Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(59,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 21, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.bp (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(608\) |
Relative dimension: | \(76\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 59.15 | ||
Character | \(\chi\) | \(=\) | 525.59 |
Dual form | 525.2.bp.a.89.15 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.191732 | + | 1.82421i | −0.135575 | + | 1.28991i | 0.689249 | + | 0.724524i | \(0.257940\pi\) |
−0.824825 | + | 0.565389i | \(0.808726\pi\) | |||||||
\(3\) | −1.65023 | − | 0.526055i | −0.952762 | − | 0.303718i | ||||
\(4\) | −1.33469 | − | 0.283698i | −0.667347 | − | 0.141849i | ||||
\(5\) | 0.748065 | + | 2.10723i | 0.334545 | + | 0.942380i | ||||
\(6\) | 1.27604 | − | 2.90951i | 0.520941 | − | 1.18780i | ||||
\(7\) | 1.76046 | − | 1.97503i | 0.665393 | − | 0.746493i | ||||
\(8\) | −0.360206 | + | 1.10860i | −0.127352 | + | 0.391950i | ||||
\(9\) | 2.44653 | + | 1.73623i | 0.815511 | + | 0.578742i | ||||
\(10\) | −3.98745 | + | 0.960606i | −1.26094 | + | 0.303770i | ||||
\(11\) | 1.03031 | + | 2.31411i | 0.310650 | + | 0.697731i | 0.999634 | − | 0.0270450i | \(-0.00860974\pi\) |
−0.688984 | + | 0.724776i | \(0.741943\pi\) | |||||||
\(12\) | 2.05331 | + | 1.17029i | 0.592740 | + | 0.337834i | ||||
\(13\) | 3.33875 | − | 2.42574i | 0.926003 | − | 0.672780i | −0.0190082 | − | 0.999819i | \(-0.506051\pi\) |
0.945011 | + | 0.327039i | \(0.106051\pi\) | |||||||
\(14\) | 3.26534 | + | 3.59014i | 0.872700 | + | 0.959505i | ||||
\(15\) | −0.125964 | − | 3.87093i | −0.0325238 | − | 0.999471i | ||||
\(16\) | −4.44635 | − | 1.97964i | −1.11159 | − | 0.494910i | ||||
\(17\) | 3.25612 | − | 2.93183i | 0.789726 | − | 0.711072i | −0.171997 | − | 0.985098i | \(-0.555022\pi\) |
0.961723 | + | 0.274025i | \(0.0883552\pi\) | |||||||
\(18\) | −3.63632 | + | 4.13010i | −0.857090 | + | 0.973474i | ||||
\(19\) | 1.12639 | + | 5.29924i | 0.258411 | + | 1.21573i | 0.895543 | + | 0.444975i | \(0.146787\pi\) |
−0.637132 | + | 0.770755i | \(0.719879\pi\) | |||||||
\(20\) | −0.400622 | − | 3.02472i | −0.0895819 | − | 0.676349i | ||||
\(21\) | −3.94415 | + | 2.33316i | −0.860685 | + | 0.509138i | ||||
\(22\) | −4.41898 | + | 1.43581i | −0.942129 | + | 0.306116i | ||||
\(23\) | −0.526910 | + | 5.01321i | −0.109868 | + | 1.04533i | 0.791173 | + | 0.611593i | \(0.209471\pi\) |
−0.901041 | + | 0.433734i | \(0.857196\pi\) | |||||||
\(24\) | 1.17761 | − | 1.63996i | 0.240378 | − | 0.334756i | ||||
\(25\) | −3.88080 | + | 3.15268i | −0.776159 | + | 0.630537i | ||||
\(26\) | 3.78492 | + | 6.55568i | 0.742285 | + | 1.28567i | ||||
\(27\) | −3.12399 | − | 4.15219i | −0.601213 | − | 0.799089i | ||||
\(28\) | −2.90999 | + | 2.13663i | −0.549937 | + | 0.403784i | ||||
\(29\) | −3.52436 | + | 1.14513i | −0.654457 | + | 0.212646i | −0.617378 | − | 0.786666i | \(-0.711805\pi\) |
−0.0370788 | + | 0.999312i | \(0.511805\pi\) | |||||||
\(30\) | 7.08556 | + | 0.512398i | 1.29364 | + | 0.0935507i | ||||
\(31\) | −5.90521 | + | 5.31708i | −1.06061 | + | 0.954975i | −0.999069 | − | 0.0431295i | \(-0.986267\pi\) |
−0.0615379 | + | 0.998105i | \(0.519601\pi\) | |||||||
\(32\) | 3.29814 | − | 5.71255i | 0.583035 | − | 1.00985i | ||||
\(33\) | −0.482899 | − | 4.36082i | −0.0840618 | − | 0.759122i | ||||
\(34\) | 4.72397 | + | 6.50199i | 0.810154 | + | 1.11508i | ||||
\(35\) | 5.47879 | + | 2.23224i | 0.926084 | + | 0.377318i | ||||
\(36\) | −2.77281 | − | 3.01141i | −0.462134 | − | 0.501901i | ||||
\(37\) | 1.33171 | − | 2.99106i | 0.218931 | − | 0.491727i | −0.770373 | − | 0.637593i | \(-0.779930\pi\) |
0.989304 | + | 0.145866i | \(0.0465968\pi\) | |||||||
\(38\) | −9.88290 | + | 1.03874i | −1.60322 | + | 0.168505i | ||||
\(39\) | −6.78579 | + | 2.24667i | −1.08660 | + | 0.359756i | ||||
\(40\) | −2.60553 | + | 0.0702700i | −0.411970 | + | 0.0111107i | ||||
\(41\) | 3.70080 | − | 2.68879i | 0.577967 | − | 0.419918i | −0.260023 | − | 0.965602i | \(-0.583730\pi\) |
0.837991 | + | 0.545685i | \(0.183730\pi\) | |||||||
\(42\) | −3.49996 | − | 7.64232i | −0.540056 | − | 1.17923i | ||||
\(43\) | 4.96361i | 0.756944i | 0.925613 | + | 0.378472i | \(0.123550\pi\) | ||||
−0.925613 | + | 0.378472i | \(0.876450\pi\) | |||||||
\(44\) | −0.718638 | − | 3.38093i | −0.108339 | − | 0.509694i | ||||
\(45\) | −1.82845 | + | 6.45420i | −0.272570 | + | 0.962136i | ||||
\(46\) | −9.04413 | − | 1.92239i | −1.33348 | − | 0.283441i | ||||
\(47\) | −4.03906 | − | 3.63679i | −0.589158 | − | 0.530480i | 0.319737 | − | 0.947506i | \(-0.396406\pi\) |
−0.908894 | + | 0.417027i | \(0.863072\pi\) | |||||||
\(48\) | 6.29610 | + | 5.60589i | 0.908764 | + | 0.809141i | ||||
\(49\) | −0.801526 | − | 6.95396i | −0.114504 | − | 0.993423i | ||||
\(50\) | −5.00709 | − | 7.68387i | −0.708109 | − | 1.08666i | ||||
\(51\) | −6.91566 | + | 3.12529i | −0.968386 | + | 0.437629i | ||||
\(52\) | −5.14439 | + | 2.29043i | −0.713398 | + | 0.317625i | ||||
\(53\) | −7.13286 | − | 1.51614i | −0.979774 | − | 0.208257i | −0.309930 | − | 0.950759i | \(-0.600306\pi\) |
−0.669844 | + | 0.742502i | \(0.733639\pi\) | |||||||
\(54\) | 8.17344 | − | 4.90272i | 1.11226 | − | 0.667176i | ||||
\(55\) | −4.10562 | + | 3.90220i | −0.553602 | + | 0.526173i | ||||
\(56\) | 1.55540 | + | 2.66307i | 0.207848 | + | 0.355868i | ||||
\(57\) | 0.928891 | − | 9.33752i | 0.123035 | − | 1.23678i | ||||
\(58\) | −1.41323 | − | 6.64874i | −0.185567 | − | 0.873022i | ||||
\(59\) | 1.27940 | + | 12.1726i | 0.166563 | + | 1.58474i | 0.684298 | + | 0.729203i | \(0.260109\pi\) |
−0.517734 | + | 0.855541i | \(0.673224\pi\) | |||||||
\(60\) | −0.930052 | + | 5.20225i | −0.120069 | + | 0.671607i | ||||
\(61\) | 4.78062 | + | 0.502463i | 0.612096 | + | 0.0643338i | 0.405504 | − | 0.914093i | \(-0.367096\pi\) |
0.206592 | + | 0.978427i | \(0.433763\pi\) | |||||||
\(62\) | −8.56726 | − | 11.7918i | −1.08804 | − | 1.49756i | ||||
\(63\) | 7.73614 | − | 1.77542i | 0.974662 | − | 0.223682i | ||||
\(64\) | 1.91336 | + | 1.39013i | 0.239169 | + | 0.173767i | ||||
\(65\) | 7.60919 | + | 5.22088i | 0.943804 | + | 0.647571i | ||||
\(66\) | 8.04765 | − | 0.0447982i | 0.990598 | − | 0.00551427i | ||||
\(67\) | 4.22695 | − | 3.80596i | 0.516404 | − | 0.464972i | −0.369242 | − | 0.929333i | \(-0.620383\pi\) |
0.885646 | + | 0.464361i | \(0.153716\pi\) | |||||||
\(68\) | −5.17768 | + | 2.98933i | −0.627886 | + | 0.362510i | ||||
\(69\) | 3.50675 | − | 7.99578i | 0.422163 | − | 0.962578i | ||||
\(70\) | −5.12254 | + | 9.56648i | −0.612261 | + | 1.14341i | ||||
\(71\) | −0.380315 | + | 0.123572i | −0.0451351 | + | 0.0146653i | −0.331498 | − | 0.943456i | \(-0.607554\pi\) |
0.286362 | + | 0.958121i | \(0.407554\pi\) | |||||||
\(72\) | −2.80604 | + | 2.08683i | −0.330695 | + | 0.245935i | ||||
\(73\) | 10.2732 | − | 4.57394i | 1.20239 | − | 0.535340i | 0.294949 | − | 0.955513i | \(-0.404697\pi\) |
0.907444 | + | 0.420173i | \(0.138031\pi\) | |||||||
\(74\) | 5.20099 | + | 3.00280i | 0.604603 | + | 0.349068i | ||||
\(75\) | 8.06270 | − | 3.16115i | 0.931001 | − | 0.365018i | ||||
\(76\) | − | 7.39242i | − | 0.847968i | ||||||
\(77\) | 6.38428 | + | 2.03902i | 0.727556 | + | 0.232368i | ||||
\(78\) | −2.79735 | − | 12.8095i | −0.316738 | − | 1.45039i | ||||
\(79\) | −0.206162 | + | 0.228966i | −0.0231950 | + | 0.0257607i | −0.754631 | − | 0.656150i | \(-0.772184\pi\) |
0.731436 | + | 0.681910i | \(0.238851\pi\) | |||||||
\(80\) | 0.845393 | − | 10.8504i | 0.0945178 | − | 1.21311i | ||||
\(81\) | 2.97104 | + | 8.49547i | 0.330115 | + | 0.943941i | ||||
\(82\) | 4.19535 | + | 7.26656i | 0.463299 | + | 0.802458i | ||||
\(83\) | 9.69207 | + | 3.14914i | 1.06384 | + | 0.345663i | 0.788087 | − | 0.615564i | \(-0.211072\pi\) |
0.275756 | + | 0.961228i | \(0.411072\pi\) | |||||||
\(84\) | 5.92615 | − | 1.99511i | 0.646596 | − | 0.217684i | ||||
\(85\) | 8.61381 | + | 4.66819i | 0.934299 | + | 0.506336i | ||||
\(86\) | −9.05468 | − | 0.951685i | −0.976391 | − | 0.102623i | ||||
\(87\) | 6.41842 | − | 0.0357288i | 0.688126 | − | 0.00383053i | ||||
\(88\) | −2.93655 | + | 0.308644i | −0.313037 | + | 0.0329016i | ||||
\(89\) | 0.184176 | − | 1.75232i | 0.0195226 | − | 0.185745i | −0.980415 | − | 0.196944i | \(-0.936898\pi\) |
0.999937 | + | 0.0111990i | \(0.00356482\pi\) | |||||||
\(90\) | −11.4233 | − | 4.57297i | −1.20412 | − | 0.482033i | ||||
\(91\) | 1.08682 | − | 10.8646i | 0.113930 | − | 1.13892i | ||||
\(92\) | 2.12550 | − | 6.54161i | 0.221599 | − | 0.682010i | ||||
\(93\) | 12.5420 | − | 5.66794i | 1.30055 | − | 0.587738i | ||||
\(94\) | 7.40869 | − | 6.67081i | 0.764148 | − | 0.688042i | ||||
\(95\) | −10.3241 | + | 6.33773i | −1.05923 | + | 0.650238i | ||||
\(96\) | −8.44781 | + | 7.69203i | −0.862201 | + | 0.785064i | ||||
\(97\) | −2.02900 | − | 6.24462i | −0.206014 | − | 0.634045i | −0.999670 | − | 0.0256790i | \(-0.991825\pi\) |
0.793656 | − | 0.608366i | \(-0.208175\pi\) | |||||||
\(98\) | 12.8392 | − | 0.128854i | 1.29695 | − | 0.0130162i | ||||
\(99\) | −1.49714 | + | 7.45040i | −0.150468 | + | 0.748794i | ||||
\(100\) | 6.07408 | − | 3.10689i | 0.607408 | − | 0.310689i | ||||
\(101\) | 6.95316 | − | 12.0432i | 0.691866 | − | 1.19835i | −0.279360 | − | 0.960186i | \(-0.590122\pi\) |
0.971226 | − | 0.238160i | \(-0.0765443\pi\) | |||||||
\(102\) | −4.37524 | − | 13.2149i | −0.433214 | − | 1.30847i | ||||
\(103\) | −1.93776 | + | 2.15211i | −0.190934 | + | 0.212053i | −0.831009 | − | 0.556259i | \(-0.812236\pi\) |
0.640076 | + | 0.768312i | \(0.278903\pi\) | |||||||
\(104\) | 1.48654 | + | 4.57511i | 0.145768 | + | 0.448626i | ||||
\(105\) | −7.86699 | − | 6.56586i | −0.767739 | − | 0.640762i | ||||
\(106\) | 4.13336 | − | 12.7212i | 0.401467 | − | 1.23559i | ||||
\(107\) | 2.60065 | + | 4.50446i | 0.251414 | + | 0.435462i | 0.963915 | − | 0.266209i | \(-0.0857710\pi\) |
−0.712501 | + | 0.701671i | \(0.752438\pi\) | |||||||
\(108\) | 2.99161 | + | 6.42817i | 0.287868 | + | 0.618551i | ||||
\(109\) | 0.908048 | + | 8.63950i | 0.0869753 | + | 0.827514i | 0.947854 | + | 0.318704i | \(0.103248\pi\) |
−0.860879 | + | 0.508810i | \(0.830086\pi\) | |||||||
\(110\) | −6.33126 | − | 8.23770i | −0.603662 | − | 0.785434i | ||||
\(111\) | −3.77108 | + | 4.23539i | −0.357936 | + | 0.402005i | ||||
\(112\) | −11.7375 | + | 5.29660i | −1.10909 | + | 0.500482i | ||||
\(113\) | −14.9518 | + | 10.8631i | −1.40655 | + | 1.02192i | −0.412733 | + | 0.910852i | \(0.635426\pi\) |
−0.993813 | + | 0.111063i | \(0.964574\pi\) | |||||||
\(114\) | 16.8555 | + | 3.48480i | 1.57866 | + | 0.326381i | ||||
\(115\) | −10.9581 | + | 2.63989i | −1.02185 | + | 0.246171i | ||||
\(116\) | 5.02881 | − | 0.528549i | 0.466913 | − | 0.0490746i | ||||
\(117\) | 12.3800 | − | 0.137834i | 1.14453 | − | 0.0127427i | ||||
\(118\) | −22.4508 | −2.06676 | ||||||||
\(119\) | −0.0581689 | − | 11.5923i | −0.00533234 | − | 1.06267i | ||||
\(120\) | 4.33669 | + | 1.25469i | 0.395884 | + | 0.114537i | ||||
\(121\) | 3.06686 | − | 3.40609i | 0.278805 | − | 0.309644i | ||||
\(122\) | −1.83320 | + | 8.62452i | −0.165970 | + | 0.780828i | ||||
\(123\) | −7.52162 | + | 2.49030i | −0.678202 | + | 0.224543i | ||||
\(124\) | 9.39009 | − | 5.42137i | 0.843255 | − | 0.486854i | ||||
\(125\) | −9.54650 | − | 5.81930i | −0.853865 | − | 0.520494i | ||||
\(126\) | 1.75547 | + | 14.4528i | 0.156390 | + | 1.28755i | ||||
\(127\) | −5.90313 | + | 8.12497i | −0.523818 | + | 0.720974i | −0.986173 | − | 0.165721i | \(-0.947005\pi\) |
0.462354 | + | 0.886695i | \(0.347005\pi\) | |||||||
\(128\) | 5.92480 | − | 6.58015i | 0.523683 | − | 0.581609i | ||||
\(129\) | 2.61113 | − | 8.19111i | 0.229898 | − | 0.721187i | ||||
\(130\) | −10.9829 | + | 12.8798i | −0.963267 | + | 1.12963i | ||||
\(131\) | 4.48639 | − | 0.953612i | 0.391978 | − | 0.0833175i | −0.00770637 | − | 0.999970i | \(-0.502453\pi\) |
0.399684 | + | 0.916653i | \(0.369120\pi\) | |||||||
\(132\) | −0.592635 | + | 5.95736i | −0.0515822 | + | 0.518522i | ||||
\(133\) | 12.4492 | + | 7.10447i | 1.07948 | + | 0.616036i | ||||
\(134\) | 6.13243 | + | 8.44057i | 0.529762 | + | 0.729154i | ||||
\(135\) | 6.41264 | − | 9.68907i | 0.551912 | − | 0.833902i | ||||
\(136\) | 2.07735 | + | 4.66580i | 0.178131 | + | 0.400089i | ||||
\(137\) | −1.28740 | − | 12.2488i | −0.109990 | − | 1.04649i | −0.900744 | − | 0.434351i | \(-0.856978\pi\) |
0.790754 | − | 0.612135i | \(-0.209689\pi\) | |||||||
\(138\) | 13.9136 | + | 7.93010i | 1.18441 | + | 0.675055i | ||||
\(139\) | 9.04448 | − | 12.4487i | 0.767143 | − | 1.05588i | −0.229443 | − | 0.973322i | \(-0.573691\pi\) |
0.996586 | − | 0.0825595i | \(-0.0263095\pi\) | |||||||
\(140\) | −6.67922 | − | 4.53368i | −0.564497 | − | 0.383166i | ||||
\(141\) | 4.75224 | + | 8.12631i | 0.400211 | + | 0.684359i | ||||
\(142\) | −0.152503 | − | 0.717469i | −0.0127977 | − | 0.0602086i | ||||
\(143\) | 9.05339 | + | 5.22698i | 0.757083 | + | 0.437102i | ||||
\(144\) | −7.44102 | − | 12.5631i | −0.620085 | − | 1.04693i | ||||
\(145\) | −5.04951 | − | 6.56999i | −0.419339 | − | 0.545608i | ||||
\(146\) | 6.37413 | + | 19.6176i | 0.527527 | + | 1.62356i | ||||
\(147\) | −2.33546 | + | 11.8973i | −0.192626 | + | 0.981272i | ||||
\(148\) | −2.62597 | + | 3.61434i | −0.215854 | + | 0.297097i | ||||
\(149\) | −4.59392 | + | 2.65230i | −0.376349 | + | 0.217285i | −0.676228 | − | 0.736692i | \(-0.736387\pi\) |
0.299880 | + | 0.953977i | \(0.403053\pi\) | |||||||
\(150\) | 4.22072 | + | 15.3142i | 0.344620 | + | 1.25040i | ||||
\(151\) | 5.90654 | − | 10.2304i | 0.480668 | − | 0.832541i | −0.519086 | − | 0.854722i | \(-0.673728\pi\) |
0.999754 | + | 0.0221809i | \(0.00706097\pi\) | |||||||
\(152\) | −6.28048 | − | 0.660105i | −0.509414 | − | 0.0535416i | ||||
\(153\) | 13.0565 | − | 1.51944i | 1.05556 | − | 0.122839i | ||||
\(154\) | −4.94367 | + | 11.2553i | −0.398373 | + | 0.906980i | ||||
\(155\) | −15.6218 | − | 8.46609i | −1.25477 | − | 0.680013i | ||||
\(156\) | 9.69432 | − | 1.07351i | 0.776167 | − | 0.0859493i | ||||
\(157\) | 9.09871 | − | 15.7594i | 0.726156 | − | 1.25774i | −0.232340 | − | 0.972635i | \(-0.574638\pi\) |
0.958496 | − | 0.285105i | \(-0.0920284\pi\) | |||||||
\(158\) | −0.378155 | − | 0.419983i | −0.0300844 | − | 0.0334121i | ||||
\(159\) | 10.9733 | + | 6.25426i | 0.870240 | + | 0.495995i | ||||
\(160\) | 14.5049 | + | 2.67657i | 1.14671 | + | 0.211601i | ||||
\(161\) | 8.97366 | + | 9.86625i | 0.707223 | + | 0.777569i | ||||
\(162\) | −16.0672 | + | 3.79094i | −1.26236 | + | 0.297845i | ||||
\(163\) | 5.60201 | − | 12.5823i | 0.438784 | − | 0.985524i | −0.549862 | − | 0.835256i | \(-0.685320\pi\) |
0.988645 | − | 0.150268i | \(-0.0480138\pi\) | |||||||
\(164\) | −5.70223 | + | 2.53880i | −0.445269 | + | 0.198247i | ||||
\(165\) | 8.82800 | − | 4.27976i | 0.687259 | − | 0.333179i | ||||
\(166\) | −7.60299 | + | 17.0766i | −0.590106 | + | 1.32540i | ||||
\(167\) | 14.7241 | + | 4.78415i | 1.13938 | + | 0.370208i | 0.817135 | − | 0.576447i | \(-0.195561\pi\) |
0.322249 | + | 0.946655i | \(0.395561\pi\) | |||||||
\(168\) | −1.16584 | − | 5.21291i | −0.0899465 | − | 0.402185i | ||||
\(169\) | 1.24580 | − | 3.83417i | 0.0958306 | − | 0.294936i | ||||
\(170\) | −10.1673 | + | 14.8184i | −0.779797 | + | 1.13652i | ||||
\(171\) | −6.44494 | + | 14.9204i | −0.492857 | + | 1.14099i | ||||
\(172\) | 1.40817 | − | 6.62490i | 0.107372 | − | 0.505144i | ||||
\(173\) | −18.4438 | − | 1.93852i | −1.40225 | − | 0.147383i | −0.626994 | − | 0.779024i | \(-0.715715\pi\) |
−0.775261 | + | 0.631641i | \(0.782382\pi\) | |||||||
\(174\) | −1.16544 | + | 11.7154i | −0.0883519 | + | 0.888142i | ||||
\(175\) | −0.605347 | + | 13.2149i | −0.0457599 | + | 0.998952i | ||||
\(176\) | − | 12.3290i | − | 0.929333i | ||||||
\(177\) | 4.29218 | − | 20.7607i | 0.322620 | − | 1.56047i | ||||
\(178\) | 3.16129 | + | 0.671953i | 0.236949 | + | 0.0503650i | ||||
\(179\) | 2.59802 | − | 12.2227i | 0.194185 | − | 0.913569i | −0.767847 | − | 0.640633i | \(-0.778672\pi\) |
0.962032 | − | 0.272936i | \(-0.0879946\pi\) | |||||||
\(180\) | 4.27147 | − | 8.09565i | 0.318377 | − | 0.603414i | ||||
\(181\) | 7.15434 | + | 2.32459i | 0.531778 | + | 0.172785i | 0.562584 | − | 0.826740i | \(-0.309807\pi\) |
−0.0308059 | + | 0.999525i | \(0.509807\pi\) | |||||||
\(182\) | 19.6109 | + | 4.06569i | 1.45366 | + | 0.301369i | ||||
\(183\) | −7.62481 | − | 3.34405i | −0.563642 | − | 0.247199i | ||||
\(184\) | −5.36785 | − | 2.38992i | −0.395723 | − | 0.176187i | ||||
\(185\) | 7.29904 | + | 0.568696i | 0.536636 | + | 0.0418114i | ||||
\(186\) | 7.93481 | + | 23.9661i | 0.581809 | + | 1.75728i | ||||
\(187\) | 10.1394 | + | 4.51435i | 0.741466 | + | 0.330122i | ||||
\(188\) | 4.35916 | + | 5.99987i | 0.317924 | + | 0.437585i | ||||
\(189\) | −13.7004 | − | 1.13978i | −0.996557 | − | 0.0829070i | ||||
\(190\) | −9.58191 | − | 20.0485i | −0.695145 | − | 1.45447i | ||||
\(191\) | 0.430178 | − | 0.966195i | 0.0311266 | − | 0.0699114i | −0.897313 | − | 0.441394i | \(-0.854484\pi\) |
0.928440 | + | 0.371483i | \(0.121151\pi\) | |||||||
\(192\) | −2.42619 | − | 3.30057i | −0.175095 | − | 0.238198i | ||||
\(193\) | −20.8637 | − | 12.0457i | −1.50180 | − | 0.867066i | −0.999998 | − | 0.00208449i | \(-0.999336\pi\) |
−0.501804 | − | 0.864981i | \(-0.667330\pi\) | |||||||
\(194\) | 11.7805 | − | 2.50403i | 0.845793 | − | 0.179779i | ||||
\(195\) | −9.81046 | − | 12.6185i | −0.702542 | − | 0.903631i | ||||
\(196\) | −0.903032 | + | 9.50879i | −0.0645023 | + | 0.679200i | ||||
\(197\) | 6.78866 | + | 20.8934i | 0.483672 | + | 1.48859i | 0.833895 | + | 0.551923i | \(0.186106\pi\) |
−0.350223 | + | 0.936667i | \(0.613894\pi\) | |||||||
\(198\) | −13.3041 | − | 4.15958i | −0.945479 | − | 0.295609i | ||||
\(199\) | −12.2412 | − | 7.06747i | −0.867757 | − | 0.501000i | −0.00115494 | − | 0.999999i | \(-0.500368\pi\) |
−0.866602 | + | 0.498999i | \(0.833701\pi\) | |||||||
\(200\) | −2.09718 | − | 5.43787i | −0.148293 | − | 0.384516i | ||||
\(201\) | −8.97759 | + | 4.05711i | −0.633230 | + | 0.286166i | ||||
\(202\) | 20.6363 | + | 14.9931i | 1.45196 | + | 1.05491i | ||||
\(203\) | −3.94283 | + | 8.97670i | −0.276733 | + | 0.630041i | ||||
\(204\) | 10.1169 | − | 2.20935i | 0.708327 | − | 0.154685i | ||||
\(205\) | 8.43431 | + | 5.78702i | 0.589078 | + | 0.404183i | ||||
\(206\) | −3.55436 | − | 3.94752i | −0.247644 | − | 0.275037i | ||||
\(207\) | −9.99317 | + | 11.3501i | −0.694573 | + | 0.788889i | ||||
\(208\) | −19.6473 | + | 4.17617i | −1.36230 | + | 0.289565i | ||||
\(209\) | −11.1025 | + | 8.06645i | −0.767977 | + | 0.557968i | ||||
\(210\) | 13.4859 | − | 13.0922i | 0.930614 | − | 0.903445i | ||||
\(211\) | 9.10252 | + | 6.61337i | 0.626644 | + | 0.455283i | 0.855236 | − | 0.518239i | \(-0.173412\pi\) |
−0.228592 | + | 0.973522i | \(0.573412\pi\) | |||||||
\(212\) | 9.09006 | + | 4.04716i | 0.624308 | + | 0.277960i | ||||
\(213\) | 0.692614 | − | 0.00385552i | 0.0474572 | − | 0.000264176i | ||||
\(214\) | −8.71572 | + | 3.88049i | −0.595794 | + | 0.265265i | ||||
\(215\) | −10.4594 | + | 3.71311i | −0.713328 | + | 0.253232i | ||||
\(216\) | 5.72840 | − | 1.96762i | 0.389768 | − | 0.133880i | ||||
\(217\) | 0.105494 | + | 21.0235i | 0.00716137 | + | 1.42717i | ||||
\(218\) | −15.9344 | −1.07921 | ||||||||
\(219\) | −19.3594 | + | 2.14377i | −1.30819 | + | 0.144863i | ||||
\(220\) | 6.58679 | − | 4.04349i | 0.444081 | − | 0.272612i | ||||
\(221\) | 3.75952 | − | 17.6872i | 0.252893 | − | 1.18977i | ||||
\(222\) | −7.00321 | − | 7.69132i | −0.470025 | − | 0.516208i | ||||
\(223\) | −13.3767 | − | 9.71875i | −0.895771 | − | 0.650816i | 0.0416054 | − | 0.999134i | \(-0.486753\pi\) |
−0.937376 | + | 0.348319i | \(0.886753\pi\) | |||||||
\(224\) | −5.47622 | − | 16.5707i | −0.365895 | − | 1.10718i | ||||
\(225\) | −14.9683 | + | 0.975199i | −0.997884 | + | 0.0650133i | ||||
\(226\) | −16.9499 | − | 29.3580i | −1.12749 | − | 1.95287i | ||||
\(227\) | −10.7540 | − | 24.1539i | −0.713769 | − | 1.60315i | −0.795110 | − | 0.606466i | \(-0.792587\pi\) |
0.0813401 | − | 0.996686i | \(-0.474080\pi\) | |||||||
\(228\) | −3.88882 | + | 12.1992i | −0.257543 | + | 0.807912i | ||||
\(229\) | 17.5310 | + | 15.7850i | 1.15848 | + | 1.04310i | 0.998431 | + | 0.0559948i | \(0.0178330\pi\) |
0.160052 | + | 0.987109i | \(0.448834\pi\) | |||||||
\(230\) | −2.71469 | − | 20.4961i | −0.179002 | − | 1.35147i | ||||
\(231\) | −9.46290 | − | 6.72334i | −0.622613 | − | 0.442363i | ||||
\(232\) | − | 4.31959i | − | 0.283595i | ||||||
\(233\) | −8.29524 | + | 1.76321i | −0.543439 | + | 0.115512i | −0.471448 | − | 0.881894i | \(-0.656269\pi\) |
−0.0719909 | + | 0.997405i | \(0.522935\pi\) | |||||||
\(234\) | −2.12221 | + | 22.6102i | −0.138733 | + | 1.47807i | ||||
\(235\) | 4.64205 | − | 11.2318i | 0.302814 | − | 0.732680i | ||||
\(236\) | 1.74575 | − | 16.6097i | 0.113639 | − | 1.08120i | ||||
\(237\) | 0.460664 | − | 0.269394i | 0.0299233 | − | 0.0174990i | ||||
\(238\) | 21.1580 | + | 2.11651i | 1.37147 | + | 0.137193i | ||||
\(239\) | 6.94087 | − | 9.55328i | 0.448967 | − | 0.617950i | −0.523208 | − | 0.852205i | \(-0.675265\pi\) |
0.972175 | + | 0.234255i | \(0.0752649\pi\) | |||||||
\(240\) | −7.10298 | + | 17.4609i | −0.458495 | + | 1.12709i | ||||
\(241\) | 18.9361 | − | 1.99026i | 1.21978 | − | 0.128204i | 0.527325 | − | 0.849664i | \(-0.323195\pi\) |
0.692456 | + | 0.721460i | \(0.256528\pi\) | |||||||
\(242\) | 5.62541 | + | 6.24765i | 0.361615 | + | 0.401614i | ||||
\(243\) | −0.433814 | − | 15.5824i | −0.0278292 | − | 0.999613i | ||||
\(244\) | −6.23811 | − | 2.02689i | −0.399354 | − | 0.129758i | ||||
\(245\) | 14.0540 | − | 6.89101i | 0.897875 | − | 0.440251i | ||||
\(246\) | −3.10069 | − | 14.1985i | −0.197693 | − | 0.905264i | ||||
\(247\) | 16.6153 | + | 14.9605i | 1.05721 | + | 0.951915i | ||||
\(248\) | −3.76742 | − | 8.46177i | −0.239232 | − | 0.537323i | ||||
\(249\) | −14.3375 | − | 10.2954i | −0.908604 | − | 0.652443i | ||||
\(250\) | 12.4460 | − | 16.2991i | 0.787155 | − | 1.03085i | ||||
\(251\) | −20.1721 | −1.27325 | −0.636627 | − | 0.771172i | \(-0.719671\pi\) | ||||
−0.636627 | + | 0.771172i | \(0.719671\pi\) | |||||||
\(252\) | −10.8291 | + | 0.174915i | −0.682167 | + | 0.0110186i | ||||
\(253\) | −12.1440 | + | 3.94583i | −0.763488 | + | 0.248072i | ||||
\(254\) | −13.6898 | − | 12.3264i | −0.858977 | − | 0.773426i | ||||
\(255\) | −11.7591 | − | 12.2349i | −0.736381 | − | 0.766181i | ||||
\(256\) | 14.0327 | + | 15.5848i | 0.877041 | + | 0.974053i | ||||
\(257\) | 13.7951 | − | 7.96460i | 0.860514 | − | 0.496818i | −0.00367045 | − | 0.999993i | \(-0.501168\pi\) |
0.864184 | + | 0.503175i | \(0.167835\pi\) | |||||||
\(258\) | 14.4417 | + | 6.33376i | 0.899100 | + | 0.394323i | ||||
\(259\) | −3.56303 | − | 7.89582i | −0.221396 | − | 0.490622i | ||||
\(260\) | −8.67478 | − | 9.12699i | −0.537987 | − | 0.566032i | ||||
\(261\) | −10.6107 | − | 3.31748i | −0.656784 | − | 0.205347i | ||||
\(262\) | 0.879404 | + | 8.36697i | 0.0543298 | + | 0.516913i | ||||
\(263\) | −2.26867 | − | 21.5850i | −0.139892 | − | 1.33099i | −0.808995 | − | 0.587816i | \(-0.799988\pi\) |
0.669102 | − | 0.743170i | \(-0.266679\pi\) | |||||||
\(264\) | 5.00836 | + | 1.03545i | 0.308243 | + | 0.0637278i | ||||
\(265\) | −2.14100 | − | 16.1647i | −0.131521 | − | 0.992991i | ||||
\(266\) | −15.3470 | + | 21.3477i | −0.940983 | + | 1.30891i | ||||
\(267\) | −1.22575 | + | 2.79485i | −0.0750147 | + | 0.171042i | ||||
\(268\) | −6.72142 | + | 3.88061i | −0.410576 | + | 0.237046i | ||||
\(269\) | −18.3011 | − | 20.3254i | −1.11584 | − | 1.23926i | −0.968189 | − | 0.250220i | \(-0.919497\pi\) |
−0.147646 | − | 0.989040i | \(-0.547170\pi\) | |||||||
\(270\) | 16.4454 | + | 13.5557i | 1.00084 | + | 0.824975i | ||||
\(271\) | −4.27123 | − | 3.84584i | −0.259459 | − | 0.233618i | 0.529127 | − | 0.848543i | \(-0.322520\pi\) |
−0.788586 | + | 0.614925i | \(0.789186\pi\) | |||||||
\(272\) | −20.2818 | + | 6.58996i | −1.22977 | + | 0.399575i | ||||
\(273\) | −7.50888 | + | 17.3574i | −0.454458 | + | 1.05052i | ||||
\(274\) | 22.5913 | 1.36479 | ||||||||
\(275\) | −11.2941 | − | 5.73236i | −0.681059 | − | 0.345674i | ||||
\(276\) | −6.94882 | + | 9.67705i | −0.418270 | + | 0.582490i | ||||
\(277\) | 8.06467 | + | 18.1135i | 0.484559 | + | 1.08834i | 0.976068 | + | 0.217465i | \(0.0697788\pi\) |
−0.491509 | + | 0.870873i | \(0.663554\pi\) | |||||||
\(278\) | 20.9749 | + | 18.8859i | 1.25799 | + | 1.13270i | ||||
\(279\) | −23.6789 | + | 2.75561i | −1.41762 | + | 0.164974i | ||||
\(280\) | −4.44816 | + | 5.26972i | −0.265828 | + | 0.314926i | ||||
\(281\) | 3.72928 | + | 1.21172i | 0.222470 | + | 0.0722850i | 0.418131 | − | 0.908387i | \(-0.362685\pi\) |
−0.195661 | + | 0.980672i | \(0.562685\pi\) | |||||||
\(282\) | −15.7353 | + | 7.11101i | −0.937022 | + | 0.423455i | ||||
\(283\) | 4.29416 | + | 4.76914i | 0.255261 | + | 0.283496i | 0.857132 | − | 0.515098i | \(-0.172244\pi\) |
−0.601870 | + | 0.798594i | \(0.705578\pi\) | |||||||
\(284\) | 0.542662 | − | 0.0570360i | 0.0322010 | − | 0.00338447i | ||||
\(285\) | 20.3711 | − | 5.02769i | 1.20668 | − | 0.297815i | ||||
\(286\) | −11.2709 | + | 15.5131i | −0.666465 | + | 0.917310i | ||||
\(287\) | 1.20468 | − | 12.0427i | 0.0711098 | − | 0.710859i | ||||
\(288\) | 17.9873 | − | 8.24961i | 1.05991 | − | 0.486113i | ||||
\(289\) | 0.229748 | − | 2.18591i | 0.0135146 | − | 0.128583i | ||||
\(290\) | 12.9532 | − | 7.95169i | 0.760638 | − | 0.466939i | ||||
\(291\) | 0.0633060 | + | 11.3724i | 0.00371106 | + | 0.666664i | ||||
\(292\) | −15.0093 | + | 3.19031i | −0.878350 | + | 0.186699i | ||||
\(293\) | 28.5814i | 1.66974i | 0.550445 | + | 0.834872i | \(0.314458\pi\) | ||||
−0.550445 | + | 0.834872i | \(0.685542\pi\) | |||||||
\(294\) | −21.2554 | − | 6.54148i | −1.23964 | − | 0.381507i | ||||
\(295\) | −24.6934 | + | 11.8019i | −1.43771 | + | 0.687134i | ||||
\(296\) | 2.83620 | + | 2.55373i | 0.164851 | + | 0.148432i | ||||
\(297\) | 6.38995 | − | 11.5073i | 0.370783 | − | 0.667722i | ||||
\(298\) | −3.95756 | − | 8.88881i | −0.229255 | − | 0.514915i | ||||
\(299\) | 10.4015 | + | 18.0160i | 0.601537 | + | 1.04189i | ||||
\(300\) | −11.6580 | + | 1.93179i | −0.673077 | + | 0.111532i | ||||
\(301\) | 9.80331 | + | 8.73826i | 0.565053 | + | 0.503665i | ||||
\(302\) | 17.5300 | + | 12.7363i | 1.00874 | + | 0.732892i | ||||
\(303\) | −17.8097 | + | 16.2164i | −1.02314 | + | 0.931607i | ||||
\(304\) | 5.48228 | − | 25.7921i | 0.314430 | − | 1.47928i | ||||
\(305\) | 2.51741 | + | 10.4497i | 0.144147 | + | 0.598349i | ||||
\(306\) | 0.268421 | + | 24.1092i | 0.0153446 | + | 1.37823i | ||||
\(307\) | −18.2697 | −1.04271 | −0.521354 | − | 0.853341i | \(-0.674573\pi\) | ||||
−0.521354 | + | 0.853341i | \(0.674573\pi\) | |||||||
\(308\) | −7.94259 | − | 4.53267i | −0.452571 | − | 0.258273i | ||||
\(309\) | 4.32989 | − | 2.53210i | 0.246319 | − | 0.144046i | ||||
\(310\) | 18.4391 | − | 26.8742i | 1.04727 | − | 1.52635i | ||||
\(311\) | −13.7061 | + | 6.10235i | −0.777202 | + | 0.346033i | −0.756704 | − | 0.653757i | \(-0.773192\pi\) |
−0.0204978 | + | 0.999790i | \(0.506525\pi\) | |||||||
\(312\) | −0.0463810 | − | 8.33200i | −0.00262581 | − | 0.471706i | ||||
\(313\) | −11.3396 | − | 5.04871i | −0.640952 | − | 0.285370i | 0.0604120 | − | 0.998174i | \(-0.480759\pi\) |
−0.701364 | + | 0.712803i | \(0.747425\pi\) | |||||||
\(314\) | 27.0040 | + | 19.6196i | 1.52393 | + | 1.10720i | ||||
\(315\) | 9.52835 | + | 14.9737i | 0.536862 | + | 0.843670i | ||||
\(316\) | 0.340120 | − | 0.247112i | 0.0191332 | − | 0.0139011i | ||||
\(317\) | 26.6281 | − | 5.65997i | 1.49558 | − | 0.317896i | 0.613765 | − | 0.789489i | \(-0.289654\pi\) |
0.881816 | + | 0.471593i | \(0.156321\pi\) | |||||||
\(318\) | −13.5130 | + | 18.8185i | −0.757773 | + | 1.05529i | ||||
\(319\) | −6.28115 | − | 6.97592i | −0.351677 | − | 0.390577i | ||||
\(320\) | −1.49801 | + | 5.07178i | −0.0837414 | + | 0.283521i | ||||
\(321\) | −1.92208 | − | 8.80149i | −0.107280 | − | 0.491251i | ||||
\(322\) | −19.7187 | + | 14.4782i | −1.09888 | + | 0.806837i | ||||
\(323\) | 19.2041 | + | 13.9526i | 1.06855 | + | 0.776344i | ||||
\(324\) | −1.55528 | − | 12.1817i | −0.0864042 | − | 0.676762i | ||||
\(325\) | −5.30941 | + | 19.9398i | −0.294513 | + | 1.10606i | ||||
\(326\) | 21.8788 | + | 12.6317i | 1.21175 | + | 0.699605i | ||||
\(327\) | 3.04637 | − | 14.7349i | 0.168464 | − | 0.814840i | ||||
\(328\) | 1.64774 | + | 5.07122i | 0.0909812 | + | 0.280011i | ||||
\(329\) | −14.2934 | + | 1.57485i | −0.788021 | + | 0.0868243i | ||||
\(330\) | 6.11457 | + | 16.9247i | 0.336596 | + | 0.931675i | ||||
\(331\) | 2.25054 | − | 0.478367i | 0.123701 | − | 0.0262934i | −0.145645 | − | 0.989337i | \(-0.546526\pi\) |
0.269346 | + | 0.963043i | \(0.413192\pi\) | |||||||
\(332\) | −12.0425 | − | 6.95276i | −0.660920 | − | 0.381582i | ||||
\(333\) | 8.45121 | − | 5.00558i | 0.463124 | − | 0.274304i | ||||
\(334\) | −11.5504 | + | 25.9426i | −0.632009 | + | 1.41951i | ||||
\(335\) | 11.1820 | + | 6.06002i | 0.610940 | + | 0.331094i | ||||
\(336\) | 22.1559 | − | 2.56605i | 1.20870 | − | 0.139989i | ||||
\(337\) | 1.04431 | + | 1.43738i | 0.0568874 | + | 0.0782989i | 0.836513 | − | 0.547947i | \(-0.184591\pi\) |
−0.779625 | + | 0.626246i | \(0.784591\pi\) | |||||||
\(338\) | 6.75548 | + | 3.00773i | 0.367450 | + | 0.163599i | ||||
\(339\) | 30.3885 | − | 10.0612i | 1.65048 | − | 0.546449i | ||||
\(340\) | −10.1724 | − | 8.67432i | −0.551678 | − | 0.470431i | ||||
\(341\) | −18.3885 | − | 8.18709i | −0.995794 | − | 0.443356i | ||||
\(342\) | −25.9823 | − | 14.6177i | −1.40496 | − | 0.790433i | ||||
\(343\) | −15.1454 | − | 10.6592i | −0.817773 | − | 0.575541i | ||||
\(344\) | −5.50266 | − | 1.78792i | −0.296684 | − | 0.0963984i | ||||
\(345\) | 19.4722 | + | 1.40815i | 1.04835 | + | 0.0758121i | ||||
\(346\) | 7.07254 | − | 33.2737i | 0.380222 | − | 1.78881i | ||||
\(347\) | 14.7422 | + | 3.13356i | 0.791404 | + | 0.168218i | 0.585841 | − | 0.810426i | \(-0.300764\pi\) |
0.205563 | + | 0.978644i | \(0.434098\pi\) | |||||||
\(348\) | −8.57675 | − | 1.77320i | −0.459762 | − | 0.0950537i | ||||
\(349\) | − | 24.8127i | − | 1.32819i | −0.747647 | − | 0.664097i | \(-0.768816\pi\) | ||
0.747647 | − | 0.664097i | \(-0.231184\pi\) | |||||||
\(350\) | −23.9907 | − | 3.63801i | −1.28236 | − | 0.194460i | ||||
\(351\) | −20.5024 | − | 6.28511i | −1.09434 | − | 0.335474i | ||||
\(352\) | 16.6176 | + | 1.74658i | 0.885720 | + | 0.0930930i | ||||
\(353\) | −3.28926 | + | 15.4748i | −0.175070 | + | 0.823639i | 0.799695 | + | 0.600406i | \(0.204994\pi\) |
−0.974765 | + | 0.223233i | \(0.928339\pi\) | |||||||
\(354\) | 37.0490 | + | 11.8104i | 1.96913 | + | 0.627714i | ||||
\(355\) | −0.544895 | − | 0.708970i | −0.0289200 | − | 0.0376282i | ||||
\(356\) | −0.742948 | + | 2.28656i | −0.0393762 | + | 0.121187i | ||||
\(357\) | −6.00222 | + | 19.1606i | −0.317671 | + | 1.01409i | ||||
\(358\) | 21.7987 | + | 7.08283i | 1.15210 | + | 0.374339i | ||||
\(359\) | 4.31164 | − | 9.68411i | 0.227560 | − | 0.511108i | −0.763293 | − | 0.646052i | \(-0.776419\pi\) |
0.990853 | + | 0.134944i | \(0.0430856\pi\) | |||||||
\(360\) | −6.49652 | − | 4.35187i | −0.342396 | − | 0.229364i | ||||
\(361\) | −9.45584 | + | 4.21001i | −0.497676 | + | 0.221580i | ||||
\(362\) | −5.61226 | + | 12.6053i | −0.294974 | + | 0.662522i | ||||
\(363\) | −6.85281 | + | 4.00750i | −0.359679 | + | 0.210339i | ||||
\(364\) | −4.53284 | + | 14.1926i | −0.237585 | + | 0.743892i | ||||
\(365\) | 17.3234 | + | 18.2264i | 0.906748 | + | 0.954015i | ||||
\(366\) | 7.56218 | − | 13.2681i | 0.395281 | − | 0.693535i | ||||
\(367\) | −19.1517 | − | 21.2701i | −0.999712 | − | 1.11029i | −0.993897 | − | 0.110310i | \(-0.964816\pi\) |
−0.00581483 | − | 0.999983i | \(-0.501851\pi\) | |||||||
\(368\) | 12.2672 | − | 21.2474i | 0.639471 | − | 1.10760i | ||||
\(369\) | 13.7225 | − | 0.152780i | 0.714363 | − | 0.00795341i | ||||
\(370\) | −2.43688 | + | 13.2060i | −0.126688 | + | 0.686545i | ||||
\(371\) | −15.5516 | + | 11.4185i | −0.807398 | + | 0.592821i | ||||
\(372\) | −18.3478 | + | 4.00681i | −0.951288 | + | 0.207744i | ||||
\(373\) | 29.2607 | + | 3.07542i | 1.51506 | + | 0.159239i | 0.825257 | − | 0.564758i | \(-0.191031\pi\) |
0.689803 | + | 0.723997i | \(0.257697\pi\) | |||||||
\(374\) | −10.1792 | + | 17.6309i | −0.526353 | + | 0.911670i | ||||
\(375\) | 12.6927 | + | 14.6252i | 0.655447 | + | 0.755241i | ||||
\(376\) | 5.48664 | − | 3.16771i | 0.282952 | − | 0.163362i | ||||
\(377\) | −8.98915 | + | 12.3725i | −0.462965 | + | 0.637217i | ||||
\(378\) | 4.70602 | − | 24.7739i | 0.242051 | − | 1.27423i | ||||
\(379\) | −5.84655 | − | 17.9938i | −0.300317 | − | 0.924282i | −0.981383 | − | 0.192060i | \(-0.938483\pi\) |
0.681066 | − | 0.732222i | \(-0.261517\pi\) | |||||||
\(380\) | 15.5775 | − | 5.53001i | 0.799108 | − | 0.283683i | ||||
\(381\) | 14.0157 | − | 10.3027i | 0.718047 | − | 0.527824i | ||||
\(382\) | 1.68007 | + | 0.969987i | 0.0859597 | + | 0.0496288i | ||||
\(383\) | 2.12917 | + | 10.0170i | 0.108796 | + | 0.511844i | 0.998472 | + | 0.0552526i | \(0.0175964\pi\) |
−0.889677 | + | 0.456591i | \(0.849070\pi\) | |||||||
\(384\) | −13.2388 | + | 7.74201i | −0.675591 | + | 0.395083i | ||||
\(385\) | 0.479186 | + | 14.9784i | 0.0244216 | + | 0.763371i | ||||
\(386\) | 25.9741 | − | 35.7503i | 1.32205 | − | 1.81964i | ||||
\(387\) | −8.61795 | + | 12.1436i | −0.438075 | + | 0.617296i | ||||
\(388\) | 0.936508 | + | 8.91028i | 0.0475440 | + | 0.452351i | ||||
\(389\) | 12.4471 | + | 27.9567i | 0.631094 | + | 1.41746i | 0.891973 | + | 0.452088i | \(0.149321\pi\) |
−0.260879 | + | 0.965371i | \(0.584012\pi\) | |||||||
\(390\) | 24.8998 | − | 15.4770i | 1.26085 | − | 0.783707i | ||||
\(391\) | 12.9822 | + | 17.8684i | 0.656537 | + | 0.903646i | ||||
\(392\) | 7.99788 | + | 1.61629i | 0.403954 | + | 0.0816348i | ||||
\(393\) | −7.90524 | − | 0.786409i | −0.398767 | − | 0.0396691i | ||||
\(394\) | −39.4155 | + | 8.37803i | −1.98573 | + | 0.422079i | ||||
\(395\) | −0.636705 | − | 0.263148i | −0.0320361 | − | 0.0132404i | ||||
\(396\) | 4.11188 | − | 9.51927i | 0.206630 | − | 0.478361i | ||||
\(397\) | 17.5266 | − | 19.4652i | 0.879634 | − | 0.976933i | −0.120241 | − | 0.992745i | \(-0.538367\pi\) |
0.999875 | + | 0.0158121i | \(0.00503336\pi\) | |||||||
\(398\) | 15.2396 | − | 20.9755i | 0.763893 | − | 1.05141i | ||||
\(399\) | −16.8066 | − | 18.2730i | −0.841385 | − | 0.914793i | ||||
\(400\) | 23.4965 | − | 6.33534i | 1.17483 | − | 0.316767i | ||||
\(401\) | 3.84920 | − | 2.22233i | 0.192220 | − | 0.110978i | −0.400802 | − | 0.916165i | \(-0.631268\pi\) |
0.593021 | + | 0.805187i | \(0.297935\pi\) | |||||||
\(402\) | −5.67973 | − | 17.1549i | −0.283279 | − | 0.855609i | ||||
\(403\) | −6.81816 | + | 32.0769i | −0.339637 | + | 1.59787i | ||||
\(404\) | −12.6970 | + | 14.1014i | −0.631698 | + | 0.701572i | ||||
\(405\) | −15.6793 | + | 12.6158i | −0.779112 | + | 0.626884i | ||||
\(406\) | −15.6194 | − | 8.91369i | −0.775180 | − | 0.442379i | ||||
\(407\) | 8.29372 | 0.411104 | ||||||||
\(408\) | −0.973639 | − | 8.79246i | −0.0482023 | − | 0.435292i | ||||
\(409\) | 7.87786 | − | 0.827997i | 0.389535 | − | 0.0409418i | 0.0922633 | − | 0.995735i | \(-0.470590\pi\) |
0.297272 | + | 0.954793i | \(0.403923\pi\) | |||||||
\(410\) | −12.1739 | + | 14.2764i | −0.601226 | + | 0.705062i | ||||
\(411\) | −4.31904 | + | 20.8906i | −0.213042 | + | 1.03046i | ||||
\(412\) | 3.19687 | − | 2.32266i | 0.157498 | − | 0.114429i | ||||
\(413\) | 26.2937 | + | 18.9027i | 1.29383 | + | 0.930140i | ||||
\(414\) | −18.7891 | − | 20.4058i | −0.923432 | − | 1.00289i | ||||
\(415\) | 0.614343 | + | 22.7791i | 0.0301569 | + | 1.11818i | ||||
\(416\) | −2.84551 | − | 27.0732i | −0.139513 | − | 1.32737i | ||||
\(417\) | −21.4742 | + | 15.7853i | −1.05159 | + | 0.773009i | ||||
\(418\) | −12.5862 | − | 21.7999i | −0.615611 | − | 1.06627i | ||||
\(419\) | −1.82024 | + | 5.60213i | −0.0889247 | + | 0.273682i | −0.985623 | − | 0.168961i | \(-0.945959\pi\) |
0.896698 | + | 0.442643i | \(0.145959\pi\) | |||||||
\(420\) | 8.63729 | + | 10.9953i | 0.421457 | + | 0.536514i | ||||
\(421\) | 4.51788 | + | 13.9046i | 0.220188 | + | 0.677669i | 0.998744 | + | 0.0500943i | \(0.0159522\pi\) |
−0.778557 | + | 0.627574i | \(0.784048\pi\) | |||||||
\(422\) | −13.8094 | + | 15.3369i | −0.672233 | + | 0.746590i | ||||
\(423\) | −3.56741 | − | 15.9102i | −0.173453 | − | 0.773582i | ||||
\(424\) | 4.25009 | − | 7.36138i | 0.206403 | − | 0.357500i | ||||
\(425\) | −3.39323 | + | 21.6434i | −0.164596 | + | 1.04986i | ||||
\(426\) | −0.125763 | + | 1.26421i | −0.00609325 | + | 0.0612514i | ||||
\(427\) | 9.40849 | − | 8.55732i | 0.455309 | − | 0.414118i | ||||
\(428\) | −2.19317 | − | 6.74987i | −0.106011 | − | 0.326267i | ||||
\(429\) | −12.1905 | − | 13.3883i | −0.588564 | − | 0.646394i | ||||
\(430\) | −4.76808 | − | 19.7922i | −0.229937 | − | 0.954463i | ||||
\(431\) | 19.5245 | − | 17.5800i | 0.940463 | − | 0.846797i | −0.0479087 | − | 0.998852i | \(-0.515256\pi\) |
0.988372 | + | 0.152055i | \(0.0485890\pi\) | |||||||
\(432\) | 5.67052 | + | 24.6464i | 0.272823 | + | 1.18580i | ||||
\(433\) | −0.690128 | + | 2.12399i | −0.0331654 | + | 0.102073i | −0.966269 | − | 0.257535i | \(-0.917090\pi\) |
0.933103 | + | 0.359608i | \(0.117090\pi\) | |||||||
\(434\) | −38.3716 | − | 3.83845i | −1.84190 | − | 0.184251i | ||||
\(435\) | 4.87668 | + | 13.4983i | 0.233819 | + | 0.647195i | ||||
\(436\) | 1.23904 | − | 11.7887i | 0.0593394 | − | 0.564576i | ||||
\(437\) | −27.1597 | + | 2.85460i | −1.29923 | + | 0.136554i | ||||
\(438\) | −0.198877 | − | 35.7267i | −0.00950269 | − | 1.70709i | ||||
\(439\) | 6.79584 | + | 0.714272i | 0.324348 | + | 0.0340903i | 0.265303 | − | 0.964165i | \(-0.414528\pi\) |
0.0590445 | + | 0.998255i | \(0.481195\pi\) | |||||||
\(440\) | −2.84711 | − | 5.95709i | −0.135731 | − | 0.283993i | ||||
\(441\) | 10.1127 | − | 18.4047i | 0.481557 | − | 0.876415i | ||||
\(442\) | 31.5443 | + | 10.2494i | 1.50041 | + | 0.487513i | ||||
\(443\) | −7.69420 | − | 13.3268i | −0.365563 | − | 0.633173i | 0.623304 | − | 0.781980i | \(-0.285790\pi\) |
−0.988866 | + | 0.148807i | \(0.952457\pi\) | |||||||
\(444\) | 6.23481 | − | 4.58310i | 0.295891 | − | 0.217504i | ||||
\(445\) | 3.83031 | − | 0.922748i | 0.181574 | − | 0.0437425i | ||||
\(446\) | 20.2938 | − | 22.5386i | 0.960940 | − | 1.06723i | ||||
\(447\) | 8.97629 | − | 1.96026i | 0.424564 | − | 0.0927169i | ||||
\(448\) | 6.11396 | − | 1.33166i | 0.288857 | − | 0.0629151i | ||||
\(449\) | 5.35317i | 0.252632i | 0.991990 | + | 0.126316i | \(0.0403153\pi\) | ||||
−0.991990 | + | 0.126316i | \(0.959685\pi\) | |||||||
\(450\) | 1.09093 | − | 27.4923i | 0.0514270 | − | 1.29600i | ||||
\(451\) | 10.0351 | + | 5.79378i | 0.472535 | + | 0.272818i | ||||
\(452\) | 23.0379 | − | 10.2571i | 1.08361 | − | 0.482455i | ||||
\(453\) | −15.1289 | + | 13.7754i | −0.710820 | + | 0.647226i | ||||
\(454\) | 46.1238 | − | 14.9865i | 2.16470 | − | 0.703352i | ||||
\(455\) | 23.7071 | − | 5.83724i | 1.11141 | − | 0.273654i | ||||
\(456\) | 10.0170 | + | 4.39320i | 0.469089 | + | 0.205731i | ||||
\(457\) | −8.31769 | + | 4.80222i | −0.389085 | + | 0.224638i | −0.681764 | − | 0.731572i | \(-0.738787\pi\) |
0.292678 | + | 0.956211i | \(0.405453\pi\) | |||||||
\(458\) | −32.1565 | + | 28.9538i | −1.50257 | + | 1.35292i | ||||
\(459\) | −22.3456 | − | 4.36102i | −1.04300 | − | 0.203555i | ||||
\(460\) | 15.3747 | − | 0.414648i | 0.716848 | − | 0.0193331i | ||||
\(461\) | −21.3157 | − | 15.4867i | −0.992769 | − | 0.721289i | −0.0322432 | − | 0.999480i | \(-0.510265\pi\) |
−0.960526 | + | 0.278191i | \(0.910265\pi\) | |||||||
\(462\) | 14.0791 | − | 15.9733i | 0.655021 | − | 0.743143i | ||||
\(463\) | 7.69328 | + | 10.5889i | 0.357537 | + | 0.492108i | 0.949460 | − | 0.313887i | \(-0.101631\pi\) |
−0.591923 | + | 0.805994i | \(0.701631\pi\) | |||||||
\(464\) | 17.9375 | + | 1.88530i | 0.832726 | + | 0.0875231i | ||||
\(465\) | 21.3259 | + | 22.1889i | 0.988965 | + | 1.02899i | ||||
\(466\) | −1.62600 | − | 15.4703i | −0.0753229 | − | 0.716650i | ||||
\(467\) | −1.49070 | − | 7.01319i | −0.0689813 | − | 0.324532i | 0.930104 | − | 0.367297i | \(-0.119717\pi\) |
−0.999085 | + | 0.0427651i | \(0.986383\pi\) | |||||||
\(468\) | −16.5626 | − | 3.32821i | −0.765607 | − | 0.153847i | ||||
\(469\) | −0.0755122 | − | 15.0486i | −0.00348683 | − | 0.694881i | ||||
\(470\) | 19.5991 | + | 10.6216i | 0.904039 | + | 0.489937i | ||||
\(471\) | −23.3053 | + | 21.2203i | −1.07385 | + | 0.977779i | ||||
\(472\) | −13.9555 | − | 2.96632i | −0.642352 | − | 0.136536i | ||||
\(473\) | −11.4864 | + | 5.11406i | −0.528143 | + | 0.235145i | ||||
\(474\) | 0.403108 | + | 0.892000i | 0.0185154 | + | 0.0409709i | ||||
\(475\) | −21.0781 | − | 17.0141i | −0.967130 | − | 0.780662i | ||||
\(476\) | −3.21108 | + | 15.4887i | −0.147180 | + | 0.709924i | ||||
\(477\) | −14.8184 | − | 16.0935i | −0.678489 | − | 0.736873i | ||||
\(478\) | 16.0964 | + | 14.4933i | 0.736233 | + | 0.662907i | ||||
\(479\) | −1.67692 | − | 0.356440i | −0.0766203 | − | 0.0162861i | 0.169442 | − | 0.985540i | \(-0.445803\pi\) |
−0.246062 | + | 0.969254i | \(0.579137\pi\) | |||||||
\(480\) | −22.5283 | − | 12.0473i | −1.02827 | − | 0.549882i | ||||
\(481\) | −2.80931 | − | 13.2168i | −0.128094 | − | 0.602633i | ||||
\(482\) | 34.9251i | 1.59079i | ||||||||
\(483\) | −9.61843 | − | 21.0022i | −0.437654 | − | 0.955635i | ||||
\(484\) | −5.05961 | + | 3.67602i | −0.229982 | + | 0.167092i | ||||
\(485\) | 11.6410 | − | 8.94694i | 0.528591 | − | 0.406260i | ||||
\(486\) | 28.5088 | + | 2.19629i | 1.29319 | + | 0.0996256i | ||||
\(487\) | 6.69025 | − | 0.703174i | 0.303164 | − | 0.0318638i | 0.0482749 | − | 0.998834i | \(-0.484628\pi\) |
0.254889 | + | 0.966970i | \(0.417961\pi\) | |||||||
\(488\) | −2.27904 | + | 5.11881i | −0.103167 | + | 0.231718i | ||||
\(489\) | −15.8636 | + | 17.8168i | −0.717378 | + | 0.805703i | ||||
\(490\) | 9.87607 | + | 26.9586i | 0.446155 | + | 1.21787i | ||||
\(491\) | 10.6907 | + | 14.7145i | 0.482465 | + | 0.664056i | 0.978976 | − | 0.203974i | \(-0.0653859\pi\) |
−0.496511 | + | 0.868030i | \(0.665386\pi\) | |||||||
\(492\) | 10.7456 | − | 1.18992i | 0.484447 | − | 0.0536455i | ||||
\(493\) | −8.11842 | + | 14.0615i | −0.365635 | + | 0.633299i | ||||
\(494\) | −30.4768 | + | 27.4415i | −1.37122 | + | 1.23465i | ||||
\(495\) | −16.8196 | + | 2.41858i | −0.755986 | + | 0.108707i | ||||
\(496\) | 36.7825 | − | 11.9514i | 1.65158 | − | 0.536632i | ||||
\(497\) | −0.425473 | + | 0.968680i | −0.0190851 | + | 0.0434513i | ||||
\(498\) | 21.5299 | − | 24.1807i | 0.964779 | − | 1.08357i | ||||
\(499\) | 21.4283 | + | 37.1150i | 0.959264 | + | 1.66149i | 0.724293 | + | 0.689492i | \(0.242166\pi\) |
0.234972 | + | 0.972002i | \(0.424500\pi\) | |||||||
\(500\) | 11.0907 | + | 10.4753i | 0.495993 | + | 0.468470i | ||||
\(501\) | −21.7814 | − | 15.6406i | −0.973123 | − | 0.698772i | ||||
\(502\) | 3.86765 | − | 36.7982i | 0.172622 | − | 1.64239i | ||||
\(503\) | 0.366134 | − | 0.118964i | 0.0163251 | − | 0.00530434i | −0.300843 | − | 0.953674i | \(-0.597268\pi\) |
0.317168 | + | 0.948369i | \(0.397268\pi\) | |||||||
\(504\) | −0.818374 | + | 9.21581i | −0.0364533 | + | 0.410505i | ||||
\(505\) | 30.5792 | + | 5.64276i | 1.36076 | + | 0.251099i | ||||
\(506\) | −4.86963 | − | 22.9098i | −0.216481 | − | 1.01846i | ||||
\(507\) | −4.07284 | + | 5.67191i | −0.180881 | + | 0.251898i | ||||
\(508\) | 10.1839 | − | 9.16963i | 0.451838 | − | 0.406837i | ||||
\(509\) | −22.2127 | − | 9.88972i | −0.984560 | − | 0.438354i | −0.149649 | − | 0.988739i | \(-0.547814\pi\) |
−0.834911 | + | 0.550385i | \(0.814481\pi\) | |||||||
\(510\) | 24.5737 | − | 19.1052i | 1.08814 | − | 0.845992i | ||||
\(511\) | 9.05199 | − | 28.3423i | 0.400437 | − | 1.25379i | ||||
\(512\) | −16.7937 | + | 12.2014i | −0.742186 | + | 0.539230i | ||||
\(513\) | 18.4846 | − | 21.2318i | 0.816115 | − | 0.937406i | ||||
\(514\) | 11.8841 | + | 26.6922i | 0.524187 | + | 1.17734i | ||||
\(515\) | −5.98455 | − | 2.47339i | −0.263711 | − | 0.108991i | ||||
\(516\) | −5.80886 | + | 10.1918i | −0.255721 | + | 0.448671i | ||||
\(517\) | 4.25445 | − | 13.0939i | 0.187111 | − | 0.575867i | ||||
\(518\) | 15.0868 | − | 4.98583i | 0.662876 | − | 0.219065i | ||||
\(519\) | 29.4168 | + | 12.9015i | 1.29125 | + | 0.566311i | ||||
\(520\) | −8.52876 | + | 6.55496i | −0.374011 | + | 0.287454i | ||||
\(521\) | 27.2184 | + | 5.78544i | 1.19246 | + | 0.253465i | 0.761051 | − | 0.648692i | \(-0.224684\pi\) |
0.431408 | + | 0.902157i | \(0.358017\pi\) | |||||||
\(522\) | 8.08620 | − | 18.7200i | 0.353923 | − | 0.819354i | ||||
\(523\) | 1.90767 | − | 18.1503i | 0.0834168 | − | 0.793658i | −0.870213 | − | 0.492676i | \(-0.836019\pi\) |
0.953630 | − | 0.300982i | \(-0.0973144\pi\) | |||||||
\(524\) | −6.25850 | −0.273404 | ||||||||
\(525\) | 7.95073 | − | 21.4892i | 0.346998 | − | 0.937866i | ||||
\(526\) | 39.8105 | 1.73582 | ||||||||
\(527\) | −3.63935 | + | 34.6261i | −0.158533 | + | 1.50834i | ||||
\(528\) | −6.48573 | + | 20.3457i | −0.282255 | + | 0.885433i | ||||
\(529\) | −2.35724 | − | 0.501048i | −0.102489 | − | 0.0217847i | ||||
\(530\) | 29.8984 | − | 0.806346i | 1.29870 | − | 0.0350254i | ||||
\(531\) | −18.0044 | + | 32.0021i | −0.781324 | + | 1.38877i | ||||
\(532\) | −14.6003 | − | 13.0141i | −0.633002 | − | 0.564232i | ||||
\(533\) | 5.83373 | − | 17.9544i | 0.252687 | − | 0.777690i | ||||
\(534\) | −4.86338 | − | 2.77189i | −0.210459 | − | 0.119951i | ||||
\(535\) | −7.54645 | + | 8.84979i | −0.326262 | + | 0.382610i | ||||
\(536\) | 2.69672 | + | 6.05693i | 0.116480 | + | 0.261619i | ||||
\(537\) | −10.7172 | + | 18.8036i | −0.462479 | + | 0.811436i | ||||
\(538\) | 40.5867 | − | 29.4880i | 1.74982 | − | 1.27132i | ||||
\(539\) | 15.2664 | − | 9.01955i | 0.657572 | − | 0.388500i | ||||
\(540\) | −11.3077 | + | 11.1127i | −0.486605 | + | 0.478214i | ||||
\(541\) | −30.0025 | − | 13.3580i | −1.28991 | − | 0.574305i | −0.356896 | − | 0.934144i | \(-0.616165\pi\) |
−0.933014 | + | 0.359839i | \(0.882832\pi\) | |||||||
\(542\) | 7.83455 | − | 7.05426i | 0.336523 | − | 0.303007i | ||||
\(543\) | −10.5835 | − | 7.59968i | −0.454180 | − | 0.326134i | ||||
\(544\) | −6.00905 | − | 28.2703i | −0.257636 | − | 1.21208i | ||||
\(545\) | −17.5261 | + | 8.37637i | −0.750736 | + | 0.358804i | ||||
\(546\) | −30.2238 | − | 17.0258i | −1.29346 | − | 0.728635i | ||||
\(547\) | 18.2578 | − | 5.93232i | 0.780647 | − | 0.253648i | 0.108531 | − | 0.994093i | \(-0.465385\pi\) |
0.672116 | + | 0.740446i | \(0.265385\pi\) | |||||||
\(548\) | −1.75667 | + | 16.7136i | −0.0750414 | + | 0.713971i | ||||
\(549\) | 10.8235 | + | 9.52953i | 0.461938 | + | 0.406710i | ||||
\(550\) | 12.6225 | − | 19.5037i | 0.538225 | − | 0.831642i | ||||
\(551\) | −10.0381 | − | 17.3866i | −0.427639 | − | 0.740693i | ||||
\(552\) | 7.60097 | + | 6.76771i | 0.323519 | + | 0.288053i | ||||
\(553\) | 0.0892750 | + | 0.810263i | 0.00379636 | + | 0.0344559i | ||||
\(554\) | −34.5892 | + | 11.2387i | −1.46955 | + | 0.477487i | ||||
\(555\) | −11.7459 | − | 4.77818i | −0.498587 | − | 0.202822i | ||||
\(556\) | −15.6033 | + | 14.0492i | −0.661726 | + | 0.595821i | ||||
\(557\) | 13.1571 | − | 22.7887i | 0.557483 | − | 0.965588i | −0.440223 | − | 0.897888i | \(-0.645101\pi\) |
0.997706 | − | 0.0676999i | \(-0.0215661\pi\) | |||||||
\(558\) | −0.486801 | − | 43.7237i | −0.0206079 | − | 1.85097i | ||||
\(559\) | 12.0405 | + | 16.5723i | 0.509257 | + | 0.700932i | ||||
\(560\) | −19.9415 | − | 20.7713i | −0.842684 | − | 0.877750i | ||||
\(561\) | −14.3576 | − | 12.7836i | −0.606176 | − | 0.539724i | ||||
\(562\) | −2.92545 | + | 6.57067i | −0.123403 | + | 0.277167i | ||||
\(563\) | 21.9530 | − | 2.30736i | 0.925211 | − | 0.0972435i | 0.370074 | − | 0.929002i | \(-0.379332\pi\) |
0.555137 | + | 0.831759i | \(0.312666\pi\) | |||||||
\(564\) | −4.03736 | − | 12.1943i | −0.170004 | − | 0.513474i | ||||
\(565\) | −34.0759 | − | 23.3805i | −1.43359 | − | 0.983624i | ||||
\(566\) | −9.52326 | + | 6.91905i | −0.400292 | + | 0.290829i | ||||
\(567\) | 22.0092 | + | 9.08807i | 0.924301 | + | 0.381663i | ||||
\(568\) | − | 0.466129i | − | 0.0195584i | ||||||
\(569\) | −5.47684 | − | 25.7665i | −0.229601 | − | 1.08019i | −0.930319 | − | 0.366751i | \(-0.880470\pi\) |
0.700718 | − | 0.713438i | \(-0.252863\pi\) | |||||||
\(570\) | 5.26577 | + | 38.1252i | 0.220559 | + | 1.59689i | ||||
\(571\) | −19.4478 | − | 4.13376i | −0.813867 | − | 0.172993i | −0.217868 | − | 0.975978i | \(-0.569910\pi\) |
−0.595998 | + | 0.802986i | \(0.703244\pi\) | |||||||
\(572\) | −10.6006 | − | 9.54484i | −0.443234 | − | 0.399090i | ||||
\(573\) | −1.21817 | + | 1.36815i | −0.0508896 | + | 0.0571552i | ||||
\(574\) | 21.7375 | + | 4.50656i | 0.907305 | + | 0.188100i | ||||
\(575\) | −13.7602 | − | 21.1164i | −0.573842 | − | 0.880616i | ||||
\(576\) | 2.26750 | + | 6.72302i | 0.0944790 | + | 0.280126i | ||||
\(577\) | −36.5960 | + | 16.2936i | −1.52351 | + | 0.678311i | −0.986274 | − | 0.165120i | \(-0.947199\pi\) |
−0.537238 | + | 0.843431i | \(0.680532\pi\) | |||||||
\(578\) | 3.94351 | + | 0.838218i | 0.164028 | + | 0.0348653i | ||||
\(579\) | 28.0933 | + | 30.8536i | 1.16752 | + | 1.28223i | ||||
\(580\) | 4.87565 | + | 10.2014i | 0.202450 | + | 0.423592i | ||||
\(581\) | 23.2822 | − | 13.5982i | 0.965909 | − | 0.564149i | ||||
\(582\) | −20.7579 | − | 2.06498i | −0.860442 | − | 0.0855963i | ||||
\(583\) | −3.84054 | − | 18.0683i | −0.159059 | − | 0.748314i | ||||
\(584\) | 1.37019 | + | 13.0365i | 0.0566989 | + | 0.539454i | ||||
\(585\) | 9.55149 | + | 25.9843i | 0.394906 | + | 1.07432i | ||||
\(586\) | −52.1385 | − | 5.47998i | −2.15382 | − | 0.226376i | ||||
\(587\) | −4.06024 | − | 5.58844i | −0.167584 | − | 0.230659i | 0.716962 | − | 0.697112i | \(-0.245532\pi\) |
−0.884546 | + | 0.466452i | \(0.845532\pi\) | |||||||
\(588\) | 6.49236 | − | 15.2167i | 0.267741 | − | 0.627525i | ||||
\(589\) | −34.8280 | − | 25.3040i | −1.43506 | − | 1.04264i | ||||
\(590\) | −16.7947 | − | 47.3089i | −0.691425 | − | 1.94768i | ||||
\(591\) | −0.211810 | − | 38.0501i | −0.00871271 | − | 1.56517i | ||||
\(592\) | −11.8424 | + | 10.6630i | −0.486721 | + | 0.438246i | ||||
\(593\) | 18.9060 | − | 10.9154i | 0.776375 | − | 0.448240i | −0.0587690 | − | 0.998272i | \(-0.518718\pi\) |
0.835144 | + | 0.550031i | \(0.185384\pi\) | |||||||
\(594\) | 19.7666 | + | 13.8629i | 0.811034 | + | 0.568804i | ||||
\(595\) | 24.3841 | − | 8.79440i | 0.999653 | − | 0.360535i | ||||
\(596\) | 6.88393 | − | 2.23672i | 0.281977 | − | 0.0916197i | ||||
\(597\) | 16.4830 | + | 18.1025i | 0.674603 | + | 0.740887i | ||||
\(598\) | −34.8593 | + | 15.5204i | −1.42550 | + | 0.634675i | ||||
\(599\) | −33.0826 | − | 19.1002i | −1.35172 | − | 0.780414i | −0.363227 | − | 0.931701i | \(-0.618325\pi\) |
−0.988490 | + | 0.151286i | \(0.951658\pi\) | |||||||
\(600\) | 0.600214 | + | 10.0770i | 0.0245036 | + | 0.411391i | ||||
\(601\) | 42.8470i | 1.74776i | 0.486138 | + | 0.873882i | \(0.338405\pi\) | ||||
−0.486138 | + | 0.873882i | \(0.661595\pi\) | |||||||
\(602\) | −17.8201 | + | 16.2079i | −0.726291 | + | 0.660585i | ||||
\(603\) | 16.9494 | − | 1.97246i | 0.690231 | − | 0.0803250i | ||||
\(604\) | −10.7858 | + | 11.9788i | −0.438867 | + | 0.487411i | ||||
\(605\) | 9.47160 | + | 3.91458i | 0.385075 | + | 0.159150i | ||||
\(606\) | −26.1674 | − | 35.5979i | −1.06298 | − | 1.44607i | ||||
\(607\) | 20.3566 | + | 35.2586i | 0.826247 | + | 1.43110i | 0.900962 | + | 0.433897i | \(0.142862\pi\) |
−0.0747152 | + | 0.997205i | \(0.523805\pi\) | |||||||
\(608\) | 33.9872 | + | 11.0431i | 1.37836 | + | 0.447857i | ||||
\(609\) | 11.2288 | − | 12.7395i | 0.455015 | − | 0.516230i | ||||
\(610\) | −19.5452 | + | 2.58874i | −0.791361 | + | 0.104815i | ||||
\(611\) | −22.3073 | − | 2.34459i | −0.902458 | − | 0.0948522i | ||||
\(612\) | −17.8575 | − | 1.67612i | −0.721847 | − | 0.0677532i | ||||
\(613\) | 12.4644 | − | 1.31007i | 0.503434 | − | 0.0529131i | 0.150592 | − | 0.988596i | \(-0.451882\pi\) |
0.352842 | + | 0.935683i | \(0.385215\pi\) | |||||||
\(614\) | 3.50290 | − | 33.3278i | 0.141365 | − | 1.34500i | ||||
\(615\) | −10.8743 | − | 13.9868i | −0.438493 | − | 0.564004i | ||||
\(616\) | −4.56011 | + | 6.34315i | −0.183732 | + | 0.255573i | ||||
\(617\) | −5.50824 | + | 16.9526i | −0.221753 | + | 0.682487i | 0.776851 | + | 0.629684i | \(0.216816\pi\) |
−0.998605 | + | 0.0528032i | \(0.983184\pi\) | |||||||
\(618\) | 3.78891 | + | 8.38412i | 0.152412 | + | 0.337259i | ||||
\(619\) | 11.3933 | − | 10.2585i | 0.457934 | − | 0.412326i | −0.407612 | − | 0.913155i | \(-0.633638\pi\) |
0.865546 | + | 0.500829i | \(0.166972\pi\) | |||||||
\(620\) | 18.4485 | + | 15.7315i | 0.740908 | + | 0.631792i | ||||
\(621\) | 22.4618 | − | 13.4734i | 0.901363 | − | 0.540669i | ||||
\(622\) | −8.50408 | − | 26.1729i | −0.340983 | − | 1.04944i | ||||
\(623\) | −3.13666 | − | 3.44865i | −0.125667 | − | 0.138167i | ||||
\(624\) | 34.6196 | + | 3.44393i | 1.38589 | + | 0.137868i | ||||
\(625\) | 5.12117 | − | 24.4699i | 0.204847 | − | 0.978794i | ||||
\(626\) | 11.3841 | − | 19.7178i | 0.455000 | − | 0.788083i | ||||
\(627\) | 22.5651 | − | 7.47098i | 0.901164 | − | 0.298362i | ||||
\(628\) | −16.6149 | + | 18.4527i | −0.663007 | + | 0.736344i | ||||
\(629\) | −4.43307 | − | 13.6436i | −0.176758 | − | 0.544005i | ||||
\(630\) | −29.1420 | + | 14.5108i | −1.16105 | + | 0.578124i | ||||
\(631\) | −5.75693 | + | 17.7180i | −0.229180 | + | 0.705343i | 0.768660 | + | 0.639657i | \(0.220924\pi\) |
−0.997840 | + | 0.0656861i | \(0.979076\pi\) | |||||||
\(632\) | −0.179571 | − | 0.311026i | −0.00714295 | − | 0.0123720i | ||||
\(633\) | −11.5423 | − | 15.7020i | −0.458764 | − | 0.624099i | ||||
\(634\) | 5.21952 | + | 49.6604i | 0.207294 | + | 1.97227i | ||||
\(635\) | −21.5371 | − | 6.36123i | −0.854672 | − | 0.252438i | ||||
\(636\) | −12.8717 | − | 11.4606i | −0.510395 | − | 0.454443i | ||||
\(637\) | −19.5446 | − | 21.2732i | −0.774386 | − | 0.842876i | ||||
\(638\) | 13.9299 | − | 10.1206i | 0.551489 | − | 0.400680i | ||||
\(639\) | −1.14500 | − | 0.357991i | −0.0452956 | − | 0.0141619i | ||||
\(640\) | 18.2980 | + | 7.56250i | 0.723292 | + | 0.298934i | ||||
\(641\) | −21.1696 | + | 2.22501i | −0.836148 | + | 0.0878827i | −0.512918 | − | 0.858438i | \(-0.671436\pi\) |
−0.323230 | + | 0.946320i | \(0.604769\pi\) | |||||||
\(642\) | 16.4243 | − | 1.81876i | 0.648216 | − | 0.0717806i | ||||
\(643\) | 23.2095 | 0.915294 | 0.457647 | − | 0.889134i | \(-0.348692\pi\) | ||||
0.457647 | + | 0.889134i | \(0.348692\pi\) | |||||||
\(644\) | −9.17805 | − | 15.7142i | −0.361666 | − | 0.619227i | ||||
\(645\) | 19.2138 | − | 0.625238i | 0.756543 | − | 0.0246187i | ||||
\(646\) | −29.1346 | + | 32.3572i | −1.14628 | + | 1.27308i | ||||
\(647\) | −0.224523 | + | 1.05630i | −0.00882690 | + | 0.0415273i | −0.982341 | − | 0.187101i | \(-0.940091\pi\) |
0.973514 | + | 0.228628i | \(0.0734241\pi\) | |||||||
\(648\) | −10.4883 | + | 0.233573i | −0.412018 | + | 0.00917560i | ||||
\(649\) | −26.8507 | + | 15.5023i | −1.05398 | + | 0.608517i | ||||
\(650\) | −35.3565 | − | 13.5086i | −1.38680 | − | 0.529851i | ||||
\(651\) | 10.8854 | − | 34.7492i | 0.426634 | − | 1.36193i | ||||
\(652\) | −11.0466 | + | 15.2043i | −0.432616 | + | 0.595445i | ||||
\(653\) | 0.862866 | − | 0.958310i | 0.0337666 | − | 0.0375016i | −0.726025 | − | 0.687668i | \(-0.758634\pi\) |
0.759792 | + | 0.650167i | \(0.225301\pi\) | |||||||
\(654\) | 26.2954 | + | 8.38237i | 1.02823 | + | 0.327777i | ||||
\(655\) | 5.36559 | + | 8.74048i | 0.209651 | + | 0.341519i | ||||
\(656\) | −21.7779 | + | 4.62903i | −0.850282 | + | 0.180733i | ||||
\(657\) | 33.0752 | + | 6.64638i | 1.29039 | + | 0.259300i | ||||
\(658\) | −0.132352 | − | 26.3762i | −0.00515963 | − | 1.02825i | ||||
\(659\) | 8.62561 | + | 11.8721i | 0.336006 | + | 0.462473i | 0.943270 | − | 0.332028i | \(-0.107733\pi\) |
−0.607263 | + | 0.794501i | \(0.707733\pi\) | |||||||
\(660\) | −12.9968 | + | 3.20768i | −0.505901 | + | 0.124859i | ||||
\(661\) | −2.25892 | − | 5.07361i | −0.0878617 | − | 0.197341i | 0.864270 | − | 0.503028i | \(-0.167781\pi\) |
−0.952132 | + | 0.305687i | \(0.901114\pi\) | |||||||
\(662\) | 0.441141 | + | 4.19718i | 0.0171454 | + | 0.163128i | ||||
\(663\) | −15.5085 | + | 27.2102i | −0.602300 | + | 1.05676i | ||||
\(664\) | −6.98229 | + | 9.61029i | −0.270965 | + | 0.372952i | ||||
\(665\) | −5.65794 | + | 31.5478i | −0.219406 | + | 1.22337i | ||||
\(666\) | 7.51087 | + | 16.3765i | 0.291040 | + | 0.634578i | ||||
\(667\) | −3.88378 | − | 18.2717i | −0.150380 | − | 0.707484i | ||||
\(668\) | −18.2949 | − | 10.5626i | −0.707850 | − | 0.408678i | ||||
\(669\) | 16.9621 | + | 23.0751i | 0.655792 | + | 0.892134i | ||||
\(670\) | −13.1987 | + | 19.2365i | −0.509911 | + | 0.743171i | ||||
\(671\) | 3.76276 | + | 11.5806i | 0.145260 | + | 0.447064i | ||||
\(672\) | 0.319939 | + | 30.2263i | 0.0123419 | + | 1.16600i | ||||
\(673\) | −5.02459 | + | 6.91576i | −0.193684 | + | 0.266583i | −0.894803 | − | 0.446461i | \(-0.852684\pi\) |
0.701119 | + | 0.713044i | \(0.252684\pi\) | |||||||
\(674\) | −2.82231 | + | 1.62946i | −0.108711 | + | 0.0627645i | ||||
\(675\) | 25.2141 | + | 6.26483i | 0.970492 | + | 0.241133i | ||||
\(676\) | −2.75050 | + | 4.76401i | −0.105789 | + | 0.183231i | ||||
\(677\) | −5.68046 | − | 0.597040i | −0.218318 | − | 0.0229461i | −0.00526196 | − | 0.999986i | \(-0.501675\pi\) |
−0.213056 | + | 0.977040i | \(0.568342\pi\) | |||||||
\(678\) | 12.5273 | + | 57.3642i | 0.481107 | + | 2.20306i | ||||
\(679\) | −15.9053 | − | 6.98609i | −0.610391 | − | 0.268102i | ||||
\(680\) | −8.27791 | + | 7.86777i | −0.317443 | + | 0.301715i | ||||
\(681\) | 5.04033 | + | 45.5168i | 0.193146 | + | 1.74421i | ||||
\(682\) | 18.4607 | − | 31.9748i | 0.706896 | − | 1.22438i | ||||
\(683\) | −20.9509 | − | 23.2683i | −0.801662 | − | 0.890336i | 0.194223 | − | 0.980957i | \(-0.437781\pi\) |
−0.995885 | + | 0.0906215i | \(0.971115\pi\) | |||||||
\(684\) | 12.8349 | − | 18.0858i | 0.490755 | − | 0.691527i | ||||
\(685\) | 24.8479 | − | 11.8757i | 0.949391 | − | 0.453749i | ||||
\(686\) | 22.3484 | − | 25.5847i | 0.853267 | − | 0.976827i | ||||
\(687\) | −20.6265 | − | 35.2712i | −0.786950 | − | 1.34568i | ||||
\(688\) | 9.82617 | − | 22.0699i | 0.374619 | − | 0.841408i | ||||
\(689\) | −27.4926 | + | 12.2405i | −1.04738 | + | 0.466326i | ||||
\(690\) | −6.30221 | + | 35.2514i | −0.239921 | + | 1.34200i | ||||
\(691\) | −6.86880 | + | 15.4276i | −0.261301 | + | 0.586892i | −0.995783 | − | 0.0917358i | \(-0.970758\pi\) |
0.734482 | + | 0.678628i | \(0.237425\pi\) | |||||||
\(692\) | 24.0668 | + | 7.81979i | 0.914884 | + | 0.297264i | ||||
\(693\) | 12.0791 | + | 16.0731i | 0.458849 | + | 0.610566i | ||||
\(694\) | −8.54284 | + | 26.2921i | −0.324282 | + | 0.998036i | ||||
\(695\) | 32.9980 | + | 9.74635i | 1.25169 | + | 0.369700i | ||||
\(696\) | −2.27234 | + | 7.12833i | −0.0861330 | + | 0.270199i | ||||
\(697\) | 4.16720 | − | 19.6051i | 0.157844 | − | 0.742597i | ||||
\(698\) | 45.2636 | + | 4.75740i | 1.71325 | + | 0.180070i | ||||
\(699\) | 14.6166 | + | 1.45405i | 0.552851 | + | 0.0549973i | ||||
\(700\) | 4.55699 | − | 17.4661i | 0.172238 | − | 0.660157i | ||||
\(701\) | − | 32.7810i | − | 1.23812i | −0.785343 | − | 0.619061i | \(-0.787514\pi\) | ||
0.785343 | − | 0.619061i | \(-0.212486\pi\) | |||||||
\(702\) | 15.3963 | − | 36.1956i | 0.581097 | − | 1.36612i | ||||
\(703\) | 17.3504 | + | 3.68793i | 0.654381 | + | 0.139093i | ||||
\(704\) | −1.24558 | + | 5.85999i | −0.0469445 | + | 0.220857i | ||||
\(705\) | −13.5690 | + | 16.0930i | −0.511038 | + | 0.606099i | ||||
\(706\) | −27.5986 | − | 8.96733i | −1.03869 | − | 0.337490i | ||||
\(707\) | −11.5450 | − | 34.9344i | −0.434195 | − | 1.31384i | ||||
\(708\) | −11.6185 | + | 26.4915i | −0.436651 | + | 0.995612i | ||||
\(709\) | 3.93352 | + | 1.75132i | 0.147727 | + | 0.0657721i | 0.479268 | − | 0.877668i | \(-0.340902\pi\) |
−0.331542 | + | 0.943441i | \(0.607569\pi\) | |||||||
\(710\) | 1.39779 | − | 0.858071i | 0.0524580 | − | 0.0322028i | ||||
\(711\) | −0.901918 | + | 0.202229i | −0.0338246 | + | 0.00758417i | ||||
\(712\) | 1.87628 | + | 0.835374i | 0.0703166 | + | 0.0313070i | ||||
\(713\) | −23.5441 | − | 32.4057i | −0.881734 | − | 1.21360i | ||||
\(714\) | −33.8023 | − | 14.6230i | −1.26502 | − | 0.547253i | ||||
\(715\) | −4.24189 | + | 22.9877i | −0.158638 | + | 0.859690i | ||||
\(716\) | −6.93512 | + | 15.5765i | −0.259177 | + | 0.582122i | ||||
\(717\) | −16.4796 | + | 12.1139i | −0.615442 | + | 0.452400i | ||||
\(718\) | 16.8392 | + | 9.72211i | 0.628433 | + | 0.362826i | ||||
\(719\) | −21.5296 | + | 4.57626i | −0.802918 | + | 0.170666i | −0.591052 | − | 0.806633i | \(-0.701287\pi\) |
−0.211866 | + | 0.977299i | \(0.567954\pi\) | |||||||
\(720\) | 20.9069 | − | 25.0779i | 0.779156 | − | 0.934600i | ||||
\(721\) | 0.839117 | + | 7.61586i | 0.0312504 | + | 0.283629i | ||||
\(722\) | −5.86696 | − | 18.0567i | −0.218346 | − | 0.671999i | ||||
\(723\) | −32.2959 | − | 6.67704i | −1.20110 | − | 0.248322i | ||||
\(724\) | −8.88937 | − | 5.13228i | −0.330371 | − | 0.190740i | ||||
\(725\) | 10.0671 | − | 15.5552i | 0.373882 | − | 0.577707i | ||||
\(726\) | −5.99662 | − | 13.2694i | −0.222556 | − | 0.492472i | ||||
\(727\) | −39.0471 | − | 28.3694i | −1.44818 | − | 1.05216i | −0.986253 | − | 0.165243i | \(-0.947159\pi\) |
−0.461924 | − | 0.886919i | \(-0.652841\pi\) | |||||||
\(728\) | 11.6530 | + | 5.11835i | 0.431889 | + | 0.189698i | ||||
\(729\) | −7.48132 | + | 25.9428i | −0.277086 | + | 0.960845i | ||||
\(730\) | −36.5703 | + | 28.1069i | −1.35353 | + | 1.04028i | ||||
\(731\) | 14.5524 | + | 16.1621i | 0.538242 | + | 0.597778i | ||||
\(732\) | 9.22808 | + | 6.62642i | 0.341080 | + | 0.244920i | ||||
\(733\) | 5.12272 | − | 1.08887i | 0.189212 | − | 0.0402182i | −0.112331 | − | 0.993671i | \(-0.535832\pi\) |
0.301543 | + | 0.953453i | \(0.402498\pi\) | |||||||
\(734\) | 42.4733 | − | 30.8586i | 1.56772 | − | 1.13901i | ||||
\(735\) | −26.8174 | + | 3.97861i | −0.989173 | + | 0.146753i | ||||
\(736\) | 26.9004 | + | 19.5443i | 0.991561 | + | 0.720411i | ||||
\(737\) | 13.1625 | + | 5.86031i | 0.484846 | + | 0.215867i | ||||
\(738\) | −2.35234 | + | 25.0620i | −0.0865907 | + | 0.922544i | ||||
\(739\) | 25.8416 | − | 11.5054i | 0.950598 | − | 0.423233i | 0.127947 | − | 0.991781i | \(-0.459161\pi\) |
0.822650 | + | 0.568548i | \(0.192495\pi\) | |||||||
\(740\) | −9.58064 | − | 2.82976i | −0.352191 | − | 0.104024i | ||||
\(741\) | −19.5491 | − | 33.4289i | −0.718154 | − | 1.22804i | ||||
\(742\) | −17.8481 | − | 30.5587i | −0.655225 | − | 1.12184i | ||||
\(743\) | −18.5013 | −0.678745 | −0.339373 | − | 0.940652i | \(-0.610215\pi\) | ||||
−0.339373 | + | 0.940652i | \(0.610215\pi\) | |||||||
\(744\) | 1.76576 | + | 15.9458i | 0.0647360 | + | 0.584600i | ||||
\(745\) | −9.02555 | − | 7.69633i | −0.330670 | − | 0.281972i | ||||
\(746\) | −11.2204 | + | 52.7880i | −0.410809 | + | 1.93271i | ||||
\(747\) | 18.2443 | + | 24.5321i | 0.667525 | + | 0.897583i | ||||
\(748\) | −12.2523 | − | 8.90179i | −0.447987 | − | 0.325482i | ||||
\(749\) | 13.4748 | + | 2.79357i | 0.492359 | + | 0.102075i | ||||
\(750\) | −29.1130 | + | 20.3500i | −1.06306 | + | 0.743077i | ||||
\(751\) | 3.41185 | + | 5.90950i | 0.124500 | + | 0.215641i | 0.921537 | − | 0.388289i | \(-0.126934\pi\) |
−0.797037 | + | 0.603930i | \(0.793601\pi\) | |||||||
\(752\) | 10.7595 | + | 24.1663i | 0.392360 | + | 0.881254i | ||||
\(753\) | 33.2887 | + | 10.6117i | 1.21311 | + | 0.386710i | ||||
\(754\) | −20.8466 | − | 18.7703i | −0.759187 | − | 0.683575i | ||||
\(755\) | 25.9763 | + | 4.79339i | 0.945375 | + | 0.174449i | ||||
\(756\) | 17.9625 | + | 5.40803i | 0.653289 | + | 0.196688i | ||||
\(757\) | 20.1641i | 0.732876i | 0.930442 | + | 0.366438i | \(0.119423\pi\) | ||||
−0.930442 | + | 0.366438i | \(0.880577\pi\) | |||||||
\(758\) | 33.9456 | − | 7.21535i | 1.23296 | − | 0.262073i | ||||
\(759\) | 22.1162 | − | 0.123112i | 0.802766 | − | 0.00446869i | ||||
\(760\) | −3.30722 | − | 13.7282i | −0.119965 | − | 0.497973i | ||||
\(761\) | 1.40541 | − | 13.3716i | 0.0509460 | − | 0.484719i | −0.939066 | − | 0.343737i | \(-0.888307\pi\) |
0.990012 | − | 0.140982i | \(-0.0450261\pi\) | |||||||
\(762\) | 16.1071 | + | 27.5430i | 0.583497 | + | 0.997778i | ||||
\(763\) | 18.6619 | + | 13.4161i | 0.675606 | + | 0.485696i | ||||
\(764\) | −0.848263 | + | 1.16753i | −0.0306891 | + | 0.0422399i | ||||
\(765\) | 12.9689 | + | 26.3764i | 0.468893 | + | 0.953641i | ||||
\(766\) | −18.6813 | + | 1.96349i | −0.674984 | + | 0.0709436i | ||||
\(767\) | 33.7993 | + | 37.5379i | 1.22042 | + | 1.35542i | ||||
\(768\) | −14.9587 | − | 33.1006i | −0.539774 | − | 1.19441i | ||||
\(769\) | −7.42946 | − | 2.41398i | −0.267913 | − | 0.0870502i | 0.171980 | − | 0.985100i | \(-0.444984\pi\) |
−0.439893 | + | 0.898050i | \(0.644984\pi\) | |||||||
\(770\) | −27.4157 | − | 1.99771i | −0.987994 | − | 0.0719926i | ||||
\(771\) | −26.9549 | + | 5.88646i | −0.970757 | + | 0.211996i | ||||
\(772\) | 24.4293 | + | 21.9963i | 0.879230 | + | 0.791662i | ||||
\(773\) | −12.6052 | − | 28.3117i | −0.453377 | − | 1.01830i | −0.985194 | − | 0.171443i | \(-0.945157\pi\) |
0.531817 | − | 0.846860i | \(-0.321510\pi\) | |||||||
\(774\) | −20.5002 | − | 18.0493i | −0.736865 | − | 0.648769i | ||||
\(775\) | 6.15387 | − | 39.2518i | 0.221053 | − | 1.40996i | ||||
\(776\) | 7.65365 | 0.274750 | ||||||||
\(777\) | 1.72618 | + | 14.9043i | 0.0619264 | + | 0.534688i | ||||
\(778\) | −53.3854 | + | 17.3460i | −1.91396 | + | 0.621883i | ||||
\(779\) | 18.4171 | + | 16.5828i | 0.659860 | + | 0.594140i | ||||
\(780\) | 9.51411 | + | 19.6251i | 0.340660 | + | 0.702690i | ||||
\(781\) | −0.677802 | − | 0.752776i | −0.0242537 | − | 0.0269364i | ||||
\(782\) | −35.0849 | + | 20.2563i | −1.25463 | + | 0.724363i | ||||
\(783\) | 15.7649 | + | 11.0564i | 0.563391 | + | 0.395124i | ||||
\(784\) | −10.2025 | + | 32.5064i | −0.364374 | + | 1.16094i | ||||
\(785\) | 40.0151 | + | 7.38395i | 1.42820 | + | 0.263545i | ||||
\(786\) | 2.95027 | − | 14.2701i | 0.105233 | − | 0.508996i | ||||
\(787\) | −0.659901 | − | 6.27854i | −0.0235229 | − | 0.223806i | −0.999968 | − | 0.00803822i | \(-0.997441\pi\) |
0.976445 | − | 0.215768i | \(-0.0692253\pi\) | |||||||
\(788\) | −3.13338 | − | 29.8122i | −0.111622 | − | 1.06201i | ||||
\(789\) | −7.61105 | + | 36.8137i | −0.270961 | + | 1.31060i | ||||
\(790\) | 0.602115 | − | 1.11103i | 0.0214223 | − | 0.0395287i | ||||
\(791\) | −4.86708 | + | 48.6544i | −0.173053 | + | 1.72995i | ||||
\(792\) | −7.72024 | − | 4.34341i | −0.274327 | − | 0.154336i | ||||
\(793\) | 17.1801 | − | 9.91896i | 0.610085 | − | 0.352233i | ||||
\(794\) | 32.1483 | + | 35.7043i | 1.14090 | + | 1.26710i | ||||
\(795\) | −4.97038 | + | 27.8018i | −0.176281 | + | 0.986029i | ||||
\(796\) | 14.3333 | + | 12.9057i | 0.508029 | + | 0.457431i | ||||
\(797\) | −7.40639 | + | 2.40648i | −0.262348 | + | 0.0852420i | −0.437238 | − | 0.899346i | \(-0.644043\pi\) |
0.174890 | + | 0.984588i | \(0.444043\pi\) | |||||||
\(798\) | 36.5562 | − | 27.1554i | 1.29407 | − | 0.961290i | ||||
\(799\) | −23.8141 | −0.842483 | ||||||||
\(800\) | 5.21044 | + | 32.5672i | 0.184217 | + | 1.15143i | ||||
\(801\) | 3.49302 | − | 3.96733i | 0.123420 | − | 0.140179i | ||||
\(802\) | 3.31599 | + | 7.44784i | 0.117092 | + | 0.262992i | ||||
\(803\) | 21.1692 | + | 19.0609i | 0.747046 | + | 0.672644i | ||||
\(804\) | 13.1333 | − | 2.86807i | 0.463176 | − | 0.101149i | ||||
\(805\) | −14.0775 | + | 26.2901i | −0.496167 | + | 0.926605i | ||||
\(806\) | −57.2078 | − | 18.5880i | −2.01506 | − | 0.654733i | ||||
\(807\) | 19.5087 | + | 43.1690i | 0.686739 | + | 1.51962i | ||||
\(808\) | 10.8466 | + | 12.0463i | 0.381581 | + | 0.423788i | ||||
\(809\) | 9.44073 | − | 0.992260i | 0.331918 | − | 0.0348860i | 0.0628963 | − | 0.998020i | \(-0.479966\pi\) |
0.269022 | + | 0.963134i | \(0.413300\pi\) | |||||||
\(810\) | −20.0077 | − | 31.0213i | −0.702998 | − | 1.08998i | ||||
\(811\) | −12.5112 | + | 17.2202i | −0.439329 | + | 0.604685i | −0.970063 | − | 0.242854i | \(-0.921916\pi\) |
0.530734 | + | 0.847539i | \(0.321916\pi\) | |||||||
\(812\) | 7.80914 | − | 10.8626i | 0.274047 | − | 0.381202i | ||||
\(813\) | 5.02540 | + | 8.59343i | 0.176249 | + | 0.301385i | ||||
\(814\) | −1.59017 | + | 15.1295i | −0.0557356 | + | 0.530289i | ||||
\(815\) | 30.7045 | + | 2.39230i | 1.07553 | + | 0.0837987i | ||||
\(816\) | 36.9364 | − | 0.205611i | 1.29303 | − | 0.00719781i | ||||
\(817\) | −26.3034 | + | 5.59095i | −0.920239 | + | 0.195603i | ||||
\(818\) | 14.5296i | 0.508017i | ||||||||
\(819\) | 21.5223 | − | 24.6936i | 0.752051 | − | 0.862864i | ||||
\(820\) | −9.61546 | − | 10.1167i | −0.335786 | − | 0.353290i | ||||
\(821\) | 0.410722 | + | 0.369816i | 0.0143343 | + | 0.0129067i | 0.676267 | − | 0.736657i | \(-0.263597\pi\) |
−0.661932 | + | 0.749564i | \(0.730263\pi\) | |||||||
\(822\) | −37.2808 | − | 11.8842i | −1.30032 | − | 0.414511i | ||||
\(823\) | 15.4640 | + | 34.7327i | 0.539041 | + | 1.21071i | 0.953708 | + | 0.300733i | \(0.0972314\pi\) |
−0.414667 | + | 0.909973i | \(0.636102\pi\) | |||||||
\(824\) | −1.68783 | − | 2.92341i | −0.0587984 | − | 0.101842i | ||||
\(825\) | 15.6223 | + | 15.4010i | 0.543900 | + | 0.536196i | ||||
\(826\) | −39.5238 | + | 44.3411i | −1.37521 | + | 1.54282i | ||||
\(827\) | −24.7564 | − | 17.9866i | −0.860866 | − | 0.625455i | 0.0672547 | − | 0.997736i | \(-0.478576\pi\) |
−0.928120 | + | 0.372280i | \(0.878576\pi\) | |||||||
\(828\) | 16.5578 | − | 12.3139i | 0.575424 | − | 0.427938i | ||||
\(829\) | −8.29505 | + | 39.0251i | −0.288099 | + | 1.35540i | 0.561285 | + | 0.827623i | \(0.310307\pi\) |
−0.849383 | + | 0.527776i | \(0.823026\pi\) | |||||||
\(830\) | −41.6718 | − | 3.24681i | −1.44645 | − | 0.112698i | ||||
\(831\) | −3.77985 | − | 34.1340i | −0.131122 | − | 1.18410i | ||||
\(832\) | 9.76032 | 0.338378 | ||||||||
\(833\) | −22.9977 | − | 20.2930i | −0.796822 | − | 0.703111i | ||||
\(834\) | −24.6784 | − | 42.2000i | −0.854543 | − | 1.46127i | ||||
\(835\) | 0.933303 | + | 34.6058i | 0.0322983 | + | 1.19758i | ||||
\(836\) | 17.1069 | − | 7.61648i | 0.591654 | − | 0.263421i | ||||
\(837\) | 40.5253 | + | 7.90903i | 1.40076 | + | 0.273376i | ||||
\(838\) | −9.87048 | − | 4.39462i | −0.340970 | − | 0.151810i | ||||
\(839\) | −14.5988 | − | 10.6066i | −0.504005 | − | 0.366181i | 0.306540 | − | 0.951858i | \(-0.400829\pi\) |
−0.810545 | + | 0.585677i | \(0.800829\pi\) | |||||||
\(840\) | 10.1127 | − | 6.35628i | 0.348920 | − | 0.219313i | ||||
\(841\) | −12.3517 | + | 8.97404i | −0.425921 | + | 0.309450i | ||||
\(842\) | −26.2312 | + | 5.57561i | −0.903986 | + | 0.192148i | ||||
\(843\) | −5.51675 | − | 3.96142i | −0.190007 | − | 0.136439i | ||||
\(844\) | −10.2729 | − | 11.4092i | −0.353607 | − | 0.392720i | ||||
\(845\) | 9.01140 | − | 0.243033i | 0.310001 | − | 0.00836060i | ||||
\(846\) | 29.7076 | − | 3.45720i | 1.02137 | − | 0.118861i | ||||
\(847\) | −1.32805 | − | 12.0534i | −0.0456324 | − | 0.414161i | ||||
\(848\) | 28.7138 | + | 20.8618i | 0.986035 | + | 0.716396i | ||||
\(849\) | −4.57752 | − | 10.1292i | −0.157100 | − | 0.347632i | ||||
\(850\) | −38.8315 | − | 10.3397i | −1.33191 | − | 0.354649i | ||||
\(851\) | 14.2931 | + | 8.25213i | 0.489962 | + | 0.282880i | ||||
\(852\) | −0.925522 | − | 0.191347i | −0.0317078 | − | 0.00655545i | ||||
\(853\) | −7.88359 | − | 24.2632i | −0.269929 | − | 0.830756i | −0.990517 | − | 0.137392i | \(-0.956128\pi\) |
0.720588 | − | 0.693364i | \(-0.243872\pi\) | |||||||
\(854\) | 13.8065 | + | 18.8038i | 0.472447 | + | 0.643453i | ||||
\(855\) | −36.2619 | − | 2.41948i | −1.24013 | − | 0.0827446i | ||||
\(856\) | −5.93042 | + | 1.26055i | −0.202698 | + | 0.0430847i | ||||
\(857\) | −37.9350 | − | 21.9018i | −1.29584 | − | 0.748151i | −0.316154 | − | 0.948708i | \(-0.602392\pi\) |
−0.979682 | + | 0.200556i | \(0.935725\pi\) | |||||||
\(858\) | 26.7604 | − | 19.6711i | 0.913586 | − | 0.671561i | ||||
\(859\) | −11.4917 | + | 25.8107i | −0.392090 | + | 0.880649i | 0.604380 | + | 0.796696i | \(0.293421\pi\) |
−0.996470 | + | 0.0839523i | \(0.973246\pi\) | |||||||
\(860\) | 15.0136 | − | 1.98853i | 0.511958 | − | 0.0678084i | ||||
\(861\) | −8.32313 | + | 19.2395i | −0.283651 | + | 0.655682i | ||||
\(862\) | 28.3261 | + | 38.9875i | 0.964791 | + | 1.32792i | ||||
\(863\) | −35.6337 | − | 15.8652i | −1.21299 | − | 0.540056i | −0.302323 | − | 0.953205i | \(-0.597762\pi\) |
−0.910663 | + | 0.413149i | \(0.864429\pi\) | |||||||
\(864\) | −34.0229 | + | 4.15147i | −1.15748 | + | 0.141236i | ||||
\(865\) | −9.71225 | − | 40.3153i | −0.330227 | − | 1.37076i | ||||
\(866\) | −3.74230 | − | 1.66618i | −0.127168 | − | 0.0566190i | ||||
\(867\) | −1.52904 | + | 3.48639i | −0.0519291 | + | 0.118404i | ||||
\(868\) | 5.82353 | − | 28.0899i | 0.197663 | − | 0.953433i | ||||
\(869\) | −0.742264 | − | 0.241176i | −0.0251796 | − | 0.00818134i | ||||
\(870\) | −25.5588 | + | 6.30804i | −0.866525 | + | 0.213862i | ||||
\(871\) | 4.88043 | − | 22.9606i | 0.165367 | − | 0.777991i | ||||
\(872\) | −9.90485 | − | 2.10534i | −0.335420 | − | 0.0712958i | ||||
\(873\) | 5.87806 | − | 18.8005i | 0.198942 | − | 0.636299i | ||||
\(874\) | − | 50.0924i | − | 1.69440i | ||||||
\(875\) | −28.2996 | + | 8.61000i | −0.956701 | + | 0.291071i | ||||
\(876\) | 26.4470 | + | 2.63094i | 0.893562 | + | 0.0888911i | ||||
\(877\) | −41.3473 | − | 4.34577i | −1.39620 | − | 0.146746i | −0.623650 | − | 0.781703i | \(-0.714351\pi\) |
−0.772547 | + | 0.634957i | \(0.781018\pi\) | |||||||
\(878\) | −2.60597 | + | 12.2601i | −0.0879471 | + | 0.413759i | ||||
\(879\) | 15.0354 | − | 47.1659i | 0.507131 | − | 1.59087i | ||||
\(880\) | 25.9800 | − | 9.22289i | 0.875784 | − | 0.310903i | ||||
\(881\) | 5.57101 | − | 17.1458i | 0.187692 | − | 0.577657i | −0.812292 | − | 0.583251i | \(-0.801781\pi\) |
0.999984 | + | 0.00559376i | \(0.00178056\pi\) | |||||||
\(882\) | 31.6352 | + | 21.9765i | 1.06521 | + | 0.739986i | ||||
\(883\) | 23.2515 | + | 7.55486i | 0.782474 | + | 0.254241i | 0.672896 | − | 0.739737i | \(-0.265050\pi\) |
0.109578 | + | 0.993978i | \(0.465050\pi\) | |||||||
\(884\) | −10.0356 | + | 22.5404i | −0.337534 | + | 0.758114i | ||||
\(885\) | 46.9584 | − | 6.48578i | 1.57849 | − | 0.218017i | ||||
\(886\) | 25.7861 | − | 11.4807i | 0.866299 | − | 0.385701i | ||||
\(887\) | 8.92751 | − | 20.0515i | 0.299757 | − | 0.673264i | −0.699383 | − | 0.714747i | \(-0.746542\pi\) |
0.999139 | + | 0.0414832i | \(0.0132083\pi\) | |||||||
\(888\) | −3.33699 | − | 5.70624i | −0.111982 | − | 0.191489i | ||||
\(889\) | 5.65483 | + | 25.9626i | 0.189657 | + | 0.870758i | ||||
\(890\) | 0.948894 | + | 7.16421i | 0.0318070 | + | 0.240145i | ||||
\(891\) | −16.5984 | + | 15.6283i | −0.556067 | + | 0.523567i | ||||
\(892\) | 15.0966 | + | 16.7665i | 0.505472 | + | 0.561384i | ||||
\(893\) | 14.7227 | − | 25.5004i | 0.492675 | − | 0.853338i | ||||
\(894\) | 1.85488 | + | 16.7505i | 0.0620364 | + | 0.560221i | ||||
\(895\) | 27.6995 | − | 3.66878i | 0.925892 | − | 0.122634i | ||||
\(896\) | −2.56564 | − | 23.2858i | −0.0857119 | − | 0.777925i | ||||
\(897\) | −7.68755 | − | 35.2024i | −0.256680 | − | 1.17537i | ||||
\(898\) | −9.76532 | − | 1.02638i | −0.325873 | − | 0.0342506i | ||||
\(899\) | 14.7233 | − | 25.5016i | 0.491050 | − | 0.850524i | ||||
\(900\) | 20.2547 | + | 2.94487i | 0.675157 | + | 0.0981624i | ||||
\(901\) | −27.6705 | + | 15.9756i | −0.921839 | + | 0.532224i | ||||
\(902\) | −12.4931 | + | 17.1953i | −0.415976 | + | 0.572542i | ||||
\(903\) | −11.5809 | − | 19.5772i | −0.385389 | − | 0.651490i | ||||
\(904\) | −6.65713 | − | 20.4885i | −0.221413 | − | 0.681438i | ||||
\(905\) | 0.453486 | + | 16.8147i | 0.0150744 | + | 0.558941i | ||||
\(906\) | −22.2286 | − | 30.2396i | −0.738495 | − | 1.00464i | ||||
\(907\) | −30.3094 | − | 17.4991i | −1.00641 | − | 0.581049i | −0.0962694 | − | 0.995355i | \(-0.530691\pi\) |
−0.910138 | + | 0.414306i | \(0.864024\pi\) | |||||||
\(908\) | 7.50090 | + | 35.2890i | 0.248926 | + | 1.17111i | ||||
\(909\) | 37.9209 | − | 17.3919i | 1.25776 | − | 0.576852i | ||||
\(910\) | 6.10293 | + | 44.3660i | 0.202310 | + | 1.47072i | ||||
\(911\) | −28.4360 | + | 39.1388i | −0.942127 | + | 1.29673i | 0.0128096 | + | 0.999918i | \(0.495922\pi\) |
−0.954937 | + | 0.296809i | \(0.904078\pi\) | |||||||
\(912\) | −22.6151 | + | 39.6790i | −0.748861 | + | 1.31390i | ||||
\(913\) | 2.69835 | + | 25.6731i | 0.0893025 | + | 0.849656i | ||||
\(914\) | −7.16550 | − | 16.0940i | −0.237014 | − | 0.532341i | ||||
\(915\) | 1.34282 | − | 18.5688i | 0.0443921 | − | 0.613864i | ||||
\(916\) | −18.9204 | − | 26.0417i | −0.625147 | − | 0.860441i | ||||
\(917\) | 6.01472 | − | 10.5396i | 0.198624 | − | 0.348048i | ||||
\(918\) | 12.2398 | − | 39.9270i | 0.403974 | − | 1.31779i | ||||
\(919\) | −5.93891 | + | 1.26235i | −0.195907 | + | 0.0416412i | −0.304820 | − | 0.952410i | \(-0.598596\pi\) |
0.108913 | + | 0.994051i | \(0.465263\pi\) | |||||||
\(920\) | 1.02060 | − | 13.0991i | 0.0336482 | − | 0.431864i | ||||
\(921\) | 30.1493 | + | 9.61088i | 0.993452 | + | 0.316689i | ||||
\(922\) | 32.3380 | − | 35.9150i | 1.06499 | − | 1.18280i | ||||
\(923\) | −0.970024 | + | 1.33512i | −0.0319287 | + | 0.0439461i | ||||
\(924\) | 10.7227 | + | 11.6582i | 0.352750 | + | 0.383526i | ||||
\(925\) | 4.26178 | + | 15.8061i | 0.140127 | + | 0.519703i | ||||
\(926\) | −20.7914 | + | 12.0039i | −0.683249 | + | 0.394474i | ||||
\(927\) | −8.47734 | + | 1.90080i | −0.278433 | + | 0.0624304i | ||||
\(928\) | −5.08220 | + | 23.9099i | −0.166832 | + | 0.784881i | ||||
\(929\) | 16.0498 | − | 17.8251i | 0.526578 | − | 0.584824i | −0.419909 | − | 0.907566i | \(-0.637938\pi\) |
0.946487 | + | 0.322742i | \(0.104605\pi\) | |||||||
\(930\) | −44.5662 | + | 34.6486i | −1.46138 | + | 1.13617i | ||||
\(931\) | 35.9479 | − | 12.0803i | 1.17814 | − | 0.395917i | ||||
\(932\) | 11.5718 | 0.379048 | ||||||||
\(933\) | 25.8284 | − | 2.86013i | 0.845585 | − | 0.0936364i | ||||
\(934\) | 13.0794 | − | 1.37470i | 0.427970 | − | 0.0449814i | ||||
\(935\) | −1.92782 | + | 24.7430i | −0.0630465 | + | 0.809183i | ||||
\(936\) | −4.30655 | + | 13.7741i | −0.140764 | + | 0.450221i | ||||
\(937\) | 12.5228 | − | 9.09838i | 0.409104 | − | 0.297231i | −0.364135 | − | 0.931346i | \(-0.618635\pi\) |
0.773239 | + | 0.634115i | \(0.218635\pi\) | |||||||
\(938\) | 27.4664 | + | 2.74756i | 0.896808 | + | 0.0897110i | ||||
\(939\) | 16.0571 | + | 14.2968i | 0.524003 | + | 0.466559i | ||||
\(940\) | −9.38214 | + | 13.6740i | −0.306012 | + | 0.445997i | ||||
\(941\) | −2.46183 | − | 23.4227i | −0.0802533 | − | 0.763559i | −0.958450 | − | 0.285260i | \(-0.907920\pi\) |
0.878197 | − | 0.478299i | \(-0.158747\pi\) | |||||||
\(942\) | −34.2419 | − | 46.5825i | −1.11566 | − | 1.51774i | ||||
\(943\) | 11.5295 | + | 19.9696i | 0.375451 | + | 0.650300i | ||||
\(944\) | 18.4088 | − | 56.6566i | 0.599156 | − | 1.84401i | ||||
\(945\) | −7.84701 | − | 29.7225i | −0.255263 | − | 0.966872i | ||||
\(946\) | −7.12682 | − | 21.9341i | −0.231713 | − | 0.713139i | ||||
\(947\) | 14.5484 | − | 16.1577i | 0.472761 | − | 0.525054i | −0.458849 | − | 0.888514i | \(-0.651738\pi\) |
0.931610 | + | 0.363460i | \(0.118405\pi\) | |||||||
\(948\) | −0.691271 | + | 0.228870i | −0.0224515 | + | 0.00743334i | ||||
\(949\) | 23.2046 | − | 40.1915i | 0.753253 | − | 1.30467i | ||||
\(950\) | 35.0787 | − | 35.1888i | 1.13810 | − | 1.14168i | ||||
\(951\) | −46.9199 | − | 4.66757i | −1.52148 | − | 0.151356i | ||||
\(952\) | 12.8722 | + | 4.11115i | 0.417191 | + | 0.133243i | ||||
\(953\) | −15.2841 | − | 47.0395i | −0.495099 | − | 1.52376i | −0.816802 | − | 0.576918i | \(-0.804255\pi\) |
0.321702 | − | 0.946841i | \(-0.395745\pi\) | |||||||
\(954\) | 32.1992 | − | 23.9463i | 1.04249 | − | 0.775290i | ||||
\(955\) | 2.35779 | + | 0.183705i | 0.0762964 | + | 0.00594454i | ||||
\(956\) | −11.9742 | + | 10.7816i | −0.387272 | + | 0.348702i | ||||
\(957\) | 6.69563 | + | 14.8161i | 0.216439 | + | 0.478937i | ||||
\(958\) | 0.971741 | − | 2.99071i | 0.0313955 | − | 0.0966255i | ||||
\(959\) | −26.4582 | − | 19.0209i | −0.854381 | − | 0.614218i | ||||
\(960\) | 5.14010 | − | 7.58158i | 0.165896 | − | 0.244694i | ||||
\(961\) | 3.35984 | − | 31.9668i | 0.108382 | − | 1.03119i | ||||
\(962\) | 24.6488 | − | 2.59070i | 0.794710 | − | 0.0835274i | ||||
\(963\) | −1.45819 | + | 15.5356i | −0.0469894 | + | 0.500628i | ||||
\(964\) | −25.8385 | − | 2.71574i | −0.832203 | − | 0.0874680i | ||||
\(965\) | 9.77552 | − | 52.9755i | 0.314685 | − | 1.70534i | ||||
\(966\) | 40.1567 | − | 13.5192i | 1.29202 | − | 0.434975i | ||||
\(967\) | −11.9633 | − | 3.88711i | −0.384714 | − | 0.125001i | 0.110273 | − | 0.993901i | \(-0.464827\pi\) |
−0.494987 | + | 0.868900i | \(0.664827\pi\) | |||||||
\(968\) | 2.67129 | + | 4.62681i | 0.0858586 | + | 0.148711i | ||||
\(969\) | −24.3514 | − | 33.1275i | −0.782280 | − | 1.06421i | ||||
\(970\) | 14.0892 | + | 22.9511i | 0.452376 | + | 0.736914i | ||||
\(971\) | 19.5524 | − | 21.7151i | 0.627466 | − | 0.696871i | −0.342664 | − | 0.939458i | \(-0.611329\pi\) |
0.970130 | + | 0.242587i | \(0.0779959\pi\) | |||||||
\(972\) | −3.84169 | + | 20.9208i | −0.123222 | + | 0.671036i | ||||
\(973\) | −8.66405 | − | 39.7786i | −0.277757 | − | 1.27524i | ||||
\(974\) | 12.3393i | 0.395375i | ||||||||
\(975\) | 19.2512 | − | 30.1123i | 0.616532 | − | 0.964366i | ||||
\(976\) | −20.2616 | − | 11.6980i | −0.648558 | − | 0.374445i | ||||
\(977\) | 0.790975 | − | 0.352165i | 0.0253055 | − | 0.0112668i | −0.394045 | − | 0.919091i | \(-0.628925\pi\) |
0.419350 | + | 0.907824i | \(0.362258\pi\) | |||||||
\(978\) | −29.4600 | − | 32.3547i | −0.942028 | − | 1.03459i | ||||
\(979\) | 4.24482 | − | 1.37923i | 0.135665 | − | 0.0440803i | ||||
\(980\) | −20.7127 | + | 5.21031i | −0.661643 | + | 0.166437i | ||||
\(981\) | −12.7786 | + | 22.7134i | −0.407988 | + | 0.725183i | ||||
\(982\) | −28.8921 | + | 16.6809i | −0.921985 | + | 0.532308i | ||||
\(983\) | −28.4260 | + | 25.5949i | −0.906650 | + | 0.816351i | −0.983540 | − | 0.180688i | \(-0.942168\pi\) |
0.0768904 | + | 0.997040i | \(0.475501\pi\) | |||||||
\(984\) | −0.0514104 | − | 9.23550i | −0.00163891 | − | 0.294417i | ||||
\(985\) | −38.9486 | + | 29.9348i | −1.24101 | + | 0.953803i | ||||
\(986\) | −24.0946 | − | 17.5058i | −0.767329 | − | 0.557497i | ||||
\(987\) | 24.4159 | + | 4.92025i | 0.777167 | + | 0.156613i | ||||
\(988\) | −17.9321 | − | 24.6814i | −0.570496 | − | 0.785221i | ||||
\(989\) | −24.8836 | − | 2.61537i | −0.791253 | − | 0.0831641i | ||||
\(990\) | −1.18713 | − | 31.1463i | −0.0377294 | − | 0.989894i | ||||
\(991\) | 4.22233 | + | 40.1727i | 0.134127 | + | 1.27613i | 0.829918 | + | 0.557885i | \(0.188387\pi\) |
−0.695791 | + | 0.718244i | \(0.744946\pi\) | |||||||
\(992\) | 10.8978 | + | 51.2703i | 0.346007 | + | 1.62783i | ||||
\(993\) | −3.96556 | − | 0.394491i | −0.125843 | − | 0.0125188i | ||||
\(994\) | −1.68550 | − | 0.961881i | −0.0534609 | − | 0.0305090i | ||||
\(995\) | 5.73553 | − | 31.0819i | 0.181828 | − | 0.985364i | ||||
\(996\) | 16.2154 | + | 17.8087i | 0.513806 | + | 0.564290i | ||||
\(997\) | −2.44143 | − | 0.518941i | −0.0773207 | − | 0.0164350i | 0.169089 | − | 0.985601i | \(-0.445918\pi\) |
−0.246410 | + | 0.969166i | \(0.579251\pi\) | |||||||
\(998\) | −71.8141 | + | 31.9737i | −2.27324 | + | 1.01211i | ||||
\(999\) | −16.5797 | + | 3.81456i | −0.524558 | + | 0.120687i |
(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 | 525.2.bp.a.59.15 | ✓ | 608 | |
3.2 | odd | 2 | inner | 525.2.bp.a.59.62 | yes | 608 | |
7.5 | odd | 6 | inner | 525.2.bp.a.509.62 | yes | 608 | |
21.5 | even | 6 | inner | 525.2.bp.a.509.15 | yes | 608 | |
25.14 | even | 10 | inner | 525.2.bp.a.164.15 | yes | 608 | |
75.14 | odd | 10 | inner | 525.2.bp.a.164.62 | yes | 608 | |
175.89 | odd | 30 | inner | 525.2.bp.a.89.62 | yes | 608 | |
525.89 | even | 30 | inner | 525.2.bp.a.89.15 | yes | 608 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
525.2.bp.a.59.15 | ✓ | 608 | 1.1 | even | 1 | trivial | |
525.2.bp.a.59.62 | yes | 608 | 3.2 | odd | 2 | inner | |
525.2.bp.a.89.15 | yes | 608 | 525.89 | even | 30 | inner | |
525.2.bp.a.89.62 | yes | 608 | 175.89 | odd | 30 | inner | |
525.2.bp.a.164.15 | yes | 608 | 25.14 | even | 10 | inner | |
525.2.bp.a.164.62 | yes | 608 | 75.14 | odd | 10 | inner | |
525.2.bp.a.509.15 | yes | 608 | 21.5 | even | 6 | inner | |
525.2.bp.a.509.62 | yes | 608 | 7.5 | odd | 6 | inner |