Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [242,2,Mod(5,242)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(242, base_ring=CyclotomicField(110))
chi = DirichletCharacter(H, H._module([74]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("242.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 242 = 2 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 242.g (of order \(55\), degree \(40\), 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: | \(1.93237972891\) |
Analytic rank: | \(0\) |
Dimension: | \(200\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{55})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{55}]$ |
Embedding invariants
Embedding label | 5.2 | ||
Character | \(\chi\) | \(=\) | 242.5 |
Dual form | 242.2.g.a.97.2 |
$q$-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 \(\left(\mathbb{Z}/242\mathbb{Z}\right)^\times\).
\(n\) | \(123\) |
\(\chi(n)\) | \(e\left(\frac{37}{55}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.516397 | + | 0.856349i | −0.365148 | + | 0.605530i | ||||
\(3\) | −0.433449 | − | 0.314919i | −0.250252 | − | 0.181819i | 0.455586 | − | 0.890192i | \(-0.349430\pi\) |
−0.705839 | + | 0.708373i | \(0.749430\pi\) | |||||||
\(4\) | −0.466667 | − | 0.884433i | −0.233334 | − | 0.442216i | ||||
\(5\) | −1.12246 | + | 0.917831i | −0.501980 | + | 0.410467i | −0.849809 | − | 0.527091i | \(-0.823283\pi\) |
0.347829 | + | 0.937558i | \(0.386919\pi\) | |||||||
\(6\) | 0.493513 | − | 0.208560i | 0.201476 | − | 0.0851444i | ||||
\(7\) | −1.54587 | + | 2.00472i | −0.584283 | + | 0.757712i | −0.987539 | − | 0.157375i | \(-0.949697\pi\) |
0.403256 | + | 0.915087i | \(0.367879\pi\) | |||||||
\(8\) | 0.998369 | + | 0.0570888i | 0.352977 | + | 0.0201839i | ||||
\(9\) | −0.838347 | − | 2.58017i | −0.279449 | − | 0.860055i | ||||
\(10\) | −0.206348 | − | 1.43518i | −0.0652531 | − | 0.453845i | ||||
\(11\) | −1.51982 | + | 2.94791i | −0.458243 | + | 0.888827i | ||||
\(12\) | −0.0762484 | + | 0.530319i | −0.0220110 | + | 0.153090i | ||||
\(13\) | −2.76139 | + | 0.477877i | −0.765871 | + | 0.132539i | −0.540054 | − | 0.841631i | \(-0.681596\pi\) |
−0.225817 | + | 0.974170i | \(0.572505\pi\) | |||||||
\(14\) | −0.918455 | − | 2.35903i | −0.245468 | − | 0.630478i | ||||
\(15\) | 0.775573 | − | 0.0443489i | 0.200252 | − | 0.0114508i | ||||
\(16\) | −0.564443 | + | 0.825472i | −0.141111 | + | 0.206368i | ||||
\(17\) | −6.84923 | + | 0.785876i | −1.66118 | + | 0.190603i | −0.893134 | − | 0.449790i | \(-0.851499\pi\) |
−0.768048 | + | 0.640393i | \(0.778772\pi\) | |||||||
\(18\) | 2.64244 | + | 0.614474i | 0.622830 | + | 0.144833i | ||||
\(19\) | 1.37068 | − | 0.774056i | 0.314455 | − | 0.177581i | −0.326423 | − | 0.945224i | \(-0.605843\pi\) |
0.640878 | + | 0.767643i | \(0.278571\pi\) | |||||||
\(20\) | 1.33558 | + | 0.564419i | 0.298644 | + | 0.126208i | ||||
\(21\) | 1.30138 | − | 0.382120i | 0.283984 | − | 0.0833853i | ||||
\(22\) | −1.73961 | − | 2.82379i | −0.370885 | − | 0.602033i | ||||
\(23\) | −2.24605 | − | 0.659501i | −0.468335 | − | 0.137515i | 0.0390461 | − | 0.999237i | \(-0.487568\pi\) |
−0.507381 | + | 0.861722i | \(0.669386\pi\) | |||||||
\(24\) | −0.414764 | − | 0.339151i | −0.0846634 | − | 0.0692289i | ||||
\(25\) | −0.575449 | + | 2.83995i | −0.115090 | + | 0.567991i | ||||
\(26\) | 1.01674 | − | 2.61148i | 0.199400 | − | 0.512154i | ||||
\(27\) | −0.945852 | + | 2.91103i | −0.182029 | + | 0.560229i | ||||
\(28\) | 2.49444 | + | 0.431681i | 0.471406 | + | 0.0815800i | ||||
\(29\) | 0.544163 | + | 2.68555i | 0.101048 | + | 0.498694i | 0.998358 | + | 0.0572909i | \(0.0182463\pi\) |
−0.897309 | + | 0.441403i | \(0.854481\pi\) | |||||||
\(30\) | −0.362526 | + | 0.687063i | −0.0661878 | + | 0.125440i | ||||
\(31\) | 8.46838 | − | 4.16362i | 1.52097 | − | 0.747808i | 0.526235 | − | 0.850339i | \(-0.323603\pi\) |
0.994730 | + | 0.102531i | \(0.0326940\pi\) | |||||||
\(32\) | −0.415415 | − | 0.909632i | −0.0734357 | − | 0.160802i | ||||
\(33\) | 1.58712 | − | 0.799147i | 0.276282 | − | 0.139114i | ||||
\(34\) | 2.86394 | − | 6.27116i | 0.491162 | − | 1.07549i | ||||
\(35\) | −0.104817 | − | 3.66906i | −0.0177173 | − | 0.620185i | ||||
\(36\) | −1.89076 | + | 1.94554i | −0.315126 | + | 0.324257i | ||||
\(37\) | −7.57127 | − | 7.79065i | −1.24471 | − | 1.28078i | −0.945126 | − | 0.326705i | \(-0.894062\pi\) |
−0.299583 | − | 0.954070i | \(-0.596847\pi\) | |||||||
\(38\) | −0.0449512 | + | 1.57350i | −0.00729205 | + | 0.255255i | ||||
\(39\) | 1.34741 | + | 0.662479i | 0.215759 | + | 0.106081i | ||||
\(40\) | −1.17303 | + | 0.852255i | −0.185472 | + | 0.134753i | ||||
\(41\) | 0.711799 | + | 8.28733i | 0.111164 | + | 1.29426i | 0.813143 | + | 0.582065i | \(0.197755\pi\) |
−0.701978 | + | 0.712198i | \(0.747700\pi\) | |||||||
\(42\) | −0.344801 | + | 1.31176i | −0.0532040 | + | 0.202409i | ||||
\(43\) | 2.60261 | − | 1.67260i | 0.396895 | − | 0.255069i | −0.326936 | − | 0.945047i | \(-0.606016\pi\) |
0.723831 | + | 0.689978i | \(0.242380\pi\) | |||||||
\(44\) | 3.31648 | − | 0.0315133i | 0.499977 | − | 0.00475080i | ||||
\(45\) | 3.30917 | + | 2.12667i | 0.493302 | + | 0.317026i | ||||
\(46\) | 1.72462 | − | 1.58284i | 0.254281 | − | 0.233377i | ||||
\(47\) | 8.38116 | − | 1.94896i | 1.22252 | − | 0.284284i | 0.434917 | − | 0.900470i | \(-0.356778\pi\) |
0.787601 | + | 0.616186i | \(0.211323\pi\) | |||||||
\(48\) | 0.504615 | − | 0.180046i | 0.0728348 | − | 0.0259874i | ||||
\(49\) | 0.150345 | + | 0.571972i | 0.0214779 | + | 0.0817102i | ||||
\(50\) | −2.13483 | − | 1.95933i | −0.301911 | − | 0.277091i | ||||
\(51\) | 3.21628 | + | 1.81632i | 0.450369 | + | 0.254335i | ||||
\(52\) | 1.71130 | + | 2.21925i | 0.237314 | + | 0.307755i | ||||
\(53\) | 3.06704 | + | 4.48540i | 0.421290 | + | 0.616117i | 0.976480 | − | 0.215606i | \(-0.0691727\pi\) |
−0.555190 | + | 0.831723i | \(0.687355\pi\) | |||||||
\(54\) | −2.00443 | − | 2.31323i | −0.272768 | − | 0.314791i | ||||
\(55\) | −0.999744 | − | 4.70385i | −0.134805 | − | 0.634266i | ||||
\(56\) | −1.65779 | + | 1.91320i | −0.221532 | + | 0.255662i | ||||
\(57\) | −0.837884 | − | 0.0961382i | −0.110980 | − | 0.0127338i | ||||
\(58\) | −2.58077 | − | 0.920817i | −0.338872 | − | 0.120909i | ||||
\(59\) | −0.933533 | + | 10.8689i | −0.121536 | + | 1.41501i | 0.640738 | + | 0.767759i | \(0.278628\pi\) |
−0.762274 | + | 0.647254i | \(0.775917\pi\) | |||||||
\(60\) | −0.401158 | − | 0.665246i | −0.0517893 | − | 0.0858829i | ||||
\(61\) | 3.31772 | + | 5.50183i | 0.424791 | + | 0.704437i | 0.992957 | − | 0.118478i | \(-0.0378014\pi\) |
−0.568166 | + | 0.822914i | \(0.692347\pi\) | |||||||
\(62\) | −0.807536 | + | 9.40197i | −0.102557 | + | 1.19405i | ||||
\(63\) | 6.46848 | + | 2.30795i | 0.814952 | + | 0.290774i | ||||
\(64\) | 0.993482 | + | 0.113991i | 0.124185 | + | 0.0142489i | ||||
\(65\) | 2.66094 | − | 3.07088i | 0.330049 | − | 0.380896i | ||||
\(66\) | −0.135234 | + | 1.77180i | −0.0166462 | + | 0.218094i | ||||
\(67\) | −0.910411 | − | 1.05067i | −0.111224 | − | 0.128360i | 0.697407 | − | 0.716675i | \(-0.254337\pi\) |
−0.808632 | + | 0.588315i | \(0.799791\pi\) | |||||||
\(68\) | 3.89137 | + | 5.69094i | 0.471897 | + | 0.690128i | ||||
\(69\) | 0.765861 | + | 0.993186i | 0.0921988 | + | 0.119566i | ||||
\(70\) | 3.19613 | + | 1.80493i | 0.382010 | + | 0.215731i | ||||
\(71\) | −5.41572 | − | 4.97050i | −0.642727 | − | 0.589890i | 0.287093 | − | 0.957903i | \(-0.407311\pi\) |
−0.929821 | + | 0.368013i | \(0.880038\pi\) | |||||||
\(72\) | −0.689681 | − | 2.62382i | −0.0812797 | − | 0.309220i | ||||
\(73\) | 0.736846 | − | 0.262906i | 0.0862413 | − | 0.0307708i | −0.292576 | − | 0.956242i | \(-0.594513\pi\) |
0.378818 | + | 0.925471i | \(0.376331\pi\) | |||||||
\(74\) | 10.5813 | − | 2.46058i | 1.23005 | − | 0.286036i | ||||
\(75\) | 1.14378 | − | 1.04976i | 0.132073 | − | 0.121215i | ||||
\(76\) | −1.32425 | − | 0.851044i | −0.151902 | − | 0.0976215i | ||||
\(77\) | −3.56028 | − | 7.60388i | −0.405731 | − | 0.866543i | ||||
\(78\) | −1.26311 | + | 0.811754i | −0.143019 | + | 0.0919130i | ||||
\(79\) | 2.64997 | − | 10.0815i | 0.298145 | − | 1.13426i | −0.634340 | − | 0.773054i | \(-0.718728\pi\) |
0.932485 | − | 0.361208i | \(-0.117636\pi\) | |||||||
\(80\) | −0.124079 | − | 1.44462i | −0.0138724 | − | 0.161514i | ||||
\(81\) | −5.25774 | + | 3.81997i | −0.584194 | + | 0.424441i | ||||
\(82\) | −7.46442 | − | 3.67001i | −0.824307 | − | 0.405284i | ||||
\(83\) | −0.411787 | + | 14.4144i | −0.0451995 | + | 1.58219i | 0.588427 | + | 0.808551i | \(0.299748\pi\) |
−0.633626 | + | 0.773639i | \(0.718434\pi\) | |||||||
\(84\) | −0.945271 | − | 0.972660i | −0.103137 | − | 0.106126i | ||||
\(85\) | 6.96669 | − | 7.16855i | 0.755643 | − | 0.777539i | ||||
\(86\) | 0.0883448 | + | 3.09247i | 0.00952646 | + | 0.333470i | ||||
\(87\) | 0.609864 | − | 1.33542i | 0.0653843 | − | 0.143172i | ||||
\(88\) | −1.68563 | + | 2.85633i | −0.179689 | + | 0.304486i | ||||
\(89\) | −6.58896 | − | 14.4278i | −0.698428 | − | 1.52934i | −0.841867 | − | 0.539686i | \(-0.818543\pi\) |
0.143438 | − | 0.989659i | \(-0.454184\pi\) | |||||||
\(90\) | −3.53002 | + | 1.73559i | −0.372097 | + | 0.182948i | ||||
\(91\) | 3.31073 | − | 6.27453i | 0.347059 | − | 0.657750i | ||||
\(92\) | 0.464876 | + | 2.29425i | 0.0484666 | + | 0.239192i | ||||
\(93\) | −4.98182 | − | 0.862137i | −0.516590 | − | 0.0893995i | ||||
\(94\) | −2.65902 | + | 8.18363i | −0.274257 | + | 0.844077i | ||||
\(95\) | −0.828077 | + | 2.12690i | −0.0849589 | + | 0.218215i | ||||
\(96\) | −0.106399 | + | 0.525102i | −0.0108593 | + | 0.0535930i | ||||
\(97\) | −0.760869 | − | 0.622160i | −0.0772546 | − | 0.0631707i | 0.593597 | − | 0.804763i | \(-0.297707\pi\) |
−0.670851 | + | 0.741592i | \(0.734071\pi\) | |||||||
\(98\) | −0.567445 | − | 0.166617i | −0.0573206 | − | 0.0168309i | ||||
\(99\) | 8.88022 | + | 1.45002i | 0.892496 | + | 0.145732i | ||||
\(100\) | 2.78029 | − | 0.816367i | 0.278029 | − | 0.0816367i | ||||
\(101\) | −6.38960 | − | 2.70027i | −0.635789 | − | 0.268687i | 0.0474589 | − | 0.998873i | \(-0.484888\pi\) |
−0.683248 | + | 0.730187i | \(0.739433\pi\) | |||||||
\(102\) | −3.21628 | + | 1.81632i | −0.318459 | + | 0.179842i | ||||
\(103\) | −8.75140 | − | 2.03505i | −0.862301 | − | 0.200520i | −0.228053 | − | 0.973649i | \(-0.573236\pi\) |
−0.634249 | + | 0.773129i | \(0.718690\pi\) | |||||||
\(104\) | −2.78416 | + | 0.319453i | −0.273010 | + | 0.0313249i | ||||
\(105\) | −1.11003 | + | 1.62336i | −0.108327 | + | 0.158424i | ||||
\(106\) | −5.42488 | + | 0.310206i | −0.526911 | + | 0.0301299i | ||||
\(107\) | 5.37131 | + | 13.7961i | 0.519264 | + | 1.33372i | 0.910531 | + | 0.413441i | \(0.135673\pi\) |
−0.391267 | + | 0.920277i | \(0.627963\pi\) | |||||||
\(108\) | 3.01601 | − | 0.521942i | 0.290216 | − | 0.0502238i | ||||
\(109\) | 0.959979 | − | 6.67680i | 0.0919493 | − | 0.639522i | −0.890775 | − | 0.454445i | \(-0.849838\pi\) |
0.982724 | − | 0.185077i | \(-0.0592533\pi\) | |||||||
\(110\) | 4.54440 | + | 1.57292i | 0.433291 | + | 0.149972i | ||||
\(111\) | 0.828334 | + | 5.76119i | 0.0786220 | + | 0.546828i | ||||
\(112\) | −0.782283 | − | 2.40762i | −0.0739188 | − | 0.227499i | ||||
\(113\) | −16.9304 | − | 0.968114i | −1.59268 | − | 0.0910725i | −0.761906 | − | 0.647688i | \(-0.775736\pi\) |
−0.830771 | + | 0.556615i | \(0.812100\pi\) | |||||||
\(114\) | 0.515009 | − | 0.667876i | 0.0482350 | − | 0.0625523i | ||||
\(115\) | 3.12642 | − | 1.32124i | 0.291540 | − | 0.123206i | ||||
\(116\) | 2.12124 | − | 1.73453i | 0.196953 | − | 0.161047i | ||||
\(117\) | 3.54800 | + | 6.72421i | 0.328013 | + | 0.621653i | ||||
\(118\) | −8.82552 | − | 6.41212i | −0.812455 | − | 0.590283i | ||||
\(119\) | 9.01255 | − | 14.9456i | 0.826179 | − | 1.37006i | ||||
\(120\) | 0.776840 | 0.0709154 | ||||||||
\(121\) | −6.38030 | − | 8.96057i | −0.580027 | − | 0.814597i | ||||
\(122\) | −6.42475 | −0.581669 | ||||||||
\(123\) | 2.30131 | − | 3.81630i | 0.207502 | − | 0.344104i | ||||
\(124\) | −7.63436 | − | 5.54668i | −0.685585 | − | 0.498107i | ||||
\(125\) | −5.34388 | − | 10.1278i | −0.477971 | − | 0.905857i | ||||
\(126\) | −5.31671 | + | 4.34746i | −0.473651 | + | 0.387302i | ||||
\(127\) | −13.3958 | + | 5.66111i | −1.18868 | + | 0.502342i | −0.891738 | − | 0.452552i | \(-0.850514\pi\) |
−0.296946 | + | 0.954894i | \(0.595968\pi\) | |||||||
\(128\) | −0.610648 | + | 0.791902i | −0.0539742 | + | 0.0699949i | ||||
\(129\) | −1.65483 | − | 0.0946268i | −0.145700 | − | 0.00833143i | ||||
\(130\) | 1.25565 | + | 3.86449i | 0.110128 | + | 0.338938i | ||||
\(131\) | 0.0289078 | + | 0.201058i | 0.00252569 | + | 0.0175666i | 0.991045 | − | 0.133526i | \(-0.0426300\pi\) |
−0.988520 | + | 0.151093i | \(0.951721\pi\) | |||||||
\(132\) | −1.44745 | − | 1.03076i | −0.125984 | − | 0.0897164i | ||||
\(133\) | −0.567120 | + | 3.94441i | −0.0491756 | + | 0.342023i | ||||
\(134\) | 1.36987 | − | 0.237066i | 0.118339 | − | 0.0204794i | ||||
\(135\) | −1.61016 | − | 4.13565i | −0.138580 | − | 0.355940i | ||||
\(136\) | −6.88292 | + | 0.393580i | −0.590206 | + | 0.0337492i | ||||
\(137\) | 3.80967 | − | 5.57146i | 0.325482 | − | 0.476002i | −0.627676 | − | 0.778475i | \(-0.715994\pi\) |
0.953158 | + | 0.302472i | \(0.0978120\pi\) | |||||||
\(138\) | −1.24600 | + | 0.142966i | −0.106067 | + | 0.0121700i | ||||
\(139\) | 11.4555 | + | 2.66387i | 0.971646 | + | 0.225947i | 0.682133 | − | 0.731228i | \(-0.261052\pi\) |
0.289512 | + | 0.957174i | \(0.406507\pi\) | |||||||
\(140\) | −3.19613 | + | 1.80493i | −0.270122 | + | 0.152545i | ||||
\(141\) | −4.24657 | − | 1.79462i | −0.357626 | − | 0.151134i | ||||
\(142\) | 7.05315 | − | 2.07099i | 0.591887 | − | 0.173794i | ||||
\(143\) | 2.78807 | − | 8.86659i | 0.233150 | − | 0.741462i | ||||
\(144\) | 2.60305 | + | 0.764326i | 0.216921 | + | 0.0636938i | ||||
\(145\) | −3.07568 | − | 2.51497i | −0.255421 | − | 0.208857i | ||||
\(146\) | −0.155366 | + | 0.766762i | −0.0128582 | + | 0.0634576i | ||||
\(147\) | 0.114958 | − | 0.295267i | 0.00948158 | − | 0.0243532i | ||||
\(148\) | −3.35705 | + | 10.3319i | −0.275947 | + | 0.849279i | ||||
\(149\) | 1.18602 | + | 0.205248i | 0.0971622 | + | 0.0168146i | 0.218896 | − | 0.975748i | \(-0.429754\pi\) |
−0.121734 | + | 0.992563i | \(0.538845\pi\) | |||||||
\(150\) | 0.308310 | + | 1.52157i | 0.0251734 | + | 0.124236i | ||||
\(151\) | −4.11992 | + | 7.80811i | −0.335274 | + | 0.635415i | −0.993036 | − | 0.117811i | \(-0.962412\pi\) |
0.657762 | + | 0.753226i | \(0.271503\pi\) | |||||||
\(152\) | 1.41263 | − | 0.694544i | 0.114579 | − | 0.0563349i | ||||
\(153\) | 7.76972 | + | 17.0133i | 0.628145 | + | 1.37544i | ||||
\(154\) | 8.35009 | + | 0.877784i | 0.672870 | + | 0.0707339i | ||||
\(155\) | −5.68392 | + | 12.4460i | −0.456543 | + | 0.999690i | ||||
\(156\) | −0.0428759 | − | 1.50085i | −0.00343282 | − | 0.120164i | ||||
\(157\) | −3.56027 | + | 3.66343i | −0.284140 | + | 0.292373i | −0.844144 | − | 0.536117i | \(-0.819891\pi\) |
0.560004 | + | 0.828490i | \(0.310800\pi\) | |||||||
\(158\) | 7.26488 | + | 7.47539i | 0.577963 | + | 0.594710i | ||||
\(159\) | 0.0831339 | − | 2.91007i | 0.00659294 | − | 0.230783i | ||||
\(160\) | 1.30118 | + | 0.639745i | 0.102867 | + | 0.0505763i | ||||
\(161\) | 4.79422 | − | 3.48320i | 0.377837 | − | 0.274515i | ||||
\(162\) | −0.556146 | − | 6.47509i | −0.0436949 | − | 0.508731i | ||||
\(163\) | −2.22163 | + | 8.45195i | −0.174011 | + | 0.662008i | 0.821735 | + | 0.569870i | \(0.193006\pi\) |
−0.995746 | + | 0.0921378i | \(0.970630\pi\) | |||||||
\(164\) | 6.99741 | − | 4.49696i | 0.546406 | − | 0.351154i | ||||
\(165\) | −1.04799 | + | 2.35372i | −0.0815862 | + | 0.183237i | ||||
\(166\) | −12.1311 | − | 7.79621i | −0.941559 | − | 0.605103i | ||||
\(167\) | −11.0141 | + | 10.1087i | −0.852299 | + | 0.782233i | −0.977729 | − | 0.209870i | \(-0.932696\pi\) |
0.125431 | + | 0.992102i | \(0.459969\pi\) | |||||||
\(168\) | 1.32107 | − | 0.307202i | 0.101923 | − | 0.0237012i | ||||
\(169\) | −4.84709 | + | 1.72944i | −0.372853 | + | 0.133034i | ||||
\(170\) | 2.54120 | + | 9.66774i | 0.194901 | + | 0.741482i | ||||
\(171\) | −3.14630 | − | 2.88764i | −0.240603 | − | 0.220824i | ||||
\(172\) | −2.69385 | − | 1.52129i | −0.205405 | − | 0.115997i | ||||
\(173\) | −1.65438 | − | 2.14544i | −0.125780 | − | 0.163115i | 0.724801 | − | 0.688958i | \(-0.241932\pi\) |
−0.850581 | + | 0.525844i | \(0.823750\pi\) | |||||||
\(174\) | 0.828650 | + | 1.21186i | 0.0628198 | + | 0.0918710i | ||||
\(175\) | −4.80374 | − | 5.54381i | −0.363128 | − | 0.419072i | ||||
\(176\) | −1.57556 | − | 2.91849i | −0.118762 | − | 0.219990i | ||||
\(177\) | 3.82747 | − | 4.41714i | 0.287691 | − | 0.332013i | ||||
\(178\) | 15.7578 | + | 1.80804i | 1.18109 | + | 0.135518i | ||||
\(179\) | −6.73731 | − | 2.40387i | −0.503570 | − | 0.179673i | 0.0720338 | − | 0.997402i | \(-0.477051\pi\) |
−0.575604 | + | 0.817729i | \(0.695233\pi\) | |||||||
\(180\) | 0.336619 | − | 3.91919i | 0.0250901 | − | 0.292119i | ||||
\(181\) | 12.8832 | + | 21.3644i | 0.957602 | + | 1.58801i | 0.799571 | + | 0.600571i | \(0.205060\pi\) |
0.158031 | + | 0.987434i | \(0.449485\pi\) | |||||||
\(182\) | 3.66354 | + | 6.07529i | 0.271559 | + | 0.450331i | ||||
\(183\) | 0.294567 | − | 3.42958i | 0.0217750 | − | 0.253522i | ||||
\(184\) | −2.20474 | − | 0.786650i | −0.162536 | − | 0.0579926i | ||||
\(185\) | 15.6490 | + | 1.79555i | 1.15053 | + | 0.132012i | ||||
\(186\) | 3.31089 | − | 3.82097i | 0.242766 | − | 0.280167i | ||||
\(187\) | 8.09290 | − | 21.3853i | 0.591812 | − | 1.56385i | ||||
\(188\) | −5.63493 | − | 6.50306i | −0.410970 | − | 0.474284i | ||||
\(189\) | −4.37364 | − | 6.39624i | −0.318135 | − | 0.465258i | ||||
\(190\) | −1.39375 | − | 1.80745i | −0.101113 | − | 0.131126i | ||||
\(191\) | 5.73970 | + | 3.24136i | 0.415310 | + | 0.234536i | 0.685200 | − | 0.728355i | \(-0.259715\pi\) |
−0.269890 | + | 0.962891i | \(0.586987\pi\) | |||||||
\(192\) | −0.394726 | − | 0.362276i | −0.0284869 | − | 0.0261450i | ||||
\(193\) | 0.514335 | + | 1.95674i | 0.0370227 | + | 0.140849i | 0.983091 | − | 0.183119i | \(-0.0586194\pi\) |
−0.946068 | + | 0.323968i | \(0.894983\pi\) | |||||||
\(194\) | 0.925697 | − | 0.330288i | 0.0664611 | − | 0.0237133i | ||||
\(195\) | −2.12046 | + | 0.493092i | −0.151849 | + | 0.0353111i | ||||
\(196\) | 0.435709 | − | 0.399891i | 0.0311221 | − | 0.0285636i | ||||
\(197\) | 16.5596 | + | 10.6422i | 1.17982 | + | 0.758226i | 0.975354 | − | 0.220647i | \(-0.0708168\pi\) |
0.204469 | + | 0.978873i | \(0.434453\pi\) | |||||||
\(198\) | −5.82745 | + | 6.85578i | −0.414139 | + | 0.487219i | ||||
\(199\) | 15.9933 | − | 10.2783i | 1.13373 | − | 0.728606i | 0.167397 | − | 0.985890i | \(-0.446464\pi\) |
0.966336 | + | 0.257283i | \(0.0828274\pi\) | |||||||
\(200\) | −0.736640 | + | 2.80247i | −0.0520883 | + | 0.198165i | ||||
\(201\) | 0.0637406 | + | 0.742118i | 0.00449591 | + | 0.0523450i | ||||
\(202\) | 5.61194 | − | 4.07732i | 0.394855 | − | 0.286879i | ||||
\(203\) | −6.22497 | − | 3.06061i | −0.436907 | − | 0.214813i | ||||
\(204\) | 0.105478 | − | 3.69220i | 0.00738492 | − | 0.258506i | ||||
\(205\) | −8.40534 | − | 8.64889i | −0.587054 | − | 0.604064i | ||||
\(206\) | 6.26192 | − | 6.44336i | 0.436288 | − | 0.448930i | ||||
\(207\) | 0.181350 | + | 6.34808i | 0.0126047 | + | 0.441222i | ||||
\(208\) | 1.16417 | − | 2.54918i | 0.0807208 | − | 0.176754i | ||||
\(209\) | 0.198666 | + | 5.21705i | 0.0137420 | + | 0.360871i | ||||
\(210\) | −0.816949 | − | 1.78887i | −0.0563749 | − | 0.123444i | ||||
\(211\) | −1.86839 | + | 0.918626i | −0.128625 | + | 0.0632408i | −0.504399 | − | 0.863471i | \(-0.668286\pi\) |
0.375774 | + | 0.926711i | \(0.377377\pi\) | |||||||
\(212\) | 2.53575 | − | 4.80578i | 0.174156 | − | 0.330062i | ||||
\(213\) | 0.782132 | + | 3.85997i | 0.0535908 | + | 0.264481i | ||||
\(214\) | −14.5880 | − | 2.52455i | −0.997215 | − | 0.172575i | ||||
\(215\) | −1.38617 | + | 4.26619i | −0.0945358 | + | 0.290951i | ||||
\(216\) | −1.11050 | + | 2.85229i | −0.0755598 | + | 0.194074i | ||||
\(217\) | −4.74411 | + | 23.4131i | −0.322051 | + | 1.58939i | ||||
\(218\) | 5.22194 | + | 4.26996i | 0.353675 | + | 0.289198i | ||||
\(219\) | −0.402180 | − | 0.118091i | −0.0271768 | − | 0.00797983i | ||||
\(220\) | −3.69369 | + | 3.07934i | −0.249028 | + | 0.207609i | ||||
\(221\) | 18.5378 | − | 5.44319i | 1.24699 | − | 0.366149i | ||||
\(222\) | −5.36134 | − | 2.26572i | −0.359830 | − | 0.152065i | ||||
\(223\) | 4.00593 | − | 2.26225i | 0.268257 | − | 0.151492i | −0.351736 | − | 0.936099i | \(-0.614408\pi\) |
0.619992 | + | 0.784608i | \(0.287136\pi\) | |||||||
\(224\) | 2.46573 | + | 0.573381i | 0.164749 | + | 0.0383107i | ||||
\(225\) | 7.80998 | − | 0.896112i | 0.520665 | − | 0.0597408i | ||||
\(226\) | 9.57185 | − | 13.9984i | 0.636710 | − | 0.931159i | ||||
\(227\) | 7.63876 | − | 0.436800i | 0.507002 | − | 0.0289914i | 0.198283 | − | 0.980145i | \(-0.436463\pi\) |
0.308719 | + | 0.951153i | \(0.400100\pi\) | |||||||
\(228\) | 0.305985 | + | 0.785917i | 0.0202644 | + | 0.0520486i | ||||
\(229\) | −23.5724 | + | 4.07936i | −1.55771 | + | 0.269571i | −0.883306 | − | 0.468796i | \(-0.844688\pi\) |
−0.674399 | + | 0.738367i | \(0.735597\pi\) | |||||||
\(230\) | −0.483036 | + | 3.35959i | −0.0318504 | + | 0.221525i | ||||
\(231\) | −0.851409 | + | 4.41710i | −0.0560186 | + | 0.290624i | ||||
\(232\) | 0.389960 | + | 2.71223i | 0.0256022 | + | 0.178067i | ||||
\(233\) | −1.42371 | − | 4.38174i | −0.0932707 | − | 0.287058i | 0.893528 | − | 0.449007i | \(-0.148222\pi\) |
−0.986799 | + | 0.161949i | \(0.948222\pi\) | |||||||
\(234\) | −7.59045 | − | 0.434038i | −0.496203 | − | 0.0283739i | ||||
\(235\) | −7.61871 | + | 9.88012i | −0.496990 | + | 0.644508i | ||||
\(236\) | 10.0485 | − | 4.24653i | 0.654101 | − | 0.276425i | ||||
\(237\) | −4.32350 | + | 3.53531i | −0.280842 | + | 0.229643i | ||||
\(238\) | 8.14462 | + | 15.4358i | 0.527937 | + | 1.00055i | ||||
\(239\) | −6.53634 | − | 4.74893i | −0.422801 | − | 0.307183i | 0.355963 | − | 0.934500i | \(-0.384153\pi\) |
−0.778764 | + | 0.627317i | \(0.784153\pi\) | |||||||
\(240\) | −0.401158 | + | 0.665246i | −0.0258946 | + | 0.0429414i | ||||
\(241\) | 8.14665 | 0.524772 | 0.262386 | − | 0.964963i | \(-0.415491\pi\) | ||||
0.262386 | + | 0.964963i | \(0.415491\pi\) | |||||||
\(242\) | 10.9681 | − | 0.836548i | 0.705059 | − | 0.0537754i | ||||
\(243\) | 12.6645 | 0.812426 | ||||||||
\(244\) | 3.31772 | − | 5.50183i | 0.212395 | − | 0.352218i | ||||
\(245\) | −0.693730 | − | 0.504024i | −0.0443208 | − | 0.0322009i | ||||
\(246\) | 2.07969 | + | 3.94145i | 0.132596 | + | 0.251298i | ||||
\(247\) | −3.41506 | + | 2.79248i | −0.217295 | + | 0.177681i | ||||
\(248\) | 8.69226 | − | 3.67338i | 0.551959 | − | 0.233260i | ||||
\(249\) | 4.71788 | − | 6.11825i | 0.298983 | − | 0.387728i | ||||
\(250\) | 11.4325 | + | 0.653733i | 0.723054 | + | 0.0413457i | ||||
\(251\) | 2.63085 | + | 8.09693i | 0.166058 | + | 0.511074i | 0.999113 | − | 0.0421168i | \(-0.0134102\pi\) |
−0.833055 | + | 0.553191i | \(0.813410\pi\) | |||||||
\(252\) | −0.977402 | − | 6.79798i | −0.0615705 | − | 0.428232i | ||||
\(253\) | 5.35774 | − | 5.61883i | 0.336838 | − | 0.353253i | ||||
\(254\) | 2.06967 | − | 14.3949i | 0.129862 | − | 0.903213i | ||||
\(255\) | −5.27722 | + | 0.913259i | −0.330473 | + | 0.0571905i | ||||
\(256\) | −0.362808 | − | 0.931864i | −0.0226755 | − | 0.0582415i | ||||
\(257\) | 0.745869 | − | 0.0426503i | 0.0465260 | − | 0.00266045i | −0.0338103 | − | 0.999428i | \(-0.510764\pi\) |
0.0803363 | + | 0.996768i | \(0.474401\pi\) | |||||||
\(258\) | 0.935586 | − | 1.36825i | 0.0582470 | − | 0.0851836i | ||||
\(259\) | 27.3222 | − | 3.13493i | 1.69772 | − | 0.194795i | ||||
\(260\) | −3.95776 | − | 0.920339i | −0.245450 | − | 0.0570770i | ||||
\(261\) | 6.47296 | − | 3.65545i | 0.400666 | − | 0.226267i | ||||
\(262\) | −0.187104 | − | 0.0790709i | −0.0115593 | − | 0.00488501i | ||||
\(263\) | −5.67478 | + | 1.66627i | −0.349922 | + | 0.102746i | −0.451970 | − | 0.892033i | \(-0.649279\pi\) |
0.102048 | + | 0.994779i | \(0.467460\pi\) | |||||||
\(264\) | 1.63015 | − | 0.707237i | 0.100329 | − | 0.0435275i | ||||
\(265\) | −7.55948 | − | 2.21966i | −0.464375 | − | 0.136353i | ||||
\(266\) | −3.08493 | − | 2.52253i | −0.189149 | − | 0.154667i | ||||
\(267\) | −1.68762 | + | 8.32872i | −0.103280 | + | 0.509709i | ||||
\(268\) | −0.504388 | + | 1.29551i | −0.0308104 | + | 0.0791359i | ||||
\(269\) | −2.48229 | + | 7.63970i | −0.151348 | + | 0.465800i | −0.997773 | − | 0.0667078i | \(-0.978750\pi\) |
0.846425 | + | 0.532508i | \(0.178750\pi\) | |||||||
\(270\) | 4.37304 | + | 0.756785i | 0.266135 | + | 0.0460565i | ||||
\(271\) | 2.35013 | + | 11.5983i | 0.142760 | + | 0.704549i | 0.985964 | + | 0.166956i | \(0.0533936\pi\) |
−0.843204 | + | 0.537593i | \(0.819334\pi\) | |||||||
\(272\) | 3.21728 | − | 6.09743i | 0.195076 | − | 0.369711i | ||||
\(273\) | −3.41101 | + | 1.67708i | −0.206443 | + | 0.101501i | ||||
\(274\) | 2.80381 | + | 6.13950i | 0.169385 | + | 0.370901i | ||||
\(275\) | −7.49734 | − | 6.01259i | −0.452106 | − | 0.362573i | ||||
\(276\) | 0.521004 | − | 1.14084i | 0.0313608 | − | 0.0686705i | ||||
\(277\) | 0.141706 | + | 4.96035i | 0.00851428 | + | 0.298039i | 0.992679 | + | 0.120782i | \(0.0385404\pi\) |
−0.984165 | + | 0.177256i | \(0.943278\pi\) | |||||||
\(278\) | −8.19681 | + | 8.43432i | −0.491612 | + | 0.505857i | ||||
\(279\) | −17.8423 | − | 18.3593i | −1.06819 | − | 1.09914i | ||||
\(280\) | 0.104817 | − | 3.66906i | 0.00626399 | − | 0.219268i | ||||
\(281\) | −26.8682 | − | 13.2102i | −1.60282 | − | 0.788054i | −0.602869 | − | 0.797841i | \(-0.705976\pi\) |
−0.999952 | + | 0.00978671i | \(0.996885\pi\) | |||||||
\(282\) | 3.72974 | − | 2.70981i | 0.222103 | − | 0.161367i | ||||
\(283\) | −1.09710 | − | 12.7733i | −0.0652160 | − | 0.759296i | −0.953773 | − | 0.300529i | \(-0.902837\pi\) |
0.888557 | − | 0.458767i | \(-0.151709\pi\) | |||||||
\(284\) | −1.86874 | + | 7.10941i | −0.110889 | + | 0.421866i | ||||
\(285\) | 1.02873 | − | 0.661125i | 0.0609367 | − | 0.0391617i | ||||
\(286\) | 6.15314 | + | 6.96625i | 0.363843 | + | 0.411923i | ||||
\(287\) | −17.7141 | − | 11.3842i | −1.04563 | − | 0.671986i | ||||
\(288\) | −1.99874 | + | 1.83443i | −0.117777 | + | 0.108095i | ||||
\(289\) | 29.7361 | − | 6.91484i | 1.74918 | − | 0.406755i | ||||
\(290\) | 3.74197 | − | 1.33513i | 0.219736 | − | 0.0784016i | ||||
\(291\) | 0.133868 | + | 0.509287i | 0.00784749 | + | 0.0298549i | ||||
\(292\) | −0.576385 | − | 0.529001i | −0.0337304 | − | 0.0309575i | ||||
\(293\) | −5.52805 | − | 3.12183i | −0.322952 | − | 0.182379i | 0.321728 | − | 0.946832i | \(-0.395736\pi\) |
−0.644680 | + | 0.764453i | \(0.723009\pi\) | |||||||
\(294\) | 0.193488 | + | 0.250919i | 0.0112844 | + | 0.0146339i | ||||
\(295\) | −8.92799 | − | 13.0568i | −0.519808 | − | 0.760194i | ||||
\(296\) | −7.11416 | − | 8.21018i | −0.413502 | − | 0.477207i | ||||
\(297\) | −7.14393 | − | 7.21253i | −0.414533 | − | 0.418513i | ||||
\(298\) | −0.788219 | + | 0.909654i | −0.0456603 | + | 0.0526948i | ||||
\(299\) | 6.51738 | + | 0.747800i | 0.376910 | + | 0.0432464i | ||||
\(300\) | −1.46221 | − | 0.521714i | −0.0844205 | − | 0.0301212i | ||||
\(301\) | −0.670210 | + | 7.80312i | −0.0386303 | + | 0.449764i | ||||
\(302\) | −4.55895 | − | 7.56017i | −0.262338 | − | 0.435039i | ||||
\(303\) | 1.91920 | + | 3.18264i | 0.110255 | + | 0.182838i | ||||
\(304\) | −0.134707 | + | 1.56837i | −0.00772598 | + | 0.0899519i | ||||
\(305\) | −8.77376 | − | 3.13047i | −0.502384 | − | 0.179250i | ||||
\(306\) | −18.5816 | − | 2.13204i | −1.06224 | − | 0.121881i | ||||
\(307\) | −10.6173 | + | 12.2530i | −0.605963 | + | 0.699318i | −0.972978 | − | 0.230897i | \(-0.925834\pi\) |
0.367016 | + | 0.930215i | \(0.380380\pi\) | |||||||
\(308\) | −5.06366 | + | 6.69731i | −0.288529 | + | 0.381615i | ||||
\(309\) | 3.15241 | + | 3.63808i | 0.179335 | + | 0.206963i | ||||
\(310\) | −7.72300 | − | 11.2945i | −0.438637 | − | 0.641486i | ||||
\(311\) | 8.12161 | + | 10.5323i | 0.460534 | + | 0.597231i | 0.963710 | − | 0.266953i | \(-0.0860168\pi\) |
−0.503175 | + | 0.864184i | \(0.667835\pi\) | |||||||
\(312\) | 1.30740 | + | 0.738320i | 0.0740167 | + | 0.0417992i | ||||
\(313\) | 18.1819 | + | 16.6872i | 1.02770 | + | 0.943214i | 0.998411 | − | 0.0563573i | \(-0.0179486\pi\) |
0.0292884 | + | 0.999571i | \(0.490676\pi\) | |||||||
\(314\) | −1.29866 | − | 4.94061i | −0.0732876 | − | 0.278815i | ||||
\(315\) | −9.37892 | + | 3.34639i | −0.528442 | + | 0.188548i | ||||
\(316\) | −10.1531 | + | 2.36100i | −0.571157 | + | 0.132817i | ||||
\(317\) | 21.4873 | − | 19.7209i | 1.20685 | − | 1.10764i | 0.215484 | − | 0.976507i | \(-0.430867\pi\) |
0.991365 | − | 0.131129i | \(-0.0418603\pi\) | |||||||
\(318\) | 2.44910 | + | 1.57394i | 0.137339 | + | 0.0882623i | ||||
\(319\) | −8.74377 | − | 2.47741i | −0.489557 | − | 0.138708i | ||||
\(320\) | −1.21977 | + | 0.783898i | −0.0681872 | + | 0.0438212i | ||||
\(321\) | 2.01647 | − | 7.67143i | 0.112548 | − | 0.428178i | ||||
\(322\) | 0.507116 | + | 5.90424i | 0.0282604 | + | 0.329030i | ||||
\(323\) | −8.77976 | + | 6.37887i | −0.488519 | + | 0.354930i | ||||
\(324\) | 5.83213 | + | 2.86746i | 0.324007 | + | 0.159304i | ||||
\(325\) | 0.231890 | − | 8.11720i | 0.0128629 | − | 0.450261i | ||||
\(326\) | −6.09057 | − | 6.26705i | −0.337326 | − | 0.347100i | ||||
\(327\) | −2.51876 | + | 2.59174i | −0.139288 | + | 0.143324i | ||||
\(328\) | 0.237525 | + | 8.31445i | 0.0131151 | + | 0.459089i | ||||
\(329\) | −9.04906 | + | 19.8147i | −0.498891 | + | 1.09242i | ||||
\(330\) | −1.47442 | − | 2.11290i | −0.0811643 | − | 0.116311i | ||||
\(331\) | 9.72311 | + | 21.2906i | 0.534431 | + | 1.17024i | 0.963681 | + | 0.267055i | \(0.0860504\pi\) |
−0.429251 | + | 0.903185i | \(0.641222\pi\) | |||||||
\(332\) | 12.9408 | − | 6.36255i | 0.710217 | − | 0.349190i | ||||
\(333\) | −13.7538 | + | 26.0664i | −0.753705 | + | 1.42843i | ||||
\(334\) | −2.96889 | − | 14.6520i | −0.162450 | − | 0.801724i | ||||
\(335\) | 1.98624 | + | 0.343732i | 0.108520 | + | 0.0187801i | ||||
\(336\) | −0.419126 | + | 1.28994i | −0.0228652 | + | 0.0703718i | ||||
\(337\) | 10.4814 | − | 26.9212i | 0.570957 | − | 1.46649i | −0.289606 | − | 0.957146i | \(-0.593524\pi\) |
0.860563 | − | 0.509344i | \(-0.170112\pi\) | |||||||
\(338\) | 1.02202 | − | 5.04388i | 0.0555907 | − | 0.274351i | ||||
\(339\) | 7.03359 | + | 5.75134i | 0.382012 | + | 0.312370i | ||||
\(340\) | −9.59123 | − | 2.81624i | −0.520157 | − | 0.152732i | ||||
\(341\) | −0.596440 | + | 31.2919i | −0.0322990 | + | 1.69455i | ||||
\(342\) | 4.09757 | − | 1.20316i | 0.221571 | − | 0.0650592i | ||||
\(343\) | −17.7020 | − | 7.48091i | −0.955816 | − | 0.403931i | ||||
\(344\) | 2.69385 | − | 1.52129i | 0.145243 | − | 0.0820224i | ||||
\(345\) | −1.77123 | − | 0.411881i | −0.0953596 | − | 0.0221749i | ||||
\(346\) | 2.69156 | − | 0.308828i | 0.144699 | − | 0.0166027i | ||||
\(347\) | −11.2062 | + | 16.3886i | −0.601582 | + | 0.879786i | −0.999288 | − | 0.0377269i | \(-0.987988\pi\) |
0.397706 | + | 0.917513i | \(0.369806\pi\) | |||||||
\(348\) | −1.46569 | + | 0.0838112i | −0.0785692 | + | 0.00449275i | ||||
\(349\) | 1.54943 | + | 3.97969i | 0.0829393 | + | 0.213028i | 0.967226 | − | 0.253916i | \(-0.0817187\pi\) |
−0.884287 | + | 0.466944i | \(0.845355\pi\) | |||||||
\(350\) | 7.22807 | − | 1.25087i | 0.386357 | − | 0.0668616i | ||||
\(351\) | 1.22075 | − | 8.49049i | 0.0651587 | − | 0.453189i | ||||
\(352\) | 3.31287 | + | 0.157872i | 0.176576 | + | 0.00841459i | ||||
\(353\) | −0.438610 | − | 3.05060i | −0.0233448 | − | 0.162367i | 0.974814 | − | 0.223019i | \(-0.0715911\pi\) |
−0.998159 | + | 0.0606519i | \(0.980682\pi\) | |||||||
\(354\) | 1.80612 | + | 5.55865i | 0.0959940 | + | 0.295439i | ||||
\(355\) | 10.6410 | + | 0.608475i | 0.564766 | + | 0.0322945i | ||||
\(356\) | −9.68558 | + | 12.5605i | −0.513335 | + | 0.665704i | ||||
\(357\) | −8.61315 | + | 3.63995i | −0.455856 | + | 0.192646i | ||||
\(358\) | 5.53768 | − | 4.52814i | 0.292675 | − | 0.239319i | ||||
\(359\) | −15.5752 | − | 29.5183i | −0.822028 | − | 1.55792i | −0.829876 | − | 0.557947i | \(-0.811589\pi\) |
0.00784829 | − | 0.999969i | \(-0.497502\pi\) | |||||||
\(360\) | 3.18236 | + | 2.31212i | 0.167725 | + | 0.121860i | ||||
\(361\) | −8.53196 | + | 14.1487i | −0.449051 | + | 0.744667i | ||||
\(362\) | −24.9483 | −1.31125 | ||||||||
\(363\) | −0.0563200 | + | 5.89323i | −0.00295604 | + | 0.309314i | ||||
\(364\) | −7.09441 | −0.371848 | ||||||||
\(365\) | −0.585777 | + | 0.971403i | −0.0306610 | + | 0.0508455i | ||||
\(366\) | 2.78480 | + | 2.02328i | 0.145564 | + | 0.105758i | ||||
\(367\) | 4.65960 | + | 8.83093i | 0.243229 | + | 0.460971i | 0.975487 | − | 0.220057i | \(-0.0706243\pi\) |
−0.732258 | + | 0.681028i | \(0.761533\pi\) | |||||||
\(368\) | 1.81217 | − | 1.48180i | 0.0944659 | − | 0.0772444i | ||||
\(369\) | 20.7859 | − | 8.78422i | 1.08207 | − | 0.457288i | ||||
\(370\) | −9.61870 | + | 12.4738i | −0.500052 | + | 0.648479i | ||||
\(371\) | −13.7332 | − | 0.785293i | −0.712992 | − | 0.0407704i | ||||
\(372\) | 1.56235 | + | 4.80841i | 0.0810040 | + | 0.249305i | ||||
\(373\) | −1.51078 | − | 10.5077i | −0.0782254 | − | 0.544070i | −0.990818 | − | 0.135200i | \(-0.956832\pi\) |
0.912593 | − | 0.408869i | \(-0.134077\pi\) | |||||||
\(374\) | 14.1341 | + | 17.9736i | 0.730857 | + | 0.929395i | ||||
\(375\) | −0.873133 | + | 6.07277i | −0.0450884 | + | 0.313597i | ||||
\(376\) | 8.47875 | − | 1.46731i | 0.437258 | − | 0.0756705i | ||||
\(377\) | −2.78600 | − | 7.15579i | −0.143486 | − | 0.368542i | ||||
\(378\) | 7.73595 | − | 0.442358i | 0.397894 | − | 0.0227524i | ||||
\(379\) | 0.971531 | − | 1.42082i | 0.0499042 | − | 0.0729826i | −0.799713 | − | 0.600383i | \(-0.795015\pi\) |
0.849617 | + | 0.527400i | \(0.176833\pi\) | |||||||
\(380\) | 2.26753 | − | 0.260175i | 0.116322 | − | 0.0133467i | ||||
\(381\) | 7.58919 | + | 1.76479i | 0.388806 | + | 0.0904129i | ||||
\(382\) | −5.73970 | + | 3.24136i | −0.293668 | + | 0.165842i | ||||
\(383\) | −6.18578 | − | 2.61413i | −0.316079 | − | 0.133576i | 0.225458 | − | 0.974253i | \(-0.427612\pi\) |
−0.541537 | + | 0.840677i | \(0.682157\pi\) | |||||||
\(384\) | 0.514070 | − | 0.150945i | 0.0262335 | − | 0.00770286i | ||||
\(385\) | 10.9754 | + | 5.26732i | 0.559356 | + | 0.268448i | ||||
\(386\) | −1.94125 | − | 0.570002i | −0.0988070 | − | 0.0290124i | ||||
\(387\) | −6.49747 | − | 5.31296i | −0.330285 | − | 0.270073i | ||||
\(388\) | −0.195186 | + | 0.963279i | −0.00990905 | + | 0.0489031i | ||||
\(389\) | 4.11997 | − | 10.5820i | 0.208891 | − | 0.536531i | −0.787969 | − | 0.615714i | \(-0.788868\pi\) |
0.996860 | + | 0.0791831i | \(0.0252312\pi\) | |||||||
\(390\) | 0.672742 | − | 2.07049i | 0.0340656 | − | 0.104843i | ||||
\(391\) | 15.9020 | + | 2.75195i | 0.804200 | + | 0.139172i | ||||
\(392\) | 0.117447 | + | 0.579622i | 0.00593195 | + | 0.0292753i | ||||
\(393\) | 0.0507871 | − | 0.0962523i | 0.00256187 | − | 0.00485529i | ||||
\(394\) | −17.6648 | + | 8.68519i | −0.889939 | + | 0.437554i | ||||
\(395\) | 6.27867 | + | 13.7484i | 0.315914 | + | 0.691756i | ||||
\(396\) | −2.86167 | − | 8.53064i | −0.143804 | − | 0.428681i | ||||
\(397\) | −6.36411 | + | 13.9354i | −0.319405 | + | 0.699400i | −0.999429 | − | 0.0337901i | \(-0.989242\pi\) |
0.680024 | + | 0.733190i | \(0.261969\pi\) | |||||||
\(398\) | 0.542886 | + | 19.0035i | 0.0272124 | + | 0.952559i | ||||
\(399\) | 1.48799 | − | 1.53110i | 0.0744926 | − | 0.0766511i | ||||
\(400\) | −2.01949 | − | 2.07801i | −0.100975 | − | 0.103900i | ||||
\(401\) | 0.912251 | − | 31.9329i | 0.0455556 | − | 1.59466i | −0.580093 | − | 0.814550i | \(-0.696984\pi\) |
0.625649 | − | 0.780105i | \(-0.284834\pi\) | |||||||
\(402\) | −0.668428 | − | 0.328644i | −0.0333381 | − | 0.0163913i | ||||
\(403\) | −21.3948 | + | 15.5442i | −1.06575 | + | 0.774312i | ||||
\(404\) | 0.593612 | + | 6.91130i | 0.0295333 | + | 0.343850i | ||||
\(405\) | 2.39552 | − | 9.11349i | 0.119034 | − | 0.452853i | ||||
\(406\) | 5.83551 | − | 3.75025i | 0.289611 | − | 0.186122i | ||||
\(407\) | 34.4731 | − | 10.4790i | 1.70877 | − | 0.519425i | ||||
\(408\) | 3.10734 | + | 1.99697i | 0.153836 | + | 0.0988647i | ||||
\(409\) | −15.5329 | + | 14.2559i | −0.768050 | + | 0.704910i | −0.961076 | − | 0.276284i | \(-0.910897\pi\) |
0.193026 | + | 0.981194i | \(0.438170\pi\) | |||||||
\(410\) | 11.7470 | − | 2.73164i | 0.580141 | − | 0.134906i | ||||
\(411\) | −3.40586 | + | 1.21521i | −0.167999 | + | 0.0599418i | ||||
\(412\) | 2.28413 | + | 8.68972i | 0.112531 | + | 0.428112i | ||||
\(413\) | −20.3460 | − | 18.6734i | −1.00116 | − | 0.918858i | ||||
\(414\) | −5.52982 | − | 3.12284i | −0.271776 | − | 0.153479i | ||||
\(415\) | −12.7678 | − | 16.5576i | −0.626747 | − | 0.812780i | ||||
\(416\) | 1.58181 | + | 2.31333i | 0.0775548 | + | 0.113420i | ||||
\(417\) | −4.12649 | − | 4.76222i | −0.202075 | − | 0.233207i | ||||
\(418\) | −4.57021 | − | 2.52394i | −0.223536 | − | 0.123450i | ||||
\(419\) | −1.66732 | + | 1.92419i | −0.0814541 | + | 0.0940031i | −0.795014 | − | 0.606592i | \(-0.792536\pi\) |
0.713560 | + | 0.700595i | \(0.247082\pi\) | |||||||
\(420\) | 1.95377 | + | 0.224174i | 0.0953341 | + | 0.0109386i | ||||
\(421\) | −19.1577 | − | 6.83544i | −0.933688 | − | 0.333139i | −0.174981 | − | 0.984572i | \(-0.555987\pi\) |
−0.758707 | + | 0.651433i | \(0.774168\pi\) | |||||||
\(422\) | 0.178168 | − | 2.07437i | 0.00867308 | − | 0.100979i | ||||
\(423\) | −12.0549 | − | 19.9909i | −0.586132 | − | 0.971990i | ||||
\(424\) | 2.80597 | + | 4.65318i | 0.136270 | + | 0.225978i | ||||
\(425\) | 1.70953 | − | 19.9037i | 0.0829245 | − | 0.965472i | ||||
\(426\) | −3.70938 | − | 1.32350i | −0.179720 | − | 0.0641239i | ||||
\(427\) | −16.1584 | − | 1.85400i | −0.781958 | − | 0.0897213i | ||||
\(428\) | 9.69510 | − | 11.1887i | 0.468630 | − | 0.540828i | ||||
\(429\) | −4.00075 | + | 2.96520i | −0.193158 | + | 0.143161i | ||||
\(430\) | −2.93753 | − | 3.39009i | −0.141660 | − | 0.163485i | ||||
\(431\) | −1.07041 | − | 1.56542i | −0.0515597 | − | 0.0754037i | 0.798831 | − | 0.601556i | \(-0.205452\pi\) |
−0.850390 | + | 0.526152i | \(0.823634\pi\) | |||||||
\(432\) | −1.86910 | − | 2.42389i | −0.0899270 | − | 0.116619i | ||||
\(433\) | 28.0100 | + | 15.8179i | 1.34607 | + | 0.760162i | 0.985029 | − | 0.172387i | \(-0.0551480\pi\) |
0.361043 | + | 0.932549i | \(0.382421\pi\) | |||||||
\(434\) | −17.5999 | − | 16.1531i | −0.844824 | − | 0.775373i | ||||
\(435\) | 0.541139 | + | 2.05870i | 0.0259456 | + | 0.0987073i | ||||
\(436\) | −6.35318 | + | 2.26681i | −0.304262 | + | 0.108560i | ||||
\(437\) | −3.58910 | + | 0.834610i | −0.171690 | + | 0.0399248i | ||||
\(438\) | 0.308811 | − | 0.283425i | 0.0147556 | − | 0.0135425i | ||||
\(439\) | −1.71359 | − | 1.10126i | −0.0817853 | − | 0.0525603i | 0.499109 | − | 0.866539i | \(-0.333661\pi\) |
−0.580894 | + | 0.813979i | \(0.697297\pi\) | |||||||
\(440\) | −0.729576 | − | 4.75325i | −0.0347812 | − | 0.226602i | ||||
\(441\) | 1.34974 | − | 0.867426i | 0.0642734 | − | 0.0413060i | ||||
\(442\) | −4.91161 | + | 18.6857i | −0.233621 | + | 0.888788i | ||||
\(443\) | −1.15712 | − | 13.4721i | −0.0549764 | − | 0.640079i | −0.971020 | − | 0.239000i | \(-0.923181\pi\) |
0.916043 | − | 0.401080i | \(-0.131365\pi\) | |||||||
\(444\) | 4.70883 | − | 3.42117i | 0.223471 | − | 0.162361i | ||||
\(445\) | 20.6381 | + | 10.1471i | 0.978342 | + | 0.481018i | ||||
\(446\) | −0.131374 | + | 4.59870i | −0.00622075 | + | 0.217755i | ||||
\(447\) | −0.449441 | − | 0.462464i | −0.0212578 | − | 0.0218738i | ||||
\(448\) | −1.76431 | + | 1.81543i | −0.0833559 | + | 0.0857712i | ||||
\(449\) | −0.505688 | − | 17.7014i | −0.0238649 | − | 0.835380i | −0.920073 | − | 0.391746i | \(-0.871871\pi\) |
0.896208 | − | 0.443633i | \(-0.146311\pi\) | |||||||
\(450\) | −3.26567 | + | 7.15082i | −0.153945 | + | 0.337093i | ||||
\(451\) | −25.5121 | − | 10.4969i | −1.20132 | − | 0.494281i | ||||
\(452\) | 7.04463 | + | 15.4256i | 0.331351 | + | 0.725558i | ||||
\(453\) | 4.24470 | − | 2.08698i | 0.199433 | − | 0.0980548i | ||||
\(454\) | −3.57058 | + | 6.76700i | −0.167576 | + | 0.317591i | ||||
\(455\) | 2.04280 | + | 10.0816i | 0.0957679 | + | 0.472633i | ||||
\(456\) | −0.831029 | − | 0.143815i | −0.0389165 | − | 0.00673477i | ||||
\(457\) | −6.43417 | + | 19.8023i | −0.300978 | + | 0.926314i | 0.680170 | + | 0.733054i | \(0.261906\pi\) |
−0.981148 | + | 0.193259i | \(0.938094\pi\) | |||||||
\(458\) | 8.67935 | − | 22.2927i | 0.405559 | − | 1.04167i | ||||
\(459\) | 4.19065 | − | 20.6817i | 0.195603 | − | 0.965337i | ||||
\(460\) | −2.62754 | − | 2.14853i | −0.122510 | − | 0.100176i | ||||
\(461\) | 8.14149 | + | 2.39056i | 0.379187 | + | 0.111339i | 0.465771 | − | 0.884905i | \(-0.345777\pi\) |
−0.0865841 | + | 0.996245i | \(0.527595\pi\) | |||||||
\(462\) | −3.34291 | − | 3.01008i | −0.155526 | − | 0.140042i | ||||
\(463\) | 14.0361 | − | 4.12138i | 0.652315 | − | 0.191537i | 0.0612016 | − | 0.998125i | \(-0.480507\pi\) |
0.591113 | + | 0.806588i | \(0.298689\pi\) | |||||||
\(464\) | −2.52399 | − | 1.06665i | −0.117173 | − | 0.0495179i | ||||
\(465\) | 6.38319 | − | 3.60475i | 0.296013 | − | 0.167166i | ||||
\(466\) | 4.48750 | + | 1.04352i | 0.207880 | + | 0.0483403i | ||||
\(467\) | 39.2925 | − | 4.50839i | 1.81824 | − | 0.208623i | 0.863150 | − | 0.504947i | \(-0.168488\pi\) |
0.955088 | + | 0.296324i | \(0.0957607\pi\) | |||||||
\(468\) | 4.29138 | − | 6.27594i | 0.198369 | − | 0.290105i | ||||
\(469\) | 3.51367 | − | 0.200919i | 0.162246 | − | 0.00927758i | ||||
\(470\) | −4.52655 | − | 11.6263i | −0.208794 | − | 0.536283i | ||||
\(471\) | 2.69688 | − | 0.466713i | 0.124266 | − | 0.0215050i | ||||
\(472\) | −1.55250 | + | 10.7979i | −0.0714598 | + | 0.497014i | ||||
\(473\) | 0.975160 | + | 10.2143i | 0.0448379 | + | 0.469654i | ||||
\(474\) | −0.794814 | − | 5.52805i | −0.0365070 | − | 0.253912i | ||||
\(475\) | 1.40953 | + | 4.33809i | 0.0646737 | + | 0.199045i | ||||
\(476\) | −17.4243 | − | 0.996356i | −0.798640 | − | 0.0456679i | ||||
\(477\) | 9.00184 | − | 11.6738i | 0.412166 | − | 0.534506i | ||||
\(478\) | 7.44209 | − | 3.14505i | 0.340393 | − | 0.143851i | ||||
\(479\) | 27.0638 | − | 22.1299i | 1.23658 | − | 1.01114i | 0.237364 | − | 0.971421i | \(-0.423717\pi\) |
0.999211 | − | 0.0397216i | \(-0.0126471\pi\) | |||||||
\(480\) | −0.362526 | − | 0.687063i | −0.0165470 | − | 0.0313600i | ||||
\(481\) | 24.6302 | + | 17.8949i | 1.12304 | + | 0.815936i | ||||
\(482\) | −4.20691 | + | 6.97638i | −0.191619 | + | 0.317765i | ||||
\(483\) | −3.17498 | −0.144466 | ||||||||
\(484\) | −4.94754 | + | 9.82455i | −0.224888 | + | 0.446571i | ||||
\(485\) | 1.42508 | 0.0647097 | ||||||||
\(486\) | −6.53990 | + | 10.8452i | −0.296656 | + | 0.491949i | ||||
\(487\) | 15.8921 | + | 11.5463i | 0.720141 | + | 0.523213i | 0.886429 | − | 0.462864i | \(-0.153178\pi\) |
−0.166289 | + | 0.986077i | \(0.553178\pi\) | |||||||
\(488\) | 2.99822 | + | 5.68226i | 0.135723 | + | 0.257224i | ||||
\(489\) | 3.62465 | − | 2.96386i | 0.163912 | − | 0.134030i | ||||
\(490\) | 0.789861 | − | 0.333798i | 0.0356823 | − | 0.0150795i | ||||
\(491\) | −9.38627 | + | 12.1723i | −0.423596 | + | 0.549330i | −0.954542 | − | 0.298076i | \(-0.903655\pi\) |
0.530946 | + | 0.847406i | \(0.321837\pi\) | |||||||
\(492\) | −4.44920 | − | 0.254415i | −0.200586 | − | 0.0114699i | ||||
\(493\) | −5.83760 | − | 17.9663i | −0.262912 | − | 0.809161i | ||||
\(494\) | −0.627810 | − | 4.36652i | −0.0282465 | − | 0.196459i | ||||
\(495\) | −11.2986 | + | 6.52296i | −0.507833 | + | 0.293185i | ||||
\(496\) | −1.34297 | + | 9.34053i | −0.0603009 | + | 0.419402i | ||||
\(497\) | 18.3364 | − | 3.17324i | 0.822501 | − | 0.142339i | ||||
\(498\) | 2.80306 | + | 7.19960i | 0.125608 | + | 0.322622i | ||||
\(499\) | 34.4914 | − | 1.97229i | 1.54405 | − | 0.0882917i | 0.735825 | − | 0.677172i | \(-0.236795\pi\) |
0.808220 | + | 0.588880i | \(0.200431\pi\) | |||||||
\(500\) | −6.46353 | + | 9.45261i | −0.289058 | + | 0.422734i | ||||
\(501\) | 7.95749 | − | 0.913036i | 0.355514 | − | 0.0407915i | ||||
\(502\) | −8.29236 | − | 1.92831i | −0.370106 | − | 0.0860645i | ||||
\(503\) | −0.174084 | + | 0.0983099i | −0.00776203 | + | 0.00438342i | −0.495609 | − | 0.868546i | \(-0.665055\pi\) |
0.487847 | + | 0.872929i | \(0.337782\pi\) | |||||||
\(504\) | 6.32617 | + | 2.67346i | 0.281790 | + | 0.119085i | ||||
\(505\) | 9.65047 | − | 2.83363i | 0.429440 | − | 0.126095i | ||||
\(506\) | 2.04496 | + | 7.48965i | 0.0909095 | + | 0.332956i | ||||
\(507\) | 2.64560 | + | 0.776819i | 0.117495 | + | 0.0344997i | ||||
\(508\) | 11.2582 | + | 9.20582i | 0.499504 | + | 0.408442i | ||||
\(509\) | 4.27885 | − | 21.1169i | 0.189657 | − | 0.935992i | −0.766300 | − | 0.642483i | \(-0.777904\pi\) |
0.955956 | − | 0.293509i | \(-0.0948230\pi\) | |||||||
\(510\) | 1.94308 | − | 4.99075i | 0.0860408 | − | 0.220994i | ||||
\(511\) | −0.612014 | + | 1.88359i | −0.0270739 | + | 0.0833250i | ||||
\(512\) | 0.985354 | + | 0.170522i | 0.0435469 | + | 0.00753609i | ||||
\(513\) | 0.956847 | + | 4.72223i | 0.0422458 | + | 0.208491i | ||||
\(514\) | −0.348641 | + | 0.660748i | −0.0153779 | + | 0.0291444i | ||||
\(515\) | 11.6909 | − | 5.74805i | 0.515164 | − | 0.253289i | ||||
\(516\) | 0.688566 | + | 1.50775i | 0.0303124 | + | 0.0663750i | ||||
\(517\) | −6.99251 | + | 27.6689i | −0.307530 | + | 1.21688i | ||||
\(518\) | −11.4245 | + | 25.0162i | −0.501965 | + | 1.09915i | ||||
\(519\) | 0.0414498 | + | 1.45093i | 0.00181945 | + | 0.0636889i | ||||
\(520\) | 2.83191 | − | 2.91397i | 0.124187 | − | 0.127786i | ||||
\(521\) | 5.36556 | + | 5.52103i | 0.235070 | + | 0.241881i | 0.824395 | − | 0.566015i | \(-0.191516\pi\) |
−0.589325 | + | 0.807896i | \(0.700606\pi\) | |||||||
\(522\) | −0.212280 | + | 7.43078i | −0.00929126 | + | 0.325236i | ||||
\(523\) | −36.4267 | − | 17.9098i | −1.59283 | − | 0.783141i | −0.593071 | − | 0.805150i | \(-0.702085\pi\) |
−0.999758 | + | 0.0220089i | \(0.992994\pi\) | |||||||
\(524\) | 0.164332 | − | 0.119394i | 0.00717889 | − | 0.00521577i | ||||
\(525\) | 0.336324 | + | 3.91575i | 0.0146784 | + | 0.170897i | ||||
\(526\) | 1.50354 | − | 5.72005i | 0.0655573 | − | 0.249406i | ||||
\(527\) | −54.7298 | + | 35.1727i | −2.38407 | + | 1.53215i | ||||
\(528\) | −0.236164 | + | 1.76119i | −0.0102777 | + | 0.0766461i | ||||
\(529\) | −14.7390 | − | 9.47219i | −0.640827 | − | 0.411834i | ||||
\(530\) | 5.80450 | − | 5.32732i | 0.252131 | − | 0.231404i | ||||
\(531\) | 28.8263 | − | 6.70326i | 1.25095 | − | 0.290897i | ||||
\(532\) | 3.75322 | − | 1.33915i | 0.162723 | − | 0.0580594i | ||||
\(533\) | −5.92587 | − | 22.5444i | −0.256678 | − | 0.976504i | ||||
\(534\) | −6.26081 | − | 5.74612i | −0.270932 | − | 0.248659i | ||||
\(535\) | −18.6916 | − | 10.5556i | −0.808107 | − | 0.456359i | ||||
\(536\) | −0.848944 | − | 1.10093i | −0.0366688 | − | 0.0475530i | ||||
\(537\) | 2.16326 | + | 3.16366i | 0.0933514 | + | 0.136522i | ||||
\(538\) | −5.26040 | − | 6.07082i | −0.226792 | − | 0.261732i | ||||
\(539\) | −1.91462 | − | 0.426091i | −0.0824683 | − | 0.0183530i | ||||
\(540\) | −2.90630 | + | 3.35405i | −0.125067 | + | 0.144335i | ||||
\(541\) | 38.4208 | + | 4.40838i | 1.65184 | + | 0.189531i | 0.889273 | − | 0.457377i | \(-0.151211\pi\) |
0.762568 | + | 0.646909i | \(0.223938\pi\) | |||||||
\(542\) | −11.1458 | − | 3.97682i | −0.478754 | − | 0.170819i | ||||
\(543\) | 1.14385 | − | 13.3176i | 0.0490872 | − | 0.571512i | ||||
\(544\) | 3.56013 | + | 5.90381i | 0.152639 | + | 0.253124i | ||||
\(545\) | 5.05064 | + | 8.37555i | 0.216346 | + | 0.358769i | ||||
\(546\) | 0.325270 | − | 3.78705i | 0.0139203 | − | 0.162071i | ||||
\(547\) | 0.164912 | + | 0.0588407i | 0.00705115 | + | 0.00251584i | 0.339573 | − | 0.940580i | \(-0.389718\pi\) |
−0.332521 | + | 0.943096i | \(0.607899\pi\) | |||||||
\(548\) | −6.70544 | − | 0.769377i | −0.286442 | − | 0.0328662i | ||||
\(549\) | 11.4142 | − | 13.1727i | 0.487147 | − | 0.562198i | ||||
\(550\) | 9.02048 | − | 3.31545i | 0.384634 | − | 0.141371i | ||||
\(551\) | 2.82464 | + | 3.25980i | 0.120334 | + | 0.138872i | ||||
\(552\) | 0.707912 | + | 1.03529i | 0.0301307 | + | 0.0440648i | ||||
\(553\) | 16.1141 | + | 20.8972i | 0.685243 | + | 0.888639i | ||||
\(554\) | −4.32097 | − | 2.44016i | −0.183580 | − | 0.103673i | ||||
\(555\) | −6.21758 | − | 5.70644i | −0.263921 | − | 0.242225i | ||||
\(556\) | −2.98991 | − | 11.3748i | −0.126800 | − | 0.482399i | ||||
\(557\) | 34.3682 | − | 12.2625i | 1.45623 | − | 0.519580i | 0.514951 | − | 0.857220i | \(-0.327810\pi\) |
0.941276 | + | 0.337639i | \(0.109628\pi\) | |||||||
\(558\) | 24.9356 | − | 5.79853i | 1.05561 | − | 0.245472i | ||||
\(559\) | −6.38752 | + | 5.86242i | −0.270163 | + | 0.247954i | ||||
\(560\) | 3.08787 | + | 1.98445i | 0.130486 | + | 0.0838585i | ||||
\(561\) | −10.2425 | + | 6.72082i | −0.432439 | + | 0.283753i | ||||
\(562\) | 25.1872 | − | 16.1868i | 1.06246 | − | 0.682800i | ||||
\(563\) | −6.36670 | + | 24.2214i | −0.268324 | + | 1.02081i | 0.687336 | + | 0.726340i | \(0.258780\pi\) |
−0.955660 | + | 0.294472i | \(0.904856\pi\) | |||||||
\(564\) | 0.394519 | + | 4.59330i | 0.0166122 | + | 0.193413i | ||||
\(565\) | 19.8923 | − | 14.4526i | 0.836874 | − | 0.608024i | ||||
\(566\) | 11.5050 | + | 5.65661i | 0.483590 | + | 0.237765i | ||||
\(567\) | 0.469809 | − | 16.4455i | 0.0197301 | − | 0.690644i | ||||
\(568\) | −5.12312 | − | 5.27157i | −0.214962 | − | 0.221190i | ||||
\(569\) | −28.3488 | + | 29.1703i | −1.18845 | + | 1.22288i | −0.219498 | + | 0.975613i | \(0.570442\pi\) |
−0.968947 | + | 0.247268i | \(0.920467\pi\) | |||||||
\(570\) | 0.0349199 | + | 1.22236i | 0.00146263 | + | 0.0511988i | ||||
\(571\) | −7.35891 | + | 16.1138i | −0.307961 | + | 0.674340i | −0.998816 | − | 0.0486532i | \(-0.984507\pi\) |
0.690855 | + | 0.722993i | \(0.257234\pi\) | |||||||
\(572\) | −9.14301 | + | 1.67189i | −0.382288 | + | 0.0699051i | ||||
\(573\) | −1.46710 | − | 3.21251i | −0.0612891 | − | 0.134204i | ||||
\(574\) | 18.8963 | − | 9.29070i | 0.788717 | − | 0.387786i | ||||
\(575\) | 3.16544 | − | 5.99918i | 0.132008 | − | 0.250183i | ||||
\(576\) | −0.538766 | − | 2.65891i | −0.0224486 | − | 0.110788i | ||||
\(577\) | 3.91898 | + | 0.678207i | 0.163149 | + | 0.0282341i | 0.251512 | − | 0.967854i | \(-0.419072\pi\) |
−0.0883621 | + | 0.996088i | \(0.528163\pi\) | |||||||
\(578\) | −9.43415 | + | 29.0353i | −0.392409 | + | 1.20771i | ||||
\(579\) | 0.393275 | − | 1.01012i | 0.0163440 | − | 0.0419791i | ||||
\(580\) | −0.789004 | + | 3.89389i | −0.0327616 | + | 0.161685i | ||||
\(581\) | −28.2603 | − | 23.1083i | −1.17243 | − | 0.958695i | ||||
\(582\) | −0.505257 | − | 0.148357i | −0.0209436 | − | 0.00614958i | ||||
\(583\) | −17.8839 | + | 2.22434i | −0.740675 | + | 0.0921229i | ||||
\(584\) | 0.750654 | − | 0.220412i | 0.0310623 | − | 0.00912070i | ||||
\(585\) | −10.1542 | − | 4.29119i | −0.419824 | − | 0.177419i | ||||
\(586\) | 5.52805 | − | 3.12183i | 0.228361 | − | 0.128962i | ||||
\(587\) | 9.35463 | + | 2.17533i | 0.386107 | + | 0.0897853i | 0.415057 | − | 0.909796i | \(-0.363762\pi\) |
−0.0289497 | + | 0.999581i | \(0.509216\pi\) | |||||||
\(588\) | −0.314791 | + | 0.0361189i | −0.0129818 | + | 0.00148952i | ||||
\(589\) | 8.38452 | − | 12.2620i | 0.345478 | − | 0.505246i | ||||
\(590\) | 15.7915 | − | 0.902993i | 0.650127 | − | 0.0371756i | ||||
\(591\) | −3.82631 | − | 9.82780i | −0.157393 | − | 0.404262i | ||||
\(592\) | 10.7045 | − | 1.85249i | 0.439953 | − | 0.0761368i | ||||
\(593\) | 0.231659 | − | 1.61122i | 0.00951310 | − | 0.0661651i | −0.984512 | − | 0.175318i | \(-0.943905\pi\) |
0.994025 | + | 0.109153i | \(0.0348138\pi\) | |||||||
\(594\) | 9.86555 | − | 2.39317i | 0.404788 | − | 0.0981928i | ||||
\(595\) | 3.60134 | + | 25.0479i | 0.147641 | + | 1.02686i | ||||
\(596\) | −0.371947 | − | 1.14473i | −0.0152355 | − | 0.0468901i | ||||
\(597\) | −10.1691 | − | 0.581490i | −0.416193 | − | 0.0237988i | ||||
\(598\) | −4.00594 | + | 5.19499i | −0.163815 | + | 0.212439i | ||||
\(599\) | −11.3351 | + | 4.79027i | −0.463142 | + | 0.195725i | −0.608339 | − | 0.793677i | \(-0.708164\pi\) |
0.145197 | + | 0.989403i | \(0.453618\pi\) | |||||||
\(600\) | 1.20185 | − | 0.982747i | 0.0490653 | − | 0.0401205i | ||||
\(601\) | 16.5607 | + | 31.3861i | 0.675526 | + | 1.28026i | 0.948052 | + | 0.318116i | \(0.103050\pi\) |
−0.272526 | + | 0.962149i | \(0.587859\pi\) | |||||||
\(602\) | −6.33610 | − | 4.60344i | −0.258240 | − | 0.187622i | ||||
\(603\) | −1.94766 | + | 3.22984i | −0.0793150 | + | 0.131529i | ||||
\(604\) | 8.82838 | 0.359222 | ||||||||
\(605\) | 15.3859 | + | 4.20185i | 0.625527 | + | 0.170829i | ||||
\(606\) | −3.71652 | −0.150973 | ||||||||
\(607\) | 15.0877 | − | 25.0202i | 0.612393 | − | 1.01554i | −0.383371 | − | 0.923594i | \(-0.625237\pi\) |
0.995764 | − | 0.0919452i | \(-0.0293085\pi\) | |||||||
\(608\) | −1.27351 | − | 0.925256i | −0.0516475 | − | 0.0375241i | ||||
\(609\) | 1.73436 | + | 3.28698i | 0.0702799 | + | 0.133195i | ||||
\(610\) | 7.21152 | − | 5.89683i | 0.291986 | − | 0.238756i | ||||
\(611\) | −22.2123 | + | 9.38698i | −0.898612 | + | 0.379757i | ||||
\(612\) | 11.4213 | − | 14.8114i | 0.461677 | − | 0.598714i | ||||
\(613\) | −25.0746 | − | 1.43382i | −1.01275 | − | 0.0579114i | −0.457177 | − | 0.889376i | \(-0.651139\pi\) |
−0.555578 | + | 0.831464i | \(0.687503\pi\) | |||||||
\(614\) | −5.01012 | − | 15.4196i | −0.202192 | − | 0.622283i | ||||
\(615\) | 0.919585 | + | 6.39586i | 0.0370813 | + | 0.257906i | ||||
\(616\) | −3.12038 | − | 7.79473i | −0.125723 | − | 0.314059i | ||||
\(617\) | −4.31305 | + | 29.9980i | −0.173637 | + | 1.20767i | 0.697483 | + | 0.716602i | \(0.254303\pi\) |
−0.871120 | + | 0.491071i | \(0.836606\pi\) | |||||||
\(618\) | −4.74336 | + | 0.820871i | −0.190806 | + | 0.0330203i | ||||
\(619\) | 6.95828 | + | 17.8722i | 0.279677 | + | 0.718344i | 0.999702 | + | 0.0243964i | \(0.00776638\pi\) |
−0.720026 | + | 0.693947i | \(0.755870\pi\) | |||||||
\(620\) | 13.6602 | − | 0.781118i | 0.548606 | − | 0.0313704i | ||||
\(621\) | 4.04427 | − | 5.91455i | 0.162291 | − | 0.237343i | ||||
\(622\) | −13.2133 | + | 1.51608i | −0.529805 | + | 0.0607894i | ||||
\(623\) | 39.1093 | + | 9.09449i | 1.56688 | + | 0.364363i | ||||
\(624\) | −1.30740 | + | 0.738320i | −0.0523377 | + | 0.0295565i | ||||
\(625\) | 1.94835 | + | 0.823378i | 0.0779339 | + | 0.0329351i | ||||
\(626\) | −23.6791 | + | 6.95281i | −0.946407 | + | 0.277890i | ||||
\(627\) | 1.55684 | − | 2.32389i | 0.0621742 | − | 0.0928073i | ||||
\(628\) | 4.90151 | + | 1.43921i | 0.195592 | + | 0.0574309i | ||||
\(629\) | 57.9798 | + | 47.4099i | 2.31181 | + | 1.89036i | ||||
\(630\) | 1.97757 | − | 9.75970i | 0.0787883 | − | 0.388836i | ||||
\(631\) | 5.21790 | − | 13.4021i | 0.207721 | − | 0.533528i | −0.789004 | − | 0.614388i | \(-0.789403\pi\) |
0.996725 | + | 0.0808599i | \(0.0257666\pi\) | |||||||
\(632\) | 3.22120 | − | 9.91382i | 0.128132 | − | 0.394351i | ||||
\(633\) | 1.09915 | + | 0.190215i | 0.0436871 | + | 0.00756036i | ||||
\(634\) | 5.79197 | + | 28.5845i | 0.230028 | + | 1.13524i | ||||
\(635\) | 9.84030 | − | 18.6494i | 0.390500 | − | 0.740081i | ||||
\(636\) | −2.61255 | + | 1.28451i | −0.103594 | + | 0.0509340i | ||||
\(637\) | −0.688492 | − | 1.50759i | −0.0272791 | − | 0.0597328i | ||||
\(638\) | 6.63679 | − | 6.20839i | 0.262753 | − | 0.245793i | ||||
\(639\) | −8.28447 | + | 18.1405i | −0.327728 | + | 0.717625i | ||||
\(640\) | −0.0414046 | − | 1.44935i | −0.00163666 | − | 0.0572906i | ||||
\(641\) | −18.4874 | + | 19.0231i | −0.730208 | + | 0.751366i | −0.975956 | − | 0.217968i | \(-0.930057\pi\) |
0.245748 | + | 0.969334i | \(0.420966\pi\) | |||||||
\(642\) | 5.52813 | + | 5.68831i | 0.218178 | + | 0.224500i | ||||
\(643\) | 0.944595 | − | 33.0651i | 0.0372512 | − | 1.30396i | −0.739072 | − | 0.673626i | \(-0.764736\pi\) |
0.776323 | − | 0.630335i | \(-0.217082\pi\) | |||||||
\(644\) | −5.31796 | − | 2.61467i | −0.209557 | − | 0.103032i | ||||
\(645\) | 1.94434 | − | 1.41264i | 0.0765582 | − | 0.0556228i | ||||
\(646\) | −0.928693 | − | 10.8126i | −0.0365389 | − | 0.425415i | ||||
\(647\) | −3.74664 | + | 14.2537i | −0.147296 | + | 0.560371i | 0.852024 | + | 0.523502i | \(0.175375\pi\) |
−0.999320 | + | 0.0368690i | \(0.988262\pi\) | |||||||
\(648\) | −5.46724 | + | 3.51358i | −0.214774 | + | 0.138027i | ||||
\(649\) | −30.6218 | − | 19.2708i | −1.20201 | − | 0.756444i | ||||
\(650\) | 6.83141 | + | 4.39028i | 0.267950 | + | 0.172201i | ||||
\(651\) | 9.42957 | − | 8.65438i | 0.369574 | − | 0.339192i | ||||
\(652\) | 8.51194 | − | 1.97937i | 0.333353 | − | 0.0775180i | ||||
\(653\) | −19.6473 | + | 7.01015i | −0.768859 | + | 0.274329i | −0.691212 | − | 0.722652i | \(-0.742923\pi\) |
−0.0776478 | + | 0.996981i | \(0.524741\pi\) | |||||||
\(654\) | −0.918754 | − | 3.49530i | −0.0359261 | − | 0.136677i | ||||
\(655\) | −0.216986 | − | 0.199148i | −0.00847833 | − | 0.00778134i | ||||
\(656\) | −7.24273 | − | 4.09016i | −0.282781 | − | 0.159694i | ||||
\(657\) | −1.29607 | − | 1.68078i | −0.0505647 | − | 0.0655734i | ||||
\(658\) | −12.2954 | − | 17.9814i | −0.479324 | − | 0.700988i | ||||
\(659\) | −23.2424 | − | 26.8231i | −0.905395 | − | 1.04488i | −0.998786 | − | 0.0492516i | \(-0.984316\pi\) |
0.0933919 | − | 0.995629i | \(-0.470229\pi\) | |||||||
\(660\) | 2.57077 | − | 0.171523i | 0.100067 | − | 0.00667651i | ||||
\(661\) | 3.50858 | − | 4.04912i | 0.136468 | − | 0.157493i | −0.683402 | − | 0.730042i | \(-0.739500\pi\) |
0.819870 | + | 0.572550i | \(0.194046\pi\) | |||||||
\(662\) | −23.2532 | − | 2.66806i | −0.903762 | − | 0.103697i | ||||
\(663\) | −9.74937 | − | 3.47857i | −0.378634 | − | 0.135096i | ||||
\(664\) | −1.23402 | + | 14.3674i | −0.0478892 | + | 0.557564i | ||||
\(665\) | −2.98373 | − | 4.94796i | −0.115704 | − | 0.191874i | ||||
\(666\) | −15.2195 | − | 25.2387i | −0.589744 | − | 0.977980i | ||||
\(667\) | 0.548903 | − | 6.39076i | 0.0212536 | − | 0.247451i | ||||
\(668\) | 14.0804 | + | 5.02387i | 0.544786 | + | 0.194379i | ||||
\(669\) | −2.44879 | − | 0.280973i | −0.0946759 | − | 0.0108630i | ||||
\(670\) | −1.32004 | + | 1.52341i | −0.0509977 | + | 0.0588545i | ||||
\(671\) | −21.2612 | + | 1.41855i | −0.820780 | + | 0.0547627i | ||||
\(672\) | −0.888201 | − | 1.02504i | −0.0342631 | − | 0.0395417i | ||||
\(673\) | 17.7847 | + | 26.0092i | 0.685548 | + | 1.00258i | 0.998603 | + | 0.0528468i | \(0.0168295\pi\) |
−0.313055 | + | 0.949735i | \(0.601352\pi\) | |||||||
\(674\) | 17.6414 | + | 22.8777i | 0.679520 | + | 0.881217i | ||||
\(675\) | −7.72291 | − | 4.36133i | −0.297255 | − | 0.167868i | ||||
\(676\) | 3.79155 | + | 3.47985i | 0.145829 | + | 0.133841i | ||||
\(677\) | −3.88941 | − | 14.7968i | −0.149482 | − | 0.568689i | −0.999144 | − | 0.0413613i | \(-0.986831\pi\) |
0.849662 | − | 0.527327i | \(-0.176806\pi\) | |||||||
\(678\) | −8.55728 | + | 3.05323i | −0.328640 | + | 0.117259i | ||||
\(679\) | 2.42346 | − | 0.563551i | 0.0930038 | − | 0.0216271i | ||||
\(680\) | 7.36457 | − | 6.75914i | 0.282418 | − | 0.259201i | ||||
\(681\) | −3.44857 | − | 2.21626i | −0.132149 | − | 0.0849273i | ||||
\(682\) | −26.4888 | − | 16.6698i | −1.01431 | − | 0.638321i | ||||
\(683\) | −33.7047 | + | 21.6607i | −1.28967 | + | 0.828823i | −0.992048 | − | 0.125860i | \(-0.959831\pi\) |
−0.297625 | + | 0.954683i | \(0.596195\pi\) | |||||||
\(684\) | −1.08565 | + | 4.13026i | −0.0415110 | + | 0.157924i | ||||
\(685\) | 0.837461 | + | 9.75038i | 0.0319977 | + | 0.372543i | ||||
\(686\) | 15.5475 | − | 11.2959i | 0.593607 | − | 0.431281i | ||||
\(687\) | 11.5021 | + | 5.65520i | 0.438832 | + | 0.215759i | ||||
\(688\) | −0.0883448 | + | 3.09247i | −0.00336811 | + | 0.117899i | ||||
\(689\) | −10.6127 | − | 10.9203i | −0.404314 | − | 0.416029i | ||||
\(690\) | 1.26737 | − | 1.30409i | 0.0482480 | − | 0.0496460i | ||||
\(691\) | 0.884341 | + | 30.9560i | 0.0336419 | + | 1.17762i | 0.824587 | + | 0.565735i | \(0.191407\pi\) |
−0.790945 | + | 0.611887i | \(0.790411\pi\) | |||||||
\(692\) | −1.12545 | + | 2.46439i | −0.0427832 | + | 0.0936821i | ||||
\(693\) | −16.6345 | + | 15.5608i | −0.631894 | + | 0.591106i | ||||
\(694\) | −8.24749 | − | 18.0595i | −0.313070 | − | 0.685529i | ||||
\(695\) | −15.3034 | + | 7.52416i | −0.580490 | + | 0.285408i | ||||
\(696\) | 0.685107 | − | 1.29842i | 0.0259689 | − | 0.0492166i | ||||
\(697\) | −11.3881 | − | 56.2024i | −0.431355 | − | 2.12882i | ||||
\(698\) | −4.20813 | − | 0.728245i | −0.159280 | − | 0.0275645i | ||||
\(699\) | −0.762788 | + | 2.34762i | −0.0288513 | + | 0.0887951i | ||||
\(700\) | −2.66138 | + | 6.83569i | −0.100591 | + | 0.258365i | ||||
\(701\) | −0.845344 | + | 4.17193i | −0.0319282 | + | 0.157572i | −0.992875 | − | 0.119162i | \(-0.961979\pi\) |
0.960947 | + | 0.276734i | \(0.0892520\pi\) | |||||||
\(702\) | 6.64043 | + | 5.42985i | 0.250627 | + | 0.204937i | ||||
\(703\) | −16.4082 | − | 4.81787i | −0.618846 | − | 0.181709i | ||||
\(704\) | −1.84595 | + | 2.75544i | −0.0695718 | + | 0.103850i | ||||
\(705\) | 6.41377 | − | 1.88325i | 0.241556 | − | 0.0709274i | ||||
\(706\) | 2.83887 | + | 1.19972i | 0.106842 | + | 0.0451520i | ||||
\(707\) | 15.2908 | − | 8.63508i | 0.575068 | − | 0.324756i | ||||
\(708\) | −5.69282 | − | 1.32381i | −0.213949 | − | 0.0497518i | ||||
\(709\) | −43.2430 | + | 4.96168i | −1.62403 | + | 0.186340i | −0.877690 | − | 0.479229i | \(-0.840916\pi\) |
−0.746336 | + | 0.665569i | \(0.768189\pi\) | |||||||
\(710\) | −6.01606 | + | 8.79820i | −0.225779 | + | 0.330191i | ||||
\(711\) | −28.2337 | + | 1.61446i | −1.05885 | + | 0.0605470i | ||||
\(712\) | −5.75455 | − | 14.7804i | −0.215661 | − | 0.553920i | ||||
\(713\) | −21.7663 | + | 3.76681i | −0.815156 | + | 0.141068i | ||||
\(714\) | 1.33074 | − | 9.25552i | 0.0498018 | − | 0.346379i | ||||
\(715\) | 5.00854 | + | 12.5114i | 0.187309 | + | 0.467899i | ||||
\(716\) | 1.01802 | + | 7.08050i | 0.0380453 | + | 0.264611i | ||||
\(717\) | 1.33764 | + | 4.11684i | 0.0499552 | + | 0.153746i | ||||
\(718\) | 33.3210 | + | 1.90536i | 1.24353 | + | 0.0711075i | ||||
\(719\) | −27.7041 | + | 35.9273i | −1.03319 | + | 1.33986i | −0.0943383 | + | 0.995540i | \(0.530074\pi\) |
−0.938851 | + | 0.344324i | \(0.888108\pi\) | |||||||
\(720\) | −3.62335 | + | 1.53124i | −0.135034 | + | 0.0570659i | ||||
\(721\) | 17.6082 | − | 14.3982i | 0.655764 | − | 0.536216i | ||||
\(722\) | −7.71032 | − | 14.6127i | −0.286948 | − | 0.543827i | ||||
\(723\) | −3.53116 | − | 2.56554i | −0.131325 | − | 0.0954134i | ||||
\(724\) | 12.8832 | − | 21.3644i | 0.478801 | − | 0.794003i | ||||
\(725\) | −7.93997 | −0.294883 | ||||||||
\(726\) | −5.01758 | − | 3.09148i | −0.186220 | − | 0.114736i | ||||
\(727\) | 33.7682 | 1.25239 | 0.626196 | − | 0.779666i | \(-0.284611\pi\) | ||||
0.626196 | + | 0.779666i | \(0.284611\pi\) | |||||||
\(728\) | 3.66354 | − | 6.07529i | 0.135780 | − | 0.225165i | ||||
\(729\) | 10.2838 | + | 7.47163i | 0.380882 | + | 0.276727i | ||||
\(730\) | −0.529366 | − | 1.00326i | −0.0195927 | − | 0.0371323i | ||||
\(731\) | −16.5114 | + | 13.5013i | −0.610698 | + | 0.499365i | ||||
\(732\) | −3.17070 | + | 1.33995i | −0.117192 | + | 0.0495259i | ||||
\(733\) | −2.46611 | + | 3.19811i | −0.0910879 | + | 0.118125i | −0.835241 | − | 0.549885i | \(-0.814672\pi\) |
0.744153 | + | 0.668010i | \(0.232853\pi\) | |||||||
\(734\) | −9.96856 | − | 0.570023i | −0.367946 | − | 0.0210399i | ||||
\(735\) | 0.141970 | + | 0.436938i | 0.00523663 | + | 0.0161167i | ||||
\(736\) | 0.333141 | + | 2.31705i | 0.0122798 | + | 0.0854076i | ||||
\(737\) | 4.48094 | − | 1.08698i | 0.165057 | − | 0.0400393i | ||||
\(738\) | −3.21146 | + | 22.3362i | −0.118215 | + | 0.822206i | ||||
\(739\) | −50.5157 | + | 8.74209i | −1.85825 | + | 0.321583i | −0.985905 | − | 0.167306i | \(-0.946493\pi\) |
−0.872346 | + | 0.488889i | \(0.837402\pi\) | |||||||
\(740\) | −5.71481 | − | 14.6784i | −0.210081 | − | 0.539588i | ||||
\(741\) | 2.35966 | − | 0.134930i | 0.0866844 | − | 0.00495679i | ||||
\(742\) | 7.76428 | − | 11.3549i | 0.285036 | − | 0.416851i | ||||
\(743\) | 53.1090 | − | 6.09369i | 1.94838 | − | 0.223556i | 0.951834 | − | 0.306613i | \(-0.0991958\pi\) |
0.996545 | + | 0.0830574i | \(0.0264685\pi\) | |||||||
\(744\) | −4.92447 | − | 1.14514i | −0.180540 | − | 0.0419828i | ||||
\(745\) | −1.51964 | + | 0.858179i | −0.0556753 | + | 0.0314413i | ||||
\(746\) | 9.77845 | + | 4.13241i | 0.358015 | + | 0.151298i | ||||
\(747\) | 37.5369 | − | 11.0218i | 1.37340 | − | 0.403267i | ||||
\(748\) | −22.6905 | + | 2.82218i | −0.829648 | + | 0.103189i | ||||
\(749\) | −35.9606 | − | 10.5590i | −1.31397 | − | 0.385817i | ||||
\(750\) | −4.74953 | − | 3.88367i | −0.173428 | − | 0.141812i | ||||
\(751\) | 4.28449 | − | 21.1448i | 0.156343 | − | 0.771585i | −0.822787 | − | 0.568350i | \(-0.807582\pi\) |
0.979130 | − | 0.203235i | \(-0.0651455\pi\) | |||||||
\(752\) | −3.12188 | + | 8.01849i | −0.113843 | + | 0.292404i | ||||
\(753\) | 1.40954 | − | 4.33812i | 0.0513665 | − | 0.158090i | ||||
\(754\) | 7.56654 | + | 1.30944i | 0.275557 | + | 0.0476870i | ||||
\(755\) | −2.54208 | − | 12.5457i | −0.0925159 | − | 0.456584i | ||||
\(756\) | −3.61601 | + | 6.85310i | −0.131513 | + | 0.249245i | ||||
\(757\) | −9.19165 | + | 4.51923i | −0.334076 | + | 0.164254i | −0.600548 | − | 0.799588i | \(-0.705051\pi\) |
0.266472 | + | 0.963843i | \(0.414142\pi\) | |||||||
\(758\) | 0.715021 | + | 1.56568i | 0.0259707 | + | 0.0568680i | ||||
\(759\) | −4.09179 | + | 0.748223i | −0.148523 | + | 0.0271588i | ||||
\(760\) | −0.948148 | + | 2.07615i | −0.0343929 | + | 0.0753101i | ||||
\(761\) | −0.507463 | − | 17.7635i | −0.0183955 | − | 0.643927i | −0.955519 | − | 0.294929i | \(-0.904704\pi\) |
0.937124 | − | 0.348998i | \(-0.113478\pi\) | |||||||
\(762\) | −5.43031 | + | 5.58766i | −0.196720 | + | 0.202420i | ||||
\(763\) | 11.9011 | + | 12.2459i | 0.430849 | + | 0.443333i | ||||
\(764\) | 0.188233 | − | 6.58901i | 0.00681003 | − | 0.238382i | ||||
\(765\) | −24.3366 | − | 11.9655i | −0.879890 | − | 0.432613i | ||||
\(766\) | 5.43293 | − | 3.94726i | 0.196300 | − | 0.142620i | ||||
\(767\) | −2.61616 | − | 30.4594i | −0.0944641 | − | 1.09983i | ||||
\(768\) | −0.136203 | + | 0.518171i | −0.00491481 | + | 0.0186979i | ||||
\(769\) | −23.9701 | + | 15.4046i | −0.864384 | + | 0.555506i | −0.896030 | − | 0.443994i | \(-0.853561\pi\) |
0.0316464 | + | 0.999499i | \(0.489925\pi\) | |||||||
\(770\) | −10.1783 | + | 6.67870i | −0.366801 | + | 0.240684i | ||||
\(771\) | −0.336728 | − | 0.216402i | −0.0121270 | − | 0.00779352i | ||||
\(772\) | 1.49058 | − | 1.36804i | 0.0536471 | − | 0.0492368i | ||||
\(773\) | 11.9755 | − | 2.78477i | 0.430727 | − | 0.100161i | −0.00552704 | − | 0.999985i | \(-0.501759\pi\) |
0.436254 | + | 0.899823i | \(0.356305\pi\) | |||||||
\(774\) | 7.90502 | − | 2.82051i | 0.284140 | − | 0.101381i | ||||
\(775\) | 6.95137 | + | 26.4457i | 0.249700 | + | 0.949959i | ||||
\(776\) | −0.724110 | − | 0.664582i | −0.0259940 | − | 0.0238571i | ||||
\(777\) | −12.8301 | − | 7.24547i | −0.460276 | − | 0.259930i | ||||
\(778\) | 6.93439 | + | 8.99267i | 0.248610 | + | 0.322403i | ||||
\(779\) | 7.39051 | + | 10.8083i | 0.264792 | + | 0.387246i | ||||
\(780\) | 1.42566 | + | 1.64530i | 0.0510467 | + | 0.0589111i | ||||
\(781\) | 22.8835 | − | 8.41076i | 0.818835 | − | 0.300961i | ||||
\(782\) | −10.5684 | + | 12.1966i | −0.377925 | + | 0.436149i | ||||
\(783\) | −8.33242 | − | 0.956056i | −0.297776 | − | 0.0341667i | ||||
\(784\) | −0.557008 | − | 0.198740i | −0.0198931 | − | 0.00709786i | ||||
\(785\) | 0.633849 | − | 7.37977i | 0.0226231 | − | 0.263395i | ||||
\(786\) | 0.0561992 | + | 0.0931959i | 0.00200456 | + | 0.00332419i | ||||
\(787\) | 2.51070 | + | 4.16353i | 0.0894969 | + | 0.148414i | 0.897876 | − | 0.440248i | \(-0.145109\pi\) |
−0.808379 | + | 0.588662i | \(0.799655\pi\) | |||||||
\(788\) | 1.68450 | − | 19.6122i | 0.0600077 | − | 0.698657i | ||||
\(789\) | 2.98447 | + | 1.06486i | 0.106250 | + | 0.0379099i | ||||
\(790\) | −15.0157 | − | 1.72289i | −0.534234 | − | 0.0612977i | ||||
\(791\) | 28.1129 | − | 32.4441i | 0.999581 | − | 1.15358i | ||||
\(792\) | 8.78296 | + | 1.95462i | 0.312089 | + | 0.0694542i | ||||
\(793\) | −11.7907 | − | 13.6072i | −0.418700 | − | 0.483206i | ||||
\(794\) | −8.64720 | − | 12.6461i | −0.306878 | − | 0.448794i | ||||
\(795\) | 2.57763 | + | 3.34274i | 0.0914193 | + | 0.118555i | ||||
\(796\) | −16.5540 | − | 9.34845i | −0.586740 | − | 0.331347i | ||||
\(797\) | −7.73752 | − | 7.10143i | −0.274077 | − | 0.251545i | 0.527336 | − | 0.849657i | \(-0.323191\pi\) |
−0.801413 | + | 0.598111i | \(0.795918\pi\) | |||||||
\(798\) | 0.542766 | + | 2.06490i | 0.0192137 | + | 0.0730965i | ||||
\(799\) | −55.8728 | + | 19.9354i | −1.97664 | + | 0.705263i | ||||
\(800\) | 2.82236 | − | 0.656312i | 0.0997856 | − | 0.0232041i | ||||
\(801\) | −31.7023 | + | 29.0961i | −1.12015 | + | 1.02806i | ||||
\(802\) | 26.8747 | + | 17.2713i | 0.948977 | + | 0.609871i | ||||
\(803\) | −0.344850 | + | 2.57172i | −0.0121695 | + | 0.0907541i | ||||
\(804\) | 0.626608 | − | 0.402697i | 0.0220988 | − | 0.0142020i | ||||
\(805\) | −2.18433 | + | 8.31004i | −0.0769874 | + | 0.292890i | ||||
\(806\) | −2.26306 | − | 26.3484i | −0.0797130 | − | 0.928082i | ||||
\(807\) | 3.48183 | − | 2.52970i | 0.122566 | − | 0.0890497i | ||||
\(808\) | −6.22502 | − | 3.06064i | −0.218996 | − | 0.107673i | ||||
\(809\) | −0.445498 | + | 15.5945i | −0.0156629 | + | 0.548272i | 0.953435 | + | 0.301597i | \(0.0975198\pi\) |
−0.969098 | + | 0.246675i | \(0.920662\pi\) | |||||||
\(810\) | 6.56729 | + | 6.75758i | 0.230751 | + | 0.237437i | ||||
\(811\) | 19.3517 | − | 19.9125i | 0.679532 | − | 0.699222i | −0.286373 | − | 0.958118i | \(-0.592450\pi\) |
0.965905 | + | 0.258897i | \(0.0833589\pi\) | |||||||
\(812\) | 0.198084 | + | 6.93385i | 0.00695139 | + | 0.243331i | ||||
\(813\) | 2.63388 | − | 5.76739i | 0.0923742 | − | 0.202271i | ||||
\(814\) | −8.82812 | + | 34.9323i | −0.309425 | + | 1.22438i | ||||
\(815\) | −5.26377 | − | 11.5261i | −0.184382 | − | 0.403740i | ||||
\(816\) | −3.31473 | + | 1.62974i | −0.116039 | + | 0.0570524i | ||||
\(817\) | 2.27265 | − | 4.30716i | 0.0795101 | − | 0.150688i | ||||
\(818\) | −4.18692 | − | 20.6633i | −0.146392 | − | 0.722474i | ||||
\(819\) | −18.9649 | − | 3.28200i | −0.662686 | − | 0.114682i | ||||
\(820\) | −3.72686 | + | 11.4701i | −0.130148 | + | 0.400554i | ||||
\(821\) | 0.0893070 | − | 0.229383i | 0.00311684 | − | 0.00800553i | −0.930297 | − | 0.366807i | \(-0.880451\pi\) |
0.933414 | + | 0.358802i | \(0.116815\pi\) | |||||||
\(822\) | 0.718135 | − | 3.54414i | 0.0250478 | − | 0.123616i | ||||
\(823\) | 10.1771 | + | 8.32180i | 0.354753 | + | 0.290080i | 0.793549 | − | 0.608507i | \(-0.208231\pi\) |
−0.438796 | + | 0.898587i | \(0.644595\pi\) | |||||||
\(824\) | −8.62095 | − | 2.53134i | −0.300325 | − | 0.0881834i | ||||
\(825\) | 1.35624 | + | 4.96721i | 0.0472181 | + | 0.172936i | ||||
\(826\) | 26.4976 | − | 7.78039i | 0.921968 | − | 0.270714i | ||||
\(827\) | 39.6928 | + | 16.7743i | 1.38025 | + | 0.583300i | 0.947948 | − | 0.318426i | \(-0.103154\pi\) |
0.432307 | + | 0.901727i | \(0.357700\pi\) | |||||||
\(828\) | 5.52982 | − | 3.12284i | 0.192175 | − | 0.108526i | ||||
\(829\) | −14.2510 | − | 3.31392i | −0.494957 | − | 0.115097i | −0.0284148 | − | 0.999596i | \(-0.509046\pi\) |
−0.466542 | + | 0.884499i | \(0.654500\pi\) | |||||||
\(830\) | 20.7723 | − | 2.38340i | 0.721019 | − | 0.0827292i | ||||
\(831\) | 1.50069 | − | 2.19469i | 0.0520583 | − | 0.0761329i | ||||
\(832\) | −2.79786 | + | 0.159987i | −0.0969984 | + | 0.00554657i | ||||
\(833\) | −1.47925 | − | 3.79941i | −0.0512528 | − | 0.131642i | ||||
\(834\) | 6.20903 | − | 1.07452i | 0.215001 | − | 0.0372074i | ||||
\(835\) | 3.08486 | − | 21.4557i | 0.106756 | − | 0.742505i | ||||
\(836\) | 4.52142 | − | 2.61033i | 0.156377 | − | 0.0902803i | ||||
\(837\) | 4.11061 | + | 28.5899i | 0.142083 | + | 0.988211i | ||||
\(838\) | −0.786780 | − | 2.42146i | −0.0271789 | − | 0.0836480i | ||||
\(839\) | 12.7661 | + | 0.729993i | 0.440735 | + | 0.0252021i | 0.276048 | − | 0.961144i | \(-0.410975\pi\) |
0.164687 | + | 0.986346i | \(0.447339\pi\) | |||||||
\(840\) | −1.20089 | + | 1.55734i | −0.0414347 | + | 0.0537335i | ||||
\(841\) | 19.7965 | − | 8.36608i | 0.682639 | − | 0.288486i | ||||
\(842\) | 15.7465 | − | 12.8758i | 0.542660 | − | 0.443731i | ||||
\(843\) | 7.48585 | + | 14.1873i | 0.257826 | + | 0.488635i | ||||
\(844\) | 1.68438 | + | 1.22377i | 0.0579788 | + | 0.0421240i | ||||
\(845\) | 3.85334 | − | 6.39004i | 0.132559 | − | 0.219824i | ||||
\(846\) | 23.3443 | 0.802594 | ||||||||
\(847\) | 27.8265 | + | 1.06116i | 0.956130 | + | 0.0364619i | ||||
\(848\) | −5.43374 | −0.186596 | ||||||||
\(849\) | −3.54703 | + | 5.88209i | −0.121734 | + | 0.201873i | ||||
\(850\) | 16.1617 | + | 11.7422i | 0.554343 | + | 0.402754i | ||||
\(851\) | 11.8675 | + | 22.4915i | 0.406814 | + | 0.770998i | ||||
\(852\) | 3.04889 | − | 2.49307i | 0.104453 | − | 0.0854111i | ||||
\(853\) | −38.2843 | + | 16.1791i | −1.31083 | + | 0.553962i | −0.928935 | − | 0.370244i | \(-0.879274\pi\) |
−0.381896 | + | 0.924205i | \(0.624729\pi\) | |||||||
\(854\) | 9.93181 | − | 12.8798i | 0.339860 | − | 0.440738i | ||||
\(855\) | 6.18197 | + | 0.353498i | 0.211419 | + | 0.0120894i | ||||
\(856\) | 4.57494 | + | 14.0802i | 0.156368 | + | 0.481252i | ||||
\(857\) | −0.547864 | − | 3.81048i | −0.0187147 | − | 0.130163i | 0.978322 | − | 0.207089i | \(-0.0663988\pi\) |
−0.997037 | + | 0.0769252i | \(0.975490\pi\) | |||||||
\(858\) | −0.473270 | − | 4.95726i | −0.0161572 | − | 0.169238i | ||||
\(859\) | −5.01199 | + | 34.8591i | −0.171007 | + | 1.18938i | 0.705756 | + | 0.708455i | \(0.250607\pi\) |
−0.876763 | + | 0.480923i | \(0.840302\pi\) | |||||||
\(860\) | 4.42003 | − | 0.764917i | 0.150722 | − | 0.0260835i | ||||
\(861\) | 4.09307 | + | 10.5130i | 0.139491 | + | 0.358281i | ||||
\(862\) | 1.89330 | − | 0.108263i | 0.0644861 | − | 0.00368745i | ||||
\(863\) | 25.3516 | − | 37.0755i | 0.862977 | − | 1.26206i | −0.100679 | − | 0.994919i | \(-0.532101\pi\) |
0.963656 | − | 0.267145i | \(-0.0860803\pi\) | |||||||
\(864\) | 3.04089 | − | 0.348910i | 0.103453 | − | 0.0118701i | ||||
\(865\) | 3.82612 | + | 0.889727i | 0.130092 | + | 0.0302516i | ||||
\(866\) | −28.0100 | + | 15.8179i | −0.951817 | + | 0.537516i | ||||
\(867\) | −15.0667 | − | 6.36725i | −0.511693 | − | 0.216243i | ||||
\(868\) | 22.9212 | − | 6.73028i | 0.777998 | − | 0.228441i | ||||
\(869\) | 25.6920 | + | 23.1340i | 0.871541 | + | 0.784767i | ||||
\(870\) | −2.04241 | − | 0.599706i | −0.0692443 | − | 0.0203320i | ||||
\(871\) | 3.01609 | + | 2.46624i | 0.102196 | + | 0.0835654i | ||||
\(872\) | 1.33958 | − | 6.61111i | 0.0453641 | − | 0.223880i | ||||
\(873\) | −0.967403 | + | 2.48475i | −0.0327416 | + | 0.0840962i | ||||
\(874\) | 1.13869 | − | 3.50452i | 0.0385166 | − | 0.118542i | ||||
\(875\) | 28.5643 | + | 4.94324i | 0.965649 | + | 0.167112i | ||||
\(876\) | 0.0832409 | + | 0.410810i | 0.00281245 | + | 0.0138800i | ||||
\(877\) | 12.1190 | − | 22.9681i | 0.409230 | − | 0.775576i | −0.590270 | − | 0.807206i | \(-0.700979\pi\) |
0.999500 | + | 0.0316295i | \(0.0100697\pi\) | |||||||
\(878\) | 1.82796 | − | 0.898746i | 0.0616906 | − | 0.0303312i | ||||
\(879\) | 1.41300 | + | 3.09404i | 0.0476594 | + | 0.104360i | ||||
\(880\) | 4.44719 | + | 1.82979i | 0.149915 | + | 0.0616823i | ||||
\(881\) | 1.26604 | − | 2.77225i | 0.0426541 | − | 0.0933995i | −0.887105 | − | 0.461567i | \(-0.847287\pi\) |
0.929760 | + | 0.368167i | \(0.120015\pi\) | |||||||
\(882\) | 0.0458165 | + | 1.60379i | 0.00154272 | + | 0.0540023i | ||||
\(883\) | −17.0099 | + | 17.5028i | −0.572428 | + | 0.589015i | −0.940082 | − | 0.340948i | \(-0.889252\pi\) |
0.367654 | + | 0.929963i | \(0.380161\pi\) | |||||||
\(884\) | −13.4651 | − | 13.8553i | −0.452881 | − | 0.466004i | ||||
\(885\) | −0.241998 | + | 8.47104i | −0.00813468 | + | 0.284751i | ||||
\(886\) | 12.1344 | + | 5.96606i | 0.407662 | + | 0.200434i | ||||
\(887\) | −14.9109 | + | 10.8334i | −0.500658 | + | 0.363749i | −0.809268 | − | 0.587439i | \(-0.800136\pi\) |
0.308610 | + | 0.951189i | \(0.400136\pi\) | |||||||
\(888\) | 0.498084 | + | 5.79909i | 0.0167146 | + | 0.194605i | ||||
\(889\) | 9.35920 | − | 35.6061i | 0.313898 | − | 1.19419i | ||||
\(890\) | −19.3469 | + | 12.4335i | −0.648511 | + | 0.416773i | ||||
\(891\) | −3.27010 | − | 21.3050i | −0.109553 | − | 0.713744i | ||||
\(892\) | −3.87025 | − | 2.48726i | −0.129585 | − | 0.0832795i | ||||
\(893\) | 9.97926 | − | 9.15888i | 0.333943 | − | 0.306490i | ||||
\(894\) | 0.628121 | − | 0.146063i | 0.0210075 | − | 0.00488508i | ||||
\(895\) | 9.76870 | − | 3.48547i | 0.326532 | − | 0.116506i | ||||
\(896\) | −0.643559 | − | 2.44835i | −0.0214998 | − | 0.0817937i | ||||
\(897\) | −2.58946 | − | 2.37658i | −0.0864595 | − | 0.0793518i | ||||
\(898\) | 15.4197 | + | 8.70790i | 0.514562 | + | 0.290586i | ||||
\(899\) | 15.7898 | + | 20.4765i | 0.526618 | + | 0.682931i | ||||
\(900\) | −4.43721 | − | 6.48922i | −0.147907 | − | 0.216307i | ||||
\(901\) | −24.5318 | − | 28.3112i | −0.817274 | − | 0.943184i | ||||
\(902\) | 22.1634 | − | 16.4267i | 0.737960 | − | 0.546948i | ||||
\(903\) | 2.74786 | − | 3.17119i | 0.0914429 | − | 0.105531i | ||||
\(904\) | −16.8475 | − | 1.93307i | −0.560340 | − | 0.0642930i | ||||
\(905\) | −34.0699 | − | 12.1561i | −1.13252 | − | 0.404082i | ||||
\(906\) | −0.404770 | + | 4.71265i | −0.0134476 | + | 0.156567i | ||||
\(907\) | 1.96843 | + | 3.26428i | 0.0653607 | + | 0.108389i | 0.887313 | − | 0.461168i | \(-0.152569\pi\) |
−0.821952 | + | 0.569557i | \(0.807115\pi\) | |||||||
\(908\) | −3.95108 | − | 6.55213i | −0.131121 | − | 0.217440i | ||||
\(909\) | −1.61044 | + | 18.7500i | −0.0534149 | + | 0.621898i | ||||
\(910\) | −9.68827 | − | 3.45677i | −0.321163 | − | 0.114591i | ||||
\(911\) | 49.2933 | + | 5.65588i | 1.63316 | + | 0.187388i | 0.881507 | − | 0.472171i | \(-0.156529\pi\) |
0.751653 | + | 0.659558i | \(0.229257\pi\) | |||||||
\(912\) | 0.552297 | − | 0.637385i | 0.0182884 | − | 0.0211059i | ||||
\(913\) | −41.8666 | − | 23.1213i | −1.38558 | − | 0.765202i | ||||
\(914\) | −13.6351 | − | 15.7358i | −0.451010 | − | 0.520493i | ||||
\(915\) | 2.81713 | + | 4.11993i | 0.0931316 | + | 0.136201i | ||||
\(916\) | 14.6084 | + | 18.9445i | 0.482674 | + | 0.625943i | ||||
\(917\) | −0.447753 | − | 0.252858i | −0.0147861 | − | 0.00835010i | ||||
\(918\) | 15.5467 | + | 14.2686i | 0.513117 | + | 0.470934i | ||||
\(919\) | −0.162104 | − | 0.616706i | −0.00534730 | − | 0.0203433i | 0.964420 | − | 0.264376i | \(-0.0851660\pi\) |
−0.969767 | + | 0.244033i | \(0.921530\pi\) | |||||||
\(920\) | 3.19675 | − | 1.14060i | 0.105394 | − | 0.0376044i | ||||
\(921\) | 8.46079 | − | 1.96747i | 0.278793 | − | 0.0648304i | ||||
\(922\) | −6.25140 | + | 5.73748i | −0.205879 | + | 0.188954i | ||||
\(923\) | 17.3302 | + | 11.1374i | 0.570429 | + | 0.366593i | ||||
\(924\) | 4.30395 | − | 1.30830i | 0.141590 | − | 0.0430399i | ||||
\(925\) | 26.4820 | − | 17.0189i | 0.870722 | − | 0.559579i | ||||
\(926\) | −3.71889 | + | 14.1481i | −0.122210 | + | 0.464936i | ||||
\(927\) | 2.08594 | + | 24.2862i | 0.0685113 | + | 0.797662i | ||||
\(928\) | 2.21681 | − | 1.61060i | 0.0727703 | − | 0.0528707i | ||||
\(929\) | 32.1772 | + | 15.8205i | 1.05570 | + | 0.519053i | 0.884672 | − | 0.466213i | \(-0.154382\pi\) |
0.171028 | + | 0.985266i | \(0.445291\pi\) | |||||||
\(930\) | −0.209336 | + | 7.32772i | −0.00686440 | + | 0.240286i | ||||
\(931\) | 0.648813 | + | 0.667612i | 0.0212640 | + | 0.0218801i | ||||
\(932\) | −3.21096 | + | 3.30400i | −0.105178 | + | 0.108226i | ||||
\(933\) | −0.203484 | − | 7.12287i | −0.00666176 | − | 0.233192i | ||||
\(934\) | −16.4298 | + | 35.9762i | −0.537598 | + | 1.17718i | ||||
\(935\) | 10.5441 | + | 31.4320i | 0.344829 | + | 1.02794i | ||||
\(936\) | 3.15834 | + | 6.91579i | 0.103233 | + | 0.226050i | ||||
\(937\) | −13.1187 | + | 6.45001i | −0.428568 | + | 0.210713i | −0.642742 | − | 0.766083i | \(-0.722203\pi\) |
0.214174 | + | 0.976796i | \(0.431294\pi\) | |||||||
\(938\) | −1.64239 | + | 3.11268i | −0.0536261 | + | 0.101633i | ||||
\(939\) | −2.62580 | − | 12.9589i | −0.0856899 | − | 0.422896i | ||||
\(940\) | 12.2937 | + | 2.12751i | 0.400976 | + | 0.0693917i | ||||
\(941\) | −16.7346 | + | 51.5040i | −0.545534 | + | 1.67898i | 0.174183 | + | 0.984713i | \(0.444272\pi\) |
−0.719717 | + | 0.694268i | \(0.755728\pi\) | |||||||
\(942\) | −0.992992 | + | 2.55048i | −0.0323534 | + | 0.0830991i | ||||
\(943\) | 3.86676 | − | 19.0832i | 0.125919 | − | 0.621435i | ||||
\(944\) | −8.44507 | − | 6.90550i | −0.274864 | − | 0.224755i | ||||
\(945\) | 10.7799 | + | 3.16527i | 0.350670 | + | 0.102966i | ||||
\(946\) | −9.25058 | − | 4.43956i | −0.300762 | − | 0.144343i | ||||
\(947\) | 49.1370 | − | 14.4279i | 1.59674 | − | 0.468844i | 0.642101 | − | 0.766620i | \(-0.278063\pi\) |
0.954636 | + | 0.297776i | \(0.0962447\pi\) | |||||||
\(948\) | 5.14438 | + | 2.17404i | 0.167082 | + | 0.0706094i | ||||
\(949\) | −1.90908 | + | 1.07811i | −0.0619714 | + | 0.0349968i | ||||
\(950\) | −4.44279 | − | 1.03313i | −0.144143 | − | 0.0335191i | ||||
\(951\) | −15.5242 | + | 1.78123i | −0.503406 | + | 0.0577604i | ||||
\(952\) | 9.85107 | − | 14.4067i | 0.319275 | − | 0.466925i | ||||
\(953\) | 30.9452 | − | 1.76951i | 1.00241 | − | 0.0573201i | 0.451834 | − | 0.892102i | \(-0.350770\pi\) |
0.550581 | + | 0.834782i | \(0.314406\pi\) | |||||||
\(954\) | 5.34832 | + | 13.7370i | 0.173158 | + | 0.444753i | ||||
\(955\) | −9.41760 | + | 1.62978i | −0.304746 | + | 0.0527384i | ||||
\(956\) | −1.14981 | + | 7.99712i | −0.0371876 | + | 0.258645i | ||||
\(957\) | 3.00980 | + | 3.82741i | 0.0972930 | + | 0.123723i | ||||
\(958\) | 4.97529 | + | 34.6039i | 0.160744 | + | 1.11800i | ||||
\(959\) | 5.27996 | + | 16.2501i | 0.170499 | + | 0.524742i | ||||
\(960\) | 0.775573 | + | 0.0443489i | 0.0250315 | + | 0.00143135i | ||||
\(961\) | 35.4476 | − | 45.9692i | 1.14347 | − | 1.48288i | ||||
\(962\) | −28.0432 | + | 11.8512i | −0.904149 | + | 0.382097i | ||||
\(963\) | 31.0932 | − | 25.4248i | 1.00196 | − | 0.819302i | ||||
\(964\) | −3.80178 | − | 7.20517i | −0.122447 | − | 0.232063i | ||||
\(965\) | −2.37327 | − | 1.72428i | −0.0763984 | − | 0.0555067i | ||||
\(966\) | 1.63955 | − | 2.71889i | 0.0527517 | − | 0.0874788i | ||||
\(967\) | −33.6172 | −1.08105 | −0.540527 | − | 0.841326i | \(-0.681775\pi\) | ||||
−0.540527 | + | 0.841326i | \(0.681775\pi\) | |||||||
\(968\) | −5.85835 | − | 9.31020i | −0.188294 | − | 0.299241i | ||||
\(969\) | 5.81441 | 0.186786 | ||||||||
\(970\) | −0.735909 | + | 1.22037i | −0.0236286 | + | 0.0391837i | ||||
\(971\) | 18.1224 | + | 13.1667i | 0.581575 | + | 0.422539i | 0.839292 | − | 0.543682i | \(-0.182970\pi\) |
−0.257716 | + | 0.966221i | \(0.582970\pi\) | |||||||
\(972\) | −5.91010 | − | 11.2009i | −0.189566 | − | 0.359268i | ||||
\(973\) | −23.0490 | + | 18.8471i | −0.738919 | + | 0.604211i | ||||
\(974\) | −18.0943 | + | 7.64672i | −0.579779 | + | 0.245017i | ||||
\(975\) | −2.65678 | + | 3.44537i | −0.0850849 | + | 0.110340i | ||||
\(976\) | −6.41427 | − | 0.366781i | −0.205316 | − | 0.0117404i | ||||
\(977\) | −3.47026 | − | 10.6804i | −0.111023 | − | 0.341695i | 0.880073 | − | 0.474838i | \(-0.157493\pi\) |
−0.991097 | + | 0.133143i | \(0.957493\pi\) | |||||||
\(978\) | 0.666339 | + | 4.63449i | 0.0213072 | + | 0.148195i | ||||
\(979\) | 52.5459 | + | 2.50403i | 1.67937 | + | 0.0800291i | ||||
\(980\) | −0.122035 | + | 0.848769i | −0.00389825 | + | 0.0271129i | ||||
\(981\) | −18.0321 | + | 3.12057i | −0.575719 | + | 0.0996321i | ||||
\(982\) | −5.57672 | − | 14.3237i | −0.177960 | − | 0.457087i | ||||
\(983\) | 21.9746 | − | 1.25655i | 0.700882 | − | 0.0400779i | 0.296985 | − | 0.954882i | \(-0.404019\pi\) |
0.403897 | + | 0.914804i | \(0.367655\pi\) | |||||||
\(984\) | 2.51543 | − | 3.67869i | 0.0801888 | − | 0.117272i | ||||
\(985\) | −28.3553 | + | 3.25346i | −0.903474 | + | 0.103664i | ||||
\(986\) | 18.3999 | + | 4.27872i | 0.585973 | + | 0.136262i | ||||
\(987\) | 10.1623 | − | 5.73894i | 0.323471 | − | 0.182672i | ||||
\(988\) | 4.06346 | + | 1.71723i | 0.129276 | + | 0.0546325i | ||||
\(989\) | −6.94869 | + | 2.04032i | −0.220955 | + | 0.0648784i | ||||
\(990\) | 0.248624 | − | 13.0440i | 0.00790180 | − | 0.414564i | ||||
\(991\) | −14.3398 | − | 4.21053i | −0.455517 | − | 0.133752i | 0.0459215 | − | 0.998945i | \(-0.485378\pi\) |
−0.501439 | + | 0.865193i | \(0.667196\pi\) | |||||||
\(992\) | −7.30525 | − | 5.97348i | −0.231942 | − | 0.189658i | ||||
\(993\) | 2.49036 | − | 12.2904i | 0.0790292 | − | 0.390025i | ||||
\(994\) | −6.75148 | + | 17.3410i | −0.214144 | + | 0.550024i | ||||
\(995\) | −8.51812 | + | 26.2161i | −0.270042 | + | 0.831105i | ||||
\(996\) | −7.61286 | − | 1.31746i | −0.241223 | − | 0.0417452i | ||||
\(997\) | −6.18817 | − | 30.5398i | −0.195981 | − | 0.967205i | −0.950452 | − | 0.310872i | \(-0.899379\pi\) |
0.754471 | − | 0.656334i | \(-0.227894\pi\) | |||||||
\(998\) | −16.1223 | + | 30.5551i | −0.510342 | + | 0.967206i | ||||
\(999\) | 29.8402 | − | 14.6714i | 0.944101 | − | 0.464183i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 242.2.g.a.5.2 | ✓ | 200 | |
121.97 | even | 55 | inner | 242.2.g.a.97.2 | yes | 200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
242.2.g.a.5.2 | ✓ | 200 | 1.1 | even | 1 | trivial | |
242.2.g.a.97.2 | yes | 200 | 121.97 | even | 55 | inner |