Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(101,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.l (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | no (minimal twist has level 190) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 101.3 | ||
Character | \(\chi\) | \(=\) | 950.101 |
Dual form | 950.2.l.l.301.3 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.766044 | + | 0.642788i | −0.541675 | + | 0.454519i | ||||
\(3\) | −0.0808150 | − | 0.0294142i | −0.0466585 | − | 0.0169823i | 0.318585 | − | 0.947894i | \(-0.396792\pi\) |
−0.365244 | + | 0.930912i | \(0.619014\pi\) | |||||||
\(4\) | 0.173648 | − | 0.984808i | 0.0868241 | − | 0.492404i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.0808150 | − | 0.0294142i | 0.0329926 | − | 0.0120083i | ||||
\(7\) | −1.91879 | + | 3.32344i | −0.725234 | + | 1.25614i | 0.233644 | + | 0.972322i | \(0.424935\pi\) |
−0.958878 | + | 0.283820i | \(0.908398\pi\) | |||||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | −2.29247 | − | 1.92361i | −0.764156 | − | 0.641203i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.81940 | − | 3.15129i | −0.548568 | − | 0.950148i | −0.998373 | − | 0.0570213i | \(-0.981840\pi\) |
0.449805 | − | 0.893127i | \(-0.351494\pi\) | |||||||
\(12\) | −0.0430007 | + | 0.0744795i | −0.0124132 | + | 0.0215004i | ||||
\(13\) | 5.10468 | − | 1.85795i | 1.41578 | − | 0.515303i | 0.482961 | − | 0.875642i | \(-0.339561\pi\) |
0.932821 | + | 0.360339i | \(0.117339\pi\) | |||||||
\(14\) | −0.666388 | − | 3.77928i | −0.178100 | − | 1.01005i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | 3.33279 | − | 2.79655i | 0.808321 | − | 0.678262i | −0.141885 | − | 0.989883i | \(-0.545316\pi\) |
0.950206 | + | 0.311621i | \(0.100872\pi\) | |||||||
\(18\) | 2.99260 | 0.705363 | ||||||||
\(19\) | 2.88277 | + | 3.26950i | 0.661353 | + | 0.750075i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.252823 | − | 0.212144i | 0.0551706 | − | 0.0462936i | ||||
\(22\) | 3.41935 | + | 1.24454i | 0.729007 | + | 0.265337i | ||||
\(23\) | −0.631806 | + | 3.58315i | −0.131741 | + | 0.747138i | 0.845333 | + | 0.534239i | \(0.179402\pi\) |
−0.977074 | + | 0.212899i | \(0.931709\pi\) | |||||||
\(24\) | −0.0149340 | − | 0.0846949i | −0.00304839 | − | 0.0172883i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −2.71614 | + | 4.70450i | −0.532679 | + | 0.922627i | ||||
\(27\) | 0.257686 | + | 0.446326i | 0.0495918 | + | 0.0858955i | ||||
\(28\) | 2.93976 | + | 2.46675i | 0.555561 | + | 0.466171i | ||||
\(29\) | 0.814552 | + | 0.683490i | 0.151258 | + | 0.126921i | 0.715277 | − | 0.698842i | \(-0.246301\pi\) |
−0.564018 | + | 0.825762i | \(0.690745\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.846669 | − | 1.46647i | 0.152066 | − | 0.263386i | −0.779921 | − | 0.625878i | \(-0.784741\pi\) |
0.931987 | + | 0.362492i | \(0.118074\pi\) | |||||||
\(32\) | 0.939693 | − | 0.342020i | 0.166116 | − | 0.0604612i | ||||
\(33\) | 0.0543417 | + | 0.308187i | 0.00945968 | + | 0.0536485i | ||||
\(34\) | −0.755483 | + | 4.28456i | −0.129564 | + | 0.734795i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −2.29247 | + | 1.92361i | −0.382078 | + | 0.320601i | ||||
\(37\) | 4.69909 | 0.772525 | 0.386263 | − | 0.922389i | \(-0.373766\pi\) | ||||
0.386263 | + | 0.922389i | \(0.373766\pi\) | |||||||
\(38\) | −4.30992 | − | 0.651573i | −0.699162 | − | 0.105699i | ||||
\(39\) | −0.467184 | −0.0748094 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 10.5664 | + | 3.84584i | 1.65019 | + | 0.600620i | 0.988777 | − | 0.149402i | \(-0.0477347\pi\) |
0.661413 | + | 0.750022i | \(0.269957\pi\) | |||||||
\(42\) | −0.0573104 | + | 0.325023i | −0.00884318 | + | 0.0501522i | ||||
\(43\) | 1.96605 | + | 11.1500i | 0.299820 | + | 1.70036i | 0.646940 | + | 0.762541i | \(0.276049\pi\) |
−0.347120 | + | 0.937821i | \(0.612840\pi\) | |||||||
\(44\) | −3.41935 | + | 1.24454i | −0.515486 | + | 0.187621i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.81921 | − | 3.15097i | −0.268228 | − | 0.464585i | ||||
\(47\) | −4.24968 | − | 3.56591i | −0.619880 | − | 0.520141i | 0.277886 | − | 0.960614i | \(-0.410366\pi\) |
−0.897766 | + | 0.440473i | \(0.854811\pi\) | |||||||
\(48\) | 0.0658810 | + | 0.0552807i | 0.00950910 | + | 0.00797908i | ||||
\(49\) | −3.86350 | − | 6.69178i | −0.551929 | − | 0.955969i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.351598 | + | 0.127971i | −0.0492335 | + | 0.0179195i | ||||
\(52\) | −0.943306 | − | 5.34975i | −0.130813 | − | 0.741877i | ||||
\(53\) | −0.464786 | + | 2.63593i | −0.0638433 | + | 0.362073i | 0.936103 | + | 0.351725i | \(0.114405\pi\) |
−0.999946 | + | 0.0103477i | \(0.996706\pi\) | |||||||
\(54\) | −0.484292 | − | 0.176268i | −0.0659038 | − | 0.0239870i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −3.83758 | −0.512818 | ||||||||
\(57\) | −0.136801 | − | 0.349019i | −0.0181198 | − | 0.0462287i | ||||
\(58\) | −1.06332 | −0.139621 | ||||||||
\(59\) | 8.09344 | − | 6.79121i | 1.05368 | − | 0.884140i | 0.0602014 | − | 0.998186i | \(-0.480826\pi\) |
0.993475 | + | 0.114046i | \(0.0363813\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.77122 | − | 10.0451i | 0.226781 | − | 1.28614i | −0.632469 | − | 0.774585i | \(-0.717959\pi\) |
0.859251 | − | 0.511555i | \(-0.170930\pi\) | |||||||
\(62\) | 0.294045 | + | 1.66761i | 0.0373438 | + | 0.211787i | ||||
\(63\) | 10.7918 | − | 3.92788i | 1.35963 | − | 0.494866i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −0.239727 | − | 0.201155i | −0.0295084 | − | 0.0247605i | ||||
\(67\) | 4.86807 | + | 4.08479i | 0.594729 | + | 0.499037i | 0.889747 | − | 0.456455i | \(-0.150881\pi\) |
−0.295017 | + | 0.955492i | \(0.595325\pi\) | |||||||
\(68\) | −2.17533 | − | 3.76778i | −0.263797 | − | 0.456910i | ||||
\(69\) | 0.156455 | − | 0.270988i | 0.0188350 | − | 0.0326231i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.369952 | − | 2.09810i | −0.0439052 | − | 0.248999i | 0.954954 | − | 0.296754i | \(-0.0959043\pi\) |
−0.998859 | + | 0.0477555i | \(0.984793\pi\) | |||||||
\(72\) | 0.519660 | − | 2.94714i | 0.0612425 | − | 0.347324i | ||||
\(73\) | 6.51525 | + | 2.37136i | 0.762553 | + | 0.277546i | 0.693878 | − | 0.720093i | \(-0.255901\pi\) |
0.0686747 | + | 0.997639i | \(0.478123\pi\) | |||||||
\(74\) | −3.59971 | + | 3.02052i | −0.418458 | + | 0.351128i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.72042 | − | 2.27123i | 0.426761 | − | 0.260528i | ||||
\(77\) | 13.9641 | 1.59136 | ||||||||
\(78\) | 0.357884 | − | 0.300300i | 0.0405224 | − | 0.0340023i | ||||
\(79\) | 7.31775 | + | 2.66344i | 0.823311 | + | 0.299661i | 0.719111 | − | 0.694896i | \(-0.244549\pi\) |
0.104200 | + | 0.994556i | \(0.466772\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.55128 | + | 8.79777i | 0.172365 | + | 0.977530i | ||||
\(82\) | −10.5664 | + | 3.84584i | −1.16686 | + | 0.424702i | ||||
\(83\) | 1.60303 | − | 2.77653i | 0.175956 | − | 0.304764i | −0.764536 | − | 0.644581i | \(-0.777032\pi\) |
0.940492 | + | 0.339817i | \(0.110365\pi\) | |||||||
\(84\) | −0.165019 | − | 0.285821i | −0.0180050 | − | 0.0311856i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −8.67318 | − | 7.27766i | −0.935253 | − | 0.784770i | ||||
\(87\) | −0.0457236 | − | 0.0791956i | −0.00490209 | − | 0.00849066i | ||||
\(88\) | 1.81940 | − | 3.15129i | 0.193948 | − | 0.335928i | ||||
\(89\) | −3.01370 | + | 1.09690i | −0.319452 | + | 0.116271i | −0.496769 | − | 0.867883i | \(-0.665480\pi\) |
0.177317 | + | 0.984154i | \(0.443258\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.62001 | + | 20.5301i | −0.379480 | + | 2.15214i | ||||
\(92\) | 3.41900 | + | 1.24441i | 0.356456 | + | 0.129739i | ||||
\(93\) | −0.111559 | + | 0.0936089i | −0.0115681 | + | 0.00970679i | ||||
\(94\) | 5.54757 | 0.572188 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −0.0860015 | −0.00877749 | ||||||||
\(97\) | −13.7657 | + | 11.5508i | −1.39770 | + | 1.17281i | −0.435590 | + | 0.900145i | \(0.643460\pi\) |
−0.962110 | + | 0.272663i | \(0.912095\pi\) | |||||||
\(98\) | 7.26101 | + | 2.64279i | 0.733472 | + | 0.266962i | ||||
\(99\) | −1.89093 | + | 10.7240i | −0.190046 | + | 1.07781i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 9.90858 | − | 3.60643i | 0.985941 | − | 0.358853i | 0.201793 | − | 0.979428i | \(-0.435323\pi\) |
0.784147 | + | 0.620575i | \(0.213101\pi\) | |||||||
\(102\) | 0.187081 | − | 0.324034i | 0.0185238 | − | 0.0320842i | ||||
\(103\) | −6.65638 | − | 11.5292i | −0.655873 | − | 1.13601i | −0.981674 | − | 0.190567i | \(-0.938967\pi\) |
0.325801 | − | 0.945438i | \(-0.394366\pi\) | |||||||
\(104\) | 4.16137 | + | 3.49180i | 0.408056 | + | 0.342400i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.33830 | − | 2.31800i | −0.129987 | − | 0.225144i | ||||
\(107\) | −3.73596 | + | 6.47086i | −0.361168 | + | 0.625562i | −0.988153 | − | 0.153469i | \(-0.950955\pi\) |
0.626985 | + | 0.779031i | \(0.284289\pi\) | |||||||
\(108\) | 0.484292 | − | 0.176268i | 0.0466010 | − | 0.0169614i | ||||
\(109\) | −0.916418 | − | 5.19727i | −0.0877770 | − | 0.497808i | −0.996723 | − | 0.0808935i | \(-0.974223\pi\) |
0.908946 | − | 0.416914i | \(-0.136888\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.379757 | − | 0.138220i | −0.0360449 | − | 0.0131193i | ||||
\(112\) | 2.93976 | − | 2.46675i | 0.277781 | − | 0.233086i | ||||
\(113\) | 5.35357 | 0.503621 | 0.251811 | − | 0.967777i | \(-0.418974\pi\) | ||||
0.251811 | + | 0.967777i | \(0.418974\pi\) | |||||||
\(114\) | 0.329141 | + | 0.179430i | 0.0308269 | + | 0.0168052i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0.814552 | − | 0.683490i | 0.0756292 | − | 0.0634605i | ||||
\(117\) | −15.2763 | − | 5.56011i | −1.41229 | − | 0.514032i | ||||
\(118\) | −1.83464 | + | 10.4047i | −0.168892 | + | 0.957833i | ||||
\(119\) | 2.89922 | + | 16.4423i | 0.265771 | + | 1.50726i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.12040 | + | 1.94059i | −0.101855 | + | 0.176417i | ||||
\(122\) | 5.10002 | + | 8.83349i | 0.461734 | + | 0.799747i | ||||
\(123\) | −0.740798 | − | 0.621603i | −0.0667955 | − | 0.0560481i | ||||
\(124\) | −1.29717 | − | 1.08846i | −0.116490 | − | 0.0977463i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −5.74217 | + | 9.94574i | −0.511554 | + | 0.886037i | ||||
\(127\) | 2.70333 | − | 0.983931i | 0.239882 | − | 0.0873098i | −0.219282 | − | 0.975662i | \(-0.570371\pi\) |
0.459163 | + | 0.888352i | \(0.348149\pi\) | |||||||
\(128\) | −0.173648 | − | 0.984808i | −0.0153485 | − | 0.0870455i | ||||
\(129\) | 0.169083 | − | 0.958918i | 0.0148869 | − | 0.0844280i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.45922 | − | 6.25903i | 0.651715 | − | 0.546854i | −0.255876 | − | 0.966710i | \(-0.582364\pi\) |
0.907591 | + | 0.419856i | \(0.137919\pi\) | |||||||
\(132\) | 0.312941 | 0.0272381 | ||||||||
\(133\) | −16.3974 | + | 3.30724i | −1.42184 | + | 0.286774i | ||||
\(134\) | −6.35481 | −0.548972 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 4.08828 | + | 1.48801i | 0.350567 | + | 0.127596i | ||||
\(137\) | 2.53551 | − | 14.3796i | 0.216623 | − | 1.22853i | −0.661444 | − | 0.749995i | \(-0.730056\pi\) |
0.878067 | − | 0.478537i | \(-0.158833\pi\) | |||||||
\(138\) | 0.0543362 | + | 0.308156i | 0.00462541 | + | 0.0262320i | ||||
\(139\) | −8.54372 | + | 3.10966i | −0.724669 | + | 0.263758i | −0.677907 | − | 0.735148i | \(-0.737113\pi\) |
−0.0467625 | + | 0.998906i | \(0.514890\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.238550 | + | 0.413180i | 0.0200895 | + | 0.0347960i | ||||
\(142\) | 1.63203 | + | 1.36944i | 0.136957 | + | 0.114921i | ||||
\(143\) | −15.1424 | − | 12.7059i | −1.26627 | − | 1.06252i | ||||
\(144\) | 1.49630 | + | 2.59167i | 0.124692 | + | 0.215973i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −6.51525 | + | 2.37136i | −0.539206 | + | 0.196255i | ||||
\(147\) | 0.115395 | + | 0.654438i | 0.00951762 | + | 0.0539771i | ||||
\(148\) | 0.815988 | − | 4.62770i | 0.0670738 | − | 0.380395i | ||||
\(149\) | 5.02344 | + | 1.82838i | 0.411536 | + | 0.149787i | 0.539488 | − | 0.841994i | \(-0.318618\pi\) |
−0.127951 | + | 0.991780i | \(0.540840\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 11.9187 | 0.969930 | 0.484965 | − | 0.874533i | \(-0.338832\pi\) | ||||
0.484965 | + | 0.874533i | \(0.338832\pi\) | |||||||
\(152\) | −1.39008 | + | 4.13130i | −0.112751 | + | 0.335093i | ||||
\(153\) | −13.0198 | −1.05259 | ||||||||
\(154\) | −10.6972 | + | 8.97598i | −0.862001 | + | 0.723305i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −0.0811257 | + | 0.460087i | −0.00649526 | + | 0.0368364i | ||||
\(157\) | 2.80848 | + | 15.9277i | 0.224141 | + | 1.27117i | 0.864320 | + | 0.502943i | \(0.167749\pi\) |
−0.640178 | + | 0.768227i | \(0.721139\pi\) | |||||||
\(158\) | −7.31775 | + | 2.66344i | −0.582169 | + | 0.211892i | ||||
\(159\) | 0.115096 | − | 0.199351i | 0.00912768 | − | 0.0158096i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −10.6961 | − | 8.97508i | −0.842969 | − | 0.707335i | ||||
\(162\) | −6.84345 | − | 5.74234i | −0.537672 | − | 0.451160i | ||||
\(163\) | 5.97258 | + | 10.3448i | 0.467808 | + | 0.810268i | 0.999323 | − | 0.0367810i | \(-0.0117104\pi\) |
−0.531515 | + | 0.847049i | \(0.678377\pi\) | |||||||
\(164\) | 5.62225 | − | 9.73802i | 0.439024 | − | 0.760412i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.556727 | + | 3.15736i | 0.0432104 | + | 0.245058i | ||||
\(167\) | 4.03336 | − | 22.8743i | 0.312110 | − | 1.77007i | −0.275874 | − | 0.961194i | \(-0.588967\pi\) |
0.587985 | − | 0.808872i | \(-0.299922\pi\) | |||||||
\(168\) | 0.310134 | + | 0.112879i | 0.0239273 | + | 0.00870884i | ||||
\(169\) | 12.6472 | − | 10.6122i | 0.972859 | − | 0.816326i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.319421 | − | 13.0405i | −0.0244267 | − | 0.997235i | ||||
\(172\) | 11.3220 | 0.863296 | ||||||||
\(173\) | 4.25454 | − | 3.56998i | 0.323467 | − | 0.271421i | −0.466565 | − | 0.884487i | \(-0.654509\pi\) |
0.790032 | + | 0.613066i | \(0.210064\pi\) | |||||||
\(174\) | 0.0859323 | + | 0.0312768i | 0.00651451 | + | 0.00237109i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.631869 | + | 3.58351i | 0.0476290 | + | 0.270117i | ||||
\(177\) | −0.853830 | + | 0.310769i | −0.0641778 | + | 0.0233588i | ||||
\(178\) | 1.60356 | − | 2.77745i | 0.120192 | − | 0.208178i | ||||
\(179\) | 0.219888 | + | 0.380858i | 0.0164352 | + | 0.0284667i | 0.874126 | − | 0.485699i | \(-0.161435\pi\) |
−0.857691 | + | 0.514166i | \(0.828102\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.72218 | − | 1.44508i | −0.128008 | − | 0.107412i | 0.576536 | − | 0.817072i | \(-0.304404\pi\) |
−0.704544 | + | 0.709660i | \(0.748849\pi\) | |||||||
\(182\) | −10.4234 | − | 18.0539i | −0.772634 | − | 1.33824i | ||||
\(183\) | −0.438609 | + | 0.759693i | −0.0324229 | + | 0.0561582i | ||||
\(184\) | −3.41900 | + | 1.24441i | −0.252052 | + | 0.0917395i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0.0252883 | − | 0.143417i | 0.00185423 | − | 0.0105159i | ||||
\(187\) | −14.8764 | − | 5.41456i | −1.08787 | − | 0.395952i | ||||
\(188\) | −4.24968 | + | 3.56591i | −0.309940 | + | 0.260071i | ||||
\(189\) | −1.97778 | −0.143863 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −3.39261 | −0.245481 | −0.122740 | − | 0.992439i | \(-0.539168\pi\) | ||||
−0.122740 | + | 0.992439i | \(0.539168\pi\) | |||||||
\(192\) | 0.0658810 | − | 0.0552807i | 0.00475455 | − | 0.00398954i | ||||
\(193\) | −15.7460 | − | 5.73106i | −1.13342 | − | 0.412531i | −0.293887 | − | 0.955840i | \(-0.594949\pi\) |
−0.839533 | + | 0.543309i | \(0.817171\pi\) | |||||||
\(194\) | 3.12044 | − | 17.6969i | 0.224035 | − | 1.27056i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −7.26101 | + | 2.64279i | −0.518643 | + | 0.188771i | ||||
\(197\) | 0.844789 | − | 1.46322i | 0.0601887 | − | 0.104250i | −0.834361 | − | 0.551218i | \(-0.814163\pi\) |
0.894550 | + | 0.446969i | \(0.147496\pi\) | |||||||
\(198\) | −5.44473 | − | 9.43055i | −0.386940 | − | 0.670200i | ||||
\(199\) | −9.70294 | − | 8.14174i | −0.687823 | − | 0.577152i | 0.230457 | − | 0.973082i | \(-0.425978\pi\) |
−0.918281 | + | 0.395930i | \(0.870422\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.273262 | − | 0.473303i | −0.0192744 | − | 0.0333842i | ||||
\(202\) | −5.27225 | + | 9.13180i | −0.370954 | + | 0.642511i | ||||
\(203\) | −3.83449 | + | 1.39564i | −0.269128 | + | 0.0979548i | ||||
\(204\) | 0.0649726 | + | 0.368478i | 0.00454899 | + | 0.0257986i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 12.5099 | + | 4.55323i | 0.871606 | + | 0.317239i | ||||
\(207\) | 8.34097 | − | 6.99891i | 0.579738 | − | 0.486458i | ||||
\(208\) | −5.43228 | −0.376661 | ||||||||
\(209\) | 5.05823 | − | 15.0329i | 0.349885 | − | 1.03985i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.40845 | + | 5.37733i | −0.441176 | + | 0.370191i | −0.836149 | − | 0.548502i | \(-0.815198\pi\) |
0.394973 | + | 0.918693i | \(0.370754\pi\) | |||||||
\(212\) | 2.51518 | + | 0.915450i | 0.172743 | + | 0.0628734i | ||||
\(213\) | −0.0318164 | + | 0.180440i | −0.00218003 | + | 0.0123635i | ||||
\(214\) | −1.29748 | − | 7.35840i | −0.0886942 | − | 0.503010i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −0.257686 | + | 0.446326i | −0.0175333 | + | 0.0303686i | ||||
\(217\) | 3.24916 | + | 5.62771i | 0.220567 | + | 0.382034i | ||||
\(218\) | 4.04276 | + | 3.39227i | 0.273810 | + | 0.229754i | ||||
\(219\) | −0.456778 | − | 0.383282i | −0.0308662 | − | 0.0258998i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 11.8170 | − | 20.4676i | 0.794897 | − | 1.37680i | ||||
\(222\) | 0.379757 | − | 0.138220i | 0.0254876 | − | 0.00927673i | ||||
\(223\) | −0.0222983 | − | 0.126460i | −0.00149320 | − | 0.00846837i | 0.984052 | − | 0.177881i | \(-0.0569241\pi\) |
−0.985545 | + | 0.169412i | \(0.945813\pi\) | |||||||
\(224\) | −0.666388 | + | 3.77928i | −0.0445249 | + | 0.252514i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −4.10107 | + | 3.44121i | −0.272799 | + | 0.228906i | ||||
\(227\) | 9.18019 | 0.609310 | 0.304655 | − | 0.952463i | \(-0.401459\pi\) | ||||
0.304655 | + | 0.952463i | \(0.401459\pi\) | |||||||
\(228\) | −0.367472 | + | 0.0741163i | −0.0243364 | + | 0.00490847i | ||||
\(229\) | 5.87648 | 0.388328 | 0.194164 | − | 0.980969i | \(-0.437801\pi\) | ||||
0.194164 | + | 0.980969i | \(0.437801\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −1.12851 | − | 0.410745i | −0.0742506 | − | 0.0270250i | ||||
\(232\) | −0.184644 | + | 1.04717i | −0.0121225 | + | 0.0687499i | ||||
\(233\) | −1.06889 | − | 6.06196i | −0.0700251 | − | 0.397132i | −0.999594 | − | 0.0284843i | \(-0.990932\pi\) |
0.929569 | − | 0.368648i | \(-0.120179\pi\) | |||||||
\(234\) | 15.2763 | − | 5.56011i | 0.998641 | − | 0.363476i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −5.28262 | − | 9.14977i | −0.343869 | − | 0.595599i | ||||
\(237\) | −0.513040 | − | 0.430492i | −0.0333255 | − | 0.0279635i | ||||
\(238\) | −12.7899 | − | 10.7320i | −0.829043 | − | 0.695650i | ||||
\(239\) | 1.02850 | + | 1.78141i | 0.0665282 | + | 0.115230i | 0.897371 | − | 0.441277i | \(-0.145474\pi\) |
−0.830843 | + | 0.556507i | \(0.812141\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −9.06713 | + | 3.30017i | −0.584065 | + | 0.212582i | −0.617117 | − | 0.786871i | \(-0.711700\pi\) |
0.0330518 | + | 0.999454i | \(0.489477\pi\) | |||||||
\(242\) | −0.389111 | − | 2.20676i | −0.0250130 | − | 0.141856i | ||||
\(243\) | 0.401893 | − | 2.27925i | 0.0257815 | − | 0.146214i | ||||
\(244\) | −9.58490 | − | 3.48862i | −0.613610 | − | 0.223336i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0.967043 | 0.0616564 | ||||||||
\(247\) | 20.7902 | + | 11.3337i | 1.32285 | + | 0.721146i | ||||
\(248\) | 1.69334 | 0.107527 | ||||||||
\(249\) | −0.211218 | + | 0.177233i | −0.0133854 | + | 0.0112317i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2.86001 | + | 16.2199i | −0.180522 | + | 1.02379i | 0.751053 | + | 0.660242i | \(0.229546\pi\) |
−0.931575 | + | 0.363549i | \(0.881565\pi\) | |||||||
\(252\) | −1.99424 | − | 11.3099i | −0.125625 | − | 0.712455i | ||||
\(253\) | 12.4410 | − | 4.52817i | 0.782161 | − | 0.284683i | ||||
\(254\) | −1.43841 | + | 2.49140i | −0.0902539 | + | 0.156324i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | −17.1843 | − | 14.4194i | −1.07193 | − | 0.899456i | −0.0767037 | − | 0.997054i | \(-0.524440\pi\) |
−0.995226 | + | 0.0975982i | \(0.968884\pi\) | |||||||
\(258\) | 0.486855 | + | 0.843258i | 0.0303103 | + | 0.0524990i | ||||
\(259\) | −9.01656 | + | 15.6171i | −0.560262 | + | 0.970402i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.552566 | − | 3.13376i | −0.0342030 | − | 0.193975i | ||||
\(262\) | −1.69087 | + | 9.58939i | −0.104462 | + | 0.592435i | ||||
\(263\) | −13.6565 | − | 4.97057i | −0.842098 | − | 0.306498i | −0.115283 | − | 0.993333i | \(-0.536778\pi\) |
−0.726814 | + | 0.686834i | \(0.759000\pi\) | |||||||
\(264\) | −0.239727 | + | 0.201155i | −0.0147542 | + | 0.0123802i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 10.4353 | − | 13.0735i | 0.639829 | − | 0.801590i | ||||
\(267\) | 0.275817 | 0.0168797 | ||||||||
\(268\) | 4.86807 | − | 4.08479i | 0.297365 | − | 0.249518i | ||||
\(269\) | −27.8282 | − | 10.1286i | −1.69672 | − | 0.617554i | −0.701272 | − | 0.712894i | \(-0.747384\pi\) |
−0.995445 | + | 0.0953391i | \(0.969606\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.06802 | + | 11.7283i | 0.125623 | + | 0.712443i | 0.980936 | + | 0.194332i | \(0.0622538\pi\) |
−0.855313 | + | 0.518112i | \(0.826635\pi\) | |||||||
\(272\) | −4.08828 | + | 1.48801i | −0.247888 | + | 0.0902239i | ||||
\(273\) | 0.896428 | − | 1.55266i | 0.0542543 | − | 0.0939712i | ||||
\(274\) | 7.30071 | + | 12.6452i | 0.441052 | + | 0.763925i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −0.239703 | − | 0.201135i | −0.0144284 | − | 0.0121069i | ||||
\(277\) | −5.66635 | − | 9.81441i | −0.340458 | − | 0.589691i | 0.644060 | − | 0.764975i | \(-0.277249\pi\) |
−0.984518 | + | 0.175284i | \(0.943916\pi\) | |||||||
\(278\) | 4.54602 | − | 7.87394i | 0.272652 | − | 0.472247i | ||||
\(279\) | −4.76188 | + | 1.73318i | −0.285086 | + | 0.103763i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1.11030 | + | 6.29682i | −0.0662348 | + | 0.375636i | 0.933615 | + | 0.358279i | \(0.116636\pi\) |
−0.999849 | + | 0.0173573i | \(0.994475\pi\) | |||||||
\(282\) | −0.448327 | − | 0.163178i | −0.0266975 | − | 0.00971708i | ||||
\(283\) | −4.69512 | + | 3.93967i | −0.279096 | + | 0.234189i | −0.771580 | − | 0.636132i | \(-0.780533\pi\) |
0.492484 | + | 0.870321i | \(0.336089\pi\) | |||||||
\(284\) | −2.13047 | −0.126420 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 19.7669 | 1.16884 | ||||||||
\(287\) | −33.0561 | + | 27.7373i | −1.95124 | + | 1.63728i | ||||
\(288\) | −2.81213 | − | 1.02353i | −0.165706 | − | 0.0603121i | ||||
\(289\) | 0.334825 | − | 1.89888i | 0.0196956 | − | 0.111699i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 1.45224 | − | 0.528571i | 0.0851316 | − | 0.0309854i | ||||
\(292\) | 3.46669 | − | 6.00449i | 0.202873 | − | 0.351386i | ||||
\(293\) | −4.85059 | − | 8.40147i | −0.283375 | − | 0.490819i | 0.688839 | − | 0.724914i | \(-0.258121\pi\) |
−0.972214 | + | 0.234095i | \(0.924787\pi\) | |||||||
\(294\) | −0.509062 | − | 0.427154i | −0.0296891 | − | 0.0249121i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 2.34954 | + | 4.06953i | 0.136564 | + | 0.236537i | ||||
\(297\) | 0.937667 | − | 1.62409i | 0.0544090 | − | 0.0942391i | ||||
\(298\) | −5.02344 | + | 1.82838i | −0.291000 | + | 0.105915i | ||||
\(299\) | 3.43215 | + | 19.4647i | 0.198486 | + | 1.12567i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −40.8289 | − | 14.8605i | −2.35334 | − | 0.856544i | ||||
\(302\) | −9.13026 | + | 7.66120i | −0.525387 | + | 0.440852i | ||||
\(303\) | −0.906842 | −0.0520967 | ||||||||
\(304\) | −1.59068 | − | 4.05829i | −0.0912320 | − | 0.232759i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 9.97373 | − | 8.36895i | 0.570160 | − | 0.478421i | ||||
\(307\) | −2.66894 | − | 0.971416i | −0.152325 | − | 0.0554417i | 0.264733 | − | 0.964322i | \(-0.414716\pi\) |
−0.417057 | + | 0.908880i | \(0.636939\pi\) | |||||||
\(308\) | 2.42485 | − | 13.7520i | 0.138169 | − | 0.783593i | ||||
\(309\) | 0.198813 | + | 1.12752i | 0.0113101 | + | 0.0641426i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 5.94935 | − | 10.3046i | 0.337357 | − | 0.584319i | −0.646578 | − | 0.762848i | \(-0.723800\pi\) |
0.983935 | + | 0.178529i | \(0.0571338\pi\) | |||||||
\(312\) | −0.233592 | − | 0.404594i | −0.0132246 | − | 0.0229056i | ||||
\(313\) | 21.0617 | + | 17.6728i | 1.19048 | + | 0.998928i | 0.999851 | + | 0.0172647i | \(0.00549579\pi\) |
0.190625 | + | 0.981663i | \(0.438949\pi\) | |||||||
\(314\) | −12.3896 | − | 10.3961i | −0.699183 | − | 0.586684i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 3.89369 | − | 6.74407i | 0.219037 | − | 0.379384i | ||||
\(317\) | −16.5860 | + | 6.03680i | −0.931561 | + | 0.339060i | −0.762828 | − | 0.646601i | \(-0.776190\pi\) |
−0.168733 | + | 0.985662i | \(0.553967\pi\) | |||||||
\(318\) | 0.0399723 | + | 0.226694i | 0.00224153 | + | 0.0127124i | ||||
\(319\) | 0.671880 | − | 3.81042i | 0.0376181 | − | 0.213343i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0.492257 | − | 0.413052i | 0.0274751 | − | 0.0230543i | ||||
\(322\) | 13.9627 | 0.778113 | ||||||||
\(323\) | 18.7510 | + | 2.83477i | 1.04333 | + | 0.157731i | ||||
\(324\) | 8.93349 | 0.496305 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −11.2248 | − | 4.08548i | −0.621683 | − | 0.226274i | ||||
\(327\) | −0.0788133 | + | 0.446973i | −0.00435839 | + | 0.0247176i | ||||
\(328\) | 1.95259 | + | 11.0737i | 0.107814 | + | 0.611441i | ||||
\(329\) | 20.0053 | − | 7.28134i | 1.10293 | − | 0.401434i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 14.5665 | + | 25.2299i | 0.800647 | + | 1.38676i | 0.919191 | + | 0.393813i | \(0.128844\pi\) |
−0.118544 | + | 0.992949i | \(0.537823\pi\) | |||||||
\(332\) | −2.45599 | − | 2.06082i | −0.134790 | − | 0.113102i | ||||
\(333\) | −10.7725 | − | 9.03921i | −0.590330 | − | 0.495346i | ||||
\(334\) | 11.6136 | + | 20.1153i | 0.635467 | + | 1.10066i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −0.310134 | + | 0.112879i | −0.0169192 | + | 0.00615808i | ||||
\(337\) | 4.58649 | + | 26.0113i | 0.249842 | + | 1.41693i | 0.808973 | + | 0.587846i | \(0.200024\pi\) |
−0.559130 | + | 0.829080i | \(0.688865\pi\) | |||||||
\(338\) | −2.86688 | + | 16.2589i | −0.155938 | + | 0.884367i | ||||
\(339\) | −0.432648 | − | 0.157471i | −0.0234982 | − | 0.00855265i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −6.16170 | −0.333675 | ||||||||
\(342\) | 8.62699 | + | 9.78432i | 0.466494 | + | 0.529075i | ||||
\(343\) | 2.78993 | 0.150642 | ||||||||
\(344\) | −8.67318 | + | 7.27766i | −0.467626 | + | 0.392385i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −0.964426 | + | 5.46953i | −0.0518479 | + | 0.294044i | ||||
\(347\) | 0.742771 | + | 4.21246i | 0.0398740 | + | 0.226137i | 0.998232 | − | 0.0594314i | \(-0.0189288\pi\) |
−0.958358 | + | 0.285568i | \(0.907818\pi\) | |||||||
\(348\) | −0.0859323 | + | 0.0312768i | −0.00460645 | + | 0.00167661i | ||||
\(349\) | 4.48031 | − | 7.76012i | 0.239825 | − | 0.415390i | −0.720839 | − | 0.693103i | \(-0.756243\pi\) |
0.960664 | + | 0.277713i | \(0.0895765\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.14466 | + | 1.79958i | 0.114473 | + | 0.0960545i | ||||
\(352\) | −2.78748 | − | 2.33897i | −0.148573 | − | 0.124668i | ||||
\(353\) | −9.48952 | − | 16.4363i | −0.505076 | − | 0.874818i | −0.999983 | − | 0.00587136i | \(-0.998131\pi\) |
0.494907 | − | 0.868946i | \(-0.335202\pi\) | |||||||
\(354\) | 0.454313 | − | 0.786894i | 0.0241465 | − | 0.0418229i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0.556910 | + | 3.15839i | 0.0295162 | + | 0.167395i | ||||
\(357\) | 0.249338 | − | 1.41406i | 0.0131963 | − | 0.0748402i | ||||
\(358\) | −0.413255 | − | 0.150413i | −0.0218412 | − | 0.00794955i | ||||
\(359\) | −3.57413 | + | 2.99905i | −0.188635 | + | 0.158284i | −0.732215 | − | 0.681074i | \(-0.761513\pi\) |
0.543579 | + | 0.839358i | \(0.317069\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −2.37926 | + | 18.8504i | −0.125224 | + | 0.992128i | ||||
\(362\) | 2.24814 | 0.118160 | ||||||||
\(363\) | 0.147626 | − | 0.123873i | 0.00774836 | − | 0.00650165i | ||||
\(364\) | 19.5896 | + | 7.13003i | 1.02677 | + | 0.373715i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −0.152327 | − | 0.863892i | −0.00796228 | − | 0.0451563i | ||||
\(367\) | 12.2595 | − | 4.46209i | 0.639940 | − | 0.232919i | −0.00161191 | − | 0.999999i | \(-0.500513\pi\) |
0.641552 | + | 0.767080i | \(0.278291\pi\) | |||||||
\(368\) | 1.81921 | − | 3.15097i | 0.0948330 | − | 0.164256i | ||||
\(369\) | −16.8252 | − | 29.1420i | −0.875883 | − | 1.51707i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −7.86854 | − | 6.60249i | −0.408514 | − | 0.342784i | ||||
\(372\) | 0.0728148 | + | 0.126119i | 0.00377527 | + | 0.00653896i | ||||
\(373\) | −6.51467 | + | 11.2837i | −0.337317 | + | 0.584250i | −0.983927 | − | 0.178570i | \(-0.942853\pi\) |
0.646610 | + | 0.762821i | \(0.276186\pi\) | |||||||
\(374\) | 14.8764 | − | 5.41456i | 0.769239 | − | 0.279980i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.963325 | − | 5.46329i | 0.0496797 | − | 0.281748i | ||||
\(377\) | 5.42791 | + | 1.97560i | 0.279552 | + | 0.101749i | ||||
\(378\) | 1.51507 | − | 1.27129i | 0.0779268 | − | 0.0653883i | ||||
\(379\) | −21.4427 | −1.10144 | −0.550718 | − | 0.834692i | \(-0.685646\pi\) | ||||
−0.550718 | + | 0.834692i | \(0.685646\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.247411 | −0.0126752 | ||||||||
\(382\) | 2.59889 | − | 2.18073i | 0.132971 | − | 0.111576i | ||||
\(383\) | 11.4828 | + | 4.17939i | 0.586743 | + | 0.213557i | 0.618296 | − | 0.785945i | \(-0.287823\pi\) |
−0.0315534 | + | 0.999502i | \(0.510045\pi\) | |||||||
\(384\) | −0.0149340 | + | 0.0846949i | −0.000762097 | + | 0.00432207i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 15.7460 | − | 5.73106i | 0.801449 | − | 0.291703i | ||||
\(387\) | 16.9412 | − | 29.3430i | 0.861168 | − | 1.49159i | ||||
\(388\) | 8.98495 | + | 15.5624i | 0.456142 | + | 0.790060i | ||||
\(389\) | 8.31670 | + | 6.97854i | 0.421673 | + | 0.353826i | 0.828799 | − | 0.559546i | \(-0.189025\pi\) |
−0.407126 | + | 0.913372i | \(0.633469\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 7.91476 | + | 13.7088i | 0.400267 | + | 0.693282i | ||||
\(392\) | 3.86350 | − | 6.69178i | 0.195136 | − | 0.337986i | ||||
\(393\) | −0.786921 | + | 0.286416i | −0.0396949 | + | 0.0144478i | ||||
\(394\) | 0.293392 | + | 1.66391i | 0.0147809 | + | 0.0838265i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 10.2327 | + | 3.72441i | 0.514215 | + | 0.187159i | ||||
\(397\) | 23.2954 | − | 19.5472i | 1.16916 | − | 0.981046i | 0.169175 | − | 0.985586i | \(-0.445890\pi\) |
0.999990 | + | 0.00454025i | \(0.00144521\pi\) | |||||||
\(398\) | 12.6663 | 0.634904 | ||||||||
\(399\) | 1.42244 | + | 0.215043i | 0.0712109 | + | 0.0107656i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 7.75243 | − | 6.50506i | 0.387138 | − | 0.324847i | −0.428359 | − | 0.903609i | \(-0.640908\pi\) |
0.815497 | + | 0.578761i | \(0.196464\pi\) | |||||||
\(402\) | 0.513564 | + | 0.186922i | 0.0256142 | + | 0.00932282i | ||||
\(403\) | 1.59734 | − | 9.05894i | 0.0795690 | − | 0.451258i | ||||
\(404\) | −1.83103 | − | 10.3843i | −0.0910972 | − | 0.516638i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 2.04029 | − | 3.53389i | 0.101258 | − | 0.175384i | ||||
\(407\) | −8.54950 | − | 14.8082i | −0.423783 | − | 0.734014i | ||||
\(408\) | −0.286625 | − | 0.240507i | −0.0141901 | − | 0.0119069i | ||||
\(409\) | 14.1505 | + | 11.8737i | 0.699699 | + | 0.587117i | 0.921688 | − | 0.387932i | \(-0.126811\pi\) |
−0.221989 | + | 0.975049i | \(0.571255\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −0.627872 | + | 1.08751i | −0.0309707 | + | 0.0536427i | ||||
\(412\) | −12.5099 | + | 4.55323i | −0.616319 | + | 0.224322i | ||||
\(413\) | 7.04055 | + | 39.9290i | 0.346443 | + | 1.96478i | ||||
\(414\) | −1.89074 | + | 10.7229i | −0.0929250 | + | 0.527004i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 4.16137 | − | 3.49180i | 0.204028 | − | 0.171200i | ||||
\(417\) | 0.781929 | 0.0382912 | ||||||||
\(418\) | 5.78817 | + | 14.7673i | 0.283108 | + | 0.722291i | ||||
\(419\) | 12.5375 | 0.612497 | 0.306248 | − | 0.951952i | \(-0.400926\pi\) | ||||
0.306248 | + | 0.951952i | \(0.400926\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −33.8406 | − | 12.3170i | −1.64929 | − | 0.600292i | −0.660663 | − | 0.750682i | \(-0.729725\pi\) |
−0.988627 | + | 0.150390i | \(0.951947\pi\) | |||||||
\(422\) | 1.45268 | − | 8.23855i | 0.0707153 | − | 0.401046i | ||||
\(423\) | 2.88285 | + | 16.3495i | 0.140169 | + | 0.794938i | ||||
\(424\) | −2.51518 | + | 0.915450i | −0.122148 | + | 0.0444582i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −0.0916117 | − | 0.158676i | −0.00443860 | − | 0.00768788i | ||||
\(427\) | 29.9856 | + | 25.1609i | 1.45111 | + | 1.21762i | ||||
\(428\) | 5.72382 | + | 4.80285i | 0.276671 | + | 0.232155i | ||||
\(429\) | 0.849993 | + | 1.47223i | 0.0410381 | + | 0.0710800i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −20.3899 | + | 7.42133i | −0.982148 | + | 0.357473i | −0.782675 | − | 0.622431i | \(-0.786145\pi\) |
−0.199473 | + | 0.979903i | \(0.563923\pi\) | |||||||
\(432\) | −0.0894935 | − | 0.507543i | −0.00430576 | − | 0.0244192i | ||||
\(433\) | −0.0791112 | + | 0.448662i | −0.00380184 | + | 0.0215613i | −0.986650 | − | 0.162857i | \(-0.947929\pi\) |
0.982848 | + | 0.184418i | \(0.0590402\pi\) | |||||||
\(434\) | −6.10642 | − | 2.22256i | −0.293118 | − | 0.106686i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −5.27744 | −0.252744 | ||||||||
\(437\) | −13.5365 | + | 8.26371i | −0.647537 | + | 0.395307i | ||||
\(438\) | 0.596281 | 0.0284914 | ||||||||
\(439\) | −0.454717 | + | 0.381552i | −0.0217024 | + | 0.0182105i | −0.653574 | − | 0.756862i | \(-0.726731\pi\) |
0.631872 | + | 0.775073i | \(0.282287\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −4.01542 | + | 22.7726i | −0.191210 | + | 1.08441i | ||||
\(442\) | 4.10400 | + | 23.2749i | 0.195207 | + | 1.10708i | ||||
\(443\) | −35.4197 | + | 12.8917i | −1.68284 | + | 0.612503i | −0.993695 | − | 0.112120i | \(-0.964236\pi\) |
−0.689145 | + | 0.724624i | \(0.742014\pi\) | |||||||
\(444\) | −0.202064 | + | 0.349986i | −0.00958955 | + | 0.0166096i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0.0983682 | + | 0.0825408i | 0.00465787 | + | 0.00390842i | ||||
\(447\) | −0.352189 | − | 0.295521i | −0.0166579 | − | 0.0139777i | ||||
\(448\) | −1.91879 | − | 3.32344i | −0.0906543 | − | 0.157018i | ||||
\(449\) | 10.2230 | − | 17.7068i | 0.482455 | − | 0.835636i | −0.517342 | − | 0.855779i | \(-0.673079\pi\) |
0.999797 | + | 0.0201424i | \(0.00641195\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −7.10505 | − | 40.2948i | −0.334564 | − | 1.89741i | ||||
\(452\) | 0.929637 | − | 5.27223i | 0.0437264 | − | 0.247985i | ||||
\(453\) | −0.963210 | − | 0.350580i | −0.0452555 | − | 0.0164717i | ||||
\(454\) | −7.03243 | + | 5.90091i | −0.330048 | + | 0.276943i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0.233859 | − | 0.292983i | 0.0109514 | − | 0.0137202i | ||||
\(457\) | 12.9647 | 0.606465 | 0.303233 | − | 0.952917i | \(-0.401934\pi\) | ||||
0.303233 | + | 0.952917i | \(0.401934\pi\) | |||||||
\(458\) | −4.50164 | + | 3.77733i | −0.210348 | + | 0.176503i | ||||
\(459\) | 2.10699 | + | 0.766880i | 0.0983457 | + | 0.0357949i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 0.488216 | + | 2.76881i | 0.0227385 | + | 0.128956i | 0.994064 | − | 0.108797i | \(-0.0347000\pi\) |
−0.971325 | + | 0.237754i | \(0.923589\pi\) | |||||||
\(462\) | 1.12851 | − | 0.410745i | 0.0525031 | − | 0.0191096i | ||||
\(463\) | 10.1939 | − | 17.6564i | 0.473752 | − | 0.820563i | −0.525796 | − | 0.850611i | \(-0.676233\pi\) |
0.999548 | + | 0.0300475i | \(0.00956585\pi\) | |||||||
\(464\) | −0.531661 | − | 0.920864i | −0.0246817 | − | 0.0427500i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 4.71537 | + | 3.95666i | 0.218435 | + | 0.183289i | ||||
\(467\) | −12.6620 | − | 21.9312i | −0.585927 | − | 1.01485i | −0.994759 | − | 0.102245i | \(-0.967397\pi\) |
0.408833 | − | 0.912609i | \(-0.365936\pi\) | |||||||
\(468\) | −8.12834 | + | 14.0787i | −0.375732 | + | 0.650788i | ||||
\(469\) | −22.9164 | + | 8.34087i | −1.05818 | + | 0.385146i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0.241534 | − | 1.36981i | 0.0111293 | − | 0.0631174i | ||||
\(472\) | 9.92808 | + | 3.61353i | 0.456977 | + | 0.166326i | ||||
\(473\) | 31.5599 | − | 26.4819i | 1.45112 | − | 1.21764i | ||||
\(474\) | 0.669726 | 0.0307616 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 16.6960 | 0.765258 | ||||||||
\(477\) | 6.13601 | − | 5.14872i | 0.280949 | − | 0.235744i | ||||
\(478\) | −1.93295 | − | 0.703536i | −0.0884110 | − | 0.0321790i | ||||
\(479\) | −6.76001 | + | 38.3379i | −0.308873 | + | 1.75170i | 0.295818 | + | 0.955244i | \(0.404408\pi\) |
−0.604691 | + | 0.796460i | \(0.706703\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 23.9873 | − | 8.73067i | 1.09373 | − | 0.398084i | ||||
\(482\) | 4.82452 | − | 8.35632i | 0.219751 | − | 0.380620i | ||||
\(483\) | 0.600408 | + | 1.03994i | 0.0273195 | + | 0.0473188i | ||||
\(484\) | 1.71655 | + | 1.44036i | 0.0780252 | + | 0.0654709i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 1.15721 | + | 2.00434i | 0.0524919 | + | 0.0909187i | ||||
\(487\) | −12.6902 | + | 21.9801i | −0.575050 | + | 0.996015i | 0.420987 | + | 0.907067i | \(0.361684\pi\) |
−0.996036 | + | 0.0889482i | \(0.971649\pi\) | |||||||
\(488\) | 9.58490 | − | 3.48862i | 0.433888 | − | 0.157922i | ||||
\(489\) | −0.178389 | − | 1.01169i | −0.00806703 | − | 0.0457504i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 20.7422 | + | 7.54953i | 0.936080 | + | 0.340705i | 0.764617 | − | 0.644485i | \(-0.222928\pi\) |
0.171464 | + | 0.985190i | \(0.445150\pi\) | |||||||
\(492\) | −0.740798 | + | 0.621603i | −0.0333978 | + | 0.0280241i | ||||
\(493\) | 4.62614 | 0.208351 | ||||||||
\(494\) | −23.2114 | + | 4.68156i | −1.04433 | + | 0.210633i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.29717 | + | 1.08846i | −0.0582448 | + | 0.0488731i | ||||
\(497\) | 7.68278 | + | 2.79630i | 0.344620 | + | 0.125431i | ||||
\(498\) | 0.0478793 | − | 0.271537i | 0.00214552 | − | 0.0121679i | ||||
\(499\) | −1.77767 | − | 10.0817i | −0.0795794 | − | 0.451317i | −0.998395 | − | 0.0566307i | \(-0.981964\pi\) |
0.918816 | − | 0.394687i | \(-0.129147\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −0.998785 | + | 1.72995i | −0.0446224 | + | 0.0772883i | ||||
\(502\) | −8.23506 | − | 14.2635i | −0.367549 | − | 0.636613i | ||||
\(503\) | 16.1430 | + | 13.5456i | 0.719779 | + | 0.603967i | 0.927324 | − | 0.374259i | \(-0.122103\pi\) |
−0.207545 | + | 0.978225i | \(0.566547\pi\) | |||||||
\(504\) | 8.79752 | + | 7.38200i | 0.391873 | + | 0.328820i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −6.61974 | + | 11.4657i | −0.294283 | + | 0.509713i | ||||
\(507\) | −1.33423 | + | 0.485620i | −0.0592553 | + | 0.0215672i | ||||
\(508\) | −0.499555 | − | 2.83312i | −0.0221642 | − | 0.125699i | ||||
\(509\) | 0.753952 | − | 4.27588i | 0.0334184 | − | 0.189525i | −0.963529 | − | 0.267605i | \(-0.913768\pi\) |
0.996947 | + | 0.0780800i | \(0.0248789\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −20.3825 | + | 17.1029i | −0.901667 | + | 0.756588i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −0.716412 | + | 2.12916i | −0.0316303 | + | 0.0940048i | ||||
\(514\) | 22.4326 | 0.989458 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −0.914989 | − | 0.333029i | −0.0402801 | − | 0.0146608i | ||||
\(517\) | −3.50534 | + | 19.8798i | −0.154165 | + | 0.874311i | ||||
\(518\) | −3.13142 | − | 17.7592i | −0.137587 | − | 0.780292i | ||||
\(519\) | −0.448839 | + | 0.163364i | −0.0197018 | + | 0.00717088i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 13.6133 | + | 23.5788i | 0.596407 | + | 1.03301i | 0.993347 | + | 0.115163i | \(0.0367391\pi\) |
−0.396939 | + | 0.917845i | \(0.629928\pi\) | |||||||
\(522\) | 2.43763 | + | 2.04541i | 0.106692 | + | 0.0895254i | ||||
\(523\) | 22.4219 | + | 18.8142i | 0.980439 | + | 0.822686i | 0.984156 | − | 0.177307i | \(-0.0567385\pi\) |
−0.00371632 | + | 0.999993i | \(0.501183\pi\) | |||||||
\(524\) | −4.86866 | − | 8.43277i | −0.212689 | − | 0.368387i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 13.6565 | − | 4.97057i | 0.595453 | − | 0.216727i | ||||
\(527\) | −1.27929 | − | 7.25520i | −0.0557267 | − | 0.316042i | ||||
\(528\) | 0.0543417 | − | 0.308187i | 0.00236492 | − | 0.0134121i | ||||
\(529\) | 9.17315 | + | 3.33875i | 0.398832 | + | 0.145163i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −31.6176 | −1.37209 | ||||||||
\(532\) | 0.409610 | + | 16.7226i | 0.0177589 | + | 0.725017i | ||||
\(533\) | 61.0833 | 2.64581 | ||||||||
\(534\) | −0.211288 | + | 0.177292i | −0.00914332 | + | 0.00767216i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −1.10350 | + | 6.25827i | −0.0476640 | + | 0.270316i | ||||
\(537\) | −0.00656763 | − | 0.0372469i | −0.000283414 | − | 0.00160732i | ||||
\(538\) | 27.8282 | − | 10.1286i | 1.19976 | − | 0.436677i | ||||
\(539\) | −14.0585 | + | 24.3500i | −0.605541 | + | 1.04883i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −16.7891 | − | 14.0878i | −0.721822 | − | 0.605680i | 0.206067 | − | 0.978538i | \(-0.433934\pi\) |
−0.927889 | + | 0.372858i | \(0.878378\pi\) | |||||||
\(542\) | −9.12300 | − | 7.65510i | −0.391866 | − | 0.328815i | ||||
\(543\) | 0.0966718 | + | 0.167441i | 0.00414859 | + | 0.00718556i | ||||
\(544\) | 2.17533 | − | 3.76778i | 0.0932663 | − | 0.161542i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0.311326 | + | 1.76562i | 0.0133235 | + | 0.0755615i | ||||
\(547\) | −3.51251 | + | 19.9205i | −0.150184 | + | 0.851737i | 0.812873 | + | 0.582441i | \(0.197902\pi\) |
−0.963057 | + | 0.269296i | \(0.913209\pi\) | |||||||
\(548\) | −13.7209 | − | 4.99398i | −0.586126 | − | 0.213332i | ||||
\(549\) | −23.3833 | + | 19.6209i | −0.997973 | + | 0.837399i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.113495 | + | 4.63352i | 0.00483507 | + | 0.197395i | ||||
\(552\) | 0.312910 | 0.0133183 | ||||||||
\(553\) | −22.8930 | + | 19.2095i | −0.973509 | + | 0.816871i | ||||
\(554\) | 10.6493 | + | 3.87601i | 0.452444 | + | 0.164676i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.57882 | + | 8.95391i | 0.0669567 | + | 0.379730i | ||||
\(557\) | 22.0400 | − | 8.02192i | 0.933866 | − | 0.339900i | 0.170125 | − | 0.985422i | \(-0.445583\pi\) |
0.763741 | + | 0.645523i | \(0.223361\pi\) | |||||||
\(558\) | 2.53374 | − | 4.38857i | 0.107262 | − | 0.185783i | ||||
\(559\) | 30.7522 | + | 53.2644i | 1.30068 | + | 2.25284i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.04297 | + | 0.875155i | 0.0440342 | + | 0.0369491i | ||||
\(562\) | −3.19698 | − | 5.53733i | −0.134856 | − | 0.233578i | ||||
\(563\) | 10.0610 | − | 17.4261i | 0.424019 | − | 0.734422i | −0.572309 | − | 0.820038i | \(-0.693952\pi\) |
0.996328 | + | 0.0856154i | \(0.0272856\pi\) | |||||||
\(564\) | 0.448327 | − | 0.163178i | 0.0188780 | − | 0.00687101i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 1.06430 | − | 6.03592i | 0.0447357 | − | 0.253709i | ||||
\(567\) | −32.2154 | − | 11.7255i | −1.35292 | − | 0.492423i | ||||
\(568\) | 1.63203 | − | 1.36944i | 0.0684786 | − | 0.0574604i | ||||
\(569\) | 22.2047 | 0.930871 | 0.465436 | − | 0.885082i | \(-0.345898\pi\) | ||||
0.465436 | + | 0.885082i | \(0.345898\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 23.9839 | 1.00370 | 0.501848 | − | 0.864956i | \(-0.332654\pi\) | ||||
0.501848 | + | 0.864956i | \(0.332654\pi\) | |||||||
\(572\) | −15.1424 | + | 12.7059i | −0.633134 | + | 0.531262i | ||||
\(573\) | 0.274174 | + | 0.0997912i | 0.0114538 | + | 0.00416884i | ||||
\(574\) | 7.49320 | − | 42.4961i | 0.312760 | − | 1.77375i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 2.81213 | − | 1.02353i | 0.117172 | − | 0.0426471i | ||||
\(577\) | 3.40913 | − | 5.90479i | 0.141924 | − | 0.245820i | −0.786297 | − | 0.617849i | \(-0.788004\pi\) |
0.928221 | + | 0.372029i | \(0.121338\pi\) | |||||||
\(578\) | 0.964089 | + | 1.66985i | 0.0401008 | + | 0.0694566i | ||||
\(579\) | 1.10393 | + | 0.926311i | 0.0458780 | + | 0.0384962i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 6.15176 | + | 10.6552i | 0.255218 | + | 0.442050i | ||||
\(582\) | −0.772719 | + | 1.33839i | −0.0320302 | + | 0.0554780i | ||||
\(583\) | 9.15221 | − | 3.33113i | 0.379046 | − | 0.137961i | ||||
\(584\) | 1.20397 | + | 6.82805i | 0.0498206 | + | 0.282547i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 9.11613 | + | 3.31800i | 0.376584 | + | 0.137065i | ||||
\(587\) | −22.2281 | + | 18.6516i | −0.917453 | + | 0.769835i | −0.973522 | − | 0.228592i | \(-0.926588\pi\) |
0.0560690 | + | 0.998427i | \(0.482143\pi\) | |||||||
\(588\) | 0.664534 | 0.0274049 | ||||||||
\(589\) | 7.23539 | − | 1.45932i | 0.298129 | − | 0.0601304i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −0.111311 | + | 0.0934010i | −0.00457872 | + | 0.00384200i | ||||
\(592\) | −4.41570 | − | 1.60718i | −0.181484 | − | 0.0660548i | ||||
\(593\) | −3.47902 | + | 19.7305i | −0.142866 | + | 0.810236i | 0.826189 | + | 0.563393i | \(0.190504\pi\) |
−0.969056 | + | 0.246843i | \(0.920607\pi\) | |||||||
\(594\) | 0.325648 | + | 1.84684i | 0.0133615 | + | 0.0757769i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 2.67292 | − | 4.62963i | 0.109487 | − | 0.189637i | ||||
\(597\) | 0.544660 | + | 0.943379i | 0.0222914 | + | 0.0386099i | ||||
\(598\) | −15.1408 | − | 12.7047i | −0.619155 | − | 0.519533i | ||||
\(599\) | −25.3636 | − | 21.2826i | −1.03633 | − | 0.869583i | −0.0447378 | − | 0.998999i | \(-0.514245\pi\) |
−0.991590 | + | 0.129416i | \(0.958690\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 19.6224 | − | 33.9870i | 0.800415 | − | 1.38636i | −0.118927 | − | 0.992903i | \(-0.537946\pi\) |
0.919343 | − | 0.393457i | \(-0.128721\pi\) | |||||||
\(602\) | 40.8289 | − | 14.8605i | 1.66406 | − | 0.605668i | ||||
\(603\) | −3.30234 | − | 18.7285i | −0.134482 | − | 0.762684i | ||||
\(604\) | 2.06966 | − | 11.7376i | 0.0842133 | − | 0.477598i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0.694681 | − | 0.582907i | 0.0282195 | − | 0.0236790i | ||||
\(607\) | 9.56175 | 0.388099 | 0.194050 | − | 0.980992i | \(-0.437838\pi\) | ||||
0.194050 | + | 0.980992i | \(0.437838\pi\) | |||||||
\(608\) | 3.82715 | + | 2.08636i | 0.155212 | + | 0.0846130i | ||||
\(609\) | 0.350936 | 0.0142206 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −28.3185 | − | 10.3071i | −1.14565 | − | 0.416981i | ||||
\(612\) | −2.26086 | + | 12.8220i | −0.0913899 | + | 0.518298i | ||||
\(613\) | −0.401235 | − | 2.27551i | −0.0162057 | − | 0.0919072i | 0.975632 | − | 0.219413i | \(-0.0704141\pi\) |
−0.991838 | + | 0.127505i | \(0.959303\pi\) | |||||||
\(614\) | 2.66894 | − | 0.971416i | 0.107710 | − | 0.0392032i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 6.98207 | + | 12.0933i | 0.281316 | + | 0.487253i | ||||
\(617\) | 28.4155 | + | 23.8435i | 1.14397 | + | 0.959902i | 0.999561 | − | 0.0296168i | \(-0.00942869\pi\) |
0.144405 | + | 0.989519i | \(0.453873\pi\) | |||||||
\(618\) | −0.877058 | − | 0.735939i | −0.0352804 | − | 0.0296038i | ||||
\(619\) | −15.6980 | − | 27.1897i | −0.630956 | − | 1.09285i | −0.987357 | − | 0.158515i | \(-0.949330\pi\) |
0.356401 | − | 0.934333i | \(-0.384004\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −1.76206 | + | 0.641338i | −0.0707090 | + | 0.0257360i | ||||
\(622\) | 2.06619 | + | 11.7179i | 0.0828466 | + | 0.469846i | ||||
\(623\) | 2.13719 | − | 12.1206i | 0.0856245 | − | 0.485601i | ||||
\(624\) | 0.439010 | + | 0.159786i | 0.0175745 | + | 0.00639658i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −27.4941 | −1.09888 | ||||||||
\(627\) | −0.850963 | + | 1.06610i | −0.0339842 | + | 0.0425761i | ||||
\(628\) | 16.1734 | 0.645390 | ||||||||
\(629\) | 15.6611 | − | 13.1412i | 0.624449 | − | 0.523975i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 4.22758 | − | 23.9758i | 0.168297 | − | 0.954462i | −0.777302 | − | 0.629128i | \(-0.783412\pi\) |
0.945599 | − | 0.325334i | \(-0.105477\pi\) | |||||||
\(632\) | 1.35226 | + | 7.66908i | 0.0537902 | + | 0.305059i | ||||
\(633\) | 0.676069 | − | 0.246069i | 0.0268713 | − | 0.00978036i | ||||
\(634\) | 8.82521 | − | 15.2857i | 0.350494 | − | 0.607073i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −0.176337 | − | 0.147964i | −0.00699221 | − | 0.00586716i | ||||
\(637\) | −32.1549 | − | 26.9812i | −1.27402 | − | 1.06903i | ||||
\(638\) | 1.93460 | + | 3.35083i | 0.0765917 | + | 0.132661i | ||||
\(639\) | −3.18782 | + | 5.52147i | −0.126108 | + | 0.218426i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −1.64443 | − | 9.32600i | −0.0649509 | − | 0.368355i | −0.999908 | − | 0.0135931i | \(-0.995673\pi\) |
0.934957 | − | 0.354762i | \(-0.115438\pi\) | |||||||
\(642\) | −0.111586 | + | 0.632833i | −0.00440393 | + | 0.0249759i | ||||
\(643\) | −3.51571 | − | 1.27961i | −0.138646 | − | 0.0504631i | 0.271765 | − | 0.962364i | \(-0.412393\pi\) |
−0.410411 | + | 0.911901i | \(0.634615\pi\) | |||||||
\(644\) | −10.6961 | + | 8.97508i | −0.421485 | + | 0.353668i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −16.1862 | + | 9.88134i | −0.636839 | + | 0.388776i | ||||
\(647\) | 32.1985 | 1.26585 | 0.632926 | − | 0.774212i | \(-0.281854\pi\) | ||||
0.632926 | + | 0.774212i | \(0.281854\pi\) | |||||||
\(648\) | −6.84345 | + | 5.74234i | −0.268836 | + | 0.225580i | ||||
\(649\) | −36.1262 | − | 13.1489i | −1.41808 | − | 0.516138i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.0970458 | − | 0.550374i | −0.00380353 | − | 0.0215709i | ||||
\(652\) | 11.2248 | − | 4.08548i | 0.439596 | − | 0.160000i | ||||
\(653\) | −7.68376 | + | 13.3087i | −0.300689 | + | 0.520808i | −0.976292 | − | 0.216457i | \(-0.930550\pi\) |
0.675603 | + | 0.737265i | \(0.263883\pi\) | |||||||
\(654\) | −0.226934 | − | 0.393061i | −0.00887382 | − | 0.0153699i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −8.61378 | − | 7.22782i | −0.336312 | − | 0.282199i | ||||
\(657\) | −10.3744 | − | 17.9691i | −0.404745 | − | 0.701040i | ||||
\(658\) | −10.6446 | + | 18.4370i | −0.414970 | + | 0.718750i | ||||
\(659\) | 19.3778 | − | 7.05295i | 0.754853 | − | 0.274744i | 0.0642067 | − | 0.997937i | \(-0.479548\pi\) |
0.690646 | + | 0.723193i | \(0.257326\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 3.02307 | − | 17.1447i | 0.117584 | − | 0.666850i | −0.867855 | − | 0.496818i | \(-0.834502\pi\) |
0.985439 | − | 0.170032i | \(-0.0543871\pi\) | |||||||
\(662\) | −27.3761 | − | 9.96407i | −1.06400 | − | 0.387265i | ||||
\(663\) | −1.55703 | + | 1.30650i | −0.0604700 | + | 0.0507403i | ||||
\(664\) | 3.20606 | 0.124419 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 14.0625 | 0.544911 | ||||||||
\(667\) | −2.96369 | + | 2.48683i | −0.114754 | + | 0.0962903i | ||||
\(668\) | −21.8264 | − | 7.94416i | −0.844489 | − | 0.307369i | ||||
\(669\) | −0.00191768 | + | 0.0108757i | −7.41420e−5 | + | 0.000420480i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −34.8775 | + | 12.6944i | −1.34643 | + | 0.490060i | ||||
\(672\) | 0.165019 | − | 0.285821i | 0.00636573 | − | 0.0110258i | ||||
\(673\) | 21.9641 | + | 38.0429i | 0.846654 | + | 1.46645i | 0.884177 | + | 0.467152i | \(0.154720\pi\) |
−0.0375234 | + | 0.999296i | \(0.511947\pi\) | |||||||
\(674\) | −20.2332 | − | 16.9777i | −0.779354 | − | 0.653956i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −8.25485 | − | 14.2978i | −0.317494 | − | 0.549916i | ||||
\(677\) | −5.62776 | + | 9.74756i | −0.216292 | + | 0.374629i | −0.953672 | − | 0.300850i | \(-0.902730\pi\) |
0.737379 | + | 0.675479i | \(0.236063\pi\) | |||||||
\(678\) | 0.432648 | − | 0.157471i | 0.0166158 | − | 0.00604764i | ||||
\(679\) | −11.9749 | − | 67.9132i | −0.459556 | − | 2.60627i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −0.741896 | − | 0.270028i | −0.0284295 | − | 0.0103475i | ||||
\(682\) | 4.72014 | − | 3.96067i | 0.180743 | − | 0.151662i | ||||
\(683\) | −26.1364 | −1.00008 | −0.500040 | − | 0.866002i | \(-0.666682\pi\) | ||||
−0.500040 | + | 0.866002i | \(0.666682\pi\) | |||||||
\(684\) | −12.8979 | − | 1.94990i | −0.493163 | − | 0.0745563i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −2.13721 | + | 1.79333i | −0.0815990 | + | 0.0684697i | ||||
\(687\) | −0.474907 | − | 0.172852i | −0.0181188 | − | 0.00659472i | ||||
\(688\) | 1.96605 | − | 11.1500i | 0.0749549 | − | 0.425090i | ||||
\(689\) | 2.52485 | + | 14.3191i | 0.0961891 | + | 0.545516i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 12.7785 | − | 22.1330i | 0.486116 | − | 0.841977i | −0.513757 | − | 0.857936i | \(-0.671747\pi\) |
0.999873 | + | 0.0159586i | \(0.00508000\pi\) | |||||||
\(692\) | −2.77695 | − | 4.80983i | −0.105564 | − | 0.182842i | ||||
\(693\) | −32.0123 | − | 26.8615i | −1.21605 | − | 1.02039i | ||||
\(694\) | −3.27671 | − | 2.74949i | −0.124382 | − | 0.104369i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0.0457236 | − | 0.0791956i | 0.00173315 | − | 0.00300190i | ||||
\(697\) | 45.9706 | − | 16.7319i | 1.74126 | − | 0.633767i | ||||
\(698\) | 1.55599 | + | 8.82448i | 0.0588953 | + | 0.334012i | ||||
\(699\) | −0.0919259 | + | 0.521337i | −0.00347696 | + | 0.0197188i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −20.9395 | + | 17.5703i | −0.790875 | + | 0.663623i | −0.945962 | − | 0.324278i | \(-0.894879\pi\) |
0.155087 | + | 0.987901i | \(0.450434\pi\) | |||||||
\(702\) | −2.79965 | −0.105666 | ||||||||
\(703\) | 13.5464 | + | 15.3637i | 0.510912 | + | 0.579452i | ||||
\(704\) | 3.63879 | 0.137142 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 17.8345 | + | 6.49121i | 0.671209 | + | 0.244300i | ||||
\(707\) | −7.02673 | + | 39.8505i | −0.264267 | + | 1.49873i | ||||
\(708\) | 0.157781 | + | 0.894822i | 0.00592979 | + | 0.0336295i | ||||
\(709\) | −33.1490 | + | 12.0653i | −1.24494 | + | 0.453120i | −0.878688 | − | 0.477397i | \(-0.841580\pi\) |
−0.366249 | + | 0.930517i | \(0.619358\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −11.6523 | − | 20.1823i | −0.436994 | − | 0.756897i | ||||
\(712\) | −2.45679 | − | 2.06150i | −0.0920723 | − | 0.0772578i | ||||
\(713\) | 4.71966 | + | 3.96027i | 0.176753 | + | 0.148313i | ||||
\(714\) | 0.717939 | + | 1.24351i | 0.0268682 | + | 0.0465371i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0.413255 | − | 0.150413i | 0.0154441 | − | 0.00562118i | ||||
\(717\) | −0.0307192 | − | 0.174217i | −0.00114723 | − | 0.00650627i | ||||
\(718\) | 0.810189 | − | 4.59481i | 0.0302360 | − | 0.171477i | ||||
\(719\) | 24.8968 | + | 9.06170i | 0.928494 | + | 0.337944i | 0.761613 | − | 0.648033i | \(-0.224408\pi\) |
0.166882 | + | 0.985977i | \(0.446630\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 51.0888 | 1.90265 | ||||||||
\(722\) | −10.2942 | − | 15.9696i | −0.383111 | − | 0.594328i | ||||
\(723\) | 0.829832 | 0.0308618 | ||||||||
\(724\) | −1.72218 | + | 1.44508i | −0.0640042 | + | 0.0537059i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −0.0334641 | + | 0.189785i | −0.00124197 | + | 0.00704356i | ||||
\(727\) | 6.25227 | + | 35.4584i | 0.231884 | + | 1.31508i | 0.849078 | + | 0.528268i | \(0.177158\pi\) |
−0.617194 | + | 0.786811i | \(0.711731\pi\) | |||||||
\(728\) | −19.5896 | + | 7.13003i | −0.726039 | + | 0.264256i | ||||
\(729\) | 13.3007 | − | 23.0375i | 0.492619 | − | 0.853241i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 37.7340 | + | 31.6626i | 1.39564 | + | 1.17108i | ||||
\(732\) | 0.671988 | + | 0.563865i | 0.0248374 | + | 0.0208411i | ||||
\(733\) | −23.0029 | − | 39.8422i | −0.849633 | − | 1.47161i | −0.881536 | − | 0.472116i | \(-0.843490\pi\) |
0.0319037 | − | 0.999491i | \(-0.489843\pi\) | |||||||
\(734\) | −6.52314 | + | 11.2984i | −0.240773 | + | 0.417032i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.631806 | + | 3.58315i | 0.0232887 | + | 0.132077i | ||||
\(737\) | 4.01541 | − | 22.7725i | 0.147910 | − | 0.838837i | ||||
\(738\) | 31.6210 | + | 11.5091i | 1.16398 | + | 0.423655i | ||||
\(739\) | 22.1707 | − | 18.6035i | 0.815564 | − | 0.684339i | −0.136365 | − | 0.990659i | \(-0.543542\pi\) |
0.951929 | + | 0.306319i | \(0.0990975\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −1.34679 | − | 1.52746i | −0.0494754 | − | 0.0561126i | ||||
\(742\) | 10.2716 | 0.377084 | ||||||||
\(743\) | −39.1676 | + | 32.8655i | −1.43692 | + | 1.20572i | −0.495443 | + | 0.868640i | \(0.664994\pi\) |
−0.941477 | + | 0.337079i | \(0.890561\pi\) | |||||||
\(744\) | −0.136847 | − | 0.0498082i | −0.00501706 | − | 0.00182606i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −2.26252 | − | 12.8314i | −0.0828368 | − | 0.469791i | ||||
\(747\) | −9.01586 | + | 3.28150i | −0.329873 | + | 0.120064i | ||||
\(748\) | −7.91556 | + | 13.7101i | −0.289421 | + | 0.501293i | ||||
\(749\) | −14.3370 | − | 24.8324i | −0.523863 | − | 0.907358i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 14.2455 | + | 11.9534i | 0.519825 | + | 0.436185i | 0.864571 | − | 0.502511i | \(-0.167590\pi\) |
−0.344745 | + | 0.938696i | \(0.612035\pi\) | |||||||
\(752\) | 2.77378 | + | 4.80434i | 0.101150 | + | 0.175196i | ||||
\(753\) | 0.708227 | − | 1.22669i | 0.0258092 | − | 0.0447029i | ||||
\(754\) | −5.42791 | + | 1.97560i | −0.197673 | + | 0.0719471i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −0.343438 | + | 1.94774i | −0.0124907 | + | 0.0708385i | ||||
\(757\) | −41.2095 | − | 14.9990i | −1.49778 | − | 0.545149i | −0.542298 | − | 0.840186i | \(-0.682446\pi\) |
−0.955486 | + | 0.295037i | \(0.904668\pi\) | |||||||
\(758\) | 16.4260 | − | 13.7831i | 0.596620 | − | 0.500624i | ||||
\(759\) | −1.13861 | −0.0413291 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 27.5848 | 0.999950 | 0.499975 | − | 0.866040i | \(-0.333343\pi\) | ||||
0.499975 | + | 0.866040i | \(0.333343\pi\) | |||||||
\(762\) | 0.189528 | − | 0.159033i | 0.00686587 | − | 0.00576115i | ||||
\(763\) | 19.0312 | + | 6.92680i | 0.688976 | + | 0.250767i | ||||
\(764\) | −0.589121 | + | 3.34107i | −0.0213137 | + | 0.120876i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −11.4828 | + | 4.17939i | −0.414890 | + | 0.151008i | ||||
\(767\) | 28.6967 | − | 49.7041i | 1.03618 | − | 1.79471i | ||||
\(768\) | −0.0430007 | − | 0.0744795i | −0.00155166 | − | 0.00268755i | ||||
\(769\) | −7.43025 | − | 6.23472i | −0.267942 | − | 0.224830i | 0.498911 | − | 0.866653i | \(-0.333734\pi\) |
−0.766852 | + | 0.641824i | \(0.778178\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0.964617 | + | 1.67077i | 0.0347398 | + | 0.0601711i | ||||
\(772\) | −8.37825 | + | 14.5116i | −0.301540 | + | 0.522283i | ||||
\(773\) | −29.8529 | + | 10.8656i | −1.07373 | + | 0.390807i | −0.817572 | − | 0.575827i | \(-0.804680\pi\) |
−0.256162 | + | 0.966634i | \(0.582458\pi\) | |||||||
\(774\) | 5.88361 | + | 33.3676i | 0.211482 | + | 1.19937i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −16.8862 | − | 6.14607i | −0.606178 | − | 0.220631i | ||||
\(777\) | 1.18804 | − | 0.996883i | 0.0426207 | − | 0.0357630i | ||||
\(778\) | −10.8567 | −0.389231 | ||||||||
\(779\) | 17.8864 | + | 45.6334i | 0.640848 | + | 1.63499i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −5.93863 | + | 4.98310i | −0.212501 | + | 0.178309i | ||||
\(782\) | −14.8749 | − | 5.41402i | −0.531925 | − | 0.193605i | ||||
\(783\) | −0.0951604 | + | 0.539682i | −0.00340076 | + | 0.0192866i | ||||
\(784\) | 1.34178 | + | 7.60961i | 0.0479207 | + | 0.271772i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0.418712 | − | 0.725231i | 0.0149350 | − | 0.0258681i | ||||
\(787\) | −20.4662 | − | 35.4486i | −0.729543 | − | 1.26361i | −0.957077 | − | 0.289835i | \(-0.906400\pi\) |
0.227534 | − | 0.973770i | \(-0.426934\pi\) | |||||||
\(788\) | −1.29429 | − | 1.08604i | −0.0461072 | − | 0.0386886i | ||||
\(789\) | 0.957446 | + | 0.803393i | 0.0340860 | + | 0.0286015i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −10.2724 | + | 17.7923i | −0.365243 | + | 0.632620i | ||||
\(792\) | −10.2327 | + | 3.72441i | −0.363605 | + | 0.132341i | ||||
\(793\) | −9.62176 | − | 54.5677i | −0.341679 | − | 1.93776i | ||||
\(794\) | −5.28065 | + | 29.9480i | −0.187403 | + | 1.06282i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −9.70294 | + | 8.14174i | −0.343912 | + | 0.288576i | ||||
\(797\) | 45.3730 | 1.60720 | 0.803598 | − | 0.595173i | \(-0.202916\pi\) | ||||
0.803598 | + | 0.595173i | \(0.202916\pi\) | |||||||
\(798\) | −1.22788 | + | 0.749592i | −0.0434664 | + | 0.0265353i | ||||
\(799\) | −24.1355 | −0.853854 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 9.01882 | + | 3.28258i | 0.318665 | + | 0.115984i | ||||
\(802\) | −1.75733 | + | 9.96633i | −0.0620536 | + | 0.351923i | ||||
\(803\) | −4.38100 | − | 24.8459i | −0.154602 | − | 0.876791i | ||||
\(804\) | −0.513564 | + | 0.186922i | −0.0181120 | + | 0.00659223i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 4.59935 | + | 7.96630i | 0.162005 | + | 0.280601i | ||||
\(807\) | 1.95101 | + | 1.63709i | 0.0686788 | + | 0.0576284i | ||||
\(808\) | 8.07755 | + | 6.77787i | 0.284167 | + | 0.238445i | ||||
\(809\) | 9.87479 | + | 17.1036i | 0.347179 | + | 0.601332i | 0.985747 | − | 0.168233i | \(-0.0538062\pi\) |
−0.638568 | + | 0.769565i | \(0.720473\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −38.2589 | + | 13.9251i | −1.34345 | + | 0.488976i | −0.910898 | − | 0.412632i | \(-0.864610\pi\) |
−0.432553 | + | 0.901608i | \(0.642387\pi\) | |||||||
\(812\) | 0.708585 | + | 4.01859i | 0.0248665 | + | 0.141025i | ||||
\(813\) | 0.177852 | − | 1.00865i | 0.00623755 | − | 0.0353749i | ||||
\(814\) | 16.0678 | + | 5.84820i | 0.563176 | + | 0.204979i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0.374163 | 0.0130983 | ||||||||
\(817\) | −30.7873 | + | 38.5710i | −1.07711 | + | 1.34943i | ||||
\(818\) | −18.4722 | −0.645865 | ||||||||
\(819\) | 47.7906 | − | 40.1011i | 1.66994 | − | 1.40125i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −1.97582 | + | 11.2055i | −0.0689567 | + | 0.391073i | 0.930722 | + | 0.365727i | \(0.119180\pi\) |
−0.999679 | + | 0.0253456i | \(0.991931\pi\) | |||||||
\(822\) | −0.218058 | − | 1.23667i | −0.00760564 | − | 0.0431337i | ||||
\(823\) | −14.9582 | + | 5.44433i | −0.521409 | + | 0.189777i | −0.589298 | − | 0.807915i | \(-0.700596\pi\) |
0.0678893 | + | 0.997693i | \(0.478374\pi\) | |||||||
\(824\) | 6.65638 | − | 11.5292i | 0.231886 | − | 0.401638i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −31.0592 | − | 26.0618i | −1.08069 | − | 0.906805i | ||||
\(827\) | −30.7586 | − | 25.8095i | −1.06958 | − | 0.897484i | −0.0745654 | − | 0.997216i | \(-0.523757\pi\) |
−0.995014 | + | 0.0997322i | \(0.968201\pi\) | |||||||
\(828\) | −5.44418 | − | 9.42960i | −0.189198 | − | 0.327701i | ||||
\(829\) | 0.218144 | − | 0.377836i | 0.00757644 | − | 0.0131228i | −0.862212 | − | 0.506547i | \(-0.830922\pi\) |
0.869789 | + | 0.493424i | \(0.164255\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0.169243 | + | 0.959823i | 0.00587096 | + | 0.0332959i | ||||
\(832\) | −0.943306 | + | 5.34975i | −0.0327033 | + | 0.185469i | ||||
\(833\) | −31.5901 | − | 11.4979i | −1.09453 | − | 0.398377i | ||||
\(834\) | −0.598992 | + | 0.502614i | −0.0207414 | + | 0.0174041i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −13.9262 | − | 7.59183i | −0.481648 | − | 0.262569i | ||||
\(837\) | 0.872700 | 0.0301649 | ||||||||
\(838\) | −9.60428 | + | 8.05895i | −0.331774 | + | 0.278392i | ||||
\(839\) | 0.618007 | + | 0.224936i | 0.0213360 | + | 0.00776566i | 0.352666 | − | 0.935749i | \(-0.385275\pi\) |
−0.331330 | + | 0.943515i | \(0.607497\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −4.83946 | − | 27.4459i | −0.166878 | − | 0.946412i | ||||
\(842\) | 33.8406 | − | 12.3170i | 1.16622 | − | 0.424471i | ||||
\(843\) | 0.274945 | − | 0.476218i | 0.00946960 | − | 0.0164018i | ||||
\(844\) | 4.18282 | + | 7.24486i | 0.143979 | + | 0.249378i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −12.7176 | − | 10.6714i | −0.437241 | − | 0.366889i | ||||
\(847\) | −4.29962 | − | 7.44717i | −0.147737 | − | 0.255888i | ||||
\(848\) | 1.33830 | − | 2.31800i | 0.0459573 | − | 0.0796005i | ||||
\(849\) | 0.495318 | − | 0.180281i | 0.0169993 | − | 0.00618723i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −2.96891 | + | 16.8375i | −0.101773 | + | 0.577183i | ||||
\(852\) | 0.172174 | + | 0.0626661i | 0.00589857 | + | 0.00214691i | ||||
\(853\) | −9.62499 | + | 8.07632i | −0.329553 | + | 0.276528i | −0.792518 | − | 0.609849i | \(-0.791230\pi\) |
0.462965 | + | 0.886377i | \(0.346786\pi\) | |||||||
\(854\) | −39.1434 | −1.33946 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −7.47191 | −0.255385 | ||||||||
\(857\) | −33.2359 | + | 27.8882i | −1.13532 | + | 0.952643i | −0.999275 | − | 0.0380598i | \(-0.987882\pi\) |
−0.136041 | + | 0.990703i | \(0.543438\pi\) | |||||||
\(858\) | −1.59746 | − | 0.581430i | −0.0545365 | − | 0.0198497i | ||||
\(859\) | −6.32528 | + | 35.8724i | −0.215816 | + | 1.22395i | 0.663670 | + | 0.748026i | \(0.268998\pi\) |
−0.879486 | + | 0.475926i | \(0.842113\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 3.48730 | − | 1.26927i | 0.118847 | − | 0.0432567i | ||||
\(862\) | 10.8493 | − | 18.7915i | 0.369527 | − | 0.640040i | ||||
\(863\) | −9.94203 | − | 17.2201i | −0.338431 | − | 0.586179i | 0.645707 | − | 0.763585i | \(-0.276563\pi\) |
−0.984138 | + | 0.177406i | \(0.943229\pi\) | |||||||
\(864\) | 0.394798 | + | 0.331275i | 0.0134313 | + | 0.0112702i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −0.227792 | − | 0.394547i | −0.00774068 | − | 0.0134072i | ||||
\(867\) | −0.0829131 | + | 0.143610i | −0.00281588 | + | 0.00487724i | ||||
\(868\) | 6.10642 | − | 2.22256i | 0.207265 | − | 0.0754384i | ||||
\(869\) | −4.92061 | − | 27.9062i | −0.166920 | − | 0.946652i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 32.4393 | + | 11.8069i | 1.09916 | + | 0.400062i | ||||
\(872\) | 4.04276 | − | 3.39227i | 0.136905 | − | 0.114877i | ||||
\(873\) | 53.7768 | 1.82007 | ||||||||
\(874\) | 5.05772 | − | 15.0314i | 0.171080 | − | 0.508446i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −0.456778 | + | 0.383282i | −0.0154331 | + | 0.0129499i | ||||
\(877\) | −9.98104 | − | 3.63280i | −0.337036 | − | 0.122671i | 0.167958 | − | 0.985794i | \(-0.446283\pi\) |
−0.504993 | + | 0.863123i | \(0.668505\pi\) | |||||||
\(878\) | 0.103076 | − | 0.584572i | 0.00347864 | − | 0.0197284i | ||||
\(879\) | 0.144877 | + | 0.821641i | 0.00488659 | + | 0.0277133i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −10.5068 | + | 18.1983i | −0.353982 | + | 0.613116i | −0.986943 | − | 0.161068i | \(-0.948506\pi\) |
0.632961 | + | 0.774184i | \(0.281839\pi\) | |||||||
\(882\) | −11.5619 | − | 20.0258i | −0.389310 | − | 0.674305i | ||||
\(883\) | −26.8463 | − | 22.5267i | −0.903450 | − | 0.758085i | 0.0674116 | − | 0.997725i | \(-0.478526\pi\) |
−0.970862 | + | 0.239641i | \(0.922970\pi\) | |||||||
\(884\) | −18.1047 | − | 15.1916i | −0.608926 | − | 0.510950i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 18.8464 | − | 32.6429i | 0.633158 | − | 1.09666i | ||||
\(887\) | 5.34637 | − | 1.94592i | 0.179514 | − | 0.0653376i | −0.250700 | − | 0.968065i | \(-0.580661\pi\) |
0.430213 | + | 0.902727i | \(0.358438\pi\) | |||||||
\(888\) | −0.0701762 | − | 0.397989i | −0.00235496 | − | 0.0133556i | ||||
\(889\) | −1.91708 | + | 10.8723i | −0.0642968 | + | 0.364645i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 24.9019 | − | 20.8952i | 0.834244 | − | 0.700014i | ||||
\(892\) | −0.128411 | −0.00429951 | ||||||||
\(893\) | −0.592129 | − | 24.1740i | −0.0198149 | − | 0.808953i | ||||
\(894\) | 0.459749 | 0.0153763 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 3.60614 | + | 1.31253i | 0.120473 | + | 0.0438485i | ||||
\(897\) | 0.295170 | − | 1.67399i | 0.00985544 | − | 0.0558930i | ||||
\(898\) | 3.55042 | + | 20.1354i | 0.118479 | + | 0.671928i | ||||
\(899\) | 1.69198 | − | 0.615829i | 0.0564306 | − | 0.0205390i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 5.82247 | + | 10.0848i | 0.193975 | + | 0.335974i | ||||
\(902\) | 31.3438 | + | 26.3005i | 1.04363 | + | 0.875712i | ||||
\(903\) | 2.86247 | + | 2.40190i | 0.0952571 | + | 0.0799302i | ||||
\(904\) | 2.67678 | + | 4.63632i | 0.0890285 | + | 0.154202i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0.963210 | − | 0.350580i | 0.0320005 | − | 0.0116472i | ||||
\(907\) | −10.1428 | − | 57.5230i | −0.336788 | − | 1.91002i | −0.408818 | − | 0.912616i | \(-0.634059\pi\) |
0.0720304 | − | 0.997402i | \(-0.477052\pi\) | |||||||
\(908\) | 1.59412 | − | 9.04072i | 0.0529028 | − | 0.300027i | ||||
\(909\) | −29.6525 | − | 10.7926i | −0.983510 | − | 0.357968i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −10.1271 | −0.335525 | −0.167763 | − | 0.985827i | \(-0.553654\pi\) | ||||
−0.167763 | + | 0.985827i | \(0.553654\pi\) | |||||||
\(912\) | 0.00917952 | + | 0.374759i | 0.000303964 | + | 0.0124095i | ||||
\(913\) | −11.6662 | −0.386095 | ||||||||
\(914\) | −9.93157 | + | 8.33358i | −0.328507 | + | 0.275650i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 1.02044 | − | 5.78720i | 0.0337163 | − | 0.191214i | ||||
\(917\) | 6.48884 | + | 36.8000i | 0.214280 | + | 1.21524i | ||||
\(918\) | −2.10699 | + | 0.766880i | −0.0695409 | + | 0.0253108i | ||||
\(919\) | −6.04486 | + | 10.4700i | −0.199401 | + | 0.345373i | −0.948335 | − | 0.317272i | \(-0.897233\pi\) |
0.748933 | + | 0.662646i | \(0.230566\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0.187117 | + | 0.157010i | 0.00616572 | + | 0.00517365i | ||||
\(922\) | −2.15375 | − | 1.80721i | −0.0709300 | − | 0.0595174i | ||||
\(923\) | −5.78665 | − | 10.0228i | −0.190470 | − | 0.329904i | ||||
\(924\) | −0.600468 | + | 1.04004i | −0.0197540 | + | 0.0342149i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 3.54032 | + | 20.0781i | 0.116342 | + | 0.659808i | ||||
\(927\) | −6.91811 | + | 39.2346i | −0.227221 | + | 1.28863i | ||||
\(928\) | 0.999196 | + | 0.363677i | 0.0328002 | + | 0.0119383i | ||||
\(929\) | 16.9263 | − | 14.2029i | 0.555334 | − | 0.465981i | −0.321408 | − | 0.946941i | \(-0.604156\pi\) |
0.876743 | + | 0.480960i | \(0.159712\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 10.7412 | − | 31.9226i | 0.352028 | − | 1.04622i | ||||
\(932\) | −6.15548 | −0.201629 | ||||||||
\(933\) | −0.783898 | + | 0.657768i | −0.0256637 | + | 0.0215344i | ||||
\(934\) | 23.7967 | + | 8.66130i | 0.778653 | + | 0.283407i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −2.82294 | − | 16.0097i | −0.0922707 | − | 0.523293i | ||||
\(937\) | −9.08162 | + | 3.30544i | −0.296684 | + | 0.107984i | −0.486073 | − | 0.873918i | \(-0.661571\pi\) |
0.189390 | + | 0.981902i | \(0.439349\pi\) | |||||||
\(938\) | 12.1935 | − | 21.1198i | 0.398133 | − | 0.689587i | ||||
\(939\) | −1.18226 | − | 2.04774i | −0.0385817 | − | 0.0668255i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −32.1824 | − | 27.0043i | −1.04912 | − | 0.880314i | −0.0561173 | − | 0.998424i | \(-0.517872\pi\) |
−0.993001 | + | 0.118110i | \(0.962317\pi\) | |||||||
\(942\) | 0.695469 | + | 1.20459i | 0.0226596 | + | 0.0392476i | ||||
\(943\) | −20.4561 | + | 35.4311i | −0.666143 | + | 1.15379i | ||||
\(944\) | −9.92808 | + | 3.61353i | −0.323131 | + | 0.117610i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −7.15404 | + | 40.5726i | −0.232598 | + | 1.31913i | ||||
\(947\) | 28.8476 | + | 10.4997i | 0.937421 | + | 0.341193i | 0.765147 | − | 0.643856i | \(-0.222666\pi\) |
0.172274 | + | 0.985049i | \(0.444888\pi\) | |||||||
\(948\) | −0.513040 | + | 0.430492i | −0.0166628 | + | 0.0139817i | ||||
\(949\) | 37.6641 | 1.22263 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 1.51796 | 0.0492233 | ||||||||
\(952\) | −12.7899 | + | 10.7320i | −0.414522 | + | 0.347825i | ||||
\(953\) | −24.7298 | − | 9.00090i | −0.801076 | − | 0.291568i | −0.0911437 | − | 0.995838i | \(-0.529052\pi\) |
−0.709932 | + | 0.704270i | \(0.751274\pi\) | |||||||
\(954\) | −1.39092 | + | 7.88830i | −0.0450327 | + | 0.255393i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 1.93295 | − | 0.703536i | 0.0625160 | − | 0.0227540i | ||||
\(957\) | −0.166379 | + | 0.288176i | −0.00537826 | + | 0.00931542i | ||||
\(958\) | −19.4647 | − | 33.7138i | −0.628875 | − | 1.08924i | ||||
\(959\) | 42.9246 | + | 36.0180i | 1.38611 | + | 1.16308i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 14.0663 | + | 24.3636i | 0.453752 | + | 0.785921i | ||||
\(962\) | −12.7634 | + | 22.1068i | −0.411508 | + | 0.712753i | ||||
\(963\) | 21.0120 | − | 7.64773i | 0.677101 | − | 0.246445i | ||||
\(964\) | 1.67554 | + | 9.50245i | 0.0539655 | + | 0.306053i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −1.12840 | − | 0.410703i | −0.0363056 | − | 0.0132142i | ||||
\(967\) | −14.7609 | + | 12.3858i | −0.474677 | + | 0.398301i | −0.848497 | − | 0.529200i | \(-0.822492\pi\) |
0.373820 | + | 0.927501i | \(0.378048\pi\) | |||||||
\(968\) | −2.24080 | −0.0720221 | ||||||||
\(969\) | −1.43198 | − | 0.780637i | −0.0460017 | − | 0.0250777i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 18.9271 | − | 15.8817i | 0.607398 | − | 0.509668i | −0.286416 | − | 0.958105i | \(-0.592464\pi\) |
0.893814 | + | 0.448438i | \(0.148019\pi\) | |||||||
\(972\) | −2.17484 | − | 0.791575i | −0.0697579 | − | 0.0253898i | ||||
\(973\) | 6.05883 | − | 34.3613i | 0.194237 | − | 1.10157i | ||||
\(974\) | −4.40727 | − | 24.9949i | −0.141218 | − | 0.800888i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −5.10002 | + | 8.83349i | −0.163248 | + | 0.282753i | ||||
\(977\) | −27.3110 | − | 47.3041i | −0.873757 | − | 1.51339i | −0.858081 | − | 0.513515i | \(-0.828343\pi\) |
−0.0156762 | − | 0.999877i | \(-0.504990\pi\) | |||||||
\(978\) | 0.786958 | + | 0.660336i | 0.0251641 | + | 0.0211152i | ||||
\(979\) | 8.93976 | + | 7.50135i | 0.285716 | + | 0.239744i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −7.89665 | + | 13.6774i | −0.252121 | + | 0.436686i | ||||
\(982\) | −20.7422 | + | 7.54953i | −0.661909 | + | 0.240915i | ||||
\(983\) | −0.0238366 | − | 0.135184i | −0.000760268 | − | 0.00431169i | 0.984425 | − | 0.175804i | \(-0.0562524\pi\) |
−0.985186 | + | 0.171492i | \(0.945141\pi\) | |||||||
\(984\) | 0.167925 | − | 0.952352i | 0.00535326 | − | 0.0303599i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −3.54383 | + | 2.97363i | −0.112859 | + | 0.0946996i | ||||
\(987\) | −1.83090 | −0.0582783 | ||||||||
\(988\) | 14.7717 | − | 18.5063i | 0.469950 | − | 0.588762i | ||||
\(989\) | −41.1944 | −1.30990 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 30.7282 | + | 11.1841i | 0.976112 | + | 0.355276i | 0.780327 | − | 0.625371i | \(-0.215052\pi\) |
0.195785 | + | 0.980647i | \(0.437275\pi\) | |||||||
\(992\) | 0.294045 | − | 1.66761i | 0.00933594 | − | 0.0529467i | ||||
\(993\) | −0.435072 | − | 2.46742i | −0.0138066 | − | 0.0783011i | ||||
\(994\) | −7.68278 | + | 2.79630i | −0.243683 | + | 0.0886933i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0.137863 | + | 0.238786i | 0.00436836 | + | 0.00756622i | ||||
\(997\) | 14.3103 | + | 12.0078i | 0.453211 | + | 0.380289i | 0.840626 | − | 0.541616i | \(-0.182187\pi\) |
−0.387415 | + | 0.921906i | \(0.626632\pi\) | |||||||
\(998\) | 7.84215 | + | 6.58034i | 0.248239 | + | 0.208297i | ||||
\(999\) | 1.21089 | + | 2.09733i | 0.0383109 | + | 0.0663564i |
(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 | 950.2.l.l.101.3 | 30 | ||
5.2 | odd | 4 | 190.2.p.a.139.3 | ✓ | 60 | ||
5.3 | odd | 4 | 190.2.p.a.139.8 | yes | 60 | ||
5.4 | even | 2 | 950.2.l.m.101.3 | 30 | |||
19.16 | even | 9 | inner | 950.2.l.l.301.3 | 30 | ||
95.54 | even | 18 | 950.2.l.m.301.3 | 30 | |||
95.73 | odd | 36 | 190.2.p.a.149.3 | yes | 60 | ||
95.92 | odd | 36 | 190.2.p.a.149.8 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
190.2.p.a.139.3 | ✓ | 60 | 5.2 | odd | 4 | ||
190.2.p.a.139.8 | yes | 60 | 5.3 | odd | 4 | ||
190.2.p.a.149.3 | yes | 60 | 95.73 | odd | 36 | ||
190.2.p.a.149.8 | yes | 60 | 95.92 | odd | 36 | ||
950.2.l.l.101.3 | 30 | 1.1 | even | 1 | trivial | ||
950.2.l.l.301.3 | 30 | 19.16 | even | 9 | inner | ||
950.2.l.m.101.3 | 30 | 5.4 | even | 2 | |||
950.2.l.m.301.3 | 30 | 95.54 | even | 18 |