Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [567,2,Mod(143,567)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(567, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("567.143");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 567 = 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 567.ba (of order \(18\), degree \(6\), not 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: | \(4.52751779461\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 189) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 143.18 | ||
Character | \(\chi\) | \(=\) | 567.143 |
Dual form | 567.2.ba.a.341.18 |
$q$-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 \(\left(\mathbb{Z}/567\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.08992 | − | 1.29892i | 0.770690 | − | 0.918472i | −0.227784 | − | 0.973712i | \(-0.573148\pi\) |
0.998473 | + | 0.0552397i | \(0.0175923\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.151961 | − | 0.861812i | −0.0759803 | − | 0.430906i | ||||
\(5\) | −1.13756 | + | 0.954530i | −0.508734 | + | 0.426879i | −0.860684 | − | 0.509140i | \(-0.829963\pi\) |
0.351949 | + | 0.936019i | \(0.385519\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.51978 | − | 0.806679i | 0.952386 | − | 0.304896i | ||||
\(8\) | 1.65184 | + | 0.953692i | 0.584015 | + | 0.337181i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.51796i | 0.796250i | ||||||||
\(11\) | 0.0836396 | − | 0.0996778i | 0.0252183 | − | 0.0300540i | −0.753288 | − | 0.657691i | \(-0.771533\pi\) |
0.778506 | + | 0.627637i | \(0.215978\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.311287 | + | 0.855253i | −0.0863354 | + | 0.237205i | −0.975346 | − | 0.220683i | \(-0.929171\pi\) |
0.889010 | + | 0.457887i | \(0.151394\pi\) | |||||||
\(14\) | 1.69855 | − | 4.15219i | 0.453955 | − | 1.10972i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 4.68381 | − | 1.70477i | 1.17095 | − | 0.426191i | ||||
\(17\) | 5.63249 | 1.36608 | 0.683040 | − | 0.730381i | \(-0.260658\pi\) | ||||
0.683040 | + | 0.730381i | \(0.260658\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.0959743i | 0.0220180i | 0.999939 | + | 0.0110090i | \(0.00350435\pi\) | ||||
−0.999939 | + | 0.0110090i | \(0.996496\pi\) | |||||||
\(20\) | 0.995491 | + | 0.835316i | 0.222598 | + | 0.186782i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.0383126 | − | 0.217282i | −0.00816828 | − | 0.0463246i | ||||
\(23\) | 2.22151 | − | 6.10356i | 0.463218 | − | 1.27268i | −0.459835 | − | 0.888005i | \(-0.652091\pi\) |
0.923052 | − | 0.384675i | \(-0.125687\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.485315 | + | 2.75236i | −0.0970630 | + | 0.550472i | ||||
\(26\) | 0.771624 | + | 1.33649i | 0.151328 | + | 0.262108i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.07811 | − | 2.04899i | −0.203744 | − | 0.387223i | ||||
\(29\) | −0.238914 | − | 0.656410i | −0.0443651 | − | 0.121892i | 0.915532 | − | 0.402246i | \(-0.131770\pi\) |
−0.959897 | + | 0.280354i | \(0.909548\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −8.96076 | + | 1.58002i | −1.60940 | + | 0.283781i | −0.904804 | − | 0.425828i | \(-0.859983\pi\) |
−0.704596 | + | 0.709609i | \(0.748872\pi\) | |||||||
\(32\) | 1.58590 | − | 4.35722i | 0.280350 | − | 0.770254i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 6.13896 | − | 7.31613i | 1.05282 | − | 1.25471i | ||||
\(35\) | −2.09641 | + | 3.32285i | −0.354358 | + | 0.561664i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.72508 | − | 2.98792i | 0.283601 | − | 0.491211i | −0.688668 | − | 0.725077i | \(-0.741804\pi\) |
0.972269 | + | 0.233866i | \(0.0751376\pi\) | |||||||
\(38\) | 0.124663 | + | 0.104604i | 0.0202229 | + | 0.0169691i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.78941 | + | 0.491848i | −0.441044 | + | 0.0777680i | ||||
\(41\) | 2.04536 | + | 0.744450i | 0.319432 | + | 0.116264i | 0.496760 | − | 0.867888i | \(-0.334523\pi\) |
−0.177328 | + | 0.984152i | \(0.556745\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.37972 | − | 7.82480i | 0.210406 | − | 1.19327i | −0.678297 | − | 0.734788i | \(-0.737282\pi\) |
0.888703 | − | 0.458483i | \(-0.151607\pi\) | |||||||
\(44\) | −0.0986135 | − | 0.0569345i | −0.0148665 | − | 0.00858320i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −5.50674 | − | 9.53795i | −0.811924 | − | 1.40629i | ||||
\(47\) | −2.18137 | + | 12.3712i | −0.318186 | + | 1.80452i | 0.235585 | + | 0.971854i | \(0.424299\pi\) |
−0.553771 | + | 0.832669i | \(0.686812\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.69854 | − | 4.06530i | 0.814077 | − | 0.580757i | ||||
\(50\) | 3.04613 | + | 3.63023i | 0.430787 | + | 0.513392i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.784371 | + | 0.138306i | 0.108773 | + | 0.0191795i | ||||
\(53\) | −1.26661 | − | 0.731275i | −0.173982 | − | 0.100448i | 0.410480 | − | 0.911869i | \(-0.365361\pi\) |
−0.584462 | + | 0.811421i | \(0.698694\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.193227i | 0.0260547i | ||||||||
\(56\) | 4.93160 | + | 1.07058i | 0.659013 | + | 0.143063i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.11302 | − | 0.405105i | −0.146146 | − | 0.0531929i | ||||
\(59\) | −5.96770 | − | 2.17206i | −0.776928 | − | 0.282779i | −0.0770368 | − | 0.997028i | \(-0.524546\pi\) |
−0.699891 | + | 0.714250i | \(0.746768\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −7.69007 | − | 1.35597i | −0.984613 | − | 0.173614i | −0.341913 | − | 0.939732i | \(-0.611075\pi\) |
−0.642700 | + | 0.766118i | \(0.722186\pi\) | |||||||
\(62\) | −7.71419 | + | 13.3614i | −0.979703 | + | 1.69690i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.05325 | + | 1.82428i | 0.131656 | + | 0.228035i | ||||
\(65\) | −0.462256 | − | 1.27004i | −0.0573358 | − | 0.157529i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −11.0280 | + | 9.25358i | −1.34728 | + | 1.13050i | −0.367592 | + | 0.929987i | \(0.619818\pi\) |
−0.979690 | + | 0.200517i | \(0.935738\pi\) | |||||||
\(68\) | −0.855917 | − | 4.85415i | −0.103795 | − | 0.588652i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.03119 | + | 6.34470i | 0.242773 | + | 0.758337i | ||||
\(71\) | −2.38823 | + | 1.37884i | −0.283431 | + | 0.163639i | −0.634975 | − | 0.772532i | \(-0.718990\pi\) |
0.351545 | + | 0.936171i | \(0.385656\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.94774 | + | 4.01128i | −0.813171 | + | 0.469485i | −0.848056 | − | 0.529907i | \(-0.822227\pi\) |
0.0348847 | + | 0.999391i | \(0.488894\pi\) | |||||||
\(74\) | −2.00086 | − | 5.49732i | −0.232595 | − | 0.639051i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.0827118 | − | 0.0145843i | 0.00948770 | − | 0.00167294i | ||||
\(77\) | 0.130345 | − | 0.318636i | 0.0148542 | − | 0.0363119i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.310233 | + | 0.260316i | 0.0349039 | + | 0.0292879i | 0.660073 | − | 0.751202i | \(-0.270525\pi\) |
−0.625169 | + | 0.780490i | \(0.714970\pi\) | |||||||
\(80\) | −3.70088 | + | 6.41012i | −0.413771 | + | 0.716673i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 3.19626 | − | 1.84536i | 0.352968 | − | 0.203786i | ||||
\(83\) | 4.54412 | − | 1.65393i | 0.498782 | − | 0.181542i | −0.0803638 | − | 0.996766i | \(-0.525608\pi\) |
0.579146 | + | 0.815224i | \(0.303386\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −6.40732 | + | 5.37638i | −0.694972 | + | 0.583150i | ||||
\(86\) | −8.65997 | − | 10.3205i | −0.933828 | − | 1.11289i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.233222 | − | 0.0848857i | 0.0248615 | − | 0.00904884i | ||||
\(89\) | −15.9719 | −1.69302 | −0.846508 | − | 0.532376i | \(-0.821299\pi\) | ||||
−0.846508 | + | 0.532376i | \(0.821299\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.0944582 | + | 2.40615i | −0.00990191 | + | 0.252233i | ||||
\(92\) | −5.59770 | − | 0.987026i | −0.583601 | − | 0.102905i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 13.6916 | + | 16.3170i | 1.41218 | + | 1.68297i | ||||
\(95\) | −0.0916104 | − | 0.109177i | −0.00939903 | − | 0.0112013i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 10.2887 | + | 1.81418i | 1.04466 | + | 0.184202i | 0.669541 | − | 0.742775i | \(-0.266491\pi\) |
0.375118 | + | 0.926977i | \(0.377602\pi\) | |||||||
\(98\) | 0.930470 | − | 11.8328i | 0.0939916 | − | 1.19529i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.44576 | 0.244576 | ||||||||
\(101\) | −4.01032 | + | 1.45964i | −0.399042 | + | 0.145239i | −0.533743 | − | 0.845647i | \(-0.679215\pi\) |
0.134701 | + | 0.990886i | \(0.456993\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.60642 | − | 3.10621i | −0.256818 | − | 0.306064i | 0.622194 | − | 0.782863i | \(-0.286241\pi\) |
−0.879012 | + | 0.476799i | \(0.841797\pi\) | |||||||
\(104\) | −1.32985 | + | 1.11587i | −0.130402 | + | 0.109420i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.33036 | + | 0.848183i | −0.226345 | + | 0.0823828i | ||||
\(107\) | 8.99730 | − | 5.19460i | 0.869802 | − | 0.502181i | 0.00251969 | − | 0.999997i | \(-0.499198\pi\) |
0.867283 | + | 0.497816i | \(0.165865\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.59277 | − | 4.49081i | 0.248342 | − | 0.430142i | −0.714724 | − | 0.699407i | \(-0.753447\pi\) |
0.963066 | + | 0.269265i | \(0.0867808\pi\) | |||||||
\(110\) | 0.250985 | + | 0.210601i | 0.0239305 | + | 0.0200801i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 10.4269 | − | 8.07395i | 0.985253 | − | 0.762917i | ||||
\(113\) | 15.1938 | − | 2.67908i | 1.42931 | − | 0.252026i | 0.595181 | − | 0.803592i | \(-0.297080\pi\) |
0.834132 | + | 0.551565i | \(0.185969\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.29892 | + | 9.06369i | 0.307625 | + | 0.845194i | ||||
\(116\) | −0.529396 | + | 0.305647i | −0.0491532 | + | 0.0283786i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −9.32564 | + | 5.38416i | −0.858494 | + | 0.495652i | ||||
\(119\) | 14.1926 | − | 4.54361i | 1.30103 | − | 0.416512i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.90719 | + | 10.8162i | 0.173381 | + | 0.983292i | ||||
\(122\) | −10.1428 | + | 8.51086i | −0.918290 | + | 0.770537i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 2.72337 | + | 7.48239i | 0.244565 | + | 0.671938i | ||||
\(125\) | −5.78760 | − | 10.0244i | −0.517658 | − | 0.896611i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.565054 | + | 0.978702i | −0.0501404 | + | 0.0868458i | −0.890006 | − | 0.455948i | \(-0.849300\pi\) |
0.839866 | + | 0.542794i | \(0.182634\pi\) | |||||||
\(128\) | 12.6503 | + | 2.23060i | 1.11814 | + | 0.197159i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −2.15349 | − | 0.783808i | −0.188874 | − | 0.0687445i | ||||
\(131\) | −6.15002 | − | 2.23842i | −0.537330 | − | 0.195572i | 0.0590784 | − | 0.998253i | \(-0.481184\pi\) |
−0.596408 | + | 0.802681i | \(0.703406\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.0774204 | + | 0.241834i | 0.00671320 | + | 0.0209696i | ||||
\(134\) | 24.4101i | 2.10871i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 9.30399 | + | 5.37166i | 0.797811 | + | 0.460616i | ||||
\(137\) | −4.57928 | − | 0.807451i | −0.391234 | − | 0.0689852i | −0.0254292 | − | 0.999677i | \(-0.508095\pi\) |
−0.365805 | + | 0.930691i | \(0.619206\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −8.26472 | − | 9.84951i | −0.701005 | − | 0.835425i | 0.291635 | − | 0.956530i | \(-0.405801\pi\) |
−0.992640 | + | 0.121105i | \(0.961356\pi\) | |||||||
\(140\) | 3.18224 | + | 1.30177i | 0.268949 | + | 0.110019i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.811975 | + | 4.60494i | −0.0681394 | + | 0.386438i | ||||
\(143\) | 0.0592139 | + | 0.102561i | 0.00495171 | + | 0.00857662i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.898343 | + | 0.518658i | 0.0746033 | + | 0.0430722i | ||||
\(146\) | −2.36216 | + | 13.3965i | −0.195494 | + | 1.10870i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −2.83717 | − | 1.03265i | −0.233214 | − | 0.0848829i | ||||
\(149\) | −20.1468 | + | 3.55243i | −1.65049 | + | 0.291027i | −0.920007 | − | 0.391901i | \(-0.871818\pi\) |
−0.730486 | + | 0.682927i | \(0.760707\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −10.4393 | − | 8.75958i | −0.849535 | − | 0.712845i | 0.110152 | − | 0.993915i | \(-0.464866\pi\) |
−0.959687 | + | 0.281070i | \(0.909311\pi\) | |||||||
\(152\) | −0.0915300 | + | 0.158535i | −0.00742406 | + | 0.0128589i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.271816 | − | 0.516595i | −0.0219035 | − | 0.0416284i | ||||
\(155\) | 8.68526 | − | 10.3507i | 0.697617 | − | 0.831388i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.36266 | − | 3.74388i | 0.108752 | − | 0.298794i | −0.873365 | − | 0.487067i | \(-0.838067\pi\) |
0.982117 | + | 0.188273i | \(0.0602889\pi\) | |||||||
\(158\) | 0.676258 | − | 0.119242i | 0.0538002 | − | 0.00948642i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 2.35503 | + | 6.47040i | 0.186182 | + | 0.511530i | ||||
\(161\) | 0.674106 | − | 17.1716i | 0.0531270 | − | 1.35332i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −12.3022 | − | 21.3081i | −0.963584 | − | 1.66898i | −0.713372 | − | 0.700785i | \(-0.752833\pi\) |
−0.250212 | − | 0.968191i | \(-0.580500\pi\) | |||||||
\(164\) | 0.330762 | − | 1.87584i | 0.0258282 | − | 0.146479i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.80442 | − | 7.70508i | 0.217665 | − | 0.598030i | ||||
\(167\) | 3.18840 | + | 18.0823i | 0.246726 | + | 1.39925i | 0.816450 | + | 0.577417i | \(0.195939\pi\) |
−0.569724 | + | 0.821836i | \(0.692950\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 9.32402 | + | 7.82378i | 0.717232 | + | 0.601829i | ||||
\(170\) | 14.1824i | 1.08774i | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −6.95317 | −0.530174 | ||||||||
\(173\) | 3.04671 | − | 1.10891i | 0.231637 | − | 0.0843090i | −0.223594 | − | 0.974682i | \(-0.571779\pi\) |
0.455231 | + | 0.890373i | \(0.349557\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.997384 | + | 7.32682i | 0.0753951 | + | 0.553855i | ||||
\(176\) | 0.221824 | − | 0.609457i | 0.0167206 | − | 0.0459396i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −17.4081 | + | 20.7461i | −1.30479 | + | 1.55499i | ||||
\(179\) | − | 19.6751i | − | 1.47058i | −0.677750 | − | 0.735292i | \(-0.737045\pi\) | ||
0.677750 | − | 0.735292i | \(-0.262955\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 14.9844 | + | 8.65126i | 1.11378 | + | 0.643043i | 0.939806 | − | 0.341707i | \(-0.111005\pi\) |
0.173976 | + | 0.984750i | \(0.444338\pi\) | |||||||
\(182\) | 3.02244 | + | 2.74521i | 0.224038 | + | 0.203488i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 9.49051 | − | 7.96348i | 0.699650 | − | 0.587076i | ||||
\(185\) | 0.889674 | + | 5.04559i | 0.0654101 | + | 0.370959i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.471099 | − | 0.561434i | 0.0344502 | − | 0.0410561i | ||||
\(188\) | 10.9931 | 0.801755 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.241660 | −0.0175318 | ||||||||
\(191\) | −3.40180 | + | 4.05411i | −0.246146 | + | 0.293345i | −0.874945 | − | 0.484223i | \(-0.839102\pi\) |
0.628799 | + | 0.777568i | \(0.283547\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.06808 | + | 17.3999i | 0.220845 | + | 1.25248i | 0.870470 | + | 0.492221i | \(0.163815\pi\) |
−0.649625 | + | 0.760255i | \(0.725074\pi\) | |||||||
\(194\) | 13.5703 | − | 11.3868i | 0.974292 | − | 0.817528i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −4.36948 | − | 4.29330i | −0.312105 | − | 0.306665i | ||||
\(197\) | −17.9168 | − | 10.3443i | −1.27652 | − | 0.736997i | −0.300311 | − | 0.953841i | \(-0.597090\pi\) |
−0.976206 | + | 0.216844i | \(0.930424\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 12.7755i | − | 0.905634i | −0.891604 | − | 0.452817i | \(-0.850419\pi\) | ||
0.891604 | − | 0.452817i | \(-0.149581\pi\) | |||||||
\(200\) | −3.42657 | + | 4.08362i | −0.242295 | + | 0.288756i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.47498 | + | 6.79996i | −0.174139 | + | 0.478443i | ||||
\(203\) | −1.13152 | − | 1.46128i | −0.0794172 | − | 0.102562i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −3.03733 | + | 1.10550i | −0.212136 | + | 0.0772113i | ||||
\(206\) | −6.87550 | −0.479039 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 4.53651i | 0.314550i | ||||||||
\(209\) | 0.00956651 | + | 0.00802726i | 0.000661729 | + | 0.000555257i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.56749 | + | 20.2322i | 0.245596 | + | 1.39284i | 0.819104 | + | 0.573645i | \(0.194471\pi\) |
−0.573508 | + | 0.819200i | \(0.694418\pi\) | |||||||
\(212\) | −0.437747 | + | 1.20270i | −0.0300646 | + | 0.0826018i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3.05900 | − | 17.3484i | 0.209109 | − | 1.18591i | ||||
\(215\) | 5.89948 | + | 10.2182i | 0.402341 | + | 0.696876i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −21.3045 | + | 11.2098i | −1.44625 | + | 0.760968i | ||||
\(218\) | −3.00727 | − | 8.26242i | −0.203678 | − | 0.559601i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.166525 | − | 0.0293628i | 0.0112271 | − | 0.00197964i | ||||
\(221\) | −1.75332 | + | 4.81720i | −0.117941 | + | 0.324040i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 12.6494 | − | 15.0750i | 0.847070 | − | 1.00950i | −0.152705 | − | 0.988272i | \(-0.548798\pi\) |
0.999775 | − | 0.0212263i | \(-0.00675706\pi\) | |||||||
\(224\) | 0.481231 | − | 12.2585i | 0.0321536 | − | 0.819056i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 13.0801 | − | 22.6554i | 0.870077 | − | 1.50702i | ||||
\(227\) | 0.244120 | + | 0.204841i | 0.0162028 | + | 0.0135958i | 0.650853 | − | 0.759204i | \(-0.274411\pi\) |
−0.634650 | + | 0.772799i | \(0.718856\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 8.52907 | − | 1.50391i | 0.563617 | − | 0.0993809i | 0.115422 | − | 0.993317i | \(-0.463178\pi\) |
0.448195 | + | 0.893936i | \(0.352067\pi\) | |||||||
\(230\) | 15.3685 | + | 5.59369i | 1.01337 | + | 0.368837i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.231365 | − | 1.31214i | 0.0151899 | − | 0.0861460i | ||||
\(233\) | 6.35900 | + | 3.67137i | 0.416592 | + | 0.240520i | 0.693618 | − | 0.720343i | \(-0.256016\pi\) |
−0.277026 | + | 0.960862i | \(0.589349\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −9.32722 | − | 16.1552i | −0.608440 | − | 1.05385i | ||||
\(236\) | −0.965055 | + | 5.47310i | −0.0628197 | + | 0.356268i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 9.56704 | − | 23.3872i | 0.620139 | − | 1.51596i | ||||
\(239\) | 3.02456 | + | 3.60453i | 0.195642 | + | 0.233157i | 0.854943 | − | 0.518722i | \(-0.173592\pi\) |
−0.659301 | + | 0.751879i | \(0.729148\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.53071 | − | 1.15154i | −0.420680 | − | 0.0741773i | −0.0406989 | − | 0.999171i | \(-0.512958\pi\) |
−0.379981 | + | 0.924994i | \(0.624070\pi\) | |||||||
\(242\) | 16.1280 | + | 9.31152i | 1.03675 | + | 0.598567i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 6.83345i | 0.437467i | ||||||||
\(245\) | −2.60201 | + | 10.0640i | −0.166236 | + | 0.642963i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.0820823 | − | 0.0298755i | −0.00522277 | − | 0.00190093i | ||||
\(248\) | −16.3086 | − | 5.93585i | −1.03560 | − | 0.376927i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −19.3289 | − | 3.40820i | −1.22247 | − | 0.215554i | ||||
\(251\) | 7.34905 | − | 12.7289i | 0.463868 | − | 0.803443i | −0.535282 | − | 0.844674i | \(-0.679795\pi\) |
0.999150 | + | 0.0412308i | \(0.0131279\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.422583 | − | 0.731935i | −0.0265675 | − | 0.0460163i | ||||
\(254\) | 0.655388 | + | 1.80066i | 0.0411227 | + | 0.112984i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 13.4579 | − | 11.2925i | 0.841118 | − | 0.705782i | ||||
\(257\) | 2.45224 | + | 13.9074i | 0.152967 | + | 0.867517i | 0.960621 | + | 0.277861i | \(0.0896255\pi\) |
−0.807655 | + | 0.589656i | \(0.799263\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.93651 | − | 8.92047i | 0.120329 | − | 0.554291i | ||||
\(260\) | −1.02429 | + | 0.591374i | −0.0635237 | + | 0.0366754i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −9.61055 | + | 5.54865i | −0.593742 | + | 0.342797i | ||||
\(263\) | −5.34900 | − | 14.6963i | −0.329834 | − | 0.906211i | −0.988153 | − | 0.153472i | \(-0.950955\pi\) |
0.658319 | − | 0.752739i | \(-0.271268\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.13887 | − | 0.377141i | 0.131390 | − | 0.0231676i | ||||
\(266\) | 0.398504 | + | 0.163017i | 0.0244338 | + | 0.00999520i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 9.65066 | + | 8.09787i | 0.589508 | + | 0.494656i | ||||
\(269\) | 2.15558 | − | 3.73358i | 0.131428 | − | 0.227640i | −0.792799 | − | 0.609483i | \(-0.791377\pi\) |
0.924227 | + | 0.381843i | \(0.124710\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 16.1867 | − | 9.34540i | 0.983272 | − | 0.567692i | 0.0800157 | − | 0.996794i | \(-0.474503\pi\) |
0.903256 | + | 0.429101i | \(0.141170\pi\) | |||||||
\(272\) | 26.3815 | − | 9.60207i | 1.59961 | − | 0.582211i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −6.03986 | + | 5.06804i | −0.364881 | + | 0.306172i | ||||
\(275\) | 0.233757 | + | 0.278581i | 0.0140961 | + | 0.0167991i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −8.83184 | + | 3.21453i | −0.530654 | + | 0.193142i | −0.593430 | − | 0.804885i | \(-0.702227\pi\) |
0.0627763 | + | 0.998028i | \(0.480005\pi\) | |||||||
\(278\) | −21.8016 | −1.30757 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −6.63192 | + | 3.48950i | −0.396333 | + | 0.208538i | ||||
\(281\) | −27.0442 | − | 4.76862i | −1.61332 | − | 0.284472i | −0.707048 | − | 0.707166i | \(-0.749973\pi\) |
−0.906272 | + | 0.422694i | \(0.861084\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −13.9408 | − | 16.6140i | −0.828694 | − | 0.987599i | −0.999997 | − | 0.00238075i | \(-0.999242\pi\) |
0.171303 | − | 0.985218i | \(-0.445202\pi\) | |||||||
\(284\) | 1.55122 | + | 1.84867i | 0.0920481 | + | 0.109699i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.197757 | + | 0.0348699i | 0.0116936 | + | 0.00206190i | ||||
\(287\) | 5.75438 | + | 0.225899i | 0.339670 | + | 0.0133344i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 14.7249 | 0.866172 | ||||||||
\(290\) | 1.65281 | − | 0.601575i | 0.0970566 | − | 0.0353257i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 4.51275 | + | 5.37809i | 0.264089 | + | 0.314729i | ||||
\(293\) | −7.22978 | + | 6.06651i | −0.422368 | + | 0.354409i | −0.829063 | − | 0.559155i | \(-0.811126\pi\) |
0.406695 | + | 0.913564i | \(0.366681\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 8.86194 | − | 3.22548i | 0.515962 | − | 0.187795i | ||||
\(296\) | 5.69911 | − | 3.29038i | 0.331254 | − | 0.191250i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −17.3441 | + | 30.0409i | −1.00472 | + | 1.74022i | ||||
\(299\) | 4.52856 | + | 3.79991i | 0.261893 | + | 0.219755i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.83551 | − | 20.8297i | −0.163436 | − | 1.20061i | ||||
\(302\) | −22.7559 | + | 4.01248i | −1.30946 | + | 0.230892i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.163614 | + | 0.449525i | 0.00938389 | + | 0.0257820i | ||||
\(305\) | 10.0423 | − | 5.79790i | 0.575018 | − | 0.331987i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −4.86656 | + | 2.80971i | −0.277749 | + | 0.160358i | −0.632404 | − | 0.774639i | \(-0.717932\pi\) |
0.354655 | + | 0.934997i | \(0.384598\pi\) | |||||||
\(308\) | −0.294412 | − | 0.0639128i | −0.0167757 | − | 0.00364177i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −3.97844 | − | 22.5628i | −0.225960 | − | 1.28148i | ||||
\(311\) | 13.3712 | − | 11.2198i | 0.758213 | − | 0.636216i | −0.179448 | − | 0.983767i | \(-0.557431\pi\) |
0.937661 | + | 0.347551i | \(0.112987\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.170801 | + | 0.469272i | 0.00965424 | + | 0.0265248i | 0.944426 | − | 0.328724i | \(-0.106618\pi\) |
−0.934772 | + | 0.355248i | \(0.884396\pi\) | |||||||
\(314\) | −3.37779 | − | 5.85051i | −0.190620 | − | 0.330163i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.177200 | − | 0.306920i | 0.00996830 | − | 0.0172656i | ||||
\(317\) | −7.69250 | − | 1.35640i | −0.432054 | − | 0.0761828i | −0.0466081 | − | 0.998913i | \(-0.514841\pi\) |
−0.385446 | + | 0.922730i | \(0.625952\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.0854121 | − | 0.0310875i | −0.00478216 | − | 0.00174056i | ||||
\(320\) | −2.93946 | − | 1.06988i | −0.164321 | − | 0.0598079i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −21.5698 | − | 19.5913i | −1.20204 | − | 1.09178i | ||||
\(323\) | 0.540574i | 0.0300784i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.20289 | − | 1.27184i | −0.122194 | − | 0.0705490i | ||||
\(326\) | −41.0858 | − | 7.24454i | −2.27553 | − | 0.401238i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.66864 | + | 3.18036i | 0.147351 | + | 0.175606i | ||||
\(329\) | 4.48300 | + | 32.9323i | 0.247156 | + | 1.81562i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.48925 | + | 31.1311i | −0.301716 | + | 1.71112i | 0.336855 | + | 0.941556i | \(0.390637\pi\) |
−0.638572 | + | 0.769562i | \(0.720474\pi\) | |||||||
\(332\) | −2.11590 | − | 3.66485i | −0.116125 | − | 0.201135i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 26.9625 | + | 15.5668i | 1.47532 | + | 0.851779i | ||||
\(335\) | 3.71223 | − | 21.0531i | 0.202821 | − | 1.15025i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −6.59007 | − | 2.39859i | −0.358984 | − | 0.130659i | 0.156231 | − | 0.987721i | \(-0.450066\pi\) |
−0.515215 | + | 0.857061i | \(0.672288\pi\) | |||||||
\(338\) | 20.3249 | − | 3.58382i | 1.10553 | − | 0.194934i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 5.60709 | + | 4.70491i | 0.304087 | + | 0.255159i | ||||
\(341\) | −0.591981 | + | 1.02534i | −0.0320576 | + | 0.0555253i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 11.0797 | − | 14.8405i | 0.598245 | − | 0.801313i | ||||
\(344\) | 9.74154 | − | 11.6095i | 0.525229 | − | 0.625943i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 1.88029 | − | 5.16605i | 0.101085 | − | 0.277728i | ||||
\(347\) | 10.4676 | − | 1.84572i | 0.561929 | − | 0.0990832i | 0.114533 | − | 0.993419i | \(-0.463463\pi\) |
0.447396 | + | 0.894336i | \(0.352352\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.52401 | − | 6.93467i | −0.135107 | − | 0.371204i | 0.853627 | − | 0.520885i | \(-0.174398\pi\) |
−0.988734 | + | 0.149680i | \(0.952176\pi\) | |||||||
\(350\) | 10.6040 | + | 6.69013i | 0.566807 | + | 0.357602i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.301674 | − | 0.522514i | −0.0160793 | − | 0.0278501i | ||||
\(353\) | −2.89186 | + | 16.4006i | −0.153918 | + | 0.872915i | 0.805850 | + | 0.592120i | \(0.201709\pi\) |
−0.959768 | + | 0.280794i | \(0.909402\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.40062 | − | 3.84816i | 0.0743370 | − | 0.204239i | ||||
\(356\) | 2.42710 | + | 13.7648i | 0.128636 | + | 0.729531i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −25.5563 | − | 21.4443i | −1.35069 | − | 1.13336i | ||||
\(359\) | 17.3398i | 0.915160i | 0.889169 | + | 0.457580i | \(0.151284\pi\) | ||||
−0.889169 | + | 0.457580i | \(0.848716\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 18.9908 | 0.999515 | ||||||||
\(362\) | 27.5691 | − | 10.0343i | 1.44900 | − | 0.527392i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 2.08801 | − | 0.284236i | 0.109441 | − | 0.0148980i | ||||
\(365\) | 4.07462 | − | 11.1949i | 0.213275 | − | 0.585969i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 17.1783 | − | 20.4723i | 0.896698 | − | 1.06864i | −0.100581 | − | 0.994929i | \(-0.532070\pi\) |
0.997279 | − | 0.0737143i | \(-0.0234853\pi\) | |||||||
\(368\) | − | 32.3750i | − | 1.68767i | ||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 7.52347 | + | 4.34368i | 0.391127 | + | 0.225817i | ||||
\(371\) | −3.78147 | − | 0.820906i | −0.196324 | − | 0.0426193i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −14.1817 | + | 11.8999i | −0.734300 | + | 0.616151i | −0.931300 | − | 0.364253i | \(-0.881325\pi\) |
0.197000 | + | 0.980403i | \(0.436880\pi\) | |||||||
\(374\) | −0.215795 | − | 1.22384i | −0.0111585 | − | 0.0632831i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −15.4016 | + | 18.3549i | −0.794276 | + | 0.946582i | ||||
\(377\) | 0.635767 | 0.0327437 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 35.2309 | 1.80969 | 0.904846 | − | 0.425739i | \(-0.139986\pi\) | ||||
0.904846 | + | 0.425739i | \(0.139986\pi\) | |||||||
\(380\) | −0.0801689 | + | 0.0955416i | −0.00411258 | + | 0.00490118i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 1.55825 | + | 8.83730i | 0.0797272 | + | 0.452156i | ||||
\(383\) | 12.7995 | − | 10.7400i | 0.654022 | − | 0.548790i | −0.254266 | − | 0.967134i | \(-0.581834\pi\) |
0.908288 | + | 0.418345i | \(0.137390\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.155872 | + | 0.486887i | 0.00794396 | + | 0.0248141i | ||||
\(386\) | 25.9450 | + | 14.9794i | 1.32057 | + | 0.762429i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | − | 9.14261i | − | 0.464146i | ||||||
\(389\) | −6.09977 | + | 7.26943i | −0.309271 | + | 0.368575i | −0.898183 | − | 0.439623i | \(-0.855112\pi\) |
0.588912 | + | 0.808197i | \(0.299557\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 12.5126 | − | 34.3782i | 0.632792 | − | 1.73858i | ||||
\(392\) | 13.2901 | − | 1.28058i | 0.671253 | − | 0.0646793i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −32.9642 | + | 11.9980i | −1.66071 | + | 0.604449i | ||||
\(395\) | −0.601390 | −0.0302592 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 38.0530i | 1.90983i | 0.296886 | + | 0.954913i | \(0.404052\pi\) | ||||
−0.296886 | + | 0.954913i | \(0.595948\pi\) | |||||||
\(398\) | −16.5943 | − | 13.9243i | −0.831799 | − | 0.697962i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.41901 | + | 13.7189i | 0.120950 | + | 0.685943i | ||||
\(401\) | 1.92376 | − | 5.28549i | 0.0960680 | − | 0.263945i | −0.882345 | − | 0.470603i | \(-0.844037\pi\) |
0.978413 | + | 0.206658i | \(0.0662588\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.43804 | − | 8.15556i | 0.0716341 | − | 0.406257i | ||||
\(404\) | 1.86734 | + | 3.23434i | 0.0929039 | + | 0.160914i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.13134 | − | 0.122927i | −0.155406 | − | 0.00610076i | ||||
\(407\) | −0.153545 | − | 0.421860i | −0.00761092 | − | 0.0209108i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2.17218 | + | 0.383014i | −0.107407 | + | 0.0189388i | −0.227093 | − | 0.973873i | \(-0.572922\pi\) |
0.119686 | + | 0.992812i | \(0.461811\pi\) | |||||||
\(410\) | −1.87450 | + | 5.15014i | −0.0925749 | + | 0.254347i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −2.28090 | + | 2.71827i | −0.112372 | + | 0.133919i | ||||
\(413\) | −16.7894 | − | 0.659100i | −0.826153 | − | 0.0324322i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3.59051 | + | 6.21895i | −0.176251 | + | 0.305276i | ||||
\(416\) | 3.23285 | + | 2.71269i | 0.158504 | + | 0.133000i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.0208535 | − | 0.00367703i | 0.00101998 | − | 0.000179849i | ||||
\(419\) | 11.5894 | + | 4.21819i | 0.566178 | + | 0.206072i | 0.609220 | − | 0.793001i | \(-0.291483\pi\) |
−0.0430419 | + | 0.999073i | \(0.513705\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.05146 | − | 17.3057i | 0.148719 | − | 0.843427i | −0.815587 | − | 0.578635i | \(-0.803586\pi\) |
0.964306 | − | 0.264792i | \(-0.0853034\pi\) | |||||||
\(422\) | 30.1683 | + | 17.4176i | 1.46857 | + | 0.847878i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1.39482 | − | 2.41590i | −0.0677386 | − | 0.117327i | ||||
\(425\) | −2.73353 | + | 15.5026i | −0.132596 | + | 0.751988i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −20.4711 | + | 2.78668i | −0.990665 | + | 0.134857i | ||||
\(428\) | −5.84400 | − | 6.96461i | −0.282480 | − | 0.336647i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 19.7026 | + | 3.47409i | 0.950141 | + | 0.167536i | ||||
\(431\) | 30.8867 | + | 17.8324i | 1.48776 | + | 0.858957i | 0.999902 | − | 0.0139669i | \(-0.00444595\pi\) |
0.487856 | + | 0.872924i | \(0.337779\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 7.92231i | 0.380722i | 0.981714 | + | 0.190361i | \(0.0609659\pi\) | ||||
−0.981714 | + | 0.190361i | \(0.939034\pi\) | |||||||
\(434\) | −8.65970 | + | 39.8905i | −0.415679 | + | 1.91481i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −4.26424 | − | 1.55205i | −0.204220 | − | 0.0743299i | ||||
\(437\) | 0.585785 | + | 0.213208i | 0.0280219 | + | 0.0101991i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 16.5370 | + | 2.91592i | 0.789269 | + | 0.139169i | 0.553731 | − | 0.832696i | \(-0.313204\pi\) |
0.235538 | + | 0.971865i | \(0.424315\pi\) | |||||||
\(440\) | −0.184279 | + | 0.319180i | −0.00878514 | + | 0.0152163i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 4.34616 | + | 7.52778i | 0.206726 | + | 0.358060i | ||||
\(443\) | 5.93568 | + | 16.3082i | 0.282013 | + | 0.774824i | 0.997122 | + | 0.0758113i | \(0.0241547\pi\) |
−0.715109 | + | 0.699013i | \(0.753623\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 18.1690 | − | 15.2456i | 0.861295 | − | 0.722713i | ||||
\(446\) | −5.79430 | − | 32.8611i | −0.274368 | − | 1.55602i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 4.12555 | + | 3.74714i | 0.194914 | + | 0.177036i | ||||
\(449\) | 6.63080 | − | 3.82829i | 0.312927 | − | 0.180668i | −0.335309 | − | 0.942108i | \(-0.608841\pi\) |
0.648235 | + | 0.761440i | \(0.275507\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.245278 | − | 0.141612i | 0.0115497 | − | 0.00666823i | ||||
\(452\) | −4.61772 | − | 12.6871i | −0.217199 | − | 0.596750i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0.532142 | − | 0.0938310i | 0.0249747 | − | 0.00440371i | ||||
\(455\) | −2.18929 | − | 2.82732i | −0.102636 | − | 0.132547i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 22.7892 | + | 19.1224i | 1.06603 | + | 0.894507i | 0.994687 | − | 0.102945i | \(-0.0328265\pi\) |
0.0713449 | + | 0.997452i | \(0.477271\pi\) | |||||||
\(458\) | 7.34256 | − | 12.7177i | 0.343095 | − | 0.594258i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 7.30989 | − | 4.22037i | 0.340826 | − | 0.196776i | ||||
\(461\) | −0.444066 | + | 0.161627i | −0.0206822 | + | 0.00752772i | −0.352341 | − | 0.935872i | \(-0.614614\pi\) |
0.331658 | + | 0.943400i | \(0.392392\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 1.97532 | − | 1.65749i | 0.0918008 | − | 0.0770300i | −0.595732 | − | 0.803183i | \(-0.703138\pi\) |
0.687533 | + | 0.726153i | \(0.258694\pi\) | |||||||
\(464\) | −2.23805 | − | 2.66720i | −0.103899 | − | 0.123822i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 11.6996 | − | 4.25831i | 0.541974 | − | 0.197262i | ||||
\(467\) | 5.31125 | 0.245775 | 0.122888 | − | 0.992421i | \(-0.460784\pi\) | ||||
0.122888 | + | 0.992421i | \(0.460784\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −20.3234 | + | 32.2130i | −0.938447 | + | 1.48746i | ||||
\(470\) | −31.1502 | − | 5.49262i | −1.43685 | − | 0.253355i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −7.78622 | − | 9.27925i | −0.358390 | − | 0.427112i | ||||
\(473\) | −0.664559 | − | 0.791991i | −0.0305565 | − | 0.0364158i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.264156 | − | 0.0465778i | −0.0121203 | − | 0.00213714i | ||||
\(476\) | −6.07245 | − | 11.5409i | −0.278330 | − | 0.528977i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 7.97850 | 0.364928 | ||||||||
\(479\) | −30.9511 | + | 11.2653i | −1.41419 | + | 0.514723i | −0.932357 | − | 0.361539i | \(-0.882251\pi\) |
−0.481834 | + | 0.876262i | \(0.660029\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.01843 | + | 2.40548i | 0.0920327 | + | 0.109680i | ||||
\(482\) | −8.61371 | + | 7.22776i | −0.392344 | + | 0.329215i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 9.03172 | − | 3.28728i | 0.410533 | − | 0.149422i | ||||
\(485\) | −13.4357 | + | 7.75713i | −0.610086 | + | 0.352233i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −12.1204 | + | 20.9931i | −0.549226 | + | 0.951288i | 0.449101 | + | 0.893481i | \(0.351744\pi\) |
−0.998328 | + | 0.0578073i | \(0.981589\pi\) | |||||||
\(488\) | −11.4096 | − | 9.57381i | −0.516489 | − | 0.433386i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 10.2363 | + | 14.3487i | 0.462427 | + | 0.648208i | ||||
\(491\) | 11.3569 | − | 2.00253i | 0.512529 | − | 0.0903727i | 0.0885987 | − | 0.996067i | \(-0.471761\pi\) |
0.423931 | + | 0.905695i | \(0.360650\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.34568 | − | 3.69722i | −0.0606063 | − | 0.166514i | ||||
\(494\) | −0.128269 | + | 0.0740561i | −0.00577109 | + | 0.00333194i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −39.2769 | + | 22.6765i | −1.76358 | + | 1.01821i | ||||
\(497\) | −4.90552 | + | 5.40091i | −0.220043 | + | 0.242264i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0.886056 | + | 5.02507i | 0.0396653 | + | 0.224953i | 0.998196 | − | 0.0600353i | \(-0.0191213\pi\) |
−0.958531 | + | 0.284988i | \(0.908010\pi\) | |||||||
\(500\) | −7.75967 | + | 6.51114i | −0.347023 | + | 0.291187i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −8.52393 | − | 23.4193i | −0.380442 | − | 1.04525i | ||||
\(503\) | −12.9688 | − | 22.4626i | −0.578251 | − | 1.00156i | −0.995680 | − | 0.0928501i | \(-0.970402\pi\) |
0.417429 | − | 0.908709i | \(-0.362931\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.16873 | − | 5.48841i | 0.141007 | − | 0.244231i | ||||
\(506\) | −1.41130 | − | 0.248851i | −0.0627401 | − | 0.0110628i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0.929323 | + | 0.338246i | 0.0412321 | + | 0.0150072i | ||||
\(509\) | 25.9098 | + | 9.43040i | 1.14843 | + | 0.417995i | 0.844952 | − | 0.534843i | \(-0.179629\pi\) |
0.303480 | + | 0.952838i | \(0.401851\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −14.2709 | + | 15.7121i | −0.631309 | + | 0.695063i | ||||
\(512\) | − | 4.09759i | − | 0.181090i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 20.7372 | + | 11.9726i | 0.914680 | + | 0.528091i | ||||
\(515\) | 5.92995 | + | 1.04561i | 0.261305 | + | 0.0460751i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.05068 | + | 1.25216i | 0.0462090 | + | 0.0550697i | ||||
\(518\) | −9.47629 | − | 12.2380i | −0.416364 | − | 0.537705i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.447651 | − | 2.53875i | 0.0196308 | − | 0.111332i | ||||
\(521\) | 6.28697 | + | 10.8894i | 0.275437 | + | 0.477071i | 0.970245 | − | 0.242124i | \(-0.0778441\pi\) |
−0.694808 | + | 0.719195i | \(0.744511\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 2.96092 | + | 1.70949i | 0.129472 | + | 0.0747507i | 0.563337 | − | 0.826227i | \(-0.309517\pi\) |
−0.433865 | + | 0.900978i | \(0.642851\pi\) | |||||||
\(524\) | −0.994539 | + | 5.64031i | −0.0434467 | + | 0.246398i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −24.9192 | − | 9.06984i | −1.08653 | − | 0.395464i | ||||
\(527\) | −50.4714 | + | 8.89946i | −2.19857 | + | 0.387667i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −14.6993 | − | 12.3342i | −0.639099 | − | 0.536268i | ||||
\(530\) | 1.84132 | − | 3.18927i | 0.0799820 | − | 0.138533i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.196650 | − | 0.103471i | 0.00852588 | − | 0.00448604i | ||||
\(533\) | −1.27339 | + | 1.51756i | −0.0551565 | + | 0.0657330i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −5.27662 | + | 14.4974i | −0.228128 | + | 0.626777i | ||||
\(536\) | −27.0416 | + | 4.76816i | −1.16802 | + | 0.205953i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −2.50019 | − | 6.86922i | −0.107791 | − | 0.296153i | ||||
\(539\) | 0.0714035 | − | 0.908038i | 0.00307557 | − | 0.0391120i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.35102 | − | 2.34004i | −0.0580850 | − | 0.100606i | 0.835521 | − | 0.549459i | \(-0.185166\pi\) |
−0.893606 | + | 0.448853i | \(0.851833\pi\) | |||||||
\(542\) | 5.50332 | − | 31.2109i | 0.236388 | − | 1.34062i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 8.93255 | − | 24.5420i | 0.382980 | − | 1.05223i | ||||
\(545\) | 1.33717 | + | 7.58347i | 0.0572781 | + | 0.324840i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 23.8134 | + | 19.9818i | 1.01819 | + | 0.854362i | 0.989399 | − | 0.145224i | \(-0.0463903\pi\) |
0.0287897 | + | 0.999585i | \(0.490835\pi\) | |||||||
\(548\) | 4.06918i | 0.173827i | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.616631 | 0.0262932 | ||||||||
\(551\) | 0.0629985 | − | 0.0229296i | 0.00268383 | − | 0.000976833i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.991708 | + | 0.405680i | 0.0421717 | + | 0.0172513i | ||||
\(554\) | −5.45060 | + | 14.9754i | −0.231574 | + | 0.636244i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −7.23252 | + | 8.61938i | −0.306727 | + | 0.365543i | ||||
\(557\) | 31.1769i | 1.32101i | 0.750822 | + | 0.660504i | \(0.229657\pi\) | ||||
−0.750822 | + | 0.660504i | \(0.770343\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 6.26269 | + | 3.61577i | 0.264884 | + | 0.152931i | ||||
\(560\) | −4.15449 | + | 19.1375i | −0.175559 | + | 0.808706i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −35.6700 | + | 29.9307i | −1.50465 | + | 1.26255i | ||||
\(563\) | −4.71848 | − | 26.7598i | −0.198860 | − | 1.12779i | −0.906813 | − | 0.421533i | \(-0.861492\pi\) |
0.707953 | − | 0.706260i | \(-0.249619\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −14.7267 | + | 17.5506i | −0.619556 | + | 0.738358i | ||||
\(566\) | −36.7745 | −1.54575 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −5.25997 | −0.220704 | ||||||||
\(569\) | 10.4176 | − | 12.4152i | 0.436729 | − | 0.520473i | −0.502122 | − | 0.864797i | \(-0.667447\pi\) |
0.938851 | + | 0.344324i | \(0.111892\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 6.42712 | + | 36.4500i | 0.268967 | + | 1.52539i | 0.757497 | + | 0.652839i | \(0.226422\pi\) |
−0.488530 | + | 0.872547i | \(0.662467\pi\) | |||||||
\(572\) | 0.0793905 | − | 0.0666165i | 0.00331948 | − | 0.00278538i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 6.56524 | − | 7.22825i | 0.274028 | − | 0.301701i | ||||
\(575\) | 15.7210 | + | 9.07655i | 0.655613 | + | 0.378518i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 43.3528i | − | 1.80480i | −0.430899 | − | 0.902400i | \(-0.641804\pi\) | ||
0.430899 | − | 0.902400i | \(-0.358196\pi\) | |||||||
\(578\) | 16.0490 | − | 19.1264i | 0.667550 | − | 0.795555i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.310473 | − | 0.853018i | 0.0128917 | − | 0.0354196i | ||||
\(581\) | 10.1160 | − | 7.83317i | 0.419682 | − | 0.324975i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.178830 | + | 0.0650889i | −0.00740639 | + | 0.00269571i | ||||
\(584\) | −15.3021 | −0.633205 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 16.0029i | 0.661073i | ||||||||
\(587\) | −26.0768 | − | 21.8811i | −1.07631 | − | 0.903128i | −0.0806972 | − | 0.996739i | \(-0.525715\pi\) |
−0.995609 | + | 0.0936106i | \(0.970159\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.151642 | − | 0.860003i | −0.00624829 | − | 0.0354358i | ||||
\(590\) | 5.46917 | − | 15.0264i | 0.225162 | − | 0.618628i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 2.98622 | − | 16.9357i | 0.122733 | − | 0.696053i | ||||
\(593\) | −1.09399 | − | 1.89484i | −0.0449246 | − | 0.0778118i | 0.842689 | − | 0.538401i | \(-0.180971\pi\) |
−0.887613 | + | 0.460589i | \(0.847638\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −11.8080 | + | 18.7159i | −0.484081 | + | 0.767278i | ||||
\(596\) | 6.12306 | + | 16.8230i | 0.250810 | + | 0.689095i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 9.87153 | − | 1.74062i | 0.403677 | − | 0.0711791i | ||||
\(599\) | −0.819728 | + | 2.25218i | −0.0334932 | + | 0.0920217i | −0.955312 | − | 0.295599i | \(-0.904481\pi\) |
0.921819 | + | 0.387621i | \(0.126703\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −9.51673 | + | 11.3416i | −0.388196 | + | 0.462634i | −0.924383 | − | 0.381465i | \(-0.875420\pi\) |
0.536187 | + | 0.844099i | \(0.319864\pi\) | |||||||
\(602\) | −30.1465 | − | 19.0197i | −1.22868 | − | 0.775183i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −5.96276 | + | 10.3278i | −0.242621 | + | 0.420232i | ||||
\(605\) | −12.4940 | − | 10.4837i | −0.507951 | − | 0.426222i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 1.02359 | − | 0.180486i | 0.0415461 | − | 0.00732570i | −0.152836 | − | 0.988251i | \(-0.548841\pi\) |
0.194383 | + | 0.980926i | \(0.437730\pi\) | |||||||
\(608\) | 0.418181 | + | 0.152205i | 0.0169595 | + | 0.00617274i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 3.41427 | − | 19.3633i | 0.138240 | − | 0.783997i | ||||
\(611\) | −9.90146 | − | 5.71661i | −0.400570 | − | 0.231269i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −12.0184 | − | 20.8164i | −0.485417 | − | 0.840768i | 0.514442 | − | 0.857525i | \(-0.327999\pi\) |
−0.999860 | + | 0.0167574i | \(0.994666\pi\) | |||||||
\(614\) | −1.65458 | + | 9.38360i | −0.0667735 | + | 0.378691i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.519190 | − | 0.402028i | 0.0209188 | − | 0.0161982i | ||||
\(617\) | 10.4252 | + | 12.4243i | 0.419702 | + | 0.500182i | 0.933922 | − | 0.357477i | \(-0.116363\pi\) |
−0.514220 | + | 0.857659i | \(0.671918\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 2.85812 | + | 0.503964i | 0.114878 | + | 0.0202560i | 0.230791 | − | 0.973003i | \(-0.425869\pi\) |
−0.115914 | + | 0.993259i | \(0.536980\pi\) | |||||||
\(620\) | −10.2402 | − | 5.91216i | −0.411255 | − | 0.237438i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 29.5968i | − | 1.18672i | ||||||
\(623\) | −40.2455 | + | 12.8842i | −1.61240 | + | 0.516193i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 3.02102 | + | 1.09956i | 0.120841 | + | 0.0439825i | ||||
\(626\) | 0.795704 | + | 0.289612i | 0.0318027 | + | 0.0115752i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −3.43359 | − | 0.605435i | −0.137015 | − | 0.0241595i | ||||
\(629\) | 9.71647 | − | 16.8294i | 0.387421 | − | 0.671033i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −23.7928 | − | 41.2104i | −0.947177 | − | 1.64056i | −0.751333 | − | 0.659923i | \(-0.770589\pi\) |
−0.195844 | − | 0.980635i | \(-0.562745\pi\) | |||||||
\(632\) | 0.264194 | + | 0.725868i | 0.0105091 | + | 0.0288735i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −10.1461 | + | 8.51355i | −0.402951 | + | 0.338116i | ||||
\(635\) | −0.291415 | − | 1.65270i | −0.0115645 | − | 0.0655854i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.70298 | + | 6.13917i | 0.0674745 | + | 0.243243i | ||||
\(638\) | −0.133472 | + | 0.0770603i | −0.00528422 | + | 0.00305085i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −16.5198 | + | 9.53769i | −0.653001 | + | 0.377010i | ||||
\(641\) | 13.3093 | + | 36.5671i | 0.525687 | + | 1.44431i | 0.864103 | + | 0.503315i | \(0.167887\pi\) |
−0.338416 | + | 0.940997i | \(0.609891\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −11.9667 | + | 2.11005i | −0.471919 | + | 0.0832121i | −0.404550 | − | 0.914516i | \(-0.632572\pi\) |
−0.0673696 | + | 0.997728i | \(0.521461\pi\) | |||||||
\(644\) | −14.9012 | + | 2.02846i | −0.587188 | + | 0.0799326i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.702160 | + | 0.589183i | 0.0276261 | + | 0.0231811i | ||||
\(647\) | −1.58605 | + | 2.74713i | −0.0623542 | + | 0.108001i | −0.895517 | − | 0.445027i | \(-0.853194\pi\) |
0.833163 | + | 0.553027i | \(0.186528\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.715642 | + | 0.413176i | −0.0280914 | + | 0.0162186i | ||||
\(650\) | −4.05299 | + | 1.47517i | −0.158971 | + | 0.0578608i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −16.4941 | + | 13.8402i | −0.645958 | + | 0.542023i | ||||
\(653\) | 0.976148 | + | 1.16333i | 0.0381996 | + | 0.0455246i | 0.784806 | − | 0.619742i | \(-0.212763\pi\) |
−0.746606 | + | 0.665266i | \(0.768318\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 9.13269 | − | 3.32403i | 0.356844 | − | 0.129881i | ||||
\(656\) | 10.8492 | 0.423590 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 47.6624 | + | 30.0705i | 1.85807 | + | 1.17227i | ||||
\(659\) | 37.4050 | + | 6.59551i | 1.45709 | + | 0.256925i | 0.845384 | − | 0.534159i | \(-0.179372\pi\) |
0.611708 | + | 0.791083i | \(0.290483\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 16.6985 | + | 19.9005i | 0.649495 | + | 0.774038i | 0.985838 | − | 0.167701i | \(-0.0536344\pi\) |
−0.336342 | + | 0.941740i | \(0.609190\pi\) | |||||||
\(662\) | 34.4538 | + | 41.0604i | 1.33909 | + | 1.59586i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 9.08352 | + | 1.60167i | 0.352509 | + | 0.0621568i | ||||
\(665\) | −0.318908 | − | 0.201201i | −0.0123667 | − | 0.00780226i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −4.53718 | −0.175680 | ||||||||
\(668\) | 15.0991 | − | 5.49561i | 0.584200 | − | 0.212631i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −23.3002 | − | 27.7680i | −0.900164 | − | 1.07277i | ||||
\(671\) | −0.778354 | + | 0.653117i | −0.0300480 | + | 0.0252133i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −27.9585 | + | 10.1760i | −1.07772 | + | 0.392258i | −0.819058 | − | 0.573710i | \(-0.805503\pi\) |
−0.258661 | + | 0.965968i | \(0.583281\pi\) | |||||||
\(674\) | −10.2982 | + | 5.94568i | −0.396672 | + | 0.229019i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 5.32574 | − | 9.22446i | 0.204836 | − | 0.354787i | ||||
\(677\) | 13.8303 | + | 11.6050i | 0.531543 | + | 0.446018i | 0.868634 | − | 0.495455i | \(-0.164998\pi\) |
−0.337091 | + | 0.941472i | \(0.609443\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 27.3887 | − | 3.72836i | 1.05108 | − | 0.143081i | ||||
\(680\) | −15.7113 | + | 2.77033i | −0.602501 | + | 0.106237i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.686620 | + | 1.88647i | 0.0262920 | + | 0.0722368i | ||||
\(683\) | −5.53793 | + | 3.19733i | −0.211903 | + | 0.122342i | −0.602195 | − | 0.798349i | \(-0.705707\pi\) |
0.390292 | + | 0.920691i | \(0.372374\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 5.97996 | − | 3.45253i | 0.228483 | − | 0.131915i | ||||
\(686\) | −7.20067 | − | 30.5665i | −0.274923 | − | 1.16704i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −6.87710 | − | 39.0019i | −0.262187 | − | 1.48694i | ||||
\(689\) | 1.01970 | − | 0.855632i | 0.0388476 | − | 0.0325970i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 8.16206 | + | 22.4251i | 0.310500 | + | 0.853091i | 0.992556 | + | 0.121791i | \(0.0388637\pi\) |
−0.682056 | + | 0.731300i | \(0.738914\pi\) | |||||||
\(692\) | −1.41865 | − | 2.45718i | −0.0539291 | − | 0.0934080i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 9.01139 | − | 15.6082i | 0.342068 | − | 0.592478i | ||||
\(695\) | 18.8033 | + | 3.31553i | 0.713251 | + | 0.125765i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 11.5205 | + | 4.19311i | 0.436369 | + | 0.158825i | ||||
\(698\) | −11.7585 | − | 4.27975i | −0.445066 | − | 0.161991i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 6.16278 | − | 1.97295i | 0.232931 | − | 0.0745703i | ||||
\(701\) | 7.66638i | 0.289555i | 0.989464 | + | 0.144778i | \(0.0462467\pi\) | ||||
−0.989464 | + | 0.144778i | \(0.953753\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0.286764 | + | 0.165563i | 0.0108155 | + | 0.00624433i | ||||
\(704\) | 0.269933 | + | 0.0475965i | 0.0101735 | + | 0.00179386i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 18.1511 | + | 21.6316i | 0.683124 | + | 0.814116i | ||||
\(707\) | −8.92765 | + | 6.91300i | −0.335759 | + | 0.259990i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −2.85710 | + | 16.2034i | −0.107301 | + | 0.608533i | 0.882976 | + | 0.469419i | \(0.155537\pi\) |
−0.990276 | + | 0.139114i | \(0.955575\pi\) | |||||||
\(710\) | −3.47188 | − | 6.01347i | −0.130297 | − | 0.225682i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −26.3830 | − | 15.2323i | −0.988746 | − | 0.570853i | ||||
\(713\) | −10.2627 | + | 58.2025i | −0.384340 | + | 2.17970i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.165258 | − | 0.0601488i | −0.00618028 | − | 0.00224944i | ||||
\(716\) | −16.9562 | + | 2.98984i | −0.633684 | + | 0.111736i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 22.5229 | + | 18.8990i | 0.840549 | + | 0.705304i | ||||
\(719\) | −23.3674 | + | 40.4735i | −0.871457 | + | 1.50941i | −0.0109676 | + | 0.999940i | \(0.503491\pi\) |
−0.860490 | + | 0.509468i | \(0.829842\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −9.07331 | − | 5.72441i | −0.337908 | − | 0.213188i | ||||
\(722\) | 20.6984 | − | 24.6674i | 0.770316 | − | 0.918027i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 5.17871 | − | 14.2284i | 0.192465 | − | 0.528794i | ||||
\(725\) | 1.92262 | − | 0.339010i | 0.0714044 | − | 0.0125905i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −2.15305 | − | 5.91545i | −0.0798522 | − | 0.219392i | 0.893342 | − | 0.449378i | \(-0.148354\pi\) |
−0.973194 | + | 0.229986i | \(0.926132\pi\) | |||||||
\(728\) | −2.45076 | + | 3.88451i | −0.0908312 | + | 0.143969i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −10.1002 | − | 17.4941i | −0.373827 | − | 0.647487i | ||||
\(731\) | 7.77128 | − | 44.0731i | 0.287431 | − | 1.63010i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 4.65518 | − | 12.7900i | 0.171943 | − | 0.472409i | −0.823550 | − | 0.567243i | \(-0.808010\pi\) |
0.995493 | + | 0.0948343i | \(0.0302321\pi\) | |||||||
\(734\) | −7.86881 | − | 44.6262i | −0.290443 | − | 1.64718i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −23.0714 | − | 19.3592i | −0.850424 | − | 0.713590i | ||||
\(737\) | 1.87321i | 0.0690006i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 25.3280 | 0.931705 | 0.465852 | − | 0.884863i | \(-0.345748\pi\) | ||||
0.465852 | + | 0.884863i | \(0.345748\pi\) | |||||||
\(740\) | 4.21316 | − | 1.53346i | 0.154879 | − | 0.0563712i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −5.18778 | + | 4.01708i | −0.190449 | + | 0.147472i | ||||
\(743\) | −7.84457 | + | 21.5528i | −0.287789 | + | 0.790695i | 0.708586 | + | 0.705625i | \(0.249334\pi\) |
−0.996375 | + | 0.0850699i | \(0.972889\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 19.5274 | − | 23.2719i | 0.715430 | − | 0.852616i | ||||
\(746\) | 31.3907i | 1.14930i | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.555439 | − | 0.320683i | −0.0203089 | − | 0.0117253i | ||||
\(749\) | 18.4808 | − | 20.3471i | 0.675274 | − | 0.743469i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.154318 | − | 0.129489i | 0.00563116 | − | 0.00472510i | −0.639968 | − | 0.768402i | \(-0.721052\pi\) |
0.645599 | + | 0.763677i | \(0.276608\pi\) | |||||||
\(752\) | 10.8728 | + | 61.6629i | 0.396492 | + | 2.24862i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.692935 | − | 0.825808i | 0.0252352 | − | 0.0300741i | ||||
\(755\) | 20.2366 | 0.736486 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −32.2011 | −1.17037 | −0.585184 | − | 0.810901i | \(-0.698978\pi\) | ||||
−0.585184 | + | 0.810901i | \(0.698978\pi\) | |||||||
\(758\) | 38.3989 | − | 45.7620i | 1.39471 | − | 1.66215i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.0472048 | − | 0.267712i | −0.00171230 | − | 0.00971092i | ||||
\(761\) | 40.6980 | − | 34.1497i | 1.47530 | − | 1.23792i | 0.564269 | − | 0.825591i | \(-0.309158\pi\) |
0.911033 | − | 0.412334i | \(-0.135286\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 2.91056 | − | 13.4074i | 0.105369 | − | 0.485380i | ||||
\(764\) | 4.01082 | + | 2.31565i | 0.145106 | + | 0.0837772i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | − | 28.3312i | − | 1.02365i | ||||||
\(767\) | 3.71533 | − | 4.42776i | 0.134153 | − | 0.159877i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 2.05952 | − | 5.65850i | 0.0742683 | − | 0.204051i | −0.897003 | − | 0.442024i | \(-0.854261\pi\) |
0.971272 | + | 0.237973i | \(0.0764830\pi\) | |||||||
\(770\) | 0.802313 | + | 0.328204i | 0.0289134 | + | 0.0118277i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 14.5292 | − | 5.28821i | 0.522919 | − | 0.190327i | ||||
\(773\) | 30.0117 | 1.07944 | 0.539722 | − | 0.841843i | \(-0.318529\pi\) | ||||
0.539722 | + | 0.841843i | \(0.318529\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 25.4300i | − | 0.913474i | ||||||
\(776\) | 15.2652 | + | 12.8090i | 0.547987 | + | 0.459816i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 2.79411 | + | 15.8462i | 0.100174 | + | 0.568113i | ||||
\(779\) | −0.0714481 | + | 0.196302i | −0.00255989 | + | 0.00703325i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.0623103 | + | 0.353379i | −0.00222964 | + | 0.0126449i | ||||
\(782\) | −31.0166 | − | 53.7224i | −1.10915 | − | 1.92111i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 19.7605 | − | 28.7557i | 0.705731 | − | 1.02699i | ||||
\(785\) | 2.02353 | + | 5.55961i | 0.0722230 | + | 0.198431i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 21.3412 | − | 3.76304i | 0.760733 | − | 0.134138i | 0.220193 | − | 0.975456i | \(-0.429331\pi\) |
0.540540 | + | 0.841319i | \(0.318220\pi\) | |||||||
\(788\) | −6.19215 | + | 17.0128i | −0.220586 | + | 0.606056i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −0.655466 | + | 0.781154i | −0.0233204 | + | 0.0277922i | ||||
\(791\) | 36.1238 | − | 19.0072i | 1.28442 | − | 0.675818i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 3.55351 | − | 6.15486i | 0.126189 | − | 0.218566i | ||||
\(794\) | 49.4277 | + | 41.4747i | 1.75412 | + | 1.47188i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −11.0101 | + | 1.94138i | −0.390243 | + | 0.0688103i | ||||
\(797\) | −24.4999 | − | 8.91724i | −0.867832 | − | 0.315865i | −0.130543 | − | 0.991443i | \(-0.541672\pi\) |
−0.737289 | + | 0.675578i | \(0.763894\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −12.2866 | + | 69.6805i | −0.434667 | + | 2.46512i | ||||
\(800\) | 11.2230 | + | 6.47958i | 0.396792 | + | 0.229088i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −4.76866 | − | 8.25956i | −0.168387 | − | 0.291655i | ||||
\(803\) | −0.181271 | + | 1.02804i | −0.00639690 | + | 0.0362786i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 15.6240 | + | 20.1773i | 0.550674 | + | 0.711157i | ||||
\(806\) | −9.02603 | − | 10.7568i | −0.317928 | − | 0.378892i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −8.01647 | − | 1.41352i | −0.282018 | − | 0.0497275i | ||||
\(809\) | −27.9055 | − | 16.1113i | −0.981106 | − | 0.566442i | −0.0785018 | − | 0.996914i | \(-0.525014\pi\) |
−0.902604 | + | 0.430472i | \(0.858347\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 40.6903i | − | 1.42883i | −0.699722 | − | 0.714415i | \(-0.746693\pi\) | ||
0.699722 | − | 0.714415i | \(-0.253307\pi\) | |||||||
\(812\) | −1.08740 | + | 1.19721i | −0.0381603 | + | 0.0420140i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −0.715312 | − | 0.260352i | −0.0250717 | − | 0.00912535i | ||||
\(815\) | 34.3338 | + | 12.4965i | 1.20266 | + | 0.437732i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.750980 | + | 0.132418i | 0.0262735 | + | 0.00463272i | ||||
\(818\) | −1.87000 | + | 3.23893i | −0.0653829 | + | 0.113247i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 1.41429 | + | 2.44962i | 0.0493890 | + | 0.0855443i | ||||
\(821\) | −5.34412 | − | 14.6829i | −0.186511 | − | 0.512435i | 0.810832 | − | 0.585279i | \(-0.199015\pi\) |
−0.997343 | + | 0.0728435i | \(0.976793\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −17.5657 | + | 14.7394i | −0.612301 | + | 0.513782i | −0.895373 | − | 0.445317i | \(-0.853091\pi\) |
0.283072 | + | 0.959099i | \(0.408647\pi\) | |||||||
\(824\) | −1.34303 | − | 7.61670i | −0.0467867 | − | 0.265340i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −19.1552 | + | 21.0897i | −0.666496 | + | 0.733803i | ||||
\(827\) | 10.7093 | − | 6.18300i | 0.372398 | − | 0.215004i | −0.302108 | − | 0.953274i | \(-0.597690\pi\) |
0.674506 | + | 0.738270i | \(0.264357\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −44.8345 | + | 25.8852i | −1.55717 | + | 0.899030i | −0.559640 | + | 0.828736i | \(0.689061\pi\) |
−0.997526 | + | 0.0702945i | \(0.977606\pi\) | |||||||
\(830\) | 4.16452 | + | 11.4419i | 0.144553 | + | 0.397155i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −1.88808 | + | 0.332919i | −0.0654574 | + | 0.0115419i | ||||
\(833\) | 32.0970 | − | 22.8977i | 1.11209 | − | 0.793360i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −20.8871 | − | 17.5264i | −0.722830 | − | 0.606526i | ||||
\(836\) | 0.00546425 | − | 0.00946436i | 0.000188985 | − | 0.000327332i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 18.1106 | − | 10.4561i | 0.625619 | − | 0.361201i | ||||
\(839\) | 21.8923 | − | 7.96815i | 0.755806 | − | 0.275091i | 0.0647595 | − | 0.997901i | \(-0.479372\pi\) |
0.691047 | + | 0.722810i | \(0.257150\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 21.8415 | − | 18.3272i | 0.753155 | − | 0.631972i | ||||
\(842\) | −19.1528 | − | 22.8254i | −0.660048 | − | 0.786615i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 16.8943 | − | 6.14901i | 0.581525 | − | 0.211658i | ||||
\(845\) | −18.0747 | −0.621789 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 13.5309 | + | 25.7159i | 0.464927 | + | 0.883610i | ||||
\(848\) | −7.17919 | − | 1.26588i | −0.246534 | − | 0.0434706i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 17.1573 | + | 20.4472i | 0.588490 | + | 0.701335i | ||||
\(851\) | −14.4047 | − | 17.1668i | −0.493785 | − | 0.588471i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −33.4290 | − | 5.89444i | −1.14459 | − | 0.201822i | −0.430976 | − | 0.902363i | \(-0.641831\pi\) |
−0.713612 | + | 0.700541i | \(0.752942\pi\) | |||||||
\(854\) | −18.6922 | + | 29.6275i | −0.639633 | + | 1.01383i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 19.8162 | 0.677303 | ||||||||
\(857\) | 28.5626 | − | 10.3959i | 0.975680 | − | 0.355119i | 0.195521 | − | 0.980699i | \(-0.437360\pi\) |
0.780159 | + | 0.625581i | \(0.215138\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −22.8877 | − | 27.2765i | −0.780919 | − | 0.930663i | 0.218056 | − | 0.975936i | \(-0.430029\pi\) |
−0.998975 | + | 0.0452734i | \(0.985584\pi\) | |||||||
\(860\) | 7.90968 | − | 6.63701i | 0.269718 | − | 0.226320i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 56.8268 | − | 20.6833i | 1.93553 | − | 0.704475i | ||||
\(863\) | −0.566188 | + | 0.326889i | −0.0192733 | + | 0.0111274i | −0.509606 | − | 0.860408i | \(-0.670209\pi\) |
0.490332 | + | 0.871535i | \(0.336875\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −2.40734 | + | 4.16964i | −0.0818521 | + | 0.141772i | ||||
\(866\) | 10.2904 | + | 8.63468i | 0.349683 | + | 0.293419i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 12.8982 | + | 16.6571i | 0.437792 | + | 0.565377i | ||||
\(869\) | 0.0518955 | − | 0.00915058i | 0.00176043 | − | 0.000310412i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −4.48129 | − | 12.3122i | −0.151843 | − | 0.417184i | ||||
\(872\) | 8.56571 | − | 4.94541i | 0.290071 | − | 0.167473i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0.915398 | − | 0.528505i | 0.0309638 | − | 0.0178770i | ||||
\(875\) | −22.6699 | − | 20.5905i | −0.766383 | − | 0.696087i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 6.18570 | + | 35.0809i | 0.208876 | + | 1.18460i | 0.891222 | + | 0.453567i | \(0.149849\pi\) |
−0.682346 | + | 0.731030i | \(0.739040\pi\) | |||||||
\(878\) | 21.8116 | − | 18.3021i | 0.736104 | − | 0.617665i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.329406 | + | 0.905035i | 0.0111043 | + | 0.0305087i | ||||
\(881\) | 23.1789 | + | 40.1470i | 0.780916 | + | 1.35259i | 0.931409 | + | 0.363975i | \(0.118581\pi\) |
−0.150492 | + | 0.988611i | \(0.548086\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 7.99748 | − | 13.8520i | 0.269137 | − | 0.466158i | −0.699503 | − | 0.714630i | \(-0.746595\pi\) |
0.968639 | + | 0.248472i | \(0.0799284\pi\) | |||||||
\(884\) | 4.41796 | + | 0.779005i | 0.148592 | + | 0.0262008i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 27.6523 | + | 10.0646i | 0.928999 | + | 0.338128i | ||||
\(887\) | −20.8828 | − | 7.60073i | −0.701177 | − | 0.255207i | −0.0332635 | − | 0.999447i | \(-0.510590\pi\) |
−0.667913 | + | 0.744239i | \(0.732812\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.634311 | + | 2.92193i | −0.0212741 | + | 0.0979983i | ||||
\(890\) | − | 40.2166i | − | 1.34806i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −14.9141 | − | 8.61063i | −0.499359 | − | 0.288305i | ||||
\(893\) | −1.18732 | − | 0.209356i | −0.0397320 | − | 0.00700583i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 18.7805 | + | 22.3817i | 0.627762 | + | 0.748137i | ||||
\(896\) | 33.6754 | − | 4.58416i | 1.12502 | − | 0.153146i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 2.25441 | − | 12.7854i | 0.0752305 | − | 0.426653i | ||||
\(899\) | 3.17799 | + | 5.50444i | 0.105992 | + | 0.183583i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −7.13414 | − | 4.11890i | −0.237673 | − | 0.137220i | ||||
\(902\) | 0.0833923 | − | 0.472941i | 0.00277666 | − | 0.0157472i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 27.6528 | + | 10.0648i | 0.919718 | + | 0.334750i | ||||
\(905\) | −25.3036 | + | 4.46171i | −0.841121 | + | 0.148312i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 17.5317 | + | 14.7108i | 0.582130 | + | 0.488465i | 0.885646 | − | 0.464361i | \(-0.153716\pi\) |
−0.303516 | + | 0.952826i | \(0.598160\pi\) | |||||||
\(908\) | 0.139438 | − | 0.241513i | 0.00462740 | − | 0.00801490i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −6.05861 | − | 0.237842i | −0.200841 | − | 0.00788439i | ||||
\(911\) | 18.2077 | − | 21.6991i | 0.603248 | − | 0.718923i | −0.374846 | − | 0.927087i | \(-0.622304\pi\) |
0.978094 | + | 0.208164i | \(0.0667488\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.215209 | − | 0.591282i | 0.00712238 | − | 0.0195686i | ||||
\(914\) | 49.6767 | − | 8.75934i | 1.64316 | − | 0.289733i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −2.59217 | − | 7.12192i | −0.0856476 | − | 0.235315i | ||||
\(917\) | −17.3024 | − | 0.679237i | −0.571374 | − | 0.0224304i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 0.486170 | + | 0.842071i | 0.0160373 | + | 0.0277774i | 0.873933 | − | 0.486047i | \(-0.161562\pi\) |
−0.857895 | + | 0.513824i | \(0.828228\pi\) | |||||||
\(920\) | −3.19468 | + | 18.1180i | −0.105326 | + | 0.597331i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −0.274057 | + | 0.752965i | −0.00902558 | + | 0.0247976i | ||||
\(923\) | −0.435837 | − | 2.47176i | −0.0143458 | − | 0.0813588i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 7.38662 | + | 6.19811i | 0.242871 | + | 0.203793i | ||||
\(926\) | − | 4.37230i | − | 0.143683i | ||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −3.23901 | −0.106326 | ||||||||
\(929\) | 2.35873 | − | 0.858508i | 0.0773875 | − | 0.0281667i | −0.303036 | − | 0.952979i | \(-0.598000\pi\) |
0.380424 | + | 0.924812i | \(0.375778\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.390164 | + | 0.546913i | 0.0127871 | + | 0.0179244i | ||||
\(932\) | 2.19771 | − | 6.03817i | 0.0719885 | − | 0.197787i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 5.78884 | − | 6.89887i | 0.189417 | − | 0.225738i | ||||
\(935\) | 1.08835i | 0.0355927i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 6.98943 | + | 4.03535i | 0.228335 | + | 0.131829i | 0.609804 | − | 0.792553i | \(-0.291248\pi\) |
−0.381469 | + | 0.924382i | \(0.624582\pi\) | |||||||
\(938\) | 19.6911 | + | 61.5079i | 0.642937 | + | 2.00830i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −12.5054 | + | 10.4933i | −0.407881 | + | 0.342252i | ||||
\(941\) | −8.17252 | − | 46.3487i | −0.266417 | − | 1.51092i | −0.764971 | − | 0.644065i | \(-0.777247\pi\) |
0.498554 | − | 0.866858i | \(-0.333864\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 9.08759 | − | 10.8302i | 0.295933 | − | 0.352679i | ||||
\(944\) | −31.6544 | −1.03026 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −1.75305 | −0.0569964 | ||||||||
\(947\) | 23.2570 | − | 27.7166i | 0.755749 | − | 0.900667i | −0.241822 | − | 0.970321i | \(-0.577745\pi\) |
0.997571 | + | 0.0696536i | \(0.0221894\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.26792 | − | 7.19073i | −0.0411584 | − | 0.233421i | ||||
\(950\) | −0.348409 | + | 0.292350i | −0.0113039 | + | 0.00948509i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 27.7772 | + | 6.03005i | 0.900263 | + | 0.195435i | ||||
\(953\) | −41.0448 | − | 23.6972i | −1.32957 | − | 0.767629i | −0.344339 | − | 0.938845i | \(-0.611897\pi\) |
−0.985233 | + | 0.171216i | \(0.945230\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | − | 7.85893i | − | 0.254309i | ||||||
\(956\) | 2.64681 | − | 3.15435i | 0.0856039 | − | 0.102019i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −19.1016 | + | 52.4811i | −0.617143 | + | 1.69559i | ||||
\(959\) | −12.1901 | + | 1.65941i | −0.393639 | + | 0.0535852i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 48.6682 | − | 17.7138i | 1.56994 | − | 0.571413i | ||||
\(962\) | 5.32444 | 0.171667 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 5.80324i | 0.186910i | ||||||||
\(965\) | −20.0989 | − | 16.8650i | −0.647007 | − | 0.542903i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −9.82570 | − | 55.7243i | −0.315973 | − | 1.79197i | −0.566710 | − | 0.823918i | \(-0.691784\pi\) |
0.250736 | − | 0.968055i | \(-0.419327\pi\) | |||||||
\(968\) | −7.16496 | + | 19.6856i | −0.230290 | + | 0.632718i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −4.56802 | + | 25.9066i | −0.146670 | + | 0.831809i | ||||
\(971\) | −3.04373 | − | 5.27190i | −0.0976780 | − | 0.169183i | 0.813045 | − | 0.582201i | \(-0.197808\pi\) |
−0.910723 | + | 0.413017i | \(0.864475\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −28.7706 | − | 18.1516i | −0.922344 | − | 0.581913i | ||||
\(974\) | 14.0580 | + | 38.6241i | 0.450448 | + | 1.23760i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −38.3304 | + | 6.75868i | −1.22693 | + | 0.216340i | ||||
\(977\) | −5.88779 | + | 16.1766i | −0.188367 | + | 0.517535i | −0.997545 | − | 0.0700293i | \(-0.977691\pi\) |
0.809178 | + | 0.587564i | \(0.199913\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.33588 | + | 1.59204i | −0.0426950 | + | 0.0508819i | ||||
\(980\) | 9.06865 | + | 0.713113i | 0.289687 | + | 0.0227796i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 9.77699 | − | 16.9342i | 0.311996 | − | 0.540393i | ||||
\(983\) | 8.63928 | + | 7.24922i | 0.275550 | + | 0.231214i | 0.770081 | − | 0.637946i | \(-0.220216\pi\) |
−0.494531 | + | 0.869160i | \(0.664660\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 30.2554 | − | 5.33484i | 0.964017 | − | 0.169982i | ||||
\(986\) | −6.26906 | − | 2.28175i | −0.199647 | − | 0.0726657i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.0132738 | + | 0.0752794i | −0.000422296 | + | 0.00239496i | ||||
\(989\) | −44.6940 | − | 25.8041i | −1.42119 | − | 0.820523i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −17.6534 | − | 30.5766i | −0.560780 | − | 0.971299i | −0.997429 | − | 0.0716671i | \(-0.977168\pi\) |
0.436649 | − | 0.899632i | \(-0.356165\pi\) | |||||||
\(992\) | −7.32633 | + | 41.5497i | −0.232611 | + | 1.31920i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 1.66871 | + | 12.2584i | 0.0529283 | + | 0.388813i | ||||
\(995\) | 12.1946 | + | 14.5330i | 0.386596 | + | 0.460727i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 1.60718 | + | 0.283390i | 0.0509001 | + | 0.00897505i | 0.199040 | − | 0.979991i | \(-0.436218\pi\) |
−0.148140 | + | 0.988966i | \(0.547329\pi\) | |||||||
\(998\) | 7.49288 | + | 4.32601i | 0.237183 | + | 0.136938i | ||||
\(999\) | 0 | 0 |
(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 | 567.2.ba.a.143.18 | 132 | ||
3.2 | odd | 2 | 189.2.ba.a.101.5 | ✓ | 132 | ||
7.5 | odd | 6 | 567.2.bd.a.467.5 | 132 | |||
21.5 | even | 6 | 189.2.bd.a.47.18 | yes | 132 | ||
27.4 | even | 9 | 189.2.bd.a.185.18 | yes | 132 | ||
27.23 | odd | 18 | 567.2.bd.a.17.5 | 132 | |||
189.131 | even | 18 | inner | 567.2.ba.a.341.18 | 132 | ||
189.166 | odd | 18 | 189.2.ba.a.131.5 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.ba.a.101.5 | ✓ | 132 | 3.2 | odd | 2 | ||
189.2.ba.a.131.5 | yes | 132 | 189.166 | odd | 18 | ||
189.2.bd.a.47.18 | yes | 132 | 21.5 | even | 6 | ||
189.2.bd.a.185.18 | yes | 132 | 27.4 | even | 9 | ||
567.2.ba.a.143.18 | 132 | 1.1 | even | 1 | trivial | ||
567.2.ba.a.341.18 | 132 | 189.131 | even | 18 | inner | ||
567.2.bd.a.17.5 | 132 | 27.23 | odd | 18 | |||
567.2.bd.a.467.5 | 132 | 7.5 | odd | 6 |