Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(2,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.f (of order \(58\), degree \(28\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(504\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 32.10 | ||
Character | \(\chi\) | \(=\) | 177.32 |
Dual form | 177.2.f.a.83.10 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{5}{58}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.110481 | − | 0.397918i | 0.0781221 | − | 0.281370i | −0.914163 | − | 0.405347i | \(-0.867151\pi\) |
0.992285 | + | 0.123976i | \(0.0395646\pi\) | |||||||
\(3\) | 1.71736 | + | 0.225135i | 0.991516 | + | 0.129982i | ||||
\(4\) | 1.56758 | + | 0.943183i | 0.783791 | + | 0.471591i | ||||
\(5\) | −2.16684 | − | 0.117483i | −0.969039 | − | 0.0525398i | −0.437181 | − | 0.899373i | \(-0.644023\pi\) |
−0.531858 | + | 0.846834i | \(0.678506\pi\) | |||||||
\(6\) | 0.279321 | − | 0.658494i | 0.114032 | − | 0.268829i | ||||
\(7\) | 0.253612 | − | 1.54697i | 0.0958565 | − | 0.584699i | −0.894599 | − | 0.446869i | \(-0.852539\pi\) |
0.990456 | − | 0.137830i | \(-0.0440127\pi\) | |||||||
\(8\) | 1.14813 | − | 1.08756i | 0.405924 | − | 0.384512i | ||||
\(9\) | 2.89863 | + | 0.773273i | 0.966210 | + | 0.257758i | ||||
\(10\) | −0.286144 | + | 0.849244i | −0.0904865 | + | 0.268554i | ||||
\(11\) | −0.507538 | + | 0.957318i | −0.153028 | + | 0.288642i | −0.948159 | − | 0.317796i | \(-0.897057\pi\) |
0.795131 | + | 0.606438i | \(0.207402\pi\) | |||||||
\(12\) | 2.47975 | + | 1.97270i | 0.715843 | + | 0.569469i | ||||
\(13\) | −2.53293 | + | 1.00921i | −0.702507 | + | 0.279904i | −0.693913 | − | 0.720059i | \(-0.744115\pi\) |
−0.00859390 | + | 0.999963i | \(0.502736\pi\) | |||||||
\(14\) | −0.587546 | − | 0.271828i | −0.157028 | − | 0.0726491i | ||||
\(15\) | −3.69478 | − | 0.689590i | −0.953989 | − | 0.178051i | ||||
\(16\) | 1.40795 | + | 2.65568i | 0.351987 | + | 0.663919i | ||||
\(17\) | −1.49822 | + | 0.245621i | −0.363372 | + | 0.0595718i | −0.340702 | − | 0.940171i | \(-0.610665\pi\) |
−0.0226696 | + | 0.999743i | \(0.507217\pi\) | |||||||
\(18\) | 0.627944 | − | 1.06798i | 0.148008 | − | 0.251726i | ||||
\(19\) | −2.26534 | − | 2.66696i | −0.519704 | − | 0.611843i | 0.438219 | − | 0.898868i | \(-0.355609\pi\) |
−0.957923 | + | 0.287025i | \(0.907334\pi\) | |||||||
\(20\) | −3.28589 | − | 2.22789i | −0.734747 | − | 0.498171i | ||||
\(21\) | 0.783819 | − | 2.59960i | 0.171043 | − | 0.567279i | ||||
\(22\) | 0.324861 | + | 0.307724i | 0.0692605 | + | 0.0656070i | ||||
\(23\) | 1.57110 | − | 1.19432i | 0.327597 | − | 0.249033i | −0.428428 | − | 0.903576i | \(-0.640932\pi\) |
0.756024 | + | 0.654544i | \(0.227139\pi\) | |||||||
\(24\) | 2.21659 | − | 1.60925i | 0.452460 | − | 0.328487i | ||||
\(25\) | −0.289306 | − | 0.0314639i | −0.0578612 | − | 0.00629279i | ||||
\(26\) | 0.121742 | + | 1.11940i | 0.0238755 | + | 0.219531i | ||||
\(27\) | 4.80389 | + | 1.98057i | 0.924509 | + | 0.381160i | ||||
\(28\) | 1.85663 | − | 2.18579i | 0.350870 | − | 0.413076i | ||||
\(29\) | −3.75944 | + | 1.04380i | −0.698111 | + | 0.193830i | −0.598413 | − | 0.801188i | \(-0.704202\pi\) |
−0.0996987 | + | 0.995018i | \(0.531788\pi\) | |||||||
\(30\) | −0.682605 | + | 1.39403i | −0.124626 | + | 0.254515i | ||||
\(31\) | −4.33588 | − | 3.68293i | −0.778747 | − | 0.661474i | 0.167153 | − | 0.985931i | \(-0.446543\pi\) |
−0.945900 | + | 0.324457i | \(0.894818\pi\) | |||||||
\(32\) | 4.30125 | − | 0.946777i | 0.760361 | − | 0.167368i | ||||
\(33\) | −1.08715 | + | 1.52979i | −0.189248 | + | 0.266303i | ||||
\(34\) | −0.0677885 | + | 0.623305i | −0.0116256 | + | 0.106896i | ||||
\(35\) | −0.731278 | + | 3.32223i | −0.123609 | + | 0.561560i | ||||
\(36\) | 3.81450 | + | 3.94611i | 0.635750 | + | 0.657684i | ||||
\(37\) | 5.65369 | − | 5.96853i | 0.929461 | − | 0.981220i | −0.0704059 | − | 0.997518i | \(-0.522429\pi\) |
0.999867 | + | 0.0162980i | \(0.00518806\pi\) | |||||||
\(38\) | −1.31151 | + | 0.606769i | −0.212755 | + | 0.0984309i | ||||
\(39\) | −4.57714 | + | 1.16292i | −0.732930 | + | 0.186217i | ||||
\(40\) | −2.61558 | + | 2.22169i | −0.413559 | + | 0.351280i | ||||
\(41\) | −6.36507 | + | 8.37310i | −0.994056 | + | 1.30766i | −0.0428571 | + | 0.999081i | \(0.513646\pi\) |
−0.951199 | + | 0.308578i | \(0.900147\pi\) | |||||||
\(42\) | −0.947829 | − | 0.599103i | −0.146253 | − | 0.0924435i | ||||
\(43\) | −8.66795 | + | 4.59546i | −1.32185 | + | 0.700801i | −0.971773 | − | 0.235920i | \(-0.924190\pi\) |
−0.350078 | + | 0.936721i | \(0.613845\pi\) | |||||||
\(44\) | −1.69853 | + | 1.02197i | −0.256064 | + | 0.154068i | ||||
\(45\) | −6.19001 | − | 2.01610i | −0.922753 | − | 0.300542i | ||||
\(46\) | −0.301663 | − | 0.757118i | −0.0444778 | − | 0.111631i | ||||
\(47\) | −0.568942 | − | 10.4935i | −0.0829887 | − | 1.53064i | −0.682865 | − | 0.730544i | \(-0.739266\pi\) |
0.599877 | − | 0.800093i | \(-0.295216\pi\) | |||||||
\(48\) | 1.82007 | + | 4.87772i | 0.262704 | + | 0.704038i | ||||
\(49\) | 4.30478 | + | 1.45045i | 0.614969 | + | 0.207207i | ||||
\(50\) | −0.0444830 | + | 0.111644i | −0.00629085 | + | 0.0157888i | ||||
\(51\) | −2.62828 | + | 0.0845171i | −0.368032 | + | 0.0118348i | ||||
\(52\) | −4.92244 | − | 0.806993i | −0.682619 | − | 0.111910i | ||||
\(53\) | 0.757790 | + | 2.24904i | 0.104090 | + | 0.308929i | 0.987025 | − | 0.160567i | \(-0.0513321\pi\) |
−0.882935 | + | 0.469496i | \(0.844436\pi\) | |||||||
\(54\) | 1.31884 | − | 1.69274i | 0.179472 | − | 0.230352i | ||||
\(55\) | 1.21222 | − | 2.01473i | 0.163456 | − | 0.271666i | ||||
\(56\) | −1.39125 | − | 2.05194i | −0.185913 | − | 0.274201i | ||||
\(57\) | −3.28997 | − | 5.09013i | −0.435767 | − | 0.674204i | ||||
\(58\) | 1.61127i | 0.211570i | ||||||||
\(59\) | −3.19971 | + | 6.98297i | −0.416567 | + | 0.909105i | ||||
\(60\) | −5.14147 | − | 4.56584i | −0.663761 | − | 0.589448i | ||||
\(61\) | 5.58608 | + | 1.55097i | 0.715224 | + | 0.198581i | 0.606032 | − | 0.795440i | \(-0.292760\pi\) |
0.109191 | + | 0.994021i | \(0.465174\pi\) | |||||||
\(62\) | −1.94454 | + | 1.31843i | −0.246957 | + | 0.167441i | ||||
\(63\) | 1.93136 | − | 4.28797i | 0.243328 | − | 0.540234i | ||||
\(64\) | −0.226995 | + | 4.18667i | −0.0283743 | + | 0.523334i | ||||
\(65\) | 5.60700 | − | 1.88922i | 0.695463 | − | 0.234329i | ||||
\(66\) | 0.488622 | + | 0.601610i | 0.0601452 | + | 0.0740531i | ||||
\(67\) | 5.58110 | + | 5.89190i | 0.681840 | + | 0.719810i | 0.971426 | − | 0.237342i | \(-0.0762763\pi\) |
−0.289586 | + | 0.957152i | \(0.593518\pi\) | |||||||
\(68\) | −2.58025 | − | 1.02807i | −0.312901 | − | 0.124671i | ||||
\(69\) | 2.96702 | − | 1.69736i | 0.357187 | − | 0.204338i | ||||
\(70\) | 1.24118 | + | 0.658033i | 0.148350 | + | 0.0786500i | ||||
\(71\) | 12.8555 | − | 0.697005i | 1.52567 | − | 0.0827193i | 0.727899 | − | 0.685684i | \(-0.240497\pi\) |
0.797768 | + | 0.602965i | \(0.206014\pi\) | |||||||
\(72\) | 4.16898 | − | 2.26463i | 0.491319 | − | 0.266889i | ||||
\(73\) | 0.608612 | − | 1.31549i | 0.0712326 | − | 0.153967i | −0.868688 | − | 0.495359i | \(-0.835036\pi\) |
0.939921 | + | 0.341392i | \(0.110899\pi\) | |||||||
\(74\) | −1.75036 | − | 2.90912i | −0.203475 | − | 0.338178i | ||||
\(75\) | −0.489758 | − | 0.119168i | −0.0565524 | − | 0.0137603i | ||||
\(76\) | −1.03567 | − | 6.31731i | −0.118800 | − | 0.724645i | ||||
\(77\) | 1.35222 | + | 1.02793i | 0.154100 | + | 0.117144i | ||||
\(78\) | −0.0429410 | + | 1.94981i | −0.00486211 | + | 0.220772i | ||||
\(79\) | 2.11031 | − | 3.11247i | 0.237428 | − | 0.350181i | −0.690243 | − | 0.723577i | \(-0.742497\pi\) |
0.927672 | + | 0.373397i | \(0.121807\pi\) | |||||||
\(80\) | −2.73880 | − | 5.91983i | −0.306208 | − | 0.661857i | ||||
\(81\) | 7.80410 | + | 4.48286i | 0.867122 | + | 0.498096i | ||||
\(82\) | 2.62859 | + | 3.45785i | 0.290279 | + | 0.381855i | ||||
\(83\) | 10.1680 | + | 2.23815i | 1.11609 | + | 0.245669i | 0.734463 | − | 0.678648i | \(-0.237434\pi\) |
0.381624 | + | 0.924318i | \(0.375365\pi\) | |||||||
\(84\) | 3.68060 | − | 3.33580i | 0.401586 | − | 0.363965i | ||||
\(85\) | 3.27526 | − | 0.356206i | 0.355252 | − | 0.0386359i | ||||
\(86\) | 0.870968 | + | 3.95685i | 0.0939189 | + | 0.426678i | ||||
\(87\) | −6.69130 | + | 0.946204i | −0.717383 | + | 0.101444i | ||||
\(88\) | 0.458427 | + | 1.65110i | 0.0488685 | + | 0.176008i | ||||
\(89\) | −2.28146 | − | 8.21709i | −0.241835 | − | 0.871010i | −0.980431 | − | 0.196862i | \(-0.936925\pi\) |
0.738596 | − | 0.674148i | \(-0.235489\pi\) | |||||||
\(90\) | −1.48612 | + | 2.24038i | −0.156651 | + | 0.236156i | ||||
\(91\) | 0.918833 | + | 4.17430i | 0.0963199 | + | 0.437586i | ||||
\(92\) | 3.58929 | − | 0.390358i | 0.374209 | − | 0.0406977i | ||||
\(93\) | −6.61710 | − | 7.30106i | −0.686161 | − | 0.757085i | ||||
\(94\) | −4.23842 | − | 0.932946i | −0.437159 | − | 0.0962260i | ||||
\(95\) | 4.59530 | + | 6.04501i | 0.471468 | + | 0.620205i | ||||
\(96\) | 7.59994 | − | 0.657593i | 0.775665 | − | 0.0671153i | ||||
\(97\) | −0.449682 | − | 0.971972i | −0.0456583 | − | 0.0986888i | 0.883404 | − | 0.468612i | \(-0.155246\pi\) |
−0.929062 | + | 0.369924i | \(0.879384\pi\) | |||||||
\(98\) | 1.05276 | − | 1.55270i | 0.106345 | − | 0.156847i | ||||
\(99\) | −2.21143 | + | 2.38244i | −0.222257 | + | 0.239445i | ||||
\(100\) | −0.423835 | − | 0.322191i | −0.0423835 | − | 0.0322191i | ||||
\(101\) | −0.988714 | − | 6.03089i | −0.0983808 | − | 0.600096i | −0.989296 | − | 0.145926i | \(-0.953384\pi\) |
0.890915 | − | 0.454170i | \(-0.150064\pi\) | |||||||
\(102\) | −0.256745 | + | 1.05518i | −0.0254215 | + | 0.104478i | ||||
\(103\) | 1.81925 | + | 3.02361i | 0.179256 | + | 0.297925i | 0.933437 | − | 0.358741i | \(-0.116794\pi\) |
−0.754182 | + | 0.656666i | \(0.771966\pi\) | |||||||
\(104\) | −1.81054 | + | 3.91342i | −0.177538 | + | 0.383742i | ||||
\(105\) | −2.00382 | + | 5.54082i | −0.195552 | + | 0.540729i | ||||
\(106\) | 0.978655 | − | 0.0530611i | 0.0950554 | − | 0.00515375i | ||||
\(107\) | 11.7740 | + | 6.24220i | 1.13824 | + | 0.603456i | 0.927402 | − | 0.374066i | \(-0.122037\pi\) |
0.210836 | + | 0.977521i | \(0.432381\pi\) | |||||||
\(108\) | 5.66245 | + | 7.63565i | 0.544870 | + | 0.734741i | ||||
\(109\) | −14.3233 | − | 5.70694i | −1.37193 | − | 0.546625i | −0.436358 | − | 0.899773i | \(-0.643732\pi\) |
−0.935568 | + | 0.353148i | \(0.885111\pi\) | |||||||
\(110\) | −0.667768 | − | 0.704954i | −0.0636692 | − | 0.0672147i | ||||
\(111\) | 11.0531 | − | 8.97725i | 1.04912 | − | 0.852083i | ||||
\(112\) | 4.46532 | − | 1.50454i | 0.421933 | − | 0.142166i | ||||
\(113\) | 1.08297 | − | 19.9742i | 0.101877 | − | 1.87901i | −0.287288 | − | 0.957844i | \(-0.592754\pi\) |
0.389165 | − | 0.921168i | \(-0.372763\pi\) | |||||||
\(114\) | −2.38893 | + | 0.746772i | −0.223744 | + | 0.0699416i | ||||
\(115\) | −3.54463 | + | 2.40332i | −0.330538 | + | 0.224110i | ||||
\(116\) | −6.87774 | − | 1.90959i | −0.638582 | − | 0.177301i | ||||
\(117\) | −8.12241 | + | 0.966681i | −0.750917 | + | 0.0893697i | ||||
\(118\) | 2.42514 | + | 2.04471i | 0.223252 | + | 0.188231i | ||||
\(119\) | 2.37999i | 0.218173i | ||||||||
\(120\) | −4.99206 | + | 3.22658i | −0.455710 | + | 0.294545i | ||||
\(121\) | 5.51419 | + | 8.13283i | 0.501290 | + | 0.739348i | ||||
\(122\) | 1.23431 | − | 2.05145i | 0.111750 | − | 0.185729i | ||||
\(123\) | −12.8162 | + | 12.9466i | −1.15559 | + | 1.16736i | ||||
\(124\) | −3.32317 | − | 9.86282i | −0.298430 | − | 0.885707i | ||||
\(125\) | 11.3304 | + | 1.85752i | 1.01342 | + | 0.166141i | ||||
\(126\) | −1.49288 | − | 1.24226i | −0.132996 | − | 0.110670i | ||||
\(127\) | −2.79055 | + | 7.00376i | −0.247622 | + | 0.621483i | −0.999275 | − | 0.0380751i | \(-0.987877\pi\) |
0.751653 | + | 0.659558i | \(0.229257\pi\) | |||||||
\(128\) | 9.98822 | + | 3.36542i | 0.882842 | + | 0.297464i | ||||
\(129\) | −15.9206 | + | 5.94058i | −1.40173 | + | 0.523039i | ||||
\(130\) | −0.132285 | − | 2.43985i | −0.0116021 | − | 0.213989i | ||||
\(131\) | 2.29661 | + | 5.76406i | 0.200656 | + | 0.503609i | 0.994527 | − | 0.104477i | \(-0.0333169\pi\) |
−0.793871 | + | 0.608086i | \(0.791938\pi\) | |||||||
\(132\) | −3.14707 | + | 1.37269i | −0.273917 | + | 0.119478i | ||||
\(133\) | −4.70022 | + | 2.82803i | −0.407561 | + | 0.245221i | ||||
\(134\) | 2.96110 | − | 1.56987i | 0.255800 | − | 0.135617i | ||||
\(135\) | −10.1766 | − | 4.85594i | −0.875859 | − | 0.417933i | ||||
\(136\) | −1.45302 | + | 1.91142i | −0.124595 | + | 0.163903i | ||||
\(137\) | 11.1732 | − | 9.49064i | 0.954595 | − | 0.810840i | −0.0274238 | − | 0.999624i | \(-0.508730\pi\) |
0.982019 | + | 0.188784i | \(0.0604545\pi\) | |||||||
\(138\) | −0.347610 | − | 1.36816i | −0.0295905 | − | 0.116465i | ||||
\(139\) | 3.29105 | − | 1.52260i | 0.279144 | − | 0.129146i | −0.275322 | − | 0.961352i | \(-0.588785\pi\) |
0.554466 | + | 0.832206i | \(0.312923\pi\) | |||||||
\(140\) | −4.27981 | + | 4.51814i | −0.361710 | + | 0.381853i | ||||
\(141\) | 1.38538 | − | 18.1492i | 0.116670 | − | 1.52844i | ||||
\(142\) | 1.14294 | − | 5.19244i | 0.0959136 | − | 0.435740i | ||||
\(143\) | 0.319421 | − | 2.93703i | 0.0267113 | − | 0.245607i | ||||
\(144\) | 2.02756 | + | 8.78655i | 0.168963 | + | 0.732212i | ||||
\(145\) | 8.26874 | − | 1.82009i | 0.686681 | − | 0.151150i | ||||
\(146\) | −0.456218 | − | 0.387515i | −0.0377569 | − | 0.0320710i | ||||
\(147\) | 7.06630 | + | 3.46010i | 0.582819 | + | 0.285384i | ||||
\(148\) | 14.4920 | − | 4.02370i | 1.19124 | − | 0.330746i | ||||
\(149\) | −11.6854 | + | 13.7572i | −0.957308 | + | 1.12703i | 0.0345146 | + | 0.999404i | \(0.489011\pi\) |
−0.991822 | + | 0.127626i | \(0.959264\pi\) | |||||||
\(150\) | −0.101528 | + | 0.181718i | −0.00828973 | + | 0.0148372i | ||||
\(151\) | −0.545456 | − | 5.01539i | −0.0443886 | − | 0.408146i | −0.995161 | − | 0.0982567i | \(-0.968673\pi\) |
0.950773 | − | 0.309890i | \(-0.100292\pi\) | |||||||
\(152\) | −5.50139 | − | 0.598312i | −0.446222 | − | 0.0485295i | ||||
\(153\) | −4.53272 | − | 0.446570i | −0.366449 | − | 0.0361031i | ||||
\(154\) | 0.558428 | − | 0.424506i | 0.0449994 | − | 0.0342077i | ||||
\(155\) | 8.96247 | + | 8.48970i | 0.719883 | + | 0.681909i | ||||
\(156\) | −8.27190 | − | 2.49411i | −0.662282 | − | 0.199688i | ||||
\(157\) | −17.2164 | − | 11.6730i | −1.37402 | − | 0.931608i | −0.999991 | − | 0.00418976i | \(-0.998666\pi\) |
−0.374027 | − | 0.927418i | \(-0.622023\pi\) | |||||||
\(158\) | −1.00536 | − | 1.18360i | −0.0799821 | − | 0.0941622i | ||||
\(159\) | 0.795059 | + | 4.03301i | 0.0630523 | + | 0.319838i | ||||
\(160\) | −9.43134 | + | 1.54619i | −0.745613 | + | 0.122237i | ||||
\(161\) | −1.44912 | − | 2.73333i | −0.114207 | − | 0.215417i | ||||
\(162\) | 2.64602 | − | 2.61012i | 0.207891 | − | 0.205070i | ||||
\(163\) | 15.1414 | + | 7.00515i | 1.18597 | + | 0.548686i | 0.910855 | − | 0.412727i | \(-0.135424\pi\) |
0.275110 | + | 0.961413i | \(0.411286\pi\) | |||||||
\(164\) | −17.8751 | + | 7.12210i | −1.39581 | + | 0.556143i | ||||
\(165\) | 2.53540 | − | 3.18709i | 0.197381 | − | 0.248115i | ||||
\(166\) | 2.01398 | − | 3.79877i | 0.156315 | − | 0.294842i | ||||
\(167\) | −5.96341 | + | 17.6988i | −0.461463 | + | 1.36957i | 0.424337 | + | 0.905504i | \(0.360507\pi\) |
−0.885800 | + | 0.464068i | \(0.846389\pi\) | |||||||
\(168\) | −1.92730 | − | 3.83712i | −0.148695 | − | 0.296040i | ||||
\(169\) | −4.04073 | + | 3.82759i | −0.310826 | + | 0.294430i | ||||
\(170\) | 0.220114 | − | 1.34264i | 0.0168820 | − | 0.102976i | ||||
\(171\) | −4.50408 | − | 9.48226i | −0.344436 | − | 0.725126i | ||||
\(172\) | −17.9221 | − | 0.971707i | −1.36655 | − | 0.0740920i | ||||
\(173\) | 6.34719 | + | 3.81898i | 0.482568 | + | 0.290352i | 0.735976 | − | 0.677008i | \(-0.236724\pi\) |
−0.253408 | + | 0.967360i | \(0.581551\pi\) | |||||||
\(174\) | −0.362753 | + | 2.76713i | −0.0275002 | + | 0.209775i | ||||
\(175\) | −0.122045 | + | 0.439567i | −0.00922576 | + | 0.0332282i | ||||
\(176\) | −3.25692 | −0.245499 | ||||||||
\(177\) | −7.06716 | + | 11.2719i | −0.531200 | + | 0.847246i | ||||
\(178\) | −3.52179 | −0.263969 | ||||||||
\(179\) | 0.168600 | − | 0.607243i | 0.0126018 | − | 0.0453875i | −0.956982 | − | 0.290148i | \(-0.906296\pi\) |
0.969584 | + | 0.244760i | \(0.0787093\pi\) | |||||||
\(180\) | −7.80180 | − | 8.99871i | −0.581512 | − | 0.670724i | ||||
\(181\) | 2.99237 | + | 1.80045i | 0.222421 | + | 0.133827i | 0.622404 | − | 0.782696i | \(-0.286156\pi\) |
−0.399982 | + | 0.916523i | \(0.630984\pi\) | |||||||
\(182\) | 1.76254 | + | 0.0955623i | 0.130648 | + | 0.00708355i | ||||
\(183\) | 9.24411 | + | 3.92118i | 0.683344 | + | 0.289862i | ||||
\(184\) | 0.504924 | − | 3.07990i | 0.0372235 | − | 0.227053i | ||||
\(185\) | −12.9518 | + | 12.2686i | −0.952238 | + | 0.902007i | ||||
\(186\) | −3.63629 | + | 1.82643i | −0.266626 | + | 0.133920i | ||||
\(187\) | 0.525267 | − | 1.55894i | 0.0384113 | − | 0.114001i | ||||
\(188\) | 9.00544 | − | 16.9861i | 0.656789 | − | 1.23884i | ||||
\(189\) | 4.28220 | − | 6.92916i | 0.311484 | − | 0.504022i | ||||
\(190\) | 2.91311 | − | 1.16069i | 0.211339 | − | 0.0842053i | ||||
\(191\) | −2.82095 | − | 1.30511i | −0.204116 | − | 0.0944343i | 0.315168 | − | 0.949036i | \(-0.397939\pi\) |
−0.519284 | + | 0.854602i | \(0.673801\pi\) | |||||||
\(192\) | −1.33240 | + | 7.13890i | −0.0961574 | + | 0.515206i | ||||
\(193\) | −3.71262 | − | 7.00274i | −0.267240 | − | 0.504068i | 0.713181 | − | 0.700980i | \(-0.247254\pi\) |
−0.980421 | + | 0.196912i | \(0.936909\pi\) | |||||||
\(194\) | −0.436447 | + | 0.0715518i | −0.0313350 | + | 0.00513712i | ||||
\(195\) | 10.0546 | − | 1.98213i | 0.720021 | − | 0.141943i | ||||
\(196\) | 5.38006 | + | 6.33390i | 0.384290 | + | 0.452421i | ||||
\(197\) | −18.0471 | − | 12.2362i | −1.28580 | − | 0.871796i | −0.289456 | − | 0.957191i | \(-0.593474\pi\) |
−0.996347 | + | 0.0853955i | \(0.972785\pi\) | |||||||
\(198\) | 0.703695 | + | 1.14318i | 0.0500094 | + | 0.0812426i | ||||
\(199\) | −7.60676 | − | 7.20551i | −0.539229 | − | 0.510785i | 0.368903 | − | 0.929468i | \(-0.379733\pi\) |
−0.908133 | + | 0.418683i | \(0.862492\pi\) | |||||||
\(200\) | −0.366379 | + | 0.278514i | −0.0259069 | + | 0.0196939i | ||||
\(201\) | 8.25827 | + | 11.3750i | 0.582493 | + | 0.802330i | ||||
\(202\) | −2.50903 | − | 0.272874i | −0.176535 | − | 0.0191993i | ||||
\(203\) | 0.661290 | + | 6.08046i | 0.0464134 | + | 0.426765i | ||||
\(204\) | −4.19976 | − | 2.34646i | −0.294042 | − | 0.164285i | ||||
\(205\) | 14.7758 | − | 17.3954i | 1.03198 | − | 1.21495i | ||||
\(206\) | 1.40414 | − | 0.389858i | 0.0978312 | − | 0.0271627i | ||||
\(207\) | 5.47757 | − | 2.24700i | 0.380717 | − | 0.156177i | ||||
\(208\) | −6.24637 | − | 5.30571i | −0.433108 | − | 0.367885i | ||||
\(209\) | 3.70288 | − | 0.815065i | 0.256133 | − | 0.0563792i | ||||
\(210\) | 1.98341 | + | 1.40951i | 0.136868 | + | 0.0972655i | ||||
\(211\) | −2.07923 | + | 19.1182i | −0.143140 | + | 1.31615i | 0.673578 | + | 0.739116i | \(0.264757\pi\) |
−0.816718 | + | 0.577037i | \(0.804209\pi\) | |||||||
\(212\) | −0.933358 | + | 4.24029i | −0.0641033 | + | 0.291224i | ||||
\(213\) | 22.2344 | + | 1.69721i | 1.52348 | + | 0.116291i | ||||
\(214\) | 3.78469 | − | 3.99545i | 0.258716 | − | 0.273123i | ||||
\(215\) | 19.3219 | − | 8.93928i | 1.31774 | − | 0.609654i | ||||
\(216\) | 7.66947 | − | 2.95059i | 0.521841 | − | 0.200762i | ||||
\(217\) | −6.79700 | + | 5.77343i | −0.461411 | + | 0.391926i | ||||
\(218\) | −3.85335 | + | 5.06900i | −0.260982 | + | 0.343316i | ||||
\(219\) | 1.34137 | − | 2.12215i | 0.0906412 | − | 0.143402i | ||||
\(220\) | 3.80051 | − | 2.01490i | 0.256230 | − | 0.135845i | ||||
\(221\) | 3.54700 | − | 2.13416i | 0.238597 | − | 0.143559i | ||||
\(222\) | −2.35105 | − | 5.39006i | −0.157792 | − | 0.361757i | ||||
\(223\) | 5.50442 | + | 13.8150i | 0.368603 | + | 0.925124i | 0.989928 | + | 0.141571i | \(0.0452154\pi\) |
−0.621325 | + | 0.783553i | \(0.713405\pi\) | |||||||
\(224\) | −0.373782 | − | 6.89401i | −0.0249744 | − | 0.460625i | ||||
\(225\) | −0.814261 | − | 0.314915i | −0.0542841 | − | 0.0209943i | ||||
\(226\) | −7.82843 | − | 2.63771i | −0.520740 | − | 0.175458i | ||||
\(227\) | −0.0477030 | + | 0.119726i | −0.00316616 | + | 0.00794646i | −0.930551 | − | 0.366162i | \(-0.880672\pi\) |
0.927385 | + | 0.374108i | \(0.122051\pi\) | |||||||
\(228\) | −0.356370 | − | 11.0822i | −0.0236012 | − | 0.733939i | ||||
\(229\) | −10.0827 | − | 1.65297i | −0.666281 | − | 0.109231i | −0.180856 | − | 0.983510i | \(-0.557887\pi\) |
−0.485425 | + | 0.874278i | \(0.661335\pi\) | |||||||
\(230\) | 0.564707 | + | 1.67599i | 0.0372357 | + | 0.110512i | ||||
\(231\) | 2.09082 | + | 2.06976i | 0.137566 | + | 0.136180i | ||||
\(232\) | −3.18112 | + | 5.28706i | −0.208851 | + | 0.347112i | ||||
\(233\) | −11.6939 | − | 17.2471i | −0.766090 | − | 1.12990i | −0.987943 | − | 0.154818i | \(-0.950521\pi\) |
0.221853 | − | 0.975080i | \(-0.428789\pi\) | |||||||
\(234\) | −0.512715 | + | 3.33885i | −0.0335172 | + | 0.218267i | ||||
\(235\) | 22.8046i | 1.48761i | ||||||||
\(236\) | −11.6020 | + | 7.92846i | −0.755228 | + | 0.516099i | ||||
\(237\) | 4.32488 | − | 4.87012i | 0.280931 | − | 0.316349i | ||||
\(238\) | 0.947041 | + | 0.262945i | 0.0613875 | + | 0.0170442i | ||||
\(239\) | −6.23034 | + | 4.22428i | −0.403008 | + | 0.273246i | −0.745806 | − | 0.666163i | \(-0.767935\pi\) |
0.342799 | + | 0.939409i | \(0.388625\pi\) | |||||||
\(240\) | −3.37074 | − | 10.7831i | −0.217581 | − | 0.696043i | ||||
\(241\) | 0.233329 | − | 4.30350i | 0.0150301 | − | 0.277213i | −0.981352 | − | 0.192221i | \(-0.938431\pi\) |
0.996382 | − | 0.0849918i | \(-0.0270864\pi\) | |||||||
\(242\) | 3.84541 | − | 1.29567i | 0.247193 | − | 0.0832889i | ||||
\(243\) | 12.3932 | + | 9.45565i | 0.795022 | + | 0.606580i | ||||
\(244\) | 7.29379 | + | 7.69996i | 0.466937 | + | 0.492939i | ||||
\(245\) | −9.15737 | − | 3.64863i | −0.585043 | − | 0.233102i | ||||
\(246\) | 3.73574 | + | 6.53014i | 0.238182 | + | 0.416347i | ||||
\(247\) | 8.42946 | + | 4.46901i | 0.536353 | + | 0.284357i | ||||
\(248\) | −8.98357 | + | 0.487075i | −0.570457 | + | 0.0309293i | ||||
\(249\) | 16.9583 | + | 6.13289i | 1.07469 | + | 0.388656i | ||||
\(250\) | 1.99093 | − | 4.30333i | 0.125918 | − | 0.272166i | ||||
\(251\) | −12.3492 | − | 20.5245i | −0.779475 | − | 1.29550i | −0.950653 | − | 0.310257i | \(-0.899585\pi\) |
0.171178 | − | 0.985240i | \(-0.445243\pi\) | |||||||
\(252\) | 7.07190 | − | 4.90012i | 0.445488 | − | 0.308679i | ||||
\(253\) | 0.345950 | + | 2.11020i | 0.0217497 | + | 0.132667i | ||||
\(254\) | 2.47862 | + | 1.88420i | 0.155522 | + | 0.118225i | ||||
\(255\) | 5.70498 | + | 0.125642i | 0.357260 | + | 0.00786800i | ||||
\(256\) | −2.26324 | + | 3.33803i | −0.141452 | + | 0.208627i | ||||
\(257\) | 8.98292 | + | 19.4163i | 0.560339 | + | 1.21115i | 0.956165 | + | 0.292828i | \(0.0945962\pi\) |
−0.395826 | + | 0.918325i | \(0.629542\pi\) | |||||||
\(258\) | 0.604939 | + | 6.99140i | 0.0376618 | + | 0.435266i | ||||
\(259\) | −7.79927 | − | 10.2598i | −0.484623 | − | 0.637511i | ||||
\(260\) | 10.5713 | + | 2.32692i | 0.655605 | + | 0.144310i | ||||
\(261\) | −11.7044 | + | 0.118524i | −0.724483 | + | 0.00733646i | ||||
\(262\) | 2.54736 | − | 0.277042i | 0.157376 | − | 0.0171157i | ||||
\(263\) | −2.79350 | − | 12.6910i | −0.172254 | − | 0.782559i | −0.980939 | − | 0.194317i | \(-0.937751\pi\) |
0.808684 | − | 0.588243i | \(-0.200180\pi\) | |||||||
\(264\) | 0.415561 | + | 2.93874i | 0.0255760 | + | 0.180867i | ||||
\(265\) | −1.37778 | − | 4.96233i | −0.0846367 | − | 0.304834i | ||||
\(266\) | 0.606036 | + | 2.18275i | 0.0371585 | + | 0.133833i | ||||
\(267\) | −2.06814 | − | 14.6253i | −0.126568 | − | 0.895055i | ||||
\(268\) | 3.19170 | + | 14.5000i | 0.194964 | + | 0.885730i | ||||
\(269\) | −13.0815 | + | 1.42269i | −0.797590 | + | 0.0867432i | −0.497834 | − | 0.867273i | \(-0.665871\pi\) |
−0.299757 | + | 0.954016i | \(0.596905\pi\) | |||||||
\(270\) | −3.05659 | + | 3.51295i | −0.186018 | + | 0.213791i | ||||
\(271\) | 17.5991 | + | 3.87387i | 1.06907 | + | 0.235321i | 0.714448 | − | 0.699688i | \(-0.246678\pi\) |
0.354624 | + | 0.935009i | \(0.384609\pi\) | |||||||
\(272\) | −2.76171 | − | 3.63297i | −0.167453 | − | 0.220281i | ||||
\(273\) | 0.638184 | + | 7.37562i | 0.0386247 | + | 0.446393i | ||||
\(274\) | −2.54206 | − | 5.49457i | −0.153571 | − | 0.331939i | ||||
\(275\) | 0.176955 | − | 0.260989i | 0.0106708 | − | 0.0157382i | ||||
\(276\) | 6.25197 | + | 0.137688i | 0.376324 | + | 0.00828786i | ||||
\(277\) | 20.8460 | + | 15.8467i | 1.25252 | + | 0.952139i | 0.999881 | − | 0.0154229i | \(-0.00490947\pi\) |
0.252636 | + | 0.967561i | \(0.418703\pi\) | |||||||
\(278\) | −0.242271 | − | 1.47779i | −0.0145305 | − | 0.0886319i | ||||
\(279\) | −9.72020 | − | 14.0283i | −0.581933 | − | 0.839850i | ||||
\(280\) | 2.77354 | + | 4.60966i | 0.165751 | + | 0.275480i | ||||
\(281\) | 6.57283 | − | 14.2069i | 0.392102 | − | 0.847515i | −0.606522 | − | 0.795067i | \(-0.707436\pi\) |
0.998624 | − | 0.0524478i | \(-0.0167023\pi\) | |||||||
\(282\) | −7.06883 | − | 2.55642i | −0.420943 | − | 0.152232i | ||||
\(283\) | 1.16157 | − | 0.0629787i | 0.0690484 | − | 0.00374370i | −0.0195823 | − | 0.999808i | \(-0.506234\pi\) |
0.0886307 | + | 0.996065i | \(0.471751\pi\) | |||||||
\(284\) | 20.8095 | + | 11.0325i | 1.23481 | + | 0.654657i | ||||
\(285\) | 6.53082 | + | 11.4160i | 0.386853 | + | 0.676226i | ||||
\(286\) | −1.13341 | − | 0.451590i | −0.0670197 | − | 0.0267031i | ||||
\(287\) | 11.3387 | + | 11.9701i | 0.669299 | + | 0.706571i | ||||
\(288\) | 13.1998 | + | 0.581688i | 0.777809 | + | 0.0342763i | ||||
\(289\) | −13.9258 | + | 4.69214i | −0.819163 | + | 0.276008i | ||||
\(290\) | 0.189296 | − | 3.49136i | 0.0111159 | − | 0.205020i | ||||
\(291\) | −0.553440 | − | 1.77046i | −0.0324432 | − | 0.103786i | ||||
\(292\) | 2.19480 | − | 1.48811i | 0.128441 | − | 0.0870851i | ||||
\(293\) | 5.53070 | + | 1.53559i | 0.323107 | + | 0.0897102i | 0.425295 | − | 0.905055i | \(-0.360170\pi\) |
−0.102188 | + | 0.994765i | \(0.532584\pi\) | |||||||
\(294\) | 2.15753 | − | 2.42953i | 0.125830 | − | 0.141693i | ||||
\(295\) | 7.75364 | − | 14.7550i | 0.451434 | − | 0.859072i | ||||
\(296\) | − | 13.0014i | − | 0.755690i | ||||||
\(297\) | −4.33419 | + | 3.59364i | −0.251495 | + | 0.208524i | ||||
\(298\) | 4.18319 | + | 6.16975i | 0.242326 | + | 0.357404i | ||||
\(299\) | −2.77416 | + | 4.61069i | −0.160434 | + | 0.266643i | ||||
\(300\) | −0.655339 | − | 0.648737i | −0.0378360 | − | 0.0374548i | ||||
\(301\) | 4.91072 | + | 14.5745i | 0.283049 | + | 0.840060i | ||||
\(302\) | −2.05597 | − | 0.337060i | −0.118308 | − | 0.0193956i | ||||
\(303\) | −0.340212 | − | 10.5798i | −0.0195447 | − | 0.607793i | ||||
\(304\) | 3.89310 | − | 9.77095i | 0.223285 | − | 0.560402i | ||||
\(305\) | −11.9219 | − | 4.01696i | −0.682646 | − | 0.230010i | ||||
\(306\) | −0.678479 | + | 1.75431i | −0.0387861 | + | 0.100287i | ||||
\(307\) | −1.55979 | − | 28.7686i | −0.0890217 | − | 1.64191i | −0.612932 | − | 0.790135i | \(-0.710010\pi\) |
0.523911 | − | 0.851773i | \(-0.324473\pi\) | |||||||
\(308\) | 1.15019 | + | 2.88676i | 0.0655382 | + | 0.164488i | ||||
\(309\) | 2.44358 | + | 5.60219i | 0.139010 | + | 0.318698i | ||||
\(310\) | 4.36839 | − | 2.62837i | 0.248108 | − | 0.149282i | ||||
\(311\) | −13.6885 | + | 7.25716i | −0.776201 | + | 0.411516i | −0.808898 | − | 0.587950i | \(-0.799935\pi\) |
0.0326967 | + | 0.999465i | \(0.489590\pi\) | |||||||
\(312\) | −3.99039 | + | 6.31312i | −0.225911 | + | 0.357410i | ||||
\(313\) | 15.7701 | − | 20.7452i | 0.891377 | − | 1.17259i | −0.0928503 | − | 0.995680i | \(-0.529598\pi\) |
0.984228 | − | 0.176907i | \(-0.0566091\pi\) | |||||||
\(314\) | −6.54699 | + | 5.56106i | −0.369468 | + | 0.313829i | ||||
\(315\) | −4.68870 | + | 9.06444i | −0.264178 | + | 0.510723i | ||||
\(316\) | 6.24371 | − | 2.88865i | 0.351236 | − | 0.162499i | ||||
\(317\) | 8.97982 | − | 9.47988i | 0.504357 | − | 0.532443i | −0.423244 | − | 0.906016i | \(-0.639109\pi\) |
0.927601 | + | 0.373573i | \(0.121867\pi\) | |||||||
\(318\) | 1.69265 | + | 0.129204i | 0.0949189 | + | 0.00724542i | ||||
\(319\) | 0.908808 | − | 4.12876i | 0.0508835 | − | 0.231166i | ||||
\(320\) | 0.983721 | − | 9.04517i | 0.0549917 | − | 0.505640i | ||||
\(321\) | 18.8149 | + | 13.3708i | 1.05014 | + | 0.746286i | ||||
\(322\) | −1.24774 | + | 0.274649i | −0.0695340 | + | 0.0153056i | ||||
\(323\) | 4.04904 | + | 3.43928i | 0.225294 | + | 0.191367i | ||||
\(324\) | 8.00540 | + | 14.3879i | 0.444744 | + | 0.799330i | ||||
\(325\) | 0.764545 | − | 0.212275i | 0.0424093 | − | 0.0117749i | ||||
\(326\) | 4.46032 | − | 5.25109i | 0.247034 | − | 0.290831i | ||||
\(327\) | −23.3134 | − | 13.0255i | −1.28924 | − | 0.720313i | ||||
\(328\) | 1.79838 | + | 16.5358i | 0.0992988 | + | 0.913037i | ||||
\(329\) | −16.3774 | − | 1.78115i | −0.902916 | − | 0.0981981i | ||||
\(330\) | −0.988086 | − | 1.36100i | −0.0543924 | − | 0.0749203i | ||||
\(331\) | −26.8078 | + | 20.3787i | −1.47349 | + | 1.12012i | −0.507462 | + | 0.861674i | \(0.669416\pi\) |
−0.966027 | + | 0.258443i | \(0.916791\pi\) | |||||||
\(332\) | 13.8282 | + | 13.0988i | 0.758923 | + | 0.718890i | ||||
\(333\) | 21.0033 | − | 12.9287i | 1.15097 | − | 0.708489i | ||||
\(334\) | 6.38381 | + | 4.32833i | 0.349307 | + | 0.236836i | ||||
\(335\) | −11.4011 | − | 13.4225i | −0.622911 | − | 0.733347i | ||||
\(336\) | 8.00726 | − | 1.57853i | 0.436832 | − | 0.0861161i | ||||
\(337\) | −3.85373 | + | 0.631787i | −0.209926 | + | 0.0344156i | −0.265827 | − | 0.964021i | \(-0.585645\pi\) |
0.0559012 | + | 0.998436i | \(0.482197\pi\) | |||||||
\(338\) | 1.07664 | + | 2.03076i | 0.0585615 | + | 0.110459i | ||||
\(339\) | 6.35672 | − | 34.0590i | 0.345250 | − | 1.84983i | ||||
\(340\) | 5.47020 | + | 2.53078i | 0.296663 | + | 0.137251i | ||||
\(341\) | 5.72636 | − | 2.28159i | 0.310100 | − | 0.123555i | ||||
\(342\) | −4.27078 | + | 0.744642i | −0.230937 | + | 0.0402657i | ||||
\(343\) | 8.47554 | − | 15.9866i | 0.457636 | − | 0.863194i | ||||
\(344\) | −4.95406 | + | 14.7031i | −0.267105 | + | 0.792739i | ||||
\(345\) | −6.62846 | + | 3.32933i | −0.356864 | + | 0.179245i | ||||
\(346\) | 2.22089 | − | 2.10374i | 0.119396 | − | 0.113098i | ||||
\(347\) | −1.41740 | + | 8.64577i | −0.0760901 | + | 0.464129i | 0.921107 | + | 0.389310i | \(0.127286\pi\) |
−0.997197 | + | 0.0748196i | \(0.976162\pi\) | |||||||
\(348\) | −11.3816 | − | 4.82787i | −0.610118 | − | 0.258801i | ||||
\(349\) | −26.8313 | − | 1.45475i | −1.43625 | − | 0.0778710i | −0.680506 | − | 0.732742i | \(-0.738240\pi\) |
−0.755741 | + | 0.654871i | \(0.772723\pi\) | |||||||
\(350\) | 0.161428 | + | 0.0971280i | 0.00862869 | + | 0.00519171i | ||||
\(351\) | −14.1667 | − | 0.168500i | −0.756163 | − | 0.00899384i | ||||
\(352\) | −1.27668 | + | 4.59819i | −0.0680474 | + | 0.245084i | ||||
\(353\) | −14.6961 | −0.782196 | −0.391098 | − | 0.920349i | \(-0.627905\pi\) | ||||
−0.391098 | + | 0.920349i | \(0.627905\pi\) | |||||||
\(354\) | 3.70449 | + | 4.05748i | 0.196892 | + | 0.215653i | ||||
\(355\) | −27.9377 | −1.48278 | ||||||||
\(356\) | 4.17384 | − | 15.0328i | 0.221213 | − | 0.796737i | ||||
\(357\) | −0.535819 | + | 4.08729i | −0.0283585 | + | 0.216322i | ||||
\(358\) | −0.223006 | − | 0.134178i | −0.0117862 | − | 0.00709153i | ||||
\(359\) | −27.8993 | − | 1.51266i | −1.47247 | − | 0.0798349i | −0.699660 | − | 0.714476i | \(-0.746665\pi\) |
−0.772807 | + | 0.634641i | \(0.781148\pi\) | |||||||
\(360\) | −9.29956 | + | 4.41730i | −0.490130 | + | 0.232812i | ||||
\(361\) | 1.09293 | − | 6.66657i | 0.0575225 | − | 0.350872i | ||||
\(362\) | 1.04703 | − | 0.991803i | 0.0550309 | − | 0.0521280i | ||||
\(363\) | 7.63886 | + | 15.2084i | 0.400936 | + | 0.798234i | ||||
\(364\) | −2.49678 | + | 7.41018i | −0.130867 | + | 0.388399i | ||||
\(365\) | −1.47331 | + | 2.77896i | −0.0771166 | + | 0.145457i | ||||
\(366\) | 2.58161 | − | 3.24518i | 0.134943 | − | 0.169628i | ||||
\(367\) | −6.58869 | + | 2.62517i | −0.343927 | + | 0.137033i | −0.535705 | − | 0.844405i | \(-0.679954\pi\) |
0.191778 | + | 0.981438i | \(0.438575\pi\) | |||||||
\(368\) | 5.38375 | + | 2.49079i | 0.280647 | + | 0.129841i | ||||
\(369\) | −24.9247 | + | 19.3486i | −1.29753 | + | 1.00725i | ||||
\(370\) | 3.45097 | + | 6.50922i | 0.179407 | + | 0.338398i | ||||
\(371\) | 3.67138 | − | 0.601892i | 0.190608 | − | 0.0312487i | ||||
\(372\) | −3.48661 | − | 17.6861i | −0.180772 | − | 0.916984i | ||||
\(373\) | −14.5926 | − | 17.1798i | −0.755577 | − | 0.889534i | 0.241141 | − | 0.970490i | \(-0.422478\pi\) |
−0.996718 | + | 0.0809564i | \(0.974203\pi\) | |||||||
\(374\) | −0.562296 | − | 0.381246i | −0.0290757 | − | 0.0197138i | ||||
\(375\) | 19.0401 | + | 5.74087i | 0.983225 | + | 0.296457i | ||||
\(376\) | −12.0656 | − | 11.4291i | −0.622235 | − | 0.589413i | ||||
\(377\) | 8.46898 | − | 6.43795i | 0.436174 | − | 0.331571i | ||||
\(378\) | −2.28413 | − | 2.46951i | −0.117483 | − | 0.127018i | ||||
\(379\) | −25.3530 | − | 2.75730i | −1.30230 | − | 0.141633i | −0.569448 | − | 0.822027i | \(-0.692843\pi\) |
−0.732847 | + | 0.680394i | \(0.761809\pi\) | |||||||
\(380\) | 1.50196 | + | 13.8103i | 0.0770487 | + | 0.708451i | ||||
\(381\) | −6.36917 | + | 11.3997i | −0.326302 | + | 0.584025i | ||||
\(382\) | −0.830988 | + | 0.978315i | −0.0425170 | + | 0.0500549i | ||||
\(383\) | −31.4959 | + | 8.74480i | −1.60937 | + | 0.446838i | −0.951841 | − | 0.306593i | \(-0.900811\pi\) |
−0.657526 | + | 0.753432i | \(0.728397\pi\) | |||||||
\(384\) | 16.3957 | + | 8.02833i | 0.836688 | + | 0.409694i | ||||
\(385\) | −2.80928 | − | 2.38623i | −0.143174 | − | 0.121613i | ||||
\(386\) | −3.19669 | + | 0.703644i | −0.162707 | + | 0.0358146i | ||||
\(387\) | −28.6787 | + | 6.61783i | −1.45782 | + | 0.336403i | ||||
\(388\) | 0.211834 | − | 1.94778i | 0.0107542 | − | 0.0988835i | ||||
\(389\) | −0.309386 | + | 1.40555i | −0.0156865 | + | 0.0712643i | −0.983814 | − | 0.179195i | \(-0.942651\pi\) |
0.968127 | + | 0.250459i | \(0.0805817\pi\) | |||||||
\(390\) | 0.322115 | − | 4.21988i | 0.0163109 | − | 0.213682i | ||||
\(391\) | −2.06050 | + | 2.17525i | −0.104204 | + | 0.110007i | ||||
\(392\) | 6.51990 | − | 3.01643i | 0.329305 | − | 0.152353i | ||||
\(393\) | 2.64641 | + | 10.4160i | 0.133494 | + | 0.525418i | ||||
\(394\) | −6.86289 | + | 5.82939i | −0.345747 | + | 0.293680i | ||||
\(395\) | −4.93836 | + | 6.49630i | −0.248476 | + | 0.326864i | ||||
\(396\) | −5.71368 | + | 1.64889i | −0.287123 | + | 0.0828599i | ||||
\(397\) | 12.1887 | − | 6.46205i | 0.611734 | − | 0.324321i | −0.133576 | − | 0.991039i | \(-0.542646\pi\) |
0.745310 | + | 0.666718i | \(0.232301\pi\) | |||||||
\(398\) | −3.70761 | + | 2.23079i | −0.185845 | + | 0.111820i | ||||
\(399\) | −8.70864 | + | 3.79855i | −0.435977 | + | 0.190165i | ||||
\(400\) | −0.323771 | − | 0.812603i | −0.0161885 | − | 0.0406301i | ||||
\(401\) | 1.13008 | + | 20.8431i | 0.0564335 | + | 1.04086i | 0.880404 | + | 0.474224i | \(0.157271\pi\) |
−0.823971 | + | 0.566632i | \(0.808246\pi\) | |||||||
\(402\) | 5.43870 | − | 2.02939i | 0.271257 | − | 0.101217i | ||||
\(403\) | 14.6993 | + | 4.95277i | 0.732225 | + | 0.246715i | ||||
\(404\) | 4.13834 | − | 10.3865i | 0.205890 | − | 0.516745i | ||||
\(405\) | −16.3836 | − | 10.6305i | −0.814105 | − | 0.528233i | ||||
\(406\) | 2.49258 | + | 0.408638i | 0.123705 | + | 0.0202804i | ||||
\(407\) | 2.84432 | + | 8.44164i | 0.140988 | + | 0.418437i | ||||
\(408\) | −2.92568 | + | 2.95546i | −0.144843 | + | 0.146317i | ||||
\(409\) | 11.9273 | − | 19.8233i | 0.589767 | − | 0.980200i | −0.407972 | − | 0.912994i | \(-0.633764\pi\) |
0.997739 | − | 0.0672056i | \(-0.0214084\pi\) | |||||||
\(410\) | −5.28948 | − | 7.80140i | −0.261229 | − | 0.385284i | ||||
\(411\) | 21.3251 | − | 13.7833i | 1.05189 | − | 0.679882i | ||||
\(412\) | 6.45564i | 0.318047i | ||||||||
\(413\) | 9.99093 | + | 6.72082i | 0.491622 | + | 0.330710i | ||||
\(414\) | −0.288951 | − | 2.42787i | −0.0142012 | − | 0.119323i | ||||
\(415\) | −21.7695 | − | 6.04428i | −1.06862 | − | 0.296702i | ||||
\(416\) | −9.93925 | + | 6.73898i | −0.487312 | + | 0.330406i | ||||
\(417\) | 5.99471 | − | 1.87392i | 0.293562 | − | 0.0917664i | ||||
\(418\) | 0.0847700 | − | 1.56349i | 0.00414624 | − | 0.0764728i | ||||
\(419\) | 17.3275 | − | 5.83832i | 0.846504 | − | 0.285221i | 0.137567 | − | 0.990492i | \(-0.456072\pi\) |
0.708937 | + | 0.705272i | \(0.249175\pi\) | |||||||
\(420\) | −8.36715 | + | 6.79573i | −0.408275 | + | 0.331597i | ||||
\(421\) | 13.0773 | + | 13.8056i | 0.637351 | + | 0.672843i | 0.962018 | − | 0.272985i | \(-0.0880110\pi\) |
−0.324668 | + | 0.945828i | \(0.605252\pi\) | |||||||
\(422\) | 7.37777 | + | 2.93957i | 0.359144 | + | 0.143096i | ||||
\(423\) | 6.46520 | − | 30.8568i | 0.314349 | − | 1.50031i | ||||
\(424\) | 3.31602 | + | 1.75804i | 0.161040 | + | 0.0853780i | ||||
\(425\) | 0.441173 | − | 0.0239197i | 0.0214000 | − | 0.00116028i | ||||
\(426\) | 3.13184 | − | 8.65996i | 0.151738 | − | 0.419576i | ||||
\(427\) | 3.81599 | − | 8.24813i | 0.184669 | − | 0.399155i | ||||
\(428\) | 12.5692 | + | 20.8902i | 0.607556 | + | 1.00977i | ||||
\(429\) | 1.20979 | − | 4.97201i | 0.0584091 | − | 0.240051i | ||||
\(430\) | −1.42239 | − | 8.67617i | −0.0685935 | − | 0.418402i | ||||
\(431\) | 16.2103 | + | 12.3227i | 0.780821 | + | 0.593565i | 0.917816 | − | 0.397007i | \(-0.129951\pi\) |
−0.136994 | + | 0.990572i | \(0.543744\pi\) | |||||||
\(432\) | 1.50389 | + | 15.5461i | 0.0723559 | + | 0.747963i | ||||
\(433\) | −4.08778 | + | 6.02902i | −0.196446 | + | 0.289736i | −0.913136 | − | 0.407656i | \(-0.866346\pi\) |
0.716689 | + | 0.697393i | \(0.245657\pi\) | |||||||
\(434\) | 1.54641 | + | 3.34251i | 0.0742299 | + | 0.160445i | ||||
\(435\) | 14.6101 | − | 1.26416i | 0.700502 | − | 0.0606117i | ||||
\(436\) | −17.0703 | − | 22.4556i | −0.817519 | − | 1.07543i | ||||
\(437\) | −6.74427 | − | 1.48453i | −0.322622 | − | 0.0710145i | ||||
\(438\) | −0.696246 | − | 0.768212i | −0.0332679 | − | 0.0367066i | ||||
\(439\) | 23.4114 | − | 2.54614i | 1.11737 | − | 0.121521i | 0.469252 | − | 0.883064i | \(-0.344524\pi\) |
0.648114 | + | 0.761544i | \(0.275558\pi\) | |||||||
\(440\) | −0.799360 | − | 3.63153i | −0.0381080 | − | 0.173126i | ||||
\(441\) | 11.3564 | + | 7.53309i | 0.540780 | + | 0.358719i | ||||
\(442\) | −0.457343 | − | 1.64720i | −0.0217536 | − | 0.0783493i | ||||
\(443\) | 6.72538 | + | 24.2226i | 0.319533 | + | 1.15085i | 0.932627 | + | 0.360843i | \(0.117511\pi\) |
−0.613094 | + | 0.790010i | \(0.710075\pi\) | |||||||
\(444\) | 25.7939 | − | 3.64746i | 1.22412 | − | 0.173101i | ||||
\(445\) | 3.97820 | + | 18.0731i | 0.188585 | + | 0.856749i | ||||
\(446\) | 6.10539 | − | 0.664001i | 0.289099 | − | 0.0314414i | ||||
\(447\) | −23.1653 | + | 20.9951i | −1.09568 | + | 0.993036i | ||||
\(448\) | 6.41907 | + | 1.41294i | 0.303273 | + | 0.0667554i | ||||
\(449\) | −14.4989 | − | 19.0730i | −0.684247 | − | 0.900111i | 0.314546 | − | 0.949242i | \(-0.398148\pi\) |
−0.998792 | + | 0.0491311i | \(0.984355\pi\) | |||||||
\(450\) | −0.215271 | + | 0.289217i | −0.0101480 | + | 0.0136338i | ||||
\(451\) | −4.78521 | − | 10.3431i | −0.225327 | − | 0.487036i | ||||
\(452\) | 20.5369 | − | 30.2897i | 0.965976 | − | 1.42471i | ||||
\(453\) | 0.192395 | − | 8.73601i | 0.00903950 | − | 0.410454i | ||||
\(454\) | 0.0423706 | + | 0.0322093i | 0.00198855 | + | 0.00151166i | ||||
\(455\) | −1.50055 | − | 9.15298i | −0.0703471 | − | 0.429098i | ||||
\(456\) | −9.31315 | − | 2.26607i | −0.436128 | − | 0.106118i | ||||
\(457\) | −5.20520 | − | 8.65110i | −0.243489 | − | 0.404681i | 0.710879 | − | 0.703314i | \(-0.248297\pi\) |
−0.954368 | + | 0.298632i | \(0.903470\pi\) | |||||||
\(458\) | −1.77169 | + | 3.82945i | −0.0827857 | + | 0.178938i | ||||
\(459\) | −7.68376 | − | 1.78739i | −0.358647 | − | 0.0834284i | ||||
\(460\) | −7.82326 | + | 0.424165i | −0.364761 | + | 0.0197768i | ||||
\(461\) | 13.6786 | + | 7.25195i | 0.637077 | + | 0.337757i | 0.755444 | − | 0.655213i | \(-0.227421\pi\) |
−0.118367 | + | 0.992970i | \(0.537766\pi\) | |||||||
\(462\) | 1.05459 | − | 0.603307i | 0.0490640 | − | 0.0280684i | ||||
\(463\) | 36.1289 | + | 14.3951i | 1.67905 | + | 0.668995i | 0.997998 | − | 0.0632393i | \(-0.0201431\pi\) |
0.681053 | + | 0.732234i | \(0.261522\pi\) | |||||||
\(464\) | −8.06512 | − | 8.51424i | −0.374414 | − | 0.395264i | ||||
\(465\) | 13.4804 | + | 16.5976i | 0.625140 | + | 0.769696i | ||||
\(466\) | −8.15490 | + | 2.74770i | −0.377768 | + | 0.127285i | ||||
\(467\) | −0.343798 | + | 6.34098i | −0.0159091 | + | 0.293425i | 0.979742 | + | 0.200264i | \(0.0641800\pi\) |
−0.995651 | + | 0.0931614i | \(0.970303\pi\) | |||||||
\(468\) | −13.6443 | − | 6.14556i | −0.630708 | − | 0.284079i | ||||
\(469\) | 10.5300 | − | 7.13952i | 0.486230 | − | 0.329672i | ||||
\(470\) | 9.07435 | + | 2.51948i | 0.418569 | + | 0.116215i | ||||
\(471\) | −26.9387 | − | 23.9227i | −1.24127 | − | 1.10230i | ||||
\(472\) | 3.92074 | + | 11.4972i | 0.180467 | + | 0.529203i | ||||
\(473\) | − | 10.6304i | − | 0.488784i | ||||||
\(474\) | −1.46009 | − | 2.25900i | −0.0670642 | − | 0.103760i | ||||
\(475\) | 0.571463 | + | 0.842845i | 0.0262205 | + | 0.0386724i | ||||
\(476\) | −2.24477 | + | 3.73083i | −0.102889 | + | 0.171002i | ||||
\(477\) | 0.457429 | + | 7.10511i | 0.0209442 | + | 0.325321i | ||||
\(478\) | 0.992579 | + | 2.94587i | 0.0453995 | + | 0.134741i | ||||
\(479\) | −11.5636 | − | 1.89576i | −0.528356 | − | 0.0866196i | −0.108301 | − | 0.994118i | \(-0.534541\pi\) |
−0.420055 | + | 0.907499i | \(0.637989\pi\) | |||||||
\(480\) | −16.5451 | + | 0.532038i | −0.755176 | + | 0.0242841i | ||||
\(481\) | −8.29688 | + | 20.8236i | −0.378305 | + | 0.949475i | ||||
\(482\) | −1.68666 | − | 0.568303i | −0.0768254 | − | 0.0258855i | ||||
\(483\) | −1.87329 | − | 5.02035i | −0.0852376 | − | 0.228434i | ||||
\(484\) | 0.973208 | + | 17.9498i | 0.0442367 | + | 0.815898i | ||||
\(485\) | 0.860199 | + | 2.15894i | 0.0390596 | + | 0.0980322i | ||||
\(486\) | 5.13179 | − | 3.88679i | 0.232783 | − | 0.176308i | ||||
\(487\) | 15.9230 | − | 9.58056i | 0.721541 | − | 0.434137i | −0.106859 | − | 0.994274i | \(-0.534079\pi\) |
0.828400 | + | 0.560137i | \(0.189252\pi\) | |||||||
\(488\) | 8.10030 | − | 4.29451i | 0.366683 | − | 0.194403i | ||||
\(489\) | 24.4261 | + | 15.4392i | 1.10458 | + | 0.698185i | ||||
\(490\) | −2.46357 | + | 3.24077i | −0.111293 | + | 0.146403i | ||||
\(491\) | 22.4995 | − | 19.1113i | 1.01539 | − | 0.862479i | 0.0248472 | − | 0.999691i | \(-0.492090\pi\) |
0.990542 | + | 0.137212i | \(0.0438142\pi\) | |||||||
\(492\) | −32.3014 | + | 8.20688i | −1.45626 | + | 0.369995i | ||||
\(493\) | 5.37610 | − | 2.48725i | 0.242127 | − | 0.112020i | ||||
\(494\) | 2.70960 | − | 2.86049i | 0.121911 | − | 0.128699i | ||||
\(495\) | 5.07171 | − | 4.90257i | 0.227957 | − | 0.220354i | ||||
\(496\) | 3.67596 | − | 16.7001i | 0.165056 | − | 0.749855i | ||||
\(497\) | 2.18207 | − | 20.0638i | 0.0978792 | − | 0.899985i | ||||
\(498\) | 4.31396 | − | 6.07043i | 0.193313 | − | 0.272022i | ||||
\(499\) | 14.6875 | − | 3.23297i | 0.657505 | − | 0.144728i | 0.126328 | − | 0.991989i | \(-0.459681\pi\) |
0.531177 | + | 0.847261i | \(0.321750\pi\) | |||||||
\(500\) | 16.0093 | + | 13.5984i | 0.715957 | + | 0.608139i | ||||
\(501\) | −14.2259 | + | 29.0525i | −0.635567 | + | 1.29797i | ||||
\(502\) | −9.53143 | + | 2.64639i | −0.425409 | + | 0.118114i | ||||
\(503\) | 18.9608 | − | 22.3224i | 0.845420 | − | 0.995305i | −0.154553 | − | 0.987984i | \(-0.549394\pi\) |
0.999973 | − | 0.00732067i | \(-0.00233026\pi\) | |||||||
\(504\) | −2.44600 | − | 7.02361i | −0.108954 | − | 0.312857i | ||||
\(505\) | 1.43386 | + | 13.1841i | 0.0638059 | + | 0.586686i | ||||
\(506\) | 0.877909 | + | 0.0954783i | 0.0390278 | + | 0.00424453i | ||||
\(507\) | −7.80111 | + | 5.66362i | −0.346459 | + | 0.251530i | ||||
\(508\) | −10.9802 | + | 8.34697i | −0.487170 | + | 0.370337i | ||||
\(509\) | −16.4850 | − | 15.6154i | −0.730685 | − | 0.692142i | 0.228934 | − | 0.973442i | \(-0.426476\pi\) |
−0.959620 | + | 0.281300i | \(0.909234\pi\) | |||||||
\(510\) | 0.680289 | − | 2.25623i | 0.0301237 | − | 0.0999077i | ||||
\(511\) | −1.88067 | − | 1.27513i | −0.0831961 | − | 0.0564083i | ||||
\(512\) | 14.7251 | + | 17.3357i | 0.650762 | + | 0.766136i | ||||
\(513\) | −5.60033 | − | 17.2984i | −0.247261 | − | 0.763745i | ||||
\(514\) | 8.71852 | − | 1.42933i | 0.384558 | − | 0.0630450i | ||||
\(515\) | −3.58679 | − | 6.76540i | −0.158053 | − | 0.298119i | ||||
\(516\) | −30.5598 | − | 5.70365i | −1.34532 | − | 0.251089i | ||||
\(517\) | 10.3344 | + | 4.78120i | 0.454506 | + | 0.210277i | ||||
\(518\) | −4.94422 | + | 1.96996i | −0.217237 | + | 0.0865550i | ||||
\(519\) | 10.0406 | + | 7.98752i | 0.440734 | + | 0.350613i | ||||
\(520\) | 4.38291 | − | 8.26704i | 0.192203 | − | 0.362534i | ||||
\(521\) | 0.748485 | − | 2.22143i | 0.0327917 | − | 0.0973224i | −0.930007 | − | 0.367542i | \(-0.880200\pi\) |
0.962799 | + | 0.270219i | \(0.0870961\pi\) | |||||||
\(522\) | −1.24595 | + | 4.67048i | −0.0545339 | + | 0.204421i | ||||
\(523\) | −14.1354 | + | 13.3898i | −0.618099 | + | 0.585495i | −0.931327 | − | 0.364183i | \(-0.881348\pi\) |
0.313228 | + | 0.949678i | \(0.398590\pi\) | |||||||
\(524\) | −1.83644 | + | 11.2018i | −0.0802251 | + | 0.489351i | ||||
\(525\) | −0.308557 | + | 0.727417i | −0.0134665 | + | 0.0317471i | ||||
\(526\) | −5.35860 | − | 0.290535i | −0.233646 | − | 0.0126679i | ||||
\(527\) | 7.40071 | + | 4.45286i | 0.322380 | + | 0.193970i | ||||
\(528\) | −5.59329 | − | 0.733245i | −0.243416 | − | 0.0319104i | ||||
\(529\) | −5.11120 | + | 18.4089i | −0.222226 | + | 0.800386i | ||||
\(530\) | −2.12682 | −0.0923832 | ||||||||
\(531\) | −14.6745 | + | 17.7668i | −0.636820 | + | 0.771012i | ||||
\(532\) | −10.0353 | −0.435087 | ||||||||
\(533\) | 7.67202 | − | 27.6321i | 0.332312 | − | 1.19688i | ||||
\(534\) | −6.04816 | − | 0.792876i | −0.261730 | − | 0.0343111i | ||||
\(535\) | −24.7791 | − | 14.9091i | −1.07129 | − | 0.644575i | ||||
\(536\) | 12.8156 | + | 0.694843i | 0.553551 | + | 0.0300127i | ||||
\(537\) | 0.426258 | − | 1.00490i | 0.0183944 | − | 0.0433644i | ||||
\(538\) | −0.879141 | + | 5.36252i | −0.0379025 | + | 0.231195i | ||||
\(539\) | −3.57339 | + | 3.38489i | −0.153917 | + | 0.145798i | ||||
\(540\) | −11.3726 | − | 17.2104i | −0.489397 | − | 0.740620i | ||||
\(541\) | −0.291174 | + | 0.864173i | −0.0125185 | + | 0.0371537i | −0.953730 | − | 0.300663i | \(-0.902792\pi\) |
0.941212 | + | 0.337817i | \(0.109689\pi\) | |||||||
\(542\) | 3.48586 | − | 6.57503i | 0.149730 | − | 0.282422i | ||||
\(543\) | 4.73363 | + | 3.76571i | 0.203140 | + | 0.161602i | ||||
\(544\) | −6.21168 | + | 2.47496i | −0.266323 | + | 0.106113i | ||||
\(545\) | 30.3659 | + | 14.0487i | 1.30073 | + | 0.601782i | ||||
\(546\) | 3.00540 | + | 0.560924i | 0.128619 | + | 0.0240053i | ||||
\(547\) | 4.52758 | + | 8.53993i | 0.193585 | + | 0.365141i | 0.961236 | − | 0.275728i | \(-0.0889190\pi\) |
−0.767650 | + | 0.640869i | \(0.778574\pi\) | |||||||
\(548\) | 26.4664 | − | 4.33894i | 1.13059 | − | 0.185350i | ||||
\(549\) | 14.9926 | + | 8.81524i | 0.639870 | + | 0.376225i | ||||
\(550\) | −0.0843019 | − | 0.0992479i | −0.00359465 | − | 0.00423195i | ||||
\(551\) | 11.3002 | + | 7.66173i | 0.481405 | + | 0.326400i | ||||
\(552\) | 1.56053 | − | 5.17561i | 0.0664204 | − | 0.220289i | ||||
\(553\) | −4.27969 | − | 4.05394i | −0.181991 | − | 0.172391i | ||||
\(554\) | 8.60880 | − | 6.54424i | 0.365753 | − | 0.278038i | ||||
\(555\) | −25.0050 | + | 18.1537i | −1.06140 | + | 0.770582i | ||||
\(556\) | 6.59509 | + | 0.717259i | 0.279694 | + | 0.0304186i | ||||
\(557\) | 0.545900 | + | 5.01947i | 0.0231305 | + | 0.212682i | 0.999999 | − | 0.00115784i | \(-0.000368552\pi\) |
−0.976869 | + | 0.213840i | \(0.931403\pi\) | |||||||
\(558\) | −6.65600 | + | 2.31798i | −0.281771 | + | 0.0981278i | ||||
\(559\) | 17.3175 | − | 20.3877i | 0.732452 | − | 0.862309i | ||||
\(560\) | −9.85237 | + | 2.73550i | −0.416339 | + | 0.115596i | ||||
\(561\) | 1.25304 | − | 2.55899i | 0.0529034 | − | 0.108041i | ||||
\(562\) | −4.92702 | − | 4.18505i | −0.207834 | − | 0.176536i | ||||
\(563\) | −28.2135 | + | 6.21025i | −1.18906 | + | 0.261731i | −0.765075 | − | 0.643941i | \(-0.777298\pi\) |
−0.423980 | + | 0.905672i | \(0.639367\pi\) | |||||||
\(564\) | 19.2897 | − | 27.1437i | 0.812243 | − | 1.14296i | ||||
\(565\) | −4.69323 | + | 43.1536i | −0.197446 | + | 1.81548i | ||||
\(566\) | 0.103272 | − | 0.469169i | 0.00434084 | − | 0.0197206i | ||||
\(567\) | 8.91406 | − | 10.9358i | 0.374355 | − | 0.459259i | ||||
\(568\) | 14.0017 | − | 14.7814i | 0.587499 | − | 0.620215i | ||||
\(569\) | 39.2439 | − | 18.1562i | 1.64519 | − | 0.761146i | 0.645194 | − | 0.764019i | \(-0.276776\pi\) |
0.999996 | + | 0.00287274i | \(0.000914424\pi\) | |||||||
\(570\) | 5.26417 | − | 1.33748i | 0.220492 | − | 0.0560207i | ||||
\(571\) | 30.2389 | − | 25.6852i | 1.26546 | − | 1.07489i | 0.271813 | − | 0.962350i | \(-0.412377\pi\) |
0.993647 | − | 0.112542i | \(-0.0358992\pi\) | |||||||
\(572\) | 3.27087 | − | 4.30276i | 0.136762 | − | 0.179907i | ||||
\(573\) | −4.55075 | − | 2.87643i | −0.190110 | − | 0.120165i | ||||
\(574\) | 6.01581 | − | 3.18938i | 0.251095 | − | 0.133122i | ||||
\(575\) | −0.492106 | + | 0.296091i | −0.0205223 | + | 0.0123478i | ||||
\(576\) | −3.89541 | + | 11.9601i | −0.162309 | + | 0.498336i | ||||
\(577\) | 6.26310 | + | 15.7192i | 0.260736 | + | 0.654398i | 0.999815 | − | 0.0192204i | \(-0.00611841\pi\) |
−0.739079 | + | 0.673619i | \(0.764739\pi\) | |||||||
\(578\) | 0.328548 | + | 6.05971i | 0.0136658 | + | 0.252051i | ||||
\(579\) | −4.79933 | − | 12.8620i | −0.199453 | − | 0.534528i | ||||
\(580\) | 14.6786 | + | 4.94579i | 0.609495 | + | 0.205363i | ||||
\(581\) | 6.04109 | − | 15.1620i | 0.250627 | − | 0.629025i | ||||
\(582\) | −0.765643 | + | 0.0246207i | −0.0317369 | + | 0.00102056i | ||||
\(583\) | −2.53766 | − | 0.416027i | −0.105099 | − | 0.0172301i | ||||
\(584\) | −0.731919 | − | 2.17226i | −0.0302870 | − | 0.0898887i | ||||
\(585\) | 17.7135 | − | 1.14040i | 0.732363 | − | 0.0471497i | ||||
\(586\) | 1.22208 | − | 2.03111i | 0.0504836 | − | 0.0839044i | ||||
\(587\) | 5.99864 | + | 8.84733i | 0.247590 | + | 0.365168i | 0.931094 | − | 0.364778i | \(-0.118855\pi\) |
−0.683504 | + | 0.729947i | \(0.739545\pi\) | |||||||
\(588\) | 7.81351 | + | 12.0888i | 0.322224 | + | 0.498534i | ||||
\(589\) | 19.9067i | 0.820242i | ||||||||
\(590\) | −5.01466 | − | 4.71547i | −0.206450 | − | 0.194133i | ||||
\(591\) | −28.2385 | − | 25.0770i | −1.16158 | − | 1.03153i | ||||
\(592\) | 23.8106 | + | 6.61098i | 0.978609 | + | 0.271710i | ||||
\(593\) | −19.0798 | + | 12.9364i | −0.783512 | + | 0.531234i | −0.886102 | − | 0.463490i | \(-0.846597\pi\) |
0.102591 | + | 0.994724i | \(0.467287\pi\) | |||||||
\(594\) | 0.951125 | + | 2.12168i | 0.0390251 | + | 0.0870537i | ||||
\(595\) | 0.279607 | − | 5.15705i | 0.0114628 | − | 0.211419i | ||||
\(596\) | −31.2934 | + | 10.5440i | −1.28183 | + | 0.431898i | ||||
\(597\) | −11.4413 | − | 14.0870i | −0.468262 | − | 0.576541i | ||||
\(598\) | 1.52818 | + | 1.61328i | 0.0624920 | + | 0.0659720i | ||||
\(599\) | −9.78357 | − | 3.89813i | −0.399746 | − | 0.159273i | 0.161597 | − | 0.986857i | \(-0.448336\pi\) |
−0.561342 | + | 0.827584i | \(0.689715\pi\) | |||||||
\(600\) | −0.691907 | + | 0.395824i | −0.0282470 | + | 0.0161594i | ||||
\(601\) | 3.93239 | + | 2.08482i | 0.160405 | + | 0.0850415i | 0.546677 | − | 0.837343i | \(-0.315892\pi\) |
−0.386272 | + | 0.922385i | \(0.626237\pi\) | |||||||
\(602\) | 6.34200 | − | 0.343853i | 0.258481 | − | 0.0140144i | ||||
\(603\) | 11.6215 | + | 21.3941i | 0.473264 | + | 0.871236i | ||||
\(604\) | 3.87538 | − | 8.37649i | 0.157687 | − | 0.340835i | ||||
\(605\) | −10.9929 | − | 18.2703i | −0.446925 | − | 0.742795i | ||||
\(606\) | −4.24747 | − | 1.03349i | −0.172542 | − | 0.0419828i | ||||
\(607\) | −1.82527 | − | 11.1337i | −0.0740856 | − | 0.451902i | −0.997653 | − | 0.0684670i | \(-0.978189\pi\) |
0.923568 | − | 0.383435i | \(-0.125259\pi\) | |||||||
\(608\) | −12.2688 | − | 9.32650i | −0.497566 | − | 0.378240i | ||||
\(609\) | −0.233252 | + | 10.5912i | −0.00945185 | + | 0.429177i | ||||
\(610\) | −2.91557 | + | 4.30014i | −0.118048 | + | 0.174108i | ||||
\(611\) | 12.0312 | + | 26.0051i | 0.486732 | + | 1.05205i | ||||
\(612\) | −6.68421 | − | 4.97522i | −0.270193 | − | 0.201111i | ||||
\(613\) | 0.0210871 | + | 0.0277396i | 0.000851700 | + | 0.00112039i | 0.796519 | − | 0.604614i | \(-0.206673\pi\) |
−0.795667 | + | 0.605734i | \(0.792879\pi\) | |||||||
\(614\) | −11.6199 | − | 2.55772i | −0.468939 | − | 0.103221i | ||||
\(615\) | 29.2916 | − | 26.5475i | 1.18115 | − | 1.07050i | ||||
\(616\) | 2.67047 | − | 0.290431i | 0.107596 | − | 0.0117018i | ||||
\(617\) | −0.166856 | − | 0.758036i | −0.00671739 | − | 0.0305174i | 0.973143 | − | 0.230203i | \(-0.0739390\pi\) |
−0.979860 | + | 0.199686i | \(0.936008\pi\) | |||||||
\(618\) | 2.49918 | − | 0.353404i | 0.100532 | − | 0.0142160i | ||||
\(619\) | 2.36667 | + | 8.52398i | 0.0951246 | + | 0.342608i | 0.995762 | − | 0.0919626i | \(-0.0293140\pi\) |
−0.900638 | + | 0.434570i | \(0.856900\pi\) | |||||||
\(620\) | 6.04206 | + | 21.7615i | 0.242655 | + | 0.873965i | ||||
\(621\) | 9.91281 | − | 2.62570i | 0.397787 | − | 0.105366i | ||||
\(622\) | 1.37543 | + | 6.24866i | 0.0551499 | + | 0.250548i | ||||
\(623\) | −13.2902 | + | 1.44539i | −0.532460 | + | 0.0579085i | ||||
\(624\) | −9.53274 | − | 10.5181i | −0.381615 | − | 0.421060i | ||||
\(625\) | −22.9118 | − | 5.04326i | −0.916471 | − | 0.201730i | ||||
\(626\) | −6.51258 | − | 8.56715i | −0.260295 | − | 0.342412i | ||||
\(627\) | 6.54266 | − | 0.566111i | 0.261289 | − | 0.0226083i | ||||
\(628\) | −15.9783 | − | 34.5366i | −0.637605 | − | 1.37816i | ||||
\(629\) | −7.00448 | + | 10.3308i | −0.279287 | + | 0.411918i | ||||
\(630\) | 3.08889 | + | 2.86717i | 0.123064 | + | 0.114231i | ||||
\(631\) | 2.58842 | + | 1.96766i | 0.103043 | + | 0.0783314i | 0.655427 | − | 0.755258i | \(-0.272489\pi\) |
−0.552384 | + | 0.833590i | \(0.686282\pi\) | |||||||
\(632\) | −0.962110 | − | 5.86861i | −0.0382707 | − | 0.233441i | ||||
\(633\) | −7.87496 | + | 32.3647i | −0.313002 | + | 1.28638i | ||||
\(634\) | −2.78011 | − | 4.62058i | −0.110412 | − | 0.183507i | ||||
\(635\) | 6.86950 | − | 14.8482i | 0.272608 | − | 0.589232i | ||||
\(636\) | −2.55755 | + | 7.07196i | −0.101413 | + | 0.280421i | ||||
\(637\) | −12.3675 | + | 0.670547i | −0.490018 | + | 0.0265680i | ||||
\(638\) | −1.54250 | − | 0.817782i | −0.0610681 | − | 0.0323763i | ||||
\(639\) | 37.8023 | + | 7.92046i | 1.49544 | + | 0.313328i | ||||
\(640\) | −21.2475 | − | 8.46577i | −0.839880 | − | 0.334639i | ||||
\(641\) | −1.04891 | − | 1.10732i | −0.0414293 | − | 0.0437364i | 0.704951 | − | 0.709256i | \(-0.250969\pi\) |
−0.746381 | + | 0.665519i | \(0.768210\pi\) | |||||||
\(642\) | 7.39918 | − | 6.00955i | 0.292022 | − | 0.237178i | ||||
\(643\) | −16.6768 | + | 5.61906i | −0.657668 | + | 0.221594i | −0.628296 | − | 0.777975i | \(-0.716247\pi\) |
−0.0293718 | + | 0.999569i | \(0.509351\pi\) | |||||||
\(644\) | 0.306416 | − | 5.65151i | 0.0120745 | − | 0.222701i | ||||
\(645\) | 35.1952 | − | 11.0019i | 1.38581 | − | 0.433199i | ||||
\(646\) | 1.81590 | − | 1.23121i | 0.0714455 | − | 0.0484412i | ||||
\(647\) | −6.32878 | − | 1.75718i | −0.248810 | − | 0.0690818i | 0.140884 | − | 0.990026i | \(-0.455005\pi\) |
−0.389694 | + | 0.920944i | \(0.627419\pi\) | |||||||
\(648\) | 13.8355 | − | 3.34056i | 0.543510 | − | 0.131229i | ||||
\(649\) | −5.06095 | − | 6.60727i | −0.198660 | − | 0.259358i | ||||
\(650\) | − | 0.327678i | − | 0.0128526i | ||||||
\(651\) | −12.9727 | + | 8.38479i | −0.508439 | + | 0.328626i | ||||
\(652\) | 17.1282 | + | 25.2622i | 0.670793 | + | 0.989346i | ||||
\(653\) | −11.5212 | + | 19.1483i | −0.450858 | + | 0.749332i | −0.996032 | − | 0.0889907i | \(-0.971636\pi\) |
0.545174 | + | 0.838323i | \(0.316463\pi\) | |||||||
\(654\) | −7.75879 | + | 7.83776i | −0.303393 | + | 0.306481i | ||||
\(655\) | −4.29921 | − | 12.7596i | −0.167984 | − | 0.498559i | ||||
\(656\) | −31.1979 | − | 5.11464i | −1.21807 | − | 0.199693i | ||||
\(657\) | 2.78138 | − | 3.34250i | 0.108512 | − | 0.130403i | ||||
\(658\) | −2.51815 | + | 6.32008i | −0.0981678 | + | 0.246382i | ||||
\(659\) | 4.54713 | + | 1.53211i | 0.177131 | + | 0.0596824i | 0.406469 | − | 0.913664i | \(-0.366760\pi\) |
−0.229339 | + | 0.973347i | \(0.573656\pi\) | |||||||
\(660\) | 6.98046 | − | 2.60468i | 0.271714 | − | 0.101387i | ||||
\(661\) | 0.399892 | + | 7.37557i | 0.0155540 | + | 0.286877i | 0.995954 | + | 0.0898608i | \(0.0286422\pi\) |
−0.980400 | + | 0.197016i | \(0.936875\pi\) | |||||||
\(662\) | 5.14731 | + | 12.9188i | 0.200056 | + | 0.502102i | ||||
\(663\) | 6.57194 | − | 2.86656i | 0.255233 | − | 0.111328i | ||||
\(664\) | 14.1083 | − | 8.48871i | 0.547510 | − | 0.329426i | ||||
\(665\) | 10.5169 | − | 5.57568i | 0.407826 | − | 0.216216i | ||||
\(666\) | −2.82409 | − | 9.78595i | −0.109431 | − | 0.379198i | ||||
\(667\) | −4.65982 | + | 6.12989i | −0.180429 | + | 0.237350i | ||||
\(668\) | −26.0413 | + | 22.1197i | −1.00757 | + | 0.855836i | ||||
\(669\) | 6.34280 | + | 24.9646i | 0.245227 | + | 0.965187i | ||||
\(670\) | −6.60065 | + | 3.05379i | −0.255005 | + | 0.117978i | ||||
\(671\) | −4.31991 | + | 4.56048i | −0.166768 | + | 0.176055i | ||||
\(672\) | 0.910163 | − | 11.9236i | 0.0351103 | − | 0.459964i | ||||
\(673\) | 5.96017 | − | 27.0773i | 0.229748 | − | 1.04375i | −0.710615 | − | 0.703581i | \(-0.751583\pi\) |
0.940363 | − | 0.340174i | \(-0.110486\pi\) | |||||||
\(674\) | −0.174366 | + | 1.60327i | −0.00671633 | + | 0.0617556i | ||||
\(675\) | −1.32748 | − | 0.724140i | −0.0510947 | − | 0.0278722i | ||||
\(676\) | −9.94430 | + | 2.18891i | −0.382473 | + | 0.0841887i | ||||
\(677\) | 24.7714 | + | 21.0410i | 0.952041 | + | 0.808671i | 0.981611 | − | 0.190892i | \(-0.0611380\pi\) |
−0.0295703 | + | 0.999563i | \(0.509414\pi\) | |||||||
\(678\) | −12.8504 | − | 6.29233i | −0.493516 | − | 0.241656i | ||||
\(679\) | −1.61765 | + | 0.449139i | −0.0620799 | + | 0.0172364i | ||||
\(680\) | 3.37302 | − | 3.97102i | 0.129349 | − | 0.152282i | ||||
\(681\) | −0.108877 | + | 0.194872i | −0.00417219 | + | 0.00746751i | ||||
\(682\) | −0.275230 | − | 2.53069i | −0.0105391 | − | 0.0969053i | ||||
\(683\) | −23.4849 | − | 2.55414i | −0.898625 | − | 0.0977314i | −0.352866 | − | 0.935674i | \(-0.614793\pi\) |
−0.545759 | + | 0.837942i | \(0.683758\pi\) | |||||||
\(684\) | 1.88298 | − | 19.1124i | 0.0719976 | − | 0.730780i | ||||
\(685\) | −25.3256 | + | 19.2520i | −0.967641 | + | 0.735582i | ||||
\(686\) | −5.42495 | − | 5.13879i | −0.207126 | − | 0.196200i | ||||
\(687\) | −16.9434 | − | 5.10869i | −0.646431 | − | 0.194909i | ||||
\(688\) | −24.4081 | − | 16.5491i | −0.930550 | − | 0.630928i | ||||
\(689\) | −4.18918 | − | 4.93188i | −0.159595 | − | 0.187890i | ||||
\(690\) | 0.592480 | + | 3.00541i | 0.0225553 | + | 0.114414i | ||||
\(691\) | −20.5893 | + | 3.37544i | −0.783252 | + | 0.128408i | −0.540123 | − | 0.841586i | \(-0.681622\pi\) |
−0.243129 | + | 0.969994i | \(0.578174\pi\) | |||||||
\(692\) | 6.34775 | + | 11.9731i | 0.241305 | + | 0.455150i | ||||
\(693\) | 3.12472 | + | 4.02523i | 0.118698 | + | 0.152906i | ||||
\(694\) | 3.28371 | + | 1.51921i | 0.124648 | + | 0.0576683i | ||||
\(695\) | −7.31006 | + | 2.91259i | −0.277286 | + | 0.110481i | ||||
\(696\) | −6.65341 | + | 8.36359i | −0.252197 | + | 0.317021i | ||||
\(697\) | 7.47967 | − | 14.1081i | 0.283313 | − | 0.534384i | ||||
\(698\) | −3.54323 | + | 10.5159i | −0.134113 | + | 0.398034i | ||||
\(699\) | −16.1996 | − | 32.2522i | −0.612725 | − | 1.21989i | ||||
\(700\) | −0.605908 | + | 0.573947i | −0.0229012 | + | 0.0216932i | ||||
\(701\) | −8.52790 | + | 52.0179i | −0.322094 | + | 1.96469i | −0.0670953 | + | 0.997747i | \(0.521373\pi\) |
−0.254999 | + | 0.966941i | \(0.582075\pi\) | |||||||
\(702\) | −1.63221 | + | 5.61857i | −0.0616036 | + | 0.212059i | ||||
\(703\) | −28.7254 | − | 1.55744i | −1.08340 | − | 0.0587401i | ||||
\(704\) | −3.89277 | − | 2.34220i | −0.146714 | − | 0.0882750i | ||||
\(705\) | −5.13410 | + | 39.1636i | −0.193362 | + | 1.47499i | ||||
\(706\) | −1.62365 | + | 5.84785i | −0.0611068 | + | 0.220087i | ||||
\(707\) | −9.58034 | −0.360306 | ||||||||
\(708\) | −21.7098 | + | 11.0040i | −0.815904 | + | 0.413555i | ||||
\(709\) | 16.9710 | 0.637358 | 0.318679 | − | 0.947863i | \(-0.396761\pi\) | ||||
0.318679 | + | 0.947863i | \(0.396761\pi\) | |||||||
\(710\) | −3.08659 | + | 11.1169i | −0.115838 | + | 0.417210i | ||||
\(711\) | 8.52380 | − | 7.39006i | 0.319667 | − | 0.277149i | ||||
\(712\) | −11.5560 | − | 6.95303i | −0.433080 | − | 0.260576i | ||||
\(713\) | −11.2107 | − | 0.607826i | −0.419843 | − | 0.0227632i | ||||
\(714\) | 1.56721 | + | 0.664781i | 0.0586513 | + | 0.0248788i | ||||
\(715\) | −1.03718 | + | 6.32654i | −0.0387885 | + | 0.236599i | ||||
\(716\) | 0.837036 | − | 0.792883i | 0.0312815 | − | 0.0296314i | ||||
\(717\) | −11.6508 | + | 5.85193i | −0.435105 | + | 0.218544i | ||||
\(718\) | −3.68426 | + | 10.9345i | −0.137495 | + | 0.408072i | ||||
\(719\) | −13.7868 | + | 26.0047i | −0.514161 | + | 0.969811i | 0.481472 | + | 0.876461i | \(0.340102\pi\) |
−0.995633 | + | 0.0933495i | \(0.970243\pi\) | |||||||
\(720\) | −3.36113 | − | 19.2772i | −0.125262 | − | 0.718420i | ||||
\(721\) | 5.13881 | − | 2.04749i | 0.191379 | − | 0.0762525i | ||||
\(722\) | −2.53200 | − | 1.17143i | −0.0942312 | − | 0.0435960i | ||||
\(723\) | 1.36958 | − | 7.33812i | 0.0509351 | − | 0.272908i | ||||
\(724\) | 2.99264 | + | 5.64471i | 0.111220 | + | 0.209784i | ||||
\(725\) | 1.12047 | − | 0.183692i | 0.0416133 | − | 0.00682216i | ||||
\(726\) | 6.89565 | − | 1.35939i | 0.255921 | − | 0.0504518i | ||||
\(727\) | −21.2601 | − | 25.0293i | −0.788493 | − | 0.928286i | 0.210288 | − | 0.977639i | \(-0.432560\pi\) |
−0.998781 | + | 0.0493533i | \(0.984284\pi\) | |||||||
\(728\) | 5.59476 | + | 3.79334i | 0.207355 | + | 0.140591i | ||||
\(729\) | 19.1547 | + | 19.0289i | 0.709433 | + | 0.704773i | ||||
\(730\) | 0.943024 | + | 0.893280i | 0.0349029 | + | 0.0330618i | ||||
\(731\) | 11.8578 | − | 9.01404i | 0.438575 | − | 0.333396i | ||||
\(732\) | 10.7925 | + | 14.8657i | 0.398902 | + | 0.549450i | ||||
\(733\) | −33.8445 | − | 3.68081i | −1.25007 | − | 0.135954i | −0.540961 | − | 0.841048i | \(-0.681939\pi\) |
−0.709114 | + | 0.705094i | \(0.750905\pi\) | |||||||
\(734\) | 0.316676 | + | 2.91179i | 0.0116887 | + | 0.107476i | ||||
\(735\) | −14.9050 | − | 8.32764i | −0.549780 | − | 0.307170i | ||||
\(736\) | 5.62694 | − | 6.62454i | 0.207412 | − | 0.244184i | ||||
\(737\) | −8.47304 | + | 2.35253i | −0.312108 | + | 0.0866565i | ||||
\(738\) | 4.94543 | + | 12.0556i | 0.182044 | + | 0.443774i | ||||
\(739\) | −2.05956 | − | 1.74941i | −0.0757622 | − | 0.0643530i | 0.608705 | − | 0.793397i | \(-0.291689\pi\) |
−0.684467 | + | 0.729044i | \(0.739965\pi\) | |||||||
\(740\) | −31.8746 | + | 7.01613i | −1.17173 | + | 0.257918i | ||||
\(741\) | 13.4703 | + | 9.57266i | 0.494842 | + | 0.351660i | ||||
\(742\) | 0.166115 | − | 1.52740i | 0.00609828 | − | 0.0560728i | ||||
\(743\) | 10.0133 | − | 45.4907i | 0.367351 | − | 1.66889i | −0.323758 | − | 0.946140i | \(-0.604946\pi\) |
0.691108 | − | 0.722751i | \(-0.257123\pi\) | |||||||
\(744\) | −15.5376 | − | 1.18603i | −0.569638 | − | 0.0434820i | ||||
\(745\) | 26.9367 | − | 28.4367i | 0.986883 | − | 1.04184i | ||||
\(746\) | −8.44834 | + | 3.90862i | −0.309316 | + | 0.143105i | ||||
\(747\) | 27.7427 | + | 14.3502i | 1.01505 | + | 0.525048i | ||||
\(748\) | 2.29376 | − | 1.94834i | 0.0838682 | − | 0.0712383i | ||||
\(749\) | 12.6425 | − | 16.6309i | 0.461947 | − | 0.607681i | ||||
\(750\) | 4.38797 | − | 6.94212i | 0.160226 | − | 0.253490i | ||||
\(751\) | 35.3849 | − | 18.7599i | 1.29121 | − | 0.684558i | 0.325839 | − | 0.945425i | \(-0.394353\pi\) |
0.965375 | + | 0.260867i | \(0.0840085\pi\) | |||||||
\(752\) | 27.0663 | − | 16.2853i | 0.987008 | − | 0.593863i | ||||
\(753\) | −16.5872 | − | 38.0282i | −0.604471 | − | 1.38582i | ||||
\(754\) | −1.62611 | − | 4.08123i | −0.0592195 | − | 0.148630i | ||||
\(755\) | 0.592695 | + | 10.9316i | 0.0215704 | + | 0.397842i | ||||
\(756\) | 13.2482 | − | 6.82313i | 0.481831 | − | 0.248155i | ||||
\(757\) | 2.47658 | + | 0.834457i | 0.0900128 | + | 0.0303289i | 0.363948 | − | 0.931419i | \(-0.381429\pi\) |
−0.273935 | + | 0.961748i | \(0.588325\pi\) | |||||||
\(758\) | −3.89821 | + | 9.78377i | −0.141589 | + | 0.355363i | ||||
\(759\) | 0.119040 | + | 3.70186i | 0.00432088 | + | 0.134369i | ||||
\(760\) | 11.8503 | + | 1.94276i | 0.429856 | + | 0.0704714i | ||||
\(761\) | −15.8667 | − | 47.0908i | −0.575168 | − | 1.70704i | −0.699350 | − | 0.714779i | \(-0.746527\pi\) |
0.124182 | − | 0.992259i | \(-0.460369\pi\) | |||||||
\(762\) | 3.83247 | + | 3.79386i | 0.138836 | + | 0.137437i | ||||
\(763\) | −12.4610 | + | 20.7104i | −0.451119 | + | 0.749766i | ||||
\(764\) | −3.19111 | − | 4.70653i | −0.115450 | − | 0.170276i | ||||
\(765\) | 9.76920 | + | 1.50016i | 0.353206 | + | 0.0542384i | ||||
\(766\) | 13.4989i | 0.487736i | ||||||||
\(767\) | 1.05736 | − | 20.9165i | 0.0381790 | − | 0.755252i | ||||
\(768\) | −4.63830 | + | 5.22305i | −0.167370 | + | 0.188471i | ||||
\(769\) | 15.4160 | + | 4.28024i | 0.555916 | + | 0.154349i | 0.534113 | − | 0.845413i | \(-0.320646\pi\) |
0.0218029 | + | 0.999762i | \(0.493059\pi\) | |||||||
\(770\) | −1.25990 | + | 0.854230i | −0.0454035 | + | 0.0307843i | ||||
\(771\) | 11.0556 | + | 35.3670i | 0.398158 | + | 1.27371i | ||||
\(772\) | 0.785031 | − | 14.4790i | 0.0282539 | − | 0.521112i | ||||
\(773\) | −22.3545 | + | 7.53211i | −0.804036 | + | 0.270911i | −0.691164 | − | 0.722698i | \(-0.742902\pi\) |
−0.112872 | + | 0.993610i | \(0.536005\pi\) | |||||||
\(774\) | −0.535111 | + | 12.1429i | −0.0192342 | + | 0.436468i | ||||
\(775\) | 1.13852 | + | 1.20192i | 0.0408967 | + | 0.0431742i | ||||
\(776\) | −1.57337 | − | 0.626890i | −0.0564809 | − | 0.0225040i | ||||
\(777\) | −11.0843 | − | 19.3756i | −0.397647 | − | 0.695095i | ||||
\(778\) | 0.525113 | + | 0.278397i | 0.0188262 | + | 0.00998103i | ||||
\(779\) | 36.7498 | − | 1.99251i | 1.31670 | − | 0.0713892i | ||||
\(780\) | 17.6308 | + | 6.37613i | 0.631286 | + | 0.228302i | ||||
\(781\) | −5.85740 | + | 12.6606i | −0.209594 | + | 0.453031i | ||||
\(782\) | 0.637922 | + | 1.06024i | 0.0228121 | + | 0.0379139i | ||||
\(783\) | −20.1273 | − | 2.43151i | −0.719290 | − | 0.0868952i | ||||
\(784\) | 2.20899 | + | 13.4743i | 0.0788927 | + | 0.481224i | ||||
\(785\) | 35.9338 | + | 27.3161i | 1.28253 | + | 0.974955i | ||||
\(786\) | 4.43709 | + | 0.0977189i | 0.158266 | + | 0.00348552i | ||||
\(787\) | 9.70981 | − | 14.3209i | 0.346117 | − | 0.510485i | −0.614292 | − | 0.789079i | \(-0.710558\pi\) |
0.960409 | + | 0.278594i | \(0.0898685\pi\) | |||||||
\(788\) | −16.7493 | − | 36.2030i | −0.596669 | − | 1.28968i | ||||
\(789\) | −1.94025 | − | 22.4239i | −0.0690747 | − | 0.798310i | ||||
\(790\) | 2.03940 | + | 2.68278i | 0.0725585 | + | 0.0954491i | ||||
\(791\) | −30.6247 | − | 6.74101i | −1.08889 | − | 0.239683i | ||||
\(792\) | 0.0520544 | + | 5.14043i | 0.00184967 | + | 0.182657i | ||||
\(793\) | −15.7144 | + | 1.70904i | −0.558033 | + | 0.0606898i | ||||
\(794\) | −1.22474 | − | 5.56405i | −0.0434644 | − | 0.197461i | ||||
\(795\) | −1.24895 | − | 8.83228i | −0.0442959 | − | 0.313249i | ||||
\(796\) | −5.12811 | − | 18.4698i | −0.181761 | − | 0.654644i | ||||
\(797\) | 4.85222 | + | 17.4761i | 0.171875 | + | 0.619036i | 0.998421 | + | 0.0561682i | \(0.0178883\pi\) |
−0.826547 | + | 0.562868i | \(0.809698\pi\) | |||||||
\(798\) | 0.549369 | + | 3.88499i | 0.0194474 | + | 0.137527i | ||||
\(799\) | 3.42983 | + | 15.5819i | 0.121339 | + | 0.551247i | ||||
\(800\) | −1.27417 | + | 0.138574i | −0.0450486 | + | 0.00489933i | ||||
\(801\) | −0.259061 | − | 25.5825i | −0.00915345 | − | 0.903913i | ||||
\(802\) | 8.41870 | + | 1.85310i | 0.297275 | + | 0.0654351i | ||||
\(803\) | 0.950452 | + | 1.25030i | 0.0335407 | + | 0.0441221i | ||||
\(804\) | 2.21682 | + | 25.6203i | 0.0781813 | + | 0.903558i | ||||
\(805\) | 2.81889 | + | 6.09293i | 0.0993528 | + | 0.214748i | ||||
\(806\) | 3.59480 | − | 5.30193i | 0.126621 | − | 0.186752i | ||||
\(807\) | −22.7858 | − | 0.501816i | −0.802099 | − | 0.0176648i | ||||
\(808\) | −7.69415 | − | 5.84894i | −0.270679 | − | 0.205765i | ||||
\(809\) | −7.00865 | − | 42.7509i | −0.246411 | − | 1.50304i | −0.762771 | − | 0.646669i | \(-0.776162\pi\) |
0.516360 | − | 0.856372i | \(-0.327287\pi\) | |||||||
\(810\) | −6.04014 | + | 5.34484i | −0.212229 | + | 0.187798i | ||||
\(811\) | 20.3316 | + | 33.7913i | 0.713938 | + | 1.18657i | 0.975204 | + | 0.221307i | \(0.0710323\pi\) |
−0.261266 | + | 0.965267i | \(0.584140\pi\) | |||||||
\(812\) | −4.69836 | + | 10.1553i | −0.164880 | + | 0.356382i | ||||
\(813\) | 29.3519 | + | 10.6150i | 1.02942 | + | 0.372284i | ||||
\(814\) | 3.67332 | − | 0.199162i | 0.128750 | − | 0.00698062i | ||||
\(815\) | −31.9859 | − | 16.9579i | −1.12042 | − | 0.594009i | ||||
\(816\) | −3.92493 | − | 6.86086i | −0.137400 | − | 0.240178i | ||||
\(817\) | 31.8918 | + | 12.7068i | 1.11575 | + | 0.444556i | ||||
\(818\) | −6.57031 | − | 6.93619i | −0.229725 | − | 0.242518i | ||||
\(819\) | −0.564519 | + | 12.8103i | −0.0197259 | + | 0.447627i | ||||
\(820\) | 39.5692 | − | 13.3324i | 1.38182 | − | 0.465588i | ||||
\(821\) | −0.0849464 | + | 1.56674i | −0.00296465 | + | 0.0546798i | −0.999641 | − | 0.0267787i | \(-0.991475\pi\) |
0.996677 | + | 0.0814585i | \(0.0259578\pi\) | |||||||
\(822\) | −3.12861 | − | 10.0084i | −0.109123 | − | 0.349085i | ||||
\(823\) | −5.35287 | + | 3.62933i | −0.186589 | + | 0.126511i | −0.650905 | − | 0.759159i | \(-0.725611\pi\) |
0.464316 | + | 0.885670i | \(0.346300\pi\) | |||||||
\(824\) | 5.37710 | + | 1.49294i | 0.187320 | + | 0.0520092i | ||||
\(825\) | 0.362652 | − | 0.408372i | 0.0126259 | − | 0.0142177i | ||||
\(826\) | 3.77815 | − | 3.23305i | 0.131459 | − | 0.112492i | ||||
\(827\) | 0.240309i | 0.00835638i | 0.999991 | + | 0.00417819i | \(0.00132996\pi\) | ||||
−0.999991 | + | 0.00417819i | \(0.998670\pi\) | |||||||
\(828\) | 10.7059 | + | 1.64399i | 0.372054 | + | 0.0571328i | ||||
\(829\) | 25.3197 | + | 37.3437i | 0.879388 | + | 1.29700i | 0.954006 | + | 0.299788i | \(0.0969161\pi\) |
−0.0746175 | + | 0.997212i | \(0.523774\pi\) | |||||||
\(830\) | −4.81026 | + | 7.99471i | −0.166966 | + | 0.277500i | ||||
\(831\) | 32.2324 | + | 31.9077i | 1.11813 | + | 1.10687i | ||||
\(832\) | −3.65027 | − | 10.8336i | −0.126550 | − | 0.375588i | ||||
\(833\) | −6.80578 | − | 1.11575i | −0.235806 | − | 0.0386585i | ||||
\(834\) | −0.0833645 | − | 2.59243i | −0.00288668 | − | 0.0897687i | ||||
\(835\) | 15.0010 | − | 37.6498i | 0.519132 | − | 1.30292i | ||||
\(836\) | 6.57332 | + | 2.21481i | 0.227343 | + | 0.0766008i | ||||
\(837\) | −13.5348 | − | 26.2799i | −0.467831 | − | 0.908366i | ||||
\(838\) | −0.408804 | − | 7.53995i | −0.0141219 | − | 0.260463i | ||||
\(839\) | −3.74413 | − | 9.39705i | −0.129262 | − | 0.324422i | 0.850074 | − | 0.526663i | \(-0.176557\pi\) |
−0.979336 | + | 0.202241i | \(0.935178\pi\) | |||||||
\(840\) | 3.72536 | + | 8.54085i | 0.128537 | + | 0.294687i | ||||
\(841\) | −11.8050 | + | 7.10281i | −0.407068 | + | 0.244924i | ||||
\(842\) | 6.93829 | − | 3.67845i | 0.239109 | − | 0.126768i | ||||
\(843\) | 14.4864 | − | 22.9186i | 0.498937 | − | 0.789359i | ||||
\(844\) | −21.2914 | + | 28.0083i | −0.732879 | + | 0.964085i | ||||
\(845\) | 9.20529 | − | 7.81904i | 0.316672 | − | 0.268983i | ||||
\(846\) | −11.5642 | − | 5.98172i | −0.397584 | − | 0.205656i | ||||
\(847\) | 13.9797 | − | 6.46769i | 0.480348 | − | 0.222232i | ||||
\(848\) | −4.90579 | + | 5.17898i | −0.168466 | + | 0.177847i | ||||
\(849\) | 2.00902 | + | 0.153354i | 0.0689492 | + | 0.00526309i | ||||
\(850\) | 0.0392233 | − | 0.178193i | 0.00134535 | − | 0.00611198i | ||||
\(851\) | 1.75418 | − | 16.1295i | 0.0601327 | − | 0.552911i | ||||
\(852\) | 33.2535 | + | 23.6316i | 1.13924 | + | 0.809606i | ||||
\(853\) | 9.01698 | − | 1.98479i | 0.308735 | − | 0.0679578i | −0.0579003 | − | 0.998322i | \(-0.518441\pi\) |
0.366636 | + | 0.930365i | \(0.380510\pi\) | |||||||
\(854\) | −2.86048 | − | 2.42972i | −0.0978837 | − | 0.0831432i | ||||
\(855\) | 8.64562 | + | 21.0757i | 0.295674 | + | 0.720772i | ||||
\(856\) | 20.3069 | − | 5.63818i | 0.694075 | − | 0.192709i | ||||
\(857\) | 6.57202 | − | 7.73717i | 0.224496 | − | 0.264297i | −0.638370 | − | 0.769729i | \(-0.720391\pi\) |
0.862866 | + | 0.505432i | \(0.168667\pi\) | |||||||
\(858\) | −1.84479 | − | 1.03071i | −0.0629802 | − | 0.0351879i | ||||
\(859\) | 3.44537 | + | 31.6796i | 0.117554 | + | 1.08089i | 0.893179 | + | 0.449701i | \(0.148469\pi\) |
−0.775625 | + | 0.631194i | \(0.782565\pi\) | |||||||
\(860\) | 38.7201 | + | 4.21106i | 1.32034 | + | 0.143596i | ||||
\(861\) | 16.7776 | + | 23.1096i | 0.571780 | + | 0.787573i | ||||
\(862\) | 6.69437 | − | 5.08893i | 0.228011 | − | 0.173330i | ||||
\(863\) | 22.4855 | + | 21.2994i | 0.765415 | + | 0.725040i | 0.967096 | − | 0.254411i | \(-0.0818818\pi\) |
−0.201681 | + | 0.979451i | \(0.564640\pi\) | |||||||
\(864\) | 22.5379 | + | 3.97071i | 0.766755 | + | 0.135086i | ||||
\(865\) | −13.3047 | − | 9.02079i | −0.452372 | − | 0.306716i | ||||
\(866\) | 1.94743 | + | 2.29270i | 0.0661765 | + | 0.0779090i | ||||
\(867\) | −24.9719 | + | 4.92290i | −0.848089 | + | 0.167190i | ||||
\(868\) | −16.1003 | + | 2.63950i | −0.546478 | + | 0.0895906i | ||||
\(869\) | 1.90857 | + | 3.59994i | 0.0647437 | + | 0.122119i | ||||
\(870\) | 1.11112 | − | 5.95330i | 0.0376704 | − | 0.201836i | ||||
\(871\) | −20.0827 | − | 9.29123i | −0.680475 | − | 0.314821i | ||||
\(872\) | −22.6517 | + | 9.02525i | −0.767082 | + | 0.305634i | ||||
\(873\) | −0.551862 | − | 3.16511i | −0.0186777 | − | 0.107123i | ||||
\(874\) | −1.33584 | + | 2.51965i | −0.0451853 | + | 0.0852285i | ||||
\(875\) | 5.74703 | − | 17.0566i | 0.194285 | − | 0.576618i | ||||
\(876\) | 4.10428 | − | 2.06149i | 0.138671 | − | 0.0696513i | ||||
\(877\) | 12.0832 | − | 11.4458i | 0.408021 | − | 0.386498i | −0.455978 | − | 0.889991i | \(-0.650711\pi\) |
0.864000 | + | 0.503493i | \(0.167952\pi\) | |||||||
\(878\) | 1.57337 | − | 9.59712i | 0.0530986 | − | 0.323887i | ||||
\(879\) | 9.15247 | + | 3.88231i | 0.308705 | + | 0.130947i | ||||
\(880\) | 7.05721 | + | 0.382631i | 0.237898 | + | 0.0128985i | ||||
\(881\) | 3.72109 | + | 2.23891i | 0.125367 | + | 0.0754307i | 0.576856 | − | 0.816846i | \(-0.304279\pi\) |
−0.451489 | + | 0.892277i | \(0.649107\pi\) | |||||||
\(882\) | 4.25222 | − | 3.68664i | 0.143180 | − | 0.124136i | ||||
\(883\) | 12.7386 | − | 45.8802i | 0.428687 | − | 1.54399i | −0.362243 | − | 0.932084i | \(-0.617989\pi\) |
0.790930 | − | 0.611907i | \(-0.209597\pi\) | |||||||
\(884\) | 7.57311 | 0.254711 | ||||||||
\(885\) | 16.6376 | − | 23.5941i | 0.559268 | − | 0.793106i | ||||
\(886\) | 10.3817 | 0.348778 | ||||||||
\(887\) | −6.64658 | + | 23.9388i | −0.223170 | + | 0.803787i | 0.764149 | + | 0.645040i | \(0.223159\pi\) |
−0.987319 | + | 0.158747i | \(0.949255\pi\) | |||||||
\(888\) | 2.92706 | − | 22.3280i | 0.0982258 | − | 0.749279i | ||||
\(889\) | 10.1269 | + | 6.09314i | 0.339644 | + | 0.204357i | ||||
\(890\) | 7.63114 | + | 0.413748i | 0.255796 | + | 0.0138689i | ||||
\(891\) | −8.25240 | + | 5.19578i | −0.276466 | + | 0.174065i | ||||
\(892\) | −4.40149 | + | 26.8479i | −0.147373 | + | 0.898934i | ||||
\(893\) | −26.6970 | + | 25.2887i | −0.893380 | + | 0.846254i | ||||
\(894\) | 5.79501 | + | 11.5374i | 0.193814 | + | 0.385870i | ||||
\(895\) | −0.436670 | + | 1.29599i | −0.0145963 | + | 0.0433202i | ||||
\(896\) | 7.73933 | − | 14.5979i | 0.258553 | − | 0.487683i | ||||
\(897\) | −5.80224 | + | 7.29363i | −0.193731 | + | 0.243527i | ||||
\(898\) | −9.19136 | + | 3.66217i | −0.306720 | + | 0.122208i | ||||
\(899\) | 20.1448 | + | 9.31996i | 0.671865 | + | 0.310838i | ||||
\(900\) | −0.979398 | − | 1.26165i | −0.0326466 | − | 0.0420551i | ||||
\(901\) | −1.68775 | − | 3.18343i | −0.0562270 | − | 0.106055i | ||||
\(902\) | −4.64437 | + | 0.761405i | −0.154640 | + | 0.0253520i | ||||
\(903\) | 5.15223 | + | 26.1352i | 0.171456 | + | 0.869725i | ||||
\(904\) | −20.4798 | − | 24.1107i | −0.681148 | − | 0.801910i | ||||
\(905\) | −6.27247 | − | 4.25284i | −0.208504 | − | 0.141369i | ||||
\(906\) | −3.45496 | − | 1.04172i | −0.114783 | − | 0.0346089i | ||||
\(907\) | 2.40243 | + | 2.27570i | 0.0797714 | + | 0.0755635i | 0.726547 | − | 0.687117i | \(-0.241124\pi\) |
−0.646775 | + | 0.762681i | \(0.723883\pi\) | |||||||
\(908\) | −0.187701 | + | 0.142687i | −0.00622909 | + | 0.00473523i | ||||
\(909\) | 1.79761 | − | 18.2459i | 0.0596230 | − | 0.605177i | ||||
\(910\) | −3.80792 | − | 0.414136i | −0.126231 | − | 0.0137285i | ||||
\(911\) | 2.82721 | + | 25.9958i | 0.0936696 | + | 0.861278i | 0.942860 | + | 0.333190i | \(0.108125\pi\) |
−0.849190 | + | 0.528088i | \(0.822909\pi\) | |||||||
\(912\) | 8.88563 | − | 15.9037i | 0.294232 | − | 0.526625i | ||||
\(913\) | −7.30329 | + | 8.59810i | −0.241704 | + | 0.284556i | ||||
\(914\) | −4.01751 | + | 1.11545i | −0.132887 | + | 0.0368960i | ||||
\(915\) | −19.5698 | − | 9.58259i | −0.646958 | − | 0.316791i | ||||
\(916\) | −14.2463 | − | 12.1010i | −0.470713 | − | 0.399827i | ||||
\(917\) | 9.49927 | − | 2.09095i | 0.313693 | − | 0.0690491i | ||||
\(918\) | −1.56015 | + | 2.86003i | −0.0514925 | + | 0.0943951i | ||||
\(919\) | −5.27763 | + | 48.5270i | −0.174093 | + | 1.60076i | 0.502619 | + | 0.864508i | \(0.332370\pi\) |
−0.676711 | + | 0.736248i | \(0.736595\pi\) | |||||||
\(920\) | −1.45592 | + | 6.61432i | −0.0480003 | + | 0.218068i | ||||
\(921\) | 3.79809 | − | 49.7570i | 0.125151 | − | 1.63955i | ||||
\(922\) | 4.39691 | − | 4.64177i | 0.144805 | − | 0.152868i | ||||
\(923\) | −31.8586 | + | 14.7394i | −1.04864 | + | 0.485152i | ||||
\(924\) | 1.32538 | + | 5.21655i | 0.0436017 | + | 0.171612i | ||||
\(925\) | −1.82344 | + | 1.54885i | −0.0599544 | + | 0.0509257i | ||||
\(926\) | 9.71962 | − | 12.7859i | 0.319406 | − | 0.420172i | ||||
\(927\) | 2.93524 | + | 10.1711i | 0.0964060 | + | 0.334063i | ||||
\(928\) | −15.1821 | + | 8.04902i | −0.498376 | + | 0.264222i | ||||
\(929\) | 1.39989 | − | 0.842287i | 0.0459290 | − | 0.0276345i | −0.492404 | − | 0.870367i | \(-0.663882\pi\) |
0.538333 | + | 0.842732i | \(0.319054\pi\) | |||||||
\(930\) | 8.09382 | − | 3.53038i | 0.265407 | − | 0.115766i | ||||
\(931\) | −5.88349 | − | 14.7665i | −0.192824 | − | 0.483951i | ||||
\(932\) | −2.06386 | − | 38.0657i | −0.0676041 | − | 1.24688i | ||||
\(933\) | −25.1418 | + | 9.38138i | −0.823105 | + | 0.307133i | ||||
\(934\) | 2.48520 | + | 0.837363i | 0.0813184 | + | 0.0273994i | ||||
\(935\) | −1.32132 | + | 3.31625i | −0.0432116 | + | 0.108453i | ||||
\(936\) | −8.27423 | + | 9.94351i | −0.270452 | + | 0.325014i | ||||
\(937\) | −48.1093 | − | 7.88713i | −1.57166 | − | 0.257661i | −0.687974 | − | 0.725735i | \(-0.741500\pi\) |
−0.883689 | + | 0.468074i | \(0.844948\pi\) | |||||||
\(938\) | −1.67757 | − | 4.97886i | −0.0547747 | − | 0.162566i | ||||
\(939\) | 31.7533 | − | 32.0765i | 1.03623 | − | 1.04678i | ||||
\(940\) | −21.5089 | + | 35.7481i | −0.701543 | + | 1.16597i | ||||
\(941\) | 12.1600 | + | 17.9346i | 0.396404 | + | 0.584651i | 0.972550 | − | 0.232695i | \(-0.0747545\pi\) |
−0.576146 | + | 0.817347i | \(0.695444\pi\) | |||||||
\(942\) | −12.4955 | + | 8.07638i | −0.407126 | + | 0.263143i | ||||
\(943\) | 20.7569i | 0.675937i | ||||||||
\(944\) | −23.0495 | + | 1.33427i | −0.750198 | + | 0.0434266i | ||||
\(945\) | −10.0929 | + | 14.5113i | −0.328322 | + | 0.472052i | ||||
\(946\) | −4.23001 | − | 1.17446i | −0.137530 | − | 0.0381849i | ||||
\(947\) | 16.3327 | − | 11.0739i | 0.530742 | − | 0.359852i | −0.266190 | − | 0.963920i | \(-0.585765\pi\) |
0.796932 | + | 0.604068i | \(0.206455\pi\) | |||||||
\(948\) | 11.3730 | − | 3.55517i | 0.369378 | − | 0.115466i | ||||
\(949\) | −0.213960 | + | 3.94626i | −0.00694544 | + | 0.128101i | ||||
\(950\) | 0.398519 | − | 0.134277i | 0.0129297 | − | 0.00435651i | ||||
\(951\) | 17.5558 | − | 14.2587i | 0.569286 | − | 0.462369i | ||||
\(952\) | 2.58839 | + | 2.73253i | 0.0838903 | + | 0.0885619i | ||||
\(953\) | −18.6918 | − | 7.44748i | −0.605486 | − | 0.241248i | 0.0471887 | − | 0.998886i | \(-0.484974\pi\) |
−0.652675 | + | 0.757638i | \(0.726353\pi\) | |||||||
\(954\) | 2.87779 | + | 0.602963i | 0.0931718 | + | 0.0195217i | ||||
\(955\) | 5.95920 | + | 3.15937i | 0.192835 | + | 0.102235i | ||||
\(956\) | −13.7508 | + | 0.745549i | −0.444734 | + | 0.0241128i | ||||
\(957\) | 2.49027 | − | 6.88594i | 0.0804991 | − | 0.222591i | ||||
\(958\) | −2.03192 | + | 4.39193i | −0.0656485 | + | 0.141897i | ||||
\(959\) | −11.8480 | − | 19.6916i | −0.382593 | − | 0.635875i | ||||
\(960\) | 3.72578 | − | 15.3123i | 0.120249 | − | 0.494203i | ||||
\(961\) | 0.220643 | + | 1.34586i | 0.00711752 | + | 0.0434150i | ||||
\(962\) | 7.36943 | + | 5.60210i | 0.237600 | + | 0.180619i | ||||
\(963\) | 29.3016 | + | 27.1984i | 0.944231 | + | 0.876455i | ||||
\(964\) | 4.42475 | − | 6.52602i | 0.142512 | − | 0.210189i | ||||
\(965\) | 7.22194 | + | 15.6100i | 0.232482 | + | 0.502502i | ||||
\(966\) | −2.20465 | + | 0.190760i | −0.0709335 | + | 0.00613760i | ||||
\(967\) | −8.81762 | − | 11.5994i | −0.283556 | − | 0.373011i | 0.632160 | − | 0.774838i | \(-0.282169\pi\) |
−0.915716 | + | 0.401827i | \(0.868375\pi\) | |||||||
\(968\) | 15.1760 | + | 3.34048i | 0.487774 | + | 0.107367i | ||||
\(969\) | 6.17934 | + | 6.81806i | 0.198509 | + | 0.219028i | ||||
\(970\) | 0.954115 | − | 0.103766i | 0.0306348 | − | 0.00333173i | ||||
\(971\) | 4.65086 | + | 21.1291i | 0.149253 | + | 0.678064i | 0.990511 | + | 0.137431i | \(0.0438844\pi\) |
−0.841258 | + | 0.540634i | \(0.818185\pi\) | |||||||
\(972\) | 10.5089 | + | 26.5115i | 0.337073 | + | 0.850358i | ||||
\(973\) | −1.52077 | − | 5.47730i | −0.0487535 | − | 0.175594i | ||||
\(974\) | −2.05308 | − | 7.39453i | −0.0657849 | − | 0.236936i | ||||
\(975\) | 1.36079 | − | 0.192426i | 0.0435800 | − | 0.00616256i | ||||
\(976\) | 3.74605 | + | 17.0185i | 0.119908 | + | 0.544748i | ||||
\(977\) | −0.390574 | + | 0.0424775i | −0.0124956 | + | 0.00135898i | −0.114365 | − | 0.993439i | \(-0.536483\pi\) |
0.101869 | + | 0.994798i | \(0.467518\pi\) | |||||||
\(978\) | 8.84216 | − | 8.01382i | 0.282741 | − | 0.256254i | ||||
\(979\) | 9.02430 | + | 1.98640i | 0.288418 | + | 0.0634856i | ||||
\(980\) | −10.9136 | − | 14.3566i | −0.348622 | − | 0.458605i | ||||
\(981\) | −37.1050 | − | 27.6181i | −1.18467 | − | 0.881779i | ||||
\(982\) | −5.11894 | − | 11.0644i | −0.163352 | − | 0.353079i | ||||
\(983\) | 2.36211 | − | 3.48385i | 0.0753397 | − | 0.111118i | −0.788152 | − | 0.615480i | \(-0.788962\pi\) |
0.863492 | + | 0.504362i | \(0.168272\pi\) | |||||||
\(984\) | −0.634329 | + | 28.8028i | −0.0202217 | + | 0.918198i | ||||
\(985\) | 37.6676 | + | 28.6342i | 1.20019 | + | 0.912360i | ||||
\(986\) | −0.395762 | − | 2.41404i | −0.0126036 | − | 0.0768787i | ||||
\(987\) | −27.7249 | − | 6.74600i | −0.882492 | − | 0.214727i | ||||
\(988\) | 8.99876 | + | 14.9561i | 0.286289 | + | 0.475816i | ||||
\(989\) | −8.12977 | + | 17.5722i | −0.258512 | + | 0.558764i | ||||
\(990\) | −1.39049 | − | 2.55977i | −0.0441927 | − | 0.0813547i | ||||
\(991\) | −2.02089 | + | 0.109570i | −0.0641957 | + | 0.00348059i | −0.0862088 | − | 0.996277i | \(-0.527475\pi\) |
0.0220131 | + | 0.999758i | \(0.492992\pi\) | |||||||
\(992\) | −22.1366 | − | 11.7361i | −0.702839 | − | 0.372621i | ||||
\(993\) | −50.6265 | + | 28.9622i | −1.60658 | + | 0.919088i | ||||
\(994\) | −7.74267 | − | 3.08496i | −0.245583 | − | 0.0978490i | ||||
\(995\) | 15.6361 | + | 16.5068i | 0.495698 | + | 0.523302i | ||||
\(996\) | 20.7990 | + | 25.6085i | 0.659042 | + | 0.811438i | ||||
\(997\) | −16.4957 | + | 5.55804i | −0.522423 | + | 0.176025i | −0.568144 | − | 0.822929i | \(-0.692338\pi\) |
0.0457205 | + | 0.998954i | \(0.485442\pi\) | |||||||
\(998\) | 0.336242 | − | 6.20162i | 0.0106436 | − | 0.196309i | ||||
\(999\) | 38.9808 | − | 17.4746i | 1.23330 | − | 0.552873i |
(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 | 177.2.f.a.32.10 | yes | 504 | |
3.2 | odd | 2 | inner | 177.2.f.a.32.9 | ✓ | 504 | |
59.24 | odd | 58 | inner | 177.2.f.a.83.9 | yes | 504 | |
177.83 | even | 58 | inner | 177.2.f.a.83.10 | yes | 504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.f.a.32.9 | ✓ | 504 | 3.2 | odd | 2 | inner | |
177.2.f.a.32.10 | yes | 504 | 1.1 | even | 1 | trivial | |
177.2.f.a.83.9 | yes | 504 | 59.24 | odd | 58 | inner | |
177.2.f.a.83.10 | yes | 504 | 177.83 | even | 58 | inner |