Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [414,2,Mod(13,414)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(414, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([22, 42]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("414.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 414 = 2 \cdot 3^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 414.m (of order \(33\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.30580664368\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 25.8 | ||
Character | \(\chi\) | \(=\) | 414.25 |
Dual form | 414.2.m.a.265.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/414\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(235\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.888835 | − | 0.458227i | 0.628502 | − | 0.324015i | ||||
\(3\) | 0.715945 | + | 1.57716i | 0.413351 | + | 0.910572i | ||||
\(4\) | 0.580057 | − | 0.814576i | 0.290028 | − | 0.407288i | ||||
\(5\) | 0.904639 | + | 3.72897i | 0.404567 | + | 1.66765i | 0.701439 | + | 0.712729i | \(0.252541\pi\) |
−0.296872 | + | 0.954917i | \(0.595944\pi\) | |||||||
\(6\) | 1.35905 | + | 1.07377i | 0.554831 | + | 0.438364i | ||||
\(7\) | −0.0597010 | − | 0.172495i | −0.0225649 | − | 0.0651969i | 0.933156 | − | 0.359472i | \(-0.117043\pi\) |
−0.955721 | + | 0.294275i | \(0.904922\pi\) | |||||||
\(8\) | 0.142315 | − | 0.989821i | 0.0503159 | − | 0.349955i | ||||
\(9\) | −1.97485 | + | 2.25831i | −0.658282 | + | 0.752771i | ||||
\(10\) | 2.51279 | + | 2.89991i | 0.794613 | + | 0.917033i | ||||
\(11\) | −0.262786 | − | 5.51655i | −0.0792329 | − | 1.66330i | −0.592872 | − | 0.805297i | \(-0.702006\pi\) |
0.513639 | − | 0.858006i | \(-0.328297\pi\) | |||||||
\(12\) | 1.70000 | + | 0.331649i | 0.490748 | + | 0.0957389i | ||||
\(13\) | −0.752105 | + | 2.17306i | −0.208596 | + | 0.602700i | −0.999963 | − | 0.00864270i | \(-0.997249\pi\) |
0.791366 | + | 0.611342i | \(0.209370\pi\) | |||||||
\(14\) | −0.132106 | − | 0.125963i | −0.0353068 | − | 0.0336650i | ||||
\(15\) | −5.23350 | + | 4.09649i | −1.35128 | + | 1.05771i | ||||
\(16\) | −0.327068 | − | 0.945001i | −0.0817670 | − | 0.236250i | ||||
\(17\) | −0.0745087 | + | 0.163151i | −0.0180710 | + | 0.0395700i | −0.918452 | − | 0.395532i | \(-0.870560\pi\) |
0.900381 | + | 0.435102i | \(0.143288\pi\) | |||||||
\(18\) | −0.720494 | + | 2.91220i | −0.169822 | + | 0.686411i | ||||
\(19\) | 1.78293 | + | 3.90407i | 0.409032 | + | 0.895655i | 0.996274 | + | 0.0862436i | \(0.0274863\pi\) |
−0.587242 | + | 0.809411i | \(0.699786\pi\) | |||||||
\(20\) | 3.56227 | + | 1.42612i | 0.796548 | + | 0.318890i | ||||
\(21\) | 0.229309 | − | 0.217654i | 0.0500392 | − | 0.0474961i | ||||
\(22\) | −2.76140 | − | 4.78289i | −0.588733 | − | 1.01972i | ||||
\(23\) | 0.209580 | − | 4.79125i | 0.0437005 | − | 0.999045i | ||||
\(24\) | 1.66299 | − | 0.484205i | 0.339457 | − | 0.0988378i | ||||
\(25\) | −8.64268 | + | 4.45561i | −1.72854 | + | 0.891122i | ||||
\(26\) | 0.327258 | + | 2.27613i | 0.0641806 | + | 0.446386i | ||||
\(27\) | −4.97560 | − | 1.49781i | −0.957554 | − | 0.288255i | ||||
\(28\) | −0.175140 | − | 0.0514257i | −0.0330983 | − | 0.00971855i | ||||
\(29\) | 0.919561 | + | 1.29134i | 0.170758 | + | 0.239796i | 0.891083 | − | 0.453841i | \(-0.149947\pi\) |
−0.720325 | + | 0.693637i | \(0.756007\pi\) | |||||||
\(30\) | −2.77460 | + | 6.03924i | −0.506570 | + | 1.10261i | ||||
\(31\) | 5.98311 | − | 2.39527i | 1.07460 | − | 0.430204i | 0.234208 | − | 0.972187i | \(-0.424750\pi\) |
0.840390 | + | 0.541982i | \(0.182326\pi\) | |||||||
\(32\) | −0.723734 | − | 0.690079i | −0.127939 | − | 0.121990i | ||||
\(33\) | 8.51233 | − | 4.36400i | 1.48181 | − | 0.759675i | ||||
\(34\) | 0.00853428 | + | 0.179157i | 0.00146362 | + | 0.0307251i | ||||
\(35\) | 0.589220 | − | 0.378669i | 0.0995963 | − | 0.0640067i | ||||
\(36\) | 0.694045 | + | 2.91861i | 0.115674 | + | 0.486436i | ||||
\(37\) | 8.67245 | − | 2.54646i | 1.42574 | − | 0.418635i | 0.524299 | − | 0.851534i | \(-0.324327\pi\) |
0.901443 | + | 0.432899i | \(0.142509\pi\) | |||||||
\(38\) | 3.37368 | + | 2.65309i | 0.547283 | + | 0.430388i | ||||
\(39\) | −3.96573 | + | 0.369606i | −0.635025 | + | 0.0591844i | ||||
\(40\) | 3.81976 | − | 0.364743i | 0.603957 | − | 0.0576709i | ||||
\(41\) | −1.39248 | − | 5.73988i | −0.217469 | − | 0.896419i | −0.971014 | − | 0.239023i | \(-0.923173\pi\) |
0.753545 | − | 0.657396i | \(-0.228342\pi\) | |||||||
\(42\) | 0.104083 | − | 0.298534i | 0.0160603 | − | 0.0460648i | ||||
\(43\) | 1.11960 | + | 0.448219i | 0.170737 | + | 0.0683528i | 0.455456 | − | 0.890258i | \(-0.349476\pi\) |
−0.284719 | + | 0.958611i | \(0.591900\pi\) | |||||||
\(44\) | −4.64608 | − | 2.98586i | −0.700423 | − | 0.450135i | ||||
\(45\) | −10.2077 | − | 5.32119i | −1.52168 | − | 0.793236i | ||||
\(46\) | −2.00920 | − | 4.35467i | −0.296240 | − | 0.642061i | ||||
\(47\) | 3.32763 | − | 5.76363i | 0.485385 | − | 0.840712i | −0.514474 | − | 0.857506i | \(-0.672013\pi\) |
0.999859 | + | 0.0167942i | \(0.00534601\pi\) | |||||||
\(48\) | 1.25625 | − | 1.19241i | 0.181324 | − | 0.172109i | ||||
\(49\) | 5.47618 | − | 4.30652i | 0.782312 | − | 0.615217i | ||||
\(50\) | −5.64024 | + | 7.92061i | −0.797650 | + | 1.12014i | ||||
\(51\) | −0.310659 | 0.000704600i | −0.0435010 | 9.86637e-5i | ||||||
\(52\) | 1.33386 | + | 1.87315i | 0.184973 | + | 0.259759i | ||||
\(53\) | −6.95356 | + | 8.02484i | −0.955145 | + | 1.10230i | 0.0395281 | + | 0.999218i | \(0.487415\pi\) |
−0.994673 | + | 0.103078i | \(0.967131\pi\) | |||||||
\(54\) | −5.10882 | + | 0.948639i | −0.695223 | + | 0.129093i | ||||
\(55\) | 20.3333 | − | 5.97041i | 2.74175 | − | 0.805049i | ||||
\(56\) | −0.179235 | + | 0.0345448i | −0.0239513 | + | 0.00461624i | ||||
\(57\) | −4.88085 | + | 5.60706i | −0.646484 | + | 0.742673i | ||||
\(58\) | 1.40907 | + | 0.726424i | 0.185019 | + | 0.0953841i | ||||
\(59\) | −1.80948 | + | 5.22815i | −0.235574 | + | 0.680647i | 0.763806 | + | 0.645446i | \(0.223328\pi\) |
−0.999380 | + | 0.0352014i | \(0.988793\pi\) | |||||||
\(60\) | 0.301177 | + | 6.63928i | 0.0388818 | + | 0.857128i | ||||
\(61\) | −3.78466 | − | 2.97629i | −0.484576 | − | 0.381074i | 0.345774 | − | 0.938318i | \(-0.387617\pi\) |
−0.830349 | + | 0.557244i | \(0.811859\pi\) | |||||||
\(62\) | 4.22042 | − | 4.87062i | 0.535994 | − | 0.618570i | ||||
\(63\) | 0.507447 | + | 0.205827i | 0.0639324 | + | 0.0259318i | ||||
\(64\) | −0.959493 | − | 0.281733i | −0.119937 | − | 0.0352166i | ||||
\(65\) | −8.78368 | − | 0.838739i | −1.08948 | − | 0.104033i | ||||
\(66\) | 5.56636 | − | 7.77945i | 0.685171 | − | 0.957584i | ||||
\(67\) | −0.525122 | + | 11.0237i | −0.0641539 | + | 1.34676i | 0.705689 | + | 0.708522i | \(0.250638\pi\) |
−0.769843 | + | 0.638234i | \(0.779665\pi\) | |||||||
\(68\) | 0.0896799 | + | 0.155330i | 0.0108753 | + | 0.0188365i | ||||
\(69\) | 7.70660 | − | 3.09973i | 0.927766 | − | 0.373164i | ||||
\(70\) | 0.350203 | − | 0.606570i | 0.0418573 | − | 0.0724990i | ||||
\(71\) | −8.71162 | − | 5.59862i | −1.03388 | − | 0.664434i | −0.0904133 | − | 0.995904i | \(-0.528819\pi\) |
−0.943465 | + | 0.331471i | \(0.892455\pi\) | |||||||
\(72\) | 1.95428 | + | 2.27614i | 0.230314 | + | 0.268245i | ||||
\(73\) | −6.29065 | − | 13.7746i | −0.736265 | − | 1.61219i | −0.789603 | − | 0.613618i | \(-0.789713\pi\) |
0.0533384 | − | 0.998576i | \(-0.483014\pi\) | |||||||
\(74\) | 6.54152 | − | 6.23733i | 0.760437 | − | 0.725075i | ||||
\(75\) | −13.2149 | − | 10.4409i | −1.52592 | − | 1.20561i | ||||
\(76\) | 4.21436 | + | 0.812251i | 0.483420 | + | 0.0931716i | ||||
\(77\) | −0.935887 | + | 0.374673i | −0.106654 | + | 0.0426979i | ||||
\(78\) | −3.35552 | + | 2.14572i | −0.379937 | + | 0.242955i | ||||
\(79\) | 7.03025 | − | 1.35497i | 0.790965 | − | 0.152446i | 0.222260 | − | 0.974987i | \(-0.428657\pi\) |
0.568705 | + | 0.822541i | \(0.307444\pi\) | |||||||
\(80\) | 3.22800 | − | 2.07451i | 0.360902 | − | 0.231937i | ||||
\(81\) | −1.19996 | − | 8.91965i | −0.133329 | − | 0.991072i | ||||
\(82\) | −3.86785 | − | 4.46374i | −0.427133 | − | 0.492938i | ||||
\(83\) | −1.75630 | + | 7.23955i | −0.192779 | + | 0.794644i | 0.790489 | + | 0.612476i | \(0.209827\pi\) |
−0.983267 | + | 0.182168i | \(0.941689\pi\) | |||||||
\(84\) | −0.0442841 | − | 0.313041i | −0.00483179 | − | 0.0341556i | ||||
\(85\) | −0.675790 | − | 0.130248i | −0.0732997 | − | 0.0141274i | ||||
\(86\) | 1.20052 | − | 0.114636i | 0.129456 | − | 0.0123615i | ||||
\(87\) | −1.37829 | + | 2.37482i | −0.147769 | + | 0.254608i | ||||
\(88\) | −5.49780 | − | 0.524976i | −0.586067 | − | 0.0559627i | ||||
\(89\) | 0.259343 | + | 1.80377i | 0.0274903 | + | 0.191199i | 0.998939 | − | 0.0460498i | \(-0.0146633\pi\) |
−0.971449 | + | 0.237249i | \(0.923754\pi\) | |||||||
\(90\) | −11.5113 | − | 0.0522173i | −1.21340 | − | 0.00550418i | ||||
\(91\) | 0.419743 | 0.0440011 | ||||||||
\(92\) | −3.78127 | − | 2.94992i | −0.394225 | − | 0.307550i | ||||
\(93\) | 8.06130 | + | 7.72141i | 0.835918 | + | 0.800673i | ||||
\(94\) | 0.316670 | − | 6.64773i | 0.0326621 | − | 0.685661i | ||||
\(95\) | −12.9453 | + | 10.1803i | −1.32816 | + | 1.04447i | ||||
\(96\) | 0.570209 | − | 1.63550i | 0.0581967 | − | 0.166923i | ||||
\(97\) | −11.2521 | + | 10.7289i | −1.14248 | + | 1.08935i | −0.147522 | + | 0.989059i | \(0.547130\pi\) |
−0.994958 | + | 0.100294i | \(0.968022\pi\) | |||||||
\(98\) | 2.89406 | − | 6.33712i | 0.292345 | − | 0.640145i | ||||
\(99\) | 12.9771 | + | 10.3009i | 1.30424 | + | 1.03528i | ||||
\(100\) | −1.38381 | + | 9.62462i | −0.138381 | + | 0.962462i | ||||
\(101\) | 3.37721 | − | 13.9210i | 0.336045 | − | 1.38520i | −0.513686 | − | 0.857978i | \(-0.671720\pi\) |
0.849731 | − | 0.527217i | \(-0.176765\pi\) | |||||||
\(102\) | −0.276448 | + | 0.141726i | −0.0273724 | + | 0.0140330i | ||||
\(103\) | 2.78602 | + | 1.43629i | 0.274515 | + | 0.141522i | 0.589987 | − | 0.807412i | \(-0.299133\pi\) |
−0.315472 | + | 0.948935i | \(0.602163\pi\) | |||||||
\(104\) | 2.04391 | + | 1.05371i | 0.200422 | + | 0.103325i | ||||
\(105\) | 1.01907 | + | 0.658186i | 0.0994509 | + | 0.0642324i | ||||
\(106\) | −2.50338 | + | 10.3191i | −0.243150 | + | 1.00228i | ||||
\(107\) | 1.80582 | − | 12.5598i | 0.174576 | − | 1.21420i | −0.694490 | − | 0.719502i | \(-0.744370\pi\) |
0.869066 | − | 0.494697i | \(-0.164721\pi\) | |||||||
\(108\) | −4.10621 | + | 3.18418i | −0.395120 | + | 0.306398i | ||||
\(109\) | −2.21633 | + | 4.85308i | −0.212286 | + | 0.464841i | −0.985581 | − | 0.169205i | \(-0.945880\pi\) |
0.773295 | + | 0.634046i | \(0.218607\pi\) | |||||||
\(110\) | 15.3372 | − | 14.6240i | 1.46234 | − | 1.39434i | ||||
\(111\) | 10.2252 | + | 11.8547i | 0.970529 | + | 1.12520i | ||||
\(112\) | −0.143481 | + | 0.112835i | −0.0135577 | + | 0.0106619i | ||||
\(113\) | 0.488131 | − | 10.2471i | 0.0459195 | − | 0.963969i | −0.851927 | − | 0.523660i | \(-0.824566\pi\) |
0.897847 | − | 0.440308i | \(-0.145131\pi\) | |||||||
\(114\) | −1.76897 | + | 7.22028i | −0.165679 | + | 0.676242i | ||||
\(115\) | 18.0560 | − | 3.55283i | 1.68373 | − | 0.331303i | ||||
\(116\) | 1.58529 | 0.147191 | ||||||||
\(117\) | −3.42217 | − | 5.98996i | −0.316380 | − | 0.553772i | ||||
\(118\) | 0.787347 | + | 5.47612i | 0.0724812 | + | 0.504118i | ||||
\(119\) | 0.0325910 | + | 0.00311206i | 0.00298761 | + | 0.000285282i | ||||
\(120\) | 3.30999 | + | 5.76322i | 0.302160 | + | 0.526108i | ||||
\(121\) | −19.4131 | + | 1.85373i | −1.76483 | + | 0.168521i | ||||
\(122\) | −4.72775 | − | 0.911199i | −0.428030 | − | 0.0824961i | ||||
\(123\) | 8.05576 | − | 6.30560i | 0.726363 | − | 0.568557i | ||||
\(124\) | 1.51941 | − | 6.26309i | 0.136447 | − | 0.562442i | ||||
\(125\) | −11.8694 | − | 13.6980i | −1.06163 | − | 1.22519i | ||||
\(126\) | 0.545353 | − | 0.0495796i | 0.0485839 | − | 0.00441690i | ||||
\(127\) | −12.7598 | + | 8.20022i | −1.13225 | + | 0.727652i | −0.966028 | − | 0.258437i | \(-0.916793\pi\) |
−0.166220 | + | 0.986089i | \(0.553156\pi\) | |||||||
\(128\) | −0.981929 | + | 0.189251i | −0.0867911 | + | 0.0167276i | ||||
\(129\) | 0.0946579 | + | 2.08668i | 0.00833417 | + | 0.183722i | ||||
\(130\) | −8.19158 | + | 3.27941i | −0.718449 | + | 0.287623i | ||||
\(131\) | 5.31078 | + | 1.02357i | 0.464005 | + | 0.0894297i | 0.415896 | − | 0.909412i | \(-0.363468\pi\) |
0.0481096 | + | 0.998842i | \(0.484680\pi\) | |||||||
\(132\) | 1.38282 | − | 9.46531i | 0.120359 | − | 0.823849i | ||||
\(133\) | 0.566989 | − | 0.540622i | 0.0491641 | − | 0.0468779i | ||||
\(134\) | 4.58459 | + | 10.0389i | 0.396048 | + | 0.867225i | ||||
\(135\) | 1.08419 | − | 19.9088i | 0.0933124 | − | 1.71348i | ||||
\(136\) | 0.150887 | + | 0.0969692i | 0.0129385 | + | 0.00831504i | ||||
\(137\) | −10.8174 | + | 18.7363i | −0.924193 | + | 1.60075i | −0.131339 | + | 0.991338i | \(0.541928\pi\) |
−0.792854 | + | 0.609412i | \(0.791406\pi\) | |||||||
\(138\) | 5.42952 | − | 6.28652i | 0.462192 | − | 0.535144i | ||||
\(139\) | −0.373823 | − | 0.647480i | −0.0317072 | − | 0.0549185i | 0.849736 | − | 0.527208i | \(-0.176761\pi\) |
−0.881444 | + | 0.472289i | \(0.843428\pi\) | |||||||
\(140\) | 0.0333267 | − | 0.699614i | 0.00281662 | − | 0.0591281i | ||||
\(141\) | 11.4726 | + | 1.12176i | 0.966163 | + | 0.0944692i | ||||
\(142\) | −10.3086 | − | 0.984355i | −0.865081 | − | 0.0826052i | ||||
\(143\) | 12.1855 | + | 3.57798i | 1.01900 | + | 0.299205i | ||||
\(144\) | 2.78002 | + | 1.12761i | 0.231668 | + | 0.0939675i | ||||
\(145\) | −3.98351 | + | 4.59721i | −0.330812 | + | 0.381778i | ||||
\(146\) | −11.9032 | − | 9.36081i | −0.985119 | − | 0.774706i | ||||
\(147\) | 10.7127 | + | 5.55357i | 0.883568 | + | 0.458051i | ||||
\(148\) | 2.95623 | − | 8.54146i | 0.243000 | − | 0.702104i | ||||
\(149\) | −8.89055 | − | 4.58340i | −0.728342 | − | 0.375486i | 0.0538291 | − | 0.998550i | \(-0.482857\pi\) |
−0.782171 | + | 0.623064i | \(0.785888\pi\) | |||||||
\(150\) | −16.5301 | − | 3.22482i | −1.34968 | − | 0.263306i | ||||
\(151\) | 5.37726 | − | 1.03638i | 0.437595 | − | 0.0843395i | 0.0343043 | − | 0.999411i | \(-0.489078\pi\) |
0.403291 | + | 0.915072i | \(0.367866\pi\) | |||||||
\(152\) | 4.11807 | − | 1.20917i | 0.334019 | − | 0.0980770i | ||||
\(153\) | −0.221304 | − | 0.490463i | −0.0178913 | − | 0.0396516i | ||||
\(154\) | −0.660165 | + | 0.761871i | −0.0531976 | + | 0.0613933i | ||||
\(155\) | 14.3445 | + | 20.1440i | 1.15217 | + | 1.61800i | ||||
\(156\) | −1.99928 | + | 3.44478i | −0.160070 | + | 0.275803i | ||||
\(157\) | −0.464952 | + | 0.652934i | −0.0371072 | + | 0.0521098i | −0.832713 | − | 0.553705i | \(-0.813213\pi\) |
0.795606 | + | 0.605815i | \(0.207153\pi\) | |||||||
\(158\) | 5.62786 | − | 4.42579i | 0.447728 | − | 0.352097i | ||||
\(159\) | −17.6348 | − | 5.22152i | −1.39853 | − | 0.414093i | ||||
\(160\) | 1.91857 | − | 3.32306i | 0.151676 | − | 0.262711i | ||||
\(161\) | −0.838977 | + | 0.249891i | −0.0661207 | + | 0.0196942i | ||||
\(162\) | −5.15379 | − | 7.37824i | −0.404920 | − | 0.579690i | ||||
\(163\) | −3.80258 | − | 2.44377i | −0.297841 | − | 0.191411i | 0.383182 | − | 0.923673i | \(-0.374828\pi\) |
−0.681023 | + | 0.732262i | \(0.738465\pi\) | |||||||
\(164\) | −5.48329 | − | 2.19518i | −0.428173 | − | 0.171415i | ||||
\(165\) | 23.9738 | + | 27.7944i | 1.86636 | + | 2.16379i | ||||
\(166\) | 1.75630 | + | 7.23955i | 0.136315 | + | 0.561898i | ||||
\(167\) | −5.65291 | + | 0.539787i | −0.437435 | + | 0.0417700i | −0.311451 | − | 0.950262i | \(-0.600815\pi\) |
−0.125984 | + | 0.992032i | \(0.540209\pi\) | |||||||
\(168\) | −0.182805 | − | 0.257950i | −0.0141037 | − | 0.0199013i | ||||
\(169\) | 6.06214 | + | 4.76732i | 0.466319 | + | 0.366717i | ||||
\(170\) | −0.660349 | + | 0.193896i | −0.0506465 | + | 0.0148711i | ||||
\(171\) | −12.3376 | − | 3.68353i | −0.943482 | − | 0.281686i | ||||
\(172\) | 1.01454 | − | 0.652005i | 0.0773579 | − | 0.0497149i | ||||
\(173\) | −0.100396 | − | 2.10758i | −0.00763298 | − | 0.160236i | −0.999466 | − | 0.0326894i | \(-0.989593\pi\) |
0.991833 | − | 0.127547i | \(-0.0407102\pi\) | |||||||
\(174\) | −0.136871 | + | 2.74240i | −0.0103762 | + | 0.207901i | ||||
\(175\) | 1.28455 | + | 1.22481i | 0.0971025 | + | 0.0925870i | ||||
\(176\) | −5.12720 | + | 2.05262i | −0.386477 | + | 0.154722i | ||||
\(177\) | −9.54110 | + | 0.889232i | −0.717153 | + | 0.0668388i | ||||
\(178\) | 1.05705 | + | 1.48442i | 0.0792292 | + | 0.111262i | ||||
\(179\) | −18.7833 | − | 5.51528i | −1.40393 | − | 0.412231i | −0.509899 | − | 0.860235i | \(-0.670317\pi\) |
−0.894032 | + | 0.448003i | \(0.852135\pi\) | |||||||
\(180\) | −10.2556 | + | 5.22836i | −0.764405 | + | 0.389699i | ||||
\(181\) | 0.589379 | + | 4.09922i | 0.0438082 | + | 0.304692i | 0.999931 | + | 0.0117272i | \(0.00373295\pi\) |
−0.956123 | + | 0.292965i | \(0.905358\pi\) | |||||||
\(182\) | 0.373083 | − | 0.192338i | 0.0276547 | − | 0.0142570i | ||||
\(183\) | 1.98447 | − | 8.09985i | 0.146696 | − | 0.598758i | ||||
\(184\) | −4.71266 | − | 0.889313i | −0.347422 | − | 0.0655610i | ||||
\(185\) | 17.3411 | + | 30.0357i | 1.27494 | + | 2.20827i | ||||
\(186\) | 10.7033 | + | 3.16917i | 0.784806 | + | 0.232375i | ||||
\(187\) | 0.919613 | + | 0.368157i | 0.0672487 | + | 0.0269223i | ||||
\(188\) | −2.76470 | − | 6.05384i | −0.201636 | − | 0.441522i | ||||
\(189\) | 0.0386829 | + | 0.947685i | 0.00281377 | + | 0.0689339i | ||||
\(190\) | −6.84134 | + | 14.9804i | −0.496323 | + | 1.08679i | ||||
\(191\) | −3.37255 | − | 9.74433i | −0.244029 | − | 0.705075i | −0.998795 | − | 0.0490809i | \(-0.984371\pi\) |
0.754766 | − | 0.655994i | \(-0.227750\pi\) | |||||||
\(192\) | −0.242607 | − | 1.71498i | −0.0175087 | − | 0.123768i | ||||
\(193\) | 16.8073 | + | 16.0258i | 1.20982 | + | 1.15356i | 0.983768 | + | 0.179445i | \(0.0574303\pi\) |
0.226052 | + | 0.974115i | \(0.427418\pi\) | |||||||
\(194\) | −5.08503 | + | 14.6922i | −0.365084 | + | 1.05484i | ||||
\(195\) | −4.96580 | − | 14.4537i | −0.355608 | − | 1.03505i | ||||
\(196\) | −0.331488 | − | 6.95879i | −0.0236777 | − | 0.497056i | ||||
\(197\) | −1.63112 | − | 1.88242i | −0.116213 | − | 0.134117i | 0.694662 | − | 0.719336i | \(-0.255554\pi\) |
−0.810875 | + | 0.585219i | \(0.801008\pi\) | |||||||
\(198\) | 16.2546 | + | 3.20936i | 1.15517 | + | 0.228079i | ||||
\(199\) | 0.967781 | − | 6.73106i | 0.0686042 | − | 0.477152i | −0.926337 | − | 0.376695i | \(-0.877060\pi\) |
0.994941 | − | 0.100457i | \(-0.0320305\pi\) | |||||||
\(200\) | 3.18028 | + | 9.18880i | 0.224879 | + | 0.649747i | ||||
\(201\) | −17.7620 | + | 7.06414i | −1.25284 | + | 0.498266i | ||||
\(202\) | −3.37721 | − | 13.9210i | −0.237620 | − | 0.979481i | ||||
\(203\) | 0.167851 | − | 0.235714i | 0.0117808 | − | 0.0165439i | ||||
\(204\) | −0.180774 | + | 0.252647i | −0.0126567 | + | 0.0176888i | ||||
\(205\) | 20.1442 | − | 10.3850i | 1.40693 | − | 0.725323i | ||||
\(206\) | 3.13446 | 0.218388 | ||||||||
\(207\) | 10.4063 | + | 9.93528i | 0.723285 | + | 0.690550i | ||||
\(208\) | 2.29954 | 0.159444 | ||||||||
\(209\) | 21.0685 | − | 10.8616i | 1.45734 | − | 0.751309i | ||||
\(210\) | 1.20738 | + | 0.118055i | 0.0833173 | + | 0.00814657i | ||||
\(211\) | −1.14668 | + | 1.61029i | −0.0789407 | + | 0.110857i | −0.852158 | − | 0.523284i | \(-0.824707\pi\) |
0.773218 | + | 0.634141i | \(0.218646\pi\) | |||||||
\(212\) | 2.50338 | + | 10.3191i | 0.171933 | + | 0.708716i | ||||
\(213\) | 2.59286 | − | 17.7479i | 0.177660 | − | 1.21607i | ||||
\(214\) | −4.15014 | − | 11.9910i | −0.283698 | − | 0.819691i | ||||
\(215\) | −0.658566 | + | 4.58043i | −0.0449138 | + | 0.312382i | ||||
\(216\) | −2.19067 | + | 4.71179i | −0.149056 | + | 0.320597i | ||||
\(217\) | −0.770370 | − | 0.889054i | −0.0522961 | − | 0.0603529i | ||||
\(218\) | 0.253860 | + | 5.32917i | 0.0171935 | + | 0.360937i | ||||
\(219\) | 17.2209 | − | 19.7832i | 1.16368 | − | 1.33682i | ||||
\(220\) | 6.93114 | − | 20.0262i | 0.467298 | − | 1.35017i | ||||
\(221\) | −0.298500 | − | 0.284619i | −0.0200793 | − | 0.0191456i | ||||
\(222\) | 14.5206 | + | 5.85142i | 0.974560 | + | 0.392722i | ||||
\(223\) | 4.80335 | + | 13.8784i | 0.321656 | + | 0.929364i | 0.983687 | + | 0.179888i | \(0.0575735\pi\) |
−0.662031 | + | 0.749476i | \(0.730305\pi\) | |||||||
\(224\) | −0.0758273 | + | 0.166039i | −0.00506643 | + | 0.0110939i | ||||
\(225\) | 7.00579 | − | 28.3170i | 0.467053 | − | 1.88780i | ||||
\(226\) | −4.26164 | − | 9.33169i | −0.283480 | − | 0.620735i | ||||
\(227\) | 25.4288 | + | 10.1801i | 1.68777 | + | 0.675680i | 0.998794 | − | 0.0491063i | \(-0.0156373\pi\) |
0.688974 | + | 0.724786i | \(0.258062\pi\) | |||||||
\(228\) | 1.73620 | + | 7.22823i | 0.114983 | + | 0.478702i | ||||
\(229\) | 8.78484 | + | 15.2158i | 0.580518 | + | 1.00549i | 0.995418 | + | 0.0956201i | \(0.0304834\pi\) |
−0.414899 | + | 0.909867i | \(0.636183\pi\) | |||||||
\(230\) | 14.4208 | − | 11.4316i | 0.950882 | − | 0.753780i | ||||
\(231\) | −1.26096 | − | 1.20780i | −0.0829651 | − | 0.0794671i | ||||
\(232\) | 1.40907 | − | 0.726424i | 0.0925097 | − | 0.0476921i | ||||
\(233\) | −0.355984 | − | 2.47592i | −0.0233213 | − | 0.162203i | 0.974833 | − | 0.222938i | \(-0.0715647\pi\) |
−0.998154 | + | 0.0607348i | \(0.980656\pi\) | |||||||
\(234\) | −5.78650 | − | 3.75596i | −0.378276 | − | 0.245535i | ||||
\(235\) | 24.5027 | + | 7.19465i | 1.59838 | + | 0.469327i | ||||
\(236\) | 3.20912 | + | 4.50659i | 0.208896 | + | 0.293354i | ||||
\(237\) | 7.17027 | + | 10.1177i | 0.465759 | + | 0.657217i | ||||
\(238\) | 0.0303940 | − | 0.0121679i | 0.00197015 | − | 0.000788730i | ||||
\(239\) | −14.7389 | − | 14.0536i | −0.953383 | − | 0.909049i | 0.0425547 | − | 0.999094i | \(-0.486450\pi\) |
−0.995938 | + | 0.0900453i | \(0.971299\pi\) | |||||||
\(240\) | 5.58290 | + | 3.60583i | 0.360375 | + | 0.232755i | ||||
\(241\) | 0.491657 | + | 10.3211i | 0.0316704 | + | 0.664844i | 0.957765 | + | 0.287552i | \(0.0928415\pi\) |
−0.926095 | + | 0.377291i | \(0.876856\pi\) | |||||||
\(242\) | −16.4056 | + | 10.5433i | −1.05459 | + | 0.677746i | ||||
\(243\) | 13.2086 | − | 8.27850i | 0.847330 | − | 0.531066i | ||||
\(244\) | −4.61973 | + | 1.35647i | −0.295748 | + | 0.0868394i | ||||
\(245\) | 21.0128 | + | 16.5247i | 1.34246 | + | 1.05572i | ||||
\(246\) | 4.27085 | − | 9.29600i | 0.272299 | − | 0.592691i | ||||
\(247\) | −9.82474 | + | 0.938149i | −0.625133 | + | 0.0596930i | ||||
\(248\) | −1.51941 | − | 6.26309i | −0.0964826 | − | 0.397707i | ||||
\(249\) | −12.6753 | + | 2.41316i | −0.803266 | + | 0.152928i | ||||
\(250\) | −16.8267 | − | 6.73641i | −1.06422 | − | 0.426048i | ||||
\(251\) | 14.8312 | + | 9.53143i | 0.936137 | + | 0.601618i | 0.917297 | − | 0.398204i | \(-0.130366\pi\) |
0.0188397 | + | 0.999823i | \(0.494003\pi\) | |||||||
\(252\) | 0.462010 | − | 0.293963i | 0.0291039 | − | 0.0185179i | ||||
\(253\) | −26.4863 | + | 0.102913i | −1.66518 | + | 0.00647006i | ||||
\(254\) | −7.58380 | + | 13.1355i | −0.475850 | + | 0.824196i | ||||
\(255\) | −0.278407 | − | 1.15908i | −0.0174345 | − | 0.0725842i | ||||
\(256\) | −0.786053 | + | 0.618159i | −0.0491283 | + | 0.0386349i | ||||
\(257\) | −2.21828 | + | 3.11514i | −0.138373 | + | 0.194317i | −0.877947 | − | 0.478757i | \(-0.841087\pi\) |
0.739575 | + | 0.673075i | \(0.235027\pi\) | |||||||
\(258\) | 1.04031 | + | 1.81134i | 0.0647668 | + | 0.112769i | ||||
\(259\) | −0.957004 | − | 1.34392i | −0.0594654 | − | 0.0835074i | ||||
\(260\) | −5.77825 | + | 6.66845i | −0.358352 | + | 0.413560i | ||||
\(261\) | −4.73225 | − | 0.473546i | −0.292919 | − | 0.0293118i | ||||
\(262\) | 5.18944 | − | 1.52376i | 0.320605 | − | 0.0941380i | ||||
\(263\) | 3.25793 | − | 0.627914i | 0.200892 | − | 0.0387188i | −0.0878122 | − | 0.996137i | \(-0.527988\pi\) |
0.288705 | + | 0.957418i | \(0.406775\pi\) | |||||||
\(264\) | −3.10815 | − | 9.04675i | −0.191293 | − | 0.556789i | ||||
\(265\) | −36.2148 | − | 18.6701i | −2.22466 | − | 1.14689i | ||||
\(266\) | 0.256232 | − | 0.740334i | 0.0157106 | − | 0.0453928i | ||||
\(267\) | −2.65916 | + | 1.70043i | −0.162738 | + | 0.104064i | ||||
\(268\) | 8.67502 | + | 6.82211i | 0.529911 | + | 0.416727i | ||||
\(269\) | −14.2264 | + | 16.4181i | −0.867398 | + | 1.00103i | 0.132553 | + | 0.991176i | \(0.457682\pi\) |
−0.999951 | + | 0.00985492i | \(0.996863\pi\) | |||||||
\(270\) | −8.15909 | − | 18.1925i | −0.496546 | − | 1.10716i | ||||
\(271\) | −13.7911 | − | 4.04944i | −0.837752 | − | 0.245986i | −0.165408 | − | 0.986225i | \(-0.552894\pi\) |
−0.672344 | + | 0.740239i | \(0.734712\pi\) | |||||||
\(272\) | 0.178548 | + | 0.0170492i | 0.0108260 | + | 0.00103376i | ||||
\(273\) | 0.300513 | + | 0.662001i | 0.0181879 | + | 0.0400661i | ||||
\(274\) | −1.02943 | + | 21.6103i | −0.0621899 | + | 1.30553i | ||||
\(275\) | 26.8508 | + | 46.5069i | 1.61916 | + | 2.80447i | ||||
\(276\) | 1.94530 | − | 8.07563i | 0.117093 | − | 0.486096i | ||||
\(277\) | 2.27998 | − | 3.94904i | 0.136991 | − | 0.237275i | −0.789365 | − | 0.613924i | \(-0.789590\pi\) |
0.926356 | + | 0.376649i | \(0.122924\pi\) | |||||||
\(278\) | −0.628960 | − | 0.404208i | −0.0377225 | − | 0.0242428i | ||||
\(279\) | −6.40644 | + | 18.2420i | −0.383543 | + | 1.09212i | ||||
\(280\) | −0.290960 | − | 0.637113i | −0.0173882 | − | 0.0380748i | ||||
\(281\) | −5.92905 | + | 5.65334i | −0.353698 | + | 0.337250i | −0.846008 | − | 0.533169i | \(-0.821001\pi\) |
0.492311 | + | 0.870419i | \(0.336152\pi\) | |||||||
\(282\) | 10.7112 | − | 4.25997i | 0.637844 | − | 0.253677i | ||||
\(283\) | −5.86211 | − | 1.12983i | −0.348466 | − | 0.0671614i | 0.0120149 | − | 0.999928i | \(-0.496175\pi\) |
−0.360481 | + | 0.932766i | \(0.617388\pi\) | |||||||
\(284\) | −9.61373 | + | 3.84876i | −0.570470 | + | 0.228382i | ||||
\(285\) | −25.3240 | − | 13.1282i | −1.50006 | − | 0.777647i | ||||
\(286\) | 12.4704 | − | 2.40347i | 0.737390 | − | 0.142120i | ||||
\(287\) | −0.906967 | + | 0.582872i | −0.0535365 | + | 0.0344059i | ||||
\(288\) | 2.98768 | − | 0.271618i | 0.176051 | − | 0.0160053i | ||||
\(289\) | 11.1116 | + | 12.8234i | 0.653622 | + | 0.754319i | ||||
\(290\) | −1.43412 | + | 5.91152i | −0.0842143 | + | 0.347136i | ||||
\(291\) | −24.9770 | − | 10.0651i | −1.46418 | − | 0.590025i | ||||
\(292\) | −14.8694 | − | 2.86584i | −0.870165 | − | 0.167711i | ||||
\(293\) | 6.50767 | − | 0.621407i | 0.380182 | − | 0.0363030i | 0.0967842 | − | 0.995305i | \(-0.469144\pi\) |
0.283398 | + | 0.959002i | \(0.408538\pi\) | |||||||
\(294\) | 12.0666 | + | 0.0273680i | 0.703739 | + | 0.00159614i | ||||
\(295\) | −21.1326 | − | 2.01791i | −1.23038 | − | 0.117487i | ||||
\(296\) | −1.28632 | − | 8.94657i | −0.0747660 | − | 0.520009i | ||||
\(297\) | −6.95526 | + | 27.8417i | −0.403585 | + | 1.61554i | ||||
\(298\) | −10.0025 | −0.579427 | ||||||||
\(299\) | 10.2541 | + | 4.05895i | 0.593008 | + | 0.234735i | ||||
\(300\) | −16.1703 | + | 4.70821i | −0.933591 | + | 0.271829i | ||||
\(301\) | 0.0104744 | − | 0.219884i | 0.000603732 | − | 0.0126739i | ||||
\(302\) | 4.30460 | − | 3.38517i | 0.247702 | − | 0.194795i | ||||
\(303\) | 24.3736 | − | 4.64031i | 1.40022 | − | 0.266579i | ||||
\(304\) | 3.10621 | − | 2.96176i | 0.178153 | − | 0.169869i | ||||
\(305\) | 7.67474 | − | 16.8053i | 0.439454 | − | 0.962271i | ||||
\(306\) | −0.421446 | − | 0.334534i | −0.0240924 | − | 0.0191240i | ||||
\(307\) | 3.92876 | − | 27.3251i | 0.224226 | − | 1.55953i | −0.497573 | − | 0.867422i | \(-0.665775\pi\) |
0.721799 | − | 0.692103i | \(-0.243316\pi\) | |||||||
\(308\) | −0.237668 | + | 0.979683i | −0.0135424 | + | 0.0558226i | ||||
\(309\) | −0.270623 | + | 5.42230i | −0.0153952 | + | 0.308464i | ||||
\(310\) | 21.9804 | + | 11.3317i | 1.24840 | + | 0.643595i | ||||
\(311\) | −4.93426 | − | 2.54379i | −0.279796 | − | 0.144245i | 0.312617 | − | 0.949879i | \(-0.398794\pi\) |
−0.592413 | + | 0.805634i | \(0.701825\pi\) | |||||||
\(312\) | −0.198538 | + | 3.97796i | −0.0112400 | + | 0.225208i | ||||
\(313\) | −2.42723 | + | 10.0052i | −0.137195 | + | 0.565525i | 0.861168 | + | 0.508321i | \(0.169734\pi\) |
−0.998363 | + | 0.0572040i | \(0.981781\pi\) | |||||||
\(314\) | −0.114074 | + | 0.793404i | −0.00643758 | + | 0.0447744i | ||||
\(315\) | −0.308466 | + | 2.07846i | −0.0173801 | + | 0.117108i | ||||
\(316\) | 2.97422 | − | 6.51264i | 0.167313 | − | 0.366364i | ||||
\(317\) | −7.76357 | + | 7.40255i | −0.436046 | + | 0.415769i | −0.876045 | − | 0.482229i | \(-0.839827\pi\) |
0.439999 | + | 0.897998i | \(0.354979\pi\) | |||||||
\(318\) | −18.0671 | + | 3.43966i | −1.01315 | + | 0.192887i | ||||
\(319\) | 6.88211 | − | 5.41215i | 0.385324 | − | 0.303022i | ||||
\(320\) | 0.182578 | − | 3.83279i | 0.0102064 | − | 0.214259i | ||||
\(321\) | 21.1016 | − | 6.14404i | 1.17778 | − | 0.342927i | ||||
\(322\) | −0.631206 | + | 0.606553i | −0.0351757 | + | 0.0338019i | ||||
\(323\) | −0.769798 | −0.0428327 | ||||||||
\(324\) | −7.96178 | − | 4.19644i | −0.442321 | − | 0.233136i | ||||
\(325\) | −3.18213 | − | 22.1322i | −0.176513 | − | 1.22767i | ||||
\(326\) | −4.49967 | − | 0.429666i | −0.249214 | − | 0.0237970i | ||||
\(327\) | −9.24084 | − | 0.0209589i | −0.511019 | − | 0.00115903i | ||||
\(328\) | −5.87963 | + | 0.561437i | −0.324648 | + | 0.0310001i | ||||
\(329\) | −1.19286 | − | 0.229905i | −0.0657644 | − | 0.0126751i | ||||
\(330\) | 34.0449 | + | 13.7192i | 1.87411 | + | 0.755217i | ||||
\(331\) | 1.24632 | − | 5.13742i | 0.0685042 | − | 0.282378i | −0.927248 | − | 0.374447i | \(-0.877833\pi\) |
0.995753 | + | 0.0920685i | \(0.0293479\pi\) | |||||||
\(332\) | 4.87841 | + | 5.62999i | 0.267738 | + | 0.308986i | ||||
\(333\) | −11.3760 | + | 24.6140i | −0.623403 | + | 1.34884i | ||||
\(334\) | −4.77716 | + | 3.07009i | −0.261394 | + | 0.167988i | ||||
\(335\) | −41.5820 | + | 8.01427i | −2.27187 | + | 0.437867i | ||||
\(336\) | −0.280683 | − | 0.145509i | −0.0153125 | − | 0.00793816i | ||||
\(337\) | −33.9120 | + | 13.5763i | −1.84731 | + | 0.739550i | −0.886241 | + | 0.463224i | \(0.846693\pi\) |
−0.961064 | + | 0.276326i | \(0.910883\pi\) | |||||||
\(338\) | 7.57276 | + | 1.45953i | 0.411904 | + | 0.0793880i | ||||
\(339\) | 16.5108 | − | 6.56652i | 0.896744 | − | 0.356644i | ||||
\(340\) | −0.498093 | + | 0.474931i | −0.0270129 | + | 0.0257568i | ||||
\(341\) | −14.7859 | − | 32.3767i | −0.800703 | − | 1.75330i | ||||
\(342\) | −12.6540 | + | 2.37938i | −0.684250 | + | 0.128662i | ||||
\(343\) | −2.14469 | − | 1.37831i | −0.115802 | − | 0.0744215i | ||||
\(344\) | 0.602993 | − | 1.04441i | 0.0325112 | − | 0.0563110i | ||||
\(345\) | 18.5305 | + | 25.9336i | 0.997648 | + | 1.39622i | ||||
\(346\) | −1.05498 | − | 1.82728i | −0.0567162 | − | 0.0982354i | ||||
\(347\) | −0.875876 | + | 18.3869i | −0.0470195 | + | 0.987061i | 0.844916 | + | 0.534899i | \(0.179650\pi\) |
−0.891936 | + | 0.452162i | \(0.850653\pi\) | |||||||
\(348\) | 1.13498 | + | 2.50026i | 0.0608415 | + | 0.134028i | ||||
\(349\) | −25.6698 | − | 2.45117i | −1.37407 | − | 0.131208i | −0.618248 | − | 0.785983i | \(-0.712157\pi\) |
−0.755824 | + | 0.654775i | \(0.772763\pi\) | |||||||
\(350\) | 1.70299 | + | 0.500043i | 0.0910287 | + | 0.0267284i | ||||
\(351\) | 6.99702 | − | 9.68577i | 0.373473 | − | 0.516988i | ||||
\(352\) | −3.61667 | + | 4.17386i | −0.192769 | + | 0.222467i | ||||
\(353\) | −7.16792 | − | 5.63691i | −0.381510 | − | 0.300023i | 0.408926 | − | 0.912568i | \(-0.365903\pi\) |
−0.790436 | + | 0.612545i | \(0.790146\pi\) | |||||||
\(354\) | −8.07300 | + | 5.16237i | −0.429075 | + | 0.274377i | ||||
\(355\) | 12.9962 | − | 37.5501i | 0.689767 | − | 1.99295i | ||||
\(356\) | 1.61974 | + | 0.835036i | 0.0858462 | + | 0.0442568i | ||||
\(357\) | 0.0184251 | + | 0.0536291i | 0.000975161 | + | 0.00283836i | ||||
\(358\) | −19.2225 | + | 3.70484i | −1.01594 | + | 0.195807i | ||||
\(359\) | 27.6602 | − | 8.12176i | 1.45985 | − | 0.428650i | 0.547064 | − | 0.837091i | \(-0.315746\pi\) |
0.912785 | + | 0.408441i | \(0.133927\pi\) | |||||||
\(360\) | −6.71973 | + | 9.34652i | −0.354161 | + | 0.492605i | ||||
\(361\) | 0.379433 | − | 0.437889i | 0.0199702 | − | 0.0230468i | ||||
\(362\) | 2.40223 | + | 3.37346i | 0.126258 | + | 0.177305i | ||||
\(363\) | −16.8223 | − | 29.2903i | −0.882943 | − | 1.53734i | ||||
\(364\) | 0.243475 | − | 0.341913i | 0.0127616 | − | 0.0179211i | ||||
\(365\) | 45.6743 | − | 35.9187i | 2.39070 | − | 1.88007i | ||||
\(366\) | −1.94770 | − | 8.10877i | −0.101808 | − | 0.423852i | ||||
\(367\) | 14.3500 | − | 24.8549i | 0.749062 | − | 1.29741i | −0.199211 | − | 0.979957i | \(-0.563838\pi\) |
0.948273 | − | 0.317457i | \(-0.102829\pi\) | |||||||
\(368\) | −4.59628 | + | 1.36901i | −0.239598 | + | 0.0713646i | ||||
\(369\) | 15.7124 | + | 8.19073i | 0.817954 | + | 0.426392i | ||||
\(370\) | 29.1765 | + | 18.7506i | 1.51682 | + | 0.974798i | ||||
\(371\) | 1.79938 | + | 0.720362i | 0.0934190 | + | 0.0373993i | ||||
\(372\) | 10.9657 | − | 2.08768i | 0.568545 | − | 0.108241i | ||||
\(373\) | −2.61336 | − | 10.7724i | −0.135315 | − | 0.557775i | −0.998592 | − | 0.0530453i | \(-0.983107\pi\) |
0.863277 | − | 0.504730i | \(-0.168408\pi\) | |||||||
\(374\) | 0.986084 | − | 0.0941596i | 0.0509892 | − | 0.00486888i | ||||
\(375\) | 13.1061 | − | 28.5269i | 0.676795 | − | 1.47312i | ||||
\(376\) | −5.23139 | − | 4.11401i | −0.269789 | − | 0.212164i | ||||
\(377\) | −3.49778 | + | 1.02704i | −0.180145 | + | 0.0528952i | ||||
\(378\) | 0.468637 | + | 0.824610i | 0.0241041 | + | 0.0424134i | ||||
\(379\) | −14.4877 | + | 9.31071i | −0.744185 | + | 0.478259i | −0.856974 | − | 0.515360i | \(-0.827658\pi\) |
0.112788 | + | 0.993619i | \(0.464022\pi\) | |||||||
\(380\) | 0.783611 | + | 16.4500i | 0.0401984 | + | 0.843868i | ||||
\(381\) | −22.0683 | − | 14.2533i | −1.13060 | − | 0.730218i | ||||
\(382\) | −7.46275 | − | 7.11572i | −0.381827 | − | 0.364072i | ||||
\(383\) | −34.8678 | + | 13.9590i | −1.78166 | + | 0.713269i | −0.786214 | + | 0.617955i | \(0.787961\pi\) |
−0.995447 | + | 0.0953147i | \(0.969614\pi\) | |||||||
\(384\) | −1.00149 | − | 1.41316i | −0.0511068 | − | 0.0721151i | ||||
\(385\) | −2.24378 | − | 3.15095i | −0.114354 | − | 0.160587i | ||||
\(386\) | 22.2824 | + | 6.54270i | 1.13414 | + | 0.333015i | ||||
\(387\) | −3.22325 | + | 1.64324i | −0.163847 | + | 0.0835305i | ||||
\(388\) | 2.21261 | + | 15.3891i | 0.112328 | + | 0.781262i | ||||
\(389\) | 3.22584 | − | 1.66304i | 0.163557 | − | 0.0843194i | −0.374505 | − | 0.927225i | \(-0.622187\pi\) |
0.538061 | + | 0.842906i | \(0.319157\pi\) | |||||||
\(390\) | −11.0369 | − | 10.5715i | −0.558873 | − | 0.535310i | ||||
\(391\) | 0.766083 | + | 0.391183i | 0.0387425 | + | 0.0197830i | ||||
\(392\) | −3.48334 | − | 6.03332i | −0.175935 | − | 0.304729i | ||||
\(393\) | 2.18790 | + | 9.10875i | 0.110365 | + | 0.459476i | ||||
\(394\) | −2.31238 | − | 0.925736i | −0.116496 | − | 0.0466379i | ||||
\(395\) | 11.4125 | + | 24.9899i | 0.574224 | + | 1.25738i | ||||
\(396\) | 15.9183 | − | 4.59570i | 0.799924 | − | 0.230943i | ||||
\(397\) | 6.18354 | − | 13.5401i | 0.310343 | − | 0.679556i | −0.688618 | − | 0.725124i | \(-0.741782\pi\) |
0.998961 | + | 0.0455676i | \(0.0145097\pi\) | |||||||
\(398\) | −2.22415 | − | 6.42627i | −0.111487 | − | 0.322120i | ||||
\(399\) | 1.25858 | + | 0.507174i | 0.0630077 | + | 0.0253905i | ||||
\(400\) | 7.03730 | + | 6.71005i | 0.351865 | + | 0.335502i | ||||
\(401\) | 1.13013 | − | 3.26528i | 0.0564358 | − | 0.163061i | −0.913259 | − | 0.407379i | \(-0.866443\pi\) |
0.969695 | + | 0.244318i | \(0.0785641\pi\) | |||||||
\(402\) | −12.5505 | + | 14.4179i | −0.625964 | + | 0.719099i | ||||
\(403\) | 0.705162 | + | 14.8032i | 0.0351266 | + | 0.737399i | ||||
\(404\) | −9.38077 | − | 10.8260i | −0.466711 | − | 0.538613i | ||||
\(405\) | 32.1756 | − | 12.5437i | 1.59882 | − | 0.623300i | ||||
\(406\) | 0.0411816 | − | 0.286425i | 0.00204381 | − | 0.0142150i | ||||
\(407\) | −16.3267 | − | 47.1728i | −0.809283 | − | 2.33827i | ||||
\(408\) | −0.0449089 | + | 0.307397i | −0.00222332 | + | 0.0152184i | ||||
\(409\) | 0.872224 | + | 3.59536i | 0.0431287 | + | 0.177779i | 0.989302 | − | 0.145881i | \(-0.0466017\pi\) |
−0.946173 | + | 0.323660i | \(0.895087\pi\) | |||||||
\(410\) | 13.1461 | − | 18.4612i | 0.649242 | − | 0.911733i | ||||
\(411\) | −37.2947 | − | 3.64659i | −1.83961 | − | 0.179873i | ||||
\(412\) | 2.78602 | − | 1.43629i | 0.137257 | − | 0.0707611i | ||||
\(413\) | 1.00986 | 0.0496918 | ||||||||
\(414\) | 13.8021 | + | 4.06241i | 0.678334 | + | 0.199656i | ||||
\(415\) | −28.5849 | −1.40318 | ||||||||
\(416\) | 2.04391 | − | 1.05371i | 0.100211 | − | 0.0516623i | ||||
\(417\) | 0.753541 | − | 1.05314i | 0.0369011 | − | 0.0515723i | ||||
\(418\) | 13.7494 | − | 19.3083i | 0.672503 | − | 0.944398i | ||||
\(419\) | −5.48202 | − | 22.5972i | −0.267814 | − | 1.10395i | −0.933747 | − | 0.357934i | \(-0.883481\pi\) |
0.665933 | − | 0.746012i | \(-0.268034\pi\) | |||||||
\(420\) | 1.12726 | − | 0.448323i | 0.0550047 | − | 0.0218759i | ||||
\(421\) | 2.52621 | + | 7.29901i | 0.123120 | + | 0.355732i | 0.989671 | − | 0.143356i | \(-0.0457895\pi\) |
−0.866551 | + | 0.499088i | \(0.833668\pi\) | |||||||
\(422\) | −0.281334 | + | 1.95672i | −0.0136951 | + | 0.0952516i | ||||
\(423\) | 6.44452 | + | 18.8971i | 0.313343 | + | 0.918810i | ||||
\(424\) | 6.95356 | + | 8.02484i | 0.337695 | + | 0.389721i | ||||
\(425\) | −0.0829839 | − | 1.74205i | −0.00402531 | − | 0.0845016i | ||||
\(426\) | −5.82793 | − | 16.9631i | −0.282364 | − | 0.821863i | ||||
\(427\) | −0.287446 | + | 0.830520i | −0.0139105 | + | 0.0401917i | ||||
\(428\) | −9.18341 | − | 8.75636i | −0.443897 | − | 0.423255i | ||||
\(429\) | 3.08109 | + | 21.7800i | 0.148756 | + | 1.05155i | ||||
\(430\) | 1.51352 | + | 4.37302i | 0.0729882 | + | 0.210886i | ||||
\(431\) | 10.9357 | − | 23.9459i | 0.526756 | − | 1.15344i | −0.440061 | − | 0.897968i | \(-0.645043\pi\) |
0.966818 | − | 0.255468i | \(-0.0822295\pi\) | |||||||
\(432\) | 0.211922 | + | 5.19183i | 0.0101961 | + | 0.249792i | ||||
\(433\) | 1.84539 | + | 4.04085i | 0.0886840 | + | 0.194191i | 0.948777 | − | 0.315946i | \(-0.102322\pi\) |
−0.860093 | + | 0.510137i | \(0.829595\pi\) | |||||||
\(434\) | −1.09212 | − | 0.437219i | −0.0524234 | − | 0.0209872i | ||||
\(435\) | −10.1025 | − | 2.99127i | −0.484378 | − | 0.143420i | ||||
\(436\) | 2.66761 | + | 4.62043i | 0.127755 | + | 0.221278i | ||||
\(437\) | 19.0790 | − | 7.72424i | 0.912674 | − | 0.369501i | ||||
\(438\) | 6.24140 | − | 25.4751i | 0.298226 | − | 1.21725i | ||||
\(439\) | 31.0953 | − | 16.0308i | 1.48410 | − | 0.765106i | 0.489810 | − | 0.871829i | \(-0.337066\pi\) |
0.994289 | + | 0.106723i | \(0.0340358\pi\) | |||||||
\(440\) | −3.01590 | − | 20.9760i | −0.143777 | − | 0.999994i | ||||
\(441\) | −1.08915 | + | 20.8716i | −0.0518644 | + | 0.993888i | ||||
\(442\) | −0.395737 | − | 0.116199i | −0.0188233 | − | 0.00552702i | ||||
\(443\) | 19.5275 | + | 27.4226i | 0.927781 | + | 1.30289i | 0.952926 | + | 0.303202i | \(0.0980557\pi\) |
−0.0251454 | + | 0.999684i | \(0.508005\pi\) | |||||||
\(444\) | 15.5877 | − | 1.45278i | 0.739760 | − | 0.0689458i | ||||
\(445\) | −6.49160 | + | 2.59884i | −0.307731 | + | 0.123197i | ||||
\(446\) | 10.6288 | + | 10.1346i | 0.503289 | + | 0.479886i | ||||
\(447\) | 0.863593 | − | 17.3032i | 0.0408466 | − | 0.818415i | ||||
\(448\) | 0.00868531 | + | 0.182327i | 0.000410342 | + | 0.00861415i | ||||
\(449\) | −7.21227 | + | 4.63505i | −0.340368 | + | 0.218741i | −0.699647 | − | 0.714489i | \(-0.746659\pi\) |
0.359278 | + | 0.933230i | \(0.383023\pi\) | |||||||
\(450\) | −6.74861 | − | 28.3794i | −0.318133 | − | 1.33782i | ||||
\(451\) | −31.2984 | + | 9.19005i | −1.47379 | + | 0.432743i | ||||
\(452\) | −8.06392 | − | 6.34154i | −0.379295 | − | 0.298281i | ||||
\(453\) | 5.48436 | + | 7.73879i | 0.257677 | + | 0.363600i | ||||
\(454\) | 27.2668 | − | 2.60366i | 1.27969 | − | 0.122196i | ||||
\(455\) | 0.379716 | + | 1.56521i | 0.0178014 | + | 0.0733782i | ||||
\(456\) | 4.85537 | + | 5.62914i | 0.227373 | + | 0.263609i | ||||
\(457\) | 1.97214 | + | 0.789524i | 0.0922527 | + | 0.0369324i | 0.417330 | − | 0.908755i | \(-0.362966\pi\) |
−0.325077 | + | 0.945688i | \(0.605390\pi\) | |||||||
\(458\) | 14.7806 | + | 9.49888i | 0.690650 | + | 0.443854i | ||||
\(459\) | 0.615096 | − | 0.700175i | 0.0287102 | − | 0.0326814i | ||||
\(460\) | 7.57947 | − | 16.7688i | 0.353395 | − | 0.781852i | ||||
\(461\) | 18.5516 | − | 32.1323i | 0.864033 | − | 1.49655i | −0.00397159 | − | 0.999992i | \(-0.501264\pi\) |
0.868004 | − | 0.496557i | \(-0.165402\pi\) | |||||||
\(462\) | −1.67423 | − | 0.495726i | −0.0778923 | − | 0.0230633i | ||||
\(463\) | −0.525970 | + | 0.413628i | −0.0244439 | + | 0.0192229i | −0.630306 | − | 0.776347i | \(-0.717071\pi\) |
0.605862 | + | 0.795570i | \(0.292828\pi\) | |||||||
\(464\) | 0.919561 | − | 1.29134i | 0.0426895 | − | 0.0599491i | ||||
\(465\) | −21.5004 | + | 37.0454i | −0.997056 | + | 1.71794i | ||||
\(466\) | −1.45094 | − | 2.03757i | −0.0672137 | − | 0.0943885i | ||||
\(467\) | 2.50009 | − | 2.88526i | 0.115690 | − | 0.133514i | −0.694950 | − | 0.719058i | \(-0.744574\pi\) |
0.810641 | + | 0.585544i | \(0.199119\pi\) | |||||||
\(468\) | −6.86433 | − | 0.686899i | −0.317304 | − | 0.0317519i | ||||
\(469\) | 1.93288 | − | 0.567543i | 0.0892519 | − | 0.0262067i | ||||
\(470\) | 25.0757 | − | 4.83294i | 1.15665 | − | 0.222927i | ||||
\(471\) | −1.36266 | − | 0.265838i | −0.0627880 | − | 0.0122492i | ||||
\(472\) | 4.91742 | + | 2.53511i | 0.226343 | + | 0.116688i | ||||
\(473\) | 2.17841 | − | 6.29411i | 0.100163 | − | 0.289403i | ||||
\(474\) | 11.0094 | + | 5.70739i | 0.505679 | + | 0.262149i | ||||
\(475\) | −32.8043 | − | 25.7976i | −1.50516 | − | 1.18367i | ||||
\(476\) | 0.0214396 | − | 0.0247427i | 0.000982684 | − | 0.00113408i | ||||
\(477\) | −4.39039 | − | 31.5511i | −0.201022 | − | 1.44463i | ||||
\(478\) | −19.5402 | − | 5.73752i | −0.893748 | − | 0.262428i | ||||
\(479\) | −3.97030 | − | 0.379118i | −0.181408 | − | 0.0173224i | 0.00395670 | − | 0.999992i | \(-0.498741\pi\) |
−0.185365 | + | 0.982670i | \(0.559347\pi\) | |||||||
\(480\) | 6.61457 | + | 0.646757i | 0.301912 | + | 0.0295203i | ||||
\(481\) | −0.988968 | + | 20.7610i | −0.0450930 | + | 0.946620i | ||||
\(482\) | 5.16643 | + | 8.94851i | 0.235324 | + | 0.407594i | ||||
\(483\) | −0.994778 | − | 1.14429i | −0.0452640 | − | 0.0520670i | ||||
\(484\) | −9.75070 | + | 16.8887i | −0.443214 | + | 0.767669i | ||||
\(485\) | −50.1868 | − | 32.2531i | −2.27886 | − | 1.46454i | ||||
\(486\) | 7.94682 | − | 13.4107i | 0.360475 | − | 0.608324i | ||||
\(487\) | −6.71077 | − | 14.6945i | −0.304094 | − | 0.665873i | 0.694466 | − | 0.719526i | \(-0.255641\pi\) |
−0.998560 | + | 0.0536529i | \(0.982914\pi\) | |||||||
\(488\) | −3.48461 | + | 3.32256i | −0.157741 | + | 0.150405i | ||||
\(489\) | 1.13177 | − | 7.74687i | 0.0511805 | − | 0.350326i | ||||
\(490\) | 26.2490 | + | 5.05908i | 1.18581 | + | 0.228546i | ||||
\(491\) | −38.4202 | + | 15.3811i | −1.73388 | + | 0.694140i | −0.733990 | + | 0.679160i | \(0.762344\pi\) |
−0.999888 | + | 0.0149804i | \(0.995231\pi\) | |||||||
\(492\) | −0.463592 | − | 10.2196i | −0.0209003 | − | 0.460737i | ||||
\(493\) | −0.279200 | + | 0.0538113i | −0.0125745 | + | 0.00242354i | ||||
\(494\) | −8.30269 | + | 5.33582i | −0.373556 | + | 0.240070i | ||||
\(495\) | −26.6722 | + | 57.7097i | −1.19882 | + | 2.59386i | ||||
\(496\) | −4.22042 | − | 4.87062i | −0.189502 | − | 0.218697i | ||||
\(497\) | −0.445639 | + | 1.83695i | −0.0199897 | + | 0.0823985i | ||||
\(498\) | −10.1605 | + | 7.95307i | −0.455303 | + | 0.356386i | ||||
\(499\) | 0.820923 | + | 0.158220i | 0.0367495 | + | 0.00708289i | 0.207593 | − | 0.978215i | \(-0.433437\pi\) |
−0.170843 | + | 0.985298i | \(0.554649\pi\) | |||||||
\(500\) | −18.0430 | + | 1.72290i | −0.806907 | + | 0.0770503i | ||||
\(501\) | −4.89850 | − | 8.52906i | −0.218849 | − | 0.381050i | ||||
\(502\) | 17.5500 | + | 1.67583i | 0.783297 | + | 0.0747958i | ||||
\(503\) | 4.25803 | + | 29.6153i | 0.189856 | + | 1.32048i | 0.832376 | + | 0.554211i | \(0.186980\pi\) |
−0.642520 | + | 0.766269i | \(0.722111\pi\) | |||||||
\(504\) | 0.275949 | − | 0.472990i | 0.0122918 | − | 0.0210687i | ||||
\(505\) | 54.9663 | 2.44597 | ||||||||
\(506\) | −23.4948 | + | 12.2282i | −1.04447 | + | 0.543609i | ||||
\(507\) | −3.17866 | + | 12.9741i | −0.141169 | + | 0.576200i | ||||
\(508\) | −0.721703 | + | 15.1504i | −0.0320204 | + | 0.672191i | ||||
\(509\) | −19.8257 | + | 15.5911i | −0.878760 | + | 0.691065i | −0.951950 | − | 0.306253i | \(-0.900925\pi\) |
0.0731898 | + | 0.997318i | \(0.476682\pi\) | |||||||
\(510\) | −0.778578 | − | 0.902655i | −0.0344760 | − | 0.0399702i | ||||
\(511\) | −2.00049 | + | 1.90746i | −0.0884963 | + | 0.0843811i | ||||
\(512\) | −0.415415 | + | 0.909632i | −0.0183589 | + | 0.0402004i | ||||
\(513\) | −3.02356 | − | 22.0956i | −0.133493 | − | 0.975543i | ||||
\(514\) | −0.544248 | + | 3.78533i | −0.0240057 | + | 0.166964i | ||||
\(515\) | −2.83556 | + | 11.6883i | −0.124950 | + | 0.515049i | ||||
\(516\) | 1.75467 | + | 1.13329i | 0.0772449 | + | 0.0498902i | ||||
\(517\) | −32.6698 | − | 16.8425i | −1.43682 | − | 0.740731i | ||||
\(518\) | −1.46644 | − | 0.756003i | −0.0644317 | − | 0.0332169i | ||||
\(519\) | 3.25210 | − | 1.66725i | 0.142751 | − | 0.0731840i | ||||
\(520\) | −2.08025 | + | 8.57491i | −0.0912250 | + | 0.376035i | ||||
\(521\) | −4.24504 | + | 29.5249i | −0.185978 | + | 1.29351i | 0.656314 | + | 0.754488i | \(0.272115\pi\) |
−0.842292 | + | 0.539021i | \(0.818794\pi\) | |||||||
\(522\) | −4.42318 | + | 1.74754i | −0.193597 | + | 0.0764876i | ||||
\(523\) | −14.4158 | + | 31.5662i | −0.630359 | + | 1.38029i | 0.277380 | + | 0.960760i | \(0.410534\pi\) |
−0.907740 | + | 0.419534i | \(0.862193\pi\) | |||||||
\(524\) | 3.91433 | − | 3.73231i | 0.170998 | − | 0.163047i | ||||
\(525\) | −1.01206 | + | 2.90283i | −0.0441697 | + | 0.126690i | ||||
\(526\) | 2.60803 | − | 2.05098i | 0.113716 | − | 0.0894270i | ||||
\(527\) | −0.0550014 | + | 1.15462i | −0.00239590 | + | 0.0502961i | ||||
\(528\) | −6.90809 | − | 6.61683i | −0.300636 | − | 0.287961i | ||||
\(529\) | −22.9122 | − | 2.00830i | −0.996181 | − | 0.0873175i | ||||
\(530\) | −40.7442 | −1.76981 | ||||||||
\(531\) | −8.23336 | − | 14.4112i | −0.357297 | − | 0.625392i | ||||
\(532\) | −0.111492 | − | 0.775447i | −0.00483381 | − | 0.0336199i | ||||
\(533\) | 13.5204 | + | 1.29104i | 0.585635 | + | 0.0559213i | ||||
\(534\) | −1.58437 | + | 2.72989i | −0.0685625 | + | 0.118134i | ||||
\(535\) | 48.4687 | − | 4.62820i | 2.09548 | − | 0.200094i | ||||
\(536\) | 10.8367 | + | 2.08861i | 0.468076 | + | 0.0902142i | ||||
\(537\) | −4.74935 | − | 33.5729i | −0.204950 | − | 1.44878i | ||||
\(538\) | −5.12170 | + | 21.1119i | −0.220812 | + | 0.910200i | ||||
\(539\) | −25.1962 | − | 29.0779i | −1.08528 | − | 1.25248i | ||||
\(540\) | −15.5884 | − | 12.4314i | −0.670816 | − | 0.534963i | ||||
\(541\) | 12.2853 | − | 7.89527i | 0.528186 | − | 0.339444i | −0.249217 | − | 0.968448i | \(-0.580173\pi\) |
0.777403 | + | 0.629003i | \(0.216537\pi\) | |||||||
\(542\) | −14.1136 | + | 2.72018i | −0.606231 | + | 0.116842i | ||||
\(543\) | −6.04315 | + | 3.86436i | −0.259336 | + | 0.165835i | ||||
\(544\) | 0.166512 | − | 0.0666613i | 0.00713913 | − | 0.00285808i | ||||
\(545\) | −20.1020 | − | 3.87434i | −0.861074 | − | 0.165958i | ||||
\(546\) | 0.570453 | + | 0.450707i | 0.0244131 | + | 0.0192885i | ||||
\(547\) | 2.59499 | − | 2.47432i | 0.110954 | − | 0.105794i | −0.632572 | − | 0.774502i | \(-0.718001\pi\) |
0.743526 | + | 0.668708i | \(0.233152\pi\) | |||||||
\(548\) | 8.98742 | + | 19.6797i | 0.383924 | + | 0.840676i | ||||
\(549\) | 14.1955 | − | 2.66923i | 0.605849 | − | 0.113920i | ||||
\(550\) | 45.1766 | + | 29.0332i | 1.92634 | + | 1.23798i | ||||
\(551\) | −3.40198 | + | 5.89240i | −0.144929 | + | 0.251025i | ||||
\(552\) | −1.97141 | − | 8.06930i | −0.0839090 | − | 0.343452i | ||||
\(553\) | −0.653438 | − | 1.13179i | −0.0277870 | − | 0.0481285i | ||||
\(554\) | 0.216972 | − | 4.55480i | 0.00921825 | − | 0.193515i | ||||
\(555\) | −34.9557 | + | 48.8535i | −1.48379 | + | 2.07372i | ||||
\(556\) | −0.744260 | − | 0.0710682i | −0.0315637 | − | 0.00301396i | ||||
\(557\) | 22.9628 | + | 6.74248i | 0.972964 | + | 0.285688i | 0.729317 | − | 0.684176i | \(-0.239838\pi\) |
0.243647 | + | 0.969864i | \(0.421656\pi\) | |||||||
\(558\) | 2.66472 | + | 19.1498i | 0.112806 | + | 0.810674i | ||||
\(559\) | −1.81606 | + | 2.09585i | −0.0768114 | + | 0.0886450i | ||||
\(560\) | −0.550557 | − | 0.432963i | −0.0232653 | − | 0.0182960i | ||||
\(561\) | 0.0777499 | + | 1.71395i | 0.00328260 | + | 0.0723632i | ||||
\(562\) | −2.67944 | + | 7.74174i | −0.113025 | + | 0.326565i | ||||
\(563\) | 41.3882 | + | 21.3371i | 1.74430 | + | 0.899251i | 0.960518 | + | 0.278218i | \(0.0897439\pi\) |
0.783785 | + | 0.621032i | \(0.213286\pi\) | |||||||
\(564\) | 7.56849 | − | 8.69458i | 0.318691 | − | 0.366108i | ||||
\(565\) | 38.6528 | − | 7.44972i | 1.62614 | − | 0.313412i | ||||
\(566\) | −5.72817 | + | 1.68194i | −0.240773 | + | 0.0706973i | ||||
\(567\) | −1.46695 | + | 0.739499i | −0.0616062 | + | 0.0310560i | ||||
\(568\) | −6.78142 | + | 7.82618i | −0.284542 | + | 0.328379i | ||||
\(569\) | −3.39557 | − | 4.76840i | −0.142350 | − | 0.199902i | 0.737246 | − | 0.675625i | \(-0.236126\pi\) |
−0.879595 | + | 0.475723i | \(0.842187\pi\) | |||||||
\(570\) | −28.5245 | − | 0.0646959i | −1.19476 | − | 0.00270981i | ||||
\(571\) | −12.4692 | + | 17.5105i | −0.521819 | + | 0.732792i | −0.988431 | − | 0.151670i | \(-0.951535\pi\) |
0.466612 | + | 0.884462i | \(0.345474\pi\) | |||||||
\(572\) | 9.98280 | − | 7.85056i | 0.417402 | − | 0.328248i | ||||
\(573\) | 12.9538 | − | 12.2954i | 0.541152 | − | 0.513649i | ||||
\(574\) | −0.539057 | + | 0.933674i | −0.0224998 | + | 0.0389708i | ||||
\(575\) | 19.5366 | + | 42.3430i | 0.814733 | + | 1.76583i | ||||
\(576\) | 2.53109 | − | 1.61046i | 0.105462 | − | 0.0671024i | ||||
\(577\) | 15.5948 | + | 10.0221i | 0.649219 | + | 0.417228i | 0.823381 | − | 0.567489i | \(-0.192085\pi\) |
−0.174162 | + | 0.984717i | \(0.555722\pi\) | |||||||
\(578\) | 15.7524 | + | 6.30631i | 0.655213 | + | 0.262308i | ||||
\(579\) | −13.2420 | + | 37.9814i | −0.550320 | + | 1.57845i | ||||
\(580\) | 1.43412 | + | 5.91152i | 0.0595485 | + | 0.245462i | ||||
\(581\) | 1.35364 | − | 0.129257i | 0.0561583 | − | 0.00536247i | ||||
\(582\) | −26.8125 | + | 2.49893i | −1.11142 | + | 0.103584i | ||||
\(583\) | 46.0967 | + | 36.2509i | 1.90913 | + | 1.50136i | ||||
\(584\) | −14.5296 | + | 4.26629i | −0.601241 | + | 0.176540i | ||||
\(585\) | 19.2405 | − | 18.1799i | 0.795499 | − | 0.751647i | ||||
\(586\) | 5.49950 | − | 3.53432i | 0.227182 | − | 0.146001i | ||||
\(587\) | −0.865332 | − | 18.1656i | −0.0357161 | − | 0.749773i | −0.943707 | − | 0.330783i | \(-0.892687\pi\) |
0.907991 | − | 0.418990i | \(-0.137616\pi\) | |||||||
\(588\) | 10.7378 | − | 5.50492i | 0.442818 | − | 0.227019i | ||||
\(589\) | 20.0188 | + | 19.0879i | 0.824859 | + | 0.786502i | ||||
\(590\) | −19.7080 | + | 7.88990i | −0.811366 | + | 0.324822i | ||||
\(591\) | 1.80107 | − | 3.92025i | 0.0740863 | − | 0.161257i | ||||
\(592\) | −5.24289 | − | 7.36260i | −0.215481 | − | 0.302601i | ||||
\(593\) | 39.3011 | + | 11.5398i | 1.61390 | + | 0.473885i | 0.959371 | − | 0.282149i | \(-0.0910473\pi\) |
0.654532 | + | 0.756034i | \(0.272866\pi\) | |||||||
\(594\) | 6.57574 | + | 27.9338i | 0.269806 | + | 1.14614i | ||||
\(595\) | 0.0178783 | + | 0.124346i | 0.000732938 | + | 0.00509769i | ||||
\(596\) | −8.89055 | + | 4.58340i | −0.364171 | + | 0.187743i | ||||
\(597\) | 11.3088 | − | 3.29273i | 0.462839 | − | 0.134762i | ||||
\(598\) | 10.9741 | − | 1.09094i | 0.448764 | − | 0.0446120i | ||||
\(599\) | −20.1698 | − | 34.9351i | −0.824116 | − | 1.42741i | −0.902593 | − | 0.430495i | \(-0.858339\pi\) |
0.0784772 | − | 0.996916i | \(-0.474994\pi\) | |||||||
\(600\) | −12.2153 | + | 11.5945i | −0.498687 | + | 0.473342i | ||||
\(601\) | −3.59295 | − | 1.43840i | −0.146559 | − | 0.0586736i | 0.297223 | − | 0.954808i | \(-0.403939\pi\) |
−0.443783 | + | 0.896134i | \(0.646364\pi\) | |||||||
\(602\) | −0.0914466 | − | 0.200240i | −0.00372709 | − | 0.00816118i | ||||
\(603\) | −23.8579 | − | 22.9560i | −0.971568 | − | 0.934839i | ||||
\(604\) | 2.27490 | − | 4.98135i | 0.0925645 | − | 0.202688i | ||||
\(605\) | −24.4743 | − | 70.7139i | −0.995023 | − | 2.87493i | ||||
\(606\) | 19.5378 | − | 15.2931i | 0.793668 | − | 0.621239i | ||||
\(607\) | 28.4715 | + | 27.1475i | 1.15562 | + | 1.10188i | 0.993350 | + | 0.115136i | \(0.0367305\pi\) |
0.162271 | + | 0.986746i | \(0.448118\pi\) | |||||||
\(608\) | 1.40375 | − | 4.05587i | 0.0569296 | − | 0.164487i | ||||
\(609\) | 0.491930 | + | 0.0959693i | 0.0199340 | + | 0.00388887i | ||||
\(610\) | −0.879070 | − | 18.4539i | −0.0355925 | − | 0.747179i | ||||
\(611\) | 10.0220 | + | 11.5660i | 0.405447 | + | 0.467911i | ||||
\(612\) | −0.527888 | − | 0.104228i | −0.0213386 | − | 0.00421316i | ||||
\(613\) | 4.93449 | − | 34.3201i | 0.199302 | − | 1.38618i | −0.607014 | − | 0.794691i | \(-0.707633\pi\) |
0.806316 | − | 0.591485i | \(-0.201458\pi\) | |||||||
\(614\) | −9.02907 | − | 26.0878i | −0.364383 | − | 1.05282i | ||||
\(615\) | 30.8009 | + | 24.3354i | 1.24201 | + | 0.981298i | ||||
\(616\) | 0.237668 | + | 0.979683i | 0.00957594 | + | 0.0394725i | ||||
\(617\) | 17.7752 | − | 24.9617i | 0.715602 | − | 1.00492i | −0.283344 | − | 0.959018i | \(-0.591444\pi\) |
0.998946 | − | 0.0459039i | \(-0.0146168\pi\) | |||||||
\(618\) | 2.24410 | + | 4.94354i | 0.0902710 | + | 0.198858i | ||||
\(619\) | 15.1115 | − | 7.79053i | 0.607383 | − | 0.313128i | −0.126958 | − | 0.991908i | \(-0.540521\pi\) |
0.734341 | + | 0.678780i | \(0.237491\pi\) | |||||||
\(620\) | 24.7294 | 0.993157 | ||||||||
\(621\) | −8.21919 | + | 23.5254i | −0.329825 | + | 0.944042i | ||||
\(622\) | −5.55138 | −0.222590 | ||||||||
\(623\) | 0.295658 | − | 0.152422i | 0.0118453 | − | 0.00610667i | ||||
\(624\) | 1.64634 | + | 3.62673i | 0.0659064 | + | 0.145185i | ||||
\(625\) | 12.1408 | − | 17.0493i | 0.485631 | − | 0.681973i | ||||
\(626\) | 2.42723 | + | 10.0052i | 0.0970115 | + | 0.399887i | ||||
\(627\) | 32.2142 | + | 25.4520i | 1.28651 | + | 1.01646i | ||||
\(628\) | 0.262165 | + | 0.757477i | 0.0104615 | + | 0.0302266i | ||||
\(629\) | −0.230715 | + | 1.60465i | −0.00919919 | + | 0.0639818i | ||||
\(630\) | 0.678228 | + | 1.98875i | 0.0270212 | + | 0.0792338i | ||||
\(631\) | −21.0445 | − | 24.2866i | −0.837767 | − | 0.966834i | 0.162034 | − | 0.986785i | \(-0.448195\pi\) |
−0.999801 | + | 0.0199507i | \(0.993649\pi\) | |||||||
\(632\) | −0.340669 | − | 7.15153i | −0.0135511 | − | 0.284473i | ||||
\(633\) | −3.36064 | − | 0.655618i | −0.133573 | − | 0.0260585i | ||||
\(634\) | −3.50849 | + | 10.1371i | −0.139340 | + | 0.402597i | ||||
\(635\) | −42.1214 | − | 40.1627i | −1.67154 | − | 1.59381i | ||||
\(636\) | −14.4825 | + | 11.3361i | −0.574269 | + | 0.449506i | ||||
\(637\) | 5.23967 | + | 15.1390i | 0.207603 | + | 0.599831i | ||||
\(638\) | 3.63707 | − | 7.96408i | 0.143993 | − | 0.315301i | ||||
\(639\) | 29.8475 | − | 8.61716i | 1.18075 | − | 0.340889i | ||||
\(640\) | −1.59400 | − | 3.49038i | −0.0630085 | − | 0.137969i | ||||
\(641\) | −12.0742 | − | 4.83379i | −0.476903 | − | 0.190923i | 0.120742 | − | 0.992684i | \(-0.461473\pi\) |
−0.597645 | + | 0.801761i | \(0.703897\pi\) | |||||||
\(642\) | 15.9405 | − | 15.1304i | 0.629121 | − | 0.597147i | ||||
\(643\) | −7.29604 | − | 12.6371i | −0.287728 | − | 0.498359i | 0.685539 | − | 0.728036i | \(-0.259566\pi\) |
−0.973267 | + | 0.229677i | \(0.926233\pi\) | |||||||
\(644\) | −0.283099 | + | 0.828362i | −0.0111557 | + | 0.0326420i | ||||
\(645\) | −7.69555 | + | 2.24067i | −0.303012 | + | 0.0882263i | ||||
\(646\) | −0.684224 | + | 0.352742i | −0.0269204 | + | 0.0138784i | ||||
\(647\) | 4.72696 | + | 32.8767i | 0.185836 | + | 1.29252i | 0.842649 | + | 0.538464i | \(0.180995\pi\) |
−0.656813 | + | 0.754054i | \(0.728096\pi\) | |||||||
\(648\) | −8.99963 | − | 0.0816496i | −0.353539 | − | 0.00320750i | ||||
\(649\) | 29.3169 | + | 8.60821i | 1.15079 | + | 0.337902i | ||||
\(650\) | −12.9699 | − | 18.2137i | −0.508723 | − | 0.714401i | ||||
\(651\) | 0.850635 | − | 1.85151i | 0.0333390 | − | 0.0725663i | ||||
\(652\) | −4.19635 | + | 1.67997i | −0.164342 | + | 0.0657925i | ||||
\(653\) | 25.1452 | + | 23.9759i | 0.984009 | + | 0.938251i | 0.998098 | − | 0.0616501i | \(-0.0196363\pi\) |
−0.0140889 | + | 0.999901i | \(0.504485\pi\) | |||||||
\(654\) | −8.22319 | + | 4.21577i | −0.321552 | + | 0.164850i | ||||
\(655\) | 0.987478 | + | 20.7297i | 0.0385840 | + | 0.809977i | ||||
\(656\) | −4.96876 | + | 3.19323i | −0.193997 | + | 0.124675i | ||||
\(657\) | 43.5304 | + | 12.9965i | 1.69828 | + | 0.507040i | ||||
\(658\) | −1.16560 | + | 0.342252i | −0.0454400 | + | 0.0133424i | ||||
\(659\) | 7.78579 | + | 6.12282i | 0.303291 | + | 0.238511i | 0.758192 | − | 0.652031i | \(-0.226083\pi\) |
−0.454901 | + | 0.890542i | \(0.650325\pi\) | |||||||
\(660\) | 36.5468 | − | 3.40617i | 1.42258 | − | 0.132585i | ||||
\(661\) | −29.2787 | + | 2.79578i | −1.13881 | + | 0.108743i | −0.647375 | − | 0.762172i | \(-0.724133\pi\) |
−0.491434 | + | 0.870915i | \(0.663527\pi\) | |||||||
\(662\) | −1.24632 | − | 5.13742i | −0.0484398 | − | 0.199671i | ||||
\(663\) | 0.235180 | − | 0.674553i | 0.00913362 | − | 0.0261975i | ||||
\(664\) | 6.91592 | + | 2.76872i | 0.268390 | + | 0.107447i | ||||
\(665\) | 2.52889 | + | 1.62522i | 0.0980660 | + | 0.0630232i | ||||
\(666\) | 1.16734 | + | 27.0906i | 0.0452336 | + | 1.04974i | ||||
\(667\) | 6.37987 | − | 4.13521i | 0.247029 | − | 0.160116i | ||||
\(668\) | −2.83931 | + | 4.91783i | −0.109856 | + | 0.190276i | ||||
\(669\) | −18.4494 | + | 17.5118i | −0.713296 | + | 0.677045i | ||||
\(670\) | −33.2872 | + | 26.1773i | −1.28600 | + | 1.01132i | ||||
\(671\) | −15.4243 | + | 21.6604i | −0.595448 | + | 0.836190i | ||||
\(672\) | −0.316157 | 0.000717070i | −0.0121960 | 2.76616e-5i | ||||||
\(673\) | 2.07340 | + | 2.91169i | 0.0799238 | + | 0.112237i | 0.852602 | − | 0.522560i | \(-0.175023\pi\) |
−0.772679 | + | 0.634797i | \(0.781084\pi\) | |||||||
\(674\) | −23.9212 | + | 27.6065i | −0.921409 | + | 1.06336i | ||||
\(675\) | 49.6761 | − | 9.22418i | 1.91204 | − | 0.355039i | ||||
\(676\) | 7.39973 | − | 2.17276i | 0.284605 | − | 0.0835676i | ||||
\(677\) | 0.112249 | − | 0.0216342i | 0.00431407 | − | 0.000831470i | −0.187094 | − | 0.982342i | \(-0.559907\pi\) |
0.191408 | + | 0.981511i | \(0.438695\pi\) | |||||||
\(678\) | 11.6664 | − | 13.4022i | 0.448047 | − | 0.514710i | ||||
\(679\) | 2.52244 | + | 1.30041i | 0.0968023 | + | 0.0499050i | ||||
\(680\) | −0.225097 | + | 0.650375i | −0.00863208 | + | 0.0249408i | ||||
\(681\) | 2.14991 | + | 47.3936i | 0.0823847 | + | 1.81613i | ||||
\(682\) | −27.9781 | − | 22.0022i | −1.07134 | − | 0.842509i | ||||
\(683\) | 12.8805 | − | 14.8649i | 0.492858 | − | 0.568788i | −0.453769 | − | 0.891119i | \(-0.649921\pi\) |
0.946627 | + | 0.322331i | \(0.104466\pi\) | |||||||
\(684\) | −10.1570 | + | 7.91328i | −0.388364 | + | 0.302572i | ||||
\(685\) | −79.6529 | − | 23.3882i | −3.04338 | − | 0.893617i | ||||
\(686\) | −2.53785 | − | 0.242335i | −0.0968955 | − | 0.00925240i | ||||
\(687\) | −17.7082 | + | 24.7487i | −0.675611 | + | 0.944223i | ||||
\(688\) | 0.0573831 | − | 1.20462i | 0.00218771 | − | 0.0459257i | ||||
\(689\) | −12.2087 | − | 21.1461i | −0.465114 | − | 0.805601i | ||||
\(690\) | 28.3540 | + | 14.5595i | 1.07942 | + | 0.554271i | ||||
\(691\) | 3.41794 | − | 5.92005i | 0.130025 | − | 0.225209i | −0.793661 | − | 0.608360i | \(-0.791828\pi\) |
0.923686 | + | 0.383151i | \(0.125161\pi\) | |||||||
\(692\) | −1.77502 | − | 1.14073i | −0.0674760 | − | 0.0433642i | ||||
\(693\) | 1.00211 | − | 2.85345i | 0.0380668 | − | 0.108394i | ||||
\(694\) | 7.64686 | + | 16.7443i | 0.290271 | + | 0.635604i | ||||
\(695\) | 2.07626 | − | 1.97971i | 0.0787570 | − | 0.0750947i | ||||
\(696\) | 2.15450 | + | 1.70224i | 0.0816660 | + | 0.0645232i | ||||
\(697\) | 1.04022 | + | 0.200486i | 0.0394012 | + | 0.00759396i | ||||
\(698\) | −23.9394 | + | 9.58389i | −0.906120 | + | 0.362756i | ||||
\(699\) | 3.65005 | − | 2.33407i | 0.138058 | − | 0.0882825i | ||||
\(700\) | 1.74281 | − | 0.335899i | 0.0658721 | − | 0.0126958i | ||||
\(701\) | 28.4657 | − | 18.2938i | 1.07513 | − | 0.690946i | 0.121705 | − | 0.992566i | \(-0.461164\pi\) |
0.953428 | + | 0.301620i | \(0.0975274\pi\) | |||||||
\(702\) | 1.78092 | − | 11.8153i | 0.0672164 | − | 0.445939i | ||||
\(703\) | 25.4039 | + | 29.3177i | 0.958127 | + | 1.10574i | ||||
\(704\) | −1.30205 | + | 5.36713i | −0.0490729 | + | 0.202281i | ||||
\(705\) | 6.19550 | + | 43.7956i | 0.233336 | + | 1.64944i | ||||
\(706\) | −8.95408 | − | 1.72576i | −0.336991 | − | 0.0649497i | ||||
\(707\) | −2.60293 | + | 0.248550i | −0.0978932 | + | 0.00934767i | ||||
\(708\) | −4.81004 | + | 8.28776i | −0.180772 | + | 0.311473i | ||||
\(709\) | 6.76372 | + | 0.645857i | 0.254017 | + | 0.0242557i | 0.221288 | − | 0.975209i | \(-0.428974\pi\) |
0.0327291 | + | 0.999464i | \(0.489580\pi\) | |||||||
\(710\) | −5.65495 | − | 39.3311i | −0.212227 | − | 1.47607i | ||||
\(711\) | −10.8237 | + | 18.5524i | −0.405921 | + | 0.695769i | ||||
\(712\) | 1.82232 | 0.0682943 | ||||||||
\(713\) | −10.2224 | − | 29.1686i | −0.382833 | − | 1.09237i | ||||
\(714\) | 0.0409512 | + | 0.0392246i | 0.00153256 | + | 0.00146794i | ||||
\(715\) | −2.31872 | + | 48.6760i | −0.0867154 | + | 1.82038i | ||||
\(716\) | −15.3880 | + | 12.1013i | −0.575077 | + | 0.452245i | ||||
\(717\) | 11.6124 | − | 33.3072i | 0.433673 | − | 1.24388i | ||||
\(718\) | 20.8637 | − | 19.8935i | 0.778628 | − | 0.742420i | ||||
\(719\) | −4.16131 | + | 9.11200i | −0.155191 | + | 0.339820i | −0.971218 | − | 0.238193i | \(-0.923445\pi\) |
0.816027 | + | 0.578014i | \(0.196172\pi\) | |||||||
\(720\) | −1.68991 | + | 11.3867i | −0.0629793 | + | 0.424357i | ||||
\(721\) | 0.0814248 | − | 0.566322i | 0.00303242 | − | 0.0210909i | ||||
\(722\) | 0.136601 | − | 0.563077i | 0.00508377 | − | 0.0209556i | ||||
\(723\) | −15.9261 | + | 8.16479i | −0.592297 | + | 0.303652i | ||||
\(724\) | 3.68100 | + | 1.89769i | 0.136803 | + | 0.0705269i | ||||
\(725\) | −13.7012 | − | 7.06345i | −0.508849 | − | 0.262330i | ||||
\(726\) | −28.3739 | − | 18.3259i | −1.05305 | − | 0.680136i | ||||
\(727\) | −4.43642 | + | 18.2872i | −0.164538 | + | 0.678233i | 0.828455 | + | 0.560056i | \(0.189220\pi\) |
−0.992992 | + | 0.118178i | \(0.962295\pi\) | |||||||
\(728\) | 0.0597357 | − | 0.415471i | 0.00221395 | − | 0.0153984i | ||||
\(729\) | 22.5131 | + | 14.9050i | 0.833819 | + | 0.552039i | ||||
\(730\) | 24.1381 | − | 52.8550i | 0.893389 | − | 1.95625i | ||||
\(731\) | −0.156547 | + | 0.149268i | −0.00579012 | + | 0.00552086i | ||||
\(732\) | −5.44684 | − | 6.31487i | −0.201321 | − | 0.233404i | ||||
\(733\) | 11.8588 | − | 9.32590i | 0.438017 | − | 0.344460i | −0.374673 | − | 0.927157i | \(-0.622245\pi\) |
0.812689 | + | 0.582697i | \(0.198003\pi\) | |||||||
\(734\) | 1.36560 | − | 28.6674i | 0.0504051 | − | 1.05813i | ||||
\(735\) | −11.0180 | + | 44.9713i | −0.406404 | + | 1.65879i | ||||
\(736\) | −3.45802 | + | 3.32296i | −0.127464 | + | 0.122486i | ||||
\(737\) | 60.9507 | 2.24515 | ||||||||
\(738\) | 17.7189 | + | 0.0803763i | 0.652243 | + | 0.00295869i | ||||
\(739\) | −2.63974 | − | 18.3598i | −0.0971044 | − | 0.675376i | −0.978989 | − | 0.203911i | \(-0.934635\pi\) |
0.881885 | − | 0.471465i | \(-0.156275\pi\) | |||||||
\(740\) | 34.5252 | + | 3.29675i | 1.26917 | + | 0.121191i | ||||
\(741\) | −8.51358 | − | 14.8235i | −0.312754 | − | 0.544555i | ||||
\(742\) | 1.92944 | − | 0.184239i | 0.0708319 | − | 0.00676363i | ||||
\(743\) | 18.8136 | + | 3.62603i | 0.690204 | + | 0.133026i | 0.522280 | − | 0.852774i | \(-0.325081\pi\) |
0.167924 | + | 0.985800i | \(0.446294\pi\) | |||||||
\(744\) | 8.79006 | − | 6.88037i | 0.322259 | − | 0.252247i | ||||
\(745\) | 9.04862 | − | 37.2989i | 0.331516 | − | 1.36653i | ||||
\(746\) | −7.25906 | − | 8.37741i | −0.265773 | − | 0.306719i | ||||
\(747\) | −12.8808 | − | 18.2633i | −0.471283 | − | 0.668218i | ||||
\(748\) | 0.833320 | − | 0.535542i | 0.0304692 | − | 0.0195814i | ||||
\(749\) | −2.27430 | + | 0.438336i | −0.0831012 | + | 0.0160165i | ||||
\(750\) | −1.42264 | − | 31.3613i | −0.0519474 | − | 1.14515i | ||||
\(751\) | 12.2475 | − | 4.90315i | 0.446917 | − | 0.178919i | −0.137277 | − | 0.990533i | \(-0.543835\pi\) |
0.584194 | + | 0.811614i | \(0.301411\pi\) | |||||||
\(752\) | −6.53500 | − | 1.25952i | −0.238307 | − | 0.0459299i | ||||
\(753\) | −4.41424 | + | 30.2151i | −0.160864 | + | 1.10110i | ||||
\(754\) | −2.63833 | + | 2.51564i | −0.0960823 | + | 0.0916143i | ||||
\(755\) | 8.72911 | + | 19.1141i | 0.317685 | + | 0.695633i | ||||
\(756\) | 0.794399 | + | 0.518201i | 0.0288920 | + | 0.0188468i | ||||
\(757\) | −18.1995 | − | 11.6961i | −0.661474 | − | 0.425103i | 0.166369 | − | 0.986064i | \(-0.446796\pi\) |
−0.827843 | + | 0.560960i | \(0.810432\pi\) | |||||||
\(758\) | −8.61081 | + | 14.9144i | −0.312759 | + | 0.541714i | ||||
\(759\) | −19.1250 | − | 41.6993i | −0.694194 | − | 1.51359i | ||||
\(760\) | 8.23434 | + | 14.2623i | 0.298691 | + | 0.517348i | ||||
\(761\) | 0.705390 | − | 14.8080i | 0.0255704 | − | 0.536788i | −0.949348 | − | 0.314226i | \(-0.898255\pi\) |
0.974919 | − | 0.222562i | \(-0.0714420\pi\) | |||||||
\(762\) | −26.1464 | − | 2.55653i | −0.947183 | − | 0.0926133i | ||||
\(763\) | 0.969447 | + | 0.0925710i | 0.0350964 | + | 0.00335130i | ||||
\(764\) | −9.89377 | − | 2.90507i | −0.357944 | − | 0.105102i | ||||
\(765\) | 1.62872 | − | 1.26893i | 0.0588866 | − | 0.0458781i | ||||
\(766\) | −24.5954 | + | 28.3846i | −0.888667 | + | 1.02558i | ||||
\(767\) | −10.0002 | − | 7.86424i | −0.361086 | − | 0.283961i | ||||
\(768\) | −1.53770 | − | 0.797161i | −0.0554871 | − | 0.0287651i | ||||
\(769\) | −15.0067 | + | 43.3591i | −0.541157 | + | 1.56357i | 0.260307 | + | 0.965526i | \(0.416176\pi\) |
−0.801463 | + | 0.598044i | \(0.795945\pi\) | |||||||
\(770\) | −3.43820 | − | 1.77252i | −0.123904 | − | 0.0638771i | ||||
\(771\) | −6.50124 | − | 1.26831i | −0.234136 | − | 0.0456771i | ||||
\(772\) | 22.8034 | − | 4.39500i | 0.820713 | − | 0.158180i | ||||
\(773\) | 22.8568 | − | 6.71135i | 0.822100 | − | 0.241390i | 0.156480 | − | 0.987681i | \(-0.449985\pi\) |
0.665620 | + | 0.746291i | \(0.268167\pi\) | |||||||
\(774\) | −2.11197 | + | 2.93755i | −0.0759131 | + | 0.105588i | ||||
\(775\) | −41.0376 | + | 47.3600i | −1.47412 | + | 1.70122i | ||||
\(776\) | 9.01833 | + | 12.6645i | 0.323739 | + | 0.454628i | ||||
\(777\) | 1.43442 | − | 2.47152i | 0.0514594 | − | 0.0886653i | ||||
\(778\) | 2.10520 | − | 2.95633i | 0.0754749 | − | 0.105990i | ||||
\(779\) | 19.9262 | − | 15.6701i | 0.713930 | − | 0.561441i | ||||
\(780\) | −14.6541 | − | 4.33896i | −0.524701 | − | 0.155360i | ||||
\(781\) | −28.5958 | + | 49.5293i | −1.02324 | + | 1.77230i | ||||
\(782\) | 0.860172 | − | 0.00334221i | 0.0307597 | − | 0.000119517i | ||||
\(783\) | −2.64117 | − | 7.80253i | −0.0943877 | − | 0.278840i | ||||
\(784\) | −5.86075 | − | 3.76647i | −0.209312 | − | 0.134517i | ||||
\(785\) | −2.85538 | − | 1.14312i | −0.101913 | − | 0.0407998i | ||||
\(786\) | 6.11855 | + | 7.09363i | 0.218242 | + | 0.253021i | ||||
\(787\) | −12.3518 | − | 50.9149i | −0.440295 | − | 1.81492i | −0.567904 | − | 0.823095i | \(-0.692245\pi\) |
0.127609 | − | 0.991825i | \(-0.459270\pi\) | |||||||
\(788\) | −2.47952 | + | 0.236765i | −0.0883292 | + | 0.00843441i | ||||
\(789\) | 3.32281 | + | 4.68871i | 0.118295 | + | 0.166923i | ||||
\(790\) | 21.5948 | + | 16.9824i | 0.768310 | + | 0.604205i | ||||
\(791\) | −1.79672 | + | 0.527564i | −0.0638839 | + | 0.0187580i | ||||
\(792\) | 12.0429 | − | 11.3790i | 0.427925 | − | 0.404336i | ||||
\(793\) | 9.31412 | − | 5.98582i | 0.330754 | − | 0.212563i | ||||
\(794\) | −0.708267 | − | 14.8684i | −0.0251355 | − | 0.527658i | ||||
\(795\) | 3.51777 | − | 70.4832i | 0.124762 | − | 2.49978i | ||||
\(796\) | −4.92160 | − | 4.69273i | −0.174441 | − | 0.166329i | ||||
\(797\) | 32.1803 | − | 12.8831i | 1.13989 | − | 0.456341i | 0.276564 | − | 0.960996i | \(-0.410804\pi\) |
0.863322 | + | 0.504654i | \(0.168380\pi\) | |||||||
\(798\) | 1.35107 | − | 0.125920i | 0.0478274 | − | 0.00445752i | ||||
\(799\) | 0.692406 | + | 0.972349i | 0.0244956 | + | 0.0343992i | ||||
\(800\) | 9.32972 | + | 2.73945i | 0.329855 | + | 0.0968543i | ||||
\(801\) | −4.58565 | − | 2.97649i | −0.162026 | − | 0.105169i | ||||
\(802\) | −0.491744 | − | 3.42015i | −0.0173641 | − | 0.120770i | ||||
\(803\) | −74.3352 | + | 38.3225i | −2.62323 | + | 1.35237i | ||||
\(804\) | −4.54870 | + | 18.5661i | −0.160420 | + | 0.654776i | ||||
\(805\) | −1.69081 | − | 2.90246i | −0.0595931 | − | 0.102298i | ||||
\(806\) | 7.40998 | + | 12.8345i | 0.261005 | + | 0.452075i | ||||
\(807\) | −36.0793 | − | 10.6828i | −1.27005 | − | 0.376051i | ||||
\(808\) | −13.2987 | − | 5.32400i | −0.467847 | − | 0.187298i | ||||
\(809\) | −18.3632 | − | 40.2097i | −0.645615 | − | 1.41370i | −0.895341 | − | 0.445382i | \(-0.853068\pi\) |
0.249726 | − | 0.968317i | \(-0.419659\pi\) | |||||||
\(810\) | 22.8509 | − | 25.8930i | 0.802900 | − | 0.909786i | ||||
\(811\) | 5.06177 | − | 11.0837i | 0.177743 | − | 0.389203i | −0.799701 | − | 0.600399i | \(-0.795009\pi\) |
0.977444 | + | 0.211196i | \(0.0677358\pi\) | |||||||
\(812\) | −0.0946436 | − | 0.273455i | −0.00332134 | − | 0.00959638i | ||||
\(813\) | −3.48708 | − | 24.6500i | −0.122297 | − | 0.864512i | ||||
\(814\) | −36.1276 | − | 34.4476i | −1.26627 | − | 1.20739i | ||||
\(815\) | 5.67279 | − | 16.3904i | 0.198709 | − | 0.574132i | ||||
\(816\) | 0.100941 | + | 0.293804i | 0.00353364 | + | 0.0102852i | ||||
\(817\) | 0.246284 | + | 5.17013i | 0.00861638 | + | 0.180880i | ||||
\(818\) | 2.42275 | + | 2.79600i | 0.0847095 | + | 0.0977600i | ||||
\(819\) | −0.828929 | + | 0.947912i | −0.0289651 | + | 0.0331227i | ||||
\(820\) | 3.22536 | − | 22.4329i | 0.112634 | − | 0.783390i | ||||
\(821\) | 5.60783 | + | 16.2028i | 0.195715 | + | 0.565480i | 0.999569 | − | 0.0293454i | \(-0.00934226\pi\) |
−0.803855 | + | 0.594826i | \(0.797221\pi\) | |||||||
\(822\) | −34.8198 | + | 13.8482i | −1.21448 | + | 0.483012i | ||||
\(823\) | 5.99697 | + | 24.7199i | 0.209041 | + | 0.861680i | 0.975609 | + | 0.219516i | \(0.0704479\pi\) |
−0.766567 | + | 0.642164i | \(0.778037\pi\) | |||||||
\(824\) | 1.81817 | − | 2.55326i | 0.0633389 | − | 0.0889470i | ||||
\(825\) | −54.1250 | + | 75.6442i | −1.88439 | + | 2.63359i | ||||
\(826\) | 0.897596 | − | 0.462743i | 0.0312314 | − | 0.0161009i | ||||
\(827\) | 25.5474 | 0.888370 | 0.444185 | − | 0.895935i | \(-0.353493\pi\) | ||||
0.444185 | + | 0.895935i | \(0.353493\pi\) | |||||||
\(828\) | 14.1293 | − | 2.71366i | 0.491026 | − | 0.0943062i | ||||
\(829\) | 32.1267 | 1.11581 | 0.557903 | − | 0.829906i | \(-0.311606\pi\) | ||||
0.557903 | + | 0.829906i | \(0.311606\pi\) | |||||||
\(830\) | −25.4073 | + | 13.0984i | −0.881899 | + | 0.454651i | ||||
\(831\) | 7.86060 | + | 0.768591i | 0.272681 | + | 0.0266621i | ||||
\(832\) | 1.33386 | − | 1.87315i | 0.0462434 | − | 0.0649397i | ||||
\(833\) | 0.294591 | + | 1.21432i | 0.0102070 | + | 0.0420737i | ||||
\(834\) | 0.187199 | − | 1.28136i | 0.00648216 | − | 0.0443698i | ||||
\(835\) | −7.12669 | − | 20.5912i | −0.246629 | − | 0.712588i | ||||
\(836\) | 3.37335 | − | 23.4622i | 0.116670 | − | 0.811457i | ||||
\(837\) | −33.3572 | + | 2.95633i | −1.15299 | + | 0.102186i | ||||
\(838\) | −15.2273 | − | 17.5732i | −0.526017 | − | 0.607056i | ||||
\(839\) | 0.804419 | + | 16.8868i | 0.0277716 | + | 0.582998i | 0.969273 | + | 0.245988i | \(0.0791125\pi\) |
−0.941501 | + | 0.337010i | \(0.890584\pi\) | |||||||
\(840\) | 0.796515 | − | 0.915026i | 0.0274824 | − | 0.0315714i | ||||
\(841\) | 8.66300 | − | 25.0301i | 0.298724 | − | 0.863106i | ||||
\(842\) | 5.58999 | + | 5.33004i | 0.192644 | + | 0.183685i | ||||
\(843\) | −13.1611 | − | 5.30357i | −0.453291 | − | 0.182664i | ||||
\(844\) | 0.646562 | + | 1.86812i | 0.0222556 | + | 0.0643032i | ||||
\(845\) | −12.2932 | + | 26.9183i | −0.422897 | + | 0.926016i | ||||
\(846\) | 14.3873 | + | 13.8434i | 0.494645 | + | 0.475945i | ||||
\(847\) | 1.47874 | + | 3.23799i | 0.0508101 | + | 0.111259i | ||||
\(848\) | 9.85777 | + | 3.94645i | 0.338517 | + | 0.135522i | ||||
\(849\) | −2.41503 | − | 10.0544i | −0.0828836 | − | 0.345065i | ||||
\(850\) | −0.872011 | − | 1.51037i | −0.0299097 | − | 0.0518051i | ||||
\(851\) | −10.3832 | − | 42.0855i | −0.355930 | − | 1.44267i | ||||
\(852\) | −12.9530 | − | 12.4069i | −0.443762 | − | 0.425052i | ||||
\(853\) | 41.3798 | − | 21.3328i | 1.41682 | − | 0.730420i | 0.431654 | − | 0.902039i | \(-0.357930\pi\) |
0.985163 | + | 0.171619i | \(0.0548999\pi\) | |||||||
\(854\) | 0.125074 | + | 0.869911i | 0.00427996 | + | 0.0297677i | ||||
\(855\) | 2.57467 | − | 49.3389i | 0.0880518 | − | 1.68735i | ||||
\(856\) | −12.1749 | − | 3.57488i | −0.416131 | − | 0.122187i | ||||
\(857\) | 1.14790 | + | 1.61200i | 0.0392116 | + | 0.0550649i | 0.833716 | − | 0.552193i | \(-0.186209\pi\) |
−0.794505 | + | 0.607258i | \(0.792269\pi\) | |||||||
\(858\) | 12.7188 | + | 17.9470i | 0.434211 | + | 0.612701i | ||||
\(859\) | −29.2889 | + | 11.7255i | −0.999324 | + | 0.400069i | −0.812902 | − | 0.582401i | \(-0.802113\pi\) |
−0.186422 | + | 0.982470i | \(0.559689\pi\) | |||||||
\(860\) | 3.34910 | + | 3.19336i | 0.114203 | + | 0.108893i | ||||
\(861\) | −1.56862 | − | 1.01312i | −0.0534584 | − | 0.0345272i | ||||
\(862\) | −1.25259 | − | 26.2951i | −0.0426633 | − | 0.895613i | ||||
\(863\) | −21.9569 | + | 14.1108i | −0.747421 | + | 0.480338i | −0.858077 | − | 0.513521i | \(-0.828341\pi\) |
0.110657 | + | 0.993859i | \(0.464705\pi\) | |||||||
\(864\) | 2.56740 | + | 4.51757i | 0.0873446 | + | 0.153691i | ||||
\(865\) | 7.76826 | − | 2.28097i | 0.264129 | − | 0.0775552i | ||||
\(866\) | 3.49188 | + | 2.74604i | 0.118659 | + | 0.0933143i | ||||
\(867\) | −12.2693 | + | 26.7055i | −0.416687 | + | 0.906968i | ||||
\(868\) | −1.17106 | + | 0.111823i | −0.0397484 | + | 0.00379551i | ||||
\(869\) | −9.32222 | − | 38.4267i | −0.316234 | − | 1.30354i | ||||
\(870\) | −10.3501 | + | 1.97049i | −0.350902 | + | 0.0668058i | ||||
\(871\) | −23.5602 | − | 9.43208i | −0.798307 | − | 0.319594i | ||||
\(872\) | 4.48827 | + | 2.88443i | 0.151992 | + | 0.0976793i | ||||
\(873\) | −2.00796 | − | 46.5987i | −0.0679590 | − | 1.57713i | ||||
\(874\) | 13.4187 | − | 15.6081i | 0.453893 | − | 0.527952i | ||||
\(875\) | −1.65422 | + | 2.86519i | −0.0559228 | + | 0.0968612i | ||||
\(876\) | −6.12578 | − | 25.5031i | −0.206971 | − | 0.861671i | ||||
\(877\) | −5.95959 | + | 4.68667i | −0.201241 | + | 0.158258i | −0.713694 | − | 0.700458i | \(-0.752979\pi\) |
0.512453 | + | 0.858715i | \(0.328737\pi\) | |||||||
\(878\) | 20.2929 | − | 28.4974i | 0.684853 | − | 0.961741i | ||||
\(879\) | 5.63919 | + | 9.81872i | 0.190205 | + | 0.331177i | ||||
\(880\) | −12.2924 | − | 17.2623i | −0.414377 | − | 0.581912i | ||||
\(881\) | −21.3226 | + | 24.6076i | −0.718377 | + | 0.829051i | −0.991111 | − | 0.133038i | \(-0.957527\pi\) |
0.272734 | + | 0.962089i | \(0.412072\pi\) | |||||||
\(882\) | 8.59586 | + | 19.0505i | 0.289438 | + | 0.641465i | ||||
\(883\) | 31.3951 | − | 9.21844i | 1.05653 | − | 0.310225i | 0.293077 | − | 0.956089i | \(-0.405321\pi\) |
0.763453 | + | 0.645864i | \(0.223503\pi\) | |||||||
\(884\) | −0.404991 | + | 0.0780556i | −0.0136213 | + | 0.00262529i | ||||
\(885\) | −11.9472 | − | 34.7741i | −0.401600 | − | 1.16892i | ||||
\(886\) | 29.9225 | + | 15.4261i | 1.00527 | + | 0.518251i | ||||
\(887\) | 10.5294 | − | 30.4226i | 0.353542 | − | 1.02149i | −0.618317 | − | 0.785929i | \(-0.712185\pi\) |
0.971859 | − | 0.235564i | \(-0.0756936\pi\) | |||||||
\(888\) | 13.1892 | − | 8.43398i | 0.442601 | − | 0.283026i | ||||
\(889\) | 2.17627 | + | 1.71144i | 0.0729896 | + | 0.0573997i | ||||
\(890\) | −4.57911 | + | 5.28457i | −0.153492 | + | 0.177139i | ||||
\(891\) | −48.8904 | + | 8.96361i | −1.63789 | + | 0.300292i | ||||
\(892\) | 14.0912 | + | 4.13755i | 0.471808 | + | 0.138535i | ||||
\(893\) | 28.4345 | + | 2.71517i | 0.951526 | + | 0.0908597i | ||||
\(894\) | −7.16121 | − | 15.7755i | −0.239507 | − | 0.527610i | ||||
\(895\) | 3.57420 | − | 75.0317i | 0.119472 | − | 2.50803i | ||||
\(896\) | 0.0912669 | + | 0.158079i | 0.00304901 | + | 0.00528105i | ||||
\(897\) | 0.939739 | + | 19.0783i | 0.0313770 | + | 0.637004i | ||||
\(898\) | −4.28662 | + | 7.42465i | −0.143046 | + | 0.247764i | ||||
\(899\) | 8.59495 | + | 5.52364i | 0.286658 | + | 0.184224i | ||||
\(900\) | −19.0026 | − | 22.1322i | −0.633420 | − | 0.737741i | ||||
\(901\) | −0.791162 | − | 1.73240i | −0.0263574 | − | 0.0577147i | ||||
\(902\) | −23.6080 | + | 22.5102i | −0.786062 | + | 0.749508i | ||||
\(903\) | 0.354290 | − | 0.140905i | 0.0117900 | − | 0.00468902i | ||||
\(904\) | −10.0734 | − | 1.94148i | −0.335035 | − | 0.0645727i | ||||
\(905\) | −14.7527 | + | 5.90609i | −0.490396 | + | 0.196325i | ||||
\(906\) | 8.42081 | + | 4.36543i | 0.279763 | + | 0.145032i | ||||
\(907\) | −1.22297 | + | 0.235708i | −0.0406080 | + | 0.00782655i | −0.209515 | − | 0.977805i | \(-0.567188\pi\) |
0.168907 | + | 0.985632i | \(0.445976\pi\) | |||||||
\(908\) | 23.0426 | − | 14.8086i | 0.764697 | − | 0.491441i | ||||
\(909\) | 24.7686 | + | 35.1187i | 0.821523 | + | 1.16481i | ||||
\(910\) | 1.05473 | + | 1.21722i | 0.0349638 | + | 0.0403504i | ||||
\(911\) | 1.21418 | − | 5.00492i | 0.0402276 | − | 0.165821i | −0.948155 | − | 0.317810i | \(-0.897053\pi\) |
0.988382 | + | 0.151989i | \(0.0485679\pi\) | |||||||
\(912\) | 6.89504 | + | 2.77852i | 0.228318 | + | 0.0920060i | ||||
\(913\) | 40.3989 | + | 7.78625i | 1.33701 | + | 0.257687i | ||||
\(914\) | 2.11469 | − | 0.201928i | 0.0699476 | − | 0.00667919i | ||||
\(915\) | 31.9993 | + | 0.0725770i | 1.05787 | + | 0.00239932i | ||||
\(916\) | 17.4901 | + | 1.67010i | 0.577890 | + | 0.0551818i | ||||
\(917\) | −0.140499 | − | 0.977190i | −0.00463967 | − | 0.0322696i | ||||
\(918\) | 0.225880 | − | 0.904193i | 0.00745516 | − | 0.0298428i | ||||
\(919\) | 24.0305 | 0.792694 | 0.396347 | − | 0.918101i | \(-0.370278\pi\) | ||||
0.396347 | + | 0.918101i | \(0.370278\pi\) | |||||||
\(920\) | −0.947028 | − | 18.3779i | −0.0312226 | − | 0.605900i | ||||
\(921\) | 45.9087 | − | 13.3670i | 1.51274 | − | 0.440457i | ||||
\(922\) | 1.76544 | − | 37.0611i | 0.0581416 | − | 1.22054i | ||||
\(923\) | 18.7182 | − | 14.7202i | 0.616117 | − | 0.484520i | ||||
\(924\) | −1.71527 | + | 0.326558i | −0.0564283 | + | 0.0107430i | ||||
\(925\) | −63.6071 | + | 60.6493i | −2.09139 | + | 1.99414i | ||||
\(926\) | −0.277966 | + | 0.608660i | −0.00913453 | + | 0.0200018i | ||||
\(927\) | −8.74557 | + | 3.45525i | −0.287242 | + | 0.113485i | ||||
\(928\) | 0.225611 | − | 1.56916i | 0.00740604 | − | 0.0515101i | ||||
\(929\) | −8.29060 | + | 34.1743i | −0.272006 | + | 1.12122i | 0.657806 | + | 0.753187i | \(0.271485\pi\) |
−0.929812 | + | 0.368036i | \(0.880030\pi\) | |||||||
\(930\) | −2.13509 | + | 42.7793i | −0.0700123 | + | 1.40279i | ||||
\(931\) | 26.5766 | + | 13.7012i | 0.871012 | + | 0.449038i | ||||
\(932\) | −2.22332 | − | 1.14620i | −0.0728272 | − | 0.0375450i | ||||
\(933\) | 0.479295 | − | 9.60331i | 0.0156914 | − | 0.314398i | ||||
\(934\) | 0.900066 | − | 3.71012i | 0.0294511 | − | 0.121399i | ||||
\(935\) | −0.540931 | + | 3.76226i | −0.0176903 | + | 0.123039i | ||||
\(936\) | −6.41601 | + | 2.53488i | −0.209714 | + | 0.0828550i | ||||
\(937\) | −0.350899 | + | 0.768362i | −0.0114634 | + | 0.0251013i | −0.915277 | − | 0.402825i | \(-0.868028\pi\) |
0.903814 | + | 0.427926i | \(0.140756\pi\) | |||||||
\(938\) | 1.45794 | − | 1.39015i | 0.0476036 | − | 0.0453899i | ||||
\(939\) | −17.5175 | + | 3.33503i | −0.571661 | + | 0.108834i | ||||
\(940\) | 20.0736 | − | 15.7860i | 0.654727 | − | 0.514883i | ||||
\(941\) | −2.37828 | + | 49.9263i | −0.0775298 | + | 1.62755i | 0.540463 | + | 0.841368i | \(0.318249\pi\) |
−0.617993 | + | 0.786183i | \(0.712054\pi\) | |||||||
\(942\) | −1.33299 | + | 0.388120i | −0.0434313 | + | 0.0126456i | ||||
\(943\) | −27.7930 | + | 5.46876i | −0.905066 | + | 0.178087i | ||||
\(944\) | 5.53243 | 0.180065 | ||||||||
\(945\) | −3.49889 | + | 1.00156i | −0.113819 | + | 0.0325807i | ||||
\(946\) | −0.947877 | − | 6.59263i | −0.0308181 | − | 0.214345i | ||||
\(947\) | 17.3836 | + | 1.65993i | 0.564891 | + | 0.0539405i | 0.373595 | − | 0.927592i | \(-0.378125\pi\) |
0.191296 | + | 0.981532i | \(0.438731\pi\) | |||||||
\(948\) | 12.4008 | + | 0.0281261i | 0.402760 | + | 0.000913492i | ||||
\(949\) | 34.6643 | − | 3.31004i | 1.12525 | − | 0.107448i | ||||
\(950\) | −40.9787 | − | 7.89800i | −1.32953 | − | 0.256245i | ||||
\(951\) | −17.2333 | − | 6.94455i | −0.558827 | − | 0.225193i | ||||
\(952\) | 0.00771856 | − | 0.0318164i | 0.000250160 | − | 0.00103117i | ||||
\(953\) | −3.27643 | − | 3.78120i | −0.106134 | − | 0.122485i | 0.700197 | − | 0.713950i | \(-0.253095\pi\) |
−0.806331 | + | 0.591465i | \(0.798550\pi\) | |||||||
\(954\) | −18.3599 | − | 26.0320i | −0.594424 | − | 0.842817i | ||||
\(955\) | 33.2854 | − | 21.3912i | 1.07709 | − | 0.692204i | ||||
\(956\) | −19.9971 | + | 3.85413i | −0.646753 | + | 0.124651i | ||||
\(957\) | 13.4630 | + | 6.97937i | 0.435198 | + | 0.225611i | ||||
\(958\) | −3.70267 | + | 1.48233i | −0.119628 | + | 0.0478918i | ||||
\(959\) | 3.87772 | + | 0.747369i | 0.125218 | + | 0.0241338i | ||||
\(960\) | 6.17562 | − | 2.45611i | 0.199317 | − | 0.0792706i | ||||
\(961\) | 7.62448 | − | 7.26992i | 0.245951 | − | 0.234514i | ||||
\(962\) | 8.63421 | + | 18.9063i | 0.278378 | + | 0.609563i | ||||
\(963\) | 24.7977 | + | 28.8817i | 0.799094 | + | 0.930701i | ||||
\(964\) | 8.69255 | + | 5.58636i | 0.279968 | + | 0.179925i | ||||
\(965\) | −44.5551 | + | 77.1717i | −1.43428 | + | 2.48424i | ||||
\(966\) | −1.40854 | − | 0.561252i | −0.0453190 | − | 0.0180580i | ||||
\(967\) | −1.56835 | − | 2.71647i | −0.0504349 | − | 0.0873557i | 0.839706 | − | 0.543042i | \(-0.182727\pi\) |
−0.890141 | + | 0.455686i | \(0.849394\pi\) | |||||||
\(968\) | −0.927914 | + | 19.4793i | −0.0298243 | + | 0.626089i | ||||
\(969\) | −0.551133 | − | 1.21409i | −0.0177049 | − | 0.0390022i | ||||
\(970\) | −59.3870 | − | 5.67077i | −1.90680 | − | 0.182078i | ||||
\(971\) | −40.8425 | − | 11.9924i | −1.31070 | − | 0.384855i | −0.449570 | − | 0.893245i | \(-0.648423\pi\) |
−0.861127 | + | 0.508390i | \(0.830241\pi\) | |||||||
\(972\) | 0.918256 | − | 15.5614i | 0.0294531 | − | 0.499132i | ||||
\(973\) | −0.0893693 | + | 0.103138i | −0.00286505 | + | 0.00330644i | ||||
\(974\) | −12.6982 | − | 9.98597i | −0.406876 | − | 0.319971i | ||||
\(975\) | 32.6277 | − | 20.8641i | 1.04492 | − | 0.668187i | ||||
\(976\) | −1.57475 | + | 4.54995i | −0.0504066 | + | 0.145640i | ||||
\(977\) | 47.3095 | + | 24.3897i | 1.51357 | + | 0.780297i | 0.997107 | − | 0.0760151i | \(-0.0242197\pi\) |
0.516459 | + | 0.856312i | \(0.327250\pi\) | |||||||
\(978\) | −2.54386 | − | 7.40430i | −0.0813438 | − | 0.236763i | ||||
\(979\) | 9.88245 | − | 1.90469i | 0.315844 | − | 0.0608740i | ||||
\(980\) | 25.6493 | − | 7.53130i | 0.819335 | − | 0.240579i | ||||
\(981\) | −6.58287 | − | 14.5893i | −0.210175 | − | 0.465799i | ||||
\(982\) | −27.1012 | + | 31.2764i | −0.864833 | + | 0.998071i | ||||
\(983\) | −10.0642 | − | 14.1332i | −0.320999 | − | 0.450780i | 0.622274 | − | 0.782800i | \(-0.286209\pi\) |
−0.943272 | + | 0.332020i | \(0.892270\pi\) | |||||||
\(984\) | −5.09496 | − | 8.87114i | −0.162421 | − | 0.282802i | ||||
\(985\) | 5.54390 | − | 7.78532i | 0.176643 | − | 0.248061i | ||||
\(986\) | −0.223505 | + | 0.175766i | −0.00711784 | + | 0.00559753i | ||||
\(987\) | −0.491425 | − | 2.04592i | −0.0156422 | − | 0.0651225i | ||||
\(988\) | −4.93472 | + | 8.54718i | −0.156994 | + | 0.271922i | ||||
\(989\) | 2.38218 | − | 5.27034i | 0.0757488 | − | 0.167587i | ||||
\(990\) | 2.73694 | + | 63.5163i | 0.0869857 | + | 2.01868i | ||||
\(991\) | 0.391026 | + | 0.251297i | 0.0124213 | + | 0.00798271i | 0.546837 | − | 0.837239i | \(-0.315832\pi\) |
−0.534415 | + | 0.845222i | \(0.679468\pi\) | |||||||
\(992\) | −5.98311 | − | 2.39527i | −0.189964 | − | 0.0760501i | ||||
\(993\) | 8.99482 | − | 1.71246i | 0.285442 | − | 0.0543432i | ||||
\(994\) | 0.445639 | + | 1.83695i | 0.0141348 | + | 0.0582645i | ||||
\(995\) | 25.9754 | − | 2.48035i | 0.823477 | − | 0.0786325i | ||||
\(996\) | −5.38670 | + | 11.7248i | −0.170684 | + | 0.371514i | ||||
\(997\) | −18.7180 | − | 14.7200i | −0.592806 | − | 0.466188i | 0.276125 | − | 0.961122i | \(-0.410950\pi\) |
−0.868930 | + | 0.494934i | \(0.835192\pi\) | |||||||
\(998\) | 0.802166 | − | 0.235537i | 0.0253921 | − | 0.00745580i | ||||
\(999\) | −46.9647 | − | 0.319563i | −1.48590 | − | 0.0101105i |
(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 | 414.2.m.a.25.8 | ✓ | 240 | |
9.4 | even | 3 | inner | 414.2.m.a.301.7 | yes | 240 | |
23.12 | even | 11 | inner | 414.2.m.a.403.7 | yes | 240 | |
207.58 | even | 33 | inner | 414.2.m.a.265.8 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
414.2.m.a.25.8 | ✓ | 240 | 1.1 | even | 1 | trivial | |
414.2.m.a.265.8 | yes | 240 | 207.58 | even | 33 | inner | |
414.2.m.a.301.7 | yes | 240 | 9.4 | even | 3 | inner | |
414.2.m.a.403.7 | yes | 240 | 23.12 | even | 11 | inner |