Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [123,2,Mod(11,123)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(123, base_ring=CyclotomicField(40))
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("123.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 123 = 3 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 123.o (of order \(40\), degree \(16\), 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: | \(0.982159944862\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{40})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{40}]$ |
Embedding invariants
Embedding label | 110.10 | ||
Character | \(\chi\) | \(=\) | 123.110 |
Dual form | 123.2.o.a.104.10 |
$q$-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 \(\left(\mathbb{Z}/123\mathbb{Z}\right)^\times\).
\(n\) | \(83\) | \(88\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{11}{40}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.750800 | − | 1.47353i | 0.530896 | − | 1.04194i | −0.457382 | − | 0.889271i | \(-0.651213\pi\) |
0.988277 | − | 0.152671i | \(-0.0487874\pi\) | |||||||
\(3\) | −0.248836 | − | 1.71408i | −0.143665 | − | 0.989626i | ||||
\(4\) | −0.432012 | − | 0.594614i | −0.216006 | − | 0.297307i | ||||
\(5\) | 0.103220 | − | 0.651706i | 0.0461614 | − | 0.291452i | −0.953798 | − | 0.300448i | \(-0.902864\pi\) |
0.999960 | + | 0.00899662i | \(0.00286375\pi\) | |||||||
\(6\) | −2.71257 | − | 0.920267i | −1.10740 | − | 0.375697i | ||||
\(7\) | −1.17916 | + | 1.38062i | −0.445679 | + | 0.521824i | −0.937082 | − | 0.349109i | \(-0.886484\pi\) |
0.491403 | + | 0.870932i | \(0.336484\pi\) | |||||||
\(8\) | 2.06630 | − | 0.327270i | 0.730548 | − | 0.115707i | ||||
\(9\) | −2.87616 | + | 0.853051i | −0.958720 | + | 0.284350i | ||||
\(10\) | −0.882808 | − | 0.641398i | −0.279169 | − | 0.202828i | ||||
\(11\) | 0.889901 | + | 1.45219i | 0.268315 | + | 0.437851i | 0.958213 | − | 0.286056i | \(-0.0923444\pi\) |
−0.689897 | + | 0.723907i | \(0.742344\pi\) | |||||||
\(12\) | −0.911717 | + | 0.888466i | −0.263190 | + | 0.256478i | ||||
\(13\) | −0.0823816 | + | 1.04676i | −0.0228485 | + | 0.290318i | 0.974868 | + | 0.222782i | \(0.0715138\pi\) |
−0.997717 | + | 0.0675362i | \(0.978486\pi\) | |||||||
\(14\) | 1.14906 | + | 2.77409i | 0.307100 | + | 0.741406i | ||||
\(15\) | −1.14276 | − | 0.0147600i | −0.295060 | − | 0.00381101i | ||||
\(16\) | 1.52338 | − | 4.68849i | 0.380845 | − | 1.17212i | ||||
\(17\) | 0.540868 | − | 2.25288i | 0.131180 | − | 0.546403i | −0.867611 | − | 0.497243i | \(-0.834346\pi\) |
0.998791 | − | 0.0491598i | \(-0.0156544\pi\) | |||||||
\(18\) | −0.902428 | + | 4.87857i | −0.212704 | + | 1.14989i | ||||
\(19\) | 0.405271 | + | 5.14945i | 0.0929754 | + | 1.18136i | 0.849568 | + | 0.527479i | \(0.176863\pi\) |
−0.756593 | + | 0.653886i | \(0.773137\pi\) | |||||||
\(20\) | −0.432105 | + | 0.220169i | −0.0966217 | + | 0.0492312i | ||||
\(21\) | 2.65991 | + | 1.67763i | 0.580439 | + | 0.366088i | ||||
\(22\) | 2.80797 | − | 0.220992i | 0.598662 | − | 0.0471157i | ||||
\(23\) | −1.68717 | − | 5.19256i | −0.351798 | − | 1.08272i | −0.957843 | − | 0.287293i | \(-0.907245\pi\) |
0.606044 | − | 0.795431i | \(-0.292755\pi\) | |||||||
\(24\) | −1.07514 | − | 3.46038i | −0.219462 | − | 0.706346i | ||||
\(25\) | 4.34122 | + | 1.41055i | 0.868243 | + | 0.282109i | ||||
\(26\) | 1.48057 | + | 0.907296i | 0.290364 | + | 0.177935i | ||||
\(27\) | 2.17789 | + | 4.71771i | 0.419135 | + | 0.907924i | ||||
\(28\) | 1.33034 | + | 0.104700i | 0.251411 | + | 0.0197865i | ||||
\(29\) | 0.192019 | + | 0.799816i | 0.0356570 | + | 0.148522i | 0.987359 | − | 0.158502i | \(-0.0506666\pi\) |
−0.951702 | + | 0.307025i | \(0.900667\pi\) | |||||||
\(30\) | −0.879735 | + | 1.67281i | −0.160617 | + | 0.305412i | ||||
\(31\) | −3.67231 | + | 5.05450i | −0.659566 | + | 0.907815i | −0.999467 | − | 0.0326463i | \(-0.989607\pi\) |
0.339901 | + | 0.940461i | \(0.389607\pi\) | |||||||
\(32\) | −2.80624 | − | 2.80624i | −0.496078 | − | 0.496078i | ||||
\(33\) | 2.26773 | − | 1.88672i | 0.394761 | − | 0.328436i | ||||
\(34\) | −2.91359 | − | 2.48844i | −0.499677 | − | 0.426765i | ||||
\(35\) | 0.778042 | + | 0.910970i | 0.131513 | + | 0.153982i | ||||
\(36\) | 1.74977 | + | 1.34168i | 0.291629 | + | 0.223613i | ||||
\(37\) | 4.58599 | − | 3.33192i | 0.753932 | − | 0.547764i | −0.143111 | − | 0.989707i | \(-0.545711\pi\) |
0.897043 | + | 0.441943i | \(0.145711\pi\) | |||||||
\(38\) | 7.89213 | + | 3.26903i | 1.28027 | + | 0.530306i | ||||
\(39\) | 1.81473 | − | 0.119262i | 0.290589 | − | 0.0190972i | ||||
\(40\) | − | 1.38040i | − | 0.218261i | ||||||
\(41\) | −6.39472 | + | 0.327972i | −0.998687 | + | 0.0512207i | ||||
\(42\) | 4.46908 | − | 2.65988i | 0.689595 | − | 0.410429i | ||||
\(43\) | −7.88106 | − | 4.01560i | −1.20185 | − | 0.612373i | −0.265728 | − | 0.964048i | \(-0.585612\pi\) |
−0.936122 | + | 0.351675i | \(0.885612\pi\) | |||||||
\(44\) | 0.479042 | − | 1.15651i | 0.0722183 | − | 0.174350i | ||||
\(45\) | 0.259060 | + | 1.96246i | 0.0386184 | + | 0.292547i | ||||
\(46\) | −8.91811 | − | 1.41249i | −1.31490 | − | 0.208260i | ||||
\(47\) | −5.81802 | + | 4.96906i | −0.848646 | + | 0.724812i | −0.963252 | − | 0.268599i | \(-0.913439\pi\) |
0.114606 | + | 0.993411i | \(0.463439\pi\) | |||||||
\(48\) | −8.41553 | − | 1.44454i | −1.21468 | − | 0.208501i | ||||
\(49\) | 0.579354 | + | 3.65789i | 0.0827648 | + | 0.522556i | ||||
\(50\) | 5.33786 | − | 5.33786i | 0.754888 | − | 0.754888i | ||||
\(51\) | −3.99621 | − | 0.366496i | −0.559581 | − | 0.0513197i | ||||
\(52\) | 0.658006 | − | 0.403227i | 0.0912490 | − | 0.0559175i | ||||
\(53\) | 2.73217 | − | 0.655936i | 0.375292 | − | 0.0900997i | −0.0414111 | − | 0.999142i | \(-0.513185\pi\) |
0.416703 | + | 0.909042i | \(0.363185\pi\) | |||||||
\(54\) | 8.58684 | + | 0.332872i | 1.16852 | + | 0.0452982i | ||||
\(55\) | 1.03825 | − | 0.430059i | 0.139998 | − | 0.0579891i | ||||
\(56\) | −1.98466 | + | 3.23867i | −0.265211 | + | 0.432785i | ||||
\(57\) | 8.72574 | − | 1.97604i | 1.15575 | − | 0.261732i | ||||
\(58\) | 1.32272 | + | 0.317557i | 0.173682 | + | 0.0416972i | ||||
\(59\) | −12.0412 | + | 3.91242i | −1.56763 | + | 0.509354i | −0.958833 | − | 0.283972i | \(-0.908348\pi\) |
−0.608798 | + | 0.793326i | \(0.708348\pi\) | |||||||
\(60\) | 0.484911 | + | 0.685879i | 0.0626017 | + | 0.0885466i | ||||
\(61\) | −5.93836 | − | 11.6547i | −0.760329 | − | 1.49223i | −0.867202 | − | 0.497956i | \(-0.834084\pi\) |
0.106873 | − | 0.994273i | \(-0.465916\pi\) | |||||||
\(62\) | 4.69078 | + | 9.20617i | 0.595729 | + | 1.16918i | ||||
\(63\) | 2.21371 | − | 4.97675i | 0.278901 | − | 0.627012i | ||||
\(64\) | 3.13497 | − | 1.01861i | 0.391872 | − | 0.127327i | ||||
\(65\) | 0.673674 | + | 0.161735i | 0.0835590 | + | 0.0200607i | ||||
\(66\) | −1.07752 | − | 4.75811i | −0.132634 | − | 0.585683i | ||||
\(67\) | −6.07567 | + | 9.91460i | −0.742262 | + | 1.21126i | 0.229042 | + | 0.973417i | \(0.426441\pi\) |
−0.971303 | + | 0.237844i | \(0.923559\pi\) | |||||||
\(68\) | −1.57325 | + | 0.651663i | −0.190785 | + | 0.0790257i | ||||
\(69\) | −8.48066 | + | 4.18404i | −1.02095 | + | 0.503699i | ||||
\(70\) | 1.92649 | − | 0.462510i | 0.230260 | − | 0.0552805i | ||||
\(71\) | 8.13682 | − | 4.98625i | 0.965662 | − | 0.591759i | 0.0521803 | − | 0.998638i | \(-0.483383\pi\) |
0.913482 | + | 0.406879i | \(0.133383\pi\) | |||||||
\(72\) | −5.66384 | + | 2.70394i | −0.667490 | + | 0.318662i | ||||
\(73\) | 3.53154 | − | 3.53154i | 0.413335 | − | 0.413335i | −0.469563 | − | 0.882899i | \(-0.655589\pi\) |
0.882899 | + | 0.469563i | \(0.155589\pi\) | |||||||
\(74\) | −1.46651 | − | 9.25919i | −0.170478 | − | 1.07636i | ||||
\(75\) | 1.33754 | − | 7.79220i | 0.154446 | − | 0.899766i | ||||
\(76\) | 2.88685 | − | 2.46560i | 0.331145 | − | 0.282824i | ||||
\(77\) | −3.05424 | − | 0.483745i | −0.348064 | − | 0.0551278i | ||||
\(78\) | 1.18676 | − | 2.76359i | 0.134374 | − | 0.312915i | ||||
\(79\) | 2.58684 | − | 6.24519i | 0.291043 | − | 0.702639i | −0.708954 | − | 0.705255i | \(-0.750833\pi\) |
0.999997 | + | 0.00261569i | \(0.000832602\pi\) | |||||||
\(80\) | −2.89827 | − | 1.47674i | −0.324036 | − | 0.165105i | ||||
\(81\) | 7.54461 | − | 4.90702i | 0.838290 | − | 0.545225i | ||||
\(82\) | −4.31788 | + | 9.66904i | −0.476830 | + | 1.06777i | ||||
\(83\) | − | 6.34739i | − | 0.696716i | −0.937362 | − | 0.348358i | \(-0.886739\pi\) | ||
0.937362 | − | 0.348358i | \(-0.113261\pi\) | |||||||
\(84\) | −0.151572 | − | 2.30637i | −0.0165379 | − | 0.251646i | ||||
\(85\) | −1.41238 | − | 0.585029i | −0.153195 | − | 0.0634553i | ||||
\(86\) | −11.8342 | + | 8.59805i | −1.27611 | + | 0.927151i | ||||
\(87\) | 1.32317 | − | 0.528159i | 0.141859 | − | 0.0566246i | ||||
\(88\) | 2.31406 | + | 2.70942i | 0.246680 | + | 0.288825i | ||||
\(89\) | −7.77949 | − | 6.64431i | −0.824624 | − | 0.704295i | 0.133376 | − | 0.991066i | \(-0.457418\pi\) |
−0.957999 | + | 0.286770i | \(0.907418\pi\) | |||||||
\(90\) | 3.08624 | + | 1.09168i | 0.325319 | + | 0.115074i | ||||
\(91\) | −1.34803 | − | 1.34803i | −0.141312 | − | 0.141312i | ||||
\(92\) | −2.35869 | + | 3.24646i | −0.245911 | + | 0.338467i | ||||
\(93\) | 9.57764 | + | 5.03690i | 0.993155 | + | 0.522302i | ||||
\(94\) | 2.95388 | + | 12.3038i | 0.304669 | + | 1.26904i | ||||
\(95\) | 3.39776 | + | 0.267409i | 0.348603 | + | 0.0274356i | ||||
\(96\) | −4.11184 | + | 5.50842i | −0.419663 | + | 0.562201i | ||||
\(97\) | 8.27353 | + | 5.07002i | 0.840050 | + | 0.514783i | 0.874727 | − | 0.484616i | \(-0.161040\pi\) |
−0.0346777 | + | 0.999399i | \(0.511040\pi\) | |||||||
\(98\) | 5.82499 | + | 1.89265i | 0.588412 | + | 0.191187i | ||||
\(99\) | −3.79829 | − | 3.41759i | −0.381742 | − | 0.343481i | ||||
\(100\) | −1.03673 | − | 3.19072i | −0.103673 | − | 0.319072i | ||||
\(101\) | 3.66841 | − | 0.288710i | 0.365020 | − | 0.0287277i | 0.105377 | − | 0.994432i | \(-0.466395\pi\) |
0.259643 | + | 0.965705i | \(0.416395\pi\) | |||||||
\(102\) | −3.54039 | + | 5.61335i | −0.350551 | + | 0.555805i | ||||
\(103\) | 15.1469 | − | 7.71775i | 1.49247 | − | 0.760452i | 0.498172 | − | 0.867078i | \(-0.334005\pi\) |
0.994299 | + | 0.106626i | \(0.0340047\pi\) | |||||||
\(104\) | 0.172347 | + | 2.18988i | 0.0169000 | + | 0.214735i | ||||
\(105\) | 1.36787 | − | 1.56031i | 0.133491 | − | 0.152271i | ||||
\(106\) | 1.08477 | − | 4.51840i | 0.105362 | − | 0.438866i | ||||
\(107\) | −4.09834 | + | 12.6134i | −0.396201 | + | 1.21938i | 0.531821 | + | 0.846857i | \(0.321508\pi\) |
−0.928022 | + | 0.372525i | \(0.878492\pi\) | |||||||
\(108\) | 1.86434 | − | 3.33311i | 0.179396 | − | 0.320729i | ||||
\(109\) | 2.74825 | + | 6.63486i | 0.263235 | + | 0.635504i | 0.999135 | − | 0.0415854i | \(-0.0132409\pi\) |
−0.735900 | + | 0.677090i | \(0.763241\pi\) | |||||||
\(110\) | 0.145817 | − | 1.85278i | 0.0139031 | − | 0.176656i | ||||
\(111\) | −6.85234 | − | 7.03167i | −0.650396 | − | 0.667416i | ||||
\(112\) | 4.67669 | + | 7.63166i | 0.441906 | + | 0.721125i | ||||
\(113\) | 5.03987 | + | 3.66168i | 0.474111 | + | 0.344462i | 0.799041 | − | 0.601276i | \(-0.205341\pi\) |
−0.324930 | + | 0.945738i | \(0.605341\pi\) | |||||||
\(114\) | 3.63954 | − | 14.3412i | 0.340874 | − | 1.34318i | ||||
\(115\) | −3.55817 | + | 0.563559i | −0.331801 | + | 0.0525521i | ||||
\(116\) | 0.392627 | − | 0.459707i | 0.0364545 | − | 0.0426828i | ||||
\(117\) | −0.655994 | − | 3.08092i | −0.0606467 | − | 0.284831i | ||||
\(118\) | −3.27547 | + | 20.6805i | −0.301531 | + | 1.90379i | ||||
\(119\) | 2.47259 | + | 3.40323i | 0.226662 | + | 0.311973i | ||||
\(120\) | −2.36612 | + | 0.343493i | −0.215996 | + | 0.0313565i | ||||
\(121\) | 3.67697 | − | 7.21647i | 0.334270 | − | 0.656042i | ||||
\(122\) | −21.6320 | −1.95847 | ||||||||
\(123\) | 2.15341 | + | 10.8795i | 0.194166 | + | 0.980969i | ||||
\(124\) | 4.59196 | 0.412370 | ||||||||
\(125\) | 2.86514 | − | 5.62316i | 0.256266 | − | 0.502951i | ||||
\(126\) | −5.67133 | − | 6.99851i | −0.505242 | − | 0.623477i | ||||
\(127\) | 3.14443 | + | 4.32794i | 0.279023 | + | 0.384043i | 0.925410 | − | 0.378967i | \(-0.123721\pi\) |
−0.646387 | + | 0.763010i | \(0.723721\pi\) | |||||||
\(128\) | 2.09444 | − | 13.2238i | 0.185124 | − | 1.16883i | ||||
\(129\) | −4.92198 | + | 14.5080i | −0.433356 | + | 1.27736i | ||||
\(130\) | 0.744115 | − | 0.871247i | 0.0652632 | − | 0.0764134i | ||||
\(131\) | −2.29715 | + | 0.363832i | −0.200703 | + | 0.0317882i | −0.255976 | − | 0.966683i | \(-0.582397\pi\) |
0.0552736 | + | 0.998471i | \(0.482397\pi\) | |||||||
\(132\) | −2.10156 | − | 0.533337i | −0.182917 | − | 0.0464210i | ||||
\(133\) | −7.58729 | − | 5.51249i | −0.657901 | − | 0.477993i | ||||
\(134\) | 10.0478 | + | 16.3965i | 0.867999 | + | 1.41645i | ||||
\(135\) | 3.29936 | − | 0.932382i | 0.283964 | − | 0.0802467i | ||||
\(136\) | 0.380297 | − | 4.83213i | 0.0326102 | − | 0.414352i | ||||
\(137\) | 5.96844 | + | 14.4091i | 0.509918 | + | 1.23105i | 0.943930 | + | 0.330144i | \(0.107097\pi\) |
−0.434012 | + | 0.900907i | \(0.642903\pi\) | |||||||
\(138\) | −0.201979 | + | 15.6379i | −0.0171936 | + | 1.33118i | ||||
\(139\) | −1.77320 | + | 5.45734i | −0.150400 | + | 0.462885i | −0.997666 | − | 0.0682847i | \(-0.978247\pi\) |
0.847265 | + | 0.531170i | \(0.178247\pi\) | |||||||
\(140\) | 0.205552 | − | 0.856185i | 0.0173723 | − | 0.0723608i | ||||
\(141\) | 9.96512 | + | 8.73610i | 0.839214 | + | 0.735712i | ||||
\(142\) | −1.23825 | − | 15.7335i | −0.103912 | − | 1.32033i | ||||
\(143\) | −1.59340 | + | 0.811877i | −0.133247 | + | 0.0678926i | ||||
\(144\) | −0.381975 | + | 14.7844i | −0.0318313 | + | 1.23203i | ||||
\(145\) | 0.541065 | − | 0.0425827i | 0.0449330 | − | 0.00353630i | ||||
\(146\) | −2.55234 | − | 7.85530i | −0.211233 | − | 0.650109i | ||||
\(147\) | 6.12577 | − | 1.90328i | 0.505245 | − | 0.156979i | ||||
\(148\) | −3.96241 | − | 1.28746i | −0.325708 | − | 0.105829i | ||||
\(149\) | −8.85173 | − | 5.42435i | −0.725162 | − | 0.444380i | 0.110321 | − | 0.993896i | \(-0.464812\pi\) |
−0.835483 | + | 0.549516i | \(0.814812\pi\) | |||||||
\(150\) | −10.4778 | − | 7.82129i | −0.855508 | − | 0.638606i | ||||
\(151\) | −12.1411 | − | 0.955529i | −0.988033 | − | 0.0777599i | −0.425868 | − | 0.904785i | \(-0.640031\pi\) |
−0.562165 | + | 0.827025i | \(0.690031\pi\) | |||||||
\(152\) | 2.52267 | + | 10.5077i | 0.204616 | + | 0.852286i | ||||
\(153\) | 0.366195 | + | 6.94103i | 0.0296051 | + | 0.561149i | ||||
\(154\) | −3.00594 | + | 4.13732i | −0.242225 | + | 0.333395i | ||||
\(155\) | 2.91499 | + | 2.91499i | 0.234138 | + | 0.234138i | ||||
\(156\) | −0.854899 | − | 1.02754i | −0.0684467 | − | 0.0822690i | ||||
\(157\) | −3.05475 | − | 2.60900i | −0.243795 | − | 0.208221i | 0.519151 | − | 0.854682i | \(-0.326248\pi\) |
−0.762947 | + | 0.646461i | \(0.776248\pi\) | |||||||
\(158\) | −7.26026 | − | 8.50067i | −0.577595 | − | 0.676277i | ||||
\(159\) | −1.80419 | − | 4.51994i | −0.143082 | − | 0.358455i | ||||
\(160\) | −2.11850 | + | 1.53918i | −0.167482 | + | 0.121683i | ||||
\(161\) | 9.15836 | + | 3.79352i | 0.721780 | + | 0.298971i | ||||
\(162\) | −1.56614 | − | 14.8014i | −0.123048 | − | 1.16291i | ||||
\(163\) | − | 23.0152i | − | 1.80269i | −0.433104 | − | 0.901344i | \(-0.642582\pi\) | ||
0.433104 | − | 0.901344i | \(-0.357418\pi\) | |||||||
\(164\) | 2.95761 | + | 3.66070i | 0.230951 | + | 0.285853i | ||||
\(165\) | −0.995511 | − | 1.67264i | −0.0775005 | − | 0.130215i | ||||
\(166\) | −9.35305 | − | 4.76561i | −0.725937 | − | 0.369883i | ||||
\(167\) | 9.30565 | − | 22.4658i | 0.720093 | − | 1.73846i | 0.0470056 | − | 0.998895i | \(-0.485032\pi\) |
0.673087 | − | 0.739563i | \(-0.264968\pi\) | |||||||
\(168\) | 6.04520 | + | 2.59597i | 0.466398 | + | 0.200284i | ||||
\(169\) | 11.7510 | + | 1.86118i | 0.903926 | + | 0.143168i | ||||
\(170\) | −1.92247 | + | 1.64195i | −0.147447 | + | 0.125932i | ||||
\(171\) | −5.55836 | − | 14.4649i | −0.425059 | − | 1.10616i | ||||
\(172\) | 1.01698 | + | 6.42098i | 0.0775442 | + | 0.489595i | ||||
\(173\) | 12.5224 | − | 12.5224i | 0.952057 | − | 0.952057i | −0.0468454 | − | 0.998902i | \(-0.514917\pi\) |
0.998902 | + | 0.0468454i | \(0.0149168\pi\) | |||||||
\(174\) | 0.215179 | − | 2.34627i | 0.0163127 | − | 0.177870i | ||||
\(175\) | −7.06640 | + | 4.33029i | −0.534170 | + | 0.327339i | ||||
\(176\) | 8.16422 | − | 1.96006i | 0.615401 | − | 0.147745i | ||||
\(177\) | 9.70250 | + | 19.6661i | 0.729284 | + | 1.47819i | ||||
\(178\) | −15.6314 | + | 6.47474i | −1.17162 | + | 0.485302i | ||||
\(179\) | 7.49189 | − | 12.2257i | 0.559970 | − | 0.913788i | −0.439906 | − | 0.898044i | \(-0.644988\pi\) |
0.999876 | − | 0.0157444i | \(-0.00501182\pi\) | |||||||
\(180\) | 1.05499 | − | 1.00185i | 0.0786343 | − | 0.0746734i | ||||
\(181\) | −13.6533 | − | 3.27786i | −1.01484 | − | 0.243641i | −0.308280 | − | 0.951296i | \(-0.599753\pi\) |
−0.706558 | + | 0.707655i | \(0.749753\pi\) | |||||||
\(182\) | −2.99846 | + | 0.974257i | −0.222260 | + | 0.0722167i | ||||
\(183\) | −18.4994 | + | 13.0789i | −1.36752 | + | 0.966823i | ||||
\(184\) | −5.18556 | − | 10.1772i | −0.382285 | − | 0.750276i | ||||
\(185\) | −1.69806 | − | 3.33264i | −0.124844 | − | 0.245020i | ||||
\(186\) | 14.6129 | − | 10.3312i | 1.07147 | − | 0.757521i | ||||
\(187\) | 3.75292 | − | 1.21940i | 0.274441 | − | 0.0891712i | ||||
\(188\) | 5.46813 | + | 1.31278i | 0.398804 | + | 0.0957445i | ||||
\(189\) | −9.08142 | − | 2.55609i | −0.660576 | − | 0.185928i | ||||
\(190\) | 2.94507 | − | 4.80592i | 0.213658 | − | 0.348658i | ||||
\(191\) | −7.00016 | + | 2.89956i | −0.506514 | + | 0.209805i | −0.621281 | − | 0.783587i | \(-0.713388\pi\) |
0.114768 | + | 0.993392i | \(0.463388\pi\) | |||||||
\(192\) | −2.52608 | − | 5.12014i | −0.182304 | − | 0.369514i | ||||
\(193\) | −2.05114 | + | 0.492435i | −0.147644 | + | 0.0354462i | −0.306594 | − | 0.951840i | \(-0.599189\pi\) |
0.158950 | + | 0.987287i | \(0.449189\pi\) | |||||||
\(194\) | 13.6826 | − | 8.38470i | 0.982352 | − | 0.601986i | ||||
\(195\) | 0.109593 | − | 1.19498i | 0.00784809 | − | 0.0855742i | ||||
\(196\) | 1.92475 | − | 1.92475i | 0.137482 | − | 0.137482i | ||||
\(197\) | −1.45108 | − | 9.16173i | −0.103385 | − | 0.652746i | −0.983899 | − | 0.178726i | \(-0.942802\pi\) |
0.880514 | − | 0.474020i | \(-0.157198\pi\) | |||||||
\(198\) | −7.88767 | + | 3.03095i | −0.560552 | + | 0.215401i | ||||
\(199\) | 3.76313 | − | 3.21401i | 0.266761 | − | 0.227835i | −0.505998 | − | 0.862534i | \(-0.668876\pi\) |
0.772760 | + | 0.634699i | \(0.218876\pi\) | |||||||
\(200\) | 9.43189 | + | 1.49386i | 0.666935 | + | 0.105632i | ||||
\(201\) | 18.5063 | + | 7.94710i | 1.30533 | + | 0.560545i | ||||
\(202\) | 2.32882 | − | 5.62226i | 0.163855 | − | 0.395581i | ||||
\(203\) | −1.33066 | − | 0.678005i | −0.0933940 | − | 0.0475866i | ||||
\(204\) | 1.50849 | + | 2.53453i | 0.105615 | + | 0.177453i | ||||
\(205\) | −0.446322 | + | 4.20133i | −0.0311724 | + | 0.293433i | ||||
\(206\) | − | 28.1139i | − | 1.95879i | ||||||
\(207\) | 9.28208 | + | 13.4954i | 0.645149 | + | 0.937996i | ||||
\(208\) | 4.78221 | + | 1.98086i | 0.331586 | + | 0.137348i | ||||
\(209\) | −7.11731 | + | 5.17103i | −0.492315 | + | 0.357688i | ||||
\(210\) | −1.27216 | − | 3.18708i | −0.0877875 | − | 0.219929i | ||||
\(211\) | −3.02889 | − | 3.54638i | −0.208518 | − | 0.244143i | 0.646285 | − | 0.763096i | \(-0.276322\pi\) |
−0.854803 | + | 0.518953i | \(0.826322\pi\) | |||||||
\(212\) | −1.57036 | − | 1.34121i | −0.107853 | − | 0.0921149i | ||||
\(213\) | −10.5716 | − | 12.7064i | −0.724352 | − | 0.870630i | ||||
\(214\) | 15.5091 | + | 15.5091i | 1.06018 | + | 1.06018i | ||||
\(215\) | −3.43047 | + | 4.72164i | −0.233956 | + | 0.322013i | ||||
\(216\) | 6.04414 | + | 9.03545i | 0.411252 | + | 0.614785i | ||||
\(217\) | −2.64809 | − | 11.0301i | −0.179764 | − | 0.748772i | ||||
\(218\) | 11.8400 | + | 0.931831i | 0.801908 | + | 0.0631115i | ||||
\(219\) | −6.93213 | − | 5.17458i | −0.468430 | − | 0.349666i | ||||
\(220\) | −0.704257 | − | 0.431569i | −0.0474810 | − | 0.0290964i | ||||
\(221\) | 2.31366 | + | 0.751753i | 0.155633 | + | 0.0505684i | ||||
\(222\) | −15.5061 | + | 4.81774i | −1.04070 | + | 0.323345i | ||||
\(223\) | 0.602004 | + | 1.85278i | 0.0403132 | + | 0.124071i | 0.969188 | − | 0.246323i | \(-0.0792225\pi\) |
−0.928875 | + | 0.370395i | \(0.879223\pi\) | |||||||
\(224\) | 7.18334 | − | 0.565341i | 0.479957 | − | 0.0377734i | ||||
\(225\) | −13.6893 | − | 0.353683i | −0.912621 | − | 0.0235789i | ||||
\(226\) | 9.17951 | − | 4.67719i | 0.610612 | − | 0.311122i | ||||
\(227\) | 1.54833 | + | 19.6734i | 0.102766 | + | 1.30577i | 0.804765 | + | 0.593593i | \(0.202291\pi\) |
−0.701999 | + | 0.712178i | \(0.747709\pi\) | |||||||
\(228\) | −4.94460 | − | 4.33477i | −0.327464 | − | 0.287077i | ||||
\(229\) | −2.76071 | + | 11.4992i | −0.182433 | + | 0.759887i | 0.803851 | + | 0.594830i | \(0.202781\pi\) |
−0.986284 | + | 0.165057i | \(0.947219\pi\) | |||||||
\(230\) | −1.84105 | + | 5.66618i | −0.121396 | + | 0.373617i | ||||
\(231\) | −0.0691733 | + | 5.35560i | −0.00455127 | + | 0.352373i | ||||
\(232\) | 0.658525 | + | 1.58982i | 0.0432343 | + | 0.104377i | ||||
\(233\) | −1.47503 | + | 18.7420i | −0.0966325 | + | 1.22783i | 0.737146 | + | 0.675733i | \(0.236173\pi\) |
−0.833779 | + | 0.552099i | \(0.813827\pi\) | |||||||
\(234\) | −5.03234 | − | 1.34653i | −0.328974 | − | 0.0880252i | ||||
\(235\) | 2.63783 | + | 4.30455i | 0.172073 | + | 0.280798i | ||||
\(236\) | 7.52832 | + | 5.46965i | 0.490052 | + | 0.356044i | ||||
\(237\) | −11.3485 | − | 2.88004i | −0.737163 | − | 0.187079i | ||||
\(238\) | 6.87117 | − | 1.08829i | 0.445392 | − | 0.0705431i | ||||
\(239\) | −10.4737 | + | 12.2631i | −0.677487 | + | 0.793235i | −0.987520 | − | 0.157491i | \(-0.949660\pi\) |
0.310034 | + | 0.950726i | \(0.399660\pi\) | |||||||
\(240\) | −1.81006 | + | 5.33534i | −0.116839 | + | 0.344395i | ||||
\(241\) | −2.39770 | + | 15.1385i | −0.154449 | + | 0.975154i | 0.781726 | + | 0.623622i | \(0.214339\pi\) |
−0.936176 | + | 0.351533i | \(0.885661\pi\) | |||||||
\(242\) | −7.87299 | − | 10.8362i | −0.506095 | − | 0.696580i | ||||
\(243\) | −10.2884 | − | 11.7110i | −0.660002 | − | 0.751264i | ||||
\(244\) | −4.36459 | + | 8.56599i | −0.279414 | + | 0.548382i | ||||
\(245\) | 2.44367 | 0.156120 | ||||||||
\(246\) | 17.6480 | + | 4.99520i | 1.12519 | + | 0.318482i | ||||
\(247\) | −5.42361 | −0.345096 | ||||||||
\(248\) | −5.93391 | + | 11.6460i | −0.376804 | + | 0.739519i | ||||
\(249\) | −10.8799 | + | 1.57946i | −0.689489 | + | 0.100094i | ||||
\(250\) | −6.13473 | − | 8.44373i | −0.387994 | − | 0.534028i | ||||
\(251\) | −2.59916 | + | 16.4105i | −0.164058 | + | 1.03582i | 0.758981 | + | 0.651112i | \(0.225697\pi\) |
−0.923039 | + | 0.384707i | \(0.874303\pi\) | |||||||
\(252\) | −3.91560 | + | 0.833715i | −0.246659 | + | 0.0525191i | ||||
\(253\) | 6.03916 | − | 7.07095i | 0.379679 | − | 0.444547i | ||||
\(254\) | 8.73818 | − | 1.38399i | 0.548282 | − | 0.0868393i | ||||
\(255\) | −0.651336 | + | 2.56652i | −0.0407882 | + | 0.160722i | ||||
\(256\) | −12.5796 | − | 9.13958i | −0.786222 | − | 0.571224i | ||||
\(257\) | −16.0866 | − | 26.2509i | −1.00345 | − | 1.63749i | −0.739748 | − | 0.672884i | \(-0.765055\pi\) |
−0.263705 | − | 0.964603i | \(-0.584945\pi\) | |||||||
\(258\) | 17.6825 | + | 18.1453i | 1.10087 | + | 1.12968i | ||||
\(259\) | −0.807506 | + | 10.2603i | −0.0501760 | + | 0.637547i | ||||
\(260\) | −0.194866 | − | 0.470447i | −0.0120851 | − | 0.0291759i | ||||
\(261\) | −1.23456 | − | 2.13660i | −0.0764174 | − | 0.132252i | ||||
\(262\) | −1.18858 | + | 3.65807i | −0.0734307 | + | 0.225996i | ||||
\(263\) | −1.17776 | + | 4.90573i | −0.0726239 | + | 0.302500i | −0.996847 | − | 0.0793539i | \(-0.974714\pi\) |
0.924223 | + | 0.381854i | \(0.124714\pi\) | |||||||
\(264\) | 4.06835 | − | 4.64069i | 0.250389 | − | 0.285615i | ||||
\(265\) | −0.145462 | − | 1.84828i | −0.00893569 | − | 0.113539i | ||||
\(266\) | −13.8193 | + | 7.04130i | −0.847318 | + | 0.431730i | ||||
\(267\) | −9.45308 | + | 14.9880i | −0.578519 | + | 0.917252i | ||||
\(268\) | 8.52012 | − | 0.670548i | 0.520449 | − | 0.0409602i | ||||
\(269\) | −0.985718 | − | 3.03373i | −0.0601003 | − | 0.184970i | 0.916499 | − | 0.400037i | \(-0.131003\pi\) |
−0.976599 | + | 0.215068i | \(0.931003\pi\) | |||||||
\(270\) | 1.10327 | − | 5.56173i | 0.0671428 | − | 0.338476i | ||||
\(271\) | 23.1429 | + | 7.51957i | 1.40583 | + | 0.456782i | 0.911071 | − | 0.412249i | \(-0.135257\pi\) |
0.494758 | + | 0.869031i | \(0.335257\pi\) | |||||||
\(272\) | −9.73864 | − | 5.96784i | −0.590492 | − | 0.361854i | ||||
\(273\) | −1.97519 | + | 2.64607i | −0.119544 | + | 0.160147i | ||||
\(274\) | 25.7133 | + | 2.02368i | 1.55340 | + | 0.122255i | ||||
\(275\) | 1.81488 | + | 7.55951i | 0.109441 | + | 0.455855i | ||||
\(276\) | 6.15163 | + | 3.23516i | 0.370285 | + | 0.194734i | ||||
\(277\) | −4.82519 | + | 6.64130i | −0.289917 | + | 0.399037i | −0.928987 | − | 0.370112i | \(-0.879319\pi\) |
0.639070 | + | 0.769149i | \(0.279319\pi\) | |||||||
\(278\) | 6.71022 | + | 6.71022i | 0.402452 | + | 0.402452i | ||||
\(279\) | 6.25041 | − | 17.6702i | 0.374202 | − | 1.05789i | ||||
\(280\) | 1.90580 | + | 1.62771i | 0.113893 | + | 0.0972742i | ||||
\(281\) | −5.10229 | − | 5.97402i | −0.304377 | − | 0.356380i | 0.587044 | − | 0.809555i | \(-0.300291\pi\) |
−0.891422 | + | 0.453175i | \(0.850291\pi\) | |||||||
\(282\) | 20.3547 | − | 8.12482i | 1.21210 | − | 0.483826i | ||||
\(283\) | 0.295280 | − | 0.214534i | 0.0175526 | − | 0.0127527i | −0.578974 | − | 0.815346i | \(-0.696547\pi\) |
0.596527 | + | 0.802593i | \(0.296547\pi\) | |||||||
\(284\) | −6.48009 | − | 2.68414i | −0.384523 | − | 0.159275i | ||||
\(285\) | −0.387122 | − | 5.89058i | −0.0229311 | − | 0.348928i | ||||
\(286\) | 2.95747i | 0.174879i | ||||||||
\(287\) | 7.08757 | − | 9.21538i | 0.418366 | − | 0.543967i | ||||
\(288\) | 10.4651 | + | 5.67734i | 0.616660 | + | 0.334540i | ||||
\(289\) | 10.3642 | + | 5.28082i | 0.609658 | + | 0.310636i | ||||
\(290\) | 0.343485 | − | 0.829245i | 0.0201701 | − | 0.0486949i | ||||
\(291\) | 6.63169 | − | 15.4431i | 0.388757 | − | 0.905292i | ||||
\(292\) | −3.62557 | − | 0.574234i | −0.212170 | − | 0.0336045i | ||||
\(293\) | −11.3926 | + | 9.73018i | −0.665561 | + | 0.568443i | −0.916733 | − | 0.399499i | \(-0.869184\pi\) |
0.251172 | + | 0.967942i | \(0.419184\pi\) | |||||||
\(294\) | 1.79470 | − | 10.4555i | 0.104669 | − | 0.609775i | ||||
\(295\) | 1.30685 | + | 8.25115i | 0.0760880 | + | 0.480401i | ||||
\(296\) | 8.38560 | − | 8.38560i | 0.487403 | − | 0.487403i | ||||
\(297\) | −4.91289 | + | 7.36100i | −0.285075 | + | 0.427129i | ||||
\(298\) | −14.6388 | + | 8.97067i | −0.848003 | + | 0.519657i | ||||
\(299\) | 5.57434 | − | 1.33828i | 0.322373 | − | 0.0773948i | ||||
\(300\) | −5.21119 | + | 2.57100i | −0.300868 | + | 0.148437i | ||||
\(301\) | 14.8370 | − | 6.14569i | 0.855191 | − | 0.354232i | ||||
\(302\) | −10.5236 | + | 17.1729i | −0.605563 | + | 0.988189i | ||||
\(303\) | −1.40770 | − | 6.21611i | −0.0808705 | − | 0.357106i | ||||
\(304\) | 24.7605 | + | 5.94447i | 1.42011 | + | 0.340939i | ||||
\(305\) | −8.20838 | + | 2.66706i | −0.470010 | + | 0.152716i | ||||
\(306\) | 10.5027 | + | 4.67172i | 0.600401 | + | 0.267065i | ||||
\(307\) | −1.81568 | − | 3.56347i | −0.103626 | − | 0.203378i | 0.833372 | − | 0.552713i | \(-0.186408\pi\) |
−0.936998 | + | 0.349335i | \(0.886408\pi\) | |||||||
\(308\) | 1.03183 | + | 2.02508i | 0.0587940 | + | 0.115390i | ||||
\(309\) | −16.9980 | − | 24.0426i | −0.966980 | − | 1.36774i | ||||
\(310\) | 6.48389 | − | 2.10674i | 0.368260 | − | 0.119655i | ||||
\(311\) | 12.8380 | + | 3.08213i | 0.727976 | + | 0.174772i | 0.580461 | − | 0.814288i | \(-0.302872\pi\) |
0.147515 | + | 0.989060i | \(0.452872\pi\) | |||||||
\(312\) | 3.71074 | − | 0.840337i | 0.210080 | − | 0.0475747i | ||||
\(313\) | −6.77398 | + | 11.0541i | −0.382888 | + | 0.624816i | −0.984789 | − | 0.173754i | \(-0.944410\pi\) |
0.601901 | + | 0.798571i | \(0.294410\pi\) | |||||||
\(314\) | −6.13794 | + | 2.54242i | −0.346384 | + | 0.143477i | ||||
\(315\) | −3.01488 | − | 1.95639i | −0.169869 | − | 0.110230i | ||||
\(316\) | −4.83103 | + | 1.15983i | −0.271766 | + | 0.0652453i | ||||
\(317\) | 23.7875 | − | 14.5770i | 1.33604 | − | 0.818727i | 0.343327 | − | 0.939216i | \(-0.388446\pi\) |
0.992715 | + | 0.120489i | \(0.0384461\pi\) | |||||||
\(318\) | −8.01485 | − | 0.735050i | −0.449450 | − | 0.0412195i | ||||
\(319\) | −0.990605 | + | 0.990605i | −0.0554632 | + | 0.0554632i | ||||
\(320\) | −0.340245 | − | 2.14822i | −0.0190203 | − | 0.120089i | ||||
\(321\) | 22.6402 | + | 3.88623i | 1.26365 | + | 0.216908i | ||||
\(322\) | 12.4659 | − | 10.6469i | 0.694700 | − | 0.593330i | ||||
\(323\) | 11.8203 | + | 1.87215i | 0.657698 | + | 0.104169i | ||||
\(324\) | −6.17715 | − | 2.36624i | −0.343175 | − | 0.131458i | ||||
\(325\) | −1.83414 | + | 4.42800i | −0.101740 | + | 0.245621i | ||||
\(326\) | −33.9135 | − | 17.2798i | −1.87829 | − | 0.957039i | ||||
\(327\) | 10.6888 | − | 6.36172i | 0.591094 | − | 0.351804i | ||||
\(328\) | −13.1061 | + | 2.77049i | −0.723662 | + | 0.152975i | ||||
\(329\) | − | 13.8918i | − | 0.765877i | ||||||
\(330\) | −3.21211 | + | 0.211096i | −0.176821 | + | 0.0116205i | ||||
\(331\) | 31.2011 | + | 12.9239i | 1.71497 | + | 0.710363i | 0.999936 | + | 0.0112720i | \(0.00358806\pi\) |
0.715032 | + | 0.699091i | \(0.246412\pi\) | |||||||
\(332\) | −3.77424 | + | 2.74215i | −0.207138 | + | 0.150495i | ||||
\(333\) | −10.3478 | + | 13.4952i | −0.567054 | + | 0.739533i | ||||
\(334\) | −26.1173 | − | 30.5795i | −1.42908 | − | 1.67323i | ||||
\(335\) | 5.83427 | + | 4.98294i | 0.318760 | + | 0.272247i | ||||
\(336\) | 11.9176 | − | 9.91527i | 0.650157 | − | 0.540922i | ||||
\(337\) | 2.19727 | + | 2.19727i | 0.119693 | + | 0.119693i | 0.764416 | − | 0.644723i | \(-0.223027\pi\) |
−0.644723 | + | 0.764416i | \(0.723027\pi\) | |||||||
\(338\) | 11.5652 | − | 15.9181i | 0.629063 | − | 0.865830i | ||||
\(339\) | 5.02232 | − | 9.54991i | 0.272775 | − | 0.518680i | ||||
\(340\) | 0.262301 | + | 1.09256i | 0.0142253 | + | 0.0592525i | ||||
\(341\) | −10.6081 | − | 0.834873i | −0.574459 | − | 0.0452109i | ||||
\(342\) | −25.4877 | − | 2.66987i | −1.37822 | − | 0.144370i | ||||
\(343\) | −16.5698 | − | 10.1540i | −0.894687 | − | 0.548265i | ||||
\(344\) | −17.5988 | − | 5.71821i | −0.948865 | − | 0.308305i | ||||
\(345\) | 1.85139 | + | 5.95877i | 0.0996753 | + | 0.320809i | ||||
\(346\) | −9.05025 | − | 27.8538i | −0.486544 | − | 1.49743i | ||||
\(347\) | 7.54174 | − | 0.593548i | 0.404862 | − | 0.0318633i | 0.125606 | − | 0.992080i | \(-0.459912\pi\) |
0.279255 | + | 0.960217i | \(0.409912\pi\) | |||||||
\(348\) | −0.885677 | − | 0.558604i | −0.0474772 | − | 0.0299443i | ||||
\(349\) | −19.0476 | + | 9.70526i | −1.01960 | + | 0.519511i | −0.882135 | − | 0.470996i | \(-0.843894\pi\) |
−0.137462 | + | 0.990507i | \(0.543894\pi\) | |||||||
\(350\) | 1.07536 | + | 13.6637i | 0.0574803 | + | 0.730356i | ||||
\(351\) | −5.11771 | + | 1.89107i | −0.273163 | + | 0.100938i | ||||
\(352\) | 1.57791 | − | 6.57247i | 0.0841029 | − | 0.350314i | ||||
\(353\) | −2.56356 | + | 7.88981i | −0.136444 | + | 0.419932i | −0.995812 | − | 0.0914259i | \(-0.970858\pi\) |
0.859368 | + | 0.511358i | \(0.170858\pi\) | |||||||
\(354\) | 36.2631 | + | 0.468377i | 1.92736 | + | 0.0248939i | ||||
\(355\) | −2.40968 | − | 5.81749i | −0.127893 | − | 0.308760i | ||||
\(356\) | −0.589965 | + | 7.49621i | −0.0312681 | + | 0.397298i | ||||
\(357\) | 5.21814 | − | 5.08507i | 0.276173 | − | 0.269130i | ||||
\(358\) | −12.3899 | − | 20.2185i | −0.654828 | − | 1.06858i | ||||
\(359\) | 22.6613 | + | 16.4644i | 1.19602 | + | 0.868958i | 0.993887 | − | 0.110401i | \(-0.0352134\pi\) |
0.202131 | + | 0.979359i | \(0.435213\pi\) | |||||||
\(360\) | 1.17755 | + | 3.97026i | 0.0620624 | + | 0.209251i | ||||
\(361\) | −7.58651 | + | 1.20159i | −0.399290 | + | 0.0632414i | ||||
\(362\) | −15.0809 | + | 17.6574i | −0.792633 | + | 0.928054i | ||||
\(363\) | −13.2846 | − | 4.50692i | −0.697260 | − | 0.236552i | ||||
\(364\) | −0.219191 | + | 1.38392i | −0.0114888 | + | 0.0725371i | ||||
\(365\) | −1.93700 | − | 2.66605i | −0.101387 | − | 0.139547i | ||||
\(366\) | 5.38282 | + | 37.0791i | 0.281364 | + | 1.93815i | ||||
\(367\) | −4.58343 | + | 8.99549i | −0.239253 | + | 0.469561i | −0.979144 | − | 0.203166i | \(-0.934877\pi\) |
0.739891 | + | 0.672727i | \(0.234877\pi\) | |||||||
\(368\) | −26.9155 | −1.40306 | ||||||||
\(369\) | 18.1125 | − | 6.39832i | 0.942897 | − | 0.333083i | ||||
\(370\) | −6.18564 | −0.321576 | ||||||||
\(371\) | −2.31606 | + | 4.54553i | −0.120244 | + | 0.235992i | ||||
\(372\) | −1.14264 | − | 7.87100i | −0.0592433 | − | 0.408092i | ||||
\(373\) | −18.8580 | − | 25.9559i | −0.976433 | − | 1.34394i | −0.938729 | − | 0.344655i | \(-0.887996\pi\) |
−0.0377034 | − | 0.999289i | \(-0.512004\pi\) | |||||||
\(374\) | 1.02088 | − | 6.44555i | 0.0527882 | − | 0.333292i | ||||
\(375\) | −10.3515 | − | 3.51185i | −0.534550 | − | 0.181351i | ||||
\(376\) | −10.3956 | + | 12.1716i | −0.536110 | + | 0.627705i | ||||
\(377\) | −0.853032 | + | 0.135107i | −0.0439334 | + | 0.00695837i | ||||
\(378\) | −10.5848 | + | 11.4626i | −0.544423 | + | 0.589573i | ||||
\(379\) | 0.915158 | + | 0.664901i | 0.0470085 | + | 0.0341537i | 0.611041 | − | 0.791599i | \(-0.290751\pi\) |
−0.564033 | + | 0.825752i | \(0.690751\pi\) | |||||||
\(380\) | −1.30887 | − | 2.13588i | −0.0671435 | − | 0.109568i | ||||
\(381\) | 6.63600 | − | 6.46676i | 0.339973 | − | 0.331302i | ||||
\(382\) | −0.983135 | + | 12.4919i | −0.0503016 | + | 0.639142i | ||||
\(383\) | 9.41869 | + | 22.7387i | 0.481272 | + | 1.16189i | 0.959005 | + | 0.283389i | \(0.0914587\pi\) |
−0.477733 | + | 0.878505i | \(0.658541\pi\) | |||||||
\(384\) | −23.1878 | − | 0.299495i | −1.18330 | − | 0.0152836i | ||||
\(385\) | −0.630518 | + | 1.94054i | −0.0321342 | + | 0.0988989i | ||||
\(386\) | −0.814378 | + | 3.39213i | −0.0414507 | + | 0.172655i | ||||
\(387\) | 26.0927 | + | 4.82657i | 1.32637 | + | 0.245349i | ||||
\(388\) | −0.559559 | − | 7.10987i | −0.0284073 | − | 0.360949i | ||||
\(389\) | −3.05631 | + | 1.55727i | −0.154961 | + | 0.0789565i | −0.529751 | − | 0.848153i | \(-0.677715\pi\) |
0.374790 | + | 0.927110i | \(0.377715\pi\) | |||||||
\(390\) | −1.67855 | − | 1.05868i | −0.0849968 | − | 0.0536082i | ||||
\(391\) | −12.6107 | + | 0.992487i | −0.637753 | + | 0.0501922i | ||||
\(392\) | 2.39424 | + | 7.36871i | 0.120927 | + | 0.372176i | ||||
\(393\) | 1.19525 | + | 3.84696i | 0.0602924 | + | 0.194054i | ||||
\(394\) | −14.5895 | − | 4.74043i | −0.735010 | − | 0.238819i | ||||
\(395\) | −3.80301 | − | 2.33049i | −0.191350 | − | 0.117260i | ||||
\(396\) | −0.391241 | + | 3.73496i | −0.0196606 | + | 0.187689i | ||||
\(397\) | −0.596779 | − | 0.0469675i | −0.0299515 | − | 0.00235723i | 0.0634745 | − | 0.997983i | \(-0.479782\pi\) |
−0.0934260 | + | 0.995626i | \(0.529782\pi\) | |||||||
\(398\) | −1.91058 | − | 7.95815i | −0.0957689 | − | 0.398906i | ||||
\(399\) | −7.56087 | + | 14.3769i | −0.378517 | + | 0.719747i | ||||
\(400\) | 13.2267 | − | 18.2049i | 0.661333 | − | 0.910247i | ||||
\(401\) | −15.1158 | − | 15.1158i | −0.754846 | − | 0.754846i | 0.220533 | − | 0.975379i | \(-0.429220\pi\) |
−0.975379 | + | 0.220533i | \(0.929220\pi\) | |||||||
\(402\) | 25.6048 | − | 21.3028i | 1.27705 | − | 1.06249i | ||||
\(403\) | −4.98830 | − | 4.26041i | −0.248485 | − | 0.212226i | ||||
\(404\) | −1.75647 | − | 2.05656i | −0.0873875 | − | 0.102318i | ||||
\(405\) | −2.41918 | − | 5.42337i | −0.120210 | − | 0.269489i | ||||
\(406\) | −1.99812 | + | 1.45172i | −0.0991649 | + | 0.0720475i | ||||
\(407\) | 8.91965 | + | 3.69464i | 0.442130 | + | 0.183136i | ||||
\(408\) | −8.37731 | + | 0.550547i | −0.414739 | + | 0.0272561i | ||||
\(409\) | 12.6108i | 0.623565i | 0.950154 | + | 0.311782i | \(0.100926\pi\) | ||||
−0.950154 | + | 0.311782i | \(0.899074\pi\) | |||||||
\(410\) | 5.85567 | + | 3.81202i | 0.289191 | + | 0.188262i | ||||
\(411\) | 23.2132 | − | 13.8159i | 1.14502 | − | 0.681488i | ||||
\(412\) | −11.1327 | − | 5.67241i | −0.548471 | − | 0.279460i | ||||
\(413\) | 8.79691 | − | 21.2376i | 0.432868 | − | 1.04503i | ||||
\(414\) | 26.8548 | − | 3.54505i | 1.31984 | − | 0.174230i | ||||
\(415\) | −4.13663 | − | 0.655177i | −0.203059 | − | 0.0321614i | ||||
\(416\) | 3.16864 | − | 2.70627i | 0.155355 | − | 0.132686i | ||||
\(417\) | 9.79556 | + | 1.68142i | 0.479691 | + | 0.0823397i | ||||
\(418\) | 2.27598 | + | 14.3700i | 0.111322 | + | 0.702858i | ||||
\(419\) | −12.8054 | + | 12.8054i | −0.625586 | + | 0.625586i | −0.946954 | − | 0.321369i | \(-0.895857\pi\) |
0.321369 | + | 0.946954i | \(0.395857\pi\) | |||||||
\(420\) | −1.51872 | − | 0.139283i | −0.0741060 | − | 0.00679633i | ||||
\(421\) | −15.9676 | + | 9.78497i | −0.778214 | + | 0.476890i | −0.854025 | − | 0.520232i | \(-0.825846\pi\) |
0.0758108 | + | 0.997122i | \(0.475846\pi\) | |||||||
\(422\) | −7.49978 | + | 1.80054i | −0.365084 | + | 0.0876488i | ||||
\(423\) | 12.4947 | − | 19.2549i | 0.607514 | − | 0.936205i | ||||
\(424\) | 5.43082 | − | 2.24952i | 0.263744 | − | 0.109246i | ||||
\(425\) | 5.52581 | − | 9.01731i | 0.268041 | − | 0.437404i | ||||
\(426\) | −26.6604 | + | 6.03753i | −1.29170 | + | 0.292519i | ||||
\(427\) | 23.0929 | + | 5.54411i | 1.11754 | + | 0.268298i | ||||
\(428\) | 9.27062 | − | 3.01221i | 0.448112 | − | 0.145601i | ||||
\(429\) | 1.78812 | + | 2.52919i | 0.0863312 | + | 0.122111i | ||||
\(430\) | 4.38187 | + | 8.59990i | 0.211312 | + | 0.414724i | ||||
\(431\) | −15.7110 | − | 30.8345i | −0.756770 | − | 1.48524i | −0.870731 | − | 0.491760i | \(-0.836354\pi\) |
0.113961 | − | 0.993485i | \(-0.463646\pi\) | |||||||
\(432\) | 25.4367 | − | 3.02414i | 1.22382 | − | 0.145499i | ||||
\(433\) | 34.1223 | − | 11.0870i | 1.63981 | − | 0.532808i | 0.663316 | − | 0.748339i | \(-0.269148\pi\) |
0.976497 | + | 0.215532i | \(0.0691484\pi\) | |||||||
\(434\) | −18.2413 | − | 4.37936i | −0.875612 | − | 0.210216i | ||||
\(435\) | −0.207627 | − | 0.916834i | −0.00995494 | − | 0.0439588i | ||||
\(436\) | 2.75790 | − | 4.50049i | 0.132080 | − | 0.215534i | ||||
\(437\) | 26.0551 | − | 10.7924i | 1.24638 | − | 0.516269i | ||||
\(438\) | −12.8295 | + | 6.32960i | −0.613018 | + | 0.302440i | ||||
\(439\) | 14.7160 | − | 3.53301i | 0.702358 | − | 0.168621i | 0.133490 | − | 0.991050i | \(-0.457381\pi\) |
0.568868 | + | 0.822429i | \(0.307381\pi\) | |||||||
\(440\) | 2.00460 | − | 1.22842i | 0.0955656 | − | 0.0585626i | ||||
\(441\) | −4.78668 | − | 10.0265i | −0.227937 | − | 0.477451i | ||||
\(442\) | 2.84482 | − | 2.84482i | 0.135314 | − | 0.135314i | ||||
\(443\) | 5.45426 | + | 34.4368i | 0.259140 | + | 1.63614i | 0.683002 | + | 0.730417i | \(0.260674\pi\) |
−0.423862 | + | 0.905727i | \(0.639326\pi\) | |||||||
\(444\) | −1.22083 | + | 7.11226i | −0.0579381 | + | 0.337533i | ||||
\(445\) | −5.13313 | + | 4.38411i | −0.243334 | + | 0.207827i | ||||
\(446\) | 3.18210 | + | 0.503996i | 0.150677 | + | 0.0238649i | ||||
\(447\) | −7.09515 | + | 16.5224i | −0.335589 | + | 0.781481i | ||||
\(448\) | −2.29031 | + | 5.52930i | −0.108207 | + | 0.261235i | ||||
\(449\) | 15.7430 | + | 8.02145i | 0.742957 | + | 0.378556i | 0.784130 | − | 0.620596i | \(-0.213109\pi\) |
−0.0411730 | + | 0.999152i | \(0.513109\pi\) | |||||||
\(450\) | −10.7991 | + | 19.9060i | −0.509074 | + | 0.938379i | ||||
\(451\) | −6.16695 | − | 8.99447i | −0.290390 | − | 0.423533i | ||||
\(452\) | − | 4.57866i | − | 0.215362i | ||||||
\(453\) | 1.38330 | + | 21.0487i | 0.0649929 | + | 0.988954i | ||||
\(454\) | 30.1518 | + | 12.4893i | 1.41509 | + | 0.586152i | ||||
\(455\) | −1.01766 | + | 0.739374i | −0.0477087 | + | 0.0346624i | ||||
\(456\) | 17.3833 | − | 6.93876i | 0.814048 | − | 0.324937i | ||||
\(457\) | −1.05245 | − | 1.23226i | −0.0492316 | − | 0.0576428i | 0.735244 | − | 0.677803i | \(-0.237068\pi\) |
−0.784475 | + | 0.620160i | \(0.787068\pi\) | |||||||
\(458\) | 14.8716 | + | 12.7016i | 0.694905 | + | 0.593505i | ||||
\(459\) | 11.8064 | − | 2.35486i | 0.551074 | − | 0.109916i | ||||
\(460\) | 1.87227 | + | 1.87227i | 0.0872952 | + | 0.0872952i | ||||
\(461\) | −5.64169 | + | 7.76512i | −0.262760 | + | 0.361658i | −0.919929 | − | 0.392086i | \(-0.871754\pi\) |
0.657169 | + | 0.753743i | \(0.271754\pi\) | |||||||
\(462\) | 7.83969 | + | 4.12291i | 0.364735 | + | 0.191815i | ||||
\(463\) | −6.24038 | − | 25.9930i | −0.290015 | − | 1.20800i | −0.907036 | − | 0.421052i | \(-0.861661\pi\) |
0.617021 | − | 0.786946i | \(-0.288339\pi\) | |||||||
\(464\) | 4.04245 | + | 0.318147i | 0.187666 | + | 0.0147696i | ||||
\(465\) | 4.27118 | − | 5.72189i | 0.198071 | − | 0.265346i | ||||
\(466\) | 26.5095 | + | 16.2450i | 1.22803 | + | 0.752536i | ||||
\(467\) | −27.9018 | − | 9.06585i | −1.29114 | − | 0.419518i | −0.418651 | − | 0.908147i | \(-0.637497\pi\) |
−0.872491 | + | 0.488630i | \(0.837497\pi\) | |||||||
\(468\) | −1.54856 | + | 1.72106i | −0.0715822 | + | 0.0795559i | ||||
\(469\) | −6.52407 | − | 20.0790i | −0.301254 | − | 0.927164i | ||||
\(470\) | 8.32335 | − | 0.655062i | 0.383927 | − | 0.0302157i | ||||
\(471\) | −3.71191 | + | 5.88530i | −0.171036 | + | 0.271180i | ||||
\(472\) | −23.6003 | + | 12.0250i | −1.08629 | + | 0.553494i | ||||
\(473\) | −1.18196 | − | 15.0183i | −0.0543467 | − | 0.690540i | ||||
\(474\) | −12.7642 | + | 14.5600i | −0.586281 | + | 0.668761i | ||||
\(475\) | −5.50417 | + | 22.9265i | −0.252549 | + | 1.05194i | ||||
\(476\) | 0.955417 | − | 2.94047i | 0.0437915 | − | 0.134776i | ||||
\(477\) | −7.29861 | + | 4.21726i | −0.334181 | + | 0.193095i | ||||
\(478\) | 10.2064 | + | 24.6404i | 0.466829 | + | 1.12703i | ||||
\(479\) | −0.776264 | + | 9.86337i | −0.0354684 | + | 0.450669i | 0.953383 | + | 0.301763i | \(0.0975751\pi\) |
−0.988851 | + | 0.148906i | \(0.952425\pi\) | |||||||
\(480\) | 3.16545 | + | 3.24829i | 0.144482 | + | 0.148263i | ||||
\(481\) | 3.10991 | + | 5.07491i | 0.141800 | + | 0.231396i | ||||
\(482\) | 20.5068 | + | 14.8990i | 0.934057 | + | 0.678632i | ||||
\(483\) | 4.22348 | − | 16.6422i | 0.192175 | − | 0.757244i | ||||
\(484\) | −5.87951 | + | 0.931222i | −0.267250 | + | 0.0423283i | ||||
\(485\) | 4.15816 | − | 4.86858i | 0.188812 | − | 0.221071i | ||||
\(486\) | −24.9811 | + | 6.36761i | −1.13316 | + | 0.288841i | ||||
\(487\) | 5.08077 | − | 32.0787i | 0.230231 | − | 1.45362i | −0.553668 | − | 0.832737i | \(-0.686773\pi\) |
0.783900 | − | 0.620887i | \(-0.213227\pi\) | |||||||
\(488\) | −16.0847 | − | 22.1386i | −0.728118 | − | 1.00217i | ||||
\(489\) | −39.4499 | + | 5.72700i | −1.78399 | + | 0.258984i | ||||
\(490\) | 1.83471 | − | 3.60082i | 0.0828836 | − | 0.162668i | ||||
\(491\) | 10.9443 | 0.493907 | 0.246954 | − | 0.969027i | \(-0.420570\pi\) | ||||
0.246954 | + | 0.969027i | \(0.420570\pi\) | |||||||
\(492\) | 5.53878 | − | 5.98051i | 0.249708 | − | 0.269622i | ||||
\(493\) | 1.90575 | 0.0858304 | ||||||||
\(494\) | −4.07205 | + | 7.99184i | −0.183210 | + | 0.359570i | ||||
\(495\) | −2.61932 | + | 2.12260i | −0.117730 | + | 0.0954039i | ||||
\(496\) | 18.1036 | + | 24.9175i | 0.812877 | + | 1.11883i | ||||
\(497\) | −2.71049 | + | 17.1134i | −0.121582 | + | 0.767640i | ||||
\(498\) | −5.84129 | + | 17.2178i | −0.261754 | + | 0.771546i | ||||
\(499\) | 13.0126 | − | 15.2358i | 0.582524 | − | 0.682048i | −0.388385 | − | 0.921497i | \(-0.626967\pi\) |
0.970909 | + | 0.239449i | \(0.0769668\pi\) | |||||||
\(500\) | −4.58138 | + | 0.725620i | −0.204886 | + | 0.0324507i | ||||
\(501\) | −40.8239 | − | 10.3604i | −1.82388 | − | 0.462866i | ||||
\(502\) | 22.2298 | + | 16.1509i | 0.992165 | + | 0.720850i | ||||
\(503\) | −5.44374 | − | 8.88338i | −0.242724 | − | 0.396090i | 0.707959 | − | 0.706254i | \(-0.249616\pi\) |
−0.950683 | + | 0.310163i | \(0.899616\pi\) | |||||||
\(504\) | 2.94545 | − | 11.0080i | 0.131201 | − | 0.490333i | ||||
\(505\) | 0.190499 | − | 2.42052i | 0.00847710 | − | 0.107712i | ||||
\(506\) | −5.88504 | − | 14.2077i | −0.261622 | − | 0.631611i | ||||
\(507\) | 0.266140 | − | 20.6054i | 0.0118197 | − | 0.915117i | ||||
\(508\) | 1.21502 | − | 3.73945i | 0.0539078 | − | 0.165911i | ||||
\(509\) | 0.209017 | − | 0.870619i | 0.00926452 | − | 0.0385895i | −0.967546 | − | 0.252694i | \(-0.918683\pi\) |
0.976811 | + | 0.214105i | \(0.0686834\pi\) | |||||||
\(510\) | 3.29281 | + | 2.88670i | 0.145808 | + | 0.127825i | ||||
\(511\) | 0.711458 | + | 9.03994i | 0.0314731 | + | 0.399903i | ||||
\(512\) | 0.946533 | − | 0.482283i | 0.0418312 | − | 0.0213141i | ||||
\(513\) | −23.4110 | + | 13.1269i | −1.03362 | + | 0.579566i | ||||
\(514\) | −50.7592 | + | 3.99484i | −2.23889 | + | 0.176205i | ||||
\(515\) | −3.46623 | − | 10.6680i | −0.152740 | − | 0.470087i | ||||
\(516\) | 10.7530 | − | 3.34096i | 0.473375 | − | 0.147078i | ||||
\(517\) | −12.3935 | − | 4.02688i | −0.545064 | − | 0.177102i | ||||
\(518\) | 14.5126 | + | 8.89335i | 0.637648 | + | 0.390751i | ||||
\(519\) | −24.5804 | − | 18.3483i | −1.07896 | − | 0.805403i | ||||
\(520\) | 1.44494 | + | 0.113720i | 0.0633650 | + | 0.00498693i | ||||
\(521\) | 7.01114 | + | 29.2035i | 0.307164 | + | 1.27943i | 0.885886 | + | 0.463904i | \(0.153552\pi\) |
−0.578722 | + | 0.815525i | \(0.696448\pi\) | |||||||
\(522\) | −4.07525 | + | 0.215002i | −0.178369 | + | 0.00941037i | ||||
\(523\) | 2.36202 | − | 3.25104i | 0.103284 | − | 0.142158i | −0.754247 | − | 0.656591i | \(-0.771998\pi\) |
0.857530 | + | 0.514433i | \(0.171998\pi\) | |||||||
\(524\) | 1.20873 | + | 1.20873i | 0.0528038 | + | 0.0528038i | ||||
\(525\) | 9.18086 | + | 11.0349i | 0.400685 | + | 0.481601i | ||||
\(526\) | 6.34446 | + | 5.41868i | 0.276632 | + | 0.236266i | ||||
\(527\) | 9.40094 | + | 11.0071i | 0.409511 | + | 0.479476i | ||||
\(528\) | −5.39125 | − | 13.5064i | −0.234624 | − | 0.587791i | ||||
\(529\) | −5.50878 | + | 4.00236i | −0.239512 | + | 0.174016i | ||||
\(530\) | −2.83270 | − | 1.17334i | −0.123045 | − | 0.0509667i | ||||
\(531\) | 31.2949 | − | 21.5245i | 1.35808 | − | 0.934084i | ||||
\(532\) | 6.89297i | 0.298848i | ||||||||
\(533\) | 0.183500 | − | 6.72074i | 0.00794825 | − | 0.291107i | ||||
\(534\) | 14.9879 | + | 25.1824i | 0.648590 | + | 1.08975i | ||||
\(535\) | 7.79718 | + | 3.97286i | 0.337101 | + | 0.171762i | ||||
\(536\) | −9.30942 | + | 22.4749i | −0.402106 | + | 0.970769i | ||||
\(537\) | −22.8200 | − | 9.79954i | −0.984757 | − | 0.422881i | ||||
\(538\) | −5.21036 | − | 0.825240i | −0.224635 | − | 0.0355786i | ||||
\(539\) | −4.79638 | + | 4.09649i | −0.206595 | + | 0.176449i | ||||
\(540\) | −1.97977 | − | 1.55904i | −0.0851958 | − | 0.0670906i | ||||
\(541\) | 3.59781 | + | 22.7157i | 0.154682 | + | 0.976624i | 0.935874 | + | 0.352334i | \(0.114612\pi\) |
−0.781192 | + | 0.624290i | \(0.785388\pi\) | |||||||
\(542\) | 28.4560 | − | 28.4560i | 1.22229 | − | 1.22229i | ||||
\(543\) | −2.22110 | + | 24.2185i | −0.0953165 | + | 1.03931i | ||||
\(544\) | −7.83992 | + | 4.80431i | −0.336134 | + | 0.205983i | ||||
\(545\) | 4.60765 | − | 1.10620i | 0.197370 | − | 0.0473843i | ||||
\(546\) | 2.41608 | + | 4.89717i | 0.103399 | + | 0.209580i | ||||
\(547\) | 20.9888 | − | 8.69384i | 0.897416 | − | 0.371722i | 0.114190 | − | 0.993459i | \(-0.463573\pi\) |
0.783226 | + | 0.621737i | \(0.213573\pi\) | |||||||
\(548\) | 5.98940 | − | 9.77382i | 0.255855 | − | 0.417517i | ||||
\(549\) | 27.0217 | + | 28.4550i | 1.15326 | + | 1.21443i | ||||
\(550\) | 12.5017 | + | 3.00140i | 0.533076 | + | 0.127980i | ||||
\(551\) | −4.04079 | + | 1.31293i | −0.172144 | + | 0.0559329i | ||||
\(552\) | −16.1543 | + | 11.4209i | −0.687572 | + | 0.486108i | ||||
\(553\) | 5.57191 | + | 10.9355i | 0.236942 | + | 0.465025i | ||||
\(554\) | 6.16339 | + | 12.0963i | 0.261857 | + | 0.513924i | ||||
\(555\) | −5.28988 | + | 3.73990i | −0.224543 | + | 0.158750i | ||||
\(556\) | 4.01105 | − | 1.30327i | 0.170106 | − | 0.0552709i | ||||
\(557\) | −21.1591 | − | 5.07985i | −0.896539 | − | 0.215240i | −0.241111 | − | 0.970498i | \(-0.577512\pi\) |
−0.655428 | + | 0.755257i | \(0.727512\pi\) | |||||||
\(558\) | −21.3448 | − | 22.4770i | −0.903595 | − | 0.951525i | ||||
\(559\) | 4.85261 | − | 7.91875i | 0.205244 | − | 0.334927i | ||||
\(560\) | 5.45633 | − | 2.26008i | 0.230572 | − | 0.0955060i | ||||
\(561\) | −3.02401 | − | 6.12938i | −0.127674 | − | 0.258783i | ||||
\(562\) | −12.6337 | + | 3.03308i | −0.532920 | + | 0.127943i | ||||
\(563\) | 12.3456 | − | 7.56542i | 0.520307 | − | 0.318844i | −0.237430 | − | 0.971405i | \(-0.576305\pi\) |
0.757737 | + | 0.652560i | \(0.226305\pi\) | |||||||
\(564\) | 0.889550 | − | 9.69950i | 0.0374568 | − | 0.408422i | ||||
\(565\) | 2.90655 | − | 2.90655i | 0.122279 | − | 0.122279i | ||||
\(566\) | −0.0944248 | − | 0.596175i | −0.00396897 | − | 0.0250591i | ||||
\(567\) | −2.12157 | + | 16.2024i | −0.0890975 | + | 0.680435i | ||||
\(568\) | 15.1813 | − | 12.9660i | 0.636992 | − | 0.544042i | ||||
\(569\) | 4.91896 | + | 0.779087i | 0.206213 | + | 0.0326610i | 0.258686 | − | 0.965961i | \(-0.416710\pi\) |
−0.0524730 | + | 0.998622i | \(0.516710\pi\) | |||||||
\(570\) | −8.97058 | − | 3.85221i | −0.375736 | − | 0.161351i | ||||
\(571\) | 0.518304 | − | 1.25130i | 0.0216903 | − | 0.0523651i | −0.912663 | − | 0.408712i | \(-0.865978\pi\) |
0.934354 | + | 0.356347i | \(0.115978\pi\) | |||||||
\(572\) | 1.17112 | + | 0.596716i | 0.0489670 | + | 0.0249499i | ||||
\(573\) | 6.71198 | + | 11.2773i | 0.280397 | + | 0.471118i | ||||
\(574\) | −8.25776 | − | 17.3626i | −0.344672 | − | 0.724702i | ||||
\(575\) | − | 24.9219i | − | 1.03931i | ||||||
\(576\) | −8.14776 | + | 5.60399i | −0.339490 | + | 0.233500i | ||||
\(577\) | 13.1215 | + | 5.43511i | 0.546256 | + | 0.226267i | 0.638706 | − | 0.769451i | \(-0.279470\pi\) |
−0.0924502 | + | 0.995717i | \(0.529470\pi\) | |||||||
\(578\) | 15.5629 | − | 11.3071i | 0.647330 | − | 0.470313i | ||||
\(579\) | 1.35447 | + | 3.39328i | 0.0562899 | + | 0.141020i | ||||
\(580\) | −0.259067 | − | 0.303328i | −0.0107572 | − | 0.0125950i | ||||
\(581\) | 8.76330 | + | 7.48456i | 0.363563 | + | 0.310512i | ||||
\(582\) | −17.7768 | − | 21.3667i | −0.736871 | − | 0.885677i | ||||
\(583\) | 3.38390 | + | 3.38390i | 0.140147 | + | 0.140147i | ||||
\(584\) | 6.14146 | − | 8.45299i | 0.254135 | − | 0.349787i | ||||
\(585\) | −2.07556 | + | 0.109503i | −0.0858140 | + | 0.00452737i | ||||
\(586\) | 5.78414 | + | 24.0927i | 0.238941 | + | 0.995260i | ||||
\(587\) | −25.3959 | − | 1.99870i | −1.04820 | − | 0.0824951i | −0.457358 | − | 0.889283i | \(-0.651204\pi\) |
−0.590842 | + | 0.806788i | \(0.701204\pi\) | |||||||
\(588\) | −3.77812 | − | 2.82023i | −0.155807 | − | 0.116304i | ||||
\(589\) | −27.5162 | − | 16.8619i | −1.13378 | − | 0.694784i | ||||
\(590\) | 13.1395 | + | 4.26928i | 0.540944 | + | 0.175763i | ||||
\(591\) | −15.3429 | + | 4.76703i | −0.631122 | + | 0.196090i | ||||
\(592\) | −8.63543 | − | 26.5771i | −0.354914 | − | 1.09231i | ||||
\(593\) | 4.18973 | − | 0.329739i | 0.172052 | − | 0.0135408i | 0.00785942 | − | 0.999969i | \(-0.497498\pi\) |
0.164192 | + | 0.986428i | \(0.447498\pi\) | |||||||
\(594\) | 7.15804 | + | 12.7659i | 0.293698 | + | 0.523792i | ||||
\(595\) | 2.47312 | − | 1.26012i | 0.101388 | − | 0.0516598i | ||||
\(596\) | 0.598664 | + | 7.60674i | 0.0245222 | + | 0.311584i | ||||
\(597\) | −6.44549 | − | 5.65055i | −0.263796 | − | 0.231262i | ||||
\(598\) | 2.21322 | − | 9.21873i | 0.0905053 | − | 0.376982i | ||||
\(599\) | 1.63935 | − | 5.04541i | 0.0669822 | − | 0.206150i | −0.911963 | − | 0.410272i | \(-0.865434\pi\) |
0.978945 | + | 0.204122i | \(0.0654339\pi\) | |||||||
\(600\) | 0.213616 | − | 16.5388i | 0.00872083 | − | 0.675193i | ||||
\(601\) | −15.1996 | − | 36.6951i | −0.620005 | − | 1.49683i | −0.851696 | − | 0.524036i | \(-0.824426\pi\) |
0.231691 | − | 0.972789i | \(-0.425574\pi\) | |||||||
\(602\) | 2.08378 | − | 26.4769i | 0.0849285 | − | 1.07912i | ||||
\(603\) | 9.01696 | − | 33.6988i | 0.367199 | − | 1.37232i | ||||
\(604\) | 4.67695 | + | 7.63209i | 0.190303 | + | 0.310545i | ||||
\(605\) | −4.32347 | − | 3.14119i | −0.175774 | − | 0.127707i | ||||
\(606\) | −10.2165 | − | 2.59276i | −0.415018 | − | 0.105324i | ||||
\(607\) | −14.0915 | + | 2.23187i | −0.571956 | + | 0.0905889i | −0.435711 | − | 0.900086i | \(-0.643503\pi\) |
−0.136244 | + | 0.990675i | \(0.543503\pi\) | |||||||
\(608\) | 13.3133 | − | 15.5879i | 0.539926 | − | 0.632172i | ||||
\(609\) | −0.831041 | + | 2.44957i | −0.0336755 | + | 0.0992617i | ||||
\(610\) | −2.23286 | + | 14.0977i | −0.0904057 | + | 0.570799i | ||||
\(611\) | −4.72210 | − | 6.49942i | −0.191036 | − | 0.262938i | ||||
\(612\) | 3.96903 | − | 3.21635i | 0.160439 | − | 0.130013i | ||||
\(613\) | −22.3646 | + | 43.8930i | −0.903297 | + | 1.77282i | −0.361265 | + | 0.932463i | \(0.617655\pi\) |
−0.542032 | + | 0.840358i | \(0.682345\pi\) | |||||||
\(614\) | −6.61409 | −0.266923 | ||||||||
\(615\) | 7.31248 | − | 0.280409i | 0.294868 | − | 0.0113072i | ||||
\(616\) | −6.46930 | −0.260656 | ||||||||
\(617\) | 6.65918 | − | 13.0694i | 0.268088 | − | 0.526153i | −0.717239 | − | 0.696827i | \(-0.754594\pi\) |
0.985328 | + | 0.170674i | \(0.0545945\pi\) | |||||||
\(618\) | −48.1896 | + | 6.99575i | −1.93847 | + | 0.281410i | ||||
\(619\) | −5.30148 | − | 7.29687i | −0.213085 | − | 0.293286i | 0.689073 | − | 0.724692i | \(-0.258018\pi\) |
−0.902158 | + | 0.431406i | \(0.858018\pi\) | |||||||
\(620\) | 0.473982 | − | 2.99260i | 0.0190356 | − | 0.120186i | ||||
\(621\) | 20.8225 | − | 19.2684i | 0.835580 | − | 0.773214i | ||||
\(622\) | 14.1804 | − | 16.6031i | 0.568581 | − | 0.665723i | ||||
\(623\) | 18.3465 | − | 2.90579i | 0.735036 | − | 0.116418i | ||||
\(624\) | 2.20537 | − | 8.69001i | 0.0882853 | − | 0.347879i | ||||
\(625\) | 15.0954 | + | 10.9674i | 0.603816 | + | 0.438698i | ||||
\(626\) | 11.2027 | + | 18.2811i | 0.447748 | + | 0.730659i | ||||
\(627\) | 10.6346 | + | 10.9129i | 0.424706 | + | 0.435820i | ||||
\(628\) | −0.231660 | + | 2.94351i | −0.00924423 | + | 0.117459i | ||||
\(629\) | −5.02599 | − | 12.1338i | −0.200399 | − | 0.483806i | ||||
\(630\) | −5.14636 | + | 2.97365i | −0.205036 | + | 0.118473i | ||||
\(631\) | −5.23698 | + | 16.1178i | −0.208481 | + | 0.641638i | 0.791072 | + | 0.611724i | \(0.209524\pi\) |
−0.999552 | + | 0.0299145i | \(0.990476\pi\) | |||||||
\(632\) | 3.30133 | − | 13.7510i | 0.131320 | − | 0.546987i | ||||
\(633\) | −5.32509 | + | 6.07424i | −0.211653 | + | 0.241429i | ||||
\(634\) | −3.61997 | − | 45.9960i | −0.143767 | − | 1.82674i | ||||
\(635\) | 3.14511 | − | 1.60251i | 0.124810 | − | 0.0635938i | ||||
\(636\) | −1.90819 | + | 3.02547i | −0.0756646 | + | 0.119968i | ||||
\(637\) | −3.87665 | + | 0.305099i | −0.153599 | + | 0.0120885i | ||||
\(638\) | 0.715938 | + | 2.20343i | 0.0283442 | + | 0.0872346i | ||||
\(639\) | −19.1493 | + | 21.2824i | −0.757534 | + | 0.841917i | ||||
\(640\) | −8.40182 | − | 2.72992i | −0.332111 | − | 0.107909i | ||||
\(641\) | −6.45533 | − | 3.95583i | −0.254970 | − | 0.156246i | 0.389140 | − | 0.921179i | \(-0.372772\pi\) |
−0.644110 | + | 0.764933i | \(0.722772\pi\) | |||||||
\(642\) | 22.7247 | − | 30.4432i | 0.896873 | − | 1.20150i | ||||
\(643\) | 7.46666 | + | 0.587639i | 0.294456 | + | 0.0231742i | 0.224827 | − | 0.974399i | \(-0.427818\pi\) |
0.0696293 | + | 0.997573i | \(0.477818\pi\) | |||||||
\(644\) | −1.70085 | − | 7.08453i | −0.0670227 | − | 0.279170i | ||||
\(645\) | 8.94691 | + | 4.70520i | 0.352284 | + | 0.185267i | ||||
\(646\) | 11.6333 | − | 16.0119i | 0.457707 | − | 0.629980i | ||||
\(647\) | 22.0459 | + | 22.0459i | 0.866713 | + | 0.866713i | 0.992107 | − | 0.125394i | \(-0.0400194\pi\) |
−0.125394 | + | 0.992107i | \(0.540019\pi\) | |||||||
\(648\) | 13.9835 | − | 12.6085i | 0.549324 | − | 0.495309i | ||||
\(649\) | −16.3970 | − | 14.0044i | −0.643640 | − | 0.549721i | ||||
\(650\) | 5.14771 | + | 6.02719i | 0.201910 | + | 0.236406i | ||||
\(651\) | −18.2476 | + | 7.28373i | −0.715178 | + | 0.285472i | ||||
\(652\) | −13.6851 | + | 9.94284i | −0.535951 | + | 0.389392i | ||||
\(653\) | −12.4132 | − | 5.14171i | −0.485766 | − | 0.201211i | 0.126339 | − | 0.991987i | \(-0.459677\pi\) |
−0.612105 | + | 0.790776i | \(0.709677\pi\) | |||||||
\(654\) | −1.34899 | − | 20.5267i | −0.0527496 | − | 0.802656i | ||||
\(655\) | 1.53462i | 0.0599625i | ||||||||
\(656\) | −8.20390 | + | 30.4812i | −0.320309 | + | 1.19009i | ||||
\(657\) | −7.14470 | + | 13.1699i | −0.278741 | + | 0.513805i | ||||
\(658\) | −20.4699 | − | 10.4299i | −0.797999 | − | 0.406601i | ||||
\(659\) | −11.4429 | + | 27.6255i | −0.445751 | + | 1.07614i | 0.528148 | + | 0.849152i | \(0.322887\pi\) |
−0.973898 | + | 0.226985i | \(0.927113\pi\) | |||||||
\(660\) | −0.564501 | + | 1.31455i | −0.0219732 | + | 0.0511686i | ||||
\(661\) | 30.5212 | + | 4.83409i | 1.18714 | + | 0.188024i | 0.718603 | − | 0.695421i | \(-0.244782\pi\) |
0.468535 | + | 0.883445i | \(0.344782\pi\) | |||||||
\(662\) | 42.4696 | − | 36.2724i | 1.65063 | − | 1.40977i | ||||
\(663\) | 0.712846 | − | 4.15286i | 0.0276847 | − | 0.161284i | ||||
\(664\) | −2.07731 | − | 13.1156i | −0.0806152 | − | 0.508984i | ||||
\(665\) | −4.37568 | + | 4.37568i | −0.169682 | + | 0.169682i | ||||
\(666\) | 12.1165 | + | 25.3799i | 0.469504 | + | 0.983451i | ||||
\(667\) | 3.82913 | − | 2.34649i | 0.148264 | − | 0.0908566i | ||||
\(668\) | −17.3786 | + | 4.17224i | −0.672400 | + | 0.161429i | ||||
\(669\) | 3.02602 | − | 1.49292i | 0.116993 | − | 0.0577197i | ||||
\(670\) | 11.7229 | − | 4.85577i | 0.452893 | − | 0.187595i | ||||
\(671\) | 11.6402 | − | 18.9951i | 0.449366 | − | 0.733299i | ||||
\(672\) | −2.75651 | − | 12.1722i | −0.106335 | − | 0.469551i | ||||
\(673\) | 4.36578 | + | 1.04813i | 0.168289 | + | 0.0404025i | 0.316714 | − | 0.948521i | \(-0.397420\pi\) |
−0.148425 | + | 0.988924i | \(0.547420\pi\) | |||||||
\(674\) | 4.88745 | − | 1.58803i | 0.188258 | − | 0.0611686i | ||||
\(675\) | 2.80015 | + | 23.5526i | 0.107778 | + | 0.906541i | ||||
\(676\) | −3.96991 | − | 7.79138i | −0.152689 | − | 0.299668i | ||||
\(677\) | −9.94667 | − | 19.5214i | −0.382282 | − | 0.750270i | 0.617046 | − | 0.786927i | \(-0.288329\pi\) |
−0.999328 | + | 0.0366569i | \(0.988329\pi\) | |||||||
\(678\) | −10.3013 | − | 14.5706i | −0.395619 | − | 0.559580i | ||||
\(679\) | −16.7555 | + | 5.44421i | −0.643019 | + | 0.208929i | ||||
\(680\) | −3.10987 | − | 0.746615i | −0.119258 | − | 0.0286314i | ||||
\(681\) | 33.3366 | − | 7.54942i | 1.27746 | − | 0.289295i | ||||
\(682\) | −9.19475 | + | 15.0045i | −0.352085 | + | 0.574551i | ||||
\(683\) | −6.49851 | + | 2.69177i | −0.248658 | + | 0.102998i | −0.503532 | − | 0.863977i | \(-0.667966\pi\) |
0.254873 | + | 0.966974i | \(0.417966\pi\) | |||||||
\(684\) | −6.19977 | + | 9.55411i | −0.237054 | + | 0.365310i | ||||
\(685\) | 10.0065 | − | 2.40236i | 0.382330 | − | 0.0917894i | ||||
\(686\) | −27.4028 | + | 16.7925i | −1.04625 | + | 0.641140i | ||||
\(687\) | 20.3975 | + | 1.87068i | 0.778214 | + | 0.0713708i | ||||
\(688\) | −30.8330 | + | 30.8330i | −1.17550 | + | 1.17550i | ||||
\(689\) | 0.461525 | + | 2.91395i | 0.0175827 | + | 0.111013i | ||||
\(690\) | 10.1704 | + | 1.74577i | 0.387181 | + | 0.0664603i | ||||
\(691\) | 5.76543 | − | 4.92414i | 0.219327 | − | 0.187323i | −0.532995 | − | 0.846118i | \(-0.678934\pi\) |
0.752322 | + | 0.658795i | \(0.228934\pi\) | |||||||
\(692\) | −12.8558 | − | 2.03615i | −0.488703 | − | 0.0774030i | ||||
\(693\) | 9.19716 | − | 1.21410i | 0.349371 | − | 0.0461197i | ||||
\(694\) | 4.78772 | − | 11.5586i | 0.181740 | − | 0.438758i | ||||
\(695\) | 3.37355 | + | 1.71891i | 0.127966 | + | 0.0652019i | ||||
\(696\) | 2.56122 | − | 1.52437i | 0.0970827 | − | 0.0577811i | ||||
\(697\) | −2.71982 | + | 14.5839i | −0.103020 | + | 0.552405i | ||||
\(698\) | 35.3539i | 1.33817i | ||||||||
\(699\) | 32.4925 | − | 2.13537i | 1.22898 | − | 0.0807670i | ||||
\(700\) | 5.62762 | + | 2.33104i | 0.212704 | + | 0.0881049i | ||||
\(701\) | −38.2923 | + | 27.8210i | −1.44628 | + | 1.05078i | −0.459597 | + | 0.888128i | \(0.652006\pi\) |
−0.986683 | + | 0.162656i | \(0.947994\pi\) | |||||||
\(702\) | −1.05583 | + | 8.96091i | −0.0398499 | + | 0.338208i | ||||
\(703\) | 19.0161 | + | 22.2650i | 0.717206 | + | 0.839741i | ||||
\(704\) | 4.26904 | + | 3.64610i | 0.160895 | + | 0.137418i | ||||
\(705\) | 6.72196 | − | 5.59258i | 0.253164 | − | 0.210629i | ||||
\(706\) | 9.70114 | + | 9.70114i | 0.365107 | + | 0.365107i | ||||
\(707\) | −3.92703 | + | 5.40509i | −0.147691 | + | 0.203279i | ||||
\(708\) | 7.50211 | − | 14.2652i | 0.281947 | − | 0.536120i | ||||
\(709\) | −5.96740 | − | 24.8560i | −0.224111 | − | 0.933488i | −0.965081 | − | 0.261950i | \(-0.915634\pi\) |
0.740971 | − | 0.671537i | \(-0.234366\pi\) | |||||||
\(710\) | −10.3814 | − | 0.817035i | −0.389608 | − | 0.0306628i | ||||
\(711\) | −2.11271 | + | 20.1689i | −0.0792330 | + | 0.756393i | ||||
\(712\) | −18.2492 | − | 11.1831i | −0.683919 | − | 0.419106i | ||||
\(713\) | 32.4416 | + | 10.5409i | 1.21495 | + | 0.394760i | ||||
\(714\) | −3.57520 | − | 11.5069i | −0.133799 | − | 0.430637i | ||||
\(715\) | 0.364634 | + | 1.12223i | 0.0136365 | + | 0.0419690i | ||||
\(716\) | −10.5061 | + | 0.826850i | −0.392633 | + | 0.0309008i | ||||
\(717\) | 23.6262 | + | 14.9013i | 0.882338 | + | 0.556498i | ||||
\(718\) | 41.2748 | − | 21.0306i | 1.54036 | − | 0.784854i | ||||
\(719\) | −2.83994 | − | 36.0849i | −0.105912 | − | 1.34574i | −0.788544 | − | 0.614978i | \(-0.789165\pi\) |
0.682632 | − | 0.730762i | \(-0.260835\pi\) | |||||||
\(720\) | 9.59562 | + | 1.77498i | 0.357608 | + | 0.0661495i | ||||
\(721\) | −7.20537 | + | 30.0125i | −0.268342 | + | 1.11772i | ||||
\(722\) | −3.92538 | + | 12.0811i | −0.146088 | + | 0.449612i | ||||
\(723\) | 26.5452 | + | 0.342860i | 0.987227 | + | 0.0127511i | ||||
\(724\) | 3.94931 | + | 9.53448i | 0.146775 | + | 0.354346i | ||||
\(725\) | −0.294583 | + | 3.74303i | −0.0109405 | + | 0.139013i | ||||
\(726\) | −16.6151 | + | 16.1914i | −0.616645 | + | 0.600919i | ||||
\(727\) | −25.4281 | − | 41.4949i | −0.943077 | − | 1.53896i | −0.838819 | − | 0.544411i | \(-0.816753\pi\) |
−0.104258 | − | 0.994550i | \(-0.533247\pi\) | |||||||
\(728\) | −3.22660 | − | 2.34426i | −0.119586 | − | 0.0868842i | ||||
\(729\) | −17.5136 | + | 20.5493i | −0.648651 | + | 0.761086i | ||||
\(730\) | −5.38279 | + | 0.852551i | −0.199226 | + | 0.0315543i | ||||
\(731\) | −13.3093 | + | 15.5832i | −0.492261 | + | 0.576364i | ||||
\(732\) | 15.7689 | + | 5.34975i | 0.582835 | + | 0.197732i | ||||
\(733\) | −0.932319 | + | 5.88643i | −0.0344360 | + | 0.217420i | −0.998906 | − | 0.0467739i | \(-0.985106\pi\) |
0.964470 | + | 0.264194i | \(0.0851060\pi\) | |||||||
\(734\) | 9.81387 | + | 13.5076i | 0.362236 | + | 0.498576i | ||||
\(735\) | −0.608073 | − | 4.18865i | −0.0224291 | − | 0.154501i | ||||
\(736\) | −9.83699 | + | 19.3062i | −0.362596 | + | 0.711635i | ||||
\(737\) | −19.8046 | −0.729512 | ||||||||
\(738\) | 4.17073 | − | 31.4931i | 0.153527 | − | 1.15928i | ||||
\(739\) | −2.02568 | −0.0745160 | −0.0372580 | − | 0.999306i | \(-0.511862\pi\) | ||||
−0.0372580 | + | 0.999306i | \(0.511862\pi\) | |||||||
\(740\) | −1.24805 | + | 2.44943i | −0.0458791 | + | 0.0900429i | ||||
\(741\) | 1.34959 | + | 9.29652i | 0.0495784 | + | 0.341516i | ||||
\(742\) | 4.95906 | + | 6.82556i | 0.182053 | + | 0.250574i | ||||
\(743\) | 1.82757 | − | 11.5389i | 0.0670472 | − | 0.423319i | −0.931219 | − | 0.364460i | \(-0.881254\pi\) |
0.998266 | − | 0.0588595i | \(-0.0187464\pi\) | |||||||
\(744\) | 21.4387 | + | 7.27329i | 0.785981 | + | 0.266652i | ||||
\(745\) | −4.44875 | + | 5.20882i | −0.162990 | + | 0.190836i | ||||
\(746\) | −52.4053 | + | 8.30019i | −1.91869 | + | 0.303891i | ||||
\(747\) | 5.41464 | + | 18.2561i | 0.198111 | + | 0.667956i | ||||
\(748\) | −2.34638 | − | 1.70474i | −0.0857920 | − | 0.0623316i | ||||
\(749\) | −12.5816 | − | 20.5314i | −0.459723 | − | 0.750200i | ||||
\(750\) | −12.9467 | + | 12.6165i | −0.472747 | + | 0.460691i | ||||
\(751\) | 1.26945 | − | 16.1299i | 0.0463230 | − | 0.588590i | −0.929327 | − | 0.369258i | \(-0.879612\pi\) |
0.975650 | − | 0.219333i | \(-0.0703880\pi\) | |||||||
\(752\) | 14.4343 | + | 34.8475i | 0.526365 | + | 1.27076i | ||||
\(753\) | 28.7757 | + | 0.371668i | 1.04864 | + | 0.0135443i | ||||
\(754\) | −0.441372 | + | 1.35840i | −0.0160738 | + | 0.0494702i | ||||
\(755\) | −1.87593 | + | 7.81382i | −0.0682722 | + | 0.284374i | ||||
\(756\) | 2.40340 | + | 6.50420i | 0.0874107 | + | 0.236555i | ||||
\(757\) | −2.88042 | − | 36.5992i | −0.104691 | − | 1.33022i | −0.794958 | − | 0.606665i | \(-0.792507\pi\) |
0.690267 | − | 0.723555i | \(-0.257493\pi\) | |||||||
\(758\) | 1.66685 | − | 0.849302i | 0.0605427 | − | 0.0308480i | ||||
\(759\) | −13.6230 | − | 8.59212i | −0.494482 | − | 0.311874i | ||||
\(760\) | 7.10830 | − | 0.559436i | 0.257845 | − | 0.0202929i | ||||
\(761\) | 5.66661 | + | 17.4400i | 0.205415 | + | 0.632201i | 0.999696 | + | 0.0246511i | \(0.00784747\pi\) |
−0.794282 | + | 0.607550i | \(0.792153\pi\) | |||||||
\(762\) | −4.54665 | − | 14.6336i | −0.164708 | − | 0.530118i | ||||
\(763\) | −12.4008 | − | 4.02927i | −0.448939 | − | 0.145869i | ||||
\(764\) | 4.74827 | + | 2.90975i | 0.171787 | + | 0.105271i | ||||
\(765\) | 4.56130 | + | 0.477802i | 0.164914 | + | 0.0172750i | ||||
\(766\) | 40.5777 | + | 3.19353i | 1.46613 | + | 0.115387i | ||||
\(767\) | −3.10338 | − | 12.9265i | −0.112057 | − | 0.466750i | ||||
\(768\) | −12.5358 | + | 23.8367i | −0.452345 | + | 0.860131i | ||||
\(769\) | −24.7408 | + | 34.0528i | −0.892175 | + | 1.22797i | 0.0807223 | + | 0.996737i | \(0.474277\pi\) |
−0.972897 | + | 0.231237i | \(0.925723\pi\) | |||||||
\(770\) | 2.38604 | + | 2.38604i | 0.0859869 | + | 0.0859869i | ||||
\(771\) | −40.9933 | + | 34.1059i | −1.47634 | + | 1.22829i | ||||
\(772\) | 1.17892 | + | 1.00690i | 0.0424304 | + | 0.0362390i | ||||
\(773\) | 5.98817 | + | 7.01125i | 0.215380 | + | 0.252177i | 0.857569 | − | 0.514369i | \(-0.171974\pi\) |
−0.642189 | + | 0.766546i | \(0.721974\pi\) | |||||||
\(774\) | 26.7025 | − | 34.8245i | 0.959801 | − | 1.25174i | ||||
\(775\) | −23.0719 | + | 16.7627i | −0.828767 | + | 0.602135i | ||||
\(776\) | 18.7549 | + | 7.76852i | 0.673260 | + | 0.278874i | ||||
\(777\) | 17.7880 | − | 1.16901i | 0.638142 | − | 0.0419379i | ||||
\(778\) | 5.67274i | 0.203378i | ||||||||
\(779\) | −4.28047 | − | 32.7964i | −0.153364 | − | 1.17505i | ||||
\(780\) | −0.757896 | + | 0.451080i | −0.0271370 | + | 0.0161513i | ||||
\(781\) | 14.4819 | + | 7.37891i | 0.518204 | + | 0.264038i | ||||
\(782\) | −8.00568 | + | 19.3274i | −0.286283 | + | 0.691147i | ||||
\(783\) | −3.35511 | + | 2.64780i | −0.119902 | + | 0.0946248i | ||||
\(784\) | 18.0326 | + | 2.85608i | 0.644020 | + | 0.102003i | ||||
\(785\) | −2.01561 | + | 1.72149i | −0.0719403 | + | 0.0614428i | ||||
\(786\) | 6.56600 | + | 1.12707i | 0.234202 | + | 0.0402011i | ||||
\(787\) | 2.55480 | + | 16.1303i | 0.0910686 | + | 0.574985i | 0.990456 | + | 0.137832i | \(0.0440133\pi\) |
−0.899387 | + | 0.437153i | \(0.855987\pi\) | |||||||
\(788\) | −4.82081 | + | 4.82081i | −0.171734 | + | 0.171734i | ||||
\(789\) | 8.70190 | + | 0.798059i | 0.309796 | + | 0.0284117i | ||||
\(790\) | −6.28934 | + | 3.85411i | −0.223765 | + | 0.137123i | ||||
\(791\) | −10.9982 | + | 2.64042i | −0.391050 | + | 0.0938827i | ||||
\(792\) | −8.96688 | − | 5.81871i | −0.318624 | − | 0.206759i | ||||
\(793\) | 12.6888 | − | 5.25589i | 0.450594 | − | 0.186642i | ||||
\(794\) | −0.517270 | + | 0.844107i | −0.0183572 | + | 0.0299562i | ||||
\(795\) | −3.13190 | + | 0.709252i | −0.111077 | + | 0.0251546i | ||||
\(796\) | −3.53681 | − | 0.849114i | −0.125359 | − | 0.0300960i | ||||
\(797\) | −10.8858 | + | 3.53702i | −0.385596 | + | 0.125288i | −0.495399 | − | 0.868666i | \(-0.664978\pi\) |
0.109803 | + | 0.993953i | \(0.464978\pi\) | |||||||
\(798\) | 15.5081 | + | 21.9354i | 0.548982 | + | 0.776503i | ||||
\(799\) | 8.04790 | + | 15.7949i | 0.284714 | + | 0.558783i | ||||
\(800\) | −8.22417 | − | 16.1408i | −0.290768 | − | 0.570665i | ||||
\(801\) | 28.0430 | + | 12.4738i | 0.990850 | + | 0.440740i | ||||
\(802\) | −33.6224 | + | 10.9246i | −1.18725 | + | 0.385761i | ||||
\(803\) | 8.27118 | + | 1.98573i | 0.291884 | + | 0.0700750i | ||||
\(804\) | −3.26949 | − | 14.4373i | −0.115306 | − | 0.509166i | ||||
\(805\) | 3.41758 | − | 5.57699i | 0.120454 | − | 0.196563i | ||||
\(806\) | −10.0231 | + | 4.15168i | −0.353047 | + | 0.146237i | ||||
\(807\) | −4.95478 | + | 2.44450i | −0.174417 | + | 0.0860506i | ||||
\(808\) | 7.48555 | − | 1.79712i | 0.263341 | − | 0.0632225i | ||||
\(809\) | −36.3027 | + | 22.2463i | −1.27633 | + | 0.782139i | −0.984678 | − | 0.174384i | \(-0.944206\pi\) |
−0.291657 | + | 0.956523i | \(0.594206\pi\) | |||||||
\(810\) | −9.80780 | − | 0.507136i | −0.344611 | − | 0.0178189i | ||||
\(811\) | 1.26234 | − | 1.26234i | 0.0443266 | − | 0.0443266i | −0.684596 | − | 0.728923i | \(-0.740021\pi\) |
0.728923 | + | 0.684596i | \(0.240021\pi\) | |||||||
\(812\) | 0.171710 | + | 1.08413i | 0.00602584 | + | 0.0380457i | ||||
\(813\) | 7.13040 | − | 41.5399i | 0.250074 | − | 1.45687i | ||||
\(814\) | 12.1410 | − | 10.3694i | 0.425543 | − | 0.363448i | ||||
\(815\) | −14.9991 | − | 2.37563i | −0.525396 | − | 0.0832146i | ||||
\(816\) | −7.80606 | + | 18.1778i | −0.273267 | + | 0.636352i | ||||
\(817\) | 17.4842 | − | 42.2105i | 0.611694 | − | 1.47676i | ||||
\(818\) | 18.5824 | + | 9.46820i | 0.649718 | + | 0.331048i | ||||
\(819\) | 5.02708 | + | 2.72721i | 0.175660 | + | 0.0952964i | ||||
\(820\) | 2.69098 | − | 1.54964i | 0.0939732 | − | 0.0541156i | ||||
\(821\) | 49.5248i | 1.72843i | 0.503125 | + | 0.864214i | \(0.332184\pi\) | ||||
−0.503125 | + | 0.864214i | \(0.667816\pi\) | |||||||
\(822\) | −2.92963 | − | 44.5783i | −0.102183 | − | 1.55485i | ||||
\(823\) | 28.6299 | + | 11.8589i | 0.997977 | + | 0.413375i | 0.821055 | − | 0.570849i | \(-0.193386\pi\) |
0.176922 | + | 0.984225i | \(0.443386\pi\) | |||||||
\(824\) | 28.7723 | − | 20.9043i | 1.00233 | − | 0.728237i | ||||
\(825\) | 12.5060 | − | 4.99193i | 0.435404 | − | 0.173797i | ||||
\(826\) | −24.6895 | − | 28.9077i | −0.859057 | − | 1.00583i | ||||
\(827\) | −30.5260 | − | 26.0717i | −1.06149 | − | 0.906601i | −0.0656648 | − | 0.997842i | \(-0.520917\pi\) |
−0.995829 | + | 0.0912405i | \(0.970917\pi\) | |||||||
\(828\) | 4.01458 | − | 11.3494i | 0.139516 | − | 0.394420i | ||||
\(829\) | 15.1980 | + | 15.1980i | 0.527848 | + | 0.527848i | 0.919930 | − | 0.392082i | \(-0.128245\pi\) |
−0.392082 | + | 0.919930i | \(0.628245\pi\) | |||||||
\(830\) | −4.07120 | + | 5.60352i | −0.141313 | + | 0.194501i | ||||
\(831\) | 12.5844 | + | 6.61818i | 0.436549 | + | 0.229582i | ||||
\(832\) | 0.807978 | + | 3.36547i | 0.0280116 | + | 0.116677i | ||||
\(833\) | 8.55414 | + | 0.673226i | 0.296383 | + | 0.0233259i | ||||
\(834\) | 9.83213 | − | 13.1716i | 0.340459 | − | 0.456096i | ||||
\(835\) | −13.6806 | − | 8.38347i | −0.473436 | − | 0.290122i | ||||
\(836\) | 6.14953 | + | 1.99810i | 0.212686 | + | 0.0691059i | ||||
\(837\) | −31.8436 | − | 6.31674i | −1.10067 | − | 0.218338i | ||||
\(838\) | 9.25483 | + | 28.4834i | 0.319703 | + | 0.983944i | ||||
\(839\) | −12.0129 | + | 0.945437i | −0.414732 | + | 0.0326401i | −0.284109 | − | 0.958792i | \(-0.591698\pi\) |
−0.130623 | + | 0.991432i | \(0.541698\pi\) | |||||||
\(840\) | 2.31580 | − | 3.67174i | 0.0799026 | − | 0.126687i | ||||
\(841\) | 25.2364 | − | 12.8586i | 0.870219 | − | 0.443399i | ||||
\(842\) | 2.42994 | + | 30.8753i | 0.0837412 | + | 1.06403i | ||||
\(843\) | −8.97033 | + | 10.2323i | −0.308955 | + | 0.352419i | ||||
\(844\) | −0.800207 | + | 3.33310i | −0.0275443 | + | 0.114730i | ||||
\(845\) | 2.42588 | − | 7.46610i | 0.0834529 | − | 0.256842i | ||||
\(846\) | −18.9916 | − | 32.8679i | −0.652944 | − | 1.13002i | ||||
\(847\) | 5.62743 | + | 13.5858i | 0.193361 | + | 0.466815i | ||||
\(848\) | 1.08679 | − | 13.8090i | 0.0373205 | − | 0.474202i | ||||
\(849\) | −0.441205 | − | 0.452751i | −0.0151421 | − | 0.0155384i | ||||
\(850\) | −9.13847 | − | 14.9126i | −0.313447 | − | 0.511499i | ||||
\(851\) | −25.0385 | − | 18.1915i | −0.858309 | − | 0.623598i | ||||
\(852\) | −2.98836 | + | 11.7753i | −0.102380 | + | 0.403416i | ||||
\(853\) | 25.3433 | − | 4.01398i | 0.867737 | − | 0.137436i | 0.293335 | − | 0.956010i | \(-0.405235\pi\) |
0.574402 | + | 0.818573i | \(0.305235\pi\) | |||||||
\(854\) | 25.5075 | − | 29.8655i | 0.872850 | − | 1.02198i | ||||
\(855\) | −10.0006 | + | 2.12935i | −0.342014 | + | 0.0728221i | ||||
\(856\) | −4.34042 | + | 27.4043i | −0.148352 | + | 0.936660i | ||||
\(857\) | 5.26524 | + | 7.24698i | 0.179857 | + | 0.247552i | 0.889421 | − | 0.457089i | \(-0.151108\pi\) |
−0.709564 | + | 0.704641i | \(0.751108\pi\) | |||||||
\(858\) | 5.06936 | − | 0.735925i | 0.173065 | − | 0.0251241i | ||||
\(859\) | −6.87848 | + | 13.4998i | −0.234691 | + | 0.460607i | −0.978074 | − | 0.208260i | \(-0.933220\pi\) |
0.743383 | + | 0.668866i | \(0.233220\pi\) | |||||||
\(860\) | 4.28956 | 0.146273 | ||||||||
\(861\) | −17.5596 | − | 9.85557i | −0.598428 | − | 0.335877i | ||||
\(862\) | −57.2312 | −1.94930 | ||||||||
\(863\) | 15.9368 | − | 31.2778i | 0.542496 | − | 1.06471i | −0.443239 | − | 0.896404i | \(-0.646171\pi\) |
0.985735 | − | 0.168305i | \(-0.0538294\pi\) | |||||||
\(864\) | 7.12734 | − | 19.3507i | 0.242477 | − | 0.658325i | ||||
\(865\) | −6.86833 | − | 9.45344i | −0.233530 | − | 0.321427i | ||||
\(866\) | 9.28200 | − | 58.6043i | 0.315415 | − | 1.99145i | ||||
\(867\) | 6.47278 | − | 19.0791i | 0.219827 | − | 0.647962i | ||||
\(868\) | −5.41464 | + | 6.33973i | −0.183785 | + | 0.215184i | ||||
\(869\) | 11.3712 | − | 1.80102i | 0.385742 | − | 0.0610956i | ||||
\(870\) | −1.50687 | − | 0.382415i | −0.0510875 | − | 0.0129651i | ||||
\(871\) | −9.87765 | − | 7.17653i | −0.334691 | − | 0.243168i | ||||
\(872\) | 7.85010 | + | 12.8102i | 0.265838 | + | 0.433808i | ||||
\(873\) | −28.1210 | − | 7.52447i | −0.951751 | − | 0.254665i | ||||
\(874\) | 3.65930 | − | 46.4958i | 0.123778 | − | 1.57274i | ||||
\(875\) | 4.38497 | + | 10.5862i | 0.148239 | + | 0.357880i | ||||
\(876\) | −0.0821128 | + | 6.35742i | −0.00277434 | + | 0.214797i | ||||
\(877\) | −3.10789 | + | 9.56510i | −0.104946 | + | 0.322990i | −0.989718 | − | 0.143034i | \(-0.954314\pi\) |
0.884772 | + | 0.466025i | \(0.154314\pi\) | |||||||
\(878\) | 5.84281 | − | 24.3371i | 0.197185 | − | 0.821336i | ||||
\(879\) | 19.5132 | + | 17.1066i | 0.658164 | + | 0.576991i | ||||
\(880\) | −0.434668 | − | 5.52298i | −0.0146527 | − | 0.186180i | ||||
\(881\) | 22.4315 | − | 11.4294i | 0.755736 | − | 0.385067i | −0.0332744 | − | 0.999446i | \(-0.510594\pi\) |
0.789011 | + | 0.614379i | \(0.210594\pi\) | |||||||
\(882\) | −18.3681 | − | 0.474567i | −0.618487 | − | 0.0159795i | ||||
\(883\) | −4.01164 | + | 0.315723i | −0.135002 | + | 0.0106249i | −0.145780 | − | 0.989317i | \(-0.546569\pi\) |
0.0107779 | + | 0.999942i | \(0.496569\pi\) | |||||||
\(884\) | −0.552526 | − | 1.70050i | −0.0185835 | − | 0.0571940i | ||||
\(885\) | 13.8180 | − | 4.29324i | 0.464486 | − | 0.144316i | ||||
\(886\) | 54.8387 | + | 17.8182i | 1.84234 | + | 0.598613i | ||||
\(887\) | −3.20287 | − | 1.96272i | −0.107542 | − | 0.0659017i | 0.467688 | − | 0.883894i | \(-0.345087\pi\) |
−0.575229 | + | 0.817992i | \(0.695087\pi\) | |||||||
\(888\) | −16.4603 | − | 12.2870i | −0.552370 | − | 0.412324i | ||||
\(889\) | −9.68300 | − | 0.762069i | −0.324757 | − | 0.0255590i | ||||
\(890\) | 2.60615 | + | 10.8554i | 0.0873583 | + | 0.363874i | ||||
\(891\) | 13.8399 | + | 6.58942i | 0.463653 | + | 0.220754i | ||||
\(892\) | 0.841614 | − | 1.15838i | 0.0281793 | − | 0.0387855i | ||||
\(893\) | −27.9458 | − | 27.9458i | −0.935171 | − | 0.935171i | ||||
\(894\) | 19.0191 | + | 22.8599i | 0.636095 | + | 0.764549i | ||||
\(895\) | −7.19421 | − | 6.14444i | −0.240476 | − | 0.205386i | ||||
\(896\) | 15.7873 | + | 18.4845i | 0.527416 | + | 0.617524i | ||||
\(897\) | −3.68102 | − | 9.22187i | −0.122906 | − | 0.307909i | ||||
\(898\) | 23.6396 | − | 17.1752i | 0.788865 | − | 0.573144i | ||||
\(899\) | −4.74782 | − | 1.96661i | −0.158349 | − | 0.0655902i | ||||
\(900\) | 5.70364 | + | 8.29265i | 0.190121 | + | 0.276422i | ||||
\(901\) | − | 6.51002i | − | 0.216880i | ||||||
\(902\) | −17.8837 | + | 2.33412i | −0.595463 | + | 0.0777178i | ||||
\(903\) | −14.2262 | − | 23.9026i | −0.473418 | − | 0.795429i | ||||
\(904\) | 11.6122 | + | 5.91673i | 0.386217 | + | 0.196788i | ||||
\(905\) | −3.54549 | + | 8.55956i | −0.117856 | + | 0.284529i | ||||
\(906\) | 32.0544 | + | 13.7650i | 1.06494 | + | 0.457313i | ||||
\(907\) | −28.5161 | − | 4.51651i | −0.946863 | − | 0.149968i | −0.336139 | − | 0.941812i | \(-0.609121\pi\) |
−0.610723 | + | 0.791844i | \(0.709121\pi\) | |||||||
\(908\) | 11.0292 | − | 9.41982i | 0.366017 | − | 0.312608i | ||||
\(909\) | −10.3046 | + | 3.95971i | −0.341783 | + | 0.131335i | ||||
\(910\) | 0.325428 | + | 2.05467i | 0.0107878 | + | 0.0681117i | ||||
\(911\) | −28.4943 | + | 28.4943i | −0.944059 | + | 0.944059i | −0.998516 | − | 0.0544570i | \(-0.982657\pi\) |
0.0544570 | + | 0.998516i | \(0.482657\pi\) | |||||||
\(912\) | 4.02802 | − | 43.9208i | 0.133381 | − | 1.45436i | ||||
\(913\) | 9.21759 | − | 5.64855i | 0.305058 | − | 0.186940i | ||||
\(914\) | −2.60595 | + | 0.625634i | −0.0861973 | + | 0.0206941i | ||||
\(915\) | 6.61411 | + | 13.4062i | 0.218656 | + | 0.443195i | ||||
\(916\) | 8.03023 | − | 3.32623i | 0.265326 | − | 0.109902i | ||||
\(917\) | 2.20638 | − | 3.60049i | 0.0728612 | − | 0.118899i | ||||
\(918\) | 5.39427 | − | 19.1650i | 0.178037 | − | 0.632541i | ||||
\(919\) | −22.7241 | − | 5.45556i | −0.749598 | − | 0.179962i | −0.159392 | − | 0.987215i | \(-0.550953\pi\) |
−0.590206 | + | 0.807253i | \(0.700953\pi\) | |||||||
\(920\) | −7.16782 | + | 2.32896i | −0.236316 | + | 0.0767837i | ||||
\(921\) | −5.65628 | + | 3.99895i | −0.186381 | + | 0.131770i | ||||
\(922\) | 7.20633 | + | 14.1432i | 0.237328 | + | 0.465782i | ||||
\(923\) | 4.54907 | + | 8.92804i | 0.149734 | + | 0.293870i | ||||
\(924\) | 3.21440 | − | 2.27255i | 0.105746 | − | 0.0747615i | ||||
\(925\) | 24.6086 | − | 7.99582i | 0.809126 | − | 0.262901i | ||||
\(926\) | −42.9867 | − | 10.3202i | −1.41263 | − | 0.339143i | ||||
\(927\) | −36.9814 | + | 35.1186i | −1.21463 | + | 1.15345i | ||||
\(928\) | 1.70563 | − | 2.78333i | 0.0559899 | − | 0.0913673i | ||||
\(929\) | 38.1098 | − | 15.7856i | 1.25034 | − | 0.517908i | 0.343410 | − | 0.939186i | \(-0.388418\pi\) |
0.906932 | + | 0.421277i | \(0.138418\pi\) | |||||||
\(930\) | −5.22456 | − | 10.5897i | −0.171320 | − | 0.347250i | ||||
\(931\) | −18.6013 | + | 4.46579i | −0.609635 | + | 0.146360i | ||||
\(932\) | 11.7815 | − | 7.21972i | 0.385916 | − | 0.236490i | ||||
\(933\) | 2.08847 | − | 22.7723i | 0.0683736 | − | 0.745533i | ||||
\(934\) | −34.3075 | + | 34.3075i | −1.12257 | + | 1.12257i | ||||
\(935\) | −0.407312 | − | 2.57166i | −0.0133205 | − | 0.0841024i | ||||
\(936\) | −2.36377 | − | 6.15142i | −0.0772623 | − | 0.201065i | ||||
\(937\) | 14.2763 | − | 12.1931i | 0.466387 | − | 0.398332i | −0.384962 | − | 0.922933i | \(-0.625785\pi\) |
0.851348 | + | 0.524601i | \(0.175785\pi\) | |||||||
\(938\) | −34.4853 | − | 5.46193i | −1.12598 | − | 0.178338i | ||||
\(939\) | 20.6333 | + | 8.86050i | 0.673342 | + | 0.289151i | ||||
\(940\) | 1.41997 | − | 3.42811i | 0.0463142 | − | 0.111812i | ||||
\(941\) | 39.9571 | + | 20.3591i | 1.30256 | + | 0.663689i | 0.961099 | − | 0.276206i | \(-0.0890771\pi\) |
0.341465 | + | 0.939895i | \(0.389077\pi\) | |||||||
\(942\) | 5.88525 | + | 9.88829i | 0.191752 | + | 0.322178i | ||||
\(943\) | 12.4920 | + | 32.6516i | 0.406794 | + | 1.06328i | ||||
\(944\) | 62.4151i | 2.03144i | ||||||||
\(945\) | −2.60320 | + | 5.65457i | −0.0846822 | + | 0.183943i | ||||
\(946\) | −23.0172 | − | 9.53405i | −0.748355 | − | 0.309979i | ||||
\(947\) | −0.115729 | + | 0.0840818i | −0.00376068 | + | 0.00273229i | −0.589664 | − | 0.807649i | \(-0.700740\pi\) |
0.585903 | + | 0.810381i | \(0.300740\pi\) | |||||||
\(948\) | 3.19017 | + | 7.99217i | 0.103612 | + | 0.259574i | ||||
\(949\) | 3.40573 | + | 3.98760i | 0.110555 | + | 0.129443i | ||||
\(950\) | 29.6503 | + | 25.3238i | 0.961984 | + | 0.821612i | ||||
\(951\) | −30.9054 | − | 37.1465i | −1.00218 | − | 1.20456i | ||||
\(952\) | 6.22289 | + | 6.22289i | 0.201685 | + | 0.201685i | ||||
\(953\) | −1.10222 | + | 1.51708i | −0.0357044 | + | 0.0491429i | −0.826496 | − | 0.562943i | \(-0.809669\pi\) |
0.790792 | + | 0.612086i | \(0.209669\pi\) | |||||||
\(954\) | 0.734445 | + | 13.9210i | 0.0237785 | + | 0.450710i | ||||
\(955\) | 1.16710 | + | 4.86134i | 0.0377666 | + | 0.157309i | ||||
\(956\) | 11.8166 | + | 0.929985i | 0.382175 | + | 0.0300779i | ||||
\(957\) | 1.94448 | + | 1.45148i | 0.0628560 | + | 0.0469197i | ||||
\(958\) | 13.9511 | + | 8.54926i | 0.450740 | + | 0.276214i | ||||
\(959\) | −26.9311 | − | 8.75046i | −0.869652 | − | 0.282567i | ||||
\(960\) | −3.59756 | + | 1.11776i | −0.116111 | + | 0.0360756i | ||||
\(961\) | −2.48259 | − | 7.64063i | −0.0800836 | − | 0.246472i | ||||
\(962\) | 9.81293 | − | 0.772294i | 0.316382 | − | 0.0248998i | ||||
\(963\) | 1.02762 | − | 39.7742i | 0.0331147 | − | 1.28171i | ||||
\(964\) | 10.0374 | − | 5.11430i | 0.323282 | − | 0.164720i | ||||
\(965\) | 0.109204 | + | 1.38757i | 0.00351540 | + | 0.0446674i | ||||
\(966\) | −21.3517 | − | 18.7183i | −0.686979 | − | 0.602253i | ||||
\(967\) | 2.69508 | − | 11.2258i | 0.0866679 | − | 0.360998i | −0.912136 | − | 0.409887i | \(-0.865568\pi\) |
0.998804 | + | 0.0488893i | \(0.0155681\pi\) | |||||||
\(968\) | 5.23600 | − | 16.1148i | 0.168291 | − | 0.517948i | ||||
\(969\) | 0.267709 | − | 20.7268i | 0.00860004 | − | 0.665841i | ||||
\(970\) | −4.05204 | − | 9.78248i | −0.130103 | − | 0.314097i | ||||
\(971\) | 2.34280 | − | 29.7681i | 0.0751839 | − | 0.955303i | −0.837447 | − | 0.546518i | \(-0.815953\pi\) |
0.912631 | − | 0.408784i | \(-0.134047\pi\) | |||||||
\(972\) | −2.51883 | + | 11.1769i | −0.0807914 | + | 0.358501i | ||||
\(973\) | −5.44360 | − | 8.88316i | −0.174514 | − | 0.284781i | ||||
\(974\) | −43.4542 | − | 31.5713i | −1.39236 | − | 1.01161i | ||||
\(975\) | 8.04635 | + | 2.04202i | 0.257690 | + | 0.0653969i | ||||
\(976\) | −63.6892 | + | 10.0874i | −2.03864 | + | 0.322889i | ||||
\(977\) | −16.0754 | + | 18.8219i | −0.514298 | + | 0.602165i | −0.955409 | − | 0.295287i | \(-0.904585\pi\) |
0.441111 | + | 0.897453i | \(0.354585\pi\) | |||||||
\(978\) | −21.1801 | + | 62.4304i | −0.677265 | + | 1.99630i | ||||
\(979\) | 2.72580 | − | 17.2100i | 0.0871171 | − | 0.550035i | ||||
\(980\) | −1.05570 | − | 1.45304i | −0.0337230 | − | 0.0464157i | ||||
\(981\) | −13.5643 | − | 16.7385i | −0.433074 | − | 0.534420i | ||||
\(982\) | 8.21694 | − | 16.1267i | 0.262213 | − | 0.514622i | ||||
\(983\) | 56.6047 | 1.80541 | 0.902705 | − | 0.430261i | \(-0.141578\pi\) | ||||
0.902705 | + | 0.430261i | \(0.141578\pi\) | |||||||
\(984\) | 8.01011 | + | 21.7755i | 0.255353 | + | 0.694178i | ||||
\(985\) | −6.12053 | −0.195016 | ||||||||
\(986\) | 1.43083 | − | 2.80817i | 0.0455670 | − | 0.0894303i | ||||
\(987\) | −23.8116 | + | 3.45677i | −0.757932 | + | 0.110030i | ||||
\(988\) | 2.34307 | + | 3.22495i | 0.0745429 | + | 0.102599i | ||||
\(989\) | −7.55460 | + | 47.6979i | −0.240222 | + | 1.51670i | ||||
\(990\) | 1.16112 | + | 5.45329i | 0.0369030 | + | 0.173317i | ||||
\(991\) | −31.2475 | + | 36.5861i | −0.992610 | + | 1.16220i | −0.00585430 | + | 0.999983i | \(0.501863\pi\) |
−0.986756 | + | 0.162214i | \(0.948137\pi\) | |||||||
\(992\) | 24.4895 | − | 3.87876i | 0.777544 | − | 0.123151i | ||||
\(993\) | 14.3887 | − | 56.6973i | 0.456613 | − | 1.79923i | ||||
\(994\) | 23.1820 | + | 16.8427i | 0.735288 | + | 0.534218i | ||||
\(995\) | −1.70616 | − | 2.78420i | −0.0540889 | − | 0.0882651i | ||||
\(996\) | 5.63944 | + | 5.78702i | 0.178692 | + | 0.183369i | ||||
\(997\) | 1.64539 | − | 20.9066i | 0.0521099 | − | 0.662119i | −0.914287 | − | 0.405066i | \(-0.867248\pi\) |
0.966397 | − | 0.257053i | \(-0.0827515\pi\) | |||||||
\(998\) | −12.6805 | − | 30.6135i | −0.401395 | − | 0.969052i | ||||
\(999\) | 25.7068 | + | 14.3788i | 0.813328 | + | 0.454926i |
(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 | 123.2.o.a.110.10 | yes | 192 | |
3.2 | odd | 2 | inner | 123.2.o.a.110.3 | yes | 192 | |
41.22 | odd | 40 | inner | 123.2.o.a.104.3 | ✓ | 192 | |
123.104 | even | 40 | inner | 123.2.o.a.104.10 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
123.2.o.a.104.3 | ✓ | 192 | 41.22 | odd | 40 | inner | |
123.2.o.a.104.10 | yes | 192 | 123.104 | even | 40 | inner | |
123.2.o.a.110.3 | yes | 192 | 3.2 | odd | 2 | inner | |
123.2.o.a.110.10 | yes | 192 | 1.1 | even | 1 | trivial |