Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(11,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 0, 23]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.br (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 11.7 | ||
Character | \(\chi\) | \(=\) | 930.11 |
Dual form | 930.2.br.a.761.7 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{23}{30}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.951057 | + | 0.309017i | −0.672499 | + | 0.218508i | ||||
\(3\) | 0.821805 | + | 1.52468i | 0.474469 | + | 0.880272i | ||||
\(4\) | 0.809017 | − | 0.587785i | 0.404508 | − | 0.293893i | ||||
\(5\) | 0.866025 | − | 0.500000i | 0.387298 | − | 0.223607i | ||||
\(6\) | −1.25273 | − | 1.19610i | −0.511426 | − | 0.488306i | ||||
\(7\) | 0.122441 | + | 1.16495i | 0.0462784 | + | 0.440310i | 0.992987 | + | 0.118220i | \(0.0377187\pi\) |
−0.946709 | + | 0.322090i | \(0.895615\pi\) | |||||||
\(8\) | −0.587785 | + | 0.809017i | −0.207813 | + | 0.286031i | ||||
\(9\) | −1.64927 | + | 2.50597i | −0.549757 | + | 0.835324i | ||||
\(10\) | −0.669131 | + | 0.743145i | −0.211598 | + | 0.235003i | ||||
\(11\) | 0.519826 | + | 0.231441i | 0.156733 | + | 0.0697822i | 0.483604 | − | 0.875287i | \(-0.339327\pi\) |
−0.326871 | + | 0.945069i | \(0.605994\pi\) | |||||||
\(12\) | 1.56104 | + | 0.750444i | 0.450632 | + | 0.216634i | ||||
\(13\) | 0.447115 | + | 2.10351i | 0.124007 | + | 0.583409i | 0.995642 | + | 0.0932532i | \(0.0297266\pi\) |
−0.871635 | + | 0.490155i | \(0.836940\pi\) | |||||||
\(14\) | −0.476438 | − | 1.07010i | −0.127333 | − | 0.285995i | ||||
\(15\) | 1.47404 | + | 0.909505i | 0.380596 | + | 0.234833i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | −5.00147 | + | 2.22680i | −1.21304 | + | 0.540078i | −0.910678 | − | 0.413117i | \(-0.864440\pi\) |
−0.302357 | + | 0.953195i | \(0.597774\pi\) | |||||||
\(18\) | 0.794163 | − | 2.89298i | 0.187186 | − | 0.681881i | ||||
\(19\) | 3.58590 | + | 0.762207i | 0.822663 | + | 0.174862i | 0.599966 | − | 0.800025i | \(-0.295181\pi\) |
0.222697 | + | 0.974888i | \(0.428514\pi\) | |||||||
\(20\) | 0.406737 | − | 0.913545i | 0.0909491 | − | 0.204275i | ||||
\(21\) | −1.67555 | + | 1.14404i | −0.365634 | + | 0.249651i | ||||
\(22\) | −0.565903 | − | 0.0594788i | −0.120651 | − | 0.0126809i | ||||
\(23\) | −5.52033 | − | 4.01076i | −1.15107 | − | 0.836300i | −0.162446 | − | 0.986717i | \(-0.551938\pi\) |
−0.988623 | + | 0.150417i | \(0.951938\pi\) | |||||||
\(24\) | −1.71653 | − | 0.231328i | −0.350386 | − | 0.0472195i | ||||
\(25\) | 0.500000 | − | 0.866025i | 0.100000 | − | 0.173205i | ||||
\(26\) | −1.07525 | − | 1.86239i | −0.210874 | − | 0.365245i | ||||
\(27\) | −5.17618 | − | 0.455184i | −0.996156 | − | 0.0876002i | ||||
\(28\) | 0.783797 | + | 0.870495i | 0.148124 | + | 0.164508i | ||||
\(29\) | 3.19081 | + | 9.82031i | 0.592519 | + | 1.82359i | 0.566707 | + | 0.823919i | \(0.308217\pi\) |
0.0258119 | + | 0.999667i | \(0.491783\pi\) | |||||||
\(30\) | −1.68295 | − | 0.409487i | −0.307263 | − | 0.0747617i | ||||
\(31\) | 4.19859 | + | 3.65676i | 0.754088 | + | 0.656773i | ||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | 0.0743226 | + | 0.982766i | 0.0129379 | + | 0.171078i | ||||
\(34\) | 4.06856 | − | 3.66335i | 0.697753 | − | 0.628260i | ||||
\(35\) | 0.688512 | + | 0.947655i | 0.116380 | + | 0.160183i | ||||
\(36\) | 0.138685 | + | 2.99679i | 0.0231141 | + | 0.499465i | ||||
\(37\) | −1.33670 | − | 0.771745i | −0.219752 | − | 0.126874i | 0.386083 | − | 0.922464i | \(-0.373828\pi\) |
−0.605836 | + | 0.795590i | \(0.707161\pi\) | |||||||
\(38\) | −3.64593 | + | 0.383203i | −0.591448 | + | 0.0621637i | ||||
\(39\) | −2.83973 | + | 2.41038i | −0.454720 | + | 0.385970i | ||||
\(40\) | −0.104528 | + | 0.994522i | −0.0165274 | + | 0.157248i | ||||
\(41\) | 1.22627 | + | 1.10414i | 0.191511 | + | 0.172437i | 0.759308 | − | 0.650731i | \(-0.225538\pi\) |
−0.567797 | + | 0.823169i | \(0.692204\pi\) | |||||||
\(42\) | 1.24001 | − | 1.60582i | 0.191338 | − | 0.247784i | ||||
\(43\) | −1.07851 | + | 5.07399i | −0.164471 | + | 0.773777i | 0.816146 | + | 0.577845i | \(0.196106\pi\) |
−0.980618 | + | 0.195931i | \(0.937227\pi\) | |||||||
\(44\) | 0.556586 | − | 0.118306i | 0.0839085 | − | 0.0178353i | ||||
\(45\) | −0.175325 | + | 2.99487i | −0.0261360 | + | 0.446449i | ||||
\(46\) | 6.48954 | + | 2.10858i | 0.956830 | + | 0.310893i | ||||
\(47\) | 0.408277 | + | 0.132657i | 0.0595533 | + | 0.0193500i | 0.338642 | − | 0.940915i | \(-0.390032\pi\) |
−0.279089 | + | 0.960265i | \(0.590032\pi\) | |||||||
\(48\) | 1.70400 | − | 0.310432i | 0.245952 | − | 0.0448071i | ||||
\(49\) | 5.50492 | − | 1.17011i | 0.786417 | − | 0.167158i | ||||
\(50\) | −0.207912 | + | 0.978148i | −0.0294032 | + | 0.138331i | ||||
\(51\) | −7.50538 | − | 5.79563i | −1.05096 | − | 0.811550i | ||||
\(52\) | 1.59814 | + | 1.43897i | 0.221621 | + | 0.199549i | ||||
\(53\) | 0.499825 | − | 4.75551i | 0.0686562 | − | 0.653220i | −0.905033 | − | 0.425341i | \(-0.860154\pi\) |
0.973689 | − | 0.227879i | \(-0.0731791\pi\) | |||||||
\(54\) | 5.06350 | − | 1.16662i | 0.689055 | − | 0.158757i | ||||
\(55\) | 0.565903 | − | 0.0594788i | 0.0763064 | − | 0.00802012i | ||||
\(56\) | −1.01443 | − | 0.585683i | −0.135559 | − | 0.0782652i | ||||
\(57\) | 1.78480 | + | 6.09373i | 0.236402 | + | 0.807134i | ||||
\(58\) | −6.06929 | − | 8.35366i | −0.796936 | − | 1.09689i | ||||
\(59\) | −2.81688 | + | 2.53633i | −0.366727 | + | 0.330202i | −0.831806 | − | 0.555067i | \(-0.812693\pi\) |
0.465079 | + | 0.885269i | \(0.346026\pi\) | |||||||
\(60\) | 1.72712 | − | 0.130615i | 0.222970 | − | 0.0168623i | ||||
\(61\) | − | 5.66315i | − | 0.725092i | −0.931966 | − | 0.362546i | \(-0.881908\pi\) | ||
0.931966 | − | 0.362546i | \(-0.118092\pi\) | |||||||
\(62\) | −5.12309 | − | 2.18035i | −0.650633 | − | 0.276904i | ||||
\(63\) | −3.12127 | − | 1.61448i | −0.393243 | − | 0.203406i | ||||
\(64\) | −0.309017 | − | 0.951057i | −0.0386271 | − | 0.118882i | ||||
\(65\) | 1.43897 | + | 1.59814i | 0.178482 | + | 0.198224i | ||||
\(66\) | −0.374376 | − | 0.911699i | −0.0460825 | − | 0.112222i | ||||
\(67\) | 6.10033 | + | 10.5661i | 0.745274 | + | 1.29085i | 0.950067 | + | 0.312047i | \(0.101015\pi\) |
−0.204792 | + | 0.978805i | \(0.565652\pi\) | |||||||
\(68\) | −2.73740 | + | 4.74131i | −0.331958 | + | 0.574968i | ||||
\(69\) | 1.57846 | − | 11.7128i | 0.190025 | − | 1.41005i | ||||
\(70\) | −0.947655 | − | 0.688512i | −0.113266 | − | 0.0822929i | ||||
\(71\) | −10.1259 | − | 1.06427i | −1.20172 | − | 0.126306i | −0.517567 | − | 0.855643i | \(-0.673162\pi\) |
−0.684155 | + | 0.729336i | \(0.739829\pi\) | |||||||
\(72\) | −1.05796 | − | 2.80726i | −0.124681 | − | 0.330839i | ||||
\(73\) | 1.02323 | − | 2.29822i | 0.119760 | − | 0.268986i | −0.843711 | − | 0.536798i | \(-0.819634\pi\) |
0.963471 | + | 0.267812i | \(0.0863005\pi\) | |||||||
\(74\) | 1.50976 | + | 0.320909i | 0.175506 | + | 0.0373050i | ||||
\(75\) | 1.73131 | + | 0.0506337i | 0.199915 | + | 0.00584668i | ||||
\(76\) | 3.34907 | − | 1.49110i | 0.384165 | − | 0.171041i | ||||
\(77\) | −0.205970 | + | 0.633909i | −0.0234724 | + | 0.0722406i | ||||
\(78\) | 1.95589 | − | 3.16993i | 0.221461 | − | 0.358924i | ||||
\(79\) | 0.346214 | + | 0.777609i | 0.0389521 | + | 0.0874878i | 0.931974 | − | 0.362526i | \(-0.118086\pi\) |
−0.893022 | + | 0.450014i | \(0.851419\pi\) | |||||||
\(80\) | −0.207912 | − | 0.978148i | −0.0232452 | − | 0.109360i | ||||
\(81\) | −3.55980 | − | 8.26606i | −0.395533 | − | 0.918452i | ||||
\(82\) | −1.50745 | − | 0.671159i | −0.166470 | − | 0.0741171i | ||||
\(83\) | −2.23296 | + | 2.47995i | −0.245099 | + | 0.272210i | −0.853125 | − | 0.521707i | \(-0.825295\pi\) |
0.608025 | + | 0.793918i | \(0.291962\pi\) | |||||||
\(84\) | −0.683094 | + | 1.91041i | −0.0745317 | + | 0.208443i | ||||
\(85\) | −3.21800 | + | 4.42920i | −0.349041 | + | 0.480414i | ||||
\(86\) | −0.542226 | − | 5.15893i | −0.0584697 | − | 0.556302i | ||||
\(87\) | −12.3506 | + | 12.9353i | −1.32412 | + | 1.38681i | ||||
\(88\) | −0.492786 | + | 0.284510i | −0.0525312 | + | 0.0303289i | ||||
\(89\) | −10.6012 | + | 7.70220i | −1.12372 | + | 0.816431i | −0.984769 | − | 0.173868i | \(-0.944374\pi\) |
−0.138952 | + | 0.990299i | \(0.544374\pi\) | |||||||
\(90\) | −0.758722 | − | 2.90247i | −0.0799763 | − | 0.305947i | ||||
\(91\) | −2.39574 | + | 0.778422i | −0.251141 | + | 0.0816008i | ||||
\(92\) | −6.82351 | −0.711400 | ||||||||
\(93\) | −2.12495 | + | 9.40662i | −0.220347 | + | 0.975422i | ||||
\(94\) | −0.429288 | −0.0442776 | ||||||||
\(95\) | 3.48659 | − | 1.13286i | 0.357716 | − | 0.116229i | ||||
\(96\) | −1.52468 | + | 0.821805i | −0.155612 | + | 0.0838751i | ||||
\(97\) | 0.672915 | − | 0.488901i | 0.0683242 | − | 0.0496404i | −0.553099 | − | 0.833116i | \(-0.686555\pi\) |
0.621423 | + | 0.783475i | \(0.286555\pi\) | |||||||
\(98\) | −4.87391 | + | 2.81395i | −0.492339 | + | 0.284252i | ||||
\(99\) | −1.43732 | + | 0.920960i | −0.144456 | + | 0.0925600i | ||||
\(100\) | −0.104528 | − | 0.994522i | −0.0104528 | − | 0.0994522i | ||||
\(101\) | 9.35065 | − | 12.8701i | 0.930424 | − | 1.28062i | −0.0292699 | − | 0.999572i | \(-0.509318\pi\) |
0.959694 | − | 0.281047i | \(-0.0906818\pi\) | |||||||
\(102\) | 8.92899 | + | 3.19268i | 0.884102 | + | 0.316122i | ||||
\(103\) | −2.88696 | + | 3.20629i | −0.284460 | + | 0.315925i | −0.868393 | − | 0.495877i | \(-0.834847\pi\) |
0.583932 | + | 0.811802i | \(0.301513\pi\) | |||||||
\(104\) | −1.96458 | − | 0.874688i | −0.192643 | − | 0.0857703i | ||||
\(105\) | −0.879044 | + | 1.82855i | −0.0857860 | + | 0.178448i | ||||
\(106\) | 0.994173 | + | 4.67722i | 0.0965626 | + | 0.454291i | ||||
\(107\) | 1.88572 | + | 4.23539i | 0.182299 | + | 0.409450i | 0.981460 | − | 0.191667i | \(-0.0613893\pi\) |
−0.799161 | + | 0.601117i | \(0.794723\pi\) | |||||||
\(108\) | −4.45517 | + | 2.67423i | −0.428699 | + | 0.257328i | ||||
\(109\) | 0.311319 | − | 0.958142i | 0.0298190 | − | 0.0917734i | −0.935039 | − | 0.354544i | \(-0.884636\pi\) |
0.964858 | + | 0.262770i | \(0.0846362\pi\) | |||||||
\(110\) | −0.519826 | + | 0.231441i | −0.0495635 | + | 0.0220671i | ||||
\(111\) | 0.0781526 | − | 2.67226i | 0.00741791 | − | 0.253640i | ||||
\(112\) | 1.14577 | + | 0.243541i | 0.108265 | + | 0.0230124i | ||||
\(113\) | 6.93779 | − | 15.5825i | 0.652653 | − | 1.46588i | −0.218983 | − | 0.975729i | \(-0.570274\pi\) |
0.871636 | − | 0.490154i | \(-0.163059\pi\) | |||||||
\(114\) | −3.58051 | − | 5.24395i | −0.335345 | − | 0.491141i | ||||
\(115\) | −6.78613 | − | 0.713251i | −0.632809 | − | 0.0665110i | ||||
\(116\) | 8.35366 | + | 6.06929i | 0.775618 | + | 0.563519i | ||||
\(117\) | −6.00875 | − | 2.34880i | −0.555509 | − | 0.217147i | ||||
\(118\) | 1.89524 | − | 3.28266i | 0.174471 | − | 0.302193i | ||||
\(119\) | −3.20649 | − | 5.55381i | −0.293939 | − | 0.509117i | ||||
\(120\) | −1.60223 | + | 0.657931i | −0.146263 | + | 0.0600606i | ||||
\(121\) | −7.14378 | − | 7.93397i | −0.649435 | − | 0.721270i | ||||
\(122\) | 1.75001 | + | 5.38598i | 0.158438 | + | 0.487623i | ||||
\(123\) | −0.675698 | + | 2.77705i | −0.0609256 | + | 0.250398i | ||||
\(124\) | 5.54612 | + | 0.490512i | 0.498056 | + | 0.0440492i | ||||
\(125\) | − | 1.00000i | − | 0.0894427i | ||||||
\(126\) | 3.46741 | + | 0.570941i | 0.308901 | + | 0.0508634i | ||||
\(127\) | −11.2462 | + | 10.1261i | −0.997937 | + | 0.898547i | −0.994841 | − | 0.101449i | \(-0.967652\pi\) |
−0.00309626 | + | 0.999995i | \(0.500986\pi\) | |||||||
\(128\) | 0.587785 | + | 0.809017i | 0.0519534 | + | 0.0715077i | ||||
\(129\) | −8.62252 | + | 2.52546i | −0.759171 | + | 0.222354i | ||||
\(130\) | −1.86239 | − | 1.07525i | −0.163342 | − | 0.0943058i | ||||
\(131\) | 12.4646 | − | 1.31008i | 1.08904 | − | 0.114463i | 0.457051 | − | 0.889441i | \(-0.348906\pi\) |
0.631988 | + | 0.774978i | \(0.282239\pi\) | |||||||
\(132\) | 0.637784 | + | 0.751389i | 0.0555119 | + | 0.0654000i | ||||
\(133\) | −0.448871 | + | 4.27072i | −0.0389221 | + | 0.370319i | ||||
\(134\) | −9.06686 | − | 8.16384i | −0.783257 | − | 0.705248i | ||||
\(135\) | −4.71029 | + | 2.19389i | −0.405397 | + | 0.188820i | ||||
\(136\) | 1.13827 | − | 5.35516i | 0.0976062 | − | 0.459201i | ||||
\(137\) | −4.64789 | + | 0.987941i | −0.397096 | + | 0.0844055i | −0.402132 | − | 0.915582i | \(-0.631731\pi\) |
0.00503517 | + | 0.999987i | \(0.498397\pi\) | |||||||
\(138\) | 2.11824 | + | 11.6273i | 0.180316 | + | 0.989780i | ||||
\(139\) | 4.27398 | + | 1.38870i | 0.362514 | + | 0.117788i | 0.484610 | − | 0.874730i | \(-0.338961\pi\) |
−0.122096 | + | 0.992518i | \(0.538961\pi\) | |||||||
\(140\) | 1.11404 | + | 0.361972i | 0.0941532 | + | 0.0305922i | ||||
\(141\) | 0.133265 | + | 0.731508i | 0.0112229 | + | 0.0616041i | ||||
\(142\) | 9.95918 | − | 2.11689i | 0.835756 | − | 0.177645i | ||||
\(143\) | −0.254417 | + | 1.19694i | −0.0212755 | + | 0.100093i | ||||
\(144\) | 1.87367 | + | 2.34294i | 0.156139 | + | 0.195245i | ||||
\(145\) | 7.67348 | + | 6.90923i | 0.637248 | + | 0.573781i | ||||
\(146\) | −0.262964 | + | 2.50193i | −0.0217630 | + | 0.207061i | ||||
\(147\) | 6.30800 | + | 7.43162i | 0.520275 | + | 0.612949i | ||||
\(148\) | −1.53503 | + | 0.161339i | −0.126179 | + | 0.0132619i | ||||
\(149\) | 15.4834 | + | 8.93935i | 1.26845 | + | 0.732340i | 0.974695 | − | 0.223540i | \(-0.0717613\pi\) |
0.293756 | + | 0.955880i | \(0.405095\pi\) | |||||||
\(150\) | −1.66222 | + | 0.486849i | −0.135720 | + | 0.0397510i | ||||
\(151\) | 0.434637 | + | 0.598227i | 0.0353703 | + | 0.0486830i | 0.826336 | − | 0.563178i | \(-0.190421\pi\) |
−0.790966 | + | 0.611861i | \(0.790421\pi\) | |||||||
\(152\) | −2.72438 | + | 2.45304i | −0.220976 | + | 0.198968i | ||||
\(153\) | 2.66849 | − | 16.2062i | 0.215735 | − | 1.31019i | ||||
\(154\) | − | 0.666531i | − | 0.0537106i | ||||||
\(155\) | 5.46446 | + | 1.06755i | 0.438916 | + | 0.0857478i | ||||
\(156\) | −0.880603 | + | 3.61919i | −0.0705047 | + | 0.289767i | ||||
\(157\) | 4.49248 | + | 13.8264i | 0.358539 | + | 1.10347i | 0.953929 | + | 0.300033i | \(0.0969976\pi\) |
−0.595390 | + | 0.803437i | \(0.703002\pi\) | |||||||
\(158\) | −0.569563 | − | 0.632564i | −0.0453120 | − | 0.0503241i | ||||
\(159\) | 7.66137 | − | 3.14603i | 0.607586 | − | 0.249497i | ||||
\(160\) | 0.500000 | + | 0.866025i | 0.0395285 | + | 0.0684653i | ||||
\(161\) | 3.99641 | − | 6.92199i | 0.314961 | − | 0.545529i | ||||
\(162\) | 5.93993 | + | 6.76146i | 0.466685 | + | 0.531230i | ||||
\(163\) | −1.48950 | − | 1.08219i | −0.116667 | − | 0.0847633i | 0.527922 | − | 0.849293i | \(-0.322971\pi\) |
−0.644589 | + | 0.764530i | \(0.722971\pi\) | |||||||
\(164\) | 1.64107 | + | 0.172483i | 0.128146 | + | 0.0134687i | ||||
\(165\) | 0.555748 | + | 0.813939i | 0.0432649 | + | 0.0633651i | ||||
\(166\) | 1.35732 | − | 3.04860i | 0.105349 | − | 0.236617i | ||||
\(167\) | 8.07631 | + | 1.71667i | 0.624964 | + | 0.132840i | 0.509499 | − | 0.860471i | \(-0.329831\pi\) |
0.115465 | + | 0.993312i | \(0.463164\pi\) | |||||||
\(168\) | 0.0593106 | − | 2.02800i | 0.00457591 | − | 0.156464i | ||||
\(169\) | 7.65125 | − | 3.40656i | 0.588558 | − | 0.262043i | ||||
\(170\) | 1.69180 | − | 5.20684i | 0.129755 | − | 0.399346i | ||||
\(171\) | −7.82420 | + | 7.72909i | −0.598332 | + | 0.591058i | ||||
\(172\) | 2.10989 | + | 4.73888i | 0.160877 | + | 0.361336i | ||||
\(173\) | −2.62903 | − | 12.3686i | −0.199881 | − | 0.940368i | −0.957670 | − | 0.287868i | \(-0.907054\pi\) |
0.757789 | − | 0.652500i | \(-0.226280\pi\) | |||||||
\(174\) | 7.74885 | − | 16.1188i | 0.587439 | − | 1.22196i | ||||
\(175\) | 1.07010 | + | 0.476438i | 0.0808917 | + | 0.0360153i | ||||
\(176\) | 0.380749 | − | 0.422865i | 0.0287000 | − | 0.0318746i | ||||
\(177\) | −6.18201 | − | 2.21046i | −0.464669 | − | 0.166148i | ||||
\(178\) | 7.70220 | − | 10.6012i | 0.577304 | − | 0.794591i | ||||
\(179\) | 0.510614 | + | 4.85816i | 0.0381651 | + | 0.363116i | 0.996892 | + | 0.0787862i | \(0.0251045\pi\) |
−0.958726 | + | 0.284330i | \(0.908229\pi\) | |||||||
\(180\) | 1.61850 | + | 2.52596i | 0.120636 | + | 0.188274i | ||||
\(181\) | 10.9043 | − | 6.29562i | 0.810513 | − | 0.467950i | −0.0366213 | − | 0.999329i | \(-0.511660\pi\) |
0.847134 | + | 0.531380i | \(0.178326\pi\) | |||||||
\(182\) | 2.03794 | − | 1.48065i | 0.151062 | − | 0.109753i | ||||
\(183\) | 8.63447 | − | 4.65401i | 0.638278 | − | 0.344034i | ||||
\(184\) | 6.48954 | − | 2.10858i | 0.478415 | − | 0.155447i | ||||
\(185\) | −1.54349 | −0.113480 | ||||||||
\(186\) | −0.885860 | − | 9.60288i | −0.0649544 | − | 0.704117i | ||||
\(187\) | −3.11527 | −0.227811 | ||||||||
\(188\) | 0.408277 | − | 0.132657i | 0.0297766 | − | 0.00967502i | ||||
\(189\) | −0.103510 | − | 6.08572i | −0.00752927 | − | 0.442671i | ||||
\(190\) | −2.96587 | + | 2.15483i | −0.215167 | + | 0.156328i | ||||
\(191\) | 15.8368 | − | 9.14337i | 1.14591 | − | 0.661591i | 0.198022 | − | 0.980198i | \(-0.436548\pi\) |
0.947887 | + | 0.318606i | \(0.103215\pi\) | |||||||
\(192\) | 1.19610 | − | 1.25273i | 0.0863212 | − | 0.0904083i | ||||
\(193\) | −1.65439 | − | 15.7405i | −0.119086 | − | 1.13303i | −0.876939 | − | 0.480601i | \(-0.840419\pi\) |
0.757854 | − | 0.652425i | \(-0.226248\pi\) | |||||||
\(194\) | −0.488901 | + | 0.672915i | −0.0351011 | + | 0.0483125i | ||||
\(195\) | −1.25409 | + | 3.50731i | −0.0898070 | + | 0.251164i | ||||
\(196\) | 3.76580 | − | 4.18235i | 0.268986 | − | 0.298739i | ||||
\(197\) | 16.5671 | + | 7.37615i | 1.18036 | + | 0.525529i | 0.900645 | − | 0.434555i | \(-0.143094\pi\) |
0.279712 | + | 0.960084i | \(0.409761\pi\) | |||||||
\(198\) | 1.08238 | − | 1.32004i | 0.0769215 | − | 0.0938113i | ||||
\(199\) | −4.21524 | − | 19.8311i | −0.298810 | − | 1.40579i | −0.829633 | − | 0.558309i | \(-0.811451\pi\) |
0.530823 | − | 0.847483i | \(-0.321883\pi\) | |||||||
\(200\) | 0.406737 | + | 0.913545i | 0.0287606 | + | 0.0645974i | ||||
\(201\) | −11.0966 | + | 17.9843i | −0.782692 | + | 1.26851i | ||||
\(202\) | −4.91593 | + | 15.1297i | −0.345883 | + | 1.06452i | ||||
\(203\) | −11.0495 | + | 4.91955i | −0.775521 | + | 0.345284i | ||||
\(204\) | −9.47857 | − | 0.277209i | −0.663632 | − | 0.0194085i | ||||
\(205\) | 1.61405 | + | 0.343077i | 0.112730 | + | 0.0239615i | ||||
\(206\) | 1.75486 | − | 3.94148i | 0.122267 | − | 0.274616i | ||||
\(207\) | 19.1554 | − | 7.21897i | 1.33139 | − | 0.501753i | ||||
\(208\) | 2.13872 | + | 0.224789i | 0.148294 | + | 0.0155863i | ||||
\(209\) | 1.68764 | + | 1.22614i | 0.116736 | + | 0.0848140i | ||||
\(210\) | 0.270969 | − | 2.01069i | 0.0186987 | − | 0.138751i | ||||
\(211\) | −8.73743 | + | 15.1337i | −0.601510 | + | 1.04185i | 0.391083 | + | 0.920355i | \(0.372101\pi\) |
−0.992593 | + | 0.121490i | \(0.961233\pi\) | |||||||
\(212\) | −2.39085 | − | 4.14108i | −0.164205 | − | 0.284411i | ||||
\(213\) | −6.69884 | − | 16.3133i | −0.458997 | − | 1.11777i | ||||
\(214\) | −3.10223 | − | 3.44537i | −0.212064 | − | 0.235521i | ||||
\(215\) | 1.60298 | + | 4.93346i | 0.109322 | + | 0.336459i | ||||
\(216\) | 3.41073 | − | 3.92006i | 0.232071 | − | 0.266727i | ||||
\(217\) | −3.74586 | + | 5.33888i | −0.254285 | + | 0.362427i | ||||
\(218\) | 1.00745i | 0.0682331i | ||||||||
\(219\) | 4.34494 | − | 0.328590i | 0.293604 | − | 0.0222040i | ||||
\(220\) | 0.422865 | − | 0.380749i | 0.0285095 | − | 0.0256701i | ||||
\(221\) | −6.92032 | − | 9.52501i | −0.465511 | − | 0.640722i | ||||
\(222\) | 0.751446 | + | 2.56562i | 0.0504337 | + | 0.172193i | ||||
\(223\) | 11.8538 | + | 6.84380i | 0.793790 | + | 0.458295i | 0.841295 | − | 0.540576i | \(-0.181794\pi\) |
−0.0475051 | + | 0.998871i | \(0.515127\pi\) | |||||||
\(224\) | −1.16495 | + | 0.122441i | −0.0778365 | + | 0.00818094i | ||||
\(225\) | 1.34560 | + | 2.68130i | 0.0897067 | + | 0.178753i | ||||
\(226\) | −1.78296 | + | 16.9638i | −0.118601 | + | 1.12841i | ||||
\(227\) | −12.8460 | − | 11.5666i | −0.852620 | − | 0.767703i | 0.121772 | − | 0.992558i | \(-0.461142\pi\) |
−0.974392 | + | 0.224856i | \(0.927809\pi\) | |||||||
\(228\) | 5.02573 | + | 3.88085i | 0.332837 | + | 0.257016i | ||||
\(229\) | 3.74095 | − | 17.5998i | 0.247209 | − | 1.16303i | −0.662917 | − | 0.748693i | \(-0.730682\pi\) |
0.910126 | − | 0.414332i | \(-0.135985\pi\) | |||||||
\(230\) | 6.67440 | − | 1.41869i | 0.440097 | − | 0.0935454i | ||||
\(231\) | −1.13577 | + | 0.206913i | −0.0747284 | + | 0.0136139i | ||||
\(232\) | −9.82031 | − | 3.19081i | −0.644735 | − | 0.209487i | ||||
\(233\) | 24.9434 | + | 8.10459i | 1.63409 | + | 0.530949i | 0.975207 | − | 0.221293i | \(-0.0710277\pi\) |
0.658887 | + | 0.752242i | \(0.271028\pi\) | |||||||
\(234\) | 6.44048 | + | 0.377038i | 0.421027 | + | 0.0246477i | ||||
\(235\) | 0.419907 | − | 0.0892539i | 0.0273917 | − | 0.00582228i | ||||
\(236\) | −0.788087 | + | 3.70766i | −0.0513001 | + | 0.241348i | ||||
\(237\) | −0.901081 | + | 1.16691i | −0.0585315 | + | 0.0757987i | ||||
\(238\) | 4.76578 | + | 4.29113i | 0.308920 | + | 0.278152i | ||||
\(239\) | 1.54501 | − | 14.6997i | 0.0999381 | − | 0.950848i | −0.823556 | − | 0.567235i | \(-0.808013\pi\) |
0.923494 | − | 0.383613i | \(-0.125320\pi\) | |||||||
\(240\) | 1.32050 | − | 1.12084i | 0.0852376 | − | 0.0723502i | ||||
\(241\) | −3.01041 | + | 0.316407i | −0.193918 | + | 0.0203816i | −0.200989 | − | 0.979593i | \(-0.564416\pi\) |
0.00707169 | + | 0.999975i | \(0.497749\pi\) | |||||||
\(242\) | 9.24587 | + | 5.33811i | 0.594347 | + | 0.343147i | ||||
\(243\) | 9.67761 | − | 12.2206i | 0.620819 | − | 0.783954i | ||||
\(244\) | −3.32872 | − | 4.58159i | −0.213099 | − | 0.293306i | ||||
\(245\) | 4.18235 | − | 3.76580i | 0.267200 | − | 0.240588i | ||||
\(246\) | −0.215529 | − | 2.84993i | −0.0137416 | − | 0.181705i | ||||
\(247\) | 7.88378i | 0.501633i | ||||||||
\(248\) | −5.42625 | + | 1.24734i | −0.344567 | + | 0.0792062i | ||||
\(249\) | −5.61619 | − | 1.36650i | −0.355911 | − | 0.0865986i | ||||
\(250\) | 0.309017 | + | 0.951057i | 0.0195440 | + | 0.0601501i | ||||
\(251\) | 8.51058 | + | 9.45196i | 0.537183 | + | 0.596602i | 0.949239 | − | 0.314556i | \(-0.101856\pi\) |
−0.412056 | + | 0.911159i | \(0.635189\pi\) | |||||||
\(252\) | −3.47413 | + | 0.528491i | −0.218850 | + | 0.0332918i | ||||
\(253\) | −1.94136 | − | 3.36253i | −0.122052 | − | 0.211400i | ||||
\(254\) | 7.56661 | − | 13.1058i | 0.474772 | − | 0.822328i | ||||
\(255\) | −9.39767 | − | 1.26647i | −0.588505 | − | 0.0793095i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | −9.15701 | − | 0.962441i | −0.571199 | − | 0.0600354i | −0.185474 | − | 0.982649i | \(-0.559382\pi\) |
−0.385725 | + | 0.922614i | \(0.626049\pi\) | |||||||
\(258\) | 7.42010 | − | 5.06636i | 0.461955 | − | 0.315418i | ||||
\(259\) | 0.735376 | − | 1.65168i | 0.0456941 | − | 0.102631i | ||||
\(260\) | 2.10351 | + | 0.447115i | 0.130454 | + | 0.0277289i | ||||
\(261\) | −29.8720 | − | 8.20028i | −1.84903 | − | 0.507585i | ||||
\(262\) | −11.4497 | + | 5.09775i | −0.707366 | + | 0.314940i | ||||
\(263\) | 8.49185 | − | 26.1352i | 0.523630 | − | 1.61157i | −0.243379 | − | 0.969931i | \(-0.578256\pi\) |
0.767009 | − | 0.641637i | \(-0.221744\pi\) | |||||||
\(264\) | −0.838760 | − | 0.517527i | −0.0516221 | − | 0.0318516i | ||||
\(265\) | −1.94490 | − | 4.36831i | −0.119474 | − | 0.268343i | ||||
\(266\) | −0.892824 | − | 4.20041i | −0.0547426 | − | 0.257544i | ||||
\(267\) | −20.4555 | − | 9.83364i | −1.25185 | − | 0.601809i | ||||
\(268\) | 11.1459 | + | 4.96246i | 0.680842 | + | 0.303130i | ||||
\(269\) | −3.12757 | + | 3.47352i | −0.190692 | + | 0.211784i | −0.830908 | − | 0.556411i | \(-0.812178\pi\) |
0.640216 | + | 0.768195i | \(0.278845\pi\) | |||||||
\(270\) | 3.80181 | − | 3.54207i | 0.231371 | − | 0.215564i | ||||
\(271\) | 12.0604 | − | 16.5997i | 0.732618 | − | 1.00836i | −0.266392 | − | 0.963865i | \(-0.585831\pi\) |
0.999010 | − | 0.0444972i | \(-0.0141686\pi\) | |||||||
\(272\) | 0.572272 | + | 5.44480i | 0.0346991 | + | 0.330140i | ||||
\(273\) | −3.15567 | − | 3.01301i | −0.190990 | − | 0.182356i | ||||
\(274\) | 4.11512 | − | 2.37587i | 0.248604 | − | 0.143531i | ||||
\(275\) | 0.460347 | − | 0.334462i | 0.0277600 | − | 0.0201688i | ||||
\(276\) | −5.60759 | − | 10.4036i | −0.337537 | − | 0.626225i | ||||
\(277\) | 28.9704 | − | 9.41307i | 1.74067 | − | 0.565576i | 0.745744 | − | 0.666233i | \(-0.232094\pi\) |
0.994921 | + | 0.100656i | \(0.0320942\pi\) | |||||||
\(278\) | −4.49393 | −0.269528 | ||||||||
\(279\) | −16.0883 | + | 4.49056i | −0.963184 | + | 0.268843i | ||||
\(280\) | −1.17137 | −0.0700025 | ||||||||
\(281\) | 6.09864 | − | 1.98157i | 0.363815 | − | 0.118211i | −0.121405 | − | 0.992603i | \(-0.538740\pi\) |
0.485219 | + | 0.874393i | \(0.338740\pi\) | |||||||
\(282\) | −0.352791 | − | 0.654524i | −0.0210084 | − | 0.0389764i | ||||
\(283\) | 12.5885 | − | 9.14610i | 0.748310 | − | 0.543679i | −0.146993 | − | 0.989138i | \(-0.546959\pi\) |
0.895303 | + | 0.445459i | \(0.146959\pi\) | |||||||
\(284\) | −8.81759 | + | 5.09084i | −0.523227 | + | 0.302085i | ||||
\(285\) | 4.59254 | + | 4.38492i | 0.272039 | + | 0.259741i | ||||
\(286\) | −0.127909 | − | 1.21698i | −0.00756344 | − | 0.0719613i | ||||
\(287\) | −1.13612 | + | 1.56373i | −0.0670630 | + | 0.0923042i | ||||
\(288\) | −2.50597 | − | 1.64927i | −0.147666 | − | 0.0971843i | ||||
\(289\) | 8.68088 | − | 9.64109i | 0.510640 | − | 0.567123i | ||||
\(290\) | −9.43298 | − | 4.19984i | −0.553924 | − | 0.246623i | ||||
\(291\) | 1.29842 | + | 0.624195i | 0.0761148 | + | 0.0365910i | ||||
\(292\) | −0.523046 | − | 2.46074i | −0.0306090 | − | 0.144004i | ||||
\(293\) | 12.2895 | + | 27.6027i | 0.717960 | + | 1.61257i | 0.788484 | + | 0.615055i | \(0.210866\pi\) |
−0.0705235 | + | 0.997510i | \(0.522467\pi\) | |||||||
\(294\) | −8.29576 | − | 5.11861i | −0.483819 | − | 0.298523i | ||||
\(295\) | −1.17133 | + | 3.60497i | −0.0681972 | + | 0.209889i | ||||
\(296\) | 1.41005 | − | 0.627794i | 0.0819573 | − | 0.0364898i | ||||
\(297\) | −2.58536 | − | 1.43460i | −0.150018 | − | 0.0832439i | ||||
\(298\) | −17.4880 | − | 3.71719i | −1.01305 | − | 0.215331i | ||||
\(299\) | 5.96844 | − | 13.4053i | 0.345164 | − | 0.775251i | ||||
\(300\) | 1.43042 | − | 0.976675i | 0.0825854 | − | 0.0563884i | ||||
\(301\) | −6.04300 | − | 0.635145i | −0.348313 | − | 0.0366091i | ||||
\(302\) | −0.598227 | − | 0.434637i | −0.0344241 | − | 0.0250106i | ||||
\(303\) | 27.3071 | + | 3.68002i | 1.56875 | + | 0.211412i | ||||
\(304\) | 1.83301 | − | 3.17486i | 0.105130 | − | 0.182091i | ||||
\(305\) | −2.83158 | − | 4.90443i | −0.162136 | − | 0.280827i | ||||
\(306\) | 2.47009 | + | 16.2376i | 0.141206 | + | 0.928241i | ||||
\(307\) | −13.6916 | − | 15.2061i | −0.781421 | − | 0.867856i | 0.212590 | − | 0.977142i | \(-0.431810\pi\) |
−0.994010 | + | 0.109286i | \(0.965144\pi\) | |||||||
\(308\) | 0.205970 | + | 0.633909i | 0.0117362 | + | 0.0361203i | ||||
\(309\) | −7.26107 | − | 1.76673i | −0.413068 | − | 0.100506i | ||||
\(310\) | −5.52690 | + | 0.673310i | −0.313907 | + | 0.0382414i | ||||
\(311\) | 32.8476i | 1.86262i | 0.364230 | + | 0.931309i | \(0.381332\pi\) | ||||
−0.364230 | + | 0.931309i | \(0.618668\pi\) | |||||||
\(312\) | −0.280888 | − | 3.71417i | −0.0159021 | − | 0.210274i | ||||
\(313\) | 13.2534 | − | 11.9334i | 0.749125 | − | 0.674515i | −0.203359 | − | 0.979104i | \(-0.565186\pi\) |
0.952484 | + | 0.304589i | \(0.0985192\pi\) | |||||||
\(314\) | −8.54521 | − | 11.7615i | −0.482234 | − | 0.663738i | ||||
\(315\) | −3.51034 | + | 0.162450i | −0.197785 | + | 0.00915304i | ||||
\(316\) | 0.737160 | + | 0.425599i | 0.0414685 | + | 0.0239418i | ||||
\(317\) | 27.4340 | − | 2.88343i | 1.54085 | − | 0.161950i | 0.704323 | − | 0.709880i | \(-0.251251\pi\) |
0.836524 | + | 0.547930i | \(0.184584\pi\) | |||||||
\(318\) | −6.31422 | + | 5.35955i | −0.354084 | + | 0.300549i | ||||
\(319\) | −0.614160 | + | 5.84334i | −0.0343863 | + | 0.327164i | ||||
\(320\) | −0.743145 | − | 0.669131i | −0.0415431 | − | 0.0374055i | ||||
\(321\) | −4.90790 | + | 6.35577i | −0.273932 | + | 0.354744i | ||||
\(322\) | −1.66180 | + | 7.81816i | −0.0926086 | + | 0.435689i | ||||
\(323\) | −19.6321 | + | 4.17293i | −1.09236 | + | 0.232188i | ||||
\(324\) | −7.73861 | − | 4.59499i | −0.429923 | − | 0.255277i | ||||
\(325\) | 2.04525 | + | 0.664542i | 0.113450 | + | 0.0368622i | ||||
\(326\) | 1.75101 | + | 0.568938i | 0.0969796 | + | 0.0315106i | ||||
\(327\) | 1.71670 | − | 0.312745i | 0.0949337 | − | 0.0172948i | ||||
\(328\) | −1.61405 | + | 0.343077i | −0.0891209 | + | 0.0189432i | ||||
\(329\) | −0.104549 | + | 0.491865i | −0.00576398 | + | 0.0271174i | ||||
\(330\) | −0.780069 | − | 0.602366i | −0.0429414 | − | 0.0331592i | ||||
\(331\) | 2.86711 | + | 2.58156i | 0.157591 | + | 0.141895i | 0.744154 | − | 0.668008i | \(-0.232853\pi\) |
−0.586563 | + | 0.809903i | \(0.699519\pi\) | |||||||
\(332\) | −0.348823 | + | 3.31883i | −0.0191441 | + | 0.182144i | ||||
\(333\) | 4.13855 | − | 2.07692i | 0.226791 | − | 0.113814i | ||||
\(334\) | −8.21151 | + | 0.863065i | −0.449314 | + | 0.0472248i | ||||
\(335\) | 10.5661 | + | 6.10033i | 0.577287 | + | 0.333297i | ||||
\(336\) | 0.570278 | + | 1.94707i | 0.0311112 | + | 0.106221i | ||||
\(337\) | 6.05519 | + | 8.33426i | 0.329847 | + | 0.453996i | 0.941442 | − | 0.337175i | \(-0.109472\pi\) |
−0.611594 | + | 0.791171i | \(0.709472\pi\) | |||||||
\(338\) | −6.22409 | + | 5.60419i | −0.338546 | + | 0.304828i | ||||
\(339\) | 29.4598 | − | 2.22793i | 1.60004 | − | 0.121004i | ||||
\(340\) | 5.47479i | 0.296912i | ||||||||
\(341\) | 1.33621 | + | 2.87260i | 0.0723598 | + | 0.155560i | ||||
\(342\) | 5.05284 | − | 9.76861i | 0.273226 | − | 0.528226i | ||||
\(343\) | 4.57095 | + | 14.0679i | 0.246808 | + | 0.759597i | ||||
\(344\) | −3.47101 | − | 3.85495i | −0.187145 | − | 0.207845i | ||||
\(345\) | −4.48940 | − | 10.9328i | −0.241701 | − | 0.588602i | ||||
\(346\) | 6.32246 | + | 10.9508i | 0.339898 | + | 0.588720i | ||||
\(347\) | −14.3911 | + | 24.9261i | −0.772554 | + | 1.33810i | 0.163605 | + | 0.986526i | \(0.447688\pi\) |
−0.936159 | + | 0.351577i | \(0.885646\pi\) | |||||||
\(348\) | −2.38862 | + | 17.7244i | −0.128043 | + | 0.950127i | ||||
\(349\) | −12.5161 | − | 9.09349i | −0.669973 | − | 0.486764i | 0.200043 | − | 0.979787i | \(-0.435892\pi\) |
−0.870016 | + | 0.493023i | \(0.835892\pi\) | |||||||
\(350\) | −1.16495 | − | 0.122441i | −0.0622692 | − | 0.00654475i | ||||
\(351\) | −1.35686 | − | 11.0917i | −0.0724239 | − | 0.592029i | ||||
\(352\) | −0.231441 | + | 0.519826i | −0.0123359 | + | 0.0277068i | ||||
\(353\) | −7.48355 | − | 1.59068i | −0.398309 | − | 0.0846632i | 0.00440211 | − | 0.999990i | \(-0.498599\pi\) |
−0.402711 | + | 0.915327i | \(0.631932\pi\) | |||||||
\(354\) | 6.56251 | + | 0.191927i | 0.348794 | + | 0.0102008i | ||||
\(355\) | −9.30142 | + | 4.14126i | −0.493668 | + | 0.219795i | ||||
\(356\) | −4.04929 | + | 12.4624i | −0.214612 | + | 0.660507i | ||||
\(357\) | 5.83265 | − | 9.45302i | 0.308696 | − | 0.500307i | ||||
\(358\) | −1.98688 | − | 4.46260i | −0.105010 | − | 0.235856i | ||||
\(359\) | 1.09807 | + | 5.16601i | 0.0579539 | + | 0.272652i | 0.997578 | − | 0.0695567i | \(-0.0221585\pi\) |
−0.939624 | + | 0.342208i | \(0.888825\pi\) | |||||||
\(360\) | −2.31985 | − | 1.90218i | −0.122267 | − | 0.100254i | ||||
\(361\) | −5.07962 | − | 2.26159i | −0.267348 | − | 0.119031i | ||||
\(362\) | −8.42518 | + | 9.35711i | −0.442818 | + | 0.491799i | ||||
\(363\) | 6.22594 | − | 17.4121i | 0.326777 | − | 0.913900i | ||||
\(364\) | −1.48065 | + | 2.03794i | −0.0776070 | + | 0.106817i | ||||
\(365\) | −0.262964 | − | 2.50193i | −0.0137641 | − | 0.130957i | ||||
\(366\) | −6.77370 | + | 7.09442i | −0.354067 | + | 0.370831i | ||||
\(367\) | −4.30266 | + | 2.48414i | −0.224597 | + | 0.129671i | −0.608077 | − | 0.793878i | \(-0.708059\pi\) |
0.383480 | + | 0.923549i | \(0.374725\pi\) | |||||||
\(368\) | −5.52033 | + | 4.01076i | −0.287767 | + | 0.209075i | ||||
\(369\) | −4.78939 | + | 1.25197i | −0.249326 | + | 0.0651751i | ||||
\(370\) | 1.46795 | − | 0.476964i | 0.0763148 | − | 0.0247962i | ||||
\(371\) | 5.60113 | 0.290796 | ||||||||
\(372\) | 3.80996 | + | 8.85913i | 0.197537 | + | 0.459325i | ||||
\(373\) | −33.1963 | −1.71884 | −0.859419 | − | 0.511271i | \(-0.829175\pi\) | ||||
−0.859419 | + | 0.511271i | \(0.829175\pi\) | |||||||
\(374\) | 2.96280 | − | 0.962671i | 0.153203 | − | 0.0497785i | ||||
\(375\) | 1.52468 | − | 0.821805i | 0.0787339 | − | 0.0424378i | ||||
\(376\) | −0.347301 | + | 0.252329i | −0.0179107 | + | 0.0130129i | ||||
\(377\) | −19.2305 | + | 11.1027i | −0.990419 | + | 0.571819i | ||||
\(378\) | 1.97903 | + | 5.75588i | 0.101791 | + | 0.296050i | ||||
\(379\) | 2.07737 | + | 19.7648i | 0.106707 | + | 1.01525i | 0.908567 | + | 0.417739i | \(0.137177\pi\) |
−0.801860 | + | 0.597512i | \(0.796156\pi\) | |||||||
\(380\) | 2.15483 | − | 2.96587i | 0.110540 | − | 0.152146i | ||||
\(381\) | −24.6812 | − | 8.82509i | −1.26446 | − | 0.452123i | ||||
\(382\) | −12.2362 | + | 13.5897i | −0.626059 | + | 0.695309i | ||||
\(383\) | 15.2225 | + | 6.77751i | 0.777835 | + | 0.346315i | 0.756955 | − | 0.653467i | \(-0.226686\pi\) |
0.0208806 | + | 0.999782i | \(0.493353\pi\) | |||||||
\(384\) | −0.750444 | + | 1.56104i | −0.0382959 | + | 0.0796613i | ||||
\(385\) | 0.138580 | + | 0.651966i | 0.00706267 | + | 0.0332273i | ||||
\(386\) | 6.43750 | + | 14.4589i | 0.327660 | + | 0.735937i | ||||
\(387\) | −10.9365 | − | 11.0711i | −0.555935 | − | 0.562776i | ||||
\(388\) | 0.257031 | − | 0.791059i | 0.0130488 | − | 0.0401599i | ||||
\(389\) | −18.9726 | + | 8.44715i | −0.961950 | + | 0.428288i | −0.826774 | − | 0.562534i | \(-0.809826\pi\) |
−0.135176 | + | 0.990822i | \(0.543160\pi\) | |||||||
\(390\) | 0.108888 | − | 3.72319i | 0.00551376 | − | 0.188531i | ||||
\(391\) | 36.5409 | + | 7.76702i | 1.84795 | + | 0.392795i | ||||
\(392\) | −2.28907 | + | 5.14134i | −0.115616 | + | 0.259677i | ||||
\(393\) | 12.2409 | + | 17.9279i | 0.617474 | + | 0.904342i | ||||
\(394\) | −18.0356 | − | 1.89562i | −0.908621 | − | 0.0954999i | ||||
\(395\) | 0.688634 | + | 0.500322i | 0.0346490 | + | 0.0251739i | ||||
\(396\) | −0.621490 | + | 1.58991i | −0.0312311 | + | 0.0798959i | ||||
\(397\) | 2.36809 | − | 4.10165i | 0.118851 | − | 0.205856i | −0.800462 | − | 0.599384i | \(-0.795412\pi\) |
0.919313 | + | 0.393528i | \(0.128746\pi\) | |||||||
\(398\) | 10.1371 | + | 17.5579i | 0.508126 | + | 0.880100i | ||||
\(399\) | −6.88035 | + | 2.82532i | −0.344448 | + | 0.141443i | ||||
\(400\) | −0.669131 | − | 0.743145i | −0.0334565 | − | 0.0371572i | ||||
\(401\) | −5.38252 | − | 16.5657i | −0.268790 | − | 0.827251i | −0.990796 | − | 0.135364i | \(-0.956780\pi\) |
0.722006 | − | 0.691887i | \(-0.243220\pi\) | |||||||
\(402\) | 4.99601 | − | 20.5331i | 0.249178 | − | 1.02410i | ||||
\(403\) | −5.81477 | + | 10.4668i | −0.289654 | + | 0.521386i | ||||
\(404\) | − | 15.9083i | − | 0.791466i | ||||||
\(405\) | −7.21591 | − | 5.37872i | −0.358561 | − | 0.267271i | ||||
\(406\) | 8.98846 | − | 8.09324i | 0.446090 | − | 0.401661i | ||||
\(407\) | −0.516238 | − | 0.710541i | −0.0255890 | − | 0.0352202i | ||||
\(408\) | 9.10032 | − | 2.66540i | 0.450533 | − | 0.131957i | ||||
\(409\) | −22.7494 | − | 13.1343i | −1.12488 | − | 0.649452i | −0.182240 | − | 0.983254i | \(-0.558335\pi\) |
−0.942643 | + | 0.333802i | \(0.891668\pi\) | |||||||
\(410\) | −1.64107 | + | 0.172483i | −0.0810466 | + | 0.00851834i | ||||
\(411\) | −5.32595 | − | 6.27464i | −0.262710 | − | 0.309505i | ||||
\(412\) | −0.450987 | + | 4.29085i | −0.0222185 | + | 0.211395i | ||||
\(413\) | −3.29960 | − | 2.97097i | −0.162363 | − | 0.146192i | ||||
\(414\) | −15.9871 | + | 12.7850i | −0.785721 | + | 0.628348i | ||||
\(415\) | −0.693824 | + | 3.26418i | −0.0340585 | + | 0.160233i | ||||
\(416\) | −2.10351 | + | 0.447115i | −0.103133 | + | 0.0219216i | ||||
\(417\) | 1.39506 | + | 7.65768i | 0.0683165 | + | 0.374998i | ||||
\(418\) | −1.98394 | − | 0.644621i | −0.0970377 | − | 0.0315294i | ||||
\(419\) | −5.07827 | − | 1.65003i | −0.248090 | − | 0.0806092i | 0.182333 | − | 0.983237i | \(-0.441635\pi\) |
−0.430422 | + | 0.902628i | \(0.641635\pi\) | |||||||
\(420\) | 0.363630 | + | 1.99601i | 0.0177433 | + | 0.0973955i | ||||
\(421\) | 8.11085 | − | 1.72401i | 0.395299 | − | 0.0840233i | −0.00597357 | − | 0.999982i | \(-0.501901\pi\) |
0.401272 | + | 0.915959i | \(0.368568\pi\) | |||||||
\(422\) | 3.63323 | − | 17.0930i | 0.176863 | − | 0.832074i | ||||
\(423\) | −1.00580 | + | 0.804343i | −0.0489034 | + | 0.0391085i | ||||
\(424\) | 3.55350 | + | 3.19959i | 0.172573 | + | 0.155386i | ||||
\(425\) | −0.572272 | + | 5.44480i | −0.0277593 | + | 0.264112i | ||||
\(426\) | 11.4121 | + | 13.4448i | 0.552917 | + | 0.651405i | ||||
\(427\) | 6.59729 | − | 0.693403i | 0.319265 | − | 0.0335561i | ||||
\(428\) | 4.01507 | + | 2.31810i | 0.194076 | + | 0.112050i | ||||
\(429\) | −2.03403 | + | 0.595747i | −0.0982037 | + | 0.0287630i | ||||
\(430\) | −3.04905 | − | 4.19665i | −0.147038 | − | 0.202381i | ||||
\(431\) | 19.2853 | − | 17.3645i | 0.928938 | − | 0.836420i | −0.0578680 | − | 0.998324i | \(-0.518430\pi\) |
0.986806 | + | 0.161904i | \(0.0517636\pi\) | |||||||
\(432\) | −2.03243 | + | 4.78218i | −0.0977855 | + | 0.230083i | ||||
\(433\) | − | 5.55549i | − | 0.266980i | −0.991050 | − | 0.133490i | \(-0.957382\pi\) | ||
0.991050 | − | 0.133490i | \(-0.0426184\pi\) | |||||||
\(434\) | 1.91272 | − | 6.23511i | 0.0918134 | − | 0.299295i | ||||
\(435\) | −4.22823 | + | 17.3776i | −0.202728 | + | 0.833193i | ||||
\(436\) | −0.311319 | − | 0.958142i | −0.0149095 | − | 0.0458867i | ||||
\(437\) | −16.7384 | − | 18.5898i | −0.800704 | − | 0.889272i | ||||
\(438\) | −4.03074 | + | 1.65517i | −0.192596 | + | 0.0790869i | ||||
\(439\) | 19.1175 | + | 33.1126i | 0.912430 | + | 1.58038i | 0.810620 | + | 0.585572i | \(0.199130\pi\) |
0.101810 | + | 0.994804i | \(0.467537\pi\) | |||||||
\(440\) | −0.284510 | + | 0.492786i | −0.0135635 | + | 0.0234927i | ||||
\(441\) | −6.14685 | + | 15.7250i | −0.292707 | + | 0.748809i | ||||
\(442\) | 9.52501 | + | 6.92032i | 0.453059 | + | 0.329166i | ||||
\(443\) | 13.1871 | + | 1.38602i | 0.626537 | + | 0.0658517i | 0.412476 | − | 0.910969i | \(-0.364664\pi\) |
0.214061 | + | 0.976820i | \(0.431331\pi\) | |||||||
\(444\) | −1.50749 | − | 2.20784i | −0.0715422 | − | 0.104779i | ||||
\(445\) | −5.32978 | + | 11.9709i | −0.252656 | + | 0.567474i | ||||
\(446\) | −13.3885 | − | 2.84581i | −0.633964 | − | 0.134753i | ||||
\(447\) | −0.905265 | + | 30.9536i | −0.0428176 | + | 1.46405i | ||||
\(448\) | 1.07010 | − | 0.476438i | 0.0505573 | − | 0.0225096i | ||||
\(449\) | −6.03767 | + | 18.5820i | −0.284935 | + | 0.876940i | 0.701483 | + | 0.712686i | \(0.252522\pi\) |
−0.986418 | + | 0.164254i | \(0.947478\pi\) | |||||||
\(450\) | −2.10831 | − | 2.13425i | −0.0993866 | − | 0.100610i | ||||
\(451\) | 0.381903 | + | 0.857769i | 0.0179831 | + | 0.0403908i | ||||
\(452\) | −3.54639 | − | 16.6845i | −0.166808 | − | 0.784772i | ||||
\(453\) | −0.554915 | + | 1.15431i | −0.0260722 | + | 0.0542341i | ||||
\(454\) | 15.7916 | + | 7.03086i | 0.741135 | + | 0.329975i | ||||
\(455\) | −1.68556 | + | 1.87200i | −0.0790202 | + | 0.0877608i | ||||
\(456\) | −5.97901 | − | 2.13787i | −0.279993 | − | 0.100115i | ||||
\(457\) | 8.32696 | − | 11.4611i | 0.389519 | − | 0.536126i | −0.568556 | − | 0.822644i | \(-0.692498\pi\) |
0.958075 | + | 0.286518i | \(0.0924978\pi\) | |||||||
\(458\) | 1.88078 | + | 17.8944i | 0.0878829 | + | 0.836150i | ||||
\(459\) | 26.9021 | − | 9.24972i | 1.25568 | − | 0.431740i | ||||
\(460\) | −5.90933 | + | 3.41175i | −0.275524 | + | 0.159074i | ||||
\(461\) | 23.3216 | − | 16.9441i | 1.08619 | − | 0.789166i | 0.107442 | − | 0.994211i | \(-0.465734\pi\) |
0.978752 | + | 0.205045i | \(0.0657341\pi\) | |||||||
\(462\) | 1.01624 | − | 0.547759i | 0.0472800 | − | 0.0254841i | ||||
\(463\) | −30.0461 | + | 9.76257i | −1.39636 | + | 0.453705i | −0.908012 | − | 0.418943i | \(-0.862401\pi\) |
−0.488349 | + | 0.872649i | \(0.662401\pi\) | |||||||
\(464\) | 10.3257 | 0.479358 | ||||||||
\(465\) | 2.86305 | + | 9.20885i | 0.132771 | + | 0.427050i | ||||
\(466\) | −26.2270 | −1.21494 | ||||||||
\(467\) | −2.95370 | + | 0.959715i | −0.136681 | + | 0.0444103i | −0.376559 | − | 0.926393i | \(-0.622893\pi\) |
0.239878 | + | 0.970803i | \(0.422893\pi\) | |||||||
\(468\) | −6.24177 | + | 1.63163i | −0.288526 | + | 0.0754223i | ||||
\(469\) | −11.5620 | + | 8.40030i | −0.533885 | + | 0.387890i | ||||
\(470\) | −0.371774 | + | 0.214644i | −0.0171487 | + | 0.00990078i | ||||
\(471\) | −17.3889 | + | 18.2122i | −0.801238 | + | 0.839175i | ||||
\(472\) | −0.396214 | − | 3.76972i | −0.0182372 | − | 0.173516i | ||||
\(473\) | −1.73497 | + | 2.38798i | −0.0797740 | + | 0.109800i | ||||
\(474\) | 0.496385 | − | 1.38824i | 0.0227997 | − | 0.0637641i | ||||
\(475\) | 2.45304 | − | 2.72438i | 0.112553 | − | 0.125003i | ||||
\(476\) | −5.85856 | − | 2.60840i | −0.268527 | − | 0.119556i | ||||
\(477\) | 11.0928 | + | 9.09568i | 0.507906 | + | 0.416463i | ||||
\(478\) | 3.07308 | + | 14.4577i | 0.140560 | + | 0.661281i | ||||
\(479\) | 8.08892 | + | 18.1680i | 0.369592 | + | 0.830118i | 0.998609 | + | 0.0527261i | \(0.0167910\pi\) |
−0.629017 | + | 0.777392i | \(0.716542\pi\) | |||||||
\(480\) | −0.909505 | + | 1.47404i | −0.0415130 | + | 0.0672805i | ||||
\(481\) | 1.02571 | − | 3.15682i | 0.0467685 | − | 0.143939i | ||||
\(482\) | 2.76530 | − | 1.23119i | 0.125956 | − | 0.0560791i | ||||
\(483\) | 13.8381 | + | 0.404706i | 0.629654 | + | 0.0184148i | ||||
\(484\) | −10.4429 | − | 2.21971i | −0.474678 | − | 0.100896i | ||||
\(485\) | 0.338311 | − | 0.759858i | 0.0153619 | − | 0.0345034i | ||||
\(486\) | −5.42756 | + | 14.6131i | −0.246199 | + | 0.662862i | ||||
\(487\) | −17.9348 | − | 1.88503i | −0.812705 | − | 0.0854188i | −0.310948 | − | 0.950427i | \(-0.600646\pi\) |
−0.501758 | + | 0.865008i | \(0.667313\pi\) | |||||||
\(488\) | 4.58159 | + | 3.32872i | 0.207399 | + | 0.150684i | ||||
\(489\) | 0.425903 | − | 3.16035i | 0.0192600 | − | 0.142916i | ||||
\(490\) | −2.81395 | + | 4.87391i | −0.127121 | + | 0.220181i | ||||
\(491\) | 0.426512 | + | 0.738741i | 0.0192482 | + | 0.0333389i | 0.875489 | − | 0.483238i | \(-0.160539\pi\) |
−0.856241 | + | 0.516577i | \(0.827206\pi\) | |||||||
\(492\) | 1.08566 | + | 2.64384i | 0.0489452 | + | 0.119194i | ||||
\(493\) | −37.8266 | − | 42.0107i | −1.70363 | − | 1.89207i | ||||
\(494\) | −2.43622 | − | 7.49792i | −0.109611 | − | 0.337347i | ||||
\(495\) | −0.784276 | + | 1.51624i | −0.0352506 | + | 0.0681497i | ||||
\(496\) | 4.77522 | − | 2.86309i | 0.214414 | − | 0.128557i | ||||
\(497\) | − | 11.9265i | − | 0.534975i | ||||||
\(498\) | 5.76358 | − | 0.435876i | 0.258272 | − | 0.0195321i | ||||
\(499\) | −7.37273 | + | 6.63843i | −0.330049 | + | 0.297177i | −0.817448 | − | 0.576002i | \(-0.804612\pi\) |
0.487400 | + | 0.873179i | \(0.337945\pi\) | |||||||
\(500\) | −0.587785 | − | 0.809017i | −0.0262866 | − | 0.0361803i | ||||
\(501\) | 4.01979 | + | 13.7245i | 0.179591 | + | 0.613167i | ||||
\(502\) | −11.0149 | − | 6.35943i | −0.491617 | − | 0.283835i | ||||
\(503\) | −32.0836 | + | 3.37213i | −1.43054 | + | 0.150356i | −0.787895 | − | 0.615810i | \(-0.788829\pi\) |
−0.642644 | + | 0.766165i | \(0.722162\pi\) | |||||||
\(504\) | 3.14078 | − | 1.57619i | 0.139902 | − | 0.0702091i | ||||
\(505\) | 1.66287 | − | 15.8211i | 0.0739966 | − | 0.704031i | ||||
\(506\) | 2.88542 | + | 2.59804i | 0.128273 | + | 0.115497i | ||||
\(507\) | 11.4817 | + | 8.86615i | 0.509922 | + | 0.393760i | ||||
\(508\) | −3.14637 | + | 14.8025i | −0.139598 | + | 0.656756i | ||||
\(509\) | −6.94827 | + | 1.47690i | −0.307977 | + | 0.0654625i | −0.359307 | − | 0.933219i | \(-0.616987\pi\) |
0.0513307 | + | 0.998682i | \(0.483654\pi\) | |||||||
\(510\) | 9.32907 | − | 1.69955i | 0.413098 | − | 0.0752575i | ||||
\(511\) | 2.80259 | + | 0.910618i | 0.123979 | + | 0.0402834i | ||||
\(512\) | 0.951057 | + | 0.309017i | 0.0420312 | + | 0.0136568i | ||||
\(513\) | −18.2143 | − | 5.57757i | −0.804182 | − | 0.246256i | ||||
\(514\) | 9.00625 | − | 1.91434i | 0.397248 | − | 0.0844378i | ||||
\(515\) | −0.897032 | + | 4.22021i | −0.0395280 | + | 0.185964i | ||||
\(516\) | −5.49134 | + | 7.11133i | −0.241743 | + | 0.313059i | ||||
\(517\) | 0.181531 | + | 0.163451i | 0.00798370 | + | 0.00718856i | ||||
\(518\) | −0.188987 | + | 1.79809i | −0.00830359 | + | 0.0790034i | ||||
\(519\) | 16.6976 | − | 14.1730i | 0.732942 | − | 0.622126i | ||||
\(520\) | −2.13872 | + | 0.224789i | −0.0937892 | + | 0.00985764i | ||||
\(521\) | −5.15742 | − | 2.97764i | −0.225951 | − | 0.130453i | 0.382752 | − | 0.923851i | \(-0.374976\pi\) |
−0.608703 | + | 0.793398i | \(0.708310\pi\) | |||||||
\(522\) | 30.9439 | − | 1.43201i | 1.35438 | − | 0.0626775i | ||||
\(523\) | −11.8967 | − | 16.3744i | −0.520207 | − | 0.716004i | 0.465392 | − | 0.885105i | \(-0.345914\pi\) |
−0.985599 | + | 0.169101i | \(0.945914\pi\) | |||||||
\(524\) | 9.31404 | − | 8.38640i | 0.406886 | − | 0.366362i | ||||
\(525\) | 0.152998 | + | 2.02309i | 0.00667738 | + | 0.0882948i | ||||
\(526\) | 27.4802i | 1.19819i | ||||||||
\(527\) | −29.1420 | − | 8.93976i | −1.26944 | − | 0.389422i | ||||
\(528\) | 0.957633 | + | 0.233006i | 0.0416756 | + | 0.0101403i | ||||
\(529\) | 7.28051 | + | 22.4071i | 0.316544 | + | 0.974222i | ||||
\(530\) | 3.19959 | + | 3.55350i | 0.138981 | + | 0.154354i | ||||
\(531\) | −1.71017 | − | 11.2421i | −0.0742152 | − | 0.487867i | ||||
\(532\) | 2.14712 | + | 3.71893i | 0.0930896 | + | 0.161236i | ||||
\(533\) | −1.77428 | + | 3.07314i | −0.0768526 | + | 0.133113i | ||||
\(534\) | 22.4931 | + | 3.03126i | 0.973369 | + | 0.131176i | ||||
\(535\) | 3.75077 | + | 2.72509i | 0.162160 | + | 0.117816i | ||||
\(536\) | −12.1338 | − | 1.27532i | −0.524102 | − | 0.0550853i | ||||
\(537\) | −6.98750 | + | 4.77098i | −0.301533 | + | 0.205883i | ||||
\(538\) | 1.90112 | − | 4.26999i | 0.0819632 | − | 0.184092i | ||||
\(539\) | 3.13241 | + | 0.665814i | 0.134922 | + | 0.0286787i | ||||
\(540\) | −2.52117 | + | 4.54353i | −0.108494 | + | 0.195523i | ||||
\(541\) | 0.527913 | − | 0.235042i | 0.0226967 | − | 0.0101052i | −0.395357 | − | 0.918528i | \(-0.629379\pi\) |
0.418054 | + | 0.908422i | \(0.362712\pi\) | |||||||
\(542\) | −6.34053 | + | 19.5142i | −0.272349 | + | 0.838205i | ||||
\(543\) | 18.5600 | + | 11.4518i | 0.796486 | + | 0.491444i | ||||
\(544\) | −2.22680 | − | 5.00147i | −0.0954732 | − | 0.214436i | ||||
\(545\) | −0.209461 | − | 0.985435i | −0.00897231 | − | 0.0422114i | ||||
\(546\) | 3.93229 | + | 1.89039i | 0.168287 | + | 0.0809011i | ||||
\(547\) | −16.0945 | − | 7.16573i | −0.688151 | − | 0.306384i | 0.0327096 | − | 0.999465i | \(-0.489586\pi\) |
−0.720860 | + | 0.693081i | \(0.756253\pi\) | |||||||
\(548\) | −3.17953 | + | 3.53122i | −0.135823 | + | 0.150846i | ||||
\(549\) | 14.1917 | + | 9.34008i | 0.605687 | + | 0.398625i | ||||
\(550\) | −0.334462 | + | 0.460347i | −0.0142615 | + | 0.0196293i | ||||
\(551\) | 3.95683 | + | 37.6468i | 0.168567 | + | 1.60381i | ||||
\(552\) | 8.54804 | + | 8.16160i | 0.363829 | + | 0.347381i | ||||
\(553\) | −0.863484 | + | 0.498533i | −0.0367191 | + | 0.0211998i | ||||
\(554\) | −24.6437 | + | 17.9047i | −1.04701 | + | 0.760699i | ||||
\(555\) | −1.26845 | − | 2.35332i | −0.0538426 | − | 0.0998929i | ||||
\(556\) | 4.27398 | − | 1.38870i | 0.181257 | − | 0.0588940i | ||||
\(557\) | 18.8652 | 0.799343 | 0.399672 | − | 0.916658i | \(-0.369124\pi\) | ||||
0.399672 | + | 0.916658i | \(0.369124\pi\) | |||||||
\(558\) | 13.9133 | − | 9.24234i | 0.588996 | − | 0.391260i | ||||
\(559\) | −11.1554 | −0.471824 | ||||||||
\(560\) | 1.11404 | − | 0.361972i | 0.0470766 | − | 0.0152961i | ||||
\(561\) | −2.56014 | − | 4.74978i | −0.108089 | − | 0.200536i | ||||
\(562\) | −5.18782 | + | 3.76917i | −0.218835 | + | 0.158993i | ||||
\(563\) | 9.19574 | − | 5.30916i | 0.387554 | − | 0.223755i | −0.293546 | − | 0.955945i | \(-0.594835\pi\) |
0.681100 | + | 0.732191i | \(0.261502\pi\) | |||||||
\(564\) | 0.537783 | + | 0.513471i | 0.0226448 | + | 0.0216210i | ||||
\(565\) | −1.78296 | − | 16.9638i | −0.0750099 | − | 0.713671i | ||||
\(566\) | −9.14610 | + | 12.5885i | −0.384439 | + | 0.529135i | ||||
\(567\) | 9.19368 | − | 5.15909i | 0.386098 | − | 0.216662i | ||||
\(568\) | 6.81287 | − | 7.56646i | 0.285862 | − | 0.317481i | ||||
\(569\) | −26.4747 | − | 11.7873i | −1.10988 | − | 0.494149i | −0.231846 | − | 0.972753i | \(-0.574476\pi\) |
−0.878031 | + | 0.478604i | \(0.841143\pi\) | |||||||
\(570\) | −5.72278 | − | 2.75114i | −0.239701 | − | 0.115232i | ||||
\(571\) | −5.05028 | − | 23.7597i | −0.211348 | − | 0.994312i | −0.948056 | − | 0.318102i | \(-0.896954\pi\) |
0.736709 | − | 0.676210i | \(-0.236379\pi\) | |||||||
\(572\) | 0.497716 | + | 1.11789i | 0.0208105 | + | 0.0467412i | ||||
\(573\) | 26.9554 | + | 16.6319i | 1.12608 | + | 0.694807i | ||||
\(574\) | 0.597293 | − | 1.83828i | 0.0249305 | − | 0.0767283i | ||||
\(575\) | −6.23358 | + | 2.77537i | −0.259958 | + | 0.115741i | ||||
\(576\) | 2.89298 | + | 0.794163i | 0.120541 | + | 0.0330901i | ||||
\(577\) | 31.4854 | + | 6.69244i | 1.31076 | + | 0.278610i | 0.809720 | − | 0.586816i | \(-0.199619\pi\) |
0.501036 | + | 0.865426i | \(0.332952\pi\) | |||||||
\(578\) | −5.27674 | + | 11.8518i | −0.219484 | + | 0.492968i | ||||
\(579\) | 22.6396 | − | 15.4580i | 0.940868 | − | 0.642414i | ||||
\(580\) | 10.2691 | + | 1.07933i | 0.426402 | + | 0.0448167i | ||||
\(581\) | −3.16243 | − | 2.29764i | −0.131200 | − | 0.0953221i | ||||
\(582\) | −1.42776 | − | 0.192411i | −0.0591825 | − | 0.00797569i | ||||
\(583\) | 1.36044 | − | 2.35636i | 0.0563439 | − | 0.0975904i | ||||
\(584\) | 1.25786 | + | 2.17867i | 0.0520505 | + | 0.0901541i | ||||
\(585\) | −6.37813 | + | 0.970253i | −0.263703 | + | 0.0401150i | ||||
\(586\) | −20.2177 | − | 22.4540i | −0.835186 | − | 0.927568i | ||||
\(587\) | −9.02095 | − | 27.7636i | −0.372335 | − | 1.14593i | −0.945259 | − | 0.326320i | \(-0.894191\pi\) |
0.572925 | − | 0.819608i | \(-0.305809\pi\) | |||||||
\(588\) | 9.47148 | + | 2.30455i | 0.390597 | + | 0.0950381i | ||||
\(589\) | 12.2685 | + | 16.3130i | 0.505516 | + | 0.672164i | ||||
\(590\) | − | 3.79049i | − | 0.156052i | ||||||
\(591\) | 2.36870 | + | 31.3212i | 0.0974351 | + | 1.28838i | ||||
\(592\) | −1.14704 | + | 1.03280i | −0.0471429 | + | 0.0424476i | ||||
\(593\) | −19.6006 | − | 26.9779i | −0.804900 | − | 1.10785i | −0.992090 | − | 0.125526i | \(-0.959938\pi\) |
0.187191 | − | 0.982324i | \(-0.440062\pi\) | |||||||
\(594\) | 2.90214 | + | 0.565463i | 0.119076 | + | 0.0232012i | ||||
\(595\) | −5.55381 | − | 3.20649i | −0.227684 | − | 0.131453i | ||||
\(596\) | 17.7808 | − | 1.86883i | 0.728329 | − | 0.0765504i | ||||
\(597\) | 26.7719 | − | 22.7242i | 1.09570 | − | 0.930039i | ||||
\(598\) | −1.53385 | + | 14.5936i | −0.0627237 | + | 0.596776i | ||||
\(599\) | −17.3303 | − | 15.6043i | −0.708097 | − | 0.637574i | 0.234263 | − | 0.972173i | \(-0.424732\pi\) |
−0.942360 | + | 0.334599i | \(0.891399\pi\) | |||||||
\(600\) | −1.05860 | + | 1.37090i | −0.0432173 | + | 0.0559667i | ||||
\(601\) | −4.22756 | + | 19.8891i | −0.172446 | + | 0.811293i | 0.803846 | + | 0.594837i | \(0.202783\pi\) |
−0.976292 | + | 0.216457i | \(0.930550\pi\) | |||||||
\(602\) | 5.94351 | − | 1.26333i | 0.242239 | − | 0.0514895i | ||||
\(603\) | −36.5394 | − | 2.13909i | −1.48800 | − | 0.0871103i | ||||
\(604\) | 0.703258 | + | 0.228502i | 0.0286152 | + | 0.00929763i | ||||
\(605\) | −10.1537 | − | 3.29913i | −0.412806 | − | 0.134129i | ||||
\(606\) | −27.1078 | + | 4.93844i | −1.10118 | + | 0.200611i | ||||
\(607\) | 14.7869 | − | 3.14305i | 0.600181 | − | 0.127572i | 0.102205 | − | 0.994763i | \(-0.467410\pi\) |
0.497976 | + | 0.867191i | \(0.334077\pi\) | |||||||
\(608\) | −0.762207 | + | 3.58590i | −0.0309116 | + | 0.145428i | ||||
\(609\) | −16.5812 | − | 12.8040i | −0.671905 | − | 0.518843i | ||||
\(610\) | 4.20854 | + | 3.78939i | 0.170399 | + | 0.153428i | ||||
\(611\) | −0.0964990 | + | 0.918127i | −0.00390393 | + | 0.0371434i | ||||
\(612\) | −7.36688 | − | 14.6796i | −0.297789 | − | 0.593386i | ||||
\(613\) | −5.40291 | + | 0.567868i | −0.218221 | + | 0.0229360i | −0.213008 | − | 0.977050i | \(-0.568326\pi\) |
−0.00521317 | + | 0.999986i | \(0.501659\pi\) | |||||||
\(614\) | 17.7204 | + | 10.2309i | 0.715138 | + | 0.412885i | ||||
\(615\) | 0.803353 | + | 2.74284i | 0.0323943 | + | 0.110602i | ||||
\(616\) | −0.391777 | − | 0.539235i | −0.0157852 | − | 0.0217264i | ||||
\(617\) | −6.79995 | + | 6.12270i | −0.273756 | + | 0.246491i | −0.794560 | − | 0.607185i | \(-0.792299\pi\) |
0.520805 | + | 0.853676i | \(0.325632\pi\) | |||||||
\(618\) | 7.45163 | − | 0.563536i | 0.299749 | − | 0.0226688i | ||||
\(619\) | − | 26.6125i | − | 1.06965i | −0.844963 | − | 0.534824i | \(-0.820378\pi\) | ||
0.844963 | − | 0.534824i | \(-0.179622\pi\) | |||||||
\(620\) | 5.04833 | − | 2.34826i | 0.202746 | − | 0.0943085i | ||||
\(621\) | 26.7486 | + | 23.2731i | 1.07338 | + | 0.933919i | ||||
\(622\) | −10.1505 | − | 31.2400i | −0.406997 | − | 1.25261i | ||||
\(623\) | −10.2707 | − | 11.4068i | −0.411487 | − | 0.457002i | ||||
\(624\) | 1.41488 | + | 3.44559i | 0.0566407 | + | 0.137934i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −8.91708 | + | 15.4448i | −0.356398 | + | 0.617300i | ||||
\(627\) | −0.482558 | + | 3.58075i | −0.0192715 | + | 0.143002i | ||||
\(628\) | 11.7615 | + | 8.54521i | 0.469334 | + | 0.340991i | ||||
\(629\) | 8.40399 | + | 0.883295i | 0.335089 | + | 0.0352193i | ||||
\(630\) | 3.28833 | − | 1.23925i | 0.131010 | − | 0.0493731i | ||||
\(631\) | −4.89230 | + | 10.9883i | −0.194759 | + | 0.437437i | −0.984356 | − | 0.176189i | \(-0.943623\pi\) |
0.789597 | + | 0.613626i | \(0.210290\pi\) | |||||||
\(632\) | −0.832598 | − | 0.176974i | −0.0331190 | − | 0.00703966i | ||||
\(633\) | −30.2544 | − | 0.884817i | −1.20251 | − | 0.0351683i | ||||
\(634\) | −25.2003 | + | 11.2199i | −1.00083 | + | 0.445598i | ||||
\(635\) | −4.67642 | + | 14.3926i | −0.185578 | + | 0.571151i | ||||
\(636\) | 4.34899 | − | 7.04844i | 0.172449 | − | 0.279489i | ||||
\(637\) | 4.92266 | + | 11.0565i | 0.195043 | + | 0.438073i | ||||
\(638\) | −1.22159 | − | 5.74713i | −0.0483632 | − | 0.227531i | ||||
\(639\) | 19.3674 | − | 23.6199i | 0.766163 | − | 0.934390i | ||||
\(640\) | 0.913545 | + | 0.406737i | 0.0361111 | + | 0.0160777i | ||||
\(641\) | −18.2043 | + | 20.2180i | −0.719028 | + | 0.798562i | −0.986283 | − | 0.165064i | \(-0.947217\pi\) |
0.267255 | + | 0.963626i | \(0.413884\pi\) | |||||||
\(642\) | 2.70365 | − | 7.56132i | 0.106705 | − | 0.298421i | ||||
\(643\) | −23.1182 | + | 31.8194i | −0.911692 | + | 1.25484i | 0.0548934 | + | 0.998492i | \(0.482518\pi\) |
−0.966586 | + | 0.256344i | \(0.917482\pi\) | |||||||
\(644\) | −0.835478 | − | 7.94904i | −0.0329224 | − | 0.313236i | ||||
\(645\) | −6.20459 | + | 6.49837i | −0.244306 | + | 0.255873i | ||||
\(646\) | 17.3817 | − | 10.0353i | 0.683874 | − | 0.394835i | ||||
\(647\) | −0.346380 | + | 0.251660i | −0.0136176 | + | 0.00989376i | −0.594573 | − | 0.804041i | \(-0.702679\pi\) |
0.580956 | + | 0.813935i | \(0.302679\pi\) | |||||||
\(648\) | 8.77978 | + | 1.97873i | 0.344903 | + | 0.0777319i | ||||
\(649\) | −2.05130 | + | 0.666508i | −0.0805206 | + | 0.0261627i | ||||
\(650\) | −2.15050 | −0.0843497 | ||||||||
\(651\) | −11.2184 | − | 1.32370i | −0.439685 | − | 0.0518799i | ||||
\(652\) | −1.84112 | −0.0721040 | ||||||||
\(653\) | 13.1871 | − | 4.28474i | 0.516050 | − | 0.167675i | −0.0394022 | − | 0.999223i | \(-0.512545\pi\) |
0.555452 | + | 0.831549i | \(0.312545\pi\) | |||||||
\(654\) | −1.53603 | + | 0.827928i | −0.0600637 | + | 0.0323745i | ||||
\(655\) | 10.1396 | − | 7.36688i | 0.396188 | − | 0.287848i | ||||
\(656\) | 1.42904 | − | 0.825054i | 0.0557944 | − | 0.0322129i | ||||
\(657\) | 4.07168 | + | 6.35458i | 0.158851 | + | 0.247916i | ||||
\(658\) | −0.0525625 | − | 0.500098i | −0.00204910 | − | 0.0194959i | ||||
\(659\) | −18.8321 | + | 25.9202i | −0.733595 | + | 1.00971i | 0.265366 | + | 0.964148i | \(0.414507\pi\) |
−0.998962 | + | 0.0455599i | \(0.985493\pi\) | |||||||
\(660\) | 0.928031 | + | 0.331830i | 0.0361236 | + | 0.0129165i | ||||
\(661\) | −0.371837 | + | 0.412966i | −0.0144628 | + | 0.0160625i | −0.750333 | − | 0.661060i | \(-0.770107\pi\) |
0.735870 | + | 0.677123i | \(0.236773\pi\) | |||||||
\(662\) | −3.52453 | − | 1.56922i | −0.136985 | − | 0.0609896i | ||||
\(663\) | 8.83539 | − | 18.3790i | 0.343138 | − | 0.713779i | ||||
\(664\) | −0.693824 | − | 3.26418i | −0.0269256 | − | 0.126675i | ||||
\(665\) | 1.74663 | + | 3.92299i | 0.0677313 | + | 0.152127i | ||||
\(666\) | −3.29420 | + | 3.25415i | −0.127648 | + | 0.126096i | ||||
\(667\) | 21.7725 | − | 67.0089i | 0.843036 | − | 2.59460i | ||||
\(668\) | 7.54291 | − | 3.35832i | 0.291844 | − | 0.129937i | ||||
\(669\) | −0.693054 | + | 23.6975i | −0.0267950 | + | 0.916198i | ||||
\(670\) | −11.9340 | − | 2.53666i | −0.461053 | − | 0.0979997i | ||||
\(671\) | 1.31069 | − | 2.94385i | 0.0505986 | − | 0.113646i | ||||
\(672\) | −1.14404 | − | 1.67555i | −0.0441325 | − | 0.0646356i | ||||
\(673\) | −15.2554 | − | 1.60341i | −0.588053 | − | 0.0618068i | −0.194170 | − | 0.980968i | \(-0.562202\pi\) |
−0.393882 | + | 0.919161i | \(0.628868\pi\) | |||||||
\(674\) | −8.33426 | − | 6.05519i | −0.321024 | − | 0.233237i | ||||
\(675\) | −2.98229 | + | 4.25511i | −0.114788 | + | 0.163779i | ||||
\(676\) | 4.18767 | − | 7.25325i | 0.161064 | − | 0.278971i | ||||
\(677\) | −0.114376 | − | 0.198105i | −0.00439582 | − | 0.00761378i | 0.863819 | − | 0.503802i | \(-0.168066\pi\) |
−0.868215 | + | 0.496188i | \(0.834733\pi\) | |||||||
\(678\) | −27.3295 | + | 11.2225i | −1.04958 | + | 0.430997i | ||||
\(679\) | 0.651938 | + | 0.724050i | 0.0250191 | + | 0.0277865i | ||||
\(680\) | −1.69180 | − | 5.20684i | −0.0648777 | − | 0.199673i | ||||
\(681\) | 7.07840 | − | 29.0915i | 0.271245 | − | 1.11479i | ||||
\(682\) | −2.15849 | − | 2.31910i | −0.0826530 | − | 0.0888029i | ||||
\(683\) | 11.8167i | 0.452154i | 0.974109 | + | 0.226077i | \(0.0725900\pi\) | ||||
−0.974109 | + | 0.226077i | \(0.927410\pi\) | |||||||
\(684\) | −1.78687 | + | 10.8519i | −0.0683226 | + | 0.414933i | ||||
\(685\) | −3.53122 | + | 3.17953i | −0.134921 | + | 0.121484i | ||||
\(686\) | −8.69446 | − | 11.9669i | −0.331956 | − | 0.456898i | ||||
\(687\) | 29.9083 | − | 8.75985i | 1.14107 | − | 0.334209i | ||||
\(688\) | 4.49238 | + | 2.59367i | 0.171270 | + | 0.0988829i | ||||
\(689\) | 10.2267 | − | 1.07487i | 0.389608 | − | 0.0409494i | ||||
\(690\) | 7.64809 | + | 9.01040i | 0.291158 | + | 0.343020i | ||||
\(691\) | 2.30335 | − | 21.9149i | 0.0876236 | − | 0.833683i | −0.859137 | − | 0.511745i | \(-0.828999\pi\) |
0.946761 | − | 0.321938i | \(-0.104334\pi\) | |||||||
\(692\) | −9.39701 | − | 8.46111i | −0.357221 | − | 0.321643i | ||||
\(693\) | −1.24886 | − | 1.56164i | −0.0474402 | − | 0.0593219i | ||||
\(694\) | 5.98415 | − | 28.1532i | 0.227155 | − | 1.06868i | ||||
\(695\) | 4.39573 | − | 0.934341i | 0.166739 | − | 0.0354416i | ||||
\(696\) | −3.20543 | − | 17.5950i | −0.121501 | − | 0.666937i | ||||
\(697\) | −8.59184 | − | 2.79166i | −0.325439 | − | 0.105742i | ||||
\(698\) | 14.7136 | + | 4.78073i | 0.556917 | + | 0.180953i | ||||
\(699\) | 8.14171 | + | 44.6909i | 0.307948 | + | 1.69037i | ||||
\(700\) | 1.14577 | − | 0.243541i | 0.0433060 | − | 0.00920498i | ||||
\(701\) | 8.94605 | − | 42.0878i | 0.337888 | − | 1.58964i | −0.401176 | − | 0.916001i | \(-0.631399\pi\) |
0.739064 | − | 0.673635i | \(-0.235268\pi\) | |||||||
\(702\) | 4.71796 | + | 10.1295i | 0.178068 | + | 0.382313i | ||||
\(703\) | −4.20505 | − | 3.78624i | −0.158597 | − | 0.142801i | ||||
\(704\) | 0.0594788 | − | 0.565903i | 0.00224169 | − | 0.0213283i | ||||
\(705\) | 0.481165 | + | 0.566872i | 0.0181217 | + | 0.0213496i | ||||
\(706\) | 7.60882 | − | 0.799720i | 0.286362 | − | 0.0300978i | ||||
\(707\) | 16.1379 | + | 9.31721i | 0.606927 | + | 0.350410i | ||||
\(708\) | −6.30063 | + | 1.84540i | −0.236792 | + | 0.0693542i | ||||
\(709\) | −22.8863 | − | 31.5003i | −0.859512 | − | 1.18302i | −0.981686 | − | 0.190508i | \(-0.938986\pi\) |
0.122173 | − | 0.992509i | \(-0.461014\pi\) | |||||||
\(710\) | 7.56646 | − | 6.81287i | 0.283964 | − | 0.255682i | ||||
\(711\) | −2.51967 | − | 0.414886i | −0.0944949 | − | 0.0155595i | ||||
\(712\) | − | 13.1038i | − | 0.491084i | ||||||
\(713\) | −8.51123 | − | 37.0260i | −0.318748 | − | 1.38664i | ||||
\(714\) | −2.62604 | + | 10.7927i | −0.0982769 | + | 0.403908i | ||||
\(715\) | 0.378138 | + | 1.16379i | 0.0141416 | + | 0.0435232i | ||||
\(716\) | 3.26865 | + | 3.63021i | 0.122155 | + | 0.135667i | ||||
\(717\) | 23.6820 | − | 9.72470i | 0.884422 | − | 0.363175i | ||||
\(718\) | −2.64071 | − | 4.57385i | −0.0985505 | − | 0.170694i | ||||
\(719\) | −20.4449 | + | 35.4115i | −0.762464 | + | 1.32063i | 0.179113 | + | 0.983829i | \(0.442677\pi\) |
−0.941577 | + | 0.336798i | \(0.890656\pi\) | |||||||
\(720\) | 2.79411 | + | 1.09221i | 0.104130 | + | 0.0407043i | ||||
\(721\) | −4.08865 | − | 2.97058i | −0.152269 | − | 0.110630i | ||||
\(722\) | 5.52987 | + | 0.581213i | 0.205801 | + | 0.0216305i | ||||
\(723\) | −2.95639 | − | 4.32988i | −0.109949 | − | 0.161030i | ||||
\(724\) | 5.12132 | − | 11.5027i | 0.190332 | − | 0.427493i | ||||
\(725\) | 10.1000 | + | 2.14683i | 0.375106 | + | 0.0797313i | ||||
\(726\) | −0.540576 | + | 18.4838i | −0.0200627 | + | 0.686000i | ||||
\(727\) | 4.72429 | − | 2.10339i | 0.175214 | − | 0.0780104i | −0.317255 | − | 0.948340i | \(-0.602761\pi\) |
0.492469 | + | 0.870330i | \(0.336094\pi\) | |||||||
\(728\) | 0.778422 | − | 2.39574i | 0.0288502 | − | 0.0887919i | ||||
\(729\) | 26.5856 | + | 4.71223i | 0.984652 | + | 0.174527i | ||||
\(730\) | 1.02323 | + | 2.29822i | 0.0378715 | + | 0.0850609i | ||||
\(731\) | −5.90462 | − | 27.7791i | −0.218390 | − | 1.02745i | ||||
\(732\) | 4.24988 | − | 8.84039i | 0.157080 | − | 0.326750i | ||||
\(733\) | 24.7784 | + | 11.0320i | 0.915209 | + | 0.407477i | 0.809635 | − | 0.586934i | \(-0.199665\pi\) |
0.105575 | + | 0.994411i | \(0.466332\pi\) | |||||||
\(734\) | 3.32443 | − | 3.69215i | 0.122707 | − | 0.136280i | ||||
\(735\) | 9.17870 | + | 3.28197i | 0.338561 | + | 0.121057i | ||||
\(736\) | 4.01076 | − | 5.52033i | 0.147838 | − | 0.203482i | ||||
\(737\) | 0.725681 | + | 6.90440i | 0.0267308 | + | 0.254327i | ||||
\(738\) | 4.16810 | − | 2.67070i | 0.153430 | − | 0.0983098i | ||||
\(739\) | 12.4505 | − | 7.18833i | 0.458001 | − | 0.264427i | −0.253203 | − | 0.967413i | \(-0.581484\pi\) |
0.711203 | + | 0.702986i | \(0.248151\pi\) | |||||||
\(740\) | −1.24871 | + | 0.907240i | −0.0459034 | + | 0.0333508i | ||||
\(741\) | −12.0202 | + | 6.47893i | −0.441573 | + | 0.238009i | ||||
\(742\) | −5.32699 | + | 1.73084i | −0.195560 | + | 0.0635413i | ||||
\(743\) | 35.0045 | 1.28419 | 0.642096 | − | 0.766624i | \(-0.278065\pi\) | ||||
0.642096 | + | 0.766624i | \(0.278065\pi\) | |||||||
\(744\) | −6.36111 | − | 7.24820i | −0.233209 | − | 0.265732i | ||||
\(745\) | 17.8787 | 0.655025 | ||||||||
\(746\) | 31.5715 | − | 10.2582i | 1.15592 | − | 0.375580i | ||||
\(747\) | −2.53194 | − | 9.68586i | −0.0926388 | − | 0.354387i | ||||
\(748\) | −2.52031 | + | 1.83111i | −0.0921515 | + | 0.0669520i | ||||
\(749\) | −4.70312 | + | 2.71535i | −0.171848 | + | 0.0992167i | ||||
\(750\) | −1.19610 | + | 1.25273i | −0.0436754 | + | 0.0457434i | ||||
\(751\) | 2.35946 | + | 22.4487i | 0.0860978 | + | 0.819166i | 0.949314 | + | 0.314331i | \(0.101780\pi\) |
−0.863216 | + | 0.504835i | \(0.831553\pi\) | |||||||
\(752\) | 0.252329 | − | 0.347301i | 0.00920149 | − | 0.0126648i | ||||
\(753\) | −7.41713 | + | 20.7435i | −0.270295 | + | 0.755937i | ||||
\(754\) | 14.8583 | − | 16.5018i | 0.541108 | − | 0.600962i | ||||
\(755\) | 0.675520 | + | 0.300761i | 0.0245847 | + | 0.0109458i | ||||
\(756\) | −3.66084 | − | 4.86261i | −0.133143 | − | 0.176851i | ||||
\(757\) | −2.59886 | − | 12.2267i | −0.0944572 | − | 0.444386i | −0.999806 | − | 0.0197166i | \(-0.993724\pi\) |
0.905348 | − | 0.424670i | \(-0.139610\pi\) | |||||||
\(758\) | −8.08336 | − | 18.1555i | −0.293601 | − | 0.659438i | ||||
\(759\) | 3.53135 | − | 5.72328i | 0.128180 | − | 0.207742i | ||||
\(760\) | −1.13286 | + | 3.48659i | −0.0410932 | + | 0.126472i | ||||
\(761\) | 8.95391 | − | 3.98654i | 0.324579 | − | 0.144512i | −0.237978 | − | 0.971271i | \(-0.576484\pi\) |
0.562557 | + | 0.826759i | \(0.309818\pi\) | |||||||
\(762\) | 26.2003 | + | 0.766251i | 0.949137 | + | 0.0277584i | ||||
\(763\) | 1.15431 | + | 0.245355i | 0.0417887 | + | 0.00888245i | ||||
\(764\) | 7.43789 | − | 16.7058i | 0.269093 | − | 0.604394i | ||||
\(765\) | −5.79209 | − | 15.3692i | −0.209414 | − | 0.555674i | ||||
\(766\) | −16.5719 | − | 1.74177i | −0.598766 | − | 0.0629328i | ||||
\(767\) | −6.59467 | − | 4.79131i | −0.238120 | − | 0.173004i | ||||
\(768\) | 0.231328 | − | 1.71653i | 0.00834731 | − | 0.0619401i | ||||
\(769\) | −10.5137 | + | 18.2102i | −0.379133 | + | 0.656678i | −0.990936 | − | 0.134332i | \(-0.957111\pi\) |
0.611803 | + | 0.791010i | \(0.290444\pi\) | |||||||
\(770\) | −0.333266 | − | 0.577233i | −0.0120101 | − | 0.0208020i | ||||
\(771\) | −6.05787 | − | 14.7524i | −0.218169 | − | 0.531295i | ||||
\(772\) | −10.5905 | − | 11.7619i | −0.381159 | − | 0.423320i | ||||
\(773\) | −11.0955 | − | 34.1484i | −0.399077 | − | 1.22823i | −0.925741 | − | 0.378159i | \(-0.876557\pi\) |
0.526664 | − | 0.850074i | \(-0.323443\pi\) | |||||||
\(774\) | 13.8224 | + | 7.14968i | 0.496837 | + | 0.256990i | ||||
\(775\) | 5.26614 | − | 1.80770i | 0.189165 | − | 0.0649346i | ||||
\(776\) | 0.831769i | 0.0298587i | ||||||||
\(777\) | 3.12262 | − | 0.236151i | 0.112023 | − | 0.00847185i | ||||
\(778\) | 15.4337 | − | 13.8966i | 0.553325 | − | 0.498216i | ||||
\(779\) | 3.55570 | + | 4.89400i | 0.127396 | + | 0.175346i | ||||
\(780\) | 1.04697 | + | 3.57461i | 0.0374875 | + | 0.127992i | ||||
\(781\) | −5.01739 | − | 2.89679i | −0.179536 | − | 0.103655i | ||||
\(782\) | −37.1526 | + | 3.90490i | −1.32858 | + | 0.139639i | ||||
\(783\) | −12.0462 | − | 52.2841i | −0.430495 | − | 1.86848i | ||||
\(784\) | 0.588276 | − | 5.59707i | 0.0210099 | − | 0.199895i | ||||
\(785\) | 10.8038 | + | 9.72780i | 0.385605 | + | 0.347200i | ||||
\(786\) | −17.1819 | − | 13.2678i | −0.612856 | − | 0.473245i | ||||
\(787\) | −8.94421 | + | 42.0792i | −0.318827 | + | 1.49996i | 0.468521 | + | 0.883452i | \(0.344787\pi\) |
−0.787348 | + | 0.616509i | \(0.788546\pi\) | |||||||
\(788\) | 17.7387 | − | 3.77047i | 0.631914 | − | 0.134317i | ||||
\(789\) | 46.8264 | − | 8.53075i | 1.66706 | − | 0.303703i | ||||
\(790\) | −0.809538 | − | 0.263035i | −0.0288021 | − | 0.00935836i | ||||
\(791\) | 19.0023 | + | 6.17424i | 0.675646 | + | 0.219531i | ||||
\(792\) | 0.0997637 | − | 1.70414i | 0.00354495 | − | 0.0605541i | ||||
\(793\) | 11.9125 | − | 2.53208i | 0.423025 | − | 0.0899167i | ||||
\(794\) | −0.984706 | + | 4.63268i | −0.0349459 | + | 0.164408i | ||||
\(795\) | 5.06193 | − | 6.55523i | 0.179528 | − | 0.232490i | ||||
\(796\) | −15.0666 | − | 13.5661i | −0.534023 | − | 0.480836i | ||||
\(797\) | 1.13001 | − | 10.7514i | 0.0400272 | − | 0.380833i | −0.956109 | − | 0.293011i | \(-0.905343\pi\) |
0.996136 | − | 0.0878219i | \(-0.0279906\pi\) | |||||||
\(798\) | 5.67053 | − | 4.81318i | 0.200735 | − | 0.170385i | ||||
\(799\) | −2.33739 | + | 0.245669i | −0.0826908 | + | 0.00869115i | ||||
\(800\) | 0.866025 | + | 0.500000i | 0.0306186 | + | 0.0176777i | ||||
\(801\) | −1.81729 | − | 39.2693i | −0.0642108 | − | 1.38751i | ||||
\(802\) | 10.2382 | + | 14.0916i | 0.361522 | + | 0.497592i | ||||
\(803\) | 1.06381 | − | 0.957855i | 0.0375409 | − | 0.0338020i | ||||
\(804\) | 1.59359 | + | 21.0720i | 0.0562015 | + | 0.743152i | ||||
\(805\) | − | 7.99282i | − | 0.281710i | ||||||
\(806\) | 2.29577 | − | 11.7513i | 0.0808651 | − | 0.413923i | ||||
\(807\) | −7.86625 | − | 1.91398i | −0.276905 | − | 0.0673752i | ||||
\(808\) | 4.91593 | + | 15.1297i | 0.172942 | + | 0.532260i | ||||
\(809\) | 5.67230 | + | 6.29973i | 0.199428 | + | 0.221487i | 0.834561 | − | 0.550916i | \(-0.185721\pi\) |
−0.635133 | + | 0.772403i | \(0.719055\pi\) | |||||||
\(810\) | 8.52485 | + | 2.88563i | 0.299533 | + | 0.101391i | ||||
\(811\) | −15.9404 | − | 27.6097i | −0.559745 | − | 0.969506i | −0.997517 | − | 0.0704205i | \(-0.977566\pi\) |
0.437773 | − | 0.899086i | \(-0.355767\pi\) | |||||||
\(812\) | −6.04758 | + | 10.4747i | −0.212228 | + | 0.367591i | ||||
\(813\) | 35.2205 | + | 4.74647i | 1.23524 | + | 0.166466i | ||||
\(814\) | 0.710541 | + | 0.516238i | 0.0249044 | + | 0.0180941i | ||||
\(815\) | −1.83104 | − | 0.192450i | −0.0641385 | − | 0.00674122i | ||||
\(816\) | −7.83126 | + | 5.34710i | −0.274149 | + | 0.187186i | ||||
\(817\) | −7.73487 | + | 17.3728i | −0.270609 | + | 0.607798i | ||||
\(818\) | 25.6947 | + | 5.46157i | 0.898393 | + | 0.190959i | ||||
\(819\) | 2.00052 | − | 7.28748i | 0.0699038 | − | 0.254645i | ||||
\(820\) | 1.50745 | − | 0.671159i | 0.0526424 | − | 0.0234379i | ||||
\(821\) | 16.4500 | − | 50.6278i | 0.574108 | − | 1.76692i | −0.0650903 | − | 0.997879i | \(-0.520734\pi\) |
0.639198 | − | 0.769042i | \(-0.279266\pi\) | |||||||
\(822\) | 7.00425 | + | 4.32173i | 0.244301 | + | 0.150737i | ||||
\(823\) | 17.3842 | + | 39.0455i | 0.605975 | + | 1.36104i | 0.912460 | + | 0.409166i | \(0.134180\pi\) |
−0.306485 | + | 0.951876i | \(0.599153\pi\) | |||||||
\(824\) | −0.897032 | − | 4.22021i | −0.0312496 | − | 0.147018i | ||||
\(825\) | 0.888262 | + | 0.427018i | 0.0309253 | + | 0.0148669i | ||||
\(826\) | 4.05619 | + | 1.80593i | 0.141133 | + | 0.0628364i | ||||
\(827\) | −15.9257 | + | 17.6873i | −0.553791 | + | 0.615048i | −0.953426 | − | 0.301627i | \(-0.902470\pi\) |
0.399635 | + | 0.916674i | \(0.369137\pi\) | |||||||
\(828\) | 11.2538 | − | 17.0995i | 0.391097 | − | 0.594249i | ||||
\(829\) | −29.4461 | + | 40.5290i | −1.02270 | + | 1.40763i | −0.112414 | + | 0.993661i | \(0.535858\pi\) |
−0.910290 | + | 0.413971i | \(0.864142\pi\) | |||||||
\(830\) | −0.348823 | − | 3.31883i | −0.0121078 | − | 0.115198i | ||||
\(831\) | 38.1599 | + | 36.4348i | 1.32375 | + | 1.26391i | ||||
\(832\) | 1.86239 | − | 1.07525i | 0.0645668 | − | 0.0372776i | ||||
\(833\) | −24.9271 | + | 18.1106i | −0.863673 | + | 0.627495i | ||||
\(834\) | −3.69314 | − | 6.85179i | −0.127883 | − | 0.237258i | ||||
\(835\) | 7.85263 | − | 2.55147i | 0.271751 | − | 0.0882974i | ||||
\(836\) | 2.08604 | 0.0721471 | ||||||||
\(837\) | −20.0681 | − | 20.8392i | −0.693656 | − | 0.720306i | ||||
\(838\) | 5.33961 | 0.184454 | ||||||||
\(839\) | 32.9135 | − | 10.6942i | 1.13630 | − | 0.369206i | 0.320332 | − | 0.947305i | \(-0.396205\pi\) |
0.815966 | + | 0.578099i | \(0.196205\pi\) | |||||||
\(840\) | −0.962635 | − | 1.78595i | −0.0332141 | − | 0.0616213i | ||||
\(841\) | −62.7957 | + | 45.6238i | −2.16537 | + | 1.57323i | ||||
\(842\) | −7.18113 | + | 4.14603i | −0.247478 | + | 0.142881i | ||||
\(843\) | 8.03315 | + | 7.66999i | 0.276676 | + | 0.264169i | ||||
\(844\) | 1.82662 | + | 17.3791i | 0.0628749 | + | 0.598215i | ||||
\(845\) | 4.92290 | − | 6.77579i | 0.169353 | − | 0.233094i | ||||
\(846\) | 0.708012 | − | 1.07578i | 0.0243420 | − | 0.0369862i | ||||
\(847\) | 8.36799 | − | 9.29359i | 0.287527 | − | 0.319332i | ||||
\(848\) | −4.36831 | − | 1.94490i | −0.150008 | − | 0.0667880i | ||||
\(849\) | 24.2901 | + | 11.6771i | 0.833636 | + | 0.400757i | ||||
\(850\) | −1.13827 | − | 5.35516i | −0.0390425 | − | 0.183680i | ||||
\(851\) | 4.28375 | + | 9.62147i | 0.146845 | + | 0.329820i | ||||
\(852\) | −15.0082 | − | 9.26028i | −0.514173 | − | 0.317252i | ||||
\(853\) | −3.16720 | + | 9.74763i | −0.108443 | + | 0.333753i | −0.990523 | − | 0.137347i | \(-0.956143\pi\) |
0.882080 | + | 0.471099i | \(0.156143\pi\) | |||||||
\(854\) | −6.06012 | + | 2.69814i | −0.207373 | + | 0.0923284i | ||||
\(855\) | −2.91141 | + | 10.6057i | −0.0995683 | + | 0.362707i | ||||
\(856\) | −4.53490 | − | 0.963922i | −0.155000 | − | 0.0329462i | ||||
\(857\) | 6.42592 | − | 14.4329i | 0.219505 | − | 0.493017i | −0.769906 | − | 0.638158i | \(-0.779697\pi\) |
0.989411 | + | 0.145141i | \(0.0463635\pi\) | |||||||
\(858\) | 1.75038 | − | 1.19514i | 0.0597569 | − | 0.0408013i | ||||
\(859\) | −31.8293 | − | 3.34539i | −1.08600 | − | 0.114143i | −0.455427 | − | 0.890273i | \(-0.650514\pi\) |
−0.630573 | + | 0.776130i | \(0.717180\pi\) | |||||||
\(860\) | 4.19665 | + | 3.04905i | 0.143105 | + | 0.103972i | ||||
\(861\) | −3.31785 | − | 0.447129i | −0.113072 | − | 0.0152381i | ||||
\(862\) | −12.9754 | + | 22.4741i | −0.441945 | + | 0.765472i | ||||
\(863\) | 12.9685 | + | 22.4621i | 0.441453 | + | 0.764620i | 0.997798 | − | 0.0663323i | \(-0.0211297\pi\) |
−0.556344 | + | 0.830952i | \(0.687796\pi\) | |||||||
\(864\) | 0.455184 | − | 5.17618i | 0.0154857 | − | 0.176097i | ||||
\(865\) | −8.46111 | − | 9.39701i | −0.287686 | − | 0.319508i | ||||
\(866\) | 1.71674 | + | 5.28359i | 0.0583372 | + | 0.179544i | ||||
\(867\) | 21.8335 | + | 5.31242i | 0.741505 | + | 0.180419i | ||||
\(868\) | 0.107652 | + | 6.52100i | 0.00365393 | + | 0.221337i | ||||
\(869\) | 0.484350i | 0.0164304i | ||||||||
\(870\) | −1.34869 | − | 17.8337i | −0.0457248 | − | 0.604619i | ||||
\(871\) | −19.4983 | + | 17.5564i | −0.660675 | + | 0.594874i | ||||
\(872\) | 0.592164 | + | 0.815044i | 0.0200532 | + | 0.0276009i | ||||
\(873\) | 0.115353 | + | 2.49264i | 0.00390412 | + | 0.0843630i | ||||
\(874\) | 21.6637 | + | 12.5075i | 0.732785 | + | 0.423074i | ||||
\(875\) | 1.16495 | − | 0.122441i | 0.0393825 | − | 0.00413927i | ||||
\(876\) | 3.32199 | − | 2.81972i | 0.112240 | − | 0.0952696i | ||||
\(877\) | 3.21830 | − | 30.6201i | 0.108674 | − | 1.03397i | −0.795252 | − | 0.606278i | \(-0.792662\pi\) |
0.903927 | − | 0.427687i | \(-0.140672\pi\) | |||||||
\(878\) | −28.4142 | − | 25.5843i | −0.958933 | − | 0.863427i | ||||
\(879\) | −31.9856 | + | 41.4215i | −1.07885 | + | 1.39711i | ||||
\(880\) | 0.118306 | − | 0.556586i | 0.00398809 | − | 0.0187625i | ||||
\(881\) | −0.934730 | + | 0.198683i | −0.0314919 | + | 0.00669380i | −0.223631 | − | 0.974674i | \(-0.571791\pi\) |
0.192139 | + | 0.981368i | \(0.438458\pi\) | |||||||
\(882\) | 0.986714 | − | 16.8548i | 0.0332244 | − | 0.567532i | ||||
\(883\) | −11.5802 | − | 3.76263i | −0.389704 | − | 0.126622i | 0.107610 | − | 0.994193i | \(-0.465680\pi\) |
−0.497314 | + | 0.867571i | \(0.665680\pi\) | |||||||
\(884\) | −11.1973 | − | 3.63823i | −0.376607 | − | 0.122367i | ||||
\(885\) | −6.45901 | + | 1.17669i | −0.217117 | + | 0.0395540i | ||||
\(886\) | −12.9700 | + | 2.75685i | −0.435734 | + | 0.0926182i | ||||
\(887\) | 1.45636 | − | 6.85163i | 0.0488998 | − | 0.230055i | −0.946911 | − | 0.321497i | \(-0.895814\pi\) |
0.995810 | + | 0.0914414i | \(0.0291474\pi\) | |||||||
\(888\) | 2.11597 | + | 1.63394i | 0.0710072 | + | 0.0548315i | ||||
\(889\) | −13.1734 | − | 11.8614i | −0.441822 | − | 0.397818i | ||||
\(890\) | 1.36972 | − | 13.0320i | 0.0459130 | − | 0.436833i | ||||
\(891\) | 0.0626328 | − | 5.12080i | 0.00209828 | − | 0.171553i | ||||
\(892\) | 13.6126 | − | 1.43074i | 0.455784 | − | 0.0479049i | ||||
\(893\) | 1.36293 | + | 0.786888i | 0.0456087 | + | 0.0263322i | ||||
\(894\) | −8.70423 | − | 29.7184i | −0.291113 | − | 0.993931i | ||||
\(895\) | 2.87129 | + | 3.95199i | 0.0959765 | + | 0.132100i | ||||
\(896\) | −0.870495 | + | 0.783797i | −0.0290812 | + | 0.0261848i | ||||
\(897\) | 25.3437 | − | 1.91664i | 0.846201 | − | 0.0639947i | ||||
\(898\) | − | 19.5383i | − | 0.652001i | ||||||
\(899\) | −22.5136 | + | 52.8995i | −0.750870 | + | 1.76430i | ||||
\(900\) | 2.66464 | + | 1.37829i | 0.0888214 | + | 0.0459431i | ||||
\(901\) | 8.08971 | + | 24.8976i | 0.269507 | + | 0.829459i | ||||
\(902\) | −0.628277 | − | 0.697772i | −0.0209193 | − | 0.0232333i | ||||
\(903\) | −3.99778 | − | 9.73558i | −0.133038 | − | 0.323980i | ||||
\(904\) | 8.52861 | + | 14.7720i | 0.283657 | + | 0.491309i | ||||
\(905\) | 6.29562 | − | 10.9043i | 0.209273 | − | 0.362472i | ||||
\(906\) | 0.171055 | − | 1.26929i | 0.00568292 | − | 0.0421693i | ||||
\(907\) | −15.3537 | − | 11.1551i | −0.509812 | − | 0.370400i | 0.302940 | − | 0.953010i | \(-0.402032\pi\) |
−0.812752 | + | 0.582609i | \(0.802032\pi\) | |||||||
\(908\) | −17.1913 | − | 1.80688i | −0.570514 | − | 0.0599635i | ||||
\(909\) | 16.8303 | + | 44.6587i | 0.558224 | + | 1.48124i | ||||
\(910\) | 1.02458 | − | 2.30125i | 0.0339645 | − | 0.0762855i | ||||
\(911\) | 7.27352 | + | 1.54604i | 0.240983 | + | 0.0512224i | 0.326820 | − | 0.945087i | \(-0.394023\pi\) |
−0.0858369 | + | 0.996309i | \(0.527356\pi\) | |||||||
\(912\) | 6.34701 | + | 0.185624i | 0.210171 | + | 0.00614662i | ||||
\(913\) | −1.73472 | + | 0.772345i | −0.0574107 | + | 0.0255609i | ||||
\(914\) | −4.37774 | + | 13.4733i | −0.144803 | + | 0.445657i | ||||
\(915\) | 5.15067 | − | 8.34772i | 0.170276 | − | 0.275967i | ||||
\(916\) | −7.31840 | − | 16.4374i | −0.241807 | − | 0.543106i | ||||
\(917\) | 3.05237 | + | 14.3602i | 0.100798 | + | 0.474217i | ||||
\(918\) | −22.7271 | + | 17.1102i | −0.750106 | + | 0.564721i | ||||
\(919\) | 23.9374 | + | 10.6576i | 0.789622 | + | 0.351562i | 0.761602 | − | 0.648045i | \(-0.224413\pi\) |
0.0280200 | + | 0.999607i | \(0.491080\pi\) | |||||||
\(920\) | 4.56582 | − | 5.07085i | 0.150531 | − | 0.167181i | ||||
\(921\) | 11.9325 | − | 33.3717i | 0.393189 | − | 1.09963i | ||||
\(922\) | −16.9441 | + | 23.3216i | −0.558025 | + | 0.768055i | ||||
\(923\) | −2.28873 | − | 21.7758i | −0.0753343 | − | 0.716758i | ||||
\(924\) | −0.797239 | + | 0.834987i | −0.0262272 | + | 0.0274690i | ||||
\(925\) | −1.33670 | + | 0.771745i | −0.0439504 | + | 0.0253748i | ||||
\(926\) | 25.5587 | − | 18.5695i | 0.839913 | − | 0.610232i | ||||
\(927\) | −3.27350 | − | 12.5227i | −0.107516 | − | 0.411299i | ||||
\(928\) | −9.82031 | + | 3.19081i | −0.322368 | + | 0.104744i | ||||
\(929\) | 40.2266 | 1.31979 | 0.659897 | − | 0.751356i | \(-0.270600\pi\) | ||||
0.659897 | + | 0.751356i | \(0.270600\pi\) | |||||||
\(930\) | −5.56862 | − | 7.87341i | −0.182602 | − | 0.258179i | ||||
\(931\) | 20.6320 | 0.676186 | ||||||||
\(932\) | 24.9434 | − | 8.10459i | 0.817047 | − | 0.265475i | ||||
\(933\) | −50.0820 | + | 26.9944i | −1.63961 | + | 0.883755i | ||||
\(934\) | 2.51257 | − | 1.82549i | 0.0822137 | − | 0.0597317i | ||||
\(935\) | −2.69790 | + | 1.55763i | −0.0882309 | + | 0.0509401i | ||||
\(936\) | 5.43208 | − | 3.48059i | 0.177553 | − | 0.113767i | ||||
\(937\) | −4.68578 | − | 44.5822i | −0.153078 | − | 1.45644i | −0.753865 | − | 0.657029i | \(-0.771813\pi\) |
0.600787 | − | 0.799409i | \(-0.294854\pi\) | |||||||
\(938\) | 8.40030 | − | 11.5620i | 0.274280 | − | 0.377513i | ||||
\(939\) | 29.0862 | + | 10.4002i | 0.949193 | + | 0.339397i | ||||
\(940\) | 0.287250 | − | 0.319023i | 0.00936905 | − | 0.0104054i | ||||
\(941\) | 31.3744 | + | 13.9688i | 1.02278 | + | 0.455369i | 0.848425 | − | 0.529315i | \(-0.177551\pi\) |
0.174350 | + | 0.984684i | \(0.444218\pi\) | |||||||
\(942\) | 10.9099 | − | 22.6943i | 0.355465 | − | 0.739421i | ||||
\(943\) | −2.34099 | − | 11.0135i | −0.0762330 | − | 0.358648i | ||||
\(944\) | 1.54173 | + | 3.46278i | 0.0501791 | + | 0.112704i | ||||
\(945\) | −3.13250 | − | 5.21863i | −0.101900 | − | 0.169762i | ||||
\(946\) | 0.912128 | − | 2.80724i | 0.0296558 | − | 0.0912713i | ||||
\(947\) | −47.4251 | + | 21.1150i | −1.54111 | + | 0.686145i | −0.989039 | − | 0.147654i | \(-0.952828\pi\) |
−0.552068 | + | 0.833799i | \(0.686161\pi\) | |||||||
\(948\) | −0.0430994 | + | 1.47369i | −0.00139980 | + | 0.0478632i | ||||
\(949\) | 5.29183 | + | 1.12481i | 0.171780 | + | 0.0365129i | ||||
\(950\) | −1.49110 | + | 3.34907i | −0.0483778 | + | 0.108658i | ||||
\(951\) | 26.9417 | + | 39.4583i | 0.873644 | + | 1.27952i | ||||
\(952\) | 6.37786 | + | 0.670340i | 0.206708 | + | 0.0217258i | ||||
\(953\) | 39.1769 | + | 28.4637i | 1.26906 | + | 0.922029i | 0.999165 | − | 0.0408592i | \(-0.0130095\pi\) |
0.269900 | + | 0.962888i | \(0.413009\pi\) | |||||||
\(954\) | −13.3606 | − | 5.22263i | −0.432567 | − | 0.169089i | ||||
\(955\) | 9.14337 | − | 15.8368i | 0.295873 | − | 0.512466i | ||||
\(956\) | −7.39036 | − | 12.8005i | −0.239021 | − | 0.413997i | ||||
\(957\) | −9.41392 | + | 3.86569i | −0.304309 | + | 0.124960i | ||||
\(958\) | −13.3072 | − | 14.7792i | −0.429938 | − | 0.477494i | ||||
\(959\) | −1.71999 | − | 5.29360i | −0.0555415 | − | 0.170939i | ||||
\(960\) | 0.409487 | − | 1.68295i | 0.0132161 | − | 0.0543170i | ||||
\(961\) | 4.25625 | + | 30.7064i | 0.137299 | + | 0.990530i | ||||
\(962\) | 3.31928i | 0.107018i | ||||||||
\(963\) | −13.7238 | − | 2.25975i | −0.442244 | − | 0.0728196i | ||||
\(964\) | −2.24949 | + | 2.02545i | −0.0724513 | + | 0.0652355i | ||||
\(965\) | −9.30299 | − | 12.8045i | −0.299474 | − | 0.412191i | ||||
\(966\) | −13.2858 | + | 3.89130i | −0.427465 | + | 0.125200i | ||||
\(967\) | −3.54427 | − | 2.04629i | −0.113976 | − | 0.0658041i | 0.441928 | − | 0.897050i | \(-0.354295\pi\) |
−0.555904 | + | 0.831246i | \(0.687628\pi\) | |||||||
\(968\) | 10.6177 | − | 1.11597i | 0.341267 | − | 0.0358686i | ||||
\(969\) | −22.4961 | − | 26.5032i | −0.722679 | − | 0.851406i | ||||
\(970\) | −0.0869435 | + | 0.827212i | −0.00279159 | + | 0.0265602i | ||||
\(971\) | 5.12260 | + | 4.61241i | 0.164392 | + | 0.148019i | 0.747221 | − | 0.664576i | \(-0.231388\pi\) |
−0.582829 | + | 0.812595i | \(0.698054\pi\) | |||||||
\(972\) | 0.646237 | − | 15.5751i | 0.0207281 | − | 0.499570i | ||||
\(973\) | −1.09446 | + | 5.14901i | −0.0350866 | + | 0.165070i | ||||
\(974\) | 17.6396 | − | 3.74940i | 0.565208 | − | 0.120139i | ||||
\(975\) | 0.667586 | + | 3.66447i | 0.0213799 | + | 0.117357i | ||||
\(976\) | −5.38598 | − | 1.75001i | −0.172401 | − | 0.0560165i | ||||
\(977\) | 22.4794 | + | 7.30401i | 0.719180 | + | 0.233676i | 0.645668 | − | 0.763618i | \(-0.276579\pi\) |
0.0735126 | + | 0.997294i | \(0.476579\pi\) | |||||||
\(978\) | 0.571545 | + | 3.13728i | 0.0182760 | + | 0.100319i | ||||
\(979\) | −7.29337 | + | 1.55025i | −0.233097 | + | 0.0495463i | ||||
\(980\) | 1.17011 | − | 5.50492i | 0.0373777 | − | 0.175848i | ||||
\(981\) | 1.88763 | + | 2.36039i | 0.0602673 | + | 0.0753616i | ||||
\(982\) | −0.633921 | − | 0.570785i | −0.0202292 | − | 0.0182145i | ||||
\(983\) | 2.49555 | − | 23.7435i | 0.0795955 | − | 0.757301i | −0.879820 | − | 0.475306i | \(-0.842337\pi\) |
0.959416 | − | 0.281995i | \(-0.0909961\pi\) | |||||||
\(984\) | −1.84951 | − | 2.17896i | −0.0589604 | − | 0.0694627i | ||||
\(985\) | 18.0356 | − | 1.89562i | 0.574662 | − | 0.0603994i | ||||
\(986\) | 48.9573 | + | 28.2655i | 1.55912 | + | 0.900157i | ||||
\(987\) | −0.835853 | + | 0.244813i | −0.0266055 | + | 0.00779250i | ||||
\(988\) | 4.63397 | + | 6.37811i | 0.147426 | + | 0.202915i | ||||
\(989\) | 26.3043 | − | 23.6845i | 0.836428 | − | 0.753123i | ||||
\(990\) | 0.277349 | − | 1.68438i | 0.00881472 | − | 0.0535331i | ||||
\(991\) | 7.38263i | 0.234517i | 0.993101 | + | 0.117259i | \(0.0374106\pi\) | ||||
−0.993101 | + | 0.117259i | \(0.962589\pi\) | |||||||
\(992\) | −3.65676 | + | 4.19859i | −0.116102 | + | 0.133305i | ||||
\(993\) | −1.57983 | + | 6.49296i | −0.0501345 | + | 0.206048i | ||||
\(994\) | 3.68548 | + | 11.3427i | 0.116896 | + | 0.359770i | ||||
\(995\) | −13.5661 | − | 15.0666i | −0.430073 | − | 0.477645i | ||||
\(996\) | −5.34680 | + | 2.19559i | −0.169420 | + | 0.0695699i | ||||
\(997\) | −18.3449 | − | 31.7743i | −0.580988 | − | 1.00630i | −0.995363 | − | 0.0961947i | \(-0.969333\pi\) |
0.414374 | − | 0.910107i | \(-0.364000\pi\) | |||||||
\(998\) | 4.96049 | − | 8.59182i | 0.157022 | − | 0.271969i | ||||
\(999\) | 6.56771 | + | 4.60313i | 0.207793 | + | 0.145637i |
(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 | 930.2.br.a.11.7 | ✓ | 176 | |
3.2 | odd | 2 | inner | 930.2.br.a.11.14 | yes | 176 | |
31.17 | odd | 30 | inner | 930.2.br.a.761.14 | yes | 176 | |
93.17 | even | 30 | inner | 930.2.br.a.761.7 | yes | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.br.a.11.7 | ✓ | 176 | 1.1 | even | 1 | trivial | |
930.2.br.a.11.14 | yes | 176 | 3.2 | odd | 2 | inner | |
930.2.br.a.761.7 | yes | 176 | 93.17 | even | 30 | inner | |
930.2.br.a.761.14 | yes | 176 | 31.17 | odd | 30 | inner |