Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(10,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bf (of order \(66\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 61.20 | ||
Character | \(\chi\) | \(=\) | 483.61 |
Dual form | 483.2.bf.a.388.20 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{17}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.230012 | + | 0.180883i | 0.162643 | + | 0.127904i | 0.696163 | − | 0.717883i | \(-0.254889\pi\) |
−0.533521 | + | 0.845787i | \(0.679131\pi\) | |||||||
\(3\) | −0.814576 | − | 0.580057i | −0.470296 | − | 0.334896i | ||||
\(4\) | −0.451331 | − | 1.86041i | −0.225666 | − | 0.930206i | ||||
\(5\) | −1.27384 | + | 0.245512i | −0.569678 | + | 0.109797i | −0.465953 | − | 0.884809i | \(-0.654288\pi\) |
−0.103725 | + | 0.994606i | \(0.533076\pi\) | |||||||
\(6\) | −0.0824394 | − | 0.280763i | −0.0336558 | − | 0.114621i | ||||
\(7\) | 2.61056 | − | 0.430094i | 0.986699 | − | 0.162560i | ||||
\(8\) | 0.475820 | − | 1.04190i | 0.168228 | − | 0.368367i | ||||
\(9\) | 0.327068 | + | 0.945001i | 0.109023 | + | 0.315000i | ||||
\(10\) | −0.337407 | − | 0.173945i | −0.106697 | − | 0.0550064i | ||||
\(11\) | 0.611869 | + | 0.778054i | 0.184485 | + | 0.234592i | 0.869495 | − | 0.493942i | \(-0.164444\pi\) |
−0.685010 | + | 0.728534i | \(0.740202\pi\) | |||||||
\(12\) | −0.711502 | + | 1.77725i | −0.205393 | + | 0.513047i | ||||
\(13\) | −2.09313 | − | 3.25697i | −0.580530 | − | 0.903322i | 0.419460 | − | 0.907774i | \(-0.362219\pi\) |
−0.999990 | + | 0.00445189i | \(0.998583\pi\) | |||||||
\(14\) | 0.678256 | + | 0.373280i | 0.181271 | + | 0.0997632i | ||||
\(15\) | 1.18005 | + | 0.538911i | 0.304688 | + | 0.139146i | ||||
\(16\) | −3.10522 | + | 1.60085i | −0.776306 | + | 0.400214i | ||||
\(17\) | −4.95298 | − | 4.72266i | −1.20127 | − | 1.14541i | −0.985626 | − | 0.168941i | \(-0.945965\pi\) |
−0.215648 | − | 0.976471i | \(-0.569186\pi\) | |||||||
\(18\) | −0.0957053 | + | 0.276522i | −0.0225580 | + | 0.0651769i | ||||
\(19\) | 4.13392 | − | 3.94168i | 0.948385 | − | 0.904284i | −0.0471295 | − | 0.998889i | \(-0.515007\pi\) |
0.995515 | + | 0.0946051i | \(0.0301588\pi\) | |||||||
\(20\) | 1.03168 | + | 2.25906i | 0.230690 | + | 0.505141i | ||||
\(21\) | −2.37598 | − | 1.16393i | −0.518481 | − | 0.253990i | ||||
\(22\) | 0.289638i | 0.0617511i | ||||||||
\(23\) | −3.75901 | + | 2.97823i | −0.783807 | + | 0.621004i | ||||
\(24\) | −0.991953 | + | 0.572704i | −0.202482 | + | 0.116903i | ||||
\(25\) | −3.07945 | + | 1.23283i | −0.615890 | + | 0.246565i | ||||
\(26\) | 0.107687 | − | 1.12775i | 0.0211192 | − | 0.221171i | ||||
\(27\) | 0.281733 | − | 0.959493i | 0.0542195 | − | 0.184655i | ||||
\(28\) | −1.97838 | − | 4.66260i | −0.373878 | − | 0.881149i | ||||
\(29\) | −4.64767 | + | 1.36468i | −0.863050 | + | 0.253414i | −0.683157 | − | 0.730272i | \(-0.739393\pi\) |
−0.179893 | + | 0.983686i | \(0.557575\pi\) | |||||||
\(30\) | 0.173945 | + | 0.337407i | 0.0317579 | + | 0.0616018i | ||||
\(31\) | −0.638852 | − | 6.69036i | −0.114741 | − | 1.20162i | −0.851089 | − | 0.525021i | \(-0.824058\pi\) |
0.736348 | − | 0.676603i | \(-0.236548\pi\) | |||||||
\(32\) | −3.25322 | − | 0.627008i | −0.575094 | − | 0.110840i | ||||
\(33\) | −0.0470977 | − | 0.988703i | −0.00819866 | − | 0.172111i | ||||
\(34\) | −0.284994 | − | 1.98218i | −0.0488761 | − | 0.339940i | ||||
\(35\) | −3.21984 | + | 1.18880i | −0.544252 | + | 0.200943i | ||||
\(36\) | 1.61048 | − | 1.03499i | 0.268413 | − | 0.172498i | ||||
\(37\) | −4.80384 | + | 1.66262i | −0.789746 | + | 0.273334i | −0.692019 | − | 0.721880i | \(-0.743278\pi\) |
−0.0977271 | + | 0.995213i | \(0.531157\pi\) | |||||||
\(38\) | 1.66383 | − | 0.158877i | 0.269909 | − | 0.0257732i | ||||
\(39\) | −0.184217 | + | 3.86719i | −0.0294983 | + | 0.619245i | ||||
\(40\) | −0.350319 | + | 1.44403i | −0.0553903 | + | 0.228322i | ||||
\(41\) | 5.07708 | − | 4.39932i | 0.792907 | − | 0.687058i | −0.161068 | − | 0.986943i | \(-0.551494\pi\) |
0.953975 | + | 0.299885i | \(0.0969484\pi\) | |||||||
\(42\) | −0.335967 | − | 0.697491i | −0.0518409 | − | 0.107625i | ||||
\(43\) | 4.50785 | − | 2.05866i | 0.687440 | − | 0.313943i | −0.0408960 | − | 0.999163i | \(-0.513021\pi\) |
0.728336 | + | 0.685220i | \(0.240294\pi\) | |||||||
\(44\) | 1.17135 | − | 1.48949i | 0.176587 | − | 0.224549i | ||||
\(45\) | −0.648642 | − | 1.12348i | −0.0966938 | − | 0.167479i | ||||
\(46\) | −1.40333 | + | 0.00508622i | −0.206909 | + | 0.000749922i | ||||
\(47\) | 1.16276 | + | 0.671322i | 0.169607 | + | 0.0979224i | 0.582400 | − | 0.812902i | \(-0.302114\pi\) |
−0.412794 | + | 0.910825i | \(0.635447\pi\) | |||||||
\(48\) | 3.45803 | + | 0.497189i | 0.499123 | + | 0.0717631i | ||||
\(49\) | 6.63004 | − | 2.24557i | 0.947148 | − | 0.320796i | ||||
\(50\) | −0.931306 | − | 0.273456i | −0.131707 | − | 0.0386725i | ||||
\(51\) | 1.29517 | + | 6.71997i | 0.181360 | + | 0.940984i | ||||
\(52\) | −5.11462 | + | 5.36406i | −0.709270 | + | 0.743861i | ||||
\(53\) | 12.3364 | + | 0.587653i | 1.69453 | + | 0.0807204i | 0.872465 | − | 0.488676i | \(-0.162520\pi\) |
0.822063 | + | 0.569396i | \(0.192823\pi\) | |||||||
\(54\) | 0.238358 | − | 0.169734i | 0.0324364 | − | 0.0230979i | ||||
\(55\) | −0.970445 | − | 0.840895i | −0.130855 | − | 0.113386i | ||||
\(56\) | 0.794041 | − | 2.92459i | 0.106108 | − | 0.390815i | ||||
\(57\) | −5.65379 | + | 0.812892i | −0.748863 | + | 0.107670i | ||||
\(58\) | −1.31586 | − | 0.526793i | −0.172781 | − | 0.0691713i | ||||
\(59\) | −3.40911 | + | 6.61275i | −0.443828 | + | 0.860907i | 0.555735 | + | 0.831360i | \(0.312437\pi\) |
−0.999563 | + | 0.0295475i | \(0.990593\pi\) | |||||||
\(60\) | 0.470003 | − | 2.43861i | 0.0606771 | − | 0.314823i | ||||
\(61\) | 3.79728 | + | 5.33253i | 0.486191 | + | 0.682760i | 0.982686 | − | 0.185280i | \(-0.0593191\pi\) |
−0.496495 | + | 0.868040i | \(0.665380\pi\) | |||||||
\(62\) | 1.06323 | − | 1.65442i | 0.135030 | − | 0.210111i | ||||
\(63\) | 1.26027 | + | 2.32631i | 0.158779 | + | 0.293088i | ||||
\(64\) | 3.94076 | + | 4.54788i | 0.492595 | + | 0.568485i | ||||
\(65\) | 3.46594 | + | 3.63497i | 0.429897 | + | 0.450863i | ||||
\(66\) | 0.168007 | − | 0.235932i | 0.0206802 | − | 0.0290413i | ||||
\(67\) | −1.03715 | − | 2.59067i | −0.126708 | − | 0.316500i | 0.851427 | − | 0.524473i | \(-0.175738\pi\) |
−0.978135 | + | 0.207973i | \(0.933313\pi\) | |||||||
\(68\) | −6.55066 | + | 11.3461i | −0.794384 | + | 1.37591i | ||||
\(69\) | 4.78954 | − | 0.245556i | 0.576593 | − | 0.0295614i | ||||
\(70\) | −0.955634 | − | 0.308978i | −0.114220 | − | 0.0369299i | ||||
\(71\) | 1.06973 | − | 7.44011i | 0.126953 | − | 0.882979i | −0.822432 | − | 0.568864i | \(-0.807383\pi\) |
0.949385 | − | 0.314115i | \(-0.101708\pi\) | |||||||
\(72\) | 1.14022 | + | 0.108878i | 0.134376 | + | 0.0128314i | ||||
\(73\) | 11.5843 | − | 2.81033i | 1.35584 | − | 0.328924i | 0.508999 | − | 0.860767i | \(-0.330016\pi\) |
0.846843 | + | 0.531843i | \(0.178500\pi\) | |||||||
\(74\) | −1.40568 | − | 0.486510i | −0.163407 | − | 0.0565557i | ||||
\(75\) | 3.22355 | + | 0.782026i | 0.372224 | + | 0.0903005i | ||||
\(76\) | −9.19892 | − | 5.91179i | −1.05519 | − | 0.678128i | ||||
\(77\) | 1.93196 | + | 1.76800i | 0.220167 | + | 0.201482i | ||||
\(78\) | −0.741881 | + | 0.856176i | −0.0840014 | + | 0.0969428i | ||||
\(79\) | −0.687719 | + | 0.0327601i | −0.0773744 | + | 0.00368580i | −0.0862334 | − | 0.996275i | \(-0.527483\pi\) |
0.00885900 | + | 0.999961i | \(0.497180\pi\) | |||||||
\(80\) | 3.56253 | − | 2.80160i | 0.398303 | − | 0.313229i | ||||
\(81\) | −0.786053 | + | 0.618159i | −0.0873392 | + | 0.0686843i | ||||
\(82\) | 1.96355 | − | 0.0935355i | 0.216838 | − | 0.0103293i | ||||
\(83\) | 5.99182 | − | 6.91493i | 0.657687 | − | 0.759012i | −0.324710 | − | 0.945814i | \(-0.605267\pi\) |
0.982398 | + | 0.186802i | \(0.0598122\pi\) | |||||||
\(84\) | −1.09304 | + | 4.94562i | −0.119260 | + | 0.539611i | ||||
\(85\) | 7.46877 | + | 4.79989i | 0.810102 | + | 0.520621i | ||||
\(86\) | 1.40923 | + | 0.341877i | 0.151962 | + | 0.0368655i | ||||
\(87\) | 4.57747 | + | 1.58428i | 0.490756 | + | 0.169852i | ||||
\(88\) | 1.10179 | − | 0.267292i | 0.117452 | − | 0.0284935i | ||||
\(89\) | 0.895572 | + | 0.0855167i | 0.0949304 | + | 0.00906476i | 0.142413 | − | 0.989807i | \(-0.454514\pi\) |
−0.0474827 | + | 0.998872i | \(0.515120\pi\) | |||||||
\(90\) | 0.0540235 | − | 0.375742i | 0.00569458 | − | 0.0396067i | ||||
\(91\) | −6.86504 | − | 7.60228i | −0.719652 | − | 0.796935i | ||||
\(92\) | 7.23729 | + | 5.64914i | 0.754540 | + | 0.588963i | ||||
\(93\) | −3.36039 | + | 5.82037i | −0.348457 | + | 0.603545i | ||||
\(94\) | 0.146018 | + | 0.364736i | 0.0150606 | + | 0.0376197i | ||||
\(95\) | −4.29821 | + | 6.03600i | −0.440988 | + | 0.619280i | ||||
\(96\) | 2.28630 | + | 2.39780i | 0.233344 | + | 0.244724i | ||||
\(97\) | −9.96128 | − | 11.4959i | −1.01141 | − | 1.16723i | −0.985862 | − | 0.167561i | \(-0.946411\pi\) |
−0.0255531 | − | 0.999673i | \(-0.508135\pi\) | |||||||
\(98\) | 1.93117 | + | 0.682755i | 0.195078 | + | 0.0689687i | ||||
\(99\) | −0.535139 | + | 0.832693i | −0.0537835 | + | 0.0836888i | ||||
\(100\) | 3.68341 | + | 5.17263i | 0.368341 | + | 0.517263i | ||||
\(101\) | −2.18295 | + | 11.3262i | −0.217212 | + | 1.12700i | 0.695540 | + | 0.718487i | \(0.255165\pi\) |
−0.912752 | + | 0.408514i | \(0.866047\pi\) | |||||||
\(102\) | −0.917626 | + | 1.77995i | −0.0908585 | + | 0.176241i | ||||
\(103\) | −13.8035 | − | 5.52608i | −1.36010 | − | 0.544501i | −0.427041 | − | 0.904232i | \(-0.640444\pi\) |
−0.933056 | + | 0.359732i | \(0.882868\pi\) | |||||||
\(104\) | −4.38939 | + | 0.631100i | −0.430415 | + | 0.0618844i | ||||
\(105\) | 3.31237 | + | 0.899327i | 0.323255 | + | 0.0877653i | ||||
\(106\) | 2.73121 | + | 2.36661i | 0.265278 | + | 0.229865i | ||||
\(107\) | −5.59856 | + | 3.98672i | −0.541233 | + | 0.385411i | −0.817728 | − | 0.575605i | \(-0.804767\pi\) |
0.276494 | + | 0.961016i | \(0.410827\pi\) | |||||||
\(108\) | −1.91221 | − | 0.0910897i | −0.184002 | − | 0.00876511i | ||||
\(109\) | 8.92728 | − | 9.36266i | 0.855078 | − | 0.896780i | −0.140561 | − | 0.990072i | \(-0.544891\pi\) |
0.995639 | + | 0.0932920i | \(0.0297390\pi\) | |||||||
\(110\) | −0.0711098 | − | 0.368953i | −0.00678005 | − | 0.0351783i | ||||
\(111\) | 4.87751 | + | 1.43216i | 0.462952 | + | 0.135935i | ||||
\(112\) | −7.41785 | + | 5.51466i | −0.700921 | + | 0.521087i | ||||
\(113\) | 16.0744 | + | 2.31114i | 1.51215 | + | 0.217414i | 0.847924 | − | 0.530118i | \(-0.177853\pi\) |
0.664225 | + | 0.747533i | \(0.268762\pi\) | |||||||
\(114\) | −1.44748 | − | 0.835700i | −0.135568 | − | 0.0782705i | ||||
\(115\) | 4.05718 | − | 4.71667i | 0.378334 | − | 0.439832i | ||||
\(116\) | 4.63650 | + | 8.03066i | 0.430488 | + | 0.745628i | ||||
\(117\) | 2.39325 | − | 3.04326i | 0.221256 | − | 0.281350i | ||||
\(118\) | −1.98027 | + | 0.904359i | −0.182299 | + | 0.0832530i | ||||
\(119\) | −14.9612 | − | 10.1985i | −1.37149 | − | 0.934898i | ||||
\(120\) | 1.12298 | − | 0.973070i | 0.102514 | − | 0.0888288i | ||||
\(121\) | 2.36236 | − | 9.73779i | 0.214760 | − | 0.885254i | ||||
\(122\) | −0.0911468 | + | 1.91341i | −0.00825204 | + | 0.173232i | ||||
\(123\) | −6.68753 | + | 0.638581i | −0.602994 | + | 0.0575789i | ||||
\(124\) | −12.1585 | + | 4.20809i | −1.09186 | + | 0.377898i | ||||
\(125\) | 9.07677 | − | 5.83329i | 0.811851 | − | 0.521745i | ||||
\(126\) | −0.130914 | + | 0.763040i | −0.0116627 | + | 0.0679770i | ||||
\(127\) | 1.04343 | + | 7.25724i | 0.0925898 | + | 0.643976i | 0.982281 | + | 0.187413i | \(0.0600104\pi\) |
−0.889691 | + | 0.456562i | \(0.849081\pi\) | |||||||
\(128\) | 0.399073 | + | 8.37757i | 0.0352734 | + | 0.740480i | ||||
\(129\) | −4.86613 | − | 0.937869i | −0.428439 | − | 0.0825748i | ||||
\(130\) | 0.139701 | + | 1.46302i | 0.0122526 | + | 0.128315i | ||||
\(131\) | 6.52865 | + | 12.6638i | 0.570411 | + | 1.10644i | 0.980888 | + | 0.194572i | \(0.0623318\pi\) |
−0.410477 | + | 0.911871i | \(0.634638\pi\) | |||||||
\(132\) | −1.81814 | + | 0.533854i | −0.158249 | + | 0.0464660i | ||||
\(133\) | 9.09654 | − | 12.0680i | 0.788770 | − | 1.04643i | ||||
\(134\) | 0.230052 | − | 0.783485i | 0.0198735 | − | 0.0676828i | ||||
\(135\) | −0.123315 | + | 1.29141i | −0.0106132 | + | 0.111147i | ||||
\(136\) | −7.27726 | + | 2.91338i | −0.624020 | + | 0.249820i | ||||
\(137\) | −11.8673 | + | 6.85161i | −1.01390 | + | 0.585373i | −0.912330 | − | 0.409456i | \(-0.865718\pi\) |
−0.101565 | + | 0.994829i | \(0.532385\pi\) | |||||||
\(138\) | 1.14607 | + | 0.809867i | 0.0975597 | + | 0.0689404i | ||||
\(139\) | 15.4688i | 1.31204i | 0.754742 | + | 0.656022i | \(0.227762\pi\) | ||||
−0.754742 | + | 0.656022i | \(0.772238\pi\) | |||||||
\(140\) | 3.66486 | + | 5.45369i | 0.309738 | + | 0.460921i | ||||
\(141\) | −0.557755 | − | 1.22131i | −0.0469714 | − | 0.102853i | ||||
\(142\) | 1.59184 | − | 1.51782i | 0.133584 | − | 0.127372i | ||||
\(143\) | 1.25338 | − | 3.62141i | 0.104813 | − | 0.302837i | ||||
\(144\) | −2.52843 | − | 2.41085i | −0.210702 | − | 0.200904i | ||||
\(145\) | 5.58534 | − | 2.87944i | 0.463837 | − | 0.239125i | ||||
\(146\) | 3.17287 | + | 1.44900i | 0.262588 | + | 0.119920i | ||||
\(147\) | −6.70323 | − | 2.01661i | −0.552873 | − | 0.166327i | ||||
\(148\) | 5.26129 | + | 8.18672i | 0.432475 | + | 0.672944i | ||||
\(149\) | −2.32501 | + | 5.80761i | −0.190473 | + | 0.475778i | −0.992608 | − | 0.121365i | \(-0.961273\pi\) |
0.802135 | + | 0.597142i | \(0.203697\pi\) | |||||||
\(150\) | 0.600000 | + | 0.762961i | 0.0489898 | + | 0.0622955i | ||||
\(151\) | 17.1671 | + | 8.85027i | 1.39704 | + | 0.720225i | 0.981876 | − | 0.189522i | \(-0.0606938\pi\) |
0.415164 | + | 0.909747i | \(0.363724\pi\) | |||||||
\(152\) | −2.13984 | − | 6.18266i | −0.173564 | − | 0.501480i | ||||
\(153\) | 2.84295 | − | 6.22520i | 0.229839 | − | 0.503278i | ||||
\(154\) | 0.124572 | + | 0.756118i | 0.0100383 | + | 0.0609297i | ||||
\(155\) | 2.45636 | + | 8.36559i | 0.197300 | + | 0.671941i | ||||
\(156\) | 7.27770 | − | 1.40266i | 0.582683 | − | 0.112303i | ||||
\(157\) | 1.57956 | + | 6.51103i | 0.126062 | + | 0.519637i | 0.999467 | + | 0.0326414i | \(0.0103919\pi\) |
−0.873405 | + | 0.486995i | \(0.838093\pi\) | |||||||
\(158\) | −0.164109 | − | 0.116862i | −0.0130558 | − | 0.00929701i | ||||
\(159\) | −9.70803 | − | 7.63448i | −0.769897 | − | 0.605453i | ||||
\(160\) | 4.29802 | 0.339789 | ||||||||
\(161\) | −8.53220 | + | 9.39157i | −0.672431 | + | 0.740160i | ||||
\(162\) | −0.292616 | −0.0229901 | ||||||||
\(163\) | −7.51048 | − | 5.90630i | −0.588266 | − | 0.462617i | 0.279118 | − | 0.960257i | \(-0.409958\pi\) |
−0.867384 | + | 0.497639i | \(0.834200\pi\) | |||||||
\(164\) | −10.4760 | − | 7.45992i | −0.818038 | − | 0.582522i | ||||
\(165\) | 0.302734 | + | 1.24789i | 0.0235678 | + | 0.0971478i | ||||
\(166\) | 2.62898 | − | 0.506695i | 0.204049 | − | 0.0393271i | ||||
\(167\) | −2.70624 | − | 9.21659i | −0.209415 | − | 0.713201i | −0.995473 | − | 0.0950485i | \(-0.969699\pi\) |
0.786058 | − | 0.618153i | \(-0.212119\pi\) | |||||||
\(168\) | −2.34324 | + | 1.92171i | −0.180785 | + | 0.148263i | ||||
\(169\) | −0.826286 | + | 1.80931i | −0.0635605 | + | 0.139178i | ||||
\(170\) | 0.849686 | + | 2.45501i | 0.0651679 | + | 0.188290i | ||||
\(171\) | 5.07696 | + | 2.61736i | 0.388245 | + | 0.200154i | ||||
\(172\) | −5.86450 | − | 7.45732i | −0.447164 | − | 0.568615i | ||||
\(173\) | 6.82569 | − | 17.0497i | 0.518948 | − | 1.29627i | −0.405198 | − | 0.914229i | \(-0.632798\pi\) |
0.924146 | − | 0.382040i | \(-0.124778\pi\) | |||||||
\(174\) | 0.766302 | + | 1.19239i | 0.0580932 | + | 0.0903948i | ||||
\(175\) | −7.50885 | + | 4.54281i | −0.567616 | + | 0.343405i | ||||
\(176\) | −3.14554 | − | 1.43652i | −0.237104 | − | 0.108282i | ||||
\(177\) | 6.61275 | − | 3.40911i | 0.497045 | − | 0.256244i | ||||
\(178\) | 0.190523 | + | 0.181664i | 0.0142803 | + | 0.0136163i | ||||
\(179\) | 3.51825 | − | 10.1653i | 0.262966 | − | 0.759792i | −0.733795 | − | 0.679371i | \(-0.762253\pi\) |
0.996761 | − | 0.0804202i | \(-0.0256262\pi\) | |||||||
\(180\) | −1.79738 | + | 1.71380i | −0.133969 | + | 0.127739i | ||||
\(181\) | 2.48686 | + | 5.44546i | 0.184847 | + | 0.404758i | 0.979257 | − | 0.202624i | \(-0.0649469\pi\) |
−0.794410 | + | 0.607382i | \(0.792220\pi\) | |||||||
\(182\) | −0.203915 | − | 2.99038i | −0.0151152 | − | 0.221662i | ||||
\(183\) | − | 6.54638i | − | 0.483923i | ||||||
\(184\) | 1.31441 | + | 5.33361i | 0.0968994 | + | 0.393199i | ||||
\(185\) | 5.71112 | − | 3.29732i | 0.419890 | − | 0.242424i | ||||
\(186\) | −1.82574 | + | 0.730915i | −0.133870 | + | 0.0535933i | ||||
\(187\) | 0.643910 | − | 6.74333i | 0.0470874 | − | 0.493121i | ||||
\(188\) | 0.724144 | − | 2.46621i | 0.0528137 | − | 0.179867i | ||||
\(189\) | 0.322808 | − | 2.62598i | 0.0234808 | − | 0.191012i | ||||
\(190\) | −2.08045 | + | 0.610875i | −0.150932 | + | 0.0443175i | ||||
\(191\) | −11.1532 | − | 21.6342i | −0.807019 | − | 1.56540i | −0.824711 | − | 0.565555i | \(-0.808662\pi\) |
0.0176920 | − | 0.999843i | \(-0.494368\pi\) | |||||||
\(192\) | −0.572020 | − | 5.99046i | −0.0412820 | − | 0.432324i | ||||
\(193\) | 24.4691 | + | 4.71603i | 1.76132 | + | 0.339468i | 0.964367 | − | 0.264568i | \(-0.0852292\pi\) |
0.796958 | + | 0.604035i | \(0.206441\pi\) | |||||||
\(194\) | −0.211790 | − | 4.44603i | −0.0152057 | − | 0.319206i | ||||
\(195\) | −0.714780 | − | 4.97140i | −0.0511864 | − | 0.356010i | ||||
\(196\) | −7.17003 | − | 11.3211i | −0.512145 | − | 0.808651i | ||||
\(197\) | −1.14091 | + | 0.733218i | −0.0812865 | + | 0.0522396i | −0.580653 | − | 0.814151i | \(-0.697203\pi\) |
0.499366 | + | 0.866391i | \(0.333566\pi\) | |||||||
\(198\) | −0.273708 | + | 0.0947314i | −0.0194516 | + | 0.00673227i | ||||
\(199\) | 5.82157 | − | 0.555892i | 0.412680 | − | 0.0394062i | 0.113348 | − | 0.993555i | \(-0.463842\pi\) |
0.299332 | + | 0.954149i | \(0.403236\pi\) | |||||||
\(200\) | −0.180782 | + | 3.79508i | −0.0127832 | + | 0.268353i | ||||
\(201\) | −0.657899 | + | 2.71190i | −0.0464046 | + | 0.191282i | ||||
\(202\) | −2.55083 | + | 2.21030i | −0.179476 | + | 0.155516i | ||||
\(203\) | −11.5461 | + | 5.56151i | −0.810375 | + | 0.390341i | ||||
\(204\) | 11.9174 | − | 5.44248i | 0.834383 | − | 0.381050i | ||||
\(205\) | −5.38730 | + | 6.85051i | −0.376266 | + | 0.478461i | ||||
\(206\) | −2.17539 | − | 3.76788i | −0.151566 | − | 0.262520i | ||||
\(207\) | −4.04388 | − | 2.57818i | −0.281069 | − | 0.179196i | ||||
\(208\) | 11.7136 | + | 6.76284i | 0.812190 | + | 0.468918i | ||||
\(209\) | 5.59626 | + | 0.804620i | 0.387101 | + | 0.0556567i | ||||
\(210\) | 0.599211 | + | 0.806008i | 0.0413495 | + | 0.0556198i | ||||
\(211\) | 5.35232 | + | 1.57158i | 0.368469 | + | 0.108192i | 0.460725 | − | 0.887543i | \(-0.347590\pi\) |
−0.0922560 | + | 0.995735i | \(0.529408\pi\) | |||||||
\(212\) | −4.47451 | − | 23.2159i | −0.307310 | − | 1.59448i | ||||
\(213\) | −5.18706 | + | 5.44004i | −0.355412 | + | 0.372745i | ||||
\(214\) | −2.00886 | − | 0.0956940i | −0.137323 | − | 0.00654151i | ||||
\(215\) | −5.23685 | + | 3.72914i | −0.357150 | + | 0.254325i | ||||
\(216\) | −0.865642 | − | 0.750083i | −0.0588995 | − | 0.0510367i | ||||
\(217\) | −4.54524 | − | 17.1908i | −0.308551 | − | 1.16699i | ||||
\(218\) | 3.74692 | − | 0.538726i | 0.253774 | − | 0.0364872i | ||||
\(219\) | −11.0665 | − | 4.43034i | −0.747802 | − | 0.299375i | ||||
\(220\) | −1.12642 | + | 2.18495i | −0.0759432 | + | 0.147309i | ||||
\(221\) | −5.01434 | + | 26.0169i | −0.337301 | + | 1.75008i | ||||
\(222\) | 0.862828 | + | 1.21167i | 0.0579093 | + | 0.0813222i | ||||
\(223\) | 2.69748 | − | 4.19737i | 0.180637 | − | 0.281077i | −0.739113 | − | 0.673581i | \(-0.764755\pi\) |
0.919750 | + | 0.392505i | \(0.128391\pi\) | |||||||
\(224\) | −8.76241 | − | 0.237649i | −0.585463 | − | 0.0158786i | ||||
\(225\) | −2.17221 | − | 2.50686i | −0.144814 | − | 0.167124i | ||||
\(226\) | 3.27924 | + | 3.43917i | 0.218132 | + | 0.228770i | ||||
\(227\) | −1.94056 | + | 2.72513i | −0.128799 | + | 0.180873i | −0.873940 | − | 0.486034i | \(-0.838443\pi\) |
0.745140 | + | 0.666908i | \(0.232382\pi\) | |||||||
\(228\) | 4.06405 | + | 10.1515i | 0.269148 | + | 0.672299i | ||||
\(229\) | −2.38875 | + | 4.13744i | −0.157853 | + | 0.273410i | −0.934094 | − | 0.357027i | \(-0.883791\pi\) |
0.776241 | + | 0.630436i | \(0.217124\pi\) | |||||||
\(230\) | 1.78637 | − | 0.351013i | 0.117789 | − | 0.0231451i | ||||
\(231\) | −0.548186 | − | 2.56081i | −0.0360680 | − | 0.168489i | ||||
\(232\) | −0.789594 | + | 5.49175i | −0.0518394 | + | 0.360551i | ||||
\(233\) | 3.37136 | + | 0.321926i | 0.220865 | + | 0.0210900i | 0.204902 | − | 0.978783i | \(-0.434313\pi\) |
0.0159631 | + | 0.999873i | \(0.494919\pi\) | |||||||
\(234\) | 1.10095 | − | 0.267087i | 0.0719713 | − | 0.0174600i | ||||
\(235\) | −1.64599 | − | 0.569684i | −0.107373 | − | 0.0371621i | ||||
\(236\) | 13.8411 | + | 3.35781i | 0.900978 | + | 0.218575i | ||||
\(237\) | 0.579202 | + | 0.372231i | 0.0376232 | + | 0.0241790i | ||||
\(238\) | −1.59652 | − | 5.05201i | −0.103487 | − | 0.327473i | ||||
\(239\) | 3.85379 | − | 4.44752i | 0.249281 | − | 0.287686i | −0.617294 | − | 0.786733i | \(-0.711771\pi\) |
0.866575 | + | 0.499047i | \(0.166316\pi\) | |||||||
\(240\) | −4.52704 | + | 0.215649i | −0.292219 | + | 0.0139201i | ||||
\(241\) | −8.97969 | + | 7.06170i | −0.578432 | + | 0.454884i | −0.864012 | − | 0.503471i | \(-0.832056\pi\) |
0.285580 | + | 0.958355i | \(0.407814\pi\) | |||||||
\(242\) | 2.30477 | − | 1.81249i | 0.148156 | − | 0.116512i | ||||
\(243\) | 0.998867 | − | 0.0475819i | 0.0640774 | − | 0.00305238i | ||||
\(244\) | 8.20687 | − | 9.47123i | 0.525391 | − | 0.606334i | ||||
\(245\) | −7.89429 | + | 4.48825i | −0.504348 | + | 0.286744i | ||||
\(246\) | −1.65372 | − | 1.06278i | −0.105437 | − | 0.0677604i | ||||
\(247\) | −21.4908 | − | 5.21360i | −1.36742 | − | 0.331734i | ||||
\(248\) | −7.27466 | − | 2.51778i | −0.461941 | − | 0.159880i | ||||
\(249\) | −8.89184 | + | 2.15714i | −0.563498 | + | 0.136703i | ||||
\(250\) | 3.14291 | + | 0.300111i | 0.198775 | + | 0.0189807i | ||||
\(251\) | 0.815493 | − | 5.67188i | 0.0514735 | − | 0.358006i | −0.947764 | − | 0.318971i | \(-0.896663\pi\) |
0.999238 | − | 0.0390345i | \(-0.0124282\pi\) | |||||||
\(252\) | 3.75910 | − | 3.39456i | 0.236801 | − | 0.213837i | ||||
\(253\) | −4.61724 | − | 1.10243i | −0.290284 | − | 0.0693090i | ||||
\(254\) | −1.07271 | + | 1.85799i | −0.0673078 | + | 0.116581i | ||||
\(255\) | −3.29967 | − | 8.24219i | −0.206634 | − | 0.516146i | ||||
\(256\) | 5.55766 | − | 7.80464i | 0.347354 | − | 0.487790i | ||||
\(257\) | −11.2446 | − | 11.7930i | −0.701420 | − | 0.735628i | 0.272591 | − | 0.962130i | \(-0.412119\pi\) |
−0.974011 | + | 0.226502i | \(0.927271\pi\) | |||||||
\(258\) | −0.949621 | − | 1.09592i | −0.0591208 | − | 0.0682291i | ||||
\(259\) | −11.8256 | + | 6.40648i | −0.734808 | + | 0.398079i | ||||
\(260\) | 5.19826 | − | 8.08865i | 0.322382 | − | 0.501637i | ||||
\(261\) | −2.80972 | − | 3.94571i | −0.173918 | − | 0.244233i | ||||
\(262\) | −0.789005 | + | 4.09375i | −0.0487449 | + | 0.252913i | ||||
\(263\) | 10.5624 | − | 20.4881i | 0.651303 | − | 1.26335i | −0.299660 | − | 0.954046i | \(-0.596873\pi\) |
0.950963 | − | 0.309305i | \(-0.100096\pi\) | |||||||
\(264\) | −1.05254 | − | 0.421373i | −0.0647794 | − | 0.0259337i | ||||
\(265\) | −15.8588 | + | 2.28015i | −0.974199 | + | 0.140069i | ||||
\(266\) | 4.27520 | − | 1.13036i | 0.262129 | − | 0.0693069i | ||||
\(267\) | −0.679907 | − | 0.589143i | −0.0416096 | − | 0.0360549i | ||||
\(268\) | −4.35161 | + | 3.09877i | −0.265817 | + | 0.189287i | ||||
\(269\) | 7.95341 | + | 0.378867i | 0.484928 | + | 0.0231000i | 0.288623 | − | 0.957443i | \(-0.406803\pi\) |
0.196305 | + | 0.980543i | \(0.437106\pi\) | |||||||
\(270\) | −0.261958 | + | 0.274734i | −0.0159423 | + | 0.0167198i | ||||
\(271\) | 3.88589 | + | 20.1619i | 0.236051 | + | 1.22475i | 0.885607 | + | 0.464435i | \(0.153743\pi\) |
−0.649556 | + | 0.760314i | \(0.725045\pi\) | |||||||
\(272\) | 22.9404 | + | 6.73591i | 1.39097 | + | 0.408424i | ||||
\(273\) | 1.18234 | + | 10.1747i | 0.0715587 | + | 0.615804i | ||||
\(274\) | −3.96897 | − | 0.570651i | −0.239774 | − | 0.0344743i | ||||
\(275\) | −2.84342 | − | 1.64165i | −0.171465 | − | 0.0989953i | ||||
\(276\) | −2.61850 | − | 8.79970i | −0.157615 | − | 0.529679i | ||||
\(277\) | 9.04303 | + | 15.6630i | 0.543343 | + | 0.941098i | 0.998709 | + | 0.0507935i | \(0.0161750\pi\) |
−0.455366 | + | 0.890304i | \(0.650492\pi\) | |||||||
\(278\) | −2.79804 | + | 3.55800i | −0.167815 | + | 0.213395i | ||||
\(279\) | 6.11344 | − | 2.79192i | 0.366002 | − | 0.167148i | ||||
\(280\) | −0.293458 | + | 3.92041i | −0.0175375 | + | 0.234289i | ||||
\(281\) | 13.1832 | − | 11.4233i | 0.786444 | − | 0.681458i | −0.166015 | − | 0.986123i | \(-0.553090\pi\) |
0.952459 | + | 0.304666i | \(0.0985447\pi\) | |||||||
\(282\) | 0.0926247 | − | 0.381804i | 0.00551572 | − | 0.0227361i | ||||
\(283\) | −0.743577 | + | 15.6096i | −0.0442011 | + | 0.927895i | 0.862483 | + | 0.506085i | \(0.168908\pi\) |
−0.906684 | + | 0.421810i | \(0.861395\pi\) | |||||||
\(284\) | −14.3245 | + | 1.36782i | −0.850002 | + | 0.0811653i | ||||
\(285\) | 7.00244 | − | 2.42357i | 0.414789 | − | 0.143560i | ||||
\(286\) | 0.943344 | − | 0.606250i | 0.0557811 | − | 0.0358483i | ||||
\(287\) | 11.3619 | − | 13.6683i | 0.670672 | − | 0.806815i | ||||
\(288\) | −0.471503 | − | 3.27937i | −0.0277836 | − | 0.193239i | ||||
\(289\) | 1.41963 | + | 29.8017i | 0.0835076 | + | 1.75304i | ||||
\(290\) | 1.80553 | + | 0.347988i | 0.106025 | + | 0.0204346i | ||||
\(291\) | 1.44593 | + | 15.1424i | 0.0847617 | + | 0.887664i | ||||
\(292\) | −10.4567 | − | 20.2832i | −0.611934 | − | 1.18699i | ||||
\(293\) | −28.8690 | + | 8.47671i | −1.68655 | + | 0.495215i | −0.977675 | − | 0.210123i | \(-0.932614\pi\) |
−0.708872 | + | 0.705338i | \(0.750795\pi\) | |||||||
\(294\) | −1.17705 | − | 1.67635i | −0.0686469 | − | 0.0977664i | ||||
\(295\) | 2.71915 | − | 9.26057i | 0.158315 | − | 0.539171i | ||||
\(296\) | −0.553473 | + | 5.79623i | −0.0321699 | + | 0.336899i | ||||
\(297\) | 0.918921 | − | 0.367880i | 0.0533212 | − | 0.0213466i | ||||
\(298\) | −1.58528 | + | 0.915261i | −0.0918327 | + | 0.0530196i | ||||
\(299\) | 17.5681 | + | 6.00917i | 1.01599 | + | 0.347519i | ||||
\(300\) | − | 6.35009i | − | 0.366623i | ||||||
\(301\) | 10.8826 | − | 7.31306i | 0.627262 | − | 0.421518i | ||||
\(302\) | 2.34777 | + | 5.14091i | 0.135099 | + | 0.295826i | ||||
\(303\) | 8.34803 | − | 7.95983i | 0.479582 | − | 0.457280i | ||||
\(304\) | −6.52668 | + | 18.8576i | −0.374331 | + | 1.08156i | ||||
\(305\) | −6.14632 | − | 5.86051i | −0.351937 | − | 0.335572i | ||||
\(306\) | 1.77995 | − | 0.917626i | 0.101753 | − | 0.0524572i | ||||
\(307\) | −22.3283 | − | 10.1970i | −1.27434 | − | 0.581973i | −0.340697 | − | 0.940173i | \(-0.610663\pi\) |
−0.933645 | + | 0.358201i | \(0.883390\pi\) | |||||||
\(308\) | 2.41725 | − | 4.39219i | 0.137736 | − | 0.250268i | ||||
\(309\) | 8.03854 | + | 12.5082i | 0.457296 | + | 0.711567i | ||||
\(310\) | −0.948204 | + | 2.36850i | −0.0538543 | + | 0.134522i | ||||
\(311\) | −3.59406 | − | 4.57022i | −0.203801 | − | 0.259153i | 0.673399 | − | 0.739279i | \(-0.264834\pi\) |
−0.877200 | + | 0.480126i | \(0.840591\pi\) | |||||||
\(312\) | 3.94157 | + | 2.03202i | 0.223147 | + | 0.115040i | ||||
\(313\) | 1.32980 | + | 3.84221i | 0.0751649 | + | 0.217175i | 0.976324 | − | 0.216314i | \(-0.0694036\pi\) |
−0.901159 | + | 0.433489i | \(0.857282\pi\) | |||||||
\(314\) | −0.814418 | + | 1.78333i | −0.0459603 | + | 0.100639i | ||||
\(315\) | −2.17652 | − | 2.65394i | −0.122633 | − | 0.149532i | ||||
\(316\) | 0.371336 | + | 1.26466i | 0.0208893 | + | 0.0711424i | ||||
\(317\) | 19.8809 | − | 3.83173i | 1.11662 | − | 0.215211i | 0.402629 | − | 0.915363i | \(-0.368096\pi\) |
0.713994 | + | 0.700152i | \(0.246884\pi\) | |||||||
\(318\) | −0.852011 | − | 3.51204i | −0.0477784 | − | 0.196945i | ||||
\(319\) | −3.90555 | − | 2.78113i | −0.218669 | − | 0.155714i | ||||
\(320\) | −6.13646 | − | 4.82577i | −0.343039 | − | 0.269769i | ||||
\(321\) | 6.87298 | 0.383612 | ||||||||
\(322\) | −3.66128 | + | 0.616840i | −0.204035 | + | 0.0343752i | ||||
\(323\) | −39.0904 | −2.17505 | ||||||||
\(324\) | 1.50480 | + | 1.18339i | 0.0836001 | + | 0.0657438i | ||||
\(325\) | 10.4610 | + | 7.44922i | 0.580270 | + | 0.413208i | ||||
\(326\) | −0.659146 | − | 2.71704i | −0.0365067 | − | 0.150483i | ||||
\(327\) | −12.7028 | + | 2.44827i | −0.702468 | + | 0.135390i | ||||
\(328\) | −2.16787 | − | 7.38310i | −0.119701 | − | 0.407663i | ||||
\(329\) | 3.32420 | + | 1.25243i | 0.183269 | + | 0.0690486i | ||||
\(330\) | −0.156089 | + | 0.341788i | −0.00859243 | + | 0.0188148i | ||||
\(331\) | −2.90481 | − | 8.39289i | −0.159663 | − | 0.461315i | 0.836588 | − | 0.547833i | \(-0.184547\pi\) |
−0.996250 | + | 0.0865182i | \(0.972426\pi\) | |||||||
\(332\) | −15.5689 | − | 8.02633i | −0.854455 | − | 0.440502i | ||||
\(333\) | −3.14236 | − | 3.99584i | −0.172200 | − | 0.218971i | ||||
\(334\) | 1.04466 | − | 2.60944i | 0.0571613 | − | 0.142782i | ||||
\(335\) | 1.95720 | + | 3.04546i | 0.106933 | + | 0.166391i | ||||
\(336\) | 9.24122 | − | 0.189334i | 0.504150 | − | 0.0103290i | ||||
\(337\) | −5.68819 | − | 2.59771i | −0.309855 | − | 0.141506i | 0.254418 | − | 0.967094i | \(-0.418116\pi\) |
−0.564273 | + | 0.825588i | \(0.690843\pi\) | |||||||
\(338\) | −0.517330 | + | 0.266702i | −0.0281390 | + | 0.0145067i | ||||
\(339\) | −11.7532 | − | 11.2066i | −0.638346 | − | 0.608662i | ||||
\(340\) | 5.55888 | − | 16.0613i | 0.301473 | − | 0.871048i | ||||
\(341\) | 4.81457 | − | 4.59068i | 0.260723 | − | 0.248599i | ||||
\(342\) | 0.694325 | + | 1.52036i | 0.0375448 | + | 0.0822116i | ||||
\(343\) | 16.3423 | − | 8.71373i | 0.882401 | − | 0.470497i | ||||
\(344\) | − | 5.67628i | − | 0.306045i | ||||||
\(345\) | −6.04082 | + | 1.48869i | −0.325227 | + | 0.0801484i | ||||
\(346\) | 4.65400 | − | 2.68699i | 0.250201 | − | 0.144453i | ||||
\(347\) | −31.5826 | + | 12.6438i | −1.69544 | + | 0.678754i | −0.999236 | − | 0.0390857i | \(-0.987555\pi\) |
−0.696209 | + | 0.717839i | \(0.745131\pi\) | |||||||
\(348\) | 0.881455 | − | 9.23101i | 0.0472509 | − | 0.494834i | ||||
\(349\) | 2.69131 | − | 9.16575i | 0.144062 | − | 0.490631i | −0.855572 | − | 0.517684i | \(-0.826794\pi\) |
0.999634 | + | 0.0270531i | \(0.00861232\pi\) | |||||||
\(350\) | −2.54884 | − | 0.313325i | −0.136241 | − | 0.0167479i | ||||
\(351\) | −3.71475 | + | 1.09075i | −0.198278 | + | 0.0582198i | ||||
\(352\) | −1.50270 | − | 2.91483i | −0.0800942 | − | 0.155361i | ||||
\(353\) | −2.75391 | − | 28.8402i | −0.146576 | − | 1.53501i | −0.707244 | − | 0.706969i | \(-0.750062\pi\) |
0.560669 | − | 0.828040i | \(-0.310544\pi\) | |||||||
\(354\) | 2.13766 | + | 0.412000i | 0.113615 | + | 0.0218976i | ||||
\(355\) | 0.463980 | + | 9.74014i | 0.0246255 | + | 0.516953i | ||||
\(356\) | −0.245103 | − | 1.70473i | −0.0129904 | − | 0.0903505i | ||||
\(357\) | 6.27133 | + | 16.9858i | 0.331914 | + | 0.898986i | ||||
\(358\) | 2.64797 | − | 1.70175i | 0.139950 | − | 0.0899402i | ||||
\(359\) | −10.1154 | + | 3.50099i | −0.533873 | + | 0.184775i | −0.580685 | − | 0.814129i | \(-0.697215\pi\) |
0.0468119 | + | 0.998904i | \(0.485094\pi\) | |||||||
\(360\) | −1.47919 | + | 0.141246i | −0.0779602 | + | 0.00744430i | ||||
\(361\) | 0.648357 | − | 13.6107i | 0.0341240 | − | 0.716352i | ||||
\(362\) | −0.412986 | + | 1.70235i | −0.0217061 | + | 0.0894736i | ||||
\(363\) | −7.57280 | + | 6.56187i | −0.397469 | + | 0.344409i | ||||
\(364\) | −11.0450 | + | 16.2030i | −0.578914 | + | 0.849266i | ||||
\(365\) | −14.0666 | + | 6.42400i | −0.736279 | + | 0.336247i | ||||
\(366\) | 1.18413 | − | 1.50574i | 0.0618955 | − | 0.0787065i | ||||
\(367\) | 7.14205 | + | 12.3704i | 0.372812 | + | 0.645729i | 0.989997 | − | 0.141089i | \(-0.0450603\pi\) |
−0.617185 | + | 0.786818i | \(0.711727\pi\) | |||||||
\(368\) | 6.90485 | − | 15.2657i | 0.359940 | − | 0.795779i | ||||
\(369\) | 5.81791 | + | 3.35897i | 0.302868 | + | 0.174861i | ||||
\(370\) | 1.91005 | + | 0.274624i | 0.0992990 | + | 0.0142770i | ||||
\(371\) | 32.4575 | − | 3.77169i | 1.68511 | − | 0.195816i | ||||
\(372\) | 12.3449 | + | 3.62480i | 0.640056 | + | 0.187937i | ||||
\(373\) | 1.13347 | + | 5.88101i | 0.0586889 | + | 0.304507i | 0.999397 | − | 0.0347089i | \(-0.0110504\pi\) |
−0.940709 | + | 0.339216i | \(0.889838\pi\) | |||||||
\(374\) | 1.36786 | − | 1.43457i | 0.0707305 | − | 0.0741800i | ||||
\(375\) | −10.7774 | − | 0.513389i | −0.556540 | − | 0.0265113i | ||||
\(376\) | 1.25272 | − | 0.892056i | 0.0646039 | − | 0.0460043i | ||||
\(377\) | 14.1729 | + | 12.2809i | 0.729941 | + | 0.632497i | ||||
\(378\) | 0.549246 | − | 0.545617i | 0.0282502 | − | 0.0280635i | ||||
\(379\) | 15.6248 | − | 2.24650i | 0.802591 | − | 0.115395i | 0.271201 | − | 0.962523i | \(-0.412579\pi\) |
0.531389 | + | 0.847128i | \(0.321670\pi\) | |||||||
\(380\) | 13.1694 | + | 5.27222i | 0.675574 | + | 0.270459i | ||||
\(381\) | 3.35966 | − | 6.51682i | 0.172120 | − | 0.333867i | ||||
\(382\) | 1.34790 | − | 6.99356i | 0.0689644 | − | 0.357821i | ||||
\(383\) | −11.3822 | − | 15.9840i | −0.581602 | − | 0.816746i | 0.414015 | − | 0.910270i | \(-0.364126\pi\) |
−0.995617 | + | 0.0935244i | \(0.970187\pi\) | |||||||
\(384\) | 4.53439 | − | 7.05565i | 0.231395 | − | 0.360057i | ||||
\(385\) | −2.89507 | − | 1.77782i | −0.147546 | − | 0.0906063i | ||||
\(386\) | 4.77513 | + | 5.51079i | 0.243048 | + | 0.280492i | ||||
\(387\) | 3.41981 | + | 3.58660i | 0.173839 | + | 0.182317i | ||||
\(388\) | −16.8913 | + | 23.7206i | −0.857528 | + | 1.20423i | ||||
\(389\) | 10.0933 | + | 25.2118i | 0.511751 | + | 1.27829i | 0.929195 | + | 0.369589i | \(0.120501\pi\) |
−0.417445 | + | 0.908702i | \(0.637074\pi\) | |||||||
\(390\) | 0.734835 | − | 1.27277i | 0.0372098 | − | 0.0644493i | ||||
\(391\) | 32.6835 | + | 3.00139i | 1.65287 | + | 0.151787i | ||||
\(392\) | 0.815044 | − | 7.97633i | 0.0411659 | − | 0.402865i | ||||
\(393\) | 2.02765 | − | 14.1026i | 0.102282 | − | 0.711384i | ||||
\(394\) | −0.395049 | − | 0.0377226i | −0.0199023 | − | 0.00190044i | ||||
\(395\) | 0.868001 | − | 0.210575i | 0.0436739 | − | 0.0105952i | ||||
\(396\) | 1.79068 | + | 0.619760i | 0.0899849 | + | 0.0311441i | ||||
\(397\) | −14.5918 | − | 3.53994i | −0.732343 | − | 0.177665i | −0.147789 | − | 0.989019i | \(-0.547216\pi\) |
−0.584554 | + | 0.811354i | \(0.698731\pi\) | |||||||
\(398\) | 1.43958 | + | 0.925162i | 0.0721596 | + | 0.0463742i | ||||
\(399\) | −14.4099 | + | 4.55376i | −0.721399 | + | 0.227973i | ||||
\(400\) | 7.58880 | − | 8.75795i | 0.379440 | − | 0.437897i | ||||
\(401\) | 7.40377 | − | 0.352685i | 0.369726 | − | 0.0176122i | 0.138103 | − | 0.990418i | \(-0.455899\pi\) |
0.231623 | + | 0.972806i | \(0.425596\pi\) | |||||||
\(402\) | −0.641861 | + | 0.504765i | −0.0320131 | + | 0.0251754i | ||||
\(403\) | −20.4531 | + | 16.0845i | −1.01884 | + | 0.801226i | ||||
\(404\) | 22.0567 | − | 1.05069i | 1.09736 | − | 0.0522737i | ||||
\(405\) | 0.849540 | − | 0.980421i | 0.0422140 | − | 0.0487175i | ||||
\(406\) | −3.66171 | − | 0.809278i | −0.181728 | − | 0.0401638i | ||||
\(407\) | −4.23293 | − | 2.72034i | −0.209818 | − | 0.134842i | ||||
\(408\) | 7.61781 | + | 1.84806i | 0.377138 | + | 0.0914926i | ||||
\(409\) | 27.0539 | + | 9.36346i | 1.33773 | + | 0.462993i | 0.899913 | − | 0.436070i | \(-0.143630\pi\) |
0.437819 | + | 0.899063i | \(0.355751\pi\) | |||||||
\(410\) | −2.47829 | + | 0.601225i | −0.122394 | + | 0.0296924i | ||||
\(411\) | 13.6412 | + | 1.30257i | 0.672869 | + | 0.0642512i | ||||
\(412\) | −4.05085 | + | 28.1742i | −0.199571 | + | 1.38805i | ||||
\(413\) | −6.05558 | + | 18.7292i | −0.297976 | + | 0.921605i | ||||
\(414\) | −0.463790 | − | 1.32448i | −0.0227940 | − | 0.0650947i | ||||
\(415\) | −5.93492 | + | 10.2796i | −0.291334 | + | 0.504604i | ||||
\(416\) | 4.76727 | + | 11.9081i | 0.233735 | + | 0.583841i | ||||
\(417\) | 8.97277 | − | 12.6005i | 0.439398 | − | 0.617049i | ||||
\(418\) | 1.14166 | + | 1.19734i | 0.0558405 | + | 0.0585638i | ||||
\(419\) | −11.0644 | − | 12.7691i | −0.540534 | − | 0.623809i | 0.418118 | − | 0.908393i | \(-0.362690\pi\) |
−0.958651 | + | 0.284584i | \(0.908145\pi\) | |||||||
\(420\) | 0.178141 | − | 6.56828i | 0.00869239 | − | 0.320499i | ||||
\(421\) | −13.6493 | + | 21.2387i | −0.665227 | + | 1.03511i | 0.330593 | + | 0.943773i | \(0.392751\pi\) |
−0.995820 | + | 0.0913394i | \(0.970885\pi\) | |||||||
\(422\) | 0.946822 | + | 1.32963i | 0.0460906 | + | 0.0647252i | ||||
\(423\) | −0.254097 | + | 1.31838i | −0.0123546 | + | 0.0641019i | ||||
\(424\) | 6.48216 | − | 12.5736i | 0.314801 | − | 0.610630i | ||||
\(425\) | 21.0747 | + | 8.43702i | 1.02227 | + | 0.409256i | ||||
\(426\) | −2.17710 | + | 0.313019i | −0.105481 | + | 0.0151658i | ||||
\(427\) | 12.2065 | + | 12.2877i | 0.590714 | + | 0.594643i | ||||
\(428\) | 9.94375 | + | 8.61631i | 0.480649 | + | 0.416485i | ||||
\(429\) | −3.12160 | + | 2.22288i | −0.150712 | + | 0.107322i | ||||
\(430\) | −1.87907 | − | 0.0895113i | −0.0906170 | − | 0.00431662i | ||||
\(431\) | −19.6959 | + | 20.6565i | −0.948720 | + | 0.994989i | −0.999993 | − | 0.00369608i | \(-0.998823\pi\) |
0.0512735 | + | 0.998685i | \(0.483672\pi\) | |||||||
\(432\) | 0.661166 | + | 3.43045i | 0.0318104 | + | 0.165048i | ||||
\(433\) | −7.82111 | − | 2.29649i | −0.375859 | − | 0.110362i | 0.0883464 | − | 0.996090i | \(-0.471842\pi\) |
−0.464205 | + | 0.885728i | \(0.653660\pi\) | |||||||
\(434\) | 2.06407 | − | 4.77624i | 0.0990785 | − | 0.229267i | ||||
\(435\) | −6.21992 | − | 0.894290i | −0.298222 | − | 0.0428779i | ||||
\(436\) | −21.4476 | − | 12.3828i | −1.02715 | − | 0.593027i | ||||
\(437\) | −3.80019 | + | 27.1286i | −0.181788 | + | 1.29774i | ||||
\(438\) | −1.74404 | − | 3.02077i | −0.0833334 | − | 0.144338i | ||||
\(439\) | −6.63160 | + | 8.43276i | −0.316509 | + | 0.402474i | −0.918112 | − | 0.396321i | \(-0.870287\pi\) |
0.601603 | + | 0.798795i | \(0.294529\pi\) | |||||||
\(440\) | −1.33789 | + | 0.610992i | −0.0637812 | + | 0.0291279i | ||||
\(441\) | 4.29054 | + | 5.53094i | 0.204311 | + | 0.263378i | ||||
\(442\) | −5.85937 | + | 5.07717i | −0.278702 | + | 0.241496i | ||||
\(443\) | −1.58213 | + | 6.52162i | −0.0751692 | + | 0.309852i | −0.996968 | − | 0.0778180i | \(-0.975205\pi\) |
0.921798 | + | 0.387670i | \(0.126720\pi\) | |||||||
\(444\) | 0.463047 | − | 9.72055i | 0.0219752 | − | 0.461317i | ||||
\(445\) | −1.16181 | + | 0.110939i | −0.0550751 | + | 0.00525903i | ||||
\(446\) | 1.37969 | − | 0.477514i | 0.0653300 | − | 0.0226109i | ||||
\(447\) | 5.26264 | − | 3.38210i | 0.248914 | − | 0.159968i | ||||
\(448\) | 12.2436 | + | 10.1776i | 0.578456 | + | 0.480847i | ||||
\(449\) | 0.443774 | + | 3.08651i | 0.0209430 | + | 0.145662i | 0.997610 | − | 0.0690983i | \(-0.0220122\pi\) |
−0.976667 | + | 0.214760i | \(0.931103\pi\) | |||||||
\(450\) | −0.0461841 | − | 0.969524i | −0.00217714 | − | 0.0457038i | ||||
\(451\) | 6.52942 | + | 1.25844i | 0.307458 | + | 0.0592577i | ||||
\(452\) | −2.95518 | − | 30.9480i | −0.139000 | − | 1.45567i | ||||
\(453\) | −8.85027 | − | 17.1671i | −0.415822 | − | 0.806582i | ||||
\(454\) | −0.939282 | + | 0.275798i | −0.0440827 | + | 0.0129438i | ||||
\(455\) | 10.6114 | + | 7.99863i | 0.497471 | + | 0.374982i | ||||
\(456\) | −1.84323 | + | 6.27747i | −0.0863173 | + | 0.293970i | ||||
\(457\) | 1.03380 | − | 10.8265i | 0.0483593 | − | 0.506442i | −0.938548 | − | 0.345150i | \(-0.887828\pi\) |
0.986907 | − | 0.161291i | \(-0.0515659\pi\) | |||||||
\(458\) | −1.29783 | + | 0.519574i | −0.0606437 | + | 0.0242781i | ||||
\(459\) | −5.92677 | + | 3.42182i | −0.276638 | + | 0.159717i | ||||
\(460\) | −10.6061 | − | 5.41925i | −0.494511 | − | 0.252674i | ||||
\(461\) | 10.5408i | 0.490935i | 0.969405 | + | 0.245467i | \(0.0789414\pi\) | ||||
−0.969405 | + | 0.245467i | \(0.921059\pi\) | |||||||
\(462\) | 0.337118 | − | 0.688174i | 0.0156842 | − | 0.0320168i | ||||
\(463\) | 0.406266 | + | 0.889598i | 0.0188808 | + | 0.0413431i | 0.918837 | − | 0.394636i | \(-0.129129\pi\) |
−0.899957 | + | 0.435979i | \(0.856402\pi\) | |||||||
\(464\) | 12.2474 | − | 11.6779i | 0.568571 | − | 0.542131i | ||||
\(465\) | 2.85163 | − | 8.23924i | 0.132241 | − | 0.382086i | ||||
\(466\) | 0.717220 | + | 0.683868i | 0.0332246 | + | 0.0316796i | ||||
\(467\) | 5.84433 | − | 3.01296i | 0.270443 | − | 0.139423i | −0.317671 | − | 0.948201i | \(-0.602901\pi\) |
0.588114 | + | 0.808778i | \(0.299870\pi\) | |||||||
\(468\) | −6.74187 | − | 3.07891i | −0.311643 | − | 0.142323i | ||||
\(469\) | −3.82176 | − | 6.31701i | −0.176472 | − | 0.291693i | ||||
\(470\) | −0.275551 | − | 0.428766i | −0.0127102 | − | 0.0197775i | ||||
\(471\) | 2.49010 | − | 6.21996i | 0.114738 | − | 0.286601i | ||||
\(472\) | 5.26771 | + | 6.69843i | 0.242466 | + | 0.308320i | ||||
\(473\) | 4.35996 | + | 2.24772i | 0.200471 | + | 0.103350i | ||||
\(474\) | 0.0658930 | + | 0.190385i | 0.00302656 | + | 0.00874468i | ||||
\(475\) | −7.87078 | + | 17.2346i | −0.361136 | + | 0.790778i | ||||
\(476\) | −12.2210 | + | 32.4370i | −0.560149 | + | 1.48675i | ||||
\(477\) | 3.47949 | + | 11.8501i | 0.159315 | + | 0.542577i | ||||
\(478\) | 1.69090 | − | 0.325894i | 0.0773399 | − | 0.0149060i | ||||
\(479\) | −3.91748 | − | 16.1481i | −0.178994 | − | 0.737825i | −0.988564 | − | 0.150801i | \(-0.951815\pi\) |
0.809570 | − | 0.587024i | \(-0.199701\pi\) | |||||||
\(480\) | −3.50107 | − | 2.49310i | −0.159801 | − | 0.113794i | ||||
\(481\) | 15.4702 | + | 12.1659i | 0.705379 | + | 0.554716i | ||||
\(482\) | −3.34278 | −0.152259 | ||||||||
\(483\) | 12.3978 | − | 2.70099i | 0.564118 | − | 0.122899i | ||||
\(484\) | −19.1825 | −0.871933 | ||||||||
\(485\) | 15.5115 | + | 12.1984i | 0.704339 | + | 0.553899i | ||||
\(486\) | 0.238358 | + | 0.169734i | 0.0108121 | + | 0.00769928i | ||||
\(487\) | 4.98421 | + | 20.5452i | 0.225856 | + | 0.930992i | 0.966000 | + | 0.258543i | \(0.0832423\pi\) |
−0.740144 | + | 0.672449i | \(0.765243\pi\) | |||||||
\(488\) | 7.36278 | − | 1.41906i | 0.333297 | − | 0.0642378i | ||||
\(489\) | 2.69186 | + | 9.16764i | 0.121730 | + | 0.414575i | ||||
\(490\) | −2.62763 | − | 0.395593i | −0.118704 | − | 0.0178711i | ||||
\(491\) | −4.24520 | + | 9.29569i | −0.191583 | + | 0.419509i | −0.980909 | − | 0.194465i | \(-0.937703\pi\) |
0.789326 | + | 0.613974i | \(0.210430\pi\) | |||||||
\(492\) | 4.20631 | + | 12.1533i | 0.189635 | + | 0.547915i | ||||
\(493\) | 29.4647 | + | 15.1901i | 1.32702 | + | 0.684128i | ||||
\(494\) | −4.00007 | − | 5.08651i | −0.179972 | − | 0.228853i | ||||
\(495\) | 0.477245 | − | 1.19210i | 0.0214506 | − | 0.0535809i | ||||
\(496\) | 12.6941 | + | 19.7523i | 0.569980 | + | 0.886906i | ||||
\(497\) | −0.407361 | − | 19.8829i | −0.0182727 | − | 0.891872i | ||||
\(498\) | −2.43542 | − | 1.11222i | −0.109134 | − | 0.0498397i | ||||
\(499\) | 31.0064 | − | 15.9849i | 1.38804 | − | 0.715582i | 0.407737 | − | 0.913100i | \(-0.366318\pi\) |
0.980299 | + | 0.197517i | \(0.0632878\pi\) | |||||||
\(500\) | −14.9489 | − | 14.2538i | −0.668537 | − | 0.637449i | ||||
\(501\) | −3.14171 | + | 9.07739i | −0.140361 | + | 0.405548i | ||||
\(502\) | 1.21352 | − | 1.15709i | 0.0541620 | − | 0.0516434i | ||||
\(503\) | −14.2905 | − | 31.2918i | −0.637181 | − | 1.39523i | −0.902339 | − | 0.431027i | \(-0.858151\pi\) |
0.265158 | − | 0.964205i | \(-0.414576\pi\) | |||||||
\(504\) | 3.02345 | − | 0.206170i | 0.134675 | − | 0.00918354i | ||||
\(505\) | − | 14.9637i | − | 0.665877i | ||||||
\(506\) | −0.862609 | − | 1.08875i | −0.0383477 | − | 0.0484010i | ||||
\(507\) | 1.72258 | − | 0.994531i | 0.0765024 | − | 0.0441687i | ||||
\(508\) | 13.0305 | − | 5.21664i | 0.578136 | − | 0.231451i | ||||
\(509\) | −1.98739 | + | 20.8129i | −0.0880893 | + | 0.922513i | 0.838116 | + | 0.545493i | \(0.183657\pi\) |
−0.926205 | + | 0.377021i | \(0.876949\pi\) | |||||||
\(510\) | 0.731909 | − | 2.49265i | 0.0324095 | − | 0.110377i | ||||
\(511\) | 29.0328 | − | 12.3189i | 1.28434 | − | 0.544954i | ||||
\(512\) | 18.7847 | − | 5.51569i | 0.830175 | − | 0.243761i | ||||
\(513\) | −2.61736 | − | 5.07696i | −0.115559 | − | 0.224153i | ||||
\(514\) | −0.453235 | − | 4.74649i | −0.0199913 | − | 0.209359i | ||||
\(515\) | 18.9401 | + | 3.65041i | 0.834602 | + | 0.160856i | ||||
\(516\) | 0.451411 | + | 9.47629i | 0.0198723 | + | 0.417171i | ||||
\(517\) | 0.189134 | + | 1.31545i | 0.00831809 | + | 0.0578536i | ||||
\(518\) | −3.87885 | − | 0.665490i | −0.170427 | − | 0.0292399i | ||||
\(519\) | −15.4499 | + | 9.92903i | −0.678174 | + | 0.435836i | ||||
\(520\) | 5.43644 | − | 1.88157i | 0.238404 | − | 0.0825123i | ||||
\(521\) | 25.7190 | − | 2.45587i | 1.12677 | − | 0.107594i | 0.485017 | − | 0.874505i | \(-0.338813\pi\) |
0.641753 | + | 0.766911i | \(0.278207\pi\) | |||||||
\(522\) | 0.0674424 | − | 1.41579i | 0.00295187 | − | 0.0619674i | ||||
\(523\) | −10.4426 | + | 43.0451i | −0.456624 | + | 1.88223i | 0.0140077 | + | 0.999902i | \(0.495541\pi\) |
−0.470632 | + | 0.882330i | \(0.655974\pi\) | |||||||
\(524\) | 20.6133 | − | 17.8616i | 0.900498 | − | 0.780286i | ||||
\(525\) | 8.75162 | + | 0.655094i | 0.381952 | + | 0.0285906i | ||||
\(526\) | 6.13542 | − | 2.80195i | 0.267517 | − | 0.122171i | ||||
\(527\) | −28.4320 | + | 36.1543i | −1.23852 | + | 1.57490i | ||||
\(528\) | 1.72902 | + | 2.99475i | 0.0752459 | + | 0.130330i | ||||
\(529\) | 5.26029 | − | 22.3904i | 0.228708 | − | 0.973495i | ||||
\(530\) | −4.06015 | − | 2.34413i | −0.176362 | − | 0.101823i | ||||
\(531\) | −7.36407 | − | 1.05879i | −0.319573 | − | 0.0459477i | ||||
\(532\) | −26.5569 | − | 11.4767i | −1.15139 | − | 0.497577i | ||||
\(533\) | −24.9555 | − | 7.32758i | −1.08094 | − | 0.317393i | ||||
\(534\) | −0.0498205 | − | 0.258493i | −0.00215594 | − | 0.0111861i | ||||
\(535\) | 6.15288 | − | 6.45296i | 0.266012 | − | 0.278986i | ||||
\(536\) | −3.19271 | − | 0.152087i | −0.137904 | − | 0.00656918i | ||||
\(537\) | −8.76235 | + | 6.23964i | −0.378123 | + | 0.269260i | ||||
\(538\) | 1.76084 | + | 1.52578i | 0.0759154 | + | 0.0657811i | ||||
\(539\) | 5.80389 | + | 3.78454i | 0.249991 | + | 0.163011i | ||||
\(540\) | 2.45821 | − | 0.353437i | 0.105784 | − | 0.0152095i | ||||
\(541\) | 23.8415 | + | 9.54470i | 1.02503 | + | 0.410359i | 0.822408 | − | 0.568899i | \(-0.192630\pi\) |
0.202619 | + | 0.979258i | \(0.435055\pi\) | |||||||
\(542\) | −2.75315 | + | 5.34036i | −0.118258 | + | 0.229388i | ||||
\(543\) | 1.13294 | − | 5.87826i | 0.0486192 | − | 0.252260i | ||||
\(544\) | 13.1520 | + | 18.4694i | 0.563888 | + | 0.791870i | ||||
\(545\) | −9.07327 | + | 14.1183i | −0.388656 | + | 0.604761i | ||||
\(546\) | −1.56849 | + | 2.55418i | −0.0671251 | + | 0.109309i | ||||
\(547\) | −24.0635 | − | 27.7707i | −1.02888 | − | 1.18739i | −0.982076 | − | 0.188486i | \(-0.939642\pi\) |
−0.0468032 | − | 0.998904i | \(-0.514903\pi\) | |||||||
\(548\) | 18.1029 | + | 18.9858i | 0.773319 | + | 0.811033i | ||||
\(549\) | −3.79728 | + | 5.33253i | −0.162064 | + | 0.227587i | ||||
\(550\) | −0.357073 | − | 0.891926i | −0.0152257 | − | 0.0380319i | ||||
\(551\) | −13.8339 | + | 23.9611i | −0.589346 | + | 1.02078i | ||||
\(552\) | 2.02311 | − | 5.10706i | 0.0861095 | − | 0.217371i | ||||
\(553\) | −1.78124 | + | 0.381306i | −0.0757461 | + | 0.0162148i | ||||
\(554\) | −0.753168 | + | 5.23840i | −0.0319991 | + | 0.222558i | ||||
\(555\) | −6.56477 | − | 0.626860i | −0.278659 | − | 0.0266087i | ||||
\(556\) | 28.7783 | − | 6.98154i | 1.22047 | − | 0.296083i | ||||
\(557\) | −38.1847 | − | 13.2158i | −1.61794 | − | 0.559974i | −0.639910 | − | 0.768450i | \(-0.721028\pi\) |
−0.978027 | + | 0.208476i | \(0.933150\pi\) | |||||||
\(558\) | 1.91117 | + | 0.463646i | 0.0809064 | + | 0.0196277i | ||||
\(559\) | −16.1405 | − | 10.3729i | −0.682671 | − | 0.438726i | ||||
\(560\) | 8.09524 | − | 8.84597i | 0.342086 | − | 0.373811i | ||||
\(561\) | −4.43603 | + | 5.11945i | −0.187289 | + | 0.216143i | ||||
\(562\) | 5.09857 | − | 0.242875i | 0.215070 | − | 0.0102451i | ||||
\(563\) | −4.30900 | + | 3.38864i | −0.181603 | + | 0.142814i | −0.704822 | − | 0.709384i | \(-0.748973\pi\) |
0.523219 | + | 0.852198i | \(0.324731\pi\) | |||||||
\(564\) | −2.02041 | + | 1.58887i | −0.0850747 | + | 0.0669035i | ||||
\(565\) | −21.0436 | + | 1.00243i | −0.885310 | + | 0.0421725i | ||||
\(566\) | −2.99455 | + | 3.45589i | −0.125870 | + | 0.145262i | ||||
\(567\) | −1.78617 | + | 1.95182i | −0.0750122 | + | 0.0819686i | ||||
\(568\) | −7.24286 | − | 4.65470i | −0.303904 | − | 0.195307i | ||||
\(569\) | −6.98205 | − | 1.69383i | −0.292703 | − | 0.0710089i | 0.0867188 | − | 0.996233i | \(-0.472362\pi\) |
−0.379422 | + | 0.925224i | \(0.623877\pi\) | |||||||
\(570\) | 2.04903 | + | 0.709175i | 0.0858243 | + | 0.0297041i | ||||
\(571\) | 37.3253 | − | 9.05503i | 1.56202 | − | 0.378941i | 0.640712 | − | 0.767781i | \(-0.278639\pi\) |
0.921305 | + | 0.388840i | \(0.127124\pi\) | |||||||
\(572\) | −7.30300 | − | 0.697352i | −0.305354 | − | 0.0291578i | ||||
\(573\) | −3.46394 | + | 24.0922i | −0.144708 | + | 1.00647i | ||||
\(574\) | 5.08574 | − | 1.08869i | 0.212275 | − | 0.0454411i | ||||
\(575\) | 7.90404 | − | 13.8055i | 0.329621 | − | 0.575729i | ||||
\(576\) | −3.00885 | + | 5.21149i | −0.125369 | + | 0.217145i | ||||
\(577\) | −8.74537 | − | 21.8449i | −0.364075 | − | 0.909415i | −0.991425 | − | 0.130677i | \(-0.958285\pi\) |
0.627350 | − | 0.778737i | \(-0.284139\pi\) | |||||||
\(578\) | −5.06409 | + | 7.11152i | −0.210639 | + | 0.295800i | ||||
\(579\) | −17.1964 | − | 18.0350i | −0.714657 | − | 0.749511i | ||||
\(580\) | −7.87779 | − | 9.09145i | −0.327107 | − | 0.377502i | ||||
\(581\) | 12.6679 | − | 20.6289i | 0.525554 | − | 0.855830i | ||||
\(582\) | −2.40643 | + | 3.74448i | −0.0997497 | + | 0.155214i | ||||
\(583\) | 7.09100 | + | 9.95792i | 0.293679 | + | 0.412415i | ||||
\(584\) | 2.58397 | − | 13.4069i | 0.106925 | − | 0.554782i | ||||
\(585\) | −2.30145 | + | 4.46420i | −0.0951534 | + | 0.184572i | ||||
\(586\) | −8.17351 | − | 3.27218i | −0.337644 | − | 0.135172i | ||||
\(587\) | 13.0223 | − | 1.87233i | 0.537489 | − | 0.0772792i | 0.131776 | − | 0.991280i | \(-0.457932\pi\) |
0.405713 | + | 0.914000i | \(0.367023\pi\) | |||||||
\(588\) | −0.726354 | + | 13.3809i | −0.0299543 | + | 0.551820i | ||||
\(589\) | −29.0122 | − | 25.1392i | −1.19543 | − | 1.03584i | ||||
\(590\) | 2.30052 | − | 1.63819i | 0.0947107 | − | 0.0674432i | ||||
\(591\) | 1.35467 | + | 0.0645307i | 0.0557235 | + | 0.00265444i | ||||
\(592\) | 12.2554 | − | 12.8531i | 0.503693 | − | 0.528258i | ||||
\(593\) | −7.15285 | − | 37.1125i | −0.293733 | − | 1.52403i | −0.766154 | − | 0.642657i | \(-0.777832\pi\) |
0.472422 | − | 0.881373i | \(-0.343380\pi\) | |||||||
\(594\) | 0.277906 | + | 0.0816005i | 0.0114026 | + | 0.00334811i | ||||
\(595\) | 21.5621 | + | 9.31812i | 0.883959 | + | 0.382006i | ||||
\(596\) | 11.8539 | + | 1.70433i | 0.485554 | + | 0.0698122i | ||||
\(597\) | −5.06456 | − | 2.92402i | −0.207279 | − | 0.119672i | ||||
\(598\) | 2.95391 | + | 4.55995i | 0.120794 | + | 0.186470i | ||||
\(599\) | −4.57381 | − | 7.92207i | −0.186881 | − | 0.323687i | 0.757328 | − | 0.653035i | \(-0.226504\pi\) |
−0.944209 | + | 0.329348i | \(0.893171\pi\) | |||||||
\(600\) | 2.34862 | − | 2.98652i | 0.0958822 | − | 0.121924i | ||||
\(601\) | −27.4046 | + | 12.5152i | −1.11786 | + | 0.510508i | −0.886670 | − | 0.462402i | \(-0.846988\pi\) |
−0.231185 | + | 0.972910i | \(0.574260\pi\) | |||||||
\(602\) | 3.82593 | + | 0.286386i | 0.155933 | + | 0.0116722i | ||||
\(603\) | 2.10896 | − | 1.82743i | 0.0858836 | − | 0.0744186i | ||||
\(604\) | 8.71709 | − | 35.9323i | 0.354693 | − | 1.46207i | ||||
\(605\) | −0.618522 | + | 12.9844i | −0.0251465 | + | 0.527890i | ||||
\(606\) | 3.35994 | − | 0.320836i | 0.136488 | − | 0.0130331i | ||||
\(607\) | −11.6315 | + | 4.02569i | −0.472106 | + | 0.163398i | −0.552753 | − | 0.833345i | \(-0.686423\pi\) |
0.0806466 | + | 0.996743i | \(0.474301\pi\) | |||||||
\(608\) | −15.9200 | + | 10.2312i | −0.645642 | + | 0.414929i | ||||
\(609\) | 12.6311 | + | 2.16711i | 0.511840 | + | 0.0878157i | ||||
\(610\) | −0.353659 | − | 2.45975i | −0.0143192 | − | 0.0995924i | ||||
\(611\) | −0.247338 | − | 5.19225i | −0.0100062 | − | 0.210056i | ||||
\(612\) | −12.8646 | − | 2.47944i | −0.520019 | − | 0.100225i | ||||
\(613\) | −0.974468 | − | 10.2051i | −0.0393584 | − | 0.412180i | −0.993584 | − | 0.113093i | \(-0.963924\pi\) |
0.954226 | − | 0.299087i | \(-0.0966819\pi\) | |||||||
\(614\) | −3.29130 | − | 6.38423i | −0.132826 | − | 0.257647i | ||||
\(615\) | 8.36206 | − | 2.45532i | 0.337191 | − | 0.0990081i | ||||
\(616\) | 2.76134 | − | 1.17166i | 0.111257 | − | 0.0472074i | ||||
\(617\) | −5.54958 | + | 18.9001i | −0.223418 | + | 0.760891i | 0.769136 | + | 0.639085i | \(0.220687\pi\) |
−0.992554 | + | 0.121806i | \(0.961131\pi\) | |||||||
\(618\) | −0.413567 | + | 4.33107i | −0.0166361 | + | 0.174221i | ||||
\(619\) | 4.06545 | − | 1.62756i | 0.163404 | − | 0.0654171i | −0.288518 | − | 0.957474i | \(-0.593163\pi\) |
0.451922 | + | 0.892057i | \(0.350738\pi\) | |||||||
\(620\) | 14.4548 | − | 8.34550i | 0.580520 | − | 0.335163i | ||||
\(621\) | 1.79856 | + | 4.44581i | 0.0721736 | + | 0.178404i | ||||
\(622\) | − | 1.70131i | − | 0.0682163i | ||||||
\(623\) | 2.37472 | − | 0.161933i | 0.0951413 | − | 0.00648772i | ||||
\(624\) | −5.61877 | − | 12.3034i | −0.224931 | − | 0.492529i | ||||
\(625\) | 1.87313 | − | 1.78602i | 0.0749250 | − | 0.0714409i | ||||
\(626\) | −0.389121 | + | 1.12429i | −0.0155524 | + | 0.0449358i | ||||
\(627\) | −4.09185 | − | 3.90157i | −0.163413 | − | 0.155814i | ||||
\(628\) | 11.4003 | − | 5.87726i | 0.454921 | − | 0.234528i | ||||
\(629\) | 31.6453 | + | 14.4519i | 1.26178 | + | 0.576236i | ||||
\(630\) | −0.0205726 | − | 1.00413i | −0.000819634 | − | 0.0400056i | ||||
\(631\) | 1.07846 | + | 1.67811i | 0.0429327 | + | 0.0668046i | 0.862057 | − | 0.506812i | \(-0.169176\pi\) |
−0.819124 | + | 0.573617i | \(0.805540\pi\) | |||||||
\(632\) | −0.293098 | + | 0.732123i | −0.0116588 | + | 0.0291223i | ||||
\(633\) | −3.44826 | − | 4.38482i | −0.137056 | − | 0.174281i | ||||
\(634\) | 5.26594 | + | 2.71478i | 0.209137 | + | 0.107818i | ||||
\(635\) | −3.11091 | − | 8.98838i | −0.123453 | − | 0.356693i | ||||
\(636\) | −9.82174 | + | 21.5066i | −0.389457 | + | 0.852793i | ||||
\(637\) | −21.1913 | − | 16.8936i | −0.839629 | − | 0.669348i | ||||
\(638\) | −0.395263 | − | 1.34614i | −0.0156486 | − | 0.0532943i | ||||
\(639\) | 7.38079 | − | 1.42253i | 0.291979 | − | 0.0562744i | ||||
\(640\) | −2.56515 | − | 10.5737i | −0.101397 | − | 0.417962i | ||||
\(641\) | 3.49116 | + | 2.48604i | 0.137892 | + | 0.0981928i | 0.646922 | − | 0.762557i | \(-0.276056\pi\) |
−0.509029 | + | 0.860749i | \(0.669995\pi\) | |||||||
\(642\) | 1.58086 | + | 1.24321i | 0.0623918 | + | 0.0490654i | ||||
\(643\) | −9.70885 | −0.382880 | −0.191440 | − | 0.981504i | \(-0.561316\pi\) | ||||
−0.191440 | + | 0.981504i | \(0.561316\pi\) | |||||||
\(644\) | 21.3230 | + | 11.6347i | 0.840246 | + | 0.458471i | ||||
\(645\) | 6.42892 | 0.253139 | ||||||||
\(646\) | −8.99125 | − | 7.07080i | −0.353756 | − | 0.278197i | ||||
\(647\) | 37.9199 | + | 27.0026i | 1.49078 | + | 1.06158i | 0.979329 | + | 0.202272i | \(0.0648324\pi\) |
0.511454 | + | 0.859310i | \(0.329107\pi\) | |||||||
\(648\) | 0.270040 | + | 1.11312i | 0.0106082 | + | 0.0437275i | ||||
\(649\) | −7.23101 | + | 1.39366i | −0.283842 | + | 0.0547060i | ||||
\(650\) | 1.05871 | + | 3.60562i | 0.0415258 | + | 0.141424i | ||||
\(651\) | −6.26920 | + | 16.6397i | −0.245709 | + | 0.652162i | ||||
\(652\) | −7.59845 | + | 16.6383i | −0.297578 | + | 0.651606i | ||||
\(653\) | −2.58312 | − | 7.46343i | −0.101085 | − | 0.292067i | 0.883107 | − | 0.469172i | \(-0.155448\pi\) |
−0.984192 | + | 0.177106i | \(0.943327\pi\) | |||||||
\(654\) | −3.36465 | − | 1.73460i | −0.131568 | − | 0.0678281i | ||||
\(655\) | −11.4256 | − | 14.5288i | −0.446434 | − | 0.567687i | ||||
\(656\) | −8.72282 | + | 21.7885i | −0.340569 | + | 0.850700i | ||||
\(657\) | 6.44462 | + | 10.0280i | 0.251429 | + | 0.391230i | ||||
\(658\) | 0.538060 | + | 0.889364i | 0.0209758 | + | 0.0346710i | ||||
\(659\) | −5.01986 | − | 2.29249i | −0.195546 | − | 0.0893028i | 0.315235 | − | 0.949014i | \(-0.397917\pi\) |
−0.510781 | + | 0.859711i | \(0.670644\pi\) | |||||||
\(660\) | 2.18495 | − | 1.12642i | 0.0850490 | − | 0.0438458i | ||||
\(661\) | −25.9092 | − | 24.7044i | −1.00775 | − | 0.960889i | −0.00851536 | − | 0.999964i | \(-0.502711\pi\) |
−0.999236 | + | 0.0390745i | \(0.987559\pi\) | |||||||
\(662\) | 0.849993 | − | 2.45589i | 0.0330359 | − | 0.0954510i | ||||
\(663\) | 19.1758 | − | 18.2841i | 0.744727 | − | 0.710096i | ||||
\(664\) | −4.35364 | − | 9.53314i | −0.168954 | − | 0.369957i | ||||
\(665\) | −8.62470 | + | 17.6060i | −0.334451 | + | 0.682730i | ||||
\(666\) | − | 1.48749i | − | 0.0576390i | ||||||
\(667\) | 13.4063 | − | 18.9717i | 0.519094 | − | 0.734585i | ||||
\(668\) | −15.9253 | + | 9.19445i | −0.616167 | + | 0.355744i | ||||
\(669\) | −4.63202 | + | 1.85438i | −0.179084 | + | 0.0716945i | ||||
\(670\) | −0.100694 | + | 1.05452i | −0.00389015 | + | 0.0407395i | ||||
\(671\) | −1.82556 | + | 6.21729i | −0.0704750 | + | 0.240016i | ||||
\(672\) | 6.99980 | + | 5.27628i | 0.270023 | + | 0.203537i | ||||
\(673\) | 30.6463 | − | 8.99858i | 1.18133 | − | 0.346870i | 0.368643 | − | 0.929571i | \(-0.379822\pi\) |
0.812686 | + | 0.582701i | \(0.198004\pi\) | |||||||
\(674\) | −0.838468 | − | 1.62640i | −0.0322966 | − | 0.0626466i | ||||
\(675\) | 0.315306 | + | 3.30204i | 0.0121361 | + | 0.127095i | ||||
\(676\) | 3.73900 | + | 0.720633i | 0.143808 | + | 0.0277167i | ||||
\(677\) | −1.49736 | − | 31.4335i | −0.0575483 | − | 1.20809i | −0.824304 | − | 0.566148i | \(-0.808433\pi\) |
0.766755 | − | 0.641939i | \(-0.221870\pi\) | |||||||
\(678\) | −0.676278 | − | 4.70361i | −0.0259723 | − | 0.180641i | ||||
\(679\) | −30.9488 | − | 25.7265i | −1.18771 | − | 0.987293i | ||||
\(680\) | 8.55480 | − | 5.49783i | 0.328061 | − | 0.210832i | ||||
\(681\) | 3.16146 | − | 1.09419i | 0.121148 | − | 0.0419296i | ||||
\(682\) | 1.93778 | − | 0.185036i | 0.0742015 | − | 0.00708539i | ||||
\(683\) | −0.561815 | + | 11.7939i | −0.0214973 | + | 0.451283i | 0.962299 | + | 0.271993i | \(0.0876829\pi\) |
−0.983796 | + | 0.179289i | \(0.942620\pi\) | |||||||
\(684\) | 2.57797 | − | 10.6265i | 0.0985712 | − | 0.406316i | ||||
\(685\) | 13.4349 | − | 11.6414i | 0.513322 | − | 0.444796i | ||||
\(686\) | 5.33509 | + | 0.951787i | 0.203695 | + | 0.0363394i | ||||
\(687\) | 4.34577 | − | 1.98465i | 0.165801 | − | 0.0757189i | ||||
\(688\) | −10.7023 | + | 13.6090i | −0.408020 | + | 0.518839i | ||||
\(689\) | −23.9076 | − | 41.4092i | −0.910808 | − | 1.57757i | ||||
\(690\) | −1.65874 | − | 0.750266i | −0.0631471 | − | 0.0285622i | ||||
\(691\) | −2.13070 | − | 1.23016i | −0.0810555 | − | 0.0467974i | 0.458924 | − | 0.888475i | \(-0.348235\pi\) |
−0.539980 | + | 0.841678i | \(0.681568\pi\) | |||||||
\(692\) | −34.8002 | − | 5.00352i | −1.32291 | − | 0.190205i | ||||
\(693\) | −1.03888 | + | 2.40395i | −0.0394637 | + | 0.0913187i | ||||
\(694\) | −9.55142 | − | 2.80455i | −0.362567 | − | 0.106459i | ||||
\(695\) | −3.79778 | − | 19.7047i | −0.144058 | − | 0.747443i | ||||
\(696\) | 3.82871 | − | 4.01543i | 0.145127 | − | 0.152205i | ||||
\(697\) | −45.9232 | − | 2.18759i | −1.73946 | − | 0.0828609i | ||||
\(698\) | 2.27696 | − | 1.62142i | 0.0861843 | − | 0.0613715i | ||||
\(699\) | −2.55949 | − | 2.21781i | −0.0968088 | − | 0.0838853i | ||||
\(700\) | 11.8405 | + | 11.9192i | 0.447528 | + | 0.450505i | ||||
\(701\) | −16.0683 | + | 2.31028i | −0.606892 | + | 0.0872579i | −0.438908 | − | 0.898532i | \(-0.644635\pi\) |
−0.167984 | + | 0.985790i | \(0.553726\pi\) | |||||||
\(702\) | −1.05173 | − | 0.421050i | −0.0396951 | − | 0.0158915i | ||||
\(703\) | −13.3051 | + | 25.8083i | −0.501812 | + | 0.973380i | ||||
\(704\) | −1.12727 | + | 5.84883i | −0.0424856 | + | 0.220436i | ||||
\(705\) | 1.01034 | + | 1.41882i | 0.0380515 | + | 0.0534359i | ||||
\(706\) | 4.58328 | − | 7.13172i | 0.172494 | − | 0.268406i | ||||
\(707\) | −0.827383 | + | 30.5066i | −0.0311170 | + | 1.14732i | ||||
\(708\) | −9.32689 | − | 10.7638i | −0.350526 | − | 0.404529i | ||||
\(709\) | −9.63003 | − | 10.0997i | −0.361663 | − | 0.379302i | 0.517612 | − | 0.855616i | \(-0.326821\pi\) |
−0.879275 | + | 0.476314i | \(0.841973\pi\) | |||||||
\(710\) | −1.65511 | + | 2.32427i | −0.0621151 | + | 0.0872284i | ||||
\(711\) | −0.255889 | − | 0.639180i | −0.00959659 | − | 0.0239711i | ||||
\(712\) | 0.515231 | − | 0.892406i | 0.0193091 | − | 0.0334443i | ||||
\(713\) | 22.3269 | + | 23.2465i | 0.836148 | + | 0.870587i | ||||
\(714\) | −1.62997 | + | 5.04132i | −0.0610002 | + | 0.188667i | ||||
\(715\) | −0.707506 | + | 4.92081i | −0.0264592 | + | 0.184028i | ||||
\(716\) | −20.4996 | − | 1.95747i | −0.766105 | − | 0.0731542i | ||||
\(717\) | −5.71902 | + | 1.38742i | −0.213581 | + | 0.0518141i | ||||
\(718\) | −2.95994 | − | 1.02445i | −0.110464 | − | 0.0382320i | ||||
\(719\) | −29.6344 | − | 7.18922i | −1.10518 | − | 0.268113i | −0.358652 | − | 0.933471i | \(-0.616763\pi\) |
−0.746524 | + | 0.665359i | \(0.768279\pi\) | |||||||
\(720\) | 3.81271 | + | 2.45028i | 0.142091 | + | 0.0913164i | ||||
\(721\) | −38.4115 | − | 8.48936i | −1.43052 | − | 0.316160i | ||||
\(722\) | 2.61107 | − | 3.01334i | 0.0971740 | − | 0.112145i | ||||
\(723\) | 11.4108 | − | 0.543565i | 0.424373 | − | 0.0202154i | ||||
\(724\) | 9.00841 | − | 7.08429i | 0.334795 | − | 0.263286i | ||||
\(725\) | 12.6298 | − | 9.93222i | 0.469060 | − | 0.368873i | ||||
\(726\) | −2.92876 | + | 0.139514i | −0.108697 | + | 0.00517786i | ||||
\(727\) | −13.0118 | + | 15.0165i | −0.482583 | + | 0.556930i | −0.943868 | − | 0.330322i | \(-0.892843\pi\) |
0.461286 | + | 0.887252i | \(0.347388\pi\) | |||||||
\(728\) | −11.1873 | + | 3.53537i | −0.414630 | + | 0.131030i | ||||
\(729\) | −0.841254 | − | 0.540641i | −0.0311575 | − | 0.0200237i | ||||
\(730\) | −4.39747 | − | 1.06682i | −0.162758 | − | 0.0394846i | ||||
\(731\) | −32.0496 | − | 11.0925i | −1.18540 | − | 0.410271i | ||||
\(732\) | −12.1790 | + | 2.95459i | −0.450148 | + | 0.109205i | ||||
\(733\) | −0.323799 | − | 0.0309190i | −0.0119598 | − | 0.00114202i | 0.0890744 | − | 0.996025i | \(-0.471609\pi\) |
−0.101034 | + | 0.994883i | \(0.532215\pi\) | |||||||
\(734\) | −0.594841 | + | 4.13721i | −0.0219560 | + | 0.152707i | ||||
\(735\) | 9.03394 | + | 0.923114i | 0.333222 | + | 0.0340496i | ||||
\(736\) | 14.0963 | − | 7.33192i | 0.519595 | − | 0.270258i | ||||
\(737\) | 1.38108 | − | 2.39210i | 0.0508728 | − | 0.0881142i | ||||
\(738\) | 0.730606 | + | 1.82496i | 0.0268940 | + | 0.0671779i | ||||
\(739\) | 16.2182 | − | 22.7753i | 0.596596 | − | 0.837802i | −0.400312 | − | 0.916379i | \(-0.631098\pi\) |
0.996908 | + | 0.0785770i | \(0.0250377\pi\) | |||||||
\(740\) | −8.71198 | − | 9.13686i | −0.320259 | − | 0.335878i | ||||
\(741\) | 14.4817 | + | 16.7127i | 0.531998 | + | 0.613958i | ||||
\(742\) | 8.14784 | + | 5.00349i | 0.299117 | + | 0.183684i | ||||
\(743\) | 10.1937 | − | 15.8617i | 0.373971 | − | 0.581910i | −0.602351 | − | 0.798231i | \(-0.705769\pi\) |
0.976322 | + | 0.216321i | \(0.0694058\pi\) | |||||||
\(744\) | 4.46531 | + | 6.27065i | 0.163706 | + | 0.229893i | ||||
\(745\) | 1.53586 | − | 7.96878i | 0.0562694 | − | 0.291953i | ||||
\(746\) | −0.803063 | + | 1.55773i | −0.0294022 | + | 0.0570324i | ||||
\(747\) | 8.49434 | + | 3.40062i | 0.310792 | + | 0.124422i | ||||
\(748\) | −12.8360 | + | 1.84554i | −0.469331 | + | 0.0674795i | ||||
\(749\) | −12.9007 | + | 12.8155i | −0.471382 | + | 0.468267i | ||||
\(750\) | −2.38605 | − | 2.06753i | −0.0871264 | − | 0.0754954i | ||||
\(751\) | −34.4237 | + | 24.5130i | −1.25614 | + | 0.894491i | −0.997443 | − | 0.0714680i | \(-0.977232\pi\) |
−0.258694 | + | 0.965959i | \(0.583292\pi\) | |||||||
\(752\) | −4.68533 | − | 0.223190i | −0.170856 | − | 0.00813890i | ||||
\(753\) | −3.95429 | + | 4.14714i | −0.144102 | + | 0.151130i | ||||
\(754\) | 1.03853 | + | 5.38838i | 0.0378209 | + | 0.196233i | ||||
\(755\) | −24.0410 | − | 7.05908i | −0.874942 | − | 0.256906i | ||||
\(756\) | −5.03111 | + | 0.584634i | −0.182980 | + | 0.0212629i | ||||
\(757\) | −19.0276 | − | 2.73576i | −0.691570 | − | 0.0994328i | −0.212437 | − | 0.977175i | \(-0.568140\pi\) |
−0.479134 | + | 0.877742i | \(0.659049\pi\) | |||||||
\(758\) | 4.00023 | + | 2.30954i | 0.145295 | + | 0.0838861i | ||||
\(759\) | 3.12163 | + | 3.57627i | 0.113308 | + | 0.129811i | ||||
\(760\) | 4.24373 | + | 7.35036i | 0.153936 | + | 0.266626i | ||||
\(761\) | 25.4526 | − | 32.3656i | 0.922655 | − | 1.17325i | −0.0618830 | − | 0.998083i | \(-0.519711\pi\) |
0.984538 | − | 0.175168i | \(-0.0560470\pi\) | |||||||
\(762\) | 1.95154 | − | 0.891240i | 0.0706970 | − | 0.0322862i | ||||
\(763\) | 19.2784 | − | 28.2813i | 0.697924 | − | 1.02385i | ||||
\(764\) | −35.2148 | + | 30.5138i | −1.27403 | + | 1.10395i | ||||
\(765\) | −2.09310 | + | 8.62789i | −0.0756763 | + | 0.311942i | ||||
\(766\) | 0.273209 | − | 5.73536i | 0.00987143 | − | 0.207227i | ||||
\(767\) | 28.6733 | − | 2.73796i | 1.03533 | − | 0.0988622i | ||||
\(768\) | −9.05427 | + | 3.13371i | −0.326718 | + | 0.113078i | ||||
\(769\) | −33.4226 | + | 21.4794i | −1.20525 | + | 0.774567i | −0.979857 | − | 0.199701i | \(-0.936003\pi\) |
−0.225393 | + | 0.974268i | \(0.572366\pi\) | |||||||
\(770\) | −0.344321 | − | 0.932589i | −0.0124085 | − | 0.0336082i | ||||
\(771\) | 2.31897 | + | 16.1288i | 0.0835158 | + | 0.580865i | ||||
\(772\) | −2.26990 | − | 47.6511i | −0.0816956 | − | 1.71500i | ||||
\(773\) | 35.7486 | + | 6.88997i | 1.28579 | + | 0.247815i | 0.785942 | − | 0.618300i | \(-0.212178\pi\) |
0.499844 | + | 0.866115i | \(0.333391\pi\) | |||||||
\(774\) | 0.137842 | + | 1.44355i | 0.00495462 | + | 0.0518872i | ||||
\(775\) | 10.2153 | + | 19.8150i | 0.366946 | + | 0.711776i | ||||
\(776\) | −16.7174 | + | 4.90867i | −0.600119 | + | 0.176211i | ||||
\(777\) | 13.3490 | + | 1.64097i | 0.478892 | + | 0.0588693i | ||||
\(778\) | −2.23882 | + | 7.62473i | −0.0802656 | + | 0.273360i | ||||
\(779\) | 3.64753 | − | 38.1987i | 0.130686 | − | 1.36861i | ||||
\(780\) | −8.92626 | + | 3.57353i | −0.319611 | + | 0.127953i | ||||
\(781\) | 6.44334 | − | 3.72007i | 0.230561 | − | 0.133114i | ||||
\(782\) | 6.97467 | + | 6.60224i | 0.249414 | + | 0.236096i | ||||
\(783\) | 4.84388i | 0.173106i | ||||||||
\(784\) | −16.9929 | + | 17.5867i | −0.606890 | + | 0.628097i | ||||
\(785\) | −3.61064 | − | 7.90620i | −0.128869 | − | 0.282185i | ||||
\(786\) | 3.01731 | − | 2.87700i | 0.107624 | − | 0.102619i | ||||
\(787\) | 9.76139 | − | 28.2037i | 0.347956 | − | 1.00535i | −0.626236 | − | 0.779633i | \(-0.715405\pi\) |
0.974192 | − | 0.225720i | \(-0.0724733\pi\) | |||||||
\(788\) | 1.87902 | + | 1.79164i | 0.0669372 | + | 0.0638245i | ||||
\(789\) | −20.4881 | + | 10.5624i | −0.729396 | + | 0.376030i | ||||
\(790\) | 0.237740 | + | 0.108572i | 0.00845840 | + | 0.00386282i | ||||
\(791\) | 42.9571 | − | 0.880104i | 1.52738 | − | 0.0312929i | ||||
\(792\) | 0.612953 | + | 0.953774i | 0.0217803 | + | 0.0338909i | ||||
\(793\) | 9.41971 | − | 23.5293i | 0.334504 | − | 0.835550i | ||||
\(794\) | −2.71598 | − | 3.45364i | −0.0963864 | − | 0.122565i | ||||
\(795\) | 14.2408 | + | 7.34166i | 0.505070 | + | 0.260382i | ||||
\(796\) | −3.66164 | − | 10.5796i | −0.129784 | − | 0.374985i | ||||
\(797\) | −16.2483 | + | 35.5787i | −0.575543 | + | 1.26026i | 0.368250 | + | 0.929727i | \(0.379957\pi\) |
−0.943793 | + | 0.330537i | \(0.892770\pi\) | |||||||
\(798\) | −4.13815 | − | 1.55910i | −0.146489 | − | 0.0551914i | ||||
\(799\) | −2.58872 | − | 8.81638i | −0.0915824 | − | 0.311901i | ||||
\(800\) | 10.7911 | − | 2.07982i | 0.381524 | − | 0.0735327i | ||||
\(801\) | 0.212099 | + | 0.874286i | 0.00749417 | + | 0.0308914i | ||||
\(802\) | 1.76675 | + | 1.25809i | 0.0623860 | + | 0.0444249i | ||||
\(803\) | 9.27467 | + | 7.29368i | 0.327296 | + | 0.257388i | ||||
\(804\) | 5.34218 | 0.188404 | ||||||||
\(805\) | 8.56290 | − | 14.0581i | 0.301803 | − | 0.495484i | ||||
\(806\) | −7.61387 | −0.268187 | ||||||||
\(807\) | −6.25889 | − | 4.92204i | −0.220323 | − | 0.173264i | ||||
\(808\) | 10.7621 | + | 7.66366i | 0.378609 | + | 0.269607i | ||||
\(809\) | 11.4342 | + | 47.1324i | 0.402005 | + | 1.65709i | 0.708873 | + | 0.705336i | \(0.249204\pi\) |
−0.306868 | + | 0.951752i | \(0.599281\pi\) | |||||||
\(810\) | 0.372746 | − | 0.0718409i | 0.0130970 | − | 0.00252423i | ||||
\(811\) | 6.96158 | + | 23.7090i | 0.244454 | + | 0.832534i | 0.986720 | + | 0.162429i | \(0.0519329\pi\) |
−0.742266 | + | 0.670105i | \(0.766249\pi\) | |||||||
\(812\) | 15.5578 | + | 18.9704i | 0.545972 | + | 0.665730i | ||||
\(813\) | 8.52970 | − | 18.6774i | 0.299150 | − | 0.655046i | ||||
\(814\) | −0.481559 | − | 1.39137i | −0.0168786 | − | 0.0487677i | ||||
\(815\) | 11.0172 | + | 5.67977i | 0.385916 | + | 0.198954i | ||||
\(816\) | −14.7795 | − | 18.7936i | −0.517385 | − | 0.657909i | ||||
\(817\) | 10.5205 | − | 26.2788i | 0.368064 | − | 0.919380i | ||||
\(818\) | 4.52903 | + | 7.04731i | 0.158354 | + | 0.246403i | ||||
\(819\) | 4.93882 | − | 8.97393i | 0.172576 | − | 0.313575i | ||||
\(820\) | 15.1762 | + | 6.93076i | 0.529977 | + | 0.242033i | ||||
\(821\) | 20.7298 | − | 10.6870i | 0.723475 | − | 0.372977i | −0.0568236 | − | 0.998384i | \(-0.518097\pi\) |
0.780299 | + | 0.625407i | \(0.215067\pi\) | |||||||
\(822\) | 2.90201 | + | 2.76706i | 0.101219 | + | 0.0965125i | ||||
\(823\) | −4.41708 | + | 12.7623i | −0.153970 | + | 0.444866i | −0.995435 | − | 0.0954454i | \(-0.969572\pi\) |
0.841465 | + | 0.540312i | \(0.181694\pi\) | |||||||
\(824\) | −12.3256 | + | 11.7524i | −0.429382 | + | 0.409415i | ||||
\(825\) | 1.36393 | + | 2.98660i | 0.0474860 | + | 0.103980i | ||||
\(826\) | −4.78065 | + | 3.21259i | −0.166340 | + | 0.111780i | ||||
\(827\) | − | 44.2700i | − | 1.53942i | −0.638394 | − | 0.769710i | \(-0.720401\pi\) | ||
0.638394 | − | 0.769710i | \(-0.279599\pi\) | |||||||
\(828\) | −2.97135 | + | 8.68690i | −0.103262 | + | 0.301891i | ||||
\(829\) | 39.7297 | − | 22.9380i | 1.37987 | − | 0.796669i | 0.387728 | − | 0.921774i | \(-0.373260\pi\) |
0.992144 | + | 0.125105i | \(0.0399268\pi\) | |||||||
\(830\) | −3.22450 | + | 1.29090i | −0.111924 | + | 0.0448076i | ||||
\(831\) | 1.71919 | − | 18.0042i | 0.0596380 | − | 0.624558i | ||||
\(832\) | 6.56380 | − | 22.3543i | 0.227559 | − | 0.774994i | ||||
\(833\) | −43.4435 | − | 20.1891i | −1.50523 | − | 0.699512i | ||||
\(834\) | 4.34306 | − | 1.27524i | 0.150388 | − | 0.0441578i | ||||
\(835\) | 5.71010 | + | 11.0760i | 0.197606 | + | 0.383302i | ||||
\(836\) | −1.02884 | − | 10.7745i | −0.0355832 | − | 0.372644i | ||||
\(837\) | −6.59933 | − | 1.27192i | −0.228106 | − | 0.0439639i | ||||
\(838\) | −0.235245 | − | 4.93840i | −0.00812641 | − | 0.170594i | ||||
\(839\) | 3.53162 | + | 24.5630i | 0.121925 | + | 0.848008i | 0.955371 | + | 0.295408i | \(0.0954554\pi\) |
−0.833446 | + | 0.552601i | \(0.813635\pi\) | |||||||
\(840\) | 2.51310 | − | 3.02325i | 0.0867103 | − | 0.104312i | ||||
\(841\) | −4.65789 | + | 2.99345i | −0.160617 | + | 0.103222i | ||||
\(842\) | −6.98123 | + | 2.41623i | −0.240589 | + | 0.0832687i | ||||
\(843\) | −17.3649 | + | 1.65815i | −0.598079 | + | 0.0571096i | ||||
\(844\) | 0.508123 | − | 10.6668i | 0.0174903 | − | 0.367167i | ||||
\(845\) | 0.608347 | − | 2.50764i | 0.0209278 | − | 0.0862654i | ||||
\(846\) | −0.296918 | + | 0.257281i | −0.0102083 | + | 0.00884550i | ||||
\(847\) | 1.97892 | − | 26.4371i | 0.0679966 | − | 0.908390i | ||||
\(848\) | −39.2479 | + | 17.9239i | −1.34778 | + | 0.615510i | ||||
\(849\) | 9.66016 | − | 12.2839i | 0.331536 | − | 0.421582i | ||||
\(850\) | 3.32130 | + | 5.75266i | 0.113920 | + | 0.197315i | ||||
\(851\) | 13.1060 | − | 20.5567i | 0.449267 | − | 0.704676i | ||||
\(852\) | 12.4618 | + | 7.19482i | 0.426934 | + | 0.246490i | ||||
\(853\) | −20.8276 | − | 2.99456i | −0.713125 | − | 0.102532i | −0.223802 | − | 0.974635i | \(-0.571847\pi\) |
−0.489323 | + | 0.872103i | \(0.662756\pi\) | |||||||
\(854\) | 0.585000 | + | 5.03426i | 0.0200183 | + | 0.172269i | ||||
\(855\) | −7.10983 | − | 2.08763i | −0.243151 | − | 0.0713956i | ||||
\(856\) | 1.48986 | + | 7.73010i | 0.0509222 | + | 0.264210i | ||||
\(857\) | 6.59429 | − | 6.91589i | 0.225257 | − | 0.236242i | −0.601401 | − | 0.798947i | \(-0.705391\pi\) |
0.826658 | + | 0.562705i | \(0.190239\pi\) | |||||||
\(858\) | −1.12008 | − | 0.0533562i | −0.0382391 | − | 0.00182155i | ||||
\(859\) | 18.3396 | − | 13.0596i | 0.625740 | − | 0.445588i | −0.222694 | − | 0.974888i | \(-0.571485\pi\) |
0.848434 | + | 0.529301i | \(0.177546\pi\) | |||||||
\(860\) | 9.30129 | + | 8.05962i | 0.317172 | + | 0.274831i | ||||
\(861\) | −17.1835 | + | 4.54332i | −0.585613 | + | 0.154836i | ||||
\(862\) | −8.26671 | + | 1.18857i | −0.281565 | + | 0.0404830i | ||||
\(863\) | 20.7411 | + | 8.30347i | 0.706034 | + | 0.282654i | 0.696761 | − | 0.717303i | \(-0.254624\pi\) |
0.00927347 | + | 0.999957i | \(0.497048\pi\) | |||||||
\(864\) | −1.51815 | + | 2.94480i | −0.0516485 | + | 0.100184i | ||||
\(865\) | −4.50891 | + | 23.3944i | −0.153307 | + | 0.795435i | ||||
\(866\) | −1.38355 | − | 1.94293i | −0.0470150 | − | 0.0660233i | ||||
\(867\) | 16.1303 | − | 25.0992i | 0.547813 | − | 0.852414i | ||||
\(868\) | −29.9306 | + | 16.2148i | −1.01591 | + | 0.550365i | ||||
\(869\) | −0.446283 | − | 0.515038i | −0.0151391 | − | 0.0174715i | ||||
\(870\) | −1.26889 | − | 1.33078i | −0.0430195 | − | 0.0451175i | ||||
\(871\) | −6.26685 | + | 8.80055i | −0.212344 | + | 0.298195i | ||||
\(872\) | −5.50718 | − | 13.7563i | −0.186497 | − | 0.465846i | ||||
\(873\) | 7.60565 | − | 13.1734i | 0.257412 | − | 0.445851i | ||||
\(874\) | −5.78119 | + | 5.55249i | −0.195552 | + | 0.187816i | ||||
\(875\) | 21.1866 | − | 19.1320i | 0.716237 | − | 0.646780i | ||||
\(876\) | −3.24762 | + | 22.5877i | −0.109727 | + | 0.763169i | ||||
\(877\) | 49.0673 | + | 4.68536i | 1.65689 | + | 0.158213i | 0.881147 | − | 0.472842i | \(-0.156772\pi\) |
0.775738 | + | 0.631055i | \(0.217378\pi\) | |||||||
\(878\) | −3.05069 | + | 0.740089i | −0.102956 | + | 0.0249768i | ||||
\(879\) | 28.4330 | + | 9.84075i | 0.959021 | + | 0.331920i | ||||
\(880\) | 4.35960 | + | 1.05763i | 0.146962 | + | 0.0356526i | ||||
\(881\) | 44.6819 | + | 28.7153i | 1.50537 | + | 0.967444i | 0.994152 | + | 0.107994i | \(0.0344427\pi\) |
0.511220 | + | 0.859450i | \(0.329194\pi\) | |||||||
\(882\) | −0.0135795 | + | 2.04827i | −0.000457244 | + | 0.0689687i | ||||
\(883\) | −6.82475 | + | 7.87618i | −0.229671 | + | 0.265055i | −0.858874 | − | 0.512186i | \(-0.828836\pi\) |
0.629203 | + | 0.777241i | \(0.283381\pi\) | |||||||
\(884\) | 50.6652 | − | 2.41348i | 1.70406 | − | 0.0811742i | ||||
\(885\) | −7.58661 | + | 5.96617i | −0.255021 | + | 0.200551i | ||||
\(886\) | −1.54356 | + | 1.21387i | −0.0518569 | + | 0.0407807i | ||||
\(887\) | −25.4316 | + | 1.21146i | −0.853909 | + | 0.0406767i | −0.469971 | − | 0.882682i | \(-0.655736\pi\) |
−0.383939 | + | 0.923359i | \(0.625433\pi\) | |||||||
\(888\) | 3.81299 | − | 4.40042i | 0.127955 | − | 0.147668i | ||||
\(889\) | 5.84524 | + | 18.4967i | 0.196043 | + | 0.620359i | ||||
\(890\) | −0.287297 | − | 0.184635i | −0.00963022 | − | 0.00618896i | ||||
\(891\) | −0.961922 | − | 0.233360i | −0.0322256 | − | 0.00781785i | ||||
\(892\) | −9.02629 | − | 3.12403i | −0.302223 | − | 0.104600i | ||||
\(893\) | 7.45291 | − | 1.80806i | 0.249402 | − | 0.0605043i | ||||
\(894\) | 1.82223 | + | 0.174002i | 0.0609446 | + | 0.00581950i | ||||
\(895\) | −1.98598 | + | 13.8128i | −0.0663838 | + | 0.461710i | ||||
\(896\) | 4.64494 | + | 21.6985i | 0.155177 | + | 0.724896i | ||||
\(897\) | −10.8249 | − | 15.0854i | −0.361433 | − | 0.503688i | ||||
\(898\) | −0.456225 | + | 0.790205i | −0.0152244 | + | 0.0263695i | ||||
\(899\) | 12.0994 | + | 30.2227i | 0.403536 | + | 1.00798i | ||||
\(900\) | −3.68341 | + | 5.17263i | −0.122780 | + | 0.172421i | ||||
\(901\) | −58.3264 | − | 61.1710i | −1.94314 | − | 2.03790i | ||||
\(902\) | 1.27421 | + | 1.47052i | 0.0424266 | + | 0.0489629i | ||||
\(903\) | −13.1067 | − | 0.355472i | −0.436163 | − | 0.0118294i | ||||
\(904\) | 10.0565 | − | 15.6482i | 0.334474 | − | 0.520451i | ||||
\(905\) | −4.50479 | − | 6.32609i | −0.149744 | − | 0.210286i | ||||
\(906\) | 1.06958 | − | 5.54950i | 0.0355344 | − | 0.184370i | ||||
\(907\) | −7.71775 | + | 14.9704i | −0.256264 | + | 0.497083i | −0.981511 | − | 0.191406i | \(-0.938695\pi\) |
0.725247 | + | 0.688489i | \(0.241726\pi\) | |||||||
\(908\) | 5.94571 | + | 2.38030i | 0.197315 | + | 0.0789931i | ||||
\(909\) | −11.4173 | + | 1.64155i | −0.378687 | + | 0.0544469i | ||||
\(910\) | 0.993932 | + | 3.75920i | 0.0329485 | + | 0.124616i | ||||
\(911\) | 1.81325 | + | 1.57119i | 0.0600755 | + | 0.0520557i | 0.684381 | − | 0.729125i | \(-0.260073\pi\) |
−0.624306 | + | 0.781180i | \(0.714618\pi\) | |||||||
\(912\) | 16.2550 | − | 11.5751i | 0.538255 | − | 0.383290i | ||||
\(913\) | 9.04639 | + | 0.430933i | 0.299392 | + | 0.0142618i | ||||
\(914\) | 2.19612 | − | 2.30322i | 0.0726410 | − | 0.0761837i | ||||
\(915\) | 1.60722 | + | 8.33904i | 0.0531330 | + | 0.275680i | ||||
\(916\) | 8.77546 | + | 2.57671i | 0.289949 | + | 0.0851368i | ||||
\(917\) | 22.4901 | + | 30.2517i | 0.742687 | + | 0.999000i | ||||
\(918\) | −1.98218 | − | 0.284994i | −0.0654216 | − | 0.00940620i | ||||
\(919\) | −27.8084 | − | 16.0552i | −0.917313 | − | 0.529611i | −0.0345363 | − | 0.999403i | \(-0.510995\pi\) |
−0.882777 | + | 0.469792i | \(0.844329\pi\) | |||||||
\(920\) | −2.98381 | − | 6.47147i | −0.0983734 | − | 0.213358i | ||||
\(921\) | 12.2732 | + | 21.2579i | 0.404417 | + | 0.700471i | ||||
\(922\) | −1.90666 | + | 2.42451i | −0.0627924 | + | 0.0798470i | ||||
\(923\) | −26.4713 | + | 12.0890i | −0.871314 | + | 0.397916i | ||||
\(924\) | −4.51675 | + | 2.17563i | −0.148590 | + | 0.0715729i | ||||
\(925\) | 12.7434 | − | 11.0423i | 0.419002 | − | 0.363067i | ||||
\(926\) | −0.0674674 | + | 0.278104i | −0.00221712 | + | 0.00913908i | ||||
\(927\) | 0.707474 | − | 14.8517i | 0.0232365 | − | 0.487794i | ||||
\(928\) | 15.9756 | − | 1.52548i | 0.524424 | − | 0.0500764i | ||||
\(929\) | −25.4371 | + | 8.80387i | −0.834564 | + | 0.288846i | −0.710737 | − | 0.703458i | \(-0.751638\pi\) |
−0.123828 | + | 0.992304i | \(0.539517\pi\) | |||||||
\(930\) | 2.14625 | − | 1.37931i | 0.0703782 | − | 0.0452293i | ||||
\(931\) | 18.5567 | − | 35.4165i | 0.608171 | − | 1.16073i | ||||
\(932\) | −0.922684 | − | 6.41741i | −0.0302235 | − | 0.210209i | ||||
\(933\) | 0.276648 | + | 5.80755i | 0.00905704 | + | 0.190131i | ||||
\(934\) | 1.88926 | + | 0.364125i | 0.0618184 | + | 0.0119145i | ||||
\(935\) | 0.835334 | + | 8.74801i | 0.0273183 | + | 0.286091i | ||||
\(936\) | −2.03202 | − | 3.94157i | −0.0664186 | − | 0.128834i | ||||
\(937\) | 22.4965 | − | 6.60557i | 0.734929 | − | 0.215795i | 0.107212 | − | 0.994236i | \(-0.465808\pi\) |
0.627717 | + | 0.778442i | \(0.283989\pi\) | |||||||
\(938\) | 0.263592 | − | 2.14428i | 0.00860659 | − | 0.0700132i | ||||
\(939\) | 1.14548 | − | 3.90114i | 0.0373812 | − | 0.127309i | ||||
\(940\) | −0.316959 | + | 3.31934i | −0.0103381 | + | 0.108265i | ||||
\(941\) | 30.9792 | − | 12.4022i | 1.00989 | − | 0.404300i | 0.193067 | − | 0.981186i | \(-0.438157\pi\) |
0.816825 | + | 0.576886i | \(0.195732\pi\) | |||||||
\(942\) | 1.69784 | − | 0.980247i | 0.0553185 | − | 0.0319382i | ||||
\(943\) | −5.98262 | + | 31.6578i | −0.194821 | + | 1.03092i | ||||
\(944\) | − | 25.9916i | − | 0.845953i | ||||||
\(945\) | 0.233507 | + | 3.42434i | 0.00759598 | + | 0.111394i | ||||
\(946\) | 0.596268 | + | 1.30564i | 0.0193863 | + | 0.0424502i | ||||
\(947\) | 19.0234 | − | 18.1388i | 0.618178 | − | 0.589431i | −0.314892 | − | 0.949128i | \(-0.601968\pi\) |
0.933069 | + | 0.359696i | \(0.117120\pi\) | |||||||
\(948\) | 0.431090 | − | 1.24555i | 0.0140012 | − | 0.0404537i | ||||
\(949\) | −33.4006 | − | 31.8474i | −1.08423 | − | 1.03381i | ||||
\(950\) | −4.92782 | + | 2.54047i | −0.159880 | + | 0.0824236i | ||||
\(951\) | −18.4171 | − | 8.41082i | −0.597216 | − | 0.272740i | ||||
\(952\) | −17.7447 | + | 10.7354i | −0.575109 | + | 0.347938i | ||||
\(953\) | 10.0745 | + | 15.6763i | 0.326346 | + | 0.507804i | 0.965196 | − | 0.261527i | \(-0.0842260\pi\) |
−0.638850 | + | 0.769331i | \(0.720590\pi\) | |||||||
\(954\) | −1.34315 | + | 3.35504i | −0.0434862 | + | 0.108623i | ||||
\(955\) | 19.5189 | + | 24.8203i | 0.631616 | + | 0.803166i | ||||
\(956\) | −10.0136 | − | 5.16235i | −0.323861 | − | 0.166962i | ||||
\(957\) | 1.56816 | + | 4.53089i | 0.0506913 | + | 0.146463i | ||||
\(958\) | 2.01985 | − | 4.42286i | 0.0652584 | − | 0.142896i | ||||
\(959\) | −28.0336 | + | 22.9906i | −0.905251 | + | 0.742405i | ||||
\(960\) | 2.19939 | + | 7.49045i | 0.0709851 | + | 0.241753i | ||||
\(961\) | −13.9129 | + | 2.68150i | −0.448804 | + | 0.0865000i | ||||
\(962\) | 1.35772 | + | 5.59659i | 0.0437746 | + | 0.180441i | ||||
\(963\) | −5.59856 | − | 3.98672i | −0.180411 | − | 0.128470i | ||||
\(964\) | 17.1905 | + | 13.5188i | 0.553669 | + | 0.435410i | ||||
\(965\) | −32.3276 | −1.04066 | ||||||||
\(966\) | 3.34019 | + | 1.62129i | 0.107469 | + | 0.0521641i | ||||
\(967\) | −30.5120 | −0.981199 | −0.490600 | − | 0.871385i | \(-0.663222\pi\) | ||||
−0.490600 | + | 0.871385i | \(0.663222\pi\) | |||||||
\(968\) | −9.02175 | − | 7.09478i | −0.289970 | − | 0.228035i | ||||
\(969\) | 31.8421 | + | 22.6747i | 1.02292 | + | 0.728415i | ||||
\(970\) | 1.36134 | + | 5.61153i | 0.0437100 | + | 0.180175i | ||||
\(971\) | 6.94797 | − | 1.33911i | 0.222971 | − | 0.0429741i | −0.0765420 | − | 0.997066i | \(-0.524388\pi\) |
0.299513 | + | 0.954092i | \(0.403176\pi\) | |||||||
\(972\) | −0.539342 | − | 1.83683i | −0.0172994 | − | 0.0589164i | ||||
\(973\) | 6.65302 | + | 40.3822i | 0.213286 | + | 1.29459i | ||||
\(974\) | −2.56985 | + | 5.62719i | −0.0823434 | + | 0.180307i | ||||
\(975\) | −4.20028 | − | 12.1359i | −0.134517 | − | 0.388660i | ||||
\(976\) | −20.3280 | − | 10.4798i | −0.650683 | − | 0.335450i | ||||
\(977\) | −22.8631 | − | 29.0729i | −0.731457 | − | 0.930123i | 0.267989 | − | 0.963422i | \(-0.413641\pi\) |
−0.999445 | + | 0.0332991i | \(0.989399\pi\) | |||||||
\(978\) | −1.03911 | + | 2.59558i | −0.0332271 | + | 0.0829973i | ||||
\(979\) | 0.481436 | + | 0.749128i | 0.0153868 | + | 0.0239423i | ||||
\(980\) | 11.9129 | + | 12.6609i | 0.380545 | + | 0.404439i | ||||
\(981\) | 11.7675 | + | 5.37406i | 0.375709 | + | 0.171580i | ||||
\(982\) | −2.65788 | + | 1.37023i | −0.0848164 | + | 0.0437259i | ||||
\(983\) | −40.1000 | − | 38.2353i | −1.27899 | − | 1.21952i | −0.962612 | − | 0.270884i | \(-0.912684\pi\) |
−0.316380 | − | 0.948633i | \(-0.602467\pi\) | |||||||
\(984\) | −2.51672 | + | 7.27159i | −0.0802301 | + | 0.231810i | ||||
\(985\) | 1.27332 | − | 1.21411i | 0.0405714 | − | 0.0386848i | ||||
\(986\) | 4.02959 | + | 8.82357i | 0.128328 | + | 0.281000i | ||||
\(987\) | −1.98133 | − | 2.94842i | −0.0630664 | − | 0.0938493i | ||||
\(988\) | 42.3348i | 1.34685i | ||||||||
\(989\) | −10.8139 | + | 21.1639i | −0.343861 | + | 0.672974i | ||||
\(990\) | 0.325403 | − | 0.187871i | 0.0103420 | − | 0.00597095i | ||||
\(991\) | 40.0917 | − | 16.0503i | 1.27356 | − | 0.509855i | 0.366324 | − | 0.930487i | \(-0.380616\pi\) |
0.907231 | + | 0.420632i | \(0.138192\pi\) | |||||||
\(992\) | −2.11658 | + | 22.1658i | −0.0672014 | + | 0.703765i | ||||
\(993\) | −2.50217 | + | 8.52160i | −0.0794039 | + | 0.270425i | ||||
\(994\) | 3.50279 | − | 4.64699i | 0.111102 | − | 0.147394i | ||||
\(995\) | −7.27926 | + | 2.13738i | −0.230768 | + | 0.0677597i | ||||
\(996\) | 8.02633 | + | 15.5689i | 0.254324 | + | 0.493320i | ||||
\(997\) | 3.57894 | + | 37.4803i | 0.113346 | + | 1.18701i | 0.855869 | + | 0.517193i | \(0.173023\pi\) |
−0.742523 | + | 0.669821i | \(0.766371\pi\) | |||||||
\(998\) | 10.0232 | + | 1.93182i | 0.317280 | + | 0.0611507i | ||||
\(999\) | 0.241879 | + | 5.07766i | 0.00765271 | + | 0.160650i |
(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 | 483.2.bf.a.61.20 | ✓ | 640 | |
7.3 | odd | 6 | inner | 483.2.bf.a.199.13 | yes | 640 | |
23.20 | odd | 22 | inner | 483.2.bf.a.250.13 | yes | 640 | |
161.66 | even | 66 | inner | 483.2.bf.a.388.20 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bf.a.61.20 | ✓ | 640 | 1.1 | even | 1 | trivial | |
483.2.bf.a.199.13 | yes | 640 | 7.3 | odd | 6 | inner | |
483.2.bf.a.250.13 | yes | 640 | 23.20 | odd | 22 | inner | |
483.2.bf.a.388.20 | yes | 640 | 161.66 | even | 66 | inner |