Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [567,2,Mod(143,567)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(567, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("567.143");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 567 = 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 567.ba (of order \(18\), degree \(6\), not 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: | \(4.52751779461\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 189) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 143.20 | ||
Character | \(\chi\) | \(=\) | 567.143 |
Dual form | 567.2.ba.a.341.20 |
$q$-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 \(\left(\mathbb{Z}/567\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.44973 | − | 1.72772i | 1.02512 | − | 1.22169i | 0.0502858 | − | 0.998735i | \(-0.483987\pi\) |
0.974830 | − | 0.222950i | \(-0.0715688\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.536009 | − | 3.03986i | −0.268005 | − | 1.51993i | ||||
\(5\) | 2.61524 | − | 2.19445i | 1.16957 | − | 0.981388i | 0.169581 | − | 0.985516i | \(-0.445758\pi\) |
0.999991 | + | 0.00412812i | \(0.00131402\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.126746 | − | 2.64271i | −0.0479054 | − | 0.998852i | ||||
\(8\) | −2.12267 | − | 1.22552i | −0.750477 | − | 0.433288i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | − | 7.69979i | − | 2.43489i | ||||||
\(11\) | −1.63538 | + | 1.94897i | −0.493086 | + | 0.587637i | −0.954000 | − | 0.299808i | \(-0.903077\pi\) |
0.460913 | + | 0.887445i | \(0.347522\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.11236 | + | 5.80365i | −0.585862 | + | 1.60964i | 0.192131 | + | 0.981369i | \(0.438460\pi\) |
−0.777993 | + | 0.628273i | \(0.783762\pi\) | |||||||
\(14\) | −4.74963 | − | 3.61225i | −1.26939 | − | 0.965413i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.606533 | − | 0.220760i | 0.151633 | − | 0.0551900i | ||||
\(17\) | 2.39853 | 0.581730 | 0.290865 | − | 0.956764i | \(-0.406057\pi\) | ||||
0.290865 | + | 0.956764i | \(0.406057\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.24485i | 0.285589i | 0.989752 | + | 0.142795i | \(0.0456089\pi\) | ||||
−0.989752 | + | 0.142795i | \(0.954391\pi\) | |||||||
\(20\) | −8.07261 | − | 6.77373i | −1.80509 | − | 1.51465i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.996420 | + | 5.65098i | 0.212437 | + | 1.20479i | ||||
\(23\) | −0.769210 | + | 2.11339i | −0.160391 | + | 0.440672i | −0.993691 | − | 0.112149i | \(-0.964227\pi\) |
0.833300 | + | 0.552821i | \(0.186449\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.15565 | − | 6.55401i | 0.231130 | − | 1.31080i | ||||
\(26\) | 6.96475 | + | 12.0633i | 1.36590 | + | 2.36581i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −7.96554 | + | 1.80181i | −1.50535 | + | 0.340510i | ||||
\(29\) | −0.685884 | − | 1.88445i | −0.127366 | − | 0.349934i | 0.859577 | − | 0.511006i | \(-0.170727\pi\) |
−0.986943 | + | 0.161072i | \(0.948505\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.55132 | + | 0.273539i | −0.278625 | + | 0.0491291i | −0.311214 | − | 0.950340i | \(-0.600736\pi\) |
0.0325896 | + | 0.999469i | \(0.489625\pi\) | |||||||
\(32\) | 2.17451 | − | 5.97442i | 0.384403 | − | 1.05614i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 3.47723 | − | 4.14400i | 0.596340 | − | 0.710691i | ||||
\(35\) | −6.13078 | − | 6.63320i | −1.03629 | − | 1.12122i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.01223 | + | 8.68144i | −0.824006 | + | 1.42722i | 0.0786706 | + | 0.996901i | \(0.474932\pi\) |
−0.902677 | + | 0.430320i | \(0.858401\pi\) | |||||||
\(38\) | 2.15077 | + | 1.80471i | 0.348900 | + | 0.292762i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −8.24065 | + | 1.45305i | −1.30296 | + | 0.229747i | ||||
\(41\) | 5.39584 | + | 1.96393i | 0.842689 | + | 0.306714i | 0.727056 | − | 0.686578i | \(-0.240888\pi\) |
0.115633 | + | 0.993292i | \(0.463110\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.110284 | + | 0.625454i | −0.0168182 | + | 0.0953809i | −0.992061 | − | 0.125754i | \(-0.959865\pi\) |
0.975243 | + | 0.221135i | \(0.0709761\pi\) | |||||||
\(44\) | 6.80118 | + | 3.92666i | 1.02532 | + | 0.591967i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.53620 | + | 4.39283i | 0.373943 | + | 0.647687i | ||||
\(47\) | 2.09655 | − | 11.8901i | 0.305813 | − | 1.73435i | −0.313839 | − | 0.949476i | \(-0.601615\pi\) |
0.619653 | − | 0.784876i | \(-0.287274\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.96787 | + | 0.669906i | −0.995410 | + | 0.0957009i | ||||
\(50\) | −9.64814 | − | 11.4982i | −1.36445 | − | 1.62609i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 18.7745 | + | 3.31045i | 2.60356 | + | 0.459077i | ||||
\(53\) | −4.15350 | − | 2.39802i | −0.570527 | − | 0.329394i | 0.186833 | − | 0.982392i | \(-0.440178\pi\) |
−0.757360 | + | 0.652998i | \(0.773511\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 8.68580i | 1.17119i | ||||||||
\(56\) | −2.96967 | + | 5.76493i | −0.396838 | + | 0.770372i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.25016 | − | 1.54693i | −0.558074 | − | 0.203122i | ||||
\(59\) | −2.59194 | − | 0.943390i | −0.337442 | − | 0.122819i | 0.167741 | − | 0.985831i | \(-0.446353\pi\) |
−0.505183 | + | 0.863012i | \(0.668575\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 7.26032 | + | 1.28019i | 0.929589 | + | 0.163912i | 0.617886 | − | 0.786268i | \(-0.287989\pi\) |
0.311703 | + | 0.950179i | \(0.399100\pi\) | |||||||
\(62\) | −1.77639 | + | 3.07681i | −0.225602 | + | 0.390755i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −6.52423 | − | 11.3003i | −0.815529 | − | 1.41254i | ||||
\(65\) | 7.21149 | + | 19.8134i | 0.894476 | + | 2.45755i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.14145 | + | 5.15329i | −0.750298 | + | 0.629574i | −0.935582 | − | 0.353111i | \(-0.885124\pi\) |
0.185284 | + | 0.982685i | \(0.440680\pi\) | |||||||
\(68\) | −1.28564 | − | 7.29120i | −0.155906 | − | 0.884188i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −20.3483 | + | 0.975916i | −2.43209 | + | 0.116644i | ||||
\(71\) | −4.45847 | + | 2.57410i | −0.529123 | + | 0.305489i | −0.740659 | − | 0.671881i | \(-0.765487\pi\) |
0.211536 | + | 0.977370i | \(0.432153\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 11.6132 | − | 6.70488i | 1.35922 | − | 0.784747i | 0.369702 | − | 0.929150i | \(-0.379460\pi\) |
0.989519 | + | 0.144403i | \(0.0461263\pi\) | |||||||
\(74\) | 7.73274 | + | 21.2455i | 0.898912 | + | 2.46974i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.78418 | − | 0.667254i | 0.434076 | − | 0.0765392i | ||||
\(77\) | 5.35785 | + | 4.07482i | 0.610584 | + | 0.464369i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.740362 | + | 0.621237i | 0.0832972 | + | 0.0698946i | 0.683485 | − | 0.729964i | \(-0.260463\pi\) |
−0.600188 | + | 0.799859i | \(0.704908\pi\) | |||||||
\(80\) | 1.10178 | − | 1.90835i | 0.123183 | − | 0.213360i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 11.2156 | − | 6.47536i | 1.23856 | − | 0.715084i | ||||
\(83\) | 2.38230 | − | 0.867085i | 0.261491 | − | 0.0951749i | −0.207948 | − | 0.978140i | \(-0.566678\pi\) |
0.469439 | + | 0.882965i | \(0.344456\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 6.27275 | − | 5.26346i | 0.680375 | − | 0.570903i | ||||
\(86\) | 0.920729 | + | 1.09728i | 0.0992848 | + | 0.118323i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 5.85988 | − | 2.13282i | 0.624666 | − | 0.227360i | ||||
\(89\) | 9.95066 | 1.05477 | 0.527384 | − | 0.849627i | \(-0.323173\pi\) | ||||
0.527384 | + | 0.849627i | \(0.323173\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 15.6051 | + | 4.84676i | 1.63586 | + | 0.508079i | ||||
\(92\) | 6.83671 | + | 1.20550i | 0.712776 | + | 0.125682i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −17.5034 | − | 20.8598i | −1.80534 | − | 2.15152i | ||||
\(95\) | 2.73177 | + | 3.25560i | 0.280274 | + | 0.334017i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 7.93719 | + | 1.39954i | 0.805899 | + | 0.142102i | 0.561397 | − | 0.827547i | \(-0.310264\pi\) |
0.244503 | + | 0.969649i | \(0.421375\pi\) | |||||||
\(98\) | −8.94414 | + | 13.0097i | −0.903494 | + | 1.31418i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −20.5427 | −2.05427 | ||||||||
\(101\) | −1.74962 | + | 0.636808i | −0.174093 | + | 0.0633648i | −0.427596 | − | 0.903970i | \(-0.640639\pi\) |
0.253503 | + | 0.967335i | \(0.418417\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 8.55538 | + | 10.1959i | 0.842987 | + | 1.00463i | 0.999855 | + | 0.0170129i | \(0.00541563\pi\) |
−0.156869 | + | 0.987619i | \(0.550140\pi\) | |||||||
\(104\) | 11.5963 | − | 9.73048i | 1.13711 | − | 0.954152i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −10.1646 | + | 3.69960i | −0.987271 | + | 0.359337i | ||||
\(107\) | −8.41217 | + | 4.85677i | −0.813235 | + | 0.469521i | −0.848078 | − | 0.529871i | \(-0.822240\pi\) |
0.0348431 | + | 0.999393i | \(0.488907\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −3.57501 | + | 6.19210i | −0.342424 | + | 0.593095i | −0.984882 | − | 0.173225i | \(-0.944581\pi\) |
0.642459 | + | 0.766320i | \(0.277914\pi\) | |||||||
\(110\) | 15.0067 | + | 12.5921i | 1.43083 | + | 1.20061i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.660281 | − | 1.57491i | −0.0623907 | − | 0.148815i | ||||
\(113\) | −1.44663 | + | 0.255080i | −0.136088 | + | 0.0239959i | −0.241277 | − | 0.970456i | \(-0.577566\pi\) |
0.105189 | + | 0.994452i | \(0.466455\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.62605 | + | 7.21502i | 0.244881 | + | 0.672804i | ||||
\(116\) | −5.36083 | + | 3.09508i | −0.497740 | + | 0.287371i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −5.38754 | + | 3.11050i | −0.495963 | + | 0.286345i | ||||
\(119\) | −0.304004 | − | 6.33864i | −0.0278680 | − | 0.581062i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.786111 | + | 4.45826i | 0.0714646 | + | 0.405296i | ||||
\(122\) | 12.7373 | − | 10.6879i | 1.15319 | − | 0.967637i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.66304 | + | 4.56916i | 0.149345 | + | 0.410323i | ||||
\(125\) | −2.82525 | − | 4.89347i | −0.252698 | − | 0.437685i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.42813 | − | 7.66974i | 0.392933 | − | 0.680580i | −0.599902 | − | 0.800073i | \(-0.704794\pi\) |
0.992835 | + | 0.119494i | \(0.0381271\pi\) | |||||||
\(128\) | −16.4597 | − | 2.90229i | −1.45484 | − | 0.256528i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 44.6868 | + | 16.2647i | 3.91930 | + | 1.42651i | ||||
\(131\) | −17.7882 | − | 6.47436i | −1.55416 | − | 0.565667i | −0.584770 | − | 0.811199i | \(-0.698815\pi\) |
−0.969389 | + | 0.245532i | \(0.921037\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.28980 | − | 0.157780i | 0.285261 | − | 0.0136813i | ||||
\(134\) | 18.0816i | 1.56201i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −5.09129 | − | 2.93946i | −0.436575 | − | 0.252056i | ||||
\(137\) | −1.45083 | − | 0.255821i | −0.123953 | − | 0.0218562i | 0.111328 | − | 0.993784i | \(-0.464490\pi\) |
−0.235280 | + | 0.971928i | \(0.575601\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −8.68671 | − | 10.3524i | −0.736798 | − | 0.878081i | 0.259349 | − | 0.965784i | \(-0.416492\pi\) |
−0.996147 | + | 0.0877025i | \(0.972048\pi\) | |||||||
\(140\) | −16.8779 | + | 22.1922i | −1.42644 | + | 1.87558i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −2.01626 | + | 11.4348i | −0.169201 | + | 0.959584i | ||||
\(143\) | −7.85664 | − | 13.6081i | −0.657005 | − | 1.13797i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −5.92909 | − | 3.42316i | −0.492384 | − | 0.284278i | ||||
\(146\) | 5.25184 | − | 29.7847i | 0.434645 | − | 2.46500i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 29.0770 | + | 10.5831i | 2.39011 | + | 0.869929i | ||||
\(149\) | −15.2390 | + | 2.68704i | −1.24842 | + | 0.220131i | −0.758523 | − | 0.651647i | \(-0.774079\pi\) |
−0.489902 | + | 0.871778i | \(0.662967\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 4.29849 | + | 3.60686i | 0.349806 | + | 0.293522i | 0.800712 | − | 0.599049i | \(-0.204455\pi\) |
−0.450906 | + | 0.892571i | \(0.648899\pi\) | |||||||
\(152\) | 1.52560 | − | 2.64241i | 0.123742 | − | 0.214328i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 14.8076 | − | 3.34949i | 1.19323 | − | 0.269910i | ||||
\(155\) | −3.45680 | + | 4.11966i | −0.277657 | + | 0.330899i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.72781 | + | 10.2421i | −0.297512 | + | 0.817406i | 0.697403 | + | 0.716680i | \(0.254339\pi\) |
−0.994914 | + | 0.100727i | \(0.967883\pi\) | |||||||
\(158\) | 2.14665 | − | 0.378513i | 0.170779 | − | 0.0301129i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −7.42370 | − | 20.3964i | −0.586895 | − | 1.61248i | ||||
\(161\) | 5.68257 | + | 1.76494i | 0.447850 | + | 0.139097i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −12.6009 | − | 21.8255i | −0.986982 | − | 1.70950i | −0.632776 | − | 0.774335i | \(-0.718085\pi\) |
−0.354206 | − | 0.935168i | \(-0.615249\pi\) | |||||||
\(164\) | 3.07784 | − | 17.4553i | 0.240339 | − | 1.36303i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1.95561 | − | 5.37299i | 0.151785 | − | 0.417025i | ||||
\(167\) | 0.497967 | + | 2.82411i | 0.0385338 | + | 0.218536i | 0.997994 | − | 0.0633078i | \(-0.0201650\pi\) |
−0.959460 | + | 0.281844i | \(0.909054\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −19.2617 | − | 16.1625i | −1.48167 | − | 1.24327i | ||||
\(170\) | − | 18.4682i | − | 1.41645i | ||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.96041 | 0.149480 | ||||||||
\(173\) | 2.45179 | − | 0.892379i | 0.186406 | − | 0.0678463i | −0.247131 | − | 0.968982i | \(-0.579488\pi\) |
0.433537 | + | 0.901136i | \(0.357265\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −17.4668 | − | 2.22335i | −1.32037 | − | 0.168070i | ||||
\(176\) | −0.561658 | + | 1.54314i | −0.0423366 | + | 0.116319i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 14.4258 | − | 17.1920i | 1.08126 | − | 1.28859i | ||||
\(179\) | − | 14.1803i | − | 1.05989i | −0.848033 | − | 0.529944i | \(-0.822213\pi\) | ||
0.848033 | − | 0.529944i | \(-0.177787\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 5.86603 | + | 3.38675i | 0.436018 | + | 0.251735i | 0.701907 | − | 0.712268i | \(-0.252332\pi\) |
−0.265889 | + | 0.964004i | \(0.585665\pi\) | |||||||
\(182\) | 30.9971 | − | 19.9348i | 2.29766 | − | 1.47767i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 4.22278 | − | 3.54334i | 0.311308 | − | 0.261218i | ||||
\(185\) | 5.94278 | + | 33.7032i | 0.436922 | + | 2.47791i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.92252 | + | 4.67467i | −0.286843 | + | 0.341846i | ||||
\(188\) | −37.2681 | −2.71805 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 9.58512 | 0.695377 | ||||||||
\(191\) | 10.7635 | − | 12.8274i | 0.778819 | − | 0.928160i | −0.220061 | − | 0.975486i | \(-0.570626\pi\) |
0.998879 | + | 0.0473264i | \(0.0150701\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.99200 | + | 11.2972i | 0.143387 | + | 0.813189i | 0.968648 | + | 0.248437i | \(0.0799170\pi\) |
−0.825261 | + | 0.564752i | \(0.808972\pi\) | |||||||
\(194\) | 13.9248 | − | 11.6843i | 0.999744 | − | 0.838885i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 5.77126 | + | 20.8223i | 0.412233 | + | 1.48730i | ||||
\(197\) | 0.880153 | + | 0.508156i | 0.0627083 | + | 0.0362046i | 0.531026 | − | 0.847355i | \(-0.321807\pi\) |
−0.468318 | + | 0.883560i | \(0.655140\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 5.48134i | − | 0.388562i | −0.980946 | − | 0.194281i | \(-0.937763\pi\) | ||
0.980946 | − | 0.194281i | \(-0.0622374\pi\) | |||||||
\(200\) | −10.4851 | + | 12.4957i | −0.741412 | + | 0.883580i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.43625 | + | 3.94605i | −0.101054 | + | 0.277643i | ||||
\(203\) | −4.89313 | + | 2.05144i | −0.343431 | + | 0.143983i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 18.4212 | − | 6.70476i | 1.28659 | − | 0.468281i | ||||
\(206\) | 30.0187 | 2.09150 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 3.98643i | 0.276409i | ||||||||
\(209\) | −2.42619 | − | 2.03581i | −0.167823 | − | 0.140820i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.299276 | + | 1.69728i | 0.0206030 | + | 0.116845i | 0.993375 | − | 0.114920i | \(-0.0366611\pi\) |
−0.972772 | + | 0.231765i | \(0.925550\pi\) | |||||||
\(212\) | −5.06334 | + | 13.9114i | −0.347751 | + | 0.955439i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −3.80424 | + | 21.5749i | −0.260052 | + | 1.47483i | ||||
\(215\) | 1.08411 | + | 1.87773i | 0.0739355 | + | 0.128060i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.919508 | + | 4.06502i | 0.0624203 | + | 0.275951i | ||||
\(218\) | 5.51543 | + | 15.1535i | 0.373552 | + | 1.02633i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 26.4036 | − | 4.65567i | 1.78013 | − | 0.313885i | ||||
\(221\) | −5.06655 | + | 13.9202i | −0.340813 | + | 0.936377i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −14.0559 | + | 16.7512i | −0.941253 | + | 1.12174i | 0.0511476 | + | 0.998691i | \(0.483712\pi\) |
−0.992400 | + | 0.123050i | \(0.960732\pi\) | |||||||
\(224\) | −16.0643 | − | 4.98938i | −1.07334 | − | 0.333367i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.65652 | + | 2.86918i | −0.110190 | + | 0.190855i | ||||
\(227\) | −9.97573 | − | 8.37063i | −0.662113 | − | 0.555578i | 0.248607 | − | 0.968605i | \(-0.420027\pi\) |
−0.910719 | + | 0.413026i | \(0.864472\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.865476 | − | 0.152607i | 0.0571922 | − | 0.0100845i | −0.144979 | − | 0.989435i | \(-0.546311\pi\) |
0.202171 | + | 0.979350i | \(0.435200\pi\) | |||||||
\(230\) | 16.2726 | + | 5.92275i | 1.07299 | + | 0.390535i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.853534 | + | 4.84063i | −0.0560373 | + | 0.317803i | ||||
\(233\) | −7.00285 | − | 4.04310i | −0.458772 | − | 0.264872i | 0.252756 | − | 0.967530i | \(-0.418663\pi\) |
−0.711528 | + | 0.702658i | \(0.751996\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −20.6093 | − | 35.6963i | −1.34440 | − | 2.32857i | ||||
\(236\) | −1.47847 | + | 8.38481i | −0.0962400 | + | 0.545804i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −11.3921 | − | 8.66409i | −0.738443 | − | 0.561610i | ||||
\(239\) | 4.16515 | + | 4.96384i | 0.269421 | + | 0.321084i | 0.883744 | − | 0.467971i | \(-0.155015\pi\) |
−0.614322 | + | 0.789055i | \(0.710570\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −26.3927 | − | 4.65374i | −1.70010 | − | 0.299774i | −0.762372 | − | 0.647139i | \(-0.775965\pi\) |
−0.937730 | + | 0.347365i | \(0.887076\pi\) | |||||||
\(242\) | 8.84229 | + | 5.10510i | 0.568404 | + | 0.328168i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 22.7566i | − | 1.45684i | ||||||
\(245\) | −16.7526 | + | 17.0426i | −1.07028 | + | 1.08881i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −7.22470 | − | 2.62958i | −0.459697 | − | 0.167316i | ||||
\(248\) | 3.62816 | + | 1.32054i | 0.230388 | + | 0.0838545i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −12.5504 | − | 2.21298i | −0.793758 | − | 0.139961i | ||||
\(251\) | −10.0960 | + | 17.4868i | −0.637253 | + | 1.10376i | 0.348780 | + | 0.937205i | \(0.386596\pi\) |
−0.986033 | + | 0.166550i | \(0.946737\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.86098 | − | 4.95537i | −0.179868 | − | 0.311541i | ||||
\(254\) | −6.83160 | − | 18.7697i | −0.428653 | − | 1.17771i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.88507 | + | 7.45546i | −0.555317 | + | 0.465966i | ||||
\(257\) | 0.704449 | + | 3.99513i | 0.0439423 | + | 0.249209i | 0.998864 | − | 0.0476479i | \(-0.0151725\pi\) |
−0.954922 | + | 0.296857i | \(0.904061\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 23.5778 | + | 12.1456i | 1.46506 | + | 0.754688i | ||||
\(260\) | 56.3646 | − | 32.5421i | 3.49558 | − | 2.01818i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −36.9740 | + | 21.3469i | −2.28426 | + | 1.31882i | ||||
\(263\) | 7.38358 | + | 20.2862i | 0.455291 | + | 1.25090i | 0.928954 | + | 0.370195i | \(0.120709\pi\) |
−0.473663 | + | 0.880706i | \(0.657069\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −16.1247 | + | 2.84323i | −0.990535 | + | 0.174658i | ||||
\(266\) | 4.49672 | − | 5.91260i | 0.275712 | − | 0.362525i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 18.9571 | + | 15.9069i | 1.15799 | + | 0.971671i | ||||
\(269\) | −1.05277 | + | 1.82346i | −0.0641887 | + | 0.111178i | −0.896334 | − | 0.443380i | \(-0.853779\pi\) |
0.832145 | + | 0.554558i | \(0.187113\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 11.3643 | − | 6.56119i | 0.690333 | − | 0.398564i | −0.113404 | − | 0.993549i | \(-0.536175\pi\) |
0.803737 | + | 0.594985i | \(0.202842\pi\) | |||||||
\(272\) | 1.45479 | − | 0.529500i | 0.0882096 | − | 0.0321057i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2.54530 | + | 2.13576i | −0.153767 | + | 0.129026i | ||||
\(275\) | 10.8837 | + | 12.9706i | 0.656309 | + | 0.782159i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.05623 | − | 1.11238i | 0.183631 | − | 0.0668363i | −0.248568 | − | 0.968614i | \(-0.579960\pi\) |
0.432199 | + | 0.901778i | \(0.357738\pi\) | |||||||
\(278\) | −30.4795 | −1.82804 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 4.88446 | + | 21.5935i | 0.291902 | + | 1.29046i | ||||
\(281\) | −15.2603 | − | 2.69080i | −0.910351 | − | 0.160519i | −0.301188 | − | 0.953565i | \(-0.597383\pi\) |
−0.609163 | + | 0.793045i | \(0.708494\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 4.55485 | + | 5.42826i | 0.270758 | + | 0.322677i | 0.884241 | − | 0.467031i | \(-0.154676\pi\) |
−0.613483 | + | 0.789708i | \(0.710232\pi\) | |||||||
\(284\) | 10.2147 | + | 12.1734i | 0.606130 | + | 0.722357i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −34.9011 | − | 6.15400i | −2.06374 | − | 0.363894i | ||||
\(287\) | 4.50619 | − | 14.5086i | 0.265992 | − | 0.856415i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −11.2470 | −0.661590 | ||||||||
\(290\) | −14.5099 | + | 5.28116i | −0.852049 | + | 0.310121i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −26.6067 | − | 31.7086i | −1.55704 | − | 1.85560i | ||||
\(293\) | 21.6105 | − | 18.1333i | 1.26250 | − | 1.05936i | 0.267085 | − | 0.963673i | \(-0.413939\pi\) |
0.995411 | − | 0.0956878i | \(-0.0305051\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −8.84879 | + | 3.22069i | −0.515196 | + | 0.187516i | ||||
\(296\) | 21.2786 | − | 12.2852i | 1.23679 | − | 0.714064i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −17.4500 | + | 30.2242i | −1.01085 | + | 1.75084i | ||||
\(299\) | −10.6405 | − | 8.92845i | −0.615357 | − | 0.516346i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.66687 | + | 0.212176i | 0.0960770 | + | 0.0122296i | ||||
\(302\) | 12.4633 | − | 2.19762i | 0.717184 | − | 0.126459i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.274814 | + | 0.755045i | 0.0157617 | + | 0.0433048i | ||||
\(305\) | 21.7968 | − | 12.5844i | 1.24808 | − | 0.720581i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −13.2261 | + | 7.63610i | −0.754854 | + | 0.435815i | −0.827445 | − | 0.561547i | \(-0.810207\pi\) |
0.0725912 | + | 0.997362i | \(0.476873\pi\) | |||||||
\(308\) | 9.51503 | − | 18.4713i | 0.542169 | − | 1.05250i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.10619 | + | 11.9448i | 0.119624 | + | 0.678419i | ||||
\(311\) | −6.44697 | + | 5.40965i | −0.365574 | + | 0.306753i | −0.807008 | − | 0.590541i | \(-0.798914\pi\) |
0.441434 | + | 0.897294i | \(0.354470\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.35804 | − | 11.9736i | −0.246331 | − | 0.676789i | −0.999813 | − | 0.0193207i | \(-0.993850\pi\) |
0.753482 | − | 0.657468i | \(-0.228373\pi\) | |||||||
\(314\) | 12.2911 | + | 21.2889i | 0.693630 | + | 1.20140i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.49163 | − | 2.58358i | 0.0839109 | − | 0.145338i | ||||
\(317\) | 25.5640 | + | 4.50762i | 1.43582 | + | 0.253173i | 0.836776 | − | 0.547545i | \(-0.184437\pi\) |
0.599041 | + | 0.800718i | \(0.295549\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.79443 | + | 1.74503i | 0.268436 | + | 0.0977029i | ||||
\(320\) | −41.8604 | − | 15.2360i | −2.34007 | − | 0.851716i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 11.2875 | − | 7.25923i | 0.629030 | − | 0.404541i | ||||
\(323\) | 2.98583i | 0.166136i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 35.5960 | + | 20.5514i | 1.97451 | + | 1.13999i | ||||
\(326\) | −55.9764 | − | 9.87014i | −3.10024 | − | 0.546657i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −9.04675 | − | 10.7815i | −0.499523 | − | 0.595308i | ||||
\(329\) | −31.6879 | − | 4.03355i | −1.74701 | − | 0.222377i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.512399 | − | 2.90596i | 0.0281640 | − | 0.159726i | −0.967482 | − | 0.252939i | \(-0.918603\pi\) |
0.995646 | + | 0.0932133i | \(0.0297138\pi\) | |||||||
\(332\) | −3.91275 | − | 6.77708i | −0.214740 | − | 0.371941i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 5.60120 | + | 3.23386i | 0.306484 | + | 0.176949i | ||||
\(335\) | −4.75276 | + | 26.9542i | −0.259671 | + | 1.47267i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.27089 | + | 0.826536i | 0.123703 | + | 0.0450243i | 0.403130 | − | 0.915143i | \(-0.367922\pi\) |
−0.279427 | + | 0.960167i | \(0.590144\pi\) | |||||||
\(338\) | −55.8487 | + | 9.84762i | −3.03777 | + | 0.535640i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −19.3624 | − | 16.2470i | −1.05008 | − | 0.881118i | ||||
\(341\) | 2.00388 | − | 3.47081i | 0.108516 | − | 0.187955i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 2.65352 | + | 18.3292i | 0.143277 | + | 0.989683i | ||||
\(344\) | 1.00061 | − | 1.19248i | 0.0539490 | − | 0.0642940i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 2.01266 | − | 5.52973i | 0.108201 | − | 0.297280i | ||||
\(347\) | −3.14361 | + | 0.554304i | −0.168758 | + | 0.0297566i | −0.257389 | − | 0.966308i | \(-0.582862\pi\) |
0.0886307 | + | 0.996065i | \(0.471751\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −8.87089 | − | 24.3726i | −0.474848 | − | 1.30463i | −0.913815 | − | 0.406130i | \(-0.866878\pi\) |
0.438967 | − | 0.898503i | \(-0.355344\pi\) | |||||||
\(350\) | −29.1636 | + | 26.9546i | −1.55886 | + | 1.44078i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 8.08783 | + | 14.0085i | 0.431083 | + | 0.746657i | ||||
\(353\) | −4.51456 | + | 25.6033i | −0.240286 | + | 1.36273i | 0.590906 | + | 0.806741i | \(0.298771\pi\) |
−0.831191 | + | 0.555987i | \(0.812341\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −6.01126 | + | 16.5158i | −0.319044 | + | 0.876567i | ||||
\(356\) | −5.33365 | − | 30.2486i | −0.282683 | − | 1.60317i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −24.4997 | − | 20.5577i | −1.29485 | − | 1.08651i | ||||
\(359\) | − | 19.0535i | − | 1.00560i | −0.864402 | − | 0.502802i | \(-0.832303\pi\) | ||
0.864402 | − | 0.502802i | \(-0.167697\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 17.4503 | 0.918439 | ||||||||
\(362\) | 14.3555 | − | 5.22499i | 0.754510 | − | 0.274619i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 6.36899 | − | 50.0353i | 0.333826 | − | 2.62256i | ||||
\(365\) | 15.6578 | − | 43.0195i | 0.819567 | − | 2.25174i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.08788 | − | 7.25525i | 0.317785 | − | 0.378721i | −0.583379 | − | 0.812200i | \(-0.698270\pi\) |
0.901164 | + | 0.433479i | \(0.142714\pi\) | |||||||
\(368\) | 1.45165i | 0.0756725i | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 66.8452 | + | 38.5931i | 3.47512 | + | 2.00636i | ||||
\(371\) | −5.81085 | + | 11.2804i | −0.301684 | + | 0.585651i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 15.0894 | − | 12.6615i | 0.781301 | − | 0.655590i | −0.162275 | − | 0.986746i | \(-0.551883\pi\) |
0.943576 | + | 0.331156i | \(0.107439\pi\) | |||||||
\(374\) | 2.38995 | + | 13.5541i | 0.123581 | + | 0.700864i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −19.0219 | + | 22.6694i | −0.980979 | + | 1.16909i | ||||
\(377\) | 12.3855 | 0.637887 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −24.3431 | −1.25042 | −0.625211 | − | 0.780456i | \(-0.714987\pi\) | ||||
−0.625211 | + | 0.780456i | \(0.714987\pi\) | |||||||
\(380\) | 8.43231 | − | 10.0492i | 0.432568 | − | 0.515515i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −6.55807 | − | 37.1927i | −0.335540 | − | 1.90294i | ||||
\(383\) | 8.34437 | − | 7.00176i | 0.426378 | − | 0.357773i | −0.404205 | − | 0.914668i | \(-0.632452\pi\) |
0.830583 | + | 0.556895i | \(0.188007\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 22.9541 | − | 1.10089i | 1.16985 | − | 0.0561065i | ||||
\(386\) | 22.4063 | + | 12.9363i | 1.14045 | + | 0.658439i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | − | 24.8781i | − | 1.26299i | ||||||
\(389\) | 5.08402 | − | 6.05890i | 0.257770 | − | 0.307198i | −0.621602 | − | 0.783333i | \(-0.713518\pi\) |
0.879372 | + | 0.476135i | \(0.157962\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.84498 | + | 5.06903i | −0.0933045 | + | 0.256352i | ||||
\(392\) | 15.6115 | + | 7.11730i | 0.788498 | + | 0.359478i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 2.15394 | − | 0.783970i | 0.108514 | − | 0.0394958i | ||||
\(395\) | 3.29950 | 0.166016 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 3.33022i | − | 0.167139i | −0.996502 | − | 0.0835695i | \(-0.973368\pi\) | ||
0.996502 | − | 0.0835695i | \(-0.0266321\pi\) | |||||||
\(398\) | −9.47024 | − | 7.94648i | −0.474700 | − | 0.398321i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.745924 | − | 4.23034i | −0.0372962 | − | 0.211517i | ||||
\(401\) | 11.8310 | − | 32.5054i | 0.590812 | − | 1.62324i | −0.178189 | − | 0.983996i | \(-0.557024\pi\) |
0.769001 | − | 0.639247i | \(-0.220754\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.68941 | − | 9.58111i | 0.0841554 | − | 0.477269i | ||||
\(404\) | 2.87362 | + | 4.97725i | 0.142968 | + | 0.247627i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.54941 | + | 11.4280i | −0.176154 | + | 0.567163i | ||||
\(407\) | −8.72297 | − | 23.9662i | −0.432382 | − | 1.18796i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 17.7722 | − | 3.13371i | 0.878776 | − | 0.154952i | 0.283982 | − | 0.958830i | \(-0.408344\pi\) |
0.594795 | + | 0.803878i | \(0.297233\pi\) | |||||||
\(410\) | 15.1218 | − | 41.5468i | 0.746813 | − | 2.05185i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 26.4084 | − | 31.4722i | 1.30105 | − | 1.55053i | ||||
\(413\) | −2.16459 | + | 6.96933i | −0.106513 | + | 0.342938i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4.32751 | − | 7.49547i | 0.212429 | − | 0.367938i | ||||
\(416\) | 30.0801 | + | 25.2402i | 1.47480 | + | 1.23750i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −7.03465 | + | 1.24040i | −0.344076 | + | 0.0606698i | ||||
\(419\) | 8.67340 | + | 3.15686i | 0.423724 | + | 0.154223i | 0.545076 | − | 0.838387i | \(-0.316501\pi\) |
−0.121352 | + | 0.992609i | \(0.538723\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4.17891 | + | 23.6998i | −0.203668 | + | 1.15506i | 0.695855 | + | 0.718182i | \(0.255026\pi\) |
−0.899523 | + | 0.436874i | \(0.856086\pi\) | |||||||
\(422\) | 3.36629 | + | 1.94353i | 0.163869 | + | 0.0946096i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 5.87766 | + | 10.1804i | 0.285445 | + | 0.494404i | ||||
\(425\) | 2.77186 | − | 15.7200i | 0.134455 | − | 0.762532i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 2.46296 | − | 19.3492i | 0.119191 | − | 0.936374i | ||||
\(428\) | 19.2729 | + | 22.9685i | 0.931590 | + | 1.11023i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 4.81586 | + | 0.849166i | 0.232242 | + | 0.0409504i | ||||
\(431\) | −19.5471 | − | 11.2855i | −0.941552 | − | 0.543605i | −0.0511056 | − | 0.998693i | \(-0.516274\pi\) |
−0.890447 | + | 0.455088i | \(0.849608\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 18.7792i | − | 0.902469i | −0.892405 | − | 0.451234i | \(-0.850984\pi\) | ||
0.892405 | − | 0.451234i | \(-0.149016\pi\) | |||||||
\(434\) | 8.35627 | + | 4.30453i | 0.401114 | + | 0.206624i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 20.7393 | + | 7.54850i | 0.993234 | + | 0.361508i | ||||
\(437\) | −2.63086 | − | 0.957555i | −0.125851 | − | 0.0458061i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 6.52614 | + | 1.15074i | 0.311476 | + | 0.0549216i | 0.327201 | − | 0.944955i | \(-0.393895\pi\) |
−0.0157251 | + | 0.999876i | \(0.505006\pi\) | |||||||
\(440\) | 10.6447 | − | 18.4371i | 0.507464 | − | 0.878953i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 16.7052 | + | 28.9342i | 0.794585 | + | 1.37626i | ||||
\(443\) | −6.08341 | − | 16.7140i | −0.289031 | − | 0.794107i | −0.996203 | − | 0.0870648i | \(-0.972251\pi\) |
0.707171 | − | 0.707042i | \(-0.249971\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 26.0234 | − | 21.8362i | 1.23363 | − | 1.03514i | ||||
\(446\) | 8.56410 | + | 48.5694i | 0.405522 | + | 2.29983i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −29.0366 | + | 18.6740i | −1.37185 | + | 0.882261i | ||||
\(449\) | −28.0035 | + | 16.1678i | −1.32157 | + | 0.763007i | −0.983979 | − | 0.178286i | \(-0.942945\pi\) |
−0.337589 | + | 0.941294i | \(0.609611\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −12.6519 | + | 7.30458i | −0.595755 | + | 0.343959i | ||||
\(452\) | 1.55082 | + | 4.26083i | 0.0729443 | + | 0.200413i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −28.9243 | + | 5.10013i | −1.35748 | + | 0.239361i | ||||
\(455\) | 51.4472 | − | 21.5692i | 2.41188 | − | 1.01118i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 6.87283 | + | 5.76699i | 0.321498 | + | 0.269769i | 0.789225 | − | 0.614104i | \(-0.210483\pi\) |
−0.467727 | + | 0.883873i | \(0.654927\pi\) | |||||||
\(458\) | 0.991046 | − | 1.71654i | 0.0463085 | − | 0.0802087i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 20.5251 | − | 11.8501i | 0.956986 | − | 0.552516i | ||||
\(461\) | −32.7872 | + | 11.9336i | −1.52705 | + | 0.555801i | −0.962897 | − | 0.269869i | \(-0.913020\pi\) |
−0.564154 | + | 0.825670i | \(0.690797\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −21.5412 | + | 18.0752i | −1.00111 | + | 0.840028i | −0.987137 | − | 0.159875i | \(-0.948891\pi\) |
−0.0139685 | + | 0.999902i | \(0.504446\pi\) | |||||||
\(464\) | −0.832023 | − | 0.991566i | −0.0386257 | − | 0.0460323i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −17.1376 | + | 6.23759i | −0.793885 | + | 0.288951i | ||||
\(467\) | 24.5729 | 1.13710 | 0.568549 | − | 0.822649i | \(-0.307505\pi\) | ||||
0.568549 | + | 0.822649i | \(0.307505\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 14.3971 | + | 15.5769i | 0.664795 | + | 0.719276i | ||||
\(470\) | −91.5514 | − | 16.1430i | −4.22295 | − | 0.744620i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 4.34569 | + | 5.17899i | 0.200027 | + | 0.238382i | ||||
\(473\) | −1.03864 | − | 1.23780i | −0.0477565 | − | 0.0569140i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 8.15879 | + | 1.43861i | 0.374351 | + | 0.0660082i | ||||
\(476\) | −19.1056 | + | 4.32170i | −0.875704 | + | 0.198085i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 14.6145 | 0.668452 | ||||||||
\(479\) | 30.1019 | − | 10.9562i | 1.37539 | − | 0.500602i | 0.454614 | − | 0.890689i | \(-0.349777\pi\) |
0.920778 | + | 0.390087i | \(0.127555\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −39.7964 | − | 47.4275i | −1.81456 | − | 2.16251i | ||||
\(482\) | −46.3027 | + | 38.8526i | −2.10903 | + | 1.76969i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 13.1311 | − | 4.77933i | 0.596869 | − | 0.217242i | ||||
\(485\) | 23.8289 | − | 13.7576i | 1.08202 | − | 0.624702i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −2.41488 | + | 4.18270i | −0.109429 | + | 0.189536i | −0.915539 | − | 0.402229i | \(-0.868235\pi\) |
0.806110 | + | 0.591765i | \(0.201569\pi\) | |||||||
\(488\) | −13.8424 | − | 11.6151i | −0.626614 | − | 0.525792i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 5.15813 | + | 53.6511i | 0.233021 | + | 2.42371i | ||||
\(491\) | −11.4709 | + | 2.02263i | −0.517675 | + | 0.0912800i | −0.426380 | − | 0.904544i | \(-0.640211\pi\) |
−0.0912942 | + | 0.995824i | \(0.529100\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.64512 | − | 4.51992i | −0.0740923 | − | 0.203567i | ||||
\(494\) | −15.0171 | + | 8.67011i | −0.675650 | + | 0.390086i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.880538 | + | 0.508379i | −0.0395373 | + | 0.0228269i | ||||
\(497\) | 7.36770 | + | 11.4562i | 0.330487 | + | 0.513881i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1.83083 | + | 10.3831i | 0.0819591 | + | 0.464813i | 0.997971 | + | 0.0636632i | \(0.0202783\pi\) |
−0.916012 | + | 0.401150i | \(0.868611\pi\) | |||||||
\(500\) | −13.3611 | + | 11.2113i | −0.597527 | + | 0.501385i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 15.5758 | + | 42.7942i | 0.695183 | + | 1.91000i | ||||
\(503\) | −3.57408 | − | 6.19049i | −0.159360 | − | 0.276020i | 0.775278 | − | 0.631620i | \(-0.217610\pi\) |
−0.934638 | + | 0.355600i | \(0.884277\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3.17823 | + | 5.50485i | −0.141429 | + | 0.244963i | ||||
\(506\) | −12.7092 | − | 2.24097i | −0.564991 | − | 0.0996232i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −25.6885 | − | 9.34983i | −1.13974 | − | 0.414832i | ||||
\(509\) | 17.0659 | + | 6.21149i | 0.756434 | + | 0.275319i | 0.691310 | − | 0.722558i | \(-0.257034\pi\) |
0.0651232 | + | 0.997877i | \(0.479256\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −19.1910 | − | 29.8405i | −0.848960 | − | 1.32007i | ||||
\(512\) | − | 7.26783i | − | 0.321196i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 7.92375 | + | 4.57478i | 0.349501 | + | 0.201785i | ||||
\(515\) | 44.7488 | + | 7.89042i | 1.97187 | + | 0.347694i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 19.7449 | + | 23.5310i | 0.868378 | + | 1.03489i | ||||
\(518\) | 55.1657 | − | 23.1282i | 2.42384 | − | 1.01619i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 8.97419 | − | 50.8952i | 0.393544 | − | 2.23190i | ||||
\(521\) | 1.45387 | + | 2.51818i | 0.0636953 | + | 0.110323i | 0.896114 | − | 0.443823i | \(-0.146378\pi\) |
−0.832419 | + | 0.554146i | \(0.813045\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −22.4146 | − | 12.9411i | −0.980123 | − | 0.565875i | −0.0778161 | − | 0.996968i | \(-0.524795\pi\) |
−0.902307 | + | 0.431093i | \(0.858128\pi\) | |||||||
\(524\) | −10.1465 | + | 57.5438i | −0.443253 | + | 2.51381i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 45.7532 | + | 16.6528i | 1.99493 | + | 0.726096i | ||||
\(527\) | −3.72088 | + | 0.656092i | −0.162084 | + | 0.0285798i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 13.7443 | + | 11.5328i | 0.597578 | + | 0.501428i | ||||
\(530\) | −18.4643 | + | 31.9810i | −0.802036 | + | 1.38917i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −2.24299 | − | 9.91594i | −0.0972459 | − | 0.429911i | ||||
\(533\) | −22.7959 | + | 27.1671i | −0.987399 | + | 1.17674i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −11.3419 | + | 31.1617i | −0.490355 | + | 1.34724i | ||||
\(536\) | 19.3517 | − | 3.41223i | 0.835868 | − | 0.147386i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 1.62419 | + | 4.46243i | 0.0700238 | + | 0.192389i | ||||
\(539\) | 10.0895 | − | 14.6757i | 0.434586 | − | 0.632129i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −9.36987 | − | 16.2291i | −0.402842 | − | 0.697743i | 0.591225 | − | 0.806506i | \(-0.298644\pi\) |
−0.994068 | + | 0.108763i | \(0.965311\pi\) | |||||||
\(542\) | 5.13929 | − | 29.1464i | 0.220751 | − | 1.25194i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 5.21564 | − | 14.3299i | 0.223619 | − | 0.614387i | ||||
\(545\) | 4.23873 | + | 24.0390i | 0.181567 | + | 1.02972i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 33.4456 | + | 28.0642i | 1.43003 | + | 1.19994i | 0.945695 | + | 0.325055i | \(0.105383\pi\) |
0.484335 | + | 0.874882i | \(0.339061\pi\) | |||||||
\(548\) | 4.54744i | 0.194257i | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 38.1881 | 1.62834 | ||||||||
\(551\) | 2.34587 | − | 0.853827i | 0.0999374 | − | 0.0363742i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.54791 | − | 2.03530i | 0.0658240 | − | 0.0865499i | ||||
\(554\) | 2.50884 | − | 6.89298i | 0.106590 | − | 0.292855i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −26.8137 | + | 31.9554i | −1.13716 | + | 1.35521i | ||||
\(557\) | − | 2.74059i | − | 0.116122i | −0.998313 | − | 0.0580612i | \(-0.981508\pi\) | ||
0.998313 | − | 0.0580612i | \(-0.0184918\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.39696 | − | 1.96123i | −0.143676 | − | 0.0829513i | ||||
\(560\) | −5.18286 | − | 2.66983i | −0.219016 | − | 0.112821i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −26.7723 | + | 22.4646i | −1.12932 | + | 0.947612i | ||||
\(563\) | −2.31668 | − | 13.1385i | −0.0976363 | − | 0.553723i | −0.993908 | − | 0.110217i | \(-0.964846\pi\) |
0.896271 | − | 0.443506i | \(-0.146266\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −3.22354 | + | 3.84166i | −0.135615 | + | 0.161620i | ||||
\(566\) | 15.9819 | 0.671767 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 12.6185 | 0.529459 | ||||||||
\(569\) | 6.61733 | − | 7.88623i | 0.277413 | − | 0.330608i | −0.609290 | − | 0.792948i | \(-0.708545\pi\) |
0.886703 | + | 0.462339i | \(0.152990\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3.76232 | − | 21.3372i | −0.157448 | − | 0.892933i | −0.956513 | − | 0.291689i | \(-0.905783\pi\) |
0.799065 | − | 0.601244i | \(-0.205328\pi\) | |||||||
\(572\) | −37.1555 | + | 31.1772i | −1.55355 | + | 1.30358i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −18.5341 | − | 28.8190i | −0.773596 | − | 1.20288i | ||||
\(575\) | 12.9622 | + | 7.48375i | 0.540562 | + | 0.312094i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 5.13708i | 0.213860i | 0.994267 | + | 0.106930i | \(0.0341020\pi\) | ||||
−0.994267 | + | 0.106930i | \(0.965898\pi\) | |||||||
\(578\) | −16.3052 | + | 19.4318i | −0.678207 | + | 0.808255i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −7.22788 | + | 19.8584i | −0.300122 | + | 0.824577i | ||||
\(581\) | −2.59340 | − | 6.18583i | −0.107593 | − | 0.256631i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 11.4662 | − | 4.17337i | 0.474883 | − | 0.172843i | ||||
\(584\) | −32.8679 | −1.36008 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | − | 63.6254i | − | 2.62834i | ||||||
\(587\) | −26.0870 | − | 21.8896i | −1.07672 | − | 0.903479i | −0.0810798 | − | 0.996708i | \(-0.525837\pi\) |
−0.995645 | + | 0.0932285i | \(0.970281\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.340516 | − | 1.93116i | −0.0140307 | − | 0.0795722i | ||||
\(590\) | −7.26390 | + | 19.9574i | −0.299050 | + | 0.821633i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1.12357 | + | 6.37208i | −0.0461784 | + | 0.261891i | ||||
\(593\) | 2.84168 | + | 4.92193i | 0.116694 | + | 0.202119i | 0.918456 | − | 0.395524i | \(-0.129437\pi\) |
−0.801762 | + | 0.597644i | \(0.796104\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −14.7049 | − | 15.9100i | −0.602841 | − | 0.652245i | ||||
\(596\) | 16.3365 | + | 44.8840i | 0.669167 | + | 1.83852i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −30.8518 | + | 5.44000i | −1.26162 | + | 0.222458i | ||||
\(599\) | −13.3705 | + | 36.7351i | −0.546303 | + | 1.50096i | 0.292362 | + | 0.956308i | \(0.405559\pi\) |
−0.838665 | + | 0.544648i | \(0.816663\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −14.1568 | + | 16.8714i | −0.577468 | + | 0.688199i | −0.973146 | − | 0.230190i | \(-0.926065\pi\) |
0.395678 | + | 0.918389i | \(0.370510\pi\) | |||||||
\(602\) | 2.78310 | − | 2.57230i | 0.113431 | − | 0.104839i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 8.66033 | − | 15.0001i | 0.352384 | − | 0.610346i | ||||
\(605\) | 11.8393 | + | 9.93435i | 0.481336 | + | 0.403889i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 23.9714 | − | 4.22680i | 0.972969 | − | 0.171561i | 0.335503 | − | 0.942039i | \(-0.391094\pi\) |
0.637466 | + | 0.770479i | \(0.279983\pi\) | |||||||
\(608\) | 7.43729 | + | 2.70695i | 0.301622 | + | 0.109781i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 9.85720 | − | 55.9029i | 0.399106 | − | 2.26344i | ||||
\(611\) | 64.5774 | + | 37.2838i | 2.61252 | + | 1.50834i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 7.28902 | + | 12.6250i | 0.294401 | + | 0.509917i | 0.974845 | − | 0.222882i | \(-0.0715466\pi\) |
−0.680444 | + | 0.732800i | \(0.738213\pi\) | |||||||
\(614\) | −5.98125 | + | 33.9214i | −0.241384 | + | 1.36895i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −6.37916 | − | 15.2157i | −0.257024 | − | 0.613057i | ||||
\(617\) | 17.1824 | + | 20.4772i | 0.691739 | + | 0.824383i | 0.991565 | − | 0.129611i | \(-0.0413729\pi\) |
−0.299826 | + | 0.953994i | \(0.596928\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 17.9845 | + | 3.17115i | 0.722857 | + | 0.127459i | 0.522959 | − | 0.852358i | \(-0.324828\pi\) |
0.199898 | + | 0.979817i | \(0.435939\pi\) | |||||||
\(620\) | 14.3761 | + | 8.30002i | 0.577357 | + | 0.333337i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 18.9811i | 0.761074i | ||||||||
\(623\) | −1.26121 | − | 26.2967i | −0.0505291 | − | 1.05356i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 13.1416 | + | 4.78316i | 0.525665 | + | 0.191326i | ||||
\(626\) | −27.0051 | − | 9.82905i | −1.07934 | − | 0.392848i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 33.1326 | + | 5.84217i | 1.32213 | + | 0.233128i | ||||
\(629\) | −12.0220 | + | 20.8227i | −0.479349 | + | 0.830256i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −8.50860 | − | 14.7373i | −0.338722 | − | 0.586684i | 0.645471 | − | 0.763785i | \(-0.276661\pi\) |
−0.984193 | + | 0.177101i | \(0.943328\pi\) | |||||||
\(632\) | −0.810202 | − | 2.22601i | −0.0322281 | − | 0.0885460i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 44.8489 | − | 37.6327i | 1.78118 | − | 1.49459i | ||||
\(635\) | −5.25023 | − | 29.7756i | −0.208349 | − | 1.18161i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 10.8307 | − | 41.8542i | 0.429129 | − | 1.65832i | ||||
\(638\) | 9.96556 | − | 5.75362i | 0.394540 | − | 0.227788i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −49.4150 | + | 28.5298i | −1.95330 | + | 1.12774i | ||||
\(641\) | −15.4740 | − | 42.5145i | −0.611187 | − | 1.67922i | −0.727584 | − | 0.686019i | \(-0.759357\pi\) |
0.116397 | − | 0.993203i | \(-0.462865\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1.26736 | + | 0.223470i | −0.0499799 | + | 0.00881280i | −0.198582 | − | 0.980084i | \(-0.563634\pi\) |
0.148602 | + | 0.988897i | \(0.452523\pi\) | |||||||
\(644\) | 2.31926 | − | 18.2202i | 0.0913915 | − | 0.717978i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 5.15868 | + | 4.32865i | 0.202966 | + | 0.170308i | ||||
\(647\) | −11.2984 | + | 19.5694i | −0.444185 | + | 0.769351i | −0.997995 | − | 0.0632923i | \(-0.979840\pi\) |
0.553810 | + | 0.832643i | \(0.313173\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 6.07746 | − | 3.50882i | 0.238561 | − | 0.137733i | ||||
\(650\) | 87.1118 | − | 31.7061i | 3.41681 | − | 1.24362i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −59.5921 | + | 50.0037i | −2.33381 | + | 1.95830i | ||||
\(653\) | 30.4541 | + | 36.2937i | 1.19176 | + | 1.42028i | 0.883148 | + | 0.469095i | \(0.155420\pi\) |
0.308612 | + | 0.951188i | \(0.400136\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −60.7280 | + | 22.1032i | −2.37284 | + | 0.863643i | ||||
\(656\) | 3.70631 | 0.144707 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −52.9079 | + | 48.9004i | −2.06256 | + | 1.90634i | ||||
\(659\) | −6.94728 | − | 1.22499i | −0.270628 | − | 0.0477190i | 0.0366873 | − | 0.999327i | \(-0.488319\pi\) |
−0.307315 | + | 0.951608i | \(0.599431\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 12.6732 | + | 15.1034i | 0.492932 | + | 0.587454i | 0.953961 | − | 0.299932i | \(-0.0969639\pi\) |
−0.461029 | + | 0.887385i | \(0.652519\pi\) | |||||||
\(662\) | −4.27785 | − | 5.09815i | −0.166263 | − | 0.198145i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −6.11946 | − | 1.07903i | −0.237481 | − | 0.0418743i | ||||
\(665\) | 8.25738 | − | 7.63193i | 0.320207 | − | 0.295953i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 4.51017 | 0.174634 | ||||||||
\(668\) | 8.31799 | − | 3.02750i | 0.321833 | − | 0.117137i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 39.6792 | + | 47.2879i | 1.53294 | + | 1.82689i | ||||
\(671\) | −14.3685 | + | 12.0566i | −0.554688 | + | 0.465439i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 41.0196 | − | 14.9299i | 1.58119 | − | 0.575506i | 0.605727 | − | 0.795673i | \(-0.292883\pi\) |
0.975462 | + | 0.220167i | \(0.0706603\pi\) | |||||||
\(674\) | 4.72021 | − | 2.72521i | 0.181816 | − | 0.104971i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −38.8073 | + | 67.2161i | −1.49259 | + | 2.58524i | ||||
\(677\) | −16.1115 | − | 13.5191i | −0.619215 | − | 0.519583i | 0.278342 | − | 0.960482i | \(-0.410215\pi\) |
−0.897557 | + | 0.440899i | \(0.854660\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.69258 | − | 21.1531i | 0.103332 | − | 0.811782i | ||||
\(680\) | −19.7655 | + | 3.48518i | −0.757971 | + | 0.133651i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −3.09153 | − | 8.49390i | −0.118381 | − | 0.325248i | ||||
\(683\) | −13.8112 | + | 7.97392i | −0.528472 | + | 0.305114i | −0.740394 | − | 0.672173i | \(-0.765361\pi\) |
0.211922 | + | 0.977287i | \(0.432028\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −4.35566 | + | 2.51474i | −0.166421 | + | 0.0960834i | ||||
\(686\) | 35.5147 | + | 21.9879i | 1.35596 | + | 0.839500i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.0711841 | + | 0.403705i | 0.00271387 | + | 0.0153911i | ||||
\(689\) | 22.6909 | − | 19.0400i | 0.864456 | − | 0.725365i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 4.61731 | + | 12.6860i | 0.175651 | + | 0.482597i | 0.996009 | − | 0.0892535i | \(-0.0284481\pi\) |
−0.820358 | + | 0.571850i | \(0.806226\pi\) | |||||||
\(692\) | −4.02689 | − | 6.97478i | −0.153079 | − | 0.265141i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −3.59971 | + | 6.23488i | −0.136643 | + | 0.236673i | ||||
\(695\) | −45.4358 | − | 8.01155i | −1.72348 | − | 0.303895i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 12.9421 | + | 4.71054i | 0.490217 | + | 0.178424i | ||||
\(698\) | −54.9695 | − | 20.0073i | −2.08063 | − | 0.757286i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 2.60370 | + | 54.2885i | 0.0984107 | + | 2.05191i | ||||
\(701\) | 5.13366i | 0.193896i | 0.995289 | + | 0.0969478i | \(0.0309080\pi\) | ||||
−0.995289 | + | 0.0969478i | \(0.969092\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −10.8071 | − | 6.23950i | −0.407599 | − | 0.235327i | ||||
\(704\) | 32.6936 | + | 5.76476i | 1.23219 | + | 0.217268i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 37.6906 | + | 44.9179i | 1.41850 | + | 1.69051i | ||||
\(707\) | 1.90466 | + | 4.54302i | 0.0716320 | + | 0.170858i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −3.27838 | + | 18.5926i | −0.123122 | + | 0.698260i | 0.859283 | + | 0.511500i | \(0.170910\pi\) |
−0.982406 | + | 0.186760i | \(0.940201\pi\) | |||||||
\(710\) | 19.8200 | + | 34.3293i | 0.743832 | + | 1.28835i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −21.1220 | − | 12.1948i | −0.791579 | − | 0.457018i | ||||
\(713\) | 0.615195 | − | 3.48894i | 0.0230392 | − | 0.130662i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −50.4093 | − | 18.3475i | −1.88520 | − | 0.686158i | ||||
\(716\) | −43.1062 | + | 7.60079i | −1.61096 | + | 0.284055i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −32.9191 | − | 27.6224i | −1.22853 | − | 1.03086i | ||||
\(719\) | 2.15856 | − | 3.73874i | 0.0805007 | − | 0.139431i | −0.822964 | − | 0.568093i | \(-0.807681\pi\) |
0.903465 | + | 0.428662i | \(0.141015\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 25.8605 | − | 23.9017i | 0.963095 | − | 0.890146i | ||||
\(722\) | 25.2983 | − | 30.1494i | 0.941506 | − | 1.12204i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 7.15100 | − | 19.6472i | 0.265765 | − | 0.730183i | ||||
\(725\) | −13.1434 | + | 2.31753i | −0.488132 | + | 0.0860708i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 10.4652 | + | 28.7528i | 0.388131 | + | 1.06638i | 0.967842 | + | 0.251560i | \(0.0809435\pi\) |
−0.579710 | + | 0.814823i | \(0.696834\pi\) | |||||||
\(728\) | −27.1847 | − | 29.4125i | −1.00753 | − | 1.09010i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −51.6261 | − | 89.4191i | −1.91077 | − | 3.30955i | ||||
\(731\) | −0.264521 | + | 1.50017i | −0.00978366 | + | 0.0554859i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −6.38753 | + | 17.5496i | −0.235929 | + | 0.648210i | 0.764066 | + | 0.645138i | \(0.223200\pi\) |
−0.999995 | + | 0.00307180i | \(0.999022\pi\) | |||||||
\(734\) | −3.70928 | − | 21.0364i | −0.136912 | − | 0.776466i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 10.9536 | + | 9.19118i | 0.403756 | + | 0.338791i | ||||
\(737\) | − | 20.3971i | − | 0.751337i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 40.3186 | 1.48315 | 0.741573 | − | 0.670873i | \(-0.234080\pi\) | ||||
0.741573 | + | 0.670873i | \(0.234080\pi\) | |||||||
\(740\) | 99.2676 | − | 36.1304i | 3.64915 | − | 1.32818i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 11.0653 | + | 26.3932i | 0.406220 | + | 0.968923i | ||||
\(743\) | −9.56525 | + | 26.2803i | −0.350915 | + | 0.964131i | 0.631162 | + | 0.775651i | \(0.282578\pi\) |
−0.982077 | + | 0.188480i | \(0.939644\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −33.9570 | + | 40.4684i | −1.24409 | + | 1.48265i | ||||
\(746\) | − | 44.4262i | − | 1.62656i | ||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 16.3129 | + | 9.41823i | 0.596457 | + | 0.344365i | ||||
\(749\) | 13.9013 | + | 21.6154i | 0.507941 | + | 0.789809i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 28.7061 | − | 24.0873i | 1.04750 | − | 0.878959i | 0.0546735 | − | 0.998504i | \(-0.482588\pi\) |
0.992829 | + | 0.119546i | \(0.0381438\pi\) | |||||||
\(752\) | −1.35324 | − | 7.67458i | −0.0493474 | − | 0.279863i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 17.9557 | − | 21.3988i | 0.653908 | − | 0.779297i | ||||
\(755\) | 19.1567 | 0.697184 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 31.2917 | 1.13732 | 0.568659 | − | 0.822574i | \(-0.307463\pi\) | ||||
0.568659 | + | 0.822574i | \(0.307463\pi\) | |||||||
\(758\) | −35.2910 | + | 42.0582i | −1.28183 | + | 1.52762i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −1.80883 | − | 10.2584i | −0.0656133 | − | 0.372112i | ||||
\(761\) | 26.8763 | − | 22.5519i | 0.974265 | − | 0.817505i | −0.00894931 | − | 0.999960i | \(-0.502849\pi\) |
0.983214 | + | 0.182455i | \(0.0584042\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 16.8171 | + | 8.66290i | 0.608818 | + | 0.313618i | ||||
\(764\) | −44.7629 | − | 25.8439i | −1.61946 | − | 0.934998i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | − | 24.5674i | − | 0.887658i | ||||||
\(767\) | 10.9502 | − | 13.0500i | 0.395389 | − | 0.471206i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 4.55125 | − | 12.5045i | 0.164122 | − | 0.450923i | −0.830183 | − | 0.557491i | \(-0.811764\pi\) |
0.994305 | + | 0.106568i | \(0.0339863\pi\) | |||||||
\(770\) | 31.3753 | − | 41.2543i | 1.13069 | − | 1.48670i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 33.2741 | − | 12.1108i | 1.19756 | − | 0.435877i | ||||
\(773\) | 17.3597 | 0.624384 | 0.312192 | − | 0.950019i | \(-0.398937\pi\) | ||||
0.312192 | + | 0.950019i | \(0.398937\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 10.4835i | 0.376577i | ||||||||
\(776\) | −15.1329 | − | 12.6980i | −0.543238 | − | 0.455831i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −3.09764 | − | 17.5676i | −0.111056 | − | 0.629828i | ||||
\(779\) | −2.44480 | + | 6.71704i | −0.0875941 | + | 0.240663i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.27445 | − | 12.8991i | 0.0813864 | − | 0.461565i | ||||
\(782\) | 6.08316 | + | 10.5363i | 0.217534 | + | 0.376779i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −4.07835 | + | 1.94455i | −0.145656 | + | 0.0694481i | ||||
\(785\) | 12.7266 | + | 34.9660i | 0.454231 | + | 1.24799i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 14.3977 | − | 2.53870i | 0.513221 | − | 0.0904948i | 0.0889612 | − | 0.996035i | \(-0.471645\pi\) |
0.424260 | + | 0.905540i | \(0.360534\pi\) | |||||||
\(788\) | 1.07295 | − | 2.94792i | 0.0382224 | − | 0.105015i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 4.78339 | − | 5.70063i | 0.170185 | − | 0.202819i | ||||
\(791\) | 0.857459 | + | 3.79071i | 0.0304877 | + | 0.134782i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −22.7662 | + | 39.4322i | −0.808450 | + | 1.40028i | ||||
\(794\) | −5.75370 | − | 4.82793i | −0.204191 | − | 0.171337i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −16.6625 | + | 2.93805i | −0.590587 | + | 0.104136i | ||||
\(797\) | 29.7715 | + | 10.8359i | 1.05456 | + | 0.383828i | 0.810382 | − | 0.585902i | \(-0.199260\pi\) |
0.244178 | + | 0.969731i | \(0.421482\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 5.02864 | − | 28.5188i | 0.177901 | − | 1.00892i | ||||
\(800\) | −36.6435 | − | 21.1561i | −1.29554 | − | 0.747981i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −39.0086 | − | 67.5649i | −1.37744 | − | 2.38580i | ||||
\(803\) | −5.92438 | + | 33.5988i | −0.209067 | + | 1.18568i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 18.7344 | − | 7.85438i | 0.660300 | − | 0.276830i | ||||
\(806\) | −14.1043 | − | 16.8089i | −0.496803 | − | 0.592067i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 4.49428 | + | 0.792462i | 0.158108 | + | 0.0278787i | ||||
\(809\) | −40.0677 | − | 23.1331i | −1.40870 | − | 0.813316i | −0.413441 | − | 0.910531i | \(-0.635673\pi\) |
−0.995263 | + | 0.0972146i | \(0.969007\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 33.8813i | − | 1.18973i | −0.803825 | − | 0.594866i | \(-0.797205\pi\) | ||
0.803825 | − | 0.594866i | \(-0.202795\pi\) | |||||||
\(812\) | 8.85886 | + | 13.7748i | 0.310885 | + | 0.483402i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −54.0529 | − | 19.6737i | −1.89455 | − | 0.689561i | ||||
\(815\) | −80.8494 | − | 29.4268i | −2.83203 | − | 1.03078i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.778600 | − | 0.137288i | −0.0272398 | − | 0.00480310i | ||||
\(818\) | 20.3507 | − | 35.2484i | 0.711545 | − | 1.23243i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −30.2555 | − | 52.4040i | −1.05657 | − | 1.83003i | ||||
\(821\) | −16.0558 | − | 44.1131i | −0.560353 | − | 1.53956i | −0.819123 | − | 0.573618i | \(-0.805540\pi\) |
0.258771 | − | 0.965939i | \(-0.416683\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −25.7167 | + | 21.5789i | −0.896428 | + | 0.752192i | −0.969489 | − | 0.245135i | \(-0.921168\pi\) |
0.0730613 | + | 0.997327i | \(0.476723\pi\) | |||||||
\(824\) | −5.66492 | − | 32.1273i | −0.197347 | − | 1.11921i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 8.90301 | + | 13.8435i | 0.309775 | + | 0.481676i | ||||
\(827\) | −9.24493 | + | 5.33756i | −0.321478 | + | 0.185605i | −0.652051 | − | 0.758175i | \(-0.726091\pi\) |
0.330573 | + | 0.943780i | \(0.392758\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −30.1265 | + | 17.3936i | −1.04634 | + | 0.604103i | −0.921622 | − | 0.388089i | \(-0.873135\pi\) |
−0.124716 | + | 0.992192i | \(0.539802\pi\) | |||||||
\(830\) | −6.67637 | − | 18.3432i | −0.231740 | − | 0.636701i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 79.3645 | − | 13.9941i | 2.75147 | − | 0.485158i | ||||
\(833\) | −16.7127 | + | 1.60679i | −0.579060 | + | 0.0556720i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 7.49968 | + | 6.29298i | 0.259537 | + | 0.217777i | ||||
\(836\) | −4.88813 | + | 8.46648i | −0.169059 | + | 0.292819i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 18.0283 | − | 10.4086i | 0.622777 | − | 0.359561i | ||||
\(839\) | 14.6918 | − | 5.34740i | 0.507219 | − | 0.184613i | −0.0757191 | − | 0.997129i | \(-0.524125\pi\) |
0.582938 | + | 0.812517i | \(0.301903\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 19.1346 | − | 16.0558i | 0.659813 | − | 0.553649i | ||||
\(842\) | 34.8884 | + | 41.5783i | 1.20233 | + | 1.43288i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 4.99907 | − | 1.81951i | 0.172075 | − | 0.0626302i | ||||
\(845\) | −85.8419 | −2.95305 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 11.6823 | − | 2.64253i | 0.401407 | − | 0.0907985i | ||||
\(848\) | −3.04862 | − | 0.537554i | −0.104690 | − | 0.0184597i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −23.1414 | − | 27.5788i | −0.793743 | − | 0.945946i | ||||
\(851\) | −14.4918 | − | 17.2706i | −0.496772 | − | 0.592030i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 13.0053 | + | 2.29319i | 0.445294 | + | 0.0785174i | 0.391799 | − | 0.920051i | \(-0.371853\pi\) |
0.0534951 | + | 0.998568i | \(0.482964\pi\) | |||||||
\(854\) | −29.8595 | − | 32.3065i | −1.02177 | − | 1.10551i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 23.8083 | 0.813752 | ||||||||
\(857\) | −32.5929 | + | 11.8629i | −1.11335 | + | 0.405228i | −0.832222 | − | 0.554442i | \(-0.812932\pi\) |
−0.281131 | + | 0.959669i | \(0.590710\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 0.903326 | + | 1.07654i | 0.0308211 | + | 0.0367311i | 0.781235 | − | 0.624237i | \(-0.214590\pi\) |
−0.750414 | + | 0.660968i | \(0.770146\pi\) | |||||||
\(860\) | 5.12694 | − | 4.30201i | 0.174827 | − | 0.146697i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −47.8364 | + | 17.4110i | −1.62931 | + | 0.593022i | ||||
\(863\) | −30.4192 | + | 17.5625i | −1.03548 | + | 0.597836i | −0.918550 | − | 0.395304i | \(-0.870639\pi\) |
−0.116931 | + | 0.993140i | \(0.537306\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 4.45375 | − | 7.71412i | 0.151432 | − | 0.262288i | ||||
\(866\) | −32.4452 | − | 27.2248i | −1.10253 | − | 0.925135i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 11.8642 | − | 4.97406i | 0.402698 | − | 0.168831i | ||||
\(869\) | −2.42155 | + | 0.426984i | −0.0821454 | + | 0.0144844i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −16.9350 | − | 46.5284i | −0.573819 | − | 1.57655i | ||||
\(872\) | 15.1771 | − | 8.76251i | 0.513962 | − | 0.296736i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −5.46844 | + | 3.15720i | −0.184973 | + | 0.106794i | ||||
\(875\) | −12.5740 | + | 8.08655i | −0.425077 | + | 0.273375i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −7.31819 | − | 41.5035i | −0.247118 | − | 1.40147i | −0.815522 | − | 0.578726i | \(-0.803550\pi\) |
0.568404 | − | 0.822749i | \(-0.307561\pi\) | |||||||
\(878\) | 11.4493 | − | 9.60712i | 0.386396 | − | 0.324225i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 1.91748 | + | 5.26823i | 0.0646381 | + | 0.177592i | ||||
\(881\) | −28.1569 | − | 48.7691i | −0.948629 | − | 1.64307i | −0.748317 | − | 0.663342i | \(-0.769138\pi\) |
−0.200313 | − | 0.979732i | \(-0.564196\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −17.5215 | + | 30.3481i | −0.589645 | + | 1.02130i | 0.404634 | + | 0.914479i | \(0.367399\pi\) |
−0.994279 | + | 0.106816i | \(0.965934\pi\) | |||||||
\(884\) | 45.0313 | + | 7.94023i | 1.51457 | + | 0.267059i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −37.6965 | − | 13.7204i | −1.26644 | − | 0.460946i | ||||
\(887\) | 40.3117 | + | 14.6722i | 1.35353 | + | 0.492646i | 0.914049 | − | 0.405605i | \(-0.132939\pi\) |
0.439484 | + | 0.898250i | \(0.355161\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −20.8302 | − | 10.7302i | −0.698622 | − | 0.359878i | ||||
\(890\) | − | 76.6180i | − | 2.56824i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 58.4553 | + | 33.7492i | 1.95723 | + | 1.13001i | ||||
\(893\) | 14.8015 | + | 2.60990i | 0.495312 | + | 0.0873370i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −31.1181 | − | 37.0850i | −1.04016 | − | 1.23962i | ||||
\(896\) | −5.58371 | + | 43.8661i | −0.186539 | + | 1.46546i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −12.6640 | + | 71.8214i | −0.422605 | + | 2.39671i | ||||
\(899\) | 1.57950 | + | 2.73577i | 0.0526791 | + | 0.0912429i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −9.96230 | − | 5.75174i | −0.331892 | − | 0.191618i | ||||
\(902\) | −5.72158 | + | 32.4487i | −0.190508 | + | 1.08042i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 3.38333 | + | 1.23143i | 0.112528 | + | 0.0409568i | ||||
\(905\) | 22.7732 | − | 4.01552i | 0.757005 | − | 0.133480i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −10.3157 | − | 8.65588i | −0.342526 | − | 0.287414i | 0.455254 | − | 0.890361i | \(-0.349548\pi\) |
−0.797781 | + | 0.602948i | \(0.793993\pi\) | |||||||
\(908\) | −20.0985 | + | 34.8116i | −0.666991 | + | 1.15526i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 37.3190 | − | 120.156i | 1.23711 | − | 3.98313i | ||||
\(911\) | 36.2342 | − | 43.1823i | 1.20049 | − | 1.43069i | 0.326197 | − | 0.945302i | \(-0.394233\pi\) |
0.874297 | − | 0.485391i | \(-0.161323\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −2.20604 | + | 6.06105i | −0.0730093 | + | 0.200591i | ||||
\(914\) | 19.9275 | − | 3.51376i | 0.659144 | − | 0.116225i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.927806 | − | 2.54913i | −0.0306556 | − | 0.0842255i | ||||
\(917\) | −14.8553 | + | 47.8296i | −0.490565 | + | 1.57947i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 19.3698 | + | 33.5495i | 0.638951 | + | 1.10670i | 0.985663 | + | 0.168725i | \(0.0539649\pi\) |
−0.346712 | + | 0.937972i | \(0.612702\pi\) | |||||||
\(920\) | 3.26794 | − | 18.5334i | 0.107741 | − | 0.611028i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −26.9147 | + | 73.9476i | −0.886390 | + | 2.43534i | ||||
\(923\) | −5.52129 | − | 31.3128i | −0.181736 | − | 1.03067i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 51.1059 | + | 42.8829i | 1.68035 | + | 1.40998i | ||||
\(926\) | 63.4216i | 2.08416i | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −12.7500 | −0.418539 | ||||||||
\(929\) | 40.8960 | − | 14.8849i | 1.34175 | − | 0.488358i | 0.431389 | − | 0.902166i | \(-0.358024\pi\) |
0.910364 | + | 0.413807i | \(0.135801\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.833936 | − | 8.67399i | −0.0273311 | − | 0.284278i | ||||
\(932\) | −8.53686 | + | 23.4548i | −0.279634 | + | 0.768288i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 35.6241 | − | 42.4552i | 1.16566 | − | 1.38918i | ||||
\(935\) | 20.8332i | 0.681318i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −29.8016 | − | 17.2060i | −0.973576 | − | 0.562094i | −0.0732512 | − | 0.997314i | \(-0.523337\pi\) |
−0.900324 | + | 0.435219i | \(0.856671\pi\) | |||||||
\(938\) | 47.7845 | − | 2.29177i | 1.56022 | − | 0.0748290i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −97.4651 | + | 81.7829i | −3.17896 | + | 2.66746i | ||||
\(941\) | −9.69222 | − | 54.9673i | −0.315957 | − | 1.79188i | −0.566801 | − | 0.823855i | \(-0.691819\pi\) |
0.250843 | − | 0.968028i | \(-0.419292\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −8.30107 | + | 9.89283i | −0.270320 | + | 0.322155i | ||||
\(944\) | −1.78036 | −0.0579458 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −3.64432 | −0.118487 | ||||||||
\(947\) | −3.33361 | + | 3.97284i | −0.108328 | + | 0.129100i | −0.817484 | − | 0.575952i | \(-0.804632\pi\) |
0.709156 | + | 0.705051i | \(0.249076\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 14.3816 | + | 81.5620i | 0.466846 | + | 2.64761i | ||||
\(950\) | 14.3136 | − | 12.0105i | 0.464394 | − | 0.389673i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −7.12285 | + | 13.8274i | −0.230853 | + | 0.448148i | ||||
\(953\) | 38.7728 | + | 22.3855i | 1.25598 | + | 0.725138i | 0.972290 | − | 0.233779i | \(-0.0751093\pi\) |
0.283686 | + | 0.958917i | \(0.408443\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | − | 57.1668i | − | 1.84987i | ||||||
\(956\) | 12.8568 | − | 15.3221i | 0.415819 | − | 0.495554i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 24.7104 | − | 67.8914i | 0.798358 | − | 2.19347i | ||||
\(959\) | −0.492174 | + | 3.86655i | −0.0158931 | + | 0.124858i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −26.7987 | + | 9.75393i | −0.864475 | + | 0.314643i | ||||
\(962\) | −139.636 | −4.50204 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 82.7245i | 2.66438i | ||||||||
\(965\) | 30.0007 | + | 25.1735i | 0.965756 | + | 0.810365i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 3.09720 | + | 17.5651i | 0.0995992 | + | 0.564855i | 0.993241 | + | 0.116074i | \(0.0370308\pi\) |
−0.893641 | + | 0.448782i | \(0.851858\pi\) | |||||||
\(968\) | 3.79504 | − | 10.4268i | 0.121977 | − | 0.335130i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 10.7762 | − | 61.1147i | 0.346002 | − | 1.96227i | ||||
\(971\) | −4.65514 | − | 8.06294i | −0.149391 | − | 0.258752i | 0.781612 | − | 0.623765i | \(-0.214398\pi\) |
−0.931002 | + | 0.365013i | \(0.881065\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −26.2575 | + | 24.2686i | −0.841776 | + | 0.778016i | ||||
\(974\) | 3.72561 | + | 10.2360i | 0.119376 | + | 0.327984i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 4.68624 | − | 0.826311i | 0.150003 | − | 0.0264496i | ||||
\(977\) | −1.23209 | + | 3.38515i | −0.0394182 | + | 0.108300i | −0.957840 | − | 0.287302i | \(-0.907242\pi\) |
0.918422 | + | 0.395602i | \(0.129464\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −16.2731 | + | 19.3936i | −0.520092 | + | 0.619821i | ||||
\(980\) | 60.7867 | + | 41.7906i | 1.94176 | + | 1.33495i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −13.1352 | + | 22.7508i | −0.419161 | + | 0.726008i | ||||
\(983\) | 2.94241 | + | 2.46898i | 0.0938484 | + | 0.0787481i | 0.688505 | − | 0.725232i | \(-0.258267\pi\) |
−0.594656 | + | 0.803980i | \(0.702712\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 3.41694 | − | 0.602498i | 0.108873 | − | 0.0191972i | ||||
\(986\) | −10.1942 | − | 3.71037i | −0.324648 | − | 0.118162i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −4.12103 | + | 23.3715i | −0.131108 | + | 0.743548i | ||||
\(989\) | −1.23700 | − | 0.714180i | −0.0393342 | − | 0.0227096i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 3.17566 | + | 5.50041i | 0.100878 | + | 0.174726i | 0.912047 | − | 0.410086i | \(-0.134501\pi\) |
−0.811168 | + | 0.584813i | \(0.801168\pi\) | |||||||
\(992\) | −1.73912 | + | 9.86304i | −0.0552171 | + | 0.313152i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 30.4744 | + | 3.87908i | 0.966588 | + | 0.123037i | ||||
\(995\) | −12.0285 | − | 14.3350i | −0.381330 | − | 0.454452i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −53.6156 | − | 9.45388i | −1.69802 | − | 0.299407i | −0.761021 | − | 0.648728i | \(-0.775301\pi\) |
−0.937003 | + | 0.349320i | \(0.886413\pi\) | |||||||
\(998\) | 20.5934 | + | 11.8896i | 0.651873 | + | 0.376359i | ||||
\(999\) | 0 | 0 |
(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 | 567.2.ba.a.143.20 | 132 | ||
3.2 | odd | 2 | 189.2.ba.a.101.3 | ✓ | 132 | ||
7.5 | odd | 6 | 567.2.bd.a.467.3 | 132 | |||
21.5 | even | 6 | 189.2.bd.a.47.20 | yes | 132 | ||
27.4 | even | 9 | 189.2.bd.a.185.20 | yes | 132 | ||
27.23 | odd | 18 | 567.2.bd.a.17.3 | 132 | |||
189.131 | even | 18 | inner | 567.2.ba.a.341.20 | 132 | ||
189.166 | odd | 18 | 189.2.ba.a.131.3 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.ba.a.101.3 | ✓ | 132 | 3.2 | odd | 2 | ||
189.2.ba.a.131.3 | yes | 132 | 189.166 | odd | 18 | ||
189.2.bd.a.47.20 | yes | 132 | 21.5 | even | 6 | ||
189.2.bd.a.185.20 | yes | 132 | 27.4 | even | 9 | ||
567.2.ba.a.143.20 | 132 | 1.1 | even | 1 | trivial | ||
567.2.ba.a.341.20 | 132 | 189.131 | even | 18 | inner | ||
567.2.bd.a.17.3 | 132 | 27.23 | odd | 18 | |||
567.2.bd.a.467.3 | 132 | 7.5 | odd | 6 |