Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(7,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.w (of order \(44\), degree \(20\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 37.3 | ||
Character | \(\chi\) | \(=\) | 690.37 |
Dual form | 690.2.w.b.373.3 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{21}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.877679 | − | 0.479249i | −0.620613 | − | 0.338880i | ||||
\(3\) | 0.997452 | + | 0.0713392i | 0.575879 | + | 0.0411877i | ||||
\(4\) | 0.540641 | + | 0.841254i | 0.270320 | + | 0.420627i | ||||
\(5\) | 0.217321 | − | 2.22548i | 0.0971889 | − | 0.995266i | ||||
\(6\) | −0.841254 | − | 0.540641i | −0.343440 | − | 0.220716i | ||||
\(7\) | 0.154967 | + | 0.415484i | 0.0585722 | + | 0.157038i | 0.962940 | − | 0.269716i | \(-0.0869298\pi\) |
−0.904368 | + | 0.426754i | \(0.859657\pi\) | |||||||
\(8\) | −0.0713392 | − | 0.997452i | −0.0252222 | − | 0.352653i | ||||
\(9\) | 0.989821 | + | 0.142315i | 0.329940 | + | 0.0474383i | ||||
\(10\) | −1.25730 | + | 1.84911i | −0.397593 | + | 0.584739i | ||||
\(11\) | 0.217319 | − | 0.740121i | 0.0655242 | − | 0.223155i | −0.920221 | − | 0.391399i | \(-0.871991\pi\) |
0.985745 | + | 0.168244i | \(0.0538096\pi\) | |||||||
\(12\) | 0.479249 | + | 0.877679i | 0.138347 | + | 0.253364i | ||||
\(13\) | 4.23690 | + | 1.58028i | 1.17510 | + | 0.438291i | 0.859766 | − | 0.510688i | \(-0.170609\pi\) |
0.315338 | + | 0.948979i | \(0.397882\pi\) | |||||||
\(14\) | 0.0631085 | − | 0.438929i | 0.0168665 | − | 0.117309i | ||||
\(15\) | 0.375531 | − | 2.20431i | 0.0969618 | − | 0.569150i | ||||
\(16\) | −0.415415 | + | 0.909632i | −0.103854 | + | 0.227408i | ||||
\(17\) | −1.50898 | + | 0.328258i | −0.365981 | + | 0.0796142i | −0.391795 | − | 0.920053i | \(-0.628146\pi\) |
0.0258144 | + | 0.999667i | \(0.491782\pi\) | |||||||
\(18\) | −0.800541 | − | 0.599278i | −0.188689 | − | 0.141251i | ||||
\(19\) | 3.34480 | − | 2.14957i | 0.767349 | − | 0.493146i | −0.0974639 | − | 0.995239i | \(-0.531073\pi\) |
0.864813 | + | 0.502093i | \(0.167437\pi\) | |||||||
\(20\) | 1.98969 | − | 1.02036i | 0.444908 | − | 0.228160i | ||||
\(21\) | 0.124932 | + | 0.425480i | 0.0272625 | + | 0.0928475i | ||||
\(22\) | −0.545439 | + | 0.545439i | −0.116288 | + | 0.116288i | ||||
\(23\) | 0.698428 | − | 4.74470i | 0.145632 | − | 0.989339i | ||||
\(24\) | − | 1.00000i | − | 0.204124i | ||||||
\(25\) | −4.90554 | − | 0.967288i | −0.981109 | − | 0.193458i | ||||
\(26\) | −2.96129 | − | 3.41751i | −0.580757 | − | 0.670229i | ||||
\(27\) | 0.977147 | + | 0.212565i | 0.188052 | + | 0.0409082i | ||||
\(28\) | −0.265746 | + | 0.354994i | −0.0502212 | + | 0.0670876i | ||||
\(29\) | 1.04783 | − | 1.63045i | 0.194577 | − | 0.302767i | −0.730232 | − | 0.683199i | \(-0.760588\pi\) |
0.924809 | + | 0.380432i | \(0.124225\pi\) | |||||||
\(30\) | −1.38601 | + | 1.75470i | −0.253049 | + | 0.320363i | ||||
\(31\) | 0.0423632 | − | 0.0488897i | 0.00760865 | − | 0.00878085i | −0.751932 | − | 0.659240i | \(-0.770878\pi\) |
0.759541 | + | 0.650459i | \(0.225424\pi\) | |||||||
\(32\) | 0.800541 | − | 0.599278i | 0.141517 | − | 0.105938i | ||||
\(33\) | 0.269565 | − | 0.722732i | 0.0469252 | − | 0.125811i | ||||
\(34\) | 1.48171 | + | 0.435070i | 0.254112 | + | 0.0746140i | ||||
\(35\) | 0.958330 | − | 0.254584i | 0.161987 | − | 0.0430325i | ||||
\(36\) | 0.415415 | + | 0.909632i | 0.0692358 | + | 0.151605i | ||||
\(37\) | −1.25044 | − | 1.67039i | −0.205571 | − | 0.274610i | 0.685893 | − | 0.727702i | \(-0.259412\pi\) |
−0.891464 | + | 0.453092i | \(0.850321\pi\) | |||||||
\(38\) | −3.96584 | + | 0.283642i | −0.643344 | + | 0.0460129i | ||||
\(39\) | 4.11337 | + | 1.87851i | 0.658666 | + | 0.300803i | ||||
\(40\) | −2.23532 | − | 0.0580032i | −0.353434 | − | 0.00917112i | ||||
\(41\) | −0.905161 | − | 6.29553i | −0.141362 | − | 0.983197i | −0.929795 | − | 0.368077i | \(-0.880016\pi\) |
0.788433 | − | 0.615121i | \(-0.210893\pi\) | |||||||
\(42\) | 0.0942606 | − | 0.433309i | 0.0145447 | − | 0.0668610i | ||||
\(43\) | −0.391721 | + | 5.47698i | −0.0597369 | + | 0.835231i | 0.875951 | + | 0.482401i | \(0.160235\pi\) |
−0.935687 | + | 0.352830i | \(0.885219\pi\) | |||||||
\(44\) | 0.740121 | − | 0.217319i | 0.111577 | − | 0.0327621i | ||||
\(45\) | 0.531828 | − | 2.17190i | 0.0792803 | − | 0.323768i | ||||
\(46\) | −2.88689 | + | 3.82960i | −0.425649 | + | 0.564644i | ||||
\(47\) | 2.50355 | + | 2.50355i | 0.365180 | + | 0.365180i | 0.865716 | − | 0.500536i | \(-0.166864\pi\) |
−0.500536 | + | 0.865716i | \(0.666864\pi\) | |||||||
\(48\) | −0.479249 | + | 0.877679i | −0.0691736 | + | 0.126682i | ||||
\(49\) | 5.14164 | − | 4.45525i | 0.734519 | − | 0.636465i | ||||
\(50\) | 3.84192 | + | 3.19995i | 0.543330 | + | 0.452541i | ||||
\(51\) | −1.52855 | + | 0.219772i | −0.214040 | + | 0.0307743i | ||||
\(52\) | 0.961223 | + | 4.41867i | 0.133298 | + | 0.612759i | ||||
\(53\) | 0.514249 | − | 0.191805i | 0.0706375 | − | 0.0263464i | −0.313897 | − | 0.949457i | \(-0.601635\pi\) |
0.384535 | + | 0.923111i | \(0.374362\pi\) | |||||||
\(54\) | −0.755750 | − | 0.654861i | −0.102844 | − | 0.0891153i | ||||
\(55\) | −1.59990 | − | 0.644484i | −0.215730 | − | 0.0869022i | ||||
\(56\) | 0.403370 | − | 0.184213i | 0.0539026 | − | 0.0246165i | ||||
\(57\) | 3.48963 | − | 1.90548i | 0.462212 | − | 0.252387i | ||||
\(58\) | −1.70105 | + | 0.928842i | −0.223359 | + | 0.121963i | ||||
\(59\) | 6.40903 | − | 2.92691i | 0.834385 | − | 0.381051i | 0.0480454 | − | 0.998845i | \(-0.484701\pi\) |
0.786340 | + | 0.617794i | \(0.211974\pi\) | |||||||
\(60\) | 2.05741 | − | 0.875822i | 0.265610 | − | 0.113068i | ||||
\(61\) | −4.00167 | − | 3.46746i | −0.512361 | − | 0.443963i | 0.359910 | − | 0.932987i | \(-0.382808\pi\) |
−0.872270 | + | 0.489024i | \(0.837353\pi\) | |||||||
\(62\) | −0.0606116 | + | 0.0226070i | −0.00769768 | + | 0.00287109i | ||||
\(63\) | 0.0942606 | + | 0.433309i | 0.0118757 | + | 0.0545918i | ||||
\(64\) | −0.989821 | + | 0.142315i | −0.123728 | + | 0.0177894i | ||||
\(65\) | 4.43766 | − | 9.08572i | 0.550424 | − | 1.12694i | ||||
\(66\) | −0.582960 | + | 0.505138i | −0.0717574 | + | 0.0621782i | ||||
\(67\) | −6.22762 | + | 11.4050i | −0.760825 | + | 1.39335i | 0.153409 | + | 0.988163i | \(0.450975\pi\) |
−0.914235 | + | 0.405185i | \(0.867207\pi\) | |||||||
\(68\) | −1.09196 | − | 1.09196i | −0.132420 | − | 0.132420i | ||||
\(69\) | 1.03513 | − | 4.68279i | 0.124615 | − | 0.563741i | ||||
\(70\) | −0.963115 | − | 0.235836i | −0.115114 | − | 0.0281877i | ||||
\(71\) | 4.42946 | − | 1.30061i | 0.525681 | − | 0.154354i | −0.00811539 | − | 0.999967i | \(-0.502583\pi\) |
0.533796 | + | 0.845613i | \(0.320765\pi\) | |||||||
\(72\) | 0.0713392 | − | 0.997452i | 0.00840740 | − | 0.117551i | ||||
\(73\) | 0.0554481 | − | 0.254891i | 0.00648971 | − | 0.0298327i | −0.973788 | − | 0.227457i | \(-0.926959\pi\) |
0.980278 | + | 0.197624i | \(0.0633226\pi\) | |||||||
\(74\) | 0.296950 | + | 2.06534i | 0.0345198 | + | 0.240090i | ||||
\(75\) | −4.82404 | − | 1.31478i | −0.557032 | − | 0.151818i | ||||
\(76\) | 3.61667 | + | 1.65168i | 0.414860 | + | 0.189460i | ||||
\(77\) | 0.341186 | − | 0.0244021i | 0.0388817 | − | 0.00278087i | ||||
\(78\) | −2.70994 | − | 3.62006i | −0.306840 | − | 0.409891i | ||||
\(79\) | −0.951318 | − | 2.08310i | −0.107032 | − | 0.234367i | 0.848537 | − | 0.529137i | \(-0.177484\pi\) |
−0.955568 | + | 0.294770i | \(0.904757\pi\) | |||||||
\(80\) | 1.93409 | + | 1.12218i | 0.216238 | + | 0.125464i | ||||
\(81\) | 0.959493 | + | 0.281733i | 0.106610 | + | 0.0313036i | ||||
\(82\) | −2.22269 | + | 5.95926i | −0.245455 | + | 0.658090i | ||||
\(83\) | 1.14584 | − | 0.857764i | 0.125772 | − | 0.0941518i | −0.534540 | − | 0.845143i | \(-0.679515\pi\) |
0.660312 | + | 0.750992i | \(0.270424\pi\) | |||||||
\(84\) | −0.290393 | + | 0.335132i | −0.0316845 | + | 0.0365659i | ||||
\(85\) | 0.402599 | + | 3.42954i | 0.0436680 | + | 0.371986i | ||||
\(86\) | 2.96864 | − | 4.61930i | 0.320117 | − | 0.498111i | ||||
\(87\) | 1.16147 | − | 1.55155i | 0.124523 | − | 0.166343i | ||||
\(88\) | −0.753738 | − | 0.163966i | −0.0803488 | − | 0.0174788i | ||||
\(89\) | 0.0940165 | + | 0.108501i | 0.00996573 | + | 0.0115011i | 0.760711 | − | 0.649091i | \(-0.224851\pi\) |
−0.750745 | + | 0.660592i | \(0.770305\pi\) | |||||||
\(90\) | −1.50766 | + | 1.65135i | −0.158921 | + | 0.174068i | ||||
\(91\) | 2.00526i | 0.210208i | ||||||||
\(92\) | 4.36910 | − | 1.97762i | 0.455510 | − | 0.206182i | ||||
\(93\) | 0.0457430 | − | 0.0457430i | 0.00474333 | − | 0.00474333i | ||||
\(94\) | −0.997489 | − | 3.39714i | −0.102883 | − | 0.350388i | ||||
\(95\) | −4.05694 | − | 7.91094i | −0.416233 | − | 0.811645i | ||||
\(96\) | 0.841254 | − | 0.540641i | 0.0858601 | − | 0.0551789i | ||||
\(97\) | −3.98889 | − | 2.98604i | −0.405010 | − | 0.303187i | 0.377282 | − | 0.926098i | \(-0.376859\pi\) |
−0.782292 | + | 0.622912i | \(0.785950\pi\) | |||||||
\(98\) | −6.64788 | + | 1.44616i | −0.671537 | + | 0.146084i | ||||
\(99\) | 0.320437 | − | 0.701660i | 0.0322052 | − | 0.0705195i | ||||
\(100\) | −1.83840 | − | 4.64976i | −0.183840 | − | 0.464976i | ||||
\(101\) | −0.0549269 | + | 0.382025i | −0.00546543 | + | 0.0380129i | −0.992372 | − | 0.123282i | \(-0.960658\pi\) |
0.986906 | + | 0.161295i | \(0.0515671\pi\) | |||||||
\(102\) | 1.44690 | + | 0.539666i | 0.143265 | + | 0.0534349i | ||||
\(103\) | −2.25315 | − | 4.12633i | −0.222009 | − | 0.406579i | 0.742807 | − | 0.669506i | \(-0.233494\pi\) |
−0.964816 | + | 0.262927i | \(0.915312\pi\) | |||||||
\(104\) | 1.27400 | − | 4.33884i | 0.124926 | − | 0.425458i | ||||
\(105\) | 0.974050 | − | 0.185569i | 0.0950575 | − | 0.0181097i | ||||
\(106\) | −0.543268 | − | 0.0781101i | −0.0527668 | − | 0.00758672i | ||||
\(107\) | 0.811651 | + | 11.3484i | 0.0784652 | + | 1.09709i | 0.872306 | + | 0.488961i | \(0.162624\pi\) |
−0.793840 | + | 0.608126i | \(0.791921\pi\) | |||||||
\(108\) | 0.349464 | + | 0.936950i | 0.0336272 | + | 0.0901580i | ||||
\(109\) | 3.50030 | + | 2.24951i | 0.335268 | + | 0.215464i | 0.697432 | − | 0.716651i | \(-0.254326\pi\) |
−0.362164 | + | 0.932114i | \(0.617962\pi\) | |||||||
\(110\) | 1.09533 | + | 1.33240i | 0.104435 | + | 0.127039i | ||||
\(111\) | −1.12809 | − | 1.75534i | −0.107073 | − | 0.166609i | ||||
\(112\) | −0.442313 | − | 0.0316349i | −0.0417947 | − | 0.00298921i | ||||
\(113\) | −12.1855 | − | 6.65376i | −1.14631 | − | 0.625933i | −0.210207 | − | 0.977657i | \(-0.567414\pi\) |
−0.936104 | + | 0.351724i | \(0.885596\pi\) | |||||||
\(114\) | −3.97597 | −0.372384 | ||||||||
\(115\) | −10.4075 | − | 2.58546i | −0.970501 | − | 0.241096i | ||||
\(116\) | 1.93812 | 0.179950 | ||||||||
\(117\) | 3.96888 | + | 2.16717i | 0.366923 | + | 0.200355i | ||||
\(118\) | −7.02779 | − | 0.502638i | −0.646961 | − | 0.0462715i | ||||
\(119\) | −0.370228 | − | 0.576086i | −0.0339387 | − | 0.0528097i | ||||
\(120\) | −2.22548 | − | 0.217321i | −0.203158 | − | 0.0198386i | ||||
\(121\) | 8.75324 | + | 5.62536i | 0.795749 | + | 0.511397i | ||||
\(122\) | 1.85040 | + | 4.96111i | 0.167527 | + | 0.449158i | ||||
\(123\) | −0.453737 | − | 6.34407i | −0.0409121 | − | 0.572025i | ||||
\(124\) | 0.0640319 | + | 0.00920639i | 0.00575023 | + | 0.000826759i | ||||
\(125\) | −3.21876 | + | 10.7070i | −0.287895 | + | 0.957662i | ||||
\(126\) | 0.124932 | − | 0.425480i | 0.0111299 | − | 0.0379048i | ||||
\(127\) | 8.36914 | + | 15.3269i | 0.742641 | + | 1.36005i | 0.926198 | + | 0.377037i | \(0.123057\pi\) |
−0.183557 | + | 0.983009i | \(0.558761\pi\) | |||||||
\(128\) | 0.936950 | + | 0.349464i | 0.0828154 | + | 0.0308886i | ||||
\(129\) | −0.781446 | + | 5.43508i | −0.0688025 | + | 0.478532i | ||||
\(130\) | −8.24916 | + | 5.84760i | −0.723499 | + | 0.512868i | ||||
\(131\) | −3.23360 | + | 7.08059i | −0.282521 | + | 0.618634i | −0.996686 | − | 0.0813431i | \(-0.974079\pi\) |
0.714166 | + | 0.699977i | \(0.246806\pi\) | |||||||
\(132\) | 0.753738 | − | 0.163966i | 0.0656045 | − | 0.0142714i | ||||
\(133\) | 1.41145 | + | 1.05660i | 0.122388 | + | 0.0916185i | ||||
\(134\) | 10.9317 | − | 7.02538i | 0.944356 | − | 0.606901i | ||||
\(135\) | 0.685415 | − | 2.12843i | 0.0589911 | − | 0.183186i | ||||
\(136\) | 0.435070 | + | 1.48171i | 0.0373070 | + | 0.127056i | ||||
\(137\) | −15.7367 | + | 15.7367i | −1.34448 | + | 1.34448i | −0.452928 | + | 0.891547i | \(0.649621\pi\) |
−0.891547 | + | 0.452928i | \(0.850379\pi\) | |||||||
\(138\) | −3.15273 | + | 3.61390i | −0.268379 | + | 0.307635i | ||||
\(139\) | − | 8.24745i | − | 0.699540i | −0.936836 | − | 0.349770i | \(-0.886260\pi\) | ||
0.936836 | − | 0.349770i | \(-0.113740\pi\) | |||||||
\(140\) | 0.732282 | + | 0.668560i | 0.0618891 | + | 0.0565036i | ||||
\(141\) | 2.31857 | + | 2.67577i | 0.195259 | + | 0.225341i | ||||
\(142\) | −4.51096 | − | 0.981300i | −0.378551 | − | 0.0823488i | ||||
\(143\) | 2.09036 | − | 2.79239i | 0.174805 | − | 0.233512i | ||||
\(144\) | −0.540641 | + | 0.841254i | −0.0450534 | + | 0.0701045i | ||||
\(145\) | −3.40082 | − | 2.68625i | −0.282423 | − | 0.223081i | ||||
\(146\) | −0.170822 | + | 0.197139i | −0.0141373 | + | 0.0163153i | ||||
\(147\) | 5.44637 | − | 4.07710i | 0.449209 | − | 0.336274i | ||||
\(148\) | 0.729183 | − | 1.95501i | 0.0599385 | − | 0.160701i | ||||
\(149\) | −2.80231 | − | 0.822833i | −0.229574 | − | 0.0674091i | 0.164922 | − | 0.986307i | \(-0.447263\pi\) |
−0.394496 | + | 0.918897i | \(0.629081\pi\) | |||||||
\(150\) | 3.60385 | + | 3.46587i | 0.294253 | + | 0.282987i | ||||
\(151\) | 5.96976 | + | 13.0719i | 0.485812 | + | 1.06378i | 0.980824 | + | 0.194894i | \(0.0624362\pi\) |
−0.495012 | + | 0.868886i | \(0.664837\pi\) | |||||||
\(152\) | −2.38271 | − | 3.18293i | −0.193263 | − | 0.258170i | ||||
\(153\) | −1.54033 | + | 0.110167i | −0.124529 | + | 0.00890646i | ||||
\(154\) | −0.311146 | − | 0.142096i | −0.0250729 | − | 0.0114504i | ||||
\(155\) | −0.0995967 | − | 0.104903i | −0.00799980 | − | 0.00842603i | ||||
\(156\) | 0.643550 | + | 4.47599i | 0.0515252 | + | 0.358366i | ||||
\(157\) | −0.257391 | + | 1.18321i | −0.0205421 | + | 0.0944303i | −0.986277 | − | 0.165102i | \(-0.947205\pi\) |
0.965734 | + | 0.259532i | \(0.0835684\pi\) | |||||||
\(158\) | −0.163370 | + | 2.28421i | −0.0129970 | + | 0.181722i | ||||
\(159\) | 0.526622 | − | 0.154630i | 0.0417638 | − | 0.0122630i | ||||
\(160\) | −1.15971 | − | 1.91183i | −0.0916829 | − | 0.151143i | ||||
\(161\) | 2.07958 | − | 0.445089i | 0.163894 | − | 0.0350779i | ||||
\(162\) | −0.707107 | − | 0.707107i | −0.0555556 | − | 0.0555556i | ||||
\(163\) | 1.14876 | − | 2.10379i | 0.0899775 | − | 0.164782i | −0.828815 | − | 0.559523i | \(-0.810984\pi\) |
0.918792 | + | 0.394742i | \(0.129166\pi\) | |||||||
\(164\) | 4.80677 | − | 4.16509i | 0.375346 | − | 0.325239i | ||||
\(165\) | −1.54984 | − | 0.756977i | −0.120655 | − | 0.0589306i | ||||
\(166\) | −1.41676 | + | 0.203699i | −0.109962 | + | 0.0158101i | ||||
\(167\) | 4.51116 | + | 20.7375i | 0.349084 | + | 1.60471i | 0.732252 | + | 0.681034i | \(0.238469\pi\) |
−0.383168 | + | 0.923679i | \(0.625167\pi\) | |||||||
\(168\) | 0.415484 | − | 0.154967i | 0.0320553 | − | 0.0119560i | ||||
\(169\) | 5.62928 | + | 4.87780i | 0.433022 | + | 0.375215i | ||||
\(170\) | 1.29025 | − | 3.20298i | 0.0989576 | − | 0.245657i | ||||
\(171\) | 3.61667 | − | 1.65168i | 0.276574 | − | 0.126307i | ||||
\(172\) | −4.81931 | + | 2.63154i | −0.367469 | + | 0.200653i | ||||
\(173\) | −6.24580 | + | 3.41047i | −0.474860 | + | 0.259293i | −0.698810 | − | 0.715308i | \(-0.746287\pi\) |
0.223950 | + | 0.974601i | \(0.428105\pi\) | |||||||
\(174\) | −1.76298 | + | 0.805124i | −0.133651 | + | 0.0610363i | ||||
\(175\) | −0.358307 | − | 2.18807i | −0.0270855 | − | 0.165403i | ||||
\(176\) | 0.582960 | + | 0.505138i | 0.0439423 | + | 0.0380762i | ||||
\(177\) | 6.60151 | − | 2.46224i | 0.496200 | − | 0.185073i | ||||
\(178\) | −0.0305174 | − | 0.140286i | −0.00228738 | − | 0.0105149i | ||||
\(179\) | −9.73841 | + | 1.40017i | −0.727883 | + | 0.104654i | −0.496287 | − | 0.868158i | \(-0.665304\pi\) |
−0.231596 | + | 0.972812i | \(0.574395\pi\) | |||||||
\(180\) | 2.11465 | − | 0.726817i | 0.157617 | − | 0.0541737i | ||||
\(181\) | −14.1369 | + | 12.2497i | −1.05079 | + | 0.910513i | −0.996121 | − | 0.0879921i | \(-0.971955\pi\) |
−0.0546663 | + | 0.998505i | \(0.517410\pi\) | |||||||
\(182\) | 0.961017 | − | 1.75997i | 0.0712353 | − | 0.130458i | ||||
\(183\) | −3.74410 | − | 3.74410i | −0.276772 | − | 0.276772i | ||||
\(184\) | −4.78244 | − | 0.358166i | −0.352566 | − | 0.0264043i | ||||
\(185\) | −3.98917 | + | 2.41982i | −0.293289 | + | 0.177908i | ||||
\(186\) | −0.0620699 | + | 0.0182254i | −0.00455119 | + | 0.00133635i | ||||
\(187\) | −0.0849790 | + | 1.18816i | −0.00621428 | + | 0.0868870i | ||||
\(188\) | −0.752599 | + | 3.45964i | −0.0548889 | + | 0.252320i | ||||
\(189\) | 0.0631085 | + | 0.438929i | 0.00459047 | + | 0.0319274i | ||||
\(190\) | −0.230619 | + | 8.88755i | −0.0167309 | + | 0.644770i | ||||
\(191\) | 23.4982 | + | 10.7312i | 1.70027 | + | 0.776486i | 0.997907 | + | 0.0646632i | \(0.0205973\pi\) |
0.702359 | + | 0.711822i | \(0.252130\pi\) | |||||||
\(192\) | −0.997452 | + | 0.0713392i | −0.0719849 | + | 0.00514846i | ||||
\(193\) | 8.01574 | + | 10.7078i | 0.576986 | + | 0.770763i | 0.990168 | − | 0.139886i | \(-0.0446735\pi\) |
−0.413182 | + | 0.910649i | \(0.635583\pi\) | |||||||
\(194\) | 2.06990 | + | 4.53246i | 0.148610 | + | 0.325411i | ||||
\(195\) | 5.07452 | − | 8.74599i | 0.363394 | − | 0.626313i | ||||
\(196\) | 6.52777 | + | 1.91673i | 0.466270 | + | 0.136909i | ||||
\(197\) | −5.51283 | + | 14.7805i | −0.392773 | + | 1.05306i | 0.578622 | + | 0.815596i | \(0.303591\pi\) |
−0.971395 | + | 0.237469i | \(0.923682\pi\) | |||||||
\(198\) | −0.617511 | + | 0.462263i | −0.0438846 | + | 0.0328516i | ||||
\(199\) | −13.7033 | + | 15.8144i | −0.971398 | + | 1.12105i | 0.0212200 | + | 0.999775i | \(0.493245\pi\) |
−0.992618 | + | 0.121279i | \(0.961301\pi\) | |||||||
\(200\) | −0.614866 | + | 4.96205i | −0.0434776 | + | 0.350870i | ||||
\(201\) | −7.02538 | + | 10.9317i | −0.495532 | + | 0.771063i | ||||
\(202\) | 0.231293 | − | 0.308972i | 0.0162737 | − | 0.0217392i | ||||
\(203\) | 0.839805 | + | 0.182688i | 0.0589428 | + | 0.0128222i | ||||
\(204\) | −1.01128 | − | 1.16708i | −0.0708038 | − | 0.0817119i | ||||
\(205\) | −14.2073 | + | 0.646268i | −0.992282 | + | 0.0451373i | ||||
\(206\) | 4.70141i | 0.327563i | ||||||||
\(207\) | 1.36656 | − | 4.59701i | 0.0949825 | − | 0.319514i | ||||
\(208\) | −3.19755 | + | 3.19755i | −0.221710 | + | 0.221710i | ||||
\(209\) | −0.864054 | − | 2.94270i | −0.0597679 | − | 0.203551i | ||||
\(210\) | −0.943837 | − | 0.303942i | −0.0651309 | − | 0.0209740i | ||||
\(211\) | 8.28752 | − | 5.32607i | 0.570536 | − | 0.366661i | −0.223340 | − | 0.974741i | \(-0.571696\pi\) |
0.793876 | + | 0.608079i | \(0.208060\pi\) | |||||||
\(212\) | 0.439380 | + | 0.328916i | 0.0301768 | + | 0.0225900i | ||||
\(213\) | 4.51096 | − | 0.981300i | 0.309086 | − | 0.0672375i | ||||
\(214\) | 4.72632 | − | 10.3492i | 0.323085 | − | 0.707457i | ||||
\(215\) | 12.1038 | + | 2.06203i | 0.825471 | + | 0.140629i | ||||
\(216\) | 0.142315 | − | 0.989821i | 0.00968330 | − | 0.0673488i | ||||
\(217\) | 0.0268778 | + | 0.0100249i | 0.00182458 | + | 0.000680534i | ||||
\(218\) | −1.99407 | − | 3.65186i | −0.135055 | − | 0.247335i | ||||
\(219\) | 0.0734905 | − | 0.250286i | 0.00496603 | − | 0.0169127i | ||||
\(220\) | −0.322796 | − | 1.69435i | −0.0217629 | − | 0.114233i | ||||
\(221\) | −6.91212 | − | 0.993813i | −0.464960 | − | 0.0668511i | ||||
\(222\) | 0.148854 | + | 2.08126i | 0.00999046 | + | 0.139685i | ||||
\(223\) | 8.47870 | + | 22.7323i | 0.567776 | + | 1.52227i | 0.830286 | + | 0.557337i | \(0.188177\pi\) |
−0.262510 | + | 0.964929i | \(0.584550\pi\) | |||||||
\(224\) | 0.373048 | + | 0.239743i | 0.0249253 | + | 0.0160185i | ||||
\(225\) | −4.71795 | − | 1.65557i | −0.314530 | − | 0.110372i | ||||
\(226\) | 7.50611 | + | 11.6797i | 0.499299 | + | 0.776924i | ||||
\(227\) | −19.5364 | − | 1.39727i | −1.29667 | − | 0.0927400i | −0.594124 | − | 0.804374i | \(-0.702501\pi\) |
−0.702551 | + | 0.711634i | \(0.747956\pi\) | |||||||
\(228\) | 3.48963 | + | 1.90548i | 0.231106 | + | 0.126193i | ||||
\(229\) | 3.69813 | 0.244379 | 0.122190 | − | 0.992507i | \(-0.461008\pi\) | ||||
0.122190 | + | 0.992507i | \(0.461008\pi\) | |||||||
\(230\) | 7.89533 | + | 7.25698i | 0.520603 | + | 0.478511i | ||||
\(231\) | 0.342057 | 0.0225057 | ||||||||
\(232\) | −1.70105 | − | 0.928842i | −0.111679 | − | 0.0609815i | ||||
\(233\) | −19.9721 | − | 1.42843i | −1.30841 | − | 0.0935796i | −0.600356 | − | 0.799733i | \(-0.704974\pi\) |
−0.708059 | + | 0.706153i | \(0.750429\pi\) | |||||||
\(234\) | −2.44479 | − | 3.80416i | −0.159821 | − | 0.248686i | ||||
\(235\) | 6.11568 | − | 5.02753i | 0.398943 | − | 0.327960i | ||||
\(236\) | 5.92726 | + | 3.80922i | 0.385832 | + | 0.247959i | ||||
\(237\) | −0.800288 | − | 2.14566i | −0.0519843 | − | 0.139375i | ||||
\(238\) | 0.0488527 | + | 0.683050i | 0.00316665 | + | 0.0442756i | ||||
\(239\) | 4.14563 | + | 0.596052i | 0.268159 | + | 0.0385554i | 0.275082 | − | 0.961421i | \(-0.411295\pi\) |
−0.00692388 | + | 0.999976i | \(0.502204\pi\) | |||||||
\(240\) | 1.84911 | + | 1.25730i | 0.119359 | + | 0.0811583i | ||||
\(241\) | 8.10265 | − | 27.5951i | 0.521938 | − | 1.77756i | −0.100555 | − | 0.994931i | \(-0.532062\pi\) |
0.622493 | − | 0.782625i | \(-0.286120\pi\) | |||||||
\(242\) | −4.98658 | − | 9.13224i | −0.320550 | − | 0.587043i | ||||
\(243\) | 0.936950 | + | 0.349464i | 0.0601054 | + | 0.0224181i | ||||
\(244\) | 0.753552 | − | 5.24107i | 0.0482412 | − | 0.335525i | ||||
\(245\) | −8.79770 | − | 12.4108i | −0.562064 | − | 0.792899i | ||||
\(246\) | −2.64215 | + | 5.78551i | −0.168458 | + | 0.368870i | ||||
\(247\) | 17.5685 | − | 3.82179i | 1.11786 | − | 0.243175i | ||||
\(248\) | −0.0517873 | − | 0.0387675i | −0.00328850 | − | 0.00246174i | ||||
\(249\) | 1.20411 | − | 0.773835i | 0.0763074 | − | 0.0490398i | ||||
\(250\) | 7.95635 | − | 7.85471i | 0.503204 | − | 0.496775i | ||||
\(251\) | −2.23750 | − | 7.62024i | −0.141230 | − | 0.480985i | 0.858250 | − | 0.513232i | \(-0.171552\pi\) |
−0.999480 | + | 0.0322468i | \(0.989734\pi\) | |||||||
\(252\) | −0.313562 | + | 0.313562i | −0.0197525 | + | 0.0197525i | ||||
\(253\) | −3.35987 | − | 1.54804i | −0.211233 | − | 0.0973242i | ||||
\(254\) | − | 17.4630i | − | 1.09573i | ||||||
\(255\) | 0.156913 | + | 3.44952i | 0.00982629 | + | 0.216017i | ||||
\(256\) | −0.654861 | − | 0.755750i | −0.0409288 | − | 0.0472343i | ||||
\(257\) | −11.0831 | − | 2.41099i | −0.691346 | − | 0.150393i | −0.146853 | − | 0.989158i | \(-0.546914\pi\) |
−0.544493 | + | 0.838765i | \(0.683278\pi\) | |||||||
\(258\) | 3.29061 | − | 4.39575i | 0.204865 | − | 0.273667i | ||||
\(259\) | 0.500242 | − | 0.778392i | 0.0310835 | − | 0.0483669i | ||||
\(260\) | 10.0426 | − | 1.17891i | 0.622814 | − | 0.0731132i | ||||
\(261\) | 1.26920 | − | 1.46473i | 0.0785615 | − | 0.0906648i | ||||
\(262\) | 6.23142 | − | 4.66478i | 0.384979 | − | 0.288191i | ||||
\(263\) | 1.46000 | − | 3.91442i | 0.0900276 | − | 0.241373i | −0.884131 | − | 0.467240i | \(-0.845249\pi\) |
0.974158 | + | 0.225866i | \(0.0725213\pi\) | |||||||
\(264\) | −0.740121 | − | 0.217319i | −0.0455513 | − | 0.0133751i | ||||
\(265\) | −0.315101 | − | 1.18613i | −0.0193565 | − | 0.0728637i | ||||
\(266\) | −0.732425 | − | 1.60379i | −0.0449079 | − | 0.0983345i | ||||
\(267\) | 0.0860366 | + | 0.114931i | 0.00526535 | + | 0.00703369i | ||||
\(268\) | −12.9614 | + | 0.927020i | −0.791746 | + | 0.0566268i | ||||
\(269\) | −1.91922 | − | 0.876478i | −0.117017 | − | 0.0534398i | 0.356046 | − | 0.934468i | \(-0.384125\pi\) |
−0.473063 | + | 0.881028i | \(0.656852\pi\) | |||||||
\(270\) | −1.62162 | + | 1.53959i | −0.0986887 | + | 0.0936966i | ||||
\(271\) | −2.17932 | − | 15.1575i | −0.132384 | − | 0.920752i | −0.942434 | − | 0.334392i | \(-0.891469\pi\) |
0.810050 | − | 0.586361i | \(-0.199440\pi\) | |||||||
\(272\) | 0.328258 | − | 1.50898i | 0.0199035 | − | 0.0914951i | ||||
\(273\) | −0.143053 | + | 2.00015i | −0.00865798 | + | 0.121054i | ||||
\(274\) | 21.3535 | − | 6.26997i | 1.29001 | − | 0.378782i | ||||
\(275\) | −1.78198 | + | 3.42048i | −0.107457 | + | 0.206263i | ||||
\(276\) | 4.49905 | − | 1.66090i | 0.270811 | − | 0.0999743i | ||||
\(277\) | −18.5544 | − | 18.5544i | −1.11482 | − | 1.11482i | −0.992489 | − | 0.122334i | \(-0.960962\pi\) |
−0.122334 | − | 0.992489i | \(-0.539038\pi\) | |||||||
\(278\) | −3.95258 | + | 7.23861i | −0.237060 | + | 0.434143i | ||||
\(279\) | 0.0488897 | − | 0.0423632i | 0.00292695 | − | 0.00253622i | ||||
\(280\) | −0.322302 | − | 0.937726i | −0.0192612 | − | 0.0560399i | ||||
\(281\) | 5.51422 | − | 0.792825i | 0.328951 | − | 0.0472960i | 0.0241390 | − | 0.999709i | \(-0.492316\pi\) |
0.304812 | + | 0.952413i | \(0.401406\pi\) | |||||||
\(282\) | −0.752599 | − | 3.45964i | −0.0448166 | − | 0.206019i | ||||
\(283\) | −4.20777 | + | 1.56942i | −0.250126 | + | 0.0932922i | −0.471400 | − | 0.881919i | \(-0.656251\pi\) |
0.221274 | + | 0.975212i | \(0.428978\pi\) | |||||||
\(284\) | 3.48889 | + | 3.02314i | 0.207027 | + | 0.179390i | ||||
\(285\) | −3.48224 | − | 8.18020i | −0.206270 | − | 0.484553i | ||||
\(286\) | −3.17291 | + | 1.44902i | −0.187618 | + | 0.0856825i | ||||
\(287\) | 2.47542 | − | 1.35168i | 0.146120 | − | 0.0797873i | ||||
\(288\) | 0.877679 | − | 0.479249i | 0.0517177 | − | 0.0282400i | ||||
\(289\) | −13.2945 | + | 6.07139i | −0.782029 | + | 0.357141i | ||||
\(290\) | 1.69745 | + | 3.98751i | 0.0996776 | + | 0.234155i | ||||
\(291\) | −3.76570 | − | 3.26300i | −0.220749 | − | 0.191280i | ||||
\(292\) | 0.244405 | − | 0.0911584i | 0.0143027 | − | 0.00533464i | ||||
\(293\) | 3.09717 | + | 14.2374i | 0.180938 | + | 0.831761i | 0.974697 | + | 0.223528i | \(0.0717575\pi\) |
−0.793759 | + | 0.608232i | \(0.791879\pi\) | |||||||
\(294\) | −6.73411 | + | 0.968219i | −0.392741 | + | 0.0564677i | ||||
\(295\) | −5.12096 | − | 14.8993i | −0.298154 | − | 0.867469i | ||||
\(296\) | −1.57693 | + | 1.36642i | −0.0916570 | + | 0.0794213i | ||||
\(297\) | 0.369677 | − | 0.677012i | 0.0214508 | − | 0.0392842i | ||||
\(298\) | 2.06519 | + | 2.06519i | 0.119633 | + | 0.119633i | ||||
\(299\) | 10.4571 | − | 18.9991i | 0.604752 | − | 1.09875i | ||||
\(300\) | −1.50201 | − | 4.76906i | −0.0867185 | − | 0.275342i | ||||
\(301\) | −2.33630 | + | 0.685999i | −0.134662 | + | 0.0395403i | ||||
\(302\) | 1.02519 | − | 14.3340i | 0.0589928 | − | 0.824827i | ||||
\(303\) | −0.0820404 | + | 0.377133i | −0.00471310 | + | 0.0216658i | ||||
\(304\) | 0.565840 | + | 3.93550i | 0.0324531 | + | 0.225716i | ||||
\(305\) | −8.58642 | + | 8.15208i | −0.491657 | + | 0.466787i | ||||
\(306\) | 1.40472 | + | 0.641512i | 0.0803022 | + | 0.0366728i | ||||
\(307\) | 29.2590 | − | 2.09265i | 1.66990 | − | 0.119434i | 0.795922 | − | 0.605399i | \(-0.206987\pi\) |
0.873978 | + | 0.485966i | \(0.161532\pi\) | |||||||
\(308\) | 0.204987 | + | 0.273831i | 0.0116802 | + | 0.0156030i | ||||
\(309\) | −1.95304 | − | 4.27655i | −0.111104 | − | 0.243285i | ||||
\(310\) | 0.0371392 | + | 0.139803i | 0.00210936 | + | 0.00794028i | ||||
\(311\) | −16.7687 | − | 4.92374i | −0.950867 | − | 0.279200i | −0.230719 | − | 0.973020i | \(-0.574108\pi\) |
−0.720148 | + | 0.693821i | \(0.755926\pi\) | |||||||
\(312\) | 1.58028 | − | 4.23690i | 0.0894658 | − | 0.239867i | ||||
\(313\) | 4.03374 | − | 3.01962i | 0.228001 | − | 0.170679i | −0.479170 | − | 0.877722i | \(-0.659062\pi\) |
0.707171 | + | 0.707043i | \(0.249971\pi\) | |||||||
\(314\) | 0.792958 | − | 0.915123i | 0.0447492 | − | 0.0516434i | ||||
\(315\) | 0.984806 | − | 0.115608i | 0.0554875 | − | 0.00651378i | ||||
\(316\) | 1.23809 | − | 1.92651i | 0.0696481 | − | 0.108374i | ||||
\(317\) | −1.75404 | + | 2.34312i | −0.0985167 | + | 0.131603i | −0.847091 | − | 0.531448i | \(-0.821648\pi\) |
0.748574 | + | 0.663051i | \(0.230739\pi\) | |||||||
\(318\) | −0.536311 | − | 0.116667i | −0.0300748 | − | 0.00654238i | ||||
\(319\) | −0.979018 | − | 1.12985i | −0.0548145 | − | 0.0632593i | ||||
\(320\) | 0.101610 | + | 2.23376i | 0.00568018 | + | 0.124871i | ||||
\(321\) | 11.3773i | 0.635022i | ||||||||
\(322\) | −2.03851 | − | 0.605992i | −0.113602 | − | 0.0337706i | ||||
\(323\) | −4.34161 | + | 4.34161i | −0.241574 | + | 0.241574i | ||||
\(324\) | 0.281733 | + | 0.959493i | 0.0156518 | + | 0.0533052i | ||||
\(325\) | −19.2557 | − | 11.8504i | −1.06811 | − | 0.657344i | ||||
\(326\) | −2.01648 | + | 1.29591i | −0.111682 | + | 0.0717739i | ||||
\(327\) | 3.33090 | + | 2.49348i | 0.184199 | + | 0.137890i | ||||
\(328\) | −6.21492 | + | 1.35197i | −0.343162 | + | 0.0746502i | ||||
\(329\) | −0.652216 | + | 1.42815i | −0.0359578 | + | 0.0787366i | ||||
\(330\) | 0.997486 | + | 1.40714i | 0.0549098 | + | 0.0774607i | ||||
\(331\) | 2.64232 | − | 18.3778i | 0.145235 | − | 1.01013i | −0.778649 | − | 0.627460i | \(-0.784095\pi\) |
0.923884 | − | 0.382673i | \(-0.124996\pi\) | |||||||
\(332\) | 1.34108 | + | 0.500198i | 0.0736015 | + | 0.0274520i | ||||
\(333\) | −0.999988 | − | 1.83134i | −0.0547990 | − | 0.100357i | ||||
\(334\) | 5.97906 | − | 20.3628i | 0.327159 | − | 1.11420i | ||||
\(335\) | 24.0283 | + | 16.3380i | 1.31281 | + | 0.892642i | ||||
\(336\) | −0.438929 | − | 0.0631085i | −0.0239456 | − | 0.00344285i | ||||
\(337\) | −2.01819 | − | 28.2180i | −0.109938 | − | 1.53713i | −0.690750 | − | 0.723094i | \(-0.742719\pi\) |
0.580812 | − | 0.814038i | \(-0.302735\pi\) | |||||||
\(338\) | −2.60302 | − | 6.97897i | −0.141586 | − | 0.379606i | ||||
\(339\) | −11.6797 | − | 7.50611i | −0.634356 | − | 0.407676i | ||||
\(340\) | −2.66745 | + | 2.19284i | −0.144663 | + | 0.118923i | ||||
\(341\) | −0.0269780 | − | 0.0419785i | −0.00146094 | − | 0.00227326i | ||||
\(342\) | −3.96584 | − | 0.283642i | −0.214448 | − | 0.0153376i | ||||
\(343\) | 5.37228 | + | 2.93348i | 0.290076 | + | 0.158393i | ||||
\(344\) | 5.49097 | 0.296053 | ||||||||
\(345\) | −10.1965 | − | 3.32134i | −0.548961 | − | 0.178815i | ||||
\(346\) | 7.11627 | 0.382573 | ||||||||
\(347\) | −8.05801 | − | 4.40000i | −0.432576 | − | 0.236205i | 0.248181 | − | 0.968714i | \(-0.420167\pi\) |
−0.680757 | + | 0.732509i | \(0.738349\pi\) | |||||||
\(348\) | 1.93318 | + | 0.138264i | 0.103629 | + | 0.00741173i | ||||
\(349\) | 15.1169 | + | 23.5224i | 0.809189 | + | 1.25912i | 0.962591 | + | 0.270959i | \(0.0873409\pi\) |
−0.153401 | + | 0.988164i | \(0.549023\pi\) | |||||||
\(350\) | −0.734153 | + | 2.09214i | −0.0392421 | + | 0.111830i | ||||
\(351\) | 3.80416 | + | 2.44479i | 0.203051 | + | 0.130493i | ||||
\(352\) | −0.269565 | − | 0.722732i | −0.0143679 | − | 0.0385217i | ||||
\(353\) | −2.52923 | − | 35.3632i | −0.134617 | − | 1.88220i | −0.397833 | − | 0.917458i | \(-0.630238\pi\) |
0.263215 | − | 0.964737i | \(-0.415217\pi\) | |||||||
\(354\) | −6.97403 | − | 1.00271i | −0.370665 | − | 0.0532936i | ||||
\(355\) | −1.93186 | − | 10.1403i | −0.102533 | − | 0.538193i | ||||
\(356\) | −0.0404475 | + | 0.137752i | −0.00214372 | + | 0.00730082i | ||||
\(357\) | −0.328187 | − | 0.601030i | −0.0173695 | − | 0.0318099i | ||||
\(358\) | 9.21823 | + | 3.43822i | 0.487199 | + | 0.181716i | ||||
\(359\) | −3.17183 | + | 22.0606i | −0.167403 | + | 1.16431i | 0.716824 | + | 0.697254i | \(0.245595\pi\) |
−0.884227 | + | 0.467058i | \(0.845314\pi\) | |||||||
\(360\) | −2.20431 | − | 0.375531i | −0.116177 | − | 0.0197922i | ||||
\(361\) | −1.32586 | + | 2.90324i | −0.0697823 | + | 0.152802i | ||||
\(362\) | 18.2783 | − | 3.97620i | 0.960687 | − | 0.208985i | ||||
\(363\) | 8.32963 | + | 6.23548i | 0.437192 | + | 0.327278i | ||||
\(364\) | −1.68693 | + | 1.08412i | −0.0884191 | + | 0.0568235i | ||||
\(365\) | −0.555205 | − | 0.178792i | −0.0290607 | − | 0.00935839i | ||||
\(366\) | 1.49176 | + | 5.08048i | 0.0779757 | + | 0.265561i | ||||
\(367\) | 16.5047 | − | 16.5047i | 0.861539 | − | 0.861539i | −0.129978 | − | 0.991517i | \(-0.541491\pi\) |
0.991517 | + | 0.129978i | \(0.0414906\pi\) | |||||||
\(368\) | 4.02580 | + | 2.60633i | 0.209859 | + | 0.135865i | ||||
\(369\) | − | 6.36027i | − | 0.331103i | ||||||
\(370\) | 4.66090 | − | 0.212017i | 0.242309 | − | 0.0110222i | ||||
\(371\) | 0.159384 | + | 0.183939i | 0.00827479 | + | 0.00954961i | ||||
\(372\) | 0.0632120 | + | 0.0137509i | 0.00327739 | + | 0.000712952i | ||||
\(373\) | 21.2519 | − | 28.3892i | 1.10038 | − | 1.46994i | 0.232876 | − | 0.972506i | \(-0.425186\pi\) |
0.867504 | − | 0.497430i | \(-0.165723\pi\) | |||||||
\(374\) | 0.644009 | − | 1.00210i | 0.0333009 | − | 0.0518173i | ||||
\(375\) | −3.97439 | + | 10.4501i | −0.205236 | + | 0.539640i | ||||
\(376\) | 2.31857 | − | 2.67577i | 0.119571 | − | 0.137992i | ||||
\(377\) | 7.01611 | − | 5.25219i | 0.361348 | − | 0.270502i | ||||
\(378\) | 0.154967 | − | 0.415484i | 0.00797067 | − | 0.0213702i | ||||
\(379\) | −10.9030 | − | 3.20141i | −0.560049 | − | 0.164445i | −0.0105574 | − | 0.999944i | \(-0.503361\pi\) |
−0.549492 | + | 0.835499i | \(0.685179\pi\) | |||||||
\(380\) | 4.46176 | − | 7.68989i | 0.228883 | − | 0.394483i | ||||
\(381\) | 7.25441 | + | 15.8849i | 0.371655 | + | 0.813810i | ||||
\(382\) | −15.4809 | − | 20.6801i | −0.792071 | − | 1.05808i | ||||
\(383\) | 16.6426 | − | 1.19030i | 0.850397 | − | 0.0608216i | 0.360666 | − | 0.932695i | \(-0.382550\pi\) |
0.489731 | + | 0.871874i | \(0.337095\pi\) | |||||||
\(384\) | 0.909632 | + | 0.415415i | 0.0464195 | + | 0.0211991i | ||||
\(385\) | 0.0198404 | − | 0.764606i | 0.00101116 | − | 0.0389679i | ||||
\(386\) | −1.90356 | − | 13.2395i | −0.0968885 | − | 0.673874i | ||||
\(387\) | −1.16719 | + | 5.36548i | −0.0593315 | + | 0.272743i | ||||
\(388\) | 0.355464 | − | 4.97004i | 0.0180460 | − | 0.252316i | ||||
\(389\) | 28.0805 | − | 8.24517i | 1.42374 | − | 0.418047i | 0.522970 | − | 0.852351i | \(-0.324824\pi\) |
0.900766 | + | 0.434304i | \(0.143006\pi\) | |||||||
\(390\) | −8.64530 | + | 5.24421i | −0.437772 | + | 0.265551i | ||||
\(391\) | 0.503573 | + | 7.38891i | 0.0254668 | + | 0.373673i | ||||
\(392\) | −4.81070 | − | 4.81070i | −0.242977 | − | 0.242977i | ||||
\(393\) | −3.73048 | + | 6.83186i | −0.188178 | + | 0.344622i | ||||
\(394\) | 11.9220 | − | 10.3305i | 0.600623 | − | 0.520442i | ||||
\(395\) | −4.84264 | + | 1.66444i | −0.243659 | + | 0.0837471i | ||||
\(396\) | 0.763515 | − | 0.109777i | 0.0383681 | − | 0.00551650i | ||||
\(397\) | 4.28288 | + | 19.6881i | 0.214952 | + | 0.988117i | 0.950519 | + | 0.310666i | \(0.100552\pi\) |
−0.735567 | + | 0.677452i | \(0.763084\pi\) | |||||||
\(398\) | 19.6061 | − | 7.31270i | 0.982765 | − | 0.366552i | ||||
\(399\) | 1.33247 | + | 1.15460i | 0.0667072 | + | 0.0578021i | ||||
\(400\) | 2.91771 | − | 4.06041i | 0.145886 | − | 0.203021i | ||||
\(401\) | −25.4694 | + | 11.6315i | −1.27188 | + | 0.580849i | −0.932965 | − | 0.359967i | \(-0.882788\pi\) |
−0.338917 | + | 0.940816i | \(0.610061\pi\) | |||||||
\(402\) | 11.4050 | − | 6.22762i | 0.568832 | − | 0.310606i | ||||
\(403\) | 0.256748 | − | 0.140195i | 0.0127895 | − | 0.00698361i | ||||
\(404\) | −0.351076 | + | 0.160331i | −0.0174667 | + | 0.00797676i | ||||
\(405\) | 0.835509 | − | 2.07411i | 0.0415168 | − | 0.103063i | ||||
\(406\) | −0.649526 | − | 0.562818i | −0.0322354 | − | 0.0279322i | ||||
\(407\) | −1.50803 | + | 0.562467i | −0.0747504 | + | 0.0278805i | ||||
\(408\) | 0.328258 | + | 1.50898i | 0.0162512 | + | 0.0747055i | ||||
\(409\) | 14.1672 | − | 2.03694i | 0.700524 | − | 0.100720i | 0.217156 | − | 0.976137i | \(-0.430322\pi\) |
0.483369 | + | 0.875417i | \(0.339413\pi\) | |||||||
\(410\) | 12.7792 | + | 6.24162i | 0.631119 | + | 0.308252i | ||||
\(411\) | −16.8192 | + | 14.5739i | −0.829631 | + | 0.718880i | ||||
\(412\) | 2.25315 | − | 4.12633i | 0.111004 | − | 0.203290i | ||||
\(413\) | 2.20927 | + | 2.20927i | 0.108711 | + | 0.108711i | ||||
\(414\) | −3.40251 | + | 3.37978i | −0.167224 | + | 0.166107i | ||||
\(415\) | −1.65992 | − | 2.73645i | −0.0814825 | − | 0.134327i | ||||
\(416\) | 4.33884 | − | 1.27400i | 0.212729 | − | 0.0624629i | ||||
\(417\) | 0.588366 | − | 8.22644i | 0.0288124 | − | 0.402850i | ||||
\(418\) | −0.651923 | + | 2.99684i | −0.0318866 | + | 0.146580i | ||||
\(419\) | 0.377352 | + | 2.62454i | 0.0184348 | + | 0.128217i | 0.996961 | − | 0.0779075i | \(-0.0248239\pi\) |
−0.978526 | + | 0.206125i | \(0.933915\pi\) | |||||||
\(420\) | 0.682721 | + | 0.719097i | 0.0333134 | + | 0.0350883i | ||||
\(421\) | −15.2862 | − | 6.98099i | −0.745006 | − | 0.340233i | 0.00648261 | − | 0.999979i | \(-0.497937\pi\) |
−0.751488 | + | 0.659746i | \(0.770664\pi\) | |||||||
\(422\) | −9.82629 | + | 0.702790i | −0.478337 | + | 0.0342113i | ||||
\(423\) | 2.12177 | + | 2.83436i | 0.103164 | + | 0.137811i | ||||
\(424\) | −0.228002 | − | 0.499255i | −0.0110728 | − | 0.0242460i | ||||
\(425\) | 7.71987 | − | 0.150667i | 0.374469 | − | 0.00730843i | ||||
\(426\) | −4.42946 | − | 1.30061i | −0.214608 | − | 0.0630146i | ||||
\(427\) | 0.820547 | − | 2.19997i | 0.0397090 | − | 0.106464i | ||||
\(428\) | −9.10804 | + | 6.81819i | −0.440254 | + | 0.329570i | ||||
\(429\) | 2.28424 | − | 2.63615i | 0.110284 | − | 0.127275i | ||||
\(430\) | −9.63501 | − | 7.61053i | −0.464642 | − | 0.367012i | ||||
\(431\) | −8.96138 | + | 13.9442i | −0.431654 | + | 0.671667i | −0.987140 | − | 0.159859i | \(-0.948896\pi\) |
0.555485 | + | 0.831526i | \(0.312532\pi\) | |||||||
\(432\) | −0.599278 | + | 0.800541i | −0.0288328 | + | 0.0385161i | ||||
\(433\) | 23.1208 | + | 5.02962i | 1.11111 | + | 0.241708i | 0.730424 | − | 0.682994i | \(-0.239323\pi\) |
0.380690 | + | 0.924703i | \(0.375686\pi\) | |||||||
\(434\) | −0.0187856 | − | 0.0216798i | −0.000901740 | − | 0.00104066i | ||||
\(435\) | −3.20052 | − | 2.92202i | −0.153453 | − | 0.140100i | ||||
\(436\) | 4.16082i | 0.199267i | ||||||||
\(437\) | −7.86298 | − | 17.3714i | −0.376137 | − | 0.830987i | ||||
\(438\) | −0.184450 | + | 0.184450i | −0.00881337 | + | 0.00881337i | ||||
\(439\) | −0.0953358 | − | 0.324684i | −0.00455013 | − | 0.0154963i | 0.957187 | − | 0.289472i | \(-0.0934796\pi\) |
−0.961737 | + | 0.273975i | \(0.911661\pi\) | |||||||
\(440\) | −0.528706 | + | 1.64180i | −0.0252051 | + | 0.0782697i | ||||
\(441\) | 5.72335 | − | 3.67817i | 0.272540 | − | 0.175151i | ||||
\(442\) | 5.59034 | + | 4.18488i | 0.265905 | + | 0.199054i | ||||
\(443\) | 23.7054 | − | 5.15680i | 1.12628 | − | 0.245007i | 0.389424 | − | 0.921059i | \(-0.372674\pi\) |
0.736854 | + | 0.676052i | \(0.236310\pi\) | |||||||
\(444\) | 0.866794 | − | 1.89801i | 0.0411362 | − | 0.0900758i | ||||
\(445\) | 0.261898 | − | 0.185653i | 0.0124152 | − | 0.00880077i | ||||
\(446\) | 3.45284 | − | 24.0151i | 0.163497 | − | 1.13715i | ||||
\(447\) | −2.73647 | − | 1.02065i | −0.129431 | − | 0.0482752i | ||||
\(448\) | −0.212520 | − | 0.389201i | −0.0100406 | − | 0.0183880i | ||||
\(449\) | −10.0490 | + | 34.2239i | −0.474243 | + | 1.61512i | 0.281020 | + | 0.959702i | \(0.409327\pi\) |
−0.755263 | + | 0.655422i | \(0.772491\pi\) | |||||||
\(450\) | 3.34742 | + | 3.71414i | 0.157799 | + | 0.175086i | ||||
\(451\) | −4.85616 | − | 0.698211i | −0.228668 | − | 0.0328775i | ||||
\(452\) | −0.990454 | − | 13.8484i | −0.0465870 | − | 0.651372i | ||||
\(453\) | 5.02200 | + | 13.4645i | 0.235954 | + | 0.632618i | ||||
\(454\) | 16.4770 | + | 10.5891i | 0.773305 | + | 0.496973i | ||||
\(455\) | 4.46266 | + | 0.435784i | 0.209213 | + | 0.0204299i | ||||
\(456\) | −2.14957 | − | 3.34480i | −0.100663 | − | 0.156635i | ||||
\(457\) | −5.81093 | − | 0.415606i | −0.271824 | − | 0.0194412i | −0.0652381 | − | 0.997870i | \(-0.520781\pi\) |
−0.206586 | + | 0.978429i | \(0.566235\pi\) | |||||||
\(458\) | −3.24577 | − | 1.77233i | −0.151665 | − | 0.0828153i | ||||
\(459\) | −1.54427 | −0.0720802 | ||||||||
\(460\) | −3.45167 | − | 10.1531i | −0.160935 | − | 0.473392i | ||||
\(461\) | −5.60795 | −0.261188 | −0.130594 | − | 0.991436i | \(-0.541688\pi\) | ||||
−0.130594 | + | 0.991436i | \(0.541688\pi\) | |||||||
\(462\) | −0.300216 | − | 0.163931i | −0.0139673 | − | 0.00762674i | ||||
\(463\) | −21.1047 | − | 1.50944i | −0.980819 | − | 0.0701496i | −0.428288 | − | 0.903642i | \(-0.640883\pi\) |
−0.552531 | + | 0.833493i | \(0.686338\pi\) | |||||||
\(464\) | 1.04783 | + | 1.63045i | 0.0486442 | + | 0.0756918i | ||||
\(465\) | −0.0918593 | − | 0.111741i | −0.00425987 | − | 0.00518187i | ||||
\(466\) | 16.8445 | + | 10.8253i | 0.780306 | + | 0.501472i | ||||
\(467\) | 14.6884 | + | 39.3812i | 0.679699 | + | 1.82234i | 0.558118 | + | 0.829762i | \(0.311524\pi\) |
0.121581 | + | 0.992581i | \(0.461203\pi\) | |||||||
\(468\) | 0.322597 | + | 4.51049i | 0.0149120 | + | 0.208498i | ||||
\(469\) | −5.70369 | − | 0.820067i | −0.263372 | − | 0.0378672i | ||||
\(470\) | −7.77704 | + | 1.48163i | −0.358728 | + | 0.0683423i | ||||
\(471\) | −0.341145 | + | 1.16183i | −0.0157191 | + | 0.0535344i | ||||
\(472\) | −3.37667 | − | 6.18390i | −0.155424 | − | 0.284637i | ||||
\(473\) | 3.96850 | + | 1.48017i | 0.182472 | + | 0.0680584i | ||||
\(474\) | −0.325907 | + | 2.26673i | −0.0149694 | + | 0.104115i | ||||
\(475\) | −18.4873 | + | 7.30943i | −0.848256 | + | 0.335380i | ||||
\(476\) | 0.284474 | − | 0.622911i | 0.0130388 | − | 0.0285511i | ||||
\(477\) | 0.536311 | − | 0.116667i | 0.0245560 | − | 0.00534183i | ||||
\(478\) | −3.35288 | − | 2.50993i | −0.153357 | − | 0.114802i | ||||
\(479\) | 3.28814 | − | 2.11316i | 0.150239 | − | 0.0965528i | −0.463362 | − | 0.886169i | \(-0.653357\pi\) |
0.613601 | + | 0.789617i | \(0.289721\pi\) | |||||||
\(480\) | −1.02036 | − | 1.98969i | −0.0465731 | − | 0.0908164i | ||||
\(481\) | −2.65829 | − | 9.05331i | −0.121208 | − | 0.412795i | ||||
\(482\) | −20.3365 | + | 20.3365i | −0.926300 | + | 0.926300i | ||||
\(483\) | 2.10603 | − | 0.295599i | 0.0958279 | − | 0.0134502i | ||||
\(484\) | 10.4050i | 0.472954i | ||||||||
\(485\) | −7.51225 | + | 8.22827i | −0.341114 | + | 0.373626i | ||||
\(486\) | −0.654861 | − | 0.755750i | −0.0297051 | − | 0.0342815i | ||||
\(487\) | 27.0776 | + | 5.89037i | 1.22700 | + | 0.266918i | 0.778949 | − | 0.627088i | \(-0.215753\pi\) |
0.448055 | + | 0.894006i | \(0.352117\pi\) | |||||||
\(488\) | −3.17315 | + | 4.23884i | −0.143642 | + | 0.191883i | ||||
\(489\) | 1.29591 | − | 2.01648i | 0.0586032 | − | 0.0911883i | ||||
\(490\) | 1.77367 | + | 15.1090i | 0.0801264 | + | 0.682556i | ||||
\(491\) | 24.1696 | − | 27.8932i | 1.09076 | − | 1.25880i | 0.127036 | − | 0.991898i | \(-0.459453\pi\) |
0.963723 | − | 0.266905i | \(-0.0860011\pi\) | |||||||
\(492\) | 5.09166 | − | 3.81157i | 0.229550 | − | 0.171839i | ||||
\(493\) | −1.04594 | + | 2.80427i | −0.0471067 | + | 0.126298i | ||||
\(494\) | −17.2511 | − | 5.06538i | −0.776164 | − | 0.227902i | ||||
\(495\) | −1.49189 | − | 0.865613i | −0.0670556 | − | 0.0389064i | ||||
\(496\) | 0.0268733 | + | 0.0588444i | 0.00120665 | + | 0.00264219i | ||||
\(497\) | 1.22680 | + | 1.63882i | 0.0550297 | + | 0.0735110i | ||||
\(498\) | −1.42768 | + | 0.102110i | −0.0639760 | + | 0.00457565i | ||||
\(499\) | −32.2946 | − | 14.7484i | −1.44570 | − | 0.660231i | −0.470675 | − | 0.882307i | \(-0.655989\pi\) |
−0.975029 | + | 0.222076i | \(0.928717\pi\) | |||||||
\(500\) | −10.7475 | + | 3.08084i | −0.480642 | + | 0.137779i | ||||
\(501\) | 3.02027 | + | 21.0064i | 0.134936 | + | 0.938498i | ||||
\(502\) | −1.68818 | + | 7.76044i | −0.0753472 | + | 0.346366i | ||||
\(503\) | −0.437781 | + | 6.12098i | −0.0195197 | + | 0.272921i | 0.978314 | + | 0.207129i | \(0.0664120\pi\) |
−0.997833 | + | 0.0657921i | \(0.979043\pi\) | |||||||
\(504\) | 0.425480 | − | 0.124932i | 0.0189524 | − | 0.00556493i | ||||
\(505\) | 0.838254 | + | 0.205261i | 0.0373018 | + | 0.00913400i | ||||
\(506\) | 2.20699 | + | 2.96889i | 0.0981128 | + | 0.131983i | ||||
\(507\) | 5.26696 | + | 5.26696i | 0.233914 | + | 0.233914i | ||||
\(508\) | −8.36914 | + | 15.3269i | −0.371321 | + | 0.680023i | ||||
\(509\) | −15.3218 | + | 13.2764i | −0.679128 | + | 0.588468i | −0.924602 | − | 0.380935i | \(-0.875602\pi\) |
0.245473 | + | 0.969403i | \(0.421057\pi\) | |||||||
\(510\) | 1.51546 | − | 3.10277i | 0.0671057 | − | 0.137393i | ||||
\(511\) | 0.114496 | − | 0.0164620i | 0.00506499 | − | 0.000728235i | ||||
\(512\) | 0.212565 | + | 0.977147i | 0.00939415 | + | 0.0431842i | ||||
\(513\) | 3.72528 | − | 1.38946i | 0.164475 | − | 0.0613461i | ||||
\(514\) | 8.57196 | + | 7.42765i | 0.378093 | + | 0.327620i | ||||
\(515\) | −9.67272 | + | 4.11760i | −0.426231 | + | 0.181443i | ||||
\(516\) | −4.99476 | + | 2.28103i | −0.219882 | + | 0.100417i | ||||
\(517\) | 2.39700 | − | 1.30886i | 0.105420 | − | 0.0575636i | ||||
\(518\) | −0.812096 | + | 0.443438i | −0.0356814 | + | 0.0194835i | ||||
\(519\) | −6.47319 | + | 2.95621i | −0.284141 | + | 0.129763i | ||||
\(520\) | −9.37915 | − | 3.77818i | −0.411303 | − | 0.165684i | ||||
\(521\) | −16.4466 | − | 14.2510i | −0.720537 | − | 0.624349i | 0.215396 | − | 0.976527i | \(-0.430896\pi\) |
−0.935933 | + | 0.352178i | \(0.885441\pi\) | |||||||
\(522\) | −1.81592 | + | 0.677304i | −0.0794807 | + | 0.0296448i | ||||
\(523\) | 0.432776 | + | 1.98944i | 0.0189240 | + | 0.0869921i | 0.985640 | − | 0.168859i | \(-0.0540081\pi\) |
−0.966716 | + | 0.255851i | \(0.917644\pi\) | |||||||
\(524\) | −7.70478 | + | 1.10778i | −0.336585 | + | 0.0483936i | ||||
\(525\) | −0.201299 | − | 2.20806i | −0.00878540 | − | 0.0963676i | ||||
\(526\) | −3.15739 | + | 2.73590i | −0.137669 | + | 0.119291i | ||||
\(527\) | −0.0478766 | + | 0.0876794i | −0.00208554 | + | 0.00381938i | ||||
\(528\) | 0.545439 | + | 0.545439i | 0.0237372 | + | 0.0237372i | ||||
\(529\) | −22.0244 | − | 6.62767i | −0.957582 | − | 0.288159i | ||||
\(530\) | −0.291896 | + | 1.19206i | −0.0126792 | + | 0.0517797i | ||||
\(531\) | 6.76034 | − | 1.98502i | 0.293374 | − | 0.0861423i | ||||
\(532\) | −0.125779 | + | 1.75862i | −0.00545322 | + | 0.0762460i | ||||
\(533\) | 6.11364 | − | 28.1040i | 0.264811 | − | 1.21732i | ||||
\(534\) | −0.0204317 | − | 0.142106i | −0.000884168 | − | 0.00614952i | ||||
\(535\) | 25.4320 | + | 0.659923i | 1.09952 | + | 0.0285310i | ||||
\(536\) | 11.8203 | + | 5.39813i | 0.510557 | + | 0.233164i | ||||
\(537\) | −9.81349 | + | 0.701874i | −0.423483 | + | 0.0302881i | ||||
\(538\) | 1.26441 | + | 1.68905i | 0.0545124 | + | 0.0728201i | ||||
\(539\) | −2.18005 | − | 4.77364i | −0.0939014 | − | 0.205615i | ||||
\(540\) | 2.16111 | − | 0.574107i | 0.0929994 | − | 0.0247057i | ||||
\(541\) | 11.5020 | + | 3.37729i | 0.494509 | + | 0.145201i | 0.519472 | − | 0.854487i | \(-0.326129\pi\) |
−0.0249629 | + | 0.999688i | \(0.507947\pi\) | |||||||
\(542\) | −5.35147 | + | 14.3479i | −0.229865 | + | 0.616293i | ||||
\(543\) | −14.9748 | + | 11.2100i | −0.642629 | + | 0.481066i | ||||
\(544\) | −1.01128 | + | 1.16708i | −0.0433583 | + | 0.0500381i | ||||
\(545\) | 5.76693 | − | 7.30099i | 0.247028 | − | 0.312740i | ||||
\(546\) | 1.08412 | − | 1.68693i | 0.0463962 | − | 0.0721939i | ||||
\(547\) | 6.66874 | − | 8.90839i | 0.285135 | − | 0.380895i | −0.634990 | − | 0.772520i | \(-0.718996\pi\) |
0.920125 | + | 0.391625i | \(0.128087\pi\) | |||||||
\(548\) | −21.7464 | − | 4.73065i | −0.928961 | − | 0.202083i | ||||
\(549\) | −3.46746 | − | 4.00167i | −0.147988 | − | 0.170787i | ||||
\(550\) | 3.20327 | − | 2.14808i | 0.136588 | − | 0.0915943i | ||||
\(551\) | − | 7.70591i | − | 0.328283i | ||||||
\(552\) | −4.74470 | − | 0.698428i | −0.201948 | − | 0.0297271i | ||||
\(553\) | 0.718070 | − | 0.718070i | 0.0305354 | − | 0.0305354i | ||||
\(554\) | 7.39261 | + | 25.1769i | 0.314082 | + | 1.06967i | ||||
\(555\) | −4.15163 | + | 2.12907i | −0.176227 | + | 0.0903738i | ||||
\(556\) | 6.93820 | − | 4.45891i | 0.294245 | − | 0.189100i | ||||
\(557\) | −22.0028 | − | 16.4711i | −0.932290 | − | 0.697904i | 0.0210573 | − | 0.999778i | \(-0.493297\pi\) |
−0.953348 | + | 0.301874i | \(0.902388\pi\) | |||||||
\(558\) | −0.0632120 | + | 0.0137509i | −0.00267598 | + | 0.000582123i | ||||
\(559\) | −10.3148 | + | 22.5864i | −0.436272 | + | 0.955302i | ||||
\(560\) | −0.166527 | + | 0.977485i | −0.00703704 | + | 0.0413063i | ||||
\(561\) | −0.169525 | + | 1.17907i | −0.00715735 | + | 0.0497805i | ||||
\(562\) | −5.21967 | − | 1.94684i | −0.220179 | − | 0.0821224i | ||||
\(563\) | −4.36721 | − | 7.99794i | −0.184056 | − | 0.337073i | 0.769317 | − | 0.638867i | \(-0.220596\pi\) |
−0.953373 | + | 0.301794i | \(0.902415\pi\) | |||||||
\(564\) | −0.997489 | + | 3.39714i | −0.0420019 | + | 0.143045i | ||||
\(565\) | −17.4560 | + | 25.6725i | −0.734379 | + | 1.08005i | ||||
\(566\) | 4.44522 | + | 0.639126i | 0.186846 | + | 0.0268645i | ||||
\(567\) | 0.0316349 | + | 0.442313i | 0.00132854 | + | 0.0185754i | ||||
\(568\) | −1.61329 | − | 4.32539i | −0.0676921 | − | 0.181489i | ||||
\(569\) | −4.88637 | − | 3.14028i | −0.204847 | − | 0.131647i | 0.434195 | − | 0.900819i | \(-0.357033\pi\) |
−0.639043 | + | 0.769171i | \(0.720669\pi\) | |||||||
\(570\) | −0.864062 | + | 8.84845i | −0.0361916 | + | 0.370621i | ||||
\(571\) | −16.6126 | − | 25.8497i | −0.695215 | − | 1.08178i | −0.991927 | − | 0.126809i | \(-0.959526\pi\) |
0.296712 | − | 0.954967i | \(-0.404110\pi\) | |||||||
\(572\) | 3.47924 | + | 0.248840i | 0.145474 | + | 0.0104045i | ||||
\(573\) | 22.6727 | + | 12.3802i | 0.947167 | + | 0.517192i | ||||
\(574\) | −2.82042 | −0.117722 | ||||||||
\(575\) | −8.01566 | + | 22.5998i | −0.334276 | + | 0.942475i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | −22.4359 | − | 12.2509i | −0.934020 | − | 0.510014i | −0.0612379 | − | 0.998123i | \(-0.519505\pi\) |
−0.872782 | + | 0.488110i | \(0.837687\pi\) | |||||||
\(578\) | 14.5780 | + | 1.04264i | 0.606365 | + | 0.0433681i | ||||
\(579\) | 7.23144 | + | 11.2523i | 0.300528 | + | 0.467631i | ||||
\(580\) | 0.421194 | − | 4.31325i | 0.0174891 | − | 0.179098i | ||||
\(581\) | 0.533955 | + | 0.343152i | 0.0221522 | + | 0.0142363i | ||||
\(582\) | 1.74129 | + | 4.66857i | 0.0721787 | + | 0.193519i | ||||
\(583\) | −0.0302027 | − | 0.422289i | −0.00125087 | − | 0.0174894i | ||||
\(584\) | −0.258197 | − | 0.0371231i | −0.0106843 | − | 0.00153617i | ||||
\(585\) | 5.68552 | − | 8.36169i | 0.235067 | − | 0.345713i | ||||
\(586\) | 4.10496 | − | 13.9802i | 0.169574 | − | 0.577518i | ||||
\(587\) | 10.7794 | + | 19.7410i | 0.444913 | + | 0.814797i | 0.999854 | − | 0.0170927i | \(-0.00544104\pi\) |
−0.554941 | + | 0.831890i | \(0.687259\pi\) | |||||||
\(588\) | 6.37440 | + | 2.37753i | 0.262876 | + | 0.0980477i | ||||
\(589\) | 0.0366043 | − | 0.254589i | 0.00150826 | − | 0.0104901i | ||||
\(590\) | −2.64590 | + | 15.5310i | −0.108930 | + | 0.639401i | ||||
\(591\) | −6.55321 | + | 14.3495i | −0.269563 | + | 0.590261i | ||||
\(592\) | 2.03889 | − | 0.443533i | 0.0837978 | − | 0.0182291i | ||||
\(593\) | −27.1654 | − | 20.3357i | −1.11555 | − | 0.835089i | −0.127901 | − | 0.991787i | \(-0.540824\pi\) |
−0.987647 | + | 0.156698i | \(0.949915\pi\) | |||||||
\(594\) | −0.648915 | + | 0.417032i | −0.0266253 | + | 0.0171110i | ||||
\(595\) | −1.36253 | + | 0.698740i | −0.0558582 | + | 0.0286456i | ||||
\(596\) | −0.822833 | − | 2.80231i | −0.0337046 | − | 0.114787i | ||||
\(597\) | −14.7965 | + | 14.7965i | −0.605582 | + | 0.605582i | ||||
\(598\) | −18.2833 | + | 11.6635i | −0.747660 | + | 0.476958i | ||||
\(599\) | 20.9360i | 0.855421i | 0.903916 | + | 0.427710i | \(0.140680\pi\) | ||||
−0.903916 | + | 0.427710i | \(0.859320\pi\) | |||||||
\(600\) | −0.967288 | + | 4.90554i | −0.0394894 | + | 0.200268i | ||||
\(601\) | 8.00257 | + | 9.23546i | 0.326432 | + | 0.376722i | 0.895116 | − | 0.445834i | \(-0.147093\pi\) |
−0.568684 | + | 0.822556i | \(0.692547\pi\) | |||||||
\(602\) | 2.37929 | + | 0.517582i | 0.0969724 | + | 0.0210951i | ||||
\(603\) | −7.78734 | + | 10.4027i | −0.317125 | + | 0.423630i | ||||
\(604\) | −7.76932 | + | 12.0893i | −0.316129 | + | 0.491907i | ||||
\(605\) | 14.4214 | − | 18.2577i | 0.586314 | − | 0.742280i | ||||
\(606\) | 0.252746 | − | 0.291684i | 0.0102671 | − | 0.0118489i | ||||
\(607\) | 23.6019 | − | 17.6681i | 0.957970 | − | 0.717127i | −0.00118779 | − | 0.999999i | \(-0.500378\pi\) |
0.959158 | + | 0.282872i | \(0.0912872\pi\) | |||||||
\(608\) | 1.38946 | − | 3.72528i | 0.0563500 | − | 0.151080i | ||||
\(609\) | 0.824633 | + | 0.242134i | 0.0334158 | + | 0.00981176i | ||||
\(610\) | 11.4430 | − | 3.03988i | 0.463314 | − | 0.123081i | ||||
\(611\) | 6.65097 | + | 14.5636i | 0.269070 | + | 0.589180i | ||||
\(612\) | −0.925445 | − | 1.23625i | −0.0374089 | − | 0.0499724i | ||||
\(613\) | 24.3694 | − | 1.74293i | 0.984271 | − | 0.0703965i | 0.430084 | − | 0.902789i | \(-0.358484\pi\) |
0.554187 | + | 0.832392i | \(0.313029\pi\) | |||||||
\(614\) | −26.6829 | − | 12.1857i | −1.07683 | − | 0.491774i | ||||
\(615\) | −14.2172 | − | 0.368916i | −0.573293 | − | 0.0148761i | ||||
\(616\) | −0.0486798 | − | 0.338575i | −0.00196137 | − | 0.0136416i | ||||
\(617\) | −3.46216 | + | 15.9153i | −0.139381 | + | 0.640725i | 0.853448 | + | 0.521179i | \(0.174508\pi\) |
−0.992829 | + | 0.119546i | \(0.961856\pi\) | |||||||
\(618\) | −0.335395 | + | 4.68943i | −0.0134916 | + | 0.188637i | ||||
\(619\) | −6.90268 | + | 2.02681i | −0.277442 | + | 0.0814644i | −0.417494 | − | 0.908680i | \(-0.637091\pi\) |
0.140051 | + | 0.990144i | \(0.455273\pi\) | |||||||
\(620\) | 0.0344041 | − | 0.140501i | 0.00138170 | − | 0.00564266i | ||||
\(621\) | 1.69103 | − | 4.48781i | 0.0678585 | − | 0.180090i | ||||
\(622\) | 12.3579 | + | 12.3579i | 0.495505 | + | 0.495505i | ||||
\(623\) | −0.0305108 | + | 0.0558764i | −0.00122239 | + | 0.00223864i | ||||
\(624\) | −3.41751 | + | 2.96129i | −0.136810 | + | 0.118546i | ||||
\(625\) | 23.1287 | + | 9.49015i | 0.925148 | + | 0.379606i | ||||
\(626\) | −4.98748 | + | 0.717092i | −0.199340 | + | 0.0286608i | ||||
\(627\) | −0.651923 | − | 2.99684i | −0.0260353 | − | 0.119682i | ||||
\(628\) | −1.13453 | + | 0.423160i | −0.0452729 | + | 0.0168859i | ||||
\(629\) | 2.43520 | + | 2.11011i | 0.0970977 | + | 0.0841356i | ||||
\(630\) | −0.919749 | − | 0.370501i | −0.0366437 | − | 0.0147611i | ||||
\(631\) | −32.2381 | + | 14.7227i | −1.28338 | + | 0.586100i | −0.936124 | − | 0.351670i | \(-0.885614\pi\) |
−0.347256 | + | 0.937770i | \(0.612886\pi\) | |||||||
\(632\) | −2.00992 | + | 1.09750i | −0.0799504 | + | 0.0436562i | ||||
\(633\) | 8.64636 | − | 4.72127i | 0.343662 | − | 0.187654i | ||||
\(634\) | 2.66242 | − | 1.21589i | 0.105738 | − | 0.0482891i | ||||
\(635\) | 35.9286 | − | 15.2945i | 1.42578 | − | 0.606944i | ||||
\(636\) | 0.414796 | + | 0.359423i | 0.0164477 | + | 0.0142520i | ||||
\(637\) | 28.8251 | − | 10.7512i | 1.14209 | − | 0.425979i | ||||
\(638\) | 0.317785 | + | 1.46084i | 0.0125812 | + | 0.0578351i | ||||
\(639\) | 4.56947 | − | 0.656991i | 0.180766 | − | 0.0259902i | ||||
\(640\) | 0.981345 | − | 2.00922i | 0.0387911 | − | 0.0794214i | ||||
\(641\) | −7.93863 | + | 6.87886i | −0.313557 | + | 0.271699i | −0.797393 | − | 0.603460i | \(-0.793788\pi\) |
0.483836 | + | 0.875158i | \(0.339243\pi\) | |||||||
\(642\) | 5.45258 | − | 9.98566i | 0.215196 | − | 0.394103i | ||||
\(643\) | 25.5325 | + | 25.5325i | 1.00690 | + | 1.00690i | 0.999976 | + | 0.00692632i | \(0.00220474\pi\) |
0.00692632 | + | 0.999976i | \(0.497795\pi\) | |||||||
\(644\) | 1.49874 | + | 1.50882i | 0.0590586 | + | 0.0594559i | ||||
\(645\) | 11.9258 | + | 2.92025i | 0.469580 | + | 0.114985i | ||||
\(646\) | 5.89125 | − | 1.72983i | 0.231788 | − | 0.0680591i | ||||
\(647\) | −1.92275 | + | 26.8836i | −0.0755912 | + | 1.05690i | 0.808165 | + | 0.588956i | \(0.200461\pi\) |
−0.883756 | + | 0.467947i | \(0.844994\pi\) | |||||||
\(648\) | 0.212565 | − | 0.977147i | 0.00835035 | − | 0.0383860i | ||||
\(649\) | −0.773460 | − | 5.37953i | −0.0303610 | − | 0.211165i | ||||
\(650\) | 11.2210 | + | 19.6292i | 0.440124 | + | 0.769919i | ||||
\(651\) | 0.0260941 | + | 0.0119168i | 0.00102271 | + | 0.000467056i | ||||
\(652\) | 2.39089 | − | 0.170999i | 0.0936343 | − | 0.00669686i | ||||
\(653\) | −1.49620 | − | 1.99869i | −0.0585508 | − | 0.0782147i | 0.770310 | − | 0.637670i | \(-0.220101\pi\) |
−0.828861 | + | 0.559455i | \(0.811011\pi\) | |||||||
\(654\) | −1.72847 | − | 3.78481i | −0.0675883 | − | 0.147998i | ||||
\(655\) | 15.0550 | + | 8.73507i | 0.588247 | + | 0.341307i | ||||
\(656\) | 6.10264 | + | 1.79190i | 0.238268 | + | 0.0699618i | ||||
\(657\) | 0.0911584 | − | 0.244405i | 0.00355643 | − | 0.00953516i | ||||
\(658\) | 1.25688 | − | 0.940886i | 0.0489982 | − | 0.0366796i | ||||
\(659\) | 28.2413 | − | 32.5922i | 1.10013 | − | 1.26961i | 0.139968 | − | 0.990156i | \(-0.455300\pi\) |
0.960158 | − | 0.279457i | \(-0.0901545\pi\) | |||||||
\(660\) | −0.201100 | − | 1.71306i | −0.00782779 | − | 0.0666810i | ||||
\(661\) | 9.48267 | − | 14.7553i | 0.368833 | − | 0.573915i | −0.606382 | − | 0.795173i | \(-0.707380\pi\) |
0.975215 | + | 0.221258i | \(0.0710163\pi\) | |||||||
\(662\) | −11.1266 | + | 14.8634i | −0.432449 | + | 0.577684i | ||||
\(663\) | −6.82361 | − | 1.48439i | −0.265007 | − | 0.0576488i | ||||
\(664\) | −0.937322 | − | 1.08173i | −0.0363751 | − | 0.0419791i | ||||
\(665\) | 2.65817 | − | 2.91153i | 0.103080 | − | 0.112904i | ||||
\(666\) | 2.08657i | 0.0808531i | ||||||||
\(667\) | −7.00417 | − | 6.11038i | −0.271203 | − | 0.236595i | ||||
\(668\) | −15.0065 | + | 15.0065i | −0.580620 | + | 0.580620i | ||||
\(669\) | 6.83540 | + | 23.2792i | 0.264272 | + | 0.900027i | ||||
\(670\) | −13.2592 | − | 25.8551i | −0.512247 | − | 0.998869i | ||||
\(671\) | −3.43598 | + | 2.20817i | −0.132645 | + | 0.0852455i | ||||
\(672\) | 0.354994 | + | 0.265746i | 0.0136942 | + | 0.0102514i | ||||
\(673\) | 45.7996 | − | 9.96309i | 1.76544 | − | 0.384049i | 0.791560 | − | 0.611091i | \(-0.209269\pi\) |
0.973885 | + | 0.227042i | \(0.0729056\pi\) | |||||||
\(674\) | −11.7521 | + | 25.7336i | −0.452675 | + | 0.991219i | ||||
\(675\) | −4.58782 | − | 1.98793i | −0.176585 | − | 0.0765155i | ||||
\(676\) | −1.06005 | + | 7.37279i | −0.0407711 | + | 0.283569i | ||||
\(677\) | −35.7477 | − | 13.3332i | −1.37390 | − | 0.512436i | −0.449298 | − | 0.893382i | \(-0.648326\pi\) |
−0.924597 | + | 0.380945i | \(0.875599\pi\) | |||||||
\(678\) | 6.65376 | + | 12.1855i | 0.255536 | + | 0.467980i | ||||
\(679\) | 0.622505 | − | 2.12006i | 0.0238895 | − | 0.0813603i | ||||
\(680\) | 3.39208 | − | 0.646234i | 0.130080 | − | 0.0247819i | ||||
\(681\) | −19.3869 | − | 2.78742i | −0.742908 | − | 0.106814i | ||||
\(682\) | 0.00355982 | + | 0.0497728i | 0.000136313 | + | 0.00190590i | ||||
\(683\) | −6.54904 | − | 17.5586i | −0.250592 | − | 0.671863i | −0.999953 | − | 0.00970122i | \(-0.996912\pi\) |
0.749361 | − | 0.662162i | \(-0.230361\pi\) | |||||||
\(684\) | 3.34480 | + | 2.14957i | 0.127892 | + | 0.0821909i | ||||
\(685\) | 31.6018 | + | 38.4416i | 1.20744 | + | 1.46878i | ||||
\(686\) | −3.30926 | − | 5.14932i | −0.126348 | − | 0.196602i | ||||
\(687\) | 3.68871 | + | 0.263822i | 0.140733 | + | 0.0100654i | ||||
\(688\) | −4.81931 | − | 2.63154i | −0.183734 | − | 0.100327i | ||||
\(689\) | 2.48193 | 0.0945538 | ||||||||
\(690\) | 7.35751 | + | 7.80173i | 0.280096 | + | 0.297007i | ||||
\(691\) | 13.4832 | 0.512927 | 0.256463 | − | 0.966554i | \(-0.417443\pi\) | ||||
0.256463 | + | 0.966554i | \(0.417443\pi\) | |||||||
\(692\) | −6.24580 | − | 3.41047i | −0.237430 | − | 0.129646i | ||||
\(693\) | 0.341186 | + | 0.0244021i | 0.0129606 | + | 0.000926958i | ||||
\(694\) | 4.96364 | + | 7.72358i | 0.188417 | + | 0.293183i | ||||
\(695\) | −18.3546 | − | 1.79234i | −0.696228 | − | 0.0679875i | ||||
\(696\) | −1.63045 | − | 1.04783i | −0.0618021 | − | 0.0397178i | ||||
\(697\) | 3.43242 | + | 9.20269i | 0.130012 | + | 0.348577i | ||||
\(698\) | −1.99472 | − | 27.8898i | −0.0755013 | − | 1.05565i | ||||
\(699\) | −19.8193 | − | 2.84958i | −0.749634 | − | 0.107781i | ||||
\(700\) | 1.64701 | − | 1.48439i | 0.0622511 | − | 0.0561046i | ||||
\(701\) | 8.53188 | − | 29.0569i | 0.322245 | − | 1.09746i | −0.625973 | − | 0.779844i | \(-0.715298\pi\) |
0.948218 | − | 0.317620i | \(-0.102884\pi\) | |||||||
\(702\) | −2.16717 | − | 3.96888i | −0.0817946 | − | 0.149796i | ||||
\(703\) | −7.77308 | − | 2.89921i | −0.293167 | − | 0.109346i | ||||
\(704\) | −0.109777 | + | 0.763515i | −0.00413737 | + | 0.0287761i | ||||
\(705\) | 6.45876 | − | 4.57843i | 0.243251 | − | 0.172434i | ||||
\(706\) | −14.7279 | + | 32.2497i | −0.554293 | + | 1.21373i | ||||
\(707\) | −0.167237 | + | 0.0363802i | −0.00628960 | + | 0.00136822i | ||||
\(708\) | 5.64041 | + | 4.22236i | 0.211980 | + | 0.158686i | ||||
\(709\) | −35.0469 | + | 22.5233i | −1.31622 | + | 0.845880i | −0.994878 | − | 0.101084i | \(-0.967769\pi\) |
−0.321338 | + | 0.946965i | \(0.604132\pi\) | |||||||
\(710\) | −3.16419 | + | 9.82581i | −0.118750 | + | 0.368756i | ||||
\(711\) | −0.645180 | − | 2.19728i | −0.0241961 | − | 0.0824045i | ||||
\(712\) | 0.101517 | − | 0.101517i | 0.00380452 | − | 0.00380452i | ||||
\(713\) | −0.202379 | − | 0.235147i | −0.00757917 | − | 0.00880631i | ||||
\(714\) | 0.684795i | 0.0256278i | ||||||||
\(715\) | −5.76014 | − | 5.25890i | −0.215417 | − | 0.196672i | ||||
\(716\) | −6.44288 | − | 7.43548i | −0.240782 | − | 0.277877i | ||||
\(717\) | 4.09255 | + | 0.890279i | 0.152839 | + | 0.0332481i | ||||
\(718\) | 13.3563 | − | 17.8420i | 0.498454 | − | 0.665857i | ||||
\(719\) | 4.89117 | − | 7.61081i | 0.182410 | − | 0.283835i | −0.737992 | − | 0.674810i | \(-0.764226\pi\) |
0.920401 | + | 0.390975i | \(0.127862\pi\) | |||||||
\(720\) | 1.75470 | + | 1.38601i | 0.0653939 | + | 0.0516535i | ||||
\(721\) | 1.36526 | − | 1.57559i | 0.0508449 | − | 0.0586781i | ||||
\(722\) | 2.55506 | − | 1.91269i | 0.0950894 | − | 0.0711830i | ||||
\(723\) | 10.0506 | − | 26.9468i | 0.373787 | − | 1.00216i | ||||
\(724\) | −17.9481 | − | 5.27003i | −0.667035 | − | 0.195859i | ||||
\(725\) | −6.71728 | + | 6.98470i | −0.249473 | + | 0.259405i | ||||
\(726\) | −4.32239 | − | 9.46472i | −0.160419 | − | 0.351269i | ||||
\(727\) | −16.1846 | − | 21.6201i | −0.600254 | − | 0.801846i | 0.392785 | − | 0.919630i | \(-0.371512\pi\) |
−0.993039 | + | 0.117785i | \(0.962421\pi\) | |||||||
\(728\) | 2.00015 | − | 0.143053i | 0.0741304 | − | 0.00530191i | ||||
\(729\) | 0.909632 | + | 0.415415i | 0.0336901 | + | 0.0153857i | ||||
\(730\) | 0.401606 | + | 0.423003i | 0.0148641 | + | 0.0156561i | ||||
\(731\) | −1.20676 | − | 8.39321i | −0.0446337 | − | 0.310434i | ||||
\(732\) | 1.12553 | − | 5.17396i | 0.0416006 | − | 0.191235i | ||||
\(733\) | −0.827583 | + | 11.5711i | −0.0305675 | + | 0.427389i | 0.959008 | + | 0.283377i | \(0.0914549\pi\) |
−0.989576 | + | 0.144012i | \(0.954000\pi\) | |||||||
\(734\) | −22.3957 | + | 6.57597i | −0.826641 | + | 0.242724i | ||||
\(735\) | −7.88990 | − | 13.0068i | −0.291024 | − | 0.479764i | ||||
\(736\) | −2.28427 | − | 4.21688i | −0.0841994 | − | 0.155436i | ||||
\(737\) | 7.08773 | + | 7.08773i | 0.261080 | + | 0.261080i | ||||
\(738\) | −3.04815 | + | 5.58228i | −0.112204 | + | 0.205486i | ||||
\(739\) | −21.3676 | + | 18.5151i | −0.786019 | + | 0.681090i | −0.952359 | − | 0.304979i | \(-0.901351\pi\) |
0.166340 | + | 0.986068i | \(0.446805\pi\) | |||||||
\(740\) | −4.19238 | − | 2.04765i | −0.154115 | − | 0.0752731i | ||||
\(741\) | 17.7964 | − | 2.55873i | 0.653767 | − | 0.0939974i | ||||
\(742\) | −0.0517353 | − | 0.237823i | −0.00189926 | − | 0.00873077i | ||||
\(743\) | 15.6423 | − | 5.83428i | 0.573861 | − | 0.214039i | −0.0457437 | − | 0.998953i | \(-0.514566\pi\) |
0.619604 | + | 0.784914i | \(0.287293\pi\) | |||||||
\(744\) | −0.0488897 | − | 0.0423632i | −0.00179238 | − | 0.00155311i | ||||
\(745\) | −2.44020 | + | 6.05768i | −0.0894021 | + | 0.221936i | ||||
\(746\) | −32.2578 | + | 14.7316i | −1.18104 | + | 0.539364i | ||||
\(747\) | 1.25625 | − | 0.685963i | 0.0459637 | − | 0.0250981i | ||||
\(748\) | −1.04549 | + | 0.570880i | −0.0382268 | + | 0.0208734i | ||||
\(749\) | −4.58928 | + | 2.09585i | −0.167689 | + | 0.0765808i | ||||
\(750\) | 8.49643 | − | 7.26710i | 0.310246 | − | 0.265357i | ||||
\(751\) | −9.84303 | − | 8.52904i | −0.359177 | − | 0.311229i | 0.456514 | − | 0.889716i | \(-0.349098\pi\) |
−0.815691 | + | 0.578487i | \(0.803643\pi\) | |||||||
\(752\) | −3.31732 | + | 1.23730i | −0.120970 | + | 0.0451196i | ||||
\(753\) | −1.68818 | − | 7.76044i | −0.0615207 | − | 0.282806i | ||||
\(754\) | −8.67500 | + | 1.24728i | −0.315925 | + | 0.0454231i | ||||
\(755\) | 30.3887 | − | 10.4448i | 1.10596 | − | 0.380124i | ||||
\(756\) | −0.335132 | + | 0.290393i | −0.0121886 | + | 0.0105615i | ||||
\(757\) | −10.0009 | + | 18.3152i | −0.363487 | + | 0.665677i | −0.993864 | − | 0.110613i | \(-0.964719\pi\) |
0.630376 | + | 0.776290i | \(0.282901\pi\) | |||||||
\(758\) | 8.03506 | + | 8.03506i | 0.291847 | + | 0.291847i | ||||
\(759\) | −3.24087 | − | 1.78378i | −0.117636 | − | 0.0647472i | ||||
\(760\) | −7.60136 | + | 4.61096i | −0.275730 | + | 0.167257i | ||||
\(761\) | 16.5681 | − | 4.86483i | 0.600593 | − | 0.176350i | 0.0327177 | − | 0.999465i | \(-0.489584\pi\) |
0.567875 | + | 0.823115i | \(0.307766\pi\) | |||||||
\(762\) | 1.24580 | − | 17.4185i | 0.0451305 | − | 0.631007i | ||||
\(763\) | −0.392201 | + | 1.80292i | −0.0141986 | + | 0.0652700i | ||||
\(764\) | 3.67636 | + | 25.5697i | 0.133006 | + | 0.925078i | ||||
\(765\) | −0.0895725 | + | 3.45193i | −0.00323850 | + | 0.124805i | ||||
\(766\) | −15.1773 | − | 6.93124i | −0.548378 | − | 0.250436i | ||||
\(767\) | 31.7798 | − | 2.27293i | 1.14750 | − | 0.0820709i | ||||
\(768\) | −0.599278 | − | 0.800541i | −0.0216246 | − | 0.0288870i | ||||
\(769\) | −8.38574 | − | 18.3622i | −0.302398 | − | 0.662158i | 0.696042 | − | 0.718001i | \(-0.254943\pi\) |
−0.998440 | + | 0.0558428i | \(0.982215\pi\) | |||||||
\(770\) | −0.383850 | + | 0.661570i | −0.0138330 | + | 0.0238413i | ||||
\(771\) | −10.8829 | − | 3.19551i | −0.391938 | − | 0.115083i | ||||
\(772\) | −4.67432 | + | 12.5323i | −0.168232 | + | 0.451049i | ||||
\(773\) | 18.9109 | − | 14.1565i | 0.680179 | − | 0.509175i | −0.202422 | − | 0.979298i | \(-0.564881\pi\) |
0.882601 | + | 0.470123i | \(0.155790\pi\) | |||||||
\(774\) | 3.59582 | − | 4.14980i | 0.129249 | − | 0.149161i | ||||
\(775\) | −0.255105 | + | 0.198853i | −0.00916363 | + | 0.00714301i | ||||
\(776\) | −2.69387 | + | 4.19175i | −0.0967043 | + | 0.150475i | ||||
\(777\) | 0.554498 | − | 0.740722i | 0.0198925 | − | 0.0265733i | ||||
\(778\) | −28.5971 | − | 6.22092i | −1.02526 | − | 0.223031i | ||||
\(779\) | −16.5603 | − | 19.1116i | −0.593334 | − | 0.684744i | ||||
\(780\) | 10.1011 | − | 0.459482i | 0.361677 | − | 0.0164521i | ||||
\(781\) | − | 3.56098i | − | 0.127422i | ||||||
\(782\) | 3.09915 | − | 6.72643i | 0.110825 | − | 0.240537i | ||||
\(783\) | 1.37046 | − | 1.37046i | 0.0489762 | − | 0.0489762i | ||||
\(784\) | 1.91673 | + | 6.52777i | 0.0684546 | + | 0.233135i | ||||
\(785\) | 2.57727 | + | 0.829956i | 0.0919868 | + | 0.0296224i | ||||
\(786\) | 6.54833 | − | 4.20835i | 0.233571 | − | 0.150107i | ||||
\(787\) | −3.45552 | − | 2.58677i | −0.123176 | − | 0.0922083i | 0.535914 | − | 0.844273i | \(-0.319967\pi\) |
−0.659089 | + | 0.752065i | \(0.729058\pi\) | |||||||
\(788\) | −15.4146 | + | 3.35324i | −0.549122 | + | 0.119454i | ||||
\(789\) | 1.73553 | − | 3.80029i | 0.0617866 | − | 0.135294i | ||||
\(790\) | 5.04796 | + | 0.859983i | 0.179598 | + | 0.0305968i | ||||
\(791\) | 0.876181 | − | 6.09398i | 0.0311534 | − | 0.216677i | ||||
\(792\) | −0.722732 | − | 0.269565i | −0.0256812 | − | 0.00957858i | ||||
\(793\) | −11.4751 | − | 21.0151i | −0.407492 | − | 0.746266i | ||||
\(794\) | 5.67650 | − | 19.3324i | 0.201452 | − | 0.686081i | ||||
\(795\) | −0.229681 | − | 1.20559i | −0.00814593 | − | 0.0427579i | ||||
\(796\) | −20.7125 | − | 2.97800i | −0.734134 | − | 0.105553i | ||||
\(797\) | −2.67733 | − | 37.4340i | −0.0948360 | − | 1.32598i | −0.792639 | − | 0.609691i | \(-0.791294\pi\) |
0.697803 | − | 0.716289i | \(-0.254161\pi\) | |||||||
\(798\) | −0.616146 | − | 1.65195i | −0.0218113 | − | 0.0584784i | ||||
\(799\) | −4.59961 | − | 2.95599i | −0.162722 | − | 0.104575i | ||||
\(800\) | −4.50676 | + | 2.16543i | −0.159338 | + | 0.0765595i | ||||
\(801\) | 0.0776183 | + | 0.120776i | 0.00274251 | + | 0.00426742i | ||||
\(802\) | 27.9284 | + | 1.99748i | 0.986185 | + | 0.0705333i | ||||
\(803\) | −0.176600 | − | 0.0964309i | −0.00623208 | − | 0.00340297i | ||||
\(804\) | −12.9945 | −0.458282 | ||||||||
\(805\) | −0.538601 | − | 4.72480i | −0.0189832 | − | 0.166527i | ||||
\(806\) | −0.292531 | −0.0103039 | ||||||||
\(807\) | −1.85180 | − | 1.01116i | −0.0651865 | − | 0.0355945i | ||||
\(808\) | 0.384970 | + | 0.0275336i | 0.0135432 | + | 0.000968629i | ||||
\(809\) | 23.3895 | + | 36.3948i | 0.822332 | + | 1.27957i | 0.957408 | + | 0.288738i | \(0.0932356\pi\) |
−0.135076 | + | 0.990835i | \(0.543128\pi\) | |||||||
\(810\) | −1.72732 | + | 1.41998i | −0.0606919 | + | 0.0498932i | ||||
\(811\) | 4.20537 | + | 2.70263i | 0.147671 | + | 0.0949021i | 0.612390 | − | 0.790556i | \(-0.290208\pi\) |
−0.464719 | + | 0.885458i | \(0.653845\pi\) | |||||||
\(812\) | 0.300346 | + | 0.805258i | 0.0105401 | + | 0.0282590i | ||||
\(813\) | −1.09244 | − | 15.2743i | −0.0383136 | − | 0.535695i | ||||
\(814\) | 1.59313 | + | 0.229058i | 0.0558392 | + | 0.00802847i | ||||
\(815\) | −4.43230 | − | 3.01373i | −0.155257 | − | 0.105567i | ||||
\(816\) | 0.435070 | − | 1.48171i | 0.0152305 | − | 0.0518704i | ||||
\(817\) | 10.4629 | + | 19.1614i | 0.366051 | + | 0.670373i | ||||
\(818\) | −13.4105 | − | 5.00185i | −0.468886 | − | 0.174886i | ||||
\(819\) | −0.285378 | + | 1.98484i | −0.00997190 | + | 0.0693561i | ||||
\(820\) | −8.22473 | − | 11.6026i | −0.287220 | − | 0.405179i | ||||
\(821\) | 9.96499 | − | 21.8203i | 0.347781 | − | 0.761533i | −0.652213 | − | 0.758036i | \(-0.726159\pi\) |
0.999994 | − | 0.00349784i | \(-0.00111340\pi\) | |||||||
\(822\) | 21.7464 | − | 4.73065i | 0.758494 | − | 0.165000i | ||||
\(823\) | −9.55879 | − | 7.15562i | −0.333199 | − | 0.249429i | 0.419558 | − | 0.907729i | \(-0.362185\pi\) |
−0.752756 | + | 0.658299i | \(0.771276\pi\) | |||||||
\(824\) | −3.95508 | + | 2.54177i | −0.137782 | + | 0.0885469i | ||||
\(825\) | −2.02145 | + | 3.28464i | −0.0703779 | + | 0.114357i | ||||
\(826\) | −0.880241 | − | 2.99783i | −0.0306275 | − | 0.104308i | ||||
\(827\) | 9.69107 | − | 9.69107i | 0.336991 | − | 0.336991i | −0.518242 | − | 0.855234i | \(-0.673413\pi\) |
0.855234 | + | 0.518242i | \(0.173413\pi\) | |||||||
\(828\) | 4.60607 | − | 1.33571i | 0.160072 | − | 0.0464191i | ||||
\(829\) | 37.5405i | 1.30383i | 0.758290 | + | 0.651917i | \(0.226035\pi\) | ||||
−0.758290 | + | 0.651917i | \(0.773965\pi\) | |||||||
\(830\) | 0.145438 | + | 3.19724i | 0.00504821 | + | 0.110978i | ||||
\(831\) | −17.1834 | − | 19.8307i | −0.596087 | − | 0.687921i | ||||
\(832\) | −4.41867 | − | 0.961223i | −0.153190 | − | 0.0333244i | ||||
\(833\) | −6.29614 | + | 8.41065i | −0.218148 | + | 0.291412i | ||||
\(834\) | −4.45891 | + | 6.93820i | −0.154399 | + | 0.240250i | ||||
\(835\) | 47.1312 | − | 5.53281i | 1.63104 | − | 0.191471i | ||||
\(836\) | 2.00841 | − | 2.31783i | 0.0694624 | − | 0.0801639i | ||||
\(837\) | 0.0517873 | − | 0.0387675i | 0.00179003 | − | 0.00134000i | ||||
\(838\) | 0.926614 | − | 2.48435i | 0.0320093 | − | 0.0858204i | ||||
\(839\) | 49.0805 | + | 14.4113i | 1.69445 | + | 0.497534i | 0.979466 | − | 0.201610i | \(-0.0646175\pi\) |
0.714980 | + | 0.699145i | \(0.246436\pi\) | |||||||
\(840\) | −0.254584 | − | 0.958330i | −0.00878398 | − | 0.0330655i | ||||
\(841\) | 10.4866 | + | 22.9625i | 0.361607 | + | 0.791809i | ||||
\(842\) | 10.0708 | + | 13.4530i | 0.347062 | + | 0.463621i | ||||
\(843\) | 5.55673 | − | 0.397425i | 0.191384 | − | 0.0136880i | ||||
\(844\) | 8.96114 | + | 4.09242i | 0.308455 | + | 0.140867i | ||||
\(845\) | 12.0788 | − | 11.4678i | 0.415524 | − | 0.394505i | ||||
\(846\) | −0.503873 | − | 3.50452i | −0.0173235 | − | 0.120488i | ||||
\(847\) | −0.980781 | + | 4.50858i | −0.0337000 | + | 0.154917i | ||||
\(848\) | −0.0391548 | + | 0.547456i | −0.00134458 | + | 0.0187997i | ||||
\(849\) | −4.30901 | + | 1.26524i | −0.147885 | + | 0.0434229i | ||||
\(850\) | −6.84777 | − | 3.56750i | −0.234877 | − | 0.122364i | ||||
\(851\) | −8.79884 | + | 4.76631i | −0.301620 | + | 0.163387i | ||||
\(852\) | 3.26433 | + | 3.26433i | 0.111834 | + | 0.111834i | ||||
\(853\) | −17.9910 | + | 32.9481i | −0.616002 | + | 1.12812i | 0.364424 | + | 0.931233i | \(0.381266\pi\) |
−0.980426 | + | 0.196890i | \(0.936916\pi\) | |||||||
\(854\) | −1.77451 | + | 1.53762i | −0.0607225 | + | 0.0526164i | ||||
\(855\) | −2.88980 | − | 8.40778i | −0.0988291 | − | 0.287540i | ||||
\(856\) | 11.2615 | − | 1.61917i | 0.384912 | − | 0.0553419i | ||||
\(857\) | −4.23874 | − | 19.4852i | −0.144792 | − | 0.665600i | −0.991124 | − | 0.132943i | \(-0.957557\pi\) |
0.846331 | − | 0.532657i | \(-0.178806\pi\) | |||||||
\(858\) | −3.26820 | + | 1.21898i | −0.111575 | + | 0.0416152i | ||||
\(859\) | −15.5622 | − | 13.4847i | −0.530976 | − | 0.460093i | 0.347636 | − | 0.937629i | \(-0.386984\pi\) |
−0.878612 | + | 0.477536i | \(0.841530\pi\) | |||||||
\(860\) | 4.80911 | + | 11.2972i | 0.163989 | + | 0.385230i | ||||
\(861\) | 2.56554 | − | 1.17164i | 0.0874335 | − | 0.0399295i | ||||
\(862\) | 14.5479 | − | 7.94378i | 0.495505 | − | 0.270566i | ||||
\(863\) | −42.8117 | + | 23.3769i | −1.45733 | + | 0.795760i | −0.995817 | − | 0.0913755i | \(-0.970874\pi\) |
−0.461509 | + | 0.887135i | \(0.652692\pi\) | |||||||
\(864\) | 0.909632 | − | 0.415415i | 0.0309463 | − | 0.0141327i | ||||
\(865\) | 6.23259 | + | 14.6411i | 0.211914 | + | 0.497812i | ||||
\(866\) | −17.8822 | − | 15.4950i | −0.607661 | − | 0.526542i | ||||
\(867\) | −13.6937 | + | 5.10750i | −0.465064 | + | 0.173460i | ||||
\(868\) | 0.00609775 | + | 0.0280309i | 0.000206971 | + | 0.000951431i | ||||
\(869\) | −1.74848 | + | 0.251394i | −0.0593132 | + | 0.00852795i | ||||
\(870\) | 1.40866 | + | 4.09844i | 0.0477580 | + | 0.138950i | ||||
\(871\) | −44.4090 | + | 38.4806i | −1.50474 | + | 1.30387i | ||||
\(872\) | 1.99407 | − | 3.65186i | 0.0675276 | − | 0.123668i | ||||
\(873\) | −3.52333 | − | 3.52333i | −0.119247 | − | 0.119247i | ||||
\(874\) | −1.42406 | + | 19.0148i | −0.0481694 | + | 0.643186i | ||||
\(875\) | −4.94738 | + | 0.321892i | −0.167252 | + | 0.0108819i | ||||
\(876\) | 0.250286 | − | 0.0734905i | 0.00845637 | − | 0.00248301i | ||||
\(877\) | 2.24500 | − | 31.3893i | 0.0758084 | − | 1.05994i | −0.807106 | − | 0.590406i | \(-0.798968\pi\) |
0.882915 | − | 0.469534i | \(-0.155578\pi\) | |||||||
\(878\) | −0.0719302 | + | 0.330658i | −0.00242753 | + | 0.0111592i | ||||
\(879\) | 2.07359 | + | 14.4221i | 0.0699404 | + | 0.486446i | ||||
\(880\) | 1.25086 | − | 1.18759i | 0.0421666 | − | 0.0400337i | ||||
\(881\) | 10.4929 | + | 4.79196i | 0.353516 | + | 0.161445i | 0.584255 | − | 0.811570i | \(-0.301387\pi\) |
−0.230739 | + | 0.973016i | \(0.574114\pi\) | |||||||
\(882\) | −6.78602 | + | 0.485346i | −0.228497 | + | 0.0163425i | ||||
\(883\) | −7.40544 | − | 9.89251i | −0.249213 | − | 0.332909i | 0.658438 | − | 0.752635i | \(-0.271217\pi\) |
−0.907651 | + | 0.419725i | \(0.862126\pi\) | |||||||
\(884\) | −2.90093 | − | 6.35214i | −0.0975687 | − | 0.213646i | ||||
\(885\) | −4.04501 | − | 15.2266i | −0.135972 | − | 0.511838i | ||||
\(886\) | −23.2771 | − | 6.83478i | −0.782010 | − | 0.229619i | ||||
\(887\) | −4.55925 | + | 12.2238i | −0.153085 | + | 0.410436i | −0.990742 | − | 0.135761i | \(-0.956652\pi\) |
0.837657 | + | 0.546197i | \(0.183925\pi\) | |||||||
\(888\) | −1.67039 | + | 1.25044i | −0.0560546 | + | 0.0419619i | ||||
\(889\) | −5.07115 | + | 5.85242i | −0.170081 | + | 0.196284i | ||||
\(890\) | −0.318837 | + | 0.0374288i | −0.0106874 | + | 0.00125462i | ||||
\(891\) | 0.417032 | − | 0.648915i | 0.0139711 | − | 0.0217395i | ||||
\(892\) | −14.5397 | + | 19.4227i | −0.486825 | + | 0.650321i | ||||
\(893\) | 13.7554 | + | 2.99231i | 0.460308 | + | 0.100134i | ||||
\(894\) | 1.91260 | + | 2.20726i | 0.0639668 | + | 0.0738217i | ||||
\(895\) | 0.999697 | + | 21.9770i | 0.0334162 | + | 0.734608i | ||||
\(896\) | 0.443443i | 0.0148144i | ||||||||
\(897\) | 11.7859 | − | 18.2047i | 0.393519 | − | 0.607837i | ||||
\(898\) | 25.2216 | − | 25.2216i | 0.841655 | − | 0.841655i | ||||
\(899\) | −0.0353230 | − | 0.120299i | −0.00117809 | − | 0.00401220i | ||||
\(900\) | −1.15796 | − | 4.86407i | −0.0385987 | − | 0.162136i | ||||
\(901\) | −0.713028 | + | 0.458235i | −0.0237544 | + | 0.0152660i | ||||
\(902\) | 3.92754 | + | 2.94012i | 0.130773 | + | 0.0978952i | ||||
\(903\) | −2.37929 | + | 0.517582i | −0.0791777 | + | 0.0172240i | ||||
\(904\) | −5.76751 | + | 12.6291i | −0.191824 | + | 0.420037i | ||||
\(905\) | 24.1892 | + | 34.1235i | 0.804077 | + | 1.13430i | ||||
\(906\) | 2.04515 | − | 14.2243i | 0.0679455 | − | 0.472571i | ||||
\(907\) | −38.0986 | − | 14.2101i | −1.26504 | − | 0.471837i | −0.374709 | − | 0.927143i | \(-0.622257\pi\) |
−0.890335 | + | 0.455305i | \(0.849530\pi\) | |||||||
\(908\) | −9.38670 | − | 17.1905i | −0.311509 | − | 0.570485i | ||||
\(909\) | −0.108736 | + | 0.370320i | −0.00360654 | + | 0.0122827i | ||||
\(910\) | −3.70793 | − | 2.52120i | −0.122917 | − | 0.0835771i | ||||
\(911\) | −3.74754 | − | 0.538815i | −0.124162 | − | 0.0178517i | 0.0799539 | − | 0.996799i | \(-0.474523\pi\) |
−0.204115 | + | 0.978947i | \(0.565432\pi\) | |||||||
\(912\) | 0.283642 | + | 3.96584i | 0.00939234 | + | 0.131322i | ||||
\(913\) | −0.385836 | − | 1.03447i | −0.0127693 | − | 0.0342359i | ||||
\(914\) | 4.90095 | + | 3.14965i | 0.162109 | + | 0.104181i | ||||
\(915\) | −9.14611 | + | 7.51876i | −0.302361 | + | 0.248563i | ||||
\(916\) | 1.99936 | + | 3.11107i | 0.0660607 | + | 0.102793i | ||||
\(917\) | −3.44297 | − | 0.246246i | −0.113697 | − | 0.00813176i | ||||
\(918\) | 1.35537 | + | 0.740089i | 0.0447339 | + | 0.0244266i | ||||
\(919\) | 20.4472 | 0.674490 | 0.337245 | − | 0.941417i | \(-0.390505\pi\) | ||||
0.337245 | + | 0.941417i | \(0.390505\pi\) | |||||||
\(920\) | −1.83642 | + | 10.5654i | −0.0605448 | + | 0.348331i | ||||
\(921\) | 29.3337 | 0.966580 | ||||||||
\(922\) | 4.92198 | + | 2.68760i | 0.162097 | + | 0.0885115i | ||||
\(923\) | 20.8225 | + | 1.48926i | 0.685381 | + | 0.0490194i | ||||
\(924\) | 0.184930 | + | 0.287757i | 0.00608375 | + | 0.00946650i | ||||
\(925\) | 4.51833 | + | 9.40370i | 0.148562 | + | 0.309192i | ||||
\(926\) | 17.7998 | + | 11.4392i | 0.584937 | + | 0.375916i | ||||
\(927\) | −1.64297 | − | 4.40498i | −0.0539623 | − | 0.144679i | ||||
\(928\) | −0.138264 | − | 1.93318i | −0.00453874 | − | 0.0634598i | ||||
\(929\) | 11.9457 | + | 1.71753i | 0.391926 | + | 0.0563504i | 0.335461 | − | 0.942054i | \(-0.391108\pi\) |
0.0564651 | + | 0.998405i | \(0.482017\pi\) | |||||||
\(930\) | 0.0270711 | + | 0.142096i | 0.000887698 | + | 0.00465952i | ||||
\(931\) | 7.62085 | − | 25.9542i | 0.249763 | − | 0.850616i | ||||
\(932\) | −9.59605 | − | 17.5739i | −0.314329 | − | 0.575651i | ||||
\(933\) | −16.3747 | − | 6.10746i | −0.536085 | − | 0.199949i | ||||
\(934\) | 5.98167 | − | 41.6034i | 0.195726 | − | 1.36131i | ||||
\(935\) | 2.62576 | + | 0.447332i | 0.0858717 | + | 0.0146293i | ||||
\(936\) | 1.87851 | − | 4.11337i | 0.0614011 | − | 0.134450i | ||||
\(937\) | −20.8117 | + | 4.52731i | −0.679888 | + | 0.147901i | −0.539231 | − | 0.842158i | \(-0.681285\pi\) |
−0.140657 | + | 0.990058i | \(0.544921\pi\) | |||||||
\(938\) | 4.61299 | + | 3.45324i | 0.150620 | + | 0.112752i | ||||
\(939\) | 4.23888 | − | 2.72417i | 0.138331 | − | 0.0888998i | ||||
\(940\) | 7.53581 | + | 2.42675i | 0.245791 | + | 0.0791518i | ||||
\(941\) | −6.02064 | − | 20.5044i | −0.196267 | − | 0.668425i | −0.997538 | − | 0.0701234i | \(-0.977661\pi\) |
0.801271 | − | 0.598302i | \(-0.204157\pi\) | |||||||
\(942\) | 0.856222 | − | 0.856222i | 0.0278972 | − | 0.0278972i | ||||
\(943\) | −30.5026 | − | 0.102259i | −0.993302 | − | 0.00333001i | ||||
\(944\) | 7.04574i | 0.229319i | ||||||||
\(945\) | 0.990544 | − | 0.0450583i | 0.0322224 | − | 0.00146575i | ||||
\(946\) | −2.77369 | − | 3.20101i | −0.0901806 | − | 0.104074i | ||||
\(947\) | −44.0541 | − | 9.58337i | −1.43156 | − | 0.311418i | −0.571080 | − | 0.820894i | \(-0.693475\pi\) |
−0.860485 | + | 0.509477i | \(0.829839\pi\) | |||||||
\(948\) | 1.37237 | − | 1.83327i | 0.0445726 | − | 0.0595420i | ||||
\(949\) | 0.637727 | − | 0.992323i | 0.0207015 | − | 0.0322122i | ||||
\(950\) | 19.7290 | + | 2.44469i | 0.640092 | + | 0.0793162i | ||||
\(951\) | −1.91673 | + | 2.21202i | −0.0621541 | + | 0.0717297i | ||||
\(952\) | −0.548206 | + | 0.410382i | −0.0177675 | + | 0.0133006i | ||||
\(953\) | −7.39182 | + | 19.8182i | −0.239445 | + | 0.641976i | −0.999973 | − | 0.00732870i | \(-0.997667\pi\) |
0.760529 | + | 0.649304i | \(0.224940\pi\) | |||||||
\(954\) | −0.526622 | − | 0.154630i | −0.0170500 | − | 0.00500633i | ||||
\(955\) | 28.9888 | − | 49.9626i | 0.938057 | − | 1.61675i | ||||
\(956\) | 1.73987 | + | 3.80978i | 0.0562713 | + | 0.123217i | ||||
\(957\) | −0.895921 | − | 1.19681i | −0.0289610 | − | 0.0386874i | ||||
\(958\) | −3.89866 | + | 0.278838i | −0.125960 | + | 0.00900884i | ||||
\(959\) | −8.97701 | − | 4.09966i | −0.289883 | − | 0.132385i | ||||
\(960\) | −0.0580032 | + | 2.23532i | −0.00187205 | + | 0.0721445i | ||||
\(961\) | 4.41116 | + | 30.6803i | 0.142296 | + | 0.989688i | ||||
\(962\) | −2.00566 | + | 9.21988i | −0.0646652 | + | 0.297261i | ||||
\(963\) | −0.811651 | + | 11.3484i | −0.0261551 | + | 0.365696i | ||||
\(964\) | 27.5951 | − | 8.10265i | 0.888778 | − | 0.260969i | ||||
\(965\) | 25.5720 | − | 15.5119i | 0.823191 | − | 0.499345i | ||||
\(966\) | −1.99009 | − | 0.749874i | −0.0640300 | − | 0.0241268i | ||||
\(967\) | −23.3542 | − | 23.3542i | −0.751021 | − | 0.751021i | 0.223649 | − | 0.974670i | \(-0.428203\pi\) |
−0.974670 | + | 0.223649i | \(0.928203\pi\) | |||||||
\(968\) | 4.98658 | − | 9.13224i | 0.160275 | − | 0.293521i | ||||
\(969\) | −4.64027 | + | 4.02082i | −0.149067 | + | 0.129167i | ||||
\(970\) | 10.5367 | − | 3.62154i | 0.338314 | − | 0.116281i | ||||
\(971\) | −15.6975 | + | 2.25696i | −0.503757 | + | 0.0724293i | −0.389509 | − | 0.921023i | \(-0.627355\pi\) |
−0.114249 | + | 0.993452i | \(0.536446\pi\) | |||||||
\(972\) | 0.212565 | + | 0.977147i | 0.00681803 | + | 0.0313420i | ||||
\(973\) | 3.42668 | − | 1.27809i | 0.109854 | − | 0.0409736i | ||||
\(974\) | −20.9425 | − | 18.1468i | −0.671041 | − | 0.581460i | ||||
\(975\) | −18.3612 | − | 13.1939i | −0.588030 | − | 0.422544i | ||||
\(976\) | 4.81647 | − | 2.19961i | 0.154171 | − | 0.0704077i | ||||
\(977\) | 30.1824 | − | 16.4808i | 0.965620 | − | 0.527268i | 0.0825893 | − | 0.996584i | \(-0.473681\pi\) |
0.883031 | + | 0.469315i | \(0.155499\pi\) | |||||||
\(978\) | −2.10379 | + | 1.14876i | −0.0672718 | + | 0.0367332i | ||||
\(979\) | 0.100735 | − | 0.0460043i | 0.00321951 | − | 0.00147030i | ||||
\(980\) | 5.68427 | − | 14.1109i | 0.181577 | − | 0.450756i | ||||
\(981\) | 3.14453 | + | 2.72475i | 0.100397 | + | 0.0869947i | ||||
\(982\) | −34.5810 | + | 12.8980i | −1.10352 | + | 0.411593i | ||||
\(983\) | 6.25716 | + | 28.7637i | 0.199572 | + | 0.917420i | 0.962573 | + | 0.271022i | \(0.0873616\pi\) |
−0.763001 | + | 0.646398i | \(0.776275\pi\) | |||||||
\(984\) | −6.29553 | + | 0.905161i | −0.200694 | + | 0.0288555i | ||||
\(985\) | 31.6956 | + | 15.4808i | 1.00991 | + | 0.493260i | ||||
\(986\) | 2.26194 | − | 1.95998i | 0.0720349 | − | 0.0624186i | ||||
\(987\) | −0.752437 | + | 1.37799i | −0.0239503 | + | 0.0438618i | ||||
\(988\) | 12.7133 | + | 12.7133i | 0.404466 | + | 0.404466i | ||||
\(989\) | 25.7130 | + | 5.68388i | 0.817627 | + | 0.180737i | ||||
\(990\) | 0.894560 | + | 1.47472i | 0.0284310 | + | 0.0468696i | ||||
\(991\) | −3.65555 | + | 1.07337i | −0.116122 | + | 0.0340966i | −0.339277 | − | 0.940686i | \(-0.610183\pi\) |
0.223155 | + | 0.974783i | \(0.428364\pi\) | |||||||
\(992\) | 0.00461496 | − | 0.0645255i | 0.000146525 | − | 0.00204869i | ||||
\(993\) | 3.94665 | − | 18.1424i | 0.125243 | − | 0.575733i | ||||
\(994\) | −0.291338 | − | 2.02630i | −0.00924068 | − | 0.0642704i | ||||
\(995\) | 32.2167 | + | 33.9332i | 1.02134 | + | 1.07575i | ||||
\(996\) | 1.30198 | + | 0.594596i | 0.0412549 | + | 0.0188405i | ||||
\(997\) | 37.4678 | − | 2.67975i | 1.18662 | − | 0.0848685i | 0.535962 | − | 0.844242i | \(-0.319949\pi\) |
0.650655 | + | 0.759374i | \(0.274494\pi\) | |||||||
\(998\) | 21.2761 | + | 28.4215i | 0.673483 | + | 0.899668i | ||||
\(999\) | −0.866794 | − | 1.89801i | −0.0274242 | − | 0.0600505i |
(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 | 690.2.w.b.37.3 | ✓ | 240 | |
5.3 | odd | 4 | inner | 690.2.w.b.313.4 | yes | 240 | |
23.5 | odd | 22 | inner | 690.2.w.b.97.4 | yes | 240 | |
115.28 | even | 44 | inner | 690.2.w.b.373.3 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.w.b.37.3 | ✓ | 240 | 1.1 | even | 1 | trivial | |
690.2.w.b.97.4 | yes | 240 | 23.5 | odd | 22 | inner | |
690.2.w.b.313.4 | yes | 240 | 5.3 | odd | 4 | inner | |
690.2.w.b.373.3 | yes | 240 | 115.28 | even | 44 | inner |