Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,2,Mod(5,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.j (of order \(22\), degree \(10\), 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: | \(1.60499308063\) |
Analytic rank: | \(0\) |
Dimension: | \(200\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.4 | ||
Character | \(\chi\) | \(=\) | 201.5 |
Dual form | 201.2.j.a.161.4 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.36124 | + | 1.57095i | −0.962542 | + | 1.11083i | 0.0312430 | + | 0.999512i | \(0.490053\pi\) |
−0.993785 | + | 0.111320i | \(0.964492\pi\) | |||||||
\(3\) | 0.885763 | − | 1.48843i | 0.511396 | − | 0.859345i | ||||
\(4\) | −0.330294 | − | 2.29725i | −0.165147 | − | 1.14862i | ||||
\(5\) | 1.00399 | − | 0.294799i | 0.449000 | − | 0.131838i | −0.0494124 | − | 0.998778i | \(-0.515735\pi\) |
0.498412 | + | 0.866940i | \(0.333917\pi\) | |||||||
\(6\) | 1.13252 | + | 3.41760i | 0.462349 | + | 1.39523i | ||||
\(7\) | −0.415510 | − | 0.360042i | −0.157048 | − | 0.136083i | 0.572792 | − | 0.819701i | \(-0.305860\pi\) |
−0.729840 | + | 0.683618i | \(0.760406\pi\) | |||||||
\(8\) | 0.561099 | + | 0.360596i | 0.198378 | + | 0.127490i | ||||
\(9\) | −1.43085 | − | 2.63679i | −0.476949 | − | 0.878931i | ||||
\(10\) | −0.903560 | + | 1.97852i | −0.285731 | + | 0.625663i | ||||
\(11\) | 5.65989 | − | 1.66189i | 1.70652 | − | 0.501079i | 0.724407 | − | 0.689372i | \(-0.242114\pi\) |
0.982113 | + | 0.188293i | \(0.0602955\pi\) | |||||||
\(12\) | −3.71185 | − | 1.54320i | −1.07152 | − | 0.445482i | ||||
\(13\) | −1.39081 | − | 2.16414i | −0.385742 | − | 0.600226i | 0.593030 | − | 0.805180i | \(-0.297932\pi\) |
−0.978771 | + | 0.204955i | \(0.934295\pi\) | |||||||
\(14\) | 1.13122 | − | 0.162645i | 0.302331 | − | 0.0434686i | ||||
\(15\) | 0.450513 | − | 1.75550i | 0.116322 | − | 0.453267i | ||||
\(16\) | 3.12344 | − | 0.917126i | 0.780861 | − | 0.229281i | ||||
\(17\) | 1.29279 | + | 0.185875i | 0.313548 | + | 0.0450814i | 0.297292 | − | 0.954786i | \(-0.403916\pi\) |
0.0162556 | + | 0.999868i | \(0.494825\pi\) | |||||||
\(18\) | 6.09001 | + | 1.34151i | 1.43543 | + | 0.316197i | ||||
\(19\) | 2.01688 | + | 2.32761i | 0.462704 | + | 0.533989i | 0.938368 | − | 0.345638i | \(-0.112337\pi\) |
−0.475663 | + | 0.879627i | \(0.657792\pi\) | |||||||
\(20\) | −1.00884 | − | 2.20905i | −0.225583 | − | 0.493959i | ||||
\(21\) | −0.903941 | + | 0.299546i | −0.197256 | + | 0.0653664i | ||||
\(22\) | −5.09370 | + | 11.1537i | −1.08598 | + | 2.37797i | ||||
\(23\) | 1.49687 | − | 0.683597i | 0.312119 | − | 0.142540i | −0.253196 | − | 0.967415i | \(-0.581482\pi\) |
0.565315 | + | 0.824875i | \(0.308755\pi\) | |||||||
\(24\) | 1.03372 | − | 0.515754i | 0.211008 | − | 0.105278i | ||||
\(25\) | −3.28517 | + | 2.11125i | −0.657034 | + | 0.422250i | ||||
\(26\) | 5.29300 | + | 0.761018i | 1.03804 | + | 0.149248i | ||||
\(27\) | −5.19207 | − | 0.205858i | −0.999215 | − | 0.0396174i | ||||
\(28\) | −0.689864 | + | 1.07345i | −0.130372 | + | 0.202863i | ||||
\(29\) | 3.56852i | 0.662657i | 0.943516 | + | 0.331328i | \(0.107497\pi\) | ||||
−0.943516 | + | 0.331328i | \(0.892503\pi\) | |||||||
\(30\) | 2.14455 | + | 3.09739i | 0.391539 | + | 0.565503i | ||||
\(31\) | −0.352089 | + | 0.547862i | −0.0632371 | + | 0.0983989i | −0.871432 | − | 0.490516i | \(-0.836808\pi\) |
0.808195 | + | 0.588915i | \(0.200445\pi\) | |||||||
\(32\) | −3.36514 | + | 7.36863i | −0.594878 | + | 1.30260i | ||||
\(33\) | 2.53971 | − | 9.89639i | 0.442106 | − | 1.72274i | ||||
\(34\) | −2.05180 | + | 1.77790i | −0.351881 | + | 0.304907i | ||||
\(35\) | −0.523310 | − | 0.238988i | −0.0884555 | − | 0.0403963i | ||||
\(36\) | −5.58476 | + | 4.15792i | −0.930793 | + | 0.692987i | ||||
\(37\) | 10.2010 | 1.67704 | 0.838520 | − | 0.544871i | \(-0.183421\pi\) | ||||
0.838520 | + | 0.544871i | \(0.183421\pi\) | |||||||
\(38\) | −6.40202 | −1.03854 | ||||||||
\(39\) | −4.45311 | + | 0.153205i | −0.713068 | + | 0.0245325i | ||||
\(40\) | 0.669644 | + | 0.196625i | 0.105880 | + | 0.0310892i | ||||
\(41\) | 0.510014 | − | 3.54722i | 0.0796507 | − | 0.553983i | −0.910449 | − | 0.413620i | \(-0.864264\pi\) |
0.990100 | − | 0.140363i | \(-0.0448268\pi\) | |||||||
\(42\) | 0.759906 | − | 1.82780i | 0.117256 | − | 0.282036i | ||||
\(43\) | −8.06417 | − | 1.15945i | −1.22978 | − | 0.176815i | −0.503363 | − | 0.864075i | \(-0.667904\pi\) |
−0.726412 | + | 0.687260i | \(0.758813\pi\) | |||||||
\(44\) | −5.68720 | − | 12.4532i | −0.857378 | − | 1.87740i | ||||
\(45\) | −2.21389 | − | 2.22551i | −0.330027 | − | 0.331760i | ||||
\(46\) | −0.963697 | + | 3.28205i | −0.142089 | + | 0.483912i | ||||
\(47\) | −8.00388 | + | 3.65525i | −1.16749 | + | 0.533173i | −0.902335 | − | 0.431035i | \(-0.858149\pi\) |
−0.265150 | + | 0.964207i | \(0.585421\pi\) | |||||||
\(48\) | 1.40155 | − | 5.46138i | 0.202297 | − | 0.788283i | ||||
\(49\) | −0.953185 | − | 6.62955i | −0.136169 | − | 0.947078i | ||||
\(50\) | 1.15523 | − | 8.03477i | 0.163374 | − | 1.13629i | ||||
\(51\) | 1.42177 | − | 1.75959i | 0.199088 | − | 0.246392i | ||||
\(52\) | −4.51219 | + | 3.90984i | −0.625729 | + | 0.542197i | ||||
\(53\) | 0.0637175 | + | 0.443165i | 0.00875227 | + | 0.0608733i | 0.993730 | − | 0.111811i | \(-0.0356651\pi\) |
−0.984977 | + | 0.172684i | \(0.944756\pi\) | |||||||
\(54\) | 7.39105 | − | 7.87629i | 1.00579 | − | 1.07183i | ||||
\(55\) | 5.19257 | − | 3.33706i | 0.700166 | − | 0.449969i | ||||
\(56\) | −0.103313 | − | 0.351851i | −0.0138057 | − | 0.0470180i | ||||
\(57\) | 5.25096 | − | 0.940280i | 0.695506 | − | 0.124543i | ||||
\(58\) | −5.60597 | − | 4.85760i | −0.736100 | − | 0.637835i | ||||
\(59\) | −1.20235 | + | 1.87089i | −0.156533 | + | 0.243570i | −0.910658 | − | 0.413161i | \(-0.864425\pi\) |
0.754125 | + | 0.656731i | \(0.228061\pi\) | |||||||
\(60\) | −4.18161 | − | 0.455108i | −0.539843 | − | 0.0587542i | ||||
\(61\) | −2.16231 | + | 7.36416i | −0.276856 | + | 0.942884i | 0.697257 | + | 0.716821i | \(0.254404\pi\) |
−0.974113 | + | 0.226063i | \(0.927415\pi\) | |||||||
\(62\) | −0.381388 | − | 1.29889i | −0.0484363 | − | 0.164959i | ||||
\(63\) | −0.354824 | + | 1.61078i | −0.0447036 | + | 0.202939i | ||||
\(64\) | −4.29041 | − | 9.39468i | −0.536301 | − | 1.17433i | ||||
\(65\) | −2.03435 | − | 1.76278i | −0.252330 | − | 0.218646i | ||||
\(66\) | 12.0896 | + | 17.4611i | 1.48813 | + | 2.14931i | ||||
\(67\) | −8.17936 | − | 0.313121i | −0.999268 | − | 0.0382538i | ||||
\(68\) | − | 3.03125i | − | 0.367593i | ||||||
\(69\) | 0.308385 | − | 2.83349i | 0.0371252 | − | 0.341112i | ||||
\(70\) | 1.08779 | − | 0.496776i | 0.130016 | − | 0.0593761i | ||||
\(71\) | −9.91667 | + | 1.42580i | −1.17689 | + | 0.169212i | −0.702881 | − | 0.711307i | \(-0.748103\pi\) |
−0.474011 | + | 0.880519i | \(0.657194\pi\) | |||||||
\(72\) | 0.147971 | − | 1.99546i | 0.0174386 | − | 0.235167i | ||||
\(73\) | 1.98133 | + | 0.581771i | 0.231897 | + | 0.0680912i | 0.395617 | − | 0.918416i | \(-0.370531\pi\) |
−0.163719 | + | 0.986507i | \(0.552349\pi\) | |||||||
\(74\) | −13.8860 | + | 16.0254i | −1.61422 | + | 1.86291i | ||||
\(75\) | 0.232566 | + | 6.75981i | 0.0268544 | + | 0.780556i | ||||
\(76\) | 4.68092 | − | 5.40207i | 0.536938 | − | 0.619660i | ||||
\(77\) | −2.95009 | − | 1.34726i | −0.336194 | − | 0.153535i | ||||
\(78\) | 5.82106 | − | 7.20417i | 0.659106 | − | 0.815712i | ||||
\(79\) | 7.84977 | + | 12.2145i | 0.883169 | + | 1.37424i | 0.926946 | + | 0.375196i | \(0.122425\pi\) |
−0.0437769 | + | 0.999041i | \(0.513939\pi\) | |||||||
\(80\) | 2.86555 | − | 1.84158i | 0.320378 | − | 0.205895i | ||||
\(81\) | −4.90535 | + | 7.54570i | −0.545039 | + | 0.838411i | ||||
\(82\) | 4.87827 | + | 5.62983i | 0.538715 | + | 0.621710i | ||||
\(83\) | 4.36439 | + | 14.8638i | 0.479054 | + | 1.63151i | 0.744672 | + | 0.667430i | \(0.232606\pi\) |
−0.265618 | + | 0.964078i | \(0.585576\pi\) | |||||||
\(84\) | 0.986698 | + | 1.97764i | 0.107658 | + | 0.215778i | ||||
\(85\) | 1.35275 | − | 0.194496i | 0.146726 | − | 0.0210961i | ||||
\(86\) | 12.7987 | − | 11.0902i | 1.38012 | − | 1.19588i | ||||
\(87\) | 5.31148 | + | 3.16086i | 0.569451 | + | 0.338880i | ||||
\(88\) | 3.77503 | + | 1.10845i | 0.402419 | + | 0.118161i | ||||
\(89\) | 1.07390 | + | 0.490435i | 0.113833 | + | 0.0519860i | 0.471518 | − | 0.881857i | \(-0.343706\pi\) |
−0.357684 | + | 0.933843i | \(0.616434\pi\) | |||||||
\(90\) | 6.50980 | − | 0.448460i | 0.686194 | − | 0.0472718i | ||||
\(91\) | −0.201286 | + | 1.39997i | −0.0211005 | + | 0.146757i | ||||
\(92\) | −2.06480 | − | 3.21289i | −0.215270 | − | 0.334966i | ||||
\(93\) | 0.503586 | + | 1.00934i | 0.0522195 | + | 0.104663i | ||||
\(94\) | 5.15297 | − | 17.5494i | 0.531488 | − | 1.81008i | ||||
\(95\) | 2.71111 | + | 1.74233i | 0.278154 | + | 0.178759i | ||||
\(96\) | 7.98697 | + | 11.5356i | 0.815166 | + | 1.17735i | ||||
\(97\) | − | 16.0174i | − | 1.62632i | −0.582041 | − | 0.813160i | \(-0.697746\pi\) | ||
0.582041 | − | 0.813160i | \(-0.302254\pi\) | |||||||
\(98\) | 11.7122 | + | 7.52699i | 1.18311 | + | 0.760341i | ||||
\(99\) | −12.4805 | − | 12.5460i | −1.25434 | − | 1.26092i | ||||
\(100\) | 5.93513 | + | 6.84951i | 0.593513 | + | 0.684951i | ||||
\(101\) | 8.82615 | + | 10.1859i | 0.878234 | + | 1.01354i | 0.999781 | + | 0.0209507i | \(0.00666929\pi\) |
−0.121546 | + | 0.992586i | \(0.538785\pi\) | |||||||
\(102\) | 0.828863 | + | 4.62876i | 0.0820697 | + | 0.458315i | ||||
\(103\) | −1.42993 | − | 0.918961i | −0.140895 | − | 0.0905479i | 0.468294 | − | 0.883573i | \(-0.344869\pi\) |
−0.609190 | + | 0.793025i | \(0.708505\pi\) | |||||||
\(104\) | − | 1.71582i | − | 0.168250i | ||||||
\(105\) | −0.819245 | + | 0.567224i | −0.0799501 | + | 0.0553554i | ||||
\(106\) | −0.782926 | − | 0.503156i | −0.0760445 | − | 0.0488708i | ||||
\(107\) | 1.69345 | − | 5.76736i | 0.163712 | − | 0.557551i | −0.836246 | − | 0.548355i | \(-0.815254\pi\) |
0.999958 | − | 0.00919665i | \(-0.00292742\pi\) | |||||||
\(108\) | 1.24200 | + | 11.9955i | 0.119512 | + | 1.15426i | ||||
\(109\) | −1.53849 | − | 2.39394i | −0.147361 | − | 0.229298i | 0.759724 | − | 0.650246i | \(-0.225334\pi\) |
−0.907085 | + | 0.420947i | \(0.861698\pi\) | |||||||
\(110\) | −1.82596 | + | 12.6998i | −0.174098 | + | 1.21088i | ||||
\(111\) | 9.03570 | − | 15.1835i | 0.857631 | − | 1.44116i | ||||
\(112\) | −1.62803 | − | 0.743495i | −0.153834 | − | 0.0702537i | ||||
\(113\) | 8.47293 | + | 2.48788i | 0.797066 | + | 0.234040i | 0.654813 | − | 0.755791i | \(-0.272747\pi\) |
0.142253 | + | 0.989830i | \(0.454565\pi\) | |||||||
\(114\) | −5.67067 | + | 9.52896i | −0.531107 | + | 0.892469i | ||||
\(115\) | 1.30132 | − | 1.12760i | 0.121349 | − | 0.105149i | ||||
\(116\) | 8.19775 | − | 1.17866i | 0.761142 | − | 0.109436i | ||||
\(117\) | −3.71636 | + | 6.76384i | −0.343578 | + | 0.625317i | ||||
\(118\) | −1.30240 | − | 4.43557i | −0.119896 | − | 0.408328i | ||||
\(119\) | −0.470245 | − | 0.542692i | −0.0431073 | − | 0.0497485i | ||||
\(120\) | 0.885808 | − | 0.822554i | 0.0808629 | − | 0.0750886i | ||||
\(121\) | 20.0186 | − | 12.8652i | 1.81988 | − | 1.16956i | ||||
\(122\) | −8.62533 | − | 13.4213i | −0.780901 | − | 1.21511i | ||||
\(123\) | −4.82804 | − | 3.90112i | −0.435330 | − | 0.351752i | ||||
\(124\) | 1.37487 | + | 0.627880i | 0.123467 | + | 0.0563853i | ||||
\(125\) | −6.10206 | + | 7.04215i | −0.545785 | + | 0.629869i | ||||
\(126\) | −2.04746 | − | 2.75007i | −0.182402 | − | 0.244996i | ||||
\(127\) | −13.1828 | + | 15.2137i | −1.16978 | + | 1.35000i | −0.244992 | + | 0.969525i | \(0.578785\pi\) |
−0.924791 | + | 0.380476i | \(0.875760\pi\) | |||||||
\(128\) | 5.05381 | + | 1.48393i | 0.446698 | + | 0.131162i | ||||
\(129\) | −8.86871 | + | 10.9760i | −0.780847 | + | 0.966379i | ||||
\(130\) | 5.53848 | − | 0.796314i | 0.485757 | − | 0.0698413i | ||||
\(131\) | 9.57685 | − | 4.37360i | 0.836733 | − | 0.382123i | 0.0494964 | − | 0.998774i | \(-0.484238\pi\) |
0.787237 | + | 0.616651i | \(0.211511\pi\) | |||||||
\(132\) | −23.5733 | − | 2.56562i | −2.05179 | − | 0.223308i | ||||
\(133\) | − | 1.69331i | − | 0.146828i | ||||||
\(134\) | 11.6260 | − | 12.4232i | 1.00433 | − | 1.07320i | ||||
\(135\) | −5.27350 | + | 1.32394i | −0.453870 | + | 0.113946i | ||||
\(136\) | 0.658358 | + | 0.570471i | 0.0564537 | + | 0.0489174i | ||||
\(137\) | −1.88398 | − | 4.12534i | −0.160959 | − | 0.352452i | 0.811919 | − | 0.583771i | \(-0.198423\pi\) |
−0.972878 | + | 0.231319i | \(0.925696\pi\) | |||||||
\(138\) | 4.03149 | + | 4.34151i | 0.343184 | + | 0.369574i | ||||
\(139\) | 4.76426 | + | 16.2256i | 0.404100 | + | 1.37624i | 0.870720 | + | 0.491779i | \(0.163653\pi\) |
−0.466620 | + | 0.884458i | \(0.654529\pi\) | |||||||
\(140\) | −0.376167 | + | 1.28111i | −0.0317919 | + | 0.108273i | ||||
\(141\) | −1.64896 | + | 15.1509i | −0.138867 | + | 1.27594i | ||||
\(142\) | 11.2591 | − | 17.5195i | 0.944842 | − | 1.47020i | ||||
\(143\) | −11.4684 | − | 9.93743i | −0.959036 | − | 0.831010i | ||||
\(144\) | −6.88744 | − | 6.92361i | −0.573953 | − | 0.576967i | ||||
\(145\) | 1.05200 | + | 3.58277i | 0.0873635 | + | 0.297533i | ||||
\(146\) | −3.61100 | + | 2.32065i | −0.298849 | + | 0.192058i | ||||
\(147\) | −10.7119 | − | 4.45346i | −0.883504 | − | 0.367315i | ||||
\(148\) | −3.36934 | − | 23.4343i | −0.276958 | − | 1.92629i | ||||
\(149\) | 7.18425 | − | 6.22519i | 0.588557 | − | 0.509987i | −0.308897 | − | 0.951095i | \(-0.599960\pi\) |
0.897454 | + | 0.441108i | \(0.145414\pi\) | |||||||
\(150\) | −10.9359 | − | 8.83637i | −0.892915 | − | 0.721487i | ||||
\(151\) | −1.43278 | + | 9.96517i | −0.116598 | + | 0.810954i | 0.844660 | + | 0.535303i | \(0.179803\pi\) |
−0.961258 | + | 0.275651i | \(0.911107\pi\) | |||||||
\(152\) | 0.292344 | + | 2.03330i | 0.0237122 | + | 0.164922i | ||||
\(153\) | −1.35967 | − | 3.67478i | −0.109923 | − | 0.297089i | ||||
\(154\) | 6.13227 | − | 2.80051i | 0.494152 | − | 0.225672i | ||||
\(155\) | −0.191986 | + | 0.653846i | −0.0154207 | + | 0.0525181i | ||||
\(156\) | 1.82278 | + | 10.1793i | 0.145940 | + | 0.814994i | ||||
\(157\) | −1.92943 | − | 4.22487i | −0.153985 | − | 0.337181i | 0.816880 | − | 0.576808i | \(-0.195702\pi\) |
−0.970865 | + | 0.239627i | \(0.922975\pi\) | |||||||
\(158\) | −29.8738 | − | 4.29521i | −2.37663 | − | 0.341708i | ||||
\(159\) | 0.716058 | + | 0.297700i | 0.0567871 | + | 0.0236091i | ||||
\(160\) | −1.20631 | + | 8.39009i | −0.0953675 | + | 0.663295i | ||||
\(161\) | −0.868088 | − | 0.254894i | −0.0684149 | − | 0.0200884i | ||||
\(162\) | −5.17658 | − | 17.9776i | −0.406711 | − | 1.41245i | ||||
\(163\) | 12.6394 | 0.989994 | 0.494997 | − | 0.868895i | \(-0.335169\pi\) | ||||
0.494997 | + | 0.868895i | \(0.335169\pi\) | |||||||
\(164\) | −8.31729 | −0.649472 | ||||||||
\(165\) | −0.367596 | − | 10.6846i | −0.0286173 | − | 0.831796i | ||||
\(166\) | −29.2913 | − | 13.3769i | −2.27344 | − | 1.03825i | ||||
\(167\) | −5.30659 | + | 4.59819i | −0.410636 | + | 0.355818i | −0.835549 | − | 0.549416i | \(-0.814850\pi\) |
0.424913 | + | 0.905234i | \(0.360305\pi\) | |||||||
\(168\) | −0.615216 | − | 0.157883i | −0.0474649 | − | 0.0121809i | ||||
\(169\) | 2.65123 | − | 5.80539i | 0.203941 | − | 0.446568i | ||||
\(170\) | −1.53587 | + | 2.38986i | −0.117796 | + | 0.183294i | ||||
\(171\) | 3.25156 | − | 8.64855i | 0.248653 | − | 0.661371i | ||||
\(172\) | 18.9083i | 1.44175i | ||||||||
\(173\) | −13.1929 | + | 20.5286i | −1.00304 | + | 1.56076i | −0.187335 | + | 0.982296i | \(0.559985\pi\) |
−0.815706 | + | 0.578466i | \(0.803651\pi\) | |||||||
\(174\) | −12.1958 | + | 4.04141i | −0.924559 | + | 0.306379i | ||||
\(175\) | 2.12516 | + | 0.305552i | 0.160647 | + | 0.0230976i | ||||
\(176\) | 16.1542 | − | 10.3817i | 1.21767 | − | 0.782547i | ||||
\(177\) | 1.71970 | + | 3.44678i | 0.129260 | + | 0.259076i | ||||
\(178\) | −2.23229 | + | 1.01945i | −0.167317 | + | 0.0764112i | ||||
\(179\) | 4.92852 | − | 10.7920i | 0.368375 | − | 0.806628i | −0.631146 | − | 0.775664i | \(-0.717415\pi\) |
0.999520 | − | 0.0309641i | \(-0.00985774\pi\) | |||||||
\(180\) | −4.38131 | + | 5.82091i | −0.326564 | + | 0.433865i | ||||
\(181\) | 0.334972 | + | 0.733486i | 0.0248982 | + | 0.0545196i | 0.921673 | − | 0.387969i | \(-0.126823\pi\) |
−0.896774 | + | 0.442488i | \(0.854096\pi\) | |||||||
\(182\) | −1.92530 | − | 2.22191i | −0.142713 | − | 0.164699i | ||||
\(183\) | 9.04574 | + | 9.74135i | 0.668680 | + | 0.720101i | ||||
\(184\) | 1.08639 | + | 0.156200i | 0.0800900 | + | 0.0115152i | ||||
\(185\) | 10.2418 | − | 3.00726i | 0.752990 | − | 0.221098i | ||||
\(186\) | −2.27112 | − | 0.582838i | −0.166527 | − | 0.0427357i | ||||
\(187\) | 7.62596 | − | 1.09645i | 0.557665 | − | 0.0801802i | ||||
\(188\) | 11.0406 | + | 17.1796i | 0.805221 | + | 1.25295i | ||||
\(189\) | 2.08324 | + | 1.95490i | 0.151534 | + | 0.142198i | ||||
\(190\) | −6.42759 | + | 1.88731i | −0.466306 | + | 0.136920i | ||||
\(191\) | 8.65233 | − | 18.9460i | 0.626061 | − | 1.37088i | −0.284967 | − | 0.958537i | \(-0.591983\pi\) |
0.911028 | − | 0.412345i | \(-0.135290\pi\) | |||||||
\(192\) | −17.7836 | − | 1.93549i | −1.28342 | − | 0.139682i | ||||
\(193\) | 16.6073 | + | 10.6729i | 1.19542 | + | 0.768250i | 0.978158 | − | 0.207863i | \(-0.0666508\pi\) |
0.217263 | + | 0.976113i | \(0.430287\pi\) | |||||||
\(194\) | 25.1626 | + | 21.8035i | 1.80657 | + | 1.56540i | ||||
\(195\) | −4.42573 | + | 1.46659i | −0.316933 | + | 0.105025i | ||||
\(196\) | −14.9149 | + | 4.37940i | −1.06535 | + | 0.312814i | ||||
\(197\) | −3.12662 | − | 21.7462i | −0.222763 | − | 1.54935i | −0.727519 | − | 0.686087i | \(-0.759327\pi\) |
0.504756 | − | 0.863262i | \(-0.331582\pi\) | |||||||
\(198\) | 36.6982 | − | 2.52814i | 2.60803 | − | 0.179667i | ||||
\(199\) | 4.10348 | − | 4.73567i | 0.290888 | − | 0.335703i | −0.591430 | − | 0.806356i | \(-0.701436\pi\) |
0.882318 | + | 0.470654i | \(0.155982\pi\) | |||||||
\(200\) | −2.60462 | −0.184174 | ||||||||
\(201\) | −7.71104 | + | 11.8971i | −0.543895 | + | 0.839154i | ||||
\(202\) | −28.0161 | −1.97121 | ||||||||
\(203\) | 1.28481 | − | 1.48276i | 0.0901763 | − | 0.104069i | ||||
\(204\) | −4.51181 | − | 2.68497i | −0.315890 | − | 0.187986i | ||||
\(205\) | −0.533668 | − | 3.71174i | −0.0372730 | − | 0.259239i | ||||
\(206\) | 3.39012 | − | 0.995430i | 0.236201 | − | 0.0693549i | ||||
\(207\) | −3.94429 | − | 2.96881i | −0.274147 | − | 0.206346i | ||||
\(208\) | −6.32891 | − | 5.48403i | −0.438831 | − | 0.380249i | ||||
\(209\) | 15.2836 | + | 9.82214i | 1.05719 | + | 0.679412i | ||||
\(210\) | 0.224106 | − | 2.05912i | 0.0154648 | − | 0.142093i | ||||
\(211\) | −5.04036 | + | 11.0369i | −0.346993 | + | 0.759808i | 0.653004 | + | 0.757354i | \(0.273508\pi\) |
−0.999997 | + | 0.00245387i | \(0.999219\pi\) | |||||||
\(212\) | 0.997013 | − | 0.292749i | 0.0684751 | − | 0.0201061i | ||||
\(213\) | −6.66161 | + | 16.0232i | −0.456446 | + | 1.09789i | ||||
\(214\) | 6.75506 | + | 10.5111i | 0.461766 | + | 0.718523i | ||||
\(215\) | −8.43819 | + | 1.21323i | −0.575480 | + | 0.0827415i | ||||
\(216\) | −2.83904 | − | 1.98775i | −0.193172 | − | 0.135249i | ||||
\(217\) | 0.343550 | − | 0.100875i | 0.0233217 | − | 0.00684787i | ||||
\(218\) | 5.85503 | + | 0.841827i | 0.396553 | + | 0.0570157i | ||||
\(219\) | 2.62092 | − | 2.43376i | 0.177105 | − | 0.164458i | ||||
\(220\) | −9.38112 | − | 10.8264i | −0.632475 | − | 0.729915i | ||||
\(221\) | −1.39577 | − | 3.05630i | −0.0938895 | − | 0.205589i | ||||
\(222\) | 11.5529 | + | 34.8631i | 0.775378 | + | 2.33986i | ||||
\(223\) | −7.06897 | + | 15.4789i | −0.473373 | + | 1.03654i | 0.510859 | + | 0.859664i | \(0.329327\pi\) |
−0.984233 | + | 0.176879i | \(0.943400\pi\) | |||||||
\(224\) | 4.05126 | − | 1.85015i | 0.270686 | − | 0.123618i | ||||
\(225\) | 10.2675 | + | 5.64144i | 0.684501 | + | 0.376096i | ||||
\(226\) | −15.4420 | + | 9.92399i | −1.02719 | + | 0.660134i | ||||
\(227\) | −22.7278 | − | 3.26776i | −1.50850 | − | 0.216889i | −0.662089 | − | 0.749425i | \(-0.730330\pi\) |
−0.846407 | + | 0.532536i | \(0.821239\pi\) | |||||||
\(228\) | −3.89441 | − | 11.7522i | −0.257914 | − | 0.778307i | ||||
\(229\) | 5.60453 | − | 8.72083i | 0.370358 | − | 0.576288i | −0.605188 | − | 0.796082i | \(-0.706902\pi\) |
0.975546 | + | 0.219794i | \(0.0705385\pi\) | |||||||
\(230\) | 3.57925i | 0.236009i | ||||||||
\(231\) | −4.61839 | + | 3.19765i | −0.303868 | + | 0.210390i | ||||
\(232\) | −1.28679 | + | 2.00229i | −0.0844822 | + | 0.131457i | ||||
\(233\) | −0.475061 | + | 1.04024i | −0.0311223 | + | 0.0681483i | −0.924555 | − | 0.381049i | \(-0.875563\pi\) |
0.893432 | + | 0.449198i | \(0.148290\pi\) | |||||||
\(234\) | −5.56682 | − | 15.0454i | −0.363915 | − | 0.983551i | ||||
\(235\) | −6.95828 | + | 6.02938i | −0.453908 | + | 0.393314i | ||||
\(236\) | 4.69503 | + | 2.14415i | 0.305621 | + | 0.139572i | ||||
\(237\) | 25.1335 | − | 0.864696i | 1.63259 | − | 0.0561680i | ||||
\(238\) | 1.49266 | 0.0967548 | ||||||||
\(239\) | −13.1434 | −0.850175 | −0.425088 | − | 0.905152i | \(-0.639757\pi\) | ||||
−0.425088 | + | 0.905152i | \(0.639757\pi\) | |||||||
\(240\) | −0.202860 | − | 5.89637i | −0.0130946 | − | 0.380609i | ||||
\(241\) | −6.92579 | − | 2.03360i | −0.446129 | − | 0.130995i | 0.0509486 | − | 0.998701i | \(-0.483776\pi\) |
−0.497078 | + | 0.867706i | \(0.665594\pi\) | |||||||
\(242\) | −7.03952 | + | 48.9610i | −0.452518 | + | 3.14733i | ||||
\(243\) | 6.88626 | + | 13.9850i | 0.441754 | + | 0.897136i | ||||
\(244\) | 17.6315 | + | 2.53502i | 1.12874 | + | 0.162288i | ||||
\(245\) | −2.91138 | − | 6.37503i | −0.186001 | − | 0.407286i | ||||
\(246\) | 12.7006 | − | 2.27427i | 0.809760 | − | 0.145002i | ||||
\(247\) | 2.23217 | − | 7.60208i | 0.142030 | − | 0.483709i | ||||
\(248\) | −0.395114 | + | 0.180443i | −0.0250898 | + | 0.0114581i | ||||
\(249\) | 25.9895 | + | 6.66967i | 1.64702 | + | 0.422673i | ||||
\(250\) | −2.75653 | − | 19.1721i | −0.174338 | − | 1.21255i | ||||
\(251\) | 3.11424 | − | 21.6600i | 0.196569 | − | 1.36717i | −0.617578 | − | 0.786510i | \(-0.711886\pi\) |
0.814147 | − | 0.580658i | \(-0.197205\pi\) | |||||||
\(252\) | 3.81755 | + | 0.283086i | 0.240483 | + | 0.0178328i | ||||
\(253\) | 7.33604 | − | 6.35671i | 0.461213 | − | 0.399643i | ||||
\(254\) | −5.95517 | − | 41.4191i | −0.373660 | − | 2.59886i | ||||
\(255\) | 0.908723 | − | 2.18575i | 0.0569064 | − | 0.136877i | ||||
\(256\) | 8.16630 | − | 5.24816i | 0.510394 | − | 0.328010i | ||||
\(257\) | −3.15290 | − | 10.7378i | −0.196673 | − | 0.669805i | −0.997484 | − | 0.0708890i | \(-0.977416\pi\) |
0.800812 | − | 0.598916i | \(-0.204402\pi\) | |||||||
\(258\) | −5.17028 | − | 28.8732i | −0.321888 | − | 1.79757i | ||||
\(259\) | −4.23864 | − | 3.67280i | −0.263376 | − | 0.228217i | ||||
\(260\) | −3.37760 | + | 5.25564i | −0.209470 | + | 0.325941i | ||||
\(261\) | 9.40943 | − | 5.10600i | 0.582429 | − | 0.316053i | ||||
\(262\) | −6.16566 | + | 20.9983i | −0.380916 | + | 1.29728i | ||||
\(263\) | −0.433706 | − | 1.47707i | −0.0267435 | − | 0.0910798i | 0.945040 | − | 0.326955i | \(-0.106023\pi\) |
−0.971783 | + | 0.235875i | \(0.924204\pi\) | |||||||
\(264\) | 4.99363 | − | 4.63704i | 0.307337 | − | 0.285390i | ||||
\(265\) | 0.194617 | + | 0.426151i | 0.0119552 | + | 0.0261782i | ||||
\(266\) | 2.66011 | + | 2.30500i | 0.163102 | + | 0.141328i | ||||
\(267\) | 1.68120 | − | 1.16402i | 0.102888 | − | 0.0712368i | ||||
\(268\) | 1.98228 | + | 18.8934i | 0.121087 | + | 1.15410i | ||||
\(269\) | 27.4825i | 1.67564i | 0.545948 | + | 0.837819i | \(0.316170\pi\) | ||||
−0.545948 | + | 0.837819i | \(0.683830\pi\) | |||||||
\(270\) | 5.09864 | − | 10.0866i | 0.310294 | − | 0.613852i | ||||
\(271\) | 6.44698 | − | 2.94424i | 0.391626 | − | 0.178850i | −0.209863 | − | 0.977731i | \(-0.567302\pi\) |
0.601489 | + | 0.798881i | \(0.294574\pi\) | |||||||
\(272\) | 4.20843 | − | 0.605081i | 0.255174 | − | 0.0366884i | ||||
\(273\) | 1.90547 | + | 1.53965i | 0.115324 | + | 0.0931836i | ||||
\(274\) | 9.04527 | + | 2.65593i | 0.546445 | + | 0.160451i | ||||
\(275\) | −15.0850 | + | 17.4090i | −0.909661 | + | 1.04980i | ||||
\(276\) | −6.61107 | + | 0.227449i | −0.397940 | + | 0.0136908i | ||||
\(277\) | −4.91266 | + | 5.66952i | −0.295173 | + | 0.340648i | −0.883893 | − | 0.467689i | \(-0.845087\pi\) |
0.588720 | + | 0.808337i | \(0.299632\pi\) | |||||||
\(278\) | −31.9750 | − | 14.6025i | −1.91773 | − | 0.875798i | ||||
\(279\) | 1.94838 | + | 0.144480i | 0.116647 | + | 0.00864981i | ||||
\(280\) | −0.207451 | − | 0.322799i | −0.0123975 | − | 0.0192910i | ||||
\(281\) | 11.6245 | − | 7.47061i | 0.693460 | − | 0.445660i | −0.145855 | − | 0.989306i | \(-0.546593\pi\) |
0.839314 | + | 0.543647i | \(0.182957\pi\) | |||||||
\(282\) | −21.5567 | − | 23.2144i | −1.28368 | − | 1.38240i | ||||
\(283\) | −12.5594 | − | 14.4944i | −0.746581 | − | 0.861600i | 0.247651 | − | 0.968849i | \(-0.420341\pi\) |
−0.994232 | + | 0.107249i | \(0.965796\pi\) | |||||||
\(284\) | 6.55083 | + | 22.3101i | 0.388720 | + | 1.32386i | ||||
\(285\) | 4.99474 | − | 2.49201i | 0.295863 | − | 0.147614i | ||||
\(286\) | 31.2225 | − | 4.48912i | 1.84622 | − | 0.265447i | ||||
\(287\) | −1.48906 | + | 1.29028i | −0.0878967 | + | 0.0761629i | ||||
\(288\) | 24.2445 | − | 1.67020i | 1.42862 | − | 0.0984177i | ||||
\(289\) | −14.6746 | − | 4.30886i | −0.863213 | − | 0.253462i | ||||
\(290\) | −7.06038 | − | 3.22437i | −0.414600 | − | 0.189341i | ||||
\(291\) | −23.8408 | − | 14.1876i | −1.39757 | − | 0.831692i | ||||
\(292\) | 0.682050 | − | 4.74376i | 0.0399139 | − | 0.277608i | ||||
\(293\) | −13.0317 | − | 20.2778i | −0.761323 | − | 1.18464i | −0.978042 | − | 0.208407i | \(-0.933172\pi\) |
0.216719 | − | 0.976234i | \(-0.430464\pi\) | |||||||
\(294\) | 21.5777 | − | 10.7657i | 1.25843 | − | 0.627868i | ||||
\(295\) | −0.655615 | + | 2.23282i | −0.0381714 | + | 0.130000i | ||||
\(296\) | 5.72379 | + | 3.67846i | 0.332689 | + | 0.213806i | ||||
\(297\) | −29.7287 | + | 7.46353i | −1.72503 | + | 0.433078i | ||||
\(298\) | 19.7601i | 1.14467i | ||||||||
\(299\) | −3.56126 | − | 2.28868i | −0.205953 | − | 0.132358i | ||||
\(300\) | 15.4521 | − | 2.76699i | 0.892130 | − | 0.159752i | ||||
\(301\) | 2.93330 | + | 3.38521i | 0.169072 | + | 0.195120i | ||||
\(302\) | −13.7045 | − | 15.8158i | −0.788604 | − | 0.910097i | ||||
\(303\) | 22.9789 | − | 4.11479i | 1.32010 | − | 0.236389i | ||||
\(304\) | 8.43432 | + | 5.42041i | 0.483742 | + | 0.310882i | ||||
\(305\) | 8.03102i | 0.459855i | ||||||||
\(306\) | 7.62375 | + | 2.86628i | 0.435821 | + | 0.163854i | ||||
\(307\) | −29.1182 | − | 18.7132i | −1.66187 | − | 1.06802i | −0.915359 | − | 0.402638i | \(-0.868093\pi\) |
−0.746507 | − | 0.665378i | \(-0.768270\pi\) | |||||||
\(308\) | −2.12059 | + | 7.22208i | −0.120832 | + | 0.411516i | ||||
\(309\) | −2.63439 | + | 1.31437i | −0.149865 | + | 0.0747720i | ||||
\(310\) | −0.765822 | − | 1.19164i | −0.0434958 | − | 0.0676807i | ||||
\(311\) | −4.01291 | + | 27.9104i | −0.227551 | + | 1.58265i | 0.480824 | + | 0.876817i | \(0.340338\pi\) |
−0.708375 | + | 0.705836i | \(0.750572\pi\) | |||||||
\(312\) | −2.55388 | − | 1.51981i | −0.144585 | − | 0.0860423i | ||||
\(313\) | 18.6325 | + | 8.50917i | 1.05317 | + | 0.480967i | 0.865314 | − | 0.501230i | \(-0.167119\pi\) |
0.187856 | + | 0.982197i | \(0.439846\pi\) | |||||||
\(314\) | 9.26349 | + | 2.72001i | 0.522769 | + | 0.153499i | ||||
\(315\) | 0.118616 | + | 1.72181i | 0.00668324 | + | 0.0970133i | ||||
\(316\) | 25.4669 | − | 22.0672i | 1.43263 | − | 1.24138i | ||||
\(317\) | 8.07877 | − | 1.16155i | 0.453749 | − | 0.0652392i | 0.0883483 | − | 0.996090i | \(-0.471841\pi\) |
0.365400 | + | 0.930850i | \(0.380932\pi\) | |||||||
\(318\) | −1.44240 | + | 0.719653i | −0.0808857 | + | 0.0403562i | ||||
\(319\) | 5.93049 | + | 20.1974i | 0.332044 | + | 1.13084i | ||||
\(320\) | −7.07708 | − | 8.16739i | −0.395621 | − | 0.456571i | ||||
\(321\) | −7.08431 | − | 7.62909i | −0.395408 | − | 0.425814i | ||||
\(322\) | 1.58210 | − | 1.01675i | 0.0881670 | − | 0.0566615i | ||||
\(323\) | 2.17476 | + | 3.38400i | 0.121007 | + | 0.188291i | ||||
\(324\) | 18.9545 | + | 8.77650i | 1.05303 | + | 0.487583i | ||||
\(325\) | 9.13810 | + | 4.17323i | 0.506891 | + | 0.231489i | ||||
\(326\) | −17.2053 | + | 19.8559i | −0.952911 | + | 1.09972i | ||||
\(327\) | −4.92596 | + | 0.169474i | −0.272406 | + | 0.00937191i | ||||
\(328\) | 1.56528 | − | 1.80643i | 0.0864283 | − | 0.0997436i | ||||
\(329\) | 4.64174 | + | 1.36294i | 0.255907 | + | 0.0751411i | ||||
\(330\) | 17.2854 | + | 13.9668i | 0.951531 | + | 0.768849i | ||||
\(331\) | −10.2591 | + | 1.47504i | −0.563893 | + | 0.0810755i | −0.418366 | − | 0.908279i | \(-0.637397\pi\) |
−0.145527 | + | 0.989354i | \(0.546488\pi\) | |||||||
\(332\) | 32.7042 | − | 14.9355i | 1.79487 | − | 0.819691i | ||||
\(333\) | −14.5961 | − | 26.8980i | −0.799863 | − | 1.47400i | ||||
\(334\) | − | 14.5956i | − | 0.798638i | ||||||
\(335\) | −8.30434 | + | 2.09690i | −0.453714 | + | 0.114566i | ||||
\(336\) | −2.54869 | + | 1.76464i | −0.139042 | + | 0.0962692i | ||||
\(337\) | 17.6356 | + | 15.2814i | 0.960674 | + | 0.832429i | 0.985914 | − | 0.167252i | \(-0.0534894\pi\) |
−0.0252397 | + | 0.999681i | \(0.508035\pi\) | |||||||
\(338\) | 5.51103 | + | 12.0675i | 0.299761 | + | 0.656384i | ||||
\(339\) | 11.2080 | − | 10.4077i | 0.608737 | − | 0.565268i | ||||
\(340\) | −0.893611 | − | 3.04336i | −0.0484629 | − | 0.165049i | ||||
\(341\) | −1.08230 | + | 3.68597i | −0.0586098 | + | 0.199607i | ||||
\(342\) | 9.16031 | + | 16.8808i | 0.495333 | + | 0.912809i | ||||
\(343\) | −4.07156 | + | 6.33548i | −0.219844 | + | 0.342084i | ||||
\(344\) | −4.10671 | − | 3.55848i | −0.221419 | − | 0.191860i | ||||
\(345\) | −0.525694 | − | 2.93572i | −0.0283024 | − | 0.158054i | ||||
\(346\) | −14.2908 | − | 48.6699i | −0.768276 | − | 2.61651i | ||||
\(347\) | 23.6879 | − | 15.2233i | 1.27163 | − | 0.817228i | 0.281800 | − | 0.959473i | \(-0.409069\pi\) |
0.989831 | + | 0.142245i | \(0.0454322\pi\) | |||||||
\(348\) | 5.50692 | − | 13.2458i | 0.295202 | − | 0.710049i | ||||
\(349\) | −1.49312 | − | 10.3849i | −0.0799247 | − | 0.555889i | −0.989959 | − | 0.141355i | \(-0.954854\pi\) |
0.910034 | − | 0.414533i | \(-0.136055\pi\) | |||||||
\(350\) | −3.37286 | + | 2.92260i | −0.180287 | + | 0.156220i | ||||
\(351\) | 6.77569 | + | 11.5227i | 0.361659 | + | 0.615036i | ||||
\(352\) | −6.80044 | + | 47.2981i | −0.362465 | + | 2.52100i | ||||
\(353\) | 0.136930 | + | 0.952366i | 0.00728802 | + | 0.0506893i | 0.993141 | − | 0.116924i | \(-0.0373032\pi\) |
−0.985853 | + | 0.167613i | \(0.946394\pi\) | |||||||
\(354\) | −7.75566 | − | 1.99033i | −0.412209 | − | 0.105785i | ||||
\(355\) | −9.53595 | + | 4.35492i | −0.506116 | + | 0.231135i | ||||
\(356\) | 0.771946 | − | 2.62901i | 0.0409130 | − | 0.139337i | ||||
\(357\) | −1.22429 | + | 0.219231i | −0.0647961 | + | 0.0116029i | ||||
\(358\) | 10.2448 | + | 22.4329i | 0.541453 | + | 1.18562i | ||||
\(359\) | −13.8336 | − | 1.98897i | −0.730108 | − | 0.104974i | −0.232771 | − | 0.972531i | \(-0.574779\pi\) |
−0.497336 | + | 0.867558i | \(0.665688\pi\) | |||||||
\(360\) | −0.439698 | − | 2.04705i | −0.0231741 | − | 0.107889i | ||||
\(361\) | 1.35405 | − | 9.41759i | 0.0712656 | − | 0.495663i | ||||
\(362\) | −1.60825 | − | 0.472224i | −0.0845277 | − | 0.0248196i | ||||
\(363\) | −1.41717 | − | 41.1919i | −0.0743823 | − | 2.16201i | ||||
\(364\) | 3.28257 | 0.172053 | ||||||||
\(365\) | 2.16075 | 0.113099 | ||||||||
\(366\) | −27.6166 | + | 0.950128i | −1.44354 | + | 0.0496640i | ||||
\(367\) | 16.4627 | + | 7.51824i | 0.859343 | + | 0.392449i | 0.795821 | − | 0.605531i | \(-0.207039\pi\) |
0.0635220 | + | 0.997980i | \(0.479767\pi\) | |||||||
\(368\) | 4.04844 | − | 3.50799i | 0.211039 | − | 0.182867i | ||||
\(369\) | −10.0830 | + | 3.73073i | −0.524902 | + | 0.194214i | ||||
\(370\) | −9.21725 | + | 20.1830i | −0.479182 | + | 1.04926i | ||||
\(371\) | 0.133083 | − | 0.207080i | 0.00690930 | − | 0.0107511i | ||||
\(372\) | 2.15236 | − | 1.49024i | 0.111595 | − | 0.0772653i | ||||
\(373\) | − | 33.0563i | − | 1.71159i | −0.517313 | − | 0.855796i | \(-0.673068\pi\) | ||
0.517313 | − | 0.855796i | \(-0.326932\pi\) | |||||||
\(374\) | −8.65829 | + | 13.4726i | −0.447709 | + | 0.696649i | ||||
\(375\) | 5.07677 | + | 15.3202i | 0.262163 | + | 0.791130i | ||||
\(376\) | −5.80904 | − | 0.835213i | −0.299578 | − | 0.0430728i | ||||
\(377\) | 7.72278 | − | 4.96313i | 0.397743 | − | 0.255614i | ||||
\(378\) | −5.90685 | + | 0.611592i | −0.303816 | + | 0.0314569i | ||||
\(379\) | −21.7900 | + | 9.95118i | −1.11928 | + | 0.511158i | −0.887129 | − | 0.461522i | \(-0.847304\pi\) |
−0.232151 | + | 0.972680i | \(0.574576\pi\) | |||||||
\(380\) | 3.10709 | − | 6.80357i | 0.159390 | − | 0.349016i | ||||
\(381\) | 10.9678 | + | 33.0974i | 0.561896 | + | 1.69563i | ||||
\(382\) | 17.9853 | + | 39.3824i | 0.920210 | + | 2.01498i | ||||
\(383\) | −0.491155 | − | 0.566823i | −0.0250969 | − | 0.0289633i | 0.743062 | − | 0.669222i | \(-0.233373\pi\) |
−0.768159 | + | 0.640259i | \(0.778827\pi\) | |||||||
\(384\) | 6.68521 | − | 6.20783i | 0.341153 | − | 0.316792i | ||||
\(385\) | −3.35905 | − | 0.482958i | −0.171193 | − | 0.0246138i | ||||
\(386\) | −39.3731 | + | 11.5610i | −2.00404 | + | 0.588439i | ||||
\(387\) | 8.48136 | + | 22.9226i | 0.431132 | + | 1.16522i | ||||
\(388\) | −36.7959 | + | 5.29045i | −1.86803 | + | 0.268582i | ||||
\(389\) | 9.15615 | + | 14.2473i | 0.464235 | + | 0.722364i | 0.991891 | − | 0.127094i | \(-0.0405650\pi\) |
−0.527655 | + | 0.849459i | \(0.676929\pi\) | |||||||
\(390\) | 3.72053 | − | 8.94899i | 0.188396 | − | 0.453150i | ||||
\(391\) | 2.06220 | − | 0.605517i | 0.104290 | − | 0.0306223i | ||||
\(392\) | 1.85576 | − | 4.06355i | 0.0937300 | − | 0.205240i | ||||
\(393\) | 1.97302 | − | 18.1284i | 0.0995258 | − | 0.914459i | ||||
\(394\) | 38.4183 | + | 24.6899i | 1.93549 | + | 1.24386i | ||||
\(395\) | 11.4819 | + | 9.94916i | 0.577719 | + | 0.500597i | ||||
\(396\) | −24.6991 | + | 32.8146i | −1.24118 | + | 1.64900i | ||||
\(397\) | −27.3866 | + | 8.04143i | −1.37449 | + | 0.403588i | −0.883849 | − | 0.467772i | \(-0.845057\pi\) |
−0.490644 | + | 0.871360i | \(0.663239\pi\) | |||||||
\(398\) | 1.85370 | + | 12.8928i | 0.0929175 | + | 0.646255i | ||||
\(399\) | −2.52037 | − | 1.49987i | −0.126176 | − | 0.0750873i | ||||
\(400\) | −8.32476 | + | 9.60729i | −0.416238 | + | 0.480364i | ||||
\(401\) | −18.5463 | −0.926157 | −0.463078 | − | 0.886317i | \(-0.653255\pi\) | ||||
−0.463078 | + | 0.886317i | \(0.653255\pi\) | |||||||
\(402\) | −8.19316 | − | 28.3084i | −0.408638 | − | 1.41190i | ||||
\(403\) | 1.67534 | 0.0834547 | ||||||||
\(404\) | 20.4843 | − | 23.6402i | 1.01913 | − | 1.17614i | ||||
\(405\) | −2.70048 | + | 9.02193i | −0.134188 | + | 0.448303i | ||||
\(406\) | 0.580400 | + | 4.03677i | 0.0288048 | + | 0.200342i | ||||
\(407\) | 57.7367 | − | 16.9530i | 2.86190 | − | 0.840330i | ||||
\(408\) | 1.43225 | − | 0.474618i | 0.0709072 | − | 0.0234971i | ||||
\(409\) | −28.0859 | − | 24.3366i | −1.38876 | − | 1.20337i | −0.952875 | − | 0.303362i | \(-0.901891\pi\) |
−0.435883 | − | 0.900003i | \(-0.643564\pi\) | |||||||
\(410\) | 6.55742 | + | 4.21420i | 0.323848 | + | 0.208124i | ||||
\(411\) | −7.80905 | − | 0.849903i | −0.385192 | − | 0.0419226i | ||||
\(412\) | −1.63878 | + | 3.58843i | −0.0807370 | + | 0.176789i | ||||
\(413\) | 1.17319 | − | 0.344480i | 0.0577289 | − | 0.0169507i | ||||
\(414\) | 10.0330 | − | 2.15504i | 0.493094 | − | 0.105915i | ||||
\(415\) | 8.76364 | + | 13.6365i | 0.430190 | + | 0.669389i | ||||
\(416\) | 20.6270 | − | 2.96572i | 1.01132 | − | 0.145406i | ||||
\(417\) | 28.3707 | + | 7.28076i | 1.38932 | + | 0.356540i | ||||
\(418\) | −36.2347 | + | 10.6395i | −1.77230 | + | 0.520394i | ||||
\(419\) | 18.5168 | + | 2.66231i | 0.904604 | + | 0.130062i | 0.578890 | − | 0.815406i | \(-0.303486\pi\) |
0.325714 | + | 0.945468i | \(0.394395\pi\) | |||||||
\(420\) | 1.57364 | + | 1.69466i | 0.0767860 | + | 0.0826908i | ||||
\(421\) | −15.6684 | − | 18.0823i | −0.763633 | − | 0.881279i | 0.232182 | − | 0.972672i | \(-0.425413\pi\) |
−0.995815 | + | 0.0913931i | \(0.970868\pi\) | |||||||
\(422\) | −10.4772 | − | 22.9420i | −0.510024 | − | 1.11680i | ||||
\(423\) | 21.0905 | + | 15.8745i | 1.02545 | + | 0.771843i | ||||
\(424\) | −0.124052 | + | 0.271636i | −0.00602449 | + | 0.0131918i | ||||
\(425\) | −4.63947 | + | 2.11878i | −0.225047 | + | 0.102776i | ||||
\(426\) | −16.1036 | − | 32.2765i | −0.780224 | − | 1.56380i | ||||
\(427\) | 3.54987 | − | 2.28136i | 0.171790 | − | 0.110403i | ||||
\(428\) | −13.8084 | − | 1.98534i | −0.667453 | − | 0.0959652i | ||||
\(429\) | −24.9495 | + | 8.26771i | −1.20457 | + | 0.399169i | ||||
\(430\) | 9.58047 | − | 14.9075i | 0.462011 | − | 0.718903i | ||||
\(431\) | − | 3.92364i | − | 0.188995i | −0.995525 | − | 0.0944976i | \(-0.969876\pi\) | ||
0.995525 | − | 0.0944976i | \(-0.0301245\pi\) | |||||||
\(432\) | −16.4059 | + | 4.11880i | −0.789331 | + | 0.198166i | ||||
\(433\) | −2.96101 | + | 4.60743i | −0.142297 | + | 0.221419i | −0.905086 | − | 0.425229i | \(-0.860193\pi\) |
0.762788 | + | 0.646648i | \(0.223830\pi\) | |||||||
\(434\) | −0.309183 | + | 0.677017i | −0.0148413 | + | 0.0324978i | ||||
\(435\) | 6.26452 | + | 1.60766i | 0.300361 | + | 0.0770815i | ||||
\(436\) | −4.99132 | + | 4.32500i | −0.239041 | + | 0.207130i | ||||
\(437\) | 4.61015 | + | 2.10538i | 0.220533 | + | 0.100714i | ||||
\(438\) | 0.255632 | + | 7.43027i | 0.0122146 | + | 0.355032i | ||||
\(439\) | −23.6608 | −1.12927 | −0.564635 | − | 0.825341i | \(-0.690983\pi\) | ||||
−0.564635 | + | 0.825341i | \(0.690983\pi\) | |||||||
\(440\) | 4.11688 | 0.196264 | ||||||||
\(441\) | −16.1169 | + | 11.9992i | −0.767471 | + | 0.571392i | ||||
\(442\) | 6.70129 | + | 1.96768i | 0.318748 | + | 0.0935928i | ||||
\(443\) | 2.50552 | − | 17.4263i | 0.119041 | − | 0.827947i | −0.839575 | − | 0.543244i | \(-0.817196\pi\) |
0.958616 | − | 0.284703i | \(-0.0918951\pi\) | |||||||
\(444\) | −37.8647 | − | 15.7422i | −1.79698 | − | 0.747091i | ||||
\(445\) | 1.22277 | + | 0.175808i | 0.0579649 | + | 0.00833410i | ||||
\(446\) | −14.6941 | − | 32.1755i | −0.695784 | − | 1.52355i | ||||
\(447\) | −2.90221 | − | 16.2073i | −0.137270 | − | 0.766579i | ||||
\(448\) | −1.59977 | + | 5.44831i | −0.0755820 | + | 0.257409i | ||||
\(449\) | 0.264168 | − | 0.120642i | 0.0124669 | − | 0.00569343i | −0.409172 | − | 0.912457i | \(-0.634182\pi\) |
0.421639 | + | 0.906764i | \(0.361455\pi\) | |||||||
\(450\) | −22.8390 | + | 8.45044i | −1.07664 | + | 0.398357i | ||||
\(451\) | −3.00848 | − | 20.9245i | −0.141664 | − | 0.985294i | ||||
\(452\) | 2.91670 | − | 20.2861i | 0.137190 | − | 0.954179i | ||||
\(453\) | 13.5634 | + | 10.9594i | 0.637262 | + | 0.514916i | ||||
\(454\) | 36.0715 | − | 31.2561i | 1.69292 | − | 1.46692i | ||||
\(455\) | 0.210622 | + | 1.46490i | 0.00987409 | + | 0.0686758i | ||||
\(456\) | 3.28537 | + | 1.36589i | 0.153852 | + | 0.0639635i | ||||
\(457\) | 1.45570 | − | 0.935521i | 0.0680947 | − | 0.0437618i | −0.506151 | − | 0.862445i | \(-0.668932\pi\) |
0.574245 | + | 0.818683i | \(0.305296\pi\) | |||||||
\(458\) | 6.07090 | + | 20.6756i | 0.283675 | + | 0.966107i | ||||
\(459\) | −6.67400 | − | 1.23121i | −0.311516 | − | 0.0574680i | ||||
\(460\) | −3.02020 | − | 2.61702i | −0.140817 | − | 0.122019i | ||||
\(461\) | 5.95132 | − | 9.26044i | 0.277181 | − | 0.431302i | −0.674553 | − | 0.738226i | \(-0.735664\pi\) |
0.951734 | + | 0.306925i | \(0.0993000\pi\) | |||||||
\(462\) | 1.26337 | − | 11.6080i | 0.0587773 | − | 0.540055i | ||||
\(463\) | 7.10718 | − | 24.2048i | 0.330299 | − | 1.12489i | −0.612205 | − | 0.790699i | \(-0.709717\pi\) |
0.942504 | − | 0.334195i | \(-0.108464\pi\) | |||||||
\(464\) | 3.27278 | + | 11.1461i | 0.151935 | + | 0.517443i | ||||
\(465\) | 0.803149 | + | 0.864911i | 0.0372451 | + | 0.0401093i | ||||
\(466\) | −0.987496 | − | 2.16231i | −0.0457449 | − | 0.100167i | ||||
\(467\) | −8.21822 | − | 7.12113i | −0.380294 | − | 0.329527i | 0.443648 | − | 0.896201i | \(-0.353684\pi\) |
−0.823942 | + | 0.566675i | \(0.808230\pi\) | |||||||
\(468\) | 16.7657 | + | 6.30334i | 0.774994 | + | 0.291372i | ||||
\(469\) | 3.28587 | + | 3.07502i | 0.151728 | + | 0.141991i | ||||
\(470\) | − | 19.1386i | − | 0.882796i | ||||||
\(471\) | −7.99744 | − | 0.870407i | −0.368502 | − | 0.0401062i | ||||
\(472\) | −1.34928 | + | 0.616194i | −0.0621055 | + | 0.0283626i | ||||
\(473\) | −47.5692 | + | 6.83942i | −2.18723 | + | 0.314477i | ||||
\(474\) | −32.8542 | + | 40.6606i | −1.50905 | + | 1.86760i | ||||
\(475\) | −11.5400 | − | 3.38844i | −0.529490 | − | 0.155472i | ||||
\(476\) | −1.09138 | + | 1.25952i | −0.0500232 | + | 0.0577299i | ||||
\(477\) | 1.07736 | − | 0.802111i | 0.0493291 | − | 0.0367261i | ||||
\(478\) | 17.8913 | − | 20.6477i | 0.818329 | − | 0.944402i | ||||
\(479\) | 21.9268 | + | 10.0136i | 1.00186 | + | 0.457534i | 0.847680 | − | 0.530508i | \(-0.177999\pi\) |
0.154181 | + | 0.988043i | \(0.450726\pi\) | |||||||
\(480\) | 11.4196 | + | 9.22715i | 0.521229 | + | 0.421160i | ||||
\(481\) | −14.1877 | − | 22.0765i | −0.646904 | − | 1.00660i | ||||
\(482\) | 12.6223 | − | 8.11189i | 0.574932 | − | 0.369486i | ||||
\(483\) | −1.14831 | + | 1.06631i | −0.0522500 | + | 0.0485189i | ||||
\(484\) | −36.1666 | − | 41.7384i | −1.64393 | − | 1.89720i | ||||
\(485\) | −4.72191 | − | 16.0814i | −0.214411 | − | 0.730217i | ||||
\(486\) | −31.3436 | − | 8.21890i | −1.42177 | − | 0.372817i | ||||
\(487\) | 24.1354 | − | 3.47014i | 1.09368 | − | 0.157247i | 0.428214 | − | 0.903677i | \(-0.359143\pi\) |
0.665464 | + | 0.746430i | \(0.268234\pi\) | |||||||
\(488\) | −3.86876 | + | 3.35230i | −0.175131 | + | 0.151752i | ||||
\(489\) | 11.1955 | − | 18.8129i | 0.506279 | − | 0.850747i | ||||
\(490\) | 13.9780 | + | 4.10430i | 0.631460 | + | 0.185413i | ||||
\(491\) | −1.21242 | − | 0.553695i | −0.0547159 | − | 0.0249879i | 0.387869 | − | 0.921714i | \(-0.373211\pi\) |
−0.442585 | + | 0.896727i | \(0.645939\pi\) | |||||||
\(492\) | −7.36715 | + | 12.3797i | −0.332137 | + | 0.558120i | ||||
\(493\) | −0.663299 | + | 4.61335i | −0.0298735 | + | 0.207775i | ||||
\(494\) | 8.90400 | + | 13.8549i | 0.400610 | + | 0.623361i | ||||
\(495\) | −16.2289 | − | 8.91690i | −0.729435 | − | 0.400785i | ||||
\(496\) | −0.597273 | + | 2.03413i | −0.0268184 | + | 0.0913350i | ||||
\(497\) | 4.63383 | + | 2.97798i | 0.207856 | + | 0.133581i | ||||
\(498\) | −45.8556 | + | 31.7492i | −2.05484 | + | 1.42272i | ||||
\(499\) | − | 17.5683i | − | 0.786465i | −0.919439 | − | 0.393233i | \(-0.871357\pi\) | ||
0.919439 | − | 0.393233i | \(-0.128643\pi\) | |||||||
\(500\) | 18.1930 | + | 11.6919i | 0.813617 | + | 0.522880i | ||||
\(501\) | 2.14370 | + | 11.9714i | 0.0957733 | + | 0.534843i | ||||
\(502\) | 29.7877 | + | 34.3768i | 1.32949 | + | 1.53431i | ||||
\(503\) | 6.29117 | + | 7.26039i | 0.280509 | + | 0.323725i | 0.878467 | − | 0.477803i | \(-0.158567\pi\) |
−0.597958 | + | 0.801527i | \(0.704021\pi\) | |||||||
\(504\) | −0.779933 | + | 0.775859i | −0.0347410 | + | 0.0345595i | ||||
\(505\) | 11.8642 | + | 7.62466i | 0.527950 | + | 0.339293i | ||||
\(506\) | 20.1776i | 0.897003i | ||||||||
\(507\) | −6.29255 | − | 9.08837i | −0.279462 | − | 0.403629i | ||||
\(508\) | 39.3039 | + | 25.2591i | 1.74383 | + | 1.12069i | ||||
\(509\) | −4.64782 | + | 15.8290i | −0.206011 | + | 0.701609i | 0.790058 | + | 0.613032i | \(0.210050\pi\) |
−0.996069 | + | 0.0885771i | \(0.971768\pi\) | |||||||
\(510\) | 2.19673 | + | 4.40289i | 0.0972727 | + | 0.194963i | ||||
\(511\) | −0.613802 | − | 0.955094i | −0.0271530 | − | 0.0422509i | ||||
\(512\) | −4.37086 | + | 30.4000i | −0.193166 | + | 1.34350i | ||||
\(513\) | −9.99264 | − | 12.5003i | −0.441186 | − | 0.551901i | ||||
\(514\) | 21.1604 | + | 9.66365i | 0.933347 | + | 0.426245i | ||||
\(515\) | −1.70655 | − | 0.501089i | −0.0751996 | − | 0.0220806i | ||||
\(516\) | 28.1438 | + | 16.7483i | 1.23896 | + | 0.737304i | ||||
\(517\) | −39.2264 | + | 33.9899i | −1.72518 | + | 1.49487i | ||||
\(518\) | 11.5396 | − | 1.65914i | 0.507021 | − | 0.0728986i | ||||
\(519\) | 18.8696 | + | 37.8203i | 0.828283 | + | 1.66013i | ||||
\(520\) | −0.505823 | − | 1.72267i | −0.0221818 | − | 0.0755442i | ||||
\(521\) | −19.2229 | − | 22.1844i | −0.842172 | − | 0.971918i | 0.157707 | − | 0.987486i | \(-0.449590\pi\) |
−0.999879 | + | 0.0155679i | \(0.995044\pi\) | |||||||
\(522\) | −4.78720 | + | 21.7323i | −0.209530 | + | 0.951196i | ||||
\(523\) | 15.0577 | − | 9.67701i | 0.658428 | − | 0.423146i | −0.168309 | − | 0.985734i | \(-0.553831\pi\) |
0.826737 | + | 0.562588i | \(0.190194\pi\) | |||||||
\(524\) | −13.2104 | − | 20.5558i | −0.577099 | − | 0.897984i | ||||
\(525\) | 2.33718 | − | 2.89251i | 0.102003 | − | 0.126239i | ||||
\(526\) | 2.91078 | + | 1.32931i | 0.126916 | + | 0.0579606i | ||||
\(527\) | −0.557012 | + | 0.642826i | −0.0242638 | + | 0.0280020i | ||||
\(528\) | −1.14360 | − | 33.2400i | −0.0497687 | − | 1.44659i | ||||
\(529\) | −13.2885 | + | 15.3357i | −0.577760 | + | 0.666771i | ||||
\(530\) | −0.934383 | − | 0.274360i | −0.0405870 | − | 0.0119174i | ||||
\(531\) | 6.65354 | + | 0.493386i | 0.288739 | + | 0.0214111i | ||||
\(532\) | −3.88994 | + | 0.559289i | −0.168650 | + | 0.0242483i | ||||
\(533\) | −8.38603 | + | 3.82977i | −0.363239 | + | 0.165886i | ||||
\(534\) | −0.459896 | + | 4.22560i | −0.0199017 | + | 0.182860i | ||||
\(535\) | − | 6.28962i | − | 0.271924i | ||||||
\(536\) | −4.47652 | − | 3.12514i | −0.193356 | − | 0.134986i | ||||
\(537\) | −11.6976 | − | 16.8949i | −0.504787 | − | 0.729067i | ||||
\(538\) | −43.1738 | − | 37.4103i | −1.86135 | − | 1.61287i | ||||
\(539\) | −16.4125 | − | 35.9384i | −0.706937 | − | 1.54798i | ||||
\(540\) | 4.78322 | + | 11.6772i | 0.205837 | + | 0.502508i | ||||
\(541\) | −5.19976 | − | 17.7088i | −0.223555 | − | 0.761359i | −0.992522 | − | 0.122070i | \(-0.961047\pi\) |
0.768966 | − | 0.639289i | \(-0.220771\pi\) | |||||||
\(542\) | −4.15062 | + | 14.1357i | −0.178284 | + | 0.607181i | ||||
\(543\) | 1.38845 | + | 0.151113i | 0.0595840 | + | 0.00648487i | ||||
\(544\) | −5.72007 | + | 8.90060i | −0.245246 | + | 0.381610i | ||||
\(545\) | −2.25037 | − | 1.94996i | −0.0963953 | − | 0.0835270i | ||||
\(546\) | −5.01252 | + | 0.897583i | −0.214516 | + | 0.0384130i | ||||
\(547\) | 4.50789 | + | 15.3525i | 0.192744 | + | 0.656424i | 0.997983 | + | 0.0634751i | \(0.0202183\pi\) |
−0.805240 | + | 0.592949i | \(0.797963\pi\) | |||||||
\(548\) | −8.85466 | + | 5.69054i | −0.378252 | + | 0.243088i | ||||
\(549\) | 22.5117 | − | 4.83542i | 0.960776 | − | 0.206371i | ||||
\(550\) | −6.81448 | − | 47.3957i | −0.290570 | − | 2.02096i | ||||
\(551\) | −8.30610 | + | 7.19727i | −0.353852 | + | 0.306614i | ||||
\(552\) | 1.19478 | − | 1.47866i | 0.0508532 | − | 0.0629362i | ||||
\(553\) | 1.13606 | − | 7.90149i | 0.0483103 | − | 0.336006i | ||||
\(554\) | −2.21924 | − | 15.4351i | −0.0942864 | − | 0.655776i | ||||
\(555\) | 4.59570 | − | 17.9079i | 0.195076 | − | 0.760147i | ||||
\(556\) | 35.7006 | − | 16.3039i | 1.51404 | − | 0.691439i | ||||
\(557\) | −7.29149 | + | 24.8325i | −0.308950 | + | 1.05219i | 0.647929 | + | 0.761701i | \(0.275636\pi\) |
−0.956879 | + | 0.290487i | \(0.906183\pi\) | |||||||
\(558\) | −2.87919 | + | 2.86415i | −0.121886 | + | 0.121249i | ||||
\(559\) | 8.70652 | + | 19.0646i | 0.368246 | + | 0.806347i | ||||
\(560\) | −1.85371 | − | 0.266523i | −0.0783336 | − | 0.0112627i | ||||
\(561\) | 5.12281 | − | 12.3219i | 0.216285 | − | 0.520231i | ||||
\(562\) | −4.08774 | + | 28.4309i | −0.172431 | + | 1.19928i | ||||
\(563\) | 30.7110 | + | 9.01758i | 1.29432 | + | 0.380046i | 0.855159 | − | 0.518365i | \(-0.173459\pi\) |
0.439157 | + | 0.898410i | \(0.355277\pi\) | |||||||
\(564\) | 35.3500 | − | 1.21619i | 1.48850 | − | 0.0512107i | ||||
\(565\) | 9.24019 | 0.388738 | ||||||||
\(566\) | 39.8664 | 1.67571 | ||||||||
\(567\) | 4.75499 | − | 1.36918i | 0.199691 | − | 0.0575003i | ||||
\(568\) | −6.07837 | − | 2.77590i | −0.255043 | − | 0.116474i | ||||
\(569\) | −2.47095 | + | 2.14109i | −0.103588 | + | 0.0897594i | −0.705115 | − | 0.709093i | \(-0.749105\pi\) |
0.601527 | + | 0.798852i | \(0.294559\pi\) | |||||||
\(570\) | −2.88419 | + | 11.2387i | −0.120806 | + | 0.470738i | ||||
\(571\) | 2.11869 | − | 4.63929i | 0.0886645 | − | 0.194148i | −0.860105 | − | 0.510117i | \(-0.829602\pi\) |
0.948770 | + | 0.315969i | \(0.102329\pi\) | |||||||
\(572\) | −19.0408 | + | 29.6280i | −0.796135 | + | 1.23881i | ||||
\(573\) | −20.5358 | − | 29.6600i | −0.857897 | − | 1.23907i | ||||
\(574\) | − | 4.09563i | − | 0.170948i | ||||||
\(575\) | −3.47422 | + | 5.40600i | −0.144885 | + | 0.225446i | ||||
\(576\) | −18.6329 | + | 24.7553i | −0.776371 | + | 1.03147i | ||||
\(577\) | 39.2069 | + | 5.63710i | 1.63221 | + | 0.234676i | 0.896634 | − | 0.442772i | \(-0.146005\pi\) |
0.735571 | + | 0.677448i | \(0.236914\pi\) | |||||||
\(578\) | 26.7447 | − | 17.1878i | 1.11243 | − | 0.714917i | ||||
\(579\) | 30.5960 | − | 15.2652i | 1.27153 | − | 0.634399i | ||||
\(580\) | 7.88303 | − | 3.60006i | 0.327325 | − | 0.149484i | ||||
\(581\) | 3.53812 | − | 7.74741i | 0.146786 | − | 0.321417i | ||||
\(582\) | 54.7411 | − | 18.1400i | 2.26909 | − | 0.751927i | ||||
\(583\) | 1.09713 | + | 2.40237i | 0.0454383 | + | 0.0994960i | ||||
\(584\) | 0.901938 | + | 1.04089i | 0.0373225 | + | 0.0430724i | ||||
\(585\) | −1.73723 | + | 7.88643i | −0.0718256 | + | 0.326064i | ||||
\(586\) | 49.5948 | + | 7.13066i | 2.04874 | + | 0.294565i | ||||
\(587\) | −27.8288 | + | 8.17128i | −1.14862 | + | 0.337265i | −0.800000 | − | 0.600000i | \(-0.795167\pi\) |
−0.348619 | + | 0.937265i | \(0.613349\pi\) | |||||||
\(588\) | −6.69261 | + | 26.0788i | −0.275999 | + | 1.07547i | ||||
\(589\) | −1.98533 | + | 0.285447i | −0.0818041 | + | 0.0117617i | ||||
\(590\) | −2.61521 | − | 4.06934i | −0.107666 | − | 0.167532i | ||||
\(591\) | −35.1371 | − | 14.6082i | −1.44535 | − | 0.600900i | ||||
\(592\) | 31.8624 | − | 9.35563i | 1.30953 | − | 0.384514i | ||||
\(593\) | −3.03813 | + | 6.65258i | −0.124761 | + | 0.273189i | −0.961698 | − | 0.274110i | \(-0.911617\pi\) |
0.836937 | + | 0.547299i | \(0.184344\pi\) | |||||||
\(594\) | 28.7429 | − | 56.8620i | 1.17934 | − | 2.33308i | ||||
\(595\) | −0.632109 | − | 0.406232i | −0.0259139 | − | 0.0166539i | ||||
\(596\) | −16.6737 | − | 14.4478i | −0.682981 | − | 0.591807i | ||||
\(597\) | −3.41400 | − | 10.3024i | −0.139726 | − | 0.421650i | ||||
\(598\) | 8.44315 | − | 2.47913i | 0.345266 | − | 0.101379i | ||||
\(599\) | 5.35418 | + | 37.2391i | 0.218766 | + | 1.52155i | 0.742604 | + | 0.669731i | \(0.233591\pi\) |
−0.523838 | + | 0.851818i | \(0.675500\pi\) | |||||||
\(600\) | −2.30707 | + | 3.87679i | −0.0941858 | + | 0.158269i | ||||
\(601\) | −6.55169 | + | 7.56106i | −0.267249 | + | 0.308422i | −0.873473 | − | 0.486872i | \(-0.838138\pi\) |
0.606224 | + | 0.795294i | \(0.292683\pi\) | |||||||
\(602\) | −9.31092 | −0.379485 | ||||||||
\(603\) | 10.8778 | + | 22.0153i | 0.442977 | + | 0.896533i | ||||
\(604\) | 23.3657 | 0.950736 | ||||||||
\(605\) | 16.3059 | − | 18.8181i | 0.662931 | − | 0.765063i | ||||
\(606\) | −24.8156 | + | 41.7000i | −1.00807 | + | 1.69395i | ||||
\(607\) | 1.20997 | + | 8.41551i | 0.0491110 | + | 0.341575i | 0.999531 | + | 0.0306070i | \(0.00974404\pi\) |
−0.950420 | + | 0.310968i | \(0.899347\pi\) | |||||||
\(608\) | −23.9383 | + | 7.02893i | −0.970828 | + | 0.285061i | ||||
\(609\) | −1.06894 | − | 3.22573i | −0.0433155 | − | 0.130713i | ||||
\(610\) | −12.6164 | − | 10.9321i | −0.510821 | − | 0.442629i | ||||
\(611\) | 19.0424 | + | 12.2378i | 0.770371 | + | 0.495088i | ||||
\(612\) | −7.99279 | + | 4.33726i | −0.323089 | + | 0.175323i | ||||
\(613\) | 10.0145 | − | 21.9287i | 0.404482 | − | 0.885692i | −0.592314 | − | 0.805707i | \(-0.701786\pi\) |
0.996796 | − | 0.0799849i | \(-0.0254872\pi\) | |||||||
\(614\) | 69.0344 | − | 20.2703i | 2.78600 | − | 0.818044i | ||||
\(615\) | −5.99737 | − | 2.49340i | −0.241837 | − | 0.100543i | ||||
\(616\) | −1.16948 | − | 1.81974i | −0.0471195 | − | 0.0733194i | ||||
\(617\) | 28.7209 | − | 4.12944i | 1.15626 | − | 0.166245i | 0.462613 | − | 0.886560i | \(-0.346912\pi\) |
0.693647 | + | 0.720316i | \(0.256003\pi\) | |||||||
\(618\) | 1.52122 | − | 5.92768i | 0.0611924 | − | 0.238446i | ||||
\(619\) | −14.4116 | + | 4.23164i | −0.579252 | + | 0.170084i | −0.558217 | − | 0.829695i | \(-0.688514\pi\) |
−0.0210352 | + | 0.999779i | \(0.506696\pi\) | |||||||
\(620\) | 1.56546 | + | 0.225079i | 0.0628702 | + | 0.00903937i | ||||
\(621\) | −7.91257 | + | 3.24114i | −0.317521 | + | 0.130063i | ||||
\(622\) | −38.3834 | − | 44.2968i | −1.53903 | − | 1.77614i | ||||
\(623\) | −0.269641 | − | 0.590431i | −0.0108029 | − | 0.0236551i | ||||
\(624\) | −13.7685 | + | 4.56259i | −0.551182 | + | 0.182650i | ||||
\(625\) | 4.06075 | − | 8.89181i | 0.162430 | − | 0.355673i | ||||
\(626\) | −38.7308 | + | 17.6878i | −1.54799 | + | 0.706945i | ||||
\(627\) | 28.1572 | − | 14.0484i | 1.12449 | − | 0.561039i | ||||
\(628\) | −9.06828 | + | 5.82783i | −0.361864 | + | 0.232556i | ||||
\(629\) | 13.1878 | + | 1.89612i | 0.525832 | + | 0.0756033i | ||||
\(630\) | −2.86636 | − | 2.15746i | −0.114198 | − | 0.0859553i | ||||
\(631\) | 9.24257 | − | 14.3817i | 0.367941 | − | 0.572527i | −0.607080 | − | 0.794641i | \(-0.707659\pi\) |
0.975021 | + | 0.222114i | \(0.0712956\pi\) | |||||||
\(632\) | 9.68414i | 0.385214i | ||||||||
\(633\) | 11.9630 | + | 17.2783i | 0.475487 | + | 0.686749i | ||||
\(634\) | −9.17239 | + | 14.2725i | −0.364282 | + | 0.566834i | ||||
\(635\) | −8.75043 | + | 19.1608i | −0.347250 | + | 0.760372i | ||||
\(636\) | 0.447380 | − | 1.74329i | 0.0177398 | − | 0.0691259i | ||||
\(637\) | −13.0216 | + | 11.2833i | −0.515934 | + | 0.447060i | ||||
\(638\) | −39.8020 | − | 18.1770i | −1.57578 | − | 0.719633i | ||||
\(639\) | 17.9488 | + | 24.1081i | 0.710043 | + | 0.953701i | ||||
\(640\) | 5.51146 | 0.217859 | ||||||||
\(641\) | −15.6745 | −0.619106 | −0.309553 | − | 0.950882i | \(-0.600179\pi\) | ||||
−0.309553 | + | 0.950882i | \(0.600179\pi\) | |||||||
\(642\) | 21.6284 | − | 0.744107i | 0.853605 | − | 0.0293676i | ||||
\(643\) | 47.9283 | + | 14.0730i | 1.89011 | + | 0.554986i | 0.993746 | + | 0.111666i | \(0.0356186\pi\) |
0.896363 | + | 0.443320i | \(0.146200\pi\) | |||||||
\(644\) | −0.298829 | + | 2.07840i | −0.0117755 | + | 0.0819004i | ||||
\(645\) | −5.66843 | + | 13.6343i | −0.223194 | + | 0.536849i | ||||
\(646\) | −8.27648 | − | 1.18998i | −0.325634 | − | 0.0468191i | ||||
\(647\) | 2.76943 | + | 6.06421i | 0.108878 | + | 0.238409i | 0.956226 | − | 0.292628i | \(-0.0945299\pi\) |
−0.847349 | + | 0.531037i | \(0.821803\pi\) | |||||||
\(648\) | −5.47334 | + | 2.46503i | −0.215013 | + | 0.0968355i | ||||
\(649\) | −3.69594 | + | 12.5872i | −0.145078 | + | 0.494092i | ||||
\(650\) | −18.9951 | + | 8.67477i | −0.745049 | + | 0.340252i | ||||
\(651\) | 0.154158 | − | 0.600702i | 0.00604193 | − | 0.0235434i | ||||
\(652\) | −4.17472 | − | 29.0358i | −0.163495 | − | 1.13713i | ||||
\(653\) | −0.0890346 | + | 0.619249i | −0.00348419 | + | 0.0242331i | −0.991489 | − | 0.130188i | \(-0.958442\pi\) |
0.988005 | + | 0.154421i | \(0.0493511\pi\) | |||||||
\(654\) | 6.43917 | − | 7.96915i | 0.251792 | − | 0.311618i | ||||
\(655\) | 8.32576 | − | 7.21431i | 0.325314 | − | 0.281887i | ||||
\(656\) | −1.66025 | − | 11.5473i | −0.0648219 | − | 0.450846i | ||||
\(657\) | −1.30097 | − | 6.05679i | −0.0507557 | − | 0.236298i | ||||
\(658\) | −8.45962 | + | 5.43667i | −0.329791 | + | 0.211943i | ||||
\(659\) | −5.10569 | − | 17.3884i | −0.198889 | − | 0.677355i | −0.997178 | − | 0.0750793i | \(-0.976079\pi\) |
0.798288 | − | 0.602276i | \(-0.205739\pi\) | |||||||
\(660\) | −24.4238 | + | 4.37352i | −0.950694 | + | 0.170239i | ||||
\(661\) | 13.6140 | + | 11.7966i | 0.529524 | + | 0.458836i | 0.878122 | − | 0.478437i | \(-0.158797\pi\) |
−0.348597 | + | 0.937273i | \(0.613342\pi\) | |||||||
\(662\) | 11.6479 | − | 18.1245i | 0.452709 | − | 0.704429i | ||||
\(663\) | −5.78541 | − | 0.629660i | −0.224687 | − | 0.0244540i | ||||
\(664\) | −2.91096 | + | 9.91382i | −0.112967 | + | 0.384731i | ||||
\(665\) | −0.499185 | − | 1.70007i | −0.0193576 | − | 0.0659259i | ||||
\(666\) | 62.1244 | + | 13.6848i | 2.40727 | + | 0.530275i | ||||
\(667\) | 2.43943 | + | 5.34160i | 0.0944549 | + | 0.206827i | ||||
\(668\) | 12.3159 | + | 10.6718i | 0.476517 | + | 0.412904i | ||||
\(669\) | 16.7778 | + | 24.2323i | 0.648668 | + | 0.936875i | ||||
\(670\) | 8.01006 | − | 15.9001i | 0.309456 | − | 0.614275i | ||||
\(671\) | 45.2738i | 1.74778i | ||||||||
\(672\) | 0.834641 | − | 7.66882i | 0.0321970 | − | 0.295831i | ||||
\(673\) | −11.0032 | + | 5.02499i | −0.424142 | + | 0.193699i | −0.616039 | − | 0.787716i | \(-0.711263\pi\) |
0.191897 | + | 0.981415i | \(0.438536\pi\) | |||||||
\(674\) | −48.0126 | + | 6.90318i | −1.84938 | + | 0.265900i | ||||
\(675\) | 17.4915 | − | 10.2855i | 0.673247 | − | 0.395889i | ||||
\(676\) | −14.2121 | − | 4.17304i | −0.546619 | − | 0.160502i | ||||
\(677\) | 14.0900 | − | 16.2608i | 0.541524 | − | 0.624952i | −0.417363 | − | 0.908740i | \(-0.637046\pi\) |
0.958887 | + | 0.283788i | \(0.0915912\pi\) | |||||||
\(678\) | 1.09318 | + | 31.7747i | 0.0419834 | + | 1.22030i | ||||
\(679\) | −5.76693 | + | 6.65539i | −0.221314 | + | 0.255410i | ||||
\(680\) | 0.829162 | + | 0.378666i | 0.0317969 | + | 0.0145212i | ||||
\(681\) | −24.9953 | + | 30.9343i | −0.957821 | + | 1.18540i | ||||
\(682\) | −4.31722 | − | 6.71773i | −0.165315 | − | 0.257235i | ||||
\(683\) | 14.0666 | − | 9.04007i | 0.538245 | − | 0.345909i | −0.243107 | − | 0.969999i | \(-0.578167\pi\) |
0.781352 | + | 0.624091i | \(0.214530\pi\) | |||||||
\(684\) | −20.9418 | − | 4.61308i | −0.800730 | − | 0.176385i | ||||
\(685\) | −3.10765 | − | 3.58642i | −0.118737 | − | 0.137030i | ||||
\(686\) | −4.41037 | − | 15.0203i | −0.168389 | − | 0.573479i | ||||
\(687\) | −8.01605 | − | 16.0665i | −0.305831 | − | 0.612977i | ||||
\(688\) | −26.2514 | + | 3.77438i | −1.00082 | + | 0.143897i | ||||
\(689\) | 0.870453 | − | 0.754252i | 0.0331616 | − | 0.0287347i | ||||
\(690\) | 5.32747 | + | 3.17037i | 0.202813 | + | 0.120694i | ||||
\(691\) | −7.45562 | − | 2.18917i | −0.283625 | − | 0.0832799i | 0.136826 | − | 0.990595i | \(-0.456310\pi\) |
−0.420451 | + | 0.907315i | \(0.638128\pi\) | |||||||
\(692\) | 51.5168 | + | 23.5270i | 1.95838 | + | 0.894360i | ||||
\(693\) | 0.668681 | + | 9.70651i | 0.0254011 | + | 0.368720i | ||||
\(694\) | −8.32980 | + | 57.9351i | −0.316195 | + | 2.19918i | ||||
\(695\) | 9.56658 | + | 14.8859i | 0.362881 | + | 0.564654i | ||||
\(696\) | 1.84047 | + | 3.68886i | 0.0697630 | + | 0.139826i | ||||
\(697\) | 1.31868 | − | 4.49102i | 0.0499487 | − | 0.170110i | ||||
\(698\) | 18.3466 | + | 11.7907i | 0.694430 | + | 0.446283i | ||||
\(699\) | 1.12753 | + | 1.62850i | 0.0426472 | + | 0.0615956i | ||||
\(700\) | − | 4.98294i | − | 0.188337i | ||||||
\(701\) | −12.0302 | − | 7.73133i | −0.454374 | − | 0.292008i | 0.293366 | − | 0.956000i | \(-0.405225\pi\) |
−0.747740 | + | 0.663992i | \(0.768861\pi\) | |||||||
\(702\) | −27.3250 | − | 5.04087i | −1.03131 | − | 0.190255i | ||||
\(703\) | 20.5743 | + | 23.7440i | 0.775974 | + | 0.895521i | ||||
\(704\) | −39.8962 | − | 46.0426i | −1.50364 | − | 1.73530i | ||||
\(705\) | 2.81093 | + | 15.6975i | 0.105866 | + | 0.591203i | ||||
\(706\) | −1.68252 | − | 1.08129i | −0.0633223 | − | 0.0406948i | ||||
\(707\) | − | 7.41014i | − | 0.278687i | ||||||
\(708\) | 7.35010 | − | 5.08902i | 0.276234 | − | 0.191257i | ||||
\(709\) | −11.0260 | − | 7.08596i | −0.414089 | − | 0.266119i | 0.316967 | − | 0.948437i | \(-0.397336\pi\) |
−0.731056 | + | 0.682318i | \(0.760972\pi\) | |||||||
\(710\) | 6.13933 | − | 20.9086i | 0.230405 | − | 0.784687i | ||||
\(711\) | 20.9752 | − | 38.1753i | 0.786633 | − | 1.43169i | ||||
\(712\) | 0.425717 | + | 0.662428i | 0.0159544 | + | 0.0248255i | ||||
\(713\) | −0.152515 | + | 1.06076i | −0.00571173 | + | 0.0397259i | ||||
\(714\) | 1.32214 | − | 2.22172i | 0.0494800 | − | 0.0831458i | ||||
\(715\) | −14.4438 | − | 6.59624i | −0.540166 | − | 0.246685i | ||||
\(716\) | −26.4196 | − | 7.75750i | −0.987348 | − | 0.289911i | ||||
\(717\) | −11.6419 | + | 19.5630i | −0.434776 | + | 0.730594i | ||||
\(718\) | 21.9554 | − | 19.0244i | 0.819367 | − | 0.709986i | ||||
\(719\) | −38.1780 | + | 5.48917i | −1.42380 | + | 0.204711i | −0.810777 | − | 0.585354i | \(-0.800955\pi\) |
−0.613022 | + | 0.790066i | \(0.710046\pi\) | |||||||
\(720\) | −8.95602 | − | 4.92085i | −0.333771 | − | 0.183389i | ||||
\(721\) | 0.263287 | + | 0.896673i | 0.00980532 | + | 0.0333939i | ||||
\(722\) | 12.9514 | + | 14.9467i | 0.482002 | + | 0.556260i | ||||
\(723\) | −9.16147 | + | 8.50727i | −0.340719 | + | 0.316389i | ||||
\(724\) | 1.57436 | − | 1.01178i | 0.0585105 | − | 0.0376024i | ||||
\(725\) | −7.53403 | − | 11.7232i | −0.279807 | − | 0.435388i | ||||
\(726\) | 66.6396 | + | 53.8457i | 2.47323 | + | 1.99840i | ||||
\(727\) | 6.50543 | + | 2.97093i | 0.241273 | + | 0.110186i | 0.532382 | − | 0.846504i | \(-0.321297\pi\) |
−0.291109 | + | 0.956690i | \(0.594024\pi\) | |||||||
\(728\) | −0.617767 | + | 0.712941i | −0.0228960 | + | 0.0264234i | ||||
\(729\) | 26.9152 | + | 2.13766i | 0.996861 | + | 0.0791726i | ||||
\(730\) | −2.94130 | + | 3.39444i | −0.108862 | + | 0.125634i | ||||
\(731\) | −10.2098 | − | 2.99786i | −0.377622 | − | 0.110880i | ||||
\(732\) | 19.3905 | − | 23.9978i | 0.716694 | − | 0.886984i | ||||
\(733\) | 2.84978 | − | 0.409736i | 0.105259 | − | 0.0151339i | −0.0894841 | − | 0.995988i | \(-0.528522\pi\) |
0.194743 | + | 0.980854i | \(0.437613\pi\) | |||||||
\(734\) | −34.2204 | + | 15.6279i | −1.26310 | + | 0.576838i | ||||
\(735\) | −12.0676 | − | 1.31338i | −0.445119 | − | 0.0484449i | ||||
\(736\) | 13.3303i | 0.491360i | ||||||||
\(737\) | −46.8146 | + | 11.8210i | −1.72444 | + | 0.435432i | ||||
\(738\) | 7.86462 | − | 20.9184i | 0.289501 | − | 0.770017i | ||||
\(739\) | −12.1579 | − | 10.5349i | −0.447235 | − | 0.387531i | 0.401921 | − | 0.915675i | \(-0.368343\pi\) |
−0.849155 | + | 0.528144i | \(0.822888\pi\) | |||||||
\(740\) | −10.2912 | − | 22.5346i | −0.378312 | − | 0.828388i | ||||
\(741\) | −9.33799 | − | 10.0561i | −0.343040 | − | 0.369419i | ||||
\(742\) | 0.144157 | + | 0.490953i | 0.00529216 | + | 0.0180234i | ||||
\(743\) | −3.47814 | + | 11.8455i | −0.127601 | + | 0.434568i | −0.998367 | − | 0.0571294i | \(-0.981805\pi\) |
0.870766 | + | 0.491698i | \(0.163623\pi\) | |||||||
\(744\) | −0.0814014 | + | 0.747929i | −0.00298432 | + | 0.0274204i | ||||
\(745\) | 5.37776 | − | 8.36796i | 0.197026 | − | 0.306578i | ||||
\(746\) | 51.9300 | + | 44.9976i | 1.90129 | + | 1.64748i | ||||
\(747\) | 32.9479 | − | 32.7758i | 1.20550 | − | 1.19920i | ||||
\(748\) | −5.03762 | − | 17.1565i | −0.184194 | − | 0.627306i | ||||
\(749\) | −2.78013 | + | 1.78668i | −0.101584 | + | 0.0652840i | ||||
\(750\) | −30.9780 | − | 12.8790i | −1.13116 | − | 0.470276i | ||||
\(751\) | −4.25968 | − | 29.6267i | −0.155438 | − | 1.08109i | −0.906908 | − | 0.421328i | \(-0.861564\pi\) |
0.751470 | − | 0.659767i | \(-0.229345\pi\) | |||||||
\(752\) | −21.6473 | + | 18.7575i | −0.789397 | + | 0.684016i | ||||
\(753\) | −29.4809 | − | 23.8210i | −1.07434 | − | 0.868084i | ||||
\(754\) | −2.71570 | + | 18.8881i | −0.0989001 | + | 0.687865i | ||||
\(755\) | 1.49923 | + | 10.4274i | 0.0545624 | + | 0.379490i | ||||
\(756\) | 3.80280 | − | 5.43141i | 0.138307 | − | 0.197539i | ||||
\(757\) | 7.06311 | − | 3.22562i | 0.256713 | − | 0.117237i | −0.282902 | − | 0.959149i | \(-0.591297\pi\) |
0.539615 | + | 0.841912i | \(0.318570\pi\) | |||||||
\(758\) | 14.0286 | − | 47.7771i | 0.509543 | − | 1.73534i | ||||
\(759\) | −2.96353 | − | 16.5497i | −0.107569 | − | 0.600717i | ||||
\(760\) | 0.892926 | + | 1.95524i | 0.0323898 | + | 0.0709239i | ||||
\(761\) | −5.27604 | − | 0.758581i | −0.191256 | − | 0.0274985i | 0.0460209 | − | 0.998940i | \(-0.485346\pi\) |
−0.237277 | + | 0.971442i | \(0.576255\pi\) | |||||||
\(762\) | −66.9243 | − | 27.8237i | −2.42441 | − | 1.00794i | ||||
\(763\) | −0.222659 | + | 1.54863i | −0.00806081 | + | 0.0560642i | ||||
\(764\) | −46.3814 | − | 13.6188i | −1.67802 | − | 0.492711i | ||||
\(765\) | −2.44843 | − | 3.28863i | −0.0885230 | − | 0.118901i | ||||
\(766\) | 1.55903 | 0.0563301 | ||||||||
\(767\) | 5.72113 | 0.206578 | ||||||||
\(768\) | −0.578114 | − | 16.8036i | −0.0208609 | − | 0.606347i | ||||
\(769\) | −2.24138 | − | 1.02360i | −0.0808261 | − | 0.0369120i | 0.374592 | − | 0.927190i | \(-0.377783\pi\) |
−0.455418 | + | 0.890278i | \(0.650510\pi\) | |||||||
\(770\) | 5.33117 | − | 4.61949i | 0.192122 | − | 0.166475i | ||||
\(771\) | −18.7752 | − | 4.81827i | −0.676172 | − | 0.173526i | ||||
\(772\) | 19.0329 | − | 41.6763i | 0.685009 | − | 1.49996i | ||||
\(773\) | 0.598580 | − | 0.931409i | 0.0215294 | − | 0.0335005i | −0.830322 | − | 0.557284i | \(-0.811844\pi\) |
0.851851 | + | 0.523783i | \(0.175480\pi\) | |||||||
\(774\) | −47.5554 | − | 17.8793i | −1.70935 | − | 0.642657i | ||||
\(775\) | − | 2.54317i | − | 0.0913533i | ||||||
\(776\) | 5.77581 | − | 8.98734i | 0.207340 | − | 0.322627i | ||||
\(777\) | −9.22113 | + | 3.05568i | −0.330806 | + | 0.109622i | ||||
\(778\) | −34.8455 | − | 5.01003i | −1.24927 | − | 0.179618i | ||||
\(779\) | 9.28517 | − | 5.96722i | 0.332676 | − | 0.213798i | ||||
\(780\) | 4.83091 | + | 9.68257i | 0.172974 | + | 0.346692i | ||||
\(781\) | −53.7577 | + | 24.5503i | −1.92360 | + | 0.878479i | ||||
\(782\) | −1.85591 | + | 4.06388i | −0.0663672 | + | 0.145324i | ||||
\(783\) | 0.734608 | − | 18.5280i | 0.0262527 | − | 0.662136i | ||||
\(784\) | −9.05735 | − | 19.8328i | −0.323477 | − | 0.708315i | ||||
\(785\) | −3.18263 | − | 3.67295i | −0.113593 | − | 0.131093i | ||||
\(786\) | 25.7932 | + | 27.7767i | 0.920012 | + | 0.990761i | ||||
\(787\) | −3.40848 | − | 0.490066i | −0.121499 | − | 0.0174690i | 0.0812969 | − | 0.996690i | \(-0.474094\pi\) |
−0.202796 | + | 0.979221i | \(0.565003\pi\) | |||||||
\(788\) | −48.9235 | + | 14.3652i | −1.74283 | + | 0.511741i | ||||
\(789\) | −2.58267 | − | 0.662790i | −0.0919455 | − | 0.0235960i | ||||
\(790\) | −31.2594 | + | 4.49442i | −1.11216 | + | 0.159904i | ||||
\(791\) | −2.62485 | − | 4.08435i | −0.0933289 | − | 0.145223i | ||||
\(792\) | −2.47874 | − | 11.5400i | −0.0880782 | − | 0.410056i | ||||
\(793\) | 18.9445 | − | 5.56260i | 0.672738 | − | 0.197534i | ||||
\(794\) | 24.6470 | − | 53.9694i | 0.874689 | − | 1.91530i | ||||
\(795\) | 0.806680 | + | 0.0877956i | 0.0286100 | + | 0.00311379i | ||||
\(796\) | −12.2343 | − | 7.86254i | −0.433635 | − | 0.278680i | ||||
\(797\) | −20.0052 | − | 17.3346i | −0.708619 | − | 0.614022i | 0.224125 | − | 0.974560i | \(-0.428047\pi\) |
−0.932744 | + | 0.360539i | \(0.882593\pi\) | |||||||
\(798\) | 5.78705 | − | 1.91770i | 0.204859 | − | 0.0678859i | ||||
\(799\) | −11.0268 | + | 3.23775i | −0.390099 | + | 0.114543i | ||||
\(800\) | −4.50196 | − | 31.3118i | −0.159168 | − | 1.10704i | ||||
\(801\) | −0.243415 | − | 3.53340i | −0.00860066 | − | 0.124846i | ||||
\(802\) | 25.2459 | − | 29.1353i | 0.891464 | − | 1.02880i | ||||
\(803\) | 12.1810 | 0.429856 | ||||||||
\(804\) | 29.8774 | + | 13.7846i | 1.05369 | + | 0.486146i | ||||
\(805\) | −0.946697 | −0.0333667 | ||||||||
\(806\) | −2.28054 | + | 2.63188i | −0.0803286 | + | 0.0927042i | ||||
\(807\) | 40.9058 | + | 24.3430i | 1.43995 | + | 0.856914i | ||||
\(808\) | 1.27934 | + | 8.89798i | 0.0450069 | + | 0.313030i | ||||
\(809\) | 12.5164 | − | 3.67514i | 0.440053 | − | 0.129211i | −0.0541986 | − | 0.998530i | \(-0.517260\pi\) |
0.494251 | + | 0.869319i | \(0.335442\pi\) | |||||||
\(810\) | −10.4970 | − | 16.5233i | −0.368828 | − | 0.580571i | ||||
\(811\) | −17.5600 | − | 15.2159i | −0.616616 | − | 0.534301i | 0.289583 | − | 0.957153i | \(-0.406483\pi\) |
−0.906199 | + | 0.422852i | \(0.861029\pi\) | |||||||
\(812\) | −3.83062 | − | 2.46179i | −0.134428 | − | 0.0863919i | ||||
\(813\) | 1.32821 | − | 12.2038i | 0.0465822 | − | 0.428005i | ||||
\(814\) | −51.9610 | + | 113.779i | −1.82123 | + | 3.98794i | ||||
\(815\) | 12.6899 | − | 3.72609i | 0.444507 | − | 0.130519i | ||||
\(816\) | 2.82705 | − | 6.79992i | 0.0989667 | − | 0.238045i | ||||
\(817\) | −13.5657 | − | 21.1087i | −0.474605 | − | 0.738500i | ||||
\(818\) | 76.4632 | − | 10.9938i | 2.67347 | − | 0.384388i | ||||
\(819\) | 3.97945 | − | 1.47240i | 0.139053 | − | 0.0514498i | ||||
\(820\) | −8.35051 | + | 2.45193i | −0.291613 | + | 0.0856252i | ||||
\(821\) | 42.0678 | + | 6.04844i | 1.46818 | + | 0.211092i | 0.829553 | − | 0.558428i | \(-0.188595\pi\) |
0.638623 | + | 0.769519i | \(0.279504\pi\) | |||||||
\(822\) | 11.9651 | − | 11.1107i | 0.417332 | − | 0.387531i | ||||
\(823\) | 28.8076 | + | 33.2457i | 1.00417 | + | 1.15887i | 0.987276 | + | 0.159017i | \(0.0508324\pi\) |
0.0168941 | + | 0.999857i | \(0.494622\pi\) | |||||||
\(824\) | −0.470959 | − | 1.03126i | −0.0164066 | − | 0.0359255i | ||||
\(825\) | 12.5504 | + | 37.8733i | 0.436948 | + | 1.31858i | ||||
\(826\) | −1.05583 | + | 2.31195i | −0.0367370 | + | 0.0804429i | ||||
\(827\) | −22.1844 | + | 10.1313i | −0.771427 | + | 0.352299i | −0.761933 | − | 0.647656i | \(-0.775749\pi\) |
−0.00949397 | + | 0.999955i | \(0.503022\pi\) | |||||||
\(828\) | −5.51731 | + | 10.0416i | −0.191740 | + | 0.348969i | ||||
\(829\) | −11.4999 | + | 7.39055i | −0.399409 | + | 0.256684i | −0.724891 | − | 0.688864i | \(-0.758110\pi\) |
0.325482 | + | 0.945548i | \(0.394473\pi\) | |||||||
\(830\) | −33.3517 | − | 4.79525i | −1.15766 | − | 0.166446i | ||||
\(831\) | 4.08722 | + | 12.3340i | 0.141784 | + | 0.427862i | ||||
\(832\) | −14.3643 | + | 22.3513i | −0.497992 | + | 0.774891i | ||||
\(833\) | − | 8.74780i | − | 0.303093i | ||||||
\(834\) | −50.0570 | + | 34.6582i | −1.73333 | + | 1.20011i | ||||
\(835\) | −3.97224 | + | 6.18093i | −0.137465 | + | 0.213900i | ||||
\(836\) | 17.5158 | − | 38.3543i | 0.605797 | − | 1.32651i | ||||
\(837\) | 1.94086 | − | 2.77206i | 0.0670858 | − | 0.0958164i | ||||
\(838\) | −29.3881 | + | 25.4650i | −1.01520 | + | 0.879673i | ||||
\(839\) | 28.7424 | + | 13.1262i | 0.992297 | + | 0.453167i | 0.844329 | − | 0.535825i | \(-0.179999\pi\) |
0.147968 | + | 0.988992i | \(0.452727\pi\) | |||||||
\(840\) | −0.664217 | + | 0.0228518i | −0.0229176 | + | 0.000788463i | ||||
\(841\) | 16.2657 | 0.560886 | ||||||||
\(842\) | 49.7350 | 1.71398 | ||||||||
\(843\) | −0.822929 | − | 23.9195i | −0.0283432 | − | 0.823830i | ||||
\(844\) | 27.0192 | + | 7.93354i | 0.930038 | + | 0.273084i | ||||
\(845\) | 0.950396 | − | 6.61015i | 0.0326946 | − | 0.227396i | ||||
\(846\) | −53.6472 | + | 11.5232i | −1.84443 | + | 0.396175i | ||||
\(847\) | −12.9500 | − | 1.86192i | −0.444966 | − | 0.0639764i | ||||
\(848\) | 0.605456 | + | 1.32576i | 0.0207914 | + | 0.0455269i | ||||
\(849\) | −32.6985 | + | 5.85527i | −1.12221 | + | 0.200952i | ||||
\(850\) | 2.98693 | − | 10.1726i | 0.102451 | − | 0.348916i | ||||
\(851\) | 15.2696 | − | 6.97339i | 0.523435 | − | 0.239045i | ||||
\(852\) | 39.0095 | + | 10.0110i | 1.33644 | + | 0.342971i | ||||
\(853\) | −2.37531 | − | 16.5206i | −0.0813290 | − | 0.565656i | −0.989219 | − | 0.146446i | \(-0.953216\pi\) |
0.907890 | − | 0.419209i | \(-0.137693\pi\) | |||||||
\(854\) | −1.24831 | + | 8.68216i | −0.0427162 | + | 0.297097i | ||||
\(855\) | 0.714966 | − | 9.64165i | 0.0244513 | − | 0.329737i | ||||
\(856\) | 3.02988 | − | 2.62541i | 0.103559 | − | 0.0897345i | ||||
\(857\) | 3.26120 | + | 22.6821i | 0.111400 | + | 0.774806i | 0.966560 | + | 0.256441i | \(0.0825501\pi\) |
−0.855159 | + | 0.518365i | \(0.826541\pi\) | |||||||
\(858\) | 20.9740 | − | 50.4488i | 0.716040 | − | 1.72229i | ||||
\(859\) | −32.9529 | + | 21.1775i | −1.12434 | + | 0.722568i | −0.964371 | − | 0.264554i | \(-0.914775\pi\) |
−0.159967 | + | 0.987122i | \(0.551139\pi\) | |||||||
\(860\) | 5.57417 | + | 18.9839i | 0.190077 | + | 0.647344i | ||||
\(861\) | 0.601535 | + | 3.35925i | 0.0205003 | + | 0.114483i | ||||
\(862\) | 6.16386 | + | 5.34101i | 0.209942 | + | 0.181916i | ||||
\(863\) | −30.5895 | + | 47.5981i | −1.04128 | + | 1.62026i | −0.293930 | + | 0.955827i | \(0.594963\pi\) |
−0.747348 | + | 0.664433i | \(0.768673\pi\) | |||||||
\(864\) | 18.9889 | − | 37.5657i | 0.646017 | − | 1.27801i | ||||
\(865\) | −7.19381 | + | 24.4999i | −0.244597 | + | 0.833021i | ||||
\(866\) | −3.20741 | − | 10.9234i | −0.108992 | − | 0.371193i | ||||
\(867\) | −19.4117 | + | 18.0255i | −0.659255 | + | 0.612179i | ||||
\(868\) | −0.345208 | − | 0.755900i | −0.0117171 | − | 0.0256569i | ||||
\(869\) | 64.7280 | + | 56.0871i | 2.19575 | + | 1.90263i | ||||
\(870\) | −11.0531 | + | 7.65285i | −0.374734 | + | 0.259456i | ||||
\(871\) | 10.6983 | + | 18.1368i | 0.362498 | + | 0.614542i | ||||
\(872\) | − | 1.89801i | − | 0.0642749i | ||||||
\(873\) | −42.2345 | + | 22.9184i | −1.42942 | + | 0.775671i | ||||
\(874\) | −9.58298 | + | 4.37640i | −0.324149 | + | 0.148034i | ||||
\(875\) | 5.07094 | − | 0.729091i | 0.171429 | − | 0.0246478i | ||||
\(876\) | −6.45662 | − | 5.21703i | −0.218149 | − | 0.176267i | ||||
\(877\) | 2.81852 | + | 0.827592i | 0.0951746 | + | 0.0279458i | 0.328973 | − | 0.944339i | \(-0.393297\pi\) |
−0.233799 | + | 0.972285i | \(0.575116\pi\) | |||||||
\(878\) | 32.2080 | − | 37.1701i | 1.08697 | − | 1.25443i | ||||
\(879\) | −41.7251 | + | 1.43552i | −1.40735 | + | 0.0484189i | ||||
\(880\) | 13.1582 | − | 15.1854i | 0.443562 | − | 0.511898i | ||||
\(881\) | −22.6076 | − | 10.3246i | −0.761670 | − | 0.347843i | −0.00358056 | − | 0.999994i | \(-0.501140\pi\) |
−0.758089 | + | 0.652151i | \(0.773867\pi\) | |||||||
\(882\) | 3.08871 | − | 41.6527i | 0.104002 | − | 1.40252i | ||||
\(883\) | 12.4493 | + | 19.3715i | 0.418952 | + | 0.651902i | 0.985017 | − | 0.172459i | \(-0.0551712\pi\) |
−0.566065 | + | 0.824361i | \(0.691535\pi\) | |||||||
\(884\) | −6.56007 | + | 4.21590i | −0.220639 | + | 0.141796i | ||||
\(885\) | 2.74267 | + | 2.95358i | 0.0921940 | + | 0.0992837i | ||||
\(886\) | 23.9653 | + | 27.6574i | 0.805129 | + | 0.929168i | ||||
\(887\) | −7.68241 | − | 26.1639i | −0.257950 | − | 0.878497i | −0.982021 | − | 0.188772i | \(-0.939549\pi\) |
0.724071 | − | 0.689726i | \(-0.242269\pi\) | |||||||
\(888\) | 10.5450 | − | 5.26122i | 0.353869 | − | 0.176555i | ||||
\(889\) | 10.9552 | − | 1.57512i | 0.367424 | − | 0.0528277i | ||||
\(890\) | −1.94067 | + | 1.68160i | −0.0650514 | + | 0.0563674i | ||||
\(891\) | −15.2236 | + | 50.8599i | −0.510010 | + | 1.70387i | ||||
\(892\) | 37.8937 | + | 11.1266i | 1.26877 | + | 0.372545i | ||||
\(893\) | −24.6509 | − | 11.2577i | −0.824909 | − | 0.376723i | ||||
\(894\) | 29.4115 | + | 17.5028i | 0.983668 | + | 0.585380i | ||||
\(895\) | 1.76674 | − | 12.2880i | 0.0590558 | − | 0.410742i | ||||
\(896\) | −1.56563 | − | 2.43617i | −0.0523041 | − | 0.0813868i | ||||
\(897\) | −6.56098 | + | 3.27346i | −0.219065 | + | 0.109298i | ||||
\(898\) | −0.170074 | + | 0.579218i | −0.00567544 | + | 0.0193288i | ||||
\(899\) | −1.95505 | − | 1.25644i | −0.0652047 | − | 0.0419045i | ||||
\(900\) | 9.56847 | − | 25.4503i | 0.318949 | − | 0.848344i | ||||
\(901\) | 0.584763i | 0.0194813i | ||||||||
\(902\) | 36.9666 | + | 23.7570i | 1.23085 | + | 0.791022i | ||||
\(903\) | 7.63685 | − | 1.36752i | 0.254138 | − | 0.0455081i | ||||
\(904\) | 3.85703 | + | 4.45125i | 0.128283 | + | 0.148046i | ||||
\(905\) | 0.552540 | + | 0.637666i | 0.0183671 | + | 0.0211967i | ||||
\(906\) | −35.6796 | + | 6.38909i | −1.18538 | + | 0.212263i | ||||
\(907\) | 5.10884 | + | 3.28325i | 0.169636 | + | 0.109019i | 0.622704 | − | 0.782457i | \(-0.286034\pi\) |
−0.453068 | + | 0.891476i | \(0.649670\pi\) | |||||||
\(908\) | 53.2906i | 1.76851i | ||||||||
\(909\) | 14.2293 | − | 37.8472i | 0.471955 | − | 1.25531i | ||||
\(910\) | −2.58800 | − | 1.66321i | −0.0857915 | − | 0.0551348i | ||||
\(911\) | 6.39633 | − | 21.7839i | 0.211920 | − | 0.721733i | −0.783086 | − | 0.621914i | \(-0.786355\pi\) |
0.995006 | − | 0.0998190i | \(-0.0318264\pi\) | |||||||
\(912\) | 15.5387 | − | 7.75270i | 0.514538 | − | 0.256718i | ||||
\(913\) | 49.4039 | + | 76.8740i | 1.63503 | + | 2.54416i | ||||
\(914\) | −0.511894 | + | 3.56030i | −0.0169320 | + | 0.117764i | ||||
\(915\) | 11.9536 | + | 7.11358i | 0.395174 | + | 0.235168i | ||||
\(916\) | −21.8850 | − | 9.99456i | −0.723102 | − | 0.330229i | ||||
\(917\) | −5.55396 | − | 1.63079i | −0.183408 | − | 0.0538534i | ||||
\(918\) | 11.0191 | − | 8.80858i | 0.363684 | − | 0.290727i | ||||
\(919\) | 20.5746 | − | 17.8280i | 0.678694 | − | 0.588091i | −0.245785 | − | 0.969324i | \(-0.579046\pi\) |
0.924479 | + | 0.381233i | \(0.124500\pi\) | |||||||
\(920\) | 1.13678 | − | 0.163444i | 0.0374785 | − | 0.00538860i | ||||
\(921\) | −53.6451 | + | 26.7650i | −1.76767 | + | 0.881938i | ||||
\(922\) | 6.44655 | + | 21.9549i | 0.212306 | + | 0.723047i | ||||
\(923\) | 16.8778 | + | 19.4781i | 0.555541 | + | 0.641129i | ||||
\(924\) | 8.87122 | + | 9.55341i | 0.291842 | + | 0.314284i | ||||
\(925\) | −33.5121 | + | 21.5369i | −1.10187 | + | 0.708130i | ||||
\(926\) | 28.3501 | + | 44.1136i | 0.931642 | + | 1.44966i | ||||
\(927\) | −0.377097 | + | 5.08533i | −0.0123855 | + | 0.167024i | ||||
\(928\) | −26.2951 | − | 12.0085i | −0.863177 | − | 0.394200i | ||||
\(929\) | −9.72756 | + | 11.2262i | −0.319151 | + | 0.368320i | −0.892544 | − | 0.450961i | \(-0.851081\pi\) |
0.573393 | + | 0.819281i | \(0.305627\pi\) | |||||||
\(930\) | −2.45201 | + | 0.0843595i | −0.0804047 | + | 0.00276626i | ||||
\(931\) | 13.5085 | − | 15.5897i | 0.442724 | − | 0.510930i | ||||
\(932\) | 2.54660 | + | 0.747748i | 0.0834165 | + | 0.0244933i | ||||
\(933\) | 37.9882 | + | 30.6949i | 1.24368 | + | 1.00491i | ||||
\(934\) | 22.3739 | − | 3.21689i | 0.732097 | − | 0.105260i | ||||
\(935\) | 7.33318 | − | 3.34895i | 0.239821 | − | 0.109522i | ||||
\(936\) | −4.52426 | + | 2.45508i | −0.147880 | + | 0.0802467i | ||||
\(937\) | − | 20.2174i | − | 0.660474i | −0.943898 | − | 0.330237i | \(-0.892871\pi\) | ||
0.943898 | − | 0.330237i | \(-0.107129\pi\) | |||||||
\(938\) | −9.30357 | + | 0.976121i | −0.303772 | + | 0.0318715i | ||||
\(939\) | 29.1693 | − | 20.1960i | 0.951903 | − | 0.659073i | ||||
\(940\) | 16.1492 | + | 13.9934i | 0.526730 | + | 0.456415i | ||||
\(941\) | −19.5633 | − | 42.8377i | −0.637747 | − | 1.39647i | −0.901881 | − | 0.431985i | \(-0.857813\pi\) |
0.264134 | − | 0.964486i | \(-0.414914\pi\) | |||||||
\(942\) | 12.2538 | − | 11.3788i | 0.399250 | − | 0.370740i | ||||
\(943\) | −1.66145 | − | 5.65837i | −0.0541041 | − | 0.184262i | ||||
\(944\) | −2.03963 | + | 6.94634i | −0.0663843 | + | 0.226084i | ||||
\(945\) | 2.66787 | + | 1.34857i | 0.0867857 | + | 0.0438690i | ||||
\(946\) | 54.0087 | − | 84.0391i | 1.75597 | − | 2.73235i | ||||
\(947\) | −4.13409 | − | 3.58221i | −0.134340 | − | 0.116406i | 0.585099 | − | 0.810962i | \(-0.301056\pi\) |
−0.719439 | + | 0.694556i | \(0.755601\pi\) | |||||||
\(948\) | −10.2878 | − | 57.4521i | −0.334134 | − | 1.86596i | ||||
\(949\) | −1.49662 | − | 5.09702i | −0.0485823 | − | 0.165456i | ||||
\(950\) | 21.0317 | − | 13.5163i | 0.682359 | − | 0.438526i | ||||
\(951\) | 5.42699 | − | 13.0535i | 0.175982 | − | 0.423290i | ||||
\(952\) | −0.0681614 | − | 0.474073i | −0.00220912 | − | 0.0153648i | ||||
\(953\) | 43.2380 | − | 37.4659i | 1.40062 | − | 1.21364i | 0.454113 | − | 0.890944i | \(-0.349956\pi\) |
0.946503 | − | 0.322696i | \(-0.104589\pi\) | |||||||
\(954\) | −0.206471 | + | 2.78435i | −0.00668473 | + | 0.0901468i | ||||
\(955\) | 3.10163 | − | 21.5723i | 0.100367 | − | 0.698064i | ||||
\(956\) | 4.34118 | + | 30.1936i | 0.140404 | + | 0.976530i | ||||
\(957\) | 35.3154 | + | 9.06299i | 1.14159 | + | 0.292965i | ||||
\(958\) | −45.5785 | + | 20.8150i | −1.47258 | + | 0.672503i | ||||
\(959\) | −0.702482 | + | 2.39244i | −0.0226843 | + | 0.0772558i | ||||
\(960\) | −18.4252 | + | 3.29937i | −0.594671 | + | 0.106487i | ||||
\(961\) | 12.7017 | + | 27.8128i | 0.409732 | + | 0.897187i | ||||
\(962\) | 53.9940 | + | 7.76317i | 1.74084 | + | 0.250295i | ||||
\(963\) | −17.6304 | + | 3.78693i | −0.568131 | + | 0.122032i | ||||
\(964\) | −2.38412 | + | 16.5819i | −0.0767874 | + | 0.534068i | ||||
\(965\) | 19.8200 | + | 5.81968i | 0.638028 | + | 0.187342i | ||||
\(966\) | −0.112001 | − | 3.25545i | −0.00360358 | − | 0.104742i | ||||
\(967\) | −6.54750 | −0.210553 | −0.105277 | − | 0.994443i | \(-0.533573\pi\) | ||||
−0.105277 | + | 0.994443i | \(0.533573\pi\) | |||||||
\(968\) | 15.8716 | 0.510132 | ||||||||
\(969\) | 6.96317 | − | 0.239562i | 0.223689 | − | 0.00769585i | ||||
\(970\) | 31.6907 | + | 14.4727i | 1.01753 | + | 0.464689i | ||||
\(971\) | −31.7314 | + | 27.4954i | −1.01831 | + | 0.882369i | −0.993095 | − | 0.117313i | \(-0.962572\pi\) |
−0.0252128 | + | 0.999682i | \(0.508026\pi\) | |||||||
\(972\) | 29.8524 | − | 20.4386i | 0.957517 | − | 0.655568i | ||||
\(973\) | 3.86229 | − | 8.45724i | 0.123819 | − | 0.271127i | ||||
\(974\) | −27.4026 | + | 42.6392i | −0.878035 | + | 1.36625i | ||||
\(975\) | 14.3058 | − | 9.90493i | 0.458151 | − | 0.317212i | ||||
\(976\) | 24.9846i | 0.799739i | ||||||||
\(977\) | 5.82929 | − | 9.07055i | 0.186495 | − | 0.290193i | −0.735398 | − | 0.677635i | \(-0.763005\pi\) |
0.921894 | + | 0.387442i | \(0.126641\pi\) | |||||||
\(978\) | 14.3144 | + | 43.1964i | 0.457723 | + | 1.38127i | ||||
\(979\) | 6.89322 | + | 0.991095i | 0.220308 | + | 0.0316755i | ||||
\(980\) | −13.6834 | + | 8.79378i | −0.437100 | + | 0.280907i | ||||
\(981\) | −4.11098 | + | 7.48206i | −0.131254 | + | 0.238884i | ||||
\(982\) | 2.52023 | − | 1.15095i | 0.0804237 | − | 0.0367283i | ||||
\(983\) | 3.20616 | − | 7.02052i | 0.102261 | − | 0.223920i | −0.851585 | − | 0.524216i | \(-0.824358\pi\) |
0.953846 | + | 0.300296i | \(0.0970856\pi\) | |||||||
\(984\) | −1.30228 | − | 3.92989i | −0.0415152 | − | 0.125280i | ||||
\(985\) | −9.54986 | − | 20.9113i | −0.304284 | − | 0.666289i | ||||
\(986\) | −6.34445 | − | 7.32188i | −0.202048 | − | 0.233176i | ||||
\(987\) | 6.14011 | − | 5.70166i | 0.195442 | − | 0.181486i | ||||
\(988\) | −18.2011 | − | 2.61693i | −0.579055 | − | 0.0832555i | ||||
\(989\) | −12.8636 | + | 3.77709i | −0.409039 | + | 0.120105i | ||||
\(990\) | 36.0995 | − | 13.3568i | 1.14732 | − | 0.424508i | ||||
\(991\) | −24.5893 | + | 3.53540i | −0.781104 | + | 0.112306i | −0.521320 | − | 0.853361i | \(-0.674560\pi\) |
−0.259784 | + | 0.965667i | \(0.583651\pi\) | |||||||
\(992\) | −2.85216 | − | 4.43805i | −0.0905562 | − | 0.140908i | ||||
\(993\) | −6.89166 | + | 16.5765i | −0.218700 | + | 0.526040i | ||||
\(994\) | −10.9860 | + | 3.22579i | −0.348455 | + | 0.102316i | ||||
\(995\) | 2.72380 | − | 5.96428i | 0.0863502 | − | 0.189081i | ||||
\(996\) | 6.73771 | − | 61.9071i | 0.213493 | − | 1.96160i | ||||
\(997\) | −31.2555 | − | 20.0867i | −0.989872 | − | 0.636152i | −0.0577630 | − | 0.998330i | \(-0.518397\pi\) |
−0.932109 | + | 0.362178i | \(0.882033\pi\) | |||||||
\(998\) | 27.5990 | + | 23.9147i | 0.873631 | + | 0.757005i | ||||
\(999\) | −52.9645 | − | 2.09997i | −1.67572 | − | 0.0664400i |
(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 | 201.2.j.a.5.4 | ✓ | 200 | |
3.2 | odd | 2 | inner | 201.2.j.a.5.17 | yes | 200 | |
67.27 | odd | 22 | inner | 201.2.j.a.161.17 | yes | 200 | |
201.161 | even | 22 | inner | 201.2.j.a.161.4 | yes | 200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.2.j.a.5.4 | ✓ | 200 | 1.1 | even | 1 | trivial | |
201.2.j.a.5.17 | yes | 200 | 3.2 | odd | 2 | inner | |
201.2.j.a.161.4 | yes | 200 | 201.161 | even | 22 | inner | |
201.2.j.a.161.17 | yes | 200 | 67.27 | odd | 22 | inner |