Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [187,2,Mod(4,187)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(187, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([4, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("187.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 187 = 11 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 187.p (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.49320251780\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 4.10 | ||
Character | \(\chi\) | \(=\) | 187.4 |
Dual form | 187.2.p.a.47.10 |
$q$-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 \(\left(\mathbb{Z}/187\mathbb{Z}\right)^\times\).
\(n\) | \(35\) | \(122\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.201795 | − | 0.277747i | 0.142690 | − | 0.196397i | −0.731690 | − | 0.681638i | \(-0.761268\pi\) |
0.874380 | + | 0.485241i | \(0.161268\pi\) | |||||||
\(3\) | −0.935793 | − | 1.83660i | −0.540280 | − | 1.06036i | −0.986242 | − | 0.165308i | \(-0.947138\pi\) |
0.445962 | − | 0.895052i | \(-0.352862\pi\) | |||||||
\(4\) | 0.581612 | + | 1.79002i | 0.290806 | + | 0.895009i | ||||
\(5\) | 0.314547 | − | 1.98597i | 0.140670 | − | 0.888154i | −0.811892 | − | 0.583808i | \(-0.801562\pi\) |
0.952561 | − | 0.304346i | \(-0.0984380\pi\) | |||||||
\(6\) | −0.698947 | − | 0.110702i | −0.285344 | − | 0.0451940i | ||||
\(7\) | 0.501695 | − | 0.984632i | 0.189623 | − | 0.372156i | −0.776548 | − | 0.630058i | \(-0.783031\pi\) |
0.966171 | + | 0.257902i | \(0.0830311\pi\) | |||||||
\(8\) | 1.26756 | + | 0.411855i | 0.448150 | + | 0.145613i | ||||
\(9\) | −0.734024 | + | 1.01030i | −0.244675 | + | 0.336766i | ||||
\(10\) | −0.488124 | − | 0.488124i | −0.154358 | − | 0.154358i | ||||
\(11\) | −0.585679 | − | 3.26450i | −0.176589 | − | 0.984285i | ||||
\(12\) | 2.74327 | − | 2.74327i | 0.791914 | − | 0.791914i | ||||
\(13\) | −2.29323 | − | 1.66613i | −0.636026 | − | 0.462100i | 0.222456 | − | 0.974943i | \(-0.428593\pi\) |
−0.858483 | + | 0.512842i | \(0.828593\pi\) | |||||||
\(14\) | −0.172239 | − | 0.338038i | −0.0460328 | − | 0.0903444i | ||||
\(15\) | −3.94178 | + | 1.28076i | −1.01776 | + | 0.330692i | ||||
\(16\) | −2.67518 | + | 1.94363i | −0.668795 | + | 0.485908i | ||||
\(17\) | 4.06867 | + | 0.667787i | 0.986797 | + | 0.161962i | ||||
\(18\) | 0.132484 | + | 0.407745i | 0.0312269 | + | 0.0961065i | ||||
\(19\) | −3.26301 | − | 1.06022i | −0.748586 | − | 0.243230i | −0.0902134 | − | 0.995922i | \(-0.528755\pi\) |
−0.658373 | + | 0.752692i | \(0.728755\pi\) | |||||||
\(20\) | 3.73787 | − | 0.592021i | 0.835813 | − | 0.132380i | ||||
\(21\) | −2.27786 | −0.497069 | ||||||||
\(22\) | −1.02489 | − | 0.496089i | −0.218508 | − | 0.105767i | ||||
\(23\) | 6.22445 | + | 6.22445i | 1.29789 | + | 1.29789i | 0.929786 | + | 0.368101i | \(0.119992\pi\) |
0.368101 | + | 0.929786i | \(0.380008\pi\) | |||||||
\(24\) | −0.429761 | − | 2.71341i | −0.0877247 | − | 0.553872i | ||||
\(25\) | 0.910132 | + | 0.295720i | 0.182026 | + | 0.0591439i | ||||
\(26\) | −0.925522 | + | 0.300720i | −0.181510 | + | 0.0589761i | ||||
\(27\) | −3.56525 | − | 0.564680i | −0.686132 | − | 0.108673i | ||||
\(28\) | 2.05430 | + | 0.325369i | 0.388226 | + | 0.0614890i | ||||
\(29\) | 3.08761 | + | 1.57321i | 0.573354 | + | 0.292139i | 0.716527 | − | 0.697559i | \(-0.245731\pi\) |
−0.143173 | + | 0.989698i | \(0.545731\pi\) | |||||||
\(30\) | −0.439704 | + | 1.35327i | −0.0802785 | + | 0.247072i | ||||
\(31\) | −3.03403 | + | 0.480543i | −0.544928 | + | 0.0863081i | −0.422828 | − | 0.906210i | \(-0.638963\pi\) |
−0.122099 | + | 0.992518i | \(0.538963\pi\) | |||||||
\(32\) | 3.80082i | 0.671896i | ||||||||
\(33\) | −5.44750 | + | 4.13055i | −0.948288 | + | 0.719037i | ||||
\(34\) | 1.00651 | − | 0.995303i | 0.172615 | − | 0.170693i | ||||
\(35\) | −1.79765 | − | 1.30607i | −0.303858 | − | 0.220766i | ||||
\(36\) | −2.23537 | − | 0.726314i | −0.372561 | − | 0.121052i | ||||
\(37\) | 8.77289 | + | 4.47001i | 1.44225 | + | 0.734866i | 0.987774 | − | 0.155891i | \(-0.0498249\pi\) |
0.454481 | + | 0.890757i | \(0.349825\pi\) | |||||||
\(38\) | −0.952930 | + | 0.692344i | −0.154586 | + | 0.112313i | ||||
\(39\) | −0.914018 | + | 5.77088i | −0.146360 | + | 0.924080i | ||||
\(40\) | 1.21664 | − | 2.38779i | 0.192368 | − | 0.377543i | ||||
\(41\) | −0.965531 | + | 0.491963i | −0.150791 | + | 0.0768317i | −0.527758 | − | 0.849395i | \(-0.676967\pi\) |
0.376967 | + | 0.926227i | \(0.376967\pi\) | |||||||
\(42\) | −0.459659 | + | 0.632667i | −0.0709270 | + | 0.0976226i | ||||
\(43\) | 3.73630i | 0.569781i | 0.958560 | + | 0.284890i | \(0.0919572\pi\) | ||||
−0.958560 | + | 0.284890i | \(0.908043\pi\) | |||||||
\(44\) | 5.50288 | − | 2.94705i | 0.829590 | − | 0.444284i | ||||
\(45\) | 1.77554 | + | 1.77554i | 0.264681 | + | 0.264681i | ||||
\(46\) | 2.98488 | − | 0.472759i | 0.440097 | − | 0.0697045i | ||||
\(47\) | −0.0125737 | + | 0.0386980i | −0.00183407 | + | 0.00564468i | −0.951969 | − | 0.306193i | \(-0.900945\pi\) |
0.950135 | + | 0.311838i | \(0.100945\pi\) | |||||||
\(48\) | 6.07308 | + | 3.09439i | 0.876574 | + | 0.446637i | ||||
\(49\) | 3.39669 | + | 4.67515i | 0.485242 | + | 0.667878i | ||||
\(50\) | 0.265795 | − | 0.193111i | 0.0375891 | − | 0.0273101i | ||||
\(51\) | −2.58098 | − | 8.09741i | −0.361409 | − | 1.13386i | ||||
\(52\) | 1.64863 | − | 5.07395i | 0.228623 | − | 0.703631i | ||||
\(53\) | −2.68874 | + | 3.70074i | −0.369327 | + | 0.508335i | −0.952718 | − | 0.303856i | \(-0.901726\pi\) |
0.583391 | + | 0.812192i | \(0.301726\pi\) | |||||||
\(54\) | −0.876286 | + | 0.876286i | −0.119247 | + | 0.119247i | ||||
\(55\) | −6.66744 | + | 0.136302i | −0.899037 | + | 0.0183790i | ||||
\(56\) | 1.04145 | − | 1.04145i | 0.139170 | − | 0.139170i | ||||
\(57\) | 1.10631 | + | 6.98498i | 0.146535 | + | 0.925183i | ||||
\(58\) | 1.06002 | − | 0.540106i | 0.139187 | − | 0.0709194i | ||||
\(59\) | 0.428824 | − | 0.139333i | 0.0558281 | − | 0.0181396i | −0.280970 | − | 0.959717i | \(-0.590656\pi\) |
0.336798 | + | 0.941577i | \(0.390656\pi\) | |||||||
\(60\) | −4.58518 | − | 6.31095i | −0.591944 | − | 0.814741i | ||||
\(61\) | −14.9105 | − | 2.36159i | −1.90909 | − | 0.302371i | −0.914362 | − | 0.404898i | \(-0.867307\pi\) |
−0.994730 | + | 0.102527i | \(0.967307\pi\) | |||||||
\(62\) | −0.478782 | + | 0.939663i | −0.0608054 | + | 0.119337i | ||||
\(63\) | 0.626515 | + | 1.22960i | 0.0789334 | + | 0.154916i | ||||
\(64\) | −4.29470 | − | 3.12028i | −0.536837 | − | 0.390035i | ||||
\(65\) | −4.03021 | + | 4.03021i | −0.499886 | + | 0.499886i | ||||
\(66\) | 0.0479705 | + | 2.34655i | 0.00590476 | + | 0.288840i | ||||
\(67\) | −2.31789 | −0.283175 | −0.141588 | − | 0.989926i | \(-0.545221\pi\) | ||||
−0.141588 | + | 0.989926i | \(0.545221\pi\) | |||||||
\(68\) | 1.17104 | + | 7.67138i | 0.142009 | + | 0.930291i | ||||
\(69\) | 5.60701 | − | 17.2566i | 0.675004 | − | 2.07745i | ||||
\(70\) | −0.725512 | + | 0.235733i | −0.0867152 | + | 0.0281755i | ||||
\(71\) | 1.48068 | − | 9.34865i | 0.175724 | − | 1.10948i | −0.729323 | − | 0.684170i | \(-0.760165\pi\) |
0.905047 | − | 0.425311i | \(-0.139835\pi\) | |||||||
\(72\) | −1.34651 | + | 0.978300i | −0.158688 | + | 0.115294i | ||||
\(73\) | 2.70696 | + | 1.37926i | 0.316826 | + | 0.161431i | 0.605170 | − | 0.796096i | \(-0.293105\pi\) |
−0.288345 | + | 0.957527i | \(0.593105\pi\) | |||||||
\(74\) | 3.01186 | − | 1.53462i | 0.350121 | − | 0.178396i | ||||
\(75\) | −0.308577 | − | 1.94828i | −0.0356314 | − | 0.224968i | ||||
\(76\) | − | 6.45748i | − | 0.740724i | ||||||
\(77\) | −3.50817 | − | 1.06111i | −0.399793 | − | 0.120924i | ||||
\(78\) | 1.41840 | + | 1.41840i | 0.160602 | + | 0.160602i | ||||
\(79\) | −0.675651 | − | 4.26589i | −0.0760167 | − | 0.479951i | −0.996100 | − | 0.0882284i | \(-0.971879\pi\) |
0.920084 | − | 0.391722i | \(-0.128121\pi\) | |||||||
\(80\) | 3.01853 | + | 5.92420i | 0.337482 | + | 0.662346i | ||||
\(81\) | 3.45694 | + | 10.6394i | 0.384105 | + | 1.18215i | ||||
\(82\) | −0.0581982 | + | 0.367449i | −0.00642691 | + | 0.0405779i | ||||
\(83\) | −2.40062 | − | 3.30417i | −0.263502 | − | 0.362679i | 0.656681 | − | 0.754169i | \(-0.271960\pi\) |
−0.920183 | + | 0.391489i | \(0.871960\pi\) | |||||||
\(84\) | −1.32483 | − | 4.07740i | −0.144551 | − | 0.444881i | ||||
\(85\) | 2.60600 | − | 7.87022i | 0.282660 | − | 0.853645i | ||||
\(86\) | 1.03775 | + | 0.753967i | 0.111903 | + | 0.0813023i | ||||
\(87\) | − | 7.14289i | − | 0.765798i | ||||||
\(88\) | 0.602119 | − | 4.37917i | 0.0641861 | − | 0.466821i | ||||
\(89\) | 1.55689 | 0.165030 | 0.0825149 | − | 0.996590i | \(-0.473705\pi\) | ||||
0.0825149 | + | 0.996590i | \(0.473705\pi\) | |||||||
\(90\) | 0.851444 | − | 0.134855i | 0.0897501 | − | 0.0142150i | ||||
\(91\) | −2.79102 | + | 1.42210i | −0.292579 | + | 0.149076i | ||||
\(92\) | −7.52166 | + | 14.7621i | −0.784187 | + | 1.53905i | ||||
\(93\) | 3.72179 | + | 5.12260i | 0.385931 | + | 0.531189i | ||||
\(94\) | 0.00821092 | + | 0.0113014i | 0.000846892 | + | 0.00116565i | ||||
\(95\) | −3.13193 | + | 6.14677i | −0.321330 | + | 0.630645i | ||||
\(96\) | 6.98057 | − | 3.55678i | 0.712452 | − | 0.363012i | ||||
\(97\) | 8.53858 | − | 1.35238i | 0.866961 | − | 0.137313i | 0.292917 | − | 0.956138i | \(-0.405374\pi\) |
0.574044 | + | 0.818825i | \(0.305374\pi\) | |||||||
\(98\) | 1.98394 | 0.200408 | ||||||||
\(99\) | 3.72802 | + | 1.80451i | 0.374680 | + | 0.181360i | ||||
\(100\) | 1.80115i | 0.180115i | ||||||||
\(101\) | 15.2750 | + | 11.0979i | 1.51992 | + | 1.10428i | 0.961529 | + | 0.274703i | \(0.0885795\pi\) |
0.558387 | + | 0.829581i | \(0.311421\pi\) | |||||||
\(102\) | −2.76986 | − | 0.917158i | −0.274257 | − | 0.0908122i | ||||
\(103\) | 0.423375 | + | 1.30301i | 0.0417164 | + | 0.128390i | 0.969746 | − | 0.244117i | \(-0.0784982\pi\) |
−0.928029 | + | 0.372507i | \(0.878498\pi\) | |||||||
\(104\) | −2.22060 | − | 3.05639i | −0.217748 | − | 0.299704i | ||||
\(105\) | −0.716493 | + | 4.52376i | −0.0699226 | + | 0.441474i | ||||
\(106\) | 0.485293 | + | 1.49358i | 0.0471359 | + | 0.145069i | ||||
\(107\) | −7.73583 | − | 15.1824i | −0.747851 | − | 1.46774i | −0.879224 | − | 0.476408i | \(-0.841939\pi\) |
0.131373 | − | 0.991333i | \(-0.458061\pi\) | |||||||
\(108\) | −1.06280 | − | 6.71028i | −0.102268 | − | 0.645697i | ||||
\(109\) | −7.69383 | − | 7.69383i | −0.736935 | − | 0.736935i | 0.235048 | − | 0.971984i | \(-0.424475\pi\) |
−0.971984 | + | 0.235048i | \(0.924475\pi\) | |||||||
\(110\) | −1.30760 | + | 1.87936i | −0.124675 | + | 0.179190i | ||||
\(111\) | − | 20.2953i | − | 1.92634i | ||||||
\(112\) | 0.571638 | + | 3.60918i | 0.0540147 | + | 0.341036i | ||||
\(113\) | 7.97828 | − | 4.06514i | 0.750534 | − | 0.382416i | −0.0364938 | − | 0.999334i | \(-0.511619\pi\) |
0.787028 | + | 0.616918i | \(0.211619\pi\) | |||||||
\(114\) | 2.16330 | + | 1.10226i | 0.202612 | + | 0.103236i | ||||
\(115\) | 14.3195 | − | 10.4037i | 1.33530 | − | 0.970151i | ||||
\(116\) | −1.02029 | + | 6.44187i | −0.0947317 | + | 0.598113i | ||||
\(117\) | 3.36656 | − | 1.09386i | 0.311239 | − | 0.101128i | ||||
\(118\) | 0.0478350 | − | 0.147221i | 0.00440357 | − | 0.0135528i | ||||
\(119\) | 2.69876 | − | 3.67112i | 0.247395 | − | 0.336531i | ||||
\(120\) | −5.52393 | −0.504264 | ||||||||
\(121\) | −10.3140 | + | 3.82390i | −0.937633 | + | 0.347627i | ||||
\(122\) | −3.66478 | + | 3.66478i | −0.331794 | + | 0.331794i | ||||
\(123\) | 1.80707 | + | 1.31292i | 0.162938 | + | 0.118382i | ||||
\(124\) | −2.62481 | − | 5.15147i | −0.235715 | − | 0.462616i | ||||
\(125\) | 5.43783 | − | 10.6723i | 0.486374 | − | 0.954563i | ||||
\(126\) | 0.467946 | + | 0.0741154i | 0.0416879 | + | 0.00660272i | ||||
\(127\) | 5.63180 | + | 7.75150i | 0.499741 | + | 0.687835i | 0.982147 | − | 0.188113i | \(-0.0602371\pi\) |
−0.482406 | + | 0.875948i | \(0.660237\pi\) | |||||||
\(128\) | −8.96288 | + | 2.91222i | −0.792214 | + | 0.257406i | ||||
\(129\) | 6.86208 | − | 3.49641i | 0.604173 | − | 0.307841i | ||||
\(130\) | 0.306102 | + | 1.93265i | 0.0268469 | + | 0.169505i | ||||
\(131\) | −14.1290 | + | 14.1290i | −1.23446 | + | 1.23446i | −0.272221 | + | 0.962235i | \(0.587758\pi\) |
−0.962235 | + | 0.272221i | \(0.912242\pi\) | |||||||
\(132\) | −10.5621 | − | 7.34874i | −0.919312 | − | 0.639626i | ||||
\(133\) | −2.68096 | + | 2.68096i | −0.232469 | + | 0.232469i | ||||
\(134\) | −0.467738 | + | 0.643787i | −0.0404064 | + | 0.0556147i | ||||
\(135\) | −2.24288 | + | 6.90287i | −0.193036 | + | 0.594104i | ||||
\(136\) | 4.88225 | + | 2.52216i | 0.418649 | + | 0.216273i | ||||
\(137\) | 3.81103 | − | 2.76888i | 0.325598 | − | 0.236561i | −0.412962 | − | 0.910748i | \(-0.635506\pi\) |
0.738561 | + | 0.674187i | \(0.235506\pi\) | |||||||
\(138\) | −3.66150 | − | 5.03962i | −0.311687 | − | 0.429001i | ||||
\(139\) | −9.35801 | − | 4.76815i | −0.793736 | − | 0.404429i | 0.00960047 | − | 0.999954i | \(-0.496944\pi\) |
−0.803337 | + | 0.595525i | \(0.796944\pi\) | |||||||
\(140\) | 1.29235 | − | 3.97744i | 0.109223 | − | 0.336155i | ||||
\(141\) | 0.0828390 | − | 0.0131204i | 0.00697630 | − | 0.00110494i | ||||
\(142\) | −2.29776 | − | 2.29776i | −0.192824 | − | 0.192824i | ||||
\(143\) | −4.09598 | + | 8.46206i | −0.342523 | + | 0.707633i | ||||
\(144\) | − | 4.12940i | − | 0.344117i | ||||||
\(145\) | 4.09556 | − | 5.63705i | 0.340118 | − | 0.468132i | ||||
\(146\) | 0.929336 | − | 0.473521i | 0.0769124 | − | 0.0391888i | ||||
\(147\) | 5.40776 | − | 10.6133i | 0.446025 | − | 0.875372i | ||||
\(148\) | −2.89898 | + | 18.3034i | −0.238295 | + | 1.50453i | ||||
\(149\) | −8.33164 | + | 6.05329i | −0.682555 | + | 0.495905i | −0.874204 | − | 0.485558i | \(-0.838616\pi\) |
0.191649 | + | 0.981463i | \(0.438616\pi\) | |||||||
\(150\) | −0.603397 | − | 0.307446i | −0.0492671 | − | 0.0251029i | ||||
\(151\) | −14.5074 | − | 4.71375i | −1.18060 | − | 0.383600i | −0.348010 | − | 0.937491i | \(-0.613142\pi\) |
−0.832589 | + | 0.553891i | \(0.813142\pi\) | |||||||
\(152\) | −3.69940 | − | 2.68778i | −0.300061 | − | 0.218007i | ||||
\(153\) | −3.66116 | + | 3.62039i | −0.295987 | + | 0.292691i | ||||
\(154\) | −1.00265 | + | 0.760256i | −0.0807958 | + | 0.0612632i | ||||
\(155\) | 6.17665i | 0.496121i | ||||||||
\(156\) | −10.8616 | + | 1.72030i | −0.869622 | + | 0.137735i | ||||
\(157\) | −2.41402 | + | 7.42959i | −0.192660 | + | 0.592946i | 0.807336 | + | 0.590092i | \(0.200908\pi\) |
−0.999996 | + | 0.00285405i | \(0.999092\pi\) | |||||||
\(158\) | −1.32118 | − | 0.673175i | −0.105108 | − | 0.0535549i | ||||
\(159\) | 9.31287 | + | 1.47501i | 0.738558 | + | 0.116976i | ||||
\(160\) | 7.54833 | + | 1.19554i | 0.596748 | + | 0.0945155i | ||||
\(161\) | 9.25157 | − | 3.00602i | 0.729126 | − | 0.236907i | ||||
\(162\) | 3.65264 | + | 1.18682i | 0.286979 | + | 0.0932450i | ||||
\(163\) | 2.63354 | + | 16.6275i | 0.206275 | + | 1.30237i | 0.845759 | + | 0.533565i | \(0.179148\pi\) |
−0.639484 | + | 0.768804i | \(0.720852\pi\) | |||||||
\(164\) | −1.44219 | − | 1.44219i | −0.112616 | − | 0.112616i | ||||
\(165\) | 6.48968 | + | 12.1178i | 0.505221 | + | 0.943373i | ||||
\(166\) | −1.40215 | −0.108828 | ||||||||
\(167\) | 16.2545 | − | 2.57445i | 1.25781 | − | 0.199217i | 0.508281 | − | 0.861191i | \(-0.330281\pi\) |
0.749527 | + | 0.661974i | \(0.230281\pi\) | |||||||
\(168\) | −2.88732 | − | 0.938146i | −0.222761 | − | 0.0723796i | ||||
\(169\) | −1.53431 | − | 4.72213i | −0.118024 | − | 0.363241i | ||||
\(170\) | −1.66005 | − | 2.31198i | −0.127320 | − | 0.177320i | ||||
\(171\) | 3.46626 | − | 2.51839i | 0.265072 | − | 0.192586i | ||||
\(172\) | −6.68805 | + | 2.17308i | −0.509959 | + | 0.165696i | ||||
\(173\) | 4.12476 | + | 8.09531i | 0.313600 | + | 0.615475i | 0.992976 | − | 0.118316i | \(-0.0377495\pi\) |
−0.679376 | + | 0.733790i | \(0.737749\pi\) | |||||||
\(174\) | −1.98391 | − | 1.44140i | −0.150400 | − | 0.109272i | ||||
\(175\) | 0.747784 | − | 0.747784i | 0.0565271 | − | 0.0565271i | ||||
\(176\) | 7.91179 | + | 7.59479i | 0.596374 | + | 0.572479i | ||||
\(177\) | −0.657189 | − | 0.657189i | −0.0493973 | − | 0.0493973i | ||||
\(178\) | 0.314172 | − | 0.432420i | 0.0235482 | − | 0.0324113i | ||||
\(179\) | 3.98181 | + | 1.29377i | 0.297614 | + | 0.0967008i | 0.454018 | − | 0.890992i | \(-0.349990\pi\) |
−0.156404 | + | 0.987693i | \(0.549990\pi\) | |||||||
\(180\) | −2.14557 | + | 4.21092i | −0.159921 | + | 0.313863i | ||||
\(181\) | 15.7999 | + | 2.50246i | 1.17440 | + | 0.186006i | 0.712984 | − | 0.701180i | \(-0.247343\pi\) |
0.461412 | + | 0.887186i | \(0.347343\pi\) | |||||||
\(182\) | −0.168231 | + | 1.06217i | −0.0124701 | + | 0.0787332i | ||||
\(183\) | 9.61584 | + | 29.5945i | 0.710823 | + | 2.18769i | ||||
\(184\) | 5.32629 | + | 10.4534i | 0.392659 | + | 0.770637i | ||||
\(185\) | 11.6368 | − | 16.0167i | 0.855556 | − | 1.17757i | ||||
\(186\) | 2.17382 | 0.159392 | ||||||||
\(187\) | −0.202942 | − | 13.6733i | −0.0148406 | − | 0.999890i | ||||
\(188\) | −0.0765831 | −0.00558539 | ||||||||
\(189\) | −2.34467 | + | 3.22716i | −0.170550 | + | 0.234741i | ||||
\(190\) | 1.07524 | + | 2.11027i | 0.0780058 | + | 0.153095i | ||||
\(191\) | 0.0554392 | + | 0.170624i | 0.00401144 | + | 0.0123459i | 0.953042 | − | 0.302838i | \(-0.0979340\pi\) |
−0.949031 | + | 0.315183i | \(0.897934\pi\) | |||||||
\(192\) | −1.71175 | + | 10.8076i | −0.123535 | + | 0.779969i | ||||
\(193\) | −16.2237 | − | 2.56959i | −1.16781 | − | 0.184963i | −0.457735 | − | 0.889089i | \(-0.651339\pi\) |
−0.710075 | + | 0.704126i | \(0.751339\pi\) | |||||||
\(194\) | 1.34742 | − | 2.64447i | 0.0967393 | − | 0.189862i | ||||
\(195\) | 11.1733 | + | 3.63043i | 0.800138 | + | 0.259980i | ||||
\(196\) | −6.39304 | + | 8.79926i | −0.456646 | + | 0.628519i | ||||
\(197\) | −4.38000 | − | 4.38000i | −0.312062 | − | 0.312062i | 0.533646 | − | 0.845708i | \(-0.320821\pi\) |
−0.845708 | + | 0.533646i | \(0.820821\pi\) | |||||||
\(198\) | 1.25349 | − | 0.671304i | 0.0890818 | − | 0.0477075i | ||||
\(199\) | −2.03591 | + | 2.03591i | −0.144322 | + | 0.144322i | −0.775576 | − | 0.631254i | \(-0.782540\pi\) |
0.631254 | + | 0.775576i | \(0.282540\pi\) | |||||||
\(200\) | 1.03185 | + | 0.749685i | 0.0729630 | + | 0.0530107i | ||||
\(201\) | 2.16907 | + | 4.25703i | 0.152994 | + | 0.300268i | ||||
\(202\) | 6.16482 | − | 2.00307i | 0.433755 | − | 0.140936i | ||||
\(203\) | 3.09808 | − | 2.25088i | 0.217442 | − | 0.157981i | ||||
\(204\) | 12.9934 | − | 9.32954i | 0.909719 | − | 0.653199i | ||||
\(205\) | 0.673320 | + | 2.07227i | 0.0470267 | + | 0.144733i | ||||
\(206\) | 0.447343 | + | 0.145350i | 0.0311678 | + | 0.0101270i | ||||
\(207\) | −10.8574 | + | 1.71965i | −0.754644 | + | 0.119524i | ||||
\(208\) | 9.37313 | 0.649910 | ||||||||
\(209\) | −1.55000 | + | 11.2731i | −0.107216 | + | 0.779774i | ||||
\(210\) | 1.11188 | + | 1.11188i | 0.0767267 | + | 0.0767267i | ||||
\(211\) | 0.223536 | + | 1.41135i | 0.0153889 | + | 0.0971616i | 0.994187 | − | 0.107664i | \(-0.0343372\pi\) |
−0.978798 | + | 0.204826i | \(0.934337\pi\) | |||||||
\(212\) | −8.18819 | − | 2.66050i | −0.562367 | − | 0.182724i | ||||
\(213\) | −18.5553 | + | 6.02899i | −1.27139 | + | 0.413099i | ||||
\(214\) | −5.77792 | − | 0.915133i | −0.394971 | − | 0.0625572i | ||||
\(215\) | 7.42020 | + | 1.17524i | 0.506053 | + | 0.0801510i | ||||
\(216\) | −4.28660 | − | 2.18413i | −0.291666 | − | 0.148611i | ||||
\(217\) | −1.04900 | + | 3.22849i | −0.0712107 | + | 0.219164i | ||||
\(218\) | −3.68951 | + | 0.584361i | −0.249885 | + | 0.0395779i | ||||
\(219\) | − | 6.26230i | − | 0.423167i | ||||||
\(220\) | −4.12185 | − | 11.8556i | −0.277895 | − | 0.799302i | ||||
\(221\) | −8.21776 | − | 8.31030i | −0.552786 | − | 0.559011i | ||||
\(222\) | −5.63695 | − | 4.09548i | −0.378327 | − | 0.274871i | ||||
\(223\) | −17.8276 | − | 5.79255i | −1.19383 | − | 0.387898i | −0.356340 | − | 0.934356i | \(-0.615976\pi\) |
−0.837486 | + | 0.546459i | \(0.815976\pi\) | |||||||
\(224\) | 3.74241 | + | 1.90685i | 0.250050 | + | 0.127407i | ||||
\(225\) | −0.966823 | + | 0.702438i | −0.0644548 | + | 0.0468292i | ||||
\(226\) | 0.480897 | − | 3.03627i | 0.0319888 | − | 0.201969i | ||||
\(227\) | 5.05540 | − | 9.92178i | 0.335539 | − | 0.658531i | −0.660166 | − | 0.751120i | \(-0.729514\pi\) |
0.995704 | + | 0.0925884i | \(0.0295141\pi\) | |||||||
\(228\) | −11.8598 | + | 6.04286i | −0.785434 | + | 0.400198i | ||||
\(229\) | −8.88135 | + | 12.2241i | −0.586896 | + | 0.807793i | −0.994430 | − | 0.105397i | \(-0.966389\pi\) |
0.407534 | + | 0.913190i | \(0.366389\pi\) | |||||||
\(230\) | − | 6.07660i | − | 0.400679i | ||||||
\(231\) | 1.33409 | + | 7.43607i | 0.0877768 | + | 0.489257i | ||||
\(232\) | 3.26579 | + | 3.26579i | 0.214410 | + | 0.214410i | ||||
\(233\) | −19.6399 | + | 3.11065i | −1.28665 | + | 0.203786i | −0.762026 | − | 0.647547i | \(-0.775795\pi\) |
−0.524627 | + | 0.851332i | \(0.675795\pi\) | |||||||
\(234\) | 0.375538 | − | 1.15579i | 0.0245497 | − | 0.0755562i | ||||
\(235\) | 0.0728981 | + | 0.0371434i | 0.00475535 | + | 0.00242297i | ||||
\(236\) | 0.498818 | + | 0.686564i | 0.0324703 | + | 0.0446915i | ||||
\(237\) | −7.20246 | + | 5.23289i | −0.467850 | + | 0.339913i | ||||
\(238\) | −0.475046 | − | 1.49038i | −0.0307926 | − | 0.0966072i | ||||
\(239\) | 7.34542 | − | 22.6069i | 0.475136 | − | 1.46232i | −0.370638 | − | 0.928777i | \(-0.620861\pi\) |
0.845774 | − | 0.533541i | \(-0.179139\pi\) | |||||||
\(240\) | 8.05565 | − | 11.0877i | 0.519990 | − | 0.715705i | ||||
\(241\) | −11.7160 | + | 11.7160i | −0.754696 | + | 0.754696i | −0.975352 | − | 0.220656i | \(-0.929180\pi\) |
0.220656 | + | 0.975352i | \(0.429180\pi\) | |||||||
\(242\) | −1.01923 | + | 3.63631i | −0.0655184 | + | 0.233751i | ||||
\(243\) | 8.64795 | − | 8.64795i | 0.554766 | − | 0.554766i | ||||
\(244\) | −4.44483 | − | 28.0636i | −0.284551 | − | 1.79659i | ||||
\(245\) | 10.3531 | − | 5.27519i | 0.661438 | − | 0.337019i | ||||
\(246\) | 0.729317 | − | 0.236969i | 0.0464995 | − | 0.0151086i | ||||
\(247\) | 5.71637 | + | 7.86790i | 0.363724 | + | 0.500623i | ||||
\(248\) | −4.04373 | − | 0.640463i | −0.256777 | − | 0.0406695i | ||||
\(249\) | −3.82194 | + | 7.50098i | −0.242206 | + | 0.475355i | ||||
\(250\) | −1.86688 | − | 3.66396i | −0.118072 | − | 0.231729i | ||||
\(251\) | −5.79562 | − | 4.21076i | −0.365816 | − | 0.265781i | 0.389658 | − | 0.920960i | \(-0.372593\pi\) |
−0.755474 | + | 0.655179i | \(0.772593\pi\) | |||||||
\(252\) | −1.83662 | + | 1.83662i | −0.115696 | + | 0.115696i | ||||
\(253\) | 16.6742 | − | 23.9653i | 1.04830 | − | 1.50668i | ||||
\(254\) | 3.28942 | 0.206397 | ||||||||
\(255\) | −16.8931 | + | 2.57873i | −1.05789 | + | 0.161486i | ||||
\(256\) | 2.28105 | − | 7.02036i | 0.142566 | − | 0.438772i | ||||
\(257\) | 1.10558 | − | 0.359226i | 0.0689643 | − | 0.0224079i | −0.274332 | − | 0.961635i | \(-0.588457\pi\) |
0.343296 | + | 0.939227i | \(0.388457\pi\) | |||||||
\(258\) | 0.413617 | − | 2.61148i | 0.0257507 | − | 0.162583i | ||||
\(259\) | 8.80264 | − | 6.39549i | 0.546969 | − | 0.397396i | ||||
\(260\) | −9.55816 | − | 4.87013i | −0.592772 | − | 0.302033i | ||||
\(261\) | −3.85579 | + | 1.96462i | −0.238667 | + | 0.121607i | ||||
\(262\) | 1.07312 | + | 6.77544i | 0.0662978 | + | 0.418588i | ||||
\(263\) | − | 11.3845i | − | 0.701995i | −0.936376 | − | 0.350998i | \(-0.885842\pi\) | ||
0.936376 | − | 0.350998i | \(-0.114158\pi\) | |||||||
\(264\) | −8.60622 | + | 2.99214i | −0.529676 | + | 0.184154i | ||||
\(265\) | 6.50383 | + | 6.50383i | 0.399527 | + | 0.399527i | ||||
\(266\) | 0.203624 | + | 1.28563i | 0.0124850 | + | 0.0788272i | ||||
\(267\) | −1.45692 | − | 2.85937i | −0.0891623 | − | 0.174991i | ||||
\(268\) | −1.34811 | − | 4.14906i | −0.0823491 | − | 0.253444i | ||||
\(269\) | 3.04015 | − | 19.1947i | 0.185361 | − | 1.17032i | −0.703004 | − | 0.711186i | \(-0.748158\pi\) |
0.888365 | − | 0.459138i | \(-0.151842\pi\) | |||||||
\(270\) | 1.46465 | + | 2.01592i | 0.0891357 | + | 0.122685i | ||||
\(271\) | 7.50724 | + | 23.1049i | 0.456033 | + | 1.40352i | 0.869919 | + | 0.493195i | \(0.164171\pi\) |
−0.413886 | + | 0.910329i | \(0.635829\pi\) | |||||||
\(272\) | −12.1824 | + | 6.12155i | −0.738664 | + | 0.371173i | ||||
\(273\) | 5.22364 | + | 3.79519i | 0.316149 | + | 0.229696i | ||||
\(274\) | − | 1.61725i | − | 0.0977015i | ||||||
\(275\) | 0.432333 | − | 3.14432i | 0.0260706 | − | 0.189610i | ||||
\(276\) | 34.1507 | 2.05563 | ||||||||
\(277\) | 26.0806 | − | 4.13076i | 1.56703 | − | 0.248194i | 0.688270 | − | 0.725454i | \(-0.258370\pi\) |
0.878762 | + | 0.477261i | \(0.158370\pi\) | |||||||
\(278\) | −3.21274 | + | 1.63697i | −0.192687 | + | 0.0981790i | ||||
\(279\) | 1.74156 | − | 3.41800i | 0.104264 | − | 0.204630i | ||||
\(280\) | −1.74071 | − | 2.39589i | −0.104028 | − | 0.143182i | ||||
\(281\) | 0.145242 | + | 0.199908i | 0.00866440 | + | 0.0119255i | 0.813327 | − | 0.581807i | \(-0.197654\pi\) |
−0.804663 | + | 0.593732i | \(0.797654\pi\) | |||||||
\(282\) | 0.0130723 | − | 0.0256559i | 0.000778445 | − | 0.00152779i | ||||
\(283\) | −7.64336 | + | 3.89449i | −0.454351 | + | 0.231503i | −0.666162 | − | 0.745807i | \(-0.732064\pi\) |
0.211811 | + | 0.977311i | \(0.432064\pi\) | |||||||
\(284\) | 17.5954 | − | 2.78684i | 1.04410 | − | 0.165369i | ||||
\(285\) | 14.2200 | 0.842318 | ||||||||
\(286\) | 1.52376 | + | 2.84524i | 0.0901019 | + | 0.168243i | ||||
\(287\) | 1.19751i | 0.0706867i | ||||||||
\(288\) | −3.83996 | − | 2.78989i | −0.226272 | − | 0.164396i | ||||
\(289\) | 16.1081 | + | 5.43400i | 0.947537 | + | 0.319647i | ||||
\(290\) | −0.739211 | − | 2.27506i | −0.0434080 | − | 0.133596i | ||||
\(291\) | −10.4741 | − | 14.4164i | −0.614003 | − | 0.845103i | ||||
\(292\) | −0.894508 | + | 5.64770i | −0.0523471 | + | 0.330507i | ||||
\(293\) | −6.45480 | − | 19.8658i | −0.377093 | − | 1.16057i | −0.942056 | − | 0.335457i | \(-0.891109\pi\) |
0.564962 | − | 0.825117i | \(-0.308891\pi\) | |||||||
\(294\) | −1.85656 | − | 3.64370i | −0.108277 | − | 0.212505i | ||||
\(295\) | −0.141827 | − | 0.895459i | −0.00825748 | − | 0.0521356i | ||||
\(296\) | 9.27917 | + | 9.27917i | 0.539341 | + | 0.539341i | ||||
\(297\) | 0.244692 | + | 11.9695i | 0.0141985 | + | 0.694540i | ||||
\(298\) | 3.53561i | 0.204812i | ||||||||
\(299\) | −3.90335 | − | 24.6448i | −0.225737 | − | 1.42524i | ||||
\(300\) | 3.30798 | − | 1.68550i | 0.190986 | − | 0.0973123i | ||||
\(301\) | 3.67889 | + | 1.87449i | 0.212047 | + | 0.108044i | ||||
\(302\) | −4.23675 | + | 3.07818i | −0.243798 | + | 0.177130i | ||||
\(303\) | 6.08819 | − | 38.4393i | 0.349757 | − | 2.20828i | ||||
\(304\) | 10.7898 | − | 3.50582i | 0.618838 | − | 0.201073i | ||||
\(305\) | −9.38011 | + | 28.8690i | −0.537103 | + | 1.65303i | ||||
\(306\) | 0.266749 | + | 1.74745i | 0.0152490 | + | 0.0998952i | ||||
\(307\) | 18.7114 | 1.06791 | 0.533957 | − | 0.845511i | \(-0.320704\pi\) | ||||
0.533957 | + | 0.845511i | \(0.320704\pi\) | |||||||
\(308\) | −0.140992 | − | 6.89683i | −0.00803376 | − | 0.392984i | ||||
\(309\) | 1.99692 | − | 1.99692i | 0.113601 | − | 0.113601i | ||||
\(310\) | 1.71555 | + | 1.24642i | 0.0974364 | + | 0.0707917i | ||||
\(311\) | 10.0942 | + | 19.8110i | 0.572390 | + | 1.12338i | 0.977858 | + | 0.209269i | \(0.0671084\pi\) |
−0.405469 | + | 0.914109i | \(0.632892\pi\) | |||||||
\(312\) | −3.53534 | + | 6.93849i | −0.200149 | + | 0.392815i | ||||
\(313\) | −10.7119 | − | 1.69660i | −0.605473 | − | 0.0958975i | −0.153831 | − | 0.988097i | \(-0.549161\pi\) |
−0.451641 | + | 0.892200i | \(0.649161\pi\) | |||||||
\(314\) | 1.57641 | + | 2.16974i | 0.0889618 | + | 0.122445i | ||||
\(315\) | 2.63903 | − | 0.857473i | 0.148693 | − | 0.0483131i | ||||
\(316\) | 7.24306 | − | 3.69052i | 0.407454 | − | 0.207608i | ||||
\(317\) | −0.678115 | − | 4.28145i | −0.0380867 | − | 0.240470i | 0.961299 | − | 0.275506i | \(-0.0888454\pi\) |
−0.999386 | + | 0.0350359i | \(0.988845\pi\) | |||||||
\(318\) | 2.28897 | − | 2.28897i | 0.128359 | − | 0.128359i | ||||
\(319\) | 3.32742 | − | 11.0009i | 0.186300 | − | 0.615932i | ||||
\(320\) | −7.54768 | + | 7.54768i | −0.421928 | + | 0.421928i | ||||
\(321\) | −20.6449 | + | 28.4152i | −1.15228 | + | 1.58598i | ||||
\(322\) | 1.03201 | − | 3.17619i | 0.0575115 | − | 0.177002i | ||||
\(323\) | −12.5681 | − | 6.49266i | −0.699308 | − | 0.361262i | ||||
\(324\) | −17.0341 | + | 12.3760i | −0.946337 | + | 0.687554i | ||||
\(325\) | −1.59443 | − | 2.19455i | −0.0884431 | − | 0.121732i | ||||
\(326\) | 5.14968 | + | 2.62389i | 0.285214 | + | 0.145324i | ||||
\(327\) | −6.93063 | + | 21.3303i | −0.383265 | + | 1.17957i | ||||
\(328\) | −1.42649 | + | 0.225933i | −0.0787645 | + | 0.0124751i | ||||
\(329\) | 0.0317951 | + | 0.0317951i | 0.00175292 | + | 0.00175292i | ||||
\(330\) | 4.67528 | + | 0.642833i | 0.257365 | + | 0.0353868i | ||||
\(331\) | 13.6708i | 0.751415i | 0.926738 | + | 0.375707i | \(0.122600\pi\) | ||||
−0.926738 | + | 0.375707i | \(0.877400\pi\) | |||||||
\(332\) | 4.51829 | − | 6.21889i | 0.247973 | − | 0.341306i | ||||
\(333\) | −10.9555 | + | 5.58213i | −0.600360 | + | 0.305899i | ||||
\(334\) | 2.56502 | − | 5.03413i | 0.140352 | − | 0.275455i | ||||
\(335\) | −0.729086 | + | 4.60327i | −0.0398342 | + | 0.251504i | ||||
\(336\) | 6.09368 | − | 4.42731i | 0.332437 | − | 0.241530i | ||||
\(337\) | −30.3192 | − | 15.4484i | −1.65159 | − | 0.841528i | −0.996281 | − | 0.0861693i | \(-0.972537\pi\) |
−0.655311 | − | 0.755359i | \(-0.727463\pi\) | |||||||
\(338\) | −1.62117 | − | 0.526751i | −0.0881801 | − | 0.0286515i | ||||
\(339\) | −14.9320 | − | 10.8488i | −0.810997 | − | 0.589224i | ||||
\(340\) | 15.6035 | + | 0.0873648i | 0.846219 | + | 0.00473802i | ||||
\(341\) | 3.34570 | + | 9.62315i | 0.181180 | + | 0.521123i | ||||
\(342\) | − | 1.47094i | − | 0.0795393i | ||||||
\(343\) | 13.9477 | − | 2.20910i | 0.753106 | − | 0.119280i | ||||
\(344\) | −1.53882 | + | 4.73599i | −0.0829674 | + | 0.255347i | ||||
\(345\) | −32.5075 | − | 16.5634i | −1.75014 | − | 0.891743i | ||||
\(346\) | 3.08080 | + | 0.487951i | 0.165625 | + | 0.0262324i | ||||
\(347\) | 7.20902 | + | 1.14180i | 0.387001 | + | 0.0612949i | 0.346903 | − | 0.937901i | \(-0.387233\pi\) |
0.0400974 | + | 0.999196i | \(0.487233\pi\) | |||||||
\(348\) | 12.7859 | − | 4.15439i | 0.685396 | − | 0.222699i | ||||
\(349\) | 2.66339 | + | 0.865389i | 0.142568 | + | 0.0463232i | 0.379432 | − | 0.925220i | \(-0.376119\pi\) |
−0.236864 | + | 0.971543i | \(0.576119\pi\) | |||||||
\(350\) | −0.0567956 | − | 0.358593i | −0.00303585 | − | 0.0191676i | ||||
\(351\) | 7.23509 | + | 7.23509i | 0.386181 | + | 0.386181i | ||||
\(352\) | 12.4078 | − | 2.22606i | 0.661337 | − | 0.118649i | ||||
\(353\) | −34.3129 | −1.82629 | −0.913147 | − | 0.407631i | \(-0.866355\pi\) | ||||
−0.913147 | + | 0.407631i | \(0.866355\pi\) | |||||||
\(354\) | −0.315149 | + | 0.0499148i | −0.0167500 | + | 0.00265294i | ||||
\(355\) | −18.1004 | − | 5.88119i | −0.960671 | − | 0.312141i | ||||
\(356\) | 0.905504 | + | 2.78686i | 0.0479916 | + | 0.147703i | ||||
\(357\) | −9.26784 | − | 1.52112i | −0.490506 | − | 0.0805063i | ||||
\(358\) | 1.16285 | − | 0.844859i | 0.0614584 | − | 0.0446522i | ||||
\(359\) | 4.75235 | − | 1.54413i | 0.250820 | − | 0.0814962i | −0.180909 | − | 0.983500i | \(-0.557904\pi\) |
0.431728 | + | 0.902004i | \(0.357904\pi\) | |||||||
\(360\) | 1.51934 | + | 2.98186i | 0.0800760 | + | 0.157158i | ||||
\(361\) | −5.84814 | − | 4.24892i | −0.307797 | − | 0.223628i | ||||
\(362\) | 3.88338 | − | 3.88338i | 0.204106 | − | 0.204106i | ||||
\(363\) | 16.6747 | + | 15.3642i | 0.875195 | + | 0.806412i | ||||
\(364\) | −4.16887 | − | 4.16887i | −0.218508 | − | 0.218508i | ||||
\(365\) | 3.59065 | − | 4.94210i | 0.187943 | − | 0.258682i | ||||
\(366\) | 10.1602 | + | 3.30125i | 0.531082 | + | 0.172559i | ||||
\(367\) | 8.71702 | − | 17.1081i | 0.455025 | − | 0.893037i | −0.543535 | − | 0.839387i | \(-0.682914\pi\) |
0.998560 | − | 0.0536500i | \(-0.0170855\pi\) | |||||||
\(368\) | −28.7496 | − | 4.55348i | −1.49867 | − | 0.237367i | ||||
\(369\) | 0.211694 | − | 1.33659i | 0.0110204 | − | 0.0695799i | ||||
\(370\) | −2.10034 | − | 6.46418i | −0.109191 | − | 0.336056i | ||||
\(371\) | 2.29494 | + | 4.50407i | 0.119147 | + | 0.233839i | ||||
\(372\) | −7.00491 | + | 9.64142i | −0.363187 | + | 0.499885i | ||||
\(373\) | 23.1982 | 1.20116 | 0.600580 | − | 0.799565i | \(-0.294936\pi\) | ||||
0.600580 | + | 0.799565i | \(0.294936\pi\) | |||||||
\(374\) | −3.83866 | − | 2.70283i | −0.198493 | − | 0.139760i | ||||
\(375\) | −24.6895 | −1.27496 | ||||||||
\(376\) | −0.0318759 | + | 0.0438734i | −0.00164387 | + | 0.00226260i | ||||
\(377\) | −4.45941 | − | 8.75208i | −0.229671 | − | 0.450755i | ||||
\(378\) | 0.423191 | + | 1.30245i | 0.0217666 | + | 0.0669907i | ||||
\(379\) | −4.79378 | + | 30.2667i | −0.246240 | + | 1.55470i | 0.486190 | + | 0.873853i | \(0.338386\pi\) |
−0.732429 | + | 0.680843i | \(0.761614\pi\) | |||||||
\(380\) | −12.8244 | − | 2.03118i | −0.657877 | − | 0.104198i | ||||
\(381\) | 8.96619 | − | 17.5971i | 0.459352 | − | 0.901529i | ||||
\(382\) | 0.0585776 | + | 0.0190330i | 0.00299709 | + | 0.000973815i | ||||
\(383\) | −10.4191 | + | 14.3407i | −0.532393 | + | 0.732776i | −0.987493 | − | 0.157664i | \(-0.949604\pi\) |
0.455100 | + | 0.890440i | \(0.349604\pi\) | |||||||
\(384\) | 13.7360 | + | 13.7360i | 0.700961 | + | 0.700961i | ||||
\(385\) | −3.21082 | + | 6.63336i | −0.163638 | + | 0.338067i | ||||
\(386\) | −3.98756 | + | 3.98756i | −0.202961 | + | 0.202961i | ||||
\(387\) | −3.77477 | − | 2.74253i | −0.191883 | − | 0.139411i | ||||
\(388\) | 7.38692 | + | 14.4976i | 0.375014 | + | 0.736006i | ||||
\(389\) | −7.65581 | + | 2.48752i | −0.388165 | + | 0.126122i | −0.496597 | − | 0.867981i | \(-0.665417\pi\) |
0.108432 | + | 0.994104i | \(0.465417\pi\) | |||||||
\(390\) | 3.26306 | − | 2.37075i | 0.165231 | − | 0.120048i | ||||
\(391\) | 21.1686 | + | 29.4818i | 1.07054 | + | 1.49096i | ||||
\(392\) | 2.38003 | + | 7.32497i | 0.120210 | + | 0.369967i | ||||
\(393\) | 39.1711 | + | 12.7274i | 1.97592 | + | 0.642015i | ||||
\(394\) | −2.10039 | + | 0.332669i | −0.105816 | + | 0.0167596i | ||||
\(395\) | −8.68448 | −0.436963 | ||||||||
\(396\) | −1.06185 | + | 7.72274i | −0.0533599 | + | 0.388083i | ||||
\(397\) | −4.07733 | − | 4.07733i | −0.204636 | − | 0.204636i | 0.597347 | − | 0.801983i | \(-0.296221\pi\) |
−0.801983 | + | 0.597347i | \(0.796221\pi\) | |||||||
\(398\) | 0.154631 | + | 0.976302i | 0.00775095 | + | 0.0489376i | ||||
\(399\) | 7.43267 | + | 2.41502i | 0.372099 | + | 0.120902i | ||||
\(400\) | −3.00954 | + | 0.977858i | −0.150477 | + | 0.0488929i | ||||
\(401\) | −28.8806 | − | 4.57423i | −1.44223 | − | 0.228426i | −0.614216 | − | 0.789138i | \(-0.710528\pi\) |
−0.828011 | + | 0.560712i | \(0.810528\pi\) | |||||||
\(402\) | 1.62008 | + | 0.256596i | 0.0808024 | + | 0.0127978i | ||||
\(403\) | 7.75836 | + | 3.95308i | 0.386471 | + | 0.196917i | ||||
\(404\) | −10.9814 | + | 33.7971i | −0.546343 | + | 1.68147i | ||||
\(405\) | 22.2169 | − | 3.51881i | 1.10397 | − | 0.174851i | ||||
\(406\) | − | 1.31470i | − | 0.0652473i | ||||||
\(407\) | 9.45427 | − | 31.2571i | 0.468631 | − | 1.54936i | ||||
\(408\) | 0.0634201 | − | 11.3269i | 0.00313976 | − | 0.560767i | ||||
\(409\) | −1.15445 | − | 0.838760i | −0.0570841 | − | 0.0414740i | 0.558877 | − | 0.829250i | \(-0.311232\pi\) |
−0.615961 | + | 0.787776i | \(0.711232\pi\) | |||||||
\(410\) | 0.711437 | + | 0.231160i | 0.0351354 | + | 0.0114162i | ||||
\(411\) | −8.65165 | − | 4.40823i | −0.426754 | − | 0.217442i | ||||
\(412\) | −2.08618 | + | 1.51570i | −0.102779 | + | 0.0746730i | ||||
\(413\) | 0.0779467 | − | 0.492136i | 0.00383551 | − | 0.0242164i | ||||
\(414\) | −1.71335 | + | 3.36263i | −0.0842064 | + | 0.165264i | ||||
\(415\) | −7.31709 | + | 3.72824i | −0.359182 | + | 0.183012i | ||||
\(416\) | 6.33264 | − | 8.71614i | 0.310483 | − | 0.427344i | ||||
\(417\) | 21.6489i | 1.06015i | ||||||||
\(418\) | 2.81827 | + | 2.70535i | 0.137846 | + | 0.132323i | ||||
\(419\) | 5.08147 | + | 5.08147i | 0.248246 | + | 0.248246i | 0.820251 | − | 0.572004i | \(-0.193834\pi\) |
−0.572004 | + | 0.820251i | \(0.693834\pi\) | |||||||
\(420\) | −8.51433 | + | 1.34854i | −0.415457 | + | 0.0658019i | ||||
\(421\) | 6.08722 | − | 18.7345i | 0.296673 | − | 0.913066i | −0.685981 | − | 0.727619i | \(-0.740627\pi\) |
0.982654 | − | 0.185447i | \(-0.0593732\pi\) | |||||||
\(422\) | 0.437107 | + | 0.222717i | 0.0212781 | + | 0.0108417i | ||||
\(423\) | −0.0298670 | − | 0.0411084i | −0.00145218 | − | 0.00199876i | ||||
\(424\) | −4.93231 | + | 3.58353i | −0.239534 | + | 0.174032i | ||||
\(425\) | 3.50555 | + | 1.81096i | 0.170044 | + | 0.0878444i | ||||
\(426\) | −2.06983 | + | 6.37030i | −0.100284 | + | 0.308642i | ||||
\(427\) | −9.80582 | + | 13.4966i | −0.474537 | + | 0.653144i | ||||
\(428\) | 22.6776 | − | 22.6776i | 1.09616 | − | 1.09616i | ||||
\(429\) | 19.3744 | − | 0.396070i | 0.935404 | − | 0.0191224i | ||||
\(430\) | 1.82378 | − | 1.82378i | 0.0879504 | − | 0.0879504i | ||||
\(431\) | −0.770073 | − | 4.86205i | −0.0370931 | − | 0.234197i | 0.962176 | − | 0.272430i | \(-0.0878272\pi\) |
−0.999269 | + | 0.0382328i | \(0.987827\pi\) | |||||||
\(432\) | 10.6352 | − | 5.41891i | 0.511687 | − | 0.260718i | ||||
\(433\) | −10.9910 | + | 3.57118i | −0.528192 | + | 0.171620i | −0.560960 | − | 0.827843i | \(-0.689568\pi\) |
0.0327681 | + | 0.999463i | \(0.489568\pi\) | |||||||
\(434\) | 0.685020 | + | 0.942849i | 0.0328820 | + | 0.0452582i | ||||
\(435\) | −14.1856 | − | 2.24678i | −0.680147 | − | 0.107725i | ||||
\(436\) | 9.29727 | − | 18.2469i | 0.445258 | − | 0.873869i | ||||
\(437\) | −13.7112 | − | 26.9097i | −0.655895 | − | 1.28727i | ||||
\(438\) | −1.73933 | − | 1.26370i | −0.0831085 | − | 0.0603819i | ||||
\(439\) | −21.2722 | + | 21.2722i | −1.01527 | + | 1.01527i | −0.0153851 | + | 0.999882i | \(0.504897\pi\) |
−0.999882 | + | 0.0153851i | \(0.995103\pi\) | |||||||
\(440\) | −8.50751 | − | 2.57325i | −0.405580 | − | 0.122675i | ||||
\(441\) | −7.21654 | −0.343645 | ||||||||
\(442\) | −3.96646 | + | 0.605480i | −0.188665 | + | 0.0287998i | ||||
\(443\) | −11.0438 | + | 33.9893i | −0.524706 | + | 1.61488i | 0.240190 | + | 0.970726i | \(0.422790\pi\) |
−0.764896 | + | 0.644153i | \(0.777210\pi\) | |||||||
\(444\) | 36.3289 | − | 11.8040i | 1.72409 | − | 0.560192i | ||||
\(445\) | 0.489715 | − | 3.09194i | 0.0232147 | − | 0.146572i | ||||
\(446\) | −5.20638 | + | 3.78266i | −0.246529 | + | 0.179114i | ||||
\(447\) | 18.9142 | + | 9.63724i | 0.894609 | + | 0.455826i | ||||
\(448\) | −5.22696 | + | 2.66327i | −0.246951 | + | 0.125828i | ||||
\(449\) | −3.51641 | − | 22.2017i | −0.165950 | − | 1.04776i | −0.920277 | − | 0.391267i | \(-0.872037\pi\) |
0.754328 | − | 0.656498i | \(-0.227963\pi\) | |||||||
\(450\) | 0.410280i | 0.0193408i | ||||||||
\(451\) | 2.17151 | + | 2.86385i | 0.102252 | + | 0.134853i | ||||
\(452\) | 11.9169 | + | 11.9169i | 0.560525 | + | 0.560525i | ||||
\(453\) | 4.91869 | + | 31.0554i | 0.231100 | + | 1.45911i | ||||
\(454\) | −1.73559 | − | 3.40628i | −0.0814552 | − | 0.159865i | ||||
\(455\) | 1.94634 | + | 5.99021i | 0.0912457 | + | 0.280826i | ||||
\(456\) | −1.47448 | + | 9.30952i | −0.0690490 | + | 0.435958i | ||||
\(457\) | 22.0585 | + | 30.3609i | 1.03185 | + | 1.42022i | 0.903549 | + | 0.428486i | \(0.140953\pi\) |
0.128302 | + | 0.991735i | \(0.459047\pi\) | |||||||
\(458\) | 1.60300 | + | 4.93353i | 0.0749033 | + | 0.230529i | ||||
\(459\) | −14.1287 | − | 4.67832i | −0.659472 | − | 0.218365i | ||||
\(460\) | 26.9512 | + | 19.5812i | 1.25661 | + | 0.912977i | ||||
\(461\) | 12.8912i | 0.600403i | 0.953876 | + | 0.300202i | \(0.0970540\pi\) | ||||
−0.953876 | + | 0.300202i | \(0.902946\pi\) | |||||||
\(462\) | 2.33456 | + | 1.13002i | 0.108613 | + | 0.0525733i | ||||
\(463\) | −39.2557 | −1.82437 | −0.912183 | − | 0.409783i | \(-0.865605\pi\) | ||||
−0.912183 | + | 0.409783i | \(0.865605\pi\) | |||||||
\(464\) | −11.3177 | + | 1.79254i | −0.525409 | + | 0.0832166i | ||||
\(465\) | 11.3440 | − | 5.78007i | 0.526066 | − | 0.268044i | ||||
\(466\) | −3.09926 | + | 6.08263i | −0.143570 | + | 0.281773i | ||||
\(467\) | 10.6547 | + | 14.6649i | 0.493040 | + | 0.678611i | 0.980945 | − | 0.194285i | \(-0.0622388\pi\) |
−0.487905 | + | 0.872897i | \(0.662239\pi\) | |||||||
\(468\) | 3.91607 | + | 5.39000i | 0.181020 | + | 0.249153i | ||||
\(469\) | −1.16287 | + | 2.28227i | −0.0536966 | + | 0.105385i | ||||
\(470\) | 0.0250269 | − | 0.0127519i | 0.00115441 | − | 0.000588199i | ||||
\(471\) | 15.9042 | − | 2.51898i | 0.732826 | − | 0.116068i | ||||
\(472\) | 0.600944 | 0.0276607 | ||||||||
\(473\) | 12.1972 | − | 2.18827i | 0.560827 | − | 0.100617i | ||||
\(474\) | 3.05643i | 0.140386i | ||||||||
\(475\) | −2.65624 | − | 1.92987i | −0.121877 | − | 0.0885486i | ||||
\(476\) | 8.14099 | + | 2.69565i | 0.373142 | + | 0.123555i | ||||
\(477\) | −1.76524 | − | 5.43286i | −0.0808249 | − | 0.248753i | ||||
\(478\) | −4.79672 | − | 6.60212i | −0.219397 | − | 0.301974i | ||||
\(479\) | 2.68673 | − | 16.9634i | 0.122760 | − | 0.775076i | −0.847104 | − | 0.531428i | \(-0.821656\pi\) |
0.969864 | − | 0.243649i | \(-0.0783443\pi\) | |||||||
\(480\) | −4.86795 | − | 14.9820i | −0.222190 | − | 0.683832i | ||||
\(481\) | −12.6706 | − | 24.8675i | −0.577731 | − | 1.13386i | ||||
\(482\) | 0.889855 | + | 5.61832i | 0.0405318 | + | 0.255908i | ||||
\(483\) | −14.1784 | − | 14.1784i | −0.645139 | − | 0.645139i | ||||
\(484\) | −12.8436 | − | 16.2381i | −0.583799 | − | 0.738097i | ||||
\(485\) | − | 17.3828i | − | 0.789311i | ||||||
\(486\) | −0.656828 | − | 4.14705i | −0.0297943 | − | 0.188114i | ||||
\(487\) | −38.4935 | + | 19.6134i | −1.74431 | + | 0.888769i | −0.779256 | + | 0.626706i | \(0.784403\pi\) |
−0.965051 | + | 0.262063i | \(0.915597\pi\) | |||||||
\(488\) | −17.9273 | − | 9.13441i | −0.811531 | − | 0.413495i | ||||
\(489\) | 28.0736 | − | 20.3967i | 1.26953 | − | 0.922370i | ||||
\(490\) | 0.624044 | − | 3.94006i | 0.0281914 | − | 0.177994i | ||||
\(491\) | 2.12952 | − | 0.691923i | 0.0961039 | − | 0.0312261i | −0.260570 | − | 0.965455i | \(-0.583911\pi\) |
0.356674 | + | 0.934229i | \(0.383911\pi\) | |||||||
\(492\) | −1.29913 | + | 3.99830i | −0.0585692 | + | 0.180257i | ||||
\(493\) | 11.5119 | + | 8.46275i | 0.518469 | + | 0.381143i | ||||
\(494\) | 3.33882 | 0.150221 | ||||||||
\(495\) | 4.75635 | − | 6.83614i | 0.213782 | − | 0.307262i | ||||
\(496\) | 7.18258 | − | 7.18258i | 0.322507 | − | 0.322507i | ||||
\(497\) | −8.46213 | − | 6.14810i | −0.379579 | − | 0.275780i | ||||
\(498\) | 1.31212 | + | 2.57519i | 0.0587977 | + | 0.115397i | ||||
\(499\) | −6.35370 | + | 12.4698i | −0.284431 | + | 0.558226i | −0.988376 | − | 0.152027i | \(-0.951420\pi\) |
0.703946 | + | 0.710254i | \(0.251420\pi\) | |||||||
\(500\) | 22.2664 | + | 3.52665i | 0.995783 | + | 0.157717i | ||||
\(501\) | −19.9390 | − | 27.4437i | −0.890810 | − | 1.22609i | ||||
\(502\) | −2.33905 | + | 0.760004i | −0.104397 | + | 0.0339206i | ||||
\(503\) | 34.2383 | − | 17.4453i | 1.52661 | − | 0.777847i | 0.529113 | − | 0.848551i | \(-0.322525\pi\) |
0.997497 | + | 0.0707047i | \(0.0225248\pi\) | |||||||
\(504\) | 0.287726 | + | 1.81663i | 0.0128163 | + | 0.0809191i | ||||
\(505\) | 26.8449 | − | 26.8449i | 1.19458 | − | 1.19458i | ||||
\(506\) | −3.29150 | − | 9.46727i | −0.146325 | − | 0.420871i | ||||
\(507\) | −7.23685 | + | 7.23685i | −0.321400 | + | 0.321400i | ||||
\(508\) | −10.5998 | + | 14.5894i | −0.470290 | + | 0.647299i | ||||
\(509\) | −4.91800 | + | 15.1361i | −0.217987 | + | 0.670894i | 0.780942 | + | 0.624604i | \(0.214740\pi\) |
−0.998928 | + | 0.0462895i | \(0.985260\pi\) | |||||||
\(510\) | −2.69270 | + | 5.21237i | −0.119235 | + | 0.230808i | ||||
\(511\) | 2.71614 | − | 1.97339i | 0.120155 | − | 0.0872976i | ||||
\(512\) | −12.5683 | − | 17.2988i | −0.555446 | − | 0.764506i | ||||
\(513\) | 11.0348 | + | 5.62249i | 0.487197 | + | 0.248239i | ||||
\(514\) | 0.123327 | − | 0.379562i | 0.00543972 | − | 0.0167418i | ||||
\(515\) | 2.72092 | − | 0.430952i | 0.119898 | − | 0.0189900i | ||||
\(516\) | 10.2497 | + | 10.2497i | 0.451218 | + | 0.451218i | ||||
\(517\) | 0.133694 | + | 0.0183824i | 0.00587985 | + | 0.000808457i | ||||
\(518\) | − | 3.73548i | − | 0.164128i | ||||||
\(519\) | 11.0079 | − | 15.1511i | 0.483193 | − | 0.665058i | ||||
\(520\) | −6.76839 | + | 3.44867i | −0.296814 | + | 0.151234i | ||||
\(521\) | 10.5998 | − | 20.8034i | 0.464387 | − | 0.911411i | −0.533460 | − | 0.845826i | \(-0.679108\pi\) |
0.997847 | − | 0.0655858i | \(-0.0208916\pi\) | |||||||
\(522\) | −0.232411 | + | 1.46738i | −0.0101723 | + | 0.0642256i | ||||
\(523\) | 17.7417 | − | 12.8901i | 0.775788 | − | 0.563643i | −0.127924 | − | 0.991784i | \(-0.540831\pi\) |
0.903712 | + | 0.428141i | \(0.140831\pi\) | |||||||
\(524\) | −33.5087 | − | 17.0735i | −1.46384 | − | 0.745861i | ||||
\(525\) | −2.07315 | − | 0.673607i | −0.0904796 | − | 0.0293986i | ||||
\(526\) | −3.16199 | − | 2.29732i | −0.137870 | − | 0.100168i | ||||
\(527\) | −12.6654 | − | 0.0709140i | −0.551712 | − | 0.00308906i | ||||
\(528\) | 6.54477 | − | 21.6379i | 0.284825 | − | 0.941670i | ||||
\(529\) | 54.4875i | 2.36902i | ||||||||
\(530\) | 3.11886 | − | 0.493978i | 0.135474 | − | 0.0214570i | ||||
\(531\) | −0.173999 | + | 0.535513i | −0.00755090 | + | 0.0232393i | ||||
\(532\) | −6.35825 | − | 3.23969i | −0.275665 | − | 0.140458i | ||||
\(533\) | 3.03385 | + | 0.480515i | 0.131411 | + | 0.0208134i | ||||
\(534\) | −1.08818 | − | 0.172351i | −0.0470902 | − | 0.00745836i | ||||
\(535\) | −32.5852 | + | 10.5876i | −1.40878 | + | 0.457741i | ||||
\(536\) | −2.93806 | − | 0.954635i | −0.126905 | − | 0.0412340i | ||||
\(537\) | −1.35002 | − | 8.52368i | −0.0582576 | − | 0.367824i | ||||
\(538\) | −4.71779 | − | 4.71779i | −0.203398 | − | 0.203398i | ||||
\(539\) | 13.2727 | − | 13.8267i | 0.571694 | − | 0.595556i | ||||
\(540\) | −13.6607 | −0.587865 | ||||||||
\(541\) | 26.4271 | − | 4.18564i | 1.13619 | − | 0.179955i | 0.440126 | − | 0.897936i | \(-0.354934\pi\) |
0.696062 | + | 0.717981i | \(0.254934\pi\) | |||||||
\(542\) | 7.93224 | + | 2.57734i | 0.340719 | + | 0.110706i | ||||
\(543\) | −10.1894 | − | 31.3598i | −0.437270 | − | 1.34578i | ||||
\(544\) | −2.53814 | + | 15.4643i | −0.108822 | + | 0.663025i | ||||
\(545\) | −17.6998 | + | 12.8597i | −0.758177 | + | 0.550848i | ||||
\(546\) | 2.10821 | − | 0.684998i | 0.0902229 | − | 0.0293152i | ||||
\(547\) | 15.9274 | + | 31.2594i | 0.681008 | + | 1.33655i | 0.929825 | + | 0.368003i | \(0.119958\pi\) |
−0.248817 | + | 0.968551i | \(0.580042\pi\) | |||||||
\(548\) | 7.17288 | + | 5.21140i | 0.306410 | + | 0.222620i | ||||
\(549\) | 13.3306 | − | 13.3306i | 0.568934 | − | 0.568934i | ||||
\(550\) | −0.786083 | − | 0.754587i | −0.0335187 | − | 0.0321757i | ||||
\(551\) | −8.40695 | − | 8.40695i | −0.358148 | − | 0.358148i | ||||
\(552\) | 14.2144 | − | 19.5645i | 0.605006 | − | 0.832720i | ||||
\(553\) | −4.53931 | − | 1.47491i | −0.193031 | − | 0.0627196i | ||||
\(554\) | 4.11563 | − | 8.07737i | 0.174856 | − | 0.343175i | ||||
\(555\) | −40.3059 | − | 6.38382i | −1.71089 | − | 0.270978i | ||||
\(556\) | 3.09233 | − | 19.5242i | 0.131144 | − | 0.828011i | ||||
\(557\) | 4.79316 | + | 14.7518i | 0.203093 | + | 0.625055i | 0.999786 | + | 0.0206715i | \(0.00658041\pi\) |
−0.796694 | + | 0.604383i | \(0.793420\pi\) | |||||||
\(558\) | −0.597901 | − | 1.17345i | −0.0253112 | − | 0.0496759i | ||||
\(559\) | 6.22515 | − | 8.56819i | 0.263296 | − | 0.362396i | ||||
\(560\) | 7.34755 | 0.310490 | ||||||||
\(561\) | −24.9224 | + | 13.1681i | −1.05222 | + | 0.555957i | ||||
\(562\) | 0.0848329 | 0.00357846 | ||||||||
\(563\) | −22.3960 | + | 30.8255i | −0.943879 | + | 1.29914i | 0.0103135 | + | 0.999947i | \(0.496717\pi\) |
−0.954193 | + | 0.299192i | \(0.903283\pi\) | |||||||
\(564\) | 0.0716659 | + | 0.140652i | 0.00301768 | + | 0.00592253i | ||||
\(565\) | −5.56371 | − | 17.1233i | −0.234067 | − | 0.720384i | ||||
\(566\) | −0.460710 | + | 2.90881i | −0.0193651 | + | 0.122266i | ||||
\(567\) | 12.2102 | + | 1.93391i | 0.512780 | + | 0.0812164i | ||||
\(568\) | 5.72714 | − | 11.2401i | 0.240305 | − | 0.471626i | ||||
\(569\) | −23.0894 | − | 7.50219i | −0.967957 | − | 0.314508i | −0.217966 | − | 0.975956i | \(-0.569942\pi\) |
−0.749991 | + | 0.661448i | \(0.769942\pi\) | |||||||
\(570\) | 2.86952 | − | 3.94955i | 0.120191 | − | 0.165428i | ||||
\(571\) | −17.3981 | − | 17.3981i | −0.728087 | − | 0.728087i | 0.242151 | − | 0.970238i | \(-0.422147\pi\) |
−0.970238 | + | 0.242151i | \(0.922147\pi\) | |||||||
\(572\) | −17.5295 | − | 2.41024i | −0.732945 | − | 0.100777i | ||||
\(573\) | 0.261488 | − | 0.261488i | 0.0109238 | − | 0.0109238i | ||||
\(574\) | 0.332604 | + | 0.241651i | 0.0138826 | + | 0.0100863i | ||||
\(575\) | 3.82437 | + | 7.50576i | 0.159487 | + | 0.313012i | ||||
\(576\) | 6.30482 | − | 2.04856i | 0.262701 | − | 0.0853566i | ||||
\(577\) | 37.3498 | − | 27.1362i | 1.55489 | − | 1.12970i | 0.614850 | − | 0.788644i | \(-0.289217\pi\) |
0.940044 | − | 0.341053i | \(-0.110783\pi\) | |||||||
\(578\) | 4.75981 | − | 3.37742i | 0.197982 | − | 0.140482i | ||||
\(579\) | 10.4628 | + | 32.2011i | 0.434817 | + | 1.33823i | ||||
\(580\) | 12.4725 | + | 4.05255i | 0.517890 | + | 0.168273i | ||||
\(581\) | −4.45777 | + | 0.706041i | −0.184939 | + | 0.0292915i | ||||
\(582\) | −6.11772 | −0.253588 | ||||||||
\(583\) | 13.6558 | + | 6.60997i | 0.565566 | + | 0.273757i | ||||
\(584\) | 2.86317 | + | 2.86317i | 0.118479 | + | 0.118479i | ||||
\(585\) | −1.11344 | − | 7.02998i | −0.0460350 | − | 0.290654i | ||||
\(586\) | −6.82021 | − | 2.21602i | −0.281740 | − | 0.0915430i | ||||
\(587\) | 23.4592 | − | 7.62237i | 0.968266 | − | 0.314609i | 0.218150 | − | 0.975915i | \(-0.429998\pi\) |
0.750116 | + | 0.661306i | \(0.229998\pi\) | |||||||
\(588\) | 22.1433 | + | 3.50715i | 0.913172 | + | 0.144632i | ||||
\(589\) | 10.4095 | + | 1.64871i | 0.428918 | + | 0.0679339i | ||||
\(590\) | −0.277331 | − | 0.141307i | −0.0114175 | − | 0.00581752i | ||||
\(591\) | −3.94552 | + | 12.1431i | −0.162297 | + | 0.499499i | ||||
\(592\) | −32.1571 | + | 5.09319i | −1.32165 | + | 0.209329i | ||||
\(593\) | 12.1640i | 0.499517i | 0.968308 | + | 0.249758i | \(0.0803512\pi\) | ||||
−0.968308 | + | 0.249758i | \(0.919649\pi\) | |||||||
\(594\) | 3.37386 | + | 2.34742i | 0.138431 | + | 0.0963157i | ||||
\(595\) | −6.44186 | − | 6.51440i | −0.264090 | − | 0.267064i | ||||
\(596\) | −15.6813 | − | 11.3931i | −0.642330 | − | 0.466680i | ||||
\(597\) | 5.64433 | + | 1.83395i | 0.231007 | + | 0.0750587i | ||||
\(598\) | −7.63268 | − | 3.88905i | −0.312124 | − | 0.159035i | ||||
\(599\) | 4.54002 | − | 3.29852i | 0.185500 | − | 0.134774i | −0.491160 | − | 0.871070i | \(-0.663427\pi\) |
0.676660 | + | 0.736296i | \(0.263427\pi\) | |||||||
\(600\) | 0.411268 | − | 2.59665i | 0.0167900 | − | 0.106008i | ||||
\(601\) | −17.3113 | + | 33.9753i | −0.706142 | + | 1.38588i | 0.207042 | + | 0.978332i | \(0.433616\pi\) |
−0.913183 | + | 0.407549i | \(0.866384\pi\) | |||||||
\(602\) | 1.26301 | − | 0.643537i | 0.0514765 | − | 0.0262286i | ||||
\(603\) | 1.70139 | − | 2.34176i | 0.0692858 | − | 0.0953637i | ||||
\(604\) | − | 28.7101i | − | 1.16820i | ||||||
\(605\) | 4.34994 | + | 21.6861i | 0.176850 | + | 0.881663i | ||||
\(606\) | −9.44783 | − | 9.44783i | −0.383792 | − | 0.383792i | ||||
\(607\) | −14.1884 | + | 2.24723i | −0.575891 | + | 0.0912121i | −0.437584 | − | 0.899177i | \(-0.644166\pi\) |
−0.138306 | + | 0.990389i | \(0.544166\pi\) | |||||||
\(608\) | 4.02969 | − | 12.4021i | 0.163426 | − | 0.502972i | ||||
\(609\) | −7.03312 | − | 3.58355i | −0.284996 | − | 0.145213i | ||||
\(610\) | 6.12541 | + | 8.43091i | 0.248011 | + | 0.341358i | ||||
\(611\) | 0.0933101 | − | 0.0677937i | 0.00377492 | − | 0.00274264i | ||||
\(612\) | −8.60994 | − | 4.44788i | −0.348036 | − | 0.179795i | ||||
\(613\) | 3.25961 | − | 10.0321i | 0.131655 | − | 0.405191i | −0.863400 | − | 0.504520i | \(-0.831670\pi\) |
0.995055 | + | 0.0993288i | \(0.0316696\pi\) | |||||||
\(614\) | 3.77586 | − | 5.19702i | 0.152381 | − | 0.209735i | ||||
\(615\) | 3.17583 | − | 3.17583i | 0.128062 | − | 0.128062i | ||||
\(616\) | −4.00979 | − | 2.78987i | −0.161559 | − | 0.112407i | ||||
\(617\) | 14.3492 | − | 14.3492i | 0.577677 | − | 0.577677i | −0.356586 | − | 0.934263i | \(-0.616059\pi\) |
0.934263 | + | 0.356586i | \(0.116059\pi\) | |||||||
\(618\) | −0.151670 | − | 0.957606i | −0.00610106 | − | 0.0385206i | ||||
\(619\) | −21.5922 | + | 11.0018i | −0.867863 | + | 0.442198i | −0.830445 | − | 0.557101i | \(-0.811913\pi\) |
−0.0374186 | + | 0.999300i | \(0.511913\pi\) | |||||||
\(620\) | −11.0563 | + | 3.59242i | −0.444032 | + | 0.144275i | ||||
\(621\) | −18.6769 | − | 25.7065i | −0.749477 | − | 1.03157i | ||||
\(622\) | 7.53939 | + | 1.19412i | 0.302302 | + | 0.0478800i | ||||
\(623\) | 0.781083 | − | 1.53296i | 0.0312934 | − | 0.0614168i | ||||
\(624\) | −8.77131 | − | 17.2147i | −0.351133 | − | 0.689138i | ||||
\(625\) | −15.6135 | − | 11.3439i | −0.624541 | − | 0.453755i | ||||
\(626\) | −2.63283 | + | 2.63283i | −0.105229 | + | 0.105229i | ||||
\(627\) | 22.1545 | − | 7.70251i | 0.884767 | − | 0.307609i | ||||
\(628\) | −14.7031 | −0.586718 | ||||||||
\(629\) | 32.7090 | + | 24.0454i | 1.30419 | + | 0.958754i | ||||
\(630\) | 0.294382 | − | 0.906016i | 0.0117285 | − | 0.0360965i | ||||
\(631\) | 42.3520 | − | 13.7610i | 1.68601 | − | 0.547816i | 0.699944 | − | 0.714198i | \(-0.253208\pi\) |
0.986061 | + | 0.166382i | \(0.0532084\pi\) | |||||||
\(632\) | 0.900502 | − | 5.68554i | 0.0358200 | − | 0.226159i | ||||
\(633\) | 2.38290 | − | 1.73128i | 0.0947119 | − | 0.0688122i | ||||
\(634\) | −1.32600 | − | 0.675630i | −0.0526622 | − | 0.0268327i | ||||
\(635\) | 17.1657 | − | 8.74638i | 0.681202 | − | 0.347090i | ||||
\(636\) | 2.77618 | + | 17.5281i | 0.110083 | + | 0.695034i | ||||
\(637\) | − | 16.3805i | − | 0.649019i | ||||||
\(638\) | −2.38401 | − | 3.14410i | −0.0943838 | − | 0.124476i | ||||
\(639\) | 8.35806 | + | 8.35806i | 0.330640 | + | 0.330640i | ||||
\(640\) | 2.96434 | + | 18.7161i | 0.117176 | + | 0.739818i | ||||
\(641\) | −7.25189 | − | 14.2326i | −0.286432 | − | 0.562155i | 0.702294 | − | 0.711887i | \(-0.252159\pi\) |
−0.988727 | + | 0.149731i | \(0.952159\pi\) | |||||||
\(642\) | 3.72621 | + | 11.4681i | 0.147062 | + | 0.452609i | ||||
\(643\) | −3.13923 | + | 19.8203i | −0.123799 | + | 0.781637i | 0.845178 | + | 0.534485i | \(0.179495\pi\) |
−0.968977 | + | 0.247151i | \(0.920505\pi\) | |||||||
\(644\) | 10.7616 | + | 14.8121i | 0.424068 | + | 0.583680i | ||||
\(645\) | −4.78532 | − | 14.7277i | −0.188422 | − | 0.579903i | ||||
\(646\) | −4.33950 | + | 2.18057i | −0.170735 | + | 0.0857932i | ||||
\(647\) | −0.801890 | − | 0.582607i | −0.0315256 | − | 0.0229047i | 0.571911 | − | 0.820316i | \(-0.306202\pi\) |
−0.603436 | + | 0.797411i | \(0.706202\pi\) | |||||||
\(648\) | 14.9098i | 0.585712i | ||||||||
\(649\) | −0.706007 | − | 1.31829i | −0.0277132 | − | 0.0517475i | ||||
\(650\) | −0.931276 | −0.0365276 | ||||||||
\(651\) | 6.91108 | − | 1.09461i | 0.270867 | − | 0.0429010i | ||||
\(652\) | −28.2319 | + | 14.3849i | −1.10565 | + | 0.563355i | ||||
\(653\) | −3.20309 | + | 6.28641i | −0.125347 | + | 0.246006i | −0.945149 | − | 0.326640i | \(-0.894083\pi\) |
0.819802 | + | 0.572647i | \(0.194083\pi\) | |||||||
\(654\) | 4.52585 | + | 6.22930i | 0.176975 | + | 0.243585i | ||||
\(655\) | 23.6156 | + | 32.5040i | 0.922736 | + | 1.27004i | ||||
\(656\) | 1.62678 | − | 3.19273i | 0.0635149 | − | 0.124655i | ||||
\(657\) | −3.38044 | + | 1.72242i | −0.131883 | + | 0.0671980i | ||||
\(658\) | 0.0152471 | − | 0.00241490i | 0.000594392 | − | 9.41425e-5i | ||||
\(659\) | 20.9428 | 0.815817 | 0.407909 | − | 0.913023i | \(-0.366258\pi\) | ||||
0.407909 | + | 0.913023i | \(0.366258\pi\) | |||||||
\(660\) | −17.9167 | + | 18.6645i | −0.697406 | + | 0.726515i | ||||
\(661\) | − | 38.9200i | − | 1.51381i | −0.653523 | − | 0.756906i | \(-0.726710\pi\) | ||
0.653523 | − | 0.756906i | \(-0.273290\pi\) | |||||||
\(662\) | 3.79702 | + | 2.75870i | 0.147575 | + | 0.107220i | ||||
\(663\) | −7.57255 | + | 22.8694i | −0.294093 | + | 0.888175i | ||||
\(664\) | −1.68209 | − | 5.17693i | −0.0652776 | − | 0.200904i | ||||
\(665\) | 4.48103 | + | 6.16761i | 0.173767 | + | 0.239170i | ||||
\(666\) | −0.660354 | + | 4.16931i | −0.0255882 | + | 0.161558i | ||||
\(667\) | 9.42626 | + | 29.0110i | 0.364986 | + | 1.12331i | ||||
\(668\) | 14.0621 | + | 27.5984i | 0.544079 | + | 1.06781i | ||||
\(669\) | 6.04439 | + | 38.1628i | 0.233690 | + | 1.47546i | ||||
\(670\) | 1.13142 | + | 1.13142i | 0.0437105 | + | 0.0437105i | ||||
\(671\) | 1.02334 | + | 50.0585i | 0.0395058 | + | 1.93249i | ||||
\(672\) | − | 8.65772i | − | 0.333979i | ||||||
\(673\) | −3.91858 | − | 24.7409i | −0.151050 | − | 0.953693i | −0.940479 | − | 0.339851i | \(-0.889623\pi\) |
0.789429 | − | 0.613842i | \(-0.210377\pi\) | |||||||
\(674\) | −10.4090 | + | 5.30365i | −0.400940 | + | 0.204289i | ||||
\(675\) | −3.07786 | − | 1.56825i | −0.118467 | − | 0.0603618i | ||||
\(676\) | 7.56032 | − | 5.49289i | 0.290781 | − | 0.211265i | ||||
\(677\) | 7.24118 | − | 45.7190i | 0.278301 | − | 1.75713i | −0.312132 | − | 0.950039i | \(-0.601043\pi\) |
0.590433 | − | 0.807086i | \(-0.298957\pi\) | |||||||
\(678\) | −6.02642 | + | 1.95810i | −0.231443 | + | 0.0752004i | ||||
\(679\) | 2.95217 | − | 9.08584i | 0.113294 | − | 0.348683i | ||||
\(680\) | 6.54464 | − | 8.90268i | 0.250976 | − | 0.341402i | ||||
\(681\) | −22.9531 | −0.879565 | ||||||||
\(682\) | 3.34794 | + | 1.01264i | 0.128199 | + | 0.0387762i | ||||
\(683\) | 2.94657 | − | 2.94657i | 0.112747 | − | 0.112747i | −0.648482 | − | 0.761230i | \(-0.724596\pi\) |
0.761230 | + | 0.648482i | \(0.224596\pi\) | |||||||
\(684\) | 6.52397 | + | 4.73994i | 0.249450 | + | 0.181236i | ||||
\(685\) | −4.30017 | − | 8.43955i | −0.164301 | − | 0.322459i | ||||
\(686\) | 2.20101 | − | 4.31972i | 0.0840348 | − | 0.164928i | ||||
\(687\) | 30.7619 | + | 4.87221i | 1.17364 | + | 0.185886i | ||||
\(688\) | −7.26200 | − | 9.99529i | −0.276861 | − | 0.381067i | ||||
\(689\) | 12.3318 | − | 4.00684i | 0.469804 | − | 0.152649i | ||||
\(690\) | −11.1603 | + | 5.68644i | −0.424864 | + | 0.216479i | ||||
\(691\) | −5.20331 | − | 32.8524i | −0.197943 | − | 1.24977i | −0.863857 | − | 0.503737i | \(-0.831958\pi\) |
0.665914 | − | 0.746029i | \(-0.268042\pi\) | |||||||
\(692\) | −12.0917 | + | 12.0917i | −0.459658 | + | 0.459658i | ||||
\(693\) | 3.64711 | − | 2.76541i | 0.138542 | − | 0.105049i | ||||
\(694\) | 1.77187 | − | 1.77187i | 0.0672594 | − | 0.0672594i | ||||
\(695\) | −12.4129 | + | 17.0850i | −0.470850 | + | 0.648069i | ||||
\(696\) | 2.94184 | − | 9.05404i | 0.111510 | − | 0.343192i | ||||
\(697\) | −4.25695 | + | 1.35686i | −0.161244 | + | 0.0513949i | ||||
\(698\) | 0.777818 | − | 0.565118i | 0.0294408 | − | 0.0213900i | ||||
\(699\) | 24.0919 | + | 33.1597i | 0.911239 | + | 1.25421i | ||||
\(700\) | 1.77347 | + | 0.903626i | 0.0670307 | + | 0.0341539i | ||||
\(701\) | −0.845559 | + | 2.60236i | −0.0319363 | + | 0.0982899i | −0.965754 | − | 0.259459i | \(-0.916456\pi\) |
0.933818 | + | 0.357749i | \(0.116456\pi\) | |||||||
\(702\) | 3.46953 | − | 0.549519i | 0.130949 | − | 0.0207403i | ||||
\(703\) | −23.8869 | − | 23.8869i | −0.900910 | − | 0.900910i | ||||
\(704\) | −7.67085 | + | 15.8475i | −0.289106 | + | 0.597276i | ||||
\(705\) | − | 0.168643i | − | 0.00635146i | ||||||
\(706\) | −6.92417 | + | 9.53031i | −0.260595 | + | 0.358678i | ||||
\(707\) | 18.5907 | − | 9.47246i | 0.699177 | − | 0.356248i | ||||
\(708\) | 0.794151 | − | 1.55861i | 0.0298460 | − | 0.0585761i | ||||
\(709\) | 0.760709 | − | 4.80293i | 0.0285690 | − | 0.180378i | −0.969278 | − | 0.245970i | \(-0.920894\pi\) |
0.997847 | + | 0.0655921i | \(0.0208936\pi\) | |||||||
\(710\) | −5.28605 | + | 3.84054i | −0.198382 | + | 0.144133i | ||||
\(711\) | 4.80576 | + | 2.44866i | 0.180230 | + | 0.0918319i | ||||
\(712\) | 1.97345 | + | 0.641212i | 0.0739581 | + | 0.0240304i | ||||
\(713\) | −21.8763 | − | 15.8940i | −0.819273 | − | 0.595236i | ||||
\(714\) | −2.29269 | + | 2.26716i | −0.0858017 | + | 0.0848462i | ||||
\(715\) | 15.5170 | + | 10.7962i | 0.580305 | + | 0.403756i | ||||
\(716\) | 7.87998i | 0.294489i | ||||||||
\(717\) | −48.3935 | + | 7.66478i | −1.80729 | + | 0.286247i | ||||
\(718\) | 0.530122 | − | 1.63155i | 0.0197840 | − | 0.0608889i | ||||
\(719\) | −1.32687 | − | 0.676073i | −0.0494839 | − | 0.0252133i | 0.429074 | − | 0.903270i | \(-0.358840\pi\) |
−0.478557 | + | 0.878056i | \(0.658840\pi\) | |||||||
\(720\) | −8.20088 | − | 1.29889i | −0.305629 | − | 0.0484068i | ||||
\(721\) | 1.49539 | + | 0.236847i | 0.0556914 | + | 0.00882065i | ||||
\(722\) | −2.36025 | + | 0.766891i | −0.0878394 | + | 0.0285407i | ||||
\(723\) | 32.4814 | + | 10.5538i | 1.20800 | + | 0.392502i | ||||
\(724\) | 4.70996 | + | 29.7375i | 0.175044 | + | 1.10519i | ||||
\(725\) | 2.34490 | + | 2.34490i | 0.0870873 | + | 0.0870873i | ||||
\(726\) | 7.63222 | − | 1.53093i | 0.283258 | − | 0.0568180i | ||||
\(727\) | 17.4974 | 0.648942 | 0.324471 | − | 0.945896i | \(-0.394814\pi\) | ||||
0.324471 | + | 0.945896i | \(0.394814\pi\) | |||||||
\(728\) | −4.12348 | + | 0.653096i | −0.152827 | + | 0.0242053i | ||||
\(729\) | 7.94264 | + | 2.58072i | 0.294172 | + | 0.0955822i | ||||
\(730\) | −0.648079 | − | 1.99458i | −0.0239865 | − | 0.0738228i | ||||
\(731\) | −2.49505 | + | 15.2018i | −0.0922829 | + | 0.562258i | ||||
\(732\) | −47.3820 | + | 34.4250i | −1.75129 | + | 1.27239i | ||||
\(733\) | 26.7616 | − | 8.69537i | 0.988462 | − | 0.321171i | 0.230216 | − | 0.973140i | \(-0.426057\pi\) |
0.758246 | + | 0.651969i | \(0.226057\pi\) | |||||||
\(734\) | −2.99267 | − | 5.87345i | −0.110462 | − | 0.216793i | ||||
\(735\) | −19.3768 | − | 14.0781i | −0.714724 | − | 0.519277i | ||||
\(736\) | −23.6580 | + | 23.6580i | −0.872046 | + | 0.872046i | ||||
\(737\) | 1.35754 | + | 7.56676i | 0.0500056 | + | 0.278725i | ||||
\(738\) | −0.328513 | − | 0.328513i | −0.0120927 | − | 0.0120927i | ||||
\(739\) | 27.7776 | − | 38.2326i | 1.02182 | − | 1.40641i | 0.110895 | − | 0.993832i | \(-0.464628\pi\) |
0.910922 | − | 0.412578i | \(-0.135372\pi\) | |||||||
\(740\) | 35.4383 | + | 11.5146i | 1.30274 | + | 0.423285i | ||||
\(741\) | 9.10083 | − | 17.8614i | 0.334327 | − | 0.656154i | ||||
\(742\) | 1.71410 | + | 0.271486i | 0.0629264 | + | 0.00996657i | ||||
\(743\) | 0.220718 | − | 1.39356i | 0.00809735 | − | 0.0511247i | −0.983309 | − | 0.181944i | \(-0.941761\pi\) |
0.991406 | + | 0.130820i | \(0.0417609\pi\) | |||||||
\(744\) | 2.60782 | + | 8.02603i | 0.0956072 | + | 0.294249i | ||||
\(745\) | 9.40099 | + | 18.4505i | 0.344425 | + | 0.675973i | ||||
\(746\) | 4.68129 | − | 6.44324i | 0.171394 | − | 0.235904i | ||||
\(747\) | 5.10030 | 0.186610 | ||||||||
\(748\) | 24.3574 | − | 8.31582i | 0.890594 | − | 0.304056i | ||||
\(749\) | −18.8301 | −0.688039 | ||||||||
\(750\) | −4.98221 | + | 6.85742i | −0.181924 | + | 0.250398i | ||||
\(751\) | −5.92584 | − | 11.6301i | −0.216237 | − | 0.424389i | 0.757252 | − | 0.653123i | \(-0.226541\pi\) |
−0.973489 | + | 0.228734i | \(0.926541\pi\) | |||||||
\(752\) | −0.0415776 | − | 0.127963i | −0.00151618 | − | 0.00466632i | ||||
\(753\) | −2.30998 | + | 14.5846i | −0.0841802 | + | 0.531493i | ||||
\(754\) | −3.33075 | − | 0.527538i | −0.121299 | − | 0.0192118i | ||||
\(755\) | −13.9247 | + | 27.3287i | −0.506770 | + | 0.994593i | ||||
\(756\) | −7.14036 | − | 2.32004i | −0.259692 | − | 0.0843792i | ||||
\(757\) | 6.55898 | − | 9.02767i | 0.238390 | − | 0.328116i | −0.673013 | − | 0.739631i | \(-0.735000\pi\) |
0.911403 | + | 0.411515i | \(0.135000\pi\) | |||||||
\(758\) | 7.43912 | + | 7.43912i | 0.270201 | + | 0.270201i | ||||
\(759\) | −59.6181 | − | 8.19727i | −2.16400 | − | 0.297542i | ||||
\(760\) | −6.50149 | + | 6.50149i | −0.235834 | + | 0.235834i | ||||
\(761\) | −17.0738 | − | 12.4048i | −0.618924 | − | 0.449674i | 0.233622 | − | 0.972328i | \(-0.424942\pi\) |
−0.852545 | + | 0.522653i | \(0.824942\pi\) | |||||||
\(762\) | −3.07822 | − | 6.04134i | −0.111512 | − | 0.218855i | ||||
\(763\) | −11.4356 | + | 3.71564i | −0.413995 | + | 0.134515i | ||||
\(764\) | −0.273176 | + | 0.198474i | −0.00988317 | + | 0.00718054i | ||||
\(765\) | 6.03839 | + | 8.40975i | 0.218319 | + | 0.304055i | ||||
\(766\) | 1.88056 | + | 5.78776i | 0.0679473 | + | 0.209120i | ||||
\(767\) | −1.21554 | − | 0.394952i | −0.0438905 | − | 0.0142609i | ||||
\(768\) | −15.0282 | + | 2.38023i | −0.542282 | + | 0.0858890i | ||||
\(769\) | −25.6798 | −0.926038 | −0.463019 | − | 0.886348i | \(-0.653234\pi\) | ||||
−0.463019 | + | 0.886348i | \(0.653234\pi\) | |||||||
\(770\) | 1.19447 | + | 2.23037i | 0.0430456 | + | 0.0803770i | ||||
\(771\) | −1.69435 | − | 1.69435i | −0.0610205 | − | 0.0610205i | ||||
\(772\) | −4.83631 | − | 30.5353i | −0.174063 | − | 1.09899i | ||||
\(773\) | 37.2633 | + | 12.1076i | 1.34027 | + | 0.435480i | 0.889408 | − | 0.457115i | \(-0.151117\pi\) |
0.450861 | + | 0.892594i | \(0.351117\pi\) | |||||||
\(774\) | −1.52346 | + | 0.495002i | −0.0547596 | + | 0.0177925i | ||||
\(775\) | −2.90347 | − | 0.459865i | −0.104296 | − | 0.0165188i | ||||
\(776\) | 11.3801 | + | 1.80244i | 0.408523 | + | 0.0647037i | ||||
\(777\) | −19.9834 | − | 10.1820i | −0.716900 | − | 0.365279i | ||||
\(778\) | −0.854001 | + | 2.62835i | −0.0306174 | + | 0.0942308i | ||||
\(779\) | 3.67213 | − | 0.581608i | 0.131568 | − | 0.0208383i | ||||
\(780\) | 22.1119i | 0.791734i | ||||||||
\(781\) | −31.3859 | + | 0.641622i | −1.12308 | + | 0.0229590i | ||||
\(782\) | 12.4602 | + | 0.0697652i | 0.445576 | + | 0.00249480i | ||||
\(783\) | −10.1197 | − | 7.35241i | −0.361649 | − | 0.262754i | ||||
\(784\) | −18.1735 | − | 5.90494i | −0.649055 | − | 0.210891i | ||||
\(785\) | 13.9956 | + | 7.13114i | 0.499526 | + | 0.254521i | ||||
\(786\) | 11.4395 | − | 8.31130i | 0.408034 | − | 0.296454i | ||||
\(787\) | 2.67414 | − | 16.8839i | 0.0953228 | − | 0.601845i | −0.893069 | − | 0.449919i | \(-0.851453\pi\) |
0.988392 | − | 0.151925i | \(-0.0485473\pi\) | |||||||
\(788\) | 5.29281 | − | 10.3877i | 0.188549 | − | 0.370048i | ||||
\(789\) | −20.9086 | + | 10.6535i | −0.744368 | + | 0.379274i | ||||
\(790\) | −1.75248 | + | 2.41208i | −0.0623505 | + | 0.0858181i | ||||
\(791\) | − | 9.89514i | − | 0.351831i | ||||||
\(792\) | 3.98229 | + | 3.82273i | 0.141504 | + | 0.135835i | ||||
\(793\) | 30.2584 | + | 30.2584i | 1.07451 | + | 1.07451i | ||||
\(794\) | −1.95525 | + | 0.309681i | −0.0693893 | + | 0.0109902i | ||||
\(795\) | 5.85868 | − | 18.0311i | 0.207786 | − | 0.639499i | ||||
\(796\) | −4.82842 | − | 2.46020i | −0.171139 | − | 0.0871995i | ||||
\(797\) | 5.35541 | + | 7.37109i | 0.189698 | + | 0.261097i | 0.893264 | − | 0.449533i | \(-0.148410\pi\) |
−0.703565 | + | 0.710631i | \(0.748410\pi\) | |||||||
\(798\) | 2.17064 | − | 1.57706i | 0.0768397 | − | 0.0558273i | ||||
\(799\) | −0.0770003 | + | 0.149053i | −0.00272408 | + | 0.00527310i | ||||
\(800\) | −1.12398 | + | 3.45925i | −0.0397386 | + | 0.122303i | ||||
\(801\) | −1.14279 | + | 1.57292i | −0.0403786 | + | 0.0555763i | ||||
\(802\) | −7.09843 | + | 7.09843i | −0.250654 | + | 0.250654i | ||||
\(803\) | 2.91720 | − | 9.64468i | 0.102946 | − | 0.340353i | ||||
\(804\) | −6.35860 | + | 6.35860i | −0.224251 | + | 0.224251i | ||||
\(805\) | −3.05981 | − | 19.3189i | −0.107844 | − | 0.680902i | ||||
\(806\) | 2.66355 | − | 1.35715i | 0.0938196 | − | 0.0478035i | ||||
\(807\) | −38.0980 | + | 12.3788i | −1.34111 | + | 0.435754i | ||||
\(808\) | 14.7912 | + | 20.3583i | 0.520352 | + | 0.716204i | ||||
\(809\) | −18.4900 | − | 2.92853i | −0.650074 | − | 0.102962i | −0.177316 | − | 0.984154i | \(-0.556741\pi\) |
−0.472758 | + | 0.881192i | \(0.656741\pi\) | |||||||
\(810\) | 3.50591 | − | 6.88074i | 0.123185 | − | 0.241765i | ||||
\(811\) | −13.1036 | − | 25.7173i | −0.460130 | − | 0.903057i | −0.998189 | − | 0.0601494i | \(-0.980842\pi\) |
0.538059 | − | 0.842907i | \(-0.319158\pi\) | |||||||
\(812\) | 5.83100 | + | 4.23647i | 0.204628 | + | 0.148671i | ||||
\(813\) | 35.4092 | − | 35.4092i | 1.24185 | − | 1.24185i | ||||
\(814\) | −6.77374 | − | 8.93342i | −0.237420 | − | 0.313116i | ||||
\(815\) | 33.8502 | 1.18572 | ||||||||
\(816\) | 22.6430 | + | 16.6456i | 0.792663 | + | 0.582712i | ||||
\(817\) | 3.96129 | − | 12.1916i | 0.138588 | − | 0.426530i | ||||
\(818\) | −0.465926 | + | 0.151389i | −0.0162907 | + | 0.00529318i | ||||
\(819\) | 0.611936 | − | 3.86361i | 0.0213828 | − | 0.135006i | ||||
\(820\) | −3.31778 | + | 2.41051i | −0.115862 | + | 0.0841786i | ||||
\(821\) | −13.6564 | − | 6.95828i | −0.476611 | − | 0.242846i | 0.199146 | − | 0.979970i | \(-0.436183\pi\) |
−0.675757 | + | 0.737124i | \(0.736183\pi\) | |||||||
\(822\) | −2.97023 | + | 1.51341i | −0.103599 | + | 0.0527862i | ||||
\(823\) | 2.47748 | + | 15.6422i | 0.0863595 | + | 0.545253i | 0.992497 | + | 0.122269i | \(0.0390171\pi\) |
−0.906137 | + | 0.422983i | \(0.860983\pi\) | |||||||
\(824\) | 1.82602i | 0.0636123i | ||||||||
\(825\) | −6.17943 | + | 2.14841i | −0.215140 | + | 0.0747982i | ||||
\(826\) | −0.120960 | − | 0.120960i | −0.00420874 | − | 0.00420874i | ||||
\(827\) | 6.26955 | + | 39.5844i | 0.218014 | + | 1.37648i | 0.817421 | + | 0.576040i | \(0.195403\pi\) |
−0.599408 | + | 0.800444i | \(0.704597\pi\) | |||||||
\(828\) | −9.39301 | − | 18.4348i | −0.326430 | − | 0.640654i | ||||
\(829\) | 7.12527 | + | 21.9293i | 0.247471 | + | 0.761637i | 0.995220 | + | 0.0976557i | \(0.0311344\pi\) |
−0.747750 | + | 0.663981i | \(0.768866\pi\) | |||||||
\(830\) | −0.441044 | + | 2.78464i | −0.0153088 | + | 0.0966562i | ||||
\(831\) | −31.9926 | − | 44.0340i | −1.10981 | − | 1.52752i | ||||
\(832\) | 4.64993 | + | 14.3110i | 0.161207 | + | 0.496145i | ||||
\(833\) | 10.6980 | + | 21.2899i | 0.370664 | + | 0.737651i | ||||
\(834\) | 6.01291 | + | 4.36863i | 0.208210 | + | 0.151273i | ||||
\(835\) | − | 33.0907i | − | 1.14515i | ||||||
\(836\) | −21.0805 | + | 3.78201i | −0.729083 | + | 0.130804i | ||||
\(837\) | 11.0884 | 0.383272 | ||||||||
\(838\) | 2.43678 | − | 0.385948i | 0.0841771 | − | 0.0133323i | ||||
\(839\) | 25.7232 | − | 13.1066i | 0.888064 | − | 0.452491i | 0.0504327 | − | 0.998727i | \(-0.483940\pi\) |
0.837631 | + | 0.546236i | \(0.183940\pi\) | |||||||
\(840\) | −2.77133 | + | 5.43904i | −0.0956200 | + | 0.187665i | ||||
\(841\) | −9.98746 | − | 13.7466i | −0.344395 | − | 0.474019i | ||||
\(842\) | −3.97509 | − | 5.47124i | −0.136991 | − | 0.188551i | ||||
\(843\) | 0.231234 | − | 0.453823i | 0.00796414 | − | 0.0156305i | ||||
\(844\) | −2.39634 | + | 1.22099i | −0.0824853 | + | 0.0420284i | ||||
\(845\) | −9.86064 | + | 1.56177i | −0.339216 | + | 0.0537266i | ||||
\(846\) | −0.0174447 | −0.000599762 | ||||||||
\(847\) | −1.40933 | + | 12.0739i | −0.0484251 | + | 0.414864i | ||||
\(848\) | − | 15.1261i | − | 0.519431i | ||||||
\(849\) | 14.3052 | + | 10.3933i | 0.490953 | + | 0.356698i | ||||
\(850\) | 1.21039 | − | 0.608212i | 0.0415160 | − | 0.0208615i | ||||
\(851\) | 26.7831 | + | 82.4298i | 0.918111 | + | 2.82566i | ||||
\(852\) | −21.5840 | − | 29.7078i | −0.739455 | − | 1.01777i | ||||
\(853\) | −3.66673 | + | 23.1508i | −0.125547 | + | 0.792669i | 0.841907 | + | 0.539622i | \(0.181433\pi\) |
−0.967454 | + | 0.253047i | \(0.918567\pi\) | |||||||
\(854\) | 1.76986 | + | 5.44707i | 0.0605634 | + | 0.186395i | ||||
\(855\) | −3.91114 | − | 7.67605i | −0.133758 | − | 0.262515i | ||||
\(856\) | −3.55267 | − | 22.4307i | −0.121428 | − | 0.766665i | ||||
\(857\) | 15.4299 | + | 15.4299i | 0.527076 | + | 0.527076i | 0.919699 | − | 0.392624i | \(-0.128432\pi\) |
−0.392624 | + | 0.919699i | \(0.628432\pi\) | |||||||
\(858\) | 3.79964 | − | 5.46109i | 0.129718 | − | 0.186439i | ||||
\(859\) | 39.8920i | 1.36110i | 0.732703 | + | 0.680549i | \(0.238259\pi\) | ||||
−0.732703 | + | 0.680549i | \(0.761741\pi\) | |||||||
\(860\) | 2.21197 | + | 13.9658i | 0.0754275 | + | 0.476231i | ||||
\(861\) | 2.19934 | − | 1.12062i | 0.0749533 | − | 0.0381906i | ||||
\(862\) | −1.50582 | − | 0.767251i | −0.0512883 | − | 0.0261327i | ||||
\(863\) | 32.8884 | − | 23.8948i | 1.11954 | − | 0.813390i | 0.135397 | − | 0.990791i | \(-0.456769\pi\) |
0.984139 | + | 0.177401i | \(0.0567691\pi\) | |||||||
\(864\) | 2.14625 | − | 13.5509i | 0.0730168 | − | 0.461010i | ||||
\(865\) | 17.3745 | − | 5.64532i | 0.590751 | − | 0.191947i | ||||
\(866\) | −1.22603 | + | 3.77335i | −0.0416624 | + | 0.128224i | ||||
\(867\) | −5.09379 | − | 34.6692i | −0.172994 | − | 1.17743i | ||||
\(868\) | −6.38916 | −0.216862 | ||||||||
\(869\) | −13.5303 | + | 4.70411i | −0.458984 | + | 0.159576i | ||||
\(870\) | −3.48661 | + | 3.48661i | −0.118207 | + | 0.118207i | ||||
\(871\) | 5.31545 | + | 3.86190i | 0.180107 | + | 0.130855i | ||||
\(872\) | −6.58365 | − | 12.9211i | −0.222950 | − | 0.437565i | ||||
\(873\) | −4.90121 | + | 9.61917i | −0.165881 | + | 0.325560i | ||||
\(874\) | −10.2409 | − | 1.62200i | −0.346405 | − | 0.0548651i | ||||
\(875\) | −7.78020 | − | 10.7085i | −0.263019 | − | 0.362014i | ||||
\(876\) | 11.2096 | − | 3.64223i | 0.378738 | − | 0.123059i | ||||
\(877\) | 28.9025 | − | 14.7266i | 0.975968 | − | 0.497281i | 0.108135 | − | 0.994136i | \(-0.465512\pi\) |
0.867833 | + | 0.496856i | \(0.165512\pi\) | |||||||
\(878\) | 1.61566 | + | 10.2009i | 0.0545260 | + | 0.344264i | ||||
\(879\) | −30.4451 | + | 30.4451i | −1.02689 | + | 1.02689i | ||||
\(880\) | 17.5717 | − | 13.3237i | 0.592342 | − | 0.449141i | ||||
\(881\) | 17.0714 | − | 17.0714i | 0.575151 | − | 0.575151i | −0.358412 | − | 0.933563i | \(-0.616682\pi\) |
0.933563 | + | 0.358412i | \(0.116682\pi\) | |||||||
\(882\) | −1.45626 | + | 2.00437i | −0.0490348 | + | 0.0674907i | ||||
\(883\) | 5.52175 | − | 16.9942i | 0.185822 | − | 0.571900i | −0.814140 | − | 0.580669i | \(-0.802791\pi\) |
0.999962 | + | 0.00876874i | \(0.00279121\pi\) | |||||||
\(884\) | 10.0960 | − | 19.5433i | 0.339566 | − | 0.657312i | ||||
\(885\) | −1.51188 | + | 1.09844i | −0.0508212 | + | 0.0369237i | ||||
\(886\) | 7.21183 | + | 9.92624i | 0.242286 | + | 0.333478i | ||||
\(887\) | 23.6901 | + | 12.0707i | 0.795434 | + | 0.405294i | 0.803970 | − | 0.594669i | \(-0.202717\pi\) |
−0.00853583 | + | 0.999964i | \(0.502717\pi\) | |||||||
\(888\) | 8.35871 | − | 25.7255i | 0.280500 | − | 0.863290i | ||||
\(889\) | 10.4578 | − | 1.65636i | 0.350744 | − | 0.0555524i | ||||
\(890\) | −0.759954 | − | 0.759954i | −0.0254737 | − | 0.0254737i | ||||
\(891\) | 32.7076 | − | 17.5165i | 1.09575 | − | 0.586823i | ||||
\(892\) | − | 35.2808i | − | 1.18129i | ||||||
\(893\) | 0.0820564 | − | 0.112941i | 0.00274591 | − | 0.00377943i | ||||
\(894\) | 6.49349 | − | 3.30860i | 0.217175 | − | 0.110656i | ||||
\(895\) | 3.82186 | − | 7.50082i | 0.127751 | − | 0.250725i | ||||
\(896\) | −1.62917 | + | 10.2862i | −0.0544268 | + | 0.343638i | ||||
\(897\) | −41.6098 | + | 30.2313i | −1.38931 | + | 1.00939i | ||||
\(898\) | −6.87605 | − | 3.50352i | −0.229457 | − | 0.116914i | ||||
\(899\) | −10.1239 | − | 3.28945i | −0.337650 | − | 0.109709i | ||||
\(900\) | −1.81969 | − | 1.32208i | −0.0606564 | − | 0.0440694i | ||||
\(901\) | −13.4109 | + | 13.2616i | −0.446782 | + | 0.441807i | ||||
\(902\) | 1.23362 | − | 0.0252189i | 0.0410752 | − | 0.000839699i | ||||
\(903\) | − | 8.51076i | − | 0.283220i | ||||||
\(904\) | 11.7872 | − | 1.86691i | 0.392036 | − | 0.0620924i | ||||
\(905\) | 9.93962 | − | 30.5910i | 0.330404 | − | 1.01688i | ||||
\(906\) | 9.61810 | + | 4.90067i | 0.319540 | + | 0.162814i | ||||
\(907\) | −17.5441 | − | 2.77872i | −0.582544 | − | 0.0922658i | −0.141794 | − | 0.989896i | \(-0.545287\pi\) |
−0.440749 | + | 0.897630i | \(0.645287\pi\) | |||||||
\(908\) | 20.7004 | + | 3.27863i | 0.686968 | + | 0.108805i | ||||
\(909\) | −22.4244 | + | 7.28612i | −0.743769 | + | 0.241665i | ||||
\(910\) | 2.05652 | + | 0.668205i | 0.0681731 | + | 0.0221508i | ||||
\(911\) | 2.63075 | + | 16.6099i | 0.0871606 | + | 0.550311i | 0.992168 | + | 0.124914i | \(0.0398654\pi\) |
−0.905007 | + | 0.425397i | \(0.860135\pi\) | |||||||
\(912\) | −16.5358 | − | 16.5358i | −0.547556 | − | 0.547556i | ||||
\(913\) | −9.38047 | + | 9.77200i | −0.310448 | + | 0.323406i | ||||
\(914\) | 12.8839 | 0.426162 | ||||||||
\(915\) | 61.7986 | − | 9.78793i | 2.04300 | − | 0.323579i | ||||
\(916\) | −27.0469 | − | 8.78807i | −0.893655 | − | 0.290366i | ||||
\(917\) | 6.82341 | + | 21.0003i | 0.225329 | + | 0.693491i | ||||
\(918\) | −4.15049 | + | 2.98015i | −0.136987 | + | 0.0983595i | ||||
\(919\) | 22.8029 | − | 16.5673i | 0.752199 | − | 0.546504i | −0.144309 | − | 0.989533i | \(-0.546096\pi\) |
0.896508 | + | 0.443028i | \(0.146096\pi\) | |||||||
\(920\) | 22.4356 | − | 7.28977i | 0.739680 | − | 0.240337i | ||||
\(921\) | −17.5100 | − | 34.3653i | −0.576973 | − | 1.13237i | ||||
\(922\) | 3.58049 | + | 2.60138i | 0.117917 | + | 0.0856718i | ||||
\(923\) | −18.9716 | + | 18.9716i | −0.624457 | + | 0.624457i | ||||
\(924\) | −12.5348 | + | 6.71295i | −0.412363 | + | 0.220840i | ||||
\(925\) | 6.66262 | + | 6.66262i | 0.219065 | + | 0.219065i | ||||
\(926\) | −7.92159 | + | 10.9031i | −0.260320 | + | 0.358299i | ||||
\(927\) | −1.62720 | − | 0.528708i | −0.0534442 | − | 0.0173651i | ||||
\(928\) | −5.97950 | + | 11.7354i | −0.196287 | + | 0.385235i | ||||
\(929\) | −50.2653 | − | 7.96125i | −1.64915 | − | 0.261200i | −0.738464 | − | 0.674293i | \(-0.764448\pi\) |
−0.910689 | + | 0.413093i | \(0.864448\pi\) | |||||||
\(930\) | 0.683770 | − | 4.31715i | 0.0224217 | − | 0.141565i | ||||
\(931\) | −6.12678 | − | 18.8563i | −0.200797 | − | 0.617990i | ||||
\(932\) | −16.9909 | − | 33.3466i | −0.556556 | − | 1.09230i | ||||
\(933\) | 26.9387 | − | 37.0779i | 0.881934 | − | 1.21388i | ||||
\(934\) | 6.22319 | 0.203629 | ||||||||
\(935\) | −27.2186 | − | 3.89786i | −0.890144 | − | 0.127474i | ||||
\(936\) | 4.71783 | 0.154207 | ||||||||
\(937\) | 10.6757 | − | 14.6938i | 0.348758 | − | 0.480025i | −0.598216 | − | 0.801335i | \(-0.704123\pi\) |
0.946974 | + | 0.321311i | \(0.104123\pi\) | |||||||
\(938\) | 0.399231 | + | 0.783535i | 0.0130354 | + | 0.0255833i | ||||
\(939\) | 6.90815 | + | 21.2611i | 0.225439 | + | 0.693830i | ||||
\(940\) | −0.0240890 | + | 0.152092i | −0.000785696 | + | 0.00496069i | ||||
\(941\) | −47.8717 | − | 7.58213i | −1.56057 | − | 0.247170i | −0.684378 | − | 0.729128i | \(-0.739926\pi\) |
−0.876195 | + | 0.481957i | \(0.839926\pi\) | |||||||
\(942\) | 2.50974 | − | 4.92565i | 0.0817719 | − | 0.160486i | ||||
\(943\) | −9.07210 | − | 2.94770i | −0.295428 | − | 0.0959904i | ||||
\(944\) | −0.876368 | + | 1.20622i | −0.0285233 | + | 0.0392590i | ||||
\(945\) | 5.67155 | + | 5.67155i | 0.184495 | + | 0.184495i | ||||
\(946\) | 1.85354 | − | 3.82931i | 0.0602638 | − | 0.124502i | ||||
\(947\) | 28.7793 | − | 28.7793i | 0.935202 | − | 0.935202i | −0.0628225 | − | 0.998025i | \(-0.520010\pi\) |
0.998025 | + | 0.0628225i | \(0.0200102\pi\) | |||||||
\(948\) | −13.5560 | − | 9.84901i | −0.440278 | − | 0.319881i | ||||
\(949\) | −3.90964 | − | 7.67310i | −0.126912 | − | 0.249079i | ||||
\(950\) | −1.07203 | + | 0.348324i | −0.0347813 | + | 0.0113011i | ||||
\(951\) | −7.22872 | + | 5.25198i | −0.234407 | + | 0.170307i | ||||
\(952\) | 4.93280 | − | 3.54186i | 0.159873 | − | 0.114792i | ||||
\(953\) | −15.3547 | − | 47.2570i | −0.497388 | − | 1.53080i | −0.813202 | − | 0.581982i | \(-0.802277\pi\) |
0.315813 | − | 0.948821i | \(-0.397723\pi\) | |||||||
\(954\) | −1.86517 | − | 0.606032i | −0.0603873 | − | 0.0196210i | ||||
\(955\) | 0.356293 | − | 0.0564313i | 0.0115294 | − | 0.00182607i | ||||
\(956\) | 44.7389 | 1.44696 | ||||||||
\(957\) | −23.3180 | + | 4.18344i | −0.753763 | + | 0.135231i | ||||
\(958\) | −4.16935 | − | 4.16935i | −0.134706 | − | 0.134706i | ||||
\(959\) | −0.814349 | − | 5.14160i | −0.0262967 | − | 0.166031i | ||||
\(960\) | 20.9251 | + | 6.79898i | 0.675355 | + | 0.219436i | ||||
\(961\) | −20.5083 | + | 6.66356i | −0.661559 | + | 0.214954i | ||||
\(962\) | −9.46373 | − | 1.49891i | −0.305123 | − | 0.0483267i | ||||
\(963\) | 21.0170 | + | 3.32877i | 0.677265 | + | 0.107268i | ||||
\(964\) | −27.7861 | − | 14.1577i | −0.894929 | − | 0.455989i | ||||
\(965\) | −10.2063 | + | 31.4117i | −0.328551 | + | 1.01118i | ||||
\(966\) | −6.79913 | + | 1.07688i | −0.218758 | + | 0.0346479i | ||||
\(967\) | 2.73503i | 0.0879525i | 0.999033 | + | 0.0439763i | \(0.0140026\pi\) | ||||
−0.999033 | + | 0.0439763i | \(0.985997\pi\) | |||||||
\(968\) | −14.6485 | + | 0.599167i | −0.470819 | + | 0.0192579i | ||||
\(969\) | −0.163259 | + | 29.1583i | −0.00524463 | + | 0.936701i | ||||
\(970\) | −4.82801 | − | 3.50775i | −0.155018 | − | 0.112627i | ||||
\(971\) | 11.9786 | + | 3.89208i | 0.384411 | + | 0.124903i | 0.494846 | − | 0.868981i | \(-0.335224\pi\) |
−0.110435 | + | 0.993883i | \(0.535224\pi\) | |||||||
\(972\) | 20.5097 | + | 10.4502i | 0.657850 | + | 0.335191i | ||||
\(973\) | −9.38974 | + | 6.82205i | −0.301021 | + | 0.218705i | ||||
\(974\) | −2.32023 | + | 14.6493i | −0.0743448 | + | 0.469395i | ||||
\(975\) | −2.53844 | + | 4.98197i | −0.0812951 | + | 0.159551i | ||||
\(976\) | 44.4783 | − | 22.6628i | 1.42372 | − | 0.725420i | ||||
\(977\) | −21.7352 | + | 29.9159i | −0.695370 | + | 0.957095i | 0.304619 | + | 0.952474i | \(0.401471\pi\) |
−0.999989 | + | 0.00462046i | \(0.998529\pi\) | |||||||
\(978\) | − | 11.9133i | − | 0.380945i | ||||||
\(979\) | −0.911836 | − | 5.08246i | −0.0291424 | − | 0.162436i | ||||
\(980\) | 15.4642 | + | 15.4642i | 0.493985 | + | 0.493985i | ||||
\(981\) | 13.4205 | − | 2.12560i | 0.428484 | − | 0.0678652i | ||||
\(982\) | 0.237547 | − | 0.731094i | 0.00758042 | − | 0.0233301i | ||||
\(983\) | −5.00826 | − | 2.55184i | −0.159739 | − | 0.0813910i | 0.372293 | − | 0.928115i | \(-0.378572\pi\) |
−0.532032 | + | 0.846724i | \(0.678572\pi\) | |||||||
\(984\) | 1.74984 | + | 2.40845i | 0.0557830 | + | 0.0767787i | ||||
\(985\) | −10.0763 | + | 7.32084i | −0.321057 | + | 0.233261i | ||||
\(986\) | 4.67354 | − | 1.48965i | 0.148836 | − | 0.0474400i | ||||
\(987\) | 0.0286411 | − | 0.0881484i | 0.000911658 | − | 0.00280579i | ||||
\(988\) | −10.7590 | + | 14.8085i | −0.342289 | + | 0.471120i | ||||
\(989\) | −23.2564 | + | 23.2564i | −0.739511 | + | 0.739511i | ||||
\(990\) | −0.938909 | − | 2.70056i | −0.0298405 | − | 0.0858294i | ||||
\(991\) | 33.0099 | − | 33.0099i | 1.04859 | − | 1.04859i | 0.0498359 | − | 0.998757i | \(-0.484130\pi\) |
0.998757 | − | 0.0498359i | \(-0.0158698\pi\) | |||||||
\(992\) | −1.82646 | − | 11.5318i | −0.0579901 | − | 0.366135i | ||||
\(993\) | 25.1077 | − | 12.7930i | 0.796770 | − | 0.405975i | ||||
\(994\) | −3.41523 | + | 1.10968i | −0.108325 | + | 0.0351968i | ||||
\(995\) | 3.40287 | + | 4.68365i | 0.107878 | + | 0.148482i | ||||
\(996\) | −15.6498 | − | 2.47868i | −0.495882 | − | 0.0785400i | ||||
\(997\) | 6.37980 | − | 12.5211i | 0.202050 | − | 0.396546i | −0.767641 | − | 0.640880i | \(-0.778569\pi\) |
0.969691 | + | 0.244334i | \(0.0785695\pi\) | |||||||
\(998\) | 2.18131 | + | 4.28107i | 0.0690482 | + | 0.135515i | ||||
\(999\) | −28.7534 | − | 20.8906i | −0.909718 | − | 0.660949i |
(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 | 187.2.p.a.4.10 | ✓ | 128 | |
11.3 | even | 5 | inner | 187.2.p.a.157.7 | yes | 128 | |
17.13 | even | 4 | inner | 187.2.p.a.81.7 | yes | 128 | |
187.47 | even | 20 | inner | 187.2.p.a.47.10 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
187.2.p.a.4.10 | ✓ | 128 | 1.1 | even | 1 | trivial | |
187.2.p.a.47.10 | yes | 128 | 187.47 | even | 20 | inner | |
187.2.p.a.81.7 | yes | 128 | 17.13 | even | 4 | inner | |
187.2.p.a.157.7 | yes | 128 | 11.3 | even | 5 | inner |