Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [304,2,Mod(17,304)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(304, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("304.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 304 = 2^{4} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 304.u (of order \(9\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.42745222145\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 19) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 225.1 | ||
Root | \(0.939693 - 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 304.225 |
Dual form | 304.2.u.b.177.1 |
$q$-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 \(\left(\mathbb{Z}/304\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(191\) | \(229\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) | \(1\) | \(1\) |
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 | 0 | ||||||||
\(3\) | −0.613341 | + | 0.223238i | −0.354112 | + | 0.128886i | −0.512950 | − | 0.858418i | \(-0.671448\pi\) |
0.158838 | + | 0.987305i | \(0.449225\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.233956 | + | 1.32683i | −0.104628 | + | 0.593375i | 0.886740 | + | 0.462268i | \(0.152964\pi\) |
−0.991368 | + | 0.131107i | \(0.958147\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.766044 | + | 1.32683i | 0.289538 | + | 0.501494i | 0.973699 | − | 0.227836i | \(-0.0731651\pi\) |
−0.684162 | + | 0.729330i | \(0.739832\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.97178 | + | 1.65452i | −0.657261 | + | 0.551507i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.592396 | + | 1.02606i | −0.178614 | + | 0.309369i | −0.941406 | − | 0.337275i | \(-0.890495\pi\) |
0.762792 | + | 0.646644i | \(0.223828\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.55303 | − | 0.929228i | −0.708084 | − | 0.257722i | −0.0372256 | − | 0.999307i | \(-0.511852\pi\) |
−0.670859 | + | 0.741585i | \(0.734074\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.152704 | − | 0.866025i | −0.0394279 | − | 0.223607i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 2.97178 | + | 2.49362i | 0.720763 | + | 0.604792i | 0.927596 | − | 0.373584i | \(-0.121871\pi\) |
−0.206833 | + | 0.978376i | \(0.566316\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.819078 | + | 4.28125i | −0.187909 | + | 0.982186i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.766044 | − | 0.642788i | −0.167165 | − | 0.140268i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.879385 | + | 4.98724i | 0.183364 | + | 1.03991i | 0.928039 | + | 0.372484i | \(0.121494\pi\) |
−0.744674 | + | 0.667428i | \(0.767395\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.99273 | + | 1.08926i | 0.598545 | + | 0.217853i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.81908 | − | 3.15074i | 0.350082 | − | 0.606359i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3.56418 | + | 2.99070i | −0.661851 | + | 0.555359i | −0.910641 | − | 0.413198i | \(-0.864412\pi\) |
0.248790 | + | 0.968557i | \(0.419967\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.91875 | − | 3.32337i | −0.344617 | − | 0.596895i | 0.640667 | − | 0.767819i | \(-0.278658\pi\) |
−0.985284 | + | 0.170924i | \(0.945325\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.134285 | − | 0.761570i | 0.0233761 | − | 0.132572i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.93969 | + | 0.705990i | −0.327868 | + | 0.119334i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.10607 | −0.675033 | −0.337517 | − | 0.941320i | \(-0.609587\pi\) | ||||
−0.337517 | + | 0.941320i | \(0.609587\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 1.77332 | 0.283958 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 9.38326 | − | 3.41523i | 1.46542 | − | 0.533369i | 0.518566 | − | 0.855038i | \(-0.326466\pi\) |
0.946852 | + | 0.321669i | \(0.104244\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.51114 | − | 8.57013i | 0.230447 | − | 1.30693i | −0.621545 | − | 0.783378i | \(-0.713495\pi\) |
0.851993 | − | 0.523554i | \(-0.175394\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.73396 | − | 3.00330i | −0.258483 | − | 0.447705i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −0.439693 | + | 0.368946i | −0.0641358 | + | 0.0538163i | −0.674292 | − | 0.738465i | \(-0.735551\pi\) |
0.610156 | + | 0.792281i | \(0.291107\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.32635 | − | 4.02936i | 0.332336 | − | 0.575623i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −2.37939 | − | 0.866025i | −0.333181 | − | 0.121268i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0.511144 | + | 2.89884i | 0.0702111 | + | 0.398187i | 0.999579 | + | 0.0290308i | \(0.00924209\pi\) |
−0.929367 | + | 0.369156i | \(0.879647\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.22281 | − | 1.02606i | −0.164884 | − | 0.138354i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.453363 | − | 2.80872i | −0.0600494 | − | 0.372023i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 3.01501 | + | 2.52990i | 0.392521 | + | 0.329365i | 0.817595 | − | 0.575794i | \(-0.195307\pi\) |
−0.425073 | + | 0.905159i | \(0.639752\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.784463 | − | 4.44891i | −0.100440 | − | 0.569624i | −0.992944 | − | 0.118585i | \(-0.962164\pi\) |
0.892504 | − | 0.451040i | \(-0.148947\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −3.70574 | − | 1.34878i | −0.466879 | − | 0.169930i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.83022 | − | 3.17004i | 0.227011 | − | 0.393195i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.97771 | − | 2.49860i | 0.363785 | − | 0.305252i | −0.442512 | − | 0.896763i | \(-0.645913\pi\) |
0.806297 | + | 0.591510i | \(0.201468\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −1.65270 | − | 2.86257i | −0.198962 | − | 0.344613i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.20439 | − | 6.83045i | 0.142935 | − | 0.810625i | −0.826067 | − | 0.563572i | \(-0.809427\pi\) |
0.969002 | − | 0.247053i | \(-0.0794622\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −5.75877 | + | 2.09602i | −0.674013 | + | 0.245321i | −0.656275 | − | 0.754522i | \(-0.727869\pi\) |
−0.0177383 | + | 0.999843i | \(0.505647\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −2.07873 | −0.240031 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.81521 | −0.206862 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 9.21688 | − | 3.35467i | 1.03698 | − | 0.377430i | 0.233246 | − | 0.972418i | \(-0.425065\pi\) |
0.803735 | + | 0.594988i | \(0.202843\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.928548 | − | 5.26606i | 0.103172 | − | 0.585118i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 6.15910 | + | 10.6679i | 0.676049 | + | 1.17095i | 0.976161 | + | 0.217047i | \(0.0696426\pi\) |
−0.300112 | + | 0.953904i | \(0.597024\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.00387 | + | 3.35965i | −0.434281 | + | 0.364405i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 1.51842 | − | 2.62998i | 0.162792 | − | 0.281963i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 2.27972 | + | 0.829748i | 0.241649 | + | 0.0879532i | 0.460006 | − | 0.887916i | \(-0.347847\pi\) |
−0.218356 | + | 0.975869i | \(0.570070\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.722811 | − | 4.09927i | −0.0757712 | − | 0.429720i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 1.91875 | + | 1.61002i | 0.198965 | + | 0.166951i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −5.48886 | − | 2.08840i | −0.563145 | − | 0.214265i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5.64543 | + | 4.73708i | 0.573207 | + | 0.480977i | 0.882708 | − | 0.469922i | \(-0.155718\pi\) |
−0.309502 | + | 0.950899i | \(0.600162\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.529563 | − | 3.00330i | −0.0532231 | − | 0.301843i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −2.03936 | − | 0.742267i | −0.202924 | − | 0.0738584i | 0.238559 | − | 0.971128i | \(-0.423325\pi\) |
−0.441483 | + | 0.897270i | \(0.645547\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −6.23783 | + | 10.8042i | −0.614631 | + | 1.06457i | 0.375818 | + | 0.926694i | \(0.377362\pi\) |
−0.990449 | + | 0.137879i | \(0.955971\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 1.03209 | − | 0.866025i | 0.100722 | − | 0.0845154i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −3.34002 | − | 5.78509i | −0.322892 | − | 0.559266i | 0.658191 | − | 0.752851i | \(-0.271322\pi\) |
−0.981083 | + | 0.193585i | \(0.937988\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.64156 | − | 9.30975i | 0.157233 | − | 0.891712i | −0.799483 | − | 0.600689i | \(-0.794893\pi\) |
0.956716 | − | 0.291023i | \(-0.0939957\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.51842 | − | 0.916629i | 0.239038 | − | 0.0870026i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 1.31046 | 0.123278 | 0.0616388 | − | 0.998099i | \(-0.480367\pi\) | ||||
0.0616388 | + | 0.998099i | \(0.480367\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −6.82295 | −0.636243 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 6.57145 | − | 2.39181i | 0.607531 | − | 0.221123i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −1.03209 | + | 5.85327i | −0.0946114 | + | 0.536568i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.79813 | + | 8.31061i | 0.436194 | + | 0.755510i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −4.99273 | + | 4.18939i | −0.450179 | + | 0.377745i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −5.51367 | + | 9.54996i | −0.493158 | + | 0.854174i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −13.6284 | − | 4.96032i | −1.20932 | − | 0.440157i | −0.342853 | − | 0.939389i | \(-0.611393\pi\) |
−0.866468 | + | 0.499232i | \(0.833615\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.986329 | + | 5.59375i | 0.0868415 | + | 0.492502i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 15.1741 | + | 12.7326i | 1.32577 | + | 1.11245i | 0.985047 | + | 0.172288i | \(0.0551159\pi\) |
0.340722 | + | 0.940164i | \(0.389329\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −6.30793 | + | 2.19285i | −0.546967 | + | 0.190144i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 3.75490 | + | 3.15074i | 0.323170 | + | 0.271172i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 1.77197 | + | 10.0494i | 0.151390 | + | 0.858575i | 0.962012 | + | 0.273006i | \(0.0880179\pi\) |
−0.810622 | + | 0.585569i | \(0.800871\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.56031 | − | 0.567905i | −0.132344 | − | 0.0481691i | 0.274999 | − | 0.961444i | \(-0.411322\pi\) |
−0.407343 | + | 0.913275i | \(0.633545\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.187319 | − | 0.324446i | 0.0157751 | − | 0.0273232i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 2.46585 | − | 2.06910i | 0.206205 | − | 0.173026i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −3.13429 | − | 5.42874i | −0.260288 | − | 0.450832i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.527341 | + | 2.99070i | −0.0434944 | + | 0.246669i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −10.5312 | + | 3.83305i | −0.862750 | + | 0.314015i | −0.735228 | − | 0.677820i | \(-0.762925\pi\) |
−0.127523 | + | 0.991836i | \(0.540703\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 11.0419 | 0.898576 | 0.449288 | − | 0.893387i | \(-0.351678\pi\) | ||||
0.449288 | + | 0.893387i | \(0.351678\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −9.98545 | −0.807276 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 4.85844 | − | 1.76833i | 0.390239 | − | 0.142036i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.90895 | − | 10.8262i | 0.152351 | − | 0.864023i | −0.808817 | − | 0.588060i | \(-0.799892\pi\) |
0.961168 | − | 0.275964i | \(-0.0889969\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −0.960637 | − | 1.66387i | −0.0761835 | − | 0.131954i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −5.94356 | + | 4.98724i | −0.468418 | + | 0.393050i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.16637 | + | 5.48432i | −0.248010 | + | 0.429565i | −0.962973 | − | 0.269596i | \(-0.913110\pi\) |
0.714964 | + | 0.699161i | \(0.246443\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0.979055 | + | 0.356347i | 0.0762194 | + | 0.0277416i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 2.39259 | + | 13.5690i | 0.185144 | + | 1.05000i | 0.925770 | + | 0.378087i | \(0.123418\pi\) |
−0.740626 | + | 0.671917i | \(0.765471\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.30406 | − | 3.61154i | −0.331082 | − | 0.277811i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −5.46838 | − | 9.79687i | −0.418177 | − | 0.749186i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 19.3405 | + | 16.2286i | 1.47043 | + | 1.23384i | 0.915734 | + | 0.401784i | \(0.131610\pi\) |
0.554696 | + | 0.832053i | \(0.312835\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.847296 | + | 4.80526i | 0.0640496 | + | 0.363243i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −2.41400 | − | 0.878624i | −0.181447 | − | 0.0660414i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 2.91534 | − | 5.04952i | 0.217903 | − | 0.377419i | −0.736264 | − | 0.676695i | \(-0.763412\pi\) |
0.954167 | + | 0.299276i | \(0.0967450\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 10.3892 | − | 8.71756i | 0.772222 | − | 0.647971i | −0.169055 | − | 0.985607i | \(-0.554072\pi\) |
0.941277 | + | 0.337635i | \(0.109627\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 1.47431 | + | 2.55358i | 0.108984 | + | 0.188766i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0.960637 | − | 5.44804i | 0.0706274 | − | 0.400548i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −4.31908 | + | 1.57202i | −0.315842 | + | 0.114957i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 5.57398 | 0.405447 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 10.2841 | 0.744128 | 0.372064 | − | 0.928207i | \(-0.378650\pi\) | ||||
0.372064 | + | 0.928207i | \(0.378650\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −12.9684 | + | 4.72010i | −0.933484 | + | 0.339760i | −0.763590 | − | 0.645702i | \(-0.776565\pi\) |
−0.169895 | + | 0.985462i | \(0.554343\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.414878 | + | 2.35289i | −0.0297100 | + | 0.168494i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 3.97044 | + | 6.87700i | 0.282882 | + | 0.489966i | 0.972093 | − | 0.234594i | \(-0.0753762\pi\) |
−0.689211 | + | 0.724560i | \(0.742043\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −20.7101 | + | 17.3778i | −1.46810 | + | 1.23188i | −0.550219 | + | 0.835020i | \(0.685456\pi\) |
−0.917879 | + | 0.396861i | \(0.870100\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1.26857 | + | 2.19723i | −0.0894781 | + | 0.154981i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −6.69846 | − | 2.43804i | −0.470140 | − | 0.171117i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.33615 | + | 13.2490i | 0.163164 | + | 0.925349i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −9.98545 | − | 8.37879i | −0.694037 | − | 0.582366i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −3.90760 | − | 3.37662i | −0.270295 | − | 0.233566i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 6.18345 | + | 5.18853i | 0.425686 | + | 0.357193i | 0.830321 | − | 0.557285i | \(-0.188157\pi\) |
−0.404635 | + | 0.914478i | \(0.632601\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0.786112 | + | 4.45826i | 0.0538635 | + | 0.305475i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 11.0175 | + | 4.01006i | 0.751390 | + | 0.273484i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 2.93969 | − | 5.09170i | 0.199559 | − | 0.345647i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 3.06418 | − | 2.57115i | 0.207058 | − | 0.173742i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −5.26991 | − | 9.12776i | −0.354493 | − | 0.614000i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.68732 | − | 15.2405i | 0.179956 | − | 1.02058i | −0.752310 | − | 0.658809i | \(-0.771060\pi\) |
0.932266 | − | 0.361773i | \(-0.117828\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −7.70321 | + | 2.80374i | −0.513547 | + | 0.186916i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −9.87258 | −0.655266 | −0.327633 | − | 0.944805i | \(-0.606251\pi\) | ||||
−0.327633 | + | 0.944805i | \(0.606251\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 20.1189 | 1.32949 | 0.664746 | − | 0.747070i | \(-0.268540\pi\) | ||||
0.664746 | + | 0.747070i | \(0.268540\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 1.11334 | − | 0.405223i | 0.0732524 | − | 0.0266617i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 0.613808 | − | 3.48108i | 0.0402119 | − | 0.228053i | −0.958078 | − | 0.286507i | \(-0.907506\pi\) |
0.998290 | + | 0.0584538i | \(0.0186170\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.386659 | − | 0.669713i | −0.0252229 | − | 0.0436873i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −4.90420 | + | 4.11511i | −0.318562 | + | 0.267305i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 5.98680 | − | 10.3694i | 0.387254 | − | 0.670743i | −0.604825 | − | 0.796358i | \(-0.706757\pi\) |
0.992079 | + | 0.125615i | \(0.0400904\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −12.1236 | − | 4.41263i | −0.780950 | − | 0.284243i | −0.0793814 | − | 0.996844i | \(-0.525294\pi\) |
−0.701569 | + | 0.712602i | \(0.747517\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 2.50134 | + | 14.1858i | 0.160461 | + | 0.910021i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 4.80200 | + | 4.02936i | 0.306789 | + | 0.257426i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 6.06939 | − | 10.1691i | 0.386186 | − | 0.647042i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −6.15910 | − | 5.16810i | −0.390317 | − | 0.327515i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2.49407 | − | 14.1446i | −0.157424 | − | 0.892798i | −0.956536 | − | 0.291615i | \(-0.905807\pi\) |
0.799112 | − | 0.601183i | \(-0.205304\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −5.63816 | − | 2.05212i | −0.354468 | − | 0.129016i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 1.70574 | − | 2.95442i | 0.106817 | − | 0.185013i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 3.81315 | − | 3.19961i | 0.237858 | − | 0.199586i | −0.516065 | − | 0.856549i | \(-0.672604\pi\) |
0.753923 | + | 0.656963i | \(0.228159\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −3.14543 | − | 5.44804i | −0.195447 | − | 0.338525i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.07960 | − | 11.7940i | 0.128724 | − | 0.730031i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −22.5929 | + | 8.22313i | −1.39314 | + | 0.507060i | −0.926133 | − | 0.377196i | \(-0.876888\pi\) |
−0.467002 | + | 0.884256i | \(0.654666\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −3.96585 | −0.243620 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −1.58347 | −0.0969070 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 12.3204 | − | 4.48427i | 0.751189 | − | 0.273411i | 0.0620832 | − | 0.998071i | \(-0.480226\pi\) |
0.689106 | + | 0.724660i | \(0.258003\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4.61381 | − | 26.1662i | 0.280269 | − | 1.58948i | −0.441443 | − | 0.897290i | \(-0.645533\pi\) |
0.721711 | − | 0.692194i | \(-0.243356\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 1.35844 | + | 2.35289i | 0.0822166 | + | 0.142403i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −2.89053 | + | 2.42544i | −0.174305 | + | 0.146260i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 8.25537 | − | 14.2987i | 0.496017 | − | 0.859127i | −0.503973 | − | 0.863720i | \(-0.668129\pi\) |
0.999989 | + | 0.00459317i | \(0.00146206\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 9.28194 | + | 3.37835i | 0.555695 | + | 0.202256i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −3.36706 | − | 19.0955i | −0.200862 | − | 1.13914i | −0.903820 | − | 0.427913i | \(-0.859249\pi\) |
0.702958 | − | 0.711231i | \(-0.251862\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 8.66431 | + | 7.27022i | 0.515040 | + | 0.432170i | 0.862899 | − | 0.505377i | \(-0.168647\pi\) |
−0.347859 | + | 0.937547i | \(0.613091\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 3.83275 | + | 0.0555796i | 0.227032 | + | 0.00329225i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 11.7194 | + | 9.83375i | 0.691775 | + | 0.580468i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −0.338678 | − | 1.92074i | −0.0199222 | − | 0.112985i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −4.52007 | − | 1.64517i | −0.264971 | − | 0.0964416i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −1.94949 | + | 3.37662i | −0.113891 | + | 0.197264i | −0.917336 | − | 0.398115i | \(-0.869665\pi\) |
0.803445 | + | 0.595379i | \(0.202998\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −4.06212 | + | 3.40852i | −0.236506 | + | 0.198452i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 2.15523 | + | 3.73297i | 0.125059 | + | 0.216609i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 2.38919 | − | 13.5497i | 0.138170 | − | 0.783602i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 12.5287 | − | 4.56007i | 0.722141 | − | 0.262838i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 1.41653 | 0.0813773 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 6.08647 | 0.348510 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 21.7777 | − | 7.92642i | 1.24292 | − | 0.452385i | 0.364914 | − | 0.931041i | \(-0.381098\pi\) |
0.878002 | + | 0.478657i | \(0.158876\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 1.41400 | − | 8.01919i | 0.0804397 | − | 0.456196i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −1.73055 | − | 2.99740i | −0.0981306 | − | 0.169967i | 0.812780 | − | 0.582570i | \(-0.197953\pi\) |
−0.910911 | + | 0.412603i | \(0.864620\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −17.5346 | + | 14.7133i | −0.991115 | + | 0.831644i | −0.985729 | − | 0.168341i | \(-0.946159\pi\) |
−0.00538626 | + | 0.999985i | \(0.501715\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 2.65657 | − | 4.60132i | 0.149681 | − | 0.259255i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −24.5453 | − | 8.93378i | −1.37860 | − | 0.501771i | −0.456849 | − | 0.889544i | \(-0.651022\pi\) |
−0.921755 | + | 0.387773i | \(0.873244\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.957234 | − | 5.42874i | −0.0535948 | − | 0.303951i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 3.34002 | + | 2.80261i | 0.186422 | + | 0.156427i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −13.1099 | + | 10.6805i | −0.729456 | + | 0.594277i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −6.62836 | − | 5.56185i | −0.367675 | − | 0.308516i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 1.07145 | + | 6.07650i | 0.0592514 | + | 0.336031i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −0.826352 | − | 0.300767i | −0.0455583 | − | 0.0165818i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 9.52229 | − | 16.4931i | 0.523392 | − | 0.906542i | −0.476237 | − | 0.879317i | \(-0.658000\pi\) |
0.999629 | − | 0.0272251i | \(-0.00866710\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 8.09627 | − | 6.79357i | 0.443673 | − | 0.372286i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 2.61856 | + | 4.53547i | 0.143067 | + | 0.247799i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.295445 | − | 1.67555i | 0.0160939 | − | 0.0912731i | −0.975703 | − | 0.219098i | \(-0.929688\pi\) |
0.991797 | + | 0.127825i | \(0.0407996\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −0.803758 | + | 0.292544i | −0.0436542 | + | 0.0158888i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 4.54664 | 0.246214 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.8530 | 0.963970 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 4.18479 | − | 1.52314i | 0.225302 | − | 0.0820031i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 0.851167 | − | 4.82721i | 0.0456930 | − | 0.259138i | −0.953400 | − | 0.301708i | \(-0.902443\pi\) |
0.999094 | + | 0.0425697i | \(0.0135544\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 14.0646 | + | 24.3607i | 0.752863 | + | 1.30400i | 0.946430 | + | 0.322910i | \(0.104661\pi\) |
−0.193566 | + | 0.981087i | \(0.562006\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −7.57192 | + | 6.35359i | −0.404159 | + | 0.339130i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 4.15998 | − | 7.20529i | 0.221413 | − | 0.383499i | −0.733824 | − | 0.679340i | \(-0.762266\pi\) |
0.955237 | + | 0.295841i | \(0.0955997\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 8.78106 | + | 3.19604i | 0.466050 | + | 0.169628i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.673648 | − | 3.82045i | −0.0356532 | − | 0.202200i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −19.0967 | − | 16.0241i | −1.00789 | − | 0.845718i | −0.0198296 | − | 0.999803i | \(-0.506312\pi\) |
−0.988057 | + | 0.154086i | \(0.950757\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −17.6582 | − | 7.01336i | −0.929380 | − | 0.369124i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −4.79813 | − | 4.02611i | −0.251837 | − | 0.211316i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −1.43376 | − | 8.13127i | −0.0750466 | − | 0.425610i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.42989 | − | 0.884409i | −0.126839 | − | 0.0461657i | 0.277821 | − | 0.960633i | \(-0.410388\pi\) |
−0.404660 | + | 0.914467i | \(0.632610\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −12.8512 | + | 22.2589i | −0.669005 | + | 1.15875i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −3.45471 | + | 2.89884i | −0.179359 | + | 0.150500i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 11.6917 | + | 20.2505i | 0.605371 | + | 1.04853i | 0.991993 | + | 0.126295i | \(0.0403086\pi\) |
−0.386622 | + | 0.922238i | \(0.626358\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 1.24985 | − | 7.08824i | 0.0645419 | − | 0.366035i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 11.8785 | − | 4.32342i | 0.611774 | − | 0.222668i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −25.4388 | −1.30670 | −0.653352 | − | 0.757054i | \(-0.726638\pi\) | ||||
−0.653352 | + | 0.757054i | \(0.726638\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 9.46616 | 0.484966 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −25.8234 | + | 9.39895i | −1.31951 | + | 0.480264i | −0.903303 | − | 0.429003i | \(-0.858865\pi\) |
−0.416212 | + | 0.909268i | \(0.636643\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.424678 | − | 2.40847i | 0.0216436 | − | 0.122747i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 11.1998 | + | 19.3986i | 0.569318 | + | 0.986088i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −2.56031 | + | 2.14835i | −0.129813 | + | 0.108926i | −0.705383 | − | 0.708827i | \(-0.749225\pi\) |
0.575570 | + | 0.817753i | \(0.304780\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −9.82295 | + | 17.0138i | −0.496768 | + | 0.860427i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −12.1493 | − | 4.42198i | −0.612851 | − | 0.223060i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 2.29473 | + | 13.0141i | 0.115460 | + | 0.654808i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −10.0530 | − | 8.43550i | −0.504547 | − | 0.423365i | 0.354658 | − | 0.934996i | \(-0.384597\pi\) |
−0.859206 | + | 0.511631i | \(0.829042\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 3.37939 | − | 2.75314i | 0.169181 | − | 0.137829i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 13.1099 | + | 11.0005i | 0.654679 | + | 0.549341i | 0.908487 | − | 0.417914i | \(-0.137239\pi\) |
−0.253808 | + | 0.967255i | \(0.581683\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.81046 | + | 10.2676i | 0.0901854 | + | 0.511467i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 6.76991 | + | 2.46405i | 0.336400 | + | 0.122440i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 2.43242 | − | 4.21307i | 0.120571 | − | 0.208834i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −6.73964 | + | 5.65523i | −0.333254 | + | 0.279633i | −0.794024 | − | 0.607886i | \(-0.792018\pi\) |
0.460770 | + | 0.887519i | \(0.347573\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −3.33022 | − | 5.76811i | −0.164268 | − | 0.284520i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −1.04710 | + | 5.93842i | −0.0515246 | + | 0.292211i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −15.5954 | + | 5.67626i | −0.765548 | + | 0.278637i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 1.08378 | 0.0530728 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −6.84018 | −0.334165 | −0.167082 | − | 0.985943i | \(-0.553435\pi\) | ||||
−0.167082 | + | 0.985943i | \(0.553435\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 4.53209 | − | 1.64955i | 0.220880 | − | 0.0803939i | −0.229210 | − | 0.973377i | \(-0.573614\pi\) |
0.450090 | + | 0.892983i | \(0.351392\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0.256549 | − | 1.45496i | 0.0124738 | − | 0.0707426i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 6.17752 | + | 10.6998i | 0.299654 | + | 0.519015i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 5.30200 | − | 4.44891i | 0.256582 | − | 0.215298i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −1.05051 | + | 1.81953i | −0.0507190 | + | 0.0878478i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 1.22503 | + | 0.445875i | 0.0590077 | + | 0.0214771i | 0.371355 | − | 0.928491i | \(-0.378893\pi\) |
−0.312348 | + | 0.949968i | \(0.601115\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 3.44238 | + | 19.5227i | 0.165430 | + | 0.938202i | 0.948620 | + | 0.316419i | \(0.102480\pi\) |
−0.783189 | + | 0.621783i | \(0.786409\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 3.13429 | + | 2.62998i | 0.150277 | + | 0.126098i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −22.0719 | − | 0.320070i | −1.05584 | − | 0.0153110i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 26.4800 | + | 22.2193i | 1.26382 | + | 1.06047i | 0.995264 | + | 0.0972078i | \(0.0309912\pi\) |
0.268557 | + | 0.963264i | \(0.413453\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.07960 | + | 11.7940i | 0.0990287 | + | 0.561620i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 15.9843 | + | 5.81780i | 0.759436 | + | 0.276412i | 0.692571 | − | 0.721350i | \(-0.256478\pi\) |
0.0668650 | + | 0.997762i | \(0.478700\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.63429 | + | 2.83067i | −0.0774726 | + | 0.134186i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 5.60354 | − | 4.70193i | 0.265038 | − | 0.222394i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −18.7049 | − | 32.3978i | −0.882737 | − | 1.52895i | −0.848286 | − | 0.529539i | \(-0.822365\pi\) |
−0.0344512 | − | 0.999406i | \(-0.510968\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2.05438 | + | 11.6510i | −0.0967369 | + | 0.548622i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −6.77244 | + | 2.46497i | −0.318197 | + | 0.115814i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 5.60813 | 0.262913 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 9.11112 | 0.426200 | 0.213100 | − | 0.977030i | \(-0.431644\pi\) | ||||
0.213100 | + | 0.977030i | \(0.431644\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 13.2626 | − | 4.82721i | 0.619047 | − | 0.225315i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −4.24540 | + | 24.0769i | −0.197728 | + | 1.12137i | 0.710751 | + | 0.703443i | \(0.248355\pi\) |
−0.908480 | + | 0.417929i | \(0.862756\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −0.125362 | − | 0.217134i | −0.00582609 | − | 0.0100911i | 0.863098 | − | 0.505037i | \(-0.168521\pi\) |
−0.868924 | + | 0.494946i | \(0.835188\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −2.58512 | + | 2.16918i | −0.119882 | + | 0.100593i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 7.68092 | − | 13.3037i | 0.355431 | − | 0.615624i | −0.631761 | − | 0.775163i | \(-0.717668\pi\) |
0.987192 | + | 0.159539i | \(0.0510009\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 5.59627 | + | 2.03687i | 0.258412 | + | 0.0940541i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1.24598 | + | 7.06629i | 0.0574116 | + | 0.325597i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 7.89827 | + | 6.62744i | 0.363163 | + | 0.304730i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −7.11468 | + | 11.9204i | −0.326444 | + | 0.546946i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −5.80406 | − | 4.87019i | −0.265750 | − | 0.222991i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 0.124896 | + | 0.708319i | 0.00570663 | + | 0.0323639i | 0.987528 | − | 0.157443i | \(-0.0503250\pi\) |
−0.981821 | + | 0.189807i | \(0.939214\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 10.4829 | + | 3.81547i | 0.477980 | + | 0.173971i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 2.53209 | − | 4.38571i | 0.115214 | − | 0.199557i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −7.60607 | + | 6.38225i | −0.345374 | + | 0.289803i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 5.87346 | + | 10.1731i | 0.266152 | + | 0.460988i | 0.967865 | − | 0.251471i | \(-0.0809145\pi\) |
−0.701713 | + | 0.712460i | \(0.747581\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0.717759 | − | 4.07061i | 0.0324582 | − | 0.184079i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 0.0834734 | − | 0.0303818i | 0.00376710 | − | 0.00137111i | −0.340136 | − | 0.940376i | \(-0.610473\pi\) |
0.343903 | + | 0.939005i | \(0.388251\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −18.0496 | −0.812914 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 4.10876 | 0.184675 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 9.98545 | − | 3.63441i | 0.447909 | − | 0.163025i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −2.55097 | + | 14.4673i | −0.114197 | + | 0.647645i | 0.872947 | + | 0.487815i | \(0.162206\pi\) |
−0.987145 | + | 0.159830i | \(0.948905\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −4.49660 | − | 7.78833i | −0.200893 | − | 0.347957i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 3.75671 | − | 3.15225i | 0.167503 | − | 0.140552i | −0.555183 | − | 0.831728i | \(-0.687352\pi\) |
0.722686 | + | 0.691176i | \(0.242907\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.46198 | − | 2.53223i | 0.0650573 | − | 0.112683i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 3.44609 | + | 1.25427i | 0.153046 | + | 0.0557043i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 1.11375 | + | 6.31640i | 0.0493662 | + | 0.279969i | 0.999491 | − | 0.0319002i | \(-0.0101559\pi\) |
−0.950125 | + | 0.311870i | \(0.899045\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −7.19253 | − | 6.03525i | −0.318179 | − | 0.266984i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 11.9991 | + | 10.3686i | 0.529774 | + | 0.457786i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −12.8760 | − | 10.8042i | −0.567384 | − | 0.476091i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.118089 | − | 0.669713i | −0.00519353 | − | 0.0294540i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −15.4851 | − | 5.63613i | −0.679723 | − | 0.247399i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 17.9067 | − | 31.0154i | 0.784508 | − | 1.35881i | −0.144785 | − | 0.989463i | \(-0.546249\pi\) |
0.929293 | − | 0.369344i | \(-0.120418\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −29.7015 | + | 24.9225i | −1.29875 | + | 1.08978i | −0.308395 | + | 0.951258i | \(0.599792\pi\) |
−0.990359 | + | 0.138526i | \(0.955764\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −1.59240 | − | 2.75811i | −0.0694979 | − | 0.120374i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 2.58512 | − | 14.6610i | 0.112610 | − | 0.638641i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −2.48633 | + | 0.904950i | −0.108101 | + | 0.0393456i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −10.1307 | −0.439636 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −27.1293 | −1.17510 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 8.45723 | − | 3.07818i | 0.365638 | − | 0.133081i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −0.660855 | + | 3.74789i | −0.0285180 | + | 0.161734i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 2.75624 | + | 4.77396i | 0.118720 | + | 0.205629i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 7.26991 | − | 6.10018i | 0.312558 | − | 0.262267i | −0.472990 | − | 0.881068i | \(-0.656825\pi\) |
0.785548 | + | 0.618800i | \(0.212381\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −4.42602 | + | 7.66610i | −0.189939 | + | 0.328984i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 11.9684 | + | 4.35613i | 0.512669 | + | 0.186596i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.46791 | − | 13.9962i | −0.105520 | − | 0.598435i | −0.991011 | − | 0.133779i | \(-0.957289\pi\) |
0.885491 | − | 0.464657i | \(-0.153822\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 8.90760 | + | 7.47437i | 0.380167 | + | 0.318998i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −9.88460 | − | 17.7088i | −0.421098 | − | 0.754418i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 11.5116 | + | 9.65939i | 0.489524 | + | 0.410759i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0.627011 | + | 3.55596i | 0.0266152 | + | 0.150942i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −21.1805 | − | 7.70908i | −0.897447 | − | 0.326644i | −0.148218 | − | 0.988955i | \(-0.547354\pi\) |
−0.749229 | + | 0.662311i | \(0.769576\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −11.8216 | + | 20.4756i | −0.500001 | + | 0.866026i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 2.29813 | − | 1.92836i | 0.0970273 | − | 0.0814155i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −21.4859 | − | 37.2147i | −0.905524 | − | 1.56841i | −0.820213 | − | 0.572058i | \(-0.806145\pi\) |
−0.0853106 | − | 0.996354i | \(-0.527188\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.306589 | + | 1.73875i | −0.0128983 | + | 0.0731500i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 7.69846 | − | 2.80201i | 0.323305 | − | 0.117673i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 7.42696 | 0.311354 | 0.155677 | − | 0.987808i | \(-0.450244\pi\) | ||||
0.155677 | + | 0.987808i | \(0.450244\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −4.04458 | −0.169260 | −0.0846301 | − | 0.996412i | \(-0.526971\pi\) | ||||
−0.0846301 | + | 0.996412i | \(0.526971\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −6.30763 | + | 2.29579i | −0.263505 | + | 0.0959080i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −2.80066 | + | 15.8833i | −0.116796 | + | 0.662381i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −1.61721 | − | 2.80109i | −0.0673254 | − | 0.116611i | 0.830398 | − | 0.557171i | \(-0.188113\pi\) |
−0.897723 | + | 0.440560i | \(0.854780\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 6.90033 | − | 5.79006i | 0.286768 | − | 0.240627i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −9.43629 | + | 16.3441i | −0.391483 | + | 0.678069i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −3.27719 | − | 1.19280i | −0.135727 | − | 0.0494007i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 1.63610 | + | 9.27876i | 0.0676443 | + | 0.383630i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 31.2610 | + | 26.2311i | 1.29028 | + | 1.08267i | 0.991738 | + | 0.128279i | \(0.0409452\pi\) |
0.298543 | + | 0.954396i | \(0.403499\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 15.7998 | − | 5.49254i | 0.651019 | − | 0.226316i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −3.97044 | − | 3.33159i | −0.163322 | − | 0.137043i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −1.92127 | − | 10.8961i | −0.0788973 | − | 0.447449i | −0.998507 | − | 0.0546164i | \(-0.982606\pi\) |
0.919610 | − | 0.392832i | \(-0.128505\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −7.52481 | − | 2.73881i | −0.308487 | − | 0.112280i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 8.82295 | − | 15.2818i | 0.361099 | − | 0.625442i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 34.1332 | − | 28.6411i | 1.39464 | − | 1.17024i | 0.431224 | − | 0.902245i | \(-0.358082\pi\) |
0.963419 | − | 0.268000i | \(-0.0863626\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 2.49953 | + | 4.32932i | 0.101958 | + | 0.176597i | 0.912491 | − | 0.409096i | \(-0.134156\pi\) |
−0.810533 | + | 0.585693i | \(0.800823\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −1.73742 | + | 9.85337i | −0.0707530 | + | 0.401260i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −12.1493 | + | 4.42198i | −0.493939 | + | 0.179779i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 31.1881 | 1.26589 | 0.632943 | − | 0.774199i | \(-0.281847\pi\) | ||||
0.632943 | + | 0.774199i | \(0.281847\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 4.65270 | 0.188537 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 1.46538 | − | 0.533356i | 0.0592831 | − | 0.0215773i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 2.84255 | − | 16.1209i | 0.114809 | − | 0.651117i | −0.872035 | − | 0.489444i | \(-0.837200\pi\) |
0.986844 | − | 0.161673i | \(-0.0516890\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −4.39053 | − | 7.60462i | −0.177043 | − | 0.306648i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 12.3014 | − | 10.3221i | 0.495235 | − | 0.415551i | −0.360663 | − | 0.932696i | \(-0.617450\pi\) |
0.855898 | + | 0.517145i | \(0.173005\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 11.9213 | − | 20.6483i | 0.479156 | − | 0.829923i | −0.520558 | − | 0.853826i | \(-0.674276\pi\) |
0.999714 | + | 0.0239031i | \(0.00760931\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 17.3131 | + | 6.30147i | 0.694753 | + | 0.252869i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0.645430 | + | 3.66041i | 0.0258586 | + | 0.146651i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.817267 | + | 0.685768i | 0.0326907 | + | 0.0274307i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 3.15048 | + | 1.19869i | 0.125818 | + | 0.0478712i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −12.2023 | − | 10.2390i | −0.486539 | − | 0.408255i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −3.72874 | − | 21.1467i | −0.148439 | − | 0.841838i | −0.964541 | − | 0.263931i | \(-0.914981\pi\) |
0.816103 | − | 0.577907i | \(-0.196130\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −4.95084 | − | 1.80196i | −0.196778 | − | 0.0716214i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 9.76991 | − | 16.9220i | 0.387707 | − | 0.671529i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −9.68345 | + | 8.12538i | −0.383672 | + | 0.321939i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 8.92633 | + | 15.4609i | 0.353120 | + | 0.611622i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 2.21466 | − | 12.5600i | 0.0874738 | − | 0.496089i | −0.909322 | − | 0.416094i | \(-0.863399\pi\) |
0.996795 | − | 0.0799944i | \(-0.0254902\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 26.8828 | − | 9.78456i | 1.06016 | − | 0.385865i | 0.247669 | − | 0.968845i | \(-0.420335\pi\) |
0.812487 | + | 0.582979i | \(0.198113\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −7.65270 | −0.301325 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −16.7128 | −0.657046 | −0.328523 | − | 0.944496i | \(-0.606551\pi\) | ||||
−0.328523 | + | 0.944496i | \(0.606551\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −4.38191 | + | 1.59489i | −0.172005 | + | 0.0626047i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.666374 | + | 3.77920i | −0.0261173 | + | 0.148118i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −13.5000 | − | 23.3827i | −0.528296 | − | 0.915035i | −0.999456 | − | 0.0329874i | \(-0.989498\pi\) |
0.471160 | − | 0.882048i | \(-0.343835\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −20.4440 | + | 17.1546i | −0.798814 | + | 0.670285i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 7.88713 | − | 13.6609i | 0.307706 | − | 0.532963i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −41.2533 | − | 15.0150i | −1.60700 | − | 0.584900i | −0.626157 | − | 0.779697i | \(-0.715373\pi\) |
−0.980844 | + | 0.194797i | \(0.937595\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.86777 | − | 10.5927i | −0.0726480 | − | 0.412007i | −0.999345 | − | 0.0361971i | \(-0.988476\pi\) |
0.926697 | − | 0.375810i | \(-0.122636\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 5.26991 | + | 4.42198i | 0.204667 | + | 0.171736i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −1.43376 | − | 8.88257i | −0.0555989 | − | 0.344451i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −18.0496 | − | 15.1454i | −0.698884 | − | 0.586434i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 1.75402 | + | 9.94756i | 0.0678144 | + | 0.384595i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 5.02956 | + | 1.83061i | 0.194164 | + | 0.0706700i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −2.32888 | + | 4.03374i | −0.0897717 | + | 0.155489i | −0.907415 | − | 0.420237i | \(-0.861947\pi\) |
0.817643 | + | 0.575726i | \(0.195280\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 8.87598 | − | 7.44783i | 0.341637 | − | 0.286667i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −1.63429 | − | 2.83067i | −0.0628107 | − | 0.108791i | 0.832910 | − | 0.553408i | \(-0.186673\pi\) |
−0.895721 | + | 0.444617i | \(0.853340\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.96064 | + | 11.1193i | −0.0752423 | + | 0.426721i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 6.05525 | − | 2.20393i | 0.232038 | − | 0.0844549i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −6.21894 | −0.237961 | −0.118981 | − | 0.992897i | \(-0.537963\pi\) | ||||
−0.118981 | + | 0.992897i | \(0.537963\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −13.7483 | −0.525297 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −12.3397 | + | 4.49129i | −0.470790 | + | 0.171353i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 1.38872 | − | 7.87581i | 0.0529060 | − | 0.300045i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 11.1088 | + | 19.2409i | 0.422597 | + | 0.731959i | 0.996193 | − | 0.0871792i | \(-0.0277853\pi\) |
−0.573596 | + | 0.819139i | \(0.694452\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 3.57919 | − | 3.00330i | 0.135962 | − | 0.114086i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 1.11856 | − | 1.93739i | 0.0424292 | − | 0.0734896i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 36.4013 | + | 13.2490i | 1.37880 | + | 0.501841i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0.400634 | + | 2.27211i | 0.0151534 | + | 0.0859391i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −21.2750 | − | 17.8518i | −0.803544 | − | 0.674254i | 0.145513 | − | 0.989356i | \(-0.453517\pi\) |
−0.949058 | + | 0.315102i | \(0.897961\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 3.36319 | − | 17.5791i | 0.126845 | − | 0.663008i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0.386659 | + | 0.324446i | 0.0145624 | + | 0.0122193i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −0.577382 | − | 3.27449i | −0.0217147 | − | 0.123150i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 5.73947 | + | 2.08900i | 0.215551 | + | 0.0784540i | 0.447538 | − | 0.894265i | \(-0.352301\pi\) |
−0.231988 | + | 0.972719i | \(0.574523\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −12.6233 | + | 21.8642i | −0.473411 | + | 0.819972i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 14.8871 | − | 12.4918i | 0.557527 | − | 0.467821i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.16843 | + | 3.75584i | 0.0810948 | + | 0.140460i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −1.35710 | + | 7.69648i | −0.0506817 | + | 0.287430i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 36.3885 | − | 13.2443i | 1.35706 | − | 0.493930i | 0.441917 | − | 0.897056i | \(-0.354299\pi\) |
0.915144 | + | 0.403126i | \(0.132076\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −19.1138 | −0.711835 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 8.42097 | 0.313179 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −13.9243 | + | 5.06802i | −0.517134 | + | 0.188221i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 1.92366 | − | 10.9096i | 0.0713445 | − | 0.404615i | −0.928132 | − | 0.372252i | \(-0.878586\pi\) |
0.999476 | − | 0.0323628i | \(-0.0103032\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 3.31996 | + | 5.75033i | 0.122961 | + | 0.212975i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 25.8614 | − | 21.7003i | 0.956520 | − | 0.802615i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 7.90373 | − | 13.6897i | 0.291931 | − | 0.505639i | −0.682335 | − | 0.731039i | \(-0.739036\pi\) |
0.974266 | + | 0.225400i | \(0.0723689\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −3.84477 | − | 1.39938i | −0.141816 | − | 0.0516170i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 0.799726 | + | 4.53547i | 0.0294583 | + | 0.167066i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −1.18685 | − | 0.995887i | −0.0436591 | − | 0.0366343i | 0.620697 | − | 0.784050i | \(-0.286850\pi\) |
−0.664356 | + | 0.747416i | \(0.731294\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −1.45249 | + | 7.59202i | −0.0533584 | + | 0.278900i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −29.2349 | − | 24.5310i | −1.07252 | − | 0.899955i | −0.0772453 | − | 0.997012i | \(-0.524612\pi\) |
−0.995279 | + | 0.0970576i | \(0.969057\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.62196 | − | 14.8699i | −0.0960611 | − | 0.544790i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −29.7946 | − | 10.8444i | −1.09013 | − | 0.396774i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 5.11721 | − | 8.86327i | 0.186979 | − | 0.323857i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 19.4179 | − | 16.2935i | 0.708568 | − | 0.594559i | −0.215629 | − | 0.976475i | \(-0.569180\pi\) |
0.924197 | + | 0.381916i | \(0.124736\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 4.68732 | + | 8.11867i | 0.170815 | + | 0.295861i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −2.58331 | + | 14.6507i | −0.0940163 | + | 0.533193i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −39.8153 | + | 14.4916i | −1.44711 | + | 0.526705i | −0.941783 | − | 0.336222i | \(-0.890851\pi\) |
−0.505328 | + | 0.862927i | \(0.668628\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 3.91622 | 0.142150 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −2.85710 | −0.103570 | −0.0517848 | − | 0.998658i | \(-0.516491\pi\) | ||||
−0.0517848 | + | 0.998658i | \(0.516491\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 13.6099 | − | 4.95361i | 0.492713 | − | 0.179333i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 2.33615 | − | 13.2490i | 0.0844638 | − | 0.479018i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −5.34658 | − | 9.26055i | −0.193054 | − | 0.334379i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 14.6472 | − | 12.2905i | 0.528193 | − | 0.443207i | −0.339284 | − | 0.940684i | \(-0.610185\pi\) |
0.867477 | + | 0.497477i | \(0.165740\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −1.62449 | + | 2.81369i | −0.0585044 | + | 0.101333i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −2.36319 | − | 0.860130i | −0.0849980 | − | 0.0309367i | 0.299171 | − | 0.954199i | \(-0.403290\pi\) |
−0.384169 | + | 0.923263i | \(0.625512\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −2.12226 | − | 12.0360i | −0.0762340 | − | 0.432344i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 3.14543 | + | 2.63933i | 0.112842 | + | 0.0946854i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 6.93582 | + | 42.9694i | 0.248502 | + | 1.53954i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 6.29498 | + | 5.28211i | 0.225252 | + | 0.189009i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 2.93939 | + | 16.6701i | 0.105045 | + | 0.595741i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 13.9179 | + | 5.06569i | 0.496750 | + | 0.180802i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 1.36303 | − | 2.36083i | 0.0485866 | − | 0.0841545i | −0.840709 | − | 0.541487i | \(-0.817862\pi\) |
0.889296 | + | 0.457332i | \(0.151195\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 12.0214 | − | 10.0872i | 0.427974 | − | 0.359112i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 1.00387 | + | 1.73875i | 0.0356935 | + | 0.0618230i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2.13129 | + | 12.0872i | −0.0756844 | + | 0.429228i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 2.43242 | − | 0.885328i | 0.0862690 | − | 0.0313993i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 22.0327 | 0.780439 | 0.390219 | − | 0.920722i | \(-0.372399\pi\) | ||||
0.390219 | + | 0.920722i | \(0.372399\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −2.22668 | −0.0787743 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −5.86794 | + | 2.13575i | −0.207333 | + | 0.0754632i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 1.26083 | − | 7.15052i | 0.0444937 | − | 0.252336i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −5.22668 | − | 9.05288i | −0.184216 | − | 0.319072i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −6.55556 | + | 5.50077i | −0.230767 | + | 0.193636i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −27.3603 | + | 47.3893i | −0.961935 | + | 1.66612i | −0.244302 | + | 0.969699i | \(0.578559\pi\) |
−0.717633 | + | 0.696422i | \(0.754774\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −2.17112 | − | 0.790224i | −0.0762384 | − | 0.0277485i | 0.303619 | − | 0.952793i | \(-0.401805\pi\) |
−0.379858 | + | 0.925045i | \(0.624027\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 3.01145 | + | 17.0788i | 0.105616 | + | 0.598979i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −6.53596 | − | 5.48432i | −0.228945 | − | 0.192107i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 35.4531 | + | 13.4892i | 1.24035 | + | 0.471927i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 8.20755 | + | 6.88695i | 0.286795 | + | 0.240650i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 0.192944 | + | 1.09424i | 0.00673379 | + | 0.0381892i | 0.987990 | − | 0.154521i | \(-0.0493834\pi\) |
−0.981256 | + | 0.192710i | \(0.938272\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 19.4024 | + | 7.06191i | 0.676327 | + | 0.246163i | 0.657270 | − | 0.753656i | \(-0.271711\pi\) |
0.0190572 | + | 0.999818i | \(0.493934\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 1.23143 | − | 2.13290i | 0.0428729 | − | 0.0742580i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −27.8116 | + | 23.3367i | −0.967103 | + | 0.811495i | −0.982094 | − | 0.188392i | \(-0.939672\pi\) |
0.0149913 | + | 0.999888i | \(0.495228\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 3.57486 | + | 6.19183i | 0.124160 | + | 0.215051i | 0.921404 | − | 0.388606i | \(-0.127043\pi\) |
−0.797244 | + | 0.603657i | \(0.793710\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −1.87134 | + | 10.6129i | −0.0649161 | + | 0.368157i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 16.9611 | − | 6.17334i | 0.587667 | − | 0.213893i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −18.5635 | −0.642418 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −13.9614 | −0.482577 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −32.5197 | + | 11.8362i | −1.12270 | + | 0.408631i | −0.835638 | − | 0.549280i | \(-0.814902\pi\) |
−0.287065 | + | 0.957911i | \(0.592680\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −1.27672 | + | 7.24065i | −0.0440249 | + | 0.249678i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 6.32800 | + | 10.9604i | 0.217948 | + | 0.377497i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 5.79885 | − | 4.86581i | 0.199486 | − | 0.167389i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −7.35117 | + | 12.7326i | −0.252589 | + | 0.437497i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −6.93717 | − | 2.52492i | −0.238083 | − | 0.0866551i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −3.61081 | − | 20.4779i | −0.123777 | − | 0.701975i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 25.4716 | + | 21.3732i | 0.872132 | + | 0.731805i | 0.964546 | − | 0.263915i | \(-0.0850139\pi\) |
−0.0924142 | + | 0.995721i | \(0.529458\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 14.2781 | − | 4.96356i | 0.488301 | − | 0.169750i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −2.97700 | − | 2.49800i | −0.101692 | − | 0.0853299i | 0.590524 | − | 0.807020i | \(-0.298921\pi\) |
−0.692216 | + | 0.721690i | \(0.743366\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −0.287866 | − | 1.63257i | −0.00982187 | − | 0.0557026i | 0.979503 | − | 0.201430i | \(-0.0645589\pi\) |
−0.989325 | + | 0.145727i | \(0.953448\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −9.38326 | − | 3.41523i | −0.319780 | − | 0.116391i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −26.3594 | + | 45.6558i | −0.897284 | + | 1.55414i | −0.0663308 | + | 0.997798i | \(0.521129\pi\) |
−0.830953 | + | 0.556343i | \(0.812204\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −26.0574 | + | 21.8647i | −0.885977 | + | 0.743423i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0.636507 | + | 1.10246i | 0.0216169 | + | 0.0374416i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −2.01795 | + | 11.4444i | −0.0684543 | + | 0.388224i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −9.92396 | + | 3.61203i | −0.336261 | + | 0.122389i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −18.9691 | −0.642008 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −16.8949 | −0.571151 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 19.9119 | − | 7.24735i | 0.672378 | − | 0.244726i | 0.0168069 | − | 0.999859i | \(-0.494650\pi\) |
0.655572 | + | 0.755133i | \(0.272428\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0.441914 | − | 2.50622i | 0.0149054 | − | 0.0845327i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −16.0505 | − | 27.8003i | −0.540755 | − | 0.936616i | −0.998861 | − | 0.0477179i | \(-0.984805\pi\) |
0.458106 | − | 0.888898i | \(-0.348528\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 36.2315 | − | 30.4018i | 1.21929 | − | 1.02310i | 0.220425 | − | 0.975404i | \(-0.429256\pi\) |
0.998862 | − | 0.0476989i | \(-0.0151888\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 1.73055 | − | 2.99740i | 0.0581719 | − | 0.100757i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 9.92602 | + | 3.61278i | 0.333283 | + | 0.121305i | 0.503241 | − | 0.864146i | \(-0.332141\pi\) |
−0.169958 | + | 0.985451i | \(0.554363\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −3.85844 | − | 21.8823i | −0.129408 | − | 0.733909i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 4.85323 | + | 4.07234i | 0.162589 | + | 0.136429i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −1.21941 | − | 2.18463i | −0.0408059 | − | 0.0731059i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 6.01779 | + | 5.04952i | 0.201153 | + | 0.168787i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 1.55943 | + | 8.84397i | 0.0520679 | + | 0.295291i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 16.7780 | + | 6.10668i | 0.559576 | + | 0.203669i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −5.70961 | + | 9.88933i | −0.190215 | + | 0.329461i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −6.66637 | + | 5.59375i | −0.221843 | + | 0.186148i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 9.13610 | + | 15.8242i | 0.303694 | + | 0.526014i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −7.45306 | + | 42.2684i | −0.247475 | + | 1.40350i | 0.567200 | + | 0.823580i | \(0.308027\pi\) |
−0.814674 | + | 0.579919i | \(0.803084\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 5.24928 | − | 1.91058i | 0.174107 | − | 0.0633699i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 55.1411 | 1.82691 | 0.913454 | − | 0.406942i | \(-0.133405\pi\) | ||||
0.913454 | + | 0.406942i | \(0.133405\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −14.5945 | −0.483008 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −3.73308 | + | 1.35873i | −0.123412 | + | 0.0449182i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −5.26991 | + | 29.8872i | −0.174028 | + | 0.986961i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −12.2788 | − | 21.2676i | −0.405041 | − | 0.701552i | 0.589285 | − | 0.807925i | \(-0.299410\pi\) |
−0.994326 | + | 0.106373i | \(0.966076\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −11.5876 | + | 9.72319i | −0.381826 | + | 0.320390i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −9.42190 | + | 16.3192i | −0.310126 | + | 0.537154i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −12.2883 | − | 4.47259i | −0.404038 | − | 0.147058i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −5.57620 | − | 31.6242i | −0.183146 | − | 1.03867i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −17.0654 | − | 14.3195i | −0.559896 | − | 0.469809i | 0.318379 | − | 0.947963i | \(-0.396861\pi\) |
−0.878276 | + | 0.478155i | \(0.841306\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 15.3452 | + | 13.2601i | 0.502920 | + | 0.434581i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 1.73055 | + | 1.45211i | 0.0566557 | + | 0.0475398i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −1.07532 | − | 6.09845i | −0.0351668 | − | 0.199441i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 8.97565 | + | 3.26687i | 0.293222 | + | 0.106724i | 0.484443 | − | 0.874823i | \(-0.339022\pi\) |
−0.191221 | + | 0.981547i | \(0.561245\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 7.47013 | − | 12.9386i | 0.243779 | − | 0.422237i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −42.6883 | + | 35.8197i | −1.39160 | + | 1.16769i | −0.426909 | + | 0.904295i | \(0.640398\pi\) |
−0.964688 | + | 0.263394i | \(0.915158\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 25.2841 | + | 43.7933i | 0.823362 | + | 1.42610i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −1.30406 | + | 7.39571i | −0.0424212 | + | 0.240582i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −25.4119 | + | 9.24919i | −0.825777 | + | 0.300558i | −0.720125 | − | 0.693845i | \(-0.755915\pi\) |
−0.105653 | + | 0.994403i | \(0.533693\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 16.6500 | 0.540482 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 17.0490 | 0.552852 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −21.7361 | + | 7.91128i | −0.704100 | + | 0.256272i | −0.669161 | − | 0.743118i | \(-0.733346\pi\) |
−0.0349398 | + | 0.999389i | \(0.511124\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −2.40601 | + | 13.6452i | −0.0778567 | + | 0.441547i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 1.79901 | + | 3.11598i | 0.0581538 | + | 0.100725i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −11.9764 | + | 10.0494i | −0.386737 | + | 0.324511i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 8.13681 | − | 14.0934i | 0.262478 | − | 0.454625i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 16.1573 | + | 5.88079i | 0.520663 | + | 0.189506i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −3.22874 | − | 18.3111i | −0.103937 | − | 0.589455i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −29.9026 | − | 25.0913i | −0.961603 | − | 0.806881i | 0.0196101 | − | 0.999808i | \(-0.493758\pi\) |
−0.981213 | + | 0.192927i | \(0.938202\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 5.65657 | − | 9.47740i | 0.181715 | − | 0.304458i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 31.5631 | + | 26.4845i | 1.01291 | + | 0.849930i | 0.988720 | − | 0.149778i | \(-0.0478559\pi\) |
0.0241869 | + | 0.999707i | \(0.492300\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.441752 | − | 2.50530i | −0.0141619 | − | 0.0803162i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 5.30706 | + | 1.93161i | 0.169962 | + | 0.0618610i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −11.2469 | + | 19.4802i | −0.359821 | + | 0.623227i | −0.987931 | − | 0.154897i | \(-0.950495\pi\) |
0.628110 | + | 0.778125i | \(0.283829\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −2.20187 | + | 1.84759i | −0.0703720 | + | 0.0590491i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 12.1664 | + | 21.0728i | 0.388442 | + | 0.672802i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 7.73536 | − | 43.8694i | 0.246720 | − | 1.39922i | −0.569746 | − | 0.821821i | \(-0.692958\pi\) |
0.816465 | − | 0.577395i | \(-0.195931\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −10.0535 | + | 3.65917i | −0.320331 | + | 0.116591i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0.573978 | 0.0182699 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 44.0702 | 1.40135 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −42.5959 | + | 15.5036i | −1.35310 | + | 0.492489i | −0.913915 | − | 0.405907i | \(-0.866956\pi\) |
−0.439187 | + | 0.898395i | \(0.644734\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −2.15853 | + | 12.2416i | −0.0684988 | + | 0.388476i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −18.2121 | − | 31.5443i | −0.577363 | − | 1.00002i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −8.03667 | + | 6.74357i | −0.254524 | + | 0.213571i | −0.761117 | − | 0.648614i | \(-0.775349\pi\) |
0.506593 | + | 0.862185i | \(0.330905\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −7.46926 | + | 12.9371i | −0.236317 | + | 0.409313i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))