Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [896,2,Mod(3,896)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(896, base_ring=CyclotomicField(96))
chi = DirichletCharacter(H, H._module([48, 9, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("896.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 896 = 2^{7} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 896.bt (of order \(96\), degree \(32\), 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: | \(7.15459602111\) |
Analytic rank: | \(0\) |
Dimension: | \(4032\) |
Relative dimension: | \(126\) over \(\Q(\zeta_{96})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{96}]$ |
Embedding invariants
Embedding label | 59.84 | ||
Character | \(\chi\) | \(=\) | 896.59 |
Dual form | 896.2.bt.a.243.84 |
$q$-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 \(\left(\mathbb{Z}/896\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(645\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{17}{32}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.734041 | − | 1.20879i | 0.519045 | − | 0.854747i | ||||
\(3\) | 0.0712645 | + | 0.0760884i | 0.0411446 | + | 0.0439296i | 0.750106 | − | 0.661318i | \(-0.230003\pi\) |
−0.708961 | + | 0.705247i | \(0.750836\pi\) | |||||||
\(4\) | −0.922368 | − | 1.77461i | −0.461184 | − | 0.887304i | ||||
\(5\) | −1.69612 | − | 3.74342i | −0.758528 | − | 1.67411i | −0.738450 | − | 0.674308i | \(-0.764442\pi\) |
−0.0200772 | − | 0.999798i | \(-0.506391\pi\) | |||||||
\(6\) | 0.144286 | − | 0.0302922i | 0.0589046 | − | 0.0123667i | ||||
\(7\) | 2.17401 | − | 1.50788i | 0.821697 | − | 0.569924i | ||||
\(8\) | −2.82219 | − | 0.187681i | −0.997796 | − | 0.0663553i | ||||
\(9\) | 0.195499 | − | 2.98273i | 0.0651662 | − | 0.994244i | ||||
\(10\) | −5.77004 | − | 0.697559i | −1.82465 | − | 0.220588i | ||||
\(11\) | −1.01754 | − | 1.63634i | −0.306800 | − | 0.493374i | 0.659182 | − | 0.751983i | \(-0.270903\pi\) |
−0.965982 | + | 0.258609i | \(0.916736\pi\) | |||||||
\(12\) | 0.0692949 | − | 0.196648i | 0.0200037 | − | 0.0567674i | ||||
\(13\) | 0.353391 | + | 3.58804i | 0.0980130 | + | 0.995143i | 0.910874 | + | 0.412685i | \(0.135409\pi\) |
−0.812861 | + | 0.582458i | \(0.802091\pi\) | |||||||
\(14\) | −0.226905 | − | 3.73477i | −0.0606428 | − | 0.998160i | ||||
\(15\) | 0.163957 | − | 0.395828i | 0.0423336 | − | 0.102202i | ||||
\(16\) | −2.29847 | + | 3.27369i | −0.574618 | + | 0.818422i | ||||
\(17\) | 5.93694 | + | 0.781613i | 1.43992 | + | 0.189569i | 0.809698 | − | 0.586846i | \(-0.199631\pi\) |
0.630221 | + | 0.776415i | \(0.282964\pi\) | |||||||
\(18\) | −3.46201 | − | 2.42576i | −0.816003 | − | 0.571758i | ||||
\(19\) | −0.173734 | + | 1.05229i | −0.0398573 | + | 0.241412i | −0.999161 | − | 0.0409659i | \(-0.986956\pi\) |
0.959303 | + | 0.282378i | \(0.0911232\pi\) | |||||||
\(20\) | −5.07865 | + | 6.46276i | −1.13562 | + | 1.44512i | ||||
\(21\) | 0.269662 | + | 0.0579584i | 0.0588450 | + | 0.0126476i | ||||
\(22\) | −2.72491 | + | 0.0288585i | −0.580953 | + | 0.00615265i | ||||
\(23\) | −1.05372 | − | 1.20153i | −0.219715 | − | 0.250537i | 0.631473 | − | 0.775398i | \(-0.282451\pi\) |
−0.851188 | + | 0.524861i | \(0.824117\pi\) | |||||||
\(24\) | −0.186842 | − | 0.228111i | −0.0381389 | − | 0.0465630i | ||||
\(25\) | −7.83961 | + | 8.93936i | −1.56792 | + | 1.78787i | ||||
\(26\) | 4.59660 | + | 2.20659i | 0.901468 | + | 0.432748i | ||||
\(27\) | 0.482642 | − | 0.396094i | 0.0928846 | − | 0.0762284i | ||||
\(28\) | −4.68113 | − | 2.46719i | −0.884650 | − | 0.466256i | ||||
\(29\) | 3.87241 | + | 7.24477i | 0.719089 | + | 1.34532i | 0.929907 | + | 0.367795i | \(0.119887\pi\) |
−0.210818 | + | 0.977525i | \(0.567613\pi\) | |||||||
\(30\) | −0.358123 | − | 0.488744i | −0.0653840 | − | 0.0892321i | ||||
\(31\) | −0.769621 | + | 0.206219i | −0.138228 | + | 0.0370381i | −0.327270 | − | 0.944931i | \(-0.606129\pi\) |
0.189042 | + | 0.981969i | \(0.439462\pi\) | |||||||
\(32\) | 2.27004 | + | 5.18140i | 0.401290 | + | 0.915951i | ||||
\(33\) | 0.0519917 | − | 0.194036i | 0.00905060 | − | 0.0337773i | ||||
\(34\) | 5.30277 | − | 6.60281i | 0.909417 | − | 1.13237i | ||||
\(35\) | −9.33199 | − | 5.58067i | −1.57739 | − | 0.943305i | ||||
\(36\) | −5.47350 | + | 2.40424i | −0.912251 | + | 0.400707i | ||||
\(37\) | 2.44254 | − | 6.48969i | 0.401552 | − | 1.06690i | −0.568218 | − | 0.822878i | \(-0.692367\pi\) |
0.969770 | − | 0.244020i | \(-0.0784662\pi\) | |||||||
\(38\) | 1.14447 | + | 0.982432i | 0.185658 | + | 0.159372i | ||||
\(39\) | −0.247824 | + | 0.282589i | −0.0396836 | + | 0.0452504i | ||||
\(40\) | 4.08421 | + | 10.8830i | 0.645770 | + | 1.72075i | ||||
\(41\) | −1.38004 | − | 6.93792i | −0.215526 | − | 1.08352i | −0.925342 | − | 0.379134i | \(-0.876222\pi\) |
0.709816 | − | 0.704387i | \(-0.248778\pi\) | |||||||
\(42\) | 0.268002 | − | 0.283422i | 0.0413537 | − | 0.0437329i | ||||
\(43\) | −10.9011 | + | 3.30682i | −1.66240 | + | 0.504285i | −0.975040 | − | 0.222029i | \(-0.928732\pi\) |
−0.687364 | + | 0.726314i | \(0.741232\pi\) | |||||||
\(44\) | −1.96531 | + | 3.31504i | −0.296282 | + | 0.499761i | ||||
\(45\) | −11.4972 | + | 4.32724i | −1.71390 | + | 0.645066i | ||||
\(46\) | −2.22587 | + | 0.391752i | −0.328187 | + | 0.0577606i | ||||
\(47\) | 7.07963 | − | 9.22635i | 1.03267 | − | 1.34580i | 0.0960806 | − | 0.995374i | \(-0.469369\pi\) |
0.936590 | − | 0.350428i | \(-0.113964\pi\) | |||||||
\(48\) | −0.412889 | + | 0.0584107i | −0.0595954 | + | 0.00843085i | ||||
\(49\) | 2.45261 | − | 6.55627i | 0.350373 | − | 0.936610i | ||||
\(50\) | 5.05126 | + | 16.0383i | 0.714356 | + | 2.26816i | ||||
\(51\) | 0.363622 | + | 0.507433i | 0.0509172 | + | 0.0710549i | ||||
\(52\) | 6.04141 | − | 3.93662i | 0.837792 | − | 0.545911i | ||||
\(53\) | 5.80854 | + | 9.34089i | 0.797865 | + | 1.28307i | 0.955329 | + | 0.295546i | \(0.0955015\pi\) |
−0.157464 | + | 0.987525i | \(0.550332\pi\) | |||||||
\(54\) | −0.124518 | − | 0.874165i | −0.0169447 | − | 0.118959i | ||||
\(55\) | −4.39962 | + | 6.58450i | −0.593245 | + | 0.887854i | ||||
\(56\) | −6.41847 | + | 3.84750i | −0.857704 | + | 0.514144i | ||||
\(57\) | −0.0924481 | + | 0.0617718i | −0.0122450 | + | 0.00818188i | ||||
\(58\) | 11.5999 | + | 0.637008i | 1.52315 | + | 0.0836433i | ||||
\(59\) | 4.48104 | − | 6.25329i | 0.583382 | − | 0.814109i | −0.411890 | − | 0.911234i | \(-0.635131\pi\) |
0.995272 | + | 0.0971247i | \(0.0309646\pi\) | |||||||
\(60\) | −0.853668 | + | 0.0741391i | −0.110208 | + | 0.00957131i | ||||
\(61\) | −5.78102 | + | 1.34795i | −0.740184 | + | 0.172587i | −0.580133 | − | 0.814522i | \(-0.696999\pi\) |
−0.160051 | + | 0.987109i | \(0.551166\pi\) | |||||||
\(62\) | −0.315656 | + | 1.08169i | −0.0400884 | + | 0.137374i | ||||
\(63\) | −4.07258 | − | 6.77927i | −0.513097 | − | 0.854107i | ||||
\(64\) | 7.92955 | + | 1.05935i | 0.991194 | + | 0.132418i | ||||
\(65\) | 12.8321 | − | 7.40863i | 1.59163 | − | 0.918927i | ||||
\(66\) | −0.196385 | − | 0.205278i | −0.0241734 | − | 0.0252679i | ||||
\(67\) | −8.38480 | − | 8.95236i | −1.02437 | − | 1.09371i | −0.995561 | − | 0.0941201i | \(-0.969996\pi\) |
−0.0288058 | − | 0.999585i | \(-0.509170\pi\) | |||||||
\(68\) | −4.08899 | − | 11.2567i | −0.495863 | − | 1.36507i | ||||
\(69\) | 0.0163301 | − | 0.165802i | 0.00196591 | − | 0.0199602i | ||||
\(70\) | −13.5959 | + | 7.18402i | −1.62503 | + | 0.858654i | ||||
\(71\) | 8.27446 | + | 12.3836i | 0.981998 | + | 1.46966i | 0.880054 | + | 0.474874i | \(0.157506\pi\) |
0.101944 | + | 0.994790i | \(0.467494\pi\) | |||||||
\(72\) | −1.11154 | + | 8.38116i | −0.130996 | + | 0.987729i | ||||
\(73\) | 1.67941 | − | 0.828193i | 0.196560 | − | 0.0969326i | −0.341345 | − | 0.939938i | \(-0.610883\pi\) |
0.537905 | + | 0.843005i | \(0.319216\pi\) | |||||||
\(74\) | −6.05177 | − | 7.71623i | −0.703504 | − | 0.896993i | ||||
\(75\) | −1.23887 | + | 0.0405563i | −0.143052 | + | 0.00468304i | ||||
\(76\) | 2.02765 | − | 0.662290i | 0.232587 | − | 0.0759698i | ||||
\(77\) | −4.67954 | − | 2.02308i | −0.533283 | − | 0.230552i | ||||
\(78\) | 0.159679 | + | 0.507000i | 0.0180801 | + | 0.0574064i | ||||
\(79\) | 0.0947858 | + | 0.719970i | 0.0106642 | + | 0.0810029i | 0.995949 | − | 0.0899158i | \(-0.0286598\pi\) |
−0.985285 | + | 0.170919i | \(0.945326\pi\) | |||||||
\(80\) | 16.1533 | + | 3.05158i | 1.80599 | + | 0.341177i | ||||
\(81\) | −8.82615 | − | 1.16198i | −0.980683 | − | 0.129109i | ||||
\(82\) | −9.39952 | − | 3.42453i | −1.03800 | − | 0.378176i | ||||
\(83\) | −5.37345 | + | 6.54757i | −0.589813 | + | 0.718689i | −0.979316 | − | 0.202336i | \(-0.935147\pi\) |
0.389503 | + | 0.921025i | \(0.372647\pi\) | |||||||
\(84\) | −0.145874 | − | 0.532003i | −0.0159161 | − | 0.0580463i | ||||
\(85\) | −7.14386 | − | 23.5501i | −0.774860 | − | 2.55437i | ||||
\(86\) | −4.00460 | + | 15.6045i | −0.431827 | + | 1.68268i | ||||
\(87\) | −0.275277 | + | 0.810941i | −0.0295128 | + | 0.0869420i | ||||
\(88\) | 2.56459 | + | 4.80903i | 0.273386 | + | 0.512645i | ||||
\(89\) | 0.337191 | + | 0.993332i | 0.0357422 | + | 0.105293i | 0.963337 | − | 0.268296i | \(-0.0864605\pi\) |
−0.927594 | + | 0.373589i | \(0.878127\pi\) | |||||||
\(90\) | −3.20867 | + | 17.0741i | −0.338223 | + | 1.79977i | ||||
\(91\) | 6.17860 | + | 7.26755i | 0.647693 | + | 0.761846i | ||||
\(92\) | −1.16034 | + | 2.97819i | −0.120973 | + | 0.310497i | ||||
\(93\) | −0.0705376 | − | 0.0438631i | −0.00731441 | − | 0.00454839i | ||||
\(94\) | −5.95603 | − | 15.3303i | −0.614317 | − | 1.58120i | ||||
\(95\) | 4.23383 | − | 1.13445i | 0.434382 | − | 0.116392i | ||||
\(96\) | −0.232471 | + | 0.541974i | −0.0237265 | + | 0.0553150i | ||||
\(97\) | 4.98377 | − | 4.98377i | 0.506025 | − | 0.506025i | −0.407279 | − | 0.913304i | \(-0.633522\pi\) |
0.913304 | + | 0.407279i | \(0.133522\pi\) | |||||||
\(98\) | −6.12487 | − | 7.77727i | −0.618705 | − | 0.785623i | ||||
\(99\) | −5.07968 | + | 2.71515i | −0.510528 | + | 0.272883i | ||||
\(100\) | 23.0949 | + | 5.66685i | 2.30949 | + | 0.566685i | ||||
\(101\) | 7.97325 | − | 1.31639i | 0.793368 | − | 0.130986i | 0.247534 | − | 0.968879i | \(-0.420380\pi\) |
0.545834 | + | 0.837893i | \(0.316213\pi\) | |||||||
\(102\) | 0.880296 | − | 0.0670671i | 0.0871623 | − | 0.00664063i | ||||
\(103\) | −3.35967 | − | 9.89727i | −0.331038 | − | 0.975207i | −0.977258 | − | 0.212055i | \(-0.931984\pi\) |
0.646219 | − | 0.763152i | \(-0.276349\pi\) | |||||||
\(104\) | −0.323930 | − | 10.1925i | −0.0317639 | − | 0.999453i | ||||
\(105\) | −0.240416 | − | 1.10776i | −0.0234622 | − | 0.108106i | ||||
\(106\) | 15.5549 | − | 0.164736i | 1.51083 | − | 0.0160006i | ||||
\(107\) | −7.71230 | + | 8.23434i | −0.745576 | + | 0.796044i | −0.984573 | − | 0.174977i | \(-0.944015\pi\) |
0.238996 | + | 0.971020i | \(0.423182\pi\) | |||||||
\(108\) | −1.14809 | − | 0.491157i | −0.110475 | − | 0.0472616i | ||||
\(109\) | 10.9287 | − | 4.11327i | 1.04678 | − | 0.393980i | 0.231371 | − | 0.972866i | \(-0.425679\pi\) |
0.815409 | + | 0.578886i | \(0.196512\pi\) | |||||||
\(110\) | 4.72981 | + | 10.1515i | 0.450969 | + | 0.967910i | ||||
\(111\) | 0.667856 | − | 0.276635i | 0.0633901 | − | 0.0262570i | ||||
\(112\) | −0.0605779 | + | 10.5828i | −0.00572408 | + | 0.999984i | ||||
\(113\) | −11.1091 | − | 4.60155i | −1.04506 | − | 0.432877i | −0.206933 | − | 0.978355i | \(-0.566348\pi\) |
−0.838125 | + | 0.545478i | \(0.816348\pi\) | |||||||
\(114\) | 0.00680880 | + | 0.157094i | 0.000637702 | + | 0.0147132i | ||||
\(115\) | −2.71061 | + | 5.98243i | −0.252765 | + | 0.557865i | ||||
\(116\) | 9.28485 | − | 13.5544i | 0.862076 | − | 1.25849i | ||||
\(117\) | 10.7712 | − | 0.352614i | 0.995802 | − | 0.0325992i | ||||
\(118\) | −4.26967 | − | 10.0068i | −0.393055 | − | 0.921203i | ||||
\(119\) | 14.0855 | − | 7.25295i | 1.29122 | − | 0.664877i | ||||
\(120\) | −0.537008 | + | 1.08633i | −0.0490219 | + | 0.0991680i | ||||
\(121\) | 3.22296 | − | 6.53552i | 0.292997 | − | 0.594138i | ||||
\(122\) | −2.61412 | + | 7.97751i | −0.236671 | + | 0.722250i | ||||
\(123\) | 0.429547 | − | 0.599432i | 0.0387310 | − | 0.0540490i | ||||
\(124\) | 1.07583 | + | 1.17557i | 0.0966126 | + | 0.105569i | ||||
\(125\) | 27.0968 | + | 8.21971i | 2.42361 | + | 0.735193i | ||||
\(126\) | −11.1842 | − | 0.0533469i | −0.996366 | − | 0.00475252i | ||||
\(127\) | 4.32769i | 0.384020i | 0.981393 | + | 0.192010i | \(0.0615007\pi\) | ||||
−0.981393 | + | 0.192010i | \(0.938499\pi\) | |||||||
\(128\) | 7.10115 | − | 8.80760i | 0.627658 | − | 0.778489i | ||||
\(129\) | −1.02847 | − | 0.593789i | −0.0905520 | − | 0.0522802i | ||||
\(130\) | 0.463790 | − | 20.9496i | 0.0406771 | − | 1.83740i | ||||
\(131\) | 2.85216 | − | 0.665030i | 0.249194 | − | 0.0581040i | −0.100613 | − | 0.994926i | \(-0.532080\pi\) |
0.349807 | + | 0.936822i | \(0.386247\pi\) | |||||||
\(132\) | −0.392293 | + | 0.0867075i | −0.0341447 | + | 0.00754692i | ||||
\(133\) | 1.20903 | + | 2.54965i | 0.104836 | + | 0.221083i | ||||
\(134\) | −16.9764 | + | 3.56410i | −1.46653 | + | 0.307892i | ||||
\(135\) | −2.30137 | − | 1.13491i | −0.198070 | − | 0.0976773i | ||||
\(136\) | −16.6085 | − | 3.32012i | −1.42417 | − | 0.284698i | ||||
\(137\) | 5.25323 | − | 2.59061i | 0.448814 | − | 0.221331i | −0.203813 | − | 0.979010i | \(-0.565334\pi\) |
0.652627 | + | 0.757679i | \(0.273667\pi\) | |||||||
\(138\) | −0.188434 | − | 0.141445i | −0.0160405 | − | 0.0120406i | ||||
\(139\) | 7.55224 | + | 4.03676i | 0.640573 | + | 0.342393i | 0.759498 | − | 0.650510i | \(-0.225445\pi\) |
−0.118925 | + | 0.992903i | \(0.537945\pi\) | |||||||
\(140\) | −1.29598 | + | 21.7081i | −0.109530 | + | 1.83467i | ||||
\(141\) | 1.20654 | − | 0.118834i | 0.101609 | − | 0.0100077i | ||||
\(142\) | 21.0430 | − | 0.912052i | 1.76589 | − | 0.0765377i | ||||
\(143\) | 5.51165 | − | 4.22924i | 0.460908 | − | 0.353667i | ||||
\(144\) | 9.31518 | + | 7.49573i | 0.776265 | + | 0.624644i | ||||
\(145\) | 20.5521 | − | 26.7840i | 1.70676 | − | 2.22429i | ||||
\(146\) | 0.231640 | − | 2.63799i | 0.0191706 | − | 0.218321i | ||||
\(147\) | 0.673640 | − | 0.280614i | 0.0555609 | − | 0.0231447i | ||||
\(148\) | −13.7696 | + | 1.65132i | −1.13185 | + | 0.135738i | ||||
\(149\) | 4.05263 | + | 3.79570i | 0.332004 | + | 0.310956i | 0.831678 | − | 0.555258i | \(-0.187380\pi\) |
−0.499674 | + | 0.866213i | \(0.666547\pi\) | |||||||
\(150\) | −0.860355 | + | 1.52731i | −0.0702477 | + | 0.124704i | ||||
\(151\) | −3.95831 | + | 11.6608i | −0.322123 | + | 0.948942i | 0.658423 | + | 0.752648i | \(0.271224\pi\) |
−0.980545 | + | 0.196294i | \(0.937109\pi\) | |||||||
\(152\) | 0.687805 | − | 2.93716i | 0.0557884 | − | 0.238235i | ||||
\(153\) | 3.49201 | − | 17.5555i | 0.282312 | − | 1.41928i | ||||
\(154\) | −5.88046 | + | 4.17157i | −0.473861 | + | 0.336155i | ||||
\(155\) | 2.07733 | + | 2.53124i | 0.166855 | + | 0.203314i | ||||
\(156\) | 0.730069 | + | 0.179139i | 0.0584523 | + | 0.0143426i | ||||
\(157\) | −0.0960826 | + | 2.93502i | −0.00766822 | + | 0.234240i | 0.988745 | + | 0.149614i | \(0.0478030\pi\) |
−0.996413 | + | 0.0846264i | \(0.973030\pi\) | |||||||
\(158\) | 0.939872 | + | 0.413911i | 0.0747722 | + | 0.0329290i | ||||
\(159\) | −0.296790 | + | 1.10764i | −0.0235370 | + | 0.0878413i | ||||
\(160\) | 15.5459 | − | 17.2860i | 1.22901 | − | 1.36658i | ||||
\(161\) | −4.10255 | − | 1.02326i | −0.323326 | − | 0.0806446i | ||||
\(162\) | −7.88335 | + | 9.81605i | −0.619374 | + | 0.771222i | ||||
\(163\) | −10.5251 | + | 16.9257i | −0.824387 | + | 1.32572i | 0.118617 | + | 0.992940i | \(0.462154\pi\) |
−0.943004 | + | 0.332782i | \(0.892013\pi\) | |||||||
\(164\) | −11.0392 | + | 8.84834i | −0.862016 | + | 0.690940i | ||||
\(165\) | −0.814541 | + | 0.134481i | −0.0634119 | + | 0.0104694i | ||||
\(166\) | 3.97033 | + | 11.3016i | 0.308158 | + | 0.877173i | ||||
\(167\) | −1.33053 | + | 6.68900i | −0.102959 | + | 0.517611i | 0.894543 | + | 0.446981i | \(0.147501\pi\) |
−0.997503 | + | 0.0706296i | \(0.977499\pi\) | |||||||
\(168\) | −0.750159 | − | 0.214180i | −0.0578760 | − | 0.0165244i | ||||
\(169\) | 0.00107785 | 0.000214399i | 8.29119e−5 | 1.64922e-5i | ||||||
\(170\) | −33.7112 | − | 8.65131i | −2.58553 | − | 0.663525i | ||||
\(171\) | 3.10473 | + | 0.723922i | 0.237425 | + | 0.0553597i | ||||
\(172\) | 15.9231 | + | 16.2951i | 1.21413 | + | 1.24249i | ||||
\(173\) | 3.15323 | − | 19.0989i | 0.239736 | − | 1.45206i | −0.548223 | − | 0.836332i | \(-0.684696\pi\) |
0.787959 | − | 0.615727i | \(-0.211138\pi\) | |||||||
\(174\) | 0.778196 | + | 0.928017i | 0.0589949 | + | 0.0703528i | ||||
\(175\) | −3.56390 | + | 31.2554i | −0.269406 | + | 2.36269i | ||||
\(176\) | 7.69565 | + | 0.429971i | 0.580081 | + | 0.0324103i | ||||
\(177\) | 0.795142 | − | 0.104682i | 0.0597665 | − | 0.00786841i | ||||
\(178\) | 1.44825 | + | 0.321552i | 0.108551 | + | 0.0241013i | ||||
\(179\) | 5.69667 | − | 12.5728i | 0.425789 | − | 0.939737i | −0.567424 | − | 0.823426i | \(-0.692060\pi\) |
0.993213 | − | 0.116311i | \(-0.0371069\pi\) | |||||||
\(180\) | 18.2838 | + | 16.4117i | 1.36279 | + | 1.22326i | ||||
\(181\) | 1.33646 | + | 0.714352i | 0.0993382 | + | 0.0530974i | 0.520318 | − | 0.853973i | \(-0.325814\pi\) |
−0.420979 | + | 0.907070i | \(0.638314\pi\) | |||||||
\(182\) | 13.3203 | − | 2.13398i | 0.987367 | − | 0.158181i | ||||
\(183\) | −0.514545 | − | 0.343808i | −0.0380362 | − | 0.0254150i | ||||
\(184\) | 2.74828 | + | 3.58872i | 0.202606 | + | 0.264564i | ||||
\(185\) | −28.4364 | + | 1.86382i | −2.09069 | + | 0.137031i | ||||
\(186\) | −0.104799 | + | 0.0530681i | −0.00768423 | + | 0.00389115i | ||||
\(187\) | −4.76209 | − | 10.5102i | −0.348239 | − | 0.768579i | ||||
\(188\) | −22.9032 | − | 4.05348i | −1.67039 | − | 0.295630i | ||||
\(189\) | 0.452006 | − | 1.58888i | 0.0328786 | − | 0.115574i | ||||
\(190\) | 1.73649 | − | 5.95057i | 0.125978 | − | 0.431699i | ||||
\(191\) | −7.58572 | − | 13.1389i | −0.548884 | − | 0.950694i | −0.998351 | − | 0.0573979i | \(-0.981720\pi\) |
0.449468 | − | 0.893297i | \(-0.351614\pi\) | |||||||
\(192\) | 0.484492 | + | 0.678840i | 0.0349652 | + | 0.0489911i | ||||
\(193\) | −7.28481 | − | 4.20589i | −0.524372 | − | 0.302746i | 0.214350 | − | 0.976757i | \(-0.431237\pi\) |
−0.738722 | + | 0.674011i | \(0.764570\pi\) | |||||||
\(194\) | −2.36606 | − | 9.68264i | −0.169873 | − | 0.695173i | ||||
\(195\) | 1.47819 | + | 0.448403i | 0.105855 | + | 0.0321108i | ||||
\(196\) | −13.8970 | + | 1.69487i | −0.992645 | + | 0.121062i | ||||
\(197\) | −4.50454 | − | 0.443658i | −0.320935 | − | 0.0316093i | −0.0637330 | − | 0.997967i | \(-0.520301\pi\) |
−0.257202 | + | 0.966358i | \(0.582801\pi\) | |||||||
\(198\) | −0.446639 | + | 8.13332i | −0.0317413 | + | 0.578010i | ||||
\(199\) | 0.625810 | + | 9.54802i | 0.0443625 | + | 0.676841i | 0.960901 | + | 0.276894i | \(0.0893050\pi\) |
−0.916538 | + | 0.399948i | \(0.869028\pi\) | |||||||
\(200\) | 23.8026 | − | 23.7573i | 1.68310 | − | 1.67989i | ||||
\(201\) | 0.0836316 | − | 1.27597i | 0.00589892 | − | 0.0900001i | ||||
\(202\) | 4.26145 | − | 10.6043i | 0.299834 | − | 0.746116i | ||||
\(203\) | 19.3429 | + | 9.91106i | 1.35760 | + | 0.695620i | ||||
\(204\) | 0.565103 | − | 1.11333i | 0.0395651 | − | 0.0779485i | ||||
\(205\) | −23.6308 | + | 16.9336i | −1.65045 | + | 1.18269i | ||||
\(206\) | −14.4299 | − | 3.20385i | −1.00538 | − | 0.223223i | ||||
\(207\) | −3.78985 | + | 2.90805i | −0.263413 | + | 0.202124i | ||||
\(208\) | −12.5584 | − | 7.09012i | −0.870766 | − | 0.491611i | ||||
\(209\) | 1.89868 | − | 0.786460i | 0.131335 | − | 0.0544006i | ||||
\(210\) | −1.51553 | − | 0.522527i | −0.104581 | − | 0.0360578i | ||||
\(211\) | −13.1143 | − | 10.7626i | −0.902824 | − | 0.740929i | 0.0635742 | − | 0.997977i | \(-0.479750\pi\) |
−0.966399 | + | 0.257048i | \(0.917250\pi\) | |||||||
\(212\) | 11.2188 | − | 18.9236i | 0.770512 | − | 1.29968i | ||||
\(213\) | −0.352573 | + | 1.51210i | −0.0241579 | + | 0.103608i | ||||
\(214\) | 4.29248 | + | 15.3669i | 0.293428 | + | 1.05046i | ||||
\(215\) | 30.8684 | + | 35.1986i | 2.10521 | + | 2.40053i | ||||
\(216\) | −1.43645 | + | 1.02727i | −0.0977380 | + | 0.0698970i | ||||
\(217\) | −1.36221 | + | 1.60882i | −0.0924727 | + | 0.109214i | ||||
\(218\) | 3.05001 | − | 16.2299i | 0.206573 | − | 1.09922i | ||||
\(219\) | 0.182698 | + | 0.0687627i | 0.0123456 | + | 0.00464655i | ||||
\(220\) | 15.7430 | + | 1.73427i | 1.06139 | + | 0.116925i | ||||
\(221\) | −0.706397 | + | 21.5782i | −0.0475174 | + | 1.45151i | ||||
\(222\) | 0.155839 | − | 1.01036i | 0.0104592 | − | 0.0678111i | ||||
\(223\) | 8.87865 | − | 8.87865i | 0.594558 | − | 0.594558i | −0.344301 | − | 0.938859i | \(-0.611884\pi\) |
0.938859 | + | 0.344301i | \(0.111884\pi\) | |||||||
\(224\) | 12.7480 | + | 7.84146i | 0.851762 | + | 0.523929i | ||||
\(225\) | 25.1311 | + | 25.1311i | 1.67541 | + | 1.67541i | ||||
\(226\) | −13.7169 | + | 10.0509i | −0.912433 | + | 0.668577i | ||||
\(227\) | 9.14142 | + | 0.299259i | 0.606737 | + | 0.0198625i | 0.334544 | − | 0.942380i | \(-0.391418\pi\) |
0.272193 | + | 0.962243i | \(0.412251\pi\) | |||||||
\(228\) | 0.194892 | + | 0.107083i | 0.0129070 | + | 0.00709173i | ||||
\(229\) | −1.75110 | + | 4.65257i | −0.115716 | + | 0.307450i | −0.981053 | − | 0.193741i | \(-0.937938\pi\) |
0.865337 | + | 0.501191i | \(0.167105\pi\) | |||||||
\(230\) | 5.24184 | + | 7.66792i | 0.345637 | + | 0.505607i | ||||
\(231\) | −0.179552 | − | 0.500232i | −0.0118136 | − | 0.0329129i | ||||
\(232\) | −9.56899 | − | 21.1729i | −0.628235 | − | 1.39007i | ||||
\(233\) | −8.01057 | + | 7.02508i | −0.524790 | + | 0.460228i | −0.880282 | − | 0.474451i | \(-0.842647\pi\) |
0.355492 | + | 0.934679i | \(0.384313\pi\) | |||||||
\(234\) | 7.48029 | − | 13.2791i | 0.489002 | − | 0.868079i | ||||
\(235\) | −46.5460 | − | 10.8530i | −3.03632 | − | 0.707971i | ||||
\(236\) | −15.2303 | − | 2.18426i | −0.991409 | − | 0.142183i | ||||
\(237\) | −0.0480265 | + | 0.0585204i | −0.00311965 | + | 0.00380131i | ||||
\(238\) | 1.57203 | − | 22.3505i | 0.101899 | − | 1.44877i | ||||
\(239\) | 4.07298 | + | 9.83304i | 0.263459 | + | 0.636046i | 0.999148 | − | 0.0412732i | \(-0.0131414\pi\) |
−0.735689 | + | 0.677320i | \(0.763141\pi\) | |||||||
\(240\) | 0.918964 | + | 1.44654i | 0.0593189 | + | 0.0933740i | ||||
\(241\) | 6.23627 | + | 8.12727i | 0.401714 | + | 0.523523i | 0.949783 | − | 0.312910i | \(-0.101304\pi\) |
−0.548069 | + | 0.836433i | \(0.684637\pi\) | |||||||
\(242\) | −5.53432 | − | 8.69324i | −0.355759 | − | 0.558823i | ||||
\(243\) | −1.63162 | − | 2.27692i | −0.104668 | − | 0.146064i | ||||
\(244\) | 7.72431 | + | 9.01575i | 0.494498 | + | 0.577174i | ||||
\(245\) | −28.7028 | + | 1.93908i | −1.83375 | + | 0.123883i | ||||
\(246\) | −0.409285 | − | 0.959242i | −0.0260951 | − | 0.0611590i | ||||
\(247\) | −3.83705 | − | 0.251494i | −0.244146 | − | 0.0160022i | ||||
\(248\) | 2.21072 | − | 0.437547i | 0.140381 | − | 0.0277843i | ||||
\(249\) | −0.881130 | + | 0.0577523i | −0.0558394 | + | 0.00365990i | ||||
\(250\) | 29.8261 | − | 26.7208i | 1.88637 | − | 1.68997i | ||||
\(251\) | 1.84485 | − | 18.7311i | 0.116446 | − | 1.18230i | −0.742362 | − | 0.669999i | \(-0.766295\pi\) |
0.858808 | − | 0.512297i | \(-0.171205\pi\) | |||||||
\(252\) | −8.27413 | + | 13.4802i | −0.521221 | + | 0.849174i | ||||
\(253\) | −0.893914 | + | 2.94684i | −0.0561999 | + | 0.185266i | ||||
\(254\) | 5.23129 | + | 3.17670i | 0.328240 | + | 0.199324i | ||||
\(255\) | 1.28279 | − | 2.22185i | 0.0803313 | − | 0.139138i | ||||
\(256\) | −5.43404 | − | 15.0490i | −0.339628 | − | 0.940560i | ||||
\(257\) | 15.0957 | − | 8.71552i | 0.941646 | − | 0.543659i | 0.0511699 | − | 0.998690i | \(-0.483705\pi\) |
0.890476 | + | 0.455031i | \(0.150372\pi\) | |||||||
\(258\) | −1.47271 | + | 0.807347i | −0.0916869 | + | 0.0502632i | ||||
\(259\) | −4.47554 | − | 17.7917i | −0.278097 | − | 1.10552i | ||||
\(260\) | −24.9834 | − | 15.9385i | −1.54940 | − | 0.988465i | ||||
\(261\) | 22.3663 | − | 10.1340i | 1.38444 | − | 0.627280i | ||||
\(262\) | 1.28972 | − | 3.93583i | 0.0796789 | − | 0.243157i | ||||
\(263\) | −0.678459 | − | 10.3513i | −0.0418356 | − | 0.638288i | −0.966365 | − | 0.257176i | \(-0.917208\pi\) |
0.924529 | − | 0.381112i | \(-0.124459\pi\) | |||||||
\(264\) | −0.183148 | + | 0.537849i | −0.0112720 | + | 0.0331023i | ||||
\(265\) | 25.1149 | − | 37.5871i | 1.54279 | − | 2.30895i | ||||
\(266\) | 3.96948 | + | 0.410086i | 0.243385 | + | 0.0251440i | ||||
\(267\) | −0.0515513 | + | 0.0964456i | −0.00315489 | + | 0.00590238i | ||||
\(268\) | −8.15306 | + | 23.1371i | −0.498028 | + | 1.41332i | ||||
\(269\) | −11.8747 | − | 5.38038i | −0.724016 | − | 0.328047i | 0.0167047 | − | 0.999860i | \(-0.494682\pi\) |
−0.740721 | + | 0.671813i | \(0.765516\pi\) | |||||||
\(270\) | −3.06117 | + | 1.94881i | −0.186297 | + | 0.118601i | ||||
\(271\) | 1.39680 | + | 10.6098i | 0.0848498 | + | 0.644498i | 0.980038 | + | 0.198810i | \(0.0637077\pi\) |
−0.895188 | + | 0.445688i | \(0.852959\pi\) | |||||||
\(272\) | −16.2047 | + | 17.6392i | −0.982552 | + | 1.06953i | ||||
\(273\) | −0.112661 | + | 0.988038i | −0.00681856 | + | 0.0597988i | ||||
\(274\) | 0.724574 | − | 8.25169i | 0.0437731 | − | 0.498503i | ||||
\(275\) | 22.6049 | + | 3.73209i | 1.36313 | + | 0.225053i | ||||
\(276\) | −0.309296 | + | 0.123951i | −0.0186174 | + | 0.00746098i | ||||
\(277\) | 0.119139 | − | 0.510960i | 0.00715838 | − | 0.0307006i | −0.970177 | − | 0.242398i | \(-0.922066\pi\) |
0.977335 | + | 0.211698i | \(0.0678992\pi\) | |||||||
\(278\) | 10.4233 | − | 6.16596i | 0.625146 | − | 0.369810i | ||||
\(279\) | 0.464637 | + | 2.33589i | 0.0278171 | + | 0.139846i | ||||
\(280\) | 25.2893 | + | 17.5012i | 1.51132 | + | 1.04589i | ||||
\(281\) | 15.8205 | + | 3.14689i | 0.943771 | + | 0.187728i | 0.642911 | − | 0.765941i | \(-0.277726\pi\) |
0.300860 | + | 0.953668i | \(0.402726\pi\) | |||||||
\(282\) | 0.742007 | − | 1.54569i | 0.0441859 | − | 0.0920447i | ||||
\(283\) | 1.76396 | + | 10.6841i | 0.104856 | + | 0.635106i | 0.986572 | + | 0.163325i | \(0.0522219\pi\) |
−0.881716 | + | 0.471781i | \(0.843611\pi\) | |||||||
\(284\) | 14.3440 | − | 26.1062i | 0.851157 | − | 1.54912i | ||||
\(285\) | 0.388041 | + | 0.241299i | 0.0229855 | + | 0.0142933i | ||||
\(286\) | −1.06650 | − | 9.76689i | −0.0630637 | − | 0.577528i | ||||
\(287\) | −13.4617 | − | 13.0022i | −0.794622 | − | 0.767493i | ||||
\(288\) | 15.8985 | − | 5.75797i | 0.936829 | − | 0.339292i | ||||
\(289\) | 18.2156 | + | 4.88086i | 1.07151 | + | 0.287109i | ||||
\(290\) | −17.2903 | − | 44.5039i | −1.01532 | − | 2.61336i | ||||
\(291\) | 0.734372 | + | 0.0240409i | 0.0430497 | + | 0.00140930i | ||||
\(292\) | −3.01875 | − | 2.21640i | −0.176659 | − | 0.129705i | ||||
\(293\) | 18.6307 | − | 15.2898i | 1.08842 | − | 0.893242i | 0.0936708 | − | 0.995603i | \(-0.470140\pi\) |
0.994747 | + | 0.102362i | \(0.0326399\pi\) | |||||||
\(294\) | 0.155274 | − | 1.02028i | 0.00905577 | − | 0.0595036i | ||||
\(295\) | −31.0090 | − | 6.16808i | −1.80542 | − | 0.359120i | ||||
\(296\) | −8.11133 | + | 17.8567i | −0.471461 | + | 1.03790i | ||||
\(297\) | −1.13925 | − | 0.386724i | −0.0661061 | − | 0.0224400i | ||||
\(298\) | 7.56302 | − | 2.11260i | 0.438114 | − | 0.122379i | ||||
\(299\) | 3.93877 | − | 4.20538i | 0.227785 | − | 0.243203i | ||||
\(300\) | 1.21466 | + | 2.16110i | 0.0701286 | + | 0.124771i | ||||
\(301\) | −18.7128 | + | 23.6266i | −1.07859 | + | 1.36181i | ||||
\(302\) | 11.1900 | + | 13.3443i | 0.643909 | + | 0.767877i | ||||
\(303\) | 0.668372 | + | 0.512860i | 0.0383970 | + | 0.0294630i | ||||
\(304\) | −3.04554 | − | 2.98741i | −0.174674 | − | 0.171340i | ||||
\(305\) | 14.8512 | + | 19.3545i | 0.850378 | + | 1.10823i | ||||
\(306\) | −18.6577 | − | 17.1076i | −1.06659 | − | 0.977975i | ||||
\(307\) | −1.33798 | − | 13.5848i | −0.0763627 | − | 0.775323i | −0.954757 | − | 0.297387i | \(-0.903885\pi\) |
0.878394 | − | 0.477936i | \(-0.158615\pi\) | |||||||
\(308\) | 0.726075 | + | 10.1704i | 0.0413720 | + | 0.579511i | ||||
\(309\) | 0.513642 | − | 0.960956i | 0.0292201 | − | 0.0546669i | ||||
\(310\) | 4.58459 | − | 0.653038i | 0.260387 | − | 0.0370900i | ||||
\(311\) | −11.5028 | − | 23.3254i | −0.652265 | − | 1.32266i | −0.931956 | − | 0.362572i | \(-0.881899\pi\) |
0.279691 | − | 0.960090i | \(-0.409768\pi\) | |||||||
\(312\) | 0.752443 | − | 0.751008i | 0.0425987 | − | 0.0425175i | ||||
\(313\) | −4.20665 | + | 8.53024i | −0.237774 | + | 0.482157i | −0.982751 | − | 0.184932i | \(-0.940793\pi\) |
0.744978 | + | 0.667090i | \(0.232460\pi\) | |||||||
\(314\) | 3.47731 | + | 2.27057i | 0.196236 | + | 0.128136i | ||||
\(315\) | −18.4700 | + | 26.7438i | −1.04067 | + | 1.50684i | ||||
\(316\) | 1.19024 | − | 0.832285i | 0.0669561 | − | 0.0468197i | ||||
\(317\) | 2.36964 | + | 10.1628i | 0.133092 | + | 0.570801i | 0.997665 | + | 0.0682939i | \(0.0217556\pi\) |
−0.864573 | + | 0.502507i | \(0.832411\pi\) | |||||||
\(318\) | 1.12105 | + | 1.17181i | 0.0628653 | + | 0.0657118i | ||||
\(319\) | 7.91456 | − | 13.7084i | 0.443130 | − | 0.767524i | ||||
\(320\) | −9.48390 | − | 31.4804i | −0.530166 | − | 1.75981i | ||||
\(321\) | −1.17615 | −0.0656464 | ||||||||
\(322\) | −4.24835 | + | 4.20802i | −0.236751 | + | 0.234504i | ||||
\(323\) | −1.85393 | + | 6.11159i | −0.103155 | + | 0.340058i | ||||
\(324\) | 6.07889 | + | 16.7347i | 0.337716 | + | 0.929707i | ||||
\(325\) | −34.8452 | − | 24.9697i | −1.93286 | − | 1.38507i | ||||
\(326\) | 12.7338 | + | 25.1468i | 0.705263 | + | 1.39275i | ||||
\(327\) | 1.09180 | + | 0.538417i | 0.0603767 | + | 0.0297745i | ||||
\(328\) | 2.59262 | + | 19.8392i | 0.143153 | + | 1.09543i | ||||
\(329\) | 1.47895 | − | 30.7334i | 0.0815373 | − | 1.69439i | ||||
\(330\) | −0.435346 | + | 1.08333i | −0.0239650 | + | 0.0596352i | ||||
\(331\) | −0.448956 | − | 13.7142i | −0.0246769 | − | 0.753801i | −0.938014 | − | 0.346597i | \(-0.887337\pi\) |
0.913337 | − | 0.407204i | \(-0.133496\pi\) | |||||||
\(332\) | 16.5757 | + | 3.49650i | 0.909708 | + | 0.191895i | ||||
\(333\) | −18.8795 | − | 8.55418i | −1.03459 | − | 0.468766i | ||||
\(334\) | 7.10897 | + | 6.51833i | 0.388986 | + | 0.356667i | ||||
\(335\) | −19.2908 | + | 46.5721i | −1.05397 | + | 2.54450i | ||||
\(336\) | −0.809547 | + | 0.749571i | −0.0441644 | + | 0.0408925i | ||||
\(337\) | 6.18274 | + | 14.9265i | 0.336795 | + | 0.813096i | 0.998019 | + | 0.0629076i | \(0.0200373\pi\) |
−0.661224 | + | 0.750189i | \(0.729963\pi\) | |||||||
\(338\) | 0.000532025 | − | 0.00146028i | 2.89384e−5 | − | 7.94289e-5i | ||||
\(339\) | −0.441562 | − | 1.17320i | −0.0239824 | − | 0.0637196i | ||||
\(340\) | −35.2030 | + | 34.3995i | −1.90915 | + | 1.86557i | ||||
\(341\) | 1.12056 | + | 1.04952i | 0.0606820 | + | 0.0568349i | ||||
\(342\) | 3.15407 | − | 3.22160i | 0.170553 | − | 0.174204i | ||||
\(343\) | −4.55406 | − | 17.9516i | −0.245896 | − | 0.969296i | ||||
\(344\) | 31.3857 | − | 7.28654i | 1.69220 | − | 0.392864i | ||||
\(345\) | −0.648364 | + | 0.220090i | −0.0349067 | + | 0.0118492i | ||||
\(346\) | −20.7720 | − | 17.8309i | −1.11671 | − | 0.958598i | ||||
\(347\) | −0.792269 | − | 4.79870i | −0.0425312 | − | 0.257608i | 0.956934 | − | 0.290305i | \(-0.0937569\pi\) |
−0.999465 | + | 0.0326975i | \(0.989590\pi\) | |||||||
\(348\) | 1.69301 | − | 0.259477i | 0.0907548 | − | 0.0139094i | ||||
\(349\) | 6.82326 | + | 12.7654i | 0.365241 | + | 0.683317i | 0.995673 | − | 0.0929271i | \(-0.0296224\pi\) |
−0.630432 | + | 0.776244i | \(0.717122\pi\) | |||||||
\(350\) | 35.1653 | + | 27.2508i | 1.87966 | + | 1.45661i | ||||
\(351\) | 1.59176 | + | 1.59176i | 0.0849620 | + | 0.0849620i | ||||
\(352\) | 6.16866 | − | 8.98684i | 0.328791 | − | 0.479000i | ||||
\(353\) | −3.08020 | − | 11.4955i | −0.163943 | − | 0.611842i | −0.998173 | − | 0.0604255i | \(-0.980754\pi\) |
0.834230 | − | 0.551416i | \(-0.185912\pi\) | |||||||
\(354\) | 0.457127 | − | 1.03800i | 0.0242960 | − | 0.0551693i | ||||
\(355\) | 32.3225 | − | 51.9788i | 1.71550 | − | 2.75875i | ||||
\(356\) | 1.45176 | − | 1.51460i | 0.0769432 | − | 0.0802736i | ||||
\(357\) | 1.55566 | + | 0.554867i | 0.0823344 | + | 0.0293667i | ||||
\(358\) | −11.0164 | − | 16.1151i | −0.582233 | − | 0.851708i | ||||
\(359\) | −25.4673 | + | 8.64500i | −1.34411 | + | 0.456266i | −0.898506 | − | 0.438962i | \(-0.855346\pi\) |
−0.445609 | + | 0.895228i | \(0.647013\pi\) | |||||||
\(360\) | 33.2594 | − | 10.0545i | 1.75293 | − | 0.529918i | ||||
\(361\) | 16.9145 | + | 5.74171i | 0.890239 | + | 0.302195i | ||||
\(362\) | 1.84452 | − | 1.09114i | 0.0969458 | − | 0.0573491i | ||||
\(363\) | 0.726960 | − | 0.220521i | 0.0381555 | − | 0.0115743i | ||||
\(364\) | 7.19811 | − | 17.6679i | 0.377284 | − | 0.926052i | ||||
\(365\) | −5.94875 | − | 4.88201i | −0.311372 | − | 0.255536i | ||||
\(366\) | −0.793290 | + | 0.369610i | −0.0414659 | + | 0.0193198i | ||||
\(367\) | −4.65121 | + | 35.3295i | −0.242791 | + | 1.84418i | 0.242899 | + | 0.970052i | \(0.421902\pi\) |
−0.485690 | + | 0.874131i | \(0.661432\pi\) | |||||||
\(368\) | 6.35537 | − | 0.687844i | 0.331297 | − | 0.0358564i | ||||
\(369\) | −20.9637 | + | 2.75993i | −1.09133 | + | 0.143676i | ||||
\(370\) | −18.6205 | + | 35.7419i | −0.968035 | + | 1.85813i | ||||
\(371\) | 26.7127 | + | 11.5486i | 1.38686 | + | 0.599573i | ||||
\(372\) | −0.0127782 | + | 0.165635i | −0.000662518 | + | 0.00858775i | ||||
\(373\) | 0.826088 | + | 25.2344i | 0.0427732 | + | 1.30659i | 0.777784 | + | 0.628531i | \(0.216344\pi\) |
−0.735011 | + | 0.678055i | \(0.762823\pi\) | |||||||
\(374\) | −16.2002 | − | 1.95850i | −0.837692 | − | 0.101271i | ||||
\(375\) | 1.30561 | + | 2.64752i | 0.0674216 | + | 0.136717i | ||||
\(376\) | −21.7117 | + | 24.7098i | −1.11970 | + | 1.27431i | ||||
\(377\) | −24.6260 | + | 16.4546i | −1.26831 | + | 0.847455i | ||||
\(378\) | −1.58884 | − | 1.71268i | −0.0817209 | − | 0.0880909i | ||||
\(379\) | −16.1728 | − | 1.59288i | −0.830743 | − | 0.0818210i | −0.326300 | − | 0.945266i | \(-0.605802\pi\) |
−0.504443 | + | 0.863445i | \(0.668302\pi\) | |||||||
\(380\) | −5.91836 | − | 6.46701i | −0.303605 | − | 0.331751i | ||||
\(381\) | −0.329287 | + | 0.308411i | −0.0168699 | + | 0.0158004i | ||||
\(382\) | −21.4504 | − | 0.474876i | −1.09750 | − | 0.0242968i | ||||
\(383\) | 19.0186 | + | 32.9412i | 0.971804 | + | 1.68321i | 0.690101 | + | 0.723713i | \(0.257566\pi\) |
0.281703 | + | 0.959502i | \(0.409101\pi\) | |||||||
\(384\) | 1.17622 | − | 0.0873547i | 0.0600235 | − | 0.00445780i | ||||
\(385\) | 0.363811 | + | 20.9488i | 0.0185415 | + | 1.06765i | ||||
\(386\) | −10.4314 | + | 5.71854i | −0.530944 | + | 0.291066i | ||||
\(387\) | 7.73219 | + | 33.1616i | 0.393049 | + | 1.68570i | ||||
\(388\) | −13.4411 | − | 4.24737i | −0.682369 | − | 0.215627i | ||||
\(389\) | −21.6621 | − | 15.5228i | −1.09831 | − | 0.787038i | −0.119710 | − | 0.992809i | \(-0.538196\pi\) |
−0.978600 | + | 0.205771i | \(0.934030\pi\) | |||||||
\(390\) | 1.62708 | − | 1.45768i | 0.0823902 | − | 0.0738123i | ||||
\(391\) | −5.31671 | − | 7.95702i | −0.268878 | − | 0.402404i | ||||
\(392\) | −8.15223 | + | 18.0428i | −0.411750 | + | 0.911297i | ||||
\(393\) | 0.253859 | + | 0.169623i | 0.0128055 | + | 0.00855635i | ||||
\(394\) | −3.84281 | + | 5.11940i | −0.193598 | + | 0.257912i | ||||
\(395\) | 2.53438 | − | 1.57598i | 0.127518 | − | 0.0792960i | ||||
\(396\) | 9.50367 | + | 6.51009i | 0.477577 | + | 0.327144i | ||||
\(397\) | −5.33581 | + | 3.82359i | −0.267797 | + | 0.191901i | −0.708419 | − | 0.705792i | \(-0.750591\pi\) |
0.440622 | + | 0.897693i | \(0.354758\pi\) | |||||||
\(398\) | 12.0010 | + | 6.25216i | 0.601554 | + | 0.313393i | ||||
\(399\) | −0.107838 | + | 0.273693i | −0.00539867 | + | 0.0137018i | ||||
\(400\) | −11.2455 | − | 46.2113i | −0.562277 | − | 2.31056i | ||||
\(401\) | −12.0947 | − | 9.28059i | −0.603980 | − | 0.463450i | 0.260943 | − | 0.965354i | \(-0.415966\pi\) |
−0.864923 | + | 0.501904i | \(0.832633\pi\) | |||||||
\(402\) | −1.48100 | − | 1.03771i | −0.0738655 | − | 0.0517562i | ||||
\(403\) | −1.01190 | − | 2.68855i | −0.0504063 | − | 0.133926i | ||||
\(404\) | −9.69035 | − | 12.9352i | −0.482113 | − | 0.643551i | ||||
\(405\) | 10.6204 | + | 35.0108i | 0.527732 | + | 1.73970i | ||||
\(406\) | 26.1789 | − | 16.1064i | 1.29924 | − | 0.799349i | ||||
\(407\) | −13.1047 | + | 2.60669i | −0.649576 | + | 0.129209i | ||||
\(408\) | −0.930975 | − | 1.50032i | −0.0460901 | − | 0.0742769i | ||||
\(409\) | 9.09993 | + | 7.98042i | 0.449962 | + | 0.394606i | 0.854114 | − | 0.520086i | \(-0.174100\pi\) |
−0.404152 | + | 0.914692i | \(0.632433\pi\) | |||||||
\(410\) | 3.12326 | + | 40.9947i | 0.154247 | + | 2.02459i | ||||
\(411\) | 0.571484 | + | 0.215091i | 0.0281892 | + | 0.0106097i | ||||
\(412\) | −14.4649 | + | 15.0910i | −0.712636 | + | 0.743482i | ||||
\(413\) | 0.312625 | − | 20.3516i | 0.0153833 | − | 1.00143i | ||||
\(414\) | 0.733335 | + | 6.71577i | 0.0360415 | + | 0.330062i | ||||
\(415\) | 33.6243 | + | 9.00960i | 1.65055 | + | 0.442264i | ||||
\(416\) | −17.7888 | + | 9.97605i | −0.872170 | + | 0.489116i | ||||
\(417\) | 0.231057 | + | 0.862315i | 0.0113149 | + | 0.0422278i | ||||
\(418\) | 0.443042 | − | 2.87241i | 0.0216699 | − | 0.140494i | ||||
\(419\) | 4.85637 | − | 2.59579i | 0.237249 | − | 0.126812i | −0.348488 | − | 0.937313i | \(-0.613305\pi\) |
0.585738 | + | 0.810501i | \(0.300805\pi\) | |||||||
\(420\) | −1.74409 | + | 1.44841i | −0.0851028 | + | 0.0706750i | ||||
\(421\) | 4.05659 | + | 4.94297i | 0.197706 | + | 0.240906i | 0.862421 | − | 0.506191i | \(-0.168947\pi\) |
−0.664715 | + | 0.747097i | \(0.731447\pi\) | |||||||
\(422\) | −22.6362 | + | 7.95228i | −1.10191 | + | 0.387111i | ||||
\(423\) | −26.1357 | − | 22.9204i | −1.27076 | − | 1.11443i | ||||
\(424\) | −14.6397 | − | 27.4520i | −0.710968 | − | 1.33319i | ||||
\(425\) | −53.5304 | + | 46.9449i | −2.59661 | + | 2.27716i | ||||
\(426\) | 1.56902 | + | 1.53613i | 0.0760192 | + | 0.0744259i | ||||
\(427\) | −10.5354 | + | 11.6475i | −0.509846 | + | 0.563663i | ||||
\(428\) | 21.7263 | + | 6.09122i | 1.05018 | + | 0.294430i | ||||
\(429\) | 0.714581 | + | 0.117978i | 0.0345003 | + | 0.00569602i | ||||
\(430\) | 65.2065 | − | 11.4763i | 3.14454 | − | 0.553436i | ||||
\(431\) | 2.27618 | − | 17.2893i | 0.109640 | − | 0.832796i | −0.844944 | − | 0.534854i | \(-0.820367\pi\) |
0.954584 | − | 0.297942i | \(-0.0963001\pi\) | |||||||
\(432\) | 0.187348 | + | 2.49043i | 0.00901380 | + | 0.119821i | ||||
\(433\) | 3.43386 | + | 1.42235i | 0.165021 | + | 0.0683538i | 0.463665 | − | 0.886011i | \(-0.346534\pi\) |
−0.298644 | + | 0.954365i | \(0.596534\pi\) | |||||||
\(434\) | 0.944813 | + | 2.82757i | 0.0453525 | + | 0.135728i | ||||
\(435\) | 3.50259 | − | 0.344975i | 0.167936 | − | 0.0165403i | ||||
\(436\) | −17.3797 | − | 15.6002i | −0.832338 | − | 0.747115i | ||||
\(437\) | 1.44743 | − | 0.900067i | 0.0692398 | − | 0.0430560i | ||||
\(438\) | 0.217228 | − | 0.170370i | 0.0103795 | − | 0.00814059i | ||||
\(439\) | −12.1504 | − | 0.796378i | −0.579906 | − | 0.0380090i | −0.227372 | − | 0.973808i | \(-0.573013\pi\) |
−0.352534 | + | 0.935799i | \(0.614680\pi\) | |||||||
\(440\) | 13.6524 | − | 17.7570i | 0.650851 | − | 0.846532i | ||||
\(441\) | −19.0761 | − | 8.59722i | −0.908387 | − | 0.409392i | ||||
\(442\) | 25.5651 | + | 16.6932i | 1.21601 | + | 0.794012i | ||||
\(443\) | −8.58691 | + | 3.89068i | −0.407976 | + | 0.184852i | −0.606213 | − | 0.795303i | \(-0.707312\pi\) |
0.198236 | + | 0.980154i | \(0.436479\pi\) | |||||||
\(444\) | −1.10693 | − | 0.930024i | −0.0525325 | − | 0.0441370i | ||||
\(445\) | 3.14654 | − | 2.94706i | 0.149160 | − | 0.139704i | ||||
\(446\) | −4.21517 | − | 17.2497i | −0.199594 | − | 0.816799i | ||||
\(447\) | 0.578857i | 0.0273790i | ||||||||
\(448\) | 18.8363 | − | 9.65377i | 0.889930 | − | 0.456098i | ||||
\(449\) | 10.9674i | 0.517581i | 0.965933 | + | 0.258791i | \(0.0833240\pi\) | ||||
−0.965933 | + | 0.258791i | \(0.916676\pi\) | |||||||
\(450\) | 48.8255 | − | 11.9311i | 2.30166 | − | 0.562436i | ||||
\(451\) | −9.94853 | + | 9.31782i | −0.468458 | + | 0.438759i | ||||
\(452\) | 2.08075 | + | 23.9587i | 0.0978704 | + | 1.12692i | ||||
\(453\) | −1.16934 | + | 0.529820i | −0.0549403 | + | 0.0248931i | ||||
\(454\) | 7.07192 | − | 10.8304i | 0.331902 | − | 0.508297i | ||||
\(455\) | 16.7258 | − | 35.4557i | 0.784118 | − | 1.66219i | ||||
\(456\) | 0.272500 | − | 0.156981i | 0.0127610 | − | 0.00735132i | ||||
\(457\) | 31.6513 | + | 2.07454i | 1.48059 | + | 0.0970427i | 0.784148 | − | 0.620574i | \(-0.213100\pi\) |
0.696438 | + | 0.717617i | \(0.254767\pi\) | |||||||
\(458\) | 4.33862 | + | 5.53190i | 0.202730 | + | 0.258489i | ||||
\(459\) | 3.17501 | − | 1.97435i | 0.148197 | − | 0.0921548i | ||||
\(460\) | 13.1167 | − | 0.707744i | 0.611567 | − | 0.0329987i | ||||
\(461\) | 2.95525 | − | 0.291067i | 0.137640 | − | 0.0135563i | −0.0289626 | − | 0.999580i | \(-0.509220\pi\) |
0.166602 | + | 0.986024i | \(0.446720\pi\) | |||||||
\(462\) | −0.736477 | − | 0.150150i | −0.0342640 | − | 0.00698559i | ||||
\(463\) | 19.3994 | + | 8.03549i | 0.901566 | + | 0.373441i | 0.784822 | − | 0.619721i | \(-0.212754\pi\) |
0.116744 | + | 0.993162i | \(0.462754\pi\) | |||||||
\(464\) | −32.6177 | − | 3.97485i | −1.51424 | − | 0.184528i | ||||
\(465\) | −0.0445576 | + | 0.338448i | −0.00206631 | + | 0.0156952i | ||||
\(466\) | 2.61179 | + | 14.8398i | 0.120989 | + | 0.687442i | ||||
\(467\) | −15.0084 | − | 2.47789i | −0.694505 | − | 0.114663i | −0.194779 | − | 0.980847i | \(-0.562399\pi\) |
−0.499725 | + | 0.866184i | \(0.666566\pi\) | |||||||
\(468\) | −10.5608 | − | 18.7895i | −0.488173 | − | 0.868545i | ||||
\(469\) | −31.7277 | − | 6.81924i | −1.46505 | − | 0.314883i | ||||
\(470\) | −47.2857 | + | 48.2980i | −2.18113 | + | 2.22782i | ||||
\(471\) | −0.230168 | + | 0.201852i | −0.0106056 | + | 0.00930085i | ||||
\(472\) | −13.8200 | + | 16.8070i | −0.636117 | + | 0.773604i | ||||
\(473\) | 16.5034 | + | 14.4731i | 0.758826 | + | 0.665473i | ||||
\(474\) | 0.0354858 | + | 0.101010i | 0.00162992 | + | 0.00463956i | ||||
\(475\) | −8.04479 | − | 9.80261i | −0.369120 | − | 0.449775i | ||||
\(476\) | −25.8632 | − | 18.3064i | −1.18544 | − | 0.839073i | ||||
\(477\) | 28.9969 | − | 15.4992i | 1.32768 | − | 0.709659i | ||||
\(478\) | 14.8759 | + | 2.29446i | 0.680406 | + | 0.104946i | ||||
\(479\) | 7.24868 | + | 27.0524i | 0.331201 | + | 1.23606i | 0.907930 | + | 0.419122i | \(0.137662\pi\) |
−0.576729 | + | 0.816935i | \(0.695671\pi\) | |||||||
\(480\) | 2.42313 | − | 0.0490172i | 0.110600 | − | 0.00223732i | ||||
\(481\) | 24.1484 | + | 6.47055i | 1.10107 | + | 0.295032i | ||||
\(482\) | 14.4019 | − | 1.57263i | 0.655987 | − | 0.0716311i | ||||
\(483\) | −0.214507 | − | 0.385079i | −0.00976043 | − | 0.0175217i | ||||
\(484\) | −14.5708 | + | 0.308661i | −0.662307 | + | 0.0140300i | ||||
\(485\) | −27.1094 | − | 10.2032i | −1.23097 | − | 0.463305i | ||||
\(486\) | −3.95000 | + | 0.300939i | −0.179176 | + | 0.0136509i | ||||
\(487\) | −2.88181 | − | 2.52728i | −0.130587 | − | 0.114522i | 0.591561 | − | 0.806260i | \(-0.298512\pi\) |
−0.722148 | + | 0.691738i | \(0.756845\pi\) | |||||||
\(488\) | 16.5681 | − | 2.71917i | 0.750005 | − | 0.123091i | ||||
\(489\) | −2.03791 | + | 0.405366i | −0.0921576 | + | 0.0183313i | ||||
\(490\) | −18.7251 | + | 36.1191i | −0.845912 | + | 1.63170i | ||||
\(491\) | −6.72155 | − | 22.1580i | −0.303340 | − | 0.999976i | −0.967603 | − | 0.252478i | \(-0.918755\pi\) |
0.664263 | − | 0.747499i | \(-0.268745\pi\) | |||||||
\(492\) | −1.45996 | − | 0.209381i | −0.0658200 | − | 0.00943961i | ||||
\(493\) | 17.3277 | + | 46.0385i | 0.780399 | + | 2.07347i | ||||
\(494\) | −3.12056 | + | 4.45360i | −0.140400 | + | 0.200377i | ||||
\(495\) | 18.7797 | + | 14.4102i | 0.844084 | + | 0.647688i | ||||
\(496\) | 1.09386 | − | 2.99349i | 0.0491156 | − | 0.134412i | ||||
\(497\) | 36.6617 | + | 14.4452i | 1.64450 | + | 0.647955i | ||||
\(498\) | −0.576975 | + | 1.10750i | −0.0258549 | + | 0.0496282i | ||||
\(499\) | −7.54830 | + | 5.40903i | −0.337908 | + | 0.242142i | −0.738710 | − | 0.674023i | \(-0.764565\pi\) |
0.400802 | + | 0.916165i | \(0.368731\pi\) | |||||||
\(500\) | −10.4064 | − | 55.6677i | −0.465389 | − | 2.48954i | ||||
\(501\) | −0.603775 | + | 0.375451i | −0.0269747 | + | 0.0167739i | ||||
\(502\) | −21.2878 | − | 15.9794i | −0.950123 | − | 0.713197i | ||||
\(503\) | 18.5656 | + | 12.4051i | 0.827799 | + | 0.553118i | 0.895743 | − | 0.444571i | \(-0.146644\pi\) |
−0.0679443 | + | 0.997689i | \(0.521644\pi\) | |||||||
\(504\) | 10.2213 | + | 19.8968i | 0.455291 | + | 0.886272i | ||||
\(505\) | −18.4514 | − | 27.6144i | −0.821076 | − | 1.22883i | ||||
\(506\) | 2.90596 | + | 3.24366i | 0.129185 | + | 0.144198i | ||||
\(507\) | 9.31261e−5 | 0 | 6.67332e-5i | 4.13587e−6 | 0 | 2.96373e-6i | ||||
\(508\) | 7.67996 | − | 3.99172i | 0.340743 | − | 0.177104i | ||||
\(509\) | 0.376213 | + | 1.61349i | 0.0166753 | + | 0.0715166i | 0.981558 | − | 0.191165i | \(-0.0612265\pi\) |
−0.964883 | + | 0.262681i | \(0.915393\pi\) | |||||||
\(510\) | −1.74415 | − | 3.18156i | −0.0772321 | − | 0.140882i | ||||
\(511\) | 2.40223 | − | 4.33284i | 0.106269 | − | 0.191674i | ||||
\(512\) | −22.1799 | − | 4.47791i | −0.980223 | − | 0.197897i | ||||
\(513\) | 0.332955 | + | 0.576695i | 0.0147003 | + | 0.0254617i | ||||
\(514\) | 0.545603 | − | 24.6452i | 0.0240655 | − | 1.08705i | ||||
\(515\) | −31.3512 | + | 29.3636i | −1.38150 | + | 1.29391i | ||||
\(516\) | −0.105112 | + | 2.37283i | −0.00462732 | + | 0.104458i | ||||
\(517\) | −22.3012 | − | 2.19648i | −0.980807 | − | 0.0966011i | ||||
\(518\) | −24.7917 | − | 7.64981i | −1.08929 | − | 0.336113i | ||||
\(519\) | 1.67791 | − | 1.12115i | 0.0736523 | − | 0.0492129i | ||||
\(520\) | −37.6052 | + | 18.5002i | −1.64910 | + | 0.811289i | ||||
\(521\) | 14.7235 | + | 29.8563i | 0.645048 | + | 1.30803i | 0.936239 | + | 0.351363i | \(0.114282\pi\) |
−0.291192 | + | 0.956665i | \(0.594052\pi\) | |||||||
\(522\) | 4.16780 | − | 34.4750i | 0.182420 | − | 1.50893i | ||||
\(523\) | 1.21684 | + | 37.1705i | 0.0532085 | + | 1.62535i | 0.608401 | + | 0.793629i | \(0.291811\pi\) |
−0.555193 | + | 0.831722i | \(0.687356\pi\) | |||||||
\(524\) | −3.81091 | − | 4.44806i | −0.166480 | − | 0.194315i | ||||
\(525\) | −2.63215 | + | 1.95623i | −0.114877 | + | 0.0853769i | ||||
\(526\) | −13.0106 | − | 6.77815i | −0.567289 | − | 0.295541i | ||||
\(527\) | −4.73038 | + | 0.622766i | −0.206059 | + | 0.0271281i | ||||
\(528\) | 0.515711 | + | 0.616191i | 0.0224434 | + | 0.0268163i | ||||
\(529\) | 2.66874 | − | 20.2711i | 0.116032 | − | 0.881352i | ||||
\(530\) | −26.9997 | − | 57.9491i | −1.17279 | − | 2.51715i | ||||
\(531\) | −17.7758 | − | 14.5883i | −0.771406 | − | 0.633077i | ||||
\(532\) | 3.40947 | − | 4.49727i | 0.147819 | − | 0.194981i | ||||
\(533\) | 24.4058 | − | 7.40343i | 1.05713 | − | 0.320678i | ||||
\(534\) | 0.0787422 | + | 0.133110i | 0.00340751 | + | 0.00576023i | ||||
\(535\) | 43.9055 | + | 14.9039i | 1.89820 | + | 0.644353i | ||||
\(536\) | 21.9833 | + | 26.8390i | 0.949536 | + | 1.15927i | ||||
\(537\) | 1.36262 | − | 0.462546i | 0.0588012 | − | 0.0199603i | ||||
\(538\) | −15.2203 | + | 10.4047i | −0.656195 | + | 0.448579i | ||||
\(539\) | −13.2239 | + | 2.65797i | −0.569594 | + | 0.114487i | ||||
\(540\) | 0.108689 | + | 5.13083i | 0.00467724 | + | 0.220796i | ||||
\(541\) | 6.53667 | − | 10.5118i | 0.281033 | − | 0.451939i | −0.678069 | − | 0.734998i | \(-0.737183\pi\) |
0.959102 | + | 0.283060i | \(0.0913495\pi\) | |||||||
\(542\) | 13.8504 | + | 6.09956i | 0.594924 | + | 0.261999i | ||||
\(543\) | 0.0408882 | + | 0.152597i | 0.00175468 | + | 0.00654856i | ||||
\(544\) | 9.42725 | + | 32.5360i | 0.404190 | + | 1.39497i | ||||
\(545\) | −33.9341 | − | 33.9341i | −1.45358 | − | 1.45358i | ||||
\(546\) | 1.11164 | + | 0.861444i | 0.0475737 | + | 0.0368664i | ||||
\(547\) | −11.3090 | − | 21.1576i | −0.483537 | − | 0.904635i | −0.998865 | − | 0.0476412i | \(-0.984830\pi\) |
0.515327 | − | 0.856994i | \(-0.327670\pi\) | |||||||
\(548\) | −9.44273 | − | 6.93294i | −0.403373 | − | 0.296160i | ||||
\(549\) | 2.89038 | + | 17.5068i | 0.123358 | + | 0.747170i | ||||
\(550\) | 21.1043 | − | 24.5852i | 0.899889 | − | 1.04832i | ||||
\(551\) | −8.29637 | + | 2.81624i | −0.353437 | + | 0.119976i | ||||
\(552\) | −0.0772046 | + | 0.464861i | −0.00328605 | + | 0.0197858i | ||||
\(553\) | 1.29169 | + | 1.42229i | 0.0549283 | + | 0.0604821i | ||||
\(554\) | −0.530193 | − | 0.519081i | −0.0225257 | − | 0.0220536i | ||||
\(555\) | −2.16832 | − | 2.03086i | −0.0920402 | − | 0.0862051i | ||||
\(556\) | 0.197716 | − | 17.1257i | 0.00838502 | − | 0.726289i | ||||
\(557\) | 13.3760 | + | 35.5392i | 0.566759 | + | 1.50584i | 0.839283 | + | 0.543695i | \(0.182975\pi\) |
−0.272524 | + | 0.962149i | \(0.587858\pi\) | |||||||
\(558\) | 3.16467 | + | 1.15299i | 0.133971 | + | 0.0488098i | ||||
\(559\) | −15.7173 | − | 37.9450i | −0.664772 | − | 1.60490i | ||||
\(560\) | 39.7187 | − | 17.7230i | 1.67842 | − | 0.748933i | ||||
\(561\) | 0.460333 | − | 1.11134i | 0.0194353 | − | 0.0469209i | ||||
\(562\) | 15.4168 | − | 16.8138i | 0.650320 | − | 0.709246i | ||||
\(563\) | 21.2752 | + | 9.63969i | 0.896645 | + | 0.406264i | 0.807578 | − | 0.589761i | \(-0.200778\pi\) |
0.0890671 | + | 0.996026i | \(0.471611\pi\) | |||||||
\(564\) | −1.32376 | − | 2.03154i | −0.0557405 | − | 0.0855431i | ||||
\(565\) | 1.61689 | + | 49.3908i | 0.0680230 | + | 2.07789i | ||||
\(566\) | 14.2097 | + | 5.71032i | 0.597280 | + | 0.240023i | ||||
\(567\) | −20.9402 | + | 10.7826i | −0.879407 | + | 0.452826i | ||||
\(568\) | −21.0280 | − | 36.5019i | −0.882314 | − | 1.53159i | ||||
\(569\) | 30.4391 | + | 15.0109i | 1.27607 | + | 0.629290i | 0.948871 | − | 0.315664i | \(-0.102227\pi\) |
0.327203 | + | 0.944954i | \(0.393894\pi\) | |||||||
\(570\) | 0.576519 | − | 0.291938i | 0.0241477 | − | 0.0122279i | ||||
\(571\) | 12.3540 | + | 8.85275i | 0.516999 | + | 0.370476i | 0.810738 | − | 0.585410i | \(-0.199066\pi\) |
−0.293739 | + | 0.955886i | \(0.594900\pi\) | |||||||
\(572\) | −12.5890 | − | 5.88011i | −0.526373 | − | 0.245860i | ||||
\(573\) | 0.459121 | − | 1.51352i | 0.0191801 | − | 0.0632282i | ||||
\(574\) | −25.5984 | + | 6.72837i | −1.06846 | + | 0.280837i | ||||
\(575\) | 19.0016 | 0.792423 | ||||||||
\(576\) | 4.70996 | − | 23.4446i | 0.196248 | − | 0.976859i | ||||
\(577\) | 1.69325 | − | 2.93279i | 0.0704907 | − | 0.122094i | −0.828626 | − | 0.559803i | \(-0.810877\pi\) |
0.899116 | + | 0.437709i | \(0.144210\pi\) | |||||||
\(578\) | 19.2710 | − | 18.4362i | 0.801566 | − | 0.766844i | ||||
\(579\) | −0.199129 | − | 0.854020i | −0.00827554 | − | 0.0354918i | ||||
\(580\) | −66.4878 | − | 11.7672i | −2.76076 | − | 0.488607i | ||||
\(581\) | −1.80899 | + | 22.3370i | −0.0750494 | + | 0.926693i | ||||
\(582\) | 0.568120 | − | 0.870058i | 0.0235493 | − | 0.0360651i | ||||
\(583\) | 9.37443 | − | 19.0095i | 0.388249 | − | 0.787292i | ||||
\(584\) | −4.89505 | + | 2.02213i | −0.202559 | + | 0.0836762i | ||||
\(585\) | −19.5893 | − | 39.7232i | −0.809918 | − | 1.64235i | ||||
\(586\) | −4.80656 | − | 33.7441i | −0.198557 | − | 1.39395i | ||||
\(587\) | −9.18432 | + | 17.1826i | −0.379077 | + | 0.709204i | −0.997030 | − | 0.0770113i | \(-0.975462\pi\) |
0.617953 | + | 0.786215i | \(0.287962\pi\) | |||||||
\(588\) | −1.11933 | − | 0.936618i | −0.0461602 | − | 0.0386255i | ||||
\(589\) | −0.0832934 | − | 0.845692i | −0.00343204 | − | 0.0348461i | ||||
\(590\) | −30.2178 | + | 32.9559i | −1.24405 | + | 1.35677i | ||||
\(591\) | −0.287257 | − | 0.374360i | −0.0118162 | − | 0.0153991i | ||||
\(592\) | 15.6311 | + | 22.9125i | 0.642433 | + | 0.941698i | ||||
\(593\) | −3.00179 | − | 2.30336i | −0.123269 | − | 0.0945876i | 0.545287 | − | 0.838249i | \(-0.316421\pi\) |
−0.668556 | + | 0.743662i | \(0.733087\pi\) | |||||||
\(594\) | −1.30373 | + | 1.09325i | −0.0534926 | + | 0.0448566i | ||||
\(595\) | −51.0415 | − | 40.4261i | −2.09250 | − | 1.65731i | ||||
\(596\) | 2.99787 | − | 10.6929i | 0.122797 | − | 0.437997i | ||||
\(597\) | −0.681895 | + | 0.728052i | −0.0279081 | + | 0.0297972i | ||||
\(598\) | −2.19222 | − | 7.84808i | −0.0896467 | − | 0.320932i | ||||
\(599\) | 20.9083 | + | 7.09743i | 0.854292 | + | 0.289993i | 0.714025 | − | 0.700121i | \(-0.246870\pi\) |
0.140267 | + | 0.990114i | \(0.455204\pi\) | |||||||
\(600\) | 3.50393 | + | 0.118054i | 0.143048 | + | 0.00481955i | ||||
\(601\) | −21.7505 | − | 4.32643i | −0.887219 | − | 0.176479i | −0.269615 | − | 0.962968i | \(-0.586897\pi\) |
−0.617604 | + | 0.786489i | \(0.711897\pi\) | |||||||
\(602\) | 14.8237 | + | 39.9628i | 0.604169 | + | 1.62876i | ||||
\(603\) | −28.3417 | + | 23.2594i | −1.15416 | + | 0.947198i | ||||
\(604\) | 24.3444 | − | 3.73110i | 0.990559 | − | 0.151817i | ||||
\(605\) | −29.9317 | − | 0.979862i | −1.21690 | − | 0.0398371i | ||||
\(606\) | 1.11055 | − | 0.431464i | 0.0451132 | − | 0.0175270i | ||||
\(607\) | 16.9343 | + | 4.53752i | 0.687340 | + | 0.184172i | 0.585553 | − | 0.810634i | \(-0.300877\pi\) |
0.101787 | + | 0.994806i | \(0.467544\pi\) | |||||||
\(608\) | −5.84672 | + | 1.48856i | −0.237116 | + | 0.0603690i | ||||
\(609\) | 0.624345 | + | 2.17808i | 0.0252997 | + | 0.0882601i | ||||
\(610\) | 34.2970 | − | 3.74509i | 1.38864 | − | 0.151634i | ||||
\(611\) | 35.6064 | + | 22.1415i | 1.44048 | + | 0.895748i | ||||
\(612\) | −34.3751 | + | 9.99569i | −1.38953 | + | 0.404052i | ||||
\(613\) | −3.67935 | − | 22.2855i | −0.148608 | − | 0.900102i | −0.952324 | − | 0.305090i | \(-0.901314\pi\) |
0.803716 | − | 0.595013i | \(-0.202853\pi\) | |||||||
\(614\) | −17.4033 | − | 8.35442i | −0.702341 | − | 0.337157i | ||||
\(615\) | −2.97249 | − | 0.591265i | −0.119862 | − | 0.0238421i | ||||
\(616\) | 12.8269 | + | 6.58779i | 0.516809 | + | 0.265430i | ||||
\(617\) | 4.28218 | + | 21.5280i | 0.172394 | + | 0.866683i | 0.966058 | + | 0.258326i | \(0.0831709\pi\) |
−0.793664 | + | 0.608357i | \(0.791829\pi\) | |||||||
\(618\) | −0.784565 | − | 1.32627i | −0.0315598 | − | 0.0533503i | ||||
\(619\) | −1.42743 | + | 6.12190i | −0.0573731 | + | 0.246060i | −0.994761 | − | 0.102227i | \(-0.967403\pi\) |
0.937388 | + | 0.348287i | \(0.113237\pi\) | |||||||
\(620\) | 2.57589 | − | 6.02119i | 0.103450 | − | 0.241817i | ||||
\(621\) | −0.984488 | − | 0.162540i | −0.0395061 | − | 0.00652249i | ||||
\(622\) | −36.6391 | − | 3.21725i | −1.46910 | − | 0.129000i | ||||
\(623\) | 2.23088 | + | 1.65107i | 0.0893783 | + | 0.0661487i | ||||
\(624\) | −0.355491 | − | 1.46082i | −0.0142310 | − | 0.0584796i | ||||
\(625\) | −7.42977 | − | 56.4347i | −0.297191 | − | 2.25739i | ||||
\(626\) | 7.22345 | + | 11.3465i | 0.288707 | + | 0.453498i | ||||
\(627\) | 0.195149 | + | 0.0884210i | 0.00779351 | + | 0.00353119i | ||||
\(628\) | 5.29713 | − | 2.53666i | 0.211379 | − | 0.101224i | ||||
\(629\) | 19.5737 | − | 36.6198i | 0.780453 | − | 1.46013i | ||||
\(630\) | 18.7700 | + | 41.9575i | 0.747815 | + | 1.67163i | ||||
\(631\) | −1.89496 | + | 2.83601i | −0.0754372 | + | 0.112900i | −0.867270 | − | 0.497838i | \(-0.834127\pi\) |
0.791833 | + | 0.610738i | \(0.209127\pi\) | |||||||
\(632\) | −0.132379 | − | 2.04968i | −0.00526576 | − | 0.0815320i | ||||
\(633\) | −0.115674 | − | 1.76484i | −0.00459761 | − | 0.0701460i | ||||
\(634\) | 14.0242 | + | 4.59552i | 0.556971 | + | 0.182511i | ||||
\(635\) | 16.2003 | − | 7.34028i | 0.642891 | − | 0.291290i | ||||
\(636\) | 2.23937 | − | 0.494962i | 0.0887969 | − | 0.0196265i | ||||
\(637\) | 24.3909 | + | 6.48313i | 0.966402 | + | 0.256871i | ||||
\(638\) | −10.7611 | − | 19.6296i | −0.426034 | − | 0.777144i | ||||
\(639\) | 38.5546 | − | 22.2595i | 1.52520 | − | 0.880573i | ||||
\(640\) | −45.0149 | − | 11.6438i | −1.77937 | − | 0.460262i | ||||
\(641\) | −10.2616 | + | 17.7736i | −0.405308 | + | 0.702014i | −0.994357 | − | 0.106083i | \(-0.966169\pi\) |
0.589050 | + | 0.808097i | \(0.299502\pi\) | |||||||
\(642\) | −0.863343 | + | 1.42173i | −0.0340734 | + | 0.0561110i | ||||
\(643\) | 8.24347 | − | 27.1751i | 0.325091 | − | 1.07168i | −0.630304 | − | 0.776348i | \(-0.717070\pi\) |
0.955395 | − | 0.295332i | \(-0.0954302\pi\) | |||||||
\(644\) | 1.96816 | + | 8.22424i | 0.0775565 | + | 0.324081i | ||||
\(645\) | −0.478386 | + | 4.85714i | −0.0188364 | + | 0.191250i | ||||
\(646\) | 6.02680 | + | 6.72718i | 0.237121 | + | 0.264677i | ||||
\(647\) | −14.1244 | + | 0.925764i | −0.555289 | + | 0.0363955i | −0.340465 | − | 0.940257i | \(-0.610584\pi\) |
−0.214824 | + | 0.976653i | \(0.568918\pi\) | |||||||
\(648\) | 24.6910 | + | 4.93585i | 0.969954 | + | 0.193898i | ||||
\(649\) | −14.7921 | − | 0.969528i | −0.580642 | − | 0.0380573i | ||||
\(650\) | −55.7611 | + | 23.7919i | −2.18713 | + | 0.933195i | ||||
\(651\) | −0.219489 | + | 0.0110034i | −0.00860246 | + | 0.000431257i | ||||
\(652\) | 39.7445 | + | 3.06616i | 1.55651 | + | 0.120080i | ||||
\(653\) | 11.8988 | + | 16.6047i | 0.465635 | + | 0.649792i | 0.977909 | − | 0.209029i | \(-0.0670304\pi\) |
−0.512275 | + | 0.858822i | \(0.671197\pi\) | |||||||
\(654\) | 1.45226 | − | 0.924543i | 0.0567879 | − | 0.0361525i | ||||
\(655\) | −7.32709 | − | 9.54885i | −0.286293 | − | 0.373104i | ||||
\(656\) | 25.8845 | + | 11.4288i | 1.01062 | + | 0.446220i | ||||
\(657\) | −2.14196 | − | 5.17114i | −0.0835656 | − | 0.201745i | ||||
\(658\) | −36.0647 | − | 24.3473i | −1.40595 | − | 0.949156i | ||||
\(659\) | 29.8567 | − | 36.3805i | 1.16305 | − | 1.41718i | 0.272586 | − | 0.962131i | \(-0.412121\pi\) |
0.890465 | − | 0.455051i | \(-0.150379\pi\) | |||||||
\(660\) | 0.989958 | + | 1.32145i | 0.0385341 | + | 0.0514374i | ||||
\(661\) | −7.16230 | − | 1.67001i | −0.278581 | − | 0.0649560i | 0.0854511 | − | 0.996342i | \(-0.472767\pi\) |
−0.364032 | + | 0.931386i | \(0.618600\pi\) | |||||||
\(662\) | −16.9072 | − | 9.52409i | −0.657117 | − | 0.370164i | ||||
\(663\) | −1.69219 | + | 1.48401i | −0.0657192 | + | 0.0576342i | ||||
\(664\) | 16.3938 | − | 17.4700i | 0.636202 | − | 0.677968i | ||||
\(665\) | 7.49376 | − | 8.85040i | 0.290596 | − | 0.343204i | ||||
\(666\) | −24.1986 | + | 16.5423i | −0.937675 | + | 0.641001i | ||||
\(667\) | 4.62441 | − | 12.2868i | 0.179058 | − | 0.475745i | ||||
\(668\) | 13.0976 | − | 3.80856i | 0.506761 | − | 0.147358i | ||||
\(669\) | 1.30829 | + | 0.0428291i | 0.0505816 | + | 0.00165587i | ||||
\(670\) | 42.1358 | + | 57.5044i | 1.62785 | + | 2.22159i | ||||
\(671\) | 8.08811 | + | 8.08811i | 0.312238 | + | 0.312238i | ||||
\(672\) | 0.311837 | + | 1.52879i | 0.0120294 | + | 0.0589744i | ||||
\(673\) | 7.16481 | − | 7.16481i | 0.276183 | − | 0.276183i | −0.555400 | − | 0.831583i | \(-0.687435\pi\) |
0.831583 | + | 0.555400i | \(0.187435\pi\) | |||||||
\(674\) | 22.5814 | + | 3.48297i | 0.869803 | + | 0.134159i | ||||
\(675\) | −0.242897 | + | 7.41974i | −0.00934911 | + | 0.285586i | ||||
\(676\) | −0.00137465 | − | 0.00171502i | −5.28713e−5 | − | 6.59622e-5i | ||||
\(677\) | 6.16075 | + | 2.31874i | 0.236777 | + | 0.0891165i | 0.467809 | − | 0.883830i | \(-0.345044\pi\) |
−0.231032 | + | 0.972946i | \(0.574210\pi\) | |||||||
\(678\) | −1.74228 | − | 0.327420i | −0.0669120 | − | 0.0125745i | ||||
\(679\) | 3.31983 | − | 18.3497i | 0.127403 | − | 0.704195i | ||||
\(680\) | 15.7414 | + | 67.8038i | 0.603656 | + | 2.60016i | ||||
\(681\) | 0.628689 | + | 0.716882i | 0.0240914 | + | 0.0274710i | ||||
\(682\) | 2.09120 | − | 0.584140i | 0.0800761 | − | 0.0223679i | ||||
\(683\) | −1.17790 | + | 5.05173i | −0.0450711 | + | 0.193299i | −0.991605 | − | 0.129306i | \(-0.958725\pi\) |
0.946534 | + | 0.322605i | \(0.104558\pi\) | |||||||
\(684\) | −1.57903 | − | 6.17741i | −0.0603757 | − | 0.236199i | ||||
\(685\) | −18.6078 | − | 15.2710i | −0.710969 | − | 0.583477i | ||||
\(686\) | −25.0427 | − | 7.67229i | −0.956134 | − | 0.292929i | ||||
\(687\) | −0.478798 | + | 0.198325i | −0.0182673 | + | 0.00756655i | ||||
\(688\) | 14.2304 | − | 43.2874i | 0.542530 | − | 1.65032i | ||||
\(689\) | −31.4628 | + | 24.1423i | −1.19864 | + | 0.919747i | ||||
\(690\) | −0.209882 | + | 0.945293i | −0.00799007 | + | 0.0359867i | ||||
\(691\) | −21.2304 | + | 15.2135i | −0.807643 | + | 0.578749i | −0.909334 | − | 0.416067i | \(-0.863408\pi\) |
0.101691 | + | 0.994816i | \(0.467575\pi\) | |||||||
\(692\) | −36.8014 | + | 12.0204i | −1.39898 | + | 0.456948i | ||||
\(693\) | −6.94916 | + | 13.5623i | −0.263977 | + | 0.515189i | ||||
\(694\) | −6.38220 | − | 2.56475i | −0.242265 | − | 0.0973567i | ||||
\(695\) | 2.30176 | − | 35.1180i | 0.0873106 | − | 1.33210i | ||||
\(696\) | 0.929084 | − | 2.23697i | 0.0352168 | − | 0.0847920i | ||||
\(697\) | −2.77044 | − | 42.2687i | −0.104938 | − | 1.60104i | ||||
\(698\) | 20.4393 | + | 1.12242i | 0.773640 | + | 0.0424842i | ||||
\(699\) | −1.10540 | − | 0.108872i | −0.0418099 | − | 0.00411792i | ||||
\(700\) | 58.7533 | − | 22.5045i | 2.22067 | − | 0.850589i | ||||
\(701\) | 10.9953 | + | 3.33537i | 0.415285 | + | 0.125975i | 0.491011 | − | 0.871153i | \(-0.336627\pi\) |
−0.0757261 | + | 0.997129i | \(0.524127\pi\) | |||||||
\(702\) | 3.09253 | − | 0.755696i | 0.116720 | − | 0.0285219i | ||||
\(703\) | 6.40468 | + | 3.69774i | 0.241557 | + | 0.139463i | ||||
\(704\) | −6.33519 | − | 14.0534i | −0.238766 | − | 0.529656i | ||||
\(705\) | −2.49129 | − | 4.31504i | −0.0938274 | − | 0.162514i | ||||
\(706\) | −16.1566 | − | 4.71481i | −0.608064 | − | 0.177444i | ||||
\(707\) | 15.3489 | − | 14.8845i | 0.577257 | − | 0.559790i | ||||
\(708\) | −0.919184 | − | 1.31451i | −0.0345451 | − | 0.0494023i | ||||
\(709\) | −6.10574 | − | 13.4757i | −0.229306 | − | 0.506089i | 0.760356 | − | 0.649506i | \(-0.225024\pi\) |
−0.989662 | + | 0.143417i | \(0.954191\pi\) | |||||||
\(710\) | −39.1057 | − | 77.2259i | −1.46761 | − | 2.89823i | ||||
\(711\) | 2.16601 | − | 0.141968i | 0.0812316 | − | 0.00532420i | ||||
\(712\) | −0.765188 | − | 2.86666i | −0.0286766 | − | 0.107433i | ||||
\(713\) | 1.05874 | + | 0.707428i | 0.0396501 | + | 0.0264934i | ||||
\(714\) | 1.81264 | − | 1.47318i | 0.0678364 | − | 0.0551325i | ||||
\(715\) | −25.1802 | − | 13.4591i | −0.941687 | − | 0.503342i | ||||
\(716\) | −27.5663 | + | 1.48741i | −1.03020 | + | 0.0555871i | ||||
\(717\) | −0.457921 | + | 1.01065i | −0.0171014 | + | 0.0377435i | ||||
\(718\) | −8.24404 | + | 37.1306i | −0.307665 | + | 1.38570i | ||||
\(719\) | −18.7064 | + | 2.46275i | −0.697633 | + | 0.0918451i | −0.470997 | − | 0.882135i | \(-0.656106\pi\) |
−0.226635 | + | 0.973980i | \(0.572773\pi\) | |||||||
\(720\) | 12.2600 | − | 47.5842i | 0.456902 | − | 1.77336i | ||||
\(721\) | −22.2278 | − | 16.4508i | −0.827807 | − | 0.612658i | ||||
\(722\) | 19.3565 | − | 16.2316i | 0.720375 | − | 0.604076i | ||||
\(723\) | −0.173966 | + | 1.05369i | −0.00646985 | + | 0.0391873i | ||||
\(724\) | 0.0349882 | − | 3.03059i | 0.00130033 | − | 0.112631i | ||||
\(725\) | −95.1218 | − | 22.1793i | −3.53274 | − | 0.823718i | ||||
\(726\) | 0.267054 | − | 1.04062i | 0.00991130 | − | 0.0386209i | ||||
\(727\) | 30.0248 | − | 5.97231i | 1.11356 | − | 0.221501i | 0.396173 | − | 0.918176i | \(-0.370338\pi\) |
0.717387 | + | 0.696675i | \(0.245338\pi\) | |||||||
\(728\) | −16.0732 | − | 21.6700i | −0.595713 | − | 0.803145i | ||||
\(729\) | −5.15329 | + | 25.9073i | −0.190863 | + | 0.959531i | ||||
\(730\) | −10.2680 | + | 3.60722i | −0.380035 | + | 0.133509i | ||||
\(731\) | −67.3039 | + | 11.1119i | −2.48932 | + | 0.410989i | ||||
\(732\) | −0.135525 | + | 1.23023i | −0.00500913 | + | 0.0454707i | ||||
\(733\) | 5.68496 | − | 9.14215i | 0.209979 | − | 0.337673i | −0.727260 | − | 0.686362i | \(-0.759206\pi\) |
0.937238 | + | 0.348689i | \(0.113373\pi\) | |||||||
\(734\) | 39.2919 | + | 31.5556i | 1.45029 | + | 1.16474i | ||||
\(735\) | −2.19303 | − | 2.04576i | −0.0808912 | − | 0.0754590i | ||||
\(736\) | 3.83364 | − | 8.18725i | 0.141310 | − | 0.301786i | ||||
\(737\) | −6.11722 | + | 22.8298i | −0.225331 | + | 0.840945i | ||||
\(738\) | −12.0521 | + | 27.3668i | −0.443642 | + | 1.00738i | ||||
\(739\) | −0.556758 | + | 17.0072i | −0.0204807 | + | 0.625620i | 0.939012 | + | 0.343885i | \(0.111743\pi\) |
−0.959492 | + | 0.281735i | \(0.909090\pi\) | |||||||
\(740\) | 29.5364 | + | 48.7444i | 1.08578 | + | 1.79188i | ||||
\(741\) | −0.254310 | − | 0.309878i | −0.00934231 | − | 0.0113836i | ||||
\(742\) | 33.5681 | − | 23.8131i | 1.23232 | − | 0.874205i | ||||
\(743\) | −1.68613 | + | 8.47673i | −0.0618580 | + | 0.310981i | −0.999310 | − | 0.0371325i | \(-0.988178\pi\) |
0.937452 | + | 0.348114i | \(0.113178\pi\) | |||||||
\(744\) | 0.190838 | + | 0.137029i | 0.00699648 | + | 0.00502372i | ||||
\(745\) | 7.33514 | − | 21.6086i | 0.268739 | − | 0.791679i | ||||
\(746\) | 31.1096 | + | 17.5245i | 1.13900 | + | 0.641617i | ||||
\(747\) | 18.4791 | + | 17.3076i | 0.676116 | + | 0.633252i | ||||
\(748\) | −14.2590 | + | 18.1451i | −0.521362 | + | 0.663450i | ||||
\(749\) | −4.35022 | + | 29.5307i | −0.158954 | + | 1.07903i | ||||
\(750\) | 4.15868 | + | 0.365171i | 0.151854 | + | 0.0133341i | ||||
\(751\) | −15.0019 | + | 19.5508i | −0.547427 | + | 0.713421i | −0.982351 | − | 0.187047i | \(-0.940108\pi\) |
0.434924 | + | 0.900467i | \(0.356775\pi\) | |||||||
\(752\) | 13.9318 | + | 44.3830i | 0.508042 | + | 1.61848i | ||||
\(753\) | 1.55669 | − | 1.19449i | 0.0567289 | − | 0.0435297i | ||||
\(754\) | 1.81371 | + | 41.8462i | 0.0660513 | + | 1.52395i | ||||
\(755\) | 50.3650 | − | 4.96052i | 1.83297 | − | 0.180532i | ||||
\(756\) | −3.23655 | + | 0.663397i | −0.117712 | + | 0.0241275i | ||||
\(757\) | 30.0293 | + | 16.0510i | 1.09143 | + | 0.583383i | 0.916029 | − | 0.401113i | \(-0.131377\pi\) |
0.175405 | + | 0.984496i | \(0.443877\pi\) | |||||||
\(758\) | −13.7970 | + | 18.3804i | −0.501129 | + | 0.667606i | ||||
\(759\) | −0.287925 | + | 0.141989i | −0.0104510 | + | 0.00515386i | ||||
\(760\) | −12.1616 | + | 2.40703i | −0.441148 | + | 0.0873122i | ||||
\(761\) | −31.5783 | − | 15.5727i | −1.14471 | − | 0.564509i | −0.231839 | − | 0.972754i | \(-0.574474\pi\) |
−0.912873 | + | 0.408245i | \(0.866141\pi\) | |||||||
\(762\) | 0.131095 | + | 0.624426i | 0.00474908 | + | 0.0226206i | ||||
\(763\) | 17.5568 | − | 25.4214i | 0.635597 | − | 0.920317i | ||||
\(764\) | −16.3195 | + | 25.5806i | −0.590419 | + | 0.925472i | ||||
\(765\) | −71.6404 | + | 16.7042i | −2.59016 | + | 0.603941i | ||||
\(766\) | 53.7795 | + | 1.19059i | 1.94313 | + | 0.0430177i | ||||
\(767\) | 24.0206 | + | 13.8683i | 0.867333 | + | 0.500755i | ||||
\(768\) | 0.757796 | − | 1.48592i | 0.0273446 | − | 0.0536187i | ||||
\(769\) | 6.07134i | 0.218938i | 0.993990 | + | 0.109469i | \(0.0349151\pi\) | ||||
−0.993990 | + | 0.109469i | \(0.965085\pi\) | |||||||
\(770\) | 25.5899 | + | 14.9375i | 0.922196 | + | 0.538311i | ||||
\(771\) | 1.73894 | + | 0.527502i | 0.0626264 | + | 0.0189975i | ||||
\(772\) | −0.744525 | + | 16.8071i | −0.0267961 | + | 0.604899i | ||||
\(773\) | 19.8015 | − | 27.6329i | 0.712210 | − | 0.993888i | −0.287142 | − | 0.957888i | \(-0.592705\pi\) |
0.999352 | − | 0.0360000i | \(-0.0114616\pi\) | |||||||
\(774\) | 45.7613 | + | 14.9953i | 1.64485 | + | 0.538995i | ||||
\(775\) | 4.19006 | − | 8.49660i | 0.150511 | − | 0.305207i | ||||
\(776\) | −15.0005 | + | 13.1298i | −0.538487 | + | 0.471332i | ||||
\(777\) | 1.03479 | − | 1.60845i | 0.0371230 | − | 0.0577029i | ||||
\(778\) | −34.6647 | + | 14.7906i | −1.24279 | + | 0.530269i | ||||
\(779\) | 7.54046 | − | 0.246849i | 0.270165 | − | 0.00884429i | ||||
\(780\) | −0.567692 | − | 3.03679i | −0.0203266 | − | 0.108735i | ||||
\(781\) | 11.8442 | − | 26.1406i | 0.423818 | − | 0.935385i | ||||
\(782\) | −13.5211 | + | 0.586034i | −0.483513 | + | 0.0209565i | ||||
\(783\) | 4.73860 | + | 1.96279i | 0.169344 | + | 0.0701445i | ||||
\(784\) | 15.8259 | + | 23.0985i | 0.565211 | + | 0.824946i | ||||
\(785\) | 11.1500 | − | 4.61847i | 0.397959 | − | 0.164840i | ||||
\(786\) | 0.391382 | − | 0.182353i | 0.0139601 | − | 0.00650432i | ||||
\(787\) | 1.58611 | − | 0.596971i | 0.0565388 | − | 0.0212797i | −0.323820 | − | 0.946119i | \(-0.604967\pi\) |
0.380359 | + | 0.924839i | \(0.375801\pi\) | |||||||
\(788\) | 3.36752 | + | 8.40301i | 0.119963 | + | 0.299345i | ||||
\(789\) | 0.739262 | − | 0.789303i | 0.0263184 | − | 0.0280999i | ||||
\(790\) | −0.0446963 | − | 4.22037i | −0.00159022 | − | 0.150154i | ||||
\(791\) | −31.0899 | + | 6.74740i | −1.10543 | + | 0.239910i | ||||
\(792\) | 14.8454 | − | 6.70931i | 0.527510 | − | 0.238405i | ||||
\(793\) | −6.87944 | − | 20.2662i | −0.244296 | − | 0.719673i | ||||
\(794\) | 0.705230 | + | 9.25657i | 0.0250277 | + | 0.328504i | ||||
\(795\) | 4.64974 | − | 0.767675i | 0.164909 | − | 0.0272266i | ||||
\(796\) | 16.3668 | − | 9.91736i | 0.580105 | − | 0.351512i | ||||
\(797\) | 17.9696 | − | 9.60493i | 0.636514 | − | 0.340224i | −0.121375 | − | 0.992607i | \(-0.538730\pi\) |
0.757890 | + | 0.652383i | \(0.226230\pi\) | |||||||
\(798\) | 0.251681 | + | 0.331256i | 0.00890939 | + | 0.0117263i | ||||
\(799\) | 49.2428 | − | 49.2428i | 1.74208 | − | 1.74208i | ||||
\(800\) | −64.1146 | − | 20.3274i | −2.26679 | − | 0.718683i | ||||
\(801\) | 3.02876 | − | 0.811555i | 0.107016 | − | 0.0286749i | ||||
\(802\) | −20.0963 | + | 7.80767i | −0.709626 | + | 0.275699i | ||||
\(803\) | −3.06407 | − | 1.90536i | −0.108129 | − | 0.0672387i | ||||
\(804\) | −2.34149 | + | 1.02850i | −0.0825780 | + | 0.0362725i | ||||
\(805\) | 3.12790 | + | 17.0931i | 0.110244 | + | 0.602453i | ||||
\(806\) | −3.99268 | − | 0.750329i | −0.140636 | − | 0.0264292i | ||||
\(807\) | −0.436864 | − | 1.28696i | −0.0153783 | − | 0.0453031i | ||||
\(808\) | −22.7491 | + | 2.21867i | −0.800311 | + | 0.0780527i | ||||
\(809\) | −0.810892 | + | 2.38881i | −0.0285094 | + | 0.0839861i | −0.960253 | − | 0.279130i | \(-0.909954\pi\) |
0.931744 | + | 0.363116i | \(0.118287\pi\) | |||||||
\(810\) | 50.1167 | + | 12.8615i | 1.76092 | + | 0.451905i | ||||
\(811\) | 3.20283 | + | 10.5583i | 0.112466 | + | 0.370752i | 0.995047 | − | 0.0994097i | \(-0.0316955\pi\) |
−0.882580 | + | 0.470162i | \(0.844195\pi\) | |||||||
\(812\) | −0.253002 | − | 43.4677i | −0.00887863 | − | 1.52542i | ||||
\(813\) | −0.707738 | + | 0.862382i | −0.0248215 | + | 0.0302450i | ||||
\(814\) | −6.46844 | + | 17.7543i | −0.226719 | + | 0.622288i | ||||
\(815\) | 81.2116 | + | 10.6917i | 2.84472 | + | 0.374514i | ||||
\(816\) | −2.49695 | + | 0.0240612i | −0.0874108 | + | 0.000842310i | ||||
\(817\) | −1.58584 | − | 12.0456i | −0.0554814 | − | 0.421423i | ||||
\(818\) | 16.3264 | − | 5.14199i | 0.570839 | − | 0.179785i | ||||
\(819\) | 22.8851 | − | 17.0083i | 0.799669 | − | 0.594318i | ||||
\(820\) | 51.8468 | + | 26.3164i | 1.81057 | + | 0.919009i | ||||
\(821\) | 30.7970 | − | 1.00819i | 1.07482 | − | 0.0351860i | 0.509824 | − | 0.860279i | \(-0.329710\pi\) |
0.564998 | + | 0.825093i | \(0.308877\pi\) | |||||||
\(822\) | 0.679494 | − | 0.532921i | 0.0237001 | − | 0.0185878i | ||||
\(823\) | 13.6445 | − | 6.72874i | 0.475618 | − | 0.234549i | −0.188648 | − | 0.982045i | \(-0.560411\pi\) |
0.664267 | + | 0.747496i | \(0.268744\pi\) | |||||||
\(824\) | 7.62411 | + | 28.5626i | 0.265598 | + | 0.995024i | ||||
\(825\) | 1.32696 | + | 1.98594i | 0.0461989 | + | 0.0691415i | ||||
\(826\) | −24.3714 | − | 15.3168i | −0.847988 | − | 0.532939i | ||||
\(827\) | 2.84887 | − | 28.9251i | 0.0990651 | − | 1.00582i | −0.809229 | − | 0.587493i | \(-0.800115\pi\) |
0.908294 | − | 0.418332i | \(-0.137385\pi\) | |||||||
\(828\) | 8.65629 | + | 4.04320i | 0.300827 | + | 0.140511i | ||||
\(829\) | −35.0265 | − | 37.3974i | −1.21652 | − | 1.29887i | −0.941334 | − | 0.337476i | \(-0.890427\pi\) |
−0.275187 | − | 0.961391i | \(-0.588740\pi\) | |||||||
\(830\) | 35.5723 | − | 34.0314i | 1.23473 | − | 1.18125i | ||||
\(831\) | 0.0473685 | − | 0.0273482i | 0.00164320 | − | 0.000948700i | ||||
\(832\) | −0.998741 | + | 28.8259i | −0.0346251 | + | 0.999358i | ||||
\(833\) | 19.6855 | − | 37.0072i | 0.682061 | − | 1.28222i | ||||
\(834\) | 1.21197 | + | 0.353675i | 0.0419670 | + | 0.0122467i | ||||
\(835\) | 27.2964 | − | 6.36464i | 0.944633 | − | 0.220257i | ||||
\(836\) | −3.14694 | − | 2.64401i | −0.108839 | − | 0.0914451i | ||||
\(837\) | −0.289769 | + | 0.404373i | −0.0100159 | + | 0.0139772i | ||||
\(838\) | 0.427005 | − | 7.77577i | 0.0147506 | − | 0.268610i | ||||
\(839\) | 6.75644 | − | 4.51451i | 0.233258 | − | 0.155858i | −0.433448 | − | 0.901178i | \(-0.642703\pi\) |
0.666707 | + | 0.745320i | \(0.267703\pi\) | |||||||
\(840\) | 0.470594 | + | 3.17143i | 0.0162370 | + | 0.109425i | ||||
\(841\) | −21.3796 | + | 31.9969i | −0.737228 | + | 1.10334i | ||||
\(842\) | 8.95274 | − | 1.27524i | 0.308532 | − | 0.0439478i | ||||
\(843\) | 0.887998 | + | 1.42802i | 0.0305843 | + | 0.0491835i | ||||
\(844\) | −7.00323 | + | 33.1998i | −0.241061 | + | 1.14278i | ||||
\(845\) | −0.00263075 | − | 0.00367121i | −9.05007e−5 | − | 0.000126294i | ||||
\(846\) | −46.8907 | + | 14.7682i | −1.61213 | + | 0.507740i | ||||
\(847\) | −2.84802 | − | 19.0681i | −0.0978592 | − | 0.655188i | ||||
\(848\) | −43.9299 | − | 2.45445i | −1.50856 | − | 0.0842862i | ||||
\(849\) | −0.687230 | + | 0.895616i | −0.0235857 | + | 0.0307375i | ||||
\(850\) | 17.4532 | + | 99.1667i | 0.598642 | + | 3.40139i | ||||
\(851\) | −10.3713 | + | 3.90348i | −0.355524 | + | 0.133810i | ||||
\(852\) | 3.00859 | − | 0.769037i | 0.103073 | − | 0.0263468i | ||||
\(853\) | 53.3718 | − | 16.1901i | 1.82741 | − | 0.554340i | 0.827440 | − | 0.561554i | \(-0.189796\pi\) |
0.999974 | + | 0.00721350i | \(0.00229615\pi\) | |||||||
\(854\) | 6.34601 | + | 21.2849i | 0.217156 | + | 0.728355i | ||||
\(855\) | −2.55606 | − | 12.8502i | −0.0874153 | − | 0.439466i | ||||
\(856\) | 23.3110 | − | 21.7914i | 0.796755 | − | 0.744816i | ||||
\(857\) | −7.74102 | + | 8.82694i | −0.264428 | + | 0.301523i | −0.868783 | − | 0.495193i | \(-0.835098\pi\) |
0.604355 | + | 0.796715i | \(0.293431\pi\) | |||||||
\(858\) | 0.667143 | − | 0.777181i | 0.0227759 | − | 0.0265325i | ||||
\(859\) | 2.65997 | − | 7.06736i | 0.0907569 | − | 0.241135i | −0.882729 | − | 0.469883i | \(-0.844296\pi\) |
0.973486 | + | 0.228747i | \(0.0734629\pi\) | |||||||
\(860\) | 33.9918 | − | 87.2454i | 1.15911 | − | 2.97504i | ||||
\(861\) | 0.0299678 | − | 1.95087i | 0.00102130 | − | 0.0664856i | ||||
\(862\) | −19.2284 | − | 15.4425i | −0.654922 | − | 0.525973i | ||||
\(863\) | 5.35607 | − | 19.9891i | 0.182323 | − | 0.680437i | −0.812865 | − | 0.582452i | \(-0.802093\pi\) |
0.995188 | − | 0.0979856i | \(-0.0312399\pi\) | |||||||
\(864\) | 3.14794 | + | 1.60161i | 0.107095 | + | 0.0544880i | ||||
\(865\) | −76.8432 | + | 20.5901i | −2.61275 | + | 0.700084i | ||||
\(866\) | 4.23992 | − | 3.10676i | 0.144078 | − | 0.105572i | ||||
\(867\) | 0.926751 | + | 1.73383i | 0.0314741 | + | 0.0588839i | ||||
\(868\) | 4.11148 | + | 0.933465i | 0.139553 | + | 0.0316839i | ||||
\(869\) | 1.08167 | − | 0.887700i | 0.0366930 | − | 0.0301132i | ||||
\(870\) | 2.15404 | − | 4.48714i | 0.0730288 | − | 0.152128i | ||||
\(871\) | 29.1583 | − | 33.2487i | 0.987991 | − | 1.12659i | ||||
\(872\) | −31.6149 | + | 9.55734i | −1.07062 | + | 0.323652i | ||||
\(873\) | −13.8909 | − | 15.8396i | −0.470136 | − | 0.536088i | ||||
\(874\) | −0.0255268 | − | 2.41033i | −0.000863457 | − | 0.0815305i | ||||
\(875\) | 71.3028 | − | 22.9889i | 2.41048 | − | 0.777166i | ||||
\(876\) | −0.0464881 | − | 0.387642i | −0.00157069 | − | 0.0130972i | ||||
\(877\) | 1.08846 | − | 6.59268i | 0.0367546 | − | 0.222619i | −0.961967 | − | 0.273165i | \(-0.911929\pi\) |
0.998722 | + | 0.0505460i | \(0.0160961\pi\) | |||||||
\(878\) | −9.88153 | + | 14.1027i | −0.333485 | + | 0.475944i | ||||
\(879\) | 2.49109 | + | 0.327958i | 0.0840223 | + | 0.0110617i | ||||
\(880\) | −11.4432 | − | 29.5373i | −0.385749 | − | 0.995701i | ||||
\(881\) | 12.0015 | − | 28.9741i | 0.404339 | − | 0.976161i | −0.582261 | − | 0.813002i | \(-0.697832\pi\) |
0.986600 | − | 0.163159i | \(-0.0521683\pi\) | |||||||
\(882\) | −24.3949 | + | 16.7484i | −0.821420 | + | 0.563948i | ||||
\(883\) | 0.857659 | + | 8.70796i | 0.0288625 | + | 0.293046i | 0.998770 | + | 0.0495742i | \(0.0157864\pi\) |
−0.969908 | + | 0.243472i | \(0.921714\pi\) | |||||||
\(884\) | 38.9444 | − | 18.6495i | 1.30984 | − | 0.627249i | ||||
\(885\) | −1.74053 | − | 2.79899i | −0.0585071 | − | 0.0940871i | ||||
\(886\) | −1.60011 | + | 13.2357i | −0.0537568 | + | 0.444663i | ||||
\(887\) | 3.06003 | − | 46.6870i | 0.102746 | − | 1.56760i | −0.566190 | − | 0.824275i | \(-0.691583\pi\) |
0.668935 | − | 0.743321i | \(-0.266750\pi\) | |||||||
\(888\) | −1.93674 | + | 0.655374i | −0.0649927 | + | 0.0219929i | ||||
\(889\) | 6.52563 | + | 9.40843i | 0.218862 | + | 0.315549i | ||||
\(890\) | −1.25270 | − | 5.96678i | −0.0419905 | − | 0.200007i | ||||
\(891\) | 7.07956 | + | 15.6249i | 0.237174 | + | 0.523455i | ||||
\(892\) | −23.9455 | − | 7.56674i | −0.801755 | − | 0.253353i | ||||
\(893\) | 8.47883 | + | 9.05275i | 0.283733 | + | 0.302939i | ||||
\(894\) | 0.699719 | + | 0.424904i | 0.0234021 | + | 0.0142109i | ||||
\(895\) | −56.7275 | −1.89619 | ||||||||
\(896\) | 2.15716 | − | 29.8554i | 0.0720657 | − | 0.997400i | ||||
\(897\) | 0.600675 | 0.0200560 | ||||||||
\(898\) | 13.2573 | + | 8.05048i | 0.442401 | + | 0.268648i | ||||
\(899\) | −4.47430 | − | 4.77716i | −0.149226 | − | 0.159327i | ||||
\(900\) | 21.4177 | − | 67.7780i | 0.713924 | − | 2.25927i | ||||
\(901\) | 27.1840 | + | 59.9964i | 0.905631 | + | 1.99877i | ||||
\(902\) | 3.96070 | + | 18.8654i | 0.131877 | + | 0.628149i | ||||
\(903\) | −3.13127 | + | 0.259910i | −0.104202 | + | 0.00864925i | ||||
\(904\) | 30.4885 | + | 15.0714i | 1.01403 | + | 0.501268i | ||||
\(905\) | 0.407323 | − | 6.21455i | 0.0135399 | − | 0.206579i | ||||
\(906\) | −0.217898 | + | 1.80240i | −0.00723918 | + | 0.0598807i | ||||
\(907\) | 2.84741 | + | 4.57900i | 0.0945466 | + | 0.152043i | 0.893066 | − | 0.449926i | \(-0.148550\pi\) |
−0.798519 | + | 0.601969i | \(0.794383\pi\) | |||||||
\(908\) | −7.90069 | − | 16.4985i | −0.262194 | − | 0.547521i | ||||
\(909\) | −2.36768 | − | 24.0394i | −0.0785309 | − | 0.797337i | ||||
\(910\) | −30.5812 | − | 46.2440i | −1.01376 | − | 1.53297i | ||||
\(911\) | −6.46647 | + | 15.6114i | −0.214244 | + | 0.517230i | −0.994067 | − | 0.108770i | \(-0.965309\pi\) |
0.779823 | + | 0.626000i | \(0.215309\pi\) | |||||||
\(912\) | 0.0102678 | − | 0.444627i | 0.000340001 | − | 0.0147231i | ||||
\(913\) | 16.1817 | + | 2.13037i | 0.535537 | + | 0.0705048i | ||||
\(914\) | 25.7410 | − | 36.7371i | 0.851438 | − | 1.21516i | ||||
\(915\) | −0.414286 | + | 2.50929i | −0.0136959 | + | 0.0829547i | ||||
\(916\) | 9.87165 | − | 1.18386i | 0.326169 | − | 0.0391158i | ||||
\(917\) | 5.19783 | − | 5.74649i | 0.171647 | − | 0.189766i | ||||
\(918\) | −0.0559946 | − | 5.28719i | −0.00184810 | − | 0.174503i | ||||
\(919\) | −37.8827 | − | 43.1970i | −1.24964 | − | 1.42494i | −0.864926 | − | 0.501899i | \(-0.832635\pi\) |
−0.384710 | − | 0.923037i | \(-0.625699\pi\) | |||||||
\(920\) | 8.77264 | − | 16.3749i | 0.289226 | − | 0.539863i | ||||
\(921\) | 0.938291 | − | 1.06992i | 0.0309178 | − | 0.0352549i | ||||
\(922\) | 1.81744 | − | 3.78595i | 0.0598540 | − | 0.124684i | ||||
\(923\) | −41.5087 | + | 34.0653i | −1.36628 | + | 1.12127i | ||||
\(924\) | −0.722104 | + | 0.780033i | −0.0237555 | + | 0.0256612i | ||||
\(925\) | 38.8650 | + | 72.7114i | 1.27787 | + | 2.39074i | ||||
\(926\) | 23.9532 | − | 17.5515i | 0.787151 | − | 0.576778i | ||||
\(927\) | −30.1777 | + | 8.08609i | −0.991166 | + | 0.265582i | ||||
\(928\) | −28.7475 | + | 36.5104i | −0.943684 | + | 1.19851i | ||||
\(929\) | 12.3869 | − | 46.2285i | 0.406400 | − | 1.51671i | −0.395058 | − | 0.918656i | \(-0.629276\pi\) |
0.801459 | − | 0.598050i | \(-0.204058\pi\) | |||||||
\(930\) | 0.376408 | + | 0.302296i | 0.0123429 | + | 0.00991267i | ||||
\(931\) | 6.47300 | + | 3.71990i | 0.212144 | + | 0.121915i | ||||
\(932\) | 19.8555 | + | 7.73591i | 0.650387 | + | 0.253398i | ||||
\(933\) | 0.955049 | − | 2.53750i | 0.0312669 | − | 0.0830741i | ||||
\(934\) | −14.0120 | + | 16.3232i | −0.458487 | + | 0.534110i | ||||
\(935\) | −31.2668 | + | 35.6530i | −1.02253 | + | 1.16598i | ||||
\(936\) | −30.4647 | − | 1.02642i | −0.995770 | − | 0.0335494i | ||||
\(937\) | 11.4709 | + | 57.6682i | 0.374739 | + | 1.88394i | 0.460561 | + | 0.887628i | \(0.347648\pi\) |
−0.0858219 | + | 0.996310i | \(0.527352\pi\) | |||||||
\(938\) | −31.5325 | + | 33.3466i | −1.02957 | + | 1.08881i | ||||
\(939\) | −0.948836 | + | 0.287826i | −0.0309641 | + | 0.00939286i | ||||
\(940\) | 23.6727 | + | 92.6113i | 0.772119 | + | 3.02065i | ||||
\(941\) | 54.8462 | − | 20.6427i | 1.78794 | − | 0.672932i | 0.789704 | − | 0.613487i | \(-0.210234\pi\) |
0.998232 | − | 0.0594441i | \(-0.0189328\pi\) | |||||||
\(942\) | 0.0750448 | + | 0.426394i | 0.00244509 | + | 0.0138927i | ||||
\(943\) | −6.88196 | + | 8.96875i | −0.224108 | + | 0.292063i | ||||
\(944\) | 10.1717 | + | 29.0425i | 0.331062 | + | 0.945254i | ||||
\(945\) | −6.71449 | + | 1.00288i | −0.218422 | + | 0.0326237i | ||||
\(946\) | 29.6091 | − | 9.32537i | 0.962676 | − | 0.303194i | ||||
\(947\) | −7.47936 | − | 10.4374i | −0.243047 | − | 0.339171i | 0.673436 | − | 0.739245i | \(-0.264818\pi\) |
−0.916483 | + | 0.400074i | \(0.868984\pi\) | |||||||
\(948\) | 0.148149 | + | 0.0312508i | 0.00481165 | + | 0.00101498i | ||||
\(949\) | 3.56508 | + | 5.73311i | 0.115727 | + | 0.186105i | ||||
\(950\) | −17.7545 | + | 2.52899i | −0.576034 | + | 0.0820512i | ||||
\(951\) | −0.604401 | + | 0.904551i | −0.0195991 | + | 0.0293321i | ||||
\(952\) | −41.1133 | + | 17.8256i | −1.33249 | + | 0.577732i | ||||
\(953\) | 14.3882 | − | 9.61386i | 0.466078 | − | 0.311423i | −0.300264 | − | 0.953856i | \(-0.597075\pi\) |
0.766342 | + | 0.642433i | \(0.222075\pi\) | |||||||
\(954\) | 2.54960 | − | 46.4284i | 0.0825464 | − | 1.50317i | ||||
\(955\) | −36.3179 | + | 50.6816i | −1.17522 | + | 1.64002i | ||||
\(956\) | 13.6930 | − | 16.2976i | 0.442864 | − | 0.527103i | ||||
\(957\) | 1.60708 | − | 0.374718i | 0.0519495 | − | 0.0121129i | ||||
\(958\) | 38.0217 | + | 11.0954i | 1.22842 | + | 0.358477i | ||||
\(959\) | 7.51424 | − | 13.5532i | 0.242648 | − | 0.437657i | ||||
\(960\) | 1.71943 | − | 2.96505i | 0.0554942 | − | 0.0956965i | ||||
\(961\) | −26.2970 | + | 15.1826i | −0.848290 | + | 0.489761i | ||||
\(962\) | 25.5475 | − | 24.4408i | 0.823684 | − | 0.788004i | ||||
\(963\) | 23.0531 | + | 24.6135i | 0.742875 | + | 0.793160i | ||||
\(964\) | 8.67058 | − | 18.5633i | 0.279261 | − | 0.597883i | ||||
\(965\) | −3.38847 | + | 34.4037i | −0.109079 | + | 1.10750i | ||||
\(966\) | −0.622938 | − | 0.0233679i | −0.0200427 | − | 0.000751848i | ||||
\(967\) | 10.1916 | + | 15.2528i | 0.327739 | + | 0.490495i | 0.958347 | − | 0.285606i | \(-0.0921947\pi\) |
−0.630609 | + | 0.776101i | \(0.717195\pi\) | |||||||
\(968\) | −10.3224 | + | 17.8396i | −0.331775 | + | 0.573387i | ||||
\(969\) | −0.597141 | + | 0.294477i | −0.0191829 | + | 0.00945997i | ||||
\(970\) | −32.2330 | + | 25.2801i | −1.03494 | + | 0.811694i | ||||
\(971\) | 61.6135 | − | 2.01702i | 1.97727 | − | 0.0647292i | 0.983833 | − | 0.179090i | \(-0.0573152\pi\) |
0.993439 | + | 0.114360i | \(0.0364818\pi\) | |||||||
\(972\) | −2.53569 | + | 4.99564i | −0.0813323 | + | 0.160235i | ||||
\(973\) | 22.5056 | − | 2.61192i | 0.721495 | − | 0.0837342i | ||||
\(974\) | −5.17033 | + | 1.62839i | −0.165668 | + | 0.0521770i | ||||
\(975\) | −0.583322 | − | 4.43077i | −0.0186813 | − | 0.141898i | ||||
\(976\) | 8.87477 | − | 22.0235i | 0.284075 | − | 0.704954i | ||||
\(977\) | −21.7572 | − | 2.86439i | −0.696075 | − | 0.0916400i | −0.225818 | − | 0.974170i | \(-0.572505\pi\) |
−0.470257 | + | 0.882530i | \(0.655839\pi\) | |||||||
\(978\) | −1.00591 | + | 2.76097i | −0.0321653 | + | 0.0882861i | ||||
\(979\) | 1.28232 | − | 1.56251i | 0.0409832 | − | 0.0499381i | ||||
\(980\) | 29.9156 | + | 49.1476i | 0.955620 | + | 1.56996i | ||||
\(981\) | −10.1322 | − | 33.4015i | −0.323498 | − | 1.06643i | ||||
\(982\) | −31.7184 | − | 8.13989i | −1.01217 | − | 0.259754i | ||||
\(983\) | −5.92841 | + | 17.4645i | −0.189087 | + | 0.557032i | −0.999588 | − | 0.0287052i | \(-0.990862\pi\) |
0.810501 | + | 0.585737i | \(0.199195\pi\) | |||||||
\(984\) | −1.32477 | + | 1.61110i | −0.0422320 | + | 0.0513599i | ||||
\(985\) | 5.97944 | + | 17.6149i | 0.190521 | + | 0.561256i | ||||
\(986\) | 68.3703 | + | 12.8486i | 2.17735 | + | 0.409181i | ||||
\(987\) | 2.44385 | − | 2.07767i | 0.0777886 | − | 0.0661329i | ||||
\(988\) | 3.09287 | + | 7.04124i | 0.0983974 | + | 0.224012i | ||||
\(989\) | 15.4599 | + | 9.61359i | 0.491596 | + | 0.305694i | ||||
\(990\) | 31.2040 | − | 12.1231i | 0.991727 | − | 0.385298i | ||||
\(991\) | −19.7027 | + | 5.27931i | −0.625876 | + | 0.167703i | −0.557797 | − | 0.829977i | \(-0.688353\pi\) |
−0.0680782 | + | 0.997680i | \(0.521687\pi\) | |||||||
\(992\) | −2.81558 | − | 3.51959i | −0.0893946 | − | 0.111747i | ||||
\(993\) | 1.01150 | − | 1.01150i | 0.0320989 | − | 0.0320989i | ||||
\(994\) | 44.3724 | − | 33.7131i | 1.40741 | − | 1.06932i | ||||
\(995\) | 34.6808 | − | 18.5373i | 1.09945 | − | 0.587670i | ||||
\(996\) | 0.915214 | + | 1.51039i | 0.0289997 | + | 0.0478586i | ||||
\(997\) | 27.7676 | − | 4.58444i | 0.879408 | − | 0.145191i | 0.293879 | − | 0.955843i | \(-0.405054\pi\) |
0.585529 | + | 0.810652i | \(0.300887\pi\) | |||||||
\(998\) | 0.997652 | + | 13.0948i | 0.0315801 | + | 0.414508i | ||||
\(999\) | −1.39165 | − | 4.09968i | −0.0440299 | − | 0.129708i |
(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 | 896.2.bt.a.59.84 | ✓ | 4032 | |
7.5 | odd | 6 | inner | 896.2.bt.a.187.2 | yes | 4032 | |
128.115 | odd | 32 | inner | 896.2.bt.a.115.2 | yes | 4032 | |
896.243 | even | 96 | inner | 896.2.bt.a.243.84 | yes | 4032 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
896.2.bt.a.59.84 | ✓ | 4032 | 1.1 | even | 1 | trivial | |
896.2.bt.a.115.2 | yes | 4032 | 128.115 | odd | 32 | inner | |
896.2.bt.a.187.2 | yes | 4032 | 7.5 | odd | 6 | inner | |
896.2.bt.a.243.84 | yes | 4032 | 896.243 | even | 96 | inner |