Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [891,2,Mod(136,891)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(891, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("891.136");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 891 = 3^{4} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 891.n (of order \(15\), degree \(8\), 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: | \(7.11467082010\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | \(\Q(\zeta_{15})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + x^{5} - x^{4} + x^{3} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 33) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 784.1 | ||
Root | \(0.913545 + 0.406737i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 891.784 |
Dual form | 891.2.n.d.433.1 |
$q$-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 \(\left(\mathbb{Z}/891\mathbb{Z}\right)^\times\).
\(n\) | \(244\) | \(650\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.169131 | − | 1.60917i | −0.119593 | − | 1.13786i | −0.875514 | − | 0.483192i | \(-0.839477\pi\) |
0.755921 | − | 0.654663i | \(-0.227189\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.604528 | + | 0.128496i | −0.302264 | + | 0.0642482i | ||||
\(5\) | 0.0399263 | − | 0.379874i | 0.0178556 | − | 0.169885i | −0.981960 | − | 0.189089i | \(-0.939447\pi\) |
0.999816 | + | 0.0192042i | \(0.00611326\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.00739 | + | 2.22943i | 0.758723 | + | 0.842647i | 0.991530 | − | 0.129876i | \(-0.0414579\pi\) |
−0.232807 | + | 0.972523i | \(0.574791\pi\) | |||||||
\(8\) | −0.690983 | − | 2.12663i | −0.244299 | − | 0.751876i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.618034 | −0.195440 | ||||||||
\(11\) | 0.122602 | + | 3.31436i | 0.0369660 | + | 0.999317i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.69693 | + | 2.53644i | 1.58004 | + | 0.703481i | 0.994261 | − | 0.106986i | \(-0.0341200\pi\) |
0.585784 | + | 0.810467i | \(0.300787\pi\) | |||||||
\(14\) | 3.24803 | − | 3.60730i | 0.868072 | − | 0.964092i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −4.43444 | + | 1.97434i | −1.10861 | + | 0.493585i | ||||
\(17\) | 0.500000 | + | 0.363271i | 0.121268 | + | 0.0881062i | 0.646766 | − | 0.762688i | \(-0.276121\pi\) |
−0.525498 | + | 0.850795i | \(0.676121\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.263932 | − | 0.812299i | −0.0605502 | − | 0.186354i | 0.916206 | − | 0.400707i | \(-0.131236\pi\) |
−0.976756 | + | 0.214353i | \(0.931236\pi\) | |||||||
\(20\) | 0.0246758 | + | 0.234775i | 0.00551768 | + | 0.0524972i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 5.31263 | − | 0.757847i | 1.13266 | − | 0.161574i | ||||
\(23\) | 2.73607 | + | 4.73901i | 0.570510 | + | 0.988152i | 0.996514 | + | 0.0834304i | \(0.0265876\pi\) |
−0.426004 | + | 0.904721i | \(0.640079\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.74803 | + | 1.00922i | 0.949606 | + | 0.201845i | ||||
\(26\) | 3.11803 | − | 9.59632i | 0.611497 | − | 1.88199i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.50000 | − | 1.08981i | −0.283473 | − | 0.205955i | ||||
\(29\) | −2.99244 | − | 3.32344i | −0.555683 | − | 0.617148i | 0.398211 | − | 0.917294i | \(-0.369631\pi\) |
−0.953893 | + | 0.300146i | \(0.902965\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.52090 | − | 1.56760i | −0.632372 | − | 0.281550i | 0.0654122 | − | 0.997858i | \(-0.479164\pi\) |
−0.697784 | + | 0.716308i | \(0.745830\pi\) | |||||||
\(32\) | 1.69098 | + | 2.92887i | 0.298926 | + | 0.517756i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.500000 | − | 0.866025i | 0.0857493 | − | 0.148522i | ||||
\(35\) | 0.927051 | − | 0.673542i | 0.156700 | − | 0.113849i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.30902 | + | 4.02874i | −0.215201 | + | 0.662321i | 0.783938 | + | 0.620839i | \(0.213208\pi\) |
−0.999139 | + | 0.0414819i | \(0.986792\pi\) | |||||||
\(38\) | −1.26249 | + | 0.562096i | −0.204803 | + | 0.0911840i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.835438 | + | 0.177578i | −0.132094 | + | 0.0280775i | ||||
\(41\) | 3.97749 | − | 4.41745i | 0.621180 | − | 0.689891i | −0.347648 | − | 0.937625i | \(-0.613019\pi\) |
0.968828 | + | 0.247735i | \(0.0796861\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.881966 | + | 1.52761i | −0.134499 | + | 0.232958i | −0.925406 | − | 0.378978i | \(-0.876276\pi\) |
0.790907 | + | 0.611936i | \(0.209609\pi\) | |||||||
\(44\) | −0.500000 | − | 1.98787i | −0.0753778 | − | 0.299683i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 7.16312 | − | 5.20431i | 1.05614 | − | 0.767334i | ||||
\(47\) | 0.604528 | + | 0.128496i | 0.0881795 | + | 0.0187431i | 0.251790 | − | 0.967782i | \(-0.418981\pi\) |
−0.163611 | + | 0.986525i | \(0.552314\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.209057 | + | 1.98904i | −0.0298653 | + | 0.284149i | ||||
\(50\) | 0.820977 | − | 7.81108i | 0.116104 | − | 1.10465i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −3.76988 | − | 0.801313i | −0.522788 | − | 0.111122i | ||||
\(53\) | 5.97214 | − | 4.33901i | 0.820336 | − | 0.596009i | −0.0964728 | − | 0.995336i | \(-0.530756\pi\) |
0.916809 | + | 0.399327i | \(0.130756\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.26393 | + | 0.0857567i | 0.170429 | + | 0.0115634i | ||||
\(56\) | 3.35410 | − | 5.80948i | 0.448211 | − | 0.776324i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.84187 | + | 5.37745i | −0.635769 | + | 0.706093i | ||||
\(59\) | 5.20985 | − | 1.10739i | 0.678264 | − | 0.144170i | 0.144117 | − | 0.989561i | \(-0.453966\pi\) |
0.534148 | + | 0.845391i | \(0.320633\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.04683 | − | 0.466079i | 0.134033 | − | 0.0596753i | −0.338624 | − | 0.940922i | \(-0.609962\pi\) |
0.472657 | + | 0.881246i | \(0.343295\pi\) | |||||||
\(62\) | −1.92705 | + | 5.93085i | −0.244736 | + | 0.753219i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −3.42705 | + | 2.48990i | −0.428381 | + | 0.311237i | ||||
\(65\) | 1.19098 | − | 2.06284i | 0.147723 | − | 0.255864i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.28115 | − | 9.14723i | −0.645196 | − | 1.11751i | −0.984256 | − | 0.176747i | \(-0.943443\pi\) |
0.339061 | − | 0.940764i | \(-0.389891\pi\) | |||||||
\(68\) | −0.348943 | − | 0.155360i | −0.0423156 | − | 0.0188401i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.24064 | − | 1.37787i | −0.148284 | − | 0.164687i | ||||
\(71\) | −11.7812 | − | 8.55951i | −1.39817 | − | 1.01583i | −0.994913 | − | 0.100738i | \(-0.967880\pi\) |
−0.403253 | − | 0.915089i | \(-0.632120\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.381966 | − | 1.17557i | 0.0447057 | − | 0.137590i | −0.926212 | − | 0.377003i | \(-0.876955\pi\) |
0.970918 | + | 0.239412i | \(0.0769548\pi\) | |||||||
\(74\) | 6.70432 | + | 1.42505i | 0.779362 | + | 0.165658i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.263932 | + | 0.457144i | 0.0302751 | + | 0.0524380i | ||||
\(77\) | −7.14303 | + | 6.92655i | −0.814024 | + | 0.789354i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.0551768 | − | 0.524972i | −0.00620788 | − | 0.0590640i | 0.990979 | − | 0.134014i | \(-0.0427868\pi\) |
−0.997187 | + | 0.0749504i | \(0.976120\pi\) | |||||||
\(80\) | 0.572949 | + | 1.76336i | 0.0640576 | + | 0.197149i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −7.78115 | − | 5.65334i | −0.859285 | − | 0.624307i | ||||
\(83\) | −11.6095 | + | 5.16889i | −1.27431 | + | 0.567360i | −0.928635 | − | 0.370994i | \(-0.879017\pi\) |
−0.345676 | + | 0.938354i | \(0.612350\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.157960 | − | 0.175433i | 0.0171332 | − | 0.0190283i | ||||
\(86\) | 2.60735 | + | 1.16087i | 0.281158 | + | 0.125180i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 6.96369 | − | 2.55089i | 0.742332 | − | 0.271926i | ||||
\(89\) | 9.47214 | 1.00404 | 0.502022 | − | 0.864855i | \(-0.332590\pi\) | ||||
0.502022 | + | 0.864855i | \(0.332590\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 5.78115 | + | 17.7926i | 0.606029 | + | 1.86517i | ||||
\(92\) | −2.26298 | − | 2.51329i | −0.235932 | − | 0.262029i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.104528 | − | 0.994522i | 0.0107813 | − | 0.102577i | ||||
\(95\) | −0.319109 | + | 0.0678287i | −0.0327399 | + | 0.00695908i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.57153 | − | 14.9521i | −0.159564 | − | 1.51815i | −0.722336 | − | 0.691542i | \(-0.756932\pi\) |
0.562772 | − | 0.826612i | \(-0.309735\pi\) | |||||||
\(98\) | 3.23607 | 0.326892 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.00000 | −0.300000 | ||||||||
\(101\) | 0.313585 | + | 2.98357i | 0.0312029 | + | 0.296876i | 0.998983 | + | 0.0450803i | \(0.0143544\pi\) |
−0.967780 | + | 0.251796i | \(0.918979\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.86889 | − | 1.24747i | 0.578278 | − | 0.122917i | 0.0905187 | − | 0.995895i | \(-0.471148\pi\) |
0.487760 | + | 0.872978i | \(0.337814\pi\) | |||||||
\(104\) | 1.45757 | − | 13.8679i | 0.142927 | − | 1.35986i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −7.99228 | − | 8.87632i | −0.776279 | − | 0.862145i | ||||
\(107\) | 0.0729490 | + | 0.224514i | 0.00705225 | + | 0.0217046i | 0.954521 | − | 0.298145i | \(-0.0963678\pi\) |
−0.947468 | + | 0.319849i | \(0.896368\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(110\) | −0.0757724 | − | 2.04839i | −0.00722462 | − | 0.195306i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −13.3033 | − | 5.92302i | −1.25705 | − | 0.559673i | ||||
\(113\) | −8.50345 | + | 9.44404i | −0.799937 | + | 0.888420i | −0.995738 | − | 0.0922234i | \(-0.970603\pi\) |
0.195801 | + | 0.980644i | \(0.437269\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.90947 | − | 0.850149i | 0.178059 | − | 0.0792768i | ||||
\(116\) | 2.23607 | + | 1.62460i | 0.207614 | + | 0.150840i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.66312 | − | 8.19624i | −0.245160 | − | 0.754525i | ||||
\(119\) | 0.193806 | + | 1.84395i | 0.0177662 | + | 0.169034i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.9699 | + | 0.812696i | −0.997267 | + | 0.0738815i | ||||
\(122\) | −0.927051 | − | 1.60570i | −0.0839313 | − | 0.145373i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 2.32991 | + | 0.495239i | 0.209232 | + | 0.0444737i | ||||
\(125\) | 1.16312 | − | 3.57971i | 0.104033 | − | 0.320179i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −7.85410 | − | 5.70634i | −0.696939 | − | 0.506356i | 0.181995 | − | 0.983299i | \(-0.441745\pi\) |
−0.878934 | + | 0.476944i | \(0.841745\pi\) | |||||||
\(128\) | 9.11224 | + | 10.1202i | 0.805416 | + | 0.894505i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −3.52090 | − | 1.56760i | −0.308803 | − | 0.137488i | ||||
\(131\) | 6.92705 | + | 11.9980i | 0.605219 | + | 1.04827i | 0.992017 | + | 0.126106i | \(0.0402479\pi\) |
−0.386798 | + | 0.922165i | \(0.626419\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.28115 | − | 2.21902i | 0.111090 | − | 0.192414i | ||||
\(134\) | −13.8262 | + | 10.0453i | −1.19441 | + | 0.867786i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.427051 | − | 1.31433i | 0.0366193 | − | 0.112703i | ||||
\(137\) | −1.34486 | + | 0.598772i | −0.114899 | + | 0.0511565i | −0.463381 | − | 0.886159i | \(-0.653364\pi\) |
0.348482 | + | 0.937316i | \(0.386697\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.72618 | + | 1.21714i | −0.485688 | + | 0.103236i | −0.444246 | − | 0.895905i | \(-0.646528\pi\) |
−0.0414417 | + | 0.999141i | \(0.513195\pi\) | |||||||
\(140\) | −0.473881 | + | 0.526298i | −0.0400502 | + | 0.0444803i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −11.7812 | + | 20.4056i | −0.988652 | + | 1.71240i | ||||
\(143\) | −7.70820 | + | 19.1926i | −0.644592 | + | 1.60497i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1.38197 | + | 1.00406i | −0.114766 | + | 0.0833824i | ||||
\(146\) | −1.95630 | − | 0.415823i | −0.161904 | − | 0.0344138i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.273659 | − | 2.60369i | 0.0224946 | − | 0.214022i | ||||
\(149\) | −1.56793 | + | 14.9178i | −0.128450 | + | 1.22212i | 0.720429 | + | 0.693529i | \(0.243945\pi\) |
−0.848879 | + | 0.528588i | \(0.822722\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.95630 | − | 0.415823i | −0.159201 | − | 0.0338392i | 0.127622 | − | 0.991823i | \(-0.459266\pi\) |
−0.286823 | + | 0.957984i | \(0.592599\pi\) | |||||||
\(152\) | −1.54508 | + | 1.12257i | −0.125323 | + | 0.0910524i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 12.3541 | + | 10.3229i | 0.995522 | + | 0.831840i | ||||
\(155\) | −0.736068 | + | 1.27491i | −0.0591224 | + | 0.102403i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.49606 | − | 7.21460i | 0.518442 | − | 0.575788i | −0.425893 | − | 0.904773i | \(-0.640040\pi\) |
0.944335 | + | 0.328986i | \(0.106707\pi\) | |||||||
\(158\) | −0.835438 | + | 0.177578i | −0.0664639 | + | 0.0141273i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.18011 | − | 0.525421i | 0.0932962 | − | 0.0415382i | ||||
\(161\) | −5.07295 | + | 15.6129i | −0.399804 | + | 1.23047i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 12.3541 | − | 8.97578i | 0.967648 | − | 0.703037i | 0.0127336 | − | 0.999919i | \(-0.495947\pi\) |
0.954914 | + | 0.296882i | \(0.0959467\pi\) | |||||||
\(164\) | −1.83688 | + | 3.18157i | −0.143436 | + | 0.248439i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 10.2812 | + | 17.8075i | 0.797972 | + | 1.38213i | ||||
\(167\) | −17.3888 | − | 7.74200i | −1.34559 | − | 0.599094i | −0.397646 | − | 0.917539i | \(-0.630173\pi\) |
−0.947942 | + | 0.318444i | \(0.896840\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 17.3228 | + | 19.2389i | 1.33252 | + | 1.47992i | ||||
\(170\) | −0.309017 | − | 0.224514i | −0.0237005 | − | 0.0172194i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.336881 | − | 1.03681i | 0.0256869 | − | 0.0790563i | ||||
\(173\) | −17.2330 | − | 3.66300i | −1.31020 | − | 0.278492i | −0.500707 | − | 0.865617i | \(-0.666927\pi\) |
−0.809497 | + | 0.587124i | \(0.800260\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 7.28115 | + | 12.6113i | 0.550403 | + | 0.953327i | ||||
\(176\) | −7.08735 | − | 14.4553i | −0.534229 | − | 1.08961i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.60203 | − | 15.2423i | −0.120077 | − | 1.14246i | ||||
\(179\) | 0.690983 | + | 2.12663i | 0.0516465 | + | 0.158952i | 0.973553 | − | 0.228460i | \(-0.0733691\pi\) |
−0.921907 | + | 0.387412i | \(0.873369\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 6.89919 | + | 5.01255i | 0.512813 | + | 0.372580i | 0.813889 | − | 0.581020i | \(-0.197346\pi\) |
−0.301077 | + | 0.953600i | \(0.597346\pi\) | |||||||
\(182\) | 27.6535 | − | 12.3121i | 2.04981 | − | 0.912635i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 8.18753 | − | 9.09317i | 0.603593 | − | 0.670357i | ||||
\(185\) | 1.47815 | + | 0.658114i | 0.108676 | + | 0.0483855i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.14271 | + | 1.70172i | −0.0835632 | + | 0.124442i | ||||
\(188\) | −0.381966 | −0.0278577 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.163119 | + | 0.502029i | 0.0118339 | + | 0.0364210i | ||||
\(191\) | 0.985051 | + | 1.09401i | 0.0712758 | + | 0.0791598i | 0.777728 | − | 0.628601i | \(-0.216372\pi\) |
−0.706452 | + | 0.707761i | \(0.749705\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.163305 | + | 1.55375i | −0.0117550 | + | 0.111841i | −0.998826 | − | 0.0484425i | \(-0.984574\pi\) |
0.987071 | + | 0.160284i | \(0.0512409\pi\) | |||||||
\(194\) | −23.7947 | + | 5.05771i | −1.70836 | + | 0.363122i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.129204 | − | 1.22930i | −0.00922888 | − | 0.0878069i | ||||
\(197\) | 26.6180 | 1.89646 | 0.948228 | − | 0.317590i | \(-0.102873\pi\) | ||||
0.948228 | + | 0.317590i | \(0.102873\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3.29180 | −0.233349 | −0.116675 | − | 0.993170i | \(-0.537223\pi\) | ||||
−0.116675 | + | 0.993170i | \(0.537223\pi\) | |||||||
\(200\) | −1.13456 | − | 10.7946i | −0.0802257 | − | 0.763296i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 4.74803 | − | 1.00922i | 0.334070 | − | 0.0710088i | ||||
\(203\) | 1.40240 | − | 13.3429i | 0.0984289 | − | 0.936489i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.51927 | − | 1.68732i | −0.106110 | − | 0.117847i | ||||
\(206\) | −3.00000 | − | 9.23305i | −0.209020 | − | 0.643297i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −30.2705 | −2.09888 | ||||||||
\(209\) | 2.65989 | − | 0.974355i | 0.183989 | − | 0.0673975i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 10.2961 | + | 4.58413i | 0.708814 | + | 0.315584i | 0.729289 | − | 0.684206i | \(-0.239851\pi\) |
−0.0204746 | + | 0.999790i | \(0.506518\pi\) | |||||||
\(212\) | −3.05278 | + | 3.39045i | −0.209666 | + | 0.232857i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.348943 | − | 0.155360i | 0.0238533 | − | 0.0106202i | ||||
\(215\) | 0.545085 | + | 0.396027i | 0.0371745 | + | 0.0270088i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.57295 | − | 10.9964i | −0.242548 | − | 0.746485i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.775102 | + | 0.110568i | −0.0522574 | + | 0.00745452i | ||||
\(221\) | 1.92705 | + | 3.33775i | 0.129627 | + | 0.224521i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 12.4305 | + | 2.64218i | 0.832408 | + | 0.176934i | 0.604355 | − | 0.796715i | \(-0.293431\pi\) |
0.228053 | + | 0.973649i | \(0.426764\pi\) | |||||||
\(224\) | −3.13525 | + | 9.64932i | −0.209483 | + | 0.644722i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 16.6353 | + | 12.0862i | 1.10656 | + | 0.803963i | ||||
\(227\) | 7.28586 | + | 8.09176i | 0.483579 | + | 0.537069i | 0.934721 | − | 0.355383i | \(-0.115650\pi\) |
−0.451141 | + | 0.892453i | \(0.648983\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 9.13545 | + | 4.06737i | 0.603688 | + | 0.268779i | 0.685737 | − | 0.727849i | \(-0.259480\pi\) |
−0.0820495 | + | 0.996628i | \(0.526147\pi\) | |||||||
\(230\) | −1.69098 | − | 2.92887i | −0.111500 | − | 0.193124i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −5.00000 | + | 8.66025i | −0.328266 | + | 0.568574i | ||||
\(233\) | −7.01722 | + | 5.09831i | −0.459713 | + | 0.334001i | −0.793419 | − | 0.608676i | \(-0.791701\pi\) |
0.333705 | + | 0.942677i | \(0.391701\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.0729490 | − | 0.224514i | 0.00475867 | − | 0.0146457i | ||||
\(236\) | −3.00721 | + | 1.33889i | −0.195752 | + | 0.0871546i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.93444 | − | 0.623735i | 0.190212 | − | 0.0404307i | ||||
\(239\) | −11.7515 | + | 13.0513i | −0.760140 | + | 0.844221i | −0.991696 | − | 0.128601i | \(-0.958951\pi\) |
0.231557 | + | 0.972821i | \(0.425618\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −8.56231 | + | 14.8303i | −0.551547 | + | 0.955307i | 0.446617 | + | 0.894725i | \(0.352629\pi\) |
−0.998163 | + | 0.0605813i | \(0.980705\pi\) | |||||||
\(242\) | 3.16312 | + | 17.5150i | 0.203333 | + | 1.12591i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.572949 | + | 0.416272i | −0.0366793 | + | 0.0266491i | ||||
\(245\) | 0.747238 | + | 0.158830i | 0.0477393 | + | 0.0101473i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.556743 | − | 5.29706i | 0.0354247 | − | 0.337044i | ||||
\(248\) | −0.900830 | + | 8.57082i | −0.0572028 | + | 0.544248i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −5.95709 | − | 1.26622i | −0.376759 | − | 0.0800826i | ||||
\(251\) | −13.5902 | + | 9.87384i | −0.857804 | + | 0.623231i | −0.927287 | − | 0.374352i | \(-0.877865\pi\) |
0.0694827 | + | 0.997583i | \(0.477865\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −15.3713 | + | 9.64932i | −0.966387 | + | 0.606648i | ||||
\(254\) | −7.85410 | + | 13.6037i | −0.492810 | + | 0.853572i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 9.07495 | − | 10.0788i | 0.567185 | − | 0.629922i | ||||
\(257\) | 26.7291 | − | 5.68144i | 1.66732 | − | 0.354399i | 0.724903 | − | 0.688851i | \(-0.241885\pi\) |
0.942413 | + | 0.334453i | \(0.108551\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −11.6095 | + | 5.16889i | −0.721381 | + | 0.321179i | ||||
\(260\) | −0.454915 | + | 1.40008i | −0.0282126 | + | 0.0868296i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 18.1353 | − | 13.1760i | 1.12040 | − | 0.814018i | ||||
\(263\) | 0.336881 | − | 0.583495i | 0.0207730 | − | 0.0359798i | −0.855452 | − | 0.517882i | \(-0.826721\pi\) |
0.876225 | + | 0.481902i | \(0.160054\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.40983 | − | 2.44190i | −0.0866052 | − | 0.150005i | ||||
\(266\) | −3.78747 | − | 1.68629i | −0.232224 | − | 0.103393i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 4.36799 | + | 4.85115i | 0.266818 | + | 0.296331i | ||||
\(269\) | −19.7984 | − | 14.3844i | −1.20713 | − | 0.877030i | −0.212161 | − | 0.977235i | \(-0.568050\pi\) |
−0.994967 | + | 0.100205i | \(0.968050\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.93769 | − | 5.96361i | 0.117707 | − | 0.362263i | −0.874795 | − | 0.484493i | \(-0.839004\pi\) |
0.992502 | + | 0.122229i | \(0.0390043\pi\) | |||||||
\(272\) | −2.93444 | − | 0.623735i | −0.177927 | − | 0.0378195i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.19098 | + | 2.06284i | 0.0719499 | + | 0.124621i | ||||
\(275\) | −2.76281 | + | 15.8604i | −0.166604 | + | 0.956418i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.09104 | − | 10.3805i | −0.0655540 | − | 0.623705i | −0.977140 | − | 0.212596i | \(-0.931808\pi\) |
0.911586 | − | 0.411109i | \(-0.134858\pi\) | |||||||
\(278\) | 2.92705 | + | 9.00854i | 0.175553 | + | 0.540296i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −2.07295 | − | 1.50609i | −0.123882 | − | 0.0900058i | ||||
\(281\) | −4.78339 | + | 2.12970i | −0.285353 | + | 0.127047i | −0.544422 | − | 0.838812i | \(-0.683251\pi\) |
0.259069 | + | 0.965859i | \(0.416584\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −14.8415 | + | 16.4832i | −0.882238 | + | 0.979825i | −0.999913 | − | 0.0132274i | \(-0.995789\pi\) |
0.117674 | + | 0.993052i | \(0.462456\pi\) | |||||||
\(284\) | 8.22191 | + | 3.66063i | 0.487881 | + | 0.217218i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 32.1879 | + | 9.15775i | 1.90331 | + | 0.541509i | ||||
\(287\) | 17.8328 | 1.05264 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −5.13525 | − | 15.8047i | −0.302074 | − | 0.929688i | ||||
\(290\) | 1.84943 | + | 2.05400i | 0.108602 | + | 0.120615i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.0798526 | + | 0.759747i | −0.00467302 | + | 0.0444608i | ||||
\(293\) | −17.5521 | + | 3.73082i | −1.02541 | + | 0.217957i | −0.689766 | − | 0.724033i | \(-0.742286\pi\) |
−0.335642 | + | 0.941990i | \(0.608953\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.212657 | − | 2.02330i | −0.0123814 | − | 0.117801i | ||||
\(296\) | 9.47214 | 0.550557 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 24.2705 | 1.40595 | ||||||||
\(299\) | 3.56699 | + | 33.9377i | 0.206285 | + | 1.96267i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −5.17616 | + | 1.10023i | −0.298349 | + | 0.0634160i | ||||
\(302\) | −0.338261 | + | 3.21834i | −0.0194647 | + | 0.185195i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 2.77415 | + | 3.08100i | 0.159108 | + | 0.176708i | ||||
\(305\) | −0.135255 | − | 0.416272i | −0.00774467 | − | 0.0238357i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −19.5623 | −1.11648 | −0.558240 | − | 0.829680i | \(-0.688523\pi\) | ||||
−0.558240 | + | 0.829680i | \(0.688523\pi\) | |||||||
\(308\) | 3.42813 | − | 5.10515i | 0.195336 | − | 0.290893i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.17603 | + | 0.968833i | 0.123590 | + | 0.0550260i | ||||
\(311\) | 7.67636 | − | 8.52546i | 0.435286 | − | 0.483434i | −0.485092 | − | 0.874463i | \(-0.661214\pi\) |
0.920379 | + | 0.391029i | \(0.127881\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −25.4265 | + | 11.3206i | −1.43719 | + | 0.639880i | −0.969740 | − | 0.244138i | \(-0.921495\pi\) |
−0.467453 | + | 0.884018i | \(0.654828\pi\) | |||||||
\(314\) | −12.7082 | − | 9.23305i | −0.717165 | − | 0.521051i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.100813 | + | 0.310271i | 0.00567118 | + | 0.0174541i | ||||
\(317\) | −2.65091 | − | 25.2218i | −0.148890 | − | 1.41659i | −0.772577 | − | 0.634921i | \(-0.781033\pi\) |
0.623687 | − | 0.781674i | \(-0.285634\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 10.6482 | − | 10.3255i | 0.596185 | − | 0.578116i | ||||
\(320\) | 0.809017 | + | 1.40126i | 0.0452254 | + | 0.0783327i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 25.9819 | + | 5.52261i | 1.44791 | + | 0.307763i | ||||
\(323\) | 0.163119 | − | 0.502029i | 0.00907618 | − | 0.0279336i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 24.4894 | + | 17.7926i | 1.35843 | + | 0.986954i | ||||
\(326\) | −16.5330 | − | 18.3618i | −0.915679 | − | 1.01696i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −12.1427 | − | 5.40626i | −0.670466 | − | 0.298511i | ||||
\(329\) | 0.927051 | + | 1.60570i | 0.0511100 | + | 0.0885251i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 11.2984 | − | 19.5694i | 0.621015 | − | 1.07563i | −0.368282 | − | 0.929714i | \(-0.620054\pi\) |
0.989297 | − | 0.145915i | \(-0.0466127\pi\) | |||||||
\(332\) | 6.35410 | − | 4.61653i | 0.348727 | − | 0.253365i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −9.51722 | + | 29.2910i | −0.520759 | + | 1.60273i | ||||
\(335\) | −3.68565 | + | 1.64096i | −0.201368 | + | 0.0896550i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 13.4086 | − | 2.85010i | 0.730416 | − | 0.155255i | 0.172331 | − | 0.985039i | \(-0.444870\pi\) |
0.558084 | + | 0.829784i | \(0.311537\pi\) | |||||||
\(338\) | 28.0289 | − | 31.1293i | 1.52457 | − | 1.69321i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.0729490 | + | 0.126351i | −0.00395622 | + | 0.00685237i | ||||
\(341\) | 4.76393 | − | 11.8617i | 0.257981 | − | 0.642347i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 12.1353 | − | 8.81678i | 0.655242 | − | 0.476061i | ||||
\(344\) | 3.85808 | + | 0.820060i | 0.208014 | + | 0.0442147i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −2.97975 | + | 28.3504i | −0.160192 | + | 1.52413i | ||||
\(347\) | 0.319411 | − | 3.03899i | 0.0171469 | − | 0.163141i | −0.982598 | − | 0.185747i | \(-0.940530\pi\) |
0.999744 | + | 0.0226055i | \(0.00719618\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −29.4663 | − | 6.26326i | −1.57730 | − | 0.335265i | −0.665657 | − | 0.746258i | \(-0.731849\pi\) |
−0.911638 | + | 0.410993i | \(0.865182\pi\) | |||||||
\(350\) | 19.0623 | − | 13.8496i | 1.01892 | − | 0.740291i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −9.50000 | + | 5.96361i | −0.506352 | + | 0.317861i | ||||
\(353\) | 0.763932 | − | 1.32317i | 0.0406600 | − | 0.0704252i | −0.844979 | − | 0.534799i | \(-0.820387\pi\) |
0.885639 | + | 0.464374i | \(0.153721\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.72191 | + | 4.13360i | −0.197538 | + | 0.219389i | ||||
\(356\) | −5.72618 | + | 1.21714i | −0.303487 | + | 0.0645081i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 3.30524 | − | 1.47159i | 0.174687 | − | 0.0777758i | ||||
\(359\) | −5.32624 | + | 16.3925i | −0.281108 | + | 0.865162i | 0.706430 | + | 0.707783i | \(0.250304\pi\) |
−0.987538 | + | 0.157379i | \(0.949696\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 14.7812 | − | 10.7391i | 0.777955 | − | 0.565218i | ||||
\(362\) | 6.89919 | − | 11.9497i | 0.362613 | − | 0.628065i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −5.78115 | − | 10.0133i | −0.303015 | − | 0.524837i | ||||
\(365\) | −0.431318 | − | 0.192035i | −0.0225762 | − | 0.0100516i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −9.74408 | − | 10.8219i | −0.508637 | − | 0.564899i | 0.433058 | − | 0.901366i | \(-0.357435\pi\) |
−0.941695 | + | 0.336467i | \(0.890768\pi\) | |||||||
\(368\) | −21.4894 | − | 15.6129i | −1.12021 | − | 0.813880i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.809017 | − | 2.48990i | 0.0420588 | − | 0.129444i | ||||
\(371\) | 21.6620 | + | 4.60439i | 1.12463 | + | 0.239048i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −11.2082 | − | 19.4132i | −0.580339 | − | 1.00518i | −0.995439 | − | 0.0954006i | \(-0.969587\pi\) |
0.415100 | − | 0.909776i | \(-0.363747\pi\) | |||||||
\(374\) | 2.93162 | + | 1.55100i | 0.151590 | + | 0.0802004i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.144455 | − | 1.37440i | −0.00744969 | − | 0.0708790i | ||||
\(377\) | −8.61803 | − | 26.5236i | −0.443851 | − | 1.36603i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −22.9894 | − | 16.7027i | −1.18088 | − | 0.857962i | −0.188613 | − | 0.982052i | \(-0.560399\pi\) |
−0.992271 | + | 0.124089i | \(0.960399\pi\) | |||||||
\(380\) | 0.184195 | − | 0.0820087i | 0.00944899 | − | 0.00420696i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 1.59385 | − | 1.77015i | 0.0815483 | − | 0.0905685i | ||||
\(383\) | −8.12009 | − | 3.61530i | −0.414917 | − | 0.184733i | 0.188651 | − | 0.982044i | \(-0.439588\pi\) |
−0.603569 | + | 0.797311i | \(0.706255\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.34602 | + | 2.99000i | 0.119564 | + | 0.152385i | ||||
\(386\) | 2.52786 | 0.128665 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 2.87132 | + | 8.83702i | 0.145769 | + | 0.448632i | ||||
\(389\) | −6.20318 | − | 6.88933i | −0.314514 | − | 0.349303i | 0.565073 | − | 0.825041i | \(-0.308848\pi\) |
−0.879587 | + | 0.475738i | \(0.842181\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.353512 | + | 3.36344i | −0.0178779 | + | 0.170096i | ||||
\(392\) | 4.37441 | − | 0.929809i | 0.220941 | − | 0.0469625i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −4.50192 | − | 42.8329i | −0.226804 | − | 2.15789i | ||||
\(395\) | −0.201626 | −0.0101449 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −25.2918 | −1.26936 | −0.634679 | − | 0.772776i | \(-0.718868\pi\) | ||||
−0.634679 | + | 0.772776i | \(0.718868\pi\) | |||||||
\(398\) | 0.556743 | + | 5.29706i | 0.0279070 | + | 0.265518i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −23.0474 | + | 4.89888i | −1.15237 | + | 0.244944i | ||||
\(401\) | 1.55850 | − | 14.8282i | 0.0778279 | − | 0.740483i | −0.884122 | − | 0.467256i | \(-0.845243\pi\) |
0.961950 | − | 0.273226i | \(-0.0880908\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −16.0822 | − | 17.8611i | −0.801110 | − | 0.889723i | ||||
\(404\) | −0.572949 | − | 1.76336i | −0.0285053 | − | 0.0877302i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −21.7082 | −1.07736 | ||||||||
\(407\) | −13.5132 | − | 3.84462i | −0.669823 | − | 0.190571i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −26.4419 | − | 11.7727i | −1.30747 | − | 0.582122i | −0.369625 | − | 0.929181i | \(-0.620514\pi\) |
−0.937843 | + | 0.347059i | \(0.887180\pi\) | |||||||
\(410\) | −2.45823 | + | 2.73014i | −0.121403 | + | 0.134832i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −3.38761 | + | 1.50826i | −0.166896 | + | 0.0743068i | ||||
\(413\) | 12.9271 | + | 9.39205i | 0.636099 | + | 0.462153i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.50000 | + | 4.61653i | 0.0736321 | + | 0.226616i | ||||
\(416\) | 2.20452 | + | 20.9746i | 0.108086 | + | 1.02837i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −2.01777 | − | 4.11543i | −0.0986925 | − | 0.201292i | ||||
\(419\) | 10.7533 | + | 18.6252i | 0.525333 | + | 0.909903i | 0.999565 | + | 0.0295028i | \(0.00939240\pi\) |
−0.474232 | + | 0.880400i | \(0.657274\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.64799 | + | 0.775405i | 0.177792 | + | 0.0377909i | 0.295947 | − | 0.955204i | \(-0.404365\pi\) |
−0.118155 | + | 0.992995i | \(0.537698\pi\) | |||||||
\(422\) | 5.63525 | − | 17.3435i | 0.274320 | − | 0.844270i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −13.3541 | − | 9.70232i | −0.648533 | − | 0.471186i | ||||
\(425\) | 2.00739 | + | 2.22943i | 0.0973728 | + | 0.108143i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3.14049 | + | 1.39824i | 0.151979 | + | 0.0676654i | ||||
\(428\) | −0.0729490 | − | 0.126351i | −0.00352612 | − | 0.00610743i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.545085 | − | 0.944115i | 0.0262863 | − | 0.0455293i | ||||
\(431\) | 1.20820 | − | 0.877812i | 0.0581971 | − | 0.0422827i | −0.558306 | − | 0.829635i | \(-0.688549\pi\) |
0.616503 | + | 0.787352i | \(0.288549\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −1.85410 | + | 5.70634i | −0.0891025 | + | 0.274229i | −0.985672 | − | 0.168674i | \(-0.946051\pi\) |
0.896569 | + | 0.442903i | \(0.146051\pi\) | |||||||
\(434\) | −17.0908 | + | 7.60931i | −0.820384 | + | 0.365259i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 3.12736 | − | 3.47328i | 0.149602 | − | 0.166150i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −8.35410 | + | 14.4697i | −0.398720 | + | 0.690602i | −0.993568 | − | 0.113235i | \(-0.963879\pi\) |
0.594849 | + | 0.803838i | \(0.297212\pi\) | |||||||
\(440\) | −0.690983 | − | 2.74717i | −0.0329413 | − | 0.130966i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 5.04508 | − | 3.66547i | 0.239970 | − | 0.174349i | ||||
\(443\) | 0.856259 | + | 0.182003i | 0.0406821 | + | 0.00864724i | 0.228208 | − | 0.973612i | \(-0.426713\pi\) |
−0.187526 | + | 0.982260i | \(0.560047\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.378188 | − | 3.59821i | 0.0179278 | − | 0.170572i | ||||
\(446\) | 2.14935 | − | 20.4497i | 0.101774 | − | 0.968320i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −12.4305 | − | 2.64218i | −0.587286 | − | 0.124831i | ||||
\(449\) | 12.5623 | − | 9.12705i | 0.592852 | − | 0.430732i | −0.250483 | − | 0.968121i | \(-0.580589\pi\) |
0.843334 | + | 0.537389i | \(0.180589\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 15.1287 | + | 12.6412i | 0.712382 | + | 0.595253i | ||||
\(452\) | 3.92705 | − | 6.80185i | 0.184713 | − | 0.319932i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 11.7888 | − | 13.0928i | 0.553274 | − | 0.614473i | ||||
\(455\) | 6.98974 | − | 1.48572i | 0.327684 | − | 0.0696514i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 29.9628 | − | 13.3403i | 1.40160 | − | 0.624033i | 0.439878 | − | 0.898057i | \(-0.355022\pi\) |
0.961723 | + | 0.274025i | \(0.0883549\pi\) | |||||||
\(458\) | 5.00000 | − | 15.3884i | 0.233635 | − | 0.719054i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −1.04508 | + | 0.759299i | −0.0487273 | + | 0.0354025i | ||||
\(461\) | 4.95492 | − | 8.58216i | 0.230773 | − | 0.399711i | −0.727263 | − | 0.686359i | \(-0.759208\pi\) |
0.958036 | + | 0.286648i | \(0.0925411\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.39919 | − | 7.61962i | −0.204448 | − | 0.354114i | 0.745509 | − | 0.666496i | \(-0.232206\pi\) |
−0.949957 | + | 0.312382i | \(0.898873\pi\) | |||||||
\(464\) | 19.8314 | + | 8.82952i | 0.920651 | + | 0.409900i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 9.39087 | + | 10.4296i | 0.435024 | + | 0.483143i | ||||
\(467\) | 11.5172 | + | 8.36775i | 0.532953 | + | 0.387213i | 0.821461 | − | 0.570264i | \(-0.193159\pi\) |
−0.288508 | + | 0.957478i | \(0.593159\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 9.79180 | − | 30.1360i | 0.452143 | − | 1.39155i | ||||
\(470\) | −0.373619 | − | 0.0794152i | −0.0172338 | − | 0.00366315i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −5.95492 | − | 10.3142i | −0.274097 | − | 0.474750i | ||||
\(473\) | −5.17118 | − | 2.73586i | −0.237771 | − | 0.125795i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.433364 | − | 4.12319i | −0.0198841 | − | 0.189185i | ||||
\(476\) | −0.354102 | − | 1.08981i | −0.0162302 | − | 0.0499515i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 22.9894 | + | 16.7027i | 1.05151 | + | 0.763966i | ||||
\(479\) | −15.4479 | + | 6.87785i | −0.705832 | + | 0.314257i | −0.728077 | − | 0.685496i | \(-0.759586\pi\) |
0.0222442 | + | 0.999753i | \(0.492919\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −17.6760 | + | 19.6312i | −0.805957 | + | 0.895106i | ||||
\(482\) | 25.3127 | + | 11.2699i | 1.15296 | + | 0.513332i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 6.52721 | − | 1.90090i | 0.296691 | − | 0.0864044i | ||||
\(485\) | −5.74265 | −0.260760 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 12.1074 | + | 37.2627i | 0.548638 | + | 1.68853i | 0.712179 | + | 0.701998i | \(0.247709\pi\) |
−0.163540 | + | 0.986537i | \(0.552291\pi\) | |||||||
\(488\) | −1.71452 | − | 1.90416i | −0.0776126 | − | 0.0861975i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.129204 | − | 1.22930i | 0.00583685 | − | 0.0555340i | ||||
\(491\) | 25.6419 | − | 5.45036i | 1.15720 | − | 0.245971i | 0.410966 | − | 0.911651i | \(-0.365191\pi\) |
0.746238 | + | 0.665679i | \(0.231858\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.288910 | − | 2.74879i | −0.0130118 | − | 0.123799i | ||||
\(494\) | −8.61803 | −0.387744 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 18.7082 | 0.840023 | ||||||||
\(497\) | −4.56653 | − | 43.4476i | −0.204837 | − | 1.94889i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −2.50631 | + | 0.532733i | −0.112198 | + | 0.0238484i | −0.263668 | − | 0.964613i | \(-0.584932\pi\) |
0.151470 | + | 0.988462i | \(0.451599\pi\) | |||||||
\(500\) | −0.243158 | + | 2.31349i | −0.0108744 | + | 0.103463i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 18.1872 | + | 20.1989i | 0.811734 | + | 0.901522i | ||||
\(503\) | −9.29180 | − | 28.5972i | −0.414301 | − | 1.27509i | −0.912875 | − | 0.408239i | \(-0.866143\pi\) |
0.498574 | − | 0.866847i | \(-0.333857\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.14590 | 0.0509918 | ||||||||
\(506\) | 18.1272 | + | 23.1031i | 0.805851 | + | 1.02706i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 5.48127 | + | 2.44042i | 0.243192 | + | 0.108276i | ||||
\(509\) | 14.3073 | − | 15.8899i | 0.634161 | − | 0.704307i | −0.337329 | − | 0.941387i | \(-0.609524\pi\) |
0.971490 | + | 0.237079i | \(0.0761902\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.38761 | − | 1.50826i | 0.149859 | − | 0.0667216i | ||||
\(512\) | 4.28115 | + | 3.11044i | 0.189202 | + | 0.137463i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −13.6631 | − | 42.0508i | −0.602654 | − | 1.85478i | ||||
\(515\) | −0.239558 | − | 2.27924i | −0.0105562 | − | 0.100435i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.351767 | + | 2.01938i | −0.0154707 | + | 0.0888121i | ||||
\(518\) | 10.2812 | + | 17.8075i | 0.451728 | + | 0.782416i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −5.20985 | − | 1.10739i | −0.228467 | − | 0.0485621i | ||||
\(521\) | 12.0000 | − | 36.9322i | 0.525730 | − | 1.61803i | −0.237139 | − | 0.971476i | \(-0.576210\pi\) |
0.762869 | − | 0.646553i | \(-0.223790\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −28.2984 | − | 20.5600i | −1.23740 | − | 0.899025i | −0.239979 | − | 0.970778i | \(-0.577141\pi\) |
−0.997422 | + | 0.0717533i | \(0.977141\pi\) | |||||||
\(524\) | −5.72930 | − | 6.36303i | −0.250286 | − | 0.277970i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −0.995920 | − | 0.443412i | −0.0434242 | − | 0.0193337i | ||||
\(527\) | −1.19098 | − | 2.06284i | −0.0518800 | − | 0.0898589i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.47214 | + | 6.01392i | −0.150962 | + | 0.261475i | ||||
\(530\) | −3.69098 | + | 2.68166i | −0.160326 | + | 0.116484i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.489357 | + | 1.50609i | −0.0212163 | + | 0.0652971i | ||||
\(533\) | 33.8641 | − | 15.0773i | 1.46682 | − | 0.653069i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.0881995 | − | 0.0187474i | 0.00381320 | − | 0.000810520i | ||||
\(536\) | −15.8035 | + | 17.5516i | −0.682609 | + | 0.758115i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −19.7984 | + | 34.2918i | −0.853569 | + | 1.47842i | ||||
\(539\) | −6.61803 | − | 0.449028i | −0.285059 | − | 0.0193410i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 0.454915 | − | 0.330515i | 0.0195583 | − | 0.0142100i | −0.577963 | − | 0.816063i | \(-0.696152\pi\) |
0.597521 | + | 0.801853i | \(0.296152\pi\) | |||||||
\(542\) | −9.92419 | − | 2.10945i | −0.426280 | − | 0.0906087i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −0.218482 | + | 2.07872i | −0.00936735 | + | 0.0891244i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −18.9584 | − | 4.02974i | −0.810604 | − | 0.172299i | −0.216078 | − | 0.976376i | \(-0.569327\pi\) |
−0.594525 | + | 0.804077i | \(0.702660\pi\) | |||||||
\(548\) | 0.736068 | − | 0.534785i | 0.0314433 | − | 0.0228449i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 25.9894 | + | 1.76336i | 1.10819 | + | 0.0751897i | ||||
\(551\) | −1.90983 | + | 3.30792i | −0.0813615 | + | 0.140922i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.05963 | − | 1.17684i | 0.0450600 | − | 0.0500443i | ||||
\(554\) | −16.5195 | + | 3.51133i | −0.701846 | + | 0.149182i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 3.30524 | − | 1.47159i | 0.140173 | − | 0.0624092i | ||||
\(557\) | 8.06231 | − | 24.8132i | 0.341611 | − | 1.05137i | −0.621762 | − | 0.783206i | \(-0.713583\pi\) |
0.963373 | − | 0.268164i | \(-0.0864170\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −8.89919 | + | 6.46564i | −0.376396 | + | 0.273467i | ||||
\(560\) | −2.78115 | + | 4.81710i | −0.117525 | + | 0.203560i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 4.23607 | + | 7.33708i | 0.178688 | + | 0.309496i | ||||
\(563\) | 24.5639 | + | 10.9366i | 1.03525 | + | 0.460921i | 0.852768 | − | 0.522289i | \(-0.174922\pi\) |
0.182477 | + | 0.983210i | \(0.441589\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 3.24803 | + | 3.60730i | 0.136646 | + | 0.151760i | ||||
\(566\) | 29.0344 | + | 21.0948i | 1.22041 | + | 0.886679i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −10.0623 | + | 30.9686i | −0.422205 | + | 1.29941i | ||||
\(569\) | −33.3244 | − | 7.08332i | −1.39703 | − | 0.296948i | −0.552973 | − | 0.833199i | \(-0.686507\pi\) |
−0.844059 | + | 0.536251i | \(0.819840\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 12.8435 | + | 22.2455i | 0.537482 | + | 0.930946i | 0.999039 | + | 0.0438355i | \(0.0139577\pi\) |
−0.461557 | + | 0.887111i | \(0.652709\pi\) | |||||||
\(572\) | 2.19364 | − | 12.5930i | 0.0917208 | − | 0.526539i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −3.01607 | − | 28.6960i | −0.125889 | − | 1.19775i | ||||
\(575\) | 8.20820 | + | 25.2623i | 0.342306 | + | 1.05351i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −12.3262 | − | 8.95554i | −0.513148 | − | 0.372824i | 0.300868 | − | 0.953666i | \(-0.402723\pi\) |
−0.814016 | + | 0.580842i | \(0.802723\pi\) | |||||||
\(578\) | −24.5639 | + | 10.9366i | −1.02172 | + | 0.454901i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.706420 | − | 0.784559i | 0.0293325 | − | 0.0325770i | ||||
\(581\) | −34.8286 | − | 15.5067i | −1.44493 | − | 0.643325i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 15.1132 | + | 19.2618i | 0.625926 | + | 0.797743i | ||||
\(584\) | −2.76393 | −0.114372 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 8.97214 | + | 27.6134i | 0.370636 | + | 1.14070i | ||||
\(587\) | 16.2632 | + | 18.0621i | 0.671254 | + | 0.745503i | 0.978527 | − | 0.206119i | \(-0.0660833\pi\) |
−0.307273 | + | 0.951621i | \(0.599417\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.344086 | + | 3.27376i | −0.0141778 | + | 0.134893i | ||||
\(590\) | −3.21986 | + | 0.684403i | −0.132560 | + | 0.0281764i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −2.14935 | − | 20.4497i | −0.0883376 | − | 0.840476i | ||||
\(593\) | −29.2148 | −1.19971 | −0.599854 | − | 0.800110i | \(-0.704775\pi\) | ||||
−0.599854 | + | 0.800110i | \(0.704775\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.708204 | 0.0290335 | ||||||||
\(596\) | −0.969032 | − | 9.21973i | −0.0396931 | − | 0.377655i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 54.0082 | − | 11.4798i | 2.20856 | − | 0.469444i | ||||
\(599\) | 2.26913 | − | 21.5893i | 0.0927139 | − | 0.882114i | −0.845014 | − | 0.534744i | \(-0.820408\pi\) |
0.937728 | − | 0.347370i | \(-0.112925\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −13.2707 | − | 14.7387i | −0.541325 | − | 0.601202i | 0.408972 | − | 0.912547i | \(-0.365887\pi\) |
−0.950297 | + | 0.311345i | \(0.899221\pi\) | |||||||
\(602\) | 2.64590 | + | 8.14324i | 0.107839 | + | 0.331894i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 1.23607 | 0.0502949 | ||||||||
\(605\) | −0.129267 | + | 4.19964i | −0.00525547 | + | 0.170740i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2.12512 | − | 0.946166i | −0.0862561 | − | 0.0384037i | 0.363155 | − | 0.931729i | \(-0.381700\pi\) |
−0.449411 | + | 0.893325i | \(0.648366\pi\) | |||||||
\(608\) | 1.93281 | − | 2.14661i | 0.0783859 | − | 0.0870564i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.646976 | + | 0.288052i | −0.0261953 | + | 0.0116629i | ||||
\(611\) | 3.11803 | + | 2.26538i | 0.126142 | + | 0.0916476i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 1.03444 | + | 3.18368i | 0.0417807 | + | 0.128588i | 0.969771 | − | 0.244016i | \(-0.0784650\pi\) |
−0.927990 | + | 0.372604i | \(0.878465\pi\) | |||||||
\(614\) | 3.30858 | + | 31.4791i | 0.133524 | + | 1.27039i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 19.6659 | + | 10.4044i | 0.792362 | + | 0.419207i | ||||
\(617\) | −23.2082 | − | 40.1978i | −0.934327 | − | 1.61830i | −0.775829 | − | 0.630943i | \(-0.782668\pi\) |
−0.158498 | − | 0.987359i | \(-0.550665\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 30.4990 | + | 6.48276i | 1.22586 | + | 0.260564i | 0.774959 | − | 0.632011i | \(-0.217770\pi\) |
0.450898 | + | 0.892575i | \(0.351104\pi\) | |||||||
\(620\) | 0.281153 | − | 0.865300i | 0.0112914 | − | 0.0347513i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −15.0172 | − | 10.9106i | −0.602136 | − | 0.437477i | ||||
\(623\) | 19.0143 | + | 21.1175i | 0.761791 | + | 0.846055i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 20.8588 | + | 9.28694i | 0.834353 | + | 0.371478i | ||||
\(626\) | 22.5172 | + | 39.0010i | 0.899969 | + | 1.55879i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −3.00000 | + | 5.19615i | −0.119713 | + | 0.207349i | ||||
\(629\) | −2.11803 | + | 1.53884i | −0.0844515 | + | 0.0613576i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3.93363 | − | 12.1065i | 0.156595 | − | 0.481951i | −0.841724 | − | 0.539908i | \(-0.818459\pi\) |
0.998319 | + | 0.0579577i | \(0.0184589\pi\) | |||||||
\(632\) | −1.07829 | + | 0.480087i | −0.0428922 | + | 0.0190969i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −40.1377 | + | 8.53154i | −1.59407 | + | 0.338831i | ||||
\(635\) | −2.48127 | + | 2.75573i | −0.0984663 | + | 0.109358i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −6.23607 | + | 10.8012i | −0.247082 | + | 0.427959i | ||||
\(638\) | −18.4164 | − | 15.3884i | −0.729113 | − | 0.609233i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 4.20820 | − | 3.05744i | 0.166344 | − | 0.120856i | ||||
\(641\) | 6.59530 | + | 1.40187i | 0.260499 | + | 0.0553707i | 0.336310 | − | 0.941751i | \(-0.390821\pi\) |
−0.0758108 | + | 0.997122i | \(0.524154\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 1.92726 | − | 18.3367i | 0.0760039 | − | 0.723128i | −0.888467 | − | 0.458940i | \(-0.848229\pi\) |
0.964471 | − | 0.264188i | \(-0.0851041\pi\) | |||||||
\(644\) | 1.06054 | − | 10.0903i | 0.0417909 | − | 0.397614i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.835438 | − | 0.177578i | −0.0328699 | − | 0.00698670i | ||||
\(647\) | −2.59017 | + | 1.88187i | −0.101830 | + | 0.0739839i | −0.637535 | − | 0.770421i | \(-0.720046\pi\) |
0.535705 | + | 0.844405i | \(0.320046\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 4.30902 | + | 17.1315i | 0.169144 | + | 0.672471i | ||||
\(650\) | 24.4894 | − | 42.4168i | 0.960552 | − | 1.66372i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −6.31505 | + | 7.01357i | −0.247316 | + | 0.274673i | ||||
\(653\) | −21.4856 | + | 4.56690i | −0.840795 | + | 0.178716i | −0.608127 | − | 0.793840i | \(-0.708079\pi\) |
−0.232668 | + | 0.972556i | \(0.574746\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 4.83430 | − | 2.15237i | 0.188892 | − | 0.0841000i | ||||
\(656\) | −8.91641 | + | 27.4419i | −0.348127 | + | 1.07143i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 2.42705 | − | 1.76336i | 0.0946163 | − | 0.0687428i | ||||
\(659\) | −10.3262 | + | 17.8856i | −0.402253 | + | 0.696723i | −0.993997 | − | 0.109403i | \(-0.965106\pi\) |
0.591744 | + | 0.806126i | \(0.298439\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 10.5451 | + | 18.2646i | 0.410156 | + | 0.710411i | 0.994907 | − | 0.100802i | \(-0.0321408\pi\) |
−0.584750 | + | 0.811213i | \(0.698807\pi\) | |||||||
\(662\) | −33.4013 | − | 14.8712i | −1.29818 | − | 0.577987i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 19.0143 | + | 21.1175i | 0.737897 | + | 0.819518i | ||||
\(665\) | −0.791796 | − | 0.575274i | −0.0307045 | − | 0.0223082i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 7.56231 | − | 23.2744i | 0.292814 | − | 0.901188i | ||||
\(668\) | 11.5069 | + | 2.44586i | 0.445214 | + | 0.0946331i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 3.26393 | + | 5.65330i | 0.126097 | + | 0.218406i | ||||
\(671\) | 1.67310 | + | 3.41243i | 0.0645891 | + | 0.131735i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1.50692 | + | 14.3374i | 0.0580877 | + | 0.552667i | 0.984404 | + | 0.175921i | \(0.0562904\pi\) |
−0.926317 | + | 0.376746i | \(0.877043\pi\) | |||||||
\(674\) | −6.85410 | − | 21.0948i | −0.264010 | − | 0.812540i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −12.9443 | − | 9.40456i | −0.497857 | − | 0.361714i | ||||
\(677\) | 20.5293 | − | 9.14024i | 0.789006 | − | 0.351288i | 0.0276461 | − | 0.999618i | \(-0.491199\pi\) |
0.761360 | + | 0.648330i | \(0.224532\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 30.1800 | − | 33.5183i | 1.15820 | − | 1.28631i | ||||
\(680\) | −0.482228 | − | 0.214702i | −0.0184926 | − | 0.00823343i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −19.8932 | − | 5.65980i | −0.761751 | − | 0.216725i | ||||
\(683\) | −38.8885 | −1.48803 | −0.744014 | − | 0.668164i | \(-0.767081\pi\) | ||||
−0.744014 | + | 0.668164i | \(0.767081\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.173762 | + | 0.534785i | 0.00663911 | + | 0.0204331i | ||||
\(686\) | −16.2401 | − | 18.0365i | −0.620051 | − | 0.688637i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.895005 | − | 8.51540i | 0.0341217 | − | 0.324647i | ||||
\(689\) | 45.0285 | − | 9.57110i | 1.71545 | − | 0.364630i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 4.15064 | + | 39.4907i | 0.157898 | + | 1.50230i | 0.730754 | + | 0.682641i | \(0.239169\pi\) |
−0.572857 | + | 0.819656i | \(0.694165\pi\) | |||||||
\(692\) | 10.8885 | 0.413920 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −4.94427 | −0.187682 | ||||||||
\(695\) | 0.233733 | + | 2.22382i | 0.00886599 | + | 0.0843542i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 3.59348 | − | 0.763818i | 0.136113 | − | 0.0289317i | ||||
\(698\) | −5.09499 | + | 48.4756i | −0.192848 | + | 1.83483i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −6.02218 | − | 6.68830i | −0.227617 | − | 0.252794i | ||||
\(701\) | 15.3541 | + | 47.2551i | 0.579916 | + | 1.78480i | 0.618792 | + | 0.785555i | \(0.287623\pi\) |
−0.0388752 | + | 0.999244i | \(0.512377\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 3.61803 | 0.136457 | ||||||||
\(704\) | −8.67258 | − | 11.0532i | −0.326860 | − | 0.416583i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −2.25841 | − | 1.00551i | −0.0849963 | − | 0.0378428i | ||||
\(707\) | −6.02218 | + | 6.68830i | −0.226487 | + | 0.251540i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 5.71638 | − | 2.54510i | 0.214683 | − | 0.0955831i | −0.296578 | − | 0.955009i | \(-0.595845\pi\) |
0.511261 | + | 0.859426i | \(0.329179\pi\) | |||||||
\(710\) | 7.28115 | + | 5.29007i | 0.273257 | + | 0.198533i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −6.54508 | − | 20.1437i | −0.245287 | − | 0.754917i | ||||
\(713\) | −2.20452 | − | 20.9746i | −0.0825600 | − | 0.785506i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.98302 | + | 3.69443i | 0.261150 | + | 0.138164i | ||||
\(716\) | −0.690983 | − | 1.19682i | −0.0258232 | − | 0.0447272i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 27.2791 | + | 5.79835i | 1.01805 | + | 0.216393i | ||||
\(719\) | −8.78115 | + | 27.0256i | −0.327482 | + | 1.00789i | 0.642826 | + | 0.766012i | \(0.277762\pi\) |
−0.970308 | + | 0.241873i | \(0.922238\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 14.5623 | + | 10.5801i | 0.542329 | + | 0.394025i | ||||
\(722\) | −19.7810 | − | 21.9691i | −0.736174 | − | 0.817604i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −4.81485 | − | 2.14371i | −0.178943 | − | 0.0796703i | ||||
\(725\) | −10.8541 | − | 18.7999i | −0.403111 | − | 0.698209i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −16.0729 | + | 27.8392i | −0.596113 | + | 1.03250i | 0.397276 | + | 0.917699i | \(0.369956\pi\) |
−0.993389 | + | 0.114798i | \(0.963378\pi\) | |||||||
\(728\) | 33.8435 | − | 24.5887i | 1.25432 | − | 0.911318i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.236068 | + | 0.726543i | −0.00873727 | + | 0.0268905i | ||||
\(731\) | −0.995920 | + | 0.443412i | −0.0368354 | + | 0.0164002i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 23.7610 | − | 5.05055i | 0.877631 | − | 0.186546i | 0.253000 | − | 0.967466i | \(-0.418583\pi\) |
0.624631 | + | 0.780920i | \(0.285249\pi\) | |||||||
\(734\) | −15.7663 | + | 17.5102i | −0.581943 | + | 0.646313i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −9.25329 | + | 16.0272i | −0.341081 | + | 0.590769i | ||||
\(737\) | 29.6697 | − | 18.6251i | 1.09290 | − | 0.686064i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 20.2254 | − | 14.6946i | 0.744004 | − | 0.540551i | −0.149958 | − | 0.988692i | \(-0.547914\pi\) |
0.893963 | + | 0.448142i | \(0.147914\pi\) | |||||||
\(740\) | −0.978148 | − | 0.207912i | −0.0359574 | − | 0.00764299i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 3.74555 | − | 35.6365i | 0.137503 | − | 1.30826i | ||||
\(743\) | −1.34002 | + | 12.7494i | −0.0491605 | + | 0.467731i | 0.942053 | + | 0.335463i | \(0.108893\pi\) |
−0.991214 | + | 0.132268i | \(0.957774\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 5.60429 | + | 1.19123i | 0.205325 | + | 0.0436432i | ||||
\(746\) | −29.3435 | + | 21.3193i | −1.07434 | + | 0.780554i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.472136 | − | 1.17557i | 0.0172630 | − | 0.0429831i | ||||
\(749\) | −0.354102 | + | 0.613323i | −0.0129386 | + | 0.0224103i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −35.4124 | + | 39.3294i | −1.29222 | + | 1.43515i | −0.452849 | + | 0.891587i | \(0.649592\pi\) |
−0.839367 | + | 0.543565i | \(0.817074\pi\) | |||||||
\(752\) | −2.93444 | + | 0.623735i | −0.107008 | + | 0.0227453i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −41.2234 | + | 18.3538i | −1.50127 | + | 0.668407i | ||||
\(755\) | −0.236068 | + | 0.726543i | −0.00859139 | + | 0.0264416i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 12.8992 | − | 9.37181i | 0.468829 | − | 0.340624i | −0.328156 | − | 0.944624i | \(-0.606427\pi\) |
0.796985 | + | 0.603999i | \(0.206427\pi\) | |||||||
\(758\) | −22.9894 | + | 39.8187i | −0.835011 | + | 1.44628i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.364745 | + | 0.631757i | 0.0132307 | + | 0.0229162i | ||||
\(761\) | 4.46591 | + | 1.98835i | 0.161889 | + | 0.0720776i | 0.486081 | − | 0.873914i | \(-0.338426\pi\) |
−0.324192 | + | 0.945991i | \(0.605093\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −0.736068 | − | 0.534785i | −0.0266300 | − | 0.0193478i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −4.44427 | + | 13.6781i | −0.160578 | + | 0.494208i | ||||
\(767\) | 32.4890 | + | 6.90574i | 1.17311 | + | 0.249352i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 23.8435 | + | 41.2981i | 0.859817 | + | 1.48925i | 0.872103 | + | 0.489322i | \(0.162756\pi\) |
−0.0122858 | + | 0.999925i | \(0.503911\pi\) | |||||||
\(770\) | 4.41464 | − | 4.28084i | 0.159092 | − | 0.154271i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −0.100928 | − | 0.960269i | −0.00363249 | − | 0.0345608i | ||||
\(773\) | 15.2188 | + | 46.8388i | 0.547384 | + | 1.68467i | 0.715253 | + | 0.698865i | \(0.246311\pi\) |
−0.167870 | + | 0.985809i | \(0.553689\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −15.1353 | − | 10.9964i | −0.543674 | − | 0.395003i | ||||
\(776\) | −30.7116 | + | 13.6737i | −1.10248 | + | 0.490857i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −10.0370 | + | 11.1472i | −0.359842 | + | 0.399645i | ||||
\(779\) | −4.63808 | − | 2.06501i | −0.166177 | − | 0.0739866i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 26.9249 | − | 40.0964i | 0.963448 | − | 1.43476i | ||||
\(782\) | 5.47214 | 0.195683 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −3.00000 | − | 9.23305i | −0.107143 | − | 0.329752i | ||||
\(785\) | −2.48127 | − | 2.75573i | −0.0885604 | − | 0.0983563i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 2.47818 | − | 23.5783i | 0.0883377 | − | 0.840477i | −0.857204 | − | 0.514976i | \(-0.827801\pi\) |
0.945542 | − | 0.325500i | \(-0.105533\pi\) | |||||||
\(788\) | −16.0914 | + | 3.42032i | −0.573231 | + | 0.121844i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.0341011 | + | 0.324451i | 0.00121326 | + | 0.0115434i | ||||
\(791\) | −38.1246 | −1.35556 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 7.14590 | 0.253758 | ||||||||
\(794\) | 4.27762 | + | 40.6988i | 0.151807 | + | 1.44435i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 1.98998 | − | 0.422984i | 0.0705331 | − | 0.0149923i | ||||
\(797\) | −1.59260 | + | 15.1526i | −0.0564129 | + | 0.536733i | 0.929423 | + | 0.369017i | \(0.120306\pi\) |
−0.985835 | + | 0.167716i | \(0.946361\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.255585 | + | 0.283856i | 0.00904195 | + | 0.0100421i | ||||
\(800\) | 5.07295 | + | 15.6129i | 0.179356 | + | 0.552000i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −24.1246 | −0.851870 | ||||||||
\(803\) | 3.94309 | + | 1.12184i | 0.139149 | + | 0.0395890i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 5.72840 | + | 2.55045i | 0.201899 | + | 0.0898914i | ||||
\(806\) | −26.0215 | + | 28.8998i | −0.916569 | + | 1.01795i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 6.12825 | − | 2.72847i | 0.215591 | − | 0.0959873i | ||||
\(809\) | −20.4894 | − | 14.8864i | −0.720367 | − | 0.523378i | 0.166134 | − | 0.986103i | \(-0.446872\pi\) |
−0.886502 | + | 0.462726i | \(0.846872\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 14.1353 | + | 43.5038i | 0.496356 | + | 1.52763i | 0.814833 | + | 0.579696i | \(0.196829\pi\) |
−0.318477 | + | 0.947931i | \(0.603171\pi\) | |||||||
\(812\) | 0.866729 | + | 8.24637i | 0.0304162 | + | 0.289391i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −3.90115 | + | 22.3952i | −0.136735 | + | 0.784953i | ||||
\(815\) | −2.91641 | − | 5.05137i | −0.102157 | − | 0.176942i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.47366 | + | 0.313235i | 0.0515567 | + | 0.0109587i | ||||
\(818\) | −14.4721 | + | 44.5407i | −0.506006 | + | 1.55733i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 1.13525 | + | 0.824811i | 0.0396448 | + | 0.0288036i | ||||
\(821\) | 9.08920 | + | 10.0946i | 0.317215 | + | 0.352303i | 0.880574 | − | 0.473910i | \(-0.157158\pi\) |
−0.563358 | + | 0.826213i | \(0.690491\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −24.2344 | − | 10.7899i | −0.844758 | − | 0.376111i | −0.0617272 | − | 0.998093i | \(-0.519661\pi\) |
−0.783031 | + | 0.621982i | \(0.786328\pi\) | |||||||
\(824\) | −6.70820 | − | 11.6190i | −0.233691 | − | 0.404765i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 12.9271 | − | 22.3903i | 0.449790 | − | 0.779058i | ||||
\(827\) | −10.4164 | + | 7.56796i | −0.362214 | + | 0.263164i | −0.753975 | − | 0.656903i | \(-0.771866\pi\) |
0.391761 | + | 0.920067i | \(0.371866\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −13.1910 | + | 40.5977i | −0.458142 | + | 1.41002i | 0.409265 | + | 0.912416i | \(0.365785\pi\) |
−0.867407 | + | 0.497600i | \(0.834215\pi\) | |||||||
\(830\) | 7.17508 | − | 3.19455i | 0.249051 | − | 0.110884i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −25.8391 | + | 5.49228i | −0.895811 | + | 0.190411i | ||||
\(833\) | −0.827091 | + | 0.918578i | −0.0286570 | + | 0.0318268i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −3.63525 | + | 6.29645i | −0.125803 | + | 0.217898i | ||||
\(836\) | −1.48278 | + | 0.930812i | −0.0512830 | + | 0.0321928i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 28.1525 | − | 20.4540i | 0.972511 | − | 0.706571i | ||||
\(839\) | 22.7828 | + | 4.84264i | 0.786550 | + | 0.167186i | 0.583642 | − | 0.812011i | \(-0.301627\pi\) |
0.202908 | + | 0.979198i | \(0.434961\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 0.940756 | − | 8.95070i | 0.0324399 | − | 0.308645i | ||||
\(842\) | 0.630771 | − | 6.00138i | 0.0217378 | − | 0.206821i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −6.81334 | − | 1.44822i | −0.234525 | − | 0.0498498i | ||||
\(845\) | 8.00000 | − | 5.81234i | 0.275208 | − | 0.199951i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −23.8328 | − | 22.8254i | −0.818905 | − | 0.784289i | ||||
\(848\) | −17.9164 | + | 31.0321i | −0.615252 | + | 1.06565i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 3.24803 | − | 3.60730i | 0.111406 | − | 0.123729i | ||||
\(851\) | −22.6738 | + | 4.81946i | −0.777248 | + | 0.165209i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 7.25745 | − | 3.23123i | 0.248490 | − | 0.110635i | −0.278712 | − | 0.960375i | \(-0.589908\pi\) |
0.527203 | + | 0.849740i | \(0.323241\pi\) | |||||||
\(854\) | 1.71885 | − | 5.29007i | 0.0588177 | − | 0.181022i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0.427051 | − | 0.310271i | 0.0145963 | − | 0.0106048i | ||||
\(857\) | 20.8607 | − | 36.1318i | 0.712587 | − | 1.23424i | −0.251296 | − | 0.967910i | \(-0.580857\pi\) |
0.963883 | − | 0.266327i | \(-0.0858101\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −21.4443 | − | 37.1426i | −0.731669 | − | 1.26729i | −0.956169 | − | 0.292814i | \(-0.905408\pi\) |
0.224500 | − | 0.974474i | \(-0.427925\pi\) | |||||||
\(860\) | −0.380408 | − | 0.169368i | −0.0129718 | − | 0.00577541i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −1.61689 | − | 1.79574i | −0.0550716 | − | 0.0611632i | ||||
\(863\) | 19.3262 | + | 14.0413i | 0.657873 | + | 0.477973i | 0.865944 | − | 0.500141i | \(-0.166719\pi\) |
−0.208071 | + | 0.978114i | \(0.566719\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −2.07953 | + | 6.40013i | −0.0707060 | + | 0.217611i | ||||
\(866\) | 9.49606 | + | 2.01845i | 0.322689 | + | 0.0685897i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 3.57295 | + | 6.18853i | 0.121274 | + | 0.210052i | ||||
\(869\) | 1.73318 | − | 0.247239i | 0.0587942 | − | 0.00838699i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −6.88500 | − | 65.5064i | −0.233289 | − | 2.21960i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −6.11803 | − | 4.44501i | −0.206946 | − | 0.150355i | ||||
\(875\) | 10.3156 | − | 4.59279i | 0.348730 | − | 0.155265i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −13.6612 | + | 15.1723i | −0.461307 | + | 0.512334i | −0.928252 | − | 0.371953i | \(-0.878688\pi\) |
0.466944 | + | 0.884287i | \(0.345355\pi\) | |||||||
\(878\) | 24.6972 | + | 10.9959i | 0.833490 | + | 0.371094i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −5.77415 | + | 2.11515i | −0.194646 | + | 0.0713017i | ||||
\(881\) | 25.0902 | 0.845309 | 0.422655 | − | 0.906291i | \(-0.361098\pi\) | ||||
0.422655 | + | 0.906291i | \(0.361098\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 11.5623 | + | 35.5851i | 0.389103 | + | 1.19753i | 0.933460 | + | 0.358681i | \(0.116774\pi\) |
−0.544358 | + | 0.838853i | \(0.683226\pi\) | |||||||
\(884\) | −1.59385 | − | 1.77015i | −0.0536069 | − | 0.0595364i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0.148055 | − | 1.40865i | 0.00497400 | − | 0.0473245i | ||||
\(887\) | −2.93444 | + | 0.623735i | −0.0985289 | + | 0.0209430i | −0.256912 | − | 0.966435i | \(-0.582705\pi\) |
0.158383 | + | 0.987378i | \(0.449372\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −3.04435 | − | 28.9651i | −0.102104 | − | 0.971457i | ||||
\(890\) | −5.85410 | −0.196230 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −7.85410 | −0.262975 | ||||||||
\(893\) | −0.0551768 | − | 0.524972i | −0.00184642 | − | 0.0175675i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.835438 | − | 0.177578i | 0.0279256 | − | 0.00593577i | ||||
\(896\) | −4.27042 | + | 40.6303i | −0.142665 | + | 1.35736i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −16.8116 | − | 18.6712i | −0.561012 | − | 0.623067i | ||||
\(899\) | 5.32624 | + | 16.3925i | 0.177640 | + | 0.546720i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 4.56231 | 0.151992 | ||||||||
\(902\) | 17.7832 | − | 26.4826i | 0.592116 | − | 0.881775i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 25.9597 | + | 11.5580i | 0.863406 | + | 0.384413i | ||||
\(905\) | 2.17960 | − | 2.42069i | 0.0724522 | − | 0.0804663i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 3.63474 | − | 1.61829i | 0.120689 | − | 0.0537344i | −0.345504 | − | 0.938417i | \(-0.612292\pi\) |
0.466193 | + | 0.884683i | \(0.345625\pi\) | |||||||
\(908\) | −5.44427 | − | 3.95550i | −0.180675 | − | 0.131268i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −3.57295 | − | 10.9964i | −0.118442 | − | 0.364527i | ||||
\(911\) | −3.75720 | − | 35.7474i | −0.124482 | − | 1.18436i | −0.861237 | − | 0.508204i | \(-0.830310\pi\) |
0.736755 | − | 0.676159i | \(-0.236357\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −18.5549 | − | 37.8444i | −0.614078 | − | 1.25247i | ||||
\(914\) | −26.5344 | − | 45.9590i | −0.877681 | − | 1.52019i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −6.04528 | − | 1.28496i | −0.199742 | − | 0.0424564i | ||||
\(917\) | −12.8435 | + | 39.5281i | −0.424128 | + | 1.30533i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 37.9894 | + | 27.6009i | 1.25315 | + | 0.910469i | 0.998400 | − | 0.0565371i | \(-0.0180059\pi\) |
0.254753 | + | 0.967006i | \(0.418006\pi\) | |||||||
\(920\) | −3.12736 | − | 3.47328i | −0.103106 | − | 0.114511i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −14.6482 | − | 6.52180i | −0.482412 | − | 0.214784i | ||||
\(923\) | −45.4058 | − | 78.6451i | −1.49455 | − | 2.58863i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −10.2812 | + | 17.8075i | −0.338042 | + | 0.585506i | ||||
\(926\) | −11.5172 | + | 8.36775i | −0.378479 | + | 0.274981i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 4.67376 | − | 14.3844i | 0.153424 | − | 0.472190i | ||||
\(929\) | 2.63882 | − | 1.17488i | 0.0865767 | − | 0.0385465i | −0.362991 | − | 0.931792i | \(-0.618245\pi\) |
0.449568 | + | 0.893246i | \(0.351578\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.67088 | − | 0.355156i | 0.0547607 | − | 0.0116398i | ||||
\(932\) | 3.58699 | − | 3.98376i | 0.117496 | − | 0.130492i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 11.5172 | − | 19.9484i | 0.376855 | − | 0.652732i | ||||
\(935\) | 0.600813 | + | 0.502029i | 0.0196487 | + | 0.0164181i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −26.3713 | + | 19.1599i | −0.861514 | + | 0.625926i | −0.928296 | − | 0.371841i | \(-0.878727\pi\) |
0.0667827 | + | 0.997768i | \(0.478727\pi\) | |||||||
\(938\) | −50.1501 | − | 10.6597i | −1.63746 | − | 0.348053i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.0152505 | + | 0.145099i | −0.000497416 | + | 0.00473260i | ||||
\(941\) | −3.51542 | + | 33.4470i | −0.114599 | + | 1.09034i | 0.774484 | + | 0.632594i | \(0.218010\pi\) |
−0.889083 | + | 0.457746i | \(0.848657\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 31.8171 | + | 6.76292i | 1.03611 | + | 0.220231i | ||||
\(944\) | −20.9164 | + | 15.1967i | −0.680771 | + | 0.494609i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −3.52786 | + | 8.78402i | −0.114701 | + | 0.285593i | ||||
\(947\) | −1.33688 | + | 2.31555i | −0.0434428 | + | 0.0752451i | −0.886929 | − | 0.461905i | \(-0.847166\pi\) |
0.843486 | + | 0.537151i | \(0.180499\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 5.15780 | − | 5.72831i | 0.167429 | − | 0.185949i | ||||
\(950\) | −6.56161 | + | 1.39471i | −0.212887 | + | 0.0452505i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 3.78747 | − | 1.68629i | 0.122752 | − | 0.0546529i | ||||
\(953\) | 18.5967 | − | 57.2349i | 0.602408 | − | 1.85402i | 0.0886937 | − | 0.996059i | \(-0.471731\pi\) |
0.513714 | − | 0.857961i | \(-0.328269\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.454915 | − | 0.330515i | 0.0147207 | − | 0.0106952i | ||||
\(956\) | 5.42705 | − | 9.39993i | 0.175523 | − | 0.304015i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 13.6803 | + | 23.6950i | 0.441992 | + | 0.765552i | ||||
\(959\) | −4.03459 | − | 1.79631i | −0.130284 | − | 0.0580060i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −10.8037 | − | 11.9987i | −0.348507 | − | 0.387056i | ||||
\(962\) | 34.5795 | + | 25.1235i | 1.11489 | + | 0.810014i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 3.27051 | − | 10.0656i | 0.105336 | − | 0.324191i | ||||
\(965\) | 0.583707 | + | 0.124071i | 0.0187902 | + | 0.00399398i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −12.8435 | − | 22.2455i | −0.413018 | − | 0.715368i | 0.582200 | − | 0.813045i | \(-0.302192\pi\) |
−0.995218 | + | 0.0976776i | \(0.968859\pi\) | |||||||
\(968\) | 9.30834 | + | 22.7674i | 0.299181 | + | 0.731772i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0.971257 | + | 9.24089i | 0.0311852 | + | 0.296707i | ||||
\(971\) | −10.4377 | − | 32.1239i | −0.334962 | − | 1.03091i | −0.966741 | − | 0.255757i | \(-0.917675\pi\) |
0.631779 | − | 0.775148i | \(-0.282325\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −14.2082 | − | 10.3229i | −0.455494 | − | 0.330936i | ||||
\(974\) | 57.9143 | − | 25.7851i | 1.85569 | − | 0.826209i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −3.72191 | + | 4.13360i | −0.119135 | + | 0.132313i | ||||
\(977\) | −45.0932 | − | 20.0768i | −1.44266 | − | 0.642314i | −0.471744 | − | 0.881735i | \(-0.656375\pi\) |
−0.970916 | + | 0.239422i | \(0.923042\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.16131 | + | 31.3940i | 0.0371155 | + | 1.00336i | ||||
\(980\) | −0.472136 | −0.0150818 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −13.1074 | − | 40.3404i | −0.418274 | − | 1.28731i | ||||
\(983\) | 23.6236 | + | 26.2367i | 0.753477 | + | 0.836821i | 0.990902 | − | 0.134585i | \(-0.0429702\pi\) |
−0.237425 | + | 0.971406i | \(0.576304\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1.06276 | − | 10.1115i | 0.0338624 | − | 0.322179i | ||||
\(986\) | −4.37441 | + | 0.929809i | −0.139310 | + | 0.0296112i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.344086 | + | 3.27376i | 0.0109468 | + | 0.104152i | ||||
\(989\) | −9.65248 | −0.306931 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −12.2705 | −0.389786 | −0.194893 | − | 0.980825i | \(-0.562436\pi\) | ||||
−0.194893 | + | 0.980825i | \(0.562436\pi\) | |||||||
\(992\) | −1.36247 | − | 12.9630i | −0.0432585 | − | 0.411577i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −69.1422 | + | 14.6966i | −2.19306 | + | 0.466149i | ||||
\(995\) | −0.131429 | + | 1.25047i | −0.00416659 | + | 0.0396424i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 22.7362 | + | 25.2511i | 0.720063 | + | 0.799711i | 0.986434 | − | 0.164160i | \(-0.0524913\pi\) |
−0.266371 | + | 0.963871i | \(0.585825\pi\) | |||||||
\(998\) | 1.28115 | + | 3.94298i | 0.0405542 | + | 0.124813i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))