Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,2,Mod(55,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.55");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.x (of order \(14\), degree \(6\), 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: | \(4.69520363885\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 223.14 | ||
Character | \(\chi\) | \(=\) | 588.223 |
Dual form | 588.2.x.b.559.14 |
$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{14}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0968063 | + | 1.41090i | −0.0684524 | + | 0.997654i | ||||
\(3\) | 0.222521 | − | 0.974928i | 0.128473 | − | 0.562875i | ||||
\(4\) | −1.98126 | − | 0.273167i | −0.990629 | − | 0.136584i | ||||
\(5\) | −3.84631 | − | 0.877896i | −1.72012 | − | 0.392607i | −0.755274 | − | 0.655409i | \(-0.772496\pi\) |
−0.964850 | + | 0.262802i | \(0.915353\pi\) | |||||||
\(6\) | 1.35398 | + | 0.408333i | 0.552760 | + | 0.166701i | ||||
\(7\) | 2.22982 | + | 1.42405i | 0.842792 | + | 0.538240i | ||||
\(8\) | 0.577209 | − | 2.76890i | 0.204074 | − | 0.978955i | ||||
\(9\) | −0.900969 | − | 0.433884i | −0.300323 | − | 0.144628i | ||||
\(10\) | 1.61097 | − | 5.34176i | 0.509433 | − | 1.68921i | ||||
\(11\) | 0.211161 | + | 0.438481i | 0.0636676 | + | 0.132207i | 0.930374 | − | 0.366611i | \(-0.119482\pi\) |
−0.866707 | + | 0.498818i | \(0.833768\pi\) | |||||||
\(12\) | −0.707190 | + | 1.87080i | −0.204148 | + | 0.540053i | ||||
\(13\) | 1.80566 | + | 3.74949i | 0.500800 | + | 1.03992i | 0.986189 | + | 0.165624i | \(0.0529638\pi\) |
−0.485389 | + | 0.874299i | \(0.661322\pi\) | |||||||
\(14\) | −2.22505 | + | 3.00818i | −0.594669 | + | 0.803971i | ||||
\(15\) | −1.71177 | + | 3.55453i | −0.441977 | + | 0.917775i | ||||
\(16\) | 3.85076 | + | 1.08243i | 0.962690 | + | 0.270607i | ||||
\(17\) | 3.87770 | − | 3.09236i | 0.940480 | − | 0.750007i | −0.0278684 | − | 0.999612i | \(-0.508872\pi\) |
0.968348 | + | 0.249604i | \(0.0803005\pi\) | |||||||
\(18\) | 0.699384 | − | 1.22917i | 0.164847 | − | 0.289718i | ||||
\(19\) | 1.26247 | 0.289631 | 0.144815 | − | 0.989459i | \(-0.453741\pi\) | ||||
0.144815 | + | 0.989459i | \(0.453741\pi\) | |||||||
\(20\) | 7.38072 | + | 2.79002i | 1.65038 | + | 0.623868i | ||||
\(21\) | 1.88453 | − | 1.85703i | 0.411237 | − | 0.405237i | ||||
\(22\) | −0.639093 | + | 0.255479i | −0.136255 | + | 0.0544683i | ||||
\(23\) | 1.01756 | + | 0.811475i | 0.212175 | + | 0.169204i | 0.723811 | − | 0.689998i | \(-0.242389\pi\) |
−0.511636 | + | 0.859203i | \(0.670960\pi\) | |||||||
\(24\) | −2.57104 | − | 1.17888i | −0.524811 | − | 0.240637i | ||||
\(25\) | 9.51858 | + | 4.58391i | 1.90372 | + | 0.916781i | ||||
\(26\) | −5.46495 | + | 2.18463i | −1.07176 | + | 0.428440i | ||||
\(27\) | −0.623490 | + | 0.781831i | −0.119991 | + | 0.150464i | ||||
\(28\) | −4.02884 | − | 3.43052i | −0.761379 | − | 0.648307i | ||||
\(29\) | 3.84838 | + | 4.82572i | 0.714627 | + | 0.896114i | 0.998020 | − | 0.0628897i | \(-0.0200316\pi\) |
−0.283393 | + | 0.959004i | \(0.591460\pi\) | |||||||
\(30\) | −4.84936 | − | 2.75923i | −0.885368 | − | 0.503764i | ||||
\(31\) | 1.46864 | 0.263775 | 0.131887 | − | 0.991265i | \(-0.457896\pi\) | ||||
0.131887 | + | 0.991265i | \(0.457896\pi\) | |||||||
\(32\) | −1.89997 | + | 5.32824i | −0.335871 | + | 0.941908i | ||||
\(33\) | 0.474475 | − | 0.108296i | 0.0825956 | − | 0.0188519i | ||||
\(34\) | 3.98761 | + | 5.77039i | 0.683870 | + | 0.989613i | ||||
\(35\) | −7.32641 | − | 7.43489i | −1.23839 | − | 1.25673i | ||||
\(36\) | 1.66653 | + | 1.10575i | 0.277755 | + | 0.184292i | ||||
\(37\) | 5.94597 | + | 7.45601i | 0.977511 | + | 1.22576i | 0.974182 | + | 0.225765i | \(0.0724883\pi\) |
0.00332925 | + | 0.999994i | \(0.498940\pi\) | |||||||
\(38\) | −0.122215 | + | 1.78122i | −0.0198259 | + | 0.288951i | ||||
\(39\) | 4.05728 | − | 0.926049i | 0.649685 | − | 0.148286i | ||||
\(40\) | −4.65094 | + | 10.1433i | −0.735378 | + | 1.60380i | ||||
\(41\) | −0.785690 | − | 0.179329i | −0.122704 | − | 0.0280064i | 0.160728 | − | 0.986999i | \(-0.448616\pi\) |
−0.283432 | + | 0.958992i | \(0.591473\pi\) | |||||||
\(42\) | 2.43764 | + | 2.83864i | 0.376136 | + | 0.438012i | ||||
\(43\) | −9.95871 | + | 2.27301i | −1.51869 | + | 0.346631i | −0.898906 | − | 0.438142i | \(-0.855637\pi\) |
−0.619783 | + | 0.784773i | \(0.712779\pi\) | |||||||
\(44\) | −0.298586 | − | 0.926427i | −0.0450136 | − | 0.139664i | ||||
\(45\) | 3.08450 | + | 2.45981i | 0.459811 | + | 0.366687i | ||||
\(46\) | −1.24341 | + | 1.35711i | −0.183331 | + | 0.200095i | ||||
\(47\) | 7.29098 | − | 3.51115i | 1.06350 | − | 0.512154i | 0.181493 | − | 0.983392i | \(-0.441907\pi\) |
0.882006 | + | 0.471238i | \(0.156193\pi\) | |||||||
\(48\) | 1.91217 | − | 3.51335i | 0.275997 | − | 0.507108i | ||||
\(49\) | 2.94417 | + | 6.35074i | 0.420595 | + | 0.907248i | ||||
\(50\) | −7.38887 | + | 12.9860i | −1.04494 | + | 1.83649i | ||||
\(51\) | −2.15196 | − | 4.46859i | −0.301335 | − | 0.625728i | ||||
\(52\) | −2.55324 | − | 7.92196i | −0.354071 | − | 1.09858i | ||||
\(53\) | 4.02092 | − | 5.04208i | 0.552316 | − | 0.692583i | −0.424800 | − | 0.905287i | \(-0.639656\pi\) |
0.977117 | + | 0.212704i | \(0.0682272\pi\) | |||||||
\(54\) | −1.04273 | − | 0.955366i | −0.141897 | − | 0.130009i | ||||
\(55\) | −0.427252 | − | 1.87191i | −0.0576107 | − | 0.252409i | ||||
\(56\) | 5.23013 | − | 5.35218i | 0.698905 | − | 0.715215i | ||||
\(57\) | 0.280926 | − | 1.23082i | 0.0372096 | − | 0.163026i | ||||
\(58\) | −7.18114 | + | 4.96251i | −0.942930 | + | 0.651610i | ||||
\(59\) | −0.246939 | − | 1.08191i | −0.0321487 | − | 0.140853i | 0.956307 | − | 0.292366i | \(-0.0944425\pi\) |
−0.988455 | + | 0.151513i | \(0.951585\pi\) | |||||||
\(60\) | 4.36244 | − | 6.57483i | 0.563188 | − | 0.848807i | ||||
\(61\) | 4.52728 | − | 3.61038i | 0.579659 | − | 0.462262i | −0.289237 | − | 0.957257i | \(-0.593402\pi\) |
0.868896 | + | 0.494995i | \(0.164830\pi\) | |||||||
\(62\) | −0.142173 | + | 2.07209i | −0.0180560 | + | 0.263156i | ||||
\(63\) | −1.39112 | − | 2.25051i | −0.175265 | − | 0.283537i | ||||
\(64\) | −7.33366 | − | 3.19647i | −0.916707 | − | 0.399559i | ||||
\(65\) | −3.65347 | − | 16.0069i | −0.453158 | − | 1.98541i | ||||
\(66\) | 0.106862 | + | 0.679919i | 0.0131538 | + | 0.0836923i | ||||
\(67\) | − | 5.76579i | − | 0.704404i | −0.935924 | − | 0.352202i | \(-0.885433\pi\) | ||
0.935924 | − | 0.352202i | \(-0.114567\pi\) | |||||||
\(68\) | −8.52745 | + | 5.06750i | −1.03410 | + | 0.614525i | ||||
\(69\) | 1.01756 | − | 0.811475i | 0.122500 | − | 0.0976901i | ||||
\(70\) | 11.1991 | − | 9.61706i | 1.33855 | − | 1.14946i | ||||
\(71\) | −3.14148 | − | 2.50524i | −0.372825 | − | 0.297318i | 0.419096 | − | 0.907942i | \(-0.362347\pi\) |
−0.791920 | + | 0.610624i | \(0.790919\pi\) | |||||||
\(72\) | −1.72143 | + | 2.24425i | −0.202872 | + | 0.264488i | ||||
\(73\) | 6.35632 | − | 13.1990i | 0.743952 | − | 1.54483i | −0.0918335 | − | 0.995774i | \(-0.529273\pi\) |
0.835785 | − | 0.549057i | \(-0.185013\pi\) | |||||||
\(74\) | −11.0953 | + | 7.66735i | −1.28980 | + | 0.891312i | ||||
\(75\) | 6.58706 | − | 8.25991i | 0.760608 | − | 0.953772i | ||||
\(76\) | −2.50128 | − | 0.344866i | −0.286916 | − | 0.0395588i | ||||
\(77\) | −0.153568 | + | 1.27844i | −0.0175006 | + | 0.145691i | ||||
\(78\) | 0.913788 | + | 5.81405i | 0.103466 | + | 0.658312i | ||||
\(79\) | 17.2973i | 1.94610i | 0.230603 | + | 0.973048i | \(0.425930\pi\) | ||||
−0.230603 | + | 0.973048i | \(0.574070\pi\) | |||||||
\(80\) | −13.8610 | − | 7.54393i | −1.54970 | − | 0.843437i | ||||
\(81\) | 0.623490 | + | 0.781831i | 0.0692766 | + | 0.0868702i | ||||
\(82\) | 0.329074 | − | 1.09117i | 0.0363401 | − | 0.120499i | ||||
\(83\) | −4.95499 | − | 2.38620i | −0.543881 | − | 0.261919i | 0.141708 | − | 0.989909i | \(-0.454741\pi\) |
−0.685588 | + | 0.727989i | \(0.740455\pi\) | |||||||
\(84\) | −4.24101 | + | 3.16446i | −0.462732 | + | 0.345271i | ||||
\(85\) | −17.6296 | + | 8.48997i | −1.91220 | + | 0.920867i | ||||
\(86\) | −2.24292 | − | 14.2707i | −0.241860 | − | 1.53885i | ||||
\(87\) | 5.56108 | − | 2.67807i | 0.596210 | − | 0.287120i | ||||
\(88\) | 1.33600 | − | 0.331590i | 0.142418 | − | 0.0353477i | ||||
\(89\) | −6.19385 | + | 12.8617i | −0.656547 | + | 1.36333i | 0.260857 | + | 0.965377i | \(0.415995\pi\) |
−0.917404 | + | 0.397957i | \(0.869719\pi\) | |||||||
\(90\) | −3.76914 | + | 4.11379i | −0.397302 | + | 0.433631i | ||||
\(91\) | −1.31317 | + | 10.9320i | −0.137658 | + | 1.14599i | ||||
\(92\) | −1.79437 | − | 1.88570i | −0.187077 | − | 0.196598i | ||||
\(93\) | 0.326802 | − | 1.43181i | 0.0338878 | − | 0.148472i | ||||
\(94\) | 4.24806 | + | 10.6267i | 0.438154 | + | 1.09606i | ||||
\(95\) | −4.85586 | − | 1.10832i | −0.498200 | − | 0.113711i | ||||
\(96\) | 4.77186 | + | 3.03798i | 0.487026 | + | 0.310063i | ||||
\(97\) | − | 3.59515i | − | 0.365033i | −0.983203 | − | 0.182516i | \(-0.941576\pi\) | ||
0.983203 | − | 0.182516i | \(-0.0584242\pi\) | |||||||
\(98\) | −9.24525 | + | 3.53912i | −0.933911 | + | 0.357506i | ||||
\(99\) | − | 0.486678i | − | 0.0489129i | ||||||
\(100\) | −17.6066 | − | 11.6821i | −1.76066 | − | 1.16821i | ||||
\(101\) | −9.20206 | − | 2.10031i | −0.915640 | − | 0.208989i | −0.261360 | − | 0.965241i | \(-0.584171\pi\) |
−0.654280 | + | 0.756253i | \(0.727028\pi\) | |||||||
\(102\) | 6.51304 | − | 2.60360i | 0.644887 | − | 0.257795i | ||||
\(103\) | 3.13189 | − | 13.7217i | 0.308595 | − | 1.35204i | −0.548185 | − | 0.836357i | \(-0.684681\pi\) |
0.856779 | − | 0.515684i | \(-0.172462\pi\) | |||||||
\(104\) | 11.4242 | − | 2.83546i | 1.12024 | − | 0.278040i | ||||
\(105\) | −8.87876 | + | 5.48830i | −0.866478 | + | 0.535603i | ||||
\(106\) | 6.72460 | + | 6.16121i | 0.653151 | + | 0.598430i | ||||
\(107\) | −7.50112 | + | 15.5762i | −0.725161 | + | 1.50581i | 0.132271 | + | 0.991214i | \(0.457773\pi\) |
−0.857431 | + | 0.514598i | \(0.827941\pi\) | |||||||
\(108\) | 1.44886 | − | 1.37869i | 0.139417 | − | 0.132665i | ||||
\(109\) | −1.60357 | + | 0.772241i | −0.153595 | + | 0.0739672i | −0.509102 | − | 0.860706i | \(-0.670022\pi\) |
0.355507 | + | 0.934673i | \(0.384308\pi\) | |||||||
\(110\) | 2.68244 | − | 0.421595i | 0.255760 | − | 0.0401975i | ||||
\(111\) | 8.59217 | − | 4.13777i | 0.815533 | − | 0.392740i | ||||
\(112\) | 7.04506 | + | 7.89729i | 0.665695 | + | 0.746224i | ||||
\(113\) | 13.6982 | + | 6.59671i | 1.28862 | + | 0.620566i | 0.947591 | − | 0.319487i | \(-0.103511\pi\) |
0.341028 | + | 0.940053i | \(0.389225\pi\) | |||||||
\(114\) | 1.70936 | + | 0.515509i | 0.160096 | + | 0.0482818i | ||||
\(115\) | −3.20145 | − | 4.01450i | −0.298537 | − | 0.374354i | ||||
\(116\) | −6.30641 | − | 10.6122i | −0.585535 | − | 0.985323i | ||||
\(117\) | − | 4.16162i | − | 0.384742i | ||||||
\(118\) | 1.55037 | − | 0.243670i | 0.142723 | − | 0.0224316i | ||||
\(119\) | 13.0502 | − | 1.37337i | 1.19631 | − | 0.125896i | ||||
\(120\) | 8.85410 | + | 6.79143i | 0.808265 | + | 0.619970i | ||||
\(121\) | 6.71071 | − | 8.41497i | 0.610065 | − | 0.764997i | ||||
\(122\) | 4.65561 | + | 6.73703i | 0.421499 | + | 0.609942i | ||||
\(123\) | −0.349665 | + | 0.726087i | −0.0315282 | + | 0.0654691i | ||||
\(124\) | −2.90975 | − | 0.401184i | −0.261303 | − | 0.0360274i | ||||
\(125\) | −17.1647 | − | 13.6884i | −1.53526 | − | 1.22433i | ||||
\(126\) | 3.30990 | − | 1.74487i | 0.294869 | − | 0.155445i | ||||
\(127\) | 2.69476 | − | 2.14900i | 0.239121 | − | 0.190693i | −0.496596 | − | 0.867982i | \(-0.665417\pi\) |
0.735717 | + | 0.677289i | \(0.236845\pi\) | |||||||
\(128\) | 5.21984 | − | 10.0376i | 0.461373 | − | 0.887206i | ||||
\(129\) | 10.2148i | 0.899364i | ||||||||
\(130\) | 22.9378 | − | 3.60510i | 2.01178 | − | 0.316188i | ||||
\(131\) | −0.220049 | − | 0.964099i | −0.0192258 | − | 0.0842338i | 0.964405 | − | 0.264430i | \(-0.0851838\pi\) |
−0.983631 | + | 0.180196i | \(0.942327\pi\) | |||||||
\(132\) | −0.969641 | + | 0.0849509i | −0.0843964 | + | 0.00739402i | ||||
\(133\) | 2.81508 | + | 1.79782i | 0.244098 | + | 0.155891i | ||||
\(134\) | 8.13494 | + | 0.558165i | 0.702752 | + | 0.0482181i | ||||
\(135\) | 3.08450 | − | 2.45981i | 0.265472 | − | 0.211707i | ||||
\(136\) | −6.32421 | − | 12.5219i | −0.542296 | − | 1.07374i | ||||
\(137\) | 4.05489 | + | 17.7656i | 0.346432 | + | 1.51782i | 0.785213 | + | 0.619225i | \(0.212553\pi\) |
−0.438781 | + | 0.898594i | \(0.644590\pi\) | |||||||
\(138\) | 1.04640 | + | 1.51422i | 0.0890756 | + | 0.128899i | ||||
\(139\) | 2.69583 | − | 11.8112i | 0.228657 | − | 1.00181i | −0.722079 | − | 0.691811i | \(-0.756813\pi\) |
0.950736 | − | 0.310002i | \(-0.100330\pi\) | |||||||
\(140\) | 12.4845 | + | 16.7318i | 1.05514 | + | 1.41409i | ||||
\(141\) | −1.80072 | − | 7.88948i | −0.151648 | − | 0.664414i | ||||
\(142\) | 3.83876 | − | 4.18978i | 0.322141 | − | 0.351598i | ||||
\(143\) | −1.26280 | + | 1.58350i | −0.105600 | + | 0.132419i | ||||
\(144\) | −2.99977 | − | 2.64602i | −0.249980 | − | 0.220501i | ||||
\(145\) | −10.5656 | − | 21.9397i | −0.877426 | − | 1.82199i | ||||
\(146\) | 18.0072 | + | 10.2459i | 1.49028 | + | 0.847954i | ||||
\(147\) | 6.84665 | − | 1.45718i | 0.564702 | − | 0.120186i | ||||
\(148\) | −9.74375 | − | 16.3965i | −0.800931 | − | 1.34778i | ||||
\(149\) | −6.45073 | + | 3.10651i | −0.528464 | + | 0.254495i | −0.679037 | − | 0.734104i | \(-0.737602\pi\) |
0.150573 | + | 0.988599i | \(0.451888\pi\) | |||||||
\(150\) | 11.0162 | + | 10.0933i | 0.899470 | + | 0.824112i | ||||
\(151\) | 14.3752 | + | 11.4638i | 1.16984 | + | 0.932915i | 0.998630 | − | 0.0523203i | \(-0.0166617\pi\) |
0.171208 | + | 0.985235i | \(0.445233\pi\) | |||||||
\(152\) | 0.728709 | − | 3.49566i | 0.0591061 | − | 0.283535i | ||||
\(153\) | −4.83541 | + | 1.10365i | −0.390920 | + | 0.0892249i | ||||
\(154\) | −1.78888 | − | 0.340429i | −0.144152 | − | 0.0274325i | ||||
\(155\) | −5.64884 | − | 1.28931i | −0.453725 | − | 0.103560i | ||||
\(156\) | −8.29149 | + | 0.726423i | −0.663850 | + | 0.0581604i | ||||
\(157\) | −2.24926 | + | 0.513379i | −0.179511 | + | 0.0409721i | −0.311331 | − | 0.950301i | \(-0.600775\pi\) |
0.131821 | + | 0.991274i | \(0.457918\pi\) | |||||||
\(158\) | −24.4047 | − | 1.67449i | −1.94153 | − | 0.133215i | ||||
\(159\) | −4.02092 | − | 5.04208i | −0.318880 | − | 0.399863i | ||||
\(160\) | 11.9855 | − | 18.8261i | 0.947539 | − | 1.48833i | ||||
\(161\) | 1.11339 | + | 3.25849i | 0.0877472 | + | 0.256805i | ||||
\(162\) | −1.16344 | + | 0.803993i | −0.0914086 | + | 0.0631677i | ||||
\(163\) | −20.1553 | + | 4.60033i | −1.57869 | + | 0.360325i | −0.919947 | − | 0.392044i | \(-0.871768\pi\) |
−0.658742 | + | 0.752369i | \(0.728911\pi\) | |||||||
\(164\) | 1.50767 | + | 0.569921i | 0.117729 | + | 0.0445034i | ||||
\(165\) | −1.92005 | −0.149476 | ||||||||
\(166\) | 3.84635 | − | 6.75998i | 0.298535 | − | 0.524676i | ||||
\(167\) | 5.97855 | + | 7.49686i | 0.462634 | + | 0.580124i | 0.957350 | − | 0.288930i | \(-0.0932995\pi\) |
−0.494716 | + | 0.869054i | \(0.664728\pi\) | |||||||
\(168\) | −4.05417 | − | 6.28997i | −0.312786 | − | 0.485281i | ||||
\(169\) | −2.69293 | + | 3.37682i | −0.207148 | + | 0.259756i | ||||
\(170\) | −10.2718 | − | 25.6954i | −0.787812 | − | 1.97075i | ||||
\(171\) | −1.13745 | − | 0.547765i | −0.0869827 | − | 0.0418887i | ||||
\(172\) | 20.3517 | − | 1.78302i | 1.55180 | − | 0.135954i | ||||
\(173\) | 14.8636 | + | 11.8533i | 1.13006 | + | 0.901191i | 0.995962 | − | 0.0897778i | \(-0.0286157\pi\) |
0.134095 | + | 0.990968i | \(0.457187\pi\) | |||||||
\(174\) | 3.24014 | + | 8.10536i | 0.245634 | + | 0.614466i | ||||
\(175\) | 14.6970 | + | 23.7762i | 1.11099 | + | 1.79731i | ||||
\(176\) | 0.338507 | + | 1.91705i | 0.0255159 | + | 0.144503i | ||||
\(177\) | −1.10973 | −0.0834127 | ||||||||
\(178\) | −17.5469 | − | 9.98398i | −1.31519 | − | 0.748331i | ||||
\(179\) | 2.37352 | − | 1.89282i | 0.177405 | − | 0.141476i | −0.530761 | − | 0.847521i | \(-0.678094\pi\) |
0.708167 | + | 0.706045i | \(0.249523\pi\) | |||||||
\(180\) | −5.43925 | − | 5.71610i | −0.405418 | − | 0.426053i | ||||
\(181\) | −6.09541 | + | 12.6573i | −0.453069 | + | 0.940806i | 0.541883 | + | 0.840454i | \(0.317711\pi\) |
−0.994952 | + | 0.100353i | \(0.968003\pi\) | |||||||
\(182\) | −15.2968 | − | 2.91104i | −1.13388 | − | 0.215780i | ||||
\(183\) | −2.51245 | − | 5.21716i | −0.185726 | − | 0.385663i | ||||
\(184\) | 2.83424 | − | 2.34913i | 0.208943 | − | 0.173180i | ||||
\(185\) | −16.3245 | − | 33.8981i | −1.20020 | − | 2.49224i | ||||
\(186\) | 1.98851 | + | 0.599693i | 0.145804 | + | 0.0439716i | ||||
\(187\) | 2.17476 | + | 1.04731i | 0.159034 | + | 0.0765869i | ||||
\(188\) | −15.4044 | + | 4.96483i | −1.12348 | + | 0.362098i | ||||
\(189\) | −2.50363 | + | 0.855461i | −0.182113 | + | 0.0622256i | ||||
\(190\) | 2.03380 | − | 6.74382i | 0.147547 | − | 0.489248i | ||||
\(191\) | −12.8094 | − | 2.92366i | −0.926856 | − | 0.211549i | −0.267654 | − | 0.963515i | \(-0.586248\pi\) |
−0.659202 | + | 0.751966i | \(0.729106\pi\) | |||||||
\(192\) | −4.74822 | + | 6.43851i | −0.342674 | + | 0.464659i | ||||
\(193\) | 1.21712 | − | 5.33255i | 0.0876101 | − | 0.383845i | −0.912045 | − | 0.410089i | \(-0.865498\pi\) |
0.999656 | + | 0.0262441i | \(0.00835473\pi\) | |||||||
\(194\) | 5.07239 | + | 0.348034i | 0.364176 | + | 0.0249874i | ||||
\(195\) | −16.4186 | −1.17576 | ||||||||
\(196\) | −4.09834 | − | 13.3867i | −0.292738 | − | 0.956193i | ||||
\(197\) | −5.42046 | −0.386192 | −0.193096 | − | 0.981180i | \(-0.561853\pi\) | ||||
−0.193096 | + | 0.981180i | \(0.561853\pi\) | |||||||
\(198\) | 0.686652 | + | 0.0471135i | 0.0487982 | + | 0.00334821i | ||||
\(199\) | 4.19586 | − | 18.3833i | 0.297437 | − | 1.30316i | −0.576492 | − | 0.817103i | \(-0.695579\pi\) |
0.873929 | − | 0.486054i | \(-0.161564\pi\) | |||||||
\(200\) | 18.1866 | − | 23.7102i | 1.28599 | − | 1.67656i | ||||
\(201\) | −5.62123 | − | 1.28301i | −0.396491 | − | 0.0904966i | ||||
\(202\) | 3.85414 | − | 12.7798i | 0.271176 | − | 0.899186i | ||||
\(203\) | 1.70913 | + | 16.2408i | 0.119957 | + | 1.13988i | ||||
\(204\) | 3.04291 | + | 9.44127i | 0.213046 | + | 0.661021i | ||||
\(205\) | 2.86458 | + | 1.37951i | 0.200071 | + | 0.0963491i | ||||
\(206\) | 19.0567 | + | 5.74712i | 1.32775 | + | 0.400421i | ||||
\(207\) | −0.564702 | − | 1.17262i | −0.0392495 | − | 0.0815024i | ||||
\(208\) | 2.89460 | + | 16.3929i | 0.200705 | + | 1.13664i | ||||
\(209\) | 0.266585 | + | 0.553570i | 0.0184401 | + | 0.0382912i | ||||
\(210\) | −6.88390 | − | 13.0583i | −0.475035 | − | 0.901109i | ||||
\(211\) | 10.0671 | − | 20.9046i | 0.693048 | − | 1.43913i | −0.195667 | − | 0.980670i | \(-0.562687\pi\) |
0.888715 | − | 0.458459i | \(-0.151598\pi\) | |||||||
\(212\) | −9.34381 | + | 8.89127i | −0.641736 | + | 0.610655i | ||||
\(213\) | −3.14148 | + | 2.50524i | −0.215250 | + | 0.171657i | ||||
\(214\) | −21.2503 | − | 12.0912i | −1.45264 | − | 0.826536i | ||||
\(215\) | 40.2998 | 2.74842 | ||||||||
\(216\) | 1.80493 | + | 2.17766i | 0.122810 | + | 0.148171i | ||||
\(217\) | 3.27479 | + | 2.09141i | 0.222307 | + | 0.141974i | ||||
\(218\) | −0.934316 | − | 2.33724i | −0.0632798 | − | 0.158298i | ||||
\(219\) | −11.4537 | − | 9.13402i | −0.773969 | − | 0.617220i | ||||
\(220\) | 0.335150 | + | 3.82545i | 0.0225958 | + | 0.257912i | ||||
\(221\) | 18.5966 | + | 8.95565i | 1.25094 | + | 0.602422i | ||||
\(222\) | 5.00619 | + | 12.5232i | 0.335993 | + | 0.840504i | ||||
\(223\) | −9.77737 | + | 12.2604i | −0.654741 | + | 0.821019i | −0.992759 | − | 0.120120i | \(-0.961672\pi\) |
0.338018 | + | 0.941140i | \(0.390243\pi\) | |||||||
\(224\) | −11.8243 | + | 9.17534i | −0.790042 | + | 0.613053i | ||||
\(225\) | −6.58706 | − | 8.25991i | −0.439137 | − | 0.550661i | ||||
\(226\) | −10.6333 | + | 18.6881i | −0.707319 | + | 1.24312i | ||||
\(227\) | −5.31375 | −0.352686 | −0.176343 | − | 0.984329i | \(-0.556427\pi\) | ||||
−0.176343 | + | 0.984329i | \(0.556427\pi\) | |||||||
\(228\) | −0.892806 | + | 2.36183i | −0.0591275 | + | 0.156416i | ||||
\(229\) | 21.3557 | − | 4.87430i | 1.41122 | − | 0.322103i | 0.552061 | − | 0.833804i | \(-0.313842\pi\) |
0.859164 | + | 0.511701i | \(0.170984\pi\) | |||||||
\(230\) | 5.97396 | − | 4.12829i | 0.393911 | − | 0.272212i | ||||
\(231\) | 1.21221 | + | 0.434196i | 0.0797577 | + | 0.0285680i | ||||
\(232\) | 15.5833 | − | 7.87036i | 1.02309 | − | 0.516714i | ||||
\(233\) | 2.34249 | + | 2.93739i | 0.153462 | + | 0.192435i | 0.852619 | − | 0.522533i | \(-0.175013\pi\) |
−0.699157 | + | 0.714968i | \(0.746441\pi\) | |||||||
\(234\) | 5.87162 | + | 0.402872i | 0.383840 | + | 0.0263365i | ||||
\(235\) | −31.1258 | + | 7.10426i | −2.03042 | + | 0.463431i | ||||
\(236\) | 0.193707 | + | 2.21100i | 0.0126093 | + | 0.143924i | ||||
\(237\) | 16.8636 | + | 3.84901i | 1.09541 | + | 0.250020i | ||||
\(238\) | 0.674333 | + | 18.5455i | 0.0437105 | + | 1.20212i | ||||
\(239\) | −6.92758 | + | 1.58118i | −0.448108 | + | 0.102278i | −0.440619 | − | 0.897694i | \(-0.645241\pi\) |
−0.00748909 | + | 0.999972i | \(0.502384\pi\) | |||||||
\(240\) | −10.4391 | + | 11.8348i | −0.673844 | + | 0.763930i | ||||
\(241\) | 6.35072 | + | 5.06453i | 0.409086 | + | 0.326235i | 0.806317 | − | 0.591484i | \(-0.201458\pi\) |
−0.397231 | + | 0.917718i | \(0.630029\pi\) | |||||||
\(242\) | 11.2230 | + | 10.2827i | 0.721442 | + | 0.661000i | ||||
\(243\) | 0.900969 | − | 0.433884i | 0.0577972 | − | 0.0278337i | ||||
\(244\) | −9.95594 | + | 5.91639i | −0.637364 | + | 0.378758i | ||||
\(245\) | −5.74890 | − | 27.0116i | −0.367284 | − | 1.72571i | ||||
\(246\) | −0.990584 | − | 0.563631i | −0.0631573 | − | 0.0359358i | ||||
\(247\) | 2.27959 | + | 4.73363i | 0.145047 | + | 0.301193i | ||||
\(248\) | 0.847710 | − | 4.06651i | 0.0538297 | − | 0.258224i | ||||
\(249\) | −3.42896 | + | 4.29978i | −0.217301 | + | 0.272487i | ||||
\(250\) | 20.9746 | − | 22.8925i | 1.32655 | − | 1.44785i | ||||
\(251\) | 0.449468 | + | 1.96925i | 0.0283702 | + | 0.124298i | 0.987130 | − | 0.159919i | \(-0.0511234\pi\) |
−0.958760 | + | 0.284217i | \(0.908266\pi\) | |||||||
\(252\) | 2.14141 | + | 4.83884i | 0.134896 | + | 0.304818i | ||||
\(253\) | −0.140948 | + | 0.617532i | −0.00886131 | + | 0.0388239i | ||||
\(254\) | 2.77115 | + | 4.01007i | 0.173877 | + | 0.251614i | ||||
\(255\) | 4.35415 | + | 19.0768i | 0.272668 | + | 1.19463i | ||||
\(256\) | 13.6567 | + | 8.33635i | 0.853543 | + | 0.521022i | ||||
\(257\) | −5.51642 | + | 4.39920i | −0.344105 | + | 0.274414i | −0.780258 | − | 0.625458i | \(-0.784912\pi\) |
0.436153 | + | 0.899873i | \(0.356341\pi\) | |||||||
\(258\) | −14.4120 | − | 0.988859i | −0.897255 | − | 0.0615637i | ||||
\(259\) | 2.64070 | + | 25.0929i | 0.164085 | + | 1.55920i | ||||
\(260\) | 2.86590 | + | 32.7118i | 0.177736 | + | 2.02870i | ||||
\(261\) | −1.37347 | − | 6.01758i | −0.0850158 | − | 0.372479i | ||||
\(262\) | 1.38155 | − | 0.217136i | 0.0853522 | − | 0.0134147i | ||||
\(263\) | − | 24.6901i | − | 1.52246i | −0.648483 | − | 0.761229i | \(-0.724596\pi\) | ||
0.648483 | − | 0.761229i | \(-0.275404\pi\) | |||||||
\(264\) | −0.0259895 | − | 1.37629i | −0.00159954 | − | 0.0847046i | ||||
\(265\) | −19.8921 | + | 15.8635i | −1.22196 | + | 0.974484i | ||||
\(266\) | −2.80906 | + | 3.79774i | −0.172234 | + | 0.232855i | ||||
\(267\) | 11.1609 | + | 8.90055i | 0.683038 | + | 0.544705i | ||||
\(268\) | −1.57503 | + | 11.4235i | −0.0962101 | + | 0.697803i | ||||
\(269\) | 3.38566 | − | 7.03040i | 0.206428 | − | 0.428651i | −0.771892 | − | 0.635754i | \(-0.780689\pi\) |
0.978319 | + | 0.207103i | \(0.0664035\pi\) | |||||||
\(270\) | 3.17194 | + | 4.59004i | 0.193038 | + | 0.279341i | ||||
\(271\) | −16.4026 | + | 20.5683i | −0.996389 | + | 1.24943i | −0.0280990 | + | 0.999605i | \(0.508945\pi\) |
−0.968290 | + | 0.249828i | \(0.919626\pi\) | |||||||
\(272\) | 18.2793 | − | 7.71060i | 1.10835 | − | 0.467524i | ||||
\(273\) | 10.3657 | + | 3.71285i | 0.627363 | + | 0.224712i | ||||
\(274\) | −25.4580 | + | 4.00120i | −1.53797 | + | 0.241721i | ||||
\(275\) | 5.14166i | 0.310054i | ||||||||
\(276\) | −2.23771 | + | 1.32978i | −0.134694 | + | 0.0800432i | ||||
\(277\) | 8.41073 | + | 10.5467i | 0.505352 | + | 0.633691i | 0.967427 | − | 0.253149i | \(-0.0814664\pi\) |
−0.462075 | + | 0.886841i | \(0.652895\pi\) | |||||||
\(278\) | 16.4034 | + | 4.94693i | 0.983811 | + | 0.296697i | ||||
\(279\) | −1.32320 | − | 0.637218i | −0.0792177 | − | 0.0381492i | ||||
\(280\) | −24.8154 | + | 15.9946i | −1.48300 | + | 0.955862i | ||||
\(281\) | 2.69279 | − | 1.29678i | 0.160638 | − | 0.0773594i | −0.351837 | − | 0.936061i | \(-0.614443\pi\) |
0.512475 | + | 0.858702i | \(0.328729\pi\) | |||||||
\(282\) | 11.3056 | − | 1.77688i | 0.673237 | − | 0.105812i | ||||
\(283\) | −11.1751 | + | 5.38163i | −0.664289 | + | 0.319905i | −0.735469 | − | 0.677559i | \(-0.763038\pi\) |
0.0711795 | + | 0.997464i | \(0.477324\pi\) | |||||||
\(284\) | 5.53972 | + | 5.82168i | 0.328722 | + | 0.345453i | ||||
\(285\) | −2.16106 | + | 4.48749i | −0.128010 | + | 0.265816i | ||||
\(286\) | −2.11190 | − | 1.93497i | −0.124879 | − | 0.114417i | ||||
\(287\) | −1.49657 | − | 1.51873i | −0.0883399 | − | 0.0896479i | ||||
\(288\) | 4.02365 | − | 3.97621i | 0.237096 | − | 0.234300i | ||||
\(289\) | 1.69099 | − | 7.40869i | 0.0994697 | − | 0.435805i | ||||
\(290\) | 31.9775 | − | 12.7831i | 1.87778 | − | 0.750648i | ||||
\(291\) | −3.50502 | − | 0.799997i | −0.205468 | − | 0.0468967i | ||||
\(292\) | −16.1991 | + | 24.4144i | −0.947978 | + | 1.42874i | ||||
\(293\) | 6.94236i | 0.405577i | 0.979223 | + | 0.202788i | \(0.0650003\pi\) | ||||
−0.979223 | + | 0.202788i | \(0.935000\pi\) | |||||||
\(294\) | 1.39313 | + | 9.80098i | 0.0812490 | + | 0.571605i | ||||
\(295\) | 4.37815i | 0.254906i | ||||||||
\(296\) | 24.0770 | − | 12.1601i | 1.39945 | − | 0.706794i | ||||
\(297\) | −0.474475 | − | 0.108296i | −0.0275319 | − | 0.00628397i | ||||
\(298\) | −3.75849 | − | 9.40204i | −0.217723 | − | 0.544645i | ||||
\(299\) | −1.20526 | + | 5.28058i | −0.0697018 | + | 0.305384i | ||||
\(300\) | −15.3070 | + | 14.5656i | −0.883750 | + | 0.840948i | ||||
\(301\) | −25.4430 | − | 9.11329i | −1.46651 | − | 0.525281i | ||||
\(302\) | −17.5659 | + | 19.1722i | −1.01080 | + | 1.10323i | ||||
\(303\) | −4.09530 | + | 8.50399i | −0.235269 | + | 0.488541i | ||||
\(304\) | 4.86147 | + | 1.36654i | 0.278824 | + | 0.0783762i | ||||
\(305\) | −20.5829 | + | 9.91219i | −1.17857 | + | 0.567570i | ||||
\(306\) | −1.08904 | − | 6.92910i | −0.0622562 | − | 0.396110i | ||||
\(307\) | −9.88187 | + | 4.75886i | −0.563988 | + | 0.271602i | −0.694078 | − | 0.719900i | \(-0.744188\pi\) |
0.130090 | + | 0.991502i | \(0.458473\pi\) | |||||||
\(308\) | 0.653484 | − | 2.49096i | 0.0372357 | − | 0.141936i | ||||
\(309\) | −12.6808 | − | 6.10674i | −0.721384 | − | 0.347400i | ||||
\(310\) | 2.36593 | − | 7.84511i | 0.134376 | − | 0.445572i | ||||
\(311\) | −4.50930 | − | 5.65449i | −0.255699 | − | 0.320637i | 0.637368 | − | 0.770559i | \(-0.280023\pi\) |
−0.893068 | + | 0.449923i | \(0.851452\pi\) | |||||||
\(312\) | −0.222239 | − | 11.7688i | −0.0125818 | − | 0.666275i | ||||
\(313\) | − | 7.77323i | − | 0.439369i | −0.975571 | − | 0.219684i | \(-0.929497\pi\) | ||
0.975571 | − | 0.219684i | \(-0.0705028\pi\) | |||||||
\(314\) | −0.506582 | − | 3.22317i | −0.0285881 | − | 0.181894i | ||||
\(315\) | 3.37499 | + | 9.87741i | 0.190159 | + | 0.556529i | ||||
\(316\) | 4.72505 | − | 34.2704i | 0.265805 | − | 1.92786i | ||||
\(317\) | 7.45847 | − | 9.35262i | 0.418909 | − | 0.525296i | −0.526940 | − | 0.849903i | \(-0.676661\pi\) |
0.945849 | + | 0.324607i | \(0.105232\pi\) | |||||||
\(318\) | 7.50310 | − | 5.18500i | 0.420753 | − | 0.290760i | ||||
\(319\) | −1.30336 | + | 2.70645i | −0.0729740 | + | 0.151532i | ||||
\(320\) | 25.4014 | + | 18.7328i | 1.41998 | + | 1.04720i | ||||
\(321\) | 13.5166 | + | 10.7791i | 0.754420 | + | 0.601630i | ||||
\(322\) | −4.70518 | + | 1.25543i | −0.262209 | + | 0.0699624i | ||||
\(323\) | 4.89548 | − | 3.90401i | 0.272392 | − | 0.217225i | ||||
\(324\) | −1.02172 | − | 1.71933i | −0.0567624 | − | 0.0955181i | ||||
\(325\) | 43.9668i | 2.43884i | ||||||||
\(326\) | −4.53942 | − | 28.8824i | −0.251415 | − | 1.59965i | ||||
\(327\) | 0.396050 | + | 1.73521i | 0.0219016 | + | 0.0959573i | ||||
\(328\) | −0.950052 | + | 2.07199i | −0.0524578 | + | 0.114407i | ||||
\(329\) | 21.2576 | + | 2.55349i | 1.17197 | + | 0.140778i | ||||
\(330\) | 0.185873 | − | 2.70900i | 0.0102320 | − | 0.149125i | ||||
\(331\) | 14.2131 | − | 11.3346i | 0.781222 | − | 0.623004i | −0.149487 | − | 0.988764i | \(-0.547762\pi\) |
0.930709 | + | 0.365760i | \(0.119191\pi\) | |||||||
\(332\) | 9.16528 | + | 6.08121i | 0.503010 | + | 0.333750i | ||||
\(333\) | −2.12209 | − | 9.29749i | −0.116290 | − | 0.509499i | ||||
\(334\) | −11.1561 | + | 7.70936i | −0.610432 | + | 0.421838i | ||||
\(335\) | −5.06177 | + | 22.1771i | −0.276554 | + | 1.21166i | ||||
\(336\) | 9.26696 | − | 5.11111i | 0.505554 | − | 0.278834i | ||||
\(337\) | −6.91159 | − | 30.2816i | −0.376498 | − | 1.64955i | −0.708089 | − | 0.706123i | \(-0.750443\pi\) |
0.331591 | − | 0.943423i | \(-0.392415\pi\) | |||||||
\(338\) | −4.50366 | − | 4.12634i | −0.244967 | − | 0.224443i | ||||
\(339\) | 9.47945 | − | 11.8869i | 0.514853 | − | 0.645605i | ||||
\(340\) | 37.2480 | − | 12.0050i | 2.02005 | − | 0.651061i | ||||
\(341\) | 0.310119 | + | 0.643970i | 0.0167939 | + | 0.0348729i | ||||
\(342\) | 0.882952 | − | 1.55179i | 0.0477446 | − | 0.0839113i | ||||
\(343\) | −2.47881 | + | 18.3536i | −0.133843 | + | 0.991003i | ||||
\(344\) | 0.545490 | + | 28.8867i | 0.0294109 | + | 1.55747i | ||||
\(345\) | −4.62624 | + | 2.22788i | −0.249068 | + | 0.119945i | ||||
\(346\) | −18.1627 | + | 19.8235i | −0.976432 | + | 1.06572i | ||||
\(347\) | −22.8895 | − | 18.2538i | −1.22877 | − | 0.979914i | −0.999979 | − | 0.00643910i | \(-0.997950\pi\) |
−0.228794 | − | 0.973475i | \(-0.573478\pi\) | |||||||
\(348\) | −11.7495 | + | 3.78685i | −0.629839 | + | 0.202996i | ||||
\(349\) | 1.49584 | − | 0.341417i | 0.0800707 | − | 0.0182756i | −0.182298 | − | 0.983243i | \(-0.558354\pi\) |
0.262369 | + | 0.964968i | \(0.415496\pi\) | |||||||
\(350\) | −34.9685 | + | 18.4342i | −1.86915 | + | 0.985351i | ||||
\(351\) | −4.05728 | − | 0.926049i | −0.216562 | − | 0.0494288i | ||||
\(352\) | −2.73753 | + | 0.292015i | −0.145911 | + | 0.0155645i | ||||
\(353\) | −32.2813 | + | 7.36800i | −1.71816 | + | 0.392159i | −0.964287 | − | 0.264861i | \(-0.914674\pi\) |
−0.753874 | + | 0.657020i | \(0.771817\pi\) | |||||||
\(354\) | 0.107429 | − | 1.56572i | 0.00570980 | − | 0.0832171i | ||||
\(355\) | 9.88376 | + | 12.3938i | 0.524576 | + | 0.657797i | ||||
\(356\) | 15.7850 | − | 23.7903i | 0.836604 | − | 1.26088i | ||||
\(357\) | 1.56502 | − | 13.0286i | 0.0828294 | − | 0.689548i | ||||
\(358\) | 2.44080 | + | 3.53203i | 0.129000 | + | 0.186673i | ||||
\(359\) | 13.4995 | − | 3.08118i | 0.712477 | − | 0.162618i | 0.149105 | − | 0.988821i | \(-0.452361\pi\) |
0.563372 | + | 0.826203i | \(0.309504\pi\) | |||||||
\(360\) | 8.59138 | − | 7.12087i | 0.452805 | − | 0.375303i | ||||
\(361\) | −17.4062 | −0.916114 | ||||||||
\(362\) | −17.2680 | − | 9.82530i | −0.907586 | − | 0.516406i | ||||
\(363\) | −6.71071 | − | 8.41497i | −0.352221 | − | 0.441671i | ||||
\(364\) | 5.58800 | − | 21.3005i | 0.292891 | − | 1.11645i | ||||
\(365\) | −36.0358 | + | 45.1875i | −1.88620 | + | 2.36522i | ||||
\(366\) | 7.60409 | − | 3.03975i | 0.397472 | − | 0.158890i | ||||
\(367\) | −24.4659 | − | 11.7821i | −1.27711 | − | 0.615023i | −0.332463 | − | 0.943116i | \(-0.607880\pi\) |
−0.944645 | + | 0.328093i | \(0.893594\pi\) | |||||||
\(368\) | 3.04000 | + | 4.22623i | 0.158471 | + | 0.220307i | ||||
\(369\) | 0.630075 | + | 0.502468i | 0.0328004 | + | 0.0261574i | ||||
\(370\) | 49.4070 | − | 19.7506i | 2.56855 | − | 1.02678i | ||||
\(371\) | 16.1461 | − | 5.51692i | 0.838263 | − | 0.286424i | ||||
\(372\) | −1.03860 | + | 2.74752i | −0.0538491 | + | 0.142452i | ||||
\(373\) | 8.11851 | 0.420361 | 0.210180 | − | 0.977663i | \(-0.432595\pi\) | ||||
0.210180 | + | 0.977663i | \(0.432595\pi\) | |||||||
\(374\) | −1.68818 | + | 2.96698i | −0.0872935 | + | 0.153419i | ||||
\(375\) | −17.1647 | + | 13.6884i | −0.886382 | + | 0.706866i | ||||
\(376\) | −5.51362 | − | 22.2147i | −0.284343 | − | 1.14564i | ||||
\(377\) | −11.1451 | + | 23.1431i | −0.574004 | + | 1.19193i | ||||
\(378\) | −0.964599 | − | 3.61518i | −0.0496136 | − | 0.185945i | ||||
\(379\) | 1.47164 | + | 3.05588i | 0.0755928 | + | 0.156970i | 0.935340 | − | 0.353749i | \(-0.115093\pi\) |
−0.859747 | + | 0.510719i | \(0.829379\pi\) | |||||||
\(380\) | 9.31794 | + | 3.52232i | 0.478000 | + | 0.180691i | ||||
\(381\) | −1.49548 | − | 3.10540i | −0.0766157 | − | 0.159094i | ||||
\(382\) | 5.36502 | − | 17.7897i | 0.274498 | − | 0.910201i | ||||
\(383\) | 2.98516 | + | 1.43758i | 0.152534 | + | 0.0734567i | 0.508594 | − | 0.861007i | \(-0.330166\pi\) |
−0.356059 | + | 0.934463i | \(0.615880\pi\) | |||||||
\(384\) | −8.62441 | − | 7.32254i | −0.440112 | − | 0.373677i | ||||
\(385\) | 1.71300 | − | 4.78245i | 0.0873027 | − | 0.243736i | ||||
\(386\) | 7.40584 | + | 2.23345i | 0.376948 | + | 0.113680i | ||||
\(387\) | 9.95871 | + | 2.27301i | 0.506230 | + | 0.115544i | ||||
\(388\) | −0.982079 | + | 7.12293i | −0.0498575 | + | 0.361612i | ||||
\(389\) | −3.05499 | + | 13.3848i | −0.154894 | + | 0.678636i | 0.836526 | + | 0.547927i | \(0.184583\pi\) |
−0.991421 | + | 0.130710i | \(0.958274\pi\) | |||||||
\(390\) | 1.58942 | − | 23.1649i | 0.0804834 | − | 1.17300i | ||||
\(391\) | 6.45515 | 0.326451 | ||||||||
\(392\) | 19.2840 | − | 4.48641i | 0.973988 | − | 0.226598i | ||||
\(393\) | −0.988893 | −0.0498831 | ||||||||
\(394\) | 0.524734 | − | 7.64770i | 0.0264357 | − | 0.385286i | ||||
\(395\) | 15.1852 | − | 66.5307i | 0.764051 | − | 3.34752i | ||||
\(396\) | −0.132944 | + | 0.964233i | −0.00668071 | + | 0.0484545i | ||||
\(397\) | −13.8667 | − | 3.16498i | −0.695949 | − | 0.158846i | −0.140110 | − | 0.990136i | \(-0.544746\pi\) |
−0.555839 | + | 0.831290i | \(0.687603\pi\) | |||||||
\(398\) | 25.5307 | + | 7.69955i | 1.27974 | + | 0.385943i | ||||
\(399\) | 2.37916 | − | 2.34445i | 0.119107 | − | 0.117369i | ||||
\(400\) | 31.6920 | + | 27.9547i | 1.58460 | + | 1.39774i | ||||
\(401\) | −1.13160 | − | 0.544952i | −0.0565096 | − | 0.0272136i | 0.405416 | − | 0.914133i | \(-0.367127\pi\) |
−0.461925 | + | 0.886919i | \(0.652841\pi\) | |||||||
\(402\) | 2.35437 | − | 7.80678i | 0.117425 | − | 0.389367i | ||||
\(403\) | 2.65186 | + | 5.50665i | 0.132099 | + | 0.274306i | ||||
\(404\) | 17.6579 | + | 6.67496i | 0.878514 | + | 0.332092i | ||||
\(405\) | −1.71177 | − | 3.55453i | −0.0850585 | − | 0.176626i | ||||
\(406\) | −23.0795 | + | 0.839194i | −1.14542 | + | 0.0416485i | ||||
\(407\) | −2.01376 | + | 4.18162i | −0.0998184 | + | 0.207275i | ||||
\(408\) | −13.6152 | + | 3.37926i | −0.674054 | + | 0.167298i | ||||
\(409\) | 3.43363 | − | 2.73823i | 0.169782 | − | 0.135397i | −0.534912 | − | 0.844908i | \(-0.679655\pi\) |
0.704695 | + | 0.709511i | \(0.251084\pi\) | |||||||
\(410\) | −2.22365 | + | 3.90808i | −0.109818 | + | 0.193006i | ||||
\(411\) | 18.2225 | 0.898849 | ||||||||
\(412\) | −9.95341 | + | 26.3307i | −0.490369 | + | 1.29722i | ||||
\(413\) | 0.990065 | − | 2.76412i | 0.0487179 | − | 0.136013i | ||||
\(414\) | 1.70911 | − | 0.683219i | 0.0839980 | − | 0.0335784i | ||||
\(415\) | 16.9636 | + | 13.5280i | 0.832711 | + | 0.664065i | ||||
\(416\) | −23.4089 | + | 2.49705i | −1.14772 | + | 0.122428i | ||||
\(417\) | −10.9152 | − | 5.25648i | −0.534519 | − | 0.257411i | ||||
\(418\) | −0.806837 | + | 0.322535i | −0.0394637 | + | 0.0157757i | ||||
\(419\) | 10.1665 | − | 12.7483i | 0.496664 | − | 0.622797i | −0.468809 | − | 0.883300i | \(-0.655317\pi\) |
0.965473 | + | 0.260502i | \(0.0838882\pi\) | |||||||
\(420\) | 19.0903 | − | 8.44835i | 0.931512 | − | 0.412237i | ||||
\(421\) | −3.44855 | − | 4.32435i | −0.168072 | − | 0.210756i | 0.690661 | − | 0.723178i | \(-0.257320\pi\) |
−0.858733 | + | 0.512423i | \(0.828748\pi\) | |||||||
\(422\) | 28.5196 | + | 16.2273i | 1.38831 | + | 0.789935i | ||||
\(423\) | −8.09238 | −0.393465 | ||||||||
\(424\) | −11.6401 | − | 14.0439i | −0.565294 | − | 0.682031i | ||||
\(425\) | 51.0852 | − | 11.6599i | 2.47800 | − | 0.565587i | ||||
\(426\) | −3.23053 | − | 4.67482i | −0.156519 | − | 0.226496i | ||||
\(427\) | 15.2364 | − | 1.60343i | 0.737340 | − | 0.0775954i | ||||
\(428\) | 19.1166 | − | 28.8115i | 0.924034 | − | 1.39265i | ||||
\(429\) | 1.26280 | + | 1.58350i | 0.0609684 | + | 0.0764520i | ||||
\(430\) | −3.90127 | + | 56.8588i | −0.188136 | + | 2.74197i | ||||
\(431\) | −26.8429 | + | 6.12673i | −1.29298 | + | 0.295114i | −0.813050 | − | 0.582193i | \(-0.802195\pi\) |
−0.479929 | + | 0.877307i | \(0.659338\pi\) | |||||||
\(432\) | −3.24719 | + | 2.33576i | −0.156230 | + | 0.112379i | ||||
\(433\) | 9.19233 | + | 2.09809i | 0.441755 | + | 0.100828i | 0.437613 | − | 0.899164i | \(-0.355824\pi\) |
0.00414277 | + | 0.999991i | \(0.498681\pi\) | |||||||
\(434\) | −3.26778 | + | 4.41793i | −0.156859 | + | 0.212067i | ||||
\(435\) | −23.7407 | + | 5.41866i | −1.13828 | + | 0.259805i | ||||
\(436\) | 3.38804 | − | 1.09196i | 0.162258 | − | 0.0522956i | ||||
\(437\) | 1.28464 | + | 1.02446i | 0.0614525 | + | 0.0490067i | ||||
\(438\) | 13.9959 | − | 15.2758i | 0.668752 | − | 0.729904i | ||||
\(439\) | −21.0168 | + | 10.1212i | −1.00308 | + | 0.483057i | −0.861982 | − | 0.506939i | \(-0.830777\pi\) |
−0.141096 | + | 0.989996i | \(0.545063\pi\) | |||||||
\(440\) | −5.42976 | + | 0.102534i | −0.258854 | + | 0.00488814i | ||||
\(441\) | 0.102878 | − | 6.99924i | 0.00489897 | − | 0.333297i | ||||
\(442\) | −14.4358 | + | 25.3709i | −0.686639 | + | 1.20677i | ||||
\(443\) | 9.55931 | + | 19.8501i | 0.454176 | + | 0.943107i | 0.994801 | + | 0.101843i | \(0.0324738\pi\) |
−0.540624 | + | 0.841264i | \(0.681812\pi\) | |||||||
\(444\) | −18.1536 | + | 5.85089i | −0.861532 | + | 0.277671i | ||||
\(445\) | 35.1147 | − | 44.0324i | 1.66460 | − | 2.08734i | ||||
\(446\) | −16.3517 | − | 14.9817i | −0.774275 | − | 0.709406i | ||||
\(447\) | 1.59320 | + | 6.98026i | 0.0753557 | + | 0.330155i | ||||
\(448\) | −11.8008 | − | 17.5710i | −0.557535 | − | 0.830154i | ||||
\(449\) | 9.07246 | − | 39.7490i | 0.428156 | − | 1.87587i | −0.0519288 | − | 0.998651i | \(-0.516537\pi\) |
0.480085 | − | 0.877222i | \(-0.340606\pi\) | |||||||
\(450\) | 12.2915 | − | 8.49405i | 0.579429 | − | 0.400413i | ||||
\(451\) | −0.0872752 | − | 0.382378i | −0.00410963 | − | 0.0180055i | ||||
\(452\) | −25.3377 | − | 16.8117i | −1.19178 | − | 0.790755i | ||||
\(453\) | 14.3752 | − | 11.4638i | 0.675406 | − | 0.538619i | ||||
\(454\) | 0.514405 | − | 7.49715i | 0.0241422 | − | 0.351859i | ||||
\(455\) | 14.6481 | − | 40.8952i | 0.686711 | − | 1.91720i | ||||
\(456\) | −3.24586 | − | 1.48830i | −0.152001 | − | 0.0696959i | ||||
\(457\) | 5.51778 | + | 24.1750i | 0.258111 | + | 1.13086i | 0.923269 | + | 0.384155i | \(0.125507\pi\) |
−0.665158 | + | 0.746703i | \(0.731636\pi\) | |||||||
\(458\) | 4.80976 | + | 30.6025i | 0.224746 | + | 1.42996i | ||||
\(459\) | 4.95976i | 0.231502i | ||||||||
\(460\) | 5.24627 | + | 8.82828i | 0.244609 | + | 0.411621i | ||||
\(461\) | 22.7659 | − | 18.1552i | 1.06031 | − | 0.845572i | 0.0719082 | − | 0.997411i | \(-0.477091\pi\) |
0.988405 | + | 0.151840i | \(0.0485197\pi\) | |||||||
\(462\) | −0.729956 | + | 1.66827i | −0.0339606 | + | 0.0776151i | ||||
\(463\) | −16.0344 | − | 12.7870i | −0.745180 | − | 0.594262i | 0.175546 | − | 0.984471i | \(-0.443831\pi\) |
−0.920726 | + | 0.390210i | \(0.872402\pi\) | |||||||
\(464\) | 9.59570 | + | 22.7483i | 0.445469 | + | 1.05606i | ||||
\(465\) | −2.51397 | + | 5.22031i | −0.116583 | + | 0.242086i | ||||
\(466\) | −4.37113 | + | 3.02066i | −0.202489 | + | 0.139929i | ||||
\(467\) | 1.47883 | − | 1.85440i | 0.0684323 | − | 0.0858113i | −0.746437 | − | 0.665456i | \(-0.768237\pi\) |
0.814869 | + | 0.579645i | \(0.196809\pi\) | |||||||
\(468\) | −1.13682 | + | 8.24525i | −0.0525495 | + | 0.381137i | ||||
\(469\) | 8.21078 | − | 12.8567i | 0.379138 | − | 0.593666i | ||||
\(470\) | −7.01020 | − | 44.6030i | −0.323357 | − | 2.05738i | ||||
\(471\) | 2.30711i | 0.106306i | ||||||||
\(472\) | −3.13824 | + | 0.0592619i | −0.144449 | + | 0.00272775i | ||||
\(473\) | −3.09957 | − | 3.88673i | −0.142518 | − | 0.178712i | ||||
\(474\) | −7.06305 | + | 23.4202i | −0.324417 | + | 1.07572i | ||||
\(475\) | 12.0169 | + | 5.78705i | 0.551374 | + | 0.265528i | ||||
\(476\) | −26.2310 | − | 0.843905i | −1.20230 | − | 0.0386803i | ||||
\(477\) | −5.81040 | + | 2.79814i | −0.266040 | + | 0.128118i | ||||
\(478\) | −1.56024 | − | 9.92717i | −0.0713638 | − | 0.454058i | ||||
\(479\) | 4.95680 | − | 2.38707i | 0.226482 | − | 0.109068i | −0.317202 | − | 0.948358i | \(-0.602743\pi\) |
0.543684 | + | 0.839290i | \(0.317029\pi\) | |||||||
\(480\) | −15.6870 | − | 15.8742i | −0.716012 | − | 0.724556i | ||||
\(481\) | −17.2199 | + | 35.7574i | −0.785158 | + | 1.63040i | ||||
\(482\) | −7.76031 | + | 8.46992i | −0.353472 | + | 0.385794i | ||||
\(483\) | 3.42455 | − | 0.360389i | 0.155822 | − | 0.0163983i | ||||
\(484\) | −15.5943 | + | 14.8391i | −0.708834 | + | 0.674503i | ||||
\(485\) | −3.15617 | + | 13.8281i | −0.143314 | + | 0.627901i | ||||
\(486\) | 0.524946 | + | 1.31318i | 0.0238120 | + | 0.0595669i | ||||
\(487\) | −9.95959 | − | 2.27321i | −0.451312 | − | 0.103009i | −0.00917788 | − | 0.999958i | \(-0.502921\pi\) |
−0.442134 | + | 0.896949i | \(0.645779\pi\) | |||||||
\(488\) | −7.38362 | − | 14.6195i | −0.334241 | − | 0.661796i | ||||
\(489\) | 20.6737i | 0.934896i | ||||||||
\(490\) | 38.6671 | − | 5.49621i | 1.74680 | − | 0.248294i | ||||
\(491\) | − | 27.1990i | − | 1.22747i | −0.789510 | − | 0.613737i | \(-0.789665\pi\) | ||
0.789510 | − | 0.613737i | \(-0.210335\pi\) | |||||||
\(492\) | 0.891120 | − | 1.34305i | 0.0401748 | − | 0.0605493i | ||||
\(493\) | 29.8457 | + | 6.81209i | 1.34418 | + | 0.306801i | ||||
\(494\) | −6.89934 | + | 2.75803i | −0.310416 | + | 0.124089i | ||||
\(495\) | −0.427252 | + | 1.87191i | −0.0192036 | + | 0.0841363i | ||||
\(496\) | 5.65537 | + | 1.58970i | 0.253933 | + | 0.0713795i | ||||
\(497\) | −3.43733 | − | 10.0599i | −0.154185 | − | 0.451246i | ||||
\(498\) | −5.73460 | − | 5.25415i | −0.256973 | − | 0.235444i | ||||
\(499\) | 17.7260 | − | 36.8083i | 0.793523 | − | 1.64777i | 0.0321234 | − | 0.999484i | \(-0.489773\pi\) |
0.761399 | − | 0.648283i | \(-0.224513\pi\) | |||||||
\(500\) | 30.2685 | + | 31.8091i | 1.35365 | + | 1.42255i | ||||
\(501\) | 8.63925 | − | 4.16044i | 0.385973 | − | 0.185875i | ||||
\(502\) | −2.82192 | + | 0.443518i | −0.125948 | + | 0.0197952i | ||||
\(503\) | 16.8855 | − | 8.13161i | 0.752885 | − | 0.362570i | −0.0177537 | − | 0.999842i | \(-0.505651\pi\) |
0.770639 | + | 0.637272i | \(0.219937\pi\) | |||||||
\(504\) | −7.03440 | + | 2.55288i | −0.313337 | + | 0.113714i | ||||
\(505\) | 33.5502 | + | 16.1569i | 1.49296 | + | 0.718973i | ||||
\(506\) | −0.857629 | − | 0.258644i | −0.0381263 | − | 0.0114981i | ||||
\(507\) | 2.69293 | + | 3.37682i | 0.119597 | + | 0.149970i | ||||
\(508\) | −5.92605 | + | 3.52160i | −0.262926 | + | 0.156246i | ||||
\(509\) | 12.8302i | 0.568688i | 0.958722 | + | 0.284344i | \(0.0917757\pi\) | ||||
−0.958722 | + | 0.284344i | \(0.908224\pi\) | |||||||
\(510\) | −27.3369 | + | 4.29650i | −1.21050 | + | 0.190252i | ||||
\(511\) | 32.9695 | − | 20.3797i | 1.45849 | − | 0.901546i | ||||
\(512\) | −13.0838 | + | 18.4612i | −0.578227 | + | 0.815876i | ||||
\(513\) | −0.787138 | + | 0.987039i | −0.0347530 | + | 0.0435788i | ||||
\(514\) | −5.67279 | − | 8.20897i | −0.250216 | − | 0.362082i | ||||
\(515\) | −24.0925 | + | 50.0285i | −1.06164 | + | 2.20452i | ||||
\(516\) | 2.79035 | − | 20.2382i | 0.122838 | − | 0.890936i | ||||
\(517\) | 3.07915 | + | 2.45554i | 0.135421 | + | 0.107994i | ||||
\(518\) | −35.6591 | + | 1.29660i | −1.56677 | + | 0.0569694i | ||||
\(519\) | 14.8636 | − | 11.8533i | 0.652439 | − | 0.520303i | ||||
\(520\) | −46.4304 | + | 0.876782i | −2.03611 | + | 0.0384494i | ||||
\(521\) | − | 21.6112i | − | 0.946802i | −0.880847 | − | 0.473401i | \(-0.843026\pi\) | ||
0.880847 | − | 0.473401i | \(-0.156974\pi\) | |||||||
\(522\) | 8.62314 | − | 1.35529i | 0.377424 | − | 0.0593193i | ||||
\(523\) | −2.90380 | − | 12.7224i | −0.126974 | − | 0.556310i | −0.997893 | − | 0.0648831i | \(-0.979333\pi\) |
0.870919 | − | 0.491427i | \(-0.163525\pi\) | |||||||
\(524\) | 0.172614 | + | 1.97024i | 0.00754067 | + | 0.0860703i | ||||
\(525\) | 26.4505 | − | 9.03780i | 1.15439 | − | 0.394442i | ||||
\(526\) | 34.8352 | + | 2.39016i | 1.51889 | + | 0.104216i | ||||
\(527\) | 5.69493 | − | 4.54155i | 0.248075 | − | 0.197833i | ||||
\(528\) | 1.94431 | + | 0.0965648i | 0.0846154 | + | 0.00420244i | ||||
\(529\) | −4.74105 | − | 20.7719i | −0.206133 | − | 0.903126i | ||||
\(530\) | −20.4560 | − | 29.6014i | −0.888552 | − | 1.28580i | ||||
\(531\) | −0.246939 | + | 1.08191i | −0.0107162 | + | 0.0469509i | ||||
\(532\) | −5.08629 | − | 4.33093i | −0.220519 | − | 0.187770i | ||||
\(533\) | −0.746299 | − | 3.26975i | −0.0323258 | − | 0.141629i | ||||
\(534\) | −13.6382 | + | 14.8853i | −0.590183 | + | 0.644150i | ||||
\(535\) | 42.5260 | − | 53.3259i | 1.83856 | − | 2.30548i | ||||
\(536\) | −15.9649 | − | 3.32807i | −0.689580 | − | 0.143751i | ||||
\(537\) | −1.31720 | − | 2.73520i | −0.0568416 | − | 0.118033i | ||||
\(538\) | 9.59142 | + | 5.45741i | 0.413515 | + | 0.235286i | ||||
\(539\) | −2.16299 | + | 2.63199i | −0.0931664 | + | 0.113368i | ||||
\(540\) | −6.78313 | + | 4.03093i | −0.291900 | + | 0.173464i | ||||
\(541\) | −10.6254 | + | 5.11694i | −0.456823 | + | 0.219994i | −0.648121 | − | 0.761538i | \(-0.724445\pi\) |
0.191298 | + | 0.981532i | \(0.438730\pi\) | |||||||
\(542\) | −27.4318 | − | 25.1336i | −1.17830 | − | 1.07958i | ||||
\(543\) | 10.9836 | + | 8.75909i | 0.471349 | + | 0.375889i | ||||
\(544\) | 9.10930 | + | 26.5367i | 0.390558 | + | 1.13775i | ||||
\(545\) | 6.84580 | − | 1.56251i | 0.293242 | − | 0.0669305i | ||||
\(546\) | −6.24192 | + | 14.2656i | −0.267130 | + | 0.610509i | ||||
\(547\) | −4.06595 | − | 0.928027i | −0.173848 | − | 0.0396796i | 0.134711 | − | 0.990885i | \(-0.456989\pi\) |
−0.308558 | + | 0.951205i | \(0.599847\pi\) | |||||||
\(548\) | −3.18078 | − | 36.3059i | −0.135876 | − | 1.55091i | ||||
\(549\) | −5.64542 | + | 1.28853i | −0.240941 | + | 0.0549932i | ||||
\(550\) | −7.25435 | − | 0.497745i | −0.309327 | − | 0.0212239i | ||||
\(551\) | 4.85847 | + | 6.09233i | 0.206978 | + | 0.259542i | ||||
\(552\) | −1.65955 | − | 3.28591i | −0.0706353 | − | 0.139858i | ||||
\(553\) | −24.6322 | + | 38.5698i | −1.04747 | + | 1.64015i | ||||
\(554\) | −15.6946 | + | 10.8457i | −0.666798 | + | 0.460789i | ||||
\(555\) | −36.6807 | + | 8.37213i | −1.55701 | + | 0.355377i | ||||
\(556\) | −8.56757 | + | 22.6646i | −0.363346 | + | 0.961194i | ||||
\(557\) | −4.99764 | −0.211757 | −0.105878 | − | 0.994379i | \(-0.533765\pi\) | ||||
−0.105878 | + | 0.994379i | \(0.533765\pi\) | |||||||
\(558\) | 1.02714 | − | 1.80521i | 0.0434824 | − | 0.0764205i | ||||
\(559\) | −26.5047 | − | 33.2358i | −1.12103 | − | 1.40573i | ||||
\(560\) | −20.1645 | − | 36.5603i | −0.852105 | − | 1.54495i | ||||
\(561\) | 1.50498 | − | 1.88719i | 0.0635404 | − | 0.0796771i | ||||
\(562\) | 1.56894 | + | 3.92479i | 0.0661819 | + | 0.165557i | ||||
\(563\) | 23.1339 | + | 11.1407i | 0.974980 | + | 0.469525i | 0.852376 | − | 0.522930i | \(-0.175161\pi\) |
0.122604 | + | 0.992456i | \(0.460875\pi\) | |||||||
\(564\) | 1.41255 | + | 16.1230i | 0.0594789 | + | 0.678901i | ||||
\(565\) | −46.8964 | − | 37.3986i | −1.97294 | − | 1.57337i | ||||
\(566\) | −6.51111 | − | 16.2878i | −0.273682 | − | 0.684629i | ||||
\(567\) | 0.276902 | + | 2.63122i | 0.0116288 | + | 0.110501i | ||||
\(568\) | −8.75007 | + | 7.25240i | −0.367145 | + | 0.304304i | ||||
\(569\) | 41.5754 | 1.74293 | 0.871465 | − | 0.490458i | \(-0.163170\pi\) | ||||
0.871465 | + | 0.490458i | \(0.163170\pi\) | |||||||
\(570\) | −6.12217 | − | 3.48345i | −0.256430 | − | 0.145906i | ||||
\(571\) | 21.8240 | − | 17.4040i | 0.913305 | − | 0.728337i | −0.0494312 | − | 0.998778i | \(-0.515741\pi\) |
0.962737 | + | 0.270441i | \(0.0871694\pi\) | |||||||
\(572\) | 2.93449 | − | 2.79236i | 0.122697 | − | 0.116754i | ||||
\(573\) | −5.70072 | + | 11.8377i | −0.238151 | + | 0.494526i | ||||
\(574\) | 2.28765 | − | 1.96449i | 0.0954847 | − | 0.0819961i | ||||
\(575\) | 5.96598 | + | 12.3885i | 0.248798 | + | 0.516635i | ||||
\(576\) | 5.22050 | + | 6.06188i | 0.217521 | + | 0.252578i | ||||
\(577\) | −10.9482 | − | 22.7343i | −0.455781 | − | 0.946439i | −0.994577 | − | 0.104003i | \(-0.966835\pi\) |
0.538796 | − | 0.842436i | \(-0.318879\pi\) | |||||||
\(578\) | 10.2892 | + | 3.10301i | 0.427974 | + | 0.129068i | ||||
\(579\) | −4.92801 | − | 2.37321i | −0.204801 | − | 0.0986271i | ||||
\(580\) | 14.9400 | + | 46.3544i | 0.620349 | + | 1.92476i | ||||
\(581\) | −7.65066 | − | 12.3769i | −0.317403 | − | 0.513482i | ||||
\(582\) | 1.46802 | − | 4.86777i | 0.0608514 | − | 0.201776i | ||||
\(583\) | 3.05992 | + | 0.698407i | 0.126729 | + | 0.0289251i | ||||
\(584\) | −32.8780 | − | 25.2187i | −1.36050 | − | 1.04356i | ||||
\(585\) | −3.65347 | + | 16.0069i | −0.151053 | + | 0.661804i | ||||
\(586\) | −9.79494 | − | 0.672064i | −0.404625 | − | 0.0277627i | ||||
\(587\) | −39.8734 | −1.64575 | −0.822875 | − | 0.568223i | \(-0.807631\pi\) | ||||
−0.822875 | + | 0.568223i | \(0.807631\pi\) | |||||||
\(588\) | −13.9630 | + | 1.01676i | −0.575826 | + | 0.0419307i | ||||
\(589\) | 1.85411 | 0.0763973 | ||||||||
\(590\) | −6.17712 | − | 0.423833i | −0.254308 | − | 0.0174489i | ||||
\(591\) | −1.20616 | + | 5.28455i | −0.0496150 | + | 0.217378i | ||||
\(592\) | 14.8259 | + | 35.1474i | 0.609340 | + | 1.44455i | ||||
\(593\) | 7.31927 | + | 1.67058i | 0.300566 | + | 0.0686023i | 0.370144 | − | 0.928974i | \(-0.379308\pi\) |
−0.0695781 | + | 0.997577i | \(0.522165\pi\) | |||||||
\(594\) | 0.198727 | − | 0.658952i | 0.00815385 | − | 0.0270371i | ||||
\(595\) | −51.4009 | − | 6.17434i | −2.10723 | − | 0.253123i | ||||
\(596\) | 13.6291 | − | 4.39266i | 0.558271 | − | 0.179930i | ||||
\(597\) | −16.9887 | − | 8.18133i | −0.695301 | − | 0.334840i | ||||
\(598\) | −7.33367 | − | 2.21169i | −0.299896 | − | 0.0904426i | ||||
\(599\) | 6.77195 | + | 14.0621i | 0.276694 | + | 0.574562i | 0.992288 | − | 0.123955i | \(-0.0395579\pi\) |
−0.715593 | + | 0.698517i | \(0.753844\pi\) | |||||||
\(600\) | −19.0688 | − | 23.0066i | −0.778480 | − | 0.939242i | ||||
\(601\) | 5.39703 | + | 11.2070i | 0.220149 | + | 0.457145i | 0.981567 | − | 0.191116i | \(-0.0612107\pi\) |
−0.761418 | + | 0.648261i | \(0.775496\pi\) | |||||||
\(602\) | 15.3210 | − | 35.0152i | 0.624435 | − | 1.42711i | ||||
\(603\) | −2.50168 | + | 5.19480i | −0.101876 | + | 0.211549i | ||||
\(604\) | −25.3494 | − | 26.6397i | −1.03145 | − | 1.08395i | ||||
\(605\) | −33.1990 | + | 26.4753i | −1.34973 | + | 1.07637i | ||||
\(606\) | −11.6018 | − | 6.60129i | −0.471291 | − | 0.268159i | ||||
\(607\) | 3.42482 | 0.139009 | 0.0695047 | − | 0.997582i | \(-0.477858\pi\) | ||||
0.0695047 | + | 0.997582i | \(0.477858\pi\) | |||||||
\(608\) | −2.39866 | + | 6.72674i | −0.0972786 | + | 0.272805i | ||||
\(609\) | 16.2139 | + | 1.94763i | 0.657020 | + | 0.0789221i | ||||
\(610\) | −11.9925 | − | 29.9999i | −0.485563 | − | 1.21466i | ||||
\(611\) | 26.3301 | + | 20.9975i | 1.06520 | + | 0.849470i | ||||
\(612\) | 9.88167 | − | 0.865739i | 0.399443 | − | 0.0349954i | ||||
\(613\) | −4.55139 | − | 2.19183i | −0.183829 | − | 0.0885274i | 0.339706 | − | 0.940532i | \(-0.389673\pi\) |
−0.523534 | + | 0.852004i | \(0.675387\pi\) | |||||||
\(614\) | −5.75763 | − | 14.4030i | −0.232359 | − | 0.581257i | ||||
\(615\) | 1.98235 | − | 2.48579i | 0.0799361 | − | 0.100237i | ||||
\(616\) | 3.45123 | + | 1.16314i | 0.139054 | + | 0.0468642i | ||||
\(617\) | 1.35133 | + | 1.69452i | 0.0544025 | + | 0.0682186i | 0.808288 | − | 0.588787i | \(-0.200394\pi\) |
−0.753886 | + | 0.657005i | \(0.771823\pi\) | |||||||
\(618\) | 9.84355 | − | 17.3001i | 0.395966 | − | 0.695912i | ||||
\(619\) | −45.4088 | −1.82513 | −0.912566 | − | 0.408930i | \(-0.865902\pi\) | ||||
−0.912566 | + | 0.408930i | \(0.865902\pi\) | |||||||
\(620\) | 10.8396 | + | 4.09753i | 0.435329 | + | 0.164561i | ||||
\(621\) | −1.26887 | + | 0.289612i | −0.0509181 | + | 0.0116217i | ||||
\(622\) | 8.41443 | − | 5.81477i | 0.337388 | − | 0.233151i | ||||
\(623\) | −32.1268 | + | 19.8588i | −1.28713 | + | 0.795627i | ||||
\(624\) | 16.6260 | + | 0.825734i | 0.665573 | + | 0.0330558i | ||||
\(625\) | 21.0686 | + | 26.4192i | 0.842743 | + | 1.05677i | ||||
\(626\) | 10.9672 | + | 0.752498i | 0.438338 | + | 0.0300759i | ||||
\(627\) | 0.599011 | − | 0.136720i | 0.0239222 | − | 0.00546009i | ||||
\(628\) | 4.59660 | − | 0.402711i | 0.183424 | − | 0.0160699i | ||||
\(629\) | 46.1133 | + | 10.5251i | 1.83866 | + | 0.419662i | ||||
\(630\) | −14.2627 | + | 3.80556i | −0.568240 | + | 0.151617i | ||||
\(631\) | 22.9974 | − | 5.24901i | 0.915512 | − | 0.208960i | 0.261288 | − | 0.965261i | \(-0.415853\pi\) |
0.654224 | + | 0.756301i | \(0.272995\pi\) | |||||||
\(632\) | 47.8945 | + | 9.98415i | 1.90514 | + | 0.397148i | ||||
\(633\) | −18.1403 | − | 14.4664i | −0.721012 | − | 0.574988i | ||||
\(634\) | 12.4736 | + | 11.4285i | 0.495388 | + | 0.453885i | ||||
\(635\) | −12.2515 | + | 5.90001i | −0.486186 | + | 0.234135i | ||||
\(636\) | 6.58915 | + | 11.0880i | 0.261277 | + | 0.439669i | ||||
\(637\) | −18.4959 | + | 22.5064i | −0.732834 | + | 0.891737i | ||||
\(638\) | −3.69235 | − | 2.10090i | −0.146181 | − | 0.0831756i | ||||
\(639\) | 1.74339 | + | 3.62018i | 0.0689674 | + | 0.143212i | ||||
\(640\) | −28.8891 | + | 34.0253i | −1.14194 | + | 1.34497i | ||||
\(641\) | 9.17682 | − | 11.5074i | 0.362463 | − | 0.454514i | −0.566843 | − | 0.823826i | \(-0.691835\pi\) |
0.929305 | + | 0.369312i | \(0.120407\pi\) | |||||||
\(642\) | −16.5167 | + | 18.0270i | −0.651861 | + | 0.711468i | ||||
\(643\) | 4.95656 | + | 21.7161i | 0.195468 | + | 0.856400i | 0.973593 | + | 0.228291i | \(0.0733137\pi\) |
−0.778125 | + | 0.628109i | \(0.783829\pi\) | |||||||
\(644\) | −1.31579 | − | 6.76005i | −0.0518495 | − | 0.266383i | ||||
\(645\) | 8.96754 | − | 39.2894i | 0.353097 | − | 1.54702i | ||||
\(646\) | 5.03424 | + | 7.28494i | 0.198070 | + | 0.286622i | ||||
\(647\) | 9.27536 | + | 40.6380i | 0.364652 | + | 1.59765i | 0.741224 | + | 0.671258i | \(0.234246\pi\) |
−0.376572 | + | 0.926387i | \(0.622897\pi\) | |||||||
\(648\) | 2.52470 | − | 1.27510i | 0.0991796 | − | 0.0500908i | ||||
\(649\) | 0.422254 | − | 0.336736i | 0.0165749 | − | 0.0132180i | ||||
\(650\) | −62.0326 | − | 4.25627i | −2.43312 | − | 0.166945i | ||||
\(651\) | 2.76768 | − | 2.72730i | 0.108474 | − | 0.106891i | ||||
\(652\) | 41.1896 | − | 3.60865i | 1.61311 | − | 0.141325i | ||||
\(653\) | −0.444252 | − | 1.94640i | −0.0173849 | − | 0.0761683i | 0.965491 | − | 0.260435i | \(-0.0838661\pi\) |
−0.982876 | + | 0.184267i | \(0.941009\pi\) | |||||||
\(654\) | −2.48654 | + | 0.390807i | −0.0972314 | + | 0.0152817i | ||||
\(655\) | 3.90141i | 0.152441i | ||||||||
\(656\) | −2.83139 | − | 1.54101i | −0.110547 | − | 0.0601662i | ||||
\(657\) | −11.4537 | + | 9.13402i | −0.446851 | + | 0.356352i | ||||
\(658\) | −5.66058 | + | 29.7451i | −0.220672 | + | 1.15958i | ||||
\(659\) | 0.189703 | + | 0.151283i | 0.00738980 | + | 0.00589317i | 0.627178 | − | 0.778876i | \(-0.284210\pi\) |
−0.619788 | + | 0.784769i | \(0.712781\pi\) | |||||||
\(660\) | 3.80412 | + | 0.524496i | 0.148075 | + | 0.0204160i | ||||
\(661\) | 6.24063 | − | 12.9588i | 0.242732 | − | 0.504039i | −0.743637 | − | 0.668583i | \(-0.766901\pi\) |
0.986370 | + | 0.164544i | \(0.0526154\pi\) | |||||||
\(662\) | 14.6160 | + | 21.1505i | 0.568066 | + | 0.822036i | ||||
\(663\) | 12.8692 | − | 16.1375i | 0.499800 | − | 0.626729i | ||||
\(664\) | −9.46722 | + | 12.3426i | −0.367399 | + | 0.478984i | ||||
\(665\) | −9.24937 | − | 9.38632i | −0.358675 | − | 0.363986i | ||||
\(666\) | 13.3232 | − | 2.09399i | 0.516264 | − | 0.0811407i | ||||
\(667\) | 8.03332i | 0.311051i | ||||||||
\(668\) | −9.79714 | − | 16.4863i | −0.379063 | − | 0.637876i | ||||
\(669\) | 9.77737 | + | 12.2604i | 0.378015 | + | 0.474016i | ||||
\(670\) | −30.7995 | − | 9.28851i | −1.18989 | − | 0.358846i | ||||
\(671\) | 2.53907 | + | 1.22275i | 0.0980198 | + | 0.0472039i | ||||
\(672\) | 6.31414 | + | 13.5695i | 0.243573 | + | 0.523455i | ||||
\(673\) | −17.6721 | + | 8.51045i | −0.681211 | + | 0.328054i | −0.742290 | − | 0.670079i | \(-0.766260\pi\) |
0.0610789 | + | 0.998133i | \(0.480546\pi\) | |||||||
\(674\) | 43.3933 | − | 6.82008i | 1.67145 | − | 0.262700i | ||||
\(675\) | −9.51858 | + | 4.58391i | −0.366370 | + | 0.176435i | ||||
\(676\) | 6.25782 | − | 5.95474i | 0.240685 | − | 0.229028i | ||||
\(677\) | 12.5278 | − | 26.0143i | 0.481484 | − | 0.999811i | −0.508818 | − | 0.860874i | \(-0.669917\pi\) |
0.990301 | − | 0.138937i | \(-0.0443685\pi\) | |||||||
\(678\) | 15.8534 | + | 14.5252i | 0.608848 | + | 0.557839i | ||||
\(679\) | 5.11968 | − | 8.01654i | 0.196475 | − | 0.307646i | ||||
\(680\) | 13.3319 | + | 53.7152i | 0.511257 | + | 2.05988i | ||||
\(681\) | −1.18242 | + | 5.18052i | −0.0453105 | + | 0.198518i | ||||
\(682\) | −0.938596 | + | 0.375206i | −0.0359407 | + | 0.0143674i | ||||
\(683\) | 36.7231 | + | 8.38181i | 1.40517 | + | 0.320721i | 0.856858 | − | 0.515552i | \(-0.172413\pi\) |
0.548313 | + | 0.836273i | \(0.315270\pi\) | |||||||
\(684\) | 2.10394 | + | 1.39598i | 0.0804463 | + | 0.0533765i | ||||
\(685\) | − | 71.8919i | − | 2.74685i | ||||||
\(686\) | −25.6551 | − | 5.27409i | −0.979516 | − | 0.201366i | ||||
\(687\) | − | 21.9049i | − | 0.835724i | ||||||
\(688\) | −40.8090 | − | 2.02679i | −1.55583 | − | 0.0772705i | ||||
\(689\) | 26.1657 | + | 5.97214i | 0.996832 | + | 0.227520i | ||||
\(690\) | −2.69546 | − | 6.74281i | −0.102614 | − | 0.256694i | ||||
\(691\) | 10.6364 | − | 46.6012i | 0.404629 | − | 1.77279i | −0.203622 | − | 0.979050i | \(-0.565271\pi\) |
0.608251 | − | 0.793745i | \(-0.291871\pi\) | |||||||
\(692\) | −26.2106 | − | 27.5447i | −0.996379 | − | 1.04709i | ||||
\(693\) | 0.693053 | − | 1.08520i | 0.0263269 | − | 0.0412234i | ||||
\(694\) | 27.9700 | − | 30.5276i | 1.06173 | − | 1.15881i | ||||
\(695\) | −20.7380 | + | 43.0629i | −0.786637 | + | 1.63347i | ||||
\(696\) | −4.20542 | − | 16.9439i | −0.159406 | − | 0.642257i | ||||
\(697\) | −3.60122 | + | 1.73426i | −0.136406 | + | 0.0656896i | ||||
\(698\) | 0.336896 | + | 2.14353i | 0.0127517 | + | 0.0811339i | ||||
\(699\) | 3.38500 | − | 1.63013i | 0.128033 | − | 0.0616572i | ||||
\(700\) | −22.6236 | − | 51.1215i | −0.855092 | − | 1.93221i | ||||
\(701\) | 15.9593 | + | 7.68557i | 0.602773 | + | 0.290280i | 0.710275 | − | 0.703925i | \(-0.248571\pi\) |
−0.107502 | + | 0.994205i | \(0.534285\pi\) | |||||||
\(702\) | 1.69933 | − | 5.63476i | 0.0641371 | − | 0.212670i | ||||
\(703\) | 7.50661 | + | 9.41299i | 0.283117 | + | 0.355018i | ||||
\(704\) | −0.146993 | − | 3.89064i | −0.00553999 | − | 0.146634i | ||||
\(705\) | 31.9263i | 1.20241i | ||||||||
\(706\) | −7.27044 | − | 46.2588i | −0.273627 | − | 1.74097i | ||||
\(707\) | −17.5280 | − | 17.7875i | −0.659207 | − | 0.668968i | ||||
\(708\) | 2.19867 | + | 0.303143i | 0.0826310 | + | 0.0113928i | ||||
\(709\) | −4.07602 | + | 5.11117i | −0.153078 | + | 0.191954i | −0.852457 | − | 0.522797i | \(-0.824889\pi\) |
0.699379 | + | 0.714751i | \(0.253460\pi\) | |||||||
\(710\) | −18.4432 | + | 12.7452i | −0.692163 | + | 0.478317i | ||||
\(711\) | 7.50501 | − | 15.5843i | 0.281460 | − | 0.584457i | ||||
\(712\) | 32.0376 | + | 24.5741i | 1.20066 | + | 0.920952i | ||||
\(713\) | 1.49442 | + | 1.19176i | 0.0559666 | + | 0.0446318i | ||||
\(714\) | 18.2305 | + | 3.46933i | 0.682261 | + | 0.129836i | ||||
\(715\) | 6.24726 | − | 4.98202i | 0.233634 | − | 0.186317i | ||||
\(716\) | −5.21961 | + | 3.10179i | −0.195066 | + | 0.115919i | ||||
\(717\) | 7.10574i | 0.265369i | ||||||||
\(718\) | 3.04038 | + | 19.3447i | 0.113466 | + | 0.721938i | ||||
\(719\) | −3.52189 | − | 15.4304i | −0.131344 | − | 0.575458i | −0.997175 | − | 0.0751195i | \(-0.976066\pi\) |
0.865830 | − | 0.500338i | \(-0.166791\pi\) | |||||||
\(720\) | 9.21511 | + | 12.8109i | 0.343427 | + | 0.477434i | ||||
\(721\) | 26.5239 | − | 26.1370i | 0.987803 | − | 0.973391i | ||||
\(722\) | 1.68503 | − | 24.5583i | 0.0627102 | − | 0.913965i | ||||
\(723\) | 6.35072 | − | 5.06453i | 0.236186 | − | 0.188352i | ||||
\(724\) | 15.5341 | − | 23.4122i | 0.577321 | − | 0.870108i | ||||
\(725\) | 14.5105 | + | 63.5746i | 0.538906 | + | 2.36110i | ||||
\(726\) | 12.5223 | − | 8.65350i | 0.464746 | − | 0.321161i | ||||
\(727\) | −4.18546 | + | 18.3377i | −0.155230 | + | 0.680108i | 0.836085 | + | 0.548600i | \(0.184839\pi\) |
−0.991315 | + | 0.131508i | \(0.958018\pi\) | |||||||
\(728\) | 29.5118 | + | 9.94611i | 1.09378 | + | 0.368627i | ||||
\(729\) | −0.222521 | − | 0.974928i | −0.00824152 | − | 0.0361084i | ||||
\(730\) | −60.2663 | − | 55.2172i | −2.23056 | − | 2.04368i | ||||
\(731\) | −31.5879 | + | 39.6100i | −1.16832 | + | 1.46503i | ||||
\(732\) | 3.55265 | + | 11.0228i | 0.131310 | + | 0.407416i | ||||
\(733\) | −3.82154 | − | 7.93551i | −0.141152 | − | 0.293105i | 0.818394 | − | 0.574658i | \(-0.194865\pi\) |
−0.959546 | + | 0.281553i | \(0.909150\pi\) | |||||||
\(734\) | 18.9918 | − | 33.3782i | 0.701002 | − | 1.23201i | ||||
\(735\) | −27.6136 | − | 0.405879i | −1.01854 | − | 0.0149711i | ||||
\(736\) | −6.25706 | + | 3.88001i | −0.230638 | + | 0.143019i | ||||
\(737\) | 2.52819 | − | 1.21751i | 0.0931272 | − | 0.0448477i | ||||
\(738\) | −0.769925 | + | 0.840328i | −0.0283413 | + | 0.0309329i | ||||
\(739\) | 8.42770 | + | 6.72086i | 0.310018 | + | 0.247231i | 0.766122 | − | 0.642696i | \(-0.222184\pi\) |
−0.456104 | + | 0.889927i | \(0.650755\pi\) | |||||||
\(740\) | 23.0831 | + | 71.6201i | 0.848551 | + | 2.63281i | ||||
\(741\) | 5.12220 | − | 1.16911i | 0.188169 | − | 0.0429483i | ||||
\(742\) | 6.22076 | + | 23.3145i | 0.228371 | + | 0.855903i | ||||
\(743\) | −36.8536 | − | 8.41160i | −1.35203 | − | 0.308592i | −0.515676 | − | 0.856784i | \(-0.672459\pi\) |
−0.836352 | + | 0.548192i | \(0.815316\pi\) | |||||||
\(744\) | −3.77592 | − | 1.73134i | −0.138432 | − | 0.0634740i | ||||
\(745\) | 27.5387 | − | 6.28553i | 1.00894 | − | 0.230284i | ||||
\(746\) | −0.785923 | + | 11.4544i | −0.0287747 | + | 0.419375i | ||||
\(747\) | 3.42896 | + | 4.29978i | 0.125459 | + | 0.157321i | ||||
\(748\) | −4.02267 | − | 2.66906i | −0.147083 | − | 0.0975907i | ||||
\(749\) | −38.9075 | + | 24.0502i | −1.42165 | + | 0.878775i | ||||
\(750\) | −17.6513 | − | 25.5428i | −0.644533 | − | 0.932690i | ||||
\(751\) | −5.22211 | + | 1.19191i | −0.190558 | + | 0.0434935i | −0.316735 | − | 0.948514i | \(-0.602586\pi\) |
0.126177 | + | 0.992008i | \(0.459729\pi\) | |||||||
\(752\) | 31.8764 | − | 5.62862i | 1.16241 | − | 0.205255i | ||||
\(753\) | 2.01989 | 0.0736090 | ||||||||
\(754\) | −31.5736 | − | 17.9650i | −1.14984 | − | 0.654248i | ||||
\(755\) | −45.2275 | − | 56.7135i | −1.64600 | − | 2.06401i | ||||
\(756\) | 5.19403 | − | 1.01098i | 0.188905 | − | 0.0367689i | ||||
\(757\) | −11.6979 | + | 14.6687i | −0.425167 | + | 0.533143i | −0.947567 | − | 0.319558i | \(-0.896465\pi\) |
0.522400 | + | 0.852701i | \(0.325037\pi\) | |||||||
\(758\) | −4.45400 | + | 1.78050i | −0.161776 | + | 0.0646705i | ||||
\(759\) | 0.570686 | + | 0.274828i | 0.0207146 | + | 0.00997561i | ||||
\(760\) | −5.87167 | + | 12.8057i | −0.212988 | + | 0.464510i | ||||
\(761\) | −32.3377 | − | 25.7884i | −1.17224 | − | 0.934830i | −0.173490 | − | 0.984836i | \(-0.555505\pi\) |
−0.998749 | + | 0.0500060i | \(0.984076\pi\) | |||||||
\(762\) | 4.52616 | − | 1.80934i | 0.163966 | − | 0.0655457i | ||||
\(763\) | −4.67539 | − | 0.561613i | −0.169260 | − | 0.0203318i | ||||
\(764\) | 24.5801 | + | 9.29164i | 0.889276 | + | 0.336160i | ||||
\(765\) | 19.5674 | 0.707460 | ||||||||
\(766\) | −2.31725 | + | 4.07258i | −0.0837258 | + | 0.147148i | ||||
\(767\) | 3.61073 | − | 2.87946i | 0.130376 | − | 0.103971i | ||||
\(768\) | 11.1662 | − | 11.4593i | 0.402927 | − | 0.413501i | ||||
\(769\) | −19.7651 | + | 41.0426i | −0.712746 | + | 1.48003i | 0.157553 | + | 0.987511i | \(0.449639\pi\) |
−0.870300 | + | 0.492523i | \(0.836075\pi\) | |||||||
\(770\) | 6.58172 | + | 2.87984i | 0.237189 | + | 0.103782i | ||||
\(771\) | 3.06138 | + | 6.35702i | 0.110253 | + | 0.228943i | ||||
\(772\) | −3.86810 | + | 10.2327i | −0.139216 | + | 0.368282i | ||||
\(773\) | 14.5155 | + | 30.1418i | 0.522087 | + | 1.08413i | 0.980705 | + | 0.195492i | \(0.0626303\pi\) |
−0.458618 | + | 0.888633i | \(0.651655\pi\) | |||||||
\(774\) | −4.17105 | + | 13.8307i | −0.149925 | + | 0.497133i | ||||
\(775\) | 13.9793 | + | 6.73209i | 0.502152 | + | 0.241824i | ||||
\(776\) | −9.95464 | − | 2.07516i | −0.357351 | − | 0.0744938i | ||||
\(777\) | 25.0514 | + | 3.00920i | 0.898713 | + | 0.107954i | ||||
\(778\) | −18.5888 | − | 5.60601i | −0.666441 | − | 0.200985i | ||||
\(779\) | −0.991911 | − | 0.226397i | −0.0355389 | − | 0.00811152i | ||||
\(780\) | 32.5294 | + | 4.48501i | 1.16474 | + | 0.160589i | ||||
\(781\) | 0.435144 | − | 1.90649i | 0.0155707 | − | 0.0682196i | ||||
\(782\) | −0.624900 | + | 9.10755i | −0.0223464 | + | 0.325685i | ||||
\(783\) | −6.17233 | −0.220581 | ||||||||
\(784\) | 4.46305 | + | 27.6420i | 0.159395 | + | 0.987215i | ||||
\(785\) | 9.10206 | 0.324866 | ||||||||
\(786\) | 0.0957311 | − | 1.39523i | 0.00341462 | − | 0.0497660i | ||||
\(787\) | −5.97033 | + | 26.1577i | −0.212819 | + | 0.932422i | 0.749822 | + | 0.661640i | \(0.230139\pi\) |
−0.962641 | + | 0.270782i | \(0.912718\pi\) | |||||||
\(788\) | 10.7393 | + | 1.48069i | 0.382572 | + | 0.0527475i | ||||
\(789\) | −24.0711 | − | 5.49407i | −0.856954 | − | 0.195594i | ||||
\(790\) | 92.3980 | + | 27.8654i | 3.28737 | + | 0.991405i | ||||
\(791\) | 21.1505 | + | 34.2164i | 0.752023 | + | 1.21659i | ||||
\(792\) | −1.34756 | − | 0.280915i | −0.0478836 | − | 0.00998187i | ||||
\(793\) | 21.7118 | + | 10.4559i | 0.771010 | + | 0.371299i | ||||
\(794\) | 5.80784 | − | 19.2581i | 0.206113 | − | 0.683443i | ||||
\(795\) | 11.0393 | + | 22.9234i | 0.391524 | + | 0.813008i | ||||
\(796\) | −13.3348 | + | 35.2758i | −0.472639 | + | 1.25032i | ||||
\(797\) | −15.1041 | − | 31.3640i | −0.535015 | − | 1.11097i | −0.976860 | − | 0.213878i | \(-0.931390\pi\) |
0.441846 | − | 0.897091i | \(-0.354324\pi\) | |||||||
\(798\) | 3.07745 | + | 3.58370i | 0.108941 | + | 0.126862i | ||||
\(799\) | 17.4145 | − | 36.1615i | 0.616080 | − | 1.27930i | ||||
\(800\) | −42.5092 | + | 42.0079i | −1.50293 | + | 1.48520i | ||||
\(801\) | 11.1609 | − | 8.90055i | 0.394352 | − | 0.314486i | ||||
\(802\) | 0.878417 | − | 1.54382i | 0.0310180 | − | 0.0545142i | ||||
\(803\) | 7.12974 | 0.251603 | ||||||||
\(804\) | 10.7866 | + | 4.07751i | 0.380415 | + | 0.143803i | ||||
\(805\) | −1.42182 | − | 13.5106i | −0.0501125 | − | 0.476187i | ||||
\(806\) | −8.02602 | + | 3.20842i | −0.282705 | + | 0.113012i | ||||
\(807\) | −6.10076 | − | 4.86519i | −0.214757 | − | 0.171263i | ||||
\(808\) | −11.1271 | + | 24.2673i | −0.391449 | + | 0.853721i | ||||
\(809\) | −23.0258 | − | 11.0886i | −0.809543 | − | 0.389855i | −0.0171397 | − | 0.999853i | \(-0.505456\pi\) |
−0.792403 | + | 0.609998i | \(0.791170\pi\) | |||||||
\(810\) | 5.18078 | − | 2.07103i | 0.182034 | − | 0.0727686i | ||||
\(811\) | 3.11922 | − | 3.91138i | 0.109531 | − | 0.137347i | −0.724044 | − | 0.689754i | \(-0.757719\pi\) |
0.833575 | + | 0.552406i | \(0.186290\pi\) | |||||||
\(812\) | 1.05022 | − | 32.6440i | 0.0368557 | − | 1.14558i | ||||
\(813\) | 16.4026 | + | 20.5683i | 0.575266 | + | 0.721360i | ||||
\(814\) | −5.70488 | − | 3.24601i | −0.199956 | − | 0.113773i | ||||
\(815\) | 81.5624 | 2.85701 | ||||||||
\(816\) | −3.44974 | − | 19.5368i | −0.120765 | − | 0.683925i | ||||
\(817\) | −12.5726 | + | 2.86961i | −0.439859 | + | 0.100395i | ||||
\(818\) | 3.53096 | + | 5.10958i | 0.123457 | + | 0.178652i | ||||
\(819\) | 5.92636 | − | 9.27966i | 0.207084 | − | 0.324258i | ||||
\(820\) | −5.29863 | − | 3.51567i | −0.185036 | − | 0.122773i | ||||
\(821\) | 3.04246 | + | 3.81513i | 0.106183 | + | 0.133149i | 0.832083 | − | 0.554651i | \(-0.187148\pi\) |
−0.725901 | + | 0.687800i | \(0.758577\pi\) | |||||||
\(822\) | −1.76405 | + | 25.7101i | −0.0615284 | + | 0.896741i | ||||
\(823\) | 8.59591 | − | 1.96196i | 0.299635 | − | 0.0683896i | −0.0700606 | − | 0.997543i | \(-0.522319\pi\) |
0.369695 | + | 0.929153i | \(0.379462\pi\) | |||||||
\(824\) | −36.1864 | − | 16.5922i | −1.26061 | − | 0.578017i | ||||
\(825\) | 5.01275 | + | 1.14413i | 0.174522 | + | 0.0398334i | ||||
\(826\) | 3.80404 | + | 1.66446i | 0.132359 | + | 0.0579141i | ||||
\(827\) | −9.77035 | + | 2.23002i | −0.339748 | + | 0.0775453i | −0.388991 | − | 0.921242i | \(-0.627176\pi\) |
0.0492428 | + | 0.998787i | \(0.484319\pi\) | |||||||
\(828\) | 0.798499 | + | 2.47751i | 0.0277498 | + | 0.0860995i | ||||
\(829\) | −12.3118 | − | 9.81837i | −0.427608 | − | 0.341006i | 0.385919 | − | 0.922532i | \(-0.373884\pi\) |
−0.813528 | + | 0.581526i | \(0.802456\pi\) | |||||||
\(830\) | −20.7288 | + | 22.6243i | −0.719508 | + | 0.785301i | ||||
\(831\) | 12.1539 | − | 5.85299i | 0.421613 | − | 0.203038i | ||||
\(832\) | −1.25695 | − | 33.2693i | −0.0435768 | − | 1.15340i | ||||
\(833\) | 31.0554 | + | 15.5218i | 1.07600 | + | 0.537799i | ||||
\(834\) | 8.47301 | − | 14.8913i | 0.293396 | − | 0.515645i | ||||
\(835\) | −16.4139 | − | 34.0838i | −0.568026 | − | 1.17952i | ||||
\(836\) | −0.376956 | − | 1.16959i | −0.0130373 | − | 0.0404510i | ||||
\(837\) | −0.915680 | + | 1.14823i | −0.0316505 | + | 0.0396885i | ||||
\(838\) | 17.0024 | + | 15.5779i | 0.587338 | + | 0.538131i | ||||
\(839\) | −0.313744 | − | 1.37460i | −0.0108317 | − | 0.0474566i | 0.969223 | − | 0.246183i | \(-0.0791765\pi\) |
−0.980055 | + | 0.198727i | \(0.936319\pi\) | |||||||
\(840\) | 10.0717 | + | 27.7523i | 0.347506 | + | 0.957546i | ||||
\(841\) | −2.02442 | + | 8.86956i | −0.0698076 | + | 0.305847i | ||||
\(842\) | 6.43505 | − | 4.44693i | 0.221767 | − | 0.153251i | ||||
\(843\) | −0.665065 | − | 2.91384i | −0.0229060 | − | 0.100358i | ||||
\(844\) | −25.6560 | + | 38.6673i | −0.883115 | + | 1.33098i | ||||
\(845\) | 13.3223 | − | 10.6242i | 0.458303 | − | 0.365484i | ||||
\(846\) | 0.783393 | − | 11.4175i | 0.0269336 | − | 0.392542i | ||||
\(847\) | 26.9470 | − | 9.20745i | 0.925909 | − | 0.316372i | ||||
\(848\) | 20.9413 | − | 15.0635i | 0.719127 | − | 0.517281i | ||||
\(849\) | 2.76002 | + | 12.0924i | 0.0947235 | + | 0.415011i | ||||
\(850\) | 11.5055 | + | 73.2047i | 0.394635 | + | 2.51090i | ||||
\(851\) | 12.4119i | 0.425475i | ||||||||
\(852\) | 6.90843 | − | 4.10538i | 0.236679 | − | 0.140648i | ||||
\(853\) | −19.3758 | + | 15.4516i | −0.663413 | + | 0.529054i | −0.896299 | − | 0.443450i | \(-0.853755\pi\) |
0.232886 | + | 0.972504i | \(0.425183\pi\) | |||||||
\(854\) | 0.787295 | + | 21.6522i | 0.0269407 | + | 0.740922i | ||||
\(855\) | 3.89409 | + | 3.10544i | 0.133175 | + | 0.106204i | ||||
\(856\) | 38.7994 | + | 29.7606i | 1.32614 | + | 1.01720i | ||||
\(857\) | 1.44565 | − | 3.00192i | 0.0493824 | − | 0.102544i | −0.874818 | − | 0.484452i | \(-0.839019\pi\) |
0.924200 | + | 0.381909i | \(0.124733\pi\) | |||||||
\(858\) | −2.35640 | + | 1.62838i | −0.0804461 | + | 0.0555921i | ||||
\(859\) | 18.1252 | − | 22.7283i | 0.618424 | − | 0.775479i | −0.369698 | − | 0.929152i | \(-0.620539\pi\) |
0.988122 | + | 0.153673i | \(0.0491103\pi\) | |||||||
\(860\) | −79.8442 | − | 11.0086i | −2.72266 | − | 0.375390i | ||||
\(861\) | −1.81367 | + | 1.12110i | −0.0618098 | + | 0.0382070i | ||||
\(862\) | −6.04561 | − | 38.4657i | −0.205914 | − | 1.31015i | ||||
\(863\) | − | 27.6905i | − | 0.942594i | −0.881974 | − | 0.471297i | \(-0.843786\pi\) | ||
0.881974 | − | 0.471297i | \(-0.156214\pi\) | |||||||
\(864\) | −2.98117 | − | 4.80756i | −0.101421 | − | 0.163557i | ||||
\(865\) | −46.7640 | − | 58.6402i | −1.59002 | − | 1.99383i | ||||
\(866\) | −3.85006 | + | 12.7663i | −0.130830 | + | 0.433817i | ||||
\(867\) | −6.84666 | − | 3.29718i | −0.232525 | − | 0.111978i | ||||
\(868\) | −5.91690 | − | 5.03819i | −0.200833 | − | 0.171007i | ||||
\(869\) | −7.58453 | + | 3.65252i | −0.257288 | + | 0.123903i | ||||
\(870\) | −5.34692 | − | 34.0202i | −0.181278 | − | 1.15339i | ||||
\(871\) | 21.6188 | − | 10.4111i | 0.732526 | − | 0.352766i | ||||
\(872\) | 1.21266 | + | 4.88589i | 0.0410659 | + | 0.165457i | ||||
\(873\) | −1.55988 | + | 3.23912i | −0.0527939 | + | 0.109628i | ||||
\(874\) | −1.56977 | + | 1.71331i | −0.0530984 | + | 0.0579537i | ||||
\(875\) | −18.7812 | − | 54.9660i | −0.634921 | − | 1.85819i | ||||
\(876\) | 20.1976 | + | 21.2256i | 0.682414 | + | 0.717147i | ||||
\(877\) | 0.173924 | − | 0.762012i | 0.00587301 | − | 0.0257313i | −0.971907 | − | 0.235367i | \(-0.924371\pi\) |
0.977780 | + | 0.209636i | \(0.0672279\pi\) | |||||||
\(878\) | −12.2454 | − | 30.6324i | −0.413261 | − | 1.03379i | ||||
\(879\) | 6.76830 | + | 1.54482i | 0.228289 | + | 0.0521055i | ||||
\(880\) | 0.380970 | − | 7.67076i | 0.0128425 | − | 0.258581i | ||||
\(881\) | − | 40.5201i | − | 1.36516i | −0.730813 | − | 0.682578i | \(-0.760859\pi\) | ||
0.730813 | − | 0.682578i | \(-0.239141\pi\) | |||||||
\(882\) | 9.86525 | + | 0.822722i | 0.332180 | + | 0.0277025i | ||||
\(883\) | − | 37.3098i | − | 1.25557i | −0.778386 | − | 0.627787i | \(-0.783961\pi\) | ||
0.778386 | − | 0.627787i | \(-0.216039\pi\) | |||||||
\(884\) | −34.3982 | − | 22.8234i | −1.15694 | − | 0.767635i | ||||
\(885\) | 4.26838 | + | 0.974231i | 0.143480 | + | 0.0327484i | ||||
\(886\) | −28.9318 | + | 11.5656i | −0.971984 | + | 0.388553i | ||||
\(887\) | −4.46507 | + | 19.5627i | −0.149922 | + | 0.656852i | 0.842983 | + | 0.537941i | \(0.180798\pi\) |
−0.992905 | + | 0.118912i | \(0.962059\pi\) | |||||||
\(888\) | −6.49761 | − | 26.1793i | −0.218046 | − | 0.878518i | ||||
\(889\) | 9.06911 | − | 0.954405i | 0.304168 | − | 0.0320097i | ||||
\(890\) | 58.7259 | + | 53.8058i | 1.96850 | + | 1.80358i | ||||
\(891\) | −0.211161 | + | 0.438481i | −0.00707417 | + | 0.0146897i | ||||
\(892\) | 22.7206 | − | 21.6202i | 0.760743 | − | 0.723898i | ||||
\(893\) | 9.20465 | − | 4.43272i | 0.308022 | − | 0.148335i | ||||
\(894\) | −10.0026 | + | 1.57210i | −0.334539 | + | 0.0525790i | ||||
\(895\) | −10.7910 | + | 5.19667i | −0.360703 | + | 0.173706i | ||||
\(896\) | 25.9333 | − | 14.9487i | 0.866371 | − | 0.499401i | ||||
\(897\) | 4.87999 | + | 2.35008i | 0.162938 | + | 0.0784668i | ||||
\(898\) | 55.2035 | + | 16.6483i | 1.84216 | + | 0.555560i | ||||
\(899\) | 5.65188 | + | 7.08723i | 0.188501 | + | 0.236372i | ||||
\(900\) | 10.7943 | + | 18.1644i | 0.359811 | + | 0.605479i | ||||
\(901\) | − | 31.9858i | − | 1.06560i | ||||||
\(902\) | 0.547944 | − | 0.0861197i | 0.0182445 | − | 0.00286747i | ||||
\(903\) | −14.5464 | + | 22.7772i | −0.484074 | + | 0.757977i | ||||
\(904\) | 26.1724 | − | 34.1213i | 0.870480 | − | 1.13486i | ||||
\(905\) | 34.5566 | − | 43.3326i | 1.14870 | − | 1.44043i | ||||
\(906\) | 14.7827 | + | 21.3917i | 0.491122 | + | 0.710692i | ||||
\(907\) | −0.382040 | + | 0.793314i | −0.0126854 | + | 0.0263416i | −0.907215 | − | 0.420667i | \(-0.861796\pi\) |
0.894530 | + | 0.447008i | \(0.147511\pi\) | |||||||
\(908\) | 10.5279 | + | 1.45154i | 0.349381 | + | 0.0481712i | ||||
\(909\) | 7.37948 | + | 5.88494i | 0.244762 | + | 0.195191i | ||||
\(910\) | 56.2809 | + | 24.6258i | 1.86569 | + | 0.816337i | ||||
\(911\) | −6.07476 | + | 4.84446i | −0.201266 | + | 0.160504i | −0.718936 | − | 0.695076i | \(-0.755371\pi\) |
0.517670 | + | 0.855580i | \(0.326799\pi\) | |||||||
\(912\) | 2.41405 | − | 4.43550i | 0.0799373 | − | 0.146874i | ||||
\(913\) | − | 2.67654i | − | 0.0885806i | ||||||
\(914\) | −34.6426 | + | 5.44473i | −1.14587 | + | 0.180096i | ||||
\(915\) | 5.08355 | + | 22.2725i | 0.168057 | + | 0.736306i | ||||
\(916\) | −43.6426 | + | 3.82356i | −1.44199 | + | 0.126334i | ||||
\(917\) | 0.882255 | − | 2.46313i | 0.0291346 | − | 0.0813396i | ||||
\(918\) | −6.99771 | − | 0.480136i | −0.230959 | − | 0.0158469i | ||||
\(919\) | 14.7939 | − | 11.7978i | 0.488007 | − | 0.389173i | −0.348344 | − | 0.937367i | \(-0.613256\pi\) |
0.836351 | + | 0.548194i | \(0.184685\pi\) | |||||||
\(920\) | −12.9637 | + | 6.54732i | −0.427399 | + | 0.215859i | ||||
\(921\) | 2.44062 | + | 10.6931i | 0.0804212 | + | 0.352348i | ||||
\(922\) | 23.4112 | + | 33.8779i | 0.771007 | + | 1.11571i | ||||
\(923\) | 3.72096 | − | 16.3026i | 0.122477 | − | 0.536606i | ||||
\(924\) | −2.28310 | − | 1.19139i | −0.0751083 | − | 0.0391939i | ||||
\(925\) | 22.4195 | + | 98.2263i | 0.737149 | + | 3.22966i | ||||
\(926\) | 19.5933 | − | 21.3850i | 0.643877 | − | 0.702754i | ||||
\(927\) | −8.77537 | + | 11.0040i | −0.288221 | + | 0.361418i | ||||
\(928\) | −33.0244 | + | 11.3364i | −1.08408 | + | 0.372134i | ||||
\(929\) | 16.9738 | + | 35.2465i | 0.556893 | + | 1.15640i | 0.969409 | + | 0.245450i | \(0.0789356\pi\) |
−0.412517 | + | 0.910950i | \(0.635350\pi\) | |||||||
\(930\) | −7.12195 | − | 4.05231i | −0.233538 | − | 0.132880i | ||||
\(931\) | 3.71693 | + | 8.01762i | 0.121817 | + | 0.262767i | ||||
\(932\) | −3.83868 | − | 6.45963i | −0.125740 | − | 0.211592i | ||||
\(933\) | −6.51613 | + | 3.13800i | −0.213329 | + | 0.102734i | ||||
\(934\) | 2.47320 | + | 2.26600i | 0.0809257 | + | 0.0741457i | ||||
\(935\) | −7.44539 | − | 5.93750i | −0.243490 | − | 0.194177i | ||||
\(936\) | −11.5231 | − | 2.40213i | −0.376646 | − | 0.0785160i | ||||
\(937\) | −30.9970 | + | 7.07487i | −1.01263 | + | 0.231126i | −0.696474 | − | 0.717582i | \(-0.745249\pi\) |
−0.316155 | + | 0.948708i | \(0.602392\pi\) | |||||||
\(938\) | 17.3446 | + | 12.8292i | 0.566320 | + | 0.418887i | ||||
\(939\) | −7.57834 | − | 1.72971i | −0.247310 | − | 0.0564468i | ||||
\(940\) | 63.6089 | − | 5.57282i | 2.07469 | − | 0.181765i | ||||
\(941\) | −49.6590 | + | 11.3343i | −1.61884 | + | 0.369489i | −0.933455 | − | 0.358695i | \(-0.883222\pi\) |
−0.685382 | + | 0.728184i | \(0.740365\pi\) | |||||||
\(942\) | −3.25509 | − | 0.223342i | −0.106056 | − | 0.00727689i | ||||
\(943\) | −0.653964 | − | 0.820046i | −0.0212960 | − | 0.0267044i | ||||
\(944\) | 0.220189 | − | 4.43347i | 0.00716655 | − | 0.144297i | ||||
\(945\) | 10.3808 | − | 1.09244i | 0.337686 | − | 0.0355371i | ||||
\(946\) | 5.78384 | − | 3.99691i | 0.188049 | − | 0.129951i | ||||
\(947\) | −41.4233 | + | 9.45461i | −1.34608 | + | 0.307233i | −0.834028 | − | 0.551722i | \(-0.813971\pi\) |
−0.512050 | + | 0.858956i | \(0.671114\pi\) | |||||||
\(948\) | −32.3597 | − | 12.2325i | −1.05099 | − | 0.397292i | ||||
\(949\) | 60.9671 | 1.97908 | ||||||||
\(950\) | −9.32824 | + | 16.3944i | −0.302648 | + | 0.531905i | ||||
\(951\) | −7.45847 | − | 9.35262i | −0.241857 | − | 0.303280i | ||||
\(952\) | 3.72999 | − | 36.9275i | 0.120890 | − | 1.19683i | ||||
\(953\) | −6.79970 | + | 8.52656i | −0.220264 | + | 0.276202i | −0.879670 | − | 0.475585i | \(-0.842236\pi\) |
0.659406 | + | 0.751787i | \(0.270808\pi\) | |||||||
\(954\) | −3.38540 | − | 8.46875i | −0.109607 | − | 0.274186i | ||||
\(955\) | 46.7023 | + | 22.4906i | 1.51125 | + | 0.727780i | ||||
\(956\) | 14.1572 | − | 1.24033i | 0.457878 | − | 0.0401150i | ||||
\(957\) | 2.34857 | + | 1.87292i | 0.0759185 | + | 0.0605430i | ||||
\(958\) | 2.88806 | + | 7.22461i | 0.0933089 | + | 0.233417i | ||||
\(959\) | −16.2575 | + | 45.3884i | −0.524981 | + | 1.46567i | ||||
\(960\) | 23.9155 | − | 20.5961i | 0.771869 | − | 0.664735i | ||||
\(961\) | −28.8431 | −0.930423 | ||||||||
\(962\) | −48.7830 | − | 27.7570i | −1.57283 | − | 0.894921i | ||||
\(963\) | 13.5166 | − | 10.7791i | 0.435565 | − | 0.347351i | ||||
\(964\) | −11.1989 | − | 11.7689i | −0.360693 | − | 0.379052i | ||||
\(965\) | −9.36284 | + | 19.4421i | −0.301400 | + | 0.625864i | ||||
\(966\) | 0.176954 | + | 4.86657i | 0.00569339 | + | 0.156579i | ||||
\(967\) | 25.0168 | + | 51.9480i | 0.804487 | + | 1.67053i | 0.739991 | + | 0.672616i | \(0.234830\pi\) |
0.0644956 | + | 0.997918i | \(0.479456\pi\) | |||||||
\(968\) | −19.4267 | − | 23.4385i | −0.624399 | − | 0.753342i | ||||
\(969\) | −2.71679 | − | 5.64146i | −0.0872757 | − | 0.181230i | ||||
\(970\) | −19.2045 | − | 5.79168i | −0.616618 | − | 0.185960i | ||||
\(971\) | −18.3674 | − | 8.84529i | −0.589439 | − | 0.283859i | 0.115294 | − | 0.993331i | \(-0.463219\pi\) |
−0.704733 | + | 0.709472i | \(0.748933\pi\) | |||||||
\(972\) | −1.90357 | + | 0.613520i | −0.0610572 | + | 0.0196787i | ||||
\(973\) | 22.8309 | − | 22.4978i | 0.731926 | − | 0.721247i | ||||
\(974\) | 4.17142 | − | 13.8319i | 0.133661 | − | 0.443202i | ||||
\(975\) | 42.8645 | + | 9.78354i | 1.37276 | + | 0.313324i | ||||
\(976\) | 21.3414 | − | 9.00226i | 0.683123 | − | 0.288155i | ||||
\(977\) | −9.04987 | + | 39.6501i | −0.289531 | + | 1.26852i | 0.595639 | + | 0.803252i | \(0.296899\pi\) |
−0.885170 | + | 0.465267i | \(0.845958\pi\) | |||||||
\(978\) | −29.1684 | − | 2.00134i | −0.932703 | − | 0.0639959i | ||||
\(979\) | −6.94750 | −0.222043 | ||||||||
\(980\) | 4.01137 | + | 55.0873i | 0.128139 | + | 1.75970i | ||||
\(981\) | 1.77983 | 0.0568257 | ||||||||
\(982\) | 38.3750 | + | 2.63304i | 1.22460 | + | 0.0840236i | ||||
\(983\) | 2.85683 | − | 12.5166i | 0.0911189 | − | 0.399218i | −0.908716 | − | 0.417416i | \(-0.862936\pi\) |
0.999834 | + | 0.0181981i | \(0.00579296\pi\) | |||||||
\(984\) | 1.80864 | + | 1.38729i | 0.0576572 | + | 0.0442253i | ||||
\(985\) | 20.8488 | + | 4.75860i | 0.664297 | + | 0.151621i | ||||
\(986\) | −12.5004 | + | 41.4498i | −0.398094 | + | 1.32003i | ||||
\(987\) | 7.21973 | − | 20.1564i | 0.229807 | − | 0.641586i | ||||
\(988\) | −3.22339 | − | 10.0012i | −0.102550 | − | 0.318182i | ||||
\(989\) | −11.9781 | − | 5.76833i | −0.380880 | − | 0.183422i | ||||
\(990\) | −2.59972 | − | 0.784022i | −0.0826244 | − | 0.0249178i | ||||
\(991\) | −3.48812 | − | 7.24315i | −0.110804 | − | 0.230086i | 0.838192 | − | 0.545375i | \(-0.183613\pi\) |
−0.948996 | + | 0.315289i | \(0.897899\pi\) | |||||||
\(992\) | −2.79037 | + | 7.82524i | −0.0885944 | + | 0.248452i | ||||
\(993\) | −7.88767 | − | 16.3789i | −0.250308 | − | 0.519769i | ||||
\(994\) | 14.5262 | − | 3.87586i | 0.460742 | − | 0.122935i | ||||
\(995\) | −32.2772 | + | 67.0243i | −1.02326 | + | 2.12481i | ||||
\(996\) | 7.96821 | − | 7.58229i | 0.252482 | − | 0.240254i | ||||
\(997\) | 38.2141 | − | 30.4748i | 1.21025 | − | 0.965145i | 0.210332 | − | 0.977630i | \(-0.432546\pi\) |
0.999922 | + | 0.0124847i | \(0.00397411\pi\) | |||||||
\(998\) | 50.2168 | + | 28.5728i | 1.58958 | + | 0.904455i | ||||
\(999\) | −9.53659 | −0.301724 |
(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 | 588.2.x.b.223.14 | yes | 168 | |
4.3 | odd | 2 | 588.2.x.a.223.6 | ✓ | 168 | ||
49.20 | odd | 14 | 588.2.x.a.559.6 | yes | 168 | ||
196.167 | even | 14 | inner | 588.2.x.b.559.14 | yes | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.x.a.223.6 | ✓ | 168 | 4.3 | odd | 2 | ||
588.2.x.a.559.6 | yes | 168 | 49.20 | odd | 14 | ||
588.2.x.b.223.14 | yes | 168 | 1.1 | even | 1 | trivial | |
588.2.x.b.559.14 | yes | 168 | 196.167 | even | 14 | inner |