Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(82,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(18))
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("729.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.e (of order \(9\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{12} + 18x^{10} + 105x^{8} + 266x^{6} + 306x^{4} + 132x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 325.2 | ||
Root | \(3.10658i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.325 |
Dual form | 729.2.e.k.406.2 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.62787 | − | 1.36594i | 1.15108 | − | 0.965867i | 0.151331 | − | 0.988483i | \(-0.451644\pi\) |
0.999744 | + | 0.0226162i | \(0.00719956\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.436855 | − | 2.47753i | 0.218427 | − | 1.23876i | ||||
\(5\) | −1.94605 | + | 0.708303i | −0.870299 | + | 0.316763i | −0.738288 | − | 0.674485i | \(-0.764366\pi\) |
−0.132011 | + | 0.991248i | \(0.542143\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.841963 | + | 4.77501i | 0.318232 | + | 1.80478i | 0.553495 | + | 0.832853i | \(0.313294\pi\) |
−0.235263 | + | 0.971932i | \(0.575595\pi\) | |||||||
\(8\) | −0.547989 | − | 0.949144i | −0.193743 | − | 0.335573i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.20040 | + | 3.81121i | −0.695829 | + | 1.20521i | ||||
\(11\) | 3.89924 | + | 1.41921i | 1.17567 | + | 0.427908i | 0.854669 | − | 0.519173i | \(-0.173760\pi\) |
0.320997 | + | 0.947080i | \(0.395982\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.931522 | − | 0.781640i | −0.258358 | − | 0.216788i | 0.504404 | − | 0.863468i | \(-0.331712\pi\) |
−0.762761 | + | 0.646680i | \(0.776157\pi\) | |||||||
\(14\) | 7.89299 | + | 6.62301i | 2.10949 | + | 1.77007i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.53953 | + | 0.924313i | 0.634882 | + | 0.231078i | ||||
\(17\) | 1.18182 | − | 2.04697i | 0.286633 | − | 0.496463i | −0.686371 | − | 0.727252i | \(-0.740797\pi\) |
0.973004 | + | 0.230789i | \(0.0741306\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.919003 | + | 1.59176i | 0.210834 | + | 0.365175i | 0.951976 | − | 0.306174i | \(-0.0990488\pi\) |
−0.741142 | + | 0.671348i | \(0.765715\pi\) | |||||||
\(20\) | 0.904700 | + | 5.13081i | 0.202297 | + | 1.14728i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 8.28601 | − | 3.01586i | 1.76658 | − | 0.642983i | ||||
\(23\) | 0.747307 | − | 4.23819i | 0.155824 | − | 0.883723i | −0.802204 | − | 0.597050i | \(-0.796339\pi\) |
0.958028 | − | 0.286673i | \(-0.0925495\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.544815 | + | 0.457154i | −0.108963 | + | 0.0914309i | ||||
\(26\) | −2.58407 | −0.506777 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 12.1980 | 2.30521 | ||||||||
\(29\) | −2.28421 | + | 1.91668i | −0.424167 | + | 0.355918i | −0.829745 | − | 0.558142i | \(-0.811514\pi\) |
0.405579 | + | 0.914060i | \(0.367070\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.255886 | − | 1.45120i | 0.0459584 | − | 0.260643i | −0.953168 | − | 0.302443i | \(-0.902198\pi\) |
0.999126 | + | 0.0417995i | \(0.0133091\pi\) | |||||||
\(32\) | 7.45634 | − | 2.71388i | 1.31811 | − | 0.479752i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.872200 | − | 4.94649i | −0.149581 | − | 0.848316i | ||||
\(35\) | −5.02066 | − | 8.69603i | −0.848646 | − | 1.46990i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.48554 | + | 7.76918i | −0.737418 | + | 1.27725i | 0.216236 | + | 0.976341i | \(0.430622\pi\) |
−0.953654 | + | 0.300905i | \(0.902711\pi\) | |||||||
\(38\) | 3.67027 | + | 1.33587i | 0.595396 | + | 0.216706i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.73869 | + | 1.45894i | 0.274912 | + | 0.230678i | ||||
\(41\) | −1.73166 | − | 1.45304i | −0.270440 | − | 0.226926i | 0.497474 | − | 0.867479i | \(-0.334261\pi\) |
−0.767914 | + | 0.640553i | \(0.778705\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.15408 | + | 1.87593i | 0.785990 | + | 0.286077i | 0.703668 | − | 0.710529i | \(-0.251544\pi\) |
0.0823218 | + | 0.996606i | \(0.473766\pi\) | |||||||
\(44\) | 5.21953 | − | 9.04050i | 0.786874 | − | 1.36291i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.57260 | − | 7.91998i | −0.674194 | − | 1.16774i | ||||
\(47\) | −1.24734 | − | 7.07400i | −0.181943 | − | 1.03185i | −0.929821 | − | 0.368013i | \(-0.880038\pi\) |
0.747878 | − | 0.663836i | \(-0.231073\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −15.5140 | + | 5.64663i | −2.21628 | + | 0.806661i | ||||
\(50\) | −0.262440 | + | 1.48837i | −0.0371147 | + | 0.210488i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.34347 | + | 1.96641i | −0.324981 | + | 0.272692i | ||||
\(53\) | 6.32803 | 0.869222 | 0.434611 | − | 0.900618i | \(-0.356886\pi\) | ||||
0.434611 | + | 0.900618i | \(0.356886\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −8.59334 | −1.15873 | ||||||||
\(56\) | 4.07079 | − | 3.41580i | 0.543982 | − | 0.456455i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.10031 | + | 6.24019i | −0.144478 | + | 0.819377i | ||||
\(59\) | 0.246441 | − | 0.0896971i | 0.0320839 | − | 0.0116776i | −0.325928 | − | 0.945394i | \(-0.605677\pi\) |
0.358012 | + | 0.933717i | \(0.383455\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.773708 | − | 4.38792i | −0.0990631 | − | 0.561815i | −0.993426 | − | 0.114473i | \(-0.963482\pi\) |
0.894363 | − | 0.447342i | \(-0.147629\pi\) | |||||||
\(62\) | −1.56571 | − | 2.71188i | −0.198845 | − | 0.344410i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 5.72840 | − | 9.92188i | 0.716050 | − | 1.24024i | ||||
\(65\) | 2.36642 | + | 0.861308i | 0.293519 | + | 0.106832i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.16461 | + | 2.65542i | 0.386619 | + | 0.324411i | 0.815294 | − | 0.579047i | \(-0.196575\pi\) |
−0.428676 | + | 0.903458i | \(0.641020\pi\) | |||||||
\(68\) | −4.55514 | − | 3.82222i | −0.552392 | − | 0.463512i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −20.0512 | − | 7.29805i | −2.39658 | − | 0.872284i | ||||
\(71\) | 1.54276 | − | 2.67213i | 0.183091 | − | 0.317124i | −0.759840 | − | 0.650110i | \(-0.774723\pi\) |
0.942932 | + | 0.332986i | \(0.108056\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.38003 | − | 11.0505i | −0.746726 | − | 1.29337i | −0.949384 | − | 0.314118i | \(-0.898291\pi\) |
0.202658 | − | 0.979250i | \(-0.435042\pi\) | |||||||
\(74\) | 3.31040 | + | 18.7742i | 0.384826 | + | 2.18245i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.34510 | − | 1.58149i | 0.498417 | − | 0.181409i | ||||
\(77\) | −3.49372 | + | 19.8139i | −0.398146 | + | 2.25800i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.48735 | − | 2.92623i | 0.392357 | − | 0.329227i | −0.425174 | − | 0.905112i | \(-0.639787\pi\) |
0.817531 | + | 0.575885i | \(0.195342\pi\) | |||||||
\(80\) | −5.59674 | −0.625734 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.80368 | −0.530478 | ||||||||
\(83\) | 6.47542 | − | 5.43352i | 0.710769 | − | 0.596406i | −0.214045 | − | 0.976824i | \(-0.568664\pi\) |
0.924815 | + | 0.380417i | \(0.124220\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.850000 | + | 4.82059i | −0.0921954 | + | 0.522866i | ||||
\(86\) | 10.9526 | − | 3.98641i | 1.18105 | − | 0.429866i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.789708 | − | 4.47866i | −0.0841831 | − | 0.477426i | ||||
\(89\) | 8.48158 | + | 14.6905i | 0.899046 | + | 1.55719i | 0.828716 | + | 0.559670i | \(0.189072\pi\) |
0.0703304 | + | 0.997524i | \(0.477595\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.94803 | − | 5.10614i | 0.309038 | − | 0.535269i | ||||
\(92\) | −10.1738 | − | 3.70295i | −1.06069 | − | 0.386059i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −11.6932 | − | 9.81174i | −1.20606 | − | 1.01200i | ||||
\(95\) | −2.91587 | − | 2.44671i | −0.299162 | − | 0.251027i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.80161 | + | 1.74764i | 0.487530 | + | 0.177446i | 0.574077 | − | 0.818801i | \(-0.305361\pi\) |
−0.0865469 | + | 0.996248i | \(0.527583\pi\) | |||||||
\(98\) | −17.5417 | + | 30.3831i | −1.77198 | + | 3.06916i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.894607 | + | 1.54951i | 0.0894607 | + | 0.154951i | ||||
\(101\) | −3.22636 | − | 18.2976i | −0.321035 | − | 1.82068i | −0.536186 | − | 0.844100i | \(-0.680136\pi\) |
0.215151 | − | 0.976581i | \(-0.430975\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −8.46266 | + | 3.08015i | −0.833850 | + | 0.303497i | −0.723438 | − | 0.690389i | \(-0.757439\pi\) |
−0.110412 | + | 0.993886i | \(0.535217\pi\) | |||||||
\(104\) | −0.231425 | + | 1.31248i | −0.0226931 | + | 0.128699i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 10.3012 | − | 8.64372i | 1.00054 | − | 0.839552i | ||||
\(107\) | −7.42680 | −0.717976 | −0.358988 | − | 0.933342i | \(-0.616878\pi\) | ||||
−0.358988 | + | 0.933342i | \(0.616878\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.62396 | −0.538678 | −0.269339 | − | 0.963045i | \(-0.586805\pi\) | ||||
−0.269339 | + | 0.963045i | \(0.586805\pi\) | |||||||
\(110\) | −13.9888 | + | 11.7380i | −1.33378 | + | 1.11918i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.27541 | + | 12.9045i | −0.215006 | + | 1.21936i | ||||
\(113\) | −2.25777 | + | 0.821761i | −0.212393 | + | 0.0773048i | −0.446026 | − | 0.895020i | \(-0.647161\pi\) |
0.233632 | + | 0.972325i | \(0.424939\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.54763 | + | 8.77703i | 0.144317 | + | 0.818463i | ||||
\(116\) | 3.75075 | + | 6.49649i | 0.348249 | + | 0.603184i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.278652 | − | 0.482639i | 0.0256520 | − | 0.0444305i | ||||
\(119\) | 10.7694 | + | 3.91972i | 0.987225 | + | 0.359321i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.76346 | + | 3.99702i | 0.433042 | + | 0.363365i | ||||
\(122\) | −7.25313 | − | 6.08610i | −0.656668 | − | 0.551010i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.48360 | − | 1.26793i | −0.312837 | − | 0.113863i | ||||
\(125\) | 5.91378 | − | 10.2430i | 0.528945 | − | 0.916159i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.61735 | + | 7.99748i | 0.409723 | + | 0.709662i | 0.994859 | − | 0.101274i | \(-0.0322919\pi\) |
−0.585135 | + | 0.810936i | \(0.698959\pi\) | |||||||
\(128\) | −1.47189 | − | 8.34752i | −0.130098 | − | 0.737824i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 5.02872 | − | 1.83030i | 0.441048 | − | 0.160528i | ||||
\(131\) | 2.66359 | − | 15.1060i | 0.232719 | − | 1.31981i | −0.614646 | − | 0.788803i | \(-0.710701\pi\) |
0.847365 | − | 0.531011i | \(-0.178188\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −6.82691 | + | 5.72845i | −0.591968 | + | 0.496720i | ||||
\(134\) | 8.77871 | 0.758365 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.59049 | −0.222133 | ||||||||
\(137\) | 2.79144 | − | 2.34230i | 0.238489 | − | 0.200116i | −0.515708 | − | 0.856765i | \(-0.672471\pi\) |
0.754197 | + | 0.656649i | \(0.228026\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.30527 | − | 13.0739i | 0.195531 | − | 1.10891i | −0.716130 | − | 0.697967i | \(-0.754088\pi\) |
0.911661 | − | 0.410943i | \(-0.134801\pi\) | |||||||
\(140\) | −23.7380 | + | 8.63991i | −2.00622 | + | 0.730206i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1.13858 | − | 6.45719i | −0.0955472 | − | 0.541875i | ||||
\(143\) | −2.52292 | − | 4.36983i | −0.210977 | − | 0.365423i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.08759 | − | 5.34786i | 0.256410 | − | 0.444115i | ||||
\(146\) | −25.4802 | − | 9.27405i | −2.10876 | − | 0.767526i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 17.2888 | + | 14.5071i | 1.42113 | + | 1.19247i | ||||
\(149\) | −6.82621 | − | 5.72787i | −0.559225 | − | 0.469245i | 0.318826 | − | 0.947813i | \(-0.396712\pi\) |
−0.878051 | + | 0.478568i | \(0.841156\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.669440 | + | 0.243656i | 0.0544783 | + | 0.0198285i | 0.369116 | − | 0.929384i | \(-0.379661\pi\) |
−0.314637 | + | 0.949212i | \(0.601883\pi\) | |||||||
\(152\) | 1.00721 | − | 1.74453i | 0.0816953 | − | 0.141500i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 21.3773 | + | 37.0265i | 1.72263 | + | 2.98368i | ||||
\(155\) | 0.529924 | + | 3.00535i | 0.0425645 | + | 0.241395i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 12.9847 | − | 4.72605i | 1.03629 | − | 0.377180i | 0.232820 | − | 0.972520i | \(-0.425205\pi\) |
0.803474 | + | 0.595340i | \(0.202983\pi\) | |||||||
\(158\) | 1.67987 | − | 9.52702i | 0.133643 | − | 0.757929i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −12.5881 | + | 10.5627i | −0.995179 | + | 0.835054i | ||||
\(161\) | 20.8666 | 1.64452 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.19321 | −0.0934597 | −0.0467298 | − | 0.998908i | \(-0.514880\pi\) | ||||
−0.0467298 | + | 0.998908i | \(0.514880\pi\) | |||||||
\(164\) | −4.35642 | + | 3.65547i | −0.340180 | + | 0.285445i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.11924 | − | 17.6901i | 0.242100 | − | 1.37302i | ||||
\(167\) | −22.4928 | + | 8.18670i | −1.74054 | + | 0.633506i | −0.999288 | − | 0.0377169i | \(-0.987991\pi\) |
−0.741255 | + | 0.671223i | \(0.765769\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.00065 | − | 11.3463i | −0.153896 | − | 0.872790i | ||||
\(170\) | 5.20096 | + | 9.00832i | 0.398895 | + | 0.690907i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 6.89926 | − | 11.9499i | 0.526063 | − | 0.911169i | ||||
\(173\) | −8.58879 | − | 3.12607i | −0.652994 | − | 0.237670i | −0.00578525 | − | 0.999983i | \(-0.501842\pi\) |
−0.647209 | + | 0.762313i | \(0.724064\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.64163 | − | 2.21659i | −0.199689 | − | 0.167559i | ||||
\(176\) | 8.59045 | + | 7.20824i | 0.647530 | + | 0.543342i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 33.8733 | + | 12.3289i | 2.53891 | + | 0.924088i | ||||
\(179\) | 5.30038 | − | 9.18052i | 0.396169 | − | 0.686184i | −0.597081 | − | 0.802181i | \(-0.703673\pi\) |
0.993250 | + | 0.115997i | \(0.0370062\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.731460 | + | 1.26693i | 0.0543690 | + | 0.0941699i | 0.891929 | − | 0.452176i | \(-0.149352\pi\) |
−0.837560 | + | 0.546345i | \(0.816019\pi\) | |||||||
\(182\) | −2.17569 | − | 12.3389i | −0.161273 | − | 0.914624i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −4.43217 | + | 1.61318i | −0.326744 | + | 0.118925i | ||||
\(185\) | 3.22614 | − | 18.2963i | 0.237190 | − | 1.34517i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 7.51328 | − | 6.30439i | 0.549425 | − | 0.461023i | ||||
\(188\) | −18.0709 | −1.31796 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −8.08871 | −0.586817 | ||||||||
\(191\) | −9.51601 | + | 7.98488i | −0.688555 | + | 0.577766i | −0.918492 | − | 0.395439i | \(-0.870592\pi\) |
0.229937 | + | 0.973205i | \(0.426148\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.60725 | − | 20.4577i | 0.259655 | − | 1.47258i | −0.524179 | − | 0.851608i | \(-0.675628\pi\) |
0.783834 | − | 0.620970i | \(-0.213261\pi\) | |||||||
\(194\) | 10.2036 | − | 3.71380i | 0.732574 | − | 0.266635i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 7.21231 | + | 40.9031i | 0.515165 | + | 2.92165i | ||||
\(197\) | −7.09433 | − | 12.2877i | −0.505450 | − | 0.875465i | −0.999980 | − | 0.00630469i | \(-0.997993\pi\) |
0.494530 | − | 0.869161i | \(-0.335340\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −10.1643 | + | 17.6051i | −0.720529 | + | 1.24799i | 0.240259 | + | 0.970709i | \(0.422768\pi\) |
−0.960788 | + | 0.277284i | \(0.910566\pi\) | |||||||
\(200\) | 0.732458 | + | 0.266593i | 0.0517926 | + | 0.0188510i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −30.2456 | − | 25.3790i | −2.12807 | − | 1.78566i | ||||
\(203\) | −11.0754 | − | 9.29334i | −0.777339 | − | 0.652265i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 4.39909 | + | 1.60114i | 0.307246 | + | 0.111828i | ||||
\(206\) | −9.56876 | + | 16.5736i | −0.666687 | + | 1.15474i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.64315 | − | 2.84601i | −0.113932 | − | 0.197336i | ||||
\(209\) | 1.32438 | + | 7.51092i | 0.0916091 | + | 0.519541i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.26849 | − | 3.37345i | 0.638069 | − | 0.232238i | −0.00267052 | − | 0.999996i | \(-0.500850\pi\) |
0.640740 | + | 0.767758i | \(0.278628\pi\) | |||||||
\(212\) | 2.76443 | − | 15.6779i | 0.189862 | − | 1.07676i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −12.0898 | + | 10.1446i | −0.826445 | + | 0.693470i | ||||
\(215\) | −11.3588 | −0.774665 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 7.14494 | 0.485030 | ||||||||
\(218\) | −9.15506 | + | 7.68201i | −0.620059 | + | 0.520291i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −3.75404 | + | 21.2902i | −0.253098 | + | 1.43539i | ||||
\(221\) | −2.70088 | + | 0.983041i | −0.181681 | + | 0.0661265i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.61712 | + | 14.8424i | 0.175255 | + | 0.993922i | 0.937849 | + | 0.347044i | \(0.112815\pi\) |
−0.762594 | + | 0.646878i | \(0.776074\pi\) | |||||||
\(224\) | 19.2368 | + | 33.3191i | 1.28531 | + | 2.22623i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.55287 | + | 4.42170i | −0.169814 | + | 0.294127i | ||||
\(227\) | −21.3240 | − | 7.76131i | −1.41533 | − | 0.515136i | −0.482637 | − | 0.875820i | \(-0.660321\pi\) |
−0.932688 | + | 0.360684i | \(0.882543\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 6.67738 | + | 5.60299i | 0.441254 | + | 0.370256i | 0.836178 | − | 0.548458i | \(-0.184785\pi\) |
−0.394925 | + | 0.918714i | \(0.629229\pi\) | |||||||
\(230\) | 14.5083 | + | 12.1739i | 0.956646 | + | 0.802721i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.07092 | + | 1.11772i | 0.201616 | + | 0.0733822i | ||||
\(233\) | −11.7945 | + | 20.4286i | −0.772682 | + | 1.33832i | 0.163406 | + | 0.986559i | \(0.447752\pi\) |
−0.936088 | + | 0.351766i | \(0.885581\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 7.43792 | + | 12.8829i | 0.485196 | + | 0.840385i | ||||
\(236\) | −0.114568 | − | 0.649748i | −0.00745775 | − | 0.0422950i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 22.8852 | − | 8.32953i | 1.48343 | − | 0.539923i | ||||
\(239\) | −1.72858 | + | 9.80329i | −0.111813 | + | 0.634122i | 0.876466 | + | 0.481463i | \(0.159895\pi\) |
−0.988279 | + | 0.152658i | \(0.951217\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 4.37676 | − | 3.67253i | 0.281932 | − | 0.236569i | −0.490845 | − | 0.871247i | \(-0.663312\pi\) |
0.772776 | + | 0.634678i | \(0.218867\pi\) | |||||||
\(242\) | 13.2140 | 0.849427 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −11.2092 | −0.717594 | ||||||||
\(245\) | 26.1914 | − | 21.9772i | 1.67331 | − | 1.40407i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.388111 | − | 2.20109i | 0.0246949 | − | 0.140052i | ||||
\(248\) | −1.51762 | + | 0.552369i | −0.0963690 | + | 0.0350754i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −4.36446 | − | 24.7521i | −0.276033 | − | 1.56546i | ||||
\(251\) | −3.64483 | − | 6.31303i | −0.230060 | − | 0.398475i | 0.727766 | − | 0.685826i | \(-0.240559\pi\) |
−0.957825 | + | 0.287351i | \(0.907226\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 8.92881 | − | 15.4651i | 0.561349 | − | 0.972285i | ||||
\(254\) | 18.4405 | + | 6.71180i | 1.15706 | + | 0.421136i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 3.75456 | + | 3.15045i | 0.234660 | + | 0.196903i | ||||
\(257\) | 17.8052 | + | 14.9404i | 1.11066 | + | 0.931954i | 0.998095 | − | 0.0616904i | \(-0.0196492\pi\) |
0.112564 | + | 0.993644i | \(0.464094\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −40.8746 | − | 14.8771i | −2.53982 | − | 0.924420i | ||||
\(260\) | 3.16770 | − | 5.48661i | 0.196452 | − | 0.340265i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −16.2979 | − | 28.2288i | −1.00689 | − | 1.74398i | ||||
\(263\) | 4.75789 | + | 26.9833i | 0.293384 | + | 1.66386i | 0.673698 | + | 0.739007i | \(0.264705\pi\) |
−0.380314 | + | 0.924858i | \(0.624184\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −12.3146 | + | 4.48216i | −0.756483 | + | 0.275337i | ||||
\(266\) | −3.28855 | + | 18.6503i | −0.201634 | + | 1.14352i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 7.96136 | − | 6.68037i | 0.486317 | − | 0.408069i | ||||
\(269\) | −9.41973 | −0.574331 | −0.287166 | − | 0.957881i | \(-0.592713\pi\) | ||||
−0.287166 | + | 0.957881i | \(0.592713\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 26.2797 | 1.59638 | 0.798189 | − | 0.602408i | \(-0.205792\pi\) | ||||
0.798189 | + | 0.602408i | \(0.205792\pi\) | |||||||
\(272\) | 4.89331 | − | 4.10597i | 0.296700 | − | 0.248961i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.34465 | − | 7.62590i | 0.0812334 | − | 0.460697i | ||||
\(275\) | −2.77317 | + | 1.00935i | −0.167228 | + | 0.0608661i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.0650854 | + | 0.369118i | 0.00391060 | + | 0.0221781i | 0.986701 | − | 0.162548i | \(-0.0519713\pi\) |
−0.982790 | + | 0.184726i | \(0.940860\pi\) | |||||||
\(278\) | −14.1054 | − | 24.4314i | −0.845989 | − | 1.46530i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −5.50253 | + | 9.53065i | −0.328839 | + | 0.569566i | ||||
\(281\) | 13.1384 | + | 4.78198i | 0.783771 | + | 0.285269i | 0.702744 | − | 0.711443i | \(-0.251958\pi\) |
0.0810267 | + | 0.996712i | \(0.474180\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 11.9211 | + | 10.0030i | 0.708636 | + | 0.594616i | 0.924216 | − | 0.381870i | \(-0.124720\pi\) |
−0.215580 | + | 0.976486i | \(0.569164\pi\) | |||||||
\(284\) | −5.94632 | − | 4.98955i | −0.352849 | − | 0.296075i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −10.0759 | − | 3.66733i | −0.595801 | − | 0.216854i | ||||
\(287\) | 5.48027 | − | 9.49211i | 0.323490 | − | 0.560301i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 5.70661 | + | 9.88413i | 0.335683 | + | 0.581420i | ||||
\(290\) | −2.27868 | − | 12.9231i | −0.133809 | − | 0.758868i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −30.1652 | + | 10.9792i | −1.76528 | + | 0.642510i | ||||
\(293\) | −4.27595 | + | 24.2501i | −0.249804 | + | 1.41671i | 0.559263 | + | 0.828990i | \(0.311084\pi\) |
−0.809066 | + | 0.587717i | \(0.800027\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.416053 | + | 0.349110i | −0.0242235 | + | 0.0203259i | ||||
\(296\) | 9.83210 | 0.571479 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −18.9361 | −1.09694 | ||||||||
\(299\) | −4.00887 | + | 3.36384i | −0.231839 | + | 0.194536i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.61805 | + | 26.1903i | −0.266180 | + | 1.50958i | ||||
\(302\) | 1.42258 | − | 0.517777i | 0.0818603 | − | 0.0297947i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.862551 | + | 4.89177i | 0.0494707 | + | 0.280562i | ||||
\(305\) | 4.61365 | + | 7.99107i | 0.264177 | + | 0.457567i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 10.1956 | − | 17.6593i | 0.581893 | − | 1.00787i | −0.413362 | − | 0.910567i | \(-0.635646\pi\) |
0.995255 | − | 0.0973012i | \(-0.0310210\pi\) | |||||||
\(308\) | 47.5631 | + | 17.3116i | 2.71016 | + | 0.986418i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 4.96778 | + | 4.16846i | 0.282151 | + | 0.236753i | ||||
\(311\) | −16.9901 | − | 14.2564i | −0.963421 | − | 0.808406i | 0.0180851 | − | 0.999836i | \(-0.494243\pi\) |
−0.981506 | + | 0.191430i | \(0.938687\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 10.4983 | + | 3.82106i | 0.593398 | + | 0.215979i | 0.621223 | − | 0.783634i | \(-0.286636\pi\) |
−0.0278253 | + | 0.999613i | \(0.508858\pi\) | |||||||
\(314\) | 14.6819 | − | 25.4298i | 0.828547 | − | 1.43508i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −5.72635 | − | 9.91833i | −0.322132 | − | 0.557950i | ||||
\(317\) | −4.37883 | − | 24.8336i | −0.245939 | − | 1.39479i | −0.818301 | − | 0.574790i | \(-0.805084\pi\) |
0.572361 | − | 0.820002i | \(-0.306027\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −11.6268 | + | 4.23182i | −0.650978 | + | 0.236937i | ||||
\(320\) | −4.12004 | + | 23.3659i | −0.230317 | + | 1.30619i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 33.9680 | − | 28.5026i | 1.89296 | − | 1.58839i | ||||
\(323\) | 4.34438 | 0.241728 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.864837 | 0.0479725 | ||||||||
\(326\) | −1.94239 | + | 1.62986i | −0.107579 | + | 0.0902696i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.430211 | + | 2.43985i | −0.0237544 | + | 0.134718i | ||||
\(329\) | 32.7282 | − | 11.9121i | 1.80437 | − | 0.656735i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.54362 | − | 25.7682i | −0.249740 | − | 1.41635i | −0.809221 | − | 0.587504i | \(-0.800111\pi\) |
0.559481 | − | 0.828843i | \(-0.311000\pi\) | |||||||
\(332\) | −10.6329 | − | 18.4167i | −0.583555 | − | 1.01075i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −25.4327 | + | 44.0507i | −1.39161 | + | 2.41035i | ||||
\(335\) | −8.03932 | − | 2.92607i | −0.439235 | − | 0.159869i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 8.38516 | + | 7.03599i | 0.456769 | + | 0.383275i | 0.841940 | − | 0.539570i | \(-0.181413\pi\) |
−0.385172 | + | 0.922845i | \(0.625858\pi\) | |||||||
\(338\) | −18.7551 | − | 15.7374i | −1.02015 | − | 0.856004i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 11.5718 | + | 4.21180i | 0.627570 | + | 0.228417i | ||||
\(341\) | 3.05732 | − | 5.29543i | 0.165563 | − | 0.286763i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −23.0545 | − | 39.9316i | −1.24483 | − | 2.15611i | ||||
\(344\) | −1.04385 | − | 5.91996i | −0.0562805 | − | 0.319183i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −18.2514 | + | 6.64298i | −0.981203 | + | 0.357129i | ||||
\(347\) | −0.610092 | + | 3.46000i | −0.0327514 | + | 0.185743i | −0.996795 | − | 0.0800030i | \(-0.974507\pi\) |
0.964043 | + | 0.265746i | \(0.0856181\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −22.3661 | + | 18.7674i | −1.19723 | + | 1.00459i | −0.197524 | + | 0.980298i | \(0.563290\pi\) |
−0.999705 | + | 0.0242965i | \(0.992265\pi\) | |||||||
\(350\) | −7.32796 | −0.391696 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 32.9256 | 1.75494 | ||||||||
\(353\) | 19.2100 | − | 16.1191i | 1.02244 | − | 0.857931i | 0.0325100 | − | 0.999471i | \(-0.489650\pi\) |
0.989932 | + | 0.141540i | \(0.0452055\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.10960 | + | 6.29283i | −0.0588912 | + | 0.333989i | ||||
\(356\) | 40.1014 | − | 14.5957i | 2.12537 | − | 0.773572i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −3.91176 | − | 22.1847i | −0.206743 | − | 1.17250i | ||||
\(359\) | 2.10362 | + | 3.64358i | 0.111025 | + | 0.192301i | 0.916184 | − | 0.400758i | \(-0.131253\pi\) |
−0.805159 | + | 0.593059i | \(0.797920\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.81087 | − | 13.5288i | 0.411098 | − | 0.712043i | ||||
\(362\) | 2.92127 | + | 1.06325i | 0.153538 | + | 0.0558834i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −11.3627 | − | 9.53447i | −0.595569 | − | 0.499742i | ||||
\(365\) | 20.2430 | + | 16.9859i | 1.05957 | + | 0.889081i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −16.4415 | − | 5.98420i | −0.858237 | − | 0.312373i | −0.124843 | − | 0.992177i | \(-0.539843\pi\) |
−0.733394 | + | 0.679804i | \(0.762065\pi\) | |||||||
\(368\) | 5.81522 | − | 10.0723i | 0.303139 | − | 0.525053i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −19.7400 | − | 34.1907i | −1.02623 | − | 1.77749i | ||||
\(371\) | 5.32797 | + | 30.2164i | 0.276614 | + | 1.56876i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 27.8662 | − | 10.1425i | 1.44286 | − | 0.525157i | 0.502270 | − | 0.864711i | \(-0.332499\pi\) |
0.940586 | + | 0.339554i | \(0.110276\pi\) | |||||||
\(374\) | 3.61918 | − | 20.5254i | 0.187144 | − | 1.06134i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −6.03072 | + | 5.06038i | −0.311011 | + | 0.260969i | ||||
\(377\) | 3.62594 | 0.186745 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 20.9523 | 1.07625 | 0.538124 | − | 0.842865i | \(-0.319133\pi\) | ||||
0.538124 | + | 0.842865i | \(0.319133\pi\) | |||||||
\(380\) | −7.33560 | + | 6.15530i | −0.376308 | + | 0.315760i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −4.58391 | + | 25.9966i | −0.234533 | + | 1.33010i | ||||
\(383\) | 9.29993 | − | 3.38490i | 0.475204 | − | 0.172960i | −0.0933043 | − | 0.995638i | \(-0.529743\pi\) |
0.568508 | + | 0.822678i | \(0.307521\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −7.23528 | − | 41.0333i | −0.368744 | − | 2.09125i | ||||
\(386\) | −22.0719 | − | 38.2297i | −1.12343 | − | 1.94584i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 6.42745 | − | 11.1327i | 0.326304 | − | 0.565175i | ||||
\(389\) | −19.8414 | − | 7.22167i | −1.00600 | − | 0.366153i | −0.214104 | − | 0.976811i | \(-0.568683\pi\) |
−0.791895 | + | 0.610658i | \(0.790905\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −7.79227 | − | 6.53849i | −0.394072 | − | 0.330665i | ||||
\(392\) | 13.8609 | + | 11.6307i | 0.700083 | + | 0.587440i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −28.3330 | − | 10.3124i | −1.42739 | − | 0.519529i | ||||
\(395\) | −4.71388 | + | 8.16468i | −0.237181 | + | 0.410810i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 4.88955 | + | 8.46894i | 0.245399 | + | 0.425044i | 0.962244 | − | 0.272189i | \(-0.0877476\pi\) |
−0.716845 | + | 0.697233i | \(0.754414\pi\) | |||||||
\(398\) | 7.50142 | + | 42.5426i | 0.376012 | + | 2.13247i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.80613 | + | 0.657377i | −0.0903064 | + | 0.0328688i | ||||
\(401\) | 3.32351 | − | 18.8486i | 0.165968 | − | 0.941252i | −0.782092 | − | 0.623163i | \(-0.785847\pi\) |
0.948061 | − | 0.318090i | \(-0.103041\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.37268 | + | 1.15181i | −0.0683780 | + | 0.0573759i | ||||
\(404\) | −46.7423 | −2.32552 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −30.7234 | −1.52478 | ||||||||
\(407\) | −28.5163 | + | 23.9280i | −1.41350 | + | 1.18607i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.60395 | − | 14.7677i | 0.128757 | − | 0.730218i | −0.850248 | − | 0.526382i | \(-0.823548\pi\) |
0.979005 | − | 0.203836i | \(-0.0653408\pi\) | |||||||
\(410\) | 9.34819 | − | 3.40246i | 0.461674 | − | 0.168036i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 3.93421 | + | 22.3120i | 0.193825 | + | 1.09924i | ||||
\(413\) | 0.635799 | + | 1.10124i | 0.0312856 | + | 0.0541883i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −8.75289 | + | 15.1604i | −0.429662 | + | 0.744197i | ||||
\(416\) | −9.06702 | − | 3.30013i | −0.444547 | − | 0.161802i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 12.4154 | + | 10.4177i | 0.607257 | + | 0.509549i | ||||
\(419\) | −4.45210 | − | 3.73575i | −0.217499 | − | 0.182504i | 0.527528 | − | 0.849538i | \(-0.323119\pi\) |
−0.745027 | + | 0.667034i | \(0.767563\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 12.5106 | + | 4.55349i | 0.609730 | + | 0.221924i | 0.628385 | − | 0.777902i | \(-0.283716\pi\) |
−0.0186551 | + | 0.999826i | \(0.505938\pi\) | |||||||
\(422\) | 10.4799 | − | 18.1518i | 0.510154 | − | 0.883613i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −3.46769 | − | 6.00621i | −0.168406 | − | 0.291687i | ||||
\(425\) | 0.291908 | + | 1.65549i | 0.0141596 | + | 0.0803033i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 20.3009 | − | 7.38893i | 0.982430 | − | 0.357575i | ||||
\(428\) | −3.24444 | + | 18.4001i | −0.156826 | + | 0.889403i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −18.4906 | + | 15.5155i | −0.891697 | + | 0.748223i | ||||
\(431\) | 36.4166 | 1.75413 | 0.877064 | − | 0.480374i | \(-0.159499\pi\) | ||||
0.877064 | + | 0.480374i | \(0.159499\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −10.8761 | −0.522674 | −0.261337 | − | 0.965248i | \(-0.584163\pi\) | ||||
−0.261337 | + | 0.965248i | \(0.584163\pi\) | |||||||
\(434\) | 11.6310 | − | 9.75957i | 0.558306 | − | 0.468475i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2.45686 | + | 13.9335i | −0.117662 | + | 0.667295i | ||||
\(437\) | 7.43296 | − | 2.70537i | 0.355567 | − | 0.129416i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1.64154 | + | 9.30965i | 0.0783465 | + | 0.444325i | 0.998595 | + | 0.0529907i | \(0.0168754\pi\) |
−0.920248 | + | 0.391335i | \(0.872014\pi\) | |||||||
\(440\) | 4.70906 | + | 8.15632i | 0.224495 | + | 0.388837i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −3.05390 | + | 5.28951i | −0.145259 | + | 0.251596i | ||||
\(443\) | 15.5274 | + | 5.65151i | 0.737729 | + | 0.268511i | 0.683433 | − | 0.730013i | \(-0.260486\pi\) |
0.0542962 | + | 0.998525i | \(0.482708\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −26.9109 | − | 22.5809i | −1.27570 | − | 1.07044i | ||||
\(446\) | 24.5342 | + | 20.5866i | 1.16173 | + | 0.974806i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 52.2002 | + | 18.9993i | 2.46623 | + | 0.897633i | ||||
\(449\) | −2.37181 | + | 4.10809i | −0.111933 | + | 0.193873i | −0.916549 | − | 0.399921i | \(-0.869037\pi\) |
0.804617 | + | 0.593794i | \(0.202371\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −4.69001 | − | 8.12334i | −0.220844 | − | 0.382513i | ||||
\(452\) | 1.04962 | + | 5.95268i | 0.0493699 | + | 0.279990i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −45.3142 | + | 16.4930i | −2.12670 | + | 0.774055i | ||||
\(455\) | −2.12031 | + | 12.0249i | −0.0994017 | + | 0.563735i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −17.1659 | + | 14.4039i | −0.802989 | + | 0.673788i | −0.948923 | − | 0.315506i | \(-0.897826\pi\) |
0.145934 | + | 0.989294i | \(0.453381\pi\) | |||||||
\(458\) | 18.5232 | 0.865534 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 22.4214 | 1.04540 | ||||||||
\(461\) | 11.4311 | − | 9.59184i | 0.532400 | − | 0.446737i | −0.336529 | − | 0.941673i | \(-0.609253\pi\) |
0.868929 | + | 0.494936i | \(0.164809\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −2.57818 | + | 14.6216i | −0.119818 | + | 0.679524i | 0.864433 | + | 0.502748i | \(0.167678\pi\) |
−0.984251 | + | 0.176776i | \(0.943433\pi\) | |||||||
\(464\) | −7.57242 | + | 2.75614i | −0.351541 | + | 0.127950i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 8.70450 | + | 49.3657i | 0.403228 | + | 2.28682i | ||||
\(467\) | −7.67571 | − | 13.2947i | −0.355190 | − | 0.615206i | 0.631961 | − | 0.775000i | \(-0.282250\pi\) |
−0.987150 | + | 0.159794i | \(0.948917\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −10.0152 | + | 17.3468i | −0.462458 | + | 0.801001i | ||||
\(470\) | 29.7052 | + | 10.8118i | 1.37020 | + | 0.498711i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −0.220182 | − | 0.184755i | −0.0101347 | − | 0.00850403i | ||||
\(473\) | 17.4347 | + | 14.6294i | 0.801647 | + | 0.672662i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.22837 | − | 0.447089i | −0.0563614 | − | 0.0205139i | ||||
\(476\) | 14.4159 | − | 24.9690i | 0.660750 | − | 1.14445i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 10.5768 | + | 18.3196i | 0.483772 | + | 0.837918i | ||||
\(479\) | −1.81438 | − | 10.2899i | −0.0829012 | − | 0.470156i | −0.997790 | − | 0.0664497i | \(-0.978833\pi\) |
0.914889 | − | 0.403706i | \(-0.132278\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 10.2511 | − | 3.73109i | 0.467409 | − | 0.170123i | ||||
\(482\) | 2.10830 | − | 11.9568i | 0.0960306 | − | 0.544617i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 11.9837 | − | 10.0555i | 0.544712 | − | 0.457068i | ||||
\(485\) | −10.5820 | −0.480505 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −16.1649 | −0.732500 | −0.366250 | − | 0.930516i | \(-0.619359\pi\) | ||||
−0.366250 | + | 0.930516i | \(0.619359\pi\) | |||||||
\(488\) | −3.74078 | + | 3.13889i | −0.169337 | + | 0.142091i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 12.6165 | − | 71.5519i | 0.569957 | − | 3.23239i | ||||
\(491\) | −10.1274 | + | 3.68607i | −0.457043 | + | 0.166350i | −0.560274 | − | 0.828307i | \(-0.689304\pi\) |
0.103231 | + | 0.994657i | \(0.467082\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.22386 | + | 6.94087i | 0.0551200 | + | 0.312601i | ||||
\(494\) | −2.37477 | − | 4.11322i | −0.106846 | − | 0.185062i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.99119 | − | 3.44885i | 0.0894071 | − | 0.154858i | ||||
\(497\) | 14.0584 | + | 5.11684i | 0.630605 | + | 0.229522i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −14.6982 | − | 12.3333i | −0.657983 | − | 0.552114i | 0.251498 | − | 0.967858i | \(-0.419077\pi\) |
−0.909482 | + | 0.415744i | \(0.863521\pi\) | |||||||
\(500\) | −22.7938 | − | 19.1263i | −1.01937 | − | 0.855352i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −14.5565 | − | 5.29815i | −0.649690 | − | 0.236468i | ||||
\(503\) | −6.01253 | + | 10.4140i | −0.268086 | + | 0.464338i | −0.968367 | − | 0.249529i | \(-0.919724\pi\) |
0.700282 | + | 0.713866i | \(0.253058\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 19.2389 | + | 33.3228i | 0.856120 | + | 1.48284i | ||||
\(506\) | −6.58959 | − | 37.3714i | −0.292943 | − | 1.66136i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 21.8311 | − | 7.94586i | 0.968598 | − | 0.352541i | ||||
\(509\) | 2.59657 | − | 14.7259i | 0.115091 | − | 0.652712i | −0.871615 | − | 0.490192i | \(-0.836927\pi\) |
0.986705 | − | 0.162520i | \(-0.0519622\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 47.3947 | − | 39.7689i | 2.09662 | − | 1.75927i | ||||
\(512\) | 27.3678 | 1.20950 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 49.3922 | 2.17860 | ||||||||
\(515\) | 14.2870 | − | 11.9883i | 0.629562 | − | 0.528266i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5.17581 | − | 29.3535i | 0.227632 | − | 1.29097i | ||||
\(518\) | −86.8597 | + | 31.6143i | −3.81640 | + | 1.38905i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.479268 | − | 2.71806i | −0.0210173 | − | 0.119195i | ||||
\(521\) | 18.7094 | + | 32.4056i | 0.819673 | + | 1.41972i | 0.905923 | + | 0.423442i | \(0.139178\pi\) |
−0.0862502 | + | 0.996274i | \(0.527488\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 4.22489 | − | 7.31773i | 0.184742 | − | 0.319982i | −0.758748 | − | 0.651385i | \(-0.774188\pi\) |
0.943489 | + | 0.331403i | \(0.107522\pi\) | |||||||
\(524\) | −36.2619 | − | 13.1982i | −1.58411 | − | 0.576568i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 44.6029 | + | 37.4263i | 1.94478 | + | 1.63186i | ||||
\(527\) | −2.66815 | − | 2.23885i | −0.116227 | − | 0.0975256i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 4.20916 | + | 1.53201i | 0.183007 | + | 0.0666091i | ||||
\(530\) | −13.9242 | + | 24.1175i | −0.604829 | + | 1.04760i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 11.2100 | + | 19.4163i | 0.486017 | + | 0.841805i | ||||
\(533\) | 0.477330 | + | 2.70707i | 0.0206754 | + | 0.117256i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 14.4529 | − | 5.26043i | 0.624854 | − | 0.227428i | ||||
\(536\) | 0.786209 | − | 4.45881i | 0.0339591 | − | 0.192591i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −15.3341 | + | 12.8668i | −0.661098 | + | 0.554727i | ||||
\(539\) | −68.5065 | −2.95078 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 12.6259 | 0.542828 | 0.271414 | − | 0.962463i | \(-0.412509\pi\) | ||||
0.271414 | + | 0.962463i | \(0.412509\pi\) | |||||||
\(542\) | 42.7798 | − | 35.8965i | 1.83755 | − | 1.54189i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 3.25680 | − | 18.4702i | 0.139634 | − | 0.791904i | ||||
\(545\) | 10.9445 | − | 3.98347i | 0.468811 | − | 0.170633i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 5.45169 | + | 30.9181i | 0.233098 | + | 1.32196i | 0.846583 | + | 0.532256i | \(0.178656\pi\) |
−0.613486 | + | 0.789706i | \(0.710233\pi\) | |||||||
\(548\) | −4.58365 | − | 7.93912i | −0.195804 | − | 0.339142i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −3.13563 | + | 5.43107i | −0.133704 | + | 0.231582i | ||||
\(551\) | −5.15008 | − | 1.87448i | −0.219401 | − | 0.0798554i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 16.9090 | + | 14.1883i | 0.719044 | + | 0.603349i | ||||
\(554\) | 0.610144 | + | 0.511971i | 0.0259225 | + | 0.0217516i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −31.3838 | − | 11.4228i | −1.33097 | − | 0.484433i | ||||
\(557\) | −7.96515 | + | 13.7960i | −0.337494 | + | 0.584557i | −0.983961 | − | 0.178385i | \(-0.942913\pi\) |
0.646467 | + | 0.762942i | \(0.276246\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.33484 | − | 5.77610i | −0.141048 | − | 0.244303i | ||||
\(560\) | −4.71225 | − | 26.7245i | −0.199129 | − | 1.12932i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 27.9195 | − | 10.1619i | 1.17771 | − | 0.428652i | ||||
\(563\) | 4.31704 | − | 24.4832i | 0.181942 | − | 1.03184i | −0.747881 | − | 0.663833i | \(-0.768928\pi\) |
0.929822 | − | 0.368009i | \(-0.119960\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 3.81167 | − | 3.19837i | 0.160358 | − | 0.134557i | ||||
\(566\) | 33.0695 | 1.39001 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −3.38165 | −0.141891 | ||||||||
\(569\) | −14.7004 | + | 12.3351i | −0.616273 | + | 0.517114i | −0.896629 | − | 0.442782i | \(-0.853992\pi\) |
0.280357 | + | 0.959896i | \(0.409547\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3.53882 | + | 20.0696i | −0.148095 | + | 0.839888i | 0.816735 | + | 0.577013i | \(0.195782\pi\) |
−0.964830 | + | 0.262875i | \(0.915329\pi\) | |||||||
\(572\) | −11.9285 | + | 4.34162i | −0.498756 | + | 0.181532i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −4.04452 | − | 22.9376i | −0.168815 | − | 0.957398i | ||||
\(575\) | 1.53036 | + | 2.65066i | 0.0638205 | + | 0.110540i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −11.6495 | + | 20.1776i | −0.484976 | + | 0.840004i | −0.999851 | − | 0.0172619i | \(-0.994505\pi\) |
0.514875 | + | 0.857265i | \(0.327838\pi\) | |||||||
\(578\) | 22.7907 | + | 8.29515i | 0.947970 | + | 0.345033i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −11.9006 | − | 9.98581i | −0.494147 | − | 0.414638i | ||||
\(581\) | 31.3972 | + | 26.3454i | 1.30257 | + | 1.09299i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 24.6745 | + | 8.98079i | 1.02191 | + | 0.371946i | ||||
\(584\) | −6.99237 | + | 12.1111i | −0.289346 | + | 0.501163i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 26.1636 | + | 45.3167i | 1.08081 | + | 1.87201i | ||||
\(587\) | 6.40923 | + | 36.3485i | 0.264537 | + | 1.50026i | 0.770350 | + | 0.637621i | \(0.220082\pi\) |
−0.505813 | + | 0.862643i | \(0.668807\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.54512 | − | 0.926348i | 0.104870 | − | 0.0381695i | ||||
\(590\) | −0.200415 | + | 1.13661i | −0.00825094 | + | 0.0467934i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −18.5723 | + | 15.5840i | −0.763318 | + | 0.640500i | ||||
\(593\) | −4.36830 | −0.179385 | −0.0896923 | − | 0.995970i | \(-0.528588\pi\) | ||||
−0.0896923 | + | 0.995970i | \(0.528588\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −23.7340 | −0.973000 | ||||||||
\(596\) | −17.1730 | + | 14.4099i | −0.703434 | + | 0.590251i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −1.93109 | + | 10.9518i | −0.0789682 | + | 0.447851i | ||||
\(599\) | −29.3237 | + | 10.6729i | −1.19813 | + | 0.436085i | −0.862572 | − | 0.505934i | \(-0.831148\pi\) |
−0.335561 | + | 0.942019i | \(0.608926\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 7.62960 | + | 43.2696i | 0.311218 | + | 1.76500i | 0.592686 | + | 0.805433i | \(0.298067\pi\) |
−0.281468 | + | 0.959571i | \(0.590821\pi\) | |||||||
\(602\) | 28.2568 | + | 48.9422i | 1.15166 | + | 1.99474i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.896114 | − | 1.55211i | 0.0364623 | − | 0.0631546i | ||||
\(605\) | −12.1010 | − | 4.40441i | −0.491977 | − | 0.179065i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 13.2975 | + | 11.1579i | 0.539729 | + | 0.452886i | 0.871445 | − | 0.490493i | \(-0.163183\pi\) |
−0.331716 | + | 0.943379i | \(0.607628\pi\) | |||||||
\(608\) | 11.1723 | + | 9.37463i | 0.453095 | + | 0.380192i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 18.4257 | + | 6.70642i | 0.746036 | + | 0.271535i | ||||
\(611\) | −4.36740 | + | 7.56456i | −0.176686 | + | 0.306029i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 0.599024 | + | 1.03754i | 0.0241944 | + | 0.0419059i | 0.877869 | − | 0.478901i | \(-0.158965\pi\) |
−0.853675 | + | 0.520807i | \(0.825631\pi\) | |||||||
\(614\) | −7.52449 | − | 42.6735i | −0.303664 | − | 1.72216i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 20.7207 | − | 7.54173i | 0.834862 | − | 0.303865i | ||||
\(617\) | −4.51723 | + | 25.6185i | −0.181857 | + | 1.03136i | 0.748070 | + | 0.663619i | \(0.230980\pi\) |
−0.929927 | + | 0.367743i | \(0.880131\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 7.37804 | − | 6.19091i | 0.296549 | − | 0.248834i | −0.482357 | − | 0.875974i | \(-0.660219\pi\) |
0.778906 | + | 0.627141i | \(0.215775\pi\) | |||||||
\(620\) | 7.67733 | 0.308329 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −47.1311 | −1.88978 | ||||||||
\(623\) | −63.0063 | + | 52.8685i | −2.52429 | + | 2.11813i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −3.63587 | + | 20.6201i | −0.145435 | + | 0.824802i | ||||
\(626\) | 22.3092 | − | 8.11987i | 0.891653 | − | 0.324535i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −6.03648 | − | 34.2346i | −0.240882 | − | 1.36611i | ||||
\(629\) | 10.6022 | + | 18.3635i | 0.422737 | + | 0.732202i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 7.08366 | − | 12.2693i | 0.281996 | − | 0.488431i | −0.689880 | − | 0.723924i | \(-0.742337\pi\) |
0.971876 | + | 0.235492i | \(0.0756702\pi\) | |||||||
\(632\) | −4.68844 | − | 1.70645i | −0.186496 | − | 0.0678791i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −41.0494 | − | 34.4445i | −1.63028 | − | 1.36797i | ||||
\(635\) | −14.6502 | − | 12.2930i | −0.581376 | − | 0.487833i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 18.8652 | + | 6.86638i | 0.747468 | + | 0.272056i | ||||
\(638\) | −13.1465 | + | 22.7704i | −0.520476 | + | 0.901490i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 8.77695 | + | 15.2021i | 0.346939 | + | 0.600917i | ||||
\(641\) | −3.85515 | − | 21.8636i | −0.152269 | − | 0.863561i | −0.961240 | − | 0.275713i | \(-0.911086\pi\) |
0.808971 | − | 0.587849i | \(-0.200025\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −20.2380 | + | 7.36602i | −0.798107 | + | 0.290487i | −0.708702 | − | 0.705508i | \(-0.750719\pi\) |
−0.0894054 | + | 0.995995i | \(0.528497\pi\) | |||||||
\(644\) | 9.11568 | − | 51.6976i | 0.359208 | − | 2.03717i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 7.07207 | − | 5.93417i | 0.278247 | − | 0.233477i | ||||
\(647\) | −13.4037 | −0.526952 | −0.263476 | − | 0.964666i | \(-0.584869\pi\) | ||||
−0.263476 | + | 0.964666i | \(0.584869\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.08823 | 0.0427168 | ||||||||
\(650\) | 1.40784 | − | 1.18132i | 0.0552200 | − | 0.0463351i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.521261 | + | 2.95622i | −0.0204142 | + | 0.115774i | ||||
\(653\) | −17.7704 | + | 6.46790i | −0.695409 | + | 0.253108i | −0.665450 | − | 0.746443i | \(-0.731760\pi\) |
−0.0299599 | + | 0.999551i | \(0.509538\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 5.51614 | + | 31.2836i | 0.215533 | + | 1.22235i | ||||
\(656\) | −3.05455 | − | 5.29063i | −0.119260 | − | 0.206564i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 37.0059 | − | 64.0962i | 1.44264 | − | 2.49873i | ||||
\(659\) | −0.0264819 | − | 0.00963862i | −0.00103159 | − | 0.000375467i | 0.341504 | − | 0.939880i | \(-0.389064\pi\) |
−0.342536 | + | 0.939505i | \(0.611286\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −34.5040 | − | 28.9523i | −1.34205 | − | 1.12611i | −0.981095 | − | 0.193529i | \(-0.938007\pi\) |
−0.360954 | − | 0.932583i | \(-0.617549\pi\) | |||||||
\(662\) | −42.5943 | − | 35.7408i | −1.65547 | − | 1.38911i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −8.70565 | − | 3.16860i | −0.337845 | − | 0.122965i | ||||
\(665\) | 9.22800 | − | 15.9834i | 0.357846 | − | 0.619808i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 6.41623 | + | 11.1132i | 0.248438 | + | 0.430306i | ||||
\(668\) | 10.4567 | + | 59.3029i | 0.404582 | + | 2.29450i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −17.0838 | + | 6.21799i | −0.660005 | + | 0.240222i | ||||
\(671\) | 3.21049 | − | 18.2076i | 0.123940 | − | 0.702897i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −7.47636 | + | 6.27341i | −0.288192 | + | 0.241822i | −0.775409 | − | 0.631459i | \(-0.782456\pi\) |
0.487217 | + | 0.873281i | \(0.338012\pi\) | |||||||
\(674\) | 23.2607 | 0.895968 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −28.9847 | −1.11480 | ||||||||
\(677\) | −31.3165 | + | 26.2776i | −1.20359 | + | 1.00993i | −0.204070 | + | 0.978956i | \(0.565417\pi\) |
−0.999520 | + | 0.0309756i | \(0.990139\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −4.30224 | + | 24.3992i | −0.165105 | + | 0.936356i | ||||
\(680\) | 5.04122 | − | 1.83486i | 0.193322 | − | 0.0703635i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −2.25634 | − | 12.7964i | −0.0863999 | − | 0.489998i | ||||
\(683\) | −22.0126 | − | 38.1269i | −0.842287 | − | 1.45888i | −0.887957 | − | 0.459927i | \(-0.847875\pi\) |
0.0456696 | − | 0.998957i | \(-0.485458\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −3.77322 | + | 6.53541i | −0.144167 | + | 0.249705i | ||||
\(686\) | −92.0740 | − | 33.5122i | −3.51540 | − | 1.27950i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 11.3550 | + | 9.52797i | 0.432905 | + | 0.363250i | ||||
\(689\) | −5.89470 | − | 4.94624i | −0.224570 | − | 0.188437i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −20.2519 | − | 7.37108i | −0.770418 | − | 0.280409i | −0.0732468 | − | 0.997314i | \(-0.523336\pi\) |
−0.697171 | + | 0.716905i | \(0.745558\pi\) | |||||||
\(692\) | −11.4970 | + | 19.9133i | −0.437049 | + | 0.756991i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 3.73302 | + | 6.46577i | 0.141703 | + | 0.245437i | ||||
\(695\) | 4.77408 | + | 27.0752i | 0.181091 | + | 1.02702i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −5.02084 | + | 1.82743i | −0.190178 | + | 0.0692190i | ||||
\(698\) | −10.7739 | + | 61.1016i | −0.407796 | + | 2.31273i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −6.64568 | + | 5.57639i | −0.251183 | + | 0.210768i | ||||
\(701\) | 12.8521 | 0.485419 | 0.242709 | − | 0.970099i | \(-0.421964\pi\) | ||||
0.242709 | + | 0.970099i | \(0.421964\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −16.4889 | −0.621891 | ||||||||
\(704\) | 36.4177 | − | 30.5580i | 1.37254 | − | 1.15170i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 9.25353 | − | 52.4794i | 0.348261 | − | 1.97509i | ||||
\(707\) | 84.6548 | − | 30.8118i | 3.18377 | − | 1.15880i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −8.63235 | − | 48.9565i | −0.324195 | − | 1.83860i | −0.515276 | − | 0.857025i | \(-0.672310\pi\) |
0.191081 | − | 0.981574i | \(-0.438801\pi\) | |||||||
\(710\) | 6.78937 | + | 11.7595i | 0.254800 | + | 0.441327i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 9.29562 | − | 16.1005i | 0.348368 | − | 0.603392i | ||||
\(713\) | −5.95923 | − | 2.16898i | −0.223175 | − | 0.0812290i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 8.00489 | + | 6.71690i | 0.299366 | + | 0.251198i | ||||
\(716\) | −20.4295 | − | 17.1424i | −0.763486 | − | 0.640641i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 8.40133 | + | 3.05784i | 0.313535 | + | 0.114117i | ||||
\(719\) | −2.81873 | + | 4.88218i | −0.105121 | + | 0.182075i | −0.913788 | − | 0.406192i | \(-0.866856\pi\) |
0.808667 | + | 0.588267i | \(0.200190\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −21.8330 | − | 37.8159i | −0.813104 | − | 1.40834i | ||||
\(722\) | −5.76453 | − | 32.6923i | −0.214534 | − | 1.21668i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 3.45839 | − | 1.25875i | 0.128530 | − | 0.0467811i | ||||
\(725\) | 0.368254 | − | 2.08847i | 0.0136766 | − | 0.0775638i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −34.7894 | + | 29.1917i | −1.29027 | + | 1.08266i | −0.298525 | + | 0.954402i | \(0.596495\pi\) |
−0.991741 | + | 0.128260i | \(0.959061\pi\) | |||||||
\(728\) | −6.46195 | −0.239496 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 56.1546 | 2.07837 | ||||||||
\(731\) | 9.93117 | − | 8.33324i | 0.367317 | − | 0.308216i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −4.45700 | + | 25.2769i | −0.164623 | + | 0.933624i | 0.784829 | + | 0.619712i | \(0.212751\pi\) |
−0.949452 | + | 0.313912i | \(0.898360\pi\) | |||||||
\(734\) | −34.9386 | + | 12.7166i | −1.28961 | + | 0.469378i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −5.92978 | − | 33.6295i | −0.218575 | − | 1.23960i | ||||
\(737\) | 8.57098 | + | 14.8454i | 0.315716 | + | 0.546837i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 7.22763 | − | 12.5186i | 0.265873 | − | 0.460505i | −0.701919 | − | 0.712256i | \(-0.747673\pi\) |
0.967792 | + | 0.251752i | \(0.0810066\pi\) | |||||||
\(740\) | −43.9203 | − | 15.9857i | −1.61454 | − | 0.587645i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 49.9471 | + | 41.9106i | 1.83362 | + | 1.53859i | ||||
\(743\) | −26.6535 | − | 22.3650i | −0.977824 | − | 0.820492i | 0.00593583 | − | 0.999982i | \(-0.498111\pi\) |
−0.983760 | + | 0.179491i | \(0.942555\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 17.3412 | + | 6.31168i | 0.635332 | + | 0.231242i | ||||
\(746\) | 31.5084 | − | 54.5742i | 1.15360 | − | 1.99810i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −12.3371 | − | 21.3685i | −0.451089 | − | 0.781308i | ||||
\(749\) | −6.25310 | − | 35.4631i | −0.228483 | − | 1.29579i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −17.0258 | + | 6.19687i | −0.621279 | + | 0.226127i | −0.633431 | − | 0.773799i | \(-0.718354\pi\) |
0.0121520 | + | 0.999926i | \(0.496132\pi\) | |||||||
\(752\) | 3.37094 | − | 19.1176i | 0.122926 | − | 0.697146i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 5.90254 | − | 4.95282i | 0.214958 | − | 0.180371i | ||||
\(755\) | −1.47535 | −0.0536933 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −37.0045 | −1.34495 | −0.672475 | − | 0.740120i | \(-0.734769\pi\) | ||||
−0.672475 | + | 0.740120i | \(0.734769\pi\) | |||||||
\(758\) | 34.1076 | − | 28.6197i | 1.23884 | − | 1.03951i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.724413 | + | 4.10835i | −0.0262772 | + | 0.149026i | ||||
\(761\) | −11.6939 | + | 4.25624i | −0.423905 | + | 0.154289i | −0.545159 | − | 0.838333i | \(-0.683531\pi\) |
0.121254 | + | 0.992621i | \(0.461308\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −4.73517 | − | 26.8545i | −0.171425 | − | 0.972197i | ||||
\(764\) | 15.6257 | + | 27.0644i | 0.565316 | + | 0.979156i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 10.5155 | − | 18.2133i | 0.379939 | − | 0.658074i | ||||
\(767\) | −0.299676 | − | 0.109073i | −0.0108207 | − | 0.00393840i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −31.3202 | − | 26.2807i | −1.12943 | − | 0.947707i | −0.130391 | − | 0.991463i | \(-0.541623\pi\) |
−0.999042 | + | 0.0437551i | \(0.986068\pi\) | |||||||
\(770\) | −67.8272 | − | 56.9138i | −2.44432 | − | 2.05103i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −49.1087 | − | 17.8741i | −1.76746 | − | 0.643303i | ||||
\(773\) | −18.2081 | + | 31.5374i | −0.654900 | + | 1.13432i | 0.327019 | + | 0.945018i | \(0.393956\pi\) |
−0.981919 | + | 0.189302i | \(0.939377\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.524012 | + | 0.907615i | 0.0188231 | + | 0.0326025i | ||||
\(776\) | −0.972463 | − | 5.51511i | −0.0349094 | − | 0.197981i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −42.1635 | + | 15.3463i | −1.51164 | + | 0.550190i | ||||
\(779\) | 0.721484 | − | 4.09174i | 0.0258498 | − | 0.146602i | ||||
\(780\) | 0 |