Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [539,2,Mod(23,539)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(539, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([38, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("539.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 539 = 7^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 539.r (of order \(21\), degree \(12\), 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: | \(4.30393666895\) |
Analytic rank: | \(0\) |
Dimension: | \(276\) |
Relative dimension: | \(23\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 23.9 | ||
Character | \(\chi\) | \(=\) | 539.23 |
Dual form | 539.2.r.a.375.9 |
$q$-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 \(\left(\mathbb{Z}/539\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(442\) |
\(\chi(n)\) | \(e\left(\frac{19}{21}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0414087 | + | 0.552561i | −0.0292804 | + | 0.390720i | 0.963240 | + | 0.268642i | \(0.0865748\pi\) |
−0.992521 | + | 0.122078i | \(0.961044\pi\) | |||||||
\(3\) | 2.45816 | − | 0.758241i | 1.41922 | − | 0.437770i | 0.512201 | − | 0.858866i | \(-0.328830\pi\) |
0.907016 | + | 0.421095i | \(0.138354\pi\) | |||||||
\(4\) | 1.67405 | + | 0.252323i | 0.837026 | + | 0.126161i | ||||
\(5\) | −0.520559 | − | 0.483008i | −0.232801 | − | 0.216008i | 0.555143 | − | 0.831755i | \(-0.312664\pi\) |
−0.787944 | + | 0.615747i | \(0.788854\pi\) | |||||||
\(6\) | 0.317185 | + | 1.38968i | 0.129490 | + | 0.567334i | ||||
\(7\) | 0.112603 | + | 2.64335i | 0.0425599 | + | 0.999094i | ||||
\(8\) | −0.455347 | + | 1.99500i | −0.160989 | + | 0.705340i | ||||
\(9\) | 2.98889 | − | 2.03779i | 0.996295 | − | 0.679263i | ||||
\(10\) | 0.288447 | − | 0.267640i | 0.0912150 | − | 0.0846352i | ||||
\(11\) | −0.826239 | − | 0.563320i | −0.249120 | − | 0.169847i | ||||
\(12\) | 4.30640 | − | 0.649086i | 1.24315 | − | 0.187375i | ||||
\(13\) | 0.219810 | − | 0.105855i | 0.0609644 | − | 0.0293589i | −0.403153 | − | 0.915133i | \(-0.632086\pi\) |
0.464118 | + | 0.885774i | \(0.346372\pi\) | |||||||
\(14\) | −1.46528 | − | 0.0472379i | −0.391612 | − | 0.0126249i | ||||
\(15\) | −1.64585 | − | 0.792601i | −0.424957 | − | 0.204649i | ||||
\(16\) | 2.15199 | + | 0.663801i | 0.537998 | + | 0.165950i | ||||
\(17\) | −1.01801 | + | 2.59384i | −0.246903 | + | 0.629100i | −0.999571 | − | 0.0293015i | \(-0.990672\pi\) |
0.752667 | + | 0.658401i | \(0.228767\pi\) | |||||||
\(18\) | 1.00224 | + | 1.73592i | 0.236229 | + | 0.409161i | ||||
\(19\) | 0.350860 | − | 0.607707i | 0.0804928 | − | 0.139418i | −0.822969 | − | 0.568086i | \(-0.807684\pi\) |
0.903462 | + | 0.428669i | \(0.141017\pi\) | |||||||
\(20\) | −0.749569 | − | 0.939930i | −0.167609 | − | 0.210175i | ||||
\(21\) | 2.28109 | + | 6.41240i | 0.497776 | + | 1.39930i | ||||
\(22\) | 0.345482 | − | 0.433221i | 0.0736571 | − | 0.0923630i | ||||
\(23\) | −0.0832406 | − | 0.212094i | −0.0173569 | − | 0.0442246i | 0.921933 | − | 0.387350i | \(-0.126610\pi\) |
−0.939290 | + | 0.343126i | \(0.888514\pi\) | |||||||
\(24\) | 0.393380 | + | 5.24929i | 0.0802984 | + | 1.07151i | ||||
\(25\) | −0.335966 | − | 4.48315i | −0.0671931 | − | 0.896630i | ||||
\(26\) | 0.0493893 | + | 0.125842i | 0.00968604 | + | 0.0246796i | ||||
\(27\) | 0.990339 | − | 1.24185i | 0.190591 | − | 0.238993i | ||||
\(28\) | −0.478475 | + | 4.45353i | −0.0904233 | + | 0.841637i | ||||
\(29\) | −4.24278 | − | 5.32028i | −0.787865 | − | 0.987951i | −0.999943 | − | 0.0106985i | \(-0.996595\pi\) |
0.212078 | − | 0.977253i | \(-0.431977\pi\) | |||||||
\(30\) | 0.506113 | − | 0.876613i | 0.0924031 | − | 0.160047i | ||||
\(31\) | −2.95954 | − | 5.12608i | −0.531549 | − | 0.920671i | −0.999322 | − | 0.0368216i | \(-0.988277\pi\) |
0.467772 | − | 0.883849i | \(-0.345057\pi\) | |||||||
\(32\) | −1.95110 | + | 4.97133i | −0.344910 | + | 0.878815i | ||||
\(33\) | −2.45816 | − | 0.758241i | −0.427910 | − | 0.131993i | ||||
\(34\) | −1.39110 | − | 0.669920i | −0.238572 | − | 0.114890i | ||||
\(35\) | 1.21815 | − | 1.43041i | 0.205904 | − | 0.241783i | ||||
\(36\) | 5.51773 | − | 2.65720i | 0.919622 | − | 0.442867i | ||||
\(37\) | 10.1949 | − | 1.53664i | 1.67604 | − | 0.252622i | 0.758904 | − | 0.651203i | \(-0.225735\pi\) |
0.917133 | + | 0.398581i | \(0.130497\pi\) | |||||||
\(38\) | 0.321267 | + | 0.219036i | 0.0521163 | + | 0.0355323i | ||||
\(39\) | 0.460064 | − | 0.426877i | 0.0736692 | − | 0.0683550i | ||||
\(40\) | 1.20064 | − | 0.818581i | 0.189838 | − | 0.129429i | ||||
\(41\) | −0.337119 | + | 1.47702i | −0.0526492 | + | 0.230671i | −0.994406 | − | 0.105623i | \(-0.966316\pi\) |
0.941757 | + | 0.336294i | \(0.109174\pi\) | |||||||
\(42\) | −3.63770 | + | 0.994915i | −0.561309 | + | 0.153519i | ||||
\(43\) | −2.26714 | − | 9.93297i | −0.345735 | − | 1.51476i | −0.786754 | − | 0.617266i | \(-0.788240\pi\) |
0.441019 | − | 0.897498i | \(-0.354617\pi\) | |||||||
\(44\) | −1.24103 | − | 1.15151i | −0.187092 | − | 0.173596i | ||||
\(45\) | −2.54016 | − | 0.382868i | −0.378665 | − | 0.0570745i | ||||
\(46\) | 0.120642 | − | 0.0372130i | 0.0177876 | − | 0.00548676i | ||||
\(47\) | 0.549528 | − | 7.33294i | 0.0801569 | − | 1.06962i | −0.801583 | − | 0.597883i | \(-0.796009\pi\) |
0.881740 | − | 0.471736i | \(-0.156372\pi\) | |||||||
\(48\) | 5.79325 | 0.836183 | ||||||||
\(49\) | −6.97464 | + | 0.595299i | −0.996377 | + | 0.0850427i | ||||
\(50\) | 2.49113 | 0.352298 | ||||||||
\(51\) | −0.535666 | + | 7.14797i | −0.0750083 | + | 1.00092i | ||||
\(52\) | 0.394683 | − | 0.121744i | 0.0547327 | − | 0.0168828i | ||||
\(53\) | −8.20161 | − | 1.23619i | −1.12658 | − | 0.169804i | −0.440793 | − | 0.897609i | \(-0.645303\pi\) |
−0.685785 | + | 0.727805i | \(0.740541\pi\) | |||||||
\(54\) | 0.645187 | + | 0.598646i | 0.0877988 | + | 0.0814654i | ||||
\(55\) | 0.158018 | + | 0.692322i | 0.0213071 | + | 0.0933526i | ||||
\(56\) | −5.32477 | − | 0.978999i | −0.711553 | − | 0.130824i | ||||
\(57\) | 0.401680 | − | 1.75988i | 0.0532038 | − | 0.233101i | ||||
\(58\) | 3.11547 | − | 2.12409i | 0.409081 | − | 0.278907i | ||||
\(59\) | −8.84215 | + | 8.20432i | −1.15115 | + | 1.06811i | −0.154363 | + | 0.988014i | \(0.549333\pi\) |
−0.996787 | + | 0.0800974i | \(0.974477\pi\) | |||||||
\(60\) | −2.55525 | − | 1.74214i | −0.329882 | − | 0.224909i | ||||
\(61\) | −2.72716 | + | 0.411053i | −0.349177 | + | 0.0526300i | −0.321289 | − | 0.946981i | \(-0.604116\pi\) |
−0.0278878 | + | 0.999611i | \(0.508878\pi\) | |||||||
\(62\) | 2.95502 | − | 1.42306i | 0.375288 | − | 0.180729i | ||||
\(63\) | 5.72315 | + | 7.67122i | 0.721049 | + | 0.966483i | ||||
\(64\) | 1.39187 | + | 0.670289i | 0.173984 | + | 0.0837861i | ||||
\(65\) | −0.165553 | − | 0.0510663i | −0.0205343 | − | 0.00633400i | ||||
\(66\) | 0.520763 | − | 1.32688i | 0.0641015 | − | 0.163328i | ||||
\(67\) | 6.77862 | + | 11.7409i | 0.828140 | + | 1.43438i | 0.899496 | + | 0.436930i | \(0.143934\pi\) |
−0.0713558 | + | 0.997451i | \(0.522733\pi\) | |||||||
\(68\) | −2.35869 | + | 4.08536i | −0.286033 | + | 0.495423i | ||||
\(69\) | −0.365436 | − | 0.458243i | −0.0439934 | − | 0.0551660i | ||||
\(70\) | 0.739947 | + | 0.732331i | 0.0884406 | + | 0.0875303i | ||||
\(71\) | 5.64888 | − | 7.08348i | 0.670399 | − | 0.840654i | −0.324032 | − | 0.946046i | \(-0.605038\pi\) |
0.994431 | + | 0.105392i | \(0.0336098\pi\) | |||||||
\(72\) | 2.70441 | + | 6.89074i | 0.318718 | + | 0.812081i | ||||
\(73\) | 0.846781 | + | 11.2995i | 0.0991083 | + | 1.32251i | 0.795985 | + | 0.605317i | \(0.206954\pi\) |
−0.696877 | + | 0.717191i | \(0.745427\pi\) | |||||||
\(74\) | 0.426928 | + | 5.69695i | 0.0496293 | + | 0.662258i | ||||
\(75\) | −4.22516 | − | 10.7655i | −0.487880 | − | 1.24310i | ||||
\(76\) | 0.740696 | − | 0.928804i | 0.0849637 | − | 0.106541i | ||||
\(77\) | 1.39602 | − | 2.24747i | 0.159091 | − | 0.256123i | ||||
\(78\) | 0.216825 | + | 0.271890i | 0.0245506 | + | 0.0307855i | ||||
\(79\) | 0.736194 | − | 1.27513i | 0.0828283 | − | 0.143463i | −0.821635 | − | 0.570013i | \(-0.806938\pi\) |
0.904464 | + | 0.426550i | \(0.140271\pi\) | |||||||
\(80\) | −0.799617 | − | 1.38498i | −0.0893999 | − | 0.154845i | ||||
\(81\) | −2.47203 | + | 6.29863i | −0.274670 | + | 0.699848i | ||||
\(82\) | −0.802182 | − | 0.247440i | −0.0885862 | − | 0.0273252i | ||||
\(83\) | 11.0002 | + | 5.29744i | 1.20743 | + | 0.581469i | 0.925786 | − | 0.378049i | \(-0.123405\pi\) |
0.281648 | + | 0.959518i | \(0.409119\pi\) | |||||||
\(84\) | 2.20068 | + | 11.3103i | 0.240114 | + | 1.23405i | ||||
\(85\) | 1.78278 | − | 0.858543i | 0.193370 | − | 0.0931220i | ||||
\(86\) | 5.58245 | − | 0.841419i | 0.601971 | − | 0.0907326i | ||||
\(87\) | −14.4635 | − | 9.86103i | −1.55065 | − | 1.05721i | ||||
\(88\) | 1.50005 | − | 1.39184i | 0.159906 | − | 0.148371i | ||||
\(89\) | −8.10915 | + | 5.52873i | −0.859568 | + | 0.586044i | −0.910895 | − | 0.412638i | \(-0.864607\pi\) |
0.0513266 | + | 0.998682i | \(0.483655\pi\) | |||||||
\(90\) | 0.316742 | − | 1.38774i | 0.0333876 | − | 0.146281i | ||||
\(91\) | 0.304564 | + | 0.569116i | 0.0319269 | + | 0.0596596i | ||||
\(92\) | −0.0858331 | − | 0.376059i | −0.00894872 | − | 0.0392069i | ||||
\(93\) | −11.1618 | − | 10.3567i | −1.15743 | − | 1.07393i | ||||
\(94\) | 4.02914 | + | 0.607295i | 0.415574 | + | 0.0626377i | ||||
\(95\) | −0.476171 | + | 0.146879i | −0.0488541 | + | 0.0150695i | ||||
\(96\) | −1.02665 | + | 13.6997i | −0.104782 | + | 1.39822i | ||||
\(97\) | 3.08870 | 0.313610 | 0.156805 | − | 0.987630i | \(-0.449881\pi\) | ||||
0.156805 | + | 0.987630i | \(0.449881\pi\) | |||||||
\(98\) | −0.0401280 | − | 3.87857i | −0.00405354 | − | 0.391794i | ||||
\(99\) | −3.61746 | −0.363568 | ||||||||
\(100\) | 0.568777 | − | 7.58980i | 0.0568777 | − | 0.758980i | ||||
\(101\) | 0.220250 | − | 0.0679382i | 0.0219157 | − | 0.00676011i | −0.283778 | − | 0.958890i | \(-0.591588\pi\) |
0.305694 | + | 0.952130i | \(0.401112\pi\) | |||||||
\(102\) | −3.92751 | − | 0.591977i | −0.388881 | − | 0.0586144i | ||||
\(103\) | −1.07365 | − | 0.996198i | −0.105789 | − | 0.0981583i | 0.625505 | − | 0.780220i | \(-0.284893\pi\) |
−0.731294 | + | 0.682062i | \(0.761083\pi\) | |||||||
\(104\) | 0.111091 | + | 0.486723i | 0.0108934 | + | 0.0477271i | ||||
\(105\) | 1.90980 | − | 4.43982i | 0.186377 | − | 0.433282i | ||||
\(106\) | 1.02269 | − | 4.48070i | 0.0993325 | − | 0.435204i | ||||
\(107\) | −2.12926 | + | 1.45170i | −0.205843 | + | 0.140341i | −0.661854 | − | 0.749633i | \(-0.730230\pi\) |
0.456011 | + | 0.889974i | \(0.349278\pi\) | |||||||
\(108\) | 1.97122 | − | 1.82903i | 0.189681 | − | 0.175998i | ||||
\(109\) | 4.86865 | + | 3.31939i | 0.466332 | + | 0.317940i | 0.773590 | − | 0.633687i | \(-0.218459\pi\) |
−0.307258 | + | 0.951626i | \(0.599412\pi\) | |||||||
\(110\) | −0.389093 | + | 0.0586464i | −0.0370986 | + | 0.00559171i | ||||
\(111\) | 23.8956 | − | 11.5075i | 2.26807 | − | 1.09224i | ||||
\(112\) | −1.51234 | + | 5.76322i | −0.142903 | + | 0.544573i | ||||
\(113\) | −6.19790 | − | 2.98475i | −0.583049 | − | 0.280782i | 0.119018 | − | 0.992892i | \(-0.462025\pi\) |
−0.702067 | + | 0.712110i | \(0.747740\pi\) | |||||||
\(114\) | 0.955805 | + | 0.294827i | 0.0895194 | + | 0.0276131i | ||||
\(115\) | −0.0591113 | + | 0.150613i | −0.00551216 | + | 0.0140448i | ||||
\(116\) | −5.76021 | − | 9.97698i | −0.534822 | − | 0.926339i | ||||
\(117\) | 0.441277 | − | 0.764315i | 0.0407961 | − | 0.0706609i | ||||
\(118\) | −4.16725 | − | 5.22556i | −0.383626 | − | 0.481052i | ||||
\(119\) | −6.97108 | − | 2.39888i | −0.639038 | − | 0.219905i | ||||
\(120\) | 2.33067 | − | 2.92257i | 0.212760 | − | 0.266793i | ||||
\(121\) | 0.365341 | + | 0.930874i | 0.0332128 | + | 0.0846249i | ||||
\(122\) | −0.114204 | − | 1.52394i | −0.0103395 | − | 0.137971i | ||||
\(123\) | 0.291242 | + | 3.88635i | 0.0262604 | + | 0.350421i | ||||
\(124\) | −3.66100 | − | 9.32808i | −0.328768 | − | 0.837687i | ||||
\(125\) | −4.20429 | + | 5.27201i | −0.376043 | + | 0.471543i | ||||
\(126\) | −4.47581 | + | 2.84474i | −0.398737 | + | 0.253429i | ||||
\(127\) | −2.10373 | − | 2.63800i | −0.186676 | − | 0.234084i | 0.679683 | − | 0.733506i | \(-0.262117\pi\) |
−0.866359 | + | 0.499422i | \(0.833546\pi\) | |||||||
\(128\) | −5.76851 | + | 9.99135i | −0.509869 | + | 0.883119i | ||||
\(129\) | −13.1046 | − | 22.6978i | −1.15379 | − | 1.99843i | ||||
\(130\) | 0.0350726 | − | 0.0893636i | 0.00307607 | − | 0.00783770i | ||||
\(131\) | −7.55450 | − | 2.33025i | −0.660040 | − | 0.203595i | −0.0534013 | − | 0.998573i | \(-0.517006\pi\) |
−0.606638 | + | 0.794978i | \(0.707482\pi\) | |||||||
\(132\) | −3.92376 | − | 1.88958i | −0.341520 | − | 0.164467i | ||||
\(133\) | 1.64589 | + | 0.859017i | 0.142717 | + | 0.0744862i | ||||
\(134\) | −6.76826 | + | 3.25942i | −0.584689 | + | 0.281571i | ||||
\(135\) | −1.11535 | + | 0.168112i | −0.0959942 | + | 0.0144688i | ||||
\(136\) | −4.71118 | − | 3.21203i | −0.403980 | − | 0.275429i | ||||
\(137\) | 11.6019 | − | 10.7650i | 0.991219 | − | 0.919716i | −0.00555468 | − | 0.999985i | \(-0.501768\pi\) |
0.996773 | + | 0.0802681i | \(0.0255776\pi\) | |||||||
\(138\) | 0.268339 | − | 0.182951i | 0.0228426 | − | 0.0155738i | ||||
\(139\) | −3.27976 | + | 14.3696i | −0.278185 | + | 1.21881i | 0.621900 | + | 0.783097i | \(0.286361\pi\) |
−0.900085 | + | 0.435713i | \(0.856496\pi\) | |||||||
\(140\) | 2.40016 | − | 2.08722i | 0.202851 | − | 0.176402i | ||||
\(141\) | −4.20931 | − | 18.4422i | −0.354488 | − | 1.55311i | ||||
\(142\) | 3.68014 | + | 3.41467i | 0.308831 | + | 0.286553i | ||||
\(143\) | −0.241246 | − | 0.0363620i | −0.0201740 | − | 0.00304074i | ||||
\(144\) | 7.78474 | − | 2.40127i | 0.648728 | − | 0.200106i | ||||
\(145\) | −0.361121 | + | 4.81882i | −0.0299894 | + | 0.400181i | ||||
\(146\) | −6.27873 | −0.519632 | ||||||||
\(147\) | −16.6934 | + | 6.75179i | −1.37685 | + | 0.556879i | ||||
\(148\) | 17.4546 | 1.43476 | ||||||||
\(149\) | 0.750197 | − | 10.0107i | 0.0614586 | − | 0.820108i | −0.878265 | − | 0.478174i | \(-0.841299\pi\) |
0.939724 | − | 0.341934i | \(-0.111082\pi\) | |||||||
\(150\) | 6.12358 | − | 1.88887i | 0.499988 | − | 0.154226i | ||||
\(151\) | −0.652399 | − | 0.0983333i | −0.0530914 | − | 0.00800225i | 0.122443 | − | 0.992476i | \(-0.460927\pi\) |
−0.175534 | + | 0.984473i | \(0.556165\pi\) | |||||||
\(152\) | 1.05261 | + | 0.976684i | 0.0853783 | + | 0.0792195i | ||||
\(153\) | 2.24299 | + | 9.82719i | 0.181335 | + | 0.794481i | ||||
\(154\) | 1.18406 | + | 0.864450i | 0.0954142 | + | 0.0696594i | ||||
\(155\) | −0.935321 | + | 4.09791i | −0.0751268 | + | 0.329152i | ||||
\(156\) | 0.877882 | − | 0.598530i | 0.0702868 | − | 0.0479208i | ||||
\(157\) | 0.0113915 | − | 0.0105698i | 0.000909141 | − | 0.000843560i | −0.679718 | − | 0.733474i | \(-0.737898\pi\) |
0.680627 | + | 0.732630i | \(0.261707\pi\) | |||||||
\(158\) | 0.674100 | + | 0.459594i | 0.0536285 | + | 0.0365633i | ||||
\(159\) | −21.0982 | + | 3.18004i | −1.67319 | + | 0.252193i | ||||
\(160\) | 3.41686 | − | 1.64547i | 0.270126 | − | 0.130086i | ||||
\(161\) | 0.551265 | − | 0.243917i | 0.0434458 | − | 0.0192233i | ||||
\(162\) | −3.37801 | − | 1.62677i | −0.265402 | − | 0.127811i | ||||
\(163\) | −3.81850 | − | 1.17785i | −0.299088 | − | 0.0922564i | 0.141579 | − | 0.989927i | \(-0.454782\pi\) |
−0.440667 | + | 0.897670i | \(0.645258\pi\) | |||||||
\(164\) | −0.937040 | + | 2.38754i | −0.0731706 | + | 0.186436i | ||||
\(165\) | 0.913379 | + | 1.58202i | 0.0711065 | + | 0.123160i | ||||
\(166\) | −3.38266 | + | 5.85895i | −0.262546 | + | 0.454742i | ||||
\(167\) | −3.22110 | − | 4.03913i | −0.249256 | − | 0.312557i | 0.641425 | − | 0.767186i | \(-0.278344\pi\) |
−0.890681 | + | 0.454628i | \(0.849772\pi\) | |||||||
\(168\) | −13.8314 | + | 1.63093i | −1.06712 | + | 0.125829i | ||||
\(169\) | −8.06826 | + | 10.1173i | −0.620635 | + | 0.778252i | ||||
\(170\) | 0.400574 | + | 1.02065i | 0.0307227 | + | 0.0782801i | ||||
\(171\) | −0.189698 | − | 2.53134i | −0.0145066 | − | 0.193577i | ||||
\(172\) | −1.28899 | − | 17.2004i | −0.0982845 | − | 1.31152i | ||||
\(173\) | −5.07354 | − | 12.9272i | −0.385734 | − | 0.982834i | −0.983459 | − | 0.181132i | \(-0.942024\pi\) |
0.597725 | − | 0.801701i | \(-0.296071\pi\) | |||||||
\(174\) | 6.04773 | − | 7.58362i | 0.458478 | − | 0.574913i | ||||
\(175\) | 11.8127 | − | 1.39289i | 0.892958 | − | 0.105293i | ||||
\(176\) | −1.40413 | − | 1.76072i | −0.105840 | − | 0.132719i | ||||
\(177\) | −15.5145 | + | 26.8720i | −1.16614 | + | 2.01982i | ||||
\(178\) | −2.71917 | − | 4.70974i | −0.203810 | − | 0.353010i | ||||
\(179\) | 2.64520 | − | 6.73985i | 0.197711 | − | 0.503760i | −0.797293 | − | 0.603592i | \(-0.793735\pi\) |
0.995004 | + | 0.0998325i | \(0.0318307\pi\) | |||||||
\(180\) | −4.15576 | − | 1.28188i | −0.309752 | − | 0.0955457i | ||||
\(181\) | 4.35920 | + | 2.09928i | 0.324017 | + | 0.156038i | 0.588820 | − | 0.808264i | \(-0.299593\pi\) |
−0.264803 | + | 0.964302i | \(0.585307\pi\) | |||||||
\(182\) | −0.327083 | + | 0.144724i | −0.0242450 | + | 0.0107276i | ||||
\(183\) | −6.39211 | + | 3.07828i | −0.472518 | + | 0.227553i | ||||
\(184\) | 0.461031 | − | 0.0694892i | 0.0339877 | − | 0.00512281i | ||||
\(185\) | −6.04928 | − | 4.12433i | −0.444752 | − | 0.303227i | ||||
\(186\) | 6.18488 | − | 5.73873i | 0.453497 | − | 0.420784i | ||||
\(187\) | 2.30228 | − | 1.56967i | 0.168360 | − | 0.114786i | ||||
\(188\) | 2.77021 | − | 12.1371i | 0.202038 | − | 0.885187i | ||||
\(189\) | 3.39415 | + | 2.47798i | 0.246888 | + | 0.180247i | ||||
\(190\) | −0.0614421 | − | 0.269196i | −0.00445748 | − | 0.0195295i | ||||
\(191\) | 16.7303 | + | 15.5234i | 1.21056 | + | 1.12324i | 0.988973 | + | 0.148094i | \(0.0473139\pi\) |
0.221586 | + | 0.975141i | \(0.428877\pi\) | |||||||
\(192\) | 3.92967 | + | 0.592303i | 0.283600 | + | 0.0427458i | ||||
\(193\) | 3.87229 | − | 1.19444i | 0.278734 | − | 0.0859780i | −0.152237 | − | 0.988344i | \(-0.548648\pi\) |
0.430970 | + | 0.902366i | \(0.358171\pi\) | |||||||
\(194\) | −0.127899 | + | 1.70670i | −0.00918262 | + | 0.122534i | ||||
\(195\) | −0.445676 | −0.0319155 | ||||||||
\(196\) | −11.8261 | − | 0.763299i | −0.844723 | − | 0.0545214i | ||||
\(197\) | −14.5076 | −1.03362 | −0.516811 | − | 0.856100i | \(-0.672881\pi\) | ||||
−0.516811 | + | 0.856100i | \(0.672881\pi\) | |||||||
\(198\) | 0.149794 | − | 1.99887i | 0.0106454 | − | 0.142053i | ||||
\(199\) | −6.76797 | + | 2.08764i | −0.479769 | + | 0.147989i | −0.525201 | − | 0.850978i | \(-0.676010\pi\) |
0.0454320 | + | 0.998967i | \(0.485534\pi\) | |||||||
\(200\) | 9.09688 | + | 1.37113i | 0.643247 | + | 0.0969538i | ||||
\(201\) | 25.5653 | + | 23.7212i | 1.80324 | + | 1.67316i | ||||
\(202\) | 0.0284197 | + | 0.124515i | 0.00199961 | + | 0.00876085i | ||||
\(203\) | 13.5856 | − | 11.8143i | 0.953525 | − | 0.829198i | ||||
\(204\) | −2.70033 | + | 11.8309i | −0.189061 | + | 0.828330i | ||||
\(205\) | 0.888902 | − | 0.606043i | 0.0620836 | − | 0.0423279i | ||||
\(206\) | 0.594918 | − | 0.552003i | 0.0414499 | − | 0.0384599i | ||||
\(207\) | −0.680999 | − | 0.464297i | −0.0473327 | − | 0.0322709i | ||||
\(208\) | 0.543296 | − | 0.0818887i | 0.0376708 | − | 0.00567796i | ||||
\(209\) | −0.632228 | + | 0.304465i | −0.0437321 | + | 0.0210603i | ||||
\(210\) | 2.37419 | + | 1.23913i | 0.163835 | + | 0.0855078i | ||||
\(211\) | 21.7737 | + | 10.4857i | 1.49897 | + | 0.721864i | 0.990280 | − | 0.139088i | \(-0.0444170\pi\) |
0.508686 | + | 0.860952i | \(0.330131\pi\) | |||||||
\(212\) | −13.4180 | − | 4.13891i | −0.921552 | − | 0.284261i | ||||
\(213\) | 8.51486 | − | 21.6955i | 0.583428 | − | 1.48655i | ||||
\(214\) | −0.713985 | − | 1.23666i | −0.0488070 | − | 0.0845362i | ||||
\(215\) | −3.61753 | + | 6.26575i | −0.246713 | + | 0.427320i | ||||
\(216\) | 2.02654 | + | 2.54120i | 0.137888 | + | 0.172907i | ||||
\(217\) | 13.2168 | − | 8.40033i | 0.897214 | − | 0.570251i | ||||
\(218\) | −2.03577 | + | 2.55277i | −0.137880 | + | 0.172896i | ||||
\(219\) | 10.6493 | + | 27.1339i | 0.719611 | + | 1.83354i | ||||
\(220\) | 0.0898417 | + | 1.19885i | 0.00605713 | + | 0.0808267i | ||||
\(221\) | 0.0508027 | + | 0.677915i | 0.00341736 | + | 0.0456015i | ||||
\(222\) | 5.36912 | + | 13.6803i | 0.360352 | + | 0.918161i | ||||
\(223\) | 7.29544 | − | 9.14819i | 0.488539 | − | 0.612608i | −0.475063 | − | 0.879952i | \(-0.657575\pi\) |
0.963601 | + | 0.267344i | \(0.0861460\pi\) | |||||||
\(224\) | −13.3607 | − | 4.59767i | −0.892698 | − | 0.307195i | ||||
\(225\) | −10.1399 | − | 12.7150i | −0.675991 | − | 0.847666i | ||||
\(226\) | 1.90590 | − | 3.30112i | 0.126779 | − | 0.219587i | ||||
\(227\) | 0.321715 | + | 0.557227i | 0.0213530 | + | 0.0369845i | 0.876504 | − | 0.481394i | \(-0.159869\pi\) |
−0.855151 | + | 0.518378i | \(0.826536\pi\) | |||||||
\(228\) | 1.11649 | − | 2.84477i | 0.0739414 | − | 0.188400i | ||||
\(229\) | −2.49128 | − | 0.768459i | −0.164629 | − | 0.0507812i | 0.211345 | − | 0.977411i | \(-0.432216\pi\) |
−0.375974 | + | 0.926630i | \(0.622692\pi\) | |||||||
\(230\) | −0.0807753 | − | 0.0388993i | −0.00532616 | − | 0.00256495i | ||||
\(231\) | 1.72750 | − | 6.58316i | 0.113661 | − | 0.433140i | ||||
\(232\) | 12.5459 | − | 6.04179i | 0.823680 | − | 0.396663i | ||||
\(233\) | 20.9440 | − | 3.15680i | 1.37209 | − | 0.206809i | 0.578708 | − | 0.815535i | \(-0.303557\pi\) |
0.793381 | + | 0.608726i | \(0.208319\pi\) | |||||||
\(234\) | 0.404058 | + | 0.275482i | 0.0264141 | + | 0.0180088i | ||||
\(235\) | −3.82793 | + | 3.55180i | −0.249707 | + | 0.231694i | ||||
\(236\) | −16.8724 | + | 11.5034i | −1.09830 | + | 0.748807i | ||||
\(237\) | 0.842828 | − | 3.69267i | 0.0547476 | − | 0.239865i | ||||
\(238\) | 1.61419 | − | 3.75261i | 0.104633 | − | 0.243246i | ||||
\(239\) | −0.790476 | − | 3.46330i | −0.0511316 | − | 0.224022i | 0.942906 | − | 0.333059i | \(-0.108081\pi\) |
−0.994038 | + | 0.109036i | \(0.965224\pi\) | |||||||
\(240\) | −3.01573 | − | 2.79819i | −0.194664 | − | 0.180622i | ||||
\(241\) | 11.9417 | + | 1.79993i | 0.769234 | + | 0.115943i | 0.521923 | − | 0.852993i | \(-0.325215\pi\) |
0.247311 | + | 0.968936i | \(0.420453\pi\) | |||||||
\(242\) | −0.529493 | + | 0.163327i | −0.0340371 | + | 0.0104991i | ||||
\(243\) | −1.65686 | + | 22.1092i | −0.106287 | + | 1.41831i | ||||
\(244\) | −4.66913 | −0.298910 | ||||||||
\(245\) | 3.91825 | + | 3.05892i | 0.250328 | + | 0.195427i | ||||
\(246\) | −2.15951 | −0.137685 | ||||||||
\(247\) | 0.0127937 | − | 0.170720i | 0.000814046 | − | 0.0108627i | ||||
\(248\) | 11.5742 | − | 3.57015i | 0.734960 | − | 0.226705i | ||||
\(249\) | 31.0570 | + | 4.68110i | 1.96816 | + | 0.296652i | ||||
\(250\) | −2.73901 | − | 2.54143i | −0.173231 | − | 0.160734i | ||||
\(251\) | −3.75535 | − | 16.4532i | −0.237035 | − | 1.03852i | −0.943656 | − | 0.330927i | \(-0.892638\pi\) |
0.706621 | − | 0.707592i | \(-0.250219\pi\) | |||||||
\(252\) | 7.64523 | + | 14.2861i | 0.481604 | + | 0.899940i | ||||
\(253\) | −0.0507000 | + | 0.222131i | −0.00318748 | + | 0.0139653i | ||||
\(254\) | 1.54477 | − | 1.05320i | 0.0969273 | − | 0.0660839i | ||||
\(255\) | 3.73137 | − | 3.46221i | 0.233668 | − | 0.216812i | ||||
\(256\) | −2.72912 | − | 1.86068i | −0.170570 | − | 0.116293i | ||||
\(257\) | 11.7556 | − | 1.77187i | 0.733295 | − | 0.110526i | 0.228229 | − | 0.973607i | \(-0.426706\pi\) |
0.505066 | + | 0.863081i | \(0.331468\pi\) | |||||||
\(258\) | 13.0845 | − | 6.30118i | 0.814608 | − | 0.392295i | ||||
\(259\) | 5.20986 | + | 26.7758i | 0.323725 | + | 1.66377i | ||||
\(260\) | −0.264259 | − | 0.127261i | −0.0163887 | − | 0.00789236i | ||||
\(261\) | −23.5228 | − | 7.25582i | −1.45602 | − | 0.449124i | ||||
\(262\) | 1.60043 | − | 4.07783i | 0.0988749 | − | 0.251929i | ||||
\(263\) | 14.4532 | + | 25.0336i | 0.891220 | + | 1.54364i | 0.838415 | + | 0.545033i | \(0.183483\pi\) |
0.0528050 | + | 0.998605i | \(0.483184\pi\) | |||||||
\(264\) | 2.63201 | − | 4.55877i | 0.161989 | − | 0.280573i | ||||
\(265\) | 3.67233 | + | 4.60496i | 0.225589 | + | 0.282880i | ||||
\(266\) | −0.542814 | + | 0.873886i | −0.0332821 | + | 0.0535814i | ||||
\(267\) | −15.7415 | + | 19.7392i | −0.963361 | + | 1.20802i | ||||
\(268\) | 8.38526 | + | 21.3653i | 0.512211 | + | 1.30509i | ||||
\(269\) | 1.72519 | + | 23.0211i | 0.105187 | + | 1.40362i | 0.761026 | + | 0.648721i | \(0.224696\pi\) |
−0.655839 | + | 0.754901i | \(0.727685\pi\) | |||||||
\(270\) | −0.0467070 | − | 0.623261i | −0.00284250 | − | 0.0379305i | ||||
\(271\) | −11.0543 | − | 28.1658i | −0.671500 | − | 1.71095i | −0.702745 | − | 0.711442i | \(-0.748043\pi\) |
0.0312456 | − | 0.999512i | \(-0.490053\pi\) | |||||||
\(272\) | −3.91254 | + | 4.90617i | −0.237233 | + | 0.297480i | ||||
\(273\) | 1.18019 | + | 1.16804i | 0.0714285 | + | 0.0706933i | ||||
\(274\) | 5.46790 | + | 6.85653i | 0.330328 | + | 0.414218i | ||||
\(275\) | −2.24786 | + | 3.89341i | −0.135551 | + | 0.234781i | ||||
\(276\) | −0.496135 | − | 0.859331i | −0.0298638 | − | 0.0517256i | ||||
\(277\) | −8.05549 | + | 20.5251i | −0.484008 | + | 1.23323i | 0.455356 | + | 0.890309i | \(0.349512\pi\) |
−0.939364 | + | 0.342922i | \(0.888583\pi\) | |||||||
\(278\) | −7.80425 | − | 2.40729i | −0.468068 | − | 0.144380i | ||||
\(279\) | −19.2916 | − | 9.29034i | −1.15496 | − | 0.556198i | ||||
\(280\) | 2.29900 | + | 3.08154i | 0.137391 | + | 0.184157i | ||||
\(281\) | 16.4863 | − | 7.93938i | 0.983489 | − | 0.473623i | 0.128185 | − | 0.991750i | \(-0.459085\pi\) |
0.855304 | + | 0.518127i | \(0.173370\pi\) | |||||||
\(282\) | 10.3647 | − | 1.56223i | 0.617211 | − | 0.0930296i | ||||
\(283\) | −23.7195 | − | 16.1717i | −1.40998 | − | 0.961306i | −0.998761 | − | 0.0497676i | \(-0.984152\pi\) |
−0.411216 | − | 0.911538i | \(-0.634896\pi\) | |||||||
\(284\) | 11.2439 | − | 10.4328i | 0.667200 | − | 0.619071i | ||||
\(285\) | −1.05913 | + | 0.722104i | −0.0627376 | + | 0.0427738i | ||||
\(286\) | 0.0300819 | − | 0.131797i | 0.00177878 | − | 0.00779334i | ||||
\(287\) | −3.94224 | − | 0.724809i | −0.232703 | − | 0.0427841i | ||||
\(288\) | 4.29889 | + | 18.8347i | 0.253315 | + | 1.10984i | ||||
\(289\) | 6.77020 | + | 6.28182i | 0.398247 | + | 0.369519i | ||||
\(290\) | −2.64774 | − | 0.399082i | −0.155481 | − | 0.0234349i | ||||
\(291\) | 7.59251 | − | 2.34198i | 0.445081 | − | 0.137289i | ||||
\(292\) | −1.43357 | + | 19.1296i | −0.0838932 | + | 1.11948i | ||||
\(293\) | 3.67805 | 0.214874 | 0.107437 | − | 0.994212i | \(-0.465736\pi\) | ||||
0.107437 | + | 0.994212i | \(0.465736\pi\) | |||||||
\(294\) | −3.03953 | − | 9.50369i | −0.177269 | − | 0.554267i | ||||
\(295\) | 8.56562 | 0.498710 | ||||||||
\(296\) | −1.57663 | + | 21.0386i | −0.0916396 | + | 1.22285i | ||||
\(297\) | −1.51781 | + | 0.468183i | −0.0880724 | + | 0.0271667i | ||||
\(298\) | 5.50045 | + | 0.829060i | 0.318633 | + | 0.0480261i | ||||
\(299\) | −0.0407483 | − | 0.0378089i | −0.00235654 | − | 0.00218655i | ||||
\(300\) | −4.35675 | − | 19.0882i | −0.251537 | − | 1.10206i | ||||
\(301\) | 26.0011 | − | 7.11133i | 1.49868 | − | 0.409890i | ||||
\(302\) | 0.0813501 | − | 0.356418i | 0.00468117 | − | 0.0205096i | ||||
\(303\) | 0.489896 | − | 0.334006i | 0.0281438 | − | 0.0191881i | ||||
\(304\) | 1.15844 | − | 1.07488i | 0.0664413 | − | 0.0616485i | ||||
\(305\) | 1.61819 | + | 1.10326i | 0.0926573 | + | 0.0631727i | ||||
\(306\) | −5.52300 | + | 0.832459i | −0.315729 | + | 0.0475885i | ||||
\(307\) | −24.5423 | + | 11.8189i | −1.40070 | + | 0.674542i | −0.973304 | − | 0.229522i | \(-0.926284\pi\) |
−0.427398 | + | 0.904064i | \(0.640570\pi\) | |||||||
\(308\) | 2.90410 | − | 3.41014i | 0.165476 | − | 0.194311i | ||||
\(309\) | −3.39455 | − | 1.63473i | −0.193109 | − | 0.0929964i | ||||
\(310\) | −2.22561 | − | 0.686511i | −0.126406 | − | 0.0389912i | ||||
\(311\) | −8.49055 | + | 21.6336i | −0.481455 | + | 1.22673i | 0.459495 | + | 0.888180i | \(0.348030\pi\) |
−0.940950 | + | 0.338546i | \(0.890065\pi\) | |||||||
\(312\) | 0.642133 | + | 1.11221i | 0.0363536 | + | 0.0629663i | ||||
\(313\) | −5.33182 | + | 9.23498i | −0.301372 | + | 0.521992i | −0.976447 | − | 0.215757i | \(-0.930778\pi\) |
0.675075 | + | 0.737749i | \(0.264111\pi\) | |||||||
\(314\) | 0.00536874 | + | 0.00673218i | 0.000302975 | + | 0.000379919i | ||||
\(315\) | 0.726025 | − | 6.75765i | 0.0409069 | − | 0.380751i | ||||
\(316\) | 1.55417 | − | 1.94887i | 0.0874290 | − | 0.109632i | ||||
\(317\) | 7.44551 | + | 18.9708i | 0.418181 | + | 1.06551i | 0.972438 | + | 0.233163i | \(0.0749075\pi\) |
−0.554256 | + | 0.832346i | \(0.686997\pi\) | |||||||
\(318\) | −0.883516 | − | 11.7897i | −0.0495451 | − | 0.661134i | ||||
\(319\) | 0.508530 | + | 6.78587i | 0.0284722 | + | 0.379936i | ||||
\(320\) | −0.400795 | − | 1.02121i | −0.0224051 | − | 0.0570873i | ||||
\(321\) | −4.13331 | + | 5.18300i | −0.230699 | + | 0.289287i | ||||
\(322\) | 0.111952 | + | 0.314708i | 0.00623883 | + | 0.0175380i | ||||
\(323\) | 1.21912 | + | 1.52873i | 0.0678336 | + | 0.0850606i | ||||
\(324\) | −5.72760 | + | 9.92049i | −0.318200 | + | 0.551138i | ||||
\(325\) | −0.548413 | − | 0.949878i | −0.0304205 | − | 0.0526898i | ||||
\(326\) | 0.808954 | − | 2.06118i | 0.0448038 | − | 0.114158i | ||||
\(327\) | 14.4848 | + | 4.46796i | 0.801010 | + | 0.247079i | ||||
\(328\) | −2.79315 | − | 1.34511i | −0.154226 | − | 0.0742712i | ||||
\(329\) | 19.4454 | + | 0.626886i | 1.07206 | + | 0.0345613i | ||||
\(330\) | −0.911984 | + | 0.439188i | −0.0502031 | + | 0.0241765i | ||||
\(331\) | 2.45317 | − | 0.369756i | 0.134838 | − | 0.0203236i | −0.0812762 | − | 0.996692i | \(-0.525900\pi\) |
0.216115 | + | 0.976368i | \(0.430661\pi\) | |||||||
\(332\) | 17.0783 | + | 11.6438i | 0.937295 | + | 0.639037i | ||||
\(333\) | 27.3402 | − | 25.3680i | 1.49823 | − | 1.39016i | ||||
\(334\) | 2.36525 | − | 1.61260i | 0.129421 | − | 0.0882375i | ||||
\(335\) | 2.14229 | − | 9.38597i | 0.117046 | − | 0.512810i | ||||
\(336\) | 0.652337 | + | 15.3136i | 0.0355879 | + | 0.835426i | ||||
\(337\) | −2.92557 | − | 12.8178i | −0.159366 | − | 0.698227i | −0.989960 | − | 0.141349i | \(-0.954856\pi\) |
0.830594 | − | 0.556878i | \(-0.188001\pi\) | |||||||
\(338\) | −5.25632 | − | 4.87715i | −0.285906 | − | 0.265282i | ||||
\(339\) | −17.4986 | − | 2.63748i | −0.950391 | − | 0.143248i | ||||
\(340\) | 3.20110 | − | 0.987409i | 0.173604 | − | 0.0535498i | ||||
\(341\) | −0.442334 | + | 5.90253i | −0.0239537 | + | 0.319640i | ||||
\(342\) | 1.40658 | 0.0760590 | ||||||||
\(343\) | −2.35895 | − | 18.3694i | −0.127371 | − | 0.991855i | ||||
\(344\) | 20.8486 | 1.12408 | ||||||||
\(345\) | −0.0311038 | + | 0.415051i | −0.00167457 | + | 0.0223456i | ||||
\(346\) | 7.35313 | − | 2.26814i | 0.395307 | − | 0.121936i | ||||
\(347\) | −16.9525 | − | 2.55518i | −0.910059 | − | 0.137169i | −0.322705 | − | 0.946500i | \(-0.604592\pi\) |
−0.587354 | + | 0.809330i | \(0.699830\pi\) | |||||||
\(348\) | −21.7245 | − | 20.1573i | −1.16455 | − | 1.08055i | ||||
\(349\) | −2.42007 | − | 10.6030i | −0.129543 | − | 0.567566i | −0.997484 | − | 0.0708975i | \(-0.977414\pi\) |
0.867940 | − | 0.496668i | \(-0.165443\pi\) | |||||||
\(350\) | 0.280508 | + | 6.58493i | 0.0149938 | + | 0.351979i | ||||
\(351\) | 0.0862310 | − | 0.377803i | 0.00460267 | − | 0.0201656i | ||||
\(352\) | 4.41253 | − | 3.00841i | 0.235188 | − | 0.160349i | ||||
\(353\) | 15.6281 | − | 14.5007i | 0.831798 | − | 0.771796i | −0.144206 | − | 0.989548i | \(-0.546063\pi\) |
0.976004 | + | 0.217752i | \(0.0698723\pi\) | |||||||
\(354\) | −14.2060 | − | 9.68547i | −0.755039 | − | 0.514777i | ||||
\(355\) | −6.36196 | + | 0.958911i | −0.337658 | + | 0.0508937i | ||||
\(356\) | −14.9702 | + | 7.20925i | −0.793418 | + | 0.382090i | ||||
\(357\) | −18.9549 | − | 0.611073i | −1.00320 | − | 0.0323414i | ||||
\(358\) | 3.61464 | + | 1.74072i | 0.191040 | + | 0.0919999i | ||||
\(359\) | −23.4884 | − | 7.24520i | −1.23967 | − | 0.382387i | −0.395501 | − | 0.918466i | \(-0.629429\pi\) |
−0.844168 | + | 0.536079i | \(0.819905\pi\) | |||||||
\(360\) | 1.92048 | − | 4.89329i | 0.101218 | − | 0.257899i | ||||
\(361\) | 9.25379 | + | 16.0280i | 0.487042 | + | 0.843581i | ||||
\(362\) | −1.34049 | + | 2.32180i | −0.0704545 | + | 0.122031i | ||||
\(363\) | 1.60389 | + | 2.01122i | 0.0841825 | + | 0.105561i | ||||
\(364\) | 0.366254 | + | 1.02958i | 0.0191969 | + | 0.0539646i | ||||
\(365\) | 5.01696 | − | 6.29107i | 0.262600 | − | 0.329289i | ||||
\(366\) | −1.43625 | − | 3.65950i | −0.0750739 | − | 0.191285i | ||||
\(367\) | −0.965208 | − | 12.8798i | −0.0503834 | − | 0.672320i | −0.964027 | − | 0.265804i | \(-0.914363\pi\) |
0.913644 | − | 0.406516i | \(-0.133256\pi\) | |||||||
\(368\) | −0.0383450 | − | 0.511679i | −0.00199887 | − | 0.0266731i | ||||
\(369\) | 2.00223 | + | 5.10161i | 0.104232 | + | 0.265579i | ||||
\(370\) | 2.52944 | − | 3.17181i | 0.131499 | − | 0.164895i | ||||
\(371\) | 2.34417 | − | 21.8190i | 0.121703 | − | 1.13278i | ||||
\(372\) | −16.0722 | − | 20.1540i | −0.833307 | − | 1.04493i | ||||
\(373\) | 6.06212 | − | 10.4999i | 0.313885 | − | 0.543664i | −0.665315 | − | 0.746563i | \(-0.731703\pi\) |
0.979200 | + | 0.202898i | \(0.0650361\pi\) | |||||||
\(374\) | 0.772004 | + | 1.33715i | 0.0399194 | + | 0.0691424i | ||||
\(375\) | −6.33735 | + | 16.1473i | −0.327259 | + | 0.833843i | ||||
\(376\) | 14.3790 | + | 4.43534i | 0.741541 | + | 0.228735i | ||||
\(377\) | −1.49578 | − | 0.720332i | −0.0770368 | − | 0.0370990i | ||||
\(378\) | −1.50978 | + | 1.77287i | −0.0776549 | + | 0.0911864i | ||||
\(379\) | 30.7998 | − | 14.8324i | 1.58208 | − | 0.761889i | 0.583347 | − | 0.812223i | \(-0.301743\pi\) |
0.998732 | + | 0.0503342i | \(0.0160286\pi\) | |||||||
\(380\) | −0.834196 | + | 0.125735i | −0.0427934 | + | 0.00645006i | ||||
\(381\) | −7.17154 | − | 4.88947i | −0.367409 | − | 0.250495i | ||||
\(382\) | −9.27042 | + | 8.60169i | −0.474316 | + | 0.440101i | ||||
\(383\) | 2.88161 | − | 1.96465i | 0.147243 | − | 0.100389i | −0.487458 | − | 0.873147i | \(-0.662076\pi\) |
0.634701 | + | 0.772758i | \(0.281123\pi\) | |||||||
\(384\) | −6.60405 | + | 28.9342i | −0.337011 | + | 1.47654i | ||||
\(385\) | −1.81226 | + | 0.495655i | −0.0923612 | + | 0.0252609i | ||||
\(386\) | 0.499657 | + | 2.18914i | 0.0254319 | + | 0.111424i | ||||
\(387\) | −27.0175 | − | 25.0686i | −1.37338 | − | 1.27431i | ||||
\(388\) | 5.17065 | + | 0.779350i | 0.262500 | + | 0.0395655i | ||||
\(389\) | −6.95473 | + | 2.14525i | −0.352619 | + | 0.108769i | −0.466004 | − | 0.884783i | \(-0.654307\pi\) |
0.113385 | + | 0.993551i | \(0.463831\pi\) | |||||||
\(390\) | 0.0184549 | − | 0.246263i | 0.000934498 | − | 0.0124700i | ||||
\(391\) | 0.634878 | 0.0321071 | ||||||||
\(392\) | 1.98826 | − | 14.1855i | 0.100422 | − | 0.716476i | ||||
\(393\) | −20.3370 | −1.02587 | ||||||||
\(394\) | 0.600740 | − | 8.01632i | 0.0302648 | − | 0.403856i | ||||
\(395\) | −0.999129 | + | 0.308190i | −0.0502716 | + | 0.0155067i | ||||
\(396\) | −6.05582 | − | 0.912768i | −0.304316 | − | 0.0458683i | ||||
\(397\) | 11.5339 | + | 10.7019i | 0.578872 | + | 0.537114i | 0.914345 | − | 0.404935i | \(-0.132706\pi\) |
−0.335474 | + | 0.942050i | \(0.608896\pi\) | |||||||
\(398\) | −0.873297 | − | 3.82616i | −0.0437744 | − | 0.191788i | ||||
\(399\) | 4.69720 | + | 0.863615i | 0.235154 | + | 0.0432348i | ||||
\(400\) | 2.25293 | − | 9.87071i | 0.112646 | − | 0.493535i | ||||
\(401\) | −1.03332 | + | 0.704503i | −0.0516014 | + | 0.0351812i | −0.588846 | − | 0.808245i | \(-0.700418\pi\) |
0.537245 | + | 0.843426i | \(0.319465\pi\) | |||||||
\(402\) | −14.1660 | + | 13.1441i | −0.706537 | + | 0.655570i | ||||
\(403\) | −1.19316 | − | 0.813481i | −0.0594354 | − | 0.0405224i | ||||
\(404\) | 0.385853 | − | 0.0581580i | 0.0191969 | − | 0.00289347i | ||||
\(405\) | 4.32913 | − | 2.08480i | 0.215116 | − | 0.103594i | ||||
\(406\) | 5.96553 | + | 7.99611i | 0.296064 | + | 0.396840i | ||||
\(407\) | −9.28907 | − | 4.47338i | −0.460442 | − | 0.221737i | ||||
\(408\) | −14.0163 | − | 4.32346i | −0.693911 | − | 0.214043i | ||||
\(409\) | −10.9047 | + | 27.7846i | −0.539201 | + | 1.37386i | 0.358613 | + | 0.933486i | \(0.383250\pi\) |
−0.897814 | + | 0.440375i | \(0.854846\pi\) | |||||||
\(410\) | 0.298067 | + | 0.516268i | 0.0147205 | + | 0.0254967i | ||||
\(411\) | 20.3569 | − | 35.2591i | 1.00413 | − | 1.73920i | ||||
\(412\) | −1.54598 | − | 1.93859i | −0.0761648 | − | 0.0955076i | ||||
\(413\) | −22.6826 | − | 22.4491i | −1.11614 | − | 1.10465i | ||||
\(414\) | 0.284752 | − | 0.357067i | 0.0139948 | − | 0.0175489i | ||||
\(415\) | −3.16757 | − | 8.07084i | −0.155490 | − | 0.396182i | ||||
\(416\) | 0.0973678 | + | 1.29928i | 0.00477385 | + | 0.0637026i | ||||
\(417\) | 2.83343 | + | 37.8095i | 0.138754 | + | 1.85154i | ||||
\(418\) | −0.142056 | − | 0.361952i | −0.00694817 | − | 0.0177036i | ||||
\(419\) | 5.83248 | − | 7.31370i | 0.284935 | − | 0.357298i | −0.618679 | − | 0.785643i | \(-0.712332\pi\) |
0.903615 | + | 0.428346i | \(0.140903\pi\) | |||||||
\(420\) | 4.31737 | − | 6.95061i | 0.210666 | − | 0.339155i | ||||
\(421\) | 13.4911 | + | 16.9173i | 0.657516 | + | 0.824499i | 0.993070 | − | 0.117522i | \(-0.0374949\pi\) |
−0.335554 | + | 0.942021i | \(0.608924\pi\) | |||||||
\(422\) | −6.69560 | + | 11.5971i | −0.325937 | + | 0.564539i | ||||
\(423\) | −13.3005 | − | 23.0371i | −0.646692 | − | 1.12010i | ||||
\(424\) | 6.20078 | − | 15.7993i | 0.301137 | − | 0.767284i | ||||
\(425\) | 11.9706 | + | 3.69244i | 0.580660 | + | 0.179110i | ||||
\(426\) | 11.6355 | + | 5.60336i | 0.563742 | + | 0.271484i | ||||
\(427\) | −1.39365 | − | 7.16257i | −0.0674433 | − | 0.346621i | ||||
\(428\) | −3.93079 | + | 1.89297i | −0.190002 | + | 0.0915001i | ||||
\(429\) | −0.620591 | + | 0.0935391i | −0.0299624 | + | 0.00451611i | ||||
\(430\) | −3.31241 | − | 2.25836i | −0.159739 | − | 0.108908i | ||||
\(431\) | 10.4261 | − | 9.67404i | 0.502209 | − | 0.465982i | −0.387918 | − | 0.921694i | \(-0.626806\pi\) |
0.890127 | + | 0.455712i | \(0.150615\pi\) | |||||||
\(432\) | 2.95554 | − | 2.01505i | 0.142198 | − | 0.0969492i | ||||
\(433\) | 3.23806 | − | 14.1869i | 0.155611 | − | 0.681778i | −0.835583 | − | 0.549364i | \(-0.814870\pi\) |
0.991195 | − | 0.132414i | \(-0.0422728\pi\) | |||||||
\(434\) | 4.09440 | + | 7.65093i | 0.196538 | + | 0.367256i | ||||
\(435\) | 2.76613 | + | 12.1192i | 0.132626 | + | 0.581072i | ||||
\(436\) | 7.31281 | + | 6.78530i | 0.350220 | + | 0.324957i | ||||
\(437\) | −0.158097 | − | 0.0238292i | −0.00756279 | − | 0.00113991i | ||||
\(438\) | −15.4341 | + | 4.76079i | −0.737470 | + | 0.227479i | ||||
\(439\) | 2.06666 | − | 27.5777i | 0.0986364 | − | 1.31621i | −0.699890 | − | 0.714251i | \(-0.746768\pi\) |
0.798526 | − | 0.601960i | \(-0.205613\pi\) | |||||||
\(440\) | −1.45314 | −0.0692756 | ||||||||
\(441\) | −19.6333 | + | 15.9921i | −0.934920 | + | 0.761529i | ||||
\(442\) | −0.376693 | −0.0179175 | ||||||||
\(443\) | 0.203724 | − | 2.71851i | 0.00967923 | − | 0.129160i | −0.990271 | − | 0.139153i | \(-0.955562\pi\) |
0.999950 | + | 0.00999307i | \(0.00318095\pi\) | |||||||
\(444\) | 42.9061 | − | 13.2348i | 2.03623 | − | 0.628095i | ||||
\(445\) | 6.89171 | + | 1.03876i | 0.326699 | + | 0.0492419i | ||||
\(446\) | 4.75284 | + | 4.40999i | 0.225053 | + | 0.208819i | ||||
\(447\) | −5.74641 | − | 25.1767i | −0.271796 | − | 1.19082i | ||||
\(448\) | −1.61508 | + | 3.75468i | −0.0763055 | + | 0.177392i | ||||
\(449\) | −4.89836 | + | 21.4611i | −0.231168 | + | 1.01281i | 0.717505 | + | 0.696553i | \(0.245284\pi\) |
−0.948673 | + | 0.316259i | \(0.897573\pi\) | |||||||
\(450\) | 7.44569 | − | 5.07639i | 0.350993 | − | 0.239303i | ||||
\(451\) | 1.11057 | − | 1.03046i | 0.0522949 | − | 0.0485226i | ||||
\(452\) | −9.62248 | − | 6.56050i | −0.452604 | − | 0.308580i | ||||
\(453\) | −1.67826 | + | 0.252957i | −0.0788514 | + | 0.0118849i | ||||
\(454\) | −0.321224 | + | 0.154693i | −0.0150758 | + | 0.00726011i | ||||
\(455\) | 0.116345 | − | 0.443365i | 0.00545432 | − | 0.0207853i | ||||
\(456\) | 3.32805 | + | 1.60271i | 0.155850 | + | 0.0750536i | ||||
\(457\) | −7.40782 | − | 2.28501i | −0.346523 | − | 0.106888i | 0.116608 | − | 0.993178i | \(-0.462798\pi\) |
−0.463131 | + | 0.886290i | \(0.653274\pi\) | |||||||
\(458\) | 0.527782 | − | 1.34477i | 0.0246616 | − | 0.0628368i | ||||
\(459\) | 2.21298 | + | 3.83299i | 0.103293 | + | 0.178909i | ||||
\(460\) | −0.136959 | + | 0.237219i | −0.00638573 | + | 0.0110604i | ||||
\(461\) | 19.4530 | + | 24.3933i | 0.906018 | + | 1.13611i | 0.990199 | + | 0.139660i | \(0.0446010\pi\) |
−0.0841814 | + | 0.996450i | \(0.526828\pi\) | |||||||
\(462\) | 3.56606 | + | 1.22715i | 0.165908 | + | 0.0570922i | ||||
\(463\) | 14.8518 | − | 18.6236i | 0.690224 | − | 0.865513i | −0.306027 | − | 0.952023i | \(-0.599000\pi\) |
0.996251 | + | 0.0865096i | \(0.0275713\pi\) | |||||||
\(464\) | −5.59882 | − | 14.2656i | −0.259919 | − | 0.662262i | ||||
\(465\) | 0.808037 | + | 10.7825i | 0.0374718 | + | 0.500026i | ||||
\(466\) | 0.877061 | + | 11.7036i | 0.0406291 | + | 0.542157i | ||||
\(467\) | 10.9087 | + | 27.7949i | 0.504795 | + | 1.28620i | 0.925413 | + | 0.378959i | \(0.123718\pi\) |
−0.420619 | + | 0.907238i | \(0.638187\pi\) | |||||||
\(468\) | 0.931576 | − | 1.16816i | 0.0430621 | − | 0.0539982i | ||||
\(469\) | −30.2721 | + | 19.2403i | −1.39784 | + | 0.888437i | ||||
\(470\) | −1.80408 | − | 2.26224i | −0.0832159 | − | 0.104349i | ||||
\(471\) | 0.0199877 | − | 0.0346197i | 0.000920983 | − | 0.00159519i | ||||
\(472\) | −12.3414 | − | 21.3759i | −0.568059 | − | 0.983907i | ||||
\(473\) | −3.72225 | + | 9.48413i | −0.171149 | + | 0.436081i | ||||
\(474\) | 2.00553 | + | 0.618623i | 0.0921168 | + | 0.0284143i | ||||
\(475\) | −2.84232 | − | 1.36879i | −0.130415 | − | 0.0628043i | ||||
\(476\) | −11.0647 | − | 5.77482i | −0.507148 | − | 0.264688i | ||||
\(477\) | −27.0328 | + | 13.0183i | −1.23775 | + | 0.596067i | ||||
\(478\) | 1.94642 | − | 0.293375i | 0.0890271 | − | 0.0134187i | ||||
\(479\) | 6.65678 | + | 4.53851i | 0.304156 | + | 0.207370i | 0.705774 | − | 0.708437i | \(-0.250600\pi\) |
−0.401618 | + | 0.915807i | \(0.631552\pi\) | |||||||
\(480\) | 7.15150 | − | 6.63563i | 0.326420 | − | 0.302874i | ||||
\(481\) | 2.07829 | − | 1.41695i | 0.0947618 | − | 0.0646075i | ||||
\(482\) | −1.48906 | + | 6.52400i | −0.0678248 | + | 0.297160i | ||||
\(483\) | 1.17015 | − | 1.01758i | 0.0532436 | − | 0.0463014i | ||||
\(484\) | 0.376719 | + | 1.65052i | 0.0171236 | + | 0.0750234i | ||||
\(485\) | −1.60785 | − | 1.49187i | −0.0730087 | − | 0.0677422i | ||||
\(486\) | −12.1481 | − | 1.83103i | −0.551049 | − | 0.0830572i | ||||
\(487\) | −16.4072 | + | 5.06096i | −0.743483 | + | 0.229334i | −0.643278 | − | 0.765633i | \(-0.722426\pi\) |
−0.100205 | + | 0.994967i | \(0.531950\pi\) | |||||||
\(488\) | 0.421750 | − | 5.62787i | 0.0190917 | − | 0.254762i | ||||
\(489\) | −10.2796 | −0.464858 | ||||||||
\(490\) | −1.85249 | + | 2.03840i | −0.0836870 | + | 0.0920857i | ||||
\(491\) | −12.3643 | −0.557994 | −0.278997 | − | 0.960292i | \(-0.590002\pi\) | ||||
−0.278997 | + | 0.960292i | \(0.590002\pi\) | |||||||
\(492\) | −0.493061 | + | 6.57945i | −0.0222289 | + | 0.296624i | ||||
\(493\) | 18.1192 | − | 5.58902i | 0.816046 | − | 0.251717i | ||||
\(494\) | 0.0938037 | + | 0.0141386i | 0.00422043 | + | 0.000636127i | ||||
\(495\) | 1.88310 | + | 1.74726i | 0.0846391 | + | 0.0785336i | ||||
\(496\) | −2.96621 | − | 12.9958i | −0.133187 | − | 0.583529i | ||||
\(497\) | 19.3602 | + | 14.1344i | 0.868424 | + | 0.634014i | ||||
\(498\) | −3.87262 | + | 16.9671i | −0.173536 | + | 0.760313i | ||||
\(499\) | 21.5456 | − | 14.6896i | 0.964514 | − | 0.657595i | 0.0248495 | − | 0.999691i | \(-0.492089\pi\) |
0.939665 | + | 0.342096i | \(0.111137\pi\) | |||||||
\(500\) | −8.36845 | + | 7.76479i | −0.374249 | + | 0.347252i | ||||
\(501\) | −10.9806 | − | 7.48644i | −0.490577 | − | 0.334470i | ||||
\(502\) | 9.24693 | − | 1.39375i | 0.412711 | − | 0.0622061i | ||||
\(503\) | 21.6438 | − | 10.4231i | 0.965047 | − | 0.464742i | 0.116110 | − | 0.993236i | \(-0.462957\pi\) |
0.848937 | + | 0.528494i | \(0.177243\pi\) | |||||||
\(504\) | −17.9101 | + | 7.92464i | −0.797781 | + | 0.352992i | ||||
\(505\) | −0.147468 | − | 0.0710169i | −0.00656224 | − | 0.00316021i | ||||
\(506\) | −0.120642 | − | 0.0372130i | −0.00536317 | − | 0.00165432i | ||||
\(507\) | −12.1617 | + | 30.9875i | −0.540120 | + | 1.37620i | ||||
\(508\) | −2.85613 | − | 4.94697i | −0.126720 | − | 0.219486i | ||||
\(509\) | −9.64512 | + | 16.7058i | −0.427512 | + | 0.740473i | −0.996651 | − | 0.0817684i | \(-0.973943\pi\) |
0.569139 | + | 0.822241i | \(0.307277\pi\) | |||||||
\(510\) | 1.75857 | + | 2.20518i | 0.0778708 | + | 0.0976469i | ||||
\(511\) | −29.7733 | + | 3.51070i | −1.31709 | + | 0.155304i | ||||
\(512\) | −13.2453 | + | 16.6090i | −0.585364 | + | 0.734023i | ||||
\(513\) | −0.407208 | − | 1.03755i | −0.0179787 | − | 0.0458089i | ||||
\(514\) | 0.492283 | + | 6.56906i | 0.0217137 | + | 0.289749i | ||||
\(515\) | 0.0777244 | + | 1.03716i | 0.00342494 | + | 0.0457027i | ||||
\(516\) | −16.2106 | − | 41.3038i | −0.713630 | − | 1.81830i | ||||
\(517\) | −4.58483 | + | 5.74920i | −0.201641 | + | 0.252849i | ||||
\(518\) | −15.0110 | + | 1.77002i | −0.659545 | + | 0.0777700i | ||||
\(519\) | −22.2734 | − | 27.9300i | −0.977695 | − | 1.22599i | ||||
\(520\) | 0.177262 | − | 0.307026i | 0.00777343 | − | 0.0134640i | ||||
\(521\) | −8.24853 | − | 14.2869i | −0.361375 | − | 0.625919i | 0.626813 | − | 0.779170i | \(-0.284359\pi\) |
−0.988187 | + | 0.153251i | \(0.951026\pi\) | |||||||
\(522\) | 4.98333 | − | 12.6973i | 0.218115 | − | 0.555747i | ||||
\(523\) | −25.8414 | − | 7.97101i | −1.12997 | − | 0.348548i | −0.327266 | − | 0.944932i | \(-0.606127\pi\) |
−0.802699 | + | 0.596384i | \(0.796603\pi\) | |||||||
\(524\) | −12.0587 | − | 5.80714i | −0.526785 | − | 0.253686i | ||||
\(525\) | 27.9814 | − | 12.3808i | 1.22121 | − | 0.540344i | ||||
\(526\) | −14.4311 | + | 6.94964i | −0.629225 | + | 0.303019i | ||||
\(527\) | 16.3091 | − | 2.45820i | 0.710435 | − | 0.107081i | ||||
\(528\) | −4.78661 | − | 3.26345i | −0.208310 | − | 0.142024i | ||||
\(529\) | 16.8221 | − | 15.6087i | 0.731397 | − | 0.678638i | ||||
\(530\) | −2.69659 | + | 1.83850i | −0.117132 | + | 0.0798594i | ||||
\(531\) | −9.70952 | + | 42.5402i | −0.421357 | + | 1.84609i | ||||
\(532\) | 2.53856 | + | 1.85334i | 0.110061 | + | 0.0803523i | ||||
\(533\) | 0.0822473 | + | 0.360349i | 0.00356253 | + | 0.0156084i | ||||
\(534\) | −10.2553 | − | 9.51549i | −0.443788 | − | 0.411776i | ||||
\(535\) | 1.80959 | + | 0.272752i | 0.0782354 | + | 0.0117921i | ||||
\(536\) | −26.5098 | + | 8.17718i | −1.14505 | + | 0.353201i | ||||
\(537\) | 1.39188 | − | 18.5733i | 0.0600639 | − | 0.801497i | ||||
\(538\) | −12.7920 | −0.551503 | ||||||||
\(539\) | 6.09806 | + | 3.43710i | 0.262662 | + | 0.148046i | ||||
\(540\) | −1.90958 | −0.0821750 | ||||||||
\(541\) | −0.573393 | + | 7.65140i | −0.0246521 | + | 0.328959i | 0.971219 | + | 0.238186i | \(0.0765529\pi\) |
−0.995872 | + | 0.0907731i | \(0.971066\pi\) | |||||||
\(542\) | 16.0211 | − | 4.94185i | 0.688165 | − | 0.212271i | ||||
\(543\) | 12.3074 | + | 1.85503i | 0.528159 | + | 0.0796072i | ||||
\(544\) | −10.9086 | − | 10.1217i | −0.467703 | − | 0.433965i | ||||
\(545\) | −0.931127 | − | 4.07953i | −0.0398851 | − | 0.174748i | ||||
\(546\) | −0.694286 | + | 0.603761i | −0.0297127 | + | 0.0258386i | ||||
\(547\) | 9.35846 | − | 41.0021i | 0.400139 | − | 1.75312i | −0.226692 | − | 0.973967i | \(-0.572791\pi\) |
0.626831 | − | 0.779156i | \(-0.284352\pi\) | |||||||
\(548\) | 22.1385 | − | 15.0938i | 0.945709 | − | 0.644773i | ||||
\(549\) | −7.31353 | + | 6.78597i | −0.312134 | + | 0.289618i | ||||
\(550\) | −2.05827 | − | 1.40330i | −0.0877647 | − | 0.0598370i | ||||
\(551\) | −4.72179 | + | 0.711696i | −0.201155 | + | 0.0303193i | ||||
\(552\) | 1.08060 | − | 0.520388i | 0.0459932 | − | 0.0221492i | ||||
\(553\) | 3.45351 | + | 1.80244i | 0.146858 | + | 0.0766475i | ||||
\(554\) | −11.0078 | − | 5.30107i | −0.467676 | − | 0.225221i | ||||
\(555\) | −17.9973 | − | 5.55143i | −0.763943 | − | 0.235645i | ||||
\(556\) | −9.11625 | + | 23.2278i | −0.386615 | + | 0.985080i | ||||
\(557\) | 2.22395 | + | 3.85200i | 0.0942318 | + | 0.163214i | 0.909288 | − | 0.416168i | \(-0.136627\pi\) |
−0.815056 | + | 0.579382i | \(0.803294\pi\) | |||||||
\(558\) | 5.93232 | − | 10.2751i | 0.251135 | − | 0.434979i | ||||
\(559\) | −1.54979 | − | 1.94338i | −0.0655493 | − | 0.0821962i | ||||
\(560\) | 3.57094 | − | 2.26962i | 0.150900 | − | 0.0959091i | ||||
\(561\) | 4.46918 | − | 5.60418i | 0.188689 | − | 0.236609i | ||||
\(562\) | 3.70431 | + | 9.43844i | 0.156257 | + | 0.398136i | ||||
\(563\) | 3.16306 | + | 42.2081i | 0.133307 | + | 1.77886i | 0.517576 | + | 0.855637i | \(0.326835\pi\) |
−0.384269 | + | 0.923221i | \(0.625546\pi\) | |||||||
\(564\) | −2.39322 | − | 31.9353i | −0.100773 | − | 1.34472i | ||||
\(565\) | 1.78471 | + | 4.54737i | 0.0750834 | + | 0.191309i | ||||
\(566\) | 9.91803 | − | 12.4368i | 0.416886 | − | 0.522758i | ||||
\(567\) | −16.9279 | − | 5.82521i | −0.710904 | − | 0.244636i | ||||
\(568\) | 11.5594 | + | 14.4950i | 0.485020 | + | 0.608196i | ||||
\(569\) | 11.7404 | − | 20.3350i | 0.492184 | − | 0.852487i | −0.507776 | − | 0.861489i | \(-0.669532\pi\) |
0.999959 | + | 0.00900212i | \(0.00286550\pi\) | |||||||
\(570\) | −0.355149 | − | 0.615137i | −0.0148756 | − | 0.0257652i | ||||
\(571\) | −7.39818 | + | 18.8503i | −0.309604 | + | 0.788858i | 0.688377 | + | 0.725353i | \(0.258323\pi\) |
−0.997981 | + | 0.0635057i | \(0.979772\pi\) | |||||||
\(572\) | −0.394683 | − | 0.121744i | −0.0165025 | − | 0.00509036i | ||||
\(573\) | 52.8961 | + | 25.4734i | 2.20977 | + | 1.06417i | ||||
\(574\) | 0.563744 | − | 2.14831i | 0.0235302 | − | 0.0896689i | ||||
\(575\) | −0.922882 | + | 0.444436i | −0.0384868 | + | 0.0185343i | ||||
\(576\) | 5.52605 | − | 0.832917i | 0.230252 | − | 0.0347049i | ||||
\(577\) | 27.0822 | + | 18.4643i | 1.12745 | + | 0.768679i | 0.975563 | − | 0.219719i | \(-0.0705141\pi\) |
0.151882 | + | 0.988399i | \(0.451466\pi\) | |||||||
\(578\) | −3.75144 | + | 3.48082i | −0.156039 | + | 0.144783i | ||||
\(579\) | 8.61302 | − | 5.87226i | 0.357945 | − | 0.244043i | ||||
\(580\) | −1.82043 | + | 7.97584i | −0.0755894 | + | 0.331179i | ||||
\(581\) | −12.7643 | + | 29.6740i | −0.529554 | + | 1.23109i | ||||
\(582\) | 0.979690 | + | 4.29230i | 0.0406095 | + | 0.177922i | ||||
\(583\) | 6.08011 | + | 5.64152i | 0.251813 | + | 0.233648i | ||||
\(584\) | −22.9281 | − | 3.45586i | −0.948773 | − | 0.143005i | ||||
\(585\) | −0.598881 | + | 0.184730i | −0.0247607 | + | 0.00763766i | ||||
\(586\) | −0.152303 | + | 2.03235i | −0.00629159 | + | 0.0839555i | ||||
\(587\) | −19.7271 | −0.814225 | −0.407113 | − | 0.913378i | \(-0.633464\pi\) | ||||
−0.407113 | + | 0.913378i | \(0.633464\pi\) | |||||||
\(588\) | −29.6492 | + | 7.09074i | −1.22271 | + | 0.292417i | ||||
\(589\) | −4.15354 | −0.171144 | ||||||||
\(590\) | −0.354691 | + | 4.73303i | −0.0146024 | + | 0.194856i | ||||
\(591\) | −35.6619 | + | 11.0002i | −1.46693 | + | 0.452489i | ||||
\(592\) | 22.9594 | + | 3.46058i | 0.943626 | + | 0.142229i | ||||
\(593\) | 27.1682 | + | 25.2084i | 1.11567 | + | 1.03519i | 0.999118 | + | 0.0420018i | \(0.0133735\pi\) |
0.116548 | + | 0.993185i | \(0.462817\pi\) | |||||||
\(594\) | −0.195849 | − | 0.858071i | −0.00803579 | − | 0.0352071i | ||||
\(595\) | 2.47018 | + | 4.61585i | 0.101267 | + | 0.189231i | ||||
\(596\) | 3.78180 | − | 16.5691i | 0.154908 | − | 0.678698i | ||||
\(597\) | −15.0538 | + | 10.2635i | −0.616111 | + | 0.420057i | ||||
\(598\) | 0.0225791 | − | 0.0209503i | 0.000923327 | − | 0.000856722i | ||||
\(599\) | −22.8905 | − | 15.6065i | −0.935280 | − | 0.637663i | −0.00323090 | − | 0.999995i | \(-0.501028\pi\) |
−0.932049 | + | 0.362332i | \(0.881981\pi\) | |||||||
\(600\) | 23.4012 | − | 3.52716i | 0.955350 | − | 0.143996i | ||||
\(601\) | −32.5894 | + | 15.6942i | −1.32935 | + | 0.640182i | −0.957587 | − | 0.288146i | \(-0.906961\pi\) |
−0.371764 | + | 0.928327i | \(0.621247\pi\) | |||||||
\(602\) | 2.85277 | + | 14.6617i | 0.116270 | + | 0.597564i | ||||
\(603\) | 44.1860 | + | 21.2789i | 1.79939 | + | 0.866542i | ||||
\(604\) | −1.06734 | − | 0.329230i | −0.0434294 | − | 0.0133962i | ||||
\(605\) | 0.259438 | − | 0.661038i | 0.0105477 | − | 0.0268750i | ||||
\(606\) | 0.164272 | + | 0.284528i | 0.00667311 | + | 0.0115582i | ||||
\(607\) | 21.1715 | − | 36.6701i | 0.859324 | − | 1.48839i | −0.0132504 | − | 0.999912i | \(-0.504218\pi\) |
0.872575 | − | 0.488481i | \(-0.162449\pi\) | |||||||
\(608\) | 2.33655 | + | 2.92994i | 0.0947595 | + | 0.118825i | ||||
\(609\) | 24.4376 | − | 39.3425i | 0.990260 | − | 1.59424i | ||||
\(610\) | −0.676628 | + | 0.848465i | −0.0273959 | + | 0.0343533i | ||||
\(611\) | −0.655436 | − | 1.67002i | −0.0265161 | − | 0.0675620i | ||||
\(612\) | 1.27526 | + | 17.0172i | 0.0515494 | + | 0.687879i | ||||
\(613\) | −2.01143 | − | 26.8406i | −0.0812408 | − | 1.08408i | −0.877643 | − | 0.479315i | \(-0.840885\pi\) |
0.796402 | − | 0.604768i | \(-0.206734\pi\) | |||||||
\(614\) | −5.51442 | − | 14.0505i | −0.222544 | − | 0.567032i | ||||
\(615\) | 1.72553 | − | 2.16375i | 0.0695802 | − | 0.0872508i | ||||
\(616\) | 3.84804 | + | 3.80844i | 0.155042 | + | 0.153446i | ||||
\(617\) | 11.8388 | + | 14.8454i | 0.476613 | + | 0.597654i | 0.960777 | − | 0.277324i | \(-0.0894474\pi\) |
−0.484163 | + | 0.874978i | \(0.660876\pi\) | |||||||
\(618\) | 1.04385 | − | 1.80800i | 0.0419898 | − | 0.0727285i | ||||
\(619\) | 24.0462 | + | 41.6492i | 0.966498 | + | 1.67402i | 0.705537 | + | 0.708673i | \(0.250706\pi\) |
0.260961 | + | 0.965349i | \(0.415961\pi\) | |||||||
\(620\) | −2.59977 | + | 6.62411i | −0.104409 | + | 0.266031i | ||||
\(621\) | −0.345824 | − | 0.106673i | −0.0138774 | − | 0.00428062i | ||||
\(622\) | −11.6023 | − | 5.58736i | −0.465209 | − | 0.224033i | ||||
\(623\) | −15.5275 | − | 20.8128i | −0.622096 | − | 0.833848i | ||||
\(624\) | 1.27341 | − | 0.613244i | 0.0509774 | − | 0.0245494i | ||||
\(625\) | −17.4925 | + | 2.63657i | −0.699701 | + | 0.105463i | ||||
\(626\) | −4.88210 | − | 3.32856i | −0.195128 | − | 0.133036i | ||||
\(627\) | −1.32326 | + | 1.22780i | −0.0528458 | + | 0.0490337i | ||||
\(628\) | 0.0217370 | − | 0.0148200i | 0.000867400 | − | 0.000591383i | ||||
\(629\) | −6.39273 | + | 28.0084i | −0.254895 | + | 1.11677i | ||||
\(630\) | 3.70395 | + | 0.680999i | 0.147569 | + | 0.0271316i | ||||
\(631\) | 1.58870 | + | 6.96053i | 0.0632450 | + | 0.277095i | 0.996656 | − | 0.0817153i | \(-0.0260398\pi\) |
−0.933411 | + | 0.358810i | \(0.883183\pi\) | |||||||
\(632\) | 2.20866 | + | 2.04933i | 0.0878557 | + | 0.0815181i | ||||
\(633\) | 61.4739 | + | 9.26571i | 2.44337 | + | 0.368279i | ||||
\(634\) | −10.7909 | + | 3.32854i | −0.428560 | + | 0.132193i | ||||
\(635\) | −0.179057 | + | 2.38935i | −0.00710567 | + | 0.0948186i | ||||
\(636\) | −36.1218 | −1.43232 | ||||||||
\(637\) | −1.47008 | + | 0.869153i | −0.0582468 | + | 0.0344371i | ||||
\(638\) | −3.77066 | −0.149282 | ||||||||
\(639\) | 2.44925 | − | 32.6829i | 0.0968907 | − | 1.29292i | ||||
\(640\) | 7.82875 | − | 2.41485i | 0.309459 | − | 0.0954554i | ||||
\(641\) | −13.3546 | − | 2.01288i | −0.527473 | − | 0.0795038i | −0.120093 | − | 0.992763i | \(-0.538319\pi\) |
−0.407380 | + | 0.913259i | \(0.633558\pi\) | |||||||
\(642\) | −2.69277 | − | 2.49853i | −0.106275 | − | 0.0986090i | ||||
\(643\) | −6.73133 | − | 29.4919i | −0.265458 | − | 1.16305i | −0.915235 | − | 0.402921i | \(-0.867995\pi\) |
0.649777 | − | 0.760125i | \(-0.274862\pi\) | |||||||
\(644\) | 0.984393 | − | 0.269233i | 0.0387905 | − | 0.0106093i | ||||
\(645\) | −4.14151 | + | 18.1451i | −0.163072 | + | 0.714464i | ||||
\(646\) | −0.895197 | + | 0.610335i | −0.0352211 | + | 0.0240133i | ||||
\(647\) | 10.2037 | − | 9.46763i | 0.401148 | − | 0.372211i | −0.453643 | − | 0.891184i | \(-0.649876\pi\) |
0.854791 | + | 0.518973i | \(0.173685\pi\) | |||||||
\(648\) | −11.4402 | − | 7.79977i | −0.449412 | − | 0.306404i | ||||
\(649\) | 11.9274 | − | 1.79776i | 0.468191 | − | 0.0705684i | ||||
\(650\) | 0.547575 | − | 0.263698i | 0.0214777 | − | 0.0103431i | ||||
\(651\) | 26.1194 | − | 30.6708i | 1.02370 | − | 1.20208i | ||||
\(652\) | −6.09517 | − | 2.93528i | −0.238705 | − | 0.114954i | ||||
\(653\) | 14.3954 | + | 4.44038i | 0.563334 | + | 0.173765i | 0.563326 | − | 0.826235i | \(-0.309521\pi\) |
7.52954e−6 | 1.00000i | \(0.499998\pi\) | ||||||||
\(654\) | −3.06862 | + | 7.81872i | −0.119993 | + | 0.305736i | ||||
\(655\) | 2.80703 | + | 4.86192i | 0.109680 | + | 0.189971i | ||||
\(656\) | −1.70592 | + | 2.95474i | −0.0666051 | + | 0.115363i | ||||
\(657\) | 25.5569 | + | 32.0474i | 0.997071 | + | 1.25029i | ||||
\(658\) | −1.15160 | + | 10.7188i | −0.0448942 | + | 0.417863i | ||||
\(659\) | 3.73252 | − | 4.68043i | 0.145398 | − | 0.182324i | −0.703799 | − | 0.710399i | \(-0.748515\pi\) |
0.849198 | + | 0.528075i | \(0.177086\pi\) | |||||||
\(660\) | 1.12986 | + | 2.87885i | 0.0439799 | + | 0.112059i | ||||
\(661\) | 2.63026 | + | 35.0984i | 0.102305 | + | 1.36517i | 0.778128 | + | 0.628106i | \(0.216170\pi\) |
−0.675823 | + | 0.737064i | \(0.736211\pi\) | |||||||
\(662\) | 0.102730 | + | 1.37084i | 0.00399272 | + | 0.0532791i | ||||
\(663\) | 0.638903 | + | 1.62790i | 0.0248130 | + | 0.0632224i | ||||
\(664\) | −15.5773 | + | 19.5334i | −0.604518 | + | 0.758041i | ||||
\(665\) | −0.441872 | − | 1.24215i | −0.0171351 | − | 0.0481685i | ||||
\(666\) | 12.8852 | + | 16.1576i | 0.499292 | + | 0.626093i | ||||
\(667\) | −0.775226 | + | 1.34273i | −0.0300169 | + | 0.0519907i | ||||
\(668\) | −4.37312 | − | 7.57447i | −0.169201 | − | 0.293065i | ||||
\(669\) | 10.9968 | − | 28.0194i | 0.425161 | − | 1.08329i | ||||
\(670\) | 5.09761 | + | 1.57240i | 0.196938 | + | 0.0607473i | ||||
\(671\) | 2.48484 | + | 1.19664i | 0.0959262 | + | 0.0461956i | ||||
\(672\) | −36.3288 | − | 1.17117i | −1.40141 | − | 0.0451791i | ||||
\(673\) | −12.0766 | + | 5.81576i | −0.465517 | + | 0.224181i | −0.651913 | − | 0.758293i | \(-0.726033\pi\) |
0.186396 | + | 0.982475i | \(0.440319\pi\) | |||||||
\(674\) | 7.20373 | − | 1.08579i | 0.277477 | − | 0.0418230i | ||||
\(675\) | −5.90010 | − | 4.02262i | −0.227095 | − | 0.154831i | ||||
\(676\) | −16.0595 | + | 14.9010i | −0.617673 | + | 0.573117i | ||||
\(677\) | 32.6978 | − | 22.2930i | 1.25668 | − | 0.856790i | 0.262543 | − | 0.964920i | \(-0.415439\pi\) |
0.994137 | + | 0.108131i | \(0.0344865\pi\) | |||||||
\(678\) | 2.18196 | − | 9.55981i | 0.0837978 | − | 0.367142i | ||||
\(679\) | 0.347797 | + | 8.16453i | 0.0133472 | + | 0.313326i | ||||
\(680\) | 0.901012 | + | 3.94759i | 0.0345522 | + | 0.151383i | ||||
\(681\) | 1.21334 | + | 1.12581i | 0.0464952 | + | 0.0431413i | ||||
\(682\) | −3.24319 | − | 0.488833i | −0.124188 | − | 0.0187184i | ||||
\(683\) | −34.8074 | + | 10.7367i | −1.33187 | + | 0.410827i | −0.877325 | − | 0.479897i | \(-0.840674\pi\) |
−0.454544 | + | 0.890724i | \(0.650198\pi\) | |||||||
\(684\) | 0.321152 | − | 4.28547i | 0.0122795 | − | 0.163859i | ||||
\(685\) | −11.2391 | −0.429423 | ||||||||
\(686\) | 10.2479 | − | 0.542810i | 0.391267 | − | 0.0207246i | ||||
\(687\) | −6.70664 | −0.255874 | ||||||||
\(688\) | 1.71466 | − | 22.8806i | 0.0653709 | − | 0.872314i | ||||
\(689\) | −1.93365 | + | 0.596453i | −0.0736664 | + | 0.0227231i | ||||
\(690\) | −0.228053 | − | 0.0343735i | −0.00868184 | − | 0.00130858i | ||||
\(691\) | −28.9619 | − | 26.8727i | −1.10176 | − | 1.02229i | −0.999621 | − | 0.0275167i | \(-0.991240\pi\) |
−0.102142 | − | 0.994770i | \(-0.532569\pi\) | |||||||
\(692\) | −5.23155 | − | 22.9209i | −0.198874 | − | 0.871322i | ||||
\(693\) | −0.407337 | − | 9.56223i | −0.0154734 | − | 0.363239i | ||||
\(694\) | 2.11388 | − | 9.26150i | 0.0802416 | − | 0.351562i | ||||
\(695\) | 8.64792 | − | 5.89605i | 0.328034 | − | 0.223650i | ||||
\(696\) | 26.2587 | − | 24.3645i | 0.995333 | − | 0.923534i | ||||
\(697\) | −3.48796 | − | 2.37805i | −0.132116 | − | 0.0900751i | ||||
\(698\) | 5.95902 | − | 0.898178i | 0.225552 | − | 0.0339965i | ||||
\(699\) | 49.0901 | − | 23.6405i | 1.85676 | − | 0.894167i | ||||
\(700\) | 20.1266 | + | 0.648845i | 0.760713 | + | 0.0245240i | ||||
\(701\) | −37.4636 | − | 18.0415i | −1.41498 | − | 0.681418i | −0.438840 | − | 0.898565i | \(-0.644611\pi\) |
−0.976139 | + | 0.217147i | \(0.930325\pi\) | |||||||
\(702\) | 0.205188 | + | 0.0632922i | 0.00774433 | + | 0.00238881i | ||||
\(703\) | 2.64317 | − | 6.73468i | 0.0996889 | − | 0.254003i | ||||
\(704\) | −0.772429 | − | 1.33789i | −0.0291120 | − | 0.0504235i | ||||
\(705\) | −6.71653 | + | 11.6334i | −0.252959 | + | 0.438138i | ||||
\(706\) | 7.36540 | + | 9.23592i | 0.277200 | + | 0.347598i | ||||
\(707\) | 0.204386 | + | 0.574550i | 0.00768671 | + | 0.0216082i | ||||
\(708\) | −32.7526 | + | 41.0704i | −1.23092 | + | 1.54352i | ||||
\(709\) | −5.64643 | − | 14.3869i | −0.212056 | − | 0.540310i | 0.784782 | − | 0.619772i | \(-0.212775\pi\) |
−0.996838 | + | 0.0794622i | \(0.974680\pi\) | |||||||
\(710\) | −0.266416 | − | 3.55508i | −0.00999842 | − | 0.133420i | ||||
\(711\) | −0.398035 | − | 5.31141i | −0.0149275 | − | 0.199194i | ||||
\(712\) | −7.33735 | − | 18.6953i | −0.274979 | − | 0.700635i | ||||
\(713\) | −0.840854 | + | 1.05440i | −0.0314902 | + | 0.0394875i | ||||
\(714\) | 1.12255 | − | 10.4485i | 0.0420106 | − | 0.391024i | ||||
\(715\) | 0.108020 | + | 0.135452i | 0.00403971 | + | 0.00506563i | ||||
\(716\) | 6.12881 | − | 10.6154i | 0.229045 | − | 0.396717i | ||||
\(717\) | −4.56913 | − | 7.91396i | −0.170637 | − | 0.295552i | ||||
\(718\) | 4.97604 | − | 12.6787i | 0.185704 | − | 0.473166i | ||||
\(719\) | −29.0030 | − | 8.94624i | −1.08163 | − | 0.333639i | −0.297809 | − | 0.954626i | \(-0.596256\pi\) |
−0.783821 | + | 0.620987i | \(0.786732\pi\) | |||||||
\(720\) | −5.21225 | − | 2.51009i | −0.194249 | − | 0.0935455i | ||||
\(721\) | 2.51241 | − | 2.95020i | 0.0935669 | − | 0.109871i | ||||
\(722\) | −9.23966 | + | 4.44959i | −0.343865 | + | 0.165596i | ||||
\(723\) | 30.7194 | − | 4.63020i | 1.14247 | − | 0.172199i | ||||
\(724\) | 6.76783 | + | 4.61423i | 0.251525 | + | 0.171487i | ||||
\(725\) | −22.4262 | + | 20.8085i | −0.832888 | + | 0.772807i | ||||
\(726\) | −1.17774 | + | 0.802966i | −0.0437098 | + | 0.0298009i | ||||
\(727\) | 0.962620 | − | 4.21752i | 0.0357016 | − | 0.156419i | −0.953935 | − | 0.300013i | \(-0.903009\pi\) |
0.989637 | + | 0.143594i | \(0.0458660\pi\) | |||||||
\(728\) | −1.27407 | + | 0.348460i | −0.0472202 | + | 0.0129148i | ||||
\(729\) | 8.17433 | + | 35.8141i | 0.302753 | + | 1.32645i | ||||
\(730\) | 3.26845 | + | 3.03268i | 0.120971 | + | 0.112245i | ||||
\(731\) | 28.0725 | + | 4.23126i | 1.03830 | + | 0.156499i | ||||
\(732\) | −11.4774 | + | 3.54032i | −0.424219 | + | 0.130854i | ||||
\(733\) | 0.631673 | − | 8.42909i | 0.0233314 | − | 0.311336i | −0.973313 | − | 0.229482i | \(-0.926297\pi\) |
0.996644 | − | 0.0818539i | \(-0.0260841\pi\) | |||||||
\(734\) | 7.15684 | 0.264164 | ||||||||
\(735\) | 11.9511 | + | 4.54833i | 0.440822 | + | 0.167768i | ||||
\(736\) | 1.21680 | 0.0448518 | ||||||||
\(737\) | 1.01313 | − | 13.5193i | 0.0373192 | − | 0.497991i | ||||
\(738\) | −2.90186 | + | 0.895106i | −0.106819 | + | 0.0329493i | ||||
\(739\) | −38.7215 | − | 5.83633i | −1.42439 | − | 0.214693i | −0.608803 | − | 0.793322i | \(-0.708350\pi\) |
−0.815591 | + | 0.578629i | \(0.803588\pi\) | |||||||
\(740\) | −9.08614 | − | 8.43071i | −0.334013 | − | 0.309919i | ||||
\(741\) | −0.0979982 | − | 0.429358i | −0.00360005 | − | 0.0157729i | ||||
\(742\) | 11.9592 | + | 2.19879i | 0.439037 | + | 0.0807202i | ||||
\(743\) | −2.92950 | + | 12.8350i | −0.107473 | + | 0.470870i | 0.892337 | + | 0.451370i | \(0.149065\pi\) |
−0.999810 | + | 0.0195002i | \(0.993793\pi\) | |||||||
\(744\) | 25.7440 | − | 17.5520i | 0.943823 | − | 0.643487i | ||||
\(745\) | −5.22577 | + | 4.84880i | −0.191457 | + | 0.177646i | ||||
\(746\) | 5.55081 | + | 3.78448i | 0.203230 | + | 0.138560i | ||||
\(747\) | 43.6735 | − | 6.58272i | 1.59793 | − | 0.240849i | ||||
\(748\) | 4.25021 | − | 2.04679i | 0.155403 | − | 0.0748381i | ||||
\(749\) | −4.07713 | − | 5.46492i | −0.148975 | − | 0.199684i | ||||
\(750\) | −8.65994 | − | 4.17041i | −0.316216 | − | 0.152282i | ||||
\(751\) | −46.7255 | − | 14.4129i | −1.70504 | − | 0.525935i | −0.719370 | − | 0.694627i | \(-0.755569\pi\) |
−0.985669 | + | 0.168692i | \(0.946046\pi\) | |||||||
\(752\) | 6.05019 | − | 15.4156i | 0.220628 | − | 0.562150i | ||||
\(753\) | −21.7067 | − | 37.5972i | −0.791038 | − | 1.37012i | ||||
\(754\) | 0.459966 | − | 0.796684i | 0.0167510 | − | 0.0290135i | ||||
\(755\) | 0.292116 | + | 0.366302i | 0.0106312 | + | 0.0133311i | ||||
\(756\) | 5.05674 | + | 5.00469i | 0.183912 | + | 0.182019i | ||||
\(757\) | 17.4636 | − | 21.8986i | 0.634724 | − | 0.795918i | −0.355608 | − | 0.934635i | \(-0.615726\pi\) |
0.990332 | + | 0.138717i | \(0.0442977\pi\) | |||||||
\(758\) | 6.92043 | + | 17.6330i | 0.251361 | + | 0.640458i | ||||
\(759\) | 0.0438004 | + | 0.584476i | 0.00158985 | + | 0.0212151i | ||||
\(760\) | −0.0762019 | − | 1.01684i | −0.00276413 | − | 0.0368848i | ||||
\(761\) | 8.27026 | + | 21.0723i | 0.299797 | + | 0.763870i | 0.998810 | + | 0.0487616i | \(0.0155274\pi\) |
−0.699014 | + | 0.715108i | \(0.746377\pi\) | |||||||
\(762\) | 2.99870 | − | 3.76025i | 0.108631 | − | 0.136219i | ||||
\(763\) | −8.22609 | + | 13.2433i | −0.297804 | + | 0.479441i | ||||
\(764\) | 24.0904 | + | 30.2084i | 0.871561 | + | 1.09290i | ||||
\(765\) | 3.57900 | − | 6.19902i | 0.129399 | − | 0.224126i | ||||
\(766\) | 0.966264 | + | 1.67362i | 0.0349125 | + | 0.0604703i | ||||
\(767\) | −1.07513 | + | 2.73938i | −0.0388206 | + | 0.0989132i | ||||
\(768\) | −8.11945 | − | 2.50452i | −0.292985 | − | 0.0903740i | ||||
\(769\) | −3.25720 | − | 1.56858i | −0.117458 | − | 0.0565646i | 0.374232 | − | 0.927335i | \(-0.377906\pi\) |
−0.491690 | + | 0.870770i | \(0.663621\pi\) | |||||||
\(770\) | −0.198836 | − | 1.02191i | −0.00716556 | − | 0.0368270i | ||||
\(771\) | 27.5536 | − | 13.2691i | 0.992319 | − | 0.477876i | ||||
\(772\) | 6.78381 | − | 1.02249i | 0.244155 | − | 0.0368004i | ||||
\(773\) | 12.6584 | + | 8.63038i | 0.455292 | + | 0.310413i | 0.769163 | − | 0.639053i | \(-0.220673\pi\) |
−0.313871 | + | 0.949466i | \(0.601626\pi\) | |||||||
\(774\) | 14.9707 | − | 13.8908i | 0.538110 | − | 0.499293i | ||||
\(775\) | −21.9867 | + | 14.9903i | −0.789784 | + | 0.538466i | ||||
\(776\) | −1.40643 | + | 6.16197i | −0.0504879 | + | 0.221202i | ||||
\(777\) | 33.1091 | + | 61.8687i | 1.18778 | + | 2.21953i | ||||
\(778\) | −0.897396 | − | 3.93175i | −0.0321732 | − | 0.140960i | ||||
\(779\) | 0.779312 | + | 0.723096i | 0.0279217 | + | 0.0259076i | ||||
\(780\) | −0.746085 | − | 0.112454i | −0.0267141 | − | 0.00402650i | ||||
\(781\) | −8.65759 | + | 2.67051i | −0.309793 | + | 0.0955585i | ||||
\(782\) | −0.0262895 | + | 0.350809i | −0.000940110 | + | 0.0125449i | ||||
\(783\) | −10.8088 | −0.386273 | ||||||||
\(784\) | −15.4045 | − | 3.34870i | −0.550161 | − | 0.119596i | ||||
\(785\) | −0.0110352 | −0.000393865 | ||||||||
\(786\) | 0.842131 | − | 11.2375i | 0.0300378 | − | 0.400827i | ||||
\(787\) | −24.4788 | + | 7.55072i | −0.872576 | + | 0.269154i | −0.698528 | − | 0.715583i | \(-0.746161\pi\) |
−0.174049 | + | 0.984737i | \(0.555685\pi\) | |||||||
\(788\) | −24.2864 | − | 3.66059i | −0.865168 | − | 0.130403i | ||||
\(789\) | 54.5096 | + | 50.5775i | 1.94059 | + | 1.80061i | ||||
\(790\) | −0.128921 | − | 0.564842i | −0.00458682 | − | 0.0200962i | ||||
\(791\) | 7.19185 | − | 16.7193i | 0.255713 | − | 0.594471i | ||||
\(792\) | 1.64720 | − | 7.21684i | 0.0585306 | − | 0.256439i | ||||
\(793\) | −0.555946 | + | 0.379037i | −0.0197422 | + | 0.0134600i | ||||
\(794\) | −6.39107 | + | 5.93005i | −0.226811 | + | 0.210450i | ||||
\(795\) | 12.5188 | + | 8.53519i | 0.443997 | + | 0.302712i | ||||
\(796\) | −11.8567 | + | 1.78711i | −0.420250 | + | 0.0633424i | ||||
\(797\) | 15.7215 | − | 7.57107i | 0.556884 | − | 0.268181i | −0.134202 | − | 0.990954i | \(-0.542847\pi\) |
0.691086 | + | 0.722773i | \(0.257133\pi\) | |||||||
\(798\) | −0.671705 | + | 2.55973i | −0.0237781 | + | 0.0906135i | ||||
\(799\) | 18.4611 | + | 8.89039i | 0.653106 | + | 0.314519i | ||||
\(800\) | 22.9427 | + | 7.07689i | 0.811148 | + | 0.250206i | ||||
\(801\) | −12.9710 | + | 33.0495i | −0.458306 | + | 1.16775i | ||||
\(802\) | −0.346493 | − | 0.600143i | −0.0122351 | − | 0.0211918i | ||||
\(803\) | 5.66560 | − | 9.81310i | 0.199935 | − | 0.346297i | ||||
\(804\) | 36.8123 | + | 46.1612i | 1.29827 | + | 1.62798i | ||||
\(805\) | −0.404780 | − | 0.139293i | −0.0142666 | − | 0.00490942i | ||||
\(806\) | 0.498905 | − | 0.625608i | 0.0175732 | − | 0.0220361i | ||||
\(807\) | 21.6963 | + | 55.2814i | 0.763747 | + | 1.94600i | ||||
\(808\) | 0.0352468 | + | 0.470336i | 0.00123998 | + | 0.0165464i | ||||
\(809\) | −1.73914 | − | 23.2073i | −0.0611450 | − | 0.815924i | −0.940508 | − | 0.339772i | \(-0.889650\pi\) |
0.879363 | − | 0.476152i | \(-0.157969\pi\) | |||||||
\(810\) | 0.972715 | + | 2.47844i | 0.0341777 | + | 0.0870834i | ||||
\(811\) | −31.8069 | + | 39.8846i | −1.11689 | + | 1.40054i | −0.210762 | + | 0.977537i | \(0.567594\pi\) |
−0.906130 | + | 0.423000i | \(0.860977\pi\) | |||||||
\(812\) | 25.7241 | − | 16.3497i | 0.902738 | − | 0.573763i | ||||
\(813\) | −48.5296 | − | 60.8542i | −1.70201 | − | 2.13425i | ||||
\(814\) | 2.85646 | − | 4.94754i | 0.100119 | − | 0.173411i | ||||
\(815\) | 1.41884 | + | 2.45751i | 0.0496999 | + | 0.0860827i | ||||
\(816\) | −5.89758 | + | 15.0268i | −0.206457 | + | 0.526043i | ||||
\(817\) | −6.83179 | − | 2.10733i | −0.239014 | − | 0.0737260i | ||||
\(818\) | −14.9012 | − | 7.17602i | −0.521007 | − | 0.250904i | ||||
\(819\) | 2.07004 | + | 1.08039i | 0.0723332 | + | 0.0377518i | ||||
\(820\) | 1.64099 | − | 0.790258i | 0.0573057 | − | 0.0275970i | ||||
\(821\) | 25.5968 | − | 3.85810i | 0.893335 | − | 0.134649i | 0.313697 | − | 0.949523i | \(-0.398432\pi\) |
0.579637 | + | 0.814874i | \(0.303194\pi\) | |||||||
\(822\) | 18.6399 | + | 12.7084i | 0.650140 | + | 0.443258i | ||||
\(823\) | −5.09132 | + | 4.72406i | −0.177472 | + | 0.164670i | −0.763907 | − | 0.645326i | \(-0.776721\pi\) |
0.586435 | + | 0.809996i | \(0.300531\pi\) | |||||||
\(824\) | 2.47630 | − | 1.68831i | 0.0862659 | − | 0.0588151i | ||||
\(825\) | −2.57345 | + | 11.2750i | −0.0895961 | + | 0.392546i | ||||
\(826\) | 13.3438 | − | 11.6039i | 0.464289 | − | 0.403752i | ||||
\(827\) | −3.65474 | − | 16.0125i | −0.127088 | − | 0.556808i | −0.997876 | − | 0.0651490i | \(-0.979248\pi\) |
0.870788 | − | 0.491659i | \(-0.163609\pi\) | |||||||
\(828\) | −1.02287 | − | 0.949089i | −0.0355474 | − | 0.0329831i | ||||
\(829\) | −0.134545 | − | 0.0202794i | −0.00467294 | − | 0.000704333i | 0.146705 | − | 0.989180i | \(-0.453133\pi\) |
−0.151378 | + | 0.988476i | \(0.548371\pi\) | |||||||
\(830\) | 4.59080 | − | 1.41607i | 0.159349 | − | 0.0491526i | ||||
\(831\) | −4.23872 | + | 56.5618i | −0.147040 | + | 1.96211i | ||||
\(832\) | 0.376901 | 0.0130667 | ||||||||
\(833\) | 5.55613 | − | 18.6972i | 0.192509 | − | 0.647818i | ||||
\(834\) | −21.0094 | −0.727495 | ||||||||
\(835\) | −0.274161 | + | 3.65842i | −0.00948773 | + | 0.126605i | ||||
\(836\) | −1.13521 | + | 0.350165i | −0.0392619 | + | 0.0121107i | ||||
\(837\) | −9.29674 | − | 1.40126i | −0.321342 | − | 0.0484346i | ||||
\(838\) | 3.79975 | + | 3.52565i | 0.131260 | + | 0.121792i | ||||
\(839\) | −8.24194 | − | 36.1103i | −0.284543 | − | 1.24667i | −0.891899 | − | 0.452236i | \(-0.850627\pi\) |
0.607355 | − | 0.794430i | \(-0.292231\pi\) | |||||||
\(840\) | 7.98783 | + | 5.83171i | 0.275606 | + | 0.201213i | ||||
\(841\) | −3.85108 | + | 16.8727i | −0.132796 | + | 0.581816i | ||||
\(842\) | −9.90650 | + | 6.75414i | −0.341400 | + | 0.232763i | ||||
\(843\) | 34.5059 | − | 32.0168i | 1.18845 | − | 1.10272i | ||||
\(844\) | 33.8046 | + | 23.0476i | 1.16360 | + | 0.793331i | ||||
\(845\) | 9.08673 | − | 1.36960i | 0.312593 | − | 0.0471158i | ||||
\(846\) | 13.2802 | − | 6.39540i | 0.456582 | − | 0.219878i | ||||
\(847\) | −2.41949 | + | 1.07054i | −0.0831347 | + | 0.0367844i | ||||
\(848\) | −16.8292 | − | 8.10451i | −0.577917 | − | 0.278310i | ||||
\(849\) | −70.5682 | − | 21.7674i | −2.42189 | − | 0.747055i | ||||
\(850\) | −2.53599 | + | 6.46159i | −0.0869837 | + | 0.221631i | ||||
\(851\) | −1.17454 | − | 2.03437i | −0.0402629 | − | 0.0697373i | ||||
\(852\) | 19.7286 | − | 34.1709i | 0.675890 | − | 1.17068i | ||||
\(853\) | 14.8497 | + | 18.6210i | 0.508445 | + | 0.637570i | 0.968111 | − | 0.250522i | \(-0.0806021\pi\) |
−0.459666 | + | 0.888092i | \(0.652031\pi\) | |||||||
\(854\) | 4.01547 | − | 0.473482i | 0.137406 | − | 0.0162022i | ||||
\(855\) | −1.12391 | + | 1.40934i | −0.0384370 | + | 0.0481984i | ||||
\(856\) | −1.92660 | − | 4.90891i | −0.0658500 | − | 0.167783i | ||||
\(857\) | −1.49022 | − | 19.8857i | −0.0509051 | − | 0.679281i | −0.963034 | − | 0.269378i | \(-0.913182\pi\) |
0.912129 | − | 0.409903i | \(-0.134437\pi\) | |||||||
\(858\) | −0.0259882 | − | 0.346788i | −0.000887221 | − | 0.0118391i | ||||
\(859\) | 5.49926 | + | 14.0119i | 0.187632 | + | 0.478080i | 0.993475 | − | 0.114050i | \(-0.0363825\pi\) |
−0.805843 | + | 0.592130i | \(0.798287\pi\) | |||||||
\(860\) | −7.63693 | + | 9.57640i | −0.260417 | + | 0.326553i | ||||
\(861\) | −10.2402 | + | 1.20747i | −0.348986 | + | 0.0411505i | ||||
\(862\) | 4.91377 | + | 6.16167i | 0.167364 | + | 0.209867i | ||||
\(863\) | 5.40272 | − | 9.35779i | 0.183911 | − | 0.318543i | −0.759298 | − | 0.650743i | \(-0.774458\pi\) |
0.943209 | + | 0.332200i | \(0.107791\pi\) | |||||||
\(864\) | 4.24137 | + | 7.34627i | 0.144294 | + | 0.249925i | ||||
\(865\) | −3.60285 | + | 9.17991i | −0.122501 | + | 0.312126i | ||||
\(866\) | 7.70503 | + | 2.37669i | 0.261828 | + | 0.0807631i | ||||
\(867\) | 21.4053 | + | 10.3083i | 0.726963 | + | 0.350087i | ||||
\(868\) | 24.2452 | − | 10.7277i | 0.822935 | − | 0.364122i | ||||
\(869\) | −1.32658 | + | 0.638845i | −0.0450010 | + | 0.0216713i | ||||
\(870\) | −6.81115 | + | 1.02662i | −0.230920 | + | 0.0348056i | ||||
\(871\) | 2.73284 | + | 1.86322i | 0.0925989 | + | 0.0631328i | ||||
\(872\) | −8.83911 | + | 8.20149i | −0.299330 | + | 0.277738i | ||||
\(873\) | 9.23177 | − | 6.29411i | 0.312448 | − | 0.213024i | ||||
\(874\) | 0.0197137 | − | 0.0863713i | 0.000666825 | − | 0.00292155i | ||||
\(875\) | −14.4092 | − | 10.5198i | −0.487120 | − | 0.355634i | ||||
\(876\) | 10.9809 | + | 48.1106i | 0.371011 | + | 1.62551i | ||||
\(877\) | −21.9278 | − | 20.3461i | −0.740450 | − | 0.687038i | 0.216827 | − | 0.976210i | \(-0.430429\pi\) |
−0.957277 | + | 0.289173i | \(0.906620\pi\) | |||||||
\(878\) | 15.1528 | + | 2.28391i | 0.511381 | + | 0.0770784i | ||||
\(879\) | 9.04122 | − | 2.78885i | 0.304953 | − | 0.0940655i | ||||
\(880\) | −0.119511 | + | 1.59476i | −0.00402871 | + | 0.0537594i | ||||
\(881\) | 11.5319 | 0.388521 | 0.194261 | − | 0.980950i | \(-0.437769\pi\) | ||||
0.194261 | + | 0.980950i | \(0.437769\pi\) | |||||||
\(882\) | −8.02363 | − | 11.5108i | −0.270170 | − | 0.387589i | ||||
\(883\) | 6.34534 | 0.213538 | 0.106769 | − | 0.994284i | \(-0.465950\pi\) | ||||
0.106769 | + | 0.994284i | \(0.465950\pi\) | |||||||
\(884\) | −0.0860070 | + | 1.14768i | −0.00289273 | + | 0.0386008i | ||||
\(885\) | 21.0556 | − | 6.49480i | 0.707777 | − | 0.218320i | ||||
\(886\) | 1.49371 | + | 0.225140i | 0.0501821 | + | 0.00756373i | ||||
\(887\) | 23.1834 | + | 21.5110i | 0.778422 | + | 0.722270i | 0.965593 | − | 0.260058i | \(-0.0837416\pi\) |
−0.187172 | + | 0.982327i | \(0.559932\pi\) | |||||||
\(888\) | 12.0768 | + | 52.9117i | 0.405269 | + | 1.77560i | ||||
\(889\) | 6.73627 | − | 5.85796i | 0.225927 | − | 0.196470i | ||||
\(890\) | −0.859355 | + | 3.76508i | −0.0288056 | + | 0.126206i | ||||
\(891\) | 5.59063 | − | 3.81163i | 0.187293 | − | 0.127694i | ||||
\(892\) | 14.5212 | − | 13.4737i | 0.486207 | − | 0.451134i | ||||
\(893\) | −4.26347 | − | 2.90679i | −0.142672 | − | 0.0972719i | ||||
\(894\) | 14.1496 | − | 2.13271i | 0.473233 | − | 0.0713284i | ||||
\(895\) | −4.63238 | + | 2.23084i | −0.154843 | + | 0.0745687i | ||||
\(896\) | −27.0602 | − | 14.1232i | −0.904019 | − | 0.471821i | ||||
\(897\) | −0.128834 | − | 0.0620432i | −0.00430164 | − | 0.00207156i | ||||
\(898\) | −11.6557 | − | 3.59532i | −0.388957 | − | 0.119977i | ||||
\(899\) | −14.7155 | + | 37.4944i | −0.490789 | + | 1.25051i | ||||
\(900\) | −13.7664 | − | 23.8441i | −0.458880 | − | 0.794803i | ||||
\(901\) | 11.5558 | − | 20.0152i | 0.384980 | − | 0.666804i | ||||
\(902\) | 0.523406 | + | 0.656330i | 0.0174275 | + | 0.0218534i | ||||
\(903\) | 58.5226 | − | 37.1958i | 1.94751 | − | 1.23780i | ||||
\(904\) | 8.77678 | − | 11.0057i | 0.291911 | − | 0.366045i | ||||
\(905\) | −1.25525 | − | 3.19833i | −0.0417260 | − | 0.106316i | ||||
\(906\) | −0.0702795 | − | 0.937814i | −0.00233488 | − | 0.0311568i | ||||
\(907\) | 1.94516 | + | 25.9564i | 0.0645880 | + | 0.861867i | 0.931578 | + | 0.363541i | \(0.118433\pi\) |
−0.866990 | + | 0.498326i | \(0.833948\pi\) | |||||||
\(908\) | 0.397967 | + | 1.01400i | 0.0132070 | + | 0.0336509i | ||||
\(909\) | 0.519859 | − | 0.651883i | 0.0172426 | − | 0.0216216i | ||||
\(910\) | 0.240169 | + | 0.0826467i | 0.00796152 | + | 0.00273971i | ||||
\(911\) | 9.91441 | + | 12.4323i | 0.328479 | + | 0.411900i | 0.918458 | − | 0.395519i | \(-0.129435\pi\) |
−0.589979 | + | 0.807419i | \(0.700864\pi\) | |||||||
\(912\) | 2.03262 | − | 3.52060i | 0.0673067 | − | 0.116579i | ||||
\(913\) | −6.10467 | − | 10.5736i | −0.202035 | − | 0.349935i | ||||
\(914\) | 1.56935 | − | 3.99865i | 0.0519096 | − | 0.132264i | ||||
\(915\) | 4.81431 | + | 1.48502i | 0.159156 | + | 0.0490931i | ||||
\(916\) | −3.97664 | − | 1.91505i | −0.131392 | − | 0.0632750i | ||||
\(917\) | 5.30903 | − | 20.2316i | 0.175320 | − | 0.668107i | ||||
\(918\) | −2.20960 | + | 1.06409i | −0.0729277 | + | 0.0351201i | ||||
\(919\) | −12.1172 | + | 1.82637i | −0.399710 | + | 0.0602465i | −0.345821 | − | 0.938300i | \(-0.612400\pi\) |
−0.0538885 | + | 0.998547i | \(0.517162\pi\) | |||||||
\(920\) | −0.273558 | − | 0.186508i | −0.00901893 | − | 0.00614900i | ||||
\(921\) | −51.3671 | + | 47.6617i | −1.69260 | + | 1.57051i | ||||
\(922\) | −14.2843 | + | 9.73889i | −0.470429 | + | 0.320733i | ||||
\(923\) | 0.491861 | − | 2.15498i | 0.0161898 | − | 0.0709321i | ||||
\(924\) | 4.55301 | − | 10.5847i | 0.149783 | − | 0.348210i | ||||
\(925\) | −10.3141 | − | 45.1892i | −0.339127 | − | 1.48581i | ||||
\(926\) | 9.67569 | + | 8.97773i | 0.317963 | + | 0.295027i | ||||
\(927\) | −5.23904 | − | 0.789659i | −0.172073 | − | 0.0259358i | ||||
\(928\) | 34.7270 | − | 10.7119i | 1.13997 | − | 0.351634i | ||||
\(929\) | −2.57858 | + | 34.4088i | −0.0846006 | + | 1.12892i | 0.779772 | + | 0.626064i | \(0.215335\pi\) |
−0.864372 | + | 0.502852i | \(0.832284\pi\) | |||||||
\(930\) | −5.99145 | −0.196467 | ||||||||
\(931\) | −2.08535 | + | 4.44741i | −0.0683447 | + | 0.145758i | ||||
\(932\) | 35.8579 | 1.17457 | ||||||||
\(933\) | −4.46764 | + | 59.6165i | −0.146264 | + | 1.95176i | ||||
\(934\) | −15.8101 | + | 4.87678i | −0.517323 | + | 0.159573i | ||||
\(935\) | −1.95664 | − | 0.294916i | −0.0639889 | − | 0.00964477i | ||||
\(936\) | 1.32388 | + | 1.22838i | 0.0432723 | + | 0.0401508i | ||||
\(937\) | 2.58353 | + | 11.3192i | 0.0844002 | + | 0.369781i | 0.999436 | − | 0.0335920i | \(-0.0106947\pi\) |
−0.915035 | + | 0.403373i | \(0.867838\pi\) | |||||||
\(938\) | −9.37794 | − | 17.5239i | −0.306201 | − | 0.572175i | ||||
\(939\) | −6.10410 | + | 26.7438i | −0.199200 | + | 0.872751i | ||||
\(940\) | −7.30436 | + | 4.98003i | −0.238242 | + | 0.162431i | ||||
\(941\) | 4.50955 | − | 4.18426i | 0.147007 | − | 0.136403i | −0.603241 | − | 0.797559i | \(-0.706124\pi\) |
0.750248 | + | 0.661156i | \(0.229934\pi\) | |||||||
\(942\) | 0.0183018 | + | 0.0124780i | 0.000596305 | + | 0.000406554i | ||||
\(943\) | 0.341328 | − | 0.0514469i | 0.0111152 | − | 0.00167534i | ||||
\(944\) | −24.4743 | + | 11.7862i | −0.796569 | + | 0.383608i | ||||
\(945\) | −0.569972 | − | 2.92934i | −0.0185412 | − | 0.0952914i | ||||
\(946\) | −5.08643 | − | 2.44949i | −0.165374 | − | 0.0796399i | ||||
\(947\) | −55.3498 | − | 17.0731i | −1.79863 | − | 0.554803i | −0.799669 | − | 0.600442i | \(-0.794991\pi\) |
−0.998958 | + | 0.0456389i | \(0.985468\pi\) | |||||||
\(948\) | 2.34268 | − | 5.96906i | 0.0760868 | − | 0.193866i | ||||
\(949\) | 1.38224 | + | 2.39411i | 0.0448694 | + | 0.0777161i | ||||
\(950\) | 0.874036 | − | 1.51388i | 0.0283575 | − | 0.0491166i | ||||
\(951\) | 32.6867 | + | 40.9878i | 1.05994 | + | 1.32912i | ||||
\(952\) | 7.96004 | − | 12.8150i | 0.257986 | − | 0.415337i | ||||
\(953\) | 21.3940 | − | 26.8273i | 0.693021 | − | 0.869021i | −0.303460 | − | 0.952844i | \(-0.598142\pi\) |
0.996481 | + | 0.0838234i | \(0.0267132\pi\) | |||||||
\(954\) | −6.07401 | − | 15.4763i | −0.196653 | − | 0.501065i | ||||
\(955\) | −1.21115 | − | 16.1617i | −0.0391920 | − | 0.522981i | ||||
\(956\) | −0.449428 | − | 5.99720i | −0.0145355 | − | 0.193963i | ||||
\(957\) | 6.39537 | + | 16.2951i | 0.206733 | + | 0.526747i | ||||
\(958\) | −2.78345 | + | 3.49034i | −0.0899293 | + | 0.112768i | ||||
\(959\) | 29.7621 | + | 29.4558i | 0.961069 | + | 0.951177i | ||||
\(960\) | −1.75954 | − | 2.20639i | −0.0567889 | − | 0.0712110i | ||||
\(961\) | −2.01778 | + | 3.49489i | −0.0650895 | + | 0.112738i | ||||
\(962\) | 0.696894 | + | 1.20706i | 0.0224688 | + | 0.0389171i | ||||
\(963\) | −3.40585 | + | 8.67795i | −0.109752 | + | 0.279643i | ||||
\(964\) | 19.5369 | + | 6.02634i | 0.629241 | + | 0.194095i | ||||
\(965\) | −2.59268 | − | 1.24857i | −0.0834614 | − | 0.0401929i | ||||
\(966\) | 0.513819 | + | 0.688715i | 0.0165319 | + | 0.0221591i | ||||
\(967\) | −17.8041 | + | 8.57401i | −0.572542 | + | 0.275722i | −0.697670 | − | 0.716419i | \(-0.745780\pi\) |
0.125128 | + | 0.992141i | \(0.460066\pi\) | |||||||
\(968\) | −2.02345 | + | 0.304986i | −0.0650362 | + | 0.00980264i | ||||
\(969\) | 4.15593 | + | 2.83346i | 0.133508 | + | 0.0910240i | ||||
\(970\) | 0.890927 | − | 0.826659i | 0.0286059 | − | 0.0265424i | ||||
\(971\) | 4.89555 | − | 3.33773i | 0.157106 | − | 0.107113i | −0.482216 | − | 0.876053i | \(-0.660168\pi\) |
0.639321 | + | 0.768940i | \(0.279215\pi\) | |||||||
\(972\) | −8.35233 | + | 36.5939i | −0.267901 | + | 1.17375i | ||||
\(973\) | −38.3531 | − | 7.05151i | −1.22955 | − | 0.226061i | ||||
\(974\) | −2.11709 | − | 9.27557i | −0.0678359 | − | 0.297208i | ||||
\(975\) | −2.06832 | − | 1.91912i | −0.0662393 | − | 0.0614610i | ||||
\(976\) | −6.14168 | − | 0.925710i | −0.196590 | − | 0.0296312i | ||||
\(977\) | 42.7036 | − | 13.1723i | 1.36621 | − | 0.421420i | 0.476993 | − | 0.878907i | \(-0.341727\pi\) |
0.889216 | + | 0.457487i | \(0.151250\pi\) | |||||||
\(978\) | 0.425664 | − | 5.68009i | 0.0136112 | − | 0.181629i | ||||
\(979\) | 9.81454 | 0.313674 | ||||||||
\(980\) | 5.78752 | + | 6.10946i | 0.184875 | + | 0.195159i | ||||
\(981\) | 21.3160 | 0.680568 | ||||||||
\(982\) | 0.511991 | − | 6.83204i | 0.0163383 | − | 0.218019i | ||||
\(983\) | −3.03857 | + | 0.937276i | −0.0969154 | + | 0.0298945i | −0.342834 | − | 0.939396i | \(-0.611387\pi\) |
0.245918 | + | 0.969291i | \(0.420911\pi\) | |||||||
\(984\) | −7.88591 | − | 1.18861i | −0.251394 | − | 0.0378915i | ||||
\(985\) | 7.55204 | + | 7.00727i | 0.240628 | + | 0.223270i | ||||
\(986\) | 2.33798 | + | 10.2434i | 0.0744566 | + | 0.326216i | ||||
\(987\) | 48.2752 | − | 13.2033i | 1.53662 | − | 0.420267i | ||||
\(988\) | 0.0644941 | − | 0.282567i | 0.00205183 | − | 0.00898965i | ||||
\(989\) | −1.91800 | + | 1.30767i | −0.0609889 | + | 0.0415816i | ||||
\(990\) | −1.04345 | + | 0.968177i | −0.0331629 | + | 0.0307707i | ||||
\(991\) | −43.9221 | − | 29.9456i | −1.39523 | − | 0.951252i | −0.999459 | − | 0.0329031i | \(-0.989525\pi\) |
−0.395772 | − | 0.918349i | \(-0.629523\pi\) | |||||||
\(992\) | 31.2578 | − | 4.71135i | 0.992436 | − | 0.149586i | ||||
\(993\) | 5.74991 | − | 2.76901i | 0.182468 | − | 0.0878720i | ||||
\(994\) | −8.61179 | + | 10.1124i | −0.273149 | + | 0.320746i | ||||
\(995\) | 4.53148 | + | 2.18224i | 0.143657 | + | 0.0691818i | ||||
\(996\) | 50.8100 | + | 15.6728i | 1.60998 | + | 0.496612i | ||||
\(997\) | 15.4102 | − | 39.2645i | 0.488046 | − | 1.24352i | −0.448754 | − | 0.893655i | \(-0.648132\pi\) |
0.936800 | − | 0.349865i | \(-0.113773\pi\) | |||||||
\(998\) | 7.22470 | + | 12.5135i | 0.228694 | + | 0.396109i | ||||
\(999\) | 8.18817 | − | 14.1823i | 0.259062 | − | 0.448709i |
(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 | 539.2.r.a.23.9 | ✓ | 276 | |
49.32 | even | 21 | inner | 539.2.r.a.375.9 | yes | 276 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
539.2.r.a.23.9 | ✓ | 276 | 1.1 | even | 1 | trivial | |
539.2.r.a.375.9 | yes | 276 | 49.32 | even | 21 | inner |