Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(11,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([24, 15, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bl (of order \(48\), degree \(16\), 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: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 419.2 | ||
Character | \(\chi\) | \(=\) | 576.419 |
Dual form | 576.2.bl.a.11.2 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(e\left(\frac{11}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41165 | − | 0.0851593i | −0.998185 | − | 0.0602167i | ||||
\(3\) | −1.66601 | + | 0.473724i | −0.961871 | + | 0.273505i | ||||
\(4\) | 1.98550 | + | 0.240430i | 0.992748 | + | 0.120215i | ||||
\(5\) | −1.72799 | + | 0.852148i | −0.772778 | + | 0.381092i | −0.785528 | − | 0.618827i | \(-0.787608\pi\) |
0.0127492 | + | 0.999919i | \(0.495942\pi\) | |||||||
\(6\) | 2.39216 | − | 0.526855i | 0.976595 | − | 0.215088i | ||||
\(7\) | 0.749706 | − | 0.977036i | 0.283362 | − | 0.369285i | −0.629887 | − | 0.776687i | \(-0.716899\pi\) |
0.913249 | + | 0.407402i | \(0.133565\pi\) | |||||||
\(8\) | −2.78234 | − | 0.508485i | −0.983707 | − | 0.179777i | ||||
\(9\) | 2.55117 | − | 1.57846i | 0.850390 | − | 0.526152i | ||||
\(10\) | 2.51187 | − | 1.05578i | 0.794324 | − | 0.333866i | ||||
\(11\) | −1.03280 | + | 0.905738i | −0.311400 | + | 0.273090i | −0.800752 | − | 0.598996i | \(-0.795567\pi\) |
0.489352 | + | 0.872086i | \(0.337233\pi\) | |||||||
\(12\) | −3.42175 | + | 0.540019i | −0.987774 | + | 0.155890i | ||||
\(13\) | 1.67090 | − | 0.109517i | 0.463425 | − | 0.0303745i | 0.168097 | − | 0.985770i | \(-0.446238\pi\) |
0.295328 | + | 0.955396i | \(0.404571\pi\) | |||||||
\(14\) | −1.14152 | + | 1.31539i | −0.305085 | + | 0.351552i | ||||
\(15\) | 2.47516 | − | 2.23827i | 0.639082 | − | 0.577920i | ||||
\(16\) | 3.88439 | + | 0.954745i | 0.971097 | + | 0.238686i | ||||
\(17\) | 2.19144 | − | 2.19144i | 0.531502 | − | 0.531502i | −0.389517 | − | 0.921019i | \(-0.627358\pi\) |
0.921019 | + | 0.389517i | \(0.127358\pi\) | |||||||
\(18\) | −3.73577 | + | 2.01097i | −0.880530 | + | 0.473990i | ||||
\(19\) | −0.262896 | − | 0.393452i | −0.0603126 | − | 0.0902642i | 0.800088 | − | 0.599883i | \(-0.204786\pi\) |
−0.860400 | + | 0.509619i | \(0.829786\pi\) | |||||||
\(20\) | −3.63579 | + | 1.27648i | −0.812987 | + | 0.285429i | ||||
\(21\) | −0.786172 | + | 1.98290i | −0.171557 | + | 0.432705i | ||||
\(22\) | 1.53508 | − | 1.19063i | 0.327279 | − | 0.253843i | ||||
\(23\) | −1.13581 | − | 1.48022i | −0.236833 | − | 0.308646i | 0.659783 | − | 0.751456i | \(-0.270648\pi\) |
−0.896615 | + | 0.442810i | \(0.853982\pi\) | |||||||
\(24\) | 4.87629 | − | 0.470922i | 0.995369 | − | 0.0961266i | ||||
\(25\) | −0.784031 | + | 1.02177i | −0.156806 | + | 0.204354i | ||||
\(26\) | −2.36805 | + | 0.0123061i | −0.464413 | + | 0.00241343i | ||||
\(27\) | −3.50252 | + | 3.83827i | −0.674060 | + | 0.738676i | ||||
\(28\) | 1.72345 | − | 1.75965i | 0.325701 | − | 0.332543i | ||||
\(29\) | 2.37989 | + | 7.01094i | 0.441935 | + | 1.30190i | 0.908675 | + | 0.417505i | \(0.137095\pi\) |
−0.466740 | + | 0.884395i | \(0.654571\pi\) | |||||||
\(30\) | −3.68466 | + | 2.94887i | −0.672723 | + | 0.538388i | ||||
\(31\) | 0.773053 | − | 1.33897i | 0.138844 | − | 0.240486i | −0.788215 | − | 0.615400i | \(-0.788995\pi\) |
0.927059 | + | 0.374914i | \(0.122328\pi\) | |||||||
\(32\) | −5.40208 | − | 1.67855i | −0.954962 | − | 0.296729i | ||||
\(33\) | 1.29158 | − | 1.99823i | 0.224835 | − | 0.347847i | ||||
\(34\) | −3.28016 | + | 2.90692i | −0.562543 | + | 0.498532i | ||||
\(35\) | −0.462902 | + | 2.32716i | −0.0782447 | + | 0.393363i | ||||
\(36\) | 5.44485 | − | 2.52064i | 0.907475 | − | 0.420107i | ||||
\(37\) | 1.46296 | + | 0.977517i | 0.240509 | + | 0.160703i | 0.669983 | − | 0.742376i | \(-0.266301\pi\) |
−0.429475 | + | 0.903079i | \(0.641301\pi\) | |||||||
\(38\) | 0.337611 | + | 0.577804i | 0.0547677 | + | 0.0937322i | ||||
\(39\) | −2.73186 | + | 0.974002i | −0.437447 | + | 0.155965i | ||||
\(40\) | 5.24116 | − | 1.49231i | 0.828699 | − | 0.235956i | ||||
\(41\) | −1.02065 | + | 0.783171i | −0.159398 | + | 0.122311i | −0.685381 | − | 0.728185i | \(-0.740364\pi\) |
0.525983 | + | 0.850495i | \(0.323698\pi\) | |||||||
\(42\) | 1.27866 | − | 2.73221i | 0.197302 | − | 0.421589i | ||||
\(43\) | −6.95908 | + | 6.10295i | −1.06125 | + | 0.930691i | −0.997733 | − | 0.0672903i | \(-0.978565\pi\) |
−0.0635157 | + | 0.997981i | \(0.520231\pi\) | |||||||
\(44\) | −2.26838 | + | 1.55002i | −0.341971 | + | 0.233675i | ||||
\(45\) | −3.06331 | + | 4.90152i | −0.456651 | + | 0.730676i | ||||
\(46\) | 1.47731 | + | 2.18627i | 0.217817 | + | 0.322348i | ||||
\(47\) | −2.32556 | + | 8.67912i | −0.339218 | + | 1.26598i | 0.560005 | + | 0.828489i | \(0.310799\pi\) |
−0.899223 | + | 0.437490i | \(0.855867\pi\) | |||||||
\(48\) | −6.92371 | + | 0.249514i | −0.999351 | + | 0.0360143i | ||||
\(49\) | 1.41919 | + | 5.29650i | 0.202742 | + | 0.756643i | ||||
\(50\) | 1.19379 | − | 1.37561i | 0.168827 | − | 0.194541i | ||||
\(51\) | −2.61282 | + | 4.68909i | −0.365868 | + | 0.656604i | ||||
\(52\) | 3.34390 | + | 0.184290i | 0.463716 | + | 0.0255564i | ||||
\(53\) | 3.48275 | − | 0.692761i | 0.478392 | − | 0.0951581i | 0.0499964 | − | 0.998749i | \(-0.484079\pi\) |
0.428395 | + | 0.903591i | \(0.359079\pi\) | |||||||
\(54\) | 5.27119 | − | 5.12002i | 0.717318 | − | 0.696746i | ||||
\(55\) | 1.01283 | − | 2.44520i | 0.136570 | − | 0.329710i | ||||
\(56\) | −2.58275 | + | 2.33724i | −0.345134 | + | 0.312326i | ||||
\(57\) | 0.624376 | + | 0.530955i | 0.0827006 | + | 0.0703267i | ||||
\(58\) | −2.76252 | − | 10.0996i | −0.362737 | − | 1.32615i | ||||
\(59\) | 6.06064 | + | 12.2898i | 0.789028 | + | 1.59999i | 0.799962 | + | 0.600051i | \(0.204853\pi\) |
−0.0109331 | + | 0.999940i | \(0.503480\pi\) | |||||||
\(60\) | 5.45256 | − | 3.84898i | 0.703922 | − | 0.496902i | ||||
\(61\) | 3.11847 | + | 9.18671i | 0.399279 | + | 1.17624i | 0.941794 | + | 0.336191i | \(0.109139\pi\) |
−0.542515 | + | 0.840046i | \(0.682528\pi\) | |||||||
\(62\) | −1.20530 | + | 1.82432i | −0.153074 | + | 0.231689i | ||||
\(63\) | 0.370420 | − | 3.67597i | 0.0466685 | − | 0.463128i | ||||
\(64\) | 7.48289 | + | 2.82956i | 0.935361 | + | 0.353695i | ||||
\(65\) | −2.79397 | + | 1.61310i | −0.346549 | + | 0.200080i | ||||
\(66\) | −1.99342 | + | 2.71080i | −0.245373 | + | 0.333677i | ||||
\(67\) | −6.27596 | − | 5.50387i | −0.766731 | − | 0.672405i | 0.183825 | − | 0.982959i | \(-0.441152\pi\) |
−0.950556 | + | 0.310554i | \(0.899485\pi\) | |||||||
\(68\) | 4.87798 | − | 3.82420i | 0.591542 | − | 0.463753i | ||||
\(69\) | 2.59348 | + | 1.92799i | 0.312219 | + | 0.232103i | ||||
\(70\) | 0.851634 | − | 3.24571i | 0.101790 | − | 0.387937i | ||||
\(71\) | 1.01633 | − | 0.420977i | 0.120616 | − | 0.0499608i | −0.321559 | − | 0.946889i | \(-0.604207\pi\) |
0.442175 | + | 0.896929i | \(0.354207\pi\) | |||||||
\(72\) | −7.90086 | + | 3.09458i | −0.931125 | + | 0.364699i | ||||
\(73\) | 8.19258 | + | 3.39348i | 0.958870 | + | 0.397177i | 0.806557 | − | 0.591156i | \(-0.201328\pi\) |
0.152312 | + | 0.988332i | \(0.451328\pi\) | |||||||
\(74\) | −1.98194 | − | 1.50449i | −0.230395 | − | 0.174894i | ||||
\(75\) | 0.822166 | − | 2.07369i | 0.0949355 | − | 0.239449i | ||||
\(76\) | −0.427382 | − | 0.844406i | −0.0490241 | − | 0.0968600i | ||||
\(77\) | 0.110645 | + | 1.68812i | 0.0126092 | + | 0.192379i | ||||
\(78\) | 3.93936 | − | 1.14230i | 0.446045 | − | 0.129341i | ||||
\(79\) | −1.95474 | + | 7.29518i | −0.219925 | + | 0.820771i | 0.764449 | + | 0.644684i | \(0.223011\pi\) |
−0.984374 | + | 0.176088i | \(0.943656\pi\) | |||||||
\(80\) | −7.52575 | + | 1.66029i | −0.841404 | + | 0.185626i | ||||
\(81\) | 4.01695 | − | 8.05383i | 0.446328 | − | 0.894870i | ||||
\(82\) | 1.50749 | − | 1.01864i | 0.166474 | − | 0.112490i | ||||
\(83\) | −9.95929 | − | 4.91138i | −1.09317 | − | 0.539094i | −0.195925 | − | 0.980619i | \(-0.562771\pi\) |
−0.897249 | + | 0.441525i | \(0.854438\pi\) | |||||||
\(84\) | −2.03769 | + | 3.74803i | −0.222330 | + | 0.408944i | ||||
\(85\) | −1.91934 | + | 5.65420i | −0.208182 | + | 0.613284i | ||||
\(86\) | 10.3435 | − | 8.02258i | 1.11537 | − | 0.865097i | ||||
\(87\) | −7.28618 | − | 10.5529i | −0.781160 | − | 1.13139i | ||||
\(88\) | 3.33415 | − | 1.99491i | 0.355422 | − | 0.212658i | ||||
\(89\) | 3.53756 | − | 1.46530i | 0.374980 | − | 0.155322i | −0.187230 | − | 0.982316i | \(-0.559951\pi\) |
0.562211 | + | 0.826994i | \(0.309951\pi\) | |||||||
\(90\) | 4.74172 | − | 6.65835i | 0.499821 | − | 0.701852i | ||||
\(91\) | 1.14568 | − | 1.71464i | 0.120100 | − | 0.179743i | ||||
\(92\) | −1.89926 | − | 3.21205i | −0.198011 | − | 0.334879i | ||||
\(93\) | −0.653613 | + | 2.59695i | −0.0677765 | + | 0.269291i | ||||
\(94\) | 4.02198 | − | 12.0538i | 0.414836 | − | 1.24326i | ||||
\(95\) | 0.789561 | + | 0.455853i | 0.0810072 | + | 0.0467695i | ||||
\(96\) | 9.79508 | + | 0.237392i | 0.999706 | + | 0.0242287i | ||||
\(97\) | −5.80249 | + | 3.35007i | −0.589154 | + | 0.340148i | −0.764763 | − | 0.644312i | \(-0.777144\pi\) |
0.175609 | + | 0.984460i | \(0.443811\pi\) | |||||||
\(98\) | −1.55235 | − | 7.59765i | −0.156811 | − | 0.767478i | ||||
\(99\) | −1.20517 | + | 3.94092i | −0.121124 | + | 0.396077i | ||||
\(100\) | −1.80235 | + | 1.84021i | −0.180235 | + | 0.184021i | ||||
\(101\) | 7.54370 | + | 0.494440i | 0.750626 | + | 0.0491987i | 0.435914 | − | 0.899988i | \(-0.356425\pi\) |
0.314713 | + | 0.949187i | \(0.398092\pi\) | |||||||
\(102\) | 4.08770 | − | 6.39684i | 0.404742 | − | 0.633381i | ||||
\(103\) | 0.121885 | − | 0.925806i | 0.0120097 | − | 0.0912224i | −0.984390 | − | 0.175999i | \(-0.943684\pi\) |
0.996400 | + | 0.0847768i | \(0.0270177\pi\) | |||||||
\(104\) | −4.70471 | − | 0.544916i | −0.461335 | − | 0.0534334i | ||||
\(105\) | −0.331235 | − | 4.09636i | −0.0323252 | − | 0.399764i | ||||
\(106\) | −4.97540 | + | 0.681346i | −0.483254 | + | 0.0661782i | ||||
\(107\) | −14.5703 | + | 2.89822i | −1.40857 | + | 0.280181i | −0.840059 | − | 0.542496i | \(-0.817479\pi\) |
−0.568509 | + | 0.822677i | \(0.692479\pi\) | |||||||
\(108\) | −7.87708 | + | 6.77877i | −0.757972 | + | 0.652287i | ||||
\(109\) | 1.16949 | − | 0.781430i | 0.112017 | − | 0.0748474i | −0.498300 | − | 0.867005i | \(-0.666042\pi\) |
0.610317 | + | 0.792157i | \(0.291042\pi\) | |||||||
\(110\) | −1.63800 | + | 3.36550i | −0.156177 | + | 0.320888i | ||||
\(111\) | −2.90037 | − | 0.935514i | −0.275291 | − | 0.0887951i | ||||
\(112\) | 3.84497 | − | 3.07941i | 0.363315 | − | 0.290977i | ||||
\(113\) | −2.14511 | + | 0.574782i | −0.201795 | + | 0.0540709i | −0.358301 | − | 0.933606i | \(-0.616644\pi\) |
0.156505 | + | 0.987677i | \(0.449977\pi\) | |||||||
\(114\) | −0.836182 | − | 0.802692i | −0.0783157 | − | 0.0751790i | ||||
\(115\) | 3.22403 | + | 1.58991i | 0.300642 | + | 0.148260i | ||||
\(116\) | 3.03963 | + | 14.4924i | 0.282223 | + | 1.34558i | ||||
\(117\) | 4.08989 | − | 2.91684i | 0.378111 | − | 0.269662i | ||||
\(118\) | −7.50890 | − | 17.8649i | −0.691250 | − | 1.64460i | ||||
\(119\) | −0.498180 | − | 3.78405i | −0.0456680 | − | 0.346883i | ||||
\(120\) | −8.02487 | + | 4.96907i | −0.732567 | + | 0.453612i | ||||
\(121\) | −1.18948 | + | 9.03501i | −0.108135 | + | 0.821364i | ||||
\(122\) | −3.61984 | − | 13.2340i | −0.327725 | − | 1.19815i | ||||
\(123\) | 1.32940 | − | 1.78828i | 0.119868 | − | 0.161243i | ||||
\(124\) | 1.85682 | − | 2.47265i | 0.166748 | − | 0.222051i | ||||
\(125\) | 2.36348 | − | 11.8820i | 0.211396 | − | 1.06276i | ||||
\(126\) | −0.835944 | + | 5.15762i | −0.0744718 | + | 0.459477i | ||||
\(127\) | − | 11.9551i | − | 1.06084i | −0.847734 | − | 0.530421i | \(-0.822034\pi\) | ||
0.847734 | − | 0.530421i | \(-0.177966\pi\) | |||||||
\(128\) | −10.3222 | − | 4.63158i | −0.912365 | − | 0.409378i | ||||
\(129\) | 8.70277 | − | 13.4642i | 0.766236 | − | 1.18546i | ||||
\(130\) | 4.08147 | − | 2.03919i | 0.357969 | − | 0.178849i | ||||
\(131\) | 9.66608 | − | 11.0221i | 0.844530 | − | 0.963001i | −0.155161 | − | 0.987889i | \(-0.549590\pi\) |
0.999690 | + | 0.0248878i | \(0.00792286\pi\) | |||||||
\(132\) | 3.04486 | − | 3.65694i | 0.265021 | − | 0.318296i | ||||
\(133\) | −0.581512 | − | 0.0381143i | −0.0504235 | − | 0.00330493i | ||||
\(134\) | 8.39074 | + | 8.30398i | 0.724849 | + | 0.717354i | ||||
\(135\) | 2.78153 | − | 9.61715i | 0.239396 | − | 0.827712i | ||||
\(136\) | −7.21165 | + | 4.98302i | −0.618394 | + | 0.427291i | ||||
\(137\) | 12.4251 | − | 1.63579i | 1.06155 | − | 0.139755i | 0.420527 | − | 0.907280i | \(-0.361845\pi\) |
0.641019 | + | 0.767525i | \(0.278512\pi\) | |||||||
\(138\) | −3.49690 | − | 2.94250i | −0.297676 | − | 0.250483i | ||||
\(139\) | 0.309346 | − | 0.911305i | 0.0262384 | − | 0.0772959i | −0.933022 | − | 0.359820i | \(-0.882838\pi\) |
0.959260 | + | 0.282524i | \(0.0911716\pi\) | |||||||
\(140\) | −1.47861 | + | 4.50928i | −0.124965 | + | 0.381104i | ||||
\(141\) | −0.237098 | − | 15.5612i | −0.0199673 | − | 1.31049i | ||||
\(142\) | −1.47055 | + | 0.507722i | −0.123406 | + | 0.0426070i | ||||
\(143\) | −1.62651 | + | 1.62651i | −0.136015 | + | 0.136015i | ||||
\(144\) | 11.4168 | − | 3.69562i | 0.951397 | − | 0.307968i | ||||
\(145\) | −10.0868 | − | 10.0868i | −0.837662 | − | 0.837662i | ||||
\(146\) | −11.2761 | − | 5.48807i | −0.933213 | − | 0.454196i | ||||
\(147\) | −4.87347 | − | 8.15171i | −0.401957 | − | 0.672342i | ||||
\(148\) | 2.66967 | + | 2.29260i | 0.219446 | + | 0.188450i | ||||
\(149\) | 0.888105 | + | 0.301471i | 0.0727564 | + | 0.0246975i | 0.357580 | − | 0.933882i | \(-0.383602\pi\) |
−0.284824 | + | 0.958580i | \(0.591935\pi\) | |||||||
\(150\) | −1.33720 | + | 2.85730i | −0.109182 | + | 0.233298i | ||||
\(151\) | −1.26369 | − | 9.59866i | −0.102837 | − | 0.781128i | −0.962694 | − | 0.270592i | \(-0.912781\pi\) |
0.859857 | − | 0.510535i | \(-0.170553\pi\) | |||||||
\(152\) | 0.531404 | + | 1.22840i | 0.0431025 | + | 0.0996363i | ||||
\(153\) | 2.13164 | − | 9.04983i | 0.172333 | − | 0.731635i | ||||
\(154\) | −0.0124329 | − | 2.39245i | −0.00100187 | − | 0.192789i | ||||
\(155\) | −0.194826 | + | 2.97247i | −0.0156488 | + | 0.238755i | ||||
\(156\) | −5.65827 | + | 1.27706i | −0.453024 | + | 0.102246i | ||||
\(157\) | 16.2627 | + | 14.2620i | 1.29791 | + | 1.13823i | 0.981884 | + | 0.189481i | \(0.0606805\pi\) |
0.316022 | + | 0.948752i | \(0.397653\pi\) | |||||||
\(158\) | 3.38065 | − | 10.1318i | 0.268950 | − | 0.806039i | ||||
\(159\) | −5.47411 | + | 2.80401i | −0.434125 | + | 0.222372i | ||||
\(160\) | 10.7651 | − | 1.70285i | 0.851055 | − | 0.134622i | ||||
\(161\) | −2.29775 | −0.181088 | ||||||||
\(162\) | −6.35637 | + | 11.0271i | −0.499404 | + | 0.866369i | ||||
\(163\) | −1.02062 | − | 0.203014i | −0.0799412 | − | 0.0159013i | 0.154958 | − | 0.987921i | \(-0.450476\pi\) |
−0.234899 | + | 0.972020i | \(0.575476\pi\) | |||||||
\(164\) | −2.21479 | + | 1.30959i | −0.172946 | + | 0.102262i | ||||
\(165\) | −0.529042 | + | 4.55352i | −0.0411858 | + | 0.354491i | ||||
\(166\) | 13.6408 | + | 7.78126i | 1.05873 | + | 0.603943i | ||||
\(167\) | 18.5031 | + | 2.43598i | 1.43181 | + | 0.188502i | 0.806205 | − | 0.591636i | \(-0.201518\pi\) |
0.625608 | + | 0.780138i | \(0.284851\pi\) | |||||||
\(168\) | 3.19568 | − | 5.11737i | 0.246552 | − | 0.394814i | ||||
\(169\) | −10.1089 | + | 1.33086i | −0.777605 | + | 0.102374i | ||||
\(170\) | 3.19094 | − | 7.81829i | 0.244734 | − | 0.599635i | ||||
\(171\) | −1.29174 | − | 0.588794i | −0.0987819 | − | 0.0450262i | ||||
\(172\) | −15.2845 | + | 10.4442i | −1.16544 | + | 0.796363i | ||||
\(173\) | −0.701684 | + | 1.42288i | −0.0533481 | + | 0.108179i | −0.921914 | − | 0.387394i | \(-0.873375\pi\) |
0.868566 | + | 0.495573i | \(0.165042\pi\) | |||||||
\(174\) | 9.38684 | + | 15.5174i | 0.711614 | + | 1.17637i | ||||
\(175\) | 0.410512 | + | 1.53205i | 0.0310318 | + | 0.115812i | ||||
\(176\) | −4.87653 | + | 2.53218i | −0.367582 | + | 0.190870i | ||||
\(177\) | −15.9190 | − | 17.6038i | −1.19655 | − | 1.32318i | ||||
\(178\) | −5.11857 | + | 1.76724i | −0.383653 | + | 0.132460i | ||||
\(179\) | 7.60903 | + | 11.3877i | 0.568726 | + | 0.851158i | 0.998663 | − | 0.0517009i | \(-0.0164642\pi\) |
−0.429937 | + | 0.902859i | \(0.641464\pi\) | |||||||
\(180\) | −7.26066 | + | 8.99545i | −0.541177 | + | 0.670481i | ||||
\(181\) | −1.99219 | − | 10.0154i | −0.148078 | − | 0.744439i | −0.981449 | − | 0.191725i | \(-0.938592\pi\) |
0.833371 | − | 0.552715i | \(-0.186408\pi\) | |||||||
\(182\) | −1.76332 | + | 2.32290i | −0.130706 | + | 0.172185i | ||||
\(183\) | −9.54736 | − | 13.8278i | −0.705761 | − | 1.02218i | ||||
\(184\) | 2.40755 | + | 4.69601i | 0.177487 | + | 0.346195i | ||||
\(185\) | −3.36096 | − | 0.442479i | −0.247103 | − | 0.0325317i | ||||
\(186\) | 1.14382 | − | 3.61031i | 0.0838693 | − | 0.264721i | ||||
\(187\) | −0.278440 | + | 4.24818i | −0.0203616 | + | 0.310658i | ||||
\(188\) | −6.70411 | + | 16.6732i | −0.488948 | + | 1.21602i | ||||
\(189\) | 1.12427 | + | 6.29967i | 0.0817787 | + | 0.458233i | ||||
\(190\) | −1.07576 | − | 0.710742i | −0.0780439 | − | 0.0515627i | ||||
\(191\) | 7.85381 | + | 13.6032i | 0.568282 | + | 0.984293i | 0.996736 | + | 0.0807296i | \(0.0257250\pi\) |
−0.428454 | + | 0.903564i | \(0.640942\pi\) | |||||||
\(192\) | −13.8070 | − | 1.16926i | −0.996433 | − | 0.0843838i | ||||
\(193\) | −2.04795 | + | 3.54716i | −0.147415 | + | 0.255330i | −0.930271 | − | 0.366872i | \(-0.880429\pi\) |
0.782856 | + | 0.622202i | \(0.213762\pi\) | |||||||
\(194\) | 8.47636 | − | 4.23498i | 0.608568 | − | 0.304054i | ||||
\(195\) | 3.89062 | − | 4.01101i | 0.278613 | − | 0.287234i | ||||
\(196\) | 1.54437 | + | 10.8574i | 0.110312 | + | 0.775528i | ||||
\(197\) | −17.2745 | − | 11.5424i | −1.23076 | − | 0.822364i | −0.241764 | − | 0.970335i | \(-0.577726\pi\) |
−0.988992 | + | 0.147971i | \(0.952726\pi\) | |||||||
\(198\) | 2.03688 | − | 5.46055i | 0.144755 | − | 0.388065i | ||||
\(199\) | 4.77676 | + | 11.5321i | 0.338616 | + | 0.817490i | 0.997849 | + | 0.0655521i | \(0.0208809\pi\) |
−0.659234 | + | 0.751938i | \(0.729119\pi\) | |||||||
\(200\) | 2.70100 | − | 2.44425i | 0.190989 | − | 0.172834i | ||||
\(201\) | 13.0631 | + | 6.19642i | 0.921401 | + | 0.437062i | ||||
\(202\) | −10.6069 | − | 1.34039i | −0.746302 | − | 0.0943096i | ||||
\(203\) | 8.63417 | + | 2.93090i | 0.606000 | + | 0.205709i | ||||
\(204\) | −6.31514 | + | 8.68197i | −0.442148 | + | 0.607860i | ||||
\(205\) | 1.09629 | − | 2.22305i | 0.0765680 | − | 0.155265i | ||||
\(206\) | −0.250899 | + | 1.29653i | −0.0174810 | + | 0.0903337i | ||||
\(207\) | −5.23410 | − | 1.98346i | −0.363795 | − | 0.137860i | ||||
\(208\) | 6.59499 | + | 1.16988i | 0.457280 | + | 0.0811166i | ||||
\(209\) | 0.627883 | + | 0.168241i | 0.0434316 | + | 0.0116375i | ||||
\(210\) | 0.118744 | + | 5.81083i | 0.00819409 | + | 0.400985i | ||||
\(211\) | −3.32454 | + | 0.217902i | −0.228871 | + | 0.0150010i | −0.179407 | − | 0.983775i | \(-0.557418\pi\) |
−0.0494639 | + | 0.998776i | \(0.515751\pi\) | |||||||
\(212\) | 7.08154 | − | 0.538119i | 0.486362 | − | 0.0369581i | ||||
\(213\) | −1.49379 | + | 1.18281i | −0.102353 | + | 0.0810449i | ||||
\(214\) | 20.8150 | − | 2.85046i | 1.42288 | − | 0.194854i | ||||
\(215\) | 6.82457 | − | 16.4760i | 0.465432 | − | 1.12365i | ||||
\(216\) | 11.6969 | − | 8.89842i | 0.795875 | − | 0.605461i | ||||
\(217\) | −0.728657 | − | 1.75913i | −0.0494645 | − | 0.119418i | ||||
\(218\) | −1.71746 | + | 1.00351i | −0.116321 | + | 0.0679663i | ||||
\(219\) | −15.2565 | − | 1.77254i | −1.03094 | − | 0.119777i | ||||
\(220\) | 2.59888 | − | 4.61141i | 0.175216 | − | 0.310901i | ||||
\(221\) | 3.42168 | − | 3.90168i | 0.230167 | − | 0.262455i | ||||
\(222\) | 4.01464 | + | 1.56761i | 0.269445 | + | 0.105211i | ||||
\(223\) | 9.45489 | + | 16.3763i | 0.633146 | + | 1.09664i | 0.986905 | + | 0.161305i | \(0.0515701\pi\) |
−0.353759 | + | 0.935337i | \(0.615097\pi\) | |||||||
\(224\) | −5.68998 | + | 4.01960i | −0.380178 | + | 0.268571i | ||||
\(225\) | −0.387379 | + | 3.84427i | −0.0258253 | + | 0.256284i | ||||
\(226\) | 3.07709 | − | 0.628712i | 0.204685 | − | 0.0418213i | ||||
\(227\) | 11.3514 | − | 3.85328i | 0.753419 | − | 0.255751i | 0.0818006 | − | 0.996649i | \(-0.473933\pi\) |
0.671618 | + | 0.740898i | \(0.265600\pi\) | |||||||
\(228\) | 1.11204 | + | 1.20433i | 0.0736465 | + | 0.0797585i | ||||
\(229\) | −13.7569 | + | 6.78417i | −0.909084 | + | 0.448311i | −0.835821 | − | 0.549002i | \(-0.815008\pi\) |
−0.0732631 | + | 0.997313i | \(0.523341\pi\) | |||||||
\(230\) | −4.41579 | − | 2.51895i | −0.291169 | − | 0.166095i | ||||
\(231\) | −0.984037 | − | 2.76000i | −0.0647449 | − | 0.181595i | ||||
\(232\) | −3.05672 | − | 20.7170i | −0.200684 | − | 1.36014i | ||||
\(233\) | −1.17227 | − | 0.485572i | −0.0767982 | − | 0.0318109i | 0.343954 | − | 0.938987i | \(-0.388234\pi\) |
−0.420752 | + | 0.907176i | \(0.638234\pi\) | |||||||
\(234\) | −6.02188 | + | 3.76926i | −0.393663 | + | 0.246404i | ||||
\(235\) | −3.37736 | − | 16.9791i | −0.220314 | − | 1.10760i | ||||
\(236\) | 9.07855 | + | 25.8584i | 0.590964 | + | 1.68324i | ||||
\(237\) | −0.199291 | − | 13.0798i | −0.0129454 | − | 0.849626i | ||||
\(238\) | 0.381007 | + | 5.38417i | 0.0246970 | + | 0.349004i | ||||
\(239\) | −4.17371 | + | 1.11834i | −0.269975 | + | 0.0723395i | −0.391267 | − | 0.920277i | \(-0.627963\pi\) |
0.121292 | + | 0.992617i | \(0.461296\pi\) | |||||||
\(240\) | 11.7514 | − | 6.33118i | 0.758552 | − | 0.408676i | ||||
\(241\) | −25.2008 | − | 6.75254i | −1.62333 | − | 0.434970i | −0.671351 | − | 0.741139i | \(-0.734286\pi\) |
−0.951977 | + | 0.306170i | \(0.900953\pi\) | |||||||
\(242\) | 2.44854 | − | 12.6529i | 0.157398 | − | 0.813362i | ||||
\(243\) | −2.87698 | + | 15.3207i | −0.184558 | + | 0.982822i | ||||
\(244\) | 3.98295 | + | 18.9899i | 0.254982 | + | 1.21571i | ||||
\(245\) | −6.96575 | − | 7.94291i | −0.445025 | − | 0.507454i | ||||
\(246\) | −2.02894 | + | 2.41120i | −0.129360 | + | 0.153733i | ||||
\(247\) | −0.482364 | − | 0.628629i | −0.0306921 | − | 0.0399987i | ||||
\(248\) | −2.83175 | + | 3.33238i | −0.179816 | + | 0.211607i | ||||
\(249\) | 18.9189 | + | 3.46445i | 1.19894 | + | 0.219550i | ||||
\(250\) | −4.34826 | + | 16.5719i | −0.275008 | + | 1.04810i | ||||
\(251\) | −13.5514 | + | 20.2811i | −0.855357 | + | 1.28013i | 0.103035 | + | 0.994678i | \(0.467145\pi\) |
−0.958392 | + | 0.285454i | \(0.907855\pi\) | |||||||
\(252\) | 1.61928 | − | 7.20955i | 0.102005 | − | 0.454159i | ||||
\(253\) | 2.51375 | + | 0.500016i | 0.158038 | + | 0.0314357i | ||||
\(254\) | −1.01809 | + | 16.8764i | −0.0638804 | + | 1.05892i | ||||
\(255\) | 0.519111 | − | 10.3292i | 0.0325080 | − | 0.646839i | ||||
\(256\) | 14.1769 | + | 7.41719i | 0.886058 | + | 0.463575i | ||||
\(257\) | −11.5845 | − | 6.68832i | −0.722622 | − | 0.417206i | 0.0930947 | − | 0.995657i | \(-0.470324\pi\) |
−0.815717 | + | 0.578451i | \(0.803657\pi\) | |||||||
\(258\) | −13.4318 | + | 18.2656i | −0.836230 | + | 1.13717i | ||||
\(259\) | 2.05186 | − | 0.696512i | 0.127496 | − | 0.0432792i | ||||
\(260\) | −5.93525 | + | 2.53105i | −0.368089 | + | 0.156969i | ||||
\(261\) | 17.1380 | + | 14.1296i | 1.06081 | + | 0.874597i | ||||
\(262\) | −14.5837 | + | 14.7361i | −0.900986 | + | 0.910399i | ||||
\(263\) | 25.0384 | + | 19.2126i | 1.54393 | + | 1.18470i | 0.912362 | + | 0.409385i | \(0.134257\pi\) |
0.631572 | + | 0.775317i | \(0.282410\pi\) | |||||||
\(264\) | −4.60968 | + | 4.90301i | −0.283706 | + | 0.301759i | ||||
\(265\) | −5.42780 | + | 4.16489i | −0.333427 | + | 0.255847i | ||||
\(266\) | 0.817644 | + | 0.103325i | 0.0501330 | + | 0.00633527i | ||||
\(267\) | −5.19945 | + | 4.11703i | −0.318201 | + | 0.251958i | ||||
\(268\) | −11.1376 | − | 12.4368i | −0.680337 | − | 0.759701i | ||||
\(269\) | 7.93176 | − | 5.29983i | 0.483608 | − | 0.323136i | −0.289754 | − | 0.957101i | \(-0.593574\pi\) |
0.773362 | + | 0.633965i | \(0.218574\pi\) | |||||||
\(270\) | −4.74552 | + | 13.3391i | −0.288803 | + | 0.811794i | ||||
\(271\) | 16.7254 | + | 16.7254i | 1.01599 | + | 1.01599i | 0.999870 | + | 0.0161232i | \(0.00513241\pi\) |
0.0161232 | + | 0.999870i | \(0.494868\pi\) | |||||||
\(272\) | 10.6047 | − | 6.42013i | 0.643002 | − | 0.389278i | ||||
\(273\) | −1.09646 | + | 3.39934i | −0.0663605 | + | 0.205737i | ||||
\(274\) | −17.6791 | + | 1.25105i | −1.06804 | + | 0.0755787i | ||||
\(275\) | −0.115711 | − | 1.76541i | −0.00697762 | − | 0.106458i | ||||
\(276\) | 4.68580 | + | 4.45157i | 0.282052 | + | 0.267953i | ||||
\(277\) | 5.16415 | + | 5.88858i | 0.310284 | + | 0.353811i | 0.885873 | − | 0.463929i | \(-0.153561\pi\) |
−0.575589 | + | 0.817739i | \(0.695227\pi\) | |||||||
\(278\) | −0.514294 | + | 1.26010i | −0.0308453 | + | 0.0755756i | ||||
\(279\) | −0.141311 | − | 4.63617i | −0.00846008 | − | 0.277560i | ||||
\(280\) | 2.47128 | − | 6.23960i | 0.147687 | − | 0.372887i | ||||
\(281\) | −5.28881 | − | 4.05825i | −0.315504 | − | 0.242095i | 0.438853 | − | 0.898559i | \(-0.355385\pi\) |
−0.754357 | + | 0.656464i | \(0.772051\pi\) | |||||||
\(282\) | −0.990478 | + | 21.9871i | −0.0589821 | + | 1.30931i | ||||
\(283\) | −1.48687 | − | 3.01506i | −0.0883850 | − | 0.179227i | 0.848192 | − | 0.529689i | \(-0.177691\pi\) |
−0.936577 | + | 0.350462i | \(0.886025\pi\) | |||||||
\(284\) | 2.11913 | − | 0.591493i | 0.125747 | − | 0.0350986i | ||||
\(285\) | −1.53136 | − | 0.385421i | −0.0907102 | − | 0.0228304i | ||||
\(286\) | 2.43457 | − | 2.15754i | 0.143959 | − | 0.127578i | ||||
\(287\) | 1.58436i | 0.0935217i | ||||||||
\(288\) | −16.4312 | + | 4.24467i | −0.968215 | + | 0.250120i | ||||
\(289\) | 7.39519i | 0.435011i | ||||||||
\(290\) | 13.3800 | + | 15.0980i | 0.785700 | + | 0.886583i | ||||
\(291\) | 8.08000 | − | 8.33003i | 0.473658 | − | 0.488315i | ||||
\(292\) | 15.4504 | + | 8.70748i | 0.904169 | + | 0.509567i | ||||
\(293\) | 9.23351 | + | 18.7237i | 0.539427 | + | 1.09385i | 0.980526 | + | 0.196392i | \(0.0629224\pi\) |
−0.441098 | + | 0.897459i | \(0.645411\pi\) | |||||||
\(294\) | 6.18542 | + | 11.9224i | 0.360741 | + | 0.695326i | ||||
\(295\) | −20.9454 | − | 16.0720i | −1.21949 | − | 0.935746i | ||||
\(296\) | −3.57340 | − | 3.46368i | −0.207700 | − | 0.201322i | ||||
\(297\) | 0.140920 | − | 7.13652i | 0.00817701 | − | 0.414103i | ||||
\(298\) | −1.22802 | − | 0.501201i | −0.0711371 | − | 0.0290338i | ||||
\(299\) | −2.05994 | − | 2.34891i | −0.119129 | − | 0.135841i | ||||
\(300\) | 2.13098 | − | 3.91963i | 0.123032 | − | 0.226300i | ||||
\(301\) | 0.745536 | + | 11.3747i | 0.0429720 | + | 0.655626i | ||||
\(302\) | 0.966466 | + | 13.6575i | 0.0556138 | + | 0.785903i | ||||
\(303\) | −12.8021 | + | 2.74989i | −0.735462 | + | 0.157977i | ||||
\(304\) | −0.645545 | − | 1.77932i | −0.0370246 | − | 0.102051i | ||||
\(305\) | −13.2171 | − | 13.2171i | −0.756809 | − | 0.756809i | ||||
\(306\) | −3.77981 | + | 12.5936i | −0.216077 | + | 0.719930i | ||||
\(307\) | 12.1223 | − | 8.09988i | 0.691857 | − | 0.462284i | −0.159276 | − | 0.987234i | \(-0.550916\pi\) |
0.851133 | + | 0.524950i | \(0.175916\pi\) | |||||||
\(308\) | −0.186188 | + | 3.37835i | −0.0106091 | + | 0.192499i | ||||
\(309\) | 0.235516 | + | 1.60014i | 0.0133980 | + | 0.0910289i | ||||
\(310\) | 0.528159 | − | 4.17949i | 0.0299974 | − | 0.237379i | ||||
\(311\) | 25.9868 | − | 19.9403i | 1.47357 | − | 1.13071i | 0.511038 | − | 0.859558i | \(-0.329261\pi\) |
0.962536 | − | 0.271155i | \(-0.0874056\pi\) | |||||||
\(312\) | 8.09624 | − | 1.32090i | 0.458359 | − | 0.0747813i | ||||
\(313\) | −8.09855 | − | 6.21424i | −0.457757 | − | 0.351249i | 0.353999 | − | 0.935246i | \(-0.384822\pi\) |
−0.811756 | + | 0.583996i | \(0.801488\pi\) | |||||||
\(314\) | −21.7427 | − | 21.5179i | −1.22701 | − | 1.21432i | ||||
\(315\) | 2.49239 | + | 6.66767i | 0.140430 | + | 0.375680i | ||||
\(316\) | −5.63510 | + | 14.0146i | −0.316999 | + | 0.788381i | ||||
\(317\) | 12.2263 | − | 4.15026i | 0.686695 | − | 0.233102i | 0.0437824 | − | 0.999041i | \(-0.486059\pi\) |
0.642913 | + | 0.765940i | \(0.277726\pi\) | |||||||
\(318\) | 7.96629 | − | 3.49210i | 0.446728 | − | 0.195827i | ||||
\(319\) | −8.80802 | − | 5.08531i | −0.493155 | − | 0.284723i | ||||
\(320\) | −15.3415 | + | 1.48708i | −0.857617 | + | 0.0831304i | ||||
\(321\) | 22.9013 | − | 11.7308i | 1.27823 | − | 0.654748i | ||||
\(322\) | 3.24361 | + | 0.195675i | 0.180759 | + | 0.0109045i | ||||
\(323\) | −1.43835 | − | 0.286105i | −0.0800318 | − | 0.0159193i | ||||
\(324\) | 9.91201 | − | 15.0250i | 0.550667 | − | 0.834725i | ||||
\(325\) | −1.19814 | + | 1.79314i | −0.0664608 | + | 0.0994655i | ||||
\(326\) | 1.42347 | + | 0.373500i | 0.0788386 | + | 0.0206862i | ||||
\(327\) | −1.57820 | + | 1.85589i | −0.0872748 | + | 0.102631i | ||||
\(328\) | 3.23803 | − | 1.66007i | 0.178790 | − | 0.0916619i | ||||
\(329\) | 6.73632 | + | 8.77895i | 0.371386 | + | 0.483999i | ||||
\(330\) | 1.13459 | − | 6.38292i | 0.0624574 | − | 0.351368i | ||||
\(331\) | −16.2857 | − | 18.5703i | −0.895145 | − | 1.02072i | −0.999657 | − | 0.0261932i | \(-0.991661\pi\) |
0.104512 | − | 0.994524i | \(-0.466672\pi\) | |||||||
\(332\) | −18.5933 | − | 12.1460i | −1.02044 | − | 0.666600i | ||||
\(333\) | 5.27523 | + | 0.184598i | 0.289081 | + | 0.0101159i | ||||
\(334\) | −25.9124 | − | 5.01445i | −1.41786 | − | 0.274379i | ||||
\(335\) | 15.5349 | + | 4.16256i | 0.848761 | + | 0.227425i | ||||
\(336\) | −4.94696 | + | 6.95178i | −0.269879 | + | 0.379250i | ||||
\(337\) | −29.9972 | + | 8.03773i | −1.63405 | + | 0.437843i | −0.955086 | − | 0.296327i | \(-0.904238\pi\) |
−0.678965 | + | 0.734170i | \(0.737571\pi\) | |||||||
\(338\) | 14.3835 | − | 1.01784i | 0.782358 | − | 0.0553630i | ||||
\(339\) | 3.30149 | − | 1.97378i | 0.179312 | − | 0.107201i | ||||
\(340\) | −5.17029 | + | 10.7649i | −0.280398 | + | 0.583810i | ||||
\(341\) | 0.414347 | + | 2.08306i | 0.0224382 | + | 0.112804i | ||||
\(342\) | 1.77334 | + | 0.941173i | 0.0958914 | + | 0.0508928i | ||||
\(343\) | 14.2033 | + | 5.88321i | 0.766908 | + | 0.317664i | ||||
\(344\) | 22.4658 | − | 13.4419i | 1.21128 | − | 0.724739i | ||||
\(345\) | −6.12443 | − | 1.12151i | −0.329728 | − | 0.0603802i | ||||
\(346\) | 1.11170 | − | 1.94884i | 0.0597655 | − | 0.104770i | ||||
\(347\) | −18.5589 | + | 9.15224i | −0.996294 | + | 0.491318i | −0.865939 | − | 0.500150i | \(-0.833278\pi\) |
−0.130355 | + | 0.991467i | \(0.541612\pi\) | |||||||
\(348\) | −11.9294 | − | 22.7045i | −0.639485 | − | 1.21709i | ||||
\(349\) | 28.2673 | − | 9.59547i | 1.51312 | − | 0.513634i | 0.563249 | − | 0.826287i | \(-0.309551\pi\) |
0.949867 | + | 0.312654i | \(0.101218\pi\) | |||||||
\(350\) | −0.449030 | − | 2.19768i | −0.0240017 | − | 0.117471i | ||||
\(351\) | −5.43202 | + | 6.79697i | −0.289940 | + | 0.362795i | ||||
\(352\) | 7.09958 | − | 3.15926i | 0.378409 | − | 0.168389i | ||||
\(353\) | 3.92924 | + | 6.80564i | 0.209132 | + | 0.362228i | 0.951441 | − | 0.307830i | \(-0.0996027\pi\) |
−0.742309 | + | 0.670058i | \(0.766269\pi\) | |||||||
\(354\) | 20.9729 | + | 26.2060i | 1.11470 | + | 1.39283i | ||||
\(355\) | −1.39747 | + | 1.59351i | −0.0741698 | + | 0.0845745i | ||||
\(356\) | 7.37611 | − | 2.05882i | 0.390933 | − | 0.109117i | ||||
\(357\) | 2.62257 | + | 6.06826i | 0.138801 | + | 0.321166i | ||||
\(358\) | −9.77150 | − | 16.7234i | −0.516440 | − | 0.883860i | ||||
\(359\) | −4.36281 | − | 10.5328i | −0.230260 | − | 0.555898i | 0.765947 | − | 0.642903i | \(-0.222270\pi\) |
−0.996208 | + | 0.0870053i | \(0.972270\pi\) | |||||||
\(360\) | 11.0155 | − | 12.0801i | 0.580569 | − | 0.636676i | ||||
\(361\) | 7.18529 | − | 17.3468i | 0.378173 | − | 0.912991i | ||||
\(362\) | 1.95936 | + | 14.3079i | 0.102982 | + | 0.752005i | ||||
\(363\) | −2.29841 | − | 15.6159i | −0.120635 | − | 0.819622i | ||||
\(364\) | 2.68700 | − | 3.12895i | 0.140837 | − | 0.164001i | ||||
\(365\) | −17.0484 | + | 1.11741i | −0.892355 | + | 0.0584880i | ||||
\(366\) | 12.2999 | + | 20.3331i | 0.642928 | + | 1.06283i | ||||
\(367\) | −8.16061 | − | 2.18663i | −0.425981 | − | 0.114141i | 0.0394582 | − | 0.999221i | \(-0.487437\pi\) |
−0.465439 | + | 0.885080i | \(0.654103\pi\) | |||||||
\(368\) | −2.99870 | − | 6.83414i | −0.156318 | − | 0.356254i | ||||
\(369\) | −1.36765 | + | 3.60905i | −0.0711969 | + | 0.187880i | ||||
\(370\) | 4.70681 | + | 0.910841i | 0.244695 | + | 0.0473524i | ||||
\(371\) | 1.93418 | − | 3.92214i | 0.100418 | − | 0.203627i | ||||
\(372\) | −1.92213 | + | 4.99908i | −0.0996577 | + | 0.259190i | ||||
\(373\) | −11.0251 | − | 3.74253i | −0.570860 | − | 0.193781i | 0.0210594 | − | 0.999778i | \(-0.493296\pi\) |
−0.591919 | + | 0.805998i | \(0.701629\pi\) | |||||||
\(374\) | 0.754831 | − | 5.97322i | 0.0390314 | − | 0.308868i | ||||
\(375\) | 1.69122 | + | 20.9152i | 0.0873340 | + | 1.08005i | ||||
\(376\) | 10.8837 | − | 22.9658i | 0.561285 | − | 1.18437i | ||||
\(377\) | 4.74439 | + | 11.4540i | 0.244348 | + | 0.589909i | ||||
\(378\) | −1.05060 | − | 8.98865i | −0.0540370 | − | 0.462326i | ||||
\(379\) | −19.5353 | − | 13.0531i | −1.00346 | − | 0.670493i | −0.0587101 | − | 0.998275i | \(-0.518699\pi\) |
−0.944753 | + | 0.327782i | \(0.893699\pi\) | |||||||
\(380\) | 1.45807 | + | 1.09493i | 0.0747974 | + | 0.0561686i | ||||
\(381\) | 5.66341 | + | 19.9173i | 0.290145 | + | 1.02039i | ||||
\(382\) | −9.92837 | − | 19.8717i | −0.507980 | − | 1.01673i | ||||
\(383\) | 10.8460 | − | 18.7859i | 0.554206 | − | 0.959912i | −0.443759 | − | 0.896146i | \(-0.646355\pi\) |
0.997965 | − | 0.0637663i | \(-0.0203112\pi\) | |||||||
\(384\) | 19.3910 | + | 2.82637i | 0.989544 | + | 0.144233i | ||||
\(385\) | −1.62972 | − | 2.82275i | −0.0830581 | − | 0.143861i | ||||
\(386\) | 3.19306 | − | 4.83293i | 0.162522 | − | 0.245990i | ||||
\(387\) | −8.12056 | + | 26.5543i | −0.412791 | + | 1.34983i | ||||
\(388\) | −12.3263 | + | 5.25646i | −0.625772 | + | 0.266856i | ||||
\(389\) | 1.06012 | − | 16.1743i | 0.0537502 | − | 0.820070i | −0.882847 | − | 0.469661i | \(-0.844376\pi\) |
0.936597 | − | 0.350409i | \(-0.113957\pi\) | |||||||
\(390\) | −5.83375 | + | 5.33081i | −0.295403 | + | 0.269936i | ||||
\(391\) | −5.73286 | − | 0.754745i | −0.289923 | − | 0.0381691i | ||||
\(392\) | −1.25549 | − | 15.4583i | −0.0634119 | − | 0.780764i | ||||
\(393\) | −10.8824 | + | 22.9419i | −0.548943 | + | 1.15727i | ||||
\(394\) | 23.4025 | + | 17.7649i | 1.17900 | + | 0.894984i | ||||
\(395\) | −2.83881 | − | 14.2717i | −0.142836 | − | 0.718086i | ||||
\(396\) | −3.34038 | + | 7.53491i | −0.167860 | + | 0.378644i | ||||
\(397\) | −6.95794 | − | 10.4133i | −0.349209 | − | 0.522628i | 0.614735 | − | 0.788734i | \(-0.289263\pi\) |
−0.963944 | + | 0.266106i | \(0.914263\pi\) | |||||||
\(398\) | −5.76103 | − | 16.6861i | −0.288775 | − | 0.836397i | ||||
\(399\) | 0.986860 | − | 0.211978i | 0.0494048 | − | 0.0106121i | ||||
\(400\) | −4.02101 | + | 3.22040i | −0.201050 | + | 0.161020i | ||||
\(401\) | −3.16286 | − | 11.8040i | −0.157946 | − | 0.589461i | −0.998835 | − | 0.0482542i | \(-0.984634\pi\) |
0.840889 | − | 0.541207i | \(-0.182032\pi\) | |||||||
\(402\) | −17.9128 | − | 9.85961i | −0.893411 | − | 0.491753i | ||||
\(403\) | 1.14506 | − | 2.32195i | 0.0570394 | − | 0.115664i | ||||
\(404\) | 14.8591 | + | 2.79544i | 0.739268 | + | 0.139078i | ||||
\(405\) | −0.0781755 | + | 17.3399i | −0.00388457 | + | 0.861628i | ||||
\(406\) | −11.9388 | − | 4.87268i | −0.592513 | − | 0.241827i | ||||
\(407\) | −2.39631 | + | 0.315480i | −0.118781 | + | 0.0156378i | ||||
\(408\) | 9.65410 | − | 11.7181i | 0.477949 | − | 0.580132i | ||||
\(409\) | 15.5365 | + | 2.04542i | 0.768233 | + | 0.101140i | 0.504448 | − | 0.863442i | \(-0.331696\pi\) |
0.263784 | + | 0.964582i | \(0.415029\pi\) | |||||||
\(410\) | −1.73688 | + | 3.04480i | −0.0857786 | + | 0.150372i | ||||
\(411\) | −19.9254 | + | 8.61130i | −0.982846 | + | 0.424764i | ||||
\(412\) | 0.464593 | − | 1.80888i | 0.0228889 | − | 0.0891171i | ||||
\(413\) | 16.5512 | + | 3.29225i | 0.814434 | + | 0.162001i | ||||
\(414\) | 7.21980 | + | 3.24568i | 0.354834 | + | 0.159516i | ||||
\(415\) | 21.3947 | 1.05023 | ||||||||
\(416\) | −9.21018 | − | 2.21308i | −0.451566 | − | 0.108505i | ||||
\(417\) | −0.0836667 | + | 1.66479i | −0.00409718 | + | 0.0815250i | ||||
\(418\) | −0.872022 | − | 0.290967i | −0.0426520 | − | 0.0142316i | ||||
\(419\) | −14.2726 | − | 12.5167i | −0.697262 | − | 0.611482i | 0.235543 | − | 0.971864i | \(-0.424313\pi\) |
−0.932805 | + | 0.360382i | \(0.882646\pi\) | |||||||
\(420\) | 0.327222 | − | 8.21295i | 0.0159668 | − | 0.400751i | ||||
\(421\) | −2.18760 | + | 33.3764i | −0.106617 | + | 1.62667i | 0.524802 | + | 0.851224i | \(0.324139\pi\) |
−0.631419 | + | 0.775442i | \(0.717527\pi\) | |||||||
\(422\) | 4.71164 | − | 0.0244851i | 0.229359 | − | 0.00119192i | ||||
\(423\) | 7.76671 | + | 25.8127i | 0.377630 | + | 1.25506i | ||||
\(424\) | −10.0425 | + | 0.156575i | −0.487705 | + | 0.00760396i | ||||
\(425\) | 0.520988 | + | 3.95730i | 0.0252716 | + | 0.191957i | ||||
\(426\) | 2.20943 | − | 1.54250i | 0.107047 | − | 0.0747345i | ||||
\(427\) | 11.3137 | + | 3.84048i | 0.547507 | + | 0.185854i | ||||
\(428\) | −29.6262 | + | 2.25126i | −1.43203 | + | 0.108819i | ||||
\(429\) | 1.93926 | − | 3.48029i | 0.0936284 | − | 0.168030i | ||||
\(430\) | −11.0370 | + | 22.6771i | −0.532250 | + | 1.09359i | ||||
\(431\) | 3.38734 | + | 3.38734i | 0.163162 | + | 0.163162i | 0.783966 | − | 0.620804i | \(-0.213194\pi\) |
−0.620804 | + | 0.783966i | \(0.713194\pi\) | |||||||
\(432\) | −17.2697 | + | 11.5653i | −0.830890 | + | 0.556437i | ||||
\(433\) | −23.5186 | + | 23.5186i | −1.13023 | + | 1.13023i | −0.140094 | + | 0.990138i | \(0.544741\pi\) |
−0.990138 | + | 0.140094i | \(0.955259\pi\) | |||||||
\(434\) | 0.878800 | + | 2.54533i | 0.0421838 | + | 0.122180i | ||||
\(435\) | 21.5830 | + | 12.0263i | 1.03483 | + | 0.576618i | ||||
\(436\) | 2.50990 | − | 1.27034i | 0.120202 | − | 0.0608385i | ||||
\(437\) | −0.283794 | + | 0.836031i | −0.0135757 | + | 0.0399928i | ||||
\(438\) | 21.3858 | + | 3.80144i | 1.02185 | + | 0.181640i | ||||
\(439\) | −13.5280 | + | 1.78099i | −0.645654 | + | 0.0850020i | −0.446240 | − | 0.894913i | \(-0.647237\pi\) |
−0.199414 | + | 0.979915i | \(0.563904\pi\) | |||||||
\(440\) | −4.06140 | + | 6.28837i | −0.193620 | + | 0.299786i | ||||
\(441\) | 11.9809 | + | 11.2721i | 0.570519 | + | 0.536769i | ||||
\(442\) | −5.16247 | + | 5.21641i | −0.245554 | + | 0.248119i | ||||
\(443\) | 28.0055 | + | 1.83558i | 1.33058 | + | 0.0872110i | 0.714037 | − | 0.700108i | \(-0.246865\pi\) |
0.616546 | + | 0.787319i | \(0.288531\pi\) | |||||||
\(444\) | −5.53376 | − | 2.55480i | −0.262620 | − | 0.121245i | ||||
\(445\) | −4.86419 | + | 5.54654i | −0.230585 | + | 0.262931i | ||||
\(446\) | −11.9524 | − | 23.9228i | −0.565961 | − | 1.13278i | ||||
\(447\) | −1.62240 | − | 0.0815367i | −0.0767371 | − | 0.00385656i | ||||
\(448\) | 8.37455 | − | 5.18971i | 0.395660 | − | 0.245191i | ||||
\(449\) | 2.50970i | 0.118440i | 0.998245 | + | 0.0592201i | \(0.0188614\pi\) | ||||
−0.998245 | + | 0.0592201i | \(0.981139\pi\) | |||||||
\(450\) | 0.874217 | − | 5.39376i | 0.0412110 | − | 0.254264i | ||||
\(451\) | 0.344774 | − | 1.73330i | 0.0162348 | − | 0.0816177i | ||||
\(452\) | −4.39731 | + | 0.625477i | −0.206832 | + | 0.0294200i | ||||
\(453\) | 6.65243 | + | 15.3928i | 0.312558 | + | 0.723217i | ||||
\(454\) | −16.3523 | + | 4.47280i | −0.767452 | + | 0.209919i | ||||
\(455\) | −0.518600 | + | 3.93916i | −0.0243124 | + | 0.184671i | ||||
\(456\) | −1.46725 | − | 1.79479i | −0.0687101 | − | 0.0840485i | ||||
\(457\) | −4.55856 | − | 34.6257i | −0.213241 | − | 1.61972i | −0.678535 | − | 0.734568i | \(-0.737385\pi\) |
0.465295 | − | 0.885156i | \(-0.345948\pi\) | |||||||
\(458\) | 19.9977 | − | 8.40533i | 0.934430 | − | 0.392755i | ||||
\(459\) | 0.735782 | + | 16.0869i | 0.0343434 | + | 0.750872i | ||||
\(460\) | 6.01903 | + | 3.93192i | 0.280639 | + | 0.183327i | ||||
\(461\) | −29.2929 | − | 14.4457i | −1.36431 | − | 0.672802i | −0.395006 | − | 0.918679i | \(-0.629257\pi\) |
−0.969301 | + | 0.245877i | \(0.920924\pi\) | |||||||
\(462\) | 1.15407 | + | 3.97995i | 0.0536923 | + | 0.185164i | ||||
\(463\) | 10.2144 | − | 2.73695i | 0.474705 | − | 0.127197i | −0.0135312 | − | 0.999908i | \(-0.504307\pi\) |
0.488236 | + | 0.872712i | \(0.337641\pi\) | |||||||
\(464\) | 2.55077 | + | 29.5054i | 0.118417 | + | 1.36975i | ||||
\(465\) | −1.08355 | − | 5.04446i | −0.0502484 | − | 0.233931i | ||||
\(466\) | 1.61349 | + | 0.785286i | 0.0747433 | + | 0.0363777i | ||||
\(467\) | −22.0973 | + | 14.7649i | −1.02254 | + | 0.683240i | −0.949396 | − | 0.314081i | \(-0.898304\pi\) |
−0.0731452 | + | 0.997321i | \(0.523304\pi\) | |||||||
\(468\) | 8.82176 | − | 4.80805i | 0.407786 | − | 0.222252i | ||||
\(469\) | −10.0826 | + | 2.00556i | −0.465571 | + | 0.0926079i | ||||
\(470\) | 3.32171 | + | 24.2561i | 0.153219 | + | 1.11885i | ||||
\(471\) | −33.8501 | − | 16.0566i | −1.55973 | − | 0.739850i | ||||
\(472\) | −10.6136 | − | 37.2761i | −0.488532 | − | 1.71577i | ||||
\(473\) | 1.65964 | − | 12.6062i | 0.0763102 | − | 0.579634i | ||||
\(474\) | −0.832540 | + | 18.4811i | −0.0382398 | + | 0.848864i | ||||
\(475\) | 0.608136 | + | 0.0398594i | 0.0279032 | + | 0.00182887i | ||||
\(476\) | −0.0793353 | − | 7.63299i | −0.00363633 | − | 0.349858i | ||||
\(477\) | 7.79159 | − | 7.26471i | 0.356752 | − | 0.332628i | ||||
\(478\) | 5.98704 | − | 1.22327i | 0.273841 | − | 0.0559512i | ||||
\(479\) | −8.82264 | + | 5.09375i | −0.403117 | + | 0.232739i | −0.687828 | − | 0.725874i | \(-0.741436\pi\) |
0.284711 | + | 0.958613i | \(0.408102\pi\) | |||||||
\(480\) | −17.1280 | + | 7.93665i | −0.781785 | + | 0.362257i | ||||
\(481\) | 2.55151 | + | 1.47312i | 0.116339 | + | 0.0671684i | ||||
\(482\) | 34.9996 | + | 11.6783i | 1.59419 | + | 0.531932i | ||||
\(483\) | 3.82807 | − | 1.08850i | 0.174183 | − | 0.0495284i | ||||
\(484\) | −4.53400 | + | 17.6530i | −0.206091 | + | 0.802408i | ||||
\(485\) | 7.17187 | − | 10.7335i | 0.325658 | − | 0.487381i | ||||
\(486\) | 5.36598 | − | 21.3824i | 0.243406 | − | 0.969925i | ||||
\(487\) | −9.72605 | + | 4.02866i | −0.440729 | + | 0.182556i | −0.592003 | − | 0.805936i | \(-0.701663\pi\) |
0.151274 | + | 0.988492i | \(0.451663\pi\) | |||||||
\(488\) | −4.00534 | − | 27.1463i | −0.181313 | − | 1.22885i | ||||
\(489\) | 1.79654 | − | 0.145269i | 0.0812421 | − | 0.00656930i | ||||
\(490\) | 9.15676 | + | 11.8058i | 0.413660 | + | 0.533331i | ||||
\(491\) | 1.35412 | − | 3.98912i | 0.0611107 | − | 0.180026i | −0.912087 | − | 0.409997i | \(-0.865530\pi\) |
0.973198 | + | 0.229971i | \(0.0738631\pi\) | |||||||
\(492\) | 3.06948 | − | 3.23099i | 0.138383 | − | 0.145664i | ||||
\(493\) | 20.5794 | + | 10.1487i | 0.926851 | + | 0.457073i | ||||
\(494\) | 0.627394 | + | 0.928480i | 0.0282278 | + | 0.0417743i | ||||
\(495\) | −1.27573 | − | 7.83683i | −0.0573396 | − | 0.352239i | ||||
\(496\) | 4.28121 | − | 4.46300i | 0.192232 | − | 0.200395i | ||||
\(497\) | 0.350638 | − | 1.30860i | 0.0157283 | − | 0.0586987i | ||||
\(498\) | −26.4118 | − | 6.50170i | −1.18354 | − | 0.291348i | ||||
\(499\) | −0.584936 | − | 8.92439i | −0.0261853 | − | 0.399511i | −0.990753 | − | 0.135676i | \(-0.956679\pi\) |
0.964568 | − | 0.263835i | \(-0.0849873\pi\) | |||||||
\(500\) | 7.54946 | − | 23.0234i | 0.337622 | − | 1.02964i | ||||
\(501\) | −31.9803 | + | 4.70700i | −1.42878 | + | 0.210293i | ||||
\(502\) | 20.8569 | − | 27.4757i | 0.930890 | − | 1.22630i | ||||
\(503\) | 24.1518 | + | 10.0040i | 1.07688 | + | 0.446057i | 0.849412 | − | 0.527730i | \(-0.176957\pi\) |
0.227464 | + | 0.973787i | \(0.426957\pi\) | |||||||
\(504\) | −2.89981 | + | 10.0395i | −0.129168 | + | 0.447193i | ||||
\(505\) | −13.4567 | + | 5.57396i | −0.598817 | + | 0.248038i | ||||
\(506\) | −3.50594 | − | 0.919914i | −0.155858 | − | 0.0408952i | ||||
\(507\) | 16.2110 | − | 7.00603i | 0.719956 | − | 0.311149i | ||||
\(508\) | 2.87436 | − | 23.7368i | 0.127529 | − | 1.05315i | ||||
\(509\) | −27.3833 | − | 24.0145i | −1.21374 | − | 1.06443i | −0.996085 | − | 0.0884008i | \(-0.971824\pi\) |
−0.217660 | − | 0.976025i | \(-0.569842\pi\) | |||||||
\(510\) | −1.61243 | + | 14.5370i | −0.0713995 | + | 0.643708i | ||||
\(511\) | 9.45758 | − | 5.46034i | 0.418379 | − | 0.241551i | ||||
\(512\) | −19.3812 | − | 11.6778i | −0.856535 | − | 0.516089i | ||||
\(513\) | 2.43098 | + | 0.369007i | 0.107330 | + | 0.0162920i | ||||
\(514\) | 15.7837 | + | 10.4281i | 0.696188 | + | 0.459963i | ||||
\(515\) | 0.578309 | + | 1.70364i | 0.0254833 | + | 0.0750715i | ||||
\(516\) | 20.5165 | − | 24.6408i | 0.903189 | − | 1.08475i | ||||
\(517\) | −5.45918 | − | 11.0701i | −0.240094 | − | 0.486863i | ||||
\(518\) | −2.95581 | + | 0.808495i | −0.129871 | + | 0.0355232i | ||||
\(519\) | 0.494962 | − | 2.70293i | 0.0217264 | − | 0.118645i | ||||
\(520\) | 8.59403 | − | 3.06751i | 0.376873 | − | 0.134519i | ||||
\(521\) | −8.39543 | + | 20.2684i | −0.367810 | + | 0.887973i | 0.626298 | + | 0.779584i | \(0.284569\pi\) |
−0.994109 | + | 0.108389i | \(0.965431\pi\) | |||||||
\(522\) | −22.9895 | − | 21.4054i | −1.00622 | − | 0.936889i | ||||
\(523\) | 16.5472 | − | 3.29144i | 0.723558 | − | 0.143925i | 0.180446 | − | 0.983585i | \(-0.442246\pi\) |
0.543112 | + | 0.839660i | \(0.317246\pi\) | |||||||
\(524\) | 21.8420 | − | 19.5602i | 0.954172 | − | 0.854493i | ||||
\(525\) | −1.40969 | − | 2.35794i | −0.0615238 | − | 0.102909i | ||||
\(526\) | −33.7093 | − | 29.2537i | −1.46979 | − | 1.27552i | ||||
\(527\) | −1.24017 | − | 4.62836i | −0.0540225 | − | 0.201615i | ||||
\(528\) | 6.92479 | − | 6.52876i | 0.301363 | − | 0.284128i | ||||
\(529\) | 5.05186 | − | 18.8538i | 0.219646 | − | 0.819731i | ||||
\(530\) | 8.01681 | − | 5.41714i | 0.348228 | − | 0.235305i | ||||
\(531\) | 34.8606 | + | 21.7868i | 1.51282 | + | 0.945468i | ||||
\(532\) | −1.14543 | − | 0.215489i | −0.0496605 | − | 0.00934262i | ||||
\(533\) | −1.61963 | + | 1.42038i | −0.0701541 | + | 0.0615235i | ||||
\(534\) | 7.69039 | − | 5.36902i | 0.332796 | − | 0.232340i | ||||
\(535\) | 22.7076 | − | 17.4242i | 0.981735 | − | 0.753312i | ||||
\(536\) | 14.6632 | + | 18.5049i | 0.633356 | + | 0.799290i | ||||
\(537\) | −18.0713 | − | 15.3675i | −0.779836 | − | 0.663155i | ||||
\(538\) | −11.6482 | + | 6.80603i | −0.502188 | + | 0.293429i | ||||
\(539\) | −6.26298 | − | 4.18479i | −0.269766 | − | 0.180252i | ||||
\(540\) | 7.83496 | − | 18.4260i | 0.337163 | − | 0.792931i | ||||
\(541\) | 6.42389 | − | 32.2951i | 0.276185 | − | 1.38847i | −0.554710 | − | 0.832044i | \(-0.687171\pi\) |
0.830894 | − | 0.556430i | \(-0.187829\pi\) | |||||||
\(542\) | −22.1860 | − | 25.0346i | −0.952970 | − | 1.07533i | ||||
\(543\) | 8.06354 | + | 15.7420i | 0.346040 | + | 0.675554i | ||||
\(544\) | −15.5168 | + | 8.15988i | −0.665276 | + | 0.349852i | ||||
\(545\) | −1.35497 | + | 2.34688i | −0.0580406 | + | 0.100529i | ||||
\(546\) | 1.83729 | − | 4.70529i | 0.0786289 | − | 0.201368i | ||||
\(547\) | −9.03509 | − | 26.6165i | −0.386313 | − | 1.13804i | −0.950053 | − | 0.312089i | \(-0.898971\pi\) |
0.563740 | − | 0.825952i | \(-0.309362\pi\) | |||||||
\(548\) | 25.0632 | − | 0.260501i | 1.07065 | − | 0.0111280i | ||||
\(549\) | 22.4566 | + | 18.5145i | 0.958423 | + | 0.790180i | ||||
\(550\) | 0.0130021 | + | 2.50198i | 0.000554413 | + | 0.106685i | ||||
\(551\) | 2.13281 | − | 2.77953i | 0.0908606 | − | 0.118412i | ||||
\(552\) | −6.23561 | − | 6.68309i | −0.265405 | − | 0.284451i | ||||
\(553\) | 5.66217 | + | 7.37909i | 0.240780 | + | 0.313791i | ||||
\(554\) | −6.78849 | − | 8.75237i | −0.288415 | − | 0.371853i | ||||
\(555\) | 5.80900 | − | 0.854994i | 0.246578 | − | 0.0362925i | ||||
\(556\) | 0.833311 | − | 1.73502i | 0.0353402 | − | 0.0735811i | ||||
\(557\) | −20.3822 | − | 30.5042i | −0.863623 | − | 1.29250i | −0.954976 | − | 0.296684i | \(-0.904119\pi\) |
0.0913529 | − | 0.995819i | \(-0.470881\pi\) | |||||||
\(558\) | −0.195331 | + | 6.55667i | −0.00826903 | + | 0.277566i | ||||
\(559\) | −10.9596 | + | 10.9596i | −0.463540 | + | 0.463540i | ||||
\(560\) | −4.01994 | + | 8.59765i | −0.169873 | + | 0.363317i | ||||
\(561\) | −1.54858 | − | 7.20941i | −0.0653811 | − | 0.304381i | ||||
\(562\) | 7.12034 | + | 6.17921i | 0.300353 | + | 0.260654i | ||||
\(563\) | 11.9824 | − | 0.785371i | 0.505000 | − | 0.0330994i | 0.189225 | − | 0.981934i | \(-0.439402\pi\) |
0.315774 | + | 0.948834i | \(0.397736\pi\) | |||||||
\(564\) | 3.27061 | − | 30.9536i | 0.137717 | − | 1.30338i | ||||
\(565\) | 3.21693 | − | 2.82117i | 0.135337 | − | 0.118687i | ||||
\(566\) | 1.84217 | + | 4.38283i | 0.0774321 | + | 0.184224i | ||||
\(567\) | −4.85735 | − | 9.96271i | −0.203989 | − | 0.418394i | ||||
\(568\) | −3.04184 | + | 0.654515i | −0.127633 | + | 0.0274629i | ||||
\(569\) | 3.75336 | − | 4.89148i | 0.157349 | − | 0.205061i | −0.708025 | − | 0.706187i | \(-0.750414\pi\) |
0.865375 | + | 0.501125i | \(0.167080\pi\) | |||||||
\(570\) | 2.12892 | + | 0.674489i | 0.0891708 | + | 0.0282512i | ||||
\(571\) | 18.3458 | − | 9.04712i | 0.767746 | − | 0.378610i | −0.0158555 | − | 0.999874i | \(-0.505047\pi\) |
0.783601 | + | 0.621264i | \(0.213381\pi\) | |||||||
\(572\) | −3.62049 | + | 2.83836i | −0.151380 | + | 0.118678i | ||||
\(573\) | −19.5287 | − | 18.9425i | −0.815822 | − | 0.791335i | ||||
\(574\) | 0.134923 | − | 2.23656i | 0.00563157 | − | 0.0933520i | ||||
\(575\) | 2.40295 | 0.100210 | ||||||||
\(576\) | 23.5565 | − | 4.59271i | 0.981519 | − | 0.191363i | ||||
\(577\) | 39.1554 | 1.63006 | 0.815030 | − | 0.579418i | \(-0.196720\pi\) | ||||
0.815030 | + | 0.579418i | \(0.196720\pi\) | |||||||
\(578\) | 0.629770 | − | 10.4394i | 0.0261950 | − | 0.434222i | ||||
\(579\) | 1.73153 | − | 6.87976i | 0.0719601 | − | 0.285913i | ||||
\(580\) | −17.6021 | − | 22.4524i | −0.730887 | − | 0.932286i | ||||
\(581\) | −12.2651 | + | 6.04850i | −0.508844 | + | 0.250934i | ||||
\(582\) | −12.1155 | + | 11.0710i | −0.502203 | + | 0.458907i | ||||
\(583\) | −2.96951 | + | 3.86994i | −0.122984 | + | 0.160276i | ||||
\(584\) | −21.0691 | − | 13.6076i | −0.871844 | − | 0.563088i | ||||
\(585\) | −4.58169 | + | 8.52545i | −0.189429 | + | 0.352484i | ||||
\(586\) | −11.4400 | − | 27.2176i | −0.472580 | − | 1.12435i | ||||
\(587\) | −25.3993 | + | 22.2746i | −1.04834 | + | 0.919370i | −0.996850 | − | 0.0793040i | \(-0.974730\pi\) |
−0.0514895 | + | 0.998674i | \(0.516397\pi\) | |||||||
\(588\) | −7.71634 | − | 17.3569i | −0.318216 | − | 0.715787i | ||||
\(589\) | −0.730053 | + | 0.0478502i | −0.0300813 | + | 0.00197163i | ||||
\(590\) | 28.1988 | + | 24.4716i | 1.16093 | + | 1.00748i | ||||
\(591\) | 34.2474 | + | 11.0465i | 1.40875 | + | 0.454391i | ||||
\(592\) | 4.74942 | + | 5.19381i | 0.195200 | + | 0.213464i | ||||
\(593\) | 5.92112 | − | 5.92112i | 0.243151 | − | 0.243151i | −0.575001 | − | 0.818153i | \(-0.694998\pi\) |
0.818153 | + | 0.575001i | \(0.194998\pi\) | |||||||
\(594\) | −0.806670 | + | 10.0622i | −0.0330981 | + | 0.412859i | ||||
\(595\) | 4.08542 | + | 6.11426i | 0.167486 | + | 0.250660i | ||||
\(596\) | 1.69085 | + | 0.812096i | 0.0692597 | + | 0.0332648i | ||||
\(597\) | −13.4212 | − | 16.9497i | −0.549292 | − | 0.693707i | ||||
\(598\) | 2.70787 | + | 3.49125i | 0.110733 | + | 0.142768i | ||||
\(599\) | −15.9809 | − | 20.8267i | −0.652962 | − | 0.850957i | 0.343129 | − | 0.939288i | \(-0.388513\pi\) |
−0.996091 | + | 0.0883316i | \(0.971846\pi\) | |||||||
\(600\) | −3.34199 | + | 5.35166i | −0.136436 | + | 0.218481i | ||||
\(601\) | 11.1661 | − | 14.5519i | 0.455473 | − | 0.593584i | −0.508011 | − | 0.861351i | \(-0.669619\pi\) |
0.963484 | + | 0.267767i | \(0.0862856\pi\) | |||||||
\(602\) | −0.0837740 | − | 16.1205i | −0.00341437 | − | 0.657024i | ||||
\(603\) | −24.6987 | − | 4.13498i | −1.00581 | − | 0.168389i | ||||
\(604\) | −0.201243 | − | 19.3619i | −0.00818845 | − | 0.787825i | ||||
\(605\) | −5.64376 | − | 16.6260i | −0.229451 | − | 0.675942i | ||||
\(606\) | 18.3062 | − | 2.79166i | 0.743640 | − | 0.113403i | ||||
\(607\) | −1.68346 | + | 2.91584i | −0.0683295 | + | 0.118350i | −0.898166 | − | 0.439656i | \(-0.855100\pi\) |
0.829837 | + | 0.558007i | \(0.188434\pi\) | |||||||
\(608\) | 0.759756 | + | 2.56675i | 0.0308122 | + | 0.104095i | ||||
\(609\) | −15.7730 | − | 0.792701i | −0.639156 | − | 0.0321219i | ||||
\(610\) | 17.5323 | + | 19.7834i | 0.709863 | + | 0.801008i | ||||
\(611\) | −2.93528 | + | 14.7567i | −0.118749 | + | 0.596990i | ||||
\(612\) | 6.40822 | − | 17.4559i | 0.259037 | − | 0.705612i | ||||
\(613\) | 30.4720 | + | 20.3608i | 1.23075 | + | 0.822363i | 0.988991 | − | 0.147972i | \(-0.0472747\pi\) |
0.241762 | + | 0.970336i | \(0.422275\pi\) | |||||||
\(614\) | −17.8022 | + | 10.4018i | −0.718439 | + | 0.419784i | ||||
\(615\) | −0.773312 | + | 4.22296i | −0.0311829 | + | 0.170286i | ||||
\(616\) | 0.550530 | − | 4.75318i | 0.0221815 | − | 0.191511i | ||||
\(617\) | −34.9523 | + | 26.8198i | −1.40713 | + | 1.07973i | −0.422248 | + | 0.906480i | \(0.638759\pi\) |
−0.984879 | + | 0.173246i | \(0.944574\pi\) | |||||||
\(618\) | −0.196198 | − | 2.27889i | −0.00789225 | − | 0.0916705i | ||||
\(619\) | 35.7088 | − | 31.3158i | 1.43526 | − | 1.25869i | 0.521002 | − | 0.853556i | \(-0.325558\pi\) |
0.914258 | − | 0.405133i | \(-0.132775\pi\) | |||||||
\(620\) | −1.10150 | + | 5.85499i | −0.0442372 | + | 0.235142i | ||||
\(621\) | 9.65967 | + | 0.824939i | 0.387629 | + | 0.0331037i | ||||
\(622\) | −38.3822 | + | 25.9357i | −1.53899 | + | 1.03993i | ||||
\(623\) | 1.22047 | − | 4.55487i | 0.0488972 | − | 0.182487i | ||||
\(624\) | −11.5415 | + | 1.17518i | −0.462030 | + | 0.0470447i | ||||
\(625\) | 4.37449 | + | 16.3258i | 0.174980 | + | 0.653033i | ||||
\(626\) | 10.9031 | + | 9.46198i | 0.435775 | + | 0.378177i | ||||
\(627\) | −1.12576 | + | 0.0171527i | −0.0449585 | + | 0.000685012i | ||||
\(628\) | 28.8605 | + | 32.2272i | 1.15166 | + | 1.28601i | ||||
\(629\) | 5.34815 | − | 1.06381i | 0.213245 | − | 0.0424170i | ||||
\(630\) | −2.95056 | − | 9.62464i | −0.117553 | − | 0.383455i | ||||
\(631\) | −7.79289 | + | 18.8137i | −0.310230 | + | 0.748962i | 0.689466 | + | 0.724318i | \(0.257845\pi\) |
−0.999696 | + | 0.0246440i | \(0.992155\pi\) | |||||||
\(632\) | 9.14824 | − | 19.3037i | 0.363897 | − | 0.767862i | ||||
\(633\) | 5.43550 | − | 1.93794i | 0.216042 | − | 0.0770263i | ||||
\(634\) | −17.6126 | + | 4.81752i | −0.699486 | + | 0.191328i | ||||
\(635\) | 10.1875 | + | 20.6582i | 0.404278 | + | 0.819796i | ||||
\(636\) | −11.5430 | + | 4.25120i | −0.457709 | + | 0.168571i | ||||
\(637\) | 2.95139 | + | 8.69451i | 0.116938 | + | 0.344489i | ||||
\(638\) | 12.0008 | + | 7.92875i | 0.475115 | + | 0.313902i | ||||
\(639\) | 1.92833 | − | 2.67822i | 0.0762837 | − | 0.105949i | ||||
\(640\) | 21.7835 | − | 0.792762i | 0.861067 | − | 0.0313367i | ||||
\(641\) | −26.9327 | + | 15.5496i | −1.06378 | + | 0.614171i | −0.926474 | − | 0.376358i | \(-0.877176\pi\) |
−0.137302 | + | 0.990529i | \(0.543843\pi\) | |||||||
\(642\) | −33.3276 | + | 14.6095i | −1.31534 | + | 0.576589i | ||||
\(643\) | 33.8327 | + | 29.6705i | 1.33423 | + | 1.17009i | 0.971187 | + | 0.238319i | \(0.0765963\pi\) |
0.363045 | + | 0.931771i | \(0.381737\pi\) | |||||||
\(644\) | −4.56217 | − | 0.552447i | −0.179775 | − | 0.0217695i | ||||
\(645\) | −3.56473 | + | 30.6821i | −0.140361 | + | 1.20810i | ||||
\(646\) | 2.00608 | + | 0.526368i | 0.0789280 | + | 0.0207097i | ||||
\(647\) | 0.0953182 | − | 0.0394821i | 0.00374734 | − | 0.00155220i | −0.380809 | − | 0.924654i | \(-0.624354\pi\) |
0.384556 | + | 0.923102i | \(0.374354\pi\) | |||||||
\(648\) | −15.2718 | + | 20.3660i | −0.599933 | + | 0.800051i | ||||
\(649\) | −17.3907 | − | 7.20347i | −0.682645 | − | 0.282761i | ||||
\(650\) | 1.84405 | − | 2.42925i | 0.0723296 | − | 0.0952830i | ||||
\(651\) | 2.04729 | + | 2.58555i | 0.0802397 | + | 0.101336i | ||||
\(652\) | −1.97763 | − | 0.648471i | −0.0774499 | − | 0.0253961i | ||||
\(653\) | 2.42674 | + | 37.0250i | 0.0949659 | + | 1.44890i | 0.733701 | + | 0.679472i | \(0.237791\pi\) |
−0.638735 | + | 0.769427i | \(0.720542\pi\) | |||||||
\(654\) | 2.38591 | − | 2.48546i | 0.0932965 | − | 0.0971890i | ||||
\(655\) | −7.31043 | + | 27.2829i | −0.285642 | + | 1.06603i | ||||
\(656\) | −4.71232 | + | 2.06768i | −0.183985 | + | 0.0807294i | ||||
\(657\) | 26.2571 | − | 4.27429i | 1.02439 | − | 0.166756i | ||||
\(658\) | −8.76170 | − | 12.9664i | −0.341567 | − | 0.505484i | ||||
\(659\) | −16.2990 | − | 8.03776i | −0.634918 | − | 0.313107i | 0.0961960 | − | 0.995362i | \(-0.469332\pi\) |
−0.731114 | + | 0.682256i | \(0.760999\pi\) | |||||||
\(660\) | −2.14521 | + | 8.91380i | −0.0835023 | + | 0.346969i | ||||
\(661\) | 0.401001 | − | 1.18131i | 0.0155971 | − | 0.0459477i | −0.938853 | − | 0.344319i | \(-0.888110\pi\) |
0.954450 | + | 0.298371i | \(0.0964433\pi\) | |||||||
\(662\) | 21.4083 | + | 27.6016i | 0.832056 | + | 1.07277i | ||||
\(663\) | −3.85223 | + | 8.12116i | −0.149608 | + | 0.315400i | ||||
\(664\) | 25.2128 | + | 18.7293i | 0.978447 | + | 0.726838i | ||||
\(665\) | 1.03732 | − | 0.429674i | 0.0402257 | − | 0.0166620i | ||||
\(666\) | −7.43104 | − | 0.709822i | −0.287947 | − | 0.0275050i | ||||
\(667\) | 7.67460 | − | 11.4859i | 0.297162 | − | 0.444734i | ||||
\(668\) | 36.1521 | + | 9.28532i | 1.39877 | + | 0.359260i | ||||
\(669\) | −23.5098 | − | 22.8041i | −0.908941 | − | 0.881659i | ||||
\(670\) | −21.5753 | − | 7.19900i | −0.833526 | − | 0.278122i | ||||
\(671\) | −11.5415 | − | 6.66348i | −0.445554 | − | 0.257241i | ||||
\(672\) | 7.57537 | − | 9.39218i | 0.292226 | − | 0.362311i | ||||
\(673\) | −26.2437 | + | 15.1518i | −1.01162 | + | 0.584059i | −0.911665 | − | 0.410934i | \(-0.865203\pi\) |
−0.0999538 | + | 0.994992i | \(0.531869\pi\) | |||||||
\(674\) | 43.0300 | − | 8.79189i | 1.65745 | − | 0.338651i | ||||
\(675\) | −1.17574 | − | 6.58809i | −0.0452544 | − | 0.253576i | ||||
\(676\) | −20.3911 | + | 0.211940i | −0.784272 | + | 0.00815152i | ||||
\(677\) | −1.15610 | − | 0.0757746i | −0.0444324 | − | 0.00291225i | 0.0431707 | − | 0.999068i | \(-0.486254\pi\) |
−0.0876031 | + | 0.996155i | \(0.527921\pi\) | |||||||
\(678\) | −4.82863 | + | 2.50513i | −0.185442 | + | 0.0962090i | ||||
\(679\) | −1.07702 | + | 8.18082i | −0.0413324 | + | 0.313951i | ||||
\(680\) | 8.21535 | − | 14.7560i | 0.315044 | − | 0.565866i | ||||
\(681\) | −17.0861 | + | 11.7970i | −0.654742 | + | 0.452063i | ||||
\(682\) | −0.407520 | − | 2.97584i | −0.0156047 | − | 0.113951i | ||||
\(683\) | −7.19152 | + | 1.43048i | −0.275176 | + | 0.0547359i | −0.330749 | − | 0.943719i | \(-0.607301\pi\) |
0.0555731 | + | 0.998455i | \(0.482301\pi\) | |||||||
\(684\) | −2.42318 | − | 1.47962i | −0.0926527 | − | 0.0565747i | ||||
\(685\) | −20.0764 | + | 13.4146i | −0.767080 | + | 0.512547i | ||||
\(686\) | −19.5491 | − | 9.51457i | −0.746387 | − | 0.363268i | ||||
\(687\) | 19.7054 | − | 17.8195i | 0.751806 | − | 0.679856i | ||||
\(688\) | −32.8585 | + | 17.0621i | −1.25272 | + | 0.650485i | ||||
\(689\) | 5.74346 | − | 1.53896i | 0.218808 | − | 0.0586295i | ||||
\(690\) | 8.55003 | + | 2.10473i | 0.325494 | + | 0.0801257i | ||||
\(691\) | 21.9898 | + | 10.8441i | 0.836530 | + | 0.412531i | 0.809511 | − | 0.587104i | \(-0.199732\pi\) |
0.0270184 | + | 0.999635i | \(0.491399\pi\) | |||||||
\(692\) | −1.73529 | + | 2.65641i | −0.0659659 | + | 0.100981i | ||||
\(693\) | 2.94689 | + | 4.13203i | 0.111943 | + | 0.156963i | ||||
\(694\) | 26.9780 | − | 11.3393i | 1.02407 | − | 0.430433i | ||||
\(695\) | 0.242021 | + | 1.83833i | 0.00918037 | + | 0.0697318i | ||||
\(696\) | 14.9067 | + | 33.0667i | 0.565036 | + | 1.25339i | ||||
\(697\) | −0.520417 | + | 3.95296i | −0.0197122 | + | 0.149729i | ||||
\(698\) | −40.7207 | + | 11.1382i | −1.54130 | + | 0.421587i | ||||
\(699\) | 2.18305 | + | 0.253633i | 0.0825704 | + | 0.00959326i | ||||
\(700\) | 0.446719 | + | 3.14058i | 0.0168844 | + | 0.118703i | ||||
\(701\) | 0.293804 | − | 1.47705i | 0.0110968 | − | 0.0557875i | −0.974840 | − | 0.222905i | \(-0.928446\pi\) |
0.985937 | + | 0.167118i | \(0.0534460\pi\) | |||||||
\(702\) | 8.24691 | − | 9.13233i | 0.311260 | − | 0.344678i | ||||
\(703\) | − | 0.832590i | − | 0.0314017i | ||||||
\(704\) | −10.2911 | + | 3.85517i | −0.387862 | + | 0.145297i | ||||
\(705\) | 13.6701 | + | 26.6874i | 0.514846 | + | 1.00511i | ||||
\(706\) | −4.96714 | − | 9.94178i | −0.186941 | − | 0.374164i | ||||
\(707\) | 6.13865 | − | 6.99978i | 0.230868 | − | 0.263254i | ||||
\(708\) | −27.3747 | − | 38.7797i | −1.02880 | − | 1.45743i | ||||
\(709\) | −30.7589 | − | 2.01604i | −1.15517 | − | 0.0757141i | −0.524254 | − | 0.851562i | \(-0.675656\pi\) |
−0.630920 | + | 0.775848i | \(0.717323\pi\) | |||||||
\(710\) | 2.10843 | − | 2.13046i | 0.0791280 | − | 0.0799547i | ||||
\(711\) | 6.52825 | + | 21.6967i | 0.244829 | + | 0.813690i | ||||
\(712\) | −10.5878 | + | 2.27818i | −0.396794 | + | 0.0853786i | ||||
\(713\) | −2.86000 | + | 0.376527i | −0.107108 | + | 0.0141010i | ||||
\(714\) | −3.18537 | − | 8.78958i | −0.119209 | − | 0.328942i | ||||
\(715\) | 1.42456 | − | 4.19661i | 0.0532754 | − | 0.156944i | ||||
\(716\) | 12.3698 | + | 24.4397i | 0.462279 | + | 0.913355i | ||||
\(717\) | 6.42365 | − | 3.84035i | 0.239896 | − | 0.143421i | ||||
\(718\) | 5.26179 | + | 15.2401i | 0.196368 | + | 0.568755i | ||||
\(719\) | −17.8291 | + | 17.8291i | −0.664914 | + | 0.664914i | −0.956534 | − | 0.291620i | \(-0.905806\pi\) |
0.291620 | + | 0.956534i | \(0.405806\pi\) | |||||||
\(720\) | −16.5788 | + | 16.1147i | −0.617854 | + | 0.600561i | ||||
\(721\) | −0.813169 | − | 0.813169i | −0.0302840 | − | 0.0302840i | ||||
\(722\) | −11.6203 | + | 23.8757i | −0.432465 | + | 0.888562i | ||||
\(723\) | 45.1837 | − | 0.688443i | 1.68040 | − | 0.0256035i | ||||
\(724\) | −1.54748 | − | 20.3645i | −0.0575116 | − | 0.756842i | ||||
\(725\) | −9.02947 | − | 3.06509i | −0.335346 | − | 0.113835i | ||||
\(726\) | 1.91471 | + | 22.2399i | 0.0710616 | + | 0.825399i | ||||
\(727\) | −5.82411 | − | 44.2385i | −0.216004 | − | 1.64072i | −0.664757 | − | 0.747060i | \(-0.731465\pi\) |
0.448753 | − | 0.893656i | \(-0.351868\pi\) | |||||||
\(728\) | −4.05956 | + | 4.18815i | −0.150457 | + | 0.155223i | ||||
\(729\) | −2.46469 | − | 26.8873i | −0.0912849 | − | 0.995825i | ||||
\(730\) | 24.1615 | − | 0.125561i | 0.894257 | − | 0.00464721i | ||||
\(731\) | −1.87616 | + | 28.6246i | −0.0693922 | + | 1.05872i | ||||
\(732\) | −15.6316 | − | 29.7506i | −0.577761 | − | 1.09961i | ||||
\(733\) | 16.3078 | + | 14.3016i | 0.602343 | + | 0.528241i | 0.905305 | − | 0.424762i | \(-0.139642\pi\) |
−0.302962 | + | 0.953003i | \(0.597976\pi\) | |||||||
\(734\) | 11.3337 | + | 3.78170i | 0.418334 | + | 0.139585i | ||||
\(735\) | 15.3677 | + | 9.93312i | 0.566848 | + | 0.366389i | ||||
\(736\) | 3.65111 | + | 9.90276i | 0.134582 | + | 0.365021i | ||||
\(737\) | 11.4669 | 0.422387 | ||||||||
\(738\) | 2.23798 | − | 4.97824i | 0.0823812 | − | 0.183252i | ||||
\(739\) | −17.9871 | − | 3.57786i | −0.661667 | − | 0.131614i | −0.147177 | − | 0.989110i | \(-0.547019\pi\) |
−0.514490 | + | 0.857496i | \(0.672019\pi\) | |||||||
\(740\) | −6.56678 | − | 1.68661i | −0.241400 | − | 0.0620012i | ||||
\(741\) | 1.10142 | + | 0.818794i | 0.0404617 | + | 0.0300792i | ||||
\(742\) | −3.06439 | + | 5.37196i | −0.112497 | + | 0.197211i | ||||
\(743\) | 20.4815 | + | 2.69644i | 0.751393 | + | 0.0989227i | 0.496488 | − | 0.868044i | \(-0.334623\pi\) |
0.254905 | + | 0.966966i | \(0.417956\pi\) | |||||||
\(744\) | 3.13909 | − | 6.89325i | 0.115084 | − | 0.252719i | ||||
\(745\) | −1.79153 | + | 0.235859i | −0.0656366 | + | 0.00864122i | ||||
\(746\) | 15.2449 | + | 6.22202i | 0.558155 | + | 0.227804i | ||||
\(747\) | −33.1603 | + | 3.19054i | −1.21327 | + | 0.116736i | ||||
\(748\) | −1.57423 | + | 8.36780i | −0.0575596 | + | 0.305957i | ||||
\(749\) | −8.09180 | + | 16.4086i | −0.295668 | + | 0.599556i | ||||
\(750\) | −0.606280 | − | 29.6688i | −0.0221382 | − | 1.08335i | ||||
\(751\) | 6.53144 | + | 24.3757i | 0.238336 | + | 0.889481i | 0.976617 | + | 0.214988i | \(0.0689711\pi\) |
−0.738281 | + | 0.674493i | \(0.764362\pi\) | |||||||
\(752\) | −17.3197 | + | 31.4927i | −0.631586 | + | 1.14842i | ||||
\(753\) | 12.9691 | − | 40.2081i | 0.472621 | − | 1.46527i | ||||
\(754\) | −5.72199 | − | 16.5730i | −0.208383 | − | 0.603552i | ||||
\(755\) | 10.3631 | + | 15.5095i | 0.377152 | + | 0.564448i | ||||
\(756\) | 0.717607 | + | 12.7783i | 0.0260991 | + | 0.464741i | ||||
\(757\) | 5.99028 | + | 30.1152i | 0.217720 | + | 1.09455i | 0.922757 | + | 0.385383i | \(0.125931\pi\) |
−0.705036 | + | 0.709171i | \(0.749069\pi\) | |||||||
\(758\) | 26.4654 | + | 20.0900i | 0.961268 | + | 0.729701i | ||||
\(759\) | −4.42480 | + | 0.357792i | −0.160610 | + | 0.0129870i | ||||
\(760\) | −1.96504 | − | 1.66982i | −0.0712793 | − | 0.0605708i | ||||
\(761\) | 49.1741 | + | 6.47389i | 1.78256 | + | 0.234678i | 0.948451 | − | 0.316924i | \(-0.102650\pi\) |
0.834107 | + | 0.551602i | \(0.185983\pi\) | |||||||
\(762\) | −6.29859 | − | 28.5985i | −0.228174 | − | 1.03601i | ||||
\(763\) | 0.113290 | − | 1.72848i | 0.00410139 | − | 0.0625751i | ||||
\(764\) | 12.3231 | + | 28.8974i | 0.445834 | + | 1.04547i | ||||
\(765\) | 4.02834 | + | 17.4544i | 0.145645 | + | 0.631067i | ||||
\(766\) | −16.9105 | + | 25.5954i | −0.611003 | + | 0.924798i | ||||
\(767\) | 11.4727 | + | 19.8713i | 0.414254 | + | 0.717510i | ||||
\(768\) | −27.1326 | − | 5.64116i | −0.979063 | − | 0.203558i | ||||
\(769\) | 9.08274 | − | 15.7318i | 0.327532 | − | 0.567302i | −0.654490 | − | 0.756071i | \(-0.727116\pi\) |
0.982022 | + | 0.188769i | \(0.0604498\pi\) | |||||||
\(770\) | 2.06020 | + | 4.12352i | 0.0742446 | + | 0.148601i | ||||
\(771\) | 22.4683 | + | 5.65494i | 0.809177 | + | 0.203658i | ||||
\(772\) | −4.91904 | + | 6.55048i | −0.177040 | + | 0.235757i | ||||
\(773\) | −18.9905 | − | 12.6891i | −0.683043 | − | 0.456394i | 0.165020 | − | 0.986290i | \(-0.447231\pi\) |
−0.848063 | + | 0.529896i | \(0.822231\pi\) | |||||||
\(774\) | 13.7247 | − | 36.7937i | 0.493324 | − | 1.32252i | ||||
\(775\) | 0.762018 | + | 1.83967i | 0.0273725 | + | 0.0660830i | ||||
\(776\) | 17.8480 | − | 6.37057i | 0.640706 | − | 0.228690i | ||||
\(777\) | −3.08846 | + | 2.13241i | −0.110798 | + | 0.0764998i | ||||
\(778\) | −2.87391 | + | 22.7421i | −0.103035 | + | 0.815345i | ||||
\(779\) | 0.576465 | + | 0.195684i | 0.0206540 | + | 0.00701109i | ||||
\(780\) | 8.68917 | − | 7.02842i | 0.311122 | − | 0.251658i | ||||
\(781\) | −0.668366 | + | 1.35531i | −0.0239160 | + | 0.0484969i | ||||
\(782\) | 8.02850 | + | 1.55364i | 0.287099 | + | 0.0555581i | ||||
\(783\) | −35.2455 | − | 15.4213i | −1.25957 | − | 0.551112i | ||||
\(784\) | 0.455890 | + | 21.9286i | 0.0162818 | + | 0.783165i | ||||
\(785\) | −40.2551 | − | 10.7863i | −1.43677 | − | 0.384980i | ||||
\(786\) | 17.3158 | − | 31.4591i | 0.617633 | − | 1.12211i | ||||
\(787\) | 7.20787 | − | 0.472429i | 0.256933 | − | 0.0168403i | 0.0636076 | − | 0.997975i | \(-0.479739\pi\) |
0.193325 | + | 0.981135i | \(0.438073\pi\) | |||||||
\(788\) | −31.5233 | − | 27.0708i | −1.12297 | − | 0.964356i | ||||
\(789\) | −50.8157 | − | 20.1471i | −1.80909 | − | 0.717257i | ||||
\(790\) | 2.79204 | + | 20.3883i | 0.0993362 | + | 0.725384i | ||||
\(791\) | −1.04662 | + | 2.52677i | −0.0372136 | + | 0.0898416i | ||||
\(792\) | 5.35710 | − | 10.3522i | 0.190356 | − | 0.367849i | ||||
\(793\) | 6.21675 | + | 15.0086i | 0.220763 | + | 0.532970i | ||||
\(794\) | 8.93537 | + | 15.2924i | 0.317104 | + | 0.542708i | ||||
\(795\) | 7.06975 | − | 9.51003i | 0.250738 | − | 0.337286i | ||||
\(796\) | 6.71157 | + | 24.0455i | 0.237885 | + | 0.852268i | ||||
\(797\) | −7.58163 | + | 8.64519i | −0.268555 | + | 0.306228i | −0.870361 | − | 0.492414i | \(-0.836115\pi\) |
0.601806 | + | 0.798642i | \(0.294448\pi\) | |||||||
\(798\) | −1.41115 | + | 0.215197i | −0.0499542 | + | 0.00761790i | ||||
\(799\) | 13.9234 | + | 24.1161i | 0.492575 | + | 0.853166i | ||||
\(800\) | 5.95049 | − | 4.20364i | 0.210382 | − | 0.148621i | ||||
\(801\) | 6.71199 | − | 9.32212i | 0.237157 | − | 0.329381i | ||||
\(802\) | 3.45963 | + | 16.9324i | 0.122164 | + | 0.597902i | ||||
\(803\) | −11.5349 | + | 3.91556i | −0.407057 | + | 0.138177i | ||||
\(804\) | 24.4470 | + | 15.4437i | 0.862178 | + | 0.544658i | ||||
\(805\) | 3.97047 | − | 1.95802i | 0.139941 | − | 0.0690112i | ||||
\(806\) | −1.81415 | + | 3.18026i | −0.0639008 | + | 0.112020i | ||||
\(807\) | −10.7037 | + | 12.5870i | −0.376789 | + | 0.443084i | ||||
\(808\) | −20.7378 | − | 5.21157i | −0.729552 | − | 0.183342i | ||||
\(809\) | 45.2831 | + | 18.7569i | 1.59207 | + | 0.659457i | 0.990266 | − | 0.139188i | \(-0.0444493\pi\) |
0.601803 | + | 0.798645i | \(0.294449\pi\) | |||||||
\(810\) | 1.58701 | − | 24.4712i | 0.0557619 | − | 0.859830i | ||||
\(811\) | −3.35656 | − | 16.8746i | −0.117865 | − | 0.592546i | −0.993899 | − | 0.110297i | \(-0.964820\pi\) |
0.876034 | − | 0.482249i | \(-0.160180\pi\) | |||||||
\(812\) | 16.4384 | + | 7.89521i | 0.576876 | + | 0.277068i | ||||
\(813\) | −35.7878 | − | 19.9414i | −1.25513 | − | 0.699375i | ||||
\(814\) | 3.40961 | − | 0.241279i | 0.119507 | − | 0.00845682i | ||||
\(815\) | 1.93662 | − | 0.518914i | 0.0678367 | − | 0.0181768i | ||||
\(816\) | −14.6261 | + | 15.7197i | −0.512015 | + | 0.550299i | ||||
\(817\) | 4.23074 | + | 1.13362i | 0.148015 | + | 0.0396604i | ||||
\(818\) | −21.7579 | − | 4.21050i | −0.760748 | − | 0.147217i | ||||
\(819\) | 0.216355 | − | 6.18275i | 0.00756006 | − | 0.216043i | ||||
\(820\) | 2.71116 | − | 4.15028i | 0.0946779 | − | 0.144934i | ||||
\(821\) | −36.5043 | − | 41.6252i | −1.27401 | − | 1.45273i | −0.831059 | − | 0.556185i | \(-0.812265\pi\) |
−0.442952 | − | 0.896545i | \(-0.646069\pi\) | |||||||
\(822\) | 28.8609 | − | 10.4593i | 1.00664 | − | 0.364810i | ||||
\(823\) | −2.33771 | − | 3.04656i | −0.0814873 | − | 0.106196i | 0.750831 | − | 0.660495i | \(-0.229653\pi\) |
−0.832318 | + | 0.554298i | \(0.812987\pi\) | |||||||
\(824\) | −0.809884 | + | 2.51394i | −0.0282137 | + | 0.0875771i | ||||
\(825\) | 1.02909 | + | 2.88637i | 0.0358283 | + | 0.100490i | ||||
\(826\) | −23.0842 | − | 6.05699i | −0.803201 | − | 0.210749i | ||||
\(827\) | −21.8040 | + | 32.6320i | −0.758199 | + | 1.13473i | 0.228717 | + | 0.973493i | \(0.426547\pi\) |
−0.986916 | + | 0.161233i | \(0.948453\pi\) | |||||||
\(828\) | −9.91540 | − | 5.19658i | −0.344584 | − | 0.180594i | ||||
\(829\) | 15.4774 | + | 3.07864i | 0.537552 | + | 0.106926i | 0.456398 | − | 0.889776i | \(-0.349139\pi\) |
0.0811541 | + | 0.996702i | \(0.474139\pi\) | |||||||
\(830\) | −30.2018 | − | 1.82196i | −1.04832 | − | 0.0632412i | ||||
\(831\) | −11.3931 | − | 7.36405i | −0.395221 | − | 0.255456i | ||||
\(832\) | 12.8131 | + | 3.90842i | 0.444213 | + | 0.135500i | ||||
\(833\) | 14.7170 | + | 8.49688i | 0.509915 | + | 0.294399i | ||||
\(834\) | 0.259880 | − | 2.34297i | 0.00899891 | − | 0.0811303i | ||||
\(835\) | −34.0489 | + | 11.5580i | −1.17831 | + | 0.399983i | ||||
\(836\) | 1.20621 | + | 0.485003i | 0.0417176 | + | 0.0167742i | ||||
\(837\) | 2.43169 | + | 7.65695i | 0.0840515 | + | 0.264663i | ||||
\(838\) | 19.0820 | + | 18.8847i | 0.659175 | + | 0.652359i | ||||
\(839\) | −13.7738 | − | 10.5690i | −0.475526 | − | 0.364884i | 0.343017 | − | 0.939329i | \(-0.388551\pi\) |
−0.818543 | + | 0.574445i | \(0.805218\pi\) | |||||||
\(840\) | −1.16133 | + | 11.5659i | −0.0400697 | + | 0.399062i | ||||
\(841\) | −20.4822 | + | 15.7165i | −0.706282 | + | 0.541949i | ||||
\(842\) | 5.93044 | − | 46.9294i | 0.204376 | − | 1.61729i | ||||
\(843\) | 10.7337 | + | 4.25564i | 0.369688 | + | 0.146572i | ||||
\(844\) | −6.65326 | − | 0.366676i | −0.229015 | − | 0.0126215i | ||||
\(845\) | 16.3339 | − | 10.9139i | 0.561902 | − | 0.375451i | ||||
\(846\) | −8.76565 | − | 37.0999i | −0.301369 | − | 1.27552i | ||||
\(847\) | 7.93577 | + | 7.93577i | 0.272676 | + | 0.272676i | ||||
\(848\) | 14.1897 | + | 0.634180i | 0.487278 | + | 0.0217778i | ||||
\(849\) | 3.90544 | + | 4.31876i | 0.134034 | + | 0.148219i | ||||
\(850\) | −0.398451 | − | 5.63068i | −0.0136668 | − | 0.193131i | ||||
\(851\) | −0.214705 | − | 3.27577i | −0.00736000 | − | 0.112292i | ||||
\(852\) | −3.25029 | + | 1.98932i | −0.111353 | + | 0.0681529i | ||||
\(853\) | −4.79682 | − | 5.46972i | −0.164240 | − | 0.187280i | 0.663866 | − | 0.747852i | \(-0.268915\pi\) |
−0.828106 | + | 0.560572i | \(0.810581\pi\) | |||||||
\(854\) | −15.6439 | − | 6.38486i | −0.535322 | − | 0.218486i | ||||
\(855\) | 2.73385 | − | 0.0833282i | 0.0934957 | − | 0.00284976i | ||||
\(856\) | 42.0134 | − | 0.655044i | 1.43599 | − | 0.0223889i | ||||
\(857\) | 8.10797 | + | 6.22146i | 0.276963 | + | 0.212521i | 0.737897 | − | 0.674913i | \(-0.235819\pi\) |
−0.460934 | + | 0.887434i | \(0.652486\pi\) | |||||||
\(858\) | −3.03393 | + | 4.74780i | −0.103577 | + | 0.162087i | ||||
\(859\) | 19.1774 | + | 38.8879i | 0.654324 | + | 1.32684i | 0.930698 | + | 0.365788i | \(0.119201\pi\) |
−0.276374 | + | 0.961050i | \(0.589133\pi\) | |||||||
\(860\) | 17.5115 | − | 31.0721i | 0.597136 | − | 1.05955i | ||||
\(861\) | −0.750549 | − | 2.63956i | −0.0255786 | − | 0.0899558i | ||||
\(862\) | −4.49326 | − | 5.07019i | −0.153041 | − | 0.172691i | ||||
\(863\) | − | 2.97783i | − | 0.101367i | −0.998715 | − | 0.0506833i | \(-0.983860\pi\) | ||
0.998715 | − | 0.0506833i | \(-0.0161399\pi\) | |||||||
\(864\) | 25.3636 | − | 14.8555i | 0.862889 | − | 0.505394i | ||||
\(865\) | − | 3.05665i | − | 0.103929i | ||||||
\(866\) | 35.2028 | − | 31.1972i | 1.19624 | − | 1.06012i | ||||
\(867\) | −3.50328 | − | 12.3205i | −0.118978 | − | 0.418425i | ||||
\(868\) | −1.02380 | − | 3.66794i | −0.0347499 | − | 0.124498i | ||||
\(869\) | −4.58867 | − | 9.30491i | −0.155660 | − | 0.315647i | ||||
\(870\) | −29.4435 | − | 18.8149i | −0.998227 | − | 0.637885i | ||||
\(871\) | −11.0893 | − | 8.50911i | −0.375746 | − | 0.288320i | ||||
\(872\) | −3.65128 | + | 1.57954i | −0.123648 | + | 0.0534899i | ||||
\(873\) | −9.51521 | + | 17.7056i | −0.322041 | + | 0.599243i | ||||
\(874\) | 0.471813 | − | 1.15601i | 0.0159593 | − | 0.0391027i | ||||
\(875\) | −9.83723 | − | 11.2172i | −0.332559 | − | 0.379211i | ||||
\(876\) | −29.8655 | − | 7.18749i | −1.00906 | − | 0.242843i | ||||
\(877\) | −2.56832 | − | 39.1849i | −0.0867258 | − | 1.32318i | −0.790371 | − | 0.612629i | \(-0.790112\pi\) |
0.703645 | − | 0.710552i | \(-0.251555\pi\) | |||||||
\(878\) | 19.2484 | − | 1.36210i | 0.649601 | − | 0.0459686i | ||||
\(879\) | −24.2530 | − | 26.8197i | −0.818033 | − | 0.904607i | ||||
\(880\) | 6.26878 | − | 8.53109i | 0.211320 | − | 0.287583i | ||||
\(881\) | 29.4301 | + | 29.4301i | 0.991524 | + | 0.991524i | 0.999964 | − | 0.00844056i | \(-0.00268675\pi\) |
−0.00844056 | + | 0.999964i | \(0.502687\pi\) | |||||||
\(882\) | −15.9529 | − | 16.9326i | −0.537161 | − | 0.570150i | ||||
\(883\) | 43.3815 | − | 28.9866i | 1.45990 | − | 0.975475i | 0.463924 | − | 0.885875i | \(-0.346441\pi\) |
0.995978 | − | 0.0896006i | \(-0.0285591\pi\) | |||||||
\(884\) | 7.73181 | − | 6.92409i | 0.260049 | − | 0.232882i | ||||
\(885\) | 42.5089 | + | 16.8537i | 1.42892 | + | 0.566531i | ||||
\(886\) | −39.3776 | − | 4.97612i | −1.32292 | − | 0.167176i | ||||
\(887\) | −7.45308 | + | 5.71895i | −0.250250 | + | 0.192024i | −0.726267 | − | 0.687412i | \(-0.758747\pi\) |
0.476017 | + | 0.879436i | \(0.342080\pi\) | |||||||
\(888\) | 7.59415 | + | 4.07772i | 0.254843 | + | 0.136839i | ||||
\(889\) | −11.6805 | − | 8.96280i | −0.391753 | − | 0.300603i | ||||
\(890\) | 7.33886 | − | 7.41553i | 0.245999 | − | 0.248569i | ||||
\(891\) | 3.14597 | + | 11.9563i | 0.105394 | + | 0.400550i | ||||
\(892\) | 14.8353 | + | 34.7884i | 0.496722 | + | 1.16480i | ||||
\(893\) | 4.02620 | − | 1.36671i | 0.134732 | − | 0.0457353i | ||||
\(894\) | 2.28332 | + | 0.253264i | 0.0763656 | + | 0.00847041i | ||||
\(895\) | −22.8523 | − | 13.1938i | −0.763868 | − | 0.441020i | ||||
\(896\) | −12.2639 | + | 6.61287i | −0.409707 | + | 0.220920i | ||||
\(897\) | 4.54460 | + | 2.93746i | 0.151740 | + | 0.0980789i | ||||
\(898\) | 0.213724 | − | 3.54281i | 0.00713208 | − | 0.118225i | ||||
\(899\) | 11.2272 | + | 2.23323i | 0.374448 | + | 0.0744824i | ||||
\(900\) | −1.69342 | + | 7.53964i | −0.0564472 | + | 0.251321i | ||||
\(901\) | 6.11408 | − | 9.15037i | 0.203689 | − | 0.304843i | ||||
\(902\) | −0.634305 | + | 2.41744i | −0.0211201 | + | 0.0804920i | ||||
\(903\) | −6.63053 | − | 18.5971i | −0.220650 | − | 0.618874i | ||||
\(904\) | 6.26071 | − | 0.508481i | 0.208228 | − | 0.0169118i | ||||
\(905\) | 11.9771 | + | 15.6088i | 0.398132 | + | 0.518855i | ||||
\(906\) | −8.08004 | − | 22.2957i | −0.268441 | − | 0.740726i | ||||
\(907\) | −13.6325 | − | 15.5449i | −0.452661 | − | 0.516161i | 0.479826 | − | 0.877364i | \(-0.340700\pi\) |
−0.932488 | + | 0.361202i | \(0.882366\pi\) | |||||||
\(908\) | 23.4646 | − | 4.92146i | 0.778700 | − | 0.163324i | ||||
\(909\) | 20.0257 | − | 10.6460i | 0.664211 | − | 0.353106i | ||||
\(910\) | 1.06754 | − | 5.51654i | 0.0353885 | − | 0.182872i | ||||
\(911\) | −36.5211 | − | 9.78580i | −1.21000 | − | 0.324218i | −0.403237 | − | 0.915095i | \(-0.632115\pi\) |
−0.806761 | + | 0.590877i | \(0.798782\pi\) | |||||||
\(912\) | 1.91839 | + | 2.65855i | 0.0635243 | + | 0.0880335i | ||||
\(913\) | 14.7343 | − | 3.94806i | 0.487636 | − | 0.130662i | ||||
\(914\) | 3.48638 | + | 49.2675i | 0.115319 | + | 1.62962i | ||||
\(915\) | 28.2811 | + | 15.7585i | 0.934943 | + | 0.520962i | ||||
\(916\) | −28.9455 | + | 10.1624i | −0.956385 | + | 0.335774i | ||||
\(917\) | −3.52222 | − | 17.7074i | −0.116314 | − | 0.584750i | ||||
\(918\) | 0.331285 | − | 22.7717i | 0.0109340 | − | 0.751578i | ||||
\(919\) | 7.85946 | + | 3.25549i | 0.259260 | + | 0.107389i | 0.508528 | − | 0.861046i | \(-0.330190\pi\) |
−0.249268 | + | 0.968435i | \(0.580190\pi\) | |||||||
\(920\) | −8.16190 | − | 6.06306i | −0.269090 | − | 0.199893i | ||||
\(921\) | −16.3588 | + | 19.2371i | −0.539040 | + | 0.633884i | ||||
\(922\) | 40.1211 | + | 22.8867i | 1.32132 | + | 0.753735i | ||||
\(923\) | 1.65208 | − | 0.814717i | 0.0543790 | − | 0.0268167i | ||||
\(924\) | −1.29021 | − | 5.71656i | −0.0424449 | − | 0.188061i | ||||
\(925\) | −2.14580 | + | 0.728401i | −0.0705535 | + | 0.0239497i | ||||
\(926\) | −14.6522 | + | 2.99375i | −0.481503 | + | 0.0983808i | ||||
\(927\) | −1.15040 | − | 2.55428i | −0.0377840 | − | 0.0838936i | ||||
\(928\) | −1.08813 | − | 41.8684i | −0.0357196 | − | 1.37440i | ||||
\(929\) | −16.5607 | − | 28.6839i | −0.543338 | − | 0.941090i | −0.998709 | − | 0.0507880i | \(-0.983827\pi\) |
0.455371 | − | 0.890302i | \(-0.349507\pi\) | |||||||
\(930\) | 1.10001 | + | 7.21327i | 0.0360706 | + | 0.236532i | ||||
\(931\) | 1.71082 | − | 1.95082i | 0.0560699 | − | 0.0639354i | ||||
\(932\) | −2.21080 | − | 1.24595i | −0.0724171 | − | 0.0408125i | ||||
\(933\) | −33.8480 | + | 45.5313i | −1.10813 | + | 1.49063i | ||||
\(934\) | 32.4510 | − | 18.9611i | 1.06183 | − | 0.620426i | ||||
\(935\) | −3.13894 | − | 7.57806i | −0.102654 | − | 0.247829i | ||||
\(936\) | −12.8627 | + | 6.03601i | −0.420429 | + | 0.197293i | ||||
\(937\) | 3.29889 | − | 7.96422i | 0.107770 | − | 0.260180i | −0.860790 | − | 0.508961i | \(-0.830030\pi\) |
0.968560 | + | 0.248781i | \(0.0800299\pi\) | |||||||
\(938\) | 14.4039 | − | 1.97251i | 0.470303 | − | 0.0644047i | ||||
\(939\) | 16.4361 | + | 6.51649i | 0.536371 | + | 0.212658i | ||||
\(940\) | −2.62344 | − | 34.5240i | −0.0855672 | − | 1.12605i | ||||
\(941\) | −35.5190 | + | 2.32804i | −1.15789 | + | 0.0758919i | −0.632213 | − | 0.774795i | \(-0.717853\pi\) |
−0.525673 | + | 0.850687i | \(0.676187\pi\) | |||||||
\(942\) | 46.4170 | + | 25.5489i | 1.51235 | + | 0.832429i | ||||
\(943\) | 2.31852 | + | 0.621247i | 0.0755015 | + | 0.0202306i | ||||
\(944\) | 11.8083 | + | 53.5246i | 0.384327 | + | 1.74208i | ||||
\(945\) | −7.31097 | − | 9.92769i | −0.237826 | − | 0.322948i | ||||
\(946\) | −3.41636 | + | 17.6542i | −0.111075 | + | 0.573987i | ||||
\(947\) | 2.87025 | − | 5.82030i | 0.0932707 | − | 0.189134i | −0.845238 | − | 0.534390i | \(-0.820541\pi\) |
0.938509 | + | 0.345256i | \(0.112208\pi\) | |||||||
\(948\) | 2.74909 | − | 26.0179i | 0.0892862 | − | 0.845021i | ||||
\(949\) | 14.0607 | + | 4.77295i | 0.456428 | + | 0.154936i | ||||
\(950\) | −0.855080 | − | 0.108056i | −0.0277424 | − | 0.00350579i | ||||
\(951\) | −18.4030 | + | 12.7062i | −0.596757 | + | 0.412028i | ||||
\(952\) | −0.538027 | + | 10.7818i | −0.0174375 | + | 0.349442i | ||||
\(953\) | 19.2800 | + | 46.5461i | 0.624542 | + | 1.50778i | 0.846317 | + | 0.532679i | \(0.178815\pi\) |
−0.221775 | + | 0.975098i | \(0.571185\pi\) | |||||||
\(954\) | −11.6176 | + | 9.59169i | −0.376135 | + | 0.310542i | ||||
\(955\) | −25.1632 | − | 16.8135i | −0.814262 | − | 0.544073i | ||||
\(956\) | −8.55576 | + | 1.21698i | −0.276713 | + | 0.0393599i | ||||
\(957\) | 17.0833 | + | 4.29961i | 0.552224 | + | 0.138987i | ||||
\(958\) | 12.8882 | − | 6.43925i | 0.416400 | − | 0.208043i | ||||
\(959\) | 7.71693 | − | 13.3661i | 0.249193 | − | 0.431614i | ||||
\(960\) | 24.8546 | − | 9.74514i | 0.802180 | − | 0.314523i | ||||
\(961\) | 14.3048 | + | 24.7766i | 0.461444 | + | 0.799245i | ||||
\(962\) | −3.47639 | − | 2.29681i | −0.112083 | − | 0.0740521i | ||||
\(963\) | −32.5967 | + | 30.3925i | −1.05041 | + | 0.979384i | ||||
\(964\) | −48.4126 | − | 19.4662i | −1.55927 | − | 0.626963i | ||||
\(965\) | 0.516128 | − | 7.87459i | 0.0166148 | − | 0.253492i | ||||
\(966\) | −5.49658 | + | 1.21058i | −0.176850 | + | 0.0389498i | ||||
\(967\) | −57.1170 | − | 7.51960i | −1.83676 | − | 0.241814i | −0.869200 | − | 0.494460i | \(-0.835366\pi\) |
−0.967559 | + | 0.252646i | \(0.918699\pi\) | |||||||
\(968\) | 7.90372 | − | 24.5337i | 0.254035 | − | 0.788542i | ||||
\(969\) | 2.53184 | − | 0.204726i | 0.0813343 | − | 0.00657675i | ||||
\(970\) | −11.0382 | + | 14.5411i | −0.354415 | + | 0.466887i | ||||
\(971\) | −8.87799 | − | 44.6327i | −0.284908 | − | 1.43233i | −0.812564 | − | 0.582872i | \(-0.801929\pi\) |
0.527656 | − | 0.849458i | \(-0.323071\pi\) | |||||||
\(972\) | −9.39578 | + | 29.7274i | −0.301370 | + | 0.953507i | ||||
\(973\) | −0.658459 | − | 0.985454i | −0.0211092 | − | 0.0315922i | ||||
\(974\) | 14.0728 | − | 4.85878i | 0.450922 | − | 0.155685i | ||||
\(975\) | 1.14666 | − | 3.55498i | 0.0367224 | − | 0.113850i | ||||
\(976\) | 3.34237 | + | 38.6621i | 0.106987 | + | 1.23754i | ||||
\(977\) | 2.22360 | + | 8.29858i | 0.0711392 | + | 0.265495i | 0.992330 | − | 0.123616i | \(-0.0394490\pi\) |
−0.921191 | + | 0.389111i | \(0.872782\pi\) | |||||||
\(978\) | −2.54845 | + | 0.0520772i | −0.0814903 | + | 0.00166525i | ||||
\(979\) | −2.32639 | + | 4.71746i | −0.0743519 | + | 0.150771i | ||||
\(980\) | −11.9207 | − | 17.4454i | −0.380794 | − | 0.557273i | ||||
\(981\) | 1.75012 | − | 3.83955i | 0.0558771 | − | 0.122588i | ||||
\(982\) | −2.25125 | + | 5.51591i | −0.0718404 | + | 0.176020i | ||||
\(983\) | −2.44192 | + | 0.321485i | −0.0778852 | + | 0.0102538i | −0.169368 | − | 0.985553i | \(-0.554173\pi\) |
0.0914829 | + | 0.995807i | \(0.470839\pi\) | |||||||
\(984\) | −4.60817 | + | 4.29962i | −0.146903 | + | 0.137067i | ||||
\(985\) | 39.6859 | + | 5.22475i | 1.26450 | + | 0.166474i | ||||
\(986\) | −28.1867 | − | 16.0789i | −0.897646 | − | 0.512055i | ||||
\(987\) | −15.3816 | − | 11.4346i | −0.489601 | − | 0.363969i | ||||
\(988\) | −0.806591 | − | 1.36411i | −0.0256611 | − | 0.0433983i | ||||
\(989\) | 16.9379 | + | 3.36915i | 0.538593 | + | 0.107133i | ||||
\(990\) | 1.13350 | + | 11.1715i | 0.0360248 | + | 0.355053i | ||||
\(991\) | 31.1462 | 0.989392 | 0.494696 | − | 0.869066i | \(-0.335279\pi\) | ||||
0.494696 | + | 0.869066i | \(0.335279\pi\) | |||||||
\(992\) | −6.42363 | + | 5.93560i | −0.203950 | + | 0.188455i | ||||
\(993\) | 35.9294 | + | 23.2234i | 1.14018 | + | 0.736971i | ||||
\(994\) | −0.606417 | + | 1.81742i | −0.0192344 | + | 0.0576451i | ||||
\(995\) | −18.0812 | − | 15.8568i | −0.573214 | − | 0.502695i | ||||
\(996\) | 36.7305 | + | 11.4273i | 1.16385 | + | 0.362088i | ||||
\(997\) | 1.50167 | − | 22.9111i | 0.0475584 | − | 0.725601i | −0.905790 | − | 0.423727i | \(-0.860721\pi\) |
0.953348 | − | 0.301873i | \(-0.0976119\pi\) | |||||||
\(998\) | 0.0657277 | + | 12.6479i | 0.00208058 | + | 0.400362i | ||||
\(999\) | −8.87602 | + | 2.19146i | −0.280825 | + | 0.0693347i |
(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 | 576.2.bl.a.419.2 | yes | 1504 | |
9.2 | odd | 6 | inner | 576.2.bl.a.227.36 | yes | 1504 | |
64.11 | odd | 16 | inner | 576.2.bl.a.203.36 | yes | 1504 | |
576.11 | even | 48 | inner | 576.2.bl.a.11.2 | ✓ | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bl.a.11.2 | ✓ | 1504 | 576.11 | even | 48 | inner | |
576.2.bl.a.203.36 | yes | 1504 | 64.11 | odd | 16 | inner | |
576.2.bl.a.227.36 | yes | 1504 | 9.2 | odd | 6 | inner | |
576.2.bl.a.419.2 | yes | 1504 | 1.1 | even | 1 | trivial |