Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(11,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.n (of order \(10\), degree \(4\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 71.42 | ||
Character | \(\chi\) | \(=\) | 300.71 |
Dual form | 300.2.n.a.131.42 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.936272 | + | 1.05990i | 0.662044 | + | 0.749465i | ||||
\(3\) | 1.02789 | − | 1.39408i | 0.593450 | − | 0.804871i | ||||
\(4\) | −0.246789 | + | 1.98472i | −0.123395 | + | 0.992358i | ||||
\(5\) | 1.49656 | − | 1.66142i | 0.669282 | − | 0.743009i | ||||
\(6\) | 2.43997 | − | 0.215777i | 0.996112 | − | 0.0880904i | ||||
\(7\) | 4.44836i | 1.68132i | 0.541562 | + | 0.840661i | \(0.317833\pi\) | ||||
−0.541562 | + | 0.840661i | \(0.682167\pi\) | |||||||
\(8\) | −2.33467 | + | 1.59666i | −0.825430 | + | 0.564505i | ||||
\(9\) | −0.886903 | − | 2.86590i | −0.295634 | − | 0.955301i | ||||
\(10\) | 3.16213 | + | 0.0306693i | 0.999953 | + | 0.00969848i | ||||
\(11\) | 1.38440 | − | 4.26075i | 0.417413 | − | 1.28466i | −0.492662 | − | 0.870221i | \(-0.663976\pi\) |
0.910075 | − | 0.414444i | \(-0.136024\pi\) | |||||||
\(12\) | 2.51318 | + | 2.38410i | 0.725491 | + | 0.688231i | ||||
\(13\) | 1.09944 | + | 3.38374i | 0.304931 | + | 0.938481i | 0.979703 | + | 0.200454i | \(0.0642419\pi\) |
−0.674772 | + | 0.738026i | \(0.735758\pi\) | |||||||
\(14\) | −4.71483 | + | 4.16487i | −1.26009 | + | 1.11311i | ||||
\(15\) | −0.777853 | − | 3.79407i | −0.200841 | − | 0.979624i | ||||
\(16\) | −3.87819 | − | 0.979612i | −0.969548 | − | 0.244903i | ||||
\(17\) | −0.229964 | − | 0.316518i | −0.0557744 | − | 0.0767669i | 0.780219 | − | 0.625507i | \(-0.215108\pi\) |
−0.835993 | + | 0.548740i | \(0.815108\pi\) | |||||||
\(18\) | 2.20720 | − | 3.62330i | 0.520241 | − | 0.854019i | ||||
\(19\) | −1.18868 | − | 1.63607i | −0.272701 | − | 0.375341i | 0.650598 | − | 0.759422i | \(-0.274518\pi\) |
−0.923299 | + | 0.384081i | \(0.874518\pi\) | |||||||
\(20\) | 2.92811 | + | 3.38027i | 0.654745 | + | 0.755850i | ||||
\(21\) | 6.20135 | + | 4.57240i | 1.35325 | + | 0.997780i | ||||
\(22\) | 5.81216 | − | 2.52189i | 1.23916 | − | 0.537669i | ||||
\(23\) | 0.927671 | − | 2.85508i | 0.193433 | − | 0.595325i | −0.806559 | − | 0.591154i | \(-0.798672\pi\) |
0.999991 | − | 0.00417066i | \(-0.00132757\pi\) | |||||||
\(24\) | −0.173902 | + | 4.89589i | −0.0354976 | + | 0.999370i | ||||
\(25\) | −0.520618 | − | 4.97282i | −0.104124 | − | 0.994564i | ||||
\(26\) | −2.55706 | + | 4.33340i | −0.501480 | + | 0.849851i | ||||
\(27\) | −4.90693 | − | 1.70941i | −0.944338 | − | 0.328976i | ||||
\(28\) | −8.82872 | − | 1.09781i | −1.66847 | − | 0.207466i | ||||
\(29\) | −4.65476 | + | 6.40673i | −0.864368 | + | 1.18970i | 0.116142 | + | 0.993233i | \(0.462947\pi\) |
−0.980510 | + | 0.196468i | \(0.937053\pi\) | |||||||
\(30\) | 3.29306 | − | 4.37673i | 0.601228 | − | 0.799077i | ||||
\(31\) | −0.713204 | − | 0.981641i | −0.128095 | − | 0.176308i | 0.740152 | − | 0.672439i | \(-0.234753\pi\) |
−0.868247 | + | 0.496131i | \(0.834753\pi\) | |||||||
\(32\) | −2.59275 | − | 5.02769i | −0.458337 | − | 0.888778i | ||||
\(33\) | −4.51681 | − | 6.30953i | −0.786276 | − | 1.09835i | ||||
\(34\) | 0.120170 | − | 0.540087i | 0.0206090 | − | 0.0926241i | ||||
\(35\) | 7.39058 | + | 6.65723i | 1.24924 | + | 1.12528i | ||||
\(36\) | 5.90688 | − | 1.05298i | 0.984480 | − | 0.175496i | ||||
\(37\) | −0.145467 | − | 0.447702i | −0.0239146 | − | 0.0736017i | 0.938387 | − | 0.345586i | \(-0.112320\pi\) |
−0.962302 | + | 0.271985i | \(0.912320\pi\) | |||||||
\(38\) | 0.621154 | − | 2.79169i | 0.100764 | − | 0.452872i | ||||
\(39\) | 5.84730 | + | 1.94539i | 0.936317 | + | 0.311511i | ||||
\(40\) | −0.841249 | + | 6.26836i | −0.133013 | + | 0.991114i | ||||
\(41\) | −7.88511 | + | 2.56203i | −1.23145 | + | 0.400121i | −0.851238 | − | 0.524779i | \(-0.824148\pi\) |
−0.380209 | + | 0.924901i | \(0.624148\pi\) | |||||||
\(42\) | 0.959852 | + | 10.8538i | 0.148108 | + | 1.67479i | ||||
\(43\) | 5.44861i | 0.830905i | 0.909615 | + | 0.415453i | \(0.136377\pi\) | ||||
−0.909615 | + | 0.415453i | \(0.863623\pi\) | |||||||
\(44\) | 8.11472 | + | 3.79915i | 1.22334 | + | 0.572744i | ||||
\(45\) | −6.08877 | − | 2.81548i | −0.907660 | − | 0.419707i | ||||
\(46\) | 3.89466 | − | 1.68989i | 0.574236 | − | 0.249160i | ||||
\(47\) | −5.11114 | − | 3.71346i | −0.745537 | − | 0.541664i | 0.148903 | − | 0.988852i | \(-0.452426\pi\) |
−0.894440 | + | 0.447187i | \(0.852426\pi\) | |||||||
\(48\) | −5.35199 | + | 4.39957i | −0.772493 | + | 0.635023i | ||||
\(49\) | −12.7879 | −1.82684 | ||||||||
\(50\) | 4.78327 | − | 5.20772i | 0.676456 | − | 0.736483i | ||||
\(51\) | −0.677627 | − | 0.00475698i | −0.0948868 | − | 0.000666110i | ||||
\(52\) | −6.98709 | + | 1.34701i | −0.968935 | + | 0.186797i | ||||
\(53\) | 1.31817 | − | 1.81430i | 0.181064 | − | 0.249214i | −0.708831 | − | 0.705378i | \(-0.750777\pi\) |
0.889895 | + | 0.456165i | \(0.150777\pi\) | |||||||
\(54\) | −2.78241 | − | 6.80134i | −0.378638 | − | 0.925545i | ||||
\(55\) | −5.00705 | − | 8.67654i | −0.675150 | − | 1.16994i | ||||
\(56\) | −7.10252 | − | 10.3854i | −0.949114 | − | 1.38781i | ||||
\(57\) | −3.50263 | − | 0.0245887i | −0.463935 | − | 0.00325685i | ||||
\(58\) | −11.1486 | + | 1.06485i | −1.46389 | + | 0.139821i | ||||
\(59\) | −0.692164 | − | 2.13026i | −0.0901121 | − | 0.277337i | 0.895837 | − | 0.444383i | \(-0.146577\pi\) |
−0.985949 | + | 0.167046i | \(0.946577\pi\) | |||||||
\(60\) | 7.72211 | − | 0.607481i | 0.996920 | − | 0.0784255i | ||||
\(61\) | −1.80354 | + | 5.55073i | −0.230920 | + | 0.710698i | 0.766717 | + | 0.641985i | \(0.221889\pi\) |
−0.997637 | + | 0.0687122i | \(0.978111\pi\) | |||||||
\(62\) | 0.372691 | − | 1.67501i | 0.0473319 | − | 0.212727i | ||||
\(63\) | 12.7486 | − | 3.94526i | 1.60617 | − | 0.497056i | ||||
\(64\) | 2.90135 | − | 7.45535i | 0.362668 | − | 0.931918i | ||||
\(65\) | 7.26719 | + | 3.23733i | 0.901384 | + | 0.401542i | ||||
\(66\) | 2.45852 | − | 10.6948i | 0.302623 | − | 1.31644i | ||||
\(67\) | 4.83312 | + | 6.65222i | 0.590459 | + | 0.812698i | 0.994793 | − | 0.101914i | \(-0.0324966\pi\) |
−0.404334 | + | 0.914611i | \(0.632497\pi\) | |||||||
\(68\) | 0.684951 | − | 0.378300i | 0.0830625 | − | 0.0458756i | ||||
\(69\) | −3.02666 | − | 4.22794i | −0.364367 | − | 0.508984i | ||||
\(70\) | −0.136428 | + | 14.0663i | −0.0163063 | + | 1.68124i | ||||
\(71\) | −1.00092 | − | 0.727211i | −0.118787 | − | 0.0863040i | 0.526805 | − | 0.849986i | \(-0.323390\pi\) |
−0.645593 | + | 0.763682i | \(0.723390\pi\) | |||||||
\(72\) | 6.64650 | + | 5.27485i | 0.783298 | + | 0.621647i | ||||
\(73\) | 4.53913 | − | 13.9700i | 0.531265 | − | 1.63507i | −0.220318 | − | 0.975428i | \(-0.570709\pi\) |
0.751583 | − | 0.659638i | \(-0.229291\pi\) | |||||||
\(74\) | 0.338324 | − | 0.573351i | 0.0393293 | − | 0.0666507i | ||||
\(75\) | −7.46763 | − | 4.38571i | −0.862288 | − | 0.506418i | ||||
\(76\) | 3.54049 | − | 1.95542i | 0.406122 | − | 0.224302i | ||||
\(77\) | 18.9533 | + | 6.15832i | 2.15993 | + | 0.701805i | ||||
\(78\) | 3.41274 | + | 8.01898i | 0.386417 | + | 0.907971i | ||||
\(79\) | 5.87041 | − | 8.07993i | 0.660473 | − | 0.909063i | −0.339024 | − | 0.940778i | \(-0.610097\pi\) |
0.999497 | + | 0.0317146i | \(0.0100967\pi\) | |||||||
\(80\) | −7.43149 | + | 4.97725i | −0.830866 | + | 0.556473i | ||||
\(81\) | −7.42681 | + | 5.08356i | −0.825201 | + | 0.564840i | ||||
\(82\) | −10.0981 | − | 5.95870i | −1.11515 | − | 0.658028i | ||||
\(83\) | 4.74358 | − | 3.44641i | 0.520675 | − | 0.378293i | −0.296183 | − | 0.955131i | \(-0.595714\pi\) |
0.816858 | + | 0.576839i | \(0.195714\pi\) | |||||||
\(84\) | −10.6053 | + | 11.1795i | −1.15714 | + | 1.21978i | ||||
\(85\) | −0.870024 | − | 0.0916222i | −0.0943673 | − | 0.00993783i | ||||
\(86\) | −5.77500 | + | 5.10138i | −0.622734 | + | 0.550096i | ||||
\(87\) | 4.14692 | + | 13.0745i | 0.444596 | + | 1.40173i | ||||
\(88\) | 3.57086 | + | 12.1579i | 0.380655 | + | 1.29603i | ||||
\(89\) | 13.5301 | + | 4.39618i | 1.43418 | + | 0.465994i | 0.920079 | − | 0.391734i | \(-0.128125\pi\) |
0.514104 | + | 0.857728i | \(0.328125\pi\) | |||||||
\(90\) | −2.71661 | − | 9.08956i | −0.286355 | − | 0.958123i | ||||
\(91\) | −15.0521 | + | 4.89072i | −1.57789 | + | 0.512687i | ||||
\(92\) | 5.43758 | + | 2.54577i | 0.566907 | + | 0.265414i | ||||
\(93\) | −2.10158 | − | 0.0147532i | −0.217923 | − | 0.00152983i | ||||
\(94\) | −0.849510 | − | 8.89413i | −0.0876203 | − | 0.917360i | ||||
\(95\) | −4.49712 | − | 0.473592i | −0.461395 | − | 0.0485896i | ||||
\(96\) | −9.67403 | − | 1.55340i | −0.987352 | − | 0.158543i | ||||
\(97\) | 9.45285 | + | 6.86790i | 0.959792 | + | 0.697329i | 0.953102 | − | 0.302648i | \(-0.0978707\pi\) |
0.00668928 | + | 0.999978i | \(0.497871\pi\) | |||||||
\(98\) | −11.9729 | − | 13.5539i | −1.20945 | − | 1.36915i | ||||
\(99\) | −13.4387 | − | 0.188690i | −1.35064 | − | 0.0189641i | ||||
\(100\) | 9.99812 | + | 0.193960i | 0.999812 | + | 0.0193960i | ||||
\(101\) | − | 6.69608i | − | 0.666285i | −0.942876 | − | 0.333143i | \(-0.891891\pi\) | ||
0.942876 | − | 0.333143i | \(-0.108109\pi\) | |||||||
\(102\) | −0.629402 | − | 0.722673i | −0.0623201 | − | 0.0715553i | ||||
\(103\) | −3.72898 | + | 5.13250i | −0.367427 | + | 0.505720i | −0.952199 | − | 0.305477i | \(-0.901184\pi\) |
0.584772 | + | 0.811198i | \(0.301184\pi\) | |||||||
\(104\) | −7.96952 | − | 6.14447i | −0.781476 | − | 0.602515i | ||||
\(105\) | 16.8774 | − | 3.46017i | 1.64706 | − | 0.337678i | ||||
\(106\) | 3.15715 | − | 0.301550i | 0.306649 | − | 0.0292892i | ||||
\(107\) | 6.38914 | 0.617661 | 0.308831 | − | 0.951117i | \(-0.400062\pi\) | ||||
0.308831 | + | 0.951117i | \(0.400062\pi\) | |||||||
\(108\) | 4.60367 | − | 9.31699i | 0.442988 | − | 0.896527i | ||||
\(109\) | 0.451526 | + | 1.38966i | 0.0432484 | + | 0.133105i | 0.970349 | − | 0.241707i | \(-0.0777073\pi\) |
−0.927101 | + | 0.374812i | \(0.877707\pi\) | |||||||
\(110\) | 4.50833 | − | 13.4306i | 0.429853 | − | 1.28056i | ||||
\(111\) | −0.773654 | − | 0.257394i | −0.0734320 | − | 0.0244307i | ||||
\(112\) | 4.35767 | − | 17.2516i | 0.411761 | − | 1.63012i | ||||
\(113\) | −6.13733 | + | 1.99414i | −0.577352 | + | 0.187593i | −0.583114 | − | 0.812390i | \(-0.698166\pi\) |
0.00576212 | + | 0.999983i | \(0.498166\pi\) | |||||||
\(114\) | −3.25336 | − | 3.73547i | −0.304705 | − | 0.349859i | ||||
\(115\) | −3.35516 | − | 5.81404i | −0.312870 | − | 0.542162i | ||||
\(116\) | −11.5668 | − | 10.8195i | −1.07395 | − | 1.00456i | ||||
\(117\) | 8.72237 | − | 6.15195i | 0.806384 | − | 0.568748i | ||||
\(118\) | 1.60982 | − | 2.72813i | 0.148196 | − | 0.251145i | ||||
\(119\) | 1.40799 | − | 1.02296i | 0.129070 | − | 0.0937748i | ||||
\(120\) | 7.87387 | + | 7.61592i | 0.718782 | + | 0.695235i | ||||
\(121\) | −7.33824 | − | 5.33155i | −0.667113 | − | 0.484686i | ||||
\(122\) | −7.57184 | + | 3.28541i | −0.685522 | + | 0.297447i | ||||
\(123\) | −4.53333 | + | 13.6259i | −0.408756 | + | 1.22861i | ||||
\(124\) | 2.12429 | − | 1.17325i | 0.190767 | − | 0.105361i | ||||
\(125\) | −9.04107 | − | 6.57716i | −0.808658 | − | 0.588279i | ||||
\(126\) | 16.1177 | + | 9.81841i | 1.43588 | + | 0.874693i | ||||
\(127\) | 7.42220 | + | 2.41162i | 0.658614 | + | 0.213997i | 0.619208 | − | 0.785227i | \(-0.287454\pi\) |
0.0394056 | + | 0.999223i | \(0.487454\pi\) | |||||||
\(128\) | 10.6184 | − | 3.90509i | 0.938542 | − | 0.345164i | ||||
\(129\) | 7.59579 | + | 5.60055i | 0.668772 | + | 0.493101i | ||||
\(130\) | 3.37281 | + | 10.7335i | 0.295815 | + | 0.941394i | ||||
\(131\) | −9.44141 | + | 6.85959i | −0.824900 | + | 0.599325i | −0.918112 | − | 0.396322i | \(-0.870287\pi\) |
0.0932120 | + | 0.995646i | \(0.470287\pi\) | |||||||
\(132\) | 13.6373 | − | 7.40746i | 1.18698 | − | 0.644736i | ||||
\(133\) | 7.27783 | − | 5.28766i | 0.631068 | − | 0.458498i | ||||
\(134\) | −2.52559 | + | 11.3509i | −0.218178 | + | 0.980570i | ||||
\(135\) | −10.1836 | + | 5.59422i | −0.876461 | + | 0.481474i | ||||
\(136\) | 1.04226 | + | 0.371790i | 0.0893732 | + | 0.0318808i | ||||
\(137\) | −18.6455 | + | 6.05827i | −1.59299 | + | 0.517593i | −0.965360 | − | 0.260920i | \(-0.915974\pi\) |
−0.627628 | + | 0.778513i | \(0.715974\pi\) | |||||||
\(138\) | 1.64743 | − | 7.16647i | 0.140238 | − | 0.610050i | ||||
\(139\) | 10.8688 | + | 3.53149i | 0.921880 | + | 0.299537i | 0.731238 | − | 0.682123i | \(-0.238943\pi\) |
0.190642 | + | 0.981660i | \(0.438943\pi\) | |||||||
\(140\) | −15.0366 | + | 13.0253i | −1.27083 | + | 1.10084i | ||||
\(141\) | −10.4305 | + | 3.30831i | −0.878409 | + | 0.278610i | ||||
\(142\) | −0.166360 | − | 1.74174i | −0.0139606 | − | 0.146164i | ||||
\(143\) | 15.9393 | 1.33291 | ||||||||
\(144\) | 0.632103 | + | 11.9833i | 0.0526753 | + | 0.998612i | ||||
\(145\) | 3.67813 | + | 17.3216i | 0.305452 | + | 1.43848i | ||||
\(146\) | 19.0567 | − | 8.26869i | 1.57715 | − | 0.684322i | ||||
\(147\) | −13.1445 | + | 17.8273i | −1.08414 | + | 1.47037i | ||||
\(148\) | 0.924460 | − | 0.178223i | 0.0759901 | − | 0.0146498i | ||||
\(149\) | 6.42585i | 0.526426i | 0.964738 | + | 0.263213i | \(0.0847823\pi\) | ||||
−0.964738 | + | 0.263213i | \(0.915218\pi\) | |||||||
\(150\) | −2.34331 | − | 12.0212i | −0.191330 | − | 0.981526i | ||||
\(151\) | 1.05274i | 0.0856707i | 0.999082 | + | 0.0428354i | \(0.0136391\pi\) | ||||
−0.999082 | + | 0.0428354i | \(0.986361\pi\) | |||||||
\(152\) | 5.38742 | + | 1.92177i | 0.436977 | + | 0.155876i | ||||
\(153\) | −0.703155 | + | 0.939775i | −0.0568467 | + | 0.0759763i | ||||
\(154\) | 11.2183 | + | 25.8546i | 0.903994 | + | 2.08342i | ||||
\(155\) | −2.69827 | − | 0.284155i | −0.216730 | − | 0.0228239i | ||||
\(156\) | −5.30409 | + | 11.1251i | −0.424667 | + | 0.890722i | ||||
\(157\) | 5.30828 | 0.423647 | 0.211823 | − | 0.977308i | \(-0.432060\pi\) | ||||
0.211823 | + | 0.977308i | \(0.432060\pi\) | |||||||
\(158\) | 14.0602 | − | 1.34294i | 1.11857 | − | 0.106839i | ||||
\(159\) | −1.17435 | − | 3.70252i | −0.0931322 | − | 0.293629i | ||||
\(160\) | −12.2333 | − | 3.21660i | −0.967127 | − | 0.254295i | ||||
\(161\) | 12.7004 | + | 4.12661i | 1.00093 | + | 0.325223i | ||||
\(162\) | −12.3416 | − | 3.11210i | −0.969647 | − | 0.244510i | ||||
\(163\) | 3.63364 | − | 1.18064i | 0.284609 | − | 0.0924749i | −0.163234 | − | 0.986587i | \(-0.552193\pi\) |
0.447842 | + | 0.894112i | \(0.352193\pi\) | |||||||
\(164\) | −3.13894 | − | 16.2820i | −0.245110 | − | 1.27141i | ||||
\(165\) | −17.2424 | − | 1.93828i | −1.34232 | − | 0.150895i | ||||
\(166\) | 8.09414 | + | 1.80095i | 0.628227 | + | 0.139781i | ||||
\(167\) | −9.33350 | + | 6.78118i | −0.722248 | + | 0.524744i | −0.887102 | − | 0.461574i | \(-0.847285\pi\) |
0.164854 | + | 0.986318i | \(0.447285\pi\) | |||||||
\(168\) | −21.7787 | − | 0.773579i | −1.68026 | − | 0.0596829i | ||||
\(169\) | 0.276303 | − | 0.200746i | 0.0212541 | − | 0.0154420i | ||||
\(170\) | −0.717468 | − | 1.00792i | −0.0550273 | − | 0.0773043i | ||||
\(171\) | −3.63458 | + | 4.85767i | −0.277944 | + | 0.371475i | ||||
\(172\) | −10.8139 | − | 1.34466i | −0.824555 | − | 0.102529i | ||||
\(173\) | 20.8699 | + | 6.78105i | 1.58671 | + | 0.515553i | 0.963774 | − | 0.266719i | \(-0.0859396\pi\) |
0.622936 | + | 0.782273i | \(0.285940\pi\) | |||||||
\(174\) | −9.97505 | + | 16.6366i | −0.756206 | + | 1.26122i | ||||
\(175\) | 22.1209 | − | 2.31589i | 1.67218 | − | 0.175065i | ||||
\(176\) | −9.54286 | + | 15.1678i | −0.719320 | + | 1.14332i | ||||
\(177\) | −3.68122 | − | 1.22474i | −0.276697 | − | 0.0920568i | ||||
\(178\) | 8.00829 | + | 18.4566i | 0.600246 | + | 1.38338i | ||||
\(179\) | 16.8993 | + | 12.2781i | 1.26312 | + | 0.917707i | 0.998906 | − | 0.0467581i | \(-0.0148890\pi\) |
0.264209 | + | 0.964465i | \(0.414889\pi\) | |||||||
\(180\) | 7.09057 | − | 11.3896i | 0.528500 | − | 0.848933i | ||||
\(181\) | 4.13556 | − | 3.00466i | 0.307394 | − | 0.223335i | −0.423384 | − | 0.905951i | \(-0.639158\pi\) |
0.730777 | + | 0.682616i | \(0.239158\pi\) | |||||||
\(182\) | −19.2765 | − | 11.3747i | −1.42887 | − | 0.843149i | ||||
\(183\) | 5.88431 | + | 8.21978i | 0.434981 | + | 0.607624i | ||||
\(184\) | 2.39279 | + | 8.14684i | 0.176399 | + | 0.600593i | ||||
\(185\) | −0.961519 | − | 0.428331i | −0.0706923 | − | 0.0314915i | ||||
\(186\) | −1.95201 | − | 2.24128i | −0.143128 | − | 0.164339i | ||||
\(187\) | −1.66697 | + | 0.541631i | −0.121901 | + | 0.0396080i | ||||
\(188\) | 8.63154 | − | 9.22773i | 0.629520 | − | 0.673001i | ||||
\(189\) | 7.60407 | − | 21.8278i | 0.553114 | − | 1.58774i | ||||
\(190\) | −3.70857 | − | 5.20993i | −0.269048 | − | 0.377968i | ||||
\(191\) | 4.84899 | + | 14.9237i | 0.350861 | + | 1.07984i | 0.958371 | + | 0.285526i | \(0.0921684\pi\) |
−0.607510 | + | 0.794312i | \(0.707832\pi\) | |||||||
\(192\) | −7.41108 | − | 11.7079i | −0.534848 | − | 0.844948i | ||||
\(193\) | 4.49363 | 0.323458 | 0.161729 | − | 0.986835i | \(-0.448293\pi\) | ||||
0.161729 | + | 0.986835i | \(0.448293\pi\) | |||||||
\(194\) | 1.57113 | + | 16.4493i | 0.112801 | + | 1.18099i | ||||
\(195\) | 11.9829 | − | 6.80341i | 0.858115 | − | 0.487203i | ||||
\(196\) | 3.15591 | − | 25.3803i | 0.225422 | − | 1.81288i | ||||
\(197\) | 7.11400 | − | 9.79158i | 0.506851 | − | 0.697621i | −0.476533 | − | 0.879157i | \(-0.658107\pi\) |
0.983384 | + | 0.181536i | \(0.0581068\pi\) | |||||||
\(198\) | −12.3823 | − | 14.4204i | −0.879973 | − | 1.02481i | ||||
\(199\) | − | 20.3372i | − | 1.44166i | −0.693111 | − | 0.720831i | \(-0.743760\pi\) | ||
0.693111 | − | 0.720831i | \(-0.256240\pi\) | |||||||
\(200\) | 9.15538 | + | 10.7786i | 0.647383 | + | 0.762165i | ||||
\(201\) | 14.2416 | + | 0.0999767i | 1.00452 | + | 0.00705181i | ||||
\(202\) | 7.09720 | − | 6.26935i | 0.499357 | − | 0.441110i | ||||
\(203\) | −28.4994 | − | 20.7061i | −2.00027 | − | 1.45328i | ||||
\(204\) | 0.176672 | − | 1.34372i | 0.0123695 | − | 0.0940795i | ||||
\(205\) | −7.54394 | + | 16.9347i | −0.526892 | + | 1.18277i | ||||
\(206\) | −8.93129 | + | 0.853060i | −0.622273 | + | 0.0594355i | ||||
\(207\) | −9.00513 | − | 0.126439i | −0.625900 | − | 0.00878813i | ||||
\(208\) | −0.949099 | − | 14.1998i | −0.0658081 | − | 0.984580i | ||||
\(209\) | −8.61650 | + | 2.79967i | −0.596016 | + | 0.193657i | ||||
\(210\) | 19.4693 | + | 14.6487i | 1.34351 | + | 1.01086i | ||||
\(211\) | −19.5571 | − | 6.35448i | −1.34637 | − | 0.437461i | −0.454897 | − | 0.890544i | \(-0.650324\pi\) |
−0.891468 | + | 0.453083i | \(0.850324\pi\) | |||||||
\(212\) | 3.27556 | + | 3.06394i | 0.224967 | + | 0.210432i | ||||
\(213\) | −2.04262 | + | 0.647870i | −0.139958 | + | 0.0443913i | ||||
\(214\) | 5.98197 | + | 6.77187i | 0.408919 | + | 0.462915i | ||||
\(215\) | 9.05242 | + | 8.15417i | 0.617370 | + | 0.556110i | ||||
\(216\) | 14.1854 | − | 3.84379i | 0.965193 | − | 0.261537i | ||||
\(217\) | 4.36669 | − | 3.17259i | 0.296430 | − | 0.215369i | ||||
\(218\) | −1.05015 | + | 1.77967i | −0.0711250 | + | 0.120534i | ||||
\(219\) | −14.8096 | − | 20.6875i | −1.00074 | − | 1.39793i | ||||
\(220\) | 18.4561 | − | 7.79629i | 1.24431 | − | 0.525626i | ||||
\(221\) | 0.818183 | − | 1.12613i | 0.0550369 | − | 0.0757518i | ||||
\(222\) | −0.451538 | − | 1.06099i | −0.0303053 | − | 0.0712089i | ||||
\(223\) | 15.7150 | + | 5.10611i | 1.05235 | + | 0.341930i | 0.783591 | − | 0.621277i | \(-0.213386\pi\) |
0.268761 | + | 0.963207i | \(0.413386\pi\) | |||||||
\(224\) | 22.3650 | − | 11.5335i | 1.49432 | − | 0.770612i | ||||
\(225\) | −13.7899 | + | 5.90245i | −0.919326 | + | 0.393497i | ||||
\(226\) | −7.85981 | − | 4.63792i | −0.522827 | − | 0.308510i | ||||
\(227\) | 0.928387 | − | 2.85728i | 0.0616192 | − | 0.189645i | −0.915508 | − | 0.402300i | \(-0.868211\pi\) |
0.977127 | + | 0.212655i | \(0.0682110\pi\) | |||||||
\(228\) | 0.913213 | − | 6.94566i | 0.0604790 | − | 0.459988i | ||||
\(229\) | 3.25202 | + | 2.36273i | 0.214900 | + | 0.156134i | 0.690028 | − | 0.723783i | \(-0.257598\pi\) |
−0.475128 | + | 0.879917i | \(0.657598\pi\) | |||||||
\(230\) | 3.02098 | − | 8.99967i | 0.199197 | − | 0.593421i | ||||
\(231\) | 28.0670 | − | 20.0924i | 1.84668 | − | 1.32198i | ||||
\(232\) | 0.637946 | − | 22.3897i | 0.0418832 | − | 1.46995i | ||||
\(233\) | −5.51252 | − | 7.58733i | −0.361137 | − | 0.497063i | 0.589328 | − | 0.807894i | \(-0.299393\pi\) |
−0.950465 | + | 0.310831i | \(0.899393\pi\) | |||||||
\(234\) | 14.6870 | + | 3.48497i | 0.960118 | + | 0.227820i | ||||
\(235\) | −13.8187 | + | 2.93433i | −0.901436 | + | 0.191414i | ||||
\(236\) | 4.39878 | − | 0.848023i | 0.286336 | − | 0.0552016i | ||||
\(237\) | −5.22993 | − | 16.4891i | −0.339721 | − | 1.07108i | ||||
\(238\) | 2.40250 | + | 0.534558i | 0.155731 | + | 0.0346503i | ||||
\(239\) | −0.479017 | + | 1.47426i | −0.0309850 | + | 0.0953621i | −0.965353 | − | 0.260947i | \(-0.915965\pi\) |
0.934368 | + | 0.356309i | \(0.115965\pi\) | |||||||
\(240\) | −0.700055 | + | 15.4761i | −0.0451883 | + | 0.998978i | ||||
\(241\) | 0.380229 | + | 1.17023i | 0.0244927 | + | 0.0753808i | 0.962556 | − | 0.271084i | \(-0.0873821\pi\) |
−0.938063 | + | 0.346465i | \(0.887382\pi\) | |||||||
\(242\) | −1.21967 | − | 12.7696i | −0.0784034 | − | 0.820861i | ||||
\(243\) | −0.547037 | + | 15.5789i | −0.0350925 | + | 0.999384i | ||||
\(244\) | −10.5715 | − | 4.94937i | −0.676772 | − | 0.316851i | ||||
\(245\) | −19.1378 | + | 21.2460i | −1.22267 | + | 1.35736i | ||||
\(246\) | −18.6866 | + | 7.95269i | −1.19141 | + | 0.507045i | ||||
\(247\) | 4.22916 | − | 5.82094i | 0.269095 | − | 0.370378i | ||||
\(248\) | 3.23244 | + | 1.15306i | 0.205260 | + | 0.0732194i | ||||
\(249\) | 0.0712916 | − | 10.1554i | 0.00451792 | − | 0.643574i | ||||
\(250\) | −1.49375 | − | 15.7407i | −0.0944729 | − | 0.995527i | ||||
\(251\) | −20.1812 | −1.27382 | −0.636912 | − | 0.770937i | \(-0.719788\pi\) | ||||
−0.636912 | + | 0.770937i | \(0.719788\pi\) | |||||||
\(252\) | 4.68401 | + | 26.2759i | 0.295065 | + | 1.65523i | ||||
\(253\) | −10.8805 | − | 7.90515i | −0.684052 | − | 0.496993i | ||||
\(254\) | 4.39312 | + | 10.1247i | 0.275649 | + | 0.635283i | ||||
\(255\) | −1.02201 | + | 1.11870i | −0.0640010 | + | 0.0700559i | ||||
\(256\) | 14.0807 | + | 7.59825i | 0.880045 | + | 0.474890i | ||||
\(257\) | − | 26.8707i | − | 1.67615i | −0.545558 | − | 0.838073i | \(-0.683682\pi\) | ||
0.545558 | − | 0.838073i | \(-0.316318\pi\) | |||||||
\(258\) | 1.17568 | + | 13.2944i | 0.0731948 | + | 0.827675i | ||||
\(259\) | 1.99154 | − | 0.647089i | 0.123748 | − | 0.0402082i | ||||
\(260\) | −8.21865 | + | 13.6244i | −0.509699 | + | 0.844947i | ||||
\(261\) | 22.4894 | + | 7.65796i | 1.39206 | + | 0.474016i | ||||
\(262\) | −16.1102 | − | 3.58454i | −0.995293 | − | 0.221454i | ||||
\(263\) | 7.19187 | + | 22.1343i | 0.443470 | + | 1.36486i | 0.884153 | + | 0.467197i | \(0.154736\pi\) |
−0.440684 | + | 0.897662i | \(0.645264\pi\) | |||||||
\(264\) | 20.6194 | + | 7.51884i | 1.26904 | + | 0.462752i | ||||
\(265\) | −1.04160 | − | 4.90524i | −0.0639848 | − | 0.301326i | ||||
\(266\) | 12.4184 | + | 2.76311i | 0.761423 | + | 0.169417i | ||||
\(267\) | 20.0360 | − | 14.3432i | 1.22618 | − | 0.877788i | ||||
\(268\) | −14.3955 | + | 7.95067i | −0.879346 | + | 0.485664i | ||||
\(269\) | −14.3549 | − | 19.7578i | −0.875233 | − | 1.20465i | −0.977719 | − | 0.209920i | \(-0.932680\pi\) |
0.102486 | − | 0.994734i | \(-0.467320\pi\) | |||||||
\(270\) | −15.4639 | − | 5.55587i | −0.941103 | − | 0.338119i | ||||
\(271\) | −6.36896 | + | 8.76613i | −0.386887 | + | 0.532504i | −0.957393 | − | 0.288789i | \(-0.906747\pi\) |
0.570506 | + | 0.821294i | \(0.306747\pi\) | |||||||
\(272\) | 0.581779 | + | 1.45279i | 0.0352755 | + | 0.0880885i | ||||
\(273\) | −8.65378 | + | 26.0109i | −0.523751 | + | 1.57425i | ||||
\(274\) | −23.8784 | − | 14.0902i | −1.44255 | − | 0.851219i | ||||
\(275\) | −21.9087 | − | 4.66616i | −1.32114 | − | 0.281380i | ||||
\(276\) | 9.13820 | − | 4.96365i | 0.550055 | − | 0.298777i | ||||
\(277\) | −8.74527 | + | 26.9152i | −0.525452 | + | 1.61718i | 0.237967 | + | 0.971273i | \(0.423519\pi\) |
−0.763420 | + | 0.645903i | \(0.776481\pi\) | |||||||
\(278\) | 6.43312 | + | 14.8263i | 0.385833 | + | 0.889223i | ||||
\(279\) | −2.18075 | + | 2.91459i | −0.130558 | + | 0.174492i | ||||
\(280\) | −27.8839 | − | 3.74218i | −1.66638 | − | 0.223638i | ||||
\(281\) | −1.34596 | − | 1.85256i | −0.0802933 | − | 0.110514i | 0.766981 | − | 0.641670i | \(-0.221758\pi\) |
−0.847274 | + | 0.531155i | \(0.821758\pi\) | |||||||
\(282\) | −13.2723 | − | 7.95787i | −0.790354 | − | 0.473884i | ||||
\(283\) | −4.87581 | − | 6.71097i | −0.289837 | − | 0.398926i | 0.639124 | − | 0.769103i | \(-0.279297\pi\) |
−0.928961 | + | 0.370177i | \(0.879297\pi\) | |||||||
\(284\) | 1.69032 | − | 1.80707i | 0.100302 | − | 0.107230i | ||||
\(285\) | −5.28275 | + | 5.78254i | −0.312923 | + | 0.342528i | ||||
\(286\) | 14.9236 | + | 16.8942i | 0.882449 | + | 0.998973i | ||||
\(287\) | −11.3968 | − | 35.0758i | −0.672733 | − | 2.07046i | ||||
\(288\) | −12.1094 | + | 11.8896i | −0.713551 | + | 0.700603i | ||||
\(289\) | 5.20599 | − | 16.0224i | 0.306235 | − | 0.942493i | ||||
\(290\) | −14.9155 | + | 20.1162i | −0.875866 | + | 1.18126i | ||||
\(291\) | 19.2908 | − | 6.11859i | 1.13085 | − | 0.358678i | ||||
\(292\) | 26.6063 | + | 12.4565i | 1.55702 | + | 0.728964i | ||||
\(293\) | 0.643074i | 0.0375688i | 0.999824 | + | 0.0187844i | \(0.00597961\pi\) | ||||
−0.999824 | + | 0.0187844i | \(0.994020\pi\) | |||||||
\(294\) | −31.2020 | + | 2.75933i | −1.81974 | + | 0.160927i | ||||
\(295\) | −4.57512 | − | 2.03809i | −0.266374 | − | 0.118662i | ||||
\(296\) | 1.05444 | + | 0.812973i | 0.0612884 | + | 0.0472531i | ||||
\(297\) | −14.0765 | + | 18.5407i | −0.816803 | + | 1.07584i | ||||
\(298\) | −6.81078 | + | 6.01635i | −0.394538 | + | 0.348518i | ||||
\(299\) | 10.6808 | 0.617684 | ||||||||
\(300\) | 10.5473 | − | 13.7388i | 0.608950 | − | 0.793209i | ||||
\(301\) | −24.2374 | −1.39702 | ||||||||
\(302\) | −1.11580 | + | 0.985651i | −0.0642072 | + | 0.0567178i | ||||
\(303\) | −9.33486 | − | 6.88281i | −0.536273 | − | 0.395407i | ||||
\(304\) | 3.00720 | + | 7.50944i | 0.172474 | + | 0.430696i | ||||
\(305\) | 6.52297 | + | 11.3034i | 0.373504 | + | 0.647232i | ||||
\(306\) | −1.65442 | + | 0.134609i | −0.0945766 | + | 0.00769510i | ||||
\(307\) | − | 13.7770i | − | 0.786297i | −0.919475 | − | 0.393149i | \(-0.871386\pi\) | ||
0.919475 | − | 0.393149i | \(-0.128614\pi\) | |||||||
\(308\) | −16.9000 | + | 36.0972i | −0.962966 | + | 2.05683i | ||||
\(309\) | 3.32214 | + | 10.4741i | 0.188990 | + | 0.595851i | ||||
\(310\) | −2.22514 | − | 3.12595i | −0.126379 | − | 0.177542i | ||||
\(311\) | 5.38557 | − | 16.5751i | 0.305387 | − | 0.939886i | −0.674145 | − | 0.738599i | \(-0.735488\pi\) |
0.979532 | − | 0.201287i | \(-0.0645123\pi\) | |||||||
\(312\) | −16.7576 | + | 4.79432i | −0.948713 | + | 0.271425i | ||||
\(313\) | −6.19251 | − | 19.0586i | −0.350021 | − | 1.07726i | −0.958840 | − | 0.283946i | \(-0.908356\pi\) |
0.608819 | − | 0.793309i | \(-0.291644\pi\) | |||||||
\(314\) | 4.96999 | + | 5.62626i | 0.280473 | + | 0.317508i | ||||
\(315\) | 12.5243 | − | 27.0850i | 0.705662 | − | 1.52607i | ||||
\(316\) | 14.5876 | + | 13.6451i | 0.820617 | + | 0.767599i | ||||
\(317\) | 5.91187 | + | 8.13699i | 0.332044 | + | 0.457019i | 0.942097 | − | 0.335342i | \(-0.108852\pi\) |
−0.610053 | + | 0.792361i | \(0.708852\pi\) | |||||||
\(318\) | 2.82480 | − | 4.71127i | 0.158407 | − | 0.264195i | ||||
\(319\) | 20.8534 | + | 28.7023i | 1.16757 | + | 1.60702i | ||||
\(320\) | −8.04441 | − | 15.9777i | −0.449696 | − | 0.893182i | ||||
\(321\) | 6.56730 | − | 8.90695i | 0.366551 | − | 0.497138i | ||||
\(322\) | 7.51723 | + | 17.3248i | 0.418919 | + | 0.965475i | ||||
\(323\) | −0.244494 | + | 0.752475i | −0.0136040 | + | 0.0418688i | ||||
\(324\) | −8.25656 | − | 15.9947i | −0.458698 | − | 0.888592i | ||||
\(325\) | 16.2543 | − | 7.22897i | 0.901629 | − | 0.400991i | ||||
\(326\) | 4.65344 | + | 2.74590i | 0.257730 | + | 0.152082i | ||||
\(327\) | 2.40140 | + | 0.798944i | 0.132798 | + | 0.0441817i | ||||
\(328\) | 14.3184 | − | 18.5713i | 0.790603 | − | 1.02543i | ||||
\(329\) | 16.5188 | − | 22.7362i | 0.910712 | − | 1.25349i | ||||
\(330\) | −14.0892 | − | 20.0901i | −0.775586 | − | 1.10592i | ||||
\(331\) | −1.20470 | − | 1.65813i | −0.0662164 | − | 0.0911390i | 0.774624 | − | 0.632422i | \(-0.217939\pi\) |
−0.840841 | + | 0.541283i | \(0.817939\pi\) | |||||||
\(332\) | 5.66948 | + | 10.2652i | 0.311153 | + | 0.563375i | ||||
\(333\) | −1.15405 | + | 0.813962i | −0.0632418 | + | 0.0446049i | ||||
\(334\) | −15.9261 | − | 3.54357i | −0.871437 | − | 0.193896i | ||||
\(335\) | 18.2852 | + | 1.92561i | 0.999025 | + | 0.105207i | ||||
\(336\) | −19.5709 | − | 23.8076i | −1.06768 | − | 1.29881i | ||||
\(337\) | 2.76950 | + | 8.52366i | 0.150864 | + | 0.464313i | 0.997718 | − | 0.0675124i | \(-0.0215062\pi\) |
−0.846854 | + | 0.531826i | \(0.821506\pi\) | |||||||
\(338\) | 0.471466 | + | 0.104902i | 0.0256444 | + | 0.00570590i | ||||
\(339\) | −3.52849 | + | 10.6057i | −0.191641 | + | 0.576021i | ||||
\(340\) | 0.396556 | − | 1.70414i | 0.0215063 | − | 0.0924199i | ||||
\(341\) | −5.16989 | + | 1.67980i | −0.279965 | + | 0.0909662i | ||||
\(342\) | −8.55162 | + | 0.695791i | −0.462419 | + | 0.0376241i | ||||
\(343\) | − | 25.7466i | − | 1.39019i | ||||||
\(344\) | −8.69959 | − | 12.7207i | −0.469050 | − | 0.685854i | ||||
\(345\) | −11.5539 | − | 1.29882i | −0.622044 | − | 0.0699259i | ||||
\(346\) | 12.3527 | + | 28.4690i | 0.664084 | + | 1.53050i | ||||
\(347\) | 18.8668 | + | 13.7075i | 1.01282 | + | 0.735859i | 0.964799 | − | 0.262987i | \(-0.0847078\pi\) |
0.0480234 | + | 0.998846i | \(0.484708\pi\) | |||||||
\(348\) | −26.9726 | + | 5.00381i | −1.44588 | + | 0.268232i | ||||
\(349\) | −28.4564 | −1.52324 | −0.761619 | − | 0.648025i | \(-0.775595\pi\) | ||||
−0.761619 | + | 0.648025i | \(0.775595\pi\) | |||||||
\(350\) | 23.1658 | + | 21.2777i | 1.23826 | + | 1.13734i | ||||
\(351\) | 0.389309 | − | 18.4832i | 0.0207798 | − | 0.986558i | ||||
\(352\) | −25.0111 | + | 4.08671i | −1.33310 | + | 0.217822i | ||||
\(353\) | −13.9044 | + | 19.1378i | −0.740058 | + | 1.01860i | 0.258558 | + | 0.965996i | \(0.416753\pi\) |
−0.998615 | + | 0.0526061i | \(0.983247\pi\) | |||||||
\(354\) | −2.14852 | − | 5.04842i | −0.114192 | − | 0.268320i | ||||
\(355\) | −2.70614 | + | 0.574631i | −0.143627 | + | 0.0304983i | ||||
\(356\) | −12.0642 | + | 25.7684i | −0.639403 | + | 1.36572i | ||||
\(357\) | 0.0211607 | − | 3.01433i | 0.00111995 | − | 0.159535i | ||||
\(358\) | 2.80880 | + | 29.4073i | 0.148449 | + | 1.55422i | ||||
\(359\) | −8.22215 | − | 25.3052i | −0.433948 | − | 1.33556i | −0.894161 | − | 0.447747i | \(-0.852227\pi\) |
0.460212 | − | 0.887809i | \(-0.347773\pi\) | |||||||
\(360\) | 18.7106 | − | 3.14849i | 0.986136 | − | 0.165940i | ||||
\(361\) | 4.60754 | − | 14.1806i | 0.242502 | − | 0.746345i | ||||
\(362\) | 7.05666 | + | 1.57011i | 0.370890 | + | 0.0825234i | ||||
\(363\) | −14.9755 | + | 4.74986i | −0.786008 | + | 0.249303i | ||||
\(364\) | −5.99199 | − | 31.0811i | −0.314066 | − | 1.62909i | ||||
\(365\) | −16.4169 | − | 28.4484i | −0.859302 | − | 1.48906i | ||||
\(366\) | −3.20286 | + | 13.9328i | −0.167416 | + | 0.728277i | ||||
\(367\) | 8.78119 | + | 12.0863i | 0.458374 | + | 0.630898i | 0.974171 | − | 0.225813i | \(-0.0725039\pi\) |
−0.515796 | + | 0.856711i | \(0.672504\pi\) | |||||||
\(368\) | −6.39455 | + | 10.1638i | −0.333339 | + | 0.529824i | ||||
\(369\) | 14.3359 | + | 20.3257i | 0.746295 | + | 1.05811i | ||||
\(370\) | −0.446255 | − | 1.42015i | −0.0231997 | − | 0.0738302i | ||||
\(371\) | 8.07067 | + | 5.86368i | 0.419008 | + | 0.304427i | ||||
\(372\) | 0.547927 | − | 4.16739i | 0.0284087 | − | 0.216069i | ||||
\(373\) | 0.0985837 | − | 0.303410i | 0.00510447 | − | 0.0157100i | −0.948472 | − | 0.316861i | \(-0.897371\pi\) |
0.953576 | + | 0.301151i | \(0.0973710\pi\) | |||||||
\(374\) | −2.13481 | − | 1.25971i | −0.110388 | − | 0.0651381i | ||||
\(375\) | −18.4623 | + | 5.84338i | −0.953387 | + | 0.301751i | ||||
\(376\) | 17.8620 | + | 0.508939i | 0.921161 | + | 0.0262465i | ||||
\(377\) | −26.7964 | − | 8.70667i | −1.38008 | − | 0.448416i | ||||
\(378\) | 30.2548 | − | 12.3772i | 1.55614 | − | 0.636612i | ||||
\(379\) | −18.1154 | + | 24.9337i | −0.930525 | + | 1.28076i | 0.0291297 | + | 0.999576i | \(0.490726\pi\) |
−0.959654 | + | 0.281182i | \(0.909274\pi\) | |||||||
\(380\) | 2.04979 | − | 8.80863i | 0.105152 | − | 0.451873i | ||||
\(381\) | 10.9912 | − | 7.86826i | 0.563094 | − | 0.403103i | ||||
\(382\) | −11.2777 | + | 19.1121i | −0.577015 | + | 0.977859i | ||||
\(383\) | 8.09394 | − | 5.88059i | 0.413581 | − | 0.300484i | −0.361469 | − | 0.932384i | \(-0.617725\pi\) |
0.775050 | + | 0.631900i | \(0.217725\pi\) | |||||||
\(384\) | 5.47050 | − | 18.8168i | 0.279165 | − | 0.960243i | ||||
\(385\) | 38.5963 | − | 22.2731i | 1.96705 | − | 1.13514i | ||||
\(386\) | 4.20726 | + | 4.76281i | 0.214144 | + | 0.242421i | ||||
\(387\) | 15.6152 | − | 4.83239i | 0.793765 | − | 0.245644i | ||||
\(388\) | −15.9637 | + | 17.0663i | −0.810433 | + | 0.866410i | ||||
\(389\) | −23.4799 | − | 7.62910i | −1.19048 | − | 0.386811i | −0.354230 | − | 0.935158i | \(-0.615257\pi\) |
−0.836250 | + | 0.548348i | \(0.815257\pi\) | |||||||
\(390\) | 18.4302 | + | 6.33090i | 0.933252 | + | 0.320578i | ||||
\(391\) | −1.11702 | + | 0.362940i | −0.0564899 | + | 0.0183547i | ||||
\(392\) | 29.8555 | − | 20.4179i | 1.50793 | − | 1.03126i | ||||
\(393\) | −0.141896 | + | 20.2129i | −0.00715769 | + | 1.01961i | ||||
\(394\) | 17.0388 | − | 1.62743i | 0.858400 | − | 0.0819889i | ||||
\(395\) | −4.63872 | − | 21.8453i | −0.233399 | − | 1.09916i | ||||
\(396\) | 3.69103 | − | 26.6255i | 0.185481 | − | 1.33798i | ||||
\(397\) | 18.6495 | + | 13.5496i | 0.935989 | + | 0.680036i | 0.947452 | − | 0.319898i | \(-0.103649\pi\) |
−0.0114626 | + | 0.999934i | \(0.503649\pi\) | |||||||
\(398\) | 21.5554 | − | 19.0411i | 1.08047 | − | 0.954444i | ||||
\(399\) | 0.109379 | − | 15.5810i | 0.00547581 | − | 0.780024i | ||||
\(400\) | −2.85238 | + | 19.7956i | −0.142619 | + | 0.989778i | ||||
\(401\) | − | 24.8480i | − | 1.24085i | −0.784266 | − | 0.620425i | \(-0.786960\pi\) | ||
0.784266 | − | 0.620425i | \(-0.213040\pi\) | |||||||
\(402\) | 13.2280 | + | 15.1883i | 0.659755 | + | 0.757524i | ||||
\(403\) | 2.53749 | − | 3.49256i | 0.126401 | − | 0.173977i | ||||
\(404\) | 13.2898 | + | 1.65252i | 0.661193 | + | 0.0822160i | ||||
\(405\) | −2.66875 | + | 19.9469i | −0.132611 | + | 0.991168i | ||||
\(406\) | −4.73682 | − | 49.5931i | −0.235084 | − | 2.46127i | ||||
\(407\) | −2.10893 | −0.104536 | ||||||||
\(408\) | 1.58963 | − | 1.07084i | 0.0786984 | − | 0.0530142i | ||||
\(409\) | 4.31358 | + | 13.2758i | 0.213293 | + | 0.656448i | 0.999270 | + | 0.0381931i | \(0.0121602\pi\) |
−0.785977 | + | 0.618255i | \(0.787840\pi\) | |||||||
\(410\) | −25.0123 | + | 7.85963i | −1.23527 | + | 0.388159i | ||||
\(411\) | −10.7197 | + | 32.2204i | −0.528763 | + | 1.58932i | ||||
\(412\) | −9.26628 | − | 8.66761i | −0.456517 | − | 0.427022i | ||||
\(413\) | 9.47617 | − | 3.07899i | 0.466292 | − | 0.151507i | ||||
\(414\) | −8.29724 | − | 9.66295i | −0.407787 | − | 0.474908i | ||||
\(415\) | 1.37312 | − | 13.0388i | 0.0674038 | − | 0.640051i | ||||
\(416\) | 14.1618 | − | 14.3008i | 0.694340 | − | 0.701157i | ||||
\(417\) | 16.0950 | − | 11.5220i | 0.788178 | − | 0.564234i | ||||
\(418\) | −11.0348 | − | 6.51140i | −0.539728 | − | 0.318483i | ||||
\(419\) | 15.6018 | − | 11.3354i | 0.762197 | − | 0.553768i | −0.137387 | − | 0.990517i | \(-0.543870\pi\) |
0.899583 | + | 0.436749i | \(0.143870\pi\) | |||||||
\(420\) | 2.70229 | + | 34.3507i | 0.131858 | + | 1.67614i | ||||
\(421\) | 6.56550 | + | 4.77011i | 0.319983 | + | 0.232481i | 0.736168 | − | 0.676799i | \(-0.236633\pi\) |
−0.416185 | + | 0.909280i | \(0.636633\pi\) | |||||||
\(422\) | −11.5756 | − | 26.6781i | −0.563492 | − | 1.29867i | ||||
\(423\) | −6.10934 | + | 17.9415i | −0.297046 | + | 0.872347i | ||||
\(424\) | −0.180658 | + | 6.34046i | −0.00877353 | + | 0.307920i | ||||
\(425\) | −1.45427 | + | 1.30835i | −0.0705422 | + | 0.0634645i | ||||
\(426\) | −2.59913 | − | 1.55840i | −0.125928 | − | 0.0755045i | ||||
\(427\) | −24.6916 | − | 8.02279i | −1.19491 | − | 0.388250i | ||||
\(428\) | −1.57677 | + | 12.6806i | −0.0762161 | + | 0.612941i | ||||
\(429\) | 16.3838 | − | 22.2207i | 0.791018 | − | 1.07282i | ||||
\(430\) | −0.167105 | + | 17.2292i | −0.00805852 | + | 0.830866i | ||||
\(431\) | −17.7471 | + | 12.8940i | −0.854848 | + | 0.621084i | −0.926479 | − | 0.376348i | \(-0.877180\pi\) |
0.0716303 | + | 0.997431i | \(0.477180\pi\) | |||||||
\(432\) | 17.3554 | + | 11.4363i | 0.835014 | + | 0.550229i | ||||
\(433\) | −4.11462 | + | 2.98945i | −0.197736 | + | 0.143664i | −0.682248 | − | 0.731121i | \(-0.738997\pi\) |
0.484511 | + | 0.874785i | \(0.338997\pi\) | |||||||
\(434\) | 7.45105 | + | 1.65787i | 0.357662 | + | 0.0795801i | ||||
\(435\) | 27.9283 | + | 12.6770i | 1.33906 | + | 0.607815i | ||||
\(436\) | −2.86950 | + | 0.553200i | −0.137424 | + | 0.0264935i | ||||
\(437\) | −5.77381 | + | 1.87603i | −0.276199 | + | 0.0897425i | ||||
\(438\) | 8.06093 | − | 35.0658i | 0.385166 | − | 1.67551i | ||||
\(439\) | −0.610863 | − | 0.198481i | −0.0291549 | − | 0.00947300i | 0.294403 | − | 0.955681i | \(-0.404879\pi\) |
−0.323558 | + | 0.946208i | \(0.604879\pi\) | |||||||
\(440\) | 25.5433 | + | 12.2623i | 1.21773 | + | 0.584581i | ||||
\(441\) | 11.3416 | + | 36.6489i | 0.540077 | + | 1.74518i | ||||
\(442\) | 1.95963 | − | 0.187171i | 0.0932102 | − | 0.00890284i | ||||
\(443\) | 8.12281 | 0.385926 | 0.192963 | − | 0.981206i | \(-0.438190\pi\) | ||||
0.192963 | + | 0.981206i | \(0.438190\pi\) | |||||||
\(444\) | 0.701782 | − | 1.47196i | 0.0333051 | − | 0.0698562i | ||||
\(445\) | 27.5524 | − | 15.8999i | 1.30611 | − | 0.753729i | ||||
\(446\) | 9.30152 | + | 21.4371i | 0.440440 | + | 1.01507i | ||||
\(447\) | 8.95814 | + | 6.60504i | 0.423705 | + | 0.312408i | ||||
\(448\) | 33.1640 | + | 12.9062i | 1.56685 | + | 0.609762i | ||||
\(449\) | 29.2373i | 1.37980i | 0.723907 | + | 0.689898i | \(0.242344\pi\) | ||||
−0.723907 | + | 0.689898i | \(0.757656\pi\) | |||||||
\(450\) | −19.1671 | − | 9.08965i | −0.903546 | − | 0.428490i | ||||
\(451\) | 37.1434i | 1.74901i | ||||||||
\(452\) | −2.44317 | − | 12.6730i | −0.114917 | − | 0.596087i | ||||
\(453\) | 1.46760 | + | 1.08210i | 0.0689539 | + | 0.0508413i | ||||
\(454\) | 3.89767 | − | 1.69119i | 0.182927 | − | 0.0793716i | ||||
\(455\) | −14.4008 | + | 32.3271i | −0.675121 | + | 1.51552i | ||||
\(456\) | 8.21675 | − | 5.53511i | 0.384784 | − | 0.259205i | ||||
\(457\) | −33.5880 | −1.57118 | −0.785591 | − | 0.618746i | \(-0.787641\pi\) | ||||
−0.785591 | + | 0.618746i | \(0.787641\pi\) | |||||||
\(458\) | 0.540510 | + | 5.65899i | 0.0252564 | + | 0.264427i | ||||
\(459\) | 0.587357 | + | 1.94623i | 0.0274155 | + | 0.0908424i | ||||
\(460\) | 12.3672 | − | 5.22420i | 0.576626 | − | 0.243580i | ||||
\(461\) | −9.16328 | − | 2.97733i | −0.426777 | − | 0.138668i | 0.0877500 | − | 0.996143i | \(-0.472032\pi\) |
−0.514527 | + | 0.857474i | \(0.672032\pi\) | |||||||
\(462\) | 47.5744 | + | 10.9364i | 2.21336 | + | 0.508807i | ||||
\(463\) | −27.0938 | + | 8.80331i | −1.25916 | + | 0.409125i | −0.861194 | − | 0.508277i | \(-0.830283\pi\) |
−0.397963 | + | 0.917402i | \(0.630283\pi\) | |||||||
\(464\) | 24.3282 | − | 20.2867i | 1.12941 | − | 0.941785i | ||||
\(465\) | −3.16965 | + | 3.46952i | −0.146989 | + | 0.160895i | ||||
\(466\) | 2.88062 | − | 12.9465i | 0.133442 | − | 0.599737i | ||||
\(467\) | −18.0050 | + | 13.0814i | −0.833171 | + | 0.605334i | −0.920455 | − | 0.390849i | \(-0.872181\pi\) |
0.0872836 | + | 0.996184i | \(0.472181\pi\) | |||||||
\(468\) | 10.0573 | + | 18.8297i | 0.464898 | + | 0.870401i | ||||
\(469\) | −29.5914 | + | 21.4994i | −1.36641 | + | 0.992752i | ||||
\(470\) | −16.0482 | − | 11.8992i | −0.740249 | − | 0.548870i | ||||
\(471\) | 5.45630 | − | 7.40015i | 0.251413 | − | 0.340981i | ||||
\(472\) | 5.01728 | + | 3.86830i | 0.230939 | + | 0.178053i | ||||
\(473\) | 23.2152 | + | 7.54307i | 1.06743 | + | 0.346831i | ||||
\(474\) | 12.5802 | − | 20.9815i | 0.577826 | − | 0.963711i | ||||
\(475\) | −7.51705 | + | 6.76284i | −0.344906 | + | 0.310300i | ||||
\(476\) | 1.68281 | + | 3.04691i | 0.0771316 | + | 0.139655i | ||||
\(477\) | −6.36870 | − | 2.16863i | −0.291603 | − | 0.0992948i | ||||
\(478\) | −2.01107 | + | 0.872599i | −0.0919840 | + | 0.0399118i | ||||
\(479\) | −2.02892 | − | 1.47410i | −0.0927037 | − | 0.0673532i | 0.540468 | − | 0.841365i | \(-0.318247\pi\) |
−0.633172 | + | 0.774011i | \(0.718247\pi\) | |||||||
\(480\) | −17.0586 | + | 13.7479i | −0.778616 | + | 0.627501i | ||||
\(481\) | 1.35497 | − | 0.984445i | 0.0617814 | − | 0.0448868i | ||||
\(482\) | −0.884327 | + | 1.49866i | −0.0402800 | + | 0.0682619i | ||||
\(483\) | 18.8074 | − | 13.4637i | 0.855766 | − | 0.612618i | ||||
\(484\) | 12.3926 | − | 13.2486i | 0.563300 | − | 0.602207i | ||||
\(485\) | 25.5572 | − | 5.42691i | 1.16049 | − | 0.246423i | ||||
\(486\) | −17.0243 | + | 14.0062i | −0.772236 | + | 0.635336i | ||||
\(487\) | −2.51860 | + | 0.818343i | −0.114129 | + | 0.0370827i | −0.365525 | − | 0.930802i | \(-0.619110\pi\) |
0.251396 | + | 0.967884i | \(0.419110\pi\) | |||||||
\(488\) | −4.65196 | − | 15.8387i | −0.210584 | − | 0.716986i | ||||
\(489\) | 2.08906 | − | 6.27914i | 0.0944705 | − | 0.283952i | ||||
\(490\) | −40.4370 | − | 0.392195i | −1.82676 | − | 0.0177176i | ||||
\(491\) | 0.490301 | + | 1.50899i | 0.0221270 | + | 0.0680998i | 0.961510 | − | 0.274769i | \(-0.0886014\pi\) |
−0.939383 | + | 0.342869i | \(0.888601\pi\) | |||||||
\(492\) | −25.9248 | − | 12.3601i | −1.16878 | − | 0.557236i | ||||
\(493\) | 3.09828 | 0.139539 | ||||||||
\(494\) | 10.1293 | − | 0.967483i | 0.455738 | − | 0.0435291i | ||||
\(495\) | −20.4254 | + | 22.0450i | −0.918052 | + | 0.990847i | ||||
\(496\) | 1.80431 | + | 4.50565i | 0.0810161 | + | 0.202310i | ||||
\(497\) | 3.23489 | − | 4.45245i | 0.145105 | − | 0.199720i | ||||
\(498\) | 10.8305 | − | 9.43268i | 0.485327 | − | 0.422689i | ||||
\(499\) | 23.7639i | 1.06382i | 0.846802 | + | 0.531908i | \(0.178525\pi\) | ||||
−0.846802 | + | 0.531908i | \(0.821475\pi\) | |||||||
\(500\) | 15.2850 | − | 16.3208i | 0.683567 | − | 0.729887i | ||||
\(501\) | −0.140274 | + | 19.9819i | −0.00626698 | + | 0.892726i | ||||
\(502\) | −18.8951 | − | 21.3901i | −0.843328 | − | 0.954686i | ||||
\(503\) | −11.4099 | − | 8.28975i | −0.508741 | − | 0.369622i | 0.303605 | − | 0.952798i | \(-0.401810\pi\) |
−0.812346 | + | 0.583176i | \(0.801810\pi\) | |||||||
\(504\) | −23.4644 | + | 29.5660i | −1.04519 | + | 1.31697i | ||||
\(505\) | −11.1250 | − | 10.0211i | −0.495056 | − | 0.445933i | ||||
\(506\) | −1.80842 | − | 18.9337i | −0.0803941 | − | 0.841704i | ||||
\(507\) | 0.00415258 | − | 0.591532i | 0.000184423 | − | 0.0262708i | ||||
\(508\) | −6.61810 | + | 14.1358i | −0.293631 | + | 0.627175i | ||||
\(509\) | 22.0085 | − | 7.15099i | 0.975509 | − | 0.316962i | 0.222471 | − | 0.974939i | \(-0.428588\pi\) |
0.753038 | + | 0.657977i | \(0.228588\pi\) | |||||||
\(510\) | −2.14260 | − | 0.0358245i | −0.0948759 | − | 0.00158634i | ||||
\(511\) | 62.1436 | + | 20.1917i | 2.74907 | + | 0.893228i | ||||
\(512\) | 5.12998 | + | 22.0382i | 0.226715 | + | 0.973961i | ||||
\(513\) | 3.03603 | + | 10.0600i | 0.134044 | + | 0.444161i | ||||
\(514\) | 28.4803 | − | 25.1583i | 1.25621 | − | 1.10968i | ||||
\(515\) | 2.94659 | + | 13.8765i | 0.129842 | + | 0.611471i | ||||
\(516\) | −12.9901 | + | 13.6933i | −0.571855 | + | 0.602815i | ||||
\(517\) | −22.8980 | + | 16.6364i | −1.00705 | + | 0.731668i | ||||
\(518\) | 2.55047 | + | 1.50498i | 0.112061 | + | 0.0661252i | ||||
\(519\) | 30.9052 | − | 22.1241i | 1.35659 | − | 0.971142i | ||||
\(520\) | −22.1354 | + | 4.04514i | −0.970701 | + | 0.177391i | ||||
\(521\) | 0.115346 | − | 0.158761i | 0.00505342 | − | 0.00695543i | −0.806483 | − | 0.591258i | \(-0.798632\pi\) |
0.811536 | + | 0.584302i | \(0.198632\pi\) | |||||||
\(522\) | 12.9395 | + | 31.0065i | 0.566347 | + | 1.35712i | ||||
\(523\) | −22.5692 | − | 7.33316i | −0.986880 | − | 0.320657i | −0.229269 | − | 0.973363i | \(-0.573634\pi\) |
−0.757611 | + | 0.652706i | \(0.773634\pi\) | |||||||
\(524\) | −11.2843 | − | 20.4314i | −0.492956 | − | 0.892549i | ||||
\(525\) | 19.5092 | − | 33.2187i | 0.851452 | − | 1.44978i | ||||
\(526\) | −16.7267 | + | 28.3464i | −0.729317 | + | 1.23596i | ||||
\(527\) | −0.146696 | + | 0.451484i | −0.00639018 | + | 0.0196670i | ||||
\(528\) | 11.3362 | + | 28.8943i | 0.493343 | + | 1.25746i | ||||
\(529\) | 11.3165 | + | 8.22191i | 0.492021 | + | 0.357475i | ||||
\(530\) | 4.22386 | − | 5.69663i | 0.183473 | − | 0.247446i | ||||
\(531\) | −5.49124 | + | 3.87301i | −0.238300 | + | 0.168074i | ||||
\(532\) | 8.69840 | + | 15.7494i | 0.377124 | + | 0.682822i | ||||
\(533\) | −17.3385 | − | 23.8644i | −0.751012 | − | 1.03368i | ||||
\(534\) | 33.9615 | + | 7.80707i | 1.46966 | + | 0.337845i | ||||
\(535\) | 9.56173 | − | 10.6150i | 0.413390 | − | 0.458928i | ||||
\(536\) | −21.9051 | − | 7.81386i | −0.946155 | − | 0.337508i | ||||
\(537\) | 34.4872 | − | 10.9385i | 1.48823 | − | 0.472032i | ||||
\(538\) | 7.50128 | − | 33.7135i | 0.323403 | − | 1.45349i | ||||
\(539\) | −17.7036 | + | 54.4860i | −0.762547 | + | 2.34688i | ||||
\(540\) | −8.58974 | − | 21.5920i | −0.369644 | − | 0.929174i | ||||
\(541\) | −10.8345 | − | 33.3452i | −0.465813 | − | 1.43362i | −0.857958 | − | 0.513720i | \(-0.828267\pi\) |
0.392145 | − | 0.919903i | \(-0.371733\pi\) | |||||||
\(542\) | −15.2543 | + | 1.45700i | −0.655229 | + | 0.0625833i | ||||
\(543\) | 0.0621537 | − | 8.85374i | 0.00266727 | − | 0.379950i | ||||
\(544\) | −0.995117 | + | 1.97684i | −0.0426653 | + | 0.0847563i | ||||
\(545\) | 2.98453 | + | 1.32953i | 0.127843 | + | 0.0569507i | ||||
\(546\) | −35.6713 | + | 15.1811i | −1.52659 | + | 0.649690i | ||||
\(547\) | 9.43075 | − | 12.9803i | 0.403230 | − | 0.554998i | −0.558321 | − | 0.829625i | \(-0.688554\pi\) |
0.961551 | + | 0.274627i | \(0.0885543\pi\) | |||||||
\(548\) | −7.42246 | − | 38.5010i | −0.317072 | − | 1.64468i | ||||
\(549\) | 17.5074 | + | 0.245818i | 0.747198 | + | 0.0104913i | ||||
\(550\) | −15.5668 | − | 27.5899i | −0.663772 | − | 1.17644i | ||||
\(551\) | 16.0149 | 0.682257 | ||||||||
\(552\) | 13.8168 | + | 5.03828i | 0.588083 | + | 0.214444i | ||||
\(553\) | 35.9424 | + | 26.1137i | 1.52843 | + | 1.11047i | ||||
\(554\) | −36.7154 | + | 15.9308i | −1.55989 | + | 0.676834i | ||||
\(555\) | −1.58546 | + | 0.900158i | −0.0672989 | + | 0.0382096i | ||||
\(556\) | −9.69130 | + | 20.6999i | −0.411003 | + | 0.877873i | ||||
\(557\) | 28.3024i | 1.19921i | 0.800296 | + | 0.599606i | \(0.204676\pi\) | ||||
−0.800296 | + | 0.599606i | \(0.795324\pi\) | |||||||
\(558\) | −5.13096 | + | 0.417474i | −0.217211 | + | 0.0176731i | ||||
\(559\) | −18.4367 | + | 5.99044i | −0.779789 | + | 0.253369i | ||||
\(560\) | −22.1406 | − | 33.0579i | −0.935610 | − | 1.39695i | ||||
\(561\) | −0.958377 | + | 2.88062i | −0.0404627 | + | 0.121620i | ||||
\(562\) | 0.703344 | − | 3.16108i | 0.0296688 | − | 0.133342i | ||||
\(563\) | −6.54274 | − | 20.1365i | −0.275744 | − | 0.848652i | −0.989022 | − | 0.147771i | \(-0.952790\pi\) |
0.713278 | − | 0.700881i | \(-0.247210\pi\) | |||||||
\(564\) | −3.99192 | − | 21.5181i | −0.168090 | − | 0.906075i | ||||
\(565\) | −5.87179 | + | 13.1810i | −0.247028 | + | 0.554530i | ||||
\(566\) | 2.54790 | − | 11.4512i | 0.107096 | − | 0.481329i | ||||
\(567\) | −22.6135 | − | 33.0371i | −0.949677 | − | 1.38743i | ||||
\(568\) | 3.49792 | + | 0.0996659i | 0.146770 | + | 0.00418189i | ||||
\(569\) | 5.41276 | + | 7.45002i | 0.226915 | + | 0.312321i | 0.907260 | − | 0.420571i | \(-0.138170\pi\) |
−0.680345 | + | 0.732892i | \(0.738170\pi\) | |||||||
\(570\) | −11.0750 | − | 0.185176i | −0.463882 | − | 0.00775616i | ||||
\(571\) | 23.1140 | − | 31.8137i | 0.967292 | − | 1.33136i | 0.0238892 | − | 0.999715i | \(-0.492395\pi\) |
0.943403 | − | 0.331649i | \(-0.107605\pi\) | |||||||
\(572\) | −3.93366 | + | 31.6351i | −0.164474 | + | 1.32273i | ||||
\(573\) | 25.7889 | + | 8.57995i | 1.07735 | + | 0.358432i | ||||
\(574\) | 26.5064 | − | 44.9200i | 1.10636 | − | 1.87492i | ||||
\(575\) | −14.6808 | − | 3.12674i | −0.612230 | − | 0.130394i | ||||
\(576\) | −23.9395 | − | 1.70281i | −0.997480 | − | 0.0709505i | ||||
\(577\) | 8.56528 | − | 26.3612i | 0.356577 | − | 1.09743i | −0.598512 | − | 0.801114i | \(-0.704241\pi\) |
0.955089 | − | 0.296318i | \(-0.0957588\pi\) | |||||||
\(578\) | 21.8564 | − | 9.48347i | 0.909106 | − | 0.394460i | ||||
\(579\) | 4.61893 | − | 6.26446i | 0.191956 | − | 0.260342i | ||||
\(580\) | −35.2861 | + | 3.02526i | −1.46518 | + | 0.125617i | ||||
\(581\) | 15.3309 | + | 21.1011i | 0.636032 | + | 0.875422i | ||||
\(582\) | 24.5466 | + | 14.7177i | 1.01749 | + | 0.610070i | ||||
\(583\) | −5.90542 | − | 8.12811i | −0.244577 | − | 0.336632i | ||||
\(584\) | 11.7080 | + | 39.8628i | 0.484481 | + | 1.64953i | ||||
\(585\) | 2.83260 | − | 23.6983i | 0.117113 | − | 0.979803i | ||||
\(586\) | −0.681596 | + | 0.602092i | −0.0281565 | + | 0.0248722i | ||||
\(587\) | 8.48790 | + | 26.1231i | 0.350333 | + | 1.07821i | 0.958666 | + | 0.284533i | \(0.0918385\pi\) |
−0.608333 | + | 0.793682i | \(0.708162\pi\) | |||||||
\(588\) | −32.1382 | − | 30.4876i | −1.32536 | − | 1.25729i | ||||
\(589\) | −0.758267 | + | 2.33371i | −0.0312439 | + | 0.0961587i | ||||
\(590\) | −2.12338 | − | 6.75739i | −0.0874181 | − | 0.278197i | ||||
\(591\) | −6.33784 | − | 19.9821i | −0.260704 | − | 0.821953i | ||||
\(592\) | 0.125575 | + | 1.87877i | 0.00516110 | + | 0.0772171i | ||||
\(593\) | − | 14.4874i | − | 0.594925i | −0.954734 | − | 0.297462i | \(-0.903860\pi\) | ||
0.954734 | − | 0.297462i | \(-0.0961403\pi\) | |||||||
\(594\) | −32.8308 | + | 2.43937i | −1.34706 | + | 0.100088i | ||||
\(595\) | 0.407569 | − | 3.87018i | 0.0167087 | − | 0.158662i | ||||
\(596\) | −12.7535 | − | 1.58583i | −0.522403 | − | 0.0649582i | ||||
\(597\) | −28.3516 | − | 20.9043i | −1.16035 | − | 0.855554i | ||||
\(598\) | 10.0001 | + | 11.3206i | 0.408935 | + | 0.462933i | ||||
\(599\) | −48.7931 | −1.99363 | −0.996817 | − | 0.0797289i | \(-0.974595\pi\) | ||||
−0.996817 | + | 0.0797289i | \(0.974595\pi\) | |||||||
\(600\) | 24.4369 | − | 1.68410i | 0.997634 | − | 0.0687532i | ||||
\(601\) | 1.97030 | 0.0803701 | 0.0401850 | − | 0.999192i | \(-0.487205\pi\) | ||||
0.0401850 | + | 0.999192i | \(0.487205\pi\) | |||||||
\(602\) | −22.6928 | − | 25.6893i | −0.924889 | − | 1.04702i | ||||
\(603\) | 14.7781 | − | 19.7511i | 0.601811 | − | 0.804328i | ||||
\(604\) | −2.08939 | − | 0.259805i | −0.0850160 | − | 0.0105713i | ||||
\(605\) | −19.8400 | + | 4.21291i | −0.806612 | + | 0.171279i | ||||
\(606\) | −1.44486 | − | 16.3382i | −0.0586933 | − | 0.663695i | ||||
\(607\) | − | 6.81935i | − | 0.276789i | −0.990377 | − | 0.138394i | \(-0.955806\pi\) | ||
0.990377 | − | 0.138394i | \(-0.0441941\pi\) | |||||||
\(608\) | −5.14373 | + | 10.2182i | −0.208606 | + | 0.414403i | ||||
\(609\) | −58.1600 | + | 18.4470i | −2.35676 | + | 0.747509i | ||||
\(610\) | −5.87326 | + | 17.4968i | −0.237801 | + | 0.708425i | ||||
\(611\) | 6.94598 | − | 21.3775i | 0.281004 | − | 0.864842i | ||||
\(612\) | −1.69166 | − | 1.62749i | −0.0683811 | − | 0.0657873i | ||||
\(613\) | 2.82937 | + | 8.70791i | 0.114277 | + | 0.351709i | 0.991796 | − | 0.127834i | \(-0.0408024\pi\) |
−0.877518 | + | 0.479543i | \(0.840802\pi\) | |||||||
\(614\) | 14.6023 | − | 12.8991i | 0.589302 | − | 0.520564i | ||||
\(615\) | 15.8540 | + | 27.9238i | 0.639293 | + | 1.12599i | ||||
\(616\) | −54.0825 | + | 15.8844i | −2.17905 | + | 0.640003i | ||||
\(617\) | 2.71868 | + | 3.74194i | 0.109450 | + | 0.150645i | 0.860228 | − | 0.509910i | \(-0.170321\pi\) |
−0.750778 | + | 0.660555i | \(0.770321\pi\) | |||||||
\(618\) | −7.99112 | + | 13.3278i | −0.321450 | + | 0.536121i | ||||
\(619\) | −8.75815 | − | 12.0546i | −0.352020 | − | 0.484514i | 0.595884 | − | 0.803071i | \(-0.296802\pi\) |
−0.947904 | + | 0.318557i | \(0.896802\pi\) | |||||||
\(620\) | 1.22987 | − | 5.28517i | 0.0493928 | − | 0.212257i | ||||
\(621\) | −9.43251 | + | 12.4239i | −0.378514 | + | 0.498553i | ||||
\(622\) | 22.6103 | − | 9.81059i | 0.906591 | − | 0.393369i | ||||
\(623\) | −19.5558 | + | 60.1865i | −0.783486 | + | 2.41132i | ||||
\(624\) | −20.7712 | − | 13.2727i | −0.831514 | − | 0.531332i | ||||
\(625\) | −24.4579 | + | 5.17788i | −0.978317 | + | 0.207115i | ||||
\(626\) | 14.4024 | − | 24.4075i | 0.575635 | − | 0.975520i | ||||
\(627\) | −4.95382 | + | 14.8898i | −0.197836 | + | 0.594642i | ||||
\(628\) | −1.31002 | + | 10.5354i | −0.0522757 | + | 0.420409i | ||||
\(629\) | −0.108254 | + | 0.148998i | −0.00431635 | + | 0.00594095i | ||||
\(630\) | 40.4336 | − | 12.0844i | 1.61091 | − | 0.481455i | ||||
\(631\) | −11.4029 | − | 15.6948i | −0.453944 | − | 0.624800i | 0.519295 | − | 0.854595i | \(-0.326194\pi\) |
−0.973239 | + | 0.229795i | \(0.926194\pi\) | |||||||
\(632\) | −0.804554 | + | 28.2370i | −0.0320034 | + | 1.12321i | ||||
\(633\) | −28.9611 | + | 20.7324i | −1.15110 | + | 0.824039i | ||||
\(634\) | −3.08930 | + | 13.8844i | −0.122692 | + | 0.551422i | ||||
\(635\) | 15.1145 | − | 8.72225i | 0.599800 | − | 0.346132i | ||||
\(636\) | 7.63827 | − | 1.41701i | 0.302877 | − | 0.0561882i | ||||
\(637\) | −14.0596 | − | 43.2709i | −0.557060 | − | 1.71445i | ||||
\(638\) | −10.8972 | + | 48.9758i | −0.431422 | + | 1.93897i | ||||
\(639\) | −1.19640 | + | 3.51350i | −0.0473287 | + | 0.138992i | ||||
\(640\) | 9.40308 | − | 23.4858i | 0.371689 | − | 0.928357i | ||||
\(641\) | 18.3043 | − | 5.94743i | 0.722977 | − | 0.234910i | 0.0756637 | − | 0.997133i | \(-0.475892\pi\) |
0.647314 | + | 0.762224i | \(0.275892\pi\) | |||||||
\(642\) | 15.5893 | − | 1.37863i | 0.615260 | − | 0.0544101i | ||||
\(643\) | − | 11.3786i | − | 0.448730i | −0.974505 | − | 0.224365i | \(-0.927969\pi\) | ||
0.974505 | − | 0.224365i | \(-0.0720307\pi\) | |||||||
\(644\) | −11.3245 | + | 24.1883i | −0.446247 | + | 0.953152i | ||||
\(645\) | 20.6724 | − | 4.23822i | 0.813975 | − | 0.166880i | ||||
\(646\) | −1.02646 | + | 0.445382i | −0.0403857 | + | 0.0175233i | ||||
\(647\) | −28.1074 | − | 20.4213i | −1.10502 | − | 0.802842i | −0.123146 | − | 0.992389i | \(-0.539298\pi\) |
−0.981872 | + | 0.189546i | \(0.939298\pi\) | |||||||
\(648\) | 9.22241 | − | 23.7265i | 0.362291 | − | 0.932065i | ||||
\(649\) | −10.0348 | −0.393898 | ||||||||
\(650\) | 22.8805 | + | 10.4597i | 0.897447 | + | 0.410265i | ||||
\(651\) | 0.0656274 | − | 9.34856i | 0.00257214 | − | 0.366399i | ||||
\(652\) | 1.44649 | + | 7.50311i | 0.0566490 | + | 0.293844i | ||||
\(653\) | −4.77390 | + | 6.57071i | −0.186817 | + | 0.257132i | −0.892145 | − | 0.451750i | \(-0.850800\pi\) |
0.705328 | + | 0.708882i | \(0.250800\pi\) | |||||||
\(654\) | 1.40157 | + | 3.29329i | 0.0548055 | + | 0.128778i | ||||
\(655\) | −2.73300 | + | 25.9519i | −0.106787 | + | 1.01402i | ||||
\(656\) | 33.0898 | − | 2.21168i | 1.29194 | − | 0.0863516i | ||||
\(657\) | −44.0625 | − | 0.618672i | −1.71904 | − | 0.0241367i | ||||
\(658\) | 39.5643 | − | 3.77893i | 1.54238 | − | 0.147318i | ||||
\(659\) | 2.70565 | + | 8.32715i | 0.105397 | + | 0.324380i | 0.989824 | − | 0.142300i | \(-0.0454499\pi\) |
−0.884426 | + | 0.466680i | \(0.845450\pi\) | |||||||
\(660\) | 8.10218 | − | 33.7430i | 0.315377 | − | 1.31344i | ||||
\(661\) | −3.36376 | + | 10.3526i | −0.130835 | + | 0.402669i | −0.994919 | − | 0.100679i | \(-0.967899\pi\) |
0.864084 | + | 0.503348i | \(0.167899\pi\) | |||||||
\(662\) | 0.629528 | − | 2.82933i | 0.0244673 | − | 0.109965i | ||||
\(663\) | −0.728917 | − | 2.29814i | −0.0283088 | − | 0.0892525i | ||||
\(664\) | −5.57193 | + | 15.6201i | −0.216233 | + | 0.606178i | ||||
\(665\) | 2.10671 | − | 20.0048i | 0.0816947 | − | 0.775754i | ||||
\(666\) | −1.94323 | − | 0.461096i | −0.0752986 | − | 0.0178671i | ||||
\(667\) | 13.9736 | + | 19.2331i | 0.541061 | + | 0.744707i | ||||
\(668\) | −11.1553 | − | 20.1979i | −0.431612 | − | 0.781479i | ||||
\(669\) | 23.2715 | − | 16.6594i | 0.899728 | − | 0.644090i | ||||
\(670\) | 15.0789 | + | 21.1834i | 0.582550 | + | 0.818386i | ||||
\(671\) | 21.1534 | + | 15.3689i | 0.816619 | + | 0.593309i | ||||
\(672\) | 6.91008 | − | 43.0336i | 0.266562 | − | 1.66006i | ||||
\(673\) | 3.30034 | − | 10.1574i | 0.127219 | − | 0.391540i | −0.867080 | − | 0.498169i | \(-0.834006\pi\) |
0.994299 | + | 0.106630i | \(0.0340059\pi\) | |||||||
\(674\) | −6.44124 | + | 10.9159i | −0.248107 | + | 0.420464i | ||||
\(675\) | −5.94596 | + | 25.2912i | −0.228860 | + | 0.973459i | ||||
\(676\) | 0.330235 | + | 0.597925i | 0.0127013 | + | 0.0229971i | ||||
\(677\) | 6.74302 | + | 2.19094i | 0.259155 | + | 0.0842047i | 0.435713 | − | 0.900086i | \(-0.356496\pi\) |
−0.176558 | + | 0.984290i | \(0.556496\pi\) | |||||||
\(678\) | −14.5446 | + | 6.18993i | −0.558582 | + | 0.237723i | ||||
\(679\) | −30.5509 | + | 42.0497i | −1.17243 | + | 1.61372i | ||||
\(680\) | 2.17751 | − | 1.17523i | 0.0835035 | − | 0.0450678i | ||||
\(681\) | −3.02900 | − | 4.23120i | −0.116071 | − | 0.162140i | ||||
\(682\) | −6.62085 | − | 3.90683i | −0.253525 | − | 0.149600i | ||||
\(683\) | 1.54821 | − | 1.12484i | 0.0592406 | − | 0.0430408i | −0.557771 | − | 0.829995i | \(-0.688343\pi\) |
0.617011 | + | 0.786954i | \(0.288343\pi\) | |||||||
\(684\) | −8.74411 | − | 8.41244i | −0.334339 | − | 0.321658i | ||||
\(685\) | −17.8387 | + | 40.0445i | −0.681582 | + | 1.53002i | ||||
\(686\) | 27.2889 | − | 24.1058i | 1.04189 | − | 0.920365i | ||||
\(687\) | 6.63654 | − | 2.10495i | 0.253200 | − | 0.0803089i | ||||
\(688\) | 5.33753 | − | 21.1308i | 0.203491 | − | 0.805602i | ||||
\(689\) | 7.58838 | + | 2.46561i | 0.289094 | + | 0.0939324i | ||||
\(690\) | −9.44102 | − | 13.4621i | −0.359414 | − | 0.512494i | ||||
\(691\) | 33.0697 | − | 10.7450i | 1.25803 | − | 0.408759i | 0.397239 | − | 0.917715i | \(-0.369968\pi\) |
0.860793 | + | 0.508956i | \(0.169968\pi\) | |||||||
\(692\) | −18.6089 | + | 39.7474i | −0.707405 | + | 1.51097i | ||||
\(693\) | 0.839362 | − | 59.7803i | 0.0318847 | − | 2.27087i | ||||
\(694\) | 3.13580 | + | 32.8310i | 0.119033 | + | 1.24625i | ||||
\(695\) | 22.1331 | − | 12.7725i | 0.839556 | − | 0.484490i | ||||
\(696\) | −30.5572 | − | 23.9034i | −1.15827 | − | 0.906055i | ||||
\(697\) | 2.62422 | + | 1.90661i | 0.0993994 | + | 0.0722179i | ||||
\(698\) | −26.6430 | − | 30.1610i | −1.00845 | − | 1.14161i | ||||
\(699\) | −16.2436 | − | 0.114031i | −0.614388 | − | 0.00431303i | ||||
\(700\) | −0.862806 | + | 44.4752i | −0.0326110 | + | 1.68100i | ||||
\(701\) | 13.3975i | 0.506016i | 0.967464 | + | 0.253008i | \(0.0814198\pi\) | ||||
−0.967464 | + | 0.253008i | \(0.918580\pi\) | |||||||
\(702\) | 19.9549 | − | 16.8926i | 0.753148 | − | 0.637571i | ||||
\(703\) | −0.559559 | + | 0.770167i | −0.0211042 | + | 0.0290474i | ||||
\(704\) | −27.7487 | − | 22.6831i | −1.04582 | − | 0.854902i | ||||
\(705\) | −10.1134 | + | 22.2806i | −0.380893 | + | 0.839134i | ||||
\(706\) | −33.3025 | + | 3.18084i | −1.25336 | + | 0.119713i | ||||
\(707\) | 29.7866 | 1.12024 | ||||||||
\(708\) | 3.33924 | − | 7.00391i | 0.125496 | − | 0.263223i | ||||
\(709\) | 7.03277 | + | 21.6446i | 0.264121 | + | 0.812881i | 0.991895 | + | 0.127064i | \(0.0405552\pi\) |
−0.727773 | + | 0.685818i | \(0.759445\pi\) | |||||||
\(710\) | −3.14273 | − | 2.33023i | −0.117945 | − | 0.0874520i | ||||
\(711\) | −28.3628 | − | 9.65793i | −1.06369 | − | 0.362200i | ||||
\(712\) | −38.6074 | + | 11.3393i | −1.44687 | + | 0.424958i | ||||
\(713\) | −3.46428 | + | 1.12561i | −0.129738 | + | 0.0421545i | ||||
\(714\) | 3.21471 | − | 2.79980i | 0.120307 | − | 0.104780i | ||||
\(715\) | 23.8542 | − | 26.4819i | 0.892096 | − | 0.990367i | ||||
\(716\) | −28.5391 | + | 30.5103i | −1.06656 | + | 1.14022i | ||||
\(717\) | 1.56286 | + | 2.18316i | 0.0583661 | + | 0.0815316i | ||||
\(718\) | 19.1229 | − | 32.4072i | 0.713659 | − | 1.20943i | ||||
\(719\) | 12.4553 | − | 9.04931i | 0.464505 | − | 0.337482i | −0.330791 | − | 0.943704i | \(-0.607316\pi\) |
0.795296 | + | 0.606222i | \(0.207316\pi\) | |||||||
\(720\) | 20.8553 | + | 16.8836i | 0.777232 | + | 0.629215i | ||||
\(721\) | −22.8312 | − | 16.5878i | −0.850278 | − | 0.617763i | ||||
\(722\) | 19.3439 | − | 8.39331i | 0.719906 | − | 0.312367i | ||||
\(723\) | 2.02222 | + | 0.672789i | 0.0752070 | + | 0.0250213i | ||||
\(724\) | 4.94279 | + | 8.94943i | 0.183697 | + | 0.332603i | ||||
\(725\) | 34.2829 | + | 19.8119i | 1.27323 | + | 0.735794i | ||||
\(726\) | −19.0555 | − | 11.4254i | −0.707216 | − | 0.424035i | ||||
\(727\) | −14.5937 | − | 4.74177i | −0.541249 | − | 0.175862i | 0.0256182 | − | 0.999672i | \(-0.491845\pi\) |
−0.566867 | + | 0.823809i | \(0.691845\pi\) | |||||||
\(728\) | 27.3328 | − | 35.4513i | 1.01302 | − | 1.31391i | ||||
\(729\) | 21.1558 | + | 16.7759i | 0.783550 | + | 0.621329i | ||||
\(730\) | 14.7818 | − | 44.0358i | 0.547098 | − | 1.62984i | ||||
\(731\) | 1.72458 | − | 1.25298i | 0.0637861 | − | 0.0463433i | ||||
\(732\) | −17.7661 | + | 9.65012i | −0.656655 | + | 0.356679i | ||||
\(733\) | 16.5587 | − | 12.0306i | 0.611609 | − | 0.444360i | −0.238372 | − | 0.971174i | \(-0.576614\pi\) |
0.849981 | + | 0.526814i | \(0.176614\pi\) | |||||||
\(734\) | −4.58869 | + | 20.6232i | −0.169372 | + | 0.761218i | ||||
\(735\) | 9.94709 | + | 48.5181i | 0.366904 | + | 1.78962i | ||||
\(736\) | −16.7597 | + | 2.73845i | −0.617769 | + | 0.100941i | ||||
\(737\) | 35.0344 | − | 11.3834i | 1.29051 | − | 0.419312i | ||||
\(738\) | −8.12101 | + | 34.2250i | −0.298939 | + | 1.25984i | ||||
\(739\) | −3.34126 | − | 1.08564i | −0.122910 | − | 0.0399359i | 0.246916 | − | 0.969037i | \(-0.420583\pi\) |
−0.369826 | + | 0.929101i | \(0.620583\pi\) | |||||||
\(740\) | 1.08741 | − | 1.80264i | 0.0399739 | − | 0.0662662i | ||||
\(741\) | −3.76775 | − | 11.8790i | −0.138412 | − | 0.436387i | ||||
\(742\) | 1.34140 | + | 14.0441i | 0.0492445 | + | 0.515576i | ||||
\(743\) | 42.7731 | 1.56919 | 0.784597 | − | 0.620007i | \(-0.212870\pi\) | ||||
0.784597 | + | 0.620007i | \(0.212870\pi\) | |||||||
\(744\) | 4.93004 | − | 3.32106i | 0.180744 | − | 0.121756i | ||||
\(745\) | 10.6760 | + | 9.61667i | 0.391139 | + | 0.352328i | ||||
\(746\) | 0.413886 | − | 0.179585i | 0.0151534 | − | 0.00657506i | ||||
\(747\) | −14.0842 | − | 10.5380i | −0.515313 | − | 0.385565i | ||||
\(748\) | −0.663593 | − | 3.44212i | −0.0242634 | − | 0.125857i | ||||
\(749\) | 28.4212i | 1.03849i | ||||||||
\(750\) | −23.4791 | − | 14.0972i | −0.857336 | − | 0.514757i | ||||
\(751\) | − | 20.9257i | − | 0.763589i | −0.924247 | − | 0.381795i | \(-0.875306\pi\) | ||
0.924247 | − | 0.381795i | \(-0.124694\pi\) | |||||||
\(752\) | 16.1842 | + | 19.4085i | 0.590178 | + | 0.707754i | ||||
\(753\) | −20.7439 | + | 28.1341i | −0.755951 | + | 1.02526i | ||||
\(754\) | −15.8605 | − | 36.5534i | −0.577604 | − | 1.33119i | ||||
\(755\) | 1.74904 | + | 1.57549i | 0.0636541 | + | 0.0573379i | ||||
\(756\) | 41.4453 | + | 20.4788i | 1.50735 | + | 0.744805i | ||||
\(757\) | 28.2009 | 1.02498 | 0.512490 | − | 0.858693i | \(-0.328723\pi\) | ||||
0.512490 | + | 0.858693i | \(0.328723\pi\) | |||||||
\(758\) | −43.3882 | + | 4.14416i | −1.57593 | + | 0.150523i | ||||
\(759\) | −22.2043 | + | 7.04268i | −0.805965 | + | 0.255633i | ||||
\(760\) | 11.2555 | − | 6.07470i | 0.408278 | − | 0.220353i | ||||
\(761\) | −45.3338 | − | 14.7298i | −1.64335 | − | 0.533956i | −0.666065 | − | 0.745893i | \(-0.732023\pi\) |
−0.977283 | + | 0.211937i | \(0.932023\pi\) | |||||||
\(762\) | 18.6303 | + | 4.28274i | 0.674905 | + | 0.155147i | ||||
\(763\) | −6.18169 | + | 2.00855i | −0.223792 | + | 0.0727144i | ||||
\(764\) | −30.8159 | + | 5.94087i | −1.11488 | + | 0.214933i | ||||
\(765\) | 0.509046 | + | 2.57466i | 0.0184046 | + | 0.0930872i | ||||
\(766\) | 13.8110 | + | 3.07296i | 0.499011 | + | 0.111031i | ||||
\(767\) | 6.44726 | − | 4.68421i | 0.232797 | − | 0.169137i | ||||
\(768\) | 25.0659 | − | 11.8195i | 0.904488 | − | 0.426499i | ||||
\(769\) | 18.7076 | − | 13.5919i | 0.674615 | − | 0.490136i | −0.196952 | − | 0.980413i | \(-0.563104\pi\) |
0.871567 | + | 0.490277i | \(0.163104\pi\) | |||||||
\(770\) | 59.7440 | + | 20.0547i | 2.15303 | + | 0.722720i | ||||
\(771\) | −37.4598 | − | 27.6200i | −1.34908 | − | 0.994709i | ||||
\(772\) | −1.10898 | + | 8.91857i | −0.0399130 | + | 0.320986i | ||||
\(773\) | −44.2869 | − | 14.3897i | −1.59289 | − | 0.517561i | −0.627554 | − | 0.778573i | \(-0.715944\pi\) |
−0.965336 | + | 0.261011i | \(0.915944\pi\) | |||||||
\(774\) | 19.7419 | + | 12.0262i | 0.709609 | + | 0.432272i | ||||
\(775\) | −4.51022 | + | 4.05770i | −0.162012 | + | 0.145757i | ||||
\(776\) | −33.0350 | − | 0.941261i | −1.18589 | − | 0.0337893i | ||||
\(777\) | 1.14498 | − | 3.44149i | 0.0410759 | − | 0.123463i | ||||
\(778\) | −13.8975 | − | 32.0294i | −0.498250 | − | 1.14831i | ||||
\(779\) | 13.5645 | + | 9.85519i | 0.485999 | + | 0.353099i | ||||
\(780\) | 10.5456 | + | 25.4617i | 0.377592 | + | 0.911676i | ||||
\(781\) | −4.48414 | + | 3.25792i | −0.160455 | + | 0.116577i | ||||
\(782\) | −1.43051 | − | 0.844117i | −0.0511550 | − | 0.0301856i | ||||
\(783\) | 33.7923 | − | 23.4805i | 1.20764 | − | 0.839123i | ||||
\(784\) | 49.5939 | + | 12.5272i | 1.77121 | + | 0.447399i | ||||
\(785\) | 7.94415 | − | 8.81926i | 0.283539 | − | 0.314773i | ||||
\(786\) | −21.5566 | + | 18.7744i | −0.768898 | + | 0.669661i | ||||
\(787\) | 18.9216 | − | 6.14801i | 0.674484 | − | 0.219153i | 0.0483050 | − | 0.998833i | \(-0.484618\pi\) |
0.626179 | + | 0.779680i | \(0.284618\pi\) | |||||||
\(788\) | 17.6778 | + | 16.5357i | 0.629747 | + | 0.589060i | ||||
\(789\) | 38.2493 | + | 12.7255i | 1.36171 | + | 0.453040i | ||||
\(790\) | 18.8108 | − | 25.3697i | 0.669259 | − | 0.902615i | ||||
\(791\) | −8.87065 | − | 27.3011i | −0.315404 | − | 0.970714i | ||||
\(792\) | 31.6762 | − | 21.0166i | 1.12557 | − | 0.746791i | ||||
\(793\) | −20.7651 | −0.737390 | ||||||||
\(794\) | 3.09968 | + | 32.4527i | 0.110003 | + | 1.15170i | ||||
\(795\) | −7.90892 | − | 3.58996i | −0.280501 | − | 0.127323i | ||||
\(796\) | 40.3635 | + | 5.01899i | 1.43064 | + | 0.177893i | ||||
\(797\) | −3.72236 | + | 5.12339i | −0.131853 | + | 0.181480i | −0.869839 | − | 0.493336i | \(-0.835777\pi\) |
0.737986 | + | 0.674816i | \(0.235777\pi\) | |||||||
\(798\) | 16.6167 | − | 14.4721i | 0.588226 | − | 0.512307i | ||||
\(799\) | 2.47173i | 0.0874436i | ||||||||
\(800\) | −23.6520 | + | 15.5108i | −0.836224 | + | 0.548389i | ||||
\(801\) | 0.599188 | − | 42.6748i | 0.0211713 | − | 1.50784i | ||||
\(802\) | 26.3365 | − | 23.2645i | 0.929973 | − | 0.821497i | ||||
\(803\) | −53.2388 | − | 38.6802i | −1.87876 | − | 1.36500i | ||||
\(804\) | −3.71310 | + | 28.2408i | −0.130951 | + | 0.995978i | ||||
\(805\) | 25.8629 | − | 14.9250i | 0.911549 | − | 0.526036i | ||||
\(806\) | 6.07755 | − | 0.580489i | 0.214073 | − | 0.0204468i | ||||
\(807\) | −42.2991 | − | 0.296942i | −1.48900 | − | 0.0104528i | ||||
\(808\) | 10.6914 | + | 15.6331i | 0.376121 | + | 0.549971i | ||||
\(809\) | 12.7241 | − | 4.13430i | 0.447355 | − | 0.145354i | −0.0766716 | − | 0.997056i | \(-0.524429\pi\) |
0.524026 | + | 0.851702i | \(0.324429\pi\) | |||||||
\(810\) | −23.6404 | + | 15.8471i | −0.830640 | + | 0.556810i | ||||
\(811\) | −3.37493 | − | 1.09658i | −0.118510 | − | 0.0385062i | 0.249162 | − | 0.968462i | \(-0.419845\pi\) |
−0.367672 | + | 0.929956i | \(0.619845\pi\) | |||||||
\(812\) | 48.1290 | − | 51.4532i | 1.68900 | − | 1.80566i | ||||
\(813\) | 5.67409 | + | 17.8894i | 0.198999 | + | 0.627409i | ||||
\(814\) | −1.97453 | − | 2.23526i | −0.0692073 | − | 0.0783459i | ||||
\(815\) | 3.47642 | − | 7.80389i | 0.121774 | − | 0.273358i | ||||
\(816\) | 2.62331 | + | 0.682261i | 0.0918341 | + | 0.0238839i | ||||
\(817\) | 8.91432 | − | 6.47663i | 0.311873 | − | 0.226589i | ||||
\(818\) | −10.0324 | + | 17.0018i | −0.350775 | + | 0.594453i | ||||
\(819\) | 27.3661 | + | 38.8002i | 0.956248 | + | 1.35579i | ||||
\(820\) | −31.7488 | − | 19.1519i | −1.10872 | − | 0.668812i | ||||
\(821\) | −18.9682 | + | 26.1075i | −0.661994 | + | 0.911157i | −0.999545 | − | 0.0301504i | \(-0.990401\pi\) |
0.337551 | + | 0.941307i | \(0.390401\pi\) | |||||||
\(822\) | −44.1871 | + | 18.8052i | −1.54120 | + | 0.655908i | ||||
\(823\) | −43.4983 | − | 14.1335i | −1.51626 | − | 0.492662i | −0.571547 | − | 0.820569i | \(-0.693657\pi\) |
−0.944710 | + | 0.327908i | \(0.893657\pi\) | |||||||
\(824\) | 0.511065 | − | 17.9366i | 0.0178038 | − | 0.624851i | ||||
\(825\) | −29.0246 | + | 25.7461i | −1.01051 | + | 0.896366i | ||||
\(826\) | 12.1357 | + | 7.16104i | 0.422255 | + | 0.249165i | ||||
\(827\) | 5.52115 | − | 16.9923i | 0.191989 | − | 0.590882i | −0.808009 | − | 0.589170i | \(-0.799455\pi\) |
0.999999 | − | 0.00171223i | \(-0.000545019\pi\) | |||||||
\(828\) | 2.47331 | − | 17.8414i | 0.0859536 | − | 0.620032i | ||||
\(829\) | 19.3375 | + | 14.0495i | 0.671619 | + | 0.487960i | 0.870567 | − | 0.492050i | \(-0.163752\pi\) |
−0.198948 | + | 0.980010i | \(0.563752\pi\) | |||||||
\(830\) | 15.1055 | − | 10.7525i | 0.524320 | − | 0.373225i | ||||
\(831\) | 28.5327 | + | 39.8573i | 0.989788 | + | 1.38263i | ||||
\(832\) | 28.4168 | + | 1.62067i | 0.985176 | + | 0.0561866i | ||||
\(833\) | 2.94075 | + | 4.04760i | 0.101891 | + | 0.140241i | ||||
\(834\) | 27.2815 | + | 6.27148i | 0.944682 | + | 0.217164i | ||||
\(835\) | −2.70176 | + | 25.6553i | −0.0934983 | + | 0.887838i | ||||
\(836\) | −3.43009 | − | 17.7922i | −0.118632 | − | 0.615357i | ||||
\(837\) | 1.82161 | + | 6.03600i | 0.0629641 | + | 0.208635i | ||||
\(838\) | 26.6219 | + | 5.92339i | 0.919638 | + | 0.204620i | ||||
\(839\) | 8.46068 | − | 26.0393i | 0.292095 | − | 0.898976i | −0.692087 | − | 0.721814i | \(-0.743308\pi\) |
0.984182 | − | 0.177162i | \(-0.0566916\pi\) | |||||||
\(840\) | −33.8783 | + | 35.0258i | −1.16891 | + | 1.20850i | ||||
\(841\) | −10.4179 | − | 32.0630i | −0.359238 | − | 1.10562i | ||||
\(842\) | 1.09123 | + | 11.4249i | 0.0376064 | + | 0.393729i | ||||
\(843\) | −3.96610 | − | 0.0278422i | −0.136600 | − | 0.000958937i | ||||
\(844\) | 17.4383 | − | 37.2470i | 0.600251 | − | 1.28210i | ||||
\(845\) | 0.0799812 | − | 0.759483i | 0.00275144 | − | 0.0261270i | ||||
\(846\) | −24.7363 | + | 10.3228i | −0.850451 | + | 0.354907i | ||||
\(847\) | 23.7166 | − | 32.6431i | 0.814913 | − | 1.12163i | ||||
\(848\) | −6.88942 | + | 5.74492i | −0.236584 | + | 0.197281i | ||||
\(849\) | −14.3674 | − | 0.100860i | −0.493088 | − | 0.00346150i | ||||
\(850\) | −2.74832 | − | 0.316404i | −0.0942665 | − | 0.0108526i | ||||
\(851\) | −1.41317 | −0.0484428 | ||||||||
\(852\) | −0.781741 | − | 4.21390i | −0.0267820 | − | 0.144366i | ||||
\(853\) | −13.5494 | − | 9.84421i | −0.463922 | − | 0.337059i | 0.331146 | − | 0.943580i | \(-0.392565\pi\) |
−0.795068 | + | 0.606520i | \(0.792565\pi\) | |||||||
\(854\) | −14.6147 | − | 33.6822i | −0.500104 | − | 1.15258i | ||||
\(855\) | 2.63124 | + | 13.3084i | 0.0899866 | + | 0.455136i | ||||
\(856\) | −14.9165 | + | 10.2013i | −0.509836 | + | 0.348673i | ||||
\(857\) | 51.1643i | 1.74774i | 0.486159 | + | 0.873870i | \(0.338398\pi\) | ||||
−0.486159 | + | 0.873870i | \(0.661602\pi\) | |||||||
\(858\) | 38.8915 | − | 3.43934i | 1.32773 | − | 0.117417i | ||||
\(859\) | 12.2968 | − | 3.99546i | 0.419560 | − | 0.136323i | −0.0916259 | − | 0.995794i | \(-0.529206\pi\) |
0.511186 | + | 0.859470i | \(0.329206\pi\) | |||||||
\(860\) | −18.4178 | + | 15.9541i | −0.628040 | + | 0.544031i | ||||
\(861\) | −60.6130 | − | 20.1659i | −2.06568 | − | 0.687251i | ||||
\(862\) | −30.2825 | − | 6.73790i | −1.03143 | − | 0.229494i | ||||
\(863\) | 11.8186 | + | 36.3739i | 0.402309 | + | 1.23818i | 0.923121 | + | 0.384510i | \(0.125629\pi\) |
−0.520812 | + | 0.853672i | \(0.674371\pi\) | |||||||
\(864\) | 4.12804 | + | 29.1026i | 0.140439 | + | 0.990089i | ||||
\(865\) | 42.4992 | − | 24.5254i | 1.44502 | − | 0.833889i | ||||
\(866\) | −7.02093 | − | 1.56216i | −0.238581 | − | 0.0530845i | ||||
\(867\) | −16.9853 | − | 23.7267i | −0.576850 | − | 0.805802i | ||||
\(868\) | 5.21903 | + | 9.44960i | 0.177145 | + | 0.320740i | ||||
\(869\) | −26.2996 | − | 36.1982i | −0.892151 | − | 1.22794i | ||||
\(870\) | 12.7121 | + | 41.4704i | 0.430981 | + | 1.40598i | ||||
\(871\) | −17.1956 | + | 23.6678i | −0.582652 | + | 0.801951i | ||||
\(872\) | −3.27297 | − | 2.52345i | −0.110837 | − | 0.0854548i | ||||
\(873\) | 11.2990 | − | 33.1821i | 0.382412 | − | 1.12304i | ||||
\(874\) | −7.39427 | − | 4.36321i | −0.250115 | − | 0.147588i | ||||
\(875\) | 29.2576 | − | 40.2179i | 0.989086 | − | 1.35961i | ||||
\(876\) | 44.7136 | − | 24.2873i | 1.51073 | − | 0.820593i | ||||
\(877\) | −14.7436 | + | 45.3762i | −0.497857 | + | 1.53225i | 0.314600 | + | 0.949224i | \(0.398129\pi\) |
−0.812457 | + | 0.583021i | \(0.801871\pi\) | |||||||
\(878\) | −0.361563 | − | 0.833288i | −0.0122022 | − | 0.0281221i | ||||
\(879\) | 0.896495 | + | 0.661006i | 0.0302380 | + | 0.0222952i | ||||
\(880\) | 10.9186 | + | 38.5542i | 0.368067 | + | 1.29966i | ||||
\(881\) | −5.73525 | − | 7.89390i | −0.193226 | − | 0.265952i | 0.701401 | − | 0.712767i | \(-0.252558\pi\) |
−0.894626 | + | 0.446815i | \(0.852558\pi\) | |||||||
\(882\) | −28.2254 | + | 46.3343i | −0.950399 | + | 1.56016i | ||||
\(883\) | 8.74515 | + | 12.0367i | 0.294298 | + | 0.405066i | 0.930404 | − | 0.366535i | \(-0.119456\pi\) |
−0.636106 | + | 0.771601i | \(0.719456\pi\) | |||||||
\(884\) | 2.03313 | + | 1.90178i | 0.0683817 | + | 0.0639637i | ||||
\(885\) | −7.54396 | + | 4.28315i | −0.253587 | + | 0.143976i | ||||
\(886\) | 7.60516 | + | 8.60939i | 0.255500 | + | 0.289238i | ||||
\(887\) | 11.8541 | + | 36.4832i | 0.398022 | + | 1.22499i | 0.926583 | + | 0.376091i | \(0.122732\pi\) |
−0.528561 | + | 0.848896i | \(0.677268\pi\) | |||||||
\(888\) | 2.21720 | − | 0.634335i | 0.0744042 | − | 0.0212869i | ||||
\(889\) | −10.7277 | + | 33.0166i | −0.359797 | + | 1.10734i | ||||
\(890\) | 42.6489 | + | 14.3162i | 1.42960 | + | 0.479882i | ||||
\(891\) | 11.3781 | + | 38.6815i | 0.381180 | + | 1.29588i | ||||
\(892\) | −14.0125 | + | 29.9296i | −0.469172 | + | 1.00212i | ||||
\(893\) | 12.7763i | 0.427543i | ||||||||
\(894\) | 1.38655 | + | 15.6789i | 0.0463731 | + | 0.524380i | ||||
\(895\) | 45.6899 | − | 9.70197i | 1.52724 | − | 0.324301i | ||||
\(896\) | 17.3712 | + | 47.2344i | 0.580332 | + | 1.57799i | ||||
\(897\) | 10.9786 | − | 14.8898i | 0.366565 | − | 0.497156i | ||||
\(898\) | −30.9887 | + | 27.3741i | −1.03411 | + | 0.913486i | ||||
\(899\) | 9.60891 | 0.320475 | ||||||||
\(900\) | −8.31149 | − | 28.8257i | −0.277050 | − | 0.960856i | ||||
\(901\) | −0.877391 | −0.0292301 | ||||||||
\(902\) | −39.3684 | + | 34.7763i | −1.31082 | + | 1.15792i | ||||
\(903\) | −24.9132 | + | 33.7888i | −0.829061 | + | 1.12442i | ||||
\(904\) | 11.1447 | − | 14.4549i | 0.370666 | − | 0.480763i | ||||
\(905\) | 1.19712 | − | 11.3676i | 0.0397935 | − | 0.377870i | ||||
\(906\) | 0.227157 | + | 2.56865i | 0.00754677 | + | 0.0853377i | ||||
\(907\) | − | 35.1157i | − | 1.16600i | −0.812473 | − | 0.582999i | \(-0.801879\pi\) | ||
0.812473 | − | 0.582999i | \(-0.198121\pi\) | |||||||
\(908\) | 5.44178 | + | 2.54773i | 0.180592 | + | 0.0845494i | ||||
\(909\) | −19.1903 | + | 5.93877i | −0.636503 | + | 0.196977i | ||||
\(910\) | −47.7466 | + | 15.0034i | −1.58279 | + | 0.497359i | ||||
\(911\) | 5.07853 | − | 15.6301i | 0.168259 | − | 0.517849i | −0.831002 | − | 0.556269i | \(-0.812233\pi\) |
0.999262 | + | 0.0384202i | \(0.0122325\pi\) | |||||||
\(912\) | 13.5598 | + | 3.52658i | 0.449010 | + | 0.116777i | ||||
\(913\) | −8.11728 | − | 24.9824i | −0.268643 | − | 0.826797i | ||||
\(914\) | −31.4475 | − | 35.6001i | −1.04019 | − | 1.17755i | ||||
\(915\) | 22.4627 | + | 2.52511i | 0.742594 | + | 0.0834774i | ||||
\(916\) | −5.49192 | + | 5.87124i | −0.181458 | + | 0.193991i | ||||
\(917\) | −30.5139 | − | 41.9988i | −1.00766 | − | 1.38692i | ||||
\(918\) | −1.51289 | + | 2.44475i | −0.0499329 | + | 0.0806886i | ||||
\(919\) | −27.9733 | − | 38.5019i | −0.922752 | − | 1.27006i | −0.962620 | − | 0.270855i | \(-0.912694\pi\) |
0.0398677 | − | 0.999205i | \(-0.487306\pi\) | |||||||
\(920\) | 17.1162 | + | 8.21680i | 0.564306 | + | 0.270900i | ||||
\(921\) | −19.2063 | − | 14.1612i | −0.632868 | − | 0.466628i | ||||
\(922\) | −5.42364 | − | 12.4998i | −0.178618 | − | 0.411658i | ||||
\(923\) | 1.36024 | − | 4.18638i | 0.0447727 | − | 0.137796i | ||||
\(924\) | 32.9510 | + | 60.6637i | 1.08401 | + | 1.99569i | ||||
\(925\) | −2.15061 | + | 0.956463i | −0.0707115 | + | 0.0314483i | ||||
\(926\) | −34.6978 | − | 20.4745i | −1.14024 | − | 0.672834i | ||||
\(927\) | 18.0165 | + | 6.13487i | 0.591739 | + | 0.201495i | ||||
\(928\) | 44.2797 | + | 6.79167i | 1.45355 | + | 0.222947i | ||||
\(929\) | −26.4514 | + | 36.4072i | −0.867841 | + | 1.19448i | 0.111801 | + | 0.993731i | \(0.464338\pi\) |
−0.979642 | + | 0.200750i | \(0.935662\pi\) | |||||||
\(930\) | −6.64500 | − | 0.111105i | −0.217898 | − | 0.00364328i | ||||
\(931\) | 15.2007 | + | 20.9219i | 0.498181 | + | 0.685688i | ||||
\(932\) | 16.4191 | − | 9.06831i | 0.537826 | − | 0.297042i | ||||
\(933\) | −17.5712 | − | 24.5452i | −0.575255 | − | 0.803573i | ||||
\(934\) | −30.7226 | − | 6.83580i | −1.00527 | − | 0.223674i | ||||
\(935\) | −1.59484 | + | 3.58011i | −0.0521569 | + | 0.117082i | ||||
\(936\) | −10.5413 | + | 28.2894i | −0.344552 | + | 0.924669i | ||||
\(937\) | 12.4640 | + | 38.3601i | 0.407180 | + | 1.25317i | 0.919062 | + | 0.394114i | \(0.128949\pi\) |
−0.511882 | + | 0.859056i | \(0.671051\pi\) | |||||||
\(938\) | −50.4930 | − | 11.2347i | −1.64865 | − | 0.366827i | ||||
\(939\) | −32.9343 | − | 10.9572i | −1.07477 | − | 0.357575i | ||||
\(940\) | −2.41348 | − | 28.1504i | −0.0787192 | − | 0.918166i | ||||
\(941\) | 30.5127 | − | 9.91416i | 0.994684 | − | 0.323192i | 0.233945 | − | 0.972250i | \(-0.424837\pi\) |
0.760739 | + | 0.649058i | \(0.224837\pi\) | |||||||
\(942\) | 12.9520 | − | 1.14540i | 0.422000 | − | 0.0373192i | ||||
\(943\) | 24.8893i | 0.810508i | ||||||||
\(944\) | 0.597513 | + | 8.93962i | 0.0194474 | + | 0.290960i | ||||
\(945\) | −24.8851 | − | 45.3001i | −0.809512 | − | 1.47361i | ||||
\(946\) | 13.7408 | + | 31.6682i | 0.446752 | + | 1.02962i | ||||
\(947\) | 16.2122 | + | 11.7788i | 0.526825 | + | 0.382761i | 0.819169 | − | 0.573552i | \(-0.194435\pi\) |
−0.292344 | + | 0.956313i | \(0.594435\pi\) | |||||||
\(948\) | 34.0168 | − | 6.31061i | 1.10481 | − | 0.204959i | ||||
\(949\) | 52.2614 | 1.69648 | ||||||||
\(950\) | −14.2060 | − | 1.63548i | −0.460902 | − | 0.0530621i | ||||
\(951\) | 17.4203 | + | 0.122292i | 0.564893 | + | 0.00396557i | ||||
\(952\) | −1.65386 | + | 4.63635i | −0.0536018 | + | 0.150265i | ||||
\(953\) | 3.27873 | − | 4.51278i | 0.106208 | − | 0.146183i | −0.752604 | − | 0.658473i | \(-0.771203\pi\) |
0.858813 | + | 0.512290i | \(0.171203\pi\) | |||||||
\(954\) | −3.66430 | − | 8.78064i | −0.118636 | − | 0.284284i | ||||
\(955\) | 32.0512 | + | 14.2780i | 1.03715 | + | 0.462024i | ||||
\(956\) | −2.80778 | − | 1.31454i | −0.0908099 | − | 0.0425154i | ||||
\(957\) | 61.4481 | + | 0.431369i | 1.98634 | + | 0.0139442i | ||||
\(958\) | −0.337222 | − | 3.53061i | −0.0108951 | − | 0.114069i | ||||
\(959\) | −26.9494 | − | 82.9416i | −0.870241 | − | 2.67833i | ||||
\(960\) | −30.5429 | − | 5.20874i | −0.985768 | − | 0.168112i | ||||
\(961\) | 9.12457 | − | 28.0825i | 0.294341 | − | 0.905888i | ||||
\(962\) | 2.31204 | + | 0.514431i | 0.0745431 | + | 0.0165859i | ||||
\(963\) | −5.66655 | − | 18.3107i | −0.182602 | − | 0.590053i | ||||
\(964\) | −2.41640 | + | 0.465848i | −0.0778270 | + | 0.0150040i | ||||
\(965\) | 6.72498 | − | 7.46579i | 0.216485 | − | 0.240332i | ||||
\(966\) | 31.8790 | + | 7.32835i | 1.02569 | + | 0.235786i | ||||
\(967\) | 4.24985 | + | 5.84941i | 0.136666 | + | 0.188104i | 0.871864 | − | 0.489747i | \(-0.162911\pi\) |
−0.735198 | + | 0.677852i | \(0.762911\pi\) | |||||||
\(968\) | 25.6450 | + | 0.730701i | 0.824262 | + | 0.0234856i | ||||
\(969\) | 0.797697 | + | 1.11430i | 0.0256257 | + | 0.0357965i | ||||
\(970\) | 29.6805 | + | 22.0071i | 0.952983 | + | 0.706605i | ||||
\(971\) | −9.88213 | − | 7.17978i | −0.317132 | − | 0.230410i | 0.417818 | − | 0.908531i | \(-0.362795\pi\) |
−0.734951 | + | 0.678120i | \(0.762795\pi\) | |||||||
\(972\) | −30.7846 | − | 4.93041i | −0.987416 | − | 0.158143i | ||||
\(973\) | −15.7093 | + | 48.3483i | −0.503618 | + | 1.54998i | ||||
\(974\) | −3.22546 | − | 1.90328i | −0.103350 | − | 0.0609851i | ||||
\(975\) | 6.62986 | − | 30.0904i | 0.212325 | − | 0.963663i | ||||
\(976\) | 12.4320 | − | 19.7600i | 0.397940 | − | 0.632502i | ||||
\(977\) | 25.4316 | + | 8.26323i | 0.813629 | + | 0.264364i | 0.686134 | − | 0.727475i | \(-0.259306\pi\) |
0.127495 | + | 0.991839i | \(0.459306\pi\) | |||||||
\(978\) | 8.61120 | − | 3.66478i | 0.275356 | − | 0.117187i | ||||
\(979\) | 37.4621 | − | 51.5621i | 1.19729 | − | 1.64793i | ||||
\(980\) | −37.4443 | − | 43.2265i | −1.19611 | − | 1.38082i | ||||
\(981\) | 3.58216 | − | 2.52652i | 0.114370 | − | 0.0806656i | ||||
\(982\) | −1.14033 | + | 1.93250i | −0.0363894 | + | 0.0616685i | ||||
\(983\) | 45.1902 | − | 32.8326i | 1.44134 | − | 1.04720i | 0.453584 | − | 0.891213i | \(-0.350145\pi\) |
0.987760 | − | 0.155984i | \(-0.0498549\pi\) | |||||||
\(984\) | −11.1722 | − | 39.0502i | −0.356156 | − | 1.24487i | ||||
\(985\) | −5.62138 | − | 26.4730i | −0.179112 | − | 0.843500i | ||||
\(986\) | 2.90083 | + | 3.28387i | 0.0923812 | + | 0.104580i | ||||
\(987\) | −14.7166 | − | 46.3987i | −0.468434 | − | 1.47689i | ||||
\(988\) | 10.5092 | + | 9.83022i | 0.334342 | + | 0.312741i | ||||
\(989\) | 15.5562 | + | 5.05452i | 0.494659 | + | 0.160724i | ||||
\(990\) | −42.4892 | − | 1.00882i | −1.35040 | − | 0.0320624i | ||||
\(991\) | −44.5837 | + | 14.4861i | −1.41625 | + | 0.460167i | −0.914408 | − | 0.404793i | \(-0.867344\pi\) |
−0.501840 | + | 0.864960i | \(0.667344\pi\) | |||||||
\(992\) | −3.08623 | + | 6.13092i | −0.0979879 | + | 0.194657i | ||||
\(993\) | −3.54985 | − | 0.0249202i | −0.112651 | − | 0.000790817i | ||||
\(994\) | 7.74790 | − | 0.740030i | 0.245749 | − | 0.0234723i | ||||
\(995\) | −33.7885 | − | 30.4358i | −1.07117 | − | 0.964878i | ||||
\(996\) | 20.1380 | + | 2.64774i | 0.638098 | + | 0.0838969i | ||||
\(997\) | 15.0793 | + | 10.9558i | 0.477566 | + | 0.346972i | 0.800383 | − | 0.599489i | \(-0.204630\pi\) |
−0.322816 | + | 0.946462i | \(0.604630\pi\) | |||||||
\(998\) | −25.1874 | + | 22.2494i | −0.797293 | + | 0.704294i | ||||
\(999\) | −0.0515094 | + | 2.44550i | −0.00162968 | + | 0.0773722i |
(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 | 300.2.n.a.71.42 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.n.a.71.15 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.n.a.71.53 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.n.a.71.4 | ✓ | 224 | |
25.6 | even | 5 | inner | 300.2.n.a.131.4 | yes | 224 | |
75.56 | odd | 10 | inner | 300.2.n.a.131.53 | yes | 224 | |
100.31 | odd | 10 | inner | 300.2.n.a.131.15 | yes | 224 | |
300.131 | even | 10 | inner | 300.2.n.a.131.42 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.n.a.71.4 | ✓ | 224 | 12.11 | even | 2 | inner | |
300.2.n.a.71.15 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.n.a.71.42 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.n.a.71.53 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.n.a.131.4 | yes | 224 | 25.6 | even | 5 | inner | |
300.2.n.a.131.15 | yes | 224 | 100.31 | odd | 10 | inner | |
300.2.n.a.131.42 | yes | 224 | 300.131 | even | 10 | inner | |
300.2.n.a.131.53 | yes | 224 | 75.56 | odd | 10 | inner |