Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [165,2,Mod(29,165)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(165, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("165.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 165 = 3 \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 165.r (of order \(10\), degree \(4\), 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: | \(1.31753163335\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 29.15 | ||
Character | \(\chi\) | \(=\) | 165.29 |
Dual form | 165.2.r.a.74.15 |
$q$-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 \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(67\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.875212 | − | 1.20463i | 0.618869 | − | 0.851799i | −0.378401 | − | 0.925642i | \(-0.623526\pi\) |
0.997270 | + | 0.0738422i | \(0.0235261\pi\) | |||||||
\(3\) | −1.42731 | + | 0.981214i | −0.824059 | + | 0.566504i | ||||
\(4\) | −0.0670941 | − | 0.206494i | −0.0335470 | − | 0.103247i | ||||
\(5\) | 2.16710 | + | 0.551056i | 0.969158 | + | 0.246440i | ||||
\(6\) | −0.0672046 | + | 2.57815i | −0.0274362 | + | 1.05252i | ||||
\(7\) | −0.259482 | − | 0.798604i | −0.0980751 | − | 0.301844i | 0.889968 | − | 0.456023i | \(-0.150727\pi\) |
−0.988043 | + | 0.154179i | \(0.950727\pi\) | |||||||
\(8\) | 2.52478 | + | 0.820350i | 0.892643 | + | 0.290037i | ||||
\(9\) | 1.07444 | − | 2.80100i | 0.358146 | − | 0.933666i | ||||
\(10\) | 2.56049 | − | 2.12826i | 0.809699 | − | 0.673014i | ||||
\(11\) | 2.11726 | + | 2.55289i | 0.638376 | + | 0.769724i | ||||
\(12\) | 0.298379 | + | 0.228898i | 0.0861347 | + | 0.0660772i | ||||
\(13\) | −1.96978 | − | 1.43113i | −0.546318 | − | 0.396923i | 0.280108 | − | 0.959968i | \(-0.409630\pi\) |
−0.826426 | + | 0.563045i | \(0.809630\pi\) | |||||||
\(14\) | −1.18912 | − | 0.386369i | −0.317806 | − | 0.103261i | ||||
\(15\) | −3.63384 | + | 1.33986i | −0.938253 | + | 0.345951i | ||||
\(16\) | 3.54924 | − | 2.57867i | 0.887310 | − | 0.644668i | ||||
\(17\) | 0.182555 | + | 0.251266i | 0.0442762 | + | 0.0609410i | 0.830581 | − | 0.556898i | \(-0.188008\pi\) |
−0.786305 | + | 0.617839i | \(0.788008\pi\) | |||||||
\(18\) | −2.43379 | − | 3.74576i | −0.573650 | − | 0.882885i | ||||
\(19\) | −5.72886 | − | 1.86142i | −1.31429 | − | 0.427039i | −0.433761 | − | 0.901028i | \(-0.642814\pi\) |
−0.880531 | + | 0.473989i | \(0.842814\pi\) | |||||||
\(20\) | −0.0316098 | − | 0.484467i | −0.00706816 | − | 0.108330i | ||||
\(21\) | 1.15396 | + | 0.885250i | 0.251816 | + | 0.193177i | ||||
\(22\) | 4.92832 | − | 0.316183i | 1.05072 | − | 0.0674105i | ||||
\(23\) | −5.74665 | −1.19826 | −0.599130 | − | 0.800652i | \(-0.704487\pi\) | ||||
−0.599130 | + | 0.800652i | \(0.704487\pi\) | |||||||
\(24\) | −4.40858 | + | 1.30645i | −0.899898 | + | 0.266678i | ||||
\(25\) | 4.39267 | + | 2.38839i | 0.878535 | + | 0.477678i | ||||
\(26\) | −3.44794 | + | 1.12031i | −0.676198 | + | 0.219710i | ||||
\(27\) | 1.21482 | + | 5.05215i | 0.233792 | + | 0.972287i | ||||
\(28\) | −0.147498 | + | 0.107163i | −0.0278744 | + | 0.0202519i | ||||
\(29\) | −0.755560 | − | 2.32538i | −0.140304 | − | 0.431811i | 0.856073 | − | 0.516855i | \(-0.172897\pi\) |
−0.996377 | + | 0.0850431i | \(0.972897\pi\) | |||||||
\(30\) | −1.56634 | + | 5.55008i | −0.285974 | + | 1.01330i | ||||
\(31\) | −2.24512 | − | 1.63117i | −0.403235 | − | 0.292968i | 0.367622 | − | 0.929975i | \(-0.380172\pi\) |
−0.770857 | + | 0.637008i | \(0.780172\pi\) | |||||||
\(32\) | − | 1.22298i | − | 0.216194i | ||||||
\(33\) | −5.52691 | − | 1.56629i | −0.962112 | − | 0.272655i | ||||
\(34\) | 0.462456 | 0.0793106 | ||||||||
\(35\) | −0.122249 | − | 1.87365i | −0.0206638 | − | 0.316704i | ||||
\(36\) | −0.650478 | − | 0.0339351i | −0.108413 | − | 0.00565585i | ||||
\(37\) | −8.50603 | + | 2.76378i | −1.39838 | + | 0.454362i | −0.908667 | − | 0.417521i | \(-0.862899\pi\) |
−0.489715 | + | 0.871883i | \(0.662899\pi\) | |||||||
\(38\) | −7.25629 | + | 5.27200i | −1.17713 | + | 0.855232i | ||||
\(39\) | 4.21573 | + | 0.109891i | 0.675056 | + | 0.0175967i | ||||
\(40\) | 5.01939 | + | 3.16908i | 0.793636 | + | 0.501075i | ||||
\(41\) | 2.71666 | − | 8.36103i | 0.424271 | − | 1.30577i | −0.479419 | − | 0.877586i | \(-0.659153\pi\) |
0.903690 | − | 0.428187i | \(-0.140847\pi\) | |||||||
\(42\) | 2.07636 | − | 0.615314i | 0.320389 | − | 0.0949450i | ||||
\(43\) | 3.32121 | 0.506480 | 0.253240 | − | 0.967403i | \(-0.418504\pi\) | ||||
0.253240 | + | 0.967403i | \(0.418504\pi\) | |||||||
\(44\) | 0.385101 | − | 0.608485i | 0.0580562 | − | 0.0917325i | ||||
\(45\) | 3.87193 | − | 5.47797i | 0.577193 | − | 0.816608i | ||||
\(46\) | −5.02954 | + | 6.92257i | −0.741565 | + | 1.02068i | ||||
\(47\) | −0.122317 | + | 0.376453i | −0.0178417 | + | 0.0549113i | −0.959581 | − | 0.281433i | \(-0.909190\pi\) |
0.941739 | + | 0.336344i | \(0.109190\pi\) | |||||||
\(48\) | −2.53564 | + | 7.16313i | −0.365988 | + | 1.03391i | ||||
\(49\) | 5.09268 | − | 3.70005i | 0.727526 | − | 0.528578i | ||||
\(50\) | 6.72164 | − | 3.20118i | 0.950584 | − | 0.452715i | ||||
\(51\) | −0.507109 | − | 0.179509i | −0.0710095 | − | 0.0251363i | ||||
\(52\) | −0.163359 | + | 0.502768i | −0.0226538 | + | 0.0697213i | ||||
\(53\) | 6.06755 | + | 4.40833i | 0.833442 | + | 0.605531i | 0.920531 | − | 0.390669i | \(-0.127756\pi\) |
−0.0870888 | + | 0.996201i | \(0.527756\pi\) | |||||||
\(54\) | 7.14918 | + | 2.95830i | 0.972880 | + | 0.402574i | ||||
\(55\) | 3.18153 | + | 6.69910i | 0.428997 | + | 0.903306i | ||||
\(56\) | − | 2.22916i | − | 0.297885i | ||||||
\(57\) | 10.0033 | − | 2.96441i | 1.32497 | − | 0.392646i | ||||
\(58\) | −3.46248 | − | 1.12503i | −0.454646 | − | 0.147724i | ||||
\(59\) | −10.5430 | + | 3.42562i | −1.37258 | + | 0.445978i | −0.900223 | − | 0.435429i | \(-0.856597\pi\) |
−0.472357 | + | 0.881407i | \(0.656597\pi\) | |||||||
\(60\) | 0.520483 | + | 0.660470i | 0.0671940 | + | 0.0852663i | ||||
\(61\) | −4.35961 | − | 6.00049i | −0.558191 | − | 0.768284i | 0.432904 | − | 0.901440i | \(-0.357489\pi\) |
−0.991095 | + | 0.133156i | \(0.957489\pi\) | |||||||
\(62\) | −3.92991 | + | 1.27691i | −0.499099 | + | 0.162167i | ||||
\(63\) | −2.51569 | − | 0.131242i | −0.316947 | − | 0.0165349i | ||||
\(64\) | 5.62525 | + | 4.08698i | 0.703156 | + | 0.510872i | ||||
\(65\) | −3.48008 | − | 4.18686i | −0.431650 | − | 0.519316i | ||||
\(66\) | −6.72401 | + | 5.28703i | −0.827668 | + | 0.650789i | ||||
\(67\) | 1.70411i | 0.208190i | 0.994567 | + | 0.104095i | \(0.0331947\pi\) | ||||
−0.994567 | + | 0.104095i | \(0.966805\pi\) | |||||||
\(68\) | 0.0396366 | − | 0.0545551i | 0.00480665 | − | 0.00661578i | ||||
\(69\) | 8.20227 | − | 5.63870i | 0.987437 | − | 0.678819i | ||||
\(70\) | −2.36404 | − | 1.49257i | −0.282557 | − | 0.178397i | ||||
\(71\) | −0.389936 | − | 0.536701i | −0.0462769 | − | 0.0636947i | 0.785251 | − | 0.619177i | \(-0.212534\pi\) |
−0.831528 | + | 0.555482i | \(0.812534\pi\) | |||||||
\(72\) | 5.01051 | − | 6.19048i | 0.590495 | − | 0.729554i | ||||
\(73\) | −4.98888 | − | 15.3542i | −0.583905 | − | 1.79707i | −0.603625 | − | 0.797269i | \(-0.706277\pi\) |
0.0197201 | − | 0.999806i | \(-0.493723\pi\) | |||||||
\(74\) | −4.11526 | + | 12.6655i | −0.478390 | + | 1.47233i | ||||
\(75\) | −8.61324 | + | 0.901173i | −0.994571 | + | 0.104058i | ||||
\(76\) | 1.30787i | 0.150023i | ||||||||
\(77\) | 1.48936 | − | 2.35328i | 0.169728 | − | 0.268181i | ||||
\(78\) | 3.82203 | − | 4.98220i | 0.432760 | − | 0.564123i | ||||
\(79\) | 1.31923 | − | 1.81576i | 0.148425 | − | 0.204289i | −0.728330 | − | 0.685226i | \(-0.759703\pi\) |
0.876755 | + | 0.480937i | \(0.159703\pi\) | |||||||
\(80\) | 9.11256 | − | 3.63242i | 1.01882 | − | 0.406117i | ||||
\(81\) | −6.69117 | − | 6.01900i | −0.743463 | − | 0.668777i | ||||
\(82\) | −7.69425 | − | 10.5902i | −0.849688 | − | 1.16950i | ||||
\(83\) | 0.260754 | + | 0.358897i | 0.0286214 | + | 0.0393940i | 0.823088 | − | 0.567914i | \(-0.192249\pi\) |
−0.794466 | + | 0.607308i | \(0.792249\pi\) | |||||||
\(84\) | 0.105375 | − | 0.297682i | 0.0114973 | − | 0.0324798i | ||||
\(85\) | 0.257155 | + | 0.645118i | 0.0278924 | + | 0.0699729i | ||||
\(86\) | 2.90677 | − | 4.00082i | 0.313445 | − | 0.431420i | ||||
\(87\) | 3.36011 | + | 2.57767i | 0.360242 | + | 0.276355i | ||||
\(88\) | 3.25134 | + | 8.18236i | 0.346594 | + | 0.872242i | ||||
\(89\) | 16.7081i | 1.77105i | 0.464588 | + | 0.885527i | \(0.346202\pi\) | ||||
−0.464588 | + | 0.885527i | \(0.653798\pi\) | |||||||
\(90\) | −3.21015 | − | 9.45861i | −0.338380 | − | 0.997025i | ||||
\(91\) | −0.631782 | + | 1.94442i | −0.0662287 | + | 0.203831i | ||||
\(92\) | 0.385566 | + | 1.18665i | 0.0401981 | + | 0.123717i | ||||
\(93\) | 4.80502 | + | 0.125252i | 0.498257 | + | 0.0129881i | ||||
\(94\) | 0.346431 | + | 0.476822i | 0.0357317 | + | 0.0491804i | ||||
\(95\) | −11.3893 | − | 7.19082i | −1.16852 | − | 0.737762i | ||||
\(96\) | 1.20000 | + | 1.74557i | 0.122475 | + | 0.178157i | ||||
\(97\) | −1.67704 | + | 2.30824i | −0.170277 | + | 0.234366i | −0.885624 | − | 0.464403i | \(-0.846269\pi\) |
0.715347 | + | 0.698770i | \(0.246269\pi\) | |||||||
\(98\) | − | 9.37311i | − | 0.946827i | ||||||
\(99\) | 9.42549 | − | 3.18751i | 0.947297 | − | 0.320356i | ||||
\(100\) | 0.198467 | − | 1.06731i | 0.0198467 | − | 0.106731i | ||||
\(101\) | 11.6689 | + | 8.47798i | 1.16110 | + | 0.843591i | 0.989917 | − | 0.141648i | \(-0.0452401\pi\) |
0.171186 | + | 0.985239i | \(0.445240\pi\) | |||||||
\(102\) | −0.660070 | + | 0.453769i | −0.0653566 | + | 0.0449298i | ||||
\(103\) | 4.42164 | − | 1.43668i | 0.435677 | − | 0.141560i | −0.0829633 | − | 0.996553i | \(-0.526438\pi\) |
0.518640 | + | 0.854993i | \(0.326438\pi\) | |||||||
\(104\) | −3.79922 | − | 5.22918i | −0.372544 | − | 0.512763i | ||||
\(105\) | 2.01294 | + | 2.55433i | 0.196442 | + | 0.249277i | ||||
\(106\) | 10.6208 | − | 3.45090i | 1.03158 | − | 0.335181i | ||||
\(107\) | 15.7841 | + | 5.12856i | 1.52591 | + | 0.495797i | 0.947447 | − | 0.319914i | \(-0.103654\pi\) |
0.578460 | + | 0.815711i | \(0.303654\pi\) | |||||||
\(108\) | 0.961733 | − | 0.589822i | 0.0925428 | − | 0.0567557i | ||||
\(109\) | 17.4265i | 1.66915i | 0.550893 | + | 0.834576i | \(0.314287\pi\) | ||||
−0.550893 | + | 0.834576i | \(0.685713\pi\) | |||||||
\(110\) | 10.8544 | + | 2.03058i | 1.03493 | + | 0.193608i | ||||
\(111\) | 9.42890 | − | 12.2910i | 0.894952 | − | 1.16661i | ||||
\(112\) | −2.98030 | − | 2.16532i | −0.281612 | − | 0.204603i | ||||
\(113\) | 0.0373195 | − | 0.114858i | 0.00351073 | − | 0.0108049i | −0.949286 | − | 0.314414i | \(-0.898192\pi\) |
0.952797 | + | 0.303610i | \(0.0981918\pi\) | |||||||
\(114\) | 5.18402 | − | 14.6448i | 0.485528 | − | 1.37161i | ||||
\(115\) | −12.4536 | − | 3.16673i | −1.16130 | − | 0.295299i | ||||
\(116\) | −0.429483 | + | 0.312038i | −0.0398765 | + | 0.0289720i | ||||
\(117\) | −6.12498 | + | 3.97968i | −0.566255 | + | 0.367922i | ||||
\(118\) | −5.10076 | + | 15.6985i | −0.469563 | + | 1.44517i | ||||
\(119\) | 0.153292 | − | 0.210989i | 0.0140523 | − | 0.0193413i | ||||
\(120\) | −10.2738 | + | 0.401838i | −0.937864 | + | 0.0366826i | ||||
\(121\) | −2.03446 | + | 10.8102i | −0.184951 | + | 0.982748i | ||||
\(122\) | −11.0439 | −0.999871 | ||||||||
\(123\) | 4.32643 | + | 14.5994i | 0.390101 | + | 1.31639i | ||||
\(124\) | −0.186194 | + | 0.573046i | −0.0167207 | + | 0.0514611i | ||||
\(125\) | 8.20324 | + | 7.59650i | 0.733720 | + | 0.679452i | ||||
\(126\) | −2.35986 | + | 2.91560i | −0.210233 | + | 0.259742i | ||||
\(127\) | −4.49454 | + | 3.26548i | −0.398826 | + | 0.289764i | −0.769063 | − | 0.639173i | \(-0.779277\pi\) |
0.370237 | + | 0.928937i | \(0.379277\pi\) | |||||||
\(128\) | 12.1728 | − | 3.95519i | 1.07593 | − | 0.349592i | ||||
\(129\) | −4.74041 | + | 3.25882i | −0.417370 | + | 0.286923i | ||||
\(130\) | −8.08940 | + | 0.527805i | −0.709488 | + | 0.0462916i | ||||
\(131\) | 2.08974 | 0.182582 | 0.0912908 | − | 0.995824i | \(-0.470901\pi\) | ||||
0.0912908 | + | 0.995824i | \(0.470901\pi\) | |||||||
\(132\) | 0.0473940 | + | 1.24636i | 0.00412512 | + | 0.108482i | ||||
\(133\) | 5.05810i | 0.438593i | ||||||||
\(134\) | 2.05282 | + | 1.49146i | 0.177336 | + | 0.128842i | ||||
\(135\) | −0.151381 | + | 11.6180i | −0.0130288 | + | 0.999915i | ||||
\(136\) | 0.254786 | + | 0.784150i | 0.0218477 | + | 0.0672403i | ||||
\(137\) | 8.15234 | − | 5.92302i | 0.696502 | − | 0.506038i | −0.182289 | − | 0.983245i | \(-0.558351\pi\) |
0.878791 | + | 0.477207i | \(0.158351\pi\) | |||||||
\(138\) | 0.386202 | − | 14.8157i | 0.0328757 | − | 1.26120i | ||||
\(139\) | 0.794812 | − | 0.258250i | 0.0674151 | − | 0.0219045i | −0.275115 | − | 0.961411i | \(-0.588716\pi\) |
0.342530 | + | 0.939507i | \(0.388716\pi\) | |||||||
\(140\) | −0.378695 | + | 0.150954i | −0.0320056 | + | 0.0127580i | ||||
\(141\) | −0.194796 | − | 0.657334i | −0.0164048 | − | 0.0553575i | ||||
\(142\) | −0.987801 | −0.0828944 | ||||||||
\(143\) | −0.517016 | − | 8.05867i | −0.0432350 | − | 0.673900i | ||||
\(144\) | −3.40942 | − | 12.7120i | −0.284118 | − | 1.05934i | ||||
\(145\) | −0.355964 | − | 5.45569i | −0.0295612 | − | 0.453070i | ||||
\(146\) | −22.8624 | − | 7.42845i | −1.89211 | − | 0.614783i | ||||
\(147\) | −3.63830 | + | 10.2781i | −0.300082 | + | 0.847726i | ||||
\(148\) | 1.14141 | + | 1.57101i | 0.0938232 | + | 0.129136i | ||||
\(149\) | 2.06392 | − | 1.49953i | 0.169083 | − | 0.122846i | −0.500026 | − | 0.866011i | \(-0.666676\pi\) |
0.669109 | + | 0.743165i | \(0.266676\pi\) | |||||||
\(150\) | −6.45284 | + | 11.1645i | −0.526872 | + | 0.911574i | ||||
\(151\) | 6.96223 | + | 2.26217i | 0.566578 | + | 0.184092i | 0.578279 | − | 0.815839i | \(-0.303725\pi\) |
−0.0117006 | + | 0.999932i | \(0.503725\pi\) | |||||||
\(152\) | −12.9371 | − | 9.39934i | −1.04934 | − | 0.762387i | ||||
\(153\) | 0.899940 | − | 0.241367i | 0.0727558 | − | 0.0195134i | ||||
\(154\) | −1.53132 | − | 3.85374i | −0.123397 | − | 0.310543i | ||||
\(155\) | −3.96654 | − | 4.77211i | −0.318600 | − | 0.383305i | ||||
\(156\) | −0.260158 | − | 0.877896i | −0.0208293 | − | 0.0702880i | ||||
\(157\) | 5.49526 | + | 1.78552i | 0.438570 | + | 0.142500i | 0.519976 | − | 0.854181i | \(-0.325941\pi\) |
−0.0814060 | + | 0.996681i | \(0.525941\pi\) | |||||||
\(158\) | −1.03271 | − | 3.17835i | −0.0821580 | − | 0.252856i | ||||
\(159\) | −12.9858 | − | 0.338501i | −1.02984 | − | 0.0268449i | ||||
\(160\) | 0.673930 | − | 2.65032i | 0.0532788 | − | 0.209526i | ||||
\(161\) | 1.49115 | + | 4.58930i | 0.117519 | + | 0.361688i | ||||
\(162\) | −13.1068 | + | 2.79245i | −1.02977 | + | 0.219396i | ||||
\(163\) | 8.84432 | − | 12.1732i | 0.692741 | − | 0.953476i | −0.307258 | − | 0.951626i | \(-0.599411\pi\) |
0.999998 | − | 0.00184945i | \(-0.000588699\pi\) | |||||||
\(164\) | −1.90878 | −0.149050 | ||||||||
\(165\) | −11.1143 | − | 6.43994i | −0.865245 | − | 0.501349i | ||||
\(166\) | 0.660551 | 0.0512687 | ||||||||
\(167\) | −10.7740 | + | 14.8292i | −0.833718 | + | 1.14751i | 0.153501 | + | 0.988148i | \(0.450945\pi\) |
−0.987220 | + | 0.159366i | \(0.949055\pi\) | |||||||
\(168\) | 2.18729 | + | 3.18171i | 0.168753 | + | 0.245474i | ||||
\(169\) | −2.18532 | − | 6.72574i | −0.168102 | − | 0.517364i | ||||
\(170\) | 1.00219 | + | 0.254840i | 0.0768645 | + | 0.0195453i | ||||
\(171\) | −11.3691 | + | 14.0466i | −0.869420 | + | 1.07417i | ||||
\(172\) | −0.222834 | − | 0.685812i | −0.0169909 | − | 0.0522927i | ||||
\(173\) | −4.64092 | − | 1.50793i | −0.352843 | − | 0.114646i | 0.127232 | − | 0.991873i | \(-0.459391\pi\) |
−0.480075 | + | 0.877227i | \(0.659391\pi\) | |||||||
\(174\) | 6.04594 | − | 1.79167i | 0.458341 | − | 0.135826i | ||||
\(175\) | 0.767559 | − | 4.12775i | 0.0580220 | − | 0.312029i | ||||
\(176\) | 14.0977 | + | 3.60110i | 1.06265 | + | 0.271443i | ||||
\(177\) | 11.6869 | − | 15.2344i | 0.878438 | − | 1.14508i | ||||
\(178\) | 20.1270 | + | 14.6231i | 1.50858 | + | 1.09605i | ||||
\(179\) | −13.7067 | − | 4.45358i | −1.02449 | − | 0.332876i | −0.251878 | − | 0.967759i | \(-0.581048\pi\) |
−0.772608 | + | 0.634883i | \(0.781048\pi\) | |||||||
\(180\) | −1.39095 | − | 0.431991i | −0.103676 | − | 0.0321987i | ||||
\(181\) | −10.9139 | + | 7.92938i | −0.811220 | + | 0.589386i | −0.914184 | − | 0.405299i | \(-0.867167\pi\) |
0.102964 | + | 0.994685i | \(0.467167\pi\) | |||||||
\(182\) | 1.78936 | + | 2.46284i | 0.132636 | + | 0.182558i | ||||
\(183\) | 12.1103 | + | 4.28686i | 0.895218 | + | 0.316894i | ||||
\(184\) | −14.5090 | − | 4.71426i | −1.06962 | − | 0.347540i | ||||
\(185\) | −19.9564 | + | 1.30209i | −1.46723 | + | 0.0957314i | ||||
\(186\) | 4.35629 | − | 5.67863i | 0.319419 | − | 0.416377i | ||||
\(187\) | −0.254937 | + | 0.998038i | −0.0186429 | + | 0.0729837i | ||||
\(188\) | 0.0859420 | 0.00626797 | ||||||||
\(189\) | 3.71944 | − | 2.28110i | 0.270550 | − | 0.165926i | ||||
\(190\) | −18.6303 | + | 7.42635i | −1.35158 | + | 0.538764i | ||||
\(191\) | 4.72843 | − | 1.53636i | 0.342137 | − | 0.111167i | −0.132908 | − | 0.991128i | \(-0.542432\pi\) |
0.475045 | + | 0.879961i | \(0.342432\pi\) | |||||||
\(192\) | −12.0392 | − | 0.313825i | −0.868853 | − | 0.0226484i | ||||
\(193\) | −10.7665 | + | 7.82230i | −0.774988 | + | 0.563062i | −0.903471 | − | 0.428650i | \(-0.858989\pi\) |
0.128483 | + | 0.991712i | \(0.458989\pi\) | |||||||
\(194\) | 1.31281 | + | 4.04040i | 0.0942540 | + | 0.290084i | ||||
\(195\) | 9.07536 | + | 2.56125i | 0.649900 | + | 0.183415i | ||||
\(196\) | −1.10573 | − | 0.803358i | −0.0789805 | − | 0.0573827i | ||||
\(197\) | 0.0885134i | 0.00630632i | 0.999995 | + | 0.00315316i | \(0.00100368\pi\) | ||||
−0.999995 | + | 0.00315316i | \(0.998996\pi\) | |||||||
\(198\) | 4.40955 | − | 14.1439i | 0.313373 | − | 1.00517i | ||||
\(199\) | −25.7489 | −1.82529 | −0.912645 | − | 0.408753i | \(-0.865964\pi\) | ||||
−0.912645 | + | 0.408753i | \(0.865964\pi\) | |||||||
\(200\) | 9.13120 | + | 9.63368i | 0.645674 | + | 0.681204i | ||||
\(201\) | −1.67210 | − | 2.43230i | −0.117941 | − | 0.171561i | ||||
\(202\) | 20.4256 | − | 6.63668i | 1.43714 | − | 0.466955i | ||||
\(203\) | −1.66100 | + | 1.20679i | −0.116579 | + | 0.0846999i | ||||
\(204\) | −0.00304356 | + | 0.116759i | −0.000213092 | + | 0.00817478i | ||||
\(205\) | 10.4947 | − | 16.6222i | 0.732980 | − | 1.16094i | ||||
\(206\) | 2.13921 | − | 6.58382i | 0.149046 | − | 0.458716i | ||||
\(207\) | −6.17442 | + | 16.0964i | −0.429152 | + | 1.11877i | ||||
\(208\) | −10.6816 | −0.740637 | ||||||||
\(209\) | −7.37747 | − | 18.5662i | −0.510310 | − | 1.28425i | ||||
\(210\) | 4.83876 | − | 0.189258i | 0.333906 | − | 0.0130601i | ||||
\(211\) | 13.8532 | − | 19.0672i | 0.953691 | − | 1.31264i | 0.00382262 | − | 0.999993i | \(-0.498783\pi\) |
0.949868 | − | 0.312650i | \(-0.101217\pi\) | |||||||
\(212\) | 0.503199 | − | 1.54869i | 0.0345599 | − | 0.106364i | ||||
\(213\) | 1.08318 | + | 0.383429i | 0.0742182 | + | 0.0262721i | ||||
\(214\) | 19.9924 | − | 14.5254i | 1.36666 | − | 0.992933i | ||||
\(215\) | 7.19741 | + | 1.83018i | 0.490860 | + | 0.124817i | ||||
\(216\) | −1.07738 | + | 13.7521i | −0.0733066 | + | 0.935713i | ||||
\(217\) | −0.720094 | + | 2.21622i | −0.0488832 | + | 0.150447i | ||||
\(218\) | 20.9924 | + | 15.2518i | 1.42178 | + | 1.03299i | ||||
\(219\) | 22.1865 | + | 17.0201i | 1.49922 | + | 1.15011i | ||||
\(220\) | 1.16986 | − | 1.10644i | 0.0788722 | − | 0.0745959i | ||||
\(221\) | − | 0.756198i | − | 0.0508674i | ||||||
\(222\) | −6.55378 | − | 22.1155i | −0.439861 | − | 1.48430i | ||||
\(223\) | 19.2109 | + | 6.24199i | 1.28646 | + | 0.417995i | 0.870849 | − | 0.491550i | \(-0.163570\pi\) |
0.415606 | + | 0.909545i | \(0.363570\pi\) | |||||||
\(224\) | −0.976676 | + | 0.317341i | −0.0652569 | + | 0.0212033i | ||||
\(225\) | 11.4095 | − | 9.73769i | 0.760636 | − | 0.649179i | ||||
\(226\) | −0.105698 | − | 0.145481i | −0.00703093 | − | 0.00967725i | ||||
\(227\) | 0.613801 | − | 0.199436i | 0.0407394 | − | 0.0132370i | −0.288576 | − | 0.957457i | \(-0.593182\pi\) |
0.329316 | + | 0.944220i | \(0.393182\pi\) | |||||||
\(228\) | −1.28330 | − | 1.86674i | −0.0849885 | − | 0.123628i | ||||
\(229\) | 14.9958 | + | 10.8951i | 0.990949 | + | 0.719966i | 0.960129 | − | 0.279559i | \(-0.0901881\pi\) |
0.0308200 | + | 0.999525i | \(0.490188\pi\) | |||||||
\(230\) | −14.7143 | + | 12.2304i | −0.970230 | + | 0.806446i | ||||
\(231\) | 0.183293 | + | 4.82024i | 0.0120598 | + | 0.317148i | ||||
\(232\) | − | 6.49088i | − | 0.426147i | ||||||
\(233\) | −8.11799 | + | 11.1735i | −0.531827 | + | 0.731998i | −0.987408 | − | 0.158197i | \(-0.949432\pi\) |
0.455580 | + | 0.890195i | \(0.349432\pi\) | |||||||
\(234\) | −0.566632 | + | 10.8614i | −0.0370419 | + | 0.710031i | ||||
\(235\) | −0.472520 | + | 0.748408i | −0.0308238 | + | 0.0488208i | ||||
\(236\) | 1.41474 | + | 1.94723i | 0.0920920 | + | 0.126754i | ||||
\(237\) | −0.101299 | + | 3.88610i | −0.00658008 | + | 0.252429i | ||||
\(238\) | −0.119999 | − | 0.369320i | −0.00777840 | − | 0.0239394i | ||||
\(239\) | 2.85846 | − | 8.79745i | 0.184899 | − | 0.569059i | −0.815048 | − | 0.579393i | \(-0.803289\pi\) |
0.999947 | + | 0.0103340i | \(0.00328947\pi\) | |||||||
\(240\) | −9.44228 | + | 14.1260i | −0.609497 | + | 0.911827i | ||||
\(241\) | − | 10.2810i | − | 0.662260i | −0.943585 | − | 0.331130i | \(-0.892570\pi\) | ||
0.943585 | − | 0.331130i | \(-0.107430\pi\) | |||||||
\(242\) | 11.2417 | + | 11.9120i | 0.722644 | + | 0.765733i | ||||
\(243\) | 15.4563 | + | 2.02552i | 0.991522 | + | 0.129937i | ||||
\(244\) | −0.946563 | + | 1.30283i | −0.0605975 | + | 0.0834053i | ||||
\(245\) | 13.0753 | − | 5.21204i | 0.835350 | − | 0.332985i | ||||
\(246\) | 21.3734 | + | 7.56585i | 1.36272 | + | 0.482381i | ||||
\(247\) | 8.62065 | + | 11.8653i | 0.548519 | + | 0.754972i | ||||
\(248\) | −4.33029 | − | 5.96013i | −0.274974 | − | 0.378469i | ||||
\(249\) | −0.724331 | − | 0.256402i | −0.0459026 | − | 0.0162488i | ||||
\(250\) | 16.3305 | − | 3.23329i | 1.03283 | − | 0.204491i | ||||
\(251\) | −1.70243 | + | 2.34320i | −0.107456 | + | 0.147901i | −0.859358 | − | 0.511374i | \(-0.829137\pi\) |
0.751902 | + | 0.659275i | \(0.229137\pi\) | |||||||
\(252\) | 0.141687 | + | 0.528280i | 0.00892543 | + | 0.0332785i | ||||
\(253\) | −12.1671 | − | 14.6706i | −0.764941 | − | 0.922330i | ||||
\(254\) | 8.27223i | 0.519046i | ||||||||
\(255\) | −1.00004 | − | 0.668460i | −0.0626249 | − | 0.0418606i | ||||
\(256\) | 1.59197 | − | 4.89957i | 0.0994979 | − | 0.306223i | ||||
\(257\) | −3.03436 | − | 9.33880i | −0.189278 | − | 0.582538i | 0.810718 | − | 0.585437i | \(-0.199077\pi\) |
−0.999996 | + | 0.00289901i | \(0.999077\pi\) | |||||||
\(258\) | −0.223201 | + | 8.56258i | −0.0138959 | + | 0.533083i | ||||
\(259\) | 4.41433 | + | 6.07580i | 0.274293 | + | 0.377532i | ||||
\(260\) | −0.631069 | + | 0.999529i | −0.0391373 | + | 0.0619882i | ||||
\(261\) | −7.32517 | − | 0.382150i | −0.453417 | − | 0.0236545i | ||||
\(262\) | 1.82897 | − | 2.51736i | 0.112994 | − | 0.155523i | ||||
\(263\) | − | 26.6343i | − | 1.64234i | −0.570681 | − | 0.821172i | \(-0.693321\pi\) | ||
0.570681 | − | 0.821172i | \(-0.306679\pi\) | |||||||
\(264\) | −12.6693 | − | 8.48852i | −0.779742 | − | 0.522432i | ||||
\(265\) | 10.7198 | + | 12.8969i | 0.658510 | + | 0.792249i | ||||
\(266\) | 6.09312 | + | 4.42691i | 0.373593 | + | 0.271431i | ||||
\(267\) | −16.3942 | − | 23.8477i | −1.00331 | − | 1.45945i | ||||
\(268\) | 0.351889 | − | 0.114336i | 0.0214951 | − | 0.00698417i | ||||
\(269\) | −0.0552221 | − | 0.0760067i | −0.00336695 | − | 0.00463421i | 0.807330 | − | 0.590100i | \(-0.200912\pi\) |
−0.810697 | + | 0.585466i | \(0.800912\pi\) | |||||||
\(270\) | 13.8628 | + | 10.3505i | 0.843664 | + | 0.629914i | ||||
\(271\) | −15.6499 | + | 5.08497i | −0.950666 | + | 0.308890i | −0.742986 | − | 0.669307i | \(-0.766591\pi\) |
−0.207680 | + | 0.978197i | \(0.566591\pi\) | |||||||
\(272\) | 1.29587 | + | 0.421052i | 0.0785734 | + | 0.0255300i | ||||
\(273\) | −1.00615 | − | 3.39521i | −0.0608948 | − | 0.205488i | ||||
\(274\) | − | 15.0044i | − | 0.906451i | ||||||
\(275\) | 3.20312 | + | 16.2708i | 0.193155 | + | 0.981168i | ||||
\(276\) | −1.71468 | − | 1.31540i | −0.103212 | − | 0.0791777i | ||||
\(277\) | −1.04104 | − | 0.756358i | −0.0625498 | − | 0.0454451i | 0.556071 | − | 0.831135i | \(-0.312308\pi\) |
−0.618621 | + | 0.785690i | \(0.712308\pi\) | |||||||
\(278\) | 0.384534 | − | 1.18347i | 0.0230628 | − | 0.0709801i | ||||
\(279\) | −6.98116 | + | 4.53597i | −0.417951 | + | 0.271562i | ||||
\(280\) | 1.22839 | − | 4.83083i | 0.0734106 | − | 0.288697i | ||||
\(281\) | −9.81270 | + | 7.12934i | −0.585376 | + | 0.425301i | −0.840658 | − | 0.541566i | \(-0.817832\pi\) |
0.255282 | + | 0.966867i | \(0.417832\pi\) | |||||||
\(282\) | −0.962330 | − | 0.340650i | −0.0573059 | − | 0.0202854i | ||||
\(283\) | 6.04941 | − | 18.6182i | 0.359600 | − | 1.10673i | −0.593694 | − | 0.804691i | \(-0.702331\pi\) |
0.953294 | − | 0.302044i | \(-0.0976689\pi\) | |||||||
\(284\) | −0.0846633 | + | 0.116529i | −0.00502384 | + | 0.00691472i | ||||
\(285\) | 23.3118 | − | 0.911794i | 1.38087 | − | 0.0540100i | ||||
\(286\) | −10.1602 | − | 6.43024i | −0.600785 | − | 0.380228i | ||||
\(287\) | −7.38208 | −0.435750 | ||||||||
\(288\) | −3.42556 | − | 1.31401i | −0.201853 | − | 0.0774291i | ||||
\(289\) | 5.22348 | − | 16.0762i | 0.307264 | − | 0.945660i | ||||
\(290\) | −6.88361 | − | 4.34608i | −0.404219 | − | 0.255211i | ||||
\(291\) | 0.128774 | − | 4.94011i | 0.00754886 | − | 0.289594i | ||||
\(292\) | −2.83583 | + | 2.06035i | −0.165954 | + | 0.120573i | ||||
\(293\) | 8.83686 | − | 2.87127i | 0.516255 | − | 0.167741i | −0.0392900 | − | 0.999228i | \(-0.512510\pi\) |
0.555545 | + | 0.831486i | \(0.312510\pi\) | |||||||
\(294\) | 9.19702 | + | 13.3783i | 0.536381 | + | 0.780241i | ||||
\(295\) | −24.7355 | + | 1.61390i | −1.44015 | + | 0.0939650i | ||||
\(296\) | −23.7431 | −1.38004 | ||||||||
\(297\) | −10.3255 | + | 13.7980i | −0.599145 | + | 0.800640i | ||||
\(298\) | − | 3.79866i | − | 0.220051i | ||||||
\(299\) | 11.3196 | + | 8.22419i | 0.654631 | + | 0.475617i | ||||
\(300\) | 0.763984 | + | 1.71812i | 0.0441086 | + | 0.0991958i | ||||
\(301\) | −0.861796 | − | 2.65234i | −0.0496731 | − | 0.152878i | ||||
\(302\) | 8.81850 | − | 6.40701i | 0.507447 | − | 0.368682i | ||||
\(303\) | −24.9739 | − | 0.650996i | −1.43471 | − | 0.0373987i | ||||
\(304\) | −25.1331 | + | 8.16624i | −1.44148 | + | 0.468366i | ||||
\(305\) | −6.14112 | − | 15.4061i | −0.351640 | − | 0.882149i | ||||
\(306\) | 0.496881 | − | 1.29534i | 0.0284048 | − | 0.0740496i | ||||
\(307\) | 23.0974 | 1.31824 | 0.659118 | − | 0.752039i | \(-0.270930\pi\) | ||||
0.659118 | + | 0.752039i | \(0.270930\pi\) | |||||||
\(308\) | −0.585865 | − | 0.149653i | −0.0333828 | − | 0.00852725i | ||||
\(309\) | −4.90137 | + | 6.38916i | −0.278829 | + | 0.363467i | ||||
\(310\) | −9.22017 | + | 0.601584i | −0.523670 | + | 0.0341677i | ||||
\(311\) | 14.6627 | + | 4.76420i | 0.831445 | + | 0.270153i | 0.693654 | − | 0.720309i | \(-0.256000\pi\) |
0.137791 | + | 0.990461i | \(0.456000\pi\) | |||||||
\(312\) | 10.5536 | + | 3.73582i | 0.597481 | + | 0.211499i | ||||
\(313\) | 11.3737 | + | 15.6546i | 0.642880 | + | 0.884848i | 0.998765 | − | 0.0496818i | \(-0.0158207\pi\) |
−0.355886 | + | 0.934530i | \(0.615821\pi\) | |||||||
\(314\) | 6.96040 | − | 5.05703i | 0.392798 | − | 0.285385i | ||||
\(315\) | −5.37943 | − | 1.67070i | −0.303097 | − | 0.0941333i | ||||
\(316\) | −0.463457 | − | 0.150586i | −0.0260715 | − | 0.00847114i | ||||
\(317\) | −9.38868 | − | 6.82127i | −0.527321 | − | 0.383121i | 0.292034 | − | 0.956408i | \(-0.405668\pi\) |
−0.819355 | + | 0.573287i | \(0.805668\pi\) | |||||||
\(318\) | −11.7731 | + | 15.3468i | −0.660203 | + | 0.860605i | ||||
\(319\) | 4.33671 | − | 6.85227i | 0.242809 | − | 0.383654i | ||||
\(320\) | 9.93833 | + | 11.9567i | 0.555570 | + | 0.668402i | ||||
\(321\) | −27.5611 | + | 8.16752i | −1.53831 | + | 0.455866i | ||||
\(322\) | 6.83347 | + | 2.22033i | 0.380814 | + | 0.123734i | ||||
\(323\) | −0.578124 | − | 1.77928i | −0.0321677 | − | 0.0990019i | ||||
\(324\) | −0.793951 | + | 1.78553i | −0.0441084 | + | 0.0991959i | ||||
\(325\) | −5.23449 | − | 10.9911i | −0.290357 | − | 0.609675i | ||||
\(326\) | −6.92346 | − | 21.3082i | −0.383455 | − | 1.18015i | ||||
\(327\) | −17.0991 | − | 24.8730i | −0.945581 | − | 1.37548i | ||||
\(328\) | 13.7179 | − | 18.8811i | 0.757446 | − | 1.04253i | ||||
\(329\) | 0.332376 | 0.0183245 | ||||||||
\(330\) | −17.4851 | + | 7.75224i | −0.962522 | + | 0.426746i | ||||
\(331\) | 4.08935 | 0.224771 | 0.112385 | − | 0.993665i | \(-0.464151\pi\) | ||||
0.112385 | + | 0.993665i | \(0.464151\pi\) | |||||||
\(332\) | 0.0566151 | − | 0.0779240i | 0.00310716 | − | 0.00427663i | ||||
\(333\) | −1.39787 | + | 26.7949i | −0.0766030 | + | 1.46835i | ||||
\(334\) | 8.43405 | + | 25.9573i | 0.461490 | + | 1.42032i | ||||
\(335\) | −0.939061 | + | 3.69299i | −0.0513064 | + | 0.201769i | ||||
\(336\) | 6.37846 | + | 0.166267i | 0.347974 | + | 0.00907063i | ||||
\(337\) | 5.91989 | + | 18.2196i | 0.322477 | + | 0.992482i | 0.972567 | + | 0.232625i | \(0.0747314\pi\) |
−0.650089 | + | 0.759858i | \(0.725269\pi\) | |||||||
\(338\) | −10.0146 | − | 3.25395i | −0.544724 | − | 0.176991i | ||||
\(339\) | 0.0594334 | + | 0.200556i | 0.00322798 | + | 0.0108927i | ||||
\(340\) | 0.115960 | − | 0.0963846i | 0.00628879 | − | 0.00522719i | ||||
\(341\) | −0.589286 | − | 9.18515i | −0.0319116 | − | 0.497404i | ||||
\(342\) | 6.97043 | + | 25.9893i | 0.376918 | + | 1.40534i | ||||
\(343\) | −9.03167 | − | 6.56189i | −0.487664 | − | 0.354309i | ||||
\(344\) | 8.38532 | + | 2.72456i | 0.452106 | + | 0.146898i | ||||
\(345\) | 20.8824 | − | 7.69973i | 1.12427 | − | 0.414539i | ||||
\(346\) | −5.87828 | + | 4.27082i | −0.316018 | + | 0.229601i | ||||
\(347\) | 6.87069 | + | 9.45670i | 0.368838 | + | 0.507662i | 0.952585 | − | 0.304274i | \(-0.0984138\pi\) |
−0.583747 | + | 0.811936i | \(0.698414\pi\) | |||||||
\(348\) | 0.306831 | − | 0.866790i | 0.0164478 | − | 0.0464648i | ||||
\(349\) | 8.60838 | + | 2.79703i | 0.460796 | + | 0.149722i | 0.530210 | − | 0.847866i | \(-0.322113\pi\) |
−0.0694142 | + | 0.997588i | \(0.522113\pi\) | |||||||
\(350\) | −4.30062 | − | 4.53728i | −0.229878 | − | 0.242528i | ||||
\(351\) | 4.83734 | − | 11.6902i | 0.258198 | − | 0.623975i | ||||
\(352\) | 3.12213 | − | 2.58936i | 0.166410 | − | 0.138013i | ||||
\(353\) | −9.10247 | −0.484476 | −0.242238 | − | 0.970217i | \(-0.577881\pi\) | ||||
−0.242238 | + | 0.970217i | \(0.577881\pi\) | |||||||
\(354\) | −8.12323 | − | 27.4116i | −0.431745 | − | 1.45691i | ||||
\(355\) | −0.549279 | − | 1.37796i | −0.0291527 | − | 0.0731347i | ||||
\(356\) | 3.45012 | − | 1.12101i | 0.182856 | − | 0.0594136i | ||||
\(357\) | −0.0117708 | + | 0.451559i | −0.000622977 | + | 0.0238990i | ||||
\(358\) | −17.3612 | + | 12.6136i | −0.917566 | + | 0.666651i | ||||
\(359\) | 1.38757 | + | 4.27051i | 0.0732334 | + | 0.225389i | 0.980973 | − | 0.194145i | \(-0.0621933\pi\) |
−0.907739 | + | 0.419534i | \(0.862193\pi\) | |||||||
\(360\) | 14.2696 | − | 10.6543i | 0.752074 | − | 0.561532i | ||||
\(361\) | 13.9837 | + | 10.1597i | 0.735983 | + | 0.534723i | ||||
\(362\) | 20.0870i | 1.05575i | ||||||||
\(363\) | −7.70333 | − | 17.4258i | −0.404320 | − | 0.914618i | ||||
\(364\) | 0.443901 | 0.0232667 | ||||||||
\(365\) | −2.35040 | − | 36.0233i | −0.123025 | − | 1.88555i | ||||
\(366\) | 15.7631 | − | 10.8365i | 0.823952 | − | 0.566431i | ||||
\(367\) | −8.72302 | + | 2.83428i | −0.455338 | + | 0.147948i | −0.527701 | − | 0.849430i | \(-0.676946\pi\) |
0.0723634 | + | 0.997378i | \(0.476946\pi\) | |||||||
\(368\) | −20.3962 | + | 14.8187i | −1.06323 | + | 0.772480i | ||||
\(369\) | −20.5003 | − | 16.5928i | −1.06720 | − | 0.863785i | ||||
\(370\) | −15.8976 | + | 25.1797i | −0.826476 | + | 1.30903i | ||||
\(371\) | 1.94609 | − | 5.98946i | 0.101036 | − | 0.310957i | ||||
\(372\) | −0.296524 | − | 1.00061i | −0.0153741 | − | 0.0518793i | ||||
\(373\) | −31.6743 | −1.64003 | −0.820016 | − | 0.572340i | \(-0.806036\pi\) | ||||
−0.820016 | + | 0.572340i | \(0.806036\pi\) | |||||||
\(374\) | 0.979138 | + | 1.18060i | 0.0506300 | + | 0.0610473i | ||||
\(375\) | −19.1624 | − | 2.79344i | −0.989541 | − | 0.144253i | ||||
\(376\) | −0.617645 | + | 0.850116i | −0.0318526 | + | 0.0438414i | ||||
\(377\) | −1.83962 | + | 5.66177i | −0.0947453 | + | 0.291596i | ||||
\(378\) | 0.507427 | − | 6.47699i | 0.0260992 | − | 0.333140i | ||||
\(379\) | 7.52965 | − | 5.47061i | 0.386772 | − | 0.281006i | −0.377359 | − | 0.926067i | \(-0.623168\pi\) |
0.764131 | + | 0.645061i | \(0.223168\pi\) | |||||||
\(380\) | −0.720709 | + | 2.83429i | −0.0369716 | + | 0.145396i | ||||
\(381\) | 3.21098 | − | 9.07096i | 0.164504 | − | 0.464719i | ||||
\(382\) | 2.28764 | − | 7.04063i | 0.117046 | − | 0.360230i | ||||
\(383\) | 21.7551 | + | 15.8060i | 1.11164 | + | 0.807651i | 0.982920 | − | 0.184031i | \(-0.0589146\pi\) |
0.128715 | + | 0.991682i | \(0.458915\pi\) | |||||||
\(384\) | −13.4935 | + | 17.5894i | −0.688588 | + | 0.897606i | ||||
\(385\) | 4.52438 | − | 4.27908i | 0.230584 | − | 0.218082i | ||||
\(386\) | 19.8158i | 1.00860i | ||||||||
\(387\) | 3.56844 | − | 9.30271i | 0.181394 | − | 0.472883i | ||||
\(388\) | 0.589158 | + | 0.191429i | 0.0299100 | + | 0.00971833i | ||||
\(389\) | 10.8590 | − | 3.52831i | 0.550575 | − | 0.178893i | −0.0205011 | − | 0.999790i | \(-0.506526\pi\) |
0.571076 | + | 0.820897i | \(0.306526\pi\) | |||||||
\(390\) | 11.0282 | − | 8.69078i | 0.558435 | − | 0.440075i | ||||
\(391\) | −1.04908 | − | 1.44394i | −0.0530544 | − | 0.0730231i | ||||
\(392\) | 15.8932 | − | 5.16402i | 0.802729 | − | 0.260822i | ||||
\(393\) | −2.98271 | + | 2.05048i | −0.150458 | + | 0.103433i | ||||
\(394\) | 0.106626 | + | 0.0774680i | 0.00537172 | + | 0.00390278i | ||||
\(395\) | 3.85949 | − | 3.20797i | 0.194192 | − | 0.161411i | ||||
\(396\) | −1.29060 | − | 1.73245i | −0.0648549 | − | 0.0870587i | ||||
\(397\) | 13.2971i | 0.667363i | 0.942686 | + | 0.333681i | \(0.108291\pi\) | ||||
−0.942686 | + | 0.333681i | \(0.891709\pi\) | |||||||
\(398\) | −22.5357 | + | 31.0178i | −1.12961 | + | 1.55478i | ||||
\(399\) | −4.96308 | − | 7.21949i | −0.248465 | − | 0.361427i | ||||
\(400\) | 21.7495 | − | 2.85030i | 1.08748 | − | 0.142515i | ||||
\(401\) | 12.7867 | + | 17.5994i | 0.638538 | + | 0.878872i | 0.998537 | − | 0.0540808i | \(-0.0172229\pi\) |
−0.359999 | + | 0.932953i | \(0.617223\pi\) | |||||||
\(402\) | −4.39345 | − | 0.114524i | −0.219125 | − | 0.00571195i | ||||
\(403\) | 2.08797 | + | 6.42610i | 0.104009 | + | 0.320107i | ||||
\(404\) | 0.967738 | − | 2.97839i | 0.0481468 | − | 0.148181i | ||||
\(405\) | −11.1836 | − | 16.7310i | −0.555720 | − | 0.831370i | ||||
\(406\) | 3.05708i | 0.151720i | ||||||||
\(407\) | −25.0650 | − | 15.8633i | −1.24243 | − | 0.786315i | ||||
\(408\) | −1.13308 | − | 0.869227i | −0.0560957 | − | 0.0430331i | ||||
\(409\) | −11.1044 | + | 15.2839i | −0.549078 | + | 0.755740i | −0.989887 | − | 0.141860i | \(-0.954692\pi\) |
0.440809 | + | 0.897601i | \(0.354692\pi\) | |||||||
\(410\) | −10.8384 | − | 27.1901i | −0.535272 | − | 1.34282i | ||||
\(411\) | −5.82418 | + | 16.4532i | −0.287286 | + | 0.811576i | ||||
\(412\) | −0.593331 | − | 0.816651i | −0.0292313 | − | 0.0402335i | ||||
\(413\) | 5.47144 | + | 7.53079i | 0.269232 | + | 0.370566i | ||||
\(414\) | 13.9862 | + | 21.5256i | 0.687382 | + | 1.05793i | ||||
\(415\) | 0.367308 | + | 0.921456i | 0.0180304 | + | 0.0452325i | ||||
\(416\) | −1.75024 | + | 2.40899i | −0.0858124 | + | 0.118111i | ||||
\(417\) | −0.881046 | + | 1.14848i | −0.0431450 | + | 0.0562415i | ||||
\(418\) | −28.8222 | − | 7.36231i | −1.40974 | − | 0.360102i | ||||
\(419\) | 22.2396i | 1.08648i | 0.839579 | + | 0.543238i | \(0.182802\pi\) | ||||
−0.839579 | + | 0.543238i | \(0.817198\pi\) | |||||||
\(420\) | 0.392398 | − | 0.587040i | 0.0191471 | − | 0.0286446i | ||||
\(421\) | −5.65642 | + | 17.4087i | −0.275677 | + | 0.848446i | 0.713363 | + | 0.700795i | \(0.247171\pi\) |
−0.989039 | + | 0.147651i | \(0.952829\pi\) | |||||||
\(422\) | −10.8444 | − | 33.3758i | −0.527899 | − | 1.62471i | ||||
\(423\) | 0.923021 | + | 0.747084i | 0.0448788 | + | 0.0363245i | ||||
\(424\) | 11.7028 | + | 16.1076i | 0.568340 | + | 0.782253i | ||||
\(425\) | 0.201785 | + | 1.53974i | 0.00978800 | + | 0.0746885i | ||||
\(426\) | 1.40990 | − | 0.969244i | 0.0683098 | − | 0.0469600i | ||||
\(427\) | −3.66078 | + | 5.03863i | −0.177157 | + | 0.243836i | ||||
\(428\) | − | 3.60342i | − | 0.174178i | ||||||
\(429\) | 8.64523 | + | 10.9949i | 0.417395 | + | 0.530841i | ||||
\(430\) | 8.50394 | − | 7.06840i | 0.410097 | − | 0.340869i | ||||
\(431\) | −18.6351 | − | 13.5392i | −0.897623 | − | 0.652161i | 0.0402314 | − | 0.999190i | \(-0.487190\pi\) |
−0.937854 | + | 0.347029i | \(0.887190\pi\) | |||||||
\(432\) | 17.3395 | + | 14.7987i | 0.834248 | + | 0.712001i | ||||
\(433\) | −22.8557 | + | 7.42627i | −1.09837 | + | 0.356884i | −0.801477 | − | 0.598026i | \(-0.795952\pi\) |
−0.296898 | + | 0.954909i | \(0.595952\pi\) | |||||||
\(434\) | 2.03948 | + | 2.80711i | 0.0978984 | + | 0.134746i | ||||
\(435\) | 5.86127 | + | 7.43769i | 0.281026 | + | 0.356610i | ||||
\(436\) | 3.59846 | − | 1.16921i | 0.172335 | − | 0.0559951i | ||||
\(437\) | 32.9218 | + | 10.6969i | 1.57486 | + | 0.511704i | ||||
\(438\) | 39.9207 | − | 11.8302i | 1.90748 | − | 0.565269i | ||||
\(439\) | − | 22.8635i | − | 1.09121i | −0.838041 | − | 0.545607i | \(-0.816299\pi\) | ||
0.838041 | − | 0.545607i | \(-0.183701\pi\) | |||||||
\(440\) | 2.53704 | + | 19.5237i | 0.120949 | + | 0.930755i | ||||
\(441\) | −4.89206 | − | 18.2401i | −0.232955 | − | 0.868574i | ||||
\(442\) | −0.910936 | − | 0.661834i | −0.0433288 | − | 0.0314802i | ||||
\(443\) | −2.61128 | + | 8.03669i | −0.124066 | + | 0.381835i | −0.993730 | − | 0.111809i | \(-0.964335\pi\) |
0.869664 | + | 0.493644i | \(0.164335\pi\) | |||||||
\(444\) | −3.17065 | − | 1.12236i | −0.150472 | − | 0.0532649i | ||||
\(445\) | −9.20710 | + | 36.2082i | −0.436458 | + | 1.71643i | ||||
\(446\) | 24.3329 | − | 17.6789i | 1.15219 | − | 0.837118i | ||||
\(447\) | −1.47450 | + | 4.16545i | −0.0697417 | + | 0.197019i | ||||
\(448\) | 1.80423 | − | 5.55284i | 0.0852418 | − | 0.262347i | ||||
\(449\) | 12.3658 | − | 17.0201i | 0.583581 | − | 0.803230i | −0.410502 | − | 0.911860i | \(-0.634646\pi\) |
0.994082 | + | 0.108630i | \(0.0346464\pi\) | |||||||
\(450\) | −1.74451 | − | 22.2668i | −0.0822369 | − | 1.04967i | ||||
\(451\) | 27.0966 | − | 10.7671i | 1.27593 | − | 0.507003i | ||||
\(452\) | −0.0262214 | −0.00123335 | ||||||||
\(453\) | −12.1569 | + | 3.60262i | −0.571183 | + | 0.169266i | ||||
\(454\) | 0.296960 | − | 0.913950i | 0.0139370 | − | 0.0428938i | ||||
\(455\) | −2.44062 | + | 3.86562i | −0.114418 | + | 0.181223i | ||||
\(456\) | 27.6880 | + | 0.721744i | 1.29661 | + | 0.0337988i | ||||
\(457\) | 23.4701 | − | 17.0520i | 1.09789 | − | 0.797660i | 0.117172 | − | 0.993112i | \(-0.462617\pi\) |
0.980713 | + | 0.195451i | \(0.0626172\pi\) | |||||||
\(458\) | 26.2490 | − | 8.52881i | 1.22653 | − | 0.398525i | ||||
\(459\) | −1.04766 | + | 1.22754i | −0.0489007 | + | 0.0572967i | ||||
\(460\) | 0.181650 | + | 2.78406i | 0.00846950 | + | 0.129808i | ||||
\(461\) | −16.9353 | −0.788757 | −0.394378 | − | 0.918948i | \(-0.629040\pi\) | ||||
−0.394378 | + | 0.918948i | \(0.629040\pi\) | |||||||
\(462\) | 5.96701 | + | 3.99793i | 0.277610 | + | 0.186001i | ||||
\(463\) | − | 11.4918i | − | 0.534068i | −0.963687 | − | 0.267034i | \(-0.913956\pi\) | ||
0.963687 | − | 0.267034i | \(-0.0860437\pi\) | |||||||
\(464\) | −8.67805 | − | 6.30497i | −0.402868 | − | 0.292701i | ||||
\(465\) | 10.3439 | + | 2.91927i | 0.479689 | + | 0.135378i | ||||
\(466\) | 6.35488 | + | 19.5583i | 0.294384 | + | 0.906021i | ||||
\(467\) | 25.5366 | − | 18.5534i | 1.18169 | − | 0.858550i | 0.189331 | − | 0.981913i | \(-0.439368\pi\) |
0.992362 | + | 0.123363i | \(0.0393680\pi\) | |||||||
\(468\) | 1.23273 | + | 0.997761i | 0.0569830 | + | 0.0461215i | ||||
\(469\) | 1.36091 | − | 0.442187i | 0.0628410 | − | 0.0204183i | ||||
\(470\) | 0.487997 | + | 1.22423i | 0.0225096 | + | 0.0564693i | ||||
\(471\) | −9.59543 | + | 2.84354i | −0.442134 | + | 0.131023i | ||||
\(472\) | −29.4289 | −1.35457 | ||||||||
\(473\) | 7.03186 | + | 8.47868i | 0.323325 | + | 0.389850i | ||||
\(474\) | 4.59264 | + | 3.52319i | 0.210947 | + | 0.161826i | ||||
\(475\) | −20.7192 | − | 21.8594i | −0.950664 | − | 1.00298i | ||||
\(476\) | −0.0538530 | − | 0.0174979i | −0.00246835 | − | 0.000802014i | ||||
\(477\) | 18.8669 | − | 12.2587i | 0.863858 | − | 0.561288i | ||||
\(478\) | −8.09587 | − | 11.1430i | −0.370297 | − | 0.509670i | ||||
\(479\) | 6.97638 | − | 5.06864i | 0.318759 | − | 0.231592i | −0.416887 | − | 0.908958i | \(-0.636879\pi\) |
0.735646 | + | 0.677366i | \(0.236879\pi\) | |||||||
\(480\) | 1.63862 | + | 4.44410i | 0.0747926 | + | 0.202845i | ||||
\(481\) | 20.7103 | + | 6.72918i | 0.944308 | + | 0.306824i | ||||
\(482\) | −12.3848 | − | 8.99810i | −0.564113 | − | 0.409852i | ||||
\(483\) | −6.63143 | − | 5.08722i | −0.301741 | − | 0.231477i | ||||
\(484\) | 2.36875 | − | 0.305197i | 0.107670 | − | 0.0138726i | ||||
\(485\) | −4.90628 | + | 4.07806i | −0.222783 | + | 0.185175i | ||||
\(486\) | 15.9675 | − | 16.8463i | 0.724302 | − | 0.764164i | ||||
\(487\) | −34.7245 | − | 11.2827i | −1.57352 | − | 0.511266i | −0.613140 | − | 0.789974i | \(-0.710094\pi\) |
−0.960376 | + | 0.278708i | \(0.910094\pi\) | |||||||
\(488\) | −6.08454 | − | 18.7263i | −0.275434 | − | 0.847700i | ||||
\(489\) | −0.679126 | + | 26.0531i | −0.0307111 | + | 1.17816i | ||||
\(490\) | 5.16511 | − | 20.3125i | 0.233336 | − | 0.917625i | ||||
\(491\) | 11.5791 | + | 35.6367i | 0.522556 | + | 1.60826i | 0.769099 | + | 0.639129i | \(0.220705\pi\) |
−0.246543 | + | 0.969132i | \(0.579295\pi\) | |||||||
\(492\) | 2.72442 | − | 1.87292i | 0.122826 | − | 0.0844376i | ||||
\(493\) | 0.446356 | − | 0.614357i | 0.0201029 | − | 0.0276692i | ||||
\(494\) | 21.8382 | 0.982546 | ||||||||
\(495\) | 22.1825 | − | 1.71368i | 0.997029 | − | 0.0770242i | ||||
\(496\) | −12.1747 | −0.546661 | ||||||||
\(497\) | −0.327430 | + | 0.450669i | −0.0146872 | + | 0.0202153i | ||||
\(498\) | −0.942813 | + | 0.648142i | −0.0422484 | + | 0.0290439i | ||||
\(499\) | 0.669241 | + | 2.05971i | 0.0299593 | + | 0.0922054i | 0.964918 | − | 0.262551i | \(-0.0845638\pi\) |
−0.934959 | + | 0.354756i | \(0.884564\pi\) | |||||||
\(500\) | 1.01825 | − | 2.20360i | 0.0455373 | − | 0.0985481i | ||||
\(501\) | 0.827300 | − | 31.7375i | 0.0369611 | − | 1.41792i | ||||
\(502\) | 1.33269 | + | 4.10159i | 0.0594807 | + | 0.183063i | ||||
\(503\) | −27.3239 | − | 8.87809i | −1.21831 | − | 0.395854i | −0.371847 | − | 0.928294i | \(-0.621275\pi\) |
−0.846468 | + | 0.532440i | \(0.821275\pi\) | |||||||
\(504\) | −6.24388 | − | 2.39510i | −0.278125 | − | 0.106686i | ||||
\(505\) | 20.6160 | + | 24.8029i | 0.917398 | + | 1.10371i | ||||
\(506\) | −28.3214 | + | 1.81700i | −1.25904 | + | 0.0807754i | ||||
\(507\) | 9.71853 | + | 7.45545i | 0.431615 | + | 0.331108i | ||||
\(508\) | 0.975859 | + | 0.709003i | 0.0432967 | + | 0.0314569i | ||||
\(509\) | −19.0581 | − | 6.19235i | −0.844736 | − | 0.274471i | −0.145496 | − | 0.989359i | \(-0.546478\pi\) |
−0.699239 | + | 0.714888i | \(0.746478\pi\) | |||||||
\(510\) | −1.68049 | + | 0.619628i | −0.0744134 | + | 0.0274376i | ||||
\(511\) | −10.9674 | + | 7.96829i | −0.485170 | + | 0.352496i | ||||
\(512\) | 10.5376 | + | 14.5037i | 0.465700 | + | 0.640981i | ||||
\(513\) | 2.44464 | − | 31.2044i | 0.107934 | − | 1.37771i | ||||
\(514\) | −13.9055 | − | 4.51816i | −0.613344 | − | 0.199288i | ||||
\(515\) | 10.3738 | − | 0.676857i | 0.457126 | − | 0.0298259i | ||||
\(516\) | 0.990981 | + | 0.760220i | 0.0436255 | + | 0.0334668i | ||||
\(517\) | −1.22002 | + | 0.484785i | −0.0536563 | + | 0.0213208i | ||||
\(518\) | 11.1825 | 0.491333 | ||||||||
\(519\) | 8.10364 | − | 2.40146i | 0.355710 | − | 0.105412i | ||||
\(520\) | −5.35173 | − | 13.4258i | −0.234689 | − | 0.588758i | ||||
\(521\) | −14.8418 | + | 4.82239i | −0.650231 | + | 0.211273i | −0.615516 | − | 0.788125i | \(-0.711052\pi\) |
−0.0347148 | + | 0.999397i | \(0.511052\pi\) | |||||||
\(522\) | −6.87143 | + | 8.48963i | −0.300754 | + | 0.371581i | ||||
\(523\) | 18.0675 | − | 13.1268i | 0.790037 | − | 0.573995i | −0.117938 | − | 0.993021i | \(-0.537628\pi\) |
0.907974 | + | 0.419026i | \(0.137628\pi\) | |||||||
\(524\) | −0.140209 | − | 0.431520i | −0.00612507 | − | 0.0188510i | ||||
\(525\) | 2.95466 | + | 6.64473i | 0.128952 | + | 0.290000i | ||||
\(526\) | −32.0844 | − | 23.3107i | −1.39895 | − | 1.01639i | ||||
\(527\) | − | 0.861902i | − | 0.0375450i | ||||||
\(528\) | −23.6553 | + | 8.69298i | −1.02946 | + | 0.378313i | ||||
\(529\) | 10.0240 | 0.435827 | ||||||||
\(530\) | 24.9180 | − | 1.62581i | 1.08237 | − | 0.0706208i | ||||
\(531\) | −1.73263 | + | 33.2115i | −0.0751896 | + | 1.44126i | ||||
\(532\) | 1.04447 | − | 0.339369i | 0.0452835 | − | 0.0147135i | ||||
\(533\) | −17.3169 | + | 12.5815i | −0.750078 | + | 0.544964i | ||||
\(534\) | −43.0759 | − | 1.12286i | −1.86408 | − | 0.0485909i | ||||
\(535\) | 31.3796 | + | 19.8121i | 1.35666 | + | 0.856550i | ||||
\(536\) | −1.39797 | + | 4.30250i | −0.0603830 | + | 0.185840i | ||||
\(537\) | 23.9336 | − | 7.09256i | 1.03281 | − | 0.306067i | ||||
\(538\) | −0.139891 | −0.00603112 | ||||||||
\(539\) | 20.2283 | + | 5.16709i | 0.871295 | + | 0.222562i | ||||
\(540\) | 2.40920 | − | 0.748237i | 0.103675 | − | 0.0321990i | ||||
\(541\) | −4.61175 | + | 6.34754i | −0.198275 | + | 0.272902i | −0.896564 | − | 0.442914i | \(-0.853945\pi\) |
0.698289 | + | 0.715815i | \(0.253945\pi\) | |||||||
\(542\) | −7.57152 | + | 23.3028i | −0.325225 | + | 1.00094i | ||||
\(543\) | 7.79705 | − | 22.0265i | 0.334604 | − | 0.945248i | ||||
\(544\) | 0.307293 | − | 0.223261i | 0.0131751 | − | 0.00957225i | ||||
\(545\) | −9.60296 | + | 37.7649i | −0.411346 | + | 1.61767i | ||||
\(546\) | −4.97055 | − | 1.75950i | −0.212720 | − | 0.0752997i | ||||
\(547\) | 9.75347 | − | 30.0181i | 0.417028 | − | 1.28348i | −0.493396 | − | 0.869805i | \(-0.664245\pi\) |
0.910424 | − | 0.413676i | \(-0.135755\pi\) | |||||||
\(548\) | −1.77004 | − | 1.28601i | −0.0756126 | − | 0.0549357i | ||||
\(549\) | −21.4915 | + | 5.76410i | −0.917234 | + | 0.246006i | ||||
\(550\) | 22.4037 | + | 10.3819i | 0.955296 | + | 0.442685i | ||||
\(551\) | 14.7282i | 0.627442i | ||||||||
\(552\) | 25.3346 | − | 7.50772i | 1.07831 | − | 0.319550i | ||||
\(553\) | −1.79239 | − | 0.582383i | −0.0762202 | − | 0.0247655i | ||||
\(554\) | −1.82226 | + | 0.592087i | −0.0774203 | + | 0.0251554i | ||||
\(555\) | 27.2064 | − | 21.4400i | 1.15485 | − | 0.910078i | ||||
\(556\) | −0.106654 | − | 0.146797i | −0.00452315 | − | 0.00622558i | ||||
\(557\) | −37.1728 | + | 12.0782i | −1.57506 | + | 0.511769i | −0.960779 | − | 0.277316i | \(-0.910555\pi\) |
−0.614284 | + | 0.789085i | \(0.710555\pi\) | |||||||
\(558\) | −0.645838 | + | 12.3796i | −0.0273405 | + | 0.524071i | ||||
\(559\) | −6.54205 | − | 4.75308i | −0.276699 | − | 0.201034i | ||||
\(560\) | −5.26541 | − | 6.33478i | −0.222504 | − | 0.267693i | ||||
\(561\) | −0.615414 | − | 1.67466i | −0.0259828 | − | 0.0707042i | ||||
\(562\) | 18.0603i | 0.761829i | ||||||||
\(563\) | 5.84141 | − | 8.04001i | 0.246186 | − | 0.338846i | −0.667985 | − | 0.744175i | \(-0.732843\pi\) |
0.914171 | + | 0.405329i | \(0.132843\pi\) | |||||||
\(564\) | −0.122666 | + | 0.0843275i | −0.00516517 | + | 0.00355083i | ||||
\(565\) | 0.144168 | − | 0.228343i | 0.00606521 | − | 0.00960648i | ||||
\(566\) | −17.1334 | − | 23.5821i | −0.720171 | − | 0.991230i | ||||
\(567\) | −3.07056 | + | 6.90542i | −0.128951 | + | 0.290000i | ||||
\(568\) | −0.544219 | − | 1.67493i | −0.0228349 | − | 0.0702786i | ||||
\(569\) | 11.6643 | − | 35.8991i | 0.488994 | − | 1.50497i | −0.337119 | − | 0.941462i | \(-0.609452\pi\) |
0.826112 | − | 0.563506i | \(-0.190548\pi\) | |||||||
\(570\) | 19.3044 | − | 28.8800i | 0.808573 | − | 1.20965i | ||||
\(571\) | 19.5186i | 0.816829i | 0.912797 | + | 0.408414i | \(0.133918\pi\) | ||||
−0.912797 | + | 0.408414i | \(0.866082\pi\) | |||||||
\(572\) | −1.62938 | + | 0.647450i | −0.0681279 | + | 0.0270712i | ||||
\(573\) | −5.24144 | + | 6.83246i | −0.218964 | + | 0.285430i | ||||
\(574\) | −6.46088 | + | 8.89264i | −0.269672 | + | 0.371172i | ||||
\(575\) | −25.2432 | − | 13.7253i | −1.05271 | − | 0.572383i | ||||
\(576\) | 17.4916 | − | 11.3651i | 0.728817 | − | 0.473545i | ||||
\(577\) | −0.640516 | − | 0.881595i | −0.0266650 | − | 0.0367013i | 0.795476 | − | 0.605985i | \(-0.207221\pi\) |
−0.822141 | + | 0.569283i | \(0.807221\pi\) | |||||||
\(578\) | −14.7942 | − | 20.3624i | −0.615357 | − | 0.846966i | ||||
\(579\) | 7.69177 | − | 21.7291i | 0.319659 | − | 0.903030i | ||||
\(580\) | −1.10268 | + | 0.439549i | −0.0457865 | + | 0.0182513i | ||||
\(581\) | 0.218956 | − | 0.301366i | 0.00908381 | − | 0.0125028i | ||||
\(582\) | −5.83828 | − | 4.47877i | −0.242005 | − | 0.185651i | ||||
\(583\) | 1.59258 | + | 24.8233i | 0.0659578 | + | 1.02808i | ||||
\(584\) | − | 42.8586i | − | 1.77350i | ||||||
\(585\) | −15.4665 | + | 5.24917i | −0.639461 | + | 0.217026i | ||||
\(586\) | 4.27532 | − | 13.1581i | 0.176612 | − | 0.543556i | ||||
\(587\) | 3.49714 | + | 10.7631i | 0.144342 | + | 0.444240i | 0.996926 | − | 0.0783509i | \(-0.0249655\pi\) |
−0.852583 | + | 0.522591i | \(0.824965\pi\) | |||||||
\(588\) | 2.36648 | + | 0.0616872i | 0.0975922 | + | 0.00254394i | ||||
\(589\) | 9.82568 | + | 13.5239i | 0.404860 | + | 0.557242i | ||||
\(590\) | −19.7046 | + | 31.2095i | −0.811227 | + | 1.28487i | ||||
\(591\) | −0.0868506 | − | 0.126336i | −0.00357256 | − | 0.00519678i | ||||
\(592\) | −23.0631 | + | 31.7436i | −0.947886 | + | 1.30465i | ||||
\(593\) | 11.8491i | 0.486583i | 0.969953 | + | 0.243292i | \(0.0782272\pi\) | ||||
−0.969953 | + | 0.243292i | \(0.921773\pi\) | |||||||
\(594\) | 7.58442 | + | 24.5145i | 0.311193 | + | 1.00584i | ||||
\(595\) | 0.448467 | − | 0.372762i | 0.0183853 | − | 0.0152817i | ||||
\(596\) | −0.448121 | − | 0.325579i | −0.0183558 | − | 0.0133362i | ||||
\(597\) | 36.7517 | − | 25.2652i | 1.50415 | − | 1.03403i | ||||
\(598\) | 19.8141 | − | 6.43800i | 0.810261 | − | 0.263270i | ||||
\(599\) | 1.06761 | + | 1.46944i | 0.0436214 | + | 0.0600397i | 0.830271 | − | 0.557361i | \(-0.188186\pi\) |
−0.786649 | + | 0.617400i | \(0.788186\pi\) | |||||||
\(600\) | −22.4858 | − | 4.79061i | −0.917978 | − | 0.195576i | ||||
\(601\) | −1.91562 | + | 0.622424i | −0.0781399 | + | 0.0253892i | −0.347826 | − | 0.937559i | \(-0.613080\pi\) |
0.269686 | + | 0.962948i | \(0.413080\pi\) | |||||||
\(602\) | −3.94933 | − | 1.28321i | −0.160963 | − | 0.0522999i | ||||
\(603\) | 4.77321 | + | 1.83096i | 0.194380 | + | 0.0745626i | ||||
\(604\) | − | 1.58944i | − | 0.0646734i | ||||||
\(605\) | −10.3659 | + | 22.3058i | −0.421435 | + | 0.906859i | ||||
\(606\) | −22.6417 | + | 29.5145i | −0.919756 | + | 1.19894i | ||||
\(607\) | −19.2387 | − | 13.9777i | −0.780874 | − | 0.567338i | 0.124367 | − | 0.992236i | \(-0.460310\pi\) |
−0.905241 | + | 0.424898i | \(0.860310\pi\) | |||||||
\(608\) | −2.27648 | + | 7.00628i | −0.0923234 | + | 0.284142i | ||||
\(609\) | 1.18665 | − | 3.35226i | 0.0480854 | − | 0.135840i | ||||
\(610\) | −23.9333 | − | 6.08583i | −0.969033 | − | 0.246408i | ||||
\(611\) | 0.779688 | − | 0.566476i | 0.0315428 | − | 0.0229172i | ||||
\(612\) | −0.110222 | − | 0.169638i | −0.00445544 | − | 0.00685721i | ||||
\(613\) | −6.14878 | + | 18.9240i | −0.248347 | + | 0.764333i | 0.746721 | + | 0.665137i | \(0.231627\pi\) |
−0.995068 | + | 0.0991959i | \(0.968373\pi\) | |||||||
\(614\) | 20.2151 | − | 27.8237i | 0.815815 | − | 1.12287i | ||||
\(615\) | 1.33072 | + | 34.0226i | 0.0536599 | + | 1.37192i | ||||
\(616\) | 5.69080 | − | 4.71971i | 0.229289 | − | 0.190162i | ||||
\(617\) | −7.42907 | −0.299083 | −0.149542 | − | 0.988755i | \(-0.547780\pi\) | ||||
−0.149542 | + | 0.988755i | \(0.547780\pi\) | |||||||
\(618\) | 3.40681 | + | 11.4962i | 0.137042 | + | 0.462445i | ||||
\(619\) | −3.02156 | + | 9.29941i | −0.121447 | + | 0.373775i | −0.993237 | − | 0.116105i | \(-0.962959\pi\) |
0.871790 | + | 0.489879i | \(0.162959\pi\) | |||||||
\(620\) | −0.719282 | + | 1.13925i | −0.0288871 | + | 0.0457533i | ||||
\(621\) | −6.98114 | − | 29.0330i | −0.280144 | − | 1.16505i | ||||
\(622\) | 18.5720 | − | 13.4934i | 0.744671 | − | 0.541035i | ||||
\(623\) | 13.3432 | − | 4.33545i | 0.534582 | − | 0.173696i | ||||
\(624\) | 15.2460 | − | 10.4809i | 0.610328 | − | 0.419574i | ||||
\(625\) | 13.5912 | + | 20.9829i | 0.543647 | + | 0.839314i | ||||
\(626\) | 28.8123 | 1.15157 | ||||||||
\(627\) | 28.7474 | + | 19.2609i | 1.14806 | + | 0.769208i | ||||
\(628\) | − | 1.25454i | − | 0.0500615i | ||||||
\(629\) | −2.24727 | − | 1.63273i | −0.0896043 | − | 0.0651014i | ||||
\(630\) | −6.72071 | + | 5.01799i | −0.267760 | + | 0.199921i | ||||
\(631\) | −11.8841 | − | 36.5754i | −0.473098 | − | 1.45604i | −0.848506 | − | 0.529185i | \(-0.822498\pi\) |
0.375409 | − | 0.926859i | \(-0.377502\pi\) | |||||||
\(632\) | 4.82031 | − | 3.50216i | 0.191742 | − | 0.139309i | ||||
\(633\) | −1.06374 | + | 40.8078i | −0.0422798 | + | 1.62196i | ||||
\(634\) | −16.4342 | + | 5.33978i | −0.652684 | + | 0.212070i | ||||
\(635\) | −11.5396 | + | 4.59988i | −0.457935 | + | 0.182541i | ||||
\(636\) | 0.801372 | + | 2.70421i | 0.0317765 | + | 0.107229i | ||||
\(637\) | −15.3267 | −0.607265 | ||||||||
\(638\) | −4.45889 | − | 11.2213i | −0.176529 | − | 0.444256i | ||||
\(639\) | −1.92226 | + | 0.515557i | −0.0760434 | + | 0.0203951i | ||||
\(640\) | 28.5593 | − | 1.86339i | 1.12890 | − | 0.0736571i | ||||
\(641\) | 35.1825 | + | 11.4315i | 1.38962 | + | 0.451516i | 0.905821 | − | 0.423660i | \(-0.139255\pi\) |
0.483804 | + | 0.875177i | \(0.339255\pi\) | |||||||
\(642\) | −14.2830 | + | 40.3491i | −0.563704 | + | 1.59245i | ||||
\(643\) | 11.1695 | + | 15.3735i | 0.440482 | + | 0.606271i | 0.970319 | − | 0.241828i | \(-0.0777470\pi\) |
−0.529837 | + | 0.848099i | \(0.677747\pi\) | |||||||
\(644\) | 0.847617 | − | 0.615830i | 0.0334008 | − | 0.0242671i | ||||
\(645\) | −12.0687 | + | 4.44997i | −0.475207 | + | 0.175217i | ||||
\(646\) | −2.64935 | − | 0.860826i | −0.104237 | − | 0.0338688i | ||||
\(647\) | 3.08779 | + | 2.24341i | 0.121394 | + | 0.0881975i | 0.646825 | − | 0.762638i | \(-0.276096\pi\) |
−0.525432 | + | 0.850836i | \(0.676096\pi\) | |||||||
\(648\) | −11.9560 | − | 20.6857i | −0.469677 | − | 0.812612i | ||||
\(649\) | −31.0674 | − | 19.6621i | −1.21950 | − | 0.771806i | ||||
\(650\) | −17.8214 | − | 3.31391i | −0.699014 | − | 0.129982i | ||||
\(651\) | −1.14679 | − | 3.86981i | −0.0449462 | − | 0.151670i | ||||
\(652\) | −3.10709 | − | 1.00955i | −0.121683 | − | 0.0395372i | ||||
\(653\) | 9.63447 | + | 29.6518i | 0.377026 | + | 1.16037i | 0.942102 | + | 0.335327i | \(0.108847\pi\) |
−0.565076 | + | 0.825039i | \(0.691153\pi\) | |||||||
\(654\) | −44.9280 | − | 1.17114i | −1.75682 | − | 0.0457951i | ||||
\(655\) | 4.52869 | + | 1.15157i | 0.176950 | + | 0.0449954i | ||||
\(656\) | −11.9183 | − | 36.6807i | −0.465330 | − | 1.43214i | ||||
\(657\) | −48.3673 | − | 2.52330i | −1.88699 | − | 0.0984432i | ||||
\(658\) | 0.290899 | − | 0.400389i | 0.0113404 | − | 0.0156088i | ||||
\(659\) | −25.0775 | −0.976880 | −0.488440 | − | 0.872598i | \(-0.662434\pi\) | ||||
−0.488440 | + | 0.872598i | \(0.662434\pi\) | |||||||
\(660\) | −0.584109 | + | 2.72712i | −0.0227364 | + | 0.106153i | ||||
\(661\) | 15.8866 | 0.617918 | 0.308959 | − | 0.951075i | \(-0.400019\pi\) | ||||
0.308959 | + | 0.951075i | \(0.400019\pi\) | |||||||
\(662\) | 3.57905 | − | 4.92614i | 0.139104 | − | 0.191460i | ||||
\(663\) | 0.741992 | + | 1.07933i | 0.0288166 | + | 0.0419177i | ||||
\(664\) | 0.363924 | + | 1.12004i | 0.0141230 | + | 0.0434661i | ||||
\(665\) | −2.78730 | + | 10.9614i | −0.108087 | + | 0.425066i | ||||
\(666\) | 31.0544 | + | 25.1351i | 1.20333 | + | 0.973966i | ||||
\(667\) | 4.34194 | + | 13.3631i | 0.168121 | + | 0.517422i | ||||
\(668\) | 3.78501 | + | 1.22982i | 0.146446 | + | 0.0475833i | ||||
\(669\) | −33.5446 | + | 9.94071i | −1.29691 | + | 0.384330i | ||||
\(670\) | 3.62679 | + | 4.36336i | 0.140115 | + | 0.168571i | ||||
\(671\) | 6.08816 | − | 23.8342i | 0.235031 | − | 0.920108i | ||||
\(672\) | 1.08264 | − | 1.41127i | 0.0417638 | − | 0.0544410i | ||||
\(673\) | 24.0483 | + | 17.4721i | 0.926995 | + | 0.673501i | 0.945255 | − | 0.326332i | \(-0.105813\pi\) |
−0.0182602 | + | 0.999833i | \(0.505813\pi\) | |||||||
\(674\) | 27.1289 | + | 8.81472i | 1.04497 | + | 0.339530i | ||||
\(675\) | −6.73021 | + | 25.0939i | −0.259046 | + | 0.965865i | ||||
\(676\) | −1.24220 | + | 0.902514i | −0.0477771 | + | 0.0347121i | ||||
\(677\) | −16.0277 | − | 22.0602i | −0.615995 | − | 0.847844i | 0.381059 | − | 0.924551i | \(-0.375559\pi\) |
−0.997054 | + | 0.0767069i | \(0.975559\pi\) | |||||||
\(678\) | 0.293612 | + | 0.103934i | 0.0112761 | + | 0.00399157i | ||||
\(679\) | 2.27853 | + | 0.740340i | 0.0874421 | + | 0.0284116i | ||||
\(680\) | 0.120036 | + | 1.83973i | 0.00460318 | + | 0.0705506i | ||||
\(681\) | −0.680396 | + | 0.886928i | −0.0260728 | + | 0.0339872i | ||||
\(682\) | −11.5804 | − | 7.32908i | −0.443437 | − | 0.280645i | ||||
\(683\) | 15.5577 | 0.595300 | 0.297650 | − | 0.954675i | \(-0.403797\pi\) | ||||
0.297650 | + | 0.954675i | \(0.403797\pi\) | |||||||
\(684\) | 3.66333 | + | 1.40522i | 0.140071 | + | 0.0537301i | ||||
\(685\) | 20.9309 | − | 8.34341i | 0.799728 | − | 0.318785i | ||||
\(686\) | −15.8093 | + | 5.13674i | −0.603600 | + | 0.196122i | ||||
\(687\) | −32.0940 | − | 0.836596i | −1.22446 | − | 0.0319181i | ||||
\(688\) | 11.7878 | − | 8.56433i | 0.449405 | − | 0.326512i | ||||
\(689\) | −5.64284 | − | 17.3669i | −0.214975 | − | 0.661625i | ||||
\(690\) | 9.00124 | − | 31.8944i | 0.342671 | − | 1.21420i | ||||
\(691\) | −14.9402 | − | 10.8547i | −0.568353 | − | 0.412933i | 0.266153 | − | 0.963931i | \(-0.414247\pi\) |
−0.834507 | + | 0.550998i | \(0.814247\pi\) | |||||||
\(692\) | 1.05950i | 0.0402760i | ||||||||
\(693\) | −4.99130 | − | 6.70013i | −0.189604 | − | 0.254517i | ||||
\(694\) | 17.4051 | 0.660688 | ||||||||
\(695\) | 1.86475 | − | 0.121668i | 0.0707340 | − | 0.00461515i | ||||
\(696\) | 6.36894 | + | 9.26451i | 0.241414 | + | 0.351170i | ||||
\(697\) | 2.59678 | − | 0.843746i | 0.0983602 | − | 0.0319592i | ||||
\(698\) | 10.9035 | − | 7.92189i | 0.412705 | − | 0.299848i | ||||
\(699\) | 0.623353 | − | 23.9135i | 0.0235774 | − | 0.904492i | ||||
\(700\) | −0.903856 | + | 0.118451i | −0.0341626 | + | 0.00447703i | ||||
\(701\) | −13.1164 | + | 40.3682i | −0.495401 | + | 1.52469i | 0.320930 | + | 0.947103i | \(0.396005\pi\) |
−0.816331 | + | 0.577584i | \(0.803995\pi\) | |||||||
\(702\) | −9.84858 | − | 16.0586i | −0.371711 | − | 0.606091i | ||||
\(703\) | 53.8744 | 2.03191 | ||||||||
\(704\) | 1.47648 | + | 23.0138i | 0.0556470 | + | 0.867365i | ||||
\(705\) | −0.0599154 | − | 1.53185i | −0.00225654 | − | 0.0576930i | ||||
\(706\) | −7.96659 | + | 10.9651i | −0.299827 | + | 0.412676i | ||||
\(707\) | 3.74267 | − | 11.5188i | 0.140758 | − | 0.433207i | ||||
\(708\) | −3.92993 | − | 1.39113i | −0.147696 | − | 0.0522821i | ||||
\(709\) | −12.3701 | + | 8.98739i | −0.464568 | + | 0.337528i | −0.795321 | − | 0.606189i | \(-0.792697\pi\) |
0.330753 | + | 0.943717i | \(0.392697\pi\) | |||||||
\(710\) | −2.14067 | − | 0.544334i | −0.0803378 | − | 0.0204285i | ||||
\(711\) | −3.66851 | − | 5.64608i | −0.137580 | − | 0.211744i | ||||
\(712\) | −13.7065 | + | 42.1842i | −0.513672 | + | 1.58092i | ||||
\(713\) | 12.9019 | + | 9.37379i | 0.483181 | + | 0.351051i | ||||
\(714\) | 0.533658 | + | 0.409389i | 0.0199717 | + | 0.0153210i | ||||
\(715\) | 3.32036 | − | 17.7489i | 0.124174 | − | 0.663771i | ||||
\(716\) | 3.12916i | 0.116942i | ||||||||
\(717\) | 4.55226 | + | 15.3615i | 0.170007 | + | 0.573684i | ||||
\(718\) | 6.35880 | + | 2.06610i | 0.237308 | + | 0.0771061i | ||||
\(719\) | 20.6602 | − | 6.71290i | 0.770494 | − | 0.250349i | 0.102718 | − | 0.994711i | \(-0.467246\pi\) |
0.667777 | + | 0.744362i | \(0.267246\pi\) | |||||||
\(720\) | −0.383513 | − | 29.4271i | −0.0142927 | − | 1.09668i | ||||
\(721\) | −2.29467 | − | 3.15835i | −0.0854581 | − | 0.117623i | ||||
\(722\) | 24.4774 | − | 7.95318i | 0.910954 | − | 0.295987i | ||||
\(723\) | 10.0879 | + | 14.6743i | 0.375173 | + | 0.545741i | ||||
\(724\) | 2.36963 | + | 1.72163i | 0.0880665 | + | 0.0639840i | ||||
\(725\) | 2.23498 | − | 12.0192i | 0.0830050 | − | 0.446382i | ||||
\(726\) | −27.7336 | − | 5.97164i | −1.02929 | − | 0.221628i | ||||
\(727\) | − | 50.7394i | − | 1.88182i | −0.338656 | − | 0.940910i | \(-0.609972\pi\) | ||
0.338656 | − | 0.940910i | \(-0.390028\pi\) | |||||||
\(728\) | −3.19021 | + | 4.39095i | −0.118237 | + | 0.162740i | ||||
\(729\) | −24.0484 | + | 12.2749i | −0.890683 | + | 0.454626i | ||||
\(730\) | −45.4517 | − | 28.6967i | −1.68224 | − | 1.06211i | ||||
\(731\) | 0.606306 | + | 0.834508i | 0.0224250 | + | 0.0308654i | ||||
\(732\) | 0.0726834 | − | 2.78833i | 0.00268646 | − | 0.103060i | ||||
\(733\) | −6.96380 | − | 21.4324i | −0.257214 | − | 0.791623i | −0.993385 | − | 0.114828i | \(-0.963368\pi\) |
0.736171 | − | 0.676795i | \(-0.236632\pi\) | |||||||
\(734\) | −4.22024 | + | 12.9886i | −0.155772 | + | 0.479417i | ||||
\(735\) | −13.5484 | + | 20.2689i | −0.499741 | + | 0.747628i | ||||
\(736\) | 7.02803i | 0.259057i | ||||||||
\(737\) | −4.35040 | + | 3.60804i | −0.160249 | + | 0.132904i | ||||
\(738\) | −37.9302 | + | 10.1730i | −1.39623 | + | 0.374474i | ||||
\(739\) | 11.1028 | − | 15.2817i | 0.408424 | − | 0.562148i | −0.554409 | − | 0.832244i | \(-0.687056\pi\) |
0.962833 | + | 0.270097i | \(0.0870556\pi\) | |||||||
\(740\) | 1.60783 | + | 4.03353i | 0.0591051 | + | 0.148275i | ||||
\(741\) | −23.9468 | − | 8.47679i | −0.879707 | − | 0.311403i | ||||
\(742\) | −5.51181 | − | 7.58636i | −0.202345 | − | 0.278504i | ||||
\(743\) | −22.5417 | − | 31.0260i | −0.826975 | − | 1.13823i | −0.988479 | − | 0.151361i | \(-0.951634\pi\) |
0.161504 | − | 0.986872i | \(-0.448366\pi\) | |||||||
\(744\) | 12.0288 | + | 4.25803i | 0.440999 | + | 0.156107i | ||||
\(745\) | 5.29906 | − | 2.11229i | 0.194143 | − | 0.0773885i | ||||
\(746\) | −27.7217 | + | 38.1557i | −1.01496 | + | 1.39698i | ||||
\(747\) | 1.28543 | − | 0.344758i | 0.0470315 | − | 0.0126140i | ||||
\(748\) | 0.223194 | − | 0.0143193i | 0.00816078 | − | 0.000523566i | ||||
\(749\) | − | 13.9360i | − | 0.509211i | ||||||
\(750\) | −20.1362 | + | 20.6386i | −0.735270 | + | 0.753617i | ||||
\(751\) | −0.891345 | + | 2.74328i | −0.0325256 | + | 0.100104i | −0.966001 | − | 0.258537i | \(-0.916760\pi\) |
0.933476 | + | 0.358641i | \(0.116760\pi\) | |||||||
\(752\) | 0.536616 | + | 1.65154i | 0.0195684 | + | 0.0602253i | ||||
\(753\) | 0.130724 | − | 5.01492i | 0.00476385 | − | 0.182754i | ||||
\(754\) | 5.21026 | + | 7.17131i | 0.189746 | + | 0.261164i | ||||
\(755\) | 13.8413 | + | 8.73893i | 0.503736 | + | 0.318042i | ||||
\(756\) | −0.720587 | − | 0.614996i | −0.0262075 | − | 0.0223672i | ||||
\(757\) | 21.3847 | − | 29.4335i | 0.777239 | − | 1.06978i | −0.218343 | − | 0.975872i | \(-0.570065\pi\) |
0.995581 | − | 0.0939049i | \(-0.0299350\pi\) | |||||||
\(758\) | − | 13.8584i | − | 0.503358i | ||||||
\(759\) | 31.7612 | + | 9.00090i | 1.15286 | + | 0.326712i | ||||
\(760\) | −22.8564 | − | 27.4984i | −0.829090 | − | 0.997472i | ||||
\(761\) | 3.03234 | + | 2.20312i | 0.109922 | + | 0.0798631i | 0.641388 | − | 0.767216i | \(-0.278359\pi\) |
−0.531466 | + | 0.847079i | \(0.678359\pi\) | |||||||
\(762\) | −8.11682 | − | 11.8070i | −0.294042 | − | 0.427724i | ||||
\(763\) | 13.9168 | − | 4.52186i | 0.503824 | − | 0.163702i | ||||
\(764\) | −0.634499 | − | 0.873313i | −0.0229554 | − | 0.0315953i | ||||
\(765\) | 2.08327 | − | 0.0271506i | 0.0753208 | − | 0.000981631i | ||||
\(766\) | 38.0807 | − | 12.3732i | 1.37591 | − | 0.447061i | ||||
\(767\) | 25.6698 | + | 8.34063i | 0.926884 | + | 0.301163i | ||||
\(768\) | 2.53529 | + | 8.55527i | 0.0914845 | + | 0.308712i | ||||
\(769\) | − | 42.5876i | − | 1.53575i | −0.640602 | − | 0.767873i | \(-0.721315\pi\) | ||
0.640602 | − | 0.767873i | \(-0.278685\pi\) | |||||||
\(770\) | −1.19490 | − | 9.19529i | −0.0430612 | − | 0.331375i | ||||
\(771\) | 13.4943 | + | 10.3520i | 0.485987 | + | 0.372819i | ||||
\(772\) | 2.33763 | + | 1.69839i | 0.0841331 | + | 0.0611262i | ||||
\(773\) | 11.2114 | − | 34.5052i | 0.403247 | − | 1.24107i | −0.519103 | − | 0.854712i | \(-0.673734\pi\) |
0.922350 | − | 0.386355i | \(-0.126266\pi\) | |||||||
\(774\) | −8.08315 | − | 12.4405i | −0.290543 | − | 0.447164i | ||||
\(775\) | −5.96619 | − | 12.5274i | −0.214312 | − | 0.449999i | ||||
\(776\) | −6.12770 | + | 4.45204i | −0.219972 | + | 0.159819i | ||||
\(777\) | −12.2623 | − | 4.34066i | −0.439907 | − | 0.155720i | ||||
\(778\) | 5.25366 | − | 16.1691i | 0.188353 | − | 0.579690i | ||||
\(779\) | −31.1268 | + | 42.8423i | −1.11523 | + | 1.53499i | ||||
\(780\) | −0.0800194 | − | 2.04585i | −0.00286516 | − | 0.0732533i | ||||
\(781\) | 0.544542 | − | 2.13179i | 0.0194853 | − | 0.0762816i | ||||
\(782\) | −2.65758 | −0.0950348 | ||||||||
\(783\) | 10.8303 | − | 6.64211i | 0.387043 | − | 0.237370i | ||||
\(784\) | 8.53392 | − | 26.2647i | 0.304783 | − | 0.938026i | ||||
\(785\) | 10.9249 | + | 6.89760i | 0.389926 | + | 0.246186i | ||||
\(786\) | −0.140440 | + | 5.38766i | −0.00500934 | + | 0.192172i | ||||
\(787\) | −26.7006 | + | 19.3991i | −0.951772 | + | 0.691503i | −0.951225 | − | 0.308497i | \(-0.900174\pi\) |
−0.000547062 | 1.00000i | \(0.500174\pi\) | ||||||||
\(788\) | 0.0182775 | − | 0.00593873i | 0.000651110 | − | 0.000211558i | ||||
\(789\) | 26.1340 | + | 38.0155i | 0.930395 | + | 1.35339i | ||||
\(790\) | −0.486537 | − | 7.45690i | −0.0173102 | − | 0.265305i | ||||
\(791\) | −0.101410 | −0.00360571 | ||||||||
\(792\) | 26.4121 | − | 0.315544i | 0.938514 | − | 0.0112124i | ||||
\(793\) | 18.0588i | 0.641286i | ||||||||
\(794\) | 16.0181 | + | 11.6378i | 0.568459 | + | 0.413010i | ||||
\(795\) | −27.9551 | − | 7.88948i | −0.991464 | − | 0.279811i | ||||
\(796\) | 1.72760 | + | 5.31700i | 0.0612331 | + | 0.188456i | ||||
\(797\) | −3.56521 | + | 2.59027i | −0.126286 | + | 0.0917522i | −0.649135 | − | 0.760673i | \(-0.724869\pi\) |
0.522849 | + | 0.852425i | \(0.324869\pi\) | |||||||
\(798\) | −13.0405 | − | 0.339928i | −0.461630 | − | 0.0120333i | ||||
\(799\) | −0.116919 | + | 0.0379894i | −0.00413631 | + | 0.00134397i | ||||
\(800\) | 2.92095 | − | 5.37215i | 0.103271 | − | 0.189934i | ||||
\(801\) | 46.7993 | + | 17.9518i | 1.65357 | + | 0.634296i | ||||
\(802\) | 32.3918 | 1.14379 | ||||||||
\(803\) | 28.6348 | − | 45.2448i | 1.01050 | − | 1.59666i | ||||
\(804\) | −0.390068 | + | 0.508471i | −0.0137566 | + | 0.0179324i | ||||
\(805\) | 0.702522 | + | 10.7672i | 0.0247607 | + | 0.379494i | ||||
\(806\) | 9.56846 | + | 3.10898i | 0.337035 | + | 0.109509i | ||||
\(807\) | 0.153398 | + | 0.0543006i | 0.00539986 | + | 0.00191147i | ||||
\(808\) | 22.5066 | + | 30.9776i | 0.791778 | + | 1.08979i | ||||
\(809\) | −9.62140 | + | 6.99036i | −0.338270 | + | 0.245768i | −0.743932 | − | 0.668256i | \(-0.767041\pi\) |
0.405661 | + | 0.914023i | \(0.367041\pi\) | |||||||
\(810\) | −29.9427 | − | 1.17106i | −1.05208 | − | 0.0411470i | ||||
\(811\) | −16.6928 | − | 5.42382i | −0.586164 | − | 0.190456i | 0.000896229 | − | 1.00000i | \(-0.499715\pi\) |
−0.587060 | + | 0.809543i | \(0.699715\pi\) | |||||||
\(812\) | 0.360638 | + | 0.262019i | 0.0126559 | + | 0.00919506i | ||||
\(813\) | 17.3479 | − | 22.6138i | 0.608417 | − | 0.793100i | ||||
\(814\) | −41.0466 | + | 16.3102i | −1.43868 | + | 0.571674i | ||||
\(815\) | 25.8747 | − | 21.5068i | 0.906350 | − | 0.753350i | ||||
\(816\) | −2.26275 | + | 0.670549i | −0.0792120 | + | 0.0234739i | ||||
\(817\) | −19.0268 | − | 6.18218i | −0.665663 | − | 0.216287i | ||||
\(818\) | 8.69268 | + | 26.7533i | 0.303932 | + | 0.935408i | ||||
\(819\) | 4.76751 | + | 3.85878i | 0.166590 | + | 0.134837i | ||||
\(820\) | −4.13651 | − | 1.05184i | −0.144453 | − | 0.0367319i | ||||
\(821\) | −3.71059 | − | 11.4200i | −0.129500 | − | 0.398561i | 0.865194 | − | 0.501438i | \(-0.167195\pi\) |
−0.994694 | + | 0.102876i | \(0.967195\pi\) | |||||||
\(822\) | 14.7226 | + | 21.4160i | 0.513508 | + | 0.746969i | ||||
\(823\) | −13.5738 | + | 18.6827i | −0.473152 | + | 0.651238i | −0.977171 | − | 0.212454i | \(-0.931854\pi\) |
0.504019 | + | 0.863693i | \(0.331854\pi\) | |||||||
\(824\) | 12.3422 | 0.429962 | ||||||||
\(825\) | −20.5370 | − | 20.0806i | −0.715007 | − | 0.699117i | ||||
\(826\) | 13.8605 | 0.482267 | ||||||||
\(827\) | −8.83432 | + | 12.1594i | −0.307199 | + | 0.422824i | −0.934505 | − | 0.355949i | \(-0.884158\pi\) |
0.627306 | + | 0.778773i | \(0.284158\pi\) | |||||||
\(828\) | 3.73807 | + | 0.195013i | 0.129907 | + | 0.00677718i | ||||
\(829\) | 3.83757 | + | 11.8108i | 0.133284 | + | 0.410207i | 0.995319 | − | 0.0966421i | \(-0.0308102\pi\) |
−0.862035 | + | 0.506849i | \(0.830810\pi\) | |||||||
\(830\) | 1.43148 | + | 0.364001i | 0.0496875 | + | 0.0126347i | ||||
\(831\) | 2.22803 | + | 0.0580782i | 0.0772896 | + | 0.00201471i | ||||
\(832\) | −5.23149 | − | 16.1009i | −0.181369 | − | 0.558197i | ||||
\(833\) | 1.85939 | + | 0.604154i | 0.0644242 | + | 0.0209327i | ||||
\(834\) | 0.612392 | + | 2.06650i | 0.0212054 | + | 0.0715570i | ||||
\(835\) | −31.5201 | + | 26.1992i | −1.09080 | + | 0.906662i | ||||
\(836\) | −3.33884 | + | 2.76909i | −0.115476 | + | 0.0957710i | ||||
\(837\) | 5.51352 | − | 13.3243i | 0.190575 | − | 0.460554i | ||||
\(838\) | 26.7904 | + | 19.4644i | 0.925460 | + | 0.672386i | ||||
\(839\) | 2.92227 | + | 0.949502i | 0.100888 | + | 0.0327804i | 0.359026 | − | 0.933328i | \(-0.383109\pi\) |
−0.258138 | + | 0.966108i | \(0.583109\pi\) | |||||||
\(840\) | 2.98677 | + | 8.10042i | 0.103053 | + | 0.279491i | ||||
\(841\) | 18.6250 | − | 13.5318i | 0.642241 | − | 0.466615i | ||||
\(842\) | 16.0204 | + | 22.0501i | 0.552098 | + | 0.759898i | ||||
\(843\) | 7.01037 | − | 19.8041i | 0.241450 | − | 0.682091i | ||||
\(844\) | −4.86674 | − | 1.58130i | −0.167520 | − | 0.0544306i | ||||
\(845\) | −1.02956 | − | 15.7796i | −0.0354181 | − | 0.542835i | ||||
\(846\) | 1.70780 | − | 0.458038i | 0.0587152 | − | 0.0157477i | ||||
\(847\) | 9.16100 | − | 1.18033i | 0.314776 | − | 0.0405567i | ||||
\(848\) | 32.9028 | 1.12989 | ||||||||
\(849\) | 9.63401 | + | 32.5097i | 0.330638 | + | 1.11573i | ||||
\(850\) | 2.03142 | + | 1.10453i | 0.0696771 | + | 0.0378850i | ||||
\(851\) | 48.8812 | − | 15.8825i | 1.67563 | − | 0.544444i | ||||
\(852\) | 0.00650101 | − | 0.249396i | 0.000222721 | − | 0.00854416i | ||||
\(853\) | 7.35944 | − | 5.34694i | 0.251982 | − | 0.183076i | −0.454623 | − | 0.890684i | \(-0.650226\pi\) |
0.706605 | + | 0.707608i | \(0.250226\pi\) | |||||||
\(854\) | 2.86571 | + | 8.81973i | 0.0980624 | + | 0.301805i | ||||
\(855\) | −32.3786 | + | 24.1753i | −1.10732 | + | 0.826777i | ||||
\(856\) | 35.6441 | + | 25.8970i | 1.21829 | + | 0.885140i | ||||
\(857\) | 16.7404i | 0.571843i | 0.958253 | + | 0.285921i | \(0.0922996\pi\) | ||||
−0.958253 | + | 0.285921i | \(0.907700\pi\) | |||||||
\(858\) | 20.8112 | − | 0.791363i | 0.710483 | − | 0.0270167i | ||||
\(859\) | 40.7496 | 1.39036 | 0.695179 | − | 0.718836i | \(-0.255325\pi\) | ||||
0.695179 | + | 0.718836i | \(0.255325\pi\) | |||||||
\(860\) | −0.104983 | − | 1.60902i | −0.00357989 | − | 0.0548671i | ||||
\(861\) | 10.5365 | − | 7.24340i | 0.359084 | − | 0.246854i | ||||
\(862\) | −32.6194 | + | 10.5987i | −1.11102 | + | 0.360993i | ||||
\(863\) | −0.766527 | + | 0.556915i | −0.0260929 | + | 0.0189576i | −0.600755 | − | 0.799433i | \(-0.705133\pi\) |
0.574662 | + | 0.818391i | \(0.305133\pi\) | |||||||
\(864\) | 6.17867 | − | 1.48570i | 0.210203 | − | 0.0505445i | ||||
\(865\) | −9.22641 | − | 5.82524i | −0.313707 | − | 0.198064i | ||||
\(866\) | −11.0577 | + | 34.0321i | −0.375756 | + | 1.15646i | ||||
\(867\) | 8.31868 | + | 28.0711i | 0.282517 | + | 0.953346i | ||||
\(868\) | 0.505951 | 0.0171731 | ||||||||
\(869\) | 7.42857 | − | 0.476591i | 0.251997 | − | 0.0161672i | ||||
\(870\) | 14.0895 | − | 0.551082i | 0.477678 | − | 0.0186834i | ||||
\(871\) | 2.43880 | − | 3.35672i | 0.0826355 | − | 0.113738i | ||||
\(872\) | −14.2958 | + | 43.9979i | −0.484116 | + | 1.48996i | ||||
\(873\) | 4.66351 | + | 7.17743i | 0.157836 | + | 0.242919i | ||||
\(874\) | 41.6994 | − | 30.2964i | 1.41050 | − | 1.02479i | ||||
\(875\) | 3.93800 | − | 8.52230i | 0.133129 | − | 0.288106i | ||||
\(876\) | 2.02597 | − | 5.72332i | 0.0684512 | − | 0.193373i | ||||
\(877\) | 3.81384 | − | 11.7378i | 0.128784 | − | 0.396357i | −0.865787 | − | 0.500412i | \(-0.833182\pi\) |
0.994572 | + | 0.104055i | \(0.0331818\pi\) | |||||||
\(878\) | −27.5419 | − | 20.0104i | −0.929495 | − | 0.675318i | ||||
\(879\) | −9.79563 | + | 12.7691i | −0.330398 | + | 0.430689i | ||||
\(880\) | 28.5668 | + | 15.5726i | 0.962986 | + | 0.524951i | ||||
\(881\) | − | 28.7037i | − | 0.967052i | −0.875330 | − | 0.483526i | \(-0.839356\pi\) | ||
0.875330 | − | 0.483526i | \(-0.160644\pi\) | |||||||
\(882\) | −26.2540 | − | 10.0708i | −0.884019 | − | 0.339102i | ||||
\(883\) | −29.0294 | − | 9.43222i | −0.976916 | − | 0.317419i | −0.223312 | − | 0.974747i | \(-0.571687\pi\) |
−0.753605 | + | 0.657328i | \(0.771687\pi\) | |||||||
\(884\) | −0.156151 | + | 0.0507364i | −0.00525191 | + | 0.00170645i | ||||
\(885\) | 33.7216 | − | 26.5743i | 1.13354 | − | 0.893286i | ||||
\(886\) | 7.39579 | + | 10.1794i | 0.248466 | + | 0.341985i | ||||
\(887\) | −30.7573 | + | 9.99365i | −1.03273 | + | 0.335554i | −0.775869 | − | 0.630894i | \(-0.782688\pi\) |
−0.256860 | + | 0.966449i | \(0.582688\pi\) | |||||||
\(888\) | 33.8888 | − | 23.2970i | 1.13723 | − | 0.781798i | ||||
\(889\) | 3.77408 | + | 2.74203i | 0.126578 | + | 0.0919646i | ||||
\(890\) | 35.5591 | + | 42.7809i | 1.19194 | + | 1.43402i | ||||
\(891\) | 1.19891 | − | 29.8255i | 0.0401650 | − | 0.999193i | ||||
\(892\) | − | 4.38574i | − | 0.146845i | ||||||
\(893\) | 1.40147 | − | 1.92896i | 0.0468985 | − | 0.0645503i | ||||
\(894\) | 3.72730 | + | 5.42188i | 0.124660 | + | 0.181335i | ||||
\(895\) | −27.2497 | − | 17.2045i | −0.910856 | − | 0.575084i | ||||
\(896\) | −6.31726 | − | 8.69496i | −0.211045 | − | 0.290478i | ||||
\(897\) | −24.2263 | − | 0.631508i | −0.808893 | − | 0.0210854i | ||||
\(898\) | −9.68016 | − | 29.7925i | −0.323031 | − | 0.994187i | ||||
\(899\) | −2.09677 | + | 6.45320i | −0.0699312 | + | 0.215226i | ||||
\(900\) | −2.77629 | − | 1.70266i | −0.0925429 | − | 0.0567554i | ||||
\(901\) | 2.32934i | 0.0776014i | ||||||||
\(902\) | 10.7450 | − | 42.0648i | 0.357768 | − | 1.40060i | ||||
\(903\) | 3.83256 | + | 2.94010i | 0.127540 | + | 0.0978405i | ||||
\(904\) | 0.188447 | − | 0.259375i | 0.00626765 | − | 0.00862668i | ||||
\(905\) | −28.0210 | + | 11.1696i | −0.931449 | + | 0.371291i | ||||
\(906\) | −6.30009 | + | 17.7976i | −0.209307 | + | 0.591287i | ||||
\(907\) | −1.94785 | − | 2.68099i | −0.0646774 | − | 0.0890208i | 0.775453 | − | 0.631405i | \(-0.217522\pi\) |
−0.840130 | + | 0.542385i | \(0.817522\pi\) | |||||||
\(908\) | −0.0823649 | − | 0.113365i | −0.00273337 | − | 0.00376217i | ||||
\(909\) | 36.2844 | − | 23.5756i | 1.20348 | − | 0.781953i | ||||
\(910\) | 2.52056 | + | 6.32328i | 0.0835559 | + | 0.209615i | ||||
\(911\) | 20.3107 | − | 27.9553i | 0.672923 | − | 0.926200i | −0.326899 | − | 0.945059i | \(-0.606004\pi\) |
0.999822 | + | 0.0188597i | \(0.00600358\pi\) | |||||||
\(912\) | 27.8599 | − | 36.3167i | 0.922535 | − | 1.20257i | ||||
\(913\) | −0.364141 | + | 1.42555i | −0.0120513 | + | 0.0471788i | ||||
\(914\) | − | 43.1968i | − | 1.42882i | ||||||
\(915\) | 23.8820 | + | 15.9635i | 0.789513 | + | 0.527738i | ||||
\(916\) | 1.24364 | − | 3.82754i | 0.0410911 | − | 0.126465i | ||||
\(917\) | −0.542251 | − | 1.66888i | −0.0179067 | − | 0.0551112i | ||||
\(918\) | 0.561801 | + | 2.33640i | 0.0185422 | + | 0.0771127i | ||||
\(919\) | 24.5699 | + | 33.8175i | 0.810485 | + | 1.11554i | 0.991248 | + | 0.132010i | \(0.0421432\pi\) |
−0.180763 | + | 0.983527i | \(0.557857\pi\) | |||||||
\(920\) | −28.8447 | − | 18.2116i | −0.950982 | − | 0.600418i | ||||
\(921\) | −32.9672 | + | 22.6635i | −1.08630 | + | 0.746787i | ||||
\(922\) | −14.8220 | + | 20.4007i | −0.488137 | + | 0.671863i | ||||
\(923\) | 1.61523i | 0.0531659i | ||||||||
\(924\) | 0.983054 | − | 0.361258i | 0.0323401 | − | 0.0118845i | ||||
\(925\) | −43.9652 | − | 8.17536i | −1.44557 | − | 0.268804i | ||||
\(926\) | −13.8433 | − | 10.0577i | −0.454919 | − | 0.330518i | ||||
\(927\) | 0.726649 | − | 13.9286i | 0.0238663 | − | 0.457476i | ||||
\(928\) | −2.84388 | + | 0.924034i | −0.0933551 | + | 0.0303329i | ||||
\(929\) | 20.2691 | + | 27.8981i | 0.665009 | + | 0.915306i | 0.999634 | − | 0.0270453i | \(-0.00860985\pi\) |
−0.334626 | + | 0.942351i | \(0.608610\pi\) | |||||||
\(930\) | 12.5698 | − | 9.90561i | 0.412179 | − | 0.324818i | ||||
\(931\) | −36.0626 | + | 11.7175i | −1.18191 | + | 0.384024i | ||||
\(932\) | 2.85192 | + | 0.926646i | 0.0934179 | + | 0.0303533i | ||||
\(933\) | −25.6029 | + | 7.58724i | −0.838202 | + | 0.248395i | ||||
\(934\) | − | 47.0002i | − | 1.53789i | ||||||
\(935\) | −1.10245 | + | 2.02237i | −0.0360540 | + | 0.0661384i | ||||
\(936\) | −18.7289 | + | 5.02318i | −0.612175 | + | 0.164188i | ||||
\(937\) | 21.7268 | + | 15.7854i | 0.709782 | + | 0.515687i | 0.883103 | − | 0.469178i | \(-0.155450\pi\) |
−0.173321 | + | 0.984865i | \(0.555450\pi\) | |||||||
\(938\) | 0.658416 | − | 2.02640i | 0.0214980 | − | 0.0661642i | ||||
\(939\) | −31.5943 | − | 11.1839i | −1.03104 | − | 0.364973i | ||||
\(940\) | 0.186245 | + | 0.0473589i | 0.00607465 | + | 0.00154468i | ||||
\(941\) | 12.3620 | − | 8.98151i | 0.402989 | − | 0.292789i | −0.367768 | − | 0.929917i | \(-0.619878\pi\) |
0.770757 | + | 0.637129i | \(0.219878\pi\) | |||||||
\(942\) | −4.97264 | + | 14.0476i | −0.162017 | + | 0.457696i | ||||
\(943\) | −15.6117 | + | 48.0479i | −0.508387 | + | 1.56466i | ||||
\(944\) | −28.5860 | + | 39.3453i | −0.930396 | + | 1.28058i | ||||
\(945\) | 9.31744 | − | 2.89376i | 0.303096 | − | 0.0941341i | ||||
\(946\) | 16.3680 | − | 1.05011i | 0.532170 | − | 0.0341421i | ||||
\(947\) | 0.270360 | 0.00878553 | 0.00439276 | − | 0.999990i | \(-0.498602\pi\) | ||||
0.00439276 | + | 0.999990i | \(0.498602\pi\) | |||||||
\(948\) | 0.809254 | − | 0.239817i | 0.0262834 | − | 0.00778888i | ||||
\(949\) | −12.1468 | + | 37.3841i | −0.394303 | + | 1.21354i | ||||
\(950\) | −44.4661 | + | 5.82733i | −1.44267 | + | 0.189063i | ||||
\(951\) | 20.0937 | + | 0.523783i | 0.651583 | + | 0.0169848i | ||||
\(952\) | 0.560113 | − | 0.406946i | 0.0181534 | − | 0.0131892i | ||||
\(953\) | −34.7003 | + | 11.2748i | −1.12405 | + | 0.365227i | −0.811314 | − | 0.584611i | \(-0.801247\pi\) |
−0.312741 | + | 0.949839i | \(0.601247\pi\) | |||||||
\(954\) | 1.74541 | − | 33.4566i | 0.0565098 | − | 1.08320i | ||||
\(955\) | 11.0936 | − | 0.723820i | 0.358981 | − | 0.0234222i | ||||
\(956\) | −2.00841 | −0.0649566 | ||||||||
\(957\) | 0.533714 | + | 14.0356i | 0.0172525 | + | 0.453706i | ||||
\(958\) | − | 12.8401i | − | 0.414844i | ||||||
\(959\) | −6.84554 | − | 4.97358i | −0.221054 | − | 0.160605i | ||||
\(960\) | −25.9172 | − | 7.31436i | −0.836475 | − | 0.236070i | ||||
\(961\) | −7.19970 | − | 22.1584i | −0.232248 | − | 0.714787i | ||||
\(962\) | 26.2320 | − | 19.0587i | 0.845755 | − | 0.614477i | ||||
\(963\) | 31.3241 | − | 38.7009i | 1.00941 | − | 1.24712i | ||||
\(964\) | −2.12298 | + | 0.689797i | −0.0683765 | + | 0.0222169i | ||||
\(965\) | −27.6426 | + | 11.0188i | −0.889847 | + | 0.354708i | ||||
\(966\) | −11.9321 | + | 3.53600i | −0.383909 | + | 0.113769i | ||||
\(967\) | 26.8506 | 0.863457 | 0.431729 | − | 0.902004i | \(-0.357904\pi\) | ||||
0.431729 | + | 0.902004i | \(0.357904\pi\) | |||||||
\(968\) | −14.0047 | + | 25.6244i | −0.450129 | + | 0.823600i | ||||
\(969\) | 2.57102 | + | 1.97233i | 0.0825930 | + | 0.0633603i | ||||
\(970\) | 0.618498 | + | 9.47940i | 0.0198588 | + | 0.304365i | ||||
\(971\) | −23.6646 | − | 7.68908i | −0.759432 | − | 0.246754i | −0.0963971 | − | 0.995343i | \(-0.530732\pi\) |
−0.663035 | + | 0.748589i | \(0.730732\pi\) | |||||||
\(972\) | −0.618768 | − | 3.32754i | −0.0198470 | − | 0.106731i | ||||
\(973\) | −0.412479 | − | 0.567729i | −0.0132235 | − | 0.0182006i | ||||
\(974\) | −43.9827 | + | 31.9553i | −1.40930 | + | 1.02391i | ||||
\(975\) | 18.2558 | + | 10.5515i | 0.584655 | + | 0.337919i | ||||
\(976\) | −30.9466 | − | 10.0552i | −0.990577 | − | 0.321858i | ||||
\(977\) | −42.1021 | − | 30.5889i | −1.34696 | − | 0.978627i | −0.999157 | − | 0.0410613i | \(-0.986926\pi\) |
−0.347808 | − | 0.937566i | \(-0.613074\pi\) | |||||||
\(978\) | 30.7898 | + | 23.6201i | 0.984551 | + | 0.755286i | ||||
\(979\) | −42.6539 | + | 35.3753i | −1.36322 | + | 1.13060i | ||||
\(980\) | −1.95353 | − | 2.35028i | −0.0624032 | − | 0.0750769i | ||||
\(981\) | 48.8114 | + | 18.7236i | 1.55843 | + | 0.597800i | ||||
\(982\) | 53.0630 | + | 17.2412i | 1.69331 | + | 0.550190i | ||||
\(983\) | 11.4114 | + | 35.1206i | 0.363966 | + | 1.12017i | 0.950626 | + | 0.310339i | \(0.100443\pi\) |
−0.586660 | + | 0.809833i | \(0.699557\pi\) | |||||||
\(984\) | −1.05335 | + | 40.4094i | −0.0335797 | + | 1.28821i | ||||
\(985\) | −0.0487759 | + | 0.191818i | −0.00155413 | + | 0.00611182i | ||||
\(986\) | −0.349414 | − | 1.07538i | −0.0111276 | − | 0.0342472i | ||||
\(987\) | −0.474404 | + | 0.326132i | −0.0151004 | + | 0.0103809i | ||||
\(988\) | 1.87172 | − | 2.57621i | 0.0595475 | − | 0.0819601i | ||||
\(989\) | −19.0859 | −0.606895 | ||||||||
\(990\) | 17.3501 | − | 28.2215i | 0.551421 | − | 0.896937i | ||||
\(991\) | −45.1756 | −1.43505 | −0.717525 | − | 0.696533i | \(-0.754725\pi\) | ||||
−0.717525 | + | 0.696533i | \(0.754725\pi\) | |||||||
\(992\) | −1.99489 | + | 2.74573i | −0.0633379 | + | 0.0871771i | ||||
\(993\) | −5.83677 | + | 4.01252i | −0.185224 | + | 0.127334i | ||||
\(994\) | 0.256317 | + | 0.788862i | 0.00812987 | + | 0.0250212i | ||||
\(995\) | −55.8005 | − | 14.1891i | −1.76899 | − | 0.449824i | ||||
\(996\) | −0.00434728 | + | 0.166773i | −0.000137749 | + | 0.00528442i | ||||
\(997\) | −10.5742 | − | 32.5440i | −0.334888 | − | 1.03068i | −0.966777 | − | 0.255621i | \(-0.917720\pi\) |
0.631889 | − | 0.775059i | \(-0.282280\pi\) | |||||||
\(998\) | 3.06691 | + | 0.996500i | 0.0970814 | + | 0.0315437i | ||||
\(999\) | −24.2963 | − | 39.6162i | −0.768701 | − | 1.25340i |
(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 | 165.2.r.a.29.15 | yes | 80 | |
3.2 | odd | 2 | inner | 165.2.r.a.29.5 | ✓ | 80 | |
5.2 | odd | 4 | 825.2.bi.h.326.15 | 80 | |||
5.3 | odd | 4 | 825.2.bi.h.326.6 | 80 | |||
5.4 | even | 2 | inner | 165.2.r.a.29.6 | yes | 80 | |
11.8 | odd | 10 | inner | 165.2.r.a.74.16 | yes | 80 | |
15.2 | even | 4 | 825.2.bi.h.326.5 | 80 | |||
15.8 | even | 4 | 825.2.bi.h.326.16 | 80 | |||
15.14 | odd | 2 | inner | 165.2.r.a.29.16 | yes | 80 | |
33.8 | even | 10 | inner | 165.2.r.a.74.6 | yes | 80 | |
55.8 | even | 20 | 825.2.bi.h.701.16 | 80 | |||
55.19 | odd | 10 | inner | 165.2.r.a.74.5 | yes | 80 | |
55.52 | even | 20 | 825.2.bi.h.701.5 | 80 | |||
165.8 | odd | 20 | 825.2.bi.h.701.6 | 80 | |||
165.74 | even | 10 | inner | 165.2.r.a.74.15 | yes | 80 | |
165.107 | odd | 20 | 825.2.bi.h.701.15 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.2.r.a.29.5 | ✓ | 80 | 3.2 | odd | 2 | inner | |
165.2.r.a.29.6 | yes | 80 | 5.4 | even | 2 | inner | |
165.2.r.a.29.15 | yes | 80 | 1.1 | even | 1 | trivial | |
165.2.r.a.29.16 | yes | 80 | 15.14 | odd | 2 | inner | |
165.2.r.a.74.5 | yes | 80 | 55.19 | odd | 10 | inner | |
165.2.r.a.74.6 | yes | 80 | 33.8 | even | 10 | inner | |
165.2.r.a.74.15 | yes | 80 | 165.74 | even | 10 | inner | |
165.2.r.a.74.16 | yes | 80 | 11.8 | odd | 10 | inner | |
825.2.bi.h.326.5 | 80 | 15.2 | even | 4 | |||
825.2.bi.h.326.6 | 80 | 5.3 | odd | 4 | |||
825.2.bi.h.326.15 | 80 | 5.2 | odd | 4 | |||
825.2.bi.h.326.16 | 80 | 15.8 | even | 4 | |||
825.2.bi.h.701.5 | 80 | 55.52 | even | 20 | |||
825.2.bi.h.701.6 | 80 | 165.8 | odd | 20 | |||
825.2.bi.h.701.15 | 80 | 165.107 | odd | 20 | |||
825.2.bi.h.701.16 | 80 | 55.8 | even | 20 |