Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [980,2,Mod(979,980)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(980, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("980.979");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 980 = 2^{2} \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 980.c (of order \(2\), degree \(1\), 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: | \(7.82533939809\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 979.6 | ||
Character | \(\chi\) | \(=\) | 980.979 |
Dual form | 980.2.c.e.979.7 |
$q$-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 \(\left(\mathbb{Z}/980\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) | \(491\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.36075 | − | 0.385185i | −0.962193 | − | 0.272367i | ||||
\(3\) | 0.423388i | 0.244443i | 0.992503 | + | 0.122222i | \(0.0390019\pi\) | ||||
−0.992503 | + | 0.122222i | \(0.960998\pi\) | |||||||
\(4\) | 1.70326 | + | 1.04828i | 0.851632 | + | 0.524140i | ||||
\(5\) | −1.74517 | + | 1.39799i | −0.780466 | + | 0.625198i | ||||
\(6\) | 0.163083 | − | 0.576124i | 0.0665783 | − | 0.235202i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −1.91393 | − | 2.08252i | −0.676676 | − | 0.736280i | ||||
\(9\) | 2.82074 | 0.940248 | ||||||||
\(10\) | 2.91323 | − | 1.23009i | 0.921243 | − | 0.388988i | ||||
\(11\) | − | 4.89551i | − | 1.47605i | −0.674772 | − | 0.738026i | \(-0.735758\pi\) | ||
0.674772 | − | 0.738026i | \(-0.264242\pi\) | |||||||
\(12\) | −0.443829 | + | 0.721142i | −0.128122 | + | 0.208176i | ||||
\(13\) | −2.54664 | −0.706311 | −0.353156 | − | 0.935565i | \(-0.614891\pi\) | ||||
−0.353156 | + | 0.935565i | \(0.614891\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.591890 | − | 0.738886i | −0.152825 | − | 0.190780i | ||||
\(16\) | 1.80222 | + | 3.57099i | 0.450555 | + | 0.892749i | ||||
\(17\) | 5.11429 | 1.24040 | 0.620199 | − | 0.784444i | \(-0.287052\pi\) | ||||
0.620199 | + | 0.784444i | \(0.287052\pi\) | |||||||
\(18\) | −3.83832 | − | 1.08651i | −0.904700 | − | 0.256093i | ||||
\(19\) | −6.26601 | −1.43752 | −0.718760 | − | 0.695258i | \(-0.755290\pi\) | ||||
−0.718760 | + | 0.695258i | \(0.755290\pi\) | |||||||
\(20\) | −4.43797 | + | 0.551709i | −0.992361 | + | 0.123366i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.88568 | + | 6.66155i | −0.402028 | + | 1.42025i | ||||
\(23\) | −4.63109 | −0.965650 | −0.482825 | − | 0.875717i | \(-0.660389\pi\) | ||||
−0.482825 | + | 0.875717i | \(0.660389\pi\) | |||||||
\(24\) | 0.881712 | − | 0.810335i | 0.179979 | − | 0.165409i | ||||
\(25\) | 1.09127 | − | 4.87946i | 0.218254 | − | 0.975892i | ||||
\(26\) | 3.46533 | + | 0.980929i | 0.679608 | + | 0.192376i | ||||
\(27\) | 2.46443i | 0.474280i | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.88958 | −0.350886 | −0.175443 | − | 0.984490i | \(-0.556136\pi\) | ||||
−0.175443 | + | 0.984490i | \(0.556136\pi\) | |||||||
\(30\) | 0.520805 | + | 1.23342i | 0.0950856 | + | 0.225191i | ||||
\(31\) | 1.47756 | 0.265378 | 0.132689 | − | 0.991158i | \(-0.457639\pi\) | ||||
0.132689 | + | 0.991158i | \(0.457639\pi\) | |||||||
\(32\) | −1.07687 | − | 5.55341i | −0.190366 | − | 0.981713i | ||||
\(33\) | 2.07270 | 0.360811 | ||||||||
\(34\) | −6.95926 | − | 1.96995i | −1.19350 | − | 0.337844i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 4.80447 | + | 2.95693i | 0.800745 | + | 0.492821i | ||||
\(37\) | − | 2.35920i | − | 0.387850i | −0.981016 | − | 0.193925i | \(-0.937878\pi\) | ||
0.981016 | − | 0.193925i | \(-0.0621218\pi\) | |||||||
\(38\) | 8.52645 | + | 2.41357i | 1.38317 | + | 0.391533i | ||||
\(39\) | − | 1.07822i | − | 0.172653i | ||||||
\(40\) | 6.25147 | + | 0.958707i | 0.988444 | + | 0.151585i | ||||
\(41\) | − | 7.05393i | − | 1.10164i | −0.834624 | − | 0.550819i | \(-0.814315\pi\) | ||
0.834624 | − | 0.550819i | \(-0.185685\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 10.7790 | 1.64378 | 0.821890 | − | 0.569646i | \(-0.192920\pi\) | ||||
0.821890 | + | 0.569646i | \(0.192920\pi\) | |||||||
\(44\) | 5.13187 | − | 8.33835i | 0.773658 | − | 1.25705i | ||||
\(45\) | −4.92269 | + | 3.94336i | −0.733831 | + | 0.587841i | ||||
\(46\) | 6.30175 | + | 1.78383i | 0.929142 | + | 0.263011i | ||||
\(47\) | − | 12.2145i | − | 1.78167i | −0.454329 | − | 0.890834i | \(-0.650121\pi\) | ||
0.454329 | − | 0.890834i | \(-0.349879\pi\) | |||||||
\(48\) | −1.51192 | + | 0.763038i | −0.218226 | + | 0.110135i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −3.36444 | + | 6.21937i | −0.475804 | + | 0.879552i | ||||
\(51\) | 2.16533i | 0.303207i | ||||||||
\(52\) | −4.33760 | − | 2.66959i | −0.601517 | − | 0.370206i | ||||
\(53\) | − | 2.23621i | − | 0.307167i | −0.988136 | − | 0.153583i | \(-0.950919\pi\) | ||
0.988136 | − | 0.153583i | \(-0.0490813\pi\) | |||||||
\(54\) | 0.949263 | − | 3.35347i | 0.129178 | − | 0.456349i | ||||
\(55\) | 6.84386 | + | 8.54352i | 0.922825 | + | 1.15201i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | − | 2.65295i | − | 0.351392i | ||||||
\(58\) | 2.57124 | + | 0.727837i | 0.337620 | + | 0.0955697i | ||||
\(59\) | 5.69000 | 0.740774 | 0.370387 | − | 0.928877i | \(-0.379225\pi\) | ||||
0.370387 | + | 0.928877i | \(0.379225\pi\) | |||||||
\(60\) | −0.233587 | − | 1.87899i | −0.0301559 | − | 0.242576i | ||||
\(61\) | 3.87005i | 0.495509i | 0.968823 | + | 0.247754i | \(0.0796926\pi\) | ||||
−0.968823 | + | 0.247754i | \(0.920307\pi\) | |||||||
\(62\) | −2.01059 | − | 0.569136i | −0.255345 | − | 0.0722803i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.673743 | + | 7.97158i | −0.0842179 | + | 0.996447i | ||||
\(65\) | 4.44433 | − | 3.56017i | 0.551252 | − | 0.441585i | ||||
\(66\) | −2.82042 | − | 0.798374i | −0.347170 | − | 0.0982731i | ||||
\(67\) | −0.889310 | −0.108646 | −0.0543232 | − | 0.998523i | \(-0.517300\pi\) | ||||
−0.0543232 | + | 0.998523i | \(0.517300\pi\) | |||||||
\(68\) | 8.71100 | + | 5.36121i | 1.05636 | + | 0.650142i | ||||
\(69\) | − | 1.96075i | − | 0.236046i | ||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 14.3310i | − | 1.70078i | −0.526152 | − | 0.850391i | \(-0.676366\pi\) | ||
0.526152 | − | 0.850391i | \(-0.323634\pi\) | |||||||
\(72\) | −5.39870 | − | 5.87424i | −0.636243 | − | 0.692286i | ||||
\(73\) | 7.87187 | 0.921333 | 0.460667 | − | 0.887573i | \(-0.347610\pi\) | ||||
0.460667 | + | 0.887573i | \(0.347610\pi\) | |||||||
\(74\) | −0.908729 | + | 3.21027i | −0.105638 | + | 0.373187i | ||||
\(75\) | 2.06590 | + | 0.462031i | 0.238550 | + | 0.0533507i | ||||
\(76\) | −10.6727 | − | 6.56853i | −1.22424 | − | 0.753462i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −0.415314 | + | 1.46718i | −0.0470250 | + | 0.166126i | ||||
\(79\) | − | 4.63973i | − | 0.522010i | −0.965337 | − | 0.261005i | \(-0.915946\pi\) | ||
0.965337 | − | 0.261005i | \(-0.0840540\pi\) | |||||||
\(80\) | −8.13739 | − | 3.71253i | −0.909788 | − | 0.415074i | ||||
\(81\) | 7.41882 | 0.824313 | ||||||||
\(82\) | −2.71707 | + | 9.59861i | −0.300050 | + | 1.05999i | ||||
\(83\) | 4.32876i | 0.475143i | 0.971370 | + | 0.237571i | \(0.0763514\pi\) | ||||
−0.971370 | + | 0.237571i | \(0.923649\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −8.92534 | + | 7.14971i | −0.968089 | + | 0.775495i | ||||
\(86\) | −14.6675 | − | 4.15191i | −1.58163 | − | 0.447712i | ||||
\(87\) | − | 0.800024i | − | 0.0857716i | ||||||
\(88\) | −10.1950 | + | 9.36967i | −1.08679 | + | 0.998810i | ||||
\(89\) | − | 2.18254i | − | 0.231349i | −0.993287 | − | 0.115674i | \(-0.963097\pi\) | ||
0.993287 | − | 0.115674i | \(-0.0369029\pi\) | |||||||
\(90\) | 8.21746 | − | 3.46977i | 0.866196 | − | 0.365745i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −7.88798 | − | 4.85468i | −0.822378 | − | 0.506135i | ||||
\(93\) | 0.625583i | 0.0648699i | ||||||||
\(94\) | −4.70485 | + | 16.6208i | −0.485268 | + | 1.71431i | ||||
\(95\) | 10.9353 | − | 8.75979i | 1.12194 | − | 0.898735i | ||||
\(96\) | 2.35125 | − | 0.455934i | 0.239973 | − | 0.0465336i | ||||
\(97\) | −3.42330 | −0.347584 | −0.173792 | − | 0.984782i | \(-0.555602\pi\) | ||||
−0.173792 | + | 0.984782i | \(0.555602\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | − | 13.8090i | − | 1.38785i | ||||||
\(100\) | 6.97376 | − | 7.16705i | 0.697376 | − | 0.716705i | ||||
\(101\) | − | 7.30698i | − | 0.727072i | −0.931580 | − | 0.363536i | \(-0.881569\pi\) | ||
0.931580 | − | 0.363536i | \(-0.118431\pi\) | |||||||
\(102\) | 0.834054 | − | 2.94647i | 0.0825836 | − | 0.291744i | ||||
\(103\) | 6.75072i | 0.665168i | 0.943074 | + | 0.332584i | \(0.107921\pi\) | ||||
−0.943074 | + | 0.332584i | \(0.892079\pi\) | |||||||
\(104\) | 4.87409 | + | 5.30342i | 0.477944 | + | 0.520043i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.861354 | + | 3.04291i | −0.0836621 | + | 0.295554i | ||||
\(107\) | 9.82994 | 0.950296 | 0.475148 | − | 0.879906i | \(-0.342395\pi\) | ||||
0.475148 | + | 0.879906i | \(0.342395\pi\) | |||||||
\(108\) | −2.58341 | + | 4.19758i | −0.248589 | + | 0.403912i | ||||
\(109\) | −9.41221 | −0.901526 | −0.450763 | − | 0.892644i | \(-0.648848\pi\) | ||||
−0.450763 | + | 0.892644i | \(0.648848\pi\) | |||||||
\(110\) | −6.02192 | − | 14.2617i | −0.574167 | − | 1.35980i | ||||
\(111\) | 0.998857 | 0.0948073 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | − | 15.9261i | − | 1.49820i | −0.662455 | − | 0.749102i | \(-0.730485\pi\) | ||
0.662455 | − | 0.749102i | \(-0.269515\pi\) | |||||||
\(114\) | −1.02188 | + | 3.61000i | −0.0957077 | + | 0.338107i | ||||
\(115\) | 8.08207 | − | 6.47420i | 0.753657 | − | 0.603722i | ||||
\(116\) | −3.21845 | − | 1.98080i | −0.298826 | − | 0.183913i | ||||
\(117\) | −7.18342 | −0.664107 | ||||||||
\(118\) | −7.74264 | − | 2.19170i | −0.712768 | − | 0.201763i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −0.405905 | + | 2.64680i | −0.0370539 | + | 0.241618i | ||||
\(121\) | −12.9660 | −1.17873 | ||||||||
\(122\) | 1.49069 | − | 5.26615i | 0.134960 | − | 0.476775i | ||||
\(123\) | 2.98655 | 0.269288 | ||||||||
\(124\) | 2.51668 | + | 1.54890i | 0.226005 | + | 0.139095i | ||||
\(125\) | 4.91696 | + | 10.0411i | 0.439786 | + | 0.898103i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 12.2192 | 1.08428 | 0.542138 | − | 0.840290i | \(-0.317615\pi\) | ||||
0.542138 | + | 0.840290i | \(0.317615\pi\) | |||||||
\(128\) | 3.98733 | − | 10.5878i | 0.352433 | − | 0.935837i | ||||
\(129\) | 4.56369i | 0.401811i | ||||||||
\(130\) | −7.41894 | + | 3.13260i | −0.650684 | + | 0.274747i | ||||
\(131\) | −9.85060 | −0.860651 | −0.430325 | − | 0.902674i | \(-0.641601\pi\) | ||||
−0.430325 | + | 0.902674i | \(0.641601\pi\) | |||||||
\(132\) | 3.53036 | + | 2.17277i | 0.307278 | + | 0.189115i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 1.21013 | + | 0.342549i | 0.104539 | + | 0.0295917i | ||||
\(135\) | −3.44524 | − | 4.30087i | −0.296519 | − | 0.370160i | ||||
\(136\) | −9.78840 | − | 10.6506i | −0.839348 | − | 0.913281i | ||||
\(137\) | − | 4.69484i | − | 0.401107i | −0.979683 | − | 0.200554i | \(-0.935726\pi\) | ||
0.979683 | − | 0.200554i | \(-0.0642741\pi\) | |||||||
\(138\) | −0.755252 | + | 2.66808i | −0.0642913 | + | 0.227122i | ||||
\(139\) | 13.8745 | 1.17682 | 0.588409 | − | 0.808564i | \(-0.299755\pi\) | ||||
0.588409 | + | 0.808564i | \(0.299755\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 5.17147 | 0.435516 | ||||||||
\(142\) | −5.52011 | + | 19.5009i | −0.463237 | + | 1.63648i | ||||
\(143\) | 12.4671i | 1.04255i | ||||||||
\(144\) | 5.08360 | + | 10.0729i | 0.423633 | + | 0.839405i | ||||
\(145\) | 3.29764 | − | 2.64160i | 0.273854 | − | 0.219373i | ||||
\(146\) | −10.7116 | − | 3.03213i | −0.886501 | − | 0.250941i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.47310 | − | 4.01834i | 0.203288 | − | 0.330306i | ||||
\(149\) | −5.46359 | −0.447595 | −0.223797 | − | 0.974636i | \(-0.571845\pi\) | ||||
−0.223797 | + | 0.974636i | \(0.571845\pi\) | |||||||
\(150\) | −2.63321 | − | 1.42446i | −0.215000 | − | 0.116307i | ||||
\(151\) | − | 1.49611i | − | 0.121751i | −0.998145 | − | 0.0608757i | \(-0.980611\pi\) | ||
0.998145 | − | 0.0608757i | \(-0.0193893\pi\) | |||||||
\(152\) | 11.9927 | + | 13.0491i | 0.972736 | + | 1.05842i | ||||
\(153\) | 14.4261 | 1.16628 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −2.57861 | + | 2.06561i | −0.207119 | + | 0.165914i | ||||
\(156\) | 1.13027 | − | 1.83649i | 0.0904943 | − | 0.147037i | ||||
\(157\) | −22.9035 | −1.82790 | −0.913948 | − | 0.405831i | \(-0.866982\pi\) | ||||
−0.913948 | + | 0.405831i | \(0.866982\pi\) | |||||||
\(158\) | −1.78716 | + | 6.31350i | −0.142179 | + | 0.502275i | ||||
\(159\) | 0.946783 | 0.0750848 | ||||||||
\(160\) | 9.64291 | + | 8.18622i | 0.762339 | + | 0.647178i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −10.0951 | − | 2.85762i | −0.793148 | − | 0.224516i | ||||
\(163\) | −1.93051 | −0.151209 | −0.0756047 | − | 0.997138i | \(-0.524089\pi\) | ||||
−0.0756047 | + | 0.997138i | \(0.524089\pi\) | |||||||
\(164\) | 7.39449 | − | 12.0147i | 0.577413 | − | 0.938191i | ||||
\(165\) | −3.61723 | + | 2.89761i | −0.281601 | + | 0.225578i | ||||
\(166\) | 1.66737 | − | 5.89034i | 0.129413 | − | 0.457179i | ||||
\(167\) | − | 16.9677i | − | 1.31300i | −0.754327 | − | 0.656499i | \(-0.772037\pi\) | ||
0.754327 | − | 0.656499i | \(-0.227963\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −6.51462 | −0.501124 | ||||||||
\(170\) | 14.8991 | − | 6.29104i | 1.14271 | − | 0.482501i | ||||
\(171\) | −17.6748 | −1.35163 | ||||||||
\(172\) | 18.3595 | + | 11.2994i | 1.39990 | + | 0.861570i | ||||
\(173\) | 10.0363 | 0.763047 | 0.381524 | − | 0.924359i | \(-0.375399\pi\) | ||||
0.381524 | + | 0.924359i | \(0.375399\pi\) | |||||||
\(174\) | −0.308158 | + | 1.08863i | −0.0233614 | + | 0.0825289i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 17.4818 | − | 8.82279i | 1.31774 | − | 0.665043i | ||||
\(177\) | 2.40908i | 0.181077i | ||||||||
\(178\) | −0.840682 | + | 2.96988i | −0.0630118 | + | 0.222602i | ||||
\(179\) | − | 3.55282i | − | 0.265550i | −0.991146 | − | 0.132775i | \(-0.957611\pi\) | ||
0.991146 | − | 0.132775i | \(-0.0423888\pi\) | |||||||
\(180\) | −12.5184 | + | 1.55623i | −0.933065 | + | 0.115994i | ||||
\(181\) | − | 22.2716i | − | 1.65543i | −0.561148 | − | 0.827716i | \(-0.689640\pi\) | ||
0.561148 | − | 0.827716i | \(-0.310360\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.63853 | −0.121124 | ||||||||
\(184\) | 8.86359 | + | 9.64432i | 0.653432 | + | 0.710989i | ||||
\(185\) | 3.29813 | + | 4.11722i | 0.242483 | + | 0.302704i | ||||
\(186\) | 0.240965 | − | 0.851260i | 0.0176684 | − | 0.0624174i | ||||
\(187\) | − | 25.0371i | − | 1.83089i | ||||||
\(188\) | 12.8042 | − | 20.8045i | 0.933843 | − | 1.51733i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −18.2543 | + | 7.70775i | −1.32431 | + | 0.559179i | ||||
\(191\) | 17.8460i | 1.29129i | 0.763636 | + | 0.645647i | \(0.223412\pi\) | ||||
−0.763636 | + | 0.645647i | \(0.776588\pi\) | |||||||
\(192\) | −3.37507 | − | 0.285255i | −0.243575 | − | 0.0205865i | ||||
\(193\) | 18.2331i | 1.31245i | 0.754567 | + | 0.656223i | \(0.227847\pi\) | ||||
−0.754567 | + | 0.656223i | \(0.772153\pi\) | |||||||
\(194\) | 4.65825 | + | 1.31861i | 0.334443 | + | 0.0946703i | ||||
\(195\) | 1.50733 | + | 1.88168i | 0.107942 | + | 0.134750i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 11.3569i | 0.809148i | 0.914505 | + | 0.404574i | \(0.132580\pi\) | ||||
−0.914505 | + | 0.404574i | \(0.867420\pi\) | |||||||
\(198\) | −5.31902 | + | 18.7905i | −0.378006 | + | 1.33538i | ||||
\(199\) | −9.02829 | −0.639998 | −0.319999 | − | 0.947418i | \(-0.603683\pi\) | ||||
−0.319999 | + | 0.947418i | \(0.603683\pi\) | |||||||
\(200\) | −12.2502 | + | 7.06636i | −0.866218 | + | 0.499667i | ||||
\(201\) | − | 0.376523i | − | 0.0265579i | ||||||
\(202\) | −2.81454 | + | 9.94295i | −0.198030 | + | 0.699584i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −2.26987 | + | 3.68813i | −0.158923 | + | 0.258221i | ||||
\(205\) | 9.86129 | + | 12.3103i | 0.688743 | + | 0.859792i | ||||
\(206\) | 2.60028 | − | 9.18602i | 0.181170 | − | 0.640021i | ||||
\(207\) | −13.0631 | −0.907950 | ||||||||
\(208\) | −4.58961 | − | 9.09404i | −0.318232 | − | 0.630558i | ||||
\(209\) | 30.6753i | 2.12186i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.40164i | 0.303021i | 0.988456 | + | 0.151511i | \(0.0484138\pi\) | ||||
−0.988456 | + | 0.151511i | \(0.951586\pi\) | |||||||
\(212\) | 2.34417 | − | 3.80885i | 0.160998 | − | 0.261593i | ||||
\(213\) | 6.06759 | 0.415744 | ||||||||
\(214\) | −13.3761 | − | 3.78635i | −0.914369 | − | 0.258829i | ||||
\(215\) | −18.8112 | + | 15.0689i | −1.28291 | + | 1.02769i | ||||
\(216\) | 5.13222 | − | 4.71675i | 0.349203 | − | 0.320934i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 12.8076 | + | 3.62544i | 0.867442 | + | 0.245546i | ||||
\(219\) | 3.33286i | 0.225214i | ||||||||
\(220\) | 2.70090 | + | 21.7262i | 0.182094 | + | 1.46478i | ||||
\(221\) | −13.0243 | −0.876107 | ||||||||
\(222\) | −1.35919 | − | 0.384745i | −0.0912230 | − | 0.0258224i | ||||
\(223\) | 14.1103i | 0.944899i | 0.881358 | + | 0.472449i | \(0.156630\pi\) | ||||
−0.881358 | + | 0.472449i | \(0.843370\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 3.07819 | − | 13.7637i | 0.205213 | − | 0.917580i | ||||
\(226\) | −6.13451 | + | 21.6714i | −0.408062 | + | 1.44156i | ||||
\(227\) | 10.9976i | 0.729936i | 0.931020 | + | 0.364968i | \(0.118920\pi\) | ||||
−0.931020 | + | 0.364968i | \(0.881080\pi\) | |||||||
\(228\) | 2.78104 | − | 4.51868i | 0.184179 | − | 0.299257i | ||||
\(229\) | 8.10937i | 0.535883i | 0.963435 | + | 0.267941i | \(0.0863433\pi\) | ||||
−0.963435 | + | 0.267941i | \(0.913657\pi\) | |||||||
\(230\) | −13.4914 | + | 5.69666i | −0.889598 | + | 0.375626i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.61652 | + | 3.93507i | 0.237436 | + | 0.258350i | ||||
\(233\) | 15.8742i | 1.03995i | 0.854180 | + | 0.519977i | \(0.174059\pi\) | ||||
−0.854180 | + | 0.519977i | \(0.825941\pi\) | |||||||
\(234\) | 9.77482 | + | 2.76695i | 0.639000 | + | 0.180881i | ||||
\(235\) | 17.0757 | + | 21.3164i | 1.11390 | + | 1.39053i | ||||
\(236\) | 9.69157 | + | 5.96471i | 0.630867 | + | 0.388269i | ||||
\(237\) | 1.96441 | 0.127602 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 24.4934i | 1.58435i | 0.610295 | + | 0.792174i | \(0.291051\pi\) | ||||
−0.610295 | + | 0.792174i | \(0.708949\pi\) | |||||||
\(240\) | 1.57184 | − | 3.44527i | 0.101462 | − | 0.222391i | ||||
\(241\) | − | 19.1862i | − | 1.23589i | −0.786222 | − | 0.617945i | \(-0.787966\pi\) | ||
0.786222 | − | 0.617945i | \(-0.212034\pi\) | |||||||
\(242\) | 17.6435 | + | 4.99433i | 1.13417 | + | 0.321048i | ||||
\(243\) | 10.5343i | 0.675778i | ||||||||
\(244\) | −4.05689 | + | 6.59171i | −0.259716 | + | 0.421991i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −4.06394 | − | 1.15038i | −0.259107 | − | 0.0733452i | ||||
\(247\) | 15.9573 | 1.01534 | ||||||||
\(248\) | −2.82795 | − | 3.07705i | −0.179575 | − | 0.195393i | ||||
\(249\) | −1.83274 | −0.116145 | ||||||||
\(250\) | −2.82305 | − | 15.5573i | −0.178546 | − | 0.983932i | ||||
\(251\) | −21.1323 | −1.33386 | −0.666929 | − | 0.745121i | \(-0.732392\pi\) | ||||
−0.666929 | + | 0.745121i | \(0.732392\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 22.6716i | 1.42535i | ||||||||
\(254\) | −16.6272 | − | 4.70664i | −1.04328 | − | 0.295321i | ||||
\(255\) | −3.02710 | − | 3.77888i | −0.189564 | − | 0.236643i | ||||
\(256\) | −9.50401 | + | 12.8714i | −0.594000 | + | 0.804465i | ||||
\(257\) | −25.6520 | −1.60013 | −0.800064 | − | 0.599915i | \(-0.795201\pi\) | ||||
−0.800064 | + | 0.599915i | \(0.795201\pi\) | |||||||
\(258\) | 1.75787 | − | 6.21003i | 0.109440 | − | 0.386620i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 11.3019 | − | 1.40500i | 0.700916 | − | 0.0871346i | ||||
\(261\) | −5.33001 | −0.329919 | ||||||||
\(262\) | 13.4042 | + | 3.79431i | 0.828113 | + | 0.234413i | ||||
\(263\) | 10.0198 | 0.617845 | 0.308922 | − | 0.951087i | \(-0.400032\pi\) | ||||
0.308922 | + | 0.951087i | \(0.400032\pi\) | |||||||
\(264\) | −3.96701 | − | 4.31643i | −0.244152 | − | 0.265658i | ||||
\(265\) | 3.12619 | + | 3.90257i | 0.192040 | + | 0.239733i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0.924061 | 0.0565516 | ||||||||
\(268\) | −1.51473 | − | 0.932245i | −0.0925269 | − | 0.0569459i | ||||
\(269\) | − | 13.6945i | − | 0.834966i | −0.908685 | − | 0.417483i | \(-0.862912\pi\) | ||
0.908685 | − | 0.417483i | \(-0.137088\pi\) | |||||||
\(270\) | 3.03147 | + | 7.17945i | 0.184490 | + | 0.436927i | ||||
\(271\) | 15.3609 | 0.933107 | 0.466554 | − | 0.884493i | \(-0.345495\pi\) | ||||
0.466554 | + | 0.884493i | \(0.345495\pi\) | |||||||
\(272\) | 9.21708 | + | 18.2631i | 0.558868 | + | 1.10736i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.80838 | + | 6.38849i | −0.109249 | + | 0.385943i | ||||
\(275\) | −23.8875 | − | 5.34233i | −1.44047 | − | 0.322155i | ||||
\(276\) | 2.05541 | − | 3.33967i | 0.123721 | − | 0.201025i | ||||
\(277\) | 17.8089i | 1.07004i | 0.844841 | + | 0.535018i | \(0.179695\pi\) | ||||
−0.844841 | + | 0.535018i | \(0.820305\pi\) | |||||||
\(278\) | −18.8796 | − | 5.34424i | −1.13233 | − | 0.320526i | ||||
\(279\) | 4.16783 | 0.249521 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 29.6169 | 1.76680 | 0.883398 | − | 0.468624i | \(-0.155250\pi\) | ||||
0.883398 | + | 0.468624i | \(0.155250\pi\) | |||||||
\(282\) | −7.03706 | − | 1.99198i | −0.419051 | − | 0.118620i | ||||
\(283\) | 3.57827i | 0.212706i | 0.994328 | + | 0.106353i | \(0.0339174\pi\) | ||||
−0.994328 | + | 0.106353i | \(0.966083\pi\) | |||||||
\(284\) | 15.0229 | − | 24.4095i | 0.891447 | − | 1.44844i | ||||
\(285\) | 3.70879 | + | 4.62987i | 0.219690 | + | 0.274250i | ||||
\(286\) | 4.80215 | − | 16.9646i | 0.283957 | − | 1.00314i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −3.03757 | − | 15.6647i | −0.178991 | − | 0.923053i | ||||
\(289\) | 9.15600 | 0.538588 | ||||||||
\(290\) | −5.50476 | + | 2.32435i | −0.323251 | + | 0.136490i | ||||
\(291\) | − | 1.44938i | − | 0.0849644i | ||||||
\(292\) | 13.4079 | + | 8.25192i | 0.784637 | + | 0.482907i | ||||
\(293\) | −17.7739 | −1.03836 | −0.519180 | − | 0.854665i | \(-0.673763\pi\) | ||||
−0.519180 | + | 0.854665i | \(0.673763\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −9.93004 | + | 7.95453i | −0.578149 | + | 0.463131i | ||||
\(296\) | −4.91307 | + | 4.51534i | −0.285566 | + | 0.262449i | ||||
\(297\) | 12.0647 | 0.700063 | ||||||||
\(298\) | 7.43456 | + | 2.10449i | 0.430673 | + | 0.121910i | ||||
\(299\) | 11.7937 | 0.682049 | ||||||||
\(300\) | 3.03444 | + | 2.95261i | 0.175194 | + | 0.170469i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −0.576278 | + | 2.03582i | −0.0331611 | + | 0.117148i | ||||
\(303\) | 3.09369 | 0.177728 | ||||||||
\(304\) | −11.2927 | − | 22.3759i | −0.647682 | − | 1.28334i | ||||
\(305\) | −5.41027 | − | 6.75391i | −0.309791 | − | 0.386728i | ||||
\(306\) | −19.6303 | − | 5.55672i | −1.12219 | − | 0.317657i | ||||
\(307\) | − | 32.8923i | − | 1.87726i | −0.344923 | − | 0.938631i | \(-0.612095\pi\) | ||
0.344923 | − | 0.938631i | \(-0.387905\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −2.85818 | −0.162596 | ||||||||
\(310\) | 4.30447 | − | 1.81753i | 0.244478 | − | 0.103229i | ||||
\(311\) | 19.8748 | 1.12700 | 0.563499 | − | 0.826117i | \(-0.309455\pi\) | ||||
0.563499 | + | 0.826117i | \(0.309455\pi\) | |||||||
\(312\) | −2.24540 | + | 2.06363i | −0.127121 | + | 0.116830i | ||||
\(313\) | −6.37144 | −0.360135 | −0.180068 | − | 0.983654i | \(-0.557632\pi\) | ||||
−0.180068 | + | 0.983654i | \(0.557632\pi\) | |||||||
\(314\) | 31.1658 | + | 8.82208i | 1.75879 | + | 0.497859i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 4.86373 | − | 7.90269i | 0.273606 | − | 0.444561i | ||||
\(317\) | − | 17.0023i | − | 0.954942i | −0.878648 | − | 0.477471i | \(-0.841554\pi\) | ||
0.878648 | − | 0.477471i | \(-0.158446\pi\) | |||||||
\(318\) | −1.28833 | − | 0.364687i | −0.0722461 | − | 0.0204506i | ||||
\(319\) | 9.25045i | 0.517926i | ||||||||
\(320\) | −9.96835 | − | 14.8537i | −0.557248 | − | 0.830346i | ||||
\(321\) | 4.16188i | 0.232293i | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −32.0462 | −1.78310 | ||||||||
\(324\) | 12.6362 | + | 7.77699i | 0.702011 | + | 0.432055i | ||||
\(325\) | −2.77908 | + | 12.4262i | −0.154155 | + | 0.689283i | ||||
\(326\) | 2.62694 | + | 0.743605i | 0.145493 | + | 0.0411845i | ||||
\(327\) | − | 3.98502i | − | 0.220372i | ||||||
\(328\) | −14.6899 | + | 13.5007i | −0.811115 | + | 0.745453i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 6.03824 | − | 2.54961i | 0.332394 | − | 0.140351i | ||||
\(331\) | − | 14.6613i | − | 0.805857i | −0.915231 | − | 0.402929i | \(-0.867992\pi\) | ||
0.915231 | − | 0.402929i | \(-0.132008\pi\) | |||||||
\(332\) | −4.53775 | + | 7.37302i | −0.249041 | + | 0.404647i | ||||
\(333\) | − | 6.65469i | − | 0.364675i | ||||||
\(334\) | −6.53570 | + | 23.0887i | −0.357618 | + | 1.26336i | ||||
\(335\) | 1.55200 | − | 1.24324i | 0.0847949 | − | 0.0679256i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 15.2435i | − | 0.830368i | −0.909738 | − | 0.415184i | \(-0.863717\pi\) | ||
0.909738 | − | 0.415184i | \(-0.136283\pi\) | |||||||
\(338\) | 8.86475 | + | 2.50934i | 0.482179 | + | 0.136490i | ||||
\(339\) | 6.74293 | 0.366226 | ||||||||
\(340\) | −22.6971 | + | 2.82160i | −1.23092 | + | 0.153023i | ||||
\(341\) | − | 7.23343i | − | 0.391712i | ||||||
\(342\) | 24.0509 | + | 6.80807i | 1.30052 | + | 0.368138i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −20.6302 | − | 22.4474i | −1.11231 | − | 1.21028i | ||||
\(345\) | 2.74110 | + | 3.42185i | 0.147576 | + | 0.184226i | ||||
\(346\) | −13.6569 | − | 3.86584i | −0.734199 | − | 0.207829i | ||||
\(347\) | −33.4194 | −1.79405 | −0.897024 | − | 0.441983i | \(-0.854275\pi\) | ||||
−0.897024 | + | 0.441983i | \(0.854275\pi\) | |||||||
\(348\) | 0.838649 | − | 1.36265i | 0.0449563 | − | 0.0730459i | ||||
\(349\) | − | 16.1586i | − | 0.864951i | −0.901646 | − | 0.432476i | \(-0.857640\pi\) | ||
0.901646 | − | 0.432476i | \(-0.142360\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − | 6.27603i | − | 0.334990i | ||||||
\(352\) | −27.1868 | + | 5.27183i | −1.44906 | + | 0.280990i | ||||
\(353\) | −22.6854 | −1.20742 | −0.603711 | − | 0.797203i | \(-0.706312\pi\) | ||||
−0.603711 | + | 0.797203i | \(0.706312\pi\) | |||||||
\(354\) | 0.927941 | − | 3.27814i | 0.0493195 | − | 0.174231i | ||||
\(355\) | 20.0346 | + | 25.0102i | 1.06333 | + | 1.32740i | ||||
\(356\) | 2.28791 | − | 3.71744i | 0.121259 | − | 0.197024i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.36850 | + | 4.83449i | −0.0723272 | + | 0.255511i | ||||
\(359\) | 16.7678i | 0.884971i | 0.896776 | + | 0.442486i | \(0.145903\pi\) | ||||
−0.896776 | + | 0.442486i | \(0.854097\pi\) | |||||||
\(360\) | 17.6338 | + | 2.70427i | 0.929382 | + | 0.142527i | ||||
\(361\) | 20.2628 | 1.06647 | ||||||||
\(362\) | −8.57867 | + | 30.3059i | −0.450885 | + | 1.59285i | ||||
\(363\) | − | 5.48966i | − | 0.288133i | ||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −13.7378 | + | 11.0048i | −0.719069 | + | 0.576016i | ||||
\(366\) | 2.22963 | + | 0.631138i | 0.116544 | + | 0.0329901i | ||||
\(367\) | − | 15.6432i | − | 0.816567i | −0.912855 | − | 0.408284i | \(-0.866127\pi\) | ||
0.912855 | − | 0.408284i | \(-0.133873\pi\) | |||||||
\(368\) | −8.34625 | − | 16.5376i | −0.435078 | − | 0.862082i | ||||
\(369\) | − | 19.8973i | − | 1.03581i | ||||||
\(370\) | −2.90203 | − | 6.87288i | −0.150869 | − | 0.357304i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −0.655785 | + | 1.06553i | −0.0340009 | + | 0.0552453i | ||||
\(373\) | − | 17.1045i | − | 0.885637i | −0.896611 | − | 0.442819i | \(-0.853979\pi\) | ||
0.896611 | − | 0.442819i | \(-0.146021\pi\) | |||||||
\(374\) | −9.64392 | + | 34.0691i | −0.498675 | + | 1.76167i | ||||
\(375\) | −4.25128 | + | 2.08178i | −0.219535 | + | 0.107503i | ||||
\(376\) | −25.4369 | + | 23.3777i | −1.31181 | + | 1.20561i | ||||
\(377\) | 4.81207 | 0.247834 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 10.3762i | 0.532990i | 0.963836 | + | 0.266495i | \(0.0858655\pi\) | ||||
−0.963836 | + | 0.266495i | \(0.914134\pi\) | |||||||
\(380\) | 27.8084 | − | 3.45701i | 1.42654 | − | 0.177341i | ||||
\(381\) | 5.17345i | 0.265044i | ||||||||
\(382\) | 6.87403 | − | 24.2839i | 0.351706 | − | 1.24247i | ||||
\(383\) | 9.23779i | 0.472029i | 0.971750 | + | 0.236015i | \(0.0758413\pi\) | ||||
−0.971750 | + | 0.236015i | \(0.924159\pi\) | |||||||
\(384\) | 4.48274 | + | 1.68819i | 0.228759 | + | 0.0861500i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 7.02311 | − | 24.8106i | 0.357467 | − | 1.26283i | ||||
\(387\) | 30.4047 | 1.54556 | ||||||||
\(388\) | −5.83079 | − | 3.58858i | −0.296013 | − | 0.182182i | ||||
\(389\) | 17.0843 | 0.866208 | 0.433104 | − | 0.901344i | \(-0.357418\pi\) | ||||
0.433104 | + | 0.901344i | \(0.357418\pi\) | |||||||
\(390\) | −1.32630 | − | 3.14109i | −0.0671600 | − | 0.159055i | ||||
\(391\) | −23.6848 | −1.19779 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | − | 4.17063i | − | 0.210380i | ||||||
\(394\) | 4.37452 | − | 15.4539i | 0.220385 | − | 0.778557i | ||||
\(395\) | 6.48628 | + | 8.09714i | 0.326360 | + | 0.407411i | ||||
\(396\) | 14.4757 | − | 23.5203i | 0.727430 | − | 1.18194i | ||||
\(397\) | 33.5365 | 1.68315 | 0.841573 | − | 0.540143i | \(-0.181630\pi\) | ||||
0.841573 | + | 0.540143i | \(0.181630\pi\) | |||||||
\(398\) | 12.2852 | + | 3.47756i | 0.615802 | + | 0.174315i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 19.3912 | − | 4.89694i | 0.969562 | − | 0.244847i | ||||
\(401\) | −12.8286 | −0.640627 | −0.320314 | − | 0.947312i | \(-0.603788\pi\) | ||||
−0.320314 | + | 0.947312i | \(0.603788\pi\) | |||||||
\(402\) | −0.145031 | + | 0.512353i | −0.00723350 | + | 0.0255538i | ||||
\(403\) | −3.76282 | −0.187440 | ||||||||
\(404\) | 7.65976 | − | 12.4457i | 0.381087 | − | 0.619198i | ||||
\(405\) | −12.9471 | + | 10.3714i | −0.643348 | + | 0.515359i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −11.5495 | −0.572487 | ||||||||
\(408\) | 4.50934 | − | 4.14429i | 0.223245 | − | 0.205173i | ||||
\(409\) | 21.5972i | 1.06791i | 0.845511 | + | 0.533957i | \(0.179296\pi\) | ||||
−0.845511 | + | 0.533957i | \(0.820704\pi\) | |||||||
\(410\) | −8.67696 | − | 20.5497i | −0.428525 | − | 1.01488i | ||||
\(411\) | 1.98774 | 0.0980480 | ||||||||
\(412\) | −7.07664 | + | 11.4983i | −0.348641 | + | 0.566479i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 17.7756 | + | 5.03172i | 0.873623 | + | 0.247296i | ||||
\(415\) | −6.05154 | − | 7.55444i | −0.297058 | − | 0.370833i | ||||
\(416\) | 2.74240 | + | 14.1425i | 0.134457 | + | 0.693395i | ||||
\(417\) | 5.87429i | 0.287665i | ||||||||
\(418\) | 11.8157 | − | 41.7413i | 0.577924 | − | 2.04164i | ||||
\(419\) | −18.7281 | −0.914929 | −0.457464 | − | 0.889228i | \(-0.651242\pi\) | ||||
−0.457464 | + | 0.889228i | \(0.651242\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −18.9665 | −0.924371 | −0.462186 | − | 0.886783i | \(-0.652935\pi\) | ||||
−0.462186 | + | 0.886783i | \(0.652935\pi\) | |||||||
\(422\) | 1.69545 | − | 5.98951i | 0.0825330 | − | 0.291565i | ||||
\(423\) | − | 34.4540i | − | 1.67521i | ||||||
\(424\) | −4.65694 | + | 4.27994i | −0.226161 | + | 0.207852i | ||||
\(425\) | 5.58108 | − | 24.9550i | 0.270722 | − | 1.21049i | ||||
\(426\) | −8.25645 | − | 2.33715i | −0.400026 | − | 0.113235i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 16.7430 | + | 10.3045i | 0.809303 | + | 0.498088i | ||||
\(429\) | −5.27843 | −0.254845 | ||||||||
\(430\) | 31.4016 | − | 13.2591i | 1.51432 | − | 0.639411i | ||||
\(431\) | 27.0242i | 1.30171i | 0.759203 | + | 0.650854i | \(0.225589\pi\) | ||||
−0.759203 | + | 0.650854i | \(0.774411\pi\) | |||||||
\(432\) | −8.80048 | + | 4.44145i | −0.423413 | + | 0.213689i | ||||
\(433\) | 15.0015 | 0.720928 | 0.360464 | − | 0.932773i | \(-0.382618\pi\) | ||||
0.360464 | + | 0.932773i | \(0.382618\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.11842 | + | 1.39618i | 0.0536243 | + | 0.0669418i | ||||
\(436\) | −16.0315 | − | 9.86662i | −0.767769 | − | 0.472526i | ||||
\(437\) | 29.0185 | 1.38814 | ||||||||
\(438\) | 1.28377 | − | 4.53517i | 0.0613408 | − | 0.216699i | ||||
\(439\) | 18.4380 | 0.879997 | 0.439998 | − | 0.897999i | \(-0.354979\pi\) | ||||
0.439998 | + | 0.897999i | \(0.354979\pi\) | |||||||
\(440\) | 4.69336 | − | 30.6041i | 0.223747 | − | 1.45900i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 17.7227 | + | 5.01676i | 0.842985 | + | 0.238623i | ||||
\(443\) | −20.8595 | −0.991067 | −0.495533 | − | 0.868589i | \(-0.665027\pi\) | ||||
−0.495533 | + | 0.868589i | \(0.665027\pi\) | |||||||
\(444\) | 1.70132 | + | 1.04708i | 0.0807410 | + | 0.0496923i | ||||
\(445\) | 3.05116 | + | 3.80891i | 0.144639 | + | 0.180560i | ||||
\(446\) | 5.43510 | − | 19.2006i | 0.257359 | − | 0.909175i | ||||
\(447\) | − | 2.31322i | − | 0.109411i | ||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 14.6483 | 0.691298 | 0.345649 | − | 0.938364i | \(-0.387659\pi\) | ||||
0.345649 | + | 0.938364i | \(0.387659\pi\) | |||||||
\(450\) | −9.49022 | + | 17.5432i | −0.447373 | + | 0.826996i | ||||
\(451\) | −34.5326 | −1.62608 | ||||||||
\(452\) | 16.6950 | − | 27.1264i | 0.785268 | − | 1.27592i | ||||
\(453\) | 0.633433 | 0.0297613 | ||||||||
\(454\) | 4.23611 | − | 14.9649i | 0.198811 | − | 0.702339i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −5.52481 | + | 5.07756i | −0.258723 | + | 0.237779i | ||||
\(457\) | − | 1.19001i | − | 0.0556663i | −0.999613 | − | 0.0278331i | \(-0.991139\pi\) | ||
0.999613 | − | 0.0278331i | \(-0.00886070\pi\) | |||||||
\(458\) | 3.12361 | − | 11.0348i | 0.145957 | − | 0.515623i | ||||
\(459\) | 12.6038i | 0.588297i | ||||||||
\(460\) | 20.5527 | − | 2.55501i | 0.958273 | − | 0.119128i | ||||
\(461\) | − | 14.5645i | − | 0.678336i | −0.940726 | − | 0.339168i | \(-0.889854\pi\) | ||
0.940726 | − | 0.339168i | \(-0.110146\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.69391 | −0.218145 | −0.109072 | − | 0.994034i | \(-0.534788\pi\) | ||||
−0.109072 | + | 0.994034i | \(0.534788\pi\) | |||||||
\(464\) | −3.40543 | − | 6.74767i | −0.158093 | − | 0.313253i | ||||
\(465\) | −0.874556 | − | 1.09175i | −0.0405565 | − | 0.0506287i | ||||
\(466\) | 6.11451 | − | 21.6008i | 0.283249 | − | 1.00064i | ||||
\(467\) | − | 25.2818i | − | 1.16990i | −0.811068 | − | 0.584952i | \(-0.801113\pi\) | ||
0.811068 | − | 0.584952i | \(-0.198887\pi\) | |||||||
\(468\) | −12.2353 | − | 7.53023i | −0.565575 | − | 0.348085i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −15.0249 | − | 35.5836i | −0.693048 | − | 1.64135i | ||||
\(471\) | − | 9.69706i | − | 0.446817i | ||||||
\(472\) | −10.8903 | − | 11.8495i | −0.501265 | − | 0.545418i | ||||
\(473\) | − | 52.7686i | − | 2.42631i | ||||||
\(474\) | −2.67306 | − | 0.756661i | −0.122778 | − | 0.0347546i | ||||
\(475\) | −6.83791 | + | 30.5747i | −0.313745 | + | 1.40286i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | − | 6.30776i | − | 0.288813i | ||||||
\(478\) | 9.43451 | − | 33.3294i | 0.431525 | − | 1.52445i | ||||
\(479\) | 4.10286 | 0.187464 | 0.0937322 | − | 0.995597i | \(-0.470120\pi\) | ||||
0.0937322 | + | 0.995597i | \(0.470120\pi\) | |||||||
\(480\) | −3.46595 | + | 4.08269i | −0.158198 | + | 0.186349i | ||||
\(481\) | 6.00804i | 0.273943i | ||||||||
\(482\) | −7.39023 | + | 26.1075i | −0.336616 | + | 1.18916i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −22.0846 | − | 13.5920i | −1.00385 | − | 0.617820i | ||||
\(485\) | 5.97426 | − | 4.78573i | 0.271277 | − | 0.217309i | ||||
\(486\) | 4.05767 | − | 14.3346i | 0.184060 | − | 0.650229i | ||||
\(487\) | −33.8115 | −1.53215 | −0.766073 | − | 0.642754i | \(-0.777792\pi\) | ||||
−0.766073 | + | 0.642754i | \(0.777792\pi\) | |||||||
\(488\) | 8.05943 | − | 7.40700i | 0.364833 | − | 0.335299i | ||||
\(489\) | − | 0.817356i | − | 0.0369621i | ||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 25.9116i | 1.16937i | 0.811259 | + | 0.584686i | \(0.198782\pi\) | ||||
−0.811259 | + | 0.584686i | \(0.801218\pi\) | |||||||
\(492\) | 5.08688 | + | 3.13074i | 0.229334 | + | 0.141145i | ||||
\(493\) | −9.66385 | −0.435238 | ||||||||
\(494\) | −21.7138 | − | 6.14651i | −0.976950 | − | 0.276544i | ||||
\(495\) | 19.3048 | + | 24.0991i | 0.867684 | + | 1.08317i | ||||
\(496\) | 2.66289 | + | 5.27637i | 0.119567 | + | 0.236916i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 2.49390 | + | 0.705946i | 0.111754 | + | 0.0316342i | ||||
\(499\) | − | 24.3024i | − | 1.08792i | −0.839110 | − | 0.543962i | \(-0.816923\pi\) | ||
0.839110 | − | 0.543962i | \(-0.183077\pi\) | |||||||
\(500\) | −2.15099 | + | 22.2570i | −0.0961953 | + | 0.995362i | ||||
\(501\) | 7.18391 | 0.320953 | ||||||||
\(502\) | 28.7557 | + | 8.13985i | 1.28343 | + | 0.363299i | ||||
\(503\) | − | 11.5222i | − | 0.513750i | −0.966445 | − | 0.256875i | \(-0.917307\pi\) | ||
0.966445 | − | 0.256875i | \(-0.0826928\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 10.2151 | + | 12.7520i | 0.454564 | + | 0.567455i | ||||
\(506\) | 8.73276 | − | 30.8503i | 0.388218 | − | 1.37146i | ||||
\(507\) | − | 2.75821i | − | 0.122496i | ||||||
\(508\) | 20.8125 | + | 12.8091i | 0.923404 | + | 0.568312i | ||||
\(509\) | 27.1315i | 1.20258i | 0.799031 | + | 0.601290i | \(0.205347\pi\) | ||||
−0.799031 | + | 0.601290i | \(0.794653\pi\) | |||||||
\(510\) | 2.66355 | + | 6.30810i | 0.117944 | + | 0.279327i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 17.8904 | − | 13.8540i | 0.790653 | − | 0.612264i | ||||
\(513\) | − | 15.4422i | − | 0.681788i | ||||||
\(514\) | 34.9059 | + | 9.88077i | 1.53963 | + | 0.435822i | ||||
\(515\) | −9.43741 | − | 11.7812i | −0.415862 | − | 0.519141i | ||||
\(516\) | −4.78403 | + | 7.77318i | −0.210605 | + | 0.342195i | ||||
\(517\) | −59.7962 | −2.62983 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 4.24926i | 0.186522i | ||||||||
\(520\) | −15.9203 | − | 2.44148i | −0.698149 | − | 0.107066i | ||||
\(521\) | 17.2809i | 0.757090i | 0.925583 | + | 0.378545i | \(0.123576\pi\) | ||||
−0.925583 | + | 0.378545i | \(0.876424\pi\) | |||||||
\(522\) | 7.25279 | + | 2.05304i | 0.317446 | + | 0.0898592i | ||||
\(523\) | 19.0461i | 0.832828i | 0.909175 | + | 0.416414i | \(0.136713\pi\) | ||||
−0.909175 | + | 0.416414i | \(0.863287\pi\) | |||||||
\(524\) | −16.7782 | − | 10.3262i | −0.732958 | − | 0.451101i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −13.6344 | − | 3.85946i | −0.594486 | − | 0.168281i | ||||
\(527\) | 7.55669 | 0.329175 | ||||||||
\(528\) | 3.73546 | + | 7.40160i | 0.162565 | + | 0.322114i | ||||
\(529\) | −1.55298 | −0.0675209 | ||||||||
\(530\) | −2.75073 | − | 6.51457i | −0.119484 | − | 0.282975i | ||||
\(531\) | 16.0500 | 0.696511 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 17.9638i | 0.778100i | ||||||||
\(534\) | −1.25741 | − | 0.355935i | −0.0544136 | − | 0.0154028i | ||||
\(535\) | −17.1550 | + | 13.7421i | −0.741674 | + | 0.594123i | ||||
\(536\) | 1.70208 | + | 1.85200i | 0.0735185 | + | 0.0799943i | ||||
\(537\) | 1.50422 | 0.0649120 | ||||||||
\(538\) | −5.27490 | + | 18.6347i | −0.227417 | + | 0.803399i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −1.35965 | − | 10.9371i | −0.0585100 | − | 0.470657i | ||||
\(541\) | 18.3881 | 0.790564 | 0.395282 | − | 0.918560i | \(-0.370647\pi\) | ||||
0.395282 | + | 0.918560i | \(0.370647\pi\) | |||||||
\(542\) | −20.9023 | − | 5.91679i | −0.897830 | − | 0.254148i | ||||
\(543\) | 9.42951 | 0.404659 | ||||||||
\(544\) | −5.50743 | − | 28.4018i | −0.236129 | − | 1.21772i | ||||
\(545\) | 16.4259 | − | 13.1581i | 0.703610 | − | 0.563632i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 18.9519 | 0.810323 | 0.405161 | − | 0.914245i | \(-0.367215\pi\) | ||||
0.405161 | + | 0.914245i | \(0.367215\pi\) | |||||||
\(548\) | 4.92151 | − | 7.99656i | 0.210236 | − | 0.341596i | ||||
\(549\) | 10.9164i | 0.465901i | ||||||||
\(550\) | 30.4470 | + | 16.4707i | 1.29826 | + | 0.702311i | ||||
\(551\) | 11.8401 | 0.504405 | ||||||||
\(552\) | −4.08329 | + | 3.75274i | −0.173796 | + | 0.159727i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 6.85974 | − | 24.2335i | 0.291443 | − | 1.02958i | ||||
\(555\) | −1.74318 | + | 1.39639i | −0.0739939 | + | 0.0592734i | ||||
\(556\) | 23.6319 | + | 14.5443i | 1.00222 | + | 0.616817i | ||||
\(557\) | 25.5109i | 1.08093i | 0.841365 | + | 0.540467i | \(0.181752\pi\) | ||||
−0.841365 | + | 0.540467i | \(0.818248\pi\) | |||||||
\(558\) | −5.67136 | − | 1.60539i | −0.240088 | − | 0.0679614i | ||||
\(559\) | −27.4502 | −1.16102 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 10.6004 | 0.447549 | ||||||||
\(562\) | −40.3011 | − | 11.4080i | −1.70000 | − | 0.481217i | ||||
\(563\) | − | 31.4612i | − | 1.32593i | −0.748650 | − | 0.662965i | \(-0.769298\pi\) | ||
0.748650 | − | 0.662965i | \(-0.230702\pi\) | |||||||
\(564\) | 8.80838 | + | 5.42115i | 0.370900 | + | 0.228272i | ||||
\(565\) | 22.2645 | + | 27.7939i | 0.936675 | + | 1.16930i | ||||
\(566\) | 1.37830 | − | 4.86912i | 0.0579342 | − | 0.204665i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −29.8446 | + | 27.4286i | −1.25225 | + | 1.15088i | ||||
\(569\) | 16.4346 | 0.688972 | 0.344486 | − | 0.938791i | \(-0.388053\pi\) | ||||
0.344486 | + | 0.938791i | \(0.388053\pi\) | |||||||
\(570\) | −3.26337 | − | 7.72865i | −0.136687 | − | 0.323717i | ||||
\(571\) | − | 15.0067i | − | 0.628011i | −0.949421 | − | 0.314005i | \(-0.898329\pi\) | ||
0.949421 | − | 0.314005i | \(-0.101671\pi\) | |||||||
\(572\) | −13.0690 | + | 21.2348i | −0.546443 | + | 0.887871i | ||||
\(573\) | −7.55580 | −0.315648 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −5.05378 | + | 22.5972i | −0.210757 | + | 0.942370i | ||||
\(576\) | −1.90046 | + | 22.4858i | −0.0791857 | + | 0.936907i | ||||
\(577\) | 2.49932 | 0.104048 | 0.0520240 | − | 0.998646i | \(-0.483433\pi\) | ||||
0.0520240 | + | 0.998646i | \(0.483433\pi\) | |||||||
\(578\) | −12.4590 | − | 3.52676i | −0.518226 | − | 0.146694i | ||||
\(579\) | −7.71967 | −0.320818 | ||||||||
\(580\) | 8.38589 | − | 1.04250i | 0.348205 | − | 0.0432873i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −0.558282 | + | 1.97225i | −0.0231415 | + | 0.0817522i | ||||
\(583\) | −10.9474 | −0.453394 | ||||||||
\(584\) | −15.0662 | − | 16.3933i | −0.623444 | − | 0.678360i | ||||
\(585\) | 12.5363 | − | 10.0423i | 0.518313 | − | 0.415199i | ||||
\(586\) | 24.1857 | + | 6.84624i | 0.999104 | + | 0.282815i | ||||
\(587\) | − | 22.1562i | − | 0.914482i | −0.889343 | − | 0.457241i | \(-0.848838\pi\) | ||
0.889343 | − | 0.457241i | \(-0.151162\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −9.25842 | −0.381487 | ||||||||
\(590\) | 16.5762 | − | 6.99920i | 0.682433 | − | 0.288153i | ||||
\(591\) | −4.80839 | −0.197791 | ||||||||
\(592\) | 8.42469 | − | 4.25180i | 0.346253 | − | 0.174748i | ||||
\(593\) | −28.6502 | −1.17652 | −0.588262 | − | 0.808670i | \(-0.700188\pi\) | ||||
−0.588262 | + | 0.808670i | \(0.700188\pi\) | |||||||
\(594\) | −16.4169 | − | 4.64713i | −0.673596 | − | 0.190674i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −9.30594 | − | 5.72737i | −0.381186 | − | 0.234602i | ||||
\(597\) | − | 3.82247i | − | 0.156443i | ||||||
\(598\) | −16.0483 | − | 4.54277i | −0.656263 | − | 0.185768i | ||||
\(599\) | − | 16.4006i | − | 0.670110i | −0.942199 | − | 0.335055i | \(-0.891245\pi\) | ||
0.942199 | − | 0.335055i | \(-0.108755\pi\) | |||||||
\(600\) | −2.99181 | − | 5.18657i | −0.122140 | − | 0.211741i | ||||
\(601\) | 22.1672i | 0.904220i | 0.891962 | + | 0.452110i | \(0.149329\pi\) | ||||
−0.891962 | + | 0.452110i | \(0.850671\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −2.50851 | −0.102155 | ||||||||
\(604\) | 1.56834 | − | 2.54826i | 0.0638147 | − | 0.103687i | ||||
\(605\) | 22.6280 | − | 18.1263i | 0.919959 | − | 0.736940i | ||||
\(606\) | −4.20973 | − | 1.19164i | −0.171008 | − | 0.0484072i | ||||
\(607\) | − | 28.7504i | − | 1.16694i | −0.812133 | − | 0.583472i | \(-0.801694\pi\) | ||
0.812133 | − | 0.583472i | \(-0.198306\pi\) | |||||||
\(608\) | 6.74768 | + | 34.7977i | 0.273654 | + | 1.41123i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 4.76050 | + | 11.2743i | 0.192747 | + | 0.456484i | ||||
\(611\) | 31.1059i | 1.25841i | ||||||||
\(612\) | 24.5715 | + | 15.1226i | 0.993243 | + | 0.611295i | ||||
\(613\) | 12.1472i | 0.490620i | 0.969445 | + | 0.245310i | \(0.0788898\pi\) | ||||
−0.969445 | + | 0.245310i | \(0.921110\pi\) | |||||||
\(614\) | −12.6696 | + | 44.7581i | −0.511305 | + | 1.80629i | ||||
\(615\) | −5.21205 | + | 4.17515i | −0.210170 | + | 0.168358i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − | 15.9265i | − | 0.641175i | −0.947219 | − | 0.320588i | \(-0.896120\pi\) | ||
0.947219 | − | 0.320588i | \(-0.103880\pi\) | |||||||
\(618\) | 3.88925 | + | 1.10093i | 0.156449 | + | 0.0442858i | ||||
\(619\) | −3.88335 | −0.156085 | −0.0780424 | − | 0.996950i | \(-0.524867\pi\) | ||||
−0.0780424 | + | 0.996950i | \(0.524867\pi\) | |||||||
\(620\) | −6.55739 | + | 0.815184i | −0.263351 | + | 0.0327386i | ||||
\(621\) | − | 11.4130i | − | 0.457989i | ||||||
\(622\) | −27.0446 | − | 7.65549i | −1.08439 | − | 0.306957i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 3.85031 | − | 1.94319i | 0.154136 | − | 0.0777897i | ||||
\(625\) | −22.6183 | − | 10.6496i | −0.904730 | − | 0.425985i | ||||
\(626\) | 8.66992 | + | 2.45419i | 0.346520 | + | 0.0980890i | ||||
\(627\) | −12.9876 | −0.518673 | ||||||||
\(628\) | −39.0107 | − | 24.0092i | −1.55670 | − | 0.958073i | ||||
\(629\) | − | 12.0656i | − | 0.481089i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 12.2743i | 0.488633i | 0.969696 | + | 0.244316i | \(0.0785636\pi\) | ||||
−0.969696 | + | 0.244316i | \(0.921436\pi\) | |||||||
\(632\) | −9.66231 | + | 8.88012i | −0.384346 | + | 0.353232i | ||||
\(633\) | −1.86360 | −0.0740715 | ||||||||
\(634\) | −6.54902 | + | 23.1358i | −0.260095 | + | 0.918838i | ||||
\(635\) | −21.3246 | + | 17.0822i | −0.846240 | + | 0.677887i | ||||
\(636\) | 1.61262 | + | 0.992493i | 0.0639446 | + | 0.0393549i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 3.56314 | − | 12.5875i | 0.141066 | − | 0.498345i | ||||
\(639\) | − | 40.4242i | − | 1.59916i | ||||||
\(640\) | 7.84299 | + | 24.0518i | 0.310021 | + | 0.950730i | ||||
\(641\) | 14.8270 | 0.585631 | 0.292816 | − | 0.956169i | \(-0.405408\pi\) | ||||
0.292816 | + | 0.956169i | \(0.405408\pi\) | |||||||
\(642\) | 1.60309 | − | 5.66326i | 0.0632691 | − | 0.223511i | ||||
\(643\) | 11.8058i | 0.465577i | 0.972527 | + | 0.232789i | \(0.0747850\pi\) | ||||
−0.972527 | + | 0.232789i | \(0.925215\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −6.37998 | − | 7.96444i | −0.251211 | − | 0.313600i | ||||
\(646\) | 43.6068 | + | 12.3437i | 1.71569 | + | 0.485657i | ||||
\(647\) | 34.6071i | 1.36054i | 0.732960 | + | 0.680272i | \(0.238138\pi\) | ||||
−0.732960 | + | 0.680272i | \(0.761862\pi\) | |||||||
\(648\) | −14.1991 | − | 15.4498i | −0.557793 | − | 0.606926i | ||||
\(649\) | − | 27.8554i | − | 1.09342i | ||||||
\(650\) | 8.56802 | − | 15.8385i | 0.336065 | − | 0.621237i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −3.28817 | − | 2.02372i | −0.128775 | − | 0.0792549i | ||||
\(653\) | 28.1875i | 1.10306i | 0.834155 | + | 0.551531i | \(0.185956\pi\) | ||||
−0.834155 | + | 0.551531i | \(0.814044\pi\) | |||||||
\(654\) | −1.53497 | + | 5.42260i | −0.0600221 | + | 0.212040i | ||||
\(655\) | 17.1910 | − | 13.7710i | 0.671709 | − | 0.538077i | ||||
\(656\) | 25.1895 | − | 12.7127i | 0.983487 | − | 0.496349i | ||||
\(657\) | 22.2045 | 0.866281 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 9.79123i | 0.381412i | 0.981647 | + | 0.190706i | \(0.0610777\pi\) | ||||
−0.981647 | + | 0.190706i | \(0.938922\pi\) | |||||||
\(660\) | −9.19859 | + | 1.14353i | −0.358055 | + | 0.0445117i | ||||
\(661\) | − | 0.817006i | − | 0.0317779i | −0.999874 | − | 0.0158889i | \(-0.994942\pi\) | ||
0.999874 | − | 0.0158889i | \(-0.00505782\pi\) | |||||||
\(662\) | −5.64731 | + | 19.9503i | −0.219489 | + | 0.775391i | ||||
\(663\) | − | 5.51432i | − | 0.214158i | ||||||
\(664\) | 9.01470 | − | 8.28494i | 0.349838 | − | 0.321518i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −2.56329 | + | 9.05536i | −0.0993255 | + | 0.350888i | ||||
\(667\) | 8.75081 | 0.338833 | ||||||||
\(668\) | 17.7869 | − | 28.9004i | 0.688194 | − | 1.11819i | ||||
\(669\) | −5.97415 | −0.230974 | ||||||||
\(670\) | −2.59076 | + | 1.09393i | −0.100090 | + | 0.0422622i | ||||
\(671\) | 18.9459 | 0.731397 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 9.43129i | 0.363550i | 0.983340 | + | 0.181775i | \(0.0581842\pi\) | ||||
−0.983340 | + | 0.181775i | \(0.941816\pi\) | |||||||
\(674\) | −5.87158 | + | 20.7426i | −0.226165 | + | 0.798974i | ||||
\(675\) | 12.0251 | + | 2.68936i | 0.462846 | + | 0.103514i | ||||
\(676\) | −11.0961 | − | 6.82914i | −0.426774 | − | 0.262659i | ||||
\(677\) | −2.47400 | −0.0950837 | −0.0475418 | − | 0.998869i | \(-0.515139\pi\) | ||||
−0.0475418 | + | 0.998869i | \(0.515139\pi\) | |||||||
\(678\) | −9.17542 | − | 2.59728i | −0.352380 | − | 0.0997479i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 31.9719 | + | 4.90311i | 1.22606 | + | 0.188026i | ||||
\(681\) | −4.65625 | −0.178428 | ||||||||
\(682\) | −2.78621 | + | 9.84287i | −0.106690 | + | 0.376903i | ||||
\(683\) | 18.7560 | 0.717679 | 0.358840 | − | 0.933399i | \(-0.383173\pi\) | ||||
0.358840 | + | 0.933399i | \(0.383173\pi\) | |||||||
\(684\) | −30.1048 | − | 18.5281i | −1.15109 | − | 0.708440i | ||||
\(685\) | 6.56332 | + | 8.19332i | 0.250772 | + | 0.313051i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −3.43341 | −0.130993 | ||||||||
\(688\) | 19.4261 | + | 38.4917i | 0.740613 | + | 1.46748i | ||||
\(689\) | 5.69482i | 0.216955i | ||||||||
\(690\) | −2.41190 | − | 5.71210i | −0.0918193 | − | 0.217456i | ||||
\(691\) | 4.22127 | 0.160585 | 0.0802923 | − | 0.996771i | \(-0.474415\pi\) | ||||
0.0802923 | + | 0.996771i | \(0.474415\pi\) | |||||||
\(692\) | 17.0945 | + | 10.5209i | 0.649836 | + | 0.399943i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 45.4753 | + | 12.8727i | 1.72622 | + | 0.488640i | ||||
\(695\) | −24.2134 | + | 19.3963i | −0.918466 | + | 0.735744i | ||||
\(696\) | −1.66606 | + | 1.53119i | −0.0631520 | + | 0.0580396i | ||||
\(697\) | − | 36.0759i | − | 1.36647i | ||||||
\(698\) | −6.22406 | + | 21.9878i | −0.235584 | + | 0.832250i | ||||
\(699\) | −6.72095 | −0.254210 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −12.2843 | −0.463971 | −0.231985 | − | 0.972719i | \(-0.574522\pi\) | ||||
−0.231985 | + | 0.972719i | \(0.574522\pi\) | |||||||
\(702\) | −2.41743 | + | 8.54008i | −0.0912401 | + | 0.322325i | ||||
\(703\) | 14.7828i | 0.557542i | ||||||||
\(704\) | 39.0250 | + | 3.29832i | 1.47081 | + | 0.124310i | ||||
\(705\) | −9.02512 | + | 7.22964i | −0.339906 | + | 0.272284i | ||||
\(706\) | 30.8691 | + | 8.73809i | 1.16177 | + | 0.328862i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −2.52539 | + | 4.10329i | −0.0949098 | + | 0.154211i | ||||
\(709\) | 2.93616 | 0.110270 | 0.0551348 | − | 0.998479i | \(-0.482441\pi\) | ||||
0.0551348 | + | 0.998479i | \(0.482441\pi\) | |||||||
\(710\) | −17.6285 | − | 41.7495i | −0.661584 | − | 1.56683i | ||||
\(711\) | − | 13.0875i | − | 0.490819i | ||||||
\(712\) | −4.54517 | + | 4.17723i | −0.170337 | + | 0.156548i | ||||
\(713\) | −6.84273 | −0.256262 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −17.4288 | − | 21.7573i | −0.651802 | − | 0.813677i | ||||
\(716\) | 3.72435 | − | 6.05140i | 0.139186 | − | 0.226151i | ||||
\(717\) | −10.3702 | −0.387283 | ||||||||
\(718\) | 6.45872 | − | 22.8168i | 0.241037 | − | 0.851514i | ||||
\(719\) | −47.5276 | −1.77248 | −0.886240 | − | 0.463226i | \(-0.846692\pi\) | ||||
−0.886240 | + | 0.463226i | \(0.846692\pi\) | |||||||
\(720\) | −22.9535 | − | 10.4721i | −0.855426 | − | 0.390272i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −27.5726 | − | 7.80495i | −1.02615 | − | 0.290470i | ||||
\(723\) | 8.12319 | 0.302105 | ||||||||
\(724\) | 23.3468 | − | 37.9343i | 0.867677 | − | 1.40982i | ||||
\(725\) | −2.06204 | + | 9.22011i | −0.0765823 | + | 0.342426i | ||||
\(726\) | −2.11454 | + | 7.47004i | −0.0784779 | + | 0.277239i | ||||
\(727\) | − | 8.28795i | − | 0.307383i | −0.988119 | − | 0.153692i | \(-0.950884\pi\) | ||
0.988119 | − | 0.153692i | \(-0.0491162\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 17.7963 | 0.659124 | ||||||||
\(730\) | 22.9325 | − | 9.68311i | 0.848771 | − | 0.358388i | ||||
\(731\) | 55.1269 | 2.03894 | ||||||||
\(732\) | −2.79085 | − | 1.71764i | −0.103153 | − | 0.0634858i | ||||
\(733\) | 41.9860 | 1.55079 | 0.775395 | − | 0.631477i | \(-0.217551\pi\) | ||||
0.775395 | + | 0.631477i | \(0.217551\pi\) | |||||||
\(734\) | −6.02552 | + | 21.2864i | −0.222406 | + | 0.785696i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 4.98709 | + | 25.7184i | 0.183826 | + | 0.947991i | ||||
\(737\) | 4.35363i | 0.160368i | ||||||||
\(738\) | −7.66416 | + | 27.0752i | −0.282121 | + | 0.996653i | ||||
\(739\) | 25.9230i | 0.953593i | 0.879014 | + | 0.476796i | \(0.158202\pi\) | ||||
−0.879014 | + | 0.476796i | \(0.841798\pi\) | |||||||
\(740\) | 1.30159 | + | 10.4701i | 0.0478474 | + | 0.384887i | ||||
\(741\) | 6.75612i | 0.248192i | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −11.2976 | −0.414470 | −0.207235 | − | 0.978291i | \(-0.566446\pi\) | ||||
−0.207235 | + | 0.978291i | \(0.566446\pi\) | |||||||
\(744\) | 1.30279 | − | 1.19732i | 0.0477624 | − | 0.0438959i | ||||
\(745\) | 9.53492 | − | 7.63802i | 0.349332 | − | 0.279835i | ||||
\(746\) | −6.58840 | + | 23.2749i | −0.241219 | + | 0.852155i | ||||
\(747\) | 12.2103i | 0.446752i | ||||||||
\(748\) | 26.2459 | − | 42.6448i | 0.959644 | − | 1.55925i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 6.58679 | − | 1.19525i | 0.240515 | − | 0.0436442i | ||||
\(751\) | − | 5.61823i | − | 0.205012i | −0.994732 | − | 0.102506i | \(-0.967314\pi\) | ||
0.994732 | − | 0.102506i | \(-0.0326861\pi\) | |||||||
\(752\) | 43.6179 | − | 22.0132i | 1.59058 | − | 0.802739i | ||||
\(753\) | − | 8.94716i | − | 0.326053i | ||||||
\(754\) | −6.54802 | − | 1.85354i | −0.238465 | − | 0.0675020i | ||||
\(755\) | 2.09153 | + | 2.61097i | 0.0761187 | + | 0.0950228i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 27.0456i | 0.982990i | 0.870880 | + | 0.491495i | \(0.163549\pi\) | ||||
−0.870880 | + | 0.491495i | \(0.836451\pi\) | |||||||
\(758\) | 3.99676 | − | 14.1194i | 0.145169 | − | 0.512839i | ||||
\(759\) | −9.59887 | −0.348417 | ||||||||
\(760\) | −39.1718 | − | 6.00726i | −1.42091 | − | 0.217906i | ||||
\(761\) | 25.8142i | 0.935765i | 0.883791 | + | 0.467883i | \(0.154983\pi\) | ||||
−0.883791 | + | 0.467883i | \(0.845017\pi\) | |||||||
\(762\) | 1.99274 | − | 7.03975i | 0.0721892 | − | 0.255023i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −18.7076 | + | 30.3965i | −0.676818 | + | 1.09971i | ||||
\(765\) | −25.1761 | + | 20.1675i | −0.910243 | + | 0.729157i | ||||
\(766\) | 3.55826 | − | 12.5703i | 0.128565 | − | 0.454183i | ||||
\(767\) | −14.4904 | −0.523217 | ||||||||
\(768\) | −5.44961 | − | 4.02388i | −0.196646 | − | 0.145199i | ||||
\(769\) | − | 5.58909i | − | 0.201548i | −0.994909 | − | 0.100774i | \(-0.967868\pi\) | ||
0.994909 | − | 0.100774i | \(-0.0321319\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | − | 10.8608i | − | 0.391140i | ||||||
\(772\) | −19.1134 | + | 31.0557i | −0.687905 | + | 1.11772i | ||||
\(773\) | −8.77216 | −0.315513 | −0.157756 | − | 0.987478i | \(-0.550426\pi\) | ||||
−0.157756 | + | 0.987478i | \(0.550426\pi\) | |||||||
\(774\) | −41.3732 | − | 11.7115i | −1.48713 | − | 0.420960i | ||||
\(775\) | 1.61242 | − | 7.20971i | 0.0579199 | − | 0.258980i | ||||
\(776\) | 6.55196 | + | 7.12908i | 0.235202 | + | 0.255919i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −23.2474 | − | 6.58062i | −0.833459 | − | 0.235927i | ||||
\(779\) | 44.2000i | 1.58363i | ||||||||
\(780\) | 0.594862 | + | 4.78510i | 0.0212995 | + |