Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(4,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.y (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 4.1 | ||
Character | \(\chi\) | \(=\) | 231.4 |
Dual form | 231.2.y.b.58.1 |
$q$-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 \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.266544 | + | 2.53600i | −0.188475 | + | 1.79322i | 0.336068 | + | 0.941838i | \(0.390903\pi\) |
−0.524543 | + | 0.851384i | \(0.675764\pi\) | |||||||
\(3\) | 0.669131 | + | 0.743145i | 0.386323 | + | 0.429055i | ||||
\(4\) | −4.40395 | − | 0.936088i | −2.20197 | − | 0.468044i | ||||
\(5\) | −2.83093 | − | 1.26041i | −1.26603 | − | 0.563673i | −0.339753 | − | 0.940515i | \(-0.610343\pi\) |
−0.926278 | + | 0.376842i | \(0.877010\pi\) | |||||||
\(6\) | −2.06297 | + | 1.49883i | −0.842203 | + | 0.611896i | ||||
\(7\) | −2.61901 | − | 0.375200i | −0.989894 | − | 0.141812i | ||||
\(8\) | 1.97180 | − | 6.06857i | 0.697136 | − | 2.14557i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | 3.95097 | − | 6.84328i | 1.24941 | − | 2.16404i | ||||
\(11\) | 2.24626 | + | 2.44014i | 0.677274 | + | 0.735731i | ||||
\(12\) | −2.25117 | − | 3.89914i | −0.649856 | − | 1.12558i | ||||
\(13\) | −2.46901 | − | 1.79384i | −0.684780 | − | 0.497521i | 0.190160 | − | 0.981753i | \(-0.439099\pi\) |
−0.874940 | + | 0.484232i | \(0.839099\pi\) | |||||||
\(14\) | 1.64959 | − | 6.54180i | 0.440871 | − | 1.74837i | ||||
\(15\) | −0.957594 | − | 2.94717i | −0.247250 | − | 0.760956i | ||||
\(16\) | 6.63815 | + | 2.95549i | 1.65954 | + | 0.738874i | ||||
\(17\) | 0.741373 | + | 7.05370i | 0.179809 | + | 1.71077i | 0.597239 | + | 0.802063i | \(0.296264\pi\) |
−0.417430 | + | 0.908709i | \(0.637069\pi\) | |||||||
\(18\) | −2.49424 | − | 0.530168i | −0.587899 | − | 0.124962i | ||||
\(19\) | −6.37455 | + | 1.35495i | −1.46242 | + | 0.310848i | −0.869308 | − | 0.494270i | \(-0.835435\pi\) |
−0.593115 | + | 0.805118i | \(0.702102\pi\) | |||||||
\(20\) | 11.2874 | + | 8.20079i | 2.52394 | + | 1.83375i | ||||
\(21\) | −1.47363 | − | 2.19736i | −0.321573 | − | 0.479504i | ||||
\(22\) | −6.78693 | + | 5.04612i | −1.44698 | + | 1.07584i | ||||
\(23\) | −0.779405 | − | 1.34997i | −0.162517 | − | 0.281488i | 0.773254 | − | 0.634097i | \(-0.218628\pi\) |
−0.935771 | + | 0.352609i | \(0.885295\pi\) | |||||||
\(24\) | 5.82922 | − | 2.59534i | 1.18988 | − | 0.529771i | ||||
\(25\) | 3.07987 | + | 3.42055i | 0.615975 | + | 0.684109i | ||||
\(26\) | 5.20727 | − | 5.78326i | 1.02123 | − | 1.13419i | ||||
\(27\) | −0.809017 | + | 0.587785i | −0.155695 | + | 0.113119i | ||||
\(28\) | 11.1828 | + | 4.10399i | 2.11335 | + | 0.775581i | ||||
\(29\) | 1.45432 | + | 4.47592i | 0.270060 | + | 0.831158i | 0.990484 | + | 0.137625i | \(0.0439469\pi\) |
−0.720425 | + | 0.693533i | \(0.756053\pi\) | |||||||
\(30\) | 7.72926 | − | 1.64291i | 1.41116 | − | 0.299952i | ||||
\(31\) | −2.98307 | + | 1.32815i | −0.535776 | + | 0.238543i | −0.656744 | − | 0.754114i | \(-0.728067\pi\) |
0.120968 | + | 0.992656i | \(0.461400\pi\) | |||||||
\(32\) | −2.88361 | + | 4.99456i | −0.509756 | + | 0.882923i | ||||
\(33\) | −0.310336 | + | 3.30207i | −0.0540225 | + | 0.574817i | ||||
\(34\) | −18.0858 | −3.10168 | ||||||||
\(35\) | 6.94133 | + | 4.36320i | 1.17330 | + | 0.737515i | ||||
\(36\) | 1.39130 | − | 4.28198i | 0.231883 | − | 0.713663i | ||||
\(37\) | 4.65214 | − | 5.16673i | 0.764807 | − | 0.849405i | −0.227426 | − | 0.973795i | \(-0.573031\pi\) |
0.992233 | + | 0.124391i | \(0.0396976\pi\) | |||||||
\(38\) | −1.73706 | − | 16.5270i | −0.281788 | − | 2.68104i | ||||
\(39\) | −0.319006 | − | 3.03514i | −0.0510819 | − | 0.486012i | ||||
\(40\) | −13.2309 | + | 14.6944i | −2.09199 | + | 2.32339i | ||||
\(41\) | −0.724748 | + | 2.23054i | −0.113187 | + | 0.348352i | −0.991564 | − | 0.129614i | \(-0.958626\pi\) |
0.878378 | + | 0.477967i | \(0.158626\pi\) | |||||||
\(42\) | 5.96530 | − | 3.15144i | 0.920466 | − | 0.486278i | ||||
\(43\) | 4.80759 | 0.733150 | 0.366575 | − | 0.930388i | \(-0.380530\pi\) | ||||
0.366575 | + | 0.930388i | \(0.380530\pi\) | |||||||
\(44\) | −7.60824 | − | 12.8490i | −1.14699 | − | 1.93705i | ||||
\(45\) | 1.54942 | − | 2.68367i | 0.230974 | − | 0.400058i | ||||
\(46\) | 3.63127 | − | 1.61674i | 0.535401 | − | 0.238376i | ||||
\(47\) | −1.56680 | + | 0.333033i | −0.228541 | + | 0.0485779i | −0.320758 | − | 0.947161i | \(-0.603938\pi\) |
0.0922176 | + | 0.995739i | \(0.470604\pi\) | |||||||
\(48\) | 2.24543 | + | 6.91072i | 0.324100 | + | 0.997476i | ||||
\(49\) | 6.71845 | + | 1.96531i | 0.959779 | + | 0.280758i | ||||
\(50\) | −9.49543 | + | 6.89883i | −1.34286 | + | 0.975642i | ||||
\(51\) | −4.74584 | + | 5.27079i | −0.664551 | + | 0.738058i | ||||
\(52\) | 9.19419 | + | 10.2112i | 1.27501 | + | 1.41604i | ||||
\(53\) | −4.86180 | + | 2.16461i | −0.667820 | + | 0.297333i | −0.712504 | − | 0.701669i | \(-0.752439\pi\) |
0.0446834 | + | 0.999001i | \(0.485772\pi\) | |||||||
\(54\) | −1.27498 | − | 2.20834i | −0.173503 | − | 0.300517i | ||||
\(55\) | −3.28343 | − | 9.73909i | −0.442738 | − | 1.31322i | ||||
\(56\) | −7.44109 | + | 15.1539i | −0.994358 | + | 2.02502i | ||||
\(57\) | −5.27234 | − | 3.83058i | −0.698338 | − | 0.507372i | ||||
\(58\) | −11.7386 | + | 2.49511i | −1.54135 | + | 0.327624i | ||||
\(59\) | −5.67070 | − | 1.20535i | −0.738263 | − | 0.156923i | −0.176593 | − | 0.984284i | \(-0.556508\pi\) |
−0.561670 | + | 0.827361i | \(0.689841\pi\) | |||||||
\(60\) | 1.45838 | + | 13.8756i | 0.188276 | + | 1.79133i | ||||
\(61\) | 1.00640 | + | 0.448077i | 0.128856 | + | 0.0573704i | 0.470152 | − | 0.882586i | \(-0.344199\pi\) |
−0.341296 | + | 0.939956i | \(0.610866\pi\) | |||||||
\(62\) | −2.57306 | − | 7.91908i | −0.326780 | − | 1.00572i | ||||
\(63\) | 0.646906 | − | 2.56545i | 0.0815025 | − | 0.323216i | ||||
\(64\) | −0.140386 | − | 0.101996i | −0.0175482 | − | 0.0127495i | ||||
\(65\) | 4.72861 | + | 8.19020i | 0.586512 | + | 1.01587i | ||||
\(66\) | −8.29134 | − | 1.66716i | −1.02059 | − | 0.205213i | ||||
\(67\) | −0.148356 | + | 0.256960i | −0.0181246 | + | 0.0313927i | −0.874945 | − | 0.484222i | \(-0.839103\pi\) |
0.856821 | + | 0.515614i | \(0.172436\pi\) | |||||||
\(68\) | 3.33791 | − | 31.7581i | 0.404781 | − | 3.85124i | ||||
\(69\) | 0.481699 | − | 1.48252i | 0.0579897 | − | 0.178474i | ||||
\(70\) | −12.9152 | + | 16.4402i | −1.54367 | + | 1.96498i | ||||
\(71\) | −6.72342 | + | 4.88485i | −0.797924 | + | 0.579725i | −0.910304 | − | 0.413940i | \(-0.864152\pi\) |
0.112381 | + | 0.993665i | \(0.464152\pi\) | |||||||
\(72\) | 5.82922 | + | 2.59534i | 0.686980 | + | 0.305863i | ||||
\(73\) | 2.97938 | + | 0.633287i | 0.348710 | + | 0.0741207i | 0.378937 | − | 0.925422i | \(-0.376290\pi\) |
−0.0302268 | + | 0.999543i | \(0.509623\pi\) | |||||||
\(74\) | 11.8628 | + | 13.1750i | 1.37902 | + | 1.53156i | ||||
\(75\) | −0.481124 | + | 4.57759i | −0.0555554 | + | 0.528574i | ||||
\(76\) | 29.3416 | 3.36571 | ||||||||
\(77\) | −4.96745 | − | 7.23356i | −0.566094 | − | 0.824341i | ||||
\(78\) | 7.78215 | 0.881155 | ||||||||
\(79\) | −1.64680 | + | 15.6683i | −0.185279 | + | 1.76282i | 0.368005 | + | 0.929824i | \(0.380041\pi\) |
−0.553285 | + | 0.832992i | \(0.686626\pi\) | |||||||
\(80\) | −15.0670 | − | 16.7336i | −1.68454 | − | 1.87087i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | −5.46348 | − | 2.43250i | −0.603340 | − | 0.268624i | ||||
\(83\) | 8.60152 | − | 6.24937i | 0.944139 | − | 0.685957i | −0.00527445 | − | 0.999986i | \(-0.501679\pi\) |
0.949413 | + | 0.314029i | \(0.101679\pi\) | |||||||
\(84\) | 4.43288 | + | 11.0565i | 0.483667 | + | 1.20637i | ||||
\(85\) | 6.79178 | − | 20.9030i | 0.736672 | − | 2.26724i | ||||
\(86\) | −1.28143 | + | 12.1920i | −0.138181 | + | 1.31470i | ||||
\(87\) | −2.35313 | + | 4.07575i | −0.252282 | + | 0.436966i | ||||
\(88\) | 19.2374 | − | 8.82015i | 2.05071 | − | 0.940231i | ||||
\(89\) | 1.06044 | + | 1.83674i | 0.112407 | + | 0.194695i | 0.916740 | − | 0.399484i | \(-0.130811\pi\) |
−0.804333 | + | 0.594178i | \(0.797477\pi\) | |||||||
\(90\) | 6.39280 | + | 4.64464i | 0.673861 | + | 0.489588i | ||||
\(91\) | 5.79331 | + | 5.62446i | 0.607304 | + | 0.589603i | ||||
\(92\) | 2.16877 | + | 6.67479i | 0.226110 | + | 0.695895i | ||||
\(93\) | −2.98307 | − | 1.32815i | −0.309330 | − | 0.137723i | ||||
\(94\) | −0.426951 | − | 4.06216i | −0.0440366 | − | 0.418980i | ||||
\(95\) | 19.7537 | + | 4.19878i | 2.02669 | + | 0.430786i | ||||
\(96\) | −5.64120 | + | 1.19907i | −0.575752 | + | 0.122380i | ||||
\(97\) | −9.39758 | − | 6.82775i | −0.954180 | − | 0.693252i | −0.00238834 | − | 0.999997i | \(-0.500760\pi\) |
−0.951792 | + | 0.306745i | \(0.900760\pi\) | |||||||
\(98\) | −6.77478 | + | 16.5141i | −0.684356 | + | 1.66818i | ||||
\(99\) | −2.66157 | + | 1.97889i | −0.267498 | + | 0.198886i | ||||
\(100\) | −10.3617 | − | 17.9469i | −1.03617 | − | 1.79469i | ||||
\(101\) | −0.0192069 | + | 0.00855147i | −0.00191116 | + | 0.000850904i | −0.407692 | − | 0.913120i | \(-0.633666\pi\) |
0.405781 | + | 0.913970i | \(0.367000\pi\) | |||||||
\(102\) | −12.1017 | − | 13.4403i | −1.19825 | − | 1.33079i | ||||
\(103\) | 6.48177 | − | 7.19873i | 0.638667 | − | 0.709312i | −0.333723 | − | 0.942671i | \(-0.608305\pi\) |
0.972391 | + | 0.233359i | \(0.0749717\pi\) | |||||||
\(104\) | −15.7544 | + | 11.4463i | −1.54485 | + | 1.12240i | ||||
\(105\) | 1.40217 | + | 8.07796i | 0.136838 | + | 0.788329i | ||||
\(106\) | −4.19357 | − | 12.9065i | −0.407316 | − | 1.25359i | ||||
\(107\) | −13.5545 | + | 2.88111i | −1.31037 | + | 0.278527i | −0.809563 | − | 0.587033i | \(-0.800296\pi\) |
−0.500805 | + | 0.865560i | \(0.666963\pi\) | |||||||
\(108\) | 4.11309 | − | 1.83127i | 0.395782 | − | 0.176214i | ||||
\(109\) | 5.21036 | − | 9.02461i | 0.499062 | − | 0.864401i | −0.500937 | − | 0.865484i | \(-0.667011\pi\) |
0.999999 | + | 0.00108239i | \(0.000344537\pi\) | |||||||
\(110\) | 25.5735 | − | 5.73088i | 2.43834 | − | 0.546418i | ||||
\(111\) | 6.95252 | 0.659904 | ||||||||
\(112\) | −16.2765 | − | 10.2311i | −1.53798 | − | 0.966749i | ||||
\(113\) | 1.90279 | − | 5.85617i | 0.178999 | − | 0.550902i | −0.820794 | − | 0.571224i | \(-0.806469\pi\) |
0.999794 | + | 0.0203212i | \(0.00646889\pi\) | |||||||
\(114\) | 11.1196 | − | 12.3496i | 1.04145 | − | 1.15665i | ||||
\(115\) | 0.504925 | + | 4.80404i | 0.0470845 | + | 0.447979i | ||||
\(116\) | −2.21487 | − | 21.0731i | −0.205646 | − | 1.95659i | ||||
\(117\) | 2.04209 | − | 2.26798i | 0.188792 | − | 0.209674i | ||||
\(118\) | 4.56825 | − | 14.0596i | 0.420541 | − | 1.29429i | ||||
\(119\) | 0.704879 | − | 18.7519i | 0.0646162 | − | 1.71898i | ||||
\(120\) | −19.7733 | −1.80505 | ||||||||
\(121\) | −0.908596 | + | 10.9624i | −0.0825996 | + | 0.996583i | ||||
\(122\) | −1.40457 | + | 2.43279i | −0.127164 | + | 0.220255i | ||||
\(123\) | −2.14257 | + | 0.953933i | −0.193189 | + | 0.0860132i | ||||
\(124\) | 14.3806 | − | 3.05668i | 1.29141 | − | 0.274498i | ||||
\(125\) | 0.380356 | + | 1.17062i | 0.0340201 | + | 0.104703i | ||||
\(126\) | 6.33354 | + | 2.32436i | 0.564237 | + | 0.207070i | ||||
\(127\) | −8.10566 | + | 5.88911i | −0.719261 | + | 0.522574i | −0.886148 | − | 0.463402i | \(-0.846629\pi\) |
0.166887 | + | 0.985976i | \(0.446629\pi\) | |||||||
\(128\) | −7.42197 | + | 8.24294i | −0.656016 | + | 0.728580i | ||||
\(129\) | 3.21690 | + | 3.57273i | 0.283233 | + | 0.314562i | ||||
\(130\) | −22.0307 | + | 9.80871i | −1.93222 | + | 0.860281i | ||||
\(131\) | 1.15372 | + | 1.99830i | 0.100801 | + | 0.174592i | 0.912015 | − | 0.410157i | \(-0.134526\pi\) |
−0.811214 | + | 0.584749i | \(0.801193\pi\) | |||||||
\(132\) | 4.45773 | − | 14.2517i | 0.387996 | − | 1.24045i | ||||
\(133\) | 17.2034 | − | 1.15691i | 1.49172 | − | 0.100317i | ||||
\(134\) | −0.612108 | − | 0.444722i | −0.0528781 | − | 0.0384182i | ||||
\(135\) | 3.03112 | − | 0.644285i | 0.260877 | − | 0.0554512i | ||||
\(136\) | 44.2677 | + | 9.40939i | 3.79593 | + | 0.806849i | ||||
\(137\) | −0.492016 | − | 4.68122i | −0.0420358 | − | 0.399944i | −0.995228 | − | 0.0975782i | \(-0.968890\pi\) |
0.953192 | − | 0.302365i | \(-0.0977763\pi\) | |||||||
\(138\) | 3.63127 | + | 1.61674i | 0.309114 | + | 0.137626i | ||||
\(139\) | 4.48081 | + | 13.7905i | 0.380057 | + | 1.16970i | 0.940003 | + | 0.341166i | \(0.110822\pi\) |
−0.559946 | + | 0.828529i | \(0.689178\pi\) | |||||||
\(140\) | −26.4849 | − | 25.7130i | −2.23839 | − | 2.17314i | ||||
\(141\) | −1.29588 | − | 0.941515i | −0.109133 | − | 0.0792898i | ||||
\(142\) | −10.5959 | − | 18.3526i | −0.889188 | − | 1.54012i | ||||
\(143\) | −1.16882 | − | 10.0542i | −0.0977416 | − | 0.840772i | ||||
\(144\) | −3.63318 | + | 6.29285i | −0.302765 | + | 0.524404i | ||||
\(145\) | 1.52444 | − | 14.5041i | 0.126598 | − | 1.20450i | ||||
\(146\) | −2.40015 | + | 7.38691i | −0.198638 | + | 0.611345i | ||||
\(147\) | 3.03501 | + | 6.30783i | 0.250324 | + | 0.520261i | ||||
\(148\) | −25.3243 | + | 18.3992i | −2.08165 | + | 1.51240i | ||||
\(149\) | 15.6261 | + | 6.95718i | 1.28014 | + | 0.569954i | 0.930281 | − | 0.366849i | \(-0.119563\pi\) |
0.349857 | + | 0.936803i | \(0.386230\pi\) | |||||||
\(150\) | −11.4805 | − | 2.44026i | −0.937380 | − | 0.199246i | ||||
\(151\) | −4.20320 | − | 4.66812i | −0.342051 | − | 0.379886i | 0.547435 | − | 0.836848i | \(-0.315604\pi\) |
−0.889486 | + | 0.456962i | \(0.848938\pi\) | |||||||
\(152\) | −4.34671 | + | 41.3561i | −0.352564 | + | 3.35443i | ||||
\(153\) | −7.09255 | −0.573399 | ||||||||
\(154\) | 19.6684 | − | 10.6694i | 1.58492 | − | 0.859764i | ||||
\(155\) | 10.1189 | 0.812768 | ||||||||
\(156\) | −1.43627 | + | 13.6652i | −0.114994 | + | 1.09409i | ||||
\(157\) | −6.65685 | − | 7.39318i | −0.531274 | − | 0.590040i | 0.416439 | − | 0.909164i | \(-0.363278\pi\) |
−0.947713 | + | 0.319124i | \(0.896611\pi\) | |||||||
\(158\) | −39.2957 | − | 8.35256i | −3.12620 | − | 0.664494i | ||||
\(159\) | −4.86180 | − | 2.16461i | −0.385566 | − | 0.171665i | ||||
\(160\) | 14.4585 | − | 10.5047i | 1.14305 | − | 0.830471i | ||||
\(161\) | 1.53476 | + | 3.82802i | 0.120956 | + | 0.301690i | ||||
\(162\) | 0.787983 | − | 2.42516i | 0.0619098 | − | 0.190539i | ||||
\(163\) | 0.361962 | − | 3.44384i | 0.0283511 | − | 0.269742i | −0.971159 | − | 0.238434i | \(-0.923366\pi\) |
0.999510 | − | 0.0313083i | \(-0.00996738\pi\) | |||||||
\(164\) | 5.27974 | − | 9.14478i | 0.412278 | − | 0.714087i | ||||
\(165\) | 5.04051 | − | 8.95679i | 0.392403 | − | 0.697285i | ||||
\(166\) | 13.5557 | + | 23.4792i | 1.05213 | + | 1.82234i | ||||
\(167\) | 12.9916 | + | 9.43895i | 1.00532 | + | 0.730408i | 0.963222 | − | 0.268706i | \(-0.0865959\pi\) |
0.0420978 | + | 0.999113i | \(0.486596\pi\) | |||||||
\(168\) | −16.2406 | + | 4.61010i | −1.25299 | + | 0.355677i | ||||
\(169\) | −1.13908 | − | 3.50573i | −0.0876215 | − | 0.269671i | ||||
\(170\) | 51.1996 | + | 22.7955i | 3.92683 | + | 1.74834i | ||||
\(171\) | −0.681208 | − | 6.48126i | −0.0520933 | − | 0.495635i | ||||
\(172\) | −21.1724 | − | 4.50033i | −1.61438 | − | 0.343147i | ||||
\(173\) | −1.93413 | + | 0.411111i | −0.147049 | + | 0.0312562i | −0.280848 | − | 0.959752i | \(-0.590616\pi\) |
0.133799 | + | 0.991008i | \(0.457282\pi\) | |||||||
\(174\) | −9.70887 | − | 7.05391i | −0.736028 | − | 0.534755i | ||||
\(175\) | −6.78284 | − | 10.1140i | −0.512735 | − | 0.764548i | ||||
\(176\) | 7.69921 | + | 22.8369i | 0.580350 | + | 1.72139i | ||||
\(177\) | −2.89869 | − | 5.02069i | −0.217879 | − | 0.377378i | ||||
\(178\) | −4.94064 | + | 2.19971i | −0.370316 | + | 0.164875i | ||||
\(179\) | 11.4963 | + | 12.7680i | 0.859276 | + | 0.954322i | 0.999358 | − | 0.0358173i | \(-0.0114035\pi\) |
−0.140083 | + | 0.990140i | \(0.544737\pi\) | |||||||
\(180\) | −9.33572 | + | 10.3684i | −0.695843 | + | 0.772812i | ||||
\(181\) | −6.37993 | + | 4.63529i | −0.474217 | + | 0.344539i | −0.799082 | − | 0.601222i | \(-0.794681\pi\) |
0.324866 | + | 0.945760i | \(0.394681\pi\) | |||||||
\(182\) | −15.8078 | + | 13.1927i | −1.17175 | + | 0.977906i | ||||
\(183\) | 0.340425 | + | 1.04772i | 0.0251650 | + | 0.0774498i | ||||
\(184\) | −9.72922 | + | 2.06801i | −0.717248 | + | 0.152456i | ||||
\(185\) | −19.6821 | + | 8.76303i | −1.44706 | + | 0.644271i | ||||
\(186\) | 4.16331 | − | 7.21106i | 0.305268 | − | 0.528740i | ||||
\(187\) | −15.5467 | + | 17.6535i | −1.13689 | + | 1.29095i | ||||
\(188\) | 7.21184 | 0.525978 | ||||||||
\(189\) | 2.33936 | − | 1.23587i | 0.170164 | − | 0.0898966i | ||||
\(190\) | −15.9133 | + | 48.9762i | −1.15448 | + | 3.55311i | ||||
\(191\) | −7.66979 | + | 8.51817i | −0.554967 | + | 0.616353i | −0.953717 | − | 0.300707i | \(-0.902777\pi\) |
0.398750 | + | 0.917060i | \(0.369444\pi\) | |||||||
\(192\) | −0.0181385 | − | 0.172576i | −0.00130903 | − | 0.0124546i | ||||
\(193\) | 0.514673 | + | 4.89679i | 0.0370470 | + | 0.352479i | 0.997305 | + | 0.0733652i | \(0.0233739\pi\) |
−0.960258 | + | 0.279113i | \(0.909959\pi\) | |||||||
\(194\) | 19.8200 | − | 22.0124i | 1.42299 | − | 1.58040i | ||||
\(195\) | −2.92244 | + | 8.99436i | −0.209281 | + | 0.644099i | ||||
\(196\) | −27.7480 | − | 14.9442i | −1.98200 | − | 1.06744i | ||||
\(197\) | −2.21650 | −0.157919 | −0.0789595 | − | 0.996878i | \(-0.525160\pi\) | ||||
−0.0789595 | + | 0.996878i | \(0.525160\pi\) | |||||||
\(198\) | −4.30905 | − | 7.27721i | −0.306231 | − | 0.517169i | ||||
\(199\) | −4.28549 | + | 7.42268i | −0.303790 | + | 0.526180i | −0.976991 | − | 0.213280i | \(-0.931585\pi\) |
0.673201 | + | 0.739459i | \(0.264919\pi\) | |||||||
\(200\) | 26.8307 | − | 11.9458i | 1.89722 | − | 0.844697i | ||||
\(201\) | −0.290228 | + | 0.0616900i | −0.0204711 | + | 0.00435127i | ||||
\(202\) | −0.0165670 | − | 0.0509881i | −0.00116565 | − | 0.00358751i | ||||
\(203\) | −2.12951 | − | 12.2682i | −0.149462 | − | 0.861056i | ||||
\(204\) | 25.8344 | − | 18.7698i | 1.80877 | − | 1.31415i | ||||
\(205\) | 4.86311 | − | 5.40103i | 0.339655 | − | 0.377225i | ||||
\(206\) | 16.5283 | + | 18.3565i | 1.15158 | + | 1.27896i | ||||
\(207\) | 1.42404 | − | 0.634025i | 0.0989779 | − | 0.0440678i | ||||
\(208\) | −11.0880 | − | 19.2049i | −0.768812 | − | 1.33162i | ||||
\(209\) | −17.6252 | − | 12.5112i | −1.21916 | − | 0.865420i | ||||
\(210\) | −20.8595 | + | 1.40277i | −1.43944 | + | 0.0968005i | ||||
\(211\) | −14.9628 | − | 10.8711i | −1.03008 | − | 0.748399i | −0.0617573 | − | 0.998091i | \(-0.519670\pi\) |
−0.968325 | + | 0.249692i | \(0.919670\pi\) | |||||||
\(212\) | 23.4374 | − | 4.98178i | 1.60969 | − | 0.342150i | ||||
\(213\) | −8.12900 | − | 1.72787i | −0.556990 | − | 0.118392i | ||||
\(214\) | −3.69360 | − | 35.1423i | −0.252489 | − | 2.40228i | ||||
\(215\) | −13.6099 | − | 6.05954i | −0.928190 | − | 0.413257i | ||||
\(216\) | 1.97180 | + | 6.06857i | 0.134164 | + | 0.412914i | ||||
\(217\) | 8.31102 | − | 2.35919i | 0.564189 | − | 0.160152i | ||||
\(218\) | 21.4976 | + | 15.6189i | 1.45600 | + | 1.05785i | ||||
\(219\) | 1.52297 | + | 2.63787i | 0.102913 | + | 0.178250i | ||||
\(220\) | 5.34342 | + | 45.9640i | 0.360253 | + | 3.09889i | ||||
\(221\) | 10.8227 | − | 18.7455i | 0.728016 | − | 1.26096i | ||||
\(222\) | −1.85315 | + | 17.6316i | −0.124376 | + | 1.18335i | ||||
\(223\) | −0.585549 | + | 1.80213i | −0.0392112 | + | 0.120680i | −0.968746 | − | 0.248055i | \(-0.920209\pi\) |
0.929535 | + | 0.368734i | \(0.120209\pi\) | |||||||
\(224\) | 9.42618 | − | 11.9989i | 0.629813 | − | 0.801710i | ||||
\(225\) | −3.72374 | + | 2.70546i | −0.248250 | + | 0.180364i | ||||
\(226\) | 14.3441 | + | 6.38639i | 0.954153 | + | 0.424816i | ||||
\(227\) | −12.4306 | − | 2.64221i | −0.825050 | − | 0.175370i | −0.224008 | − | 0.974587i | \(-0.571914\pi\) |
−0.601042 | + | 0.799218i | \(0.705248\pi\) | |||||||
\(228\) | 19.6333 | + | 21.8050i | 1.30025 | + | 1.44407i | ||||
\(229\) | 1.21918 | − | 11.5997i | 0.0805657 | − | 0.766531i | −0.877422 | − | 0.479720i | \(-0.840738\pi\) |
0.957987 | − | 0.286811i | \(-0.0925951\pi\) | |||||||
\(230\) | −12.3176 | −0.812200 | ||||||||
\(231\) | 2.05171 | − | 8.53173i | 0.134993 | − | 0.561347i | ||||
\(232\) | 30.0301 | 1.97157 | ||||||||
\(233\) | 2.38460 | − | 22.6880i | 0.156221 | − | 1.48634i | −0.582778 | − | 0.812632i | \(-0.698034\pi\) |
0.738998 | − | 0.673707i | \(-0.235299\pi\) | |||||||
\(234\) | 5.20727 | + | 5.78326i | 0.340410 | + | 0.378064i | ||||
\(235\) | 4.85525 | + | 1.03202i | 0.316722 | + | 0.0673213i | ||||
\(236\) | 23.8452 | + | 10.6166i | 1.55219 | + | 0.691079i | ||||
\(237\) | −12.7457 | + | 9.26030i | −0.827922 | + | 0.601521i | ||||
\(238\) | 47.3669 | + | 6.78578i | 3.07034 | + | 0.439857i | ||||
\(239\) | −7.26303 | + | 22.3533i | −0.469807 | + | 1.44592i | 0.383029 | + | 0.923736i | \(0.374881\pi\) |
−0.852836 | + | 0.522180i | \(0.825119\pi\) | |||||||
\(240\) | 2.35370 | − | 22.3939i | 0.151930 | − | 1.44552i | ||||
\(241\) | 8.79167 | − | 15.2276i | 0.566321 | − | 0.980897i | −0.430604 | − | 0.902541i | \(-0.641700\pi\) |
0.996925 | − | 0.0783560i | \(-0.0249671\pi\) | |||||||
\(242\) | −27.5585 | − | 5.22616i | −1.77153 | − | 0.335951i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | −4.01269 | − | 2.91539i | −0.256886 | − | 0.186639i | ||||
\(245\) | −16.5424 | − | 14.0317i | −1.05685 | − | 0.896449i | ||||
\(246\) | −1.84808 | − | 5.68782i | −0.117829 | − | 0.362642i | ||||
\(247\) | 18.1694 | + | 8.08953i | 1.15609 | + | 0.514725i | ||||
\(248\) | 2.17795 | + | 20.7218i | 0.138300 | + | 1.31584i | ||||
\(249\) | 10.3997 | + | 2.21053i | 0.659056 | + | 0.140087i | ||||
\(250\) | −3.07006 | + | 0.652562i | −0.194168 | + | 0.0412716i | ||||
\(251\) | −8.14907 | − | 5.92065i | −0.514365 | − | 0.373708i | 0.300112 | − | 0.953904i | \(-0.402976\pi\) |
−0.814477 | + | 0.580196i | \(0.802976\pi\) | |||||||
\(252\) | −5.25042 | + | 10.6925i | −0.330746 | + | 0.673566i | ||||
\(253\) | 1.54337 | − | 4.93425i | 0.0970308 | − | 0.310214i | ||||
\(254\) | −12.7743 | − | 22.1257i | −0.801528 | − | 1.38829i | ||||
\(255\) | 20.0785 | − | 8.93953i | 1.25736 | − | 0.559815i | ||||
\(256\) | −19.1580 | − | 21.2771i | −1.19738 | − | 1.32982i | ||||
\(257\) | 2.80591 | − | 3.11628i | 0.175028 | − | 0.194388i | −0.649248 | − | 0.760577i | \(-0.724916\pi\) |
0.824276 | + | 0.566189i | \(0.191583\pi\) | |||||||
\(258\) | −9.91790 | + | 7.20577i | −0.617461 | + | 0.448612i | ||||
\(259\) | −14.1226 | + | 11.7862i | −0.877534 | + | 0.732361i | ||||
\(260\) | −13.1578 | − | 40.4956i | −0.816014 | − | 2.51143i | ||||
\(261\) | −4.60342 | + | 0.978488i | −0.284945 | + | 0.0605669i | ||||
\(262\) | −5.37520 | + | 2.39319i | −0.332081 | + | 0.147852i | ||||
\(263\) | −10.6282 | + | 18.4086i | −0.655363 | + | 1.13512i | 0.326439 | + | 0.945218i | \(0.394151\pi\) |
−0.981803 | + | 0.189905i | \(0.939182\pi\) | |||||||
\(264\) | 19.4270 | + | 8.39432i | 1.19565 | + | 0.516635i | ||||
\(265\) | 16.4917 | 1.01308 | ||||||||
\(266\) | −1.65155 | + | 43.9362i | −0.101263 | + | 2.69390i | ||||
\(267\) | −0.655391 | + | 2.01709i | −0.0401093 | + | 0.123444i | ||||
\(268\) | 0.893891 | − | 0.992766i | 0.0546031 | − | 0.0606428i | ||||
\(269\) | 0.353750 | + | 3.36571i | 0.0215685 | + | 0.205211i | 0.999999 | − | 0.00136533i | \(-0.000434597\pi\) |
−0.978431 | + | 0.206576i | \(0.933768\pi\) | |||||||
\(270\) | 0.825977 | + | 7.85865i | 0.0502674 | + | 0.478262i | ||||
\(271\) | 6.43346 | − | 7.14508i | 0.390805 | − | 0.434033i | −0.515349 | − | 0.856980i | \(-0.672338\pi\) |
0.906154 | + | 0.422947i | \(0.139005\pi\) | |||||||
\(272\) | −15.9258 | + | 49.0146i | −0.965644 | + | 2.97195i | ||||
\(273\) | −0.303303 | + | 8.06877i | −0.0183568 | + | 0.488344i | ||||
\(274\) | 12.0027 | 0.725110 | ||||||||
\(275\) | −1.42841 | + | 15.1988i | −0.0861365 | + | 0.916521i | ||||
\(276\) | −3.50914 | + | 6.07802i | −0.211226 | + | 0.365854i | ||||
\(277\) | 27.0588 | − | 12.0474i | 1.62581 | − | 0.723856i | 0.627317 | − | 0.778764i | \(-0.284153\pi\) |
0.998491 | + | 0.0549076i | \(0.0174864\pi\) | |||||||
\(278\) | −36.1670 | + | 7.68754i | −2.16915 | + | 0.461068i | ||||
\(279\) | −1.00906 | − | 3.10556i | −0.0604107 | − | 0.185925i | ||||
\(280\) | 40.1653 | − | 33.5207i | 2.40034 | − | 2.00324i | ||||
\(281\) | −18.9501 | + | 13.7680i | −1.13047 | + | 0.821333i | −0.985763 | − | 0.168142i | \(-0.946223\pi\) |
−0.144705 | + | 0.989475i | \(0.546223\pi\) | |||||||
\(282\) | 2.73309 | − | 3.03540i | 0.162753 | − | 0.180756i | ||||
\(283\) | 8.32968 | + | 9.25104i | 0.495148 | + | 0.549918i | 0.937981 | − | 0.346687i | \(-0.112693\pi\) |
−0.442833 | + | 0.896604i | \(0.646027\pi\) | |||||||
\(284\) | 34.1823 | − | 15.2189i | 2.02834 | − | 0.903077i | ||||
\(285\) | 10.0975 | + | 17.4894i | 0.598125 | + | 1.03598i | ||||
\(286\) | 25.8089 | − | 0.284244i | 1.52611 | − | 0.0168077i | ||||
\(287\) | 2.73502 | − | 5.56990i | 0.161443 | − | 0.328781i | ||||
\(288\) | −4.66578 | − | 3.38989i | −0.274934 | − | 0.199751i | ||||
\(289\) | −32.5765 | + | 6.92434i | −1.91626 | + | 0.407314i | ||||
\(290\) | 36.3760 | + | 7.73195i | 2.13607 | + | 0.454036i | ||||
\(291\) | −1.21421 | − | 11.5524i | −0.0711781 | − | 0.677215i | ||||
\(292\) | −12.5282 | − | 5.57793i | −0.733160 | − | 0.326424i | ||||
\(293\) | −5.55538 | − | 17.0977i | −0.324548 | − | 0.998857i | −0.971644 | − | 0.236449i | \(-0.924017\pi\) |
0.647096 | − | 0.762409i | \(-0.275983\pi\) | |||||||
\(294\) | −16.8056 | + | 6.01548i | −0.980123 | + | 0.350830i | ||||
\(295\) | 14.5341 | + | 10.5597i | 0.846210 | + | 0.614807i | ||||
\(296\) | −22.1816 | − | 38.4196i | −1.28928 | − | 2.23310i | ||||
\(297\) | −3.25155 | − | 0.653796i | −0.188674 | − | 0.0379371i | ||||
\(298\) | −21.8084 | + | 37.7733i | −1.26333 | + | 2.18815i | ||||
\(299\) | −0.497271 | + | 4.73121i | −0.0287579 | + | 0.273613i | ||||
\(300\) | 6.40387 | − | 19.7091i | 0.369727 | − | 1.13790i | ||||
\(301\) | −12.5911 | − | 1.80381i | −0.725741 | − | 0.103970i | ||||
\(302\) | 12.9587 | − | 9.41504i | 0.745689 | − | 0.541775i | ||||
\(303\) | −0.0192069 | − | 0.00855147i | −0.00110341 | − | 0.000491269i | ||||
\(304\) | −46.3198 | − | 9.84557i | −2.65662 | − | 0.564682i | ||||
\(305\) | −2.28428 | − | 2.53695i | −0.130798 | − | 0.145265i | ||||
\(306\) | 1.89048 | − | 17.9867i | 0.108071 | − | 1.02823i | ||||
\(307\) | 7.51127 | 0.428691 | 0.214345 | − | 0.976758i | \(-0.431238\pi\) | ||||
0.214345 | + | 0.976758i | \(0.431238\pi\) | |||||||
\(308\) | 15.1052 | + | 36.5062i | 0.860696 | + | 2.08013i | ||||
\(309\) | 9.68685 | 0.551066 | ||||||||
\(310\) | −2.69713 | + | 25.6615i | −0.153187 | + | 1.45747i | ||||
\(311\) | 0.711026 | + | 0.789675i | 0.0403186 | + | 0.0447783i | 0.762967 | − | 0.646438i | \(-0.223742\pi\) |
−0.722648 | + | 0.691216i | \(0.757075\pi\) | |||||||
\(312\) | −19.0480 | − | 4.04878i | −1.07838 | − | 0.229217i | ||||
\(313\) | 0.781524 | + | 0.347957i | 0.0441743 | + | 0.0196677i | 0.428705 | − | 0.903445i | \(-0.358970\pi\) |
−0.384531 | + | 0.923112i | \(0.625637\pi\) | |||||||
\(314\) | 20.5234 | − | 14.9111i | 1.15820 | − | 0.841485i | ||||
\(315\) | −5.06486 | + | 6.44723i | −0.285373 | + | 0.363260i | ||||
\(316\) | 21.9193 | − | 67.4606i | 1.23306 | − | 3.79496i | ||||
\(317\) | 3.34496 | − | 31.8252i | 0.187872 | − | 1.78748i | −0.342302 | − | 0.939590i | \(-0.611207\pi\) |
0.530174 | − | 0.847889i | \(-0.322127\pi\) | |||||||
\(318\) | 6.78535 | − | 11.7526i | 0.380503 | − | 0.659051i | ||||
\(319\) | −7.65512 | + | 13.6028i | −0.428604 | + | 0.761613i | ||||
\(320\) | 0.268865 | + | 0.465688i | 0.0150300 | + | 0.0260328i | ||||
\(321\) | −11.2108 | − | 8.14516i | −0.625728 | − | 0.454618i | ||||
\(322\) | −10.1169 | + | 2.87182i | −0.563795 | + | 0.160040i | ||||
\(323\) | −14.2833 | − | 43.9596i | −0.794747 | − | 2.44598i | ||||
\(324\) | 4.11309 | + | 1.83127i | 0.228505 | + | 0.101737i | ||||
\(325\) | −1.46832 | − | 13.9702i | −0.0814479 | − | 0.774925i | ||||
\(326\) | 8.63709 | + | 1.83587i | 0.478364 | + | 0.101679i | ||||
\(327\) | 10.1930 | − | 2.16659i | 0.563675 | − | 0.119813i | ||||
\(328\) | 12.1072 | + | 8.79637i | 0.668506 | + | 0.485698i | ||||
\(329\) | 4.22841 | − | 0.284356i | 0.233120 | − | 0.0156770i | ||||
\(330\) | 21.3709 | + | 15.1701i | 1.17643 | + | 0.835087i | ||||
\(331\) | −4.65386 | − | 8.06072i | −0.255799 | − | 0.443057i | 0.709313 | − | 0.704894i | \(-0.249005\pi\) |
−0.965112 | + | 0.261836i | \(0.915672\pi\) | |||||||
\(332\) | −43.7306 | + | 19.4701i | −2.40003 | + | 1.06856i | ||||
\(333\) | 4.65214 | + | 5.16673i | 0.254936 | + | 0.283135i | ||||
\(334\) | −27.4000 | + | 30.4308i | −1.49926 | + | 1.66510i | ||||
\(335\) | 0.743862 | − | 0.540447i | 0.0406415 | − | 0.0295278i | ||||
\(336\) | −3.28790 | − | 18.9417i | −0.179370 | − | 1.03336i | ||||
\(337\) | 0.365236 | + | 1.12408i | 0.0198957 | + | 0.0612326i | 0.960511 | − | 0.278241i | \(-0.0897512\pi\) |
−0.940616 | + | 0.339473i | \(0.889751\pi\) | |||||||
\(338\) | 9.19414 | − | 1.95427i | 0.500095 | − | 0.106299i | ||||
\(339\) | 5.62520 | − | 2.50450i | 0.305519 | − | 0.136026i | ||||
\(340\) | −49.4777 | + | 85.6978i | −2.68330 | + | 4.64762i | ||||
\(341\) | −9.94164 | − | 4.29575i | −0.538370 | − | 0.232628i | ||||
\(342\) | 16.6181 | 0.898601 | ||||||||
\(343\) | −16.8583 | − | 7.66792i | −0.910264 | − | 0.414029i | ||||
\(344\) | 9.47960 | − | 29.1752i | 0.511106 | − | 1.57302i | ||||
\(345\) | −3.23224 | + | 3.58976i | −0.174018 | + | 0.193266i | ||||
\(346\) | −0.527047 | − | 5.01452i | −0.0283342 | − | 0.269582i | ||||
\(347\) | 2.82052 | + | 26.8355i | 0.151414 | + | 1.44060i | 0.761446 | + | 0.648228i | \(0.224490\pi\) |
−0.610033 | + | 0.792376i | \(0.708844\pi\) | |||||||
\(348\) | 14.1783 | − | 15.7466i | 0.760039 | − | 0.844108i | ||||
\(349\) | −10.5292 | + | 32.4056i | −0.563616 | + | 1.73463i | 0.108412 | + | 0.994106i | \(0.465423\pi\) |
−0.672028 | + | 0.740526i | \(0.734577\pi\) | |||||||
\(350\) | 27.4571 | − | 14.5054i | 1.46764 | − | 0.775348i | ||||
\(351\) | 3.05186 | 0.162896 | ||||||||
\(352\) | −18.6648 | + | 4.18268i | −0.994838 | + | 0.222938i | ||||
\(353\) | −14.0749 | + | 24.3785i | −0.749133 | + | 1.29754i | 0.199106 | + | 0.979978i | \(0.436196\pi\) |
−0.948239 | + | 0.317559i | \(0.897137\pi\) | |||||||
\(354\) | 13.5051 | − | 6.01285i | 0.717787 | − | 0.319579i | ||||
\(355\) | 25.1905 | − | 5.35440i | 1.33697 | − | 0.284182i | ||||
\(356\) | −2.95079 | − | 9.08160i | −0.156392 | − | 0.481324i | ||||
\(357\) | 14.4070 | − | 12.0236i | 0.762500 | − | 0.636358i | ||||
\(358\) | −35.4438 | + | 25.7514i | −1.87326 | + | 1.36101i | ||||
\(359\) | −16.4335 | + | 18.2513i | −0.867330 | + | 0.963267i | −0.999609 | − | 0.0279453i | \(-0.991104\pi\) |
0.132280 | + | 0.991212i | \(0.457770\pi\) | |||||||
\(360\) | −13.2309 | − | 14.6944i | −0.697331 | − | 0.774464i | ||||
\(361\) | 21.4417 | − | 9.54645i | 1.12851 | − | 0.502445i | ||||
\(362\) | −10.0546 | − | 17.4150i | −0.528456 | − | 0.915313i | ||||
\(363\) | −8.75463 | + | 6.66007i | −0.459499 | + | 0.349563i | ||||
\(364\) | −20.2485 | − | 30.1929i | −1.06131 | − | 1.58254i | ||||
\(365\) | −7.63622 | − | 5.54804i | −0.399698 | − | 0.290398i | ||||
\(366\) | −2.74776 | + | 0.584054i | −0.143628 | + | 0.0305290i | ||||
\(367\) | −28.5462 | − | 6.06768i | −1.49010 | − | 0.316731i | −0.610337 | − | 0.792142i | \(-0.708966\pi\) |
−0.879764 | + | 0.475412i | \(0.842299\pi\) | |||||||
\(368\) | −1.18398 | − | 11.2648i | −0.0617193 | − | 0.587220i | ||||
\(369\) | −2.14257 | − | 0.953933i | −0.111538 | − | 0.0496598i | ||||
\(370\) | −16.9769 | − | 52.2495i | −0.882586 | − | 2.71632i | ||||
\(371\) | 13.5453 | − | 3.84500i | 0.703236 | − | 0.199623i | ||||
\(372\) | 11.8940 | + | 8.64152i | 0.616677 | + | 0.448042i | ||||
\(373\) | −2.22979 | − | 3.86211i | −0.115454 | − | 0.199972i | 0.802507 | − | 0.596643i | \(-0.203499\pi\) |
−0.917961 | + | 0.396670i | \(0.870166\pi\) | |||||||
\(374\) | −40.6254 | − | 44.1319i | −2.10069 | − | 2.28200i | ||||
\(375\) | −0.615429 | + | 1.06595i | −0.0317806 | + | 0.0550457i | ||||
\(376\) | −1.06837 | + | 10.1649i | −0.0550972 | + | 0.524215i | ||||
\(377\) | 4.43837 | − | 13.6599i | 0.228588 | − | 0.703521i | ||||
\(378\) | 2.51063 | + | 6.26204i | 0.129133 | + | 0.322084i | ||||
\(379\) | 17.9144 | − | 13.0156i | 0.920200 | − | 0.668564i | −0.0233739 | − | 0.999727i | \(-0.507441\pi\) |
0.943574 | + | 0.331162i | \(0.107441\pi\) | |||||||
\(380\) | −83.0639 | − | 36.9824i | −4.26109 | − | 1.89716i | ||||
\(381\) | −9.80021 | − | 2.08310i | −0.502080 | − | 0.106720i | ||||
\(382\) | −19.5577 | − | 21.7210i | −1.00066 | − | 1.11135i | ||||
\(383\) | −3.59683 | + | 34.2215i | −0.183789 | + | 1.74864i | 0.382068 | + | 0.924134i | \(0.375212\pi\) |
−0.565857 | + | 0.824504i | \(0.691455\pi\) | |||||||
\(384\) | −11.0920 | −0.566035 | ||||||||
\(385\) | 4.94525 | + | 26.7387i | 0.252033 | + | 1.36273i | ||||
\(386\) | −12.5554 | −0.639055 | ||||||||
\(387\) | −0.502530 | + | 4.78125i | −0.0255450 | + | 0.243045i | ||||
\(388\) | 34.9951 | + | 38.8660i | 1.77661 | + | 1.97312i | ||||
\(389\) | 12.4308 | + | 2.64224i | 0.630265 | + | 0.133967i | 0.511959 | − | 0.859010i | \(-0.328920\pi\) |
0.118307 | + | 0.992977i | \(0.462253\pi\) | |||||||
\(390\) | −22.0307 | − | 9.80871i | −1.11557 | − | 0.496683i | ||||
\(391\) | 8.94444 | − | 6.49852i | 0.452340 | − | 0.328644i | ||||
\(392\) | 25.1740 | − | 36.8962i | 1.27148 | − | 1.86354i | ||||
\(393\) | −0.713037 | + | 2.19450i | −0.0359680 | + | 0.110698i | ||||
\(394\) | 0.590795 | − | 5.62104i | 0.0297638 | − | 0.283184i | ||||
\(395\) | 24.4104 | − | 42.2801i | 1.22822 | − | 2.12734i | ||||
\(396\) | 13.5739 | − | 6.22348i | 0.682112 | − | 0.312742i | ||||
\(397\) | 15.1184 | + | 26.1858i | 0.758769 | + | 1.31423i | 0.943479 | + | 0.331434i | \(0.107532\pi\) |
−0.184709 | + | 0.982793i | \(0.559134\pi\) | |||||||
\(398\) | −17.6816 | − | 12.8465i | −0.886300 | − | 0.643935i | ||||
\(399\) | 12.3711 | + | 12.0105i | 0.619329 | + | 0.601277i | ||||
\(400\) | 10.3353 | + | 31.8087i | 0.516763 | + | 1.59043i | ||||
\(401\) | 11.6945 | + | 5.20673i | 0.583996 | + | 0.260012i | 0.677398 | − | 0.735617i | \(-0.263108\pi\) |
−0.0934022 | + | 0.995628i | \(0.529774\pi\) | |||||||
\(402\) | −0.0790870 | − | 0.752462i | −0.00394450 | − | 0.0375294i | ||||
\(403\) | 9.74772 | + | 2.07194i | 0.485568 | + | 0.103211i | ||||
\(404\) | 0.0925913 | − | 0.0196809i | 0.00460659 | − | 0.000979160i | ||||
\(405\) | 2.50701 | + | 1.82145i | 0.124574 | + | 0.0905087i | ||||
\(406\) | 31.6796 | − | 2.13042i | 1.57223 | − | 0.105731i | ||||
\(407\) | 23.0575 | − | 0.253942i | 1.14292 | − | 0.0125874i | ||||
\(408\) | 22.6283 | + | 39.1934i | 1.12027 | + | 1.94036i | ||||
\(409\) | −8.78566 | + | 3.91163i | −0.434423 | + | 0.193417i | −0.612284 | − | 0.790638i | \(-0.709749\pi\) |
0.177861 | + | 0.984056i | \(0.443082\pi\) | |||||||
\(410\) | 12.4008 | + | 13.7725i | 0.612431 | + | 0.680173i | ||||
\(411\) | 3.14960 | − | 3.49799i | 0.155358 | − | 0.172543i | ||||
\(412\) | −35.2840 | + | 25.6353i | −1.73832 | + | 1.26296i | ||||
\(413\) | 14.3994 | + | 5.28446i | 0.708548 | + | 0.260031i | ||||
\(414\) | 1.22832 | + | 3.78037i | 0.0603685 | + | 0.185795i | ||||
\(415\) | −32.2271 | + | 6.85007i | −1.58196 | + | 0.336257i | ||||
\(416\) | 16.0791 | − | 7.15888i | 0.788343 | − | 0.350993i | ||||
\(417\) | −7.25010 | + | 12.5575i | −0.355039 | + | 0.614945i | ||||
\(418\) | 36.4264 | − | 41.3627i | 1.78167 | − | 2.02312i | ||||
\(419\) | 31.6704 | 1.54720 | 0.773600 | − | 0.633675i | \(-0.218454\pi\) | ||||
0.773600 | + | 0.633675i | \(0.218454\pi\) | |||||||
\(420\) | 1.38659 | − | 36.8875i | 0.0676589 | − | 1.79993i | ||||
\(421\) | −3.02343 | + | 9.30517i | −0.147353 | + | 0.453506i | −0.997306 | − | 0.0733524i | \(-0.976630\pi\) |
0.849953 | + | 0.526858i | \(0.176630\pi\) | |||||||
\(422\) | 31.5574 | − | 35.0480i | 1.53619 | − | 1.70611i | ||||
\(423\) | −0.167434 | − | 1.59303i | −0.00814091 | − | 0.0774555i | ||||
\(424\) | 3.54962 | + | 33.7724i | 0.172385 | + | 1.64013i | ||||
\(425\) | −21.8442 | + | 24.2604i | −1.05960 | + | 1.17680i | ||||
\(426\) | 6.54862 | − | 20.1546i | 0.317282 | − | 0.976493i | ||||
\(427\) | −2.46765 | − | 1.55112i | −0.119418 | − | 0.0750640i | ||||
\(428\) | 62.3905 | 3.01576 | ||||||||
\(429\) | 6.68961 | − | 7.59615i | 0.322977 | − | 0.366746i | ||||
\(430\) | 18.9946 | − | 32.8997i | 0.916002 | − | 1.58656i | ||||
\(431\) | −19.5798 | + | 8.71748i | −0.943125 | + | 0.419906i | −0.819922 | − | 0.572475i | \(-0.805983\pi\) |
−0.123203 | + | 0.992381i | \(0.539317\pi\) | |||||||
\(432\) | −7.10757 | + | 1.51076i | −0.341963 | + | 0.0726865i | ||||
\(433\) | 10.2200 | + | 31.4541i | 0.491144 | + | 1.51159i | 0.822881 | + | 0.568214i | \(0.192366\pi\) |
−0.331736 | + | 0.943372i | \(0.607634\pi\) | |||||||
\(434\) | 3.76765 | + | 21.7056i | 0.180853 | + | 1.04190i | ||||
\(435\) | 11.7987 | − | 8.57223i | 0.565703 | − | 0.411007i | ||||
\(436\) | −31.3940 | + | 34.8666i | −1.50350 | + | 1.66981i | ||||
\(437\) | 6.79751 | + | 7.54940i | 0.325169 | + | 0.361137i | ||||
\(438\) | −7.09556 | + | 3.15915i | −0.339039 | + | 0.150950i | ||||
\(439\) | −3.57043 | − | 6.18417i | −0.170407 | − | 0.295154i | 0.768155 | − | 0.640264i | \(-0.221175\pi\) |
−0.938562 | + | 0.345110i | \(0.887842\pi\) | |||||||
\(440\) | −65.5767 | + | 0.722223i | −3.12624 | + | 0.0344306i | ||||
\(441\) | −2.65681 | + | 6.47622i | −0.126515 | + | 0.308391i | ||||
\(442\) | 44.6539 | + | 32.4430i | 2.12397 | + | 1.54315i | ||||
\(443\) | 21.5292 | − | 4.57616i | 1.02288 | − | 0.217420i | 0.334213 | − | 0.942497i | \(-0.391529\pi\) |
0.688667 | + | 0.725077i | \(0.258196\pi\) | |||||||
\(444\) | −30.6185 | − | 6.50817i | −1.45309 | − | 0.308864i | ||||
\(445\) | −0.686992 | − | 6.53629i | −0.0325665 | − | 0.309850i | ||||
\(446\) | −4.41413 | − | 1.96530i | −0.209015 | − | 0.0930596i | ||||
\(447\) | 5.28569 | + | 16.2677i | 0.250005 | + | 0.769436i | ||||
\(448\) | 0.329403 | + | 0.319802i | 0.0155628 | + | 0.0151092i | ||||
\(449\) | 8.06904 | + | 5.86250i | 0.380802 | + | 0.276669i | 0.761676 | − | 0.647958i | \(-0.224377\pi\) |
−0.380874 | + | 0.924627i | \(0.624377\pi\) | |||||||
\(450\) | −5.86850 | − | 10.1645i | −0.276644 | − | 0.479161i | ||||
\(451\) | −7.07082 | + | 3.24190i | −0.332952 | + | 0.152655i | ||||
\(452\) | −13.8617 | + | 24.0091i | −0.651998 | + | 1.12929i | ||||
\(453\) | 0.656604 | − | 6.24717i | 0.0308499 | − | 0.293518i | ||||
\(454\) | 10.0140 | − | 30.8198i | 0.469978 | − | 1.44644i | ||||
\(455\) | −9.31134 | − | 23.2244i | −0.436522 | − | 1.08878i | ||||
\(456\) | −33.6421 | + | 24.4424i | −1.57544 | + | 1.14462i | ||||
\(457\) | 28.5999 | + | 12.7335i | 1.33785 | + | 0.595647i | 0.945935 | − | 0.324356i | \(-0.105148\pi\) |
0.391910 | + | 0.920003i | \(0.371814\pi\) | |||||||
\(458\) | 29.0919 | + | 6.18368i | 1.35938 | + | 0.288944i | ||||
\(459\) | −4.74584 | − | 5.27079i | −0.221517 | − | 0.246019i | ||||
\(460\) | 2.27334 | − | 21.6294i | 0.105995 | − | 1.00848i | ||||
\(461\) | 17.8709 | 0.832329 | 0.416165 | − | 0.909289i | \(-0.363374\pi\) | ||||
0.416165 | + | 0.909289i | \(0.363374\pi\) | |||||||
\(462\) | 21.0896 | + | 7.47722i | 0.981177 | + | 0.347872i | ||||
\(463\) | 7.52215 | 0.349584 | 0.174792 | − | 0.984605i | \(-0.444075\pi\) | ||||
0.174792 | + | 0.984605i | \(0.444075\pi\) | |||||||
\(464\) | −3.57460 | + | 34.0101i | −0.165947 | + | 1.57888i | ||||
\(465\) | 6.77085 | + | 7.51980i | 0.313991 | + | 0.348722i | ||||
\(466\) | 56.9011 | + | 12.0947i | 2.63589 | + | 0.560276i | ||||
\(467\) | −16.9002 | − | 7.52444i | −0.782046 | − | 0.348189i | −0.0234285 | − | 0.999726i | \(-0.507458\pi\) |
−0.758618 | + | 0.651536i | \(0.774125\pi\) | |||||||
\(468\) | −11.1163 | + | 8.07647i | −0.513851 | + | 0.373335i | ||||
\(469\) | 0.484958 | − | 0.617319i | 0.0223933 | − | 0.0285052i | ||||
\(470\) | −3.91133 | + | 12.0378i | −0.180416 | + | 0.555264i | ||||
\(471\) | 1.03990 | − | 9.89400i | 0.0479161 | − | 0.455892i | ||||
\(472\) | −18.4962 | + | 32.0364i | −0.851357 | + | 1.47459i | ||||
\(473\) | 10.7991 | + | 11.7312i | 0.496544 | + | 0.539401i | ||||
\(474\) | −20.0868 | − | 34.7914i | −0.922618 | − | 1.59802i | ||||
\(475\) | −24.2675 | − | 17.6314i | −1.11347 | − | 0.808983i | ||||
\(476\) | −20.6577 | + | 81.9225i | −0.946843 | + | 3.75491i | ||||
\(477\) | −1.64456 | − | 5.06143i | −0.0752992 | − | 0.231747i | ||||
\(478\) | −54.7521 | − | 24.3772i | −2.50430 | − | 1.11499i | ||||
\(479\) | 0.665282 | + | 6.32974i | 0.0303975 | + | 0.289213i | 0.999151 | + | 0.0411889i | \(0.0131146\pi\) |
−0.968754 | + | 0.248024i | \(0.920219\pi\) | |||||||
\(480\) | 17.4812 | + | 3.71574i | 0.797902 | + | 0.169599i | ||||
\(481\) | −20.7545 | + | 4.41150i | −0.946322 | + | 0.201147i | ||||
\(482\) | 36.2738 | + | 26.3545i | 1.65223 | + | 1.20041i | ||||
\(483\) | −1.81782 | + | 3.70200i | −0.0827135 | + | 0.168447i | ||||
\(484\) | 14.2632 | − | 47.4274i | 0.648327 | − | 2.15579i | ||||
\(485\) | 17.9981 | + | 31.1737i | 0.817253 | + | 1.41552i | ||||
\(486\) | 2.32951 | − | 1.03717i | 0.105669 | − | 0.0470468i | ||||
\(487\) | −4.71554 | − | 5.23714i | −0.213682 | − | 0.237317i | 0.626770 | − | 0.779205i | \(-0.284377\pi\) |
−0.840451 | + | 0.541887i | \(0.817710\pi\) | |||||||
\(488\) | 4.70361 | − | 5.22388i | 0.212922 | − | 0.236474i | ||||
\(489\) | 2.80147 | − | 2.03539i | 0.126687 | − | 0.0920434i | ||||
\(490\) | 39.9935 | − | 38.2114i | 1.80672 | − | 1.72621i | ||||
\(491\) | −1.84399 | − | 5.67521i | −0.0832180 | − | 0.256119i | 0.900786 | − | 0.434262i | \(-0.142991\pi\) |
−0.984005 | + | 0.178143i | \(0.942991\pi\) | |||||||
\(492\) | 10.3287 | − | 2.19544i | 0.465655 | − | 0.0989780i | ||||
\(493\) | −30.4936 | + | 13.5766i | −1.37336 | + | 0.611461i | ||||
\(494\) | −25.3580 | + | 43.9213i | −1.14091 | + | 1.97611i | ||||
\(495\) | 10.0290 | − | 2.24743i | 0.450768 | − | 0.101015i | ||||
\(496\) | −23.7274 | −1.06539 | ||||||||
\(497\) | 19.4415 | − | 10.2709i | 0.872072 | − | 0.460711i | ||||
\(498\) | −8.37788 | + | 25.7845i | −0.375422 | + | 1.15543i | ||||
\(499\) | 23.6185 | − | 26.2310i | 1.05731 | − | 1.17426i | 0.0730849 | − | 0.997326i | \(-0.476716\pi\) |
0.984223 | − | 0.176933i | \(-0.0566177\pi\) | |||||||
\(500\) | −0.579270 | − | 5.51138i | −0.0259057 | − | 0.246476i | ||||
\(501\) | 1.67857 | + | 15.9705i | 0.0749930 | + | 0.713511i | ||||
\(502\) | 17.1868 | − | 19.0879i | 0.767086 | − | 0.851936i | ||||
\(503\) | 10.9822 | − | 33.7999i | 0.489674 | − | 1.50706i | −0.335421 | − | 0.942068i | \(-0.608879\pi\) |
0.825095 | − | 0.564993i | \(-0.191121\pi\) | |||||||
\(504\) | −14.2930 | − | 8.98434i | −0.636662 | − | 0.400194i | ||||
\(505\) | 0.0651518 | 0.00289922 | ||||||||
\(506\) | 12.1019 | + | 5.22918i | 0.537994 | + | 0.232465i | ||||
\(507\) | 1.84307 | − | 3.19229i | 0.0818536 | − | 0.141775i | ||||
\(508\) | 41.2096 | − | 18.3477i | 1.82838 | − | 0.814048i | ||||
\(509\) | 20.1770 | − | 4.28874i | 0.894328 | − | 0.190095i | 0.262250 | − | 0.965000i | \(-0.415536\pi\) |
0.632078 | + | 0.774905i | \(0.282202\pi\) | |||||||
\(510\) | 17.3188 | + | 53.3019i | 0.766890 | + | 2.36025i | ||||
\(511\) | −7.56543 | − | 2.77645i | −0.334675 | − | 0.122823i | ||||
\(512\) | 41.1181 | − | 29.8740i | 1.81718 | − | 1.32026i | ||||
\(513\) | 4.36070 | − | 4.84305i | 0.192530 | − | 0.213826i | ||||
\(514\) | 7.15499 | + | 7.94642i | 0.315593 | + | 0.350501i | ||||
\(515\) | −27.4228 | + | 12.2094i | −1.20839 | + | 0.538011i | ||||
\(516\) | −10.8227 | − | 18.7454i | −0.476442 | − | 0.825222i | ||||
\(517\) | −4.33209 | − | 3.07513i | −0.190525 | − | 0.135244i | ||||
\(518\) | −26.1256 | − | 38.9564i | −1.14789 | − | 1.71165i | ||||
\(519\) | −1.59970 | − | 1.16225i | −0.0702189 | − | 0.0510170i | ||||
\(520\) | 59.0267 | − | 12.5465i | 2.58849 | − | 0.550201i | ||||
\(521\) | 34.3592 | + | 7.30328i | 1.50531 | + | 0.319963i | 0.885443 | − | 0.464748i | \(-0.153855\pi\) |
0.619862 | + | 0.784711i | \(0.287188\pi\) | |||||||
\(522\) | −1.25443 | − | 11.9351i | −0.0549048 | − | 0.522384i | ||||
\(523\) | −20.8712 | − | 9.29245i | −0.912633 | − | 0.406330i | −0.103955 | − | 0.994582i | \(-0.533150\pi\) |
−0.808678 | + | 0.588252i | \(0.799816\pi\) | |||||||
\(524\) | −3.21033 | − | 9.88039i | −0.140244 | − | 0.431627i | ||||
\(525\) | 2.97758 | − | 11.8082i | 0.129952 | − | 0.515354i | ||||
\(526\) | −43.8513 | − | 31.8598i | −1.91201 | − | 1.38915i | ||||
\(527\) | −11.5799 | − | 20.0570i | −0.504430 | − | 0.873698i | ||||
\(528\) | −11.8193 | + | 21.0025i | −0.514370 | + | 0.914015i | ||||
\(529\) | 10.2851 | − | 17.8142i | 0.447176 | − | 0.774532i | ||||
\(530\) | −4.39578 | + | 41.8230i | −0.190940 | + | 1.81668i | ||||
\(531\) | 1.79149 | − | 5.51365i | 0.0777441 | − | 0.239272i | ||||
\(532\) | −76.8459 | − | 11.0089i | −3.33169 | − | 0.477298i | ||||
\(533\) | 5.79065 | − | 4.20715i | 0.250821 | − | 0.182232i | ||||
\(534\) | −4.94064 | − | 2.19971i | −0.213802 | − | 0.0951909i | ||||
\(535\) | 42.0034 | + | 8.92809i | 1.81596 | + | 0.385995i | ||||
\(536\) | 1.26685 | + | 1.40698i | 0.0547198 | + | 0.0607725i | ||||
\(537\) | −1.79590 | + | 17.0869i | −0.0774989 | + | 0.737353i | ||||
\(538\) | −8.62972 | −0.372053 | ||||||||
\(539\) | 10.2958 | + | 20.8086i | 0.443471 | + | 0.896289i | ||||
\(540\) | −13.9520 | −0.600399 | ||||||||
\(541\) | −2.53705 | + | 24.1385i | −0.109077 | + | 1.03779i | 0.793884 | + | 0.608070i | \(0.208056\pi\) |
−0.902960 | + | 0.429724i | \(0.858611\pi\) | |||||||
\(542\) | 16.4051 | + | 18.2197i | 0.704660 | + | 0.782604i | ||||
\(543\) | −7.71370 | − | 1.63960i | −0.331027 | − | 0.0703619i | ||||
\(544\) | −37.3680 | − | 16.6373i | −1.60214 | − | 0.713318i | ||||
\(545\) | −26.1249 | + | 18.9809i | −1.11907 | + | 0.813050i | ||||
\(546\) | −20.3815 | − | 2.91986i | −0.872250 | − | 0.124958i | ||||
\(547\) | −11.8808 | + | 36.5654i | −0.507987 | + | 1.56342i | 0.287703 | + | 0.957720i | \(0.407108\pi\) |
−0.795690 | + | 0.605704i | \(0.792892\pi\) | |||||||
\(548\) | −2.21522 | + | 21.0764i | −0.0946296 | + | 0.900340i | ||||
\(549\) | −0.550820 | + | 0.954048i | −0.0235084 | + | 0.0407178i | ||||
\(550\) | −38.1634 | − | 7.67360i | −1.62729 | − | 0.327203i | ||||
\(551\) | −15.3353 | − | 26.5615i | −0.653305 | − | 1.13156i | ||||
\(552\) | −8.04695 | − | 5.84645i | −0.342501 | − | 0.248842i | ||||
\(553\) | 10.1917 | − | 40.4175i | 0.433396 | − | 1.71873i | ||||
\(554\) | 23.3397 | + | 71.8324i | 0.991611 | + | 3.05186i | ||||
\(555\) | −19.6821 | − | 8.76303i | −0.835458 | − | 0.371970i | ||||
\(556\) | −6.82411 | − | 64.9271i | −0.289407 | − | 2.75352i | ||||
\(557\) | −38.0115 | − | 8.07960i | −1.61060 | − | 0.342344i | −0.687285 | − | 0.726388i | \(-0.741198\pi\) |
−0.923315 | + | 0.384044i | \(0.874531\pi\) | |||||||
\(558\) | 8.14466 | − | 1.73120i | 0.344791 | − | 0.0732875i | ||||
\(559\) | −11.8700 | − | 8.62404i | −0.502046 | − | 0.364758i | ||||
\(560\) | 33.1822 | + | 49.4786i | 1.40220 | + | 2.09085i | ||||
\(561\) | −23.5219 | + | 0.259057i | −0.993095 | + | 0.0109374i | ||||
\(562\) | −29.8647 | − | 51.7272i | −1.25977 | − | 2.18198i | ||||
\(563\) | −9.73670 | + | 4.33506i | −0.410353 | + | 0.182701i | −0.601522 | − | 0.798856i | \(-0.705439\pi\) |
0.191169 | + | 0.981557i | \(0.438772\pi\) | |||||||
\(564\) | 4.82566 | + | 5.35944i | 0.203197 | + | 0.225673i | ||||
\(565\) | −12.7678 | + | 14.1801i | −0.537147 | + | 0.596562i | ||||
\(566\) | −25.6809 | + | 18.6582i | −1.07945 | + | 0.784264i | ||||
\(567\) | 2.48377 | + | 0.911524i | 0.104309 | + | 0.0382804i | ||||
\(568\) | 16.3869 | + | 50.4336i | 0.687577 | + | 2.11614i | ||||
\(569\) | 1.05651 | − | 0.224567i | 0.0442910 | − | 0.00941434i | −0.185713 | − | 0.982604i | \(-0.559459\pi\) |
0.230004 | + | 0.973190i | \(0.426126\pi\) | |||||||
\(570\) | −47.0445 | + | 20.9456i | −1.97048 | + | 0.877314i | ||||
\(571\) | 6.09434 | − | 10.5557i | 0.255040 | − | 0.441743i | −0.709866 | − | 0.704337i | \(-0.751245\pi\) |
0.964906 | + | 0.262594i | \(0.0845779\pi\) | |||||||
\(572\) | −4.26417 | + | 45.3722i | −0.178294 | + | 1.89711i | ||||
\(573\) | −11.4623 | −0.478845 | ||||||||
\(574\) | 13.3962 | + | 8.42064i | 0.559149 | + | 0.351471i | ||||
\(575\) | 2.21716 | − | 6.82373i | 0.0924621 | − | 0.284569i | ||||
\(576\) | 0.116112 | − | 0.128955i | 0.00483800 | − | 0.00537314i | ||||
\(577\) | 4.80817 | + | 45.7467i | 0.200167 | + | 1.90446i | 0.387021 | + | 0.922071i | \(0.373504\pi\) |
−0.186855 | + | 0.982388i | \(0.559829\pi\) | |||||||
\(578\) | −8.87706 | − | 84.4595i | −0.369237 | − | 3.51305i | ||||
\(579\) | −3.29464 | + | 3.65907i | −0.136921 | + | 0.152066i | ||||
\(580\) | −20.2906 | + | 62.4482i | −0.842523 | + | 2.59302i | ||||
\(581\) | −24.8722 | + | 13.1399i | −1.03187 | + | 0.545134i | ||||
\(582\) | 29.6206 | 1.22781 | ||||||||
\(583\) | −16.2029 | − | 7.00120i | −0.671054 | − | 0.289960i | ||||
\(584\) | 9.71790 | − | 16.8319i | 0.402129 | − | 0.696509i | ||||
\(585\) | −8.63961 | + | 3.84660i | −0.357204 | + | 0.159037i | ||||
\(586\) | 44.8405 | − | 9.53114i | 1.85234 | − | 0.393728i | ||||
\(587\) | 7.03808 | + | 21.6610i | 0.290492 | + | 0.894044i | 0.984698 | + | 0.174267i | \(0.0557557\pi\) |
−0.694206 | + | 0.719776i | \(0.744244\pi\) | |||||||
\(588\) | −7.46136 | − | 30.6204i | −0.307701 | − | 1.26276i | ||||
\(589\) | 17.2162 | − | 12.5083i | 0.709380 | − | 0.515395i | ||||
\(590\) | −30.6533 | + | 34.0439i | −1.26198 | + | 1.40157i | ||||
\(591\) | −1.48313 | − | 1.64718i | −0.0610077 | − | 0.0677559i | ||||
\(592\) | 46.1518 | − | 20.5481i | 1.89683 | − | 0.844523i | ||||
\(593\) | 3.36377 | + | 5.82622i | 0.138134 | + | 0.239254i | 0.926790 | − | 0.375580i | \(-0.122556\pi\) |
−0.788657 | + | 0.614834i | \(0.789223\pi\) | |||||||
\(594\) | 2.52471 | − | 8.07165i | 0.103590 | − | 0.331184i | ||||
\(595\) | −25.6305 | + | 52.1968i | −1.05075 | + | 2.13986i | ||||
\(596\) | −62.3039 | − | 45.2664i | −2.55207 | − | 1.85419i | ||||
\(597\) | −8.38368 | + | 1.78201i | −0.343121 | + | 0.0729326i | ||||
\(598\) | −11.8658 | − | 2.52216i | −0.485229 | − | 0.103139i | ||||
\(599\) | 2.68566 | + | 25.5524i | 0.109733 | + | 1.04404i | 0.901370 | + | 0.433050i | \(0.142563\pi\) |
−0.791637 | + | 0.610992i | \(0.790771\pi\) | |||||||
\(600\) | 26.8307 | + | 11.9458i | 1.09536 | + | 0.487686i | ||||
\(601\) | 9.16323 | + | 28.2015i | 0.373776 | + | 1.15036i | 0.944301 | + | 0.329084i | \(0.106740\pi\) |
−0.570525 | + | 0.821280i | \(0.693260\pi\) | |||||||
\(602\) | 7.93054 | − | 31.4503i | 0.323225 | − | 1.28182i | ||||
\(603\) | −0.240045 | − | 0.174403i | −0.00977540 | − | 0.00710224i | ||||
\(604\) | 14.1409 | + | 24.4927i | 0.575385 | + | 0.996596i | ||||
\(605\) | 16.3893 | − | 29.8886i | 0.666320 | − | 1.21514i | ||||
\(606\) | 0.0268060 | − | 0.0464294i | 0.00108892 | − | 0.00188607i | ||||
\(607\) | −3.91480 | + | 37.2468i | −0.158897 | + | 1.51180i | 0.566840 | + | 0.823828i | \(0.308166\pi\) |
−0.725736 | + | 0.687973i | \(0.758501\pi\) | |||||||
\(608\) | 11.6143 | − | 35.7453i | 0.471024 | − | 1.44966i | ||||
\(609\) | 7.69210 | − | 9.79153i | 0.311700 | − | 0.396773i | ||||
\(610\) | 7.04257 | − | 5.11672i | 0.285145 | − | 0.207170i | ||||
\(611\) | 4.46584 | + | 1.98832i | 0.180669 | + | 0.0804389i | ||||
\(612\) | 31.2352 | + | 6.63925i | 1.26261 | + | 0.268376i | ||||
\(613\) | −28.7089 | − | 31.8845i | −1.15954 | − | 1.28780i | −0.950791 | − | 0.309834i | \(-0.899726\pi\) |
−0.208753 | − | 0.977969i | \(-0.566940\pi\) | |||||||
\(614\) | −2.00209 | + | 19.0486i | −0.0807976 | + | 0.768738i | ||||
\(615\) | 7.26781 | 0.293066 | ||||||||
\(616\) | −53.6922 | + | 15.8822i | −2.16332 | + | 0.639913i | ||||
\(617\) | −33.7625 | −1.35923 | −0.679613 | − | 0.733571i | \(-0.737852\pi\) | ||||
−0.679613 | + | 0.733571i | \(0.737852\pi\) | |||||||
\(618\) | −2.58197 | + | 24.5658i | −0.103862 | + | 0.988183i | ||||
\(619\) | −2.07356 | − | 2.30292i | −0.0833433 | − | 0.0925621i | 0.700031 | − | 0.714113i | \(-0.253170\pi\) |
−0.783374 | + | 0.621551i | \(0.786503\pi\) | |||||||
\(620\) | −44.5630 | − | 9.47217i | −1.78969 | − | 0.380411i | ||||
\(621\) | 1.42404 | + | 0.634025i | 0.0571449 | + | 0.0254426i | ||||
\(622\) | −2.19213 | + | 1.59268i | −0.0878966 | + | 0.0638606i | ||||
\(623\) | −2.08817 | − | 5.20833i | −0.0836608 | − | 0.208668i | ||||
\(624\) | 6.85274 | − | 21.0906i | 0.274329 | − | 0.844298i | ||||
\(625\) | 2.80431 | − | 26.6813i | 0.112173 | − | 1.06725i | ||||
\(626\) | −1.09073 | + | 1.88920i | −0.0435943 | + | 0.0755075i | ||||
\(627\) | −2.49590 | − | 21.4697i | −0.0996768 | − | 0.857419i | ||||
\(628\) | 22.3957 | + | 38.7906i | 0.893688 | + | 1.54791i | ||||
\(629\) | 39.8935 | + | 28.9843i | 1.59066 | + | 1.15568i | ||||
\(630\) | −15.0002 | − | 14.5630i | −0.597621 | − | 0.580202i | ||||
\(631\) | −3.11731 | − | 9.59410i | −0.124098 | − | 0.381935i | 0.869637 | − | 0.493691i | \(-0.164353\pi\) |
−0.993736 | + | 0.111756i | \(0.964353\pi\) | |||||||
\(632\) | 91.8368 | + | 40.8884i | 3.65307 | + | 1.62645i | ||||
\(633\) | −1.93326 | − | 18.3937i | −0.0768402 | − | 0.731085i | ||||
\(634\) | 79.8170 | + | 16.9656i | 3.16994 | + | 0.673791i | ||||
\(635\) | 30.3693 | − | 6.45518i | 1.20517 | − | 0.256166i | ||||
\(636\) | 19.3849 | + | 14.0839i | 0.768660 | + | 0.558464i | ||||
\(637\) | −13.0625 | − | 16.9042i | −0.517554 | − | 0.669768i | ||||
\(638\) | −32.4564 | − | 23.0391i | −1.28496 | − | 0.912128i | ||||
\(639\) | −4.15530 | − | 7.19720i | −0.164381 | − | 0.284717i | ||||
\(640\) | 31.4006 | − | 13.9804i | 1.24122 | − | 0.552625i | ||||
\(641\) | −3.04453 | − | 3.38130i | −0.120252 | − | 0.133553i | 0.680013 | − | 0.733200i | \(-0.261974\pi\) |
−0.800265 | + | 0.599647i | \(0.795308\pi\) | |||||||
\(642\) | 23.6443 | − | 26.2596i | 0.933166 | − | 1.03639i | ||||
\(643\) | 6.55022 | − | 4.75901i | 0.258315 | − | 0.187677i | −0.451089 | − | 0.892479i | \(-0.648964\pi\) |
0.709404 | + | 0.704802i | \(0.248964\pi\) | |||||||
\(644\) | −3.17566 | − | 18.2951i | −0.125138 | − | 0.720927i | ||||
\(645\) | −4.60372 | − | 14.1688i | −0.181271 | − | 0.557895i | ||||
\(646\) | 115.289 | − | 24.5054i | 4.53597 | − | 0.964151i | ||||
\(647\) | 44.7441 | − | 19.9213i | 1.75907 | − | 0.783188i | 0.769587 | − | 0.638542i | \(-0.220462\pi\) |
0.989483 | − | 0.144646i | \(-0.0462044\pi\) | |||||||
\(648\) | −3.19044 | + | 5.52600i | −0.125332 | + | 0.217082i | ||||
\(649\) | −9.79668 | − | 16.5448i | −0.384553 | − | 0.649442i | ||||
\(650\) | 35.8197 | 1.40496 | ||||||||
\(651\) | 7.31438 | + | 4.59769i | 0.286673 | + | 0.180198i | ||||
\(652\) | −4.81780 | + | 14.8277i | −0.188680 | + | 0.580696i | ||||
\(653\) | −6.97460 | + | 7.74608i | −0.272937 | + | 0.303127i | −0.863994 | − | 0.503503i | \(-0.832044\pi\) |
0.591056 | + | 0.806630i | \(0.298711\pi\) | |||||||
\(654\) | 2.77758 | + | 26.4270i | 0.108612 | + | 1.03338i | ||||
\(655\) | −0.747418 | − | 7.11120i | −0.0292040 | − | 0.277858i | ||||
\(656\) | −11.4033 | + | 12.6647i | −0.445226 | + | 0.494473i | ||||
\(657\) | −0.941249 | + | 2.89687i | −0.0367216 | + | 0.113017i | ||||
\(658\) | −0.405934 | + | 10.7990i | −0.0158250 | + | 0.420991i | ||||
\(659\) | −11.6399 | −0.453427 | −0.226713 | − | 0.973962i | \(-0.572798\pi\) | ||||
−0.226713 | + | 0.973962i | \(0.572798\pi\) | |||||||
\(660\) | −30.5825 | + | 34.7269i | −1.19042 | + | 1.35174i | ||||
\(661\) | 4.28380 | − | 7.41976i | 0.166620 | − | 0.288595i | −0.770609 | − | 0.637308i | \(-0.780048\pi\) |
0.937230 | + | 0.348713i | \(0.113381\pi\) | |||||||
\(662\) | 21.6824 | − | 9.65364i | 0.842712 | − | 0.375199i | ||||
\(663\) | 21.1725 | − | 4.50035i | 0.822271 | − | 0.174779i | ||||
\(664\) | −20.9643 | − | 64.5214i | −0.813572 | − | 2.50392i | ||||
\(665\) | −50.1598 | − | 18.4082i | −1.94511 | − | 0.713841i | ||||
\(666\) | −14.3428 | + | 10.4207i | −0.555773 | + | 0.403793i | ||||
\(667\) | 4.90886 | − | 5.45184i | 0.190072 | − | 0.211096i | ||||
\(668\) | −48.3787 | − | 53.7299i | −1.87183 | − | 2.07887i | ||||
\(669\) | −1.73105 | + | 0.770715i | −0.0669264 | + | 0.0297976i | ||||
\(670\) | 1.17230 | + | 2.03049i | 0.0452899 | + | 0.0784445i | ||||
\(671\) | 1.16726 | + | 3.46226i | 0.0450617 | + | 0.133659i | ||||
\(672\) | 15.2243 | − | 1.02381i | 0.587289 | − | 0.0394944i | ||||
\(673\) | 1.53843 | + | 1.11773i | 0.0593020 | + | 0.0430854i | 0.617041 | − | 0.786931i | \(-0.288331\pi\) |
−0.557739 | + | 0.830016i | \(0.688331\pi\) | |||||||
\(674\) | −2.94802 | + | 0.626621i | −0.113553 | + | 0.0241365i | ||||
\(675\) | −4.50222 | − | 0.956976i | −0.173290 | − | 0.0368340i | ||||
\(676\) | 1.73478 | + | 16.5053i | 0.0667223 | + | 0.634820i | ||||
\(677\) | −12.0578 | − | 5.36848i | −0.463419 | − | 0.206327i | 0.161727 | − | 0.986836i | \(-0.448294\pi\) |
−0.625145 | + | 0.780508i | \(0.714960\pi\) | |||||||
\(678\) | 4.85204 | + | 14.9331i | 0.186342 | + | 0.573500i | ||||
\(679\) | 22.0506 | + | 21.4079i | 0.846225 | + | 0.821561i | ||||
\(680\) | −113.459 | − | 82.4329i | −4.35096 | − | 3.16116i | ||||
\(681\) | −6.35417 | − | 11.0057i | −0.243492 | − | 0.421741i | ||||
\(682\) | 13.5439 | − | 24.0670i | 0.518623 | − | 0.921573i | ||||
\(683\) | 9.17303 | − | 15.8882i | 0.350996 | − | 0.607943i | −0.635428 | − | 0.772160i | \(-0.719176\pi\) |
0.986424 | + | 0.164217i | \(0.0525096\pi\) | |||||||
\(684\) | −3.06703 | + | 29.1808i | −0.117271 | + | 1.11576i | ||||
\(685\) | −4.50740 | + | 13.8723i | −0.172219 | + | 0.530035i | ||||
\(686\) | 23.9393 | − | 40.7088i | 0.914008 | − | 1.55427i | ||||
\(687\) | 9.43606 | − | 6.85570i | 0.360008 | − | 0.261561i | ||||
\(688\) | 31.9135 | + | 14.2088i | 1.21669 | + | 0.541705i | ||||
\(689\) | 15.8868 | + | 3.37684i | 0.605239 | + | 0.128648i | ||||
\(690\) | −8.24210 | − | 9.15378i | −0.313771 | − | 0.348478i | ||||
\(691\) | 1.83377 | − | 17.4472i | 0.0697600 | − | 0.663722i | −0.902639 | − | 0.430398i | \(-0.858373\pi\) |
0.972399 | − | 0.233324i | \(-0.0749602\pi\) | |||||||
\(692\) | 8.90263 | 0.338427 | ||||||||
\(693\) | 7.71318 | − | 4.18413i | 0.292999 | − | 0.158942i | ||||
\(694\) | −68.8066 | −2.61186 | ||||||||
\(695\) | 4.69686 | − | 44.6876i | 0.178162 | − | 1.69510i | ||||
\(696\) | 20.0941 | + | 22.3167i | 0.761663 | + | 0.845913i | ||||
\(697\) | −16.2709 | − | 3.45848i | −0.616304 | − | 0.130999i | ||||
\(698\) | −79.3740 | − | 35.3396i | −3.00435 | − | 1.33762i | ||||
\(699\) | 18.4561 | − | 13.4091i | 0.698073 | − | 0.507179i | ||||
\(700\) | 20.4037 | + | 50.8910i | 0.771186 | + | 1.92350i | ||||
\(701\) | 1.45326 | − | 4.47267i | 0.0548888 | − | 0.168930i | −0.919854 | − | 0.392261i | \(-0.871693\pi\) |
0.974743 | + | 0.223331i | \(0.0716930\pi\) | |||||||
\(702\) | −0.813456 | + | 7.73952i | −0.0307019 | + | 0.292109i | ||||
\(703\) | −22.6547 | + | 39.2390i | −0.854436 | + | 1.47993i | ||||
\(704\) | −0.0664582 | − | 0.571672i | −0.00250474 | − | 0.0215457i | ||||
\(705\) | 2.48186 | + | 4.29871i | 0.0934723 | + | 0.161899i | ||||
\(706\) | −58.0723 | − | 42.1920i | −2.18558 | − | 1.58792i | ||||
\(707\) | 0.0535117 | − | 0.0151900i | 0.00201251 | − | 0.000571278i | ||||
\(708\) | 8.06590 | + | 24.8243i | 0.303135 | + | 0.932954i | ||||
\(709\) | 1.74099 | + | 0.775140i | 0.0653843 | + | 0.0291110i | 0.439168 | − | 0.898405i | \(-0.355273\pi\) |
−0.373784 | + | 0.927516i | \(0.621940\pi\) | |||||||
\(710\) | 6.86438 | + | 65.3102i | 0.257615 | + | 2.45105i | ||||
\(711\) | −15.4103 | − | 3.27556i | −0.577931 | − | 0.122843i | ||||
\(712\) | 13.2374 | − | 2.81370i | 0.496093 | − | 0.105448i | ||||
\(713\) | 4.11798 | + | 2.99189i | 0.154220 | + | 0.112047i | ||||
\(714\) | 26.6518 | + | 39.7410i | 0.997419 | + | 1.48727i | ||||
\(715\) | −9.36354 | + | 29.9358i | −0.350177 | + | 1.11954i | ||||
\(716\) | −38.6773 | − | 66.9910i | −1.44544 | − | 2.50357i | ||||
\(717\) | −21.4717 | + | 9.55980i | −0.801874 | + | 0.357017i | ||||
\(718\) | −41.9050 | − | 46.5402i | −1.56388 | − | 1.73687i | ||||
\(719\) | −19.7930 | + | 21.9824i | −0.738155 | + | 0.819804i | −0.988952 | − | 0.148235i | \(-0.952641\pi\) |
0.250797 | + | 0.968040i | \(0.419307\pi\) | |||||||
\(720\) | 18.2169 | − | 13.2353i | 0.678902 | − | 0.493251i | ||||
\(721\) | −19.6768 | + | 16.4216i | −0.732802 | + | 0.611573i | ||||
\(722\) | 18.4946 | + | 56.9206i | 0.688299 | + | 2.11837i | ||||
\(723\) | 17.1991 | − | 3.65578i | 0.639641 | − | 0.135960i | ||||
\(724\) | 32.4360 | − | 14.4414i | 1.20547 | − | 0.536711i | ||||
\(725\) | −10.8310 | + | 18.7598i | −0.402253 | + | 0.696723i | ||||
\(726\) | −14.5564 | − | 23.9769i | −0.540240 | − | 0.889867i | ||||
\(727\) | −21.5880 | −0.800654 | −0.400327 | − | 0.916372i | \(-0.631103\pi\) | ||||
−0.400327 | + | 0.916372i | \(0.631103\pi\) | |||||||
\(728\) | 45.5557 | − | 24.0669i | 1.68841 | − | 0.891977i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | 16.1052 | − | 17.8867i | 0.596081 | − | 0.662015i | ||||
\(731\) | 3.56422 | + | 33.9113i | 0.131827 | + | 1.25425i | ||||
\(732\) | −0.518456 | − | 4.93278i | −0.0191627 | − | 0.182321i | ||||
\(733\) | 6.54669 | − | 7.27084i | 0.241808 | − | 0.268555i | −0.610009 | − | 0.792394i | \(-0.708834\pi\) |
0.851817 | + | 0.523840i | \(0.175501\pi\) | |||||||
\(734\) | 22.9965 | − | 70.7759i | 0.848815 | − | 2.61238i | ||||
\(735\) | −0.641455 | − | 21.6824i | −0.0236604 | − | 0.799767i | ||||
\(736\) | 8.99001 | 0.331376 | ||||||||
\(737\) | −0.960267 | + | 0.215191i | −0.0353719 | + | 0.00792665i | ||||
\(738\) | 2.99026 | − | 5.17929i | 0.110073 | − | 0.190652i | ||||
\(739\) | −5.56276 | + | 2.47670i | −0.204629 | + | 0.0911068i | −0.506492 | − | 0.862244i | \(-0.669058\pi\) |
0.301863 | + | 0.953351i | \(0.402391\pi\) | |||||||
\(740\) | 94.8819 | − | 20.1678i | 3.48793 | − | 0.741382i | ||||
\(741\) | 6.14600 | + | 18.9154i | 0.225779 | + | 0.694876i | ||||
\(742\) | 6.14051 | + | 35.3757i | 0.225425 | + | 1.29868i | ||||
\(743\) | 16.4179 | − | 11.9283i | 0.602313 | − | 0.437606i | −0.244386 | − | 0.969678i | \(-0.578586\pi\) |
0.846699 | + | 0.532072i | \(0.178586\pi\) | |||||||
\(744\) | −13.9420 | + | 15.4842i | −0.511138 | + | 0.567677i | ||||
\(745\) | −35.4674 | − | 39.3906i | −1.29943 | − | 1.44316i | ||||
\(746\) | 10.3886 | − | 4.62532i | 0.380355 | − | 0.169345i | ||||
\(747\) | 5.31603 | + | 9.20763i | 0.194503 | + | 0.336890i | ||||
\(748\) | 84.9922 | − | 63.1921i | 3.10762 | − | 2.31053i | ||||
\(749\) | 36.5805 | − | 2.45999i | 1.33662 | − | 0.0898862i | ||||
\(750\) | −2.53922 | − | 1.84485i | −0.0927193 | − | 0.0673645i | ||||
\(751\) | −22.3840 | + | 4.75787i | −0.816804 | + | 0.173617i | −0.597324 | − | 0.802000i | \(-0.703769\pi\) |
−0.219480 | + | 0.975617i | \(0.570436\pi\) | |||||||
\(752\) | −11.3849 | − | 2.41994i | −0.415165 | − | 0.0882460i | ||||
\(753\) | −1.05289 | − | 10.0176i | −0.0383696 | − | 0.365063i | ||||
\(754\) | 33.4585 | + | 14.8967i | 1.21849 | + | 0.542505i | ||||
\(755\) | 6.01520 | + | 18.5129i | 0.218916 | + | 0.673753i | ||||
\(756\) | −11.4593 | + | 3.25288i | −0.416771 | + | 0.118306i | ||||
\(757\) | 35.8965 | + | 26.0803i | 1.30468 | + | 0.947906i | 0.999990 | − | 0.00454467i | \(-0.00144662\pi\) |
0.304692 | + | 0.952451i | \(0.401447\pi\) | |||||||
\(758\) | 28.2325 | + | 48.9001i | 1.02545 | + | 1.77613i | ||||
\(759\) | 4.69958 | − | 2.15471i | 0.170584 | − | 0.0782110i | ||||
\(760\) | 64.4310 | − | 111.598i | 2.33716 | − | 4.04807i | ||||
\(761\) | 3.65740 | − | 34.7978i | 0.132581 | − | 1.26142i | −0.702656 | − | 0.711530i | \(-0.748003\pi\) |
0.835237 | − | 0.549891i | \(-0.185331\pi\) | |||||||
\(762\) | 7.89492 | − | 24.2981i | 0.286003 | − | 0.880226i | ||||
\(763\) | −17.0320 | + | 21.6806i | −0.616601 | + | 0.784892i | ||||
\(764\) | 41.7511 | − | 30.3340i | 1.51050 | − | 1.09744i | ||||
\(765\) | 20.0785 | + | 8.93953i | 0.725940 | + | 0.323209i | ||||
\(766\) | −85.8270 | − | 18.2431i | −3.10106 | − | 0.659150i | ||||
\(767\) | 11.8388 | + | 13.1483i | 0.427475 | + | 0.474759i | ||||
\(768\) | 2.99278 | − | 28.4744i | 0.107993 | − | 1.02748i | ||||
\(769\) | 1.66567 | 0.0600656 | 0.0300328 | − | 0.999549i | \(-0.490439\pi\) | ||||
0.0300328 | + | 0.999549i | \(0.490439\pi\) | |||||||
\(770\) | −69.1275 | + | 5.41408i | −2.49118 | + | 0.195110i | ||||
\(771\) | 4.19337 | 0.151021 | ||||||||
\(772\) | 2.31723 | − | 22.0470i | 0.0833990 | − | 0.793488i | ||||
\(773\) | 0.706391 | + | 0.784527i | 0.0254071 | + | 0.0282175i | 0.755714 | − | 0.654901i | \(-0.227290\pi\) |
−0.730307 | + | 0.683119i | \(0.760623\pi\) | |||||||
\(774\) | −11.9913 | − | 2.54883i | −0.431018 | − | 0.0916158i | ||||
\(775\) | −13.7305 | − | 6.11321i | −0.493214 | − | 0.219593i | ||||
\(776\) | −59.9648 | + | 43.5670i | −2.15261 | + | 1.56396i | ||||
\(777\) | −18.2087 | − | 2.60858i | −0.653234 | − | 0.0935824i | ||||
\(778\) | −10.0141 | + | 30.8201i | −0.359022 | + | 1.10496i | ||||
\(779\) | 1.59766 | − | 15.2007i | 0.0572421 | − | 0.544622i | ||||
\(780\) | 21.2898 | − | 36.8750i | 0.762297 | − | 1.32034i | ||||
\(781\) | −27.0223 | − | 5.43345i | −0.966935 | − | 0.194424i | ||||
\(782\) | 14.0961 | + | 24.4152i | 0.504077 | + | 0.873087i | ||||
\(783\) | −3.80745 | − | 2.76627i | −0.136067 | − | 0.0988585i | ||||
\(784\) | 38.7896 | + | 32.9023i | 1.38534 | + | 1.17508i | ||||
\(785\) | 9.52662 | + | 29.3199i | 0.340020 | + | 1.04647i | ||||
\(786\) | −5.37520 | − | 2.39319i | −0.191727 | − | 0.0853624i | ||||
\(787\) | −4.65130 | − | 44.2541i | −0.165801 | − | 1.57749i | −0.688669 | − | 0.725076i | \(-0.741805\pi\) |
0.522868 | − | 0.852414i | \(-0.324862\pi\) | |||||||
\(788\) | 9.76134 | + | 2.07484i | 0.347733 | + | 0.0739130i | ||||
\(789\) | −20.7919 | + | 4.41946i | −0.740212 | + | 0.157337i | ||||
\(790\) | 100.716 | + | 73.1743i | 3.58331 | + | 2.60342i | ||||
\(791\) | −7.18065 | + | 14.6235i | −0.255315 | + | 0.519951i | ||||
\(792\) | 6.76098 | + | 20.0539i | 0.240241 | + | 0.712586i | ||||
\(793\) | −1.68103 | − | 2.91162i | −0.0596950 | − | 0.103395i | ||||
\(794\) | −70.4368 | + | 31.3605i | −2.49971 | + | 1.11294i | ||||
\(795\) | 11.0351 | + | 12.2557i | 0.391375 | + | 0.434666i | ||||
\(796\) | 25.8213 | − | 28.6775i | 0.915213 | − | 1.01645i | ||||
\(797\) | 6.09615 | − | 4.42911i | 0.215937 | − | 0.156887i | −0.474559 | − | 0.880224i | \(-0.657392\pi\) |
0.690496 | + | 0.723336i | \(0.257392\pi\) | |||||||
\(798\) | −33.7561 | + | 28.1717i | −1.19495 | + | 0.997268i | ||||
\(799\) | −3.51069 | − | 10.8048i | −0.124199 | − | 0.382247i | ||||
\(800\) | −25.9653 | + | 5.51910i | −0.918012 | + | 0.195130i | ||||
\(801\) | −1.93753 | + | 0.862644i | −0.0684592 | + | 0.0304800i | ||||
\(802\) | −16.3214 | + | 28.2694i | −0.576327 | + | 0.998228i | ||||
\(803\) | 5.14717 | + | 8.69265i | 0.181640 | + | 0.306757i | ||||
\(804\) | 1.33590 | 0.0471135 | ||||||||
\(805\) | 0.480070 | − | 12.7713i | 0.0169202 | − | 0.450129i | ||||
\(806\) | −7.85264 | + | 24.1679i | −0.276597 | + | 0.851279i | ||||
\(807\) | −2.26450 | + | 2.51498i | −0.0797142 | + | 0.0885316i | ||||
\(808\) | 0.0140231 | + | 0.133420i | 0.000493329 | + | 0.00469372i | ||||
\(809\) | −0.522040 | − | 4.96688i | −0.0183540 | − | 0.174626i | 0.981505 | − | 0.191438i | \(-0.0613151\pi\) |
−0.999859 | + | 0.0168118i | \(0.994648\pi\) | |||||||
\(810\) | −5.28743 | + | 5.87228i | −0.185781 | + | 0.206331i | ||||
\(811\) | −1.17982 | + | 3.63110i | −0.0414290 | + | 0.127505i | −0.969632 | − | 0.244569i | \(-0.921353\pi\) |
0.928203 | + | 0.372075i | \(0.121353\pi\) | |||||||
\(812\) | −2.10585 | + | 56.0218i | −0.0739007 | + | 1.96598i | ||||
\(813\) | 9.61465 | 0.337201 | ||||||||
\(814\) | −5.50185 | + | 58.5415i | −0.192840 | + | 2.05188i | ||||
\(815\) | −5.36534 | + | 9.29305i | −0.187940 | + | 0.325521i | ||||
\(816\) | −47.0814 | + | 20.9620i | −1.64818 | + | 0.733816i | ||||
\(817\) | −30.6462 | + | 6.51406i | −1.07218 | + | 0.227898i | ||||
\(818\) | −7.57811 | − | 23.3230i | −0.264963 | − | 0.815471i | ||||
\(819\) | −6.19921 | + | 5.17366i | −0.216618 | + | 0.180782i | ||||
\(820\) | −26.4727 | + | 19.2336i | −0.924468 | + | 0.671666i | ||||
\(821\) | −3.83810 | + | 4.26264i | −0.133951 | + | 0.148767i | −0.806388 | − | 0.591387i | \(-0.798581\pi\) |
0.672437 | + | 0.740154i | \(0.265247\pi\) | |||||||
\(822\) | 8.03138 | + | 8.91975i | 0.280127 | + | 0.311112i | ||||
\(823\) | 14.1979 | − | 6.32131i | 0.494908 | − | 0.220347i | −0.144077 | − | 0.989566i | \(-0.546021\pi\) |
0.638985 | + | 0.769219i | \(0.279355\pi\) | |||||||
\(824\) | −30.9053 | − | 53.5295i | −1.07664 | − | 1.86479i | ||||
\(825\) | −12.2507 | + | 9.10846i | −0.426514 | + | 0.317116i | ||||
\(826\) | −17.2395 | + | 35.1083i | −0.599838 | + | 1.22157i | ||||
\(827\) | −31.9408 | − | 23.2064i | −1.11069 | − | 0.806965i | −0.127919 | − | 0.991785i | \(-0.540830\pi\) |
−0.982772 | + | 0.184820i | \(0.940830\pi\) | |||||||
\(828\) | −6.86492 | + | 1.45918i | −0.238573 | + | 0.0507102i | ||||
\(829\) | 37.9542 | + | 8.06741i | 1.31820 | + | 0.280193i | 0.812726 | − | 0.582647i | \(-0.197983\pi\) |
0.505478 | + | 0.862839i | \(0.331316\pi\) | |||||||
\(830\) | −8.78184 | − | 83.5536i | −0.304822 | − | 2.90019i | ||||
\(831\) | 27.0588 | + | 12.0474i | 0.938661 | + | 0.417919i | ||||
\(832\) | 0.163649 | + | 0.503659i | 0.00567350 | + | 0.0174612i | ||||
\(833\) | −8.88179 | + | 48.8469i | −0.307736 | + | 1.69245i | ||||
\(834\) | −29.9134 | − | 21.7334i | −1.03582 | − | 0.752565i | ||||
\(835\) | −24.8813 | − | 43.0958i | −0.861055 | − | 1.49139i | ||||
\(836\) | 65.9089 | + | 71.5976i | 2.27951 | + | 2.47626i | ||||
\(837\) | 1.63269 | − | 2.82790i | 0.0564340 | − | 0.0977466i | ||||
\(838\) | −8.44156 | + | 80.3160i | −0.291609 | + | 2.77447i | ||||
\(839\) | 0.173527 | − | 0.534062i | 0.00599082 | − | 0.0184379i | −0.948016 | − | 0.318221i | \(-0.896914\pi\) |
0.954007 | + | 0.299784i | \(0.0969145\pi\) | |||||||
\(840\) | 51.7865 | + | 7.41894i | 1.78681 | + | 0.255978i | ||||
\(841\) | 5.54263 | − | 4.02696i | 0.191125 | − | 0.138861i | ||||
\(842\) | −22.7920 | − | 10.1477i | −0.785465 | − | 0.349711i | ||||
\(843\) | −22.9117 | − | 4.87004i | −0.789122 | − | 0.167733i | ||||
\(844\) | 55.7191 | + | 61.8824i | 1.91793 | + | 2.13008i | ||||
\(845\) | −1.19400 | + | 11.3602i | −0.0410750 | + | 0.390802i | ||||
\(846\) | 4.08454 | 0.140429 | ||||||||
\(847\) | 6.49272 | − | 28.3698i | 0.223092 | − | 0.974797i | ||||
\(848\) | −38.6709 | −1.32796 | ||||||||
\(849\) | −1.30122 | + | 12.3803i | −0.0446579 | + | 0.424891i | ||||
\(850\) | −55.7019 | − | 61.8632i | −1.91056 | − | 2.12189i | ||||
\(851\) | −10.6008 | − | 2.25328i | −0.363392 | − | 0.0772413i | ||||
\(852\) | 34.1823 | + | 15.2189i | 1.17107 | + | 0.521392i | ||||
\(853\) | 35.2322 | − | 25.5977i | 1.20633 | − | 0.876447i | 0.211434 | − | 0.977392i | \(-0.432187\pi\) |
0.994892 | + | 0.100945i | \(0.0321867\pi\) | |||||||
\(854\) | 4.59138 | − | 5.84452i | 0.157114 | − | 0.199995i | ||||
\(855\) | −6.24060 | + | 19.2066i | −0.213424 | + | 0.656852i | ||||
\(856\) | −9.24263 | + | 87.9378i | −0.315907 | + | 3.00565i | ||||
\(857\) | −18.1727 | + | 31.4760i | −0.620766 | + | 1.07520i | 0.368577 | + | 0.929597i | \(0.379845\pi\) |
−0.989343 | + | 0.145601i | \(0.953488\pi\) | |||||||
\(858\) | 17.4808 | + | 18.9896i | 0.596783 | + | 0.648293i | ||||
\(859\) | 12.5605 | + | 21.7554i | 0.428559 | + | 0.742285i | 0.996745 | − | 0.0806142i | \(-0.0256882\pi\) |
−0.568187 | + | 0.822900i | \(0.692355\pi\) | |||||||
\(860\) | 54.2652 | + | 39.4260i | 1.85043 | + | 1.34442i | ||||
\(861\) | 5.96933 | − | 1.69447i | 0.203434 | − | 0.0577474i | ||||
\(862\) | −16.8886 | − | 51.9779i | −0.575230 | − | 1.77037i | ||||
\(863\) | −22.8705 | − | 10.1826i | −0.778520 | − | 0.346619i | −0.0212948 | − | 0.999773i | \(-0.506779\pi\) |
−0.757225 | + | 0.653154i | \(0.773446\pi\) | |||||||
\(864\) | −0.602839 | − | 5.73563i | −0.0205090 | − | 0.195130i | ||||
\(865\) | 5.99354 | + | 1.27397i | 0.203787 | + | 0.0433162i | ||||
\(866\) | −82.4916 | + | 17.5341i | −2.80318 | + | 0.595834i | ||||
\(867\) | −26.9437 | − | 19.5757i | −0.915056 | − | 0.664827i | ||||
\(868\) | −38.8097 | + | 2.60991i | −1.31729 | + | 0.0885860i | ||||
\(869\) | −41.9319 | + | 31.1766i | −1.42244 | + | 1.05759i | ||||
\(870\) | 18.5943 | + | 32.2063i | 0.630406 | + | 1.09190i | ||||
\(871\) | 0.827238 | − | 0.368310i | 0.0280299 | − | 0.0124797i | ||||
\(872\) | −44.4928 | − | 49.4142i | −1.50671 | − | 1.67338i | ||||
\(873\) | 7.77266 | − | 8.63241i | 0.263065 | − | 0.292163i | ||||
\(874\) | −20.9571 | + | 15.2262i | −0.708884 | + | 0.515035i | ||||
\(875\) | −0.556943 | − | 3.20857i | −0.0188281 | − | 0.108469i | ||||
\(876\) | −4.23782 | − | 13.0427i | −0.143183 | − | 0.440671i | ||||
\(877\) | 43.2419 | − | 9.19135i | 1.46017 | − | 0.310370i | 0.591722 | − | 0.806142i | \(-0.298448\pi\) |
0.868453 | + | 0.495772i | \(0.165115\pi\) | |||||||
\(878\) | 16.6347 | − | 7.40625i | 0.561394 | − | 0.249949i | ||||
\(879\) | 8.98879 | − | 15.5690i | 0.303184 | − | 0.525130i | ||||
\(880\) | 6.98791 | − | 74.3537i | 0.235562 | − | 2.50646i | ||||
\(881\) | −23.3263 | −0.785884 | −0.392942 | − | 0.919563i | \(-0.628543\pi\) | ||||
−0.392942 | + | 0.919563i | \(0.628543\pi\) | |||||||
\(882\) | −15.7155 | − | 8.46386i | −0.529169 | − | 0.284993i | ||||
\(883\) | 14.5052 | − | 44.6424i | 0.488139 | − | 1.50234i | −0.339243 | − | 0.940699i | \(-0.610171\pi\) |
0.827382 | − | 0.561639i | \(-0.189829\pi\) | |||||||
\(884\) | −65.2103 | + | 72.4233i | −2.19326 | + | 2.43586i | ||||
\(885\) | 1.87787 | + | 17.8668i | 0.0631240 | + | 0.600585i | ||||
\(886\) | 5.86667 | + | 55.8177i | 0.197095 | + | 1.87523i | ||||
\(887\) | 18.3530 | − | 20.3830i | 0.616232 | − | 0.684395i | −0.351555 | − | 0.936167i | \(-0.614347\pi\) |
0.967786 | + | 0.251773i | \(0.0810135\pi\) | |||||||
\(888\) | 13.7090 | − | 42.1919i | 0.460043 | − | 1.41587i | ||||
\(889\) | 23.4384 | − | 12.3824i | 0.786099 | − | 0.415292i | ||||
\(890\) | 16.7591 | 0.561768 | ||||||||
\(891\) | −1.68984 | − | 2.85384i | −0.0566119 | − | 0.0956074i | ||||
\(892\) | 4.26568 | − | 7.38838i | 0.142826 | − | 0.247381i | ||||
\(893\) | 9.53639 | − | 4.24587i | 0.319123 | − | 0.142083i | ||||
\(894\) | −42.6637 | + | 9.06846i | −1.42689 | + | 0.303295i | ||||
\(895\) | −16.4524 | − | 50.6353i | −0.549943 | − | 1.69255i | ||||
\(896\) | 22.5310 | − | 18.8036i | 0.752708 | − | 0.628185i | ||||
\(897\) | −3.84872 | + | 2.79626i | −0.128505 | + | 0.0933643i | ||||
\(898\) | −17.0181 | + | 18.9005i | −0.567900 | + | 0.630717i | ||||
\(899\) | −10.2830 | − | 11.4205i | −0.342958 | − | 0.380894i | ||||
\(900\) | 18.9317 | − | 8.42895i | 0.631057 | − | 0.280965i | ||||
\(901\) | −18.8729 | − | 32.6889i | −0.628749 | − | 1.08903i | ||||
\(902\) | −6.33678 | − | 18.7957i | −0.210992 | − | 0.625829i | ||||
\(903\) | −7.08462 | − | 10.5640i | −0.235761 | − | 0.351548i | ||||
\(904\) | −31.7867 | − | 23.0944i | −1.05721 | − | 0.768108i | ||||
\(905\) | 23.9035 | − | 5.08085i | 0.794580 | − | 0.168893i | ||||
\(906\) | 15.6678 | + | 3.33029i | 0.520528 | + | 0.110642i | ||||
\(907\) | 4.08168 | + | 38.8346i | 0.135530 | + | 1.28948i | 0.824985 | + | 0.565154i | \(0.191183\pi\) |
−0.689455 | + | 0.724328i | \(0.742150\pi\) | |||||||
\(908\) | 52.2705 | + | 23.2723i | 1.73466 | + | 0.772320i | ||||
\(909\) | −0.00649696 | − | 0.0199956i | −0.000215491 | − | 0.000663212i | ||||
\(910\) | 61.3789 | − | 17.4232i | 2.03469 | − | 0.577574i | ||||
\(911\) | 21.6383 | + | 15.7212i | 0.716910 | + | 0.520865i | 0.885395 | − | 0.464839i | \(-0.153888\pi\) |
−0.168486 | + | 0.985704i | \(0.553888\pi\) | |||||||
\(912\) | −23.6773 | − | 41.0103i | −0.784034 | − | 1.35799i | ||||
\(913\) | 34.5706 | + | 6.95120i | 1.14412 | + | 0.230051i | ||||
\(914\) | −39.9152 | + | 69.1352i | −1.32028 | + | 2.28679i | ||||
\(915\) | 0.356840 | − | 3.39510i | 0.0117968 | − | 0.112239i | ||||
\(916\) | −16.2276 | + | 49.9433i | −0.536174 | + | 1.65017i | ||||
\(917\) | −2.27184 | − | 5.66644i | −0.0750228 | − | 0.187122i | ||||
\(918\) | 14.6317 | − | 10.6306i | 0.482918 | − | 0.350860i | ||||
\(919\) | −25.2946 | − | 11.2619i | −0.834392 | − | 0.371495i | −0.0553499 | − | 0.998467i | \(-0.517627\pi\) |
−0.779042 | + | 0.626972i | \(0.784294\pi\) | |||||||
\(920\) | 30.1493 | + | 6.40843i | 0.993993 | + | 0.211280i | ||||
\(921\) | 5.02602 | + | 5.58196i | 0.165613 | + | 0.183932i | ||||
\(922\) | −4.76338 | + | 45.3205i | −0.156873 | + | 1.49255i | ||||
\(923\) | 25.3628 | 0.834828 | ||||||||
\(924\) | −17.0221 | + | 35.6527i | −0.559985 | + | 1.17289i | ||||
\(925\) | 32.0010 | 1.05219 | ||||||||
\(926\) | −2.00499 | + | 19.0762i | −0.0658880 | + | 0.626882i | ||||
\(927\) | 6.48177 | + | 7.19873i | 0.212889 | + | 0.236437i | ||||
\(928\) | −26.5490 | − | 5.64316i | −0.871513 | − | 0.185246i | ||||
\(929\) | 21.0857 | + | 9.38794i | 0.691798 | + | 0.308008i | 0.722353 | − | 0.691525i | \(-0.243061\pi\) |
−0.0305549 | + | 0.999533i | \(0.509727\pi\) | |||||||
\(930\) | −20.8749 | + | 15.1665i | −0.684516 | + | 0.497330i | ||||
\(931\) | −45.4900 | − | 3.42476i | −1.49088 | − | 0.112242i | ||||
\(932\) | −31.7396 | + | 97.6845i | −1.03967 | + | 3.19976i | ||||
\(933\) | −0.111073 | + | 1.05679i | −0.00363637 | + | 0.0345978i | ||||
\(934\) | 23.5866 | − | 40.8532i | 0.771777 | − | 1.33676i | ||||
\(935\) | 66.2623 | − | 30.3806i | 2.16701 | − | 0.993553i | ||||
\(936\) | −9.73678 | − | 16.8646i | −0.318256 | − | 0.551236i | ||||
\(937\) | 34.4432 | + | 25.0245i | 1.12521 | + | 0.817514i | 0.984991 | − | 0.172606i | \(-0.0552188\pi\) |
0.140221 | + | 0.990120i | \(0.455219\pi\) | |||||||
\(938\) | 1.43626 | + | 1.39440i | 0.0468955 | + | 0.0455286i | ||||
\(939\) | 0.264359 | + | 0.813614i | 0.00862704 | + | 0.0265513i | ||||
\(940\) | −20.4162 | − | 9.08989i | −0.665904 | − | 0.296479i | ||||
\(941\) | −4.31420 | − | 41.0469i | −0.140639 | − | 1.33809i | −0.806154 | − | 0.591706i | \(-0.798455\pi\) |
0.665515 | − | 0.746385i | \(-0.268212\pi\) | |||||||
\(942\) | 24.8140 | + | 5.27438i | 0.808484 | + | 0.171849i | ||||
\(943\) | 3.57604 | − | 0.760111i | 0.116452 | − | 0.0247526i | ||||
\(944\) | −34.0806 | − | 24.7610i | −1.10923 | − | 0.805902i | ||||
\(945\) | −8.18028 | + | 0.550114i | −0.266105 | + | 0.0178952i | ||||
\(946\) | −32.6288 | + | 24.2597i | −1.06085 | + | 0.788749i | ||||
\(947\) | 0.553573 | + | 0.958817i | 0.0179887 | + | 0.0311574i | 0.874880 | − | 0.484340i | \(-0.160940\pi\) |
−0.856891 | + | 0.515498i | \(0.827607\pi\) | |||||||
\(948\) | 64.7999 | − | 28.8508i | 2.10460 | − | 0.937029i | ||||
\(949\) | −6.22010 | − | 6.90813i | −0.201913 | − | 0.224247i | ||||
\(950\) | 51.1815 | − | 56.8428i | 1.66055 | − | 1.84422i | ||||
\(951\) | 25.8889 | − | 18.8094i | 0.839506 | − | 0.609937i | ||||
\(952\) | −112.407 | − | 41.2526i | −3.64314 | − | 1.33700i | ||||
\(953\) | −9.89852 | − | 30.4645i | −0.320644 | − | 0.986842i | −0.973368 | − | 0.229246i | \(-0.926374\pi\) |
0.652724 | − | 0.757596i | \(-0.273626\pi\) | |||||||
\(954\) | 13.2741 | − | 2.82151i | 0.429766 | − | 0.0913496i | ||||
\(955\) | 32.4490 | − | 14.4472i | 1.05003 | − | 0.467502i | ||||
\(956\) | 52.9107 | − | 91.6440i | 1.71125 | − | 2.96398i | ||||
\(957\) | −15.2312 | + | 3.41322i | −0.492353 | + | 0.110334i | ||||
\(958\) | −16.2295 | −0.524352 | ||||||||
\(959\) | −0.467797 | + | 12.4448i | −0.0151059 | + | 0.401863i | ||||
\(960\) | −0.166168 | + | 0.511412i | −0.00536305 | + | 0.0165058i | ||||
\(961\) | −13.6083 | + | 15.1136i | −0.438978 | + | 0.487534i | ||||
\(962\) | −5.65557 | − | 53.8091i | −0.182343 | − | 1.73488i | ||||
\(963\) | −1.44849 | − | 13.7815i | −0.0466769 | − | 0.444101i | ||||
\(964\) | −52.9724 | + | 58.8319i | −1.70613 | + | 1.89485i | ||||
\(965\) | 4.71496 | − | 14.5112i | 0.151780 | − | 0.467131i | ||||
\(966\) | −8.90373 | − | 5.59672i | −0.286473 | − | 0.180072i | ||||
\(967\) | 11.0182 | 0.354323 | 0.177161 | − | 0.984182i | \(-0.443309\pi\) | ||||
0.177161 | + | 0.984182i | \(0.443309\pi\) | |||||||
\(968\) | 64.7346 | + | 27.1296i | 2.08065 | + | 0.871977i | ||||
\(969\) | 23.1109 | − | 40.0293i | 0.742431 | − | 1.28593i | ||||
\(970\) | −83.8537 | + | 37.3341i | −2.69238 | + | 1.19873i | ||||
\(971\) | −1.03983 | + | 0.221022i | −0.0333696 | + | 0.00709293i | −0.224566 | − | 0.974459i | \(-0.572097\pi\) |
0.191197 | + | 0.981552i | \(0.438763\pi\) | |||||||
\(972\) | 1.39130 | + | 4.28198i | 0.0446259 | + | 0.137344i | ||||
\(973\) | −6.56109 | − | 37.7987i | −0.210339 | − | 1.21177i | ||||
\(974\) | 14.5383 | − | 10.5627i | 0.465837 | − | 0.338450i | ||||
\(975\) | 9.39935 | − | 10.4390i | 0.301020 | − | 0.334317i | ||||
\(976\) | 5.35633 | + | 5.94881i | 0.171452 | + | 0.190417i | ||||
\(977\) | 2.38529 | − | 1.06200i | 0.0763120 | − | 0.0339763i | −0.368226 | − | 0.929736i | \(-0.620035\pi\) |
0.444538 | + | 0.895760i | \(0.353368\pi\) | |||||||
\(978\) | 4.41503 | + | 7.64705i | 0.141177 | + | 0.244526i | ||||
\(979\) | −2.09988 | + | 6.71345i | −0.0671124 | + | 0.214563i | ||||
\(980\) | 59.7169 | + | 77.2798i | 1.90759 | + | 2.46861i | ||||
\(981\) | 8.43055 | + | 6.12515i | 0.269167 | + | 0.195561i | ||||
\(982\) | 14.8838 | − | 3.16366i | 0.474962 | − | 0.100956i | ||||
\(983\) | 17.8777 | + | 3.80002i | 0.570210 | + | 0.121202i | 0.483989 | − | 0.875074i | \(-0.339187\pi\) |
0.0862212 | + | 0.996276i | \(0.472521\pi\) | |||||||
\(984\) | 1.56430 | + | 14.8833i | 0.0498680 | + | 0.474462i | ||||
\(985\) | 6.27475 | + | 2.79370i | 0.199930 | + | 0.0890146i | ||||
\(986\) | −26.3024 | − | 80.9506i | −0.837640 | − | 2.57799i | ||||
\(987\) | 3.04068 | + | 2.95205i | 0.0967859 | + | 0.0939649i | ||||
\(988\) | −72.4446 | − | 52.6341i | −2.30477 | − | 1.67451i | ||||
\(989\) | −3.74706 | − | 6.49010i | −0.119150 | − | 0.206373i | ||||
\(990\) | 3.02633 | + | 26.0324i | 0.0961831 | + | 0.827365i | ||||
\(991\) | −22.3144 | + | 38.6497i | −0.708841 | + | 1.22775i | 0.256447 | + | 0.966558i | \(0.417448\pi\) |
−0.965287 | + | 0.261190i | \(0.915885\pi\) | |||||||
\(992\) | 1.96850 | − | 18.7290i | 0.0624999 | − | 0.594647i | ||||
\(993\) | 2.87624 | − | 8.85216i | 0.0912748 | − | 0.280915i | ||||
\(994\) | 20.8649 | + | 52.0413i | 0.661794 | + | 1.65065i | ||||
\(995\) | 21.4875 | − | 15.6116i | 0.681201 | − | 0.494921i | ||||
\(996\) | −43.7306 | − | 19.4701i | −1.38566 | − | 0.616934i | ||||
\(997\) | 30.4719 | + | 6.47700i | 0.965054 | + | 0.205129i | 0.663380 | − | 0.748282i | \(-0.269121\pi\) |
0.301674 | + | 0.953411i | \(0.402455\pi\) | |||||||
\(998\) | 60.2263 | + | 66.8881i | 1.90643 | + | 2.11731i | ||||
\(999\) | −0.726736 | + | 6.91443i | −0.0229929 | + | 0.218763i |
(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 | 231.2.y.b.4.1 | ✓ | 64 | |
3.2 | odd | 2 | 693.2.by.c.235.8 | 64 | |||
7.2 | even | 3 | inner | 231.2.y.b.37.8 | yes | 64 | |
11.3 | even | 5 | inner | 231.2.y.b.25.8 | yes | 64 | |
21.2 | odd | 6 | 693.2.by.c.37.1 | 64 | |||
33.14 | odd | 10 | 693.2.by.c.487.1 | 64 | |||
77.58 | even | 15 | inner | 231.2.y.b.58.1 | yes | 64 | |
231.212 | odd | 30 | 693.2.by.c.289.8 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.y.b.4.1 | ✓ | 64 | 1.1 | even | 1 | trivial | |
231.2.y.b.25.8 | yes | 64 | 11.3 | even | 5 | inner | |
231.2.y.b.37.8 | yes | 64 | 7.2 | even | 3 | inner | |
231.2.y.b.58.1 | yes | 64 | 77.58 | even | 15 | inner | |
693.2.by.c.37.1 | 64 | 21.2 | odd | 6 | |||
693.2.by.c.235.8 | 64 | 3.2 | odd | 2 | |||
693.2.by.c.289.8 | 64 | 231.212 | odd | 30 | |||
693.2.by.c.487.1 | 64 | 33.14 | odd | 10 |