Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(7,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.w (of order \(44\), degree \(20\), 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: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 7.5 | ||
Character | \(\chi\) | \(=\) | 690.7 |
Dual form | 690.2.w.b.493.5 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{19}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.997452 | + | 0.0713392i | −0.705305 | + | 0.0504444i | ||||
\(3\) | −0.212565 | + | 0.977147i | −0.122725 | + | 0.564156i | ||||
\(4\) | 0.989821 | − | 0.142315i | 0.494911 | − | 0.0711574i | ||||
\(5\) | 1.87213 | − | 1.22275i | 0.837244 | − | 0.546830i | ||||
\(6\) | 0.142315 | − | 0.989821i | 0.0580998 | − | 0.404093i | ||||
\(7\) | −0.241465 | + | 0.442209i | −0.0912651 | + | 0.167139i | −0.919324 | − | 0.393502i | \(-0.871264\pi\) |
0.828059 | + | 0.560641i | \(0.189445\pi\) | |||||||
\(8\) | −0.977147 | + | 0.212565i | −0.345474 | + | 0.0751532i | ||||
\(9\) | −0.909632 | − | 0.415415i | −0.303211 | − | 0.138472i | ||||
\(10\) | −1.78013 | + | 1.35319i | −0.562928 | + | 0.427916i | ||||
\(11\) | −2.96829 | + | 2.57204i | −0.894973 | + | 0.775498i | −0.975211 | − | 0.221277i | \(-0.928977\pi\) |
0.0802380 | + | 0.996776i | \(0.474432\pi\) | |||||||
\(12\) | −0.0713392 | + | 0.997452i | −0.0205938 | + | 0.287940i | ||||
\(13\) | 2.26631 | − | 1.23750i | 0.628562 | − | 0.343221i | −0.133189 | − | 0.991091i | \(-0.542522\pi\) |
0.761751 | + | 0.647870i | \(0.224340\pi\) | |||||||
\(14\) | 0.209303 | − | 0.458309i | 0.0559385 | − | 0.122488i | ||||
\(15\) | 0.796854 | + | 2.08926i | 0.205747 | + | 0.539446i | ||||
\(16\) | 0.959493 | − | 0.281733i | 0.239873 | − | 0.0704331i | ||||
\(17\) | 3.95473 | + | 5.28290i | 0.959162 | + | 1.28129i | 0.959623 | + | 0.281290i | \(0.0907624\pi\) |
−0.000460733 | 1.00000i | \(0.500147\pi\) | ||||||||
\(18\) | 0.936950 | + | 0.349464i | 0.220841 | + | 0.0823695i | ||||
\(19\) | 0.338772 | + | 2.35621i | 0.0777197 | + | 0.540552i | 0.991066 | + | 0.133369i | \(0.0425797\pi\) |
−0.913347 | + | 0.407183i | \(0.866511\pi\) | |||||||
\(20\) | 1.67906 | − | 1.47674i | 0.375450 | − | 0.330208i | ||||
\(21\) | −0.380777 | − | 0.329945i | −0.0830923 | − | 0.0719999i | ||||
\(22\) | 2.77724 | − | 2.77724i | 0.592109 | − | 0.592109i | ||||
\(23\) | 4.76706 | + | 0.524497i | 0.994002 | + | 0.109365i | ||||
\(24\) | − | 1.00000i | − | 0.204124i | ||||||
\(25\) | 2.00977 | − | 4.57830i | 0.401954 | − | 0.915660i | ||||
\(26\) | −2.17225 | + | 1.39602i | −0.426014 | + | 0.273783i | ||||
\(27\) | 0.599278 | − | 0.800541i | 0.115331 | − | 0.154064i | ||||
\(28\) | −0.176074 | + | 0.472072i | −0.0332748 | + | 0.0892133i | ||||
\(29\) | −10.1070 | − | 1.45317i | −1.87682 | − | 0.269846i | −0.893141 | − | 0.449776i | \(-0.851504\pi\) |
−0.983679 | + | 0.179930i | \(0.942413\pi\) | |||||||
\(30\) | −0.943870 | − | 2.02709i | −0.172326 | − | 0.370095i | ||||
\(31\) | 8.71381 | + | 5.60002i | 1.56505 | + | 1.00579i | 0.980985 | + | 0.194084i | \(0.0621734\pi\) |
0.584061 | + | 0.811710i | \(0.301463\pi\) | |||||||
\(32\) | −0.936950 | + | 0.349464i | −0.165631 | + | 0.0617771i | ||||
\(33\) | −1.88230 | − | 3.44718i | −0.327667 | − | 0.600077i | ||||
\(34\) | −4.32153 | − | 4.98731i | −0.741136 | − | 0.855316i | ||||
\(35\) | 0.0886568 | + | 1.12313i | 0.0149857 | + | 0.189843i | ||||
\(36\) | −0.959493 | − | 0.281733i | −0.159915 | − | 0.0469554i | ||||
\(37\) | −2.77787 | − | 7.44776i | −0.456679 | − | 1.22440i | −0.937623 | − | 0.347653i | \(-0.886979\pi\) |
0.480944 | − | 0.876751i | \(-0.340294\pi\) | |||||||
\(38\) | −0.505999 | − | 2.32604i | −0.0820839 | − | 0.377334i | ||||
\(39\) | 0.727480 | + | 2.47757i | 0.116490 | + | 0.396728i | ||||
\(40\) | −1.56944 | + | 1.59276i | −0.248150 | + | 0.251837i | ||||
\(41\) | −0.135612 | − | 0.296948i | −0.0211790 | − | 0.0463755i | 0.898747 | − | 0.438468i | \(-0.144479\pi\) |
−0.919926 | + | 0.392092i | \(0.871751\pi\) | |||||||
\(42\) | 0.403344 | + | 0.301940i | 0.0622374 | + | 0.0465903i | ||||
\(43\) | 11.1698 | + | 2.42984i | 1.70338 | + | 0.370547i | 0.955889 | − | 0.293728i | \(-0.0948959\pi\) |
0.747488 | + | 0.664275i | \(0.231260\pi\) | |||||||
\(44\) | −2.57204 | + | 2.96829i | −0.387749 | + | 0.447486i | ||||
\(45\) | −2.21090 | + | 0.334539i | −0.329582 | + | 0.0498701i | ||||
\(46\) | −4.79234 | − | 0.183083i | −0.706591 | − | 0.0269941i | ||||
\(47\) | 1.49956 | + | 1.49956i | 0.218733 | + | 0.218733i | 0.807964 | − | 0.589232i | \(-0.200569\pi\) |
−0.589232 | + | 0.807964i | \(0.700569\pi\) | |||||||
\(48\) | 0.0713392 | + | 0.997452i | 0.0102969 | + | 0.143970i | ||||
\(49\) | 3.64724 | + | 5.67522i | 0.521035 | + | 0.810746i | ||||
\(50\) | −1.67804 | + | 4.71001i | −0.237311 | + | 0.666096i | ||||
\(51\) | −6.00280 | + | 2.74139i | −0.840560 | + | 0.383871i | ||||
\(52\) | 2.06713 | − | 1.54743i | 0.286659 | − | 0.214590i | ||||
\(53\) | 5.54089 | + | 3.02556i | 0.761100 | + | 0.415592i | 0.812407 | − | 0.583091i | \(-0.198157\pi\) |
−0.0513067 | + | 0.998683i | \(0.516339\pi\) | |||||||
\(54\) | −0.540641 | + | 0.841254i | −0.0735719 | + | 0.114480i | ||||
\(55\) | −2.41208 | + | 8.44467i | −0.325245 | + | 1.13868i | ||||
\(56\) | 0.141948 | − | 0.483431i | 0.0189686 | − | 0.0646011i | ||||
\(57\) | −2.37438 | − | 0.169819i | −0.314494 | − | 0.0224930i | ||||
\(58\) | 10.1849 | + | 0.728439i | 1.33734 | + | 0.0956487i | ||||
\(59\) | −1.90896 | + | 6.50131i | −0.248525 | + | 0.846398i | 0.736858 | + | 0.676047i | \(0.236308\pi\) |
−0.985383 | + | 0.170351i | \(0.945510\pi\) | |||||||
\(60\) | 1.08608 | + | 1.95459i | 0.140212 | + | 0.252337i | ||||
\(61\) | −0.289132 | + | 0.449898i | −0.0370195 | + | 0.0576035i | −0.859270 | − | 0.511522i | \(-0.829082\pi\) |
0.822251 | + | 0.569126i | \(0.192718\pi\) | |||||||
\(62\) | −9.09110 | − | 4.96412i | −1.15457 | − | 0.630444i | ||||
\(63\) | 0.403344 | − | 0.301940i | 0.0508166 | − | 0.0380408i | ||||
\(64\) | 0.909632 | − | 0.415415i | 0.113704 | − | 0.0519269i | ||||
\(65\) | 2.72969 | − | 5.08789i | 0.338576 | − | 0.631076i | ||||
\(66\) | 2.12343 | + | 3.30412i | 0.261376 | + | 0.406709i | ||||
\(67\) | 0.180616 | + | 2.52534i | 0.0220658 | + | 0.308520i | 0.996484 | + | 0.0837789i | \(0.0266989\pi\) |
−0.974419 | + | 0.224741i | \(0.927847\pi\) | |||||||
\(68\) | 4.66631 | + | 4.66631i | 0.565873 | + | 0.565873i | ||||
\(69\) | −1.52582 | + | 4.54663i | −0.183688 | + | 0.547350i | ||||
\(70\) | −0.168554 | − | 1.11394i | −0.0201460 | − | 0.133141i | ||||
\(71\) | 1.17051 | − | 1.35084i | 0.138914 | − | 0.160316i | −0.682029 | − | 0.731325i | \(-0.738902\pi\) |
0.820944 | + | 0.571009i | \(0.193448\pi\) | |||||||
\(72\) | 0.977147 | + | 0.212565i | 0.115158 | + | 0.0250511i | ||||
\(73\) | 9.28276 | + | 6.94898i | 1.08646 | + | 0.813317i | 0.983417 | − | 0.181359i | \(-0.0580497\pi\) |
0.103047 | + | 0.994676i | \(0.467141\pi\) | |||||||
\(74\) | 3.30211 | + | 7.23061i | 0.383863 | + | 0.840542i | ||||
\(75\) | 4.04646 | + | 2.93703i | 0.467245 | + | 0.339139i | ||||
\(76\) | 0.670648 | + | 2.28402i | 0.0769286 | + | 0.261995i | ||||
\(77\) | −0.420642 | − | 1.93366i | −0.0479367 | − | 0.220361i | ||||
\(78\) | −0.902374 | − | 2.41936i | −0.102174 | − | 0.273938i | ||||
\(79\) | −11.1714 | − | 3.28021i | −1.25688 | − | 0.369052i | −0.415546 | − | 0.909572i | \(-0.636409\pi\) |
−0.841331 | + | 0.540520i | \(0.818228\pi\) | |||||||
\(80\) | 1.45181 | − | 1.70066i | 0.162317 | − | 0.190140i | ||||
\(81\) | 0.654861 | + | 0.755750i | 0.0727623 | + | 0.0839722i | ||||
\(82\) | 0.156450 | + | 0.286517i | 0.0172770 | + | 0.0316405i | ||||
\(83\) | −16.9842 | + | 6.33478i | −1.86426 | + | 0.695332i | −0.896723 | + | 0.442593i | \(0.854059\pi\) |
−0.967534 | + | 0.252739i | \(0.918669\pi\) | |||||||
\(84\) | −0.423857 | − | 0.272396i | −0.0462466 | − | 0.0297209i | ||||
\(85\) | 13.8634 | + | 5.05465i | 1.50370 | + | 0.548254i | ||||
\(86\) | −11.3147 | − | 1.62680i | −1.22009 | − | 0.175423i | ||||
\(87\) | 3.56835 | − | 9.56712i | 0.382567 | − | 1.02570i | ||||
\(88\) | 2.35373 | − | 3.14421i | 0.250908 | − | 0.335174i | ||||
\(89\) | −8.76768 | + | 5.63465i | −0.929372 | + | 0.597271i | −0.915363 | − | 0.402630i | \(-0.868096\pi\) |
−0.0140098 | + | 0.999902i | \(0.504460\pi\) | |||||||
\(90\) | 2.18140 | − | 0.491410i | 0.229940 | − | 0.0517992i | ||||
\(91\) | 1.30100i | 0.136382i | ||||||||
\(92\) | 4.79319 | − | 0.159265i | 0.499724 | − | 0.0166045i | ||||
\(93\) | −7.32430 | + | 7.32430i | −0.759494 | + | 0.759494i | ||||
\(94\) | −1.60271 | − | 1.38876i | −0.165307 | − | 0.143239i | ||||
\(95\) | 3.51528 | + | 3.99691i | 0.360660 | + | 0.410075i | ||||
\(96\) | −0.142315 | − | 0.989821i | −0.0145249 | − | 0.101023i | ||||
\(97\) | 4.85650 | + | 1.81138i | 0.493103 | + | 0.183918i | 0.583699 | − | 0.811970i | \(-0.301605\pi\) |
−0.0905967 | + | 0.995888i | \(0.528877\pi\) | |||||||
\(98\) | −4.04281 | − | 5.40057i | −0.408386 | − | 0.545540i | ||||
\(99\) | 3.76851 | − | 1.10654i | 0.378750 | − | 0.111211i | ||||
\(100\) | 1.33776 | − | 4.81772i | 0.133776 | − | 0.481772i | ||||
\(101\) | 4.69200 | − | 10.2740i | 0.466871 | − | 1.02231i | −0.518996 | − | 0.854777i | \(-0.673694\pi\) |
0.985867 | − | 0.167529i | \(-0.0535786\pi\) | |||||||
\(102\) | 5.79194 | − | 3.16264i | 0.573487 | − | 0.313148i | ||||
\(103\) | 0.272344 | − | 3.80786i | 0.0268348 | − | 0.375200i | −0.966234 | − | 0.257666i | \(-0.917047\pi\) |
0.993069 | − | 0.117534i | \(-0.0374989\pi\) | |||||||
\(104\) | −1.95147 | + | 1.69096i | −0.191357 | + | 0.165812i | ||||
\(105\) | −1.11630 | − | 0.152107i | −0.108940 | − | 0.0148441i | ||||
\(106\) | −5.74262 | − | 2.62257i | −0.557772 | − | 0.254726i | ||||
\(107\) | −2.44464 | + | 0.531798i | −0.236332 | + | 0.0514108i | −0.329171 | − | 0.944270i | \(-0.606769\pi\) |
0.0928394 | + | 0.995681i | \(0.470406\pi\) | |||||||
\(108\) | 0.479249 | − | 0.877679i | 0.0461158 | − | 0.0844547i | ||||
\(109\) | 2.78346 | − | 19.3594i | 0.266607 | − | 1.85429i | −0.213319 | − | 0.976983i | \(-0.568428\pi\) |
0.479926 | − | 0.877309i | \(-0.340663\pi\) | |||||||
\(110\) | 1.80350 | − | 8.59523i | 0.171957 | − | 0.819523i | ||||
\(111\) | 7.86804 | − | 1.13125i | 0.746801 | − | 0.107374i | ||||
\(112\) | −0.107099 | + | 0.492325i | −0.0101199 | + | 0.0465204i | ||||
\(113\) | −7.70000 | + | 0.550715i | −0.724355 | + | 0.0518069i | −0.428648 | − | 0.903472i | \(-0.641010\pi\) |
−0.295708 | + | 0.955279i | \(0.595555\pi\) | |||||||
\(114\) | 2.38044 | 0.222949 | ||||||||
\(115\) | 9.56591 | − | 4.84699i | 0.892026 | − | 0.451984i | ||||
\(116\) | −10.2109 | −0.948060 | ||||||||
\(117\) | −2.57559 | + | 0.184210i | −0.238113 | + | 0.0170302i | ||||
\(118\) | 1.44029 | − | 6.62093i | 0.132590 | − | 0.609506i | ||||
\(119\) | −3.29107 | + | 0.473185i | −0.301692 | + | 0.0433768i | ||||
\(120\) | −1.22275 | − | 1.87213i | −0.111621 | − | 0.170902i | ||||
\(121\) | 0.629902 | − | 4.38107i | 0.0572639 | − | 0.398279i | ||||
\(122\) | 0.256300 | − | 0.469378i | 0.0232043 | − | 0.0424955i | ||||
\(123\) | 0.318988 | − | 0.0693916i | 0.0287622 | − | 0.00625683i | ||||
\(124\) | 9.42208 | + | 4.30292i | 0.846128 | + | 0.386414i | ||||
\(125\) | −1.83554 | − | 11.0286i | −0.164176 | − | 0.986431i | ||||
\(126\) | −0.380777 | + | 0.329945i | −0.0339223 | + | 0.0293938i | ||||
\(127\) | 1.31112 | − | 18.3319i | 0.116343 | − | 1.62669i | −0.519219 | − | 0.854641i | \(-0.673777\pi\) |
0.635562 | − | 0.772050i | \(-0.280768\pi\) | |||||||
\(128\) | −0.877679 | + | 0.479249i | −0.0775766 | + | 0.0423600i | ||||
\(129\) | −4.74862 | + | 10.3980i | −0.418093 | + | 0.915495i | ||||
\(130\) | −2.35977 | + | 5.26966i | −0.206965 | + | 0.462180i | ||||
\(131\) | 7.42203 | − | 2.17930i | 0.648466 | − | 0.190407i | 0.0590733 | − | 0.998254i | \(-0.481185\pi\) |
0.589392 | + | 0.807847i | \(0.299367\pi\) | |||||||
\(132\) | −2.35373 | − | 3.14421i | −0.204866 | − | 0.273669i | ||||
\(133\) | −1.12374 | − | 0.419134i | −0.0974407 | − | 0.0363435i | ||||
\(134\) | −0.360312 | − | 2.50602i | −0.0311262 | − | 0.216487i | ||||
\(135\) | 0.143068 | − | 2.23149i | 0.0123133 | − | 0.192056i | ||||
\(136\) | −4.98731 | − | 4.32153i | −0.427658 | − | 0.370568i | ||||
\(137\) | 12.1207 | − | 12.1207i | 1.03554 | − | 1.03554i | 0.0362004 | − | 0.999345i | \(-0.488475\pi\) |
0.999345 | − | 0.0362004i | \(-0.0115255\pi\) | |||||||
\(138\) | 1.19758 | − | 4.64390i | 0.101945 | − | 0.395315i | ||||
\(139\) | 13.4237i | 1.13859i | 0.822134 | + | 0.569294i | \(0.192783\pi\) | ||||
−0.822134 | + | 0.569294i | \(0.807217\pi\) | |||||||
\(140\) | 0.247592 | + | 1.09908i | 0.0209253 | + | 0.0928890i | ||||
\(141\) | −1.78404 | + | 1.14653i | −0.150243 | + | 0.0965554i | ||||
\(142\) | −1.07116 | + | 1.43091i | −0.0898899 | + | 0.120079i | ||||
\(143\) | −3.54417 | + | 9.50230i | −0.296379 | + | 0.794622i | ||||
\(144\) | −0.989821 | − | 0.142315i | −0.0824851 | − | 0.0118596i | ||||
\(145\) | −20.6985 | + | 9.63779i | −1.71892 | + | 0.800375i | ||||
\(146\) | −9.75484 | − | 6.26905i | −0.807316 | − | 0.518831i | ||||
\(147\) | −6.32080 | + | 2.35754i | −0.521331 | + | 0.194446i | ||||
\(148\) | −3.80952 | − | 6.97662i | −0.313141 | − | 0.573475i | ||||
\(149\) | 0.403750 | + | 0.465952i | 0.0330765 | + | 0.0381723i | 0.772047 | − | 0.635566i | \(-0.219233\pi\) |
−0.738970 | + | 0.673738i | \(0.764688\pi\) | |||||||
\(150\) | −4.24568 | − | 2.64088i | −0.346658 | − | 0.215627i | ||||
\(151\) | −21.8306 | − | 6.41003i | −1.77655 | − | 0.521641i | −0.781755 | − | 0.623585i | \(-0.785675\pi\) |
−0.994790 | + | 0.101944i | \(0.967494\pi\) | |||||||
\(152\) | −0.831879 | − | 2.23035i | −0.0674743 | − | 0.180906i | ||||
\(153\) | −1.40275 | − | 6.44834i | −0.113406 | − | 0.521318i | ||||
\(154\) | 0.557517 | + | 1.89873i | 0.0449260 | + | 0.153004i | ||||
\(155\) | 23.1608 | − | 0.170799i | 1.86032 | − | 0.0137189i | ||||
\(156\) | 1.07267 | + | 2.34882i | 0.0858823 | + | 0.188056i | ||||
\(157\) | −8.39737 | − | 6.28619i | −0.670183 | − | 0.501693i | 0.209160 | − | 0.977881i | \(-0.432927\pi\) |
−0.879343 | + | 0.476189i | \(0.842018\pi\) | |||||||
\(158\) | 11.3769 | + | 2.47490i | 0.905098 | + | 0.196892i | ||||
\(159\) | −4.13422 | + | 4.77114i | −0.327865 | + | 0.378376i | ||||
\(160\) | −1.32679 | + | 1.79990i | −0.104892 | + | 0.142294i | ||||
\(161\) | −1.38302 | + | 1.98139i | −0.108997 | + | 0.156156i | ||||
\(162\) | −0.707107 | − | 0.707107i | −0.0555556 | − | 0.0555556i | ||||
\(163\) | 0.0270692 | + | 0.378477i | 0.00212022 | + | 0.0296446i | 0.998402 | − | 0.0565090i | \(-0.0179970\pi\) |
−0.996282 | + | 0.0861536i | \(0.972542\pi\) | |||||||
\(164\) | −0.176491 | − | 0.274626i | −0.0137817 | − | 0.0214447i | ||||
\(165\) | −7.73896 | − | 4.15200i | −0.602477 | − | 0.323233i | ||||
\(166\) | 16.4890 | − | 7.53027i | 1.27979 | − | 0.584463i | ||||
\(167\) | 6.32821 | − | 4.73724i | 0.489691 | − | 0.366578i | −0.325714 | − | 0.945468i | \(-0.605605\pi\) |
0.815406 | + | 0.578890i | \(0.196514\pi\) | |||||||
\(168\) | 0.442209 | + | 0.241465i | 0.0341172 | + | 0.0186294i | ||||
\(169\) | −3.42357 | + | 5.32718i | −0.263351 | + | 0.409783i | ||||
\(170\) | −14.1887 | − | 4.05277i | −1.08822 | − | 0.310833i | ||||
\(171\) | 0.670648 | − | 2.28402i | 0.0512857 | − | 0.174663i | ||||
\(172\) | 11.4019 | + | 0.815480i | 0.869387 | + | 0.0621798i | ||||
\(173\) | −7.03476 | − | 0.503136i | −0.534843 | − | 0.0382527i | −0.198694 | − | 0.980062i | \(-0.563670\pi\) |
−0.336149 | + | 0.941809i | \(0.609124\pi\) | |||||||
\(174\) | −2.87675 | + | 9.79731i | −0.218086 | + | 0.742732i | ||||
\(175\) | 1.53928 | + | 1.99424i | 0.116358 | + | 0.150750i | ||||
\(176\) | −2.12343 | + | 3.30412i | −0.160059 | + | 0.249057i | ||||
\(177\) | −5.94696 | − | 3.24728i | −0.447001 | − | 0.244081i | ||||
\(178\) | 8.34337 | − | 6.24577i | 0.625362 | − | 0.468140i | ||||
\(179\) | 22.7971 | − | 10.4111i | 1.70394 | − | 0.778161i | 0.706414 | − | 0.707799i | \(-0.250312\pi\) |
0.997522 | − | 0.0703620i | \(-0.0224155\pi\) | |||||||
\(180\) | −2.14079 | + | 0.645777i | −0.159565 | + | 0.0481334i | ||||
\(181\) | −5.89904 | − | 9.17908i | −0.438472 | − | 0.682276i | 0.549746 | − | 0.835332i | \(-0.314725\pi\) |
−0.988217 | + | 0.153057i | \(0.951088\pi\) | |||||||
\(182\) | −0.0928121 | − | 1.29768i | −0.00687969 | − | 0.0961906i | ||||
\(183\) | −0.378157 | − | 0.378157i | −0.0279542 | − | 0.0279542i | ||||
\(184\) | −4.76961 | + | 0.500801i | −0.351620 | + | 0.0369196i | ||||
\(185\) | −14.3073 | − | 10.5466i | −1.05189 | − | 0.775399i | ||||
\(186\) | 6.78313 | − | 7.82815i | 0.497363 | − | 0.573987i | ||||
\(187\) | −25.3266 | − | 5.50946i | −1.85206 | − | 0.402892i | ||||
\(188\) | 1.69770 | + | 1.27088i | 0.123818 | + | 0.0926887i | ||||
\(189\) | 0.209303 | + | 0.458309i | 0.0152245 | + | 0.0333371i | ||||
\(190\) | −3.79146 | − | 3.73595i | −0.275062 | − | 0.271034i | ||||
\(191\) | 0.0566860 | + | 0.193055i | 0.00410165 | + | 0.0139689i | 0.961518 | − | 0.274741i | \(-0.0885920\pi\) |
−0.957417 | + | 0.288710i | \(0.906774\pi\) | |||||||
\(192\) | 0.212565 | + | 0.977147i | 0.0153406 | + | 0.0705195i | ||||
\(193\) | −5.62637 | − | 15.0849i | −0.404995 | − | 1.08583i | −0.966118 | − | 0.258101i | \(-0.916903\pi\) |
0.561123 | − | 0.827733i | \(-0.310370\pi\) | |||||||
\(194\) | −4.97335 | − | 1.46031i | −0.357065 | − | 0.104844i | ||||
\(195\) | 4.39138 | + | 3.74882i | 0.314473 | + | 0.268458i | ||||
\(196\) | 4.41779 | + | 5.09840i | 0.315556 | + | 0.364171i | ||||
\(197\) | −0.381987 | − | 0.699557i | −0.0272155 | − | 0.0498414i | 0.863717 | − | 0.503976i | \(-0.168130\pi\) |
−0.890933 | + | 0.454135i | \(0.849948\pi\) | |||||||
\(198\) | −3.67997 | + | 1.37256i | −0.261524 | + | 0.0975435i | ||||
\(199\) | 9.45687 | + | 6.07756i | 0.670380 | + | 0.430827i | 0.831062 | − | 0.556179i | \(-0.187733\pi\) |
−0.160683 | + | 0.987006i | \(0.551370\pi\) | |||||||
\(200\) | −0.990655 | + | 4.90088i | −0.0700499 | + | 0.346544i | ||||
\(201\) | −2.50602 | − | 0.360312i | −0.176761 | − | 0.0254144i | ||||
\(202\) | −3.94710 | + | 10.5826i | −0.277717 | + | 0.744588i | ||||
\(203\) | 3.08308 | − | 4.11852i | 0.216390 | − | 0.289063i | ||||
\(204\) | −5.55156 | + | 3.56777i | −0.388687 | + | 0.249794i | ||||
\(205\) | −0.616975 | − | 0.390107i | −0.0430914 | − | 0.0272463i | ||||
\(206\) | 3.81759i | 0.265984i | ||||||||
\(207\) | −4.11839 | − | 2.45741i | −0.286248 | − | 0.170802i | ||||
\(208\) | 1.82587 | − | 1.82587i | 0.126601 | − | 0.126601i | ||||
\(209\) | −7.06584 | − | 6.12259i | −0.488754 | − | 0.423508i | ||||
\(210\) | 1.12431 | + | 0.0720831i | 0.0775849 | + | 0.00497421i | ||||
\(211\) | −1.16720 | − | 8.11806i | −0.0803535 | − | 0.558871i | −0.989736 | − | 0.142909i | \(-0.954354\pi\) |
0.909382 | − | 0.415961i | \(-0.136555\pi\) | |||||||
\(212\) | 5.91508 | + | 2.20621i | 0.406249 | + | 0.151523i | ||||
\(213\) | 1.07116 | + | 1.43091i | 0.0733948 | + | 0.0980440i | ||||
\(214\) | 2.40047 | − | 0.704841i | 0.164093 | − | 0.0481820i | ||||
\(215\) | 23.8824 | − | 9.10886i | 1.62877 | − | 0.621219i | ||||
\(216\) | −0.415415 | + | 0.909632i | −0.0282654 | + | 0.0618926i | ||||
\(217\) | −4.58046 | + | 2.50112i | −0.310942 | + | 0.169787i | ||||
\(218\) | −1.39528 | + | 19.5086i | −0.0945005 | + | 1.32129i | ||||
\(219\) | −8.76337 | + | 7.59350i | −0.592174 | + | 0.513121i | ||||
\(220\) | −1.18573 | + | 8.70199i | −0.0799417 | + | 0.586688i | ||||
\(221\) | 15.5002 | + | 7.07871i | 1.04266 | + | 0.476166i | ||||
\(222\) | −7.76729 | + | 1.68967i | −0.521306 | + | 0.113403i | ||||
\(223\) | −1.42916 | + | 2.61731i | −0.0957036 | + | 0.175268i | −0.921145 | − | 0.389220i | \(-0.872745\pi\) |
0.825441 | + | 0.564488i | \(0.190926\pi\) | |||||||
\(224\) | 0.0717039 | − | 0.498711i | 0.00479092 | − | 0.0333216i | ||||
\(225\) | −3.73005 | + | 3.32968i | −0.248670 | + | 0.221978i | ||||
\(226\) | 7.64110 | − | 1.09862i | 0.508278 | − | 0.0730794i | ||||
\(227\) | −3.89918 | + | 17.9242i | −0.258798 | + | 1.18967i | 0.645834 | + | 0.763478i | \(0.276510\pi\) |
−0.904631 | + | 0.426195i | \(0.859854\pi\) | |||||||
\(228\) | −2.37438 | + | 0.169819i | −0.157247 | + | 0.0112465i | ||||
\(229\) | 10.1715 | 0.672150 | 0.336075 | − | 0.941835i | \(-0.390900\pi\) | ||||
0.336075 | + | 0.941835i | \(0.390900\pi\) | |||||||
\(230\) | −9.19576 | + | 5.51707i | −0.606350 | + | 0.363785i | ||||
\(231\) | 1.97889 | 0.130201 | ||||||||
\(232\) | 10.1849 | − | 0.728439i | 0.668672 | − | 0.0478244i | ||||
\(233\) | 0.420059 | − | 1.93098i | 0.0275190 | − | 0.126503i | −0.961338 | − | 0.275371i | \(-0.911199\pi\) |
0.988857 | + | 0.148868i | \(0.0475630\pi\) | |||||||
\(234\) | 2.55588 | − | 0.367480i | 0.167083 | − | 0.0240229i | ||||
\(235\) | 4.64095 | + | 0.973789i | 0.302742 | + | 0.0635230i | ||||
\(236\) | −0.964293 | + | 6.70681i | −0.0627702 | + | 0.436576i | ||||
\(237\) | 5.57989 | − | 10.2188i | 0.362453 | − | 0.663783i | ||||
\(238\) | 3.24893 | − | 0.706762i | 0.210597 | − | 0.0458126i | ||||
\(239\) | −26.7763 | − | 12.2283i | −1.73201 | − | 0.790984i | −0.993112 | − | 0.117170i | \(-0.962618\pi\) |
−0.738901 | − | 0.673813i | \(-0.764655\pi\) | |||||||
\(240\) | 1.35319 | + | 1.78013i | 0.0873480 | + | 0.114907i | ||||
\(241\) | −11.6043 | + | 10.0551i | −0.747495 | + | 0.647709i | −0.942923 | − | 0.333010i | \(-0.891936\pi\) |
0.195428 | + | 0.980718i | \(0.437390\pi\) | |||||||
\(242\) | −0.315756 | + | 4.41484i | −0.0202975 | + | 0.283797i | ||||
\(243\) | −0.877679 | + | 0.479249i | −0.0563031 | + | 0.0307438i | ||||
\(244\) | −0.222162 | + | 0.486466i | −0.0142224 | + | 0.0311428i | ||||
\(245\) | 13.7675 | + | 6.16511i | 0.879573 | + | 0.393875i | ||||
\(246\) | −0.313225 | + | 0.0919711i | −0.0199705 | + | 0.00586386i | ||||
\(247\) | 3.68358 | + | 4.92068i | 0.234380 | + | 0.313095i | ||||
\(248\) | −9.70504 | − | 3.61979i | −0.616271 | − | 0.229857i | ||||
\(249\) | −2.57976 | − | 17.9426i | −0.163485 | − | 1.13707i | ||||
\(250\) | 2.61764 | + | 10.8696i | 0.165554 | + | 0.687453i | ||||
\(251\) | −17.8394 | − | 15.4579i | −1.12601 | − | 0.975693i | −0.126143 | − | 0.992012i | \(-0.540260\pi\) |
−0.999867 | + | 0.0163187i | \(0.994805\pi\) | |||||||
\(252\) | 0.356268 | − | 0.356268i | 0.0224428 | − | 0.0224428i | ||||
\(253\) | −15.4991 | + | 10.7042i | −0.974417 | + | 0.672968i | ||||
\(254\) | 18.3787i | 1.15318i | ||||||||
\(255\) | −7.88602 | + | 12.4722i | −0.493842 | + | 0.781037i | ||||
\(256\) | 0.841254 | − | 0.540641i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | 12.1985 | − | 16.2953i | 0.760920 | − | 1.01647i | −0.238057 | − | 0.971251i | \(-0.576510\pi\) |
0.998977 | − | 0.0452192i | \(-0.0143986\pi\) | |||||||
\(258\) | 3.99473 | − | 10.7103i | 0.248701 | − | 0.666794i | ||||
\(259\) | 3.96423 | + | 0.569970i | 0.246325 | + | 0.0354162i | ||||
\(260\) | 1.97782 | − | 5.42458i | 0.122659 | − | 0.336418i | ||||
\(261\) | 8.58997 | + | 5.52044i | 0.531706 | + | 0.341707i | ||||
\(262\) | −7.24765 | + | 2.70323i | −0.447761 | + | 0.167006i | ||||
\(263\) | 6.03304 | + | 11.0487i | 0.372013 | + | 0.681291i | 0.994883 | − | 0.101034i | \(-0.0322152\pi\) |
−0.622870 | + | 0.782325i | \(0.714033\pi\) | |||||||
\(264\) | 2.57204 | + | 2.96829i | 0.158298 | + | 0.182686i | ||||
\(265\) | 14.0728 | − | 1.11087i | 0.864485 | − | 0.0682403i | ||||
\(266\) | 1.15078 | + | 0.337899i | 0.0705588 | + | 0.0207179i | ||||
\(267\) | −3.64217 | − | 9.76504i | −0.222897 | − | 0.597611i | ||||
\(268\) | 0.538171 | + | 2.47393i | 0.0328740 | + | 0.151119i | ||||
\(269\) | 1.99449 | + | 6.79260i | 0.121606 | + | 0.414152i | 0.997684 | − | 0.0680171i | \(-0.0216672\pi\) |
−0.876078 | + | 0.482169i | \(0.839849\pi\) | |||||||
\(270\) | 0.0164894 | + | 2.23601i | 0.00100351 | + | 0.136079i | ||||
\(271\) | −3.41079 | − | 7.46858i | −0.207191 | − | 0.453684i | 0.777298 | − | 0.629133i | \(-0.216590\pi\) |
−0.984489 | + | 0.175449i | \(0.943862\pi\) | |||||||
\(272\) | 5.28290 | + | 3.95473i | 0.320323 | + | 0.239790i | ||||
\(273\) | −1.27127 | − | 0.276547i | −0.0769405 | − | 0.0167374i | ||||
\(274\) | −11.2252 | + | 12.9545i | −0.678138 | + | 0.782613i | ||||
\(275\) | 5.80997 | + | 18.7589i | 0.350354 | + | 1.13121i | ||||
\(276\) | −0.863240 | + | 4.71750i | −0.0519609 | + | 0.283960i | ||||
\(277\) | −12.4988 | − | 12.4988i | −0.750978 | − | 0.750978i | 0.223684 | − | 0.974662i | \(-0.428192\pi\) |
−0.974662 | + | 0.223684i | \(0.928192\pi\) | |||||||
\(278\) | −0.957639 | − | 13.3895i | −0.0574354 | − | 0.803051i | ||||
\(279\) | −5.60002 | − | 8.71381i | −0.335265 | − | 0.521682i | ||||
\(280\) | −0.325368 | − | 1.07861i | −0.0194445 | − | 0.0644595i | ||||
\(281\) | 13.7129 | − | 6.26247i | 0.818043 | − | 0.373588i | 0.0379720 | − | 0.999279i | \(-0.487910\pi\) |
0.780071 | + | 0.625691i | \(0.215183\pi\) | |||||||
\(282\) | 1.69770 | − | 1.27088i | 0.101097 | − | 0.0756800i | ||||
\(283\) | 9.78990 | + | 5.34569i | 0.581949 | + | 0.317768i | 0.743120 | − | 0.669158i | \(-0.233345\pi\) |
−0.161171 | + | 0.986927i | \(0.551527\pi\) | |||||||
\(284\) | 0.966353 | − | 1.50368i | 0.0573425 | − | 0.0892267i | ||||
\(285\) | −4.65280 | + | 2.58534i | −0.275608 | + | 0.153142i | ||||
\(286\) | 2.85726 | − | 9.73092i | 0.168953 | − | 0.575402i | ||||
\(287\) | 0.164059 | + | 0.0117337i | 0.00968407 | + | 0.000692618i | ||||
\(288\) | 0.997452 | + | 0.0713392i | 0.0587754 | + | 0.00420370i | ||||
\(289\) | −7.47967 | + | 25.4734i | −0.439981 | + | 1.49844i | ||||
\(290\) | 19.9582 | − | 11.0898i | 1.17199 | − | 0.651218i | ||||
\(291\) | −2.80231 | + | 4.36047i | −0.164274 | + | 0.255616i | ||||
\(292\) | 10.1772 | + | 5.55718i | 0.595576 | + | 0.325209i | ||||
\(293\) | 18.4345 | − | 13.7999i | 1.07696 | − | 0.806200i | 0.0950326 | − | 0.995474i | \(-0.469704\pi\) |
0.981924 | + | 0.189274i | \(0.0606136\pi\) | |||||||
\(294\) | 6.13651 | − | 2.80245i | 0.357889 | − | 0.163442i | ||||
\(295\) | 4.37564 | + | 14.5055i | 0.254760 | + | 0.844543i | ||||
\(296\) | 4.29752 | + | 6.68708i | 0.249788 | + | 0.388678i | ||||
\(297\) | 0.280192 | + | 3.91760i | 0.0162584 | + | 0.227322i | ||||
\(298\) | −0.435962 | − | 0.435962i | −0.0252546 | − | 0.0252546i | ||||
\(299\) | 11.4527 | − | 4.71057i | 0.662328 | − | 0.272419i | ||||
\(300\) | 4.42326 | + | 2.33126i | 0.255377 | + | 0.134596i | ||||
\(301\) | −3.77161 | + | 4.35267i | −0.217392 | + | 0.250884i | ||||
\(302\) | 22.2322 | + | 4.83632i | 1.27932 | + | 0.278299i | ||||
\(303\) | 9.04189 | + | 6.76867i | 0.519443 | + | 0.388850i | ||||
\(304\) | 0.988871 | + | 2.16533i | 0.0567157 | + | 0.124190i | ||||
\(305\) | 0.00881845 | + | 1.19580i | 0.000504943 | + | 0.0684716i | ||||
\(306\) | 1.85920 | + | 6.33184i | 0.106283 | + | 0.361967i | ||||
\(307\) | 0.417156 | + | 1.91763i | 0.0238083 | + | 0.109445i | 0.987518 | − | 0.157509i | \(-0.0503464\pi\) |
−0.963709 | + | 0.266954i | \(0.913983\pi\) | |||||||
\(308\) | −0.691550 | − | 1.85412i | −0.0394047 | − | 0.105648i | ||||
\(309\) | 3.66295 | + | 1.07554i | 0.208378 | + | 0.0611853i | ||||
\(310\) | −23.0896 | + | 1.82264i | −1.31140 | + | 0.103519i | ||||
\(311\) | −5.83513 | − | 6.73410i | −0.330880 | − | 0.381856i | 0.565794 | − | 0.824546i | \(-0.308570\pi\) |
−0.896675 | + | 0.442690i | \(0.854024\pi\) | |||||||
\(312\) | −1.23750 | − | 2.26631i | −0.0700596 | − | 0.128305i | ||||
\(313\) | 7.01735 | − | 2.61734i | 0.396644 | − | 0.147941i | −0.143224 | − | 0.989690i | \(-0.545747\pi\) |
0.539868 | + | 0.841750i | \(0.318474\pi\) | |||||||
\(314\) | 8.82442 | + | 5.67111i | 0.497991 | + | 0.320039i | ||||
\(315\) | 0.385918 | − | 1.05846i | 0.0217440 | − | 0.0596375i | ||||
\(316\) | −11.5245 | − | 1.65697i | −0.648303 | − | 0.0932118i | ||||
\(317\) | 0.348979 | − | 0.935649i | 0.0196006 | − | 0.0525513i | −0.926781 | − | 0.375602i | \(-0.877436\pi\) |
0.946382 | + | 0.323051i | \(0.104709\pi\) | |||||||
\(318\) | 3.78331 | − | 5.05391i | 0.212158 | − | 0.283409i | ||||
\(319\) | 33.7381 | − | 21.6821i | 1.88897 | − | 1.21397i | ||||
\(320\) | 1.19500 | − | 1.88996i | 0.0668028 | − | 0.105652i | ||||
\(321\) | − | 2.50181i | − | 0.139637i | ||||||
\(322\) | 1.23814 | − | 2.07501i | 0.0689989 | − | 0.115636i | ||||
\(323\) | −11.1079 | + | 11.1079i | −0.618059 | + | 0.618059i | ||||
\(324\) | 0.755750 | + | 0.654861i | 0.0419861 | + | 0.0363812i | ||||
\(325\) | −1.11087 | − | 12.8629i | −0.0616202 | − | 0.713508i | ||||
\(326\) | −0.0540005 | − | 0.375582i | −0.00299081 | − | 0.0208015i | ||||
\(327\) | 18.3253 | + | 6.83498i | 1.01339 | + | 0.377975i | ||||
\(328\) | 0.195633 | + | 0.261335i | 0.0108020 | + | 0.0144298i | ||||
\(329\) | −1.02521 | + | 0.301028i | −0.0565215 | + | 0.0165962i | ||||
\(330\) | 8.01544 | + | 3.58933i | 0.441236 | + | 0.197586i | ||||
\(331\) | 8.82469 | − | 19.3234i | 0.485049 | − | 1.06211i | −0.495996 | − | 0.868325i | \(-0.665197\pi\) |
0.981044 | − | 0.193783i | \(-0.0620759\pi\) | |||||||
\(332\) | −15.9098 | + | 8.68740i | −0.873163 | + | 0.476783i | ||||
\(333\) | −0.567071 | + | 7.92869i | −0.0310753 | + | 0.434490i | ||||
\(334\) | −5.97413 | + | 5.17661i | −0.326890 | + | 0.283252i | ||||
\(335\) | 3.42599 | + | 4.50693i | 0.187182 | + | 0.246240i | ||||
\(336\) | −0.458309 | − | 0.209303i | −0.0250028 | − | 0.0114184i | ||||
\(337\) | 3.28480 | − | 0.714565i | 0.178935 | − | 0.0389248i | −0.122205 | − | 0.992505i | \(-0.538997\pi\) |
0.301140 | + | 0.953580i | \(0.402633\pi\) | |||||||
\(338\) | 3.03481 | − | 5.55784i | 0.165072 | − | 0.302307i | ||||
\(339\) | 1.09862 | − | 7.64110i | 0.0596691 | − | 0.415007i | ||||
\(340\) | 14.4417 | + | 3.03023i | 0.783210 | + | 0.164337i | ||||
\(341\) | −40.2686 | + | 5.78975i | −2.18067 | + | 0.313532i | ||||
\(342\) | −0.505999 | + | 2.32604i | −0.0273613 | + | 0.125778i | ||||
\(343\) | −6.90821 | + | 0.494085i | −0.373008 | + | 0.0266781i | ||||
\(344\) | −11.4310 | −0.616320 | ||||||||
\(345\) | 2.70284 | + | 10.3776i | 0.145516 | + | 0.558711i | ||||
\(346\) | 7.05272 | 0.379157 | ||||||||
\(347\) | −6.68252 | + | 0.477944i | −0.358737 | + | 0.0256574i | −0.249545 | − | 0.968363i | \(-0.580281\pi\) |
−0.109192 | + | 0.994021i | \(0.534826\pi\) | |||||||
\(348\) | 2.17049 | − | 9.97757i | 0.116350 | − | 0.534854i | ||||
\(349\) | −30.7162 | + | 4.41633i | −1.64420 | + | 0.236401i | −0.901361 | − | 0.433068i | \(-0.857431\pi\) |
−0.742841 | + | 0.669468i | \(0.766522\pi\) | |||||||
\(350\) | −1.67762 | − | 1.87935i | −0.0896727 | − | 0.100455i | ||||
\(351\) | 0.367480 | − | 2.55588i | 0.0196146 | − | 0.136423i | ||||
\(352\) | 1.88230 | − | 3.44718i | 0.100327 | − | 0.183735i | ||||
\(353\) | 4.45695 | − | 0.969549i | 0.237219 | − | 0.0516039i | −0.0923839 | − | 0.995723i | \(-0.529449\pi\) |
0.329603 | + | 0.944120i | \(0.393085\pi\) | |||||||
\(354\) | 6.16346 | + | 2.81476i | 0.327584 | + | 0.149603i | ||||
\(355\) | 0.539615 | − | 3.96020i | 0.0286398 | − | 0.210186i | ||||
\(356\) | −7.87655 | + | 6.82507i | −0.417456 | + | 0.361728i | ||||
\(357\) | 0.237197 | − | 3.31644i | 0.0125538 | − | 0.175525i | ||||
\(358\) | −21.9963 | + | 12.0109i | −1.16254 | + | 0.634795i | ||||
\(359\) | −1.40717 | + | 3.08128i | −0.0742679 | + | 0.162624i | −0.943124 | − | 0.332440i | \(-0.892128\pi\) |
0.868857 | + | 0.495064i | \(0.164855\pi\) | |||||||
\(360\) | 2.08926 | − | 0.796854i | 0.110114 | − | 0.0419979i | ||||
\(361\) | 12.7934 | − | 3.75648i | 0.673337 | − | 0.197709i | ||||
\(362\) | 6.53883 | + | 8.73486i | 0.343673 | + | 0.459094i | ||||
\(363\) | 4.14705 | + | 1.54677i | 0.217664 | + | 0.0811844i | ||||
\(364\) | 0.185151 | + | 1.28775i | 0.00970456 | + | 0.0674967i | ||||
\(365\) | 25.8754 | + | 1.65895i | 1.35438 | + | 0.0868336i | ||||
\(366\) | 0.404171 | + | 0.350216i | 0.0211263 | + | 0.0183061i | ||||
\(367\) | −12.0391 | + | 12.0391i | −0.628435 | + | 0.628435i | −0.947674 | − | 0.319239i | \(-0.896573\pi\) |
0.319239 | + | 0.947674i | \(0.396573\pi\) | |||||||
\(368\) | 4.72173 | − | 0.839786i | 0.246137 | − | 0.0437769i | ||||
\(369\) | 0.326448i | 0.0169942i | ||||||||
\(370\) | 15.0232 | + | 9.49903i | 0.781020 | + | 0.493831i | ||||
\(371\) | −2.67586 | + | 1.71967i | −0.138924 | + | 0.0892809i | ||||
\(372\) | −6.20739 | + | 8.29210i | −0.321838 | + | 0.429926i | ||||
\(373\) | −7.72059 | + | 20.6997i | −0.399757 | + | 1.07179i | 0.568686 | + | 0.822555i | \(0.307452\pi\) |
−0.968443 | + | 0.249235i | \(0.919821\pi\) | |||||||
\(374\) | 25.6551 | + | 3.68864i | 1.32659 | + | 0.190735i | ||||
\(375\) | 11.1668 | + | 0.550708i | 0.576649 | + | 0.0284384i | ||||
\(376\) | −1.78404 | − | 1.14653i | −0.0920048 | − | 0.0591279i | ||||
\(377\) | −24.7039 | + | 9.21407i | −1.27231 | + | 0.474549i | ||||
\(378\) | −0.241465 | − | 0.442209i | −0.0124196 | − | 0.0227448i | ||||
\(379\) | −9.25534 | − | 10.6812i | −0.475415 | − | 0.548658i | 0.466495 | − | 0.884524i | \(-0.345517\pi\) |
−0.941910 | + | 0.335866i | \(0.890971\pi\) | |||||||
\(380\) | 4.04832 | + | 3.45595i | 0.207675 | + | 0.177287i | ||||
\(381\) | 17.6342 | + | 5.17788i | 0.903429 | + | 0.265271i | ||||
\(382\) | −0.0703139 | − | 0.188519i | −0.00359757 | − | 0.00964547i | ||||
\(383\) | −0.215009 | − | 0.988380i | −0.0109864 | − | 0.0505039i | 0.971327 | − | 0.237746i | \(-0.0764087\pi\) |
−0.982314 | + | 0.187242i | \(0.940045\pi\) | |||||||
\(384\) | −0.281733 | − | 0.959493i | −0.0143771 | − | 0.0489639i | ||||
\(385\) | −3.15188 | − | 3.10573i | −0.160635 | − | 0.158283i | ||||
\(386\) | 6.68818 | + | 14.6451i | 0.340419 | + | 0.745414i | ||||
\(387\) | −9.15101 | − | 6.85036i | −0.465172 | − | 0.348223i | ||||
\(388\) | 5.06485 | + | 1.10179i | 0.257129 | + | 0.0559350i | ||||
\(389\) | 20.5266 | − | 23.6889i | 1.04074 | − | 1.20108i | 0.0615552 | − | 0.998104i | \(-0.480394\pi\) |
0.979184 | − | 0.202974i | \(-0.0650606\pi\) | |||||||
\(390\) | −4.64763 | − | 3.42599i | −0.235342 | − | 0.173482i | ||||
\(391\) | 16.0816 | + | 27.2581i | 0.813280 | + | 1.37850i | ||||
\(392\) | −4.77025 | − | 4.77025i | −0.240934 | − | 0.240934i | ||||
\(393\) | 0.551835 | + | 7.71566i | 0.0278364 | + | 0.389203i | ||||
\(394\) | 0.430920 | + | 0.670524i | 0.0217094 | + | 0.0337805i | ||||
\(395\) | −24.9252 | + | 7.51878i | −1.25412 | + | 0.378311i | ||||
\(396\) | 3.57268 | − | 1.63159i | 0.179534 | − | 0.0819904i | ||||
\(397\) | −14.0682 | + | 10.5313i | −0.706061 | + | 0.528551i | −0.890890 | − | 0.454220i | \(-0.849918\pi\) |
0.184828 | + | 0.982771i | \(0.440827\pi\) | |||||||
\(398\) | −9.86634 | − | 5.38743i | −0.494555 | − | 0.270048i | ||||
\(399\) | 0.648424 | − | 1.00897i | 0.0324618 | − | 0.0505115i | ||||
\(400\) | 0.638506 | − | 4.95906i | 0.0319253 | − | 0.247953i | ||||
\(401\) | −4.78588 | + | 16.2992i | −0.238996 | + | 0.813944i | 0.749410 | + | 0.662107i | \(0.230337\pi\) |
−0.988405 | + | 0.151838i | \(0.951481\pi\) | |||||||
\(402\) | 2.52534 | + | 0.180616i | 0.125953 | + | 0.00900831i | ||||
\(403\) | 26.6782 | + | 1.90806i | 1.32894 | + | 0.0950475i | ||||
\(404\) | 3.18209 | − | 10.8372i | 0.158315 | − | 0.539171i | ||||
\(405\) | 2.15008 | + | 0.614135i | 0.106838 | + | 0.0305166i | ||||
\(406\) | −2.78142 | + | 4.32797i | −0.138039 | + | 0.214794i | ||||
\(407\) | 27.4014 | + | 14.9623i | 1.35824 | + | 0.741655i | ||||
\(408\) | 5.28290 | − | 3.95473i | 0.261542 | − | 0.195788i | ||||
\(409\) | −3.21081 | + | 1.46633i | −0.158764 | + | 0.0725052i | −0.493212 | − | 0.869909i | \(-0.664177\pi\) |
0.334448 | + | 0.942414i | \(0.391450\pi\) | |||||||
\(410\) | 0.643233 | + | 0.345099i | 0.0317670 | + | 0.0170432i | ||||
\(411\) | 9.26730 | + | 14.4202i | 0.457122 | + | 0.711296i | ||||
\(412\) | −0.272344 | − | 3.80786i | −0.0134174 | − | 0.187600i | ||||
\(413\) | −2.41400 | − | 2.41400i | −0.118785 | − | 0.118785i | ||||
\(414\) | 4.28321 | + | 2.15735i | 0.210508 | + | 0.106028i | ||||
\(415\) | −24.0508 | + | 32.6269i | −1.18061 | + | 1.60159i | ||||
\(416\) | −1.69096 | + | 1.95147i | −0.0829060 | + | 0.0956787i | ||||
\(417\) | −13.1170 | − | 2.85342i | −0.642341 | − | 0.139733i | ||||
\(418\) | 7.48462 | + | 5.60291i | 0.366085 | + | 0.274048i | ||||
\(419\) | −10.5644 | − | 23.1329i | −0.516106 | − | 1.13011i | −0.970893 | − | 0.239514i | \(-0.923012\pi\) |
0.454787 | − | 0.890600i | \(-0.349715\pi\) | |||||||
\(420\) | −1.12659 | + | 0.00830802i | −0.0549719 | + | 0.000405390i | ||||
\(421\) | 7.14743 | + | 24.3419i | 0.348344 | + | 1.18635i | 0.928340 | + | 0.371732i | \(0.121236\pi\) |
−0.579996 | + | 0.814619i | \(0.696946\pi\) | |||||||
\(422\) | 1.74336 | + | 8.01411i | 0.0848656 | + | 0.390121i | ||||
\(423\) | −0.741106 | − | 1.98698i | −0.0360338 | − | 0.0966103i | ||||
\(424\) | −6.05740 | − | 1.77861i | −0.294173 | − | 0.0863770i | ||||
\(425\) | 32.1348 | − | 7.48850i | 1.55877 | − | 0.363246i | ||||
\(426\) | −1.17051 | − | 1.35084i | −0.0567115 | − | 0.0654486i | ||||
\(427\) | −0.129134 | − | 0.236491i | −0.00624923 | − | 0.0114446i | ||||
\(428\) | −2.34407 | + | 0.874293i | −0.113305 | + | 0.0422605i | ||||
\(429\) | −8.53177 | − | 5.48304i | −0.411918 | − | 0.264723i | ||||
\(430\) | −23.1718 | + | 10.7894i | −1.11744 | + | 0.520311i | ||||
\(431\) | 9.65270 | + | 1.38785i | 0.464954 | + | 0.0668503i | 0.370811 | − | 0.928708i | \(-0.379080\pi\) |
0.0941433 | + | 0.995559i | \(0.469989\pi\) | |||||||
\(432\) | 0.349464 | − | 0.936950i | 0.0168136 | − | 0.0450790i | ||||
\(433\) | −8.28854 | + | 11.0722i | −0.398322 | + | 0.532095i | −0.954200 | − | 0.299168i | \(-0.903291\pi\) |
0.555879 | + | 0.831263i | \(0.312382\pi\) | |||||||
\(434\) | 4.39036 | − | 2.82151i | 0.210744 | − | 0.135437i | ||||
\(435\) | −5.01775 | − | 22.2741i | −0.240583 | − | 1.06796i | ||||
\(436\) | − | 19.5584i | − | 0.936680i | ||||||
\(437\) | 0.379122 | + | 11.4099i | 0.0181358 | + | 0.545810i | ||||
\(438\) | 8.19933 | − | 8.19933i | 0.391779 | − | 0.391779i | ||||
\(439\) | 13.4087 | + | 11.6187i | 0.639961 | + | 0.554529i | 0.913248 | − | 0.407403i | \(-0.133566\pi\) |
−0.273288 | + | 0.961932i | \(0.588111\pi\) | |||||||
\(440\) | 0.561913 | − | 8.76441i | 0.0267882 | − | 0.417827i | ||||
\(441\) | −0.960077 | − | 6.67748i | −0.0457179 | − | 0.317975i | ||||
\(442\) | −15.9657 | − | 5.95491i | −0.759412 | − | 0.283246i | ||||
\(443\) | −14.5171 | − | 19.3926i | −0.689730 | − | 0.921371i | 0.309837 | − | 0.950790i | \(-0.399725\pi\) |
−0.999567 | + | 0.0294185i | \(0.990634\pi\) | |||||||
\(444\) | 7.62696 | − | 2.23948i | 0.361959 | − | 0.106281i | ||||
\(445\) | −9.52452 | + | 21.2695i | −0.451506 | + | 1.00827i | ||||
\(446\) | 1.23880 | − | 2.71260i | 0.0586590 | − | 0.128445i | ||||
\(447\) | −0.541127 | + | 0.295478i | −0.0255944 | + | 0.0139756i | ||||
\(448\) | −0.0359435 | + | 0.502556i | −0.00169817 | + | 0.0237435i | ||||
\(449\) | 11.6491 | − | 10.0940i | 0.549753 | − | 0.476364i | −0.335133 | − | 0.942171i | \(-0.608781\pi\) |
0.884886 | + | 0.465807i | \(0.154236\pi\) | |||||||
\(450\) | 3.48301 | − | 3.58729i | 0.164191 | − | 0.169107i | ||||
\(451\) | 1.16630 | + | 0.532629i | 0.0549187 | + | 0.0250805i | ||||
\(452\) | −7.54325 | + | 1.64093i | −0.354805 | + | 0.0771831i | ||||
\(453\) | 10.9040 | − | 19.9691i | 0.512313 | − | 0.938231i | ||||
\(454\) | 2.61054 | − | 18.1567i | 0.122519 | − | 0.852137i | ||||
\(455\) | 1.59079 | + | 2.43564i | 0.0745775 | + | 0.114185i | ||||
\(456\) | 2.35621 | − | 0.338772i | 0.110340 | − | 0.0158645i | ||||
\(457\) | 1.13021 | − | 5.19547i | 0.0528688 | − | 0.243034i | −0.943127 | − | 0.332432i | \(-0.892131\pi\) |
0.995996 | + | 0.0893983i | \(0.0284944\pi\) | |||||||
\(458\) | −10.1456 | + | 0.725625i | −0.474071 | + | 0.0339062i | ||||
\(459\) | 6.59915 | 0.308022 | ||||||||
\(460\) | 8.77875 | − | 6.15903i | 0.409311 | − | 0.287166i | ||||
\(461\) | 13.3867 | 0.623480 | 0.311740 | − | 0.950167i | \(-0.399088\pi\) | ||||
0.311740 | + | 0.950167i | \(0.399088\pi\) | |||||||
\(462\) | −1.97384 | + | 0.141172i | −0.0918315 | + | 0.00656792i | ||||
\(463\) | 4.69349 | − | 21.5756i | 0.218125 | − | 1.00270i | −0.729664 | − | 0.683806i | \(-0.760323\pi\) |
0.947789 | − | 0.318898i | \(-0.103313\pi\) | |||||||
\(464\) | −10.1070 | + | 1.45317i | −0.469205 | + | 0.0674615i | ||||
\(465\) | −4.75629 | + | 22.6678i | −0.220568 | + | 1.05120i | ||||
\(466\) | −0.281234 | + | 1.95603i | −0.0130279 | + | 0.0906112i | ||||
\(467\) | −3.21295 | + | 5.88407i | −0.148677 | + | 0.272282i | −0.941395 | − | 0.337307i | \(-0.890484\pi\) |
0.792717 | + | 0.609589i | \(0.208666\pi\) | |||||||
\(468\) | −2.52315 | + | 0.548879i | −0.116633 | + | 0.0253719i | ||||
\(469\) | −1.16034 | − | 0.529911i | −0.0535796 | − | 0.0244690i | ||||
\(470\) | −4.69859 | − | 0.640227i | −0.216730 | − | 0.0295315i | ||||
\(471\) | 7.92752 | − | 6.86924i | 0.365281 | − | 0.316518i | ||||
\(472\) | 0.483378 | − | 6.75851i | 0.0222493 | − | 0.311086i | ||||
\(473\) | −39.4048 | + | 21.5167i | −1.81184 | + | 0.989337i | ||||
\(474\) | −4.83667 | + | 10.5908i | −0.222156 | + | 0.486453i | ||||
\(475\) | 11.4683 | + | 3.18445i | 0.526202 | + | 0.146113i | ||||
\(476\) | −3.19023 | + | 0.936737i | −0.146224 | + | 0.0429353i | ||||
\(477\) | −3.78331 | − | 5.05391i | −0.173226 | − | 0.231403i | ||||
\(478\) | 27.5804 | + | 10.2870i | 1.26150 | + | 0.470515i | ||||
\(479\) | 3.47309 | + | 24.1559i | 0.158690 | + | 1.10371i | 0.901052 | + | 0.433712i | \(0.142796\pi\) |
−0.742362 | + | 0.669999i | \(0.766294\pi\) | |||||||
\(480\) | −1.47674 | − | 1.67906i | −0.0674034 | − | 0.0766384i | ||||
\(481\) | −15.5121 | − | 13.4413i | −0.707292 | − | 0.612872i | ||||
\(482\) | 10.8574 | − | 10.8574i | 0.494539 | − | 0.494539i | ||||
\(483\) | −1.64213 | − | 1.77258i | −0.0747196 | − | 0.0806554i | ||||
\(484\) | − | 4.42612i | − | 0.201187i | ||||||
\(485\) | 11.3069 | − | 2.54713i | 0.513419 | − | 0.115659i | ||||
\(486\) | 0.841254 | − | 0.540641i | 0.0381600 | − | 0.0245240i | ||||
\(487\) | −6.14007 | + | 8.20218i | −0.278233 | + | 0.371676i | −0.917789 | − | 0.397069i | \(-0.870027\pi\) |
0.639556 | + | 0.768745i | \(0.279118\pi\) | |||||||
\(488\) | 0.186892 | − | 0.501076i | 0.00846018 | − | 0.0226826i | ||||
\(489\) | −0.375582 | − | 0.0540005i | −0.0169844 | − | 0.00244199i | ||||
\(490\) | −14.1722 | − | 5.16724i | −0.640236 | − | 0.233432i | ||||
\(491\) | −8.30855 | − | 5.33958i | −0.374960 | − | 0.240972i | 0.339564 | − | 0.940583i | \(-0.389720\pi\) |
−0.714524 | + | 0.699611i | \(0.753357\pi\) | |||||||
\(492\) | 0.305866 | − | 0.114082i | 0.0137895 | − | 0.00514321i | ||||
\(493\) | −32.2935 | − | 59.1410i | −1.45442 | − | 2.66358i | ||||
\(494\) | −4.02523 | − | 4.64536i | −0.181104 | − | 0.209005i | ||||
\(495\) | 5.70215 | − | 6.67953i | 0.256293 | − | 0.300222i | ||||
\(496\) | 9.93854 | + | 2.91822i | 0.446254 | + | 0.131032i | ||||
\(497\) | 0.314718 | + | 0.843793i | 0.0141171 | + | 0.0378493i | ||||
\(498\) | 3.85319 | + | 17.7128i | 0.172666 | + | 0.793732i | ||||
\(499\) | −0.737556 | − | 2.51188i | −0.0330175 | − | 0.112447i | 0.941336 | − | 0.337472i | \(-0.109572\pi\) |
−0.974353 | + | 0.225025i | \(0.927754\pi\) | |||||||
\(500\) | −3.38640 | − | 10.6552i | −0.151444 | − | 0.476513i | ||||
\(501\) | 3.28382 | + | 7.19056i | 0.146710 | + | 0.321250i | ||||
\(502\) | 18.8967 | + | 14.1459i | 0.843399 | + | 0.631361i | ||||
\(503\) | −1.41058 | − | 0.306853i | −0.0628947 | − | 0.0136819i | 0.181008 | − | 0.983482i | \(-0.442064\pi\) |
−0.243903 | + | 0.969800i | \(0.578428\pi\) | |||||||
\(504\) | −0.329945 | + | 0.380777i | −0.0146969 | + | 0.0169611i | ||||
\(505\) | −3.77852 | − | 24.9715i | −0.168142 | − | 1.11122i | ||||
\(506\) | 14.6959 | − | 11.7826i | 0.653314 | − | 0.523802i | ||||
\(507\) | −4.47770 | − | 4.47770i | −0.198862 | − | 0.198862i | ||||
\(508\) | −1.31112 | − | 18.3319i | −0.0581716 | − | 0.813345i | ||||
\(509\) | −11.1343 | − | 17.3253i | −0.493518 | − | 0.767928i | 0.501759 | − | 0.865007i | \(-0.332686\pi\) |
−0.995277 | + | 0.0970791i | \(0.969050\pi\) | |||||||
\(510\) | 6.97618 | − | 13.0030i | 0.308910 | − | 0.575781i | ||||
\(511\) | −5.31436 | + | 2.42699i | −0.235094 | + | 0.107364i | ||||
\(512\) | −0.800541 | + | 0.599278i | −0.0353793 | + | 0.0264846i | ||||
\(513\) | 2.08926 | + | 1.14082i | 0.0922432 | + | 0.0503686i | ||||
\(514\) | −11.0049 | + | 17.1240i | −0.485406 | + | 0.755306i | ||||
\(515\) | −4.14619 | − | 7.46184i | −0.182703 | − | 0.328808i | ||||
\(516\) | −3.22049 | + | 10.9680i | −0.141774 | + | 0.482839i | ||||
\(517\) | −8.30803 | − | 0.594202i | −0.365387 | − | 0.0261330i | ||||
\(518\) | −3.99479 | − | 0.285713i | −0.175521 | − | 0.0125535i | ||||
\(519\) | 1.98698 | − | 6.76704i | 0.0872188 | − | 0.297040i | ||||
\(520\) | −1.58580 | + | 5.55186i | −0.0695418 | + | 0.243465i | ||||
\(521\) | −11.2368 | + | 17.4848i | −0.492293 | + | 0.766023i | −0.995152 | − | 0.0983452i | \(-0.968645\pi\) |
0.502859 | + | 0.864368i | \(0.332281\pi\) | |||||||
\(522\) | −8.96191 | − | 4.89357i | −0.392252 | − | 0.214186i | ||||
\(523\) | −11.3923 | + | 8.52816i | −0.498150 | + | 0.372911i | −0.818608 | − | 0.574352i | \(-0.805254\pi\) |
0.320458 | + | 0.947263i | \(0.396163\pi\) | |||||||
\(524\) | 7.03634 | − | 3.21339i | 0.307384 | − | 0.140377i | ||||
\(525\) | −2.27586 | + | 1.08020i | −0.0993267 | + | 0.0471436i | ||||
\(526\) | −6.80587 | − | 10.5901i | −0.296750 | − | 0.461752i | ||||
\(527\) | 4.87638 | + | 68.1807i | 0.212418 | + | 2.97000i | ||||
\(528\) | −2.77724 | − | 2.77724i | −0.120864 | − | 0.120864i | ||||
\(529\) | 22.4498 | + | 5.00063i | 0.976078 | + | 0.217419i | ||||
\(530\) | −13.9577 | + | 2.11198i | −0.606283 | + | 0.0917387i | ||||
\(531\) | 4.43719 | − | 5.12079i | 0.192558 | − | 0.222223i | ||||
\(532\) | −1.17195 | − | 0.254943i | −0.0508106 | − | 0.0110532i | ||||
\(533\) | −0.674811 | − | 0.505157i | −0.0292293 | − | 0.0218808i | ||||
\(534\) | 4.32952 | + | 9.48033i | 0.187357 | + | 0.410254i | ||||
\(535\) | −3.92643 | + | 3.98477i | −0.169754 | + | 0.172277i | ||||
\(536\) | −0.713288 | − | 2.42924i | −0.0308094 | − | 0.104927i | ||||
\(537\) | 5.32729 | + | 24.4892i | 0.229889 | + | 1.05678i | ||||
\(538\) | −2.47398 | − | 6.63301i | −0.106661 | − | 0.285969i | ||||
\(539\) | −25.4229 | − | 7.46485i | −1.09504 | − | 0.321534i | ||||
\(540\) | −0.175962 | − | 2.22913i | −0.00757221 | − | 0.0959266i | ||||
\(541\) | −4.94403 | − | 5.70571i | −0.212560 | − | 0.245308i | 0.639450 | − | 0.768833i | \(-0.279162\pi\) |
−0.852010 | + | 0.523525i | \(0.824617\pi\) | |||||||
\(542\) | 3.93490 | + | 7.20623i | 0.169018 | + | 0.309534i | ||||
\(543\) | 10.2232 | − | 3.81307i | 0.438721 | − | 0.163635i | ||||
\(544\) | −5.55156 | − | 3.56777i | −0.238021 | − | 0.152967i | ||||
\(545\) | −18.4606 | − | 39.6468i | −0.790767 | − | 1.69828i | ||||
\(546\) | 1.28775 | + | 0.185151i | 0.0551108 | + | 0.00792374i | ||||
\(547\) | 6.86713 | − | 18.4115i | 0.293617 | − | 0.787219i | −0.703454 | − | 0.710741i | \(-0.748360\pi\) |
0.997071 | − | 0.0764779i | \(-0.0243675\pi\) | |||||||
\(548\) | 10.2724 | − | 13.7223i | 0.438816 | − | 0.586189i | ||||
\(549\) | 0.449898 | − | 0.289132i | 0.0192012 | − | 0.0123398i | ||||
\(550\) | −7.13341 | − | 18.2966i | −0.304170 | − | 0.780172i | ||||
\(551\) | − | 24.3065i | − | 1.03549i | ||||||
\(552\) | 0.524497 | − | 4.76706i | 0.0223241 | − | 0.202900i | ||||
\(553\) | 4.14803 | − | 4.14803i | 0.176392 | − | 0.176392i | ||||
\(554\) | 13.3586 | + | 11.5753i | 0.567551 | + | 0.491786i | ||||
\(555\) | 13.3468 | − | 11.7385i | 0.566539 | − | 0.498271i | ||||
\(556\) | 1.91040 | + | 13.2871i | 0.0810189 | + | 0.563499i | ||||
\(557\) | 3.84475 | + | 1.43402i | 0.162907 | + | 0.0607613i | 0.429595 | − | 0.903022i | \(-0.358656\pi\) |
−0.266687 | + | 0.963783i | \(0.585929\pi\) | |||||||
\(558\) | 6.20739 | + | 8.29210i | 0.262780 | + | 0.351033i | ||||
\(559\) | 28.3212 | − | 8.31584i | 1.19786 | − | 0.351723i | ||||
\(560\) | 0.401487 | + | 1.05265i | 0.0169659 | + | 0.0444828i | ||||
\(561\) | 10.7671 | − | 23.5767i | 0.454587 | − | 0.995408i | ||||
\(562\) | −13.2312 | + | 7.22478i | −0.558124 | + | 0.304759i | ||||
\(563\) | −2.78336 | + | 38.9164i | −0.117305 | + | 1.64013i | 0.509152 | + | 0.860676i | \(0.329959\pi\) |
−0.626457 | + | 0.779456i | \(0.715496\pi\) | |||||||
\(564\) | −1.60271 | + | 1.38876i | −0.0674863 | + | 0.0584772i | ||||
\(565\) | −13.7421 | + | 10.4462i | −0.578133 | + | 0.439474i | ||||
\(566\) | −10.1463 | − | 4.63367i | −0.426481 | − | 0.194768i | ||||
\(567\) | −0.492325 | + | 0.107099i | −0.0206757 | + | 0.00449773i | ||||
\(568\) | −0.856620 | + | 1.56878i | −0.0359430 | + | 0.0658247i | ||||
\(569\) | −3.64580 | + | 25.3571i | −0.152840 | + | 1.06302i | 0.758590 | + | 0.651568i | \(0.225889\pi\) |
−0.911430 | + | 0.411456i | \(0.865020\pi\) | |||||||
\(570\) | 4.45651 | − | 2.91068i | 0.186663 | − | 0.121915i | ||||
\(571\) | −40.8318 | + | 5.87073i | −1.70876 | + | 0.245682i | −0.926237 | − | 0.376942i | \(-0.876976\pi\) |
−0.782521 | + | 0.622624i | \(0.786067\pi\) | |||||||
\(572\) | −2.15578 | + | 9.90996i | −0.0901377 | + | 0.414356i | ||||
\(573\) | −0.200692 | + | 0.0143538i | −0.00838404 | + | 0.000599638i | ||||
\(574\) | −0.164478 | −0.00686516 | ||||||||
\(575\) | 11.9820 | − | 20.7709i | 0.499685 | − | 0.866207i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | −16.3059 | + | 1.16622i | −0.678823 | + | 0.0485504i | −0.406494 | − | 0.913654i | \(-0.633249\pi\) |
−0.272330 | + | 0.962204i | \(0.587794\pi\) | |||||||
\(578\) | 5.64336 | − | 25.9421i | 0.234733 | − | 1.07905i | ||||
\(579\) | 15.9361 | − | 2.29127i | 0.662283 | − | 0.0952219i | ||||
\(580\) | −19.1162 | + | 12.4854i | −0.793758 | + | 0.518428i | ||||
\(581\) | 1.29978 | − | 9.04020i | 0.0539241 | − | 0.375050i | ||||
\(582\) | 2.48409 | − | 4.54928i | 0.102969 | − | 0.188574i | ||||
\(583\) | −24.2288 | + | 5.27066i | −1.00346 | + | 0.218288i | ||||
\(584\) | −10.5477 | − | 4.81699i | −0.436468 | − | 0.199328i | ||||
\(585\) | −4.59660 | + | 3.49416i | −0.190046 | + | 0.144466i | ||||
\(586\) | −17.4031 | + | 15.0799i | −0.718915 | + | 0.622943i | ||||
\(587\) | 2.18827 | − | 30.5961i | 0.0903198 | − | 1.26284i | −0.726995 | − | 0.686643i | \(-0.759083\pi\) |
0.817314 | − | 0.576192i | \(-0.195462\pi\) | |||||||
\(588\) | −5.92095 | + | 3.23308i | −0.244176 | + | 0.133330i | ||||
\(589\) | −10.2428 | + | 22.4287i | −0.422049 | + | 0.924159i | ||||
\(590\) | −5.39931 | − | 14.1564i | −0.222286 | − | 0.582809i | ||||
\(591\) | 0.764768 | − | 0.224556i | 0.0314583 | − | 0.00923700i | ||||
\(592\) | −4.76362 | − | 6.36346i | −0.195784 | − | 0.261536i | ||||
\(593\) | 24.8231 | + | 9.25854i | 1.01936 | + | 0.380203i | 0.802916 | − | 0.596092i | \(-0.203281\pi\) |
0.216446 | + | 0.976295i | \(0.430553\pi\) | |||||||
\(594\) | −0.558957 | − | 3.88763i | −0.0229343 | − | 0.159511i | ||||
\(595\) | −5.58274 | + | 4.91002i | −0.228870 | + | 0.201291i | ||||
\(596\) | 0.465952 | + | 0.403750i | 0.0190862 | + | 0.0165382i | ||||
\(597\) | −7.94887 | + | 7.94887i | −0.325326 | + | 0.325326i | ||||
\(598\) | −11.0875 | + | 5.51559i | −0.453401 | + | 0.225549i | ||||
\(599\) | − | 9.86975i | − | 0.403267i | −0.979461 | − | 0.201633i | \(-0.935375\pi\) | ||
0.979461 | − | 0.201633i | \(-0.0646250\pi\) | |||||||
\(600\) | −4.57830 | − | 2.00977i | −0.186908 | − | 0.0820486i | ||||
\(601\) | 34.2023 | − | 21.9805i | 1.39514 | − | 0.896602i | 0.395380 | − | 0.918518i | \(-0.370613\pi\) |
0.999760 | + | 0.0219160i | \(0.00697664\pi\) | |||||||
\(602\) | 3.45148 | − | 4.61064i | 0.140672 | − | 0.187916i | ||||
\(603\) | 0.884771 | − | 2.37216i | 0.0360306 | − | 0.0966019i | ||||
\(604\) | −22.5206 | − | 3.23797i | −0.916350 | − | 0.131751i | ||||
\(605\) | −4.17768 | − | 8.97216i | −0.169847 | − | 0.364770i | ||||
\(606\) | −9.50172 | − | 6.10639i | −0.385981 | − | 0.248055i | ||||
\(607\) | 27.7676 | − | 10.3568i | 1.12705 | − | 0.420369i | 0.284336 | − | 0.958725i | \(-0.408227\pi\) |
0.842718 | + | 0.538355i | \(0.180954\pi\) | |||||||
\(608\) | −1.14082 | − | 2.08926i | −0.0462665 | − | 0.0847308i | ||||
\(609\) | 3.36904 | + | 3.88808i | 0.136520 | + | 0.157553i | ||||
\(610\) | −0.0941037 | − | 1.19213i | −0.00381015 | − | 0.0482679i | ||||
\(611\) | 5.25416 | + | 1.54276i | 0.212560 | + | 0.0624134i | ||||
\(612\) | −2.30617 | − | 6.18308i | −0.0932213 | − | 0.249936i | ||||
\(613\) | 10.0744 | + | 46.3111i | 0.406900 | + | 1.87049i | 0.486532 | + | 0.873663i | \(0.338262\pi\) |
−0.0796323 | + | 0.996824i | \(0.525375\pi\) | |||||||
\(614\) | −0.552895 | − | 1.88299i | −0.0223130 | − | 0.0759912i | ||||
\(615\) | 0.512340 | − | 0.519952i | 0.0206595 | − | 0.0209665i | ||||
\(616\) | 0.822059 | + | 1.80006i | 0.0331217 | + | 0.0725264i | ||||
\(617\) | 9.76068 | + | 7.30676i | 0.392950 | + | 0.294159i | 0.777424 | − | 0.628977i | \(-0.216526\pi\) |
−0.384474 | + | 0.923136i | \(0.625617\pi\) | |||||||
\(618\) | −3.73035 | − | 0.811487i | −0.150057 | − | 0.0326428i | ||||
\(619\) | −6.25941 | + | 7.22375i | −0.251587 | + | 0.290347i | −0.867469 | − | 0.497492i | \(-0.834254\pi\) |
0.615882 | + | 0.787839i | \(0.288800\pi\) | |||||||
\(620\) | 22.9008 | − | 3.46519i | 0.919718 | − | 0.139165i | ||||
\(621\) | 3.27668 | − | 3.50191i | 0.131489 | − | 0.140527i | ||||
\(622\) | 6.30067 | + | 6.30067i | 0.252634 | + | 0.252634i | ||||
\(623\) | −0.374609 | − | 5.23772i | −0.0150084 | − | 0.209845i | ||||
\(624\) | 1.39602 | + | 2.17225i | 0.0558857 | + | 0.0869598i | ||||
\(625\) | −16.9216 | − | 18.4027i | −0.676865 | − | 0.736107i | ||||
\(626\) | −6.81276 | + | 3.11128i | −0.272293 | + | 0.124352i | ||||
\(627\) | 7.48462 | − | 5.60291i | 0.298907 | − | 0.223759i | ||||
\(628\) | −9.20651 | − | 5.02714i | −0.367380 | − | 0.200605i | ||||
\(629\) | 28.3600 | − | 44.1291i | 1.13079 | − | 1.75954i | ||||
\(630\) | −0.309425 | + | 1.08329i | −0.0123278 | + | 0.0431595i | ||||
\(631\) | 3.62546 | − | 12.3472i | 0.144327 | − | 0.491534i | −0.855320 | − | 0.518101i | \(-0.826639\pi\) |
0.999647 | + | 0.0265666i | \(0.00845741\pi\) | |||||||
\(632\) | 11.6133 | + | 0.830601i | 0.461953 | + | 0.0330395i | ||||
\(633\) | 8.18065 | + | 0.585091i | 0.325152 | + | 0.0232553i | ||||
\(634\) | −0.281341 | + | 0.958160i | −0.0111735 | + | 0.0380534i | ||||
\(635\) | −19.9607 | − | 35.9229i | −0.792115 | − | 1.42556i | ||||
\(636\) | −3.41313 | + | 5.31094i | −0.135339 | + | 0.210592i | ||||
\(637\) | 15.2889 | + | 8.34835i | 0.605767 | + | 0.330774i | ||||
\(638\) | −32.1053 | + | 24.0337i | −1.27106 | + | 0.951505i | ||||
\(639\) | −1.62590 | + | 0.742522i | −0.0643195 | + | 0.0293737i | ||||
\(640\) | −1.05713 | + | 1.97040i | −0.0417868 | + | 0.0778869i | ||||
\(641\) | −9.94972 | − | 15.4821i | −0.392990 | − | 0.611505i | 0.587229 | − | 0.809421i | \(-0.300219\pi\) |
−0.980219 | + | 0.197916i | \(0.936583\pi\) | |||||||
\(642\) | 0.178477 | + | 2.49544i | 0.00704393 | + | 0.0984870i | ||||
\(643\) | 3.22687 | + | 3.22687i | 0.127255 | + | 0.127255i | 0.767866 | − | 0.640611i | \(-0.221319\pi\) |
−0.640611 | + | 0.767866i | \(0.721319\pi\) | |||||||
\(644\) | −1.08696 | + | 2.15805i | −0.0428321 | + | 0.0850391i | ||||
\(645\) | 3.82412 | + | 25.2729i | 0.150575 | + | 0.995118i | ||||
\(646\) | 10.2871 | − | 11.8720i | 0.404742 | − | 0.467097i | ||||
\(647\) | −3.52173 | − | 0.766106i | −0.138454 | − | 0.0301187i | 0.142804 | − | 0.989751i | \(-0.454388\pi\) |
−0.281258 | + | 0.959632i | \(0.590752\pi\) | |||||||
\(648\) | −0.800541 | − | 0.599278i | −0.0314482 | − | 0.0235419i | ||||
\(649\) | −11.0553 | − | 24.2077i | −0.433958 | − | 0.950234i | ||||
\(650\) | 2.02567 | + | 12.7509i | 0.0794535 | + | 0.500132i | ||||
\(651\) | −1.47031 | − | 5.00743i | −0.0576262 | − | 0.196257i | ||||
\(652\) | 0.0806566 | + | 0.370772i | 0.00315875 | + | 0.0145206i | ||||
\(653\) | −14.5331 | − | 38.9649i | −0.568726 | − | 1.52481i | −0.828983 | − | 0.559274i | \(-0.811080\pi\) |
0.260257 | − | 0.965539i | \(-0.416193\pi\) | |||||||
\(654\) | −18.7662 | − | 5.51025i | −0.733816 | − | 0.215468i | ||||
\(655\) | 11.2303 | − | 13.1552i | 0.438804 | − | 0.514017i | ||||
\(656\) | −0.213778 | − | 0.246713i | −0.00834663 | − | 0.00963253i | ||||
\(657\) | −5.55718 | − | 10.1772i | −0.216806 | − | 0.397051i | ||||
\(658\) | 1.00112 | − | 0.373398i | 0.0390277 | − | 0.0145566i | ||||
\(659\) | 5.46207 | + | 3.51026i | 0.212772 | + | 0.136740i | 0.642686 | − | 0.766129i | \(-0.277820\pi\) |
−0.429914 | + | 0.902870i | \(0.641456\pi\) | |||||||
\(660\) | −8.25108 | − | 3.00837i | −0.321173 | − | 0.117101i | ||||
\(661\) | 5.48595 | + | 0.788760i | 0.213379 | + | 0.0306792i | 0.248175 | − | 0.968715i | \(-0.420169\pi\) |
−0.0347964 | + | 0.999394i | \(0.511078\pi\) | |||||||
\(662\) | −7.42369 | + | 19.9037i | −0.288530 | + | 0.773578i | ||||
\(663\) | −10.2118 | + | 13.6413i | −0.396592 | + | 0.529784i | ||||
\(664\) | 15.2495 | − | 9.80026i | 0.591795 | − | 0.380324i | ||||
\(665\) | −2.61629 | + | 0.589378i | −0.101455 | + | 0.0228551i | ||||
\(666\) | − | 7.94894i | − | 0.308015i | ||||||
\(667\) | −47.4185 | − | 12.2284i | −1.83605 | − | 0.473486i | ||||
\(668\) | 5.58961 | − | 5.58961i | 0.216269 | − | 0.216269i | ||||
\(669\) | −2.25371 | − | 1.95285i | −0.0871334 | − | 0.0755015i | ||||
\(670\) | −3.73879 | − | 4.25104i | −0.144442 | − | 0.164232i | ||||
\(671\) | −0.298927 | − | 2.07909i | −0.0115400 | − | 0.0802622i | ||||
\(672\) | 0.472072 | + | 0.176074i | 0.0182106 | + | 0.00679220i | ||||
\(673\) | −14.7622 | − | 19.7200i | −0.569042 | − | 0.760151i | 0.420042 | − | 0.907505i | \(-0.362015\pi\) |
−0.989084 | + | 0.147353i | \(0.952925\pi\) | |||||||
\(674\) | −3.22546 | + | 0.947079i | −0.124240 | + | 0.0364801i | ||||
\(675\) | −2.46071 | − | 4.35258i | −0.0947126 | − | 0.167531i | ||||
\(676\) | −2.63059 | + | 5.76018i | −0.101176 | + | 0.221545i | ||||
\(677\) | 20.9208 | − | 11.4236i | 0.804050 | − | 0.439044i | −0.0239910 | − | 0.999712i | \(-0.507637\pi\) |
0.828041 | + | 0.560668i | \(0.189455\pi\) | |||||||
\(678\) | −0.550715 | + | 7.70000i | −0.0211501 | + | 0.295717i | ||||
\(679\) | −1.97368 | + | 1.71020i | −0.0757430 | + | 0.0656316i | ||||
\(680\) | −14.6211 | − | 1.99225i | −0.560692 | − | 0.0763995i | ||||
\(681\) | −16.6858 | − | 7.62014i | −0.639400 | − | 0.292004i | ||||
\(682\) | 39.7529 | − | 8.64772i | 1.52222 | − | 0.331138i | ||||
\(683\) | −12.5203 | + | 22.9291i | −0.479074 | + | 0.877359i | 0.520647 | + | 0.853772i | \(0.325691\pi\) |
−0.999722 | + | 0.0235875i | \(0.992491\pi\) | |||||||
\(684\) | 0.338772 | − | 2.35621i | 0.0129533 | − | 0.0900920i | ||||
\(685\) | 7.87104 | − | 37.5123i | 0.300737 | − | 1.43327i | ||||
\(686\) | 6.85536 | − | 0.985652i | 0.261739 | − | 0.0376324i | ||||
\(687\) | −2.16210 | + | 9.93903i | −0.0824894 | + | 0.379198i | ||||
\(688\) | 11.4019 | − | 0.815480i | 0.434693 | − | 0.0310899i | ||||
\(689\) | 16.3015 | 0.621038 | ||||||||
\(690\) | −3.43628 | − | 10.1583i | −0.130817 | − | 0.386722i | ||||
\(691\) | 1.08905 | 0.0414295 | 0.0207148 | − | 0.999785i | \(-0.493406\pi\) | ||||
0.0207148 | + | 0.999785i | \(0.493406\pi\) | |||||||
\(692\) | −7.03476 | + | 0.503136i | −0.267421 | + | 0.0191263i | ||||
\(693\) | −0.420642 | + | 1.93366i | −0.0159789 | + | 0.0734537i | ||||
\(694\) | 6.63140 | − | 0.953452i | 0.251725 | − | 0.0361925i | ||||
\(695\) | 16.4139 | + | 25.1311i | 0.622613 | + | 0.953275i | ||||
\(696\) | −1.45317 | + | 10.1070i | −0.0550821 | + | 0.383104i | ||||
\(697\) | 1.03244 | − | 1.89077i | 0.0391064 | − | 0.0716180i | ||||
\(698\) | 30.3229 | − | 6.59634i | 1.14774 | − | 0.249675i | ||||
\(699\) | 1.79756 | + | 0.820918i | 0.0679900 | + | 0.0310500i | ||||
\(700\) | 1.80742 | + | 1.75488i | 0.0683141 | + | 0.0663281i | ||||
\(701\) | 2.53036 | − | 2.19257i | 0.0955702 | − | 0.0828121i | −0.605765 | − | 0.795643i | \(-0.707133\pi\) |
0.701336 | + | 0.712831i | \(0.252587\pi\) | |||||||
\(702\) | −0.184210 | + | 2.57559i | −0.00695254 | + | 0.0972092i | ||||
\(703\) | 16.6074 | − | 9.06835i | 0.626361 | − | 0.342019i | ||||
\(704\) | −1.63159 | + | 3.57268i | −0.0614928 | + | 0.134650i | ||||
\(705\) | −1.93804 | + | 4.32789i | −0.0729908 | + | 0.162998i | ||||
\(706\) | −4.37642 | + | 1.28503i | −0.164709 | + | 0.0483629i | ||||
\(707\) | 3.41033 | + | 4.55566i | 0.128259 | + | 0.171333i | ||||
\(708\) | −6.34856 | − | 2.36789i | −0.238594 | − | 0.0889908i | ||||
\(709\) | 0.502560 | + | 3.49538i | 0.0188740 | + | 0.131272i | 0.997080 | − | 0.0763657i | \(-0.0243316\pi\) |
−0.978206 | + | 0.207638i | \(0.933423\pi\) | |||||||
\(710\) | −0.255722 | + | 3.98861i | −0.00959708 | + | 0.149690i | ||||
\(711\) | 8.79918 | + | 7.62454i | 0.329995 | + | 0.285942i | ||||
\(712\) | 7.36958 | − | 7.36958i | 0.276187 | − | 0.276187i | ||||
\(713\) | 38.6021 | + | 31.2660i | 1.44566 | + | 1.17092i | ||||
\(714\) | 3.32492i | 0.124432i | ||||||||
\(715\) | 4.98375 | + | 22.1232i | 0.186382 | + | 0.827361i | ||||
\(716\) | 21.0834 | − | 13.5495i | 0.787924 | − | 0.506368i | ||||
\(717\) | 17.6406 | − | 23.5650i | 0.658799 | − | 0.880052i | ||||
\(718\) | 1.18377 | − | 3.17382i | 0.0441780 | − | 0.118446i | ||||
\(719\) | −6.55599 | − | 0.942609i | −0.244497 | − | 0.0351534i | 0.0189767 | − | 0.999820i | \(-0.493959\pi\) |
−0.263474 | + | 0.964667i | \(0.584868\pi\) | |||||||
\(720\) | −2.02709 | + | 0.943870i | −0.0755453 | + | 0.0351760i | ||||
\(721\) | 1.61811 | + | 1.03990i | 0.0602616 | + | 0.0387278i | ||||
\(722\) | −12.4928 | + | 4.65958i | −0.464934 | + | 0.173412i | ||||
\(723\) | −7.35869 | − | 13.4764i | −0.273673 | − | 0.501194i | ||||
\(724\) | −7.14531 | − | 8.24613i | −0.265553 | − | 0.306465i | ||||
\(725\) | −26.9658 | + | 43.3523i | −1.00148 | + | 1.61006i | ||||
\(726\) | −4.24683 | − | 1.24698i | −0.157615 | − | 0.0462798i | ||||
\(727\) | 17.3679 | + | 46.5653i | 0.644141 | + | 1.72701i | 0.685711 | + | 0.727874i | \(0.259492\pi\) |
−0.0415691 | + | 0.999136i | \(0.513236\pi\) | |||||||
\(728\) | −0.276547 | − | 1.27127i | −0.0102495 | − | 0.0471162i | ||||
\(729\) | −0.281733 | − | 0.959493i | −0.0104345 | − | 0.0355368i | ||||
\(730\) | −25.9278 | + | 0.191205i | −0.959633 | + | 0.00707680i | ||||
\(731\) | 31.3369 | + | 68.6182i | 1.15904 | + | 2.53794i | ||||
\(732\) | −0.428125 | − | 0.320491i | −0.0158240 | − | 0.0118457i | ||||
\(733\) | 29.5043 | + | 6.41827i | 1.08977 | + | 0.237064i | 0.721332 | − | 0.692590i | \(-0.243530\pi\) |
0.368434 | + | 0.929654i | \(0.379894\pi\) | |||||||
\(734\) | 11.1495 | − | 12.8673i | 0.411537 | − | 0.474939i | ||||
\(735\) | −8.95071 | + | 12.1424i | −0.330152 | + | 0.447878i | ||||
\(736\) | −4.64979 | + | 1.17449i | −0.171394 | + | 0.0432923i | ||||
\(737\) | −7.03139 | − | 7.03139i | −0.259005 | − | 0.259005i | ||||
\(738\) | −0.0232886 | − | 0.325617i | −0.000857263 | − | 0.0119861i | ||||
\(739\) | −0.182169 | − | 0.283460i | −0.00670119 | − | 0.0104273i | 0.837887 | − | 0.545844i | \(-0.183791\pi\) |
−0.844588 | + | 0.535417i | \(0.820155\pi\) | |||||||
\(740\) | −15.6626 | − | 8.40308i | −0.575768 | − | 0.308903i | ||||
\(741\) | −5.59123 | + | 2.55343i | −0.205399 | + | 0.0938025i | ||||
\(742\) | 2.54636 | − | 1.90618i | 0.0934799 | − | 0.0699782i | ||||
\(743\) | −33.3883 | − | 18.2314i | −1.22490 | − | 0.668844i | −0.269168 | − | 0.963093i | \(-0.586749\pi\) |
−0.955729 | + | 0.294249i | \(0.904930\pi\) | |||||||
\(744\) | 5.60002 | − | 8.71381i | 0.205307 | − | 0.319464i | ||||
\(745\) | 1.32562 | + | 0.378641i | 0.0485668 | + | 0.0138723i | ||||
\(746\) | 6.22422 | − | 21.1977i | 0.227885 | − | 0.776105i | ||||
\(747\) | 18.0809 | + | 1.29317i | 0.661546 | + | 0.0473147i | ||||
\(748\) | −25.8529 | − | 1.84903i | −0.945274 | − | 0.0676074i | ||||
\(749\) | 0.355127 | − | 1.20945i | 0.0129761 | − | 0.0441924i | ||||
\(750\) | −11.1776 | + | 0.247323i | −0.408148 | + | 0.00903097i | ||||
\(751\) | 3.87336 | − | 6.02707i | 0.141341 | − | 0.219931i | −0.763365 | − | 0.645967i | \(-0.776454\pi\) |
0.904706 | + | 0.426037i | \(0.140091\pi\) | |||||||
\(752\) | 1.86129 | + | 1.01634i | 0.0678741 | + | 0.0370621i | ||||
\(753\) | 18.8967 | − | 14.1459i | 0.688632 | − | 0.515504i | ||||
\(754\) | 23.9836 | − | 10.9529i | 0.873432 | − | 0.398883i | ||||
\(755\) | −48.7076 | + | 14.6928i | −1.77265 | + | 0.534727i | ||||
\(756\) | 0.272396 | + | 0.423857i | 0.00990696 | + | 0.0154155i | ||||
\(757\) | −1.21675 | − | 17.0124i | −0.0442236 | − | 0.618327i | −0.970441 | − | 0.241337i | \(-0.922414\pi\) |
0.926218 | − | 0.376989i | \(-0.123041\pi\) | |||||||
\(758\) | 9.99375 | + | 9.99375i | 0.362989 | + | 0.362989i | ||||
\(759\) | −7.16502 | − | 17.4202i | −0.260074 | − | 0.632313i | ||||
\(760\) | −4.28455 | − | 3.15834i | −0.155417 | − | 0.114565i | ||||
\(761\) | −29.8975 | + | 34.5035i | −1.08378 | + | 1.25075i | −0.117553 | + | 0.993067i | \(0.537505\pi\) |
−0.966229 | + | 0.257685i | \(0.917040\pi\) | |||||||
\(762\) | −17.9587 | − | 3.90667i | −0.650575 | − | 0.141524i | ||||
\(763\) | 7.88879 | + | 5.90547i | 0.285593 | + | 0.213793i | ||||
\(764\) | 0.0835836 | + | 0.183022i | 0.00302395 | + | 0.00662152i | ||||
\(765\) | −10.5108 | − | 10.3570i | −0.380020 | − | 0.374456i | ||||
\(766\) | 0.284971 | + | 0.970523i | 0.0102964 | + | 0.0350664i | ||||
\(767\) | 3.71908 | + | 17.0963i | 0.134288 | + | 0.617313i | ||||
\(768\) | 0.349464 | + | 0.936950i | 0.0126102 | + | 0.0338093i | ||||
\(769\) | −1.46895 | − | 0.431323i | −0.0529717 | − | 0.0155539i | 0.255139 | − | 0.966904i | \(-0.417879\pi\) |
−0.308111 | + | 0.951350i | \(0.599697\pi\) | |||||||
\(770\) | 3.36541 | + | 2.87297i | 0.121281 | + | 0.103535i | ||||
\(771\) | 13.3299 | + | 15.3835i | 0.480064 | + | 0.554024i | ||||
\(772\) | −7.71591 | − | 14.1306i | −0.277702 | − | 0.508572i | ||||
\(773\) | 19.4003 | − | 7.23594i | 0.697781 | − | 0.260259i | 0.0245579 | − | 0.999698i | \(-0.492182\pi\) |
0.673223 | + | 0.739440i | \(0.264909\pi\) | |||||||
\(774\) | 9.61639 | + | 6.18008i | 0.345654 | + | 0.222138i | ||||
\(775\) | 43.1513 | − | 28.6396i | 1.55004 | − | 1.02877i | ||||
\(776\) | −5.13055 | − | 0.737661i | −0.184176 | − | 0.0264805i | ||||
\(777\) | −1.39960 | + | 3.75248i | −0.0502104 | + | 0.134619i | ||||
\(778\) | −18.7843 | + | 25.0929i | −0.673451 | + | 0.899626i | ||||
\(779\) | 0.653731 | − | 0.420127i | 0.0234223 | − | 0.0150526i | ||||
\(780\) | 4.88020 | + | 3.08570i | 0.174739 | + | 0.110486i | ||||
\(781\) | 7.02030i | 0.251206i | ||||||||
\(782\) | −17.9852 | − | 26.0414i | −0.643148 | − | 0.931240i | ||||
\(783\) | −7.22021 | + | 7.22021i | −0.258029 | + | 0.258029i | ||||
\(784\) | 5.09840 | + | 4.41779i | 0.182086 | + | 0.157778i | ||||
\(785\) | −23.4074 | − | 1.50072i | −0.835447 | − | 0.0535631i | ||||
\(786\) | −1.10086 | − | 7.65663i | −0.0392663 | − | 0.273103i | ||||
\(787\) | 3.23427 | + | 1.20632i | 0.115289 | + | 0.0430007i | 0.406447 | − | 0.913674i | \(-0.366768\pi\) |
−0.291157 | + | 0.956675i | \(0.594040\pi\) | |||||||
\(788\) | −0.477657 | − | 0.638075i | −0.0170158 | − | 0.0227305i | ||||
\(789\) | −12.0786 | + | 3.54660i | −0.430010 | + | 0.126262i | ||||
\(790\) | 24.3253 | − | 9.27776i | 0.865454 | − | 0.330088i | ||||
\(791\) | 1.61575 | − | 3.53799i | 0.0574494 | − | 0.125797i | ||||
\(792\) | −3.44718 | + | 1.88230i | −0.122490 | + | 0.0668847i | ||||
\(793\) | −0.0985143 | + | 1.37741i | −0.00349834 | + | 0.0489132i | ||||
\(794\) | 13.2810 | − | 11.5081i | 0.471326 | − | 0.408406i | ||||
\(795\) | −1.90590 | + | 13.9873i | −0.0675954 | + | 0.496079i | ||||
\(796\) | 10.2255 | + | 4.66985i | 0.362435 | + | 0.165518i | ||||
\(797\) | 43.7223 | − | 9.51120i | 1.54872 | − | 0.336904i | 0.644716 | − | 0.764422i | \(-0.276976\pi\) |
0.904007 | + | 0.427518i | \(0.140612\pi\) | |||||||
\(798\) | −0.574793 | + | 1.05265i | −0.0203474 | + | 0.0372635i | ||||
\(799\) | −1.99166 | + | 13.8523i | −0.0704600 | + | 0.490060i | ||||
\(800\) | −0.283104 | + | 4.99198i | −0.0100092 | + | 0.176493i | ||||
\(801\) | 10.3161 | − | 1.48323i | 0.364501 | − | 0.0524073i | ||||
\(802\) | 3.61092 | − | 16.5991i | 0.127506 | − | 0.586135i | ||||
\(803\) | −45.4270 | + | 3.24900i | −1.60308 | + | 0.114655i | ||||
\(804\) | −2.53179 | −0.0892894 | ||||||||
\(805\) | −0.166444 | + | 5.40051i | −0.00586638 | + | 0.190343i | ||||
\(806\) | −26.7464 | −0.942101 | ||||||||
\(807\) | −7.06133 | + | 0.505036i | −0.248570 | + | 0.0177781i | ||||
\(808\) | −2.40087 | + | 11.0366i | −0.0844622 | + | 0.388266i | ||||
\(809\) | −18.3683 | + | 2.64096i | −0.645794 | + | 0.0928512i | −0.457427 | − | 0.889247i | \(-0.651229\pi\) |
−0.188368 | + | 0.982099i | \(0.560320\pi\) | |||||||
\(810\) | −2.18841 | − | 0.459185i | −0.0768930 | − | 0.0161341i | ||||
\(811\) | 3.13429 | − | 21.7995i | 0.110060 | − | 0.765484i | −0.857798 | − | 0.513987i | \(-0.828168\pi\) |
0.967858 | − | 0.251497i | \(-0.0809229\pi\) | |||||||
\(812\) | 2.46558 | − | 4.51537i | 0.0865248 | − | 0.158458i | ||||
\(813\) | 8.02292 | − | 1.74528i | 0.281376 | − | 0.0612096i | ||||
\(814\) | −28.3990 | − | 12.9694i | −0.995385 | − | 0.454577i | ||||
\(815\) | 0.513459 | + | 0.675461i | 0.0179857 | + | 0.0236604i | ||||
\(816\) | −4.98731 | + | 4.32153i | −0.174591 | + | 0.151284i | ||||
\(817\) | −1.94120 | + | 27.1416i | −0.0679141 | + | 0.949563i | ||||
\(818\) | 3.09802 | − | 1.69165i | 0.108320 | − | 0.0591471i | ||||
\(819\) | 0.540454 | − | 1.18343i | 0.0188850 | − | 0.0413523i | ||||
\(820\) | −0.666214 | − | 0.298332i | −0.0232652 | − | 0.0104182i | ||||
\(821\) | −4.46053 | + | 1.30973i | −0.155673 | + | 0.0457099i | −0.358641 | − | 0.933476i | \(-0.616760\pi\) |
0.202967 | + | 0.979186i | \(0.434941\pi\) | |||||||
\(822\) | −10.2724 | − | 13.7223i | −0.358291 | − | 0.478621i | ||||
\(823\) | −8.35070 | − | 3.11465i | −0.291087 | − | 0.108570i | 0.199679 | − | 0.979861i | \(-0.436010\pi\) |
−0.490766 | + | 0.871292i | \(0.663283\pi\) | |||||||
\(824\) | 0.543300 | + | 3.77873i | 0.0189267 | + | 0.131638i | ||||
\(825\) | −19.5652 | + | 1.68970i | −0.681174 | + | 0.0588277i | ||||
\(826\) | 2.58006 | + | 2.23563i | 0.0897717 | + | 0.0777876i | ||||
\(827\) | −4.04976 | + | 4.04976i | −0.140824 | + | 0.140824i | −0.774004 | − | 0.633180i | \(-0.781749\pi\) |
0.633180 | + | 0.774004i | \(0.281749\pi\) | |||||||
\(828\) | −4.42620 | − | 1.84629i | −0.153821 | − | 0.0641630i | ||||
\(829\) | 32.1158i | 1.11543i | 0.830033 | + | 0.557715i | \(0.188322\pi\) | ||||
−0.830033 | + | 0.557715i | \(0.811678\pi\) | |||||||
\(830\) | 21.6620 | − | 34.2596i | 0.751899 | − | 1.18917i | ||||
\(831\) | 14.8699 | − | 9.55633i | 0.515832 | − | 0.331505i | ||||
\(832\) | 1.54743 | − | 2.06713i | 0.0536476 | − | 0.0716648i | ||||
\(833\) | −15.5577 | + | 41.7119i | −0.539044 | + | 1.44523i | ||||
\(834\) | 13.2871 | + | 1.91040i | 0.460095 | + | 0.0661517i | ||||
\(835\) | 6.05480 | − | 16.6065i | 0.209535 | − | 0.574693i | ||||
\(836\) | −7.86525 | − | 5.05469i | −0.272026 | − | 0.174820i | ||||
\(837\) | 9.70504 | − | 3.61979i | 0.335455 | − | 0.125118i | ||||
\(838\) | 12.1878 | + | 22.3203i | 0.421020 | + | 0.771041i | ||||
\(839\) | 22.7356 | + | 26.2383i | 0.784921 | + | 0.905847i | 0.997454 | − | 0.0713070i | \(-0.0227170\pi\) |
−0.212534 | + | 0.977154i | \(0.568172\pi\) | |||||||
\(840\) | 1.12313 | − | 0.0886568i | 0.0387515 | − | 0.00305895i | ||||
\(841\) | 72.2143 | + | 21.2040i | 2.49015 | + | 0.731173i | ||||
\(842\) | −8.86575 | − | 23.7700i | −0.305534 | − | 0.819168i | ||||
\(843\) | 3.20447 | + | 14.7307i | 0.110368 | + | 0.507352i | ||||
\(844\) | −2.31064 | − | 7.86932i | −0.0795356 | − | 0.270873i | ||||
\(845\) | 0.104418 | + | 14.1594i | 0.00359209 | + | 0.487097i | ||||
\(846\) | 0.880967 | + | 1.92905i | 0.0302883 | + | 0.0663221i | ||||
\(847\) | 1.78525 | + | 1.33642i | 0.0613419 | + | 0.0459200i | ||||
\(848\) | 6.16885 | + | 1.34195i | 0.211839 | + | 0.0460828i | ||||
\(849\) | −7.30452 | + | 8.42986i | −0.250690 | + | 0.289312i | ||||
\(850\) | −31.5187 | + | 9.76189i | −1.08108 | + | 0.334830i | ||||
\(851\) | −9.33596 | − | 36.9609i | −0.320033 | − | 1.26700i | ||||
\(852\) | 1.26390 | + | 1.26390i | 0.0433004 | + | 0.0433004i | ||||
\(853\) | 2.81148 | + | 39.3096i | 0.0962631 | + | 1.34593i | 0.784356 | + | 0.620311i | \(0.212994\pi\) |
−0.688093 | + | 0.725623i | \(0.741552\pi\) | |||||||
\(854\) | 0.145676 | + | 0.226676i | 0.00498493 | + | 0.00775671i | ||||
\(855\) | −1.53724 | − | 5.09602i | −0.0525724 | − | 0.174280i | ||||
\(856\) | 2.27573 | − | 1.03929i | 0.0777827 | − | 0.0355222i | ||||
\(857\) | 27.0372 | − | 20.2398i | 0.923575 | − | 0.691379i | −0.0277353 | − | 0.999615i | \(-0.508830\pi\) |
0.951310 | + | 0.308236i | \(0.0997386\pi\) | |||||||
\(858\) | 8.90119 | + | 4.86042i | 0.303882 | + | 0.165932i | ||||
\(859\) | 21.0819 | − | 32.8040i | 0.719304 | − | 1.11926i | −0.268458 | − | 0.963291i | \(-0.586514\pi\) |
0.987762 | − | 0.155967i | \(-0.0498495\pi\) | |||||||
\(860\) | 22.3430 | − | 12.4150i | 0.761891 | − | 0.423347i | ||||
\(861\) | −0.0463387 | + | 0.157815i | −0.00157922 | + | 0.00537832i | ||||
\(862\) | −9.72712 | − | 0.695697i | −0.331307 | − | 0.0236955i | ||||
\(863\) | −24.8833 | − | 1.77969i | −0.847039 | − | 0.0605814i | −0.358930 | − | 0.933364i | \(-0.616858\pi\) |
−0.488108 | + | 0.872783i | \(0.662313\pi\) | |||||||
\(864\) | −0.281733 | + | 0.959493i | −0.00958474 | + | 0.0326426i | ||||
\(865\) | −13.7852 | + | 7.65980i | −0.468711 | + | 0.260441i | ||||
\(866\) | 7.47754 | − | 11.6353i | 0.254097 | − | 0.395383i | ||||
\(867\) | −23.3014 | − | 12.7235i | −0.791356 | − | 0.432113i | ||||
\(868\) | −4.17789 | + | 3.12753i | −0.141807 | + | 0.106155i | ||||
\(869\) | 41.5967 | − | 18.9966i | 1.41107 | − | 0.644414i | ||||
\(870\) | 6.59398 | + | 21.8594i | 0.223557 | + | 0.741104i | ||||
\(871\) | 3.53444 | + | 5.49970i | 0.119760 | + | 0.186350i | ||||
\(872\) | 1.39528 | + | 19.5086i | 0.0472503 | + | 0.660645i | ||||
\(873\) | −3.66515 | − | 3.66515i | −0.124047 | − | 0.124047i | ||||
\(874\) | −1.19213 | − | 11.3538i | −0.0403244 | − | 0.384047i | ||||
\(875\) | 5.32019 | + | 1.85133i | 0.179855 | + | 0.0625864i | ||||
\(876\) | −7.59350 | + | 8.76337i | −0.256561 | + | 0.296087i | ||||
\(877\) | −8.90882 | − | 1.93799i | −0.300829 | − | 0.0654414i | 0.0596171 | − | 0.998221i | \(-0.481012\pi\) |
−0.360447 | + | 0.932780i | \(0.617376\pi\) | |||||||
\(878\) | −14.2034 | − | 10.6325i | −0.479340 | − | 0.358830i | ||||
\(879\) | 9.56600 | + | 20.9466i | 0.322653 | + | 0.706512i | ||||
\(880\) | 0.0647640 | + | 8.78216i | 0.00218319 | + | 0.296047i | ||||
\(881\) | 6.51555 | + | 22.1899i | 0.219514 | + | 0.747598i | 0.993443 | + | 0.114325i | \(0.0364706\pi\) |
−0.773929 | + | 0.633272i | \(0.781711\pi\) | |||||||
\(882\) | 1.43400 | + | 6.59198i | 0.0482852 | + | 0.221963i | ||||
\(883\) | −4.58889 | − | 12.3033i | −0.154429 | − | 0.414039i | 0.836579 | − | 0.547847i | \(-0.184552\pi\) |
−0.991007 | + | 0.133808i | \(0.957280\pi\) | |||||||
\(884\) | 16.3499 | + | 4.80075i | 0.549905 | + | 0.161467i | ||||
\(885\) | −15.1041 | + | 1.19228i | −0.507719 | + | 0.0400781i | ||||
\(886\) | 15.8636 | + | 18.3076i | 0.532948 | + | 0.615055i | ||||
\(887\) | 16.6343 | + | 30.4635i | 0.558526 | + | 1.02286i | 0.992536 | + | 0.121955i | \(0.0389165\pi\) |
−0.434010 | + | 0.900908i | \(0.642902\pi\) | |||||||
\(888\) | −7.44776 | + | 2.77787i | −0.249930 | + | 0.0932193i | ||||
\(889\) | 7.78994 | + | 5.00629i | 0.261266 | + | 0.167906i | ||||
\(890\) | 7.98290 | − | 21.8948i | 0.267588 | − | 0.733914i | ||||
\(891\) | −3.88763 | − | 0.558957i | −0.130241 | − | 0.0187258i | ||||
\(892\) | −1.04213 | + | 2.79406i | −0.0348931 | + | 0.0935521i | ||||
\(893\) | −3.02526 | + | 4.04128i | −0.101237 | + | 0.135236i | ||||
\(894\) | 0.518669 | − | 0.333329i | 0.0173469 | − | 0.0111482i | ||||
\(895\) | 29.9491 | − | 47.3661i | 1.00109 | − | 1.58327i | ||||
\(896\) | − | 0.503840i | − | 0.0168321i | ||||||
\(897\) | 2.16846 | + | 12.1923i | 0.0724029 | + | 0.407089i | ||||
\(898\) | −10.8993 | + | 10.8993i | −0.363714 | + | 0.363714i | ||||
\(899\) | −79.9326 | − | 69.2620i | −2.66590 | − | 2.31002i | ||||
\(900\) | −3.21822 | + | 3.82663i | −0.107274 | + | 0.127554i | ||||
\(901\) | 5.92902 | + | 41.2372i | 0.197524 | + | 1.37381i | ||||
\(902\) | −1.20132 | − | 0.448069i | −0.0399996 | − | 0.0149191i | ||||
\(903\) | −3.45148 | − | 4.61064i | −0.114858 | − | 0.153433i | ||||
\(904\) | 7.40697 | − | 2.17488i | 0.246352 | − | 0.0723355i | ||||
\(905\) | −22.2675 | − | 9.97143i | −0.740196 | − | 0.331462i | ||||
\(906\) | −9.45160 | + | 20.6961i | −0.314008 | + | 0.687582i | ||||
\(907\) | −11.0848 | + | 6.05274i | −0.368064 | + | 0.200978i | −0.652627 | − | 0.757679i | \(-0.726333\pi\) |
0.284563 | + | 0.958657i | \(0.408151\pi\) | |||||||
\(908\) | −1.30861 | + | 18.2967i | −0.0434276 | + | 0.607197i | ||||
\(909\) | −8.53598 | + | 7.39647i | −0.283121 | + | 0.245325i | ||||
\(910\) | −1.76050 | − | 2.31595i | −0.0583599 | − | 0.0767730i | ||||
\(911\) | 2.12991 | + | 0.972696i | 0.0705670 | + | 0.0322269i | 0.450386 | − | 0.892834i | \(-0.351286\pi\) |
−0.379819 | + | 0.925061i | \(0.624014\pi\) | |||||||
\(912\) | −2.32604 | + | 0.505999i | −0.0770229 | + | 0.0167553i | ||||
\(913\) | 34.1207 | − | 62.4874i | 1.12923 | − | 2.06803i | ||||
\(914\) | −0.756685 | + | 5.26286i | −0.0250289 | + | 0.174080i | ||||
\(915\) | −1.17035 | − | 0.245570i | −0.0386906 | − | 0.00811828i | ||||
\(916\) | 10.0679 | − | 1.44755i | 0.332654 | − | 0.0478285i | ||||
\(917\) | −0.828449 | + | 3.80832i | −0.0273578 | + | 0.125762i | ||||
\(918\) | −6.58234 | + | 0.470778i | −0.217250 | + | 0.0155380i | ||||
\(919\) | −2.98882 | −0.0985922 | −0.0492961 | − | 0.998784i | \(-0.515698\pi\) | ||||
−0.0492961 | + | 0.998784i | \(0.515698\pi\) | |||||||
\(920\) | −8.31700 | + | 6.76960i | −0.274203 | + | 0.223187i | ||||
\(921\) | −1.96248 | −0.0646660 | ||||||||
\(922\) | −13.3526 | + | 0.954995i | −0.439743 | + | 0.0314511i | ||||
\(923\) | 0.981078 | − | 4.50994i | 0.0322926 | − | 0.148447i | ||||
\(924\) | 1.95874 | − | 0.281625i | 0.0644379 | − | 0.00926478i | ||||
\(925\) | −39.6810 | − | 2.25038i | −1.30470 | − | 0.0739920i | ||||
\(926\) | −3.14234 | + | 21.8555i | −0.103264 | + | 0.718216i | ||||
\(927\) | −1.82958 | + | 3.35062i | −0.0600912 | + | 0.110049i | ||||
\(928\) | 9.97757 | − | 2.17049i | 0.327530 | − | 0.0712497i | ||||
\(929\) | −5.45599 | − | 2.49167i | −0.179005 | − | 0.0817489i | 0.323897 | − | 0.946092i | \(-0.395007\pi\) |
−0.502902 | + | 0.864344i | \(0.667734\pi\) | |||||||
\(930\) | 3.12707 | − | 22.9494i | 0.102541 | − | 0.752540i | ||||
\(931\) | −12.1364 | + | 10.5163i | −0.397756 | + | 0.344657i | ||||
\(932\) | 0.140976 | − | 1.97111i | 0.00461783 | − | 0.0645657i | ||||
\(933\) | 7.82056 | − | 4.27035i | 0.256034 | − | 0.139805i | ||||
\(934\) | 2.78499 | − | 6.09829i | 0.0911278 | − | 0.199542i | ||||
\(935\) | −54.1514 | + | 20.6536i | −1.77094 | + | 0.675445i | ||||
\(936\) | 2.47757 | − | 0.727480i | 0.0809819 | − | 0.0237784i | ||||
\(937\) | 0.629231 | + | 0.840554i | 0.0205561 | + | 0.0274597i | 0.810702 | − | 0.585460i | \(-0.199086\pi\) |
−0.790145 | + | 0.612919i | \(0.789995\pi\) | |||||||
\(938\) | 1.19519 | + | 0.445783i | 0.0390243 | + | 0.0145553i | ||||
\(939\) | 1.06588 | + | 7.41334i | 0.0347836 | + | 0.241925i | ||||
\(940\) | 4.73229 | + | 0.303402i | 0.154350 | + | 0.00989588i | ||||
\(941\) | −12.2439 | − | 10.6094i | −0.399139 | − | 0.345856i | 0.432046 | − | 0.901851i | \(-0.357792\pi\) |
−0.831185 | + | 0.555995i | \(0.812337\pi\) | |||||||
\(942\) | −7.41728 | + | 7.41728i | −0.241668 | + | 0.241668i | ||||
\(943\) | −0.490720 | − | 1.48670i | −0.0159801 | − | 0.0484135i | ||||
\(944\) | 6.77578i | 0.220533i | ||||||||
\(945\) | 0.952239 | + | 0.602091i | 0.0309763 | + | 0.0195860i | ||||
\(946\) | 37.7694 | − | 24.2729i | 1.22799 | − | 0.789181i | ||||
\(947\) | −11.5487 | + | 15.4272i | −0.375282 | + | 0.501318i | −0.947928 | − | 0.318485i | \(-0.896826\pi\) |
0.572646 | + | 0.819803i | \(0.305917\pi\) | |||||||
\(948\) | 4.06881 | − | 10.9089i | 0.132149 | − | 0.354304i | ||||
\(949\) | 29.6370 | + | 4.26115i | 0.962057 | + | 0.138323i | ||||
\(950\) | −11.6663 | − | 2.35820i | −0.378503 | − | 0.0765100i | ||||
\(951\) | 0.840085 | + | 0.539890i | 0.0272416 | + | 0.0175071i | ||||
\(952\) | 3.11528 | − | 1.16194i | 0.100967 | − | 0.0376587i | ||||
\(953\) | 5.15892 | + | 9.44785i | 0.167114 | + | 0.306046i | 0.947793 | − | 0.318886i | \(-0.103309\pi\) |
−0.780679 | + | 0.624932i | \(0.785127\pi\) | |||||||
\(954\) | 4.13422 | + | 4.77114i | 0.133850 | + | 0.154471i | ||||
\(955\) | 0.342181 | + | 0.292112i | 0.0110727 | + | 0.00945251i | ||||
\(956\) | −28.2440 | − | 8.29319i | −0.913476 | − | 0.268221i | ||||
\(957\) | 14.0151 | + | 37.5759i | 0.453044 | + | 1.21466i | ||||
\(958\) | −5.18751 | − | 23.8466i | −0.167601 | − | 0.770448i | ||||
\(959\) | 2.43318 | + | 8.28664i | 0.0785714 | + | 0.267590i | ||||
\(960\) | 1.59276 | + | 1.56944i | 0.0514060 | + | 0.0506533i | ||||
\(961\) | 31.6923 | + | 69.3964i | 1.02233 | + | 2.23859i | ||||
\(962\) | 16.4315 | + | 12.3005i | 0.529773 | + | 0.396583i | ||||
\(963\) | 2.44464 | + | 0.531798i | 0.0787773 | + | 0.0171369i | ||||
\(964\) | −10.0551 | + | 11.6043i | −0.323854 | + | 0.373748i | ||||
\(965\) | −28.9783 | − | 21.3613i | −0.932846 | − | 0.687644i | ||||
\(966\) | 1.76440 | + | 1.65092i | 0.0567687 | + | 0.0531175i | ||||
\(967\) | 24.6059 | + | 24.6059i | 0.791274 | + | 0.791274i | 0.981701 | − | 0.190427i | \(-0.0609874\pi\) |
−0.190427 | + | 0.981701i | \(0.560987\pi\) | |||||||
\(968\) | 0.315756 | + | 4.41484i | 0.0101488 | + | 0.141898i | ||||
\(969\) | −8.49287 | − | 13.2152i | −0.272830 | − | 0.424532i | ||||
\(970\) | −11.0964 | + | 3.34726i | −0.356283 | + | 0.107474i | ||||
\(971\) | 9.50297 | − | 4.33986i | 0.304965 | − | 0.139273i | −0.257054 | − | 0.966397i | \(-0.582752\pi\) |
0.562019 | + | 0.827124i | \(0.310025\pi\) | |||||||
\(972\) | −0.800541 | + | 0.599278i | −0.0256774 | + | 0.0192218i | ||||
\(973\) | −5.93611 | − | 3.24136i | −0.190303 | − | 0.103913i | ||||
\(974\) | 5.53929 | − | 8.61931i | 0.177490 | − | 0.276180i | ||||
\(975\) | 12.8051 | + | 1.64873i | 0.410092 | + | 0.0528016i | ||||
\(976\) | −0.150669 | + | 0.513132i | −0.00482280 | + | 0.0164249i | ||||
\(977\) | 36.3692 | + | 2.60118i | 1.16355 | + | 0.0832191i | 0.639725 | − | 0.768604i | \(-0.279048\pi\) |
0.523830 | + | 0.851823i | \(0.324503\pi\) | |||||||
\(978\) | 0.378477 | + | 0.0270692i | 0.0121024 | + | 0.000865578i | ||||
\(979\) | 11.5325 | − | 39.2761i | 0.368580 | − | 1.25527i | ||||
\(980\) | 14.5047 | + | 4.14304i | 0.463337 | + | 0.132345i | ||||
\(981\) | −10.5741 | + | 16.4536i | −0.337605 | + | 0.525323i | ||||
\(982\) | 8.66831 | + | 4.73325i | 0.276617 | + | 0.151044i | ||||
\(983\) | 22.6130 | − | 16.9279i | 0.721243 | − | 0.539915i | −0.174408 | − | 0.984673i | \(-0.555801\pi\) |
0.895651 | + | 0.444758i | \(0.146710\pi\) | |||||||
\(984\) | −0.296948 | + | 0.135612i | −0.00946635 | + | 0.00432314i | ||||
\(985\) | −1.57051 | − | 0.842591i | −0.0500407 | − | 0.0268472i | ||||
\(986\) | 36.4302 | + | 56.6866i | 1.16018 | + | 1.80527i | ||||
\(987\) | −0.0762251 | − | 1.06577i | −0.00242627 | − | 0.0339237i | ||||
\(988\) | 4.34637 | + | 4.34637i | 0.138276 | + | 0.138276i | ||||
\(989\) | 51.9727 | + | 17.4417i | 1.65263 | + | 0.554615i | ||||
\(990\) | −5.21111 | + | 7.06930i | −0.165620 | + | 0.224677i | ||||
\(991\) | 12.6531 | − | 14.6024i | 0.401938 | − | 0.463862i | −0.518312 | − | 0.855192i | \(-0.673439\pi\) |
0.920250 | + | 0.391330i | \(0.127985\pi\) | |||||||
\(992\) | −10.1214 | − | 2.20178i | −0.321355 | − | 0.0699065i | ||||
\(993\) | 17.0059 | + | 12.7305i | 0.539667 | + | 0.403990i | ||||
\(994\) | −0.374112 | − | 0.819191i | −0.0118661 | − | 0.0259832i | ||||
\(995\) | 25.1359 | − | 0.185364i | 0.796860 | − | 0.00587644i | ||||
\(996\) | −5.10700 | − | 17.3928i | −0.161821 | − | 0.551113i | ||||
\(997\) | 3.82202 | + | 17.5695i | 0.121044 | + | 0.556432i | 0.997225 | + | 0.0744490i | \(0.0237198\pi\) |
−0.876180 | + | 0.481983i | \(0.839917\pi\) | |||||||
\(998\) | 0.914872 | + | 2.45287i | 0.0289598 | + | 0.0776442i | ||||
\(999\) | −7.62696 | − | 2.23948i | −0.241306 | − | 0.0708539i |
(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.w.b.7.5 | ✓ | 240 | |
5.3 | odd | 4 | inner | 690.2.w.b.283.12 | yes | 240 | |
23.10 | odd | 22 | inner | 690.2.w.b.217.12 | yes | 240 | |
115.33 | even | 44 | inner | 690.2.w.b.493.5 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.w.b.7.5 | ✓ | 240 | 1.1 | even | 1 | trivial | |
690.2.w.b.217.12 | yes | 240 | 23.10 | odd | 22 | inner | |
690.2.w.b.283.12 | yes | 240 | 5.3 | odd | 4 | inner | |
690.2.w.b.493.5 | yes | 240 | 115.33 | even | 44 | inner |