Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [450,2,Mod(79,450)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(450, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("450.79");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 450 = 2 \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 450.v (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.59326809096\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 319.7 | ||
Character | \(\chi\) | \(=\) | 450.319 |
Dual form | 450.2.v.a.79.7 |
$q$-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 \(\left(\mathbb{Z}/450\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{9}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.743145 | − | 0.669131i | −0.525483 | − | 0.473147i | ||||
\(3\) | −0.417886 | + | 1.68088i | −0.241267 | + | 0.970459i | ||||
\(4\) | 0.104528 | + | 0.994522i | 0.0522642 | + | 0.497261i | ||||
\(5\) | 0.153377 | − | 2.23080i | 0.0685921 | − | 0.997645i | ||||
\(6\) | 1.43528 | − | 0.969520i | 0.585951 | − | 0.395805i | ||||
\(7\) | −1.71704 | + | 0.991331i | −0.648978 | + | 0.374688i | −0.788065 | − | 0.615592i | \(-0.788917\pi\) |
0.139086 | + | 0.990280i | \(0.455583\pi\) | |||||||
\(8\) | 0.587785 | − | 0.809017i | 0.207813 | − | 0.286031i | ||||
\(9\) | −2.65074 | − | 1.40484i | −0.883581 | − | 0.468279i | ||||
\(10\) | −1.60668 | + | 1.55518i | −0.508076 | + | 0.491791i | ||||
\(11\) | 0.327913 | − | 0.364184i | 0.0988693 | − | 0.109806i | −0.691679 | − | 0.722205i | \(-0.743129\pi\) |
0.790549 | + | 0.612399i | \(0.209795\pi\) | |||||||
\(12\) | −1.71536 | − | 0.239897i | −0.495181 | − | 0.0692522i | ||||
\(13\) | −2.77362 | + | 2.49738i | −0.769264 | + | 0.692649i | −0.957166 | − | 0.289539i | \(-0.906498\pi\) |
0.187902 | + | 0.982188i | \(0.439831\pi\) | |||||||
\(14\) | 1.93934 | + | 0.412219i | 0.518309 | + | 0.110170i | ||||
\(15\) | 3.68562 | + | 1.19003i | 0.951624 | + | 0.307264i | ||||
\(16\) | −0.978148 | + | 0.207912i | −0.244537 | + | 0.0519779i | ||||
\(17\) | −0.627964 | + | 0.864319i | −0.152304 | + | 0.209628i | −0.878350 | − | 0.478017i | \(-0.841356\pi\) |
0.726047 | + | 0.687645i | \(0.241356\pi\) | |||||||
\(18\) | 1.02987 | + | 2.81769i | 0.242742 | + | 0.664136i | ||||
\(19\) | −5.09178 | − | 3.69939i | −1.16813 | − | 0.848699i | −0.177350 | − | 0.984148i | \(-0.556752\pi\) |
−0.990784 | + | 0.135449i | \(0.956752\pi\) | |||||||
\(20\) | 2.23461 | − | 0.0806459i | 0.499675 | − | 0.0180330i | ||||
\(21\) | −0.948787 | − | 3.30040i | −0.207042 | − | 0.720207i | ||||
\(22\) | −0.487373 | + | 0.0512250i | −0.103908 | + | 0.0109212i | ||||
\(23\) | −0.301164 | + | 1.41687i | −0.0627970 | + | 0.295437i | −0.998328 | − | 0.0578087i | \(-0.981589\pi\) |
0.935531 | + | 0.353246i | \(0.114922\pi\) | |||||||
\(24\) | 1.11424 | + | 1.32608i | 0.227443 | + | 0.270684i | ||||
\(25\) | −4.95295 | − | 0.684305i | −0.990590 | − | 0.136861i | ||||
\(26\) | 3.73228 | 0.731960 | ||||||||
\(27\) | 3.46908 | − | 3.86853i | 0.667624 | − | 0.744499i | ||||
\(28\) | −1.16538 | − | 1.60401i | −0.220236 | − | 0.303129i | ||||
\(29\) | −4.50121 | − | 2.00407i | −0.835855 | − | 0.372146i | −0.0562487 | − | 0.998417i | \(-0.517914\pi\) |
−0.779606 | + | 0.626270i | \(0.784581\pi\) | |||||||
\(30\) | −1.94267 | − | 3.35053i | −0.354681 | − | 0.611720i | ||||
\(31\) | 3.56152 | − | 1.58569i | 0.639668 | − | 0.284799i | −0.0611607 | − | 0.998128i | \(-0.519480\pi\) |
0.700829 | + | 0.713329i | \(0.252814\pi\) | |||||||
\(32\) | 0.866025 | + | 0.500000i | 0.153093 | + | 0.0883883i | ||||
\(33\) | 0.475121 | + | 0.703370i | 0.0827079 | + | 0.122441i | ||||
\(34\) | 1.04501 | − | 0.222124i | 0.179218 | − | 0.0380939i | ||||
\(35\) | 1.94811 | + | 3.98241i | 0.329291 | + | 0.673151i | ||||
\(36\) | 1.12006 | − | 2.78307i | 0.186677 | − | 0.463844i | ||||
\(37\) | −10.7296 | − | 3.48625i | −1.76393 | − | 0.573136i | −0.766336 | − | 0.642440i | \(-0.777922\pi\) |
−0.997596 | + | 0.0693035i | \(0.977922\pi\) | |||||||
\(38\) | 1.30855 | + | 6.15625i | 0.212275 | + | 0.998676i | ||||
\(39\) | −3.03875 | − | 5.70576i | −0.486589 | − | 0.913653i | ||||
\(40\) | −1.71460 | − | 1.43532i | −0.271103 | − | 0.226943i | ||||
\(41\) | −6.62412 | − | 7.35683i | −1.03451 | − | 1.14894i | −0.988687 | − | 0.149994i | \(-0.952075\pi\) |
−0.0458263 | − | 0.998949i | \(-0.514592\pi\) | |||||||
\(42\) | −1.50331 | + | 3.08754i | −0.231966 | + | 0.476418i | ||||
\(43\) | −0.694080 | + | 0.400727i | −0.105846 | + | 0.0611103i | −0.551989 | − | 0.833852i | \(-0.686131\pi\) |
0.446142 | + | 0.894962i | \(0.352797\pi\) | |||||||
\(44\) | 0.396465 | + | 0.288049i | 0.0597693 | + | 0.0434250i | ||||
\(45\) | −3.54047 | + | 5.69781i | −0.527783 | + | 0.849380i | ||||
\(46\) | 1.17188 | − | 0.851418i | 0.172784 | − | 0.125535i | ||||
\(47\) | −0.225207 | + | 0.505824i | −0.0328499 | + | 0.0737820i | −0.929225 | − | 0.369514i | \(-0.879524\pi\) |
0.896375 | + | 0.443296i | \(0.146191\pi\) | |||||||
\(48\) | 0.0592789 | − | 1.73104i | 0.00855617 | − | 0.249854i | ||||
\(49\) | −1.53453 | + | 2.65788i | −0.219218 | + | 0.379697i | ||||
\(50\) | 3.22287 | + | 3.82271i | 0.455783 | + | 0.540613i | ||||
\(51\) | −1.19040 | − | 1.41672i | −0.166690 | − | 0.198381i | ||||
\(52\) | −2.77362 | − | 2.49738i | −0.384632 | − | 0.346324i | ||||
\(53\) | 1.66750 | + | 2.29511i | 0.229048 | + | 0.315258i | 0.908036 | − | 0.418891i | \(-0.137581\pi\) |
−0.678988 | + | 0.734149i | \(0.737581\pi\) | |||||||
\(54\) | −5.16658 | + | 0.553613i | −0.703082 | + | 0.0753371i | ||||
\(55\) | −0.762128 | − | 0.787365i | −0.102765 | − | 0.106168i | ||||
\(56\) | −0.207245 | + | 1.97180i | −0.0276942 | + | 0.263493i | ||||
\(57\) | 8.34603 | − | 7.01276i | 1.10546 | − | 0.928863i | ||||
\(58\) | 2.00407 | + | 4.50121i | 0.263147 | + | 0.591038i | ||||
\(59\) | 5.77227 | + | 6.41075i | 0.751485 | + | 0.834609i | 0.990658 | − | 0.136368i | \(-0.0435430\pi\) |
−0.239173 | + | 0.970977i | \(0.576876\pi\) | |||||||
\(60\) | −0.798257 | + | 3.78983i | −0.103055 | + | 0.489265i | ||||
\(61\) | −0.0777798 | + | 0.0863832i | −0.00995868 | + | 0.0110602i | −0.748104 | − | 0.663582i | \(-0.769035\pi\) |
0.738145 | + | 0.674642i | \(0.235702\pi\) | |||||||
\(62\) | −3.70776 | − | 1.20472i | −0.470886 | − | 0.153000i | ||||
\(63\) | 5.94408 | − | 0.215609i | 0.748883 | − | 0.0271642i | ||||
\(64\) | −0.309017 | − | 0.951057i | −0.0386271 | − | 0.118882i | ||||
\(65\) | 5.14575 | + | 6.57044i | 0.638252 | + | 0.814963i | ||||
\(66\) | 0.117563 | − | 0.840624i | 0.0144710 | − | 0.103474i | ||||
\(67\) | 4.80956 | + | 10.8024i | 0.587581 | + | 1.31973i | 0.925569 | + | 0.378578i | \(0.123587\pi\) |
−0.337989 | + | 0.941150i | \(0.609747\pi\) | |||||||
\(68\) | −0.925224 | − | 0.534178i | −0.112200 | − | 0.0647786i | ||||
\(69\) | −2.25573 | − | 1.09831i | −0.271558 | − | 0.132221i | ||||
\(70\) | 1.21703 | − | 4.26305i | 0.145462 | − | 0.509532i | ||||
\(71\) | 6.65880 | − | 4.83790i | 0.790255 | − | 0.574154i | −0.117784 | − | 0.993039i | \(-0.537579\pi\) |
0.908039 | + | 0.418886i | \(0.137579\pi\) | |||||||
\(72\) | −2.69460 | + | 1.31875i | −0.317562 | + | 0.155417i | ||||
\(73\) | −5.73175 | + | 1.86236i | −0.670850 | + | 0.217972i | −0.624585 | − | 0.780957i | \(-0.714732\pi\) |
−0.0462652 | + | 0.998929i | \(0.514732\pi\) | |||||||
\(74\) | 5.64087 | + | 9.77028i | 0.655738 | + | 1.13577i | ||||
\(75\) | 3.22001 | − | 8.03938i | 0.371814 | − | 0.928307i | ||||
\(76\) | 3.14689 | − | 5.45058i | 0.360973 | − | 0.625224i | ||||
\(77\) | −0.202011 | + | 0.950386i | −0.0230213 | + | 0.108307i | ||||
\(78\) | −1.55967 | + | 6.27353i | −0.176597 | + | 0.710337i | ||||
\(79\) | 2.17830 | + | 0.969840i | 0.245077 | + | 0.109116i | 0.525600 | − | 0.850732i | \(-0.323841\pi\) |
−0.280522 | + | 0.959848i | \(0.590508\pi\) | |||||||
\(80\) | 0.313785 | + | 2.21394i | 0.0350822 | + | 0.247526i | ||||
\(81\) | 5.05287 | + | 7.44772i | 0.561430 | + | 0.827524i | ||||
\(82\) | 9.89959i | 1.09323i | ||||||||
\(83\) | 0.518726 | + | 0.0545203i | 0.0569375 | + | 0.00598438i | 0.132954 | − | 0.991122i | \(-0.457554\pi\) |
−0.0760169 | + | 0.997107i | \(0.524220\pi\) | |||||||
\(84\) | 3.18315 | − | 1.28858i | 0.347310 | − | 0.140595i | ||||
\(85\) | 1.83181 | + | 1.53343i | 0.198688 | + | 0.166324i | ||||
\(86\) | 0.783940 | + | 0.166632i | 0.0845345 | + | 0.0179684i | ||||
\(87\) | 5.24960 | − | 6.72855i | 0.562817 | − | 0.721376i | ||||
\(88\) | −0.101889 | − | 0.479349i | −0.0108614 | − | 0.0510987i | ||||
\(89\) | −2.68244 | − | 8.25571i | −0.284338 | − | 0.875104i | −0.986596 | − | 0.163181i | \(-0.947825\pi\) |
0.702258 | − | 0.711923i | \(-0.252175\pi\) | |||||||
\(90\) | 6.44366 | − | 1.86526i | 0.679222 | − | 0.196616i | ||||
\(91\) | 2.28668 | − | 7.03767i | 0.239709 | − | 0.737748i | ||||
\(92\) | −1.44058 | − | 0.151411i | −0.150191 | − | 0.0157857i | ||||
\(93\) | 1.17705 | + | 6.64915i | 0.122055 | + | 0.689484i | ||||
\(94\) | 0.505824 | − | 0.225207i | 0.0521717 | − | 0.0232284i | ||||
\(95\) | −9.03357 | + | 10.7913i | −0.926825 | + | 1.10717i | ||||
\(96\) | −1.20234 | + | 1.24675i | −0.122714 | + | 0.127245i | ||||
\(97\) | −6.77256 | + | 15.2114i | −0.687649 | + | 1.54448i | 0.144240 | + | 0.989543i | \(0.453926\pi\) |
−0.831889 | + | 0.554942i | \(0.812740\pi\) | |||||||
\(98\) | 2.91884 | − | 0.948389i | 0.294848 | − | 0.0958018i | ||||
\(99\) | −1.38083 | + | 0.504694i | −0.138779 | + | 0.0507236i | ||||
\(100\) | 0.162832 | − | 4.99735i | 0.0162832 | − | 0.499735i | ||||
\(101\) | 3.45395 | + | 5.98242i | 0.343681 | + | 0.595273i | 0.985113 | − | 0.171907i | \(-0.0549927\pi\) |
−0.641432 | + | 0.767180i | \(0.721659\pi\) | |||||||
\(102\) | −0.0633310 | + | 1.84936i | −0.00627070 | + | 0.183114i | ||||
\(103\) | 10.6559 | − | 1.11998i | 1.04996 | − | 0.110355i | 0.436199 | − | 0.899850i | \(-0.356324\pi\) |
0.613757 | + | 0.789495i | \(0.289658\pi\) | |||||||
\(104\) | 0.390129 | + | 3.71183i | 0.0382553 | + | 0.363975i | ||||
\(105\) | −7.50806 | + | 1.61035i | −0.732712 | + | 0.157154i | ||||
\(106\) | 0.296538 | − | 2.82137i | 0.0288024 | − | 0.274036i | ||||
\(107\) | − | 9.72536i | − | 0.940186i | −0.882617 | − | 0.470093i | \(-0.844220\pi\) | ||
0.882617 | − | 0.470093i | \(-0.155780\pi\) | |||||||
\(108\) | 4.20995 | + | 3.04570i | 0.405103 | + | 0.293073i | ||||
\(109\) | 5.31961 | − | 16.3721i | 0.509527 | − | 1.56816i | −0.283499 | − | 0.958973i | \(-0.591495\pi\) |
0.793025 | − | 0.609189i | \(-0.208505\pi\) | |||||||
\(110\) | 0.0395212 | + | 1.09509i | 0.00376819 | + | 0.104413i | ||||
\(111\) | 10.3437 | − | 16.5783i | 0.981783 | − | 1.57354i | ||||
\(112\) | 1.47340 | − | 1.32666i | 0.139224 | − | 0.125358i | ||||
\(113\) | 9.06841 | − | 8.16523i | 0.853084 | − | 0.768120i | −0.121394 | − | 0.992604i | \(-0.538736\pi\) |
0.974478 | + | 0.224484i | \(0.0720697\pi\) | |||||||
\(114\) | −10.8948 | − | 0.373088i | −1.02039 | − | 0.0349429i | ||||
\(115\) | 3.11455 | + | 0.889151i | 0.290434 | + | 0.0829138i | ||||
\(116\) | 1.52259 | − | 4.68604i | 0.141369 | − | 0.435088i | ||||
\(117\) | 10.8606 | − | 2.72343i | 1.00406 | − | 0.251781i | ||||
\(118\) | − | 8.62652i | − | 0.794135i | ||||||
\(119\) | 0.221411 | − | 2.10659i | 0.0202967 | − | 0.193110i | ||||
\(120\) | 3.12911 | − | 2.28225i | 0.285647 | − | 0.208340i | ||||
\(121\) | 1.12471 | + | 10.7009i | 0.102246 | + | 0.972809i | ||||
\(122\) | 0.115603 | − | 0.0121504i | 0.0104662 | − | 0.00110004i | ||||
\(123\) | 15.1341 | − | 8.06006i | 1.36460 | − | 0.726751i | ||||
\(124\) | 1.94929 | + | 3.37626i | 0.175051 | + | 0.303197i | ||||
\(125\) | −2.28622 | + | 10.9441i | −0.204485 | + | 0.978870i | ||||
\(126\) | −4.56158 | − | 3.81713i | −0.406378 | − | 0.340057i | ||||
\(127\) | −7.32123 | + | 2.37881i | −0.649654 | + | 0.211085i | −0.615262 | − | 0.788323i | \(-0.710950\pi\) |
−0.0343926 | + | 0.999408i | \(0.510950\pi\) | |||||||
\(128\) | −0.406737 | + | 0.913545i | −0.0359508 | + | 0.0807468i | ||||
\(129\) | −0.383529 | − | 1.33413i | −0.0337679 | − | 0.117463i | ||||
\(130\) | 0.572444 | − | 8.32597i | 0.0502066 | − | 0.730236i | ||||
\(131\) | −6.61841 | + | 2.94671i | −0.578253 | + | 0.257455i | −0.674956 | − | 0.737858i | \(-0.735837\pi\) |
0.0967022 | + | 0.995313i | \(0.469171\pi\) | |||||||
\(132\) | −0.649853 | + | 0.546040i | −0.0565625 | + | 0.0475267i | ||||
\(133\) | 12.4101 | + | 1.30435i | 1.07609 | + | 0.113102i | ||||
\(134\) | 3.65405 | − | 11.2460i | 0.315662 | − | 0.971506i | ||||
\(135\) | −8.09785 | − | 8.33216i | −0.696952 | − | 0.717118i | ||||
\(136\) | 0.330140 | + | 1.01607i | 0.0283093 | + | 0.0871271i | ||||
\(137\) | 0.0458833 | + | 0.215864i | 0.00392008 | + | 0.0184425i | 0.980064 | − | 0.198681i | \(-0.0636658\pi\) |
−0.976144 | + | 0.217124i | \(0.930332\pi\) | |||||||
\(138\) | 0.941424 | + | 2.32558i | 0.0801393 | + | 0.197967i | ||||
\(139\) | −14.8978 | − | 3.16662i | −1.26361 | − | 0.268589i | −0.473085 | − | 0.881017i | \(-0.656860\pi\) |
−0.790527 | + | 0.612428i | \(0.790193\pi\) | |||||||
\(140\) | −3.75696 | + | 2.35371i | −0.317521 | + | 0.198925i | ||||
\(141\) | −0.756120 | − | 0.589924i | −0.0636768 | − | 0.0496806i | ||||
\(142\) | −8.18564 | − | 0.860346i | −0.686924 | − | 0.0721986i | ||||
\(143\) | 1.82903i | 0.152951i | ||||||||
\(144\) | 2.88490 | + | 0.823017i | 0.240408 | + | 0.0685847i | ||||
\(145\) | −5.16106 | + | 9.73394i | −0.428603 | + | 0.808360i | ||||
\(146\) | 5.50568 | + | 2.45129i | 0.455653 | + | 0.202870i | ||||
\(147\) | −3.82633 | − | 3.69005i | −0.315590 | − | 0.304350i | ||||
\(148\) | 2.34561 | − | 11.0352i | 0.192808 | − | 0.907089i | ||||
\(149\) | 10.0932 | − | 17.4819i | 0.826864 | − | 1.43217i | −0.0736231 | − | 0.997286i | \(-0.523456\pi\) |
0.900487 | − | 0.434884i | \(-0.143210\pi\) | |||||||
\(150\) | −7.77232 | + | 3.81981i | −0.634608 | + | 0.311887i | ||||
\(151\) | 11.4587 | + | 19.8470i | 0.932493 | + | 1.61513i | 0.779044 | + | 0.626969i | \(0.215705\pi\) |
0.153449 | + | 0.988157i | \(0.450962\pi\) | |||||||
\(152\) | −5.98574 | + | 1.94489i | −0.485508 | + | 0.157751i | ||||
\(153\) | 2.87880 | − | 1.40890i | 0.232737 | − | 0.113903i | ||||
\(154\) | 0.786056 | − | 0.571103i | 0.0633422 | − | 0.0460208i | ||||
\(155\) | −2.99111 | − | 8.18826i | −0.240252 | − | 0.657697i | ||||
\(156\) | 5.35687 | − | 3.61852i | 0.428893 | − | 0.289713i | ||||
\(157\) | 4.80687 | + | 2.77525i | 0.383630 | + | 0.221489i | 0.679397 | − | 0.733771i | \(-0.262242\pi\) |
−0.295766 | + | 0.955260i | \(0.595575\pi\) | |||||||
\(158\) | −0.969840 | − | 2.17830i | −0.0771563 | − | 0.173296i | ||||
\(159\) | −4.55464 | + | 1.84377i | −0.361207 | + | 0.146221i | ||||
\(160\) | 1.24823 | − | 1.85524i | 0.0986811 | − | 0.146670i | ||||
\(161\) | −0.887473 | − | 2.73136i | −0.0699427 | − | 0.215261i | ||||
\(162\) | 1.22848 | − | 8.91576i | 0.0965187 | − | 0.700489i | ||||
\(163\) | −10.8096 | − | 3.51225i | −0.846672 | − | 0.275100i | −0.146620 | − | 0.989193i | \(-0.546840\pi\) |
−0.700051 | + | 0.714093i | \(0.746840\pi\) | |||||||
\(164\) | 6.62412 | − | 7.35683i | 0.517257 | − | 0.574472i | ||||
\(165\) | 1.64195 | − | 0.952019i | 0.127826 | − | 0.0741146i | ||||
\(166\) | −0.349007 | − | 0.387612i | −0.0270882 | − | 0.0300845i | ||||
\(167\) | 4.46506 | + | 10.0287i | 0.345517 | + | 0.776044i | 0.999804 | + | 0.0197975i | \(0.00630215\pi\) |
−0.654287 | + | 0.756246i | \(0.727031\pi\) | |||||||
\(168\) | −3.22776 | − | 1.17234i | −0.249027 | − | 0.0904482i | ||||
\(169\) | 0.0972002 | − | 0.924798i | 0.00747694 | − | 0.0711383i | ||||
\(170\) | −0.335234 | − | 2.36528i | −0.0257113 | − | 0.181409i | ||||
\(171\) | 8.29995 | + | 16.9593i | 0.634713 | + | 1.29691i | ||||
\(172\) | −0.471083 | − | 0.648390i | −0.0359197 | − | 0.0494393i | ||||
\(173\) | −8.13165 | − | 7.32177i | −0.618238 | − | 0.556664i | 0.299377 | − | 0.954135i | \(-0.403221\pi\) |
−0.917615 | + | 0.397471i | \(0.869888\pi\) | |||||||
\(174\) | −8.40349 | + | 1.48761i | −0.637067 | + | 0.112776i | ||||
\(175\) | 9.18277 | − | 3.73504i | 0.694152 | − | 0.282342i | ||||
\(176\) | −0.245029 | + | 0.424402i | −0.0184697 | + | 0.0319905i | ||||
\(177\) | −13.1879 | + | 7.02355i | −0.991262 | + | 0.527922i | ||||
\(178\) | −3.53071 | + | 7.93010i | −0.264638 | + | 0.594386i | ||||
\(179\) | −12.9846 | + | 9.43386i | −0.970514 | + | 0.705120i | −0.955569 | − | 0.294768i | \(-0.904758\pi\) |
−0.0149456 | + | 0.999888i | \(0.504758\pi\) | |||||||
\(180\) | −6.03668 | − | 2.92549i | −0.449947 | − | 0.218053i | ||||
\(181\) | 19.8738 | + | 14.4392i | 1.47721 | + | 1.07326i | 0.978442 | + | 0.206522i | \(0.0662146\pi\) |
0.498770 | + | 0.866735i | \(0.333785\pi\) | |||||||
\(182\) | −6.40845 | + | 3.69992i | −0.475026 | + | 0.274256i | ||||
\(183\) | −0.112697 | − | 0.166837i | −0.00833080 | − | 0.0123330i | ||||
\(184\) | 0.969248 | + | 1.07646i | 0.0714539 | + | 0.0793576i | ||||
\(185\) | −9.42280 | + | 23.4009i | −0.692778 | + | 1.72046i | ||||
\(186\) | 3.57443 | − | 5.72888i | 0.262090 | − | 0.420062i | ||||
\(187\) | 0.108853 | + | 0.512115i | 0.00796015 | + | 0.0374496i | ||||
\(188\) | −0.526593 | − | 0.171101i | −0.0384058 | − | 0.0124788i | ||||
\(189\) | −2.12153 | + | 10.0814i | −0.154319 | + | 0.733314i | ||||
\(190\) | 13.9341 | − | 1.97489i | 1.01088 | − | 0.143274i | ||||
\(191\) | −16.6236 | + | 3.53345i | −1.20284 | + | 0.255671i | −0.765387 | − | 0.643570i | \(-0.777452\pi\) |
−0.437452 | + | 0.899242i | \(0.644119\pi\) | |||||||
\(192\) | 1.72775 | − | 0.121988i | 0.124690 | − | 0.00880375i | ||||
\(193\) | −0.629118 | − | 0.363221i | −0.0452849 | − | 0.0261452i | 0.477187 | − | 0.878802i | \(-0.341657\pi\) |
−0.522472 | + | 0.852657i | \(0.674990\pi\) | |||||||
\(194\) | 15.2114 | − | 6.77256i | 1.09212 | − | 0.486241i | ||||
\(195\) | −13.1945 | + | 5.90372i | −0.944877 | + | 0.422774i | ||||
\(196\) | −2.80372 | − | 1.24830i | −0.200266 | − | 0.0891640i | ||||
\(197\) | 4.12989 | + | 5.68430i | 0.294242 | + | 0.404990i | 0.930386 | − | 0.366581i | \(-0.119472\pi\) |
−0.636144 | + | 0.771570i | \(0.719472\pi\) | |||||||
\(198\) | 1.36386 | + | 0.548895i | 0.0969255 | + | 0.0390083i | ||||
\(199\) | −9.58385 | −0.679381 | −0.339691 | − | 0.940537i | \(-0.610322\pi\) | ||||
−0.339691 | + | 0.940537i | \(0.610322\pi\) | |||||||
\(200\) | −3.46489 | + | 3.60480i | −0.245004 | + | 0.254898i | ||||
\(201\) | −20.1675 | + | 3.57012i | −1.42251 | + | 0.251817i | ||||
\(202\) | 1.43623 | − | 6.75695i | 0.101053 | − | 0.475418i | ||||
\(203\) | 9.71544 | − | 1.02113i | 0.681890 | − | 0.0716696i | ||||
\(204\) | 1.28453 | − | 1.33197i | 0.0899351 | − | 0.0932564i | ||||
\(205\) | −17.4276 | + | 13.6487i | −1.21720 | + | 0.953268i | ||||
\(206\) | −8.66828 | − | 6.29788i | −0.603948 | − | 0.438794i | ||||
\(207\) | 2.78877 | − | 3.33266i | 0.193833 | − | 0.231636i | ||||
\(208\) | 2.19378 | − | 3.01948i | 0.152111 | − | 0.209363i | ||||
\(209\) | −3.01692 | + | 0.641265i | −0.208684 | + | 0.0443573i | ||||
\(210\) | 6.65711 | + | 3.82715i | 0.459384 | + | 0.264098i | ||||
\(211\) | 7.69799 | + | 1.63626i | 0.529951 | + | 0.112645i | 0.465113 | − | 0.885251i | \(-0.346014\pi\) |
0.0648381 | + | 0.997896i | \(0.479347\pi\) | |||||||
\(212\) | −2.10824 | + | 1.89827i | −0.144794 | + | 0.130373i | ||||
\(213\) | 5.34933 | + | 13.2144i | 0.366530 | + | 0.905434i | ||||
\(214\) | −6.50754 | + | 7.22735i | −0.444846 | + | 0.494052i | ||||
\(215\) | 0.787487 | + | 1.60982i | 0.0537062 | + | 0.109789i | ||||
\(216\) | −1.09063 | − | 5.08041i | −0.0742083 | − | 0.345678i | ||||
\(217\) | −4.54332 | + | 6.25334i | −0.308420 | + | 0.424504i | ||||
\(218\) | −14.9083 | + | 8.60731i | −1.00972 | + | 0.582961i | ||||
\(219\) | −0.735189 | − | 10.4127i | −0.0496795 | − | 0.703622i | ||||
\(220\) | 0.703388 | − | 0.840255i | 0.0474224 | − | 0.0566500i | ||||
\(221\) | −0.416797 | − | 3.96556i | −0.0280368 | − | 0.266752i | ||||
\(222\) | −18.7799 | + | 5.39879i | −1.26043 | + | 0.362343i | ||||
\(223\) | −7.69427 | − | 6.92795i | −0.515246 | − | 0.463930i | 0.370014 | − | 0.929026i | \(-0.379353\pi\) |
−0.885260 | + | 0.465096i | \(0.846020\pi\) | |||||||
\(224\) | −1.98266 | −0.132472 | ||||||||
\(225\) | 12.1677 | + | 8.77200i | 0.811177 | + | 0.584800i | ||||
\(226\) | −12.2027 | −0.811715 | ||||||||
\(227\) | −12.8164 | − | 11.5400i | −0.850657 | − | 0.765935i | 0.123371 | − | 0.992361i | \(-0.460629\pi\) |
−0.974029 | + | 0.226425i | \(0.927296\pi\) | |||||||
\(228\) | 7.84674 | + | 7.56728i | 0.519663 | + | 0.501155i | ||||
\(229\) | −3.13099 | − | 29.7894i | −0.206902 | − | 1.96854i | −0.245892 | − | 0.969297i | \(-0.579081\pi\) |
0.0389909 | − | 0.999240i | \(-0.487586\pi\) | |||||||
\(230\) | −1.71961 | − | 2.74481i | −0.113387 | − | 0.180987i | ||||
\(231\) | −1.51307 | − | 0.736710i | −0.0995528 | − | 0.0484720i | ||||
\(232\) | −4.26707 | + | 2.46360i | −0.280147 | + | 0.161743i | ||||
\(233\) | 5.35435 | − | 7.36963i | 0.350775 | − | 0.482800i | −0.596775 | − | 0.802409i | \(-0.703551\pi\) |
0.947550 | + | 0.319608i | \(0.103551\pi\) | |||||||
\(234\) | −9.89331 | − | 5.24324i | −0.646746 | − | 0.342761i | ||||
\(235\) | 1.09385 | + | 0.579974i | 0.0713550 | + | 0.0378333i | ||||
\(236\) | −5.77227 | + | 6.41075i | −0.375743 | + | 0.417304i | ||||
\(237\) | −2.54047 | + | 3.25618i | −0.165021 | + | 0.211512i | ||||
\(238\) | −1.57412 | + | 1.41735i | −0.102035 | + | 0.0918729i | ||||
\(239\) | 23.4137 | + | 4.97674i | 1.51451 | + | 0.321919i | 0.888857 | − | 0.458184i | \(-0.151500\pi\) |
0.625651 | + | 0.780103i | \(0.284833\pi\) | |||||||
\(240\) | −3.85251 | − | 0.397740i | −0.248678 | − | 0.0256740i | ||||
\(241\) | −9.31126 | + | 1.97917i | −0.599791 | + | 0.127490i | −0.497794 | − | 0.867295i | \(-0.665857\pi\) |
−0.101997 | + | 0.994785i | \(0.532523\pi\) | |||||||
\(242\) | 6.32448 | − | 8.70490i | 0.406553 | − | 0.559572i | ||||
\(243\) | −14.6303 | + | 5.38099i | −0.938533 | + | 0.345191i | ||||
\(244\) | −0.0940401 | − | 0.0683242i | −0.00602030 | − | 0.00437401i | ||||
\(245\) | 5.69384 | + | 3.83088i | 0.363766 | + | 0.244746i | ||||
\(246\) | −16.6401 | − | 4.13690i | −1.06093 | − | 0.263759i | ||||
\(247\) | 23.3615 | − | 2.45539i | 1.48645 | − | 0.156233i | ||||
\(248\) | 0.810559 | − | 3.81338i | 0.0514705 | − | 0.242150i | ||||
\(249\) | −0.308410 | + | 0.849134i | −0.0195447 | + | 0.0538117i | ||||
\(250\) | 9.02202 | − | 6.60327i | 0.570603 | − | 0.417628i | ||||
\(251\) | −29.1751 | −1.84152 | −0.920759 | − | 0.390132i | \(-0.872429\pi\) | ||||
−0.920759 | + | 0.390132i | \(0.872429\pi\) | |||||||
\(252\) | 0.835753 | + | 5.88898i | 0.0526475 | + | 0.370971i | ||||
\(253\) | 0.417244 | + | 0.574287i | 0.0262319 | + | 0.0361051i | ||||
\(254\) | 7.03247 | + | 3.13106i | 0.441257 | + | 0.196460i | ||||
\(255\) | −3.34301 | + | 2.43826i | −0.209347 | + | 0.152690i | ||||
\(256\) | 0.913545 | − | 0.406737i | 0.0570966 | − | 0.0254210i | ||||
\(257\) | −17.9028 | − | 10.3362i | −1.11674 | − | 0.644752i | −0.176176 | − | 0.984359i | \(-0.556373\pi\) |
−0.940568 | + | 0.339606i | \(0.889706\pi\) | |||||||
\(258\) | −0.607686 | + | 1.24808i | −0.0378329 | + | 0.0777020i | ||||
\(259\) | 21.8791 | − | 4.65055i | 1.35950 | − | 0.288971i | ||||
\(260\) | −5.99657 | + | 5.80436i | −0.371891 | + | 0.359971i | ||||
\(261\) | 9.11617 | + | 11.6357i | 0.564277 | + | 0.720234i | ||||
\(262\) | 6.89017 | + | 2.23875i | 0.425676 | + | 0.138311i | ||||
\(263\) | −5.55152 | − | 26.1179i | −0.342321 | − | 1.61050i | −0.726452 | − | 0.687217i | \(-0.758832\pi\) |
0.384131 | − | 0.923279i | \(-0.374501\pi\) | |||||||
\(264\) | 0.848307 | + | 0.0290501i | 0.0522097 | + | 0.00178791i | ||||
\(265\) | 5.37569 | − | 3.36784i | 0.330226 | − | 0.206885i | ||||
\(266\) | −8.34971 | − | 9.27329i | −0.511954 | − | 0.568582i | ||||
\(267\) | 14.9979 | − | 1.05893i | 0.917854 | − | 0.0648054i | ||||
\(268\) | −10.2405 | + | 5.91237i | −0.625540 | + | 0.361156i | ||||
\(269\) | −1.42571 | − | 1.03584i | −0.0869271 | − | 0.0631562i | 0.543473 | − | 0.839427i | \(-0.317109\pi\) |
−0.630400 | + | 0.776271i | \(0.717109\pi\) | |||||||
\(270\) | 0.442568 | + | 11.6105i | 0.0269339 | + | 0.706594i | ||||
\(271\) | 25.4004 | − | 18.4545i | 1.54296 | − | 1.12103i | 0.594522 | − | 0.804080i | \(-0.297341\pi\) |
0.948442 | − | 0.316950i | \(-0.102659\pi\) | |||||||
\(272\) | 0.434540 | − | 0.975992i | 0.0263478 | − | 0.0591782i | ||||
\(273\) | 10.8739 | + | 6.78458i | 0.658121 | + | 0.410622i | ||||
\(274\) | 0.110343 | − | 0.191120i | 0.00666608 | − | 0.0115460i | ||||
\(275\) | −1.87335 | + | 1.57939i | −0.112967 | + | 0.0952409i | ||||
\(276\) | 0.856505 | − | 2.35818i | 0.0515555 | − | 0.141946i | ||||
\(277\) | −14.6529 | − | 13.1936i | −0.880410 | − | 0.792725i | 0.0988987 | − | 0.995098i | \(-0.468468\pi\) |
−0.979309 | + | 0.202373i | \(0.935135\pi\) | |||||||
\(278\) | 8.95232 | + | 12.3218i | 0.536924 | + | 0.739013i | ||||
\(279\) | −11.6683 | − | 0.800095i | −0.698564 | − | 0.0479004i | ||||
\(280\) | 4.36691 | + | 0.764750i | 0.260973 | + | 0.0457025i | ||||
\(281\) | 0.334326 | − | 3.18090i | 0.0199442 | − | 0.189757i | −0.980014 | − | 0.198930i | \(-0.936253\pi\) |
0.999958 | + | 0.00917345i | \(0.00292004\pi\) | |||||||
\(282\) | 0.167171 | + | 0.944342i | 0.00995486 | + | 0.0562348i | ||||
\(283\) | 7.21957 | + | 16.2154i | 0.429159 | + | 0.963907i | 0.990650 | + | 0.136425i | \(0.0435611\pi\) |
−0.561491 | + | 0.827483i | \(0.689772\pi\) | |||||||
\(284\) | 5.50744 | + | 6.11663i | 0.326806 | + | 0.362955i | ||||
\(285\) | −14.3640 | − | 19.6939i | −0.850850 | − | 1.16657i | ||||
\(286\) | 1.22386 | − | 1.35923i | 0.0723684 | − | 0.0803732i | ||||
\(287\) | 18.6669 | + | 6.06524i | 1.10187 | + | 0.358020i | ||||
\(288\) | −1.59319 | − | 2.54200i | −0.0938797 | − | 0.149788i | ||||
\(289\) | 4.90058 | + | 15.0824i | 0.288269 | + | 0.887202i | ||||
\(290\) | 10.3487 | − | 3.78030i | 0.607696 | − | 0.221987i | ||||
\(291\) | −22.7385 | − | 17.7405i | −1.33295 | − | 1.03997i | ||||
\(292\) | −2.45129 | − | 5.50568i | −0.143451 | − | 0.322196i | ||||
\(293\) | −25.4554 | − | 14.6967i | −1.48712 | − | 0.858590i | −0.487230 | − | 0.873274i | \(-0.661993\pi\) |
−0.999892 | + | 0.0146838i | \(0.995326\pi\) | |||||||
\(294\) | 0.374389 | + | 5.30255i | 0.0218348 | + | 0.309251i | ||||
\(295\) | 15.1864 | − | 11.8935i | 0.884189 | − | 0.692468i | ||||
\(296\) | −9.12712 | + | 6.63124i | −0.530503 | + | 0.385433i | ||||
\(297\) | −0.271302 | − | 2.53192i | −0.0157425 | − | 0.146917i | ||||
\(298\) | −19.1983 | + | 6.23791i | −1.11213 | + | 0.361353i | ||||
\(299\) | −2.70314 | − | 4.68197i | −0.156326 | − | 0.270765i | ||||
\(300\) | 8.33192 | + | 2.36202i | 0.481043 | + | 0.136372i | ||||
\(301\) | 0.794506 | − | 1.37613i | 0.0457946 | − | 0.0793185i | ||||
\(302\) | 4.76478 | − | 22.4165i | 0.274182 | − | 1.28993i | ||||
\(303\) | −11.4991 | + | 3.30572i | −0.660607 | + | 0.189909i | ||||
\(304\) | 5.74966 | + | 2.55991i | 0.329765 | + | 0.146821i | ||||
\(305\) | 0.180774 | + | 0.186760i | 0.0103511 | + | 0.0106939i | ||||
\(306\) | −3.08210 | − | 0.879276i | −0.176192 | − | 0.0502648i | ||||
\(307\) | − | 11.4025i | − | 0.650775i | −0.945581 | − | 0.325387i | \(-0.894505\pi\) | ||
0.945581 | − | 0.325387i | \(-0.105495\pi\) | |||||||
\(308\) | −0.966296 | − | 0.101562i | −0.0550598 | − | 0.00578702i | ||||
\(309\) | −2.57039 | + | 18.3793i | −0.146225 | + | 1.04556i | ||||
\(310\) | −3.25619 | + | 8.08650i | −0.184939 | + | 0.459283i | ||||
\(311\) | 0.864676 | + | 0.183793i | 0.0490313 | + | 0.0104219i | 0.232362 | − | 0.972629i | \(-0.425355\pi\) |
−0.183331 | + | 0.983051i | \(0.558688\pi\) | |||||||
\(312\) | −6.40219 | − | 0.895361i | −0.362453 | − | 0.0506898i | ||||
\(313\) | −3.07726 | − | 14.4774i | −0.173937 | − | 0.818310i | −0.975431 | − | 0.220307i | \(-0.929294\pi\) |
0.801494 | − | 0.598003i | \(-0.204039\pi\) | |||||||
\(314\) | −1.71520 | − | 5.27884i | −0.0967943 | − | 0.297902i | ||||
\(315\) | 0.430701 | − | 13.2931i | 0.0242672 | − | 0.748983i | ||||
\(316\) | −0.736833 | + | 2.26774i | −0.0414501 | + | 0.127570i | ||||
\(317\) | −6.19651 | − | 0.651279i | −0.348031 | − | 0.0365795i | −0.0710993 | − | 0.997469i | \(-0.522651\pi\) |
−0.276931 | + | 0.960890i | \(0.589317\pi\) | |||||||
\(318\) | 4.61848 | + | 1.67746i | 0.258992 | + | 0.0940673i | ||||
\(319\) | −2.20585 | + | 0.982110i | −0.123504 | + | 0.0549876i | ||||
\(320\) | −2.16901 | + | 0.543486i | −0.121252 | + | 0.0303818i | ||||
\(321\) | 16.3472 | + | 4.06410i | 0.912412 | + | 0.226836i | ||||
\(322\) | −1.16812 | + | 2.62363i | −0.0650966 | + | 0.146209i | ||||
\(323\) | 6.39491 | − | 2.07783i | 0.355822 | − | 0.115614i | ||||
\(324\) | −6.87875 | + | 5.80369i | −0.382153 | + | 0.322427i | ||||
\(325\) | 15.4466 | − | 10.4714i | 0.856823 | − | 0.580849i | ||||
\(326\) | 5.68293 | + | 9.84313i | 0.314749 | + | 0.545160i | ||||
\(327\) | 25.2966 | + | 15.7833i | 1.39890 | + | 0.872820i | ||||
\(328\) | −9.84536 | + | 1.03479i | −0.543619 | + | 0.0571366i | ||||
\(329\) | −0.114750 | − | 1.09177i | −0.00632637 | − | 0.0601914i | ||||
\(330\) | −1.85723 | − | 0.391192i | −0.102237 | − | 0.0215344i | ||||
\(331\) | −0.847868 | + | 8.06692i | −0.0466030 | + | 0.443398i | 0.946195 | + | 0.323597i | \(0.104892\pi\) |
−0.992798 | + | 0.119801i | \(0.961774\pi\) | |||||||
\(332\) | 0.521583i | 0.0286256i | ||||||||
\(333\) | 23.5437 | + | 24.3145i | 1.29019 | + | 1.33242i | ||||
\(334\) | 3.39232 | − | 10.4405i | 0.185619 | − | 0.571278i | ||||
\(335\) | 24.8358 | − | 9.07232i | 1.35692 | − | 0.495674i | ||||
\(336\) | 1.61425 | + | 3.03102i | 0.0880643 | + | 0.165355i | ||||
\(337\) | −22.3890 | + | 20.1592i | −1.21961 | + | 1.09814i | −0.227369 | + | 0.973809i | \(0.573012\pi\) |
−0.992241 | + | 0.124332i | \(0.960321\pi\) | |||||||
\(338\) | −0.691045 | + | 0.622220i | −0.0375879 | + | 0.0338443i | ||||
\(339\) | 9.93524 | + | 18.6551i | 0.539608 | + | 1.01320i | ||||
\(340\) | −1.33355 | + | 1.98206i | −0.0723221 | + | 0.107492i | ||||
\(341\) | 0.590385 | − | 1.81702i | 0.0319711 | − | 0.0983970i | ||||
\(342\) | 5.17989 | − | 18.1569i | 0.280096 | − | 0.981814i | ||||
\(343\) | − | 19.9635i | − | 1.07793i | ||||||
\(344\) | −0.0837748 | + | 0.797064i | −0.00451683 | + | 0.0429748i | ||||
\(345\) | −2.79609 | + | 4.86364i | −0.150536 | + | 0.261850i | ||||
\(346\) | 1.14377 | + | 10.8823i | 0.0614896 | + | 0.585034i | ||||
\(347\) | −11.0845 | + | 1.16503i | −0.595046 | + | 0.0625419i | −0.397264 | − | 0.917704i | \(-0.630040\pi\) |
−0.197782 | + | 0.980246i | \(0.563374\pi\) | |||||||
\(348\) | 7.24042 | + | 4.51752i | 0.388127 | + | 0.242165i | ||||
\(349\) | 1.74121 | + | 3.01586i | 0.0932046 | + | 0.161435i | 0.908858 | − | 0.417106i | \(-0.136956\pi\) |
−0.815653 | + | 0.578541i | \(0.803622\pi\) | |||||||
\(350\) | −9.32335 | − | 3.36880i | −0.498354 | − | 0.180070i | ||||
\(351\) | 0.0392846 | + | 19.3934i | 0.00209686 | + | 1.03515i | ||||
\(352\) | 0.466072 | − | 0.151436i | 0.0248417 | − | 0.00807157i | ||||
\(353\) | 14.3807 | − | 32.2995i | 0.765406 | − | 1.71913i | 0.0733262 | − | 0.997308i | \(-0.476639\pi\) |
0.692079 | − | 0.721821i | \(-0.256695\pi\) | |||||||
\(354\) | 14.5002 | + | 3.60490i | 0.770676 | + | 0.191598i | ||||
\(355\) | −9.77110 | − | 15.5965i | −0.518596 | − | 0.827776i | ||||
\(356\) | 7.93010 | − | 3.53071i | 0.420294 | − | 0.187127i | ||||
\(357\) | 3.44840 | + | 1.25248i | 0.182509 | + | 0.0662883i | ||||
\(358\) | 15.9619 | + | 1.67767i | 0.843614 | + | 0.0886674i | ||||
\(359\) | −8.30173 | + | 25.5501i | −0.438149 | + | 1.34848i | 0.451676 | + | 0.892182i | \(0.350826\pi\) |
−0.889825 | + | 0.456302i | \(0.849174\pi\) | |||||||
\(360\) | 2.52859 | + | 6.21339i | 0.133268 | + | 0.327475i | ||||
\(361\) | 6.36937 | + | 19.6029i | 0.335230 | + | 1.03173i | ||||
\(362\) | −5.10744 | − | 24.0286i | −0.268441 | − | 1.26292i | ||||
\(363\) | −18.4570 | − | 2.58125i | −0.968740 | − | 0.135481i | ||||
\(364\) | 7.23814 | + | 1.53851i | 0.379382 | + | 0.0806400i | ||||
\(365\) | 3.27543 | + | 13.0720i | 0.171444 | + | 0.684222i | ||||
\(366\) | −0.0278856 | + | 0.199393i | −0.00145760 | + | 0.0104224i | ||||
\(367\) | 4.26457 | + | 0.448224i | 0.222609 | + | 0.0233971i | 0.215176 | − | 0.976575i | \(-0.430967\pi\) |
0.00743257 | + | 0.999972i | \(0.497634\pi\) | |||||||
\(368\) | − | 1.44852i | − | 0.0755093i | ||||||
\(369\) | 7.22369 | + | 28.8069i | 0.376050 | + | 1.49962i | ||||
\(370\) | 22.6607 | − | 11.0851i | 1.17808 | − | 0.576289i | ||||
\(371\) | −5.13837 | − | 2.28775i | −0.266771 | − | 0.118774i | ||||
\(372\) | −6.48968 | + | 1.86563i | −0.336474 | + | 0.0967284i | ||||
\(373\) | 4.23181 | − | 19.9091i | 0.219115 | − | 1.03085i | −0.721771 | − | 0.692132i | \(-0.756672\pi\) |
0.940886 | − | 0.338723i | \(-0.109995\pi\) | |||||||
\(374\) | 0.261778 | − | 0.453413i | 0.0135362 | − | 0.0234454i | ||||
\(375\) | −17.4404 | − | 8.41625i | −0.900617 | − | 0.434613i | ||||
\(376\) | 0.276847 | + | 0.479512i | 0.0142773 | + | 0.0247290i | ||||
\(377\) | 17.4896 | − | 5.68271i | 0.900760 | − | 0.292675i | ||||
\(378\) | 8.32238 | − | 6.07236i | 0.428057 | − | 0.312328i | ||||
\(379\) | 1.98300 | − | 1.44073i | 0.101860 | − | 0.0740055i | −0.535689 | − | 0.844415i | \(-0.679948\pi\) |
0.637549 | + | 0.770410i | \(0.279948\pi\) | |||||||
\(380\) | −11.6765 | − | 7.85608i | −0.598992 | − | 0.403009i | ||||
\(381\) | −0.939067 | − | 13.3002i | −0.0481098 | − | 0.681391i | ||||
\(382\) | 14.7181 | + | 8.49747i | 0.753041 | + | 0.434769i | ||||
\(383\) | −4.81384 | − | 10.8121i | −0.245976 | − | 0.552471i | 0.747793 | − | 0.663932i | \(-0.231114\pi\) |
−0.993769 | + | 0.111461i | \(0.964447\pi\) | |||||||
\(384\) | −1.36559 | − | 1.06544i | −0.0696877 | − | 0.0543703i | ||||
\(385\) | 2.08914 | + | 0.596413i | 0.106472 | + | 0.0303960i | ||||
\(386\) | 0.224483 | + | 0.690888i | 0.0114259 | + | 0.0351653i | ||||
\(387\) | 2.40278 | − | 0.0871559i | 0.122140 | − | 0.00443038i | ||||
\(388\) | −15.8360 | − | 5.14543i | −0.803951 | − | 0.261220i | ||||
\(389\) | 5.74617 | − | 6.38177i | 0.291342 | − | 0.323568i | −0.579650 | − | 0.814866i | \(-0.696811\pi\) |
0.870992 | + | 0.491297i | \(0.163477\pi\) | |||||||
\(390\) | 13.7558 | + | 4.44152i | 0.696551 | + | 0.224905i | ||||
\(391\) | −1.03550 | − | 1.15004i | −0.0523676 | − | 0.0581601i | ||||
\(392\) | 1.24830 | + | 2.80372i | 0.0630485 | + | 0.141609i | ||||
\(393\) | −2.18733 | − | 12.3562i | −0.110336 | − | 0.623286i | ||||
\(394\) | 0.734436 | − | 6.98769i | 0.0370004 | − | 0.352035i | ||||
\(395\) | 2.49762 | − | 4.71060i | 0.125669 | − | 0.237016i | ||||
\(396\) | −0.646265 | − | 1.32051i | −0.0324760 | − | 0.0663582i | ||||
\(397\) | −9.95103 | − | 13.6964i | −0.499428 | − | 0.687403i | 0.482664 | − | 0.875805i | \(-0.339669\pi\) |
−0.982092 | + | 0.188402i | \(0.939669\pi\) | |||||||
\(398\) | 7.12219 | + | 6.41285i | 0.357003 | + | 0.321447i | ||||
\(399\) | −7.37847 | + | 20.3148i | −0.369385 | + | 1.01701i | ||||
\(400\) | 4.98699 | − | 0.360425i | 0.249350 | − | 0.0180212i | ||||
\(401\) | −4.82555 | + | 8.35811i | −0.240977 | + | 0.417384i | −0.960993 | − | 0.276574i | \(-0.910801\pi\) |
0.720016 | + | 0.693957i | \(0.244134\pi\) | |||||||
\(402\) | 17.3762 | + | 10.8416i | 0.866648 | + | 0.540729i | ||||
\(403\) | −5.91824 | + | 13.2926i | −0.294809 | + | 0.662151i | ||||
\(404\) | −5.58861 | + | 4.06037i | −0.278044 | + | 0.202011i | ||||
\(405\) | 17.3894 | − | 10.1296i | 0.864085 | − | 0.503346i | ||||
\(406\) | −7.90325 | − | 5.74205i | −0.392232 | − | 0.284973i | ||||
\(407\) | −4.78800 | + | 2.76435i | −0.237332 | + | 0.137024i | ||||
\(408\) | −1.84585 | + | 0.130327i | −0.0913833 | + | 0.00645215i | ||||
\(409\) | 0.876020 | + | 0.972919i | 0.0433164 | + | 0.0481077i | 0.764414 | − | 0.644726i | \(-0.223029\pi\) |
−0.721097 | + | 0.692834i | \(0.756362\pi\) | |||||||
\(410\) | 22.0840 | + | 1.51836i | 1.09065 | + | 0.0749867i | ||||
\(411\) | −0.382017 | − | 0.0130821i | −0.0188435 | − | 0.000645290i | ||||
\(412\) | 2.22769 | + | 10.4804i | 0.109750 | + | 0.516335i | ||||
\(413\) | −16.2664 | − | 5.28526i | −0.800416 | − | 0.260071i | ||||
\(414\) | −4.30244 | + | 0.610595i | −0.211454 | + | 0.0300091i | ||||
\(415\) | 0.201184 | − | 1.14881i | 0.00987574 | − | 0.0563930i | ||||
\(416\) | −3.65072 | + | 0.775984i | −0.178991 | + | 0.0380457i | ||||
\(417\) | 11.5483 | − | 23.7181i | 0.565522 | − | 1.16148i | ||||
\(418\) | 2.67110 | + | 1.54216i | 0.130648 | + | 0.0754294i | ||||
\(419\) | −7.43456 | + | 3.31008i | −0.363202 | + | 0.161708i | −0.580220 | − | 0.814460i | \(-0.697034\pi\) |
0.217018 | + | 0.976168i | \(0.430367\pi\) | |||||||
\(420\) | −2.38634 | − | 7.29860i | −0.116441 | − | 0.356135i | ||||
\(421\) | −15.9829 | − | 7.11606i | −0.778960 | − | 0.346815i | −0.0215609 | − | 0.999768i | \(-0.506864\pi\) |
−0.757399 | + | 0.652952i | \(0.773530\pi\) | |||||||
\(422\) | −4.62585 | − | 6.36694i | −0.225183 | − | 0.309938i | ||||
\(423\) | 1.30757 | − | 1.02443i | 0.0635760 | − | 0.0498094i | ||||
\(424\) | 2.83691 | 0.137773 | ||||||||
\(425\) | 3.70173 | − | 3.85121i | 0.179560 | − | 0.186811i | ||||
\(426\) | 4.86681 | − | 13.3996i | 0.235798 | − | 0.649212i | ||||
\(427\) | 0.0479163 | − | 0.225428i | 0.00231883 | − | 0.0109092i | ||||
\(428\) | 9.67209 | − | 1.01658i | 0.467518 | − | 0.0491381i | ||||
\(429\) | −3.07439 | − | 0.764327i | −0.148433 | − | 0.0369020i | ||||
\(430\) | 0.491960 | − | 1.72326i | 0.0237244 | − | 0.0831029i | ||||
\(431\) | 10.3807 | + | 7.54203i | 0.500021 | + | 0.363287i | 0.809025 | − | 0.587774i | \(-0.199996\pi\) |
−0.309004 | + | 0.951061i | \(0.599996\pi\) | |||||||
\(432\) | −2.58896 | + | 4.50525i | −0.124561 | + | 0.216759i | ||||
\(433\) | −12.3680 | + | 17.0231i | −0.594370 | + | 0.818080i | −0.995178 | − | 0.0980819i | \(-0.968729\pi\) |
0.400808 | + | 0.916162i | \(0.368729\pi\) | |||||||
\(434\) | 7.56064 | − | 1.60706i | 0.362922 | − | 0.0771415i | ||||
\(435\) | −14.2049 | − | 12.7428i | −0.681072 | − | 0.610972i | ||||
\(436\) | 16.8384 | + | 3.57912i | 0.806415 | + | 0.171409i | ||||
\(437\) | 6.77500 | − | 6.10024i | 0.324092 | − | 0.291814i | ||||
\(438\) | −6.42108 | + | 8.23005i | −0.306811 | + | 0.393247i | ||||
\(439\) | −16.7173 | + | 18.5665i | −0.797875 | + | 0.886130i | −0.995559 | − | 0.0941361i | \(-0.969991\pi\) |
0.197685 | + | 0.980266i | \(0.436658\pi\) | |||||||
\(440\) | −1.08496 | + | 0.153773i | −0.0517234 | + | 0.00733082i | ||||
\(441\) | 7.80151 | − | 4.88959i | 0.371501 | − | 0.232838i | ||||
\(442\) | −2.34374 | + | 3.22588i | −0.111480 | + | 0.153439i | ||||
\(443\) | 26.1369 | − | 15.0901i | 1.24180 | − | 0.716953i | 0.272339 | − | 0.962201i | \(-0.412203\pi\) |
0.969460 | + | 0.245248i | \(0.0788694\pi\) | |||||||
\(444\) | 17.5687 | + | 8.55416i | 0.833774 | + | 0.405962i | ||||
\(445\) | −18.8283 | + | 4.71777i | −0.892546 | + | 0.223644i | ||||
\(446\) | 1.08225 | + | 10.2969i | 0.0512461 | + | 0.487574i | ||||
\(447\) | 25.1672 | + | 24.2709i | 1.19037 | + | 1.14797i | ||||
\(448\) | 1.47340 | + | 1.32666i | 0.0696118 | + | 0.0626788i | ||||
\(449\) | 32.5215 | 1.53479 | 0.767393 | − | 0.641177i | \(-0.221554\pi\) | ||||
0.767393 | + | 0.641177i | \(0.221554\pi\) | |||||||
\(450\) | −3.17272 | − | 14.6606i | −0.149563 | − | 0.691108i | ||||
\(451\) | −4.85137 | −0.228442 | ||||||||
\(452\) | 9.06841 | + | 8.16523i | 0.426542 | + | 0.384060i | ||||
\(453\) | −38.1489 | + | 10.9669i | −1.79239 | + | 0.515270i | ||||
\(454\) | 1.80272 | + | 17.1518i | 0.0846059 | + | 0.804972i | ||||
\(455\) | −15.3489 | − | 6.18054i | −0.719569 | − | 0.289748i | ||||
\(456\) | −0.767769 | − | 10.8741i | −0.0359541 | − | 0.509226i | ||||
\(457\) | −12.1898 | + | 7.03776i | −0.570213 | + | 0.329213i | −0.757234 | − | 0.653143i | \(-0.773450\pi\) |
0.187022 | + | 0.982356i | \(0.440117\pi\) | |||||||
\(458\) | −17.6062 | + | 24.2329i | −0.822684 | + | 1.13233i | ||||
\(459\) | 1.16519 | + | 5.42768i | 0.0543862 | + | 0.253343i | ||||
\(460\) | −0.558721 | + | 3.19043i | −0.0260505 | + | 0.148755i | ||||
\(461\) | −6.23334 | + | 6.92282i | −0.290316 | + | 0.322428i | −0.870605 | − | 0.491982i | \(-0.836273\pi\) |
0.580290 | + | 0.814410i | \(0.302939\pi\) | |||||||
\(462\) | 0.631476 | + | 1.55992i | 0.0293789 | + | 0.0725743i | ||||
\(463\) | −15.8695 | + | 14.2890i | −0.737520 | + | 0.664066i | −0.949699 | − | 0.313165i | \(-0.898611\pi\) |
0.212179 | + | 0.977231i | \(0.431944\pi\) | |||||||
\(464\) | 4.81952 | + | 1.02442i | 0.223741 | + | 0.0475576i | ||||
\(465\) | 15.0135 | − | 1.60595i | 0.696232 | − | 0.0744741i | ||||
\(466\) | −8.91030 | + | 1.89394i | −0.412762 | + | 0.0877352i | ||||
\(467\) | −1.58473 | + | 2.18120i | −0.0733326 | + | 0.100934i | −0.844108 | − | 0.536174i | \(-0.819869\pi\) |
0.770775 | + | 0.637107i | \(0.219869\pi\) | |||||||
\(468\) | 3.84375 | + | 10.5164i | 0.177677 | + | 0.486121i | ||||
\(469\) | −18.9670 | − | 13.7803i | −0.875813 | − | 0.636316i | ||||
\(470\) | −0.424811 | − | 1.16293i | −0.0195951 | − | 0.0536421i | ||||
\(471\) | −6.67360 | + | 6.92006i | −0.307503 | + | 0.318860i | ||||
\(472\) | 8.57926 | − | 0.901717i | 0.394893 | − | 0.0415049i | ||||
\(473\) | −0.0816591 | + | 0.384176i | −0.00375469 | + | 0.0176644i | ||||
\(474\) | 4.06675 | − | 0.719909i | 0.186792 | − | 0.0330665i | ||||
\(475\) | 22.6878 | + | 21.8072i | 1.04099 | + | 1.00059i | ||||
\(476\) | 2.11819 | 0.0970871 | ||||||||
\(477\) | −1.19585 | − | 8.42631i | −0.0547541 | − | 0.385814i | ||||
\(478\) | −14.0697 | − | 19.3653i | −0.643533 | − | 0.885747i | ||||
\(479\) | −2.08747 | − | 0.929401i | −0.0953789 | − | 0.0424654i | 0.358493 | − | 0.933533i | \(-0.383291\pi\) |
−0.453872 | + | 0.891067i | \(0.649957\pi\) | |||||||
\(480\) | 2.59683 | + | 2.87341i | 0.118529 | + | 0.131153i | ||||
\(481\) | 38.4663 | − | 17.1263i | 1.75391 | − | 0.780892i | ||||
\(482\) | 8.24394 | + | 4.75964i | 0.375501 | + | 0.216796i | ||||
\(483\) | 4.96196 | − | 0.350341i | 0.225777 | − | 0.0159411i | ||||
\(484\) | −10.5247 | + | 2.23710i | −0.478396 | + | 0.101686i | ||||
\(485\) | 32.8949 | + | 17.4413i | 1.49368 | + | 0.791969i | ||||
\(486\) | 14.4730 | + | 5.79071i | 0.656509 | + | 0.262672i | ||||
\(487\) | 37.0053 | + | 12.0238i | 1.67687 | + | 0.544848i | 0.984300 | − | 0.176501i | \(-0.0564780\pi\) |
0.692571 | + | 0.721350i | \(0.256478\pi\) | |||||||
\(488\) | 0.0241677 | + | 0.113700i | 0.00109402 | + | 0.00514695i | ||||
\(489\) | 10.4209 | − | 16.7019i | 0.471247 | − | 0.755288i | ||||
\(490\) | −1.66799 | − | 6.65682i | −0.0753519 | − | 0.300724i | ||||
\(491\) | −11.1863 | − | 12.4237i | −0.504833 | − | 0.560674i | 0.435824 | − | 0.900032i | \(-0.356457\pi\) |
−0.940657 | + | 0.339358i | \(0.889790\pi\) | |||||||
\(492\) | 9.59785 | + | 14.2087i | 0.432704 | + | 0.640577i | ||||
\(493\) | 4.55876 | − | 2.63200i | 0.205316 | − | 0.118539i | ||||
\(494\) | −19.0039 | − | 13.8072i | −0.855027 | − | 0.621214i | ||||
\(495\) | 0.914085 | + | 3.15777i | 0.0410851 | + | 0.141931i | ||||
\(496\) | −3.15401 | + | 2.29152i | −0.141619 | + | 0.102892i | ||||
\(497\) | −6.63744 | + | 14.9079i | −0.297730 | + | 0.668712i | ||||
\(498\) | 0.797375 | − | 0.424663i | 0.0357312 | − | 0.0190296i | ||||
\(499\) | 7.50440 | − | 12.9980i | 0.335943 | − | 0.581870i | −0.647723 | − | 0.761876i | \(-0.724278\pi\) |
0.983666 | + | 0.180006i | \(0.0576117\pi\) | |||||||
\(500\) | −11.1231 | − | 1.12972i | −0.497441 | − | 0.0505227i | ||||
\(501\) | −18.7230 | + | 3.31440i | −0.836480 | + | 0.148076i | ||||
\(502\) | 21.6813 | + | 19.5220i | 0.967686 | + | 0.871308i | ||||
\(503\) | 20.5268 | + | 28.2527i | 0.915246 | + | 1.25973i | 0.965343 | + | 0.260983i | \(0.0840468\pi\) |
−0.0500975 | + | 0.998744i | \(0.515953\pi\) | |||||||
\(504\) | 3.31941 | − | 4.93559i | 0.147858 | − | 0.219849i | ||||
\(505\) | 13.8754 | − | 6.78752i | 0.617445 | − | 0.302041i | ||||
\(506\) | 0.0742003 | − | 0.705969i | 0.00329861 | − | 0.0313841i | ||||
\(507\) | 1.51386 | + | 0.549843i | 0.0672329 | + | 0.0244194i | ||||
\(508\) | −3.13106 | − | 7.03247i | −0.138918 | − | 0.312015i | ||||
\(509\) | 4.17849 | + | 4.64068i | 0.185208 | + | 0.205694i | 0.828598 | − | 0.559844i | \(-0.189139\pi\) |
−0.643390 | + | 0.765539i | \(0.722472\pi\) | |||||||
\(510\) | 4.11585 | + | 0.424928i | 0.182253 | + | 0.0188161i | ||||
\(511\) | 7.99540 | − | 8.87979i | 0.353696 | − | 0.392819i | ||||
\(512\) | −0.951057 | − | 0.309017i | −0.0420312 | − | 0.0136568i | ||||
\(513\) | −31.9750 | + | 6.86422i | −1.41173 | + | 0.303063i | ||||
\(514\) | 6.38810 | + | 19.6606i | 0.281767 | + | 0.867190i | ||||
\(515\) | −0.864088 | − | 23.9430i | −0.0380763 | − | 1.05505i | ||||
\(516\) | 1.28673 | − | 0.520882i | 0.0566450 | − | 0.0229306i | ||||
\(517\) | 0.110365 | + | 0.247883i | 0.00485383 | + | 0.0109019i | ||||
\(518\) | −19.3712 | − | 11.1839i | −0.851120 | − | 0.491394i | ||||
\(519\) | 15.7051 | − | 10.6087i | 0.689379 | − | 0.465670i | ||||
\(520\) | 8.34020 | − | 0.300993i | 0.365742 | − | 0.0131994i | ||||
\(521\) | −26.9382 | + | 19.5718i | −1.18019 | + | 0.857455i | −0.992193 | − | 0.124715i | \(-0.960198\pi\) |
−0.187993 | + | 0.982170i | \(0.560198\pi\) | |||||||
\(522\) | 1.01120 | − | 14.7470i | 0.0442589 | − | 0.645457i | ||||
\(523\) | −23.5869 | + | 7.66385i | −1.03138 | + | 0.335117i | −0.775337 | − | 0.631548i | \(-0.782420\pi\) |
−0.256046 | + | 0.966665i | \(0.582420\pi\) | |||||||
\(524\) | −3.62238 | − | 6.27414i | −0.158244 | − | 0.274087i | ||||
\(525\) | 2.44081 | + | 16.9960i | 0.106526 | + | 0.741766i | ||||
\(526\) | −13.3507 | + | 23.1240i | −0.582117 | + | 1.00826i | ||||
\(527\) | −0.865966 | + | 4.07405i | −0.0377221 | + | 0.177468i | ||||
\(528\) | −0.610977 | − | 0.589217i | −0.0265894 | − | 0.0256424i | ||||
\(529\) | 19.0947 | + | 8.50153i | 0.830206 | + | 0.369632i | ||||
\(530\) | −6.24844 | − | 1.09425i | −0.271415 | − | 0.0475312i | ||||
\(531\) | −6.29474 | − | 25.1023i | −0.273168 | − | 1.08935i | ||||
\(532\) | 12.4784i | 0.541009i | ||||||||
\(533\) | 36.7456 | + | 3.86212i | 1.59163 | + | 0.167287i | ||||
\(534\) | −11.8541 | − | 9.24858i | −0.512979 | − | 0.400225i | ||||
\(535\) | −21.6954 | − | 1.49164i | −0.937972 | − | 0.0644893i | ||||
\(536\) | 11.5663 | + | 2.45850i | 0.499590 | + | 0.106191i | ||||
\(537\) | −10.4311 | − | 25.7679i | −0.450137 | − | 1.11197i | ||||
\(538\) | 0.366397 | + | 1.72376i | 0.0157965 | + | 0.0743168i | ||||
\(539\) | 0.464765 | + | 1.43040i | 0.0200189 | + | 0.0616117i | ||||
\(540\) | 7.44006 | − | 8.92443i | 0.320169 | − | 0.384046i | ||||
\(541\) | 0.107531 | − | 0.330946i | 0.00462311 | − | 0.0142285i | −0.948718 | − | 0.316123i | \(-0.897619\pi\) |
0.953341 | + | 0.301894i | \(0.0976189\pi\) | |||||||
\(542\) | −31.2246 | − | 3.28184i | −1.34121 | − | 0.140967i | ||||
\(543\) | −32.5756 | + | 27.3717i | −1.39795 | + | 1.17463i | ||||
\(544\) | −0.975992 | + | 0.434540i | −0.0418453 | + | 0.0186307i | ||||
\(545\) | −35.7070 | − | 14.3781i | −1.52952 | − | 0.615890i | ||||
\(546\) | −3.54114 | − | 12.3180i | −0.151547 | − | 0.527162i | ||||
\(547\) | 8.21430 | − | 18.4496i | 0.351218 | − | 0.788849i | −0.648402 | − | 0.761298i | \(-0.724562\pi\) |
0.999620 | − | 0.0275510i | \(-0.00877087\pi\) | |||||||
\(548\) | −0.209885 | + | 0.0681959i | −0.00896586 | + | 0.00291319i | ||||
\(549\) | 0.327528 | − | 0.119712i | 0.0139786 | − | 0.00510917i | ||||
\(550\) | 2.44899 | + | 0.0797971i | 0.104425 | + | 0.00340256i | ||||
\(551\) | 15.5053 | + | 26.8560i | 0.660550 | + | 1.14411i | ||||
\(552\) | −2.21444 | + | 1.17936i | −0.0942528 | + | 0.0501967i | ||||
\(553\) | −4.70164 | + | 0.494163i | −0.199934 | + | 0.0210139i | ||||
\(554\) | 2.06104 | + | 19.6095i | 0.0875651 | + | 0.833126i | ||||
\(555\) | −35.3965 | − | 25.6175i | −1.50250 | − | 1.08740i | ||||
\(556\) | 1.59203 | − | 15.1472i | 0.0675171 | − | 0.642383i | ||||
\(557\) | − | 34.9593i | − | 1.48127i | −0.671906 | − | 0.740636i | \(-0.734524\pi\) | ||
0.671906 | − | 0.740636i | \(-0.265476\pi\) | |||||||
\(558\) | 8.13588 | + | 8.40221i | 0.344419 | + | 0.355694i | ||||
\(559\) | 0.924347 | − | 2.84485i | 0.0390957 | − | 0.120324i | ||||
\(560\) | −2.73353 | − | 3.49035i | −0.115513 | − | 0.147494i | ||||
\(561\) | −0.906295 | − | 0.0310358i | −0.0382638 | − | 0.00131033i | ||||
\(562\) | −2.37689 | + | 2.14016i | −0.100263 | + | 0.0902772i | ||||
\(563\) | −8.89879 | + | 8.01251i | −0.375039 | + | 0.337687i | −0.834998 | − | 0.550254i | \(-0.814531\pi\) |
0.459958 | + | 0.887941i | \(0.347864\pi\) | |||||||
\(564\) | 0.507656 | − | 0.813642i | 0.0213762 | − | 0.0342605i | ||||
\(565\) | −16.8241 | − | 21.4822i | −0.707796 | − | 0.903762i | ||||
\(566\) | 5.48505 | − | 16.8812i | 0.230554 | − | 0.709572i | ||||
\(567\) | −16.0591 | − | 7.77893i | −0.674419 | − | 0.326684i | ||||
\(568\) | − | 8.23073i | − | 0.345354i | ||||||
\(569\) | −4.09153 | + | 38.9283i | −0.171526 | + | 1.63196i | 0.482790 | + | 0.875736i | \(0.339624\pi\) |
−0.654315 | + | 0.756222i | \(0.727043\pi\) | |||||||
\(570\) | −2.50329 | + | 24.2468i | −0.104851 | + | 1.01559i | ||||
\(571\) | −1.21875 | − | 11.5956i | −0.0510031 | − | 0.485262i | −0.989972 | − | 0.141261i | \(-0.954884\pi\) |
0.938969 | − | 0.344001i | \(-0.111782\pi\) | |||||||
\(572\) | −1.81901 | + | 0.191186i | −0.0760567 | + | 0.00799388i | ||||
\(573\) | 1.00744 | − | 29.4189i | 0.0420865 | − | 1.22899i | ||||
\(574\) | −9.81377 | − | 16.9979i | −0.409619 | − | 0.709480i | ||||
\(575\) | 2.46122 | − | 6.81158i | 0.102640 | − | 0.284062i | ||||
\(576\) | −0.516954 | + | 2.95512i | −0.0215398 | + | 0.123130i | ||||
\(577\) | −18.3479 | + | 5.96161i | −0.763835 | + | 0.248185i | −0.664924 | − | 0.746911i | \(-0.731536\pi\) |
−0.0989111 | + | 0.995096i | \(0.531536\pi\) | |||||||
\(578\) | 6.45028 | − | 14.4876i | 0.268296 | − | 0.602603i | ||||
\(579\) | 0.873432 | − | 0.905689i | 0.0362986 | − | 0.0376391i | ||||
\(580\) | −10.2201 | − | 4.11532i | −0.424366 | − | 0.170879i | ||||
\(581\) | −0.944718 | + | 0.420616i | −0.0391935 | + | 0.0174501i | ||||
\(582\) | 5.02724 | + | 28.3988i | 0.208386 | + | 1.17717i | ||||
\(583\) | 1.38264 | + | 0.145321i | 0.0572629 | + | 0.00601858i | ||||
\(584\) | −1.86236 | + | 5.73175i | −0.0770649 | + | 0.237181i | ||||
\(585\) | −4.40967 | − | 24.6455i | −0.182317 | − | 1.01897i | ||||
\(586\) | 9.08306 | + | 27.9548i | 0.375218 | + | 1.15480i | ||||
\(587\) | 6.60420 | + | 31.0703i | 0.272584 | + | 1.28241i | 0.874960 | + | 0.484196i | \(0.160888\pi\) |
−0.602375 | + | 0.798213i | \(0.705779\pi\) | |||||||
\(588\) | 3.26988 | − | 4.19108i | 0.134847 | − | 0.172837i | ||||
\(589\) | −24.0006 | − | 5.10148i | −0.988927 | − | 0.210203i | ||||
\(590\) | −19.2441 | − | 1.32311i | −0.792265 | − | 0.0544714i | ||||
\(591\) | −11.2805 | + | 4.56647i | −0.464017 | + | 0.187840i | ||||
\(592\) | 11.2199 | + | 1.17926i | 0.461137 | + | 0.0484674i | ||||
\(593\) | 0.873866i | 0.0358854i | 0.999839 | + | 0.0179427i | \(0.00571164\pi\) | ||||
−0.999839 | + | 0.0179427i | \(0.994288\pi\) | |||||||
\(594\) | −1.49257 | + | 2.06312i | −0.0612408 | + | 0.0846508i | ||||
\(595\) | −4.66542 | − | 0.817025i | −0.191263 | − | 0.0334948i | ||||
\(596\) | 18.4411 | + | 8.21051i | 0.755377 | + | 0.336316i | ||||
\(597\) | 4.00496 | − | 16.1093i | 0.163912 | − | 0.659311i | ||||
\(598\) | −1.12403 | + | 5.28813i | −0.0459649 | + | 0.216248i | ||||
\(599\) | −1.70130 | + | 2.94673i | −0.0695131 | + | 0.120400i | −0.898687 | − | 0.438590i | \(-0.855478\pi\) |
0.829174 | + | 0.558991i | \(0.188811\pi\) | |||||||
\(600\) | −4.61132 | − | 7.33047i | −0.188256 | − | 0.299265i | ||||
\(601\) | −12.3459 | − | 21.3837i | −0.503600 | − | 0.872261i | −0.999991 | − | 0.00416184i | \(-0.998675\pi\) |
0.496391 | − | 0.868099i | \(-0.334658\pi\) | |||||||
\(602\) | −1.51124 | + | 0.491032i | −0.0615936 | + | 0.0200130i | ||||
\(603\) | 2.42677 | − | 35.3911i | 0.0988255 | − | 1.44124i | ||||
\(604\) | −18.5405 | + | 13.4705i | −0.754403 | + | 0.548106i | ||||
\(605\) | 24.0441 | − | 0.867738i | 0.977531 | − | 0.0352786i | ||||
\(606\) | 10.7575 | + | 5.23778i | 0.436992 | + | 0.212770i | ||||
\(607\) | 6.89636 | + | 3.98162i | 0.279915 | + | 0.161609i | 0.633385 | − | 0.773837i | \(-0.281665\pi\) |
−0.353470 | + | 0.935446i | \(0.614998\pi\) | |||||||
\(608\) | −2.55991 | − | 5.74966i | −0.103818 | − | 0.233179i | ||||
\(609\) | −2.34354 | + | 16.7573i | −0.0949651 | + | 0.679038i | ||||
\(610\) | −0.00937429 | − | 0.259751i | −0.000379554 | − | 0.0105170i | ||||
\(611\) | −0.638595 | − | 1.96539i | −0.0258348 | − | 0.0795113i | ||||
\(612\) | 1.70210 | + | 2.71576i | 0.0688032 | + | 0.109778i | ||||
\(613\) | −4.73078 | − | 1.53712i | −0.191074 | − | 0.0620838i | 0.211917 | − | 0.977288i | \(-0.432029\pi\) |
−0.402991 | + | 0.915204i | \(0.632029\pi\) | |||||||
\(614\) | −7.62976 | + | 8.47371i | −0.307912 | + | 0.341971i | ||||
\(615\) | −15.6592 | − | 34.9974i | −0.631439 | − | 1.41123i | ||||
\(616\) | 0.650140 | + | 0.722053i | 0.0261949 | + | 0.0290924i | ||||
\(617\) | 1.32872 | + | 2.98435i | 0.0534921 | + | 0.120145i | 0.938314 | − | 0.345784i | \(-0.112387\pi\) |
−0.884822 | + | 0.465929i | \(0.845720\pi\) | |||||||
\(618\) | 14.2084 | − | 11.9386i | 0.571544 | − | 0.480240i | ||||
\(619\) | 3.49184 | − | 33.2226i | 0.140349 | − | 1.33533i | −0.666912 | − | 0.745136i | \(-0.732384\pi\) |
0.807261 | − | 0.590194i | \(-0.200949\pi\) | |||||||
\(620\) | 7.83075 | − | 3.83063i | 0.314490 | − | 0.153842i | ||||
\(621\) | 4.43642 | + | 6.08027i | 0.178028 | + | 0.243993i | ||||
\(622\) | −0.519598 | − | 0.715166i | −0.0208340 | − | 0.0286755i | ||||
\(623\) | 12.7900 | + | 11.5162i | 0.512420 | + | 0.461385i | ||||
\(624\) | 4.15864 | + | 4.94928i | 0.166479 | + | 0.198130i | ||||
\(625\) | 24.0635 | + | 6.77866i | 0.962538 | + | 0.271146i | ||||
\(626\) | −7.40041 | + | 12.8179i | −0.295780 | + | 0.512306i | ||||
\(627\) | 0.182835 | − | 5.33906i | 0.00730172 | − | 0.213222i | ||||
\(628\) | −2.25759 | + | 5.07063i | −0.0900877 | + | 0.202340i | ||||
\(629\) | 9.75102 | − | 7.08453i | 0.388799 | − | 0.282479i | ||||
\(630\) | −9.21491 | + | 9.59052i | −0.367131 | + | 0.382096i | ||||
\(631\) | 16.6785 | + | 12.1176i | 0.663960 | + | 0.482395i | 0.867998 | − | 0.496568i | \(-0.165407\pi\) |
−0.204038 | + | 0.978963i | \(0.565407\pi\) | |||||||
\(632\) | 2.06499 | − | 1.19222i | 0.0821408 | − | 0.0474240i | ||||
\(633\) | −5.96724 | + | 12.2557i | −0.237177 | + | 0.487119i | ||||
\(634\) | 4.16911 | + | 4.63027i | 0.165577 | + | 0.183891i | ||||
\(635\) | 4.18375 | + | 16.6971i | 0.166027 | + | 0.662603i | ||||
\(636\) | −2.30976 | − | 4.33696i | −0.0915880 | − | 0.171972i | ||||
\(637\) | −2.38154 | − | 11.2042i | −0.0943599 | − | 0.443928i | ||||
\(638\) | 2.29643 | + | 0.746155i | 0.0909165 | + | 0.0295406i | ||||
\(639\) | −24.4472 | + | 3.46951i | −0.967118 | + | 0.137252i | ||||
\(640\) | 1.97555 | + | 1.04747i | 0.0780907 | + | 0.0414047i | ||||
\(641\) | 19.2002 | − | 4.08113i | 0.758363 | − | 0.161195i | 0.187527 | − | 0.982259i | \(-0.439953\pi\) |
0.570836 | + | 0.821064i | \(0.306619\pi\) | |||||||
\(642\) | −9.42893 | − | 13.9586i | −0.372130 | − | 0.550903i | ||||
\(643\) | 3.31406 | + | 1.91338i | 0.130694 | + | 0.0754562i | 0.563922 | − | 0.825828i | \(-0.309292\pi\) |
−0.433228 | + | 0.901285i | \(0.642625\pi\) | |||||||
\(644\) | 2.62363 | − | 1.16812i | 0.103386 | − | 0.0460302i | ||||
\(645\) | −3.03499 | + | 0.650954i | −0.119503 | + | 0.0256313i | ||||
\(646\) | −6.14268 | − | 2.73490i | −0.241681 | − | 0.107603i | ||||
\(647\) | 19.1682 | + | 26.3828i | 0.753581 | + | 1.03722i | 0.997721 | + | 0.0674754i | \(0.0214944\pi\) |
−0.244140 | + | 0.969740i | \(0.578506\pi\) | |||||||
\(648\) | 8.99533 | + | 0.289801i | 0.353370 | + | 0.0113845i | ||||
\(649\) | 4.22749 | 0.165944 | ||||||||
\(650\) | −18.4858 | − | 2.55402i | −0.725072 | − | 0.100177i | ||||
\(651\) | −8.61255 | − | 10.2500i | −0.337552 | − | 0.401728i | ||||
\(652\) | 2.36310 | − | 11.1175i | 0.0925460 | − | 0.435395i | ||||
\(653\) | 24.2999 | − | 2.55402i | 0.950927 | − | 0.0999465i | 0.383655 | − | 0.923477i | \(-0.374665\pi\) |
0.567273 | + | 0.823530i | \(0.307999\pi\) | |||||||
\(654\) | −8.23792 | − | 28.6560i | −0.322128 | − | 1.12054i | ||||
\(655\) | 5.55841 | + | 15.2163i | 0.217185 | + | 0.594551i | ||||
\(656\) | 8.00893 | + | 5.81883i | 0.312696 | + | 0.227187i | ||||
\(657\) | 17.8097 | + | 3.11554i | 0.694822 | + | 0.121549i | ||||
\(658\) | −0.645262 | + | 0.888128i | −0.0251549 | + | 0.0346228i | ||||
\(659\) | −48.8683 | + | 10.3873i | −1.90364 | + | 0.404631i | −0.999733 | − | 0.0231048i | \(-0.992645\pi\) |
−0.903904 | + | 0.427735i | \(0.859312\pi\) | |||||||
\(660\) | 1.11843 | + | 1.53344i | 0.0435350 | + | 0.0596892i | ||||
\(661\) | −13.0063 | − | 2.76458i | −0.505888 | − | 0.107530i | −0.0521044 | − | 0.998642i | \(-0.516593\pi\) |
−0.453784 | + | 0.891112i | \(0.649926\pi\) | |||||||
\(662\) | 6.02791 | − | 5.42756i | 0.234281 | − | 0.210948i | ||||
\(663\) | 6.83982 | + | 0.956565i | 0.265637 | + | 0.0371499i | ||||
\(664\) | 0.349007 | − | 0.387612i | 0.0135441 | − | 0.0150422i | ||||
\(665\) | 4.81317 | − | 27.4844i | 0.186647 | − | 1.06580i | ||||
\(666\) | −1.22686 | − | 33.8230i | −0.0475398 | − | 1.31061i | ||||
\(667\) | 4.19510 | − | 5.77406i | 0.162435 | − | 0.223573i | ||||
\(668\) | −9.50703 | + | 5.48889i | −0.367838 | + | 0.212371i | ||||
\(669\) | 14.8604 | − | 10.0381i | 0.574537 | − | 0.388094i | ||||
\(670\) | −24.5271 | − | 9.87632i | −0.947566 | − | 0.381556i | ||||
\(671\) | 0.00595439 | + | 0.0566522i | 0.000229867 | + | 0.00218704i | ||||
\(672\) | 0.828527 | − | 3.33262i | 0.0319611 | − | 0.128559i | ||||
\(673\) | −27.2982 | − | 24.5794i | −1.05227 | − | 0.947467i | −0.0535746 | − | 0.998564i | \(-0.517061\pi\) |
−0.998694 | + | 0.0510973i | \(0.983728\pi\) | |||||||
\(674\) | 30.1274 | 1.16047 | ||||||||
\(675\) | −19.8294 | + | 16.7867i | −0.763235 | + | 0.646121i | ||||
\(676\) | 0.929893 | 0.0357651 | ||||||||
\(677\) | 4.26763 | + | 3.84259i | 0.164018 | + | 0.147683i | 0.747053 | − | 0.664765i | \(-0.231468\pi\) |
−0.583035 | + | 0.812447i | \(0.698135\pi\) | |||||||
\(678\) | 5.09936 | − | 20.5114i | 0.195840 | − | 0.787736i | ||||
\(679\) | −3.45082 | − | 32.8324i | −0.132430 | − | 1.25999i | ||||
\(680\) | 2.31728 | − | 0.580637i | 0.0888637 | − | 0.0222664i | ||||
\(681\) | 24.7532 | − | 16.7206i | 0.948544 | − | 0.640733i | ||||
\(682\) | −1.65456 | + | 0.955262i | −0.0633565 | + | 0.0365789i | ||||
\(683\) | −11.7745 | + | 16.2062i | −0.450538 | + | 0.620112i | −0.972513 | − | 0.232849i | \(-0.925195\pi\) |
0.521975 | + | 0.852961i | \(0.325195\pi\) | |||||||
\(684\) | −15.9988 | + | 10.0272i | −0.611728 | + | 0.383400i | ||||
\(685\) | 0.488587 | − | 0.0692481i | 0.0186680 | − | 0.00264583i | ||||
\(686\) | −13.3582 | + | 14.8358i | −0.510019 | + | 0.566433i | ||||
\(687\) | 51.3809 | + | 7.18573i | 1.96030 | + | 0.274153i | ||||
\(688\) | 0.595596 | − | 0.536277i | 0.0227069 | − | 0.0204454i | ||||
\(689\) | −10.3568 | − | 2.20140i | −0.394562 | − | 0.0838667i | ||||
\(690\) | 5.33231 | − | 1.74344i | 0.202998 | − | 0.0663716i | ||||
\(691\) | −21.0350 | + | 4.47112i | −0.800208 | + | 0.170089i | −0.589827 | − | 0.807530i | \(-0.700804\pi\) |
−0.210381 | + | 0.977619i | \(0.567471\pi\) | |||||||
\(692\) | 6.43167 | − | 8.85244i | 0.244495 | − | 0.336519i | ||||
\(693\) | 1.87062 | − | 2.23544i | 0.0710588 | − | 0.0849172i | ||||
\(694\) | 9.01693 | + | 6.55118i | 0.342278 | + | 0.248680i | ||||
\(695\) | −9.34906 | + | 32.7483i | −0.354630 | + | 1.24221i | ||||
\(696\) | −2.35787 | − | 8.20196i | −0.0893748 | − | 0.310895i | ||||
\(697\) | 10.5184 | − | 1.10552i | 0.398411 | − | 0.0418747i | ||||
\(698\) | 0.724034 | − | 3.40631i | 0.0274051 | − | 0.128931i | ||||
\(699\) | 10.1500 | + | 12.0797i | 0.383908 | + | 0.456896i | ||||
\(700\) | 4.67444 | + | 8.74204i | 0.176677 | + | 0.330418i | ||||
\(701\) | −31.2405 | −1.17994 | −0.589968 | − | 0.807427i | \(-0.700860\pi\) | ||||
−0.589968 | + | 0.807427i | \(0.700860\pi\) | |||||||
\(702\) | 12.9476 | − | 14.4384i | 0.488674 | − | 0.544943i | ||||
\(703\) | 41.7356 | + | 57.4442i | 1.57409 | + | 2.16655i | ||||
\(704\) | −0.447690 | − | 0.199324i | −0.0168729 | − | 0.00751232i | ||||
\(705\) | −1.43197 | + | 1.59627i | −0.0539313 | + | 0.0601191i | ||||
\(706\) | −32.2995 | + | 14.3807i | −1.21561 | + | 0.541224i | ||||
\(707\) | −11.8611 | − | 6.84802i | −0.446083 | − | 0.257546i | ||||
\(708\) | −8.36358 | − | 12.3815i | −0.314323 | − | 0.465324i | ||||
\(709\) | 39.5810 | − | 8.41319i | 1.48649 | − | 0.315964i | 0.608085 | − | 0.793872i | \(-0.291938\pi\) |
0.878410 | + | 0.477908i | \(0.158605\pi\) | |||||||
\(710\) | −3.17475 | + | 18.1286i | −0.119146 | + | 0.680354i | ||||
\(711\) | −4.41163 | − | 5.63094i | −0.165449 | − | 0.211177i | ||||
\(712\) | −8.25571 | − | 2.68244i | −0.309396 | − | 0.100529i | ||||
\(713\) | 1.17411 | + | 5.52375i | 0.0439707 | + | 0.206866i | ||||
\(714\) | −1.72459 | − | 3.23821i | −0.0645412 | − | 0.121187i | ||||
\(715\) | 4.08020 | + | 0.280530i | 0.152591 | + | 0.0104912i | ||||
\(716\) | −10.7394 | − | 11.9274i | −0.401352 | − | 0.445746i | ||||
\(717\) | −18.1496 | + | 37.2760i | −0.677809 | + | 1.39210i | ||||
\(718\) | 23.2658 | − | 13.4325i | 0.868270 | − | 0.501296i | ||||
\(719\) | −16.0141 | − | 11.6349i | −0.597225 | − | 0.433910i | 0.247668 | − | 0.968845i | \(-0.420336\pi\) |
−0.844893 | + | 0.534936i | \(0.820336\pi\) | |||||||
\(720\) | 2.27846 | − | 6.30941i | 0.0849133 | − | 0.235138i | ||||
\(721\) | −17.1863 | + | 12.4866i | −0.640050 | + | 0.465024i | ||||
\(722\) | 8.38354 | − | 18.8297i | 0.312003 | − | 0.700770i | ||||
\(723\) | 0.564292 | − | 16.4782i | 0.0209863 | − | 0.612832i | ||||
\(724\) | −12.2827 | + | 21.2743i | −0.456483 | + | 0.790653i | ||||
\(725\) | 20.9229 | + | 13.0063i | 0.777057 | + | 0.483041i | ||||
\(726\) | 11.9890 | + | 14.2684i | 0.444954 | + | 0.529549i | ||||
\(727\) | −12.2636 | − | 11.0422i | −0.454832 | − | 0.409533i | 0.409613 | − | 0.912259i | \(-0.365664\pi\) |
−0.864446 | + | 0.502726i | \(0.832330\pi\) | |||||||
\(728\) | −4.34952 | − | 5.98660i | −0.161204 | − | 0.221878i | ||||
\(729\) | −2.93103 | − | 26.8404i | −0.108557 | − | 0.994090i | ||||
\(730\) | 6.31278 | − | 11.9061i | 0.233646 | − | 0.440665i | ||||
\(731\) | 0.0895013 | − | 0.851548i | 0.00331033 | − | 0.0314956i | ||||
\(732\) | 0.154143 | − | 0.129519i | 0.00569729 | − | 0.00478715i | ||||
\(733\) | −8.75168 | − | 19.6566i | −0.323251 | − | 0.726033i | 0.676697 | − | 0.736262i | \(-0.263411\pi\) |
−0.999948 | + | 0.0102288i | \(0.996744\pi\) | |||||||
\(734\) | −2.86927 | − | 3.18665i | −0.105907 | − | 0.117621i | ||||
\(735\) | −8.81864 | + | 7.96981i | −0.325280 | + | 0.293971i | ||||
\(736\) | −0.969248 | + | 1.07646i | −0.0357270 | + | 0.0396788i | ||||
\(737\) | 5.51119 | + | 1.79069i | 0.203007 | + | 0.0659610i | ||||
\(738\) | 13.9073 | − | 26.2413i | 0.511935 | − | 0.965954i | ||||
\(739\) | −4.28532 | − | 13.1889i | −0.157638 | − | 0.485160i | 0.840781 | − | 0.541376i | \(-0.182096\pi\) |
−0.998419 | + | 0.0562160i | \(0.982096\pi\) | |||||||
\(740\) | −24.2576 | − | 6.92513i | −0.891727 | − | 0.254573i | ||||
\(741\) | −5.63521 | + | 40.2940i | −0.207015 | + | 1.48024i | ||||
\(742\) | 2.28775 | + | 5.13837i | 0.0839859 | + | 0.188635i | ||||
\(743\) | −18.9368 | − | 10.9332i | −0.694724 | − | 0.401099i | 0.110656 | − | 0.993859i | \(-0.464705\pi\) |
−0.805379 | + | 0.592760i | \(0.798038\pi\) | |||||||
\(744\) | 6.07113 | + | 2.95601i | 0.222578 | + | 0.108373i | ||||
\(745\) | −37.4505 | − | 25.1971i | −1.37208 | − | 0.923152i | ||||
\(746\) | −16.4666 | + | 11.9637i | −0.602887 | + | 0.438023i | ||||
\(747\) | −1.29842 | − | 0.873244i | −0.0475066 | − | 0.0319503i | ||||
\(748\) | −0.497932 | + | 0.161788i | −0.0182062 | + | 0.00591555i | ||||
\(749\) | 9.64105 | + | 16.6988i | 0.352276 | + | 0.610161i | ||||
\(750\) | 7.32916 | + | 17.9244i | 0.267623 | + | 0.654506i | ||||
\(751\) | −19.8460 | + | 34.3742i | −0.724190 | + | 1.25433i | 0.235116 | + | 0.971967i | \(0.424453\pi\) |
−0.959306 | + | 0.282367i | \(0.908880\pi\) | |||||||
\(752\) | 0.115119 | − | 0.541594i | 0.00419797 | − | 0.0197499i | ||||
\(753\) | 12.1919 | − | 49.0400i | 0.444297 | − | 1.78712i | ||||
\(754\) | −16.7998 | − | 7.47974i | −0.611812 | − | 0.272396i | ||||
\(755\) | 46.0322 | − | 22.5179i | 1.67528 | − | 0.819512i | ||||
\(756\) | −10.2479 | − | 1.05612i | −0.372714 | − | 0.0384106i | ||||
\(757\) | − | 9.09533i | − | 0.330575i | −0.986245 | − | 0.165288i | \(-0.947145\pi\) | ||
0.986245 | − | 0.165288i | \(-0.0528552\pi\) | |||||||
\(758\) | −2.43769 | − | 0.256212i | −0.0885410 | − | 0.00930604i | ||||
\(759\) | −1.13967 | + | 0.461352i | −0.0413674 | + | 0.0167460i | ||||
\(760\) | 3.42058 | + | 13.6513i | 0.124078 | + | 0.495185i | ||||
\(761\) | 28.8761 | + | 6.13780i | 1.04676 | + | 0.222495i | 0.699024 | − | 0.715098i | \(-0.253618\pi\) |
0.347733 | + | 0.937594i | \(0.386952\pi\) | |||||||
\(762\) | −8.20172 | + | 10.5123i | −0.297117 | + | 0.380822i | ||||
\(763\) | 7.09619 | + | 33.3850i | 0.256899 | + | 1.20862i | ||||
\(764\) | −5.25173 | − | 16.1632i | −0.190001 | − | 0.584762i | ||||
\(765\) | −2.70143 | − | 6.63812i | −0.0976706 | − | 0.240002i | ||||
\(766\) | −3.65730 | + | 11.2560i | −0.132144 | + | 0.406697i | ||||
\(767\) | −32.0202 | − | 3.36546i | −1.15618 | − | 0.121520i | ||||
\(768\) | 0.301919 | + | 1.70553i | 0.0108946 | + | 0.0615431i | ||||
\(769\) | −20.8515 | + | 9.28366i | −0.751923 | + | 0.334778i | −0.746658 | − | 0.665209i | \(-0.768343\pi\) |
−0.00526505 | + | 0.999986i | \(0.501676\pi\) | |||||||
\(770\) | −1.15345 | − | 1.84113i | −0.0415676 | − | 0.0663497i | ||||
\(771\) | 24.8552 | − | 25.7731i | 0.895139 | − | 0.928197i | ||||
\(772\) | 0.295471 | − | 0.663638i | 0.0106342 | − | 0.0238849i | ||||
\(773\) | −30.3139 | + | 9.84959i | −1.09032 | + | 0.354265i | −0.798368 | − | 0.602169i | \(-0.794303\pi\) |
−0.291948 | + | 0.956434i | \(0.594303\pi\) | |||||||
\(774\) | −1.84393 | − | 1.54301i | −0.0662788 | − | 0.0554622i | ||||
\(775\) | −18.7251 | + | 5.41669i | −0.672627 | + | 0.194573i | ||||
\(776\) | 8.32548 | + | 14.4202i | 0.298867 | + | 0.517654i | ||||
\(777\) | −1.32594 | + | 38.7196i | −0.0475680 | + | 1.38906i | ||||
\(778\) | −8.54047 | + | 0.897640i | −0.306191 | + | 0.0321819i | ||||
\(779\) | 6.51274 | + | 61.9645i | 0.233343 | + | 2.22011i | ||||
\(780\) | −7.25058 | − | 12.5051i | −0.259612 | − | 0.447754i | ||||
\(781\) | 0.421619 | − | 4.01144i | 0.0150867 | − | 0.143540i | ||||
\(782\) | 1.54753i | 0.0553397i | ||||||||
\(783\) | −23.3679 | + | 10.4608i | −0.835099 | + | 0.373839i | ||||
\(784\) | 0.948389 | − | 2.91884i | 0.0338710 | − | 0.104244i | ||||
\(785\) | 6.92829 | − | 10.2975i | 0.247281 | − | 0.367534i | ||||
\(786\) | −6.64239 | + | 10.6460i | −0.236926 | + | 0.379731i | ||||
\(787\) | −9.40265 | + | 8.46619i | −0.335168 | + | 0.301787i | −0.819479 | − | 0.573109i | \(-0.805737\pi\) |
0.484311 | + | 0.874896i | \(0.339070\pi\) | |||||||
\(788\) | −5.22147 | + | 4.70144i | −0.186007 | + | 0.167482i | ||||
\(789\) | 46.2210 | + | 1.58283i | 1.64551 | + | 0.0563501i | ||||
\(790\) | −5.00810 | + | 1.82942i | −0.178180 | + | 0.0650879i | ||||
\(791\) | −7.47633 | + | 23.0098i | −0.265828 | + | 0.818134i | ||||
\(792\) | −0.403326 | + | 1.41377i | −0.0143316 | + | 0.0502360i | ||||
\(793\) | − | 0.433840i | − | 0.0154061i | ||||||
\(794\) | −1.76964 | + | 16.8370i | −0.0628020 | + | 0.597521i | ||||
\(795\) | 3.41452 | + | 10.4433i | 0.121100 | + | 0.370385i | ||||
\(796\) | −1.00179 | − | 9.53135i | −0.0355073 | − | 0.337830i | ||||
\(797\) | 15.0601 | − | 1.58288i | 0.533458 | − | 0.0560687i | 0.166030 | − | 0.986121i | \(-0.446905\pi\) |
0.367428 | + | 0.930052i | \(0.380239\pi\) | |||||||
\(798\) | 19.0766 | − | 10.1597i | 0.675303 | − | 0.359650i | ||||
\(799\) | −0.295771 | − | 0.512290i | −0.0104636 | − | 0.0181235i | ||||
\(800\) | −3.94723 | − | 3.06910i | −0.139556 | − | 0.108509i | ||||
\(801\) | −4.48746 | + | 25.6522i | −0.158557 | + | 0.906375i | ||||
\(802\) | 9.17875 | − | 2.98236i | 0.324113 | − | 0.105311i | ||||
\(803\) | −1.20127 | + | 2.69810i | −0.0423919 | + | 0.0952139i | ||||
\(804\) | −5.65864 | − | 19.6838i | −0.199565 | − | 0.694195i | ||||
\(805\) | −6.22924 | + | 1.56085i | −0.219552 | + | 0.0550127i | ||||
\(806\) | 13.2926 | − | 5.91824i | 0.468211 | − | 0.208461i | ||||
\(807\) | 2.33691 | − | 1.96359i | 0.0822631 | − | 0.0691216i | ||||
\(808\) | 6.87007 | + | 0.722073i | 0.241688 | + | 0.0254024i | ||||
\(809\) | 12.3314 | − | 37.9522i | 0.433549 | − | 1.33433i | −0.461016 | − | 0.887392i | \(-0.652515\pi\) |
0.894566 | − | 0.446936i | \(-0.147485\pi\) | |||||||
\(810\) | −19.7009 | − | 4.10797i | −0.692218 | − | 0.144339i | ||||
\(811\) | −11.8318 | − | 36.4146i | −0.415472 | − | 1.27869i | −0.911828 | − | 0.410572i | \(-0.865329\pi\) |
0.496357 | − | 0.868119i | \(-0.334671\pi\) | |||||||
\(812\) | 2.03108 | + | 9.55548i | 0.0712770 | + | 0.335332i | ||||
\(813\) | 20.4053 | + | 50.4070i | 0.715647 | + | 1.76785i | ||||
\(814\) | 5.40789 | + | 1.14948i | 0.189546 | + | 0.0402893i | ||||
\(815\) | −9.49306 | + | 23.5753i | −0.332527 | + | 0.825808i | ||||
\(816\) | 1.45894 | + | 1.13826i | 0.0510732 | + | 0.0398472i | ||||
\(817\) | 5.01655 | + | 0.527260i | 0.175507 | + | 0.0184465i | ||||
\(818\) | − | 1.30919i | − | 0.0457748i | ||||||
\(819\) | −15.9482 | + | 15.4426i | −0.557274 | + | 0.539610i | ||||
\(820\) | −15.3956 | − | 15.9055i | −0.537639 | − | 0.555443i | ||||
\(821\) | −4.38929 | − | 1.95424i | −0.153187 | − | 0.0682033i | 0.328711 | − | 0.944431i | \(-0.393386\pi\) |
−0.481898 | + | 0.876227i | \(0.660052\pi\) | |||||||
\(822\) | 0.275140 | + | 0.265341i | 0.00959661 | + | 0.00925482i | ||||
\(823\) | −3.49744 | + | 16.4541i | −0.121913 | + | 0.573556i | 0.874207 | + | 0.485553i | \(0.161382\pi\) |
−0.996120 | + | 0.0880026i | \(0.971952\pi\) | |||||||
\(824\) | 5.35729 | − | 9.27910i | 0.186630 | − | 0.323253i | ||||
\(825\) | −1.87193 | − | 3.80889i | −0.0651722 | − | 0.132608i | ||||
\(826\) | 8.55173 | + | 14.8120i | 0.297553 | + | 0.515377i | ||||
\(827\) | 20.9519 | − | 6.80769i | 0.728569 | − | 0.236727i | 0.0788347 | − | 0.996888i | \(-0.474880\pi\) |
0.649735 | + | 0.760161i | \(0.274880\pi\) | |||||||
\(828\) | 3.60591 | + | 2.42514i | 0.125314 | + | 0.0842793i | ||||
\(829\) | −26.8961 | + | 19.5411i | −0.934139 | + | 0.678692i | −0.947003 | − | 0.321226i | \(-0.895905\pi\) |
0.0128638 | + | 0.999917i | \(0.495905\pi\) | |||||||
\(830\) | −0.918214 | + | 0.719115i | −0.0318717 | + | 0.0249608i | ||||
\(831\) | 28.3001 | − | 19.1165i | 0.981720 | − | 0.663144i | ||||
\(832\) | 3.23225 | + | 1.86614i | 0.112058 | + | 0.0646967i | ||||
\(833\) | −1.33363 | − | 2.99537i | −0.0462074 | − | 0.103783i | ||||
\(834\) | −24.4526 | + | 9.89869i | −0.846724 | + | 0.342764i | ||||
\(835\) | 23.0569 | − | 8.42250i | 0.797916 | − | 0.291473i | ||||
\(836\) | −0.953106 | − | 2.93336i | −0.0329639 | − | 0.101452i | ||||
\(837\) | 6.22089 | − | 19.2787i | 0.215026 | − | 0.666371i | ||||
\(838\) | 7.73983 | + | 2.51482i | 0.267368 | + | 0.0868731i | ||||
\(839\) | −8.98948 | + | 9.98383i | −0.310351 | + | 0.344680i | −0.878061 | − | 0.478549i | \(-0.841163\pi\) |
0.567710 | + | 0.823229i | \(0.307830\pi\) | |||||||
\(840\) | −3.11033 | + | 7.02069i | −0.107316 | + | 0.242237i | ||||
\(841\) | −3.16015 | − | 3.50970i | −0.108971 | − | 0.121024i | ||||
\(842\) | 7.11606 | + | 15.9829i | 0.245235 | + | 0.550808i | ||||
\(843\) | 5.20701 | + | 1.89122i | 0.179339 | + | 0.0651370i | ||||
\(844\) | −0.822636 | + | 7.82686i | −0.0283163 | + | 0.269411i | ||||
\(845\) | −2.04813 | − | 0.358677i | −0.0704579 | − | 0.0123389i | ||||
\(846\) | −1.65719 | − | 0.113633i | −0.0569753 | − | 0.00390679i | ||||
\(847\) | −12.5393 | − | 17.2589i | −0.430855 | − | 0.593022i | ||||
\(848\) | −2.10824 | − | 1.89827i | −0.0723972 | − | 0.0651867i | ||||
\(849\) | −30.2732 | + | 5.35906i | −1.03897 | + | 0.183923i | ||||
\(850\) | −5.32789 | + | 0.385062i | −0.182745 | + | 0.0132075i | ||||
\(851\) | 8.17091 | − | 14.1524i | 0.280095 | − | 0.485139i | ||||
\(852\) | −12.5828 | + | 6.70131i | −0.431080 | + | 0.229583i | ||||
\(853\) | −10.7661 | + | 24.1811i | −0.368625 | + | 0.827945i | 0.630053 | + | 0.776552i | \(0.283033\pi\) |
−0.998678 | + | 0.0513936i | \(0.983634\pi\) | |||||||
\(854\) | −0.186450 | + | 0.135464i | −0.00638018 | + | 0.00463547i | ||||
\(855\) | 39.1057 | − | 15.9144i | 1.33739 | − | 0.544261i | ||||
\(856\) | −7.86799 | − | 5.71643i | −0.268922 | − | 0.195383i | ||||
\(857\) | 0.480662 | − | 0.277510i | 0.0164191 | − | 0.00947958i | −0.491768 | − | 0.870726i | \(-0.663649\pi\) |
0.508187 | + | 0.861247i | \(0.330316\pi\) | |||||||
\(858\) | 1.77328 | + | 2.62517i | 0.0605388 | + | 0.0896219i | ||||
\(859\) | 6.50553 | + | 7.22512i | 0.221966 | + | 0.246518i | 0.843834 | − | 0.536604i | \(-0.180293\pi\) |
−0.621869 | + | 0.783121i | \(0.713626\pi\) | |||||||
\(860\) | −1.51868 | + | 0.951445i | −0.0517866 | + | 0.0324440i | ||||
\(861\) | −17.9956 | + | 28.8423i | −0.613289 | + | 0.982943i | ||||
\(862\) | −2.66777 | − | 12.5509i | −0.0908646 | − | 0.427484i | ||||
\(863\) | 27.4917 | + | 8.93259i | 0.935828 | + | 0.304069i | 0.736944 | − | 0.675954i | \(-0.236268\pi\) |
0.198884 | + | 0.980023i | \(0.436268\pi\) | |||||||
\(864\) | 4.93857 | − | 1.61571i | 0.168014 | − | 0.0549675i | ||||
\(865\) | −17.5806 | + | 17.0171i | −0.597759 | + | 0.578599i | ||||
\(866\) | 20.5819 | − | 4.37483i | 0.699403 | − | 0.148663i | ||||
\(867\) | −27.3997 | + | 1.93457i | −0.930543 | + | 0.0657013i | ||||
\(868\) | −6.69399 | − | 3.86477i | −0.227209 | − | 0.131179i | ||||
\(869\) | 1.06749 | − | 0.475277i | 0.0362121 | − | 0.0161227i | ||||
\(870\) | 2.02967 | + | 18.9747i | 0.0688124 | + | 0.643302i | ||||
\(871\) | −40.3177 | − | 17.9506i | −1.36611 | − | 0.608233i | ||||
\(872\) | −10.1185 | − | 13.9269i | −0.342656 | − | 0.471625i | ||||
\(873\) | 39.3218 | − | 30.8072i | 1.33084 | − | 1.04267i | ||||
\(874\) | −9.11666 | −0.308376 | ||||||||
\(875\) | −6.92371 | − | 21.0578i | −0.234064 | − | 0.711883i | ||||
\(876\) | 10.2788 | − | 1.81958i | 0.347287 | − | 0.0614779i | ||||
\(877\) | −9.12577 | + | 42.9334i | −0.308155 | + | 1.44976i | 0.502675 | + | 0.864475i | \(0.332349\pi\) |
−0.810830 | + | 0.585281i | \(0.800984\pi\) | |||||||
\(878\) | 24.8468 | − | 2.61150i | 0.838539 | − | 0.0881340i | ||||
\(879\) | 35.3409 | − | 36.6461i | 1.19202 | − | 1.23604i | ||||
\(880\) | 0.909176 | + | 0.611704i | 0.0306483 | + | 0.0206205i | ||||
\(881\) | −20.4512 | − | 14.8586i | −0.689017 | − | 0.500600i | 0.187320 | − | 0.982299i | \(-0.440020\pi\) |
−0.876337 | + | 0.481699i | \(0.840020\pi\) | |||||||
\(882\) | −9.06943 | − | 1.58656i | −0.305384 | − | 0.0534222i | ||||
\(883\) | −4.10731 | + | 5.65323i | −0.138222 | + | 0.190246i | −0.872516 | − | 0.488585i | \(-0.837513\pi\) |
0.734294 | + | 0.678831i | \(0.237513\pi\) | |||||||
\(884\) | 3.90027 | − | 0.829028i | 0.131180 | − | 0.0278832i | ||||
\(885\) | 13.6454 | + | 30.4968i | 0.458686 | + | 1.02514i | ||||
\(886\) | −29.5207 | − | 6.27482i | −0.991768 | − | 0.210807i | ||||
\(887\) | −33.3123 | + | 29.9945i | −1.11852 | + | 1.00712i | −0.118619 | + | 0.992940i | \(0.537847\pi\) |
−0.999899 | + | 0.0141784i | \(0.995487\pi\) | |||||||
\(888\) | −7.33225 | − | 18.1127i | −0.246054 | − | 0.607824i | ||||
\(889\) | 10.2126 | − | 11.3423i | 0.342520 | − | 0.380408i | ||||
\(890\) | 17.1489 | + | 9.09260i | 0.574834 | + | 0.304784i | ||||
\(891\) | 4.36924 | + | 0.602027i | 0.146375 | + | 0.0201687i | ||||
\(892\) | 6.08573 | − | 8.37628i | 0.203765 | − | 0.280459i | ||||
\(893\) | 3.01795 | − | 1.74241i | 0.100992 | − | 0.0583076i | ||||
\(894\) | −2.46250 | − | 34.8769i | −0.0823582 | − | 1.16646i | ||||
\(895\) | 19.0535 | + | 30.4130i | 0.636890 | + | 1.01659i | ||||
\(896\) | −0.207245 | − | 1.97180i | −0.00692356 | − | 0.0658732i | ||||
\(897\) | 8.99945 | − | 2.58713i | 0.300483 | − | 0.0863817i | ||||
\(898\) | −24.1682 | − | 21.7611i | −0.806503 | − | 0.726179i | ||||
\(899\) | −19.2090 | −0.640657 | ||||||||
\(900\) | −7.45208 | + | 13.0179i | −0.248403 | + | 0.433931i | ||||
\(901\) | −3.03084 | −0.100972 | ||||||||
\(902\) | 3.60527 | + | 3.24620i | 0.120042 | + | 0.108087i | ||||
\(903\) | 1.98109 | + | 1.91054i | 0.0659267 | + | 0.0635787i | ||||
\(904\) | −1.27553 | − | 12.1359i | −0.0424236 | − | 0.403634i | ||||
\(905\) | 35.2592 | − | 42.1200i | 1.17205 | − | 1.40012i | ||||
\(906\) | 35.6885 | + | 17.3766i | 1.18567 | + | 0.577299i | ||||
\(907\) | 17.3541 | − | 10.0194i | 0.576232 | − | 0.332688i | −0.183402 | − | 0.983038i | \(-0.558711\pi\) |
0.759635 | + | 0.650350i | \(0.225378\pi\) | |||||||
\(908\) | 10.1371 | − | 13.9525i | 0.336411 | − | 0.463030i | ||||
\(909\) | −0.751216 | − | 20.7101i | −0.0249163 | − | 0.686911i | ||||
\(910\) | 7.27089 | + | 14.8635i | 0.241027 | + | 0.492719i | ||||
\(911\) | 22.4179 | − | 24.8976i | 0.742738 | − | 0.824895i | −0.246815 | − | 0.969063i | \(-0.579384\pi\) |
0.989553 | + | 0.144168i | \(0.0460506\pi\) | |||||||
\(912\) | −6.70562 | + | 8.59476i | −0.222045 | + | 0.284601i | ||||
\(913\) | 0.189952 | − | 0.171034i | 0.00628649 | − | 0.00566038i | ||||
\(914\) | 13.7679 | + | 2.92647i | 0.455403 | + | 0.0967989i | ||||
\(915\) | −0.389465 | + | 0.225816i | −0.0128753 | + | 0.00746524i | ||||
\(916\) | 29.2989 | − | 6.22767i | 0.968063 | − | 0.205768i | ||||
\(917\) | 8.44289 | − | 11.6206i | 0.278809 | − | 0.383747i | ||||
\(918\) | 2.76593 | − | 4.81322i | 0.0912892 | − | 0.158860i | ||||
\(919\) | 18.1645 | + | 13.1973i | 0.599190 | + | 0.435337i | 0.845591 | − | 0.533831i | \(-0.179248\pi\) |
−0.246401 | + | 0.969168i | \(0.579248\pi\) | |||||||
\(920\) | 2.55003 | − | 1.99710i | 0.0840719 | − | 0.0658423i | ||||
\(921\) | 19.1663 | + | 4.76494i | 0.631550 | + | 0.157010i | ||||
\(922\) | 9.26455 | − | 0.973743i | 0.305112 | − | 0.0320685i | ||||
\(923\) | −6.38692 | + | 30.0481i | −0.210228 | + | 0.989045i | ||||
\(924\) | 0.574515 | − | 1.58179i | 0.0189002 | − | 0.0520371i | ||||
\(925\) | 50.7574 | + | 24.6095i | 1.66889 | + | 0.809157i | ||||
\(926\) | 21.3546 | 0.701755 | ||||||||
\(927\) | −29.8194 | − | 12.0010i | −0.979398 | − | 0.394165i | ||||
\(928\) | −2.89613 | − | 3.98618i | −0.0950702 | − | 0.130853i | ||||
\(929\) | 19.2183 | + | 8.55654i | 0.630532 | + | 0.280731i | 0.697015 | − | 0.717057i | \(-0.254511\pi\) |
−0.0664830 | + | 0.997788i | \(0.521178\pi\) | |||||||
\(930\) | −12.2318 | − | 8.85251i | −0.401095 | − | 0.290285i | ||||
\(931\) | 17.6460 | − | 7.85650i | 0.578324 | − | 0.257487i | ||||
\(932\) | 7.88894 | + | 4.55468i | 0.258411 | + | 0.149194i | ||||
\(933\) | −0.670270 | + | 1.37662i | −0.0219437 | + | 0.0450684i | ||||
\(934\) | 2.63719 | − | 0.560552i | 0.0862915 | − | 0.0183418i | ||||
\(935\) | 1.15912 | − | 0.164284i | 0.0379074 | − | 0.00537266i | ||||
\(936\) | 4.18038 | − | 10.3872i | 0.136640 | − | 0.339515i | ||||
\(937\) | 12.8409 | + | 4.17225i | 0.419493 | + | 0.136302i | 0.511155 | − | 0.859489i | \(-0.329218\pi\) |
−0.0916618 | + | 0.995790i | \(0.529218\pi\) | |||||||
\(938\) | 4.87438 | + | 22.9321i | 0.159154 | + | 0.748761i | ||||
\(939\) | 25.6207 | + | 0.877376i | 0.836101 | + | 0.0286321i | ||||
\(940\) | −0.462458 | + | 1.14848i | −0.0150837 | + | 0.0374594i | ||||
\(941\) | −7.70431 | − | 8.55650i | −0.251153 | − | 0.278934i | 0.604364 | − | 0.796708i | \(-0.293427\pi\) |
−0.855517 | + | 0.517774i | \(0.826761\pi\) | |||||||
\(942\) | 9.58988 | − | 0.677097i | 0.312455 | − | 0.0220610i | ||||
\(943\) | 12.4186 | − | 7.16987i | 0.404404 | − | 0.233483i | ||||
\(944\) | −6.97900 | − | 5.07054i | −0.227147 | − | 0.165032i | ||||
\(945\) | 22.1642 | + | 6.27897i | 0.721002 | + | 0.204255i | ||||
\(946\) | 0.317748 | − | 0.230858i | 0.0103309 | − | 0.00750583i | ||||
\(947\) | 7.38119 | − | 16.5784i | 0.239856 | − | 0.538727i | −0.753003 | − | 0.658017i | \(-0.771395\pi\) |
0.992859 | + | 0.119291i | \(0.0380621\pi\) | |||||||
\(948\) | −3.50389 | − | 2.18619i | −0.113801 | − | 0.0710041i | ||||
\(949\) | 11.2467 | − | 19.4798i | 0.365083 | − | 0.632342i | ||||
\(950\) | −2.26844 | − | 31.3871i | −0.0735978 | − | 1.01833i | ||||
\(951\) | 3.68416 | − | 10.1434i | 0.119467 | − | 0.328924i | ||||
\(952\) | −1.57412 | − | 1.41735i | −0.0510176 | − | 0.0459364i | ||||
\(953\) | −16.9718 | − | 23.3597i | −0.549772 | − | 0.756696i | 0.440210 | − | 0.897895i | \(-0.354904\pi\) |
−0.989981 | + | 0.141199i | \(0.954904\pi\) | |||||||
\(954\) | −4.74962 | + | 7.06215i | −0.153774 | + | 0.228645i | ||||
\(955\) | 5.33276 | + | 37.6258i | 0.172564 | + | 1.21754i | ||||
\(956\) | −2.50208 | + | 23.8057i | −0.0809230 | + | 0.769931i | ||||
\(957\) | −0.729016 | − | 4.11820i | −0.0235658 | − | 0.133122i | ||||
\(958\) | 0.929401 | + | 2.08747i | 0.0300276 | + | 0.0674431i | ||||
\(959\) | −0.292776 | − | 0.325161i | −0.00945423 | − | 0.0105000i | ||||
\(960\) | −0.00713566 | − | 3.87298i | −0.000230302 | − | 0.125000i | ||||
\(961\) | −10.5730 | + | 11.7425i | −0.341065 | + | 0.378791i | ||||
\(962\) | −40.0458 | − | 13.0117i | −1.29113 | − | 0.419513i | ||||
\(963\) | −13.6625 | + | 25.7794i | −0.440269 | + | 0.830731i | ||||
\(964\) | −2.94162 | − | 9.05338i | −0.0947432 | − | 0.291590i | ||||
\(965\) | −0.906766 | + | 1.34773i | −0.0291898 | + | 0.0433849i | ||||
\(966\) | −3.92188 | − | 3.05985i | −0.126184 | − | 0.0984490i | ||||
\(967\) | −13.9267 | − | 31.2799i | −0.447853 | − | 1.00589i | −0.986560 | − | 0.163401i | \(-0.947754\pi\) |
0.538707 | − | 0.842493i | \(-0.318913\pi\) | |||||||
\(968\) | 9.31830 | + | 5.37992i | 0.299501 | + | 0.172917i | ||||
\(969\) | 0.820251 | + | 11.6174i | 0.0263502 | + | 0.373205i | ||||
\(970\) | −12.7752 | − | 34.9724i | −0.410186 | − | 1.12290i | ||||
\(971\) | 21.1343 | − | 15.3550i | 0.678232 | − | 0.492764i | −0.194539 | − | 0.980895i | \(-0.562321\pi\) |
0.872771 | + | 0.488131i | \(0.162321\pi\) | |||||||
\(972\) | −6.88079 | − | 13.9877i | −0.220702 | − | 0.448654i | ||||
\(973\) | 28.7192 | − | 9.33142i | 0.920694 | − | 0.299152i | ||||
\(974\) | −19.4548 | − | 33.6968i | −0.623374 | − | 1.07971i | ||||
\(975\) | 11.1463 | + | 30.3398i | 0.356967 | + | 0.971650i | ||||
\(976\) | 0.0581200 | − | 0.100667i | 0.00186038 | − | 0.00322227i | ||||
\(977\) | −4.44586 | + | 20.9161i | −0.142236 | + | 0.669166i | 0.848027 | + | 0.529953i | \(0.177790\pi\) |
−0.990263 | + | 0.139213i | \(0.955543\pi\) | |||||||
\(978\) | −18.9200 | + | 5.43904i | −0.604994 | + | 0.173921i | ||||
\(979\) | −3.88620 | − | 1.73025i | −0.124204 | − | 0.0552990i | ||||
\(980\) | −3.21472 | + | 6.06308i | −0.102691 | + | 0.193678i | ||||
\(981\) | −37.1010 | + | 35.9250i | −1.18454 | + | 1.14700i | ||||
\(982\) | 16.7177i | 0.533484i | ||||||||
\(983\) | −43.5515 | − | 4.57744i | −1.38908 | − | 0.145998i | −0.619723 | − | 0.784821i | \(-0.712755\pi\) |
−0.769354 | + | 0.638823i | \(0.779422\pi\) | |||||||
\(984\) | 2.37488 | − | 16.9813i | 0.0757083 | − | 0.541345i | ||||
\(985\) | 13.3140 | − | 8.34112i | 0.424219 | − | 0.265770i | ||||
\(986\) | −5.14897 | − | 1.09445i | −0.163977 | − | 0.0348543i | ||||
\(987\) | 1.88309 | + | 0.263355i | 0.0599396 | + | 0.00838269i | ||||
\(988\) | 4.88388 | + | 22.9768i | 0.155377 | + | 0.730990i | ||||
\(989\) | −0.358744 | − | 1.10410i | −0.0114074 | − | 0.0351084i | ||||
\(990\) | 1.43366 | − | 2.95832i | 0.0455647 | − | 0.0940216i | ||||
\(991\) | 8.60723 | − | 26.4903i | 0.273418 | − | 0.841493i | −0.716216 | − | 0.697879i | \(-0.754127\pi\) |
0.989634 | − | 0.143614i | \(-0.0458725\pi\) | |||||||
\(992\) | 3.87721 | + | 0.407512i | 0.123102 | + | 0.0129385i | ||||
\(993\) | −13.2052 | − | 4.79622i | −0.419056 | − | 0.152204i | ||||
\(994\) | 14.9079 | − | 6.63744i | 0.472851 | − | 0.210527i | ||||
\(995\) | −1.46994 | + | 21.3797i | −0.0466002 | + | 0.677781i | ||||
\(996\) | −0.876720 | − | 0.217962i | −0.0277799 | − | 0.00690640i | ||||
\(997\) | 1.39013 | − | 3.12228i | 0.0440259 | − | 0.0988837i | −0.890194 | − | 0.455582i | \(-0.849431\pi\) |
0.934219 | + | 0.356699i | \(0.116098\pi\) | |||||||
\(998\) | −14.2742 | + | 4.63797i | −0.451842 | + | 0.146812i | ||||
\(999\) | −50.7084 | + | 29.4136i | −1.60434 | + | 0.930606i |
(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 | 450.2.v.a.319.7 | yes | 240 | |
9.7 | even | 3 | inner | 450.2.v.a.169.15 | yes | 240 | |
25.4 | even | 10 | inner | 450.2.v.a.229.15 | yes | 240 | |
225.79 | even | 30 | inner | 450.2.v.a.79.7 | ✓ | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
450.2.v.a.79.7 | ✓ | 240 | 225.79 | even | 30 | inner | |
450.2.v.a.169.15 | yes | 240 | 9.7 | even | 3 | inner | |
450.2.v.a.229.15 | yes | 240 | 25.4 | even | 10 | inner | |
450.2.v.a.319.7 | yes | 240 | 1.1 | even | 1 | trivial |