Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(248,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 9, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.248");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.x (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 248.14 | ||
Character | \(\chi\) | \(=\) | 429.248 |
Dual form | 429.2.x.a.365.14 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{9}{10}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.395367 | − | 1.21681i | −0.279566 | − | 0.860417i | −0.987975 | − | 0.154614i | \(-0.950586\pi\) |
0.708408 | − | 0.705803i | \(-0.249414\pi\) | |||||||
\(3\) | 1.57722 | + | 0.715804i | 0.910609 | + | 0.413270i | ||||
\(4\) | 0.293714 | − | 0.213396i | 0.146857 | − | 0.106698i | ||||
\(5\) | 3.00322 | + | 0.975804i | 1.34308 | + | 0.436393i | 0.890359 | − | 0.455260i | \(-0.150454\pi\) |
0.452720 | + | 0.891653i | \(0.350454\pi\) | |||||||
\(6\) | 0.247420 | − | 2.20219i | 0.101009 | − | 0.899040i | ||||
\(7\) | 0.904708 | + | 1.24522i | 0.341947 | + | 0.470650i | 0.945009 | − | 0.327044i | \(-0.106053\pi\) |
−0.603061 | + | 0.797695i | \(0.706053\pi\) | |||||||
\(8\) | −2.44595 | − | 1.77709i | −0.864775 | − | 0.628296i | ||||
\(9\) | 1.97525 | + | 2.25796i | 0.658416 | + | 0.752654i | ||||
\(10\) | − | 4.04015i | − | 1.27761i | ||||||
\(11\) | −2.06549 | − | 2.59495i | −0.622767 | − | 0.782407i | ||||
\(12\) | 0.616001 | − | 0.126330i | 0.177824 | − | 0.0364684i | ||||
\(13\) | −0.951057 | + | 0.309017i | −0.263776 | + | 0.0857059i | ||||
\(14\) | 1.15751 | − | 1.59318i | 0.309359 | − | 0.425795i | ||||
\(15\) | 4.03825 | + | 3.68877i | 1.04267 | + | 0.952437i | ||||
\(16\) | −0.970960 | + | 2.98831i | −0.242740 | + | 0.747077i | ||||
\(17\) | −0.239986 | + | 0.738601i | −0.0582052 | + | 0.179137i | −0.975932 | − | 0.218075i | \(-0.930022\pi\) |
0.917727 | + | 0.397212i | \(0.130022\pi\) | |||||||
\(18\) | 1.96657 | − | 3.29623i | 0.463525 | − | 0.776929i | ||||
\(19\) | −2.07738 | + | 2.85926i | −0.476583 | + | 0.655960i | −0.977844 | − | 0.209336i | \(-0.932870\pi\) |
0.501261 | + | 0.865296i | \(0.332870\pi\) | |||||||
\(20\) | 1.09032 | − | 0.354266i | 0.243803 | − | 0.0792162i | ||||
\(21\) | 0.535587 | + | 2.61159i | 0.116875 | + | 0.569895i | ||||
\(22\) | −2.34095 | + | 3.53927i | −0.499092 | + | 0.754574i | ||||
\(23\) | − | 0.746852i | − | 0.155729i | −0.996964 | − | 0.0778647i | \(-0.975190\pi\) | ||
0.996964 | − | 0.0778647i | \(-0.0248102\pi\) | |||||||
\(24\) | −2.58576 | − | 4.55369i | −0.527816 | − | 0.929517i | ||||
\(25\) | 4.02203 | + | 2.92217i | 0.804405 | + | 0.584435i | ||||
\(26\) | 0.752032 | + | 1.03508i | 0.147486 | + | 0.202997i | ||||
\(27\) | 1.49914 | + | 4.97520i | 0.288510 | + | 0.957477i | ||||
\(28\) | 0.531450 | + | 0.172679i | 0.100435 | + | 0.0326332i | ||||
\(29\) | −5.52744 | + | 4.01592i | −1.02642 | + | 0.745737i | −0.967589 | − | 0.252531i | \(-0.918737\pi\) |
−0.0588302 | + | 0.998268i | \(0.518737\pi\) | |||||||
\(30\) | 2.89196 | − | 6.37221i | 0.527997 | − | 1.16340i | ||||
\(31\) | −2.27760 | − | 7.00973i | −0.409069 | − | 1.25898i | −0.917450 | − | 0.397852i | \(-0.869756\pi\) |
0.508381 | − | 0.861132i | \(-0.330244\pi\) | |||||||
\(32\) | −2.02663 | −0.358261 | ||||||||
\(33\) | −1.40025 | − | 5.57129i | −0.243752 | − | 0.969838i | ||||
\(34\) | 0.993623 | 0.170405 | ||||||||
\(35\) | 1.50194 | + | 4.62249i | 0.253874 | + | 0.781344i | ||||
\(36\) | 1.06200 | + | 0.241685i | 0.176999 | + | 0.0402809i | ||||
\(37\) | 3.15364 | − | 2.29125i | 0.518455 | − | 0.376680i | −0.297567 | − | 0.954701i | \(-0.596175\pi\) |
0.816022 | + | 0.578022i | \(0.196175\pi\) | |||||||
\(38\) | 4.30052 | + | 1.39732i | 0.697636 | + | 0.226676i | ||||
\(39\) | −1.72122 | − | 0.193383i | −0.275616 | − | 0.0309660i | ||||
\(40\) | −5.61164 | − | 7.72375i | −0.887278 | − | 1.22123i | ||||
\(41\) | 0.0989568 | + | 0.0718963i | 0.0154545 | + | 0.0112283i | 0.595486 | − | 0.803366i | \(-0.296960\pi\) |
−0.580031 | + | 0.814594i | \(0.696960\pi\) | |||||||
\(42\) | 2.96606 | − | 1.68424i | 0.457673 | − | 0.259884i | ||||
\(43\) | − | 8.18396i | − | 1.24804i | −0.781407 | − | 0.624021i | \(-0.785498\pi\) | ||
0.781407 | − | 0.624021i | \(-0.214502\pi\) | |||||||
\(44\) | −1.16041 | − | 0.321408i | −0.174939 | − | 0.0484540i | ||||
\(45\) | 3.72877 | + | 8.70860i | 0.555852 | + | 1.29820i | ||||
\(46\) | −0.908779 | + | 0.295280i | −0.133992 | + | 0.0435367i | ||||
\(47\) | 2.35995 | − | 3.24820i | 0.344235 | − | 0.473799i | −0.601438 | − | 0.798920i | \(-0.705405\pi\) |
0.945672 | + | 0.325121i | \(0.105405\pi\) | |||||||
\(48\) | −3.67046 | + | 4.01820i | −0.529786 | + | 0.579978i | ||||
\(49\) | 1.43103 | − | 4.40427i | 0.204433 | − | 0.629181i | ||||
\(50\) | 1.96556 | − | 6.04939i | 0.277973 | − | 0.855512i | ||||
\(51\) | −0.907205 | + | 0.993154i | −0.127034 | + | 0.139069i | ||||
\(52\) | −0.213396 | + | 0.293714i | −0.0295926 | + | 0.0407308i | ||||
\(53\) | −7.92683 | + | 2.57558i | −1.08883 | + | 0.353783i | −0.797796 | − | 0.602928i | \(-0.794001\pi\) |
−0.291038 | + | 0.956712i | \(0.594001\pi\) | |||||||
\(54\) | 5.46117 | − | 3.79120i | 0.743172 | − | 0.515917i | ||||
\(55\) | −3.67093 | − | 9.80871i | −0.494989 | − | 1.32261i | ||||
\(56\) | − | 4.65351i | − | 0.621851i | ||||||
\(57\) | −5.32316 | + | 3.02269i | −0.705069 | + | 0.400366i | ||||
\(58\) | 7.07199 | + | 5.13810i | 0.928597 | + | 0.674665i | ||||
\(59\) | 2.25358 | + | 3.10179i | 0.293392 | + | 0.403819i | 0.930112 | − | 0.367276i | \(-0.119709\pi\) |
−0.636720 | + | 0.771095i | \(0.719709\pi\) | |||||||
\(60\) | 1.97326 | + | 0.221699i | 0.254746 | + | 0.0286212i | ||||
\(61\) | 11.6267 | + | 3.77775i | 1.48865 | + | 0.483692i | 0.936684 | − | 0.350175i | \(-0.113878\pi\) |
0.551966 | + | 0.833867i | \(0.313878\pi\) | |||||||
\(62\) | −7.62904 | + | 5.54283i | −0.968890 | + | 0.703939i | ||||
\(63\) | −1.02465 | + | 4.50242i | −0.129093 | + | 0.567252i | ||||
\(64\) | 2.74318 | + | 8.44265i | 0.342898 | + | 1.05533i | ||||
\(65\) | −3.15777 | −0.391673 | ||||||||
\(66\) | −6.22561 | + | 3.90654i | −0.766320 | + | 0.480862i | ||||
\(67\) | −13.3604 | −1.63224 | −0.816118 | − | 0.577885i | \(-0.803878\pi\) | ||||
−0.816118 | + | 0.577885i | \(0.803878\pi\) | |||||||
\(68\) | 0.0871270 | + | 0.268149i | 0.0105657 | + | 0.0325179i | ||||
\(69\) | 0.534600 | − | 1.17795i | 0.0643582 | − | 0.141808i | ||||
\(70\) | 5.03090 | − | 3.65516i | 0.601307 | − | 0.436875i | ||||
\(71\) | −3.79063 | − | 1.23165i | −0.449865 | − | 0.146170i | 0.0753178 | − | 0.997160i | \(-0.476003\pi\) |
−0.525182 | + | 0.850990i | \(0.676003\pi\) | |||||||
\(72\) | −0.818765 | − | 9.03307i | −0.0964923 | − | 1.06456i | ||||
\(73\) | −6.11103 | − | 8.41111i | −0.715242 | − | 0.984446i | −0.999668 | − | 0.0257483i | \(-0.991803\pi\) |
0.284426 | − | 0.958698i | \(-0.408197\pi\) | |||||||
\(74\) | −4.03487 | − | 2.93150i | −0.469044 | − | 0.340780i | ||||
\(75\) | 4.25192 | + | 7.48789i | 0.490969 | + | 0.864628i | ||||
\(76\) | 1.28311i | 0.147183i | ||||||||
\(77\) | 1.36263 | − | 4.91966i | 0.155287 | − | 0.560648i | ||||
\(78\) | 0.445203 | + | 2.17086i | 0.0504093 | + | 0.245802i | ||||
\(79\) | 8.34339 | − | 2.71093i | 0.938705 | − | 0.305004i | 0.200587 | − | 0.979676i | \(-0.435715\pi\) |
0.738117 | + | 0.674672i | \(0.235715\pi\) | |||||||
\(80\) | −5.83201 | + | 8.02707i | −0.652038 | + | 0.897454i | ||||
\(81\) | −1.19679 | + | 8.92007i | −0.132977 | + | 0.991119i | ||||
\(82\) | 0.0483602 | − | 0.148837i | 0.00534049 | − | 0.0164363i | ||||
\(83\) | 1.52529 | − | 4.69435i | 0.167422 | − | 0.515272i | −0.831785 | − | 0.555099i | \(-0.812681\pi\) |
0.999207 | + | 0.0398266i | \(0.0126805\pi\) | |||||||
\(84\) | 0.714610 | + | 0.652767i | 0.0779704 | + | 0.0712227i | ||||
\(85\) | −1.44146 | + | 1.98400i | −0.156348 | + | 0.215195i | ||||
\(86\) | −9.95836 | + | 3.23567i | −1.07384 | + | 0.348911i | ||||
\(87\) | −11.5926 | + | 2.37742i | −1.24286 | + | 0.254887i | ||||
\(88\) | 0.440621 | + | 10.0177i | 0.0469703 | + | 1.06789i | ||||
\(89\) | − | 8.90085i | − | 0.943489i | −0.881735 | − | 0.471744i | \(-0.843625\pi\) | ||
0.881735 | − | 0.471744i | \(-0.156375\pi\) | |||||||
\(90\) | 9.12252 | − | 7.98031i | 0.961598 | − | 0.841198i | ||||
\(91\) | −1.24522 | − | 0.904708i | −0.130535 | − | 0.0948392i | ||||
\(92\) | −0.159375 | − | 0.219361i | −0.0166160 | − | 0.0228699i | ||||
\(93\) | 1.42532 | − | 12.6862i | 0.147799 | − | 1.31550i | ||||
\(94\) | −4.88550 | − | 1.58740i | −0.503901 | − | 0.163727i | ||||
\(95\) | −9.02889 | + | 6.55987i | −0.926345 | + | 0.673029i | ||||
\(96\) | −3.19644 | − | 1.45067i | −0.326236 | − | 0.148058i | ||||
\(97\) | 5.98019 | + | 18.4051i | 0.607196 | + | 1.86876i | 0.480927 | + | 0.876761i | \(0.340300\pi\) |
0.126269 | + | 0.991996i | \(0.459700\pi\) | |||||||
\(98\) | −5.92496 | −0.598511 | ||||||||
\(99\) | 1.77946 | − | 9.78946i | 0.178842 | − | 0.983878i | ||||
\(100\) | 1.80490 | 0.180490 | ||||||||
\(101\) | 5.95891 | + | 18.3396i | 0.592934 | + | 1.82486i | 0.564753 | + | 0.825260i | \(0.308972\pi\) |
0.0281811 | + | 0.999603i | \(0.491028\pi\) | |||||||
\(102\) | 1.56716 | + | 0.711239i | 0.155172 | + | 0.0704232i | ||||
\(103\) | −8.39806 | + | 6.10154i | −0.827485 | + | 0.601203i | −0.918847 | − | 0.394615i | \(-0.870878\pi\) |
0.0913617 | + | 0.995818i | \(0.470878\pi\) | |||||||
\(104\) | 2.87539 | + | 0.934271i | 0.281955 | + | 0.0916128i | ||||
\(105\) | −0.939912 | + | 8.36578i | −0.0917260 | + | 0.816417i | ||||
\(106\) | 6.26801 | + | 8.62717i | 0.608803 | + | 0.837945i | ||||
\(107\) | 13.8723 | + | 10.0788i | 1.34108 | + | 0.974355i | 0.999403 | + | 0.0345394i | \(0.0109964\pi\) |
0.341682 | + | 0.939816i | \(0.389004\pi\) | |||||||
\(108\) | 1.50200 | + | 1.14137i | 0.144530 | + | 0.109829i | ||||
\(109\) | − | 5.88495i | − | 0.563676i | −0.959462 | − | 0.281838i | \(-0.909056\pi\) | ||
0.959462 | − | 0.281838i | \(-0.0909441\pi\) | |||||||
\(110\) | −10.4840 | + | 8.34488i | −0.999610 | + | 0.795653i | ||||
\(111\) | 6.61407 | − | 1.35642i | 0.627780 | − | 0.128746i | ||||
\(112\) | −4.59955 | + | 1.49448i | −0.434617 | + | 0.141215i | ||||
\(113\) | −9.98891 | + | 13.7486i | −0.939678 | + | 1.29336i | 0.0162851 | + | 0.999867i | \(0.494816\pi\) |
−0.955963 | + | 0.293488i | \(0.905184\pi\) | |||||||
\(114\) | 5.78265 | + | 5.28221i | 0.541595 | + | 0.494725i | ||||
\(115\) | 0.728781 | − | 2.24296i | 0.0679592 | − | 0.209157i | ||||
\(116\) | −0.766505 | + | 2.35906i | −0.0711682 | + | 0.219033i | ||||
\(117\) | −2.57632 | − | 1.53706i | −0.238181 | − | 0.142102i | ||||
\(118\) | 2.88331 | − | 3.96854i | 0.265430 | − | 0.365333i | ||||
\(119\) | −1.13684 | + | 0.369382i | −0.104214 | + | 0.0338612i | ||||
\(120\) | −3.32209 | − | 16.1989i | −0.303264 | − | 1.47875i | ||||
\(121\) | −2.46754 | + | 10.7197i | −0.224322 | + | 0.974515i | ||||
\(122\) | − | 15.6412i | − | 1.41608i | ||||||
\(123\) | 0.104613 | + | 0.184230i | 0.00943263 | + | 0.0166115i | ||||
\(124\) | −2.16481 | − | 1.57282i | −0.194405 | − | 0.141244i | ||||
\(125\) | −0.0529031 | − | 0.0728148i | −0.00473180 | − | 0.00651276i | ||||
\(126\) | 5.88372 | − | 0.533305i | 0.524163 | − | 0.0475106i | ||||
\(127\) | 6.96739 | + | 2.26384i | 0.618256 | + | 0.200884i | 0.601366 | − | 0.798974i | \(-0.294623\pi\) |
0.0168903 | + | 0.999857i | \(0.494623\pi\) | |||||||
\(128\) | 5.90941 | − | 4.29344i | 0.522323 | − | 0.379490i | ||||
\(129\) | 5.85812 | − | 12.9079i | 0.515778 | − | 1.13648i | ||||
\(130\) | 1.24848 | + | 3.84241i | 0.109499 | + | 0.337002i | ||||
\(131\) | 6.55882 | 0.573047 | 0.286523 | − | 0.958073i | \(-0.407500\pi\) | ||||
0.286523 | + | 0.958073i | \(0.407500\pi\) | |||||||
\(132\) | −1.60016 | − | 1.33756i | −0.139276 | − | 0.116420i | ||||
\(133\) | −5.43984 | −0.471694 | ||||||||
\(134\) | 5.28227 | + | 16.2571i | 0.456318 | + | 1.40440i | ||||
\(135\) | −0.352568 | + | 16.4045i | −0.0303442 | + | 1.41187i | ||||
\(136\) | 1.89956 | − | 1.38011i | 0.162886 | − | 0.118343i | ||||
\(137\) | −2.51213 | − | 0.816241i | −0.214626 | − | 0.0697362i | 0.199731 | − | 0.979851i | \(-0.435993\pi\) |
−0.414356 | + | 0.910115i | \(0.635993\pi\) | |||||||
\(138\) | −1.64471 | − | 0.184786i | −0.140007 | − | 0.0157300i | ||||
\(139\) | −7.28494 | − | 10.0269i | −0.617900 | − | 0.850467i | 0.379298 | − | 0.925275i | \(-0.376166\pi\) |
−0.997198 | + | 0.0748080i | \(0.976166\pi\) | |||||||
\(140\) | 1.42756 | + | 1.03718i | 0.120651 | + | 0.0876579i | ||||
\(141\) | 6.04724 | − | 3.43386i | 0.509270 | − | 0.289183i | ||||
\(142\) | 5.09944i | 0.427935i | ||||||||
\(143\) | 2.76628 | + | 1.82968i | 0.231328 | + | 0.153005i | ||||
\(144\) | −8.66538 | + | 3.71026i | −0.722115 | + | 0.309188i | ||||
\(145\) | −20.5188 | + | 6.66697i | −1.70400 | + | 0.553662i | ||||
\(146\) | −7.81866 | + | 10.7615i | −0.647077 | + | 0.890625i | ||||
\(147\) | 5.40965 | − | 5.92216i | 0.446180 | − | 0.488452i | ||||
\(148\) | 0.437324 | − | 1.34594i | 0.0359478 | − | 0.110636i | ||||
\(149\) | −1.78735 | + | 5.50089i | −0.146425 | + | 0.450651i | −0.997192 | − | 0.0748936i | \(-0.976138\pi\) |
0.850766 | + | 0.525544i | \(0.176138\pi\) | |||||||
\(150\) | 7.43030 | − | 8.13425i | 0.606682 | − | 0.664159i | ||||
\(151\) | 6.68181 | − | 9.19672i | 0.543758 | − | 0.748419i | −0.445391 | − | 0.895336i | \(-0.646935\pi\) |
0.989149 | + | 0.146918i | \(0.0469352\pi\) | |||||||
\(152\) | 10.1623 | − | 3.30194i | 0.824274 | − | 0.267823i | ||||
\(153\) | −2.14177 | + | 0.917041i | −0.173152 | + | 0.0741384i | ||||
\(154\) | −6.52505 | + | 0.287000i | −0.525804 | + | 0.0231271i | ||||
\(155\) | − | 23.2742i | − | 1.86943i | ||||||
\(156\) | −0.546813 | + | 0.310502i | −0.0437801 | + | 0.0248600i | ||||
\(157\) | 1.52237 | + | 1.10606i | 0.121498 | + | 0.0882736i | 0.646875 | − | 0.762596i | \(-0.276076\pi\) |
−0.525377 | + | 0.850870i | \(0.676076\pi\) | |||||||
\(158\) | −6.59740 | − | 9.08054i | −0.524861 | − | 0.722409i | ||||
\(159\) | −14.3460 | − | 1.61180i | −1.13771 | − | 0.127824i | ||||
\(160\) | −6.08641 | − | 1.97759i | −0.481173 | − | 0.156343i | ||||
\(161\) | 0.929997 | − | 0.675683i | 0.0732941 | − | 0.0532513i | ||||
\(162\) | 11.3272 | − | 2.07043i | 0.889952 | − | 0.162668i | ||||
\(163\) | 6.33292 | + | 19.4907i | 0.496032 | + | 1.52663i | 0.815342 | + | 0.578980i | \(0.196549\pi\) |
−0.319310 | + | 0.947650i | \(0.603451\pi\) | |||||||
\(164\) | 0.0444073 | 0.00346763 | ||||||||
\(165\) | 1.23124 | − | 18.0982i | 0.0958522 | − | 1.40894i | ||||
\(166\) | −6.31520 | −0.490154 | ||||||||
\(167\) | −3.30524 | − | 10.1725i | −0.255767 | − | 0.787171i | −0.993678 | − | 0.112272i | \(-0.964187\pi\) |
0.737910 | − | 0.674899i | \(-0.235813\pi\) | |||||||
\(168\) | 3.33100 | − | 7.33961i | 0.256992 | − | 0.566263i | ||||
\(169\) | 0.809017 | − | 0.587785i | 0.0622321 | − | 0.0452143i | ||||
\(170\) | 2.98406 | + | 0.969581i | 0.228867 | + | 0.0743635i | ||||
\(171\) | −10.5594 | + | 0.957117i | −0.807501 | + | 0.0731926i | ||||
\(172\) | −1.74642 | − | 2.40374i | −0.133163 | − | 0.183284i | ||||
\(173\) | −11.3629 | − | 8.25561i | −0.863903 | − | 0.627663i | 0.0650407 | − | 0.997883i | \(-0.479282\pi\) |
−0.928944 | + | 0.370220i | \(0.879282\pi\) | |||||||
\(174\) | 7.47621 | + | 13.1661i | 0.566770 | + | 0.998117i | ||||
\(175\) | 7.65204i | 0.578440i | ||||||||
\(176\) | 9.76002 | − | 3.65271i | 0.735689 | − | 0.275334i | ||||
\(177\) | 1.33412 | + | 6.50534i | 0.100279 | + | 0.488971i | ||||
\(178\) | −10.8307 | + | 3.51910i | −0.811794 | + | 0.263768i | ||||
\(179\) | 3.52178 | − | 4.84731i | 0.263230 | − | 0.362305i | −0.656860 | − | 0.754013i | \(-0.728116\pi\) |
0.920090 | + | 0.391708i | \(0.128116\pi\) | |||||||
\(180\) | 2.95357 | + | 1.76213i | 0.220146 | + | 0.131342i | ||||
\(181\) | −0.268816 | + | 0.827331i | −0.0199809 | + | 0.0614950i | −0.960550 | − | 0.278108i | \(-0.910293\pi\) |
0.940569 | + | 0.339603i | \(0.110293\pi\) | |||||||
\(182\) | −0.608541 | + | 1.87290i | −0.0451081 | + | 0.138828i | ||||
\(183\) | 15.6338 | + | 14.2808i | 1.15568 | + | 1.05567i | ||||
\(184\) | −1.32722 | + | 1.82676i | −0.0978441 | + | 0.134671i | ||||
\(185\) | 11.7069 | − | 3.80379i | 0.860706 | − | 0.279660i | ||||
\(186\) | −16.0003 | + | 3.28135i | −1.17320 | + | 0.240601i | ||||
\(187\) | 2.41232 | − | 0.902818i | 0.176406 | − | 0.0660206i | ||||
\(188\) | − | 1.45764i | − | 0.106310i | ||||||
\(189\) | −4.83895 | + | 6.36787i | −0.351982 | + | 0.463194i | ||||
\(190\) | 11.5519 | + | 8.39292i | 0.838061 | + | 0.608887i | ||||
\(191\) | −1.88639 | − | 2.59639i | −0.136494 | − | 0.187868i | 0.735298 | − | 0.677744i | \(-0.237042\pi\) |
−0.871792 | + | 0.489876i | \(0.837042\pi\) | |||||||
\(192\) | −1.71668 | + | 15.2795i | −0.123891 | + | 1.10270i | ||||
\(193\) | 1.54793 | + | 0.502953i | 0.111422 | + | 0.0362034i | 0.364198 | − | 0.931322i | \(-0.381343\pi\) |
−0.252775 | + | 0.967525i | \(0.581343\pi\) | |||||||
\(194\) | 20.0312 | − | 14.5535i | 1.43816 | − | 1.04488i | ||||
\(195\) | −4.98050 | − | 2.26034i | −0.356661 | − | 0.161867i | ||||
\(196\) | −0.519537 | − | 1.59897i | −0.0371098 | − | 0.114212i | ||||
\(197\) | 20.6532 | 1.47148 | 0.735738 | − | 0.677266i | \(-0.236835\pi\) | ||||
0.735738 | + | 0.677266i | \(0.236835\pi\) | |||||||
\(198\) | −12.6155 | + | 1.70516i | −0.896543 | + | 0.121180i | ||||
\(199\) | −2.66709 | −0.189065 | −0.0945325 | − | 0.995522i | \(-0.530136\pi\) | ||||
−0.0945325 | + | 0.995522i | \(0.530136\pi\) | |||||||
\(200\) | −4.64473 | − | 14.2950i | −0.328432 | − | 1.01081i | ||||
\(201\) | −21.0723 | − | 9.56345i | −1.48633 | − | 0.674554i | ||||
\(202\) | 19.9600 | − | 14.5018i | 1.40438 | − | 1.02034i | ||||
\(203\) | −10.0014 | − | 3.24966i | −0.701963 | − | 0.228082i | ||||
\(204\) | −0.0545240 | + | 0.485297i | −0.00381744 | + | 0.0339776i | ||||
\(205\) | 0.227032 | + | 0.312483i | 0.0158566 | + | 0.0218247i | ||||
\(206\) | 10.7448 | + | 7.80652i | 0.748622 | + | 0.543906i | ||||
\(207\) | 1.68636 | − | 1.47522i | 0.117210 | − | 0.102535i | ||||
\(208\) | − | 3.14209i | − | 0.217865i | ||||||
\(209\) | 11.7104 | − | 0.515075i | 0.810028 | − | 0.0356285i | ||||
\(210\) | 10.5512 | − | 2.16386i | 0.728103 | − | 0.149320i | ||||
\(211\) | −12.7033 | + | 4.12755i | −0.874532 | + | 0.284153i | −0.711685 | − | 0.702499i | \(-0.752068\pi\) |
−0.162847 | + | 0.986651i | \(0.552068\pi\) | |||||||
\(212\) | −1.77860 | + | 2.44803i | −0.122155 | + | 0.168132i | ||||
\(213\) | −5.09703 | − | 4.65593i | −0.349243 | − | 0.319019i | ||||
\(214\) | 6.77939 | − | 20.8648i | 0.463429 | − | 1.42629i | ||||
\(215\) | 7.98594 | − | 24.5782i | 0.544637 | − | 1.67622i | ||||
\(216\) | 5.17454 | − | 14.8332i | 0.352083 | − | 1.00927i | ||||
\(217\) | 6.66812 | − | 9.17788i | 0.452661 | − | 0.623035i | ||||
\(218\) | −7.16089 | + | 2.32671i | −0.484997 | + | 0.157585i | ||||
\(219\) | −3.61773 | − | 17.6405i | −0.244464 | − | 1.19203i | ||||
\(220\) | −3.17134 | − | 2.09759i | −0.213812 | − | 0.141420i | ||||
\(221\) | − | 0.776612i | − | 0.0522405i | ||||||
\(222\) | −4.26550 | − | 7.51181i | −0.286281 | − | 0.504159i | ||||
\(223\) | −3.76876 | − | 2.73816i | −0.252375 | − | 0.183361i | 0.454404 | − | 0.890796i | \(-0.349852\pi\) |
−0.706779 | + | 0.707435i | \(0.749852\pi\) | |||||||
\(224\) | −1.83351 | − | 2.52361i | −0.122506 | − | 0.168616i | ||||
\(225\) | 1.34634 | + | 14.8536i | 0.0897562 | + | 0.990240i | ||||
\(226\) | 20.6787 | + | 6.71892i | 1.37553 | + | 0.446936i | ||||
\(227\) | 0.902515 | − | 0.655715i | 0.0599020 | − | 0.0435214i | −0.557431 | − | 0.830223i | \(-0.688213\pi\) |
0.617333 | + | 0.786702i | \(0.288213\pi\) | |||||||
\(228\) | −0.918455 | + | 2.02374i | −0.0608261 | + | 0.134026i | ||||
\(229\) | −3.28187 | − | 10.1005i | −0.216872 | − | 0.667463i | −0.999015 | − | 0.0443647i | \(-0.985874\pi\) |
0.782144 | − | 0.623098i | \(-0.214126\pi\) | |||||||
\(230\) | −3.01740 | −0.198961 | ||||||||
\(231\) | 5.67069 | − | 6.78402i | 0.373104 | − | 0.446355i | ||||
\(232\) | 20.6565 | 1.35617 | ||||||||
\(233\) | −2.46709 | − | 7.59293i | −0.161625 | − | 0.497429i | 0.837147 | − | 0.546978i | \(-0.184222\pi\) |
−0.998772 | + | 0.0495484i | \(0.984222\pi\) | |||||||
\(234\) | −0.851729 | + | 3.74261i | −0.0556793 | + | 0.244662i | ||||
\(235\) | 10.2571 | − | 7.45219i | 0.669097 | − | 0.486127i | ||||
\(236\) | 1.32382 | + | 0.430134i | 0.0861732 | + | 0.0279994i | ||||
\(237\) | 15.0999 | + | 1.69650i | 0.980841 | + | 0.110199i | ||||
\(238\) | 0.898938 | + | 1.23728i | 0.0582695 | + | 0.0802011i | ||||
\(239\) | 14.5787 | + | 10.5920i | 0.943016 | + | 0.685141i | 0.949145 | − | 0.314840i | \(-0.101951\pi\) |
−0.00612912 | + | 0.999981i | \(0.501951\pi\) | |||||||
\(240\) | −14.9442 | + | 8.48588i | −0.964642 | + | 0.547761i | ||||
\(241\) | − | 4.94738i | − | 0.318689i | −0.987223 | − | 0.159344i | \(-0.949062\pi\) | ||
0.987223 | − | 0.159344i | \(-0.0509380\pi\) | |||||||
\(242\) | 14.0194 | − | 1.23566i | 0.901202 | − | 0.0794311i | ||||
\(243\) | −8.27263 | + | 13.2123i | −0.530689 | + | 0.847566i | ||||
\(244\) | 4.22109 | − | 1.37151i | 0.270227 | − | 0.0878022i | ||||
\(245\) | 8.59540 | − | 11.8306i | 0.549140 | − | 0.755827i | ||||
\(246\) | 0.182813 | − | 0.200133i | 0.0116557 | − | 0.0127600i | ||||
\(247\) | 1.09214 | − | 3.36127i | 0.0694913 | − | 0.213872i | ||||
\(248\) | −6.88601 | + | 21.1930i | −0.437262 | + | 1.34575i | ||||
\(249\) | 5.76595 | − | 6.31222i | 0.365402 | − | 0.400021i | ||||
\(250\) | −0.0676860 | + | 0.0931617i | −0.00428084 | + | 0.00589207i | ||||
\(251\) | 0.767082 | − | 0.249240i | 0.0484178 | − | 0.0157319i | −0.284708 | − | 0.958614i | \(-0.591897\pi\) |
0.333126 | + | 0.942882i | \(0.391897\pi\) | |||||||
\(252\) | 0.659844 | + | 1.54108i | 0.0415663 | + | 0.0970788i | ||||
\(253\) | −1.93804 | + | 1.54261i | −0.121844 | + | 0.0969831i | ||||
\(254\) | − | 9.37307i | − | 0.588118i | ||||||
\(255\) | −3.69366 | + | 2.09740i | −0.231306 | + | 0.131344i | ||||
\(256\) | 6.80280 | + | 4.94252i | 0.425175 | + | 0.308908i | ||||
\(257\) | −4.56184 | − | 6.27884i | −0.284560 | − | 0.391663i | 0.642678 | − | 0.766137i | \(-0.277823\pi\) |
−0.927238 | + | 0.374474i | \(0.877823\pi\) | |||||||
\(258\) | −18.0226 | − | 2.02488i | −1.12204 | − | 0.126063i | ||||
\(259\) | 5.70624 | + | 1.85407i | 0.354569 | + | 0.115206i | ||||
\(260\) | −0.927480 | + | 0.673854i | −0.0575199 | + | 0.0417906i | ||||
\(261\) | −19.9858 | − | 4.54831i | −1.23709 | − | 0.281533i | ||||
\(262\) | −2.59314 | − | 7.98086i | −0.160205 | − | 0.493059i | ||||
\(263\) | −2.42408 | −0.149475 | −0.0747377 | − | 0.997203i | \(-0.523812\pi\) | ||||
−0.0747377 | + | 0.997203i | \(0.523812\pi\) | |||||||
\(264\) | −6.47575 | + | 16.1155i | −0.398555 | + | 0.991840i | ||||
\(265\) | −26.3192 | −1.61678 | ||||||||
\(266\) | 2.15073 | + | 6.61928i | 0.131870 | + | 0.405854i | ||||
\(267\) | 6.37127 | − | 14.0386i | 0.389915 | − | 0.859149i | ||||
\(268\) | −3.92414 | + | 2.85106i | −0.239705 | + | 0.174156i | ||||
\(269\) | 25.9005 | + | 8.41559i | 1.57918 | + | 0.513108i | 0.961846 | − | 0.273592i | \(-0.0882117\pi\) |
0.617337 | + | 0.786699i | \(0.288212\pi\) | |||||||
\(270\) | 20.1006 | − | 6.05677i | 1.22328 | − | 0.368603i | ||||
\(271\) | −3.28950 | − | 4.52761i | −0.199823 | − | 0.275033i | 0.697332 | − | 0.716748i | \(-0.254370\pi\) |
−0.897155 | + | 0.441715i | \(0.854370\pi\) | |||||||
\(272\) | −1.97415 | − | 1.43431i | −0.119701 | − | 0.0869676i | ||||
\(273\) | −1.31640 | − | 2.31826i | −0.0796721 | − | 0.140308i | ||||
\(274\) | 3.37951i | 0.204164i | ||||||||
\(275\) | −0.724538 | − | 16.4727i | −0.0436913 | − | 0.993339i | ||||
\(276\) | −0.0943499 | − | 0.460061i | −0.00567920 | − | 0.0276924i | ||||
\(277\) | −25.4338 | + | 8.26395i | −1.52817 | + | 0.496533i | −0.948083 | − | 0.318022i | \(-0.896981\pi\) |
−0.580087 | + | 0.814555i | \(0.696981\pi\) | |||||||
\(278\) | −9.32059 | + | 12.8287i | −0.559012 | + | 0.769414i | ||||
\(279\) | 11.3289 | − | 18.9887i | 0.678242 | − | 1.13682i | ||||
\(280\) | 4.54091 | − | 13.9755i | 0.271371 | − | 0.835195i | ||||
\(281\) | −0.778141 | + | 2.39487i | −0.0464200 | + | 0.142866i | −0.971580 | − | 0.236711i | \(-0.923931\pi\) |
0.925160 | + | 0.379577i | \(0.123931\pi\) | |||||||
\(282\) | −6.56925 | − | 6.00073i | −0.391193 | − | 0.357338i | ||||
\(283\) | 7.23064 | − | 9.95212i | 0.429817 | − | 0.591592i | −0.538094 | − | 0.842885i | \(-0.680856\pi\) |
0.967911 | + | 0.251293i | \(0.0808556\pi\) | |||||||
\(284\) | −1.37619 | + | 0.447150i | −0.0816617 | + | 0.0265335i | ||||
\(285\) | −18.9361 | + | 3.88345i | −1.12168 | + | 0.230036i | ||||
\(286\) | 1.13268 | − | 4.08944i | 0.0669768 | − | 0.241813i | ||||
\(287\) | 0.188269i | 0.0111131i | ||||||||
\(288\) | −4.00310 | − | 4.57606i | −0.235885 | − | 0.269647i | ||||
\(289\) | 13.2654 | + | 9.63784i | 0.780315 | + | 0.566932i | ||||
\(290\) | 16.2249 | + | 22.3317i | 0.952760 | + | 1.31136i | ||||
\(291\) | −3.74239 | + | 33.3096i | −0.219383 | + | 1.95264i | ||||
\(292\) | −3.58979 | − | 1.16639i | −0.210076 | − | 0.0682580i | ||||
\(293\) | −17.2367 | + | 12.5232i | −1.00698 | + | 0.731614i | −0.963574 | − | 0.267444i | \(-0.913821\pi\) |
−0.0434066 | + | 0.999057i | \(0.513821\pi\) | |||||||
\(294\) | −9.34496 | − | 4.24111i | −0.545009 | − | 0.247346i | ||||
\(295\) | 3.74126 | + | 11.5144i | 0.217824 | + | 0.670395i | ||||
\(296\) | −11.7854 | −0.685013 | ||||||||
\(297\) | 9.81393 | − | 14.1664i | 0.569462 | − | 0.822018i | ||||
\(298\) | 7.40022 | 0.428683 | ||||||||
\(299\) | 0.230790 | + | 0.710298i | 0.0133469 | + | 0.0410776i | ||||
\(300\) | 2.84673 | + | 1.29196i | 0.164356 | + | 0.0745912i | ||||
\(301\) | 10.1909 | − | 7.40410i | 0.587392 | − | 0.426765i | ||||
\(302\) | −13.8325 | − | 4.49444i | −0.795969 | − | 0.258626i | ||||
\(303\) | −3.72908 | + | 33.1911i | −0.214230 | + | 1.90678i | ||||
\(304\) | −6.52731 | − | 8.98408i | −0.374367 | − | 0.515272i | ||||
\(305\) | 31.2312 | + | 22.6908i | 1.78830 | + | 1.29927i | ||||
\(306\) | 1.96265 | + | 2.24356i | 0.112197 | + | 0.128256i | ||||
\(307\) | 9.49541i | 0.541932i | 0.962589 | + | 0.270966i | \(0.0873430\pi\) | ||||
−0.962589 | + | 0.270966i | \(0.912657\pi\) | |||||||
\(308\) | −0.649610 | − | 1.73575i | −0.0370150 | − | 0.0989037i | ||||
\(309\) | −17.6131 | + | 3.61212i | −1.00197 | + | 0.205486i | ||||
\(310\) | −28.3204 | + | 9.20185i | −1.60849 | + | 0.522630i | ||||
\(311\) | 19.7393 | − | 27.1688i | 1.11931 | − | 1.54060i | 0.312385 | − | 0.949955i | \(-0.398872\pi\) |
0.806929 | − | 0.590649i | \(-0.201128\pi\) | |||||||
\(312\) | 3.86637 | + | 3.53177i | 0.218890 | + | 0.199947i | ||||
\(313\) | −2.08297 | + | 6.41074i | −0.117737 | + | 0.362356i | −0.992508 | − | 0.122180i | \(-0.961012\pi\) |
0.874771 | + | 0.484536i | \(0.161012\pi\) | |||||||
\(314\) | 0.743981 | − | 2.28974i | 0.0419853 | − | 0.129217i | ||||
\(315\) | −7.47071 | + | 12.5219i | −0.420927 | + | 0.705529i | ||||
\(316\) | 1.87207 | − | 2.57668i | 0.105312 | − | 0.144950i | ||||
\(317\) | 30.9225 | − | 10.0473i | 1.73678 | − | 0.564314i | 0.742378 | − | 0.669981i | \(-0.233698\pi\) |
0.994402 | + | 0.105667i | \(0.0336977\pi\) | |||||||
\(318\) | 3.71066 | + | 18.0936i | 0.208084 | + | 1.01464i | ||||
\(319\) | 21.8379 | + | 6.04861i | 1.22269 | + | 0.338657i | ||||
\(320\) | 28.0319i | 1.56703i | ||||||||
\(321\) | 14.6652 | + | 25.8263i | 0.818532 | + | 1.44149i | ||||
\(322\) | −1.18987 | − | 0.864491i | −0.0663088 | − | 0.0481762i | ||||
\(323\) | −1.61332 | − | 2.22054i | −0.0897672 | − | 0.123554i | ||||
\(324\) | 1.55199 | + | 2.87534i | 0.0862217 | + | 0.159741i | ||||
\(325\) | −4.72818 | − | 1.53628i | −0.262272 | − | 0.0852173i | ||||
\(326\) | 21.2127 | − | 15.4120i | 1.17486 | − | 0.853589i | ||||
\(327\) | 4.21247 | − | 9.28187i | 0.232950 | − | 0.513288i | ||||
\(328\) | −0.114278 | − | 0.351710i | −0.00630992 | − | 0.0194199i | ||||
\(329\) | 6.17980 | 0.340704 | ||||||||
\(330\) | −22.5089 | + | 5.65722i | −1.23907 | + | 0.311419i | ||||
\(331\) | −4.48121 | −0.246309 | −0.123155 | − | 0.992387i | \(-0.539301\pi\) | ||||
−0.123155 | + | 0.992387i | \(0.539301\pi\) | |||||||
\(332\) | −0.553756 | − | 1.70428i | −0.0303913 | − | 0.0935348i | ||||
\(333\) | 11.4028 | + | 2.59500i | 0.624868 | + | 0.142205i | ||||
\(334\) | −11.0712 | + | 8.04372i | −0.605791 | + | 0.440133i | ||||
\(335\) | −40.1242 | − | 13.0372i | −2.19222 | − | 0.712296i | ||||
\(336\) | −8.32426 | − | 0.935247i | −0.454126 | − | 0.0510219i | ||||
\(337\) | 5.33545 | + | 7.34361i | 0.290640 | + | 0.400032i | 0.929222 | − | 0.369522i | \(-0.120479\pi\) |
−0.638582 | + | 0.769554i | \(0.720479\pi\) | |||||||
\(338\) | −1.03508 | − | 0.752032i | −0.0563011 | − | 0.0409052i | ||||
\(339\) | −25.5960 | + | 14.5344i | −1.39018 | + | 0.789400i | ||||
\(340\) | 0.890329i | 0.0482849i | ||||||||
\(341\) | −13.4856 | + | 20.3887i | −0.730284 | + | 1.10411i | ||||
\(342\) | 5.33949 | + | 12.4705i | 0.288726 | + | 0.674326i | ||||
\(343\) | 17.0259 | − | 5.53205i | 0.919312 | − | 0.298703i | ||||
\(344\) | −14.5436 | + | 20.0176i | −0.784140 | + | 1.07928i | ||||
\(345\) | 2.75497 | − | 3.01597i | 0.148322 | − | 0.162374i | ||||
\(346\) | −5.55304 | + | 17.0905i | −0.298533 | + | 0.918791i | ||||
\(347\) | −0.593420 | + | 1.82636i | −0.0318565 | + | 0.0980441i | −0.965720 | − | 0.259584i | \(-0.916415\pi\) |
0.933864 | + | 0.357628i | \(0.116415\pi\) | |||||||
\(348\) | −2.89757 | + | 3.17209i | −0.155326 | + | 0.170042i | ||||
\(349\) | 10.4070 | − | 14.3240i | 0.557073 | − | 0.766745i | −0.433878 | − | 0.900972i | \(-0.642855\pi\) |
0.990951 | + | 0.134227i | \(0.0428550\pi\) | |||||||
\(350\) | 9.31110 | − | 3.02536i | 0.497699 | − | 0.161712i | ||||
\(351\) | −2.96319 | − | 4.26843i | −0.158163 | − | 0.227832i | ||||
\(352\) | 4.18597 | + | 5.25901i | 0.223113 | + | 0.280306i | ||||
\(353\) | 20.8364i | 1.10901i | 0.832181 | + | 0.554504i | \(0.187092\pi\) | ||||
−0.832181 | + | 0.554504i | \(0.812908\pi\) | |||||||
\(354\) | 7.38831 | − | 4.19537i | 0.392684 | − | 0.222981i | ||||
\(355\) | −10.1822 | − | 7.39782i | −0.540416 | − | 0.392635i | ||||
\(356\) | −1.89940 | − | 2.61430i | −0.100668 | − | 0.138558i | ||||
\(357\) | −2.05745 | − | 0.231159i | −0.108892 | − | 0.0122342i | ||||
\(358\) | −7.29067 | − | 2.36888i | −0.385324 | − | 0.125199i | ||||
\(359\) | −15.8719 | + | 11.5316i | −0.837684 | + | 0.608613i | −0.921723 | − | 0.387849i | \(-0.873218\pi\) |
0.0840385 | + | 0.996463i | \(0.473218\pi\) | |||||||
\(360\) | 6.35557 | − | 27.9272i | 0.334968 | − | 1.47189i | ||||
\(361\) | 2.01143 | + | 6.19053i | 0.105865 | + | 0.325818i | ||||
\(362\) | 1.11299 | 0.0584974 | ||||||||
\(363\) | −11.5650 | + | 15.1410i | −0.607007 | + | 0.794696i | ||||
\(364\) | −0.558800 | −0.0292891 | ||||||||
\(365\) | −10.1451 | − | 31.2235i | −0.531021 | − | 1.63432i | ||||
\(366\) | 11.1960 | − | 24.6696i | 0.585225 | − | 1.28950i | ||||
\(367\) | −1.36578 | + | 0.992299i | −0.0712933 | + | 0.0517976i | −0.622861 | − | 0.782332i | \(-0.714030\pi\) |
0.551568 | + | 0.834130i | \(0.314030\pi\) | |||||||
\(368\) | 2.23182 | + | 0.725163i | 0.116342 | + | 0.0378018i | ||||
\(369\) | 0.0331250 | + | 0.365454i | 0.00172442 | + | 0.0190248i | ||||
\(370\) | −9.25701 | − | 12.7412i | −0.481249 | − | 0.662383i | ||||
\(371\) | −10.3786 | − | 7.54052i | −0.538832 | − | 0.391484i | ||||
\(372\) | −2.28854 | − | 4.03027i | −0.118655 | − | 0.208960i | ||||
\(373\) | 31.5990i | 1.63613i | 0.575124 | + | 0.818066i | \(0.304954\pi\) | ||||
−0.575124 | + | 0.818066i | \(0.695046\pi\) | |||||||
\(374\) | −2.05231 | − | 2.57840i | −0.106123 | − | 0.133326i | ||||
\(375\) | −0.0313186 | − | 0.152713i | −0.00161729 | − | 0.00788608i | ||||
\(376\) | −11.5447 | + | 3.75109i | −0.595371 | + | 0.193448i | ||||
\(377\) | 4.01592 | − | 5.52744i | 0.206830 | − | 0.284677i | ||||
\(378\) | 9.66166 | + | 3.37045i | 0.496942 | + | 0.173357i | ||||
\(379\) | 1.99319 | − | 6.13441i | 0.102383 | − | 0.315104i | −0.886724 | − | 0.462299i | \(-0.847025\pi\) |
0.989107 | + | 0.147195i | \(0.0470246\pi\) | |||||||
\(380\) | −1.25206 | + | 3.85345i | −0.0642294 | + | 0.197678i | ||||
\(381\) | 9.36865 | + | 8.55787i | 0.479970 | + | 0.438433i | ||||
\(382\) | −2.41351 | + | 3.32191i | −0.123486 | + | 0.169964i | ||||
\(383\) | −31.8261 | + | 10.3409i | −1.62624 | + | 0.528396i | −0.973402 | − | 0.229104i | \(-0.926420\pi\) |
−0.652835 | + | 0.757500i | \(0.726420\pi\) | |||||||
\(384\) | 12.3937 | − | 2.54172i | 0.632463 | − | 0.129706i | ||||
\(385\) | 8.89291 | − | 13.4451i | 0.453225 | − | 0.685228i | ||||
\(386\) | − | 2.08239i | − | 0.105991i | ||||||
\(387\) | 18.4791 | − | 16.1654i | 0.939345 | − | 0.821731i | ||||
\(388\) | 5.68403 | + | 4.12969i | 0.288563 | + | 0.209653i | ||||
\(389\) | −3.80948 | − | 5.24329i | −0.193148 | − | 0.265846i | 0.701449 | − | 0.712720i | \(-0.252537\pi\) |
−0.894597 | + | 0.446875i | \(0.852537\pi\) | |||||||
\(390\) | −0.781295 | + | 6.95400i | −0.0395624 | + | 0.352129i | ||||
\(391\) | 0.551626 | + | 0.179234i | 0.0278969 | + | 0.00906426i | ||||
\(392\) | −11.3270 | + | 8.22956i | −0.572101 | + | 0.415656i | ||||
\(393\) | 10.3447 | + | 4.69483i | 0.521821 | + | 0.236823i | ||||
\(394\) | −8.16557 | − | 25.1310i | −0.411376 | − | 1.26608i | ||||
\(395\) | 27.7023 | 1.39386 | ||||||||
\(396\) | −1.56638 | − | 3.25503i | −0.0787134 | − | 0.163571i | ||||
\(397\) | −27.0609 | −1.35815 | −0.679074 | − | 0.734070i | \(-0.737618\pi\) | ||||
−0.679074 | + | 0.734070i | \(0.737618\pi\) | |||||||
\(398\) | 1.05448 | + | 3.24535i | 0.0528562 | + | 0.162675i | ||||
\(399\) | −8.57983 | − | 3.89386i | −0.429529 | − | 0.194937i | ||||
\(400\) | −12.6376 | + | 9.18174i | −0.631879 | + | 0.459087i | ||||
\(401\) | 13.7066 | + | 4.45354i | 0.684474 | + | 0.222399i | 0.630553 | − | 0.776146i | \(-0.282828\pi\) |
0.0539207 | + | 0.998545i | \(0.482828\pi\) | |||||||
\(402\) | −3.30564 | + | 29.4222i | −0.164870 | + | 1.46744i | ||||
\(403\) | 4.33225 | + | 5.96283i | 0.215805 | + | 0.297030i | ||||
\(404\) | 5.66381 | + | 4.11500i | 0.281785 | + | 0.204729i | ||||
\(405\) | −12.2985 | + | 25.6211i | −0.611115 | + | 1.27312i | ||||
\(406\) | 13.4547i | 0.667745i | ||||||||
\(407\) | −12.4595 | − | 3.45099i | −0.617593 | − | 0.171059i | ||||
\(408\) | 3.98391 | − | 0.817024i | 0.197233 | − | 0.0404487i | ||||
\(409\) | 15.0126 | − | 4.87789i | 0.742326 | − | 0.241196i | 0.0866501 | − | 0.996239i | \(-0.472384\pi\) |
0.655676 | + | 0.755042i | \(0.272384\pi\) | |||||||
\(410\) | 0.290472 | − | 0.399801i | 0.0143454 | − | 0.0197447i | ||||
\(411\) | −3.37792 | − | 3.08559i | −0.166620 | − | 0.152201i | ||||
\(412\) | −1.16458 | + | 3.58422i | −0.0573748 | + | 0.176582i | ||||
\(413\) | −1.82359 | + | 5.61243i | −0.0897330 | + | 0.276170i | ||||
\(414\) | −2.46180 | − | 1.46874i | −0.120991 | − | 0.0721845i | ||||
\(415\) | 9.16153 | − | 12.6098i | 0.449722 | − | 0.618989i | ||||
\(416\) | 1.92744 | − | 0.626263i | 0.0945005 | − | 0.0307051i | ||||
\(417\) | −4.31268 | − | 21.0291i | −0.211193 | − | 1.02980i | ||||
\(418\) | −5.25667 | − | 14.0458i | −0.257112 | − | 0.687002i | ||||
\(419\) | − | 35.0590i | − | 1.71274i | −0.516359 | − | 0.856372i | \(-0.672713\pi\) | ||
0.516359 | − | 0.856372i | \(-0.327287\pi\) | |||||||
\(420\) | 1.50916 | + | 2.65772i | 0.0736393 | + | 0.129683i | ||||
\(421\) | −27.2482 | − | 19.7970i | −1.32799 | − | 0.964844i | −0.999795 | − | 0.0202359i | \(-0.993558\pi\) |
−0.328199 | − | 0.944609i | \(-0.606442\pi\) | |||||||
\(422\) | 10.0449 | + | 13.8257i | 0.488979 | + | 0.673022i | ||||
\(423\) | 11.9958 | − | 1.08731i | 0.583256 | − | 0.0528668i | ||||
\(424\) | 23.9657 | + | 7.78693i | 1.16388 | + | 0.378167i | ||||
\(425\) | −3.12355 | + | 2.26939i | −0.151515 | + | 0.110082i | ||||
\(426\) | −3.65020 | + | 8.04294i | −0.176853 | + | 0.389682i | ||||
\(427\) | 5.81465 | + | 17.8956i | 0.281391 | + | 0.866031i | ||||
\(428\) | 6.22526 | 0.300909 | ||||||||
\(429\) | 3.05334 | + | 4.86591i | 0.147417 | + | 0.234929i | ||||
\(430\) | −33.0645 | −1.59451 | ||||||||
\(431\) | −5.84048 | − | 17.9752i | −0.281326 | − | 0.865833i | −0.987476 | − | 0.157770i | \(-0.949569\pi\) |
0.706150 | − | 0.708063i | \(-0.250431\pi\) | |||||||
\(432\) | −16.3230 | − | 0.350818i | −0.785342 | − | 0.0168787i | ||||
\(433\) | 31.8740 | − | 23.1578i | 1.53177 | − | 1.11289i | 0.576521 | − | 0.817082i | \(-0.304410\pi\) |
0.955246 | − | 0.295812i | \(-0.0955901\pi\) | |||||||
\(434\) | −13.8041 | − | 4.48523i | −0.662619 | − | 0.215298i | ||||
\(435\) | −37.1350 | − | 4.17218i | −1.78049 | − | 0.200041i | ||||
\(436\) | −1.25582 | − | 1.72849i | −0.0601430 | − | 0.0827797i | ||||
\(437\) | 2.13545 | + | 1.55149i | 0.102152 | + | 0.0742179i | ||||
\(438\) | −20.0348 | + | 11.3766i | −0.957302 | + | 0.543593i | ||||
\(439\) | − | 24.0569i | − | 1.14817i | −0.818795 | − | 0.574086i | \(-0.805357\pi\) | ||
0.818795 | − | 0.574086i | \(-0.194643\pi\) | |||||||
\(440\) | −8.45202 | + | 30.5152i | −0.402934 | + | 1.45476i | ||||
\(441\) | 12.7713 | − | 5.46830i | 0.608158 | − | 0.260395i | ||||
\(442\) | −0.944991 | + | 0.307046i | −0.0449487 | + | 0.0146047i | ||||
\(443\) | 12.9764 | − | 17.8604i | 0.616526 | − | 0.848575i | −0.380568 | − | 0.924753i | \(-0.624272\pi\) |
0.997094 | + | 0.0761777i | \(0.0242716\pi\) | |||||||
\(444\) | 1.65319 | − | 1.80981i | 0.0784569 | − | 0.0858899i | ||||
\(445\) | 8.68549 | − | 26.7312i | 0.411732 | − | 1.26718i | ||||
\(446\) | −1.84179 | + | 5.66846i | −0.0872114 | + | 0.268409i | ||||
\(447\) | −6.75661 | + | 7.39673i | −0.319576 | + | 0.349853i | ||||
\(448\) | −8.03121 | + | 11.0540i | −0.379439 | + | 0.522253i | ||||
\(449\) | 21.8196 | − | 7.08962i | 1.02973 | − | 0.334580i | 0.255047 | − | 0.966929i | \(-0.417909\pi\) |
0.774684 | + | 0.632349i | \(0.217909\pi\) | |||||||
\(450\) | 17.5418 | − | 7.51087i | 0.826927 | − | 0.354066i | ||||
\(451\) | −0.0178263 | − | 0.405289i | −0.000839409 | − | 0.0190843i | ||||
\(452\) | 6.16973i | 0.290200i | ||||||||
\(453\) | 17.1217 | − | 9.72239i | 0.804450 | − | 0.456798i | ||||
\(454\) | −1.15471 | − | 0.838944i | −0.0541931 | − | 0.0393736i | ||||
\(455\) | −2.85686 | − | 3.93213i | −0.133932 | − | 0.184341i | ||||
\(456\) | 18.3918 | + | 2.06635i | 0.861275 | + | 0.0967658i | ||||
\(457\) | 35.7743 | + | 11.6238i | 1.67345 | + | 0.543738i | 0.983624 | − | 0.180235i | \(-0.0576859\pi\) |
0.689829 | + | 0.723973i | \(0.257686\pi\) | |||||||
\(458\) | −10.9929 | + | 7.98684i | −0.513666 | + | 0.373201i | ||||
\(459\) | −4.03446 | − | 0.0867094i | −0.188312 | − | 0.00404725i | ||||
\(460\) | −0.264584 | − | 0.814306i | −0.0123363 | − | 0.0379672i | ||||
\(461\) | 21.0240 | 0.979186 | 0.489593 | − | 0.871951i | \(-0.337145\pi\) | ||||
0.489593 | + | 0.871951i | \(0.337145\pi\) | |||||||
\(462\) | −10.4969 | − | 4.21800i | −0.488359 | − | 0.196239i | ||||
\(463\) | −37.4990 | −1.74273 | −0.871363 | − | 0.490639i | \(-0.836763\pi\) | ||||
−0.871363 | + | 0.490639i | \(0.836763\pi\) | |||||||
\(464\) | −6.63388 | − | 20.4170i | −0.307970 | − | 0.947835i | ||||
\(465\) | 16.6598 | − | 36.7086i | 0.772579 | − | 1.70232i | ||||
\(466\) | −8.26377 | + | 6.00398i | −0.382812 | + | 0.278129i | ||||
\(467\) | 23.0919 | + | 7.50303i | 1.06857 | + | 0.347199i | 0.789930 | − | 0.613198i | \(-0.210117\pi\) |
0.278638 | + | 0.960396i | \(0.410117\pi\) | |||||||
\(468\) | −1.08470 | + | 0.0983185i | −0.0501405 | + | 0.00454477i | ||||
\(469\) | −12.0873 | − | 16.6367i | −0.558139 | − | 0.768212i | ||||
\(470\) | −13.1232 | − | 9.53458i | −0.605329 | − | 0.439797i | ||||
\(471\) | 1.60938 | + | 2.83422i | 0.0741564 | + | 0.130594i | ||||
\(472\) | − | 11.5917i | − | 0.533549i | ||||||
\(473\) | −21.2370 | + | 16.9039i | −0.976478 | + | 0.777240i | ||||
\(474\) | −3.90566 | − | 19.0444i | −0.179393 | − | 0.874741i | ||||
\(475\) | −16.7105 | + | 5.42958i | −0.766732 | + | 0.249126i | ||||
\(476\) | −0.255081 | + | 0.351090i | −0.0116916 | + | 0.0160922i | ||||
\(477\) | −21.4730 | − | 12.8111i | −0.983182 | − | 0.586578i | ||||
\(478\) | 7.12460 | − | 21.9272i | 0.325871 | − | 1.00293i | ||||
\(479\) | 4.04291 | − | 12.4428i | 0.184725 | − | 0.568526i | −0.815218 | − | 0.579154i | \(-0.803383\pi\) |
0.999944 | + | 0.0106278i | \(0.00338300\pi\) | |||||||
\(480\) | −8.18404 | − | 7.47578i | −0.373548 | − | 0.341221i | ||||
\(481\) | −2.29125 | + | 3.15364i | −0.104472 | + | 0.143794i | ||||
\(482\) | −6.02004 | + | 1.95603i | −0.274205 | + | 0.0890947i | ||||
\(483\) | 1.95047 | − | 0.400004i | 0.0887493 | − | 0.0182008i | ||||
\(484\) | 1.56278 | + | 3.67508i | 0.0710353 | + | 0.167049i | ||||
\(485\) | 61.1100i | 2.77486i | ||||||||
\(486\) | 19.3476 | + | 4.84256i | 0.877624 | + | 0.219663i | ||||
\(487\) | −11.3699 | − | 8.26073i | −0.515220 | − | 0.374329i | 0.299580 | − | 0.954071i | \(-0.403153\pi\) |
−0.814800 | + | 0.579742i | \(0.803153\pi\) | |||||||
\(488\) | −21.7250 | − | 29.9020i | −0.983446 | − | 1.35360i | ||||
\(489\) | −3.96313 | + | 35.2743i | −0.179219 | + | 1.59516i | ||||
\(490\) | −17.7939 | − | 5.78159i | −0.803847 | − | 0.261186i | ||||
\(491\) | 5.40930 | − | 3.93009i | 0.244118 | − | 0.177362i | −0.458998 | − | 0.888437i | \(-0.651791\pi\) |
0.703116 | + | 0.711075i | \(0.251791\pi\) | |||||||
\(492\) | 0.0700401 | + | 0.0317870i | 0.00315765 | + | 0.00143307i | ||||
\(493\) | −1.63965 | − | 5.04634i | −0.0738463 | − | 0.227276i | ||||
\(494\) | −4.52183 | −0.203447 | ||||||||
\(495\) | 14.8967 | − | 27.6635i | 0.669556 | − | 1.24338i | ||||
\(496\) | 23.1587 | 1.03986 | ||||||||
\(497\) | −1.89573 | − | 5.83446i | −0.0850352 | − | 0.261711i | ||||
\(498\) | −9.96046 | − | 4.52045i | −0.446339 | − | 0.202566i | ||||
\(499\) | 18.7796 | − | 13.6442i | 0.840692 | − | 0.610799i | −0.0818716 | − | 0.996643i | \(-0.526090\pi\) |
0.922564 | + | 0.385844i | \(0.126090\pi\) | |||||||
\(500\) | −0.0310767 | − | 0.0100974i | −0.00138979 | − | 0.000451571i | ||||
\(501\) | 2.06842 | − | 18.4102i | 0.0924100 | − | 0.822505i | ||||
\(502\) | −0.606557 | − | 0.834854i | −0.0270720 | − | 0.0372614i | ||||
\(503\) | −21.5369 | − | 15.6475i | −0.960283 | − | 0.697686i | −0.00706648 | − | 0.999975i | \(-0.502249\pi\) |
−0.953216 | + | 0.302289i | \(0.902249\pi\) | |||||||
\(504\) | 10.5074 | − | 9.19183i | 0.468039 | − | 0.409437i | ||||
\(505\) | 60.8926i | 2.70969i | ||||||||
\(506\) | 2.64331 | + | 1.74834i | 0.117509 | + | 0.0777232i | ||||
\(507\) | 1.69674 | − | 0.347969i | 0.0753548 | − | 0.0154538i | ||||
\(508\) | 2.52951 | − | 0.821889i | 0.112229 | − | 0.0364654i | ||||
\(509\) | −23.7521 | + | 32.6920i | −1.05280 | + | 1.44905i | −0.166435 | + | 0.986053i | \(0.553225\pi\) |
−0.886361 | + | 0.462996i | \(0.846775\pi\) | |||||||
\(510\) | 4.01250 | + | 3.66525i | 0.177676 | + | 0.162300i | ||||
\(511\) | 4.94502 | − | 15.2192i | 0.218755 | − | 0.673258i | ||||
\(512\) | 7.83891 | − | 24.1257i | 0.346434 | − | 1.06622i | ||||
\(513\) | −17.3397 | − | 6.04891i | −0.765566 | − | 0.267066i | ||||
\(514\) | −5.83657 | + | 8.03335i | −0.257440 | + | 0.354336i | ||||
\(515\) | −31.1751 | + | 10.1294i | −1.37374 | + | 0.446355i | ||||
\(516\) | −1.03388 | − | 5.04133i | −0.0455141 | − | 0.221932i | ||||
\(517\) | −13.3034 | + | 0.585139i | −0.585081 | + | 0.0257344i | ||||
\(518\) | − | 7.67647i | − | 0.337285i | ||||||
\(519\) | −12.0124 | − | 21.1545i | −0.527284 | − | 0.928580i | ||||
\(520\) | 7.72375 | + | 5.61164i | 0.338709 | + | 0.246087i | ||||
\(521\) | 12.2165 | + | 16.8145i | 0.535214 | + | 0.736658i | 0.987914 | − | 0.155004i | \(-0.0495392\pi\) |
−0.452700 | + | 0.891663i | \(0.649539\pi\) | |||||||
\(522\) | 2.36729 | + | 26.1173i | 0.103614 | + | 1.14312i | ||||
\(523\) | 23.5301 | + | 7.64540i | 1.02890 | + | 0.334310i | 0.774356 | − | 0.632751i | \(-0.218074\pi\) |
0.254545 | + | 0.967061i | \(0.418074\pi\) | |||||||
\(524\) | 1.92642 | − | 1.39962i | 0.0841558 | − | 0.0611428i | ||||
\(525\) | −5.47736 | + | 12.0689i | −0.239052 | + | 0.526732i | ||||
\(526\) | 0.958401 | + | 2.94966i | 0.0417883 | + | 0.128611i | ||||
\(527\) | 5.72399 | 0.249341 | ||||||||
\(528\) | 18.0083 | + | 1.22513i | 0.783712 | + | 0.0533170i | ||||
\(529\) | 22.4422 | 0.975748 | ||||||||
\(530\) | 10.4057 | + | 32.0256i | 0.451997 | + | 1.39110i | ||||
\(531\) | −2.55234 | + | 11.2153i | −0.110762 | + | 0.486703i | ||||
\(532\) | −1.59776 | + | 1.16084i | −0.0692716 | + | 0.0503287i | ||||
\(533\) | −0.116331 | − | 0.0377981i | −0.00503884 | − | 0.00163722i | ||||
\(534\) | −19.6014 | − | 2.20225i | −0.848234 | − | 0.0953007i | ||||
\(535\) | 31.8265 | + | 43.8055i | 1.37598 | + | 1.89388i | ||||
\(536\) | 32.6790 | + | 23.7427i | 1.41152 | + | 1.02553i | ||||
\(537\) | 9.02435 | − | 5.12438i | 0.389430 | − | 0.221133i | ||||
\(538\) | − | 34.8433i | − | 1.50220i | ||||||
\(539\) | −14.3846 | + | 5.38349i | −0.619590 | + | 0.231883i | ||||
\(540\) | 3.39708 | + | 4.89345i | 0.146187 | + | 0.210581i | ||||
\(541\) | 0.371374 | − | 0.120667i | 0.0159666 | − | 0.00518787i | −0.301023 | − | 0.953617i | \(-0.597328\pi\) |
0.316989 | + | 0.948429i | \(0.397328\pi\) | |||||||
\(542\) | −4.20870 | + | 5.79278i | −0.180779 | + | 0.248821i | ||||
\(543\) | −1.01619 | + | 1.11246i | −0.0436089 | + | 0.0477404i | ||||
\(544\) | 0.486363 | − | 1.49687i | 0.0208527 | − | 0.0641779i | ||||
\(545\) | 5.74256 | − | 17.6738i | 0.245984 | − | 0.757062i | ||||
\(546\) | −2.30043 | + | 2.51837i | −0.0984493 | + | 0.107776i | ||||
\(547\) | −5.37793 | + | 7.40209i | −0.229944 | + | 0.316490i | −0.908361 | − | 0.418186i | \(-0.862666\pi\) |
0.678418 | + | 0.734676i | \(0.262666\pi\) | |||||||
\(548\) | −0.912030 | + | 0.296337i | −0.0389600 | + | 0.0126589i | ||||
\(549\) | 14.4357 | + | 33.7147i | 0.616099 | + | 1.43891i | ||||
\(550\) | −19.7577 | + | 7.39437i | −0.842471 | + | 0.315297i | ||||
\(551\) | − | 24.1470i | − | 1.02870i | ||||||
\(552\) | −3.40093 | + | 1.93118i | −0.144753 | + | 0.0821964i | ||||
\(553\) | 10.9240 | + | 7.93678i | 0.464538 | + | 0.337506i | ||||
\(554\) | 20.1114 | + | 27.6809i | 0.854450 | + | 1.17605i | ||||
\(555\) | 21.1871 | + | 2.38041i | 0.899342 | + | 0.101043i | ||||
\(556\) | −4.27937 | − | 1.39045i | −0.181486 | − | 0.0589683i | ||||
\(557\) | −20.4382 | + | 14.8492i | −0.865993 | + | 0.629181i | −0.929509 | − | 0.368800i | \(-0.879769\pi\) |
0.0635156 | + | 0.997981i | \(0.479769\pi\) | |||||||
\(558\) | −27.5847 | − | 6.27764i | −1.16776 | − | 0.265754i | ||||
\(559\) | 2.52898 | + | 7.78341i | 0.106965 | + | 0.329203i | ||||
\(560\) | −15.2718 | −0.645350 | ||||||||
\(561\) | 4.45101 | + | 0.302808i | 0.187922 | + | 0.0127846i | ||||
\(562\) | 3.22176 | 0.135902 | ||||||||
\(563\) | −7.52813 | − | 23.1692i | −0.317273 | − | 0.976466i | −0.974809 | − | 0.223042i | \(-0.928401\pi\) |
0.657536 | − | 0.753423i | \(-0.271599\pi\) | |||||||
\(564\) | 1.04339 | − | 2.29903i | 0.0439346 | − | 0.0968065i | ||||
\(565\) | −43.4147 | + | 31.5427i | −1.82647 | + | 1.32701i | ||||
\(566\) | −14.9686 | − | 4.86360i | −0.629178 | − | 0.204432i | ||||
\(567\) | −12.1902 | + | 6.57979i | −0.511942 | + | 0.276325i | ||||
\(568\) | 7.08295 | + | 9.74884i | 0.297194 | + | 0.409052i | ||||
\(569\) | 9.21245 | + | 6.69324i | 0.386206 | + | 0.280595i | 0.763899 | − | 0.645336i | \(-0.223283\pi\) |
−0.377693 | + | 0.925931i | \(0.623283\pi\) | |||||||
\(570\) | 12.2121 | + | 21.5064i | 0.511511 | + | 0.900803i | ||||
\(571\) | − | 26.4571i | − | 1.10720i | −0.832784 | − | 0.553598i | \(-0.813255\pi\) | ||
0.832784 | − | 0.553598i | \(-0.186745\pi\) | |||||||
\(572\) | 1.20294 | − | 0.0529104i | 0.0502974 | − | 0.00221229i | ||||
\(573\) | −1.11674 | − | 5.44536i | −0.0466526 | − | 0.227483i | ||||
\(574\) | 0.229088 | − | 0.0744351i | 0.00956194 | − | 0.00310686i | ||||
\(575\) | 2.18243 | − | 3.00386i | 0.0910136 | − | 0.125269i | ||||
\(576\) | −13.6447 | + | 22.8703i | −0.568530 | + | 0.952931i | ||||
\(577\) | −6.71418 | + | 20.6641i | −0.279515 | + | 0.860259i | 0.708474 | + | 0.705737i | \(0.249384\pi\) |
−0.987989 | + | 0.154522i | \(0.950616\pi\) | |||||||
\(578\) | 6.48278 | − | 19.9519i | 0.269648 | − | 0.829891i | ||||
\(579\) | 2.08141 | + | 1.90128i | 0.0865005 | + | 0.0790146i | ||||
\(580\) | −4.60396 | + | 6.33681i | −0.191169 | + | 0.263122i | ||||
\(581\) | 7.22546 | − | 2.34769i | 0.299762 | − | 0.0973987i | ||||
\(582\) | 42.0112 | − | 8.61570i | 1.74142 | − | 0.357132i | ||||
\(583\) | 23.0563 | + | 15.2499i | 0.954892 | + | 0.631586i | ||||
\(584\) | 31.4330i | 1.30071i | ||||||||
\(585\) | −6.23738 | − | 7.13012i | −0.257884 | − | 0.294794i | ||||
\(586\) | 22.0532 | + | 16.0226i | 0.911011 | + | 0.661888i | ||||
\(587\) | 6.66575 | + | 9.17461i | 0.275125 | + | 0.378677i | 0.924111 | − | 0.382123i | \(-0.124807\pi\) |
−0.648987 | + | 0.760800i | \(0.724807\pi\) | |||||||
\(588\) | 0.325126 | − | 2.89382i | 0.0134080 | − | 0.119339i | ||||
\(589\) | 24.7741 | + | 8.04959i | 1.02080 | + | 0.331678i | ||||
\(590\) | 12.5317 | − | 9.10483i | 0.515923 | − | 0.374840i | ||||
\(591\) | 32.5746 | + | 14.7836i | 1.33994 | + | 0.608117i | ||||
\(592\) | 3.78491 | + | 11.6488i | 0.155559 | + | 0.478761i | ||||
\(593\) | −7.27261 | −0.298650 | −0.149325 | − | 0.988788i | \(-0.547710\pi\) | ||||
−0.149325 | + | 0.988788i | \(0.547710\pi\) | |||||||
\(594\) | −21.1180 | − | 6.34081i | −0.866480 | − | 0.260166i | ||||
\(595\) | −3.77462 | −0.154745 | ||||||||
\(596\) | 0.648897 | + | 1.99710i | 0.0265799 | + | 0.0818044i | ||||
\(597\) | −4.20659 | − | 1.90911i | −0.172164 | − | 0.0781348i | ||||
\(598\) | 0.773054 | − | 0.561656i | 0.0316125 | − | 0.0229678i | ||||
\(599\) | −7.25488 | − | 2.35725i | −0.296426 | − | 0.0963147i | 0.157028 | − | 0.987594i | \(-0.449809\pi\) |
−0.453455 | + | 0.891279i | \(0.649809\pi\) | |||||||
\(600\) | 2.90667 | − | 25.8711i | 0.118664 | − | 1.05618i | ||||
\(601\) | −1.71416 | − | 2.35934i | −0.0699220 | − | 0.0962394i | 0.772624 | − | 0.634864i | \(-0.218944\pi\) |
−0.842546 | + | 0.538625i | \(0.818944\pi\) | |||||||
\(602\) | −13.0385 | − | 9.47305i | −0.531411 | − | 0.386093i | ||||
\(603\) | −26.3902 | − | 30.1673i | −1.07469 | − | 1.22851i | ||||
\(604\) | − | 4.12707i | − | 0.167928i | ||||||
\(605\) | −17.8709 | + | 29.7856i | −0.726554 | + | 1.21096i | ||||
\(606\) | 41.8617 | − | 8.58505i | 1.70052 | − | 0.348744i | ||||
\(607\) | −9.32166 | + | 3.02879i | −0.378354 | + | 0.122935i | −0.492019 | − | 0.870584i | \(-0.663741\pi\) |
0.113665 | + | 0.993519i | \(0.463741\pi\) | |||||||
\(608\) | 4.21008 | − | 5.79467i | 0.170741 | − | 0.235005i | ||||
\(609\) | −13.4483 | − | 12.2845i | −0.544954 | − | 0.497793i | ||||
\(610\) | 15.2627 | − | 46.9738i | 0.617969 | − | 1.90191i | ||||
\(611\) | −1.24070 | + | 3.81849i | −0.0501934 | + | 0.154479i | ||||
\(612\) | −0.433374 | + | 0.726391i | −0.0175181 | + | 0.0293626i | ||||
\(613\) | 5.02012 | − | 6.90960i | 0.202761 | − | 0.279076i | −0.695512 | − | 0.718514i | \(-0.744822\pi\) |
0.898273 | + | 0.439438i | \(0.144822\pi\) | |||||||
\(614\) | 11.5541 | − | 3.75417i | 0.466287 | − | 0.151506i | ||||
\(615\) | 0.134403 | + | 0.655364i | 0.00541965 | + | 0.0264268i | ||||
\(616\) | −12.0756 | + | 9.61175i | −0.486541 | + | 0.387268i | ||||
\(617\) | − | 39.9838i | − | 1.60969i | −0.593487 | − | 0.804844i | \(-0.702249\pi\) | ||
0.593487 | − | 0.804844i | \(-0.297751\pi\) | |||||||
\(618\) | 11.3589 | + | 20.0037i | 0.456922 | + | 0.804669i | ||||
\(619\) | 16.0762 | + | 11.6800i | 0.646157 | + | 0.469460i | 0.861960 | − | 0.506977i | \(-0.169237\pi\) |
−0.215803 | + | 0.976437i | \(0.569237\pi\) | |||||||
\(620\) | −4.96661 | − | 6.83596i | −0.199464 | − | 0.274539i | ||||
\(621\) | 3.71573 | − | 1.11964i | 0.149107 | − | 0.0449295i | ||||
\(622\) | −40.8637 | − | 13.2774i | −1.63848 | − | 0.532376i | ||||
\(623\) | 11.0836 | − | 8.05267i | 0.444053 | − | 0.322624i | ||||
\(624\) | 2.24912 | − | 4.95577i | 0.0900370 | − | 0.198390i | ||||
\(625\) | −7.76921 | − | 23.9112i | −0.310769 | − | 0.956447i | ||||
\(626\) | 8.62421 | 0.344693 | ||||||||
\(627\) | 18.8386 | + | 7.57000i | 0.752343 | + | 0.302317i | ||||
\(628\) | 0.683169 | 0.0272614 | ||||||||
\(629\) | 0.935493 | + | 2.87915i | 0.0373005 | + | 0.114799i | ||||
\(630\) | 18.1905 | + | 4.13973i | 0.724726 | + | 0.164931i | ||||
\(631\) | 2.69436 | − | 1.95756i | 0.107261 | − | 0.0779294i | −0.532862 | − | 0.846202i | \(-0.678884\pi\) |
0.640123 | + | 0.768273i | \(0.278884\pi\) | |||||||
\(632\) | −25.2251 | − | 8.19614i | −1.00340 | − | 0.326025i | ||||
\(633\) | −22.9904 | − | 2.58302i | −0.913788 | − | 0.102666i | ||||
\(634\) | −24.4514 | − | 33.6545i | −0.971091 | − | 1.33659i | ||||
\(635\) | 18.7155 | + | 13.5976i | 0.742703 | + | 0.539605i | ||||
\(636\) | −4.55756 | + | 2.58796i | −0.180719 | + | 0.102619i | ||||
\(637\) | 4.63092i | 0.183484i | ||||||||
\(638\) | −1.27397 | − | 28.9641i | −0.0504368 | − | 1.14670i | ||||
\(639\) | −4.70641 | − | 10.9919i | −0.186183 | − | 0.434833i | ||||
\(640\) | 21.9368 | − | 7.12769i | 0.867128 | − | 0.281747i | ||||
\(641\) | 23.7683 | − | 32.7143i | 0.938793 | − | 1.29214i | −0.0175364 | − | 0.999846i | \(-0.505582\pi\) |
0.956329 | − | 0.292291i | \(-0.0944177\pi\) | |||||||
\(642\) | 25.6277 | − | 28.0557i | 1.01145 | − | 1.10727i | ||||
\(643\) | −3.73940 | + | 11.5087i | −0.147468 | + | 0.453859i | −0.997320 | − | 0.0731619i | \(-0.976691\pi\) |
0.849852 | + | 0.527021i | \(0.176691\pi\) | |||||||
\(644\) | 0.128965 | − | 0.396915i | 0.00508195 | − | 0.0156406i | ||||
\(645\) | 30.1888 | − | 33.0489i | 1.18868 | − | 1.30130i | ||||
\(646\) | −2.06413 | + | 2.84103i | −0.0812121 | + | 0.111779i | ||||
\(647\) | −6.31833 | + | 2.05295i | −0.248399 | + | 0.0807098i | −0.430570 | − | 0.902557i | \(-0.641688\pi\) |
0.182171 | + | 0.983267i | \(0.441688\pi\) | |||||||
\(648\) | 18.7791 | − | 19.6913i | 0.737711 | − | 0.773547i | ||||
\(649\) | 3.39426 | − | 12.2546i | 0.133236 | − | 0.481037i | ||||
\(650\) | 6.36070i | 0.249487i | ||||||||
\(651\) | 17.0867 | − | 9.70247i | 0.669679 | − | 0.380270i | ||||
\(652\) | 6.01930 | + | 4.37327i | 0.235734 | + | 0.171271i | ||||
\(653\) | −20.3314 | − | 27.9837i | −0.795628 | − | 1.09509i | −0.993384 | − | 0.114837i | \(-0.963365\pi\) |
0.197756 | − | 0.980251i | \(-0.436635\pi\) | |||||||
\(654\) | −12.9598 | − | 1.45606i | −0.506767 | − | 0.0569363i | ||||
\(655\) | 19.6975 | + | 6.40012i | 0.769647 | + | 0.250073i | ||||
\(656\) | −0.310932 | + | 0.225905i | −0.0121398 | + | 0.00882011i | ||||
\(657\) | 6.92117 | − | 30.4125i | 0.270021 | − | 1.18651i | ||||
\(658\) | −2.44329 | − | 7.51967i | −0.0952493 | − | 0.293147i | ||||
\(659\) | 38.0227 | 1.48115 | 0.740576 | − | 0.671972i | \(-0.234553\pi\) | ||||
0.740576 | + | 0.671972i | \(0.234553\pi\) | |||||||
\(660\) | −3.50043 | − | 5.57842i | −0.136254 | − | 0.217140i | ||||
\(661\) | 36.6450 | 1.42533 | 0.712663 | − | 0.701507i | \(-0.247489\pi\) | ||||
0.712663 | + | 0.701507i | \(0.247489\pi\) | |||||||
\(662\) | 1.77172 | + | 5.45279i | 0.0688599 | + | 0.211929i | ||||
\(663\) | 0.555902 | − | 1.22489i | 0.0215894 | − | 0.0475707i | ||||
\(664\) | −12.0731 | + | 8.77159i | −0.468526 | + | 0.340404i | ||||
\(665\) | −16.3370 | − | 5.30822i | −0.633523 | − | 0.205844i | ||||
\(666\) | −1.35064 | − | 14.9010i | −0.0523363 | − | 0.577403i | ||||
\(667\) | 2.99929 | + | 4.12817i | 0.116133 | + | 0.159844i | ||||
\(668\) | −3.14156 | − | 2.28248i | −0.121551 | − | 0.0883116i | ||||
\(669\) | −3.98417 | − | 7.01638i | −0.154037 | − | 0.271269i | ||||
\(670\) | 53.9782i | 2.08536i | ||||||||
\(671\) | −14.2118 | − | 37.9737i | −0.548639 | − | 1.46596i | ||||
\(672\) | −1.08544 | − | 5.29272i | −0.0418717 | − | 0.204171i | ||||
\(673\) | −9.67734 | + | 3.14436i | −0.373034 | + | 0.121206i | −0.489533 | − | 0.871985i | \(-0.662833\pi\) |
0.116499 | + | 0.993191i | \(0.462833\pi\) | |||||||
\(674\) | 6.82635 | − | 9.39566i | 0.262941 | − | 0.361907i | ||||
\(675\) | −8.50879 | + | 24.3911i | −0.327504 | + | 0.938815i | ||||
\(676\) | 0.112189 | − | 0.345281i | 0.00431495 | − | 0.0132800i | ||||
\(677\) | −2.94094 | + | 9.05127i | −0.113029 | + | 0.347869i | −0.991531 | − | 0.129871i | \(-0.958544\pi\) |
0.878502 | + | 0.477739i | \(0.158544\pi\) | |||||||
\(678\) | 27.8055 | + | 25.3991i | 1.06786 | + | 0.975448i | ||||
\(679\) | −17.5082 | + | 24.0979i | −0.671902 | + | 0.924794i | ||||
\(680\) | 7.05149 | − | 2.29117i | 0.270412 | − | 0.0878623i | ||||
\(681\) | 1.89283 | − | 0.388184i | 0.0725333 | − | 0.0148752i | ||||
\(682\) | 30.1410 | + | 8.34837i | 1.15416 | + | 0.319676i | ||||
\(683\) | 43.3976i | 1.66056i | 0.557345 | + | 0.830281i | \(0.311820\pi\) | ||||
−0.557345 | + | 0.830281i | \(0.688180\pi\) | |||||||
\(684\) | −2.89721 | + | 2.53446i | −0.110778 | + | 0.0969074i | ||||
\(685\) | −6.74798 | − | 4.90270i | −0.257827 | − | 0.187322i | ||||
\(686\) | −13.4630 | − | 18.5302i | −0.514018 | − | 0.707485i | ||||
\(687\) | 2.05379 | − | 18.2800i | 0.0783569 | − | 0.697424i | ||||
\(688\) | 24.4562 | + | 7.94631i | 0.932384 | + | 0.302950i | ||||
\(689\) | 6.74296 | − | 4.89905i | 0.256886 | − | 0.186639i | ||||
\(690\) | −4.75910 | − | 2.15986i | −0.181176 | − | 0.0822246i | ||||
\(691\) | −6.60040 | − | 20.3140i | −0.251091 | − | 0.772779i | −0.994575 | − | 0.104025i | \(-0.966828\pi\) |
0.743483 | − | 0.668754i | \(-0.233172\pi\) | |||||||
\(692\) | −5.09914 | −0.193840 | ||||||||
\(693\) | 13.8000 | − | 6.64078i | 0.524217 | − | 0.252262i | ||||
\(694\) | 2.45696 | 0.0932649 | ||||||||
\(695\) | −12.0940 | − | 37.2215i | −0.458751 | − | 1.41189i | ||||
\(696\) | 32.5798 | + | 14.7860i | 1.23494 | + | 0.560462i | ||||
\(697\) | −0.0768510 | + | 0.0558355i | −0.00291094 | + | 0.00211492i | ||||
\(698\) | −21.5442 | − | 7.00013i | −0.815460 | − | 0.264959i | ||||
\(699\) | 1.54390 | − | 13.7417i | 0.0583958 | − | 0.519758i | ||||
\(700\) | 1.63291 | + | 2.24751i | 0.0617182 | + | 0.0849478i | ||||
\(701\) | −13.7662 | − | 10.0018i | −0.519944 | − | 0.377761i | 0.296639 | − | 0.954990i | \(-0.404134\pi\) |
−0.816583 | + | 0.577228i | \(0.804134\pi\) | |||||||
\(702\) | −4.02234 | + | 5.29324i | −0.151813 | + | 0.199781i | ||||
\(703\) | 13.7769i | 0.519605i | ||||||||
\(704\) | 16.2423 | − | 24.5566i | 0.612153 | − | 0.925511i | ||||
\(705\) | 21.5120 | − | 4.41170i | 0.810187 | − | 0.166154i | ||||
\(706\) | 25.3540 | − | 8.23800i | 0.954209 | − | 0.310041i | ||||
\(707\) | −17.4459 | + | 24.0122i | −0.656120 | + | 0.903072i | ||||
\(708\) | 1.78006 | + | 1.62601i | 0.0668987 | + | 0.0611092i | ||||
\(709\) | −10.6832 | + | 32.8796i | −0.401217 | + | 1.23482i | 0.522795 | + | 0.852458i | \(0.324889\pi\) |
−0.924013 | + | 0.382362i | \(0.875111\pi\) | |||||||
\(710\) | −4.97605 | + | 15.3147i | −0.186748 | + | 0.574751i | ||||
\(711\) | 22.6014 | + | 13.4843i | 0.847620 | + | 0.505701i | ||||
\(712\) | −15.8176 | + | 21.7711i | −0.592790 | + | 0.815906i | ||||
\(713\) | −5.23523 | + | 1.70103i | −0.196061 | + | 0.0637040i | ||||
\(714\) | 0.532172 | + | 2.59493i | 0.0199160 | + | 0.0971129i | ||||
\(715\) | 6.52232 | + | 8.19425i | 0.243921 | + | 0.306448i | ||||
\(716\) | − | 2.17526i | − | 0.0812931i | ||||||
\(717\) | 15.4120 | + | 27.1414i | 0.575570 | + | 1.01362i | ||||
\(718\) | 20.3070 | + | 14.7539i | 0.757850 | + | 0.550610i | ||||
\(719\) | −14.0270 | − | 19.3065i | −0.523118 | − | 0.720010i | 0.462944 | − | 0.886387i | \(-0.346793\pi\) |
−0.986062 | + | 0.166377i | \(0.946793\pi\) | |||||||
\(720\) | −29.6445 | + | 2.68700i | −1.10478 | + | 0.100139i | ||||
\(721\) | −15.1956 | − | 4.93734i | −0.565913 | − | 0.183876i | ||||
\(722\) | 6.73747 | − | 4.89506i | 0.250743 | − | 0.182175i | ||||
\(723\) | 3.54136 | − | 7.80311i | 0.131704 | − | 0.290201i | ||||
\(724\) | 0.0975937 | + | 0.300363i | 0.00362704 | + | 0.0111629i | ||||
\(725\) | −33.9667 | −1.26149 | ||||||||
\(726\) | 22.9962 | + | 8.08625i | 0.853469 | + | 0.300109i | ||||
\(727\) | −47.1162 | −1.74744 | −0.873721 | − | 0.486428i | \(-0.838300\pi\) | ||||
−0.873721 | + | 0.486428i | \(0.838300\pi\) | |||||||
\(728\) | 1.43801 | + | 4.42575i | 0.0532963 | + | 0.164029i | ||||
\(729\) | −22.5051 | + | 14.9171i | −0.833524 | + | 0.552483i | ||||
\(730\) | −33.9822 | + | 24.6895i | −1.25774 | + | 0.913799i | ||||
\(731\) | 6.04469 | + | 1.96404i | 0.223571 | + | 0.0726426i | ||||
\(732\) | 7.63932 | + | 0.858292i | 0.282357 | + | 0.0317234i | ||||
\(733\) | −17.9137 | − | 24.6560i | −0.661656 | − | 0.910692i | 0.337879 | − | 0.941190i | \(-0.390291\pi\) |
−0.999535 | + | 0.0304981i | \(0.990291\pi\) | |||||||
\(734\) | 1.74743 | + | 1.26958i | 0.0644988 | + | 0.0468611i | ||||
\(735\) | 22.0252 | − | 12.5068i | 0.812412 | − | 0.461319i | ||||
\(736\) | 1.51359i | 0.0557917i | ||||||||
\(737\) | 27.5958 | + | 34.6697i | 1.01650 | + | 1.27707i | ||||
\(738\) | 0.431593 | − | 0.184795i | 0.0158871 | − | 0.00680241i | ||||
\(739\) | −14.1763 | + | 4.60615i | −0.521482 | + | 0.169440i | −0.557918 | − | 0.829896i | \(-0.688400\pi\) |
0.0364356 | + | 0.999336i | \(0.488400\pi\) | |||||||
\(740\) | 2.62676 | − | 3.61542i | 0.0965615 | − | 0.132905i | ||||
\(741\) | 4.12856 | − | 4.51970i | 0.151666 | − | 0.166035i | ||||
\(742\) | −5.07204 | + | 15.6101i | −0.186201 | + | 0.573066i | ||||
\(743\) | −9.18773 | + | 28.2769i | −0.337065 | + | 1.03738i | 0.628631 | + | 0.777704i | \(0.283616\pi\) |
−0.965696 | + | 0.259676i | \(0.916384\pi\) | |||||||
\(744\) | −26.0308 | + | 28.4969i | −0.954335 | + | 1.04475i | ||||
\(745\) | −10.7356 | + | 14.7763i | −0.393321 | + | 0.541360i | ||||
\(746\) | 38.4500 | − | 12.4932i | 1.40776 | − | 0.457408i | ||||
\(747\) | 13.6125 | − | 5.82847i | 0.498055 | − | 0.213252i | ||||
\(748\) | 0.515875 | − | 0.779949i | 0.0188623 | − | 0.0285178i | ||||
\(749\) | 26.3925i | 0.964360i | ||||||||
\(750\) | −0.173441 | + | 0.0984867i | −0.00633318 | + | 0.00359623i | ||||
\(751\) | −13.8157 | − | 10.0377i | −0.504143 | − | 0.366281i | 0.306454 | − | 0.951885i | \(-0.400857\pi\) |
−0.810597 | + | 0.585604i | \(0.800857\pi\) | |||||||
\(752\) | 7.41520 | + | 10.2061i | 0.270405 | + | 0.372180i | ||||
\(753\) | 1.38826 | + | 0.155974i | 0.0505912 | + | 0.00568401i | ||||
\(754\) | −8.31362 | − | 2.70126i | −0.302764 | − | 0.0983740i | ||||
\(755\) | 29.0411 | − | 21.0996i | 1.05691 | − | 0.767893i | ||||
\(756\) | −0.0623905 | + | 2.90294i | −0.00226912 | + | 0.105579i | ||||
\(757\) | −9.19193 | − | 28.2898i | −0.334086 | − | 1.02821i | −0.967170 | − | 0.254129i | \(-0.918211\pi\) |
0.633084 | − | 0.774083i | \(-0.281789\pi\) | |||||||
\(758\) | −8.25248 | −0.299744 | ||||||||
\(759\) | −4.16093 | + | 1.04578i | −0.151032 | + | 0.0379593i | ||||
\(760\) | 33.7417 | 1.22394 | ||||||||
\(761\) | 8.82435 | + | 27.1586i | 0.319883 | + | 0.984497i | 0.973698 | + | 0.227843i | \(0.0731673\pi\) |
−0.653815 | + | 0.756654i | \(0.726833\pi\) | |||||||
\(762\) | 6.70928 | − | 14.7834i | 0.243052 | − | 0.535546i | ||||
\(763\) | 7.32808 | − | 5.32416i | 0.265294 | − | 0.192748i | ||||
\(764\) | −1.10812 | − | 0.360049i | −0.0400902 | − | 0.0130261i | ||||
\(765\) | −7.32704 | + | 0.664129i | −0.264910 | + | 0.0240116i | ||||
\(766\) | 25.1659 | + | 34.6380i | 0.909283 | + | 1.25152i | ||||
\(767\) | −3.10179 | − | 2.25358i | −0.111999 | − | 0.0813722i | ||||
\(768\) | 7.19163 | + | 12.6649i | 0.259506 | + | 0.457006i | ||||
\(769\) | 9.81396i | 0.353901i | 0.984220 | + | 0.176950i | \(0.0566232\pi\) | ||||
−0.984220 | + | 0.176950i | \(0.943377\pi\) | |||||||
\(770\) | −19.8762 | − | 5.50525i | −0.716288 | − | 0.198395i | ||||
\(771\) | −2.70061 | − | 13.1685i | −0.0972601 | − | 0.474252i | ||||
\(772\) | 0.561976 | − | 0.182597i | 0.0202260 | − | 0.00657182i | ||||
\(773\) | −9.01910 | + | 12.4137i | −0.324395 | + | 0.446491i | −0.939803 | − | 0.341718i | \(-0.888991\pi\) |
0.615408 | + | 0.788209i | \(0.288991\pi\) | |||||||
\(774\) | −26.9762 | − | 16.0944i | −0.969641 | − | 0.578500i | ||||
\(775\) | 11.3231 | − | 34.8488i | 0.406737 | − | 1.25181i | ||||
\(776\) | 18.0803 | − | 55.6454i | 0.649044 | − | 1.99755i | ||||
\(777\) | 7.67285 | + | 7.00883i | 0.275262 | + | 0.251440i | ||||
\(778\) | −4.87397 | + | 6.70845i | −0.174740 | + | 0.240509i | ||||
\(779\) | −0.411141 | + | 0.133588i | −0.0147307 | + | 0.00478628i | ||||
\(780\) | −1.94519 | + | 0.398921i | −0.0696489 | + | 0.0142837i | ||||
\(781\) | 4.63341 | + | 12.3804i | 0.165797 | + | 0.443007i | ||||
\(782\) | − | 0.742089i | − | 0.0265370i | ||||||
\(783\) | −28.2664 | − | 21.4796i | −1.01016 | − | 0.767620i | ||||
\(784\) | 11.7718 | + | 8.55274i | 0.420423 | + | 0.305455i | ||||
\(785\) | 3.49270 | + | 4.80728i | 0.124660 | + | 0.171579i | ||||
\(786\) | 1.62278 | − | 14.4438i | 0.0578828 | − | 0.515192i | ||||
\(787\) | −7.75346 | − | 2.51925i | −0.276381 | − | 0.0898016i | 0.167547 | − | 0.985864i | \(-0.446415\pi\) |
−0.443928 | + | 0.896062i | \(0.646415\pi\) | |||||||
\(788\) | 6.06612 | − | 4.40729i | 0.216096 | − | 0.157003i | ||||
\(789\) | −3.82331 | − | 1.73517i | −0.136113 | − | 0.0617736i | ||||
\(790\) | −10.9526 | − | 33.7086i | −0.389675 | − | 1.19930i | ||||
\(791\) | −26.1571 | −0.930039 | ||||||||
\(792\) | −21.7492 | + | 20.7823i | −0.772825 | + | 0.738467i | ||||
\(793\) | −12.2251 | −0.434125 | ||||||||
\(794\) | 10.6990 | + | 32.9281i | 0.379692 | + | 1.16857i | ||||
\(795\) | −41.5112 | − | 18.8394i | −1.47225 | − | 0.668165i | ||||
\(796\) | −0.783361 | + | 0.569145i | −0.0277655 | + | 0.0201728i | ||||
\(797\) | 13.3596 | + | 4.34078i | 0.473220 | + | 0.153758i | 0.535911 | − | 0.844275i | \(-0.319968\pi\) |
−0.0626911 | + | 0.998033i | \(0.519968\pi\) | |||||||
\(798\) | −1.34593 | + | 11.9796i | −0.0476453 | + | 0.424072i | ||||
\(799\) | 1.83277 | + | 2.52259i | 0.0648387 | + | 0.0892428i | ||||
\(800\) | −8.15116 | − | 5.92216i | −0.288187 | − | 0.209380i | ||||
\(801\) | 20.0978 | − | 17.5814i | 0.710121 | − | 0.621208i | ||||
\(802\) | − | 18.4391i | − | 0.651108i | ||||||
\(803\) | −9.20418 | + | 33.2308i | −0.324809 | + | 1.17269i | ||||
\(804\) | −8.23003 | + | 1.68783i | −0.290251 | + | 0.0595250i | ||||
\(805\) | 3.45232 | − | 1.12173i | 0.121678 | − | 0.0395356i | ||||
\(806\) | 5.54283 | − | 7.62904i | 0.195238 | − | 0.268722i | ||||
\(807\) | 34.8269 | + | 31.8129i | 1.22597 | + | 1.11987i | ||||
\(808\) | 18.0160 | − | 55.4474i | 0.633800 | − | 1.95063i | ||||
\(809\) | −4.65773 | + | 14.3350i | −0.163757 | + | 0.503992i | −0.998943 | − | 0.0459761i | \(-0.985360\pi\) |
0.835186 | + | 0.549968i | \(0.185360\pi\) | |||||||
\(810\) | 36.0385 | + | 4.83521i | 1.26626 | + | 0.169892i | ||||
\(811\) | −23.4259 | + | 32.2430i | −0.822596 | + | 1.13221i | 0.166661 | + | 0.986014i | \(0.446702\pi\) |
−0.989256 | + | 0.146191i | \(0.953298\pi\) | |||||||
\(812\) | −3.63102 | + | 1.17979i | −0.127424 | + | 0.0414025i | ||||
\(813\) | −1.94739 | − | 9.49568i | −0.0682978 | − | 0.333028i | ||||
\(814\) | 0.726852 | + | 16.5253i | 0.0254762 | + | 0.579210i | ||||
\(815\) | 64.7145i | 2.26685i | ||||||||
\(816\) | −2.08699 | − | 3.67532i | −0.0730593 | − | 0.128662i | ||||
\(817\) | 23.4001 | + | 17.0012i | 0.818666 | + | 0.594796i | ||||
\(818\) | −11.8710 | − | 16.3390i | −0.415059 | − | 0.571280i | ||||
\(819\) | −0.416829 | − | 4.59869i | −0.0145652 | − | 0.160691i | ||||
\(820\) | 0.133365 | + | 0.0433328i | 0.00465730 | + | 0.00151325i | ||||
\(821\) | 10.5466 | − | 7.66252i | 0.368077 | − | 0.267424i | −0.388336 | − | 0.921518i | \(-0.626950\pi\) |
0.756413 | + | 0.654094i | \(0.226950\pi\) | |||||||
\(822\) | −2.41907 | + | 5.33023i | −0.0843747 | + | 0.185913i | ||||
\(823\) | −10.3732 | − | 31.9253i | −0.361586 | − | 1.11285i | −0.952092 | − | 0.305813i | \(-0.901072\pi\) |
0.590506 | − | 0.807033i | \(-0.298928\pi\) | |||||||
\(824\) | 31.3842 | 1.09332 | ||||||||
\(825\) | 10.6484 | − | 26.4997i | 0.370731 | − | 0.922599i | ||||
\(826\) | 7.55027 | 0.262708 | ||||||||
\(827\) | −2.92456 | − | 9.00087i | −0.101697 | − | 0.312991i | 0.887244 | − | 0.461300i | \(-0.152617\pi\) |
−0.988941 | + | 0.148309i | \(0.952617\pi\) | |||||||
\(828\) | 0.180503 | − | 0.793154i | 0.00627292 | − | 0.0275640i | ||||
\(829\) | 26.3111 | − | 19.1161i | 0.913822 | − | 0.663930i | −0.0281568 | − | 0.999604i | \(-0.508964\pi\) |
0.941979 | + | 0.335673i | \(0.108964\pi\) | |||||||
\(830\) | −18.9659 | − | 6.16239i | −0.658316 | − | 0.213900i | ||||
\(831\) | −46.0301 | − | 5.17157i | −1.59677 | − | 0.179400i | ||||
\(832\) | −5.21784 | − | 7.18175i | −0.180896 | − | 0.248982i | ||||
\(833\) | 2.90957 | + | 2.11393i | 0.100811 | + | 0.0732432i | ||||
\(834\) | −23.8835 | + | 13.5620i | −0.827017 | + | 0.469612i | ||||
\(835\) | − | 33.7754i | − | 1.16885i | ||||||
\(836\) | 3.32960 | − | 2.65024i | 0.115157 | − | 0.0916605i | ||||
\(837\) | 31.4603 | − | 21.8401i | 1.08743 | − | 0.754904i | ||||
\(838\) | −42.6603 | + | 13.8612i | −1.47367 | + | 0.478826i | ||||
\(839\) | −21.6016 | + | 29.7321i | −0.745772 | + | 1.02647i | 0.252494 | + | 0.967598i | \(0.418749\pi\) |
−0.998266 | + | 0.0588682i | \(0.981251\pi\) | |||||||
\(840\) | 17.1657 | − | 18.7920i | 0.592274 | − | 0.648386i | ||||
\(841\) | 5.46346 | − | 16.8148i | 0.188395 | − | 0.579821i | ||||
\(842\) | −13.3162 | + | 40.9830i | −0.458906 | + | 1.41237i | ||||
\(843\) | −2.94156 | + | 3.22024i | −0.101313 | + | 0.110911i | ||||
\(844\) | −2.85033 | + | 3.92315i | −0.0981126 | + | 0.135040i | ||||
\(845\) | 3.00322 | − | 0.975804i | 0.103314 | − | 0.0335687i | ||||
\(846\) | −6.06580 | − | 14.1668i | −0.208546 | − | 0.487064i | ||||
\(847\) | −15.5808 | + | 6.62552i | −0.535362 | + | 0.227656i | ||||
\(848\) | − | 26.1886i | − | 0.899320i | ||||||
\(849\) | 18.5281 | − | 10.5210i | 0.635882 | − | 0.361078i | ||||
\(850\) | 3.99638 | + | 2.90354i | 0.137075 | + | 0.0995905i | ||||
\(851\) | −1.71123 | − | 2.35530i | −0.0586600 | − | 0.0807386i | ||||
\(852\) | −2.49062 | − | 0.279826i | −0.0853274 | − | 0.00958669i | ||||
\(853\) | −28.5858 | − | 9.28809i | −0.978759 | − | 0.318018i | −0.224413 | − | 0.974494i | \(-0.572046\pi\) |
−0.754347 | + | 0.656476i | \(0.772046\pi\) | |||||||
\(854\) | 19.4767 | − | 14.1507i | 0.666480 | − | 0.484226i | ||||
\(855\) | −32.6463 | − | 7.42952i | −1.11648 | − | 0.254084i | ||||
\(856\) | −16.0200 | − | 49.3046i | −0.547554 | − | 1.68520i | ||||
\(857\) | −49.1890 | −1.68026 | −0.840132 | − | 0.542382i | \(-0.817523\pi\) | ||||
−0.840132 | + | 0.542382i | \(0.817523\pi\) | |||||||
\(858\) | 4.71372 | − | 5.63916i | 0.160924 | − | 0.192518i | ||||
\(859\) | 39.6815 | 1.35391 | 0.676957 | − | 0.736022i | \(-0.263298\pi\) | ||||
0.676957 | + | 0.736022i | \(0.263298\pi\) | |||||||
\(860\) | −2.89930 | − | 8.92312i | −0.0988653 | − | 0.304276i | ||||
\(861\) | −0.134763 | + | 0.296941i | −0.00459273 | + | 0.0101197i | ||||
\(862\) | −19.5633 | + | 14.2136i | −0.666328 | + | 0.484116i | ||||
\(863\) | 27.4941 | + | 8.93339i | 0.935912 | + | 0.304096i | 0.736978 | − | 0.675917i | \(-0.236252\pi\) |
0.198934 | + | 0.980013i | \(0.436252\pi\) | |||||||
\(864\) | −3.03821 | − | 10.0829i | −0.103362 | − | 0.343027i | ||||
\(865\) | −26.0693 | − | 35.8813i | −0.886383 | − | 1.22000i | ||||
\(866\) | −40.7807 | − | 29.6289i | −1.38578 | − | 1.00683i | ||||
\(867\) | 14.0236 | + | 24.6964i | 0.476265 | + | 0.838734i | ||||
\(868\) | − | 4.11862i | − | 0.139795i | ||||||
\(869\) | −24.2679 | − | 16.0513i | −0.823231 | − | 0.544503i | ||||
\(870\) | 9.60516 | + | 46.8359i | 0.325645 | + | 1.58788i | ||||
\(871\) | 12.7065 | − | 4.12860i | 0.430544 | − | 0.139892i | ||||
\(872\) | −10.4581 | + | 14.3943i | −0.354156 | + | 0.487453i | ||||
\(873\) | −29.7457 | + | 49.8577i | −1.00674 | + | 1.68743i | ||||
\(874\) | 1.04359 | − | 3.21185i | 0.0353000 | − | 0.108642i | ||||
\(875\) | 0.0428089 | − | 0.131752i | 0.00144721 | − | 0.00445404i | ||||
\(876\) | −4.82698 | − | 4.40924i | −0.163088 | − | 0.148975i | ||||
\(877\) | 17.3416 | − | 23.8687i | 0.585585 | − | 0.805989i | −0.408709 | − | 0.912665i | \(-0.634021\pi\) |
0.994294 | + | 0.106676i | \(0.0340207\pi\) | |||||||
\(878\) | −29.2727 | + | 9.51129i | −0.987907 | + | 0.320990i | ||||
\(879\) | −36.1503 | + | 7.41374i | −1.21932 | + | 0.250059i | ||||
\(880\) | 32.8758 | − | 1.44602i | 1.10824 | − | 0.0487452i | ||||
\(881\) | 23.6955i | 0.798323i | 0.916881 | + | 0.399162i | \(0.130699\pi\) | ||||
−0.916881 | + | 0.399162i | \(0.869301\pi\) | |||||||
\(882\) | −11.7033 | − | 13.3783i | −0.394069 | − | 0.450472i | ||||
\(883\) | −36.0888 | − | 26.2200i | −1.21448 | − | 0.882374i | −0.218854 | − | 0.975758i | \(-0.570232\pi\) |
−0.995630 | + | 0.0933835i | \(0.970232\pi\) | |||||||
\(884\) | −0.165725 | − | 0.228102i | −0.00557395 | − | 0.00767188i | ||||
\(885\) | −2.34128 | + | 20.8388i | −0.0787011 | + | 0.700487i | ||||
\(886\) | −26.8632 | − | 8.72840i | −0.902488 | − | 0.293236i | ||||
\(887\) | 23.4981 | − | 17.0724i | 0.788989 | − | 0.573234i | −0.118674 | − | 0.992933i | \(-0.537864\pi\) |
0.907663 | + | 0.419699i | \(0.137864\pi\) | |||||||
\(888\) | −18.5882 | − | 8.43605i | −0.623779 | − | 0.283095i | ||||
\(889\) | 3.48447 | + | 10.7241i | 0.116865 | + | 0.359674i | ||||
\(890\) | −35.9608 | −1.20541 | ||||||||
\(891\) | 25.6191 | − | 15.3187i | 0.858272 | − | 0.513195i | ||||
\(892\) | −1.69125 | −0.0566272 | ||||||||
\(893\) | 4.38494 | + | 13.4955i | 0.146737 | + | 0.451609i | ||||
\(894\) | 11.6718 | + | 5.29711i | 0.390363 | + | 0.177162i | ||||
\(895\) | 15.3067 | − | 11.1210i | 0.511646 | − | 0.371733i | ||||
\(896\) | 10.6926 | + | 3.47423i | 0.357214 | + | 0.116066i | ||||
\(897\) | −0.144428 | + | 1.28550i | −0.00482231 | + | 0.0429215i | ||||
\(898\) | −17.2535 | − | 23.7474i | −0.575756 | − | 0.792461i | ||||
\(899\) | 40.7398 | + | 29.5992i | 1.35875 | + | 0.987188i | ||||
\(900\) | 3.56513 | + | 4.07540i | 0.118838 | + | 0.135847i | ||||
\(901\) | − | 6.47287i | − | 0.215643i | ||||||
\(902\) | −0.486113 | + | 0.181929i | −0.0161858 | + | 0.00605757i | ||||
\(903\) | 21.3731 | − | 4.38323i | 0.711253 | − | 0.145865i | ||||
\(904\) | 48.8648 | − | 15.8771i | 1.62522 | − | 0.528066i | ||||
\(905\) | −1.61463 | + | 2.22234i | −0.0536720 | + | 0.0738731i | ||||
\(906\) | −18.5997 | − | 16.9901i | −0.617934 | − | 0.564457i | ||||
\(907\) | −11.7110 | + | 36.0428i | −0.388858 | + | 1.19678i | 0.544785 | + | 0.838576i | \(0.316611\pi\) |
−0.933643 | + | 0.358206i | \(0.883389\pi\) | |||||||
\(908\) | 0.125154 | − | 0.385185i | 0.00415339 | − | 0.0127828i | ||||
\(909\) | −29.6399 | + | 49.6804i | −0.983093 | + | 1.64779i | ||||
\(910\) | −3.65516 | + | 5.03090i | −0.121167 | + | 0.166773i | ||||
\(911\) | −31.5453 | + | 10.2497i | −1.04514 | + | 0.339587i | −0.780760 | − | 0.624831i | \(-0.785168\pi\) |
−0.264381 | + | 0.964418i | \(0.585168\pi\) | |||||||
\(912\) | −3.86417 | − | 18.8422i | −0.127956 | − | 0.623926i | ||||
\(913\) | −15.3321 | + | 5.73807i | −0.507417 | + | 0.189902i | ||||
\(914\) | − | 48.1263i | − | 1.59188i | ||||||
\(915\) | 33.0163 | + | 58.1439i | 1.09149 | + | 1.92218i | ||||
\(916\) | −3.11934 | − | 2.26633i | −0.103066 | − | 0.0748818i | ||||
\(917\) | 5.93382 | + | 8.16720i | 0.195952 | + | 0.269705i | ||||
\(918\) | 1.48958 | + | 4.94347i | 0.0491635 | + | 0.163159i | ||||
\(919\) | −57.1011 | − | 18.5533i | −1.88359 | − | 0.612016i | −0.984813 | − | 0.173616i | \(-0.944455\pi\) |
−0.898780 | − | 0.438401i | \(-0.855545\pi\) | |||||||
\(920\) | −5.76850 | + | 4.19106i | −0.190182 | + | 0.138175i | ||||
\(921\) | −6.79685 | + | 14.9764i | −0.223964 | + | 0.493488i | ||||
\(922\) | −8.31219 | − | 25.5823i | −0.273747 | − | 0.842508i | ||||
\(923\) | 3.98570 | 0.131191 | ||||||||
\(924\) | 0.217881 | − | 3.20266i | 0.00716777 | − | 0.105360i | ||||
\(925\) | 19.3794 | 0.637192 | ||||||||
\(926\) | 14.8258 | + | 45.6293i | 0.487208 | + | 1.49947i | ||||
\(927\) | −30.3653 | − | 6.91043i | −0.997327 | − | 0.226968i | ||||
\(928\) | 11.2021 | − | 8.13878i | 0.367726 | − | 0.267169i | ||||
\(929\) | 10.0056 | + | 3.25101i | 0.328273 | + | 0.106662i | 0.468517 | − | 0.883455i | \(-0.344789\pi\) |
−0.140244 | + | 0.990117i | \(0.544789\pi\) | |||||||
\(930\) | −51.2542 | − | 5.75851i | −1.68069 | − | 0.188829i | ||||
\(931\) | 9.62017 | + | 13.2410i | 0.315288 | + | 0.433957i | ||||
\(932\) | −2.34492 | − | 1.70368i | −0.0768103 | − | 0.0558059i | ||||
\(933\) | 50.5808 | − | 28.7218i | 1.65594 | − | 0.940308i | ||||
\(934\) | − | 31.0650i | − | 1.01648i | ||||||
\(935\) | 8.12570 | − | 0.357403i | 0.265739 | − | 0.0116883i | ||||
\(936\) | 3.57006 | + | 8.33794i | 0.116691 | + | 0.272534i | ||||
\(937\) | 3.52461 | − | 1.14521i | 0.115144 | − | 0.0374125i | −0.250878 | − | 0.968019i | \(-0.580719\pi\) |
0.366022 | + | 0.930606i | \(0.380719\pi\) | |||||||
\(938\) | −15.4649 | + | 21.2856i | −0.504946 | + | 0.694999i | ||||
\(939\) | −7.87414 | + | 8.62014i | −0.256963 | + | 0.281308i | ||||
\(940\) | 1.42238 | − | 4.37762i | 0.0463928 | − | 0.142782i | ||||
\(941\) | −13.0636 | + | 40.2056i | −0.425860 | + | 1.31066i | 0.476308 | + | 0.879279i | \(0.341975\pi\) |
−0.902168 | + | 0.431385i | \(0.858025\pi\) | |||||||
\(942\) | 2.81243 | − | 3.07888i | 0.0916338 | − | 0.100315i | ||||
\(943\) | 0.0536959 | − | 0.0739060i | 0.00174858 | − | 0.00240671i | ||||
\(944\) | −11.4573 | + | 3.72269i | −0.372902 | + | 0.121163i | ||||
\(945\) | −20.7462 | + | 14.4022i | −0.674874 | + | 0.468504i | ||||
\(946\) | 28.9652 | + | 19.1582i | 0.941741 | + | 0.622888i | ||||
\(947\) | − | 12.2069i | − | 0.396672i | −0.980134 | − | 0.198336i | \(-0.936446\pi\) | ||
0.980134 | − | 0.198336i | \(-0.0635538\pi\) | |||||||
\(948\) | 4.79706 | − | 2.72396i | 0.155801 | − | 0.0884700i | ||||
\(949\) | 8.41111 | + | 6.11103i | 0.273036 | + | 0.198372i | ||||
\(950\) | 13.2136 | + | 18.1869i | 0.428705 | + | 0.590062i | ||||
\(951\) | 55.9635 | + | 6.28761i | 1.81474 | + | 0.203890i | ||||
\(952\) | 3.43709 | + | 1.11678i | 0.111397 | + | 0.0361950i | ||||
\(953\) | −5.32992 | + | 3.87241i | −0.172653 | + | 0.125440i | −0.670756 | − | 0.741678i | \(-0.734030\pi\) |
0.498103 | + | 0.867118i | \(0.334030\pi\) | |||||||
\(954\) | −7.09896 | + | 31.1937i | −0.229837 | + | 1.00993i | ||||
\(955\) | −3.13166 | − | 9.63826i | −0.101338 | − | 0.311887i | ||||
\(956\) | 6.54225 | 0.211591 | ||||||||
\(957\) | 30.1136 | + | 25.1717i | 0.973435 | + | 0.813685i | ||||
\(958\) | −16.7390 | −0.540813 | ||||||||
\(959\) | −1.25634 | − | 3.86663i | −0.0405694 | − | 0.124860i | ||||
\(960\) | −20.0654 | + | 44.2125i | −0.647607 | + | 1.42695i | ||||
\(961\) | −18.8693 | + | 13.7093i | −0.608687 | + | 0.442237i | ||||
\(962\) | 4.74327 | + | 1.54118i | 0.152929 | + | 0.0496897i | ||||
\(963\) | 4.64364 | + | 51.2313i | 0.149639 | + | 1.65090i | ||||
\(964\) | −1.05575 | − | 1.45311i | −0.0340034 | − | 0.0468016i | ||||
\(965\) | 4.15799 | + | 3.02095i | 0.133850 | + | 0.0972479i | ||||
\(966\) | −1.25788 | − | 2.21521i | −0.0404716 | − | 0.0712731i | ||||
\(967\) | 46.3936i | 1.49192i | 0.665993 | + | 0.745958i | \(0.268008\pi\) | ||||
−0.665993 | + | 0.745958i | \(0.731992\pi\) | |||||||
\(968\) | 25.0853 | − | 21.8348i | 0.806272 | − | 0.701796i | ||||
\(969\) | −0.955083 | − | 4.65710i | −0.0306817 | − | 0.149607i | ||||
\(970\) | 74.3595 | − | 24.1609i | 2.38754 | − | 0.775759i | ||||
\(971\) | 6.09103 | − | 8.38358i | 0.195470 | − | 0.269042i | −0.700020 | − | 0.714124i | \(-0.746825\pi\) |
0.895490 | + | 0.445082i | \(0.146825\pi\) | |||||||
\(972\) | 0.389652 | + | 5.64596i | 0.0124981 | + | 0.181094i | ||||
\(973\) | 5.89494 | − | 18.1428i | 0.188983 | − | 0.581630i | ||||
\(974\) | −5.55648 | + | 17.1011i | −0.178041 | + | 0.547954i | ||||
\(975\) | −6.35770 | − | 5.80750i | −0.203609 | − | 0.185989i | ||||
\(976\) | −22.5782 | + | 31.0762i | −0.722710 | + | 0.994725i | ||||
\(977\) | −16.0497 | + | 5.21486i | −0.513475 | + | 0.166838i | −0.554282 | − | 0.832329i | \(-0.687007\pi\) |
0.0408072 | + | 0.999167i | \(0.487007\pi\) | |||||||
\(978\) | 44.4891 | − | 9.12388i | 1.42260 | − | 0.291750i | ||||
\(979\) | −23.0973 | + | 18.3846i | −0.738192 | + | 0.587574i | ||||
\(980\) | − | 5.30902i | − | 0.169590i | ||||||
\(981\) | 13.2880 | − | 11.6242i | 0.424253 | − | 0.371133i | ||||
\(982\) | −6.92084 | − | 5.02829i | −0.220853 | − | 0.160459i | ||||
\(983\) | 8.08891 | + | 11.1334i | 0.257996 | + | 0.355101i | 0.918292 | − | 0.395905i | \(-0.129569\pi\) |
−0.660295 | + | 0.751006i | \(0.729569\pi\) | |||||||
\(984\) | 0.0715148 | − | 0.636525i | 0.00227981 | − | 0.0202917i | ||||
\(985\) | 62.0259 | + | 20.1534i | 1.97631 | + | 0.642142i | ||||
\(986\) | −5.49219 | + | 3.99031i | −0.174907 | + | 0.127077i | ||||
\(987\) | 9.74691 | + | 4.42353i | 0.310248 | + | 0.140803i | ||||
\(988\) | −0.396502 | − | 1.22031i | −0.0126144 | − | 0.0388232i | ||||
\(989\) | −6.11221 | −0.194357 | ||||||||
\(990\) | −39.5509 | − | 7.18928i | −1.25701 | − | 0.228490i | ||||
\(991\) | −1.85201 | −0.0588311 | −0.0294155 | − | 0.999567i | \(-0.509365\pi\) | ||||
−0.0294155 | + | 0.999567i | \(0.509365\pi\) | |||||||
\(992\) | 4.61585 | + | 14.2061i | 0.146553 | + | 0.451045i | ||||
\(993\) | −7.06785 | − | 3.20767i | −0.224291 | − | 0.101792i | ||||
\(994\) | −6.34994 | + | 4.61350i | −0.201408 | + | 0.146331i | ||||
\(995\) | −8.00984 | − | 2.60256i | −0.253929 | − | 0.0825066i | ||||
\(996\) | 0.346540 | − | 3.08441i | 0.0109805 | − | 0.0977334i | ||||
\(997\) | 2.00190 | + | 2.75538i | 0.0634008 | + | 0.0872638i | 0.839540 | − | 0.543298i | \(-0.182825\pi\) |
−0.776139 | + | 0.630562i | \(0.782825\pi\) | |||||||
\(998\) | −24.0273 | − | 17.4569i | −0.760571 | − | 0.552587i | ||||
\(999\) | 16.1272 | + | 12.2551i | 0.510241 | + | 0.387733i |
(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 | 429.2.x.a.248.14 | ✓ | 192 | |
3.2 | odd | 2 | inner | 429.2.x.a.248.35 | yes | 192 | |
11.2 | odd | 10 | inner | 429.2.x.a.365.35 | yes | 192 | |
33.2 | even | 10 | inner | 429.2.x.a.365.14 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.x.a.248.14 | ✓ | 192 | 1.1 | even | 1 | trivial | |
429.2.x.a.248.35 | yes | 192 | 3.2 | odd | 2 | inner | |
429.2.x.a.365.14 | yes | 192 | 33.2 | even | 10 | inner | |
429.2.x.a.365.35 | yes | 192 | 11.2 | odd | 10 | inner |