Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(13,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 15, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.v (of order \(32\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 229.19 | ||
Character | \(\chi\) | \(=\) | 384.229 |
Dual form | 384.2.v.a.109.19 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{9}{32}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.272887 | − | 1.38764i | 0.192960 | − | 0.981207i | ||||
\(3\) | −0.881921 | + | 0.471397i | −0.509177 | + | 0.272161i | ||||
\(4\) | −1.85107 | − | 0.757334i | −0.925533 | − | 0.378667i | ||||
\(5\) | 1.21818 | + | 1.48436i | 0.544789 | + | 0.663827i | 0.970519 | − | 0.241023i | \(-0.0774830\pi\) |
−0.425731 | + | 0.904850i | \(0.639983\pi\) | |||||||
\(6\) | 0.413462 | + | 1.35242i | 0.168795 | + | 0.552125i | ||||
\(7\) | 1.92661 | − | 1.28732i | 0.728189 | − | 0.486560i | −0.135378 | − | 0.990794i | \(-0.543225\pi\) |
0.863567 | + | 0.504234i | \(0.168225\pi\) | |||||||
\(8\) | −1.55604 | + | 2.36194i | −0.550142 | + | 0.835071i | ||||
\(9\) | 0.555570 | − | 0.831470i | 0.185190 | − | 0.277157i | ||||
\(10\) | 2.39218 | − | 1.28533i | 0.756474 | − | 0.406458i | ||||
\(11\) | 0.740315 | − | 0.224572i | 0.223213 | − | 0.0677110i | −0.176697 | − | 0.984265i | \(-0.556541\pi\) |
0.399910 | + | 0.916554i | \(0.369041\pi\) | |||||||
\(12\) | 1.98950 | − | 0.204677i | 0.574319 | − | 0.0590852i | ||||
\(13\) | 1.85681 | + | 1.52385i | 0.514987 | + | 0.422639i | 0.855657 | − | 0.517544i | \(-0.173154\pi\) |
−0.340669 | + | 0.940183i | \(0.610654\pi\) | |||||||
\(14\) | −1.26058 | − | 3.02472i | −0.336905 | − | 0.808391i | ||||
\(15\) | −1.77407 | − | 0.734842i | −0.458062 | − | 0.189735i | ||||
\(16\) | 2.85289 | + | 2.80375i | 0.713222 | + | 0.700938i | ||||
\(17\) | 5.13980 | − | 2.12898i | 1.24659 | − | 0.516353i | 0.340819 | − | 0.940129i | \(-0.389296\pi\) |
0.905767 | + | 0.423776i | \(0.139296\pi\) | |||||||
\(18\) | −1.00217 | − | 0.997826i | −0.236214 | − | 0.235190i | ||||
\(19\) | −0.262953 | − | 2.66981i | −0.0603256 | − | 0.612496i | −0.977055 | − | 0.212987i | \(-0.931681\pi\) |
0.916729 | − | 0.399509i | \(-0.130819\pi\) | |||||||
\(20\) | −1.13078 | − | 3.67022i | −0.252850 | − | 0.820687i | ||||
\(21\) | −1.09228 | + | 2.04351i | −0.238355 | + | 0.445930i | ||||
\(22\) | −0.109602 | − | 1.08857i | −0.0233673 | − | 0.232084i | ||||
\(23\) | 3.99789 | − | 0.795230i | 0.833618 | − | 0.165817i | 0.240212 | − | 0.970720i | \(-0.422783\pi\) |
0.593406 | + | 0.804904i | \(0.297783\pi\) | |||||||
\(24\) | 0.258891 | − | 2.81655i | 0.0528458 | − | 0.574927i | ||||
\(25\) | 0.256095 | − | 1.28747i | 0.0512189 | − | 0.257495i | ||||
\(26\) | 2.62124 | − | 2.16074i | 0.514068 | − | 0.423757i | ||||
\(27\) | −0.0980171 | + | 0.995185i | −0.0188634 | + | 0.191523i | ||||
\(28\) | −4.54121 | + | 0.923824i | −0.858207 | + | 0.174586i | ||||
\(29\) | −0.385772 | + | 1.27172i | −0.0716361 | + | 0.236152i | −0.985446 | − | 0.169990i | \(-0.945626\pi\) |
0.913810 | + | 0.406143i | \(0.133126\pi\) | |||||||
\(30\) | −1.50381 | + | 2.26123i | −0.274557 | + | 0.412842i | ||||
\(31\) | −4.74198 | − | 4.74198i | −0.851684 | − | 0.851684i | 0.138656 | − | 0.990341i | \(-0.455722\pi\) |
−0.990341 | + | 0.138656i | \(0.955722\pi\) | |||||||
\(32\) | 4.66910 | − | 3.19366i | 0.825388 | − | 0.564565i | ||||
\(33\) | −0.547037 | + | 0.547037i | −0.0952269 | + | 0.0952269i | ||||
\(34\) | −1.55166 | − | 7.71314i | −0.266107 | − | 1.32279i | ||||
\(35\) | 4.25781 | + | 1.29159i | 0.719701 | + | 0.218319i | ||||
\(36\) | −1.65810 | + | 1.11835i | −0.276350 | + | 0.186392i | ||||
\(37\) | −0.647732 | − | 0.0637961i | −0.106487 | − | 0.0104880i | 0.0446335 | − | 0.999003i | \(-0.485788\pi\) |
−0.151120 | + | 0.988515i | \(0.548288\pi\) | |||||||
\(38\) | −3.77648 | − | 0.363672i | −0.612626 | − | 0.0589953i | ||||
\(39\) | −2.35590 | − | 0.468618i | −0.377246 | − | 0.0750389i | ||||
\(40\) | −5.40151 | + | 0.567557i | −0.854054 | + | 0.0897386i | ||||
\(41\) | 1.92727 | + | 9.68903i | 0.300989 | + | 1.51317i | 0.774608 | + | 0.632442i | \(0.217947\pi\) |
−0.473619 | + | 0.880730i | \(0.657053\pi\) | |||||||
\(42\) | 2.53758 | + | 2.07333i | 0.391557 | + | 0.319922i | ||||
\(43\) | −3.77207 | − | 2.01621i | −0.575235 | − | 0.307470i | 0.158006 | − | 0.987438i | \(-0.449493\pi\) |
−0.733241 | + | 0.679969i | \(0.761993\pi\) | |||||||
\(44\) | −1.54045 | − | 0.144968i | −0.232231 | − | 0.0218548i | ||||
\(45\) | 1.91099 | − | 0.188216i | 0.284873 | − | 0.0280576i | ||||
\(46\) | −0.0125186 | − | 5.76462i | −0.00184577 | − | 0.849947i | ||||
\(47\) | −1.55657 | − | 3.75789i | −0.227049 | − | 0.548145i | 0.768766 | − | 0.639530i | \(-0.220871\pi\) |
−0.995816 | + | 0.0913843i | \(0.970871\pi\) | |||||||
\(48\) | −3.83770 | − | 1.12785i | −0.553925 | − | 0.162790i | ||||
\(49\) | −0.624156 | + | 1.50685i | −0.0891652 | + | 0.215264i | ||||
\(50\) | −1.71666 | − | 0.706700i | −0.242772 | − | 0.0999425i | ||||
\(51\) | −3.52931 | + | 4.30048i | −0.494202 | + | 0.602187i | ||||
\(52\) | −2.28302 | − | 4.22697i | −0.316598 | − | 0.586175i | ||||
\(53\) | 3.62840 | + | 11.9612i | 0.498400 | + | 1.64300i | 0.739985 | + | 0.672624i | \(0.234833\pi\) |
−0.241585 | + | 0.970380i | \(0.577667\pi\) | |||||||
\(54\) | 1.35421 | + | 0.407585i | 0.184284 | + | 0.0554652i | ||||
\(55\) | 1.23519 | + | 0.825325i | 0.166552 | + | 0.111287i | ||||
\(56\) | 0.0426967 | + | 6.55364i | 0.00570558 | + | 0.875767i | ||||
\(57\) | 1.49044 | + | 2.23061i | 0.197414 | + | 0.295451i | ||||
\(58\) | 1.65941 | + | 0.882346i | 0.217891 | + | 0.115858i | ||||
\(59\) | −0.544937 | + | 0.447218i | −0.0709447 | + | 0.0582228i | −0.669197 | − | 0.743085i | \(-0.733362\pi\) |
0.598253 | + | 0.801308i | \(0.295862\pi\) | |||||||
\(60\) | 2.72739 | + | 2.70380i | 0.352105 | + | 0.349059i | ||||
\(61\) | 2.90426 | + | 5.43348i | 0.371852 | + | 0.695686i | 0.996352 | − | 0.0853385i | \(-0.0271972\pi\) |
−0.624500 | + | 0.781025i | \(0.714697\pi\) | |||||||
\(62\) | −7.87416 | + | 5.28611i | −1.00002 | + | 0.671337i | ||||
\(63\) | − | 2.31711i | − | 0.291928i | ||||||
\(64\) | −3.15751 | − | 7.35052i | −0.394689 | − | 0.918815i | ||||
\(65\) | 4.61251i | 0.572111i | ||||||||
\(66\) | 0.609809 | + | 0.908367i | 0.0750623 | + | 0.111812i | ||||
\(67\) | 3.64798 | + | 6.82489i | 0.445671 | + | 0.833793i | 0.999999 | + | 0.00149398i | \(0.000475548\pi\) |
−0.554327 | + | 0.832299i | \(0.687024\pi\) | |||||||
\(68\) | −11.1265 | + | 0.0483252i | −1.34928 | + | 0.00586029i | ||||
\(69\) | −3.15096 | + | 2.58592i | −0.379331 | + | 0.311309i | ||||
\(70\) | 2.95416 | − | 5.55583i | 0.353089 | − | 0.664048i | ||||
\(71\) | 2.20895 | + | 3.30592i | 0.262154 | + | 0.392341i | 0.939074 | − | 0.343716i | \(-0.111686\pi\) |
−0.676920 | + | 0.736057i | \(0.736686\pi\) | |||||||
\(72\) | 1.09939 | + | 2.60602i | 0.129565 | + | 0.307122i | ||||
\(73\) | −10.6853 | − | 7.13966i | −1.25061 | − | 0.835634i | −0.259128 | − | 0.965843i | \(-0.583435\pi\) |
−0.991487 | + | 0.130209i | \(0.958435\pi\) | |||||||
\(74\) | −0.265283 | + | 0.881407i | −0.0308385 | + | 0.102462i | ||||
\(75\) | 0.381056 | + | 1.25617i | 0.0440005 | + | 0.145050i | ||||
\(76\) | −1.53519 | + | 5.14113i | −0.176099 | + | 0.589729i | ||||
\(77\) | 1.13720 | − | 1.38568i | 0.129596 | − | 0.157913i | ||||
\(78\) | −1.29316 | + | 3.14125i | −0.146422 | + | 0.355677i | ||||
\(79\) | 2.19861 | − | 5.30791i | 0.247363 | − | 0.597187i | −0.750616 | − | 0.660739i | \(-0.770243\pi\) |
0.997979 | + | 0.0635523i | \(0.0202430\pi\) | |||||||
\(80\) | −0.686437 | + | 7.65021i | −0.0767460 | + | 0.855319i | ||||
\(81\) | −0.382683 | − | 0.923880i | −0.0425204 | − | 0.102653i | ||||
\(82\) | 13.9708 | − | 0.0303393i | 1.54281 | − | 0.00335041i | ||||
\(83\) | −6.92680 | + | 0.682230i | −0.760315 | + | 0.0748845i | −0.470741 | − | 0.882271i | \(-0.656013\pi\) |
−0.289573 | + | 0.957156i | \(0.593513\pi\) | |||||||
\(84\) | 3.56950 | − | 2.95545i | 0.389464 | − | 0.322466i | ||||
\(85\) | 9.42140 | + | 5.03584i | 1.02189 | + | 0.546214i | ||||
\(86\) | −3.82712 | + | 4.68406i | −0.412689 | + | 0.505095i | ||||
\(87\) | −0.259264 | − | 1.30341i | −0.0277960 | − | 0.139740i | ||||
\(88\) | −0.621530 | + | 2.09802i | −0.0662554 | + | 0.223650i | ||||
\(89\) | 4.65705 | + | 0.926345i | 0.493646 | + | 0.0981923i | 0.435635 | − | 0.900124i | \(-0.356524\pi\) |
0.0580116 | + | 0.998316i | \(0.481524\pi\) | |||||||
\(90\) | 0.260308 | − | 2.70312i | 0.0274389 | − | 0.284934i | ||||
\(91\) | 5.53903 | + | 0.545546i | 0.580648 | + | 0.0571888i | ||||
\(92\) | −8.00261 | − | 1.55572i | −0.834330 | − | 0.162195i | ||||
\(93\) | 6.41740 | + | 1.94670i | 0.665454 | + | 0.201863i | ||||
\(94\) | −5.63936 | + | 1.13447i | −0.581655 | + | 0.117012i | ||||
\(95\) | 3.64264 | − | 3.64264i | 0.373727 | − | 0.373727i | ||||
\(96\) | −2.61230 | + | 5.01756i | −0.266616 | + | 0.512103i | ||||
\(97\) | −12.0214 | − | 12.0214i | −1.22059 | − | 1.22059i | −0.967424 | − | 0.253162i | \(-0.918529\pi\) |
−0.253162 | − | 0.967424i | \(-0.581471\pi\) | |||||||
\(98\) | 1.92063 | + | 1.27730i | 0.194013 | + | 0.129027i | ||||
\(99\) | 0.224572 | − | 0.740315i | 0.0225703 | − | 0.0744044i | ||||
\(100\) | −1.44910 | + | 2.18925i | −0.144910 | + | 0.218925i | ||||
\(101\) | 1.29132 | − | 13.1110i | 0.128491 | − | 1.30459i | −0.687356 | − | 0.726321i | \(-0.741229\pi\) |
0.815847 | − | 0.578268i | \(-0.196271\pi\) | |||||||
\(102\) | 5.00439 | + | 6.07094i | 0.495509 | + | 0.601112i | ||||
\(103\) | −0.663447 | + | 3.33538i | −0.0653714 | + | 0.328644i | −0.999608 | − | 0.0280106i | \(-0.991083\pi\) |
0.934236 | + | 0.356655i | \(0.116083\pi\) | |||||||
\(104\) | −6.48850 | + | 2.01452i | −0.636250 | + | 0.197540i | ||||
\(105\) | −4.36390 | + | 0.868034i | −0.425873 | + | 0.0847115i | ||||
\(106\) | 17.5880 | − | 1.77084i | 1.70830 | − | 0.171999i | ||||
\(107\) | −1.10196 | + | 2.06162i | −0.106531 | + | 0.199305i | −0.929538 | − | 0.368725i | \(-0.879794\pi\) |
0.823008 | + | 0.568030i | \(0.192294\pi\) | |||||||
\(108\) | 0.935124 | − | 1.76792i | 0.0899823 | − | 0.170118i | ||||
\(109\) | −0.490109 | − | 4.97616i | −0.0469439 | − | 0.476629i | −0.989701 | − | 0.143149i | \(-0.954277\pi\) |
0.942757 | − | 0.333480i | \(-0.108223\pi\) | |||||||
\(110\) | 1.48232 | − | 1.48877i | 0.141333 | − | 0.141948i | ||||
\(111\) | 0.601322 | − | 0.249076i | 0.0570750 | − | 0.0236412i | ||||
\(112\) | 9.10572 | + | 1.72915i | 0.860409 | + | 0.163390i | ||||
\(113\) | 0.215074 | + | 0.0890866i | 0.0202325 | + | 0.00838056i | 0.392777 | − | 0.919634i | \(-0.371515\pi\) |
−0.372544 | + | 0.928014i | \(0.621515\pi\) | |||||||
\(114\) | 3.50199 | − | 1.45949i | 0.327991 | − | 0.136694i | ||||
\(115\) | 6.05058 | + | 4.96558i | 0.564219 | + | 0.463043i | ||||
\(116\) | 1.67721 | − | 2.06188i | 0.155725 | − | 0.191441i | ||||
\(117\) | 2.29862 | − | 0.697280i | 0.212508 | − | 0.0644635i | ||||
\(118\) | 0.471870 | + | 0.878213i | 0.0434391 | + | 0.0808461i | ||||
\(119\) | 7.16171 | − | 10.7183i | 0.656513 | − | 0.982541i | ||||
\(120\) | 4.49616 | − | 3.04679i | 0.410441 | − | 0.278133i | ||||
\(121\) | −8.64853 | + | 5.77876i | −0.786230 | + | 0.525342i | ||||
\(122\) | 8.33223 | − | 2.54733i | 0.754365 | − | 0.230624i | ||||
\(123\) | −6.26707 | − | 7.63645i | −0.565083 | − | 0.688556i | ||||
\(124\) | 5.18645 | + | 12.3690i | 0.465757 | + | 1.11077i | ||||
\(125\) | 10.6905 | − | 5.71421i | 0.956190 | − | 0.511094i | ||||
\(126\) | −3.21531 | − | 0.632308i | −0.286442 | − | 0.0563305i | ||||
\(127\) | −19.9405 | −1.76943 | −0.884715 | − | 0.466132i | \(-0.845647\pi\) | ||||
−0.884715 | + | 0.466132i | \(0.845647\pi\) | |||||||
\(128\) | −11.0615 | + | 2.37561i | −0.977706 | + | 0.209976i | ||||
\(129\) | 4.27710 | 0.376578 | ||||||||
\(130\) | 6.40048 | + | 1.25869i | 0.561360 | + | 0.110395i | ||||
\(131\) | −19.2343 | + | 10.2810i | −1.68051 | + | 0.898253i | −0.697077 | + | 0.716996i | \(0.745516\pi\) |
−0.983436 | + | 0.181256i | \(0.941984\pi\) | |||||||
\(132\) | 1.42689 | − | 0.598311i | 0.124195 | − | 0.0520763i | ||||
\(133\) | −3.94350 | − | 4.80517i | −0.341945 | − | 0.416661i | ||||
\(134\) | 10.4659 | − | 3.19964i | 0.904120 | − | 0.276407i | ||||
\(135\) | −1.59662 | + | 1.06683i | −0.137415 | + | 0.0918177i | ||||
\(136\) | −2.96920 | + | 15.4527i | −0.254607 | + | 1.32505i | ||||
\(137\) | −10.5674 | + | 15.8152i | −0.902830 | + | 1.35118i | 0.0332700 | + | 0.999446i | \(0.489408\pi\) |
−0.936100 | + | 0.351734i | \(0.885592\pi\) | |||||||
\(138\) | 2.72847 | + | 5.07804i | 0.232262 | + | 0.432272i | ||||
\(139\) | −12.1237 | + | 3.67767i | −1.02832 | + | 0.311936i | −0.758983 | − | 0.651111i | \(-0.774303\pi\) |
−0.269333 | + | 0.963047i | \(0.586803\pi\) | |||||||
\(140\) | −6.90331 | − | 5.61541i | −0.583437 | − | 0.474588i | ||||
\(141\) | 3.14423 | + | 2.58040i | 0.264792 | + | 0.217309i | ||||
\(142\) | 5.19021 | − | 2.16307i | 0.435553 | − | 0.181521i | ||||
\(143\) | 1.71684 | + | 0.711138i | 0.143569 | + | 0.0594684i | ||||
\(144\) | 3.91621 | − | 0.814410i | 0.326351 | − | 0.0678675i | ||||
\(145\) | −2.35763 | + | 0.976564i | −0.195791 | + | 0.0810992i | ||||
\(146\) | −12.8231 | + | 12.8789i | −1.06125 | + | 1.06587i | ||||
\(147\) | −0.159866 | − | 1.62314i | −0.0131855 | − | 0.133875i | ||||
\(148\) | 1.15068 | + | 0.608641i | 0.0945853 | + | 0.0500299i | ||||
\(149\) | 3.41818 | − | 6.39497i | 0.280029 | − | 0.523897i | −0.702107 | − | 0.712072i | \(-0.747757\pi\) |
0.982136 | + | 0.188175i | \(0.0602572\pi\) | |||||||
\(150\) | 1.84710 | − | 0.185974i | 0.150815 | − | 0.0151847i | ||||
\(151\) | 18.7526 | − | 3.73013i | 1.52607 | − | 0.303553i | 0.640460 | − | 0.767991i | \(-0.278744\pi\) |
0.885606 | + | 0.464438i | \(0.153744\pi\) | |||||||
\(152\) | 6.71509 | + | 3.53324i | 0.544666 | + | 0.286583i | ||||
\(153\) | 1.08534 | − | 5.45639i | 0.0877448 | − | 0.441123i | ||||
\(154\) | −1.61250 | − | 1.95615i | −0.129939 | − | 0.157631i | ||||
\(155\) | 1.26221 | − | 12.8154i | 0.101383 | − | 1.02936i | ||||
\(156\) | 4.00603 | + | 2.65165i | 0.320739 | + | 0.212302i | ||||
\(157\) | −3.42685 | + | 11.2968i | −0.273492 | + | 0.901584i | 0.707364 | + | 0.706850i | \(0.249884\pi\) |
−0.980856 | + | 0.194734i | \(0.937616\pi\) | |||||||
\(158\) | −6.76548 | − | 4.49933i | −0.538232 | − | 0.357947i | ||||
\(159\) | −8.83846 | − | 8.83846i | −0.700935 | − | 0.700935i | ||||
\(160\) | 10.4284 | + | 3.04016i | 0.824436 | + | 0.240346i | ||||
\(161\) | 6.67865 | − | 6.67865i | 0.526351 | − | 0.526351i | ||||
\(162\) | −1.38644 | + | 0.278911i | −0.108929 | + | 0.0219133i | ||||
\(163\) | 4.73071 | + | 1.43505i | 0.370538 | + | 0.112401i | 0.470061 | − | 0.882634i | \(-0.344232\pi\) |
−0.0995234 | + | 0.995035i | \(0.531732\pi\) | |||||||
\(164\) | 3.77034 | − | 19.3946i | 0.294414 | − | 1.51446i | ||||
\(165\) | −1.47839 | − | 0.145609i | −0.115093 | − | 0.0113356i | ||||
\(166\) | −0.943543 | + | 9.79804i | −0.0732332 | + | 0.760475i | ||||
\(167\) | −10.6703 | − | 2.12245i | −0.825690 | − | 0.164240i | −0.235880 | − | 0.971782i | \(-0.575797\pi\) |
−0.589810 | + | 0.807542i | \(0.700797\pi\) | |||||||
\(168\) | −3.12702 | − | 5.75967i | −0.241255 | − | 0.444368i | ||||
\(169\) | −1.41053 | − | 7.09121i | −0.108502 | − | 0.545478i | ||||
\(170\) | 9.55889 | − | 11.6993i | 0.733133 | − | 0.897292i | ||||
\(171\) | −2.36595 | − | 1.26463i | −0.180929 | − | 0.0967086i | ||||
\(172\) | 5.45540 | + | 6.58886i | 0.415970 | + | 0.502396i | ||||
\(173\) | −2.23709 | + | 0.220334i | −0.170083 | + | 0.0167517i | −0.182700 | − | 0.983169i | \(-0.558484\pi\) |
0.0126171 | + | 0.999920i | \(0.495984\pi\) | |||||||
\(174\) | −1.87941 | + | 0.00408136i | −0.142477 | + | 0.000309407i | ||||
\(175\) | −1.16399 | − | 2.81013i | −0.0879897 | − | 0.212426i | ||||
\(176\) | 2.74168 | + | 1.43498i | 0.206662 | + | 0.108166i | ||||
\(177\) | 0.269774 | − | 0.651292i | 0.0202775 | − | 0.0489541i | ||||
\(178\) | 2.55628 | − | 6.20950i | 0.191601 | − | 0.465422i | ||||
\(179\) | −8.53103 | + | 10.3951i | −0.637639 | + | 0.776965i | −0.987121 | − | 0.159978i | \(-0.948858\pi\) |
0.349482 | + | 0.936943i | \(0.386358\pi\) | |||||||
\(180\) | −3.67991 | − | 1.09886i | −0.274284 | − | 0.0819040i | ||||
\(181\) | −2.29785 | − | 7.57500i | −0.170798 | − | 0.563046i | −0.999992 | − | 0.00408417i | \(-0.998700\pi\) |
0.829194 | − | 0.558961i | \(-0.188800\pi\) | |||||||
\(182\) | 2.26855 | − | 7.53728i | 0.168156 | − | 0.558700i | ||||
\(183\) | −5.12265 | − | 3.42285i | −0.378677 | − | 0.253024i | ||||
\(184\) | −4.34257 | + | 10.6802i | −0.320139 | + | 0.787353i | ||||
\(185\) | −0.694361 | − | 1.03918i | −0.0510504 | − | 0.0764023i | ||||
\(186\) | 4.45253 | − | 8.37379i | 0.326475 | − | 0.613996i | ||||
\(187\) | 3.32696 | − | 2.73037i | 0.243292 | − | 0.199664i | ||||
\(188\) | 0.0353323 | + | 8.13496i | 0.00257687 | + | 0.593303i | ||||
\(189\) | 1.09228 | + | 2.04351i | 0.0794516 | + | 0.148643i | ||||
\(190\) | −4.06063 | − | 6.04868i | −0.294589 | − | 0.438817i | ||||
\(191\) | − | 11.4815i | − | 0.830774i | −0.909645 | − | 0.415387i | \(-0.863646\pi\) | ||
0.909645 | − | 0.415387i | \(-0.136354\pi\) | |||||||
\(192\) | 6.24968 | + | 4.99414i | 0.451032 | + | 0.360421i | ||||
\(193\) | − | 16.9313i | − | 1.21874i | −0.792886 | − | 0.609370i | \(-0.791423\pi\) | ||
0.792886 | − | 0.609370i | \(-0.208577\pi\) | |||||||
\(194\) | −19.9618 | + | 13.4008i | −1.43317 | + | 0.962123i | ||||
\(195\) | −2.17432 | − | 4.06787i | −0.155706 | − | 0.291306i | ||||
\(196\) | 2.29654 | − | 2.31658i | 0.164039 | − | 0.165470i | ||||
\(197\) | 12.4011 | − | 10.1773i | 0.883540 | − | 0.725103i | −0.0788176 | − | 0.996889i | \(-0.525114\pi\) |
0.962358 | + | 0.271787i | \(0.0876145\pi\) | |||||||
\(198\) | −0.966004 | − | 0.513646i | −0.0686509 | − | 0.0365032i | ||||
\(199\) | 5.41231 | + | 8.10009i | 0.383668 | + | 0.574200i | 0.972164 | − | 0.234300i | \(-0.0752797\pi\) |
−0.588496 | + | 0.808500i | \(0.700280\pi\) | |||||||
\(200\) | 2.64244 | + | 2.60823i | 0.186849 | + | 0.184430i | ||||
\(201\) | −6.43446 | − | 4.29937i | −0.453852 | − | 0.303254i | ||||
\(202\) | −17.8409 | − | 5.36968i | −1.25528 | − | 0.377810i | ||||
\(203\) | 0.893876 | + | 2.94672i | 0.0627378 | + | 0.206819i | ||||
\(204\) | 9.78988 | − | 5.28760i | 0.685429 | − | 0.370206i | ||||
\(205\) | −12.0343 | + | 14.6638i | −0.840509 | + | 1.02416i | ||||
\(206\) | 4.44724 | + | 1.83080i | 0.309854 | + | 0.127558i | ||||
\(207\) | 1.55990 | − | 3.76593i | 0.108421 | − | 0.261750i | ||||
\(208\) | 1.02479 | + | 9.55341i | 0.0710566 | + | 0.662410i | ||||
\(209\) | −0.794232 | − | 1.91745i | −0.0549382 | − | 0.132633i | ||||
\(210\) | 0.0136647 | + | 6.29238i | 0.000942953 | + | 0.434216i | ||||
\(211\) | 20.2342 | − | 1.99289i | 1.39298 | − | 0.137196i | 0.626477 | − | 0.779440i | \(-0.284496\pi\) |
0.766500 | + | 0.642244i | \(0.221996\pi\) | |||||||
\(212\) | 2.34225 | − | 24.8890i | 0.160866 | − | 1.70938i | ||||
\(213\) | −3.50652 | − | 1.87427i | −0.240263 | − | 0.128423i | ||||
\(214\) | 2.56007 | + | 2.09171i | 0.175003 | + | 0.142986i | ||||
\(215\) | −1.60229 | − | 8.05523i | −0.109275 | − | 0.549362i | ||||
\(216\) | −2.19805 | − | 1.78005i | −0.149558 | − | 0.121117i | ||||
\(217\) | −15.2404 | − | 3.03149i | −1.03458 | − | 0.205791i | ||||
\(218\) | −7.03884 | − | 0.677834i | −0.476730 | − | 0.0459087i | ||||
\(219\) | 12.7892 | + | 1.25962i | 0.864212 | + | 0.0851174i | ||||
\(220\) | −1.66136 | − | 2.46318i | −0.112009 | − | 0.166067i | ||||
\(221\) | 12.7879 | + | 3.87916i | 0.860207 | + | 0.260941i | ||||
\(222\) | −0.181534 | − | 0.902385i | −0.0121837 | − | 0.0605641i | ||||
\(223\) | −5.62093 | + | 5.62093i | −0.376405 | + | 0.376405i | −0.869804 | − | 0.493398i | \(-0.835755\pi\) |
0.493398 | + | 0.869804i | \(0.335755\pi\) | |||||||
\(224\) | 4.88426 | − | 12.1636i | 0.326343 | − | 0.812712i | ||||
\(225\) | −0.928217 | − | 0.928217i | −0.0618811 | − | 0.0618811i | ||||
\(226\) | 0.182311 | − | 0.274134i | 0.0121271 | − | 0.0182351i | ||||
\(227\) | −5.93458 | + | 19.5637i | −0.393892 | + | 1.29849i | 0.506061 | + | 0.862498i | \(0.331101\pi\) |
−0.899952 | + | 0.435989i | \(0.856399\pi\) | |||||||
\(228\) | −1.06959 | − | 5.25776i | −0.0708356 | − | 0.348204i | ||||
\(229\) | 1.93195 | − | 19.6154i | 0.127667 | − | 1.29622i | −0.691378 | − | 0.722493i | \(-0.742996\pi\) |
0.819045 | − | 0.573729i | \(-0.194504\pi\) | |||||||
\(230\) | 8.54154 | − | 7.04096i | 0.563212 | − | 0.464267i | ||||
\(231\) | −0.349715 | + | 1.75813i | −0.0230095 | + | 0.115677i | ||||
\(232\) | −2.40345 | − | 2.89001i | −0.157794 | − | 0.189739i | ||||
\(233\) | −15.5797 | + | 3.09900i | −1.02066 | + | 0.203023i | −0.676932 | − | 0.736046i | \(-0.736691\pi\) |
−0.343731 | + | 0.939068i | \(0.611691\pi\) | |||||||
\(234\) | −0.340307 | − | 3.37993i | −0.0222465 | − | 0.220953i | ||||
\(235\) | 3.68189 | − | 6.88832i | 0.240180 | − | 0.449345i | ||||
\(236\) | 1.34741 | − | 0.415131i | 0.0877087 | − | 0.0270227i | ||||
\(237\) | 0.563132 | + | 5.71758i | 0.0365794 | + | 0.371397i | ||||
\(238\) | −12.9187 | − | 12.8627i | −0.837395 | − | 0.833766i | ||||
\(239\) | 11.1856 | − | 4.63323i | 0.723536 | − | 0.299698i | 0.00964327 | − | 0.999954i | \(-0.496930\pi\) |
0.713893 | + | 0.700255i | \(0.246930\pi\) | |||||||
\(240\) | −3.00090 | − | 7.07046i | −0.193707 | − | 0.456396i | ||||
\(241\) | −1.25428 | − | 0.519540i | −0.0807953 | − | 0.0334665i | 0.341920 | − | 0.939729i | \(-0.388923\pi\) |
−0.422715 | + | 0.906263i | \(0.638923\pi\) | |||||||
\(242\) | 5.65875 | + | 13.5780i | 0.363758 | + | 0.872824i | ||||
\(243\) | 0.773010 | + | 0.634393i | 0.0495886 | + | 0.0406963i | ||||
\(244\) | −1.26101 | − | 12.2572i | −0.0807278 | − | 0.784689i | ||||
\(245\) | −2.99704 | + | 0.909143i | −0.191474 | + | 0.0580830i | ||||
\(246\) | −12.3068 | + | 6.61253i | −0.784654 | + | 0.421600i | ||||
\(247\) | 3.58013 | − | 5.35804i | 0.227798 | − | 0.340924i | ||||
\(248\) | 18.5789 | − | 3.82157i | 1.17976 | − | 0.242670i | ||||
\(249\) | 5.78729 | − | 3.86694i | 0.366754 | − | 0.245057i | ||||
\(250\) | −5.01194 | − | 16.3939i | −0.316983 | − | 1.03684i | ||||
\(251\) | −13.5766 | − | 16.5432i | −0.856950 | − | 1.04420i | −0.998526 | − | 0.0542692i | \(-0.982717\pi\) |
0.141576 | − | 0.989927i | \(-0.454783\pi\) | |||||||
\(252\) | −1.75483 | + | 4.28912i | −0.110544 | + | 0.270189i | ||||
\(253\) | 2.78111 | − | 1.48653i | 0.174847 | − | 0.0934576i | ||||
\(254\) | −5.44148 | + | 27.6701i | −0.341429 | + | 1.73618i | ||||
\(255\) | −10.6828 | −0.668984 | ||||||||
\(256\) | 0.277953 | + | 15.9976i | 0.0173721 | + | 0.999849i | ||||
\(257\) | 21.2385 | 1.32482 | 0.662409 | − | 0.749142i | \(-0.269534\pi\) | ||||
0.662409 | + | 0.749142i | \(0.269534\pi\) | |||||||
\(258\) | 1.16716 | − | 5.93506i | 0.0726645 | − | 0.369501i | ||||
\(259\) | −1.33005 | + | 0.710927i | −0.0826454 | + | 0.0441749i | ||||
\(260\) | 3.49321 | − | 8.53806i | 0.216640 | − | 0.529508i | ||||
\(261\) | 0.843073 | + | 1.02729i | 0.0521849 | + | 0.0635875i | ||||
\(262\) | 9.01745 | + | 29.4958i | 0.557100 | + | 1.82226i | ||||
\(263\) | 17.4224 | − | 11.6413i | 1.07431 | − | 0.717834i | 0.113085 | − | 0.993585i | \(-0.463927\pi\) |
0.961229 | + | 0.275752i | \(0.0889267\pi\) | |||||||
\(264\) | −0.440859 | − | 2.14328i | −0.0271330 | − | 0.131909i | ||||
\(265\) | −13.3347 | + | 19.9569i | −0.819147 | + | 1.22594i | ||||
\(266\) | −7.74395 | + | 4.16087i | −0.474812 | + | 0.255120i | ||||
\(267\) | −4.54383 | + | 1.37835i | −0.278078 | + | 0.0843539i | ||||
\(268\) | −1.58393 | − | 15.3961i | −0.0967537 | − | 0.940464i | ||||
\(269\) | 19.0108 | + | 15.6018i | 1.15911 | + | 0.951256i | 0.999355 | − | 0.0359009i | \(-0.0114301\pi\) |
0.159753 | + | 0.987157i | \(0.448930\pi\) | |||||||
\(270\) | 1.04467 | + | 2.50665i | 0.0635766 | + | 0.152550i | ||||
\(271\) | 27.8566 | + | 11.5386i | 1.69217 | + | 0.700919i | 0.999787 | − | 0.0206145i | \(-0.00656225\pi\) |
0.692380 | + | 0.721533i | \(0.256562\pi\) | |||||||
\(272\) | 20.6324 | + | 8.33700i | 1.25102 | + | 0.505505i | ||||
\(273\) | −5.14215 | + | 2.12995i | −0.311217 | + | 0.128910i | ||||
\(274\) | 19.0620 | + | 18.9794i | 1.15158 | + | 1.14659i | ||||
\(275\) | −0.0995401 | − | 1.01065i | −0.00600249 | − | 0.0609443i | ||||
\(276\) | 7.79104 | − | 2.40039i | 0.468965 | − | 0.144486i | ||||
\(277\) | −2.15973 | + | 4.04057i | −0.129766 | + | 0.242774i | −0.938410 | − | 0.345523i | \(-0.887702\pi\) |
0.808645 | + | 0.588297i | \(0.200202\pi\) | |||||||
\(278\) | 1.79488 | + | 17.8268i | 0.107650 | + | 1.06918i | ||||
\(279\) | −6.57731 | + | 1.30831i | −0.393773 | + | 0.0783264i | ||||
\(280\) | −9.67596 | + | 8.04692i | −0.578249 | + | 0.480895i | ||||
\(281\) | 2.22275 | − | 11.1745i | 0.132598 | − | 0.666615i | −0.856114 | − | 0.516787i | \(-0.827128\pi\) |
0.988712 | − | 0.149828i | \(-0.0478720\pi\) | |||||||
\(282\) | 4.43868 | − | 3.65889i | 0.264320 | − | 0.217884i | ||||
\(283\) | −1.17357 | + | 11.9154i | −0.0697614 | + | 0.708300i | 0.895157 | + | 0.445751i | \(0.147063\pi\) |
−0.964919 | + | 0.262549i | \(0.915437\pi\) | |||||||
\(284\) | −1.58522 | − | 7.79240i | −0.0940654 | − | 0.462394i | ||||
\(285\) | −1.49539 | + | 4.92965i | −0.0885793 | + | 0.292007i | ||||
\(286\) | 1.45530 | − | 2.18829i | 0.0860539 | − | 0.129396i | ||||
\(287\) | 16.1859 | + | 16.1859i | 0.955426 | + | 0.955426i | ||||
\(288\) | −0.0614215 | − | 5.65652i | −0.00361930 | − | 0.333314i | ||||
\(289\) | 9.86422 | − | 9.86422i | 0.580248 | − | 0.580248i | ||||
\(290\) | 0.711748 | + | 3.53803i | 0.0417953 | + | 0.207760i | ||||
\(291\) | 16.2687 | + | 4.93507i | 0.953691 | + | 0.289299i | ||||
\(292\) | 14.3720 | + | 21.3083i | 0.841058 | + | 1.24697i | ||||
\(293\) | −25.4279 | − | 2.50443i | −1.48552 | − | 0.146311i | −0.677523 | − | 0.735502i | \(-0.736946\pi\) |
−0.807993 | + | 0.589191i | \(0.799446\pi\) | |||||||
\(294\) | −2.29596 | − | 0.221099i | −0.133903 | − | 0.0128948i | ||||
\(295\) | −1.32767 | − | 0.264089i | −0.0772997 | − | 0.0153759i | ||||
\(296\) | 1.15858 | − | 1.43063i | 0.0673409 | − | 0.0831540i | ||||
\(297\) | 0.150927 | + | 0.758762i | 0.00875768 | + | 0.0440278i | ||||
\(298\) | −7.94112 | − | 6.48830i | −0.460017 | − | 0.375857i | ||||
\(299\) | 8.63515 | + | 4.61558i | 0.499383 | + | 0.266926i | ||||
\(300\) | 0.245983 | − | 2.61385i | 0.0142019 | − | 0.150910i | ||||
\(301\) | −9.86280 | + | 0.971401i | −0.568482 | + | 0.0559906i | ||||
\(302\) | −0.0587201 | − | 27.0397i | −0.00337896 | − | 1.55596i | ||||
\(303\) | 5.04162 | + | 12.1716i | 0.289634 | + | 0.699238i | ||||
\(304\) | 6.73530 | − | 8.35392i | 0.386296 | − | 0.479130i | ||||
\(305\) | −4.52734 | + | 10.9300i | −0.259234 | + | 0.625847i | ||||
\(306\) | −7.27530 | − | 2.99504i | −0.415901 | − | 0.171215i | ||||
\(307\) | −1.61460 | + | 1.96740i | −0.0921501 | + | 0.112285i | −0.817044 | − | 0.576575i | \(-0.804389\pi\) |
0.724894 | + | 0.688861i | \(0.241889\pi\) | |||||||
\(308\) | −3.15446 | + | 1.70375i | −0.179742 | + | 0.0970801i | ||||
\(309\) | −0.987177 | − | 3.25429i | −0.0561585 | − | 0.185130i | ||||
\(310\) | −17.4387 | − | 5.24864i | −0.990450 | − | 0.298103i | ||||
\(311\) | 10.6194 | + | 7.09564i | 0.602170 | + | 0.402357i | 0.818951 | − | 0.573863i | \(-0.194556\pi\) |
−0.216782 | + | 0.976220i | \(0.569556\pi\) | |||||||
\(312\) | 4.77271 | − | 4.83531i | 0.270201 | − | 0.273745i | ||||
\(313\) | 13.0718 | + | 19.5633i | 0.738862 | + | 1.10579i | 0.990439 | + | 0.137948i | \(0.0440508\pi\) |
−0.251577 | + | 0.967837i | \(0.580949\pi\) | |||||||
\(314\) | 14.7407 | + | 7.83797i | 0.831867 | + | 0.442322i | ||||
\(315\) | 3.43943 | − | 2.82267i | 0.193790 | − | 0.159039i | ||||
\(316\) | −8.08963 | + | 8.16021i | −0.455078 | + | 0.459048i | ||||
\(317\) | −4.46881 | − | 8.36056i | −0.250993 | − | 0.469576i | 0.724597 | − | 0.689173i | \(-0.242026\pi\) |
−0.975591 | + | 0.219597i | \(0.929526\pi\) | |||||||
\(318\) | −14.6765 | + | 9.85266i | −0.823015 | + | 0.552510i | ||||
\(319\) | 1.02811i | 0.0575629i | ||||||||
\(320\) | 7.06440 | − | 13.6412i | 0.394912 | − | 0.762565i | ||||
\(321\) | − | 2.33765i | − | 0.130475i | ||||||
\(322\) | −7.44502 | − | 11.0900i | −0.414895 | − | 0.618024i | ||||
\(323\) | −7.03549 | − | 13.1625i | −0.391465 | − | 0.732379i | ||||
\(324\) | 0.00868646 | + | 1.99998i | 0.000482581 | + | 0.111110i | ||||
\(325\) | 2.43743 | − | 2.00035i | 0.135205 | − | 0.110959i | ||||
\(326\) | 3.28227 | − | 6.17290i | 0.181788 | − | 0.341885i | ||||
\(327\) | 2.77798 | + | 4.15754i | 0.153623 | + | 0.229913i | ||||
\(328\) | −25.8838 | − | 10.5244i | −1.42919 | − | 0.581112i | ||||
\(329\) | −7.83651 | − | 5.23619i | −0.432041 | − | 0.288680i | ||||
\(330\) | −0.605485 | + | 2.01173i | −0.0333309 | + | 0.110742i | ||||
\(331\) | 8.70674 | + | 28.7023i | 0.478566 | + | 1.57762i | 0.781052 | + | 0.624466i | \(0.214683\pi\) |
−0.302486 | + | 0.953154i | \(0.597817\pi\) | |||||||
\(332\) | 13.3386 | + | 3.98305i | 0.732053 | + | 0.218598i | ||||
\(333\) | −0.412905 | + | 0.503126i | −0.0226271 | + | 0.0275712i | ||||
\(334\) | −5.85696 | + | 14.2273i | −0.320479 | + | 0.778481i | ||||
\(335\) | −5.68669 | + | 13.7289i | −0.310697 | + | 0.750089i | ||||
\(336\) | −8.84564 | + | 2.76743i | −0.482569 | + | 0.150976i | ||||
\(337\) | −0.764852 | − | 1.84652i | −0.0416642 | − | 0.100586i | 0.901678 | − | 0.432409i | \(-0.142336\pi\) |
−0.943342 | + | 0.331823i | \(0.892336\pi\) | |||||||
\(338\) | −10.2249 | + | 0.0222047i | −0.556163 | + | 0.00120778i | ||||
\(339\) | −0.231673 | + | 0.0228178i | −0.0125828 | + | 0.00123930i | ||||
\(340\) | −13.6258 | − | 16.4568i | −0.738963 | − | 0.892497i | ||||
\(341\) | −4.57547 | − | 2.44564i | −0.247776 | − | 0.132439i | ||||
\(342\) | −2.40048 | + | 2.93798i | −0.129803 | + | 0.158868i | ||||
\(343\) | 3.90161 | + | 19.6147i | 0.210667 | + | 1.05909i | ||||
\(344\) | 10.6316 | − | 5.77210i | 0.573220 | − | 0.311211i | ||||
\(345\) | −7.67689 | − | 1.52703i | −0.413310 | − | 0.0822124i | ||||
\(346\) | −0.304729 | + | 3.16440i | −0.0163823 | + | 0.170119i | ||||
\(347\) | −24.2003 | − | 2.38352i | −1.29914 | − | 0.127954i | −0.575312 | − | 0.817934i | \(-0.695119\pi\) |
−0.723828 | + | 0.689980i | \(0.757619\pi\) | |||||||
\(348\) | −0.507201 | + | 2.60904i | −0.0271888 | + | 0.139859i | ||||
\(349\) | −21.7908 | − | 6.61015i | −1.16643 | − | 0.353833i | −0.353074 | − | 0.935596i | \(-0.614863\pi\) |
−0.813359 | + | 0.581762i | \(0.802363\pi\) | |||||||
\(350\) | −4.21708 | + | 0.848353i | −0.225412 | + | 0.0453464i | ||||
\(351\) | −1.69851 | + | 1.69851i | −0.0906597 | + | 0.0906597i | ||||
\(352\) | 2.73940 | − | 3.41287i | 0.146010 | − | 0.181906i | ||||
\(353\) | −8.43155 | − | 8.43155i | −0.448766 | − | 0.448766i | 0.446178 | − | 0.894944i | \(-0.352785\pi\) |
−0.894944 | + | 0.446178i | \(0.852785\pi\) | |||||||
\(354\) | −0.830139 | − | 0.552077i | −0.0441214 | − | 0.0293426i | ||||
\(355\) | −2.21628 | + | 7.30610i | −0.117628 | + | 0.387768i | ||||
\(356\) | −7.91895 | − | 5.24167i | −0.419704 | − | 0.277808i | ||||
\(357\) | −1.26351 | + | 12.8287i | −0.0668722 | + | 0.678965i | ||||
\(358\) | 12.0966 | + | 14.6746i | 0.639325 | + | 0.775579i | ||||
\(359\) | −1.86064 | + | 9.35406i | −0.0982007 | + | 0.493688i | 0.900114 | + | 0.435655i | \(0.143483\pi\) |
−0.998315 | + | 0.0580337i | \(0.981517\pi\) | |||||||
\(360\) | −2.52901 | + | 4.80651i | −0.133291 | + | 0.253325i | ||||
\(361\) | 11.5762 | − | 2.30265i | 0.609273 | − | 0.121192i | ||||
\(362\) | −11.1384 | + | 1.12146i | −0.585421 | + | 0.0589429i | ||||
\(363\) | 4.90323 | − | 9.17331i | 0.257353 | − | 0.481474i | ||||
\(364\) | −9.83994 | − | 5.20474i | −0.515753 | − | 0.272802i | ||||
\(365\) | −2.41877 | − | 24.5582i | −0.126604 | − | 1.28544i | ||||
\(366\) | −6.14757 | + | 6.17433i | −0.321339 | + | 0.322737i | ||||
\(367\) | −27.9860 | + | 11.5922i | −1.46086 | + | 0.605107i | −0.964753 | − | 0.263156i | \(-0.915237\pi\) |
−0.496104 | + | 0.868263i | \(0.665237\pi\) | |||||||
\(368\) | 13.6352 | + | 8.94039i | 0.710782 | + | 0.466050i | ||||
\(369\) | 9.12686 | + | 3.78047i | 0.475126 | + | 0.196803i | ||||
\(370\) | −1.63149 | + | 0.679940i | −0.0848172 | + | 0.0353484i | ||||
\(371\) | 22.3884 | + | 18.3737i | 1.16235 | + | 0.953915i | ||||
\(372\) | −10.4047 | − | 8.46358i | −0.539460 | − | 0.438816i | ||||
\(373\) | −7.43321 | + | 2.25484i | −0.384877 | + | 0.116751i | −0.476793 | − | 0.879016i | \(-0.658201\pi\) |
0.0919160 | + | 0.995767i | \(0.470701\pi\) | |||||||
\(374\) | −2.88087 | − | 5.36169i | −0.148966 | − | 0.277247i | ||||
\(375\) | −6.73455 | + | 10.0790i | −0.347770 | + | 0.520475i | ||||
\(376\) | 11.2980 | + | 2.17089i | 0.582650 | + | 0.111955i | ||||
\(377\) | −2.65421 | + | 1.77349i | −0.136699 | + | 0.0913393i | ||||
\(378\) | 3.13371 | − | 0.958038i | 0.161181 | − | 0.0492762i | ||||
\(379\) | −3.17311 | − | 3.86645i | −0.162992 | − | 0.198606i | 0.685110 | − | 0.728440i | \(-0.259754\pi\) |
−0.848101 | + | 0.529834i | \(0.822254\pi\) | |||||||
\(380\) | −9.50145 | + | 3.98407i | −0.487414 | + | 0.204378i | ||||
\(381\) | 17.5859 | − | 9.39987i | 0.900954 | − | 0.481570i | ||||
\(382\) | −15.9322 | − | 3.13315i | −0.815161 | − | 0.160306i | ||||
\(383\) | −22.2956 | −1.13925 | −0.569627 | − | 0.821904i | \(-0.692912\pi\) | ||||
−0.569627 | + | 0.821904i | \(0.692912\pi\) | |||||||
\(384\) | 8.63550 | − | 7.30945i | 0.440679 | − | 0.373009i | ||||
\(385\) | 3.44217 | 0.175429 | ||||||||
\(386\) | −23.4944 | − | 4.62032i | −1.19584 | − | 0.235168i | ||||
\(387\) | −3.77207 | + | 2.01621i | −0.191745 | + | 0.102490i | ||||
\(388\) | 13.1482 | + | 31.3566i | 0.667497 | + | 1.59189i | ||||
\(389\) | −10.5969 | − | 12.9123i | −0.537282 | − | 0.654680i | 0.431640 | − | 0.902046i | \(-0.357935\pi\) |
−0.968922 | + | 0.247366i | \(0.920435\pi\) | |||||||
\(390\) | −6.23807 | + | 1.90710i | −0.315877 | + | 0.0965697i | ||||
\(391\) | 18.8553 | − | 12.5987i | 0.953556 | − | 0.637146i | ||||
\(392\) | −2.58787 | − | 3.81892i | −0.130707 | − | 0.192885i | ||||
\(393\) | 12.1168 | − | 18.1340i | 0.611210 | − | 0.914740i | ||||
\(394\) | −10.7383 | − | 19.9854i | −0.540988 | − | 1.00685i | ||||
\(395\) | 10.5572 | − | 3.20248i | 0.531189 | − | 0.161134i | ||||
\(396\) | −0.976363 | + | 1.20029i | −0.0490641 | + | 0.0603171i | ||||
\(397\) | 20.4940 | + | 16.8190i | 1.02856 | + | 0.844119i | 0.987906 | − | 0.155054i | \(-0.0495552\pi\) |
0.0406560 | + | 0.999173i | \(0.487055\pi\) | |||||||
\(398\) | 12.7169 | − | 5.29991i | 0.637442 | − | 0.265660i | ||||
\(399\) | 5.74300 | + | 2.37883i | 0.287509 | + | 0.119090i | ||||
\(400\) | 4.34037 | − | 2.95500i | 0.217018 | − | 0.147750i | ||||
\(401\) | −9.78326 | + | 4.05236i | −0.488553 | + | 0.202365i | −0.613341 | − | 0.789818i | \(-0.710175\pi\) |
0.124788 | + | 0.992183i | \(0.460175\pi\) | |||||||
\(402\) | −7.72183 | + | 7.75545i | −0.385130 | + | 0.386806i | ||||
\(403\) | −1.57892 | − | 16.0310i | −0.0786515 | − | 0.798562i | ||||
\(404\) | −12.3197 | + | 23.2913i | −0.612928 | + | 1.15878i | ||||
\(405\) | 0.905193 | − | 1.69350i | 0.0449794 | − | 0.0841505i | ||||
\(406\) | 4.33289 | − | 0.436256i | 0.215038 | − | 0.0216510i | ||||
\(407\) | −0.493852 | + | 0.0982333i | −0.0244794 | + | 0.00486925i | ||||
\(408\) | −4.66573 | − | 15.0277i | −0.230988 | − | 0.743982i | ||||
\(409\) | −0.635243 | + | 3.19358i | −0.0314108 | + | 0.157913i | −0.993307 | − | 0.115501i | \(-0.963153\pi\) |
0.961897 | + | 0.273413i | \(0.0881527\pi\) | |||||||
\(410\) | 17.0640 | + | 20.7007i | 0.842731 | + | 1.02234i | ||||
\(411\) | 1.86436 | − | 18.9291i | 0.0919620 | − | 0.933706i | ||||
\(412\) | 3.75408 | − | 5.67155i | 0.184950 | − | 0.279417i | ||||
\(413\) | −0.474167 | + | 1.56312i | −0.0233322 | + | 0.0769161i | ||||
\(414\) | −4.80006 | − | 3.19224i | −0.235910 | − | 0.156890i | ||||
\(415\) | −9.45079 | − | 9.45079i | −0.463921 | − | 0.463921i | ||||
\(416\) | 13.5363 | + | 1.18496i | 0.663672 | + | 0.0580974i | ||||
\(417\) | 8.95847 | − | 8.95847i | 0.438698 | − | 0.438698i | ||||
\(418\) | −2.87745 | + | 0.578860i | −0.140741 | + | 0.0283129i | ||||
\(419\) | −20.2317 | − | 6.13722i | −0.988384 | − | 0.299823i | −0.245612 | − | 0.969368i | \(-0.578989\pi\) |
−0.742771 | + | 0.669545i | \(0.766489\pi\) | |||||||
\(420\) | 8.73526 | + | 1.69815i | 0.426237 | + | 0.0828610i | ||||
\(421\) | −16.1029 | − | 1.58600i | −0.784809 | − | 0.0772969i | −0.302329 | − | 0.953204i | \(-0.597764\pi\) |
−0.482480 | + | 0.875907i | \(0.660264\pi\) | |||||||
\(422\) | 2.75622 | − | 28.6215i | 0.134171 | − | 1.39327i | ||||
\(423\) | −3.98936 | − | 0.793533i | −0.193969 | − | 0.0385829i | ||||
\(424\) | −33.8976 | − | 10.0421i | −1.64622 | − | 0.487685i | ||||
\(425\) | −1.42473 | − | 7.16258i | −0.0691094 | − | 0.347436i | ||||
\(426\) | −3.55769 | + | 4.35431i | −0.172371 | + | 0.210967i | ||||
\(427\) | 12.5900 | + | 6.72949i | 0.609272 | + | 0.325663i | ||||
\(428\) | 3.60114 | − | 2.98165i | 0.174068 | − | 0.144123i | ||||
\(429\) | −1.84935 | + | 0.182145i | −0.0892872 | + | 0.00879403i | ||||
\(430\) | −11.6150 | + | 0.0252234i | −0.560124 | + | 0.00121638i | ||||
\(431\) | 13.4653 | + | 32.5081i | 0.648601 | + | 1.56586i | 0.814783 | + | 0.579766i | \(0.196856\pi\) |
−0.166183 | + | 0.986095i | \(0.553144\pi\) | |||||||
\(432\) | −3.06988 | + | 2.56434i | −0.147700 | + | 0.123377i | ||||
\(433\) | 5.41086 | − | 13.0630i | 0.260029 | − | 0.627767i | −0.738910 | − | 0.673804i | \(-0.764659\pi\) |
0.998940 | + | 0.0460371i | \(0.0146593\pi\) | |||||||
\(434\) | −8.36550 | + | 20.3208i | −0.401557 | + | 0.975430i | ||||
\(435\) | 1.61890 | − | 1.97263i | 0.0776202 | − | 0.0945805i | ||||
\(436\) | −2.86139 | + | 9.58237i | −0.137036 | + | 0.458912i | ||||
\(437\) | −3.17437 | − | 10.4645i | −0.151851 | − | 0.500585i | ||||
\(438\) | 5.23789 | − | 17.4030i | 0.250276 | − | 0.831546i | ||||
\(439\) | 15.6696 | + | 10.4701i | 0.747869 | + | 0.499710i | 0.870151 | − | 0.492785i | \(-0.164021\pi\) |
−0.122282 | + | 0.992495i | \(0.539021\pi\) | |||||||
\(440\) | −3.87136 | + | 1.63320i | −0.184560 | + | 0.0778597i | ||||
\(441\) | 0.906134 | + | 1.35613i | 0.0431492 | + | 0.0645774i | ||||
\(442\) | 8.87251 | − | 16.6864i | 0.422022 | − | 0.793689i | ||||
\(443\) | 10.7563 | − | 8.82751i | 0.511049 | − | 0.419407i | −0.343207 | − | 0.939260i | \(-0.611513\pi\) |
0.854256 | + | 0.519853i | \(0.174013\pi\) | |||||||
\(444\) | −1.30172 | + | 0.00565372i | −0.0617769 | + | 0.000268314i | ||||
\(445\) | 4.29811 | + | 8.04120i | 0.203750 | + | 0.381190i | ||||
\(446\) | 6.26593 | + | 9.33368i | 0.296700 | + | 0.441963i | ||||
\(447\) | 7.25119i | 0.342969i | ||||||||
\(448\) | −15.5457 | − | 10.0968i | −0.734467 | − | 0.477031i | ||||
\(449\) | 39.2811i | 1.85379i | 0.375321 | + | 0.926895i | \(0.377532\pi\) | ||||
−0.375321 | + | 0.926895i | \(0.622468\pi\) | |||||||
\(450\) | −1.54133 | + | 1.03473i | −0.0726588 | + | 0.0487776i | ||||
\(451\) | 3.60267 | + | 6.74012i | 0.169643 | + | 0.317380i | ||||
\(452\) | −0.330648 | − | 0.327788i | −0.0155524 | − | 0.0154179i | ||||
\(453\) | −14.7800 | + | 12.1296i | −0.694423 | + | 0.569898i | ||||
\(454\) | 25.5278 | + | 13.5737i | 1.19808 | + | 0.637045i | ||||
\(455\) | 5.93777 | + | 8.88649i | 0.278367 | + | 0.416605i | ||||
\(456\) | −7.58774 | + | 0.0494338i | −0.355328 | + | 0.00231495i | ||||
\(457\) | 2.92068 | + | 1.95154i | 0.136624 | + | 0.0912891i | 0.622004 | − | 0.783014i | \(-0.286319\pi\) |
−0.485380 | + | 0.874303i | \(0.661319\pi\) | |||||||
\(458\) | −26.6918 | − | 8.03362i | −1.24723 | − | 0.375386i | ||||
\(459\) | 1.61494 | + | 5.32373i | 0.0753787 | + | 0.248490i | ||||
\(460\) | −7.43941 | − | 13.7739i | −0.346864 | − | 0.642213i | ||||
\(461\) | −17.9361 | + | 21.8552i | −0.835366 | + | 1.01790i | 0.164139 | + | 0.986437i | \(0.447515\pi\) |
−0.999505 | + | 0.0314590i | \(0.989985\pi\) | |||||||
\(462\) | 2.34422 | + | 0.965048i | 0.109063 | + | 0.0448981i | ||||
\(463\) | 7.15218 | − | 17.2669i | 0.332390 | − | 0.802461i | −0.666011 | − | 0.745942i | \(-0.732000\pi\) |
0.998402 | − | 0.0565192i | \(-0.0180002\pi\) | |||||||
\(464\) | −4.66615 | + | 2.54647i | −0.216621 | + | 0.118217i | ||||
\(465\) | 4.92797 | + | 11.8972i | 0.228529 | + | 0.551719i | ||||
\(466\) | 0.0487849 | + | 22.4647i | 0.00225992 | + | 1.04066i | ||||
\(467\) | 1.56739 | − | 0.154375i | 0.0725302 | − | 0.00714360i | −0.0616869 | − | 0.998096i | \(-0.519648\pi\) |
0.134217 | + | 0.990952i | \(0.457148\pi\) | |||||||
\(468\) | −4.78298 | − | 0.450116i | −0.221093 | − | 0.0208066i | ||||
\(469\) | 15.8140 | + | 8.45277i | 0.730224 | + | 0.390313i | ||||
\(470\) | −8.55375 | − | 6.98885i | −0.394555 | − | 0.322371i | ||||
\(471\) | −2.30307 | − | 11.5783i | −0.106120 | − | 0.533500i | ||||
\(472\) | −0.208361 | − | 1.98299i | −0.00959058 | − | 0.0912747i | ||||
\(473\) | −3.24530 | − | 0.645531i | −0.149219 | − | 0.0296815i | ||||
\(474\) | 8.08759 | + | 0.778828i | 0.371475 | + | 0.0357728i | ||||
\(475\) | −3.50465 | − | 0.345178i | −0.160804 | − | 0.0158378i | ||||
\(476\) | −21.3741 | + | 14.4164i | −0.979681 | + | 0.660774i | ||||
\(477\) | 11.9612 | + | 3.62840i | 0.547668 | + | 0.166133i | ||||
\(478\) | −3.37683 | − | 16.7859i | −0.154453 | − | 0.767768i | ||||
\(479\) | 10.8102 | − | 10.8102i | 0.493931 | − | 0.493931i | −0.415611 | − | 0.909542i | \(-0.636432\pi\) |
0.909542 | + | 0.415611i | \(0.136432\pi\) | |||||||
\(480\) | −10.6301 | + | 2.23472i | −0.485197 | + | 0.102001i | ||||
\(481\) | −1.10550 | − | 1.10550i | −0.0504066 | − | 0.0504066i | ||||
\(482\) | −1.06321 | + | 1.59871i | −0.0484278 | + | 0.0728191i | ||||
\(483\) | −2.74175 | + | 9.03834i | −0.124754 | + | 0.411259i | ||||
\(484\) | 20.3855 | − | 4.14704i | 0.926612 | − | 0.188502i | ||||
\(485\) | 3.19982 | − | 32.4883i | 0.145296 | − | 1.47522i | ||||
\(486\) | 1.09125 | − | 0.899539i | 0.0495001 | − | 0.0408039i | ||||
\(487\) | −4.87785 | + | 24.5226i | −0.221037 | + | 1.11123i | 0.697711 | + | 0.716380i | \(0.254202\pi\) |
−0.918747 | + | 0.394846i | \(0.870798\pi\) | |||||||
\(488\) | −17.3527 | − | 1.59501i | −0.785519 | − | 0.0722029i | ||||
\(489\) | −4.84859 | + | 0.964444i | −0.219261 | + | 0.0436137i | ||||
\(490\) | 0.443706 | + | 4.40690i | 0.0200446 | + | 0.199083i | ||||
\(491\) | −2.52545 | + | 4.72479i | −0.113972 | + | 0.213227i | −0.932439 | − | 0.361326i | \(-0.882324\pi\) |
0.818467 | + | 0.574553i | \(0.194824\pi\) | |||||||
\(492\) | 5.81742 | + | 18.8818i | 0.262269 | + | 0.851259i | ||||
\(493\) | 0.724669 | + | 7.35769i | 0.0326375 | + | 0.331374i | ||||
\(494\) | −6.45803 | − | 6.43005i | −0.290561 | − | 0.289301i | ||||
\(495\) | 1.37246 | − | 0.568493i | 0.0616877 | − | 0.0255519i | ||||
\(496\) | −0.233009 | − | 26.8237i | −0.0104624 | − | 1.20442i | ||||
\(497\) | 8.51155 | + | 3.52560i | 0.381795 | + | 0.158145i | ||||
\(498\) | −3.78663 | − | 9.08588i | −0.169683 | − | 0.407148i | ||||
\(499\) | 5.63323 | + | 4.62307i | 0.252178 | + | 0.206957i | 0.751986 | − | 0.659179i | \(-0.229096\pi\) |
−0.499808 | + | 0.866136i | \(0.666596\pi\) | |||||||
\(500\) | −24.1164 | + | 2.48107i | −1.07852 | + | 0.110957i | ||||
\(501\) | 10.4109 | − | 3.15810i | 0.465123 | − | 0.141093i | ||||
\(502\) | −26.6608 | + | 14.3250i | −1.18993 | + | 0.639357i | ||||
\(503\) | 14.4869 | − | 21.6812i | 0.645938 | − | 0.966715i | −0.353572 | − | 0.935407i | \(-0.615033\pi\) |
0.999510 | − | 0.0313075i | \(-0.00996710\pi\) | |||||||
\(504\) | 5.47287 | + | 3.60551i | 0.243781 | + | 0.160602i | ||||
\(505\) | 21.0345 | − | 14.0548i | 0.936022 | − | 0.625430i | ||||
\(506\) | −1.30384 | − | 4.26482i | −0.0579628 | − | 0.189595i | ||||
\(507\) | 4.58675 | + | 5.58897i | 0.203705 | + | 0.248215i | ||||
\(508\) | 36.9111 | + | 15.1016i | 1.63767 | + | 0.670025i | ||||
\(509\) | 19.6423 | − | 10.4990i | 0.870630 | − | 0.465362i | 0.0253463 | − | 0.999679i | \(-0.491931\pi\) |
0.845284 | + | 0.534317i | \(0.179431\pi\) | |||||||
\(510\) | −2.91520 | + | 14.8239i | −0.129087 | + | 0.656411i | ||||
\(511\) | −29.7773 | −1.31727 | ||||||||
\(512\) | 22.2747 | + | 3.97983i | 0.984411 | + | 0.175885i | ||||
\(513\) | 2.68273 | 0.118445 | ||||||||
\(514\) | 5.79569 | − | 29.4712i | 0.255637 | − | 1.29992i | ||||
\(515\) | −5.75910 | + | 3.07831i | −0.253776 | + | 0.135646i | ||||
\(516\) | −7.91720 | − | 3.23920i | −0.348535 | − | 0.142598i | ||||
\(517\) | −1.99627 | − | 2.43246i | −0.0877959 | − | 0.106980i | ||||
\(518\) | 0.623555 | + | 2.03963i | 0.0273974 | + | 0.0896162i | ||||
\(519\) | 1.86908 | − | 1.24888i | 0.0820433 | − | 0.0548196i | ||||
\(520\) | −10.8945 | − | 7.17723i | −0.477754 | − | 0.314742i | ||||
\(521\) | −9.88611 | + | 14.7956i | −0.433118 | + | 0.648207i | −0.982260 | − | 0.187522i | \(-0.939955\pi\) |
0.549142 | + | 0.835729i | \(0.314955\pi\) | |||||||
\(522\) | 1.65556 | − | 0.889545i | 0.0724621 | − | 0.0389343i | ||||
\(523\) | 27.6851 | − | 8.39818i | 1.21058 | − | 0.367227i | 0.380456 | − | 0.924799i | \(-0.375767\pi\) |
0.830128 | + | 0.557573i | \(0.188267\pi\) | |||||||
\(524\) | 43.3902 | − | 4.46392i | 1.89551 | − | 0.195007i | ||||
\(525\) | 2.35124 | + | 1.92961i | 0.102616 | + | 0.0842152i | ||||
\(526\) | −11.3995 | − | 27.3528i | −0.497044 | − | 1.19264i | ||||
\(527\) | −34.4684 | − | 14.2773i | −1.50147 | − | 0.621928i | ||||
\(528\) | −3.09439 | + | 0.0268800i | −0.134666 | + | 0.00116980i | ||||
\(529\) | −5.89849 | + | 2.44323i | −0.256456 | + | 0.106228i | ||||
\(530\) | 24.0540 | + | 23.9497i | 1.04484 | + | 1.04031i | ||||
\(531\) | 0.0690976 | + | 0.701559i | 0.00299858 | + | 0.0304451i | ||||
\(532\) | 3.66056 | + | 11.8812i | 0.158705 | + | 0.515117i | ||||
\(533\) | −11.1860 | + | 20.9276i | −0.484520 | + | 0.906474i | ||||
\(534\) | 0.672705 | + | 6.68131i | 0.0291108 | + | 0.289129i | ||||
\(535\) | −4.40259 | + | 0.875729i | −0.190341 | + | 0.0378611i | ||||
\(536\) | −21.7963 | − | 2.00347i | −0.941459 | − | 0.0865365i | ||||
\(537\) | 2.62348 | − | 13.1891i | 0.113212 | − | 0.569154i | ||||
\(538\) | 26.8373 | − | 22.1226i | 1.15704 | − | 0.953771i | ||||
\(539\) | −0.123676 | + | 1.25571i | −0.00532712 | + | 0.0540872i | ||||
\(540\) | 3.76339 | − | 0.765591i | 0.161950 | − | 0.0329458i | ||||
\(541\) | 12.6736 | − | 41.7793i | 0.544881 | − | 1.79623i | −0.0578985 | − | 0.998322i | \(-0.518440\pi\) |
0.602779 | − | 0.797908i | \(-0.294060\pi\) | |||||||
\(542\) | 23.6130 | − | 35.5061i | 1.01427 | − | 1.52512i | ||||
\(543\) | 5.59736 | + | 5.59736i | 0.240206 | + | 0.240206i | ||||
\(544\) | 17.1990 | − | 26.3552i | 0.737402 | − | 1.12997i | ||||
\(545\) | 6.78937 | − | 6.78937i | 0.290825 | − | 0.290825i | ||||
\(546\) | 1.55237 | + | 7.71667i | 0.0664353 | + | 0.330243i | ||||
\(547\) | −24.7935 | − | 7.52102i | −1.06009 | − | 0.321576i | −0.288360 | − | 0.957522i | \(-0.593110\pi\) |
−0.771733 | + | 0.635946i | \(0.780610\pi\) | |||||||
\(548\) | 31.5382 | − | 21.2719i | 1.34725 | − | 0.908690i | ||||
\(549\) | 6.13130 | + | 0.603880i | 0.261677 | + | 0.0257730i | ||||
\(550\) | −1.42957 | − | 0.137667i | −0.0609572 | − | 0.00587013i | ||||
\(551\) | 3.49669 | + | 0.695535i | 0.148964 | + | 0.0296308i | ||||
\(552\) | −1.20479 | − | 11.4662i | −0.0512793 | − | 0.488032i | ||||
\(553\) | −2.59711 | − | 13.0566i | −0.110440 | − | 0.555222i | ||||
\(554\) | 5.01748 | + | 4.09954i | 0.213172 | + | 0.174173i | ||||
\(555\) | 1.10224 | + | 0.589159i | 0.0467875 | + | 0.0250084i | ||||
\(556\) | 25.2269 | + | 2.37405i | 1.06986 | + | 0.100682i | ||||
\(557\) | −3.08537 | + | 0.303882i | −0.130731 | + | 0.0128759i | −0.163171 | − | 0.986598i | \(-0.552172\pi\) |
0.0324399 | + | 0.999474i | \(0.489672\pi\) | |||||||
\(558\) | 0.0205955 | + | 9.48393i | 0.000871878 | + | 0.401487i | ||||
\(559\) | −3.93163 | − | 9.49179i | −0.166290 | − | 0.401460i | ||||
\(560\) | 8.52575 | + | 15.6226i | 0.360279 | + | 0.660175i | ||||
\(561\) | −1.64703 | + | 3.97629i | −0.0695378 | + | 0.167879i | ||||
\(562\) | −14.8996 | − | 6.13373i | −0.628501 | − | 0.258736i | ||||
\(563\) | −9.84542 | + | 11.9967i | −0.414935 | + | 0.505600i | −0.937972 | − | 0.346710i | \(-0.887299\pi\) |
0.523037 | + | 0.852310i | \(0.324799\pi\) | |||||||
\(564\) | −3.86595 | − | 7.15773i | −0.162786 | − | 0.301395i | ||||
\(565\) | 0.129763 | + | 0.427771i | 0.00545917 | + | 0.0179965i | ||||
\(566\) | 16.2140 | + | 4.88005i | 0.681527 | + | 0.205124i | ||||
\(567\) | −1.92661 | − | 1.28732i | −0.0809099 | − | 0.0540623i | ||||
\(568\) | −11.2456 | + | 0.0732645i | −0.471855 | + | 0.00307411i | ||||
\(569\) | 19.5447 | + | 29.2507i | 0.819357 | + | 1.22626i | 0.971298 | + | 0.237865i | \(0.0764477\pi\) |
−0.151941 | + | 0.988390i | \(0.548552\pi\) | |||||||
\(570\) | 6.43248 | + | 3.42029i | 0.269427 | + | 0.143260i | ||||
\(571\) | 34.5546 | − | 28.3582i | 1.44607 | − | 1.18676i | 0.498627 | − | 0.866817i | \(-0.333838\pi\) |
0.947438 | − | 0.319938i | \(-0.103662\pi\) | |||||||
\(572\) | −2.63941 | − | 2.61659i | −0.110359 | − | 0.109405i | ||||
\(573\) | 5.41235 | + | 10.1258i | 0.226104 | + | 0.423011i | ||||
\(574\) | 26.8771 | − | 18.0433i | 1.12183 | − | 0.753111i | ||||
\(575\) | − | 5.35083i | − | 0.223145i | ||||||
\(576\) | −7.86595 | − | 1.45836i | −0.327748 | − | 0.0607649i | ||||
\(577\) | − | 39.2847i | − | 1.63544i | −0.575615 | − | 0.817721i | \(-0.695237\pi\) | ||
0.575615 | − | 0.817721i | \(-0.304763\pi\) | |||||||
\(578\) | −10.9961 | − | 16.3798i | −0.457379 | − | 0.681308i | ||||
\(579\) | 7.98134 | + | 14.9320i | 0.331693 | + | 0.620555i | ||||
\(580\) | 5.10372 | − | 0.0221668i | 0.211920 | − | 0.000920428i | ||||
\(581\) | −12.4670 | + | 10.2314i | −0.517217 | + | 0.424469i | ||||
\(582\) | 11.2876 | − | 21.2284i | 0.467886 | − | 0.879945i | ||||
\(583\) | 5.37232 | + | 8.04024i | 0.222499 | + | 0.332993i | ||||
\(584\) | 33.4901 | − | 14.1284i | 1.38583 | − | 0.584636i | ||||
\(585\) | 3.83516 | + | 2.56257i | 0.158564 | + | 0.105949i | ||||
\(586\) | −10.4142 | + | 34.6013i | −0.430206 | + | 1.42937i | ||||
\(587\) | 0.701223 | + | 2.31162i | 0.0289426 | + | 0.0954109i | 0.970222 | − | 0.242218i | \(-0.0778750\pi\) |
−0.941279 | + | 0.337629i | \(0.890375\pi\) | |||||||
\(588\) | −0.933341 | + | 3.12562i | −0.0384903 | + | 0.128898i | ||||
\(589\) | −11.4132 | + | 13.9071i | −0.470275 | + | 0.573031i | ||||
\(590\) | −0.728762 | + | 1.77025i | −0.0300027 | + | 0.0728801i | ||||
\(591\) | −6.13923 | + | 14.8214i | −0.252534 | + | 0.609671i | ||||
\(592\) | −1.66904 | − | 1.99808i | −0.0685971 | − | 0.0821207i | ||||
\(593\) | 0.490048 | + | 1.18308i | 0.0201239 | + | 0.0485833i | 0.933622 | − | 0.358259i | \(-0.116630\pi\) |
−0.913498 | + | 0.406843i | \(0.866630\pi\) | |||||||
\(594\) | 1.09407 | − | 0.00237591i | 0.0448903 | − | 9.74848e-5i | ||||
\(595\) | 24.6341 | − | 2.42624i | 1.00990 | − | 0.0994663i | ||||
\(596\) | −11.1704 | + | 9.24881i | −0.457558 | + | 0.378846i | ||||
\(597\) | −8.59159 | − | 4.59230i | −0.351630 | − | 0.187950i | ||||
\(598\) | 8.76116 | − | 10.7229i | 0.358271 | − | 0.438492i | ||||
\(599\) | 1.37958 | + | 6.93559i | 0.0563679 | + | 0.283381i | 0.998681 | − | 0.0513535i | \(-0.0163535\pi\) |
−0.942313 | + | 0.334734i | \(0.891354\pi\) | |||||||
\(600\) | −3.55994 | − | 1.05462i | −0.145334 | − | 0.0430546i | ||||
\(601\) | 14.2062 | + | 2.82579i | 0.579482 | + | 0.115266i | 0.476124 | − | 0.879378i | \(-0.342041\pi\) |
0.103358 | + | 0.994644i | \(0.467041\pi\) | |||||||
\(602\) | −1.34348 | + | 13.9511i | −0.0547560 | + | 0.568603i | ||||
\(603\) | 7.70139 | + | 0.758521i | 0.313625 | + | 0.0308894i | ||||
\(604\) | −37.5373 | − | 7.29729i | −1.52737 | − | 0.296922i | ||||
\(605\) | −19.1133 | − | 5.79795i | −0.777065 | − | 0.235720i | ||||
\(606\) | 18.2655 | − | 3.67448i | 0.741984 | − | 0.149266i | ||||
\(607\) | 1.46066 | − | 1.46066i | 0.0592862 | − | 0.0592862i | −0.676842 | − | 0.736128i | \(-0.736652\pi\) |
0.736128 | + | 0.676842i | \(0.236652\pi\) | |||||||
\(608\) | −9.75423 | − | 11.6258i | −0.395586 | − | 0.471489i | ||||
\(609\) | −2.17740 | − | 2.17740i | −0.0882327 | − | 0.0882327i | ||||
\(610\) | 13.9313 | + | 9.26493i | 0.564064 | + | 0.375126i | ||||
\(611\) | 2.83620 | − | 9.34969i | 0.114740 | − | 0.378248i | ||||
\(612\) | −6.14135 | + | 9.27816i | −0.248249 | + | 0.375047i | ||||
\(613\) | 1.65639 | − | 16.8177i | 0.0669012 | − | 0.679259i | −0.901988 | − | 0.431762i | \(-0.857892\pi\) |
0.968889 | − | 0.247497i | \(-0.0796080\pi\) | |||||||
\(614\) | 2.28943 | + | 2.77735i | 0.0923937 | + | 0.112085i | ||||
\(615\) | 3.70081 | − | 18.6052i | 0.149231 | − | 0.750234i | ||||
\(616\) | 1.50337 | + | 4.84217i | 0.0605726 | + | 0.195096i | ||||
\(617\) | 1.60305 | − | 0.318866i | 0.0645364 | − | 0.0128371i | −0.162717 | − | 0.986673i | \(-0.552026\pi\) |
0.227253 | + | 0.973836i | \(0.427026\pi\) | |||||||
\(618\) | −4.78515 | + | 0.481791i | −0.192487 | + | 0.0193805i | ||||
\(619\) | −7.37466 | + | 13.7970i | −0.296413 | + | 0.554549i | −0.985406 | − | 0.170218i | \(-0.945553\pi\) |
0.688994 | + | 0.724767i | \(0.258053\pi\) | |||||||
\(620\) | −12.0420 | + | 22.7663i | −0.483618 | + | 0.914315i | ||||
\(621\) | 0.399539 | + | 4.05659i | 0.0160329 | + | 0.162785i | ||||
\(622\) | 12.7441 | − | 12.7995i | 0.510990 | − | 0.513214i | ||||
\(623\) | 10.1648 | − | 4.21040i | 0.407244 | − | 0.168686i | ||||
\(624\) | −5.40723 | − | 7.94227i | −0.216463 | − | 0.317945i | ||||
\(625\) | 15.4411 | + | 6.39592i | 0.617644 | + | 0.255837i | ||||
\(626\) | 30.7139 | − | 12.8003i | 1.22758 | − | 0.511604i | ||||
\(627\) | 1.60433 | + | 1.31664i | 0.0640707 | + | 0.0525815i | ||||
\(628\) | 14.8988 | − | 18.3159i | 0.594527 | − | 0.730883i | ||||
\(629\) | −3.46504 | + | 1.05111i | −0.138160 | + | 0.0419104i | ||||
\(630\) | −2.97826 | − | 5.54294i | −0.118657 | − | 0.220836i | ||||
\(631\) | 24.3305 | − | 36.4132i | 0.968583 | − | 1.44959i | 0.0768411 | − | 0.997043i | \(-0.475517\pi\) |
0.891742 | − | 0.452544i | \(-0.149483\pi\) | |||||||
\(632\) | 9.11585 | + | 13.4523i | 0.362609 | + | 0.535103i | ||||
\(633\) | −16.9055 | + | 11.2959i | −0.671933 | + | 0.448971i | ||||
\(634\) | −12.8209 | + | 3.91960i | −0.509183 | + | 0.155667i | ||||
\(635\) | −24.2912 | − | 29.5989i | −0.963965 | − | 1.17459i | ||||
\(636\) | 9.66690 | + | 23.0542i | 0.383317 | + | 0.914160i | ||||
\(637\) | −3.45514 | + | 1.84681i | −0.136898 | + | 0.0731734i | ||||
\(638\) | 1.42664 | + | 0.280556i | 0.0564811 | + | 0.0111073i | ||||
\(639\) | 3.97600 | 0.157288 | ||||||||
\(640\) | −17.0012 | − | 13.5253i | −0.672031 | − | 0.534635i | ||||
\(641\) | 23.5722 | 0.931048 | 0.465524 | − | 0.885035i | \(-0.345866\pi\) | ||||
0.465524 | + | 0.885035i | \(0.345866\pi\) | |||||||
\(642\) | −3.24381 | − | 0.637914i | −0.128023 | − | 0.0251764i | ||||
\(643\) | −26.7661 | + | 14.3068i | −1.05555 | + | 0.564204i | −0.905444 | − | 0.424465i | \(-0.860462\pi\) |
−0.150108 | + | 0.988670i | \(0.547962\pi\) | |||||||
\(644\) | −17.4206 | + | 7.30465i | −0.686468 | + | 0.287844i | ||||
\(645\) | 5.21030 | + | 6.34877i | 0.205155 | + | 0.249983i | ||||
\(646\) | −20.1846 | + | 6.17083i | −0.794153 | + | 0.242788i | ||||
\(647\) | −35.8888 | + | 23.9801i | −1.41093 | + | 0.942755i | −0.411424 | + | 0.911444i | \(0.634968\pi\) |
−0.999510 | + | 0.0313112i | \(0.990032\pi\) | |||||||
\(648\) | 2.77762 | + | 0.533714i | 0.109115 | + | 0.0209663i | ||||
\(649\) | −0.302992 | + | 0.453460i | −0.0118935 | + | 0.0177998i | ||||
\(650\) | −2.11061 | − | 3.92814i | −0.0827851 | − | 0.154074i | ||||
\(651\) | 14.8698 | − | 4.51071i | 0.582795 | − | 0.176789i | ||||
\(652\) | −7.67005 | − | 6.23909i | −0.300382 | − | 0.244342i | ||||
\(653\) | −20.4056 | − | 16.7465i | −0.798534 | − | 0.655340i | 0.143952 | − | 0.989585i | \(-0.454019\pi\) |
−0.942486 | + | 0.334245i | \(0.891519\pi\) | |||||||
\(654\) | 6.52723 | − | 2.72029i | 0.255235 | − | 0.106372i | ||||
\(655\) | −38.6917 | − | 16.0266i | −1.51181 | − | 0.626212i | ||||
\(656\) | −21.6673 | + | 33.0453i | −0.845968 | + | 1.29020i | ||||
\(657\) | −11.8728 | + | 4.91788i | −0.463203 | + | 0.191865i | ||||
\(658\) | −9.40440 | + | 9.44533i | −0.366621 | + | 0.368217i | ||||
\(659\) | −1.61618 | − | 16.4093i | −0.0629574 | − | 0.639217i | −0.973945 | − | 0.226784i | \(-0.927179\pi\) |
0.910988 | − | 0.412433i | \(-0.135321\pi\) | |||||||
\(660\) | 2.62633 | + | 1.38917i | 0.102230 | + | 0.0540733i | ||||
\(661\) | −1.23372 | + | 2.30813i | −0.0479862 | + | 0.0897759i | −0.904771 | − | 0.425898i | \(-0.859958\pi\) |
0.856785 | + | 0.515674i | \(0.172458\pi\) | |||||||
\(662\) | 42.2043 | − | 4.24932i | 1.64032 | − | 0.165154i | ||||
\(663\) | −13.1065 | + | 2.60705i | −0.509016 | + | 0.101250i | ||||
\(664\) | 9.16695 | − | 17.4222i | 0.355747 | − | 0.676114i | ||||
\(665\) | 2.32870 | − | 11.7072i | 0.0903031 | − | 0.453984i | ||||
\(666\) | 0.585480 | + | 0.710258i | 0.0226869 | + | 0.0275220i | ||||
\(667\) | −0.530965 | + | 5.39097i | −0.0205590 | + | 0.208739i | ||||
\(668\) | 18.1440 | + | 12.0098i | 0.702011 | + | 0.464671i | ||||
\(669\) | 2.30753 | − | 7.60691i | 0.0892143 | − | 0.294100i | ||||
\(670\) | 17.4989 | + | 11.6375i | 0.676041 | + | 0.449595i | ||||
\(671\) | 3.37027 | + | 3.37027i | 0.130108 | + | 0.130108i | ||||
\(672\) | 1.42632 | + | 13.0297i | 0.0550217 | + | 0.502632i | ||||
\(673\) | 21.9818 | − | 21.9818i | 0.847337 | − | 0.847337i | −0.142463 | − | 0.989800i | \(-0.545502\pi\) |
0.989800 | + | 0.142463i | \(0.0455023\pi\) | |||||||
\(674\) | −2.77101 | + | 0.557447i | −0.106735 | + | 0.0214720i | ||||
\(675\) | 1.25617 | + | 0.381056i | 0.0483501 | + | 0.0146668i | ||||
\(676\) | −2.75943 | + | 14.1945i | −0.106132 | + | 0.545944i | ||||
\(677\) | −40.7515 | − | 4.01368i | −1.56621 | − | 0.154258i | −0.722619 | − | 0.691246i | \(-0.757062\pi\) |
−0.843590 | + | 0.536988i | \(0.819562\pi\) | |||||||
\(678\) | −0.0315577 | + | 0.327705i | −0.00121197 | + | 0.0125854i | ||||
\(679\) | −38.6358 | − | 7.68514i | −1.48271 | − | 0.294929i | ||||
\(680\) | −26.5544 | + | 14.4168i | −1.01831 | + | 0.552860i | ||||
\(681\) | −3.98842 | − | 20.0512i | −0.152837 | − | 0.768362i | ||||
\(682\) | −4.64224 | + | 5.68170i | −0.177761 | + | 0.217564i | ||||
\(683\) | −12.1659 | − | 6.50280i | −0.465515 | − | 0.248823i | 0.221926 | − | 0.975064i | \(-0.428766\pi\) |
−0.687440 | + | 0.726241i | \(0.741266\pi\) | |||||||
\(684\) | 3.42179 | + | 4.13273i | 0.130835 | + | 0.158019i | ||||
\(685\) | −36.3484 | + | 3.58001i | −1.38880 | + | 0.136785i | ||||
\(686\) | 28.2828 | − | 0.0614195i | 1.07984 | − | 0.00234501i | ||||
\(687\) | 7.54281 | + | 18.2100i | 0.287776 | + | 0.694753i | ||||
\(688\) | −5.10834 | − | 16.3280i | −0.194753 | − | 0.622498i | ||||
\(689\) | −11.4898 | + | 27.7389i | −0.437728 | + | 1.05677i | ||||
\(690\) | −4.21388 | + | 10.2360i | −0.160420 | + | 0.389679i | ||||
\(691\) | 18.7989 | − | 22.9065i | 0.715145 | − | 0.871406i | −0.280948 | − | 0.959723i | \(-0.590649\pi\) |
0.996092 | + | 0.0883169i | \(0.0281488\pi\) | |||||||
\(692\) | 4.30787 | + | 1.28637i | 0.163761 | + | 0.0489006i | ||||
\(693\) | −0.520358 | − | 1.71539i | −0.0197668 | − | 0.0651623i | ||||
\(694\) | −9.91140 | + | 32.9308i | −0.376231 | + | 1.25003i | ||||
\(695\) | −20.2279 | − | 13.5158i | −0.767286 | − | 0.512684i | ||||
\(696\) | 3.48199 | + | 1.41578i | 0.131985 | + | 0.0536651i | ||||
\(697\) | 30.5335 | + | 45.6966i | 1.15654 | + | 1.73088i | ||||
\(698\) | −15.1189 | + | 28.4338i | −0.572259 | + | 1.07624i | ||||
\(699\) | 12.2792 | − | 10.0773i | 0.464444 | − | 0.381159i | ||||
\(700\) | 0.0264213 | + | 6.08327i | 0.000998631 | + | 0.229926i | ||||
\(701\) | −8.50790 | − | 15.9172i | −0.321339 | − | 0.601183i | 0.668445 | − | 0.743762i | \(-0.266960\pi\) |
−0.989783 | + | 0.142579i | \(0.954460\pi\) | |||||||
\(702\) | 1.89341 | + | 2.82041i | 0.0714622 | + | 0.106450i | ||||
\(703\) | 1.74610i | 0.0658553i | ||||||||
\(704\) | −3.98827 | − | 4.73261i | −0.150314 | − | 0.178367i | ||||
\(705\) | 7.81059i | 0.294164i | ||||||||
\(706\) | −14.0008 | + | 9.39907i | −0.526926 | + | 0.353739i | ||||
\(707\) | −14.3901 | − | 26.9220i | −0.541196 | − | 1.01251i | ||||
\(708\) | −0.992616 | + | 1.00128i | −0.0373048 | + | 0.0376303i | ||||
\(709\) | −11.8669 | + | 9.73892i | −0.445671 | + | 0.365753i | −0.830298 | − | 0.557319i | \(-0.811830\pi\) |
0.384627 | + | 0.923072i | \(0.374330\pi\) | |||||||
\(710\) | 9.53342 | + | 5.06913i | 0.357783 | + | 0.190241i | ||||
\(711\) | −3.19189 | − | 4.77699i | −0.119705 | − | 0.179151i | ||||
\(712\) | −9.43450 | + | 9.55824i | −0.353573 | + | 0.358210i | ||||
\(713\) | −22.7289 | − | 15.1869i | −0.851203 | − | 0.568755i | ||||
\(714\) | 17.4567 | + | 5.25407i | 0.653301 | + | 0.196629i | ||||
\(715\) | 1.03584 | + | 3.41471i | 0.0387382 | + | 0.127703i | ||||
\(716\) | 23.6640 | − | 12.7811i | 0.884367 | − | 0.477654i | ||||
\(717\) | −7.68073 | + | 9.35899i | −0.286842 | + | 0.349518i | ||||
\(718\) | 12.4723 | + | 5.13448i | 0.465461 | + | 0.191617i | ||||
\(719\) | 5.20479 | − | 12.5655i | 0.194106 | − | 0.468613i | −0.796621 | − | 0.604479i | \(-0.793382\pi\) |
0.990727 | + | 0.135866i | \(0.0433815\pi\) | |||||||
\(720\) | 5.97955 | + | 4.82098i | 0.222845 | + | 0.179667i | ||||
\(721\) | 3.01548 | + | 7.28002i | 0.112303 | + | 0.271122i | ||||
\(722\) | −0.0362485 | − | 16.6919i | −0.00134903 | − | 0.621208i | ||||
\(723\) | 1.35109 | − | 0.133070i | 0.0502474 | − | 0.00494894i | ||||
\(724\) | −1.48334 | + | 15.7621i | −0.0551277 | + | 0.585793i | ||||
\(725\) | 1.53851 | + | 0.822352i | 0.0571389 | + | 0.0305414i | ||||
\(726\) | −11.3912 | − | 9.30717i | −0.422766 | − | 0.345422i | ||||
\(727\) | 5.49311 | + | 27.6157i | 0.203728 | + | 1.02421i | 0.938337 | + | 0.345721i | \(0.112366\pi\) |
−0.734609 | + | 0.678491i | \(0.762634\pi\) | |||||||
\(728\) | −9.90747 | + | 12.2339i | −0.367195 | + | 0.453420i | ||||
\(729\) | −0.980785 | − | 0.195090i | −0.0363254 | − | 0.00722557i | ||||
\(730\) | −34.7379 | − | 3.34523i | −1.28571 | − | 0.123813i | ||||
\(731\) | −23.6802 | − | 2.33229i | −0.875843 | − | 0.0862630i | ||||
\(732\) | 6.89013 | + | 10.2155i | 0.254666 | + | 0.377575i | ||||
\(733\) | −2.02255 | − | 0.613535i | −0.0747047 | − | 0.0226614i | 0.252711 | − | 0.967542i | \(-0.418678\pi\) |
−0.327416 | + | 0.944880i | \(0.606178\pi\) | |||||||
\(734\) | 8.44872 | + | 41.9977i | 0.311848 | + | 1.55016i | ||||
\(735\) | 2.21459 | − | 2.21459i | 0.0816863 | − | 0.0816863i | ||||
\(736\) | 16.1269 | − | 16.4809i | 0.594444 | − | 0.607495i | ||||
\(737\) | 4.23333 | + | 4.23333i | 0.155937 | + | 0.155937i | ||||
\(738\) | 7.73652 | − | 11.6331i | 0.284785 | − | 0.428221i | ||||
\(739\) | 13.9553 | − | 46.0044i | 0.513353 | − | 1.69230i | −0.190275 | − | 0.981731i | \(-0.560938\pi\) |
0.703628 | − | 0.710568i | \(-0.251562\pi\) | |||||||
\(740\) | 0.498297 | + | 2.44946i | 0.0183178 | + | 0.0900440i | ||||
\(741\) | −0.631628 | + | 6.41303i | −0.0232034 | + | 0.235588i | ||||
\(742\) | 31.6055 | − | 26.0530i | 1.16027 | − | 0.956437i | ||||
\(743\) | −3.56605 | + | 17.9277i | −0.130826 | + | 0.657705i | 0.858598 | + | 0.512650i | \(0.171336\pi\) |
−0.989424 | + | 0.145055i | \(0.953664\pi\) | |||||||
\(744\) | −14.5837 | + | 12.1284i | −0.534664 | + | 0.444648i | ||||
\(745\) | 13.6564 | − | 2.71643i | 0.500333 | − | 0.0995224i | ||||
\(746\) | 1.10047 | + | 10.9299i | 0.0402912 | + | 0.400172i | ||||
\(747\) | −3.28107 | + | 6.13845i | −0.120048 | + | 0.224594i | ||||
\(748\) | −8.22623 | + | 2.53447i | −0.300781 | + | 0.0926693i | ||||
\(749\) | 0.530919 | + | 5.39051i | 0.0193994 | + | 0.196965i | ||||
\(750\) | 12.1482 | + | 12.0955i | 0.443588 | + | 0.441666i | ||||
\(751\) | 22.8622 | − | 9.46982i | 0.834252 | − | 0.345559i | 0.0756676 | − | 0.997133i | \(-0.475891\pi\) |
0.758585 | + | 0.651575i | \(0.225891\pi\) | |||||||
\(752\) | 6.09548 | − | 15.0851i | 0.222279 | − | 0.550097i | ||||
\(753\) | 19.7719 | + | 8.18980i | 0.720529 | + | 0.298453i | ||||
\(754\) | 1.73666 | + | 4.16704i | 0.0632453 | + | 0.151755i | ||||
\(755\) | 28.3810 | + | 23.2917i | 1.03289 | + | 0.847671i | ||||
\(756\) | −0.474259 | − | 4.60989i | −0.0172486 | − | 0.167660i | ||||
\(757\) | 32.8521 | − | 9.96557i | 1.19403 | − | 0.362205i | 0.370151 | − | 0.928972i | \(-0.379306\pi\) |
0.823878 | + | 0.566767i | \(0.191806\pi\) | |||||||
\(758\) | −6.23112 | + | 3.34802i | −0.226325 | + | 0.121606i | ||||
\(759\) | −1.75197 | + | 2.62201i | −0.0635926 | + | 0.0951730i | ||||
\(760\) | 2.93561 | + | 14.2718i | 0.106486 | + | 0.517691i | ||||
\(761\) | 38.7401 | − | 25.8853i | 1.40433 | − | 0.938342i | 0.404612 | − | 0.914489i | \(-0.367407\pi\) |
0.999715 | − | 0.0238530i | \(-0.00759338\pi\) | |||||||
\(762\) | −8.24463 | − | 26.9679i | −0.298672 | − | 0.976946i | ||||
\(763\) | −7.35014 | − | 8.95617i | −0.266093 | − | 0.324235i | ||||
\(764\) | −8.69535 | + | 21.2531i | −0.314587 | + | 0.768908i | ||||
\(765\) | 9.42140 | − | 5.03584i | 0.340631 | − | 0.182071i | ||||
\(766\) | −6.08418 | + | 30.9382i | −0.219830 | + | 1.11784i | ||||
\(767\) | −1.69334 | −0.0611429 | ||||||||
\(768\) | −7.78634 | − | 13.9776i | −0.280965 | − | 0.504373i | ||||
\(769\) | −50.9128 | −1.83596 | −0.917982 | − | 0.396623i | \(-0.870182\pi\) | ||||
−0.917982 | + | 0.396623i | \(0.870182\pi\) | |||||||
\(770\) | 0.939323 | − | 4.77648i | 0.0338508 | − | 0.172132i | ||||
\(771\) | −18.7306 | + | 10.0117i | −0.674568 | + | 0.360564i | ||||
\(772\) | −12.8226 | + | 31.3409i | −0.461497 | + | 1.12798i | ||||
\(773\) | −5.93005 | − | 7.22579i | −0.213289 | − | 0.259894i | 0.655365 | − | 0.755312i | \(-0.272515\pi\) |
−0.868654 | + | 0.495418i | \(0.835015\pi\) | |||||||
\(774\) | 1.76842 | + | 5.78446i | 0.0635646 | + | 0.207918i | ||||
\(775\) | −7.31957 | + | 4.89078i | −0.262927 | + | 0.175682i | ||||
\(776\) | 47.0995 | − | 9.68807i | 1.69077 | − | 0.347781i | ||||
\(777\) | 0.837872 | − | 1.25396i | 0.0300585 | − | 0.0449857i | ||||
\(778\) | −20.8093 | + | 11.1810i | −0.746051 | + | 0.400858i | ||||
\(779\) | 25.3611 | − | 7.69320i | 0.908654 | − | 0.275637i | ||||
\(780\) | 0.944075 | + | 9.17658i | 0.0338033 | + | 0.328574i | ||||
\(781\) | 2.37773 | + | 1.95136i | 0.0850820 | + | 0.0698250i | ||||
\(782\) | −12.3371 | − | 29.6024i | −0.441173 | − | 1.05858i | ||||
\(783\) | −1.22778 | − | 0.508565i | −0.0438774 | − | 0.0181746i | ||||
\(784\) | −6.00547 | + | 2.54889i | −0.214481 | + | 0.0910317i | ||||
\(785\) | −20.9431 | + | 8.67491i | −0.747491 | + | 0.309621i | ||||
\(786\) | −21.8569 | − | 21.7622i | −0.779610 | − | 0.776231i | ||||
\(787\) | −3.53873 | − | 35.9293i | −0.126142 | − | 1.28074i | −0.824857 | − | 0.565341i | \(-0.808744\pi\) |
0.698715 | − | 0.715400i | \(-0.253756\pi\) | |||||||
\(788\) | −30.6628 | + | 9.44709i | −1.09232 | + | 0.336539i | ||||
\(789\) | −9.87755 | + | 18.4796i | −0.351650 | + | 0.657891i | ||||
\(790\) | −1.56297 | − | 15.5234i | −0.0556080 | − | 0.552299i | ||||
\(791\) | 0.529046 | − | 0.105234i | 0.0188107 | − | 0.00374168i | ||||
\(792\) | 1.39914 | + | 1.68238i | 0.0497161 | + | 0.0597808i | ||||
\(793\) | −2.88714 | + | 14.5146i | −0.102525 | + | 0.515429i | ||||
\(794\) | 28.9311 | − | 23.8485i | 1.02673 | − | 0.846351i | ||||
\(795\) | 2.35260 | − | 23.8863i | 0.0834381 | − | 0.847161i | ||||
\(796\) | −3.88406 | − | 19.0927i | −0.137667 | − | 0.676724i | ||||
\(797\) | 1.56653 | − | 5.16415i | 0.0554893 | − | 0.182924i | −0.924815 | − | 0.380418i | \(-0.875780\pi\) |
0.980304 | + | 0.197494i | \(0.0632803\pi\) | |||||||
\(798\) | 4.86813 | − | 7.32004i | 0.172330 | − | 0.259126i | ||||
\(799\) | −16.0009 | − | 16.0009i | −0.566072 | − | 0.566072i | ||||
\(800\) | −2.91603 | − | 6.82923i | −0.103097 | − | 0.241450i | ||||
\(801\) | 3.35755 | − | 3.35755i | 0.118633 | − | 0.118633i | ||||
\(802\) | 2.95348 | + | 14.6814i | 0.104291 | + | 0.518419i | ||||
\(803\) | −9.51382 | − | 2.88599i | −0.335735 | − | 0.101844i | ||||
\(804\) | 8.65455 | + | 12.8315i | 0.305222 | + | 0.452530i | ||||
\(805\) | 18.0494 | + | 1.77771i | 0.636156 | + | 0.0626559i | ||||
\(806\) | −22.6761 | − | 2.18369i | −0.798731 | − | 0.0769171i | ||||
\(807\) | −24.1206 | − | 4.79789i | −0.849087 | − | 0.168894i | ||||
\(808\) | 28.9579 | + | 23.4511i | 1.01874 | + | 0.825008i | ||||
\(809\) | 2.66522 | + | 13.3990i | 0.0937041 | + | 0.471082i | 0.998934 | + | 0.0461603i | \(0.0146985\pi\) |
−0.905230 | + | 0.424922i | \(0.860302\pi\) | |||||||
\(810\) | −2.10294 | − | 1.71821i | −0.0738898 | − | 0.0603717i | ||||
\(811\) | −42.1506 | − | 22.5300i | −1.48011 | − | 0.791134i | −0.483652 | − | 0.875260i | \(-0.660690\pi\) |
−0.996455 | + | 0.0841264i | \(0.973190\pi\) | |||||||
\(812\) | 0.577025 | − | 6.13153i | 0.0202496 | − | 0.215174i | ||||
\(813\) | −30.0066 | + | 2.95539i | −1.05238 | + | 0.103650i | ||||
\(814\) | 0.00154640 | + | 0.712094i | 5.42013e−5 | + | 0.0249589i | ||||
\(815\) | 3.63275 | + | 8.77023i | 0.127250 | + | 0.307208i | ||||
\(816\) | −22.1262 | + | 2.37347i | −0.774572 | + | 0.0830882i | ||||
\(817\) | −4.39103 | + | 10.6009i | −0.153623 | + | 0.370878i | ||||
\(818\) | 4.25818 | + | 1.75297i | 0.148884 | + | 0.0612913i | ||||
\(819\) | 3.53092 | − | 4.30244i | 0.123380 | − | 0.150339i | ||||
\(820\) | 33.3816 | − | 18.0297i | 1.16574 | − | 0.629623i | ||||
\(821\) | 2.36970 | + | 7.81186i | 0.0827031 | + | 0.272636i | 0.988533 | − | 0.151006i | \(-0.0482514\pi\) |
−0.905830 | + | 0.423642i | \(0.860751\pi\) | |||||||
\(822\) | −25.7580 | − | 7.75256i | −0.898413 | − | 0.270402i | ||||
\(823\) | −16.2051 | − | 10.8279i | −0.564874 | − | 0.377437i | 0.240099 | − | 0.970748i | \(-0.422820\pi\) |
−0.804973 | + | 0.593312i | \(0.797820\pi\) | |||||||
\(824\) | −6.84560 | − | 6.75698i | −0.238478 | − | 0.235391i | ||||
\(825\) | 0.564202 | + | 0.844389i | 0.0196430 | + | 0.0293978i | ||||
\(826\) | 2.03965 | + | 1.08453i | 0.0709684 | + | 0.0377355i | ||||
\(827\) | −5.77689 | + | 4.74097i | −0.200882 | + | 0.164860i | −0.729456 | − | 0.684027i | \(-0.760227\pi\) |
0.528574 | + | 0.848887i | \(0.322727\pi\) | |||||||
\(828\) | −5.73955 | + | 5.78962i | −0.199463 | + | 0.201203i | ||||
\(829\) | 17.6403 | + | 33.0027i | 0.612673 | + | 1.14623i | 0.976653 | + | 0.214824i | \(0.0689178\pi\) |
−0.363980 | + | 0.931407i | \(0.618582\pi\) | |||||||
\(830\) | −15.6932 | + | 10.5353i | −0.544721 | + | 0.365684i | ||||
\(831\) | − | 4.58155i | − | 0.158932i | ||||||
\(832\) | 5.33817 | − | 18.4601i | 0.185068 | − | 0.639989i | ||||
\(833\) | 9.07371i | 0.314385i | ||||||||
\(834\) | −9.98645 | − | 14.8757i | −0.345802 | − | 0.515105i | ||||
\(835\) | −9.84787 | − | 18.4241i | −0.340800 | − | 0.637591i | ||||
\(836\) | 0.0180281 | + | 4.15082i | 0.000623516 | + | 0.143559i | ||||
\(837\) | 5.18394 | − | 4.25435i | 0.179183 | − | 0.147052i | ||||
\(838\) | −14.0372 | + | 26.3995i | −0.484907 | + | 0.911955i | ||||
\(839\) | 10.4109 | + | 15.5810i | 0.359424 | + | 0.537916i | 0.966480 | − | 0.256743i | \(-0.0826494\pi\) |
−0.607055 | + | 0.794659i | \(0.707649\pi\) | |||||||
\(840\) | 4.74014 | − | 11.6580i | 0.163550 | − | 0.402238i | ||||
\(841\) | 22.6442 | + | 15.1303i | 0.780833 | + | 0.521736i | ||||
\(842\) | −6.59507 | + | 21.9122i | −0.227281 | + | 0.755145i | ||||
\(843\) | 3.30734 | + | 10.9028i | 0.113911 | + | 0.375513i | ||||
\(844\) | −38.9640 | − | 11.6351i | −1.34120 | − | 0.400495i | ||||
\(845\) | 8.80763 | − | 10.7321i | 0.302992 | − | 0.369197i | ||||
\(846\) | −2.18978 | + | 5.31923i | −0.0752861 | + | 0.182879i | ||||
\(847\) | −9.22322 | + | 22.2668i | −0.316914 | + | 0.765097i | ||||
\(848\) | −23.1849 | + | 44.2972i | −0.796173 | + | 1.52117i | ||||
\(849\) | −4.58191 | − | 11.0617i | −0.157251 | − | 0.379637i | ||||
\(850\) | −10.3278 | + | 0.0224282i | −0.354242 | + | 0.000769281i | ||||
\(851\) | −2.64029 | + | 0.260046i | −0.0905081 | + | 0.00891427i | ||||
\(852\) | 5.07135 | + | 6.12501i | 0.173742 | + | 0.209840i | ||||
\(853\) | 26.8976 | + | 14.3770i | 0.920955 | + | 0.492261i | 0.862516 | − | 0.506030i | \(-0.168888\pi\) |
0.0584390 | + | 0.998291i | \(0.481388\pi\) | |||||||
\(854\) | 12.7737 | − | 15.6339i | 0.437108 | − | 0.534982i | ||||
\(855\) | −1.00500 | − | 5.05248i | −0.0343703 | − | 0.172791i | ||||
\(856\) | −3.15474 | − | 5.81073i | −0.107827 | − | 0.198607i | ||||
\(857\) | 37.0168 | + | 7.36310i | 1.26447 | + | 0.251519i | 0.781382 | − | 0.624053i | \(-0.214515\pi\) |
0.483088 | + | 0.875572i | \(0.339515\pi\) | |||||||
\(858\) | −0.251911 | + | 2.61592i | −0.00860011 | + | 0.0893061i | ||||
\(859\) | −38.0370 | − | 3.74632i | −1.29781 | − | 0.127823i | −0.574588 | − | 0.818443i | \(-0.694838\pi\) |
−0.723218 | + | 0.690620i | \(0.757338\pi\) | |||||||
\(860\) | −3.13457 | + | 16.1242i | −0.106888 | + | 0.549832i | ||||
\(861\) | −21.9047 | − | 6.64473i | −0.746511 | − | 0.226452i | ||||
\(862\) | 48.7839 | − | 9.81390i | 1.66159 | − | 0.334263i | ||||
\(863\) | 12.5928 | − | 12.5928i | 0.428663 | − | 0.428663i | −0.459510 | − | 0.888173i | \(-0.651975\pi\) |
0.888173 | + | 0.459510i | \(0.151975\pi\) | |||||||
\(864\) | 2.72063 | + | 4.95965i | 0.0925579 | + | 0.168731i | ||||
\(865\) | −3.05225 | − | 3.05225i | −0.103780 | − | 0.103780i | ||||
\(866\) | −16.6501 | − | 11.0730i | −0.565794 | − | 0.376277i | ||||
\(867\) | −4.04951 | + | 13.3494i | −0.137528 | + | 0.453370i | ||||
\(868\) | 25.9150 | + | 17.1535i | 0.879614 | + | 0.582229i | ||||
\(869\) | 0.435654 | − | 4.42327i | 0.0147786 | − | 0.150049i | ||||
\(870\) | −2.29552 | − | 2.78475i | −0.0778254 | − | 0.0944117i | ||||
\(871\) | −3.62647 | + | 18.2315i | −0.122878 | + | 0.617751i | ||||
\(872\) | 12.5160 | + | 6.58547i | 0.423845 | + | 0.223012i | ||||
\(873\) | −16.6741 | + | 3.31669i | −0.564334 | + | 0.112253i | ||||
\(874\) | −15.3871 | + | 1.54925i | −0.520478 | + | 0.0524041i | ||||
\(875\) | 13.2404 | − | 24.7711i | 0.447609 | − | 0.837417i | ||||
\(876\) | −22.7196 | − | 12.0173i | −0.767625 | − | 0.406028i | ||||
\(877\) | −2.22192 | − | 22.5595i | −0.0750288 | − | 0.761781i | −0.956925 | − | 0.290336i | \(-0.906233\pi\) |
0.881896 | − | 0.471444i | \(-0.156267\pi\) | |||||||
\(878\) | 18.8047 | − | 18.8866i | 0.634628 | − | 0.637390i | ||||
\(879\) | 23.6060 | − | 9.77793i | 0.796211 | − | 0.329802i | ||||
\(880\) | 1.20984 | + | 5.81771i | 0.0407838 | + | 0.196115i | ||||
\(881\) | 37.5686 | + | 15.5614i | 1.26572 | + | 0.524278i | 0.911660 | − | 0.410945i | \(-0.134801\pi\) |
0.354059 | + | 0.935223i | \(0.384801\pi\) | |||||||
\(882\) | 2.12908 | − | 0.887316i | 0.0716899 | − | 0.0298775i | ||||
\(883\) | −15.3710 | − | 12.6146i | −0.517274 | − | 0.424516i | 0.339194 | − | 0.940717i | \(-0.389846\pi\) |
−0.856468 | + | 0.516201i | \(0.827346\pi\) | |||||||
\(884\) | −20.7334 | − | 16.8653i | −0.697340 | − | 0.567241i | ||||
\(885\) | 1.29539 | − | 0.392952i | 0.0435440 | − | 0.0132089i | ||||
\(886\) | −9.31410 | − | 17.3348i | −0.312913 | − | 0.582374i | ||||
\(887\) | 18.0026 | − | 26.9428i | 0.604469 | − | 0.904652i | −0.395435 | − | 0.918494i | \(-0.629406\pi\) |
0.999904 | + | 0.0138417i | \(0.00440608\pi\) | |||||||
\(888\) | −0.347377 | + | 1.80786i | −0.0116572 | + | 0.0606677i | ||||
\(889\) | −38.4174 | + | 25.6697i | −1.28848 | + | 0.860934i | ||||
\(890\) | 12.3312 | − | 3.76988i | 0.413341 | − | 0.126367i | ||||
\(891\) | −0.490784 | − | 0.598022i | −0.0164419 | − | 0.0200345i | ||||
\(892\) | 14.6616 | − | 6.14779i | 0.490908 | − | 0.205843i | ||||
\(893\) | −9.62355 | + | 5.14390i | −0.322040 | + | 0.172134i | ||||
\(894\) | 10.0620 | + | 1.97875i | 0.336524 | + | 0.0661793i | ||||
\(895\) | −25.8224 | −0.863149 | ||||||||
\(896\) | −18.2530 | + | 18.8165i | −0.609789 | + | 0.628616i | ||||
\(897\) | −9.79129 | −0.326922 | ||||||||
\(898\) | 54.5079 | + | 10.7193i | 1.81895 | + | 0.357707i | ||||
\(899\) | 7.85979 | − | 4.20114i | 0.262139 | − | 0.140116i | ||||
\(900\) | 1.01522 | + | 2.42116i | 0.0338407 | + | 0.0807054i | ||||
\(901\) | 44.1145 | + | 53.7537i | 1.46967 | + | 1.79079i | ||||
\(902\) | 10.3359 | − | 3.15990i | 0.344149 | − | 0.105213i | ||||
\(903\) | 8.24030 | − | 5.50599i | 0.274220 | − | 0.183228i | ||||
\(904\) | −0.545080 | + | 0.369370i | −0.0181291 | + | 0.0122851i | ||||
\(905\) | 8.44484 | − | 12.6386i | 0.280716 | − | 0.420121i | ||||
\(906\) | 12.7982 | + | 23.8192i | 0.425192 | + | 0.791340i | ||||
\(907\) | −55.4620 | + | 16.8242i | −1.84159 | + | 0.558639i | −0.841762 | + | 0.539848i | \(0.818482\pi\) |
−0.999823 | + | 0.0187906i | \(0.994018\pi\) | |||||||
\(908\) | 25.8015 | − | 31.7192i | 0.856254 | − | 1.05264i | ||||
\(909\) | −10.1839 | − | 8.35775i | −0.337780 | − | 0.277209i | ||||
\(910\) | 13.9516 | − | 5.81445i | 0.462489 | − | 0.192747i | ||||
\(911\) | −1.80894 | − | 0.749287i | −0.0599328 | − | 0.0248250i | 0.352516 | − | 0.935806i | \(-0.385326\pi\) |
−0.412448 | + | 0.910981i | \(0.635326\pi\) | |||||||
\(912\) | −2.00200 | + | 10.5425i | −0.0662927 | + | 0.349097i | ||||
\(913\) | −4.97480 | + | 2.06063i | −0.164642 | + | 0.0681969i | ||||
\(914\) | 3.50504 | − | 3.52030i | 0.115936 | − | 0.116441i | ||||
\(915\) | −1.15959 | − | 11.7735i | −0.0383349 | − | 0.389221i | ||||
\(916\) | −18.4316 | + | 34.8463i | −0.608997 | + | 1.15135i | ||||
\(917\) | −23.8222 | + | 44.5681i | −0.786677 | + | 1.47177i | ||||
\(918\) | 7.82809 | − | 0.788168i | 0.258366 | − | 0.0260134i | ||||
\(919\) | −39.5365 | + | 7.86430i | −1.30419 | + | 0.259419i | −0.797819 | − | 0.602897i | \(-0.794013\pi\) |
−0.506370 | + | 0.862316i | \(0.669013\pi\) | |||||||
\(920\) | −21.1433 | + | 6.56447i | −0.697074 | + | 0.216424i | ||||
\(921\) | 0.496526 | − | 2.49621i | 0.0163611 | − | 0.0822528i | ||||
\(922\) | 25.4325 | + | 30.8527i | 0.837574 | + | 1.01608i | ||||
\(923\) | −0.936120 | + | 9.50459i | −0.0308128 | + | 0.312847i | ||||
\(924\) | 1.97884 | − | 2.98957i | 0.0650991 | − | 0.0983497i | ||||
\(925\) | −0.248016 | + | 0.817601i | −0.00815473 | + | 0.0268825i | ||||
\(926\) | −22.0084 | − | 14.6365i | −0.723242 | − | 0.480986i | ||||
\(927\) | 2.40467 | + | 2.40467i | 0.0789798 | + | 0.0789798i | ||||
\(928\) | 2.26024 | + | 7.16982i | 0.0741960 | + | 0.235361i | ||||
\(929\) | −25.1159 | + | 25.1159i | −0.824025 | + | 0.824025i | −0.986683 | − | 0.162657i | \(-0.947993\pi\) |
0.162657 | + | 0.986683i | \(0.447993\pi\) | |||||||
\(930\) | 17.8537 | − | 3.59165i | 0.585447 | − | 0.117775i | ||||
\(931\) | 4.18711 | + | 1.27015i | 0.137227 | + | 0.0416274i | ||||
\(932\) | 31.1861 | + | 6.06262i | 1.02154 | + | 0.198588i | ||||
\(933\) | −12.7103 | − | 1.25186i | −0.416117 | − | 0.0409840i | ||||
\(934\) | 0.213504 | − | 2.21709i | 0.00698608 | − | 0.0725455i | ||||
\(935\) | 8.10571 | + | 1.61233i | 0.265085 | + | 0.0527287i | ||||
\(936\) | −1.92981 | + | 6.51420i | −0.0630777 | + | 0.212923i | ||||
\(937\) | 0.485245 | + | 2.43949i | 0.0158523 | + | 0.0796948i | 0.987902 | − | 0.155082i | \(-0.0495641\pi\) |
−0.972049 | + | 0.234777i | \(0.924564\pi\) | |||||||
\(938\) | 16.0448 | − | 19.6374i | 0.523881 | − | 0.641185i | ||||
\(939\) | −20.7504 | − | 11.0913i | −0.677164 | − | 0.361952i | ||||
\(940\) | −12.0322 | + | 9.96232i | −0.392446 | + | 0.324935i | ||||
\(941\) | 58.9728 | − | 5.80831i | 1.92246 | − | 0.189346i | 0.935844 | − | 0.352415i | \(-0.114639\pi\) |
0.986615 | + | 0.163070i | \(0.0521395\pi\) | |||||||
\(942\) | −16.6949 | + | 0.0362552i | −0.543951 | + | 0.00118126i | ||||
\(943\) | 15.4100 | + | 37.2030i | 0.501819 | + | 1.21150i | ||||
\(944\) | −2.80853 | − | 0.252004i | −0.0914099 | − | 0.00820202i | ||||
\(945\) | −1.70271 | + | 4.11071i | −0.0553892 | + | 0.133721i | ||||
\(946\) | −1.78136 | + | 4.32714i | −0.0579171 | + | 0.140688i | ||||
\(947\) | 3.10136 | − | 3.77902i | 0.100781 | − | 0.122802i | −0.720178 | − | 0.693790i | \(-0.755940\pi\) |
0.820958 | + | 0.570988i | \(0.193440\pi\) | |||||||
\(948\) | 3.28772 | − | 11.0101i | 0.106780 | − | 0.357591i | ||||
\(949\) | −8.96078 | − | 29.5397i | −0.290879 | − | 0.958900i | ||||
\(950\) | −1.43535 | + | 4.76898i | −0.0465690 | + | 0.154726i | ||||
\(951\) | 7.88228 | + | 5.26677i | 0.255600 | + | 0.170787i | ||||
\(952\) | 14.1720 | + | 33.5935i | 0.459317 | + | 1.08877i | ||||
\(953\) | 6.34935 | + | 9.50247i | 0.205676 | + | 0.307815i | 0.919939 | − | 0.392062i | \(-0.128238\pi\) |
−0.714263 | + | 0.699877i | \(0.753238\pi\) | |||||||
\(954\) | 8.29897 | − | 15.6077i | 0.268689 | − | 0.505318i | ||||
\(955\) | 17.0427 | − | 13.9866i | 0.551490 | − | 0.452596i | ||||
\(956\) | −24.2142 | + | 0.105169i | −0.783142 | + | 0.00340140i | ||||
\(957\) | −0.484646 | − | 0.906709i | −0.0156664 | − | 0.0293097i | ||||
\(958\) | −12.0507 | − | 17.9506i | −0.389339 | − | 0.579957i | ||||
\(959\) | 44.0731i | 1.42320i | ||||||||
\(960\) | 0.200155 | + | 15.3606i | 0.00645999 | + | 0.495760i | ||||
\(961\) | 13.9727i | 0.450731i | ||||||||
\(962\) | −1.83571 | + | 1.23236i | −0.0591857 | + | 0.0397328i | ||||
\(963\) | 1.10196 | + | 2.06162i | 0.0355102 | + | 0.0664349i | ||||
\(964\) | 1.92829 | + | 1.91161i | 0.0621060 | + | 0.0615689i | ||||
\(965\) | 25.1321 | − | 20.6254i | 0.809032 | − | 0.663955i | ||||
\(966\) | 11.7937 | + | 6.27099i | 0.379457 | + | 0.201766i | ||||
\(967\) | 9.23122 | + | 13.8155i | 0.296856 | + | 0.444276i | 0.949675 | − | 0.313238i | \(-0.101414\pi\) |
−0.652819 | + | 0.757514i | \(0.726414\pi\) | |||||||
\(968\) | −0.191665 | − | 29.4193i | −0.00616035 | − | 0.945571i | ||||
\(969\) | 12.4095 | + | 8.29176i | 0.398650 | + | 0.266370i | ||||
\(970\) | −44.2088 | − | 13.3058i | −1.41946 | − | 0.427224i | ||||
\(971\) | 0.630069 | + | 2.07706i | 0.0202199 | + | 0.0666560i | 0.966470 | − | 0.256781i | \(-0.0826618\pi\) |
−0.946250 | + | 0.323437i | \(0.895162\pi\) | |||||||
\(972\) | −0.950445 | − | 1.75973i | −0.0304855 | − | 0.0564434i | ||||
\(973\) | −18.6232 | + | 22.6924i | −0.597032 | + | 0.727486i | ||||
\(974\) | 32.6974 | + | 13.4606i | 1.04769 | + | 0.431305i | ||||
\(975\) | −1.20667 | + | 2.91315i | −0.0386442 | + | 0.0932955i | ||||
\(976\) | −6.94862 | + | 23.6439i | −0.222420 | + | 0.756824i | ||||
\(977\) | −11.7796 | − | 28.4384i | −0.376861 | − | 0.909824i | −0.992550 | − | 0.121835i | \(-0.961122\pi\) |
0.615689 | − | 0.787989i | \(-0.288878\pi\) | |||||||
\(978\) | 0.0151824 | + | 6.99126i | 0.000485479 | + | 0.223556i | ||||
\(979\) | 3.65571 | − | 0.360056i | 0.116837 | − | 0.0115074i | ||||
\(980\) | 6.23625 | + | 0.586880i | 0.199210 | + | 0.0187472i | ||||
\(981\) | −4.40981 | − | 2.35709i | −0.140794 | − | 0.0752562i | ||||
\(982\) | 5.86712 | + | 4.79374i | 0.187227 | + | 0.152974i | ||||
\(983\) | −0.447080 | − | 2.24762i | −0.0142596 | − | 0.0716881i | 0.973000 | − | 0.230804i | \(-0.0741356\pi\) |
−0.987260 | + | 0.159116i | \(0.949136\pi\) | |||||||
\(984\) | 27.7886 | − | 2.91986i | 0.885869 | − | 0.0930816i | ||||
\(985\) | 30.2136 | + | 6.00986i | 0.962685 | + | 0.191490i | ||||
\(986\) | 10.4075 | + | 1.00224i | 0.331444 | + | 0.0319178i | ||||
\(987\) | 9.37950 | + | 0.923800i | 0.298553 | + | 0.0294049i | ||||
\(988\) | −10.6849 | + | 7.20673i | −0.339931 | + | 0.229277i | ||||
\(989\) | −16.6837 | − | 5.06094i | −0.530510 | − | 0.160928i | ||||
\(990\) | −0.414335 | − | 2.05962i | −0.0131684 | − | 0.0654589i | ||||
\(991\) | 32.1317 | − | 32.1317i | 1.02070 | − | 1.02070i | 0.0209154 | − | 0.999781i | \(-0.493342\pi\) |
0.999781 | − | 0.0209154i | \(-0.00665808\pi\) | |||||||
\(992\) | −37.2850 | − | 6.99648i | −1.18380 | − | 0.222139i | ||||
\(993\) | −21.2088 | − | 21.2088i | −0.673042 | − | 0.673042i | ||||
\(994\) | 7.21494 | − | 10.8488i | 0.228844 | − | 0.344104i | ||||
\(995\) | −5.43028 | + | 17.9012i | −0.172151 | + | 0.567507i | ||||
\(996\) | −13.6412 | + | 2.77505i | −0.432239 | + | 0.0879309i | ||||
\(997\) | −2.75907 | + | 28.0133i | −0.0873806 | + | 0.887191i | 0.847161 | + | 0.531336i | \(0.178310\pi\) |
−0.934542 | + | 0.355854i | \(0.884190\pi\) | |||||||
\(998\) | 7.95238 | − | 6.55530i | 0.251728 | − | 0.207504i | ||||
\(999\) | 0.126978 | − | 0.638360i | 0.00401740 | − | 0.0201968i |
(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 | 384.2.v.a.229.19 | yes | 512 | |
128.109 | even | 32 | inner | 384.2.v.a.109.19 | ✓ | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.v.a.109.19 | ✓ | 512 | 128.109 | even | 32 | inner | |
384.2.v.a.229.19 | yes | 512 | 1.1 | even | 1 | trivial |