Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [961,2,Mod(374,961)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(961, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("961.374");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 961 = 31^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 961.d (of order \(5\), degree \(4\), 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: | \(7.67362363425\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 19x^{14} + 140x^{12} + 511x^{10} + 979x^{8} + 956x^{6} + 410x^{4} + 44x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 5^{2} \) |
Twist minimal: | no (minimal twist has level 31) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 374.4 | ||
Root | \(-1.83925i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 961.374 |
Dual form | 961.2.d.n.388.4 |
$q$-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 \(\left(\mathbb{Z}/961\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.557811 | + | 0.405274i | 0.394432 | + | 0.286572i | 0.767269 | − | 0.641325i | \(-0.221615\pi\) |
−0.372837 | + | 0.927897i | \(0.621615\pi\) | |||||||
\(3\) | −0.730058 | + | 0.530418i | −0.421499 | + | 0.306237i | −0.778241 | − | 0.627966i | \(-0.783888\pi\) |
0.356742 | + | 0.934203i | \(0.383888\pi\) | |||||||
\(4\) | −0.471127 | − | 1.44998i | −0.235564 | − | 0.724990i | ||||
\(5\) | 3.70752 | 1.65805 | 0.829026 | − | 0.559210i | \(-0.188896\pi\) | ||||
0.829026 | + | 0.559210i | \(0.188896\pi\) | |||||||
\(6\) | −0.622199 | −0.254012 | ||||||||
\(7\) | 0.235902 | + | 0.726031i | 0.0891625 | + | 0.274414i | 0.985688 | − | 0.168577i | \(-0.0539173\pi\) |
−0.896526 | + | 0.442991i | \(0.853917\pi\) | |||||||
\(8\) | 0.750969 | − | 2.31124i | 0.265508 | − | 0.817148i | ||||
\(9\) | −0.675410 | + | 2.07870i | −0.225137 | + | 0.692899i | ||||
\(10\) | 2.06809 | + | 1.50256i | 0.653989 | + | 0.475151i | ||||
\(11\) | 1.27180 | + | 3.91419i | 0.383461 | + | 1.18017i | 0.937590 | + | 0.347742i | \(0.113051\pi\) |
−0.554129 | + | 0.832431i | \(0.686949\pi\) | |||||||
\(12\) | 1.11305 | + | 0.808675i | 0.321309 | + | 0.233444i | ||||
\(13\) | −2.35404 | + | 1.71031i | −0.652893 | + | 0.474354i | −0.864255 | − | 0.503053i | \(-0.832210\pi\) |
0.211363 | + | 0.977408i | \(0.432210\pi\) | |||||||
\(14\) | −0.162653 | + | 0.500593i | −0.0434707 | + | 0.133789i | ||||
\(15\) | −2.70670 | + | 1.96653i | −0.698867 | + | 0.507757i | ||||
\(16\) | −1.11127 | + | 0.807384i | −0.277817 | + | 0.201846i | ||||
\(17\) | −0.404356 | + | 1.24448i | −0.0980708 | + | 0.301831i | −0.988042 | − | 0.154186i | \(-0.950724\pi\) |
0.889971 | + | 0.456017i | \(0.150724\pi\) | |||||||
\(18\) | −1.21919 | + | 0.885796i | −0.287367 | + | 0.208784i | ||||
\(19\) | 3.07389 | + | 2.23331i | 0.705200 | + | 0.512358i | 0.881621 | − | 0.471957i | \(-0.156452\pi\) |
−0.176422 | + | 0.984315i | \(0.556452\pi\) | |||||||
\(20\) | −1.74671 | − | 5.37583i | −0.390577 | − | 1.20207i | ||||
\(21\) | −0.557322 | − | 0.404918i | −0.121618 | − | 0.0883603i | ||||
\(22\) | −0.876895 | + | 2.69881i | −0.186955 | + | 0.575387i | ||||
\(23\) | 1.01449 | − | 3.12228i | 0.211536 | − | 0.651040i | −0.787846 | − | 0.615873i | \(-0.788804\pi\) |
0.999381 | − | 0.0351674i | \(-0.0111964\pi\) | |||||||
\(24\) | 0.677675 | + | 2.08567i | 0.138330 | + | 0.425735i | ||||
\(25\) | 8.74568 | 1.74914 | ||||||||
\(26\) | −2.00625 | −0.393458 | ||||||||
\(27\) | −1.44606 | − | 4.45052i | −0.278295 | − | 0.856503i | ||||
\(28\) | 0.941591 | − | 0.684106i | 0.177944 | − | 0.129284i | ||||
\(29\) | 3.96065 | + | 2.87758i | 0.735474 | + | 0.534353i | 0.891290 | − | 0.453433i | \(-0.149801\pi\) |
−0.155816 | + | 0.987786i | \(0.549801\pi\) | |||||||
\(30\) | −2.30681 | −0.421164 | ||||||||
\(31\) | 0 | 0 | ||||||||
\(32\) | −5.80746 | −1.02662 | ||||||||
\(33\) | −3.00464 | − | 2.18300i | −0.523041 | − | 0.380012i | ||||
\(34\) | −0.729910 | + | 0.530310i | −0.125178 | + | 0.0909475i | ||||
\(35\) | 0.874609 | + | 2.69177i | 0.147836 | + | 0.454992i | ||||
\(36\) | 3.33228 | 0.555379 | ||||||||
\(37\) | 10.4128 | 1.71185 | 0.855925 | − | 0.517099i | \(-0.172988\pi\) | ||||
0.855925 | + | 0.517099i | \(0.172988\pi\) | |||||||
\(38\) | 0.809549 | + | 2.49154i | 0.131326 | + | 0.404181i | ||||
\(39\) | 0.811405 | − | 2.49725i | 0.129929 | − | 0.399880i | ||||
\(40\) | 2.78423 | − | 8.56898i | 0.440225 | − | 1.35487i | ||||
\(41\) | −0.611573 | − | 0.444334i | −0.0955117 | − | 0.0693933i | 0.539004 | − | 0.842303i | \(-0.318801\pi\) |
−0.634516 | + | 0.772910i | \(0.718801\pi\) | |||||||
\(42\) | −0.146778 | − | 0.451736i | −0.0226483 | − | 0.0697043i | ||||
\(43\) | −5.79005 | − | 4.20671i | −0.882974 | − | 0.641518i | 0.0510629 | − | 0.998695i | \(-0.483739\pi\) |
−0.934037 | + | 0.357178i | \(0.883739\pi\) | |||||||
\(44\) | 5.07632 | − | 3.68816i | 0.765284 | − | 0.556011i | ||||
\(45\) | −2.50409 | + | 7.70681i | −0.373288 | + | 1.14886i | ||||
\(46\) | 1.83127 | − | 1.33050i | 0.270006 | − | 0.196171i | ||||
\(47\) | 0.708753 | − | 0.514939i | 0.103382 | − | 0.0751116i | −0.534893 | − | 0.844920i | \(-0.679648\pi\) |
0.638275 | + | 0.769808i | \(0.279648\pi\) | |||||||
\(48\) | 0.383039 | − | 1.17887i | 0.0552870 | − | 0.170156i | ||||
\(49\) | 5.19165 | − | 3.77195i | 0.741664 | − | 0.538850i | ||||
\(50\) | 4.87844 | + | 3.54439i | 0.689915 | + | 0.501253i | ||||
\(51\) | −0.364891 | − | 1.12302i | −0.0510950 | − | 0.157254i | ||||
\(52\) | 3.58897 | + | 2.60754i | 0.497700 | + | 0.361600i | ||||
\(53\) | −1.10495 | + | 3.40070i | −0.151777 | + | 0.467122i | −0.997820 | − | 0.0659929i | \(-0.978979\pi\) |
0.846043 | + | 0.533115i | \(0.178979\pi\) | |||||||
\(54\) | 0.997049 | − | 3.06860i | 0.135681 | − | 0.417584i | ||||
\(55\) | 4.71521 | + | 14.5119i | 0.635799 | + | 1.95679i | ||||
\(56\) | 1.85519 | 0.247910 | ||||||||
\(57\) | −3.42871 | −0.454144 | ||||||||
\(58\) | 1.04309 | + | 3.21029i | 0.136964 | + | 0.421532i | ||||
\(59\) | −0.750177 | + | 0.545036i | −0.0976647 | + | 0.0709576i | −0.635546 | − | 0.772063i | \(-0.719225\pi\) |
0.537881 | + | 0.843021i | \(0.319225\pi\) | |||||||
\(60\) | 4.12664 | + | 2.99818i | 0.532746 | + | 0.387063i | ||||
\(61\) | −2.31704 | −0.296666 | −0.148333 | − | 0.988937i | \(-0.547391\pi\) | ||||
−0.148333 | + | 0.988937i | \(0.547391\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −1.66853 | −0.210215 | ||||||||
\(64\) | −1.01693 | − | 0.738843i | −0.127116 | − | 0.0923554i | ||||
\(65\) | −8.72763 | + | 6.34100i | −1.08253 | + | 0.786504i | ||||
\(66\) | −0.791311 | − | 2.43540i | −0.0974036 | − | 0.299778i | ||||
\(67\) | −2.08690 | −0.254955 | −0.127478 | − | 0.991841i | \(-0.540688\pi\) | ||||
−0.127478 | + | 0.991841i | \(0.540688\pi\) | |||||||
\(68\) | 1.99498 | 0.241926 | ||||||||
\(69\) | 0.915477 | + | 2.81755i | 0.110210 | + | 0.339193i | ||||
\(70\) | −0.603037 | + | 1.85596i | −0.0720767 | + | 0.221829i | ||||
\(71\) | −2.39058 | + | 7.35745i | −0.283710 | + | 0.873169i | 0.703073 | + | 0.711118i | \(0.251811\pi\) |
−0.986782 | + | 0.162051i | \(0.948189\pi\) | |||||||
\(72\) | 4.29717 | + | 3.12207i | 0.506426 | + | 0.367940i | ||||
\(73\) | 1.74826 | + | 5.38058i | 0.204618 | + | 0.629749i | 0.999729 | + | 0.0232853i | \(0.00741261\pi\) |
−0.795111 | + | 0.606464i | \(0.792587\pi\) | |||||||
\(74\) | 5.80837 | + | 4.22003i | 0.675209 | + | 0.490568i | ||||
\(75\) | −6.38485 | + | 4.63886i | −0.737259 | + | 0.535650i | ||||
\(76\) | 1.79007 | − | 5.50926i | 0.205335 | − | 0.631956i | ||||
\(77\) | −2.54180 | + | 1.84673i | −0.289665 | + | 0.210454i | ||||
\(78\) | 1.46468 | − | 1.06415i | 0.165842 | − | 0.120492i | ||||
\(79\) | 4.35551 | − | 13.4049i | 0.490033 | − | 1.50817i | −0.334524 | − | 0.942387i | \(-0.608576\pi\) |
0.824557 | − | 0.565779i | \(-0.191424\pi\) | |||||||
\(80\) | −4.12005 | + | 2.99339i | −0.460635 | + | 0.334671i | ||||
\(81\) | −1.88839 | − | 1.37200i | −0.209822 | − | 0.152444i | ||||
\(82\) | −0.161066 | − | 0.495709i | −0.0177867 | − | 0.0547419i | ||||
\(83\) | −11.4134 | − | 8.29231i | −1.25278 | − | 0.910199i | −0.254401 | − | 0.967099i | \(-0.581878\pi\) |
−0.998380 | + | 0.0568999i | \(0.981878\pi\) | |||||||
\(84\) | −0.324554 | + | 0.998873i | −0.0354117 | + | 0.108986i | ||||
\(85\) | −1.49916 | + | 4.61393i | −0.162606 | + | 0.500451i | ||||
\(86\) | −1.52488 | − | 4.69311i | −0.164432 | − | 0.506071i | ||||
\(87\) | −4.41782 | −0.473640 | ||||||||
\(88\) | 10.0017 | 1.06619 | ||||||||
\(89\) | 1.37043 | + | 4.21776i | 0.145266 | + | 0.447081i | 0.997045 | − | 0.0768191i | \(-0.0244764\pi\) |
−0.851780 | + | 0.523900i | \(0.824476\pi\) | |||||||
\(90\) | −4.52018 | + | 3.28410i | −0.476469 | + | 0.346175i | ||||
\(91\) | −1.79706 | − | 1.30564i | −0.188383 | − | 0.136868i | ||||
\(92\) | −5.00520 | −0.521828 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.604042 | 0.0623021 | ||||||||
\(95\) | 11.3965 | + | 8.28005i | 1.16926 | + | 0.849515i | ||||
\(96\) | 4.23978 | − | 3.08038i | 0.432721 | − | 0.314390i | ||||
\(97\) | −1.63088 | − | 5.01933i | −0.165591 | − | 0.509636i | 0.833489 | − | 0.552537i | \(-0.186340\pi\) |
−0.999079 | + | 0.0429007i | \(0.986340\pi\) | |||||||
\(98\) | 4.42463 | 0.446955 | ||||||||
\(99\) | −8.99540 | −0.904072 | ||||||||
\(100\) | −4.12033 | − | 12.6811i | −0.412033 | − | 1.26811i | ||||
\(101\) | 1.17656 | − | 3.62108i | 0.117072 | − | 0.360311i | −0.875301 | − | 0.483578i | \(-0.839337\pi\) |
0.992374 | + | 0.123267i | \(0.0393371\pi\) | |||||||
\(102\) | 0.251590 | − | 0.774314i | 0.0249111 | − | 0.0766685i | ||||
\(103\) | 5.05287 | + | 3.67113i | 0.497874 | + | 0.361727i | 0.808204 | − | 0.588902i | \(-0.200440\pi\) |
−0.310330 | + | 0.950629i | \(0.600440\pi\) | |||||||
\(104\) | 2.18513 | + | 6.72515i | 0.214270 | + | 0.659455i | ||||
\(105\) | −2.06628 | − | 1.50124i | −0.201648 | − | 0.146506i | ||||
\(106\) | −1.99457 | + | 1.44914i | −0.193730 | + | 0.140753i | ||||
\(107\) | 0.719201 | − | 2.21347i | 0.0695278 | − | 0.213985i | −0.910255 | − | 0.414048i | \(-0.864115\pi\) |
0.979783 | + | 0.200063i | \(0.0641147\pi\) | |||||||
\(108\) | −5.77189 | + | 4.19352i | −0.555400 | + | 0.403522i | ||||
\(109\) | −1.19478 | + | 0.868057i | −0.114439 | + | 0.0831448i | −0.643533 | − | 0.765419i | \(-0.722532\pi\) |
0.529094 | + | 0.848563i | \(0.322532\pi\) | |||||||
\(110\) | −3.25110 | + | 10.0059i | −0.309980 | + | 0.954022i | ||||
\(111\) | −7.60193 | + | 5.52313i | −0.721543 | + | 0.524232i | ||||
\(112\) | −0.848336 | − | 0.616352i | −0.0801602 | − | 0.0582398i | ||||
\(113\) | 1.97170 | + | 6.06826i | 0.185482 | + | 0.570854i | 0.999956 | − | 0.00934524i | \(-0.00297473\pi\) |
−0.814475 | + | 0.580199i | \(0.802975\pi\) | |||||||
\(114\) | −1.91257 | − | 1.38957i | −0.179129 | − | 0.130145i | ||||
\(115\) | 3.76124 | − | 11.5759i | 0.350737 | − | 1.07946i | ||||
\(116\) | 2.30647 | − | 7.09857i | 0.214150 | − | 0.659086i | ||||
\(117\) | −1.96527 | − | 6.04849i | −0.181690 | − | 0.559183i | ||||
\(118\) | −0.639346 | −0.0588566 | ||||||||
\(119\) | −0.998919 | −0.0915708 | ||||||||
\(120\) | 2.51249 | + | 7.73265i | 0.229358 | + | 0.705891i | ||||
\(121\) | −4.80423 | + | 3.49047i | −0.436748 | + | 0.317316i | ||||
\(122\) | −1.29247 | − | 0.939035i | −0.117015 | − | 0.0850162i | ||||
\(123\) | 0.682166 | 0.0615089 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 13.8872 | 1.24211 | ||||||||
\(126\) | −0.930724 | − | 0.676211i | −0.0829155 | − | 0.0602417i | ||||
\(127\) | −1.15852 | + | 0.841717i | −0.102802 | + | 0.0746903i | −0.637999 | − | 0.770037i | \(-0.720238\pi\) |
0.535197 | + | 0.844728i | \(0.320238\pi\) | |||||||
\(128\) | 3.32139 | + | 10.2222i | 0.293572 | + | 0.903521i | ||||
\(129\) | 6.45838 | 0.568629 | ||||||||
\(130\) | −7.43821 | −0.652374 | ||||||||
\(131\) | 1.94461 | + | 5.98490i | 0.169902 | + | 0.522903i | 0.999364 | − | 0.0356592i | \(-0.0113531\pi\) |
−0.829462 | + | 0.558563i | \(0.811353\pi\) | |||||||
\(132\) | −1.74974 | + | 5.38514i | −0.152295 | + | 0.468717i | ||||
\(133\) | −0.896318 | + | 2.75858i | −0.0777207 | + | 0.239200i | ||||
\(134\) | −1.16410 | − | 0.845765i | −0.100562 | − | 0.0730629i | ||||
\(135\) | −5.36130 | − | 16.5004i | −0.461427 | − | 1.42013i | ||||
\(136\) | 2.57264 | + | 1.86913i | 0.220602 | + | 0.160277i | ||||
\(137\) | 10.3149 | − | 7.49421i | 0.881261 | − | 0.640273i | −0.0523242 | − | 0.998630i | \(-0.516663\pi\) |
0.933585 | + | 0.358357i | \(0.116663\pi\) | |||||||
\(138\) | −0.631214 | + | 1.94268i | −0.0537325 | + | 0.165372i | ||||
\(139\) | 15.1397 | − | 10.9997i | 1.28414 | − | 0.932979i | 0.284466 | − | 0.958686i | \(-0.408184\pi\) |
0.999670 | + | 0.0257067i | \(0.00818361\pi\) | |||||||
\(140\) | 3.49096 | − | 2.53633i | 0.295040 | − | 0.214359i | ||||
\(141\) | −0.244298 | + | 0.751870i | −0.0205736 | + | 0.0633189i | ||||
\(142\) | −4.31528 | + | 3.13523i | −0.362130 | + | 0.263103i | ||||
\(143\) | −9.68833 | − | 7.03899i | −0.810179 | − | 0.588630i | ||||
\(144\) | −0.927746 | − | 2.85531i | −0.0773122 | − | 0.237942i | ||||
\(145\) | 14.6842 | + | 10.6687i | 1.21945 | + | 0.885985i | ||||
\(146\) | −1.20541 | + | 3.70987i | −0.0997605 | + | 0.307031i | ||||
\(147\) | −1.78949 | + | 5.50749i | −0.147595 | + | 0.454250i | ||||
\(148\) | −4.90575 | − | 15.0983i | −0.403250 | − | 1.24108i | ||||
\(149\) | −20.1353 | −1.64955 | −0.824774 | − | 0.565462i | \(-0.808698\pi\) | ||||
−0.824774 | + | 0.565462i | \(0.808698\pi\) | |||||||
\(150\) | −5.44155 | −0.444301 | ||||||||
\(151\) | −4.75035 | − | 14.6201i | −0.386578 | − | 1.18977i | −0.935329 | − | 0.353779i | \(-0.884896\pi\) |
0.548751 | − | 0.835986i | \(-0.315104\pi\) | |||||||
\(152\) | 7.47013 | − | 5.42737i | 0.605908 | − | 0.440218i | ||||
\(153\) | −2.31379 | − | 1.68107i | −0.187059 | − | 0.135906i | ||||
\(154\) | −2.16628 | −0.174564 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −4.00324 | −0.320515 | ||||||||
\(157\) | −12.2544 | − | 8.90334i | −0.978008 | − | 0.710564i | −0.0207452 | − | 0.999785i | \(-0.506604\pi\) |
−0.957262 | + | 0.289221i | \(0.906604\pi\) | |||||||
\(158\) | 7.86219 | − | 5.71222i | 0.625483 | − | 0.454440i | ||||
\(159\) | −0.997111 | − | 3.06879i | −0.0790760 | − | 0.243371i | ||||
\(160\) | −21.5313 | −1.70220 | ||||||||
\(161\) | 2.50619 | 0.197515 | ||||||||
\(162\) | −0.497333 | − | 1.53063i | −0.0390741 | − | 0.120258i | ||||
\(163\) | −0.322882 | + | 0.993730i | −0.0252901 | + | 0.0778349i | −0.962905 | − | 0.269841i | \(-0.913029\pi\) |
0.937615 | + | 0.347676i | \(0.113029\pi\) | |||||||
\(164\) | −0.356147 | + | 1.09611i | −0.0278104 | + | 0.0855916i | ||||
\(165\) | −11.1398 | − | 8.09351i | −0.867229 | − | 0.630079i | ||||
\(166\) | −3.00586 | − | 9.25108i | −0.233300 | − | 0.718023i | ||||
\(167\) | −9.13332 | − | 6.63574i | −0.706757 | − | 0.513489i | 0.175369 | − | 0.984503i | \(-0.443888\pi\) |
−0.882126 | + | 0.471014i | \(0.843888\pi\) | |||||||
\(168\) | −1.35440 | + | 0.984026i | −0.104494 | + | 0.0759192i | ||||
\(169\) | −1.40088 | + | 4.31147i | −0.107760 | + | 0.331652i | ||||
\(170\) | −2.70615 | + | 1.96613i | −0.207552 | + | 0.150796i | ||||
\(171\) | −6.71853 | + | 4.88129i | −0.513778 | + | 0.373282i | ||||
\(172\) | −3.37181 | + | 10.3774i | −0.257098 | + | 0.791266i | ||||
\(173\) | 16.7084 | − | 12.1393i | 1.27031 | − | 0.922937i | 0.271099 | − | 0.962552i | \(-0.412613\pi\) |
0.999215 | + | 0.0396145i | \(0.0126130\pi\) | |||||||
\(174\) | −2.46431 | − | 1.79043i | −0.186819 | − | 0.135732i | ||||
\(175\) | 2.06312 | + | 6.34963i | 0.155957 | + | 0.479987i | ||||
\(176\) | −4.57356 | − | 3.32289i | −0.344745 | − | 0.250472i | ||||
\(177\) | 0.258576 | − | 0.795815i | 0.0194358 | − | 0.0598171i | ||||
\(178\) | −0.944903 | + | 2.90811i | −0.0708235 | + | 0.217972i | ||||
\(179\) | 0.0406859 | + | 0.125218i | 0.00304101 | + | 0.00935926i | 0.952566 | − | 0.304334i | \(-0.0984338\pi\) |
−0.949524 | + | 0.313693i | \(0.898434\pi\) | |||||||
\(180\) | 12.3545 | 0.920848 | ||||||||
\(181\) | −7.73199 | −0.574714 | −0.287357 | − | 0.957824i | \(-0.592777\pi\) | ||||
−0.287357 | + | 0.957824i | \(0.592777\pi\) | |||||||
\(182\) | −0.473278 | − | 1.45660i | −0.0350817 | − | 0.107970i | ||||
\(183\) | 1.69157 | − | 1.22900i | 0.125045 | − | 0.0908502i | ||||
\(184\) | −6.45450 | − | 4.68947i | −0.475832 | − | 0.345712i | ||||
\(185\) | 38.6056 | 2.83834 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.38539 | −0.393819 | ||||||||
\(188\) | −1.08056 | − | 0.785076i | −0.0788083 | − | 0.0572576i | ||||
\(189\) | 2.89009 | − | 2.09977i | 0.210223 | − | 0.152736i | ||||
\(190\) | 3.00142 | + | 9.23741i | 0.217746 | + | 0.670152i | ||||
\(191\) | −21.1027 | −1.52694 | −0.763468 | − | 0.645846i | \(-0.776505\pi\) | ||||
−0.763468 | + | 0.645846i | \(0.776505\pi\) | |||||||
\(192\) | 1.13431 | 0.0818620 | ||||||||
\(193\) | 1.75004 | + | 5.38606i | 0.125970 | + | 0.387697i | 0.994077 | − | 0.108682i | \(-0.0346629\pi\) |
−0.868106 | + | 0.496378i | \(0.834663\pi\) | |||||||
\(194\) | 1.12448 | − | 3.46079i | 0.0807330 | − | 0.248471i | ||||
\(195\) | 3.00830 | − | 9.25859i | 0.215429 | − | 0.663021i | ||||
\(196\) | −7.91519 | − | 5.75072i | −0.565370 | − | 0.410766i | ||||
\(197\) | −4.91794 | − | 15.1359i | −0.350389 | − | 1.07839i | −0.958635 | − | 0.284638i | \(-0.908127\pi\) |
0.608246 | − | 0.793748i | \(-0.291873\pi\) | |||||||
\(198\) | −5.01774 | − | 3.64560i | −0.356595 | − | 0.259082i | ||||
\(199\) | −3.44759 | + | 2.50482i | −0.244393 | + | 0.177562i | −0.703238 | − | 0.710954i | \(-0.748263\pi\) |
0.458845 | + | 0.888516i | \(0.348263\pi\) | |||||||
\(200\) | 6.56773 | − | 20.2134i | 0.464409 | − | 1.42930i | ||||
\(201\) | 1.52356 | − | 1.10693i | 0.107463 | − | 0.0780767i | ||||
\(202\) | 2.12383 | − | 1.54305i | 0.149432 | − | 0.108569i | ||||
\(203\) | −1.15489 | + | 3.55438i | −0.0810572 | + | 0.249468i | ||||
\(204\) | −1.45645 | + | 1.05817i | −0.101972 | + | 0.0740868i | ||||
\(205\) | −2.26742 | − | 1.64737i | −0.158363 | − | 0.115058i | ||||
\(206\) | 1.33074 | + | 4.09559i | 0.0927170 | + | 0.285353i | ||||
\(207\) | 5.80508 | + | 4.21764i | 0.403481 | + | 0.293146i | ||||
\(208\) | 1.23509 | − | 3.80123i | 0.0856383 | − | 0.263568i | ||||
\(209\) | −4.83225 | + | 14.8721i | −0.334254 | + | 1.02873i | ||||
\(210\) | −0.544181 | − | 1.67482i | −0.0375521 | − | 0.115573i | ||||
\(211\) | −11.5083 | −0.792263 | −0.396131 | − | 0.918194i | \(-0.629648\pi\) | ||||
−0.396131 | + | 0.918194i | \(0.629648\pi\) | |||||||
\(212\) | 5.45152 | 0.374412 | ||||||||
\(213\) | −2.15726 | − | 6.63937i | −0.147813 | − | 0.454922i | ||||
\(214\) | 1.29824 | − | 0.943228i | 0.0887460 | − | 0.0644777i | ||||
\(215\) | −21.4667 | − | 15.5965i | −1.46402 | − | 1.06367i | ||||
\(216\) | −11.3722 | −0.773780 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −1.01826 | −0.0689654 | ||||||||
\(219\) | −4.13028 | − | 3.00083i | −0.279099 | − | 0.202777i | ||||
\(220\) | 18.8205 | − | 13.6739i | 1.26888 | − | 0.921896i | ||||
\(221\) | −1.17658 | − | 3.62113i | −0.0791450 | − | 0.243583i | ||||
\(222\) | −6.47882 | −0.434830 | ||||||||
\(223\) | −9.42391 | −0.631072 | −0.315536 | − | 0.948914i | \(-0.602184\pi\) | ||||
−0.315536 | + | 0.948914i | \(0.602184\pi\) | |||||||
\(224\) | −1.36999 | − | 4.21640i | −0.0915363 | − | 0.281720i | ||||
\(225\) | −5.90692 | + | 18.1796i | −0.393795 | + | 1.21197i | ||||
\(226\) | −1.35947 | + | 4.18402i | −0.0904307 | + | 0.278317i | ||||
\(227\) | −17.6067 | − | 12.7920i | −1.16859 | − | 0.849034i | −0.177755 | − | 0.984075i | \(-0.556883\pi\) |
−0.990840 | + | 0.135041i | \(0.956883\pi\) | |||||||
\(228\) | 1.61536 | + | 4.97156i | 0.106980 | + | 0.329250i | ||||
\(229\) | 13.7176 | + | 9.96642i | 0.906485 | + | 0.658600i | 0.940123 | − | 0.340834i | \(-0.110709\pi\) |
−0.0336385 | + | 0.999434i | \(0.510709\pi\) | |||||||
\(230\) | 6.78947 | − | 4.93284i | 0.447684 | − | 0.325262i | ||||
\(231\) | 0.876125 | − | 2.69644i | 0.0576448 | − | 0.177412i | ||||
\(232\) | 9.62511 | − | 6.99305i | 0.631920 | − | 0.459117i | ||||
\(233\) | 7.95758 | − | 5.78152i | 0.521318 | − | 0.378760i | −0.295782 | − | 0.955255i | \(-0.595580\pi\) |
0.817100 | + | 0.576496i | \(0.195580\pi\) | |||||||
\(234\) | 1.35504 | − | 4.17039i | 0.0885819 | − | 0.272627i | ||||
\(235\) | 2.62771 | − | 1.90915i | 0.171413 | − | 0.124539i | ||||
\(236\) | 1.14372 | + | 0.830961i | 0.0744498 | + | 0.0540910i | ||||
\(237\) | 3.93041 | + | 12.0966i | 0.255308 | + | 0.785757i | ||||
\(238\) | −0.557208 | − | 0.404836i | −0.0361185 | − | 0.0262416i | ||||
\(239\) | −0.182516 | + | 0.561727i | −0.0118060 | + | 0.0363351i | −0.956786 | − | 0.290793i | \(-0.906081\pi\) |
0.944980 | + | 0.327128i | \(0.106081\pi\) | |||||||
\(240\) | 1.42012 | − | 4.37069i | 0.0916687 | − | 0.282127i | ||||
\(241\) | −4.74973 | − | 14.6182i | −0.305957 | − | 0.941639i | −0.979318 | − | 0.202325i | \(-0.935150\pi\) |
0.673361 | − | 0.739313i | \(-0.264850\pi\) | |||||||
\(242\) | −4.09445 | −0.263201 | ||||||||
\(243\) | 16.1450 | 1.03570 | ||||||||
\(244\) | 1.09162 | + | 3.35966i | 0.0698838 | + | 0.215080i | ||||
\(245\) | 19.2481 | − | 13.9846i | 1.22972 | − | 0.893442i | ||||
\(246\) | 0.380520 | + | 0.276464i | 0.0242611 | + | 0.0176267i | ||||
\(247\) | −11.0557 | −0.703459 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 12.7308 | 0.806783 | ||||||||
\(250\) | 7.74642 | + | 5.62810i | 0.489926 | + | 0.355952i | ||||
\(251\) | −4.89577 | + | 3.55698i | −0.309018 | + | 0.224515i | −0.731475 | − | 0.681868i | \(-0.761168\pi\) |
0.422457 | + | 0.906383i | \(0.361168\pi\) | |||||||
\(252\) | 0.786090 | + | 2.41933i | 0.0495190 | + | 0.152404i | ||||
\(253\) | 13.5114 | 0.849455 | ||||||||
\(254\) | −0.987363 | −0.0619527 | ||||||||
\(255\) | −1.35284 | − | 4.16362i | −0.0847182 | − | 0.260736i | ||||
\(256\) | −3.06694 | + | 9.43906i | −0.191684 | + | 0.589942i | ||||
\(257\) | −1.39918 | + | 4.30623i | −0.0872784 | + | 0.268615i | −0.985165 | − | 0.171612i | \(-0.945102\pi\) |
0.897886 | + | 0.440228i | \(0.145102\pi\) | |||||||
\(258\) | 3.60256 | + | 2.61741i | 0.224286 | + | 0.162953i | ||||
\(259\) | 2.45639 | + | 7.56000i | 0.152633 | + | 0.469756i | ||||
\(260\) | 13.3061 | + | 9.66748i | 0.825212 | + | 0.599552i | ||||
\(261\) | −8.65668 | + | 6.28945i | −0.535835 | + | 0.389307i | ||||
\(262\) | −1.34080 | + | 4.12655i | −0.0828347 | + | 0.254939i | ||||
\(263\) | −2.02971 | + | 1.47467i | −0.125157 | + | 0.0909322i | −0.648603 | − | 0.761127i | \(-0.724646\pi\) |
0.523445 | + | 0.852059i | \(0.324646\pi\) | |||||||
\(264\) | −7.30184 | + | 5.30510i | −0.449397 | + | 0.326506i | ||||
\(265\) | −4.09663 | + | 12.6081i | −0.251654 | + | 0.774512i | ||||
\(266\) | −1.61796 | + | 1.17552i | −0.0992034 | + | 0.0720755i | ||||
\(267\) | −3.23767 | − | 2.35230i | −0.198142 | − | 0.143959i | ||||
\(268\) | 0.983194 | + | 3.02596i | 0.0600581 | + | 0.184840i | ||||
\(269\) | 10.7921 | + | 7.84092i | 0.658006 | + | 0.478069i | 0.865989 | − | 0.500063i | \(-0.166690\pi\) |
−0.207983 | + | 0.978132i | \(0.566690\pi\) | |||||||
\(270\) | 3.69658 | − | 11.3769i | 0.224967 | − | 0.692376i | ||||
\(271\) | −4.27190 | + | 13.1476i | −0.259500 | + | 0.798658i | 0.733410 | + | 0.679787i | \(0.237928\pi\) |
−0.992910 | + | 0.118871i | \(0.962072\pi\) | |||||||
\(272\) | −0.555425 | − | 1.70942i | −0.0336776 | − | 0.103649i | ||||
\(273\) | 2.00449 | 0.121317 | ||||||||
\(274\) | 8.79097 | 0.531082 | ||||||||
\(275\) | 11.1227 | + | 34.2322i | 0.670726 | + | 2.06428i | ||||
\(276\) | 3.65408 | − | 2.65485i | 0.219950 | − | 0.159803i | ||||
\(277\) | 9.36093 | + | 6.80111i | 0.562444 | + | 0.408639i | 0.832353 | − | 0.554247i | \(-0.186994\pi\) |
−0.269909 | + | 0.962886i | \(0.586994\pi\) | |||||||
\(278\) | 12.9030 | 0.773870 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 6.87814 | 0.411048 | ||||||||
\(281\) | 12.4583 | + | 9.05151i | 0.743202 | + | 0.539968i | 0.893712 | − | 0.448641i | \(-0.148092\pi\) |
−0.150510 | + | 0.988608i | \(0.548092\pi\) | |||||||
\(282\) | −0.440985 | + | 0.320395i | −0.0262603 | + | 0.0190792i | ||||
\(283\) | −7.01336 | − | 21.5849i | −0.416901 | − | 1.28309i | −0.910539 | − | 0.413422i | \(-0.864333\pi\) |
0.493638 | − | 0.869667i | \(-0.335667\pi\) | |||||||
\(284\) | 11.7944 | 0.699871 | ||||||||
\(285\) | −12.7120 | −0.752994 | ||||||||
\(286\) | −2.55155 | − | 7.85285i | −0.150876 | − | 0.464349i | ||||
\(287\) | 0.178329 | − | 0.548840i | 0.0105264 | − | 0.0323970i | ||||
\(288\) | 3.92242 | − | 12.0720i | 0.231131 | − | 0.711347i | ||||
\(289\) | 12.3681 | + | 8.98592i | 0.727533 | + | 0.528584i | ||||
\(290\) | 3.86726 | + | 11.9022i | 0.227094 | + | 0.698922i | ||||
\(291\) | 3.85298 | + | 2.79935i | 0.225866 | + | 0.164101i | ||||
\(292\) | 6.97809 | − | 5.06988i | 0.408362 | − | 0.296692i | ||||
\(293\) | 3.83208 | − | 11.7939i | 0.223872 | − | 0.689008i | −0.774532 | − | 0.632535i | \(-0.782014\pi\) |
0.998404 | − | 0.0564732i | \(-0.0179855\pi\) | |||||||
\(294\) | −3.23024 | + | 2.34690i | −0.188391 | + | 0.136874i | ||||
\(295\) | −2.78129 | + | 2.02073i | −0.161933 | + | 0.117651i | ||||
\(296\) | 7.81967 | − | 24.0665i | 0.454509 | − | 1.39884i | ||||
\(297\) | 15.5811 | − | 11.3203i | 0.904106 | − | 0.656872i | ||||
\(298\) | −11.2317 | − | 8.16031i | −0.650635 | − | 0.472714i | ||||
\(299\) | 2.95191 | + | 9.08505i | 0.170714 | + | 0.525402i | ||||
\(300\) | 9.73434 | + | 7.07241i | 0.562012 | + | 0.408326i | ||||
\(301\) | 1.68832 | − | 5.19612i | 0.0973133 | − | 0.299499i | ||||
\(302\) | 3.27533 | − | 10.0804i | 0.188474 | − | 0.580064i | ||||
\(303\) | 1.06173 | + | 3.26767i | 0.0609947 | + | 0.187723i | ||||
\(304\) | −5.21907 | −0.299334 | ||||||||
\(305\) | −8.59046 | −0.491888 | ||||||||
\(306\) | −0.609367 | − | 1.87544i | −0.0348352 | − | 0.107212i | ||||
\(307\) | −24.8530 | + | 18.0568i | −1.41844 | + | 1.03055i | −0.426408 | + | 0.904531i | \(0.640221\pi\) |
−0.992027 | + | 0.126023i | \(0.959779\pi\) | |||||||
\(308\) | 3.87523 | + | 2.81552i | 0.220812 | + | 0.160429i | ||||
\(309\) | −5.63612 | −0.320628 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 2.38141 | 0.135037 | 0.0675187 | − | 0.997718i | \(-0.478492\pi\) | ||||
0.0675187 | + | 0.997718i | \(0.478492\pi\) | |||||||
\(312\) | −5.16241 | − | 3.75071i | −0.292264 | − | 0.212342i | ||||
\(313\) | 8.69337 | − | 6.31610i | 0.491378 | − | 0.357007i | −0.314336 | − | 0.949312i | \(-0.601782\pi\) |
0.805714 | + | 0.592305i | \(0.201782\pi\) | |||||||
\(314\) | −3.22735 | − | 9.93277i | −0.182130 | − | 0.560539i | ||||
\(315\) | −6.18610 | −0.348547 | ||||||||
\(316\) | −21.4888 | −1.20884 | ||||||||
\(317\) | 2.70277 | + | 8.31827i | 0.151803 | + | 0.467201i | 0.997823 | − | 0.0659501i | \(-0.0210078\pi\) |
−0.846020 | + | 0.533151i | \(0.821008\pi\) | |||||||
\(318\) | 0.687501 | − | 2.11591i | 0.0385531 | − | 0.118654i | ||||
\(319\) | −6.22625 | + | 19.1624i | −0.348603 | + | 1.07289i | ||||
\(320\) | −3.77029 | − | 2.73927i | −0.210765 | − | 0.153130i | ||||
\(321\) | 0.649008 | + | 1.99744i | 0.0362241 | + | 0.111486i | ||||
\(322\) | 1.39798 | + | 1.01569i | 0.0779065 | + | 0.0566024i | ||||
\(323\) | −4.02226 | + | 2.92235i | −0.223805 | + | 0.162604i | ||||
\(324\) | −1.09970 | + | 3.38452i | −0.0610943 | + | 0.188029i | ||||
\(325\) | −20.5877 | + | 14.9578i | −1.14200 | + | 0.829710i | ||||
\(326\) | −0.582840 | + | 0.423458i | −0.0322805 | + | 0.0234532i | ||||
\(327\) | 0.411824 | − | 1.26746i | 0.0227739 | − | 0.0700909i | ||||
\(328\) | −1.48624 | + | 1.07981i | −0.0820637 | + | 0.0596227i | ||||
\(329\) | 0.541058 | + | 0.393101i | 0.0298295 | + | 0.0216724i | ||||
\(330\) | −2.93380 | − | 9.02930i | −0.161500 | − | 0.497047i | ||||
\(331\) | −26.1872 | − | 19.0261i | −1.43938 | − | 1.04577i | −0.988172 | − | 0.153347i | \(-0.950995\pi\) |
−0.451204 | − | 0.892421i | \(-0.649005\pi\) | |||||||
\(332\) | −6.64653 | + | 20.4559i | −0.364776 | + | 1.12266i | ||||
\(333\) | −7.03290 | + | 21.6450i | −0.385400 | + | 1.18614i | ||||
\(334\) | −2.40538 | − | 7.40299i | −0.131616 | − | 0.405073i | ||||
\(335\) | −7.73721 | −0.422729 | ||||||||
\(336\) | 0.946258 | 0.0516226 | ||||||||
\(337\) | −8.57021 | − | 26.3764i | −0.466849 | − | 1.43681i | −0.856642 | − | 0.515912i | \(-0.827453\pi\) |
0.389792 | − | 0.920903i | \(-0.372547\pi\) | |||||||
\(338\) | −2.52875 | + | 1.83725i | −0.137546 | + | 0.0999331i | ||||
\(339\) | −4.65817 | − | 3.38436i | −0.252997 | − | 0.183813i | ||||
\(340\) | 7.39640 | 0.401126 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −5.72593 | −0.309623 | ||||||||
\(343\) | 8.28646 | + | 6.02047i | 0.447427 | + | 0.325075i | ||||
\(344\) | −14.0709 | + | 10.2231i | −0.758651 | + | 0.551192i | ||||
\(345\) | 3.39414 | + | 10.4461i | 0.182735 | + | 0.562399i | ||||
\(346\) | 14.2399 | 0.765540 | ||||||||
\(347\) | 25.9161 | 1.39125 | 0.695624 | − | 0.718407i | \(-0.255128\pi\) | ||||
0.695624 | + | 0.718407i | \(0.255128\pi\) | |||||||
\(348\) | 2.08136 | + | 6.40576i | 0.111572 | + | 0.343385i | ||||
\(349\) | 1.72862 | − | 5.32015i | 0.0925309 | − | 0.284781i | −0.894071 | − | 0.447924i | \(-0.852163\pi\) |
0.986602 | + | 0.163144i | \(0.0521634\pi\) | |||||||
\(350\) | −1.42251 | + | 4.37802i | −0.0760362 | + | 0.234015i | ||||
\(351\) | 11.0159 | + | 8.00348i | 0.587983 | + | 0.427194i | ||||
\(352\) | −7.38591 | − | 22.7315i | −0.393671 | − | 1.21159i | ||||
\(353\) | 9.44040 | + | 6.85885i | 0.502462 | + | 0.365060i | 0.809957 | − | 0.586490i | \(-0.199491\pi\) |
−0.307495 | + | 0.951550i | \(0.599491\pi\) | |||||||
\(354\) | 0.466759 | − | 0.339121i | 0.0248080 | − | 0.0180241i | ||||
\(355\) | −8.86312 | + | 27.2779i | −0.470406 | + | 1.44776i | ||||
\(356\) | 5.47002 | − | 3.97420i | 0.289910 | − | 0.210632i | ||||
\(357\) | 0.729269 | − | 0.529845i | 0.0385970 | − | 0.0280424i | ||||
\(358\) | −0.0280526 | + | 0.0863372i | −0.00148263 | + | 0.00456306i | ||||
\(359\) | −21.1961 | + | 15.3999i | −1.11869 | + | 0.812775i | −0.984010 | − | 0.178115i | \(-0.943000\pi\) |
−0.134679 | + | 0.990889i | \(0.543000\pi\) | |||||||
\(360\) | 15.9318 | + | 11.5751i | 0.839681 | + | 0.610064i | ||||
\(361\) | −1.41019 | − | 4.34013i | −0.0742207 | − | 0.228428i | ||||
\(362\) | −4.31299 | − | 3.13357i | −0.226686 | − | 0.164697i | ||||
\(363\) | 1.65595 | − | 5.09650i | 0.0869149 | − | 0.267497i | ||||
\(364\) | −1.04651 | + | 3.22082i | −0.0548519 | + | 0.168817i | ||||
\(365\) | 6.48169 | + | 19.9486i | 0.339267 | + | 1.04416i | ||||
\(366\) | 1.44166 | 0.0753567 | ||||||||
\(367\) | −27.0146 | −1.41015 | −0.705076 | − | 0.709132i | \(-0.749087\pi\) | ||||
−0.705076 | + | 0.709132i | \(0.749087\pi\) | |||||||
\(368\) | 1.39351 | + | 4.28877i | 0.0726416 | + | 0.223568i | ||||
\(369\) | 1.33670 | − | 0.971168i | 0.0695857 | − | 0.0505570i | ||||
\(370\) | 21.5346 | + | 15.6458i | 1.11953 | + | 0.813387i | ||||
\(371\) | −2.72967 | −0.141717 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −12.4058 | −0.642351 | −0.321175 | − | 0.947020i | \(-0.604078\pi\) | ||||
−0.321175 | + | 0.947020i | \(0.604078\pi\) | |||||||
\(374\) | −3.00403 | − | 2.18256i | −0.155335 | − | 0.112857i | ||||
\(375\) | −10.1384 | + | 7.36600i | −0.523546 | + | 0.380379i | ||||
\(376\) | −0.657899 | − | 2.02480i | −0.0339285 | − | 0.104421i | ||||
\(377\) | −14.2451 | −0.733658 | ||||||||
\(378\) | 2.46311 | 0.126688 | ||||||||
\(379\) | −1.43353 | − | 4.41196i | −0.0736357 | − | 0.226627i | 0.907464 | − | 0.420129i | \(-0.138015\pi\) |
−0.981100 | + | 0.193502i | \(0.938015\pi\) | |||||||
\(380\) | 6.63670 | − | 20.4257i | 0.340456 | − | 1.04782i | ||||
\(381\) | 0.399327 | − | 1.22900i | 0.0204582 | − | 0.0629638i | ||||
\(382\) | −11.7713 | − | 8.55236i | −0.602273 | − | 0.437577i | ||||
\(383\) | 1.55168 | + | 4.77557i | 0.0792870 | + | 0.244020i | 0.982841 | − | 0.184453i | \(-0.0590515\pi\) |
−0.903554 | + | 0.428474i | \(0.859051\pi\) | |||||||
\(384\) | −7.84683 | − | 5.70106i | −0.400432 | − | 0.290931i | ||||
\(385\) | −9.42378 | + | 6.84677i | −0.480280 | + | 0.348944i | ||||
\(386\) | −1.20664 | + | 3.71365i | −0.0614162 | + | 0.189020i | ||||
\(387\) | 12.6551 | − | 9.19450i | 0.643297 | − | 0.467383i | ||||
\(388\) | −6.50958 | + | 4.72949i | −0.330474 | + | 0.240103i | ||||
\(389\) | −5.74828 | + | 17.6914i | −0.291450 | + | 0.896989i | 0.692941 | + | 0.720994i | \(0.256314\pi\) |
−0.984391 | + | 0.175996i | \(0.943686\pi\) | |||||||
\(390\) | 5.43032 | − | 3.94536i | 0.274975 | − | 0.199781i | ||||
\(391\) | 3.47540 | + | 2.52503i | 0.175758 | + | 0.127696i | ||||
\(392\) | −4.81914 | − | 14.8318i | −0.243403 | − | 0.749118i | ||||
\(393\) | −4.59418 | − | 3.33787i | −0.231746 | − | 0.168373i | ||||
\(394\) | 3.39089 | − | 10.4361i | 0.170830 | − | 0.525762i | ||||
\(395\) | 16.1481 | − | 49.6988i | 0.812500 | − | 2.50062i | ||||
\(396\) | 4.23798 | + | 13.0432i | 0.212966 | + | 0.655443i | ||||
\(397\) | 32.5588 | 1.63408 | 0.817040 | − | 0.576581i | \(-0.195614\pi\) | ||||
0.817040 | + | 0.576581i | \(0.195614\pi\) | |||||||
\(398\) | −2.93824 | −0.147281 | ||||||||
\(399\) | −0.808838 | − | 2.48935i | −0.0404926 | − | 0.124623i | ||||
\(400\) | −9.71880 | + | 7.06112i | −0.485940 | + | 0.353056i | ||||
\(401\) | −10.0239 | − | 7.28282i | −0.500572 | − | 0.363687i | 0.308664 | − | 0.951171i | \(-0.400118\pi\) |
−0.809235 | + | 0.587485i | \(0.800118\pi\) | |||||||
\(402\) | 1.29847 | 0.0647616 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −5.80481 | −0.288800 | ||||||||
\(405\) | −7.00125 | − | 5.08671i | −0.347895 | − | 0.252760i | ||||
\(406\) | −2.08471 | + | 1.51463i | −0.103462 | + | 0.0751697i | ||||
\(407\) | 13.2429 | + | 40.7576i | 0.656429 | + | 2.02028i | ||||
\(408\) | −2.86960 | −0.142066 | ||||||||
\(409\) | 3.44808 | 0.170497 | 0.0852484 | − | 0.996360i | \(-0.472832\pi\) | ||||
0.0852484 | + | 0.996360i | \(0.472832\pi\) | |||||||
\(410\) | −0.597153 | − | 1.83785i | −0.0294913 | − | 0.0907649i | ||||
\(411\) | −3.55540 | + | 10.9424i | −0.175375 | + | 0.539749i | ||||
\(412\) | 2.94252 | − | 9.05613i | 0.144967 | − | 0.446164i | ||||
\(413\) | −0.572681 | − | 0.416077i | −0.0281798 | − | 0.0204738i | ||||
\(414\) | 1.52884 | + | 4.70529i | 0.0751385 | + | 0.231252i | ||||
\(415\) | −42.3153 | − | 30.7439i | −2.07718 | − | 1.50916i | ||||
\(416\) | 13.6710 | − | 9.93255i | 0.670275 | − | 0.486983i | ||||
\(417\) | −5.21846 | + | 16.0608i | −0.255549 | + | 0.786500i | ||||
\(418\) | −8.72276 | + | 6.33746i | −0.426644 | + | 0.309975i | ||||
\(419\) | 32.3988 | − | 23.5391i | 1.58279 | − | 1.14996i | 0.669374 | − | 0.742926i | \(-0.266563\pi\) |
0.913412 | − | 0.407035i | \(-0.133437\pi\) | |||||||
\(420\) | −1.20329 | + | 3.70334i | −0.0587144 | + | 0.180704i | ||||
\(421\) | −17.5431 | + | 12.7458i | −0.854997 | + | 0.621191i | −0.926519 | − | 0.376248i | \(-0.877214\pi\) |
0.0715226 | + | 0.997439i | \(0.477214\pi\) | |||||||
\(422\) | −6.41945 | − | 4.66400i | −0.312494 | − | 0.227040i | ||||
\(423\) | 0.591704 | + | 1.82108i | 0.0287696 | + | 0.0885439i | ||||
\(424\) | 7.03006 | + | 5.10763i | 0.341410 | + | 0.248049i | ||||
\(425\) | −3.53637 | + | 10.8838i | −0.171539 | + | 0.527943i | ||||
\(426\) | 1.48742 | − | 4.57780i | 0.0720656 | − | 0.221795i | ||||
\(427\) | −0.546594 | − | 1.68224i | −0.0264515 | − | 0.0814094i | ||||
\(428\) | −3.54833 | −0.171515 | ||||||||
\(429\) | 10.8066 | 0.521750 | ||||||||
\(430\) | −5.65353 | − | 17.3998i | −0.272637 | − | 0.839091i | ||||
\(431\) | 9.40132 | − | 6.83046i | 0.452846 | − | 0.329012i | −0.337873 | − | 0.941192i | \(-0.609707\pi\) |
0.790718 | + | 0.612180i | \(0.209707\pi\) | |||||||
\(432\) | 5.20024 | + | 3.77820i | 0.250197 | + | 0.181779i | ||||
\(433\) | −24.5964 | −1.18203 | −0.591015 | − | 0.806661i | \(-0.701272\pi\) | ||||
−0.591015 | + | 0.806661i | \(0.701272\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −16.3791 | −0.785320 | ||||||||
\(436\) | 1.82156 | + | 1.32344i | 0.0872368 | + | 0.0633813i | ||||
\(437\) | 10.0915 | − | 7.33188i | 0.482740 | − | 0.350731i | ||||
\(438\) | −1.08776 | − | 3.34779i | −0.0519753 | − | 0.159964i | ||||
\(439\) | 18.1932 | 0.868316 | 0.434158 | − | 0.900837i | \(-0.357046\pi\) | ||||
0.434158 | + | 0.900837i | \(0.357046\pi\) | |||||||
\(440\) | 37.0816 | 1.76779 | ||||||||
\(441\) | 4.33426 | + | 13.3395i | 0.206393 | + | 0.635214i | ||||
\(442\) | 0.811240 | − | 2.49674i | 0.0385868 | − | 0.118758i | ||||
\(443\) | 5.48825 | − | 16.8911i | 0.260754 | − | 0.802520i | −0.731887 | − | 0.681426i | \(-0.761360\pi\) |
0.992641 | − | 0.121093i | \(-0.0386400\pi\) | |||||||
\(444\) | 11.5899 | + | 8.42056i | 0.550032 | + | 0.399622i | ||||
\(445\) | 5.08090 | + | 15.6374i | 0.240858 | + | 0.741284i | ||||
\(446\) | −5.25676 | − | 3.81926i | −0.248915 | − | 0.180847i | ||||
\(447\) | 14.6999 | − | 10.6801i | 0.695283 | − | 0.505153i | ||||
\(448\) | 0.296527 | − | 0.912617i | 0.0140096 | − | 0.0431171i | ||||
\(449\) | −7.44180 | + | 5.40679i | −0.351200 | + | 0.255162i | −0.749372 | − | 0.662149i | \(-0.769645\pi\) |
0.398172 | + | 0.917311i | \(0.369645\pi\) | |||||||
\(450\) | −10.6627 | + | 7.74688i | −0.502643 | + | 0.365192i | ||||
\(451\) | 0.961410 | − | 2.95892i | 0.0452710 | − | 0.139330i | ||||
\(452\) | 7.86994 | − | 5.71785i | 0.370171 | − | 0.268945i | ||||
\(453\) | 11.2228 | + | 8.15383i | 0.527292 | + | 0.383100i | ||||
\(454\) | −4.63694 | − | 14.2710i | −0.217622 | − | 0.669773i | ||||
\(455\) | −6.66262 | − | 4.84068i | −0.312349 | − | 0.226935i | ||||
\(456\) | −2.57485 | + | 7.92459i | −0.120579 | + | 0.371103i | ||||
\(457\) | 9.64130 | − | 29.6729i | 0.451001 | − | 1.38804i | −0.424766 | − | 0.905303i | \(-0.639644\pi\) |
0.875767 | − | 0.482735i | \(-0.160356\pi\) | |||||||
\(458\) | 3.61271 | + | 11.1188i | 0.168811 | + | 0.519546i | ||||
\(459\) | 6.12331 | 0.285812 | ||||||||
\(460\) | −18.5568 | −0.865218 | ||||||||
\(461\) | 2.06067 | + | 6.34209i | 0.0959750 | + | 0.295381i | 0.987507 | − | 0.157578i | \(-0.0503685\pi\) |
−0.891532 | + | 0.452959i | \(0.850369\pi\) | |||||||
\(462\) | 1.58151 | − | 1.14903i | 0.0735784 | − | 0.0534578i | ||||
\(463\) | 28.5732 | + | 20.7597i | 1.32791 | + | 0.964784i | 0.999797 | + | 0.0201457i | \(0.00641301\pi\) |
0.328114 | + | 0.944638i | \(0.393587\pi\) | |||||||
\(464\) | −6.72466 | −0.312184 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 6.78192 | 0.314167 | ||||||||
\(467\) | −29.0789 | − | 21.1270i | −1.34561 | − | 0.977642i | −0.999218 | − | 0.0395520i | \(-0.987407\pi\) |
−0.346391 | − | 0.938090i | \(-0.612593\pi\) | |||||||
\(468\) | −7.84430 | + | 5.69922i | −0.362603 | + | 0.263447i | ||||
\(469\) | −0.492303 | − | 1.51515i | −0.0227324 | − | 0.0699632i | ||||
\(470\) | 2.23949 | 0.103300 | ||||||||
\(471\) | 13.6689 | 0.629830 | ||||||||
\(472\) | 0.696351 | + | 2.14315i | 0.0320521 | + | 0.0986463i | ||||
\(473\) | 9.10211 | − | 28.0134i | 0.418516 | − | 1.28806i | ||||
\(474\) | −2.70999 | + | 8.34050i | −0.124474 | + | 0.383092i | ||||
\(475\) | 26.8833 | + | 19.5318i | 1.23349 | + | 0.896183i | ||||
\(476\) | 0.470618 | + | 1.44841i | 0.0215707 | + | 0.0663879i | ||||
\(477\) | −6.32273 | − | 4.59373i | −0.289498 | − | 0.210332i | ||||
\(478\) | −0.329463 | + | 0.239369i | −0.0150693 | + | 0.0109485i | ||||
\(479\) | 10.2731 | − | 31.6173i | 0.469389 | − | 1.44463i | −0.383988 | − | 0.923338i | \(-0.625450\pi\) |
0.853377 | − | 0.521294i | \(-0.174550\pi\) | |||||||
\(480\) | 15.7191 | − | 11.4206i | 0.717474 | − | 0.521275i | ||||
\(481\) | −24.5121 | + | 17.8091i | −1.11765 | + | 0.812024i | ||||
\(482\) | 3.27490 | − | 10.0791i | 0.149168 | − | 0.459091i | ||||
\(483\) | −1.82966 | + | 1.32933i | −0.0832526 | + | 0.0604865i | ||||
\(484\) | 7.32452 | + | 5.32158i | 0.332933 | + | 0.241890i | ||||
\(485\) | −6.04652 | − | 18.6093i | −0.274558 | − | 0.845003i | ||||
\(486\) | 9.00588 | + | 6.54316i | 0.408515 | + | 0.296804i | ||||
\(487\) | −8.81173 | + | 27.1197i | −0.399298 | + | 1.22891i | 0.526266 | + | 0.850320i | \(0.323592\pi\) |
−0.925564 | + | 0.378592i | \(0.876408\pi\) | |||||||
\(488\) | −1.74002 | + | 5.35524i | −0.0787672 | + | 0.242420i | ||||
\(489\) | −0.291369 | − | 0.896743i | −0.0131762 | − | 0.0405521i | ||||
\(490\) | 16.4044 | 0.741075 | ||||||||
\(491\) | 27.9636 | 1.26198 | 0.630991 | − | 0.775790i | \(-0.282649\pi\) | ||||
0.630991 | + | 0.775790i | \(0.282649\pi\) | |||||||
\(492\) | −0.321387 | − | 0.989128i | −0.0144892 | − | 0.0445933i | ||||
\(493\) | −5.18260 | + | 3.76538i | −0.233413 | + | 0.169584i | ||||
\(494\) | −6.16701 | − | 4.48059i | −0.277467 | − | 0.201591i | ||||
\(495\) | −33.3506 | −1.49900 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −5.90568 | −0.264906 | ||||||||
\(498\) | 7.10139 | + | 5.15946i | 0.318221 | + | 0.231201i | ||||
\(499\) | −33.4164 | + | 24.2784i | −1.49592 | + | 1.08685i | −0.523955 | + | 0.851746i | \(0.675544\pi\) |
−0.971970 | + | 0.235106i | \(0.924456\pi\) | |||||||
\(500\) | −6.54262 | − | 20.1361i | −0.292595 | − | 0.900514i | ||||
\(501\) | 10.1876 | 0.455147 | ||||||||
\(502\) | −4.17247 | −0.186226 | ||||||||
\(503\) | −7.90652 | − | 24.3338i | −0.352534 | − | 1.08499i | −0.957425 | − | 0.288681i | \(-0.906783\pi\) |
0.604891 | − | 0.796308i | \(-0.293217\pi\) | |||||||
\(504\) | −1.25301 | + | 3.85638i | −0.0558136 | + | 0.171777i | ||||
\(505\) | 4.36212 | − | 13.4252i | 0.194112 | − | 0.597414i | ||||
\(506\) | 7.53682 | + | 5.47582i | 0.335053 | + | 0.243430i | ||||
\(507\) | −1.26416 | − | 3.89068i | −0.0561432 | − | 0.172791i | ||||
\(508\) | 1.76629 | + | 1.28328i | 0.0783662 | + | 0.0569364i | ||||
\(509\) | −19.7949 | + | 14.3818i | −0.877392 | + | 0.637462i | −0.932560 | − | 0.361015i | \(-0.882430\pi\) |
0.0551686 | + | 0.998477i | \(0.482430\pi\) | |||||||
\(510\) | 0.932774 | − | 2.87078i | 0.0413039 | − | 0.127120i | ||||
\(511\) | −3.49405 | + | 2.53858i | −0.154568 | + | 0.112300i | ||||
\(512\) | 11.8548 | − | 8.61304i | 0.523915 | − | 0.380646i | ||||
\(513\) | 5.49437 | − | 16.9099i | 0.242583 | − | 0.746592i | ||||
\(514\) | −2.52568 | + | 1.83501i | −0.111403 | + | 0.0809390i | ||||
\(515\) | 18.7336 | + | 13.6108i | 0.825501 | + | 0.599762i | ||||
\(516\) | −3.04272 | − | 9.36453i | −0.133948 | − | 0.412250i | ||||
\(517\) | 2.91696 | + | 2.11929i | 0.128288 | + | 0.0932065i | ||||
\(518\) | −1.69367 | + | 5.21257i | −0.0744154 | + | 0.229027i | ||||
\(519\) | −5.75915 | + | 17.7248i | −0.252799 | + | 0.778034i | ||||
\(520\) | 8.10141 | + | 24.9336i | 0.355270 | + | 1.09341i | ||||
\(521\) | 14.9656 | 0.655654 | 0.327827 | − | 0.944738i | \(-0.393684\pi\) | ||||
0.327827 | + | 0.944738i | \(0.393684\pi\) | |||||||
\(522\) | −7.37774 | −0.322915 | ||||||||
\(523\) | 6.47873 | + | 19.9395i | 0.283295 | + | 0.871893i | 0.986904 | + | 0.161306i | \(0.0515706\pi\) |
−0.703609 | + | 0.710587i | \(0.748429\pi\) | |||||||
\(524\) | 7.76183 | − | 5.63930i | 0.339077 | − | 0.246354i | ||||
\(525\) | −4.87415 | − | 3.54128i | −0.212726 | − | 0.154554i | ||||
\(526\) | −1.72984 | −0.0754247 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 5.10148 | 0.222014 | ||||||||
\(529\) | 9.88796 | + | 7.18402i | 0.429911 | + | 0.312349i | ||||
\(530\) | −7.39489 | + | 5.37271i | −0.321214 | + | 0.233375i | ||||
\(531\) | −0.626287 | − | 1.92751i | −0.0271786 | − | 0.0836470i | ||||
\(532\) | 4.42217 | 0.191726 | ||||||||
\(533\) | 2.19961 | 0.0952759 | ||||||||
\(534\) | −0.852681 | − | 2.62428i | −0.0368991 | − | 0.113564i | ||||
\(535\) | 2.66645 | − | 8.20649i | 0.115281 | − | 0.354798i | ||||
\(536\) | −1.56719 | + | 4.82333i | −0.0676925 | + | 0.208336i | ||||
\(537\) | −0.0961211 | − | 0.0698361i | −0.00414793 | − | 0.00301365i | ||||
\(538\) | 2.84224 | + | 8.74751i | 0.122538 | + | 0.377132i | ||||
\(539\) | 21.3669 | + | 15.5239i | 0.920336 | + | 0.668663i | ||||
\(540\) | −21.3994 | + | 15.5476i | −0.920883 | + | 0.669060i | ||||
\(541\) | 0.535002 | − | 1.64657i | 0.0230015 | − | 0.0707914i | −0.938897 | − | 0.344199i | \(-0.888151\pi\) |
0.961898 | + | 0.273407i | \(0.0881507\pi\) | |||||||
\(542\) | −7.71128 | + | 5.60257i | −0.331228 | + | 0.240651i | ||||
\(543\) | 5.64480 | − | 4.10118i | 0.242241 | − | 0.175999i | ||||
\(544\) | 2.34828 | − | 7.22727i | 0.100682 | − | 0.309867i | ||||
\(545\) | −4.42966 | + | 3.21834i | −0.189746 | + | 0.137858i | ||||
\(546\) | 1.11813 | + | 0.812367i | 0.0478514 | + | 0.0347661i | ||||
\(547\) | −4.05474 | − | 12.4792i | −0.173368 | − | 0.533573i | 0.826187 | − | 0.563396i | \(-0.190506\pi\) |
−0.999555 | + | 0.0298233i | \(0.990506\pi\) | |||||||
\(548\) | −15.7261 | − | 11.4257i | −0.671785 | − | 0.488080i | ||||
\(549\) | 1.56495 | − | 4.81643i | 0.0667905 | − | 0.205560i | ||||
\(550\) | −7.66904 | + | 23.6029i | −0.327009 | + | 1.00643i | ||||
\(551\) | 5.74807 | + | 17.6908i | 0.244876 | + | 0.753651i | ||||
\(552\) | 7.19953 | 0.306432 | ||||||||
\(553\) | 10.7598 | 0.457554 | ||||||||
\(554\) | 2.46532 | + | 7.58748i | 0.104741 | + | 0.322361i | ||||
\(555\) | −28.1843 | + | 20.4771i | −1.19636 | + | 0.869204i | ||||
\(556\) | −23.0820 | − | 16.7701i | −0.978897 | − | 0.711210i | ||||
\(557\) | 28.0246 | 1.18744 | 0.593721 | − | 0.804671i | \(-0.297658\pi\) | ||||
0.593721 | + | 0.804671i | \(0.297658\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 20.8248 | 0.880794 | ||||||||
\(560\) | −3.14522 | − | 2.28514i | −0.132910 | − | 0.0965646i | ||||
\(561\) | 3.93165 | − | 2.85651i | 0.165994 | − | 0.120602i | ||||
\(562\) | 3.28106 | + | 10.0981i | 0.138403 | + | 0.425961i | ||||
\(563\) | 22.6519 | 0.954662 | 0.477331 | − | 0.878723i | \(-0.341604\pi\) | ||||
0.477331 | + | 0.878723i | \(0.341604\pi\) | |||||||
\(564\) | 1.20529 | 0.0507520 | ||||||||
\(565\) | 7.31010 | + | 22.4982i | 0.307538 | + | 0.946505i | ||||
\(566\) | 4.83566 | − | 14.8826i | 0.203258 | − | 0.625564i | ||||
\(567\) | 0.550638 | − | 1.69469i | 0.0231246 | − | 0.0711702i | ||||
\(568\) | 15.2096 | + | 11.0504i | 0.638181 | + | 0.463666i | ||||
\(569\) | 14.3514 | + | 44.1690i | 0.601641 | + | 1.85166i | 0.518414 | + | 0.855130i | \(0.326522\pi\) |
0.0832264 | + | 0.996531i | \(0.473478\pi\) | |||||||
\(570\) | −7.09090 | − | 5.15184i | −0.297005 | − | 0.215787i | ||||
\(571\) | −10.1114 | + | 7.34635i | −0.423148 | + | 0.307435i | −0.778903 | − | 0.627144i | \(-0.784224\pi\) |
0.355755 | + | 0.934579i | \(0.384224\pi\) | |||||||
\(572\) | −5.64195 | + | 17.3642i | −0.235902 | + | 0.726032i | ||||
\(573\) | 15.4062 | − | 11.1932i | 0.643602 | − | 0.467604i | ||||
\(574\) | 0.321904 | − | 0.233877i | 0.0134360 | − | 0.00976184i | ||||
\(575\) | 8.87240 | − | 27.3064i | 0.370005 | − | 1.13876i | ||||
\(576\) | 2.22268 | − | 1.61487i | 0.0926115 | − | 0.0672862i | ||||
\(577\) | 24.6623 | + | 17.9182i | 1.02671 | + | 0.745945i | 0.967647 | − | 0.252309i | \(-0.0811900\pi\) |
0.0590589 | + | 0.998255i | \(0.481190\pi\) | |||||||
\(578\) | 3.25729 | + | 10.0249i | 0.135485 | + | 0.416981i | ||||
\(579\) | −4.13449 | − | 3.00388i | −0.171823 | − | 0.124837i | ||||
\(580\) | 8.55126 | − | 26.3181i | 0.355072 | − | 1.09280i | ||||
\(581\) | 3.32803 | − | 10.2426i | 0.138070 | − | 0.424936i | ||||
\(582\) | 1.01473 | + | 3.12302i | 0.0420620 | + | 0.129453i | ||||
\(583\) | −14.7162 | −0.609485 | ||||||||
\(584\) | 13.7487 | 0.568926 | ||||||||
\(585\) | −7.28629 | − | 22.4249i | −0.301251 | − | 0.927155i | ||||
\(586\) | 6.91734 | − | 5.02574i | 0.285753 | − | 0.207612i | ||||
\(587\) | 27.2300 | + | 19.7837i | 1.12390 | + | 0.816562i | 0.984796 | − | 0.173716i | \(-0.0555774\pi\) |
0.139105 | + | 0.990278i | \(0.455577\pi\) | |||||||
\(588\) | 8.82883 | 0.364095 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | −2.37039 | −0.0975872 | ||||||||
\(591\) | 11.6187 | + | 8.44150i | 0.477930 | + | 0.347237i | ||||
\(592\) | −11.5714 | + | 8.40712i | −0.475582 | + | 0.345530i | ||||
\(593\) | −13.8711 | − | 42.6909i | −0.569619 | − | 1.75311i | −0.653812 | − | 0.756657i | \(-0.726831\pi\) |
0.0841933 | − | 0.996449i | \(-0.473169\pi\) | |||||||
\(594\) | 13.2791 | 0.544850 | ||||||||
\(595\) | −3.70351 | −0.151829 | ||||||||
\(596\) | 9.48629 | + | 29.1958i | 0.388574 | + | 1.19591i | ||||
\(597\) | 1.18834 | − | 3.65733i | 0.0486354 | − | 0.149684i | ||||
\(598\) | −2.03532 | + | 6.26408i | −0.0832305 | + | 0.256157i | ||||
\(599\) | 15.8443 | + | 11.5115i | 0.647380 | + | 0.470349i | 0.862378 | − | 0.506265i | \(-0.168974\pi\) |
−0.214998 | + | 0.976615i | \(0.568974\pi\) | |||||||
\(600\) | 5.92673 | + | 18.2406i | 0.241958 | + | 0.744669i | ||||
\(601\) | 24.6422 | + | 17.9036i | 1.00518 | + | 0.730304i | 0.963192 | − | 0.268814i | \(-0.0866318\pi\) |
0.0419852 | + | 0.999118i | \(0.486632\pi\) | |||||||
\(602\) | 3.04762 | − | 2.21422i | 0.124212 | − | 0.0902450i | ||||
\(603\) | 1.40951 | − | 4.33803i | 0.0573997 | − | 0.176658i | ||||
\(604\) | −18.9608 | + | 13.7758i | −0.771504 | + | 0.560531i | ||||
\(605\) | −17.8117 | + | 12.9410i | −0.724150 | + | 0.526126i | ||||
\(606\) | −0.732055 | + | 2.25303i | −0.0297377 | + | 0.0915232i | ||||
\(607\) | 10.8203 | − | 7.86137i | 0.439180 | − | 0.319083i | −0.346129 | − | 0.938187i | \(-0.612504\pi\) |
0.785309 | + | 0.619104i | \(0.212504\pi\) | |||||||
\(608\) | −17.8515 | − | 12.9699i | −0.723975 | − | 0.525998i | ||||
\(609\) | −1.04217 | − | 3.20747i | −0.0422309 | − | 0.129973i | ||||
\(610\) | −4.79186 | − | 3.48149i | −0.194017 | − | 0.140961i | ||||
\(611\) | −0.787726 | + | 2.42437i | −0.0318680 | + | 0.0980796i | ||||
\(612\) | −1.34743 | + | 4.14695i | −0.0544665 | + | 0.167631i | ||||
\(613\) | 1.60541 | + | 4.94093i | 0.0648418 | + | 0.199562i | 0.978229 | − | 0.207530i | \(-0.0665426\pi\) |
−0.913387 | + | 0.407093i | \(0.866543\pi\) | |||||||
\(614\) | −21.1812 | −0.854804 | ||||||||
\(615\) | 2.52914 | 0.101985 | ||||||||
\(616\) | 2.35942 | + | 7.26156i | 0.0950639 | + | 0.292577i | ||||
\(617\) | 24.2811 | − | 17.6412i | 0.977520 | − | 0.710210i | 0.0203666 | − | 0.999793i | \(-0.493517\pi\) |
0.957153 | + | 0.289583i | \(0.0935166\pi\) | |||||||
\(618\) | −3.14389 | − | 2.28417i | −0.126466 | − | 0.0918828i | ||||
\(619\) | −18.3260 | −0.736584 | −0.368292 | − | 0.929710i | \(-0.620057\pi\) | ||||
−0.368292 | + | 0.929710i | \(0.620057\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −15.3628 | −0.616487 | ||||||||
\(622\) | 1.32838 | + | 0.965124i | 0.0532631 | + | 0.0386979i | ||||
\(623\) | −2.73893 | + | 1.98995i | −0.109733 | + | 0.0797257i | ||||
\(624\) | 1.11455 | + | 3.43023i | 0.0446177 | + | 0.137319i | ||||
\(625\) | 7.75849 | 0.310339 | ||||||||
\(626\) | 7.40901 | 0.296123 | ||||||||
\(627\) | −4.36062 | − | 13.4206i | −0.174147 | − | 0.535968i | ||||
\(628\) | −7.13629 | + | 21.9632i | −0.284769 | + | 0.876429i | ||||
\(629\) | −4.21047 | + | 12.9585i | −0.167883 | + | 0.516689i | ||||
\(630\) | −3.45068 | − | 2.50706i | −0.137478 | − | 0.0998838i | ||||
\(631\) | −3.19376 | − | 9.82937i | −0.127141 | − | 0.391301i | 0.867144 | − | 0.498058i | \(-0.165953\pi\) |
−0.994285 | + | 0.106757i | \(0.965953\pi\) | |||||||
\(632\) | −27.7111 | − | 20.1333i | −1.10229 | − | 0.800859i | ||||
\(633\) | 8.40171 | − | 6.10420i | 0.333938 | − | 0.242620i | ||||
\(634\) | −1.86354 | + | 5.73539i | −0.0740106 | + | 0.227781i | ||||
\(635\) | −4.29525 | + | 3.12068i | −0.170452 | + | 0.123840i | ||||
\(636\) | −3.97992 | + | 2.89158i | −0.157814 | + | 0.114659i | ||||
\(637\) | −5.77013 | + | 17.7586i | −0.228621 | + | 0.703623i | ||||
\(638\) | −11.2391 | + | 8.16569i | −0.444960 | + | 0.323283i | ||||
\(639\) | −13.6793 | − | 9.93860i | −0.541145 | − | 0.393165i | ||||
\(640\) | 12.3141 | + | 37.8989i | 0.486757 | + | 1.49809i | ||||
\(641\) | 0.0819146 | + | 0.0595144i | 0.00323543 | + | 0.00235068i | 0.589402 | − | 0.807840i | \(-0.299364\pi\) |
−0.586166 | + | 0.810191i | \(0.699364\pi\) | |||||||
\(642\) | −0.447486 | + | 1.37722i | −0.0176609 | + | 0.0543546i | ||||
\(643\) | 4.23719 | − | 13.0407i | 0.167098 | − | 0.514276i | −0.832086 | − | 0.554646i | \(-0.812854\pi\) |
0.999185 | + | 0.0403701i | \(0.0128537\pi\) | |||||||
\(644\) | −1.18073 | − | 3.63393i | −0.0465275 | − | 0.143197i | ||||
\(645\) | 23.9446 | 0.942816 | ||||||||
\(646\) | −3.42801 | −0.134873 | ||||||||
\(647\) | 3.34800 | + | 10.3041i | 0.131624 | + | 0.405096i | 0.995050 | − | 0.0993798i | \(-0.0316859\pi\) |
−0.863426 | + | 0.504476i | \(0.831686\pi\) | |||||||
\(648\) | −4.58915 | + | 3.33421i | −0.180279 | + | 0.130980i | ||||
\(649\) | −3.08745 | − | 2.24316i | −0.121193 | − | 0.0880518i | ||||
\(650\) | −17.5460 | −0.688212 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.59301 | 0.0623870 | ||||||||
\(653\) | 19.6204 | + | 14.2551i | 0.767807 | + | 0.557844i | 0.901295 | − | 0.433206i | \(-0.142618\pi\) |
−0.133488 | + | 0.991050i | \(0.542618\pi\) | |||||||
\(654\) | 0.743389 | − | 0.540104i | 0.0290688 | − | 0.0211197i | ||||
\(655\) | 7.20968 | + | 22.1891i | 0.281706 | + | 0.867001i | ||||
\(656\) | 1.03837 | 0.0405415 | ||||||||
\(657\) | −12.3654 | −0.482420 | ||||||||
\(658\) | 0.142494 | + | 0.438553i | 0.00555501 | + | 0.0170966i | ||||
\(659\) | −2.63699 | + | 8.11583i | −0.102723 | + | 0.316148i | −0.989189 | − | 0.146645i | \(-0.953153\pi\) |
0.886467 | + | 0.462793i | \(0.153153\pi\) | |||||||
\(660\) | −6.48719 | + | 19.9655i | −0.252513 | + | 0.777156i | ||||
\(661\) | −30.6490 | − | 22.2678i | −1.19211 | − | 0.866116i | −0.198621 | − | 0.980076i | \(-0.563646\pi\) |
−0.993485 | + | 0.113960i | \(0.963646\pi\) | |||||||
\(662\) | −6.89672 | − | 21.2259i | −0.268049 | − | 0.824969i | ||||
\(663\) | 2.77968 | + | 2.01956i | 0.107954 | + | 0.0784330i | ||||
\(664\) | −27.7366 | + | 20.1518i | −1.07639 | + | 0.782043i | ||||
\(665\) | −3.32311 | + | 10.2275i | −0.128865 | + | 0.396605i | ||||
\(666\) | −12.6952 | + | 9.22360i | −0.491929 | + | 0.357407i | ||||
\(667\) | 13.0026 | − | 9.44697i | 0.503464 | − | 0.365788i | ||||
\(668\) | −5.31875 | + | 16.3694i | −0.205788 | + | 0.633352i | ||||
\(669\) | 6.88000 | − | 4.99861i | 0.265996 | − | 0.193257i | ||||
\(670\) | −4.31590 | − | 3.13569i | −0.166738 | − | 0.121142i | ||||
\(671\) | −2.94680 | − | 9.06933i | −0.113760 | − | 0.350118i | ||||
\(672\) | 3.23662 | + | 2.35154i | 0.124855 | + | 0.0907128i | ||||
\(673\) | −2.20023 | + | 6.77162i | −0.0848128 | + | 0.261027i | −0.984465 | − | 0.175580i | \(-0.943820\pi\) |
0.899652 | + | 0.436607i | \(0.143820\pi\) | |||||||
\(674\) | 5.90910 | − | 18.1863i | 0.227610 | − | 0.700512i | ||||
\(675\) | −12.6468 | − | 38.9228i | −0.486775 | − | 1.49814i | ||||
\(676\) | 6.91154 | 0.265829 | ||||||||
\(677\) | −48.0610 | −1.84713 | −0.923567 | − | 0.383438i | \(-0.874740\pi\) | ||||
−0.923567 | + | 0.383438i | \(0.874740\pi\) | |||||||
\(678\) | −1.22679 | − | 3.77566i | −0.0471145 | − | 0.145004i | ||||
\(679\) | 3.25946 | − | 2.36814i | 0.125087 | − | 0.0908808i | ||||
\(680\) | 9.53810 | + | 6.92984i | 0.365769 | + | 0.265747i | ||||
\(681\) | 19.6390 | 0.752567 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 32.5731 | 1.24638 | 0.623188 | − | 0.782072i | \(-0.285837\pi\) | ||||
0.623188 | + | 0.782072i | \(0.285837\pi\) | |||||||
\(684\) | 10.2431 | + | 7.44202i | 0.391653 | + | 0.284553i | ||||
\(685\) | 38.2426 | − | 27.7849i | 1.46118 | − | 1.06161i | ||||
\(686\) | 2.18235 | + | 6.71657i | 0.0833224 | + | 0.256440i | ||||
\(687\) | −15.3010 | −0.583770 | ||||||||
\(688\) | 9.83073 | 0.374793 | ||||||||
\(689\) | −3.21514 | − | 9.89518i | −0.122487 | − | 0.376976i | ||||
\(690\) | −2.34024 | + | 7.20251i | −0.0890913 | + | 0.274195i | ||||
\(691\) | 8.42167 | − | 25.9192i | 0.320375 | − | 0.986014i | −0.653110 | − | 0.757263i | \(-0.726536\pi\) |
0.973485 | − | 0.228750i | \(-0.0734640\pi\) | |||||||
\(692\) | −25.4736 | − | 18.5076i | −0.968360 | − | 0.703555i | ||||
\(693\) | −2.12203 | − | 6.53094i | −0.0806093 | − | 0.248090i | ||||
\(694\) | 14.4563 | + | 10.5031i | 0.548753 | + | 0.398692i | ||||
\(695\) | 56.1308 | − | 40.7814i | 2.12916 | − | 1.54693i | ||||
\(696\) | −3.31765 | + | 10.2107i | −0.125755 | + | 0.387034i | ||||
\(697\) | 0.800258 | − | 0.581421i | 0.0303119 | − | 0.0220229i | ||||
\(698\) | 3.12036 | − | 2.26707i | 0.118107 | − | 0.0858100i | ||||
\(699\) | −2.74287 | + | 8.44168i | −0.103745 | + | 0.319294i | ||||
\(700\) | 8.23485 | − | 5.98297i | 0.311248 | − | 0.226135i | ||||
\(701\) | −6.86787 | − | 4.98980i | −0.259396 | − | 0.188462i | 0.450485 | − | 0.892784i | \(-0.351251\pi\) |
−0.709881 | + | 0.704322i | \(0.751251\pi\) | |||||||
\(702\) | 2.90117 | + | 8.92887i | 0.109497 | + | 0.336998i | ||||
\(703\) | 32.0078 | + | 23.2550i | 1.20720 | + | 0.877080i | ||||
\(704\) | 1.59864 | − | 4.92012i | 0.0602511 | − | 0.185434i | ||||
\(705\) | −0.905737 | + | 2.78757i | −0.0341120 | + | 0.104986i | ||||
\(706\) | 2.48625 | + | 7.65189i | 0.0935712 | + | 0.287983i | ||||
\(707\) | 2.90657 | 0.109313 | ||||||||
\(708\) | −1.27574 | −0.0479452 | ||||||||
\(709\) | 7.22670 | + | 22.2415i | 0.271404 | + | 0.835297i | 0.990148 | + | 0.140022i | \(0.0447174\pi\) |
−0.718744 | + | 0.695275i | \(0.755283\pi\) | |||||||
\(710\) | −15.9990 | + | 11.6239i | −0.600430 | + | 0.436238i | ||||
\(711\) | 24.9229 | + | 18.1076i | 0.934683 | + | 0.679087i | ||||
\(712\) | 10.7774 | 0.403901 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 0.621526 | 0.0232600 | ||||||||
\(715\) | −35.9197 | − | 26.0972i | −1.34332 | − | 0.975978i | ||||
\(716\) | 0.162396 | − | 0.117988i | 0.00606902 | − | 0.00440940i | ||||
\(717\) | −0.164703 | − | 0.506903i | −0.00615094 | − | 0.0189306i | ||||
\(718\) | −18.0646 | −0.674165 | ||||||||
\(719\) | −12.9769 | −0.483956 | −0.241978 | − | 0.970282i | \(-0.577796\pi\) | ||||
−0.241978 | + | 0.970282i | \(0.577796\pi\) | |||||||
\(720\) | −3.43963 | − | 10.5861i | −0.128188 | − | 0.394521i | ||||
\(721\) | −1.47337 | + | 4.53457i | −0.0548712 | + | 0.168876i | ||||
\(722\) | 0.972318 | − | 2.99249i | 0.0361859 | − | 0.111369i | ||||
\(723\) | 11.2213 | + | 8.15276i | 0.417325 | + | 0.303204i | ||||
\(724\) | 3.64275 | + | 11.2112i | 0.135382 | + | 0.416662i | ||||
\(725\) | 34.6386 | + | 25.1664i | 1.28644 | + | 0.934656i | ||||
\(726\) | 2.98918 | − | 2.17177i | 0.110939 | − | 0.0806019i | ||||
\(727\) | −3.83892 | + | 11.8150i | −0.142378 | + | 0.438194i | −0.996664 | − | 0.0816083i | \(-0.973994\pi\) |
0.854287 | + | 0.519802i | \(0.173994\pi\) | |||||||
\(728\) | −4.36719 | + | 3.17295i | −0.161859 | + | 0.117597i | ||||
\(729\) | −6.12163 | + | 4.44762i | −0.226727 | + | 0.164727i | ||||
\(730\) | −4.46908 | + | 13.7544i | −0.165408 | + | 0.509074i | ||||
\(731\) | 7.57641 | − | 5.50459i | 0.280224 | − | 0.203594i | ||||
\(732\) | −2.57897 | − | 1.87373i | −0.0953215 | − | 0.0692551i | ||||
\(733\) | −10.5552 | − | 32.4856i | −0.389865 | − | 1.19988i | −0.932889 | − | 0.360164i | \(-0.882721\pi\) |
0.543024 | − | 0.839717i | \(-0.317279\pi\) | |||||||
\(734\) | −15.0691 | − | 10.9483i | −0.556209 | − | 0.404110i | ||||
\(735\) | −6.63457 | + | 20.4191i | −0.244720 | + | 0.753170i | ||||
\(736\) | −5.89161 | + | 18.1325i | −0.217168 | + | 0.668373i | ||||
\(737\) | −2.65411 | − | 8.16851i | −0.0977654 | − | 0.300891i | ||||
\(738\) | 1.13921 | 0.0419351 | ||||||||
\(739\) | 12.3749 | 0.455219 | 0.227610 | − | 0.973752i | \(-0.426909\pi\) | ||||
0.227610 | + | 0.973752i | \(0.426909\pi\) | |||||||
\(740\) | −18.1881 | − | 55.9773i | −0.668609 | − | 2.05777i | ||||
\(741\) | 8.07131 | − | 5.86415i | 0.296507 | − | 0.215425i | ||||
\(742\) | −1.52264 | − | 1.10626i | −0.0558979 | − | 0.0406122i | ||||
\(743\) | 16.2455 | 0.595990 | 0.297995 | − | 0.954567i | \(-0.403682\pi\) | ||||
0.297995 | + | 0.954567i | \(0.403682\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −74.6520 | −2.73504 | ||||||||
\(746\) | −6.92012 | − | 5.02776i | −0.253364 | − | 0.184080i | ||||
\(747\) | 24.9459 | − | 18.1243i | 0.912723 | − | 0.663132i | ||||
\(748\) | 2.53720 | + | 7.80871i | 0.0927694 | + | 0.285515i | ||||
\(749\) | 1.77671 | 0.0649196 | ||||||||
\(750\) | −8.64058 | −0.315509 | ||||||||
\(751\) | −3.33376 | − | 10.2603i | −0.121651 | − | 0.374402i | 0.871625 | − | 0.490173i | \(-0.163066\pi\) |
−0.993276 | + | 0.115771i | \(0.963066\pi\) | |||||||
\(752\) | −0.371861 | + | 1.14447i | −0.0135604 | + | 0.0417346i | ||||
\(753\) | 1.68750 | − | 5.19361i | 0.0614961 | − | 0.189266i | ||||
\(754\) | −7.94606 | − | 5.77315i | −0.289378 | − | 0.210246i | ||||
\(755\) | −17.6120 | − | 54.2042i | −0.640966 | − | 1.97269i | ||||
\(756\) | −4.40623 | − | 3.20131i | −0.160253 | − | 0.116431i | ||||
\(757\) | 33.2519 | − | 24.1590i | 1.20856 | − | 0.878072i | 0.213463 | − | 0.976951i | \(-0.431526\pi\) |
0.995099 | + | 0.0988790i | \(0.0315257\pi\) | |||||||
\(758\) | 0.988411 | − | 3.04202i | 0.0359007 | − | 0.110491i | ||||
\(759\) | −9.86411 | + | 7.16670i | −0.358045 | + | 0.260135i | ||||
\(760\) | 27.6956 | − | 20.1221i | 1.00463 | − | 0.729904i | ||||
\(761\) | −6.07543 | + | 18.6983i | −0.220234 | + | 0.677811i | 0.778506 | + | 0.627637i | \(0.215978\pi\) |
−0.998740 | + | 0.0501745i | \(0.984022\pi\) | |||||||
\(762\) | 0.720832 | − | 0.523715i | 0.0261130 | − | 0.0189722i | ||||
\(763\) | −0.912086 | − | 0.662669i | −0.0330197 | − | 0.0239902i | ||||
\(764\) | 9.94205 | + | 30.5985i | 0.359691 | + | 1.10701i | ||||
\(765\) | −8.57842 | − | 6.23259i | −0.310154 | − | 0.225340i | ||||
\(766\) | −1.06987 | + | 3.29272i | −0.0386560 | + | 0.118971i | ||||
\(767\) | 0.833766 | − | 2.56607i | 0.0301056 | − | 0.0926554i | ||||
\(768\) | −2.76761 | − | 8.51782i | −0.0998674 | − | 0.307360i | ||||
\(769\) | 3.78834 | 0.136611 | 0.0683055 | − | 0.997664i | \(-0.478241\pi\) | ||||
0.0683055 | + | 0.997664i | \(0.478241\pi\) | |||||||
\(770\) | −8.03151 | −0.289435 | ||||||||
\(771\) | −1.26262 | − | 3.88595i | −0.0454722 | − | 0.139949i | ||||
\(772\) | 6.98519 | − | 5.07504i | 0.251402 | − | 0.182655i | ||||
\(773\) | −20.5244 | − | 14.9119i | −0.738212 | − | 0.536342i | 0.153939 | − | 0.988080i | \(-0.450804\pi\) |
−0.892151 | + | 0.451738i | \(0.850804\pi\) | |||||||
\(774\) | 10.7855 | 0.387676 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −12.8256 | −0.460414 | ||||||||
\(777\) | −5.80327 | − | 4.21632i | −0.208191 | − | 0.151260i | ||||
\(778\) | −10.3763 | + | 7.53883i | −0.372009 | + | 0.270280i | ||||
\(779\) | −0.887573 | − | 2.73167i | −0.0318006 | − | 0.0978722i | ||||
\(780\) | −14.8421 | −0.531431 | ||||||||
\(781\) | −31.8388 | −1.13928 | ||||||||
\(782\) | 0.915291 | + | 2.81698i | 0.0327307 | + | 0.100735i | ||||
\(783\) | 7.07939 | − | 21.7881i | 0.252997 | − | 0.778644i | ||||
\(784\) | −2.72390 | + | 8.38331i | −0.0972822 | + | 0.299404i | ||||
\(785\) | −45.4334 | − | 33.0093i | −1.62159 | − | 1.17815i | ||||
\(786\) | −1.20994 | − | 3.72380i | −0.0431570 | − | 0.132824i | ||||
\(787\) | −20.9912 | − | 15.2510i | −0.748257 | − | 0.543640i | 0.147029 | − | 0.989132i | \(-0.453029\pi\) |
−0.895286 | + | 0.445492i | \(0.853029\pi\) | |||||||
\(788\) | −19.6297 | + | 14.2618i | −0.699281 | + | 0.508057i | ||||
\(789\) | 0.699615 | − | 2.15319i | 0.0249069 | − | 0.0766557i | ||||
\(790\) | 29.1492 | − | 21.1781i | 1.03708 | − | 0.753484i | ||||
\(791\) | −3.94062 | + | 2.86303i | −0.140112 | + | 0.101797i | ||||
\(792\) | −6.75527 | + | 20.7906i | −0.240038 | + | 0.738761i | ||||
\(793\) | 5.45440 | − | 3.96285i | 0.193691 | − | 0.140725i | ||||
\(794\) | 18.1617 | + | 13.1952i | 0.644534 | + | 0.468281i | ||||
\(795\) | −3.69680 | − | 11.3776i | −0.131112 | − | 0.403522i | ||||
\(796\) | 5.25619 | + | 3.81885i | 0.186301 | + | 0.135355i | ||||
\(797\) | 5.71762 | − | 17.5970i | 0.202529 | − | 0.623319i | −0.797277 | − | 0.603613i | \(-0.793727\pi\) |
0.999806 | − | 0.0197056i | \(-0.00627291\pi\) | |||||||
\(798\) | 0.557688 | − | 1.71639i | 0.0197419 | − | 0.0607595i | ||||
\(799\) | 0.354243 | + | 1.09025i | 0.0125322 | + | 0.0385702i | ||||
\(800\) | −50.7902 | −1.79570 | ||||||||
\(801\) | −9.69305 | −0.342487 | ||||||||
\(802\) | −2.63993 | − | 8.12488i | −0.0932192 | − | 0.286899i | ||||
\(803\) | −18.8372 | + | 13.6860i | −0.664750 | + | 0.482969i | ||||
\(804\) | −2.32281 | − | 1.68762i | −0.0819193 | − | 0.0595178i | ||||
\(805\) | 9.29174 | 0.327491 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −12.0378 | −0.423751 | ||||||||
\(808\) | −7.48564 | − | 5.43864i | −0.263344 | − | 0.191331i | ||||
\(809\) | 29.7296 | − | 21.5998i | 1.04524 | − | 0.759410i | 0.0739368 | − | 0.997263i | \(-0.476444\pi\) |
0.971301 | + | 0.237853i | \(0.0764437\pi\) | |||||||
\(810\) | −1.84387 | − | 5.67484i | −0.0647869 | − | 0.199394i | ||||
\(811\) | −39.4301 | −1.38458 | −0.692289 | − | 0.721620i | \(-0.743398\pi\) | ||||
−0.692289 | + | 0.721620i | \(0.743398\pi\) | |||||||
\(812\) | 5.69788 | 0.199956 | ||||||||
\(813\) | −3.85497 | − | 11.8644i | −0.135200 | − | 0.416102i | ||||
\(814\) | −9.13092 | + | 28.1021i | −0.320039 | + | 0.984977i | ||||
\(815\) | −1.19709 | + | 3.68427i | −0.0419323 | + | 0.129054i | ||||
\(816\) | 1.31220 | + | 0.953370i | 0.0459362 | + | 0.0333746i | ||||
\(817\) | −8.40307 | − | 25.8620i | −0.293986 | − | 0.904796i | ||||
\(818\) | 1.92338 | + | 1.39742i | 0.0672494 | + | 0.0488595i | ||||
\(819\) | 3.92778 | − | 2.85370i | 0.137248 | − | 0.0997163i | ||||
\(820\) | −1.32042 | + | 4.06383i | −0.0461111 | + | 0.141915i | ||||
\(821\) | 1.19782 | − | 0.870264i | 0.0418041 | − | 0.0303724i | −0.566687 | − | 0.823933i | \(-0.691775\pi\) |
0.608491 | + | 0.793561i | \(0.291775\pi\) | |||||||
\(822\) | −6.41791 | + | 4.66289i | −0.223850 | + | 0.162637i | ||||
\(823\) | 12.0100 | − | 36.9630i | 0.418643 | − | 1.28845i | −0.490309 | − | 0.871549i | \(-0.663116\pi\) |
0.908952 | − | 0.416901i | \(-0.136884\pi\) | |||||||
\(824\) | 12.2794 | − | 8.92152i | 0.427774 | − | 0.310796i | ||||
\(825\) | −26.2776 | − | 19.0918i | −0.914870 | − | 0.664692i | ||||
\(826\) | −0.150823 | − | 0.464185i | −0.00524780 | − | 0.0161511i | ||||
\(827\) | 27.4550 | + | 19.9472i | 0.954705 | + | 0.693634i | 0.951915 | − | 0.306362i | \(-0.0991119\pi\) |
0.00279002 | + | 0.999996i | \(0.499112\pi\) | |||||||
\(828\) | 3.38056 | − | 10.4043i | 0.117483 | − | 0.361574i | ||||
\(829\) | −5.10827 | + | 15.7216i | −0.177417 | + | 0.546035i | −0.999736 | − | 0.0229933i | \(-0.992680\pi\) |
0.822318 | + | 0.569028i | \(0.192680\pi\) | |||||||
\(830\) | −11.1443 | − | 34.2985i | −0.386823 | − | 1.19052i | ||||
\(831\) | −10.4415 | −0.362210 | ||||||||
\(832\) | 3.65754 | 0.126802 | ||||||||
\(833\) | 2.59485 | + | 7.98612i | 0.0899061 | + | 0.276703i | ||||
\(834\) | −9.41993 | + | 6.84398i | −0.326185 | + | 0.236988i | ||||
\(835\) | −33.8619 | − | 24.6021i | −1.17184 | − | 0.851392i | ||||
\(836\) | 23.8409 | 0.824555 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 27.6122 | 0.953848 | ||||||||
\(839\) | 43.7501 | + | 31.7863i | 1.51042 | + | 1.09738i | 0.965990 | + | 0.258579i | \(0.0832542\pi\) |
0.544430 | + | 0.838806i | \(0.316746\pi\) | |||||||
\(840\) | −5.02144 | + | 3.64829i | −0.173256 | + | 0.125878i | ||||
\(841\) | −1.55522 | − | 4.78647i | −0.0536282 | − | 0.165051i | ||||
\(842\) | −14.9512 | −0.515254 | ||||||||
\(843\) | −13.8964 | −0.478617 | ||||||||
\(844\) | 5.42187 | + | 16.6868i | 0.186628 | + | 0.574383i | ||||
\(845\) | −5.19379 | + | 15.9848i | −0.178672 | + | 0.549896i | ||||
\(846\) | −0.407976 | + | 1.25562i | −0.0140265 | + | 0.0431691i | ||||
\(847\) | −3.66752 | − | 2.66461i | −0.126017 | − | 0.0915570i | ||||
\(848\) | −1.51777 | − | 4.67121i | −0.0521204 | − | 0.160410i | ||||
\(849\) | 16.5692 | + | 12.0382i | 0.568653 | + | 0.413150i | ||||
\(850\) | −6.38355 | + | 4.63792i | −0.218954 | + | 0.159079i | ||||
\(851\) | 10.5637 | − | 32.5116i | 0.362118 | − | 1.11448i | ||||
\(852\) | −8.61062 | + | 6.25598i | −0.294995 | + | 0.214326i | ||||
\(853\) | −32.0178 | + | 23.2623i | −1.09627 | + | 0.796487i | −0.980447 | − | 0.196783i | \(-0.936950\pi\) |
−0.115823 | + | 0.993270i | \(0.536950\pi\) | |||||||
\(854\) | 0.376872 | − | 1.15989i | 0.0128963 | − | 0.0396907i | ||||
\(855\) | −24.9090 | + | 18.0975i | −0.851871 | + | 0.618921i | ||||
\(856\) | −4.57578 | − | 3.32450i | −0.156397 | − | 0.113629i | ||||
\(857\) | 3.93225 | + | 12.1022i | 0.134323 | + | 0.413404i | 0.995484 | − | 0.0949280i | \(-0.0302621\pi\) |
−0.861161 | + | 0.508333i | \(0.830262\pi\) | |||||||
\(858\) | 6.02807 | + | 4.37965i | 0.205795 | + | 0.149519i | ||||
\(859\) | 6.53705 | − | 20.1190i | 0.223041 | − | 0.686451i | −0.775443 | − | 0.631417i | \(-0.782474\pi\) |
0.998485 | − | 0.0550332i | \(-0.0175265\pi\) | |||||||
\(860\) | −12.5010 | + | 38.4742i | −0.426281 | + | 1.31196i | ||||
\(861\) | 0.160924 | + | 0.495274i | 0.00548428 | + | 0.0168789i | ||||
\(862\) | 8.01237 | 0.272902 | ||||||||
\(863\) | −9.33974 | −0.317928 | −0.158964 | − | 0.987284i | \(-0.550815\pi\) | ||||
−0.158964 | + | 0.987284i | \(0.550815\pi\) | |||||||
\(864\) | 8.39795 | + | 25.8462i | 0.285704 | + | 0.879307i | ||||
\(865\) | 61.9466 | − | 45.0068i | 2.10625 | − | 1.53028i | ||||
\(866\) | −13.7202 | − | 9.96829i | −0.466230 | − | 0.338736i | ||||
\(867\) | −13.7957 | −0.468526 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 58.0085 | 1.96780 | ||||||||
\(870\) | −9.13647 | − | 6.63804i | −0.309755 | − | 0.225051i | ||||
\(871\) | 4.91264 | − | 3.56924i | 0.166458 | − | 0.120939i | ||||
\(872\) | 1.10905 | + | 3.41331i | 0.0375572 | + | 0.115589i | ||||
\(873\) | 11.5352 | 0.390407 | ||||||||
\(874\) | 8.60055 | 0.290918 | ||||||||
\(875\) | 3.27600 | + | 10.0825i | 0.110749 | + | 0.340851i | ||||
\(876\) | −2.40525 | + | 7.40260i | −0.0812659 | + | 0.250111i | ||||
\(877\) | 6.93287 | − | 21.3372i | 0.234107 | − | 0.720506i | −0.763132 | − | 0.646242i | \(-0.776339\pi\) |
0.997239 | − | 0.0742633i | \(-0.0236605\pi\) | |||||||
\(878\) | 10.1484 | + | 7.37324i | 0.342492 | + | 0.248835i | ||||
\(879\) | 3.45807 | + | 10.6428i | 0.116638 | + | 0.358974i | ||||
\(880\) | −16.9566 | − | 12.3197i | −0.571606 | − | 0.415296i | ||||
\(881\) | −37.5639 | + | 27.2917i | −1.26556 | + | 0.919482i | −0.999016 | − | 0.0443414i | \(-0.985881\pi\) |
−0.266542 | + | 0.963823i | \(0.585881\pi\) | |||||||
\(882\) | −2.98844 | + | 9.19748i | −0.100626 | + | 0.309695i | ||||
\(883\) | 29.5611 | − | 21.4774i | 0.994811 | − | 0.722773i | 0.0338419 | − | 0.999427i | \(-0.489226\pi\) |
0.960969 | + | 0.276654i | \(0.0892257\pi\) | |||||||
\(884\) | −4.69625 | + | 3.41202i | −0.157952 | + | 0.114759i | ||||
\(885\) | 0.958674 | − | 2.95050i | 0.0322255 | − | 0.0991799i | ||||
\(886\) | 9.90692 | − | 7.19780i | 0.332829 | − | 0.241815i | ||||
\(887\) | −23.2067 | − | 16.8606i | −0.779204 | − | 0.566125i | 0.125536 | − | 0.992089i | \(-0.459935\pi\) |
−0.904740 | + | 0.425964i | \(0.859935\pi\) | |||||||
\(888\) | 7.05648 | + | 21.7176i | 0.236800 | + | 0.728796i | ||||
\(889\) | −0.884410 | − | 0.642561i | −0.0296622 | − | 0.0215508i | ||||
\(890\) | −3.50324 | + | 10.7819i | −0.117429 | + | 0.361409i | ||||
\(891\) | 2.96861 | − | 9.13643i | 0.0994521 | − | 0.306082i | ||||
\(892\) | 4.43986 | + | 13.6645i | 0.148658 | + | 0.457521i | ||||
\(893\) | 3.32865 | 0.111389 | ||||||||
\(894\) | 12.5282 | 0.419005 | ||||||||
\(895\) | 0.150844 | + | 0.464249i | 0.00504215 | + | 0.0155181i | ||||
\(896\) | −6.63810 | + | 4.82286i | −0.221763 | + | 0.161120i | ||||
\(897\) | −6.97394 | − | 5.06687i | −0.232853 | − | 0.169178i | ||||
\(898\) | −6.34235 | −0.211647 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | 29.1430 | 0.971434 | ||||||||
\(901\) | −3.78531 | − | 2.75019i | −0.126107 | − | 0.0916220i | ||||
\(902\) | 1.73546 | − | 1.26088i | 0.0577844 | − | 0.0419828i | ||||
\(903\) | 1.52354 | + | 4.68898i | 0.0507004 | + | 0.156040i | ||||
\(904\) | 15.5059 | 0.515719 | ||||||||
\(905\) | −28.6665 | −0.952906 | ||||||||
\(906\) | 2.95566 | + | 9.09660i | 0.0981953 | + | 0.302214i | ||||
\(907\) | −6.85697 | + | 21.1036i | −0.227682 | + | 0.700733i | 0.770326 | + | 0.637650i | \(0.220093\pi\) |
−0.998008 | + | 0.0630831i | \(0.979907\pi\) | |||||||
\(908\) | −10.2532 | + | 31.5560i | −0.340263 | + | 1.04722i | ||||
\(909\) | 6.73247 | + | 4.89143i | 0.223302 | + | 0.162238i | ||||
\(910\) | −1.75469 | − | 5.40037i | −0.0581673 | − | 0.179021i | ||||
\(911\) | −23.3259 | − | 16.9473i | −0.772822 | − | 0.561488i | 0.129994 | − | 0.991515i | \(-0.458504\pi\) |
−0.902816 | + | 0.430026i | \(0.858504\pi\) | |||||||
\(912\) | 3.81022 | − | 2.76829i | 0.126169 | − | 0.0916671i | ||||
\(913\) | 17.9422 | − | 55.2203i | 0.593799 | − | 1.82752i | ||||
\(914\) | 17.4037 | − | 12.6445i | 0.575662 | − | 0.418243i | ||||
\(915\) | 6.27153 | − | 4.55653i | 0.207330 | − | 0.150634i | ||||
\(916\) | 7.98838 | − | 24.5857i | 0.263944 | − | 0.812335i | ||||
\(917\) | −3.88649 | + | 2.82370i | −0.128343 | + | 0.0932467i | ||||
\(918\) | 3.41565 | + | 2.48162i | 0.112733 | + | 0.0819056i | ||||
\(919\) | 14.8521 | + | 45.7100i | 0.489925 | + | 1.50783i | 0.824719 | + | 0.565543i | \(0.191333\pi\) |
−0.334794 | + | 0.942291i | \(0.608667\pi\) | |||||||
\(920\) | −23.9302 | − | 17.3863i | −0.788954 | − | 0.573209i | ||||
\(921\) | 8.56649 | − | 26.3649i | 0.282275 | − | 0.868755i | ||||
\(922\) | −1.42082 | + | 4.37283i | −0.0467921 | + | 0.144011i | ||||
\(923\) | −6.95600 | − | 21.4084i | −0.228959 | − | 0.704665i | ||||
\(924\) | −4.32255 | −0.142201 | ||||||||
\(925\) | 91.0668 | 2.99426 | ||||||||
\(926\) | 7.52513 | + | 23.1600i | 0.247291 | + | 0.761084i | ||||
\(927\) | −11.0439 | + | 8.02388i | −0.362730 | + | 0.263539i | ||||
\(928\) | −23.0013 | − | 16.7114i | −0.755055 | − | 0.548580i | ||||
\(929\) | −7.01617 | −0.230193 | −0.115097 | − | 0.993354i | \(-0.536718\pi\) | ||||
−0.115097 | + | 0.993354i | \(0.536718\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 24.3825 | 0.799105 | ||||||||
\(932\) | −12.1321 | − | 8.81450i | −0.397401 | − | 0.288729i | ||||
\(933\) | −1.73857 | + | 1.26314i | −0.0569182 | + | 0.0413535i | ||||
\(934\) | −7.65829 | − | 23.5698i | −0.250587 | − | 0.771227i | ||||
\(935\) | −19.9664 | −0.652972 | ||||||||
\(936\) | −15.4554 | −0.505176 | ||||||||
\(937\) | −3.98034 | − | 12.2502i | −0.130032 | − | 0.400197i | 0.864752 | − | 0.502199i | \(-0.167475\pi\) |
−0.994784 | + | 0.102001i | \(0.967475\pi\) | |||||||
\(938\) | 0.339439 | − | 1.04469i | 0.0110831 | − | 0.0341102i | ||||
\(939\) | −2.99649 | + | 9.22223i | −0.0977866 | + | 0.300956i | ||||
\(940\) | −4.00621 | − | 2.91068i | −0.130668 | − | 0.0949360i | ||||
\(941\) | 15.4630 | + | 47.5901i | 0.504079 | + | 1.55139i | 0.802314 | + | 0.596902i | \(0.203602\pi\) |
−0.298235 | + | 0.954492i | \(0.596398\pi\) | |||||||
\(942\) | 7.62467 | + | 5.53965i | 0.248425 | + | 0.180492i | ||||
\(943\) | −2.00777 | + | 1.45873i | −0.0653819 | + | 0.0475028i | ||||
\(944\) | 0.393595 | − | 1.21136i | 0.0128104 | − | 0.0394265i | ||||
\(945\) | 10.7150 | − | 7.78494i | 0.348560 | − | 0.253244i | ||||
\(946\) | 16.4304 | − | 11.9374i | 0.534197 | − | 0.388117i | ||||
\(947\) | −16.0281 | + | 49.3293i | −0.520842 | + | 1.60299i | 0.251551 | + | 0.967844i | \(0.419059\pi\) |
−0.772394 | + | 0.635144i | \(0.780941\pi\) | |||||||
\(948\) | 15.6881 | − | 11.3980i | 0.509525 | − | 0.370191i | ||||
\(949\) | −13.3179 | − | 9.67603i | −0.432318 | − | 0.314097i | ||||
\(950\) | 7.08006 | + | 21.7902i | 0.229707 | + | 0.706967i | ||||
\(951\) | −6.38534 | − | 4.63922i | −0.207059 | − | 0.150437i | ||||
\(952\) | −0.750157 | + | 2.30875i | −0.0243127 | + | 0.0748269i | ||||
\(953\) | −5.78950 | + | 17.8183i | −0.187540 | + | 0.577190i | −0.999983 | − | 0.00585146i | \(-0.998137\pi\) |
0.812443 | + | 0.583041i | \(0.198137\pi\) | |||||||
\(954\) | −1.66517 | − | 5.12487i | −0.0539119 | − | 0.165924i | ||||
\(955\) | −78.2385 | −2.53174 | ||||||||
\(956\) | 0.900482 | 0.0291237 | ||||||||
\(957\) | −5.61857 | − | 17.2922i | −0.181623 | − | 0.558977i | ||||
\(958\) | 18.5441 | − | 13.4731i | 0.599133 | − | 0.435296i | ||||
\(959\) | 7.87432 | + | 5.72103i | 0.254275 | + | 0.184742i | ||||
\(960\) | 4.20549 | 0.135731 | ||||||||
\(961\) | 0 | 0 | ||||||||
\(962\) | −20.8907 | −0.673542 | ||||||||
\(963\) | 4.11539 | + | 2.99001i | 0.132617 | + | 0.0963516i | ||||
\(964\) | −18.9583 | + | 13.7740i | −0.610606 | + | 0.443632i | ||||
\(965\) | 6.48829 | + | 19.9689i | 0.208865 | + | 0.642821i | ||||
\(966\) | −1.55935 | −0.0501712 | ||||||||
\(967\) | 47.7846 | 1.53665 | 0.768324 | − | 0.640061i | \(-0.221091\pi\) | ||||
0.768324 | + | 0.640061i | \(0.221091\pi\) | |||||||
\(968\) | 4.45952 | + | 13.7250i | 0.143334 | + | 0.441137i | ||||
\(969\) | 1.38642 | − | 4.26696i | 0.0445382 | − | 0.137075i | ||||
\(970\) | 4.16903 | − | 12.8309i | 0.133859 | − | 0.411977i | ||||
\(971\) | 25.1610 | + | 18.2805i | 0.807454 | + | 0.586649i | 0.913091 | − | 0.407755i | \(-0.133688\pi\) |
−0.105638 | + | 0.994405i | \(0.533688\pi\) | |||||||
\(972\) | −7.60637 | − | 23.4100i | −0.243974 | − | 0.750876i | ||||
\(973\) | 11.5576 | + | 8.39708i | 0.370519 | + | 0.269198i | ||||
\(974\) | −15.9062 | + | 11.5565i | −0.509667 | + | 0.370295i | ||||
\(975\) | 7.09629 | − | 21.8401i | 0.227263 | − | 0.699444i | ||||
\(976\) | 2.57485 | − | 1.87074i | 0.0824191 | − | 0.0598810i | ||||
\(977\) | 17.8624 | − | 12.9778i | 0.571469 | − | 0.415197i | −0.264170 | − | 0.964476i | \(-0.585098\pi\) |
0.835639 | + | 0.549280i | \(0.185098\pi\) | |||||||
\(978\) | 0.200897 | − | 0.618298i | 0.00642398 | − | 0.0197710i | ||||
\(979\) | −14.7662 | + | 10.7283i | −0.471929 | + | 0.342877i | ||||
\(980\) | −29.3457 | − | 21.3209i | −0.937413 | − | 0.681071i | ||||
\(981\) | −0.997464 | − | 3.06988i | −0.0318466 | − | 0.0980136i | ||||
\(982\) | 15.5984 | + | 11.3329i | 0.497766 | + | 0.361648i | ||||
\(983\) | 11.6119 | − | 35.7377i | 0.370362 | − | 1.13986i | −0.576193 | − | 0.817314i | \(-0.695462\pi\) |
0.946555 | − | 0.322543i | \(-0.104538\pi\) | |||||||
\(984\) | 0.512285 | − | 1.57665i | 0.0163311 | − | 0.0502618i | ||||
\(985\) | −18.2334 | − | 56.1165i | −0.580963 | − | 1.78802i | ||||
\(986\) | −4.41693 | −0.140664 | ||||||||
\(987\) | −0.603511 | −0.0192100 | ||||||||
\(988\) | 5.20865 | + | 16.0306i | 0.165709 | + | 0.510001i | ||||
\(989\) | −19.0085 | + | 13.8105i | −0.604434 | + | 0.439147i | ||||
\(990\) | −18.6033 | − | 13.5161i | −0.591253 | − | 0.429571i | ||||
\(991\) | 6.77397 | 0.215182 | 0.107591 | − | 0.994195i | \(-0.465686\pi\) | ||||
0.107591 | + | 0.994195i | \(0.465686\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 29.2099 | 0.926948 | ||||||||
\(994\) | −3.29426 | − | 2.39342i | −0.104487 | − | 0.0759146i | ||||
\(995\) | −12.7820 | + | 9.28666i | −0.405216 | + | 0.294407i | ||||
\(996\) | −5.99783 | − | 18.4594i | −0.190049 | − | 0.584909i | ||||
\(997\) | −29.5733 | −0.936595 | −0.468298 | − | 0.883571i | \(-0.655132\pi\) | ||||
−0.468298 | + | 0.883571i | \(0.655132\pi\) | |||||||
\(998\) | −28.4795 | −0.901502 | ||||||||
\(999\) | −15.0575 | − | 46.3423i | −0.476399 | − | 1.46621i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))