Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(4,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 44, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.y (of order \(33\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 25.16 | ||
Character | \(\chi\) | \(=\) | 483.25 |
Dual form | 483.2.y.a.58.16 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.130949 | − | 2.74897i | 0.0925952 | − | 1.94381i | −0.184210 | − | 0.982887i | \(-0.558973\pi\) |
0.276805 | − | 0.960926i | \(-0.410724\pi\) | |||||||
\(3\) | −0.928368 | − | 0.371662i | −0.535993 | − | 0.214579i | ||||
\(4\) | −5.54873 | − | 0.529839i | −2.77436 | − | 0.264920i | ||||
\(5\) | −0.303790 | − | 1.25224i | −0.135859 | − | 0.560018i | −0.998527 | − | 0.0542482i | \(-0.982724\pi\) |
0.862669 | − | 0.505770i | \(-0.168791\pi\) | |||||||
\(6\) | −1.14326 | + | 2.50338i | −0.466733 | + | 1.02200i | ||||
\(7\) | −2.56818 | − | 0.635956i | −0.970682 | − | 0.240369i | ||||
\(8\) | −1.39979 | + | 9.73574i | −0.494900 | + | 3.44210i | ||||
\(9\) | 0.723734 | + | 0.690079i | 0.241245 | + | 0.230026i | ||||
\(10\) | −3.48214 | + | 0.671128i | −1.10115 | + | 0.212229i | ||||
\(11\) | −0.158578 | − | 3.32897i | −0.0478132 | − | 1.00372i | −0.887545 | − | 0.460721i | \(-0.847591\pi\) |
0.839732 | − | 0.543002i | \(-0.182712\pi\) | |||||||
\(12\) | 4.95434 | + | 2.55414i | 1.43019 | + | 0.737316i | ||||
\(13\) | −0.760350 | − | 0.877491i | −0.210883 | − | 0.243372i | 0.640447 | − | 0.768002i | \(-0.278749\pi\) |
−0.851330 | + | 0.524630i | \(0.824204\pi\) | |||||||
\(14\) | −2.08453 | + | 6.97657i | −0.557113 | + | 1.86457i | ||||
\(15\) | −0.183381 | + | 1.27544i | −0.0473488 | + | 0.329318i | ||||
\(16\) | 15.6334 | + | 3.01310i | 3.90836 | + | 0.753275i | ||||
\(17\) | 2.40153 | + | 3.37248i | 0.582457 | + | 0.817947i | 0.995696 | − | 0.0926756i | \(-0.0295419\pi\) |
−0.413239 | + | 0.910623i | \(0.635603\pi\) | |||||||
\(18\) | 1.99178 | − | 1.89916i | 0.469466 | − | 0.447635i | ||||
\(19\) | 0.490888 | − | 0.689356i | 0.112617 | − | 0.158149i | −0.754420 | − | 0.656392i | \(-0.772082\pi\) |
0.867038 | + | 0.498243i | \(0.166021\pi\) | |||||||
\(20\) | 1.02216 | + | 7.10928i | 0.228562 | + | 1.58968i | ||||
\(21\) | 2.14786 | + | 1.54490i | 0.468701 | + | 0.337124i | ||||
\(22\) | −9.17200 | −1.95548 | ||||||||
\(23\) | −1.32079 | + | 4.61037i | −0.275404 | + | 0.961328i | ||||
\(24\) | 4.91793 | − | 8.51810i | 1.00387 | − | 1.73875i | ||||
\(25\) | 2.96837 | − | 1.53030i | 0.593673 | − | 0.306060i | ||||
\(26\) | −2.51176 | + | 1.97527i | −0.492597 | + | 0.387383i | ||||
\(27\) | −0.415415 | − | 0.909632i | −0.0799467 | − | 0.175059i | ||||
\(28\) | 13.9132 | + | 4.88947i | 2.62934 | + | 0.924023i | ||||
\(29\) | −2.31911 | + | 5.07814i | −0.430647 | + | 0.942986i | 0.562574 | + | 0.826747i | \(0.309811\pi\) |
−0.993221 | + | 0.116239i | \(0.962916\pi\) | |||||||
\(30\) | 3.48214 | + | 0.671128i | 0.635749 | + | 0.122531i | ||||
\(31\) | −6.51115 | − | 5.12042i | −1.16944 | − | 0.919655i | −0.171585 | − | 0.985169i | \(-0.554889\pi\) |
−0.997852 | + | 0.0655146i | \(0.979131\pi\) | |||||||
\(32\) | 5.69232 | − | 23.4641i | 1.00627 | − | 4.14790i | ||||
\(33\) | −1.09003 | + | 3.14945i | −0.189751 | + | 0.548249i | ||||
\(34\) | 9.58532 | − | 6.16011i | 1.64387 | − | 1.05645i | ||||
\(35\) | −0.0161817 | + | 3.40917i | −0.00273521 | + | 0.576255i | ||||
\(36\) | −3.65017 | − | 4.21252i | −0.608362 | − | 0.702087i | ||||
\(37\) | −4.56388 | − | 4.35165i | −0.750297 | − | 0.715407i | 0.214985 | − | 0.976617i | \(-0.431030\pi\) |
−0.965282 | + | 0.261211i | \(0.915878\pi\) | |||||||
\(38\) | −1.83073 | − | 1.43971i | −0.296984 | − | 0.233551i | ||||
\(39\) | 0.379754 | + | 1.09723i | 0.0608094 | + | 0.175697i | ||||
\(40\) | 12.6167 | − | 1.20475i | 1.99488 | − | 0.190487i | ||||
\(41\) | −1.73640 | − | 0.509854i | −0.271181 | − | 0.0796258i | 0.143315 | − | 0.989677i | \(-0.454224\pi\) |
−0.414496 | + | 0.910051i | \(0.636042\pi\) | |||||||
\(42\) | 4.52813 | − | 5.70208i | 0.698706 | − | 0.879850i | ||||
\(43\) | 1.44742 | + | 10.0671i | 0.220730 | + | 1.53521i | 0.735287 | + | 0.677756i | \(0.237047\pi\) |
−0.514557 | + | 0.857456i | \(0.672044\pi\) | |||||||
\(44\) | −0.883911 | + | 18.5556i | −0.133255 | + | 2.79736i | ||||
\(45\) | 0.644280 | − | 1.11593i | 0.0960436 | − | 0.166352i | ||||
\(46\) | 12.5008 | + | 4.23454i | 1.84314 | + | 0.624349i | ||||
\(47\) | −4.79965 | − | 8.31324i | −0.700101 | − | 1.21261i | −0.968431 | − | 0.249283i | \(-0.919805\pi\) |
0.268330 | − | 0.963327i | \(-0.413528\pi\) | |||||||
\(48\) | −13.3937 | − | 8.60763i | −1.93322 | − | 1.24240i | ||||
\(49\) | 6.19112 | + | 3.26650i | 0.884446 | + | 0.466643i | ||||
\(50\) | −3.81803 | − | 8.36033i | −0.539952 | − | 1.18233i | ||||
\(51\) | −0.976082 | − | 4.02346i | −0.136679 | − | 0.563398i | ||||
\(52\) | 3.75405 | + | 5.27182i | 0.520593 | + | 0.731070i | ||||
\(53\) | −0.166435 | − | 0.480883i | −0.0228616 | − | 0.0660544i | 0.932993 | − | 0.359895i | \(-0.117188\pi\) |
−0.955854 | + | 0.293841i | \(0.905066\pi\) | |||||||
\(54\) | −2.55495 | + | 1.02285i | −0.347684 | + | 0.139192i | ||||
\(55\) | −4.12049 | + | 1.20989i | −0.555607 | + | 0.163141i | ||||
\(56\) | 9.78641 | − | 24.1129i | 1.30776 | − | 3.22223i | ||||
\(57\) | −0.711932 | + | 0.457531i | −0.0942978 | + | 0.0606015i | ||||
\(58\) | 13.6559 | + | 7.04013i | 1.79311 | + | 0.924414i | ||||
\(59\) | −13.5788 | + | 2.61710i | −1.76781 | + | 0.340717i | −0.966330 | − | 0.257306i | \(-0.917165\pi\) |
−0.801479 | + | 0.598023i | \(0.795953\pi\) | |||||||
\(60\) | 1.69331 | − | 6.97993i | 0.218606 | − | 0.901105i | ||||
\(61\) | −10.2743 | + | 4.11322i | −1.31549 | + | 0.526644i | −0.920034 | − | 0.391839i | \(-0.871839\pi\) |
−0.395460 | + | 0.918483i | \(0.629415\pi\) | |||||||
\(62\) | −14.9285 | + | 17.2284i | −1.89592 | + | 2.18801i | ||||
\(63\) | −1.41982 | − | 2.23251i | −0.178881 | − | 0.281270i | ||||
\(64\) | −33.2040 | − | 9.74958i | −4.15050 | − | 1.21870i | ||||
\(65\) | −0.867841 | + | 1.21871i | −0.107642 | + | 0.151163i | ||||
\(66\) | 8.51499 | + | 3.40889i | 1.04812 | + | 0.419605i | ||||
\(67\) | −2.40537 | + | 1.24006i | −0.293863 | + | 0.151497i | −0.598854 | − | 0.800858i | \(-0.704377\pi\) |
0.304991 | + | 0.952355i | \(0.401347\pi\) | |||||||
\(68\) | −11.5386 | − | 19.9854i | −1.39926 | − | 2.42359i | ||||
\(69\) | 2.93968 | − | 3.78923i | 0.353896 | − | 0.456170i | ||||
\(70\) | 9.36958 | + | 0.490912i | 1.11988 | + | 0.0586752i | ||||
\(71\) | 3.06360 | + | 1.96885i | 0.363582 | + | 0.233660i | 0.709658 | − | 0.704547i | \(-0.248850\pi\) |
−0.346076 | + | 0.938207i | \(0.612486\pi\) | |||||||
\(72\) | −7.73150 | + | 6.08012i | −0.911166 | + | 0.716549i | ||||
\(73\) | 3.09800 | + | 0.295823i | 0.362593 | + | 0.0346234i | 0.274763 | − | 0.961512i | \(-0.411401\pi\) |
0.0878302 | + | 0.996135i | \(0.472007\pi\) | |||||||
\(74\) | −12.5602 | + | 11.9761i | −1.46009 | + | 1.39219i | ||||
\(75\) | −3.32449 | + | 0.317450i | −0.383879 | + | 0.0366560i | ||||
\(76\) | −3.08905 | + | 3.56495i | −0.354338 | + | 0.408928i | ||||
\(77\) | −1.70982 | + | 8.65026i | −0.194852 | + | 0.985788i | ||||
\(78\) | 3.06597 | − | 0.900251i | 0.347153 | − | 0.101933i | ||||
\(79\) | 4.65859 | − | 13.4601i | 0.524133 | − | 1.51438i | −0.303343 | − | 0.952881i | \(-0.598103\pi\) |
0.827476 | − | 0.561501i | \(-0.189776\pi\) | |||||||
\(80\) | −0.976161 | − | 20.4921i | −0.109138 | − | 2.29109i | ||||
\(81\) | 0.0475819 | + | 0.998867i | 0.00528688 | + | 0.110985i | ||||
\(82\) | −1.62895 | + | 4.70655i | −0.179888 | + | 0.519751i | ||||
\(83\) | 5.08241 | − | 1.49233i | 0.557867 | − | 0.163804i | 0.00936839 | − | 0.999956i | \(-0.497018\pi\) |
0.548498 | + | 0.836152i | \(0.315200\pi\) | |||||||
\(84\) | −11.0993 | − | 9.71024i | −1.21104 | − | 1.05947i | ||||
\(85\) | 3.49359 | − | 4.03182i | 0.378933 | − | 0.437312i | ||||
\(86\) | 27.8635 | − | 2.66065i | 3.00460 | − | 0.286905i | ||||
\(87\) | 4.04034 | − | 3.85245i | 0.433170 | − | 0.413026i | ||||
\(88\) | 32.6320 | + | 3.11598i | 3.47858 | + | 0.332164i | ||||
\(89\) | −4.55118 | + | 3.57909i | −0.482424 | + | 0.379382i | −0.829547 | − | 0.558437i | \(-0.811401\pi\) |
0.347123 | + | 0.937820i | \(0.387159\pi\) | |||||||
\(90\) | −2.98328 | − | 1.91723i | −0.314465 | − | 0.202094i | ||||
\(91\) | 1.39467 | + | 2.73711i | 0.146201 | + | 0.286927i | ||||
\(92\) | 9.77147 | − | 24.8819i | 1.01875 | − | 2.59411i | ||||
\(93\) | 4.14167 | + | 7.17358i | 0.429471 | + | 0.743866i | ||||
\(94\) | −23.4813 | + | 12.1055i | −2.42191 | + | 1.24858i | ||||
\(95\) | −1.01236 | − | 0.405289i | −0.103866 | − | 0.0415818i | ||||
\(96\) | −14.0053 | + | 19.6677i | −1.42941 | + | 2.00732i | ||||
\(97\) | 4.94121 | + | 1.45087i | 0.501704 | + | 0.147313i | 0.522785 | − | 0.852464i | \(-0.324893\pi\) |
−0.0210819 | + | 0.999778i | \(0.506711\pi\) | |||||||
\(98\) | 9.79023 | − | 16.5914i | 0.988963 | − | 1.67599i | ||||
\(99\) | 2.18249 | − | 2.51872i | 0.219348 | − | 0.253141i | ||||
\(100\) | −17.2815 | + | 6.91845i | −1.72815 | + | 0.691845i | ||||
\(101\) | −1.57948 | + | 6.51069i | −0.157164 | + | 0.647838i | 0.837657 | + | 0.546196i | \(0.183925\pi\) |
−0.994821 | + | 0.101642i | \(0.967590\pi\) | |||||||
\(102\) | −11.1882 | + | 2.15635i | −1.10780 | + | 0.213510i | ||||
\(103\) | −5.60325 | − | 2.88868i | −0.552104 | − | 0.284630i | 0.159514 | − | 0.987196i | \(-0.449007\pi\) |
−0.711619 | + | 0.702566i | \(0.752038\pi\) | |||||||
\(104\) | 9.60735 | − | 6.17427i | 0.942078 | − | 0.605437i | ||||
\(105\) | 1.28208 | − | 3.15895i | 0.125119 | − | 0.308282i | ||||
\(106\) | −1.34373 | + | 0.394554i | −0.130514 | + | 0.0383224i | ||||
\(107\) | −6.16804 | + | 2.46931i | −0.596287 | + | 0.238717i | −0.650119 | − | 0.759833i | \(-0.725281\pi\) |
0.0538314 | + | 0.998550i | \(0.482857\pi\) | |||||||
\(108\) | 1.82307 | + | 5.26740i | 0.175425 | + | 0.506856i | ||||
\(109\) | −7.70489 | − | 10.8200i | −0.737995 | − | 1.03637i | −0.997503 | − | 0.0706278i | \(-0.977500\pi\) |
0.259508 | − | 0.965741i | \(-0.416440\pi\) | |||||||
\(110\) | 2.78636 | + | 11.4855i | 0.265669 | + | 1.09510i | ||||
\(111\) | 2.61961 | + | 5.73615i | 0.248643 | + | 0.544451i | ||||
\(112\) | −38.2333 | − | 17.6804i | −3.61271 | − | 1.67064i | ||||
\(113\) | 2.72096 | + | 1.74865i | 0.255966 | + | 0.164499i | 0.662331 | − | 0.749212i | \(-0.269567\pi\) |
−0.406365 | + | 0.913711i | \(0.633204\pi\) | |||||||
\(114\) | 1.16451 | + | 2.01699i | 0.109066 | + | 0.188909i | ||||
\(115\) | 6.17452 | + | 0.253365i | 0.575777 | + | 0.0236264i | ||||
\(116\) | 15.5587 | − | 26.9484i | 1.44459 | − | 2.50210i | ||||
\(117\) | 0.0552468 | − | 1.15977i | 0.00510756 | − | 0.107221i | ||||
\(118\) | 5.41618 | + | 37.6704i | 0.498600 | + | 3.46784i | ||||
\(119\) | −4.02282 | − | 10.1884i | −0.368772 | − | 0.933971i | ||||
\(120\) | −12.1607 | − | 3.57070i | −1.11011 | − | 0.325959i | ||||
\(121\) | −0.106717 | + | 0.0101903i | −0.00970159 | + | 0.000926389i | ||||
\(122\) | 9.96169 | + | 28.7824i | 0.901889 | + | 2.60584i | ||||
\(123\) | 1.42253 | + | 1.11869i | 0.128265 | + | 0.100869i | ||||
\(124\) | 33.4156 | + | 31.8617i | 3.00081 | + | 2.86126i | ||||
\(125\) | −7.03719 | − | 8.12136i | −0.629426 | − | 0.726396i | ||||
\(126\) | −6.32303 | + | 3.61069i | −0.563300 | + | 0.321666i | ||||
\(127\) | 10.3263 | − | 6.63633i | 0.916314 | − | 0.588879i | 0.00472798 | − | 0.999989i | \(-0.498495\pi\) |
0.911586 | + | 0.411110i | \(0.134859\pi\) | |||||||
\(128\) | −15.3554 | + | 44.3666i | −1.35724 | + | 3.92149i | ||||
\(129\) | 2.39781 | − | 9.88389i | 0.211115 | − | 0.870228i | ||||
\(130\) | 3.23656 | + | 2.54526i | 0.283865 | + | 0.223234i | ||||
\(131\) | −8.33819 | − | 1.60705i | −0.728511 | − | 0.140409i | −0.188508 | − | 0.982072i | \(-0.560365\pi\) |
−0.540004 | + | 0.841663i | \(0.681577\pi\) | |||||||
\(132\) | 7.71700 | − | 16.8979i | 0.671679 | − | 1.47077i | ||||
\(133\) | −1.69909 | + | 1.45821i | −0.147330 | + | 0.126443i | ||||
\(134\) | 3.09389 | + | 6.77468i | 0.267272 | + | 0.585243i | ||||
\(135\) | −1.01288 | + | 0.796535i | −0.0871746 | + | 0.0685548i | ||||
\(136\) | −36.1952 | + | 18.6599i | −3.10372 | + | 1.60008i | ||||
\(137\) | −8.05657 | + | 13.9544i | −0.688319 | + | 1.19220i | 0.284062 | + | 0.958806i | \(0.408318\pi\) |
−0.972381 | + | 0.233398i | \(0.925016\pi\) | |||||||
\(138\) | −10.0315 | − | 8.57729i | −0.853939 | − | 0.730147i | ||||
\(139\) | −20.6536 | −1.75182 | −0.875908 | − | 0.482477i | \(-0.839737\pi\) | ||||
−0.875908 | + | 0.482477i | \(0.839737\pi\) | |||||||
\(140\) | 1.89610 | − | 18.9080i | 0.160250 | − | 1.59802i | ||||
\(141\) | 1.36612 | + | 9.50159i | 0.115048 | + | 0.800178i | ||||
\(142\) | 5.81349 | − | 8.16391i | 0.487857 | − | 0.685100i | ||||
\(143\) | −2.80057 | + | 2.67034i | −0.234195 | + | 0.223305i | ||||
\(144\) | 9.23518 | + | 12.9690i | 0.769598 | + | 1.08075i | ||||
\(145\) | 7.06356 | + | 1.36139i | 0.586596 | + | 0.113057i | ||||
\(146\) | 1.21889 | − | 8.47755i | 0.100876 | − | 0.701607i | ||||
\(147\) | −4.53360 | − | 5.33352i | −0.373925 | − | 0.439902i | ||||
\(148\) | 23.0180 | + | 26.5642i | 1.89207 | + | 2.18357i | ||||
\(149\) | 8.00488 | + | 4.12680i | 0.655785 | + | 0.338081i | 0.753800 | − | 0.657104i | \(-0.228219\pi\) |
−0.0980147 | + | 0.995185i | \(0.531249\pi\) | |||||||
\(150\) | 0.437320 | + | 9.18048i | 0.0357071 | + | 0.749583i | ||||
\(151\) | 15.5764 | − | 3.00211i | 1.26759 | − | 0.244308i | 0.489246 | − | 0.872146i | \(-0.337272\pi\) |
0.778344 | + | 0.627838i | \(0.216060\pi\) | |||||||
\(152\) | 6.02425 | + | 5.74411i | 0.488631 | + | 0.465909i | ||||
\(153\) | −0.589207 | + | 4.09803i | −0.0476346 | + | 0.331306i | ||||
\(154\) | 23.5554 | + | 5.83299i | 1.89815 | + | 0.470036i | ||||
\(155\) | −4.43397 | + | 9.70903i | −0.356145 | + | 0.779848i | ||||
\(156\) | −1.52580 | − | 6.28943i | −0.122162 | − | 0.503557i | ||||
\(157\) | −11.1364 | − | 1.06340i | −0.888780 | − | 0.0848682i | −0.359331 | − | 0.933210i | \(-0.616995\pi\) |
−0.529449 | + | 0.848342i | \(0.677601\pi\) | |||||||
\(158\) | −36.3914 | − | 14.5689i | −2.89514 | − | 1.15904i | ||||
\(159\) | −0.0242130 | + | 0.508294i | −0.00192022 | + | 0.0403104i | ||||
\(160\) | −31.1118 | −2.45961 | ||||||||
\(161\) | 6.32403 | − | 11.0003i | 0.498404 | − | 0.866945i | ||||
\(162\) | 2.75208 | 0.216224 | ||||||||
\(163\) | 0.349724 | − | 7.34160i | 0.0273925 | − | 0.575039i | −0.942896 | − | 0.333088i | \(-0.891910\pi\) |
0.970288 | − | 0.241951i | \(-0.0777874\pi\) | |||||||
\(164\) | 9.36468 | + | 3.74905i | 0.731259 | + | 0.292752i | ||||
\(165\) | 4.27500 | + | 0.408213i | 0.332808 | + | 0.0317793i | ||||
\(166\) | −3.43683 | − | 14.1668i | −0.266749 | − | 1.09956i | ||||
\(167\) | 4.22982 | − | 9.26202i | 0.327313 | − | 0.716716i | −0.672411 | − | 0.740178i | \(-0.734741\pi\) |
0.999725 | + | 0.0234614i | \(0.00746867\pi\) | |||||||
\(168\) | −18.0473 | + | 18.7484i | −1.39238 | + | 1.44647i | ||||
\(169\) | 1.65823 | − | 11.5333i | 0.127557 | − | 0.887175i | ||||
\(170\) | −10.6258 | − | 10.1317i | −0.814965 | − | 0.777068i | ||||
\(171\) | 0.830982 | − | 0.160159i | 0.0635468 | − | 0.0122476i | ||||
\(172\) | −2.69744 | − | 56.6262i | −0.205678 | − | 4.31771i | ||||
\(173\) | 14.9824 | + | 7.72396i | 1.13909 | + | 0.587242i | 0.921338 | − | 0.388762i | \(-0.127097\pi\) |
0.217752 | + | 0.976004i | \(0.430128\pi\) | |||||||
\(174\) | −10.0612 | − | 11.6112i | −0.762737 | − | 0.880245i | ||||
\(175\) | −8.59651 | + | 2.04233i | −0.649835 | + | 0.154386i | ||||
\(176\) | 7.55139 | − | 52.5211i | 0.569208 | − | 3.95893i | ||||
\(177\) | 13.5788 | + | 2.61710i | 1.02064 | + | 0.196713i | ||||
\(178\) | 9.24281 | + | 12.9797i | 0.692778 | + | 0.972871i | ||||
\(179\) | 0.615427 | − | 0.586809i | 0.0459992 | − | 0.0438602i | −0.666731 | − | 0.745299i | \(-0.732307\pi\) |
0.712730 | + | 0.701438i | \(0.247458\pi\) | |||||||
\(180\) | −4.16619 | + | 5.85060i | −0.310530 | + | 0.436078i | ||||
\(181\) | −3.37651 | − | 23.4841i | −0.250974 | − | 1.74556i | −0.592391 | − | 0.805650i | \(-0.701816\pi\) |
0.341417 | − | 0.939912i | \(-0.389093\pi\) | |||||||
\(182\) | 7.70685 | − | 3.47548i | 0.571270 | − | 0.257620i | ||||
\(183\) | 11.0671 | 0.818103 | ||||||||
\(184\) | −43.0365 | − | 19.3124i | −3.17269 | − | 1.42373i | ||||
\(185\) | −4.06284 | + | 7.03705i | −0.298706 | + | 0.517374i | ||||
\(186\) | 20.2623 | − | 10.4459i | 1.48570 | − | 0.765933i | ||||
\(187\) | 10.8461 | − | 8.52944i | 0.793143 | − | 0.623735i | ||||
\(188\) | 22.2273 | + | 48.6709i | 1.62109 | + | 3.54969i | ||||
\(189\) | 0.488375 | + | 2.60029i | 0.0355241 | + | 0.189143i | ||||
\(190\) | −1.24670 | + | 2.72988i | −0.0904448 | + | 0.198047i | ||||
\(191\) | −14.0458 | − | 2.70711i | −1.01632 | − | 0.195880i | −0.346223 | − | 0.938152i | \(-0.612536\pi\) |
−0.670098 | + | 0.742272i | \(0.733748\pi\) | |||||||
\(192\) | 27.2020 | + | 21.3919i | 1.96313 | + | 1.54383i | ||||
\(193\) | 0.272778 | − | 1.12441i | 0.0196350 | − | 0.0809365i | −0.961151 | − | 0.276023i | \(-0.910984\pi\) |
0.980786 | + | 0.195086i | \(0.0624987\pi\) | |||||||
\(194\) | 4.63544 | − | 13.3932i | 0.332805 | − | 0.961577i | ||||
\(195\) | 1.25863 | − | 0.808869i | 0.0901320 | − | 0.0579243i | ||||
\(196\) | −32.6221 | − | 21.4052i | −2.33015 | − | 1.52895i | ||||
\(197\) | 6.45879 | + | 7.45384i | 0.460170 | + | 0.531064i | 0.937651 | − | 0.347578i | \(-0.112996\pi\) |
−0.477482 | + | 0.878642i | \(0.658450\pi\) | |||||||
\(198\) | −6.63809 | − | 6.32940i | −0.471748 | − | 0.449811i | ||||
\(199\) | −9.95596 | − | 7.82945i | −0.705759 | − | 0.555015i | 0.199488 | − | 0.979900i | \(-0.436072\pi\) |
−0.905247 | + | 0.424885i | \(0.860315\pi\) | |||||||
\(200\) | 10.7435 | + | 31.0413i | 0.759681 | + | 2.19495i | ||||
\(201\) | 2.69395 | − | 0.257241i | 0.190017 | − | 0.0181444i | ||||
\(202\) | 17.6908 | + | 5.19450i | 1.24472 | + | 0.365484i | ||||
\(203\) | 9.18536 | − | 11.5667i | 0.644686 | − | 0.811825i | ||||
\(204\) | 3.28422 | + | 22.8423i | 0.229942 | + | 1.59928i | ||||
\(205\) | −0.110957 | + | 2.32928i | −0.00774958 | + | 0.162684i | ||||
\(206\) | −8.67461 | + | 15.0249i | −0.604389 | + | 1.04683i | ||||
\(207\) | −4.13742 | + | 2.42523i | −0.287571 | + | 0.168565i | ||||
\(208\) | −9.24293 | − | 16.0092i | −0.640882 | − | 1.11004i | ||||
\(209\) | −2.37269 | − | 1.52484i | −0.164122 | − | 0.105475i | ||||
\(210\) | −8.51596 | − | 3.93807i | −0.587657 | − | 0.271753i | ||||
\(211\) | −7.74830 | − | 16.9664i | −0.533415 | − | 1.16802i | −0.964106 | − | 0.265517i | \(-0.914457\pi\) |
0.430691 | − | 0.902499i | \(-0.358270\pi\) | |||||||
\(212\) | 0.668713 | + | 2.75647i | 0.0459274 | + | 0.189315i | ||||
\(213\) | −2.11240 | − | 2.96645i | −0.144739 | − | 0.203257i | ||||
\(214\) | 5.98036 | + | 17.2791i | 0.408809 | + | 1.18118i | ||||
\(215\) | 12.1666 | − | 4.87079i | 0.829758 | − | 0.332185i | ||||
\(216\) | 9.43743 | − | 2.77108i | 0.642136 | − | 0.188548i | ||||
\(217\) | 13.4654 | + | 17.2910i | 0.914094 | + | 1.17379i | ||||
\(218\) | −30.7528 | + | 19.7636i | −2.08284 | + | 1.33856i | ||||
\(219\) | −2.76613 | − | 1.42604i | −0.186918 | − | 0.0963629i | ||||
\(220\) | 23.5045 | − | 4.53012i | 1.58467 | − | 0.305421i | ||||
\(221\) | 1.13332 | − | 4.67159i | 0.0762351 | − | 0.314245i | ||||
\(222\) | 16.1115 | − | 6.45008i | 1.08133 | − | 0.432901i | ||||
\(223\) | 9.62658 | − | 11.1097i | 0.644643 | − | 0.743958i | −0.335545 | − | 0.942024i | \(-0.608921\pi\) |
0.980189 | + | 0.198066i | \(0.0634660\pi\) | |||||||
\(224\) | −29.5410 | + | 56.6399i | −1.97379 | + | 3.78441i | ||||
\(225\) | 3.20433 | + | 0.940878i | 0.213622 | + | 0.0627252i | ||||
\(226\) | 5.16329 | − | 7.25083i | 0.343457 | − | 0.482318i | ||||
\(227\) | 12.7539 | + | 5.10589i | 0.846506 | + | 0.338890i | 0.754042 | − | 0.656826i | \(-0.228101\pi\) |
0.0924639 | + | 0.995716i | \(0.470526\pi\) | |||||||
\(228\) | 4.19274 | − | 2.16151i | 0.277671 | − | 0.143149i | ||||
\(229\) | 0.410684 | + | 0.711326i | 0.0271388 | + | 0.0470057i | 0.879276 | − | 0.476313i | \(-0.158027\pi\) |
−0.852137 | + | 0.523319i | \(0.824694\pi\) | |||||||
\(230\) | 1.50504 | − | 16.9404i | 0.0992396 | − | 1.11702i | ||||
\(231\) | 4.80232 | − | 7.39514i | 0.315969 | − | 0.486565i | ||||
\(232\) | −46.1931 | − | 29.6865i | −3.03273 | − | 1.94902i | ||||
\(233\) | 10.5817 | − | 8.32151i | 0.693228 | − | 0.545161i | −0.208202 | − | 0.978086i | \(-0.566761\pi\) |
0.901430 | + | 0.432925i | \(0.142519\pi\) | |||||||
\(234\) | −3.18094 | − | 0.303743i | −0.207945 | − | 0.0198563i | ||||
\(235\) | −8.95206 | + | 8.53578i | −0.583968 | + | 0.556813i | ||||
\(236\) | 76.7317 | − | 7.32698i | 4.99481 | − | 0.476946i | ||||
\(237\) | −9.32751 | + | 10.7645i | −0.605887 | + | 0.699231i | ||||
\(238\) | −28.5344 | + | 9.72444i | −1.84961 | + | 0.630342i | ||||
\(239\) | 5.21457 | − | 1.53114i | 0.337303 | − | 0.0990410i | −0.108695 | − | 0.994075i | \(-0.534667\pi\) |
0.445998 | + | 0.895034i | \(0.352849\pi\) | |||||||
\(240\) | −6.70992 | + | 19.3870i | −0.433123 | + | 1.25143i | ||||
\(241\) | −0.711382 | − | 14.9337i | −0.0458241 | − | 0.961967i | −0.898350 | − | 0.439281i | \(-0.855233\pi\) |
0.852526 | − | 0.522685i | \(-0.175070\pi\) | |||||||
\(242\) | 0.0140382 | + | 0.294697i | 0.000902407 | + | 0.0189438i | ||||
\(243\) | 0.327068 | − | 0.945001i | 0.0209814 | − | 0.0606218i | ||||
\(244\) | 59.1888 | − | 17.3794i | 3.78917 | − | 1.11260i | ||||
\(245\) | 2.20964 | − | 8.74508i | 0.141169 | − | 0.558703i | ||||
\(246\) | 3.26151 | − | 3.76399i | 0.207947 | − | 0.239983i | ||||
\(247\) | −0.978151 | + | 0.0934021i | −0.0622382 | + | 0.00594303i | ||||
\(248\) | 58.9653 | − | 56.2233i | 3.74430 | − | 3.57018i | ||||
\(249\) | −5.27299 | − | 0.503509i | −0.334162 | − | 0.0319086i | ||||
\(250\) | −23.2469 | + | 18.2815i | −1.47026 | + | 1.15623i | ||||
\(251\) | −20.1234 | − | 12.9325i | −1.27018 | − | 0.816293i | −0.280533 | − | 0.959844i | \(-0.590511\pi\) |
−0.989643 | + | 0.143552i | \(0.954148\pi\) | |||||||
\(252\) | 6.69532 | + | 13.1399i | 0.421766 | + | 0.827734i | ||||
\(253\) | 15.5572 | + | 3.66578i | 0.978075 | + | 0.230466i | ||||
\(254\) | −16.8908 | − | 29.2558i | −1.05982 | − | 1.83567i | ||||
\(255\) | −4.74181 | + | 2.44457i | −0.296944 | + | 0.153085i | ||||
\(256\) | 55.6977 | + | 22.2980i | 3.48111 | + | 1.39362i | ||||
\(257\) | 1.04285 | − | 1.46448i | 0.0650511 | − | 0.0913515i | −0.780769 | − | 0.624820i | \(-0.785172\pi\) |
0.845820 | + | 0.533469i | \(0.179112\pi\) | |||||||
\(258\) | −26.8565 | − | 7.88578i | −1.67201 | − | 0.490947i | ||||
\(259\) | 8.95341 | + | 14.0783i | 0.556338 | + | 0.874780i | ||||
\(260\) | 5.46113 | − | 6.30248i | 0.338685 | − | 0.390863i | ||||
\(261\) | −5.18273 | + | 2.07485i | −0.320803 | + | 0.128430i | ||||
\(262\) | −5.50962 | + | 22.7110i | −0.340386 | + | 1.40309i | ||||
\(263\) | −21.7806 | + | 4.19787i | −1.34305 | + | 0.258852i | −0.809602 | − | 0.586980i | \(-0.800317\pi\) |
−0.533450 | + | 0.845832i | \(0.679105\pi\) | |||||||
\(264\) | −29.1364 | − | 15.0209i | −1.79322 | − | 0.924469i | ||||
\(265\) | −0.551619 | + | 0.354504i | −0.0338857 | + | 0.0217770i | ||||
\(266\) | 3.78607 | + | 4.86169i | 0.232139 | + | 0.298090i | ||||
\(267\) | 5.55538 | − | 1.63121i | 0.339984 | − | 0.0998282i | ||||
\(268\) | 14.0038 | − | 5.60627i | 0.855418 | − | 0.342458i | ||||
\(269\) | −9.56280 | − | 27.6299i | −0.583054 | − | 1.68462i | −0.719939 | − | 0.694037i | \(-0.755830\pi\) |
0.136885 | − | 0.990587i | \(-0.456291\pi\) | |||||||
\(270\) | 2.05701 | + | 2.88867i | 0.125186 | + | 0.175799i | ||||
\(271\) | 3.87128 | + | 15.9577i | 0.235164 | + | 0.969358i | 0.959902 | + | 0.280334i | \(0.0904454\pi\) |
−0.724739 | + | 0.689024i | \(0.758039\pi\) | |||||||
\(272\) | 27.3826 | + | 59.9596i | 1.66031 | + | 3.63558i | ||||
\(273\) | −0.277489 | − | 3.05939i | −0.0167944 | − | 0.185163i | ||||
\(274\) | 37.3051 | + | 23.9746i | 2.25369 | + | 1.44836i | ||||
\(275\) | −5.56504 | − | 9.63893i | −0.335585 | − | 0.581250i | ||||
\(276\) | −18.3192 | + | 19.4678i | −1.10268 | + | 1.17183i | ||||
\(277\) | −9.76642 | + | 16.9159i | −0.586807 | + | 1.01638i | 0.407840 | + | 0.913053i | \(0.366282\pi\) |
−0.994647 | + | 0.103327i | \(0.967051\pi\) | |||||||
\(278\) | −2.70458 | + | 56.7761i | −0.162210 | + | 3.40520i | ||||
\(279\) | −1.17884 | − | 8.19903i | −0.0705754 | − | 0.490863i | ||||
\(280\) | −33.1681 | − | 4.92966i | −1.98218 | − | 0.294603i | ||||
\(281\) | 10.8761 | + | 3.19350i | 0.648811 | + | 0.190508i | 0.589547 | − | 0.807734i | \(-0.299306\pi\) |
0.0592643 | + | 0.998242i | \(0.481125\pi\) | |||||||
\(282\) | 26.2984 | − | 2.51120i | 1.56605 | − | 0.149540i | ||||
\(283\) | 1.18761 | + | 3.43139i | 0.0705964 | + | 0.203975i | 0.974779 | − | 0.223170i | \(-0.0716406\pi\) |
−0.904183 | + | 0.427145i | \(0.859519\pi\) | |||||||
\(284\) | −15.9559 | − | 12.5478i | −0.946808 | − | 0.744578i | ||||
\(285\) | 0.789216 | + | 0.752516i | 0.0467491 | + | 0.0445752i | ||||
\(286\) | 6.97393 | + | 8.04835i | 0.412377 | + | 0.475909i | ||||
\(287\) | 4.13515 | + | 2.41367i | 0.244090 | + | 0.142475i | ||||
\(288\) | 20.3118 | − | 13.0536i | 1.19688 | − | 0.769190i | ||||
\(289\) | −0.0461166 | + | 0.133245i | −0.00271274 | + | 0.00783795i | ||||
\(290\) | 4.66738 | − | 19.2392i | 0.274078 | − | 1.12977i | ||||
\(291\) | −4.04802 | − | 3.18340i | −0.237299 | − | 0.186614i | ||||
\(292\) | −17.0332 | − | 3.28288i | −0.996792 | − | 0.192116i | ||||
\(293\) | −2.20598 | + | 4.83042i | −0.128875 | + | 0.282196i | −0.963059 | − | 0.269289i | \(-0.913211\pi\) |
0.834185 | + | 0.551485i | \(0.185939\pi\) | |||||||
\(294\) | −15.2554 | + | 11.7643i | −0.889710 | + | 0.686107i | ||||
\(295\) | 7.40233 | + | 16.2088i | 0.430980 | + | 0.943715i | ||||
\(296\) | 48.7550 | − | 38.3413i | 2.83382 | − | 2.22854i | ||||
\(297\) | −2.96226 | + | 1.52715i | −0.171888 | + | 0.0886144i | ||||
\(298\) | 12.3927 | − | 21.4647i | 0.717888 | − | 1.24342i | ||||
\(299\) | 5.04982 | − | 2.34651i | 0.292039 | − | 0.135702i | ||||
\(300\) | 18.6149 | 1.07473 | ||||||||
\(301\) | 2.68496 | − | 26.7745i | 0.154759 | − | 1.54326i | ||||
\(302\) | −6.21297 | − | 43.2122i | −0.357516 | − | 2.48658i | ||||
\(303\) | 3.88611 | − | 5.45728i | 0.223251 | − | 0.313513i | ||||
\(304\) | 9.75137 | − | 9.29791i | 0.559279 | − | 0.533272i | ||||
\(305\) | 8.27197 | + | 11.6164i | 0.473652 | + | 0.665150i | ||||
\(306\) | 11.1882 | + | 2.15635i | 0.639586 | + | 0.123270i | ||||
\(307\) | 0.821732 | − | 5.71527i | 0.0468987 | − | 0.326188i | −0.952843 | − | 0.303464i | \(-0.901857\pi\) |
0.999742 | − | 0.0227243i | \(-0.00723400\pi\) | |||||||
\(308\) | 14.0706 | − | 47.0920i | 0.801746 | − | 2.68331i | ||||
\(309\) | 4.12826 | + | 4.76427i | 0.234849 | + | 0.271030i | ||||
\(310\) | 26.1092 | + | 13.4602i | 1.48290 | + | 0.764489i | ||||
\(311\) | 1.32744 | + | 27.8665i | 0.0752724 | + | 1.58016i | 0.648789 | + | 0.760968i | \(0.275276\pi\) |
−0.573517 | + | 0.819194i | \(0.694421\pi\) | |||||||
\(312\) | −11.2139 | + | 2.16130i | −0.634862 | + | 0.122360i | ||||
\(313\) | −10.1963 | − | 9.72218i | −0.576331 | − | 0.549530i | 0.344854 | − | 0.938656i | \(-0.387929\pi\) |
−0.921184 | + | 0.389126i | \(0.872777\pi\) | |||||||
\(314\) | −4.38154 | + | 30.4743i | −0.247265 | + | 1.71976i | ||||
\(315\) | −2.36431 | + | 2.45617i | −0.133214 | + | 0.138389i | ||||
\(316\) | −32.9810 | + | 72.2182i | −1.85532 | + | 4.06259i | ||||
\(317\) | 5.52742 | + | 22.7843i | 0.310451 | + | 1.27970i | 0.886671 | + | 0.462402i | \(0.153012\pi\) |
−0.576220 | + | 0.817295i | \(0.695473\pi\) | |||||||
\(318\) | 1.39411 | + | 0.133122i | 0.0781780 | + | 0.00746509i | ||||
\(319\) | 17.2727 | + | 6.91496i | 0.967088 | + | 0.387163i | ||||
\(320\) | −2.12176 | + | 44.5411i | −0.118610 | + | 2.48993i | ||||
\(321\) | 6.64397 | 0.370830 | ||||||||
\(322\) | −29.4113 | − | 18.8250i | −1.63903 | − | 1.04908i | ||||
\(323\) | 3.50372 | 0.194952 | ||||||||
\(324\) | 0.265220 | − | 5.56765i | 0.0147344 | − | 0.309314i | ||||
\(325\) | −3.59982 | − | 1.44115i | −0.199682 | − | 0.0799407i | ||||
\(326\) | −20.1360 | − | 1.92276i | −1.11523 | − | 0.106492i | ||||
\(327\) | 3.13158 | + | 12.9086i | 0.173177 | + | 0.713845i | ||||
\(328\) | 7.39440 | − | 16.1915i | 0.408287 | − | 0.894024i | ||||
\(329\) | 7.03952 | + | 24.4023i | 0.388101 | + | 1.34534i | ||||
\(330\) | 1.68197 | − | 11.6984i | 0.0925895 | − | 0.643974i | ||||
\(331\) | 5.06221 | + | 4.82681i | 0.278244 | + | 0.265306i | 0.816331 | − | 0.577584i | \(-0.196004\pi\) |
−0.538087 | + | 0.842889i | \(0.680853\pi\) | |||||||
\(332\) | −28.9916 | + | 5.58767i | −1.59112 | + | 0.306663i | ||||
\(333\) | −0.300052 | − | 6.29887i | −0.0164428 | − | 0.345176i | ||||
\(334\) | −24.9071 | − | 12.8405i | −1.36285 | − | 0.702600i | ||||
\(335\) | 2.28357 | + | 2.63538i | 0.124765 | + | 0.143986i | ||||
\(336\) | 28.9235 | + | 30.6238i | 1.57790 | + | 1.67066i | ||||
\(337\) | 0.136563 | − | 0.949819i | 0.00743908 | − | 0.0517400i | −0.985764 | − | 0.168136i | \(-0.946225\pi\) |
0.993203 | + | 0.116396i | \(0.0371342\pi\) | |||||||
\(338\) | −31.4874 | − | 6.06871i | −1.71269 | − | 0.330094i | ||||
\(339\) | −1.87614 | − | 2.63467i | −0.101898 | − | 0.143096i | ||||
\(340\) | −21.5212 | + | 20.5204i | −1.16715 | + | 1.11288i | ||||
\(341\) | −16.0132 | + | 22.4874i | −0.867164 | + | 1.21776i | ||||
\(342\) | −0.331454 | − | 2.30532i | −0.0179230 | − | 0.124657i | ||||
\(343\) | −13.8226 | − | 12.3263i | −0.746348 | − | 0.665555i | ||||
\(344\) | −100.036 | −5.39360 | ||||||||
\(345\) | −5.63806 | − | 2.53005i | −0.303543 | − | 0.136214i | ||||
\(346\) | 23.1948 | − | 40.1746i | 1.24696 | − | 2.15980i | ||||
\(347\) | 8.30221 | − | 4.28008i | 0.445686 | − | 0.229767i | −0.220749 | − | 0.975331i | \(-0.570850\pi\) |
0.666434 | + | 0.745564i | \(0.267820\pi\) | |||||||
\(348\) | −24.4599 | + | 19.2355i | −1.31119 | + | 1.03113i | ||||
\(349\) | −10.2183 | − | 22.3750i | −0.546974 | − | 1.19771i | −0.958181 | − | 0.286164i | \(-0.907620\pi\) |
0.411206 | − | 0.911542i | \(-0.365108\pi\) | |||||||
\(350\) | 4.48860 | + | 23.8990i | 0.239926 | + | 1.27745i | ||||
\(351\) | −0.482333 | + | 1.05616i | −0.0257450 | + | 0.0563738i | ||||
\(352\) | −79.0139 | − | 15.2287i | −4.21145 | − | 0.811691i | ||||
\(353\) | 2.67588 | + | 2.10434i | 0.142423 | + | 0.112003i | 0.686828 | − | 0.726820i | \(-0.259002\pi\) |
−0.544406 | + | 0.838822i | \(0.683245\pi\) | |||||||
\(354\) | 8.97245 | − | 36.9849i | 0.476880 | − | 1.96573i | ||||
\(355\) | 1.53478 | − | 4.43447i | 0.0814579 | − | 0.235357i | ||||
\(356\) | 27.1496 | − | 17.4480i | 1.43892 | − | 0.924741i | ||||
\(357\) | −0.0519922 | + | 10.9537i | −0.00275172 | + | 0.579733i | ||||
\(358\) | −1.53253 | − | 1.76863i | −0.0809966 | − | 0.0934751i | ||||
\(359\) | −15.2318 | − | 14.5235i | −0.803906 | − | 0.766522i | 0.171911 | − | 0.985112i | \(-0.445006\pi\) |
−0.975817 | + | 0.218590i | \(0.929854\pi\) | |||||||
\(360\) | 9.96251 | + | 7.83460i | 0.525070 | + | 0.412920i | ||||
\(361\) | 5.98005 | + | 17.2782i | 0.314740 | + | 0.909380i | ||||
\(362\) | −64.9993 | + | 6.20668i | −3.41629 | + | 0.326216i | ||||
\(363\) | 0.102860 | + | 0.0302025i | 0.00539877 | + | 0.00158522i | ||||
\(364\) | −6.28843 | − | 15.9264i | −0.329603 | − | 0.834771i | ||||
\(365\) | −0.570699 | − | 3.96930i | −0.0298717 | − | 0.207762i | ||||
\(366\) | 1.44923 | − | 30.4231i | 0.0757524 | − | 1.59024i | ||||
\(367\) | −10.0015 | + | 17.3230i | −0.522072 | + | 0.904255i | 0.477598 | + | 0.878578i | \(0.341507\pi\) |
−0.999670 | + | 0.0256768i | \(0.991826\pi\) | |||||||
\(368\) | −34.5400 | + | 68.0963i | −1.80052 | + | 3.54976i | ||||
\(369\) | −0.904854 | − | 1.56725i | −0.0471048 | − | 0.0815880i | ||||
\(370\) | 18.8126 | + | 12.0901i | 0.978019 | + | 0.628535i | ||||
\(371\) | 0.121615 | + | 1.34084i | 0.00631396 | + | 0.0696130i | ||||
\(372\) | −19.1801 | − | 41.9987i | −0.994444 | − | 2.17753i | ||||
\(373\) | 2.25370 | + | 9.28987i | 0.116692 | + | 0.481011i | 0.999927 | + | 0.0120806i | \(0.00384547\pi\) |
−0.883235 | + | 0.468931i | \(0.844639\pi\) | |||||||
\(374\) | −22.0269 | − | 30.9324i | −1.13898 | − | 1.59948i | ||||
\(375\) | 3.51470 | + | 10.1551i | 0.181498 | + | 0.524405i | ||||
\(376\) | 87.6540 | − | 35.0914i | 4.52041 | − | 1.80970i | ||||
\(377\) | 6.21935 | − | 1.82617i | 0.320313 | − | 0.0940524i | ||||
\(378\) | 7.21205 | − | 1.00202i | 0.370948 | − | 0.0515384i | ||||
\(379\) | −10.3513 | + | 6.65240i | −0.531713 | + | 0.341711i | −0.778790 | − | 0.627285i | \(-0.784166\pi\) |
0.247077 | + | 0.968996i | \(0.420530\pi\) | |||||||
\(380\) | 5.40259 | + | 2.78523i | 0.277147 | + | 0.142879i | ||||
\(381\) | −12.0531 | + | 2.32305i | −0.617500 | + | 0.119013i | ||||
\(382\) | −9.28106 | + | 38.2570i | −0.474860 | + | 1.95740i | ||||
\(383\) | −21.4200 | + | 8.57527i | −1.09451 | + | 0.438176i | −0.847478 | − | 0.530831i | \(-0.821880\pi\) |
−0.247033 | + | 0.969007i | \(0.579456\pi\) | |||||||
\(384\) | 30.7449 | − | 35.4815i | 1.56894 | − | 1.81066i | ||||
\(385\) | 11.3516 | − | 0.486753i | 0.578531 | − | 0.0248072i | ||||
\(386\) | −3.05523 | − | 0.897098i | −0.155507 | − | 0.0456611i | ||||
\(387\) | −5.89952 | + | 8.28471i | −0.299889 | + | 0.421135i | ||||
\(388\) | −26.6487 | − | 10.6685i | −1.35288 | − | 0.541612i | ||||
\(389\) | 15.5205 | − | 8.00135i | 0.786918 | − | 0.405685i | −0.0174259 | − | 0.999848i | \(-0.505547\pi\) |
0.804344 | + | 0.594164i | \(0.202517\pi\) | |||||||
\(390\) | −2.05874 | − | 3.56584i | −0.104248 | − | 0.180563i | ||||
\(391\) | −18.7203 | + | 6.61760i | −0.946727 | + | 0.334667i | ||||
\(392\) | −40.4681 | + | 55.7027i | −2.04395 | + | 2.81341i | ||||
\(393\) | 7.14363 | + | 4.59093i | 0.360348 | + | 0.231582i | ||||
\(394\) | 21.3361 | − | 16.7789i | 1.07490 | − | 0.845310i | ||||
\(395\) | −18.2705 | − | 1.74462i | −0.919289 | − | 0.0877815i | ||||
\(396\) | −13.4445 | + | 12.8193i | −0.675613 | + | 0.644196i | ||||
\(397\) | −8.75965 | + | 0.836446i | −0.439634 | + | 0.0419800i | −0.312527 | − | 0.949909i | \(-0.601175\pi\) |
−0.127108 | + | 0.991889i | \(0.540569\pi\) | |||||||
\(398\) | −22.8266 | + | 26.3433i | −1.14420 | + | 1.32047i | ||||
\(399\) | 2.11934 | − | 0.722265i | 0.106100 | − | 0.0361585i | ||||
\(400\) | 51.0167 | − | 14.9799i | 2.55084 | − | 0.748993i | ||||
\(401\) | −2.26840 | + | 6.55410i | −0.113278 | + | 0.327296i | −0.987362 | − | 0.158478i | \(-0.949341\pi\) |
0.874084 | + | 0.485774i | \(0.161462\pi\) | |||||||
\(402\) | −0.354376 | − | 7.43928i | −0.0176747 | − | 0.371037i | ||||
\(403\) | 0.457628 | + | 9.60679i | 0.0227961 | + | 0.478548i | ||||
\(404\) | 12.2137 | − | 35.2892i | 0.607654 | − | 1.75570i | ||||
\(405\) | 1.23636 | − | 0.363029i | 0.0614354 | − | 0.0180391i | ||||
\(406\) | −30.5937 | − | 26.7649i | −1.51834 | − | 1.32832i | ||||
\(407\) | −13.7628 | + | 15.8831i | −0.682196 | + | 0.787296i | ||||
\(408\) | 40.5377 | − | 3.87088i | 2.00691 | − | 0.191637i | ||||
\(409\) | 24.1636 | − | 23.0399i | 1.19481 | − | 1.13925i | 0.207874 | − | 0.978156i | \(-0.433345\pi\) |
0.986939 | − | 0.161096i | \(-0.0515030\pi\) | |||||||
\(410\) | 6.38858 | + | 0.610035i | 0.315509 | + | 0.0301275i | ||||
\(411\) | 12.6658 | − | 9.96048i | 0.624757 | − | 0.491314i | ||||
\(412\) | 29.5604 | + | 18.9973i | 1.45633 | + | 0.935929i | ||||
\(413\) | 36.5372 | + | 1.91434i | 1.79788 | + | 0.0941984i | ||||
\(414\) | 6.12508 | + | 11.6912i | 0.301031 | + | 0.574592i | ||||
\(415\) | −3.41273 | − | 5.91103i | −0.167525 | − | 0.290161i | ||||
\(416\) | −24.9177 | + | 12.8459i | −1.22169 | + | 0.629824i | ||||
\(417\) | 19.1742 | + | 7.67617i | 0.938962 | + | 0.375904i | ||||
\(418\) | −4.50243 | + | 6.32277i | −0.220221 | + | 0.309257i | ||||
\(419\) | 25.4890 | + | 7.48425i | 1.24522 | + | 0.365630i | 0.836974 | − | 0.547242i | \(-0.184322\pi\) |
0.408246 | + | 0.912872i | \(0.366141\pi\) | |||||||
\(420\) | −8.78767 | + | 16.8489i | −0.428794 | + | 0.822140i | ||||
\(421\) | 0.152090 | − | 0.175521i | 0.00741240 | − | 0.00855436i | −0.752031 | − | 0.659127i | \(-0.770926\pi\) |
0.759444 | + | 0.650573i | \(0.225471\pi\) | |||||||
\(422\) | −47.6548 | + | 19.0781i | −2.31980 | + | 0.928707i | ||||
\(423\) | 2.26312 | − | 9.32871i | 0.110037 | − | 0.453577i | ||||
\(424\) | 4.91473 | − | 0.947236i | 0.238680 | − | 0.0460018i | ||||
\(425\) | 12.2895 | + | 6.33570i | 0.596130 | + | 0.307326i | ||||
\(426\) | −8.43128 | + | 5.41845i | −0.408497 | + | 0.262525i | ||||
\(427\) | 29.0022 | − | 4.02948i | 1.40351 | − | 0.195000i | ||||
\(428\) | 35.5331 | − | 10.4335i | 1.71756 | − | 0.504321i | ||||
\(429\) | 3.59242 | − | 1.43819i | 0.173444 | − | 0.0694364i | ||||
\(430\) | −11.7964 | − | 34.0835i | −0.568874 | − | 1.64365i | ||||
\(431\) | −14.2493 | − | 20.0103i | −0.686364 | − | 0.963864i | −0.999898 | − | 0.0142867i | \(-0.995452\pi\) |
0.313534 | − | 0.949577i | \(-0.398487\pi\) | |||||||
\(432\) | −3.75355 | − | 15.4724i | −0.180593 | − | 0.744414i | ||||
\(433\) | 5.20594 | + | 11.3994i | 0.250181 | + | 0.547821i | 0.992503 | − | 0.122223i | \(-0.0390024\pi\) |
−0.742321 | + | 0.670044i | \(0.766275\pi\) | |||||||
\(434\) | 49.2956 | − | 34.7518i | 2.36627 | − | 1.66814i | ||||
\(435\) | −6.05160 | − | 3.88913i | −0.290152 | − | 0.186469i | ||||
\(436\) | 37.0195 | + | 64.1196i | 1.77291 | + | 3.07077i | ||||
\(437\) | 2.52982 | + | 3.17367i | 0.121018 | + | 0.151817i | ||||
\(438\) | −4.28236 | + | 7.41727i | −0.204619 | + | 0.354411i | ||||
\(439\) | −0.272263 | + | 5.71551i | −0.0129944 | + | 0.272786i | 0.983014 | + | 0.183529i | \(0.0587522\pi\) |
−0.996009 | + | 0.0892569i | \(0.971551\pi\) | |||||||
\(440\) | −6.01131 | − | 41.8096i | −0.286578 | − | 1.99319i | ||||
\(441\) | 2.22658 | + | 6.63644i | 0.106027 | + | 0.316021i | ||||
\(442\) | −12.6936 | − | 3.72719i | −0.603775 | − | 0.177284i | ||||
\(443\) | −17.6399 | + | 1.68441i | −0.838097 | + | 0.0800286i | −0.505272 | − | 0.862960i | \(-0.668608\pi\) |
−0.332825 | + | 0.942989i | \(0.608002\pi\) | |||||||
\(444\) | −11.4963 | − | 33.2163i | −0.545589 | − | 1.57638i | ||||
\(445\) | 5.86447 | + | 4.61187i | 0.278002 | + | 0.218623i | ||||
\(446\) | −29.2795 | − | 27.9179i | −1.38642 | − | 1.32195i | ||||
\(447\) | −5.89769 | − | 6.80630i | −0.278951 | − | 0.321927i | ||||
\(448\) | 79.0737 | + | 46.1550i | 3.73588 | + | 2.18062i | ||||
\(449\) | −21.3777 | + | 13.7386i | −1.00888 | + | 0.648366i | −0.937102 | − | 0.349055i | \(-0.886503\pi\) |
−0.0717750 | + | 0.997421i | \(0.522866\pi\) | |||||||
\(450\) | 3.00605 | − | 8.68540i | 0.141706 | − | 0.409434i | ||||
\(451\) | −1.42193 | + | 5.86129i | −0.0669562 | + | 0.275997i | ||||
\(452\) | −14.1713 | − | 11.1445i | −0.666563 | − | 0.524191i | ||||
\(453\) | −15.5764 | − | 3.00211i | −0.731844 | − | 0.141051i | ||||
\(454\) | 15.7060 | − | 34.3914i | 0.737121 | − | 1.61407i | ||||
\(455\) | 3.00382 | − | 2.57797i | 0.140821 | − | 0.120857i | ||||
\(456\) | −3.45785 | − | 7.57163i | −0.161929 | − | 0.354574i | ||||
\(457\) | −17.4866 | + | 13.7516i | −0.817987 | + | 0.643272i | −0.936886 | − | 0.349634i | \(-0.886306\pi\) |
0.118900 | + | 0.992906i | \(0.462063\pi\) | |||||||
\(458\) | 2.00919 | − | 1.03581i | 0.0938833 | − | 0.0484002i | ||||
\(459\) | 2.07008 | − | 3.58549i | 0.0966233 | − | 0.167356i | ||||
\(460\) | −34.1265 | − | 4.67736i | −1.59116 | − | 0.218083i | ||||
\(461\) | 37.8941 | 1.76490 | 0.882451 | − | 0.470404i | \(-0.155892\pi\) | ||||
0.882451 | + | 0.470404i | \(0.155892\pi\) | |||||||
\(462\) | −19.7001 | − | 14.1698i | −0.916533 | − | 0.659239i | ||||
\(463\) | 2.43441 | + | 16.9317i | 0.113136 | + | 0.786882i | 0.964836 | + | 0.262852i | \(0.0846630\pi\) |
−0.851700 | + | 0.524030i | \(0.824428\pi\) | |||||||
\(464\) | −51.5566 | + | 72.4010i | −2.39345 | + | 3.36113i | ||||
\(465\) | 7.72484 | − | 7.36562i | 0.358231 | − | 0.341572i | ||||
\(466\) | −21.4899 | − | 30.1783i | −0.995500 | − | 1.39798i | ||||
\(467\) | 32.7894 | + | 6.31964i | 1.51731 | + | 0.292438i | 0.878807 | − | 0.477178i | \(-0.158340\pi\) |
0.638507 | + | 0.769616i | \(0.279552\pi\) | |||||||
\(468\) | −0.921042 | + | 6.40599i | −0.0425752 | + | 0.296117i | ||||
\(469\) | 6.96606 | − | 1.65498i | 0.321663 | − | 0.0764198i | ||||
\(470\) | 22.2923 | + | 25.7267i | 1.02827 | + | 1.18668i | ||||
\(471\) | 9.94344 | + | 5.12620i | 0.458169 | + | 0.236203i | ||||
\(472\) | −6.47195 | − | 135.863i | −0.297896 | − | 6.25360i | ||||
\(473\) | 33.2834 | − | 6.41485i | 1.53037 | − | 0.294955i | ||||
\(474\) | 28.3699 | + | 27.0506i | 1.30307 | + | 1.24248i | ||||
\(475\) | 0.402215 | − | 2.79747i | 0.0184549 | − | 0.128357i | ||||
\(476\) | 16.9233 | + | 58.6642i | 0.775679 | + | 2.68887i | ||||
\(477\) | 0.211393 | − | 0.462885i | 0.00967900 | − | 0.0211941i | ||||
\(478\) | −3.52620 | − | 14.5352i | −0.161285 | − | 0.664824i | ||||
\(479\) | −29.3383 | − | 2.80146i | −1.34050 | − | 0.128002i | −0.599968 | − | 0.800024i | \(-0.704820\pi\) |
−0.740531 | + | 0.672022i | \(0.765426\pi\) | |||||||
\(480\) | 28.8832 | + | 11.5631i | 1.31833 | + | 0.527781i | ||||
\(481\) | −0.348387 | + | 7.31354i | −0.0158851 | + | 0.333469i | ||||
\(482\) | −41.1455 | −1.87413 | ||||||||
\(483\) | −9.95943 | + | 7.86192i | −0.453170 | + | 0.357730i | ||||
\(484\) | 0.597545 | 0.0271611 | ||||||||
\(485\) | 0.315746 | − | 6.62832i | 0.0143373 | − | 0.300977i | ||||
\(486\) | −2.55495 | − | 1.02285i | −0.115895 | − | 0.0463972i | ||||
\(487\) | 34.4373 | + | 3.28837i | 1.56050 | + | 0.149010i | 0.839283 | − | 0.543694i | \(-0.182975\pi\) |
0.721221 | + | 0.692705i | \(0.243581\pi\) | |||||||
\(488\) | −25.6634 | − | 105.786i | −1.16173 | − | 4.78870i | ||||
\(489\) | −3.05327 | + | 6.68573i | −0.138074 | + | 0.302339i | ||||
\(490\) | −23.7506 | − | 7.21940i | −1.07294 | − | 0.326139i | ||||
\(491\) | −2.16960 | + | 15.0899i | −0.0979127 | + | 0.680998i | 0.880456 | + | 0.474128i | \(0.157237\pi\) |
−0.978369 | + | 0.206870i | \(0.933672\pi\) | |||||||
\(492\) | −7.30049 | − | 6.96100i | −0.329131 | − | 0.313826i | ||||
\(493\) | −22.6953 | + | 4.37417i | −1.02215 | + | 0.197003i | ||||
\(494\) | 0.128671 | + | 2.70113i | 0.00578918 | + | 0.121530i | ||||
\(495\) | −3.81706 | − | 1.96783i | −0.171564 | − | 0.0884473i | ||||
\(496\) | −86.3633 | − | 99.6685i | −3.87782 | − | 4.47525i | ||||
\(497\) | −6.61577 | − | 7.00469i | −0.296758 | − | 0.314203i | ||||
\(498\) | −2.07462 | + | 14.4293i | −0.0929661 | + | 0.646594i | ||||
\(499\) | −10.9514 | − | 2.11072i | −0.490254 | − | 0.0944886i | −0.0618674 | − | 0.998084i | \(-0.519706\pi\) |
−0.428386 | + | 0.903596i | \(0.640918\pi\) | |||||||
\(500\) | 34.7445 | + | 48.7918i | 1.55382 | + | 2.18203i | ||||
\(501\) | −7.36917 | + | 7.02649i | −0.329230 | + | 0.313921i | ||||
\(502\) | −38.1862 | + | 53.6250i | −1.70433 | + | 2.39340i | ||||
\(503\) | −1.68392 | − | 11.7119i | −0.0750823 | − | 0.522209i | −0.992303 | − | 0.123830i | \(-0.960482\pi\) |
0.917221 | − | 0.398378i | \(-0.130427\pi\) | |||||||
\(504\) | 23.7226 | − | 10.6980i | 1.05669 | − | 0.476525i | ||||
\(505\) | 8.63276 | 0.384153 | ||||||||
\(506\) | 12.1143 | − | 42.2863i | 0.538547 | − | 1.87986i | ||||
\(507\) | −5.82594 | + | 10.0908i | −0.258739 | + | 0.448149i | ||||
\(508\) | −60.8142 | + | 31.3519i | −2.69819 | + | 1.39102i | ||||
\(509\) | −7.71560 | + | 6.06762i | −0.341988 | + | 0.268942i | −0.774350 | − | 0.632758i | \(-0.781923\pi\) |
0.432362 | + | 0.901700i | \(0.357680\pi\) | |||||||
\(510\) | 6.09911 | + | 13.3552i | 0.270073 | + | 0.591378i | ||||
\(511\) | −7.76809 | − | 2.72992i | −0.343640 | − | 0.120764i | ||||
\(512\) | 29.5836 | − | 64.7790i | 1.30742 | − | 2.86286i | ||||
\(513\) | −0.830982 | − | 0.160159i | −0.0366888 | − | 0.00707118i | ||||
\(514\) | −3.88924 | − | 3.05853i | −0.171547 | − | 0.134906i | ||||
\(515\) | −1.91510 | + | 7.89415i | −0.0843894 | + | 0.347858i | ||||
\(516\) | −18.5416 | + | 53.5725i | −0.816250 | + | 2.35840i | ||||
\(517\) | −26.9134 | + | 17.2962i | −1.18365 | + | 0.760686i | ||||
\(518\) | 39.8731 | − | 22.7691i | 1.75192 | − | 1.00042i | ||||
\(519\) | −11.0385 | − | 12.7391i | −0.484535 | − | 0.559183i | ||||
\(520\) | −10.6503 | − | 10.1550i | −0.467045 | − | 0.445327i | ||||
\(521\) | 18.2481 | + | 14.3505i | 0.799464 | + | 0.628706i | 0.931994 | − | 0.362473i | \(-0.118068\pi\) |
−0.132530 | + | 0.991179i | \(0.542310\pi\) | |||||||
\(522\) | 5.02503 | + | 14.5189i | 0.219939 | + | 0.635473i | ||||
\(523\) | 37.7051 | − | 3.60040i | 1.64873 | − | 0.157435i | 0.771081 | − | 0.636738i | \(-0.219717\pi\) |
0.877650 | + | 0.479303i | \(0.159110\pi\) | |||||||
\(524\) | 45.4149 | + | 13.3350i | 1.98396 | + | 0.582543i | ||||
\(525\) | 8.73978 | + | 1.29896i | 0.381435 | + | 0.0566913i | ||||
\(526\) | 8.68765 | + | 60.4239i | 0.378800 | + | 2.63461i | ||||
\(527\) | 1.63179 | − | 34.2556i | 0.0710821 | − | 1.49220i | ||||
\(528\) | −26.5306 | + | 45.9523i | −1.15460 | + | 1.99982i | ||||
\(529\) | −19.5110 | − | 12.1787i | −0.848305 | − | 0.529508i | ||||
\(530\) | 0.902285 | + | 1.56280i | 0.0391928 | + | 0.0678839i | ||||
\(531\) | −11.6334 | − | 7.47636i | −0.504848 | − | 0.324446i | ||||
\(532\) | 10.2004 | − | 7.19095i | 0.442244 | − | 0.311767i | ||||
\(533\) | 0.872882 | + | 1.91135i | 0.0378087 | + | 0.0827896i | ||||
\(534\) | −3.75666 | − | 15.4852i | −0.162566 | − | 0.670108i | ||||
\(535\) | 4.96595 | + | 6.97371i | 0.214697 | + | 0.301500i | ||||
\(536\) | −8.70585 | − | 25.1539i | −0.376035 | − | 1.08648i | ||||
\(537\) | −0.789438 | + | 0.316043i | −0.0340668 | + | 0.0136383i | ||||
\(538\) | −77.2059 | + | 22.6697i | −3.32858 | + | 0.977360i | ||||
\(539\) | 9.89232 | − | 21.1281i | 0.426093 | − | 0.910050i | ||||
\(540\) | 6.04221 | − | 3.88309i | 0.260015 | − | 0.167102i | ||||
\(541\) | 33.8690 | + | 17.4607i | 1.45614 | + | 0.750694i | 0.990914 | − | 0.134496i | \(-0.0429416\pi\) |
0.465229 | + | 0.885190i | \(0.345972\pi\) | |||||||
\(542\) | 44.3740 | − | 8.55239i | 1.90603 | − | 0.367356i | ||||
\(543\) | −5.59353 | + | 23.0568i | −0.240041 | + | 0.989464i | ||||
\(544\) | 92.8024 | − | 37.1525i | 3.97887 | − | 1.59290i | ||||
\(545\) | −11.2086 | + | 12.9354i | −0.480122 | + | 0.554090i | ||||
\(546\) | −8.44650 | + | 0.362183i | −0.361477 | + | 0.0155000i | ||||
\(547\) | −19.4652 | − | 5.71550i | −0.832273 | − | 0.244377i | −0.162280 | − | 0.986745i | \(-0.551885\pi\) |
−0.669993 | + | 0.742367i | \(0.733703\pi\) | |||||||
\(548\) | 52.0973 | − | 73.1604i | 2.22549 | − | 3.12526i | ||||
\(549\) | −10.2743 | − | 4.11322i | −0.438498 | − | 0.175548i | ||||
\(550\) | −27.2258 | + | 14.0359i | −1.16091 | + | 0.598493i | ||||
\(551\) | 2.36222 | + | 4.09149i | 0.100634 | + | 0.174303i | ||||
\(552\) | 32.7760 | + | 33.9241i | 1.39504 | + | 1.44391i | ||||
\(553\) | −20.5242 | + | 31.6054i | −0.872776 | + | 1.34400i | ||||
\(554\) | 45.2224 | + | 29.0627i | 1.92132 | + | 1.23476i | ||||
\(555\) | 6.38722 | − | 5.02296i | 0.271122 | − | 0.213213i | ||||
\(556\) | 114.601 | + | 10.9431i | 4.86018 | + | 0.464091i | ||||
\(557\) | 16.5933 | − | 15.8217i | 0.703083 | − | 0.670388i | −0.251662 | − | 0.967815i | \(-0.580977\pi\) |
0.954744 | + | 0.297427i | \(0.0961286\pi\) | |||||||
\(558\) | −22.6932 | + | 2.16694i | −0.960681 | + | 0.0917339i | ||||
\(559\) | 7.73321 | − | 8.92459i | 0.327080 | − | 0.377470i | ||||
\(560\) | −10.5251 | + | 53.2483i | −0.444769 | + | 2.25015i | ||||
\(561\) | −13.2392 | + | 3.88738i | −0.558960 | + | 0.164125i | ||||
\(562\) | 10.2030 | − | 29.4797i | 0.430389 | − | 1.24353i | ||||
\(563\) | −0.827308 | − | 17.3673i | −0.0348669 | − | 0.731946i | −0.946842 | − | 0.321700i | \(-0.895746\pi\) |
0.911975 | − | 0.410246i | \(-0.134557\pi\) | |||||||
\(564\) | −2.54593 | − | 53.4455i | −0.107203 | − | 2.25046i | ||||
\(565\) | 1.36313 | − | 3.93851i | 0.0573473 | − | 0.165694i | ||||
\(566\) | 9.58828 | − | 2.81537i | 0.403026 | − | 0.118339i | ||||
\(567\) | 0.513037 | − | 2.59553i | 0.0215455 | − | 0.109002i | ||||
\(568\) | −23.4566 | + | 27.0704i | −0.984218 | + | 1.13585i | ||||
\(569\) | −24.9901 | + | 2.38627i | −1.04764 | + | 0.100038i | −0.604652 | − | 0.796490i | \(-0.706688\pi\) |
−0.442989 | + | 0.896527i | \(0.646082\pi\) | |||||||
\(570\) | 2.17199 | − | 2.07099i | 0.0909745 | − | 0.0867440i | ||||
\(571\) | −36.5075 | − | 3.48605i | −1.52779 | − | 0.145887i | −0.702946 | − | 0.711243i | \(-0.748133\pi\) |
−0.824847 | + | 0.565356i | \(0.808739\pi\) | |||||||
\(572\) | 16.9544 | − | 13.3331i | 0.708901 | − | 0.557486i | ||||
\(573\) | 12.0336 | + | 7.73351i | 0.502710 | + | 0.323072i | ||||
\(574\) | 7.17660 | − | 11.0513i | 0.299546 | − | 0.461274i | ||||
\(575\) | 3.13465 | + | 15.7065i | 0.130724 | + | 0.655005i | ||||
\(576\) | −17.3029 | − | 29.9695i | −0.720954 | − | 1.24873i | ||||
\(577\) | −11.6812 | + | 6.02210i | −0.486296 | + | 0.250703i | −0.683896 | − | 0.729580i | \(-0.739716\pi\) |
0.197599 | + | 0.980283i | \(0.436685\pi\) | |||||||
\(578\) | 0.360248 | + | 0.144221i | 0.0149843 | + | 0.00599882i | ||||
\(579\) | −0.671138 | + | 0.942481i | −0.0278915 | + | 0.0391682i | ||||
\(580\) | −38.4724 | − | 11.2965i | −1.59748 | − | 0.469062i | ||||
\(581\) | −14.0016 | + | 0.600384i | −0.580884 | + | 0.0249081i | ||||
\(582\) | −9.28115 | + | 10.7110i | −0.384716 | + | 0.443986i | ||||
\(583\) | −1.57445 | + | 0.630316i | −0.0652072 | + | 0.0261050i | ||||
\(584\) | −7.21659 | + | 29.7472i | −0.298625 | + | 1.23095i | ||||
\(585\) | −1.46909 | + | 0.283145i | −0.0607396 | + | 0.0117066i | ||||
\(586\) | 12.9898 | + | 6.69670i | 0.536603 | + | 0.276638i | ||||
\(587\) | 24.6103 | − | 15.8161i | 1.01578 | − | 0.652800i | 0.0768947 | − | 0.997039i | \(-0.475499\pi\) |
0.938882 | + | 0.344239i | \(0.111863\pi\) | |||||||
\(588\) | 22.3298 | + | 31.9963i | 0.920865 | + | 1.31951i | ||||
\(589\) | −6.72604 | + | 1.97494i | −0.277141 | + | 0.0813761i | ||||
\(590\) | 45.5269 | − | 18.2262i | 1.87431 | − | 0.750361i | ||||
\(591\) | −3.22582 | − | 9.32039i | −0.132692 | − | 0.383390i | ||||
\(592\) | −58.2372 | − | 81.7826i | −2.39353 | − | 3.36125i | ||||
\(593\) | −6.63107 | − | 27.3336i | −0.272305 | − | 1.12246i | −0.929525 | − | 0.368759i | \(-0.879783\pi\) |
0.657220 | − | 0.753699i | \(-0.271732\pi\) | |||||||
\(594\) | 3.81019 | + | 8.34314i | 0.156334 | + | 0.342323i | ||||
\(595\) | −11.5362 | + | 8.13267i | −0.472939 | + | 0.333407i | ||||
\(596\) | −42.2303 | − | 27.1398i | −1.72982 | − | 1.11169i | ||||
\(597\) | 6.33288 | + | 10.9689i | 0.259188 | + | 0.448926i | ||||
\(598\) | −5.78921 | − | 14.1891i | −0.236738 | − | 0.580234i | ||||
\(599\) | −7.25343 | + | 12.5633i | −0.296367 | + | 0.513323i | −0.975302 | − | 0.220876i | \(-0.929108\pi\) |
0.678935 | + | 0.734198i | \(0.262442\pi\) | |||||||
\(600\) | 1.56297 | − | 32.8107i | 0.0638079 | − | 1.33949i | ||||
\(601\) | 2.68345 | + | 18.6638i | 0.109460 | + | 0.761312i | 0.968430 | + | 0.249286i | \(0.0801958\pi\) |
−0.858970 | + | 0.512026i | \(0.828895\pi\) | |||||||
\(602\) | −73.2507 | − | 10.8870i | −2.98548 | − | 0.443720i | ||||
\(603\) | −2.59659 | − | 0.762427i | −0.105741 | − | 0.0310484i | ||||
\(604\) | −88.0199 | + | 8.40488i | −3.58148 | + | 0.341990i | ||||
\(605\) | 0.0451803 | + | 0.130540i | 0.00183684 | + | 0.00530720i | ||||
\(606\) | −14.4930 | − | 11.3974i | −0.588738 | − | 0.462989i | ||||
\(607\) | −8.77450 | − | 8.36647i | −0.356146 | − | 0.339585i | 0.490791 | − | 0.871277i | \(-0.336708\pi\) |
−0.846937 | + | 0.531693i | \(0.821556\pi\) | |||||||
\(608\) | −13.3808 | − | 15.4423i | −0.542663 | − | 0.626266i | ||||
\(609\) | −12.8263 | + | 7.32433i | −0.519749 | + | 0.296797i | ||||
\(610\) | 33.0162 | − | 21.2182i | 1.33679 | − | 0.859100i | ||||
\(611\) | −3.64538 | + | 10.5326i | −0.147476 | + | 0.426104i | ||||
\(612\) | 5.44065 | − | 22.4266i | 0.219925 | − | 0.906544i | ||||
\(613\) | −30.3170 | − | 23.8415i | −1.22449 | − | 0.962950i | −0.224557 | − | 0.974461i | \(-0.572093\pi\) |
−0.999934 | + | 0.0115111i | \(0.996336\pi\) | |||||||
\(614\) | −15.6035 | − | 3.00733i | −0.629706 | − | 0.121366i | ||||
\(615\) | 0.968714 | − | 2.12119i | 0.0390623 | − | 0.0855345i | ||||
\(616\) | −81.8232 | − | 28.7549i | −3.29675 | − | 1.15857i | ||||
\(617\) | 4.12397 | + | 9.03023i | 0.166025 | + | 0.363543i | 0.974298 | − | 0.225265i | \(-0.0723247\pi\) |
−0.808273 | + | 0.588808i | \(0.799597\pi\) | |||||||
\(618\) | 13.6374 | − | 10.7246i | 0.548577 | − | 0.431406i | ||||
\(619\) | 15.0011 | − | 7.73363i | 0.602947 | − | 0.310841i | −0.129590 | − | 0.991568i | \(-0.541366\pi\) |
0.732537 | + | 0.680727i | \(0.238336\pi\) | |||||||
\(620\) | 29.7471 | − | 51.5235i | 1.19467 | − | 2.06923i | ||||
\(621\) | 4.74242 | − | 0.713781i | 0.190307 | − | 0.0286430i | ||||
\(622\) | 76.7778 | 3.07851 | ||||||||
\(623\) | 13.9644 | − | 6.29739i | 0.559472 | − | 0.252300i | ||||
\(624\) | 2.63081 | + | 18.2977i | 0.105317 | + | 0.732494i | ||||
\(625\) | 1.65378 | − | 2.32242i | 0.0661514 | − | 0.0928966i | ||||
\(626\) | −28.0612 | + | 26.7563i | −1.12155 | + | 1.06940i | ||||
\(627\) | 1.63601 | + | 2.29745i | 0.0653358 | + | 0.0917513i | ||||
\(628\) | 61.2293 | + | 11.8010i | 2.44332 | + | 0.470910i | ||||
\(629\) | 3.71555 | − | 25.8422i | 0.148149 | − | 1.03040i | ||||
\(630\) | 6.44232 | + | 6.82104i | 0.256668 | + | 0.271757i | ||||
\(631\) | 2.29109 | + | 2.64406i | 0.0912070 | + | 0.105259i | 0.799518 | − | 0.600642i | \(-0.205088\pi\) |
−0.708311 | + | 0.705900i | \(0.750543\pi\) | |||||||
\(632\) | 124.523 | + | 64.1962i | 4.95327 | + | 2.55359i | ||||
\(633\) | 0.887496 | + | 18.6308i | 0.0352748 | + | 0.740509i | ||||
\(634\) | 63.3572 | − | 12.2111i | 2.51624 | − | 0.484965i | ||||
\(635\) | −11.4473 | − | 10.9150i | −0.454272 | − | 0.433148i | ||||
\(636\) | 0.403666 | − | 2.80756i | 0.0160064 | − | 0.111327i | ||||
\(637\) | −1.84109 | − | 7.91634i | −0.0729467 | − | 0.313657i | ||||
\(638\) | 21.2709 | − | 46.5767i | 0.842121 | − | 1.84399i | ||||
\(639\) | 0.858565 | + | 3.53905i | 0.0339643 | + | 0.140003i | ||||
\(640\) | 60.2224 | + | 5.75054i | 2.38050 | + | 0.227310i | ||||
\(641\) | −28.4978 | − | 11.4088i | −1.12560 | − | 0.450621i | −0.267217 | − | 0.963636i | \(-0.586104\pi\) |
−0.858379 | + | 0.513016i | \(0.828528\pi\) | |||||||
\(642\) | 0.870023 | − | 18.2640i | 0.0343371 | − | 0.720824i | ||||
\(643\) | −45.8910 | −1.80977 | −0.904883 | − | 0.425661i | \(-0.860042\pi\) | ||||
−0.904883 | + | 0.425661i | \(0.860042\pi\) | |||||||
\(644\) | −40.9187 | + | 57.6869i | −1.61242 | + | 2.27318i | ||||
\(645\) | −13.1054 | −0.516025 | ||||||||
\(646\) | 0.458811 | − | 9.63162i | 0.0180517 | − | 0.378951i | ||||
\(647\) | 36.1601 | + | 14.4763i | 1.42160 | + | 0.569123i | 0.949877 | − | 0.312623i | \(-0.101208\pi\) |
0.471724 | + | 0.881746i | \(0.343632\pi\) | |||||||
\(648\) | −9.79131 | − | 0.934957i | −0.384639 | − | 0.0367286i | ||||
\(649\) | 10.8656 | + | 44.7884i | 0.426510 | + | 1.75810i | ||||
\(650\) | −4.43307 | + | 9.70707i | −0.173879 | + | 0.380743i | ||||
\(651\) | −6.07448 | − | 21.0570i | −0.238077 | − | 0.825288i | ||||
\(652\) | −5.83039 | + | 40.5512i | −0.228336 | + | 1.58811i | ||||
\(653\) | −5.00188 | − | 4.76929i | −0.195739 | − | 0.186637i | 0.585871 | − | 0.810404i | \(-0.300753\pi\) |
−0.781610 | + | 0.623768i | \(0.785601\pi\) | |||||||
\(654\) | 35.8953 | − | 6.91825i | 1.40362 | − | 0.270525i | ||||
\(655\) | 0.520641 | + | 10.9296i | 0.0203431 | + | 0.427055i | ||||
\(656\) | −25.6097 | − | 13.2027i | −0.999891 | − | 0.515480i | ||||
\(657\) | 2.03798 | + | 2.35196i | 0.0795093 | + | 0.0917587i | ||||
\(658\) | 68.0028 | − | 16.1559i | 2.65103 | − | 0.629824i | ||||
\(659\) | 1.87122 | − | 13.0146i | 0.0728924 | − | 0.506978i | −0.920366 | − | 0.391058i | \(-0.872109\pi\) |
0.993259 | − | 0.115920i | \(-0.0369816\pi\) | |||||||
\(660\) | −23.5045 | − | 4.53012i | −0.914912 | − | 0.176335i | ||||
\(661\) | −18.9966 | − | 26.6770i | −0.738882 | − | 1.03761i | −0.997432 | − | 0.0716165i | \(-0.977184\pi\) |
0.258550 | − | 0.965998i | \(-0.416755\pi\) | |||||||
\(662\) | 13.9316 | − | 13.2838i | 0.541468 | − | 0.516289i | ||||
\(663\) | −2.78839 | + | 3.91575i | −0.108292 | + | 0.152075i | ||||
\(664\) | 7.41464 | + | 51.5699i | 0.287744 | + | 2.00130i | ||||
\(665\) | 2.34219 | + | 1.68468i | 0.0908262 | + | 0.0653290i | ||||
\(666\) | −17.3547 | −0.672480 | ||||||||
\(667\) | −20.3490 | − | 17.3991i | −0.787917 | − | 0.673696i | ||||
\(668\) | −28.3775 | + | 49.1513i | −1.09796 | + | 1.90172i | ||||
\(669\) | −13.0661 | + | 6.73602i | −0.505163 | + | 0.260429i | ||||
\(670\) | 7.54361 | − | 5.93236i | 0.291435 | − | 0.229187i | ||||
\(671\) | 15.3221 | + | 33.5507i | 0.591503 | + | 1.29521i | ||||
\(672\) | 48.4759 | − | 41.6034i | 1.87000 | − | 1.60488i | ||||
\(673\) | 5.62334 | − | 12.3134i | 0.216764 | − | 0.474647i | −0.769746 | − | 0.638351i | \(-0.779617\pi\) |
0.986510 | + | 0.163704i | \(0.0523442\pi\) | |||||||
\(674\) | −2.59314 | − | 0.499786i | −0.0998840 | − | 0.0192511i | ||||
\(675\) | −2.62511 | − | 2.06441i | −0.101041 | − | 0.0794592i | ||||
\(676\) | −15.3119 | + | 63.1164i | −0.588918 | + | 2.42755i | ||||
\(677\) | 4.55564 | − | 13.1626i | 0.175087 | − | 0.505882i | −0.822977 | − | 0.568075i | \(-0.807688\pi\) |
0.998064 | + | 0.0621934i | \(0.0198096\pi\) | |||||||
\(678\) | −7.48830 | + | 4.81244i | −0.287586 | + | 0.184820i | ||||
\(679\) | −11.7672 | − | 6.86849i | −0.451585 | − | 0.263588i | ||||
\(680\) | 34.3624 | + | 39.6563i | 1.31774 | + | 1.52075i | ||||
\(681\) | −9.94264 | − | 9.48029i | −0.381003 | − | 0.363286i | ||||
\(682\) | 59.7202 | + | 46.9645i | 2.28681 | + | 1.79836i | ||||
\(683\) | −7.50151 | − | 21.6742i | −0.287037 | − | 0.829339i | −0.992680 | − | 0.120772i | \(-0.961463\pi\) |
0.705643 | − | 0.708567i | \(-0.250658\pi\) | |||||||
\(684\) | −4.69575 | + | 0.448390i | −0.179547 | + | 0.0171446i | ||||
\(685\) | 19.9217 | + | 5.84954i | 0.761170 | + | 0.223500i | ||||
\(686\) | −35.6945 | + | 36.3837i | −1.36282 | + | 1.38913i | ||||
\(687\) | −0.116893 | − | 0.813008i | −0.00445974 | − | 0.0310182i | ||||
\(688\) | −7.70482 | + | 161.744i | −0.293743 | + | 6.16643i | ||||
\(689\) | −0.295422 | + | 0.511685i | −0.0112547 | + | 0.0194937i | ||||
\(690\) | −7.69334 | + | 15.1675i | −0.292880 | + | 0.577418i | ||||
\(691\) | 7.96497 | + | 13.7957i | 0.303002 | + | 0.524814i | 0.976814 | − | 0.214088i | \(-0.0686779\pi\) |
−0.673813 | + | 0.738902i | \(0.735345\pi\) | |||||||
\(692\) | −79.0407 | − | 50.7964i | −3.00468 | − | 1.93099i | ||||
\(693\) | −7.20682 | + | 5.08057i | −0.273764 | + | 0.192995i | ||||
\(694\) | −10.6786 | − | 23.3830i | −0.405356 | − | 0.887605i | ||||
\(695\) | 6.27435 | + | 25.8632i | 0.238000 | + | 0.981049i | ||||
\(696\) | 31.8509 | + | 44.7283i | 1.20730 | + | 1.69542i | ||||
\(697\) | −2.45056 | − | 7.08042i | −0.0928214 | − | 0.268190i | ||||
\(698\) | −62.8462 | + | 25.1598i | −2.37876 | + | 0.952314i | ||||
\(699\) | −12.9165 | + | 3.79262i | −0.488546 | + | 0.143450i | ||||
\(700\) | 48.7818 | − | 6.77759i | 1.84378 | − | 0.256169i | ||||
\(701\) | −6.58261 | + | 4.23039i | −0.248622 | + | 0.159780i | −0.659017 | − | 0.752128i | \(-0.729027\pi\) |
0.410395 | + | 0.911908i | \(0.365391\pi\) | |||||||
\(702\) | 2.84019 | + | 1.46422i | 0.107196 | + | 0.0552635i | ||||
\(703\) | −5.24019 | + | 1.00996i | −0.197637 | + | 0.0380915i | ||||
\(704\) | −27.1906 | + | 112.081i | −1.02479 | + | 4.22422i | ||||
\(705\) | 11.4832 | − | 4.59719i | 0.432484 | − | 0.173140i | ||||
\(706\) | 6.13516 | − | 7.08035i | 0.230900 | − | 0.266472i | ||||
\(707\) | 8.19690 | − | 15.7162i | 0.308276 | − | 0.591067i | ||||
\(708\) | −73.9584 | − | 21.7161i | −2.77953 | − | 0.816142i | ||||
\(709\) | 18.9185 | − | 26.5674i | 0.710500 | − | 0.997758i | −0.288686 | − | 0.957424i | \(-0.593218\pi\) |
0.999186 | − | 0.0403343i | \(-0.0128423\pi\) | |||||||
\(710\) | −11.9892 | − | 4.79976i | −0.449948 | − | 0.180132i | ||||
\(711\) | 12.6601 | − | 6.52675i | 0.474792 | − | 0.244772i | ||||
\(712\) | −28.4744 | − | 49.3190i | −1.06712 | − | 1.84831i | ||||
\(713\) | 32.2069 | − | 23.2558i | 1.20616 | − | 0.870935i | ||||
\(714\) | 30.1046 | + | 1.57731i | 1.12664 | + | 0.0590293i | ||||
\(715\) | 4.19468 | + | 2.69576i | 0.156872 | + | 0.100816i | ||||
\(716\) | −3.72575 | + | 2.92996i | −0.139238 | + | 0.109498i | ||||
\(717\) | −5.41011 | − | 0.516603i | −0.202044 | − | 0.0192929i | ||||
\(718\) | −41.9193 | + | 39.9700i | −1.56441 | + | 1.49167i | ||||
\(719\) | 38.7779 | − | 3.70284i | 1.44617 | − | 0.138093i | 0.657753 | − | 0.753234i | \(-0.271507\pi\) |
0.788417 | + | 0.615141i | \(0.210901\pi\) | |||||||
\(720\) | 13.4347 | − | 15.5045i | 0.500682 | − | 0.577818i | ||||
\(721\) | 12.5531 | + | 10.9821i | 0.467501 | + | 0.408993i | ||||
\(722\) | 48.2803 | − | 14.1764i | 1.79681 | − | 0.527590i | ||||
\(723\) | −4.88989 | + | 14.1284i | −0.181857 | + | 0.525441i | ||||
\(724\) | 6.29251 | + | 132.096i | 0.233859 | + | 4.90931i | ||||
\(725\) | 0.887108 | + | 18.6227i | 0.0329464 | + | 0.691630i | ||||
\(726\) | 0.0964953 | − | 0.278805i | 0.00358128 | − | 0.0103474i | ||||
\(727\) | −20.5300 | + | 6.02814i | −0.761415 | + | 0.223572i | −0.639314 | − | 0.768946i | \(-0.720781\pi\) |
−0.122101 | + | 0.992518i | \(0.538963\pi\) | |||||||
\(728\) | −28.6000 | + | 9.74679i | −1.05999 | + | 0.361240i | ||||
\(729\) | −0.654861 | + | 0.755750i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | −10.9862 | + | 1.04905i | −0.406617 | + | 0.0388272i | ||||
\(731\) | −30.4749 | + | 29.0578i | −1.12716 | + | 1.07474i | ||||
\(732\) | −61.4083 | − | 5.86378i | −2.26971 | − | 0.216731i | ||||
\(733\) | −0.200198 | + | 0.157437i | −0.00739447 | + | 0.00581508i | −0.621849 | − | 0.783137i | \(-0.713618\pi\) |
0.614455 | + | 0.788952i | \(0.289376\pi\) | |||||||
\(734\) | 46.3108 | + | 29.7621i | 1.70936 | + | 1.09854i | ||||
\(735\) | −5.30158 | + | 7.29741i | −0.195552 | + | 0.269169i | ||||
\(736\) | 100.660 | + | 57.2349i | 3.71036 | + | 2.10970i | ||||
\(737\) | 4.50955 | + | 7.81078i | 0.166112 | + | 0.287714i | ||||
\(738\) | −4.42682 | + | 2.28218i | −0.162953 | + | 0.0840083i | ||||
\(739\) | 3.94213 | + | 1.57819i | 0.145013 | + | 0.0580546i | 0.443034 | − | 0.896505i | \(-0.353902\pi\) |
−0.298020 | + | 0.954559i | \(0.596326\pi\) | |||||||
\(740\) | 26.2721 | − | 36.8940i | 0.965781 | − | 1.35625i | ||||
\(741\) | 0.942798 | + | 0.276830i | 0.0346345 | + | 0.0101696i | ||||
\(742\) | 3.70185 | − | 0.158734i | 0.135899 | − | 0.00582732i | ||||
\(743\) | 26.9581 | − | 31.1113i | 0.988997 | − | 1.14136i | −0.000960263 | − | 1.00000i | \(-0.500306\pi\) |
0.989958 | − | 0.141364i | \(-0.0451489\pi\) | |||||||
\(744\) | −75.6376 | + | 30.2807i | −2.77301 | + | 1.11014i | ||||
\(745\) | 2.73594 | − | 11.2777i | 0.100237 | − | 0.413182i | ||||
\(746\) | 25.8327 | − | 4.97884i | 0.945801 | − | 0.182288i | ||||
\(747\) | 4.70814 | + | 2.42721i | 0.172262 | + | 0.0888071i | ||||
\(748\) | −64.7011 | + | 41.5809i | −2.36571 | + | 1.52035i | ||||
\(749\) | 17.4110 | − | 2.41904i | 0.636185 | − | 0.0883897i | ||||
\(750\) | 28.3762 | − | 8.33200i | 1.03615 | − | 0.304242i | ||||
\(751\) | 4.68873 | − | 1.87708i | 0.171094 | − | 0.0684957i | −0.284534 | − | 0.958666i | \(-0.591839\pi\) |
0.455628 | + | 0.890170i | \(0.349415\pi\) | |||||||
\(752\) | −49.9864 | − | 144.426i | −1.82282 | − | 5.26668i | ||||
\(753\) | 13.8754 | + | 19.4852i | 0.505647 | + | 0.710081i | ||||
\(754\) | −4.20565 | − | 17.3359i | −0.153161 | − | 0.631337i | ||||
\(755\) | −8.49130 | − | 18.5934i | −0.309030 | − | 0.676682i | ||||
\(756\) | −1.33213 | − | 14.6870i | −0.0484489 | − | 0.534162i | ||||
\(757\) | 1.81118 | + | 1.16398i | 0.0658285 | + | 0.0423054i | 0.573141 | − | 0.819457i | \(-0.305725\pi\) |
−0.507313 | + | 0.861762i | \(0.669361\pi\) | |||||||
\(758\) | 16.9317 | + | 29.3266i | 0.614988 | + | 1.06519i | ||||
\(759\) | −13.0804 | − | 9.18523i | −0.474789 | − | 0.333403i | ||||
\(760\) | 5.36289 | − | 9.28879i | 0.194532 | − | 0.336940i | ||||
\(761\) | −0.632494 | + | 13.2777i | −0.0229279 | + | 0.481316i | 0.957979 | + | 0.286838i | \(0.0926042\pi\) |
−0.980907 | + | 0.194478i | \(0.937699\pi\) | |||||||
\(762\) | 4.80763 | + | 33.4378i | 0.174162 | + | 1.21132i | ||||
\(763\) | 12.9065 | + | 32.6877i | 0.467247 | + | 1.18338i | ||||
\(764\) | 76.5022 | + | 22.4631i | 2.76775 | + | 0.812685i | ||||
\(765\) | 5.31070 | − | 0.507110i | 0.192009 | − | 0.0183346i | ||||
\(766\) | 20.7682 | + | 60.0058i | 0.750385 | + | 2.16810i | ||||
\(767\) | 12.6211 | + | 9.92536i | 0.455722 | + | 0.358384i | ||||
\(768\) | −43.4206 | − | 41.4015i | −1.56681 | − | 1.49395i | ||||
\(769\) | −10.1032 | − | 11.6597i | −0.364330 | − | 0.420459i | 0.543756 | − | 0.839244i | \(-0.317002\pi\) |
−0.908086 | + | 0.418784i | \(0.862456\pi\) | |||||||
\(770\) | 0.148419 | − | 31.2689i | 0.00534864 | − | 1.12685i | ||||
\(771\) | −1.51244 | + | 0.971985i | −0.0544691 | + | 0.0350052i | ||||
\(772\) | −2.10932 | + | 6.09449i | −0.0759163 | + | 0.219346i | ||||
\(773\) | −4.35225 | + | 17.9402i | −0.156539 | + | 0.645264i | 0.838423 | + | 0.545019i | \(0.183478\pi\) |
−0.994963 | + | 0.100245i | \(0.968037\pi\) | |||||||
\(774\) | 22.0019 | + | 17.3024i | 0.790840 | + | 0.621924i | ||||
\(775\) | −27.1632 | − | 5.23528i | −0.975732 | − | 0.188057i | ||||
\(776\) | −21.0419 | + | 46.0754i | −0.755361 | + | 1.65401i | ||||
\(777\) | −3.07970 | − | 16.3974i | −0.110484 | − | 0.588255i | ||||
\(778\) | −19.9631 | − | 43.7130i | −0.715710 | − | 1.56719i | ||||
\(779\) | −1.20385 | + | 0.946718i | −0.0431324 | + | 0.0339197i | ||||
\(780\) | −7.41234 | + | 3.82133i | −0.265404 | + | 0.136825i | ||||
\(781\) | 6.06844 | − | 10.5108i | 0.217146 | − | 0.376108i | ||||
\(782\) | 15.7402 | + | 52.3281i | 0.562867 | + | 1.87125i | ||||
\(783\) | 5.58263 | 0.199507 | ||||||||
\(784\) | 86.9462 | + | 69.7211i | 3.10522 | + | 2.49004i | ||||
\(785\) | 2.05149 | + | 14.2684i | 0.0732209 | + | 0.509263i | ||||
\(786\) | 13.5558 | − | 19.0364i | 0.483518 | − | 0.679007i | ||||
\(787\) | −24.7790 | + | 23.6267i | −0.883275 | + | 0.842201i | −0.988340 | − | 0.152264i | \(-0.951344\pi\) |
0.105065 | + | 0.994465i | \(0.466495\pi\) | |||||||
\(788\) | −31.8887 | − | 44.7814i | −1.13599 | − | 1.59527i | ||||
\(789\) | 21.7806 | + | 4.19787i | 0.775411 | + | 0.149448i | ||||
\(790\) | −7.18842 | + | 49.9966i | −0.255752 | + | 1.77880i | ||||
\(791\) | −5.87584 | − | 6.22127i | −0.208921 | − | 0.221203i | ||||
\(792\) | 21.4666 | + | 24.7738i | 0.762782 | + | 0.880298i | ||||
\(793\) | 11.4214 | + | 5.88815i | 0.405586 | + | 0.209094i | ||||
\(794\) | 1.15229 | + | 24.1895i | 0.0408932 | + | 0.858454i | ||||
\(795\) | 0.643861 | − | 0.124094i | 0.0228354 | − | 0.00440116i | ||||
\(796\) | 51.0945 | + | 48.7186i | 1.81100 | + | 1.72678i | ||||
\(797\) | 2.29590 | − | 15.9683i | 0.0813248 | − | 0.565626i | −0.907896 | − | 0.419195i | \(-0.862312\pi\) |
0.989221 | − | 0.146431i | \(-0.0467786\pi\) | |||||||
\(798\) | −1.70796 | − | 5.92058i | −0.0604610 | − | 0.209586i | ||||
\(799\) | 16.5097 | − | 36.1512i | 0.584072 | − | 1.27894i | ||||
\(800\) | −19.0101 | − | 78.3608i | −0.672110 | − | 2.77047i | ||||
\(801\) | −5.76369 | − | 0.550366i | −0.203650 | − | 0.0194462i | ||||
\(802\) | 17.7199 | + | 7.09400i | 0.625713 | + | 0.250498i | ||||
\(803\) | 0.493510 | − | 10.3601i | 0.0174156 | − | 0.365598i | ||||
\(804\) | −15.0843 | −0.531983 | ||||||||
\(805\) | −15.6962 | − | 4.57742i | −0.553217 | − | 0.161333i | ||||
\(806\) | 26.4687 | 0.932319 | ||||||||
\(807\) | −1.39120 | + | 29.2048i | −0.0489725 | + | 1.02806i | ||||
\(808\) | −61.1754 | − | 24.4910i | −2.15214 | − | 0.861589i | ||||
\(809\) | 32.5068 | + | 3.10402i | 1.14288 | + | 0.109132i | 0.649274 | − | 0.760555i | \(-0.275073\pi\) |
0.493604 | + | 0.869687i | \(0.335679\pi\) | |||||||
\(810\) | −0.836054 | − | 3.44626i | −0.0293760 | − | 0.121089i | ||||
\(811\) | 0.0382270 | − | 0.0837056i | 0.00134233 | − | 0.00293930i | −0.908960 | − | 0.416884i | \(-0.863122\pi\) |
0.910302 | + | 0.413945i | \(0.135849\pi\) | |||||||
\(812\) | −57.0956 | + | 59.3138i | −2.00366 | + | 2.08151i | ||||
\(813\) | 2.33688 | − | 16.2534i | 0.0819581 | − | 0.570031i | ||||
\(814\) | 41.8599 | + | 39.9133i | 1.46719 | + | 1.39896i | ||||
\(815\) | −9.29968 | + | 1.79237i | −0.325753 | + | 0.0627838i | ||||
\(816\) | −3.13642 | − | 65.8416i | −0.109797 | − | 2.30492i | ||||
\(817\) | 7.65031 | + | 3.94401i | 0.267650 | + | 0.137983i | ||||
\(818\) | −60.1718 | − | 69.4420i | −2.10386 | − | 2.42798i | ||||
\(819\) | −0.879448 | + | 2.94337i | −0.0307304 | + | 0.102850i | ||||
\(820\) | 1.84981 | − | 12.8657i | 0.0645983 | − | 0.449291i | ||||
\(821\) | −37.4582 | − | 7.21948i | −1.30730 | − | 0.251962i | −0.512424 | − | 0.858732i | \(-0.671252\pi\) |
−0.794877 | + | 0.606771i | \(0.792465\pi\) | |||||||
\(822\) | −25.7225 | − | 36.1221i | −0.897174 | − | 1.25990i | ||||
\(823\) | 33.0285 | − | 31.4926i | 1.15130 | − | 1.09776i | 0.157394 | − | 0.987536i | \(-0.449691\pi\) |
0.993906 | − | 0.110227i | \(-0.0351578\pi\) | |||||||
\(824\) | 35.9667 | − | 50.5082i | 1.25296 | − | 1.75954i | ||||
\(825\) | 1.58398 | + | 11.0168i | 0.0551470 | + | 0.383556i | ||||
\(826\) | 10.0470 | − | 100.189i | 0.349579 | − | 3.48601i | ||||
\(827\) | −10.2095 | −0.355020 | −0.177510 | − | 0.984119i | \(-0.556804\pi\) | ||||
−0.177510 | + | 0.984119i | \(0.556804\pi\) | |||||||
\(828\) | 24.2424 | − | 11.2648i | 0.842482 | − | 0.391478i | ||||
\(829\) | 10.0511 | − | 17.4091i | 0.349090 | − | 0.604642i | −0.636998 | − | 0.770866i | \(-0.719824\pi\) |
0.986088 | + | 0.166223i | \(0.0531573\pi\) | |||||||
\(830\) | −16.6961 | + | 8.60745i | −0.579531 | + | 0.298769i | ||||
\(831\) | 15.3539 | − | 12.0744i | 0.532619 | − | 0.418856i | ||||
\(832\) | 16.6915 | + | 36.5493i | 0.578674 | + | 1.26712i | ||||
\(833\) | 3.85195 | + | 28.7241i | 0.133462 | + | 0.995230i | ||||
\(834\) | 23.6124 | − | 51.7039i | 0.817630 | − | 1.79036i | ||||
\(835\) | −12.8832 | − | 2.48304i | −0.445842 | − | 0.0859291i | ||||
\(836\) | 12.3575 | + | 9.71804i | 0.427393 | + | 0.336105i | ||||
\(837\) | −1.95287 | + | 8.04985i | −0.0675011 | + | 0.278243i | ||||
\(838\) | 23.9117 | − | 69.0884i | 0.826017 | − | 2.38662i | ||||
\(839\) | 19.8968 | − | 12.7869i | 0.686915 | − | 0.441453i | −0.150073 | − | 0.988675i | \(-0.547951\pi\) |
0.836988 | + | 0.547222i | \(0.184315\pi\) | |||||||
\(840\) | 28.9601 | + | 16.9039i | 0.999217 | + | 0.583240i | ||||
\(841\) | −1.41825 | − | 1.63675i | −0.0489053 | − | 0.0564397i | ||||
\(842\) | −0.462585 | − | 0.441074i | −0.0159417 | − | 0.0152004i | ||||
\(843\) | −8.91008 | − | 7.00696i | −0.306879 | − | 0.241333i | ||||
\(844\) | 34.0037 | + | 98.2474i | 1.17046 | + | 3.38181i | ||||
\(845\) | −14.9462 | + | 1.42719i | −0.514164 | + | 0.0490967i | ||||
\(846\) | −25.3480 | − | 7.44283i | −0.871481 | − | 0.255890i | ||||
\(847\) | 0.280550 | + | 0.0416972i | 0.00963983 | + | 0.00143273i | ||||
\(848\) | −1.15301 | − | 8.01935i | −0.0395945 | − | 0.275385i | ||||
\(849\) | 0.172774 | − | 3.62698i | 0.00592960 | − | 0.124478i | ||||
\(850\) | 19.0259 | − | 32.9539i | 0.652584 | − | 1.13031i | ||||
\(851\) | 26.0906 | − | 15.2935i | 0.894376 | − | 0.524256i | ||||
\(852\) | 10.1494 | + | 17.5792i | 0.347712 | + | 0.602254i | ||||
\(853\) | −27.0757 | − | 17.4005i | −0.927054 | − | 0.595781i | −0.0123575 | − | 0.999924i | \(-0.503934\pi\) |
−0.914696 | + | 0.404142i | \(0.867570\pi\) | |||||||
\(854\) | −7.27907 | − | 80.2537i | −0.249085 | − | 2.74623i | ||||
\(855\) | −0.453001 | − | 0.991933i | −0.0154923 | − | 0.0339234i | ||||
\(856\) | −15.4066 | − | 63.5070i | −0.526588 | − | 2.17062i | ||||
\(857\) | 1.30129 | + | 1.82741i | 0.0444513 | + | 0.0624232i | 0.836203 | − | 0.548419i | \(-0.184770\pi\) |
−0.791752 | + | 0.610843i | \(0.790831\pi\) | |||||||
\(858\) | −3.48311 | − | 10.0638i | −0.118911 | − | 0.343572i | ||||
\(859\) | −20.8656 | + | 8.35334i | −0.711927 | + | 0.285012i | −0.699220 | − | 0.714907i | \(-0.746469\pi\) |
−0.0127069 | + | 0.999919i | \(0.504045\pi\) | |||||||
\(860\) | −70.0901 | + | 20.5803i | −2.39005 | + | 0.701782i | ||||
\(861\) | −2.94187 | − | 3.77766i | −0.100259 | − | 0.128742i | ||||
\(862\) | −56.8737 | + | 36.5505i | −1.93712 | + | 1.24491i | ||||
\(863\) | −23.7835 | − | 12.2612i | −0.809598 | − | 0.417377i | 0.00314771 | − | 0.999995i | \(-0.498998\pi\) |
−0.812746 | + | 0.582618i | \(0.802028\pi\) | |||||||
\(864\) | −23.7083 | + | 4.56941i | −0.806574 | + | 0.155454i | ||||
\(865\) | 5.12074 | − | 21.1080i | 0.174110 | − | 0.717693i | ||||
\(866\) | 32.0183 | − | 12.8182i | 1.08803 | − | 0.435580i | ||||
\(867\) | 0.0923354 | − | 0.106561i | 0.00313587 | − | 0.00361899i | ||||
\(868\) | −65.5546 | − | 103.077i | −2.22507 | − | 3.49868i | ||||
\(869\) | −45.5471 | − | 13.3738i | −1.54508 | − | 0.453677i | ||||
\(870\) | −11.4835 | + | 16.1264i | −0.389328 | + | 0.546735i | ||||
\(871\) | 2.91707 | + | 1.16782i | 0.0988410 | + | 0.0395700i | ||||
\(872\) | 116.126 | − | 59.8671i | 3.93252 | − | 2.02736i | ||||
\(873\) | 2.57490 | + | 4.45987i | 0.0871473 | + | 0.150944i | ||||
\(874\) | 9.05560 | − | 6.53881i | 0.306310 | − | 0.221179i | ||||
\(875\) | 12.9080 | + | 25.3325i | 0.436369 | + | 0.856394i | ||||
\(876\) | 14.5929 | + | 9.37832i | 0.493050 | + | 0.316864i | ||||
\(877\) | 5.13064 | − | 4.03478i | 0.173249 | − | 0.136245i | −0.527769 | − | 0.849388i | \(-0.676971\pi\) |
0.701019 | + | 0.713143i | \(0.252729\pi\) | |||||||
\(878\) | 15.6761 | + | 1.49688i | 0.529042 | + | 0.0505174i | ||||
\(879\) | 3.84324 | − | 3.66453i | 0.129629 | − | 0.123601i | ||||
\(880\) | −68.0629 | + | 6.49922i | −2.29440 | + | 0.219089i | ||||
\(881\) | 16.9946 | − | 19.6128i | 0.572563 | − | 0.660773i | −0.393426 | − | 0.919356i | \(-0.628710\pi\) |
0.965989 | + | 0.258583i | \(0.0832556\pi\) | |||||||
\(882\) | 18.5349 | − | 5.25175i | 0.624103 | − | 0.176836i | ||||
\(883\) | 33.1895 | − | 9.74532i | 1.11692 | − | 0.327956i | 0.329363 | − | 0.944203i | \(-0.393166\pi\) |
0.787553 | + | 0.616247i | \(0.211348\pi\) | |||||||
\(884\) | −8.76365 | + | 25.3209i | −0.294754 | + | 0.851634i | ||||
\(885\) | −0.847867 | − | 17.7989i | −0.0285008 | − | 0.598304i | ||||
\(886\) | 2.32044 | + | 48.7121i | 0.0779568 | + | 1.63651i | ||||
\(887\) | 4.14315 | − | 11.9708i | 0.139113 | − | 0.401942i | −0.853827 | − | 0.520557i | \(-0.825724\pi\) |
0.992940 | + | 0.118615i | \(0.0378455\pi\) | |||||||
\(888\) | −59.5126 | + | 17.4745i | −1.99711 | + | 0.586405i | ||||
\(889\) | −30.7403 | + | 10.4762i | −1.03100 | + | 0.351361i | ||||
\(890\) | 13.4458 | − | 15.5173i | 0.450705 | − | 0.520141i | ||||
\(891\) | 3.31766 | − | 0.316798i | 0.111146 | − | 0.0106131i | ||||
\(892\) | −59.3016 | + | 56.5439i | −1.98556 | + | 1.89323i | ||||
\(893\) | −8.08687 | − | 0.772202i | −0.270617 | − | 0.0258408i | ||||
\(894\) | −19.4826 | + | 15.3213i | −0.651595 | + | 0.512420i | ||||
\(895\) | −0.921785 | − | 0.592395i | −0.0308119 | − | 0.0198016i | ||||
\(896\) | 67.6508 | − | 104.176i | 2.26005 | − | 3.48028i | ||||
\(897\) | −5.56021 | + | 0.301596i | −0.185650 | + | 0.0100700i | ||||
\(898\) | 34.9676 | + | 60.5657i | 1.16689 | + | 2.02110i | ||||
\(899\) | 41.1022 | − | 21.1897i | 1.37084 | − | 0.706715i | ||||
\(900\) | −17.2815 | − | 6.91845i | −0.576049 | − | 0.230615i | ||||
\(901\) | 1.22207 | − | 1.71616i | 0.0407131 | − | 0.0571735i | ||||
\(902\) | 15.9263 | + | 4.67638i | 0.530287 | + | 0.155706i | ||||
\(903\) | −12.4437 | + | 23.8587i | −0.414101 | + | 0.793969i | ||||
\(904\) | −20.8332 | + | 24.0428i | −0.692901 | + | 0.799650i | ||||
\(905\) | −28.3820 | + | 11.3624i | −0.943449 | + | 0.377700i | ||||
\(906\) | −10.2924 | + | 42.4259i | −0.341943 | + | 1.40951i | ||||
\(907\) | 15.8961 | − | 3.06373i | 0.527822 | − | 0.101729i | 0.0816234 | − | 0.996663i | \(-0.473990\pi\) |
0.446199 | + | 0.894934i | \(0.352777\pi\) | |||||||
\(908\) | −68.0626 | − | 35.0887i | −2.25874 | − | 1.16446i | ||||
\(909\) | −5.63601 | + | 3.62204i | −0.186935 | + | 0.120136i | ||||
\(910\) | −6.69339 | − | 8.59499i | −0.221884 | − | 0.284921i | ||||
\(911\) | 29.1355 | − | 8.55496i | 0.965303 | − | 0.283439i | 0.239159 | − | 0.970981i | \(-0.423128\pi\) |
0.726145 | + | 0.687542i | \(0.241310\pi\) | |||||||
\(912\) | −12.5085 | + | 5.00766i | −0.414199 | + | 0.165820i | ||||
\(913\) | −5.77388 | − | 16.6825i | −0.191088 | − | 0.552112i | ||||
\(914\) | 35.5128 | + | 49.8707i | 1.17466 | + | 1.64958i | ||||
\(915\) | −3.36207 | − | 13.8586i | −0.111147 | − | 0.458152i | ||||
\(916\) | −1.90189 | − | 4.16455i | −0.0628401 | − | 0.137601i | ||||
\(917\) | 20.3920 | + | 9.42994i | 0.673403 | + | 0.311404i | ||||
\(918\) | −9.58532 | − | 6.16011i | −0.316363 | − | 0.203314i | ||||
\(919\) | 20.8458 | + | 36.1060i | 0.687639 | + | 1.19103i | 0.972600 | + | 0.232486i | \(0.0746861\pi\) |
−0.284961 | + | 0.958539i | \(0.591981\pi\) | |||||||
\(920\) | −11.1097 | + | 59.7589i | −0.366276 | + | 1.97019i | ||||
\(921\) | −2.88702 | + | 5.00047i | −0.0951306 | + | 0.164771i | ||||
\(922\) | 4.96220 | − | 104.170i | 0.163422 | − | 3.43064i | ||||
\(923\) | −0.601755 | − | 4.18530i | −0.0198070 | − | 0.137761i | ||||
\(924\) | −30.5650 | + | 38.4892i | −1.00551 | + | 1.26620i | ||||
\(925\) | −20.2066 | − | 5.93319i | −0.664388 | − | 0.195082i | ||||
\(926\) | 46.8634 | − | 4.47491i | 1.54003 | − | 0.147055i | ||||
\(927\) | −2.06185 | − | 5.95732i | −0.0677199 | − | 0.195664i | ||||
\(928\) | 105.953 | + | 83.3220i | 3.47806 | + | 2.73518i | ||||
\(929\) | −33.1484 | − | 31.6069i | −1.08756 | − | 1.03699i | −0.999163 | − | 0.0409038i | \(-0.986976\pi\) |
−0.0883996 | − | 0.996085i | \(-0.528175\pi\) | |||||||
\(930\) | −19.2363 | − | 22.1998i | −0.630782 | − | 0.727961i | ||||
\(931\) | 5.29093 | − | 2.66440i | 0.173403 | − | 0.0873221i | ||||
\(932\) | −63.1238 | + | 40.5672i | −2.06769 | + | 1.32882i | ||||
\(933\) | 9.12456 | − | 26.3637i | 0.298725 | − | 0.863108i | ||||
\(934\) | 21.6662 | − | 89.3095i | 0.708941 | − | 2.92230i | ||||
\(935\) | −13.9758 | − | 10.9907i | −0.457058 | − | 0.359434i | ||||
\(936\) | 11.2139 | + | 2.16130i | 0.366538 | + | 0.0706444i | ||||
\(937\) | −2.59168 | + | 5.67498i | −0.0846664 | + | 0.185394i | −0.947230 | − | 0.320556i | \(-0.896130\pi\) |
0.862563 | + | 0.505949i | \(0.168858\pi\) | |||||||
\(938\) | −3.63728 | − | 19.3662i | −0.118761 | − | 0.632328i | ||||
\(939\) | 5.85258 | + | 12.8154i | 0.190992 | + | 0.418213i | ||||
\(940\) | 54.1951 | − | 42.6195i | 1.76765 | − | 1.39010i | ||||
\(941\) | −17.0121 | + | 8.77035i | −0.554578 | + | 0.285905i | −0.712647 | − | 0.701523i | \(-0.752504\pi\) |
0.158068 | + | 0.987428i | \(0.449473\pi\) | |||||||
\(942\) | 15.3938 | − | 26.6629i | 0.501558 | − | 0.868724i | ||||
\(943\) | 4.64404 | − | 7.33205i | 0.151231 | − | 0.238764i | ||||
\(944\) | −220.169 | −7.16589 | ||||||||
\(945\) | 3.10781 | − | 1.40150i | 0.101097 | − | 0.0455909i | ||||
\(946\) | −13.2758 | − | 92.3351i | −0.431633 | − | 3.00207i | ||||
\(947\) | 26.0708 | − | 36.6113i | 0.847187 | − | 1.18971i | −0.132898 | − | 0.991130i | \(-0.542428\pi\) |
0.980085 | − | 0.198578i | \(-0.0636323\pi\) | |||||||
\(948\) | 57.4593 | − | 54.7873i | 1.86619 | − | 1.77941i | ||||
\(949\) | −2.09598 | − | 2.94339i | −0.0680384 | − | 0.0955466i | ||||
\(950\) | −7.63747 | − | 1.47200i | −0.247792 | − | 0.0477580i | ||||
\(951\) | 3.33660 | − | 23.2066i | 0.108197 | − | 0.752525i | ||||
\(952\) | 104.823 | − | 24.9035i | 3.39733 | − | 0.807128i | ||||
\(953\) | −21.8132 | − | 25.1738i | −0.706598 | − | 0.815458i | 0.283030 | − | 0.959111i | \(-0.408660\pi\) |
−0.989628 | + | 0.143653i | \(0.954115\pi\) | |||||||
\(954\) | −1.24477 | − | 0.641726i | −0.0403010 | − | 0.0207766i | ||||
\(955\) | 0.877030 | + | 18.4111i | 0.0283800 | + | 0.595770i | ||||
\(956\) | −29.7455 | + | 5.73297i | −0.962038 | + | 0.185418i | ||||
\(957\) | −13.4654 | − | 12.8393i | −0.435275 | − | 0.415034i | ||||
\(958\) | −11.5430 | + | 80.2831i | −0.372936 | + | 2.59383i | ||||
\(959\) | 29.5651 | − | 30.7138i | 0.954708 | − | 0.991800i | ||||
\(960\) | 18.5240 | − | 40.5620i | 0.597861 | − | 1.30913i | ||||
\(961\) | 8.86777 | + | 36.5534i | 0.286057 | + | 1.17914i | ||||
\(962\) | 20.0591 | + | 1.91541i | 0.646730 | + | 0.0617552i | ||||
\(963\) | −6.16804 | − | 2.46931i | −0.198762 | − | 0.0795725i | ||||
\(964\) | −3.96522 | + | 83.2401i | −0.127711 | + | 2.68098i | ||||
\(965\) | −1.49089 | −0.0479935 | ||||||||
\(966\) | 20.3080 | + | 28.4076i | 0.653398 | + | 0.914001i | ||||
\(967\) | −27.7397 | −0.892049 | −0.446024 | − | 0.895021i | \(-0.647161\pi\) | ||||
−0.446024 | + | 0.895021i | \(0.647161\pi\) | |||||||
\(968\) | 0.0501719 | − | 1.05324i | 0.00161258 | − | 0.0338523i | ||||
\(969\) | −3.25275 | − | 1.30220i | −0.104493 | − | 0.0418328i | ||||
\(970\) | −18.1797 | − | 1.73595i | −0.583715 | − | 0.0557380i | ||||
\(971\) | −3.75000 | − | 15.4577i | −0.120343 | − | 0.496062i | −0.999798 | − | 0.0200799i | \(-0.993608\pi\) |
0.879455 | − | 0.475982i | \(-0.157907\pi\) | |||||||
\(972\) | −2.31551 | + | 5.07026i | −0.0742700 | + | 0.162629i | ||||
\(973\) | 53.0423 | + | 13.1348i | 1.70046 | + | 0.421082i | ||||
\(974\) | 13.5492 | − | 94.2365i | 0.434143 | − | 3.01953i | ||||
\(975\) | 2.80634 | + | 2.67584i | 0.0898747 | + | 0.0856954i | ||||
\(976\) | −173.017 | + | 33.3462i | −5.53813 | + | 1.06739i | ||||
\(977\) | 0.314319 | + | 6.59837i | 0.0100560 | + | 0.211100i | 0.998303 | + | 0.0582347i | \(0.0185472\pi\) |
−0.988247 | + | 0.152866i | \(0.951150\pi\) | |||||||
\(978\) | 17.9790 | + | 9.26883i | 0.574906 | + | 0.296385i | ||||
\(979\) | 12.6364 | + | 14.5832i | 0.403861 | + | 0.466080i | ||||
\(980\) | −16.8942 | + | 47.3533i | −0.539665 | + | 1.51265i | ||||
\(981\) | 1.89037 | − | 13.1478i | 0.0603548 | − | 0.419777i | ||||
\(982\) | 41.1975 | + | 7.94017i | 1.31467 | + | 0.253381i | ||||
\(983\) | 29.4399 | + | 41.3425i | 0.938986 | + | 1.31862i | 0.947869 | + | 0.318661i | \(0.103233\pi\) |
−0.00888247 | + | 0.999961i | \(0.502827\pi\) | |||||||
\(984\) | −12.8825 | + | 12.2834i | −0.410679 | + | 0.391581i | ||||
\(985\) | 7.37187 | − | 10.3523i | 0.234887 | − | 0.329853i | ||||
\(986\) | 9.05250 | + | 62.9615i | 0.288290 | + | 2.00510i | ||||
\(987\) | 2.53415 | − | 25.2706i | 0.0806628 | − | 0.804372i | ||||
\(988\) | 5.47698 | 0.174246 | ||||||||
\(989\) | −48.3246 | − | 6.62334i | −1.53663 | − | 0.210610i | ||||
\(990\) | −5.90934 | + | 10.2353i | −0.187811 | + | 0.325298i | ||||
\(991\) | 49.0294 | − | 25.2764i | 1.55747 | − | 0.802932i | 0.557836 | − | 0.829951i | \(-0.311632\pi\) |
0.999635 | + | 0.0270195i | \(0.00860163\pi\) | |||||||
\(992\) | −157.209 | + | 123.631i | −4.99140 | + | 3.92528i | ||||
\(993\) | −2.90565 | − | 6.36249i | −0.0922081 | − | 0.201908i | ||||
\(994\) | −20.1220 | + | 17.2693i | −0.638231 | + | 0.547748i | ||||
\(995\) | −6.77982 | + | 14.8457i | −0.214935 | + | 0.470642i | ||||
\(996\) | 28.9916 | + | 5.58767i | 0.918633 | + | 0.177052i | ||||
\(997\) | −20.3484 | − | 16.0022i | −0.644441 | − | 0.506794i | 0.241615 | − | 0.970372i | \(-0.422323\pi\) |
−0.886056 | + | 0.463578i | \(0.846565\pi\) | |||||||
\(998\) | −7.23637 | + | 29.8287i | −0.229063 | + | 0.944212i | ||||
\(999\) | −2.06250 | + | 5.95919i | −0.0652545 | + | 0.188540i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 483.2.y.a.25.16 | ✓ | 320 | |
7.2 | even | 3 | inner | 483.2.y.a.163.1 | yes | 320 | |
23.12 | even | 11 | inner | 483.2.y.a.403.1 | yes | 320 | |
161.58 | even | 33 | inner | 483.2.y.a.58.16 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.y.a.25.16 | ✓ | 320 | 1.1 | even | 1 | trivial | |
483.2.y.a.58.16 | yes | 320 | 161.58 | even | 33 | inner | |
483.2.y.a.163.1 | yes | 320 | 7.2 | even | 3 | inner | |
483.2.y.a.403.1 | yes | 320 | 23.12 | even | 11 | inner |