Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(112,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.112");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.m (of order \(20\), degree \(8\), not 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{20})\) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 282.2 | ||
Character | \(\chi\) | \(=\) | 605.282 |
Dual form | 605.2.m.e.118.2 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{7}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.482327 | + | 0.0763931i | −0.341057 | + | 0.0540181i | −0.324614 | − | 0.945847i | \(-0.605234\pi\) |
−0.0164432 | + | 0.999865i | \(0.505234\pi\) | |||||||
\(3\) | 0.517260 | + | 1.01518i | 0.298640 | + | 0.586114i | 0.990753 | − | 0.135675i | \(-0.0433202\pi\) |
−0.692114 | + | 0.721789i | \(0.743320\pi\) | |||||||
\(4\) | −1.67531 | + | 0.544341i | −0.837655 | + | 0.272170i | ||||
\(5\) | 2.05331 | − | 0.885381i | 0.918270 | − | 0.395954i | ||||
\(6\) | −0.327041 | − | 0.450133i | −0.133514 | − | 0.183766i | ||||
\(7\) | 2.59854 | + | 1.32402i | 0.982157 | + | 0.500434i | 0.869891 | − | 0.493244i | \(-0.164189\pi\) |
0.112266 | + | 0.993678i | \(0.464189\pi\) | |||||||
\(8\) | 1.63669 | − | 0.833936i | 0.578658 | − | 0.294841i | ||||
\(9\) | 1.00032 | − | 1.37683i | 0.333442 | − | 0.458943i | ||||
\(10\) | −0.922733 | + | 0.583903i | −0.291794 | + | 0.184646i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | −1.41917 | − | 1.41917i | −0.409680 | − | 0.409680i | ||||
\(13\) | −0.457808 | − | 2.89049i | −0.126973 | − | 0.801677i | −0.966181 | − | 0.257866i | \(-0.916981\pi\) |
0.839208 | − | 0.543811i | \(-0.183019\pi\) | |||||||
\(14\) | −1.35449 | − | 0.440102i | −0.362004 | − | 0.117622i | ||||
\(15\) | 1.96092 | + | 1.62651i | 0.506306 | + | 0.419963i | ||||
\(16\) | 2.12449 | − | 1.54353i | 0.531123 | − | 0.385884i | ||||
\(17\) | 0.824113 | − | 5.20325i | 0.199877 | − | 1.26197i | −0.659920 | − | 0.751336i | \(-0.729410\pi\) |
0.859797 | − | 0.510636i | \(-0.170590\pi\) | |||||||
\(18\) | −0.377304 | + | 0.740500i | −0.0889313 | + | 0.174538i | ||||
\(19\) | −1.26677 | + | 3.89873i | −0.290618 | + | 0.894429i | 0.694041 | + | 0.719936i | \(0.255829\pi\) |
−0.984658 | + | 0.174494i | \(0.944171\pi\) | |||||||
\(20\) | −2.95799 | + | 2.60099i | −0.661426 | + | 0.581599i | ||||
\(21\) | 3.32285i | 0.725105i | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.12046 | + | 2.12046i | −0.442147 | + | 0.442147i | −0.892733 | − | 0.450586i | \(-0.851215\pi\) |
0.450586 | + | 0.892733i | \(0.351215\pi\) | |||||||
\(24\) | 1.69319 | + | 1.23017i | 0.345621 | + | 0.251108i | ||||
\(25\) | 3.43220 | − | 3.63593i | 0.686440 | − | 0.727186i | ||||
\(26\) | 0.441627 | + | 1.35919i | 0.0866101 | + | 0.266558i | ||||
\(27\) | 5.29116 | + | 0.838037i | 1.01828 | + | 0.161280i | ||||
\(28\) | −5.07408 | − | 0.803656i | −0.958912 | − | 0.151877i | ||||
\(29\) | −0.817241 | − | 2.51521i | −0.151758 | − | 0.467063i | 0.846060 | − | 0.533088i | \(-0.178968\pi\) |
−0.997818 | + | 0.0660248i | \(0.978968\pi\) | |||||||
\(30\) | −1.07006 | − | 0.634710i | −0.195365 | − | 0.115882i | ||||
\(31\) | 5.45328 | + | 3.96204i | 0.979438 | + | 0.711603i | 0.957583 | − | 0.288158i | \(-0.0930429\pi\) |
0.0218548 | + | 0.999761i | \(0.493043\pi\) | |||||||
\(32\) | −3.50456 | + | 3.50456i | −0.619524 | + | 0.619524i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.57262i | 0.441201i | ||||||||
\(35\) | 6.50789 | + | 0.417937i | 1.10003 | + | 0.0706442i | ||||
\(36\) | −0.926389 | + | 2.85113i | −0.154398 | + | 0.475189i | ||||
\(37\) | −0.528116 | + | 1.03649i | −0.0868218 | + | 0.170397i | −0.930335 | − | 0.366712i | \(-0.880484\pi\) |
0.843513 | + | 0.537109i | \(0.180484\pi\) | |||||||
\(38\) | 0.313163 | − | 1.97724i | 0.0508018 | − | 0.320750i | ||||
\(39\) | 2.69755 | − | 1.95989i | 0.431954 | − | 0.313833i | ||||
\(40\) | 2.62229 | − | 3.16143i | 0.414621 | − | 0.499866i | ||||
\(41\) | 3.38136 | + | 1.09867i | 0.528080 | + | 0.171584i | 0.560909 | − | 0.827877i | \(-0.310452\pi\) |
−0.0328289 | + | 0.999461i | \(0.510452\pi\) | |||||||
\(42\) | −0.253843 | − | 1.60270i | −0.0391688 | − | 0.247302i | ||||
\(43\) | 5.07292 | + | 5.07292i | 0.773613 | + | 0.773613i | 0.978736 | − | 0.205123i | \(-0.0657595\pi\) |
−0.205123 | + | 0.978736i | \(0.565759\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.834964 | − | 3.71273i | 0.124469 | − | 0.553461i | ||||
\(46\) | 0.860769 | − | 1.18475i | 0.126913 | − | 0.174681i | ||||
\(47\) | −3.28041 | + | 1.67145i | −0.478497 | + | 0.243806i | −0.676566 | − | 0.736382i | \(-0.736533\pi\) |
0.198070 | + | 0.980188i | \(0.436533\pi\) | |||||||
\(48\) | 2.66588 | + | 1.35833i | 0.384786 | + | 0.196058i | ||||
\(49\) | 0.884888 | + | 1.21794i | 0.126413 | + | 0.173992i | ||||
\(50\) | −1.37768 | + | 2.01591i | −0.194834 | + | 0.285092i | ||||
\(51\) | 5.70851 | − | 1.85481i | 0.799351 | − | 0.259725i | ||||
\(52\) | 2.34038 | + | 4.59325i | 0.324552 | + | 0.636970i | ||||
\(53\) | −1.45955 | + | 0.231169i | −0.200484 | + | 0.0317536i | −0.255869 | − | 0.966712i | \(-0.582361\pi\) |
0.0553847 | + | 0.998465i | \(0.482361\pi\) | |||||||
\(54\) | −2.61609 | −0.356005 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 5.35716 | 0.715881 | ||||||||
\(57\) | −4.61316 | + | 0.730652i | −0.611028 | + | 0.0967773i | ||||
\(58\) | 0.586323 | + | 1.15072i | 0.0769879 | + | 0.151097i | ||||
\(59\) | −1.52672 | + | 0.496061i | −0.198762 | + | 0.0645817i | −0.406706 | − | 0.913559i | \(-0.633323\pi\) |
0.207944 | + | 0.978141i | \(0.433323\pi\) | |||||||
\(60\) | −4.17052 | − | 1.65750i | −0.538412 | − | 0.213982i | ||||
\(61\) | 4.07810 | + | 5.61302i | 0.522147 | + | 0.718674i | 0.985908 | − | 0.167286i | \(-0.0535004\pi\) |
−0.463761 | + | 0.885960i | \(0.653500\pi\) | |||||||
\(62\) | −2.93294 | − | 1.49441i | −0.372483 | − | 0.189790i | ||||
\(63\) | 4.42234 | − | 2.25330i | 0.557163 | − | 0.283889i | ||||
\(64\) | −1.66445 | + | 2.29092i | −0.208056 | + | 0.286365i | ||||
\(65\) | −3.49920 | − | 5.52974i | −0.434023 | − | 0.685880i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.31471 | + | 1.31471i | 0.160617 | + | 0.160617i | 0.782840 | − | 0.622223i | \(-0.213770\pi\) |
−0.622223 | + | 0.782840i | \(0.713770\pi\) | |||||||
\(68\) | 1.45170 | + | 9.16564i | 0.176044 | + | 1.11150i | ||||
\(69\) | −3.24948 | − | 1.05582i | −0.391192 | − | 0.127106i | ||||
\(70\) | −3.17086 | + | 0.295576i | −0.378990 | + | 0.0353281i | ||||
\(71\) | −2.32441 | + | 1.68878i | −0.275857 | + | 0.200422i | −0.717108 | − | 0.696962i | \(-0.754535\pi\) |
0.441251 | + | 0.897384i | \(0.354535\pi\) | |||||||
\(72\) | 0.489036 | − | 3.08765i | 0.0576334 | − | 0.363883i | ||||
\(73\) | −6.71992 | + | 13.1886i | −0.786507 | + | 1.54361i | 0.0519568 | + | 0.998649i | \(0.483454\pi\) |
−0.838464 | + | 0.544957i | \(0.816546\pi\) | |||||||
\(74\) | 0.175544 | − | 0.540270i | 0.0204066 | − | 0.0628051i | ||||
\(75\) | 5.46646 | + | 1.60358i | 0.631212 | + | 0.185165i | ||||
\(76\) | − | 7.22113i | − | 0.828321i | ||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −1.15138 | + | 1.15138i | −0.130368 | + | 0.130368i | ||||
\(79\) | −12.3342 | − | 8.96129i | −1.38770 | − | 1.00822i | −0.996113 | − | 0.0880839i | \(-0.971926\pi\) |
−0.391589 | − | 0.920140i | \(-0.628074\pi\) | |||||||
\(80\) | 2.99564 | − | 5.05035i | 0.334922 | − | 0.564646i | ||||
\(81\) | 0.308439 | + | 0.949277i | 0.0342710 | + | 0.105475i | ||||
\(82\) | −1.71486 | − | 0.271606i | −0.189374 | − | 0.0299939i | ||||
\(83\) | −6.60041 | − | 1.04540i | −0.724489 | − | 0.114748i | −0.216711 | − | 0.976236i | \(-0.569533\pi\) |
−0.507778 | + | 0.861488i | \(0.669533\pi\) | |||||||
\(84\) | −1.80876 | − | 5.56680i | −0.197352 | − | 0.607388i | ||||
\(85\) | −2.91469 | − | 11.4136i | −0.316143 | − | 1.23797i | ||||
\(86\) | −2.83434 | − | 2.05927i | −0.305635 | − | 0.222057i | ||||
\(87\) | 2.13066 | − | 2.13066i | 0.228431 | − | 0.228431i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | − | 11.1726i | − | 1.18429i | −0.805830 | − | 0.592147i | \(-0.798281\pi\) | ||
0.805830 | − | 0.592147i | \(-0.201719\pi\) | |||||||
\(90\) | −0.119098 | + | 1.85454i | −0.0125541 | + | 0.195485i | ||||
\(91\) | 2.63744 | − | 8.11720i | 0.276479 | − | 0.850914i | ||||
\(92\) | 2.39818 | − | 4.70669i | 0.250027 | − | 0.490706i | ||||
\(93\) | −1.20142 | + | 7.58545i | −0.124581 | + | 0.786575i | ||||
\(94\) | 1.45454 | − | 1.05679i | 0.150025 | − | 0.108999i | ||||
\(95\) | 0.850775 | + | 9.12689i | 0.0872876 | + | 0.936399i | ||||
\(96\) | −5.37052 | − | 1.74499i | −0.548126 | − | 0.178097i | ||||
\(97\) | −1.57505 | − | 9.94447i | −0.159922 | − | 1.00971i | −0.928873 | − | 0.370400i | \(-0.879221\pi\) |
0.768951 | − | 0.639308i | \(-0.220779\pi\) | |||||||
\(98\) | −0.519848 | − | 0.519848i | −0.0525126 | − | 0.0525126i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.77081 | + | 7.95960i | −0.377081 | + | 0.795960i | ||||
\(101\) | 1.12216 | − | 1.54452i | 0.111659 | − | 0.153686i | −0.749530 | − | 0.661971i | \(-0.769720\pi\) |
0.861189 | + | 0.508285i | \(0.169720\pi\) | |||||||
\(102\) | −2.61167 | + | 1.33071i | −0.258594 | + | 0.131760i | ||||
\(103\) | −5.49869 | − | 2.80172i | −0.541802 | − | 0.276062i | 0.161597 | − | 0.986857i | \(-0.448335\pi\) |
−0.703399 | + | 0.710795i | \(0.748335\pi\) | |||||||
\(104\) | −3.15977 | − | 4.34905i | −0.309841 | − | 0.426459i | ||||
\(105\) | 2.94199 | + | 6.82286i | 0.287109 | + | 0.665842i | ||||
\(106\) | 0.686319 | − | 0.222999i | 0.0666612 | − | 0.0216595i | ||||
\(107\) | −0.197726 | − | 0.388059i | −0.0191149 | − | 0.0375151i | 0.881252 | − | 0.472647i | \(-0.156702\pi\) |
−0.900367 | + | 0.435132i | \(0.856702\pi\) | |||||||
\(108\) | −9.32051 | + | 1.47622i | −0.896866 | + | 0.142050i | ||||
\(109\) | 9.46672 | 0.906748 | 0.453374 | − | 0.891320i | \(-0.350220\pi\) | ||||
0.453374 | + | 0.891320i | \(0.350220\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.32539 | −0.125801 | ||||||||
\(112\) | 7.56426 | − | 1.19806i | 0.714755 | − | 0.113206i | ||||
\(113\) | 9.20080 | + | 18.0576i | 0.865538 | + | 1.69871i | 0.701999 | + | 0.712178i | \(0.252291\pi\) |
0.163539 | + | 0.986537i | \(0.447709\pi\) | |||||||
\(114\) | 2.16923 | − | 0.704827i | 0.203167 | − | 0.0660131i | ||||
\(115\) | −2.47656 | + | 6.23140i | −0.230941 | + | 0.581081i | ||||
\(116\) | 2.73826 | + | 3.76890i | 0.254241 | + | 0.349933i | ||||
\(117\) | −4.43766 | − | 2.26110i | −0.410262 | − | 0.209039i | ||||
\(118\) | 0.698483 | − | 0.355895i | 0.0643005 | − | 0.0327628i | ||||
\(119\) | 9.03071 | − | 12.4297i | 0.827844 | − | 1.13943i | ||||
\(120\) | 4.56582 | + | 1.02682i | 0.416800 | + | 0.0937351i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | −2.39578 | − | 2.39578i | −0.216903 | − | 0.216903i | ||||
\(123\) | 0.633694 | + | 4.00099i | 0.0571383 | + | 0.360757i | ||||
\(124\) | −11.2926 | − | 3.66920i | −1.01411 | − | 0.329504i | ||||
\(125\) | 3.82821 | − | 10.5045i | 0.342405 | − | 0.939552i | ||||
\(126\) | −1.96088 | + | 1.42466i | −0.174689 | + | 0.126919i | ||||
\(127\) | −1.47513 | + | 9.31359i | −0.130896 | + | 0.826447i | 0.831644 | + | 0.555309i | \(0.187400\pi\) |
−0.962540 | + | 0.271138i | \(0.912600\pi\) | |||||||
\(128\) | 5.12793 | − | 10.0641i | 0.453249 | − | 0.889551i | ||||
\(129\) | −2.52591 | + | 7.77394i | −0.222394 | + | 0.684457i | ||||
\(130\) | 2.11020 | + | 2.39983i | 0.185076 | + | 0.210479i | ||||
\(131\) | − | 7.51676i | − | 0.656743i | −0.944549 | − | 0.328371i | \(-0.893500\pi\) | ||
0.944549 | − | 0.328371i | \(-0.106500\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −8.45377 | + | 8.45377i | −0.733035 | + | 0.733035i | ||||
\(134\) | −0.734554 | − | 0.533685i | −0.0634558 | − | 0.0461034i | ||||
\(135\) | 11.6064 | − | 2.96394i | 0.998920 | − | 0.255095i | ||||
\(136\) | −2.99035 | − | 9.20336i | −0.256421 | − | 0.789182i | ||||
\(137\) | −15.1801 | − | 2.40429i | −1.29692 | − | 0.205413i | −0.530466 | − | 0.847706i | \(-0.677983\pi\) |
−0.766458 | + | 0.642294i | \(0.777983\pi\) | |||||||
\(138\) | 1.64797 | + | 0.261013i | 0.140285 | + | 0.0222189i | ||||
\(139\) | −1.28625 | − | 3.95867i | −0.109098 | − | 0.335770i | 0.881572 | − | 0.472049i | \(-0.156486\pi\) |
−0.990670 | + | 0.136279i | \(0.956486\pi\) | |||||||
\(140\) | −11.1302 | + | 2.84234i | −0.940676 | + | 0.240221i | ||||
\(141\) | −3.39364 | − | 2.46563i | −0.285796 | − | 0.207643i | ||||
\(142\) | 0.992116 | − | 0.992116i | 0.0832565 | − | 0.0832565i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | − | 4.46910i | − | 0.372425i | ||||||
\(145\) | −3.90497 | − | 4.44095i | −0.324290 | − | 0.368801i | ||||
\(146\) | 2.23368 | − | 6.87457i | 0.184861 | − | 0.568943i | ||||
\(147\) | −0.778714 | + | 1.52831i | −0.0642273 | + | 0.126053i | ||||
\(148\) | 0.320556 | − | 2.02391i | 0.0263495 | − | 0.166364i | ||||
\(149\) | 14.5440 | − | 10.5669i | 1.19149 | − | 0.865672i | 0.198073 | − | 0.980187i | \(-0.436532\pi\) |
0.993421 | + | 0.114516i | \(0.0365316\pi\) | |||||||
\(150\) | −2.75912 | − | 0.355850i | −0.225282 | − | 0.0290550i | ||||
\(151\) | −16.9214 | − | 5.49808i | −1.37704 | − | 0.447427i | −0.475345 | − | 0.879800i | \(-0.657677\pi\) |
−0.901695 | + | 0.432372i | \(0.857677\pi\) | |||||||
\(152\) | 1.17797 | + | 7.43742i | 0.0955461 | + | 0.603254i | ||||
\(153\) | −6.33960 | − | 6.33960i | −0.512526 | − | 0.512526i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 14.7052 | + | 3.30708i | 1.18115 | + | 0.265631i | ||||
\(156\) | −3.45239 | + | 4.75181i | −0.276413 | + | 0.380449i | ||||
\(157\) | −19.1253 | + | 9.74483i | −1.52636 | + | 0.777722i | −0.997478 | − | 0.0709708i | \(-0.977390\pi\) |
−0.528887 | + | 0.848693i | \(0.677390\pi\) | |||||||
\(158\) | 6.63368 | + | 3.38003i | 0.527748 | + | 0.268901i | ||||
\(159\) | −0.989642 | − | 1.36213i | −0.0784837 | − | 0.108024i | ||||
\(160\) | −4.09309 | + | 10.2988i | −0.323587 | + | 0.814193i | ||||
\(161\) | −8.31766 | + | 2.70257i | −0.655524 | + | 0.212993i | ||||
\(162\) | −0.221287 | − | 0.434300i | −0.0173859 | − | 0.0341218i | ||||
\(163\) | −10.2967 | + | 1.63083i | −0.806497 | + | 0.127737i | −0.546051 | − | 0.837752i | \(-0.683870\pi\) |
−0.260446 | + | 0.965488i | \(0.583870\pi\) | |||||||
\(164\) | −6.26288 | −0.489049 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.26342 | 0.253290 | ||||||||
\(167\) | −11.1538 | + | 1.76660i | −0.863110 | + | 0.136703i | −0.572267 | − | 0.820067i | \(-0.693936\pi\) |
−0.290843 | + | 0.956771i | \(0.593936\pi\) | |||||||
\(168\) | 2.77104 | + | 5.43848i | 0.213791 | + | 0.419588i | ||||
\(169\) | 4.21842 | − | 1.37065i | 0.324493 | − | 0.105434i | ||||
\(170\) | 2.27775 | + | 5.28241i | 0.174696 | + | 0.405142i | ||||
\(171\) | 4.10070 | + | 5.64412i | 0.313588 | + | 0.431617i | ||||
\(172\) | −11.2601 | − | 5.73731i | −0.858575 | − | 0.437466i | ||||
\(173\) | 11.7632 | − | 5.99367i | 0.894343 | − | 0.455691i | 0.0544963 | − | 0.998514i | \(-0.482645\pi\) |
0.839847 | + | 0.542823i | \(0.182645\pi\) | |||||||
\(174\) | −0.864909 | + | 1.19044i | −0.0655686 | + | 0.0902474i | ||||
\(175\) | 13.7328 | − | 4.90381i | 1.03810 | − | 0.370693i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −1.29330 | − | 1.29330i | −0.0972104 | − | 0.0972104i | ||||
\(178\) | 0.853510 | + | 5.38885i | 0.0639733 | + | 0.403912i | ||||
\(179\) | 2.11776 | + | 0.688100i | 0.158288 | + | 0.0514310i | 0.387089 | − | 0.922042i | \(-0.373480\pi\) |
−0.228801 | + | 0.973473i | \(0.573480\pi\) | |||||||
\(180\) | 0.622170 | + | 6.67448i | 0.0463738 | + | 0.497486i | ||||
\(181\) | −3.50687 | + | 2.54789i | −0.260664 | + | 0.189383i | −0.710440 | − | 0.703758i | \(-0.751504\pi\) |
0.449776 | + | 0.893141i | \(0.351504\pi\) | |||||||
\(182\) | −0.652010 | + | 4.11663i | −0.0483302 | + | 0.305145i | ||||
\(183\) | −3.58879 | + | 7.04339i | −0.265291 | + | 0.520663i | ||||
\(184\) | −1.70221 | + | 5.23888i | −0.125489 | + | 0.386215i | ||||
\(185\) | −0.166703 | + | 2.59582i | −0.0122563 | + | 0.190848i | ||||
\(186\) | − | 3.75045i | − | 0.274996i | ||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 4.58586 | − | 4.58586i | 0.334458 | − | 0.334458i | ||||
\(189\) | 12.6397 | + | 9.18329i | 0.919404 | + | 0.667986i | ||||
\(190\) | −1.10758 | − | 4.33716i | −0.0803526 | − | 0.314650i | ||||
\(191\) | −1.26010 | − | 3.87820i | −0.0911779 | − | 0.280617i | 0.895061 | − | 0.445944i | \(-0.147132\pi\) |
−0.986239 | + | 0.165327i | \(0.947132\pi\) | |||||||
\(192\) | −3.18664 | − | 0.504715i | −0.229976 | − | 0.0364247i | ||||
\(193\) | −20.6434 | − | 3.26960i | −1.48595 | − | 0.235351i | −0.639899 | − | 0.768459i | \(-0.721024\pi\) |
−0.846047 | + | 0.533108i | \(0.821024\pi\) | |||||||
\(194\) | 1.51938 | + | 4.67617i | 0.109085 | + | 0.335729i | ||||
\(195\) | 3.80368 | − | 6.41263i | 0.272387 | − | 0.459218i | ||||
\(196\) | −2.14544 | − | 1.55875i | −0.153246 | − | 0.111339i | ||||
\(197\) | 0.213782 | − | 0.213782i | 0.0152313 | − | 0.0152313i | −0.699450 | − | 0.714681i | \(-0.746572\pi\) |
0.714681 | + | 0.699450i | \(0.246572\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 11.0815i | 0.785549i | 0.919635 | + | 0.392775i | \(0.128485\pi\) | ||||
−0.919635 | + | 0.392775i | \(0.871515\pi\) | |||||||
\(200\) | 2.58532 | − | 8.81313i | 0.182810 | − | 0.623182i | ||||
\(201\) | −0.654619 | + | 2.01471i | −0.0461733 | + | 0.142107i | ||||
\(202\) | −0.423258 | + | 0.830691i | −0.0297803 | + | 0.0584472i | ||||
\(203\) | 1.20656 | − | 7.61793i | 0.0846840 | − | 0.534674i | ||||
\(204\) | −8.55387 | + | 6.21475i | −0.598890 | + | 0.435119i | ||||
\(205\) | 7.91575 | − | 0.737876i | 0.552860 | − | 0.0515355i | ||||
\(206\) | 2.86620 | + | 0.931285i | 0.199698 | + | 0.0648857i | ||||
\(207\) | 0.798364 | + | 5.04067i | 0.0554901 | + | 0.350351i | ||||
\(208\) | −5.43417 | − | 5.43417i | −0.376792 | − | 0.376792i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −1.94022 | − | 3.06610i | −0.133888 | − | 0.211581i | ||||
\(211\) | 5.20512 | − | 7.16423i | 0.358335 | − | 0.493206i | −0.591349 | − | 0.806416i | \(-0.701404\pi\) |
0.949684 | + | 0.313210i | \(0.101404\pi\) | |||||||
\(212\) | 2.31936 | − | 1.18177i | 0.159294 | − | 0.0811644i | ||||
\(213\) | −2.91674 | − | 1.48615i | −0.199852 | − | 0.101830i | ||||
\(214\) | 0.125014 | + | 0.172067i | 0.00854576 | + | 0.0117622i | ||||
\(215\) | 14.9078 | + | 5.92483i | 1.01670 | + | 0.404070i | ||||
\(216\) | 9.35886 | − | 3.04088i | 0.636790 | − | 0.206906i | ||||
\(217\) | 8.92474 | + | 17.5158i | 0.605851 | + | 1.18905i | ||||
\(218\) | −4.56606 | + | 0.723193i | −0.309253 | + | 0.0489808i | ||||
\(219\) | −16.8647 | −1.13961 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −15.4172 | −1.03707 | ||||||||
\(222\) | 0.639273 | − | 0.101251i | 0.0429052 | − | 0.00679551i | ||||
\(223\) | −2.80667 | − | 5.50839i | −0.187948 | − | 0.368869i | 0.777735 | − | 0.628593i | \(-0.216369\pi\) |
−0.965683 | + | 0.259723i | \(0.916369\pi\) | |||||||
\(224\) | −13.7469 | + | 4.46662i | −0.918500 | + | 0.298439i | ||||
\(225\) | −1.57274 | − | 8.36267i | −0.104849 | − | 0.557511i | ||||
\(226\) | −5.81727 | − | 8.00679i | −0.386959 | − | 0.532604i | ||||
\(227\) | 2.95522 | + | 1.50576i | 0.196145 | + | 0.0999406i | 0.549304 | − | 0.835622i | \(-0.314893\pi\) |
−0.353160 | + | 0.935563i | \(0.614893\pi\) | |||||||
\(228\) | 7.33074 | − | 3.73520i | 0.485490 | − | 0.247370i | ||||
\(229\) | 3.13876 | − | 4.32013i | 0.207415 | − | 0.285482i | −0.692618 | − | 0.721305i | \(-0.743543\pi\) |
0.900032 | + | 0.435823i | \(0.143543\pi\) | |||||||
\(230\) | 0.718477 | − | 3.19477i | 0.0473750 | − | 0.210657i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.43509 | − | 3.43509i | −0.225525 | − | 0.225525i | ||||
\(233\) | 0.691167 | + | 4.36386i | 0.0452799 | + | 0.285886i | 0.999930 | − | 0.0118446i | \(-0.00377033\pi\) |
−0.954650 | + | 0.297730i | \(0.903770\pi\) | |||||||
\(234\) | 2.31314 | + | 0.751584i | 0.151215 | + | 0.0491326i | ||||
\(235\) | −5.25584 | + | 6.33642i | −0.342853 | + | 0.413343i | ||||
\(236\) | 2.28770 | − | 1.66211i | 0.148917 | − | 0.108194i | ||||
\(237\) | 2.71735 | − | 17.1567i | 0.176511 | − | 1.11445i | ||||
\(238\) | −3.40621 | + | 6.68507i | −0.220792 | + | 0.433329i | ||||
\(239\) | 3.23012 | − | 9.94128i | 0.208939 | − | 0.643048i | −0.790590 | − | 0.612346i | \(-0.790226\pi\) |
0.999529 | − | 0.0307017i | \(-0.00977418\pi\) | |||||||
\(240\) | 6.67653 | + | 0.428767i | 0.430968 | + | 0.0276768i | ||||
\(241\) | 27.8579i | 1.79449i | 0.441536 | + | 0.897243i | \(0.354434\pi\) | ||||
−0.441536 | + | 0.897243i | \(0.645566\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 10.5600 | − | 10.5600i | 0.677425 | − | 0.677425i | ||||
\(244\) | −9.88748 | − | 7.18367i | −0.632981 | − | 0.459888i | ||||
\(245\) | 2.89530 | + | 1.71736i | 0.184974 | + | 0.109718i | ||||
\(246\) | −0.611296 | − | 1.88138i | −0.0389748 | − | 0.119952i | ||||
\(247\) | 11.8492 | + | 1.87672i | 0.753944 | + | 0.119413i | ||||
\(248\) | 12.2294 | + | 1.93695i | 0.776569 | + | 0.122996i | ||||
\(249\) | −2.35285 | − | 7.24134i | −0.149106 | − | 0.458901i | ||||
\(250\) | −1.04398 | + | 5.35906i | −0.0660268 | + | 0.338937i | ||||
\(251\) | 8.04670 | + | 5.84627i | 0.507903 | + | 0.369013i | 0.812028 | − | 0.583619i | \(-0.198364\pi\) |
−0.304124 | + | 0.952632i | \(0.598364\pi\) | |||||||
\(252\) | −6.18223 | + | 6.18223i | −0.389444 | + | 0.389444i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | − | 4.60489i | − | 0.288936i | ||||||
\(255\) | 10.0791 | − | 8.86270i | 0.631181 | − | 0.555004i | ||||
\(256\) | 0.0455968 | − | 0.140332i | 0.00284980 | − | 0.00877078i | ||||
\(257\) | −1.92513 | + | 3.77828i | −0.120086 | + | 0.235683i | −0.943223 | − | 0.332161i | \(-0.892222\pi\) |
0.823136 | + | 0.567844i | \(0.192222\pi\) | |||||||
\(258\) | 0.624438 | − | 3.94254i | 0.0388758 | − | 0.245452i | ||||
\(259\) | −2.74467 | + | 1.99412i | −0.170545 | + | 0.123908i | ||||
\(260\) | 8.87232 | + | 7.35927i | 0.550238 | + | 0.456402i | ||||
\(261\) | −4.28052 | − | 1.39083i | −0.264958 | − | 0.0860899i | ||||
\(262\) | 0.574229 | + | 3.62554i | 0.0354760 | + | 0.223987i | ||||
\(263\) | 16.1830 | + | 16.1830i | 0.997884 | + | 0.997884i | 0.999998 | − | 0.00211364i | \(-0.000672793\pi\) |
−0.00211364 | + | 0.999998i | \(0.500673\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2.79223 | + | 1.76692i | −0.171526 | + | 0.108541i | ||||
\(266\) | 3.43167 | − | 4.72330i | 0.210409 | − | 0.289604i | ||||
\(267\) | 11.3422 | − | 5.77914i | 0.694131 | − | 0.353677i | ||||
\(268\) | −2.91819 | − | 1.48689i | −0.178257 | − | 0.0908265i | ||||
\(269\) | 13.4435 | + | 18.5034i | 0.819666 | + | 1.12817i | 0.989759 | + | 0.142745i | \(0.0455930\pi\) |
−0.170094 | + | 0.985428i | \(0.554407\pi\) | |||||||
\(270\) | −5.37166 | + | 2.31624i | −0.326909 | + | 0.140962i | ||||
\(271\) | 1.32229 | − | 0.429640i | 0.0803237 | − | 0.0260987i | −0.268580 | − | 0.963258i | \(-0.586554\pi\) |
0.348903 | + | 0.937159i | \(0.386554\pi\) | |||||||
\(272\) | −6.28057 | − | 12.3263i | −0.380815 | − | 0.747392i | ||||
\(273\) | 9.60465 | − | 1.52123i | 0.581300 | − | 0.0920688i | ||||
\(274\) | 7.50545 | 0.453421 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 6.01861 | 0.362278 | ||||||||
\(277\) | −14.0803 | + | 2.23010i | −0.846002 | + | 0.133994i | −0.564363 | − | 0.825527i | \(-0.690878\pi\) |
−0.281639 | + | 0.959520i | \(0.590878\pi\) | |||||||
\(278\) | 0.922808 | + | 1.81111i | 0.0553464 | + | 0.108623i | ||||
\(279\) | 10.9101 | − | 3.54491i | 0.653171 | − | 0.212228i | ||||
\(280\) | 10.9999 | − | 4.74313i | 0.657372 | − | 0.283456i | ||||
\(281\) | −14.9161 | − | 20.5302i | −0.889818 | − | 1.22473i | −0.973604 | − | 0.228246i | \(-0.926701\pi\) |
0.0837853 | − | 0.996484i | \(-0.473299\pi\) | |||||||
\(282\) | 1.82520 | + | 0.929988i | 0.108689 | + | 0.0553800i | ||||
\(283\) | −6.60300 | + | 3.36440i | −0.392508 | + | 0.199993i | −0.639095 | − | 0.769128i | \(-0.720691\pi\) |
0.246587 | + | 0.969121i | \(0.420691\pi\) | |||||||
\(284\) | 2.97484 | − | 4.09451i | 0.176524 | − | 0.242964i | ||||
\(285\) | −8.82536 | + | 5.58466i | −0.522769 | + | 0.330807i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 7.33195 | + | 7.33195i | 0.432791 | + | 0.432791i | ||||
\(288\) | 1.31948 | + | 8.33087i | 0.0777511 | + | 0.490901i | ||||
\(289\) | −10.2266 | − | 3.32284i | −0.601567 | − | 0.195461i | ||||
\(290\) | 2.22273 | + | 1.84368i | 0.130523 | + | 0.108264i | ||||
\(291\) | 9.28071 | − | 6.74283i | 0.544045 | − | 0.395272i | ||||
\(292\) | 4.07886 | − | 25.7529i | 0.238697 | − | 1.50707i | ||||
\(293\) | 6.66340 | − | 13.0777i | 0.389280 | − | 0.764005i | −0.610324 | − | 0.792152i | \(-0.708961\pi\) |
0.999604 | + | 0.0281472i | \(0.00896072\pi\) | |||||||
\(294\) | 0.258843 | − | 0.796636i | 0.0150960 | − | 0.0464607i | ||||
\(295\) | −2.69563 | + | 2.37030i | −0.156946 | + | 0.138004i | ||||
\(296\) | 2.13682i | 0.124200i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −6.20775 | + | 6.20775i | −0.359606 | + | 0.359606i | ||||
\(299\) | 7.09994 | + | 5.15841i | 0.410600 | + | 0.298318i | ||||
\(300\) | −10.0309 | + | 0.289127i | −0.579134 | + | 0.0166928i | ||||
\(301\) | 6.46553 | + | 19.8989i | 0.372667 | + | 1.14695i | ||||
\(302\) | 8.58165 | + | 1.35920i | 0.493818 | + | 0.0782131i | ||||
\(303\) | 2.14842 | + | 0.340276i | 0.123423 | + | 0.0195483i | ||||
\(304\) | 3.32657 | + | 10.2381i | 0.190792 | + | 0.587197i | ||||
\(305\) | 13.3433 | + | 7.91463i | 0.764034 | + | 0.453191i | ||||
\(306\) | 3.54206 | + | 2.57346i | 0.202486 | + | 0.147115i | ||||
\(307\) | −0.874954 | + | 0.874954i | −0.0499363 | + | 0.0499363i | −0.731634 | − | 0.681698i | \(-0.761242\pi\) |
0.681698 | + | 0.731634i | \(0.261242\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 7.03137i | − | 0.400001i | ||||||
\(310\) | −7.34536 | − | 0.471719i | −0.417189 | − | 0.0267919i | ||||
\(311\) | 4.37162 | − | 13.4545i | 0.247892 | − | 0.762933i | −0.747256 | − | 0.664537i | \(-0.768629\pi\) |
0.995147 | − | 0.0983958i | \(-0.0313711\pi\) | |||||||
\(312\) | 2.78064 | − | 5.45732i | 0.157423 | − | 0.308960i | ||||
\(313\) | 0.115706 | − | 0.730542i | 0.00654011 | − | 0.0412927i | −0.984202 | − | 0.177047i | \(-0.943346\pi\) |
0.990743 | + | 0.135754i | \(0.0433457\pi\) | |||||||
\(314\) | 8.48022 | − | 6.16124i | 0.478566 | − | 0.347699i | ||||
\(315\) | 7.08543 | − | 8.54218i | 0.399219 | − | 0.481297i | ||||
\(316\) | 25.5415 | + | 8.29895i | 1.43682 | + | 0.466852i | ||||
\(317\) | −2.66972 | − | 16.8560i | −0.149947 | − | 0.946726i | −0.941839 | − | 0.336065i | \(-0.890904\pi\) |
0.791892 | − | 0.610661i | \(-0.209096\pi\) | |||||||
\(318\) | 0.581389 | + | 0.581389i | 0.0326027 | + | 0.0326027i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −1.38930 | + | 6.17765i | −0.0776644 | + | 0.345341i | ||||
\(321\) | 0.291674 | − | 0.401454i | 0.0162796 | − | 0.0224070i | ||||
\(322\) | 3.80538 | − | 1.93894i | 0.212065 | − | 0.108053i | ||||
\(323\) | 19.2421 | + | 9.80433i | 1.07066 | + | 0.545527i | ||||
\(324\) | −1.03346 | − | 1.42244i | −0.0574145 | − | 0.0790243i | ||||
\(325\) | −12.0809 | − | 8.25617i | −0.670128 | − | 0.457970i | ||||
\(326\) | 4.84178 | − | 1.57319i | 0.268161 | − | 0.0871309i | ||||
\(327\) | 4.89675 | + | 9.61042i | 0.270791 | + | 0.531457i | ||||
\(328\) | 6.45047 | − | 1.02165i | 0.356168 | − | 0.0564114i | ||||
\(329\) | −10.7373 | −0.591967 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −14.9189 | −0.820016 | −0.410008 | − | 0.912082i | \(-0.634474\pi\) | ||||
−0.410008 | + | 0.912082i | \(0.634474\pi\) | |||||||
\(332\) | 11.6268 | − | 1.84150i | 0.638102 | − | 0.101065i | ||||
\(333\) | 0.898777 | + | 1.76395i | 0.0492527 | + | 0.0966638i | ||||
\(334\) | 5.24485 | − | 1.70415i | 0.286985 | − | 0.0932472i | ||||
\(335\) | 3.86353 | + | 1.53549i | 0.211087 | + | 0.0838929i | ||||
\(336\) | 5.12893 | + | 7.05937i | 0.279806 | + | 0.385120i | ||||
\(337\) | 8.40891 | + | 4.28455i | 0.458062 | + | 0.233394i | 0.667767 | − | 0.744370i | \(-0.267250\pi\) |
−0.209705 | + | 0.977765i | \(0.567250\pi\) | |||||||
\(338\) | −1.92995 | + | 0.983358i | −0.104975 | + | 0.0534876i | ||||
\(339\) | −13.5725 | + | 18.6809i | −0.737156 | + | 1.01461i | ||||
\(340\) | 11.0959 | + | 17.5346i | 0.601758 | + | 0.950950i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −2.40905 | − | 2.40905i | −0.130267 | − | 0.130267i | ||||
\(343\) | −2.50676 | − | 15.8271i | −0.135352 | − | 0.854581i | ||||
\(344\) | 12.5333 | + | 4.07231i | 0.675750 | + | 0.219564i | ||||
\(345\) | −7.60701 | + | 0.709097i | −0.409548 | + | 0.0381765i | ||||
\(346\) | −5.21586 | + | 3.78954i | −0.280406 | + | 0.203727i | ||||
\(347\) | −3.00971 | + | 19.0026i | −0.161570 | + | 1.02011i | 0.765012 | + | 0.644016i | \(0.222733\pi\) |
−0.926581 | + | 0.376094i | \(0.877267\pi\) | |||||||
\(348\) | −2.40971 | + | 4.72933i | −0.129174 | + | 0.253518i | ||||
\(349\) | −4.59599 | + | 14.1450i | −0.246018 | + | 0.757164i | 0.749450 | + | 0.662061i | \(0.230318\pi\) |
−0.995467 | + | 0.0951031i | \(0.969682\pi\) | |||||||
\(350\) | −6.24908 | + | 3.41433i | −0.334027 | + | 0.182504i | ||||
\(351\) | − | 15.6777i | − | 0.836813i | ||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 1.78406 | − | 1.78406i | 0.0949560 | − | 0.0949560i | −0.658033 | − | 0.752989i | \(-0.728611\pi\) |
0.752989 | + | 0.658033i | \(0.228611\pi\) | |||||||
\(354\) | 0.722594 | + | 0.524995i | 0.0384054 | + | 0.0279032i | ||||
\(355\) | −3.27753 | + | 5.52560i | −0.173953 | + | 0.293268i | ||||
\(356\) | 6.08171 | + | 18.7176i | 0.322330 | + | 0.992029i | ||||
\(357\) | 17.2896 | + | 2.73840i | 0.915063 | + | 0.144932i | ||||
\(358\) | −1.07402 | − | 0.170108i | −0.0567636 | − | 0.00899047i | ||||
\(359\) | 2.62416 | + | 8.07635i | 0.138498 | + | 0.426253i | 0.996118 | − | 0.0880312i | \(-0.0280575\pi\) |
−0.857620 | + | 0.514285i | \(0.828058\pi\) | |||||||
\(360\) | −1.72960 | − | 6.77290i | −0.0911580 | − | 0.356963i | ||||
\(361\) | 1.77596 | + | 1.29031i | 0.0934717 | + | 0.0679111i | ||||
\(362\) | 1.49682 | − | 1.49682i | 0.0786711 | − | 0.0786711i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 15.0345i | 0.788021i | ||||||||
\(365\) | −2.12119 | + | 33.0300i | −0.111028 | + | 1.72887i | ||||
\(366\) | 1.19290 | − | 3.67138i | 0.0623541 | − | 0.191906i | ||||
\(367\) | −9.63799 | + | 18.9156i | −0.503099 | + | 0.987387i | 0.490178 | + | 0.871622i | \(0.336932\pi\) |
−0.993277 | + | 0.115765i | \(0.963068\pi\) | |||||||
\(368\) | −1.23190 | + | 7.77792i | −0.0642173 | + | 0.405452i | ||||
\(369\) | 4.89515 | − | 3.55653i | 0.254831 | − | 0.185146i | ||||
\(370\) | −0.117897 | − | 1.26477i | −0.00612917 | − | 0.0657522i | ||||
\(371\) | −4.09877 | − | 1.33177i | −0.212797 | − | 0.0691420i | ||||
\(372\) | −2.11633 | − | 13.3620i | −0.109726 | − | 0.692786i | ||||
\(373\) | 2.57445 | + | 2.57445i | 0.133300 | + | 0.133300i | 0.770609 | − | 0.637309i | \(-0.219952\pi\) |
−0.637309 | + | 0.770609i | \(0.719952\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 12.6441 | − | 1.54725i | 0.652940 | − | 0.0798995i | ||||
\(376\) | −3.97513 | + | 5.47130i | −0.205002 | + | 0.282161i | ||||
\(377\) | −6.89604 | + | 3.51371i | −0.355164 | + | 0.180965i | ||||
\(378\) | −6.79802 | − | 3.46377i | −0.349653 | − | 0.178157i | ||||
\(379\) | −9.74713 | − | 13.4158i | −0.500677 | − | 0.689122i | 0.481636 | − | 0.876371i | \(-0.340043\pi\) |
−0.982312 | + | 0.187249i | \(0.940043\pi\) | |||||||
\(380\) | −6.39345 | − | 14.8273i | −0.327977 | − | 0.760622i | ||||
\(381\) | −10.2180 | + | 3.32002i | −0.523483 | + | 0.170090i | ||||
\(382\) | 0.904051 | + | 1.77430i | 0.0462553 | + | 0.0907810i | ||||
\(383\) | 11.2007 | − | 1.77402i | 0.572330 | − | 0.0906481i | 0.136440 | − | 0.990648i | \(-0.456434\pi\) |
0.435890 | + | 0.900000i | \(0.356434\pi\) | |||||||
\(384\) | 12.8694 | 0.656736 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 10.2067 | 0.519505 | ||||||||
\(387\) | 12.0591 | − | 1.90998i | 0.612999 | − | 0.0970895i | ||||
\(388\) | 8.05188 | + | 15.8027i | 0.408772 | + | 0.802260i | ||||
\(389\) | 0.777554 | − | 0.252643i | 0.0394236 | − | 0.0128095i | −0.289239 | − | 0.957257i | \(-0.593402\pi\) |
0.328662 | + | 0.944447i | \(0.393402\pi\) | |||||||
\(390\) | −1.34474 | + | 3.38356i | −0.0680935 | + | 0.171333i | ||||
\(391\) | 9.28580 | + | 12.7808i | 0.469603 | + | 0.646353i | ||||
\(392\) | 2.46398 | + | 1.25546i | 0.124450 | + | 0.0634102i | ||||
\(393\) | 7.63086 | − | 3.88812i | 0.384926 | − | 0.196130i | ||||
\(394\) | −0.0867814 | + | 0.119444i | −0.00437198 | + | 0.00601752i | ||||
\(395\) | −33.2601 | − | 7.47992i | −1.67350 | − | 0.376356i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 11.8504 | + | 11.8504i | 0.594752 | + | 0.594752i | 0.938911 | − | 0.344159i | \(-0.111836\pi\) |
−0.344159 | + | 0.938911i | \(0.611836\pi\) | |||||||
\(398\) | −0.846553 | − | 5.34493i | −0.0424339 | − | 0.267917i | ||||
\(399\) | −12.9549 | − | 4.20930i | −0.648555 | − | 0.210728i | ||||
\(400\) | 1.67950 | − | 13.0222i | 0.0839751 | − | 0.651111i | ||||
\(401\) | 23.0228 | − | 16.7270i | 1.14970 | − | 0.835308i | 0.161262 | − | 0.986912i | \(-0.448444\pi\) |
0.988441 | + | 0.151603i | \(0.0484436\pi\) | |||||||
\(402\) | 0.161831 | − | 1.02176i | 0.00807137 | − | 0.0509607i | ||||
\(403\) | 8.95566 | − | 17.5765i | 0.446113 | − | 0.875547i | ||||
\(404\) | −1.03922 | + | 3.19839i | −0.0517032 | + | 0.159126i | ||||
\(405\) | 1.47379 | + | 1.67608i | 0.0732334 | + | 0.0832850i | ||||
\(406\) | 3.76651i | 0.186929i | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 7.79627 | − | 7.79627i | 0.385973 | − | 0.385973i | ||||
\(409\) | −1.95998 | − | 1.42401i | −0.0969146 | − | 0.0704126i | 0.538273 | − | 0.842771i | \(-0.319077\pi\) |
−0.635187 | + | 0.772358i | \(0.719077\pi\) | |||||||
\(410\) | −3.76161 | + | 0.960607i | −0.185773 | + | 0.0474410i | ||||
\(411\) | −5.41127 | − | 16.6542i | −0.266918 | − | 0.821490i | ||||
\(412\) | 10.7371 | + | 1.70059i | 0.528979 | + | 0.0837820i | ||||
\(413\) | −4.62404 | − | 0.732376i | −0.227534 | − | 0.0360379i | ||||
\(414\) | −0.770145 | − | 2.37026i | −0.0378506 | − | 0.116492i | ||||
\(415\) | −14.4783 | + | 3.69733i | −0.710711 | + | 0.181495i | ||||
\(416\) | 11.7343 | + | 8.52546i | 0.575321 | + | 0.417995i | ||||
\(417\) | 3.35343 | − | 3.35343i | 0.164218 | − | 0.164218i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | − | 16.4371i | − | 0.803006i | −0.915858 | − | 0.401503i | \(-0.868488\pi\) | ||
0.915858 | − | 0.401503i | \(-0.131512\pi\) | |||||||
\(420\) | −8.64270 | − | 9.82895i | −0.421720 | − | 0.479604i | ||||
\(421\) | −3.85294 | + | 11.8581i | −0.187781 | + | 0.577930i | −0.999985 | − | 0.00544310i | \(-0.998267\pi\) |
0.812204 | + | 0.583373i | \(0.198267\pi\) | |||||||
\(422\) | −1.96327 | + | 3.85314i | −0.0955707 | + | 0.187568i | ||||
\(423\) | −0.980171 | + | 6.18855i | −0.0476575 | + | 0.300898i | ||||
\(424\) | −2.19605 | + | 1.59552i | −0.106649 | + | 0.0774853i | ||||
\(425\) | −16.0901 | − | 20.8550i | −0.780485 | − | 1.01162i | ||||
\(426\) | 1.52036 | + | 0.493994i | 0.0736615 | + | 0.0239341i | ||||
\(427\) | 3.16534 | + | 19.9852i | 0.153182 | + | 0.967151i | ||||
\(428\) | 0.542488 | + | 0.542488i | 0.0262222 | + | 0.0262222i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −7.64304 | − | 1.71886i | −0.368580 | − | 0.0828907i | ||||
\(431\) | 11.6588 | − | 16.0470i | 0.561586 | − | 0.772957i | −0.429941 | − | 0.902857i | \(-0.641466\pi\) |
0.991527 | + | 0.129900i | \(0.0414655\pi\) | |||||||
\(432\) | 12.5346 | − | 6.38668i | 0.603070 | − | 0.307279i | ||||
\(433\) | −25.5054 | − | 12.9956i | −1.22571 | − | 0.624531i | −0.283314 | − | 0.959027i | \(-0.591434\pi\) |
−0.942397 | + | 0.334496i | \(0.891434\pi\) | |||||||
\(434\) | −5.64273 | − | 7.76656i | −0.270860 | − | 0.372807i | ||||
\(435\) | 2.48847 | − | 6.26137i | 0.119313 | − | 0.300210i | ||||
\(436\) | −15.8597 | + | 5.15313i | −0.759541 | + | 0.246790i | ||||
\(437\) | −5.58097 | − | 10.9533i | −0.266974 | − | 0.523966i | ||||
\(438\) | 8.13431 | − | 1.28835i | 0.388672 | − | 0.0615597i | ||||
\(439\) | −3.12279 | −0.149043 | −0.0745214 | − | 0.997219i | \(-0.523743\pi\) | ||||
−0.0745214 | + | 0.997219i | \(0.523743\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.56208 | 0.122004 | ||||||||
\(442\) | 7.43613 | − | 1.17777i | 0.353701 | − | 0.0560207i | ||||
\(443\) | −14.4087 | − | 28.2787i | −0.684579 | − | 1.34356i | −0.927612 | − | 0.373545i | \(-0.878142\pi\) |
0.243033 | − | 0.970018i | \(-0.421858\pi\) | |||||||
\(444\) | 2.22044 | − | 0.721465i | 0.105378 | − | 0.0342392i | ||||
\(445\) | −9.89201 | − | 22.9409i | −0.468926 | − | 1.08750i | ||||
\(446\) | 1.77454 | + | 2.44244i | 0.0840267 | + | 0.115653i | ||||
\(447\) | 18.2503 | + | 9.29900i | 0.863210 | + | 0.439827i | ||||
\(448\) | −7.35837 | + | 3.74928i | −0.347650 | + | 0.177137i | ||||
\(449\) | −20.5693 | + | 28.3112i | −0.970726 | + | 1.33609i | −0.0290462 | + | 0.999578i | \(0.509247\pi\) |
−0.941679 | + | 0.336511i | \(0.890753\pi\) | |||||||
\(450\) | 1.39743 | + | 3.91340i | 0.0658753 | + | 0.184479i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −25.2437 | − | 25.2437i | −1.18736 | − | 1.18736i | ||||
\(453\) | −3.17119 | − | 20.0221i | −0.148996 | − | 0.940722i | ||||
\(454\) | −1.54041 | − | 0.500510i | −0.0722951 | − | 0.0234901i | ||||
\(455\) | −1.77132 | − | 19.0023i | −0.0830409 | − | 0.890842i | ||||
\(456\) | −6.94099 | + | 5.04293i | −0.325042 | + | 0.236157i | ||||
\(457\) | −0.797826 | + | 5.03728i | −0.0373207 | + | 0.235634i | −0.999297 | − | 0.0375006i | \(-0.988060\pi\) |
0.961976 | + | 0.273134i | \(0.0880604\pi\) | |||||||
\(458\) | −1.18388 | + | 2.32350i | −0.0553191 | + | 0.108570i | ||||
\(459\) | 8.72103 | − | 26.8406i | 0.407063 | − | 1.25281i | ||||
\(460\) | 0.757001 | − | 11.7876i | 0.0352954 | − | 0.549600i | ||||
\(461\) | 12.4703i | 0.580801i | 0.956905 | + | 0.290400i | \(0.0937885\pi\) | ||||
−0.956905 | + | 0.290400i | \(0.906211\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −19.2728 | + | 19.2728i | −0.895684 | + | 0.895684i | −0.995051 | − | 0.0993669i | \(-0.968318\pi\) |
0.0993669 | + | 0.995051i | \(0.468318\pi\) | |||||||
\(464\) | −5.61854 | − | 4.08211i | −0.260834 | − | 0.189507i | ||||
\(465\) | 4.24913 | + | 16.6390i | 0.197049 | + | 0.771617i | ||||
\(466\) | −0.666738 | − | 2.05201i | −0.0308860 | − | 0.0950574i | ||||
\(467\) | −39.2044 | − | 6.20937i | −1.81416 | − | 0.287335i | −0.845184 | − | 0.534476i | \(-0.820509\pi\) |
−0.968980 | + | 0.247141i | \(0.920509\pi\) | |||||||
\(468\) | 8.66527 | + | 1.37244i | 0.400552 | + | 0.0634412i | ||||
\(469\) | 1.67562 | + | 5.15703i | 0.0773730 | + | 0.238130i | ||||
\(470\) | 2.05097 | − | 3.45774i | 0.0946044 | − | 0.159494i | ||||
\(471\) | −19.7855 | − | 14.3750i | −0.911667 | − | 0.662365i | ||||
\(472\) | −2.08508 | + | 2.08508i | −0.0959738 | + | 0.0959738i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 8.48273i | 0.389625i | ||||||||
\(475\) | 9.82768 | + | 17.9871i | 0.450925 | + | 0.825306i | ||||
\(476\) | −8.36324 | + | 25.7394i | −0.383328 | + | 1.17976i | ||||
\(477\) | −1.14174 | + | 2.24079i | −0.0522767 | + | 0.102599i | ||||
\(478\) | −0.798528 | + | 5.04171i | −0.0365238 | + | 0.230602i | ||||
\(479\) | −30.9491 | + | 22.4858i | −1.41410 | + | 1.02740i | −0.421388 | + | 0.906880i | \(0.638457\pi\) |
−0.992711 | + | 0.120523i | \(0.961543\pi\) | |||||||
\(480\) | −12.5723 | + | 1.17195i | −0.573846 | + | 0.0534918i | ||||
\(481\) | 3.23773 | + | 1.05200i | 0.147628 | + | 0.0479671i | ||||
\(482\) | −2.12815 | − | 13.4366i | −0.0969348 | − | 0.612022i | ||||
\(483\) | −7.04599 | − | 7.04599i | −0.320603 | − | 0.320603i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −12.0387 | − | 19.0246i | −0.546650 | − | 0.863863i | ||||
\(486\) | −4.28667 | + | 5.90009i | −0.194447 | + | 0.267634i | ||||
\(487\) | 24.2169 | − | 12.3391i | 1.09737 | − | 0.559139i | 0.190987 | − | 0.981593i | \(-0.438831\pi\) |
0.906384 | + | 0.422454i | \(0.138831\pi\) | |||||||
\(488\) | 11.3555 | + | 5.78591i | 0.514039 | + | 0.261916i | ||||
\(489\) | −6.98164 | − | 9.60940i | −0.315720 | − | 0.434552i | ||||
\(490\) | −1.52768 | − | 0.607148i | −0.0690134 | − | 0.0274282i | ||||
\(491\) | −3.77748 | + | 1.22738i | −0.170475 | + | 0.0553907i | −0.393011 | − | 0.919534i | \(-0.628567\pi\) |
0.222536 | + | 0.974925i | \(0.428567\pi\) | |||||||
\(492\) | −3.23954 | − | 6.35795i | −0.146050 | − | 0.286638i | ||||
\(493\) | −13.7608 | + | 2.17949i | −0.619753 | + | 0.0981593i | ||||
\(494\) | −5.85854 | −0.263588 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 17.7010 | 0.794798 | ||||||||
\(497\) | −8.27608 | + | 1.31080i | −0.371233 | + | 0.0587975i | ||||
\(498\) | 1.68803 | + | 3.31295i | 0.0756426 | + | 0.148457i | ||||
\(499\) | −6.11060 | + | 1.98546i | −0.273548 | + | 0.0888812i | −0.442579 | − | 0.896730i | \(-0.645936\pi\) |
0.169031 | + | 0.985611i | \(0.445936\pi\) | |||||||
\(500\) | −0.695390 | + | 19.6822i | −0.0310988 | + | 0.880213i | ||||
\(501\) | −7.56284 | − | 10.4094i | −0.337883 | − | 0.465056i | ||||
\(502\) | −4.32776 | − | 2.20510i | −0.193157 | − | 0.0984186i | ||||
\(503\) | −36.2878 | + | 18.4896i | −1.61799 | + | 0.824409i | −0.618747 | + | 0.785590i | \(0.712360\pi\) |
−0.999246 | + | 0.0388190i | \(0.987640\pi\) | |||||||
\(504\) | 5.35890 | − | 7.37590i | 0.238704 | − | 0.328549i | ||||
\(505\) | 0.936660 | − | 4.16493i | 0.0416808 | − | 0.185337i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 3.57347 | + | 3.57347i | 0.158703 | + | 0.158703i | ||||
\(508\) | −2.59847 | − | 16.4061i | −0.115289 | − | 0.727904i | ||||
\(509\) | 8.83124 | + | 2.86944i | 0.391438 | + | 0.127186i | 0.498122 | − | 0.867107i | \(-0.334023\pi\) |
−0.106684 | + | 0.994293i | \(0.534023\pi\) | |||||||
\(510\) | −4.18440 | + | 5.04470i | −0.185288 | + | 0.223383i | ||||
\(511\) | −34.9240 | + | 25.3738i | −1.54495 | + | 1.12247i | ||||
\(512\) | −3.54520 | + | 22.3835i | −0.156677 | + | 0.989220i | ||||
\(513\) | −9.96998 | + | 19.5672i | −0.440185 | + | 0.863912i | ||||
\(514\) | 0.639909 | − | 1.96944i | 0.0282252 | − | 0.0868681i | ||||
\(515\) | −13.7711 | − | 0.884383i | −0.606828 | − | 0.0389706i | ||||
\(516\) | − | 14.3987i | − | 0.633868i | ||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 1.17149 | − | 1.17149i | 0.0514723 | − | 0.0514723i | ||||
\(519\) | 12.1693 | + | 8.84152i | 0.534173 | + | 0.388099i | ||||
\(520\) | −10.3386 | − | 6.13237i | −0.453376 | − | 0.268922i | ||||
\(521\) | −4.57564 | − | 14.0824i | −0.200462 | − | 0.616960i | −0.999869 | − | 0.0161698i | \(-0.994853\pi\) |
0.799407 | − | 0.600790i | \(-0.205147\pi\) | |||||||
\(522\) | 2.17086 | + | 0.343831i | 0.0950160 | + | 0.0150491i | ||||
\(523\) | 38.3651 | + | 6.07643i | 1.67759 | + | 0.265704i | 0.921390 | − | 0.388640i | \(-0.127055\pi\) |
0.756197 | + | 0.654344i | \(0.227055\pi\) | |||||||
\(524\) | 4.09168 | + | 12.5929i | 0.178746 | + | 0.550124i | ||||
\(525\) | 12.0817 | + | 11.4047i | 0.527286 | + | 0.497741i | ||||
\(526\) | −9.04175 | − | 6.56922i | −0.394239 | − | 0.286431i | ||||
\(527\) | 25.1096 | − | 25.1096i | 1.09379 | − | 1.09379i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 14.0073i | 0.609011i | ||||||||
\(530\) | 1.21179 | − | 1.06554i | 0.0526368 | − | 0.0462841i | ||||
\(531\) | −0.844224 | + | 2.59825i | −0.0366362 | + | 0.112755i | ||||
\(532\) | 9.56095 | − | 18.7644i | 0.414520 | − | 0.813541i | ||||
\(533\) | 1.62768 | − | 10.2768i | 0.0705027 | − | 0.445136i | ||||
\(534\) | −5.02916 | + | 3.65390i | −0.217633 | + | 0.158120i | ||||
\(535\) | −0.749573 | − | 0.621744i | −0.0324069 | − | 0.0268804i | ||||
\(536\) | 3.24815 | + | 1.05539i | 0.140299 | + | 0.0455859i | ||||
\(537\) | 0.396884 | + | 2.50583i | 0.0171268 | + | 0.108134i | ||||
\(538\) | −7.89771 | − | 7.89771i | −0.340495 | − | 0.340495i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −17.8309 | + | 11.2833i | −0.767320 | + | 0.485558i | ||||
\(541\) | −10.2392 | + | 14.0930i | −0.440217 | + | 0.605907i | −0.970260 | − | 0.242064i | \(-0.922176\pi\) |
0.530043 | + | 0.847971i | \(0.322176\pi\) | |||||||
\(542\) | −0.604957 | + | 0.308241i | −0.0259851 | + | 0.0132401i | ||||
\(543\) | −4.40053 | − | 2.24218i | −0.188845 | − | 0.0962213i | ||||
\(544\) | 15.3469 | + | 21.1232i | 0.657994 | + | 0.905650i | ||||
\(545\) | 19.4382 | − | 8.38166i | 0.832639 | − | 0.359031i | ||||
\(546\) | −4.51637 | + | 1.46746i | −0.193283 | + | 0.0628014i | ||||
\(547\) | −17.7994 | − | 34.9333i | −0.761048 | − | 1.49364i | −0.866478 | − | 0.499215i | \(-0.833622\pi\) |
0.105430 | − | 0.994427i | \(-0.466378\pi\) | |||||||
\(548\) | 26.7401 | − | 4.23522i | 1.14228 | − | 0.180920i | ||||
\(549\) | 11.8076 | 0.503936 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 10.8414 | 0.461858 | ||||||||
\(552\) | −6.19888 | + | 0.981807i | −0.263842 | + | 0.0417885i | ||||
\(553\) | −20.1859 | − | 39.6170i | −0.858391 | − | 1.68469i | ||||
\(554\) | 6.62094 | − | 2.15127i | 0.281297 | − | 0.0913989i | ||||
\(555\) | −2.72145 | + | 1.17348i | −0.115519 | + | 0.0498113i | ||||
\(556\) | 4.30973 | + | 5.93184i | 0.182773 | + | 0.251566i | ||||
\(557\) | −32.7010 | − | 16.6620i | −1.38558 | − | 0.705991i | −0.407307 | − | 0.913291i | \(-0.633532\pi\) |
−0.978277 | + | 0.207301i | \(0.933532\pi\) | |||||||
\(558\) | −4.99143 | + | 2.54326i | −0.211304 | + | 0.107665i | ||||
\(559\) | 12.3408 | − | 16.9856i | 0.521959 | − | 0.718416i | ||||
\(560\) | 14.4711 | − | 9.15725i | 0.611514 | − | 0.386964i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 8.76280 | + | 8.76280i | 0.369636 | + | 0.369636i | ||||
\(563\) | 2.64077 | + | 16.6732i | 0.111295 | + | 0.702690i | 0.978732 | + | 0.205143i | \(0.0657659\pi\) |
−0.867437 | + | 0.497547i | \(0.834234\pi\) | |||||||
\(564\) | 7.02754 | + | 2.28339i | 0.295913 | + | 0.0961480i | ||||
\(565\) | 34.8800 | + | 28.9317i | 1.46741 | + | 1.21717i | ||||
\(566\) | 2.92779 | − | 2.12716i | 0.123064 | − | 0.0894114i | ||||
\(567\) | −0.455374 | + | 2.87512i | −0.0191239 | + | 0.120744i | ||||
\(568\) | −2.39601 | + | 4.70243i | −0.100534 | + | 0.197310i | ||||
\(569\) | −0.818531 | + | 2.51918i | −0.0343146 | + | 0.105609i | −0.966747 | − | 0.255736i | \(-0.917682\pi\) |
0.932432 | + | 0.361345i | \(0.117682\pi\) | |||||||
\(570\) | 3.83008 | − | 3.36783i | 0.160424 | − | 0.141063i | ||||
\(571\) | − | 29.8675i | − | 1.24992i | −0.780658 | − | 0.624959i | \(-0.785116\pi\) | ||
0.780658 | − | 0.624959i | \(-0.214884\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 3.28527 | − | 3.28527i | 0.137244 | − | 0.137244i | ||||
\(574\) | −4.09651 | − | 2.97629i | −0.170985 | − | 0.124228i | ||||
\(575\) | 0.432001 | + | 14.9877i | 0.0180157 | + | 0.625031i | ||||
\(576\) | 1.48921 | + | 4.58332i | 0.0620505 | + | 0.190972i | ||||
\(577\) | −0.354477 | − | 0.0561437i | −0.0147571 | − | 0.00233729i | 0.149052 | − | 0.988829i | \(-0.452378\pi\) |
−0.163809 | + | 0.986492i | \(0.552378\pi\) | |||||||
\(578\) | 5.18643 | + | 0.821450i | 0.215727 | + | 0.0341678i | ||||
\(579\) | −7.35878 | − | 22.6480i | −0.305821 | − | 0.941219i | ||||
\(580\) | 8.95943 | + | 5.31432i | 0.372020 | + | 0.220665i | ||||
\(581\) | −15.7673 | − | 11.4556i | −0.654138 | − | 0.475259i | ||||
\(582\) | −3.96123 | + | 3.96123i | −0.164198 | + | 0.164198i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 27.1896i | 1.12511i | ||||||||
\(585\) | −11.1139 | − | 0.713732i | −0.459501 | − | 0.0295092i | ||||
\(586\) | −2.21490 | + | 6.81675i | −0.0914965 | + | 0.281597i | ||||
\(587\) | 11.7343 | − | 23.0298i | 0.484326 | − | 0.950543i | −0.511501 | − | 0.859282i | \(-0.670910\pi\) |
0.995827 | − | 0.0912603i | \(-0.0290895\pi\) | |||||||
\(588\) | 0.472664 | − | 2.98428i | 0.0194923 | − | 0.123070i | ||||
\(589\) | −22.3550 | + | 16.2418i | −0.921121 | + | 0.669233i | ||||
\(590\) | 1.11910 | − | 1.34919i | 0.0460727 | − | 0.0555451i | ||||
\(591\) | 0.327608 | + | 0.106446i | 0.0134760 | + | 0.00437861i | ||||
\(592\) | 0.477873 | + | 3.01717i | 0.0196405 | + | 0.124005i | ||||
\(593\) | −9.56872 | − | 9.56872i | −0.392940 | − | 0.392940i | 0.482794 | − | 0.875734i | \(-0.339622\pi\) |
−0.875734 | + | 0.482794i | \(0.839622\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 7.53787 | − | 33.5177i | 0.309022 | − | 1.37409i | ||||
\(596\) | −18.6138 | + | 25.6197i | −0.762451 | + | 1.04942i | ||||
\(597\) | −11.2497 | + | 5.73203i | −0.460421 | + | 0.234596i | ||||
\(598\) | −3.81856 | − | 1.94565i | −0.156153 | − | 0.0795637i | ||||
\(599\) | 6.65542 | + | 9.16040i | 0.271933 | + | 0.374284i | 0.923041 | − | 0.384701i | \(-0.125696\pi\) |
−0.651108 | + | 0.758985i | \(0.725696\pi\) | |||||||
\(600\) | 10.2842 | − | 1.93411i | 0.419850 | − | 0.0789598i | ||||
\(601\) | 15.6822 | − | 5.09545i | 0.639689 | − | 0.207848i | 0.0288267 | − | 0.999584i | \(-0.490823\pi\) |
0.610862 | + | 0.791737i | \(0.290823\pi\) | |||||||
\(602\) | −4.63864 | − | 9.10384i | −0.189057 | − | 0.371045i | ||||
\(603\) | 3.12526 | − | 0.494993i | 0.127271 | − | 0.0201577i | ||||
\(604\) | 31.3413 | 1.27526 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −1.06223 | −0.0431503 | ||||||||
\(607\) | −4.92298 | + | 0.779724i | −0.199818 | + | 0.0316480i | −0.255541 | − | 0.966798i | \(-0.582254\pi\) |
0.0557232 | + | 0.998446i | \(0.482254\pi\) | |||||||
\(608\) | −9.22383 | − | 18.1028i | −0.374076 | − | 0.734165i | ||||
\(609\) | 8.35766 | − | 2.71557i | 0.338670 | − | 0.110040i | ||||
\(610\) | −7.04046 | − | 2.79811i | −0.285060 | − | 0.113292i | ||||
\(611\) | 6.33310 | + | 8.71677i | 0.256210 | + | 0.352643i | ||||
\(612\) | 14.0717 | + | 7.16989i | 0.568814 | + | 0.289825i | ||||
\(613\) | −16.2873 | + | 8.29879i | −0.657837 | + | 0.335185i | −0.750843 | − | 0.660481i | \(-0.770352\pi\) |
0.0930058 | + | 0.995666i | \(0.470352\pi\) | |||||||
\(614\) | 0.355174 | − | 0.488855i | 0.0143337 | − | 0.0197286i | ||||
\(615\) | 4.84357 | + | 7.65423i | 0.195312 | + | 0.308648i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 15.4942 | + | 15.4942i | 0.623773 | + | 0.623773i | 0.946494 | − | 0.322721i | \(-0.104598\pi\) |
−0.322721 | + | 0.946494i | \(0.604598\pi\) | |||||||
\(618\) | 0.537149 | + | 3.39142i | 0.0216073 | + | 0.136423i | ||||
\(619\) | 46.8070 | + | 15.2085i | 1.88133 | + | 0.611282i | 0.986219 | + | 0.165445i | \(0.0529061\pi\) |
0.895114 | + | 0.445837i | \(0.147094\pi\) | |||||||
\(620\) | −26.4360 | + | 2.46426i | −1.06169 | + | 0.0989671i | ||||
\(621\) | −12.9967 | + | 9.44269i | −0.521541 | + | 0.378922i | ||||
\(622\) | −1.08072 | + | 6.82342i | −0.0433330 | + | 0.273594i | ||||
\(623\) | 14.7928 | − | 29.0325i | 0.592661 | − | 1.16316i | ||||
\(624\) | 2.70578 | − | 8.32754i | 0.108318 | − | 0.333368i | ||||
\(625\) | −1.43999 | − | 24.9585i | −0.0575995 | − | 0.998340i | ||||
\(626\) | 0.361199i | 0.0144364i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 26.7363 | − | 26.7363i | 1.06689 | − | 1.06689i | ||||
\(629\) | 4.95787 | + | 3.60210i | 0.197683 | + | 0.143625i | ||||
\(630\) | −2.76493 | + | 4.66141i | −0.110158 | + | 0.185715i | ||||
\(631\) | −2.79731 | − | 8.60924i | −0.111359 | − | 0.342729i | 0.879811 | − | 0.475324i | \(-0.157669\pi\) |
−0.991170 | + | 0.132595i | \(0.957669\pi\) | |||||||
\(632\) | −27.6604 | − | 4.38097i | −1.10027 | − | 0.174266i | ||||
\(633\) | 9.96538 | + | 1.57836i | 0.396088 | + | 0.0627342i | ||||
\(634\) | 2.57536 | + | 7.92615i | 0.102281 | + | 0.314788i | ||||
\(635\) | 5.21717 | + | 20.4298i | 0.207037 | + | 0.810731i | ||||
\(636\) | 2.39942 | + | 1.74328i | 0.0951431 | + | 0.0691255i | ||||
\(637\) | 3.11534 | − | 3.11534i | 0.123434 | − | 0.123434i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 4.88965i | 0.193432i | ||||||||
\(640\) | 1.61866 | − | 25.2050i | 0.0639833 | − | 0.996314i | ||||
\(641\) | −8.63030 | + | 26.5613i | −0.340876 | + | 1.04911i | 0.622878 | + | 0.782319i | \(0.285963\pi\) |
−0.963755 | + | 0.266791i | \(0.914037\pi\) | |||||||
\(642\) | −0.110014 | + | 0.215914i | −0.00434190 | + | 0.00852146i | ||||
\(643\) | −1.50637 | + | 9.51085i | −0.0594055 | + | 0.375071i | 0.940018 | + | 0.341124i | \(0.110808\pi\) |
−0.999424 | + | 0.0339470i | \(0.989192\pi\) | |||||||
\(644\) | 12.4635 | − | 9.05529i | 0.491132 | − | 0.356828i | ||||
\(645\) | 1.69642 | + | 18.1987i | 0.0667964 | + | 0.716574i | ||||
\(646\) | −10.0300 | − | 3.25893i | −0.394624 | − | 0.128221i | ||||
\(647\) | 4.84185 | + | 30.5702i | 0.190353 | + | 1.20184i | 0.879028 | + | 0.476770i | \(0.158193\pi\) |
−0.688675 | + | 0.725070i | \(0.741807\pi\) | |||||||
\(648\) | 1.29645 | + | 1.29645i | 0.0509296 | + | 0.0509296i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 6.45766 | + | 3.05928i | 0.253290 | + | 0.119995i | ||||
\(651\) | −13.1653 | + | 18.1204i | −0.515987 | + | 0.710195i | ||||
\(652\) | 16.3624 | − | 8.33705i | 0.640800 | − | 0.326504i | ||||
\(653\) | −5.44440 | − | 2.77406i | −0.213056 | − | 0.108557i | 0.344206 | − | 0.938894i | \(-0.388148\pi\) |
−0.557262 | + | 0.830337i | \(0.688148\pi\) | |||||||
\(654\) | −3.09601 | − | 4.26129i | −0.121063 | − | 0.166630i | ||||
\(655\) | −6.65520 | − | 15.4343i | −0.260040 | − | 0.603067i | ||||
\(656\) | 8.87952 | − | 2.88513i | 0.346687 | − | 0.112645i | ||||
\(657\) | 11.4363 | + | 22.4450i | 0.446173 | + | 0.875665i | ||||
\(658\) | 5.17890 | − | 0.820257i | 0.201895 | − | 0.0319770i | ||||
\(659\) | 12.0647 | 0.469975 | 0.234988 | − | 0.971998i | \(-0.424495\pi\) | ||||
0.234988 | + | 0.971998i | \(0.424495\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −29.6228 | −1.15219 | −0.576097 | − | 0.817382i | \(-0.695425\pi\) | ||||
−0.576097 | + | 0.817382i | \(0.695425\pi\) | |||||||
\(662\) | 7.19579 | − | 1.13970i | 0.279672 | − | 0.0442957i | ||||
\(663\) | −7.97469 | − | 15.6512i | −0.309711 | − | 0.607843i | ||||
\(664\) | −11.6746 | + | 3.79331i | −0.453063 | + | 0.147209i | ||||
\(665\) | −9.87344 | + | 24.8431i | −0.382876 | + | 0.963373i | ||||
\(666\) | −0.568258 | − | 0.782140i | −0.0220196 | − | 0.0303073i | ||||
\(667\) | 7.06635 | + | 3.60048i | 0.273610 | + | 0.139411i | ||||
\(668\) | 17.7245 | − | 9.03109i | 0.685782 | − | 0.349423i | ||||
\(669\) | 4.14023 | − | 5.69854i | 0.160071 | − | 0.220318i | ||||
\(670\) | −1.98079 | − | 0.445463i | −0.0765244 | − | 0.0172097i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −11.6451 | − | 11.6451i | −0.449220 | − | 0.449220i | ||||
\(673\) | −0.787773 | − | 4.97380i | −0.0303664 | − | 0.191726i | 0.967842 | − | 0.251559i | \(-0.0809432\pi\) |
−0.998208 | + | 0.0598329i | \(0.980943\pi\) | |||||||
\(674\) | −4.38316 | − | 1.42417i | −0.168833 | − | 0.0548571i | ||||
\(675\) | 21.2074 | − | 16.3620i | 0.816272 | − | 0.629773i | ||||
\(676\) | −6.32105 | + | 4.59251i | −0.243117 | + | 0.176635i | ||||
\(677\) | −5.69516 | + | 35.9579i | −0.218883 | + | 1.38197i | 0.596297 | + | 0.802764i | \(0.296638\pi\) |
−0.815180 | + | 0.579208i | \(0.803362\pi\) | |||||||
\(678\) | 5.11928 | − | 10.0472i | 0.196605 | − | 0.385859i | ||||
\(679\) | 9.07388 | − | 27.9265i | 0.348223 | − | 1.07172i | ||||
\(680\) | −14.2886 | − | 16.2498i | −0.547944 | − | 0.623151i | ||||
\(681\) | 3.77894i | 0.144809i | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −8.07353 | + | 8.07353i | −0.308925 | + | 0.308925i | −0.844492 | − | 0.535567i | \(-0.820098\pi\) |
0.535567 | + | 0.844492i | \(0.320098\pi\) | |||||||
\(684\) | −9.94226 | − | 7.22348i | −0.380152 | − | 0.276197i | ||||
\(685\) | −33.2983 | + | 8.50341i | −1.27226 | + | 0.324898i | ||||
\(686\) | 2.41816 | + | 7.44232i | 0.0923257 | + | 0.284149i | ||||
\(687\) | 6.00926 | + | 0.951773i | 0.229267 | + | 0.0363124i | ||||
\(688\) | 18.6076 | + | 2.94716i | 0.709408 | + | 0.112359i | ||||
\(689\) | 1.33638 | + | 4.11297i | 0.0509122 | + | 0.156692i | ||||
\(690\) | 3.61490 | − | 0.923140i | 0.137617 | − | 0.0351434i | ||||
\(691\) | 9.61076 | + | 6.98263i | 0.365611 | + | 0.265632i | 0.755388 | − | 0.655277i | \(-0.227448\pi\) |
−0.389778 | + | 0.920909i | \(0.627448\pi\) | |||||||
\(692\) | −16.4445 | + | 16.4445i | −0.625125 | + | 0.625125i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 9.39538i | − | 0.356644i | ||||||
\(695\) | −6.14600 | − | 6.98957i | −0.233131 | − | 0.265130i | ||||
\(696\) | 1.71040 | − | 5.26407i | 0.0648326 | − | 0.199534i | ||||
\(697\) | 8.50329 | − | 16.6886i | 0.322085 | − | 0.632127i | ||||
\(698\) | 1.13619 | − | 7.17362i | 0.0430054 | − | 0.271526i | ||||
\(699\) | −4.07258 | + | 2.95891i | −0.154039 | + | 0.111916i | ||||
\(700\) | −20.3373 | + | 15.6907i | −0.768678 | + | 0.593053i | ||||
\(701\) | 25.2475 | + | 8.20342i | 0.953586 | + | 0.309839i | 0.744172 | − | 0.667988i | \(-0.232844\pi\) |
0.209414 | + | 0.977827i | \(0.432844\pi\) | |||||||
\(702\) | 1.19767 | + | 7.56177i | 0.0452030 | + | 0.285401i | ||||
\(703\) | −3.37197 | − | 3.37197i | −0.127176 | − | 0.127176i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −9.15124 | − | 2.05804i | −0.344655 | − | 0.0775102i | ||||
\(706\) | −0.724212 | + | 0.996792i | −0.0272561 | + | 0.0375148i | ||||
\(707\) | 4.96097 | − | 2.52774i | 0.186576 | − | 0.0950654i | ||||
\(708\) | 2.87068 | + | 1.46268i | 0.107887 | + | 0.0549710i | ||||
\(709\) | −10.4984 | − | 14.4498i | −0.394275 | − | 0.542673i | 0.565021 | − | 0.825077i | \(-0.308868\pi\) |
−0.959296 | + | 0.282404i | \(0.908868\pi\) | |||||||
\(710\) | 1.15873 | − | 2.91553i | 0.0434862 | − | 0.109418i | ||||
\(711\) | −24.6763 | + | 8.01783i | −0.925435 | + | 0.300692i | ||||
\(712\) | −9.31723 | − | 18.2861i | −0.349178 | − | 0.685301i | ||||
\(713\) | −19.9648 | + | 3.16212i | −0.747689 | + | 0.118422i | ||||
\(714\) | −8.54844 | −0.319917 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −3.92246 | −0.146589 | ||||||||
\(717\) | 11.7630 | − | 1.86307i | 0.439297 | − | 0.0695778i | ||||
\(718\) | −1.88268 | − | 3.69497i | −0.0702611 | − | 0.137895i | ||||
\(719\) | −31.1609 | + | 10.1248i | −1.16211 | + | 0.377592i | −0.825691 | − | 0.564122i | \(-0.809215\pi\) |
−0.336416 | + | 0.941714i | \(0.609215\pi\) | |||||||
\(720\) | −3.95685 | − | 9.17647i | −0.147463 | − | 0.341987i | ||||
\(721\) | −10.5790 | − | 14.5608i | −0.393984 | − | 0.542272i | ||||
\(722\) | −0.955166 | − | 0.486681i | −0.0355476 | − | 0.0181124i | ||||
\(723\) | −28.2808 | + | 14.4098i | −1.05177 | + | 0.535905i | ||||
\(724\) | 4.48818 | − | 6.17744i | 0.166802 | − | 0.229583i | ||||
\(725\) | −11.9501 | − | 5.66127i | −0.443814 | − | 0.210254i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 0.964903 | + | 0.964903i | 0.0357863 | + | 0.0357863i | 0.724773 | − | 0.688987i | \(-0.241944\pi\) |
−0.688987 | + | 0.724773i | \(0.741944\pi\) | |||||||
\(728\) | −2.45255 | − | 15.4848i | −0.0908976 | − | 0.573905i | ||||
\(729\) | 19.0304 | + | 6.18335i | 0.704830 | + | 0.229013i | ||||
\(730\) | −1.50016 | − | 16.0933i | −0.0555233 | − | 0.595640i | ||||
\(731\) | 30.5763 | − | 22.2150i | 1.13091 | − | 0.821651i | ||||
\(732\) | 2.17832 | − | 13.7534i | 0.0805131 | − | 0.508340i | ||||
\(733\) | 5.35405 | − | 10.5079i | 0.197756 | − | 0.388119i | −0.770739 | − | 0.637151i | \(-0.780113\pi\) |
0.968495 | + | 0.249033i | \(0.0801126\pi\) | |||||||
\(734\) | 3.20364 | − | 9.85979i | 0.118249 | − | 0.363932i | ||||
\(735\) | −0.245806 | + | 3.82757i | −0.00906671 | + | 0.141182i | ||||
\(736\) | − | 14.8626i | − | 0.547842i | ||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −2.08937 | + | 2.08937i | −0.0769107 | + | 0.0769107i | ||||
\(739\) | 34.8645 | + | 25.3305i | 1.28251 | + | 0.931798i | 0.999626 | − | 0.0273561i | \(-0.00870880\pi\) |
0.282884 | + | 0.959154i | \(0.408709\pi\) | |||||||
\(740\) | −1.13373 | − | 4.43954i | −0.0416767 | − | 0.163201i | ||||
\(741\) | 4.22388 | + | 12.9998i | 0.155168 | + | 0.477558i | ||||
\(742\) | 2.07868 | + | 0.329231i | 0.0763109 | + | 0.0120865i | ||||
\(743\) | −37.4472 | − | 5.93105i | −1.37380 | − | 0.217589i | −0.574494 | − | 0.818509i | \(-0.694801\pi\) |
−0.799309 | + | 0.600920i | \(0.794801\pi\) | |||||||
\(744\) | 4.35943 | + | 13.4170i | 0.159825 | + | 0.491889i | ||||
\(745\) | 20.5078 | − | 34.5741i | 0.751348 | − | 1.26670i | ||||
\(746\) | −1.43840 | − | 1.04506i | −0.0526636 | − | 0.0382623i | ||||
\(747\) | −8.04189 | + | 8.04189i | −0.294237 | + | 0.294237i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 1.27018i | − | 0.0464114i | ||||||
\(750\) | −5.98041 | + | 1.71220i | −0.218374 | + | 0.0625209i | ||||
\(751\) | 10.7881 | − | 33.2025i | 0.393665 | − | 1.21158i | −0.536331 | − | 0.844008i | \(-0.680190\pi\) |
0.929996 | − | 0.367569i | \(-0.119810\pi\) | |||||||
\(752\) | −4.38926 | + | 8.61441i | −0.160060 | + | 0.314135i | ||||
\(753\) | −1.77278 | + | 11.1929i | −0.0646036 | + | 0.407891i | ||||
\(754\) | 3.05772 | − | 2.22157i | 0.111356 | − | 0.0809047i | ||||
\(755\) | −39.6128 | + | 3.69255i | −1.44166 | + | 0.134386i | ||||
\(756\) | −26.1743 | − | 8.50454i | −0.951950 | − | 0.309307i | ||||
\(757\) | 5.39320 | + | 34.0513i | 0.196019 | + | 1.23762i | 0.867818 | + | 0.496883i | \(0.165522\pi\) |
−0.671798 | + | 0.740734i | \(0.734478\pi\) | |||||||
\(758\) | 5.72618 | + | 5.72618i | 0.207984 | + | 0.207984i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 9.00370 | + | 14.2284i | 0.326598 | + | 0.516119i | ||||
\(761\) | 8.17878 | − | 11.2571i | 0.296481 | − | 0.408071i | −0.634625 | − | 0.772820i | \(-0.718845\pi\) |
0.931106 | + | 0.364750i | \(0.118845\pi\) | |||||||
\(762\) | 4.67478 | − | 2.38192i | 0.169350 | − | 0.0862879i | ||||
\(763\) | 24.5997 | + | 12.5342i | 0.890568 | + | 0.453767i | ||||
\(764\) | 4.22213 | + | 5.81126i | 0.152751 | + | 0.210244i | ||||
\(765\) | −18.6302 | − | 7.40423i | −0.673575 | − | 0.267701i | ||||
\(766\) | −5.26689 | + | 1.71132i | −0.190300 | + | 0.0618323i | ||||
\(767\) | 2.13280 | + | 4.18586i | 0.0770110 | + | 0.151143i | ||||
\(768\) | 0.166048 | − | 0.0262994i | 0.00599174 | − | 0.000948998i | ||||
\(769\) | −13.3273 | −0.480596 | −0.240298 | − | 0.970699i | \(-0.577245\pi\) | ||||
−0.240298 | + | 0.970699i | \(0.577245\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −4.83143 | −0.174000 | ||||||||
\(772\) | 36.3639 | − | 5.75948i | 1.30877 | − | 0.207288i | ||||
\(773\) | −5.67471 | − | 11.1372i | −0.204105 | − | 0.400579i | 0.766151 | − | 0.642661i | \(-0.222170\pi\) |
−0.970256 | + | 0.242082i | \(0.922170\pi\) | |||||||
\(774\) | −5.67053 | + | 1.84247i | −0.203823 | + | 0.0662261i | ||||
\(775\) | 33.1224 | − | 6.22923i | 1.18979 | − | 0.223760i | ||||
\(776\) | −10.8709 | − | 14.9625i | −0.390243 | − | 0.537124i | ||||
\(777\) | −3.44409 | − | 1.75485i | −0.123556 | − | 0.0629549i | ||||
\(778\) | −0.355735 | + | 0.181256i | −0.0127537 | + | 0.00649835i | ||||
\(779\) | −8.56685 | + | 11.7913i | −0.306939 | + | 0.422465i | ||||
\(780\) | −2.88168 | + | 12.8136i | −0.103181 | + | 0.458802i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | −5.45516 | − | 5.45516i | −0.195076 | − | 0.195076i | ||||
\(783\) | −2.21631 | − | 13.9933i | −0.0792046 | − | 0.500078i | ||||
\(784\) | 3.75988 | + | 1.22166i | 0.134281 | + | 0.0436306i | ||||
\(785\) | −30.6424 | + | 36.9424i | −1.09367 | + | 1.31853i | ||||
\(786\) | −3.38355 | + | 2.45829i | −0.120687 | + | 0.0876843i | ||||
\(787\) | −0.984406 | + | 6.21530i | −0.0350903 | + | 0.221551i | −0.999002 | − | 0.0446718i | \(-0.985776\pi\) |
0.963911 | + | 0.266223i | \(0.0857758\pi\) | |||||||
\(788\) | −0.241781 | + | 0.474521i | −0.00861308 | + | 0.0169041i | ||||
\(789\) | −8.05781 | + | 24.7994i | −0.286866 | + | 0.882882i | ||||
\(790\) | 16.6137 | + | 1.06693i | 0.591087 | + | 0.0379597i | ||||
\(791\) | 59.1055i | 2.10155i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 14.3574 | − | 14.3574i | 0.509846 | − | 0.509846i | ||||
\(794\) | −6.62104 | − | 4.81046i | −0.234972 | − | 0.170717i | ||||
\(795\) | −3.23805 | − | 1.92066i | −0.114842 | − | 0.0681189i | ||||
\(796\) | −6.03213 | − | 18.5650i | −0.213803 | − | 0.658019i | ||||
\(797\) | −1.74680 | − | 0.276667i | −0.0618750 | − | 0.00980003i | 0.125420 | − | 0.992104i | \(-0.459972\pi\) |
−0.187295 | + | 0.982304i | \(0.559972\pi\) | |||||||
\(798\) | 6.57006 | + | 1.04059i | 0.232577 | + | 0.0368367i | ||||
\(799\) | 5.99354 | + | 18.4462i | 0.212036 | + | 0.652581i | ||||
\(800\) | 0.713981 | + | 24.7707i | 0.0252430 | + | 0.875775i | ||||
\(801\) | −15.3828 | − | 11.1762i | −0.543523 | − | 0.394893i | ||||
\(802\) | −9.82669 | + | 9.82669i | −0.346992 | + | 0.346992i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | − | 3.73160i | − | 0.131603i | ||||||
\(805\) | −14.6860 | + | 12.9135i | −0.517613 | + | 0.455142i | ||||
\(806\) | −2.97684 | + | 9.16176i | −0.104855 | + | 0.322709i | ||||
\(807\) | −11.8305 | + | 23.2186i | −0.416453 | + | 0.817335i | ||||
\(808\) | 0.548599 | − | 3.46372i | 0.0192996 | − | 0.121853i | ||||
\(809\) | 14.9294 | − | 10.8468i | 0.524889 | − | 0.381354i | −0.293553 | − | 0.955943i | \(-0.594838\pi\) |
0.818443 | + | 0.574588i | \(0.194838\pi\) | |||||||
\(810\) | −0.838892 | − | 0.695831i | −0.0294756 | − | 0.0244490i | ||||
\(811\) | 12.4057 | + | 4.03086i | 0.435624 | + | 0.141543i | 0.518616 | − | 0.855007i | \(-0.326448\pi\) |
−0.0829918 | + | 0.996550i | \(0.526448\pi\) | |||||||
\(812\) | 2.12539 | + | 13.4192i | 0.0745865 | + | 0.470920i | ||||
\(813\) | 1.12013 | + | 1.12013i | 0.0392847 | + | 0.0392847i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −19.6984 | + | 12.4651i | −0.690004 | + | 0.436633i | ||||
\(816\) | 9.26472 | − | 12.7518i | 0.324330 | − | 0.446402i | ||||
\(817\) | −26.2042 | + | 13.3517i | −0.916768 | + | 0.467117i | ||||
\(818\) | 1.05413 | + | 0.537108i | 0.0368569 | + | 0.0187796i | ||||
\(819\) | −8.53770 | − | 11.7511i | −0.298331 | − | 0.410618i | ||||
\(820\) | −12.8597 | + | 5.54504i | −0.449079 | + | 0.193641i | ||||
\(821\) | 24.7703 | − | 8.04835i | 0.864489 | − | 0.280889i | 0.156987 | − | 0.987601i | \(-0.449822\pi\) |
0.707502 | + | 0.706711i | \(0.249822\pi\) | |||||||
\(822\) | 3.88227 | + | 7.61938i | 0.135410 | + | 0.265756i | ||||
\(823\) | 4.96237 | − | 0.785962i | 0.172977 | − | 0.0273969i | −0.0693449 | − | 0.997593i | \(-0.522091\pi\) |
0.242322 | + | 0.970196i | \(0.422091\pi\) | |||||||
\(824\) | −11.3361 | −0.394912 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 2.28625 | 0.0795488 | ||||||||
\(827\) | 12.0210 | − | 1.90393i | 0.418010 | − | 0.0662062i | 0.0561130 | − | 0.998424i | \(-0.482129\pi\) |
0.361897 | + | 0.932218i | \(0.382129\pi\) | |||||||
\(828\) | −4.08135 | − | 8.01010i | −0.141837 | − | 0.278370i | ||||
\(829\) | 10.4727 | − | 3.40277i | 0.363730 | − | 0.118183i | −0.121449 | − | 0.992598i | \(-0.538754\pi\) |
0.485180 | + | 0.874415i | \(0.338754\pi\) | |||||||
\(830\) | 6.70082 | − | 2.88937i | 0.232589 | − | 0.100291i | ||||
\(831\) | −9.54711 | − | 13.1405i | −0.331185 | − | 0.455838i | ||||
\(832\) | 7.38386 | + | 3.76227i | 0.255989 | + | 0.130433i | ||||
\(833\) | 7.06651 | − | 3.60057i | 0.244840 | − | 0.124752i | ||||
\(834\) | −1.36127 | + | 1.87363i | −0.0471370 | + | 0.0648785i | ||||
\(835\) | −21.3382 | + | 13.5028i | −0.738440 | + | 0.467283i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 25.5338 | + | 25.5338i | 0.882578 | + | 0.882578i | ||||
\(838\) | 1.25568 | + | 7.92807i | 0.0433769 | + | 0.273871i | ||||
\(839\) | −8.83685 | − | 2.87127i | −0.305082 | − | 0.0991272i | 0.152475 | − | 0.988307i | \(-0.451276\pi\) |
−0.457557 | + | 0.889180i | \(0.651276\pi\) | |||||||
\(840\) | 10.5049 | + | 8.71348i | 0.362455 | + | 0.300644i | ||||
\(841\) | 17.8031 | − | 12.9347i | 0.613900 | − | 0.446024i | ||||
\(842\) | 0.952498 | − | 6.01384i | 0.0328253 | − | 0.207251i | ||||
\(843\) | 13.1264 | − | 25.7619i | 0.452096 | − | 0.887288i | ||||
\(844\) | −4.82040 | + | 14.8357i | −0.165925 | + | 0.510665i | ||||
\(845\) | 7.44819 | − | 6.54927i | 0.256225 | − | 0.225302i | ||||
\(846\) | − | 3.05979i | − | 0.105198i | ||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −2.74398 | + | 2.74398i | −0.0942286 | + | 0.0942286i | ||||
\(849\) | −6.83093 | − | 4.96296i | −0.234437 | − | 0.170328i | ||||
\(850\) | 9.35388 | + | 8.82976i | 0.320836 | + | 0.302858i | ||||
\(851\) | −1.07798 | − | 3.31768i | −0.0369527 | − | 0.113729i | ||||
\(852\) | 5.69542 | + | 0.902066i | 0.195122 | + | 0.0309043i | ||||
\(853\) | 26.7133 | + | 4.23097i | 0.914645 | + | 0.144866i | 0.595978 | − | 0.803001i | \(-0.296765\pi\) |
0.318667 | + | 0.947867i | \(0.396765\pi\) | |||||||
\(854\) | −3.05346 | − | 9.39759i | −0.104487 | − | 0.321579i | ||||
\(855\) | 13.4172 | + | 7.95848i | 0.458859 | + | 0.272174i | ||||
\(856\) | −0.647232 | − | 0.470242i | −0.0221220 | − | 0.0160725i | ||||
\(857\) | 33.1497 | − | 33.1497i | 1.13237 | − | 1.13237i | 0.142591 | − | 0.989782i | \(-0.454457\pi\) |
0.989782 | − | 0.142591i | \(-0.0455432\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 47.2517i | − | 1.61221i | −0.591775 | − | 0.806103i | \(-0.701573\pi\) | ||
0.591775 | − | 0.806103i | \(-0.298427\pi\) | |||||||
\(860\) | −28.2003 | − | 1.81102i | −0.961621 | − | 0.0617553i | ||||
\(861\) | −3.65072 | + | 11.2358i | −0.124416 | + | 0.382914i | ||||
\(862\) | −4.39749 | + | 8.63057i | −0.149779 | + | 0.293958i | ||||
\(863\) | 2.43422 | − | 15.3690i | 0.0828617 | − | 0.523168i | −0.910988 | − | 0.412432i | \(-0.864679\pi\) |
0.993850 | − | 0.110736i | \(-0.0353207\pi\) | |||||||
\(864\) | −21.4801 | + | 15.6062i | −0.730768 | + | 0.530934i | ||||
\(865\) | 18.8470 | − | 22.7219i | 0.640816 | − | 0.772566i | ||||
\(866\) | 13.2947 | + | 4.31972i | 0.451773 | + | 0.146790i | ||||
\(867\) | −1.91655 | − | 12.1006i | −0.0650896 | − | 0.410959i | ||||
\(868\) | −24.4863 | − | 24.4863i | −0.831118 | − | 0.831118i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | −0.721933 | + | 3.21013i | −0.0244758 | + | 0.108834i | ||||
\(871\) | 3.19826 | − | 4.40203i | 0.108369 | − | 0.149157i | ||||
\(872\) | 15.4941 | − | 7.89464i | 0.524696 | − | 0.267346i | ||||
\(873\) | −15.2674 | − | 7.77913i | −0.516723 | − | 0.263284i | ||||
\(874\) | 3.52861 | + | 4.85671i | 0.119357 | + | 0.164281i | ||||
\(875\) | 23.8560 | − | 22.2278i | 0.806479 | − | 0.751437i | ||||
\(876\) | 28.2536 | − | 9.18015i | 0.954601 | − | 0.310169i | ||||
\(877\) | 13.2254 | + | 25.9562i | 0.446589 | + | 0.876480i | 0.999077 | + | 0.0429592i | \(0.0136785\pi\) |
−0.552488 | + | 0.833521i | \(0.686321\pi\) | |||||||
\(878\) | 1.50621 | − | 0.238560i | 0.0508321 | − | 0.00805101i | ||||
\(879\) | 16.7229 | 0.564048 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 4.18815 | 0.141102 | 0.0705512 | − | 0.997508i | \(-0.477524\pi\) | ||||
0.0705512 | + | 0.997508i | \(0.477524\pi\) | |||||||
\(882\) | −1.23576 | + | 0.195725i | −0.0416102 | + | 0.00659041i | ||||
\(883\) | 20.7555 | + | 40.7349i | 0.698477 | + | 1.37084i | 0.918530 | + | 0.395351i | \(0.129377\pi\) |
−0.220053 | + | 0.975488i | \(0.570623\pi\) | |||||||
\(884\) | 25.8286 | − | 8.39221i | 0.868709 | − | 0.282261i | ||||
\(885\) | −3.80062 | − | 1.51049i | −0.127756 | − | 0.0507745i | ||||
\(886\) | 9.11003 | + | 12.5389i | 0.306057 | + | 0.421252i | ||||
\(887\) | 30.7027 | + | 15.6438i | 1.03090 | + | 0.525267i | 0.885760 | − | 0.464144i | \(-0.153638\pi\) |
0.145136 | + | 0.989412i | \(0.453638\pi\) | |||||||
\(888\) | −2.16926 | + | 1.10529i | −0.0727955 | + | 0.0370912i | ||||
\(889\) | −16.1646 | + | 22.2487i | −0.542143 | + | 0.746196i | ||||
\(890\) | 6.52371 | + | 10.3093i | 0.218675 | + | 0.345569i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 7.70048 | + | 7.70048i | 0.257831 | + | 0.257831i | ||||
\(893\) | −2.36100 | − | 14.9068i | −0.0790078 | − | 0.498836i | ||||
\(894\) | −9.51300 | − | 3.09096i | −0.318162 | − | 0.103377i | ||||
\(895\) | 4.95765 | − | 0.462133i | 0.165716 | − | 0.0154474i | ||||
\(896\) | 26.6503 | − | 19.3626i | 0.890323 | − | 0.646857i | ||||
\(897\) | −1.56420 | + | 9.87594i | −0.0522270 | + | 0.329748i | ||||
\(898\) | 7.75836 | − | 15.2266i | 0.258900 | − | 0.508119i | ||||
\(899\) | 5.50871 | − | 16.9541i | 0.183726 | − | 0.565450i | ||||
\(900\) | 7.18697 | + | 13.1539i | 0.239566 | + | 0.438465i | ||||
\(901\) | 7.78489i | 0.259352i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −16.8566 | + | 16.8566i | −0.560951 | + | 0.560951i | ||||
\(904\) | 30.1177 | + | 21.8818i | 1.00170 | + | 0.727778i | ||||
\(905\) | −4.94486 | + | 8.33654i | −0.164373 | + | 0.277116i | ||||
\(906\) | 3.05911 | + | 9.41497i | 0.101632 | + | 0.312791i | ||||
\(907\) | 38.0387 | + | 6.02474i | 1.26306 | + | 0.200048i | 0.751806 | − | 0.659384i | \(-0.229183\pi\) |
0.511249 | + | 0.859433i | \(0.329183\pi\) | |||||||
\(908\) | −5.77055 | − | 0.913965i | −0.191502 | − | 0.0303310i | ||||
\(909\) | −1.00402 | − | 3.09005i | −0.0333012 | − | 0.102490i | ||||
\(910\) | 2.30600 | + | 9.03001i | 0.0764432 | + | 0.299342i | ||||
\(911\) | 29.8280 | + | 21.6713i | 0.988244 | + | 0.718002i | 0.959536 | − | 0.281586i | \(-0.0908605\pi\) |
0.0287085 | + | 0.999588i | \(0.490861\pi\) | |||||||
\(912\) | −8.67283 | + | 8.67283i | −0.287186 | + | 0.287186i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | − | 2.49056i | − | 0.0823805i | ||||||
\(915\) | −1.13283 | + | 17.6397i | −0.0374500 | + | 0.583152i | ||||
\(916\) | −2.90677 | + | 8.94611i | −0.0960423 | + | 0.295588i | ||||
\(917\) | 9.95237 | − | 19.5326i | 0.328656 | − | 0.645024i | ||||
\(918\) | −2.15595 | + | 13.6122i | −0.0711571 | + | 0.449268i | ||||
\(919\) | 24.5973 | − | 17.8710i | 0.811392 | − | 0.589510i | −0.102842 | − | 0.994698i | \(-0.532794\pi\) |
0.914234 | + | 0.405187i | \(0.132794\pi\) | |||||||
\(920\) | 1.14322 | + | 12.2642i | 0.0376908 | + | 0.404338i | ||||
\(921\) | −1.34081 | − | 0.435657i | −0.0441813 | − | 0.0143554i | ||||
\(922\) | −0.952647 | − | 6.01478i | −0.0313738 | − | 0.198086i | ||||
\(923\) | 5.94554 | + | 5.94554i | 0.195700 | + | 0.195700i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1.95599 | + | 5.47762i | 0.0643126 | + | 0.180103i | ||||
\(926\) | 7.82350 | − | 10.7681i | 0.257096 | − | 0.353862i | ||||
\(927\) | −9.35797 | + | 4.76812i | −0.307356 | + | 0.156606i | ||||
\(928\) | 11.6788 | + | 5.95063i | 0.383374 | + | 0.195339i | ||||
\(929\) | 13.6936 | + | 18.8477i | 0.449273 | + | 0.618372i | 0.972241 | − | 0.233981i | \(-0.0751752\pi\) |
−0.522968 | + | 0.852352i | \(0.675175\pi\) | |||||||
\(930\) | −3.32058 | − | 7.70086i | −0.108886 | − | 0.252521i | ||||
\(931\) | −5.86938 | + | 1.90708i | −0.192361 | + | 0.0625020i | ||||
\(932\) | −3.53335 | − | 6.93458i | −0.115739 | − | 0.227150i | ||||
\(933\) | 15.9199 | − | 2.52147i | 0.521196 | − | 0.0825493i | ||||
\(934\) | 19.3837 | 0.634254 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −9.14869 | −0.299034 | ||||||||
\(937\) | 7.94449 | − | 1.25828i | 0.259535 | − | 0.0411063i | −0.0253108 | − | 0.999680i | \(-0.508058\pi\) |
0.284846 | + | 0.958573i | \(0.408058\pi\) | |||||||
\(938\) | −1.20216 | − | 2.35937i | −0.0392519 | − | 0.0770362i | ||||
\(939\) | 0.801481 | − | 0.260417i | 0.0261553 | − | 0.00849838i | ||||
\(940\) | 5.35598 | − | 13.4764i | 0.174693 | − | 0.439553i | ||||
\(941\) | −28.1490 | − | 38.7438i | −0.917631 | − | 1.26301i | −0.964493 | − | 0.264110i | \(-0.914922\pi\) |
0.0468615 | − | 0.998901i | \(-0.485078\pi\) | |||||||
\(942\) | 10.6412 | + | 5.42198i | 0.346710 | + | 0.176658i | ||||
\(943\) | −9.49976 | + | 4.84037i | −0.309355 | + | 0.157624i | ||||
\(944\) | −2.47782 | + | 3.41042i | −0.0806460 | + | 0.111000i | ||||
\(945\) | 34.0840 | + | 7.66523i | 1.10875 | + | 0.249350i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 9.38618 | + | 9.38618i | 0.305010 | + | 0.305010i | 0.842970 | − | 0.537960i | \(-0.180805\pi\) |
−0.537960 | + | 0.842970i | \(0.680805\pi\) | |||||||
\(948\) | 4.78668 | + | 30.2219i | 0.155464 | + | 0.981563i | ||||
\(949\) | 41.1978 | + | 13.3860i | 1.33734 | + | 0.434528i | ||||
\(950\) | −6.11425 | − | 7.92491i | −0.198373 | − | 0.257118i | ||||
\(951\) | 15.7309 | − | 11.4292i | 0.510109 | − | 0.370616i | ||||
\(952\) | 4.41491 | − | 27.8746i | 0.143088 | − | 0.903422i | ||||
\(953\) | −24.1733 | + | 47.4428i | −0.783051 | + | 1.53682i | 0.0595128 | + | 0.998228i | \(0.481045\pi\) |
−0.842564 | + | 0.538597i | \(0.818955\pi\) | |||||||
\(954\) | 0.379511 | − | 1.16802i | 0.0122871 | − | 0.0378159i | ||||
\(955\) | −6.02108 | − | 6.84750i | −0.194837 | − | 0.221580i | ||||
\(956\) | 18.4130i | 0.595519i | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 13.2098 | − | 13.2098i | 0.426790 | − | 0.426790i | ||||
\(959\) | −36.2628 | − | 26.3465i | −1.17099 | − | 0.850772i | ||||
\(960\) | −6.99005 | + | 1.78506i | −0.225603 | + | 0.0576124i | ||||
\(961\) | 4.46097 | + | 13.7294i | 0.143902 | + | 0.442885i | ||||
\(962\) | −1.64201 | − | 0.260069i | −0.0529405 | − | 0.00838495i | ||||
\(963\) | −0.732081 | − | 0.115950i | −0.0235910 | − | 0.00373644i | ||||
\(964\) | −15.1642 | − | 46.6706i | −0.488406 | − | 1.50316i | ||||
\(965\) | −45.2823 | + | 11.5638i | −1.45769 | + | 0.372251i | ||||
\(966\) | 3.93674 | + | 2.86021i | 0.126662 | + | 0.0920256i | ||||
\(967\) | −38.6475 | + | 38.6475i | −1.24282 | + | 1.24282i | −0.283994 | + | 0.958826i | \(0.591660\pi\) |
−0.958826 | + | 0.283994i | \(0.908340\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 24.6055i | 0.790443i | ||||||||
\(970\) | 7.25995 | + | 8.25641i | 0.233103 | + | 0.265097i | ||||
\(971\) | 2.55556 | − | 7.86521i | 0.0820119 | − | 0.252407i | −0.901640 | − | 0.432487i | \(-0.857636\pi\) |
0.983652 | + | 0.180081i | \(0.0576360\pi\) | |||||||
\(972\) | −11.9430 | + | 23.4395i | −0.383073 | + | 0.751823i | ||||
\(973\) | 1.89900 | − | 11.9898i | 0.0608790 | − | 0.384375i | ||||
\(974\) | −10.7378 | + | 7.80149i | −0.344062 | + | 0.249976i | ||||
\(975\) | 2.13253 | − | 16.5349i | 0.0682957 | − | 0.529539i | ||||
\(976\) | 17.3278 | + | 5.63014i | 0.554649 | + | 0.180216i | ||||
\(977\) | −8.56551 | − | 54.0805i | −0.274035 | − | 1.73019i | −0.613610 | − | 0.789610i | \(-0.710283\pi\) |
0.339575 | − | 0.940579i | \(-0.389717\pi\) | |||||||
\(978\) | 4.10153 | + | 4.10153i | 0.131152 | + | 0.131152i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −5.78535 | − | 1.30108i | −0.184806 | − | 0.0415614i | ||||
\(981\) | 9.46980 | − | 13.0341i | 0.302347 | − | 0.416145i | ||||
\(982\) | 1.72822 | − | 0.880571i | 0.0551496 | − | 0.0281001i | ||||
\(983\) | 12.1525 | + | 6.19202i | 0.387606 | + | 0.197495i | 0.636924 | − | 0.770927i | \(-0.280207\pi\) |
−0.249318 | + | 0.968422i | \(0.580207\pi\) | |||||||
\(984\) | 4.37373 | + | 6.01992i | 0.139429 | + | 0.191908i | ||||
\(985\) | 0.249683 | − | 0.628240i | 0.00795557 | − | 0.0200174i | ||||
\(986\) | 6.47069 | − | 2.10245i | 0.206069 | − | 0.0669558i | ||||
\(987\) | −5.55398 | − | 10.9003i | −0.176785 | − | 0.346960i | ||||
\(988\) | −20.8726 | + | 3.30589i | −0.664045 | + | 0.105174i | ||||
\(989\) | −21.5139 | −0.684102 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 6.43457 | 0.204401 | 0.102200 | − | 0.994764i | \(-0.467412\pi\) | ||||
0.102200 | + | 0.994764i | \(0.467412\pi\) | |||||||
\(992\) | −32.9965 | + | 5.22613i | −1.04764 | + | 0.165930i | ||||
\(993\) | −7.71694 | − | 15.1453i | −0.244890 | − | 0.480623i | ||||
\(994\) | 3.89164 | − | 1.26447i | 0.123435 | − | 0.0401066i | ||||
\(995\) | 9.81138 | + | 22.7539i | 0.311042 | + | 0.721346i | ||||
\(996\) | 7.88351 | + | 10.8507i | 0.249799 | + | 0.343818i | ||||
\(997\) | 18.9575 | + | 9.65934i | 0.600391 | + | 0.305914i | 0.727643 | − | 0.685956i | \(-0.240616\pi\) |
−0.127252 | + | 0.991870i | \(0.540616\pi\) | |||||||
\(998\) | 2.79564 | − | 1.42445i | 0.0884943 | − | 0.0450901i | ||||
\(999\) | −3.66296 | + | 5.04163i | −0.115891 | + | 0.159510i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))