Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,2,Mod(7,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.l (of order \(44\), degree \(20\), 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: | \(1.83655924649\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 7.11 | ||
Character | \(\chi\) | \(=\) | 230.7 |
Dual form | 230.2.l.a.33.11 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{19}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.997452 | − | 0.0713392i | 0.705305 | − | 0.0504444i | ||||
\(3\) | 0.452602 | − | 2.08058i | 0.261310 | − | 1.20122i | −0.640112 | − | 0.768282i | \(-0.721112\pi\) |
0.901422 | − | 0.432941i | \(-0.142524\pi\) | |||||||
\(4\) | 0.989821 | − | 0.142315i | 0.494911 | − | 0.0711574i | ||||
\(5\) | −1.62540 | − | 1.53561i | −0.726900 | − | 0.686743i | ||||
\(6\) | 0.303022 | − | 2.10757i | 0.123708 | − | 0.860410i | ||||
\(7\) | −0.567213 | + | 1.03877i | −0.214386 | + | 0.392619i | −0.962636 | − | 0.270798i | \(-0.912713\pi\) |
0.748250 | + | 0.663417i | \(0.230894\pi\) | |||||||
\(8\) | 0.977147 | − | 0.212565i | 0.345474 | − | 0.0751532i | ||||
\(9\) | −1.39507 | − | 0.637105i | −0.465022 | − | 0.212368i | ||||
\(10\) | −1.73080 | − | 1.41574i | −0.547329 | − | 0.447696i | ||||
\(11\) | 1.51315 | − | 1.31115i | 0.456231 | − | 0.395327i | −0.396201 | − | 0.918164i | \(-0.629672\pi\) |
0.852433 | + | 0.522837i | \(0.175126\pi\) | |||||||
\(12\) | 0.151898 | − | 2.12381i | 0.0438492 | − | 0.613092i | ||||
\(13\) | 0.355339 | − | 0.194030i | 0.0985532 | − | 0.0538141i | −0.429216 | − | 0.903202i | \(-0.641210\pi\) |
0.527770 | + | 0.849388i | \(0.323028\pi\) | |||||||
\(14\) | −0.491662 | + | 1.07659i | −0.131402 | + | 0.287731i | ||||
\(15\) | −3.93061 | + | 2.68675i | −1.01488 | + | 0.693716i | ||||
\(16\) | 0.959493 | − | 0.281733i | 0.239873 | − | 0.0704331i | ||||
\(17\) | 0.119153 | + | 0.159170i | 0.0288989 | + | 0.0386044i | 0.814758 | − | 0.579801i | \(-0.196870\pi\) |
−0.785859 | + | 0.618406i | \(0.787779\pi\) | |||||||
\(18\) | −1.43696 | − | 0.535959i | −0.338695 | − | 0.126327i | ||||
\(19\) | 0.301905 | + | 2.09979i | 0.0692617 | + | 0.481726i | 0.994699 | + | 0.102826i | \(0.0327884\pi\) |
−0.925438 | + | 0.378900i | \(0.876303\pi\) | |||||||
\(20\) | −1.82739 | − | 1.28866i | −0.408617 | − | 0.288152i | ||||
\(21\) | 1.90453 | + | 1.65028i | 0.415602 | + | 0.360121i | ||||
\(22\) | 1.41576 | − | 1.41576i | 0.301840 | − | 0.301840i | ||||
\(23\) | −4.01244 | + | 2.62684i | −0.836652 | + | 0.547735i | ||||
\(24\) | − | 2.12924i | − | 0.434629i | ||||||
\(25\) | 0.283834 | + | 4.99194i | 0.0567668 | + | 0.998387i | ||||
\(26\) | 0.340591 | − | 0.218885i | 0.0667955 | − | 0.0429268i | ||||
\(27\) | 1.87106 | − | 2.49944i | 0.360085 | − | 0.481018i | ||||
\(28\) | −0.413607 | + | 1.10892i | −0.0781643 | + | 0.209567i | ||||
\(29\) | 6.77284 | + | 0.973787i | 1.25768 | + | 0.180828i | 0.738746 | − | 0.673984i | \(-0.235418\pi\) |
0.518939 | + | 0.854811i | \(0.326327\pi\) | |||||||
\(30\) | −3.72892 | + | 2.96031i | −0.680805 | + | 0.540476i | ||||
\(31\) | 4.28224 | + | 2.75203i | 0.769114 | + | 0.494279i | 0.865404 | − | 0.501074i | \(-0.167062\pi\) |
−0.0962909 | + | 0.995353i | \(0.530698\pi\) | |||||||
\(32\) | 0.936950 | − | 0.349464i | 0.165631 | − | 0.0617771i | ||||
\(33\) | −2.04310 | − | 3.74166i | −0.355658 | − | 0.651339i | ||||
\(34\) | 0.130205 | + | 0.150264i | 0.0223299 | + | 0.0257701i | ||||
\(35\) | 2.51709 | − | 0.817404i | 0.425466 | − | 0.138166i | ||||
\(36\) | −1.47154 | − | 0.432082i | −0.245256 | − | 0.0720136i | ||||
\(37\) | 2.08129 | + | 5.58014i | 0.342161 | + | 0.917370i | 0.988077 | + | 0.153961i | \(0.0492031\pi\) |
−0.645916 | + | 0.763409i | \(0.723524\pi\) | |||||||
\(38\) | 0.450933 | + | 2.07291i | 0.0731510 | + | 0.336270i | ||||
\(39\) | −0.242867 | − | 0.827129i | −0.0388898 | − | 0.132447i | ||||
\(40\) | −1.91467 | − | 1.15501i | −0.302736 | − | 0.182623i | ||||
\(41\) | −0.0109360 | − | 0.0239466i | −0.00170792 | − | 0.00373983i | 0.908776 | − | 0.417284i | \(-0.137018\pi\) |
−0.910484 | + | 0.413544i | \(0.864291\pi\) | |||||||
\(42\) | 2.01740 | + | 1.51021i | 0.311292 | + | 0.233030i | ||||
\(43\) | −6.74241 | − | 1.46672i | −1.02821 | − | 0.223673i | −0.333337 | − | 0.942808i | \(-0.608175\pi\) |
−0.694871 | + | 0.719135i | \(0.744538\pi\) | |||||||
\(44\) | 1.31115 | − | 1.51315i | 0.197663 | − | 0.228116i | ||||
\(45\) | 1.28919 | + | 3.17782i | 0.192182 | + | 0.473721i | ||||
\(46\) | −3.81482 | + | 2.90639i | −0.562465 | + | 0.428524i | ||||
\(47\) | −3.75022 | − | 3.75022i | −0.547025 | − | 0.547025i | 0.378554 | − | 0.925579i | \(-0.376421\pi\) |
−0.925579 | + | 0.378554i | \(0.876421\pi\) | |||||||
\(48\) | −0.151898 | − | 2.12381i | −0.0219246 | − | 0.306546i | ||||
\(49\) | 3.02717 | + | 4.71036i | 0.432453 | + | 0.672909i | ||||
\(50\) | 0.639232 | + | 4.95897i | 0.0904010 | + | 0.701304i | ||||
\(51\) | 0.385095 | − | 0.175867i | 0.0539240 | − | 0.0246263i | ||||
\(52\) | 0.324109 | − | 0.242625i | 0.0449458 | − | 0.0336460i | ||||
\(53\) | 0.474023 | + | 0.258836i | 0.0651121 | + | 0.0355539i | 0.511475 | − | 0.859298i | \(-0.329099\pi\) |
−0.446363 | + | 0.894852i | \(0.647281\pi\) | |||||||
\(54\) | 1.68798 | − | 2.62655i | 0.229705 | − | 0.357429i | ||||
\(55\) | −4.47288 | − | 0.192458i | −0.603123 | − | 0.0259510i | ||||
\(56\) | −0.333443 | + | 1.13560i | −0.0445582 | + | 0.151751i | ||||
\(57\) | 4.50543 | + | 0.322235i | 0.596759 | + | 0.0426810i | ||||
\(58\) | 6.82505 | + | 0.488137i | 0.896173 | + | 0.0640956i | ||||
\(59\) | 3.65243 | − | 12.4390i | 0.475506 | − | 1.61943i | −0.277020 | − | 0.960864i | \(-0.589347\pi\) |
0.752527 | − | 0.658562i | \(-0.228835\pi\) | |||||||
\(60\) | −3.50823 | + | 3.21879i | −0.452911 | + | 0.415544i | ||||
\(61\) | −7.12877 | + | 11.0926i | −0.912745 | + | 1.42026i | −0.00534774 | + | 0.999986i | \(0.501702\pi\) |
−0.907397 | + | 0.420274i | \(0.861934\pi\) | |||||||
\(62\) | 4.46766 | + | 2.43953i | 0.567393 | + | 0.309820i | ||||
\(63\) | 1.45311 | − | 1.08778i | 0.183074 | − | 0.137048i | ||||
\(64\) | 0.909632 | − | 0.415415i | 0.113704 | − | 0.0519269i | ||||
\(65\) | −0.875520 | − | 0.230285i | −0.108595 | − | 0.0285633i | ||||
\(66\) | −2.30482 | − | 3.58637i | −0.283704 | − | 0.441451i | ||||
\(67\) | −0.104967 | − | 1.46764i | −0.0128238 | − | 0.179300i | −0.999827 | − | 0.0185997i | \(-0.994079\pi\) |
0.987003 | − | 0.160701i | \(-0.0513754\pi\) | |||||||
\(68\) | 0.140593 | + | 0.140593i | 0.0170493 | + | 0.0170493i | ||||
\(69\) | 3.64931 | + | 9.53712i | 0.439326 | + | 1.14813i | ||||
\(70\) | 2.45236 | − | 0.994888i | 0.293114 | − | 0.118912i | ||||
\(71\) | −8.17937 | + | 9.43950i | −0.970713 | + | 1.12026i | 0.0220000 | + | 0.999758i | \(0.492997\pi\) |
−0.992713 | + | 0.120504i | \(0.961549\pi\) | |||||||
\(72\) | −1.49861 | − | 0.326003i | −0.176613 | − | 0.0384198i | ||||
\(73\) | −10.6056 | − | 7.93925i | −1.24129 | − | 0.929219i | −0.242133 | − | 0.970243i | \(-0.577847\pi\) |
−0.999158 | + | 0.0410243i | \(0.986938\pi\) | |||||||
\(74\) | 2.47407 | + | 5.41745i | 0.287604 | + | 0.629766i | ||||
\(75\) | 10.5146 | + | 1.66882i | 1.21412 | + | 0.192699i | ||||
\(76\) | 0.597663 | + | 2.03545i | 0.0685567 | + | 0.233483i | ||||
\(77\) | 0.503710 | + | 2.31552i | 0.0574031 | + | 0.263878i | ||||
\(78\) | −0.301255 | − | 0.807695i | −0.0341104 | − | 0.0914535i | ||||
\(79\) | −13.4642 | − | 3.95345i | −1.51484 | − | 0.444797i | −0.584469 | − | 0.811416i | \(-0.698697\pi\) |
−0.930371 | + | 0.366618i | \(0.880515\pi\) | |||||||
\(80\) | −1.99219 | − | 1.01547i | −0.222733 | − | 0.113534i | ||||
\(81\) | −7.36644 | − | 8.50133i | −0.818493 | − | 0.944592i | ||||
\(82\) | −0.0126165 | − | 0.0231054i | −0.00139326 | − | 0.00255156i | ||||
\(83\) | −2.62520 | + | 0.979148i | −0.288153 | + | 0.107475i | −0.489384 | − | 0.872068i | \(-0.662778\pi\) |
0.201231 | + | 0.979544i | \(0.435506\pi\) | |||||||
\(84\) | 2.12000 | + | 1.36244i | 0.231311 | + | 0.148655i | ||||
\(85\) | 0.0507510 | − | 0.441686i | 0.00550471 | − | 0.0479076i | ||||
\(86\) | −6.82987 | − | 0.981986i | −0.736483 | − | 0.105890i | ||||
\(87\) | 5.09145 | − | 13.6507i | 0.545860 | − | 1.46351i | ||||
\(88\) | 1.19986 | − | 1.60283i | 0.127906 | − | 0.170862i | ||||
\(89\) | 1.06577 | − | 0.684929i | 0.112971 | − | 0.0726023i | −0.482935 | − | 0.875656i | \(-0.660429\pi\) |
0.595906 | + | 0.803054i | \(0.296793\pi\) | |||||||
\(90\) | 1.51261 | + | 3.07775i | 0.159443 | + | 0.324424i | ||||
\(91\) | 0.479172i | 0.0502309i | ||||||||
\(92\) | −3.59776 | + | 3.17114i | −0.375093 | + | 0.330614i | ||||
\(93\) | 7.66397 | − | 7.66397i | 0.794717 | − | 0.794717i | ||||
\(94\) | −4.00820 | − | 3.47312i | −0.413414 | − | 0.358225i | ||||
\(95\) | 2.73374 | − | 3.87660i | 0.280476 | − | 0.397731i | ||||
\(96\) | −0.303022 | − | 2.10757i | −0.0309271 | − | 0.215103i | ||||
\(97\) | 6.72549 | + | 2.50848i | 0.682870 | + | 0.254697i | 0.666870 | − | 0.745175i | \(-0.267634\pi\) |
0.0160008 | + | 0.999872i | \(0.494907\pi\) | |||||||
\(98\) | 3.35549 | + | 4.48241i | 0.338956 | + | 0.452792i | ||||
\(99\) | −2.94628 | + | 0.865107i | −0.296113 | + | 0.0869465i | ||||
\(100\) | 0.991372 | + | 4.90073i | 0.0991372 | + | 0.490073i | ||||
\(101\) | 1.33545 | − | 2.92424i | 0.132883 | − | 0.290972i | −0.831481 | − | 0.555553i | \(-0.812506\pi\) |
0.964363 | + | 0.264581i | \(0.0852337\pi\) | |||||||
\(102\) | 0.371567 | − | 0.202891i | 0.0367906 | − | 0.0200892i | ||||
\(103\) | 1.22935 | − | 17.1886i | 0.121132 | − | 1.69364i | −0.466508 | − | 0.884517i | \(-0.654488\pi\) |
0.587639 | − | 0.809123i | \(-0.300057\pi\) | |||||||
\(104\) | 0.305974 | − | 0.265128i | 0.0300032 | − | 0.0259979i | ||||
\(105\) | −0.561432 | − | 5.60697i | −0.0547901 | − | 0.547184i | ||||
\(106\) | 0.491280 | + | 0.224360i | 0.0477174 | + | 0.0217918i | ||||
\(107\) | −4.51644 | + | 0.982491i | −0.436620 | + | 0.0949809i | −0.425502 | − | 0.904957i | \(-0.639903\pi\) |
−0.0111179 | + | 0.999938i | \(0.503539\pi\) | |||||||
\(108\) | 1.49631 | − | 2.74028i | 0.143982 | − | 0.263684i | ||||
\(109\) | −2.12492 | + | 14.7792i | −0.203531 | + | 1.41559i | 0.590170 | + | 0.807279i | \(0.299061\pi\) |
−0.793701 | + | 0.608309i | \(0.791848\pi\) | |||||||
\(110\) | −4.47521 | + | 0.127124i | −0.426695 | + | 0.0121208i | ||||
\(111\) | 12.5519 | − | 1.80469i | 1.19138 | − | 0.171294i | ||||
\(112\) | −0.251581 | + | 1.15650i | −0.0237721 | + | 0.109279i | ||||
\(113\) | −2.26301 | + | 0.161853i | −0.212886 | + | 0.0152259i | −0.177375 | − | 0.984143i | \(-0.556760\pi\) |
−0.0355111 | + | 0.999369i | \(0.511306\pi\) | |||||||
\(114\) | 4.51694 | 0.423050 | ||||||||
\(115\) | 10.5556 | + | 1.89186i | 0.984315 | + | 0.176417i | ||||
\(116\) | 6.84249 | 0.635309 | ||||||||
\(117\) | −0.619338 | + | 0.0442959i | −0.0572578 | + | 0.00409516i | ||||
\(118\) | 2.75574 | − | 12.6679i | 0.253686 | − | 1.16618i | ||||
\(119\) | −0.232926 | + | 0.0334898i | −0.0213523 | + | 0.00307000i | ||||
\(120\) | −3.26967 | + | 3.46086i | −0.298479 | + | 0.315932i | ||||
\(121\) | −0.994961 | + | 6.92011i | −0.0904510 | + | 0.629100i | ||||
\(122\) | −6.31927 | + | 11.5729i | −0.572120 | + | 1.04776i | ||||
\(123\) | −0.0547724 | + | 0.0119150i | −0.00493866 | + | 0.00107434i | ||||
\(124\) | 4.63031 | + | 2.11459i | 0.415814 | + | 0.189896i | ||||
\(125\) | 7.20430 | − | 8.54974i | 0.644372 | − | 0.764712i | ||||
\(126\) | 1.37180 | − | 1.18867i | 0.122210 | − | 0.105895i | ||||
\(127\) | 0.0162103 | − | 0.226649i | 0.00143843 | − | 0.0201119i | −0.996682 | − | 0.0813915i | \(-0.974064\pi\) |
0.998121 | + | 0.0612796i | \(0.0195181\pi\) | |||||||
\(128\) | 0.877679 | − | 0.479249i | 0.0775766 | − | 0.0423600i | ||||
\(129\) | −6.10326 | + | 13.3643i | −0.537362 | + | 1.17666i | ||||
\(130\) | −0.889717 | − | 0.167239i | −0.0780334 | − | 0.0146678i | ||||
\(131\) | 11.5790 | − | 3.39990i | 1.01166 | − | 0.297051i | 0.266428 | − | 0.963855i | \(-0.414156\pi\) |
0.745233 | + | 0.666804i | \(0.232338\pi\) | |||||||
\(132\) | −2.55480 | − | 3.41281i | −0.222366 | − | 0.297047i | ||||
\(133\) | −2.35245 | − | 0.877419i | −0.203983 | − | 0.0760819i | ||||
\(134\) | −0.209400 | − | 1.45641i | −0.0180894 | − | 0.125815i | ||||
\(135\) | −6.87937 | + | 1.18938i | −0.592082 | + | 0.102365i | ||||
\(136\) | 0.150264 | + | 0.130205i | 0.0128850 | + | 0.0111649i | ||||
\(137\) | 13.0950 | − | 13.0950i | 1.11879 | − | 1.11879i | 0.126865 | − | 0.991920i | \(-0.459508\pi\) |
0.991920 | − | 0.126865i | \(-0.0404916\pi\) | |||||||
\(138\) | 4.32039 | + | 9.25248i | 0.367776 | + | 0.787624i | ||||
\(139\) | − | 18.3770i | − | 1.55872i | −0.626578 | − | 0.779359i | \(-0.715545\pi\) | ||
0.626578 | − | 0.779359i | \(-0.284455\pi\) | |||||||
\(140\) | 2.37514 | − | 1.16730i | 0.200736 | − | 0.0986551i | ||||
\(141\) | −9.49998 | + | 6.10527i | −0.800043 | + | 0.514156i | ||||
\(142\) | −7.48513 | + | 9.99896i | −0.628138 | + | 0.839094i | ||||
\(143\) | 0.283278 | − | 0.759498i | 0.0236889 | − | 0.0635124i | ||||
\(144\) | −1.51805 | − | 0.218263i | −0.126504 | − | 0.0181885i | ||||
\(145\) | −9.51321 | − | 11.9832i | −0.790029 | − | 0.995151i | ||||
\(146\) | −11.1450 | − | 7.16243i | −0.922363 | − | 0.592767i | ||||
\(147\) | 11.1704 | − | 4.16634i | 0.921318 | − | 0.343634i | ||||
\(148\) | 2.85424 | + | 5.22715i | 0.234617 | + | 0.429669i | ||||
\(149\) | −1.48811 | − | 1.71737i | −0.121911 | − | 0.140692i | 0.691513 | − | 0.722364i | \(-0.256944\pi\) |
−0.813424 | + | 0.581672i | \(0.802399\pi\) | |||||||
\(150\) | 10.6068 | + | 0.914469i | 0.866046 | + | 0.0746661i | ||||
\(151\) | 6.77317 | + | 1.98878i | 0.551193 | + | 0.161845i | 0.545457 | − | 0.838139i | \(-0.316356\pi\) |
0.00573571 | + | 0.999984i | \(0.498174\pi\) | |||||||
\(152\) | 0.741348 | + | 1.98763i | 0.0601313 | + | 0.161218i | ||||
\(153\) | −0.0648184 | − | 0.297966i | −0.00524026 | − | 0.0240891i | ||||
\(154\) | 0.667614 | + | 2.27368i | 0.0537979 | + | 0.183219i | ||||
\(155\) | −2.73432 | − | 11.0490i | −0.219625 | − | 0.887475i | ||||
\(156\) | −0.358108 | − | 0.784146i | −0.0286715 | − | 0.0627819i | ||||
\(157\) | −8.88237 | − | 6.64926i | −0.708891 | − | 0.530669i | 0.182892 | − | 0.983133i | \(-0.441454\pi\) |
−0.891783 | + | 0.452464i | \(0.850545\pi\) | |||||||
\(158\) | −13.7119 | − | 2.98285i | −1.09086 | − | 0.237303i | ||||
\(159\) | 0.753073 | − | 0.869093i | 0.0597226 | − | 0.0689235i | ||||
\(160\) | −2.05955 | − | 0.870767i | −0.162822 | − | 0.0688401i | ||||
\(161\) | −0.452784 | − | 5.65799i | −0.0356844 | − | 0.445912i | ||||
\(162\) | −7.95415 | − | 7.95415i | −0.624937 | − | 0.624937i | ||||
\(163\) | 0.933684 | + | 13.0546i | 0.0731318 | + | 1.02252i | 0.893027 | + | 0.450003i | \(0.148577\pi\) |
−0.819896 | + | 0.572513i | \(0.805969\pi\) | |||||||
\(164\) | −0.0142327 | − | 0.0221465i | −0.00111138 | − | 0.00172935i | ||||
\(165\) | −2.42486 | + | 9.21907i | −0.188775 | + | 0.717704i | ||||
\(166\) | −2.54866 | + | 1.16393i | −0.197814 | + | 0.0903387i | ||||
\(167\) | −12.2192 | + | 9.14716i | −0.945549 | + | 0.707829i | −0.956384 | − | 0.292112i | \(-0.905642\pi\) |
0.0108353 | + | 0.999941i | \(0.496551\pi\) | |||||||
\(168\) | 2.21180 | + | 1.20773i | 0.170644 | + | 0.0931785i | ||||
\(169\) | −6.93971 | + | 10.7984i | −0.533824 | + | 0.830646i | ||||
\(170\) | 0.0191121 | − | 0.444182i | 0.00146583 | − | 0.0340672i | ||||
\(171\) | 0.916612 | − | 3.12169i | 0.0700951 | − | 0.238722i | ||||
\(172\) | −6.88252 | − | 0.492247i | −0.524787 | − | 0.0375335i | ||||
\(173\) | −9.20605 | − | 0.658430i | −0.699923 | − | 0.0500595i | −0.283157 | − | 0.959073i | \(-0.591382\pi\) |
−0.416766 | + | 0.909014i | \(0.636836\pi\) | |||||||
\(174\) | 4.10464 | − | 13.9791i | 0.311172 | − | 1.05976i | ||||
\(175\) | −5.34648 | − | 2.53665i | −0.404156 | − | 0.191753i | ||||
\(176\) | 1.08246 | − | 1.68434i | 0.0815936 | − | 0.126962i | ||||
\(177\) | −24.2273 | − | 13.2291i | −1.82104 | − | 0.994362i | ||||
\(178\) | 1.01419 | − | 0.759215i | 0.0760169 | − | 0.0569055i | ||||
\(179\) | 17.3758 | − | 7.93526i | 1.29873 | − | 0.593109i | 0.358461 | − | 0.933545i | \(-0.383302\pi\) |
0.940268 | + | 0.340435i | \(0.110574\pi\) | |||||||
\(180\) | 1.72832 | + | 2.96200i | 0.128822 | + | 0.220775i | ||||
\(181\) | 11.2136 | + | 17.4486i | 0.833497 | + | 1.29695i | 0.952649 | + | 0.304071i | \(0.0983461\pi\) |
−0.119152 | + | 0.992876i | \(0.538018\pi\) | |||||||
\(182\) | 0.0341837 | + | 0.477951i | 0.00253387 | + | 0.0354281i | ||||
\(183\) | 19.8525 | + | 19.8525i | 1.46754 | + | 1.46754i | ||||
\(184\) | −3.36237 | + | 3.41972i | −0.247877 | + | 0.252105i | ||||
\(185\) | 5.18598 | − | 12.2660i | 0.381281 | − | 0.901813i | ||||
\(186\) | 7.09770 | − | 8.19119i | 0.520429 | − | 0.600607i | ||||
\(187\) | 0.388992 | + | 0.0846200i | 0.0284459 | + | 0.00618803i | ||||
\(188\) | −4.24576 | − | 3.17833i | −0.309654 | − | 0.231804i | ||||
\(189\) | 1.53506 | + | 3.36132i | 0.111659 | + | 0.244500i | ||||
\(190\) | 2.45022 | − | 4.06175i | 0.177758 | − | 0.294670i | ||||
\(191\) | −1.86710 | − | 6.35876i | −0.135099 | − | 0.460104i | 0.863956 | − | 0.503567i | \(-0.167979\pi\) |
−0.999055 | + | 0.0434627i | \(0.986161\pi\) | |||||||
\(192\) | −0.452602 | − | 2.08058i | −0.0326638 | − | 0.150153i | ||||
\(193\) | 6.56001 | + | 17.5881i | 0.472200 | + | 1.26602i | 0.926878 | + | 0.375362i | \(0.122481\pi\) |
−0.454678 | + | 0.890656i | \(0.650246\pi\) | |||||||
\(194\) | 6.88731 | + | 2.02230i | 0.494480 | + | 0.145192i | ||||
\(195\) | −0.875388 | + | 1.71736i | −0.0626878 | + | 0.122983i | ||||
\(196\) | 3.66671 | + | 4.23161i | 0.261908 | + | 0.302258i | ||||
\(197\) | 3.61738 | + | 6.62474i | 0.257728 | + | 0.471993i | 0.974219 | − | 0.225603i | \(-0.0724351\pi\) |
−0.716492 | + | 0.697596i | \(0.754253\pi\) | |||||||
\(198\) | −2.87706 | + | 1.07309i | −0.204464 | + | 0.0762610i | ||||
\(199\) | −12.1004 | − | 7.77646i | −0.857775 | − | 0.551259i | 0.0362157 | − | 0.999344i | \(-0.488470\pi\) |
−0.893991 | + | 0.448085i | \(0.852106\pi\) | |||||||
\(200\) | 1.33846 | + | 4.81752i | 0.0946434 | + | 0.340650i | ||||
\(201\) | −3.10104 | − | 0.445863i | −0.218731 | − | 0.0314487i | ||||
\(202\) | 1.12344 | − | 3.01206i | 0.0790449 | − | 0.211927i | ||||
\(203\) | −4.85318 | + | 6.48310i | −0.340627 | + | 0.455024i | ||||
\(204\) | 0.356146 | − | 0.228881i | 0.0249352 | − | 0.0160249i | ||||
\(205\) | −0.0189971 | + | 0.0557161i | −0.00132681 | + | 0.00389138i | ||||
\(206\) | − | 17.2325i | − | 1.20064i | ||||||
\(207\) | 7.27120 | − | 1.10827i | 0.505383 | − | 0.0770301i | ||||
\(208\) | 0.286281 | − | 0.286281i | 0.0198500 | − | 0.0198500i | ||||
\(209\) | 3.20997 | + | 2.78146i | 0.222038 | + | 0.192397i | ||||
\(210\) | −0.959998 | − | 5.55263i | −0.0662461 | − | 0.383168i | ||||
\(211\) | 0.292672 | + | 2.03558i | 0.0201484 | + | 0.140135i | 0.997413 | − | 0.0718903i | \(-0.0229031\pi\) |
−0.977264 | + | 0.212025i | \(0.931994\pi\) | |||||||
\(212\) | 0.506034 | + | 0.188741i | 0.0347546 | + | 0.0129628i | ||||
\(213\) | 15.9376 | + | 21.2902i | 1.09203 | + | 1.45878i | ||||
\(214\) | −4.43484 | + | 1.30219i | −0.303159 | + | 0.0890156i | ||||
\(215\) | 8.70679 | + | 12.7377i | 0.593798 | + | 0.868703i | ||||
\(216\) | 1.29700 | − | 2.84004i | 0.0882500 | − | 0.193240i | ||||
\(217\) | −5.28768 | + | 2.88729i | −0.358951 | + | 0.196002i | ||||
\(218\) | −1.06518 | + | 14.8931i | −0.0721428 | + | 1.00869i | ||||
\(219\) | −21.3184 | + | 18.4725i | −1.44056 | + | 1.24825i | ||||
\(220\) | −4.45474 | + | 0.446058i | −0.300338 | + | 0.0300732i | ||||
\(221\) | 0.0732234 | + | 0.0334400i | 0.00492554 | + | 0.00224942i | ||||
\(222\) | 12.3912 | − | 2.69554i | 0.831643 | − | 0.180913i | ||||
\(223\) | −8.66196 | + | 15.8632i | −0.580048 | + | 1.06228i | 0.408697 | + | 0.912670i | \(0.365983\pi\) |
−0.988745 | + | 0.149608i | \(0.952199\pi\) | |||||||
\(224\) | −0.168436 | + | 1.17150i | −0.0112541 | + | 0.0782740i | ||||
\(225\) | 2.78442 | − | 7.14491i | 0.185628 | − | 0.476328i | ||||
\(226\) | −2.24569 | + | 0.322882i | −0.149381 | + | 0.0214778i | ||||
\(227\) | −3.53850 | + | 16.2662i | −0.234859 | + | 1.07963i | 0.697075 | + | 0.716998i | \(0.254485\pi\) |
−0.931933 | + | 0.362629i | \(0.881879\pi\) | |||||||
\(228\) | 4.50543 | − | 0.322235i | 0.298379 | − | 0.0213405i | ||||
\(229\) | 16.6625 | 1.10109 | 0.550544 | − | 0.834806i | \(-0.314420\pi\) | ||||
0.550544 | + | 0.834806i | \(0.314420\pi\) | |||||||
\(230\) | 10.6637 | + | 1.13401i | 0.703142 | + | 0.0747747i | ||||
\(231\) | 5.04560 | 0.331976 | ||||||||
\(232\) | 6.82505 | − | 0.488137i | 0.448087 | − | 0.0320478i | ||||
\(233\) | 3.93472 | − | 18.0876i | 0.257772 | − | 1.18496i | −0.648149 | − | 0.761514i | \(-0.724457\pi\) |
0.905921 | − | 0.423446i | \(-0.139180\pi\) | |||||||
\(234\) | −0.614600 | + | 0.0883662i | −0.0401777 | + | 0.00577668i | ||||
\(235\) | 0.336741 | + | 11.8544i | 0.0219666 | + | 0.773299i | ||||
\(236\) | 1.84500 | − | 12.8322i | 0.120099 | − | 0.835307i | ||||
\(237\) | −14.3194 | + | 26.2240i | −0.930144 | + | 1.70343i | ||||
\(238\) | −0.229944 | + | 0.0500212i | −0.0149050 | + | 0.00324239i | ||||
\(239\) | −9.39164 | − | 4.28902i | −0.607495 | − | 0.277434i | 0.0878228 | − | 0.996136i | \(-0.472009\pi\) |
−0.695318 | + | 0.718702i | \(0.744736\pi\) | |||||||
\(240\) | −3.01444 | + | 3.68530i | −0.194582 | + | 0.237885i | ||||
\(241\) | 2.00570 | − | 1.73795i | 0.129198 | − | 0.111951i | −0.587865 | − | 0.808959i | \(-0.700031\pi\) |
0.717063 | + | 0.697008i | \(0.245486\pi\) | |||||||
\(242\) | −0.498751 | + | 6.97345i | −0.0320609 | + | 0.448271i | ||||
\(243\) | −12.8009 | + | 6.98983i | −0.821179 | + | 0.448398i | ||||
\(244\) | −5.47757 | + | 11.9942i | −0.350665 | + | 0.767850i | ||||
\(245\) | 2.31291 | − | 12.3047i | 0.147766 | − | 0.786122i | ||||
\(246\) | −0.0537829 | + | 0.0157921i | −0.00342907 | + | 0.00100687i | ||||
\(247\) | 0.514700 | + | 0.687559i | 0.0327496 | + | 0.0437483i | ||||
\(248\) | 4.76937 | + | 1.77888i | 0.302855 | + | 0.112959i | ||||
\(249\) | 0.849025 | + | 5.90510i | 0.0538048 | + | 0.374220i | ||||
\(250\) | 6.57601 | − | 9.04190i | 0.415904 | − | 0.571860i | ||||
\(251\) | −2.40219 | − | 2.08151i | −0.151625 | − | 0.131384i | 0.575745 | − | 0.817629i | \(-0.304712\pi\) |
−0.727370 | + | 0.686246i | \(0.759257\pi\) | |||||||
\(252\) | 1.28351 | − | 1.28351i | 0.0808534 | − | 0.0808534i | ||||
\(253\) | −2.62723 | + | 9.23572i | −0.165173 | + | 0.580645i | ||||
\(254\) | − | 0.227228i | − | 0.0142576i | ||||||
\(255\) | −0.895994 | − | 0.305500i | −0.0561093 | − | 0.0191311i | ||||
\(256\) | 0.841254 | − | 0.540641i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | 1.51231 | − | 2.02021i | 0.0943355 | − | 0.126018i | −0.750890 | − | 0.660427i | \(-0.770375\pi\) |
0.845226 | + | 0.534410i | \(0.179466\pi\) | |||||||
\(258\) | −5.13431 | + | 13.7656i | −0.319648 | + | 0.857011i | ||||
\(259\) | −6.97703 | − | 1.00315i | −0.433532 | − | 0.0623324i | ||||
\(260\) | −0.899381 | − | 0.103341i | −0.0557772 | − | 0.00640895i | ||||
\(261\) | −8.82815 | − | 5.67351i | −0.546449 | − | 0.351181i | ||||
\(262\) | 11.3069 | − | 4.21727i | 0.698545 | − | 0.260544i | ||||
\(263\) | 11.8515 | + | 21.7044i | 0.730794 | + | 1.33835i | 0.933310 | + | 0.359071i | \(0.116906\pi\) |
−0.202516 | + | 0.979279i | \(0.564912\pi\) | |||||||
\(264\) | −2.79175 | − | 3.22185i | −0.171821 | − | 0.198291i | ||||
\(265\) | −0.373006 | − | 1.14862i | −0.0229136 | − | 0.0705594i | ||||
\(266\) | −2.40905 | − | 0.707361i | −0.147708 | − | 0.0433711i | ||||
\(267\) | −0.942679 | − | 2.52742i | −0.0576910 | − | 0.154676i | ||||
\(268\) | −0.312765 | − | 1.43776i | −0.0191052 | − | 0.0878251i | ||||
\(269\) | −3.19355 | − | 10.8762i | −0.194714 | − | 0.663136i | −0.997740 | − | 0.0671917i | \(-0.978596\pi\) |
0.803026 | − | 0.595944i | \(-0.203222\pi\) | |||||||
\(270\) | −6.77699 | + | 1.67712i | −0.412435 | + | 0.102066i | ||||
\(271\) | 5.66163 | + | 12.3972i | 0.343920 | + | 0.753079i | 0.999999 | − | 0.00161319i | \(-0.000513495\pi\) |
−0.656079 | + | 0.754692i | \(0.727786\pi\) | |||||||
\(272\) | 0.159170 | + | 0.119153i | 0.00965109 | + | 0.00722472i | ||||
\(273\) | 0.996956 | + | 0.216874i | 0.0603385 | + | 0.0131258i | ||||
\(274\) | 12.1275 | − | 13.9959i | 0.732649 | − | 0.845521i | ||||
\(275\) | 6.97466 | + | 7.18139i | 0.420588 | + | 0.433054i | ||||
\(276\) | 4.96944 | + | 8.92070i | 0.299125 | + | 0.536963i | ||||
\(277\) | −8.18053 | − | 8.18053i | −0.491521 | − | 0.491521i | 0.417264 | − | 0.908785i | \(-0.362989\pi\) |
−0.908785 | + | 0.417264i | \(0.862989\pi\) | |||||||
\(278\) | −1.31100 | − | 18.3302i | −0.0786286 | − | 1.09937i | ||||
\(279\) | −4.22068 | − | 6.56750i | −0.252685 | − | 0.393186i | ||||
\(280\) | 2.28582 | − | 1.33377i | 0.136604 | − | 0.0797080i | ||||
\(281\) | −7.80132 | + | 3.56274i | −0.465388 | + | 0.212536i | −0.634287 | − | 0.773098i | \(-0.718706\pi\) |
0.168899 | + | 0.985633i | \(0.445979\pi\) | |||||||
\(282\) | −9.04023 | + | 6.76743i | −0.538338 | + | 0.402995i | ||||
\(283\) | −13.3904 | − | 7.31169i | −0.795974 | − | 0.434635i | 0.0291578 | − | 0.999575i | \(-0.490717\pi\) |
−0.825132 | + | 0.564940i | \(0.808899\pi\) | |||||||
\(284\) | −6.75274 | + | 10.5075i | −0.400701 | + | 0.623503i | ||||
\(285\) | −6.82829 | − | 7.44232i | −0.404473 | − | 0.440845i | ||||
\(286\) | 0.228374 | − | 0.777772i | 0.0135041 | − | 0.0459906i | ||||
\(287\) | 0.0310781 | + | 0.00222275i | 0.00183448 | + | 0.000131205i | ||||
\(288\) | −1.52975 | − | 0.109410i | −0.0901415 | − | 0.00644705i | ||||
\(289\) | 4.77832 | − | 16.2734i | 0.281077 | − | 0.957262i | ||||
\(290\) | −10.3438 | − | 11.2740i | −0.607411 | − | 0.662032i | ||||
\(291\) | 8.26306 | − | 12.8576i | 0.484389 | − | 0.753725i | ||||
\(292\) | −11.6275 | − | 6.34911i | −0.680449 | − | 0.371553i | ||||
\(293\) | 26.0416 | − | 19.4945i | 1.52137 | − | 1.13888i | 0.573946 | − | 0.818893i | \(-0.305412\pi\) |
0.947421 | − | 0.319989i | \(-0.103679\pi\) | |||||||
\(294\) | 10.8447 | − | 4.95261i | 0.632476 | − | 0.288842i | ||||
\(295\) | −25.0381 | + | 14.6097i | −1.45778 | + | 0.850610i | ||||
\(296\) | 3.21987 | + | 5.01021i | 0.187151 | + | 0.291213i | ||||
\(297\) | −0.445955 | − | 6.23526i | −0.0258769 | − | 0.361807i | ||||
\(298\) | −1.60683 | − | 1.60683i | −0.0930813 | − | 0.0930813i | ||||
\(299\) | −0.916091 | + | 1.71195i | −0.0529789 | + | 0.0990047i | ||||
\(300\) | 10.6451 | + | 0.155455i | 0.614593 | + | 0.00897522i | ||||
\(301\) | 5.34797 | − | 6.17189i | 0.308252 | − | 0.355742i | ||||
\(302\) | 6.89779 | + | 1.50052i | 0.396923 | + | 0.0863454i | ||||
\(303\) | −5.47968 | − | 4.10203i | −0.314799 | − | 0.235656i | ||||
\(304\) | 0.881255 | + | 1.92968i | 0.0505435 | + | 0.110675i | ||||
\(305\) | 28.6209 | − | 7.08288i | 1.63883 | − | 0.405564i | ||||
\(306\) | −0.0859099 | − | 0.292582i | −0.00491114 | − | 0.0167258i | ||||
\(307\) | 0.851870 | + | 3.91598i | 0.0486188 | + | 0.223497i | 0.995045 | − | 0.0994222i | \(-0.0316994\pi\) |
−0.946427 | + | 0.322919i | \(0.895336\pi\) | |||||||
\(308\) | 0.828116 | + | 2.22026i | 0.0471863 | + | 0.126511i | ||||
\(309\) | −35.2058 | − | 10.3374i | −2.00279 | − | 0.588071i | ||||
\(310\) | −3.51557 | − | 10.8258i | −0.199671 | − | 0.614862i | ||||
\(311\) | −19.2384 | − | 22.2023i | −1.09091 | − | 1.25898i | −0.963667 | − | 0.267107i | \(-0.913932\pi\) |
−0.127245 | − | 0.991871i | \(-0.540613\pi\) | |||||||
\(312\) | −0.413135 | − | 0.756601i | −0.0233892 | − | 0.0428341i | ||||
\(313\) | 25.6388 | − | 9.56277i | 1.44919 | − | 0.540520i | 0.503044 | − | 0.864261i | \(-0.332213\pi\) |
0.946146 | + | 0.323741i | \(0.104941\pi\) | |||||||
\(314\) | −9.33410 | − | 5.99866i | −0.526754 | − | 0.338524i | ||||
\(315\) | −4.03228 | − | 0.463320i | −0.227193 | − | 0.0261051i | ||||
\(316\) | −13.8898 | − | 1.99705i | −0.781362 | − | 0.112343i | ||||
\(317\) | −8.54906 | + | 22.9209i | −0.480163 | + | 1.28737i | 0.440760 | + | 0.897625i | \(0.354709\pi\) |
−0.920924 | + | 0.389743i | \(0.872564\pi\) | |||||||
\(318\) | 0.689154 | − | 0.920602i | 0.0386458 | − | 0.0516248i | ||||
\(319\) | 11.5251 | − | 7.40673i | 0.645281 | − | 0.414697i | ||||
\(320\) | −2.11643 | − | 0.721621i | −0.118312 | − | 0.0403398i | ||||
\(321\) | 9.84148i | 0.549298i | ||||||||
\(322\) | −0.855267 | − | 5.61128i | −0.0476622 | − | 0.312704i | ||||
\(323\) | −0.298251 | + | 0.298251i | −0.0165951 | + | 0.0165951i | ||||
\(324\) | −8.50133 | − | 7.36644i | −0.472296 | − | 0.409247i | ||||
\(325\) | 1.06944 | + | 1.71876i | 0.0593219 | + | 0.0953394i | ||||
\(326\) | 1.86261 | + | 12.9547i | 0.103160 | + | 0.717497i | ||||
\(327\) | 29.7875 | + | 11.1102i | 1.64725 | + | 0.614393i | ||||
\(328\) | −0.0157763 | − | 0.0210747i | −0.000871102 | − | 0.00116366i | ||||
\(329\) | 6.02279 | − | 1.76845i | 0.332047 | − | 0.0974979i | ||||
\(330\) | −1.76100 | + | 9.36857i | −0.0969398 | + | 0.515723i | ||||
\(331\) | 2.75213 | − | 6.02632i | 0.151271 | − | 0.331237i | −0.818792 | − | 0.574090i | \(-0.805356\pi\) |
0.970063 | + | 0.242853i | \(0.0780833\pi\) | |||||||
\(332\) | −2.45913 | + | 1.34279i | −0.134962 | + | 0.0736950i | ||||
\(333\) | 0.651608 | − | 9.11067i | 0.0357079 | − | 0.499261i | ||||
\(334\) | −11.5355 | + | 9.99557i | −0.631194 | + | 0.546933i | ||||
\(335\) | −2.08310 | + | 2.54668i | −0.113812 | + | 0.139140i | ||||
\(336\) | 2.29232 | + | 1.04687i | 0.125056 | + | 0.0571113i | ||||
\(337\) | 23.8786 | − | 5.19448i | 1.30075 | − | 0.282961i | 0.491734 | − | 0.870745i | \(-0.336363\pi\) |
0.809018 | + | 0.587784i | \(0.200000\pi\) | |||||||
\(338\) | −6.15168 | + | 11.2660i | −0.334607 | + | 0.612788i | ||||
\(339\) | −0.687493 | + | 4.78162i | −0.0373395 | + | 0.259702i | ||||
\(340\) | −0.0126241 | − | 0.444413i | −0.000684640 | − | 0.0241017i | ||||
\(341\) | 10.0880 | − | 1.45043i | 0.546296 | − | 0.0785454i | ||||
\(342\) | 0.691578 | − | 3.17913i | 0.0373962 | − | 0.171908i | ||||
\(343\) | −14.8738 | + | 1.06379i | −0.803107 | + | 0.0574394i | ||||
\(344\) | −6.90010 | −0.372028 | ||||||||
\(345\) | 8.71366 | − | 21.1055i | 0.469128 | − | 1.13628i | ||||
\(346\) | −9.22956 | −0.496184 | ||||||||
\(347\) | −20.0043 | + | 1.43074i | −1.07389 | + | 0.0768060i | −0.597064 | − | 0.802193i | \(-0.703666\pi\) |
−0.476823 | + | 0.878999i | \(0.658212\pi\) | |||||||
\(348\) | 3.09693 | − | 14.2363i | 0.166013 | − | 0.763148i | ||||
\(349\) | 5.05279 | − | 0.726482i | 0.270470 | − | 0.0388877i | −0.00574545 | − | 0.999983i | \(-0.501829\pi\) |
0.276215 | + | 0.961096i | \(0.410920\pi\) | |||||||
\(350\) | −5.51382 | − | 2.14877i | −0.294726 | − | 0.114857i | ||||
\(351\) | 0.179894 | − | 1.25119i | 0.00960202 | − | 0.0667835i | ||||
\(352\) | 0.959544 | − | 1.75727i | 0.0511439 | − | 0.0936630i | ||||
\(353\) | −35.9178 | + | 7.81344i | −1.91171 | + | 0.415867i | −0.911724 | + | 0.410803i | \(0.865248\pi\) |
−0.999987 | + | 0.00506422i | \(0.998388\pi\) | |||||||
\(354\) | −25.1093 | − | 11.4671i | −1.33455 | − | 0.609467i | ||||
\(355\) | 27.7901 | − | 2.78265i | 1.47494 | − | 0.147688i | ||||
\(356\) | 0.957446 | − | 0.829632i | 0.0507445 | − | 0.0439704i | ||||
\(357\) | −0.0357449 | + | 0.499780i | −0.00189182 | + | 0.0264511i | ||||
\(358\) | 16.7654 | − | 9.15462i | 0.886081 | − | 0.483837i | ||||
\(359\) | 5.91797 | − | 12.9585i | 0.312338 | − | 0.683925i | −0.686738 | − | 0.726905i | \(-0.740958\pi\) |
0.999076 | + | 0.0429799i | \(0.0136851\pi\) | |||||||
\(360\) | 1.93523 | + | 2.83116i | 0.101995 | + | 0.149215i | ||||
\(361\) | 13.9124 | − | 4.08504i | 0.732231 | − | 0.215002i | ||||
\(362\) | 12.4298 | + | 16.6042i | 0.653294 | + | 0.872698i | ||||
\(363\) | 13.9475 | + | 5.20215i | 0.732054 | + | 0.273042i | ||||
\(364\) | 0.0681933 | + | 0.474295i | 0.00357430 | + | 0.0248598i | ||||
\(365\) | 5.04676 | + | 29.1904i | 0.264159 | + | 1.52790i | ||||
\(366\) | 21.2182 | + | 18.3857i | 1.10909 | + | 0.961033i | ||||
\(367\) | 9.35829 | − | 9.35829i | 0.488499 | − | 0.488499i | −0.419333 | − | 0.907832i | \(-0.637736\pi\) |
0.907832 | + | 0.419333i | \(0.137736\pi\) | |||||||
\(368\) | −3.10984 | + | 3.65087i | −0.162112 | + | 0.190315i | ||||
\(369\) | 0.0403744i | 0.00210181i | ||||||||
\(370\) | 4.29772 | − | 12.6047i | 0.223428 | − | 0.655287i | ||||
\(371\) | −0.537744 | + | 0.345587i | −0.0279183 | + | 0.0179420i | ||||
\(372\) | 6.49527 | − | 8.67666i | 0.336764 | − | 0.449864i | ||||
\(373\) | 10.3250 | − | 27.6824i | 0.534609 | − | 1.43334i | −0.336233 | − | 0.941779i | \(-0.609153\pi\) |
0.870842 | − | 0.491563i | \(-0.163574\pi\) | |||||||
\(374\) | 0.394038 | + | 0.0566541i | 0.0203752 | + | 0.00292951i | ||||
\(375\) | −14.5277 | − | 18.8588i | −0.750209 | − | 0.973862i | ||||
\(376\) | −4.46168 | − | 2.86735i | −0.230094 | − | 0.147872i | ||||
\(377\) | 2.59560 | − | 0.968107i | 0.133680 | − | 0.0498601i | ||||
\(378\) | 1.77095 | + | 3.24324i | 0.0910876 | + | 0.166814i | ||||
\(379\) | −16.5274 | − | 19.0736i | −0.848955 | − | 0.979747i | 0.151006 | − | 0.988533i | \(-0.451749\pi\) |
−0.999961 | + | 0.00878623i | \(0.997203\pi\) | |||||||
\(380\) | 2.15421 | − | 4.22620i | 0.110509 | − | 0.216799i | ||||
\(381\) | −0.464225 | − | 0.136309i | −0.0237830 | − | 0.00698330i | ||||
\(382\) | −2.31597 | − | 6.20937i | −0.118496 | − | 0.317699i | ||||
\(383\) | −2.33461 | − | 10.7320i | −0.119293 | − | 0.548380i | −0.997535 | − | 0.0701648i | \(-0.977647\pi\) |
0.878243 | − | 0.478215i | \(-0.158716\pi\) | |||||||
\(384\) | −0.599876 | − | 2.04299i | −0.0306123 | − | 0.104256i | ||||
\(385\) | 2.73699 | − | 4.53714i | 0.139490 | − | 0.231234i | ||||
\(386\) | 7.79802 | + | 17.0753i | 0.396909 | + | 0.869109i | ||||
\(387\) | 8.47165 | + | 6.34180i | 0.430638 | + | 0.322372i | ||||
\(388\) | 7.01403 | + | 1.52581i | 0.356083 | + | 0.0774612i | ||||
\(389\) | 17.5352 | − | 20.2367i | 0.889070 | − | 1.02604i | −0.110412 | − | 0.993886i | \(-0.535217\pi\) |
0.999483 | − | 0.0321561i | \(-0.0102374\pi\) | |||||||
\(390\) | −0.750642 | + | 1.77543i | −0.0380102 | + | 0.0899026i | ||||
\(391\) | −0.896209 | − | 0.325664i | −0.0453233 | − | 0.0164695i | ||||
\(392\) | 3.95925 | + | 3.95925i | 0.199972 | + | 0.199972i | ||||
\(393\) | −1.83308 | − | 25.6298i | −0.0924667 | − | 1.29285i | ||||
\(394\) | 4.08077 | + | 6.34980i | 0.205586 | + | 0.319898i | ||||
\(395\) | 15.8137 | + | 27.1016i | 0.795676 | + | 1.36363i | ||||
\(396\) | −2.79318 | + | 1.27560i | −0.140362 | + | 0.0641014i | ||||
\(397\) | 2.68208 | − | 2.00778i | 0.134610 | − | 0.100768i | −0.529851 | − | 0.848091i | \(-0.677752\pi\) |
0.664461 | + | 0.747323i | \(0.268661\pi\) | |||||||
\(398\) | −12.6243 | − | 6.89341i | −0.632801 | − | 0.345536i | ||||
\(399\) | −2.89026 | + | 4.49734i | −0.144694 | + | 0.225149i | ||||
\(400\) | 1.67873 | + | 4.70976i | 0.0839364 | + | 0.235488i | ||||
\(401\) | 0.864728 | − | 2.94499i | 0.0431825 | − | 0.147066i | −0.935080 | − | 0.354437i | \(-0.884673\pi\) |
0.978262 | + | 0.207371i | \(0.0664907\pi\) | |||||||
\(402\) | −3.12495 | − | 0.223501i | −0.155858 | − | 0.0111472i | ||||
\(403\) | 2.05562 | + | 0.147021i | 0.102398 | + | 0.00732364i | ||||
\(404\) | 0.905699 | − | 3.08453i | 0.0450602 | − | 0.153461i | ||||
\(405\) | −1.08128 | + | 25.1300i | −0.0537295 | + | 1.24872i | ||||
\(406\) | −4.37832 | + | 6.81280i | −0.217292 | + | 0.338114i | ||||
\(407\) | 10.4657 | + | 5.71471i | 0.518766 | + | 0.283267i | ||||
\(408\) | 0.338911 | − | 0.253705i | 0.0167786 | − | 0.0125603i | ||||
\(409\) | 7.18206 | − | 3.27994i | 0.355130 | − | 0.162183i | −0.229858 | − | 0.973224i | \(-0.573826\pi\) |
0.584988 | + | 0.811042i | \(0.301099\pi\) | |||||||
\(410\) | −0.0149739 | + | 0.0569294i | −0.000739510 | + | 0.00281154i | ||||
\(411\) | −21.3184 | − | 33.1721i | −1.05156 | − | 1.63626i | ||||
\(412\) | −1.22935 | − | 17.1886i | −0.0605658 | − | 0.846820i | ||||
\(413\) | 10.8496 | + | 10.8496i | 0.533876 | + | 0.533876i | ||||
\(414\) | 7.17361 | − | 1.62417i | 0.352564 | − | 0.0798235i | ||||
\(415\) | 5.77057 | + | 2.43976i | 0.283266 | + | 0.119763i | ||||
\(416\) | 0.265128 | − | 0.305974i | 0.0129990 | − | 0.0150016i | ||||
\(417\) | −38.2348 | − | 8.31748i | −1.87237 | − | 0.407309i | ||||
\(418\) | 3.40022 | + | 2.54537i | 0.166310 | + | 0.124498i | ||||
\(419\) | 4.12451 | + | 9.03141i | 0.201495 | + | 0.441213i | 0.983223 | − | 0.182406i | \(-0.0583886\pi\) |
−0.781728 | + | 0.623620i | \(0.785661\pi\) | |||||||
\(420\) | −1.35367 | − | 5.46999i | −0.0660524 | − | 0.266908i | ||||
\(421\) | −3.83028 | − | 13.0447i | −0.186676 | − | 0.635762i | −0.998644 | − | 0.0520590i | \(-0.983422\pi\) |
0.811968 | − | 0.583703i | \(-0.198397\pi\) | |||||||
\(422\) | 0.437143 | + | 2.00951i | 0.0212798 | + | 0.0978216i | ||||
\(423\) | 2.84252 | + | 7.62108i | 0.138208 | + | 0.370550i | ||||
\(424\) | 0.518210 | + | 0.152160i | 0.0251665 | + | 0.00738955i | ||||
\(425\) | −0.760746 | + | 0.639983i | −0.0369016 | + | 0.0310437i | ||||
\(426\) | 17.4158 | + | 20.0989i | 0.843800 | + | 0.973797i | ||||
\(427\) | −7.47914 | − | 13.6970i | −0.361941 | − | 0.662845i | ||||
\(428\) | −4.33064 | + | 1.61525i | −0.209329 | + | 0.0780759i | ||||
\(429\) | −1.45198 | − | 0.933133i | −0.0701024 | − | 0.0450521i | ||||
\(430\) | 9.59330 | + | 12.0841i | 0.462630 | + | 0.582747i | ||||
\(431\) | 4.03462 | + | 0.580091i | 0.194341 | + | 0.0279420i | 0.238798 | − | 0.971069i | \(-0.423247\pi\) |
−0.0444570 | + | 0.999011i | \(0.514156\pi\) | |||||||
\(432\) | 1.09109 | − | 2.92533i | 0.0524953 | − | 0.140745i | ||||
\(433\) | −18.6079 | + | 24.8573i | −0.894241 | + | 1.19457i | 0.0859085 | + | 0.996303i | \(0.472621\pi\) |
−0.980149 | + | 0.198262i | \(0.936470\pi\) | |||||||
\(434\) | −5.06823 | + | 3.25715i | −0.243283 | + | 0.156348i | ||||
\(435\) | −29.2377 | + | 14.3694i | −1.40184 | + | 0.688958i | ||||
\(436\) | 14.9311i | 0.715072i | ||||||||
\(437\) | −6.72720 | − | 7.63224i | −0.321806 | − | 0.365100i | ||||
\(438\) | −19.9462 | + | 19.9462i | −0.953068 | + | 0.953068i | ||||
\(439\) | 18.6602 | + | 16.1691i | 0.890601 | + | 0.771710i | 0.974411 | − | 0.224772i | \(-0.0721636\pi\) |
−0.0838105 | + | 0.996482i | \(0.526709\pi\) | |||||||
\(440\) | −4.41157 | + | 0.762719i | −0.210313 | + | 0.0363612i | ||||
\(441\) | −1.22210 | − | 8.49989i | −0.0581953 | − | 0.404757i | ||||
\(442\) | 0.0754224 | + | 0.0281311i | 0.00358748 | + | 0.00133806i | ||||
\(443\) | 0.662361 | + | 0.884810i | 0.0314697 | + | 0.0420386i | 0.816000 | − | 0.578052i | \(-0.196187\pi\) |
−0.784530 | + | 0.620090i | \(0.787096\pi\) | |||||||
\(444\) | 12.1673 | − | 3.57265i | 0.577436 | − | 0.169551i | ||||
\(445\) | −2.78408 | − | 0.523320i | −0.131978 | − | 0.0248078i | ||||
\(446\) | −7.50823 | + | 16.4407i | −0.355525 | + | 0.778491i | ||||
\(447\) | −4.24664 | + | 2.31884i | −0.200859 | + | 0.109677i | ||||
\(448\) | −0.0844331 | + | 1.18053i | −0.00398909 | + | 0.0557748i | ||||
\(449\) | −5.68681 | + | 4.92765i | −0.268377 | + | 0.232550i | −0.778644 | − | 0.627466i | \(-0.784092\pi\) |
0.510267 | + | 0.860016i | \(0.329547\pi\) | |||||||
\(450\) | 2.26762 | − | 7.32535i | 0.106896 | − | 0.345320i | ||||
\(451\) | −0.0479454 | − | 0.0218959i | −0.00225766 | − | 0.00103104i | ||||
\(452\) | −2.21694 | + | 0.482265i | −0.104276 | + | 0.0226839i | ||||
\(453\) | 7.20337 | − | 13.1920i | 0.338444 | − | 0.619814i | ||||
\(454\) | −2.36907 | + | 16.4772i | −0.111186 | + | 0.773314i | ||||
\(455\) | 0.735819 | − | 0.778845i | 0.0344957 | − | 0.0365128i | ||||
\(456\) | 4.47096 | − | 0.642827i | 0.209372 | − | 0.0301031i | ||||
\(457\) | −2.28912 | + | 10.5229i | −0.107080 | + | 0.492241i | 0.892103 | + | 0.451832i | \(0.149229\pi\) |
−0.999183 | + | 0.0404082i | \(0.987134\pi\) | |||||||
\(458\) | 16.6200 | − | 1.18869i | 0.776604 | − | 0.0555438i | ||||
\(459\) | 0.620778 | 0.0289754 | ||||||||
\(460\) | 10.7174 | + | 0.370387i | 0.499702 | + | 0.0172694i | ||||
\(461\) | −41.4447 | −1.93027 | −0.965135 | − | 0.261751i | \(-0.915700\pi\) | ||||
−0.965135 | + | 0.261751i | \(0.915700\pi\) | |||||||
\(462\) | 5.03274 | − | 0.359949i | 0.234144 | − | 0.0167463i | ||||
\(463\) | −0.393709 | + | 1.80985i | −0.0182972 | + | 0.0841110i | −0.985390 | − | 0.170313i | \(-0.945522\pi\) |
0.967093 | + | 0.254424i | \(0.0818858\pi\) | |||||||
\(464\) | 6.77284 | − | 0.973787i | 0.314421 | − | 0.0452069i | ||||
\(465\) | −24.2258 | + | 0.688167i | −1.12345 | + | 0.0319130i | ||||
\(466\) | 2.63434 | − | 18.3222i | 0.122033 | − | 0.848761i | ||||
\(467\) | −15.7897 | + | 28.9167i | −0.730662 | + | 1.33811i | 0.202726 | + | 0.979236i | \(0.435020\pi\) |
−0.933387 | + | 0.358871i | \(0.883162\pi\) | |||||||
\(468\) | −0.606730 | + | 0.131986i | −0.0280461 | + | 0.00610106i | ||||
\(469\) | 1.58408 | + | 0.723425i | 0.0731460 | + | 0.0334046i | ||||
\(470\) | 1.18157 | + | 11.8002i | 0.0545017 | + | 0.544303i | ||||
\(471\) | −17.8545 | + | 15.4710i | −0.822692 | + | 0.712867i | ||||
\(472\) | 0.924854 | − | 12.9312i | 0.0425699 | − | 0.595205i | ||||
\(473\) | −12.1254 | + | 6.62095i | −0.557525 | + | 0.304431i | ||||
\(474\) | −12.4121 | + | 27.1787i | −0.570107 | + | 1.24836i | ||||
\(475\) | −10.3963 | + | 2.10308i | −0.477017 | + | 0.0964960i | ||||
\(476\) | −0.225790 | + | 0.0662978i | −0.0103490 | + | 0.00303875i | ||||
\(477\) | −0.496388 | − | 0.663096i | −0.0227280 | − | 0.0303611i | ||||
\(478\) | −9.67369 | − | 3.60810i | −0.442464 | − | 0.165031i | ||||
\(479\) | 3.56848 | + | 24.8193i | 0.163048 | + | 1.13402i | 0.892847 | + | 0.450361i | \(0.148705\pi\) |
−0.729799 | + | 0.683662i | \(0.760386\pi\) | |||||||
\(480\) | −2.74386 | + | 3.89096i | −0.125239 | + | 0.177597i | ||||
\(481\) | 1.82227 | + | 1.57901i | 0.0830886 | + | 0.0719967i | ||||
\(482\) | 1.87660 | − | 1.87660i | 0.0854769 | − | 0.0854769i | ||||
\(483\) | −11.9768 | − | 1.61877i | −0.544965 | − | 0.0736565i | ||||
\(484\) | 6.99127i | 0.317785i | ||||||||
\(485\) | −7.07957 | − | 14.4050i | −0.321467 | − | 0.654096i | ||||
\(486\) | −12.2697 | + | 7.88523i | −0.556563 | + | 0.357681i | ||||
\(487\) | 23.0359 | − | 30.7724i | 1.04386 | − | 1.39443i | 0.128538 | − | 0.991705i | \(-0.458972\pi\) |
0.915320 | − | 0.402726i | \(-0.131937\pi\) | |||||||
\(488\) | −4.60796 | + | 12.3544i | −0.208592 | + | 0.559258i | ||||
\(489\) | 27.5837 | + | 3.96594i | 1.24738 | + | 0.179346i | ||||
\(490\) | 1.42921 | − | 12.4384i | 0.0645649 | − | 0.561910i | ||||
\(491\) | −2.61519 | − | 1.68068i | −0.118022 | − | 0.0758480i | 0.480298 | − | 0.877105i | \(-0.340528\pi\) |
−0.598320 | + | 0.801257i | \(0.704165\pi\) | |||||||
\(492\) | −0.0525192 | + | 0.0195887i | −0.00236775 | + | 0.000883125i | ||||
\(493\) | 0.652007 | + | 1.19406i | 0.0293649 | + | 0.0537779i | ||||
\(494\) | 0.562439 | + | 0.649089i | 0.0253053 | + | 0.0292039i | ||||
\(495\) | 6.11734 | + | 3.11818i | 0.274954 | + | 0.140152i | ||||
\(496\) | 4.88412 | + | 1.43411i | 0.219303 | + | 0.0643933i | ||||
\(497\) | −5.16605 | − | 13.8507i | −0.231729 | − | 0.621289i | ||||
\(498\) | 1.26813 | + | 5.82948i | 0.0568261 | + | 0.261225i | ||||
\(499\) | 5.80099 | + | 19.7564i | 0.259688 | + | 0.884416i | 0.981360 | + | 0.192181i | \(0.0615559\pi\) |
−0.721672 | + | 0.692236i | \(0.756626\pi\) | |||||||
\(500\) | 5.91422 | − | 9.48799i | 0.264492 | − | 0.424316i | ||||
\(501\) | 13.5010 | + | 29.5630i | 0.603179 | + | 1.32078i | ||||
\(502\) | −2.54456 | − | 1.90483i | −0.113569 | − | 0.0850169i | ||||
\(503\) | −10.7755 | − | 2.34407i | −0.480456 | − | 0.104517i | −0.0341865 | − | 0.999415i | \(-0.510884\pi\) |
−0.446269 | + | 0.894899i | \(0.647248\pi\) | |||||||
\(504\) | 1.18867 | − | 1.37180i | 0.0529477 | − | 0.0611050i | ||||
\(505\) | −6.66111 | + | 2.70232i | −0.296416 | + | 0.120251i | ||||
\(506\) | −1.96167 | + | 9.39961i | −0.0872070 | + | 0.417864i | ||||
\(507\) | 19.3260 | + | 19.3260i | 0.858298 | + | 0.858298i | ||||
\(508\) | −0.0162103 | − | 0.226649i | −0.000719214 | − | 0.0100559i | ||||
\(509\) | 13.4035 | + | 20.8563i | 0.594102 | + | 0.924440i | 0.999945 | + | 0.0104974i | \(0.00334147\pi\) |
−0.405843 | + | 0.913943i | \(0.633022\pi\) | |||||||
\(510\) | −0.915505 | − | 0.240802i | −0.0405392 | − | 0.0106629i | ||||
\(511\) | 14.2627 | − | 6.51356i | 0.630945 | − | 0.288143i | ||||
\(512\) | 0.800541 | − | 0.599278i | 0.0353793 | − | 0.0264846i | ||||
\(513\) | 5.81319 | + | 3.17424i | 0.256659 | + | 0.140146i | ||||
\(514\) | 1.36434 | − | 2.12295i | 0.0601785 | − | 0.0936395i | ||||
\(515\) | −28.3930 | + | 26.0505i | −1.25115 | + | 1.14792i | ||||
\(516\) | −4.13920 | + | 14.0968i | −0.182218 | + | 0.620578i | ||||
\(517\) | −10.5917 | − | 0.757536i | −0.465824 | − | 0.0333164i | ||||
\(518\) | −7.03082 | − | 0.502854i | −0.308916 | − | 0.0220941i | ||||
\(519\) | −5.53659 | + | 18.8559i | −0.243029 | + | 0.827682i | ||||
\(520\) | −0.904462 | − | 0.0389169i | −0.0396633 | − | 0.00170662i | ||||
\(521\) | 8.11785 | − | 12.6316i | 0.355650 | − | 0.553401i | −0.616621 | − | 0.787260i | \(-0.711499\pi\) |
0.972271 | + | 0.233859i | \(0.0751353\pi\) | |||||||
\(522\) | −9.21040 | − | 5.02926i | −0.403128 | − | 0.220125i | ||||
\(523\) | 23.1036 | − | 17.2952i | 1.01025 | − | 0.756264i | 0.0402062 | − | 0.999191i | \(-0.487199\pi\) |
0.970045 | + | 0.242927i | \(0.0781076\pi\) | |||||||
\(524\) | 10.9773 | − | 5.01316i | 0.479545 | − | 0.219001i | ||||
\(525\) | −7.69753 | + | 9.97569i | −0.335948 | + | 0.435375i | ||||
\(526\) | 13.3697 | + | 20.8036i | 0.582945 | + | 0.907081i | ||||
\(527\) | 0.0722021 | + | 1.00952i | 0.00314517 | + | 0.0439753i | ||||
\(528\) | −3.01448 | − | 3.01448i | −0.131189 | − | 0.131189i | ||||
\(529\) | 9.19939 | − | 21.0801i | 0.399974 | − | 0.916527i | ||||
\(530\) | −0.453997 | − | 1.11909i | −0.0197204 | − | 0.0486101i | ||||
\(531\) | −13.0204 | + | 15.0263i | −0.565036 | + | 0.652086i | ||||
\(532\) | −2.45338 | − | 0.533699i | −0.106367 | − | 0.0231388i | ||||
\(533\) | −0.00853234 | − | 0.00638723i | −0.000369577 | − | 0.000276662i | ||||
\(534\) | −1.12058 | − | 2.45373i | −0.0484923 | − | 0.106183i | ||||
\(535\) | 8.84972 | + | 5.33852i | 0.382607 | + | 0.230805i | ||||
\(536\) | −0.414537 | − | 1.41178i | −0.0179053 | − | 0.0609798i | ||||
\(537\) | −8.64562 | − | 39.7433i | −0.373086 | − | 1.71505i | ||||
\(538\) | −3.96132 | − | 10.6207i | −0.170784 | − | 0.457891i | ||||
\(539\) | 10.7566 | + | 3.15841i | 0.463317 | + | 0.136042i | ||||
\(540\) | −6.64008 | + | 2.15631i | −0.285744 | + | 0.0927928i | ||||
\(541\) | −18.6599 | − | 21.5347i | −0.802252 | − | 0.925848i | 0.196251 | − | 0.980554i | \(-0.437123\pi\) |
−0.998503 | + | 0.0547059i | \(0.982578\pi\) | |||||||
\(542\) | 6.53162 | + | 11.9618i | 0.280557 | + | 0.513802i | ||||
\(543\) | 41.3786 | − | 15.4334i | 1.77572 | − | 0.662311i | ||||
\(544\) | 0.167265 | + | 0.107494i | 0.00717141 | + | 0.00460879i | ||||
\(545\) | 26.1488 | − | 20.7590i | 1.12009 | − | 0.889217i | ||||
\(546\) | 1.00989 | + | 0.145200i | 0.0432192 | + | 0.00621398i | ||||
\(547\) | −0.779899 | + | 2.09099i | −0.0333461 | + | 0.0894043i | −0.952556 | − | 0.304364i | \(-0.901556\pi\) |
0.919210 | + | 0.393768i | \(0.128829\pi\) | |||||||
\(548\) | 11.0981 | − | 14.8254i | 0.474089 | − | 0.633309i | ||||
\(549\) | 17.0122 | − | 10.9331i | 0.726065 | − | 0.466614i | ||||
\(550\) | 7.46921 | + | 6.66553i | 0.318488 | + | 0.284219i | ||||
\(551\) | 14.5156i | 0.618383i | ||||||||
\(552\) | 5.59318 | + | 8.54345i | 0.238061 | + | 0.363633i | ||||
\(553\) | 11.7438 | − | 11.7438i | 0.499397 | − | 0.499397i | ||||
\(554\) | −8.74328 | − | 7.57610i | −0.371467 | − | 0.321878i | ||||
\(555\) | −23.1732 | − | 16.3415i | −0.983646 | − | 0.693656i | ||||
\(556\) | −2.61532 | − | 18.1900i | −0.110914 | − | 0.771426i | ||||
\(557\) | 0.0623770 | + | 0.0232654i | 0.00264300 | + | 0.000985788i | 0.350785 | − | 0.936456i | \(-0.385915\pi\) |
−0.348142 | + | 0.937442i | \(0.613187\pi\) | |||||||
\(558\) | −4.67845 | − | 6.24967i | −0.198054 | − | 0.264570i | ||||
\(559\) | −2.68043 | + | 0.787044i | −0.113370 | + | 0.0332884i | ||||
\(560\) | 2.18484 | − | 1.49344i | 0.0923264 | − | 0.0631093i | ||||
\(561\) | 0.352117 | − | 0.771030i | 0.0148664 | − | 0.0325529i | ||||
\(562\) | −7.52728 | + | 4.11021i | −0.317519 | + | 0.173379i | ||||
\(563\) | 0.421265 | − | 5.89005i | 0.0177542 | − | 0.248236i | −0.980823 | − | 0.194903i | \(-0.937561\pi\) |
0.998577 | − | 0.0533333i | \(-0.0169846\pi\) | |||||||
\(564\) | −8.53441 | + | 7.39511i | −0.359364 | + | 0.311390i | ||||
\(565\) | 3.92683 | + | 3.21201i | 0.165203 | + | 0.135130i | ||||
\(566\) | −13.8779 | − | 6.33780i | −0.583330 | − | 0.266398i | ||||
\(567\) | 13.0093 | − | 2.83000i | 0.546339 | − | 0.118849i | ||||
\(568\) | −5.98594 | + | 10.9624i | −0.251164 | + | 0.459973i | ||||
\(569\) | −5.73213 | + | 39.8678i | −0.240303 | + | 1.67135i | 0.410317 | + | 0.911943i | \(0.365418\pi\) |
−0.650620 | + | 0.759403i | \(0.725491\pi\) | |||||||
\(570\) | −7.34182 | − | 6.93623i | −0.307515 | − | 0.290527i | ||||
\(571\) | 26.2360 | − | 3.77217i | 1.09794 | − | 0.157860i | 0.430550 | − | 0.902567i | \(-0.358319\pi\) |
0.667392 | + | 0.744706i | \(0.267410\pi\) | |||||||
\(572\) | 0.172307 | − | 0.792082i | 0.00720451 | − | 0.0331186i | ||||
\(573\) | −14.0750 | + | 1.00666i | −0.587990 | + | 0.0420539i | ||||
\(574\) | 0.0311575 | 0.00130049 | ||||||||
\(575\) | −14.2519 | − | 19.2843i | −0.594345 | − | 0.804210i | ||||
\(576\) | −1.53366 | −0.0639025 | ||||||||
\(577\) | 6.34303 | − | 0.453663i | 0.264064 | − | 0.0188862i | 0.0613205 | − | 0.998118i | \(-0.480469\pi\) |
0.202743 | + | 0.979232i | \(0.435014\pi\) | |||||||
\(578\) | 3.60521 | − | 16.5729i | 0.149957 | − | 0.689340i | ||||
\(579\) | 39.5625 | − | 5.68822i | 1.64416 | − | 0.236395i | ||||
\(580\) | −11.1218 | − | 10.5074i | −0.461806 | − | 0.436294i | ||||
\(581\) | 0.471933 | − | 3.28237i | 0.0195791 | − | 0.136176i | ||||
\(582\) | 7.32476 | − | 13.4143i | 0.303621 | − | 0.556041i | ||||
\(583\) | 1.05664 | − | 0.229858i | 0.0437616 | − | 0.00951975i | ||||
\(584\) | −12.0508 | − | 5.50343i | −0.498667 | − | 0.227734i | ||||
\(585\) | 1.07469 | + | 0.879060i | 0.0444330 | + | 0.0363447i | ||||
\(586\) | 24.5845 | − | 21.3026i | 1.01558 | − | 0.880004i | ||||
\(587\) | −2.16085 | + | 30.2126i | −0.0891879 | + | 1.24701i | 0.733964 | + | 0.679188i | \(0.237668\pi\) |
−0.823152 | + | 0.567821i | \(0.807787\pi\) | |||||||
\(588\) | 10.4638 | − | 5.71365i | 0.431518 | − | 0.235627i | ||||
\(589\) | −4.48587 | + | 9.82267i | −0.184837 | + | 0.404736i | ||||
\(590\) | −23.9321 | + | 16.3587i | −0.985268 | + | 0.673476i | ||||
\(591\) | 15.4205 | − | 4.52787i | 0.634316 | − | 0.186252i | ||||
\(592\) | 3.56909 | + | 4.76774i | 0.146689 | + | 0.195953i | ||||
\(593\) | −40.0569 | − | 14.9405i | −1.64494 | − | 0.613531i | −0.655078 | − | 0.755562i | \(-0.727364\pi\) |
−0.989862 | + | 0.142031i | \(0.954637\pi\) | |||||||
\(594\) | −0.889637 | − | 6.18756i | −0.0365023 | − | 0.253879i | ||||
\(595\) | 0.430025 | + | 0.303249i | 0.0176293 | + | 0.0124320i | ||||
\(596\) | −1.71737 | − | 1.48811i | −0.0703462 | − | 0.0609553i | ||||
\(597\) | −21.6562 | + | 21.6562i | −0.886330 | + | 0.886330i | ||||
\(598\) | −0.791628 | + | 1.77294i | −0.0323721 | + | 0.0725010i | ||||
\(599\) | − | 5.04783i | − | 0.206249i | −0.994668 | − | 0.103124i | \(-0.967116\pi\) | ||
0.994668 | − | 0.103124i | \(-0.0328840\pi\) | |||||||
\(600\) | 10.6290 | − | 0.604351i | 0.433928 | − | 0.0246725i | ||||
\(601\) | −23.9329 | + | 15.3807i | −0.976242 | + | 0.627393i | −0.928447 | − | 0.371465i | \(-0.878856\pi\) |
−0.0477949 | + | 0.998857i | \(0.515219\pi\) | |||||||
\(602\) | 4.89405 | − | 6.53768i | 0.199466 | − | 0.266456i | ||||
\(603\) | −0.788602 | + | 2.11432i | −0.0321144 | + | 0.0861019i | ||||
\(604\) | 6.98726 | + | 1.00462i | 0.284308 | + | 0.0408773i | ||||
\(605\) | 12.2438 | − | 9.72006i | 0.497779 | − | 0.395176i | ||||
\(606\) | −5.75835 | − | 3.70067i | −0.233917 | − | 0.150329i | ||||
\(607\) | 25.8387 | − | 9.63734i | 1.04876 | − | 0.391168i | 0.234774 | − | 0.972050i | \(-0.424565\pi\) |
0.813987 | + | 0.580882i | \(0.197292\pi\) | |||||||
\(608\) | 1.01667 | + | 1.86190i | 0.0412315 | + | 0.0755098i | ||||
\(609\) | 11.2920 | + | 13.0317i | 0.457576 | + | 0.528071i | ||||
\(610\) | 28.0427 | − | 9.10662i | 1.13542 | − | 0.368716i | ||||
\(611\) | −2.06025 | − | 0.604944i | −0.0833488 | − | 0.0244734i | ||||
\(612\) | −0.106564 | − | 0.285708i | −0.00430758 | − | 0.0115491i | ||||
\(613\) | 6.63436 | + | 30.4977i | 0.267959 | + | 1.23179i | 0.892590 | + | 0.450869i | \(0.148886\pi\) |
−0.624631 | + | 0.780920i | \(0.714751\pi\) | |||||||
\(614\) | 1.12906 | + | 3.84523i | 0.0455653 | + | 0.155181i | ||||
\(615\) | 0.107324 | + | 0.0647422i | 0.00432771 | + | 0.00261066i | ||||
\(616\) | 0.984398 | + | 2.15553i | 0.0396625 | + | 0.0868488i | ||||
\(617\) | −3.04636 | − | 2.28048i | −0.122642 | − | 0.0918086i | 0.536196 | − | 0.844093i | \(-0.319861\pi\) |
−0.658838 | + | 0.752285i | \(0.728952\pi\) | |||||||
\(618\) | −35.8535 | − | 7.79946i | −1.44224 | − | 0.313740i | ||||
\(619\) | 9.92087 | − | 11.4493i | 0.398754 | − | 0.460186i | −0.520494 | − | 0.853865i | \(-0.674252\pi\) |
0.919248 | + | 0.393679i | \(0.128798\pi\) | |||||||
\(620\) | −4.27892 | − | 10.5474i | −0.171845 | − | 0.423593i | ||||
\(621\) | −0.941874 | + | 14.9438i | −0.0377961 | + | 0.599676i | ||||
\(622\) | −20.7733 | − | 20.7733i | −0.832934 | − | 0.832934i | ||||
\(623\) | 0.106967 | + | 1.49559i | 0.00428554 | + | 0.0599197i | ||||
\(624\) | −0.466058 | − | 0.725201i | −0.0186573 | − | 0.0290313i | ||||
\(625\) | −24.8389 | + | 2.83376i | −0.993555 | + | 0.113351i | ||||
\(626\) | 24.8913 | − | 11.3675i | 0.994855 | − | 0.454335i | ||||
\(627\) | 7.23988 | − | 5.41971i | 0.289133 | − | 0.216442i | ||||
\(628\) | −9.73825 | − | 5.31749i | −0.388599 | − | 0.212191i | ||||
\(629\) | −0.640199 | + | 0.996170i | −0.0255264 | + | 0.0397199i | ||||
\(630\) | −4.05506 | − | 0.174480i | −0.161557 | − | 0.00695144i | ||||
\(631\) | 7.90977 | − | 26.9382i | 0.314883 | − | 1.07239i | −0.638247 | − | 0.769831i | \(-0.720340\pi\) |
0.953130 | − | 0.302561i | \(-0.0978416\pi\) | |||||||
\(632\) | −13.9969 | − | 1.00108i | −0.556765 | − | 0.0398207i | ||||
\(633\) | 4.36765 | + | 0.312380i | 0.173598 | + | 0.0124160i | ||||
\(634\) | −6.89212 | + | 23.4724i | −0.273721 | + | 0.932209i | ||||
\(635\) | −0.374392 | + | 0.343502i | −0.0148573 | + | 0.0136315i | ||||
\(636\) | 0.621723 | − | 0.967420i | 0.0246529 | − | 0.0383607i | ||||
\(637\) | 1.98962 | + | 1.08641i | 0.0788316 | + | 0.0430453i | ||||
\(638\) | 10.9673 | − | 8.21005i | 0.434201 | − | 0.325039i | ||||
\(639\) | 17.4247 | − | 7.95760i | 0.689311 | − | 0.314798i | ||||
\(640\) | −2.16251 | − | 0.568798i | −0.0854809 | − | 0.0224837i | ||||
\(641\) | −21.6529 | − | 33.6925i | −0.855237 | − | 1.33077i | −0.942368 | − | 0.334577i | \(-0.891406\pi\) |
0.0871317 | − | 0.996197i | \(-0.472230\pi\) | |||||||
\(642\) | 0.702083 | + | 9.81641i | 0.0277090 | + | 0.387423i | ||||
\(643\) | −3.27418 | − | 3.27418i | −0.129121 | − | 0.129121i | 0.639593 | − | 0.768714i | \(-0.279103\pi\) |
−0.768714 | + | 0.639593i | \(0.779103\pi\) | |||||||
\(644\) | −1.25339 | − | 5.53597i | −0.0493905 | − | 0.218148i | ||||
\(645\) | 30.4425 | − | 12.3501i | 1.19867 | − | 0.486283i | ||||
\(646\) | −0.276214 | + | 0.318768i | −0.0108675 | + | 0.0125418i | ||||
\(647\) | 32.6377 | + | 7.09989i | 1.28312 | + | 0.279126i | 0.801891 | − | 0.597470i | \(-0.203827\pi\) |
0.481228 | + | 0.876595i | \(0.340191\pi\) | |||||||
\(648\) | −9.00518 | − | 6.74119i | −0.353757 | − | 0.264819i | ||||
\(649\) | −10.7828 | − | 23.6110i | −0.423261 | − | 0.926813i | ||||
\(650\) | 1.18933 | + | 1.63808i | 0.0466494 | + | 0.0642509i | ||||
\(651\) | 3.61402 | + | 12.3082i | 0.141645 | + | 0.482397i | ||||
\(652\) | 2.78204 | + | 12.7889i | 0.108953 | + | 0.500850i | ||||
\(653\) | 0.654698 | + | 1.75531i | 0.0256203 | + | 0.0686907i | 0.949130 | − | 0.314884i | \(-0.101966\pi\) |
−0.923510 | + | 0.383575i | \(0.874693\pi\) | |||||||
\(654\) | 30.5042 | + | 8.95684i | 1.19281 | + | 0.350240i | ||||
\(655\) | −24.0414 | − | 12.2546i | −0.939374 | − | 0.478826i | ||||
\(656\) | −0.0172396 | − | 0.0198955i | −0.000673092 | − | 0.000776790i | ||||
\(657\) | 9.73737 | + | 17.8327i | 0.379891 | + | 0.695718i | ||||
\(658\) | 5.88129 | − | 2.19361i | 0.229276 | − | 0.0855157i | ||||
\(659\) | −32.8567 | − | 21.1157i | −1.27992 | − | 0.822552i | −0.289038 | − | 0.957317i | \(-0.593336\pi\) |
−0.990878 | + | 0.134765i | \(0.956972\pi\) | |||||||
\(660\) | −1.08817 | + | 9.47033i | −0.0423568 | + | 0.368632i | ||||
\(661\) | −19.9226 | − | 2.86444i | −0.774901 | − | 0.111414i | −0.256491 | − | 0.966546i | \(-0.582567\pi\) |
−0.518409 | + | 0.855133i | \(0.673476\pi\) | |||||||
\(662\) | 2.31520 | − | 6.20730i | 0.0899830 | − | 0.241254i | ||||
\(663\) | 0.102716 | − | 0.137212i | 0.00398915 | − | 0.00532887i | ||||
\(664\) | −2.35707 | + | 1.51480i | −0.0914721 | + | 0.0587855i | ||||
\(665\) | 2.47630 | + | 5.03859i | 0.0960268 | + | 0.195388i | ||||
\(666\) | − | 9.13394i | − | 0.353933i | ||||||
\(667\) | −29.7336 | + | 13.8839i | −1.15129 | + | 0.537588i | ||||
\(668\) | −10.7930 | + | 10.7930i | −0.417595 | + | 0.417595i | ||||
\(669\) | 29.0842 | + | 25.2016i | 1.12446 | + | 0.974351i | ||||
\(670\) | −1.89611 | + | 2.68880i | −0.0732531 | + | 0.103877i | ||||
\(671\) | 3.75716 | + | 26.1316i | 0.145043 | + | 1.00880i | ||||
\(672\) | 2.36116 | + | 0.880667i | 0.0910837 | + | 0.0339725i | ||||
\(673\) | −7.34383 | − | 9.81021i | −0.283084 | − | 0.378156i | 0.636350 | − | 0.771400i | \(-0.280443\pi\) |
−0.919434 | + | 0.393245i | \(0.871353\pi\) | |||||||
\(674\) | 23.4472 | − | 6.88472i | 0.903153 | − | 0.265190i | ||||
\(675\) | 13.0081 | + | 8.63078i | 0.500683 | + | 0.332199i | ||||
\(676\) | −5.33230 | + | 11.6761i | −0.205089 | + | 0.449081i | ||||
\(677\) | 3.75147 | − | 2.04846i | 0.144181 | − | 0.0787287i | −0.405539 | − | 0.914078i | \(-0.632916\pi\) |
0.549720 | + | 0.835349i | \(0.314734\pi\) | |||||||
\(678\) | −0.344625 | + | 4.81848i | −0.0132352 | + | 0.185053i | ||||
\(679\) | −6.42052 | + | 5.56342i | −0.246397 | + | 0.213504i | ||||
\(680\) | −0.0442961 | − | 0.442380i | −0.00169868 | − | 0.0169645i | ||||
\(681\) | 32.2417 | + | 14.7243i | 1.23550 | + | 0.564235i | ||||
\(682\) | 9.95882 | − | 2.16641i | 0.381343 | − | 0.0829561i | ||||
\(683\) | 15.1646 | − | 27.7719i | 0.580257 | − | 1.06266i | −0.408447 | − | 0.912782i | \(-0.633930\pi\) |
0.988704 | − | 0.149880i | \(-0.0478886\pi\) | |||||||
\(684\) | 0.463019 | − | 3.22037i | 0.0177040 | − | 0.123134i | ||||
\(685\) | −41.3935 | + | 1.17584i | −1.58156 | + | 0.0449264i | ||||
\(686\) | −14.7600 | + | 2.12216i | −0.563538 | + | 0.0810245i | ||||
\(687\) | 7.54149 | − | 34.6677i | 0.287726 | − | 1.32265i | ||||
\(688\) | −6.88252 | + | 0.492247i | −0.262394 | + | 0.0187668i | ||||
\(689\) | 0.218661 | 0.00833031 | ||||||||
\(690\) | 7.18581 | − | 21.6734i | 0.273559 | − | 0.825091i | ||||
\(691\) | −5.81294 | −0.221135 | −0.110567 | − | 0.993869i | \(-0.535267\pi\) | ||||
−0.110567 | + | 0.993869i | \(0.535267\pi\) | |||||||
\(692\) | −9.20605 | + | 0.658430i | −0.349961 | + | 0.0250297i | ||||
\(693\) | 0.772520 | − | 3.55122i | 0.0293456 | − | 0.134900i | ||||
\(694\) | −19.8513 | + | 2.85418i | −0.753544 | + | 0.108343i | ||||
\(695\) | −28.2198 | + | 29.8699i | −1.07044 | + | 1.13303i | ||||
\(696\) | 2.07343 | − | 14.4210i | 0.0785930 | − | 0.546627i | ||||
\(697\) | 0.00250851 | − | 0.00459400i | 9.50166e−5 | − | 0.000174010i | ||||
\(698\) | 4.98809 | − | 1.08509i | 0.188802 | − | 0.0410714i | ||||
\(699\) | −35.8519 | − | 16.3730i | −1.35604 | − | 0.619284i | ||||
\(700\) | −5.65307 | − | 1.74995i | −0.213666 | − | 0.0661418i | ||||
\(701\) | −4.28349 | + | 3.71166i | −0.161785 | + | 0.140188i | −0.731991 | − | 0.681314i | \(-0.761409\pi\) |
0.570206 | + | 0.821502i | \(0.306863\pi\) | |||||||
\(702\) | 0.0901767 | − | 1.26083i | 0.00340350 | − | 0.0475871i | ||||
\(703\) | −11.0888 | + | 6.05494i | −0.418222 | + | 0.228366i | ||||
\(704\) | 0.831737 | − | 1.82125i | 0.0313473 | − | 0.0686409i | ||||
\(705\) | 24.8165 | + | 4.66473i | 0.934644 | + | 0.175684i | ||||
\(706\) | −35.2689 | + | 10.3559i | −1.32736 | + | 0.389749i | ||||
\(707\) | 2.28013 | + | 3.04590i | 0.0857531 | + | 0.114553i | ||||
\(708\) | −25.8634 | − | 9.64656i | −0.972007 | − | 0.362540i | ||||
\(709\) | −4.89751 | − | 34.0630i | −0.183930 | − | 1.27926i | −0.847358 | − | 0.531021i | \(-0.821808\pi\) |
0.663428 | − | 0.748240i | \(-0.269101\pi\) | |||||||
\(710\) | 27.5208 | − | 4.75808i | 1.03284 | − | 0.178568i | ||||
\(711\) | 16.2647 | + | 14.0934i | 0.609973 | + | 0.528545i | ||||
\(712\) | 0.895822 | − | 0.895822i | 0.0335723 | − | 0.0335723i | ||||
\(713\) | −24.4114 | + | 0.206415i | −0.914214 | + | 0.00773032i | ||||
\(714\) | 0.501056i | 0.0187516i | ||||||||
\(715\) | −1.62673 | + | 0.799483i | −0.0608362 | + | 0.0298990i | ||||
\(716\) | 16.0696 | − | 10.3273i | 0.600551 | − | 0.385950i | ||||
\(717\) | −13.1743 | + | 17.5988i | −0.492004 | + | 0.657241i | ||||
\(718\) | 4.97844 | − | 13.3477i | 0.185794 | − | 0.498132i | ||||
\(719\) | −40.9834 | − | 5.89252i | −1.52842 | − | 0.219754i | −0.673765 | − | 0.738946i | \(-0.735324\pi\) |
−0.854658 | + | 0.519192i | \(0.826233\pi\) | |||||||
\(720\) | 2.13227 | + | 2.68589i | 0.0794650 | + | 0.100097i | ||||
\(721\) | 17.1577 | + | 11.0266i | 0.638987 | + | 0.410652i | ||||
\(722\) | 13.5855 | − | 5.06713i | 0.505600 | − | 0.188579i | ||||
\(723\) | −2.70815 | − | 4.95961i | −0.100717 | − | 0.184450i | ||||
\(724\) | 13.5826 | + | 15.6752i | 0.504794 | + | 0.582564i | ||||
\(725\) | −2.93872 | + | 34.0860i | −0.109141 | + | 1.26592i | ||||
\(726\) | 14.2831 | + | 4.19389i | 0.530095 | + | 0.155650i | ||||
\(727\) | −11.6931 | − | 31.3505i | −0.433674 | − | 1.16272i | −0.951611 | − | 0.307306i | \(-0.900572\pi\) |
0.517937 | − | 0.855419i | \(-0.326700\pi\) | |||||||
\(728\) | 0.101855 | + | 0.468222i | 0.00377501 | + | 0.0173534i | ||||
\(729\) | −0.758348 | − | 2.58270i | −0.0280870 | − | 0.0956554i | ||||
\(730\) | 7.11632 | + | 28.7560i | 0.263387 | + | 1.06431i | ||||
\(731\) | −0.569921 | − | 1.24795i | −0.0210793 | − | 0.0461572i | ||||
\(732\) | 22.4757 | + | 16.8251i | 0.830727 | + | 0.621874i | ||||
\(733\) | 22.2456 | + | 4.83923i | 0.821660 | + | 0.178741i | 0.603695 | − | 0.797216i | \(-0.293695\pi\) |
0.217965 | + | 0.975957i | \(0.430058\pi\) | |||||||
\(734\) | 8.66684 | − | 10.0021i | 0.319899 | − | 0.369183i | ||||
\(735\) | −24.5542 | − | 10.3814i | −0.905695 | − | 0.382922i | ||||
\(736\) | −2.84147 | + | 3.86342i | −0.104738 | + | 0.142408i | ||||
\(737\) | −2.08312 | − | 2.08312i | −0.0767328 | − | 0.0767328i | ||||
\(738\) | 0.00288028 | + | 0.0402716i | 0.000106025 | + | 0.00148242i | ||||
\(739\) | 4.29850 | + | 6.68860i | 0.158123 | + | 0.246044i | 0.911271 | − | 0.411807i | \(-0.135102\pi\) |
−0.753148 | + | 0.657851i | \(0.771466\pi\) | |||||||
\(740\) | 3.38756 | − | 12.8792i | 0.124529 | − | 0.473448i | ||||
\(741\) | 1.66348 | − | 0.759684i | 0.0611093 | − | 0.0279077i | ||||
\(742\) | −0.511720 | + | 0.383069i | −0.0187858 | + | 0.0140629i | ||||
\(743\) | 18.9929 | + | 10.3709i | 0.696780 | + | 0.380471i | 0.788265 | − | 0.615336i | \(-0.210980\pi\) |
−0.0914850 | + | 0.995806i | \(0.529161\pi\) | |||||||
\(744\) | 5.85973 | − | 9.11792i | 0.214828 | − | 0.334279i | ||||
\(745\) | −0.218432 | + | 5.07655i | −0.00800274 | + | 0.185991i | ||||
\(746\) | 8.32387 | − | 28.3485i | 0.304758 | − | 1.03791i | ||||
\(747\) | 4.28614 | + | 0.306551i | 0.156822 | + | 0.0112161i | ||||
\(748\) | 0.397075 | + | 0.0283994i | 0.0145185 | + | 0.00103838i | ||||
\(749\) | 1.54120 | − | 5.24883i | 0.0563141 | − | 0.191788i | ||||
\(750\) | −15.8361 | − | 17.7743i | −0.578252 | − | 0.649026i | ||||
\(751\) | −5.47454 | + | 8.51855i | −0.199769 | + | 0.310846i | −0.926656 | − | 0.375911i | \(-0.877330\pi\) |
0.726887 | + | 0.686757i | \(0.240966\pi\) | |||||||
\(752\) | −4.65486 | − | 2.54175i | −0.169745 | − | 0.0926880i | ||||
\(753\) | −5.41798 | + | 4.05585i | −0.197442 | + | 0.147803i | ||||
\(754\) | 2.51992 | − | 1.15081i | 0.0917700 | − | 0.0419100i | ||||
\(755\) | −7.95511 | − | 13.6335i | −0.289516 | − | 0.496173i | ||||
\(756\) | 1.99780 | + | 3.10864i | 0.0726594 | + | 0.113060i | ||||
\(757\) | −0.896988 | − | 12.5415i | −0.0326016 | − | 0.455830i | −0.987365 | − | 0.158463i | \(-0.949346\pi\) |
0.954763 | − | 0.297367i | \(-0.0961084\pi\) | |||||||
\(758\) | −17.8460 | − | 17.8460i | −0.648195 | − | 0.648195i | ||||
\(759\) | 18.0266 | + | 9.64628i | 0.654322 | + | 0.350138i | ||||
\(760\) | 1.84723 | − | 4.36911i | 0.0670061 | − | 0.158484i | ||||
\(761\) | −8.34254 | + | 9.62781i | −0.302417 | + | 0.349008i | −0.886536 | − | 0.462661i | \(-0.846895\pi\) |
0.584119 | + | 0.811668i | \(0.301440\pi\) | |||||||
\(762\) | −0.472766 | − | 0.102844i | −0.0171265 | − | 0.00372564i | ||||
\(763\) | −14.1469 | − | 10.5902i | −0.512153 | − | 0.383393i | ||||
\(764\) | −2.75304 | − | 6.02833i | −0.0996016 | − | 0.218097i | ||||
\(765\) | −0.352202 | + | 0.583848i | −0.0127339 | + | 0.0211091i | ||||
\(766\) | −3.09427 | − | 10.5381i | −0.111801 | − | 0.380758i | ||||
\(767\) | −1.11569 | − | 5.12875i | −0.0402853 | − | 0.185189i | ||||
\(768\) | −0.744093 | − | 1.99499i | −0.0268501 | − | 0.0719880i | ||||
\(769\) | −38.9331 | − | 11.4318i | −1.40396 | − | 0.412241i | −0.509921 | − | 0.860221i | \(-0.670325\pi\) |
−0.894043 | + | 0.447980i | \(0.852144\pi\) | |||||||
\(770\) | 2.40634 | − | 4.72083i | 0.0867186 | − | 0.170127i | ||||
\(771\) | −3.51874 | − | 4.06084i | −0.126724 | − | 0.146248i | ||||
\(772\) | 8.99629 | + | 16.4755i | 0.323783 | + | 0.592965i | ||||
\(773\) | −5.10843 | + | 1.90535i | −0.183738 | + | 0.0685306i | −0.439649 | − | 0.898170i | \(-0.644897\pi\) |
0.255911 | + | 0.966700i | \(0.417624\pi\) | |||||||
\(774\) | 8.90248 | + | 5.72128i | 0.319993 | + | 0.205647i | ||||
\(775\) | −12.5225 | + | 22.1578i | −0.449822 | + | 0.795932i | ||||
\(776\) | 7.10501 | + | 1.02155i | 0.255055 | + | 0.0366714i | ||||
\(777\) | −5.24495 | + | 14.0622i | −0.188161 | + | 0.504480i | ||||
\(778\) | 16.0469 | − | 21.4361i | 0.575308 | − | 0.768521i | ||||
\(779\) | 0.0469812 | − | 0.0301930i | 0.00168328 | − | 0.00108178i | ||||
\(780\) | −0.622072 | + | 1.82446i | −0.0222737 | + | 0.0653262i | ||||
\(781\) | 25.0077i | 0.894848i | ||||||||
\(782\) | −0.917158 | − | 0.260899i | −0.0327975 | − | 0.00932973i | ||||
\(783\) | 15.1063 | − | 15.1063i | 0.539855 | − | 0.539855i | ||||
\(784\) | 4.23161 | + | 3.66671i | 0.151129 | + | 0.130954i | ||||
\(785\) | 4.22675 | + | 24.4475i | 0.150859 | + | 0.872569i | ||||
\(786\) | −3.65682 | − | 25.4337i | −0.130434 | − | 0.907192i | ||||
\(787\) | 44.9559 | + | 16.7677i | 1.60251 | + | 0.597704i | 0.982396 | − | 0.186811i | \(-0.0598152\pi\) |
0.620110 | + | 0.784515i | \(0.287088\pi\) | |||||||
\(788\) | 4.52336 | + | 6.04250i | 0.161138 | + | 0.215255i | ||||
\(789\) | 50.5217 | − | 14.8345i | 1.79862 | − | 0.528123i | ||||
\(790\) | 17.7069 | + | 25.9044i | 0.629982 | + | 0.921638i | ||||
\(791\) | 1.11548 | − | 2.44255i | 0.0396618 | − | 0.0868472i | ||||
\(792\) | −2.69506 | + | 1.47161i | −0.0957648 | + | 0.0522915i | ||||
\(793\) | −0.380838 | + | 5.32481i | −0.0135240 | + | 0.189090i | ||||
\(794\) | 2.53202 | − | 2.19400i | 0.0898579 | − | 0.0778623i | ||||
\(795\) | −2.55863 | + | 0.256198i | −0.0907451 | + | 0.00908642i | ||||
\(796\) | −13.0839 | − | 5.97524i | −0.463748 | − | 0.211787i | ||||
\(797\) | 45.0579 | − | 9.80176i | 1.59603 | − | 0.347196i | 0.675348 | − | 0.737499i | \(-0.263993\pi\) |
0.920686 | + | 0.390303i | \(0.127630\pi\) | |||||||
\(798\) | −2.56206 | + | 4.69207i | −0.0906961 | + | 0.166097i | ||||
\(799\) | 0.150072 | − | 1.04377i | 0.00530916 | − | 0.0369260i | ||||
\(800\) | 2.01044 | + | 4.57800i | 0.0710798 | + | 0.161857i | ||||
\(801\) | −1.92319 | + | 0.276513i | −0.0679526 | + | 0.00977011i | ||||
\(802\) | 0.652431 | − | 2.99918i | 0.0230382 | − | 0.105905i | ||||
\(803\) | −26.4574 | + | 1.89227i | −0.933661 | + | 0.0667768i | ||||
\(804\) | −3.13293 | −0.110490 | ||||||||
\(805\) | −7.95249 | + | 9.89179i | −0.280288 | + | 0.348640i | ||||
\(806\) | 2.06087 | 0.0725912 | ||||||||
\(807\) | −24.0743 | + | 1.72183i | −0.847455 | + | 0.0606112i | ||||
\(808\) | 0.683343 | − | 3.14128i | 0.0240399 | − | 0.110510i | ||||
\(809\) | −19.3351 | + | 2.77997i | −0.679786 | + | 0.0977385i | −0.473554 | − | 0.880765i | \(-0.657029\pi\) |
−0.206232 | + | 0.978503i | \(0.566120\pi\) | |||||||
\(810\) | 0.714223 | + | 25.1431i | 0.0250952 | + | 0.883438i | ||||
\(811\) | 1.04045 | − | 7.23648i | 0.0365351 | − | 0.254107i | −0.963366 | − | 0.268191i | \(-0.913574\pi\) |
0.999901 | + | 0.0140840i | \(0.00448324\pi\) | |||||||
\(812\) | −3.88115 | + | 7.10779i | −0.136202 | + | 0.249434i | ||||
\(813\) | 28.3559 | − | 6.16845i | 0.994486 | − | 0.216337i | ||||
\(814\) | 10.8467 | + | 4.95353i | 0.380177 | + | 0.173621i | ||||
\(815\) | 18.5291 | − | 22.6527i | 0.649047 | − | 0.793489i | ||||
\(816\) | 0.319948 | − | 0.277237i | 0.0112004 | − | 0.00970522i | ||||
\(817\) | 1.04425 | − | 14.6005i | 0.0365336 | − | 0.510806i | ||||
\(818\) | 6.92978 | − | 3.78394i | 0.242294 | − | 0.132302i | ||||
\(819\) | 0.305283 | − | 0.668477i | 0.0106675 | − | 0.0233585i | ||||
\(820\) | −0.0108745 | + | 0.0578526i | −0.000379753 | + | 0.00202030i | ||||
\(821\) | 22.8472 | − | 6.70856i | 0.797374 | − | 0.234130i | 0.142428 | − | 0.989805i | \(-0.454509\pi\) |
0.654947 | + | 0.755675i | \(0.272691\pi\) | |||||||
\(822\) | −23.6306 | − | 31.5668i | −0.824211 | − | 1.10102i | ||||
\(823\) | 6.74289 | + | 2.51497i | 0.235042 | + | 0.0876662i | 0.464225 | − | 0.885717i | \(-0.346333\pi\) |
−0.229183 | + | 0.973383i | \(0.573605\pi\) | |||||||
\(824\) | −2.45244 | − | 17.0571i | −0.0854347 | − | 0.594211i | ||||
\(825\) | 18.0982 | − | 11.2610i | 0.630099 | − | 0.392059i | ||||
\(826\) | 11.5960 | + | 10.0480i | 0.403476 | + | 0.349614i | ||||
\(827\) | 3.24669 | − | 3.24669i | 0.112898 | − | 0.112898i | −0.648401 | − | 0.761299i | \(-0.724562\pi\) |
0.761299 | + | 0.648401i | \(0.224562\pi\) | |||||||
\(828\) | 7.03946 | − | 2.13179i | 0.244638 | − | 0.0740848i | ||||
\(829\) | 9.95166i | 0.345636i | 0.984954 | + | 0.172818i | \(0.0552872\pi\) | ||||
−0.984954 | + | 0.172818i | \(0.944713\pi\) | |||||||
\(830\) | 5.92992 | + | 2.02188i | 0.205831 | + | 0.0701804i | ||||
\(831\) | −20.7228 | + | 13.3177i | −0.718865 | + | 0.461987i | ||||
\(832\) | 0.242625 | − | 0.324109i | 0.00841150 | − | 0.0112364i | ||||
\(833\) | −0.389052 | + | 1.04309i | −0.0134798 | + | 0.0361409i | ||||
\(834\) | −38.7308 | − | 5.56865i | −1.34114 | − | 0.192826i | ||||
\(835\) | 33.9075 | + | 3.89606i | 1.17342 | + | 0.134829i | ||||
\(836\) | 3.57314 | + | 2.29632i | 0.123580 | + | 0.0794198i | ||||
\(837\) | 14.8909 | − | 5.55401i | 0.514704 | − | 0.191975i | ||||
\(838\) | 4.75829 | + | 8.71416i | 0.164373 | + | 0.301026i | ||||
\(839\) | 3.93146 | + | 4.53715i | 0.135729 | + | 0.156640i | 0.819545 | − | 0.573015i | \(-0.194226\pi\) |
−0.683816 | + | 0.729655i | \(0.739681\pi\) | |||||||
\(840\) | −1.74045 | − | 5.35949i | −0.0600512 | − | 0.184920i | ||||
\(841\) | 17.0978 | + | 5.02037i | 0.589580 | + | 0.173116i | ||||
\(842\) | −4.75112 | − | 12.7383i | −0.163734 | − | 0.438989i | ||||
\(843\) | 3.88168 | + | 17.8438i | 0.133692 | + | 0.614572i | ||||
\(844\) | 0.579386 | + | 1.97321i | 0.0199433 | + | 0.0679207i | ||||
\(845\) | 27.8619 | − | 6.89504i | 0.958478 | − | 0.237197i | ||||
\(846\) | 3.37896 | + | 7.39888i | 0.116171 | + | 0.254379i | ||||
\(847\) | −6.62406 | − | 4.95871i | −0.227605 | − | 0.170383i | ||||
\(848\) | 0.527744 | + | 0.114804i | 0.0181228 | + | 0.00394238i | ||||
\(849\) | −21.2731 | + | 24.5504i | −0.730089 | + | 0.842568i | ||||
\(850\) | −0.713152 | + | 0.692623i | −0.0244609 | + | 0.0237568i | ||||
\(851\) | −23.0092 | − | 16.9228i | −0.788745 | − | 0.580106i | ||||
\(852\) | 18.8053 | + | 18.8053i | 0.644259 | + | 0.644259i | ||||
\(853\) | 2.25030 | + | 31.4633i | 0.0770488 | + | 1.07728i | 0.878034 | + | 0.478598i | \(0.158855\pi\) |
−0.800985 | + | 0.598684i | \(0.795690\pi\) | |||||||
\(854\) | −8.43722 | − | 13.1286i | −0.288716 | − | 0.449250i | ||||
\(855\) | −6.28355 | + | 3.66644i | −0.214893 | + | 0.125390i | ||||
\(856\) | −4.20438 | + | 1.92008i | −0.143703 | + | 0.0656268i | ||||
\(857\) | −4.45607 | + | 3.33577i | −0.152216 | + | 0.113948i | −0.672671 | − | 0.739941i | \(-0.734853\pi\) |
0.520455 | + | 0.853889i | \(0.325762\pi\) | |||||||
\(858\) | −1.51485 | − | 0.827172i | −0.0517162 | − | 0.0282392i | ||||
\(859\) | 7.29231 | − | 11.3471i | 0.248810 | − | 0.387157i | −0.694274 | − | 0.719711i | \(-0.744274\pi\) |
0.943084 | + | 0.332555i | \(0.107911\pi\) | |||||||
\(860\) | 10.4309 | + | 11.3689i | 0.355692 | + | 0.387677i | ||||
\(861\) | 0.0186906 | − | 0.0636544i | 0.000636975 | − | 0.00216934i | ||||
\(862\) | 4.06572 | + | 0.290786i | 0.138479 | + | 0.00990422i | ||||
\(863\) | 44.7562 | + | 3.20103i | 1.52352 | + | 0.108964i | 0.807814 | − | 0.589438i | \(-0.200651\pi\) |
0.715706 | + | 0.698402i | \(0.246105\pi\) | |||||||
\(864\) | 0.879622 | − | 2.99572i | 0.0299254 | − | 0.101916i | ||||
\(865\) | 13.9524 | + | 15.2071i | 0.474396 | + | 0.517056i | ||||
\(866\) | −16.7872 | + | 26.1214i | −0.570453 | + | 0.887643i | ||||
\(867\) | −31.6955 | − | 17.3071i | −1.07644 | − | 0.587779i | ||||
\(868\) | −4.82295 | + | 3.61042i | −0.163702 | + | 0.122546i | ||||
\(869\) | −25.5569 | + | 11.6714i | −0.866958 | + | 0.395927i | ||||
\(870\) | −28.1381 | + | 16.4185i | −0.953971 | + | 0.556641i | ||||
\(871\) | −0.322064 | − | 0.501141i | −0.0109127 | − | 0.0169805i | ||||
\(872\) | 1.06518 | + | 14.8931i | 0.0360714 | + | 0.504344i | ||||
\(873\) | −7.78434 | − | 7.78434i | −0.263460 | − | 0.263460i | ||||
\(874\) | −7.25454 | − | 7.13288i | −0.245388 | − | 0.241273i | ||||
\(875\) | 4.79486 | + | 12.3332i | 0.162096 | + | 0.416937i | ||||
\(876\) | −18.4725 | + | 21.3184i | −0.624127 | + | 0.720280i | ||||
\(877\) | 10.9768 | + | 2.38786i | 0.370661 | + | 0.0806323i | 0.394037 | − | 0.919094i | \(-0.371078\pi\) |
−0.0233767 | + | 0.999727i | \(0.507442\pi\) | |||||||
\(878\) | 19.7661 | + | 14.7967i | 0.667074 | + | 0.499365i | ||||
\(879\) | −28.7734 | − | 63.0049i | −0.970502 | − | 2.12510i | ||||
\(880\) | −4.34592 | + | 1.07549i | −0.146501 | + | 0.0362549i | ||||
\(881\) | 14.9751 | + | 51.0006i | 0.504525 | + | 1.71825i | 0.679495 | + | 0.733680i | \(0.262199\pi\) |
−0.174970 | + | 0.984574i | \(0.555983\pi\) | |||||||
\(882\) | −1.82536 | − | 8.39105i | −0.0614631 | − | 0.282541i | ||||
\(883\) | 5.04295 | + | 13.5207i | 0.169709 | + | 0.455007i | 0.993764 | − | 0.111502i | \(-0.0355662\pi\) |
−0.824055 | + | 0.566509i | \(0.808294\pi\) | |||||||
\(884\) | 0.0772371 | + | 0.0226789i | 0.00259776 | + | 0.000762772i | ||||
\(885\) | 19.0643 | + | 58.7062i | 0.640840 | + | 1.97339i | ||||
\(886\) | 0.723795 | + | 0.835303i | 0.0243164 | + | 0.0280626i | ||||
\(887\) | −4.66866 | − | 8.55001i | −0.156758 | − | 0.287081i | 0.787483 | − | 0.616337i | \(-0.211384\pi\) |
−0.944241 | + | 0.329256i | \(0.893202\pi\) | |||||||
\(888\) | 11.8815 | − | 4.43156i | 0.398716 | − | 0.148713i | ||||
\(889\) | 0.226242 | + | 0.145397i | 0.00758792 | + | 0.00487646i | ||||
\(890\) | −2.81432 | − | 0.323373i | −0.0943362 | − | 0.0108395i | ||||
\(891\) | −22.2930 | − | 3.20525i | −0.746845 | − | 0.107380i | ||||
\(892\) | −6.31623 | + | 16.9345i | −0.211483 | + | 0.567008i | ||||
\(893\) | 6.74247 | − | 9.00689i | 0.225628 | − | 0.301404i | ||||
\(894\) | −4.07040 | + | 2.61589i | −0.136134 | + | 0.0874883i | ||||
\(895\) | −40.4280 | − | 13.7844i | −1.35136 | − | 0.460762i | ||||
\(896\) | 1.18354i | 0.0395395i | ||||||||
\(897\) | 3.14723 | + | 2.68083i | 0.105083 | + | 0.0895104i | ||||
\(898\) | −5.32078 | + | 5.32078i | −0.177557 | + | 0.177557i | ||||
\(899\) | 26.3231 | + | 22.8091i | 0.877923 | + | 0.760725i | ||||
\(900\) | 1.73925 | − | 7.46845i | 0.0579751 | − | 0.248948i | ||||
\(901\) | 0.0152824 | + | 0.106291i | 0.000509130 | + | 0.00354108i | ||||
\(902\) | −0.0493853 | − | 0.0184198i | −0.00164435 | − | 0.000613311i | ||||
\(903\) | −10.4206 | − | 13.9203i | −0.346776 | − | 0.463238i | ||||
\(904\) | −2.17689 | + | 0.639191i | −0.0724021 | + | 0.0212592i | ||||
\(905\) | 8.56773 | − | 45.5806i | 0.284801 | − | 1.51515i | ||||
\(906\) | 6.24391 | − | 13.6723i | 0.207440 | − | 0.454231i | ||||
\(907\) | 9.48067 | − | 5.17683i | 0.314800 | − | 0.171894i | −0.314079 | − | 0.949397i | \(-0.601696\pi\) |
0.628879 | + | 0.777503i | \(0.283514\pi\) | |||||||
\(908\) | −1.18756 | + | 16.6042i | −0.0394105 | + | 0.551031i | ||||
\(909\) | −3.72609 | + | 3.22868i | −0.123587 | + | 0.107088i | ||||
\(910\) | 0.678382 | − | 0.829354i | 0.0224882 | − | 0.0274928i | ||||
\(911\) | −36.2764 | − | 16.5669i | −1.20189 | − | 0.548886i | −0.289095 | − | 0.957300i | \(-0.593354\pi\) |
−0.912797 | + | 0.408415i | \(0.866082\pi\) | |||||||
\(912\) | 4.41371 | − | 0.960144i | 0.146153 | − | 0.0317935i | ||||
\(913\) | −2.68850 | + | 4.92362i | −0.0889764 | + | 0.162948i | ||||
\(914\) | −1.53259 | + | 10.6594i | −0.0506936 | + | 0.352581i | ||||
\(915\) | −1.78260 | − | 62.7538i | −0.0589311 | − | 2.07458i | ||||
\(916\) | 16.4929 | − | 2.37132i | 0.544941 | − | 0.0783506i | ||||
\(917\) | −3.03603 | + | 13.9564i | −0.100259 | + | 0.460881i | ||||
\(918\) | 0.619197 | − | 0.0442858i | 0.0204365 | − | 0.00146165i | ||||
\(919\) | −41.2334 | −1.36016 | −0.680082 | − | 0.733136i | \(-0.738056\pi\) | ||||
−0.680082 | + | 0.733136i | \(0.738056\pi\) | |||||||
\(920\) | 10.7165 | − | 0.395127i | 0.353313 | − | 0.0130270i | ||||
\(921\) | 8.53307 | 0.281174 | ||||||||
\(922\) | −41.3391 | + | 2.95663i | −1.36143 | + | 0.0973714i | ||||
\(923\) | −1.07491 | + | 4.94126i | −0.0353809 | + | 0.162644i | ||||
\(924\) | 4.99424 | − | 0.718064i | 0.164299 | − | 0.0236226i | ||||
\(925\) | −27.2650 | + | 11.9735i | −0.896467 | + | 0.393686i | ||||
\(926\) | −0.263593 | + | 1.83333i | −0.00866220 | + | 0.0602469i | ||||
\(927\) | −12.6660 | + | 23.1960i | −0.416005 | + | 0.761855i | ||||
\(928\) | 6.68611 | − | 1.45448i | 0.219482 | − | 0.0477455i | ||||
\(929\) | 21.2418 | + | 9.70082i | 0.696922 | + | 0.318274i | 0.732186 | − | 0.681104i | \(-0.238500\pi\) |
−0.0352644 | + | 0.999378i | \(0.511227\pi\) | |||||||
\(930\) | −24.1150 | + | 2.41466i | −0.790763 | + | 0.0791800i | ||||
\(931\) | −8.97687 | + | 7.77851i | −0.294205 | + | 0.254930i | ||||
\(932\) | 1.32053 | − | 18.4635i | 0.0432556 | − | 0.604792i | ||||
\(933\) | −54.9011 | + | 29.9783i | −1.79738 | + | 0.981444i | ||||
\(934\) | −13.6866 | + | 29.9695i | −0.447839 | + | 0.980631i | ||||
\(935\) | −0.502324 | − | 0.734879i | −0.0164277 | − | 0.0240331i | ||||
\(936\) | −0.595769 | + | 0.174933i | −0.0194733 | + | 0.00571788i | ||||
\(937\) | −8.89055 | − | 11.8764i | −0.290442 | − | 0.387985i | 0.631460 | − | 0.775408i | \(-0.282456\pi\) |
−0.921902 | + | 0.387424i | \(0.873365\pi\) | |||||||
\(938\) | 1.63165 | + | 0.608574i | 0.0532753 | + | 0.0198707i | ||||
\(939\) | −8.29193 | − | 57.6716i | −0.270597 | − | 1.88204i | ||||
\(940\) | 2.02038 | + | 11.6859i | 0.0658974 | + | 0.381151i | ||||
\(941\) | −37.3314 | − | 32.3479i | −1.21697 | − | 1.05451i | −0.996872 | − | 0.0790318i | \(-0.974817\pi\) |
−0.220097 | − | 0.975478i | \(-0.570637\pi\) | |||||||
\(942\) | −16.7053 | + | 16.7053i | −0.544289 | + | 0.544289i | ||||
\(943\) | 0.106784 | + | 0.0673570i | 0.00347737 | + | 0.00219345i | ||||
\(944\) | − | 12.9642i | − | 0.421948i | ||||||
\(945\) | 2.66657 | − | 7.82073i | 0.0867436 | − | 0.254408i | ||||
\(946\) | −11.6221 | + | 7.46909i | −0.377868 | + | 0.242841i | ||||
\(947\) | −12.7484 | + | 17.0299i | −0.414268 | + | 0.553397i | −0.958336 | − | 0.285644i | \(-0.907793\pi\) |
0.544068 | + | 0.839041i | \(0.316883\pi\) | |||||||
\(948\) | −10.4416 | + | 27.9949i | −0.339126 | + | 0.909233i | ||||
\(949\) | −5.30903 | − | 0.763323i | −0.172338 | − | 0.0247785i | ||||
\(950\) | −10.2198 | + | 2.83939i | −0.331575 | + | 0.0921220i | ||||
\(951\) | 43.8195 | + | 28.1611i | 1.42094 | + | 0.913185i | ||||
\(952\) | −0.220485 | + | 0.0822365i | −0.00714595 | + | 0.00266530i | ||||
\(953\) | −0.321182 | − | 0.588201i | −0.0104041 | − | 0.0190537i | 0.872425 | − | 0.488748i | \(-0.162546\pi\) |
−0.882829 | + | 0.469694i | \(0.844364\pi\) | |||||||
\(954\) | −0.542428 | − | 0.625995i | −0.0175617 | − | 0.0202673i | ||||
\(955\) | −6.72977 | + | 13.2027i | −0.217770 | + | 0.427228i | ||||
\(956\) | −9.90644 | − | 2.90879i | −0.320397 | − | 0.0940771i | ||||
\(957\) | −10.1940 | − | 27.3312i | −0.329525 | − | 0.883491i | ||||
\(958\) | 5.32998 | + | 24.5015i | 0.172204 | + | 0.791608i | ||||
\(959\) | 6.17510 | + | 21.0304i | 0.199404 | + | 0.679109i | ||||
\(960\) | −2.45929 | + | 4.07679i | −0.0793732 | + | 0.131578i | ||||
\(961\) | −2.11393 | − | 4.62886i | −0.0681913 | − | 0.149318i | ||||
\(962\) | 1.93028 | + | 1.44499i | 0.0622346 | + | 0.0465883i | ||||
\(963\) | 6.92668 | + | 1.50681i | 0.223209 | + | 0.0485561i | ||||
\(964\) | 1.73795 | − | 2.00570i | 0.0559754 | − | 0.0645991i | ||||
\(965\) | 16.3457 | − | 38.6612i | 0.526187 | − | 1.24455i | ||||
\(966\) | −12.0618 | − | 0.760227i | −0.388082 | − | 0.0244599i | ||||
\(967\) | 35.7814 | + | 35.7814i | 1.15065 | + | 1.15065i | 0.986422 | + | 0.164232i | \(0.0525145\pi\) |
0.164232 | + | 0.986422i | \(0.447486\pi\) | |||||||
\(968\) | 0.498751 | + | 6.97345i | 0.0160305 | + | 0.224135i | ||||
\(969\) | 0.485546 | + | 0.755524i | 0.0155980 | + | 0.0242709i | ||||
\(970\) | −8.08917 | − | 13.8632i | −0.259728 | − | 0.445121i | ||||
\(971\) | 4.11286 | − | 1.87828i | 0.131988 | − | 0.0602769i | −0.348326 | − | 0.937373i | \(-0.613250\pi\) |
0.480314 | + | 0.877096i | \(0.340523\pi\) | |||||||
\(972\) | −11.6759 | + | 8.74044i | −0.374503 | + | 0.280350i | ||||
\(973\) | 19.0895 | + | 10.4237i | 0.611982 | + | 0.334168i | ||||
\(974\) | 20.7820 | − | 32.3374i | 0.665897 | − | 1.03616i | ||||
\(975\) | 4.06004 | − | 1.44714i | 0.130025 | − | 0.0463457i | ||||
\(976\) | −3.71486 | + | 12.6517i | −0.118910 | + | 0.404970i | ||||
\(977\) | 34.8661 | + | 2.49367i | 1.11546 | + | 0.0797796i | 0.616877 | − | 0.787060i | \(-0.288398\pi\) |
0.498588 | + | 0.866839i | \(0.333852\pi\) | |||||||
\(978\) | 27.7964 | + | 1.98804i | 0.888830 | + | 0.0635704i | ||||
\(979\) | 0.714623 | − | 2.43378i | 0.0228395 | − | 0.0777840i | ||||
\(980\) | 0.538219 | − | 12.5087i | 0.0171928 | − | 0.399575i | ||||
\(981\) | 12.3803 | − | 19.2641i | 0.395272 | − | 0.615056i | ||||
\(982\) | −2.72842 | − | 1.48983i | −0.0870675 | − | 0.0475424i | ||||
\(983\) | −36.9291 | + | 27.6448i | −1.17786 | + | 0.881732i | −0.994848 | − | 0.101380i | \(-0.967674\pi\) |
−0.183008 | + | 0.983111i | \(0.558583\pi\) | |||||||
\(984\) | −0.0509880 | + | 0.0232854i | −0.00162544 | + | 0.000742312i | ||||
\(985\) | 4.29330 | − | 16.3227i | 0.136796 | − | 0.520084i | ||||
\(986\) | 0.735529 | + | 1.14451i | 0.0234240 | + | 0.0364485i | ||||
\(987\) | −0.953474 | − | 13.3313i | −0.0303494 | − | 0.424340i | ||||
\(988\) | 0.607311 | + | 0.607311i | 0.0193211 | + | 0.0193211i | ||||
\(989\) | 30.9064 | − | 11.8261i | 0.982766 | − | 0.376049i | ||||
\(990\) | 6.32421 | + | 2.67383i | 0.200996 | + | 0.0849800i | ||||
\(991\) | −6.94872 | + | 8.01925i | −0.220733 | + | 0.254740i | −0.855306 | − | 0.518124i | \(-0.826631\pi\) |
0.634573 | + | 0.772863i | \(0.281176\pi\) | |||||||
\(992\) | 4.97398 | + | 1.08202i | 0.157924 | + | 0.0343543i | ||||
\(993\) | −11.2926 | − | 8.45355i | −0.358361 | − | 0.268265i | ||||
\(994\) | −6.14098 | − | 13.4469i | −0.194780 | − | 0.426509i | ||||
\(995\) | 7.72640 | + | 31.2213i | 0.244943 | + | 0.989781i | ||||
\(996\) | 1.68077 | + | 5.72416i | 0.0532571 | + | 0.181377i | ||||
\(997\) | 3.68000 | + | 16.9167i | 0.116547 | + | 0.535757i | 0.997985 | + | 0.0634567i | \(0.0202125\pi\) |
−0.881438 | + | 0.472300i | \(0.843424\pi\) | |||||||
\(998\) | 7.19561 | + | 19.2922i | 0.227773 | + | 0.610683i | ||||
\(999\) | 17.8415 | + | 5.23872i | 0.564479 | + | 0.165746i |
(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 | 230.2.l.a.7.11 | ✓ | 240 | |
5.3 | odd | 4 | inner | 230.2.l.a.53.5 | yes | 240 | |
23.10 | odd | 22 | inner | 230.2.l.a.217.5 | yes | 240 | |
115.33 | even | 44 | inner | 230.2.l.a.33.11 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.2.l.a.7.11 | ✓ | 240 | 1.1 | even | 1 | trivial | |
230.2.l.a.33.11 | yes | 240 | 115.33 | even | 44 | inner | |
230.2.l.a.53.5 | yes | 240 | 5.3 | odd | 4 | inner | |
230.2.l.a.217.5 | yes | 240 | 23.10 | odd | 22 | inner |