Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(4,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 44, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.y (of order \(33\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 4.9 | ||
Character | \(\chi\) | \(=\) | 483.4 |
Dual form | 483.2.y.b.121.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0919807 | + | 0.129169i | −0.0650402 | + | 0.0913361i | −0.845815 | − | 0.533477i | \(-0.820885\pi\) |
0.780775 | + | 0.624813i | \(0.214825\pi\) | |||||||
\(3\) | 0.235759 | − | 0.971812i | 0.136115 | − | 0.561076i | ||||
\(4\) | 0.645912 | + | 1.86624i | 0.322956 | + | 0.933120i | ||||
\(5\) | 0.0626824 | − | 1.31586i | 0.0280324 | − | 0.588473i | −0.940531 | − | 0.339707i | \(-0.889672\pi\) |
0.968564 | − | 0.248766i | \(-0.0800249\pi\) | |||||||
\(6\) | 0.103842 | + | 0.119841i | 0.0423935 | + | 0.0489247i | ||||
\(7\) | 0.568266 | − | 2.58400i | 0.214785 | − | 0.976661i | ||||
\(8\) | −0.604769 | − | 0.177576i | −0.213818 | − | 0.0627826i | ||||
\(9\) | −0.888835 | − | 0.458227i | −0.296278 | − | 0.152742i | ||||
\(10\) | 0.164203 | + | 0.129131i | 0.0519256 | + | 0.0408347i | ||||
\(11\) | −1.86588 | − | 2.62026i | −0.562583 | − | 0.790038i | 0.431094 | − | 0.902307i | \(-0.358128\pi\) |
−0.993678 | + | 0.112269i | \(0.964188\pi\) | |||||||
\(12\) | 1.96591 | − | 0.187722i | 0.567510 | − | 0.0541906i | ||||
\(13\) | 0.717504 | − | 4.99035i | 0.199000 | − | 1.38407i | −0.608195 | − | 0.793788i | \(-0.708106\pi\) |
0.807195 | − | 0.590286i | \(-0.200985\pi\) | |||||||
\(14\) | 0.281503 | + | 0.311081i | 0.0752349 | + | 0.0831398i | ||||
\(15\) | −1.26399 | − | 0.371142i | −0.326362 | − | 0.0958285i | ||||
\(16\) | −3.02612 | + | 2.37977i | −0.756529 | + | 0.594941i | ||||
\(17\) | −2.10666 | + | 0.406024i | −0.510939 | + | 0.0984754i | −0.438203 | − | 0.898876i | \(-0.644385\pi\) |
−0.0727355 | + | 0.997351i | \(0.523173\pi\) | |||||||
\(18\) | 0.140944 | − | 0.0726618i | 0.0332209 | − | 0.0171266i | ||||
\(19\) | 5.62935 | + | 1.08497i | 1.29146 | + | 0.248909i | 0.788304 | − | 0.615286i | \(-0.210959\pi\) |
0.503158 | + | 0.864195i | \(0.332171\pi\) | |||||||
\(20\) | 2.49621 | − | 0.732952i | 0.558169 | − | 0.163893i | ||||
\(21\) | −2.37719 | − | 1.16145i | −0.518745 | − | 0.253449i | ||||
\(22\) | 0.510081 | 0.108750 | ||||||||
\(23\) | 3.12217 | + | 3.64034i | 0.651017 | + | 0.759063i | ||||
\(24\) | −0.315150 | + | 0.545856i | −0.0643297 | + | 0.111422i | ||||
\(25\) | 3.24979 | + | 0.310317i | 0.649958 | + | 0.0620634i | ||||
\(26\) | 0.578601 | + | 0.551695i | 0.113473 | + | 0.108196i | ||||
\(27\) | −0.654861 | + | 0.755750i | −0.126028 | + | 0.145444i | ||||
\(28\) | 5.18942 | − | 0.608517i | 0.980708 | − | 0.114999i | ||||
\(29\) | −6.22697 | − | 7.18631i | −1.15632 | − | 1.33446i | −0.933066 | − | 0.359704i | \(-0.882878\pi\) |
−0.223254 | − | 0.974760i | \(-0.571668\pi\) | |||||||
\(30\) | 0.164203 | − | 0.129131i | 0.0299793 | − | 0.0235759i | ||||
\(31\) | 2.58605 | − | 2.46580i | 0.464469 | − | 0.442870i | −0.421352 | − | 0.906897i | \(-0.638444\pi\) |
0.885821 | + | 0.464027i | \(0.153596\pi\) | |||||||
\(32\) | −0.0890288 | − | 1.86894i | −0.0157382 | − | 0.330386i | ||||
\(33\) | −2.98630 | + | 1.19553i | −0.519847 | + | 0.208115i | ||||
\(34\) | 0.141326 | − | 0.309461i | 0.0242372 | − | 0.0530720i | ||||
\(35\) | −3.36458 | − | 0.909733i | −0.568718 | − | 0.153773i | ||||
\(36\) | 0.281051 | − | 1.95475i | 0.0468419 | − | 0.325792i | ||||
\(37\) | 3.24395 | + | 1.67237i | 0.533302 | + | 0.274936i | 0.703771 | − | 0.710427i | \(-0.251498\pi\) |
−0.170469 | + | 0.985363i | \(0.554528\pi\) | |||||||
\(38\) | −0.657936 | + | 0.627341i | −0.106731 | + | 0.101768i | ||||
\(39\) | −4.68052 | − | 1.87380i | −0.749483 | − | 0.300048i | ||||
\(40\) | −0.271574 | + | 0.784663i | −0.0429397 | + | 0.124066i | ||||
\(41\) | 7.80449 | + | 5.01564i | 1.21886 | + | 0.783312i | 0.982119 | − | 0.188261i | \(-0.0602852\pi\) |
0.236738 | + | 0.971573i | \(0.423922\pi\) | |||||||
\(42\) | 0.368679 | − | 0.200228i | 0.0568884 | − | 0.0308958i | ||||
\(43\) | −6.63141 | + | 1.94716i | −1.01128 | + | 0.296939i | −0.745077 | − | 0.666978i | \(-0.767587\pi\) |
−0.266203 | + | 0.963917i | \(0.585769\pi\) | |||||||
\(44\) | 3.68484 | − | 5.17463i | 0.555510 | − | 0.780105i | ||||
\(45\) | −0.658678 | + | 1.14086i | −0.0981900 | + | 0.170070i | ||||
\(46\) | −0.757397 | + | 0.0684462i | −0.111672 | + | 0.0100918i | ||||
\(47\) | −0.750846 | − | 1.30050i | −0.109522 | − | 0.189698i | 0.806055 | − | 0.591841i | \(-0.201599\pi\) |
−0.915577 | + | 0.402143i | \(0.868265\pi\) | |||||||
\(48\) | 1.59925 | + | 3.50187i | 0.230832 | + | 0.505451i | ||||
\(49\) | −6.35415 | − | 2.93680i | −0.907735 | − | 0.419544i | ||||
\(50\) | −0.339001 | + | 0.391228i | −0.0479420 | + | 0.0553280i | ||||
\(51\) | −0.102083 | + | 2.14300i | −0.0142945 | + | 0.300079i | ||||
\(52\) | 9.77663 | − | 1.88429i | 1.35577 | − | 0.261304i | ||||
\(53\) | 4.34165 | + | 1.73813i | 0.596371 | + | 0.238751i | 0.650155 | − | 0.759801i | \(-0.274704\pi\) |
−0.0537837 | + | 0.998553i | \(0.517128\pi\) | |||||||
\(54\) | −0.0373847 | − | 0.154102i | −0.00508742 | − | 0.0209706i | ||||
\(55\) | −3.56486 | + | 2.29100i | −0.480686 | + | 0.308918i | ||||
\(56\) | −0.802527 | + | 1.46181i | −0.107242 | + | 0.195343i | ||||
\(57\) | 2.38156 | − | 5.21488i | 0.315445 | − | 0.690728i | ||||
\(58\) | 1.50101 | − | 0.143329i | 0.197092 | − | 0.0188200i | ||||
\(59\) | −7.83184 | − | 6.15903i | −1.01962 | − | 0.801837i | −0.0392940 | − | 0.999228i | \(-0.512511\pi\) |
−0.980325 | + | 0.197391i | \(0.936753\pi\) | |||||||
\(60\) | −0.123789 | − | 2.59864i | −0.0159810 | − | 0.335483i | ||||
\(61\) | 1.87416 | + | 7.72541i | 0.239962 | + | 0.989138i | 0.956533 | + | 0.291624i | \(0.0941954\pi\) |
−0.716571 | + | 0.697514i | \(0.754289\pi\) | |||||||
\(62\) | 0.0806371 | + | 0.560843i | 0.0102409 | + | 0.0712272i | ||||
\(63\) | −1.68915 | + | 2.03636i | −0.212813 | + | 0.256557i | ||||
\(64\) | −6.22765 | − | 4.00227i | −0.778457 | − | 0.500284i | ||||
\(65\) | −6.52165 | − | 1.25694i | −0.808911 | − | 0.155905i | ||||
\(66\) | 0.120256 | − | 0.495702i | 0.0148025 | − | 0.0610167i | ||||
\(67\) | 9.58930 | + | 0.915667i | 1.17152 | + | 0.111866i | 0.662617 | − | 0.748958i | \(-0.269446\pi\) |
0.508902 | + | 0.860825i | \(0.330052\pi\) | |||||||
\(68\) | −2.11845 | − | 3.66927i | −0.256900 | − | 0.444964i | ||||
\(69\) | 4.27380 | − | 2.17592i | 0.514505 | − | 0.261950i | ||||
\(70\) | 0.426985 | − | 0.350921i | 0.0510345 | − | 0.0419431i | ||||
\(71\) | −2.89468 | − | 6.33846i | −0.343535 | − | 0.752236i | 0.656463 | − | 0.754358i | \(-0.272052\pi\) |
−0.999998 | + | 0.00212189i | \(0.999325\pi\) | |||||||
\(72\) | 0.456170 | + | 0.434957i | 0.0537601 | + | 0.0512602i | ||||
\(73\) | 4.06933 | + | 11.7575i | 0.476279 | + | 1.37612i | 0.885906 | + | 0.463864i | \(0.153537\pi\) |
−0.409628 | + | 0.912253i | \(0.634341\pi\) | |||||||
\(74\) | −0.514399 | + | 0.265191i | −0.0597977 | + | 0.0308279i | ||||
\(75\) | 1.06774 | − | 3.08502i | 0.123292 | − | 0.356228i | ||||
\(76\) | 1.61125 | + | 11.2065i | 0.184823 | + | 1.28548i | ||||
\(77\) | −7.83107 | + | 3.33243i | −0.892434 | + | 0.379766i | ||||
\(78\) | 0.672554 | − | 0.432224i | 0.0761517 | − | 0.0489397i | ||||
\(79\) | −11.4628 | + | 4.58902i | −1.28967 | + | 0.516305i | −0.912210 | − | 0.409722i | \(-0.865626\pi\) |
−0.377457 | + | 0.926027i | \(0.623201\pi\) | |||||||
\(80\) | 2.94176 | + | 4.13113i | 0.328899 | + | 0.461874i | ||||
\(81\) | 0.580057 | + | 0.814576i | 0.0644508 | + | 0.0905084i | ||||
\(82\) | −1.36573 | + | 0.546755i | −0.150819 | + | 0.0603790i | ||||
\(83\) | 2.44600 | − | 1.57195i | 0.268484 | − | 0.172544i | −0.399471 | − | 0.916746i | \(-0.630806\pi\) |
0.667955 | + | 0.744202i | \(0.267170\pi\) | |||||||
\(84\) | 0.632088 | − | 5.18660i | 0.0689665 | − | 0.565905i | ||||
\(85\) | 0.402223 | + | 2.79752i | 0.0436272 | + | 0.303434i | ||||
\(86\) | 0.358450 | − | 1.03567i | 0.0386526 | − | 0.111679i | ||||
\(87\) | −8.45180 | + | 4.35721i | −0.906129 | + | 0.467142i | ||||
\(88\) | 0.663129 | + | 1.91599i | 0.0706898 | + | 0.204245i | ||||
\(89\) | 8.39826 | + | 8.00773i | 0.890214 | + | 0.848817i | 0.989245 | − | 0.146267i | \(-0.0467259\pi\) |
−0.0990311 | + | 0.995084i | \(0.531574\pi\) | |||||||
\(90\) | −0.0867784 | − | 0.190018i | −0.00914725 | − | 0.0200297i | ||||
\(91\) | −12.4873 | − | 4.68988i | −1.30903 | − | 0.491633i | ||||
\(92\) | −4.77710 | + | 8.17805i | −0.498047 | + | 0.852621i | ||||
\(93\) | −1.78661 | − | 3.09449i | −0.185262 | − | 0.320884i | ||||
\(94\) | 0.237048 | + | 0.0226353i | 0.0244496 | + | 0.00233466i | ||||
\(95\) | 1.78053 | − | 7.33946i | 0.182679 | − | 0.753012i | ||||
\(96\) | −1.83725 | − | 0.354101i | −0.187514 | − | 0.0361403i | ||||
\(97\) | 6.27343 | + | 4.03169i | 0.636970 | + | 0.409356i | 0.818884 | − | 0.573959i | \(-0.194593\pi\) |
−0.181914 | + | 0.983314i | \(0.558229\pi\) | |||||||
\(98\) | 0.963802 | − | 0.550628i | 0.0973588 | − | 0.0556219i | ||||
\(99\) | 0.457786 | + | 3.18397i | 0.0460093 | + | 0.320001i | ||||
\(100\) | 1.51995 | + | 6.26532i | 0.151995 | + | 0.626532i | ||||
\(101\) | −0.0580670 | − | 1.21898i | −0.00577788 | − | 0.121293i | −0.999914 | − | 0.0131522i | \(-0.995813\pi\) |
0.994136 | − | 0.108140i | \(-0.0344896\pi\) | |||||||
\(102\) | −0.267419 | − | 0.210300i | −0.0264784 | − | 0.0208228i | ||||
\(103\) | 8.46685 | − | 0.808486i | 0.834264 | − | 0.0796625i | 0.330824 | − | 0.943693i | \(-0.392673\pi\) |
0.503440 | + | 0.864030i | \(0.332067\pi\) | |||||||
\(104\) | −1.32009 | + | 2.89059i | −0.129445 | + | 0.283446i | ||||
\(105\) | −1.67732 | + | 3.05526i | −0.163690 | + | 0.298163i | ||||
\(106\) | −0.623861 | + | 0.400931i | −0.0605947 | + | 0.0389419i | ||||
\(107\) | 2.22418 | + | 9.16820i | 0.215020 | + | 0.886323i | 0.972395 | + | 0.233343i | \(0.0749664\pi\) |
−0.757375 | + | 0.652980i | \(0.773518\pi\) | |||||||
\(108\) | −1.83339 | − | 0.733979i | −0.176418 | − | 0.0706272i | ||||
\(109\) | −4.41881 | + | 0.851655i | −0.423245 | + | 0.0815738i | −0.396426 | − | 0.918067i | \(-0.629750\pi\) |
−0.0268186 | + | 0.999640i | \(0.508538\pi\) | |||||||
\(110\) | 0.0319731 | − | 0.671197i | 0.00304851 | − | 0.0639961i | ||||
\(111\) | 2.39002 | − | 2.75823i | 0.226851 | − | 0.261800i | ||||
\(112\) | 4.42968 | + | 9.17184i | 0.418565 | + | 0.866657i | ||||
\(113\) | 5.96125 | + | 13.0533i | 0.560787 | + | 1.22795i | 0.951559 | + | 0.307465i | \(0.0994807\pi\) |
−0.390772 | + | 0.920487i | \(0.627792\pi\) | |||||||
\(114\) | 0.454543 | + | 0.787291i | 0.0425718 | + | 0.0737365i | ||||
\(115\) | 4.98590 | − | 3.88017i | 0.464937 | − | 0.361828i | ||||
\(116\) | 9.38930 | − | 16.2627i | 0.871775 | − | 1.50996i | ||||
\(117\) | −2.92445 | + | 4.10682i | −0.270366 | + | 0.379675i | ||||
\(118\) | 1.51593 | − | 0.445118i | 0.139553 | − | 0.0409764i | ||||
\(119\) | −0.147973 | + | 5.67433i | −0.0135646 | + | 0.520165i | ||||
\(120\) | 0.698518 | + | 0.448910i | 0.0637657 | + | 0.0409797i | ||||
\(121\) | 0.213491 | − | 0.616843i | 0.0194083 | − | 0.0560766i | ||||
\(122\) | −1.17027 | − | 0.468505i | −0.105951 | − | 0.0424165i | ||||
\(123\) | 6.71424 | − | 6.40202i | 0.605403 | − | 0.577250i | ||||
\(124\) | 6.27213 | + | 3.23351i | 0.563254 | + | 0.290378i | ||||
\(125\) | 1.54944 | − | 10.7766i | 0.138586 | − | 0.963886i | ||||
\(126\) | −0.107664 | − | 0.405492i | −0.00959152 | − | 0.0361241i | ||||
\(127\) | −3.65176 | + | 7.99623i | −0.324041 | + | 0.709551i | −0.999615 | − | 0.0277411i | \(-0.991169\pi\) |
0.675574 | + | 0.737292i | \(0.263896\pi\) | |||||||
\(128\) | 4.56386 | − | 1.82710i | 0.403392 | − | 0.161494i | ||||
\(129\) | 0.328856 | + | 6.90354i | 0.0289542 | + | 0.607823i | ||||
\(130\) | 0.762224 | − | 0.726779i | 0.0668514 | − | 0.0637427i | ||||
\(131\) | −12.9247 | + | 10.1641i | −1.12924 | + | 0.888043i | −0.994695 | − | 0.102865i | \(-0.967199\pi\) |
−0.134543 | + | 0.990908i | \(0.542957\pi\) | |||||||
\(132\) | −4.16003 | − | 4.80093i | −0.362084 | − | 0.417868i | ||||
\(133\) | 6.00253 | − | 13.9297i | 0.520486 | − | 1.20786i | ||||
\(134\) | −1.00031 | + | 1.15441i | −0.0864132 | + | 0.0997262i | ||||
\(135\) | 0.953416 | + | 0.909080i | 0.0820570 | + | 0.0782412i | ||||
\(136\) | 1.34614 | + | 0.128541i | 0.115430 | + | 0.0110223i | ||||
\(137\) | −6.77702 | + | 11.7381i | −0.579000 | + | 1.00286i | 0.416595 | + | 0.909092i | \(0.363223\pi\) |
−0.995594 | + | 0.0937648i | \(0.970110\pi\) | |||||||
\(138\) | −0.112046 | + | 0.752184i | −0.00953802 | + | 0.0640302i | ||||
\(139\) | −14.4553 | −1.22609 | −0.613043 | − | 0.790050i | \(-0.710055\pi\) | ||||
−0.613043 | + | 0.790050i | \(0.710055\pi\) | |||||||
\(140\) | −0.475441 | − | 6.86672i | −0.0401821 | − | 0.580344i | ||||
\(141\) | −1.44086 | + | 0.423076i | −0.121343 | + | 0.0356294i | ||||
\(142\) | 1.08499 | + | 0.209114i | 0.0910499 | + | 0.0175484i | ||||
\(143\) | −14.4148 | + | 7.43133i | −1.20542 | + | 0.621439i | ||||
\(144\) | 3.78019 | − | 0.728572i | 0.315016 | − | 0.0607144i | ||||
\(145\) | −9.84653 | + | 7.74340i | −0.817710 | + | 0.643054i | ||||
\(146\) | −1.89301 | − | 0.555837i | −0.156666 | − | 0.0460014i | ||||
\(147\) | −4.35207 | + | 5.48265i | −0.358953 | + | 0.452202i | ||||
\(148\) | −1.02574 | + | 7.13419i | −0.0843155 | + | 0.586427i | ||||
\(149\) | −13.7235 | + | 1.31044i | −1.12428 | + | 0.107355i | −0.640588 | − | 0.767885i | \(-0.721309\pi\) |
−0.483688 | + | 0.875240i | \(0.660703\pi\) | |||||||
\(150\) | 0.300278 | + | 0.421681i | 0.0245176 | + | 0.0344301i | ||||
\(151\) | −0.195291 | − | 0.153578i | −0.0158925 | − | 0.0124980i | 0.610181 | − | 0.792262i | \(-0.291097\pi\) |
−0.626074 | + | 0.779764i | \(0.715339\pi\) | |||||||
\(152\) | −3.21179 | − | 1.65579i | −0.260511 | − | 0.134303i | ||||
\(153\) | 2.05852 | + | 0.604436i | 0.166422 | + | 0.0488658i | ||||
\(154\) | 0.289862 | − | 1.31805i | 0.0233577 | − | 0.106211i | ||||
\(155\) | −3.08256 | − | 3.55746i | −0.247597 | − | 0.285742i | ||||
\(156\) | 0.473752 | − | 9.94528i | 0.0379305 | − | 0.796260i | ||||
\(157\) | −2.13923 | − | 6.18090i | −0.170729 | − | 0.493290i | 0.826881 | − | 0.562376i | \(-0.190113\pi\) |
−0.997611 | + | 0.0690867i | \(0.977992\pi\) | |||||||
\(158\) | 0.461600 | − | 1.90274i | 0.0367229 | − | 0.151374i | ||||
\(159\) | 2.71272 | − | 3.80948i | 0.215133 | − | 0.302112i | ||||
\(160\) | −2.46486 | −0.194864 | ||||||||
\(161\) | 11.1809 | − | 5.99902i | 0.881176 | − | 0.472789i | ||||
\(162\) | −0.158572 | −0.0124586 | ||||||||
\(163\) | 3.59969 | − | 5.05505i | 0.281949 | − | 0.395942i | −0.649178 | − | 0.760636i | \(-0.724887\pi\) |
0.931127 | + | 0.364694i | \(0.118826\pi\) | |||||||
\(164\) | −4.31938 | + | 17.8047i | −0.337287 | + | 1.39032i | ||||
\(165\) | 1.38597 | + | 4.00450i | 0.107898 | + | 0.311750i | ||||
\(166\) | −0.0219380 | + | 0.460536i | −0.00170272 | + | 0.0357445i | ||||
\(167\) | 6.56678 | + | 7.57847i | 0.508153 | + | 0.586439i | 0.950625 | − | 0.310343i | \(-0.100444\pi\) |
−0.442472 | + | 0.896782i | \(0.645898\pi\) | |||||||
\(168\) | 1.23140 | + | 1.12454i | 0.0950049 | + | 0.0867602i | ||||
\(169\) | −11.9153 | − | 3.49866i | −0.916565 | − | 0.269128i | ||||
\(170\) | −0.398350 | − | 0.205363i | −0.0305520 | − | 0.0157507i | ||||
\(171\) | −4.50641 | − | 3.54388i | −0.344614 | − | 0.271007i | ||||
\(172\) | −7.91717 | − | 11.1181i | −0.603678 | − | 0.847748i | ||||
\(173\) | −20.1192 | + | 1.92115i | −1.52964 | + | 0.146062i | −0.825662 | − | 0.564164i | \(-0.809198\pi\) |
−0.703973 | + | 0.710227i | \(0.748592\pi\) | |||||||
\(174\) | 0.214587 | − | 1.49249i | 0.0162678 | − | 0.113145i | ||||
\(175\) | 2.64861 | − | 8.22112i | 0.200216 | − | 0.621458i | ||||
\(176\) | 11.8820 | + | 3.48886i | 0.895637 | + | 0.262983i | ||||
\(177\) | −7.83184 | + | 6.15903i | −0.588677 | + | 0.462941i | ||||
\(178\) | −1.80683 | + | 0.348237i | −0.135427 | + | 0.0261015i | ||||
\(179\) | 21.1349 | − | 10.8958i | 1.57969 | − | 0.814389i | 0.579694 | − | 0.814835i | \(-0.303172\pi\) |
1.00000 | 0.000446030i | \(0.000141976\pi\) | ||||||||
\(180\) | −2.55457 | − | 0.492354i | −0.190407 | − | 0.0366979i | ||||
\(181\) | 17.1121 | − | 5.02457i | 1.27193 | − | 0.373474i | 0.425011 | − | 0.905188i | \(-0.360270\pi\) |
0.846924 | + | 0.531714i | \(0.178452\pi\) | |||||||
\(182\) | 1.75438 | − | 1.18160i | 0.130043 | − | 0.0875858i | ||||
\(183\) | 7.94950 | 0.587644 | ||||||||
\(184\) | −1.24175 | − | 2.75598i | −0.0915433 | − | 0.203174i | ||||
\(185\) | 2.40395 | − | 4.16377i | 0.176742 | − | 0.306127i | ||||
\(186\) | 0.564045 | + | 0.0538598i | 0.0413578 | + | 0.00394919i | ||||
\(187\) | 4.99465 | + | 4.76239i | 0.365245 | + | 0.348260i | ||||
\(188\) | 1.94207 | − | 2.24127i | 0.141640 | − | 0.163461i | ||||
\(189\) | 1.58072 | + | 2.12163i | 0.114981 | + | 0.154326i | ||||
\(190\) | 0.784254 | + | 0.905078i | 0.0568958 | + | 0.0656612i | ||||
\(191\) | 16.9397 | − | 13.3215i | 1.22571 | − | 0.963912i | 0.225767 | − | 0.974181i | \(-0.427511\pi\) |
0.999947 | + | 0.0102694i | \(0.00326890\pi\) | |||||||
\(192\) | −5.35768 | + | 5.10853i | −0.386657 | + | 0.368677i | ||||
\(193\) | −0.570935 | − | 11.9854i | −0.0410968 | − | 0.862728i | −0.921471 | − | 0.388448i | \(-0.873011\pi\) |
0.880374 | − | 0.474280i | \(-0.157292\pi\) | |||||||
\(194\) | −1.09780 | + | 0.439494i | −0.0788176 | + | 0.0315538i | ||||
\(195\) | −2.75905 | + | 6.04148i | −0.197580 | + | 0.432639i | ||||
\(196\) | 1.37656 | − | 13.7553i | 0.0983260 | − | 0.982520i | ||||
\(197\) | 1.03527 | − | 7.20047i | 0.0737601 | − | 0.513013i | −0.919128 | − | 0.393959i | \(-0.871105\pi\) |
0.992888 | − | 0.119053i | \(-0.0379859\pi\) | |||||||
\(198\) | −0.453378 | − | 0.233732i | −0.0322201 | − | 0.0166106i | ||||
\(199\) | 4.62552 | − | 4.41042i | 0.327894 | − | 0.312646i | −0.508193 | − | 0.861243i | \(-0.669686\pi\) |
0.836087 | + | 0.548597i | \(0.184838\pi\) | |||||||
\(200\) | −1.91027 | − | 0.764755i | −0.135076 | − | 0.0540763i | ||||
\(201\) | 3.15062 | − | 9.10311i | 0.222227 | − | 0.642084i | ||||
\(202\) | 0.162795 | + | 0.104622i | 0.0114542 | + | 0.00736117i | ||||
\(203\) | −22.1080 | + | 12.0068i | −1.55168 | + | 0.842711i | ||||
\(204\) | −4.06528 | + | 1.19367i | −0.284627 | + | 0.0835739i | ||||
\(205\) | 7.08911 | − | 9.95527i | 0.495125 | − | 0.695306i | ||||
\(206\) | −0.674356 | + | 1.16802i | −0.0469846 | + | 0.0813797i | ||||
\(207\) | −1.10700 | − | 4.66632i | −0.0769415 | − | 0.324332i | ||||
\(208\) | 9.70460 | + | 16.8089i | 0.672893 | + | 1.16549i | ||||
\(209\) | −7.66078 | − | 16.7748i | −0.529908 | − | 1.16034i | ||||
\(210\) | −0.240363 | − | 0.497682i | −0.0165866 | − | 0.0343433i | ||||
\(211\) | 5.74167 | − | 6.62625i | 0.395273 | − | 0.456170i | −0.522873 | − | 0.852410i | \(-0.675140\pi\) |
0.918147 | + | 0.396241i | \(0.129685\pi\) | |||||||
\(212\) | −0.439452 | + | 9.22524i | −0.0301817 | + | 0.633592i | ||||
\(213\) | −6.84223 | + | 1.31873i | −0.468822 | + | 0.0903580i | ||||
\(214\) | −1.38883 | − | 0.556002i | −0.0949382 | − | 0.0380075i | ||||
\(215\) | 2.14652 | + | 8.84809i | 0.146392 | + | 0.603435i | ||||
\(216\) | 0.530242 | − | 0.340766i | 0.0360784 | − | 0.0231862i | ||||
\(217\) | −4.90206 | − | 8.08360i | −0.332774 | − | 0.548751i | ||||
\(218\) | 0.296438 | − | 0.649108i | 0.0200773 | − | 0.0439631i | ||||
\(219\) | 12.3855 | − | 1.18267i | 0.836935 | − | 0.0799176i | ||||
\(220\) | −6.57814 | − | 5.17311i | −0.443498 | − | 0.348771i | ||||
\(221\) | 0.514671 | + | 10.8043i | 0.0346205 | + | 0.726773i | ||||
\(222\) | 0.136442 | + | 0.562420i | 0.00915737 | + | 0.0377472i | ||||
\(223\) | −2.22180 | − | 15.4530i | −0.148783 | − | 1.03481i | −0.918216 | − | 0.396080i | \(-0.870370\pi\) |
0.769433 | − | 0.638727i | \(-0.220539\pi\) | |||||||
\(224\) | −4.87995 | − | 0.832008i | −0.326056 | − | 0.0555909i | ||||
\(225\) | −2.74633 | − | 1.76496i | −0.183089 | − | 0.117664i | ||||
\(226\) | −2.23440 | − | 0.430645i | −0.148630 | − | 0.0286461i | ||||
\(227\) | 1.72912 | − | 7.12754i | 0.114766 | − | 0.473071i | −0.885203 | − | 0.465205i | \(-0.845981\pi\) |
0.999969 | − | 0.00786674i | \(-0.00250409\pi\) | |||||||
\(228\) | 11.2705 | + | 1.07620i | 0.746406 | + | 0.0712732i | ||||
\(229\) | 14.3138 | + | 24.7923i | 0.945885 | + | 1.63832i | 0.753969 | + | 0.656910i | \(0.228137\pi\) |
0.191916 | + | 0.981411i | \(0.438530\pi\) | |||||||
\(230\) | 0.0425905 | + | 1.00092i | 0.00280833 | + | 0.0659989i | ||||
\(231\) | 1.39225 | + | 8.39598i | 0.0916032 | + | 0.552415i | ||||
\(232\) | 2.48976 | + | 5.45182i | 0.163461 | + | 0.357929i | ||||
\(233\) | 15.9564 | + | 15.2144i | 1.04534 | + | 0.996728i | 0.999997 | − | 0.00224311i | \(-0.000714004\pi\) |
0.0453412 | + | 0.998972i | \(0.485562\pi\) | |||||||
\(234\) | −0.261480 | − | 0.755496i | −0.0170935 | − | 0.0493883i | ||||
\(235\) | −1.75835 | + | 0.906493i | −0.114702 | + | 0.0591331i | ||||
\(236\) | 6.43554 | − | 18.5943i | 0.418918 | − | 1.21038i | ||||
\(237\) | 1.75720 | + | 12.2216i | 0.114142 | + | 0.793878i | ||||
\(238\) | −0.719336 | − | 0.541043i | −0.0466277 | − | 0.0350706i | ||||
\(239\) | −6.08289 | + | 3.90924i | −0.393470 | + | 0.252868i | −0.722384 | − | 0.691492i | \(-0.756954\pi\) |
0.328914 | + | 0.944360i | \(0.393317\pi\) | |||||||
\(240\) | 4.70823 | − | 1.88489i | 0.303915 | − | 0.121669i | ||||
\(241\) | −6.24720 | − | 8.77297i | −0.402418 | − | 0.565117i | 0.562790 | − | 0.826600i | \(-0.309728\pi\) |
−0.965208 | + | 0.261483i | \(0.915788\pi\) | |||||||
\(242\) | 0.0600398 | + | 0.0843140i | 0.00385950 | + | 0.00541991i | ||||
\(243\) | 0.928368 | − | 0.371662i | 0.0595548 | − | 0.0238422i | ||||
\(244\) | −13.2069 | + | 8.48758i | −0.845487 | + | 0.543361i | ||||
\(245\) | −4.26273 | + | 8.17711i | −0.272336 | + | 0.522416i | ||||
\(246\) | 0.209360 | + | 1.45613i | 0.0133483 | + | 0.0928396i | ||||
\(247\) | 9.45345 | − | 27.3140i | 0.601509 | − | 1.73795i | ||||
\(248\) | −2.00183 | + | 1.03202i | −0.127116 | + | 0.0655331i | ||||
\(249\) | −0.950972 | − | 2.74765i | −0.0602654 | − | 0.174125i | ||||
\(250\) | 1.24948 | + | 1.19138i | 0.0790240 | + | 0.0753492i | ||||
\(251\) | −3.03420 | − | 6.64397i | −0.191517 | − | 0.419363i | 0.789377 | − | 0.613909i | \(-0.210404\pi\) |
−0.980893 | + | 0.194546i | \(0.937677\pi\) | |||||||
\(252\) | −4.89138 | − | 1.83706i | −0.308128 | − | 0.115724i | ||||
\(253\) | 3.71304 | − | 14.9733i | 0.233437 | − | 0.941364i | ||||
\(254\) | −0.696973 | − | 1.20719i | −0.0437320 | − | 0.0757460i | ||||
\(255\) | 2.81349 | + | 0.268656i | 0.176188 | + | 0.0168239i | ||||
\(256\) | 3.30678 | − | 13.6307i | 0.206674 | − | 0.851921i | ||||
\(257\) | 26.0580 | + | 5.02228i | 1.62546 | + | 0.313281i | 0.918934 | − | 0.394410i | \(-0.129051\pi\) |
0.706522 | + | 0.707691i | \(0.250263\pi\) | |||||||
\(258\) | −0.921970 | − | 0.592514i | −0.0573994 | − | 0.0368883i | ||||
\(259\) | 6.16485 | − | 7.43203i | 0.383065 | − | 0.461804i | ||||
\(260\) | −1.86665 | − | 12.9828i | −0.115765 | − | 0.805161i | ||||
\(261\) | 2.24180 | + | 9.24081i | 0.138764 | + | 0.571992i | ||||
\(262\) | −0.124062 | − | 2.60437i | −0.00766455 | − | 0.160899i | ||||
\(263\) | −9.14179 | − | 7.18919i | −0.563707 | − | 0.443304i | 0.295200 | − | 0.955435i | \(-0.404614\pi\) |
−0.858907 | + | 0.512131i | \(0.828856\pi\) | |||||||
\(264\) | 2.01832 | − | 0.192726i | 0.124219 | − | 0.0118615i | ||||
\(265\) | 2.55929 | − | 5.60407i | 0.157216 | − | 0.344256i | ||||
\(266\) | 1.24717 | + | 2.05661i | 0.0764687 | + | 0.126099i | ||||
\(267\) | 9.76197 | − | 6.27364i | 0.597423 | − | 0.383940i | ||||
\(268\) | 4.48499 | + | 18.4874i | 0.273964 | + | 1.12930i | ||||
\(269\) | 13.9611 | + | 5.58918i | 0.851223 | + | 0.340778i | 0.755915 | − | 0.654670i | \(-0.227192\pi\) |
0.0953075 | + | 0.995448i | \(0.469617\pi\) | |||||||
\(270\) | −0.205121 | + | 0.0395338i | −0.0124832 | + | 0.00240595i | ||||
\(271\) | 0.370608 | − | 7.78002i | 0.0225128 | − | 0.472603i | −0.959258 | − | 0.282533i | \(-0.908825\pi\) |
0.981771 | − | 0.190070i | \(-0.0608715\pi\) | |||||||
\(272\) | 5.40874 | − | 6.24202i | 0.327953 | − | 0.378478i | ||||
\(273\) | −7.50168 | + | 11.0297i | −0.454022 | + | 0.667545i | ||||
\(274\) | −0.892847 | − | 1.95506i | −0.0539389 | − | 0.118110i | ||||
\(275\) | −5.25060 | − | 9.09430i | −0.316623 | − | 0.548407i | ||||
\(276\) | 6.82128 | + | 6.57049i | 0.410593 | + | 0.395497i | ||||
\(277\) | −3.01006 | + | 5.21357i | −0.180857 | + | 0.313253i | −0.942173 | − | 0.335128i | \(-0.891220\pi\) |
0.761316 | + | 0.648381i | \(0.224554\pi\) | |||||||
\(278\) | 1.32961 | − | 1.86718i | 0.0797448 | − | 0.111986i | ||||
\(279\) | −3.42847 | + | 1.00669i | −0.205257 | + | 0.0602689i | ||||
\(280\) | 1.87324 | + | 1.14765i | 0.111948 | + | 0.0685850i | ||||
\(281\) | 9.64949 | + | 6.20135i | 0.575641 | + | 0.369942i | 0.795834 | − | 0.605514i | \(-0.207033\pi\) |
−0.220194 | + | 0.975456i | \(0.570669\pi\) | |||||||
\(282\) | 0.0778834 | − | 0.225029i | 0.00463789 | − | 0.0134003i | ||||
\(283\) | −13.6616 | − | 5.46930i | −0.812100 | − | 0.325116i | −0.0718228 | − | 0.997417i | \(-0.522882\pi\) |
−0.740277 | + | 0.672301i | \(0.765306\pi\) | |||||||
\(284\) | 9.95937 | − | 9.49624i | 0.590980 | − | 0.563498i | ||||
\(285\) | −6.71279 | − | 3.46069i | −0.397632 | − | 0.204993i | ||||
\(286\) | 0.365985 | − | 2.54548i | 0.0216411 | − | 0.150517i | ||||
\(287\) | 17.3955 | − | 17.3166i | 1.02682 | − | 1.02217i | ||||
\(288\) | −0.777268 | + | 1.70198i | −0.0458010 | + | 0.100290i | ||||
\(289\) | −11.5091 | + | 4.60755i | −0.677007 | + | 0.271033i | ||||
\(290\) | −0.0945147 | − | 1.98411i | −0.00555010 | − | 0.116511i | ||||
\(291\) | 5.39706 | − | 5.14608i | 0.316381 | − | 0.301669i | ||||
\(292\) | −19.3140 | + | 15.1887i | −1.13026 | + | 0.888850i | ||||
\(293\) | 13.6167 | + | 15.7145i | 0.795495 | + | 0.918050i | 0.998125 | − | 0.0612054i | \(-0.0194945\pi\) |
−0.202630 | + | 0.979255i | \(0.564949\pi\) | |||||||
\(294\) | −0.307882 | − | 1.06645i | −0.0179560 | − | 0.0621966i | ||||
\(295\) | −8.59537 | + | 9.91958i | −0.500442 | + | 0.577540i | ||||
\(296\) | −1.66487 | − | 1.58745i | −0.0967684 | − | 0.0922685i | ||||
\(297\) | 3.20215 | + | 0.305768i | 0.185808 | + | 0.0177425i | ||||
\(298\) | 1.09303 | − | 1.89319i | 0.0633177 | − | 0.109669i | ||||
\(299\) | 20.4067 | − | 12.9688i | 1.18015 | − | 0.750003i | ||||
\(300\) | 6.44705 | 0.372221 | ||||||||
\(301\) | 1.26305 | + | 18.2421i | 0.0728012 | + | 1.05146i | ||||
\(302\) | 0.0378005 | − | 0.0110992i | 0.00217518 | − | 0.000638689i | ||||
\(303\) | −1.19830 | − | 0.230954i | −0.0688408 | − | 0.0132680i | ||||
\(304\) | −19.6171 | + | 10.1133i | −1.12512 | + | 0.580037i | ||||
\(305\) | 10.2831 | − | 1.98190i | 0.588807 | − | 0.113483i | ||||
\(306\) | −0.267419 | + | 0.210300i | −0.0152873 | + | 0.0120221i | ||||
\(307\) | −13.5783 | − | 3.98694i | −0.774952 | − | 0.227547i | −0.129738 | − | 0.991548i | \(-0.541414\pi\) |
−0.645214 | + | 0.764002i | \(0.723232\pi\) | |||||||
\(308\) | −11.2773 | − | 12.4622i | −0.642583 | − | 0.710100i | ||||
\(309\) | 1.21044 | − | 8.41879i | 0.0688595 | − | 0.478928i | ||||
\(310\) | 0.743049 | − | 0.0709525i | 0.0422023 | − | 0.00402983i | ||||
\(311\) | 2.78137 | + | 3.90589i | 0.157717 | + | 0.221482i | 0.885872 | − | 0.463930i | \(-0.153561\pi\) |
−0.728155 | + | 0.685413i | \(0.759622\pi\) | |||||||
\(312\) | 2.49789 | + | 1.96436i | 0.141415 | + | 0.111210i | ||||
\(313\) | 13.1670 | + | 6.78807i | 0.744244 | + | 0.383684i | 0.788257 | − | 0.615347i | \(-0.210984\pi\) |
−0.0440130 | + | 0.999031i | \(0.514014\pi\) | |||||||
\(314\) | 0.995148 | + | 0.292202i | 0.0561594 | + | 0.0164899i | ||||
\(315\) | 2.57369 | + | 2.35034i | 0.145011 | + | 0.132427i | ||||
\(316\) | −15.9682 | − | 18.4283i | −0.898280 | − | 1.03667i | ||||
\(317\) | −0.683281 | + | 14.3438i | −0.0383769 | + | 0.805629i | 0.894855 | + | 0.446356i | \(0.147278\pi\) |
−0.933232 | + | 0.359273i | \(0.883025\pi\) | |||||||
\(318\) | 0.242549 | + | 0.700798i | 0.0136015 | + | 0.0392988i | ||||
\(319\) | −7.21122 | + | 29.7251i | −0.403751 | + | 1.66428i | ||||
\(320\) | −5.65681 | + | 7.94388i | −0.316225 | + | 0.444076i | ||||
\(321\) | 9.43413 | 0.526562 | ||||||||
\(322\) | −0.253538 | + | 1.99601i | −0.0141291 | + | 0.111233i | ||||
\(323\) | −12.2996 | −0.684370 | ||||||||
\(324\) | −1.14553 | + | 1.60867i | −0.0636405 | + | 0.0893705i | ||||
\(325\) | 3.88033 | − | 15.9949i | 0.215242 | − | 0.887239i | ||||
\(326\) | 0.321853 | + | 0.929934i | 0.0178258 | + | 0.0515043i | ||||
\(327\) | −0.214125 | + | 4.49503i | −0.0118411 | + | 0.248576i | ||||
\(328\) | −3.82925 | − | 4.41920i | −0.211435 | − | 0.244009i | ||||
\(329\) | −3.78719 | + | 1.20116i | −0.208794 | + | 0.0662219i | ||||
\(330\) | −0.644739 | − | 0.189312i | −0.0354917 | − | 0.0104213i | ||||
\(331\) | −24.1722 | − | 12.4616i | −1.32862 | − | 0.684952i | −0.359874 | − | 0.933001i | \(-0.617180\pi\) |
−0.968748 | + | 0.248049i | \(0.920211\pi\) | |||||||
\(332\) | 4.51354 | + | 3.54948i | 0.247712 | + | 0.194803i | ||||
\(333\) | −2.11701 | − | 2.97293i | −0.116012 | − | 0.162915i | ||||
\(334\) | −1.58292 | + | 0.151150i | −0.0866135 | + | 0.00827058i | ||||
\(335\) | 1.80597 | − | 12.5608i | 0.0986709 | − | 0.686271i | ||||
\(336\) | 9.95763 | − | 2.14247i | 0.543234 | − | 0.116881i | ||||
\(337\) | −18.0603 | − | 5.30299i | −0.983809 | − | 0.288872i | −0.250013 | − | 0.968242i | \(-0.580435\pi\) |
−0.733796 | + | 0.679370i | \(0.762253\pi\) | |||||||
\(338\) | 1.54790 | − | 1.21728i | 0.0841947 | − | 0.0662114i | ||||
\(339\) | 14.0908 | − | 2.71577i | 0.765306 | − | 0.147501i | ||||
\(340\) | −4.96105 | + | 2.55760i | −0.269051 | + | 0.138705i | ||||
\(341\) | −11.2863 | − | 2.17525i | −0.611187 | − | 0.117797i | ||||
\(342\) | 0.872261 | − | 0.256119i | 0.0471665 | − | 0.0138493i | ||||
\(343\) | −11.1996 | + | 14.7502i | −0.604720 | + | 0.796439i | ||||
\(344\) | 4.35624 | 0.234872 | ||||||||
\(345\) | −2.59532 | − | 5.76014i | −0.139727 | − | 0.310115i | ||||
\(346\) | 1.60243 | − | 2.77548i | 0.0861470 | − | 0.149211i | ||||
\(347\) | 20.0244 | + | 1.91209i | 1.07496 | + | 0.102647i | 0.617492 | − | 0.786577i | \(-0.288149\pi\) |
0.457472 | + | 0.889224i | \(0.348755\pi\) | |||||||
\(348\) | −13.5907 | − | 12.9587i | −0.728539 | − | 0.694660i | ||||
\(349\) | 10.8046 | − | 12.4692i | 0.578359 | − | 0.667461i | −0.388892 | − | 0.921283i | \(-0.627142\pi\) |
0.967251 | + | 0.253822i | \(0.0816877\pi\) | |||||||
\(350\) | 0.818292 | + | 1.09830i | 0.0437395 | + | 0.0587067i | ||||
\(351\) | 3.30159 | + | 3.81024i | 0.176226 | + | 0.203375i | ||||
\(352\) | −4.73100 | + | 3.72050i | −0.252163 | + | 0.198303i | ||||
\(353\) | 13.7487 | − | 13.1094i | 0.731770 | − | 0.697741i | −0.229513 | − | 0.973306i | \(-0.573713\pi\) |
0.961283 | + | 0.275564i | \(0.0888647\pi\) | |||||||
\(354\) | −0.0751761 | − | 1.57814i | −0.00399557 | − | 0.0838773i | ||||
\(355\) | −8.52200 | + | 3.41169i | −0.452301 | + | 0.181074i | ||||
\(356\) | −9.51980 | + | 20.8455i | −0.504548 | + | 1.10481i | ||||
\(357\) | 5.47950 | + | 1.48158i | 0.290006 | + | 0.0784133i | ||||
\(358\) | −0.536604 | + | 3.73217i | −0.0283604 | + | 0.197251i | ||||
\(359\) | −22.3536 | − | 11.5241i | −1.17978 | − | 0.608218i | −0.247121 | − | 0.968985i | \(-0.579485\pi\) |
−0.932656 | + | 0.360767i | \(0.882515\pi\) | |||||||
\(360\) | 0.600938 | − | 0.572993i | 0.0316722 | − | 0.0301994i | ||||
\(361\) | 12.8735 | + | 5.15376i | 0.677550 | + | 0.271250i | ||||
\(362\) | −0.924967 | + | 2.67252i | −0.0486152 | + | 0.140464i | ||||
\(363\) | −0.549122 | − | 0.352900i | −0.0288215 | − | 0.0185224i | ||||
\(364\) | 0.686717 | − | 26.3336i | 0.0359937 | − | 1.38026i | ||||
\(365\) | 15.7264 | − | 4.61769i | 0.823158 | − | 0.241701i | ||||
\(366\) | −0.731200 | + | 1.02683i | −0.0382205 | + | 0.0536731i | ||||
\(367\) | 7.94823 | − | 13.7667i | 0.414894 | − | 0.718618i | −0.580523 | − | 0.814244i | \(-0.697152\pi\) |
0.995417 | + | 0.0956257i | \(0.0304852\pi\) | |||||||
\(368\) | −18.1112 | − | 3.58606i | −0.944112 | − | 0.186936i | ||||
\(369\) | −4.63861 | − | 8.03431i | −0.241476 | − | 0.418249i | ||||
\(370\) | 0.316712 | + | 0.693503i | 0.0164651 | + | 0.0360535i | ||||
\(371\) | 6.95856 | − | 10.2311i | 0.361270 | − | 0.531173i | ||||
\(372\) | 4.62107 | − | 5.33300i | 0.239591 | − | 0.276503i | ||||
\(373\) | −0.687832 | + | 14.4394i | −0.0356146 | + | 0.747642i | 0.908472 | + | 0.417945i | \(0.137250\pi\) |
−0.944087 | + | 0.329697i | \(0.893053\pi\) | |||||||
\(374\) | −1.07456 | + | 0.207105i | −0.0555644 | + | 0.0107092i | ||||
\(375\) | −10.1075 | − | 4.04643i | −0.521949 | − | 0.208957i | ||||
\(376\) | 0.223150 | + | 0.919836i | 0.0115081 | + | 0.0474369i | ||||
\(377\) | −40.3301 | + | 25.9186i | −2.07710 | + | 1.33487i | ||||
\(378\) | −0.419444 | + | 0.00903129i | −0.0215739 | + | 0.000464520i | ||||
\(379\) | −7.80485 | + | 17.0902i | −0.400908 | + | 0.877867i | 0.596269 | + | 0.802785i | \(0.296649\pi\) |
−0.997177 | + | 0.0750819i | \(0.976078\pi\) | |||||||
\(380\) | 14.8473 | − | 1.41774i | 0.761648 | − | 0.0727286i | ||||
\(381\) | 6.90990 | + | 5.43400i | 0.354005 | + | 0.278392i | ||||
\(382\) | 0.162601 | + | 3.41341i | 0.00831937 | + | 0.174645i | ||||
\(383\) | −1.01425 | − | 4.18079i | −0.0518257 | − | 0.213628i | 0.940011 | − | 0.341145i | \(-0.110815\pi\) |
−0.991836 | + | 0.127516i | \(0.959299\pi\) | |||||||
\(384\) | −0.699621 | − | 4.86597i | −0.0357024 | − | 0.248316i | ||||
\(385\) | 3.89416 | + | 10.5135i | 0.198465 | + | 0.535819i | ||||
\(386\) | 1.60065 | + | 1.02868i | 0.0814712 | + | 0.0523583i | ||||
\(387\) | 6.78647 | + | 1.30798i | 0.344976 | + | 0.0664886i | ||||
\(388\) | −3.47201 | + | 14.3118i | −0.176265 | + | 0.726573i | ||||
\(389\) | −24.7674 | − | 2.36500i | −1.25576 | − | 0.119910i | −0.554116 | − | 0.832440i | \(-0.686944\pi\) |
−0.701642 | + | 0.712529i | \(0.747550\pi\) | |||||||
\(390\) | −0.526591 | − | 0.912082i | −0.0266650 | − | 0.0461851i | ||||
\(391\) | −8.05540 | − | 6.40126i | −0.407379 | − | 0.323726i | ||||
\(392\) | 3.32128 | + | 2.90443i | 0.167750 | + | 0.146696i | ||||
\(393\) | 6.83048 | + | 14.9567i | 0.344552 | + | 0.754464i | ||||
\(394\) | 0.834852 | + | 0.796030i | 0.0420592 | + | 0.0401034i | ||||
\(395\) | 5.32001 | + | 15.3712i | 0.267679 | + | 0.773407i | ||||
\(396\) | −5.64637 | + | 2.91091i | −0.283741 | + | 0.146278i | ||||
\(397\) | 3.57158 | − | 10.3194i | 0.179252 | − | 0.517915i | −0.819201 | − | 0.573506i | \(-0.805583\pi\) |
0.998454 | + | 0.0555905i | \(0.0177041\pi\) | |||||||
\(398\) | 0.144231 | + | 1.00315i | 0.00722963 | + | 0.0502832i | ||||
\(399\) | −12.1219 | − | 9.11739i | −0.606854 | − | 0.456440i | ||||
\(400\) | −10.5727 | + | 6.79468i | −0.528636 | + | 0.339734i | ||||
\(401\) | −27.2589 | + | 10.9128i | −1.36124 | + | 0.544959i | −0.933382 | − | 0.358885i | \(-0.883157\pi\) |
−0.427861 | + | 0.903844i | \(0.640733\pi\) | |||||||
\(402\) | 0.886042 | + | 1.24427i | 0.0441918 | + | 0.0620587i | ||||
\(403\) | −10.4497 | − | 14.6745i | −0.520536 | − | 0.730990i | ||||
\(404\) | 2.23740 | − | 0.895718i | 0.111315 | − | 0.0445636i | ||||
\(405\) | 1.10823 | − | 0.712217i | 0.0550684 | − | 0.0353903i | ||||
\(406\) | 0.482610 | − | 3.96006i | 0.0239516 | − | 0.196535i | ||||
\(407\) | −1.67077 | − | 11.6204i | −0.0828168 | − | 0.576004i | ||||
\(408\) | 0.442282 | − | 1.27789i | 0.0218962 | − | 0.0632649i | ||||
\(409\) | 10.5612 | − | 5.44470i | 0.522220 | − | 0.269223i | −0.176898 | − | 0.984229i | \(-0.556606\pi\) |
0.699118 | + | 0.715006i | \(0.253576\pi\) | |||||||
\(410\) | 0.633848 | + | 1.83138i | 0.0313035 | + | 0.0904457i | ||||
\(411\) | 9.80952 | + | 9.35336i | 0.483868 | + | 0.461367i | ||||
\(412\) | 6.97767 | + | 15.2790i | 0.343765 | + | 0.752741i | ||||
\(413\) | −20.3655 | + | 16.7375i | −1.00212 | + | 0.823600i | ||||
\(414\) | 0.704566 | + | 0.286222i | 0.0346275 | + | 0.0140671i | ||||
\(415\) | −1.91515 | − | 3.31714i | −0.0940111 | − | 0.162832i | ||||
\(416\) | −9.39056 | − | 0.896690i | −0.460410 | − | 0.0439638i | ||||
\(417\) | −3.40797 | + | 14.0479i | −0.166889 | + | 0.687927i | ||||
\(418\) | 2.87142 | + | 0.553421i | 0.140446 | + | 0.0270687i | ||||
\(419\) | 11.7631 | + | 7.55970i | 0.574666 | + | 0.369315i | 0.795461 | − | 0.606005i | \(-0.207229\pi\) |
−0.220795 | + | 0.975320i | \(0.570865\pi\) | |||||||
\(420\) | −6.78524 | − | 1.15685i | −0.331086 | − | 0.0564486i | ||||
\(421\) | −1.79728 | − | 12.5004i | −0.0875943 | − | 0.609232i | −0.985580 | − | 0.169208i | \(-0.945879\pi\) |
0.897986 | − | 0.440024i | \(-0.145030\pi\) | |||||||
\(422\) | 0.327781 | + | 1.35113i | 0.0159561 | + | 0.0657721i | ||||
\(423\) | 0.0714534 | + | 1.49999i | 0.00347418 | + | 0.0729321i | ||||
\(424\) | −2.31704 | − | 1.82214i | −0.112526 | − | 0.0884910i | ||||
\(425\) | −6.97218 | + | 0.665762i | −0.338200 | + | 0.0322942i | ||||
\(426\) | 0.459014 | − | 1.00510i | 0.0222393 | − | 0.0486973i | ||||
\(427\) | 21.0275 | − | 0.452755i | 1.01759 | − | 0.0219104i | ||||
\(428\) | −15.6734 | + | 10.0727i | −0.757604 | + | 0.486882i | ||||
\(429\) | 3.82344 | + | 15.7604i | 0.184598 | + | 0.760922i | ||||
\(430\) | −1.34034 | − | 0.536590i | −0.0646367 | − | 0.0258766i | ||||
\(431\) | 20.8704 | − | 4.02244i | 1.00529 | − | 0.193754i | 0.340070 | − | 0.940400i | \(-0.389549\pi\) |
0.665221 | + | 0.746646i | \(0.268337\pi\) | |||||||
\(432\) | 0.183179 | − | 3.84540i | 0.00881321 | − | 0.185012i | ||||
\(433\) | 1.51928 | − | 1.75334i | 0.0730118 | − | 0.0842601i | −0.718068 | − | 0.695972i | \(-0.754974\pi\) |
0.791080 | + | 0.611712i | \(0.209519\pi\) | |||||||
\(434\) | 1.49504 | + | 0.110342i | 0.0717644 | + | 0.00529658i | ||||
\(435\) | 5.20372 | + | 11.3946i | 0.249499 | + | 0.546327i | ||||
\(436\) | −4.44355 | − | 7.69646i | −0.212807 | − | 0.368593i | ||||
\(437\) | 13.6261 | + | 23.8802i | 0.651827 | + | 1.14234i | ||||
\(438\) | −0.986463 | + | 1.70860i | −0.0471350 | + | 0.0816402i | ||||
\(439\) | −0.632427 | + | 0.888120i | −0.0301841 | + | 0.0423876i | −0.829392 | − | 0.558667i | \(-0.811313\pi\) |
0.799208 | + | 0.601054i | \(0.205252\pi\) | |||||||
\(440\) | 2.56274 | − | 0.752490i | 0.122174 | − | 0.0358735i | ||||
\(441\) | 4.30207 | + | 5.52197i | 0.204860 | + | 0.262951i | ||||
\(442\) | −1.44291 | − | 0.927304i | −0.0686324 | − | 0.0441074i | ||||
\(443\) | 7.99395 | − | 23.0970i | 0.379804 | − | 1.09737i | −0.579494 | − | 0.814977i | \(-0.696750\pi\) |
0.959298 | − | 0.282396i | \(-0.0911291\pi\) | |||||||
\(444\) | 6.69126 | + | 2.67878i | 0.317553 | + | 0.127129i | ||||
\(445\) | 11.0635 | − | 10.5490i | 0.524461 | − | 0.500072i | ||||
\(446\) | 2.20041 | + | 1.13439i | 0.104192 | + | 0.0537148i | ||||
\(447\) | −1.96195 | + | 13.6456i | −0.0927969 | + | 0.645417i | ||||
\(448\) | −13.8808 | + | 13.8179i | −0.655808 | + | 0.652835i | ||||
\(449\) | −8.44765 | + | 18.4978i | −0.398669 | + | 0.872964i | 0.598734 | + | 0.800948i | \(0.295671\pi\) |
−0.997403 | + | 0.0720164i | \(0.977057\pi\) | |||||||
\(450\) | 0.480587 | − | 0.192398i | 0.0226551 | − | 0.00906974i | ||||
\(451\) | −1.41995 | − | 29.8084i | −0.0668627 | − | 1.40362i | ||||
\(452\) | −20.5102 | + | 19.5564i | −0.964717 | + | 0.919856i | ||||
\(453\) | −0.195291 | + | 0.153578i | −0.00917556 | + | 0.00721574i | ||||
\(454\) | 0.761610 | + | 0.878945i | 0.0357441 | + | 0.0412509i | ||||
\(455\) | −6.95398 | + | 16.1377i | −0.326008 | + | 0.756546i | ||||
\(456\) | −2.36633 | + | 2.73089i | −0.110813 | + | 0.127886i | ||||
\(457\) | −0.317149 | − | 0.302401i | −0.0148356 | − | 0.0141457i | 0.682625 | − | 0.730769i | \(-0.260838\pi\) |
−0.697461 | + | 0.716623i | \(0.745687\pi\) | |||||||
\(458\) | −4.51899 | − | 0.431511i | −0.211159 | − | 0.0201632i | ||||
\(459\) | 1.07271 | − | 1.85799i | 0.0500699 | − | 0.0867237i | ||||
\(460\) | 10.4618 | + | 6.79863i | 0.487783 | + | 0.316988i | ||||
\(461\) | 27.5763 | 1.28435 | 0.642177 | − | 0.766556i | \(-0.278031\pi\) | ||||
0.642177 | + | 0.766556i | \(0.278031\pi\) | |||||||
\(462\) | −1.21256 | − | 0.592433i | −0.0564133 | − | 0.0275625i | ||||
\(463\) | −21.1743 | + | 6.21732i | −0.984051 | + | 0.288944i | −0.733896 | − | 0.679262i | \(-0.762300\pi\) |
−0.250156 | + | 0.968206i | \(0.580482\pi\) | |||||||
\(464\) | 35.9453 | + | 6.92789i | 1.66872 | + | 0.321619i | ||||
\(465\) | −4.18392 | + | 2.15696i | −0.194025 | + | 0.100027i | ||||
\(466\) | −3.43291 | + | 0.661639i | −0.159026 | + | 0.0306498i | ||||
\(467\) | −15.8936 | + | 12.4989i | −0.735470 | + | 0.578380i | −0.914077 | − | 0.405540i | \(-0.867083\pi\) |
0.178607 | + | 0.983920i | \(0.442841\pi\) | |||||||
\(468\) | −9.55325 | − | 2.80509i | −0.441599 | − | 0.129665i | ||||
\(469\) | 7.81536 | − | 24.2584i | 0.360880 | − | 1.12015i | ||||
\(470\) | 0.0446438 | − | 0.310504i | 0.00205926 | − | 0.0143225i | ||||
\(471\) | −6.51101 | + | 0.621726i | −0.300012 | + | 0.0286476i | ||||
\(472\) | 3.64276 | + | 5.11553i | 0.167671 | + | 0.235462i | ||||
\(473\) | 17.4755 | + | 13.7428i | 0.803522 | + | 0.631897i | ||||
\(474\) | −1.74028 | − | 0.897175i | −0.0799336 | − | 0.0412086i | ||||
\(475\) | 17.9575 | + | 5.27280i | 0.823948 | + | 0.241933i | ||||
\(476\) | −10.6852 | + | 3.38897i | −0.489757 | + | 0.155333i | ||||
\(477\) | −3.06255 | − | 3.53437i | −0.140225 | − | 0.161828i | ||||
\(478\) | 0.0545571 | − | 1.14529i | 0.00249538 | − | 0.0523846i | ||||
\(479\) | −0.512014 | − | 1.47937i | −0.0233945 | − | 0.0675940i | 0.932699 | − | 0.360656i | \(-0.117447\pi\) |
−0.956094 | + | 0.293062i | \(0.905326\pi\) | |||||||
\(480\) | −0.581113 | + | 2.39538i | −0.0265240 | + | 0.109334i | ||||
\(481\) | 10.6733 | − | 14.9885i | 0.486659 | − | 0.683417i | ||||
\(482\) | 1.70782 | 0.0777889 | ||||||||
\(483\) | −3.19392 | − | 12.2800i | −0.145329 | − | 0.558760i | ||||
\(484\) | 1.28907 | 0.0585942 | ||||||||
\(485\) | 5.69839 | − | 8.00227i | 0.258751 | − | 0.363364i | ||||
\(486\) | −0.0373847 | + | 0.154102i | −0.00169581 | + | 0.00699021i | ||||
\(487\) | 10.0521 | + | 29.0437i | 0.455506 | + | 1.31610i | 0.905985 | + | 0.423310i | \(0.139132\pi\) |
−0.450479 | + | 0.892787i | \(0.648747\pi\) | |||||||
\(488\) | 0.238412 | − | 5.00489i | 0.0107924 | − | 0.226561i | ||||
\(489\) | −4.06390 | − | 4.68999i | −0.183776 | − | 0.212089i | ||||
\(490\) | −0.664139 | − | 1.30275i | −0.0300027 | − | 0.0588522i | ||||
\(491\) | 42.3632 | + | 12.4390i | 1.91183 | + | 0.561363i | 0.980227 | + | 0.197875i | \(0.0634041\pi\) |
0.931599 | + | 0.363487i | \(0.118414\pi\) | |||||||
\(492\) | 16.2845 | + | 8.39524i | 0.734162 | + | 0.378487i | ||||
\(493\) | 16.0359 | + | 12.6108i | 0.722221 | + | 0.567961i | ||||
\(494\) | 2.65858 | + | 3.73345i | 0.119615 | + | 0.167976i | ||||
\(495\) | 4.21837 | − | 0.402806i | 0.189602 | − | 0.0181048i | ||||
\(496\) | −1.95768 | + | 13.6160i | −0.0879026 | + | 0.611376i | ||||
\(497\) | −18.0235 | + | 3.87792i | −0.808466 | + | 0.173949i | ||||
\(498\) | 0.442382 | + | 0.129895i | 0.0198236 | + | 0.00582074i | ||||
\(499\) | −29.4960 | + | 23.1959i | −1.32042 | + | 1.03839i | −0.324715 | + | 0.945812i | \(0.605269\pi\) |
−0.995705 | + | 0.0925787i | \(0.970489\pi\) | |||||||
\(500\) | 21.1125 | − | 4.06909i | 0.944178 | − | 0.181975i | ||||
\(501\) | 8.91302 | − | 4.59498i | 0.398204 | − | 0.205289i | ||||
\(502\) | 1.13728 | + | 0.219193i | 0.0507593 | + | 0.00978306i | ||||
\(503\) | 11.6837 | − | 3.43065i | 0.520951 | − | 0.152965i | −0.0106770 | − | 0.999943i | \(-0.503399\pi\) |
0.531628 | + | 0.846978i | \(0.321580\pi\) | |||||||
\(504\) | 1.38316 | − | 0.931573i | 0.0616107 | − | 0.0414955i | ||||
\(505\) | −1.60765 | −0.0715394 | ||||||||
\(506\) | 1.59256 | + | 1.85687i | 0.0707978 | + | 0.0825477i | ||||
\(507\) | −6.20919 | + | 10.7546i | −0.275760 | + | 0.477630i | ||||
\(508\) | −17.2816 | − | 1.65019i | −0.766747 | − | 0.0732155i | ||||
\(509\) | −1.05995 | − | 1.01066i | −0.0469813 | − | 0.0447966i | 0.666225 | − | 0.745751i | \(-0.267909\pi\) |
−0.713206 | + | 0.700954i | \(0.752758\pi\) | |||||||
\(510\) | −0.293489 | + | 0.338704i | −0.0129959 | + | 0.0149981i | ||||
\(511\) | 32.6940 | − | 3.83373i | 1.44630 | − | 0.169594i | ||||
\(512\) | 7.89511 | + | 9.11144i | 0.348918 | + | 0.402673i | ||||
\(513\) | −4.50641 | + | 3.54388i | −0.198963 | + | 0.156466i | ||||
\(514\) | −3.04556 | + | 2.90393i | −0.134334 | + | 0.128087i | ||||
\(515\) | −0.533136 | − | 11.1919i | −0.0234928 | − | 0.493175i | ||||
\(516\) | −12.6712 | + | 5.07280i | −0.557820 | + | 0.223318i | ||||
\(517\) | −2.00667 | + | 4.39399i | −0.0882532 | + | 0.193248i | ||||
\(518\) | 0.392939 | + | 1.47991i | 0.0172648 | + | 0.0650235i | ||||
\(519\) | −2.87629 | + | 20.0050i | −0.126255 | + | 0.878122i | ||||
\(520\) | 3.72088 | + | 1.91825i | 0.163172 | + | 0.0841208i | ||||
\(521\) | −26.0864 | + | 24.8733i | −1.14287 | + | 1.08972i | −0.147951 | + | 0.988995i | \(0.547268\pi\) |
−0.994914 | + | 0.100726i | \(0.967884\pi\) | |||||||
\(522\) | −1.39983 | − | 0.560406i | −0.0612688 | − | 0.0245283i | ||||
\(523\) | 5.19348 | − | 15.0056i | 0.227095 | − | 0.656148i | −0.772677 | − | 0.634799i | \(-0.781083\pi\) |
0.999772 | − | 0.0213487i | \(-0.00679603\pi\) | |||||||
\(524\) | −27.3169 | − | 17.5555i | −1.19334 | − | 0.766916i | ||||
\(525\) | −7.36495 | − | 4.51215i | −0.321433 | − | 0.196926i | ||||
\(526\) | 1.76949 | − | 0.519568i | 0.0771533 | − | 0.0226543i | ||||
\(527\) | −4.44675 | + | 6.24459i | −0.193703 | + | 0.272018i | ||||
\(528\) | 6.19179 | − | 10.7245i | 0.269463 | − | 0.466724i | ||||
\(529\) | −3.50411 | + | 22.7315i | −0.152353 | + | 0.988326i | ||||
\(530\) | 0.488466 | + | 0.846048i | 0.0212176 | + | 0.0367500i | ||||
\(531\) | 4.13899 | + | 9.06312i | 0.179617 | + | 0.393306i | ||||
\(532\) | 29.8733 | + | 2.20480i | 1.29517 | + | 0.0955903i | ||||
\(533\) | 30.6296 | − | 35.3484i | 1.32671 | − | 1.53111i | ||||
\(534\) | −0.0875545 | + | 1.83800i | −0.00378885 | + | 0.0795378i | ||||
\(535\) | 12.2035 | − | 2.35204i | 0.527604 | − | 0.101687i | ||||
\(536\) | −5.63670 | − | 2.25660i | −0.243469 | − | 0.0974701i | ||||
\(537\) | −5.60591 | − | 23.1079i | −0.241913 | − | 0.997178i | ||||
\(538\) | −2.00610 | + | 1.28924i | −0.0864890 | + | 0.0555831i | ||||
\(539\) | 4.16087 | + | 22.1292i | 0.179221 | + | 0.953173i | ||||
\(540\) | −1.08074 | + | 2.36649i | −0.0465076 | + | 0.101837i | ||||
\(541\) | 36.1208 | − | 3.44912i | 1.55295 | − | 0.148289i | 0.716994 | − | 0.697079i | \(-0.245517\pi\) |
0.835960 | + | 0.548790i | \(0.184911\pi\) | |||||||
\(542\) | 0.970848 | + | 0.763483i | 0.0417015 | + | 0.0327944i | ||||
\(543\) | −0.848602 | − | 17.8144i | −0.0364170 | − | 0.764487i | ||||
\(544\) | 0.946390 | + | 3.90107i | 0.0405762 | + | 0.167257i | ||||
\(545\) | 0.843682 | + | 5.86793i | 0.0361393 | + | 0.251355i | ||||
\(546\) | −0.734679 | − | 1.98350i | −0.0314413 | − | 0.0848859i | ||||
\(547\) | −25.4624 | − | 16.3637i | −1.08870 | − | 0.699662i | −0.132145 | − | 0.991230i | \(-0.542187\pi\) |
−0.956550 | + | 0.291568i | \(0.905823\pi\) | |||||||
\(548\) | −26.2835 | − | 5.06574i | −1.12278 | − | 0.216398i | ||||
\(549\) | 1.87416 | − | 7.72541i | 0.0799874 | − | 0.329713i | ||||
\(550\) | 1.65765 | + | 0.158287i | 0.0706826 | + | 0.00674937i | ||||
\(551\) | −27.2569 | − | 47.2103i | −1.16118 | − | 2.01123i | ||||
\(552\) | −2.97105 | + | 0.557002i | −0.126456 | + | 0.0237076i | ||||
\(553\) | 5.34411 | + | 32.2277i | 0.227254 | + | 1.37046i | ||||
\(554\) | −0.396564 | − | 0.868354i | −0.0168484 | − | 0.0368928i | ||||
\(555\) | −3.47965 | − | 3.31784i | −0.147703 | − | 0.140834i | ||||
\(556\) | −9.33687 | − | 26.9771i | −0.395972 | − | 1.14408i | ||||
\(557\) | −18.9164 | + | 9.75207i | −0.801512 | + | 0.413208i | −0.809763 | − | 0.586758i | \(-0.800404\pi\) |
0.00825024 | + | 0.999966i | \(0.497374\pi\) | |||||||
\(558\) | 0.185320 | − | 0.535448i | 0.00784523 | − | 0.0226673i | ||||
\(559\) | 4.95893 | + | 34.4901i | 0.209740 | + | 1.45878i | ||||
\(560\) | 12.3466 | − | 5.25395i | 0.521737 | − | 0.222020i | ||||
\(561\) | 5.80568 | − | 3.73108i | 0.245116 | − | 0.157526i | ||||
\(562\) | −1.68859 | + | 0.676009i | −0.0712288 | + | 0.0285157i | ||||
\(563\) | −14.4317 | − | 20.2665i | −0.608224 | − | 0.854131i | 0.389537 | − | 0.921011i | \(-0.372635\pi\) |
−0.997761 | + | 0.0668798i | \(0.978696\pi\) | |||||||
\(564\) | −1.72023 | − | 2.41573i | −0.0724348 | − | 0.101720i | ||||
\(565\) | 17.5501 | − | 7.02598i | 0.738336 | − | 0.295585i | ||||
\(566\) | 1.96307 | − | 1.26159i | 0.0825140 | − | 0.0530285i | ||||
\(567\) | 2.43449 | − | 1.03597i | 0.102239 | − | 0.0435068i | ||||
\(568\) | 0.625051 | + | 4.34732i | 0.0262266 | + | 0.182410i | ||||
\(569\) | −6.37123 | + | 18.4085i | −0.267096 | + | 0.771723i | 0.729086 | + | 0.684422i | \(0.239945\pi\) |
−0.996182 | + | 0.0873010i | \(0.972176\pi\) | |||||||
\(570\) | 1.06446 | − | 0.548767i | 0.0445853 | − | 0.0229853i | ||||
\(571\) | 4.25526 | + | 12.2948i | 0.178077 | + | 0.514520i | 0.998348 | − | 0.0574554i | \(-0.0182987\pi\) |
−0.820271 | + | 0.571975i | \(0.806177\pi\) | |||||||
\(572\) | −23.1793 | − | 22.1014i | −0.969176 | − | 0.924108i | ||||
\(573\) | −8.95233 | − | 19.6029i | −0.373989 | − | 0.818922i | ||||
\(574\) | 0.636719 | + | 3.83975i | 0.0265761 | + | 0.160268i | ||||
\(575\) | 9.01673 | + | 12.7992i | 0.376024 | + | 0.533763i | ||||
\(576\) | 3.70141 | + | 6.41104i | 0.154226 | + | 0.267126i | ||||
\(577\) | −14.6274 | − | 1.39675i | −0.608946 | − | 0.0581473i | −0.213972 | − | 0.976840i | \(-0.568640\pi\) |
−0.394974 | + | 0.918692i | \(0.629246\pi\) | |||||||
\(578\) | 0.463464 | − | 1.91042i | 0.0192776 | − | 0.0794632i | ||||
\(579\) | −11.7821 | − | 2.27082i | −0.489649 | − | 0.0943722i | ||||
\(580\) | −20.8110 | − | 13.3744i | −0.864131 | − | 0.555343i | ||||
\(581\) | −2.67194 | − | 7.21376i | −0.110851 | − | 0.299277i | ||||
\(582\) | 0.168288 | + | 1.17047i | 0.00697578 | + | 0.0485176i | ||||
\(583\) | −3.54663 | − | 14.6194i | −0.146886 | − | 0.605473i | ||||
\(584\) | −0.373142 | − | 7.83321i | −0.0154407 | − | 0.324141i | ||||
\(585\) | 5.22071 | + | 4.10561i | 0.215850 | + | 0.169746i | ||||
\(586\) | −3.28229 | + | 0.313421i | −0.135590 | + | 0.0129473i | ||||
\(587\) | −10.3794 | + | 22.7277i | −0.428403 | + | 0.938071i | 0.565181 | + | 0.824967i | \(0.308806\pi\) |
−0.993583 | + | 0.113103i | \(0.963921\pi\) | |||||||
\(588\) | −13.0430 | − | 4.58069i | −0.537884 | − | 0.188904i | ||||
\(589\) | 17.2331 | − | 11.0751i | 0.710078 | − | 0.456340i | ||||
\(590\) | −0.490693 | − | 2.02266i | −0.0202015 | − | 0.0832717i | ||||
\(591\) | −6.75343 | − | 2.70367i | −0.277799 | − | 0.111214i | ||||
\(592\) | −13.7964 | + | 2.65904i | −0.567030 | + | 0.109286i | ||||
\(593\) | 1.32891 | − | 27.8972i | 0.0545717 | − | 1.14560i | −0.791027 | − | 0.611781i | \(-0.790453\pi\) |
0.845599 | − | 0.533819i | \(-0.179244\pi\) | |||||||
\(594\) | −0.334032 | + | 0.385493i | −0.0137055 | + | 0.0158170i | ||||
\(595\) | 7.45738 | + | 0.550393i | 0.305723 | + | 0.0225639i | ||||
\(596\) | −11.3098 | − | 24.7650i | −0.463267 | − | 1.01441i | ||||
\(597\) | −3.19559 | − | 5.53493i | −0.130787 | − | 0.226529i | ||||
\(598\) | −0.201865 | + | 3.82879i | −0.00825488 | + | 0.156571i | ||||
\(599\) | −7.82433 | + | 13.5521i | −0.319694 | + | 0.553726i | −0.980424 | − | 0.196898i | \(-0.936913\pi\) |
0.660730 | + | 0.750623i | \(0.270247\pi\) | |||||||
\(600\) | −1.19356 | + | 1.67612i | −0.0487269 | + | 0.0684273i | ||||
\(601\) | −17.5689 | + | 5.15870i | −0.716651 | + | 0.210428i | −0.619675 | − | 0.784859i | \(-0.712735\pi\) |
−0.0969766 | + | 0.995287i | \(0.530917\pi\) | |||||||
\(602\) | −2.47249 | − | 1.51477i | −0.100771 | − | 0.0617375i | ||||
\(603\) | −8.10372 | − | 5.20795i | −0.330009 | − | 0.212084i | ||||
\(604\) | 0.160473 | − | 0.463657i | 0.00652957 | − | 0.0188660i | ||||
\(605\) | −0.798299 | − | 0.319591i | −0.0324555 | − | 0.0129932i | ||||
\(606\) | 0.140053 | − | 0.133540i | 0.00568927 | − | 0.00542470i | ||||
\(607\) | −12.6838 | − | 6.53896i | −0.514820 | − | 0.265408i | 0.181180 | − | 0.983450i | \(-0.442008\pi\) |
−0.696000 | + | 0.718042i | \(0.745039\pi\) | |||||||
\(608\) | 1.52657 | − | 10.6175i | 0.0619107 | − | 0.430598i | ||||
\(609\) | 6.45616 | + | 24.3155i | 0.261617 | + | 0.985316i | ||||
\(610\) | −0.689845 | + | 1.51055i | −0.0279310 | + | 0.0611604i | ||||
\(611\) | −7.02870 | + | 2.81387i | −0.284351 | + | 0.113837i | ||||
\(612\) | 0.201600 | + | 4.23211i | 0.00814920 | + | 0.171073i | ||||
\(613\) | −7.97647 | + | 7.60555i | −0.322166 | + | 0.307185i | −0.833852 | − | 0.551987i | \(-0.813870\pi\) |
0.511686 | + | 0.859173i | \(0.329021\pi\) | |||||||
\(614\) | 1.76393 | − | 1.38717i | 0.0711863 | − | 0.0559815i | ||||
\(615\) | −8.00332 | − | 9.23633i | −0.322725 | − | 0.372445i | ||||
\(616\) | 5.32775 | − | 0.624737i | 0.214661 | − | 0.0251714i | ||||
\(617\) | 18.2538 | − | 21.0660i | 0.734869 | − | 0.848084i | −0.258142 | − | 0.966107i | \(-0.583110\pi\) |
0.993011 | + | 0.118023i | \(0.0376556\pi\) | |||||||
\(618\) | 0.976109 | + | 0.930718i | 0.0392648 | + | 0.0374390i | ||||
\(619\) | −26.1521 | − | 2.49722i | −1.05114 | − | 0.100372i | −0.444843 | − | 0.895609i | \(-0.646740\pi\) |
−0.606299 | + | 0.795237i | \(0.707346\pi\) | |||||||
\(620\) | 4.64801 | − | 8.05059i | 0.186669 | − | 0.323320i | ||||
\(621\) | −4.79577 | − | 0.0243355i | −0.192448 | − | 0.000976551i | ||||
\(622\) | −0.760351 | −0.0304873 | ||||||||
\(623\) | 25.4644 | − | 17.1506i | 1.02021 | − | 0.687125i | ||||
\(624\) | 18.6230 | − | 5.46821i | 0.745517 | − | 0.218903i | ||||
\(625\) | 1.94449 | + | 0.374770i | 0.0777796 | + | 0.0149908i | ||||
\(626\) | −2.08792 | + | 1.07640i | −0.0834500 | + | 0.0430215i | ||||
\(627\) | −18.1080 | + | 3.49004i | −0.723165 | + | 0.139379i | ||||
\(628\) | 10.1533 | − | 7.98463i | 0.405160 | − | 0.318622i | ||||
\(629\) | −7.51291 | − | 2.20599i | −0.299559 | − | 0.0879585i | ||||
\(630\) | −0.540321 | + | 0.116255i | −0.0215269 | + | 0.00463170i | ||||
\(631\) | −0.157015 | + | 1.09206i | −0.00625067 | + | 0.0434744i | −0.992708 | − | 0.120543i | \(-0.961536\pi\) |
0.986457 | + | 0.164018i | \(0.0524454\pi\) | |||||||
\(632\) | 7.74725 | − | 0.739773i | 0.308169 | − | 0.0294266i | ||||
\(633\) | −5.08581 | − | 7.14202i | −0.202143 | − | 0.283870i | ||||
\(634\) | −1.78993 | − | 1.40761i | −0.0710870 | − | 0.0559035i | ||||
\(635\) | 10.2931 | + | 5.30644i | 0.408468 | + | 0.210580i | ||||
\(636\) | 8.86159 | + | 2.60200i | 0.351385 | + | 0.103176i | ||||
\(637\) | −19.2148 | + | 29.6022i | −0.761318 | + | 1.17288i | ||||
\(638\) | −3.17626 | − | 3.66560i | −0.125749 | − | 0.145122i | ||||
\(639\) | −0.331558 | + | 6.96026i | −0.0131162 | + | 0.275344i | ||||
\(640\) | −2.11814 | − | 6.11995i | −0.0837267 | − | 0.241912i | ||||
\(641\) | −6.79338 | + | 28.0027i | −0.268322 | + | 1.10604i | 0.664955 | + | 0.746883i | \(0.268451\pi\) |
−0.933277 | + | 0.359156i | \(0.883065\pi\) | |||||||
\(642\) | −0.867758 | + | 1.21860i | −0.0342477 | + | 0.0480941i | ||||
\(643\) | 16.5939 | 0.654401 | 0.327201 | − | 0.944955i | \(-0.393895\pi\) | ||||
0.327201 | + | 0.944955i | \(0.393895\pi\) | |||||||
\(644\) | 18.4175 | + | 16.9913i | 0.725749 | + | 0.669553i | ||||
\(645\) | 9.10474 | 0.358499 | ||||||||
\(646\) | 1.13133 | − | 1.58873i | 0.0445115 | − | 0.0625077i | ||||
\(647\) | −0.550711 | + | 2.27006i | −0.0216507 | + | 0.0892454i | −0.981612 | − | 0.190888i | \(-0.938863\pi\) |
0.959961 | + | 0.280133i | \(0.0903786\pi\) | |||||||
\(648\) | −0.206151 | − | 0.595634i | −0.00809838 | − | 0.0233987i | ||||
\(649\) | −1.52499 | + | 32.0134i | −0.0598610 | + | 1.25664i | ||||
\(650\) | 1.70913 | + | 1.97244i | 0.0670376 | + | 0.0773655i | ||||
\(651\) | −9.01144 | + | 2.85810i | −0.353186 | + | 0.112018i | ||||
\(652\) | 11.7590 | + | 3.45276i | 0.460519 | + | 0.135220i | ||||
\(653\) | −15.2057 | − | 7.83906i | −0.595044 | − | 0.306766i | 0.134271 | − | 0.990945i | \(-0.457131\pi\) |
−0.729315 | + | 0.684178i | \(0.760161\pi\) | |||||||
\(654\) | −0.560923 | − | 0.441114i | −0.0219338 | − | 0.0172489i | ||||
\(655\) | 12.5644 | + | 17.6443i | 0.490934 | + | 0.689420i | ||||
\(656\) | −35.5534 | + | 3.39494i | −1.38813 | + | 0.132550i | ||||
\(657\) | 1.77066 | − | 12.3152i | 0.0690800 | − | 0.480462i | ||||
\(658\) | 0.193196 | − | 0.599670i | 0.00753157 | − | 0.0233776i | ||||
\(659\) | −11.8268 | − | 3.47267i | −0.460708 | − | 0.135276i | 0.0431386 | − | 0.999069i | \(-0.486264\pi\) |
−0.503847 | + | 0.863793i | \(0.668082\pi\) | |||||||
\(660\) | −6.57814 | + | 5.17311i | −0.256054 | + | 0.201363i | ||||
\(661\) | 44.1379 | − | 8.50688i | 1.71676 | − | 0.330879i | 0.766481 | − | 0.642267i | \(-0.222006\pi\) |
0.950283 | + | 0.311387i | \(0.100794\pi\) | |||||||
\(662\) | 3.83302 | − | 1.97606i | 0.148975 | − | 0.0768018i | ||||
\(663\) | 10.6210 | + | 2.04704i | 0.412487 | + | 0.0795004i | ||||
\(664\) | −1.75841 | + | 0.516314i | −0.0682394 | + | 0.0200369i | ||||
\(665\) | −17.9534 | − | 8.77167i | −0.696202 | − | 0.340151i | ||||
\(666\) | 0.578734 | 0.0224255 | ||||||||
\(667\) | 6.71893 | − | 45.1052i | 0.260158 | − | 1.74648i | ||||
\(668\) | −9.90168 | + | 17.1502i | −0.383107 | + | 0.663561i | ||||
\(669\) | −15.5412 | − | 1.48400i | −0.600857 | − | 0.0573749i | ||||
\(670\) | 1.45635 | + | 1.38863i | 0.0562638 | + | 0.0536474i | ||||
\(671\) | 16.7456 | − | 19.3255i | 0.646457 | − | 0.746052i | ||||
\(672\) | −1.95905 | + | 4.54624i | −0.0755719 | + | 0.175375i | ||||
\(673\) | −5.46477 | − | 6.30668i | −0.210651 | − | 0.243104i | 0.640585 | − | 0.767887i | \(-0.278692\pi\) |
−0.851236 | + | 0.524783i | \(0.824147\pi\) | |||||||
\(674\) | 2.34618 | − | 1.84506i | 0.0903716 | − | 0.0710690i | ||||
\(675\) | −2.36268 | + | 2.25281i | −0.0909396 | + | 0.0867108i | ||||
\(676\) | −1.16692 | − | 24.4967i | −0.0448816 | − | 0.942181i | ||||
\(677\) | 21.3685 | − | 8.55468i | 0.821260 | − | 0.328783i | 0.0773007 | − | 0.997008i | \(-0.475370\pi\) |
0.743959 | + | 0.668225i | \(0.232946\pi\) | |||||||
\(678\) | −0.945286 | + | 2.06989i | −0.0363035 | + | 0.0794936i | ||||
\(679\) | 13.9829 | − | 13.9195i | 0.536613 | − | 0.534181i | ||||
\(680\) | 0.253521 | − | 1.76328i | 0.00972210 | − | 0.0676187i | ||||
\(681\) | −6.51897 | − | 3.36076i | −0.249807 | − | 0.128785i | ||||
\(682\) | 1.31910 | − | 1.25776i | 0.0505108 | − | 0.0481619i | ||||
\(683\) | −18.0632 | − | 7.23142i | −0.691170 | − | 0.276703i | −0.000633071 | − | 1.00000i | \(-0.500202\pi\) |
−0.690537 | + | 0.723297i | \(0.742626\pi\) | |||||||
\(684\) | 3.70298 | − | 10.6991i | 0.141587 | − | 0.409089i | ||||
\(685\) | 15.0210 | + | 9.65342i | 0.573923 | + | 0.368838i | ||||
\(686\) | −0.875129 | − | 2.80337i | −0.0334126 | − | 0.107033i | ||||
\(687\) | 27.4681 | − | 8.06535i | 1.04797 | − | 0.307712i | ||||
\(688\) | 15.4336 | − | 21.6735i | 0.588402 | − | 0.826295i | ||||
\(689\) | 11.7890 | − | 20.4192i | 0.449127 | − | 0.777910i | ||||
\(690\) | 0.982750 | + | 0.194587i | 0.0374126 | + | 0.00740779i | ||||
\(691\) | −16.7534 | − | 29.0178i | −0.637330 | − | 1.10389i | −0.986016 | − | 0.166648i | \(-0.946705\pi\) |
0.348686 | − | 0.937239i | \(-0.386628\pi\) | |||||||
\(692\) | −16.5806 | − | 36.3064i | −0.630298 | − | 1.38016i | ||||
\(693\) | 8.48754 | + | 0.626424i | 0.322415 | + | 0.0237959i | ||||
\(694\) | −2.08884 | + | 2.41065i | −0.0792912 | + | 0.0915069i | ||||
\(695\) | −0.906095 | + | 19.0213i | −0.0343701 | + | 0.721518i | ||||
\(696\) | 5.88512 | − | 1.13426i | 0.223075 | − | 0.0429942i | ||||
\(697\) | −18.4779 | − | 7.39742i | −0.699899 | − | 0.280197i | ||||
\(698\) | 0.616815 | + | 2.54255i | 0.0233468 | + | 0.0962369i | ||||
\(699\) | 18.5474 | − | 11.9197i | 0.701527 | − | 0.450844i | ||||
\(700\) | 17.0533 | − | 0.367185i | 0.644556 | − | 0.0138783i | ||||
\(701\) | 14.0351 | − | 30.7327i | 0.530100 | − | 1.16076i | −0.435372 | − | 0.900251i | \(-0.643383\pi\) |
0.965472 | − | 0.260507i | \(-0.0838897\pi\) | |||||||
\(702\) | −0.795846 | + | 0.0759941i | −0.0300373 | + | 0.00286821i | ||||
\(703\) | 16.4469 | + | 12.9340i | 0.620305 | + | 0.487814i | ||||
\(704\) | 1.13306 | + | 23.7858i | 0.0427037 | + | 0.896462i | ||||
\(705\) | 0.466394 | + | 1.92250i | 0.0175654 | + | 0.0724056i | ||||
\(706\) | 0.428706 | + | 2.98171i | 0.0161346 | + | 0.112218i | ||||
\(707\) | −3.18284 | − | 0.542658i | −0.119703 | − | 0.0204088i | ||||
\(708\) | −16.5529 | − | 10.6379i | −0.622096 | − | 0.399797i | ||||
\(709\) | −29.1568 | − | 5.61952i | −1.09501 | − | 0.211045i | −0.390402 | − | 0.920645i | \(-0.627664\pi\) |
−0.704606 | + | 0.709599i | \(0.748876\pi\) | |||||||
\(710\) | 0.343175 | − | 1.41459i | 0.0128791 | − | 0.0530885i | ||||
\(711\) | 12.2914 | + | 1.17368i | 0.460962 | + | 0.0440165i | ||||
\(712\) | −3.65702 | − | 6.33415i | −0.137053 | − | 0.237382i | ||||
\(713\) | 17.0504 | + | 1.71547i | 0.638544 | + | 0.0642449i | ||||
\(714\) | −0.695382 | + | 0.571504i | −0.0260240 | + | 0.0213880i | ||||
\(715\) | 8.87508 | + | 19.4337i | 0.331909 | + | 0.726780i | ||||
\(716\) | 33.9854 | + | 32.4050i | 1.27009 | + | 1.21103i | ||||
\(717\) | 2.36495 | + | 6.83306i | 0.0883205 | + | 0.255185i | ||||
\(718\) | 3.54465 | − | 1.82739i | 0.132285 | − | 0.0681978i | ||||
\(719\) | −0.213482 | + | 0.616815i | −0.00796153 | + | 0.0230033i | −0.948912 | − | 0.315542i | \(-0.897814\pi\) |
0.940950 | + | 0.338545i | \(0.109935\pi\) | |||||||
\(720\) | −0.721751 | − | 5.01989i | −0.0268981 | − | 0.187080i | ||||
\(721\) | 2.72230 | − | 22.3378i | 0.101384 | − | 0.831904i | ||||
\(722\) | −1.84981 | + | 1.18880i | −0.0688430 | + | 0.0442427i | ||||
\(723\) | −9.99851 | + | 4.00280i | −0.371849 | + | 0.148866i | ||||
\(724\) | 20.4300 | + | 28.6899i | 0.759275 | + | 1.06625i | ||||
\(725\) | −18.0063 | − | 25.2863i | −0.668738 | − | 0.939111i | ||||
\(726\) | 0.0960923 | − | 0.0384695i | 0.00356632 | − | 0.00142774i | ||||
\(727\) | 26.2805 | − | 16.8895i | 0.974692 | − | 0.626396i | 0.0466652 | − | 0.998911i | \(-0.485141\pi\) |
0.928026 | + | 0.372514i | \(0.121504\pi\) | |||||||
\(728\) | 6.71914 | + | 5.05374i | 0.249028 | + | 0.187304i | ||||
\(729\) | −0.142315 | − | 0.989821i | −0.00527092 | − | 0.0366601i | ||||
\(730\) | −0.850065 | + | 2.45610i | −0.0314623 | + | 0.0909044i | ||||
\(731\) | 13.1795 | − | 6.79450i | 0.487461 | − | 0.251304i | ||||
\(732\) | 5.13467 | + | 14.8357i | 0.189783 | + | 0.548342i | ||||
\(733\) | 33.4903 | + | 31.9329i | 1.23699 | + | 1.17947i | 0.976856 | + | 0.213897i | \(0.0686156\pi\) |
0.260135 | + | 0.965572i | \(0.416233\pi\) | |||||||
\(734\) | 1.04715 | + | 2.29294i | 0.0386510 | + | 0.0846339i | ||||
\(735\) | 6.94163 | + | 6.07040i | 0.256046 | + | 0.223910i | ||||
\(736\) | 6.52563 | − | 6.15926i | 0.240538 | − | 0.227033i | ||||
\(737\) | −15.4932 | − | 26.8350i | −0.570698 | − | 0.988478i | ||||
\(738\) | 1.46444 | + | 0.139838i | 0.0539070 | + | 0.00514749i | ||||
\(739\) | −4.86963 | + | 20.0729i | −0.179132 | + | 0.738393i | 0.809384 | + | 0.587280i | \(0.199801\pi\) |
−0.988516 | + | 0.151114i | \(0.951714\pi\) | |||||||
\(740\) | 9.32334 | + | 1.79693i | 0.342733 | + | 0.0660563i | ||||
\(741\) | −24.3153 | − | 15.6265i | −0.893244 | − | 0.574053i | ||||
\(742\) | 0.681488 | + | 1.83989i | 0.0250182 | + | 0.0675446i | ||||
\(743\) | 4.14829 | + | 28.8520i | 0.152186 | + | 1.05848i | 0.912546 | + | 0.408975i | \(0.134114\pi\) |
−0.760360 | + | 0.649502i | \(0.774977\pi\) | |||||||
\(744\) | 0.530975 | + | 2.18871i | 0.0194665 | + | 0.0802420i | ||||
\(745\) | 0.864137 | + | 18.1405i | 0.0316595 | + | 0.664615i | ||||
\(746\) | −1.80185 | − | 1.41699i | −0.0659704 | − | 0.0518797i | ||||
\(747\) | −2.89440 | + | 0.276382i | −0.105901 | + | 0.0101123i | ||||
\(748\) | −5.66166 | + | 12.3973i | −0.207011 | + | 0.453290i | ||||
\(749\) | 24.9546 | − | 0.537311i | 0.911820 | − | 0.0196329i | ||||
\(750\) | 1.45237 | − | 0.933380i | 0.0530330 | − | 0.0340822i | ||||
\(751\) | −4.20736 | − | 17.3430i | −0.153529 | − | 0.632854i | −0.995618 | − | 0.0935157i | \(-0.970189\pi\) |
0.842089 | − | 0.539339i | \(-0.181326\pi\) | |||||||
\(752\) | 5.36704 | + | 2.14864i | 0.195716 | + | 0.0783528i | ||||
\(753\) | −7.17202 | + | 1.38229i | −0.261363 | + | 0.0503736i | ||||
\(754\) | 0.361718 | − | 7.59339i | 0.0131730 | − | 0.276535i | ||||
\(755\) | −0.214330 | + | 0.247350i | −0.00780025 | + | 0.00900197i | ||||
\(756\) | −2.93846 | + | 4.32040i | −0.106871 | + | 0.157131i | ||||
\(757\) | 8.19877 | + | 17.9528i | 0.297989 | + | 0.652506i | 0.998106 | − | 0.0615232i | \(-0.0195958\pi\) |
−0.700116 | + | 0.714029i | \(0.746869\pi\) | |||||||
\(758\) | −1.48963 | − | 2.58012i | −0.0541058 | − | 0.0937140i | ||||
\(759\) | −13.6759 | − | 7.13847i | −0.496402 | − | 0.259110i | ||||
\(760\) | −2.38012 | + | 4.12249i | −0.0863361 | + | 0.149539i | ||||
\(761\) | −5.41529 | + | 7.60471i | −0.196304 | + | 0.275671i | −0.900982 | − | 0.433857i | \(-0.857152\pi\) |
0.704678 | + | 0.709528i | \(0.251092\pi\) | |||||||
\(762\) | −1.33748 | + | 0.392720i | −0.0484518 | + | 0.0142267i | ||||
\(763\) | −0.310380 | + | 11.9022i | −0.0112365 | + | 0.430888i | ||||
\(764\) | 35.8027 | + | 23.0090i | 1.29530 | + | 0.832437i | ||||
\(765\) | 0.924389 | − | 2.67085i | 0.0334214 | − | 0.0965647i | ||||
\(766\) | 0.633319 | + | 0.253543i | 0.0228828 | + | 0.00916087i | ||||
\(767\) | −36.3551 | + | 34.6645i | −1.31271 | + | 1.25166i | ||||
\(768\) | −12.4669 | − | 6.42714i | −0.449861 | − | 0.231919i | ||||
\(769\) | 1.52559 | − | 10.6107i | 0.0550142 | − | 0.382632i | −0.943649 | − | 0.330947i | \(-0.892632\pi\) |
0.998663 | − | 0.0516850i | \(-0.0164592\pi\) | |||||||
\(770\) | −1.71621 | − | 0.464037i | −0.0618478 | − | 0.0167227i | ||||
\(771\) | 11.0241 | − | 24.1395i | 0.397024 | − | 0.869362i | ||||
\(772\) | 21.9988 | − | 8.80701i | 0.791756 | − | 0.316971i | ||||
\(773\) | −0.724444 | − | 15.2079i | −0.0260564 | − | 0.546992i | −0.973724 | − | 0.227732i | \(-0.926869\pi\) |
0.947667 | − | 0.319260i | \(-0.103434\pi\) | |||||||
\(774\) | −0.793175 | + | 0.756291i | −0.0285101 | + | 0.0271843i | ||||
\(775\) | 9.16931 | − | 7.21082i | 0.329371 | − | 0.259020i | ||||
\(776\) | −3.07804 | − | 3.55225i | −0.110495 | − | 0.127518i | ||||
\(777\) | −5.76911 | − | 7.74323i | −0.206966 | − | 0.277787i | ||||
\(778\) | 2.58361 | − | 2.98164i | 0.0926269 | − | 0.106897i | ||||
\(779\) | 38.4924 | + | 36.7025i | 1.37913 | + | 1.31500i | ||||
\(780\) | −13.0569 | − | 1.24679i | −0.467514 | − | 0.0446421i | ||||
\(781\) | −11.2073 | + | 19.4116i | −0.401028 | + | 0.694601i | ||||
\(782\) | 1.56778 | − | 0.451714i | 0.0560639 | − | 0.0161533i | ||||
\(783\) | 9.50885 | 0.339819 | ||||||||
\(784\) | 26.2173 | − | 6.23426i | 0.936332 | − | 0.222652i | ||||
\(785\) | −8.26732 | + | 2.42750i | −0.295073 | + | 0.0866413i | ||||
\(786\) | −2.56021 | − | 0.493440i | −0.0913196 | − | 0.0176004i | ||||
\(787\) | −41.1786 | + | 21.2290i | −1.46786 | + | 0.756733i | −0.992406 | − | 0.123008i | \(-0.960746\pi\) |
−0.475452 | + | 0.879742i | \(0.657715\pi\) | |||||||
\(788\) | 14.1065 | − | 2.71881i | 0.502523 | − | 0.0968535i | ||||
\(789\) | −9.14179 | + | 7.18919i | −0.325456 | + | 0.255942i | ||||
\(790\) | −2.47481 | − | 0.726671i | −0.0880499 | − | 0.0258538i | ||||
\(791\) | 37.1174 | − | 7.98612i | 1.31974 | − | 0.283954i | ||||
\(792\) | 0.288543 | − | 2.00686i | 0.0102529 | − | 0.0713106i | ||||
\(793\) | 39.8972 | − | 3.80972i | 1.41679 | − | 0.135287i | ||||
\(794\) | 1.00443 | + | 1.41052i | 0.0356458 | + | 0.0500575i | ||||
\(795\) | −4.84273 | − | 3.80836i | −0.171754 | − | 0.135069i | ||||
\(796\) | 11.2186 | + | 5.78358i | 0.397632 | + | 0.204994i | ||||
\(797\) | −32.2774 | − | 9.47751i | −1.14333 | − | 0.335711i | −0.345393 | − | 0.938458i | \(-0.612254\pi\) |
−0.797932 | + | 0.602747i | \(0.794073\pi\) | |||||||
\(798\) | 2.29266 | − | 0.727149i | 0.0811594 | − | 0.0257408i | ||||
\(799\) | 2.10981 | + | 2.43485i | 0.0746397 | + | 0.0861388i | ||||
\(800\) | 0.290641 | − | 6.10130i | 0.0102757 | − | 0.215714i | ||||
\(801\) | −3.79532 | − | 10.9659i | −0.134101 | − | 0.387460i | ||||
\(802\) | 1.09770 | − | 4.52476i | 0.0387610 | − | 0.159775i | ||||
\(803\) | 23.2150 | − | 32.6008i | 0.819238 | − | 1.15046i | ||||
\(804\) | 19.0236 | 0.670911 | ||||||||
\(805\) | −7.19305 | − | 15.0885i | −0.253522 | − | 0.531801i | ||||
\(806\) | 2.85666 | 0.100622 | ||||||||
\(807\) | 8.72308 | − | 12.2498i | 0.307067 | − | 0.431215i | ||||
\(808\) | −0.181344 | + | 0.747510i | −0.00637966 | + | 0.0262973i | ||||
\(809\) | −16.8122 | − | 48.5757i | −0.591086 | − | 1.70783i | −0.700334 | − | 0.713815i | \(-0.746966\pi\) |
0.109248 | − | 0.994015i | \(-0.465156\pi\) | |||||||
\(810\) | −0.00993966 | + | 0.208659i | −0.000349244 | + | 0.00733153i | ||||
\(811\) | −17.7978 | − | 20.5397i | −0.624965 | − | 0.721248i | 0.351677 | − | 0.936121i | \(-0.385611\pi\) |
−0.976642 | + | 0.214874i | \(0.931066\pi\) | |||||||
\(812\) | −36.6874 | − | 33.5036i | −1.28747 | − | 1.17574i | ||||
\(813\) | −7.47334 | − | 2.19437i | −0.262102 | − | 0.0769600i | ||||
\(814\) | 1.65468 | + | 0.853045i | 0.0579964 | + | 0.0298992i | ||||
\(815\) | −6.42613 | − | 5.05356i | −0.225097 | − | 0.177019i | ||||
\(816\) | −4.79091 | − | 6.72789i | −0.167715 | − | 0.235523i | ||||
\(817\) | −39.4431 | + | 3.76636i | −1.37994 | + | 0.131768i | ||||
\(818\) | −0.268145 | + | 1.86499i | −0.00937548 | + | 0.0652079i | ||||
\(819\) | 8.95016 | + | 9.89056i | 0.312744 | + | 0.345604i | ||||
\(820\) | 23.1579 | + | 6.79976i | 0.808707 | + | 0.237458i | ||||
\(821\) | −10.4654 | + | 8.23007i | −0.365245 | + | 0.287232i | −0.783867 | − | 0.620929i | \(-0.786756\pi\) |
0.418622 | + | 0.908160i | \(0.362513\pi\) | |||||||
\(822\) | −2.11045 | + | 0.406756i | −0.0736104 | + | 0.0141872i | ||||
\(823\) | −34.0339 | + | 17.5457i | −1.18635 | + | 0.611605i | −0.934431 | − | 0.356144i | \(-0.884091\pi\) |
−0.251917 | + | 0.967749i | \(0.581061\pi\) | |||||||
\(824\) | −5.26405 | − | 1.01456i | −0.183382 | − | 0.0353440i | ||||
\(825\) | −10.0758 | + | 2.95853i | −0.350795 | + | 0.103003i | ||||
\(826\) | −0.288733 | − | 4.17012i | −0.0100463 | − | 0.145097i | ||||
\(827\) | 9.33362 | 0.324562 | 0.162281 | − | 0.986745i | \(-0.448115\pi\) | ||||
0.162281 | + | 0.986745i | \(0.448115\pi\) | |||||||
\(828\) | 7.99345 | − | 5.07995i | 0.277792 | − | 0.176541i | ||||
\(829\) | −2.40422 | + | 4.16424i | −0.0835022 | + | 0.144630i | −0.904752 | − | 0.425939i | \(-0.859944\pi\) |
0.821250 | + | 0.570569i | \(0.193277\pi\) | |||||||
\(830\) | 0.604628 | + | 0.0577350i | 0.0209870 | + | 0.00200401i | ||||
\(831\) | 4.35696 | + | 4.15435i | 0.151141 | + | 0.144113i | ||||
\(832\) | −24.4411 | + | 28.2065i | −0.847342 | + | 0.977885i | ||||
\(833\) | 14.5784 | + | 3.60690i | 0.505112 | + | 0.124972i | ||||
\(834\) | −1.50108 | − | 1.73234i | −0.0519781 | − | 0.0599859i | ||||
\(835\) | 10.3839 | − | 8.16596i | 0.359348 | − | 0.282595i | ||||
\(836\) | 26.3576 | − | 25.1319i | 0.911595 | − | 0.869205i | ||||
\(837\) | 0.170020 | + | 3.56916i | 0.00587676 | + | 0.123368i | ||||
\(838\) | −2.05846 | + | 0.824082i | −0.0711082 | + | 0.0284674i | ||||
\(839\) | 13.0881 | − | 28.6590i | 0.451853 | − | 0.989419i | −0.537417 | − | 0.843317i | \(-0.680600\pi\) |
0.989269 | − | 0.146102i | \(-0.0466729\pi\) | |||||||
\(840\) | 1.55693 | − | 1.54987i | 0.0537192 | − | 0.0534757i | ||||
\(841\) | −8.74073 | + | 60.7931i | −0.301405 | + | 2.09631i | ||||
\(842\) | 1.77998 | + | 0.917642i | 0.0613420 | + | 0.0316240i | ||||
\(843\) | 8.30150 | − | 7.91547i | 0.285919 | − | 0.272623i | ||||
\(844\) | 16.0748 | + | 6.43537i | 0.553317 | + | 0.221515i | ||||
\(845\) | −5.35065 | + | 15.4597i | −0.184068 | + | 0.531829i | ||||
\(846\) | −0.200324 | − | 0.128741i | −0.00688730 | − | 0.00442620i | ||||
\(847\) | −1.47260 | − | 0.902193i | −0.0505993 | − | 0.0309997i | ||||
\(848\) | −17.2747 | + | 5.07231i | −0.593215 | + | 0.174184i | ||||
\(849\) | −8.53598 | + | 11.9871i | −0.292954 | + | 0.411396i | ||||
\(850\) | 0.555310 | − | 0.961826i | 0.0190470 | − | 0.0329903i | ||||
\(851\) | 4.04016 | + | 17.0305i | 0.138495 | + | 0.583798i | ||||
\(852\) | −6.88055 | − | 11.9175i | −0.235724 | − | 0.408285i | ||||
\(853\) | 7.17068 | + | 15.7016i | 0.245519 | + | 0.537612i | 0.991767 | − | 0.128056i | \(-0.0408738\pi\) |
−0.746248 | + | 0.665668i | \(0.768147\pi\) | |||||||
\(854\) | −1.87564 | + | 2.75774i | −0.0641832 | + | 0.0943681i | ||||
\(855\) | −4.94574 | + | 5.70768i | −0.169141 | + | 0.195199i | ||||
\(856\) | 0.282938 | − | 5.93960i | 0.00967062 | − | 0.203011i | ||||
\(857\) | −49.8417 | + | 9.60619i | −1.70256 | + | 0.328141i | −0.945602 | − | 0.325324i | \(-0.894527\pi\) |
−0.756956 | + | 0.653466i | \(0.773314\pi\) | |||||||
\(858\) | −2.38744 | − | 0.955787i | −0.0815059 | − | 0.0326300i | ||||
\(859\) | −7.04946 | − | 29.0583i | −0.240525 | − | 0.991456i | −0.956128 | − | 0.292949i | \(-0.905363\pi\) |
0.715603 | − | 0.698507i | \(-0.246152\pi\) | |||||||
\(860\) | −15.1262 | + | 9.72101i | −0.515799 | + | 0.331484i | ||||
\(861\) | −12.7274 | − | 20.9877i | −0.433747 | − | 0.715258i | ||||
\(862\) | −1.40010 | + | 3.06579i | −0.0476875 | + | 0.104421i | ||||
\(863\) | −17.9003 | + | 1.70927i | −0.609334 | + | 0.0581844i | −0.395162 | − | 0.918612i | \(-0.629311\pi\) |
−0.214172 | + | 0.976796i | \(0.568705\pi\) | |||||||
\(864\) | 1.47076 | + | 1.15662i | 0.0500361 | + | 0.0393488i | ||||
\(865\) | 1.26686 | + | 26.5946i | 0.0430744 | + | 0.904243i | ||||
\(866\) | 0.0867325 | + | 0.357516i | 0.00294729 | + | 0.0121489i | ||||
\(867\) | 1.76430 | + | 12.2710i | 0.0599187 | + | 0.416744i | ||||
\(868\) | 11.9196 | − | 14.3697i | 0.404579 | − | 0.487740i | ||||
\(869\) | 33.4126 | + | 21.4730i | 1.13345 | + | 0.728421i | ||||
\(870\) | −1.95046 | − | 0.375921i | −0.0661269 | − | 0.0127449i | ||||
\(871\) | 11.4498 | − | 47.1969i | 0.387963 | − | 1.59921i | ||||
\(872\) | 2.82359 | + | 0.269620i | 0.0956188 | + | 0.00913048i | ||||
\(873\) | −3.72862 | − | 6.45816i | −0.126195 | − | 0.218576i | ||||
\(874\) | −4.33792 | − | 0.436445i | −0.146732 | − | 0.0147630i | ||||
\(875\) | −26.9662 | − | 10.1277i | −0.911624 | − | 0.342379i | ||||
\(876\) | 10.2071 | + | 22.3504i | 0.344866 | + | 0.755150i | ||||
\(877\) | −16.0670 | − | 15.3199i | −0.542545 | − | 0.517316i | 0.368497 | − | 0.929629i | \(-0.379872\pi\) |
−0.911042 | + | 0.412313i | \(0.864721\pi\) | |||||||
\(878\) | −0.0565463 | − | 0.163380i | −0.00190834 | − | 0.00551380i | ||||
\(879\) | 18.4818 | − | 9.52801i | 0.623375 | − | 0.321372i | ||||
\(880\) | 5.33566 | − | 15.4164i | 0.179865 | − | 0.519686i | ||||
\(881\) | −5.08785 | − | 35.3868i | −0.171414 | − | 1.19221i | −0.875900 | − | 0.482493i | \(-0.839731\pi\) |
0.704486 | − | 0.709718i | \(-0.251178\pi\) | |||||||
\(882\) | −1.10897 | + | 0.0477780i | −0.0373411 | + | 0.00160877i | ||||
\(883\) | 8.85878 | − | 5.69319i | 0.298122 | − | 0.191591i | −0.383025 | − | 0.923738i | \(-0.625118\pi\) |
0.681147 | + | 0.732147i | \(0.261481\pi\) | |||||||
\(884\) | −19.8309 | + | 7.93910i | −0.666986 | + | 0.267021i | ||||
\(885\) | 7.61353 | + | 10.6917i | 0.255926 | + | 0.359398i | ||||
\(886\) | 2.24812 | + | 3.15705i | 0.0755272 | + | 0.106063i | ||||
\(887\) | −8.84900 | + | 3.54260i | −0.297120 | + | 0.118949i | −0.515433 | − | 0.856930i | \(-0.672369\pi\) |
0.218313 | + | 0.975879i | \(0.429945\pi\) | |||||||
\(888\) | −1.93521 | + | 1.24368i | −0.0649413 | + | 0.0417352i | ||||
\(889\) | 18.5871 | + | 13.9801i | 0.623392 | + | 0.468879i | ||||
\(890\) | 0.344977 | + | 2.39937i | 0.0115637 | + | 0.0804270i | ||||
\(891\) | 1.05208 | − | 3.03980i | 0.0352462 | − | 0.101837i | ||||
\(892\) | 27.4039 | − | 14.1277i | 0.917549 | − | 0.473029i | ||||
\(893\) | −2.81577 | − | 8.13564i | −0.0942262 | − | 0.272249i | ||||
\(894\) | −1.58213 | − | 1.50856i | −0.0529144 | − | 0.0504537i | ||||
\(895\) | −13.0126 | − | 28.4936i | −0.434963 | − | 0.952436i | ||||
\(896\) | −2.12773 | − | 12.8313i | −0.0710825 | − | 0.428664i | ||||
\(897\) | −7.79212 | − | 22.8890i | −0.260171 | − | 0.764241i | ||||
\(898\) | −1.61232 | − | 2.79261i | −0.0538037 | − | 0.0931907i | ||||
\(899\) | −33.8233 | − | 3.22973i | −1.12807 | − | 0.107718i | ||||
\(900\) | 1.51995 | − | 6.26532i | 0.0506650 | − | 0.208844i | ||||
\(901\) | −9.85208 | − | 1.89883i | −0.328221 | − | 0.0632593i | ||||
\(902\) | 3.98092 | + | 2.55838i | 0.132550 | + | 0.0851848i | ||||
\(903\) | 18.0256 | + | 3.07328i | 0.599856 | + | 0.102273i | ||||
\(904\) | −1.28722 | − | 8.95281i | −0.0428123 | − | 0.297766i | ||||
\(905\) | −5.53903 | − | 22.8322i | −0.184124 | − | 0.758968i | ||||
\(906\) | −0.00187455 | − | 0.0393517i | −6.22779e−5 | − | 0.00130737i | ||||
\(907\) | 23.7687 | + | 18.6919i | 0.789227 | + | 0.620655i | 0.929232 | − | 0.369496i | \(-0.120470\pi\) |
−0.140006 | + | 0.990151i | \(0.544712\pi\) | |||||||
\(908\) | 14.4186 | − | 1.37680i | 0.478497 | − | 0.0456909i | ||||
\(909\) | −0.506955 | + | 1.11008i | −0.0168146 | + | 0.0368189i | ||||
\(910\) | −1.44485 | − | 2.38259i | −0.0478964 | − | 0.0789822i | ||||
\(911\) | −6.07079 | + | 3.90146i | −0.201134 | + | 0.129261i | −0.637331 | − | 0.770590i | \(-0.719962\pi\) |
0.436197 | + | 0.899851i | \(0.356325\pi\) | |||||||
\(912\) | 5.20332 | + | 21.4484i | 0.172299 | + | 0.710227i | ||||
\(913\) | −8.68286 | − | 3.47609i | −0.287361 | − | 0.115042i | ||||
\(914\) | 0.0682323 | − | 0.0131507i | 0.00225692 | − | 0.000434986i | ||||
\(915\) | 0.498293 | − | 10.4605i | 0.0164731 | − | 0.345812i | ||||
\(916\) | −37.0229 | + | 42.7267i | −1.22327 | + | 1.41173i | ||||
\(917\) | 18.9194 | + | 39.1735i | 0.624774 | + | 1.29362i | ||||
\(918\) | 0.141326 | + | 0.309461i | 0.00466445 | + | 0.0102137i | ||||
\(919\) | −16.7197 | − | 28.9594i | −0.551533 | − | 0.955283i | −0.998164 | − | 0.0605646i | \(-0.980710\pi\) |
0.446632 | − | 0.894718i | \(-0.352623\pi\) | |||||||
\(920\) | −3.70434 | + | 1.46123i | −0.122128 | + | 0.0481753i | ||||
\(921\) | −7.07575 | + | 12.2556i | −0.233154 | + | 0.403834i | ||||
\(922\) | −2.53648 | + | 3.56199i | −0.0835347 | + | 0.117308i | ||||
\(923\) | −33.7080 | + | 9.89757i | −1.10951 | + | 0.325783i | ||||
\(924\) | −14.7696 | + | 8.02133i | −0.485885 | + | 0.263882i | ||||
\(925\) | 10.0232 | + | 6.44151i | 0.329560 | + | 0.211796i | ||||
\(926\) | 1.14454 | − | 3.30693i | 0.0376119 | − | 0.108672i | ||||
\(927\) | −7.89611 | − | 3.16113i | −0.259342 | − | 0.103825i | ||||
\(928\) | −12.8764 | + | 12.2777i | −0.422690 | + | 0.403034i | ||||
\(929\) | −21.2574 | − | 10.9589i | −0.697432 | − | 0.359551i | 0.0727722 | − | 0.997349i | \(-0.476815\pi\) |
−0.770204 | + | 0.637797i | \(0.779846\pi\) | |||||||
\(930\) | 0.106228 | − | 0.738831i | 0.00348335 | − | 0.0242272i | ||||
\(931\) | −32.5834 | − | 23.4264i | −1.06788 | − | 0.767768i | ||||
\(932\) | −18.0873 | + | 39.6056i | −0.592469 | + | 1.29733i | ||||
\(933\) | 4.45152 | − | 1.78212i | 0.145736 | − | 0.0583439i | ||||
\(934\) | −0.152560 | − | 3.20262i | −0.00499190 | − | 0.104793i | ||||
\(935\) | 6.57974 | − | 6.27377i | 0.215180 | − | 0.205174i | ||||
\(936\) | 2.49789 | − | 1.96436i | 0.0816461 | − | 0.0642072i | ||||
\(937\) | 9.69520 | + | 11.1889i | 0.316729 | + | 0.365524i | 0.891682 | − | 0.452662i | \(-0.149525\pi\) |
−0.574954 | + | 0.818186i | \(0.694980\pi\) | |||||||
\(938\) | 2.41457 | + | 3.24081i | 0.0788385 | + | 0.105816i | ||||
\(939\) | 9.70096 | − | 11.1955i | 0.316579 | − | 0.365352i | ||||
\(940\) | −2.82747 | − | 2.69599i | −0.0922220 | − | 0.0879335i | ||||
\(941\) | 6.70691 | + | 0.640432i | 0.218639 | + | 0.0208775i | 0.203801 | − | 0.979012i | \(-0.434671\pi\) |
0.0148384 | + | 0.999890i | \(0.495277\pi\) | |||||||
\(942\) | 0.518580 | − | 0.898207i | 0.0168962 | − | 0.0292652i | ||||
\(943\) | 6.10832 | + | 44.0707i | 0.198914 | + | 1.43514i | ||||
\(944\) | 38.3571 | 1.24842 | ||||||||
\(945\) | 2.89086 | − | 1.94703i | 0.0940397 | − | 0.0633369i | ||||
\(946\) | −3.38255 | + | 0.993207i | −0.109976 | + | 0.0322919i | ||||
\(947\) | 0.123707 | + | 0.0238425i | 0.00401992 | + | 0.000774777i | 0.191261 | − | 0.981539i | \(-0.438742\pi\) |
−0.187241 | + | 0.982314i | \(0.559954\pi\) | |||||||
\(948\) | −21.6734 | + | 11.1734i | −0.703920 | + | 0.362896i | ||||
\(949\) | 61.5940 | − | 11.8713i | 1.99943 | − | 0.385358i | ||||
\(950\) | −2.33283 | + | 1.83456i | −0.0756869 | + | 0.0595208i | ||||
\(951\) | 13.7784 | + | 4.04570i | 0.446795 | + | 0.131191i | ||||
\(952\) | 1.09712 | − | 3.40538i | 0.0355577 | − | 0.110369i | ||||
\(953\) | −2.92649 | + | 20.3542i | −0.0947983 | + | 0.659337i | 0.885910 | + | 0.463858i | \(0.153535\pi\) |
−0.980708 | + | 0.195479i | \(0.937374\pi\) | |||||||
\(954\) | 0.738227 | − | 0.0704921i | 0.0239010 | − | 0.00228227i | ||||
\(955\) | −16.4675 | − | 23.1254i | −0.532876 | − | 0.748320i | ||||
\(956\) | −11.2246 | − | 8.82711i | −0.363029 | − | 0.285489i | ||||
\(957\) | 27.1870 | + | 14.0159i | 0.878832 | + | 0.453070i | ||||
\(958\) | 0.238184 | + | 0.0699370i | 0.00769536 | + | 0.00225956i | ||||
\(959\) | 26.4802 | + | 24.1822i | 0.855092 | + | 0.780885i | ||||
\(960\) | 6.38631 | + | 7.37019i | 0.206117 | + | 0.237872i | ||||
\(961\) | −0.867521 | + | 18.2115i | −0.0279846 | + | 0.587468i | ||||
\(962\) | 0.954313 | + | 2.75731i | 0.0307683 | + | 0.0888991i | ||||
\(963\) | 2.22418 | − | 9.16820i | 0.0716732 | − | 0.295441i | ||||
\(964\) | 12.3373 | − | 17.3253i | 0.397358 | − | 0.558012i | ||||
\(965\) | −15.8069 | −0.508844 | ||||||||
\(966\) | 1.87997 | + | 0.716969i | 0.0604872 | + | 0.0230681i | ||||
\(967\) | −25.5515 | −0.821681 | −0.410841 | − | 0.911707i | \(-0.634765\pi\) | ||||
−0.410841 | + | 0.911707i | \(0.634765\pi\) | |||||||
\(968\) | −0.238649 | + | 0.335136i | −0.00767048 | + | 0.0107717i | ||||
\(969\) | −2.89975 | + | 11.9529i | −0.0931533 | + | 0.383983i | ||||
\(970\) | 0.509502 | + | 1.47211i | 0.0163591 | + | 0.0472666i | ||||
\(971\) | −0.767009 | + | 16.1015i | −0.0246145 | + | 0.516722i | 0.952569 | + | 0.304324i | \(0.0984304\pi\) |
−0.977183 | + | 0.212398i | \(0.931873\pi\) | |||||||
\(972\) | 1.29325 | + | 1.49250i | 0.0414812 | + | 0.0478718i | ||||
\(973\) | −8.21448 | + | 37.3526i | −0.263344 | + | 1.19747i | ||||
\(974\) | −4.67615 | − | 1.37304i | −0.149833 | − | 0.0439951i | ||||
\(975\) | −14.6292 | − | 7.54189i | −0.468510 | − | 0.241534i | ||||
\(976\) | −24.0561 | − | 18.9179i | −0.770017 | − | 0.605548i | ||||
\(977\) | 6.51978 | + | 9.15575i | 0.208586 | + | 0.292918i | 0.905594 | − | 0.424145i | \(-0.139425\pi\) |
−0.697008 | + | 0.717063i | \(0.745486\pi\) | |||||||
\(978\) | 0.979601 | − | 0.0935405i | 0.0313242 | − | 0.00299110i | ||||
\(979\) | 5.31219 | − | 36.9471i | 0.169778 | − | 1.18083i | ||||
\(980\) | −18.0138 | − | 2.67358i | −0.575430 | − | 0.0854045i | ||||
\(981\) | 4.31784 | + | 1.26783i | 0.137858 | + | 0.0404788i | ||||
\(982\) | −5.50333 | + | 4.32786i | −0.175618 | + | 0.138108i | ||||
\(983\) | 24.1567 | − | 4.65582i | 0.770479 | − | 0.148498i | 0.211162 | − | 0.977451i | \(-0.432275\pi\) |
0.559318 | + | 0.828953i | \(0.311063\pi\) | |||||||
\(984\) | −5.19741 | + | 2.67945i | −0.165687 | + | 0.0854177i | ||||
\(985\) | −9.40996 | − | 1.81362i | −0.299826 | − | 0.0577868i | ||||
\(986\) | −3.10391 | + | 0.911391i | −0.0988487 | + | 0.0290246i | ||||
\(987\) | 0.274435 | + | 3.96362i | 0.00873535 | + | 0.126163i | ||||
\(988\) | 57.0805 | 1.81597 | ||||||||
\(989\) | −27.7927 | − | 18.0612i | −0.883756 | − | 0.574313i | ||||
\(990\) | −0.335979 | + | 0.581933i | −0.0106781 | + | 0.0184950i | ||||
\(991\) | −17.6872 | − | 1.68893i | −0.561854 | − | 0.0536505i | −0.189734 | − | 0.981835i | \(-0.560763\pi\) |
−0.372119 | + | 0.928185i | \(0.621369\pi\) | |||||||
\(992\) | −4.83867 | − | 4.61367i | −0.153628 | − | 0.146484i | ||||
\(993\) | −17.8091 | + | 20.5528i | −0.565156 | + | 0.652225i | ||||
\(994\) | 1.15691 | − | 2.68477i | 0.0366950 | − | 0.0851558i | ||||
\(995\) | −5.51358 | − | 6.36301i | −0.174792 | − | 0.201721i | ||||
\(996\) | 4.51354 | − | 3.54948i | 0.143017 | − | 0.112470i | ||||
\(997\) | −3.85444 | + | 3.67520i | −0.122071 | + | 0.116395i | −0.748656 | − | 0.662958i | \(-0.769301\pi\) |
0.626585 | + | 0.779353i | \(0.284452\pi\) | |||||||
\(998\) | −0.283125 | − | 5.94353i | −0.00896218 | − | 0.188139i | ||||
\(999\) | −3.38823 | + | 1.35644i | −0.107199 | + | 0.0429160i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 483.2.y.b.4.9 | ✓ | 320 | |
7.2 | even | 3 | inner | 483.2.y.b.142.8 | yes | 320 | |
23.6 | even | 11 | inner | 483.2.y.b.466.8 | yes | 320 | |
161.121 | even | 33 | inner | 483.2.y.b.121.9 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.y.b.4.9 | ✓ | 320 | 1.1 | even | 1 | trivial | |
483.2.y.b.121.9 | yes | 320 | 161.121 | even | 33 | inner | |
483.2.y.b.142.8 | yes | 320 | 7.2 | even | 3 | inner | |
483.2.y.b.466.8 | yes | 320 | 23.6 | even | 11 | inner |