Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(49,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.r (of order \(22\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 49.2 | ||
Character | \(\chi\) | \(=\) | 690.49 |
Dual form | 690.2.r.b.169.2 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{8}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.989821 | + | 0.142315i | −0.699909 | + | 0.100632i | ||||
\(3\) | 0.909632 | + | 0.415415i | 0.525176 | + | 0.239840i | ||||
\(4\) | 0.959493 | − | 0.281733i | 0.479746 | − | 0.140866i | ||||
\(5\) | −1.21290 | + | 1.87853i | −0.542426 | + | 0.840103i | ||||
\(6\) | −0.959493 | − | 0.281733i | −0.391711 | − | 0.115017i | ||||
\(7\) | 0.707520 | + | 1.10092i | 0.267417 | + | 0.416110i | 0.948829 | − | 0.315791i | \(-0.102270\pi\) |
−0.681411 | + | 0.731901i | \(0.738633\pi\) | |||||||
\(8\) | −0.909632 | + | 0.415415i | −0.321603 | + | 0.146871i | ||||
\(9\) | 0.654861 | + | 0.755750i | 0.218287 | + | 0.251917i | ||||
\(10\) | 0.933214 | − | 2.03202i | 0.295108 | − | 0.642582i | ||||
\(11\) | 0.267070 | − | 1.85751i | 0.0805246 | − | 0.560061i | −0.909121 | − | 0.416531i | \(-0.863246\pi\) |
0.989646 | − | 0.143530i | \(-0.0458452\pi\) | |||||||
\(12\) | 0.989821 | + | 0.142315i | 0.285737 | + | 0.0410828i | ||||
\(13\) | −2.09426 | + | 3.25874i | −0.580844 | + | 0.903811i | −0.999992 | − | 0.00410703i | \(-0.998693\pi\) |
0.419147 | + | 0.907918i | \(0.362329\pi\) | |||||||
\(14\) | −0.856996 | − | 0.989026i | −0.229042 | − | 0.264328i | ||||
\(15\) | −1.88366 | + | 1.20491i | −0.486360 | + | 0.311107i | ||||
\(16\) | 0.841254 | − | 0.540641i | 0.210313 | − | 0.135160i | ||||
\(17\) | −1.13834 | + | 3.87684i | −0.276089 | + | 0.940272i | 0.698376 | + | 0.715731i | \(0.253906\pi\) |
−0.974465 | + | 0.224541i | \(0.927912\pi\) | |||||||
\(18\) | −0.755750 | − | 0.654861i | −0.178132 | − | 0.154352i | ||||
\(19\) | 4.77964 | − | 1.40343i | 1.09653 | − | 0.321969i | 0.317055 | − | 0.948407i | \(-0.397306\pi\) |
0.779471 | + | 0.626438i | \(0.215488\pi\) | |||||||
\(20\) | −0.634529 | + | 2.14415i | −0.141885 | + | 0.479446i | ||||
\(21\) | 0.186243 | + | 1.29535i | 0.0406416 | + | 0.282668i | ||||
\(22\) | 1.87661i | 0.400095i | ||||||||
\(23\) | −3.69147 | + | 3.06155i | −0.769724 | + | 0.638377i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | −2.05774 | − | 4.55694i | −0.411547 | − | 0.911388i | ||||
\(26\) | 1.60918 | − | 3.52361i | 0.315586 | − | 0.691037i | ||||
\(27\) | 0.281733 | + | 0.959493i | 0.0542195 | + | 0.184655i | ||||
\(28\) | 0.989026 | + | 0.856996i | 0.186908 | + | 0.161957i | ||||
\(29\) | −6.75804 | − | 1.98434i | −1.25494 | − | 0.368483i | −0.414329 | − | 0.910127i | \(-0.635984\pi\) |
−0.840608 | + | 0.541645i | \(0.817802\pi\) | |||||||
\(30\) | 1.69301 | − | 1.46072i | 0.309101 | − | 0.266690i | ||||
\(31\) | 2.27028 | + | 4.97122i | 0.407754 | + | 0.892858i | 0.996425 | + | 0.0844845i | \(0.0269244\pi\) |
−0.588670 | + | 0.808373i | \(0.700348\pi\) | |||||||
\(32\) | −0.755750 | + | 0.654861i | −0.133599 | + | 0.115764i | ||||
\(33\) | 1.01457 | − | 1.57871i | 0.176615 | − | 0.274818i | ||||
\(34\) | 0.575024 | − | 3.99938i | 0.0986159 | − | 0.685889i | ||||
\(35\) | −2.92627 | − | 0.00621525i | −0.494629 | − | 0.00105057i | ||||
\(36\) | 0.841254 | + | 0.540641i | 0.140209 | + | 0.0901068i | ||||
\(37\) | −3.36038 | + | 2.91179i | −0.552443 | + | 0.478695i | −0.885775 | − | 0.464115i | \(-0.846373\pi\) |
0.333332 | + | 0.942810i | \(0.391827\pi\) | |||||||
\(38\) | −4.53127 | + | 2.06936i | −0.735068 | + | 0.335694i | ||||
\(39\) | −3.25874 | + | 2.09426i | −0.521816 | + | 0.335351i | ||||
\(40\) | 0.322926 | − | 2.21263i | 0.0510591 | − | 0.349847i | ||||
\(41\) | −4.58798 | + | 5.29481i | −0.716521 | + | 0.826910i | −0.990884 | − | 0.134717i | \(-0.956988\pi\) |
0.274363 | + | 0.961626i | \(0.411533\pi\) | |||||||
\(42\) | −0.368695 | − | 1.25566i | −0.0568908 | − | 0.193752i | ||||
\(43\) | 2.17912 | + | 0.995168i | 0.332312 | + | 0.151762i | 0.574582 | − | 0.818447i | \(-0.305165\pi\) |
−0.242270 | + | 0.970209i | \(0.577892\pi\) | |||||||
\(44\) | −0.267070 | − | 1.85751i | −0.0402623 | − | 0.280030i | ||||
\(45\) | −2.21398 | + | 0.313524i | −0.330040 | + | 0.0467374i | ||||
\(46\) | 3.21819 | − | 3.55573i | 0.474496 | − | 0.524264i | ||||
\(47\) | − | 5.44474i | − | 0.794198i | −0.917776 | − | 0.397099i | \(-0.870017\pi\) | ||
0.917776 | − | 0.397099i | \(-0.129983\pi\) | |||||||
\(48\) | 0.989821 | − | 0.142315i | 0.142868 | − | 0.0205414i | ||||
\(49\) | 2.19646 | − | 4.80957i | 0.313780 | − | 0.687082i | ||||
\(50\) | 2.68531 | + | 4.21771i | 0.379760 | + | 0.596475i | ||||
\(51\) | −2.64597 | + | 3.05361i | −0.370510 | + | 0.427591i | ||||
\(52\) | −1.09134 | + | 3.71676i | −0.151341 | + | 0.515422i | ||||
\(53\) | 4.25675 | + | 6.62363i | 0.584710 | + | 0.909826i | 1.00000 | 0.000137192i | \(4.36697e-5\pi\) | |
−0.415290 | + | 0.909689i | \(0.636320\pi\) | |||||||
\(54\) | −0.415415 | − | 0.909632i | −0.0565308 | − | 0.123785i | ||||
\(55\) | 3.16546 | + | 2.75468i | 0.426830 | + | 0.371441i | ||||
\(56\) | −1.10092 | − | 0.707520i | −0.147117 | − | 0.0945464i | ||||
\(57\) | 4.93072 | + | 0.708931i | 0.653090 | + | 0.0939002i | ||||
\(58\) | 6.97165 | + | 1.00237i | 0.915423 | + | 0.131618i | ||||
\(59\) | 0.186393 | + | 0.119787i | 0.0242663 | + | 0.0155950i | 0.552718 | − | 0.833369i | \(-0.313591\pi\) |
−0.528451 | + | 0.848964i | \(0.677227\pi\) | |||||||
\(60\) | −1.46790 | + | 1.68679i | −0.189505 | + | 0.217764i | ||||
\(61\) | 1.20058 | + | 2.62891i | 0.153719 | + | 0.336597i | 0.970787 | − | 0.239944i | \(-0.0771292\pi\) |
−0.817068 | + | 0.576541i | \(0.804402\pi\) | |||||||
\(62\) | −2.95465 | − | 4.59753i | −0.375241 | − | 0.583887i | ||||
\(63\) | −0.368695 | + | 1.25566i | −0.0464512 | + | 0.158198i | ||||
\(64\) | 0.654861 | − | 0.755750i | 0.0818576 | − | 0.0944687i | ||||
\(65\) | −3.58149 | − | 7.88666i | −0.444230 | − | 0.978220i | ||||
\(66\) | −0.779573 | + | 1.70703i | −0.0959588 | + | 0.210120i | ||||
\(67\) | −4.34717 | + | 0.625028i | −0.531091 | + | 0.0763594i | −0.402643 | − | 0.915357i | \(-0.631909\pi\) |
−0.128448 | + | 0.991716i | \(0.540999\pi\) | |||||||
\(68\) | 4.04051i | 0.489984i | ||||||||
\(69\) | −4.62969 | + | 1.25139i | −0.557349 | + | 0.150650i | ||||
\(70\) | 2.89737 | − | 0.410299i | 0.346302 | − | 0.0490401i | ||||
\(71\) | 1.57699 | + | 10.9682i | 0.187154 | + | 1.30168i | 0.839332 | + | 0.543618i | \(0.182946\pi\) |
−0.652179 | + | 0.758065i | \(0.726145\pi\) | |||||||
\(72\) | −0.909632 | − | 0.415415i | −0.107201 | − | 0.0489571i | ||||
\(73\) | 0.479374 | + | 1.63260i | 0.0561065 | + | 0.191081i | 0.982778 | − | 0.184792i | \(-0.0591611\pi\) |
−0.926671 | + | 0.375873i | \(0.877343\pi\) | |||||||
\(74\) | 2.91179 | − | 3.36038i | 0.338488 | − | 0.390637i | ||||
\(75\) | 0.0212394 | − | 4.99995i | 0.00245252 | − | 0.577345i | ||||
\(76\) | 4.19064 | − | 2.69316i | 0.480700 | − | 0.308927i | ||||
\(77\) | 2.23393 | − | 1.02020i | 0.254580 | − | 0.116263i | ||||
\(78\) | 2.92752 | − | 2.53671i | 0.331477 | − | 0.287226i | ||||
\(79\) | −5.25189 | − | 3.37518i | −0.590883 | − | 0.379738i | 0.210762 | − | 0.977537i | \(-0.432405\pi\) |
−0.801646 | + | 0.597800i | \(0.796042\pi\) | |||||||
\(80\) | −0.00474929 | + | 2.23606i | −0.000530986 | + | 0.249999i | ||||
\(81\) | −0.142315 | + | 0.989821i | −0.0158128 | + | 0.109980i | ||||
\(82\) | 3.78775 | − | 5.89385i | 0.418287 | − | 0.650867i | ||||
\(83\) | 1.99365 | − | 1.72751i | 0.218832 | − | 0.189619i | −0.538545 | − | 0.842597i | \(-0.681026\pi\) |
0.757377 | + | 0.652978i | \(0.226480\pi\) | |||||||
\(84\) | 0.543641 | + | 1.19041i | 0.0593161 | + | 0.129884i | ||||
\(85\) | −5.90206 | − | 6.84064i | −0.640168 | − | 0.741971i | ||||
\(86\) | −2.29856 | − | 0.674919i | −0.247860 | − | 0.0727784i | ||||
\(87\) | −5.32300 | − | 4.61241i | −0.570686 | − | 0.494502i | ||||
\(88\) | 0.528703 | + | 1.80060i | 0.0563599 | + | 0.191944i | ||||
\(89\) | 1.12079 | − | 2.45418i | 0.118803 | − | 0.260143i | −0.840883 | − | 0.541217i | \(-0.817964\pi\) |
0.959686 | + | 0.281075i | \(0.0906909\pi\) | |||||||
\(90\) | 2.14682 | − | 0.625415i | 0.226295 | − | 0.0659245i | ||||
\(91\) | −5.06935 | −0.531413 | ||||||||
\(92\) | −2.67940 | + | 3.97754i | −0.279347 | + | 0.414687i | ||||
\(93\) | 5.46509i | 0.566704i | ||||||||
\(94\) | 0.774868 | + | 5.38932i | 0.0799215 | + | 0.555866i | ||||
\(95\) | −3.16086 | + | 10.6809i | −0.324297 | + | 1.09584i | ||||
\(96\) | −0.959493 | + | 0.281733i | −0.0979278 | + | 0.0287542i | ||||
\(97\) | 6.97510 | + | 6.04395i | 0.708214 | + | 0.613671i | 0.932635 | − | 0.360822i | \(-0.117504\pi\) |
−0.224421 | + | 0.974492i | \(0.572049\pi\) | |||||||
\(98\) | −1.48963 | + | 5.07321i | −0.150475 | + | 0.512471i | ||||
\(99\) | 1.57871 | − | 1.01457i | 0.158666 | − | 0.101968i | ||||
\(100\) | −3.25822 | − | 3.79262i | −0.325822 | − | 0.379262i | ||||
\(101\) | 10.4780 | + | 12.0923i | 1.04260 | + | 1.20323i | 0.978706 | + | 0.205269i | \(0.0658068\pi\) |
0.0638950 | + | 0.997957i | \(0.479648\pi\) | |||||||
\(102\) | 2.18446 | − | 3.39909i | 0.216294 | − | 0.336560i | ||||
\(103\) | −4.05369 | − | 0.582832i | −0.399422 | − | 0.0574282i | −0.0603229 | − | 0.998179i | \(-0.519213\pi\) |
−0.339099 | + | 0.940751i | \(0.610122\pi\) | |||||||
\(104\) | 0.551281 | − | 3.83424i | 0.0540575 | − | 0.375978i | ||||
\(105\) | −2.65924 | − | 1.22127i | −0.259516 | − | 0.119184i | ||||
\(106\) | −5.15607 | − | 5.95042i | −0.500801 | − | 0.577956i | ||||
\(107\) | −6.54875 | + | 2.99072i | −0.633092 | + | 0.289123i | −0.705996 | − | 0.708216i | \(-0.749500\pi\) |
0.0729043 | + | 0.997339i | \(0.476773\pi\) | |||||||
\(108\) | 0.540641 | + | 0.841254i | 0.0520232 | + | 0.0809497i | ||||
\(109\) | −10.9350 | − | 3.21081i | −1.04739 | − | 0.307540i | −0.287625 | − | 0.957743i | \(-0.592866\pi\) |
−0.759761 | + | 0.650203i | \(0.774684\pi\) | |||||||
\(110\) | −3.52527 | − | 2.27615i | −0.336121 | − | 0.217022i | ||||
\(111\) | −4.26631 | + | 1.25270i | −0.404940 | + | 0.118901i | ||||
\(112\) | 1.19041 | + | 0.543641i | 0.112483 | + | 0.0513692i | ||||
\(113\) | 9.32685 | − | 1.34100i | 0.877396 | − | 0.126150i | 0.311124 | − | 0.950369i | \(-0.399294\pi\) |
0.566272 | + | 0.824219i | \(0.308385\pi\) | |||||||
\(114\) | −4.98143 | −0.466553 | ||||||||
\(115\) | −1.27381 | − | 10.6479i | −0.118784 | − | 0.992920i | ||||
\(116\) | −7.04334 | −0.653958 | ||||||||
\(117\) | −3.83424 | + | 0.551281i | −0.354476 | + | 0.0509659i | ||||
\(118\) | −0.201543 | − | 0.0920417i | −0.0185536 | − | 0.00847313i | ||||
\(119\) | −5.07350 | + | 1.48971i | −0.465087 | + | 0.136562i | ||||
\(120\) | 1.21290 | − | 1.87853i | 0.110722 | − | 0.171485i | ||||
\(121\) | 7.17540 | + | 2.10689i | 0.652309 | + | 0.191535i | ||||
\(122\) | −1.56249 | − | 2.43129i | −0.141462 | − | 0.220118i | ||||
\(123\) | −6.37291 | + | 2.91041i | −0.574626 | + | 0.262423i | ||||
\(124\) | 3.57887 | + | 4.13024i | 0.321392 | + | 0.370907i | ||||
\(125\) | 11.0562 | + | 1.66161i | 0.988895 | + | 0.148619i | ||||
\(126\) | 0.186243 | − | 1.29535i | 0.0165919 | − | 0.115399i | ||||
\(127\) | 5.05050 | + | 0.726152i | 0.448159 | + | 0.0644356i | 0.362700 | − | 0.931906i | \(-0.381855\pi\) |
0.0854596 | + | 0.996342i | \(0.472764\pi\) | |||||||
\(128\) | −0.540641 | + | 0.841254i | −0.0477863 | + | 0.0743570i | ||||
\(129\) | 1.56878 | + | 1.81047i | 0.138124 | + | 0.159403i | ||||
\(130\) | 4.66743 | + | 7.29669i | 0.409361 | + | 0.639962i | ||||
\(131\) | 9.19708 | − | 5.91060i | 0.803553 | − | 0.516412i | −0.0732207 | − | 0.997316i | \(-0.523328\pi\) |
0.876773 | + | 0.480904i | \(0.159691\pi\) | |||||||
\(132\) | 0.528703 | − | 1.80060i | 0.0460177 | − | 0.156722i | ||||
\(133\) | 4.92676 | + | 4.26906i | 0.427205 | + | 0.370175i | ||||
\(134\) | 4.21397 | − | 1.23733i | 0.364032 | − | 0.106889i | ||||
\(135\) | −2.14415 | − | 0.634529i | −0.184539 | − | 0.0546115i | ||||
\(136\) | −0.575024 | − | 3.99938i | −0.0493079 | − | 0.342944i | ||||
\(137\) | − | 21.3399i | − | 1.82319i | −0.411088 | − | 0.911596i | \(-0.634851\pi\) | ||
0.411088 | − | 0.911596i | \(-0.365149\pi\) | |||||||
\(138\) | 4.40447 | − | 1.89753i | 0.374934 | − | 0.161528i | ||||
\(139\) | 13.3266 | 1.13035 | 0.565175 | − | 0.824971i | \(-0.308809\pi\) | ||||
0.565175 | + | 0.824971i | \(0.308809\pi\) | |||||||
\(140\) | −2.80948 | + | 0.818461i | −0.237445 | + | 0.0691726i | ||||
\(141\) | 2.26183 | − | 4.95271i | 0.190480 | − | 0.417094i | ||||
\(142\) | −3.12187 | − | 10.6321i | −0.261982 | − | 0.892227i | ||||
\(143\) | 5.49383 | + | 4.76043i | 0.459417 | + | 0.398087i | ||||
\(144\) | 0.959493 | + | 0.281733i | 0.0799577 | + | 0.0234777i | ||||
\(145\) | 11.9245 | − | 10.2884i | 0.990274 | − | 0.854402i | ||||
\(146\) | −0.706837 | − | 1.54776i | −0.0584983 | − | 0.128093i | ||||
\(147\) | 3.99594 | − | 3.46250i | 0.329579 | − | 0.285582i | ||||
\(148\) | −2.40392 | + | 3.74057i | −0.197601 | + | 0.307473i | ||||
\(149\) | 2.93983 | − | 20.4469i | 0.240840 | − | 1.67508i | −0.407097 | − | 0.913385i | \(-0.633459\pi\) |
0.647937 | − | 0.761694i | \(-0.275632\pi\) | |||||||
\(150\) | 0.690545 | + | 4.95209i | 0.0563827 | + | 0.404336i | ||||
\(151\) | 11.3180 | + | 7.27365i | 0.921048 | + | 0.591921i | 0.912961 | − | 0.408046i | \(-0.133790\pi\) |
0.00808633 | + | 0.999967i | \(0.497426\pi\) | |||||||
\(152\) | −3.76471 | + | 3.26214i | −0.305358 | + | 0.264595i | ||||
\(153\) | −3.67538 | + | 1.67849i | −0.297137 | + | 0.135698i | ||||
\(154\) | −2.06601 | + | 1.32774i | −0.166483 | + | 0.106992i | ||||
\(155\) | −12.0922 | − | 1.76482i | −0.971270 | − | 0.141754i | ||||
\(156\) | −2.53671 | + | 2.92752i | −0.203100 | + | 0.234389i | ||||
\(157\) | −3.21971 | − | 10.9653i | −0.256961 | − | 0.875129i | −0.982392 | − | 0.186833i | \(-0.940178\pi\) |
0.725431 | − | 0.688295i | \(-0.241641\pi\) | |||||||
\(158\) | 5.67877 | + | 2.59341i | 0.451779 | + | 0.206320i | ||||
\(159\) | 1.12052 | + | 7.79339i | 0.0888630 | + | 0.618056i | ||||
\(160\) | −0.313524 | − | 2.21398i | −0.0247862 | − | 0.175030i | ||||
\(161\) | −5.98231 | − | 1.89792i | −0.471472 | − | 0.149577i | ||||
\(162\) | − | 1.00000i | − | 0.0785674i | ||||||
\(163\) | 20.3714 | − | 2.92897i | 1.59562 | − | 0.229415i | 0.713571 | − | 0.700582i | \(-0.247076\pi\) |
0.882044 | + | 0.471168i | \(0.156167\pi\) | |||||||
\(164\) | −2.91041 | + | 6.37291i | −0.227265 | + | 0.497641i | ||||
\(165\) | 1.73507 | + | 3.82072i | 0.135075 | + | 0.297443i | ||||
\(166\) | −1.72751 | + | 1.99365i | −0.134081 | + | 0.154737i | ||||
\(167\) | 5.48699 | − | 18.6870i | 0.424596 | − | 1.44604i | −0.418469 | − | 0.908231i | \(-0.637433\pi\) |
0.843065 | − | 0.537811i | \(-0.180749\pi\) | |||||||
\(168\) | −0.707520 | − | 1.10092i | −0.0545864 | − | 0.0849380i | ||||
\(169\) | −0.833036 | − | 1.82409i | −0.0640797 | − | 0.140315i | ||||
\(170\) | 6.81551 | + | 5.93106i | 0.522725 | + | 0.454892i | ||||
\(171\) | 4.19064 | + | 2.69316i | 0.320466 | + | 0.205951i | ||||
\(172\) | 2.37122 | + | 0.340930i | 0.180804 | + | 0.0259956i | ||||
\(173\) | 6.80930 | + | 0.979030i | 0.517702 | + | 0.0744343i | 0.396213 | − | 0.918159i | \(-0.370324\pi\) |
0.121489 | + | 0.992593i | \(0.461233\pi\) | |||||||
\(174\) | 5.92524 | + | 3.80792i | 0.449191 | + | 0.288678i | ||||
\(175\) | 3.56095 | − | 5.48954i | 0.269183 | − | 0.414970i | ||||
\(176\) | −0.779573 | − | 1.70703i | −0.0587625 | − | 0.128672i | ||||
\(177\) | 0.119787 | + | 0.186393i | 0.00900378 | + | 0.0140102i | ||||
\(178\) | −0.760113 | + | 2.58871i | −0.0569729 | + | 0.194032i | ||||
\(179\) | −6.02416 | + | 6.95225i | −0.450267 | + | 0.519635i | −0.934818 | − | 0.355127i | \(-0.884437\pi\) |
0.484551 | + | 0.874763i | \(0.338983\pi\) | |||||||
\(180\) | −2.03597 | + | 0.924574i | −0.151752 | + | 0.0689137i | ||||
\(181\) | 7.37317 | − | 16.1450i | 0.548043 | − | 1.20005i | −0.409646 | − | 0.912244i | \(-0.634348\pi\) |
0.957690 | − | 0.287803i | \(-0.0929248\pi\) | |||||||
\(182\) | 5.01775 | − | 0.721444i | 0.371941 | − | 0.0534770i | ||||
\(183\) | 2.89008i | 0.213641i | ||||||||
\(184\) | 2.08606 | − | 4.31837i | 0.153787 | − | 0.318355i | ||||
\(185\) | −1.39406 | − | 9.84429i | −0.102493 | − | 0.723766i | ||||
\(186\) | −0.777764 | − | 5.40946i | −0.0570284 | − | 0.396641i | ||||
\(187\) | 6.89726 | + | 3.14987i | 0.504377 | + | 0.230341i | ||||
\(188\) | −1.53396 | − | 5.22419i | −0.111876 | − | 0.381013i | ||||
\(189\) | −0.856996 | + | 0.989026i | −0.0623373 | + | 0.0719411i | ||||
\(190\) | 1.60863 | − | 11.0220i | 0.116702 | − | 0.799623i | ||||
\(191\) | −2.35449 | + | 1.51314i | −0.170365 | + | 0.109487i | −0.623044 | − | 0.782186i | \(-0.714104\pi\) |
0.452680 | + | 0.891673i | \(0.350468\pi\) | |||||||
\(192\) | 0.909632 | − | 0.415415i | 0.0656470 | − | 0.0299800i | ||||
\(193\) | −17.3683 | + | 15.0497i | −1.25020 | + | 1.08330i | −0.257057 | + | 0.966396i | \(0.582753\pi\) |
−0.993143 | + | 0.116908i | \(0.962702\pi\) | |||||||
\(194\) | −7.76424 | − | 4.98978i | −0.557440 | − | 0.358245i | ||||
\(195\) | 0.0183972 | − | 8.66177i | 0.00131745 | − | 0.620282i | ||||
\(196\) | 0.752473 | − | 5.23357i | 0.0537481 | − | 0.373826i | ||||
\(197\) | 10.0472 | − | 15.6338i | 0.715834 | − | 1.11386i | −0.272589 | − | 0.962131i | \(-0.587880\pi\) |
0.988422 | − | 0.151728i | \(-0.0484838\pi\) | |||||||
\(198\) | −1.41825 | + | 1.22892i | −0.100791 | + | 0.0873355i | ||||
\(199\) | 5.17052 | + | 11.3219i | 0.366528 | + | 0.802585i | 0.999594 | + | 0.0284871i | \(0.00906894\pi\) |
−0.633066 | + | 0.774098i | \(0.718204\pi\) | |||||||
\(200\) | 3.76480 | + | 3.29033i | 0.266212 | + | 0.232661i | ||||
\(201\) | −4.21397 | − | 1.23733i | −0.297231 | − | 0.0872748i | ||||
\(202\) | −12.0923 | − | 10.4780i | −0.850809 | − | 0.737230i | ||||
\(203\) | −2.59684 | − | 8.84404i | −0.182263 | − | 0.620730i | ||||
\(204\) | −1.67849 | + | 3.67538i | −0.117518 | + | 0.257328i | ||||
\(205\) | −4.38168 | − | 15.0407i | −0.306030 | − | 1.05049i | ||||
\(206\) | 4.09537 | 0.285338 | ||||||||
\(207\) | −4.73116 | − | 0.784939i | −0.328838 | − | 0.0545570i | ||||
\(208\) | 3.87367i | 0.268591i | ||||||||
\(209\) | −1.33039 | − | 9.25306i | −0.0920249 | − | 0.640047i | ||||
\(210\) | 2.80598 | + | 0.830388i | 0.193631 | + | 0.0573022i | ||||
\(211\) | −4.03941 | + | 1.18608i | −0.278085 | + | 0.0816530i | −0.417801 | − | 0.908539i | \(-0.637199\pi\) |
0.139716 | + | 0.990192i | \(0.455381\pi\) | |||||||
\(212\) | 5.95042 | + | 5.15607i | 0.408676 | + | 0.354120i | ||||
\(213\) | −3.12187 | + | 10.6321i | −0.213907 | + | 0.728500i | ||||
\(214\) | 6.05647 | − | 3.89226i | 0.414012 | − | 0.266069i | ||||
\(215\) | −4.51251 | + | 2.88649i | −0.307750 | + | 0.196857i | ||||
\(216\) | −0.654861 | − | 0.755750i | −0.0445576 | − | 0.0514222i | ||||
\(217\) | −3.86666 | + | 6.01664i | −0.262486 | + | 0.408436i | ||||
\(218\) | 11.2807 | + | 1.62192i | 0.764023 | + | 0.109850i | ||||
\(219\) | −0.242152 | + | 1.68420i | −0.0163631 | + | 0.113808i | ||||
\(220\) | 3.81332 | + | 1.75128i | 0.257094 | + | 0.118071i | ||||
\(221\) | −10.2496 | − | 11.8287i | −0.689464 | − | 0.795684i | ||||
\(222\) | 4.04461 | − | 1.84711i | 0.271456 | − | 0.123970i | ||||
\(223\) | −6.41107 | − | 9.97583i | −0.429317 | − | 0.668031i | 0.557443 | − | 0.830215i | \(-0.311782\pi\) |
−0.986760 | + | 0.162184i | \(0.948146\pi\) | |||||||
\(224\) | −1.25566 | − | 0.368695i | −0.0838973 | − | 0.0246345i | ||||
\(225\) | 2.09638 | − | 4.53930i | 0.139758 | − | 0.302620i | ||||
\(226\) | −9.04107 | + | 2.65470i | −0.601403 | + | 0.176588i | ||||
\(227\) | 17.1853 | + | 7.84825i | 1.14063 | + | 0.520906i | 0.893939 | − | 0.448189i | \(-0.147931\pi\) |
0.246687 | + | 0.969095i | \(0.420658\pi\) | |||||||
\(228\) | 4.93072 | − | 0.708931i | 0.326545 | − | 0.0469501i | ||||
\(229\) | 1.92266 | 0.127053 | 0.0635265 | − | 0.997980i | \(-0.479765\pi\) | ||||
0.0635265 | + | 0.997980i | \(0.479765\pi\) | |||||||
\(230\) | 2.77620 | + | 10.3582i | 0.183057 | + | 0.683001i | ||||
\(231\) | 2.45587 | 0.161584 | ||||||||
\(232\) | 6.97165 | − | 1.00237i | 0.457711 | − | 0.0658090i | ||||
\(233\) | 20.3707 | + | 9.30296i | 1.33453 | + | 0.609457i | 0.949592 | − | 0.313487i | \(-0.101497\pi\) |
0.384933 | + | 0.922944i | \(0.374224\pi\) | |||||||
\(234\) | 3.71676 | − | 1.09134i | 0.242972 | − | 0.0713430i | ||||
\(235\) | 10.2281 | + | 6.60394i | 0.667208 | + | 0.430794i | ||||
\(236\) | 0.212591 | + | 0.0624223i | 0.0138385 | + | 0.00406335i | ||||
\(237\) | −3.37518 | − | 5.25189i | −0.219242 | − | 0.341147i | ||||
\(238\) | 4.80985 | − | 2.19659i | 0.311777 | − | 0.142384i | ||||
\(239\) | 5.65719 | + | 6.52874i | 0.365933 | + | 0.422309i | 0.908619 | − | 0.417627i | \(-0.137138\pi\) |
−0.542686 | + | 0.839936i | \(0.682592\pi\) | |||||||
\(240\) | −0.933214 | + | 2.03202i | −0.0602387 | + | 0.131166i | ||||
\(241\) | 1.72378 | − | 11.9891i | 0.111038 | − | 0.772288i | −0.855875 | − | 0.517183i | \(-0.826981\pi\) |
0.966913 | − | 0.255106i | \(-0.0821102\pi\) | |||||||
\(242\) | −7.40221 | − | 1.06428i | −0.475832 | − | 0.0684143i | ||||
\(243\) | −0.540641 | + | 0.841254i | −0.0346821 | + | 0.0539664i | ||||
\(244\) | 1.89260 | + | 2.18417i | 0.121161 | + | 0.139827i | ||||
\(245\) | 6.37083 | + | 9.95965i | 0.407017 | + | 0.636299i | ||||
\(246\) | 5.89385 | − | 3.78775i | 0.375778 | − | 0.241498i | ||||
\(247\) | −5.43642 | + | 18.5148i | −0.345911 | + | 1.17807i | ||||
\(248\) | −4.13024 | − | 3.57887i | −0.262271 | − | 0.227259i | ||||
\(249\) | 2.53112 | − | 0.743205i | 0.160403 | − | 0.0470987i | ||||
\(250\) | −11.1801 | − | 0.0712389i | −0.707092 | − | 0.00450554i | ||||
\(251\) | −0.758701 | − | 5.27688i | −0.0478888 | − | 0.333074i | −0.999655 | − | 0.0262509i | \(-0.991643\pi\) |
0.951767 | − | 0.306823i | \(-0.0992660\pi\) | |||||||
\(252\) | 1.30867i | 0.0824384i | ||||||||
\(253\) | 4.70098 | + | 7.67459i | 0.295548 | + | 0.482497i | ||||
\(254\) | −5.10243 | −0.320155 | ||||||||
\(255\) | −2.52699 | − | 8.67427i | −0.158247 | − | 0.543204i | ||||
\(256\) | 0.415415 | − | 0.909632i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | 2.27790 | + | 7.75783i | 0.142092 | + | 0.483920i | 0.999530 | − | 0.0306673i | \(-0.00976324\pi\) |
−0.857438 | + | 0.514588i | \(0.827945\pi\) | |||||||
\(258\) | −1.81047 | − | 1.56878i | −0.112715 | − | 0.0976683i | ||||
\(259\) | −5.58319 | − | 1.63937i | −0.346923 | − | 0.101866i | ||||
\(260\) | −5.65835 | − | 6.55817i | −0.350916 | − | 0.406721i | ||||
\(261\) | −2.92591 | − | 6.40685i | −0.181109 | − | 0.396574i | ||||
\(262\) | −8.26230 | + | 7.15932i | −0.510447 | + | 0.442305i | ||||
\(263\) | −11.4412 | + | 17.8028i | −0.705492 | + | 1.09777i | 0.284776 | + | 0.958594i | \(0.408081\pi\) |
−0.990268 | + | 0.139173i | \(0.955556\pi\) | |||||||
\(264\) | −0.267070 | + | 1.85751i | −0.0164370 | + | 0.114322i | ||||
\(265\) | −17.6057 | − | 0.0373936i | −1.08151 | − | 0.00229707i | ||||
\(266\) | −5.48417 | − | 3.52446i | −0.336256 | − | 0.216099i | ||||
\(267\) | 2.03901 | − | 1.76681i | 0.124785 | − | 0.108127i | ||||
\(268\) | −3.99499 | + | 1.82445i | −0.244033 | + | 0.111446i | ||||
\(269\) | 25.6097 | − | 16.4584i | 1.56145 | − | 1.00348i | 0.579362 | − | 0.815071i | \(-0.303302\pi\) |
0.982090 | − | 0.188413i | \(-0.0603345\pi\) | |||||||
\(270\) | 2.21263 | + | 0.322926i | 0.134656 | + | 0.0196526i | ||||
\(271\) | −15.9317 | + | 18.3862i | −0.967785 | + | 1.11688i | 0.0253230 | + | 0.999679i | \(0.491939\pi\) |
−0.993108 | + | 0.117204i | \(0.962607\pi\) | |||||||
\(272\) | 1.13834 | + | 3.87684i | 0.0690222 | + | 0.235068i | ||||
\(273\) | −4.61125 | − | 2.10589i | −0.279085 | − | 0.127454i | ||||
\(274\) | 3.03699 | + | 21.1227i | 0.183471 | + | 1.27607i | ||||
\(275\) | −9.01413 | + | 2.60525i | −0.543572 | + | 0.157102i | ||||
\(276\) | −4.08960 | + | 2.50503i | −0.246165 | + | 0.150785i | ||||
\(277\) | 15.5537i | 0.934532i | 0.884117 | + | 0.467266i | \(0.154761\pi\) | ||||
−0.884117 | + | 0.467266i | \(0.845239\pi\) | |||||||
\(278\) | −13.1910 | + | 1.89658i | −0.791142 | + | 0.113749i | ||||
\(279\) | −2.27028 | + | 4.97122i | −0.135918 | + | 0.297619i | ||||
\(280\) | 2.66441 | − | 1.20996i | 0.159229 | − | 0.0723091i | ||||
\(281\) | 0.529109 | − | 0.610625i | 0.0315640 | − | 0.0364268i | −0.739748 | − | 0.672884i | \(-0.765055\pi\) |
0.771312 | + | 0.636457i | \(0.219601\pi\) | |||||||
\(282\) | −1.53396 | + | 5.22419i | −0.0913461 | + | 0.311096i | ||||
\(283\) | −13.0717 | − | 20.3399i | −0.777030 | − | 1.20908i | −0.973526 | − | 0.228577i | \(-0.926593\pi\) |
0.196496 | − | 0.980505i | \(-0.437044\pi\) | |||||||
\(284\) | 4.60320 | + | 10.0796i | 0.273150 | + | 0.598115i | ||||
\(285\) | −7.31223 | + | 8.40264i | −0.433139 | + | 0.497729i | ||||
\(286\) | −6.11539 | − | 3.93012i | −0.361610 | − | 0.232393i | ||||
\(287\) | −9.07526 | − | 1.30483i | −0.535696 | − | 0.0770214i | ||||
\(288\) | −0.989821 | − | 0.142315i | −0.0583258 | − | 0.00838598i | ||||
\(289\) | 0.567241 | + | 0.364544i | 0.0333671 | + | 0.0214438i | ||||
\(290\) | −10.3389 | + | 11.8807i | −0.607122 | + | 0.697657i | ||||
\(291\) | 3.83402 | + | 8.39533i | 0.224754 | + | 0.492143i | ||||
\(292\) | 0.919912 | + | 1.43141i | 0.0538338 | + | 0.0837670i | ||||
\(293\) | 6.43776 | − | 21.9250i | 0.376098 | − | 1.28087i | −0.526421 | − | 0.850224i | \(-0.676467\pi\) |
0.902520 | − | 0.430649i | \(-0.141715\pi\) | |||||||
\(294\) | −3.46250 | + | 3.99594i | −0.201937 | + | 0.233048i | ||||
\(295\) | −0.451101 | + | 0.204854i | −0.0262641 | + | 0.0119271i | ||||
\(296\) | 1.84711 | − | 4.04461i | 0.107361 | − | 0.235088i | ||||
\(297\) | 1.85751 | − | 0.267070i | 0.107784 | − | 0.0154970i | ||||
\(298\) | 20.6572i | 1.19664i | ||||||||
\(299\) | −2.24587 | − | 18.4412i | −0.129882 | − | 1.06648i | ||||
\(300\) | −1.38827 | − | 4.80341i | −0.0801519 | − | 0.277325i | ||||
\(301\) | 0.446164 | + | 3.10314i | 0.0257165 | + | 0.178862i | ||||
\(302\) | −12.2380 | − | 5.58889i | −0.704216 | − | 0.321605i | ||||
\(303\) | 4.50782 | + | 15.3522i | 0.258968 | + | 0.881963i | ||||
\(304\) | 3.26214 | − | 3.76471i | 0.187097 | − | 0.215921i | ||||
\(305\) | −6.39466 | − | 0.933281i | −0.366157 | − | 0.0534395i | ||||
\(306\) | 3.39909 | − | 2.18446i | 0.194313 | − | 0.124878i | ||||
\(307\) | −25.6295 | + | 11.7046i | −1.46275 | + | 0.668016i | −0.978374 | − | 0.206844i | \(-0.933681\pi\) |
−0.484376 | + | 0.874860i | \(0.660953\pi\) | |||||||
\(308\) | 1.85602 | − | 1.60825i | 0.105757 | − | 0.0916385i | ||||
\(309\) | −3.44525 | − | 2.21413i | −0.195993 | − | 0.125957i | ||||
\(310\) | 12.2203 | + | 0.0259553i | 0.694066 | + | 0.00147416i | ||||
\(311\) | −4.11481 | + | 28.6191i | −0.233329 | + | 1.62284i | 0.450207 | + | 0.892924i | \(0.351350\pi\) |
−0.683536 | + | 0.729916i | \(0.739559\pi\) | |||||||
\(312\) | 2.09426 | − | 3.25874i | 0.118564 | − | 0.184490i | ||||
\(313\) | 1.61767 | − | 1.40172i | 0.0914363 | − | 0.0792300i | −0.607943 | − | 0.793980i | \(-0.708005\pi\) |
0.699380 | + | 0.714750i | \(0.253460\pi\) | |||||||
\(314\) | 4.74747 | + | 10.3955i | 0.267915 | + | 0.586652i | ||||
\(315\) | −1.91160 | − | 2.21560i | −0.107706 | − | 0.124835i | ||||
\(316\) | −5.99005 | − | 1.75884i | −0.336966 | − | 0.0989423i | ||||
\(317\) | 0.383519 | + | 0.332321i | 0.0215406 | + | 0.0186650i | 0.665565 | − | 0.746340i | \(-0.268191\pi\) |
−0.644024 | + | 0.765005i | \(0.722736\pi\) | |||||||
\(318\) | −2.21823 | − | 7.55460i | −0.124392 | − | 0.423641i | ||||
\(319\) | −5.49080 | + | 12.0232i | −0.307426 | + | 0.673169i | ||||
\(320\) | 0.625415 | + | 2.14682i | 0.0349618 | + | 0.120011i | ||||
\(321\) | −7.19934 | −0.401828 | ||||||||
\(322\) | 6.19152 | + | 1.02723i | 0.345040 | + | 0.0572450i | ||||
\(323\) | 20.1275i | 1.11992i | ||||||||
\(324\) | 0.142315 | + | 0.989821i | 0.00790638 | + | 0.0549901i | ||||
\(325\) | 19.1593 | + | 2.83781i | 1.06277 | + | 0.157414i | ||||
\(326\) | −19.7473 | + | 5.79832i | −1.09370 | + | 0.321139i | ||||
\(327\) | −8.61303 | − | 7.46323i | −0.476302 | − | 0.412718i | ||||
\(328\) | 1.97383 | − | 6.72224i | 0.108986 | − | 0.371174i | ||||
\(329\) | 5.99424 | − | 3.85227i | 0.330473 | − | 0.212382i | ||||
\(330\) | −2.26115 | − | 3.53491i | −0.124472 | − | 0.194590i | ||||
\(331\) | 0.596299 | + | 0.688166i | 0.0327756 | + | 0.0378250i | 0.771901 | − | 0.635743i | \(-0.219306\pi\) |
−0.739125 | + | 0.673568i | \(0.764761\pi\) | |||||||
\(332\) | 1.42620 | − | 2.21921i | 0.0782729 | − | 0.121795i | ||||
\(333\) | −4.40116 | − | 0.632792i | −0.241182 | − | 0.0346768i | ||||
\(334\) | −2.77171 | + | 19.2777i | −0.151661 | + | 1.05483i | ||||
\(335\) | 4.09856 | − | 8.92438i | 0.223928 | − | 0.487591i | ||||
\(336\) | 0.856996 | + | 0.989026i | 0.0467530 | + | 0.0539558i | ||||
\(337\) | −10.6173 | + | 4.84877i | −0.578362 | + | 0.264129i | −0.683045 | − | 0.730376i | \(-0.739345\pi\) |
0.104682 | + | 0.994506i | \(0.466617\pi\) | |||||||
\(338\) | 1.08415 | + | 1.68697i | 0.0589701 | + | 0.0917593i | ||||
\(339\) | 9.04107 | + | 2.65470i | 0.491043 | + | 0.144183i | ||||
\(340\) | −7.59021 | − | 4.90074i | −0.411637 | − | 0.265780i | ||||
\(341\) | 9.84042 | − | 2.88941i | 0.532889 | − | 0.156470i | ||||
\(342\) | −4.53127 | − | 2.06936i | −0.245023 | − | 0.111898i | ||||
\(343\) | 15.9165 | − | 2.28844i | 0.859408 | − | 0.123564i | ||||
\(344\) | −2.39560 | −0.129162 | ||||||||
\(345\) | 3.26459 | − | 10.2148i | 0.175760 | − | 0.549947i | ||||
\(346\) | −6.87933 | −0.369835 | ||||||||
\(347\) | −5.18354 | + | 0.745280i | −0.278267 | + | 0.0400087i | −0.280035 | − | 0.959990i | \(-0.590346\pi\) |
0.00176845 | + | 0.999998i | \(0.499437\pi\) | |||||||
\(348\) | −6.40685 | − | 2.92591i | −0.343443 | − | 0.156845i | ||||
\(349\) | −31.5523 | + | 9.26458i | −1.68895 | + | 0.495921i | −0.978225 | − | 0.207545i | \(-0.933453\pi\) |
−0.710728 | + | 0.703467i | \(0.751634\pi\) | |||||||
\(350\) | −2.74346 | + | 5.94044i | −0.146644 | + | 0.317530i | ||||
\(351\) | −3.71676 | − | 1.09134i | −0.198386 | − | 0.0582513i | ||||
\(352\) | 1.01457 | + | 1.57871i | 0.0540769 | + | 0.0841454i | ||||
\(353\) | −19.8557 | + | 9.06780i | −1.05681 | + | 0.482630i | −0.866543 | − | 0.499102i | \(-0.833663\pi\) |
−0.190269 | + | 0.981732i | \(0.560936\pi\) | |||||||
\(354\) | −0.145095 | − | 0.167448i | −0.00771170 | − | 0.00889977i | ||||
\(355\) | −22.5168 | − | 10.3409i | −1.19507 | − | 0.548839i | ||||
\(356\) | 0.383965 | − | 2.67053i | 0.0203501 | − | 0.141538i | ||||
\(357\) | −5.23387 | − | 0.752517i | −0.277006 | − | 0.0398274i | ||||
\(358\) | 4.97343 | − | 7.73881i | 0.262854 | − | 0.409009i | ||||
\(359\) | 8.52431 | + | 9.83758i | 0.449896 | + | 0.519208i | 0.934711 | − | 0.355409i | \(-0.115658\pi\) |
−0.484815 | + | 0.874617i | \(0.661113\pi\) | |||||||
\(360\) | 1.88366 | − | 1.20491i | 0.0992778 | − | 0.0635044i | ||||
\(361\) | 4.89157 | − | 3.14362i | 0.257451 | − | 0.165454i | ||||
\(362\) | −5.00045 | + | 17.0300i | −0.262818 | + | 0.895075i | ||||
\(363\) | 5.65174 | + | 4.89726i | 0.296640 | + | 0.257040i | ||||
\(364\) | −4.86401 | + | 1.42820i | −0.254943 | + | 0.0748581i | ||||
\(365\) | −3.64831 | − | 1.07966i | −0.190961 | − | 0.0565122i | ||||
\(366\) | −0.411301 | − | 2.86066i | −0.0214990 | − | 0.149529i | ||||
\(367\) | − | 8.23529i | − | 0.429879i | −0.976627 | − | 0.214939i | \(-0.931045\pi\) | ||
0.976627 | − | 0.214939i | \(-0.0689554\pi\) | |||||||
\(368\) | −1.45026 | + | 4.57129i | −0.0756002 | + | 0.238295i | ||||
\(369\) | −7.00603 | −0.364719 | ||||||||
\(370\) | 2.78086 | + | 9.54569i | 0.144570 | + | 0.496257i | ||||
\(371\) | −4.28037 | + | 9.37271i | −0.222226 | + | 0.486607i | ||||
\(372\) | 1.53969 | + | 5.24372i | 0.0798294 | + | 0.271874i | ||||
\(373\) | 18.5068 | + | 16.0363i | 0.958248 | + | 0.830327i | 0.985565 | − | 0.169300i | \(-0.0541507\pi\) |
−0.0273165 | + | 0.999627i | \(0.508696\pi\) | |||||||
\(374\) | −7.27533 | − | 2.13623i | −0.376198 | − | 0.110462i | ||||
\(375\) | 9.36679 | + | 6.10436i | 0.483699 | + | 0.315228i | ||||
\(376\) | 2.26183 | + | 4.95271i | 0.116645 | + | 0.255417i | ||||
\(377\) | 20.6196 | − | 17.8669i | 1.06196 | − | 0.920195i | ||||
\(378\) | 0.707520 | − | 1.10092i | 0.0363909 | − | 0.0566254i | ||||
\(379\) | −1.34050 | + | 9.32340i | −0.0688570 | + | 0.478911i | 0.925992 | + | 0.377543i | \(0.123231\pi\) |
−0.994849 | + | 0.101368i | \(0.967678\pi\) | |||||||
\(380\) | −0.0236582 | + | 11.1388i | −0.00121364 | + | 0.571408i | ||||
\(381\) | 4.29244 | + | 2.75858i | 0.219908 | + | 0.141327i | ||||
\(382\) | 2.11518 | − | 1.83281i | 0.108222 | − | 0.0937749i | ||||
\(383\) | −21.3625 | + | 9.75595i | −1.09157 | + | 0.498506i | −0.878117 | − | 0.478447i | \(-0.841200\pi\) |
−0.213458 | + | 0.976952i | \(0.568473\pi\) | |||||||
\(384\) | −0.841254 | + | 0.540641i | −0.0429300 | + | 0.0275895i | ||||
\(385\) | −0.793063 | + | 5.43391i | −0.0404182 | + | 0.276938i | ||||
\(386\) | 15.0497 | − | 17.3683i | 0.766012 | − | 0.884025i | ||||
\(387\) | 0.674919 | + | 2.29856i | 0.0343080 | + | 0.116842i | ||||
\(388\) | 8.39533 | + | 3.83402i | 0.426208 | + | 0.194643i | ||||
\(389\) | −3.47628 | − | 24.1780i | −0.176254 | − | 1.22588i | −0.865336 | − | 0.501192i | \(-0.832895\pi\) |
0.689082 | − | 0.724684i | \(-0.258014\pi\) | |||||||
\(390\) | 1.21449 | + | 8.57622i | 0.0614980 | + | 0.434274i | ||||
\(391\) | −7.66697 | − | 17.7963i | −0.387735 | − | 0.899999i | ||||
\(392\) | 5.28738i | 0.267053i | ||||||||
\(393\) | 10.8213 | − | 1.55587i | 0.545863 | − | 0.0784833i | ||||
\(394\) | −7.72002 | + | 16.9045i | −0.388929 | + | 0.851636i | ||||
\(395\) | 12.7104 | − | 5.77205i | 0.639530 | − | 0.290423i | ||||
\(396\) | 1.22892 | − | 1.41825i | 0.0617555 | − | 0.0712697i | ||||
\(397\) | 2.52405 | − | 8.59614i | 0.126679 | − | 0.431428i | −0.871591 | − | 0.490234i | \(-0.836911\pi\) |
0.998269 | + | 0.0588063i | \(0.0187294\pi\) | |||||||
\(398\) | −6.72916 | − | 10.4708i | −0.337302 | − | 0.524852i | ||||
\(399\) | 2.70811 | + | 5.92993i | 0.135575 | + | 0.296868i | ||||
\(400\) | −4.19475 | − | 2.72105i | −0.209737 | − | 0.136052i | ||||
\(401\) | 9.27627 | + | 5.96150i | 0.463235 | + | 0.297703i | 0.751363 | − | 0.659889i | \(-0.229397\pi\) |
−0.288128 | + | 0.957592i | \(0.593033\pi\) | |||||||
\(402\) | 4.34717 | + | 0.625028i | 0.216817 | + | 0.0311736i | ||||
\(403\) | −20.9545 | − | 3.01280i | −1.04382 | − | 0.150078i | ||||
\(404\) | 13.4604 | + | 8.65045i | 0.669678 | + | 0.430376i | ||||
\(405\) | −1.68679 | − | 1.46790i | −0.0838174 | − | 0.0729405i | ||||
\(406\) | 3.82905 | + | 8.38445i | 0.190033 | + | 0.416113i | ||||
\(407\) | 4.51122 | + | 7.01960i | 0.223613 | + | 0.347949i | ||||
\(408\) | 1.13834 | − | 3.87684i | 0.0563564 | − | 0.191932i | ||||
\(409\) | −12.5575 | + | 14.4921i | −0.620929 | + | 0.716591i | −0.975883 | − | 0.218293i | \(-0.929951\pi\) |
0.354954 | + | 0.934884i | \(0.384497\pi\) | |||||||
\(410\) | 6.47759 | + | 14.2641i | 0.319906 | + | 0.704451i | ||||
\(411\) | 8.86492 | − | 19.4115i | 0.437274 | − | 0.957497i | ||||
\(412\) | −4.05369 | + | 0.582832i | −0.199711 | + | 0.0287141i | ||||
\(413\) | 0.289956i | 0.0142678i | ||||||||
\(414\) | 4.79471 | + | 0.103635i | 0.235647 | + | 0.00509338i | ||||
\(415\) | 0.827070 | + | 5.84043i | 0.0405993 | + | 0.286695i | ||||
\(416\) | −0.551281 | − | 3.83424i | −0.0270288 | − | 0.187989i | ||||
\(417\) | 12.1223 | + | 5.53608i | 0.593633 | + | 0.271103i | ||||
\(418\) | 2.63369 | + | 8.96954i | 0.128818 | + | 0.438715i | ||||
\(419\) | 18.5356 | − | 21.3912i | 0.905521 | − | 1.04503i | −0.0932589 | − | 0.995642i | \(-0.529728\pi\) |
0.998780 | − | 0.0493849i | \(-0.0157261\pi\) | |||||||
\(420\) | −2.89560 | − | 0.422603i | −0.141291 | − | 0.0206209i | ||||
\(421\) | 4.46858 | − | 2.87178i | 0.217785 | − | 0.139962i | −0.427200 | − | 0.904157i | \(-0.640500\pi\) |
0.644985 | + | 0.764195i | \(0.276864\pi\) | |||||||
\(422\) | 3.82950 | − | 1.74888i | 0.186417 | − | 0.0851339i | ||||
\(423\) | 4.11486 | − | 3.56555i | 0.200071 | − | 0.173363i | ||||
\(424\) | −6.62363 | − | 4.25675i | −0.321672 | − | 0.206726i | ||||
\(425\) | 20.0089 | − | 2.79015i | 0.970577 | − | 0.135342i | ||||
\(426\) | 1.57699 | − | 10.9682i | 0.0764053 | − | 0.531410i | ||||
\(427\) | −2.04479 | + | 3.18175i | −0.0989542 | + | 0.153976i | ||||
\(428\) | −5.44090 | + | 4.71457i | −0.262996 | + | 0.227887i | ||||
\(429\) | 3.01981 | + | 6.61246i | 0.145798 | + | 0.319252i | ||||
\(430\) | 4.05578 | − | 3.49930i | 0.195587 | − | 0.168751i | ||||
\(431\) | 33.1517 | + | 9.73423i | 1.59686 | + | 0.468881i | 0.954671 | − | 0.297663i | \(-0.0962070\pi\) |
0.642192 | + | 0.766544i | \(0.278025\pi\) | |||||||
\(432\) | 0.755750 | + | 0.654861i | 0.0363610 | + | 0.0315070i | ||||
\(433\) | −9.74250 | − | 33.1799i | −0.468195 | − | 1.59453i | −0.767950 | − | 0.640509i | \(-0.778723\pi\) |
0.299755 | − | 0.954016i | \(-0.403095\pi\) | |||||||
\(434\) | 2.97105 | − | 6.50569i | 0.142615 | − | 0.312283i | ||||
\(435\) | 15.1208 | − | 4.40501i | 0.724988 | − | 0.211204i | ||||
\(436\) | −11.3967 | −0.545802 | ||||||||
\(437\) | −13.3472 | + | 19.8138i | −0.638485 | + | 0.947824i | ||||
\(438\) | − | 1.70152i | − | 0.0813018i | ||||||
\(439\) | 5.65919 | + | 39.3605i | 0.270098 | + | 1.87857i | 0.447276 | + | 0.894396i | \(0.352394\pi\) |
−0.177178 | + | 0.984179i | \(0.556697\pi\) | |||||||
\(440\) | −4.02374 | − | 1.19076i | −0.191824 | − | 0.0567675i | ||||
\(441\) | 5.07321 | − | 1.48963i | 0.241581 | − | 0.0709347i | ||||
\(442\) | 11.8287 | + | 10.2496i | 0.562633 | + | 0.487525i | ||||
\(443\) | −4.23299 | + | 14.4162i | −0.201115 | + | 0.684936i | 0.795736 | + | 0.605643i | \(0.207084\pi\) |
−0.996851 | + | 0.0792923i | \(0.974734\pi\) | |||||||
\(444\) | −3.74057 | + | 2.40392i | −0.177520 | + | 0.114085i | ||||
\(445\) | 3.25084 | + | 5.08211i | 0.154105 | + | 0.240915i | ||||
\(446\) | 7.76553 | + | 8.96190i | 0.367708 | + | 0.424358i | ||||
\(447\) | 11.1681 | − | 17.3779i | 0.528234 | − | 0.821949i | ||||
\(448\) | 1.29535 | + | 0.186243i | 0.0611995 | + | 0.00879916i | ||||
\(449\) | 2.69313 | − | 18.7311i | 0.127096 | − | 0.883975i | −0.822112 | − | 0.569326i | \(-0.807204\pi\) |
0.949208 | − | 0.314649i | \(-0.101887\pi\) | |||||||
\(450\) | −1.42903 | + | 4.79144i | −0.0673651 | + | 0.225871i | ||||
\(451\) | 8.60985 | + | 9.93630i | 0.405422 | + | 0.467882i | ||||
\(452\) | 8.57124 | − | 3.91435i | 0.403157 | − | 0.184116i | ||||
\(453\) | 7.27365 | + | 11.3180i | 0.341746 | + | 0.531767i | ||||
\(454\) | −18.1273 | − | 5.32264i | −0.850755 | − | 0.249804i | ||||
\(455\) | 6.14863 | − | 9.52292i | 0.288252 | − | 0.446441i | ||||
\(456\) | −4.77964 | + | 1.40343i | −0.223827 | + | 0.0657216i | ||||
\(457\) | −21.9180 | − | 10.0096i | −1.02528 | − | 0.468229i | −0.169478 | − | 0.985534i | \(-0.554208\pi\) |
−0.855801 | + | 0.517305i | \(0.826935\pi\) | |||||||
\(458\) | −1.90309 | + | 0.273623i | −0.0889257 | + | 0.0127856i | ||||
\(459\) | −4.04051 | −0.188595 | ||||||||
\(460\) | −4.22207 | − | 9.85769i | −0.196855 | − | 0.459617i | ||||
\(461\) | −7.65334 | −0.356452 | −0.178226 | − | 0.983990i | \(-0.557036\pi\) | ||||
−0.178226 | + | 0.983990i | \(0.557036\pi\) | |||||||
\(462\) | −2.43087 | + | 0.349506i | −0.113094 | + | 0.0162605i | ||||
\(463\) | −14.1535 | − | 6.46368i | −0.657768 | − | 0.300392i | 0.0584283 | − | 0.998292i | \(-0.481391\pi\) |
−0.716196 | + | 0.697899i | \(0.754118\pi\) | |||||||
\(464\) | −6.75804 | + | 1.98434i | −0.313734 | + | 0.0921206i | ||||
\(465\) | −10.2663 | − | 6.62862i | −0.476090 | − | 0.307395i | ||||
\(466\) | −21.4873 | − | 6.30923i | −0.995378 | − | 0.292269i | ||||
\(467\) | 14.7396 | + | 22.9352i | 0.682066 | + | 1.06132i | 0.993804 | + | 0.111147i | \(0.0354525\pi\) |
−0.311738 | + | 0.950168i | \(0.600911\pi\) | |||||||
\(468\) | −3.52361 | + | 1.60918i | −0.162879 | + | 0.0743844i | ||||
\(469\) | −3.76382 | − | 4.34368i | −0.173797 | − | 0.200572i | ||||
\(470\) | −11.0638 | − | 5.08111i | −0.510337 | − | 0.234374i | ||||
\(471\) | 1.62641 | − | 11.3119i | 0.0749410 | − | 0.521226i | ||||
\(472\) | −0.219311 | − | 0.0315321i | −0.0100946 | − | 0.00145138i | ||||
\(473\) | 2.43051 | − | 3.78195i | 0.111755 | − | 0.173894i | ||||
\(474\) | 4.08825 | + | 4.71809i | 0.187780 | + | 0.216709i | ||||
\(475\) | −16.2306 | − | 18.8927i | −0.744711 | − | 0.866855i | ||||
\(476\) | −4.44829 | + | 2.85874i | −0.203887 | + | 0.131030i | ||||
\(477\) | −2.21823 | + | 7.55460i | −0.101566 | + | 0.345901i | ||||
\(478\) | −6.52874 | − | 5.65719i | −0.298618 | − | 0.258754i | ||||
\(479\) | −26.9626 | + | 7.91693i | −1.23195 | + | 0.361734i | −0.831986 | − | 0.554797i | \(-0.812796\pi\) |
−0.399965 | + | 0.916530i | \(0.630978\pi\) | |||||||
\(480\) | 0.634529 | − | 2.14415i | 0.0289621 | − | 0.0978665i | ||||
\(481\) | −2.45123 | − | 17.0487i | −0.111766 | − | 0.777352i | ||||
\(482\) | 12.1124i | 0.551706i | ||||||||
\(483\) | −4.65328 | − | 4.21155i | −0.211732 | − | 0.191632i | ||||
\(484\) | 7.47833 | 0.339924 | ||||||||
\(485\) | −19.8138 | + | 5.77219i | −0.899700 | + | 0.262102i | ||||
\(486\) | 0.415415 | − | 0.909632i | 0.0188436 | − | 0.0412617i | ||||
\(487\) | 2.68137 | + | 9.13192i | 0.121505 | + | 0.413807i | 0.997672 | − | 0.0682010i | \(-0.0217259\pi\) |
−0.876167 | + | 0.482008i | \(0.839908\pi\) | |||||||
\(488\) | −2.18417 | − | 1.89260i | −0.0988729 | − | 0.0856739i | ||||
\(489\) | 19.7473 | + | 5.79832i | 0.893002 | + | 0.262209i | ||||
\(490\) | −7.72339 | − | 8.95161i | −0.348907 | − | 0.404393i | ||||
\(491\) | −8.17911 | − | 17.9097i | −0.369118 | − | 0.808256i | −0.999489 | − | 0.0319617i | \(-0.989825\pi\) |
0.630371 | − | 0.776294i | \(-0.282903\pi\) | |||||||
\(492\) | −5.29481 | + | 4.58798i | −0.238708 | + | 0.206842i | ||||
\(493\) | 15.3859 | − | 23.9410i | 0.692948 | − | 1.07825i | ||||
\(494\) | 2.74616 | − | 19.1000i | 0.123556 | − | 0.859349i | ||||
\(495\) | −0.00891257 | + | 4.19622i | −0.000400590 | + | 0.188606i | ||||
\(496\) | 4.59753 | + | 2.95465i | 0.206435 | + | 0.132668i | ||||
\(497\) | −10.9594 | + | 9.49635i | −0.491595 | + | 0.425970i | ||||
\(498\) | −2.39959 | + | 1.09586i | −0.107528 | + | 0.0491065i | ||||
\(499\) | 23.0092 | − | 14.7871i | 1.03003 | − | 0.661961i | 0.0875296 | − | 0.996162i | \(-0.472103\pi\) |
0.942502 | + | 0.334201i | \(0.108466\pi\) | |||||||
\(500\) | 11.0765 | − | 1.52058i | 0.495354 | − | 0.0680025i | ||||
\(501\) | 12.7540 | − | 14.7189i | 0.569807 | − | 0.657592i | ||||
\(502\) | 1.50196 | + | 5.11520i | 0.0670356 | + | 0.228302i | ||||
\(503\) | 1.18400 | + | 0.540716i | 0.0527921 | + | 0.0241094i | 0.441636 | − | 0.897194i | \(-0.354398\pi\) |
−0.388844 | + | 0.921304i | \(0.627125\pi\) | |||||||
\(504\) | −0.186243 | − | 1.29535i | −0.00829593 | − | 0.0576994i | ||||
\(505\) | −35.4245 | + | 5.01650i | −1.57637 | + | 0.223231i | ||||
\(506\) | −5.74534 | − | 6.92745i | −0.255411 | − | 0.307963i | ||||
\(507\) | − | 2.00531i | − | 0.0890589i | ||||||
\(508\) | 5.05050 | − | 0.726152i | 0.224080 | − | 0.0322178i | ||||
\(509\) | 0.442221 | − | 0.968329i | 0.0196011 | − | 0.0429204i | −0.899578 | − | 0.436760i | \(-0.856126\pi\) |
0.919179 | + | 0.393839i | \(0.128853\pi\) | |||||||
\(510\) | 3.73575 | + | 8.22635i | 0.165422 | + | 0.364269i | ||||
\(511\) | −1.45820 | + | 1.68285i | −0.0645068 | + | 0.0744449i | ||||
\(512\) | −0.281733 | + | 0.959493i | −0.0124509 | + | 0.0424040i | ||||
\(513\) | 2.69316 | + | 4.19064i | 0.118906 | + | 0.185021i | ||||
\(514\) | −3.35877 | − | 7.35469i | −0.148149 | − | 0.324401i | ||||
\(515\) | 6.01160 | − | 6.90805i | 0.264903 | − | 0.304405i | ||||
\(516\) | 2.01531 | + | 1.29516i | 0.0887190 | + | 0.0570162i | ||||
\(517\) | −10.1137 | − | 1.45413i | −0.444799 | − | 0.0639524i | ||||
\(518\) | 5.75967 | + | 0.828116i | 0.253065 | + | 0.0363853i | ||||
\(519\) | 5.78726 | + | 3.71924i | 0.254032 | + | 0.163257i | ||||
\(520\) | 6.53408 | + | 5.68615i | 0.286538 | + | 0.249354i | ||||
\(521\) | 16.8684 | + | 36.9366i | 0.739017 | + | 1.61822i | 0.785164 | + | 0.619288i | \(0.212579\pi\) |
−0.0461465 | + | 0.998935i | \(0.514694\pi\) | |||||||
\(522\) | 3.80792 | + | 5.92524i | 0.166668 | + | 0.259341i | ||||
\(523\) | 2.67359 | − | 9.10541i | 0.116908 | − | 0.398152i | −0.880160 | − | 0.474678i | \(-0.842565\pi\) |
0.997068 | + | 0.0765258i | \(0.0243828\pi\) | |||||||
\(524\) | 7.15932 | − | 8.26230i | 0.312757 | − | 0.360940i | ||||
\(525\) | 5.51959 | − | 3.51419i | 0.240895 | − | 0.153372i | ||||
\(526\) | 8.79111 | − | 19.2498i | 0.383310 | − | 0.839333i | ||||
\(527\) | −21.8570 | + | 3.14256i | −0.952106 | + | 0.136892i | ||||
\(528\) | − | 1.87661i | − | 0.0816691i | ||||||
\(529\) | 4.25387 | − | 22.6032i | 0.184951 | − | 0.982748i | ||||
\(530\) | 17.4318 | − | 2.46854i | 0.757190 | − | 0.107227i | ||||
\(531\) | 0.0315321 | + | 0.219311i | 0.00136838 | + | 0.00951727i | ||||
\(532\) | 5.92993 | + | 2.70811i | 0.257095 | + | 0.117411i | ||||
\(533\) | −7.64595 | − | 26.0397i | −0.331183 | − | 1.12791i | ||||
\(534\) | −1.76681 | + | 2.03901i | −0.0764574 | + | 0.0882365i | ||||
\(535\) | 2.32485 | − | 15.9295i | 0.100512 | − | 0.688691i | ||||
\(536\) | 3.69468 | − | 2.37442i | 0.159586 | − | 0.102560i | ||||
\(537\) | −8.36783 | + | 3.82146i | −0.361099 | + | 0.164908i | ||||
\(538\) | −23.0068 | + | 19.9355i | −0.991892 | + | 0.859480i | ||||
\(539\) | −8.34723 | − | 5.36444i | −0.359541 | − | 0.231063i | ||||
\(540\) | −2.23606 | − | 0.00474929i | −0.0962248 | − | 0.000204377i | ||||
\(541\) | −5.65281 | + | 39.3161i | −0.243033 | + | 1.69033i | 0.393692 | + | 0.919242i | \(0.371197\pi\) |
−0.636726 | + | 0.771090i | \(0.719712\pi\) | |||||||
\(542\) | 13.1530 | − | 20.4664i | 0.564968 | − | 0.879107i | ||||
\(543\) | 13.4137 | − | 11.6231i | 0.575639 | − | 0.498794i | ||||
\(544\) | −1.67849 | − | 3.67538i | −0.0719646 | − | 0.157580i | ||||
\(545\) | 19.2947 | − | 16.6474i | 0.826495 | − | 0.713094i | ||||
\(546\) | 4.86401 | + | 1.42820i | 0.208160 | + | 0.0611214i | ||||
\(547\) | 19.5236 | + | 16.9173i | 0.834769 | + | 0.723331i | 0.963315 | − | 0.268372i | \(-0.0864857\pi\) |
−0.128546 | + | 0.991703i | \(0.541031\pi\) | |||||||
\(548\) | −6.01215 | − | 20.4755i | −0.256826 | − | 0.874670i | ||||
\(549\) | −1.20058 | + | 2.62891i | −0.0512396 | + | 0.112199i | ||||
\(550\) | 8.55161 | − | 3.86157i | 0.364642 | − | 0.164658i | ||||
\(551\) | −35.0859 | −1.49471 | ||||||||
\(552\) | 3.69147 | − | 3.06155i | 0.157119 | − | 0.130308i | ||||
\(553\) | − | 8.16993i | − | 0.347421i | ||||||
\(554\) | −2.21352 | − | 15.3954i | −0.0940436 | − | 0.654087i | ||||
\(555\) | 2.82138 | − | 9.53379i | 0.119761 | − | 0.404687i | ||||
\(556\) | 12.7868 | − | 3.75454i | 0.542281 | − | 0.159228i | ||||
\(557\) | −0.217582 | − | 0.188536i | −0.00921925 | − | 0.00798853i | 0.650239 | − | 0.759730i | \(-0.274669\pi\) |
−0.659458 | + | 0.751741i | \(0.729214\pi\) | |||||||
\(558\) | 1.53969 | − | 5.24372i | 0.0651804 | − | 0.221984i | ||||
\(559\) | −7.80663 | + | 5.01702i | −0.330185 | + | 0.212197i | ||||
\(560\) | −2.46509 | + | 1.57683i | −0.104169 | + | 0.0666333i | ||||
\(561\) | 4.96546 | + | 5.73045i | 0.209642 | + | 0.241940i | ||||
\(562\) | −0.436823 | + | 0.679710i | −0.0184263 | + | 0.0286718i | ||||
\(563\) | 13.5221 | + | 1.94418i | 0.569887 | + | 0.0819374i | 0.421234 | − | 0.906952i | \(-0.361597\pi\) |
0.148653 | + | 0.988889i | \(0.452506\pi\) | |||||||
\(564\) | 0.774868 | − | 5.38932i | 0.0326278 | − | 0.226931i | ||||
\(565\) | −8.79345 | + | 19.1472i | −0.369943 | + | 0.805530i | ||||
\(566\) | 15.8333 | + | 18.2726i | 0.665523 | + | 0.768054i | ||||
\(567\) | −1.19041 | + | 0.543641i | −0.0499924 | + | 0.0228308i | ||||
\(568\) | −5.99083 | − | 9.32191i | −0.251369 | − | 0.391139i | ||||
\(569\) | −26.7272 | − | 7.84781i | −1.12046 | − | 0.328997i | −0.331510 | − | 0.943452i | \(-0.607558\pi\) |
−0.788952 | + | 0.614454i | \(0.789376\pi\) | |||||||
\(570\) | 6.04198 | − | 9.35775i | 0.253071 | − | 0.391953i | ||||
\(571\) | −8.29336 | + | 2.43515i | −0.347066 | + | 0.101908i | −0.450620 | − | 0.892716i | \(-0.648797\pi\) |
0.103553 | + | 0.994624i | \(0.466979\pi\) | |||||||
\(572\) | 6.61246 | + | 3.01981i | 0.276481 | + | 0.126264i | ||||
\(573\) | −2.77030 | + | 0.398308i | −0.115731 | + | 0.0166396i | ||||
\(574\) | 9.16858 | 0.382689 | ||||||||
\(575\) | 21.5474 | + | 10.5220i | 0.898587 | + | 0.438796i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 32.6017 | − | 4.68742i | 1.35723 | − | 0.195140i | 0.575010 | − | 0.818146i | \(-0.304998\pi\) |
0.782216 | + | 0.623007i | \(0.214089\pi\) | |||||||
\(578\) | −0.613348 | − | 0.280106i | −0.0255119 | − | 0.0116509i | ||||
\(579\) | −22.0507 | + | 6.47466i | −0.916395 | + | 0.269078i | ||||
\(580\) | 8.54289 | − | 13.2311i | 0.354724 | − | 0.549392i | ||||
\(581\) | 3.31240 | + | 0.972609i | 0.137422 | + | 0.0403506i | ||||
\(582\) | −4.98978 | − | 7.76424i | −0.206833 | − | 0.321838i | ||||
\(583\) | 13.4403 | − | 6.13799i | 0.556641 | − | 0.254210i | ||||
\(584\) | −1.11426 | − | 1.28592i | −0.0461084 | − | 0.0532119i | ||||
\(585\) | 3.61496 | − | 7.87138i | 0.149460 | − | 0.325441i | ||||
\(586\) | −3.25198 | + | 22.6180i | −0.134338 | + | 0.934342i | ||||
\(587\) | −18.2251 | − | 2.62038i | −0.752232 | − | 0.108155i | −0.244476 | − | 0.969655i | \(-0.578616\pi\) |
−0.507756 | + | 0.861501i | \(0.669525\pi\) | |||||||
\(588\) | 2.85858 | − | 4.44803i | 0.117886 | − | 0.183434i | ||||
\(589\) | 17.8279 | + | 20.5745i | 0.734586 | + | 0.847757i | ||||
\(590\) | 0.417355 | − | 0.266967i | 0.0171822 | − | 0.0109909i | ||||
\(591\) | 15.6338 | − | 10.0472i | 0.643087 | − | 0.413287i | ||||
\(592\) | −1.25270 | + | 4.26631i | −0.0514857 | + | 0.175344i | ||||
\(593\) | −10.6743 | − | 9.24933i | −0.438341 | − | 0.379824i | 0.407548 | − | 0.913184i | \(-0.366384\pi\) |
−0.845889 | + | 0.533359i | \(0.820929\pi\) | |||||||
\(594\) | −1.80060 | + | 0.528703i | −0.0738794 | + | 0.0216929i | ||||
\(595\) | 3.35519 | − | 11.3376i | 0.137549 | − | 0.464796i | ||||
\(596\) | −2.93983 | − | 20.4469i | −0.120420 | − | 0.837540i | ||||
\(597\) | 12.4466i | 0.509407i | ||||||||
\(598\) | 4.84747 | + | 17.9339i | 0.198228 | + | 0.733371i | ||||
\(599\) | 28.0843 | 1.14749 | 0.573746 | − | 0.819033i | \(-0.305490\pi\) | ||||
0.573746 | + | 0.819033i | \(0.305490\pi\) | |||||||
\(600\) | 2.05774 | + | 4.55694i | 0.0840067 | + | 0.186036i | ||||
\(601\) | −12.3921 | + | 27.1349i | −0.505483 | + | 1.10685i | 0.469165 | + | 0.883111i | \(0.344555\pi\) |
−0.974648 | + | 0.223744i | \(0.928172\pi\) | |||||||
\(602\) | −0.883246 | − | 3.00806i | −0.0359984 | − | 0.122599i | ||||
\(603\) | −3.31915 | − | 2.87606i | −0.135166 | − | 0.117122i | ||||
\(604\) | 12.9088 | + | 3.79036i | 0.525251 | + | 0.154228i | ||||
\(605\) | −12.6609 | + | 10.9237i | −0.514739 | + | 0.444113i | ||||
\(606\) | −6.64679 | − | 14.5544i | −0.270007 | − | 0.591234i | ||||
\(607\) | 15.6301 | − | 13.5435i | 0.634406 | − | 0.549716i | −0.277184 | − | 0.960817i | \(-0.589401\pi\) |
0.911590 | + | 0.411101i | \(0.134856\pi\) | |||||||
\(608\) | −2.69316 | + | 4.19064i | −0.109222 | + | 0.169953i | ||||
\(609\) | 1.31177 | − | 9.12359i | 0.0531558 | − | 0.369707i | ||||
\(610\) | 6.46239 | + | 0.0137258i | 0.261655 | + | 0.000555741i | ||||
\(611\) | 17.7430 | + | 11.4027i | 0.717805 | + | 0.461305i | ||||
\(612\) | −3.05361 | + | 2.64597i | −0.123435 | + | 0.106957i | ||||
\(613\) | 9.53191 | − | 4.35308i | 0.384990 | − | 0.175819i | −0.213512 | − | 0.976940i | \(-0.568490\pi\) |
0.598502 | + | 0.801121i | \(0.295763\pi\) | |||||||
\(614\) | 23.7029 | − | 15.2329i | 0.956569 | − | 0.614750i | ||||
\(615\) | 2.26243 | − | 15.5017i | 0.0912299 | − | 0.625090i | ||||
\(616\) | −1.60825 | + | 1.85602i | −0.0647982 | + | 0.0747811i | ||||
\(617\) | −7.24130 | − | 24.6616i | −0.291524 | − | 0.992839i | −0.966855 | − | 0.255325i | \(-0.917818\pi\) |
0.675332 | − | 0.737514i | \(-0.264001\pi\) | |||||||
\(618\) | 3.72528 | + | 1.70128i | 0.149853 | + | 0.0684355i | ||||
\(619\) | 2.50089 | + | 17.3941i | 0.100519 | + | 0.699126i | 0.976301 | + | 0.216418i | \(0.0694375\pi\) |
−0.875782 | + | 0.482708i | \(0.839653\pi\) | |||||||
\(620\) | −12.0996 | + | 1.71344i | −0.485931 | + | 0.0688133i | ||||
\(621\) | −3.97754 | − | 2.67940i | −0.159613 | − | 0.107521i | ||||
\(622\) | − | 28.9134i | − | 1.15932i | ||||||
\(623\) | 3.49484 | − | 0.502483i | 0.140018 | − | 0.0201315i | ||||
\(624\) | −1.60918 | + | 3.52361i | −0.0644188 | + | 0.141057i | ||||
\(625\) | −16.5314 | + | 18.7540i | −0.661258 | + | 0.750159i | ||||
\(626\) | −1.40172 | + | 1.61767i | −0.0560241 | + | 0.0646552i | ||||
\(627\) | 2.63369 | − | 8.96954i | 0.105180 | − | 0.358209i | ||||
\(628\) | −6.17858 | − | 9.61406i | −0.246552 | − | 0.383643i | ||||
\(629\) | −7.46327 | − | 16.3423i | −0.297580 | − | 0.651609i | ||||
\(630\) | 2.20746 | + | 1.92099i | 0.0879471 | + | 0.0765343i | ||||
\(631\) | −25.9026 | − | 16.6466i | −1.03117 | − | 0.662691i | −0.0883802 | − | 0.996087i | \(-0.528169\pi\) |
−0.942787 | + | 0.333396i | \(0.891805\pi\) | |||||||
\(632\) | 6.17939 | + | 0.888461i | 0.245803 | + | 0.0353411i | ||||
\(633\) | −4.16710 | − | 0.599138i | −0.165627 | − | 0.0238136i | ||||
\(634\) | −0.426910 | − | 0.274358i | −0.0169548 | − | 0.0108962i | ||||
\(635\) | −7.48986 | + | 8.60675i | −0.297226 | + | 0.341549i | ||||
\(636\) | 3.27078 | + | 7.16201i | 0.129695 | + | 0.283992i | ||||
\(637\) | 11.0732 | + | 17.2302i | 0.438735 | + | 0.682685i | ||||
\(638\) | 3.72384 | − | 12.6822i | 0.147428 | − | 0.502094i | ||||
\(639\) | −7.25649 | + | 8.37444i | −0.287062 | + | 0.331288i | ||||
\(640\) | −0.924574 | − | 2.03597i | −0.0365470 | − | 0.0804787i | ||||
\(641\) | −7.21248 | + | 15.7931i | −0.284876 | + | 0.623791i | −0.996927 | − | 0.0783364i | \(-0.975039\pi\) |
0.712051 | + | 0.702128i | \(0.247766\pi\) | |||||||
\(642\) | 7.12607 | − | 1.02457i | 0.281243 | − | 0.0404367i | ||||
\(643\) | − | 14.6337i | − | 0.577098i | −0.957465 | − | 0.288549i | \(-0.906827\pi\) | ||
0.957465 | − | 0.288549i | \(-0.0931729\pi\) | |||||||
\(644\) | −6.27469 | − | 0.135624i | −0.247258 | − | 0.00534433i | ||||
\(645\) | −5.30381 | + | 0.751078i | −0.208837 | + | 0.0295737i | ||||
\(646\) | −2.86444 | − | 19.9226i | −0.112700 | − | 0.783846i | ||||
\(647\) | −15.2424 | − | 6.96097i | −0.599240 | − | 0.273664i | 0.0926127 | − | 0.995702i | \(-0.470478\pi\) |
−0.691853 | + | 0.722038i | \(0.743205\pi\) | |||||||
\(648\) | −0.281733 | − | 0.959493i | −0.0110675 | − | 0.0376924i | ||||
\(649\) | 0.272287 | − | 0.314235i | 0.0106882 | − | 0.0123348i | ||||
\(650\) | −19.3682 | − | 0.0822744i | −0.759682 | − | 0.00322707i | ||||
\(651\) | −6.01664 | + | 3.86666i | −0.235811 | + | 0.151546i | ||||
\(652\) | 18.7211 | − | 8.54963i | 0.733174 | − | 0.334829i | ||||
\(653\) | 22.9723 | − | 19.9056i | 0.898977 | − | 0.778968i | −0.0769569 | − | 0.997034i | \(-0.524520\pi\) |
0.975934 | + | 0.218066i | \(0.0699749\pi\) | |||||||
\(654\) | 9.58749 | + | 6.16151i | 0.374901 | + | 0.240934i | ||||
\(655\) | −0.0519220 | + | 24.4460i | −0.00202876 | + | 0.955183i | ||||
\(656\) | −0.997062 | + | 6.93472i | −0.0389287 | + | 0.270755i | ||||
\(657\) | −0.919912 | + | 1.43141i | −0.0358892 | + | 0.0558446i | ||||
\(658\) | −5.38500 | + | 4.66613i | −0.209929 | + | 0.181905i | ||||
\(659\) | −7.57130 | − | 16.5788i | −0.294936 | − | 0.645820i | 0.702920 | − | 0.711269i | \(-0.251879\pi\) |
−0.997856 | + | 0.0654493i | \(0.979152\pi\) | |||||||
\(660\) | 2.74121 | + | 3.17713i | 0.106701 | + | 0.123670i | ||||
\(661\) | 26.8201 | + | 7.87508i | 1.04318 | + | 0.306305i | 0.758058 | − | 0.652187i | \(-0.226148\pi\) |
0.285121 | + | 0.958492i | \(0.407966\pi\) | |||||||
\(662\) | −0.688166 | − | 0.596299i | −0.0267463 | − | 0.0231758i | ||||
\(663\) | −4.40956 | − | 15.0176i | −0.171253 | − | 0.583235i | ||||
\(664\) | −1.09586 | + | 2.39959i | −0.0425275 | + | 0.0931222i | ||||
\(665\) | −13.9952 | + | 4.07711i | −0.542712 | + | 0.158103i | ||||
\(666\) | 4.44642 | 0.172295 | ||||||||
\(667\) | 31.0222 | − | 13.3649i | 1.20119 | − | 0.517492i | ||||
\(668\) | − | 19.4759i | − | 0.753545i | ||||||
\(669\) | −1.68761 | − | 11.7376i | −0.0652468 | − | 0.453801i | ||||
\(670\) | −2.78677 | + | 9.41683i | −0.107662 | + | 0.363804i | ||||
\(671\) | 5.20386 | − | 1.52799i | 0.200893 | − | 0.0589875i | ||||
\(672\) | −0.989026 | − | 0.856996i | −0.0381525 | − | 0.0330593i | ||||
\(673\) | 5.28083 | − | 17.9848i | 0.203561 | − | 0.693265i | −0.792911 | − | 0.609337i | \(-0.791435\pi\) |
0.996472 | − | 0.0839272i | \(-0.0267463\pi\) | |||||||
\(674\) | 9.81920 | − | 6.31042i | 0.378221 | − | 0.243068i | ||||
\(675\) | 3.79262 | − | 3.25822i | 0.145978 | − | 0.125409i | ||||
\(676\) | −1.31320 | − | 1.51551i | −0.0505076 | − | 0.0582889i | ||||
\(677\) | 16.6069 | − | 25.8408i | 0.638254 | − | 0.993142i | −0.359935 | − | 0.932977i | \(-0.617201\pi\) |
0.998188 | − | 0.0601645i | \(-0.0191625\pi\) | |||||||
\(678\) | −9.32685 | − | 1.34100i | −0.358195 | − | 0.0515007i | ||||
\(679\) | −1.71891 | + | 11.9553i | −0.0659656 | + | 0.458801i | ||||
\(680\) | 8.21040 | + | 3.77066i | 0.314855 | + | 0.144598i | ||||
\(681\) | 12.3720 | + | 14.2780i | 0.474096 | + | 0.547135i | ||||
\(682\) | −9.32906 | + | 4.26044i | −0.357228 | + | 0.163141i | ||||
\(683\) | −17.2057 | − | 26.7726i | −0.658358 | − | 1.02443i | −0.996521 | − | 0.0833376i | \(-0.973442\pi\) |
0.338163 | − | 0.941087i | \(-0.390194\pi\) | |||||||
\(684\) | 4.77964 | + | 1.40343i | 0.182754 | + | 0.0536615i | ||||
\(685\) | 40.0876 | + | 25.8832i | 1.53167 | + | 0.988947i | ||||
\(686\) | −15.4288 | + | 4.53029i | −0.589073 | + | 0.172967i | ||||
\(687\) | 1.74891 | + | 0.798703i | 0.0667253 | + | 0.0304724i | ||||
\(688\) | 2.37122 | − | 0.340930i | 0.0904018 | − | 0.0129978i | ||||
\(689\) | −30.4994 | −1.16194 | ||||||||
\(690\) | −1.77764 | + | 10.5754i | −0.0676737 | + | 0.402600i | ||||
\(691\) | 27.6969 | 1.05364 | 0.526820 | − | 0.849977i | \(-0.323384\pi\) | ||||
0.526820 | + | 0.849977i | \(0.323384\pi\) | |||||||
\(692\) | 6.80930 | − | 0.979030i | 0.258851 | − | 0.0372171i | ||||
\(693\) | 2.23393 | + | 1.02020i | 0.0848601 | + | 0.0387543i | ||||
\(694\) | 5.02471 | − | 1.47539i | 0.190735 | − | 0.0560050i | ||||
\(695\) | −16.1639 | + | 25.0344i | −0.613131 | + | 0.949610i | ||||
\(696\) | 6.75804 | + | 1.98434i | 0.256163 | + | 0.0752162i | ||||
\(697\) | −15.3044 | − | 23.8142i | −0.579697 | − | 0.902025i | ||||
\(698\) | 29.9126 | − | 13.6606i | 1.13221 | − | 0.517063i | ||||
\(699\) | 14.6652 | + | 16.9245i | 0.554689 | + | 0.640145i | ||||
\(700\) | 1.87013 | − | 6.27041i | 0.0706842 | − | 0.236999i | ||||
\(701\) | −4.28279 | + | 29.7875i | −0.161759 | + | 1.12506i | 0.733558 | + | 0.679627i | \(0.237858\pi\) |
−0.895317 | + | 0.445430i | \(0.853051\pi\) | |||||||
\(702\) | 3.83424 | + | 0.551281i | 0.144714 | + | 0.0208067i | ||||
\(703\) | −11.9749 | + | 18.6334i | −0.451643 | + | 0.702771i | ||||
\(704\) | −1.22892 | − | 1.41825i | −0.0463167 | − | 0.0534523i | ||||
\(705\) | 6.56043 | + | 10.2561i | 0.247080 | + | 0.386266i | ||||
\(706\) | 18.3631 | − | 11.8013i | 0.691105 | − | 0.444146i | ||||
\(707\) | −5.89925 | + | 20.0910i | −0.221864 | + | 0.755600i | ||||
\(708\) | 0.167448 | + | 0.145095i | 0.00629309 | + | 0.00545299i | ||||
\(709\) | −44.7943 | + | 13.1528i | −1.68229 | + | 0.493964i | −0.976691 | − | 0.214650i | \(-0.931139\pi\) |
−0.705596 | + | 0.708614i | \(0.749321\pi\) | |||||||
\(710\) | 23.7593 | + | 7.03119i | 0.891669 | + | 0.263876i | ||||
\(711\) | −0.888461 | − | 6.17939i | −0.0333199 | − | 0.231745i | ||||
\(712\) | 2.69799i | 0.101112i | ||||||||
\(713\) | −23.6003 | − | 11.4005i | −0.883838 | − | 0.426953i | ||||
\(714\) | 5.28769 | 0.197887 | ||||||||
\(715\) | −15.6061 | + | 4.54637i | −0.583634 | + | 0.170025i | ||||
\(716\) | −3.82146 | + | 8.36783i | −0.142815 | + | 0.312721i | ||||
\(717\) | 2.43382 | + | 8.28884i | 0.0908927 | + | 0.309552i | ||||
\(718\) | −9.83758 | − | 8.52431i | −0.367135 | − | 0.318125i | ||||
\(719\) | 50.4942 | + | 14.8264i | 1.88312 | + | 0.552933i | 0.995776 | + | 0.0918152i | \(0.0292669\pi\) |
0.887339 | + | 0.461117i | \(0.152551\pi\) | |||||||
\(720\) | −1.69301 | + | 1.46072i | −0.0630949 | + | 0.0544378i | ||||
\(721\) | −2.22641 | − | 4.87516i | −0.0829160 | − | 0.181561i | ||||
\(722\) | −4.39439 | + | 3.80776i | −0.163542 | + | 0.141710i | ||||
\(723\) | 6.54847 | − | 10.1896i | 0.243540 | − | 0.378956i | ||||
\(724\) | 2.52593 | − | 17.5683i | 0.0938756 | − | 0.652919i | ||||
\(725\) | 4.86374 | + | 34.8792i | 0.180635 | + | 1.29538i | ||||
\(726\) | −6.29117 | − | 4.04309i | −0.233487 | − | 0.150053i | ||||
\(727\) | 21.0712 | − | 18.2583i | 0.781488 | − | 0.677163i | −0.169796 | − | 0.985479i | \(-0.554311\pi\) |
0.951284 | + | 0.308316i | \(0.0997655\pi\) | |||||||
\(728\) | 4.61125 | − | 2.10589i | 0.170904 | − | 0.0780493i | ||||
\(729\) | −0.841254 | + | 0.540641i | −0.0311575 | + | 0.0200237i | ||||
\(730\) | 3.76483 | + | 0.549465i | 0.139343 | + | 0.0203366i | ||||
\(731\) | −6.33869 | + | 7.31524i | −0.234445 | + | 0.270564i | ||||
\(732\) | 0.814229 | + | 2.77301i | 0.0300948 | + | 0.102493i | ||||
\(733\) | −13.5523 | − | 6.18913i | −0.500565 | − | 0.228601i | 0.149098 | − | 0.988822i | \(-0.452363\pi\) |
−0.649664 | + | 0.760222i | \(0.725090\pi\) | |||||||
\(734\) | 1.17200 | + | 8.15147i | 0.0432595 | + | 0.300876i | ||||
\(735\) | 1.65772 | + | 11.7062i | 0.0611460 | + | 0.431788i | ||||
\(736\) | 0.784939 | − | 4.73116i | 0.0289332 | − | 0.174393i | ||||
\(737\) | 8.24184i | 0.303592i | ||||||||
\(738\) | 6.93472 | − | 0.997062i | 0.255271 | − | 0.0367024i | ||||
\(739\) | 1.61734 | − | 3.54149i | 0.0594949 | − | 0.130276i | −0.877549 | − | 0.479486i | \(-0.840823\pi\) |
0.937044 | + | 0.349211i | \(0.113550\pi\) | |||||||
\(740\) | −4.11105 | − | 9.05277i | −0.151125 | − | 0.332787i | ||||
\(741\) | −12.6365 | + | 14.5832i | −0.464212 | + | 0.535729i | ||||
\(742\) | 2.90293 | − | 9.88647i | 0.106570 | − | 0.362944i | ||||
\(743\) | 26.1616 | + | 40.7082i | 0.959775 | + | 1.49344i | 0.867337 | + | 0.497721i | \(0.165830\pi\) |
0.0924384 | + | 0.995718i | \(0.470534\pi\) | |||||||
\(744\) | −2.27028 | − | 4.97122i | −0.0832325 | − | 0.182254i | ||||
\(745\) | 34.8444 | + | 30.3227i | 1.27660 | + | 1.11094i | ||||
\(746\) | −20.6007 | − | 13.2392i | −0.754244 | − | 0.484723i | ||||
\(747\) | 2.61113 | + | 0.375424i | 0.0955362 | + | 0.0137360i | ||||
\(748\) | 7.50529 | + | 1.07910i | 0.274421 | + | 0.0394557i | ||||
\(749\) | −7.92592 | − | 5.09368i | −0.289607 | − | 0.186119i | ||||
\(750\) | −10.1402 | − | 4.70919i | −0.370268 | − | 0.171955i | ||||
\(751\) | −1.16728 | − | 2.55598i | −0.0425945 | − | 0.0932689i | 0.887139 | − | 0.461503i | \(-0.152690\pi\) |
−0.929733 | + | 0.368234i | \(0.879962\pi\) | |||||||
\(752\) | −2.94365 | − | 4.58041i | −0.107344 | − | 0.167030i | ||||
\(753\) | 1.50196 | − | 5.11520i | 0.0547344 | − | 0.186408i | ||||
\(754\) | −17.8669 | + | 20.6196i | −0.650676 | + | 0.750920i | ||||
\(755\) | −27.3914 | + | 12.4390i | −0.996876 | + | 0.452701i | ||||
\(756\) | −0.543641 | + | 1.19041i | −0.0197720 | + | 0.0432947i | ||||
\(757\) | −21.2318 | + | 3.05267i | −0.771683 | + | 0.110951i | −0.516898 | − | 0.856047i | \(-0.672914\pi\) |
−0.254784 | + | 0.966998i | \(0.582004\pi\) | |||||||
\(758\) | − | 9.41928i | − | 0.342124i | ||||||
\(759\) | 1.08802 | + | 8.93391i | 0.0394926 | + | 0.324280i | ||||
\(760\) | −1.56180 | − | 11.0288i | −0.0566523 | − | 0.400056i | ||||
\(761\) | −2.68025 | − | 18.6416i | −0.0971591 | − | 0.675756i | −0.978948 | − | 0.204111i | \(-0.934570\pi\) |
0.881789 | − | 0.471645i | \(-0.156340\pi\) | |||||||
\(762\) | −4.64134 | − | 2.11963i | −0.168138 | − | 0.0767860i | ||||
\(763\) | −4.20189 | − | 14.3103i | −0.152119 | − | 0.518069i | ||||
\(764\) | −1.83281 | + | 2.11518i | −0.0663089 | + | 0.0765245i | ||||
\(765\) | 1.30479 | − | 8.94014i | 0.0471746 | − | 0.323231i | ||||
\(766\) | 19.7567 | − | 12.6969i | 0.713838 | − | 0.458756i | ||||
\(767\) | −0.780712 | + | 0.356539i | −0.0281899 | + | 0.0128739i | ||||
\(768\) | 0.755750 | − | 0.654861i | 0.0272708 | − | 0.0236303i | ||||
\(769\) | −25.9376 | − | 16.6691i | −0.935333 | − | 0.601102i | −0.0182653 | − | 0.999833i | \(-0.505814\pi\) |
−0.917068 | + | 0.398731i | \(0.869451\pi\) | |||||||
\(770\) | 0.0116636 | − | 5.49147i | 0.000420327 | − | 0.197899i | ||||
\(771\) | −1.15066 | + | 8.00305i | −0.0414402 | + | 0.288223i | ||||
\(772\) | −12.4248 | + | 19.3333i | −0.447178 | + | 0.695822i | ||||
\(773\) | 10.7621 | − | 9.32545i | 0.387087 | − | 0.335413i | −0.439479 | − | 0.898253i | \(-0.644837\pi\) |
0.826566 | + | 0.562840i | \(0.190291\pi\) | |||||||
\(774\) | −0.995168 | − | 2.17912i | −0.0357706 | − | 0.0783267i | ||||
\(775\) | 17.9819 | − | 20.5750i | 0.645930 | − | 0.739076i | ||||
\(776\) | −8.85552 | − | 2.60022i | −0.317895 | − | 0.0933423i | ||||
\(777\) | −4.39763 | − | 3.81057i | −0.157764 | − | 0.136703i | ||||
\(778\) | 6.88179 | + | 23.4372i | 0.246724 | + | 0.840265i | ||||
\(779\) | −14.4980 | + | 31.7462i | −0.519445 | + | 1.13743i | ||||
\(780\) | −2.42265 | − | 8.31609i | −0.0867448 | − | 0.297764i | ||||
\(781\) | 20.7947 | 0.744092 | ||||||||
\(782\) | 10.1216 | + | 16.5241i | 0.361948 | + | 0.590899i | ||||
\(783\) | − | 7.04334i | − | 0.251709i | ||||||
\(784\) | −0.752473 | − | 5.23357i | −0.0268740 | − | 0.186913i | ||||
\(785\) | 24.5039 | + | 7.25155i | 0.874581 | + | 0.258819i | ||||
\(786\) | −10.4897 | + | 3.08007i | −0.374157 | + | 0.109862i | ||||
\(787\) | −11.9881 | − | 10.3877i | −0.427329 | − | 0.370282i | 0.414480 | − | 0.910058i | \(-0.363963\pi\) |
−0.841809 | + | 0.539776i | \(0.818509\pi\) | |||||||
\(788\) | 5.23568 | − | 17.8311i | 0.186514 | − | 0.635207i | ||||
\(789\) | −17.8028 | + | 11.4412i | −0.633796 | + | 0.407316i | ||||
\(790\) | −11.7596 | + | 7.52218i | −0.418387 | + | 0.267627i | ||||
\(791\) | 8.07527 | + | 9.31935i | 0.287123 | + | 0.331358i | ||||
\(792\) | −1.01457 | + | 1.57871i | −0.0360513 | + | 0.0560969i | ||||
\(793\) | −11.0812 | − | 1.59324i | −0.393507 | − | 0.0565777i | ||||
\(794\) | −1.27500 | + | 8.86785i | −0.0452482 | + | 0.314708i | ||||
\(795\) | −15.9992 | − | 7.34769i | −0.567432 | − | 0.260596i | ||||
\(796\) | 8.15081 | + | 9.40654i | 0.288898 | + | 0.333406i | ||||
\(797\) | −25.8954 | + | 11.8261i | −0.917264 | + | 0.418900i | −0.817380 | − | 0.576099i | \(-0.804574\pi\) |
−0.0998836 | + | 0.994999i | \(0.531847\pi\) | |||||||
\(798\) | −3.52446 | − | 5.48417i | −0.124765 | − | 0.194137i | ||||
\(799\) | 21.1084 | + | 6.19799i | 0.746762 | + | 0.219269i | ||||
\(800\) | 4.53930 | + | 2.09638i | 0.160488 | + | 0.0741181i | ||||
\(801\) | 2.58871 | − | 0.760113i | 0.0914674 | − | 0.0268573i | ||||
\(802\) | −10.0303 | − | 4.58067i | −0.354181 | − | 0.161749i | ||||
\(803\) | 3.16059 | − | 0.454425i | 0.111535 | − | 0.0160363i | ||||
\(804\) | −4.39187 | −0.154889 | ||||||||
\(805\) | 10.8213 | − | 8.93596i | 0.381399 | − | 0.314951i | ||||
\(806\) | 21.1700 | 0.745680 | ||||||||
\(807\) | 30.1325 | − | 4.33239i | 1.06071 | − | 0.152507i | ||||
\(808\) | −14.5544 | − | 6.64679i | −0.512023 | − | 0.233833i | ||||
\(809\) | −9.51360 | + | 2.79345i | −0.334480 | + | 0.0982123i | −0.444660 | − | 0.895699i | \(-0.646676\pi\) |
0.110180 | + | 0.993912i | \(0.464857\pi\) | |||||||
\(810\) | 1.87853 | + | 1.21290i | 0.0660048 | + | 0.0426170i | ||||
\(811\) | −46.5132 | − | 13.6575i | −1.63330 | − | 0.479580i | −0.668751 | − | 0.743486i | \(-0.733171\pi\) |
−0.964548 | + | 0.263906i | \(0.914989\pi\) | |||||||
\(812\) | −4.98331 | − | 7.75418i | −0.174880 | − | 0.272118i | ||||
\(813\) | −22.1299 | + | 10.1064i | −0.776131 | + | 0.354447i | ||||
\(814\) | −5.46430 | − | 6.30614i | −0.191524 | − | 0.221030i | ||||
\(815\) | −19.2064 | + | 41.8209i | −0.672772 | + | 1.46492i | ||||
\(816\) | −0.575024 | + | 3.99938i | −0.0201299 | + | 0.140006i | ||||
\(817\) | 11.8120 | + | 1.69832i | 0.413251 | + | 0.0594165i | ||||
\(818\) | 10.3673 | − | 16.1318i | 0.362482 | − | 0.564034i | ||||
\(819\) | −3.31972 | − | 3.83116i | −0.116000 | − | 0.133872i | ||||
\(820\) | −8.44165 | − | 13.1970i | −0.294795 | − | 0.460859i | ||||
\(821\) | −1.27277 | + | 0.817962i | −0.0444201 | + | 0.0285471i | −0.562662 | − | 0.826687i | \(-0.690223\pi\) |
0.518242 | + | 0.855234i | \(0.326587\pi\) | |||||||
\(822\) | −6.01215 | + | 20.4755i | −0.209698 | + | 0.714165i | ||||
\(823\) | −36.8864 | − | 31.9622i | −1.28578 | − | 1.11413i | −0.987156 | − | 0.159762i | \(-0.948927\pi\) |
−0.298622 | − | 0.954371i | \(-0.596527\pi\) | |||||||
\(824\) | 3.92948 | − | 1.15380i | 0.136890 | − | 0.0401945i | ||||
\(825\) | −9.28180 | − | 1.37479i | −0.323151 | − | 0.0478640i | ||||
\(826\) | −0.0412651 | − | 0.287005i | −0.00143580 | − | 0.00998618i | ||||
\(827\) | − | 16.1541i | − | 0.561735i | −0.959747 | − | 0.280867i | \(-0.909378\pi\) | ||
0.959747 | − | 0.280867i | \(-0.0906221\pi\) | |||||||
\(828\) | −4.76066 | + | 0.579778i | −0.165444 | + | 0.0201487i | ||||
\(829\) | 42.6759 | 1.48220 | 0.741098 | − | 0.671396i | \(-0.234305\pi\) | ||||
0.741098 | + | 0.671396i | \(0.234305\pi\) | |||||||
\(830\) | −1.64983 | − | 5.66328i | −0.0572665 | − | 0.196575i | ||||
\(831\) | −6.46124 | + | 14.1481i | −0.224138 | + | 0.490794i | ||||
\(832\) | 1.09134 | + | 3.71676i | 0.0378354 | + | 0.128855i | ||||
\(833\) | 16.1456 | + | 13.9903i | 0.559413 | + | 0.484734i | ||||
\(834\) | −12.7868 | − | 3.75454i | −0.442771 | − | 0.130009i | ||||
\(835\) | 28.4488 | + | 32.9730i | 0.984513 | + | 1.14108i | ||||
\(836\) | −3.88339 | − | 8.50343i | −0.134310 | − | 0.294097i | ||||
\(837\) | −4.13024 | + | 3.57887i | −0.142762 | + | 0.123704i | ||||
\(838\) | −15.3026 | + | 23.8113i | −0.528620 | + | 0.822548i | ||||
\(839\) | 5.55060 | − | 38.6053i | 0.191628 | − | 1.33280i | −0.636072 | − | 0.771630i | \(-0.719442\pi\) |
0.827699 | − | 0.561172i | \(-0.189649\pi\) | |||||||
\(840\) | 2.92627 | + | 0.00621525i | 0.100966 | + | 0.000214446i | ||||
\(841\) | 17.3371 | + | 11.1419i | 0.597832 | + | 0.384204i | ||||
\(842\) | −4.01440 | + | 3.47849i | −0.138345 | + | 0.119877i | ||||
\(843\) | 0.734957 | − | 0.335644i | 0.0253133 | − | 0.0115602i | ||||
\(844\) | −3.54163 | + | 2.27607i | −0.121908 | + | 0.0783455i | ||||
\(845\) | 4.43700 | + | 0.647566i | 0.152638 | + | 0.0222770i | ||||
\(846\) | −3.56555 | + | 4.11486i | −0.122586 | + | 0.141472i | ||||
\(847\) | 2.75722 | + | 9.39023i | 0.0947392 | + | 0.322652i | ||||
\(848\) | 7.16201 | + | 3.27078i | 0.245945 | + | 0.112319i | ||||
\(849\) | −3.44090 | − | 23.9320i | −0.118091 | − | 0.821344i | ||||
\(850\) | −19.4082 | + | 5.60932i | −0.665696 | + | 0.192398i | ||||
\(851\) | 3.49017 | − | 21.0367i | 0.119641 | − | 0.721130i | ||||
\(852\) | 11.0810i | 0.379628i | ||||||||
\(853\) | 8.89539 | − | 1.27896i | 0.304572 | − | 0.0437909i | 0.0116657 | − | 0.999932i | \(-0.496287\pi\) |
0.292907 | + | 0.956141i | \(0.405378\pi\) | |||||||
\(854\) | 1.57116 | − | 3.44037i | 0.0537641 | − | 0.117727i | ||||
\(855\) | −10.1420 | + | 4.60570i | −0.346850 | + | 0.157512i | ||||
\(856\) | 4.71457 | − | 5.44090i | 0.161141 | − | 0.185966i | ||||
\(857\) | −10.5748 | + | 36.0143i | −0.361227 | + | 1.23023i | 0.555772 | + | 0.831335i | \(0.312423\pi\) |
−0.916999 | + | 0.398891i | \(0.869395\pi\) | |||||||
\(858\) | −3.93012 | − | 6.11539i | −0.134172 | − | 0.208776i | ||||
\(859\) | −10.0196 | − | 21.9399i | −0.341865 | − | 0.748580i | 0.658126 | − | 0.752908i | \(-0.271350\pi\) |
−0.999991 | + | 0.00432830i | \(0.998622\pi\) | |||||||
\(860\) | −3.51650 | + | 4.04088i | −0.119912 | + | 0.137793i | ||||
\(861\) | −7.71310 | − | 4.95691i | −0.262862 | − | 0.168931i | ||||
\(862\) | −34.1996 | − | 4.91716i | −1.16484 | − | 0.167479i | ||||
\(863\) | −32.5818 | − | 4.68455i | −1.10910 | − | 0.159464i | −0.436665 | − | 0.899624i | \(-0.643841\pi\) |
−0.672431 | + | 0.740160i | \(0.734750\pi\) | |||||||
\(864\) | −0.841254 | − | 0.540641i | −0.0286200 | − | 0.0183930i | ||||
\(865\) | −10.0982 | + | 11.6040i | −0.343348 | + | 0.394548i | ||||
\(866\) | 14.3653 | + | 31.4557i | 0.488154 | + | 1.06891i | ||||
\(867\) | 0.364544 | + | 0.567241i | 0.0123806 | + | 0.0192645i | ||||
\(868\) | −2.01495 | + | 6.86229i | −0.0683919 | + | 0.232921i | ||||
\(869\) | −7.67206 | + | 8.85403i | −0.260257 | + | 0.300352i | ||||
\(870\) | −14.3400 | + | 6.51209i | −0.486172 | + | 0.220781i | ||||
\(871\) | 7.06731 | − | 15.4753i | 0.239467 | − | 0.524359i | ||||
\(872\) | 11.2807 | − | 1.62192i | 0.382012 | − | 0.0549250i | ||||
\(873\) | 9.22937i | 0.312367i | ||||||||
\(874\) | 10.3916 | − | 21.5117i | 0.351500 | − | 0.727643i | ||||
\(875\) | 5.99316 | + | 13.3476i | 0.202606 | + | 0.451232i | ||||
\(876\) | 0.242152 | + | 1.68420i | 0.00818155 | + | 0.0569039i | ||||
\(877\) | −10.9255 | − | 4.98951i | −0.368928 | − | 0.168484i | 0.222320 | − | 0.974974i | \(-0.428637\pi\) |
−0.591248 | + | 0.806490i | \(0.701364\pi\) | |||||||
\(878\) | −11.2032 | − | 38.1545i | −0.378089 | − | 1.28765i | ||||
\(879\) | 14.9640 | − | 17.2693i | 0.504722 | − | 0.582481i | ||||
\(880\) | 4.15224 | + | 0.606007i | 0.139972 | + | 0.0204285i | ||||
\(881\) | 21.2732 | − | 13.6714i | 0.716711 | − | 0.460602i | −0.130780 | − | 0.991411i | \(-0.541748\pi\) |
0.847491 | + | 0.530809i | \(0.178112\pi\) | |||||||
\(882\) | −4.80957 | + | 2.19646i | −0.161947 | + | 0.0739586i | ||||
\(883\) | 15.3382 | − | 13.2906i | 0.516170 | − | 0.447264i | −0.357408 | − | 0.933948i | \(-0.616339\pi\) |
0.873578 | + | 0.486685i | \(0.161794\pi\) | |||||||
\(884\) | −13.1670 | − | 8.46189i | −0.442853 | − | 0.284604i | ||||
\(885\) | −0.495435 | − | 0.00105228i | −0.0166539 | − | 3.53720e-5i | ||||
\(886\) | 2.13826 | − | 14.8719i | 0.0718362 | − | 0.499632i | ||||
\(887\) | −3.91581 | + | 6.09312i | −0.131480 | + | 0.204587i | −0.900751 | − | 0.434336i | \(-0.856983\pi\) |
0.769271 | + | 0.638923i | \(0.220620\pi\) | |||||||
\(888\) | 3.36038 | − | 2.91179i | 0.112767 | − | 0.0977132i | ||||
\(889\) | 2.77389 | + | 6.07398i | 0.0930334 | + | 0.203715i | ||||
\(890\) | −3.94101 | − | 4.56774i | −0.132103 | − | 0.153111i | ||||
\(891\) | 1.80060 | + | 0.528703i | 0.0603222 | + | 0.0177122i | ||||
\(892\) | −8.96190 | − | 7.76553i | −0.300066 | − | 0.260009i | ||||
\(893\) | −7.64132 | − | 26.0239i | −0.255707 | − | 0.870858i | ||||
\(894\) | −8.58131 | + | 18.7905i | −0.287002 | + | 0.628447i | ||||
\(895\) | −5.75328 | − | 19.7489i | −0.192311 | − | 0.660134i | ||||
\(896\) | −1.30867 | −0.0437196 | ||||||||
\(897\) | 5.61784 | − | 17.7077i | 0.187574 | − | 0.591242i | ||||
\(898\) | 18.9237i | 0.631492i | ||||||||
\(899\) | −5.47806 | − | 38.1007i | −0.182703 | − | 1.27073i | ||||
\(900\) | 0.732591 | − | 4.94604i | 0.0244197 | − | 0.164868i | ||||
\(901\) | −30.5244 | + | 8.96278i | −1.01692 | + | 0.298593i | ||||
\(902\) | −9.93630 | − | 8.60985i | −0.330843 | − | 0.286677i | ||||
\(903\) | −0.883246 | + | 3.00806i | −0.0293926 | + | 0.100102i | ||||
\(904\) | −7.92693 | + | 5.09433i | −0.263646 | + | 0.169435i | ||||
\(905\) | 21.3859 | + | 33.4330i | 0.710891 | + | 1.11135i | ||||
\(906\) | −8.81034 | − | 10.1677i | −0.292704 | − | 0.337798i | ||||
\(907\) | 6.41210 | − | 9.97743i | 0.212910 | − | 0.331295i | −0.718329 | − | 0.695704i | \(-0.755093\pi\) |
0.931239 | + | 0.364409i | \(0.118729\pi\) | |||||||
\(908\) | 18.7002 | + | 2.68869i | 0.620589 | + | 0.0892273i | ||||
\(909\) | −2.27709 | + | 15.8375i | −0.0755263 | + | 0.525297i | ||||
\(910\) | −4.73079 | + | 10.3010i | −0.156824 | + | 0.341476i | ||||
\(911\) | −13.6572 | − | 15.7612i | −0.452482 | − | 0.522192i | 0.482974 | − | 0.875635i | \(-0.339557\pi\) |
−0.935456 | + | 0.353442i | \(0.885011\pi\) | |||||||
\(912\) | 4.53127 | − | 2.06936i | 0.150045 | − | 0.0685233i | ||||
\(913\) | −2.67642 | − | 4.16460i | −0.0885767 | − | 0.137828i | ||||
\(914\) | 23.1194 | + | 6.78846i | 0.764721 | + | 0.224542i | ||||
\(915\) | −5.42909 | − | 3.50538i | −0.179480 | − | 0.115884i | ||||
\(916\) | 1.84478 | − | 0.541676i | 0.0609533 | − | 0.0178975i | ||||
\(917\) | 13.0142 | + | 5.94340i | 0.429768 | + | 0.196268i | ||||
\(918\) | 3.99938 | − | 0.575024i | 0.131999 | − | 0.0189786i | ||||
\(919\) | 44.1807 | 1.45739 | 0.728693 | − | 0.684841i | \(-0.240128\pi\) | ||||
0.728693 | + | 0.684841i | \(0.240128\pi\) | |||||||
\(920\) | 5.58199 | + | 9.15649i | 0.184033 | + | 0.301881i | ||||
\(921\) | −28.1756 | −0.928419 | ||||||||
\(922\) | 7.57544 | − | 1.08918i | 0.249484 | − | 0.0358704i | ||||
\(923\) | −39.0451 | − | 17.8313i | −1.28518 | − | 0.586924i | ||||
\(924\) | 2.35639 | − | 0.691897i | 0.0775194 | − | 0.0227617i | ||||
\(925\) | 20.1836 | + | 9.32138i | 0.663634 | + | 0.306485i | ||||
\(926\) | 14.9293 | + | 4.38364i | 0.490607 | + | 0.144055i | ||||
\(927\) | −2.21413 | − | 3.44525i | −0.0727214 | − | 0.113157i | ||||
\(928\) | 6.40685 | − | 2.92591i | 0.210315 | − | 0.0960477i | ||||
\(929\) | −8.89267 | − | 10.2627i | −0.291759 | − | 0.336708i | 0.590880 | − | 0.806760i | \(-0.298781\pi\) |
−0.882639 | + | 0.470052i | \(0.844235\pi\) | |||||||
\(930\) | 11.1052 | + | 5.10010i | 0.364153 | + | 0.167239i | ||||
\(931\) | 3.74839 | − | 26.0706i | 0.122849 | − | 0.854430i | ||||
\(932\) | 22.1664 | + | 3.18705i | 0.726086 | + | 0.104395i | ||||
\(933\) | −15.6318 | + | 24.3235i | −0.511761 | + | 0.796316i | ||||
\(934\) | −17.8536 | − | 20.6041i | −0.584187 | − | 0.674187i | ||||
\(935\) | −14.2828 | + | 9.13621i | −0.467098 | + | 0.298786i | ||||
\(936\) | 3.25874 | − | 2.09426i | 0.106515 | − | 0.0684531i | ||||
\(937\) | −5.87096 | + | 19.9947i | −0.191796 | + | 0.653197i | 0.806299 | + | 0.591508i | \(0.201467\pi\) |
−0.998095 | + | 0.0616895i | \(0.980351\pi\) | |||||||
\(938\) | 4.34368 | + | 3.76382i | 0.141826 | + | 0.122893i | ||||
\(939\) | 2.05378 | − | 0.603045i | 0.0670227 | − | 0.0196796i | ||||
\(940\) | 11.6743 | + | 3.45485i | 0.380775 | + | 0.112685i | ||||
\(941\) | 1.62463 | + | 11.2995i | 0.0529613 | + | 0.368354i | 0.999016 | + | 0.0443476i | \(0.0141209\pi\) |
−0.946055 | + | 0.324007i | \(0.894970\pi\) | |||||||
\(942\) | 11.4283i | 0.372353i | ||||||||
\(943\) | 0.726070 | − | 33.5919i | 0.0236441 | − | 1.09390i | ||||
\(944\) | 0.221566 | 0.00721135 | ||||||||
\(945\) | −0.818461 | − | 2.80948i | −0.0266245 | − | 0.0913925i | ||||
\(946\) | −1.86755 | + | 4.08935i | −0.0607191 | + | 0.132956i | ||||
\(947\) | −7.63015 | − | 25.9859i | −0.247947 | − | 0.844429i | −0.985577 | − | 0.169225i | \(-0.945874\pi\) |
0.737631 | − | 0.675204i | \(-0.235945\pi\) | |||||||
\(948\) | −4.71809 | − | 4.08825i | −0.153236 | − | 0.132780i | ||||
\(949\) | −6.32414 | − | 1.85694i | −0.205290 | − | 0.0602787i | ||||
\(950\) | 18.7541 | + | 16.3905i | 0.608463 | + | 0.531779i | ||||
\(951\) | 0.210810 | + | 0.461610i | 0.00683599 | + | 0.0149687i | ||||
\(952\) | 3.99617 | − | 3.46270i | 0.129517 | − | 0.112227i | ||||
\(953\) | −25.3253 | + | 39.4070i | −0.820367 | + | 1.27652i | 0.137844 | + | 0.990454i | \(0.455983\pi\) |
−0.958211 | + | 0.286062i | \(0.907654\pi\) | |||||||
\(954\) | 1.12052 | − | 7.79339i | 0.0362782 | − | 0.252320i | ||||
\(955\) | 0.0132922 | − | 6.25826i | 0.000430126 | − | 0.202512i | ||||
\(956\) | 7.26739 | + | 4.67047i | 0.235044 | + | 0.151054i | ||||
\(957\) | −9.98922 | + | 8.65570i | −0.322905 | + | 0.279799i | ||||
\(958\) | 25.5614 | − | 11.6735i | 0.825852 | − | 0.377154i | ||||
\(959\) | 23.4936 | − | 15.0984i | 0.758648 | − | 0.487553i | ||||
\(960\) | −0.322926 | + | 2.21263i | −0.0104224 | + | 0.0714122i | ||||
\(961\) | 0.741815 | − | 0.856100i | 0.0239295 | − | 0.0276161i | ||||
\(962\) | 4.85255 | + | 16.5263i | 0.156453 | + | 0.532829i | ||||
\(963\) | −6.54875 | − | 2.99072i | −0.211031 | − | 0.0963745i | ||||
\(964\) | −1.72378 | − | 11.9891i | −0.0555192 | − | 0.386144i | ||||
\(965\) | −7.20528 | − | 50.8808i | −0.231946 | − | 1.63791i | ||||
\(966\) | 5.20528 | + | 3.50645i | 0.167477 | + | 0.112818i | ||||
\(967\) | 44.9675i | 1.44606i | 0.690817 | + | 0.723029i | \(0.257251\pi\) | ||||
−0.690817 | + | 0.723029i | \(0.742749\pi\) | |||||||
\(968\) | −7.40221 | + | 1.06428i | −0.237916 | + | 0.0342072i | ||||
\(969\) | −8.36127 | + | 18.3086i | −0.268603 | + | 0.588158i | ||||
\(970\) | 18.7907 | − | 8.53324i | 0.603333 | − | 0.273986i | ||||
\(971\) | 1.16320 | − | 1.34240i | 0.0373288 | − | 0.0430797i | −0.736778 | − | 0.676135i | \(-0.763654\pi\) |
0.774107 | + | 0.633055i | \(0.218199\pi\) | |||||||
\(972\) | −0.281733 | + | 0.959493i | −0.00903658 | + | 0.0307758i | ||||
\(973\) | 9.42886 | + | 14.6716i | 0.302275 | + | 0.470349i | ||||
\(974\) | −3.95369 | − | 8.65737i | −0.126684 | − | 0.277400i | ||||
\(975\) | 16.2491 | + | 10.5404i | 0.520386 | + | 0.337564i | ||||
\(976\) | 2.43129 | + | 1.56249i | 0.0778236 | + | 0.0500142i | ||||
\(977\) | 35.0453 | + | 5.03876i | 1.12120 | + | 0.161204i | 0.677889 | − | 0.735164i | \(-0.262895\pi\) |
0.443310 | + | 0.896368i | \(0.353804\pi\) | |||||||
\(978\) | −20.3714 | − | 2.92897i | −0.651407 | − | 0.0936582i | ||||
\(979\) | −4.25934 | − | 2.73731i | −0.136129 | − | 0.0874849i | ||||
\(980\) | 8.91872 | + | 7.76135i | 0.284898 | + | 0.247927i | ||||
\(981\) | −4.73435 | − | 10.3668i | −0.151156 | − | 0.330986i | ||||
\(982\) | 10.6447 | + | 16.5634i | 0.339685 | + | 0.528561i | ||||
\(983\) | −13.2503 | + | 45.1263i | −0.422618 | + | 1.43930i | 0.423299 | + | 0.905990i | \(0.360872\pi\) |
−0.845917 | + | 0.533314i | \(0.820946\pi\) | |||||||
\(984\) | 4.58798 | − | 5.29481i | 0.146259 | − | 0.168792i | ||||
\(985\) | 17.1822 | + | 37.8362i | 0.547470 | + | 1.20556i | ||||
\(986\) | −11.8222 | + | 25.8869i | −0.376495 | + | 0.824408i | ||||
\(987\) | 7.05284 | − | 1.01405i | 0.224495 | − | 0.0322774i | ||||
\(988\) | 19.2964i | 0.613900i | ||||||||
\(989\) | −11.0909 | + | 2.99783i | −0.352670 | + | 0.0953254i | ||||
\(990\) | −0.588363 | − | 4.15478i | −0.0186994 | − | 0.132048i | ||||
\(991\) | 4.84955 | + | 33.7293i | 0.154051 | + | 1.07145i | 0.909339 | + | 0.416055i | \(0.136588\pi\) |
−0.755289 | + | 0.655392i | \(0.772503\pi\) | |||||||
\(992\) | −4.97122 | − | 2.27028i | −0.157836 | − | 0.0720815i | ||||
\(993\) | 0.256538 | + | 0.873689i | 0.00814100 | + | 0.0277257i | ||||
\(994\) | 9.49635 | − | 10.9594i | 0.301206 | − | 0.347610i | ||||
\(995\) | −27.5398 | − | 4.01934i | −0.873069 | − | 0.127422i | ||||
\(996\) | 2.21921 | − | 1.42620i | 0.0703183 | − | 0.0451909i | ||||
\(997\) | 0.505813 | − | 0.230997i | 0.0160193 | − | 0.00731575i | −0.407389 | − | 0.913255i | \(-0.633561\pi\) |
0.423409 | + | 0.905939i | \(0.360833\pi\) | |||||||
\(998\) | −20.6705 | + | 17.9111i | −0.654314 | + | 0.566967i | ||||
\(999\) | −3.74057 | − | 2.40392i | −0.118346 | − | 0.0760566i |
(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 | 690.2.r.b.49.2 | ✓ | 120 | |
5.4 | even | 2 | inner | 690.2.r.b.49.9 | yes | 120 | |
23.8 | even | 11 | inner | 690.2.r.b.169.9 | yes | 120 | |
115.54 | even | 22 | inner | 690.2.r.b.169.2 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.r.b.49.2 | ✓ | 120 | 1.1 | even | 1 | trivial | |
690.2.r.b.49.9 | yes | 120 | 5.4 | even | 2 | inner | |
690.2.r.b.169.2 | yes | 120 | 115.54 | even | 22 | inner | |
690.2.r.b.169.9 | yes | 120 | 23.8 | even | 11 | inner |