 | + | 0.646418i | −1.70587 | + | 0.457087i | −0.974407 | − | 0.224793i | \(-0.927830\pi\) |
−0.731465 | + | 0.681879i | \(0.761163\pi\) | |||||||
\(3\) | 0.872737 | − | 1.49611i | 0.503875 | − | 0.863777i | ||||
\(4\) | 3.67009 | − | 2.11892i | 1.83504 | − | 1.05946i | ||||
\(5\) | −1.51647 | + | 0.406338i | −0.678188 | + | 0.181720i | −0.581440 | − | 0.813589i | \(-0.697511\pi\) |
−0.0967477 | + | 0.995309i | \(0.530844\pi\) | |||||||
\(6\) | −1.13834 | + | 4.17346i | −0.464724 | + | 1.70381i | ||||
\(7\) | −1.79039 | − | 1.94795i | −0.676704 | − | 0.736255i | ||||
\(8\) | −3.95215 | + | 3.95215i | −1.39730 | + | 1.39730i | ||||
\(9\) | −1.47666 | − | 2.61141i | −0.492221 | − | 0.870471i | ||||
\(10\) | 3.39578 | − | 1.96055i | 1.07384 | − | 0.619982i | ||||
\(11\) | −1.16460 | − | 0.312052i | −0.351139 | − | 0.0940874i | 0.0789383 | − | 0.996880i | \(-0.474847\pi\) |
−0.430077 | + | 0.902792i | \(0.641514\pi\) | |||||||
\(12\) | 0.0328833 | − | 7.34010i | 0.00949260 | − | 2.11890i | ||||
\(13\) | −1.67805 | + | 3.19126i | −0.465407 | + | 0.885097i | ||||
\(14\) | 5.57845 | + | 3.54202i | 1.49090 | + | 0.946644i | ||||
\(15\) | −0.715558 | + | 2.62343i | −0.184756 | + | 0.677367i | ||||
\(16\) | 2.74184 | − | 4.74900i | 0.685459 | − | 1.18725i | ||||
\(17\) | −0.0180259 | − | 0.0312218i | −0.00437193 | − | 0.00757241i | 0.863831 | − | 0.503781i | \(-0.168058\pi\) |
−0.868203 | + | 0.496209i | \(0.834725\pi\) | |||||||
\(18\) | 5.25046 | + | 5.34540i | 1.23755 | + | 1.25992i | ||||
\(19\) | 0.354340 | + | 1.32242i | 0.0812912 | + | 0.303383i | 0.994586 | − | 0.103916i | \(-0.0331373\pi\) |
−0.913295 | + | 0.407299i | \(0.866471\pi\) | |||||||
\(20\) | −4.70459 | + | 4.70459i | −1.05198 | + | 1.05198i | ||||
\(21\) | −4.47687 | + | 0.978568i | −0.976934 | + | 0.213541i | ||||
\(22\) | 3.01126 | 0.642004 | ||||||||
\(23\) | −2.87493 | + | 4.97952i | −0.599464 | + | 1.03830i | 0.393436 | + | 0.919352i | \(0.371286\pi\) |
−0.992900 | + | 0.118950i | \(0.962047\pi\) | |||||||
\(24\) | 2.46365 | + | 9.36202i | 0.502890 | + | 1.91101i | ||||
\(25\) | −2.19554 | + | 1.26760i | −0.439108 | + | 0.253519i | ||||
\(26\) | 1.98535 | − | 8.78353i | 0.389359 | − | 1.72259i | ||||
\(27\) | −5.19568 | − | 0.0698330i | −0.999910 | − | 0.0134394i | ||||
\(28\) | −10.6984 | − | 3.35543i | −2.02182 | − | 0.634117i | ||||
\(29\) | − | 10.4846i | − | 1.94695i | −0.228798 | − | 0.973474i | \(-0.573480\pi\) | ||
0.228798 | − | 0.973474i | \(-0.426520\pi\) | |||||||
\(30\) | 0.0304256 | − | 6.79149i | 0.00555493 | − | 1.23995i | ||||
\(31\) | −1.26381 | − | 0.338636i | −0.226986 | − | 0.0608208i | 0.143533 | − | 0.989646i | \(-0.454154\pi\) |
−0.370519 | + | 0.928825i | \(0.620820\pi\) | |||||||
\(32\) | −0.651571 | + | 2.43170i | −0.115183 | + | 0.429867i | ||||
\(33\) | −1.48325 | + | 1.47002i | −0.258200 | + | 0.255897i | ||||
\(34\) | 0.0636693 | + | 0.0636693i | 0.0109192 | + | 0.0109192i | ||||
\(35\) | 3.50661 | + | 2.22651i | 0.592725 | + | 0.376349i | ||||
\(36\) | −10.9529 | − | 6.45517i | −1.82548 | − | 1.07586i | ||||
\(37\) | −9.47419 | + | 2.53860i | −1.55755 | + | 0.417343i | −0.931886 | − | 0.362752i | \(-0.881837\pi\) |
−0.625661 | + | 0.780095i | \(0.715171\pi\) | |||||||
\(38\) | −1.70967 | − | 2.96123i | −0.277345 | − | 0.480375i | ||||
\(39\) | 3.30997 | + | 5.29567i | 0.530019 | + | 0.847986i | ||||
\(40\) | 4.38743 | − | 7.59925i | 0.693713 | − | 1.20155i | ||||
\(41\) | −2.92653 | − | 2.92653i | −0.457048 | − | 0.457048i | 0.440637 | − | 0.897685i | \(-0.354752\pi\) |
−0.897685 | + | 0.440637i | \(0.854752\pi\) | |||||||
\(42\) | 10.1677 | − | 5.25470i | 1.56892 | − | 0.810817i | ||||
\(43\) | − | 4.27650i | − | 0.652160i | −0.945342 | − | 0.326080i | \(-0.894272\pi\) | ||
0.945342 | − | 0.326080i | \(-0.105728\pi\) | |||||||
\(44\) | −4.93538 | + | 1.32243i | −0.744037 | + | 0.199364i | ||||
\(45\) | 3.30044 | + | 3.36012i | 0.492000 | + | 0.500897i | ||||
\(46\) | 3.71681 | − | 13.8713i | 0.548014 | − | 2.04522i | ||||
\(47\) | −0.106809 | − | 0.398617i | −0.0155797 | − | 0.0581443i | 0.957698 | − | 0.287774i | \(-0.0929152\pi\) |
−0.973278 | + | 0.229630i | \(0.926249\pi\) | |||||||
\(48\) | −4.71210 | − | 8.24670i | −0.680133 | − | 1.19031i | ||||
\(49\) | −0.589001 | + | 6.97518i | −0.0841430 | + | 0.996454i | ||||
\(50\) | 4.47727 | − | 4.47727i | 0.633182 | − | 0.633182i | ||||
\(51\) | −0.0624430 | 0.000279742i | −0.00874377 | 3.91717e-5i | ||||||
\(52\) | 0.603453 | + | 15.2679i | 0.0836839 | + | 2.11727i | ||||
\(53\) | −7.13704 | + | 4.12057i | −0.980348 | + | 0.566004i | −0.902375 | − | 0.430952i | \(-0.858178\pi\) |
−0.0779726 | + | 0.996956i | \(0.524845\pi\) | |||||||
\(54\) | 12.5796 | − | 3.19012i | 1.71186 | − | 0.434120i | ||||
\(55\) | 1.89288 | 0.255236 | ||||||||
\(56\) | 14.7745 | + | 0.622688i | 1.97432 | + | 0.0832102i | ||||
\(57\) | 2.28772 | + | 0.623990i | 0.303016 | + | 0.0826495i | ||||
\(58\) | 6.77746 | + | 25.2938i | 0.889924 | + | 3.32124i | ||||
\(59\) | 7.56335 | + | 2.02659i | 0.984665 | + | 0.263840i | 0.715008 | − | 0.699116i | \(-0.246423\pi\) |
0.269657 | + | 0.962956i | \(0.413090\pi\) | |||||||
\(60\) | 2.93270 | + | 11.1444i | 0.378609 | + | 1.43874i | ||||
\(61\) | 5.41126 | − | 9.37258i | 0.692841 | − | 1.20004i | −0.278062 | − | 0.960563i | \(-0.589692\pi\) |
0.970903 | − | 0.239473i | \(-0.0769745\pi\) | |||||||
\(62\) | 3.26779 | 0.415010 | ||||||||
\(63\) | −2.44309 | + | 7.55191i | −0.307801 | + | 0.951451i | ||||
\(64\) | 4.67977i | 0.584971i | ||||||||
\(65\) | 1.24799 | − | 5.52132i | 0.154794 | − | 0.684836i | ||||
\(66\) | 2.62804 | − | 4.50517i | 0.323489 | − | 0.554548i | ||||
\(67\) | 3.10471 | + | 0.831905i | 0.379301 | + | 0.101633i | 0.443432 | − | 0.896308i | \(-0.353761\pi\) |
−0.0641309 | + | 0.997941i | \(0.520428\pi\) | |||||||
\(68\) | −0.132313 | − | 0.0763912i | −0.0160454 | − | 0.00926379i | ||||
\(69\) | 4.94083 | + | 8.64701i | 0.594806 | + | 1.04098i | ||||
\(70\) | −9.89883 | − | 3.10464i | −1.18314 | − | 0.371076i | ||||
\(71\) | 5.73066 | + | 5.73066i | 0.680105 | + | 0.680105i | 0.960024 | − | 0.279919i | \(-0.0903076\pi\) |
−0.279919 | + | 0.960024i | \(0.590308\pi\) | |||||||
\(72\) | 16.1567 | + | 4.48470i | 1.90408 | + | 0.528527i | ||||
\(73\) | 3.30991 | − | 12.3528i | 0.387396 | − | 1.44578i | −0.446960 | − | 0.894554i | \(-0.647493\pi\) |
0.834356 | − | 0.551227i | \(-0.185840\pi\) | |||||||
\(74\) | 21.2152 | − | 12.2486i | 2.46621 | − | 1.42387i | ||||
\(75\) | −0.0196717 | + | 4.39104i | −0.00227149 | + | 0.507034i | ||||
\(76\) | 4.10256 | + | 4.10256i | 0.470596 | + | 0.470596i | ||||
\(77\) | 1.47722 | + | 2.82727i | 0.168345 | + | 0.322197i | ||||
\(78\) | −11.4084 | − | 10.6360i | −1.29175 | − | 1.20429i | ||||
\(79\) | 1.15250 | − | 1.99619i | 0.129667 | − | 0.224589i | −0.793881 | − | 0.608073i | \(-0.791943\pi\) |
0.923547 | + | 0.383484i | \(0.125276\pi\) | |||||||
\(80\) | −2.22823 | + | 8.31585i | −0.249123 | + | 0.929740i | ||||
\(81\) | −4.63894 | + | 7.71234i | −0.515438 | + | 0.856927i | ||||
\(82\) | 8.95193 | + | 5.16840i | 0.988575 | + | 0.570754i | ||||
\(83\) | −9.19760 | − | 9.19760i | −1.00957 | − | 1.00957i | −0.999954 | − | 0.00961355i | \(-0.996940\pi\) |
−0.00961355 | − | 0.999954i | \(-0.503060\pi\) | |||||||
\(84\) | −14.3570 | + | 13.0776i | −1.56648 | + | 1.42688i | ||||
\(85\) | 0.0400225 | + | 0.0400225i | 0.00434105 | + | 0.00434105i | ||||
\(86\) | 2.76441 | + | 10.3169i | 0.298094 | + | 1.11250i | ||||
\(87\) | −15.6861 | − | 9.15032i | −1.68173 | − | 0.981018i | ||||
\(88\) | 5.83593 | − | 3.36938i | 0.622113 | − | 0.359177i | ||||
\(89\) | −1.95890 | − | 7.31073i | −0.207643 | − | 0.774936i | −0.988628 | − | 0.150385i | \(-0.951949\pi\) |
0.780984 | − | 0.624551i | \(-0.214718\pi\) | |||||||
\(90\) | −10.1342 | − | 5.97270i | −1.06824 | − | 0.629578i | ||||
\(91\) | 9.22078 | − | 2.44485i | 0.966600 | − | 0.256290i | ||||
\(92\) | 24.3670i | 2.54044i | ||||||||
\(93\) | −1.60960 | + | 1.59525i | −0.166908 | + | 0.165419i | ||||
\(94\) | 0.515347 | + | 0.892608i | 0.0531540 | + | 0.0920655i | ||||
\(95\) | −1.07470 | − | 1.86143i | −0.110261 | − | 0.190978i | ||||
\(96\) | 3.06942 | + | 3.09705i | 0.313272 | + | 0.316091i | ||||
\(97\) | 12.3676 | − | 12.3676i | 1.25574 | − | 1.25574i | 0.302635 | − | 0.953106i | \(-0.402134\pi\) |
0.953106 | − | 0.302635i | \(-0.0978664\pi\) | |||||||
\(98\) | −3.08794 | − | 17.2081i | −0.311929 | − | 1.73828i | ||||
\(99\) | 0.904816 | + | 3.50203i | 0.0909375 | + | 0.351968i | ||||
\(100\) | −5.37188 | + | 9.30437i | −0.537188 | + | 0.930437i | ||||
\(101\) | 2.70146 | + | 4.67907i | 0.268805 | + | 0.465585i | 0.968554 | − | 0.248805i | \(-0.0800378\pi\) |
−0.699748 | + | 0.714390i | \(0.746704\pi\) | |||||||
\(102\) | 0.150823 | − | 0.0396894i | 0.0149337 | − | 0.00392984i | ||||
\(103\) | −13.0145 | − | 7.51391i | −1.28236 | − | 0.740368i | −0.305077 | − | 0.952328i | \(-0.598682\pi\) |
−0.977278 | + | 0.211960i | \(0.932015\pi\) | |||||||
\(104\) | −5.98043 | − | 19.2442i | −0.586430 | − | 1.88705i | ||||
\(105\) | 6.39144 | − | 3.30310i | 0.623741 | − | 0.322349i | ||||
\(106\) | 14.5543 | − | 14.5543i | 1.41363 | − | 1.41363i | ||||
\(107\) | 13.8001 | + | 7.96747i | 1.33410 | + | 0.770244i | 0.985926 | − | 0.167185i | \(-0.0534676\pi\) |
0.348177 | + | 0.937429i | \(0.386801\pi\) | |||||||
\(108\) | −19.2166 | + | 10.7530i | −1.84912 | + | 1.03470i | ||||
\(109\) | −5.35365 | − | 1.43451i | −0.512787 | − | 0.137401i | −0.00685882 | − | 0.999976i | \(-0.502183\pi\) |
−0.505928 | + | 0.862576i | \(0.668850\pi\) | |||||||
\(110\) | −4.56651 | + | 1.22359i | −0.435399 | + | 0.116665i | ||||
\(111\) | −4.47046 | + | 16.3899i | −0.424317 | + | 1.55566i | ||||
\(112\) | −14.1598 | + | 3.16161i | −1.33797 | + | 0.298744i | ||||
\(113\) | 7.44891i | 0.700734i | 0.936612 | + | 0.350367i | \(0.113943\pi\) | ||||
−0.936612 | + | 0.350367i | \(0.886057\pi\) | |||||||
\(114\) | −5.92240 | − | 0.0265321i | −0.554684 | − | 0.00248496i | ||||
\(115\) | 2.33639 | − | 8.71951i | 0.217869 | − | 0.813099i | ||||
\(116\) | −22.2162 | − | 38.4795i | −2.06272 | − | 3.57273i | ||||
\(117\) | 10.8116 | − | 0.330332i | 0.999534 | − | 0.0305392i | ||||
\(118\) | −19.5564 | −1.80031 | ||||||||
\(119\) | −0.0285450 | + | 0.0910128i | −0.00261672 | + | 0.00834313i | ||||
\(120\) | −7.54020 | − | 13.1962i | −0.688323 | − | 1.20464i | ||||
\(121\) | −8.26737 | − | 4.77317i | −0.751579 | − | 0.433925i | ||||
\(122\) | −6.99588 | + | 26.1090i | −0.633377 | + | 2.36379i | ||||
\(123\) | −6.93250 | + | 1.82431i | −0.625082 | + | 0.164492i | ||||
\(124\) | −5.35582 | + | 1.43509i | −0.480967 | + | 0.128875i | ||||
\(125\) | 8.36509 | − | 8.36509i | 0.748197 | − | 0.748197i | ||||
\(126\) | 1.01218 | − | 19.7980i | 0.0901725 | − | 1.76374i | ||||
\(127\) | 6.26805i | 0.556199i | 0.960552 | + | 0.278100i | \(0.0897045\pi\) | ||||
−0.960552 | + | 0.278100i | \(0.910295\pi\) | |||||||
\(128\) | −4.32823 | − | 16.1532i | −0.382565 | − | 1.42775i | ||||
\(129\) | −6.39809 | − | 3.73226i | −0.563321 | − | 0.328607i | ||||
\(130\) | 0.558351 | + | 14.1267i | 0.0489706 | + | 1.23900i | ||||
\(131\) | 0.222042 | + | 0.128196i | 0.0193999 | + | 0.0112006i | 0.509669 | − | 0.860371i | \(-0.329768\pi\) |
−0.490269 | + | 0.871571i | \(0.663101\pi\) | |||||||
\(132\) | −2.32879 | + | 8.53798i | −0.202695 | + | 0.743136i | ||||
\(133\) | 1.94159 | − | 3.05788i | 0.168357 | − | 0.265152i | ||||
\(134\) | −8.02777 | −0.693494 | ||||||||
\(135\) | 7.90750 | − | 2.00530i | 0.680569 | − | 0.172589i | ||||
\(136\) | 0.194634 | + | 0.0521522i | 0.0166898 | + | 0.00447201i | ||||
\(137\) | 1.29326 | + | 0.346527i | 0.110490 | + | 0.0296058i | 0.313641 | − | 0.949542i | \(-0.398451\pi\) |
−0.203150 | + | 0.979148i | \(0.565118\pi\) | |||||||
\(138\) | −17.5092 | − | 17.6668i | −1.49048 | − | 1.50389i | ||||
\(139\) | 19.1985 | 1.62840 | 0.814200 | − | 0.580585i | \(-0.197176\pi\) | ||||
0.814200 | + | 0.580585i | \(0.197176\pi\) | |||||||
\(140\) | 17.5874 | + | 0.741241i | 1.48640 | + | 0.0626463i | ||||
\(141\) | −0.689590 | − | 0.188090i | −0.0580740 | − | 0.0158401i | ||||
\(142\) | −17.5294 | − | 10.1206i | −1.47104 | − | 0.849304i | ||||
\(143\) | 2.95009 | − | 3.19289i | 0.246699 | − | 0.267003i | ||||
\(144\) | −16.4504 | − | 0.147397i | −1.37086 | − | 0.0122831i | ||||
\(145\) | 4.26031 | + | 15.8997i | 0.353799 | + | 1.32040i | ||||
\(146\) | 31.9402i | 2.64339i | ||||||||
\(147\) | 9.92155 | + | 6.96870i | 0.818316 | + | 0.574769i | ||||
\(148\) | −29.3920 | + | 29.3920i | −2.41600 | + | 2.41600i | ||||
\(149\) | −2.23177 | + | 0.598001i | −0.182834 | + | 0.0489901i | −0.349074 | − | 0.937095i | \(-0.613504\pi\) |
0.166240 | + | 0.986085i | \(0.446837\pi\) | |||||||
\(150\) | −2.79099 | − | 10.6059i | −0.227883 | − | 0.865972i | ||||
\(151\) | −3.87535 | + | 14.4630i | −0.315371 | + | 1.17698i | 0.608272 | + | 0.793729i | \(0.291863\pi\) |
−0.923643 | + | 0.383253i | \(0.874804\pi\) | |||||||
\(152\) | −6.62679 | − | 3.82598i | −0.537504 | − | 0.310328i | ||||
\(153\) | −0.0549148 | + | 0.0931772i | −0.00443960 | + | 0.00753293i | ||||
\(154\) | −5.39134 | − | 5.86579i | −0.434447 | − | 0.472678i | ||||
\(155\) | 2.05413 | 0.164992 | ||||||||
\(156\) | 23.3690 | + | 12.4220i | 1.87102 | + | 0.994555i | ||||
\(157\) | −3.71827 | − | 6.44023i | −0.296750 | − | 0.513986i | 0.678640 | − | 0.734471i | \(-0.262570\pi\) |
−0.975390 | + | 0.220484i | \(0.929236\pi\) | |||||||
\(158\) | −1.49000 | + | 5.56075i | −0.118538 | + | 0.442389i | ||||
\(159\) | −0.0639466 | + | 14.2739i | −0.00507130 | + | 1.13200i | ||||
\(160\) | − | 3.95237i | − | 0.312462i | ||||||
\(161\) | 14.8471 | − | 3.31508i | 1.17011 | − | 0.261265i | ||||
\(162\) | 6.20589 | − | 21.6045i | 0.487580 | − | 1.69741i | ||||
\(163\) | −3.78189 | + | 1.01335i | −0.296220 | + | 0.0793720i | −0.403868 | − | 0.914817i | \(-0.632335\pi\) |
0.107648 | + | 0.994189i | \(0.465668\pi\) | |||||||
\(164\) | −16.9417 | − | 4.53952i | −1.32293 | − | 0.354477i | ||||
\(165\) | 1.65198 | − | 2.83195i | 0.128607 | − | 0.220467i | ||||
\(166\) | 28.1344 | + | 16.2434i | 2.18365 | + | 1.26073i | ||||
\(167\) | 2.45941 | − | 2.45941i | 0.190315 | − | 0.190315i | −0.605517 | − | 0.795832i | \(-0.707034\pi\) |
0.795832 | + | 0.605517i | \(0.207034\pi\) | |||||||
\(168\) | 13.8258 | − | 21.5607i | 1.06669 | − | 1.66345i | ||||
\(169\) | −7.36829 | − | 10.7102i | −0.566792 | − | 0.823861i | ||||
\(170\) | −0.122424 | − | 0.0706816i | −0.00938951 | − | 0.00542103i | ||||
\(171\) | 2.93013 | − | 2.87809i | 0.224073 | − | 0.220093i | ||||
\(172\) | −9.06158 | − | 15.6951i | −0.690939 | − | 1.19674i | ||||
\(173\) | −7.04136 | + | 12.1960i | −0.535344 | + | 0.927244i | 0.463802 | + | 0.885939i | \(0.346485\pi\) |
−0.999147 | + | 0.0413048i | \(0.986849\pi\) | |||||||
\(174\) | 43.7572 | + | 11.9351i | 3.31722 | + | 0.904794i | ||||
\(175\) | 6.40009 | + | 2.00731i | 0.483801 | + | 0.151738i | ||||
\(176\) | −4.67507 | + | 4.67507i | −0.352396 | + | 0.352396i | ||||
\(177\) | 9.63281 | − | 9.54689i | 0.724047 | − | 0.717588i | ||||
\(178\) | 9.45158 | + | 16.3706i | 0.708426 | + | 1.22703i | ||||
\(179\) | −9.70396 | − | 16.8077i | −0.725308 | − | 1.25627i | −0.958847 | − | 0.283923i | \(-0.908364\pi\) |
0.233539 | − | 0.972347i | \(-0.424969\pi\) | |||||||
\(180\) | 19.2327 | + | 5.33854i | 1.43352 | + | 0.397911i | ||||
\(181\) | 1.45258i | 0.107969i | 0.998542 | + | 0.0539846i | \(0.0171922\pi\) | ||||
−0.998542 | + | 0.0539846i | \(0.982808\pi\) | |||||||
\(182\) | −20.6644 | + | 11.8586i | −1.53175 | + | 0.879018i | ||||
\(183\) | −9.29976 | − | 16.2756i | −0.687458 | − | 1.20313i | ||||
\(184\) | −8.31767 | − | 31.0420i | −0.613187 | − | 2.28844i | ||||
\(185\) | 13.3358 | − | 7.69945i | 0.980470 | − | 0.566075i | ||||
\(186\) | 2.85192 | − | 4.88896i | 0.209113 | − | 0.358476i | ||||
\(187\) | 0.0112501 | + | 0.0419858i | 0.000822687 | + | 0.00307031i | ||||
\(188\) | −1.23664 | − | 1.23664i | −0.0901912 | − | 0.0901912i | ||||
\(189\) | 9.16627 | + | 10.2459i | 0.666748 | + | 0.745283i | ||||
\(190\) | 3.79593 | + | 3.79593i | 0.275386 | + | 0.275386i | ||||
\(191\) | −11.9389 | − | 6.89292i | −0.863867 | − | 0.498754i | 0.00143823 | − | 0.999999i | \(-0.499542\pi\) |
−0.865305 | + | 0.501245i | \(0.832876\pi\) | |||||||
\(192\) | 7.00143 | + | 4.08420i | 0.505284 | + | 0.294752i | ||||
\(193\) | −0.977701 | + | 3.64883i | −0.0703764 | + | 0.262648i | −0.992145 | − | 0.125092i | \(-0.960078\pi\) |
0.921769 | + | 0.387740i | \(0.126744\pi\) | |||||||
\(194\) | −21.8418 | + | 37.8311i | −1.56815 | + | 2.71612i | ||||
\(195\) | −7.17131 | − | 6.68579i | −0.513548 | − | 0.478779i | ||||
\(196\) | 12.6182 | + | 26.8475i | 0.901299 | + | 1.91768i | ||||
\(197\) | −11.8814 | − | 11.8814i | −0.846517 | − | 0.846517i | 0.143180 | − | 0.989697i | \(-0.454267\pi\) |
−0.989697 | + | 0.143180i | \(0.954267\pi\) | |||||||
\(198\) | −4.44662 | − | 7.86365i | −0.316007 | − | 0.558845i | ||||
\(199\) | −5.29617 | + | 3.05774i | −0.375435 | + | 0.216758i | −0.675830 | − | 0.737057i | \(-0.736215\pi\) |
0.300395 | + | 0.953815i | \(0.402881\pi\) | |||||||
\(200\) | 3.66738 | − | 13.6868i | 0.259323 | − | 0.967806i | ||||
\(201\) | 3.95421 | − | 3.91894i | 0.278909 | − | 0.276421i | ||||
\(202\) | −9.54182 | − | 9.54182i | −0.671360 | − | 0.671360i | ||||
\(203\) | −20.4235 | + | 18.7716i | −1.43345 | + | 1.31751i | ||||
\(204\) | −0.229764 | + | 0.131285i | −0.0160867 | + | 0.00919182i | ||||
\(205\) | 5.62718 | + | 3.24885i | 0.393019 | + | 0.226910i | ||||
\(206\) | 36.2541 | + | 9.71426i | 2.52594 | + | 0.676825i | ||||
\(207\) | 17.2489 | + | 0.154552i | 1.19888 | + | 0.0107421i | ||||
\(208\) | 10.5544 | + | 16.7190i | 0.731813 | + | 1.15925i | ||||
\(209\) | − | 1.65065i | − | 0.114178i | ||||||
\(210\) | −13.2839 | + | 12.1002i | −0.916679 | + | 0.834990i | ||||
\(211\) | −17.6101 | −1.21233 | −0.606165 | − | 0.795339i | \(-0.707293\pi\) | ||||
−0.606165 | + | 0.795339i | \(0.707293\pi\) | |||||||
\(212\) | −17.4624 | + | 30.2457i | −1.19932 | + | 2.07728i | ||||
\(213\) | 13.5750 | − | 3.57232i | 0.930146 | − | 0.244771i | ||||
\(214\) | −38.4425 | − | 10.3006i | −2.62788 | − | 0.704137i | ||||
\(215\) | 1.73771 | + | 6.48520i | 0.118511 | + | 0.442287i | ||||
\(216\) | 20.8101 | − | 20.2581i | 1.41595 | − | 1.37839i | ||||
\(217\) | 1.60306 | + | 3.06812i | 0.108823 | + | 0.208277i | ||||
\(218\) | 13.8428 | 0.937553 | ||||||||
\(219\) | −15.5923 | − | 15.7327i | −1.05363 | − | 1.06312i | ||||
\(220\) | 6.94703 | − | 4.01087i | 0.468369 | − | 0.270413i | ||||
\(221\) | 0.129885 | − | 0.00513364i | 0.00873704 | − | 0.000345326i | ||||
\(222\) | 0.190084 | − | 42.4299i | 0.0127576 | − | 2.84771i | ||||
\(223\) | −10.9938 | + | 10.9938i | −0.736200 | + | 0.736200i | −0.971840 | − | 0.235641i | \(-0.924281\pi\) |
0.235641 | + | 0.971840i | \(0.424281\pi\) | |||||||
\(224\) | 5.90339 | − | 3.08446i | 0.394437 | − | 0.206089i | ||||
\(225\) | 6.55229 | + | 3.86165i | 0.436819 | + | 0.257443i | ||||
\(226\) | −4.81511 | − | 17.9702i | −0.320296 | − | 1.19536i | ||||
\(227\) | 1.89023 | − | 7.05442i | 0.125459 | − | 0.468218i | −0.874397 | − | 0.485211i | \(-0.838743\pi\) |
0.999856 | + | 0.0169930i | \(0.00540930\pi\) | |||||||
\(228\) | 9.71831 | − | 2.55741i | 0.643611 | − | 0.169368i | ||||
\(229\) | 15.2787 | − | 4.09391i | 1.00964 | − | 0.270533i | 0.284163 | − | 0.958776i | \(-0.408284\pi\) |
0.725480 | + | 0.688243i | \(0.241618\pi\) | |||||||
\(230\) | 22.5458i | 1.48663i | ||||||||
\(231\) | 5.51911 | + | 0.257384i | 0.363131 | + | 0.0169346i | ||||
\(232\) | 41.4368 | + | 41.4368i | 2.72046 | + | 2.72046i | ||||
\(233\) | 3.48710 | − | 6.03983i | 0.228447 | − | 0.395682i | −0.728901 | − | 0.684619i | \(-0.759968\pi\) |
0.957348 | + | 0.288937i | \(0.0933018\pi\) | |||||||
\(234\) | −25.8691 | + | 7.78574i | −1.69112 | + | 0.508970i | ||||
\(235\) | 0.323947 | + | 0.561093i | 0.0211320 | + | 0.0366017i | ||||
\(236\) | 32.0524 | − | 8.58840i | 2.08643 | − | 0.559057i | ||||
\(237\) | −1.98068 | − | 3.46641i | −0.128659 | − | 0.225168i | ||||
\(238\) | 0.0100315 | − | 0.238017i | 0.000650248 | − | 0.0154284i | ||||
\(239\) | 13.0198 | + | 13.0198i | 0.842178 | + | 0.842178i | 0.989142 | − | 0.146964i | \(-0.0469500\pi\) |
−0.146964 | + | 0.989142i | \(0.546950\pi\) | |||||||
\(240\) | 10.4967 | + | 10.5912i | 0.677561 | + | 0.683659i | ||||
\(241\) | 1.29014 | − | 4.81487i | 0.0831053 | − | 0.310153i | −0.911843 | − | 0.410538i | \(-0.865341\pi\) |
0.994949 | + | 0.100385i | \(0.0320075\pi\) | |||||||
\(242\) | 23.0302 | + | 6.17093i | 1.48044 | + | 0.396682i | ||||
\(243\) | 7.48990 | + | 13.6712i | 0.480478 | + | 0.877007i | ||||
\(244\) | − | 45.8642i | − | 2.93616i | ||||||
\(245\) | −1.94108 | − | 10.8170i | −0.124011 | − | 0.691074i | ||||
\(246\) | 15.5451 | − | 8.88238i | 0.991122 | − | 0.566320i | ||||
\(247\) | −4.81477 | − | 1.08829i | −0.306357 | − | 0.0692461i | ||||
\(248\) | 6.33309 | − | 3.65641i | 0.402152 | − | 0.232182i | ||||
\(249\) | −21.7877 | + | 5.73349i | −1.38074 | + | 0.363345i | ||||
\(250\) | −14.7732 | + | 25.5879i | −0.934336 | + | 1.61832i | ||||
\(251\) | −13.9661 | −0.881532 | −0.440766 | − | 0.897622i | \(-0.645293\pi\) | ||||
−0.440766 | + | 0.897622i | \(0.645293\pi\) | |||||||
\(252\) | 7.03557 | + | 32.8929i | 0.443199 | + | 2.07206i | ||||
\(253\) | 4.90200 | − | 4.90200i | 0.308186 | − | 0.308186i | ||||
\(254\) | −4.05178 | − | 15.1215i | −0.254231 | − | 0.948804i | ||||
\(255\) | 0.0948070 | − | 0.0249488i | 0.00593704 | − | 0.00156235i | ||||
\(256\) | 16.2037 | + | 28.0655i | 1.01273 | + | 1.75410i | ||||
\(257\) | 5.91465 | − | 10.2445i | 0.368945 | − | 0.639032i | −0.620456 | − | 0.784242i | \(-0.713052\pi\) |
0.989401 | + | 0.145209i | \(0.0463856\pi\) | |||||||
\(258\) | 17.8478 | + | 4.86810i | 1.11115 | + | 0.303075i | ||||
\(259\) | 21.9076 | + | 13.9101i | 1.36127 | + | 0.864334i | ||||
\(260\) | −7.11904 | − | 22.9081i | −0.441504 | − | 1.42070i | ||||
\(261\) | −27.3797 | + | 15.4823i | −1.69476 | + | 0.958328i | ||||
\(262\) | −0.618538 | − | 0.165737i | −0.0382134 | − | 0.0102393i | ||||
\(263\) | −11.4822 | + | 6.62925i | −0.708023 | + | 0.408777i | −0.810329 | − | 0.585976i | \(-0.800711\pi\) |
0.102306 | + | 0.994753i | \(0.467378\pi\) | |||||||
\(264\) | 0.0522889 | − | 11.6718i | 0.00321816 | − | 0.718347i | ||||
\(265\) | 9.14879 | − | 9.14879i | 0.562006 | − | 0.562006i | ||||
\(266\) | −2.70735 | + | 8.63210i | −0.165998 | + | 0.529268i | ||||
\(267\) | −12.6472 | − | 3.44961i | −0.773998 | − | 0.211113i | ||||
\(268\) | 13.1573 | − | 3.52549i | 0.803710 | − | 0.215353i | ||||
\(269\) | 2.34154 | − | 1.35189i | 0.142766 | − | 0.0824259i | −0.426916 | − | 0.904291i | \(-0.640400\pi\) |
0.569682 | + | 0.821866i | \(0.307067\pi\) | |||||||
\(270\) | −17.7803 | + | 9.94928i | −1.08208 | + | 0.605494i | ||||
\(271\) | −16.1143 | + | 4.31781i | −0.978874 | + | 0.262289i | −0.712570 | − | 0.701601i | \(-0.752469\pi\) |
−0.266304 | + | 0.963889i | \(0.585802\pi\) | |||||||
\(272\) | −0.197697 | −0.0119871 | ||||||||
\(273\) | 4.38956 | − | 15.9290i | 0.265668 | − | 0.964065i | ||||
\(274\) | −3.34394 | −0.202015 | ||||||||
\(275\) | 2.95247 | − | 0.791113i | 0.178041 | − | 0.0477059i | ||||
\(276\) | 36.4556 | + | 21.2660i | 2.19437 | + | 1.28006i | ||||
\(277\) | 15.2886 | − | 8.82686i | 0.918601 | − | 0.530354i | 0.0354123 | − | 0.999373i | \(-0.488726\pi\) |
0.883188 | + | 0.469018i | \(0.155392\pi\) | |||||||
\(278\) | −46.3158 | + | 12.4103i | −2.77784 | + | 0.744320i | ||||
\(279\) | 0.981897 | + | 3.80037i | 0.0587846 | + | 0.227522i | ||||
\(280\) | −22.6581 | + | 5.05914i | −1.35408 | + | 0.302342i | ||||
\(281\) | −3.81908 | + | 3.81908i | −0.227827 | + | 0.227827i | −0.811784 | − | 0.583957i | \(-0.801504\pi\) |
0.583957 | + | 0.811784i | \(0.301504\pi\) | |||||||
\(282\) | 1.78520 | + | 0.00799761i | 0.106307 | + | 0.000476251i | ||||
\(283\) | −7.52530 | + | 4.34473i | −0.447332 | + | 0.258268i | −0.706703 | − | 0.707510i | \(-0.749818\pi\) |
0.259370 | + | 0.965778i | \(0.416485\pi\) | |||||||
\(284\) | 33.1749 | + | 8.88918i | 1.96857 | + | 0.527476i | ||||
\(285\) | −3.72282 | − | 0.0166781i | −0.220521 | − | 0.000987923i | ||||
\(286\) | −5.05305 | + | 9.60973i | −0.298793 | + | 0.568235i | ||||
\(287\) | −0.461095 | + | 10.9404i | −0.0272176 | + | 0.645790i | ||||
\(288\) | 7.31231 | − | 1.88927i | 0.430882 | − | 0.111326i | ||||
\(289\) | 8.49935 | − | 14.7213i | 0.499962 | − | 0.865959i | ||||
\(290\) | −20.5557 | − | 35.6035i | −1.20707 | − | 2.09071i | ||||
\(291\) | −7.70959 | − | 29.2969i | −0.451944 | − | 1.71742i | ||||
\(292\) | −14.0269 | − | 52.3491i | −0.820862 | − | 3.06350i | ||||
\(293\) | 16.1414 | − | 16.1414i | 0.942993 | − | 0.942993i | −0.0554676 | − | 0.998460i | \(-0.517665\pi\) |
0.998460 | + | 0.0554676i | \(0.0176649\pi\) | |||||||
\(294\) | −28.4401 | − | 10.3983i | −1.65866 | − | 0.606440i | ||||
\(295\) | −12.2931 | −0.715733 | ||||||||
\(296\) | 27.4105 | − | 47.4763i | 1.59320 | − | 2.75951i | ||||
\(297\) | 6.02908 | + | 1.70265i | 0.349843 | + | 0.0987980i | ||||
\(298\) | 4.99751 | − | 2.88531i | 0.289498 | − | 0.167142i | ||||
\(299\) | −11.0667 | − | 17.5305i | −0.640002 | − | 1.01382i | ||||
\(300\) | 9.23208 | + | 16.1572i | 0.533015 | + | 0.932835i | ||||
\(301\) | −8.33040 | + | 7.65661i | −0.480156 | + | 0.441319i | ||||
\(302\) | − | 37.3966i | − | 2.15193i | ||||||
\(303\) | 9.35804 | + | 0.0419236i | 0.537605 | + | 0.00240845i | ||||
\(304\) | 7.25169 | + | 1.94308i | 0.415913 | + | 0.111444i | ||||
\(305\) | −4.39760 | + | 16.4121i | −0.251806 | + | 0.939753i | ||||
\(306\) | 0.0722487 | − | 0.260285i | 0.00413019 | − | 0.0148795i | ||||
\(307\) | −3.45895 | − | 3.45895i | −0.197413 | − | 0.197413i | 0.601477 | − | 0.798890i | \(-0.294579\pi\) |
−0.798890 | + | 0.601477i | \(0.794579\pi\) | |||||||
\(308\) | 11.4123 | + | 7.24620i | 0.650276 | + | 0.412890i | ||||
\(309\) | −22.5998 | + | 12.9134i | −1.28566 | + | 0.734616i | ||||
\(310\) | −4.95552 | + | 1.32783i | −0.281455 | + | 0.0754156i | ||||
\(311\) | 8.03426 | + | 13.9157i | 0.455581 | + | 0.789090i | 0.998721 | − | 0.0505523i | \(-0.0160982\pi\) |
−0.543140 | + | 0.839642i | \(0.682765\pi\) | |||||||
\(312\) | −34.0108 | − | 7.84780i | −1.92548 | − | 0.444294i | ||||
\(313\) | −10.5954 | + | 18.3517i | −0.598886 | + | 1.03730i | 0.394100 | + | 0.919068i | \(0.371056\pi\) |
−0.992986 | + | 0.118234i | \(0.962277\pi\) | |||||||
\(314\) | 13.1333 | + | 13.1333i | 0.741154 | + | 0.741154i | ||||
\(315\) | 0.636258 | − | 12.4450i | 0.0358491 | − | 0.701196i | ||||
\(316\) | − | 9.76826i | − | 0.549508i | ||||||
\(317\) | −7.43321 | + | 1.99172i | −0.417490 | + | 0.111866i | −0.461448 | − | 0.887167i | \(-0.652670\pi\) |
0.0439577 | + | 0.999033i | \(0.486003\pi\) | |||||||
\(318\) | −9.07266 | − | 34.4767i | −0.508770 | − | 1.93336i | ||||
\(319\) | −3.27176 | + | 12.2104i | −0.183183 | + | 0.683649i | ||||
\(320\) | −1.90157 | − | 7.09675i | −0.106301 | − | 0.396720i | ||||
\(321\) | 23.9640 | − | 13.6928i | 1.33754 | − | 0.764260i | ||||
\(322\) | −33.6752 | + | 17.5950i | −1.87664 | + | 0.980528i | ||||
\(323\) | 0.0349009 | − | 0.0349009i | 0.00194194 | − | 0.00194194i | ||||
\(324\) | −0.683433 | + | 38.1345i | −0.0379685 | + | 2.11858i | ||||
\(325\) | −0.361002 | − | 9.13364i | −0.0200248 | − | 0.506643i | ||||
\(326\) | 8.46862 | − | 4.88936i | 0.469034 | − | 0.270797i | ||||
\(327\) | −6.81850 | + | 6.75768i | −0.377064 | + | 0.373701i | ||||
\(328\) | 23.1322 | 1.27726 | ||||||||
\(329\) | −0.585256 | + | 0.921740i | −0.0322662 | + | 0.0508172i | ||||
\(330\) | −2.15474 | + | 7.89985i | −0.118614 | + | 0.434872i | ||||
\(331\) | −1.45525 | − | 5.43106i | −0.0799876 | − | 0.298518i | 0.914330 | − | 0.404969i | \(-0.132718\pi\) |
−0.994318 | + | 0.106451i | \(0.966051\pi\) | |||||||
\(332\) | −53.2450 | − | 14.2669i | −2.92220 | − | 0.783001i | ||||
\(333\) | 20.6195 | + | 20.9923i | 1.12994 | + | 1.15037i | ||||
\(334\) | −4.34343 | + | 7.52304i | −0.237662 | + | 0.411642i | ||||
\(335\) | −5.04625 | −0.275706 | ||||||||
\(336\) | −7.62764 | + | 23.9437i | −0.416122 | + | 1.30624i | ||||
\(337\) | − | 0.688603i | − | 0.0375106i | −0.999824 | − | 0.0187553i | \(-0.994030\pi\) | ||
0.999824 | − | 0.0187553i | \(-0.00597034\pi\) | |||||||
\(338\) | 24.6990 | + | 21.0750i | 1.34345 | + | 1.14633i | ||||
\(339\) | 11.1443 | + | 6.50093i | 0.605278 | + | 0.353082i | ||||
\(340\) | 0.231691 | + | 0.0620813i | 0.0125652 | + | 0.00336683i | ||||
\(341\) | 1.36615 | + | 0.788748i | 0.0739812 | + | 0.0427131i | ||||
\(342\) | −5.20839 | + | 8.83738i | −0.281638 | + | 0.477871i | ||||
\(343\) | 14.6418 | − | 11.3409i | 0.790584 | − | 0.612354i | ||||
\(344\) | 16.9014 | + | 16.9014i | 0.911261 | + | 0.911261i | ||||
\(345\) | −11.0063 | − | 11.1053i | −0.592557 | − | 0.597890i | ||||
\(346\) | 9.10332 | − | 33.9741i | 0.489398 | − | 1.82646i | ||||
\(347\) | −20.6195 | + | 11.9047i | −1.10691 | + | 0.639076i | −0.938028 | − | 0.346560i | \(-0.887350\pi\) |
−0.168884 | + | 0.985636i | \(0.554016\pi\) | |||||||
\(348\) | −76.9582 | − | 0.344770i | −4.12539 | − | 0.0184816i | ||||
\(349\) | 2.59131 | + | 2.59131i | 0.138710 | + | 0.138710i | 0.773052 | − | 0.634342i | \(-0.218729\pi\) |
−0.634342 | + | 0.773052i | \(0.718729\pi\) | |||||||
\(350\) | −16.7376 | − | 0.705425i | −0.894660 | − | 0.0377065i | ||||
\(351\) | 8.94147 | − | 16.4636i | 0.477261 | − | 0.878762i | ||||
\(352\) | 1.51763 | − | 2.62862i | 0.0808902 | − | 0.140106i | ||||
\(353\) | −4.54981 | + | 16.9801i | −0.242162 | + | 0.903760i | 0.732627 | + | 0.680630i | \(0.238294\pi\) |
−0.974789 | + | 0.223130i | \(0.928373\pi\) | |||||||
\(354\) | −17.0676 | + | 29.2584i | −0.907130 | + | 1.55506i | ||||
\(355\) | −11.0190 | − | 6.36182i | −0.584827 | − | 0.337650i | ||||
\(356\) | −22.6802 | − | 22.6802i | −1.20205 | − | 1.20205i | ||||
\(357\) | 0.111253 | + | 0.122137i | 0.00588811 | + | 0.00646415i | ||||
\(358\) | 34.2753 | + | 34.2753i | 1.81151 | + | 1.81151i | ||||
\(359\) | 3.65645 | + | 13.6461i | 0.192980 | + | 0.720211i | 0.992781 | + | 0.119945i | \(0.0382719\pi\) |
−0.799801 | + | 0.600266i | \(0.795061\pi\) | |||||||
\(360\) | −26.3235 | − | 0.235861i | −1.38737 | − | 0.0124310i | ||||
\(361\) | 14.8313 | − | 8.56283i | 0.780592 | − | 0.450675i | ||||
\(362\) | −0.938973 | − | 3.50429i | −0.0493513 | − | 0.184182i | ||||
\(363\) | −14.3564 | + | 8.20314i | −0.753516 | + | 0.430553i | ||||
\(364\) | 28.6606 | − | 28.5109i | 1.50222 | − | 1.49438i | ||||
\(365\) | 20.0776i | 1.05091i | ||||||||
\(366\) | 32.9562 | + | 33.2528i | 1.72265 | + | 1.73815i | ||||
\(367\) | 10.2912 | + | 17.8249i | 0.537196 | + | 0.930450i | 0.999054 | + | 0.0434961i | \(0.0138496\pi\) |
−0.461858 | + | 0.886954i | \(0.652817\pi\) | |||||||
\(368\) | 15.7652 | + | 27.3061i | 0.821816 | + | 1.42343i | ||||
\(369\) | −3.32088 | + | 11.9639i | −0.172878 | + | 0.622815i | ||||
\(370\) | −27.1952 | + | 27.1952i | −1.41381 | + | 1.41381i | ||||
\(371\) | 20.8047 | + | 6.52515i | 1.08013 | + | 0.338769i | ||||
\(372\) | −2.52718 | + | 9.26532i | −0.131028 | + | 0.480385i | ||||
\(373\) | 7.56634 | − | 13.1053i | 0.391770 | − | 0.678566i | −0.600913 | − | 0.799314i | \(-0.705196\pi\) |
0.992683 | + | 0.120749i | \(0.0385295\pi\) | |||||||
\(374\) | −0.0542808 | − | 0.0940172i | −0.00280680 | − | 0.00486151i | ||||
\(375\) | −5.21454 | − | 19.8156i | −0.269278 | − | 1.02327i | ||||
\(376\) | 1.99752 | + | 1.15327i | 0.103014 | + | 0.0594754i | ||||
\(377\) | 33.4592 | + | 17.5937i | 1.72324 | + | 0.906124i | ||||
\(378\) | −28.7365 | − | 18.7928i | −1.47805 | − | 0.966595i | ||||
\(379\) | 4.95373 | − | 4.95373i | 0.254456 | − | 0.254456i | −0.568339 | − | 0.822795i | \(-0.692414\pi\) |
0.822795 | + | 0.568339i | \(0.192414\pi\) | |||||||
\(380\) | −7.88845 | − | 4.55440i | −0.404669 | − | 0.233636i | ||||
\(381\) | 9.37766 | + | 5.47035i | 0.480432 | + | 0.280255i | ||||
\(382\) | 33.2579 | + | 8.91142i | 1.70162 | + | 0.455948i | ||||
\(383\) | 33.7026 | − | 9.03057i | 1.72212 | − | 0.461441i | 0.743777 | − | 0.668428i | \(-0.233033\pi\) |
0.978344 | + | 0.206988i | \(0.0663660\pi\) | |||||||
\(384\) | −27.9443 | − | 7.62198i | −1.42602 | − | 0.388957i | ||||
\(385\) | −3.38899 | − | 3.68723i | −0.172719 | − | 0.187919i | ||||
\(386\) | − | 9.43468i | − | 0.480213i | ||||||
\(387\) | −11.1677 | + | 6.31494i | −0.567686 | + | 0.321007i | ||||
\(388\) | 19.1842 | − | 71.5963i | 0.973929 | − | 3.63475i | ||||
\(389\) | −16.1151 | − | 27.9122i | −0.817070 | − | 1.41521i | −0.907832 | − | 0.419334i | \(-0.862264\pi\) |
0.0907622 | − | 0.995873i | \(-0.471070\pi\) | |||||||
\(390\) | 21.6224 | + | 11.4936i | 1.09489 | + | 0.581999i | ||||
\(391\) | 0.207293 | 0.0104833 | ||||||||
\(392\) | −25.2391 | − | 29.8948i | −1.27477 | − | 1.50991i | ||||
\(393\) | 0.385580 | − | 0.220317i | 0.0194499 | − | 0.0111135i | ||||
\(394\) | 36.3439 | + | 20.9832i | 1.83098 | + | 1.05712i | ||||
\(395\) | −0.936611 | + | 3.49548i | −0.0471260 | + | 0.175877i | ||||
\(396\) | 10.7413 | + | 10.9355i | 0.539771 | + | 0.549531i | ||||
\(397\) | −17.3918 | + | 4.66013i | −0.872871 | + | 0.233885i | −0.667329 | − | 0.744763i | \(-0.732562\pi\) |
−0.205542 | + | 0.978648i | \(0.565896\pi\) | |||||||
\(398\) | 10.8002 | − | 10.8002i | 0.541367 | − | 0.541367i | ||||
\(399\) | −2.88041 | − | 5.57354i | −0.144201 | − | 0.279026i | ||||
\(400\) | 13.9022i | 0.695108i | ||||||||
\(401\) | 5.92706 | + | 22.1201i | 0.295983 | + | 1.10462i | 0.940434 | + | 0.339978i | \(0.110420\pi\) |
−0.644450 | + | 0.764646i | \(0.722914\pi\) | |||||||
\(402\) | −7.00613 | + | 12.0104i | −0.349434 | + | 0.599024i | ||||
\(403\) | 3.20141 | − | 3.46489i | 0.159473 | − | 0.172598i | ||||
\(404\) | 19.8292 | + | 11.4484i | 0.986539 | + | 0.569578i | ||||
\(405\) | 3.90102 | − | 13.5806i | 0.193843 | − | 0.674823i | ||||
\(406\) | 37.1367 | − | 58.4880i | 1.84307 | − | 2.90271i | ||||
\(407\) | 11.8258 | 0.586182 | ||||||||
\(408\) | 0.247890 | − | 0.245679i | 0.0122724 | − | 0.0121629i | ||||
\(409\) | −13.2802 | − | 3.55843i | −0.656665 | − | 0.175953i | −0.0849248 | − | 0.996387i | \(-0.527065\pi\) |
−0.571741 | + | 0.820434i | \(0.693732\pi\) | |||||||
\(410\) | −15.6755 | − | 4.20024i | −0.774157 | − | 0.207435i | ||||
\(411\) | 1.64711 | − | 1.63242i | 0.0812460 | − | 0.0805213i | ||||
\(412\) | −63.6857 | −3.13757 | ||||||||
\(413\) | −9.59366 | − | 18.3614i | −0.472073 | − | 0.903506i | ||||
\(414\) | −41.7122 | + | 10.7771i | −2.05004 | + | 0.529667i | ||||
\(415\) | 17.6853 | + | 10.2106i | 0.868135 | + | 0.501218i | ||||
\(416\) | −6.66681 | − | 6.15984i | −0.326867 | − | 0.302011i | ||||
\(417\) | 16.7553 | − | 28.7230i | 0.820509 | − | 1.40657i | ||||
\(418\) | 1.06701 | + | 3.98214i | 0.0521893 | + | 0.194773i | ||||
\(419\) | − | 11.5025i | − | 0.561936i | −0.959717 | − | 0.280968i | \(-0.909345\pi\) | ||
0.959717 | − | 0.280968i | \(-0.0906554\pi\) | |||||||
\(420\) | 16.4581 | − | 25.6656i | 0.803073 | − | 1.25235i | ||||
\(421\) | −14.5632 | + | 14.5632i | −0.709769 | + | 0.709769i | −0.966487 | − | 0.256717i | \(-0.917359\pi\) |
0.256717 | + | 0.966487i | \(0.417359\pi\) | |||||||
\(422\) | 42.4838 | − | 11.3835i | 2.06808 | − | 0.554140i | ||||
\(423\) | −0.883233 | + | 0.867546i | −0.0429443 | + | 0.0421815i | ||||
\(424\) | 11.9215 | − | 44.4918i | 0.578961 | − | 2.16071i | ||||
\(425\) | 0.0791534 | + | 0.0456992i | 0.00383950 | + | 0.00221674i | ||||
\(426\) | −30.4401 | + | 17.3932i | −1.47483 | + | 0.842705i | ||||
\(427\) | −27.9456 | + | 6.23973i | −1.35238 | + | 0.301961i | ||||
\(428\) | 67.5299 | 3.26418 | ||||||||
\(429\) | −2.20225 | − | 7.20020i | −0.106325 | − | 0.347629i | ||||
\(430\) | −8.38431 | − | 14.5221i | −0.404327 | − | 0.700315i | ||||
\(431\) | −9.12622 | + | 34.0595i | −0.439594 | + | 1.64059i | 0.290232 | + | 0.956956i | \(0.406268\pi\) |
−0.729826 | + | 0.683633i | \(0.760399\pi\) | |||||||
\(432\) | −14.5773 | + | 24.4828i | −0.701353 | + | 1.17793i | ||||
\(433\) | 22.4893i | 1.08077i | 0.841418 | + | 0.540384i | \(0.181721\pi\) | ||||
−0.841418 | + | 0.540384i | \(0.818279\pi\) | |||||||
\(434\) | −5.85062 | − | 6.36548i | −0.280839 | − | 0.305553i | ||||
\(435\) | 27.5057 | + | 7.50237i | 1.31880 | + | 0.359711i | ||||
\(436\) | −22.6880 | + | 6.07923i | −1.08656 | + | 0.291142i | ||||
\(437\) | −7.60370 | − | 2.03740i | −0.363734 | − | 0.0974623i | ||||
\(438\) | 47.7859 | + | 27.8754i | 2.28330 | + | 1.33194i | ||||
\(439\) | 23.9899 | + | 13.8506i | 1.14498 | + | 0.661052i | 0.947658 | − | 0.319288i | \(-0.103444\pi\) |
0.197318 | + | 0.980340i | \(0.436777\pi\) | |||||||
\(440\) | −7.48094 | + | 7.48094i | −0.356640 | + | 0.356640i | ||||
\(441\) | 19.0848 | − | 8.76185i | 0.908800 | − | 0.417231i | ||||
\(442\) | −0.310026 | + | 0.0963451i | −0.0147464 | + | 0.00458267i | ||||
\(443\) | −4.82478 | − | 2.78559i | −0.229232 | − | 0.132347i | 0.380985 | − | 0.924581i | \(-0.375585\pi\) |
−0.610218 | + | 0.792234i | \(0.708918\pi\) | |||||||
\(444\) | 18.3220 | + | 69.6249i | 0.869525 | + | 3.30425i | ||||
\(445\) | 5.94126 | + | 10.2906i | 0.281643 | + | 0.487819i | ||||
\(446\) | 19.4156 | − | 33.6288i | 0.919355 | − | 1.59237i | ||||
\(447\) | −1.05307 | + | 3.86086i | −0.0498087 | + | 0.182612i | ||||
\(448\) | 9.11594 | − | 8.37861i | 0.430688 | − | 0.395852i | ||||
\(449\) | −3.83218 | + | 3.83218i | −0.180852 | + | 0.180852i | −0.791727 | − | 0.610875i | \(-0.790818\pi\) |
0.610875 | + | 0.791727i | \(0.290818\pi\) | |||||||
\(450\) | −18.3034 | − | 5.08058i | −0.862831 | − | 0.239501i | ||||
\(451\) | 2.49500 | + | 4.32146i | 0.117485 | + | 0.203490i | ||||
\(452\) | 15.7837 | + | 27.3381i | 0.742402 | + | 1.28588i | ||||
\(453\) | 18.2560 | + | 18.4203i | 0.857742 | + | 0.865462i | ||||
\(454\) | 18.2404i | 0.856066i | ||||||||
\(455\) | −12.9896 | + | 7.45431i | −0.608964 | + | 0.349463i | ||||
\(456\) | −11.5075 | + | 6.57530i | −0.538888 | + | 0.307917i | ||||
\(457\) | 0.693229 | + | 2.58717i | 0.0324279 | + | 0.121023i | 0.980243 | − | 0.197799i | \(-0.0633795\pi\) |
−0.947815 | + | 0.318822i | \(0.896713\pi\) | |||||||
\(458\) | −34.2129 | + | 19.7528i | −1.59866 | + | 0.922989i | ||||
\(459\) | 0.0914767 | + | 0.163478i | 0.00426977 | + | 0.00763048i | ||||
\(460\) | −9.90125 | − | 36.9520i | −0.461648 | − | 1.72290i | ||||
\(461\) | −19.4233 | − | 19.4233i | −0.904632 | − | 0.904632i | 0.0912008 | − | 0.995833i | \(-0.470929\pi\) |
−0.995833 | + | 0.0912008i | \(0.970929\pi\) | |||||||
\(462\) | −13.4811 | + | 2.94673i | −0.627195 | + | 0.137094i | ||||
\(463\) | 0.0917473 | + | 0.0917473i | 0.00426386 | + | 0.00426386i | 0.709235 | − | 0.704972i | \(-0.249040\pi\) |
−0.704972 | + | 0.709235i | \(0.749040\pi\) | |||||||
\(464\) | −49.7915 | − | 28.7471i | −2.31151 | − | 1.33455i | ||||
\(465\) | 1.79272 | − | 3.07320i | 0.0831352 | − | 0.142516i | ||||
\(466\) | −4.50825 | + | 16.8250i | −0.208841 | + | 0.779404i | ||||
\(467\) | 5.55944 | − | 9.62924i | 0.257260 | − | 0.445588i | −0.708247 | − | 0.705965i | \(-0.750514\pi\) |
0.965507 | + | 0.260377i | \(0.0838469\pi\) | |||||||
\(468\) | 38.9796 | − | 24.1213i | 1.80183 | − | 1.11501i | ||||
\(469\) | −3.93814 | − | 7.53725i | −0.181846 | − | 0.348038i | ||||
\(470\) | −1.14421 | − | 1.14421i | −0.0527786 | − | 0.0527786i | ||||
\(471\) | −12.8803 | − | 0.0577033i | −0.593494 | − | 0.00265883i | ||||
\(472\) | −37.9009 | + | 21.8821i | −1.74453 | + | 1.00721i | ||||
\(473\) | −1.33449 | + | 4.98039i | −0.0613600 | + | 0.228999i | ||||
\(474\) | 7.01909 | + | 7.08226i | 0.322397 | + | 0.325299i | ||||
\(475\) | −2.45426 | − | 2.45426i | −0.112609 | − | 0.112609i | ||||
\(476\) | 0.0880867 | + | 0.394510i | 0.00403745 | + | 0.0180823i | ||||
\(477\) | 21.2995 | + | 12.5531i | 0.975237 | + | 0.574765i | ||||
\(478\) | −39.8259 | − | 22.9935i | −1.82160 | − | 1.05170i | ||||
\(479\) | −12.8400 | − | 3.44047i | −0.586674 | − | 0.157199i | −0.0467415 | − | 0.998907i | \(-0.514884\pi\) |
−0.539933 | + | 0.841708i | \(0.681550\pi\) | |||||||
\(480\) | −5.91315 | − | 3.44937i | −0.269897 | − | 0.157442i | ||||
\(481\) | 7.79683 | − | 34.4945i | 0.355505 | − | 1.57281i | ||||
\(482\) | 12.4497i | 0.567067i | ||||||||
\(483\) | 7.99789 | − | 25.1060i | 0.363917 | − | 1.14236i | ||||
\(484\) | −40.4560 | −1.83891 | ||||||||
\(485\) | −13.7297 | + | 23.7806i | −0.623436 | + | 1.07982i | ||||
\(486\) | −26.9064 | − | 28.1397i | −1.22050 | − | 1.27644i | ||||
\(487\) | −20.3455 | − | 5.45155i | −0.921941 | − | 0.247033i | −0.233526 | − | 0.972351i | \(-0.575026\pi\) |
−0.688415 | + | 0.725317i | \(0.741693\pi\) | |||||||
\(488\) | 15.6557 | + | 58.4279i | 0.708701 | + | 2.64491i | ||||
\(489\) | −1.78451 | + | 6.54249i | −0.0806982 | + | 0.295862i | ||||
\(490\) | 11.6751 | + | 24.8409i | 0.527427 | + | 1.12220i | ||||
\(491\) | −15.9278 | −0.718812 | −0.359406 | − | 0.933181i | \(-0.617021\pi\) | ||||
−0.359406 | + | 0.933181i | \(0.617021\pi\) | |||||||
\(492\) | −21.5773 | + | 21.3848i | −0.972779 | + | 0.964102i | ||||
\(493\) | −0.327349 | + | 0.188995i | −0.0147431 | + | 0.00851192i | ||||
\(494\) | 12.3190 | − | 0.486900i | 0.554257 | − | 0.0219067i | ||||
\(495\) | −2.79514 | − | 4.94309i | −0.125632 | − | 0.222175i | ||||
\(496\) | −5.07333 | + | 5.07333i | −0.227799 | + | 0.227799i | ||||
\(497\) | 0.902905 | − | 21.4232i | 0.0405008 | − | 0.960960i | ||||
\(498\) | 48.8557 | − | 27.9158i | 2.18928 | − | 1.25094i | ||||
\(499\) | −1.55937 | − | 5.81965i | −0.0698071 | − | 0.260523i | 0.922199 | − | 0.386716i | \(-0.126391\pi\) |
−0.992006 | + | 0.126193i | \(0.959724\pi\) | |||||||
\(500\) | 12.9756 | − | 48.4256i | 0.580287 | − | 2.16566i | ||||
\(501\) | −1.53312 | − | 5.82595i | −0.0684946 | − | 0.260284i | ||||
\(502\) | 33.6927 | − | 9.02794i | 1.50378 | − | 0.402937i | ||||
\(503\) | 4.55024i | 0.202885i | 0.994841 | + | 0.101443i | \(0.0323458\pi\) | ||||
−0.994841 | + | 0.101443i | \(0.967654\pi\) | |||||||
\(504\) | −20.1908 | − | 39.5017i | −0.899370 | − | 1.75955i | ||||
\(505\) | −5.99798 | − | 5.99798i | −0.266907 | − | 0.266907i | ||||
\(506\) | −8.65717 | + | 14.9947i | −0.384858 | + | 0.666594i | ||||
\(507\) | −22.4542 | + | 1.67656i | −0.997224 | + | 0.0744588i | ||||
\(508\) | 13.2815 | + | 23.0043i | 0.589272 | + | 1.02065i | ||||
\(509\) | −6.89545 | + | 1.84763i | −0.305635 | + | 0.0818947i | −0.408377 | − | 0.912813i | \(-0.633905\pi\) |
0.102742 | + | 0.994708i | \(0.467238\pi\) | |||||||
\(510\) | −0.212591 | + | 0.121473i | −0.00941370 | + | 0.00537892i | ||||
\(511\) | −29.9886 | + | 15.6687i | −1.32662 | + | 0.693144i | ||||
\(512\) | −33.5830 | − | 33.5830i | −1.48417 | − | 1.48417i | ||||
\(513\) | −1.74869 | − | 6.89560i | −0.0772066 | − | 0.304448i | ||||
\(514\) | −7.64667 | + | 28.5378i | −0.337280 | + | 1.25875i | ||||
\(515\) | 22.7893 | + | 6.10638i | 1.00422 | + | 0.269079i | ||||
\(516\) | −31.3899 | − | 0.140625i | −1.38186 | − | 0.00619069i | ||||
\(517\) | 0.497558i | 0.0218826i | ||||||||
\(518\) | −61.8430 | − | 19.3963i | −2.71723 | − | 0.852223i | ||||
\(519\) | 12.1012 | + | 21.1785i | 0.531185 | + | 0.929633i | ||||
\(520\) | 16.8889 | + | 26.7533i | 0.740625 | + | 1.17321i | ||||
\(521\) | −19.7436 | + | 11.3990i | −0.864981 | + | 0.499397i | −0.865677 | − | 0.500603i | \(-0.833112\pi\) |
0.000695975 | 1.00000i | \(0.499778\pi\) | ||||||||
\(522\) | 56.0446 | − | 55.0492i | 2.45300 | − | 2.40944i | ||||
\(523\) | 11.4263 | − | 19.7909i | 0.499637 | − | 0.865396i | −0.500363 | − | 0.865816i | \(-0.666800\pi\) |
1.00000 | 0.000419527i | \(0.000133540\pi\) | ||||||||
\(524\) | 1.08655 | 0.0474663 | ||||||||
\(525\) | 8.58873 | − | 7.82336i | 0.374843 | − | 0.341439i | ||||
\(526\) | 23.4152 | − | 23.4152i | 1.02095 | − | 1.02095i | ||||
\(527\) | 0.0122085 | + | 0.0455626i | 0.000531808 | + | 0.00198474i | ||||
\(528\) | 2.91429 | + | 11.0745i | 0.126828 | + | 0.481955i | ||||
\(529\) | −5.03042 | − | 8.71295i | −0.218714 | − | 0.378824i | ||||
\(530\) | −16.1572 | + | 27.9851i | −0.701824 | + | 1.21560i | ||||
\(531\) | −5.87624 | − | 22.7436i | −0.255007 | − | 0.986989i | ||||
\(532\) | 0.646386 | − | 15.3368i | 0.0280244 | − | 0.664932i | ||||
\(533\) | 14.2502 | − | 4.42846i | 0.617245 | − | 0.191818i | ||||
\(534\) | 32.7409 | + | 0.146678i | 1.41684 | + | 0.00634737i | ||||
\(535\) | −24.1649 | − | 6.47497i | −1.04474 | − | 0.279938i | ||||
\(536\) | −15.5581 | + | 8.98247i | −0.672007 | + | 0.387984i | ||||
\(537\) | −33.6152 | − | 0.150594i | −1.45060 | − | 0.00649863i | ||||
\(538\) | −4.77499 | + | 4.77499i | −0.205864 | + | 0.205864i | ||||
\(539\) | 2.86257 | − | 7.93946i | 0.123300 | − | 0.341977i | ||||
\(540\) | 24.7721 | − | 24.1150i | 1.06602 | − | 1.03775i | ||||
\(541\) | −28.9391 | + | 7.75421i | −1.24419 | + | 0.333380i | −0.820089 | − | 0.572235i | \(-0.806076\pi\) |
−0.424101 | + | 0.905615i | \(0.639410\pi\) | |||||||
\(542\) | 36.0841 | − | 20.8332i | 1.54994 | − | 0.894861i | ||||
\(543\) | 2.17321 | + | 1.26772i | 0.0932613 | + | 0.0544030i | ||||
\(544\) | 0.0876672 | − | 0.0234904i | 0.00375870 | − | 0.00100714i | ||||
\(545\) | 8.70158 | 0.372735 | ||||||||
\(546\) | −0.292882 | + | 41.2656i | −0.0125342 | + | 1.76600i | ||||
\(547\) | 32.7019 | 1.39823 | 0.699115 | − | 0.715009i | \(-0.253577\pi\) | ||||
0.699115 | + | 0.715009i | \(0.253577\pi\) | |||||||
\(548\) | 5.48062 | − | 1.46853i | 0.234121 | − | 0.0627324i | ||||
\(549\) | −32.4663 | − | 0.290901i | −1.38563 | − | 0.0124153i | ||||
\(550\) | −6.61136 | + | 3.81707i | −0.281909 | + | 0.162760i | ||||
\(551\) | 13.8650 | − | 3.71513i | 0.590671 | − | 0.158270i | ||||
\(552\) | −53.7012 | − | 14.6473i | −2.28567 | − | 0.623432i | ||||
\(553\) | −5.95191 | + | 1.32895i | −0.253101 | + | 0.0565127i | ||||
\(554\) | −31.1773 | + | 31.1773i | −1.32460 | + | 1.32460i | ||||
\(555\) | 0.119487 | − | 26.6714i | 0.00507193 | − | 1.13214i | ||||
\(556\) | 70.4603 | − | 40.6803i | 2.98818 | − | 1.72523i | ||||
\(557\) | −10.5760 | − | 2.83384i | −0.448121 | − | 0.120074i | 0.0276991 | − | 0.999616i | \(-0.491182\pi\) |
−0.475820 | + | 0.879543i | \(0.657849\pi\) | |||||||
\(558\) | −4.82542 | − | 8.53354i | −0.204276 | − | 0.361254i | ||||
\(559\) | 13.6474 | + | 7.17618i | 0.577225 | + | 0.303520i | ||||
\(560\) | 20.1882 | − | 10.5482i | 0.853109 | − | 0.445741i | ||||
\(561\) | 0.0726336 | + | 0.0198113i | 0.00306659 | + | 0.000836433i | ||||
\(562\) | 6.74467 | − | 11.6821i | 0.284507 | − | 0.492780i | ||||
\(563\) | −4.34682 | − | 7.52891i | −0.183197 | − | 0.317306i | 0.759771 | − | 0.650191i | \(-0.225311\pi\) |
−0.942967 | + | 0.332885i | \(0.891978\pi\) | |||||||
\(564\) | −2.92940 | + | 0.770882i | −0.123350 | + | 0.0324600i | ||||
\(565\) | −3.02678 | − | 11.2961i | −0.127337 | − | 0.475230i | ||||
\(566\) | 15.3460 | − | 15.3460i | 0.645041 | − | 0.645041i | ||||
\(567\) | 23.3288 | − | 4.77170i | 0.979716 | − | 0.200392i | ||||
\(568\) | −45.2969 | −1.90061 | ||||||||
\(569\) | 4.99492 | − | 8.65145i | 0.209398 | − | 0.362688i | −0.742127 | − | 0.670259i | \(-0.766183\pi\) |
0.951525 | + | 0.307571i | \(0.0995163\pi\) | |||||||
\(570\) | 8.99196 | − | 2.36626i | 0.376632 | − | 0.0991119i | ||||
\(571\) | 38.7624 | − | 22.3795i | 1.62216 | − | 0.936553i | 0.635815 | − | 0.771842i | \(-0.280664\pi\) |
0.986342 | − | 0.164711i | \(-0.0526691\pi\) | |||||||
\(572\) | 4.06160 | − | 17.9692i | 0.169824 | − | 0.751330i | ||||
\(573\) | −20.7320 | + | 11.8461i | −0.866093 | + | 0.494879i | ||||
\(574\) | −5.95968 | − | 26.6913i | −0.248752 | − | 1.11408i | ||||
\(575\) | − | 14.5770i | − | 0.607903i | ||||||
\(576\) | 12.2208 | − | 6.91043i | 0.509200 | − | 0.287935i | ||||
\(577\) | 40.0417 | + | 10.7291i | 1.66696 | + | 0.446660i | 0.964288 | − | 0.264855i | \(-0.0853242\pi\) |
0.702670 | + | 0.711515i | \(0.251991\pi\) | |||||||
\(578\) | −10.9883 | + | 41.0088i | −0.457052 | + | 1.70574i | ||||
\(579\) | 4.60576 | + | 4.64721i | 0.191409 | + | 0.193131i | ||||
\(580\) | 49.3259 | + | 49.3259i | 2.04815 | + | 2.04815i | ||||
\(581\) | −1.44914 | + | 34.3837i | −0.0601206 | + | 1.42648i | ||||
\(582\) | 37.5372 | + | 65.6943i | 1.55597 | + | 2.72311i | ||||
\(583\) | 9.59760 | − | 2.57167i | 0.397492 | − | 0.106508i | ||||
\(584\) | 35.7387 | + | 61.9012i | 1.47888 | + | 2.56149i | ||||
\(585\) | −16.2613 | + | 4.89411i | −0.672322 | + | 0.202347i | ||||
\(586\) | −28.5066 | + | 49.3748i | −1.17759 | + | 2.03965i | ||||
\(587\) | −12.5328 | − | 12.5328i | −0.517284 | − | 0.517284i | 0.399465 | − | 0.916749i | \(-0.369196\pi\) |
−0.916749 | + | 0.399465i | \(0.869196\pi\) | |||||||
\(588\) | 51.1791 | + | 4.55269i | 2.11059 | + | 0.187750i | ||||
\(589\) | − | 1.79127i | − | 0.0738080i | ||||||
\(590\) | 29.6567 | − | 7.94650i | 1.22095 | − | 0.327152i | ||||
\(591\) | −28.1452 | + | 7.40651i | −1.15774 | + | 0.304663i | ||||
\(592\) | −13.9208 | + | 51.9533i | −0.572143 | + | 2.13527i | ||||
\(593\) | 8.92468 | + | 33.3074i | 0.366493 | + | 1.36777i | 0.865386 | + | 0.501106i | \(0.167073\pi\) |
−0.498893 | + | 0.866664i | \(0.666260\pi\) | |||||||
\(594\) | −15.6456 | − | 0.210286i | −0.641946 | − | 0.00862813i | ||||
\(595\) | 0.00630582 | − | 0.149618i | 0.000258513 | − | 0.00613372i | ||||
\(596\) | −6.92367 | + | 6.92367i | −0.283604 | + | 0.283604i | ||||
\(597\) | −0.0474527 | + | 10.5922i | −0.00194211 | + | 0.433511i | ||||
\(598\) | 38.0300 | + | 35.1381i | 1.55516 | + | 1.43690i | ||||
\(599\) | 3.63222 | − | 2.09706i | 0.148409 | − | 0.0856837i | −0.423957 | − | 0.905682i | \(-0.639359\pi\) |
0.572365 | + | 0.819999i | \(0.306026\pi\) | |||||||
\(600\) | −17.2763 | − | 17.4318i | −0.705302 | − | 0.711650i | ||||
\(601\) | 3.92273 | 0.160011 | 0.0800057 | − | 0.996794i | \(-0.474506\pi\) | ||||
0.0800057 | + | 0.996794i | \(0.474506\pi\) | |||||||
\(602\) | 15.1474 | − | 23.8562i | 0.617363 | − | 0.972307i | ||||
\(603\) | −2.41216 | − | 9.33612i | −0.0982308 | − | 0.380196i | ||||
\(604\) | 16.4231 | + | 61.2920i | 0.668248 | + | 2.49394i | ||||
\(605\) | 14.4768 | + | 3.87904i | 0.588565 | + | 0.157706i | ||||
\(606\) | −22.6031 | + | 5.94807i | −0.918186 | + | 0.241624i | ||||
\(607\) | 14.5482 | − | 25.1983i | 0.590495 | − | 1.02277i | −0.403671 | − | 0.914904i | \(-0.632266\pi\) |
0.994166 | − | 0.107863i | \(-0.0344008\pi\) | |||||||
\(608\) | −3.44659 | −0.139778 | ||||||||
\(609\) | 10.2599 | + | 46.9384i | 0.415753 | + | 1.90204i | ||||
\(610\) | − | 42.4363i | − | 1.71819i | ||||||
\(611\) | 1.45132 | + | 0.328044i | 0.0587143 | + | 0.0132712i | ||||
\(612\) | −0.00410667 | + | 0.458329i | −0.000166002 | + | 0.0185268i | ||||
\(613\) | −23.9305 | − | 6.41217i | −0.966545 | − | 0.258985i | −0.259176 | − | 0.965830i | \(-0.583451\pi\) |
−0.707368 | + | 0.706845i | \(0.750118\pi\) | |||||||
\(614\) | 10.5805 | + | 6.10867i | 0.426995 | + | 0.246526i | ||||
\(615\) | 9.77167 | − | 5.58346i | 0.394032 | − | 0.225147i | ||||
\(616\) | −17.0120 | − | 5.33559i | −0.685432 | − | 0.214977i | ||||
\(617\) | −5.99264 | − | 5.99264i | −0.241255 | − | 0.241255i | 0.576114 | − | 0.817369i | \(-0.304568\pi\) |
−0.817369 | + | 0.576114i | \(0.804568\pi\) | |||||||
\(618\) | 46.1739 | − | 45.7620i | 1.85739 | − | 1.84082i | ||||
\(619\) | −12.0209 | + | 44.8625i | −0.483160 | + | 1.80318i | 0.105049 | + | 0.994467i | \(0.466500\pi\) |
−0.588209 | + | 0.808709i | \(0.700167\pi\) | |||||||
\(620\) | 7.53884 | − | 4.35255i | 0.302767 | − | 0.174803i | ||||
\(621\) | 15.2849 | − | 25.6712i | 0.613364 | − | 1.03015i | ||||
\(622\) | −28.3778 | − | 28.3778i | −1.13785 | − | 1.13785i | ||||
\(623\) | −10.7337 | + | 16.9049i | −0.430037 | + | 0.677281i | ||||
\(624\) | 34.2245 | − | 1.19917i | 1.37008 | − | 0.0480051i | ||||
\(625\) | −2.94842 | + | 5.10681i | −0.117937 | + | 0.204272i | ||||
\(626\) | 13.6981 | − | 51.1220i | 0.547486 | − | 2.04325i | ||||
\(627\) | −2.46955 | − | 1.44058i | −0.0986243 | − | 0.0575314i | ||||
\(628\) | −27.2927 | − | 15.7575i | −1.08910 | − | 0.628791i | ||||
\(629\) | 0.250041 | + | 0.250041i | 0.00996978 | + | 0.00996978i | ||||
\(630\) | 6.50972 | + | 30.4344i | 0.259354 | + | 1.21254i | ||||
\(631\) | 12.6139 | + | 12.6139i | 0.502153 | + | 0.502153i | 0.912106 | − | 0.409953i | \(-0.134455\pi\) |
−0.409953 | + | 0.912106i | \(0.634455\pi\) | |||||||
\(632\) | 3.33439 | + | 12.4441i | 0.132635 | + | 0.495000i | ||||
\(633\) | −15.3690 | + | 26.3466i | −0.610862 | + | 1.04718i | ||||
\(634\) | 16.6449 | − | 9.60992i | 0.661052 | − | 0.381659i | ||||
\(635\) | −2.54695 | − | 9.50534i | −0.101073 | − | 0.377208i | ||||
\(636\) | 30.0107 | + | 52.5221i | 1.19000 | + | 2.08263i | ||||
\(637\) | −21.2712 | − | 13.5844i | −0.842797 | − | 0.538232i | ||||
\(638\) | − | 31.5720i | − | 1.24995i | ||||||
\(639\) | 6.50287 | − | 23.4274i | 0.257249 | − | 0.926772i | ||||
\(640\) | 13.1273 | + | 22.7372i | 0.518902 | + | 0.898765i | ||||
\(641\) | −0.927763 | − | 1.60693i | −0.0366444 | − | 0.0634700i | 0.847122 | − | 0.531399i | \(-0.178334\pi\) |
−0.883766 | + | 0.467929i | \(0.845000\pi\) | |||||||
\(642\) | −48.9610 | + | 48.5243i | −1.93234 | + | 1.91510i | ||||
\(643\) | 7.69902 | − | 7.69902i | 0.303620 | − | 0.303620i | −0.538809 | − | 0.842428i | \(-0.681125\pi\) |
0.842428 | + | 0.538809i | \(0.181125\pi\) | |||||||
\(644\) | 47.4657 | − | 43.6265i | 1.87041 | − | 1.71912i | ||||
\(645\) | 11.2191 | + | 3.06008i | 0.441752 | + | 0.120491i | ||||
\(646\) | −0.0616367 | + | 0.106758i | −0.00242506 | + | 0.00420033i | ||||
\(647\) | 11.9903 | + | 20.7677i | 0.471385 | + | 0.816463i | 0.999464 | − | 0.0327320i | \(-0.0104208\pi\) |
−0.528079 | + | 0.849195i | \(0.677087\pi\) | |||||||
\(648\) | −12.1465 | − | 48.8141i | −0.477161 | − | 1.91760i | ||||
\(649\) | −8.17584 | − | 4.72033i | −0.320930 | − | 0.185289i | ||||
\(650\) | 6.77505 | + | 21.8012i | 0.265740 | + | 0.855115i | ||||
\(651\) | 5.98928 | + | 0.279310i | 0.234738 | + | 0.0109470i | ||||
\(652\) | −11.7326 | + | 11.7326i | −0.459485 | + | 0.459485i | ||||
\(653\) | 15.8664 | + | 9.16049i | 0.620902 | + | 0.358478i | 0.777220 | − | 0.629229i | \(-0.216629\pi\) |
−0.156318 | + | 0.987707i | \(0.549963\pi\) | |||||||
\(654\) | 12.0811 | − | 20.7103i | 0.472409 | − | 0.809836i | ||||
\(655\) | −0.388813 | − | 0.104182i | −0.0151922 | − | 0.00407073i | ||||
\(656\) | −21.9222 | + | 5.87403i | −0.855917 | + | 0.229342i | ||||
\(657\) | −37.1457 | + | 9.59730i | −1.44919 | + | 0.374426i | ||||
\(658\) | 0.816080 | − | 2.60199i | 0.0318141 | − | 0.101436i | ||||
\(659\) | − | 21.7738i | − | 0.848188i | −0.905618 | − | 0.424094i | \(-0.860593\pi\) | ||
0.905618 | − | 0.424094i | \(-0.139407\pi\) | |||||||
\(660\) | 0.0622441 | − | 13.8939i | 0.00242285 | − | 0.540820i | ||||
\(661\) | 8.04549 | − | 30.0262i | 0.312933 | − | 1.16788i | −0.612965 | − | 0.790110i | \(-0.710023\pi\) |
0.925898 | − | 0.377773i | \(-0.123310\pi\) | |||||||
\(662\) | 7.02147 | + | 12.1615i | 0.272897 | + | 0.472672i | ||||
\(663\) | 0.105675 | − | 0.198803i | 0.00410409 | − | 0.00772085i | ||||
\(664\) | 72.7006 | 2.82133 | ||||||||
\(665\) | −1.70184 | + | 5.42614i | −0.0659945 | + | 0.210417i | ||||
\(666\) | −63.3137 | − | 37.3145i | −2.45336 | − | 1.44591i | ||||
\(667\) | 52.2085 | + | 30.1426i | 2.02152 | + | 1.16712i | ||||
\(668\) | 3.81493 | − | 14.2375i | 0.147604 | − | 0.550867i | ||||
\(669\) | 6.85319 | + | 26.0426i | 0.264960 | + | 1.00686i | ||||
\(670\) | 12.1739 | − | 3.26199i | 0.470319 | − | 0.126022i | ||||
\(671\) | −9.22667 | + | 9.22667i | −0.356192 | + | 0.356192i | ||||
\(672\) | 0.537422 | − | 11.5240i | 0.0207315 | − | 0.444548i | ||||
\(673\) | 29.8707i | 1.15143i | 0.817650 | + | 0.575716i | \(0.195276\pi\) | ||||
−0.817650 | + | 0.575716i | \(0.804724\pi\) | |||||||
\(674\) | 0.445125 | + | 1.66123i | 0.0171456 | + | 0.0639882i | ||||
\(675\) | 11.4959 | − | 6.43271i | 0.442476 | − | 0.247595i | ||||
\(676\) | −49.7364 | − | 23.6945i | −1.91294 | − | 0.911326i | ||||
\(677\) | −6.67032 | − | 3.85111i | −0.256361 | − | 0.148010i | 0.366312 | − | 0.930492i | \(-0.380620\pi\) |
−0.622673 | + | 0.782482i | \(0.713953\pi\) | |||||||
\(678\) | −31.0877 | − | 8.47937i | −1.19392 | − | 0.325648i | ||||
\(679\) | −46.2344 | − | 1.94860i | −1.77431 | − | 0.0747805i | ||||
\(680\) | −0.316350 | −0.0121315 | ||||||||
\(681\) | −8.90449 | − | 8.98463i | −0.341221 | − | 0.344292i | ||||
\(682\) | −3.80565 | − | 1.01972i | −0.145726 | − | 0.0390472i | ||||
\(683\) | 7.68744 | + | 2.05984i | 0.294152 | + | 0.0788177i | 0.402877 | − | 0.915254i | \(-0.368010\pi\) |
−0.108725 | + | 0.994072i | \(0.534677\pi\) | |||||||
\(684\) | 4.65538 | − | 16.7716i | 0.178003 | − | 0.641276i | ||||
\(685\) | −2.10200 | −0.0803131 | ||||||||
\(686\) | −27.9919 | + | 36.8244i | −1.06874 | + | 1.40596i | ||||
\(687\) | 7.20934 | − | 26.4314i | 0.275053 | − | 1.00842i | ||||
\(688\) | −20.3091 | − | 11.7255i | −0.774277 | − | 0.447029i | ||||
\(689\) | −1.17351 | − | 29.6907i | −0.0447070 | − | 1.13112i | ||||
\(690\) | 33.7309 | + | 19.6766i | 1.28411 | + | 0.749074i | ||||
\(691\) | 6.46768 | + | 24.1377i | 0.246042 | + | 0.918241i | 0.972857 | + | 0.231408i | \(0.0743331\pi\) |
−0.726815 | + | 0.686833i | \(0.759000\pi\) | |||||||
\(692\) | 59.6804i | 2.26871i | ||||||||
\(693\) | 5.20181 | − | 8.03255i | 0.197600 | − | 0.305131i | ||||
\(694\) | 42.0484 | − | 42.0484i | 1.59614 | − | 1.59614i | ||||
\(695\) | −29.1141 | + | 7.80110i | −1.10436 | + | 0.295913i | ||||
\(696\) | 98.1573 | − | 25.8304i | 3.72064 | − | 0.979100i | ||||
\(697\) | −0.0386182 | + | 0.144125i | −0.00146277 | + | 0.00545913i | ||||
\(698\) | −7.92652 | − | 4.57638i | −0.300023 | − | 0.173218i | ||||
\(699\) | −5.99290 | − | 10.4882i | −0.226672 | − | 0.396702i | ||||
\(700\) | 27.7422 | − | 6.19432i | 1.04856 | − | 0.234123i | ||||
\(701\) | −39.3491 | −1.48619 | −0.743097 | − | 0.669184i | \(-0.766644\pi\) | ||||
−0.743097 | + | 0.669184i | \(0.766644\pi\) | |||||||
\(702\) | −10.9286 | + | 45.4978i | −0.412475 | + | 1.71720i | ||||
\(703\) | −6.71417 | − | 11.6293i | −0.253230 | − | 0.438607i | ||||
\(704\) | 1.46033 | − | 5.45004i | 0.0550384 | − | 0.205406i | ||||
\(705\) | 1.12217 | + | 0.00502729i | 0.0422635 | + | 0.000189339i | ||||
\(706\) | − | 43.9050i | − | 1.65239i | ||||||
\(707\) | 4.27791 | − | 13.6397i | 0.160887 | − | 0.512972i | ||||
\(708\) | 15.1241 | − | 55.4491i | 0.568399 | − | 2.08390i | ||||
\(709\) | −23.9497 | + | 6.41730i | −0.899450 | + | 0.241007i | −0.678780 | − | 0.734342i | \(-0.737491\pi\) |
−0.220670 | + | 0.975349i | \(0.570824\pi\) | |||||||
\(710\) | 30.6953 | + | 8.22479i | 1.15198 | + | 0.308671i | ||||
\(711\) | −6.91474 | − | 0.0619567i | −0.259323 | − | 0.00232356i | ||||
\(712\) | 36.6350 | + | 21.1512i | 1.37295 | + | 0.792675i | ||||
\(713\) | 5.31960 | − | 5.31960i | 0.199220 | − | 0.199220i | ||||
\(714\) | −0.347344 | − | 0.222735i | −0.0129990 | − | 0.00833564i | ||||
\(715\) | −3.17635 | + | 6.04067i | −0.118789 | + | 0.225908i | ||||
\(716\) | −71.2287 | − | 41.1239i | −2.66194 | − | 1.53687i | ||||
\(717\) | 30.8418 | − | 8.11611i | 1.15181 | − | 0.303102i | ||||
\(718\) | −17.6421 | − | 30.5570i | −0.658398 | − | 1.14038i | ||||
\(719\) | −6.84162 | + | 11.8500i | −0.255149 | + | 0.441931i | −0.964936 | − | 0.262485i | \(-0.915458\pi\) |
0.709787 | + | 0.704417i | \(0.248791\pi\) | |||||||
\(720\) | 25.0064 | − | 6.46088i | 0.931935 | − | 0.240783i | ||||
\(721\) | 8.66430 | + | 38.8044i | 0.322675 | + | 1.44515i | ||||
\(722\) | −30.2447 | + | 30.2447i | −1.12559 | + | 1.12559i | ||||
\(723\) | −6.07760 | − | 6.13230i | −0.226028 | − | 0.228063i | ||||
\(724\) | 3.07790 | + | 5.33108i | 0.114389 | + | 0.198128i | ||||
\(725\) | 13.2903 | + | 23.0194i | 0.493589 | + | 0.854921i | ||||
\(726\) | 29.3317 | − | 29.0700i | 1.08860 | − | 1.07889i | ||||
\(727\) | − | 32.3518i | − | 1.19986i | −0.800051 | − | 0.599931i | \(-0.795195\pi\) | ||
0.800051 | − | 0.599931i | \(-0.204805\pi\) | |||||||
\(728\) | −26.7795 | + | 46.1043i | −0.992513 | + | 1.70874i | ||||
\(729\) | 26.9902 | + | 0.725661i | 0.999639 | + | 0.0268763i | ||||
\(730\) | −12.9785 | − | 48.4365i | −0.480357 | − | 1.79272i | ||||
\(731\) | −0.133520 | + | 0.0770879i | −0.00493842 | + | 0.00285120i | ||||
\(732\) | −68.6177 | − | 40.0274i | −2.53618 | − | 1.47945i | ||||
\(733\) | 4.40270 | + | 16.4311i | 0.162618 | + | 0.606897i | 0.998332 | + | 0.0577329i | \(0.0183872\pi\) |
−0.835714 | + | 0.549164i | \(0.814946\pi\) | |||||||
\(734\) | −36.3495 | − | 36.3495i | −1.34168 | − | 1.34168i | ||||
\(735\) | −17.8774 | − | 6.53635i | −0.659419 | − | 0.241097i | ||||
\(736\) | −10.2355 | − | 10.2355i | −0.377284 | − | 0.377284i | ||||
\(737\) | −3.35614 | − | 1.93767i | −0.123625 | − | 0.0713748i | ||||
\(738\) | 0.277845 | − | 31.0091i | 0.0102276 | − | 1.14146i | ||||
\(739\) | −6.32510 | + | 23.6056i | −0.232672 | + | 0.868345i | 0.746512 | + | 0.665372i | \(0.231727\pi\) |
−0.979184 | + | 0.202973i | \(0.934940\pi\) | |||||||
\(740\) | 32.6291 | − | 56.5153i | 1.19947 | − | 2.07754i | ||||
\(741\) | −5.83022 | + | 6.25362i | −0.214179 | + | 0.229732i | ||||
\(742\) | −54.4087 | − | 2.29312i | −1.99741 | − | 0.0841832i | ||||
\(743\) | 25.2907 | + | 25.2907i | 0.927826 | + | 0.927826i | 0.997565 | − | 0.0697391i | \(-0.0222167\pi\) |
−0.0697391 | + | 0.997565i | \(0.522217\pi\) | |||||||
\(744\) | 0.0567434 | − | 12.6661i | 0.00208031 | − | 0.464360i | ||||
\(745\) | 3.14143 | − | 1.81371i | 0.115093 | − | 0.0664491i | ||||
\(746\) | −9.78204 | + | 36.5071i | −0.358146 | + | 1.33662i | ||||
\(747\) | −10.4370 | + | 37.6004i | −0.381869 | + | 1.37573i | ||||
\(748\) | 0.130254 | + | 0.130254i | 0.00476254 | + | 0.00476254i | ||||
\(749\) | −9.18729 | − | 41.1467i | −0.335696 | − | 1.50347i | ||||
\(750\) | 25.3891 | + | 44.4337i | 0.927077 | + | 1.62249i | ||||
\(751\) | 4.79468 | + | 2.76821i | 0.174960 | + | 0.101013i | 0.584923 | − | 0.811089i | \(-0.301125\pi\) |
−0.409962 | + | 0.912102i | \(0.634458\pi\) | |||||||
\(752\) | −2.18589 | − | 0.585707i | −0.0797111 | − | 0.0213585i | ||||
\(753\) | −12.1887 | + | 20.8947i | −0.444182 | + | 0.761447i | ||||
\(754\) | −92.0921 | − | 20.8157i | −3.35380 | − | 0.758062i | ||||
\(755\) | − | 23.5075i | − | 0.855525i | ||||||
\(756\) | 55.3514 | + | 18.1809i | 2.01311 | + | 0.661232i | ||||
\(757\) | 13.3974 | 0.486938 | 0.243469 | − | 0.969909i | \(-0.421715\pi\) | ||||
0.243469 | + | 0.969909i | \(0.421715\pi\) | |||||||
\(758\) | −8.74852 | + | 15.1529i | −0.317761 | + | 0.550378i | ||||
\(759\) | −3.05575 | − | 11.6121i | −0.110917 | − | 0.421491i | ||||
\(760\) | 11.6040 | + | 3.10928i | 0.420921 | + | 0.112786i | ||||
\(761\) | −3.76270 | − | 14.0426i | −0.136398 | − | 0.509044i | −0.999988 | − | 0.00484983i | \(-0.998456\pi\) |
0.863590 | − | 0.504194i | \(-0.168210\pi\) | |||||||
\(762\) | −26.1594 | − | 7.13515i | −0.947656 | − | 0.258479i | ||||
\(763\) | 6.79079 | + | 12.9970i | 0.245843 | + | 0.470522i | ||||
\(764\) | −58.4223 | −2.11364 | ||||||||
\(765\) | 0.0454155 | − | 0.163615i | 0.00164200 | − | 0.00591551i | ||||
\(766\) | −75.4688 | + | 43.5719i | −2.72680 | + | 1.57432i | ||||
\(767\) | −19.1591 | + | 20.7359i | −0.691794 | + | 0.748730i | ||||
\(768\) | 56.1305 | + | 0.251462i | 2.02544 | + | 0.00907387i | ||||
\(769\) | −10.0440 | + | 10.0440i | −0.362197 | + | 0.362197i | −0.864621 | − | 0.502424i | \(-0.832442\pi\) |
0.502424 | + | 0.864621i | \(0.332442\pi\) | |||||||
\(770\) | 10.5593 | + | 6.70461i | 0.380532 | + | 0.241617i | ||||
\(771\) | −10.1649 | − | 17.7897i | −0.366079 | − | 0.640679i | ||||
\(772\) | 4.14335 | + | 15.4632i | 0.149122 | + | 0.556532i | ||||
\(773\) | 6.82014 | − | 25.4531i | 0.245303 | − | 0.915485i | −0.727927 | − | 0.685654i | \(-0.759516\pi\) |
0.973231 | − | 0.229830i | \(-0.0738172\pi\) | |||||||
\(774\) | 22.8596 | − | 22.4536i | 0.821671 | − | 0.807078i | ||||
\(775\) | 3.20399 | − | 0.858507i | 0.115091 | − | 0.0308385i | ||||
\(776\) | 97.7574i | 3.50929i | ||||||||
\(777\) | 39.9305 | − | 20.6361i | 1.43250 | − | 0.740317i | ||||
\(778\) | 56.9202 | + | 56.9202i | 2.04069 | + | 2.04069i | ||||
\(779\) | 2.83311 | − | 4.90708i | 0.101507 | − | 0.175814i | ||||
\(780\) | −40.4860 | − | 9.34193i | −1.44963 | − | 0.334495i | ||||
\(781\) | −4.88564 | − | 8.46217i | −0.174822 | − | 0.302800i | ||||
\(782\) | −0.500087 | + | 0.133998i | −0.0178831 | + | 0.00479176i | ||||
\(783\) | −0.732174 | + | 54.4748i | −0.0261658 | + | 1.94677i | ||||
\(784\) | 31.5102 | + | 21.9219i | 1.12536 | + | 0.782927i | ||||
\(785\) | 8.25557 | + | 8.25557i | 0.294654 | + | 0.294654i | ||||
\(786\) | −0.787781 | + | 0.780754i | −0.0280992 | + | 0.0278486i | ||||
\(787\) | 0.846065 | − | 3.15756i | 0.0301590 | − | 0.112555i | −0.949206 | − | 0.314657i | \(-0.898111\pi\) |
0.979364 | + | 0.202102i | \(0.0647772\pi\) | |||||||
\(788\) | −68.7817 | − | 18.4300i | −2.45025 | − | 0.656542i | ||||
\(789\) | −0.102879 | + | 22.9642i | −0.00366257 | + | 0.817546i | ||||
\(790\) | − | 9.03817i | − | 0.321564i | ||||||
\(791\) | 14.5101 | − | 13.3365i | 0.515919 | − | 0.474190i | ||||
\(792\) | −17.4165 | − | 10.2646i | −0.618870 | − | 0.364736i | ||||
\(793\) | 20.8300 | + | 32.9964i | 0.739694 | + | 1.17174i | ||||
\(794\) | 38.9448 | − | 22.4848i | 1.38210 | − | 0.797955i | ||||
\(795\) | −5.70307 | − | 21.6720i | −0.202267 | − | 0.768628i | ||||
\(796\) | −12.9583 | + | 22.4444i | −0.459293 | + | 0.795519i | ||||
\(797\) | 36.6002 | 1.29645 | 0.648223 | − | 0.761451i | \(-0.275513\pi\) | ||||
0.648223 | + | 0.761451i | \(0.275513\pi\) | |||||||
\(798\) | 10.5517 | + | 11.5840i | 0.373527 | + | 0.410070i | ||||
\(799\) | −0.0105202 | + | 0.0105202i | −0.000372179 | + | 0.000372179i | ||||
\(800\) | −1.65186 | − | 6.16482i | −0.0584020 | − | 0.217959i | ||||
\(801\) | −16.1987 | + | 15.9110i | −0.572352 | + | 0.562187i | ||||
\(802\) | −28.5976 | − | 49.5326i | −1.00982 | − | 1.74906i | ||||
\(803\) | −7.70942 | + | 13.3531i | −0.272059 | + | 0.471221i | ||||
\(804\) | 6.20836 | − | 22.7615i | 0.218952 | − | 0.802737i | ||||
\(805\) | −21.1682 | + | 11.0602i | −0.746081 | + | 0.389820i | ||||
\(806\) | −5.48352 | + | 10.4284i | −0.193149 | + | 0.367324i | ||||
\(807\) | 0.0209797 | − | 4.68302i | 0.000738522 | − | 0.164850i | ||||
\(808\) | −29.1689 | − | 7.81580i | −1.02616 | − | 0.274959i | ||||
\(809\) | 15.4915 | − | 8.94404i | 0.544654 | − | 0.314456i | −0.202309 | − | 0.979322i | \(-0.564845\pi\) |
0.746963 | + | 0.664866i | \(0.231511\pi\) | |||||||
\(810\) | −0.632352 | + | 35.2843i | −0.0222186 | + | 1.23976i | ||||
\(811\) | −1.18970 | + | 1.18970i | −0.0417760 | + | 0.0417760i | −0.727686 | − | 0.685910i | \(-0.759404\pi\) |
0.685910 | + | 0.727686i | \(0.259404\pi\) | |||||||
\(812\) | −35.1805 | + | 112.169i | −1.23459 | + | 3.93637i | ||||
\(813\) | −7.60364 | + | 27.8770i | −0.266671 | + | 0.977689i | ||||
\(814\) | −28.5293 | + | 7.64440i | −0.999951 | + | 0.267936i | ||||
\(815\) | 5.32337 | − | 3.07345i | 0.186470 | − | 0.107658i | ||||
\(816\) | −0.172537 | + | 0.295775i | −0.00604000 | + | 0.0103542i | ||||
\(817\) | 5.65531 | − | 1.51534i | 0.197854 | − | 0.0530149i | ||||
\(818\) | 34.3384 | 1.20061 | ||||||||
\(819\) | −20.0005 | − | 20.4690i | −0.698873 | − | 0.715246i | ||||
\(820\) | 27.5363 | 0.961609 | ||||||||
\(821\) | −23.9604 | + | 6.42017i | −0.836224 | + | 0.224066i | −0.651427 | − | 0.758711i | \(-0.725829\pi\) |
−0.184797 | + | 0.982777i | \(0.559163\pi\) | |||||||
\(822\) | −2.91837 | + | 5.00288i | −0.101790 | + | 0.174495i | ||||
\(823\) | −26.6801 | + | 15.4038i | −0.930011 | + | 0.536942i | −0.886815 | − | 0.462124i | \(-0.847087\pi\) |
−0.0431963 | + | 0.999067i | \(0.513754\pi\) | |||||||
\(824\) | 81.1313 | − | 21.7391i | 2.82634 | − | 0.757316i | ||||
\(825\) | 1.39314 | − | 5.10765i | 0.0485031 | − | 0.177825i | ||||
\(826\) | 35.0135 | + | 38.0948i | 1.21828 | + | 1.32549i | ||||
\(827\) | 27.8830 | − | 27.8830i | 0.969587 | − | 0.969587i | −0.0299638 | − | 0.999551i | \(-0.509539\pi\) |
0.999551 | + | 0.0299638i | \(0.00953920\pi\) | |||||||
\(828\) | 63.6323 | − | 35.9819i | 2.21138 | − | 1.25046i | ||||
\(829\) | −10.8992 | + | 6.29266i | −0.378545 | + | 0.218553i | −0.677185 | − | 0.735813i | \(-0.736800\pi\) |
0.298640 | + | 0.954366i | \(0.403467\pi\) | |||||||
\(830\) | −49.2654 | − | 13.2006i | −1.71003 | − | 0.458200i | ||||
\(831\) | 0.136983 | − | 30.5768i | 0.00475188 | − | 1.06070i | ||||
\(832\) | −14.9344 | − | 7.85289i | −0.517756 | − | 0.272250i | ||||
\(833\) | 0.228395 | − | 0.107344i | 0.00791342 | − | 0.00371926i | ||||
\(834\) | −21.8544 | + | 80.1243i | −0.756757 | + | 2.77448i | ||||
\(835\) | −2.73028 | + | 4.72898i | −0.0944852 | + | 0.163653i | ||||
\(836\) | −3.49761 | − | 6.05803i | −0.120967 | − | 0.209522i | ||||
\(837\) | 6.54269 | + | 1.84770i | 0.226148 | + | 0.0638658i | ||||
\(838\) | 7.43545 | + | 27.7495i | 0.256853 | + | 0.958590i | ||||
\(839\) | 31.6664 | − | 31.6664i | 1.09325 | − | 1.09325i | 0.0980660 | − | 0.995180i | \(-0.468734\pi\) |
0.995180 | − | 0.0980660i | \(-0.0312656\pi\) | |||||||
\(840\) | −12.2056 | + | 38.3143i | −0.421132 | + | 1.32197i | ||||
\(841\) | −80.9276 | −2.79061 | ||||||||
\(842\) | 25.7194 | − | 44.5473i | 0.886349 | − | 1.53520i | ||||
\(843\) | 2.38069 | + | 9.04679i | 0.0819954 | + | 0.311588i | ||||
\(844\) | −64.6306 | + | 37.3145i | −2.22468 | + | 1.28442i | ||||
\(845\) | 15.5258 | + | 13.2477i | 0.534104 | + | 0.455735i | ||||
\(846\) | 1.56997 | − | 2.66386i | 0.0539768 | − | 0.0915855i | ||||
\(847\) | 5.50394 | + | 24.6503i | 0.189118 | + | 0.846993i | ||||
\(848\) | 45.1917i | 1.55189i | ||||||||
\(849\) | −0.0674253 | + | 15.0504i | −0.00231403 | + | 0.516530i | ||||
\(850\) | −0.220496 | − | 0.0590816i | −0.00756294 | − | 0.00202648i | ||||
\(851\) | 14.5966 | − | 54.4752i | 0.500365 | − | 1.86739i | ||||
\(852\) | 42.2521 | − | 41.8752i | 1.44753 | − | 1.43462i | ||||
\(853\) | −24.8739 | − | 24.8739i | −0.851667 | − | 0.851667i | 0.138672 | − | 0.990338i | \(-0.455717\pi\) |
−0.990338 | + | 0.138672i | \(0.955717\pi\) | |||||||
\(854\) | 63.3843 | − | 33.1177i | 2.16896 | − | 1.13326i | ||||
\(855\) | −3.27399 | + | 5.55517i | −0.111968 | + | 0.189983i | ||||
\(856\) | −86.0285 | + | 23.0513i | −2.94039 | + | 0.787876i | ||||
\(857\) | −19.8450 | − | 34.3725i | −0.677891 | − | 1.17414i | −0.975615 | − | 0.219489i | \(-0.929561\pi\) |
0.297724 | − | 0.954652i | \(-0.403772\pi\) | |||||||
\(858\) | 9.96718 | + | 15.9467i | 0.340274 | + | 0.544410i | ||||
\(859\) | 4.10807 | − | 7.11539i | 0.140166 | − | 0.242774i | −0.787393 | − | 0.616451i | \(-0.788570\pi\) |
0.927559 | + | 0.373677i | \(0.121903\pi\) | |||||||
\(860\) | 20.1192 | + | 20.1192i | 0.686059 | + | 0.686059i | ||||
\(861\) | 15.9655 | + | 10.2379i | 0.544104 | + | 0.348907i | ||||
\(862\) | − | 88.0668i | − | 2.99957i | ||||||
\(863\) | 51.2884 | − | 13.7427i | 1.74588 | − | 0.467806i | 0.762138 | − | 0.647415i | \(-0.224150\pi\) |
0.983738 | + | 0.179609i | \(0.0574832\pi\) | |||||||
\(864\) | 3.55517 | − | 12.5888i | 0.120949 | − | 0.428281i | ||||
\(865\) | 5.72234 | − | 21.3561i | 0.194566 | − | 0.726128i | ||||
\(866\) | −14.5375 | − | 54.2547i | −0.494005 | − | 1.84365i | ||||
\(867\) | −14.6069 | − | 25.5637i | −0.496077 | − | 0.868190i | ||||
\(868\) | 12.3845 | + | 7.86349i | 0.420357 | + | 0.266904i | ||||
\(869\) | −1.96512 | + | 1.96512i | −0.0666620 | + | 0.0666620i | ||||
\(870\) | −71.2063 | − | 0.319001i | −2.41412 | − | 0.0108152i | ||||
\(871\) | −7.86469 | + | 8.51196i | −0.266485 | + | 0.288417i | ||||
\(872\) | 26.8278 | − | 15.4891i | 0.908505 | − | 0.524525i | ||||
\(873\) | −50.5597 | − | 14.0342i | −1.71119 | − | 0.474984i | ||||
\(874\) | 19.6607 | 0.665032 | ||||||||
\(875\) | −31.2716 | − | 1.31798i | −1.05717 | − | 0.0445558i | ||||
\(876\) | −90.5616 | − | 24.7013i | −3.05979 | − | 0.834578i | ||||
\(877\) | −9.59166 | − | 35.7966i | −0.323887 | − | 1.20876i | −0.915426 | − | 0.402487i | \(-0.868146\pi\) |
0.591538 | − | 0.806277i | \(-0.298521\pi\) | |||||||
\(878\) | −66.8281 | − | 17.9065i | −2.25534 | − | 0.604316i | ||||
\(879\) | −10.0621 | − | 38.2365i | −0.339385 | − | 1.28969i | ||||
\(880\) | 5.18996 | − | 8.98928i | 0.174954 | − | 0.303029i | ||||
\(881\) | 14.5052 | 0.488693 | 0.244346 | − | 0.969688i | \(-0.421427\pi\) | ||||
0.244346 | + | 0.969688i | \(0.421427\pi\) | |||||||
\(882\) | −40.3776 | + | 33.4744i | −1.35959 | + | 1.12714i | ||||
\(883\) | 8.89008i | 0.299175i | 0.988748 | + | 0.149588i | \(0.0477946\pi\) | ||||
−0.988748 | + | 0.149588i | \(0.952205\pi\) | |||||||
\(884\) | 0.465813 | − | 0.294058i | 0.0156670 | − | 0.00989025i | ||||
\(885\) | −10.7287 | + | 18.3918i | −0.360640 | + | 0.618234i | ||||
\(886\) | 13.4403 | + | 3.60131i | 0.451535 | + | 0.120989i | ||||
\(887\) | −0.844045 | − | 0.487309i | −0.0283402 | − | 0.0163622i | 0.485763 | − | 0.874091i | \(-0.338542\pi\) |
−0.514103 | + | 0.857728i | \(0.671875\pi\) | |||||||
\(888\) | −47.1075 | − | 82.4433i | −1.58082 | − | 2.76662i | ||||
\(889\) | 12.2098 | − | 11.2223i | 0.409505 | − | 0.376382i | ||||
\(890\) | −20.9851 | − | 20.9851i | −0.703422 | − | 0.703422i | ||||
\(891\) | 7.80915 | − | 7.53417i | 0.261616 | − | 0.252404i | ||||
\(892\) | −17.0532 | + | 63.6433i | −0.570982 | + | 2.13093i | ||||
\(893\) | 0.489291 | − | 0.282492i | 0.0163735 | − | 0.00945325i | ||||
\(894\) | 0.0447768 | − | 9.99492i | 0.00149756 | − | 0.334280i | ||||
\(895\) | 21.5454 | + | 21.5454i | 0.720185 | + | 0.720185i | ||||
\(896\) | −23.7163 | + | 37.3517i | −0.792307 | + | 1.24783i | ||||
\(897\) | −35.8858 | + | 1.25738i | −1.19819 | + | 0.0419826i | ||||
\(898\) | 6.76781 | − | 11.7222i | 0.225845 | − | 0.391174i | ||||
\(899\) | −3.55047 | + | 13.2505i | −0.118415 | + | 0.441930i | ||||
\(900\) | 32.2300 | + | 0.288784i | 1.07433 | + | 0.00962613i | ||||
\(901\) | 0.257304 | + | 0.148554i | 0.00857202 | + | 0.00494906i | ||||
\(902\) | −8.81257 | − | 8.81257i | −0.293426 | − | 0.293426i | ||||
\(903\) | 4.18484 | + | 19.1453i | 0.139263 | + | 0.637117i | ||||
\(904\) | −29.4392 | − | 29.4392i | −0.979133 | − | 0.979133i | ||||
\(905\) | −0.590238 | − | 2.20280i | −0.0196202 | − | 0.0732234i | ||||
\(906\) | −55.9492 | − | 32.6374i | −1.85879 | − | 1.08430i | ||||
\(907\) | 1.79669 | − | 1.03732i | 0.0596580 | − | 0.0344436i | −0.469874 | − | 0.882733i | \(-0.655701\pi\) |
0.529532 | + | 0.848290i | \(0.322367\pi\) | |||||||
\(908\) | −8.01050 | − | 29.8956i | −0.265838 | − | 0.992120i | ||||
\(909\) | 8.22983 | − | 13.9640i | 0.272966 | − | 0.463157i | ||||
\(910\) | 26.5185 | − | 26.3800i | 0.879079 | − | 0.874489i | ||||
\(911\) | − | 16.7050i | − | 0.553460i | −0.960948 | − | 0.276730i | \(-0.910749\pi\) | ||
0.960948 | − | 0.276730i | \(-0.0892508\pi\) | |||||||
\(912\) | 9.23588 | − | 9.15349i | 0.305830 | − | 0.303102i | ||||
\(913\) | 7.84135 | + | 13.5816i | 0.259511 | + | 0.449486i | ||||
\(914\) | −3.34478 | − | 5.79334i | −0.110636 | − | 0.191627i | ||||
\(915\) | 20.7163 | + | 20.9027i | 0.684858 | + | 0.691022i | ||||
\(916\) | 47.3993 | − | 47.3993i | 1.56612 | − | 1.56612i | ||||
\(917\) | −0.147823 | − | 0.662048i | −0.00488155 | − | 0.0218628i | ||||
\(918\) | −0.326359 | − | 0.335252i | −0.0107715 | − | 0.0110650i | ||||
\(919\) | 6.01586 | − | 10.4198i | 0.198445 | − | 0.343717i | −0.749579 | − | 0.661914i | \(-0.769744\pi\) |
0.948024 | + | 0.318198i | \(0.103078\pi\) | |||||||
\(920\) | 25.2271 | + | 43.6946i | 0.831712 | + | 1.44057i | ||||
\(921\) | −8.19371 | + | 2.15620i | −0.269992 | + | 0.0710492i | ||||
\(922\) | 59.4135 | + | 34.3024i | 1.95668 | + | 1.12969i | ||||
\(923\) | −27.9044 | + | 8.67170i | −0.918484 | + | 0.285432i | ||||
\(924\) | 20.8010 | − | 10.7500i | 0.684302 | − | 0.353648i | ||||
\(925\) | 17.5830 | − | 17.5830i | 0.578127 | − | 0.578127i | ||||
\(926\) | −0.280645 | − | 0.162030i | −0.00922255 | − | 0.00532464i | ||||
\(927\) | −0.403936 | + | 45.0817i | −0.0132670 | + | 1.48068i | ||||
\(928\) | 25.4955 | + | 6.83149i | 0.836929 | + | 0.224254i | ||||
\(929\) | −33.4348 | + | 8.95882i | −1.09696 | + | 0.293929i | −0.761526 | − | 0.648135i | \(-0.775549\pi\) |
−0.335433 | + | 0.942064i | \(0.608883\pi\) | |||||||
\(930\) | −2.33829 | + | 8.57283i | −0.0766757 | + | 0.281114i | ||||
\(931\) | −9.43279 | + | 1.69268i | −0.309147 | + | 0.0554754i | ||||
\(932\) | − | 29.5556i | − | 0.968126i | ||||||
\(933\) | 27.8312 | + | 0.124683i | 0.911153 | + | 0.00408193i | ||||
\(934\) | −7.18745 | + | 26.8239i | −0.235181 | + | 0.877706i | ||||
\(935\) | −0.0341209 | − | 0.0590991i | −0.00111587 | − | 0.00193275i | ||||
\(936\) | −41.4236 | + | 44.0346i | −1.35397 | + | 1.43932i | ||||
\(937\) | −2.71343 | −0.0886440 | −0.0443220 | − | 0.999017i | \(-0.514113\pi\) | ||||
−0.0443220 | + | 0.999017i | \(0.514113\pi\) | |||||||
\(938\) | 14.3728 | + | 15.6377i | 0.469290 | + | 0.510588i | ||||
\(939\) | 18.2091 | + | 31.8680i | 0.594233 | + | 1.03997i | ||||
\(940\) | 2.37783 | + | 1.37284i | 0.0775562 | + | 0.0447771i | ||||
\(941\) | −8.33651 | + | 31.1123i | −0.271763 | + | 1.01423i | 0.686217 | + | 0.727397i | \(0.259270\pi\) |
−0.957980 | + | 0.286835i | \(0.907397\pi\) | |||||||
\(942\) | 31.1107 | − | 8.18688i | 1.01364 | − | 0.266743i | ||||
\(943\) | 22.9863 | − | 6.15916i | 0.748537 | − | 0.200570i | ||||
\(944\) | 30.3618 | − | 30.3618i | 0.988191 | − | 0.988191i | ||||
\(945\) | −18.0637 | − | 11.8131i | −0.587614 | − | 0.384281i | ||||
\(946\) | − | 12.8777i | − | 0.418689i | ||||||
\(947\) | 4.69062 | + | 17.5056i | 0.152425 | + | 0.568857i | 0.999312 | + | 0.0370847i | \(0.0118071\pi\) |
−0.846887 | + | 0.531772i | \(0.821526\pi\) | |||||||
\(948\) | −14.6143 | − | 8.52512i | −0.474652 | − | 0.276883i | ||||
\(949\) | 33.8667 | + | 31.2913i | 1.09936 | + | 1.01576i | ||||
\(950\) | 7.50729 | + | 4.33434i | 0.243569 | + | 0.140624i | ||||
\(951\) | −3.50741 | + | 12.8591i | −0.113735 | + | 0.416985i | ||||
\(952\) | −0.246882 | − | 0.472511i | −0.00800150 | − | 0.0153142i | ||||
\(953\) | −55.7076 | −1.80455 | −0.902273 | − | 0.431165i | \(-0.858103\pi\) | ||||
−0.902273 | + | 0.431165i | \(0.858103\pi\) | |||||||
\(954\) | −59.4988 | − | 16.5154i | −1.92635 | − | 0.534707i | ||||
\(955\) | 20.9059 | + | 5.60171i | 0.676498 | + | 0.181267i | ||||
\(956\) | 75.3715 | + | 20.1957i | 2.43769 | + | 0.653177i | ||||
\(957\) | 15.4126 | + | 15.5513i | 0.498219 | + | 0.502703i | ||||
\(958\) | 33.2000 | 1.07264 | ||||||||
\(959\) | −1.64042 | − | 3.13961i | −0.0529718 | − | 0.101383i | ||||
\(960\) | −12.2771 | − | 3.34865i | −0.396240 | − | 0.108077i | ||||
\(961\) | −25.3643 | − | 14.6441i | −0.818202 | − | 0.472389i | ||||
\(962\) | 3.48830 | + | 88.2568i | 0.112467 | + | 2.84551i | ||||
\(963\) | 0.428318 | − | 47.8029i | 0.0138024 | − | 1.54043i | ||||
\(964\) | −5.46742 | − | 20.4047i | −0.176094 | − | 0.657191i | ||||
\(965\) | − | 5.93063i | − | 0.190914i | ||||||
\(966\) | −3.06566 | + | 65.7374i | −0.0986360 | + | 2.11507i | ||||
\(967\) | −19.7857 | + | 19.7857i | −0.636264 | + | 0.636264i | −0.949632 | − | 0.313368i | \(-0.898543\pi\) |
0.313368 | + | 0.949632i | \(0.398543\pi\) | |||||||
\(968\) | 51.5382 | − | 13.8096i | 1.65650 | − | 0.443858i | ||||
\(969\) | −0.0217561 | − | 0.0826747i | −0.000698908 | − | 0.00265590i | ||||
\(970\) | 17.7503 | − | 66.2451i | 0.569929 | − | 2.12700i | ||||
\(971\) | −21.4276 | − | 12.3712i | −0.687645 | − | 0.397012i | 0.115084 | − | 0.993356i | \(-0.463286\pi\) |
−0.802729 | + | 0.596344i | \(0.796619\pi\) | |||||||
\(972\) | 56.4568 | + | 34.3039i | 1.81085 | + | 1.10030i | ||||
\(973\) | −34.3729 | − | 37.3978i | −1.10194 | − | 1.19892i | ||||
\(974\) | 52.6067 | 1.68563 | ||||||||
\(975\) | −13.9799 | − | 7.43116i | −0.447716 | − | 0.237988i | ||||
\(976\) | −29.6736 | − | 51.3961i | −0.949828 | − | 1.64515i | ||||
\(977\) | 5.40842 | − | 20.1845i | 0.173031 | − | 0.645759i | −0.823848 | − | 0.566811i | \(-0.808177\pi\) |
0.996879 | − | 0.0789482i | \(-0.0251562\pi\) | |||||||
\(978\) | 0.0758774 | − | 16.9371i | 0.00242629 | − | 0.541588i | ||||
\(979\) | 9.12532i | 0.291647i | ||||||||
\(980\) | −30.0444 | − | 35.5864i | −0.959732 | − | 1.13676i | ||||
\(981\) | 4.15945 | + | 16.0989i | 0.132801 | + | 0.513997i | ||||
\(982\) | 38.4253 | − | 10.2960i | 1.22620 | − | 0.328560i | ||||
\(983\) | 1.90251 | + | 0.509776i | 0.0606807 | + | 0.0162593i | 0.289032 | − | 0.957320i | \(-0.406667\pi\) |
−0.228351 | + | 0.973579i | \(0.573333\pi\) | |||||||
\(984\) | 20.1883 | − | 34.6082i | 0.643580 | − | 1.10327i | ||||
\(985\) | 22.8458 | + | 13.1900i | 0.727927 | + | 0.420269i | ||||
\(986\) | 0.667549 | − | 0.667549i | 0.0212591 | − | 0.0212591i | ||||
\(987\) | 0.868246 | + | 1.68004i | 0.0276366 | + | 0.0534763i | ||||
\(988\) | −19.9766 | + | 6.20803i | −0.635541 | + | 0.197504i | ||||
\(989\) | 21.2949 | + | 12.2946i | 0.677139 | + | 0.390946i | ||||
\(990\) | 9.93849 | + | 10.1182i | 0.315866 | + | 0.321577i | ||||
\(991\) | 25.7506 | + | 44.6013i | 0.817994 | + | 1.41681i | 0.907158 | + | 0.420791i | \(0.138247\pi\) |
−0.0891632 | + | 0.996017i | \(0.528419\pi\) | |||||||
\(992\) | 1.64692 | − | 2.85255i | 0.0522897 | − | 0.0905685i | ||||
\(993\) | −9.39548 | − | 2.56268i | −0.298156 | − | 0.0813241i | ||||
\(994\) | 11.6701 | + | 52.2663i | 0.370153 | + | 1.65779i | ||||
\(995\) | 6.78902 | − | 6.78902i | 0.215227 | − | 0.215227i | ||||
\(996\) | −67.8137 | + | 67.2088i | −2.14876 | + | 2.12959i | ||||
\(997\) | −15.2981 | − | 26.4970i | −0.484494 | − | 0.839168i | 0.515347 | − | 0.856981i | \(-0.327663\pi\) |
−0.999841 | + | 0.0178130i | \(0.994330\pi\) | |||||||
\(998\) | 7.52386 | + | 13.0317i | 0.238164 | + | 0.412512i | ||||
\(999\) | 49.4021 | − | 12.5282i | 1.56301 | − | 0.396373i |
(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 | 273.2.cd.e.44.3 | ✓ | 112 | |
3.2 | odd | 2 | inner | 273.2.cd.e.44.26 | yes | 112 | |
7.4 | even | 3 | inner | 273.2.cd.e.200.26 | yes | 112 | |
13.8 | odd | 4 | inner | 273.2.cd.e.86.3 | yes | 112 | |
21.11 | odd | 6 | inner | 273.2.cd.e.200.3 | yes | 112 | |
39.8 | even | 4 | inner | 273.2.cd.e.86.26 | yes | 112 | |
91.60 | odd | 12 | inner | 273.2.cd.e.242.26 | yes | 112 | |
273.242 | even | 12 | inner | 273.2.cd.e.242.3 | yes | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.cd.e.44.3 | ✓ | 112 | 1.1 | even | 1 | trivial | |
273.2.cd.e.44.26 | yes | 112 | 3.2 | odd | 2 | inner | |
273.2.cd.e.86.3 | yes | 112 | 13.8 | odd | 4 | inner | |
273.2.cd.e.86.26 | yes | 112 | 39.8 | even | 4 | inner | |
273.2.cd.e.200.3 | yes | 112 | 21.11 | odd | 6 | inner | |
273.2.cd.e.200.26 | yes | 112 | 7.4 | even | 3 | inner | |
273.2.cd.e.242.3 | yes | 112 | 273.242 | even | 12 | inner | |
273.2.cd.e.242.26 | yes | 112 | 91.60 | odd | 12 | inner |