Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [675,2,Mod(76,675)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(675, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([14, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("675.76");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 675 = 3^{3} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 675.l (of order \(9\), degree \(6\), 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: | \(5.38990213644\) |
Analytic rank: | \(0\) |
Dimension: | \(66\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 76.8 | ||
Character | \(\chi\) | \(=\) | 675.76 |
Dual form | 675.2.l.f.151.8 |
$q$-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 \(\left(\mathbb{Z}/675\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.672508 | − | 0.564301i | 0.475535 | − | 0.399021i | −0.373274 | − | 0.927721i | \(-0.621765\pi\) |
0.848809 | + | 0.528700i | \(0.177320\pi\) | |||||||
\(3\) | 1.45527 | − | 0.939248i | 0.840201 | − | 0.542275i | ||||
\(4\) | −0.213465 | + | 1.21062i | −0.106733 | + | 0.605310i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.448662 | − | 1.45286i | 0.183166 | − | 0.593129i | ||||
\(7\) | −0.0883715 | − | 0.501180i | −0.0334013 | − | 0.189428i | 0.963542 | − | 0.267557i | \(-0.0862165\pi\) |
−0.996943 | + | 0.0781292i | \(0.975105\pi\) | |||||||
\(8\) | 1.41750 | + | 2.45517i | 0.501160 | + | 0.868035i | ||||
\(9\) | 1.23563 | − | 2.73372i | 0.411875 | − | 0.911240i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.28041 | + | 0.830001i | 0.687569 | + | 0.250255i | 0.662094 | − | 0.749421i | \(-0.269668\pi\) |
0.0254752 | + | 0.999675i | \(0.491890\pi\) | |||||||
\(12\) | 0.826424 | + | 1.96228i | 0.238568 | + | 0.566461i | ||||
\(13\) | 4.85915 | + | 4.07731i | 1.34769 | + | 1.13084i | 0.979579 | + | 0.201059i | \(0.0644383\pi\) |
0.368107 | + | 0.929784i | \(0.380006\pi\) | |||||||
\(14\) | −0.342247 | − | 0.287179i | −0.0914694 | − | 0.0767519i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.0284139 | + | 0.0103418i | 0.00710347 | + | 0.00258545i | ||||
\(17\) | −2.86909 | + | 4.96942i | −0.695857 | + | 1.20526i | 0.274033 | + | 0.961720i | \(0.411642\pi\) |
−0.969891 | + | 0.243540i | \(0.921691\pi\) | |||||||
\(18\) | −0.711675 | − | 2.53572i | −0.167743 | − | 0.597674i | ||||
\(19\) | −1.94493 | − | 3.36871i | −0.446197 | − | 0.772835i | 0.551938 | − | 0.833885i | \(-0.313889\pi\) |
−0.998135 | + | 0.0610497i | \(0.980555\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.599337 | − | 0.646349i | −0.130786 | − | 0.141045i | ||||
\(22\) | 2.00197 | − | 0.728656i | 0.426820 | − | 0.155350i | ||||
\(23\) | 1.12370 | − | 6.37282i | 0.234308 | − | 1.32882i | −0.609760 | − | 0.792586i | \(-0.708734\pi\) |
0.844067 | − | 0.536238i | \(-0.180155\pi\) | |||||||
\(24\) | 4.36886 | + | 2.24156i | 0.891789 | + | 0.457557i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 5.56865 | 1.09210 | ||||||||
\(27\) | −0.769474 | − | 5.13886i | −0.148085 | − | 0.988975i | ||||
\(28\) | 0.625603 | 0.118228 | ||||||||
\(29\) | −0.324767 | + | 0.272512i | −0.0603078 | + | 0.0506042i | −0.672443 | − | 0.740149i | \(-0.734755\pi\) |
0.612136 | + | 0.790753i | \(0.290311\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.47718 | − | 8.37750i | 0.265309 | − | 1.50464i | −0.502844 | − | 0.864377i | \(-0.667713\pi\) |
0.768153 | − | 0.640266i | \(-0.221176\pi\) | |||||||
\(32\) | −5.30309 | + | 1.93017i | −0.937464 | + | 0.341209i | ||||
\(33\) | 4.09819 | − | 0.933994i | 0.713403 | − | 0.162588i | ||||
\(34\) | 0.874759 | + | 4.96101i | 0.150020 | + | 0.850806i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 3.04574 | + | 2.07943i | 0.507623 | + | 0.346571i | ||||
\(37\) | −1.19190 | + | 2.06443i | −0.195947 | + | 0.339390i | −0.947210 | − | 0.320612i | \(-0.896111\pi\) |
0.751264 | + | 0.660002i | \(0.229445\pi\) | |||||||
\(38\) | −3.20895 | − | 1.16796i | −0.520560 | − | 0.189468i | ||||
\(39\) | 10.9010 | + | 1.36964i | 1.74555 | + | 0.219318i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.938033 | + | 0.787103i | 0.146496 | + | 0.122925i | 0.713090 | − | 0.701072i | \(-0.247295\pi\) |
−0.566594 | + | 0.823997i | \(0.691739\pi\) | |||||||
\(42\) | −0.767795 | − | 0.0964687i | −0.118473 | − | 0.0148854i | ||||
\(43\) | 2.34944 | + | 0.855127i | 0.358287 | + | 0.130406i | 0.514891 | − | 0.857256i | \(-0.327832\pi\) |
−0.156604 | + | 0.987661i | \(0.550055\pi\) | |||||||
\(44\) | −1.49160 | + | 2.58353i | −0.224868 | + | 0.389482i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.84049 | − | 4.91988i | −0.418808 | − | 0.725396i | ||||
\(47\) | 0.143949 | + | 0.816377i | 0.0209972 | + | 0.119081i | 0.993505 | − | 0.113790i | \(-0.0362991\pi\) |
−0.972508 | + | 0.232871i | \(0.925188\pi\) | |||||||
\(48\) | 0.0510634 | − | 0.0116376i | 0.00737037 | − | 0.00167974i | ||||
\(49\) | 6.33448 | − | 2.30556i | 0.904925 | − | 0.329366i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.492208 | + | 9.92664i | 0.0689229 | + | 1.39001i | ||||
\(52\) | −5.97334 | + | 5.01222i | −0.828353 | + | 0.695070i | ||||
\(53\) | −8.88536 | −1.22050 | −0.610249 | − | 0.792210i | \(-0.708931\pi\) | ||||
−0.610249 | + | 0.792210i | \(0.708931\pi\) | |||||||
\(54\) | −3.41735 | − | 3.02171i | −0.465042 | − | 0.411203i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 1.10522 | − | 0.927387i | 0.147691 | − | 0.123927i | ||||
\(57\) | −5.99445 | − | 3.07562i | −0.793984 | − | 0.407376i | ||||
\(58\) | −0.0646297 | + | 0.366533i | −0.00848630 | + | 0.0481282i | ||||
\(59\) | −6.58000 | + | 2.39492i | −0.856643 | + | 0.311792i | −0.732746 | − | 0.680503i | \(-0.761762\pi\) |
−0.123897 | + | 0.992295i | \(0.539539\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.558258 | + | 3.16604i | 0.0714776 | + | 0.405369i | 0.999463 | + | 0.0327541i | \(0.0104278\pi\) |
−0.927986 | + | 0.372615i | \(0.878461\pi\) | |||||||
\(62\) | −3.73402 | − | 6.46751i | −0.474221 | − | 0.821375i | ||||
\(63\) | −1.47928 | − | 0.377687i | −0.186372 | − | 0.0475841i | ||||
\(64\) | −2.50742 | + | 4.34297i | −0.313427 | + | 0.542871i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 2.22901 | − | 2.94073i | 0.274372 | − | 0.361979i | ||||
\(67\) | −5.32923 | − | 4.47176i | −0.651070 | − | 0.546312i | 0.256326 | − | 0.966590i | \(-0.417488\pi\) |
−0.907395 | + | 0.420278i | \(0.861932\pi\) | |||||||
\(68\) | −5.40363 | − | 4.53418i | −0.655286 | − | 0.549850i | ||||
\(69\) | −4.35037 | − | 10.3296i | −0.523723 | − | 1.24354i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.59927 | + | 2.77002i | −0.189799 | + | 0.328741i | −0.945183 | − | 0.326541i | \(-0.894117\pi\) |
0.755384 | + | 0.655282i | \(0.227450\pi\) | |||||||
\(72\) | 8.46325 | − | 0.841362i | 0.997404 | − | 0.0991554i | ||||
\(73\) | 5.99262 | + | 10.3795i | 0.701383 | + | 1.21483i | 0.967981 | + | 0.251024i | \(0.0807672\pi\) |
−0.266598 | + | 0.963808i | \(0.585899\pi\) | |||||||
\(74\) | 0.363398 | + | 2.06093i | 0.0422442 | + | 0.239579i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.49341 | − | 1.63547i | 0.515429 | − | 0.187601i | ||||
\(77\) | 0.214457 | − | 1.21624i | 0.0244396 | − | 0.138604i | ||||
\(78\) | 8.10390 | − | 5.23035i | 0.917585 | − | 0.592220i | ||||
\(79\) | 2.06451 | − | 1.73233i | 0.232276 | − | 0.194903i | −0.519220 | − | 0.854641i | \(-0.673777\pi\) |
0.751495 | + | 0.659738i | \(0.229333\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −5.94646 | − | 6.75571i | −0.660718 | − | 0.750634i | ||||
\(82\) | 1.07500 | 0.118714 | ||||||||
\(83\) | −6.00558 | + | 5.03928i | −0.659198 | + | 0.553133i | −0.909846 | − | 0.414945i | \(-0.863801\pi\) |
0.250648 | + | 0.968078i | \(0.419356\pi\) | |||||||
\(84\) | 0.910421 | − | 0.587596i | 0.0993351 | − | 0.0641120i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 2.06257 | − | 0.750714i | 0.222412 | − | 0.0809515i | ||||
\(87\) | −0.216668 | + | 0.701616i | −0.0232292 | + | 0.0752211i | ||||
\(88\) | 1.19467 | + | 6.77532i | 0.127353 | + | 0.722252i | ||||
\(89\) | −9.24733 | − | 16.0168i | −0.980215 | − | 1.69778i | −0.661525 | − | 0.749923i | \(-0.730091\pi\) |
−0.318690 | − | 0.947859i | \(-0.603243\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.61406 | − | 2.79563i | 0.169199 | − | 0.293061i | ||||
\(92\) | 7.47519 | + | 2.72075i | 0.779343 | + | 0.283658i | ||||
\(93\) | −5.71886 | − | 13.5790i | −0.593018 | − | 1.40807i | ||||
\(94\) | 0.557490 | + | 0.467789i | 0.0575007 | + | 0.0482488i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −5.90453 | + | 7.78984i | −0.602629 | + | 0.795047i | ||||
\(97\) | 7.86099 | + | 2.86117i | 0.798163 | + | 0.290508i | 0.708725 | − | 0.705485i | \(-0.249271\pi\) |
0.0894380 | + | 0.995992i | \(0.471493\pi\) | |||||||
\(98\) | 2.95896 | − | 5.12506i | 0.298900 | − | 0.517710i | ||||
\(99\) | 5.08672 | − | 5.20843i | 0.511235 | − | 0.523467i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 0.772822 | + | 4.38289i | 0.0768986 | + | 0.436114i | 0.998813 | + | 0.0487190i | \(0.0155139\pi\) |
−0.921914 | + | 0.387395i | \(0.873375\pi\) | |||||||
\(102\) | 5.93263 | + | 6.39799i | 0.587418 | + | 0.633496i | ||||
\(103\) | −10.4849 | + | 3.81618i | −1.03310 | + | 0.376019i | −0.802262 | − | 0.596972i | \(-0.796370\pi\) |
−0.230842 | + | 0.972991i | \(0.574148\pi\) | |||||||
\(104\) | −3.12269 | + | 17.7096i | −0.306204 | + | 1.73657i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −5.97548 | + | 5.01402i | −0.580390 | + | 0.487005i | ||||
\(107\) | −11.5176 | −1.11345 | −0.556724 | − | 0.830698i | \(-0.687942\pi\) | ||||
−0.556724 | + | 0.830698i | \(0.687942\pi\) | |||||||
\(108\) | 6.38547 | + | 0.165427i | 0.614442 | + | 0.0159182i | ||||
\(109\) | −16.8148 | −1.61057 | −0.805285 | − | 0.592888i | \(-0.797988\pi\) | ||||
−0.805285 | + | 0.592888i | \(0.797988\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.204476 | + | 4.12379i | 0.0194080 | + | 0.391413i | ||||
\(112\) | 0.00267213 | − | 0.0151544i | 0.000252492 | − | 0.00143195i | ||||
\(113\) | −10.0593 | + | 3.66129i | −0.946301 | + | 0.344425i | −0.768651 | − | 0.639668i | \(-0.779072\pi\) |
−0.177650 | + | 0.984094i | \(0.556849\pi\) | |||||||
\(114\) | −5.76689 | + | 1.31430i | −0.540119 | + | 0.123095i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −0.260582 | − | 0.451342i | −0.0241945 | − | 0.0419060i | ||||
\(117\) | 17.1503 | − | 8.24553i | 1.58555 | − | 0.762300i | ||||
\(118\) | −3.07364 | + | 5.32371i | −0.282952 | + | 0.490087i | ||||
\(119\) | 2.74412 | + | 0.998777i | 0.251553 | + | 0.0915577i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.91512 | − | 3.28518i | −0.355920 | − | 0.298653i | ||||
\(122\) | 2.16203 | + | 1.81416i | 0.195741 | + | 0.164246i | ||||
\(123\) | 2.10438 | + | 0.264402i | 0.189745 | + | 0.0238404i | ||||
\(124\) | 9.82665 | + | 3.57661i | 0.882459 | + | 0.321189i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −1.20796 | + | 0.580762i | −0.107613 | + | 0.0517384i | ||||
\(127\) | 3.89640 | + | 6.74877i | 0.345750 | + | 0.598857i | 0.985490 | − | 0.169735i | \(-0.0542912\pi\) |
−0.639740 | + | 0.768592i | \(0.720958\pi\) | |||||||
\(128\) | −1.19546 | − | 6.77978i | −0.105664 | − | 0.599253i | ||||
\(129\) | 4.22225 | − | 0.962268i | 0.371748 | − | 0.0847230i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.52245 | − | 8.63426i | 0.133017 | − | 0.754378i | −0.843203 | − | 0.537596i | \(-0.819333\pi\) |
0.976220 | − | 0.216783i | \(-0.0695563\pi\) | |||||||
\(132\) | 0.255892 | + | 5.16073i | 0.0222726 | + | 0.449184i | ||||
\(133\) | −1.51645 | + | 1.27246i | −0.131493 | + | 0.110336i | ||||
\(134\) | −6.10737 | −0.527597 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −16.2677 | −1.39494 | ||||||||
\(137\) | 12.2406 | − | 10.2711i | 1.04579 | − | 0.877519i | 0.0531421 | − | 0.998587i | \(-0.483076\pi\) |
0.992644 | + | 0.121068i | \(0.0386319\pi\) | |||||||
\(138\) | −8.75467 | − | 4.49182i | −0.745247 | − | 0.382369i | ||||
\(139\) | −0.582428 | + | 3.30311i | −0.0494009 | + | 0.280167i | −0.999494 | − | 0.0317992i | \(-0.989876\pi\) |
0.950093 | + | 0.311966i | \(0.100987\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.976266 | + | 1.05285i | 0.0822164 | + | 0.0886656i | ||||
\(142\) | 0.487603 | + | 2.76534i | 0.0409188 | + | 0.232062i | ||||
\(143\) | 7.69668 | + | 13.3310i | 0.643629 | + | 1.11480i | ||||
\(144\) | 0.0633805 | − | 0.0648970i | 0.00528171 | − | 0.00540808i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 9.88727 | + | 3.59867i | 0.818276 | + | 0.297828i | ||||
\(147\) | 7.05288 | − | 9.30486i | 0.581712 | − | 0.767452i | ||||
\(148\) | −2.24481 | − | 1.88362i | −0.184522 | − | 0.154833i | ||||
\(149\) | −1.64045 | − | 1.37650i | −0.134391 | − | 0.112767i | 0.573114 | − | 0.819475i | \(-0.305735\pi\) |
−0.707505 | + | 0.706708i | \(0.750179\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −14.8096 | − | 5.39026i | −1.20519 | − | 0.438653i | −0.340156 | − | 0.940369i | \(-0.610480\pi\) |
−0.865032 | + | 0.501716i | \(0.832702\pi\) | |||||||
\(152\) | 5.51385 | − | 9.55027i | 0.447232 | − | 0.774629i | ||||
\(153\) | 10.0399 | + | 13.9836i | 0.811675 | + | 1.13051i | ||||
\(154\) | −0.542104 | − | 0.938952i | −0.0436840 | − | 0.0756629i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −3.98510 | + | 12.9046i | −0.319063 | + | 1.03319i | ||||
\(157\) | 20.5892 | − | 7.49385i | 1.64320 | − | 0.598074i | 0.655602 | − | 0.755106i | \(-0.272415\pi\) |
0.987594 | + | 0.157032i | \(0.0501925\pi\) | |||||||
\(158\) | 0.410845 | − | 2.33002i | 0.0326851 | − | 0.185366i | ||||
\(159\) | −12.9306 | + | 8.34556i | −1.02546 | + | 0.661846i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −3.29323 | −0.259543 | ||||||||
\(162\) | −7.81130 | − | 1.18767i | −0.613714 | − | 0.0933125i | ||||
\(163\) | 19.9707 | 1.56423 | 0.782115 | − | 0.623134i | \(-0.214141\pi\) | ||||
0.782115 | + | 0.623134i | \(0.214141\pi\) | |||||||
\(164\) | −1.15312 | + | 0.967584i | −0.0900436 | + | 0.0755556i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.19513 | + | 6.77791i | −0.0927600 | + | 0.526068i | ||||
\(167\) | −16.2833 | + | 5.92664i | −1.26004 | + | 0.458617i | −0.883783 | − | 0.467897i | \(-0.845012\pi\) |
−0.376258 | + | 0.926515i | \(0.622789\pi\) | |||||||
\(168\) | 0.737343 | − | 2.38767i | 0.0568873 | − | 0.184213i | ||||
\(169\) | 4.72945 | + | 26.8220i | 0.363804 | + | 2.06323i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −11.6123 | + | 1.15442i | −0.888016 | + | 0.0882808i | ||||
\(172\) | −1.53676 | + | 2.66174i | −0.117177 | + | 0.202956i | ||||
\(173\) | −13.4604 | − | 4.89919i | −1.02338 | − | 0.372478i | −0.224821 | − | 0.974400i | \(-0.572180\pi\) |
−0.798555 | + | 0.601922i | \(0.794402\pi\) | |||||||
\(174\) | 0.250212 | + | 0.594109i | 0.0189685 | + | 0.0450393i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.0562116 | + | 0.0471671i | 0.00423711 | + | 0.00355535i | ||||
\(177\) | −7.32625 | + | 9.66551i | −0.550675 | + | 0.726505i | ||||
\(178\) | −15.2572 | − | 5.55318i | −1.14358 | − | 0.416228i | ||||
\(179\) | 12.1807 | − | 21.0976i | 0.910428 | − | 1.57691i | 0.0969684 | − | 0.995287i | \(-0.469085\pi\) |
0.813460 | − | 0.581621i | \(-0.197581\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.03955 | + | 3.53261i | 0.151599 | + | 0.262577i | 0.931815 | − | 0.362933i | \(-0.118225\pi\) |
−0.780217 | + | 0.625509i | \(0.784891\pi\) | |||||||
\(182\) | −0.492110 | − | 2.79090i | −0.0364776 | − | 0.206875i | ||||
\(183\) | 3.78611 | + | 4.08310i | 0.279877 | + | 0.301831i | ||||
\(184\) | 17.2392 | − | 6.27456i | 1.27089 | − | 0.462567i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −11.5086 | − | 5.90481i | −0.843852 | − | 0.432962i | ||||
\(187\) | −10.6673 | + | 8.95095i | −0.780072 | + | 0.654558i | ||||
\(188\) | −1.01905 | −0.0743219 | ||||||||
\(189\) | −2.50749 | + | 0.839774i | −0.182393 | + | 0.0610845i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 5.70298 | − | 4.78537i | 0.412653 | − | 0.346257i | −0.412707 | − | 0.910864i | \(-0.635417\pi\) |
0.825360 | + | 0.564607i | \(0.190972\pi\) | |||||||
\(192\) | 0.430160 | + | 8.67528i | 0.0310441 | + | 0.626085i | ||||
\(193\) | −1.60633 | + | 9.10995i | −0.115626 | + | 0.655749i | 0.870812 | + | 0.491616i | \(0.163594\pi\) |
−0.986438 | + | 0.164133i | \(0.947517\pi\) | |||||||
\(194\) | 6.90115 | − | 2.51181i | 0.495473 | − | 0.180338i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.43897 | + | 8.16081i | 0.102784 | + | 0.582915i | ||||
\(197\) | 4.51987 | + | 7.82865i | 0.322028 | + | 0.557768i | 0.980906 | − | 0.194481i | \(-0.0623023\pi\) |
−0.658879 | + | 0.752249i | \(0.728969\pi\) | |||||||
\(198\) | 0.481737 | − | 6.37316i | 0.0342356 | − | 0.452921i | ||||
\(199\) | 3.66921 | − | 6.35527i | 0.260104 | − | 0.450513i | −0.706166 | − | 0.708047i | \(-0.749577\pi\) |
0.966269 | + | 0.257534i | \(0.0829099\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −11.9556 | − | 1.50214i | −0.843281 | − | 0.105953i | ||||
\(202\) | 2.99300 | + | 2.51143i | 0.210587 | + | 0.176703i | ||||
\(203\) | 0.165278 | + | 0.138684i | 0.0116002 | + | 0.00973374i | ||||
\(204\) | −12.1225 | − | 1.52311i | −0.848742 | − | 0.106639i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −4.89768 | + | 8.48303i | −0.341238 | + | 0.591041i | ||||
\(207\) | −16.0330 | − | 10.9463i | −1.11437 | − | 0.760820i | ||||
\(208\) | 0.0959005 | + | 0.166105i | 0.00664950 | + | 0.0115173i | ||||
\(209\) | −1.63919 | − | 9.29633i | −0.113385 | − | 0.643041i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 15.6493 | − | 5.69586i | 1.07734 | − | 0.392119i | 0.258423 | − | 0.966032i | \(-0.416797\pi\) |
0.818917 | + | 0.573913i | \(0.194575\pi\) | |||||||
\(212\) | 1.89671 | − | 10.7568i | 0.130267 | − | 0.738780i | ||||
\(213\) | 0.274364 | + | 5.53325i | 0.0187991 | + | 0.379132i | ||||
\(214\) | −7.74568 | + | 6.49940i | −0.529484 | + | 0.444290i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 11.5261 | − | 9.17350i | 0.784250 | − | 0.624178i | ||||
\(217\) | −4.32917 | −0.293883 | ||||||||
\(218\) | −11.3081 | + | 9.48864i | −0.765882 | + | 0.642652i | ||||
\(219\) | 18.4698 | + | 9.47646i | 1.24808 | + | 0.640360i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −34.2032 | + | 12.4490i | −2.30076 | + | 0.837407i | ||||
\(222\) | 2.46457 | + | 2.65790i | 0.165411 | + | 0.178386i | ||||
\(223\) | −1.47210 | − | 8.34872i | −0.0985794 | − | 0.559072i | −0.993592 | − | 0.113030i | \(-0.963944\pi\) |
0.895012 | − | 0.446042i | \(-0.147167\pi\) | |||||||
\(224\) | 1.43600 | + | 2.48723i | 0.0959470 | + | 0.166185i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −4.69890 | + | 8.13874i | −0.312566 | + | 0.541381i | ||||
\(227\) | 9.11223 | + | 3.31658i | 0.604800 | + | 0.220129i | 0.626227 | − | 0.779641i | \(-0.284599\pi\) |
−0.0214263 | + | 0.999770i | \(0.506821\pi\) | |||||||
\(228\) | 5.00301 | − | 6.60047i | 0.331333 | − | 0.437127i | ||||
\(229\) | 0.120012 | + | 0.100702i | 0.00793060 | + | 0.00665457i | 0.646744 | − | 0.762707i | \(-0.276130\pi\) |
−0.638814 | + | 0.769361i | \(0.720575\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.830262 | − | 1.97139i | −0.0546272 | − | 0.129708i | ||||
\(232\) | −1.12942 | − | 0.411076i | −0.0741501 | − | 0.0269884i | ||||
\(233\) | −8.14148 | + | 14.1015i | −0.533366 | + | 0.923818i | 0.465874 | + | 0.884851i | \(0.345740\pi\) |
−0.999241 | + | 0.0389667i | \(0.987593\pi\) | |||||||
\(234\) | 6.88077 | − | 15.2231i | 0.449810 | − | 0.995168i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −1.49474 | − | 8.47711i | −0.0972995 | − | 0.551813i | ||||
\(237\) | 1.37734 | − | 4.46010i | 0.0894676 | − | 0.289715i | ||||
\(238\) | 2.40905 | − | 0.876823i | 0.156156 | − | 0.0568360i | ||||
\(239\) | −3.50159 | + | 19.8585i | −0.226499 | + | 1.28454i | 0.633299 | + | 0.773907i | \(0.281700\pi\) |
−0.859798 | + | 0.510634i | \(0.829411\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 20.2060 | − | 16.9549i | 1.30158 | − | 1.09216i | 0.311716 | − | 0.950175i | \(-0.399096\pi\) |
0.989869 | − | 0.141984i | \(-0.0453481\pi\) | |||||||
\(242\) | −4.48678 | −0.288421 | ||||||||
\(243\) | −14.9990 | − | 4.24618i | −0.962186 | − | 0.272393i | ||||
\(244\) | −3.95204 | −0.253003 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 1.56441 | − | 1.00969i | 0.0997434 | − | 0.0643755i | ||||
\(247\) | 4.28460 | − | 24.2991i | 0.272622 | − | 1.54612i | ||||
\(248\) | 22.6621 | − | 8.24833i | 1.43905 | − | 0.523770i | ||||
\(249\) | −4.00661 | + | 12.9742i | −0.253908 | + | 0.822209i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −10.6490 | − | 18.4446i | −0.672160 | − | 1.16422i | −0.977290 | − | 0.211905i | \(-0.932033\pi\) |
0.305130 | − | 0.952311i | \(-0.401300\pi\) | |||||||
\(252\) | 0.773011 | − | 1.71022i | 0.0486951 | − | 0.107734i | ||||
\(253\) | 7.85194 | − | 13.6000i | 0.493647 | − | 0.855022i | ||||
\(254\) | 6.42871 | + | 2.33986i | 0.403373 | + | 0.146816i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −12.3130 | − | 10.3318i | −0.769560 | − | 0.645737i | ||||
\(257\) | 8.82228 | + | 7.40277i | 0.550319 | + | 0.461772i | 0.875049 | − | 0.484034i | \(-0.160829\pi\) |
−0.324730 | + | 0.945807i | \(0.605274\pi\) | |||||||
\(258\) | 2.29649 | − | 3.02976i | 0.142973 | − | 0.188624i | ||||
\(259\) | 1.13998 | + | 0.414918i | 0.0708348 | + | 0.0257818i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.343681 | + | 1.22455i | 0.0212733 | + | 0.0757975i | ||||
\(262\) | −3.84846 | − | 6.66573i | −0.237759 | − | 0.411810i | ||||
\(263\) | 1.87867 | + | 10.6545i | 0.115844 | + | 0.656983i | 0.986329 | + | 0.164789i | \(0.0526942\pi\) |
−0.870485 | + | 0.492195i | \(0.836195\pi\) | |||||||
\(264\) | 8.10228 | + | 8.73784i | 0.498661 | + | 0.537777i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −0.301779 | + | 1.71147i | −0.0185033 | + | 0.104937i | ||||
\(267\) | −28.5012 | − | 14.6233i | −1.74424 | − | 0.894932i | ||||
\(268\) | 6.55121 | − | 5.49712i | 0.400179 | − | 0.335790i | ||||
\(269\) | −27.5918 | −1.68230 | −0.841152 | − | 0.540798i | \(-0.818122\pi\) | ||||
−0.841152 | + | 0.540798i | \(0.818122\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 22.2930 | 1.35421 | 0.677103 | − | 0.735889i | \(-0.263235\pi\) | ||||
0.677103 | + | 0.735889i | \(0.263235\pi\) | |||||||
\(272\) | −0.132915 | + | 0.111529i | −0.00805914 | + | 0.00676242i | ||||
\(273\) | −0.276899 | − | 5.58439i | −0.0167587 | − | 0.337983i | ||||
\(274\) | 2.43592 | − | 13.8148i | 0.147159 | − | 0.834582i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 13.4339 | − | 3.06164i | 0.808625 | − | 0.184289i | ||||
\(277\) | 3.55616 | + | 20.1680i | 0.213669 | + | 1.21178i | 0.883201 | + | 0.468994i | \(0.155383\pi\) |
−0.669532 | + | 0.742783i | \(0.733505\pi\) | |||||||
\(278\) | 1.47226 | + | 2.55004i | 0.0883006 | + | 0.152941i | ||||
\(279\) | −21.0765 | − | 14.3896i | −1.26182 | − | 0.861486i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 14.8184 | + | 5.39346i | 0.883993 | + | 0.321747i | 0.743820 | − | 0.668380i | \(-0.233012\pi\) |
0.140173 | + | 0.990127i | \(0.455234\pi\) | |||||||
\(282\) | 1.25067 | + | 0.157139i | 0.0744763 | + | 0.00935749i | ||||
\(283\) | −8.09200 | − | 6.78999i | −0.481019 | − | 0.403623i | 0.369776 | − | 0.929121i | \(-0.379435\pi\) |
−0.850795 | + | 0.525498i | \(0.823879\pi\) | |||||||
\(284\) | −3.01206 | − | 2.52742i | −0.178733 | − | 0.149975i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 12.6988 | + | 4.62199i | 0.750896 | + | 0.273304i | ||||
\(287\) | 0.311585 | − | 0.539681i | 0.0183923 | − | 0.0318564i | ||||
\(288\) | −1.27610 | + | 16.8821i | −0.0751946 | + | 0.994790i | ||||
\(289\) | −7.96339 | − | 13.7930i | −0.468435 | − | 0.811353i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 14.1272 | − | 3.21965i | 0.828152 | − | 0.188739i | ||||
\(292\) | −13.8449 | + | 5.03913i | −0.810211 | + | 0.294893i | ||||
\(293\) | 2.86499 | − | 16.2482i | 0.167375 | − | 0.949229i | −0.779207 | − | 0.626766i | \(-0.784378\pi\) |
0.946582 | − | 0.322463i | \(-0.104511\pi\) | |||||||
\(294\) | −0.507624 | − | 10.2375i | −0.0296052 | − | 0.597066i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −6.75804 | −0.392803 | ||||||||
\(297\) | 2.51055 | − | 12.3574i | 0.145677 | − | 0.717048i | ||||
\(298\) | −1.87998 | −0.108904 | ||||||||
\(299\) | 31.4442 | − | 26.3848i | 1.81846 | − | 1.52587i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.220949 | − | 1.25306i | 0.0127353 | − | 0.0722253i | ||||
\(302\) | −13.0013 | + | 4.73209i | −0.748142 | + | 0.272301i | ||||
\(303\) | 5.24129 | + | 5.65242i | 0.301104 | + | 0.324723i | ||||
\(304\) | −0.0204243 | − | 0.115832i | −0.00117142 | − | 0.00664343i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 14.6429 | + | 3.73860i | 0.837078 | + | 0.213721i | ||||
\(307\) | 7.16633 | − | 12.4125i | 0.409004 | − | 0.708416i | −0.585774 | − | 0.810474i | \(-0.699209\pi\) |
0.994778 | + | 0.102058i | \(0.0325428\pi\) | |||||||
\(308\) | 1.42663 | + | 0.519251i | 0.0812898 | + | 0.0295871i | ||||
\(309\) | −11.6740 | + | 15.4015i | −0.664109 | + | 0.876158i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 24.3502 | + | 20.4322i | 1.38077 | + | 1.15861i | 0.968926 | + | 0.247352i | \(0.0795605\pi\) |
0.411846 | + | 0.911253i | \(0.364884\pi\) | |||||||
\(312\) | 12.0894 | + | 28.7053i | 0.684427 | + | 1.62512i | ||||
\(313\) | −16.0443 | − | 5.83964i | −0.906876 | − | 0.330076i | −0.153871 | − | 0.988091i | \(-0.549174\pi\) |
−0.753005 | + | 0.658015i | \(0.771396\pi\) | |||||||
\(314\) | 9.61761 | − | 16.6582i | 0.542753 | − | 0.940076i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.65650 | + | 2.86914i | 0.0931852 | + | 0.161401i | ||||
\(317\) | 2.37080 | + | 13.4455i | 0.133157 | + | 0.755173i | 0.976125 | + | 0.217209i | \(0.0696952\pi\) |
−0.842968 | + | 0.537964i | \(0.819194\pi\) | |||||||
\(318\) | −3.98653 | + | 12.9092i | −0.223553 | + | 0.723913i | ||||
\(319\) | −0.966788 | + | 0.351882i | −0.0541297 | + | 0.0197016i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −16.7612 | + | 10.8179i | −0.935520 | + | 0.603795i | ||||
\(322\) | −2.21472 | + | 1.85837i | −0.123422 | + | 0.103563i | ||||
\(323\) | 22.3207 | 1.24196 | ||||||||
\(324\) | 9.44796 | − | 5.75680i | 0.524887 | − | 0.319822i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 13.4305 | − | 11.2695i | 0.743846 | − | 0.624161i | ||||
\(327\) | −24.4701 | + | 15.7933i | −1.35320 | + | 0.873372i | ||||
\(328\) | −0.602818 | + | 3.41875i | −0.0332851 | + | 0.188769i | ||||
\(329\) | 0.396431 | − | 0.144289i | 0.0218559 | − | 0.00795491i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.91646 | + | 27.8827i | 0.270233 | + | 1.53257i | 0.753707 | + | 0.657211i | \(0.228264\pi\) |
−0.483474 | + | 0.875359i | \(0.660625\pi\) | |||||||
\(332\) | −4.81867 | − | 8.34619i | −0.264459 | − | 0.458057i | ||||
\(333\) | 4.17083 | + | 5.80917i | 0.228560 | + | 0.318341i | ||||
\(334\) | −7.60625 | + | 13.1744i | −0.416196 | + | 0.720872i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −0.0103451 | − | 0.0245635i | −0.000564369 | − | 0.00134005i | ||||
\(337\) | 13.2795 | + | 11.1428i | 0.723379 | + | 0.606987i | 0.928318 | − | 0.371787i | \(-0.121255\pi\) |
−0.204938 | + | 0.978775i | \(0.565699\pi\) | |||||||
\(338\) | 18.3163 | + | 15.3692i | 0.996276 | + | 0.835975i | ||||
\(339\) | −11.2002 | + | 14.7764i | −0.608310 | + | 0.802542i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 10.3219 | − | 17.8781i | 0.558963 | − | 0.968152i | ||||
\(342\) | −7.15794 | + | 7.32921i | −0.387057 | + | 0.396318i | ||||
\(343\) | −3.49648 | − | 6.05608i | −0.188792 | − | 0.326997i | ||||
\(344\) | 1.23084 | + | 6.98043i | 0.0663623 | + | 0.376359i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −11.8168 | + | 4.30098i | −0.635278 | + | 0.231222i | ||||
\(347\) | 0.584994 | − | 3.31767i | 0.0314041 | − | 0.178102i | −0.965071 | − | 0.261988i | \(-0.915622\pi\) |
0.996475 | + | 0.0838860i | \(0.0267331\pi\) | |||||||
\(348\) | −0.803140 | − | 0.412073i | −0.0430528 | − | 0.0220894i | ||||
\(349\) | 5.25034 | − | 4.40556i | 0.281045 | − | 0.235824i | −0.491358 | − | 0.870958i | \(-0.663499\pi\) |
0.772402 | + | 0.635133i | \(0.219055\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 17.2138 | − | 28.1079i | 0.918802 | − | 1.50029i | ||||
\(352\) | −13.6953 | −0.729960 | ||||||||
\(353\) | 23.3547 | − | 19.5969i | 1.24304 | − | 1.04304i | 0.245763 | − | 0.969330i | \(-0.420961\pi\) |
0.997280 | − | 0.0737074i | \(-0.0234831\pi\) | |||||||
\(354\) | 0.527300 | + | 10.6344i | 0.0280257 | + | 0.565209i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 21.3643 | − | 7.77597i | 1.13231 | − | 0.412126i | ||||
\(357\) | 4.93153 | − | 1.12392i | 0.261004 | − | 0.0594840i | ||||
\(358\) | −3.71378 | − | 21.0619i | −0.196279 | − | 1.11316i | ||||
\(359\) | 7.50154 | + | 12.9931i | 0.395916 | + | 0.685747i | 0.993218 | − | 0.116270i | \(-0.0370937\pi\) |
−0.597301 | + | 0.802017i | \(0.703760\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.93452 | − | 3.35069i | 0.101817 | − | 0.176352i | ||||
\(362\) | 3.36507 | + | 1.22479i | 0.176864 | + | 0.0643733i | ||||
\(363\) | −8.78316 | − | 1.10355i | −0.460996 | − | 0.0579214i | ||||
\(364\) | 3.03990 | + | 2.55078i | 0.159334 | + | 0.133697i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 4.85029 | + | 0.609409i | 0.253529 | + | 0.0318543i | ||||
\(367\) | 15.5982 | + | 5.67728i | 0.814219 | + | 0.296351i | 0.715365 | − | 0.698751i | \(-0.246260\pi\) |
0.0988534 | + | 0.995102i | \(0.468483\pi\) | |||||||
\(368\) | 0.0978351 | − | 0.169455i | 0.00510000 | − | 0.00883347i | ||||
\(369\) | 3.31078 | − | 1.59176i | 0.172352 | − | 0.0828635i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.785213 | + | 4.45316i | 0.0407662 | + | 0.231197i | ||||
\(372\) | 17.6598 | − | 4.02473i | 0.915616 | − | 0.208673i | ||||
\(373\) | −6.57037 | + | 2.39142i | −0.340201 | + | 0.123823i | −0.506470 | − | 0.862257i | \(-0.669050\pi\) |
0.166269 | + | 0.986080i | \(0.446828\pi\) | |||||||
\(374\) | −2.12283 | + | 12.0392i | −0.109769 | + | 0.622531i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.80030 | + | 1.51063i | −0.0928434 | + | 0.0779048i | ||||
\(377\) | −2.68921 | −0.138501 | ||||||||
\(378\) | −1.21243 | + | 1.97974i | −0.0623604 | + | 0.101827i | ||||
\(379\) | −13.7794 | −0.707801 | −0.353901 | − | 0.935283i | \(-0.615145\pi\) | ||||
−0.353901 | + | 0.935283i | \(0.615145\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 12.0091 | + | 6.16160i | 0.615245 | + | 0.315668i | ||||
\(382\) | 1.13491 | − | 6.43640i | 0.0580671 | − | 0.329315i | ||||
\(383\) | −9.64267 | + | 3.50965i | −0.492718 | + | 0.179335i | −0.576416 | − | 0.817157i | \(-0.695549\pi\) |
0.0836981 | + | 0.996491i | \(0.473327\pi\) | |||||||
\(384\) | −8.10761 | − | 8.74358i | −0.413740 | − | 0.446194i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 4.06049 | + | 7.03297i | 0.206673 | + | 0.357969i | ||||
\(387\) | 5.24071 | − | 5.36610i | 0.266400 | − | 0.272774i | ||||
\(388\) | −5.14184 | + | 8.90592i | −0.261037 | + | 0.452130i | ||||
\(389\) | 36.0005 | + | 13.1031i | 1.82530 | + | 0.664354i | 0.994112 | + | 0.108358i | \(0.0345594\pi\) |
0.831185 | + | 0.555996i | \(0.187663\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 28.4452 | + | 23.8683i | 1.43853 | + | 1.20707i | ||||
\(392\) | 14.6396 | + | 12.2841i | 0.739414 | + | 0.620442i | ||||
\(393\) | −5.89413 | − | 13.9951i | −0.297320 | − | 0.705961i | ||||
\(394\) | 7.45737 | + | 2.71426i | 0.375697 | + | 0.136742i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 5.21960 | + | 7.26991i | 0.262295 | + | 0.365327i | ||||
\(397\) | −15.9911 | − | 27.6975i | −0.802573 | − | 1.39010i | −0.917917 | − | 0.396771i | \(-0.870131\pi\) |
0.115345 | − | 0.993326i | \(-0.463203\pi\) | |||||||
\(398\) | −1.11871 | − | 6.34451i | −0.0560758 | − | 0.318022i | ||||
\(399\) | −1.01170 | + | 3.27609i | −0.0506483 | + | 0.164010i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −0.893312 | + | 5.06623i | −0.0446099 | + | 0.252995i | −0.998955 | − | 0.0457121i | \(-0.985444\pi\) |
0.954345 | + | 0.298707i | \(0.0965554\pi\) | |||||||
\(402\) | −8.88788 | + | 5.73634i | −0.443287 | + | 0.286103i | ||||
\(403\) | 41.3355 | − | 34.6846i | 2.05907 | − | 1.72776i | ||||
\(404\) | −5.47099 | −0.272192 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.189410 | 0.00940028 | ||||||||
\(407\) | −4.43149 | + | 3.71846i | −0.219661 | + | 0.184317i | ||||
\(408\) | −23.6739 | + | 15.2794i | −1.17203 | + | 0.756444i | ||||
\(409\) | 4.07496 | − | 23.1102i | 0.201494 | − | 1.14273i | −0.701369 | − | 0.712799i | \(-0.747427\pi\) |
0.902863 | − | 0.429929i | \(-0.141462\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 8.16630 | − | 26.4442i | 0.402814 | − | 1.30440i | ||||
\(412\) | −2.38179 | − | 13.5078i | −0.117342 | − | 0.665482i | ||||
\(413\) | 1.78177 | + | 3.08612i | 0.0876752 | + | 0.151858i | ||||
\(414\) | −16.9594 | + | 1.68599i | −0.833507 | + | 0.0828618i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −33.6384 | − | 12.2434i | −1.64926 | − | 0.600281i | ||||
\(417\) | 2.25485 | + | 5.35397i | 0.110421 | + | 0.262185i | ||||
\(418\) | −6.34831 | − | 5.32686i | −0.310506 | − | 0.260545i | ||||
\(419\) | −7.14090 | − | 5.99192i | −0.348856 | − | 0.292725i | 0.451475 | − | 0.892284i | \(-0.350898\pi\) |
−0.800330 | + | 0.599559i | \(0.795343\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −22.7017 | − | 8.26276i | −1.10641 | − | 0.402702i | −0.276738 | − | 0.960945i | \(-0.589253\pi\) |
−0.829677 | + | 0.558243i | \(0.811476\pi\) | |||||||
\(422\) | 7.31007 | − | 12.6614i | 0.355849 | − | 0.616348i | ||||
\(423\) | 2.40961 | + | 0.615219i | 0.117159 | + | 0.0299130i | ||||
\(424\) | −12.5950 | − | 21.8151i | −0.611665 | − | 1.05943i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 3.30693 | + | 3.56633i | 0.160221 | + | 0.172789i | ||||
\(427\) | 1.53742 | − | 0.559575i | 0.0744009 | − | 0.0270797i | ||||
\(428\) | 2.45860 | − | 13.9434i | 0.118841 | − | 0.673982i | ||||
\(429\) | 23.7219 | + | 12.1712i | 1.14530 | + | 0.587630i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −10.5453 | −0.507950 | −0.253975 | − | 0.967211i | \(-0.581738\pi\) | ||||
−0.253975 | + | 0.967211i | \(0.581738\pi\) | |||||||
\(432\) | 0.0312814 | − | 0.153973i | 0.00150503 | − | 0.00740802i | ||||
\(433\) | −4.12615 | −0.198290 | −0.0991451 | − | 0.995073i | \(-0.531611\pi\) | ||||
−0.0991451 | + | 0.995073i | \(0.531611\pi\) | |||||||
\(434\) | −2.91141 | + | 2.44296i | −0.139752 | + | 0.117266i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 3.58938 | − | 20.3564i | 0.171900 | − | 0.974894i | ||||
\(437\) | −23.6537 | + | 8.60924i | −1.13151 | + | 0.411836i | ||||
\(438\) | 17.7687 | − | 4.04956i | 0.849021 | − | 0.193495i | ||||
\(439\) | −2.08794 | − | 11.8413i | −0.0996517 | − | 0.565153i | −0.993222 | − | 0.116230i | \(-0.962919\pi\) |
0.893571 | − | 0.448923i | \(-0.148192\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 1.52428 | − | 20.1655i | 0.0725847 | − | 0.960262i | ||||
\(442\) | −15.9770 | + | 27.6729i | −0.759948 | + | 1.31627i | ||||
\(443\) | 31.8626 | + | 11.5970i | 1.51384 | + | 0.550992i | 0.959600 | − | 0.281367i | \(-0.0907877\pi\) |
0.554237 | + | 0.832359i | \(0.313010\pi\) | |||||||
\(444\) | −5.03599 | − | 0.632742i | −0.238998 | − | 0.0300286i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −5.70120 | − | 4.78387i | −0.269960 | − | 0.226523i | ||||
\(447\) | −3.68018 | − | 0.462392i | −0.174066 | − | 0.0218704i | ||||
\(448\) | 2.39819 | + | 0.872871i | 0.113304 | + | 0.0412393i | ||||
\(449\) | 0.297582 | − | 0.515427i | 0.0140438 | − | 0.0243245i | −0.858918 | − | 0.512113i | \(-0.828863\pi\) |
0.872962 | + | 0.487788i | \(0.162196\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.48580 | + | 2.57349i | 0.0699638 | + | 0.121181i | ||||
\(452\) | −2.28512 | − | 12.9596i | −0.107483 | − | 0.609567i | ||||
\(453\) | −26.6148 | + | 6.06562i | −1.25047 | + | 0.284988i | ||||
\(454\) | 7.99960 | − | 2.91162i | 0.375440 | − | 0.136649i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −0.945929 | − | 19.0771i | −0.0442972 | − | 0.893367i | ||||
\(457\) | 6.79746 | − | 5.70374i | 0.317972 | − | 0.266810i | −0.469806 | − | 0.882770i | \(-0.655676\pi\) |
0.787778 | + | 0.615960i | \(0.211232\pi\) | |||||||
\(458\) | 0.137535 | 0.00642659 | ||||||||
\(459\) | 27.7448 | + | 10.9200i | 1.29502 | + | 0.509704i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −19.2142 | + | 16.1226i | −0.894895 | + | 0.750906i | −0.969186 | − | 0.246331i | \(-0.920775\pi\) |
0.0742911 | + | 0.997237i | \(0.476331\pi\) | |||||||
\(462\) | −1.67082 | − | 0.857259i | −0.0777335 | − | 0.0398833i | ||||
\(463\) | −1.99238 | + | 11.2994i | −0.0925939 | + | 0.525126i | 0.902864 | + | 0.429926i | \(0.141460\pi\) |
−0.995458 | + | 0.0952002i | \(0.969651\pi\) | |||||||
\(464\) | −0.0120462 | + | 0.00438444i | −0.000559229 | + | 0.000203543i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 2.48226 | + | 14.0776i | 0.114989 | + | 0.652132i | ||||
\(467\) | 0.328021 | + | 0.568149i | 0.0151790 | + | 0.0262908i | 0.873515 | − | 0.486797i | \(-0.161835\pi\) |
−0.858336 | + | 0.513088i | \(0.828502\pi\) | |||||||
\(468\) | 6.32122 | + | 22.5227i | 0.292198 | + | 1.04111i | ||||
\(469\) | −1.77020 | + | 3.06608i | −0.0817403 | + | 0.141578i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 22.9243 | − | 30.2439i | 1.05629 | − | 1.39357i | ||||
\(472\) | −15.2071 | − | 12.7602i | −0.699962 | − | 0.587338i | ||||
\(473\) | 4.64793 | + | 3.90008i | 0.213712 | + | 0.179326i | ||||
\(474\) | −1.59057 | − | 3.77669i | −0.0730575 | − | 0.173469i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −1.79491 | + | 3.10888i | −0.0822697 | + | 0.142495i | ||||
\(477\) | −10.9790 | + | 24.2901i | −0.502693 | + | 1.11217i | ||||
\(478\) | 8.85134 | + | 15.3310i | 0.404851 | + | 0.701223i | ||||
\(479\) | 3.87971 | + | 22.0029i | 0.177269 | + | 1.00534i | 0.935493 | + | 0.353346i | \(0.114956\pi\) |
−0.758224 | + | 0.651994i | \(0.773933\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −14.2089 | + | 5.17162i | −0.647871 | + | 0.235806i | ||||
\(482\) | 4.02106 | − | 22.8046i | 0.183154 | − | 1.03872i | ||||
\(483\) | −4.79254 | + | 3.09316i | −0.218068 | + | 0.140744i | ||||
\(484\) | 4.81285 | − | 4.03846i | 0.218766 | − | 0.183566i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −12.4831 | + | 5.60836i | −0.566244 | + | 0.254401i | ||||
\(487\) | −28.3011 | −1.28245 | −0.641224 | − | 0.767354i | \(-0.721573\pi\) | ||||
−0.641224 | + | 0.767354i | \(0.721573\pi\) | |||||||
\(488\) | −6.98184 | + | 5.85846i | −0.316053 | + | 0.265200i | ||||
\(489\) | 29.0628 | − | 18.7575i | 1.31427 | − | 0.848243i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −40.2634 | + | 14.6547i | −1.81706 | + | 0.661357i | −0.821184 | + | 0.570664i | \(0.806686\pi\) |
−0.995879 | + | 0.0906928i | \(0.971092\pi\) | |||||||
\(492\) | −0.769302 | + | 2.49116i | −0.0346828 | + | 0.112310i | ||||
\(493\) | −0.422438 | − | 2.39577i | −0.0190257 | − | 0.107900i | ||||
\(494\) | −10.8306 | − | 18.7592i | −0.487293 | − | 0.844015i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.128611 | − | 0.222761i | 0.00577480 | − | 0.0100022i | ||||
\(497\) | 1.52961 | + | 0.556732i | 0.0686124 | + | 0.0249729i | ||||
\(498\) | 4.62691 | + | 10.9862i | 0.207337 | + | 0.492304i | ||||
\(499\) | −3.09802 | − | 2.59955i | −0.138686 | − | 0.116372i | 0.570805 | − | 0.821085i | \(-0.306631\pi\) |
−0.709492 | + | 0.704714i | \(0.751076\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −18.1300 | + | 23.9189i | −0.809991 | + | 1.06862i | ||||
\(502\) | −17.5699 | − | 6.39492i | −0.784183 | − | 0.285419i | ||||
\(503\) | 11.9697 | − | 20.7321i | 0.533702 | − | 0.924399i | −0.465523 | − | 0.885036i | \(-0.654134\pi\) |
0.999225 | − | 0.0393633i | \(-0.0125330\pi\) | |||||||
\(504\) | −1.16958 | − | 4.16726i | −0.0520974 | − | 0.185624i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −2.39398 | − | 13.5769i | −0.106425 | − | 0.603569i | ||||
\(507\) | 32.0752 | + | 34.5912i | 1.42451 | + | 1.53625i | ||||
\(508\) | −9.00195 | + | 3.27644i | −0.399397 | + | 0.145369i | ||||
\(509\) | −4.85069 | + | 27.5096i | −0.215003 | + | 1.21934i | 0.665898 | + | 0.746043i | \(0.268049\pi\) |
−0.880901 | + | 0.473300i | \(0.843063\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 4.67243 | − | 3.92064i | 0.206696 | − | 0.173439i | ||||
\(512\) | −0.342088 | −0.0151183 | ||||||||
\(513\) | −15.8148 | + | 12.5868i | −0.698239 | + | 0.555723i | ||||
\(514\) | 10.1105 | 0.445953 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0.263639 | + | 5.31695i | 0.0116060 | + | 0.234066i | ||||
\(517\) | −0.349331 | + | 1.98115i | −0.0153635 | + | 0.0871310i | ||||
\(518\) | 1.00078 | − | 0.364256i | 0.0439719 | − | 0.0160045i | ||||
\(519\) | −24.1901 | + | 5.51302i | −1.06183 | + | 0.241995i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −6.07222 | − | 10.5174i | −0.266029 | − | 0.460775i | 0.701804 | − | 0.712370i | \(-0.252378\pi\) |
−0.967833 | + | 0.251595i | \(0.919045\pi\) | |||||||
\(522\) | 0.922142 | + | 0.629577i | 0.0403610 | + | 0.0275559i | ||||
\(523\) | 11.2405 | − | 19.4691i | 0.491512 | − | 0.851324i | −0.508440 | − | 0.861097i | \(-0.669778\pi\) |
0.999952 | + | 0.00977335i | \(0.00311100\pi\) | |||||||
\(524\) | 10.1278 | + | 3.68622i | 0.442436 | + | 0.161033i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 7.27576 | + | 6.10509i | 0.317238 | + | 0.266195i | ||||
\(527\) | 37.3931 | + | 31.3765i | 1.62887 | + | 1.36678i | ||||
\(528\) | 0.126105 | + | 0.0158443i | 0.00548800 | + | 0.000689534i | ||||
\(529\) | −17.7371 | − | 6.45579i | −0.771180 | − | 0.280687i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −1.58336 | + | 20.9471i | −0.0687119 | + | 0.909027i | ||||
\(532\) | −1.21675 | − | 2.10748i | −0.0527529 | − | 0.0913706i | ||||
\(533\) | 1.34878 | + | 7.64931i | 0.0584221 | + | 0.331328i | ||||
\(534\) | −27.4192 | + | 6.24895i | −1.18655 | + | 0.270419i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 3.42478 | − | 19.4229i | 0.147928 | − | 0.838941i | ||||
\(537\) | −2.08966 | − | 42.1434i | −0.0901756 | − | 1.81862i | ||||
\(538\) | −18.5557 | + | 15.5701i | −0.799995 | + | 0.671276i | ||||
\(539\) | 16.3588 | 0.704624 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −22.1510 | −0.952347 | −0.476173 | − | 0.879351i | \(-0.657977\pi\) | ||||
−0.476173 | + | 0.879351i | \(0.657977\pi\) | |||||||
\(542\) | 14.9922 | − | 12.5800i | 0.643972 | − | 0.540357i | ||||
\(543\) | 6.28609 | + | 3.22525i | 0.269762 | + | 0.138409i | ||||
\(544\) | 5.62326 | − | 31.8911i | 0.241095 | − | 1.36732i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −3.33750 | − | 3.59929i | −0.142832 | − | 0.154036i | ||||
\(547\) | −1.66357 | − | 9.43459i | −0.0711292 | − | 0.403394i | −0.999496 | − | 0.0317297i | \(-0.989898\pi\) |
0.928367 | − | 0.371664i | \(-0.121213\pi\) | |||||||
\(548\) | 9.82146 | + | 17.0113i | 0.419552 | + | 0.726685i | ||||
\(549\) | 9.34486 | + | 2.38591i | 0.398829 | + | 0.101828i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 1.54966 | + | 0.564031i | 0.0660179 | + | 0.0240285i | ||||
\(552\) | 19.1943 | − | 25.3231i | 0.816966 | − | 1.07782i | ||||
\(553\) | −1.05065 | − | 0.881604i | −0.0446784 | − | 0.0374896i | ||||
\(554\) | 13.7724 | + | 11.5564i | 0.585132 | + | 0.490984i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −3.87449 | − | 1.41020i | −0.164315 | − | 0.0598058i | ||||
\(557\) | 0.0452561 | − | 0.0783859i | 0.00191756 | − | 0.00332132i | −0.865065 | − | 0.501660i | \(-0.832723\pi\) |
0.866983 | + | 0.498338i | \(0.166056\pi\) | |||||||
\(558\) | −22.2942 | + | 2.21635i | −0.943790 | + | 0.0938255i | ||||
\(559\) | 7.92967 | + | 13.7346i | 0.335389 | + | 0.580911i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −7.11668 | + | 23.0453i | −0.300467 | + | 0.972975i | ||||
\(562\) | 13.0090 | − | 4.73491i | 0.548753 | − | 0.199730i | ||||
\(563\) | 2.55509 | − | 14.4906i | 0.107684 | − | 0.610707i | −0.882430 | − | 0.470443i | \(-0.844094\pi\) |
0.990114 | − | 0.140263i | \(-0.0447949\pi\) | |||||||
\(564\) | −1.48299 | + | 0.957142i | −0.0624453 | + | 0.0403029i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −9.27354 | −0.389796 | ||||||||
\(567\) | −2.86033 | + | 3.57726i | −0.120122 | + | 0.150231i | ||||
\(568\) | −9.06785 | −0.380479 | ||||||||
\(569\) | −5.30885 | + | 4.45466i | −0.222559 | + | 0.186749i | −0.747249 | − | 0.664544i | \(-0.768626\pi\) |
0.524690 | + | 0.851293i | \(0.324181\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −5.14921 | + | 29.2026i | −0.215488 | + | 1.22209i | 0.664570 | + | 0.747226i | \(0.268615\pi\) |
−0.880058 | + | 0.474866i | \(0.842497\pi\) | |||||||
\(572\) | −17.7818 | + | 6.47205i | −0.743495 | + | 0.270610i | ||||
\(573\) | 3.80473 | − | 12.3205i | 0.158945 | − | 0.514697i | ||||
\(574\) | −0.0949993 | − | 0.538768i | −0.00396519 | − | 0.0224877i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 8.77425 | + | 12.2209i | 0.365594 | + | 0.509202i | ||||
\(577\) | 2.30175 | − | 3.98675i | 0.0958231 | − | 0.165970i | −0.814129 | − | 0.580684i | \(-0.802785\pi\) |
0.909952 | + | 0.414714i | \(0.136118\pi\) | |||||||
\(578\) | −13.1389 | − | 4.78215i | −0.546505 | − | 0.198911i | ||||
\(579\) | 6.21886 | + | 14.7662i | 0.258447 | + | 0.613662i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 3.05631 | + | 2.56455i | 0.126797 | + | 0.106395i | ||||
\(582\) | 7.68382 | − | 10.1373i | 0.318505 | − | 0.420203i | ||||
\(583\) | −20.2623 | − | 7.37486i | −0.839177 | − | 0.305435i | ||||
\(584\) | −16.9890 | + | 29.4259i | −0.703011 | + | 1.21765i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −7.24214 | − | 12.5438i | −0.299170 | − | 0.518178i | ||||
\(587\) | 1.69338 | + | 9.60364i | 0.0698933 | + | 0.396384i | 0.999605 | + | 0.0280969i | \(0.00894470\pi\) |
−0.929712 | + | 0.368288i | \(0.879944\pi\) | |||||||
\(588\) | 9.75911 | + | 10.5246i | 0.402459 | + | 0.434028i | ||||
\(589\) | −31.0944 | + | 11.3174i | −1.28122 | + | 0.466327i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 13.9307 | + | 7.14752i | 0.573032 | + | 0.294010i | ||||
\(592\) | −0.0552163 | + | 0.0463320i | −0.00226938 | + | 0.00190423i | ||||
\(593\) | 1.52185 | 0.0624948 | 0.0312474 | − | 0.999512i | \(-0.490052\pi\) | ||||
0.0312474 | + | 0.999512i | \(0.490052\pi\) | |||||||
\(594\) | −5.28492 | − | 9.72714i | −0.216843 | − | 0.399110i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 2.01660 | − | 1.69213i | 0.0826032 | − | 0.0693123i | ||||
\(597\) | −0.629473 | − | 12.6949i | −0.0257626 | − | 0.519569i | ||||
\(598\) | 6.25749 | − | 35.4880i | 0.255888 | − | 1.45121i | ||||
\(599\) | 24.2758 | − | 8.83566i | 0.991881 | − | 0.361015i | 0.205433 | − | 0.978671i | \(-0.434140\pi\) |
0.786448 | + | 0.617656i | \(0.211918\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −2.97450 | − | 16.8692i | −0.121332 | − | 0.688109i | −0.983419 | − | 0.181348i | \(-0.941954\pi\) |
0.862087 | − | 0.506761i | \(-0.169157\pi\) | |||||||
\(602\) | −0.558515 | − | 0.967376i | −0.0227634 | − | 0.0394273i | ||||
\(603\) | −18.8095 | + | 9.04322i | −0.765981 | + | 0.368268i | ||||
\(604\) | 9.68689 | − | 16.7782i | 0.394154 | − | 0.682695i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 6.71448 | + | 0.843633i | 0.272757 | + | 0.0342703i | ||||
\(607\) | 9.63781 | + | 8.08708i | 0.391187 | + | 0.328244i | 0.817075 | − | 0.576531i | \(-0.195594\pi\) |
−0.425889 | + | 0.904776i | \(0.640038\pi\) | |||||||
\(608\) | 16.8163 | + | 14.1106i | 0.681991 | + | 0.572259i | ||||
\(609\) | 0.370783 | + | 0.0465866i | 0.0150249 | + | 0.00188779i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −2.62915 | + | 4.55382i | −0.106364 | + | 0.184228i | ||||
\(612\) | −19.0720 | + | 9.16946i | −0.770942 | + | 0.370653i | ||||
\(613\) | −11.7819 | − | 20.4069i | −0.475867 | − | 0.824226i | 0.523750 | − | 0.851872i | \(-0.324532\pi\) |
−0.999618 | + | 0.0276453i | \(0.991199\pi\) | |||||||
\(614\) | −2.18495 | − | 12.3914i | −0.0881773 | − | 0.500078i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.29008 | − | 1.19749i | 0.132561 | − | 0.0482483i | ||||
\(617\) | 2.01505 | − | 11.4279i | 0.0811229 | − | 0.460071i | −0.917003 | − | 0.398880i | \(-0.869399\pi\) |
0.998126 | − | 0.0611910i | \(-0.0194899\pi\) | |||||||
\(618\) | 0.840222 | + | 16.9452i | 0.0337987 | + | 0.681638i | ||||
\(619\) | −15.1620 | + | 12.7224i | −0.609411 | + | 0.511357i | −0.894455 | − | 0.447158i | \(-0.852436\pi\) |
0.285044 | + | 0.958514i | \(0.407992\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −33.6137 | − | 0.870823i | −1.34887 | − | 0.0349449i | ||||
\(622\) | 27.9056 | 1.11891 | ||||||||
\(623\) | −7.21012 | + | 6.05001i | −0.288867 | + | 0.242388i | ||||
\(624\) | 0.295575 | + | 0.151653i | 0.0118325 | + | 0.00607097i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −14.0852 | + | 5.12660i | −0.562959 | + | 0.204900i | ||||
\(627\) | −11.1170 | − | 11.9891i | −0.443972 | − | 0.478797i | ||||
\(628\) | 4.67714 | + | 26.5254i | 0.186638 | + | 1.05848i | ||||
\(629\) | −6.83933 | − | 11.8461i | −0.272702 | − | 0.472334i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −7.28122 | + | 12.6114i | −0.289861 | + | 0.502054i | −0.973776 | − | 0.227508i | \(-0.926942\pi\) |
0.683916 | + | 0.729561i | \(0.260276\pi\) | |||||||
\(632\) | 7.17962 | + | 2.61317i | 0.285590 | + | 0.103946i | ||||
\(633\) | 17.4241 | − | 22.9876i | 0.692545 | − | 0.913673i | ||||
\(634\) | 9.18168 | + | 7.70434i | 0.364651 | + | 0.305979i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −7.34307 | − | 17.4355i | −0.291172 | − | 0.691364i | ||||
\(637\) | 40.1807 | + | 14.6246i | 1.59202 | + | 0.579446i | ||||
\(638\) | −0.451605 | + | 0.782203i | −0.0178792 | + | 0.0309677i | ||||
\(639\) | 5.59637 | + | 7.79468i | 0.221389 | + | 0.308353i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 3.38084 | + | 19.1737i | 0.133535 | + | 0.757315i | 0.975869 | + | 0.218358i | \(0.0700702\pi\) |
−0.842334 | + | 0.538957i | \(0.818819\pi\) | |||||||
\(642\) | −5.16751 | + | 16.7335i | −0.203945 | + | 0.660418i | ||||
\(643\) | 2.97050 | − | 1.08118i | 0.117145 | − | 0.0426374i | −0.282782 | − | 0.959184i | \(-0.591257\pi\) |
0.399928 | + | 0.916547i | \(0.369035\pi\) | |||||||
\(644\) | 0.702989 | − | 3.98685i | 0.0277017 | − | 0.157104i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 15.0109 | − | 12.5956i | 0.590594 | − | 0.495567i | ||||
\(647\) | 18.5045 | 0.727489 | 0.363744 | − | 0.931499i | \(-0.381498\pi\) | ||||
0.363744 | + | 0.931499i | \(0.381498\pi\) | |||||||
\(648\) | 8.15736 | − | 24.1758i | 0.320451 | − | 0.949714i | ||||
\(649\) | −16.9929 | −0.667029 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −6.30012 | + | 4.06617i | −0.246921 | + | 0.159366i | ||||
\(652\) | −4.26306 | + | 24.1770i | −0.166954 | + | 0.946844i | ||||
\(653\) | −10.6618 | + | 3.88059i | −0.417230 | + | 0.151859i | −0.542100 | − | 0.840314i | \(-0.682371\pi\) |
0.124870 | + | 0.992173i | \(0.460149\pi\) | |||||||
\(654\) | −7.54418 | + | 24.4297i | −0.295001 | + | 0.955276i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0.0185131 | + | 0.0320656i | 0.000722815 | + | 0.00125195i | ||||
\(657\) | 35.7794 | − | 3.55695i | 1.39589 | − | 0.138770i | ||||
\(658\) | 0.185180 | − | 0.320742i | 0.00721908 | − | 0.0125038i | ||||
\(659\) | −24.1280 | − | 8.78187i | −0.939893 | − | 0.342093i | −0.173769 | − | 0.984786i | \(-0.555595\pi\) |
−0.766124 | + | 0.642693i | \(0.777817\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −6.15873 | − | 5.16779i | −0.239547 | − | 0.201004i | 0.515109 | − | 0.857125i | \(-0.327752\pi\) |
−0.754655 | + | 0.656121i | \(0.772196\pi\) | |||||||
\(662\) | 19.0406 | + | 15.9770i | 0.740033 | + | 0.620962i | ||||
\(663\) | −38.0823 | + | 50.2419i | −1.47899 | + | 1.95123i | ||||
\(664\) | −20.8852 | − | 7.60159i | −0.810502 | − | 0.294999i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 6.08304 | + | 1.55311i | 0.235713 | + | 0.0601819i | ||||
\(667\) | 1.37173 | + | 2.37590i | 0.0531135 | + | 0.0919954i | ||||
\(668\) | −3.69900 | − | 20.9781i | −0.143118 | − | 0.811665i | ||||
\(669\) | −9.98383 | − | 10.7670i | −0.385997 | − | 0.416275i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −1.35476 | + | 7.68321i | −0.0522999 | + | 0.296607i | ||||
\(672\) | 4.42590 | + | 2.27083i | 0.170733 | + | 0.0875992i | ||||
\(673\) | −10.4677 | + | 8.78341i | −0.403499 | + | 0.338576i | −0.821844 | − | 0.569712i | \(-0.807055\pi\) |
0.418346 | + | 0.908288i | \(0.362610\pi\) | |||||||
\(674\) | 15.2185 | 0.586193 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −33.4809 | −1.28773 | ||||||||
\(677\) | −33.6430 | + | 28.2299i | −1.29301 | + | 1.08496i | −0.301698 | + | 0.953404i | \(0.597553\pi\) |
−0.991308 | + | 0.131558i | \(0.958002\pi\) | |||||||
\(678\) | 0.806121 | + | 16.2575i | 0.0309589 | + | 0.624366i | ||||
\(679\) | 0.739271 | − | 4.19262i | 0.0283706 | − | 0.160898i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 16.3759 | − | 3.73213i | 0.627524 | − | 0.143015i | ||||
\(682\) | −3.14705 | − | 17.8478i | −0.120507 | − | 0.683428i | ||||
\(683\) | −2.15285 | − | 3.72885i | −0.0823767 | − | 0.142681i | 0.821894 | − | 0.569641i | \(-0.192918\pi\) |
−0.904270 | + | 0.426960i | \(0.859584\pi\) | |||||||
\(684\) | 1.08126 | − | 14.3045i | 0.0413429 | − | 0.546948i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −5.76886 | − | 2.09969i | −0.220256 | − | 0.0801667i | ||||
\(687\) | 0.269234 | + | 0.0338276i | 0.0102719 | + | 0.00129060i | ||||
\(688\) | 0.0579132 | + | 0.0485949i | 0.00220792 | + | 0.00185266i | ||||
\(689\) | −43.1753 | − | 36.2284i | −1.64485 | − | 1.38019i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 21.9927 | + | 8.00468i | 0.836641 | + | 0.304512i | 0.724581 | − | 0.689189i | \(-0.242033\pi\) |
0.112059 | + | 0.993702i | \(0.464255\pi\) | |||||||
\(692\) | 8.80438 | − | 15.2496i | 0.334692 | − | 0.579704i | ||||
\(693\) | −3.05988 | − | 2.08909i | −0.116235 | − | 0.0793578i | ||||
\(694\) | −1.47875 | − | 2.56127i | −0.0561326 | − | 0.0972245i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −2.02971 | + | 0.462580i | −0.0769361 | + | 0.0175341i | ||||
\(697\) | −6.60275 | + | 2.40320i | −0.250097 | + | 0.0910279i | ||||
\(698\) | 1.04484 | − | 5.92555i | 0.0395476 | − | 0.224286i | ||||
\(699\) | 1.39671 | + | 28.1683i | 0.0528286 | + | 1.06542i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 15.0287 | 0.567624 | 0.283812 | − | 0.958880i | \(-0.408401\pi\) | ||||
0.283812 | + | 0.958880i | \(0.408401\pi\) | |||||||
\(702\) | −4.28493 | − | 28.6165i | −0.161724 | − | 1.08006i | ||||
\(703\) | 9.27261 | 0.349723 | ||||||||
\(704\) | −9.32261 | + | 7.82260i | −0.351359 | + | 0.294825i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 4.64765 | − | 26.3581i | 0.174917 | − | 0.992002i | ||||
\(707\) | 2.12832 | − | 0.774645i | 0.0800437 | − | 0.0291335i | ||||
\(708\) | −10.1374 | − | 10.9326i | −0.380986 | − | 0.410871i | ||||
\(709\) | 4.68507 | + | 26.5704i | 0.175952 | + | 0.997871i | 0.937040 | + | 0.349223i | \(0.113554\pi\) |
−0.761088 | + | 0.648648i | \(0.775335\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −2.18475 | − | 7.78432i | −0.0819345 | − | 0.291935i | ||||
\(712\) | 26.2161 | − | 45.4076i | 0.982489 | − | 1.70172i | ||||
\(713\) | −51.7284 | − | 18.8276i | −1.93724 | − | 0.705098i | ||||
\(714\) | 2.68227 | − | 3.53871i | 0.100381 | − | 0.132433i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 22.9410 | + | 19.2498i | 0.857347 | + | 0.719399i | ||||
\(717\) | 13.5563 | + | 32.1884i | 0.506270 | + | 1.20210i | ||||
\(718\) | 12.3768 | + | 4.50480i | 0.461900 | + | 0.168118i | ||||
\(719\) | −21.0623 | + | 36.4809i | −0.785490 | + | 1.36051i | 0.143216 | + | 0.989691i | \(0.454255\pi\) |
−0.928706 | + | 0.370817i | \(0.879078\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 2.83915 | + | 4.91756i | 0.105736 | + | 0.183139i | ||||
\(722\) | −0.589817 | − | 3.34502i | −0.0219507 | − | 0.124489i | ||||
\(723\) | 13.4804 | − | 43.6524i | 0.501342 | − | 1.62345i | ||||
\(724\) | −4.71202 | + | 1.71503i | −0.175121 | + | 0.0637388i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −6.52948 | + | 4.21420i | −0.242332 | + | 0.156404i | ||||
\(727\) | 7.96369 | − | 6.68233i | 0.295357 | − | 0.247834i | −0.483052 | − | 0.875592i | \(-0.660472\pi\) |
0.778409 | + | 0.627758i | \(0.216027\pi\) | |||||||
\(728\) | 9.15166 | 0.339183 | ||||||||
\(729\) | −25.8158 | + | 7.90844i | −0.956142 | + | 0.292905i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −10.9902 | + | 9.22191i | −0.406489 | + | 0.341085i | ||||
\(732\) | −5.75128 | + | 3.71194i | −0.212574 | + | 0.137197i | ||||
\(733\) | −7.78456 | + | 44.1484i | −0.287529 | + | 1.63066i | 0.408579 | + | 0.912723i | \(0.366024\pi\) |
−0.696108 | + | 0.717937i | \(0.745087\pi\) | |||||||
\(734\) | 13.6936 | − | 4.98406i | 0.505440 | − | 0.183965i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 6.34152 | + | 35.9646i | 0.233752 | + | 1.32567i | ||||
\(737\) | −8.44127 | − | 14.6207i | −0.310938 | − | 0.538561i | ||||
\(738\) | 1.32830 | − | 2.93875i | 0.0488952 | − | 0.108177i | ||||
\(739\) | 8.15749 | − | 14.1292i | 0.300078 | − | 0.519751i | −0.676075 | − | 0.736833i | \(-0.736321\pi\) |
0.976153 | + | 0.217082i | \(0.0696539\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −16.5877 | − | 39.3861i | −0.609364 | − | 1.44689i | ||||
\(742\) | 3.04099 | + | 2.55169i | 0.111638 | + | 0.0936755i | ||||
\(743\) | 8.85961 | + | 7.43409i | 0.325028 | + | 0.272730i | 0.790670 | − | 0.612242i | \(-0.209732\pi\) |
−0.465643 | + | 0.884973i | \(0.654177\pi\) | |||||||
\(744\) | 25.2323 | − | 33.2889i | 0.925060 | − | 1.22043i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −3.06915 | + | 5.31592i | −0.112369 | + | 0.194630i | ||||
\(747\) | 6.35534 | + | 22.6442i | 0.232530 | + | 0.828509i | ||||
\(748\) | −8.55910 | − | 14.8248i | −0.312952 | − | 0.542049i | ||||
\(749\) | 1.01783 | + | 5.77239i | 0.0371906 | + | 0.210918i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −17.9955 | + | 6.54983i | −0.656666 | + | 0.239007i | −0.648796 | − | 0.760962i | \(-0.724727\pi\) |
−0.00786953 | + | 0.999969i | \(0.502505\pi\) | |||||||
\(752\) | −0.00435265 | + | 0.0246851i | −0.000158725 | + | 0.000900174i | ||||
\(753\) | −32.8213 | − | 16.8399i | −1.19607 | − | 0.613679i | ||||
\(754\) | −1.80852 | + | 1.51753i | −0.0658623 | + | 0.0552650i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −0.481385 | − | 3.21489i | −0.0175078 | − | 0.116924i | ||||
\(757\) | −8.63554 | −0.313864 | −0.156932 | − | 0.987609i | \(-0.550160\pi\) | ||||
−0.156932 | + | 0.987609i | \(0.550160\pi\) | |||||||
\(758\) | −9.26677 | + | 7.77575i | −0.336584 | + | 0.282428i | ||||
\(759\) | −1.34704 | − | 27.1665i | −0.0488945 | − | 0.986083i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −1.00649 | + | 0.366334i | −0.0364854 | + | 0.0132796i | −0.360198 | − | 0.932876i | \(-0.617291\pi\) |
0.323713 | + | 0.946155i | \(0.395069\pi\) | |||||||
\(762\) | 11.5532 | − | 2.63302i | 0.418529 | − | 0.0953844i | ||||
\(763\) | 1.48595 | + | 8.42726i | 0.0537951 | + | 0.305087i | ||||
\(764\) | 4.57588 | + | 7.92566i | 0.165550 | + | 0.286740i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −4.50428 | + | 7.80164i | −0.162746 | + | 0.281885i | ||||
\(767\) | −41.7380 | − | 15.1914i | −1.50707 | − | 0.548530i | ||||
\(768\) | −27.6228 | − | 3.47064i | −0.996752 | − | 0.125236i | ||||
\(769\) | 7.27290 | + | 6.10268i | 0.262267 | + | 0.220068i | 0.764433 | − | 0.644703i | \(-0.223019\pi\) |
−0.502166 | + | 0.864771i | \(0.667463\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 19.7918 | + | 2.48672i | 0.712786 | + | 0.0895572i | ||||
\(772\) | −10.6858 | − | 3.88931i | −0.384590 | − | 0.139979i | ||||
\(773\) | −0.387381 | + | 0.670964i | −0.0139331 | + | 0.0241329i | −0.872908 | − | 0.487885i | \(-0.837769\pi\) |
0.858975 | + | 0.512018i | \(0.171102\pi\) | |||||||
\(774\) | 0.496320 | − | 6.56609i | 0.0178399 | − | 0.236013i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 4.11826 | + |