Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [288,2,Mod(35,288)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(288, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("288.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 288 = 2^{5} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 288.w (of order \(8\), 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: | \(2.29969157821\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 35.6 | ||
Character | \(\chi\) | \(=\) | 288.35 |
Dual form | 288.2.w.a.107.6 |
$q$-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 \(\left(\mathbb{Z}/288\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{8}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.430512 | − | 1.34709i | 0.304418 | − | 0.952539i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.62932 | − | 1.15988i | −0.814660 | − | 0.579939i | ||||
\(5\) | 1.78959 | − | 0.741273i | 0.800329 | − | 0.331507i | 0.0552409 | − | 0.998473i | \(-0.482407\pi\) |
0.745088 | + | 0.666966i | \(0.232407\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.33709 | − | 2.33709i | −0.883337 | − | 0.883337i | 0.110535 | − | 0.993872i | \(-0.464744\pi\) |
−0.993872 | + | 0.110535i | \(0.964744\pi\) | |||||||
\(8\) | −2.26391 | + | 1.69550i | −0.800412 | + | 0.599451i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.228123 | − | 2.72987i | −0.0721389 | − | 0.863261i | ||||
\(11\) | −0.683332 | + | 0.283045i | −0.206032 | + | 0.0853413i | −0.483313 | − | 0.875448i | \(-0.660567\pi\) |
0.277281 | + | 0.960789i | \(0.410567\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.43602 | − | 5.88107i | 0.675630 | − | 1.63112i | −0.0962579 | − | 0.995356i | \(-0.530687\pi\) |
0.771888 | − | 0.635759i | \(-0.219313\pi\) | |||||||
\(14\) | −4.15442 | + | 2.14213i | −1.11032 | + | 0.572509i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.30936 | + | 3.77963i | 0.327340 | + | 0.944906i | ||||
\(17\) | 0.967834 | 0.234734 | 0.117367 | − | 0.993089i | \(-0.462555\pi\) | ||||
0.117367 | + | 0.993089i | \(0.462555\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.52772 | − | 1.04702i | −0.579899 | − | 0.240202i | 0.0733991 | − | 0.997303i | \(-0.476615\pi\) |
−0.653298 | + | 0.757100i | \(0.726615\pi\) | |||||||
\(20\) | −3.77560 | − | 0.867939i | −0.844250 | − | 0.194077i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.0871059 | + | 1.04237i | 0.0185710 | + | 0.222233i | ||||
\(23\) | 5.00283 | + | 5.00283i | 1.04316 | + | 1.04316i | 0.999025 | + | 0.0441370i | \(0.0140538\pi\) |
0.0441370 | + | 0.999025i | \(0.485946\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.882385 | + | 0.882385i | −0.176477 | + | 0.176477i | ||||
\(26\) | −6.87361 | − | 5.81341i | −1.34803 | − | 1.14010i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.09712 | + | 6.51861i | 0.207337 | + | 1.23190i | ||||
\(29\) | −0.563403 | + | 1.36018i | −0.104621 | + | 0.252578i | −0.967518 | − | 0.252802i | \(-0.918648\pi\) |
0.862897 | + | 0.505380i | \(0.168648\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 7.28582i | − | 1.30857i | −0.756247 | − | 0.654286i | \(-0.772969\pi\) | ||
0.756247 | − | 0.654286i | \(-0.227031\pi\) | |||||||
\(32\) | 5.65520 | − | 0.136659i | 0.999708 | − | 0.0241581i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.416664 | − | 1.30376i | 0.0714573 | − | 0.223593i | ||||
\(35\) | −5.91486 | − | 2.45001i | −0.999793 | − | 0.414128i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.26572 | + | 7.88415i | 0.536881 | + | 1.29615i | 0.926889 | + | 0.375335i | \(0.122472\pi\) |
−0.390008 | + | 0.920812i | \(0.627528\pi\) | |||||||
\(38\) | −2.49864 | + | 2.95432i | −0.405334 | + | 0.479255i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.79463 | + | 4.71243i | −0.441871 | + | 0.745100i | ||||
\(41\) | 6.80014 | − | 6.80014i | 1.06200 | − | 1.06200i | 0.0640576 | − | 0.997946i | \(-0.479596\pi\) |
0.997946 | − | 0.0640576i | \(-0.0204041\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.36517 | + | 3.29581i | 0.208187 | + | 0.502607i | 0.993138 | − | 0.116951i | \(-0.0373120\pi\) |
−0.784951 | + | 0.619558i | \(0.787312\pi\) | |||||||
\(44\) | 1.44166 | + | 0.331411i | 0.217339 | + | 0.0499621i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 8.89306 | − | 4.58550i | 1.31121 | − | 0.676095i | ||||
\(47\) | 3.69279i | 0.538649i | 0.963050 | + | 0.269324i | \(0.0868004\pi\) | ||||
−0.963050 | + | 0.269324i | \(0.913200\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.92399i | 0.560570i | ||||||||
\(50\) | 0.808777 | + | 1.56853i | 0.114378 | + | 0.221824i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −10.7904 | + | 6.75665i | −1.49636 | + | 0.936979i | ||||
\(53\) | 1.85469 | + | 4.47761i | 0.254761 | + | 0.615047i | 0.998577 | − | 0.0533378i | \(-0.0169860\pi\) |
−0.743816 | + | 0.668385i | \(0.766986\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.01307 | + | 1.01307i | −0.136602 | + | 0.136602i | ||||
\(56\) | 9.25350 | + | 1.32841i | 1.23655 | + | 0.177516i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.58973 | + | 1.34453i | 0.208742 | + | 0.176545i | ||||
\(59\) | 4.05615 | + | 9.79242i | 0.528066 | + | 1.27486i | 0.932788 | + | 0.360425i | \(0.117368\pi\) |
−0.404722 | + | 0.914440i | \(0.632632\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 10.8180 | + | 4.48097i | 1.38511 | + | 0.573730i | 0.945842 | − | 0.324628i | \(-0.105239\pi\) |
0.439265 | + | 0.898358i | \(0.355239\pi\) | |||||||
\(62\) | −9.81468 | − | 3.13663i | −1.24647 | − | 0.398353i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 2.25054 | − | 7.67692i | 0.281318 | − | 0.959615i | ||||
\(65\) | − | 12.3305i | − | 1.52941i | ||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.49290 | − | 3.60418i | 0.182387 | − | 0.440320i | −0.806071 | − | 0.591819i | \(-0.798410\pi\) |
0.988457 | + | 0.151499i | \(0.0484100\pi\) | |||||||
\(68\) | −1.57691 | − | 1.12257i | −0.191229 | − | 0.136132i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −5.84681 | + | 6.91310i | −0.698828 | + | 0.826274i | ||||
\(71\) | 9.85675 | − | 9.85675i | 1.16978 | − | 1.16978i | 0.187520 | − | 0.982261i | \(-0.439955\pi\) |
0.982261 | − | 0.187520i | \(-0.0600450\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.81362 | − | 4.81362i | −0.563391 | − | 0.563391i | 0.366878 | − | 0.930269i | \(-0.380427\pi\) |
−0.930269 | + | 0.366878i | \(0.880427\pi\) | |||||||
\(74\) | 12.0266 | − | 1.00501i | 1.39807 | − | 0.116830i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.90405 | + | 4.63778i | 0.333118 | + | 0.531990i | ||||
\(77\) | 2.25851 | + | 0.935506i | 0.257381 | + | 0.106611i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −11.0160 | −1.23940 | −0.619700 | − | 0.784839i | \(-0.712746\pi\) | ||||
−0.619700 | + | 0.784839i | \(0.712746\pi\) | |||||||
\(80\) | 5.14495 | + | 5.79339i | 0.575223 | + | 0.647721i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −6.23288 | − | 12.0880i | −0.688307 | − | 1.33489i | ||||
\(83\) | −1.15064 | + | 2.77789i | −0.126299 | + | 0.304913i | −0.974363 | − | 0.224981i | \(-0.927768\pi\) |
0.848064 | + | 0.529894i | \(0.177768\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.73203 | − | 0.717429i | 0.187865 | − | 0.0778161i | ||||
\(86\) | 5.02749 | − | 0.420125i | 0.542128 | − | 0.0453033i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.06709 | − | 1.79938i | 0.113753 | − | 0.191814i | ||||
\(89\) | −6.82624 | − | 6.82624i | −0.723580 | − | 0.723580i | 0.245753 | − | 0.969333i | \(-0.420965\pi\) |
−0.969333 | + | 0.245753i | \(0.920965\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −19.4378 | + | 8.05140i | −2.03763 | + | 0.844016i | ||||
\(92\) | −2.34853 | − | 13.9539i | −0.244851 | − | 1.45479i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.97453 | + | 1.58979i | 0.513084 | + | 0.163974i | ||||
\(95\) | −5.29971 | −0.543739 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 7.67976 | 0.779762 | 0.389881 | − | 0.920865i | \(-0.372516\pi\) | ||||
0.389881 | + | 0.920865i | \(0.372516\pi\) | |||||||
\(98\) | 5.28598 | + | 1.68932i | 0.533964 | + | 0.170647i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.46115 | − | 0.414227i | 0.246115 | − | 0.0414227i | ||||
\(101\) | −1.05030 | + | 0.435049i | −0.104509 | + | 0.0432890i | −0.434325 | − | 0.900756i | \(-0.643013\pi\) |
0.329816 | + | 0.944045i | \(0.393013\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 7.06356 | + | 7.06356i | 0.695993 | + | 0.695993i | 0.963544 | − | 0.267551i | \(-0.0862143\pi\) |
−0.267551 | + | 0.963544i | \(0.586214\pi\) | |||||||
\(104\) | 4.45645 | + | 17.4445i | 0.436991 | + | 1.71057i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 6.83022 | − | 0.570771i | 0.663410 | − | 0.0554382i | ||||
\(107\) | −16.1346 | + | 6.68316i | −1.55979 | + | 0.646086i | −0.985053 | − | 0.172253i | \(-0.944895\pi\) |
−0.574737 | + | 0.818338i | \(0.694895\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.771406 | − | 1.86234i | 0.0738873 | − | 0.178380i | −0.882621 | − | 0.470086i | \(-0.844223\pi\) |
0.956508 | + | 0.291706i | \(0.0942230\pi\) | |||||||
\(110\) | 0.928561 | + | 1.80084i | 0.0885348 | + | 0.171703i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 5.77323 | − | 11.8934i | 0.545519 | − | 1.12382i | ||||
\(113\) | −0.726213 | −0.0683163 | −0.0341582 | − | 0.999416i | \(-0.510875\pi\) | ||||
−0.0341582 | + | 0.999416i | \(0.510875\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 12.6615 | + | 5.24456i | 1.18069 | + | 0.489058i | ||||
\(116\) | 2.49560 | − | 1.56268i | 0.231711 | − | 0.145091i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 14.9375 | − | 1.24826i | 1.37511 | − | 0.114912i | ||||
\(119\) | −2.26192 | − | 2.26192i | −0.207350 | − | 0.207350i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.39135 | + | 7.39135i | −0.671941 | + | 0.671941i | ||||
\(122\) | 10.6936 | − | 12.6438i | 0.968151 | − | 1.14471i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −8.45067 | + | 11.8709i | −0.758893 | + | 1.06604i | ||||
\(125\) | −4.63138 | + | 11.1811i | −0.414243 | + | 1.00007i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 11.5686i | − | 1.02654i | −0.858226 | − | 0.513272i | \(-0.828433\pi\) | ||
0.858226 | − | 0.513272i | \(-0.171567\pi\) | |||||||
\(128\) | −9.37264 | − | 6.33669i | −0.828432 | − | 0.560090i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −16.6103 | − | 5.30841i | −1.45682 | − | 0.465578i | ||||
\(131\) | −17.9241 | − | 7.42442i | −1.56604 | − | 0.648674i | −0.579913 | − | 0.814678i | \(-0.696913\pi\) |
−0.986125 | + | 0.166004i | \(0.946913\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.46054 | + | 8.35449i | 0.300067 | + | 0.724426i | ||||
\(134\) | −4.21245 | − | 3.56271i | −0.363900 | − | 0.307772i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.19109 | + | 1.64097i | −0.187884 | + | 0.140712i | ||||
\(137\) | −15.9867 | + | 15.9867i | −1.36584 | + | 1.36584i | −0.499553 | + | 0.866283i | \(0.666503\pi\) |
−0.866283 | + | 0.499553i | \(0.833497\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 0.0365308 | + | 0.0881933i | 0.00309851 | + | 0.00748046i | 0.925421 | − | 0.378940i | \(-0.123711\pi\) |
−0.922323 | + | 0.386421i | \(0.873711\pi\) | |||||||
\(140\) | 6.79547 | + | 10.8524i | 0.574322 | + | 0.917193i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −9.03451 | − | 17.5214i | −0.758159 | − | 1.47036i | ||||
\(143\) | 4.70822i | 0.393721i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.85179i | 0.236828i | ||||||||
\(146\) | −8.55671 | + | 4.41207i | −0.708158 | + | 0.365145i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 3.82376 | − | 16.6336i | 0.314311 | − | 1.36728i | ||||
\(149\) | 5.79476 | + | 13.9898i | 0.474725 | + | 1.14609i | 0.962051 | + | 0.272868i | \(0.0879722\pi\) |
−0.487326 | + | 0.873220i | \(0.662028\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 7.47087 | − | 7.47087i | 0.607971 | − | 0.607971i | −0.334445 | − | 0.942415i | \(-0.608549\pi\) |
0.942415 | + | 0.334445i | \(0.108549\pi\) | |||||||
\(152\) | 7.49775 | − | 1.91541i | 0.608148 | − | 0.155361i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 2.23253 | − | 2.63968i | 0.179902 | − | 0.212711i | ||||
\(155\) | −5.40078 | − | 13.0386i | −0.433801 | − | 1.04729i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −11.0372 | − | 4.57177i | −0.880867 | − | 0.364867i | −0.104034 | − | 0.994574i | \(-0.533175\pi\) |
−0.776833 | + | 0.629707i | \(0.783175\pi\) | |||||||
\(158\) | −4.74253 | + | 14.8396i | −0.377295 | + | 1.18058i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 10.0192 | − | 4.43661i | 0.792087 | − | 0.350745i | ||||
\(161\) | − | 23.3841i | − | 1.84293i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.29972 | + | 7.96624i | −0.258454 | + | 0.623964i | −0.998837 | − | 0.0482221i | \(-0.984644\pi\) |
0.740382 | + | 0.672186i | \(0.234644\pi\) | |||||||
\(164\) | −18.9669 | + | 3.19226i | −1.48107 | + | 0.249274i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.24671 | + | 2.74593i | 0.251994 | + | 0.213126i | ||||
\(167\) | −0.0751100 | + | 0.0751100i | −0.00581218 | + | 0.00581218i | −0.710007 | − | 0.704195i | \(-0.751308\pi\) |
0.704195 | + | 0.710007i | \(0.251308\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −19.4604 | − | 19.4604i | −1.49695 | − | 1.49695i | ||||
\(170\) | −0.220786 | − | 2.64206i | −0.0169335 | − | 0.202637i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.59845 | − | 6.95337i | 0.121880 | − | 0.530189i | ||||
\(173\) | −21.0041 | − | 8.70018i | −1.59691 | − | 0.661463i | −0.605937 | − | 0.795512i | \(-0.707202\pi\) |
−0.990975 | + | 0.134050i | \(0.957202\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.12443 | 0.311777 | ||||||||
\(176\) | −1.96453 | − | 2.21213i | −0.148082 | − | 0.166746i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −12.1344 | + | 6.25680i | −0.909508 | + | 0.468967i | ||||
\(179\) | 4.35530 | − | 10.5146i | 0.325530 | − | 0.785900i | −0.673383 | − | 0.739294i | \(-0.735159\pi\) |
0.998913 | − | 0.0466061i | \(-0.0148406\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.28737 | + | 1.77589i | −0.318677 | + | 0.132001i | −0.536288 | − | 0.844035i | \(-0.680174\pi\) |
0.217610 | + | 0.976036i | \(0.430174\pi\) | |||||||
\(182\) | 2.47778 | + | 29.6507i | 0.183665 | + | 2.19786i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −19.8083 | − | 2.84362i | −1.46028 | − | 0.209635i | ||||
\(185\) | 11.6886 | + | 11.6886i | 0.859364 | + | 0.859364i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.661352 | + | 0.273941i | −0.0483628 | + | 0.0200325i | ||||
\(188\) | 4.28319 | − | 6.01673i | 0.312384 | − | 0.438815i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.28159 | + | 7.13921i | −0.165524 | + | 0.517933i | ||||
\(191\) | 22.2718 | 1.61153 | 0.805766 | − | 0.592234i | \(-0.201754\pi\) | ||||
0.805766 | + | 0.592234i | \(0.201754\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 10.8858 | 0.783575 | 0.391787 | − | 0.920056i | \(-0.371857\pi\) | ||||
0.391787 | + | 0.920056i | \(0.371857\pi\) | |||||||
\(194\) | 3.30623 | − | 10.3454i | 0.237373 | − | 0.742753i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 4.55135 | − | 6.39343i | 0.325096 | − | 0.456673i | ||||
\(197\) | 6.10110 | − | 2.52716i | 0.434686 | − | 0.180053i | −0.154601 | − | 0.987977i | \(-0.549409\pi\) |
0.589286 | + | 0.807924i | \(0.299409\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 10.1086 | + | 10.1086i | 0.716582 | + | 0.716582i | 0.967904 | − | 0.251322i | \(-0.0808653\pi\) |
−0.251322 | + | 0.967904i | \(0.580865\pi\) | |||||||
\(200\) | 0.501550 | − | 3.49372i | 0.0354650 | − | 0.247044i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0.133884 | + | 1.60215i | 0.00942007 | + | 0.112727i | ||||
\(203\) | 4.49558 | − | 1.86213i | 0.315528 | − | 0.130696i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 7.12871 | − | 17.2102i | 0.497891 | − | 1.20201i | ||||
\(206\) | 12.5562 | − | 6.47432i | 0.874833 | − | 0.451087i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 25.4179 | + | 1.50679i | 1.76241 | + | 0.104477i | ||||
\(209\) | 2.02363 | 0.139977 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 18.8236 | + | 7.79698i | 1.29587 | + | 0.536766i | 0.920729 | − | 0.390202i | \(-0.127595\pi\) |
0.375139 | + | 0.926969i | \(0.377595\pi\) | |||||||
\(212\) | 2.17161 | − | 9.44667i | 0.149147 | − | 0.648800i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 2.05671 | + | 24.6120i | 0.140594 | + | 1.68244i | ||||
\(215\) | 4.88619 | + | 4.88619i | 0.333236 | + | 0.333236i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −17.0276 | + | 17.0276i | −1.15591 | + | 1.15591i | ||||
\(218\) | −2.17664 | − | 1.84091i | −0.147421 | − | 0.124682i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 2.82565 | − | 0.475576i | 0.190505 | − | 0.0320633i | ||||
\(221\) | 2.35766 | − | 5.69190i | 0.158593 | − | 0.382879i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 14.8162i | − | 0.992164i | −0.868276 | − | 0.496082i | \(-0.834771\pi\) | ||
0.868276 | − | 0.496082i | \(-0.165229\pi\) | |||||||
\(224\) | −13.5361 | − | 12.8973i | −0.904419 | − | 0.861740i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.312643 | + | 0.978276i | −0.0207967 | + | 0.0650739i | ||||
\(227\) | 11.9755 | + | 4.96040i | 0.794839 | + | 0.329233i | 0.742887 | − | 0.669416i | \(-0.233456\pi\) |
0.0519519 | + | 0.998650i | \(0.483456\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −2.65080 | − | 6.39960i | −0.175170 | − | 0.422897i | 0.811772 | − | 0.583975i | \(-0.198503\pi\) |
−0.986942 | + | 0.161077i | \(0.948503\pi\) | |||||||
\(230\) | 12.5158 | − | 14.7983i | 0.825269 | − | 0.975774i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.03069 | − | 4.03456i | −0.0676681 | − | 0.264882i | ||||
\(233\) | −8.35926 | + | 8.35926i | −0.547634 | + | 0.547634i | −0.925756 | − | 0.378122i | \(-0.876570\pi\) |
0.378122 | + | 0.925756i | \(0.376570\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.73736 | + | 6.60858i | 0.178566 | + | 0.431096i | ||||
\(236\) | 4.74925 | − | 20.6596i | 0.309150 | − | 1.34483i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −4.02079 | + | 2.07323i | −0.260629 | + | 0.134388i | ||||
\(239\) | − | 2.44122i | − | 0.157909i | −0.996878 | − | 0.0789547i | \(-0.974842\pi\) | ||
0.996878 | − | 0.0789547i | \(-0.0251582\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 1.86406i | − | 0.120074i | −0.998196 | − | 0.0600372i | \(-0.980878\pi\) | ||
0.998196 | − | 0.0600372i | \(-0.0191219\pi\) | |||||||
\(242\) | 6.77477 | + | 13.1389i | 0.435499 | + | 0.844600i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −12.4286 | − | 19.8485i | −0.795662 | − | 1.27067i | ||||
\(245\) | 2.90874 | + | 7.02233i | 0.185833 | + | 0.448640i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −12.3152 | + | 12.3152i | −0.783595 | + | 0.783595i | ||||
\(248\) | 12.3531 | + | 16.4944i | 0.784425 | + | 1.04740i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 13.0682 | + | 11.0525i | 0.826504 | + | 0.699023i | ||||
\(251\) | 6.30926 | + | 15.2319i | 0.398237 | + | 0.961430i | 0.988084 | + | 0.153915i | \(0.0491881\pi\) |
−0.589847 | + | 0.807515i | \(0.700812\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −4.83462 | − | 2.00257i | −0.303950 | − | 0.125900i | ||||
\(254\) | −15.5839 | − | 4.98040i | −0.977822 | − | 0.312498i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −12.5711 | + | 9.89780i | −0.785696 | + | 0.618612i | ||||
\(257\) | 5.84660i | 0.364701i | 0.983234 | + | 0.182350i | \(0.0583705\pi\) | ||||
−0.983234 | + | 0.182350i | \(0.941629\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 10.7937 | − | 26.0583i | 0.670687 | − | 1.61918i | ||||
\(260\) | −14.3018 | + | 20.0903i | −0.886962 | + | 1.24594i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −17.7179 | + | 20.9492i | −1.09462 | + | 1.29424i | ||||
\(263\) | 11.4239 | − | 11.4239i | 0.704427 | − | 0.704427i | −0.260930 | − | 0.965358i | \(-0.584029\pi\) |
0.965358 | + | 0.260930i | \(0.0840293\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 6.63826 | + | 6.63826i | 0.407785 | + | 0.407785i | ||||
\(266\) | 12.7441 | − | 1.06497i | 0.781390 | − | 0.0652973i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −6.61281 | + | 4.14077i | −0.403942 | + | 0.252938i | ||||
\(269\) | 2.42511 | + | 1.00451i | 0.147862 | + | 0.0612463i | 0.455387 | − | 0.890294i | \(-0.349501\pi\) |
−0.307525 | + | 0.951540i | \(0.599501\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −10.6956 | −0.649711 | −0.324856 | − | 0.945764i | \(-0.605316\pi\) | ||||
−0.324856 | + | 0.945764i | \(0.605316\pi\) | |||||||
\(272\) | 1.26725 | + | 3.65805i | 0.0768380 | + | 0.221802i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 14.6531 | + | 28.4180i | 0.885227 | + | 1.71680i | ||||
\(275\) | 0.353207 | − | 0.852716i | 0.0212992 | − | 0.0514207i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −13.7497 | + | 5.69533i | −0.826142 | + | 0.342199i | −0.755374 | − | 0.655294i | \(-0.772545\pi\) |
−0.0707678 | + | 0.997493i | \(0.522545\pi\) | |||||||
\(278\) | 0.134532 | − | 0.0112422i | 0.00806866 | − | 0.000674263i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 17.5447 | − | 4.48206i | 1.04850 | − | 0.267854i | ||||
\(281\) | 1.63475 | + | 1.63475i | 0.0975211 | + | 0.0975211i | 0.754184 | − | 0.656663i | \(-0.228033\pi\) |
−0.656663 | + | 0.754184i | \(0.728033\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.75108 | + | 1.96796i | −0.282423 | + | 0.116983i | −0.519398 | − | 0.854532i | \(-0.673844\pi\) |
0.236976 | + | 0.971516i | \(0.423844\pi\) | |||||||
\(284\) | −27.4924 | + | 4.62716i | −1.63138 | + | 0.274571i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 6.34242 | + | 2.02695i | 0.375035 | + | 0.119856i | ||||
\(287\) | −31.7851 | −1.87622 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −16.0633 | −0.944900 | ||||||||
\(290\) | 3.84163 | + | 1.22773i | 0.225588 | + | 0.0720948i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 2.25970 | + | 13.4261i | 0.132239 | + | 0.785705i | ||||
\(293\) | 13.0434 | − | 5.40274i | 0.762001 | − | 0.315631i | 0.0323737 | − | 0.999476i | \(-0.489693\pi\) |
0.729628 | + | 0.683845i | \(0.239693\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 14.5177 | + | 14.5177i | 0.845254 | + | 0.845254i | ||||
\(296\) | −20.7609 | − | 12.3119i | −1.20670 | − | 0.715617i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 21.3403 | − | 1.78331i | 1.23621 | − | 0.103304i | ||||
\(299\) | 41.6090 | − | 17.2350i | 2.40631 | − | 0.996726i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 4.51209 | − | 10.8931i | 0.260072 | − | 0.627870i | ||||
\(302\) | −6.84766 | − | 13.2803i | −0.394039 | − | 0.764193i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.647629 | − | 10.9248i | 0.0371441 | − | 0.626579i | ||||
\(305\) | 22.6815 | 1.29874 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 13.7332 | + | 5.68846i | 0.783793 | + | 0.324658i | 0.738445 | − | 0.674313i | \(-0.235560\pi\) |
0.0453480 | + | 0.998971i | \(0.485560\pi\) | |||||||
\(308\) | −2.59476 | − | 4.14384i | −0.147850 | − | 0.236117i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −19.8894 | + | 1.66207i | −1.12964 | + | 0.0943990i | ||||
\(311\) | −1.93693 | − | 1.93693i | −0.109833 | − | 0.109833i | 0.650055 | − | 0.759888i | \(-0.274746\pi\) |
−0.759888 | + | 0.650055i | \(0.774746\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 20.8065 | − | 20.8065i | 1.17606 | − | 1.17606i | 0.195315 | − | 0.980741i | \(-0.437427\pi\) |
0.980741 | − | 0.195315i | \(-0.0625728\pi\) | |||||||
\(314\) | −10.9103 | + | 12.9000i | −0.615702 | + | 0.727988i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 17.9486 | + | 12.7773i | 1.00969 | + | 0.718777i | ||||
\(317\) | −6.99169 | + | 16.8794i | −0.392692 | + | 0.948043i | 0.596659 | + | 0.802495i | \(0.296495\pi\) |
−0.989351 | + | 0.145548i | \(0.953505\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − | 1.08892i | − | 0.0609678i | ||||||
\(320\) | −1.66314 | − | 15.4068i | −0.0929726 | − | 0.861266i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −31.5006 | − | 10.0672i | −1.75546 | − | 0.561020i | ||||
\(323\) | −2.44642 | − | 1.01334i | −0.136122 | − | 0.0563837i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.03986 | + | 7.33887i | 0.168621 | + | 0.407087i | ||||
\(326\) | 9.31069 | + | 7.87459i | 0.515672 | + | 0.436133i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −3.86522 | + | 26.9245i | −0.213421 | + | 1.48666i | ||||
\(329\) | 8.63039 | − | 8.63039i | 0.475809 | − | 0.475809i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 7.57715 | + | 18.2929i | 0.416478 | + | 1.00547i | 0.983360 | + | 0.181668i | \(0.0581496\pi\) |
−0.566882 | + | 0.823799i | \(0.691850\pi\) | |||||||
\(332\) | 5.09677 | − | 3.19146i | 0.279722 | − | 0.175154i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.0688444 | + | 0.133516i | 0.00376700 | + | 0.00730566i | ||||
\(335\) | − | 7.55664i | − | 0.412863i | ||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 6.73391i | − | 0.366820i | −0.983037 | − | 0.183410i | \(-0.941286\pi\) | ||
0.983037 | − | 0.183410i | \(-0.0587135\pi\) | |||||||
\(338\) | −34.5929 | + | 17.8370i | −1.88161 | + | 0.970207i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −3.65415 | − | 0.840020i | −0.198174 | − | 0.0455565i | ||||
\(341\) | 2.06222 | + | 4.97863i | 0.111675 | + | 0.269608i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −7.18892 | + | 7.18892i | −0.388165 | + | 0.388165i | ||||
\(344\) | −8.67868 | − | 5.14676i | −0.467923 | − | 0.277495i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −20.7625 | + | 24.5489i | −1.11620 | + | 1.31976i | ||||
\(347\) | 2.79644 | + | 6.75121i | 0.150121 | + | 0.362424i | 0.980994 | − | 0.194038i | \(-0.0621585\pi\) |
−0.830873 | + | 0.556462i | \(0.812158\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −3.16816 | − | 1.31229i | −0.169588 | − | 0.0702455i | 0.296274 | − | 0.955103i | \(-0.404256\pi\) |
−0.465862 | + | 0.884857i | \(0.654256\pi\) | |||||||
\(350\) | 1.77561 | − | 5.55599i | 0.0949106 | − | 0.296980i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −3.82570 | + | 1.69406i | −0.203910 | + | 0.0902938i | ||||
\(353\) | 29.8578i | 1.58917i | 0.607151 | + | 0.794586i | \(0.292312\pi\) | ||||
−0.607151 | + | 0.794586i | \(0.707688\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 10.3330 | − | 24.9461i | 0.548419 | − | 1.32400i | ||||
\(356\) | 3.20451 | + | 19.0397i | 0.169839 | + | 1.00910i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −12.2892 | − | 10.3937i | −0.649503 | − | 0.549322i | ||||
\(359\) | 9.44266 | − | 9.44266i | 0.498365 | − | 0.498365i | −0.412564 | − | 0.910929i | \(-0.635367\pi\) |
0.910929 | + | 0.412564i | \(0.135367\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −8.14189 | − | 8.14189i | −0.428521 | − | 0.428521i | ||||
\(362\) | 0.546521 | + | 6.54002i | 0.0287245 | + | 0.343736i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 41.0090 | + | 9.42719i | 2.14946 | + | 0.494119i | ||||
\(365\) | −12.1826 | − | 5.04620i | −0.637667 | − | 0.264130i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 26.8327 | 1.40065 | 0.700327 | − | 0.713822i | \(-0.253038\pi\) | ||||
0.700327 | + | 0.713822i | \(0.253038\pi\) | |||||||
\(368\) | −12.3583 | + | 25.4593i | −0.644222 | + | 1.32716i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 20.7777 | − | 10.7136i | 1.08018 | − | 0.556972i | ||||
\(371\) | 6.13001 | − | 14.7991i | 0.318254 | − | 0.768334i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −12.3312 | + | 5.10777i | −0.638487 | + | 0.264470i | −0.678354 | − | 0.734735i | \(-0.737307\pi\) |
0.0398670 | + | 0.999205i | \(0.487307\pi\) | |||||||
\(374\) | 0.0843041 | + | 1.00884i | 0.00435926 | + | 0.0521657i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −6.26114 | − | 8.36013i | −0.322893 | − | 0.431141i | ||||
\(377\) | 6.62683 | + | 6.62683i | 0.341299 | + | 0.341299i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −5.26078 | + | 2.17909i | −0.270228 | + | 0.111932i | −0.513683 | − | 0.857980i | \(-0.671719\pi\) |
0.243455 | + | 0.969912i | \(0.421719\pi\) | |||||||
\(380\) | 8.63493 | + | 6.14703i | 0.442962 | + | 0.315336i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 9.58828 | − | 30.0022i | 0.490579 | − | 1.53505i | ||||
\(383\) | −8.14683 | −0.416283 | −0.208142 | − | 0.978099i | \(-0.566742\pi\) | ||||
−0.208142 | + | 0.978099i | \(0.566742\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 4.73527 | 0.241332 | ||||||||
\(386\) | 4.68645 | − | 14.6641i | 0.238534 | − | 0.746385i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −12.5128 | − | 8.90760i | −0.635240 | − | 0.452215i | ||||
\(389\) | −8.22236 | + | 3.40581i | −0.416890 | + | 0.172682i | −0.581261 | − | 0.813717i | \(-0.697441\pi\) |
0.164371 | + | 0.986399i | \(0.447441\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 4.84191 | + | 4.84191i | 0.244866 | + | 0.244866i | ||||
\(392\) | −6.65313 | − | 8.88354i | −0.336034 | − | 0.448686i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.777722 | − | 9.30672i | −0.0391811 | − | 0.468866i | ||||
\(395\) | −19.7142 | + | 8.16588i | −0.991927 | + | 0.410870i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −0.328403 | + | 0.792834i | −0.0164821 | + | 0.0397912i | −0.931906 | − | 0.362699i | \(-0.881855\pi\) |
0.915424 | + | 0.402490i | \(0.131855\pi\) | |||||||
\(398\) | 17.9691 | − | 9.26538i | 0.900712 | − | 0.464431i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.49045 | − | 2.17972i | −0.224522 | − | 0.108986i | ||||
\(401\) | −17.3098 | −0.864411 | −0.432206 | − | 0.901775i | \(-0.642265\pi\) | ||||
−0.432206 | + | 0.901775i | \(0.642265\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −42.8484 | − | 17.7484i | −2.13443 | − | 0.884111i | ||||
\(404\) | 2.21588 | + | 0.509388i | 0.110244 | + | 0.0253430i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.573062 | − | 6.85763i | −0.0284406 | − | 0.340338i | ||||
\(407\) | −4.46314 | − | 4.46314i | −0.221230 | − | 0.221230i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 5.00972 | − | 5.00972i | 0.247715 | − | 0.247715i | −0.572317 | − | 0.820032i | \(-0.693955\pi\) |
0.820032 | + | 0.572317i | \(0.193955\pi\) | |||||||
\(410\) | −20.1148 | − | 17.0122i | −0.993398 | − | 0.840175i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −3.31592 | − | 19.7017i | −0.163364 | − | 0.970631i | ||||
\(413\) | 13.4062 | − | 32.3654i | 0.659675 | − | 1.59260i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 5.82422i | 0.285900i | ||||||||
\(416\) | 12.9725 | − | 33.5915i | 0.636028 | − | 1.64696i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.871195 | − | 2.72601i | 0.0426115 | − | 0.133334i | ||||
\(419\) | −7.01103 | − | 2.90406i | −0.342511 | − | 0.141873i | 0.204796 | − | 0.978805i | \(-0.434347\pi\) |
−0.547307 | + | 0.836932i | \(0.684347\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.94749 | + | 9.53009i | 0.192389 | + | 0.464468i | 0.990410 | − | 0.138162i | \(-0.0441195\pi\) |
−0.798021 | + | 0.602630i | \(0.794119\pi\) | |||||||
\(422\) | 18.6070 | − | 22.0004i | 0.905776 | − | 1.07096i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −11.7906 | − | 6.99226i | −0.572604 | − | 0.339574i | ||||
\(425\) | −0.854002 | + | 0.854002i | −0.0414252 | + | 0.0414252i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −14.8103 | − | 35.7552i | −0.716719 | − | 1.73031i | ||||
\(428\) | 34.0401 | + | 7.82516i | 1.64539 | + | 0.378243i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 8.68572 | − | 4.47859i | 0.418863 | − | 0.215977i | ||||
\(431\) | 11.8098i | 0.568858i | 0.958697 | + | 0.284429i | \(0.0918040\pi\) | ||||
−0.958697 | + | 0.284429i | \(0.908196\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 3.26662i | − | 0.156984i | −0.996915 | − | 0.0784919i | \(-0.974990\pi\) | ||
0.996915 | − | 0.0784919i | \(-0.0250105\pi\) | |||||||
\(434\) | 15.6072 | + | 30.2684i | 0.749170 | + | 1.45293i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −3.41695 | + | 2.13961i | −0.163642 | + | 0.102469i | ||||
\(437\) | −7.40772 | − | 17.8838i | −0.354359 | − | 0.855499i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 13.7003 | − | 13.7003i | 0.653877 | − | 0.653877i | −0.300047 | − | 0.953924i | \(-0.597002\pi\) |
0.953924 | + | 0.300047i | \(0.0970024\pi\) | |||||||
\(440\) | 0.575832 | − | 4.01116i | 0.0274517 | − | 0.191224i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −6.65252 | − | 5.62642i | −0.316428 | − | 0.267621i | ||||
\(443\) | 7.53737 | + | 18.1968i | 0.358111 | + | 0.864557i | 0.995566 | + | 0.0940692i | \(0.0299875\pi\) |
−0.637454 | + | 0.770488i | \(0.720012\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −17.2763 | − | 7.15607i | −0.818974 | − | 0.339230i | ||||
\(446\) | −19.9588 | − | 6.37854i | −0.945075 | − | 0.302032i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −23.2014 | + | 12.6819i | −1.09616 | + | 0.599165i | ||||
\(449\) | 2.46488i | 0.116325i | 0.998307 | + | 0.0581625i | \(0.0185241\pi\) | ||||
−0.998307 | + | 0.0581625i | \(0.981476\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2.72200 | + | 6.57150i | −0.128174 | + | 0.309440i | ||||
\(452\) | 1.18323 | + | 0.842319i | 0.0556546 | + | 0.0396193i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 11.8377 | − | 13.9965i | 0.555571 | − | 0.656891i | ||||
\(455\) | −28.8174 | + | 28.8174i | −1.35098 | + | 1.35098i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 3.04617 | + | 3.04617i | 0.142494 | + | 0.142494i | 0.774755 | − | 0.632261i | \(-0.217873\pi\) |
−0.632261 | + | 0.774755i | \(0.717873\pi\) | |||||||
\(458\) | −9.76206 | + | 0.815772i | −0.456151 | + | 0.0381185i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −14.5465 | − | 23.2308i | −0.678236 | − | 1.08314i | ||||
\(461\) | 9.85993 | + | 4.08412i | 0.459223 | + | 0.190216i | 0.600288 | − | 0.799784i | \(-0.295053\pi\) |
−0.141065 | + | 0.990000i | \(0.545053\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −28.1511 | −1.30829 | −0.654147 | − | 0.756367i | \(-0.726972\pi\) | ||||
−0.654147 | + | 0.756367i | \(0.726972\pi\) | |||||||
\(464\) | −5.87865 | − | 0.348491i | −0.272910 | − | 0.0161783i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 7.66194 | + | 14.8595i | 0.354933 | + | 0.688352i | ||||
\(467\) | −0.133756 | + | 0.322916i | −0.00618951 | + | 0.0149428i | −0.926944 | − | 0.375200i | \(-0.877574\pi\) |
0.920755 | + | 0.390142i | \(0.127574\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −11.9123 | + | 4.93425i | −0.550060 | + | 0.227842i | ||||
\(470\) | 10.0808 | − | 0.842412i | 0.464995 | − | 0.0388576i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −25.7858 | − | 15.2919i | −1.18689 | − | 0.703867i | ||||
\(473\) | −1.86573 | − | 1.86573i | −0.0857863 | − | 0.0857863i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 3.15430 | − | 1.30655i | 0.144729 | − | 0.0599487i | ||||
\(476\) | 1.06183 | + | 6.30893i | 0.0486691 | + | 0.289169i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −3.28855 | − | 1.05097i | −0.150415 | − | 0.0480704i | ||||
\(479\) | −25.3551 | −1.15850 | −0.579251 | − | 0.815149i | \(-0.696655\pi\) | ||||
−0.579251 | + | 0.815149i | \(0.696655\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 54.3226 | 2.47690 | ||||||||
\(482\) | −2.51106 | − | 0.802498i | −0.114376 | − | 0.0365528i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 20.6159 | − | 3.46980i | 0.937088 | − | 0.157718i | ||||
\(485\) | 13.7436 | − | 5.69280i | 0.624066 | − | 0.258497i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −15.5211 | − | 15.5211i | −0.703327 | − | 0.703327i | 0.261796 | − | 0.965123i | \(-0.415685\pi\) |
−0.965123 | + | 0.261796i | \(0.915685\pi\) | |||||||
\(488\) | −32.0885 | + | 8.19749i | −1.45258 | + | 0.371083i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 10.7120 | − | 0.895153i | 0.483918 | − | 0.0404389i | ||||
\(491\) | 7.79527 | − | 3.22890i | 0.351795 | − | 0.145718i | −0.199786 | − | 0.979840i | \(-0.564025\pi\) |
0.551581 | + | 0.834121i | \(0.314025\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.545281 | + | 1.31642i | −0.0245582 | + | 0.0592888i | ||||
\(494\) | 11.2878 | + | 21.8915i | 0.507864 | + | 0.984945i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 27.5377 | − | 9.53978i | 1.23648 | − | 0.428349i | ||||
\(497\) | −46.0722 | −2.06662 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −2.14784 | − | 0.889664i | −0.0961504 | − | 0.0398268i | 0.334090 | − | 0.942541i | \(-0.391571\pi\) |
−0.430240 | + | 0.902714i | \(0.641571\pi\) | |||||||
\(500\) | 20.5148 | − | 12.8458i | 0.917449 | − | 0.574482i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 23.2350 | − | 1.94165i | 1.03703 | − | 0.0866600i | ||||
\(503\) | 10.4975 | + | 10.4975i | 0.468062 | + | 0.468062i | 0.901286 | − | 0.433224i | \(-0.142624\pi\) |
−0.433224 | + | 0.901286i | \(0.642624\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.55712 | + | 1.55712i | −0.0692908 | + | 0.0692908i | ||||
\(506\) | −4.77900 | + | 5.65056i | −0.212453 | + | 0.251198i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −13.4181 | + | 18.8489i | −0.595333 | + | 0.836283i | ||||
\(509\) | 8.62373 | − | 20.8195i | 0.382240 | − | 0.922810i | −0.609292 | − | 0.792946i | \(-0.708546\pi\) |
0.991532 | − | 0.129863i | \(-0.0414539\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 22.4997i | 0.995329i | ||||||||
\(512\) | 7.92123 | + | 21.1956i | 0.350072 | + | 0.936723i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 7.87592 | + | 2.51703i | 0.347392 | + | 0.111021i | ||||
\(515\) | 17.8769 | + | 7.40485i | 0.787750 | + | 0.326297i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.04523 | − | 2.52340i | −0.0459690 | − | 0.110979i | ||||
\(518\) | −30.4561 | − | 25.7585i | −1.33816 | − | 1.13176i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 20.9063 | + | 27.9150i | 0.916803 | + | 1.22415i | ||||
\(521\) | −23.6260 | + | 23.6260i | −1.03508 | + | 1.03508i | −0.0357139 | + | 0.999362i | \(0.511370\pi\) |
−0.999362 | + | 0.0357139i | \(0.988630\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −0.967311 | − | 2.33529i | −0.0422975 | − | 0.102115i | 0.901319 | − | 0.433156i | \(-0.142600\pi\) |
−0.943616 | + | 0.331041i | \(0.892600\pi\) | |||||||
\(524\) | 20.5927 | + | 32.8866i | 0.899596 | + | 1.43666i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −10.4709 | − | 20.3072i | −0.456554 | − | 0.885434i | ||||
\(527\) | − | 7.05147i | − | 0.307167i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 27.0566i | 1.17638i | ||||||||
\(530\) | 11.8002 | − | 6.08450i | 0.512568 | − | 0.264294i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 4.05187 | − | 17.6259i | 0.175671 | − | 0.764182i | ||||
\(533\) | −23.4268 | − | 56.5574i | −1.01473 | − | 2.44977i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −23.9203 | + | 23.9203i | −1.03416 | + | 1.03416i | ||||
\(536\) | 2.73111 | + | 10.6907i | 0.117966 | + | 0.461769i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 2.39721 | − | 2.83440i | 0.103351 | − | 0.122199i | ||||
\(539\) | −1.11067 | − | 2.68138i | −0.0478398 | − | 0.115495i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 13.3578 | + | 5.53299i | 0.574298 | + | 0.237882i | 0.650879 | − | 0.759181i | \(-0.274400\pi\) |
−0.0765813 | + | 0.997063i | \(0.524400\pi\) | |||||||
\(542\) | −4.60458 | + | 14.4080i | −0.197784 | + | 0.618875i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 5.47330 | − | 0.132263i | 0.234666 | − | 0.00567072i | ||||
\(545\) | − | 3.90464i | − | 0.167257i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −16.5682 | + | 39.9992i | −0.708406 | + | 1.71024i | −0.00446097 | + | 0.999990i | \(0.501420\pi\) |
−0.703945 | + | 0.710254i | \(0.748580\pi\) | |||||||
\(548\) | 44.5901 | − | 7.50480i | 1.90479 | − | 0.320589i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.996629 | − | 0.842907i | −0.0424964 | − | 0.0359417i | ||||
\(551\) | 2.84825 | − | 2.84825i | 0.121340 | − | 0.121340i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 25.7454 | + | 25.7454i | 1.09481 | + | 1.09481i | ||||
\(554\) | 1.75271 | + | 20.9741i | 0.0744656 | + | 0.891104i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.0427731 | − | 0.186066i | 0.00181398 | − | 0.00789097i | ||||
\(557\) | −5.70924 | − | 2.36484i | −0.241908 | − | 0.100202i | 0.258436 | − | 0.966029i | \(-0.416793\pi\) |
−0.500344 | + | 0.865827i | \(0.666793\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 22.7085 | 0.960467 | ||||||||
\(560\) | 1.51545 | − | 25.5639i | 0.0640394 | − | 1.08027i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 2.90594 | − | 1.49838i | 0.122580 | − | 0.0632055i | ||||
\(563\) | −5.89410 | + | 14.2296i | −0.248407 | + | 0.599707i | −0.998069 | − | 0.0621133i | \(-0.980216\pi\) |
0.749662 | + | 0.661821i | \(0.230216\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.29962 | + | 0.538322i | −0.0546756 | + | 0.0226474i | ||||
\(566\) | 0.605632 | + | 7.24738i | 0.0254566 | + | 0.304630i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −5.60261 | + | 39.0269i | −0.235080 | + | 1.63753i | ||||
\(569\) | −0.242674 | − | 0.242674i | −0.0101734 | − | 0.0101734i | 0.702002 | − | 0.712175i | \(-0.252290\pi\) |
−0.712175 | + | 0.702002i | \(0.752290\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 25.8985 | − | 10.7275i | 1.08382 | − | 0.448933i | 0.231972 | − | 0.972722i | \(-0.425482\pi\) |
0.851848 | + | 0.523789i | \(0.175482\pi\) | |||||||
\(572\) | 5.46097 | − | 7.67120i | 0.228335 | − | 0.320749i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −13.6839 | + | 42.8175i | −0.571153 | + | 1.78717i | ||||
\(575\) | −8.82885 | −0.368188 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 17.7896 | 0.740589 | 0.370294 | − | 0.928914i | \(-0.379257\pi\) | ||||
0.370294 | + | 0.928914i | \(0.379257\pi\) | |||||||
\(578\) | −6.91544 | + | 21.6388i | −0.287644 | + | 0.900054i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 3.30773 | − | 4.64648i | 0.137346 | − | 0.192935i | ||||
\(581\) | 9.18133 | − | 3.80303i | 0.380906 | − | 0.157776i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.53473 | − | 2.53473i | −0.104978 | − | 0.104978i | ||||
\(584\) | 19.0591 | + | 2.73607i | 0.788670 | + | 0.113220i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.66267 | − | 19.8966i | −0.0686842 | − | 0.821920i | ||||
\(587\) | −30.9718 | + | 12.8289i | −1.27834 | + | 0.529507i | −0.915490 | − | 0.402340i | \(-0.868197\pi\) |
−0.362852 | + | 0.931847i | \(0.618197\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −7.62838 | + | 18.4165i | −0.314322 | + | 0.758840i | ||||
\(590\) | 25.8067 | − | 13.3067i | 1.06245 | − | 0.547826i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −25.5231 | + | 22.6664i | −1.04899 | + | 0.931584i | ||||
\(593\) | 41.4635 | 1.70270 | 0.851351 | − | 0.524596i | \(-0.175784\pi\) | ||||
0.851351 | + | 0.524596i | \(0.175784\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −5.72460 | − | 2.37121i | −0.234686 | − | 0.0972100i | ||||
\(596\) | 6.78495 | − | 29.5150i | 0.277922 | − | 1.20898i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −5.30400 | − | 63.4711i | −0.216897 | − | 2.59552i | ||||
\(599\) | −32.9148 | − | 32.9148i | −1.34486 | − | 1.34486i | −0.891145 | − | 0.453719i | \(-0.850097\pi\) |
−0.453719 | − | 0.891145i | \(-0.649903\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −12.5748 | + | 12.5748i | −0.512936 | + | 0.512936i | −0.915425 | − | 0.402489i | \(-0.868145\pi\) |
0.402489 | + | 0.915425i | \(0.368145\pi\) | |||||||
\(602\) | −12.7316 | − | 10.7678i | −0.518900 | − | 0.438864i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −20.8377 | + | 3.50713i | −0.847875 | + | 0.142703i | ||||
\(605\) | −7.74848 | + | 18.7065i | −0.315021 | + | 0.760527i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 46.0240i | 1.86806i | 0.357198 | + | 0.934029i | \(0.383732\pi\) | ||||
−0.357198 | + | 0.934029i | \(0.616268\pi\) | |||||||
\(608\) | −14.4379 | − | 5.57566i | −0.585533 | − | 0.226123i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 9.76464 | − | 30.5540i | 0.395359 | − | 1.23710i | ||||
\(611\) | 21.7176 | + | 8.99570i | 0.878598 | + | 0.363927i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 3.81762 | + | 9.21655i | 0.154192 | + | 0.372253i | 0.982033 | − | 0.188711i | \(-0.0604308\pi\) |
−0.827841 | + | 0.560963i | \(0.810431\pi\) | |||||||
\(614\) | 13.5752 | − | 16.0509i | 0.547850 | − | 0.647762i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −6.69921 | + | 1.71141i | −0.269919 | + | 0.0689548i | ||||
\(617\) | 9.42700 | − | 9.42700i | 0.379517 | − | 0.379517i | −0.491411 | − | 0.870928i | \(-0.663519\pi\) |
0.870928 | + | 0.491411i | \(0.163519\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −10.4213 | − | 25.1593i | −0.418868 | − | 1.01124i | −0.982676 | − | 0.185332i | \(-0.940664\pi\) |
0.563808 | − | 0.825906i | \(-0.309336\pi\) | |||||||
\(620\) | −6.32365 | + | 27.5084i | −0.253964 | + | 1.10476i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −3.44309 | + | 1.77535i | −0.138055 | + | 0.0711851i | ||||
\(623\) | 31.9071i | 1.27833i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 17.2034i | 0.688136i | ||||||||
\(626\) | −19.0709 | − | 36.9858i | −0.762226 | − | 1.47825i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 12.6805 | + | 20.2507i | 0.506006 | + | 0.808092i | ||||
\(629\) | 3.16068 | + | 7.63055i | 0.126024 | + | 0.304250i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 15.7973 | − | 15.7973i | 0.628879 | − | 0.628879i | −0.318907 | − | 0.947786i | \(-0.603316\pi\) |
0.947786 | + | 0.318907i | \(0.103316\pi\) | |||||||
\(632\) | 24.9392 | − | 18.6777i | 0.992030 | − | 0.742959i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 19.7282 | + | 16.6852i | 0.783505 | + | 0.662656i | ||||
\(635\) | −8.57545 | − | 20.7030i | −0.340307 | − | 0.821573i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 23.0772 | + | 9.55891i | 0.914354 | + | 0.378738i | ||||
\(638\) | −1.46688 | − | 0.468793i | −0.0580742 | − | 0.0185597i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −21.4704 | − | 4.39240i | −0.848692 | − | 0.173625i | ||||
\(641\) | 11.2466i | 0.444215i | 0.975022 | + | 0.222107i | \(0.0712936\pi\) | ||||
−0.975022 | + | 0.222107i | \(0.928706\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 4.46309 | − | 10.7749i | 0.176007 | − | 0.424919i | −0.811115 | − | 0.584886i | \(-0.801139\pi\) |
0.987122 | + | 0.159968i | \(0.0511390\pi\) | |||||||
\(644\) | −27.1228 | + | 38.1002i | −1.06879 | + | 1.50136i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −2.41827 | + | 2.85930i | −0.0951457 | + | 0.112497i | ||||
\(647\) | −22.9908 | + | 22.9908i | −0.903861 | + | 0.903861i | −0.995768 | − | 0.0919063i | \(-0.970704\pi\) |
0.0919063 | + | 0.995768i | \(0.470704\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −5.54340 | − | 5.54340i | −0.217597 | − | 0.217597i | ||||
\(650\) | 11.1948 | − | 0.935504i | 0.439098 | − | 0.0366935i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 14.6162 | − | 9.15226i | 0.572414 | − | 0.358430i | ||||
\(653\) | 0.731559 | + | 0.303022i | 0.0286281 | + | 0.0118582i | 0.396952 | − | 0.917840i | \(-0.370068\pi\) |
−0.368323 | + | 0.929698i | \(0.620068\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −37.5804 | −1.46839 | ||||||||
\(656\) | 34.6058 | + | 16.7981i | 1.35113 | + | 0.655857i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −7.91045 | − | 15.3414i | −0.308381 | − | 0.598071i | ||||
\(659\) | 3.48735 | − | 8.41921i | 0.135848 | − | 0.327966i | −0.841286 | − | 0.540590i | \(-0.818201\pi\) |
0.977134 | + | 0.212624i | \(0.0682010\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 22.6551 | − | 9.38406i | 0.881182 | − | 0.364998i | 0.104227 | − | 0.994554i | \(-0.466763\pi\) |
0.776955 | + | 0.629556i | \(0.216763\pi\) | |||||||
\(662\) | 27.9042 | − | 2.33184i | 1.08453 | − | 0.0906293i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2.10498 | − | 8.23979i | −0.0816890 | − | 0.319766i | ||||
\(665\) | 12.3859 | + | 12.3859i | 0.480305 | + | 0.480305i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −9.62334 | + | 3.98612i | −0.372617 | + | 0.154343i | ||||
\(668\) | 0.209497 | − | 0.0352596i | 0.00810567 | − | 0.00136424i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −10.1795 | − | 3.25322i | −0.393268 | − | 0.125683i | ||||
\(671\) | −8.66062 | −0.334340 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −17.3835 | −0.670084 | −0.335042 | − | 0.942203i | \(-0.608751\pi\) | ||||
−0.335042 | + | 0.942203i | \(0.608751\pi\) | |||||||
\(674\) | −9.07121 | − | 2.89903i | −0.349410 | − | 0.111666i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 9.13549 | + | 54.2789i | 0.351365 | + | 2.08765i | ||||
\(677\) | −39.4502 | + | 16.3408i | −1.51620 | + | 0.628029i | −0.976825 | − | 0.214040i | \(-0.931338\pi\) |
−0.539371 | + | 0.842068i | \(0.681338\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −17.9483 | − | 17.9483i | −0.688793 | − | 0.688793i | ||||
\(680\) | −2.70474 | + | 4.56085i | −0.103722 | + | 0.174901i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 7.59449 | − | 0.634638i | 0.290808 | − | 0.0243016i | ||||
\(683\) | 40.6471 | − | 16.8366i | 1.55532 | − | 0.644234i | 0.571049 | − | 0.820916i | \(-0.306536\pi\) |
0.984268 | + | 0.176682i | \(0.0565365\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −16.7591 | + | 40.4602i | −0.640334 | + | 1.54590i | ||||
\(686\) | 6.58923 | + | 12.7791i | 0.251578 | + | 0.487907i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −10.6694 | + | 9.47525i | −0.406769 | + | 0.361240i | ||||
\(689\) | 30.8512 | 1.17534 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −0.769203 | − | 0.318614i | −0.0292619 | − | 0.0121207i | 0.368005 | − | 0.929824i | \(-0.380041\pi\) |
−0.397266 | + | 0.917703i | \(0.630041\pi\) | |||||||
\(692\) | 24.1312 | + | 38.5376i | 0.917331 | + | 1.46498i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 10.2984 | − | 0.860593i | 0.390922 | − | 0.0326677i | ||||
\(695\) | 0.130751 | + | 0.130751i | 0.00495965 | + | 0.00495965i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 6.58141 | − | 6.58141i | 0.249289 | − | 0.249289i | ||||
\(698\) | −3.13171 | + | 3.70285i | −0.118537 | + | 0.140155i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −6.72001 | − | 4.78384i | −0.253992 | − | 0.180812i | ||||
\(701\) | 10.7572 | − | 25.9701i | 0.406292 | − | 0.980876i | −0.579812 | − | 0.814750i | \(-0.696874\pi\) |
0.986105 | − | 0.166126i | \(-0.0531259\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 23.3482i | − | 0.880595i | ||||||
\(704\) | 0.635050 | + | 5.88289i | 0.0239343 | + | 0.221720i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 40.2213 | + | 12.8542i | 1.51375 | + | 0.483773i | ||||
\(707\) | 3.47140 | + | 1.43790i | 0.130555 | + | 0.0540778i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −13.7081 | − | 33.0944i | −0.514820 | − | 1.24289i | −0.941049 | − | 0.338270i | \(-0.890158\pi\) |
0.426229 | − | 0.904615i | \(-0.359842\pi\) | |||||||
\(710\) | −29.1562 | − | 24.6591i | −1.09421 | − | 0.925440i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 27.0279 | + | 3.88005i | 1.01291 | + | 0.145411i | ||||
\(713\) | 36.4497 | − | 36.4497i | 1.36505 | − | 1.36505i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.49008 | + | 8.42579i | 0.130522 | + | 0.315107i | ||||
\(716\) | −19.2919 | + | 12.0801i | −0.720971 | + | 0.451453i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −8.65497 | − | 16.7853i | −0.323001 | − | 0.626423i | ||||
\(719\) | − | 24.7319i | − | 0.922345i | −0.887311 | − | 0.461172i | \(-0.847429\pi\) | ||
0.887311 | − | 0.461172i | \(-0.152571\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | − | 33.0163i | − | 1.22959i | ||||||
\(722\) | −14.4731 | + | 7.46270i | −0.538632 | + | 0.277733i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 9.04530 | + | 2.07934i | 0.336166 | + | 0.0772781i | ||||
\(725\) | −0.703060 | − | 1.69734i | −0.0261110 | − | 0.0630375i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 4.89101 | − | 4.89101i | 0.181397 | − | 0.181397i | −0.610567 | − | 0.791965i | \(-0.709058\pi\) |
0.791965 | + | 0.610567i | \(0.209058\pi\) | |||||||
\(728\) | 30.3542 | − | 51.1844i | 1.12500 | − | 1.89702i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −12.0425 | + | 14.2386i | −0.445711 | + | 0.526996i | ||||
\(731\) | 1.32126 | + | 3.18980i | 0.0488685 | + | 0.117979i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −10.2058 | − | 4.22736i | −0.376958 | − | 0.156141i | 0.186156 | − | 0.982520i | \(-0.440397\pi\) |
−0.563114 | + | 0.826379i | \(0.690397\pi\) | |||||||
\(734\) | 11.5518 | − | 36.1461i | 0.426384 | − | 1.33418i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 28.9757 | + | 27.6083i | 1.06806 | + | 1.01766i | ||||
\(737\) | 2.88540i | 0.106285i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 1.71029 | − | 4.12900i | 0.0629139 | − | 0.151888i | −0.889296 | − | 0.457332i | \(-0.848805\pi\) |
0.952210 | + | 0.305445i | \(0.0988051\pi\) | |||||||
\(740\) | −5.48710 | − | 32.6019i | −0.201710 | − | 1.19847i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −17.2968 | − | 14.6289i | −0.634985 | − | 0.537044i | ||||
\(743\) | −12.6977 | + | 12.6977i | −0.465832 | + | 0.465832i | −0.900561 | − | 0.434729i | \(-0.856844\pi\) |
0.434729 | + | 0.900561i | \(0.356844\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 20.7405 | + | 20.7405i | 0.759873 | + | 0.759873i | ||||
\(746\) | 1.57189 | + | 18.8103i | 0.0575511 | + | 0.688693i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 1.39529 | + | 0.320751i | 0.0510169 | + | 0.0117278i | ||||
\(749\) | 53.3272 | + | 22.0888i | 1.94853 | + | 0.807108i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −25.3864 | −0.926362 | −0.463181 | − | 0.886264i | \(-0.653292\pi\) | ||||
−0.463181 | + | 0.886264i | \(0.653292\pi\) | |||||||
\(752\) | −13.9574 | + | 4.83520i | −0.508973 | + | 0.176322i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 11.7799 | − | 6.07402i | 0.428998 | − | 0.221203i | ||||
\(755\) | 7.83185 | − | 18.9078i | 0.285030 | − | 0.688123i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 48.9351 | − | 20.2696i | 1.77858 | − | 0.736711i | 0.785554 | − | 0.618793i | \(-0.212378\pi\) |
0.993023 | − | 0.117918i | \(-0.0376220\pi\) | |||||||
\(758\) | 0.670604 | + | 8.02488i | 0.0243574 | + | 0.291477i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 11.9981 | − | 8.98568i | 0.435215 | − | 0.325945i | ||||
\(761\) | −7.18378 | − | 7.18378i | −0.260412 | − | 0.260412i | 0.564809 | − | 0.825221i | \(-0.308950\pi\) |
−0.825221 | + | 0.564809i | \(0.808950\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −6.15530 | + | 2.54961i | −0.222837 | + | 0.0923020i | ||||
\(764\) | −36.2879 | − | 25.8326i | −1.31285 | − | 0.934591i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −3.50731 | + | 10.9745i | −0.126724 | + | 0.396526i | ||||
\(767\) | 67.4708 | 2.43623 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −48.6570 | −1.75462 | −0.877309 | − | 0.479926i | \(-0.840663\pi\) | ||||
−0.877309 | + | 0.479926i | \(0.840663\pi\) | |||||||
\(770\) | 2.03859 | − | 6.37885i | 0.0734657 | − | 0.229878i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −17.7364 | − | 12.6262i | −0.638347 | − | 0.454426i | ||||
\(773\) | −7.43579 | + | 3.08000i | −0.267447 | + | 0.110780i | −0.512377 | − | 0.858761i | \(-0.671235\pi\) |
0.244930 | + | 0.969541i | \(0.421235\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 6.42890 | + | 6.42890i | 0.230933 | + | 0.230933i | ||||
\(776\) | −17.3863 | + | 13.0211i | −0.624130 | + | 0.467429i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 1.04812 | + | 12.5425i | 0.0375770 | + | 0.449671i | ||||
\(779\) | −24.3087 | + | 10.0690i | −0.870951 | + | 0.360760i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −3.94552 | + | 9.52534i | −0.141182 | + | 0.340843i | ||||
\(782\) | 8.60700 | − | 4.43800i | 0.307786 | − | 0.158703i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −14.8312 | + | 5.13792i | −0.529686 | + | 0.183497i | ||||
\(785\) | −23.1411 | −0.825940 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 14.9915 | + | 6.20966i | 0.534388 | + | 0.221351i | 0.633524 | − | 0.773723i | \(-0.281608\pi\) |
−0.0991360 | + | 0.995074i | \(0.531608\pi\) | |||||||
\(788\) | −12.8718 | − | 2.95899i | −0.458540 | − | 0.105410i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 2.51301 | + | 30.0723i | 0.0894090 | + | 1.06993i | ||||
\(791\) | 1.69722 | + | 1.69722i | 0.0603464 | + | 0.0603464i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 52.7058 | − | 52.7058i | 1.87164 | − | 1.87164i | ||||
\(794\) | 0.926640 | + | 0.783713i | 0.0328852 | + | 0.0278129i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −4.74540 | − | 28.1950i | −0.168196 | − | 0.999344i | ||||
\(797\) | −2.43692 | + | 5.88325i | −0.0863202 | + | 0.208395i | −0.961145 | − | 0.276044i | \(-0.910976\pi\) |
0.874825 | + | 0.484439i | \(0.160976\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 3.57401i | 0.126439i | ||||||||
\(800\) | −4.86948 | + | 5.11065i | −0.172162 | + | 0.180689i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −7.45208 | + | 23.3179i | −0.263142 | + | 0.823385i | ||||
\(803\) | 4.65177 | + | 1.92682i | 0.164157 | + | 0.0679962i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −17.3340 | − | 41.8480i | −0.610944 | − | 1.47495i | ||||
\(806\) | −42.3555 | + | 50.0799i | −1.49191 | + | 1.76399i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 1.64016 | − | 2.76570i | 0.0577005 | − | 0.0972969i | ||||
\(809\) | −9.30765 | + | 9.30765i | −0.327240 | + | 0.327240i | −0.851536 | − | 0.524296i | \(-0.824328\pi\) |
0.524296 | + | 0.851536i | \(0.324328\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −8.10599 | − | 19.5696i | −0.284640 | − | 0.687181i | 0.715292 | − | 0.698825i | \(-0.246294\pi\) |
−0.999932 | + | 0.0116440i | \(0.996294\pi\) | |||||||
\(812\) | −9.48458 | − | 2.18032i | −0.332843 | − | 0.0765143i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −7.93370 | + | 4.09083i | −0.278076 | + | 0.143384i | ||||
\(815\) | 16.7023i | 0.585056i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 9.76026i | − | 0.341468i | ||||||
\(818\) | −4.59182 | − | 8.90530i | −0.160549 | − | 0.311367i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −31.5767 | + | 19.7725i | −1.10271 | + | 0.690486i | ||||
\(821\) | −3.81353 | − | 9.20668i | −0.133093 | − | 0.321315i | 0.843257 | − | 0.537511i | \(-0.180635\pi\) |
−0.976350 | + | 0.216195i | \(0.930635\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −16.5761 | + | 16.5761i | −0.577808 | + | 0.577808i | −0.934299 | − | 0.356491i | \(-0.883973\pi\) |
0.356491 | + | 0.934299i | \(0.383973\pi\) | |||||||
\(824\) | −27.9675 | − | 4.01495i | −0.974294 | − | 0.139867i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −37.8277 | − | 31.9930i | −1.31619 | − | 1.11318i | ||||
\(827\) | 11.1677 | + | 26.9613i | 0.388340 | + | 0.937537i | 0.990292 | + | 0.139004i | \(0.0443901\pi\) |
−0.601951 | + | 0.798533i | \(0.705610\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 8.82768 | + | 3.65654i | 0.306598 | + | 0.126997i | 0.530678 | − | 0.847574i | \(-0.321938\pi\) |
−0.224080 | + | 0.974571i | \(0.571938\pi\) | |||||||
\(830\) | 7.84577 | + | 2.50740i | 0.272331 | + | 0.0870330i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −39.6661 | − | 31.9367i | −1.37518 | − | 1.10721i | ||||
\(833\) | 3.79777i | 0.131585i | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.0787391 | + | 0.190093i | −0.00272488 | + | 0.00657844i | ||||
\(836\) | −3.29713 | − | 2.34716i | −0.114034 | − | 0.0811783i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −6.93037 | + | 8.19427i | −0.239406 | + | 0.283066i | ||||
\(839\) | 4.55814 | − | 4.55814i | 0.157364 | − | 0.157364i | −0.624033 | − | 0.781398i | \(-0.714507\pi\) |
0.781398 | + | 0.624033i | \(0.214507\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 18.9734 | + | 18.9734i | 0.654257 | + | 0.654257i | ||||
\(842\) | 14.5374 | − | 1.21482i | 0.500990 | − | 0.0418656i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −21.6261 | − | 34.5368i | −0.744399 | − | 1.18881i | ||||
\(845\) | −49.2516 | − | 20.4007i | −1.69431 | − | 0.701805i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 34.5485 | 1.18710 | ||||||||
\(848\) | −14.4952 | + | 12.8728i | −0.497768 | + | 0.442055i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0.782762 | + | 1.51808i | 0.0268485 | + | 0.0520697i | ||||
\(851\) | −23.1052 | + | 55.7809i | −0.792037 | + | 1.91215i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 13.7268 | − | 5.68583i | 0.469997 | − | 0.194679i | −0.135098 | − | 0.990832i | \(-0.543135\pi\) |
0.605095 | + | 0.796153i | \(0.293135\pi\) | |||||||
\(854\) | −54.5415 | + | 4.55780i | −1.86637 | + | 0.155965i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 25.1959 | − | 42.4863i | 0.861177 | − | 1.45215i | ||||
\(857\) | −11.1744 | − | 11.1744i | −0.381711 | − | 0.381711i | 0.490007 | − | 0.871718i | \(-0.336994\pi\) |
−0.871718 | + | 0.490007i | \(0.836994\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 39.1836 | − | 16.2304i | 1.33693 | − | 0.553773i | 0.404304 | − | 0.914625i | \(-0.367514\pi\) |
0.932623 | + | 0.360851i | \(0.117514\pi\) | |||||||
\(860\) | −2.29378 | − | 13.6286i | −0.0782171 | − | 0.464730i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 15.9089 | + | 5.08426i | 0.541859 | + | 0.173171i | ||||
\(863\) | −22.2298 | −0.756710 | −0.378355 | − | 0.925661i | \(-0.623510\pi\) | ||||
−0.378355 | + | 0.925661i | \(0.623510\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −44.0379 | −1.49733 | ||||||||
\(866\) | −4.40044 | − | 1.40632i | −0.149533 | − | 0.0477887i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 47.4934 | − | 7.99345i | 1.61203 | − | 0.271316i | ||||
\(869\) | 7.52760 | − | 3.11803i | 0.255356 | − | 0.105772i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −17.5597 | − | 17.5597i | −0.594987 | − | 0.594987i | ||||
\(872\) | 1.41121 | + | 5.52408i | 0.0477896 | + | 0.187069i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −27.2803 | + | 2.27969i | −0.922769 | + | 0.0771118i | ||||
\(875\) | 36.9553 | − | 15.3074i | 1.24932 | − | 0.517484i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 3.13025 | − | 7.55709i | 0.105701 | − | 0.255185i | −0.862176 | − | 0.506609i | \(-0.830899\pi\) |
0.967877 | + | 0.251424i | \(0.0808989\pi\) | |||||||
\(878\) | −12.5574 | − | 24.3536i | −0.423792 | − | 0.821895i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −5.15550 | − | 2.50255i | −0.173792 | − | 0.0843610i | ||||
\(881\) | −4.77921 | −0.161016 | −0.0805078 | − | 0.996754i | \(-0.525654\pi\) | ||||
−0.0805078 | + | 0.996754i | \(0.525654\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −45.1752 | − | 18.7122i | −1.52027 | − | 0.629716i | −0.542622 | − | 0.839977i | \(-0.682569\pi\) |
−0.977645 | + | 0.210261i | \(0.932569\pi\) | |||||||
\(884\) | −10.4433 | + | 6.53932i | −0.351246 | + | 0.219941i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 27.7578 | − | 2.31959i | 0.932540 | − | 0.0779283i | ||||
\(887\) | 6.92890 | + | 6.92890i | 0.232650 | + | 0.232650i | 0.813798 | − | 0.581148i | \(-0.197396\pi\) |
−0.581148 | + | 0.813798i | \(0.697396\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −27.0368 | + | 27.0368i | −0.906784 | + | 0.906784i | ||||
\(890\) | −17.0775 | + | 20.1920i | −0.572440 | + | 0.676836i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −17.1850 | + | 24.1403i | −0.575395 | + | 0.808276i | ||||
\(893\) | 3.86641 | − | 9.33435i | 0.129385 | − | 0.312362i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | − | 22.0453i | − | 0.736894i | ||||||
\(896\) | 7.09529 | + | 36.7141i | 0.237037 | + | 1.22653i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 3.32043 | + | 1.06116i | 0.110804 | + | 0.0354114i | ||||
\(899\) | 9.91000 | + | 4.10486i | 0.330517 | + | 0.136905i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1.79503 | + | 4.33358i | 0.0598011 | + | 0.144373i | ||||
\(902\) | 7.68057 | + | 6.49590i | 0.255735 | + | 0.216290i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 1.64408 | − | 1.23130i | 0.0546812 | − | 0.0409523i | ||||
\(905\) | −6.35622 | + | 6.35622i | −0.211288 | + | 0.211288i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 14.4242 | + | 34.8230i | 0.478946 | + | 1.15628i | 0.960104 | + | 0.279644i | \(0.0902166\pi\) |
−0.481157 | + | 0.876634i | \(0.659783\pi\) | |||||||
\(908\) | −13.7584 | − | 21.9722i | −0.456588 | − | 0.729172i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 26.4135 | + | 51.2260i | 0.875599 | + | 1.69812i | ||||
\(911\) | − | 44.7402i | − | 1.48231i | −0.671335 | − | 0.741154i | \(-0.734279\pi\) | ||
0.671335 | − | 0.741154i | \(-0.265721\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 2.22390i | − | 0.0736004i | ||||||
\(914\) | 5.41488 | − | 2.79206i | 0.179108 | − | 0.0923531i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −3.10376 | + | 13.5016i | −0.102551 | + | 0.446105i | ||||
\(917\) | 24.5388 | + | 59.2418i | 0.810342 | + | 1.95634i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 25.4709 | − | 25.4709i | 0.840207 | − | 0.840207i | −0.148678 | − | 0.988886i | \(-0.547502\pi\) |
0.988886 | + | 0.148678i | \(0.0475019\pi\) | |||||||
\(920\) | −37.5566 | + | 9.59439i | −1.23820 | + | 0.316318i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 9.74650 | − | 11.5240i | 0.320984 | − | 0.379522i | ||||
\(923\) | −33.9570 | − | 81.9795i | −1.11771 | − | 2.69839i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −9.83848 | − | 4.07523i | −0.323487 | − | 0.133993i | ||||
\(926\) | −12.1194 | + | 37.9222i | −0.398268 | + | 1.24620i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −3.00028 | + | 7.76906i | −0.0984890 | + | 0.255032i | ||||
\(929\) | 23.0747i | 0.757058i | 0.925589 | + | 0.378529i | \(0.123570\pi\) | ||||
−0.925589 | + | 0.378529i | \(0.876430\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 4.10848 | − | 9.91875i | 0.134650 | − | 0.325074i | ||||
\(932\) | 23.3156 | − | 3.92418i | 0.763729 | − | 0.128541i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0.377415 | + | 0.319202i | 0.0123494 | + | 0.0104446i | ||||
\(935\) | −0.980484 | + | 0.980484i | −0.0320652 | + | 0.0320652i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 6.57961 | + | 6.57961i | 0.214947 | + | 0.214947i | 0.806365 | − | 0.591418i | \(-0.201432\pi\) |
−0.591418 | + | 0.806365i | \(0.701432\pi\) | |||||||
\(938\) | 1.51849 | + | 18.1713i | 0.0495805 | + | 0.593313i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 3.20511 | − | 13.9425i | 0.104539 | − | 0.454754i | ||||
\(941\) | 40.5076 | + | 16.7788i | 1.32051 | + | 0.546973i | 0.927934 | − | 0.372746i | \(-0.121584\pi\) |
0.392577 | + | 0.919719i | \(0.371584\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 68.0399 | 2.21569 | ||||||||
\(944\) | −31.7007 | + | 28.1526i | −1.03177 | + | 0.916288i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −3.31653 | + | 1.71009i | −0.107830 | + | 0.0555999i | ||||
\(947\) | −21.7966 | + | 52.6218i | −0.708296 | + | 1.70998i | −0.00407986 | + | 0.999992i | \(0.501299\pi\) |
−0.704216 | + | 0.709986i | \(0.748701\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −40.0353 | + | 16.5831i | −1.29960 | + | 0.538312i | ||||
\(950\) | −0.402086 | − | 4.81162i | −0.0130454 | − | 0.156109i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 8.95585 | + | 1.28568i | 0.290261 | + | 0.0416691i | ||||
\(953\) | −24.5821 | − | 24.5821i | −0.796293 | − | 0.796293i | 0.186216 | − | 0.982509i | \(-0.440378\pi\) |
−0.982509 | + | 0.186216i | \(0.940378\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 39.8574 | − | 16.5095i | 1.28976 | − | 0.534234i | ||||
\(956\) | −2.83152 | + | 3.97753i | −0.0915779 | + | 0.128642i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −10.9157 | + | 34.1556i | −0.352669 | + | 1.10352i | ||||
\(959\) | 74.7248 | 2.41299 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −22.0832 | −0.712362 | ||||||||
\(962\) | 23.3865 | − | 73.1776i | 0.754012 | − | 2.35934i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −2.16208 | + | 3.03714i | −0.0696359 | + | 0.0978198i | ||||
\(965\) | 19.4811 | − | 8.06932i | 0.627118 | − | 0.259761i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −19.1878 | − | 19.1878i | −0.617037 | − | 0.617037i | 0.327734 | − | 0.944770i | \(-0.393715\pi\) |
−0.944770 | + | 0.327734i | \(0.893715\pi\) | |||||||
\(968\) | 4.20126 | − | 29.2654i | 0.135034 | − | 0.940624i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −1.75193 | − | 20.9648i | −0.0562512 | − | 0.673138i | ||||
\(971\) | −35.5982 | + | 14.7453i | −1.14240 | + | 0.473198i | −0.871979 | − | 0.489544i | \(-0.837163\pi\) |
−0.270422 | + | 0.962742i | \(0.587163\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0.120740 | − | 0.291492i | 0.00387074 | − | 0.00934479i | ||||
\(974\) | −27.5903 | + | 14.2263i | −0.884051 | + | 0.455841i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −2.77169 | + | 46.7553i | −0.0887197 | + | 1.49660i | ||||
\(977\) | −10.7488 | −0.343885 | −0.171943 | − | 0.985107i | \(-0.555004\pi\) | ||||
−0.171943 | + | 0.985107i | \(0.555004\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 6.59672 | + | 2.73245i | 0.210832 | + | 0.0873295i | ||||
\(980\) | 3.40578 | − | 14.8154i | 0.108794 | − | 0.473261i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −0.993681 | − | 11.8910i | −0.0317096 | − | 0.379458i | ||||
\(983\) | 15.2745 | + | 15.2745i | 0.487181 | + | 0.487181i | 0.907416 | − | 0.420234i | \(-0.138052\pi\) |
−0.420234 | + | 0.907416i | \(0.638052\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 9.04516 | − | 9.04516i | 0.288203 | − | 0.288203i | ||||
\(986\) | 1.53860 | + | 1.30128i | 0.0489989 | + | 0.0414412i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 34.3494 | − | 5.78123i | 1.09280 | − | 0.183925i | ||||
\(989\) | −9.65868 | + | 23.3181i | −0.307128 | + | 0.741473i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 15.5708i | 0.494622i | 0.968936 | + | 0.247311i | \(0.0795469\pi\) | ||||
−0.968936 | + | 0.247311i | \(0.920453\pi\) | |||||||
\(992\) | −0.995670 | − | 41.2028i | −0.0316126 | − | 1.30819i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −19.8346 | + | 62.0636i | −0.629117 | + | 1.96854i | ||||
\(995\) | 25.5836 | + | 10.5971i | 0.811053 | + | 0.335949i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −1.71754 | − | 4.14652i | −0.0543951 | − | 0.131321i | 0.894346 | − | 0.447376i | \(-0.147642\pi\) |
−0.948741 | + | 0.316055i | \(0.897642\pi\) | |||||||
\(998\) | −2.12313 | + | 2.51033i | −0.0672065 | + | 0.0794630i | ||||
\(999\) | 0 | 0 |
(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 | 288.2.w.a.35.6 | ✓ | 32 | |
3.2 | odd | 2 | 288.2.w.b.35.3 | yes | 32 | ||
4.3 | odd | 2 | 1152.2.w.b.431.7 | 32 | |||
12.11 | even | 2 | 1152.2.w.a.431.2 | 32 | |||
32.11 | odd | 8 | 288.2.w.b.107.3 | yes | 32 | ||
32.21 | even | 8 | 1152.2.w.a.719.2 | 32 | |||
96.11 | even | 8 | inner | 288.2.w.a.107.6 | yes | 32 | |
96.53 | odd | 8 | 1152.2.w.b.719.7 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
288.2.w.a.35.6 | ✓ | 32 | 1.1 | even | 1 | trivial | |
288.2.w.a.107.6 | yes | 32 | 96.11 | even | 8 | inner | |
288.2.w.b.35.3 | yes | 32 | 3.2 | odd | 2 | ||
288.2.w.b.107.3 | yes | 32 | 32.11 | odd | 8 | ||
1152.2.w.a.431.2 | 32 | 12.11 | even | 2 | |||
1152.2.w.a.719.2 | 32 | 32.21 | even | 8 | |||
1152.2.w.b.431.7 | 32 | 4.3 | odd | 2 | |||
1152.2.w.b.719.7 | 32 | 96.53 | odd | 8 |