Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(13,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.bb (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 13.2 | ||
Character | \(\chi\) | \(=\) | 552.13 |
Dual form | 552.2.bb.a.85.2 |
$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{7}{11}\right)\) | \(1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39148 | − | 0.252579i | −0.983922 | − | 0.178600i | ||||
\(3\) | −0.540641 | + | 0.841254i | −0.312139 | + | 0.485698i | ||||
\(4\) | 1.87241 | + | 0.702914i | 0.936204 | + | 0.351457i | ||||
\(5\) | −2.13541 | − | 0.975208i | −0.954983 | − | 0.436126i | −0.123912 | − | 0.992293i | \(-0.539544\pi\) |
−0.831070 | + | 0.556167i | \(0.812271\pi\) | |||||||
\(6\) | 0.964771 | − | 1.03403i | 0.393866 | − | 0.422141i | ||||
\(7\) | 0.595694 | + | 0.174912i | 0.225151 | + | 0.0661104i | 0.392362 | − | 0.919811i | \(-0.371658\pi\) |
−0.167211 | + | 0.985921i | \(0.553476\pi\) | |||||||
\(8\) | −2.42787 | − | 1.45102i | −0.858381 | − | 0.513012i | ||||
\(9\) | −0.415415 | − | 0.909632i | −0.138472 | − | 0.303211i | ||||
\(10\) | 2.72505 | + | 1.89634i | 0.861736 | + | 0.599674i | ||||
\(11\) | 1.11157 | + | 0.963180i | 0.335151 | + | 0.290410i | 0.806135 | − | 0.591732i | \(-0.201556\pi\) |
−0.470984 | + | 0.882142i | \(0.656101\pi\) | |||||||
\(12\) | −1.60363 | + | 1.19515i | −0.462928 | + | 0.345009i | ||||
\(13\) | 0.995277 | + | 3.38960i | 0.276040 | + | 0.940106i | 0.974487 | + | 0.224444i | \(0.0720567\pi\) |
−0.698447 | + | 0.715662i | \(0.746125\pi\) | |||||||
\(14\) | −0.784715 | − | 0.393845i | −0.209724 | − | 0.105260i | ||||
\(15\) | 1.97488 | − | 1.26918i | 0.509913 | − | 0.327701i | ||||
\(16\) | 3.01182 | + | 2.63228i | 0.752956 | + | 0.658071i | ||||
\(17\) | −1.11608 | − | 7.76251i | −0.270689 | − | 1.88268i | −0.441321 | − | 0.897349i | \(-0.645490\pi\) |
0.170632 | − | 0.985335i | \(-0.445419\pi\) | |||||||
\(18\) | 0.348286 | + | 1.37066i | 0.0820918 | + | 0.323067i | ||||
\(19\) | −6.09868 | − | 0.876857i | −1.39913 | − | 0.201165i | −0.598885 | − | 0.800835i | \(-0.704389\pi\) |
−0.800247 | + | 0.599670i | \(0.795299\pi\) | |||||||
\(20\) | −3.31287 | − | 3.32699i | −0.740779 | − | 0.743938i | ||||
\(21\) | −0.469202 | + | 0.406566i | −0.102388 | + | 0.0887199i | ||||
\(22\) | −1.30344 | − | 1.62100i | −0.277895 | − | 0.345598i | ||||
\(23\) | 4.79557 | − | 0.0498387i | 0.999946 | − | 0.0103921i | ||||
\(24\) | 2.53328 | − | 1.25797i | 0.517103 | − | 0.256783i | ||||
\(25\) | 0.334628 | + | 0.386181i | 0.0669256 | + | 0.0772362i | ||||
\(26\) | −0.528762 | − | 4.96793i | −0.103699 | − | 0.974292i | ||||
\(27\) | 0.989821 | + | 0.142315i | 0.190491 | + | 0.0273885i | ||||
\(28\) | 0.992435 | + | 0.746228i | 0.187553 | + | 0.141024i | ||||
\(29\) | −1.45547 | + | 0.209266i | −0.270275 | + | 0.0388596i | −0.276120 | − | 0.961123i | \(-0.589049\pi\) |
0.00584489 | + | 0.999983i | \(0.498140\pi\) | |||||||
\(30\) | −3.06857 | + | 1.26722i | −0.560242 | + | 0.231362i | ||||
\(31\) | 5.62873 | − | 3.61737i | 1.01095 | − | 0.649698i | 0.0733112 | − | 0.997309i | \(-0.476643\pi\) |
0.937639 | + | 0.347611i | \(0.113007\pi\) | |||||||
\(32\) | −3.52602 | − | 4.42348i | −0.623318 | − | 0.781968i | ||||
\(33\) | −1.41124 | + | 0.414377i | −0.245665 | + | 0.0721337i | ||||
\(34\) | −0.407645 | + | 11.0832i | −0.0699106 | + | 1.90076i | ||||
\(35\) | −1.10147 | − | 0.954433i | −0.186183 | − | 0.161329i | ||||
\(36\) | −0.138433 | − | 1.99520i | −0.0230722 | − | 0.332534i | ||||
\(37\) | 9.90037 | − | 4.52135i | 1.62761 | − | 0.743305i | 0.628215 | − | 0.778040i | \(-0.283786\pi\) |
0.999397 | + | 0.0347345i | \(0.0110585\pi\) | |||||||
\(38\) | 8.26468 | + | 2.76052i | 1.34071 | + | 0.447816i | ||||
\(39\) | −3.38960 | − | 0.995277i | −0.542771 | − | 0.159372i | ||||
\(40\) | 3.76944 | + | 5.46619i | 0.596001 | + | 0.864280i | ||||
\(41\) | −1.33535 | + | 2.92401i | −0.208546 | + | 0.456653i | −0.984783 | − | 0.173789i | \(-0.944399\pi\) |
0.776237 | + | 0.630442i | \(0.217126\pi\) | |||||||
\(42\) | 0.755573 | − | 0.447216i | 0.116587 | − | 0.0690069i | ||||
\(43\) | 5.83694 | − | 9.08245i | 0.890124 | − | 1.38506i | −0.0325457 | − | 0.999470i | \(-0.510361\pi\) |
0.922670 | − | 0.385590i | \(-0.126002\pi\) | |||||||
\(44\) | 1.40428 | + | 2.58480i | 0.211703 | + | 0.389674i | ||||
\(45\) | 2.34755i | 0.349952i | ||||||||
\(46\) | −6.68551 | − | 1.14191i | −0.985725 | − | 0.168365i | ||||
\(47\) | 10.8617 | 1.58435 | 0.792173 | − | 0.610297i | \(-0.208950\pi\) | ||||
0.792173 | + | 0.610297i | \(0.208950\pi\) | |||||||
\(48\) | −3.84273 | + | 1.11059i | −0.554651 | + | 0.160300i | ||||
\(49\) | −5.56452 | − | 3.57610i | −0.794931 | − | 0.510871i | ||||
\(50\) | −0.368085 | − | 0.621882i | −0.0520551 | − | 0.0879473i | ||||
\(51\) | 7.13363 | + | 3.25782i | 0.998909 | + | 0.456186i | ||||
\(52\) | −0.519034 | + | 7.04631i | −0.0719770 | + | 0.977147i | ||||
\(53\) | −0.599201 | + | 2.04069i | −0.0823066 | + | 0.280311i | −0.990355 | − | 0.138555i | \(-0.955754\pi\) |
0.908048 | + | 0.418866i | \(0.137572\pi\) | |||||||
\(54\) | −1.34137 | − | 0.448035i | −0.182537 | − | 0.0609699i | ||||
\(55\) | −1.43435 | − | 3.14079i | −0.193408 | − | 0.423504i | ||||
\(56\) | −1.19247 | − | 1.28903i | −0.159350 | − | 0.172253i | ||||
\(57\) | 4.03485 | − | 4.65647i | 0.534429 | − | 0.616764i | ||||
\(58\) | 2.07811 | + | 0.0764337i | 0.272870 | + | 0.0100362i | ||||
\(59\) | −2.33650 | − | 7.95737i | −0.304186 | − | 1.03596i | −0.959758 | − | 0.280829i | \(-0.909391\pi\) |
0.655572 | − | 0.755133i | \(-0.272428\pi\) | |||||||
\(60\) | 4.58992 | − | 0.988251i | 0.592556 | − | 0.127583i | ||||
\(61\) | −6.43853 | − | 10.0186i | −0.824370 | − | 1.28274i | −0.956565 | − | 0.291521i | \(-0.905839\pi\) |
0.132195 | − | 0.991224i | \(-0.457798\pi\) | |||||||
\(62\) | −8.74591 | + | 3.61178i | −1.11073 | + | 0.458696i | ||||
\(63\) | −0.0883552 | − | 0.614524i | −0.0111317 | − | 0.0774227i | ||||
\(64\) | 3.78909 | + | 7.04576i | 0.473637 | + | 0.880720i | ||||
\(65\) | 1.18024 | − | 8.20878i | 0.146391 | − | 1.01817i | ||||
\(66\) | 2.06837 | − | 0.220147i | 0.254598 | − | 0.0270982i | ||||
\(67\) | 8.28961 | − | 7.18298i | 1.01274 | − | 0.877541i | 0.0202378 | − | 0.999795i | \(-0.493558\pi\) |
0.992499 | + | 0.122254i | \(0.0390122\pi\) | |||||||
\(68\) | 3.36662 | − | 15.3191i | 0.408262 | − | 1.85771i | ||||
\(69\) | −2.55076 | + | 4.06124i | −0.307075 | + | 0.488916i | ||||
\(70\) | 1.29161 | + | 1.60628i | 0.154376 | + | 0.191987i | ||||
\(71\) | −5.25834 | − | 6.06844i | −0.624050 | − | 0.720192i | 0.352421 | − | 0.935842i | \(-0.385359\pi\) |
−0.976471 | + | 0.215650i | \(0.930813\pi\) | |||||||
\(72\) | −0.311319 | + | 2.81124i | −0.0366893 | + | 0.331308i | ||||
\(73\) | −1.40007 | + | 9.73767i | −0.163865 | + | 1.13971i | 0.727396 | + | 0.686218i | \(0.240730\pi\) |
−0.891261 | + | 0.453490i | \(0.850179\pi\) | |||||||
\(74\) | −14.9181 | + | 3.79072i | −1.73420 | + | 0.440663i | ||||
\(75\) | −0.505790 | + | 0.0727216i | −0.0584036 | + | 0.00839717i | ||||
\(76\) | −10.8029 | − | 5.92868i | −1.23917 | − | 0.680066i | ||||
\(77\) | 0.493684 | + | 0.768187i | 0.0562605 | + | 0.0875430i | ||||
\(78\) | 4.46516 | + | 2.24104i | 0.505580 | + | 0.253748i | ||||
\(79\) | 4.20927 | − | 1.23595i | 0.473580 | − | 0.139056i | −0.0362285 | − | 0.999344i | \(-0.511534\pi\) |
0.509809 | + | 0.860288i | \(0.329716\pi\) | |||||||
\(80\) | −3.86445 | − | 8.55815i | −0.432058 | − | 0.956830i | ||||
\(81\) | −0.654861 | + | 0.755750i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | 2.59665 | − | 3.73140i | 0.286752 | − | 0.412064i | ||||
\(83\) | −1.42948 | + | 0.652820i | −0.156905 | + | 0.0716563i | −0.492320 | − | 0.870414i | \(-0.663851\pi\) |
0.335414 | + | 0.942071i | \(0.391124\pi\) | |||||||
\(84\) | −1.16432 | + | 0.431448i | −0.127037 | + | 0.0470749i | ||||
\(85\) | −5.18677 | + | 17.6645i | −0.562584 | + | 1.91599i | ||||
\(86\) | −10.4160 | + | 11.1637i | −1.12318 | + | 1.20381i | ||||
\(87\) | 0.610843 | − | 1.33756i | 0.0654893 | − | 0.143401i | ||||
\(88\) | −1.30115 | − | 3.95138i | −0.138703 | − | 0.421219i | ||||
\(89\) | 5.06177 | + | 3.25300i | 0.536546 | + | 0.344817i | 0.780687 | − | 0.624923i | \(-0.214869\pi\) |
−0.244141 | + | 0.969740i | \(0.578506\pi\) | |||||||
\(90\) | 0.592941 | − | 3.26656i | 0.0625015 | − | 0.344325i | ||||
\(91\) | 2.19325i | 0.229915i | ||||||||
\(92\) | 9.01430 | + | 3.27756i | 0.939806 | + | 0.341709i | ||||
\(93\) | 6.69089i | 0.693813i | ||||||||
\(94\) | −15.1138 | − | 2.74344i | −1.55887 | − | 0.282964i | ||||
\(95\) | 12.1680 | + | 7.81992i | 1.24841 | + | 0.802307i | ||||
\(96\) | 5.62758 | − | 0.574763i | 0.574362 | − | 0.0586615i | ||||
\(97\) | −4.42028 | + | 9.67906i | −0.448811 | + | 0.982760i | 0.541085 | + | 0.840968i | \(0.318014\pi\) |
−0.989896 | + | 0.141792i | \(0.954714\pi\) | |||||||
\(98\) | 6.83964 | + | 6.38153i | 0.690908 | + | 0.644632i | ||||
\(99\) | 0.414377 | − | 1.41124i | 0.0416464 | − | 0.141835i | ||||
\(100\) | 0.355108 | + | 0.958303i | 0.0355108 | + | 0.0958303i | ||||
\(101\) | −3.41202 | + | 1.55822i | −0.339509 | + | 0.155048i | −0.577871 | − | 0.816128i | \(-0.696117\pi\) |
0.238363 | + | 0.971176i | \(0.423389\pi\) | |||||||
\(102\) | −9.10342 | − | 6.33498i | −0.901373 | − | 0.627257i | ||||
\(103\) | 3.67059 | − | 4.23609i | 0.361674 | − | 0.417394i | −0.545526 | − | 0.838094i | \(-0.683670\pi\) |
0.907200 | + | 0.420700i | \(0.138215\pi\) | |||||||
\(104\) | 2.50197 | − | 9.67367i | 0.245338 | − | 0.948581i | ||||
\(105\) | 1.39842 | − | 0.410614i | 0.136472 | − | 0.0400718i | ||||
\(106\) | 1.34921 | − | 2.68823i | 0.131047 | − | 0.261104i | ||||
\(107\) | −2.74809 | − | 4.27611i | −0.265668 | − | 0.413387i | 0.682632 | − | 0.730762i | \(-0.260835\pi\) |
−0.948300 | + | 0.317375i | \(0.897199\pi\) | |||||||
\(108\) | 1.75331 | + | 0.962231i | 0.168713 | + | 0.0925907i | ||||
\(109\) | 0.419233 | − | 0.0602766i | 0.0401552 | − | 0.00577345i | −0.122208 | − | 0.992505i | \(-0.538997\pi\) |
0.162363 | + | 0.986731i | \(0.448088\pi\) | |||||||
\(110\) | 1.20257 | + | 4.73262i | 0.114660 | + | 0.451238i | ||||
\(111\) | −1.54895 | + | 10.7732i | −0.147019 | + | 1.02254i | ||||
\(112\) | 1.33371 | + | 2.09484i | 0.126024 | + | 0.197944i | ||||
\(113\) | −1.91539 | − | 2.21048i | −0.180185 | − | 0.207945i | 0.658471 | − | 0.752606i | \(-0.271204\pi\) |
−0.838656 | + | 0.544661i | \(0.816658\pi\) | |||||||
\(114\) | −6.79052 | + | 5.46024i | −0.635991 | + | 0.511399i | ||||
\(115\) | −10.2891 | − | 4.57025i | −0.959464 | − | 0.426178i | ||||
\(116\) | −2.87234 | − | 0.631242i | −0.266690 | − | 0.0586094i | ||||
\(117\) | 2.66984 | − | 2.31343i | 0.246826 | − | 0.213876i | ||||
\(118\) | 1.24131 | + | 11.6626i | 0.114272 | + | 1.07363i | ||||
\(119\) | 0.692910 | − | 4.81930i | 0.0635190 | − | 0.441784i | ||||
\(120\) | −6.63637 | + | 0.215813i | −0.605815 | + | 0.0197010i | ||||
\(121\) | −1.25759 | − | 8.74676i | −0.114327 | − | 0.795160i | ||||
\(122\) | 6.42859 | + | 15.5668i | 0.582017 | + | 1.40935i | ||||
\(123\) | −1.73789 | − | 2.70420i | −0.156700 | − | 0.243830i | ||||
\(124\) | 13.0820 | − | 2.81667i | 1.17480 | − | 0.252945i | ||||
\(125\) | 2.96895 | + | 10.1113i | 0.265551 | + | 0.904382i | ||||
\(126\) | −0.0322715 | + | 0.877411i | −0.00287497 | + | 0.0781660i | ||||
\(127\) | −9.09419 | + | 10.4953i | −0.806979 | + | 0.931303i | −0.998742 | − | 0.0501381i | \(-0.984034\pi\) |
0.191764 | + | 0.981441i | \(0.438579\pi\) | |||||||
\(128\) | −3.49282 | − | 10.7610i | −0.308725 | − | 0.951151i | ||||
\(129\) | 4.48496 | + | 9.82069i | 0.394878 | + | 0.864663i | ||||
\(130\) | −3.71564 | + | 11.1242i | −0.325883 | + | 0.975658i | ||||
\(131\) | −5.34139 | + | 18.1911i | −0.466680 | + | 1.58937i | 0.304346 | + | 0.952562i | \(0.401562\pi\) |
−0.771026 | + | 0.636804i | \(0.780256\pi\) | |||||||
\(132\) | −2.93368 | − | 0.216096i | −0.255344 | − | 0.0188088i | ||||
\(133\) | −3.47958 | − | 1.58907i | −0.301717 | − | 0.137790i | ||||
\(134\) | −13.3491 | + | 7.90117i | −1.15318 | + | 0.682557i | ||||
\(135\) | −1.97488 | − | 1.26918i | −0.169971 | − | 0.109234i | ||||
\(136\) | −8.55384 | + | 20.4658i | −0.733486 | + | 1.75493i | ||||
\(137\) | −10.2017 | −0.871590 | −0.435795 | − | 0.900046i | \(-0.643533\pi\) | ||||
−0.435795 | + | 0.900046i | \(0.643533\pi\) | |||||||
\(138\) | 4.57510 | − | 5.00685i | 0.389458 | − | 0.426211i | ||||
\(139\) | − | 10.2347i | − | 0.868093i | −0.900890 | − | 0.434047i | \(-0.857085\pi\) | ||
0.900890 | − | 0.434047i | \(-0.142915\pi\) | |||||||
\(140\) | −1.39153 | − | 2.56133i | −0.117605 | − | 0.216472i | ||||
\(141\) | −5.87229 | + | 9.13747i | −0.494536 | + | 0.769514i | ||||
\(142\) | 5.78409 | + | 9.77224i | 0.485390 | + | 0.820068i | ||||
\(143\) | −2.15848 | + | 4.72640i | −0.180501 | + | 0.395242i | ||||
\(144\) | 1.14325 | − | 3.83314i | 0.0952710 | − | 0.319428i | ||||
\(145\) | 3.31211 | + | 0.972522i | 0.275055 | + | 0.0807636i | ||||
\(146\) | 4.40769 | − | 13.1961i | 0.364783 | − | 1.09212i | ||||
\(147\) | 6.01681 | − | 2.74779i | 0.496258 | − | 0.226633i | ||||
\(148\) | 21.7157 | − | 1.50670i | 1.78502 | − | 0.123850i | ||||
\(149\) | 0.253110 | + | 0.219321i | 0.0207356 | + | 0.0179675i | 0.665167 | − | 0.746695i | \(-0.268360\pi\) |
−0.644431 | + | 0.764662i | \(0.722906\pi\) | |||||||
\(150\) | 0.722162 | + | 0.0265614i | 0.0589643 | + | 0.00216873i | ||||
\(151\) | −0.632395 | + | 0.185688i | −0.0514636 | + | 0.0151111i | −0.307363 | − | 0.951592i | \(-0.599447\pi\) |
0.255899 | + | 0.966703i | \(0.417628\pi\) | |||||||
\(152\) | 13.5345 | + | 10.9782i | 1.09779 | + | 0.890448i | ||||
\(153\) | −6.59739 | + | 4.23988i | −0.533367 | + | 0.342774i | ||||
\(154\) | −0.492921 | − | 1.19361i | −0.0397207 | − | 0.0961836i | ||||
\(155\) | −15.5473 | + | 2.23537i | −1.24879 | + | 0.179549i | ||||
\(156\) | −5.64712 | − | 4.24616i | −0.452132 | − | 0.339965i | ||||
\(157\) | −4.56442 | − | 0.656265i | −0.364281 | − | 0.0523756i | −0.0422557 | − | 0.999107i | \(-0.513454\pi\) |
−0.322025 | + | 0.946731i | \(0.604363\pi\) | |||||||
\(158\) | −6.16927 | + | 0.656627i | −0.490801 | + | 0.0522385i | ||||
\(159\) | −1.39279 | − | 1.60736i | −0.110455 | − | 0.127472i | ||||
\(160\) | 3.21568 | + | 12.8845i | 0.254222 | + | 1.01861i | ||||
\(161\) | 2.86541 | + | 0.809113i | 0.225826 | + | 0.0637670i | ||||
\(162\) | 1.10211 | − | 0.886203i | 0.0865898 | − | 0.0696267i | ||||
\(163\) | 8.50733 | − | 7.37164i | 0.666345 | − | 0.577392i | −0.254617 | − | 0.967042i | \(-0.581950\pi\) |
0.920963 | + | 0.389650i | \(0.127404\pi\) | |||||||
\(164\) | −4.55564 | + | 4.53630i | −0.355736 | + | 0.354225i | ||||
\(165\) | 3.41767 | + | 0.491387i | 0.266065 | + | 0.0382544i | ||||
\(166\) | 2.15397 | − | 0.547328i | 0.167180 | − | 0.0424809i | ||||
\(167\) | 1.70479 | + | 11.8571i | 0.131921 | + | 0.917527i | 0.943048 | + | 0.332658i | \(0.107945\pi\) |
−0.811127 | + | 0.584870i | \(0.801146\pi\) | |||||||
\(168\) | 1.72909 | − | 0.306268i | 0.133403 | − | 0.0236291i | ||||
\(169\) | 0.437478 | − | 0.281150i | 0.0336521 | − | 0.0216269i | ||||
\(170\) | 11.6789 | − | 23.2697i | 0.895734 | − | 1.78470i | ||||
\(171\) | 1.73586 | + | 5.91181i | 0.132745 | + | 0.452088i | ||||
\(172\) | 17.3133 | − | 12.9032i | 1.32013 | − | 0.983859i | ||||
\(173\) | −2.69176 | − | 2.33242i | −0.204651 | − | 0.177331i | 0.546505 | − | 0.837456i | \(-0.315958\pi\) |
−0.751156 | + | 0.660125i | \(0.770503\pi\) | |||||||
\(174\) | −1.18781 | + | 1.70690i | −0.0900478 | + | 0.129399i | ||||
\(175\) | 0.131788 | + | 0.288576i | 0.00996227 | + | 0.0218143i | ||||
\(176\) | 0.812487 | + | 5.82689i | 0.0612435 | + | 0.439218i | ||||
\(177\) | 7.95737 | + | 2.33650i | 0.598113 | + | 0.175622i | ||||
\(178\) | −6.22169 | − | 5.80496i | −0.466335 | − | 0.435100i | ||||
\(179\) | 10.1914 | + | 4.65424i | 0.761739 | + | 0.347874i | 0.758117 | − | 0.652119i | \(-0.226120\pi\) |
0.00362209 | + | 0.999993i | \(0.498847\pi\) | |||||||
\(180\) | −1.65013 | + | 4.39557i | −0.122993 | + | 0.327627i | ||||
\(181\) | −10.3766 | + | 16.1463i | −0.771285 | + | 1.20014i | 0.203952 | + | 0.978981i | \(0.434621\pi\) |
−0.975237 | + | 0.221162i | \(0.929015\pi\) | |||||||
\(182\) | 0.553969 | − | 3.05186i | 0.0410629 | − | 0.226219i | ||||
\(183\) | 11.9091 | 0.880344 | ||||||||
\(184\) | −11.7153 | − | 6.83746i | −0.863666 | − | 0.504064i | ||||
\(185\) | −25.5506 | −1.87852 | ||||||||
\(186\) | 1.68997 | − | 9.31020i | 0.123915 | − | 0.682657i | ||||
\(187\) | 6.23609 | − | 9.70354i | 0.456028 | − | 0.709593i | ||||
\(188\) | 20.3376 | + | 7.63486i | 1.48327 | + | 0.556829i | ||||
\(189\) | 0.564739 | + | 0.257907i | 0.0410787 | + | 0.0187600i | ||||
\(190\) | −14.9564 | − | 13.9546i | −1.08505 | − | 1.01237i | ||||
\(191\) | 10.1830 | + | 2.98999i | 0.736814 | + | 0.216348i | 0.628545 | − | 0.777774i | \(-0.283651\pi\) |
0.108269 | + | 0.994122i | \(0.465469\pi\) | |||||||
\(192\) | −7.97581 | − | 0.621637i | −0.575605 | − | 0.0448628i | ||||
\(193\) | 2.97388 | + | 6.51190i | 0.214065 | + | 0.468736i | 0.985953 | − | 0.167021i | \(-0.0534149\pi\) |
−0.771888 | + | 0.635758i | \(0.780688\pi\) | |||||||
\(194\) | 8.59543 | − | 12.3517i | 0.617116 | − | 0.886801i | ||||
\(195\) | 6.26757 | + | 5.43088i | 0.448830 | + | 0.388914i | ||||
\(196\) | −7.90536 | − | 10.6073i | −0.564668 | − | 0.757664i | ||||
\(197\) | −3.21101 | − | 10.9357i | −0.228775 | − | 0.779136i | −0.991236 | − | 0.132102i | \(-0.957827\pi\) |
0.762461 | − | 0.647034i | \(-0.223991\pi\) | |||||||
\(198\) | −0.933044 | + | 1.85904i | −0.0663085 | + | 0.132116i | ||||
\(199\) | −20.1739 | + | 12.9650i | −1.43009 | + | 0.919062i | −0.430222 | + | 0.902723i | \(0.641565\pi\) |
−0.999867 | + | 0.0163394i | \(0.994799\pi\) | |||||||
\(200\) | −0.252077 | − | 1.42315i | −0.0178245 | − | 0.100632i | ||||
\(201\) | 1.56101 | + | 10.8571i | 0.110105 | + | 0.765799i | ||||
\(202\) | 5.14131 | − | 1.30642i | 0.361742 | − | 0.0919192i | ||||
\(203\) | −0.903621 | − | 0.129921i | −0.0634217 | − | 0.00911867i | ||||
\(204\) | 11.0671 | + | 11.1143i | 0.774852 | + | 0.778157i | ||||
\(205\) | 5.70302 | − | 4.94170i | 0.398317 | − | 0.345143i | ||||
\(206\) | −6.17749 | + | 4.96730i | −0.430406 | + | 0.346088i | ||||
\(207\) | −2.03749 | − | 4.34150i | −0.141615 | − | 0.301755i | ||||
\(208\) | −5.92479 | + | 12.8287i | −0.410810 | + | 0.889512i | ||||
\(209\) | −5.93453 | − | 6.84881i | −0.410500 | − | 0.473742i | ||||
\(210\) | −2.04958 | + | 0.218148i | −0.141435 | + | 0.0150536i | ||||
\(211\) | −2.22765 | − | 0.320288i | −0.153358 | − | 0.0220496i | 0.0652081 | − | 0.997872i | \(-0.479229\pi\) |
−0.218566 | + | 0.975822i | \(0.570138\pi\) | |||||||
\(212\) | −2.55638 | + | 3.39982i | −0.175573 | + | 0.233501i | ||||
\(213\) | 7.94797 | − | 1.14275i | 0.544586 | − | 0.0782997i | ||||
\(214\) | 2.74385 | + | 6.64421i | 0.187565 | + | 0.454189i | ||||
\(215\) | −21.3215 | + | 13.7025i | −1.45411 | + | 0.934503i | ||||
\(216\) | −2.19666 | − | 1.78177i | −0.149463 | − | 0.121234i | ||||
\(217\) | 3.98572 | − | 1.17031i | 0.270569 | − | 0.0794461i | ||||
\(218\) | −0.598577 | − | 0.0220159i | −0.0405408 | − | 0.00149110i | ||||
\(219\) | −7.43492 | − | 6.44239i | −0.502405 | − | 0.435337i | ||||
\(220\) | −0.477985 | − | 6.88907i | −0.0322257 | − | 0.464461i | ||||
\(221\) | 25.2010 | − | 11.5089i | 1.69520 | − | 0.774173i | ||||
\(222\) | 4.87639 | − | 14.5993i | 0.327282 | − | 0.979844i | ||||
\(223\) | −3.88153 | − | 1.13972i | −0.259927 | − | 0.0763213i | 0.149173 | − | 0.988811i | \(-0.452339\pi\) |
−0.409099 | + | 0.912490i | \(0.634157\pi\) | |||||||
\(224\) | −1.32671 | − | 3.25178i | −0.0886447 | − | 0.217269i | ||||
\(225\) | 0.212273 | − | 0.464814i | 0.0141516 | − | 0.0309876i | ||||
\(226\) | 2.10690 | + | 3.55962i | 0.140149 | + | 0.236783i | ||||
\(227\) | 7.41332 | − | 11.5354i | 0.492039 | − | 0.765628i | −0.503087 | − | 0.864236i | \(-0.667802\pi\) |
0.995126 | + | 0.0986075i | \(0.0314388\pi\) | |||||||
\(228\) | 10.8280 | − | 5.88266i | 0.717101 | − | 0.389588i | ||||
\(229\) | − | 29.0333i | − | 1.91858i | −0.282429 | − | 0.959288i | \(-0.591140\pi\) | ||
0.282429 | − | 0.959288i | \(-0.408860\pi\) | |||||||
\(230\) | 13.1627 | + | 8.95820i | 0.867922 | + | 0.590686i | ||||
\(231\) | −0.913146 | −0.0600806 | ||||||||
\(232\) | 3.83735 | + | 1.60385i | 0.251934 | + | 0.105298i | ||||
\(233\) | −11.5750 | − | 7.43878i | −0.758302 | − | 0.487331i | 0.103467 | − | 0.994633i | \(-0.467006\pi\) |
−0.861768 | + | 0.507302i | \(0.830643\pi\) | |||||||
\(234\) | −4.29933 | + | 2.54473i | −0.281056 | + | 0.166354i | ||||
\(235\) | −23.1942 | − | 10.5924i | −1.51302 | − | 0.690975i | ||||
\(236\) | 1.21848 | − | 16.5418i | 0.0793160 | − | 1.07678i | ||||
\(237\) | −1.23595 | + | 4.20927i | −0.0802838 | + | 0.273422i | ||||
\(238\) | −2.18142 | + | 6.53092i | −0.141400 | + | 0.423337i | ||||
\(239\) | 3.92601 | + | 8.59677i | 0.253953 | + | 0.556079i | 0.993074 | − | 0.117494i | \(-0.0374861\pi\) |
−0.739121 | + | 0.673573i | \(0.764759\pi\) | |||||||
\(240\) | 9.28885 | + | 1.37591i | 0.599593 | + | 0.0888143i | ||||
\(241\) | 15.8967 | − | 18.3457i | 1.02399 | − | 1.18175i | 0.0408034 | − | 0.999167i | \(-0.487008\pi\) |
0.983190 | − | 0.182584i | \(-0.0584463\pi\) | |||||||
\(242\) | −0.459333 | + | 12.4885i | −0.0295270 | + | 0.802794i | ||||
\(243\) | −0.281733 | − | 0.959493i | −0.0180732 | − | 0.0615515i | ||||
\(244\) | −5.01338 | − | 23.2846i | −0.320949 | − | 1.49064i | ||||
\(245\) | 8.39507 | + | 13.0630i | 0.536341 | + | 0.834563i | ||||
\(246\) | 1.73520 | + | 4.20179i | 0.110632 | + | 0.267896i | ||||
\(247\) | −3.09767 | − | 21.5448i | −0.197100 | − | 1.37086i | ||||
\(248\) | −18.9147 | + | 0.615101i | −1.20108 | + | 0.0390590i | ||||
\(249\) | 0.223646 | − | 1.55549i | 0.0141730 | − | 0.0985754i | ||||
\(250\) | −1.57732 | − | 14.8195i | −0.0997583 | − | 0.937269i | ||||
\(251\) | −3.89261 | + | 3.37296i | −0.245699 | + | 0.212900i | −0.769001 | − | 0.639248i | \(-0.779246\pi\) |
0.523301 | + | 0.852148i | \(0.324700\pi\) | |||||||
\(252\) | 0.266520 | − | 1.21275i | 0.0167892 | − | 0.0763958i | ||||
\(253\) | 5.37861 | + | 4.56360i | 0.338150 | + | 0.286911i | ||||
\(254\) | 15.3052 | − | 12.3069i | 0.960335 | − | 0.772203i | ||||
\(255\) | −12.0562 | − | 13.9135i | −0.754986 | − | 0.871300i | ||||
\(256\) | 2.14217 | + | 15.8559i | 0.133885 | + | 0.990997i | ||||
\(257\) | 4.10969 | − | 28.5835i | 0.256356 | − | 1.78299i | −0.301916 | − | 0.953334i | \(-0.597626\pi\) |
0.558272 | − | 0.829658i | \(-0.311465\pi\) | |||||||
\(258\) | −3.76021 | − | 14.7980i | −0.234101 | − | 0.921286i | ||||
\(259\) | 6.68844 | − | 0.961652i | 0.415599 | − | 0.0597541i | ||||
\(260\) | 7.97996 | − | 14.5406i | 0.494896 | − | 0.901768i | ||||
\(261\) | 0.794980 | + | 1.23701i | 0.0492080 | + | 0.0765692i | ||||
\(262\) | 12.0271 | − | 23.9634i | 0.743037 | − | 1.48046i | ||||
\(263\) | 10.3725 | − | 3.04563i | 0.639594 | − | 0.187802i | 0.0541737 | − | 0.998532i | \(-0.482748\pi\) |
0.585421 | + | 0.810730i | \(0.300929\pi\) | |||||||
\(264\) | 4.02757 | + | 1.04168i | 0.247880 | + | 0.0641109i | ||||
\(265\) | 3.26964 | − | 3.77336i | 0.200852 | − | 0.231796i | ||||
\(266\) | 4.44038 | + | 3.09002i | 0.272257 | + | 0.189461i | ||||
\(267\) | −5.47320 | + | 2.49952i | −0.334954 | + | 0.152968i | ||||
\(268\) | 20.5705 | − | 7.62260i | 1.25655 | − | 0.465624i | ||||
\(269\) | −1.59153 | + | 5.42025i | −0.0970373 | + | 0.330479i | −0.993676 | − | 0.112284i | \(-0.964183\pi\) |
0.896639 | + | 0.442763i | \(0.146002\pi\) | |||||||
\(270\) | 2.42744 | + | 2.26485i | 0.147729 | + | 0.137834i | ||||
\(271\) | 0.845584 | − | 1.85157i | 0.0513655 | − | 0.112475i | −0.882209 | − | 0.470858i | \(-0.843944\pi\) |
0.933575 | + | 0.358383i | \(0.116672\pi\) | |||||||
\(272\) | 17.0717 | − | 26.3171i | 1.03512 | − | 1.59571i | ||||
\(273\) | −1.84508 | − | 1.18576i | −0.111669 | − | 0.0717656i | ||||
\(274\) | 14.1954 | + | 2.57673i | 0.857577 | + | 0.155666i | ||||
\(275\) | 0.751574i | 0.0453216i | ||||||||
\(276\) | −7.63075 | + | 5.81133i | −0.459317 | + | 0.349801i | ||||
\(277\) | − | 0.215028i | − | 0.0129198i | −0.999979 | − | 0.00645990i | \(-0.997944\pi\) | ||
0.999979 | − | 0.00645990i | \(-0.00205626\pi\) | |||||||
\(278\) | −2.58506 | + | 14.2413i | −0.155042 | + | 0.854136i | ||||
\(279\) | −5.62873 | − | 3.61737i | −0.336983 | − | 0.216566i | ||||
\(280\) | 1.28934 | + | 3.91550i | 0.0770526 | + | 0.233996i | ||||
\(281\) | −7.85103 | + | 17.1914i | −0.468353 | + | 1.02555i | 0.517150 | + | 0.855895i | \(0.326993\pi\) |
−0.985503 | + | 0.169656i | \(0.945734\pi\) | |||||||
\(282\) | 10.4791 | − | 11.2313i | 0.624020 | − | 0.668817i | ||||
\(283\) | 0.818725 | − | 2.78832i | 0.0486681 | − | 0.165748i | −0.931573 | − | 0.363554i | \(-0.881563\pi\) |
0.980241 | + | 0.197805i | \(0.0633814\pi\) | |||||||
\(284\) | −5.58016 | − | 15.0588i | −0.331122 | − | 0.893573i | ||||
\(285\) | −13.1571 | + | 6.00864i | −0.779358 | + | 0.355921i | ||||
\(286\) | 4.19726 | − | 6.03149i | 0.248189 | − | 0.356650i | ||||
\(287\) | −1.30690 | + | 1.50825i | −0.0771440 | + | 0.0890289i | ||||
\(288\) | −2.55898 | + | 5.04496i | −0.150789 | + | 0.297277i | ||||
\(289\) | −42.6995 | + | 12.5377i | −2.51173 | + | 0.737512i | ||||
\(290\) | −4.36308 | − | 2.18981i | −0.256209 | − | 0.128590i | ||||
\(291\) | −5.75276 | − | 8.95147i | −0.337233 | − | 0.524745i | ||||
\(292\) | −9.46624 | + | 17.2488i | −0.553970 | + | 1.00941i | ||||
\(293\) | 11.7355 | − | 1.68731i | 0.685594 | − | 0.0985735i | 0.209289 | − | 0.977854i | \(-0.432885\pi\) |
0.476305 | + | 0.879280i | \(0.341976\pi\) | |||||||
\(294\) | −9.06628 | + | 2.30376i | −0.528756 | + | 0.134358i | ||||
\(295\) | −2.77072 | + | 19.2708i | −0.161318 | + | 1.12199i | ||||
\(296\) | −30.5974 | − | 3.38838i | −1.77844 | − | 0.196945i | ||||
\(297\) | 0.963180 | + | 1.11157i | 0.0558894 | + | 0.0644998i | ||||
\(298\) | −0.296800 | − | 0.369110i | −0.0171932 | − | 0.0213820i | ||||
\(299\) | 4.94185 | + | 16.2055i | 0.285795 | + | 0.937187i | ||||
\(300\) | −0.998162 | − | 0.219362i | −0.0576289 | − | 0.0126649i | ||||
\(301\) | 5.06566 | − | 4.38942i | 0.291980 | − | 0.253002i | ||||
\(302\) | 0.926863 | − | 0.0986508i | 0.0533350 | − | 0.00567671i | ||||
\(303\) | 0.533821 | − | 3.71281i | 0.0306672 | − | 0.213295i | ||||
\(304\) | −16.0600 | − | 18.6944i | −0.921105 | − | 1.07220i | ||||
\(305\) | 3.97872 | + | 27.6726i | 0.227821 | + | 1.58453i | ||||
\(306\) | 10.2510 | − | 4.23334i | 0.586011 | − | 0.242004i | ||||
\(307\) | 16.8432 | + | 26.2085i | 0.961292 | + | 1.49580i | 0.865813 | + | 0.500367i | \(0.166802\pi\) |
0.0954784 | + | 0.995431i | \(0.469562\pi\) | |||||||
\(308\) | 0.384408 | + | 1.78538i | 0.0219037 | + | 0.101731i | ||||
\(309\) | 1.57915 | + | 5.37810i | 0.0898349 | + | 0.305950i | ||||
\(310\) | 22.1983 | + | 0.816462i | 1.26078 | + | 0.0463719i | ||||
\(311\) | 19.5860 | − | 22.6034i | 1.11062 | − | 1.28172i | 0.154744 | − | 0.987955i | \(-0.450545\pi\) |
0.955876 | − | 0.293769i | \(-0.0949098\pi\) | |||||||
\(312\) | 6.78534 | + | 7.33477i | 0.384144 | + | 0.415250i | ||||
\(313\) | −2.52042 | − | 5.51896i | −0.142463 | − | 0.311950i | 0.824928 | − | 0.565237i | \(-0.191215\pi\) |
−0.967391 | + | 0.253287i | \(0.918488\pi\) | |||||||
\(314\) | 6.18552 | + | 2.06605i | 0.349069 | + | 0.116594i | ||||
\(315\) | −0.410614 | + | 1.39842i | −0.0231355 | + | 0.0787922i | ||||
\(316\) | 8.75024 | + | 0.644546i | 0.492240 | + | 0.0362586i | ||||
\(317\) | 13.8683 | + | 6.33345i | 0.778923 | + | 0.355722i | 0.764875 | − | 0.644179i | \(-0.222801\pi\) |
0.0140482 | + | 0.999901i | \(0.495528\pi\) | |||||||
\(318\) | 1.53204 | + | 2.58839i | 0.0859128 | + | 0.145150i | ||||
\(319\) | −1.81942 | − | 1.16927i | −0.101868 | − | 0.0654665i | ||||
\(320\) | −1.22018 | − | 18.7407i | −0.0682100 | − | 1.04764i | ||||
\(321\) | 5.08302 | 0.283707 | ||||||||
\(322\) | −3.78279 | − | 1.84960i | −0.210807 | − | 0.103074i | ||||
\(323\) | 48.3197i | 2.68858i | ||||||||
\(324\) | −1.75739 | + | 0.954761i | −0.0976330 | + | 0.0530423i | ||||
\(325\) | −0.975953 | + | 1.51861i | −0.0541361 | + | 0.0842374i | ||||
\(326\) | −13.6997 | + | 8.10869i | −0.758754 | + | 0.449099i | ||||
\(327\) | −0.175947 | + | 0.385269i | −0.00972987 | + | 0.0213054i | ||||
\(328\) | 7.48484 | − | 5.16149i | 0.413281 | − | 0.284995i | ||||
\(329\) | 6.47027 | + | 1.89984i | 0.356718 | + | 0.104742i | ||||
\(330\) | −4.63149 | − | 1.54698i | −0.254955 | − | 0.0851586i | ||||
\(331\) | 7.23701 | − | 3.30503i | 0.397782 | − | 0.181661i | −0.206472 | − | 0.978452i | \(-0.566198\pi\) |
0.604254 | + | 0.796791i | \(0.293471\pi\) | |||||||
\(332\) | −3.13544 | + | 0.217547i | −0.172080 | + | 0.0119394i | ||||
\(333\) | −8.22553 | − | 7.12746i | −0.450756 | − | 0.390582i | ||||
\(334\) | 0.622670 | − | 16.9294i | 0.0340710 | − | 0.926336i | ||||
\(335\) | −24.7066 | + | 7.25451i | −1.34986 | + | 0.396356i | ||||
\(336\) | −2.48335 | − | 0.0105679i | −0.135478 | − | 0.000576525i | ||||
\(337\) | 10.7645 | − | 6.91794i | 0.586381 | − | 0.376844i | −0.213554 | − | 0.976931i | \(-0.568504\pi\) |
0.799935 | + | 0.600087i | \(0.204867\pi\) | |||||||
\(338\) | −0.679752 | + | 0.280716i | −0.0369736 | + | 0.0152689i | ||||
\(339\) | 2.89512 | − | 0.416255i | 0.157241 | − | 0.0226079i | ||||
\(340\) | −22.1284 | + | 29.4293i | −1.20008 | + | 1.59603i | ||||
\(341\) | 9.74090 | + | 1.40053i | 0.527499 | + | 0.0758429i | ||||
\(342\) | −0.922216 | − | 8.66458i | −0.0498677 | − | 0.468527i | ||||
\(343\) | −5.53521 | − | 6.38797i | −0.298873 | − | 0.344918i | ||||
\(344\) | −27.3501 | + | 13.5815i | −1.47462 | + | 0.732265i | ||||
\(345\) | 9.40745 | − | 6.18488i | 0.506480 | − | 0.332983i | ||||
\(346\) | 3.15640 | + | 3.92539i | 0.169689 | + | 0.211030i | ||||
\(347\) | 15.2414 | − | 13.2067i | 0.818200 | − | 0.708974i | −0.141519 | − | 0.989936i | \(-0.545199\pi\) |
0.959719 | + | 0.280961i | \(0.0906532\pi\) | |||||||
\(348\) | 2.08394 | − | 2.07509i | 0.111711 | − | 0.111236i | ||||
\(349\) | −20.9790 | − | 3.01632i | −1.12298 | − | 0.161460i | −0.444289 | − | 0.895884i | \(-0.646544\pi\) |
−0.678691 | + | 0.734424i | \(0.737453\pi\) | |||||||
\(350\) | −0.110492 | − | 0.434834i | −0.00590605 | − | 0.0232428i | ||||
\(351\) | 0.502756 | + | 3.49674i | 0.0268351 | + | 0.186642i | ||||
\(352\) | 0.341192 | − | 8.31319i | 0.0181856 | − | 0.443095i | ||||
\(353\) | −10.9132 | + | 7.01350i | −0.580852 | + | 0.373291i | −0.797827 | − | 0.602886i | \(-0.794017\pi\) |
0.216975 | + | 0.976177i | \(0.430381\pi\) | |||||||
\(354\) | −10.4823 | − | 5.26104i | −0.557130 | − | 0.279621i | ||||
\(355\) | 5.31070 | + | 18.0866i | 0.281862 | + | 0.959935i | ||||
\(356\) | 7.19111 | + | 9.64893i | 0.381128 | + | 0.511392i | ||||
\(357\) | 3.67964 | + | 3.18842i | 0.194747 | + | 0.168749i | ||||
\(358\) | −13.0055 | − | 9.05039i | −0.687361 | − | 0.478328i | ||||
\(359\) | 13.4690 | + | 29.4930i | 0.710867 | + | 1.55658i | 0.826278 | + | 0.563263i | \(0.190454\pi\) |
−0.115411 | + | 0.993318i | \(0.536818\pi\) | |||||||
\(360\) | 3.40634 | − | 5.69954i | 0.179530 | − | 0.300392i | ||||
\(361\) | 18.1946 | + | 5.34242i | 0.957612 | + | 0.281180i | ||||
\(362\) | 18.5170 | − | 19.8462i | 0.973230 | − | 1.04310i | ||||
\(363\) | 8.03815 | + | 3.67090i | 0.421893 | + | 0.192672i | ||||
\(364\) | −1.54167 | + | 4.10666i | −0.0808053 | + | 0.215248i | ||||
\(365\) | 12.4860 | − | 19.4285i | 0.653545 | − | 1.01694i | ||||
\(366\) | −16.5712 | − | 3.00798i | −0.866190 | − | 0.157230i | ||||
\(367\) | −4.64816 | −0.242632 | −0.121316 | − | 0.992614i | \(-0.538711\pi\) | ||||
−0.121316 | + | 0.992614i | \(0.538711\pi\) | |||||||
\(368\) | 14.5746 | + | 12.4732i | 0.759754 | + | 0.650211i | ||||
\(369\) | 3.21449 | 0.167340 | ||||||||
\(370\) | 35.5530 | + | 6.45353i | 1.84831 | + | 0.335503i | ||||
\(371\) | −0.713882 | + | 1.11082i | −0.0370629 | + | 0.0576710i | ||||
\(372\) | −4.70312 | + | 12.5281i | −0.243845 | + | 0.649550i | ||||
\(373\) | −11.4560 | − | 5.23176i | −0.593167 | − | 0.270890i | 0.0961303 | − | 0.995369i | \(-0.469353\pi\) |
−0.689298 | + | 0.724478i | \(0.742081\pi\) | |||||||
\(374\) | −11.1283 | + | 11.9271i | −0.575429 | + | 0.616738i | ||||
\(375\) | −10.1113 | − | 2.96895i | −0.522145 | − | 0.153316i | ||||
\(376\) | −26.3709 | − | 15.7606i | −1.35997 | − | 0.812789i | ||||
\(377\) | −2.15793 | − | 4.72520i | −0.111139 | − | 0.243360i | ||||
\(378\) | −0.720678 | − | 0.501513i | −0.0370677 | − | 0.0257950i | ||||
\(379\) | 1.78484 | + | 1.54658i | 0.0916813 | + | 0.0794423i | 0.699496 | − | 0.714637i | \(-0.253408\pi\) |
−0.607814 | + | 0.794079i | \(0.707954\pi\) | |||||||
\(380\) | 17.2868 | + | 23.1952i | 0.886794 | + | 1.18989i | ||||
\(381\) | −3.91248 | − | 13.3247i | −0.200442 | − | 0.682644i | ||||
\(382\) | −13.4141 | − | 6.73250i | −0.686327 | − | 0.344465i | ||||
\(383\) | 4.51964 | − | 2.90460i | 0.230943 | − | 0.148418i | −0.420052 | − | 0.907500i | \(-0.637988\pi\) |
0.650995 | + | 0.759082i | \(0.274352\pi\) | |||||||
\(384\) | 10.9411 | + | 2.87951i | 0.558337 | + | 0.146944i | ||||
\(385\) | −0.305074 | − | 2.12184i | −0.0155480 | − | 0.108139i | ||||
\(386\) | −2.49332 | − | 9.81228i | −0.126907 | − | 0.499432i | ||||
\(387\) | −10.6864 | − | 1.53648i | −0.543222 | − | 0.0781036i | ||||
\(388\) | −15.0801 | + | 15.0161i | −0.765577 | + | 0.762326i | ||||
\(389\) | −9.94483 | + | 8.61724i | −0.504223 | + | 0.436912i | −0.869460 | − | 0.494003i | \(-0.835533\pi\) |
0.365237 | + | 0.930914i | \(0.380988\pi\) | |||||||
\(390\) | −7.34945 | − | 9.14000i | −0.372154 | − | 0.462822i | ||||
\(391\) | −5.73912 | − | 37.1700i | −0.290240 | − | 1.87977i | ||||
\(392\) | 8.32094 | + | 16.7565i | 0.420271 | + | 0.846332i | ||||
\(393\) | −12.4156 | − | 14.3283i | −0.626283 | − | 0.722769i | ||||
\(394\) | 1.70592 | + | 16.0278i | 0.0859429 | + | 0.807468i | ||||
\(395\) | −10.1938 | − | 1.46565i | −0.512907 | − | 0.0737449i | ||||
\(396\) | 1.76786 | − | 2.35114i | 0.0888384 | − | 0.118149i | ||||
\(397\) | −14.5173 | + | 2.08727i | −0.728600 | + | 0.104757i | −0.496625 | − | 0.867965i | \(-0.665428\pi\) |
−0.231975 | + | 0.972722i | \(0.574519\pi\) | |||||||
\(398\) | 31.3461 | − | 12.9449i | 1.57124 | − | 0.648871i | ||||
\(399\) | 3.21801 | − | 2.06809i | 0.161102 | − | 0.103534i | ||||
\(400\) | −0.00869800 | + | 2.04395i | −0.000434900 | + | 0.102197i | ||||
\(401\) | 29.9131 | − | 8.78327i | 1.49379 | − | 0.438615i | 0.570039 | − | 0.821617i | \(-0.306928\pi\) |
0.923748 | + | 0.383002i | \(0.125110\pi\) | |||||||
\(402\) | 0.570156 | − | 15.5016i | 0.0284368 | − | 0.773151i | ||||
\(403\) | 17.8636 | + | 15.4789i | 0.889848 | + | 0.771058i | ||||
\(404\) | −7.48398 | + | 0.519262i | −0.372342 | + | 0.0258343i | ||||
\(405\) | 2.13541 | − | 0.975208i | 0.106109 | − | 0.0484585i | ||||
\(406\) | 1.22455 | + | 0.409017i | 0.0607734 | + | 0.0202992i | ||||
\(407\) | 15.3598 | + | 4.51005i | 0.761358 | + | 0.223555i | ||||
\(408\) | −12.5924 | − | 18.2606i | −0.623415 | − | 0.904034i | ||||
\(409\) | −14.0812 | + | 30.8336i | −0.696272 | + | 1.52462i | 0.148163 | + | 0.988963i | \(0.452664\pi\) |
−0.844434 | + | 0.535659i | \(0.820063\pi\) | |||||||
\(410\) | −9.18379 | + | 5.43579i | −0.453555 | + | 0.268455i | ||||
\(411\) | 5.51546 | − | 8.58222i | 0.272057 | − | 0.423330i | ||||
\(412\) | 9.85045 | − | 5.35158i | 0.485297 | − | 0.263653i | ||||
\(413\) | − | 5.14884i | − | 0.253358i | ||||||
\(414\) | 1.73854 | + | 6.55572i | 0.0854448 | + | 0.322196i | ||||
\(415\) | 3.68915 | 0.181093 | ||||||||
\(416\) | 11.4845 | − | 16.3544i | 0.563072 | − | 0.801840i | ||||
\(417\) | 8.60995 | + | 5.53328i | 0.421631 | + | 0.270966i | ||||
\(418\) | 6.52789 | + | 11.0289i | 0.319289 | + | 0.539440i | ||||
\(419\) | −14.6048 | − | 6.66978i | −0.713490 | − | 0.325840i | 0.0253896 | − | 0.999678i | \(-0.491917\pi\) |
−0.738879 | + | 0.673838i | \(0.764645\pi\) | |||||||
\(420\) | 2.90704 | + | 0.214134i | 0.141849 | + | 0.0104487i | ||||
\(421\) | 4.37112 | − | 14.8867i | 0.213035 | − | 0.725531i | −0.781755 | − | 0.623586i | \(-0.785675\pi\) |
0.994790 | − | 0.101945i | \(-0.0325067\pi\) | |||||||
\(422\) | 3.01883 | + | 1.00833i | 0.146954 | + | 0.0490848i | ||||
\(423\) | −4.51213 | − | 9.88018i | −0.219387 | − | 0.480391i | ||||
\(424\) | 4.41586 | − | 4.08508i | 0.214453 | − | 0.198389i | ||||
\(425\) | 2.62426 | − | 3.02856i | 0.127295 | − | 0.146907i | ||||
\(426\) | −11.3480 | − | 0.417385i | −0.549814 | − | 0.0202224i | ||||
\(427\) | −2.08304 | − | 7.09417i | −0.100805 | − | 0.343311i | ||||
\(428\) | −2.13981 | − | 9.93830i | −0.103432 | − | 0.480386i | ||||
\(429\) | −2.80914 | − | 4.37111i | −0.135627 | − | 0.211039i | ||||
\(430\) | 33.1293 | − | 13.6813i | 1.59764 | − | 0.659773i | ||||
\(431\) | −0.726529 | − | 5.05312i | −0.0349957 | − | 0.243400i | 0.964813 | − | 0.262935i | \(-0.0846905\pi\) |
−0.999809 | + | 0.0195349i | \(0.993781\pi\) | |||||||
\(432\) | 2.60655 | + | 3.03412i | 0.125408 | + | 0.145979i | ||||
\(433\) | 2.65884 | − | 18.4927i | 0.127776 | − | 0.888701i | −0.820589 | − | 0.571519i | \(-0.806354\pi\) |
0.948365 | − | 0.317182i | \(-0.102737\pi\) | |||||||
\(434\) | −5.84163 | + | 0.621755i | −0.280407 | + | 0.0298452i | ||||
\(435\) | −2.60880 | + | 2.26054i | −0.125082 | + | 0.108384i | ||||
\(436\) | 0.827345 | + | 0.181822i | 0.0396226 | + | 0.00870771i | ||||
\(437\) | −29.2904 | − | 3.90108i | −1.40115 | − | 0.186614i | ||||
\(438\) | 8.71830 | + | 10.8423i | 0.416576 | + | 0.518067i | ||||
\(439\) | 8.70793 | + | 10.0495i | 0.415607 | + | 0.479636i | 0.924494 | − | 0.381198i | \(-0.124488\pi\) |
−0.508887 | + | 0.860834i | \(0.669943\pi\) | |||||||
\(440\) | −1.07493 | + | 9.70670i | −0.0512451 | + | 0.462749i | ||||
\(441\) | −0.941349 | + | 6.54723i | −0.0448262 | + | 0.311773i | ||||
\(442\) | −37.9735 | + | 9.64913i | −1.80621 | + | 0.458962i | ||||
\(443\) | −9.76279 | + | 1.40368i | −0.463844 | + | 0.0666907i | −0.370275 | − | 0.928922i | \(-0.620737\pi\) |
−0.0935690 | + | 0.995613i | \(0.529828\pi\) | |||||||
\(444\) | −10.4729 | + | 19.0830i | −0.497020 | + | 0.905637i | ||||
\(445\) | −7.63658 | − | 11.8828i | −0.362009 | − | 0.563296i | ||||
\(446\) | 5.11319 | + | 2.56628i | 0.242116 | + | 0.121517i | ||||
\(447\) | −0.321346 | + | 0.0943557i | −0.0151991 | + | 0.00446287i | ||||
\(448\) | 1.02476 | + | 4.85988i | 0.0484152 | + | 0.229608i | ||||
\(449\) | −13.2722 | + | 15.3169i | −0.626352 | + | 0.722849i | −0.976900 | − | 0.213696i | \(-0.931450\pi\) |
0.350548 | + | 0.936545i | \(0.385995\pi\) | |||||||
\(450\) | −0.412775 | + | 0.593161i | −0.0194584 | + | 0.0279619i | ||||
\(451\) | −4.30067 | + | 1.96405i | −0.202511 | + | 0.0924836i | ||||
\(452\) | −2.03262 | − | 5.48529i | −0.0956065 | − | 0.258006i | ||||
\(453\) | 0.185688 | − | 0.632395i | 0.00872438 | − | 0.0297125i | ||||
\(454\) | −13.2290 | + | 14.1787i | −0.620870 | + | 0.665440i | ||||
\(455\) | 2.13888 | − | 4.68348i | 0.100272 | − | 0.219565i | ||||
\(456\) | −16.5527 | + | 5.45065i | −0.775152 | + | 0.255250i | ||||
\(457\) | 34.0395 | + | 21.8759i | 1.59230 | + | 1.02331i | 0.970798 | + | 0.239898i | \(0.0771142\pi\) |
0.621503 | + | 0.783411i | \(0.286522\pi\) | |||||||
\(458\) | −7.33320 | + | 40.3992i | −0.342658 | + | 1.88773i | ||||
\(459\) | − | 7.84233i | − | 0.366049i | ||||||
\(460\) | −16.0529 | − | 15.7897i | −0.748470 | − | 0.736200i | ||||
\(461\) | − | 26.7017i | − | 1.24362i | −0.783168 | − | 0.621810i | \(-0.786398\pi\) | ||
0.783168 | − | 0.621810i | \(-0.213602\pi\) | |||||||
\(462\) | 1.27062 | + | 0.230641i | 0.0591146 | + | 0.0107304i | ||||
\(463\) | −10.1557 | − | 6.52668i | −0.471976 | − | 0.303321i | 0.282945 | − | 0.959136i | \(-0.408689\pi\) |
−0.754921 | + | 0.655816i | \(0.772325\pi\) | |||||||
\(464\) | −4.93448 | − | 3.20095i | −0.229077 | − | 0.148600i | ||||
\(465\) | 6.52500 | − | 14.2878i | 0.302590 | − | 0.662579i | ||||
\(466\) | 14.2274 | + | 13.2745i | 0.659072 | + | 0.614928i | ||||
\(467\) | −4.78709 | + | 16.3033i | −0.221520 | + | 0.754429i | 0.771473 | + | 0.636261i | \(0.219520\pi\) |
−0.992994 | + | 0.118167i | \(0.962298\pi\) | |||||||
\(468\) | 6.62516 | − | 2.45501i | 0.306248 | − | 0.113483i | ||||
\(469\) | 6.19446 | − | 2.82892i | 0.286034 | − | 0.130627i | ||||
\(470\) | 29.5987 | + | 20.5975i | 1.36529 | + | 0.950091i | ||||
\(471\) | 3.01980 | − | 3.48503i | 0.139145 | − | 0.160582i | ||||
\(472\) | −5.87358 | + | 22.7098i | −0.270354 | + | 1.04530i | ||||
\(473\) | 15.2362 | − | 4.47375i | 0.700561 | − | 0.205703i | ||||
\(474\) | 2.78297 | − | 5.54492i | 0.127826 | − | 0.254687i | ||||
\(475\) | −1.70216 | − | 2.64862i | −0.0781005 | − | 0.121527i | ||||
\(476\) | 4.68496 | − | 8.53664i | 0.214735 | − | 0.391276i | ||||
\(477\) | 2.10520 | − | 0.302682i | 0.0963903 | − | 0.0138588i | ||||
\(478\) | −3.29159 | − | 12.9538i | −0.150554 | − | 0.592494i | ||||
\(479\) | −3.15732 | + | 21.9596i | −0.144262 | + | 1.00336i | 0.781135 | + | 0.624362i | \(0.214641\pi\) |
−0.925397 | + | 0.379000i | \(0.876268\pi\) | |||||||
\(480\) | −12.5777 | − | 4.26070i | −0.574090 | − | 0.194474i | ||||
\(481\) | 25.1792 | + | 29.0583i | 1.14807 | + | 1.32495i | ||||
\(482\) | −26.7535 | + | 21.5125i | −1.21859 | + | 0.979866i | ||||
\(483\) | −2.22983 | + | 1.97310i | −0.101461 | + | 0.0897791i | ||||
\(484\) | 3.79349 | − | 17.2615i | 0.172431 | − | 0.784613i | ||||
\(485\) | 18.8782 | − | 16.3580i | 0.857214 | − | 0.742780i | ||||
\(486\) | 0.149677 | + | 1.40627i | 0.00678947 | + | 0.0637897i | ||||
\(487\) | −0.479482 | + | 3.33487i | −0.0217274 | + | 0.151117i | −0.997797 | − | 0.0663409i | \(-0.978868\pi\) |
0.976070 | + | 0.217458i | \(0.0697766\pi\) | |||||||
\(488\) | 1.09482 | + | 33.6662i | 0.0495600 | + | 1.52400i | ||||
\(489\) | 1.60201 | + | 11.1422i | 0.0724454 | + | 0.503869i | ||||
\(490\) | −8.38210 | − | 20.2972i | −0.378665 | − | 0.916936i | ||||
\(491\) | 8.00779 | + | 12.4604i | 0.361387 | + | 0.562328i | 0.973570 | − | 0.228387i | \(-0.0733451\pi\) |
−0.612184 | + | 0.790715i | \(0.709709\pi\) | |||||||
\(492\) | −1.35321 | − | 6.28496i | −0.0610074 | − | 0.283348i | ||||
\(493\) | 3.24885 | + | 11.0646i | 0.146321 | + | 0.498323i | ||||
\(494\) | −1.13142 | + | 30.7615i | −0.0509049 | + | 1.38402i | ||||
\(495\) | −2.26111 | + | 2.60946i | −0.101629 | + | 0.117287i | ||||
\(496\) | 26.4747 | + | 3.92155i | 1.18875 | + | 0.176083i | ||||
\(497\) | −2.07092 | − | 4.53468i | −0.0928935 | − | 0.203408i | ||||
\(498\) | −0.704082 | + | 2.10794i | −0.0315507 | + | 0.0944591i | ||||
\(499\) | −2.39079 | + | 8.14227i | −0.107026 | + | 0.364498i | −0.995539 | − | 0.0943545i | \(-0.969921\pi\) |
0.888512 | + | 0.458853i | \(0.151739\pi\) | |||||||
\(500\) | −1.54830 | + | 21.0194i | −0.0692419 | + | 0.940016i | ||||
\(501\) | −10.8965 | − | 4.97626i | −0.486819 | − | 0.222323i | ||||
\(502\) | 6.26841 | − | 3.71021i | 0.279773 | − | 0.165595i | ||||
\(503\) | −21.4740 | − | 13.8005i | −0.957479 | − | 0.615335i | −0.0341801 | − | 0.999416i | \(-0.510882\pi\) |
−0.923299 | + | 0.384081i | \(0.874518\pi\) | |||||||
\(504\) | −0.677170 | + | 1.62019i | −0.0301635 | + | 0.0721689i | ||||
\(505\) | 8.80563 | 0.391845 | ||||||||
\(506\) | −6.33154 | − | 7.70866i | −0.281471 | − | 0.342692i | ||||
\(507\) | 0.520031i | 0.0230954i | ||||||||
\(508\) | −24.4053 | + | 13.2590i | −1.08281 | + | 0.588271i | ||||
\(509\) | 12.1113 | − | 18.8455i | 0.536822 | − | 0.835312i | −0.461843 | − | 0.886962i | \(-0.652812\pi\) |
0.998665 | + | 0.0516497i | \(0.0164479\pi\) | |||||||
\(510\) | 13.2616 | + | 22.4055i | 0.587233 | + | 0.992132i | ||||
\(511\) | −2.53724 | + | 5.55579i | −0.112241 | + | 0.245774i | ||||
\(512\) | 1.02410 | − | 22.6042i | 0.0452593 | − | 0.998975i | ||||
\(513\) | −5.91181 | − | 1.73586i | −0.261013 | − | 0.0766403i | ||||
\(514\) | −12.9381 | + | 38.7353i | −0.570676 | + | 1.70854i | ||||
\(515\) | −11.9693 | + | 5.46618i | −0.527429 | + | 0.240869i | ||||
\(516\) | 1.49457 | + | 21.5409i | 0.0657949 | + | 0.948284i | ||||
\(517\) | 12.0736 | + | 10.4618i | 0.530994 | + | 0.460109i | ||||
\(518\) | −9.54969 | − | 0.351241i | −0.419589 | − | 0.0154326i | ||||
\(519\) | 3.41743 | − | 1.00345i | 0.150009 | − | 0.0440465i | ||||
\(520\) | −14.7766 | + | 18.2173i | −0.647995 | + | 0.798881i | ||||
\(521\) | −2.17750 | + | 1.39940i | −0.0953982 | + | 0.0613087i | −0.587470 | − | 0.809246i | \(-0.699876\pi\) |
0.492072 | + | 0.870555i | \(0.336240\pi\) | |||||||
\(522\) | −0.793752 | − | 1.92207i | −0.0347416 | − | 0.0841267i | ||||
\(523\) | −2.60895 | + | 0.375111i | −0.114082 | + | 0.0164025i | −0.199119 | − | 0.979975i | \(-0.563808\pi\) |
0.0850375 | + | 0.996378i | \(0.472899\pi\) | |||||||
\(524\) | −22.7881 | + | 30.3067i | −0.995501 | + | 1.32395i | ||||
\(525\) | −0.314016 | − | 0.0451487i | −0.0137048 | − | 0.00197045i | ||||
\(526\) | −15.2023 | + | 1.61806i | −0.662852 | + | 0.0705507i | ||||
\(527\) | −34.3619 | − | 39.6558i | −1.49683 | − | 1.72743i | ||||
\(528\) | −5.34116 | − | 2.46675i | −0.232444 | − | 0.107351i | ||||
\(529\) | 22.9950 | − | 0.478010i | 0.999784 | − | 0.0207831i | ||||
\(530\) | −5.50269 | + | 4.42470i | −0.239022 | + | 0.192197i | ||||
\(531\) | −6.26767 | + | 5.43096i | −0.271994 | + | 0.235684i | ||||
\(532\) | −5.39821 | − | 5.42123i | −0.234042 | − | 0.235040i | ||||
\(533\) | −11.2403 | − | 1.61610i | −0.486869 | − | 0.0700013i | ||||
\(534\) | 8.24714 | − | 2.09562i | 0.356889 | − | 0.0906861i | ||||
\(535\) | 1.69819 | + | 11.8112i | 0.0734193 | + | 0.510643i | ||||
\(536\) | −30.5487 | + | 5.41098i | −1.31950 | + | 0.233719i | ||||
\(537\) | −9.42527 | + | 6.05725i | −0.406730 | + | 0.261390i | ||||
\(538\) | 3.58361 | − | 7.14016i | 0.154501 | − | 0.307834i | ||||
\(539\) | −2.74092 | − | 9.33471i | −0.118060 | − | 0.402074i | ||||
\(540\) | −2.80566 | − | 3.76460i | −0.120737 | − | 0.162003i | ||||
\(541\) | 23.5737 | + | 20.4267i | 1.01351 | + | 0.878213i | 0.992583 | − | 0.121568i | \(-0.0387922\pi\) |
0.0209289 | + | 0.999781i | \(0.493338\pi\) | |||||||
\(542\) | −1.64428 | + | 2.36284i | −0.0706277 | + | 0.101493i | ||||
\(543\) | −7.97311 | − | 17.4587i | −0.342159 | − | 0.749223i | ||||
\(544\) | −30.4020 | + | 32.3077i | −1.30347 | + | 1.38518i | ||||
\(545\) | −0.954015 | − | 0.280124i | −0.0408655 | − | 0.0119992i | ||||
\(546\) | 2.26789 | + | 2.11599i | 0.0970566 | + | 0.0905558i | ||||
\(547\) | −17.5355 | − | 8.00817i | −0.749762 | − | 0.342405i | 0.00361524 | − | 0.999993i | \(-0.498849\pi\) |
−0.753377 | + | 0.657589i | \(0.771577\pi\) | |||||||
\(548\) | −19.1017 | − | 7.17092i | −0.815986 | − | 0.306326i | ||||
\(549\) | −6.43853 | + | 10.0186i | −0.274790 | + | 0.427581i | ||||
\(550\) | 0.189831 | − | 1.04580i | 0.00809444 | − | 0.0445929i | ||||
\(551\) | 9.05996 | 0.385967 | ||||||||
\(552\) | 12.0858 | − | 6.15896i | 0.514407 | − | 0.262143i | ||||
\(553\) | 2.72362 | 0.115820 | ||||||||
\(554\) | −0.0543116 | + | 0.299207i | −0.00230748 | + | 0.0127121i | ||||
\(555\) | 13.8137 | − | 21.4945i | 0.586358 | − | 0.912391i | ||||
\(556\) | 7.19409 | − | 19.1635i | 0.305097 | − | 0.812712i | ||||
\(557\) | 7.75655 | + | 3.54230i | 0.328656 | + | 0.150092i | 0.572908 | − | 0.819620i | \(-0.305815\pi\) |
−0.244252 | + | 0.969712i | \(0.578543\pi\) | |||||||
\(558\) | 6.91857 | + | 6.45517i | 0.292887 | + | 0.273269i | ||||
\(559\) | 36.5952 | + | 10.7453i | 1.54781 | + | 0.454479i | ||||
\(560\) | −0.805109 | − | 5.77398i | −0.0340221 | − | 0.243995i | ||||
\(561\) | 4.79166 | + | 10.4923i | 0.202304 | + | 0.442984i | ||||
\(562\) | 15.2667 | − | 21.9384i | 0.643986 | − | 0.925414i | ||||
\(563\) | 0.233124 | + | 0.202003i | 0.00982499 | + | 0.00851341i | 0.659759 | − | 0.751477i | \(-0.270658\pi\) |
−0.649934 | + | 0.759990i | \(0.725204\pi\) | |||||||
\(564\) | −17.4182 | + | 12.9814i | −0.733438 | + | 0.546614i | ||||
\(565\) | 1.93447 | + | 6.58819i | 0.0813836 | + | 0.277167i | ||||
\(566\) | −1.84351 | + | 3.67309i | −0.0774883 | + | 0.154391i | ||||
\(567\) | −0.522286 | + | 0.335653i | −0.0219340 | + | 0.0140961i | ||||
\(568\) | 3.96113 | + | 22.3633i | 0.166205 | + | 0.938344i | ||||
\(569\) | −4.42555 | − | 30.7804i | −0.185529 | − | 1.29038i | −0.843414 | − | 0.537263i | \(-0.819458\pi\) |
0.657886 | − | 0.753118i | \(-0.271451\pi\) | |||||||
\(570\) | 19.8254 | − | 5.03767i | 0.830395 | − | 0.211005i | ||||
\(571\) | −14.0182 | − | 2.01552i | −0.586645 | − | 0.0843468i | −0.157400 | − | 0.987535i | \(-0.550311\pi\) |
−0.429245 | + | 0.903188i | \(0.641220\pi\) | |||||||
\(572\) | −7.36380 | + | 7.33253i | −0.307896 | + | 0.306589i | ||||
\(573\) | −8.02067 | + | 6.94995i | −0.335068 | + | 0.290338i | ||||
\(574\) | 2.19947 | − | 1.76859i | 0.0918042 | − | 0.0738196i | ||||
\(575\) | 1.62398 | + | 1.83528i | 0.0677246 | + | 0.0765366i | ||||
\(576\) | 4.83500 | − | 6.37360i | 0.201458 | − | 0.265567i | ||||
\(577\) | −19.7456 | − | 22.7877i | −0.822021 | − | 0.948663i | 0.177349 | − | 0.984148i | \(-0.443248\pi\) |
−0.999370 | + | 0.0354848i | \(0.988702\pi\) | |||||||
\(578\) | 62.5821 | − | 6.66093i | 2.60307 | − | 0.277058i | ||||
\(579\) | −7.08596 | − | 1.01881i | −0.294482 | − | 0.0423402i | ||||
\(580\) | 5.51801 | + | 4.14908i | 0.229123 | + | 0.172281i | ||||
\(581\) | −0.965717 | + | 0.138849i | −0.0400647 | + | 0.00576043i | ||||
\(582\) | 5.74388 | + | 13.9088i | 0.238091 | + | 0.576537i | ||||
\(583\) | −2.63161 | + | 1.69123i | −0.108990 | + | 0.0700436i | ||||
\(584\) | 17.5287 | − | 21.6103i | 0.725343 | − | 0.894239i | ||||
\(585\) | −7.95726 | + | 2.33646i | −0.328992 | + | 0.0966008i | ||||
\(586\) | −16.7558 | − | 0.616285i | −0.692176 | − | 0.0254585i | ||||
\(587\) | −2.86764 | − | 2.48482i | −0.118360 | − | 0.102560i | 0.593670 | − | 0.804709i | \(-0.297679\pi\) |
−0.712030 | + | 0.702149i | \(0.752224\pi\) | |||||||
\(588\) | 13.1974 | − | 0.915675i | 0.544251 | − | 0.0377618i | ||||
\(589\) | −37.4997 | + | 17.1256i | −1.54515 | + | 0.705646i | ||||
\(590\) | 8.72278 | − | 26.1150i | 0.359111 | − | 1.07514i | ||||
\(591\) | 10.9357 | + | 3.21101i | 0.449834 | + | 0.132083i | ||||
\(592\) | 41.7197 | + | 12.4431i | 1.71467 | + | 0.511408i | ||||
\(593\) | 7.58029 | − | 16.5985i | 0.311285 | − | 0.681620i | −0.687731 | − | 0.725966i | \(-0.741393\pi\) |
0.999016 | + | 0.0443460i | \(0.0141204\pi\) | |||||||
\(594\) | −1.05948 | − | 1.79000i | −0.0434711 | − | 0.0734446i | ||||
\(595\) | −6.17946 | + | 9.61543i | −0.253333 | + | 0.394194i | ||||
\(596\) | 0.319761 | + | 0.588573i | 0.0130979 | + | 0.0241089i | ||||
\(597\) | − | 23.9807i | − | 0.981467i | ||||||
\(598\) | −2.78331 | − | 23.7977i | −0.113818 | − | 0.973161i | ||||
\(599\) | −24.5221 | −1.00194 | −0.500972 | − | 0.865463i | \(-0.667024\pi\) | ||||
−0.500972 | + | 0.865463i | \(0.667024\pi\) | |||||||
\(600\) | 1.33351 | + | 0.557352i | 0.0544404 | + | 0.0227538i | ||||
\(601\) | 4.76683 | + | 3.06346i | 0.194443 | + | 0.124961i | 0.634240 | − | 0.773136i | \(-0.281313\pi\) |
−0.439797 | + | 0.898097i | \(0.644950\pi\) | |||||||
\(602\) | −8.15741 | + | 4.82829i | −0.332471 | + | 0.196786i | ||||
\(603\) | −9.97750 | − | 4.55657i | −0.406315 | − | 0.185558i | ||||
\(604\) | −1.31462 | − | 0.0968357i | −0.0534913 | − | 0.00394019i | ||||
\(605\) | −5.84443 | + | 19.9043i | −0.237610 | + | 0.809225i | ||||
\(606\) | −1.68058 | + | 5.03145i | −0.0682687 | + | 0.204389i | ||||
\(607\) | 6.48020 | + | 14.1896i | 0.263023 | + | 0.575940i | 0.994358 | − | 0.106079i | \(-0.0338295\pi\) |
−0.731335 | + | 0.682019i | \(0.761102\pi\) | |||||||
\(608\) | 17.6253 | + | 30.0692i | 0.714800 | + | 1.21947i | ||||
\(609\) | 0.597831 | − | 0.689934i | 0.0242253 | − | 0.0279575i | ||||
\(610\) | 1.45322 | − | 39.5107i | 0.0588390 | − | 1.59974i | ||||
\(611\) | 10.8104 | + | 36.8169i | 0.437343 | + | 1.48945i | ||||
\(612\) | −15.3333 | + | 3.30140i | −0.619811 | + | 0.133451i | ||||
\(613\) | 4.90650 | + | 7.63466i | 0.198171 | + | 0.308361i | 0.926090 | − | 0.377303i | \(-0.123148\pi\) |
−0.727918 | + | 0.685664i | \(0.759512\pi\) | |||||||
\(614\) | −16.8172 | − | 40.7227i | −0.678686 | − | 1.64344i | ||||
\(615\) | 1.07393 | + | 7.46937i | 0.0433052 | + | 0.301194i | ||||
\(616\) | −0.0839466 | − | 2.58140i | −0.00338230 | − | 0.104008i | ||||
\(617\) | −0.767278 | + | 5.33654i | −0.0308895 | + | 0.214841i | −0.999420 | − | 0.0340538i | \(-0.989158\pi\) |
0.968531 | + | 0.248895i | \(0.0800673\pi\) | |||||||
\(618\) | −0.838959 | − | 7.88236i | −0.0337479 | − | 0.317075i | ||||
\(619\) | −15.2560 | + | 13.2194i | −0.613189 | + | 0.531332i | −0.905146 | − | 0.425100i | \(-0.860239\pi\) |
0.291957 | + | 0.956431i | \(0.405694\pi\) | |||||||
\(620\) | −30.6822 | − | 6.74291i | −1.23223 | − | 0.270802i | ||||
\(621\) | 4.75385 | + | 0.633150i | 0.190766 | + | 0.0254074i | ||||
\(622\) | −32.9626 | + | 26.5051i | −1.32168 | + | 1.06276i | ||||
\(623\) | 2.44628 | + | 2.82316i | 0.0980081 | + | 0.113107i | ||||
\(624\) | −7.58903 | − | 11.9200i | −0.303804 | − | 0.477181i | ||||
\(625\) | 3.88432 | − | 27.0160i | 0.155373 | − | 1.08064i | ||||
\(626\) | 2.11314 | + | 8.31610i | 0.0844580 | + | 0.332378i | ||||
\(627\) | 8.97003 | − | 1.28970i | 0.358229 | − | 0.0515055i | ||||
\(628\) | −8.08516 | − | 4.43719i | −0.322633 | − | 0.177063i | ||||
\(629\) | −46.1466 | − | 71.8055i | −1.83999 | − | 2.86307i | ||||
\(630\) | 0.924571 | − | 1.84216i | 0.0368358 | − | 0.0733933i | ||||
\(631\) | −2.66112 | + | 0.781376i | −0.105938 | + | 0.0311061i | −0.334272 | − | 0.942477i | \(-0.608490\pi\) |
0.228334 | + | 0.973583i | \(0.426672\pi\) | |||||||
\(632\) | −12.0130 | − | 3.10699i | −0.477850 | − | 0.123590i | ||||
\(633\) | 1.47380 | − | 1.70086i | 0.0585785 | − | 0.0676032i | ||||
\(634\) | −17.6977 | − | 12.3157i | −0.702867 | − | 0.489118i | ||||
\(635\) | 29.6548 | − | 13.5429i | 1.17682 | − | 0.537434i | ||||
\(636\) | −1.47803 | − | 3.98865i | −0.0586076 | − | 0.158160i | ||||
\(637\) | 6.58331 | − | 22.4207i | 0.260840 | − | 0.888340i | ||||
\(638\) | 2.23634 | + | 2.08656i | 0.0885377 | + | 0.0826076i | ||||
\(639\) | −3.33566 | + | 7.30408i | −0.131957 | + | 0.288945i | ||||
\(640\) | −3.03566 | + | 26.3854i | −0.119995 | + | 1.04298i | ||||
\(641\) | −0.590385 | − | 0.379417i | −0.0233188 | − | 0.0149861i | 0.528929 | − | 0.848666i | \(-0.322594\pi\) |
−0.552248 | + | 0.833680i | \(0.686230\pi\) | |||||||
\(642\) | −7.07290 | − | 1.28386i | −0.279145 | − | 0.0506700i | ||||
\(643\) | 21.5081i | 0.848198i | 0.905616 | + | 0.424099i | \(0.139409\pi\) | ||||
−0.905616 | + | 0.424099i | \(0.860591\pi\) | |||||||
\(644\) | 4.79649 | + | 3.52913i | 0.189008 | + | 0.139067i | ||||
\(645\) | − | 25.3449i | − | 0.997955i | ||||||
\(646\) | 12.2045 | − | 67.2356i | 0.480180 | − | 2.64535i | ||||
\(647\) | 35.7089 | + | 22.9487i | 1.40386 | + | 0.902207i | 0.999921 | − | 0.0125778i | \(-0.00400375\pi\) |
0.403941 | + | 0.914785i | \(0.367640\pi\) | |||||||
\(648\) | 2.68652 | − | 0.884646i | 0.105537 | − | 0.0347522i | ||||
\(649\) | 5.06720 | − | 11.0956i | 0.198905 | − | 0.435542i | ||||
\(650\) | 1.74158 | − | 1.86661i | 0.0683105 | − | 0.0732143i | ||||
\(651\) | −1.17031 | + | 3.98572i | −0.0458682 | + | 0.156213i | ||||
\(652\) | 21.1108 | − | 7.82280i | 0.826764 | − | 0.306365i | ||||
\(653\) | 10.0969 | − | 4.61111i | 0.395123 | − | 0.180447i | −0.207937 | − | 0.978142i | \(-0.566675\pi\) |
0.603061 | + | 0.797695i | \(0.293948\pi\) | |||||||
\(654\) | 0.342136 | − | 0.491652i | 0.0133786 | − | 0.0192251i | ||||
\(655\) | 29.1462 | − | 33.6365i | 1.13883 | − | 1.31429i | ||||
\(656\) | −11.7186 | + | 5.29157i | −0.457536 | + | 0.206601i | ||||
\(657\) | 9.43931 | − | 2.77163i | 0.368262 | − | 0.108132i | ||||
\(658\) | −8.52337 | − | 4.27784i | −0.332275 | − | 0.166767i | ||||
\(659\) | −9.19486 | − | 14.3075i | −0.358181 | − | 0.557341i | 0.614667 | − | 0.788787i | \(-0.289291\pi\) |
−0.972848 | + | 0.231446i | \(0.925654\pi\) | |||||||
\(660\) | 6.05387 | + | 3.32240i | 0.235647 | + | 0.129324i | ||||
\(661\) | 15.6341 | − | 2.24784i | 0.608096 | − | 0.0874310i | 0.168613 | − | 0.985682i | \(-0.446071\pi\) |
0.439482 | + | 0.898251i | \(0.355162\pi\) | |||||||
\(662\) | −10.9049 | + | 2.77096i | −0.423831 | + | 0.107696i | ||||
\(663\) | −3.94278 | + | 27.4226i | −0.153125 | + | 1.06501i | ||||
\(664\) | 4.41783 | + | 0.489234i | 0.171445 | + | 0.0189860i | ||||
\(665\) | 5.88064 | + | 6.78662i | 0.228041 | + | 0.263174i | ||||
\(666\) | 9.64538 | + | 11.9953i | 0.373751 | + | 0.464808i | ||||
\(667\) | −6.96940 | + | 1.07609i | −0.269856 | + | 0.0416663i | ||||
\(668\) | −5.14244 | + | 23.3996i | −0.198967 | + | 0.905357i | ||||
\(669\) | 3.05731 | − | 2.64917i | 0.118202 | − | 0.102423i | ||||
\(670\) | 36.2109 | − | 3.85411i | 1.39895 | − | 0.148897i | ||||
\(671\) | 2.49280 | − | 17.3378i | 0.0962333 | − | 0.669317i | ||||
\(672\) | 3.45285 | + | 0.641946i | 0.133197 | + | 0.0247636i | ||||
\(673\) | −2.23174 | − | 15.5221i | −0.0860273 | − | 0.598333i | −0.986542 | − | 0.163507i | \(-0.947719\pi\) |
0.900515 | − | 0.434825i | \(-0.143190\pi\) | |||||||
\(674\) | −16.7259 | + | 6.90726i | −0.644258 | + | 0.266058i | ||||
\(675\) | 0.276263 | + | 0.429873i | 0.0106334 | + | 0.0165458i | ||||
\(676\) | 1.01676 | − | 0.218918i | 0.0391062 | − | 0.00841992i | ||||
\(677\) | 6.33352 | + | 21.5700i | 0.243417 | + | 0.829002i | 0.987050 | + | 0.160414i | \(0.0512828\pi\) |
−0.743633 | + | 0.668588i | \(0.766899\pi\) | |||||||
\(678\) | −4.13362 | − | 0.152036i | −0.158751 | − | 0.00583891i | ||||
\(679\) | −4.32612 | + | 4.99261i | −0.166021 | + | 0.191599i | ||||
\(680\) | 38.2243 | − | 35.3610i | 1.46584 | − | 1.35603i | ||||
\(681\) | 5.69621 | + | 12.4730i | 0.218279 | + | 0.477965i | ||||
\(682\) | −13.2005 | − | 4.40914i | −0.505472 | − | 0.168835i | ||||
\(683\) | 11.3086 | − | 38.5136i | 0.432712 | − | 1.47368i | −0.398211 | − | 0.917294i | \(-0.630369\pi\) |
0.830923 | − | 0.556388i | \(-0.187813\pi\) | |||||||
\(684\) | −0.905248 | + | 12.2895i | −0.0346130 | + | 0.469900i | ||||
\(685\) | 21.7848 | + | 9.94878i | 0.832354 | + | 0.380123i | ||||
\(686\) | 6.08864 | + | 10.2868i | 0.232466 | + | 0.392751i | ||||
\(687\) | 24.4244 | + | 15.6966i | 0.931848 | + | 0.598863i | ||||
\(688\) | 41.4874 | − | 11.9903i | 1.58169 | − | 0.457125i | ||||
\(689\) | −7.51350 | −0.286242 | ||||||||
\(690\) | −14.6524 | + | 6.22998i | −0.557807 | + | 0.237171i | ||||
\(691\) | − | 6.77370i | − | 0.257684i | −0.991665 | − | 0.128842i | \(-0.958874\pi\) | ||
0.991665 | − | 0.128842i | \(-0.0411260\pi\) | |||||||
\(692\) | −3.40058 | − | 6.25932i | −0.129271 | − | 0.237944i | ||||
\(693\) | 0.493684 | − | 0.768187i | 0.0187535 | − | 0.0291810i | ||||
\(694\) | −24.5437 | + | 14.5272i | −0.931668 | + | 0.551445i | ||||
\(695\) | −9.98093 | + | 21.8552i | −0.378598 | + | 0.829014i | ||||
\(696\) | −3.42387 | + | 2.36108i | −0.129781 | + | 0.0894964i | ||||
\(697\) | 24.1880 | + | 7.10223i | 0.916185 | + | 0.269016i | ||||
\(698\) | 28.4299 | + | 9.49599i | 1.07609 | + | 0.359428i | ||||
\(699\) | 12.5158 | − | 5.71578i | 0.473391 | − | 0.216190i | ||||
\(700\) | 0.0439173 | + | 0.632969i | 0.00165992 | + | 0.0239240i | ||||
\(701\) | 11.9096 | + | 10.3197i | 0.449820 | + | 0.389771i | 0.850100 | − | 0.526622i | \(-0.176542\pi\) |
−0.400280 | + | 0.916393i | \(0.631087\pi\) | |||||||
\(702\) | 0.183630 | − | 4.99262i | 0.00693068 | − | 0.188434i | ||||
\(703\) | −64.3438 | + | 18.8930i | −2.42677 | + | 0.712564i | ||||
\(704\) | −2.57450 | + | 11.4814i | −0.0970300 | + | 0.432723i | ||||
\(705\) | 21.4507 | − | 13.7855i | 0.807879 | − | 0.519192i | ||||
\(706\) | 16.9569 | − | 7.00267i | 0.638183 | − | 0.263549i | ||||
\(707\) | −2.30507 | + | 0.331419i | −0.0866911 | + | 0.0124643i | ||||
\(708\) | 13.2571 | + | 9.96822i | 0.498232 | + | 0.374629i | ||||
\(709\) | 43.7026 | + | 6.28348i | 1.64128 | + | 0.235981i | 0.900215 | − | 0.435446i | \(-0.143409\pi\) |
0.741070 | + | 0.671428i | \(0.234319\pi\) | |||||||
\(710\) | −2.82142 | − | 26.5084i | −0.105886 | − | 0.994842i | ||||
\(711\) | −2.87286 | − | 3.31545i | −0.107741 | − | 0.124339i | ||||
\(712\) | −7.56915 | − | 15.2426i | −0.283666 | − | 0.571240i | ||||
\(713\) | 26.8127 | − | 17.6279i | 1.00414 | − | 0.660169i | ||||
\(714\) | −4.31480 | − | 5.36601i | −0.161477 | − | 0.200818i | ||||
\(715\) | 9.21845 | − | 7.98783i | 0.344750 | − | 0.298728i | ||||
\(716\) | 15.8109 | + | 15.8783i | 0.590880 | + | 0.593400i | ||||
\(717\) | −9.35462 | − | 1.34499i | −0.349355 | − | 0.0502296i | ||||
\(718\) | −11.2925 | − | 44.4408i | −0.421432 | − | 1.65851i | ||||
\(719\) | −1.74402 | − | 12.1299i | −0.0650409 | − | 0.452370i | −0.996153 | − | 0.0876355i | \(-0.972069\pi\) |
0.931112 | − | 0.364734i | \(-0.118840\pi\) | |||||||
\(720\) | −6.17942 | + | 7.07041i | −0.230293 | + | 0.263499i | ||||
\(721\) | 2.92749 | − | 1.88139i | 0.109026 | − | 0.0700665i | ||||
\(722\) | −23.9680 | − | 12.0294i | −0.891996 | − | 0.447689i | ||||
\(723\) | 6.83902 | + | 23.2916i | 0.254346 | + | 0.866222i | ||||
\(724\) | −30.7786 | + | 22.9386i | −1.14388 | + | 0.852505i | ||||
\(725\) | −0.567857 | − | 0.492051i | −0.0210897 | − | 0.0182743i | ||||
\(726\) | −10.2577 | − | 7.13823i | −0.380699 | − | 0.264924i | ||||
\(727\) | −8.19441 | − | 17.9433i | −0.303914 | − | 0.665478i | 0.694633 | − | 0.719364i | \(-0.255567\pi\) |
−0.998547 | + | 0.0538855i | \(0.982839\pi\) | |||||||
\(728\) | 3.18245 | − | 5.32493i | 0.117949 | − | 0.197355i | ||||
\(729\) | 0.959493 | + | 0.281733i | 0.0355368 | + | 0.0104345i | ||||
\(730\) | −22.2811 | + | 23.8806i | −0.824662 | + | 0.883862i | ||||
\(731\) | −77.0171 | − | 35.1725i | −2.84858 | − | 1.30090i | ||||
\(732\) | 22.2987 | + | 8.37106i | 0.824182 | + | 0.309403i | ||||
\(733\) | 1.48670 | − | 2.31336i | 0.0549127 | − | 0.0854458i | −0.812712 | − | 0.582666i | \(-0.802010\pi\) |
0.867624 | + | 0.497220i | \(0.165646\pi\) | |||||||
\(734\) | 6.46780 | + | 1.17403i | 0.238731 | + | 0.0433341i | ||||
\(735\) | −15.5280 | −0.572759 | ||||||||
\(736\) | −17.1297 | − | 21.0374i | −0.631411 | − | 0.775448i | ||||
\(737\) | 16.1330 | 0.594266 | ||||||||
\(738\) | −4.47289 | − | 0.811912i | −0.164649 | − | 0.0298869i | ||||
\(739\) | −20.9413 | + | 32.5853i | −0.770339 | + | 1.19867i | 0.205173 | + | 0.978726i | \(0.434224\pi\) |
−0.975512 | + | 0.219945i | \(0.929412\pi\) | |||||||
\(740\) | −47.8411 | − | 17.9599i | −1.75867 | − | 0.660218i | ||||
\(741\) | 19.7994 | + | 9.04207i | 0.727348 | + | 0.332169i | ||||
\(742\) | 1.27392 | − | 1.36537i | 0.0467670 | − | 0.0501243i | ||||
\(743\) | 19.0052 | + | 5.58043i | 0.697233 | + | 0.204726i | 0.611095 | − | 0.791557i | \(-0.290729\pi\) |
0.0861381 | + | 0.996283i | \(0.472547\pi\) | |||||||
\(744\) | 9.70859 | − | 16.2446i | 0.355934 | − | 0.595556i | ||||
\(745\) | −0.326609 | − | 0.715174i | −0.0119660 | − | 0.0262019i | ||||
\(746\) | 14.6193 | + | 10.1734i | 0.535249 | + | 0.372475i | ||||
\(747\) | 1.18765 | + | 1.02911i | 0.0434539 | + | 0.0376530i | ||||
\(748\) | 18.4973 | − | 13.7856i | 0.676327 | − | 0.504050i | ||||
\(749\) | −0.889080 | − | 3.02793i | −0.0324863 | − | 0.110638i | ||||
\(750\) | 13.3197 | + | 6.68512i | 0.486368 | + | 0.244106i | ||||
\(751\) | 17.9101 | − | 11.5101i | 0.653549 | − | 0.420010i | −0.171413 | − | 0.985199i | \(-0.554833\pi\) |
0.824961 | + | 0.565189i | \(0.191197\pi\) | |||||||
\(752\) | 32.7136 | + | 28.5912i | 1.19294 | + | 1.04261i | ||||
\(753\) | −0.733015 | − | 5.09823i | −0.0267126 | − | 0.185790i | ||||
\(754\) | 1.80922 | + | 7.12004i | 0.0658878 | + | 0.259297i | ||||
\(755\) | 1.53151 | + | 0.220197i | 0.0557372 | + | 0.00801380i | ||||
\(756\) | 0.876134 | + | 0.879871i | 0.0318647 | + | 0.0320006i | ||||
\(757\) | −13.5843 | + | 11.7708i | −0.493728 | + | 0.427818i | −0.865803 | − | 0.500385i | \(-0.833192\pi\) |
0.372075 | + | 0.928203i | \(0.378646\pi\) | |||||||
\(758\) | −2.09293 | − | 2.60284i | −0.0760188 | − | 0.0945392i | ||||
\(759\) | −6.74704 | + | 2.05751i | −0.244902 | + | 0.0746828i | ||||
\(760\) | −18.1956 | − | 36.6418i | −0.660022 | − | 1.32914i | ||||
\(761\) | −32.4388 | − | 37.4363i | −1.17590 | − | 1.35707i | −0.920744 | − | 0.390166i | \(-0.872418\pi\) |
−0.255159 | − | 0.966899i | \(-0.582128\pi\) | |||||||
\(762\) | 2.07859 | + | 19.5292i | 0.0752993 | + | 0.707467i | ||||
\(763\) | 0.260278 | + | 0.0374223i | 0.00942269 | + | 0.00135478i | ||||
\(764\) | 16.9650 | + | 12.7562i | 0.613771 | + | 0.461504i | ||||
\(765\) | 18.2229 | − | 2.62005i | 0.658849 | − | 0.0947282i | ||||
\(766\) | −7.02261 | + | 2.90011i | −0.253737 | + | 0.104785i | ||||
\(767\) | 24.6469 | − | 15.8396i | 0.889946 | − | 0.571934i | ||||
\(768\) | −14.4970 | − | 6.77027i | −0.523116 | − | 0.244301i | ||||
\(769\) | −40.4371 | + | 11.8734i | −1.45820 | + | 0.428166i | −0.912244 | − | 0.409648i | \(-0.865652\pi\) |
−0.545956 | + | 0.837814i | \(0.683833\pi\) | |||||||
\(770\) | −0.111427 | + | 3.02954i | −0.00401557 | + | 0.109177i | ||||
\(771\) | 21.8241 | + | 18.9107i | 0.785977 | + | 0.681053i | ||||
\(772\) | 0.991020 | + | 14.2833i | 0.0356676 | + | 0.514068i | ||||
\(773\) | −9.76369 | + | 4.45893i | −0.351175 | + | 0.160376i | −0.583190 | − | 0.812336i | \(-0.698196\pi\) |
0.232014 | + | 0.972712i | \(0.425468\pi\) | |||||||
\(774\) | 14.4818 | + | 4.83714i | 0.520539 | + | 0.173867i | ||||
\(775\) | 3.28049 | + | 0.963239i | 0.117839 | + | 0.0346006i | ||||
\(776\) | 24.7763 | − | 17.0856i | 0.889419 | − | 0.613337i | ||||
\(777\) | −2.80705 | + | 6.14658i | −0.100702 | + | 0.220507i | ||||
\(778\) | 16.0145 | − | 9.47883i | 0.574148 | − | 0.339833i | ||||
\(779\) | 10.7078 | − | 16.6617i | 0.383647 | − | 0.596966i | ||||
\(780\) | 7.91801 | + | 14.5744i | 0.283510 | + | 0.521847i | ||||
\(781\) | − | 11.8102i | − | 0.422603i | ||||||
\(782\) | −1.40252 | + | 53.1708i | −0.0501540 | + | 1.90138i | ||||
\(783\) | −1.47044 | −0.0525493 | ||||||||
\(784\) | −7.34604 | − | 25.4180i | −0.262359 | − | 0.907784i | ||||
\(785\) | 9.10690 | + | 5.85265i | 0.325039 | + | 0.208890i | ||||
\(786\) | 13.6569 | + | 23.0734i | 0.487127 | + | 0.823002i | ||||
\(787\) | 41.1089 | + | 18.7738i | 1.46537 | + | 0.669213i | 0.978873 | − | 0.204468i | \(-0.0655464\pi\) |
0.486499 | + | 0.873681i | \(0.338274\pi\) | |||||||
\(788\) | 1.67453 | − | 22.7331i | 0.0596527 | − | 0.809835i | ||||
\(789\) | −3.04563 | + | 10.3725i | −0.108427 | + | 0.369270i | ||||
\(790\) | 13.8143 | + | 4.61416i | 0.491489 | + | 0.164164i | ||||
\(791\) | −0.754351 | − | 1.65180i | −0.0268216 | − | 0.0587312i | ||||
\(792\) | −3.05378 | + | 2.82503i | −0.108511 | + | 0.100383i | ||||
\(793\) | 27.5508 | − | 31.7953i | 0.978357 | − | 1.12908i | ||||
\(794\) | 20.7276 | + | 0.762368i | 0.735595 | + | 0.0270554i | ||||
\(795\) | 1.40666 | + | 4.79063i | 0.0498889 | + | 0.169906i | ||||
\(796\) | −46.8870 | + | 10.0952i | −1.66187 | + | 0.357815i | ||||
\(797\) | 9.65906 | + | 15.0298i | 0.342141 | + | 0.532383i | 0.969099 | − | 0.246671i | \(-0.0793366\pi\) |
−0.626958 | + | 0.779053i | \(0.715700\pi\) | |||||||
\(798\) | −5.00014 | + | 2.06490i | −0.177003 | + | 0.0730965i | ||||
\(799\) | −12.1226 | − | 84.3142i | −0.428865 | − | 2.98282i | ||||
\(800\) | 0.528360 | − | 2.84190i | 0.0186803 | − | 0.100476i | ||||
\(801\) | 0.856299 | − | 5.95569i | 0.0302558 | − | 0.210434i | ||||
\(802\) | −43.8418 | + | 4.66630i | −1.54811 | + | 0.164773i | ||||
\(803\) | −10.9354 | + | 9.47558i | −0.385902 | + | 0.334386i | ||||
\(804\) | −4.70874 | + | 21.4261i | −0.166064 | + | 0.755641i | ||||
\(805\) | −5.32977 | − | 4.52216i | −0.187850 | − | 0.159385i | ||||
\(806\) | −20.9471 | − | 26.0504i | −0.737830 | − | 0.917587i | ||||
\(807\) | −3.69936 | − | 4.26929i | −0.130224 | − | 0.150286i | ||||
\(808\) | 10.5449 | + | 1.16775i | 0.370970 | + | 0.0410814i | ||||
\(809\) | 5.70234 | − | 39.6607i | 0.200484 | − | 1.39439i | −0.602369 | − | 0.798217i | \(-0.705777\pi\) |
0.802853 | − | 0.596177i | \(-0.203314\pi\) | |||||||
\(810\) | −3.21768 | + | 0.817619i | −0.113058 | + | 0.0287282i | ||||
\(811\) | −15.3594 | + | 2.20835i | −0.539341 | + | 0.0775456i | −0.406602 | − | 0.913605i | \(-0.633286\pi\) |
−0.132739 | + | 0.991151i | \(0.542377\pi\) | |||||||
\(812\) | −1.60062 | − | 0.878433i | −0.0561709 | − | 0.0308269i | ||||
\(813\) | 1.10048 | + | 1.71238i | 0.0385956 | + | 0.0600559i | ||||
\(814\) | −20.2337 | − | 10.1552i | −0.709190 | − | 0.355939i | ||||
\(815\) | −25.3555 | + | 7.44504i | −0.888164 | + | 0.260788i | ||||
\(816\) | 12.9097 | + | 28.5897i | 0.451931 | + | 1.00084i | ||||
\(817\) | −43.5616 | + | 50.2728i | −1.52403 | + | 1.75882i | ||||
\(818\) | 27.3816 | − | 39.3475i | 0.957374 | − | 1.37575i | ||||
\(819\) | 1.99505 | − | 0.911110i | 0.0697128 | − | 0.0318368i | ||||
\(820\) | 14.1520 | − | 5.24414i | 0.494209 | − | 0.183133i | ||||
\(821\) | −9.70493 | + | 33.0520i | −0.338704 | + | 1.15352i | 0.597442 | + | 0.801912i | \(0.296184\pi\) |
−0.936147 | + | 0.351609i | \(0.885635\pi\) | |||||||
\(822\) | −9.84231 | + | 10.5489i | −0.343290 | + | 0.367934i | ||||
\(823\) | −8.44944 | + | 18.5017i | −0.294529 | + | 0.644929i | −0.997821 | − | 0.0659719i | \(-0.978985\pi\) |
0.703292 | + | 0.710901i | \(0.251712\pi\) | |||||||
\(824\) | −15.0584 | + | 4.95858i | −0.524583 | + | 0.172740i | ||||
\(825\) | −0.632264 | − | 0.406331i | −0.0220126 | − | 0.0141466i | ||||
\(826\) | −1.30049 | + | 7.16449i | −0.0452498 | + | 0.249284i | ||||
\(827\) | 13.2350i | 0.460227i | 0.973164 | + | 0.230114i | \(0.0739098\pi\) | ||||
−0.973164 | + | 0.230114i | \(0.926090\pi\) | |||||||
\(828\) | −0.763306 | − | 9.56124i | −0.0265267 | − | 0.332276i | ||||
\(829\) | 55.4131i | 1.92458i | 0.272030 | + | 0.962289i | \(0.412305\pi\) | ||||
−0.272030 | + | 0.962289i | \(0.587695\pi\) | |||||||
\(830\) | −5.13336 | − | 0.931800i | −0.178181 | − | 0.0323432i | ||||
\(831\) | 0.180893 | + | 0.116253i | 0.00627512 | + | 0.00403277i | ||||
\(832\) | −20.1111 | + | 19.8560i | −0.697228 | + | 0.688383i | ||||
\(833\) | −21.5490 | + | 47.1858i | −0.746630 | + | 1.63489i | ||||
\(834\) | −10.5829 | − | 9.87411i | −0.366458 | − | 0.341913i | ||||
\(835\) | 7.92268 | − | 26.9822i | 0.274176 | − | 0.933757i | ||||
\(836\) | −6.29773 | − | 16.9952i | −0.217812 | − | 0.587792i | ||||
\(837\) | 6.08624 | − | 2.77949i | 0.210371 | − | 0.0960734i | ||||
\(838\) | 18.6375 | + | 12.9697i | 0.643823 | + | 0.448030i | ||||
\(839\) | 27.9523 | − | 32.2586i | 0.965020 | − | 1.11369i | −0.0284501 | − | 0.999595i | \(-0.509057\pi\) |
0.993470 | − | 0.114097i | \(-0.0363974\pi\) | |||||||
\(840\) | −3.99099 | − | 1.03222i | −0.137702 | − | 0.0356149i | ||||
\(841\) | −25.7507 | + | 7.56108i | −0.887955 | + | 0.260727i | ||||
\(842\) | −9.84235 | + | 19.6104i | −0.339190 | + | 0.675818i | ||||
\(843\) | −10.2177 | − | 15.8991i | −0.351917 | − | 0.547593i | ||||
\(844\) | −3.94594 | − | 2.16556i | −0.135825 | − | 0.0745416i | ||||
\(845\) | −1.20837 | + | 0.173738i | −0.0415693 | + | 0.00597676i | ||||
\(846\) | 3.78299 | + | 14.8877i | 0.130062 | + | 0.511849i | ||||
\(847\) | 0.780768 | − | 5.43036i | 0.0268275 | − | 0.186589i | ||||
\(848\) | −7.17637 | + | 4.56894i | −0.246438 | + | 0.156898i | ||||
\(849\) | 1.90305 | + | 2.19623i | 0.0653124 | + | 0.0753746i | ||||
\(850\) | −4.41655 | + | 3.55134i | −0.151486 | + | 0.121810i | ||||
\(851\) | 47.2526 | − | 22.1759i | 1.61980 | − | 0.760179i | ||||
\(852\) | 15.6851 | + | 3.44705i | 0.537363 | + | 0.118094i | ||||
\(853\) | 13.6514 | − | 11.8290i | 0.467415 | − | 0.405017i | −0.389055 | − | 0.921215i | \(-0.627198\pi\) |
0.856470 | + | 0.516197i | \(0.172653\pi\) | |||||||
\(854\) | 1.10666 | + | 10.3975i | 0.0378691 | + | 0.355795i | ||||
\(855\) | 2.05847 | − | 14.3170i | 0.0703981 | − | 0.489629i | ||||
\(856\) | 0.467289 | + | 14.3694i | 0.0159716 | + | 0.491135i | ||||
\(857\) | 4.93422 | + | 34.3183i | 0.168550 | + | 1.17229i | 0.881884 | + | 0.471466i | \(0.156275\pi\) |
−0.713335 | + | 0.700824i | \(0.752816\pi\) | |||||||
\(858\) | 2.80480 | + | 6.79183i | 0.0957545 | + | 0.231869i | ||||
\(859\) | 26.6083 | + | 41.4034i | 0.907865 | + | 1.41267i | 0.910881 | + | 0.412670i | \(0.135404\pi\) |
−0.00301565 | + | 0.999995i | \(0.500960\pi\) | |||||||
\(860\) | −49.5542 | + | 10.6695i | −1.68979 | + | 0.363826i | ||||
\(861\) | −0.562252 | − | 1.91486i | −0.0191615 | − | 0.0652581i | ||||
\(862\) | −0.265363 | + | 7.21480i | −0.00903830 | + | 0.245737i | ||||
\(863\) | −5.65736 | + | 6.52894i | −0.192579 | + | 0.222248i | −0.843825 | − | 0.536619i | \(-0.819701\pi\) |
0.651246 | + | 0.758867i | \(0.274247\pi\) | |||||||
\(864\) | −2.86060 | − | 4.88026i | −0.0973197 | − | 0.166030i | ||||
\(865\) | 3.47341 | + | 7.60570i | 0.118099 | + | 0.258601i | ||||
\(866\) | −8.37057 | + | 25.0605i | −0.284444 | + | 0.851592i | ||||
\(867\) | 12.5377 | − | 42.6995i | 0.425803 | − | 1.45015i | ||||
\(868\) | 8.28553 | + | 0.610315i | 0.281229 | + | 0.0207154i | ||||
\(869\) | 5.86934 | + | 2.68044i | 0.199104 | + | 0.0909276i | ||||
\(870\) | 4.20104 | − | 2.48655i | 0.142429 | − | 0.0843021i | ||||
\(871\) | 32.5979 | + | 20.9494i | 1.10454 | + | 0.709843i | ||||
\(872\) | −1.10531 | − | 0.461971i | −0.0374304 | − | 0.0156443i | ||||
\(873\) | 10.6406 | 0.360131 | ||||||||
\(874\) | 39.7715 | + | 12.8264i | 1.34529 | + | 0.433859i | ||||
\(875\) | 6.54255i | 0.221179i | ||||||||
\(876\) | −9.39275 | − | 17.2889i | −0.317352 | − | 0.584138i | ||||
\(877\) | −29.7322 | + | 46.2642i | −1.00399 | + | 1.56223i | −0.189638 | + | 0.981854i | \(0.560731\pi\) |
−0.814347 | + | 0.580378i | \(0.802905\pi\) | |||||||
\(878\) | −9.57859 | − | 16.1831i | −0.323262 | − | 0.546152i | ||||
\(879\) | −4.92523 | + | 10.7847i | −0.166124 | + | 0.363760i | ||||
\(880\) | 3.94744 | − | 13.2351i | 0.133068 | − | 0.446156i | ||||
\(881\) | 16.0298 | + | 4.70677i | 0.540058 | + | 0.158575i | 0.540374 | − | 0.841425i | \(-0.318283\pi\) |
−0.000316639 | 1.00000i | \(0.500101\pi\) | ||||||||
\(882\) | 2.96355 | − | 8.87254i | 0.0997881 | − | 0.298754i | ||||
\(883\) | 17.8080 | − | 8.13266i | 0.599288 | − | 0.273686i | −0.0925850 | − | 0.995705i | \(-0.529513\pi\) |
0.691873 | + | 0.722019i | \(0.256786\pi\) | |||||||
\(884\) | 55.2763 | − | 3.83524i | 1.85914 | − | 0.128993i | ||||
\(885\) | −14.7137 | − | 12.7495i | −0.494594 | − | 0.428568i | ||||
\(886\) | 13.9392 | + | 0.512690i | 0.468297 | + | 0.0172241i | ||||
\(887\) | −36.0277 | + | 10.5787i | −1.20969 | + | 0.355198i | −0.823551 | − | 0.567242i | \(-0.808010\pi\) |
−0.386141 | + | 0.922440i | \(0.626192\pi\) | |||||||
\(888\) | 19.3927 | − | 23.9083i | 0.650775 | − | 0.802308i | ||||
\(889\) | −7.25310 | + | 4.66128i | −0.243261 | + | 0.156334i | ||||
\(890\) | 7.62479 | + | 18.4634i | 0.255583 | + | 0.618894i | ||||
\(891\) | −1.45585 | + | 0.209319i | −0.0487727 | + | 0.00701245i | ||||
\(892\) | −6.46669 | − | 4.86240i | −0.216521 | − | 0.162805i | ||||
\(893\) | −66.2422 | − | 9.52419i | −2.21671 | − | 0.318715i | ||||
\(894\) | 0.470977 | − | 0.0501285i | 0.0157518 | − | 0.00167655i | ||||
\(895\) | −17.2239 | − | 19.8774i | −0.575730 | − | 0.664428i | ||||
\(896\) | −0.198423 | − | 7.02123i | −0.00662883 | − | 0.234563i | ||||
\(897\) | −16.3047 | − | 4.60399i | −0.544397 | − | 0.153723i | ||||
\(898\) | 22.3366 | − | 17.9608i | 0.745382 | − | 0.599360i | ||||
\(899\) | −7.43548 | + | 6.44288i | −0.247987 | + | 0.214882i | ||||
\(900\) | 0.724186 | − | 0.721111i | 0.0241395 | − | 0.0240370i | ||||
\(901\) | 16.5096 | + | 2.37373i | 0.550016 | + | 0.0790804i | ||||
\(902\) | 6.48036 | − | 1.64667i | 0.215772 | − | 0.0548282i | ||||
\(903\) | 0.953911 | + | 6.63460i | 0.0317442 | + | 0.220786i | ||||
\(904\) | 1.44288 | + | 8.14604i | 0.0479894 | + | 0.270933i | ||||
\(905\) | 37.9042 | − | 24.3595i | 1.25998 | − | 0.809739i | ||||
\(906\) | −0.418110 | + | 0.833062i | −0.0138908 | + | 0.0276766i | ||||
\(907\) | −11.3622 | − | 38.6960i | −0.377274 | − | 1.28488i | −0.901307 | − | 0.433180i | \(-0.857391\pi\) |
0.524033 | − | 0.851698i | \(-0.324427\pi\) | |||||||
\(908\) | 21.9891 | − | 16.3880i | 0.729735 | − | 0.543854i | ||||
\(909\) | 2.83481 | + | 2.45637i | 0.0940246 | + | 0.0814728i | ||||
\(910\) | −4.15914 | + | 5.97672i | −0.137874 | + | 0.198126i | ||||
\(911\) | 14.5130 | + | 31.7790i | 0.480836 | + | 1.05288i | 0.982233 | + | 0.187666i | \(0.0600924\pi\) |
−0.501397 | + | 0.865217i | \(0.667180\pi\) | |||||||
\(912\) | 24.4094 | − | 3.40359i | 0.808277 | − | 0.112704i | ||||
\(913\) | −2.21774 | − | 0.651188i | −0.0733966 | − | 0.0215512i | ||||
\(914\) | −41.8398 | − | 39.0374i | −1.38394 | − | 1.29124i | ||||
\(915\) | −25.4307 | − | 11.6138i | −0.840714 | − | 0.383941i | ||||
\(916\) | 20.4079 | − | 54.3622i | 0.674297 | − | 1.79618i | ||||
\(917\) | −6.36368 | + | 9.90208i | −0.210147 | + | 0.326995i | ||||
\(918\) | −1.98080 | + | 10.9124i | −0.0653763 | + | 0.360163i | ||||
\(919\) | 23.4988 | 0.775155 | 0.387577 | − | 0.921837i | \(-0.373312\pi\) | ||||
0.387577 | + | 0.921837i | \(0.373312\pi\) | |||||||
\(920\) | 18.3491 | + | 26.0256i | 0.604951 | + | 0.858040i | ||||
\(921\) | −31.1541 | −1.02656 | ||||||||
\(922\) | −6.74427 | + | 37.1547i | −0.222111 | + | 1.22363i | ||||
\(923\) | 15.3361 | − | 23.8634i | 0.504794 | − | 0.785475i | ||||
\(924\) | −1.70978 | − | 0.641863i | −0.0562477 | − | 0.0211157i | ||||
\(925\) | 5.05900 | + | 2.31037i | 0.166339 | + | 0.0759645i | ||||
\(926\) | 12.4829 | + | 11.6468i | 0.410214 | + | 0.382739i | ||||
\(927\) | −5.37810 | − | 1.57915i | −0.176640 | − | 0.0518662i | ||||
\(928\) | 6.05771 | + | 5.70039i | 0.198854 | + | 0.187124i | ||||
\(929\) | 10.0525 | + | 22.0119i | 0.329812 | + | 0.722187i | 0.999796 | − | 0.0201884i | \(-0.00642660\pi\) |
−0.669985 | + | 0.742375i | \(0.733699\pi\) | |||||||
\(930\) | −12.6882 | + | 18.2330i | −0.416061 | + | 0.597883i | ||||
\(931\) | 30.8005 | + | 26.6888i | 1.00944 | + | 0.874689i | ||||
\(932\) | −16.4442 | − | 22.0646i | −0.538649 | − | 0.722751i | ||||
\(933\) | 8.42624 | + | 28.6971i | 0.275863 | + | 0.939502i | ||||
\(934\) | 10.7790 | − | 21.4766i | 0.352700 | − | 0.702735i | ||||
\(935\) | −22.7796 | + | 14.6395i | −0.744971 | + | 0.478764i | ||||
\(936\) | −9.83884 | + | 1.74272i | −0.321592 | + | 0.0569625i | ||||
\(937\) | −1.73601 | − | 12.0742i | −0.0567131 | − | 0.394449i | −0.998330 | − | 0.0577631i | \(-0.981603\pi\) |
0.941617 | − | 0.336685i | \(-0.109306\pi\) | |||||||
\(938\) | −9.33396 | + | 2.37178i | −0.304765 | + | 0.0774413i | ||||
\(939\) | 6.00549 | + | 0.863459i | 0.195982 | + | 0.0281779i | ||||
\(940\) | −35.9834 | − | 36.1369i | −1.17365 | − | 1.17866i | ||||
\(941\) | 37.7045 | − | 32.6712i | 1.22913 | − | 1.06505i | 0.233436 | − | 0.972372i | \(-0.425003\pi\) |
0.995696 | − | 0.0926771i | \(-0.0295424\pi\) | |||||||
\(942\) | −5.08222 | + | 4.08660i | −0.165588 | + | 0.133149i | ||||
\(943\) | −6.25803 | + | 14.0888i | −0.203790 | + | 0.458796i | ||||
\(944\) | 13.9089 | − | 30.1165i | 0.452698 | − | 0.980209i | ||||
\(945\) | −0.954433 | − | 1.10147i | −0.0310477 | − | 0.0358310i | ||||
\(946\) | −22.3308 | + | 2.37678i | −0.726035 | + | 0.0772756i | ||||
\(947\) | 34.4331 | + | 4.95074i | 1.11893 | + | 0.160877i | 0.676865 | − | 0.736107i | \(-0.263338\pi\) |
0.442062 | + | 0.896985i | \(0.354247\pi\) | |||||||
\(948\) | −5.27297 | + | 7.01271i | −0.171258 | + | 0.227762i | ||||
\(949\) | −34.4003 | + | 4.94601i | −1.11668 | + | 0.160554i | ||||
\(950\) | 1.69953 | + | 4.11541i | 0.0551401 | + | 0.133522i | ||||
\(951\) | −12.8258 | + | 8.24265i | −0.415906 | + | 0.267286i | ||||
\(952\) | −8.67518 | + | 10.6952i | −0.281164 | + | 0.346633i | ||||
\(953\) | −51.3985 | + | 15.0920i | −1.66496 | + | 0.488876i | −0.972563 | − | 0.232641i | \(-0.925263\pi\) |
−0.692397 | + | 0.721517i | \(0.743445\pi\) | |||||||
\(954\) | −3.00578 | − | 0.110554i | −0.0973157 | − | 0.00357931i | ||||
\(955\) | −18.8289 | − | 16.3154i | −0.609290 | − | 0.527952i | ||||
\(956\) | 1.30831 | + | 18.8563i | 0.0423138 | + | 0.609857i | ||||
\(957\) | 1.96730 | − | 0.898438i | 0.0635939 | − | 0.0290424i | ||||
\(958\) | 9.93987 | − | 29.7588i | 0.321143 | − | 0.961464i | ||||
\(959\) | −6.07710 | − | 1.78440i | −0.196240 | − | 0.0576212i | ||||
\(960\) | 16.4254 | + | 9.10552i | 0.530127 | + | 0.293879i | ||||
\(961\) | 5.71942 | − | 12.5238i | 0.184497 | − | 0.403993i | ||||
\(962\) | −27.6967 | − | 46.7937i | −0.892978 | − | 1.50869i | ||||
\(963\) | −2.74809 | + | 4.27611i | −0.0885560 | + | 0.137796i | ||||
\(964\) | 42.6605 | − | 23.1767i | 1.37400 | − | 0.746471i | ||||
\(965\) | − | 16.8057i | − | 0.540995i | ||||||
\(966\) | 3.60111 | − | 2.18231i | 0.115864 | − | 0.0702148i | ||||
\(967\) | 34.8725 | 1.12142 | 0.560711 | − | 0.828011i | \(-0.310528\pi\) | ||||
0.560711 | + | 0.828011i | \(0.310528\pi\) | |||||||
\(968\) | −9.63842 | + | 23.0608i | −0.309791 | + | 0.741201i | ||||
\(969\) | −40.6491 | − | 26.1236i | −1.30584 | − | 0.839210i | ||||
\(970\) | −30.4002 | + | 17.9936i | −0.976092 | + | 0.577739i | ||||
\(971\) | −39.5317 | − | 18.0535i | −1.26863 | − | 0.579366i | −0.336570 | − | 0.941659i | \(-0.609267\pi\) |
−0.932064 | + | 0.362293i | \(0.881994\pi\) | |||||||
\(972\) | 0.146923 | − | 1.99460i | 0.00471255 | − | 0.0639767i | ||||
\(973\) | 1.79016 | − | 6.09674i | 0.0573900 | − | 0.195452i | ||||
\(974\) | 1.50950 | − | 4.51928i | 0.0483676 | − | 0.144807i | ||||
\(975\) | −0.749898 | − | 1.64205i | −0.0240160 | − | 0.0525876i | ||||
\(976\) | 6.97994 | − | 47.1222i | 0.223423 | − | 1.50834i | ||||
\(977\) | 3.51558 | − | 4.05720i | 0.112473 | − | 0.129801i | −0.696721 | − | 0.717342i | \(-0.745358\pi\) |
0.809194 | + | 0.587541i | \(0.199904\pi\) | |||||||
\(978\) | 0.585130 | − | 15.9088i | 0.0187104 | − | 0.508707i | ||||
\(979\) | 2.49328 | + | 8.49132i | 0.0796855 | + | 0.271384i | ||||
\(980\) | 6.53684 | + | 30.3602i | 0.208812 | + | 0.969822i | ||||
\(981\) | −0.228985 | − | 0.356308i | −0.00731094 | − | 0.0113760i | ||||
\(982\) | −7.99542 | − | 19.3609i | −0.255144 | − | 0.617831i | ||||
\(983\) | −3.70409 | − | 25.7625i | −0.118142 | − | 0.821697i | −0.959599 | − | 0.281372i | \(-0.909210\pi\) |
0.841456 | − | 0.540325i | \(-0.181699\pi\) | |||||||
\(984\) | 0.295512 | + | 9.08716i | 0.00942059 | + | 0.289688i | ||||
\(985\) | −3.80776 | + | 26.4835i | −0.121325 | + | 0.843836i | ||||
\(986\) | −1.72602 | − | 16.2167i | −0.0549677 | − | 0.516444i | ||||
\(987\) | −5.09634 | + | 4.41601i | −0.162218 | + | 0.140563i | ||||
\(988\) | 9.34403 | − | 42.5181i | 0.297273 | − | 1.35268i | ||||
\(989\) | 27.5388 | − | 43.8465i | 0.875683 | − | 1.39424i | ||||
\(990\) | 3.80538 | − | 3.05989i | 0.120943 | − | 0.0972498i | ||||
\(991\) | 7.06823 | + | 8.15717i | 0.224530 | + | 0.259121i | 0.856826 | − | 0.515605i | \(-0.172433\pi\) |
−0.632296 | + | 0.774727i | \(0.717888\pi\) | |||||||
\(992\) | −35.8484 | − | 12.1437i | −1.13819 | − | 0.385562i | ||||
\(993\) | −1.13225 | + | 7.87500i | −0.0359310 | + | 0.249905i | ||||
\(994\) | 1.73627 | + | 6.83297i | 0.0550712 | + | 0.216729i | ||||
\(995\) | 55.7230 | − | 8.01176i | 1.76654 | − | 0.253990i | ||||
\(996\) | 1.51213 | − | 2.75531i | 0.0479138 | − | 0.0873054i | ||||
\(997\) | −4.76682 | − | 7.41731i | −0.150967 | − | 0.234909i | 0.757531 | − | 0.652800i | \(-0.226406\pi\) |
−0.908497 | + | 0.417891i | \(0.862769\pi\) | |||||||
\(998\) | 5.38329 | − | 10.7259i | 0.170405 | − | 0.339523i | ||||
\(999\) | 10.4431 | − | 3.06636i | 0.330404 | − | 0.0970153i |
(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 | 552.2.bb.a.13.2 | ✓ | 480 | |
8.5 | even | 2 | inner | 552.2.bb.a.13.25 | yes | 480 | |
23.16 | even | 11 | inner | 552.2.bb.a.85.25 | yes | 480 | |
184.85 | even | 22 | inner | 552.2.bb.a.85.2 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.bb.a.13.2 | ✓ | 480 | 1.1 | even | 1 | trivial | |
552.2.bb.a.13.25 | yes | 480 | 8.5 | even | 2 | inner | |
552.2.bb.a.85.2 | yes | 480 | 184.85 | even | 22 | inner | |
552.2.bb.a.85.25 | yes | 480 | 23.16 | even | 11 | inner |