Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(13,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.bb (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 13.20 | ||
Character | \(\chi\) | \(=\) | 552.13 |
Dual form | 552.2.bb.a.85.20 |
$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{7}{11}\right)\) | \(1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.355714 | − | 1.36875i | −0.251528 | − | 0.967850i | ||||
\(3\) | 0.540641 | − | 0.841254i | 0.312139 | − | 0.485698i | ||||
\(4\) | −1.74694 | + | 0.973765i | −0.873468 | + | 0.486882i | ||||
\(5\) | 0.190010 | + | 0.0867748i | 0.0849752 | + | 0.0388069i | 0.457449 | − | 0.889236i | \(-0.348763\pi\) |
−0.372474 | + | 0.928043i | \(0.621490\pi\) | |||||||
\(6\) | −1.34378 | − | 0.440755i | −0.548594 | − | 0.179937i | ||||
\(7\) | 2.41838 | + | 0.710100i | 0.914061 | + | 0.268392i | 0.704749 | − | 0.709457i | \(-0.251060\pi\) |
0.209312 | + | 0.977849i | \(0.432878\pi\) | |||||||
\(8\) | 1.95425 | + | 2.04473i | 0.690930 | + | 0.722921i | ||||
\(9\) | −0.415415 | − | 0.909632i | −0.138472 | − | 0.303211i | ||||
\(10\) | 0.0511834 | − | 0.290943i | 0.0161856 | − | 0.0920042i | ||||
\(11\) | 4.36540 | + | 3.78264i | 1.31622 | + | 1.14051i | 0.980060 | + | 0.198703i | \(0.0636728\pi\) |
0.336157 | + | 0.941806i | \(0.390873\pi\) | |||||||
\(12\) | −0.125281 | + | 1.99607i | −0.0361656 | + | 0.576216i | ||||
\(13\) | 1.69874 | + | 5.78537i | 0.471145 | + | 1.60457i | 0.761845 | + | 0.647759i | \(0.224294\pi\) |
−0.290700 | + | 0.956814i | \(0.593888\pi\) | |||||||
\(14\) | 0.111696 | − | 3.56274i | 0.0298520 | − | 0.952182i | ||||
\(15\) | 0.175727 | − | 0.112933i | 0.0453725 | − | 0.0291591i | ||||
\(16\) | 2.10356 | − | 3.40221i | 0.525891 | − | 0.850552i | ||||
\(17\) | 0.569168 | + | 3.95865i | 0.138043 | + | 0.960114i | 0.934638 | + | 0.355600i | \(0.115723\pi\) |
−0.796595 | + | 0.604514i | \(0.793367\pi\) | |||||||
\(18\) | −1.09729 | + | 0.892167i | −0.258633 | + | 0.210286i | ||||
\(19\) | −6.83272 | − | 0.982398i | −1.56753 | − | 0.225377i | −0.696849 | − | 0.717218i | \(-0.745415\pi\) |
−0.870685 | + | 0.491840i | \(0.836324\pi\) | |||||||
\(20\) | −0.416434 | + | 0.0334354i | −0.0931174 | + | 0.00747638i | ||||
\(21\) | 1.90485 | − | 1.65056i | 0.415672 | − | 0.360182i | ||||
\(22\) | 3.62464 | − | 7.32066i | 0.772776 | − | 1.56077i | ||||
\(23\) | 3.93147 | − | 2.74655i | 0.819768 | − | 0.572696i | ||||
\(24\) | 2.77668 | − | 0.538552i | 0.566788 | − | 0.109932i | ||||
\(25\) | −3.24573 | − | 3.74577i | −0.649146 | − | 0.749154i | ||||
\(26\) | 7.31444 | − | 4.38308i | 1.43448 | − | 0.859593i | ||||
\(27\) | −0.989821 | − | 0.142315i | −0.190491 | − | 0.0273885i | ||||
\(28\) | −4.91622 | + | 1.11443i | −0.929078 | + | 0.210608i | ||||
\(29\) | 0.673989 | − | 0.0969050i | 0.125157 | − | 0.0179948i | −0.0794518 | − | 0.996839i | \(-0.525317\pi\) |
0.204608 | + | 0.978844i | \(0.434408\pi\) | |||||||
\(30\) | −0.217085 | − | 0.200354i | −0.0396341 | − | 0.0365794i | ||||
\(31\) | 0.246501 | − | 0.158417i | 0.0442729 | − | 0.0284525i | −0.518317 | − | 0.855188i | \(-0.673441\pi\) |
0.562590 | + | 0.826736i | \(0.309805\pi\) | |||||||
\(32\) | −5.40503 | − | 1.66903i | −0.955483 | − | 0.295046i | ||||
\(33\) | 5.54227 | − | 1.62736i | 0.964786 | − | 0.283287i | ||||
\(34\) | 5.21593 | − | 2.18719i | 0.894524 | − | 0.375101i | ||||
\(35\) | 0.397898 | + | 0.344780i | 0.0672570 | + | 0.0582785i | ||||
\(36\) | 1.61147 | + | 1.18455i | 0.268578 | + | 0.197425i | ||||
\(37\) | 1.94862 | − | 0.889905i | 0.320351 | − | 0.146300i | −0.248748 | − | 0.968568i | \(-0.580019\pi\) |
0.569100 | + | 0.822269i | \(0.307292\pi\) | |||||||
\(38\) | 1.08584 | + | 9.70172i | 0.176147 | + | 1.57383i | ||||
\(39\) | 5.78537 | + | 1.69874i | 0.926401 | + | 0.272016i | ||||
\(40\) | 0.193896 | + | 0.558099i | 0.0306576 | + | 0.0882432i | ||||
\(41\) | 4.71909 | − | 10.3334i | 0.736997 | − | 1.61380i | −0.0514343 | − | 0.998676i | \(-0.516379\pi\) |
0.788432 | − | 0.615123i | \(-0.210893\pi\) | |||||||
\(42\) | −2.93678 | − | 2.02013i | −0.453155 | − | 0.311712i | ||||
\(43\) | −3.10617 | + | 4.83330i | −0.473687 | + | 0.737071i | −0.993077 | − | 0.117466i | \(-0.962523\pi\) |
0.519390 | + | 0.854537i | \(0.326159\pi\) | |||||||
\(44\) | −11.3095 | − | 2.35715i | −1.70497 | − | 0.355354i | ||||
\(45\) | − | 0.208887i | − | 0.0311390i | ||||||
\(46\) | −5.15781 | − | 4.40420i | −0.760478 | − | 0.649364i | ||||
\(47\) | 3.14610 | 0.458905 | 0.229453 | − | 0.973320i | \(-0.426306\pi\) | ||||
0.229453 | + | 0.973320i | \(0.426306\pi\) | |||||||
\(48\) | −1.72485 | − | 3.60900i | −0.248960 | − | 0.520915i | ||||
\(49\) | −0.544467 | − | 0.349908i | −0.0777810 | − | 0.0499868i | ||||
\(50\) | −3.97246 | + | 5.77501i | −0.561791 | + | 0.816709i | ||||
\(51\) | 3.63794 | + | 1.66139i | 0.509414 | + | 0.232642i | ||||
\(52\) | −8.60117 | − | 8.45250i | −1.19277 | − | 1.17215i | ||||
\(53\) | 0.724646 | − | 2.46792i | 0.0995378 | − | 0.338995i | −0.894634 | − | 0.446799i | \(-0.852564\pi\) |
0.994172 | + | 0.107804i | \(0.0343820\pi\) | |||||||
\(54\) | 0.157300 | + | 1.40544i | 0.0214059 | + | 0.191256i | ||||
\(55\) | 0.501233 | + | 1.09755i | 0.0675862 | + | 0.147993i | ||||
\(56\) | 3.27414 | + | 6.33264i | 0.437526 | + | 0.846234i | ||||
\(57\) | −4.52050 | + | 5.21693i | −0.598754 | + | 0.690999i | ||||
\(58\) | −0.372386 | − | 0.888050i | −0.0488967 | − | 0.116607i | ||||
\(59\) | 2.17725 | + | 7.41504i | 0.283454 | + | 0.965356i | 0.970973 | + | 0.239189i | \(0.0768817\pi\) |
−0.687519 | + | 0.726167i | \(0.741300\pi\) | |||||||
\(60\) | −0.197013 | + | 0.368403i | −0.0254343 | + | 0.0475606i | ||||
\(61\) | −6.75974 | − | 10.5184i | −0.865496 | − | 1.34674i | −0.937012 | − | 0.349298i | \(-0.886420\pi\) |
0.0715158 | − | 0.997439i | \(-0.477216\pi\) | |||||||
\(62\) | −0.304516 | − | 0.281046i | −0.0386736 | − | 0.0356929i | ||||
\(63\) | −0.358701 | − | 2.49482i | −0.0451921 | − | 0.314318i | ||||
\(64\) | −0.361841 | + | 7.99181i | −0.0452302 | + | 0.998977i | ||||
\(65\) | −0.179247 | + | 1.24669i | −0.0222328 | + | 0.154632i | ||||
\(66\) | −4.19890 | − | 7.00709i | −0.516849 | − | 0.862513i | ||||
\(67\) | −2.83098 | + | 2.45306i | −0.345859 | + | 0.299689i | −0.810416 | − | 0.585854i | \(-0.800759\pi\) |
0.464557 | + | 0.885543i | \(0.346214\pi\) | |||||||
\(68\) | −4.84909 | − | 6.36127i | −0.588039 | − | 0.771417i | ||||
\(69\) | −0.185034 | − | 4.79226i | −0.0222754 | − | 0.576920i | ||||
\(70\) | 0.330379 | − | 0.667264i | 0.0394879 | − | 0.0797533i | ||||
\(71\) | 7.73672 | + | 8.92865i | 0.918180 | + | 1.05964i | 0.998024 | + | 0.0628285i | \(0.0200121\pi\) |
−0.0798447 | + | 0.996807i | \(0.525442\pi\) | |||||||
\(72\) | 1.04813 | − | 2.62706i | 0.123523 | − | 0.309602i | ||||
\(73\) | 1.62593 | − | 11.3086i | 0.190300 | − | 1.32357i | −0.640912 | − | 0.767614i | \(-0.721444\pi\) |
0.831213 | − | 0.555954i | \(-0.187647\pi\) | |||||||
\(74\) | −1.91121 | − | 2.35062i | −0.222173 | − | 0.273254i | ||||
\(75\) | −4.90592 | + | 0.705364i | −0.566487 | + | 0.0814485i | ||||
\(76\) | 12.8930 | − | 4.93728i | 1.47892 | − | 0.566345i | ||||
\(77\) | 7.87113 | + | 12.2477i | 0.896999 | + | 1.39576i | ||||
\(78\) | 0.267205 | − | 8.52297i | 0.0302550 | − | 0.965036i | ||||
\(79\) | −2.27930 | + | 0.669262i | −0.256441 | + | 0.0752978i | −0.407426 | − | 0.913238i | \(-0.633574\pi\) |
0.150985 | + | 0.988536i | \(0.451755\pi\) | |||||||
\(80\) | 0.694924 | − | 0.463918i | 0.0776949 | − | 0.0518676i | ||||
\(81\) | −0.654861 | + | 0.755750i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | −15.8224 | − | 2.78351i | −1.74729 | − | 0.307388i | ||||
\(83\) | −13.0165 | + | 5.94443i | −1.42874 | + | 0.652486i | −0.971540 | − | 0.236876i | \(-0.923876\pi\) |
−0.457204 | + | 0.889362i | \(0.651149\pi\) | |||||||
\(84\) | −1.72039 | + | 4.73829i | −0.187710 | + | 0.516990i | ||||
\(85\) | −0.235363 | + | 0.801573i | −0.0255287 | + | 0.0869428i | ||||
\(86\) | 7.72047 | + | 2.53229i | 0.832520 | + | 0.273064i | ||||
\(87\) | 0.282864 | − | 0.619387i | 0.0303263 | − | 0.0664052i | ||||
\(88\) | 0.796589 | + | 16.3183i | 0.0849166 | + | 1.73953i | ||||
\(89\) | −14.0921 | − | 9.05642i | −1.49376 | − | 0.959979i | −0.995681 | − | 0.0928449i | \(-0.970404\pi\) |
−0.498075 | − | 0.867134i | \(-0.665960\pi\) | |||||||
\(90\) | −0.285913 | + | 0.0743040i | −0.0301379 | + | 0.00783233i | ||||
\(91\) | 15.1975i | 1.59313i | ||||||||
\(92\) | −4.19353 | + | 8.62637i | −0.437205 | + | 0.899362i | ||||
\(93\) | − | 0.293016i | − | 0.0303844i | ||||||
\(94\) | −1.11911 | − | 4.30621i | −0.115427 | − | 0.444152i | ||||
\(95\) | −1.21304 | − | 0.779574i | −0.124455 | − | 0.0799826i | ||||
\(96\) | −4.32626 | + | 3.64465i | −0.441547 | + | 0.371981i | ||||
\(97\) | −2.56200 | + | 5.60999i | −0.260131 | + | 0.569608i | −0.993962 | − | 0.109724i | \(-0.965003\pi\) |
0.733831 | + | 0.679332i | \(0.237731\pi\) | |||||||
\(98\) | −0.285260 | + | 0.869704i | −0.0288156 | + | 0.0878534i | ||||
\(99\) | 1.62736 | − | 5.54227i | 0.163556 | − | 0.557019i | ||||
\(100\) | 9.31758 | + | 3.38304i | 0.931758 | + | 0.338304i | ||||
\(101\) | 11.3221 | − | 5.17063i | 1.12659 | − | 0.514497i | 0.237117 | − | 0.971481i | \(-0.423798\pi\) |
0.889475 | + | 0.456984i | \(0.151070\pi\) | |||||||
\(102\) | 0.979959 | − | 5.57040i | 0.0970304 | − | 0.551552i | ||||
\(103\) | 7.58841 | − | 8.75749i | 0.747708 | − | 0.862901i | −0.246636 | − | 0.969108i | \(-0.579325\pi\) |
0.994344 | + | 0.106207i | \(0.0338706\pi\) | |||||||
\(104\) | −8.50977 | + | 14.7795i | −0.834451 | + | 1.44925i | ||||
\(105\) | 0.505167 | − | 0.148331i | 0.0492993 | − | 0.0144756i | ||||
\(106\) | −3.63572 | − | 0.113984i | −0.353133 | − | 0.0110711i | ||||
\(107\) | −2.68053 | − | 4.17098i | −0.259137 | − | 0.403224i | 0.687169 | − | 0.726497i | \(-0.258853\pi\) |
−0.946306 | + | 0.323273i | \(0.895217\pi\) | |||||||
\(108\) | 1.86774 | − | 0.715238i | 0.179723 | − | 0.0688238i | ||||
\(109\) | 9.47882 | − | 1.36285i | 0.907906 | − | 0.130537i | 0.327488 | − | 0.944855i | \(-0.393798\pi\) |
0.580419 | + | 0.814318i | \(0.302889\pi\) | |||||||
\(110\) | 1.32397 | − | 1.07647i | 0.126235 | − | 0.102638i | ||||
\(111\) | 0.304868 | − | 2.12040i | 0.0289368 | − | 0.201260i | ||||
\(112\) | 7.50312 | − | 6.73408i | 0.708978 | − | 0.636311i | ||||
\(113\) | 6.04769 | + | 6.97941i | 0.568919 | + | 0.656567i | 0.965185 | − | 0.261568i | \(-0.0842397\pi\) |
−0.396266 | + | 0.918136i | \(0.629694\pi\) | |||||||
\(114\) | 8.74866 | + | 4.33168i | 0.819387 | + | 0.405699i | ||||
\(115\) | 0.985351 | − | 0.180721i | 0.0918844 | − | 0.0168523i | ||||
\(116\) | −1.08305 | + | 0.825594i | −0.100559 | + | 0.0766545i | ||||
\(117\) | 4.55688 | − | 3.94856i | 0.421283 | − | 0.365044i | ||||
\(118\) | 9.37483 | − | 5.61774i | 0.863023 | − | 0.517155i | ||||
\(119\) | −1.43457 | + | 9.97767i | −0.131507 | + | 0.914652i | ||||
\(120\) | 0.574331 | + | 0.138615i | 0.0524290 | + | 0.0126538i | ||||
\(121\) | 3.18288 | + | 22.1374i | 0.289353 | + | 2.01249i | ||||
\(122\) | −11.9924 | + | 12.9939i | −1.08574 | + | 1.17641i | ||||
\(123\) | −6.14164 | − | 9.55658i | −0.553773 | − | 0.861688i | ||||
\(124\) | −0.276361 | + | 0.516778i | −0.0248179 | + | 0.0464080i | ||||
\(125\) | −0.585935 | − | 1.99551i | −0.0524076 | − | 0.178484i | ||||
\(126\) | −3.28718 | + | 1.37841i | −0.292845 | + | 0.122799i | ||||
\(127\) | 5.68698 | − | 6.56313i | 0.504638 | − | 0.582383i | −0.445080 | − | 0.895491i | \(-0.646825\pi\) |
0.949718 | + | 0.313108i | \(0.101370\pi\) | |||||||
\(128\) | 11.0675 | − | 2.34753i | 0.978236 | − | 0.207494i | ||||
\(129\) | 2.38671 | + | 5.22616i | 0.210138 | + | 0.460138i | ||||
\(130\) | 1.77016 | − | 0.198121i | 0.155253 | − | 0.0173764i | ||||
\(131\) | 1.76611 | − | 6.01481i | 0.154306 | − | 0.525517i | −0.845661 | − | 0.533721i | \(-0.820793\pi\) |
0.999966 | + | 0.00820412i | \(0.00261148\pi\) | |||||||
\(132\) | −8.09732 | + | 8.23976i | −0.704782 | + | 0.717179i | ||||
\(133\) | −15.8265 | − | 7.22772i | −1.37233 | − | 0.626723i | ||||
\(134\) | 4.36464 | + | 3.00231i | 0.377047 | + | 0.259360i | ||||
\(135\) | −0.175727 | − | 0.112933i | −0.0151242 | − | 0.00971971i | ||||
\(136\) | −6.98207 | + | 8.89997i | −0.598708 | + | 0.763166i | ||||
\(137\) | −0.313042 | −0.0267450 | −0.0133725 | − | 0.999911i | \(-0.504257\pi\) | ||||
−0.0133725 | + | 0.999911i | \(0.504257\pi\) | |||||||
\(138\) | −6.49357 | + | 1.95794i | −0.552770 | + | 0.166671i | ||||
\(139\) | − | 5.60105i | − | 0.475075i | −0.971378 | − | 0.237538i | \(-0.923660\pi\) | ||
0.971378 | − | 0.237538i | \(-0.0763403\pi\) | |||||||
\(140\) | −1.03084 | − | 0.214850i | −0.0871216 | − | 0.0181581i | ||||
\(141\) | 1.70091 | − | 2.64667i | 0.143242 | − | 0.222889i | ||||
\(142\) | 9.46900 | − | 13.7657i | 0.794621 | − | 1.15519i | ||||
\(143\) | −14.4683 | + | 31.6812i | −1.20990 | + | 2.64931i | ||||
\(144\) | −3.96861 | − | 0.500142i | −0.330717 | − | 0.0416785i | ||||
\(145\) | 0.136474 | + | 0.0400723i | 0.0113335 | + | 0.00332782i | ||||
\(146\) | −16.0569 | + | 1.79713i | −1.32888 | + | 0.148732i | ||||
\(147\) | −0.588722 | + | 0.268860i | −0.0485570 | + | 0.0221752i | ||||
\(148\) | −2.53756 | + | 3.45211i | −0.208586 | + | 0.283761i | ||||
\(149\) | 1.66760 | + | 1.44498i | 0.136615 | + | 0.118377i | 0.720488 | − | 0.693468i | \(-0.243918\pi\) |
−0.583873 | + | 0.811845i | \(0.698463\pi\) | |||||||
\(150\) | 2.71057 | + | 6.46405i | 0.221317 | + | 0.527788i | ||||
\(151\) | −23.0454 | + | 6.76675i | −1.87541 | + | 0.550670i | −0.878007 | + | 0.478647i | \(0.841127\pi\) |
−0.997403 | + | 0.0720229i | \(0.977055\pi\) | |||||||
\(152\) | −11.3441 | − | 15.8909i | −0.920127 | − | 1.28892i | ||||
\(153\) | 3.36447 | − | 2.16222i | 0.272002 | − | 0.174805i | ||||
\(154\) | 13.9642 | − | 15.1303i | 1.12526 | − | 1.21923i | ||||
\(155\) | 0.0605843 | − | 0.00871070i | 0.00486625 | − | 0.000699661i | ||||
\(156\) | −11.7608 | + | 2.66600i | −0.941621 | + | 0.213451i | ||||
\(157\) | 18.5052 | + | 2.66065i | 1.47688 | + | 0.212343i | 0.833208 | − | 0.552960i | \(-0.186502\pi\) |
0.643671 | + | 0.765303i | \(0.277411\pi\) | |||||||
\(158\) | 1.72683 | + | 2.88171i | 0.137379 | + | 0.229257i | ||||
\(159\) | −1.68437 | − | 1.94387i | −0.133579 | − | 0.154159i | ||||
\(160\) | −0.882180 | − | 0.786154i | −0.0697425 | − | 0.0621509i | ||||
\(161\) | 11.4581 | − | 3.85046i | 0.903025 | − | 0.303459i | ||||
\(162\) | 1.26737 | + | 0.627508i | 0.0995742 | + | 0.0493017i | ||||
\(163\) | 1.36908 | − | 1.18632i | 0.107235 | − | 0.0929194i | −0.599593 | − | 0.800305i | \(-0.704671\pi\) |
0.706828 | + | 0.707386i | \(0.250125\pi\) | |||||||
\(164\) | 1.81832 | + | 22.6470i | 0.141987 | + | 1.76843i | ||||
\(165\) | 1.19430 | + | 0.171715i | 0.0929763 | + | 0.0133680i | ||||
\(166\) | 12.7666 | + | 15.7017i | 0.990877 | + | 1.21869i | ||||
\(167\) | −0.591885 | − | 4.11665i | −0.0458014 | − | 0.318556i | −0.999823 | − | 0.0188177i | \(-0.994010\pi\) |
0.954022 | − | 0.299738i | \(-0.0968993\pi\) | |||||||
\(168\) | 7.09749 | + | 0.669298i | 0.547583 | + | 0.0516375i | ||||
\(169\) | −19.6485 | + | 12.6273i | −1.51142 | + | 0.971333i | ||||
\(170\) | 1.18087 | + | 0.0370217i | 0.0905688 | + | 0.00283944i | ||||
\(171\) | 1.94480 | + | 6.62337i | 0.148722 | + | 0.506502i | ||||
\(172\) | 0.719786 | − | 11.4681i | 0.0548832 | − | 0.874438i | ||||
\(173\) | −13.3481 | − | 11.5662i | −1.01483 | − | 0.879359i | −0.0221086 | − | 0.999756i | \(-0.507038\pi\) |
−0.992726 | + | 0.120397i | \(0.961583\pi\) | |||||||
\(174\) | −0.948402 | − | 0.166845i | −0.0718982 | − | 0.0126485i | ||||
\(175\) | −5.18953 | − | 11.3635i | −0.392291 | − | 0.858998i | ||||
\(176\) | 22.0522 | − | 6.89497i | 1.66225 | − | 0.519728i | ||||
\(177\) | 7.41504 | + | 2.17725i | 0.557348 | + | 0.163652i | ||||
\(178\) | −7.38320 | + | 22.5100i | −0.553394 | + | 1.68719i | ||||
\(179\) | 9.69685 | + | 4.42840i | 0.724777 | + | 0.330994i | 0.743414 | − | 0.668832i | \(-0.233205\pi\) |
−0.0186370 | + | 0.999826i | \(0.505933\pi\) | |||||||
\(180\) | 0.203407 | + | 0.364912i | 0.0151610 | + | 0.0271989i | ||||
\(181\) | −7.44916 | + | 11.5911i | −0.553692 | + | 0.861561i | −0.999435 | − | 0.0335996i | \(-0.989303\pi\) |
0.445744 | + | 0.895161i | \(0.352939\pi\) | |||||||
\(182\) | 20.8015 | − | 5.40596i | 1.54191 | − | 0.400716i | ||||
\(183\) | −12.5032 | −0.924263 | ||||||||
\(184\) | 13.2990 | + | 2.67135i | 0.980417 | + | 0.196935i | ||||
\(185\) | 0.447479 | 0.0328993 | ||||||||
\(186\) | −0.401065 | + | 0.104230i | −0.0294075 | + | 0.00764252i | ||||
\(187\) | −12.4895 | + | 19.4340i | −0.913323 | + | 1.42116i | ||||
\(188\) | −5.49603 | + | 3.06356i | −0.400839 | + | 0.223433i | ||||
\(189\) | −2.29270 | − | 1.04704i | −0.166770 | − | 0.0761612i | ||||
\(190\) | −0.635543 | + | 1.93765i | −0.0461072 | + | 0.140572i | ||||
\(191\) | 14.1397 | + | 4.15180i | 1.02311 | + | 0.300413i | 0.749908 | − | 0.661542i | \(-0.230098\pi\) |
0.273206 | + | 0.961956i | \(0.411916\pi\) | |||||||
\(192\) | 6.52751 | + | 4.62510i | 0.471083 | + | 0.333788i | ||||
\(193\) | −7.89644 | − | 17.2908i | −0.568398 | − | 1.24462i | −0.947646 | − | 0.319324i | \(-0.896544\pi\) |
0.379247 | − | 0.925295i | \(-0.376183\pi\) | |||||||
\(194\) | 8.59000 | + | 1.51117i | 0.616726 | + | 0.108496i | ||||
\(195\) | 0.951872 | + | 0.824802i | 0.0681650 | + | 0.0590653i | ||||
\(196\) | 1.29188 | + | 0.0810833i | 0.0922768 | + | 0.00579166i | ||||
\(197\) | −5.86293 | − | 19.9673i | −0.417716 | − | 1.42261i | −0.852808 | − | 0.522225i | \(-0.825102\pi\) |
0.435091 | − | 0.900386i | \(-0.356716\pi\) | |||||||
\(198\) | −8.16484 | − | 0.255977i | −0.580250 | − | 0.0181915i | ||||
\(199\) | −13.8730 | + | 8.91566i | −0.983434 | + | 0.632014i | −0.930387 | − | 0.366578i | \(-0.880529\pi\) |
−0.0530462 | + | 0.998592i | \(0.516893\pi\) | |||||||
\(200\) | 1.31614 | − | 13.9568i | 0.0930649 | − | 0.986895i | ||||
\(201\) | 0.533101 | + | 3.70780i | 0.0376020 | + | 0.261528i | ||||
\(202\) | −11.1047 | − | 13.6578i | −0.781325 | − | 0.960961i | ||||
\(203\) | 1.69877 | + | 0.244247i | 0.119230 | + | 0.0171428i | ||||
\(204\) | −7.97306 | + | 0.640155i | −0.558226 | + | 0.0448198i | ||||
\(205\) | 1.79335 | − | 1.55395i | 0.125253 | − | 0.108532i | ||||
\(206\) | −14.6861 | − | 7.27145i | −1.02323 | − | 0.506626i | ||||
\(207\) | −4.13154 | − | 2.43523i | −0.287162 | − | 0.169260i | ||||
\(208\) | 23.2564 | + | 6.39044i | 1.61254 | + | 0.443097i | ||||
\(209\) | −26.1115 | − | 30.1343i | −1.80617 | − | 2.08443i | ||||
\(210\) | −0.382722 | − | 0.638683i | −0.0264103 | − | 0.0440733i | ||||
\(211\) | 2.81311 | + | 0.404463i | 0.193662 | + | 0.0278444i | 0.238463 | − | 0.971152i | \(-0.423356\pi\) |
−0.0448011 | + | 0.998996i | \(0.514265\pi\) | |||||||
\(212\) | 1.13726 | + | 5.01693i | 0.0781075 | + | 0.344564i | ||||
\(213\) | 11.6940 | − | 1.68135i | 0.801263 | − | 0.115204i | ||||
\(214\) | −4.75552 | + | 5.15264i | −0.325081 | + | 0.352227i | ||||
\(215\) | −1.00961 | + | 0.648839i | −0.0688550 | + | 0.0442504i | ||||
\(216\) | −1.64336 | − | 2.30204i | −0.111816 | − | 0.156634i | ||||
\(217\) | 0.708624 | − | 0.208071i | 0.0481045 | − | 0.0141248i | ||||
\(218\) | −5.23714 | − | 12.4893i | −0.354704 | − | 0.845883i | ||||
\(219\) | −8.63433 | − | 7.48169i | −0.583454 | − | 0.505566i | ||||
\(220\) | −1.94437 | − | 1.42926i | −0.131090 | − | 0.0963607i | ||||
\(221\) | −21.9354 | + | 10.0176i | −1.47553 | + | 0.673854i | ||||
\(222\) | −3.01074 | + | 0.336970i | −0.202068 | + | 0.0226160i | ||||
\(223\) | 8.55889 | + | 2.51312i | 0.573146 | + | 0.168291i | 0.555446 | − | 0.831553i | \(-0.312548\pi\) |
0.0176997 | + | 0.999843i | \(0.494366\pi\) | |||||||
\(224\) | −11.8862 | − | 7.87446i | −0.794181 | − | 0.526135i | ||||
\(225\) | −2.05895 | + | 4.50847i | −0.137263 | + | 0.300565i | ||||
\(226\) | 7.40179 | − | 10.7604i | 0.492360 | − | 0.715773i | ||||
\(227\) | 2.26730 | − | 3.52799i | 0.150486 | − | 0.234161i | −0.757823 | − | 0.652460i | \(-0.773737\pi\) |
0.908309 | + | 0.418299i | \(0.137374\pi\) | |||||||
\(228\) | 2.81695 | − | 13.5155i | 0.186557 | − | 0.895088i | ||||
\(229\) | 3.13780i | 0.207351i | 0.994611 | + | 0.103676i | \(0.0330604\pi\) | ||||
−0.994611 | + | 0.103676i | \(0.966940\pi\) | |||||||
\(230\) | −0.597864 | − | 1.28441i | −0.0394220 | − | 0.0846915i | ||||
\(231\) | 14.5589 | 0.957905 | ||||||||
\(232\) | 1.51529 | + | 1.18875i | 0.0994834 | + | 0.0780453i | ||||
\(233\) | −5.10382 | − | 3.28003i | −0.334362 | − | 0.214882i | 0.362676 | − | 0.931915i | \(-0.381863\pi\) |
−0.697039 | + | 0.717034i | \(0.745499\pi\) | |||||||
\(234\) | −7.02552 | − | 4.83265i | −0.459272 | − | 0.315920i | ||||
\(235\) | 0.597791 | + | 0.273002i | 0.0389956 | + | 0.0178087i | ||||
\(236\) | −11.0240 | − | 10.8335i | −0.717603 | − | 0.705198i | ||||
\(237\) | −0.669262 | + | 2.27930i | −0.0434732 | + | 0.148056i | ||||
\(238\) | 14.1672 | − | 1.58563i | 0.918324 | − | 0.102781i | ||||
\(239\) | 0.205268 | + | 0.449474i | 0.0132777 | + | 0.0290740i | 0.916155 | − | 0.400825i | \(-0.131276\pi\) |
−0.902877 | + | 0.429899i | \(0.858549\pi\) | |||||||
\(240\) | −0.0145680 | − | 0.835421i | −0.000940361 | − | 0.0539262i | ||||
\(241\) | 10.9064 | − | 12.5866i | 0.702541 | − | 0.810776i | −0.286552 | − | 0.958065i | \(-0.592509\pi\) |
0.989094 | + | 0.147289i | \(0.0470546\pi\) | |||||||
\(242\) | 29.1683 | − | 12.2311i | 1.87501 | − | 0.786248i | ||||
\(243\) | 0.281733 | + | 0.959493i | 0.0180732 | + | 0.0615515i | ||||
\(244\) | 22.0512 | + | 11.7925i | 1.41169 | + | 0.754937i | ||||
\(245\) | −0.0730911 | − | 0.113732i | −0.00466962 | − | 0.00726607i | ||||
\(246\) | −10.8959 | + | 11.8058i | −0.694695 | + | 0.752708i | ||||
\(247\) | −5.92348 | − | 41.1987i | −0.376902 | − | 2.62141i | ||||
\(248\) | 0.805643 | + | 0.194443i | 0.0511584 | + | 0.0123471i | ||||
\(249\) | −2.03647 | + | 14.1640i | −0.129056 | + | 0.897604i | ||||
\(250\) | −2.52292 | + | 1.51183i | −0.159564 | + | 0.0956163i | ||||
\(251\) | 16.8344 | − | 14.5871i | 1.06258 | − | 0.920727i | 0.0655535 | − | 0.997849i | \(-0.479119\pi\) |
0.997022 | + | 0.0771224i | \(0.0245732\pi\) | |||||||
\(252\) | 3.05599 | + | 4.00900i | 0.192510 | + | 0.252543i | ||||
\(253\) | 27.5516 | + | 2.88154i | 1.73216 | + | 0.181161i | ||||
\(254\) | −11.0062 | − | 5.44944i | −0.690590 | − | 0.341928i | ||||
\(255\) | 0.547079 | + | 0.631363i | 0.0342594 | + | 0.0395375i | ||||
\(256\) | −7.15003 | − | 14.3135i | −0.446877 | − | 0.894595i | ||||
\(257\) | 2.35328 | − | 16.3674i | 0.146794 | − | 1.02097i | −0.774630 | − | 0.632414i | \(-0.782064\pi\) |
0.921424 | − | 0.388559i | \(-0.127027\pi\) | |||||||
\(258\) | 6.30430 | − | 5.12581i | 0.392489 | − | 0.319119i | ||||
\(259\) | 5.34442 | − | 0.768412i | 0.332086 | − | 0.0477468i | ||||
\(260\) | −0.900848 | − | 2.35243i | −0.0558682 | − | 0.145891i | ||||
\(261\) | −0.368133 | − | 0.572827i | −0.0227869 | − | 0.0354571i | ||||
\(262\) | −8.86099 | − | 0.277802i | −0.547434 | − | 0.0171627i | ||||
\(263\) | 7.83744 | − | 2.30128i | 0.483277 | − | 0.141903i | −0.0310135 | − | 0.999519i | \(-0.509873\pi\) |
0.514291 | + | 0.857616i | \(0.328055\pi\) | |||||||
\(264\) | 14.1585 | + | 8.15219i | 0.871394 | + | 0.501733i | ||||
\(265\) | 0.351843 | − | 0.406049i | 0.0216136 | − | 0.0249434i | ||||
\(266\) | −4.26321 | + | 24.2335i | −0.261394 | + | 1.48585i | ||||
\(267\) | −15.2375 | + | 6.95873i | −0.932519 | + | 0.425867i | ||||
\(268\) | 2.55684 | − | 7.04204i | 0.156184 | − | 0.430161i | ||||
\(269\) | 4.28400 | − | 14.5900i | 0.261200 | − | 0.889566i | −0.719573 | − | 0.694416i | \(-0.755663\pi\) |
0.980773 | − | 0.195150i | \(-0.0625192\pi\) | |||||||
\(270\) | −0.0920679 | + | 0.280697i | −0.00560307 | + | 0.0170827i | ||||
\(271\) | −7.62800 | + | 16.7030i | −0.463368 | + | 1.01463i | 0.523339 | + | 0.852125i | \(0.324686\pi\) |
−0.986707 | + | 0.162510i | \(0.948041\pi\) | |||||||
\(272\) | 14.6654 | + | 6.39085i | 0.889222 | + | 0.387502i | ||||
\(273\) | 12.7849 | + | 8.21638i | 0.773780 | + | 0.497278i | ||||
\(274\) | 0.111353 | + | 0.428475i | 0.00672710 | + | 0.0258851i | ||||
\(275\) | − | 28.6292i | − | 1.72641i | ||||||
\(276\) | 4.98978 | + | 8.19159i | 0.300349 | + | 0.493076i | ||||
\(277\) | 16.6080i | 0.997878i | 0.866637 | + | 0.498939i | \(0.166277\pi\) | ||||
−0.866637 | + | 0.498939i | \(0.833723\pi\) | |||||||
\(278\) | −7.66643 | + | 1.99237i | −0.459802 | + | 0.119495i | ||||
\(279\) | −0.246501 | − | 0.158417i | −0.0147576 | − | 0.00948415i | ||||
\(280\) | 0.0726075 | + | 1.48738i | 0.00433913 | + | 0.0888879i | ||||
\(281\) | −5.99935 | + | 13.1367i | −0.357891 | + | 0.783672i | 0.641966 | + | 0.766733i | \(0.278119\pi\) |
−0.999857 | + | 0.0169385i | \(0.994608\pi\) | |||||||
\(282\) | −4.22765 | − | 1.38666i | −0.251753 | − | 0.0825742i | ||||
\(283\) | −1.63467 | + | 5.56718i | −0.0971711 | + | 0.330935i | −0.993703 | − | 0.112044i | \(-0.964260\pi\) |
0.896532 | + | 0.442979i | \(0.146078\pi\) | |||||||
\(284\) | −22.2100 | − | 8.06403i | −1.31792 | − | 0.478512i | ||||
\(285\) | −1.31164 | + | 0.599005i | −0.0776947 | + | 0.0354820i | ||||
\(286\) | 48.5101 | + | 8.53401i | 2.86846 | + | 0.504626i | ||||
\(287\) | 18.7502 | − | 21.6389i | 1.10679 | − | 1.27731i | ||||
\(288\) | 0.727123 | + | 5.60993i | 0.0428461 | + | 0.330568i | ||||
\(289\) | 0.964427 | − | 0.283181i | 0.0567310 | − | 0.0166577i | ||||
\(290\) | 0.00630322 | − | 0.201052i | 0.000370138 | − | 0.0118062i | ||||
\(291\) | 3.33430 | + | 5.18828i | 0.195460 | + | 0.304142i | ||||
\(292\) | 8.17150 | + | 21.3386i | 0.478201 | + | 1.24875i | ||||
\(293\) | −4.17079 | + | 0.599670i | −0.243660 | + | 0.0350331i | −0.263063 | − | 0.964779i | \(-0.584733\pi\) |
0.0194025 | + | 0.999812i | \(0.493824\pi\) | |||||||
\(294\) | 0.577418 | + | 0.710174i | 0.0336757 | + | 0.0414182i | ||||
\(295\) | −0.229738 | + | 1.59786i | −0.0133759 | + | 0.0930312i | ||||
\(296\) | 5.62770 | + | 2.24531i | 0.327104 | + | 0.130506i | ||||
\(297\) | −3.78264 | − | 4.36540i | −0.219491 | − | 0.253306i | ||||
\(298\) | 1.38463 | − | 2.79652i | 0.0802092 | − | 0.161998i | ||||
\(299\) | 22.5684 | + | 18.0793i | 1.30516 | + | 1.04555i | ||||
\(300\) | 7.88346 | − | 6.00944i | 0.455152 | − | 0.346955i | ||||
\(301\) | −10.9440 | + | 9.48305i | −0.630803 | + | 0.546594i | ||||
\(302\) | 17.4595 | + | 29.1363i | 1.00468 | + | 1.67661i | ||||
\(303\) | 1.77138 | − | 12.3202i | 0.101763 | − | 0.707778i | ||||
\(304\) | −17.7154 | + | 21.1798i | −1.01605 | + | 1.21475i | ||||
\(305\) | −0.371691 | − | 2.58517i | −0.0212830 | − | 0.148026i | ||||
\(306\) | −4.15632 | − | 3.83598i | −0.237601 | − | 0.219288i | ||||
\(307\) | −15.9820 | − | 24.8685i | −0.912142 | − | 1.41932i | −0.907834 | − | 0.419330i | \(-0.862265\pi\) |
−0.00430825 | − | 0.999991i | \(-0.501371\pi\) | |||||||
\(308\) | −25.6767 | − | 13.7313i | −1.46307 | − | 0.782416i | ||||
\(309\) | −3.26467 | − | 11.1184i | −0.185720 | − | 0.632505i | ||||
\(310\) | −0.0334734 | − | 0.0798260i | −0.00190116 | − | 0.00453381i | ||||
\(311\) | −17.3341 | + | 20.0047i | −0.982929 | + | 1.13436i | 0.00799972 | + | 0.999968i | \(0.497454\pi\) |
−0.990928 | + | 0.134392i | \(0.957092\pi\) | |||||||
\(312\) | 7.83258 | + | 15.1493i | 0.443432 | + | 0.857659i | ||||
\(313\) | −1.24374 | − | 2.72340i | −0.0703002 | − | 0.153936i | 0.871220 | − | 0.490893i | \(-0.163329\pi\) |
−0.941520 | + | 0.336957i | \(0.890602\pi\) | |||||||
\(314\) | −2.94081 | − | 26.2754i | −0.165960 | − | 1.48281i | ||||
\(315\) | 0.148331 | − | 0.505167i | 0.00835748 | − | 0.0284630i | ||||
\(316\) | 3.33008 | − | 3.38866i | 0.187332 | − | 0.190627i | ||||
\(317\) | −4.70433 | − | 2.14839i | −0.264221 | − | 0.120666i | 0.278900 | − | 0.960320i | \(-0.410030\pi\) |
−0.543121 | + | 0.839654i | \(0.682758\pi\) | |||||||
\(318\) | −2.06151 | + | 2.99694i | −0.115604 | + | 0.168060i | ||||
\(319\) | 3.30879 | + | 2.12643i | 0.185257 | + | 0.119057i | ||||
\(320\) | −0.762241 | + | 1.48713i | −0.0426106 | + | 0.0831329i | ||||
\(321\) | −4.95806 | −0.276732 | ||||||||
\(322\) | −9.34612 | − | 14.3136i | −0.520839 | − | 0.797664i | ||||
\(323\) | − | 27.6075i | − | 1.53612i | ||||||
\(324\) | 0.408077 | − | 1.95793i | 0.0226709 | − | 0.108774i | ||||
\(325\) | 16.1570 | − | 25.1408i | 0.896231 | − | 1.39456i | ||||
\(326\) | −2.11077 | − | 1.45194i | −0.116905 | − | 0.0804153i | ||||
\(327\) | 3.97814 | − | 8.71090i | 0.219991 | − | 0.481714i | ||||
\(328\) | 30.3512 | − | 10.5447i | 1.67586 | − | 0.582232i | ||||
\(329\) | 7.60845 | + | 2.23404i | 0.419467 | + | 0.123167i | ||||
\(330\) | −0.189796 | − | 1.69578i | −0.0104479 | − | 0.0933495i | ||||
\(331\) | −18.5154 | + | 8.45572i | −1.01770 | + | 0.464768i | −0.853186 | − | 0.521607i | \(-0.825333\pi\) |
−0.164514 | + | 0.986375i | \(0.552606\pi\) | |||||||
\(332\) | 16.9505 | − | 23.0595i | 0.930278 | − | 1.26556i | ||||
\(333\) | −1.61897 | − | 1.40285i | −0.0887192 | − | 0.0768756i | ||||
\(334\) | −5.42411 | + | 2.27449i | −0.296794 | + | 0.124455i | ||||
\(335\) | −0.750779 | + | 0.220449i | −0.0410194 | + | 0.0120444i | ||||
\(336\) | −1.60858 | − | 9.95275i | −0.0877551 | − | 0.542967i | ||||
\(337\) | −17.0822 | + | 10.9781i | −0.930527 | + | 0.598013i | −0.915694 | − | 0.401877i | \(-0.868358\pi\) |
−0.0148328 | + | 0.999890i | \(0.504722\pi\) | |||||||
\(338\) | 24.2729 | + | 22.4021i | 1.32027 | + | 1.21851i | ||||
\(339\) | 9.14108 | − | 1.31429i | 0.496475 | − | 0.0713824i | ||||
\(340\) | −0.369380 | − | 1.62948i | −0.0200324 | − | 0.0883712i | ||||
\(341\) | 1.67531 | + | 0.240873i | 0.0907230 | + | 0.0130440i | ||||
\(342\) | 8.37392 | − | 5.01796i | 0.452810 | − | 0.271340i | ||||
\(343\) | −12.6222 | − | 14.5668i | −0.681533 | − | 0.786531i | ||||
\(344\) | −15.9530 | + | 3.09417i | −0.860129 | + | 0.166827i | ||||
\(345\) | 0.380689 | − | 0.926635i | 0.0204956 | − | 0.0498883i | ||||
\(346\) | −11.0831 | + | 22.3844i | −0.595829 | + | 1.20339i | ||||
\(347\) | −6.73110 | + | 5.83253i | −0.361344 | + | 0.313107i | −0.816545 | − | 0.577282i | \(-0.804113\pi\) |
0.455200 | + | 0.890389i | \(0.349568\pi\) | |||||||
\(348\) | 0.108991 | + | 1.35747i | 0.00584254 | + | 0.0727681i | ||||
\(349\) | −12.2865 | − | 1.76653i | −0.657680 | − | 0.0945602i | −0.194609 | − | 0.980881i | \(-0.562344\pi\) |
−0.463072 | + | 0.886321i | \(0.653253\pi\) | |||||||
\(350\) | −13.7077 | + | 11.1453i | −0.732710 | + | 0.595741i | ||||
\(351\) | −0.858103 | − | 5.96824i | −0.0458022 | − | 0.318561i | ||||
\(352\) | −17.2817 | − | 27.7313i | −0.921120 | − | 1.47808i | ||||
\(353\) | 4.05166 | − | 2.60384i | 0.215648 | − | 0.138589i | −0.428358 | − | 0.903609i | \(-0.640908\pi\) |
0.644006 | + | 0.765021i | \(0.277271\pi\) | |||||||
\(354\) | 0.342473 | − | 10.9238i | 0.0182022 | − | 0.580593i | ||||
\(355\) | 0.695274 | + | 2.36789i | 0.0369013 | + | 0.125674i | ||||
\(356\) | 33.4367 | + | 2.09862i | 1.77214 | + | 0.111227i | ||||
\(357\) | 7.61817 | + | 6.60118i | 0.403196 | + | 0.349371i | ||||
\(358\) | 2.61206 | − | 14.8478i | 0.138052 | − | 0.784730i | ||||
\(359\) | −0.655620 | − | 1.43561i | −0.0346023 | − | 0.0757685i | 0.891542 | − | 0.452939i | \(-0.149624\pi\) |
−0.926144 | + | 0.377170i | \(0.876897\pi\) | |||||||
\(360\) | 0.427117 | − | 0.408217i | 0.0225111 | − | 0.0215149i | ||||
\(361\) | 27.4907 | + | 8.07198i | 1.44688 | + | 0.424841i | ||||
\(362\) | 18.5151 | + | 6.07289i | 0.973131 | + | 0.319184i | ||||
\(363\) | 20.3440 | + | 9.29078i | 1.06778 | + | 0.487640i | ||||
\(364\) | −14.7988 | − | 26.5490i | −0.775666 | − | 1.39155i | ||||
\(365\) | 1.29024 | − | 2.00765i | 0.0675343 | − | 0.105085i | ||||
\(366\) | 4.44756 | + | 17.1137i | 0.232478 | + | 0.894548i | ||||
\(367\) | 8.96669 | 0.468057 | 0.234029 | − | 0.972230i | \(-0.424809\pi\) | ||||
0.234029 | + | 0.972230i | \(0.424809\pi\) | |||||||
\(368\) | −1.07424 | − | 19.1532i | −0.0559986 | − | 0.998431i | ||||
\(369\) | −11.3599 | −0.591374 | ||||||||
\(370\) | −0.159175 | − | 0.612486i | −0.00827509 | − | 0.0318416i | ||||
\(371\) | 3.50494 | − | 5.45379i | 0.181967 | − | 0.283147i | ||||
\(372\) | 0.285329 | + | 0.511881i | 0.0147936 | + | 0.0265398i | ||||
\(373\) | 3.15179 | + | 1.43937i | 0.163193 | + | 0.0745280i | 0.495337 | − | 0.868701i | \(-0.335045\pi\) |
−0.332144 | + | 0.943229i | \(0.607772\pi\) | |||||||
\(374\) | 31.0430 | + | 10.1820i | 1.60519 | + | 0.526499i | ||||
\(375\) | −1.99551 | − | 0.585935i | −0.103048 | − | 0.0302575i | ||||
\(376\) | 6.14825 | + | 6.43292i | 0.317072 | + | 0.331752i | ||||
\(377\) | 1.70556 | + | 3.73466i | 0.0878410 | + | 0.192345i | ||||
\(378\) | −0.617590 | + | 3.51058i | −0.0317654 | + | 0.180565i | ||||
\(379\) | −5.67753 | − | 4.91961i | −0.291635 | − | 0.252703i | 0.496738 | − | 0.867900i | \(-0.334531\pi\) |
−0.788373 | + | 0.615197i | \(0.789076\pi\) | |||||||
\(380\) | 2.87822 | + | 0.180649i | 0.147650 | + | 0.00926709i | ||||
\(381\) | −2.44664 | − | 8.33249i | −0.125345 | − | 0.426886i | ||||
\(382\) | 0.653061 | − | 20.8305i | 0.0334135 | − | 1.06578i | ||||
\(383\) | −6.90273 | + | 4.43612i | −0.352713 | + | 0.226675i | −0.704984 | − | 0.709223i | \(-0.749046\pi\) |
0.352271 | + | 0.935898i | \(0.385410\pi\) | |||||||
\(384\) | 4.00866 | − | 10.5797i | 0.204566 | − | 0.539894i | ||||
\(385\) | 0.432802 | + | 3.01021i | 0.0220577 | + | 0.153414i | ||||
\(386\) | −20.8579 | + | 16.9588i | −1.06164 | + | 0.863181i | ||||
\(387\) | 5.68687 | + | 0.817649i | 0.289080 | + | 0.0415634i | ||||
\(388\) | −0.987169 | − | 12.2951i | −0.0501159 | − | 0.624188i | ||||
\(389\) | −19.8326 | + | 17.1850i | −1.00555 | + | 0.871314i | −0.991698 | − | 0.128590i | \(-0.958955\pi\) |
−0.0138524 | + | 0.999904i | \(0.504410\pi\) | |||||||
\(390\) | 0.790350 | − | 1.59627i | 0.0400210 | − | 0.0808300i | ||||
\(391\) | 13.1103 | + | 14.0001i | 0.663017 | + | 0.708013i | ||||
\(392\) | −0.348556 | − | 1.79709i | −0.0176047 | − | 0.0907669i | ||||
\(393\) | −4.10515 | − | 4.73760i | −0.207078 | − | 0.238980i | ||||
\(394\) | −25.2447 | + | 15.1275i | −1.27181 | + | 0.762113i | ||||
\(395\) | −0.491165 | − | 0.0706188i | −0.0247132 | − | 0.00355322i | ||||
\(396\) | 2.55398 | + | 11.2667i | 0.128342 | + | 0.566171i | ||||
\(397\) | −26.6381 | + | 3.82998i | −1.33693 | + | 0.192221i | −0.773422 | − | 0.633891i | \(-0.781457\pi\) |
−0.563505 | + | 0.826112i | \(0.690548\pi\) | |||||||
\(398\) | 17.1381 | + | 15.8173i | 0.859056 | + | 0.792847i | ||||
\(399\) | −14.6368 | + | 9.40650i | −0.732757 | + | 0.470914i | ||||
\(400\) | −19.5715 | + | 3.16317i | −0.978575 | + | 0.158159i | ||||
\(401\) | 8.00460 | − | 2.35036i | 0.399731 | − | 0.117372i | −0.0756872 | − | 0.997132i | \(-0.524115\pi\) |
0.475418 | + | 0.879760i | \(0.342297\pi\) | |||||||
\(402\) | 4.88540 | − | 2.04859i | 0.243662 | − | 0.102175i | ||||
\(403\) | 1.33524 | + | 1.15699i | 0.0665130 | + | 0.0576338i | ||||
\(404\) | −14.7440 | + | 20.0578i | −0.733542 | + | 0.997914i | ||||
\(405\) | −0.190010 | + | 0.0867748i | −0.00944168 | + | 0.00431187i | ||||
\(406\) | −0.269965 | − | 2.41207i | −0.0133982 | − | 0.119709i | ||||
\(407\) | 11.8727 | + | 3.48614i | 0.588508 | + | 0.172801i | ||||
\(408\) | 3.71234 | + | 10.6854i | 0.183788 | + | 0.529005i | ||||
\(409\) | −6.73387 | + | 14.7451i | −0.332968 | + | 0.729099i | −0.999871 | − | 0.0160457i | \(-0.994892\pi\) |
0.666903 | + | 0.745145i | \(0.267620\pi\) | |||||||
\(410\) | −2.76488 | − | 1.90188i | −0.136548 | − | 0.0939272i | ||||
\(411\) | −0.169243 | + | 0.263347i | −0.00834815 | + | 0.0129900i | ||||
\(412\) | −4.72872 | + | 22.6881i | −0.232967 | + | 1.11776i | ||||
\(413\) | 19.4784i | 0.958471i | ||||||||
\(414\) | −1.86357 | + | 6.52128i | −0.0915893 | + | 0.320504i | ||||
\(415\) | −2.98909 | −0.146729 | ||||||||
\(416\) | 0.474256 | − | 34.1053i | 0.0232523 | − | 1.67215i | ||||
\(417\) | −4.71191 | − | 3.02816i | −0.230743 | − | 0.148290i | ||||
\(418\) | −31.9580 | + | 46.4592i | −1.56312 | + | 2.27240i | ||||
\(419\) | −10.9304 | − | 4.99177i | −0.533987 | − | 0.243864i | 0.130124 | − | 0.991498i | \(-0.458462\pi\) |
−0.664111 | + | 0.747634i | \(0.731190\pi\) | |||||||
\(420\) | −0.738056 | + | 0.751038i | −0.0360134 | + | 0.0366469i | ||||
\(421\) | −6.74790 | + | 22.9812i | −0.328872 | + | 1.12004i | 0.614670 | + | 0.788784i | \(0.289289\pi\) |
−0.943542 | + | 0.331252i | \(0.892529\pi\) | |||||||
\(422\) | −0.447053 | − | 3.99430i | −0.0217622 | − | 0.194440i | ||||
\(423\) | −1.30694 | − | 2.86179i | −0.0635454 | − | 0.139145i | ||||
\(424\) | 6.46237 | − | 3.34122i | 0.313840 | − | 0.162264i | ||||
\(425\) | 12.9808 | − | 14.9807i | 0.629663 | − | 0.726670i | ||||
\(426\) | −6.46108 | − | 15.4081i | −0.313040 | − | 0.746525i | ||||
\(427\) | −8.87852 | − | 30.2374i | −0.429661 | − | 1.46329i | ||||
\(428\) | 8.74427 | + | 4.67623i | 0.422670 | + | 0.226034i | ||||
\(429\) | 18.8297 | + | 29.2996i | 0.909108 | + | 1.41460i | ||||
\(430\) | 1.24723 | + | 1.15110i | 0.0601467 | + | 0.0555111i | ||||
\(431\) | −1.39568 | − | 9.70715i | −0.0672274 | − | 0.467577i | −0.995429 | − | 0.0955002i | \(-0.969555\pi\) |
0.928202 | − | 0.372077i | \(-0.121354\pi\) | |||||||
\(432\) | −2.56634 | + | 3.06821i | −0.123473 | + | 0.147619i | ||||
\(433\) | −0.927383 | + | 6.45009i | −0.0445672 | + | 0.309972i | 0.955329 | + | 0.295545i | \(0.0955013\pi\) |
−0.999896 | + | 0.0144264i | \(0.995408\pi\) | |||||||
\(434\) | −0.536864 | − | 0.895913i | −0.0257703 | − | 0.0430052i | ||||
\(435\) | 0.107494 | − | 0.0931443i | 0.00515396 | − | 0.00446593i | ||||
\(436\) | −15.2318 | + | 11.6109i | −0.729470 | + | 0.556064i | ||||
\(437\) | −29.5609 | + | 14.9042i | −1.41409 | + | 0.712963i | ||||
\(438\) | −7.16919 | + | 14.4796i | −0.342557 | + | 0.691860i | ||||
\(439\) | −15.6599 | − | 18.0725i | −0.747405 | − | 0.862552i | 0.246909 | − | 0.969039i | \(-0.420585\pi\) |
−0.994314 | + | 0.106487i | \(0.966040\pi\) | |||||||
\(440\) | −1.26465 | + | 3.16976i | −0.0602900 | + | 0.151112i | ||||
\(441\) | −0.0921074 | + | 0.640621i | −0.00438607 | + | 0.0305058i | ||||
\(442\) | 21.5142 | + | 26.4606i | 1.02333 | + | 1.25860i | ||||
\(443\) | −5.03264 | + | 0.723584i | −0.239108 | + | 0.0343785i | −0.260827 | − | 0.965386i | \(-0.583995\pi\) |
0.0217190 | + | 0.999764i | \(0.493086\pi\) | |||||||
\(444\) | 1.53219 | + | 4.00108i | 0.0727145 | + | 0.189883i | ||||
\(445\) | −1.89177 | − | 2.94365i | −0.0896784 | − | 0.139542i | ||||
\(446\) | 0.395304 | − | 12.6089i | 0.0187182 | − | 0.597049i | ||||
\(447\) | 2.11717 | − | 0.621656i | 0.100139 | − | 0.0294033i | ||||
\(448\) | −6.55005 | + | 19.0703i | −0.309461 | + | 0.900986i | ||||
\(449\) | 5.35031 | − | 6.17459i | 0.252497 | − | 0.291397i | −0.615324 | − | 0.788274i | \(-0.710975\pi\) |
0.867821 | + | 0.496878i | \(0.165520\pi\) | |||||||
\(450\) | 6.90335 | + | 1.21445i | 0.325427 | + | 0.0572499i | ||||
\(451\) | 59.6880 | − | 27.2586i | 2.81060 | − | 1.28356i | ||||
\(452\) | −17.3612 | − | 6.30354i | −0.816603 | − | 0.296494i | ||||
\(453\) | −6.76675 | + | 23.0454i | −0.317930 | + | 1.08277i | ||||
\(454\) | −5.63543 | − | 1.84840i | −0.264484 | − | 0.0867499i | ||||
\(455\) | −1.31876 | + | 2.88768i | −0.0618243 | + | 0.135376i | ||||
\(456\) | −19.5014 | + | 0.951974i | −0.913236 | + | 0.0445803i | ||||
\(457\) | 19.4119 | + | 12.4753i | 0.908051 | + | 0.583569i | 0.909168 | − | 0.416430i | \(-0.136719\pi\) |
−0.00111654 | + | 0.999999i | \(0.500355\pi\) | |||||||
\(458\) | 4.29485 | − | 1.11616i | 0.200685 | − | 0.0521546i | ||||
\(459\) | − | 3.99936i | − | 0.186674i | ||||||
\(460\) | −1.54536 | + | 1.27521i | −0.0720530 | + | 0.0594568i | ||||
\(461\) | − | 18.6881i | − | 0.870391i | −0.900336 | − | 0.435195i | \(-0.856679\pi\) | ||
0.900336 | − | 0.435195i | \(-0.143321\pi\) | |||||||
\(462\) | −5.17880 | − | 19.9274i | −0.240940 | − | 0.927108i | ||||
\(463\) | 30.2126 | + | 19.4164i | 1.40410 | + | 0.902358i | 0.999924 | − | 0.0123242i | \(-0.00392302\pi\) |
0.404173 | + | 0.914683i | \(0.367559\pi\) | |||||||
\(464\) | 1.08809 | − | 2.49690i | 0.0505133 | − | 0.115916i | ||||
\(465\) | 0.0254264 | − | 0.0556761i | 0.00117912 | − | 0.00258192i | ||||
\(466\) | −2.67402 | + | 8.15259i | −0.123872 | + | 0.377661i | ||||
\(467\) | −1.04167 | + | 3.54761i | −0.0482029 | + | 0.164164i | −0.980077 | − | 0.198618i | \(-0.936355\pi\) |
0.931874 | + | 0.362782i | \(0.118173\pi\) | |||||||
\(468\) | −4.11560 | + | 11.3352i | −0.190244 | + | 0.523970i | ||||
\(469\) | −8.58830 | + | 3.92214i | −0.396571 | + | 0.181108i | ||||
\(470\) | 0.161028 | − | 0.915335i | 0.00742766 | − | 0.0422212i | ||||
\(471\) | 12.2430 | − | 14.1291i | 0.564126 | − | 0.651036i | ||||
\(472\) | −10.9069 | + | 18.9427i | −0.502029 | + | 0.871909i | ||||
\(473\) | −31.8423 | + | 9.34975i | −1.46411 | + | 0.429902i | ||||
\(474\) | 3.35785 | + | 0.105272i | 0.154231 | + | 0.00483532i | ||||
\(475\) | 18.4973 | + | 28.7824i | 0.848716 | + | 1.32063i | ||||
\(476\) | −7.20980 | − | 18.8273i | −0.330461 | − | 0.862947i | ||||
\(477\) | −2.54593 | + | 0.366049i | −0.116570 | + | 0.0167602i | ||||
\(478\) | 0.542199 | − | 0.440844i | 0.0247996 | − | 0.0201637i | ||||
\(479\) | −5.37801 | + | 37.4049i | −0.245728 | + | 1.70907i | 0.376649 | + | 0.926356i | \(0.377076\pi\) |
−0.622377 | + | 0.782718i | \(0.713833\pi\) | |||||||
\(480\) | −1.13830 | + | 0.317111i | −0.0519559 | + | 0.0144741i | ||||
\(481\) | 8.45863 | + | 9.76178i | 0.385680 | + | 0.445099i | ||||
\(482\) | −21.1075 | − | 10.4508i | −0.961418 | − | 0.476022i | ||||
\(483\) | 2.95550 | − | 11.7209i | 0.134480 | − | 0.533319i | ||||
\(484\) | −27.1169 | − | 35.5733i | −1.23259 | − | 1.61697i | ||||
\(485\) | −0.973611 | + | 0.843639i | −0.0442094 | + | 0.0383077i | ||||
\(486\) | 1.21309 | − | 0.726926i | 0.0550267 | − | 0.0329740i | ||||
\(487\) | −2.92088 | + | 20.3152i | −0.132358 | + | 0.920569i | 0.810111 | + | 0.586276i | \(0.199407\pi\) |
−0.942469 | + | 0.334293i | \(0.891503\pi\) | |||||||
\(488\) | 8.29701 | − | 34.3773i | 0.375588 | − | 1.55619i | ||||
\(489\) | −0.257811 | − | 1.79311i | −0.0116586 | − | 0.0810875i | ||||
\(490\) | −0.129671 | + | 0.140499i | −0.00585793 | + | 0.00634711i | ||||
\(491\) | 2.28446 | + | 3.55468i | 0.103096 | + | 0.160421i | 0.888969 | − | 0.457967i | \(-0.151422\pi\) |
−0.785873 | + | 0.618388i | \(0.787786\pi\) | |||||||
\(492\) | 20.0349 | + | 10.7142i | 0.903243 | + | 0.483034i | ||||
\(493\) | 0.767226 | + | 2.61293i | 0.0345541 | + | 0.117681i | ||||
\(494\) | −54.2835 | + | 22.7627i | −2.44233 | + | 1.02414i | ||||
\(495\) | 0.790144 | − | 0.911875i | 0.0355143 | − | 0.0409857i | ||||
\(496\) | −0.0204353 | − | 1.17189i | −0.000917571 | − | 0.0526193i | ||||
\(497\) | 12.3701 | + | 27.0867i | 0.554874 | + | 1.21500i | ||||
\(498\) | 20.1113 | − | 2.25091i | 0.901208 | − | 0.100866i | ||||
\(499\) | 4.17031 | − | 14.2028i | 0.186689 | − | 0.635803i | −0.811954 | − | 0.583721i | \(-0.801596\pi\) |
0.998643 | − | 0.0520817i | \(-0.0165856\pi\) | |||||||
\(500\) | 2.96675 | + | 2.91546i | 0.132677 | + | 0.130384i | ||||
\(501\) | −3.78314 | − | 1.72770i | −0.169018 | − | 0.0771881i | ||||
\(502\) | −25.9542 | − | 17.8532i | −1.15839 | − | 0.796825i | ||||
\(503\) | 11.8887 | + | 7.64042i | 0.530092 | + | 0.340669i | 0.778153 | − | 0.628075i | \(-0.216157\pi\) |
−0.248061 | + | 0.968744i | \(0.579793\pi\) | |||||||
\(504\) | 4.40024 | − | 5.60894i | 0.196002 | − | 0.249842i | ||||
\(505\) | 2.60000 | 0.115698 | ||||||||
\(506\) | −5.85641 | − | 38.7362i | −0.260349 | − | 1.72204i | ||||
\(507\) | 23.3562i | 1.03729i | ||||||||
\(508\) | −3.54385 | + | 17.0031i | −0.157233 | + | 0.754392i | ||||
\(509\) | −8.86210 | + | 13.7897i | −0.392806 | + | 0.611218i | −0.980183 | − | 0.198096i | \(-0.936524\pi\) |
0.587377 | + | 0.809314i | \(0.300161\pi\) | |||||||
\(510\) | 0.669573 | − | 0.973398i | 0.0296492 | − | 0.0431028i | ||||
\(511\) | 11.9623 | − | 26.1938i | 0.529182 | − | 1.15875i | ||||
\(512\) | −17.0482 | + | 14.8781i | −0.753432 | + | 0.657526i | ||||
\(513\) | 6.62337 | + | 1.94480i | 0.292429 | + | 0.0858649i | ||||
\(514\) | −23.2400 | + | 2.60108i | −1.02507 | + | 0.114729i | ||||
\(515\) | 2.20180 | − | 1.00553i | 0.0970231 | − | 0.0443090i | ||||
\(516\) | −9.25847 | − | 6.80567i | −0.407581 | − | 0.299603i | ||||
\(517\) | 13.7340 | + | 11.9006i | 0.604019 | + | 0.523386i | ||||
\(518\) | −2.95285 | − | 7.04183i | −0.129741 | − | 0.309400i | ||||
\(519\) | −16.9466 | + | 4.97597i | −0.743872 | + | 0.218421i | ||||
\(520\) | −2.89943 | + | 2.06982i | −0.127148 | + | 0.0907677i | ||||
\(521\) | 3.96667 | − | 2.54922i | 0.173783 | − | 0.111683i | −0.450858 | − | 0.892596i | \(-0.648882\pi\) |
0.624641 | + | 0.780912i | \(0.285245\pi\) | |||||||
\(522\) | −0.653104 | + | 0.707644i | −0.0285856 | + | 0.0309727i | ||||
\(523\) | 23.8003 | − | 3.42197i | 1.04071 | − | 0.149632i | 0.399295 | − | 0.916823i | \(-0.369255\pi\) |
0.641419 | + | 0.767191i | \(0.278346\pi\) | |||||||
\(524\) | 2.77174 | + | 12.2273i | 0.121084 | + | 0.534151i | ||||
\(525\) | −12.3652 | − | 1.77785i | −0.539663 | − | 0.0775919i | ||||
\(526\) | −5.93775 | − | 9.90887i | −0.258898 | − | 0.432047i | ||||
\(527\) | 0.767416 | + | 0.885646i | 0.0334292 | + | 0.0385793i | ||||
\(528\) | 6.12192 | − | 22.2792i | 0.266422 | − | 0.969578i | ||||
\(529\) | 7.91290 | − | 21.5960i | 0.344039 | − | 0.938955i | ||||
\(530\) | −0.680933 | − | 0.337147i | −0.0295779 | − | 0.0146447i | ||||
\(531\) | 5.84049 | − | 5.06082i | 0.253456 | − | 0.219621i | ||||
\(532\) | 34.6860 | − | 2.78493i | 1.50383 | − | 0.120742i | ||||
\(533\) | 67.7988 | + | 9.74799i | 2.93669 | + | 0.422232i | ||||
\(534\) | 14.9449 | + | 18.3809i | 0.646730 | + | 0.795421i | ||||
\(535\) | −0.147392 | − | 1.02513i | −0.00637230 | − | 0.0443203i | ||||
\(536\) | −10.5483 | − | 0.994710i | −0.455616 | − | 0.0429649i | ||||
\(537\) | 8.96792 | − | 5.76333i | 0.386994 | − | 0.248706i | ||||
\(538\) | −21.4939 | − | 0.673857i | −0.926666 | − | 0.0290520i | ||||
\(539\) | −1.05324 | − | 3.58701i | −0.0453663 | − | 0.154503i | ||||
\(540\) | 0.416953 | + | 0.0261697i | 0.0179428 | + | 0.00112616i | ||||
\(541\) | −14.6834 | − | 12.7232i | −0.631288 | − | 0.547014i | 0.279366 | − | 0.960185i | \(-0.409876\pi\) |
−0.910654 | + | 0.413171i | \(0.864421\pi\) | |||||||
\(542\) | 25.5756 | + | 4.49931i | 1.09856 | + | 0.193262i | ||||
\(543\) | 5.72375 | + | 12.5333i | 0.245630 | + | 0.537854i | ||||
\(544\) | 3.53075 | − | 22.3466i | 0.151380 | − | 0.958101i | ||||
\(545\) | 1.91933 | + | 0.563567i | 0.0822152 | + | 0.0241406i | ||||
\(546\) | 6.69836 | − | 20.4220i | 0.286663 | − | 0.873982i | ||||
\(547\) | 0.996632 | + | 0.455147i | 0.0426129 | + | 0.0194607i | 0.436607 | − | 0.899652i | \(-0.356180\pi\) |
−0.393995 | + | 0.919113i | \(0.628907\pi\) | |||||||
\(548\) | 0.546864 | − | 0.304829i | 0.0233609 | − | 0.0130216i | ||||
\(549\) | −6.75974 | + | 10.5184i | −0.288499 | + | 0.448913i | ||||
\(550\) | −39.1861 | + | 10.1838i | −1.67090 | + | 0.434239i | ||||
\(551\) | −4.70038 | −0.200243 | ||||||||
\(552\) | 9.43728 | − | 9.74360i | 0.401677 | − | 0.414715i | ||||
\(553\) | −5.98744 | −0.254612 | ||||||||
\(554\) | 22.7321 | − | 5.90770i | 0.965796 | − | 0.250994i | ||||
\(555\) | 0.241926 | − | 0.376443i | 0.0102692 | − | 0.0159791i | ||||
\(556\) | 5.45411 | + | 9.78468i | 0.231306 | + | 0.414963i | ||||
\(557\) | −3.16457 | − | 1.44521i | −0.134087 | − | 0.0612356i | 0.347242 | − | 0.937776i | \(-0.387118\pi\) |
−0.481329 | + | 0.876540i | \(0.659846\pi\) | |||||||
\(558\) | −0.129148 | + | 0.393748i | −0.00546728 | + | 0.0166687i | ||||
\(559\) | −33.2390 | − | 9.75985i | −1.40586 | − | 0.412798i | ||||
\(560\) | 2.01002 | − | 0.628463i | 0.0849387 | − | 0.0265574i | ||||
\(561\) | 9.59662 | + | 21.0137i | 0.405170 | + | 0.887198i | ||||
\(562\) | 20.1149 | + | 3.53866i | 0.848496 | + | 0.149270i | ||||
\(563\) | −16.2854 | − | 14.1113i | −0.686346 | − | 0.594722i | 0.240281 | − | 0.970703i | \(-0.422760\pi\) |
−0.926627 | + | 0.375981i | \(0.877306\pi\) | |||||||
\(564\) | −0.394148 | + | 6.27984i | −0.0165966 | + | 0.264429i | ||||
\(565\) | 0.543487 | + | 1.85095i | 0.0228647 | + | 0.0778699i | ||||
\(566\) | 8.20154 | + | 0.257127i | 0.344736 | + | 0.0108079i | ||||
\(567\) | −2.12036 | + | 1.36267i | −0.0890467 | + | 0.0572268i | ||||
\(568\) | −3.13722 | + | 33.2683i | −0.131635 | + | 1.39591i | ||||
\(569\) | −0.432272 | − | 3.00652i | −0.0181218 | − | 0.126040i | 0.978752 | − | 0.205046i | \(-0.0657344\pi\) |
−0.996874 | + | 0.0790062i | \(0.974825\pi\) | |||||||
\(570\) | 1.28645 | + | 1.58223i | 0.0538836 | + | 0.0662721i | ||||
\(571\) | −10.0516 | − | 1.44520i | −0.420645 | − | 0.0604796i | −0.0712576 | − | 0.997458i | \(-0.522701\pi\) |
−0.349388 | + | 0.936978i | \(0.613610\pi\) | |||||||
\(572\) | −5.57481 | − | 69.4337i | −0.233095 | − | 2.90317i | ||||
\(573\) | 11.1372 | − | 9.65046i | 0.465264 | − | 0.403154i | ||||
\(574\) | −36.2879 | − | 17.9671i | −1.51463 | − | 0.749931i | ||||
\(575\) | −23.0484 | − | 5.81182i | −0.961187 | − | 0.242370i | ||||
\(576\) | 7.41992 | − | 2.99078i | 0.309163 | − | 0.124616i | ||||
\(577\) | −0.302321 | − | 0.348897i | −0.0125858 | − | 0.0145248i | 0.749422 | − | 0.662093i | \(-0.230332\pi\) |
−0.762008 | + | 0.647568i | \(0.775786\pi\) | |||||||
\(578\) | −0.730664 | − | 1.21932i | −0.0303916 | − | 0.0507172i | ||||
\(579\) | −18.8151 | − | 2.70520i | −0.781928 | − | 0.112424i | ||||
\(580\) | −0.277432 | + | 0.0628896i | −0.0115197 | + | 0.00261135i | ||||
\(581\) | −35.6999 | + | 5.13287i | −1.48108 | + | 0.212947i | ||||
\(582\) | 5.91538 | − | 6.40936i | 0.245200 | − | 0.265677i | ||||
\(583\) | 12.4986 | − | 8.03237i | 0.517640 | − | 0.332667i | ||||
\(584\) | 26.3004 | − | 18.7752i | 1.08832 | − | 0.776922i | ||||
\(585\) | 1.20849 | − | 0.354844i | 0.0499648 | − | 0.0146710i | ||||
\(586\) | 2.30441 | + | 5.49545i | 0.0951941 | + | 0.227015i | ||||
\(587\) | 29.9501 | + | 25.9519i | 1.23617 | + | 1.07115i | 0.994918 | + | 0.100689i | \(0.0321047\pi\) |
0.241256 | + | 0.970462i | \(0.422441\pi\) | |||||||
\(588\) | 0.766652 | − | 1.04296i | 0.0316162 | − | 0.0430109i | ||||
\(589\) | −1.83990 | + | 0.840255i | −0.0758118 | + | 0.0346221i | ||||
\(590\) | 2.26879 | − | 0.253929i | 0.0934047 | − | 0.0104541i | ||||
\(591\) | −19.9673 | − | 5.86293i | −0.821345 | − | 0.241169i | ||||
\(592\) | 1.07141 | − | 8.50159i | 0.0440346 | − | 0.349413i | ||||
\(593\) | −5.40534 | + | 11.8360i | −0.221971 | + | 0.486048i | −0.987552 | − | 0.157291i | \(-0.949724\pi\) |
0.765582 | + | 0.643339i | \(0.222451\pi\) | |||||||
\(594\) | −4.62959 | + | 6.73031i | −0.189954 | + | 0.276148i | ||||
\(595\) | −1.13839 | + | 1.77138i | −0.0466696 | + | 0.0726193i | ||||
\(596\) | −4.32026 | − | 0.900441i | −0.176965 | − | 0.0368835i | ||||
\(597\) | 16.4909i | 0.674928i | ||||||||
\(598\) | 16.7181 | − | 37.3214i | 0.683656 | − | 1.52619i | ||||
\(599\) | 18.0460 | 0.737340 | 0.368670 | − | 0.929560i | \(-0.379813\pi\) | ||||
0.368670 | + | 0.929560i | \(0.379813\pi\) | |||||||
\(600\) | −11.0297 | − | 8.65282i | −0.450284 | − | 0.353250i | ||||
\(601\) | −0.411046 | − | 0.264163i | −0.0167669 | − | 0.0107754i | 0.532231 | − | 0.846599i | \(-0.321354\pi\) |
−0.548997 | + | 0.835824i | \(0.684990\pi\) | |||||||
\(602\) | 16.8728 | + | 11.6063i | 0.687685 | + | 0.473039i | ||||
\(603\) | 3.40741 | + | 1.55611i | 0.138761 | + | 0.0633698i | ||||
\(604\) | 33.6696 | − | 34.2619i | 1.37000 | − | 1.39410i | ||||
\(605\) | −1.31619 | + | 4.48253i | −0.0535107 | + | 0.182241i | ||||
\(606\) | −17.4934 | + | 1.95790i | −0.710619 | + | 0.0795344i | ||||
\(607\) | 3.73915 | + | 8.18759i | 0.151767 | + | 0.332324i | 0.970211 | − | 0.242263i | \(-0.0778898\pi\) |
−0.818443 | + | 0.574587i | \(0.805163\pi\) | |||||||
\(608\) | 35.2914 | + | 16.7139i | 1.43126 | + | 0.677840i | ||||
\(609\) | 1.12390 | − | 1.29705i | 0.0455427 | − | 0.0525591i | ||||
\(610\) | −3.40623 | + | 1.42833i | −0.137914 | + | 0.0578315i | ||||
\(611\) | 5.34440 | + | 18.2013i | 0.216211 | + | 0.736347i | ||||
\(612\) | −3.77203 | + | 7.05346i | −0.152475 | + | 0.285119i | ||||
\(613\) | −15.1375 | − | 23.5543i | −0.611396 | − | 0.951351i | −0.999557 | − | 0.0297591i | \(-0.990526\pi\) |
0.388161 | − | 0.921592i | \(-0.373110\pi\) | |||||||
\(614\) | −28.3537 | + | 30.7214i | −1.14426 | + | 1.23982i | ||||
\(615\) | −0.337705 | − | 2.34879i | −0.0136176 | − | 0.0947122i | ||||
\(616\) | −9.66115 | + | 40.0294i | −0.389259 | + | 1.61283i | ||||
\(617\) | 6.03774 | − | 41.9934i | 0.243070 | − | 1.69059i | −0.393462 | − | 0.919341i | \(-0.628723\pi\) |
0.636532 | − | 0.771250i | \(-0.280368\pi\) | |||||||
\(618\) | −14.0570 | + | 8.42348i | −0.565457 | + | 0.338842i | ||||
\(619\) | −13.1961 | + | 11.4345i | −0.530395 | + | 0.459590i | −0.878416 | − | 0.477897i | \(-0.841399\pi\) |
0.348021 | + | 0.937487i | \(0.386854\pi\) | |||||||
\(620\) | −0.0973546 | + | 0.0742119i | −0.00390986 | + | 0.00298042i | ||||
\(621\) | −4.28233 | + | 2.15909i | −0.171844 | + | 0.0866413i | ||||
\(622\) | 33.5473 | + | 16.6101i | 1.34512 | + | 0.666004i | ||||
\(623\) | −27.6490 | − | 31.9086i | −1.10773 | − | 1.27839i | ||||
\(624\) | 17.9494 | − | 16.1096i | 0.718549 | − | 0.644901i | ||||
\(625\) | −3.46500 | + | 24.0996i | −0.138600 | + | 0.963983i | ||||
\(626\) | −3.28524 | + | 2.67111i | −0.131304 | + | 0.106759i | ||||
\(627\) | −39.4675 | + | 5.67457i | −1.57618 | + | 0.226621i | ||||
\(628\) | −34.9183 | + | 13.3718i | −1.39339 | + | 0.533591i | ||||
\(629\) | 4.63192 | + | 7.20740i | 0.184687 | + | 0.287378i | ||||
\(630\) | −0.744209 | − | 0.0233318i | −0.0296500 | − | 0.000929562i | ||||
\(631\) | 38.7533 | − | 11.3790i | 1.54274 | − | 0.452991i | 0.603822 | − | 0.797119i | \(-0.293644\pi\) |
0.938922 | + | 0.344129i | \(0.111826\pi\) | |||||||
\(632\) | −5.82277 | − | 3.35264i | −0.231617 | − | 0.133361i | ||||
\(633\) | 1.86114 | − | 2.14787i | 0.0739735 | − | 0.0853700i | ||||
\(634\) | −1.26721 | + | 7.20324i | −0.0503274 | + | 0.286077i | ||||
\(635\) | 1.65010 | − | 0.753575i | 0.0654821 | − | 0.0299047i | ||||
\(636\) | 4.83536 | + | 1.75563i | 0.191734 | + | 0.0696153i | ||||
\(637\) | 1.09944 | − | 3.74434i | 0.0435613 | − | 0.148356i | ||||
\(638\) | 1.73356 | − | 5.28530i | 0.0686323 | − | 0.209247i | ||||
\(639\) | 4.90784 | − | 10.7467i | 0.194151 | − | 0.425131i | ||||
\(640\) | 2.30664 | + | 0.514323i | 0.0911780 | + | 0.0203304i | ||||
\(641\) | 20.6635 | + | 13.2796i | 0.816158 | + | 0.524513i | 0.880852 | − | 0.473392i | \(-0.156971\pi\) |
−0.0646939 | + | 0.997905i | \(0.520607\pi\) | |||||||
\(642\) | 1.76365 | + | 6.78633i | 0.0696057 | + | 0.267835i | ||||
\(643\) | 11.8132i | 0.465866i | 0.972493 | + | 0.232933i | \(0.0748323\pi\) | ||||
−0.972493 | + | 0.232933i | \(0.925168\pi\) | |||||||
\(644\) | −16.2671 | + | 17.8840i | −0.641014 | + | 0.704729i | ||||
\(645\) | 1.20013i | 0.0472550i | ||||||||
\(646\) | −37.7877 | + | 9.82038i | −1.48674 | + | 0.386378i | ||||
\(647\) | −15.6174 | − | 10.0367i | −0.613985 | − | 0.394584i | 0.196364 | − | 0.980531i | \(-0.437086\pi\) |
−0.810350 | + | 0.585947i | \(0.800723\pi\) | |||||||
\(648\) | −2.82506 | + | 0.137908i | −0.110979 | + | 0.00541752i | ||||
\(649\) | −18.5438 | + | 40.6054i | −0.727910 | + | 1.59390i | ||||
\(650\) | −40.1587 | − | 13.1719i | −1.57515 | − | 0.516646i | ||||
\(651\) | 0.208071 | − | 0.708624i | 0.00815494 | − | 0.0277732i | ||||
\(652\) | −1.23650 | + | 3.40558i | −0.0484252 | + | 0.133373i | ||||
\(653\) | 9.25563 | − | 4.22690i | 0.362201 | − | 0.165411i | −0.225998 | − | 0.974128i | \(-0.572564\pi\) |
0.588199 | + | 0.808716i | \(0.299837\pi\) | |||||||
\(654\) | −13.3381 | − | 2.34647i | −0.521561 | − | 0.0917543i | ||||
\(655\) | 0.857513 | − | 0.989622i | 0.0335058 | − | 0.0386677i | ||||
\(656\) | −25.2293 | − | 37.7922i | −0.985039 | − | 1.47554i | ||||
\(657\) | −10.9621 | + | 3.21876i | −0.427671 | + | 0.125576i | ||||
\(658\) | 0.351406 | − | 11.2087i | 0.0136992 | − | 0.436961i | ||||
\(659\) | −0.122174 | − | 0.190106i | −0.00475921 | − | 0.00740547i | 0.838866 | − | 0.544338i | \(-0.183219\pi\) |
−0.843625 | + | 0.536933i | \(0.819583\pi\) | |||||||
\(660\) | −2.25358 | + | 0.862994i | −0.0877204 | + | 0.0335920i | ||||
\(661\) | −14.2576 | + | 2.04994i | −0.554558 | + | 0.0797334i | −0.413896 | − | 0.910324i | \(-0.635832\pi\) |
−0.140662 | + | 0.990058i | \(0.544923\pi\) | |||||||
\(662\) | 18.1599 | + | 22.3351i | 0.705806 | + | 0.868079i | ||||
\(663\) | −3.43186 | + | 23.8691i | −0.133282 | + | 0.927000i | ||||
\(664\) | −37.5922 | − | 14.9983i | −1.45886 | − | 0.582047i | ||||
\(665\) | −2.38001 | − | 2.74668i | −0.0922930 | − | 0.106512i | ||||
\(666\) | −1.34425 | + | 2.71498i | −0.0520887 | + | 0.105203i | ||||
\(667\) | 2.38361 | − | 2.23213i | 0.0922939 | − | 0.0864283i | ||||
\(668\) | 5.04263 | + | 6.61516i | 0.195105 | + | 0.255948i | ||||
\(669\) | 6.74146 | − | 5.84150i | 0.260640 | − | 0.225846i | ||||
\(670\) | 0.568801 | + | 0.949209i | 0.0219747 | + | 0.0366712i | ||||
\(671\) | 10.2782 | − | 71.4865i | 0.396786 | − | 2.75970i | ||||
\(672\) | −13.0506 | + | 5.74207i | −0.503438 | + | 0.221505i | ||||
\(673\) | −1.01054 | − | 7.02849i | −0.0389536 | − | 0.270928i | 0.961031 | − | 0.276440i | \(-0.0891547\pi\) |
−0.999985 | + | 0.00551154i | \(0.998246\pi\) | |||||||
\(674\) | 21.1026 | + | 19.4762i | 0.812840 | + | 0.750193i | ||||
\(675\) | 2.67961 | + | 4.16956i | 0.103138 | + | 0.160486i | ||||
\(676\) | 22.0286 | − | 41.1921i | 0.847254 | − | 1.58431i | ||||
\(677\) | 6.29145 | + | 21.4267i | 0.241800 | + | 0.823495i | 0.987555 | + | 0.157275i | \(0.0502708\pi\) |
−0.745755 | + | 0.666220i | \(0.767911\pi\) | |||||||
\(678\) | −5.05054 | − | 12.0443i | −0.193965 | − | 0.462559i | ||||
\(679\) | −10.1795 | + | 11.7478i | −0.390654 | + | 0.450839i | ||||
\(680\) | −2.09896 | + | 1.08522i | −0.0804914 | + | 0.0416162i | ||||
\(681\) | −1.74214 | − | 3.81475i | −0.0667588 | − | 0.146181i | ||||
\(682\) | −0.266236 | − | 2.37875i | −0.0101947 | − | 0.0910872i | ||||
\(683\) | −3.42492 | + | 11.6642i | −0.131051 | + | 0.446318i | −0.998706 | − | 0.0508475i | \(-0.983808\pi\) |
0.867656 | + | 0.497166i | \(0.165626\pi\) | |||||||
\(684\) | −9.84703 | − | 9.67682i | −0.376511 | − | 0.370002i | ||||
\(685\) | −0.0594811 | − | 0.0271641i | −0.00227266 | − | 0.00103789i | ||||
\(686\) | −15.4483 | + | 22.4582i | −0.589820 | + | 0.857457i | ||||
\(687\) | 2.63968 | + | 1.69642i | 0.100710 | + | 0.0647225i | ||||
\(688\) | 9.90985 | + | 20.7350i | 0.377810 | + | 0.790515i | ||||
\(689\) | 15.5088 | 0.590839 | ||||||||
\(690\) | −1.40374 | − | 0.191450i | −0.0534396 | − | 0.00728837i | ||||
\(691\) | − | 11.4682i | − | 0.436270i | −0.975919 | − | 0.218135i | \(-0.930003\pi\) | ||
0.975919 | − | 0.218135i | \(-0.0699974\pi\) | |||||||
\(692\) | 34.5809 | + | 7.20746i | 1.31457 | + | 0.273987i | ||||
\(693\) | 7.87113 | − | 12.2477i | 0.299000 | − | 0.465252i | ||||
\(694\) | 10.3776 | + | 7.13846i | 0.393929 | + | 0.270972i | ||||
\(695\) | 0.486030 | − | 1.06426i | 0.0184362 | − | 0.0403696i | ||||
\(696\) | 1.81927 | − | 0.632053i | 0.0689591 | − | 0.0239579i | ||||
\(697\) | 43.5921 | + | 12.7998i | 1.65117 | + | 0.484827i | ||||
\(698\) | 1.95254 | + | 17.4455i | 0.0739048 | + | 0.660321i | ||||
\(699\) | −5.51867 | + | 2.52029i | −0.208735 | + | 0.0953262i | ||||
\(700\) | 20.1311 | + | 14.7979i | 0.760885 | + | 0.559307i | ||||
\(701\) | 9.31667 | + | 8.07294i | 0.351886 | + | 0.304911i | 0.812810 | − | 0.582529i | \(-0.197937\pi\) |
−0.460924 | + | 0.887439i | \(0.652482\pi\) | |||||||
\(702\) | −7.86377 | + | 3.29751i | −0.296799 | + | 0.124457i | ||||
\(703\) | −14.1886 | + | 4.16616i | −0.535134 | + | 0.157130i | ||||
\(704\) | −31.8097 | + | 33.5187i | −1.19887 | + | 1.26328i | ||||
\(705\) | 0.552854 | − | 0.355298i | 0.0208217 | − | 0.0133813i | ||||
\(706\) | −5.00523 | − | 4.61947i | −0.188374 | − | 0.173856i | ||||
\(707\) | 31.0528 | − | 4.46472i | 1.16786 | − | 0.167913i | ||||
\(708\) | −15.0737 | + | 3.41699i | −0.566505 | + | 0.128418i | ||||
\(709\) | 14.9934 | + | 2.15572i | 0.563088 | + | 0.0809598i | 0.417980 | − | 0.908456i | \(-0.362738\pi\) |
0.145108 | + | 0.989416i | \(0.453647\pi\) | |||||||
\(710\) | 2.99372 | − | 1.79394i | 0.112352 | − | 0.0673255i | ||||
\(711\) | 1.55564 | + | 1.79530i | 0.0583409 | + | 0.0673290i | ||||
\(712\) | −9.02143 | − | 46.5129i | −0.338093 | − | 1.74315i | ||||
\(713\) | 0.534012 | − | 1.29984i | 0.0199989 | − | 0.0486793i | ||||
\(714\) | 6.32545 | − | 12.7755i | 0.236724 | − | 0.478110i | ||||
\(715\) | −5.49825 | + | 4.76426i | −0.205623 | + | 0.178173i | ||||
\(716\) | −21.2520 | + | 1.70632i | −0.794224 | + | 0.0637681i | ||||
\(717\) | 0.489097 | + | 0.0703216i | 0.0182657 | + | 0.00262621i | ||||
\(718\) | −1.73177 | + | 1.40804i | −0.0646291 | + | 0.0525477i | ||||
\(719\) | 3.62904 | + | 25.2405i | 0.135340 | + | 0.941313i | 0.938434 | + | 0.345460i | \(0.112277\pi\) |
−0.803093 | + | 0.595853i | \(0.796814\pi\) | |||||||
\(720\) | −0.710677 | − | 0.439407i | −0.0264854 | − | 0.0163757i | ||||
\(721\) | 24.5703 | − | 15.7904i | 0.915047 | − | 0.588065i | ||||
\(722\) | 1.26969 | − | 40.4991i | 0.0472530 | − | 1.50722i | ||||
\(723\) | −4.69211 | − | 15.9799i | −0.174502 | − | 0.594298i | ||||
\(724\) | 1.72618 | − | 27.5027i | 0.0641528 | − | 1.02213i | ||||
\(725\) | −2.55057 | − | 2.21008i | −0.0947259 | − | 0.0820804i | ||||
\(726\) | 5.48009 | − | 31.1506i | 0.203385 | − | 1.15611i | ||||
\(727\) | 10.8370 | + | 23.7298i | 0.401924 | + | 0.880090i | 0.997072 | + | 0.0764737i | \(0.0243661\pi\) |
−0.595148 | + | 0.803616i | \(0.702907\pi\) | |||||||
\(728\) | −31.0747 | + | 29.6996i | −1.15171 | + | 1.10074i | ||||
\(729\) | 0.959493 | + | 0.281733i | 0.0355368 | + | 0.0104345i | ||||
\(730\) | −3.20693 | − | 1.05186i | −0.118694 | − | 0.0389312i | ||||
\(731\) | −20.9013 | − | 9.54529i | −0.773061 | − | 0.353045i | ||||
\(732\) | 21.8423 | − | 12.1752i | 0.807314 | − | 0.450007i | ||||
\(733\) | 25.5647 | − | 39.7795i | 0.944255 | − | 1.46929i | 0.0622441 | − | 0.998061i | \(-0.480174\pi\) |
0.882011 | − | 0.471229i | \(-0.156189\pi\) | |||||||
\(734\) | −3.18958 | − | 12.2731i | −0.117729 | − | 0.453009i | ||||
\(735\) | −0.135193 | −0.00498669 | ||||||||
\(736\) | −25.8338 | + | 8.28343i | −0.952246 | + | 0.305331i | ||||
\(737\) | −21.6374 | −0.797024 | ||||||||
\(738\) | 4.04089 | + | 15.5489i | 0.148747 | + | 0.572362i | ||||
\(739\) | −3.49616 | + | 5.44013i | −0.128608 | + | 0.200119i | −0.899586 | − | 0.436744i | \(-0.856132\pi\) |
0.770978 | + | 0.636862i | \(0.219768\pi\) | |||||||
\(740\) | −0.781717 | + | 0.435739i | −0.0287365 | + | 0.0160181i | ||||
\(741\) | −37.8610 | − | 17.2905i | −1.39086 | − | 0.635184i | ||||
\(742\) | −8.71161 | − | 2.85738i | −0.319813 | − | 0.104898i | ||||
\(743\) | 21.9447 | + | 6.44355i | 0.805074 | + | 0.236391i | 0.658277 | − | 0.752776i | \(-0.271286\pi\) |
0.146797 | + | 0.989167i | \(0.453104\pi\) | |||||||
\(744\) | 0.599139 | − | 0.572626i | 0.0219655 | − | 0.0209935i | ||||
\(745\) | 0.191473 | + | 0.419267i | 0.00701501 | + | 0.0153607i | ||||
\(746\) | 0.849003 | − | 4.82601i | 0.0310842 | − | 0.176693i | ||||
\(747\) | 10.8145 | + | 9.37080i | 0.395681 | + | 0.342860i | ||||
\(748\) | 2.89416 | − | 46.1118i | 0.105821 | − | 1.68602i | ||||
\(749\) | −3.52072 | − | 11.9905i | −0.128644 | − | 0.438122i | ||||
\(750\) | −0.0921652 | + | 2.93977i | −0.00336540 | + | 0.107345i | ||||
\(751\) | 32.9771 | − | 21.1931i | 1.20335 | − | 0.773346i | 0.223818 | − | 0.974631i | \(-0.428148\pi\) |
0.979533 | + | 0.201285i | \(0.0645116\pi\) | |||||||
\(752\) | 6.61802 | − | 10.7037i | 0.241334 | − | 0.390323i | ||||
\(753\) | −3.17007 | − | 22.0483i | −0.115524 | − | 0.803485i | ||||
\(754\) | 4.50511 | − | 3.66296i | 0.164067 | − | 0.133397i | ||||
\(755\) | −4.96605 | − | 0.714010i | −0.180733 | − | 0.0259855i | ||||
\(756\) | 5.02478 | − | 0.403438i | 0.182749 | − | 0.0146729i | ||||
\(757\) | 20.6418 | − | 17.8862i | 0.750240 | − | 0.650087i | −0.193378 | − | 0.981124i | \(-0.561944\pi\) |
0.943617 | + | 0.331038i | \(0.107399\pi\) | |||||||
\(758\) | −4.71412 | + | 9.52107i | −0.171225 | + | 0.345821i | ||||
\(759\) | 17.3196 | − | 21.6200i | 0.628663 | − | 0.784758i | ||||
\(760\) | −0.776562 | − | 4.00382i | −0.0281689 | − | 0.145234i | ||||
\(761\) | −11.6373 | − | 13.4302i | −0.421852 | − | 0.486844i | 0.504548 | − | 0.863384i | \(-0.331659\pi\) |
−0.926400 | + | 0.376540i | \(0.877114\pi\) | |||||||
\(762\) | −10.5348 | + | 6.31281i | −0.381634 | + | 0.228689i | ||||
\(763\) | 23.8911 | + | 3.43503i | 0.864917 | + | 0.124356i | ||||
\(764\) | −28.7440 | + | 6.51584i | −1.03992 | + | 0.235735i | ||||
\(765\) | 0.826910 | − | 0.118892i | 0.0298970 | − | 0.00429854i | ||||
\(766\) | 8.52732 | + | 7.87010i | 0.308105 | + | 0.284358i | ||||
\(767\) | −39.2002 | + | 25.1924i | −1.41544 | + | 0.909646i | ||||
\(768\) | −15.9069 | − | 1.72349i | −0.573991 | − | 0.0621910i | ||||
\(769\) | −3.69461 | + | 1.08484i | −0.133231 | + | 0.0391202i | −0.347668 | − | 0.937618i | \(-0.613026\pi\) |
0.214437 | + | 0.976738i | \(0.431208\pi\) | |||||||
\(770\) | 3.96626 | − | 1.66317i | 0.142934 | − | 0.0599365i | ||||
\(771\) | −12.4969 | − | 10.8286i | −0.450064 | − | 0.389983i | ||||
\(772\) | 30.6317 | + | 22.5166i | 1.10246 | + | 0.810391i | ||||
\(773\) | −35.4864 | + | 16.2061i | −1.27636 | + | 0.582894i | −0.934200 | − | 0.356749i | \(-0.883885\pi\) |
−0.342158 | + | 0.939642i | \(0.611158\pi\) | |||||||
\(774\) | −0.903746 | − | 8.07474i | −0.0324845 | − | 0.290241i | ||||
\(775\) | −1.39347 | − | 0.409159i | −0.0500549 | − | 0.0146974i | ||||
\(776\) | −16.4777 | + | 5.72471i | −0.591515 | + | 0.205505i | ||||
\(777\) | 2.24298 | − | 4.91145i | 0.0804666 | − | 0.176197i | ||||
\(778\) | 30.5766 | + | 21.0328i | 1.09623 | + | 0.754062i | ||||
\(779\) | −42.3957 | + | 65.9690i | −1.51898 | + | 2.36358i | ||||
\(780\) | −2.46602 | − | 0.513976i | −0.0882977 | − | 0.0184033i | ||||
\(781\) | 68.2423i | 2.44190i | ||||||||
\(782\) | 14.4990 | − | 22.9247i | 0.518484 | − | 0.819786i | ||||
\(783\) | −0.680920 | −0.0243341 | ||||||||
\(784\) | −2.33578 | + | 1.11634i | −0.0834207 | + | 0.0398691i | ||||
\(785\) | 3.28531 | + | 2.11134i | 0.117258 | + | 0.0753569i | ||||
\(786\) | −5.02431 | + | 7.30415i | −0.179211 | + | 0.260530i | ||||
\(787\) | −9.90130 | − | 4.52177i | −0.352943 | − | 0.161184i | 0.231051 | − | 0.972942i | \(-0.425784\pi\) |
−0.583994 | + | 0.811758i | \(0.698511\pi\) | |||||||
\(788\) | 29.6856 | + | 29.1725i | 1.05751 | + | 1.03923i | ||||
\(789\) | 2.30128 | − | 7.83744i | 0.0819277 | − | 0.279020i | ||||
\(790\) | 0.0780549 | + | 0.697400i | 0.00277707 | + | 0.0248124i | ||||
\(791\) | 9.66952 | + | 21.1733i | 0.343809 | + | 0.752836i | ||||
\(792\) | 14.5127 | − | 7.50346i | 0.515687 | − | 0.266624i | ||||
\(793\) | 49.3696 | − | 56.9755i | 1.75316 | − | 2.02326i | ||||
\(794\) | 14.7178 | + | 35.0984i | 0.522316 | + | 1.24560i | ||||
\(795\) | −0.151369 | − | 0.515516i | −0.00536851 | − | 0.0182835i | ||||
\(796\) | 15.5535 | − | 29.0842i | 0.551281 | − | 1.03086i | ||||
\(797\) | 4.64398 | + | 7.22618i | 0.164498 | + | 0.255964i | 0.913711 | − | 0.406366i | \(-0.133204\pi\) |
−0.749212 | + | 0.662330i | \(0.769568\pi\) | |||||||
\(798\) | 18.0816 | + | 16.6881i | 0.640083 | + | 0.590751i | ||||
\(799\) | 1.79066 | + | 12.4543i | 0.0633489 | + | 0.440601i | ||||
\(800\) | 11.2914 | + | 25.6632i | 0.399213 | + | 0.907332i | ||||
\(801\) | −2.38395 | + | 16.5808i | −0.0842329 | + | 0.585853i | ||||
\(802\) | −6.06440 | − | 10.1202i | −0.214141 | − | 0.357357i | ||||
\(803\) | 49.8741 | − | 43.2161i | 1.76002 | − | 1.52506i | ||||
\(804\) | −4.54181 | − | 5.95816i | −0.160177 | − | 0.210128i | ||||
\(805\) | 2.51128 | + | 0.262647i | 0.0885110 | + | 0.00925708i | ||||
\(806\) | 1.10866 | − | 2.23916i | 0.0390511 | − | 0.0788711i | ||||
\(807\) | −9.95776 | − | 11.4919i | −0.350530 | − | 0.404533i | ||||
\(808\) | 32.6987 | + | 13.0460i | 1.15034 | + | 0.458955i | ||||
\(809\) | 0.995509 | − | 6.92392i | 0.0350002 | − | 0.243432i | −0.964809 | − | 0.262951i | \(-0.915304\pi\) |
0.999809 | + | 0.0195188i | \(0.00621341\pi\) | |||||||
\(810\) | 0.186362 | + | 0.229209i | 0.00654809 | + | 0.00805358i | ||||
\(811\) | 12.3166 | − | 1.77086i | 0.432495 | − | 0.0621834i | 0.0773707 | − | 0.997002i | \(-0.475348\pi\) |
0.355125 | + | 0.934819i | \(0.384438\pi\) | |||||||
\(812\) | −3.20549 | + | 1.22752i | −0.112490 | + | 0.0430776i | ||||
\(813\) | 9.92744 | + | 15.4474i | 0.348171 | + | 0.541764i | ||||
\(814\) | 0.548356 | − | 17.4908i | 0.0192199 | − | 0.613052i | ||||
\(815\) | 0.363082 | − | 0.106610i | 0.0127182 | − | 0.00373440i | ||||
\(816\) | 13.3051 | − | 8.88219i | 0.465770 | − | 0.310939i | ||||
\(817\) | 25.9718 | − | 29.9731i | 0.908640 | − | 1.04863i | ||||
\(818\) | 22.5777 | + | 3.97192i | 0.789409 | + | 0.138875i | ||||
\(819\) | 13.8241 | − | 6.31326i | 0.483054 | − | 0.220603i | ||||
\(820\) | −1.61969 | + | 4.46094i | −0.0565619 | + | 0.155783i | ||||
\(821\) | −1.59913 | + | 5.44614i | −0.0558100 | + | 0.190072i | −0.982680 | − | 0.185311i | \(-0.940671\pi\) |
0.926870 | + | 0.375383i | \(0.122489\pi\) | |||||||
\(822\) | 0.420658 | + | 0.137975i | 0.0146721 | + | 0.00481242i | ||||
\(823\) | 3.10014 | − | 6.78837i | 0.108064 | − | 0.236628i | −0.847873 | − | 0.530200i | \(-0.822117\pi\) |
0.955937 | + | 0.293572i | \(0.0948441\pi\) | |||||||
\(824\) | 32.7363 | − | 1.59805i | 1.14042 | − | 0.0556707i | ||||
\(825\) | −24.0844 | − | 15.4781i | −0.838512 | − | 0.538879i | ||||
\(826\) | 26.6610 | − | 6.92875i | 0.927656 | − | 0.241082i | ||||
\(827\) | − | 1.48225i | − | 0.0515429i | −0.999668 | − | 0.0257715i | \(-0.991796\pi\) | ||
0.999668 | − | 0.0257715i | \(-0.00820422\pi\) | |||||||
\(828\) | 9.58888 | + | 0.231041i | 0.333237 | + | 0.00802922i | ||||
\(829\) | − | 34.1951i | − | 1.18764i | −0.804597 | − | 0.593822i | \(-0.797618\pi\) | ||
0.804597 | − | 0.593822i | \(-0.202382\pi\) | |||||||
\(830\) | 1.06326 | + | 4.09131i | 0.0369063 | + | 0.142011i | ||||
\(831\) | 13.9715 | + | 8.97896i | 0.484667 | + | 0.311477i | ||||
\(832\) | −46.8503 | + | 11.4826i | −1.62424 | + | 0.398088i | ||||
\(833\) | 1.07527 | − | 2.35451i | 0.0372558 | − | 0.0815789i | ||||
\(834\) | −2.46869 | + | 7.52657i | −0.0854838 | + | 0.260624i | ||||
\(835\) | 0.244757 | − | 0.833566i | 0.00847017 | − | 0.0288467i | ||||
\(836\) | 74.9588 | + | 27.2162i | 2.59251 | + | 0.941291i | ||||
\(837\) | −0.266537 | + | 0.121723i | −0.00921287 | + | 0.00420738i | ||||
\(838\) | −2.94435 | + | 16.7367i | −0.101711 | + | 0.578158i | ||||
\(839\) | −12.3653 | + | 14.2703i | −0.426898 | + | 0.492666i | −0.927926 | − | 0.372765i | \(-0.878410\pi\) |
0.501028 | + | 0.865431i | \(0.332955\pi\) | |||||||
\(840\) | 1.29052 | + | 0.743056i | 0.0445271 | + | 0.0256379i | ||||
\(841\) | −27.3804 | + | 8.03962i | −0.944153 | + | 0.277228i | ||||
\(842\) | 33.8558 | + | 1.06142i | 1.16675 | + | 0.0365789i | ||||
\(843\) | 7.80783 | + | 12.1492i | 0.268916 | + | 0.418442i | ||||
\(844\) | −5.30816 | + | 2.03273i | −0.182715 | + | 0.0699695i | ||||
\(845\) | −4.82915 | + | 0.694327i | −0.166128 | + | 0.0238856i | ||||
\(846\) | −3.45217 | + | 2.80684i | −0.118688 | + | 0.0965013i | ||||
\(847\) | −8.02237 | + | 55.7968i | −0.275652 | + | 1.91720i | ||||
\(848\) | −6.87203 | − | 7.65682i | −0.235987 | − | 0.262936i | ||||
\(849\) | 3.79964 | + | 4.38502i | 0.130403 | + | 0.150493i | ||||
\(850\) | −25.1222 | − | 12.4386i | −0.861685 | − | 0.426642i | ||||
\(851\) | 5.21677 | − | 8.85062i | 0.178829 | − | 0.303396i | ||||
\(852\) | −18.7915 | + | 14.3245i | −0.643786 | + | 0.490748i | ||||
\(853\) | 21.1648 | − | 18.3394i | 0.724668 | − | 0.627928i | −0.212357 | − | 0.977192i | \(-0.568114\pi\) |
0.937024 | + | 0.349264i | \(0.113568\pi\) | |||||||
\(854\) | −38.2292 | + | 22.9083i | −1.30818 | + | 0.783907i | ||||
\(855\) | −0.205210 | + | 1.42727i | −0.00701803 | + | 0.0488115i | ||||
\(856\) | 3.29012 | − | 13.6321i | 0.112454 | − | 0.465935i | ||||
\(857\) | 1.32436 | + | 9.21115i | 0.0452394 | + | 0.314647i | 0.999859 | + | 0.0168177i | \(0.00535348\pi\) |
−0.954619 | + | 0.297829i | \(0.903737\pi\) | |||||||
\(858\) | 33.4058 | − | 36.1954i | 1.14045 | − | 1.23569i | ||||
\(859\) | −12.9257 | − | 20.1128i | −0.441019 | − | 0.686238i | 0.547590 | − | 0.836747i | \(-0.315545\pi\) |
−0.988609 | + | 0.150508i | \(0.951909\pi\) | |||||||
\(860\) | 1.13191 | − | 2.11660i | 0.0385979 | − | 0.0721756i | ||||
\(861\) | −8.06668 | − | 27.4726i | −0.274912 | − | 0.936264i | ||||
\(862\) | −12.7902 | + | 5.36330i | −0.435635 | + | 0.182675i | ||||
\(863\) | 36.3504 | − | 41.9506i | 1.23738 | − | 1.42801i | 0.370998 | − | 0.928634i | \(-0.379016\pi\) |
0.866383 | − | 0.499380i | \(-0.166439\pi\) | |||||||
\(864\) | 5.11248 | + | 2.42126i | 0.173930 | + | 0.0823730i | ||||
\(865\) | −1.53262 | − | 3.35596i | −0.0521106 | − | 0.114106i | ||||
\(866\) | 9.15843 | − | 1.02504i | 0.311216 | − | 0.0348321i | ||||
\(867\) | 0.283181 | − | 0.964427i | 0.00961734 | − | 0.0327537i | ||||
\(868\) | −1.03531 | + | 1.05352i | −0.0351407 | + | 0.0357588i | ||||
\(869\) | −12.4816 | − | 5.70016i | −0.423410 | − | 0.193365i | ||||
\(870\) | −0.165728 | − | 0.114000i | −0.00561871 | − | 0.00386495i | ||||
\(871\) | −19.0009 | − | 12.2112i | −0.643823 | − | 0.413760i | ||||
\(872\) | 21.3106 | + | 16.7183i | 0.721668 | + | 0.566153i | ||||
\(873\) | 6.16732 | 0.208732 | ||||||||
\(874\) | 30.9152 | + | 35.1597i | 1.04572 | + | 1.18929i | ||||
\(875\) | − | 5.24197i | − | 0.177211i | ||||||
\(876\) | 22.3690 | + | 4.66222i | 0.755780 | + | 0.157522i | ||||
\(877\) | 12.4730 | − | 19.4084i | 0.421185 | − | 0.655377i | −0.564216 | − | 0.825627i | \(-0.690821\pi\) |
0.985401 | + | 0.170251i | \(0.0544578\pi\) | |||||||
\(878\) | −19.1662 | + | 27.8630i | −0.646828 | + | 0.940332i | ||||
\(879\) | −1.75043 | + | 3.83290i | −0.0590404 | + | 0.129281i | ||||
\(880\) | 4.78846 | + | 0.603462i | 0.161419 | + | 0.0203427i | ||||
\(881\) | 24.5128 | + | 7.19759i | 0.825856 | + | 0.242493i | 0.667236 | − | 0.744847i | \(-0.267477\pi\) |
0.158620 | + | 0.987340i | \(0.449296\pi\) | |||||||
\(882\) | 0.909612 | − | 0.101806i | 0.0306282 | − | 0.00342799i | ||||
\(883\) | 14.9132 | − | 6.81063i | 0.501869 | − | 0.229196i | −0.148361 | − | 0.988933i | \(-0.547400\pi\) |
0.650230 | + | 0.759737i | \(0.274673\pi\) | |||||||
\(884\) | 28.5650 | − | 38.8599i | 0.960743 | − | 1.30700i | ||||
\(885\) | 1.22000 | + | 1.05714i | 0.0410099 | + | 0.0355353i | ||||
\(886\) | 2.78058 | + | 6.63102i | 0.0934155 | + | 0.222773i | ||||
\(887\) | 1.01442 | − | 0.297862i | 0.0340610 | − | 0.0100012i | −0.264658 | − | 0.964342i | \(-0.585259\pi\) |
0.298719 | + | 0.954341i | \(0.403441\pi\) | |||||||
\(888\) | 4.93144 | − | 3.52042i | 0.165488 | − | 0.118138i | ||||
\(889\) | 18.4137 | − | 11.8338i | 0.617577 | − | 0.396893i | ||||
\(890\) | −3.35618 | + | 3.63645i | −0.112499 | + | 0.121894i | ||||
\(891\) | −5.71746 | + | 0.822046i | −0.191542 | + | 0.0275396i | ||||
\(892\) | −17.3990 | + | 3.94409i | −0.582562 | + | 0.132058i | ||||
\(893\) | −21.4964 | − | 3.09072i | −0.719350 | − | 0.103427i | ||||
\(894\) | −1.60400 | − | 2.67673i | −0.0536456 | − | 0.0895233i | ||||
\(895\) | 1.45823 | + | 1.68288i | 0.0487432 | + | 0.0562526i | ||||
\(896\) | 28.4323 | + | 2.18180i | 0.949857 | + | 0.0728888i | ||||
\(897\) | 27.4107 | − | 9.21128i | 0.915216 | − | 0.307556i | ||||
\(898\) | −10.3546 | − | 5.12683i | −0.345538 | − | 0.171085i | ||||
\(899\) | 0.150788 | − | 0.130658i | 0.00502905 | − | 0.00435770i | ||||
\(900\) | −0.793338 | − | 9.88094i | −0.0264446 | − | 0.329365i | ||||
\(901\) | 10.1821 | + | 1.46396i | 0.339214 | + | 0.0487716i | ||||
\(902\) | −58.5420 | − | 72.0015i | −1.94924 | − | 2.39739i | ||||
\(903\) | 2.06086 | + | 14.3336i | 0.0685813 | + | 0.476993i | ||||
\(904\) | −2.45232 | + | 26.0054i | −0.0815631 | + | 0.864926i | ||||
\(905\) | −2.42123 | + | 1.55603i | −0.0804845 | + | 0.0517242i | ||||
\(906\) | 33.9504 | + | 1.06438i | 1.12793 | + | 0.0353618i | ||||
\(907\) | −7.08244 | − | 24.1206i | −0.235169 | − | 0.800910i | −0.989515 | − | 0.144433i | \(-0.953864\pi\) |
0.754346 | − | 0.656477i | \(-0.227954\pi\) | |||||||
\(908\) | −0.525396 | + | 8.37098i | −0.0174359 | + | 0.277801i | ||||
\(909\) | −9.40674 | − | 8.15099i | −0.312002 | − | 0.270351i | ||||
\(910\) | 4.42160 | + | 0.777858i | 0.146575 | + | 0.0257858i | ||||
\(911\) | 21.6016 | + | 47.3008i | 0.715692 | + | 1.56715i | 0.819845 | + | 0.572585i | \(0.194059\pi\) |
−0.104154 | + | 0.994561i | \(0.533213\pi\) | |||||||
\(912\) | 8.23992 | + | 26.3538i | 0.272851 | + | 0.872662i | ||||
\(913\) | −79.3077 | − | 23.2869i | −2.62470 | − | 0.770682i | ||||
\(914\) | 10.1704 | − | 31.0076i | 0.336407 | − | 1.02564i | ||||
\(915\) | −2.37573 | − | 1.08496i | −0.0785394 | − | 0.0358677i | ||||
\(916\) | −3.05547 | − | 5.48153i | −0.100956 | − | 0.181115i | ||||
\(917\) | 8.54224 | − | 13.2920i | 0.282089 | − | 0.438940i | ||||
\(918\) | −5.47411 | + | 1.42263i | −0.180672 | + | 0.0469537i | ||||
\(919\) | 24.8732 | 0.820490 | 0.410245 | − | 0.911975i | \(-0.365443\pi\) | ||||
0.410245 | + | 0.911975i | \(0.365443\pi\) | |||||||
\(920\) | 2.29514 | + | 1.66160i | 0.0756686 | + | 0.0547814i | ||||
\(921\) | −29.5613 | −0.974076 | ||||||||
\(922\) | −25.5793 | + | 6.64761i | −0.842408 | + | 0.218928i | ||||
\(923\) | −38.5129 | + | 59.9272i | −1.26767 | + | 1.97253i | ||||
\(924\) | −25.4334 | + | 14.1769i | −0.836699 | + | 0.466387i | ||||
\(925\) | −9.65808 | − | 4.41070i | −0.317556 | − | 0.145023i | ||||
\(926\) | 15.8292 | − | 48.2600i | 0.520178 | − | 1.58592i | ||||
\(927\) | −11.1184 | − | 3.26467i | −0.365177 | − | 0.107226i | ||||
\(928\) | −3.80467 | − | 0.601137i | −0.124894 | − | 0.0197333i | ||||
\(929\) | 6.53377 | + | 14.3070i | 0.214366 | + | 0.469396i | 0.986016 | − | 0.166651i | \(-0.0532954\pi\) |
−0.771650 | + | 0.636048i | \(0.780568\pi\) | |||||||
\(930\) | −0.0852510 | − | 0.0149976i | −0.00279549 | − | 0.000491789i | ||||
\(931\) | 3.37644 | + | 2.92570i | 0.110658 | + | 0.0958861i | ||||
\(932\) | 12.1100 | + | 0.760073i | 0.396677 | + | 0.0248970i | ||||
\(933\) | 7.45745 | + | 25.3977i | 0.244146 | + | 0.831485i | ||||
\(934\) | 5.22632 | + | 0.163851i | 0.171010 | + | 0.00536137i | ||||
\(935\) | −4.05952 | + | 2.60889i | −0.132760 | + | 0.0853199i | ||||
\(936\) | 16.9790 | + | 1.60113i | 0.554976 | + | 0.0523346i | ||||
\(937\) | 1.10766 | + | 7.70394i | 0.0361857 | + | 0.251677i | 0.999883 | − | 0.0153217i | \(-0.00487724\pi\) |
−0.963697 | + | 0.266998i | \(0.913968\pi\) | |||||||
\(938\) | 8.42340 | + | 10.3600i | 0.275034 | + | 0.338267i | ||||
\(939\) | −2.96349 | − | 0.426085i | −0.0967098 | − | 0.0139048i | ||||
\(940\) | −1.31014 | + | 0.105191i | −0.0427321 | + | 0.00343095i | ||||
\(941\) | 4.62640 | − | 4.00880i | 0.150816 | − | 0.130683i | −0.576185 | − | 0.817320i | \(-0.695459\pi\) |
0.727001 | + | 0.686637i | \(0.240914\pi\) | |||||||
\(942\) | −23.6942 | − | 11.7316i | −0.771999 | − | 0.382236i | ||||
\(943\) | −9.82816 | − | 53.5865i | −0.320049 | − | 1.74502i | ||||
\(944\) | 29.8075 | + | 8.19055i | 0.970151 | + | 0.266580i | ||||
\(945\) | −0.344780 | − | 0.397898i | −0.0112157 | − | 0.0129436i | ||||
\(946\) | 24.1242 | + | 40.2582i | 0.784345 | + | 1.30891i | ||||
\(947\) | 16.5999 | + | 2.38671i | 0.539424 | + | 0.0775575i | 0.406642 | − | 0.913588i | \(-0.366700\pi\) |
0.132783 | + | 0.991145i | \(0.457609\pi\) | |||||||
\(948\) | −1.05034 | − | 4.63349i | −0.0341135 | − | 0.150489i | ||||
\(949\) | 68.1863 | − | 9.80371i | 2.21342 | − | 0.318242i | ||||
\(950\) | 32.8161 | − | 35.5565i | 1.06469 | − | 1.15360i | ||||
\(951\) | −4.35069 | + | 2.79602i | −0.141081 | + | 0.0906672i | ||||
\(952\) | −23.2052 | + | 16.5655i | −0.752084 | + | 0.536892i | ||||
\(953\) | −21.7018 | + | 6.37224i | −0.702992 | + | 0.206417i | −0.613643 | − | 0.789583i | \(-0.710297\pi\) |
−0.0893485 | + | 0.996000i | \(0.528478\pi\) | |||||||
\(954\) | 1.40665 | + | 3.35452i | 0.0455420 | + | 0.108607i | ||||
\(955\) | 2.32642 | + | 2.01585i | 0.0752812 | + | 0.0652315i | ||||
\(956\) | −0.796271 | − | 0.585319i | −0.0257532 | − | 0.0189306i | ||||
\(957\) | 3.57773 | − | 1.63390i | 0.115652 | − | 0.0528164i | ||||
\(958\) | 53.1109 | − | 5.94431i | 1.71593 | − | 0.192052i | ||||
\(959\) | −0.757053 | − | 0.222291i | −0.0244465 | − | 0.00717814i | ||||
\(960\) | 0.838952 | + | 1.44524i | 0.0270771 | + | 0.0466449i | ||||
\(961\) | −12.8422 | + | 28.1205i | −0.414264 | + | 0.907113i | ||||
\(962\) | 10.3525 | − | 15.0501i | 0.333780 | − | 0.485235i | ||||
\(963\) | −2.68053 | + | 4.17098i | −0.0863788 | + | 0.134408i | ||||
\(964\) | −6.79632 | + | 32.6083i | −0.218895 | + | 1.05024i | ||||
\(965\) | − | 3.97064i | − | 0.127819i | ||||||
\(966\) | −17.0942 | + | 0.123951i | −0.549998 | + | 0.00398805i | ||||
\(967\) | −36.6351 | −1.17810 | −0.589052 | − | 0.808095i | \(-0.700499\pi\) | ||||
−0.589052 | + | 0.808095i | \(0.700499\pi\) | |||||||
\(968\) | −39.0449 | + | 49.7701i | −1.25495 | + | 1.59967i | ||||
\(969\) | −23.2249 | − | 14.9257i | −0.746092 | − | 0.479484i | ||||
\(970\) | 1.50106 | + | 1.03253i | 0.0481960 | + | 0.0331526i | ||||
\(971\) | −17.3842 | − | 7.93909i | −0.557885 | − | 0.254777i | 0.116458 | − | 0.993196i | \(-0.462846\pi\) |
−0.674343 | + | 0.738418i | \(0.735573\pi\) | |||||||
\(972\) | −1.42649 | − | 1.40183i | −0.0457547 | − | 0.0449637i | ||||
\(973\) | 3.97731 | − | 13.5455i | 0.127507 | − | 0.434248i | ||||
\(974\) | 28.8453 | − | 3.22845i | 0.924264 | − | 0.103446i | ||||
\(975\) | −12.4147 | − | 27.1843i | −0.397587 | − | 0.870595i | ||||
\(976\) | −50.0052 | + | 0.871987i | −1.60063 | + | 0.0279116i | ||||
\(977\) | −9.38645 | + | 10.8325i | −0.300299 | + | 0.346564i | −0.885765 | − | 0.464133i | \(-0.846366\pi\) |
0.585466 | + | 0.810697i | \(0.300911\pi\) | |||||||
\(978\) | −2.36261 | + | 0.990714i | −0.0755480 | + | 0.0316795i | ||||
\(979\) | −27.2603 | − | 92.8401i | −0.871243 | − | 2.96718i | ||||
\(980\) | 0.238434 | + | 0.127509i | 0.00761648 | + | 0.00407312i | ||||
\(981\) | −5.17734 | − | 8.05609i | −0.165300 | − | 0.257211i | ||||
\(982\) | 4.05285 | − | 4.39129i | 0.129332 | − | 0.140132i | ||||
\(983\) | −5.61170 | − | 39.0302i | −0.178985 | − | 1.24487i | −0.859117 | − | 0.511780i | \(-0.828986\pi\) |
0.680131 | − | 0.733090i | \(-0.261923\pi\) | |||||||
\(984\) | 7.53835 | − | 31.2339i | 0.240314 | − | 0.995701i | ||||
\(985\) | 0.618641 | − | 4.30275i | 0.0197116 | − | 0.137097i | ||||
\(986\) | 3.30353 | − | 1.97960i | 0.105206 | − | 0.0630432i | ||||
\(987\) | 5.99284 | − | 5.19282i | 0.190754 | − | 0.165289i | ||||
\(988\) | 50.4657 | + | 66.2033i | 1.60553 | + | 2.10621i | ||||
\(989\) | 1.06308 | + | 27.5332i | 0.0338041 | + | 0.875506i | ||||
\(990\) | −1.52919 | − | 0.757140i | −0.0486009 | − | 0.0240635i | ||||
\(991\) | −14.7563 | − | 17.0296i | −0.468748 | − | 0.540964i | 0.471315 | − | 0.881965i | \(-0.343780\pi\) |
−0.940063 | + | 0.341001i | \(0.889234\pi\) | |||||||
\(992\) | −1.59675 | + | 0.444827i | −0.0506968 | + | 0.0141233i | ||||
\(993\) | −2.89680 | + | 20.1477i | −0.0919271 | + | 0.639367i | ||||
\(994\) | 32.6746 | − | 26.5666i | 1.03638 | − | 0.842642i | ||||
\(995\) | −3.40967 | + | 0.490237i | −0.108094 | + | 0.0155416i | ||||
\(996\) | −10.2348 | − | 26.7266i | −0.324302 | − | 0.846863i | ||||
\(997\) | −6.54173 | − | 10.1791i | −0.207179 | − | 0.322376i | 0.722078 | − | 0.691812i | \(-0.243187\pi\) |
−0.929256 | + | 0.369436i | \(0.879551\pi\) | |||||||
\(998\) | −20.9234 | − | 0.655973i | −0.662319 | − | 0.0207645i | ||||
\(999\) | −2.05543 | + | 0.603530i | −0.0650310 | + | 0.0190948i |
(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 | 552.2.bb.a.13.20 | yes | 480 | |
8.5 | even | 2 | inner | 552.2.bb.a.13.7 | ✓ | 480 | |
23.16 | even | 11 | inner | 552.2.bb.a.85.7 | yes | 480 | |
184.85 | even | 22 | inner | 552.2.bb.a.85.20 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.bb.a.13.7 | ✓ | 480 | 8.5 | even | 2 | inner | |
552.2.bb.a.13.20 | yes | 480 | 1.1 | even | 1 | trivial | |
552.2.bb.a.85.7 | yes | 480 | 23.16 | even | 11 | inner | |
552.2.bb.a.85.20 | yes | 480 | 184.85 | even | 22 | inner |