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 | 163.2 | ||
Root | \(-1.22778i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.163 |
Dual form | 729.2.e.j.568.2 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.48321 | − | 0.539846i | 1.04879 | − | 0.381729i | 0.240585 | − | 0.970628i | \(-0.422661\pi\) |
0.808206 | + | 0.588899i | \(0.200439\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.376403 | − | 0.315840i | 0.188202 | − | 0.157920i | ||||
\(5\) | 0.291470 | + | 1.65301i | 0.130349 | + | 0.739247i | 0.977986 | + | 0.208670i | \(0.0669136\pi\) |
−0.847637 | + | 0.530577i | \(0.821975\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.12905 | + | 1.78649i | 0.804707 | + | 0.675229i | 0.949338 | − | 0.314257i | \(-0.101755\pi\) |
−0.144632 | + | 0.989486i | \(0.546200\pi\) | |||||||
\(8\) | −1.19062 | + | 2.06222i | −0.420948 | + | 0.729104i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.32468 | + | 2.29442i | 0.418901 | + | 0.725558i | ||||
\(11\) | −0.720852 | + | 4.08816i | −0.217345 | + | 1.23263i | 0.659445 | + | 0.751753i | \(0.270791\pi\) |
−0.876790 | + | 0.480873i | \(0.840320\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −6.46137 | − | 2.35175i | −1.79206 | − | 0.652257i | −0.999074 | − | 0.0430184i | \(-0.986303\pi\) |
−0.792987 | − | 0.609239i | \(-0.791475\pi\) | |||||||
\(14\) | 4.12227 | + | 1.50038i | 1.10172 | + | 0.400995i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.823316 | + | 4.66925i | −0.205829 | + | 1.16731i | ||||
\(17\) | −0.488276 | − | 0.845718i | −0.118424 | − | 0.205117i | 0.800719 | − | 0.599040i | \(-0.204451\pi\) |
−0.919143 | + | 0.393923i | \(0.871118\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.34264 | + | 2.32553i | −0.308024 | + | 0.533513i | −0.977930 | − | 0.208933i | \(-0.933001\pi\) |
0.669906 | + | 0.742446i | \(0.266334\pi\) | |||||||
\(20\) | 0.631796 | + | 0.530140i | 0.141274 | + | 0.118543i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.13780 | + | 6.45276i | 0.242579 | + | 1.37573i | ||||
\(23\) | 1.23576 | − | 1.03693i | 0.257674 | − | 0.216214i | −0.504795 | − | 0.863239i | \(-0.668432\pi\) |
0.762468 | + | 0.647026i | \(0.223987\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.05098 | − | 0.746497i | 0.410197 | − | 0.149299i | ||||
\(26\) | −10.8532 | −2.12848 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.36563 | 0.258079 | ||||||||
\(29\) | 7.73168 | − | 2.81410i | 1.43574 | − | 0.522565i | 0.497166 | − | 0.867655i | \(-0.334374\pi\) |
0.938570 | + | 0.345090i | \(0.112152\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.799803 | − | 0.671115i | 0.143649 | − | 0.120536i | −0.568132 | − | 0.822938i | \(-0.692334\pi\) |
0.711780 | + | 0.702402i | \(0.247889\pi\) | |||||||
\(32\) | 0.472527 | + | 2.67984i | 0.0835318 | + | 0.473733i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.18078 | − | 0.990788i | −0.202501 | − | 0.169919i | ||||
\(35\) | −2.33252 | + | 4.04005i | −0.394268 | + | 0.682893i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.654172 | + | 1.13306i | 0.107545 | + | 0.186274i | 0.914775 | − | 0.403963i | \(-0.132368\pi\) |
−0.807230 | + | 0.590237i | \(0.799034\pi\) | |||||||
\(38\) | −0.736003 | + | 4.17408i | −0.119395 | + | 0.677125i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −3.75589 | − | 1.36703i | −0.593859 | − | 0.216147i | ||||
\(41\) | 4.55579 | + | 1.65817i | 0.711495 | + | 0.258963i | 0.672311 | − | 0.740269i | \(-0.265302\pi\) |
0.0391841 | + | 0.999232i | \(0.487524\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.70874 | − | 9.69073i | 0.260580 | − | 1.47782i | −0.520752 | − | 0.853708i | \(-0.674348\pi\) |
0.781332 | − | 0.624115i | \(-0.214540\pi\) | |||||||
\(44\) | 1.01987 | + | 1.76647i | 0.153751 | + | 0.266305i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.27312 | − | 2.20510i | 0.187711 | − | 0.325125i | ||||
\(47\) | 9.57379 | + | 8.03337i | 1.39648 | + | 1.17179i | 0.962636 | + | 0.270800i | \(0.0872882\pi\) |
0.433846 | + | 0.900987i | \(0.357156\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.125792 | + | 0.713402i | 0.0179703 | + | 0.101915i | ||||
\(50\) | 2.63906 | − | 2.21443i | 0.373219 | − | 0.313168i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −3.17486 | + | 1.15555i | −0.440273 | + | 0.160246i | ||||
\(53\) | 7.34280 | 1.00861 | 0.504305 | − | 0.863525i | \(-0.331749\pi\) | ||||
0.504305 | + | 0.863525i | \(0.331749\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −6.96786 | −0.939546 | ||||||||
\(56\) | −6.21903 | + | 2.26354i | −0.831052 | + | 0.302478i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 9.94855 | − | 8.34783i | 1.30631 | − | 1.09612i | ||||
\(59\) | 1.57184 | + | 8.91436i | 0.204636 | + | 1.16055i | 0.898011 | + | 0.439973i | \(0.145012\pi\) |
−0.693375 | + | 0.720577i | \(0.743877\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.984935 | − | 0.826459i | −0.126108 | − | 0.105817i | 0.577552 | − | 0.816354i | \(-0.304008\pi\) |
−0.703660 | + | 0.710536i | \(0.748452\pi\) | |||||||
\(62\) | 0.823982 | − | 1.42718i | 0.104646 | − | 0.181252i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −2.59373 | − | 4.49247i | −0.324216 | − | 0.561558i | ||||
\(65\) | 2.00416 | − | 11.3662i | 0.248585 | − | 1.40980i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.36609 | + | 1.58913i | 0.533403 | + | 0.194143i | 0.594657 | − | 0.803979i | \(-0.297288\pi\) |
−0.0612541 | + | 0.998122i | \(0.519510\pi\) | |||||||
\(68\) | −0.450900 | − | 0.164114i | −0.0546797 | − | 0.0199018i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.27863 | + | 7.25146i | −0.152825 | + | 0.866716i | ||||
\(71\) | −2.81187 | − | 4.87030i | −0.333707 | − | 0.577998i | 0.649528 | − | 0.760337i | \(-0.274966\pi\) |
−0.983236 | + | 0.182339i | \(0.941633\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.28072 | − | 3.95033i | 0.266938 | − | 0.462351i | −0.701131 | − | 0.713032i | \(-0.747321\pi\) |
0.968070 | + | 0.250681i | \(0.0806547\pi\) | |||||||
\(74\) | 1.58196 | + | 1.32742i | 0.183899 | + | 0.154309i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.229119 | + | 1.29940i | 0.0262817 | + | 0.149051i | ||||
\(77\) | −8.83817 | + | 7.41611i | −1.00720 | + | 0.845144i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.37596 | + | 1.59272i | −0.492334 | + | 0.179195i | −0.576243 | − | 0.817278i | \(-0.695482\pi\) |
0.0839088 | + | 0.996473i | \(0.473260\pi\) | |||||||
\(80\) | −7.95828 | −0.889763 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 7.65237 | 0.845063 | ||||||||
\(83\) | −5.41676 | + | 1.97154i | −0.594566 | + | 0.216404i | −0.621737 | − | 0.783226i | \(-0.713573\pi\) |
0.0271703 | + | 0.999631i | \(0.491350\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.25566 | − | 1.05362i | 0.136196 | − | 0.114282i | ||||
\(86\) | −2.69708 | − | 15.2959i | −0.290833 | − | 1.64940i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −7.57240 | − | 6.35400i | −0.807221 | − | 0.677339i | ||||
\(89\) | −2.27221 | + | 3.93558i | −0.240854 | + | 0.417171i | −0.960958 | − | 0.276695i | \(-0.910761\pi\) |
0.720104 | + | 0.693866i | \(0.244094\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −9.55523 | − | 16.5502i | −1.00166 | − | 1.73493i | ||||
\(92\) | 0.137642 | − | 0.780605i | 0.0143501 | − | 0.0813837i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 18.5368 | + | 6.74683i | 1.91192 | + | 0.695883i | ||||
\(95\) | −4.23546 | − | 1.54158i | −0.434549 | − | 0.158163i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.48911 | − | 8.44516i | 0.151196 | − | 0.857476i | −0.810985 | − | 0.585067i | \(-0.801068\pi\) |
0.962181 | − | 0.272410i | \(-0.0878205\pi\) | |||||||
\(98\) | 0.571704 | + | 0.990221i | 0.0577508 | + | 0.100027i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.536224 | − | 0.928767i | 0.0536224 | − | 0.0928767i | ||||
\(101\) | −5.97952 | − | 5.01741i | −0.594984 | − | 0.499251i | 0.294845 | − | 0.955545i | \(-0.404732\pi\) |
−0.889829 | + | 0.456294i | \(0.849176\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.376148 | − | 2.13324i | −0.0370629 | − | 0.210194i | 0.960652 | − | 0.277754i | \(-0.0895899\pi\) |
−0.997715 | + | 0.0675594i | \(0.978479\pi\) | |||||||
\(104\) | 12.5429 | − | 10.5247i | 1.22993 | − | 1.03203i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 10.8909 | − | 3.96398i | 1.05782 | − | 0.385016i | ||||
\(107\) | 12.5849 | 1.21663 | 0.608317 | − | 0.793695i | \(-0.291845\pi\) | ||||
0.608317 | + | 0.793695i | \(0.291845\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −12.2140 | −1.16989 | −0.584945 | − | 0.811073i | \(-0.698884\pi\) | ||||
−0.584945 | + | 0.811073i | \(0.698884\pi\) | |||||||
\(110\) | −10.3348 | + | 3.76157i | −0.985387 | + | 0.358652i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −10.0944 | + | 8.47025i | −0.953836 | + | 0.800363i | ||||
\(113\) | 0.0782863 | + | 0.443984i | 0.00736456 | + | 0.0417665i | 0.988269 | − | 0.152726i | \(-0.0488052\pi\) |
−0.980904 | + | 0.194492i | \(0.937694\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.07423 | + | 1.74049i | 0.193423 | + | 0.162301i | ||||
\(116\) | 2.02142 | − | 3.50121i | 0.187685 | − | 0.325079i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 7.14376 | + | 12.3734i | 0.657636 | + | 1.13906i | ||||
\(119\) | 0.471300 | − | 2.67288i | 0.0432040 | − | 0.245022i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.85677 | − | 2.13169i | −0.532434 | − | 0.193790i | ||||
\(122\) | −1.90703 | − | 0.694103i | −0.172655 | − | 0.0628411i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.0890839 | − | 0.505220i | 0.00799997 | − | 0.0453701i | ||||
\(125\) | 6.02803 | + | 10.4409i | 0.539164 | + | 0.933859i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.265534 | − | 0.459919i | 0.0235624 | − | 0.0408112i | −0.854004 | − | 0.520267i | \(-0.825833\pi\) |
0.877566 | + | 0.479456i | \(0.159166\pi\) | |||||||
\(128\) | −10.4414 | − | 8.76136i | −0.922896 | − | 0.774402i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −3.16337 | − | 17.9404i | −0.277446 | − | 1.57348i | ||||
\(131\) | −8.74519 | + | 7.33809i | −0.764071 | + | 0.641132i | −0.939183 | − | 0.343417i | \(-0.888416\pi\) |
0.175112 | + | 0.984548i | \(0.443971\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −7.01309 | + | 2.55256i | −0.608112 | + | 0.221335i | ||||
\(134\) | 7.33374 | 0.633539 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.32541 | 0.199402 | ||||||||
\(137\) | 3.97419 | − | 1.44649i | 0.339538 | − | 0.123582i | −0.166623 | − | 0.986021i | \(-0.553286\pi\) |
0.506161 | + | 0.862439i | \(0.331064\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −8.54563 | + | 7.17064i | −0.724831 | + | 0.608205i | −0.928717 | − | 0.370789i | \(-0.879087\pi\) |
0.203886 | + | 0.978995i | \(0.434643\pi\) | |||||||
\(140\) | 0.398039 | + | 2.25739i | 0.0336404 | + | 0.190784i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −6.79981 | − | 5.70572i | −0.570628 | − | 0.478813i | ||||
\(143\) | 14.2720 | − | 24.7198i | 1.19348 | − | 2.06718i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 6.90528 | + | 11.9603i | 0.573452 | + | 0.993248i | ||||
\(146\) | 1.25023 | − | 7.09042i | 0.103470 | − | 0.586807i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.604098 | + | 0.219874i | 0.0496566 | + | 0.0180735i | ||||
\(149\) | −18.3030 | − | 6.66176i | −1.49944 | − | 0.545753i | −0.543527 | − | 0.839391i | \(-0.682912\pi\) |
−0.955917 | + | 0.293639i | \(0.905134\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.215820 | + | 1.22398i | −0.0175632 | + | 0.0996059i | −0.992329 | − | 0.123623i | \(-0.960549\pi\) |
0.974766 | + | 0.223229i | \(0.0716598\pi\) | |||||||
\(152\) | −3.19716 | − | 5.53765i | −0.259324 | − | 0.449163i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −9.10535 | + | 15.7709i | −0.733730 | + | 1.27086i | ||||
\(155\) | 1.34248 | + | 1.12647i | 0.107830 | + | 0.0904803i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.613523 | − | 3.47946i | −0.0489645 | − | 0.277691i | 0.950489 | − | 0.310759i | \(-0.100583\pi\) |
−0.999453 | + | 0.0330680i | \(0.989472\pi\) | |||||||
\(158\) | −5.63067 | + | 4.72469i | −0.447952 | + | 0.375876i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −4.29206 | + | 1.56218i | −0.339317 | + | 0.123501i | ||||
\(161\) | 4.48345 | 0.353346 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 15.9509 | 1.24937 | 0.624685 | − | 0.780877i | \(-0.285228\pi\) | ||||
0.624685 | + | 0.780877i | \(0.285228\pi\) | |||||||
\(164\) | 2.23853 | − | 0.814759i | 0.174800 | − | 0.0636220i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −6.96989 | + | 5.84843i | −0.540968 | + | 0.453926i | ||||
\(167\) | −2.51523 | − | 14.2646i | −0.194635 | − | 1.10383i | −0.912938 | − | 0.408098i | \(-0.866192\pi\) |
0.718304 | − | 0.695730i | \(-0.244919\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 26.2600 | + | 22.0348i | 2.02000 | + | 1.69498i | ||||
\(170\) | 1.29362 | − | 2.24061i | 0.0992161 | − | 0.171847i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −2.41755 | − | 4.18731i | −0.184336 | − | 0.319280i | ||||
\(173\) | −2.19099 | + | 12.4257i | −0.166578 | + | 0.944709i | 0.780845 | + | 0.624725i | \(0.214789\pi\) |
−0.947423 | + | 0.319984i | \(0.896322\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 5.70026 | + | 2.07473i | 0.430900 | + | 0.156835i | ||||
\(176\) | −18.4952 | − | 6.73168i | −1.39412 | − | 0.507420i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.24557 | + | 7.06396i | −0.0933591 | + | 0.529466i | ||||
\(179\) | 0.147949 | + | 0.256256i | 0.0110582 | + | 0.0191534i | 0.871502 | − | 0.490393i | \(-0.163147\pi\) |
−0.860443 | + | 0.509546i | \(0.829813\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.710251 | + | 1.23019i | −0.0527925 | + | 0.0914393i | −0.891214 | − | 0.453583i | \(-0.850146\pi\) |
0.838421 | + | 0.545022i | \(0.183479\pi\) | |||||||
\(182\) | −23.1070 | − | 19.3891i | −1.71280 | − | 1.43721i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.667044 | + | 3.78299i | 0.0491751 | + | 0.278886i | ||||
\(185\) | −1.68228 | + | 1.41160i | −0.123684 | + | 0.103783i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.80940 | − | 1.38651i | 0.278571 | − | 0.101392i | ||||
\(188\) | 6.14087 | 0.447869 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −7.11431 | −0.516126 | ||||||||
\(191\) | 19.3803 | − | 7.05385i | 1.40231 | − | 0.510399i | 0.473446 | − | 0.880823i | \(-0.343010\pi\) |
0.928863 | + | 0.370424i | \(0.120788\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −16.0532 | + | 13.4702i | −1.15553 | + | 0.969608i | −0.999834 | − | 0.0181970i | \(-0.994207\pi\) |
−0.155699 | + | 0.987805i | \(0.549763\pi\) | |||||||
\(194\) | −2.35042 | − | 13.3299i | −0.168750 | − | 0.957029i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.272670 | + | 0.228797i | 0.0194764 | + | 0.0163426i | ||||
\(197\) | −4.79810 | + | 8.31056i | −0.341851 | + | 0.592103i | −0.984776 | − | 0.173826i | \(-0.944387\pi\) |
0.642926 | + | 0.765929i | \(0.277720\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.34583 | + | 9.25925i | 0.378956 | + | 0.656371i | 0.990911 | − | 0.134522i | \(-0.0429498\pi\) |
−0.611955 | + | 0.790893i | \(0.709616\pi\) | |||||||
\(200\) | −0.902507 | + | 5.11837i | −0.0638169 | + | 0.361924i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −11.5775 | − | 4.21388i | −0.814592 | − | 0.296487i | ||||
\(203\) | 21.4885 | + | 7.82118i | 1.50820 | + | 0.548939i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.41310 | + | 8.01406i | −0.0986948 | + | 0.559726i | ||||
\(206\) | −1.70953 | − | 2.96099i | −0.119108 | − | 0.206302i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 16.3006 | − | 28.2335i | 1.13025 | − | 1.95764i | ||||
\(209\) | −8.53927 | − | 7.16530i | −0.590674 | − | 0.495634i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.61345 | − | 14.8216i | −0.179917 | − | 1.02036i | −0.932314 | − | 0.361650i | \(-0.882213\pi\) |
0.752397 | − | 0.658710i | \(-0.228898\pi\) | |||||||
\(212\) | 2.76385 | − | 2.31915i | 0.189822 | − | 0.159280i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 18.6662 | − | 6.79394i | 1.27599 | − | 0.464424i | ||||
\(215\) | 16.5169 | 1.12644 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 2.90176 | 0.196984 | ||||||||
\(218\) | −18.1160 | + | 6.59368i | −1.22697 | + | 0.446580i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −2.62273 | + | 2.20073i | −0.176824 | + | 0.148373i | ||||
\(221\) | 1.16601 | + | 6.61280i | 0.0784346 | + | 0.444825i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −9.41324 | − | 7.89864i | −0.630357 | − | 0.528932i | 0.270683 | − | 0.962669i | \(-0.412751\pi\) |
−0.901040 | + | 0.433736i | \(0.857195\pi\) | |||||||
\(224\) | −3.78146 | + | 6.54968i | −0.252659 | + | 0.437619i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.355798 | + | 0.616261i | 0.0236674 | + | 0.0409931i | ||||
\(227\) | −0.651625 | + | 3.69555i | −0.0432499 | + | 0.245282i | −0.998766 | − | 0.0496553i | \(-0.984188\pi\) |
0.955517 | + | 0.294938i | \(0.0952988\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 17.4806 | + | 6.36240i | 1.15515 | + | 0.420439i | 0.847362 | − | 0.531016i | \(-0.178190\pi\) |
0.307786 | + | 0.951456i | \(0.400412\pi\) | |||||||
\(230\) | 4.01613 | + | 1.46175i | 0.264816 | + | 0.0963850i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.40222 | + | 19.2949i | −0.223366 | + | 1.26677i | ||||
\(233\) | 0.272892 | + | 0.472663i | 0.0178777 | + | 0.0309652i | 0.874826 | − | 0.484438i | \(-0.160976\pi\) |
−0.856948 | + | 0.515403i | \(0.827642\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −10.4887 | + | 18.1670i | −0.684210 | + | 1.18509i | ||||
\(236\) | 3.40716 | + | 2.85894i | 0.221787 | + | 0.186101i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.743903 | − | 4.21888i | −0.0482200 | − | 0.273469i | ||||
\(239\) | 15.3935 | − | 12.9167i | 0.995721 | − | 0.835509i | 0.00933493 | − | 0.999956i | \(-0.497029\pi\) |
0.986386 | + | 0.164448i | \(0.0525841\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −14.3691 | + | 5.22993i | −0.925597 | + | 0.336890i | −0.760463 | − | 0.649382i | \(-0.775028\pi\) |
−0.165134 | + | 0.986271i | \(0.552806\pi\) | |||||||
\(242\) | −9.83763 | −0.632387 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.631762 | −0.0404444 | ||||||||
\(245\) | −1.14259 | + | 0.415871i | −0.0729977 | + | 0.0265690i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 14.1444 | − | 11.8685i | 0.899985 | − | 0.755177i | ||||
\(248\) | 0.431721 | + | 2.44841i | 0.0274143 | + | 0.155474i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 14.5773 | + | 12.2318i | 0.921951 | + | 0.773609i | ||||
\(251\) | 6.37816 | − | 11.0473i | 0.402586 | − | 0.697299i | −0.591451 | − | 0.806341i | \(-0.701445\pi\) |
0.994037 | + | 0.109042i | \(0.0347782\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.34831 | + | 5.79945i | 0.210507 | + | 0.364608i | ||||
\(254\) | 0.145559 | − | 0.825506i | 0.00913319 | − | 0.0517969i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −10.4674 | − | 3.80981i | −0.654210 | − | 0.238113i | ||||
\(257\) | −12.3144 | − | 4.48207i | −0.768151 | − | 0.279584i | −0.0719281 | − | 0.997410i | \(-0.522915\pi\) |
−0.696223 | + | 0.717826i | \(0.745137\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.631430 | + | 3.58102i | −0.0392351 | + | 0.222513i | ||||
\(260\) | −2.83551 | − | 4.91125i | −0.175851 | − | 0.304583i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −9.00956 | + | 15.6050i | −0.556613 | + | 0.964081i | ||||
\(263\) | 7.28828 | + | 6.11559i | 0.449415 | + | 0.377104i | 0.839219 | − | 0.543794i | \(-0.183013\pi\) |
−0.389804 | + | 0.920898i | \(0.627457\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.14020 | + | 12.1377i | 0.131472 | + | 0.745613i | ||||
\(266\) | −9.02393 | + | 7.57198i | −0.553293 | + | 0.464268i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 2.14532 | − | 0.780834i | 0.131046 | − | 0.0476970i | ||||
\(269\) | −22.1408 | −1.34995 | −0.674973 | − | 0.737842i | \(-0.735845\pi\) | ||||
−0.674973 | + | 0.737842i | \(0.735845\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 27.9627 | 1.69861 | 0.849307 | − | 0.527899i | \(-0.177020\pi\) | ||||
0.849307 | + | 0.527899i | \(0.177020\pi\) | |||||||
\(272\) | 4.35088 | − | 1.58359i | 0.263811 | − | 0.0960193i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 5.11369 | − | 4.29090i | 0.308930 | − | 0.259223i | ||||
\(275\) | 1.57334 | + | 8.92286i | 0.0948760 | + | 0.538069i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −14.4657 | − | 12.1382i | −0.869162 | − | 0.729313i | 0.0947596 | − | 0.995500i | \(-0.469792\pi\) |
−0.963921 | + | 0.266187i | \(0.914236\pi\) | |||||||
\(278\) | −8.80397 | + | 15.2489i | −0.528027 | + | 0.914569i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −5.55431 | − | 9.62034i | −0.331933 | − | 0.574925i | ||||
\(281\) | 3.47327 | − | 19.6979i | 0.207198 | − | 1.17508i | −0.686746 | − | 0.726897i | \(-0.740962\pi\) |
0.893944 | − | 0.448179i | \(-0.147927\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −15.7352 | − | 5.72714i | −0.935360 | − | 0.340443i | −0.171028 | − | 0.985266i | \(-0.554709\pi\) |
−0.764332 | + | 0.644823i | \(0.776931\pi\) | |||||||
\(284\) | −2.59663 | − | 0.945097i | −0.154082 | − | 0.0560812i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 7.82354 | − | 44.3695i | 0.462615 | − | 2.62362i | ||||
\(287\) | 6.73722 | + | 11.6692i | 0.397685 | + | 0.688811i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.02317 | − | 13.8965i | 0.471951 | − | 0.817444i | ||||
\(290\) | 16.6987 | + | 14.0119i | 0.980583 | + | 0.822807i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.389199 | − | 2.20726i | −0.0227762 | − | 0.129170i | ||||
\(293\) | −14.9930 | + | 12.5806i | −0.875902 | + | 0.734969i | −0.965332 | − | 0.261024i | \(-0.915940\pi\) |
0.0894304 | + | 0.995993i | \(0.471495\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −14.2774 | + | 5.19653i | −0.831260 | + | 0.302554i | ||||
\(296\) | −3.11549 | −0.181084 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −30.7437 | −1.78093 | ||||||||
\(299\) | −10.4233 | + | 3.79377i | −0.602794 | + | 0.219399i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 20.9504 | − | 17.5794i | 1.20756 | − | 1.01326i | ||||
\(302\) | 0.340652 | + | 1.93193i | 0.0196023 | + | 0.111170i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −9.75306 | − | 8.18379i | −0.559377 | − | 0.469373i | ||||
\(305\) | 1.07906 | − | 1.86899i | 0.0617870 | − | 0.107018i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −7.44973 | − | 12.9033i | −0.425179 | − | 0.736431i | 0.571258 | − | 0.820770i | \(-0.306455\pi\) |
−0.996437 | + | 0.0843392i | \(0.973122\pi\) | |||||||
\(308\) | −0.984416 | + | 5.58290i | −0.0560923 | + | 0.318115i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.59930 | + | 0.946068i | 0.147630 | + | 0.0537331i | ||||
\(311\) | 4.31541 | + | 1.57068i | 0.244704 | + | 0.0890651i | 0.461461 | − | 0.887161i | \(-0.347326\pi\) |
−0.216756 | + | 0.976226i | \(0.569548\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.06098 | − | 11.6884i | 0.116493 | − | 0.660666i | −0.869507 | − | 0.493921i | \(-0.835563\pi\) |
0.986000 | − | 0.166745i | \(-0.0533257\pi\) | |||||||
\(314\) | −2.78836 | − | 4.82958i | −0.157356 | − | 0.272549i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.14408 | + | 1.98161i | −0.0643597 | + | 0.111474i | ||||
\(317\) | 11.1209 | + | 9.33157i | 0.624614 | + | 0.524113i | 0.899250 | − | 0.437435i | \(-0.144113\pi\) |
−0.274636 | + | 0.961548i | \(0.588557\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 5.93108 | + | 33.6368i | 0.332077 | + | 1.88330i | ||||
\(320\) | 6.67009 | − | 5.59687i | 0.372869 | − | 0.312874i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 6.64992 | − | 2.42037i | 0.370586 | − | 0.134882i | ||||
\(323\) | 2.62232 | 0.145910 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −15.0077 | −0.832480 | ||||||||
\(326\) | 23.6586 | − | 8.61102i | 1.31033 | − | 0.476920i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −8.84373 | + | 7.42077i | −0.488314 | + | 0.409744i | ||||
\(329\) | 6.03161 | + | 34.2069i | 0.332533 | + | 1.88589i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −6.20933 | − | 5.21024i | −0.341296 | − | 0.286381i | 0.455988 | − | 0.889986i | \(-0.349286\pi\) |
−0.797284 | + | 0.603605i | \(0.793730\pi\) | |||||||
\(332\) | −1.41620 | + | 2.45292i | −0.0777238 | + | 0.134622i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −11.4313 | − | 19.7996i | −0.625494 | − | 1.08339i | ||||
\(335\) | −1.35426 | + | 7.68037i | −0.0739909 | + | 0.419623i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 17.6737 | + | 6.43270i | 0.962748 | + | 0.350412i | 0.775110 | − | 0.631827i | \(-0.217695\pi\) |
0.187638 | + | 0.982238i | \(0.439917\pi\) | |||||||
\(338\) | 50.8446 | + | 18.5059i | 2.76558 | + | 1.00659i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.139858 | − | 0.793176i | 0.00758488 | − | 0.0430160i | ||||
\(341\) | 2.16708 | + | 3.75350i | 0.117354 | + | 0.203263i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 8.72082 | − | 15.1049i | 0.470880 | − | 0.815588i | ||||
\(344\) | 17.9499 | + | 15.0618i | 0.967796 | + | 0.812077i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 3.45826 | + | 19.6128i | 0.185917 | + | 1.05439i | ||||
\(347\) | 13.4959 | − | 11.3244i | 0.724497 | − | 0.607925i | −0.204128 | − | 0.978944i | \(-0.565436\pi\) |
0.928625 | + | 0.371019i | \(0.120991\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 15.9647 | − | 5.81068i | 0.854572 | − | 0.311039i | 0.122669 | − | 0.992448i | \(-0.460855\pi\) |
0.731903 | + | 0.681409i | \(0.238633\pi\) | |||||||
\(350\) | 9.57475 | 0.511792 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −11.2962 | −0.602090 | ||||||||
\(353\) | −14.2416 | + | 5.18352i | −0.758004 | + | 0.275891i | −0.691970 | − | 0.721926i | \(-0.743257\pi\) |
−0.0660343 | + | 0.997817i | \(0.521035\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 7.23106 | − | 6.06758i | 0.383785 | − | 0.322034i | ||||
\(356\) | 0.387747 | + | 2.19902i | 0.0205505 | + | 0.116548i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0.357779 | + | 0.300212i | 0.0189092 | + | 0.0158667i | ||||
\(359\) | 1.22548 | − | 2.12259i | 0.0646783 | − | 0.112026i | −0.831873 | − | 0.554966i | \(-0.812731\pi\) |
0.896551 | + | 0.442940i | \(0.146065\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 5.89461 | + | 10.2098i | 0.310243 | + | 0.537356i | ||||
\(362\) | −0.389341 | + | 2.20806i | −0.0204633 | + | 0.116053i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −8.82382 | − | 3.21161i | −0.462494 | − | 0.168334i | ||||
\(365\) | 7.19468 | + | 2.61865i | 0.376587 | + | 0.137066i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −0.228093 | + | 1.29358i | −0.0119063 | + | 0.0675242i | −0.990182 | − | 0.139784i | \(-0.955359\pi\) |
0.978276 | + | 0.207308i | \(0.0664703\pi\) | |||||||
\(368\) | 3.82425 | + | 6.62379i | 0.199353 | + | 0.345289i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −1.73314 | + | 3.00189i | −0.0901017 | + | 0.156061i | ||||
\(371\) | 15.6332 | + | 13.1178i | 0.811636 | + | 0.681043i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −1.67157 | − | 9.47993i | −0.0865505 | − | 0.490852i | −0.997011 | − | 0.0772566i | \(-0.975384\pi\) |
0.910461 | − | 0.413595i | \(-0.135727\pi\) | |||||||
\(374\) | 4.90166 | − | 4.11298i | 0.253459 | − | 0.212677i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −27.9653 | + | 10.1785i | −1.44220 | + | 0.524918i | ||||
\(377\) | −56.5753 | −2.91377 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −8.56311 | −0.439857 | −0.219929 | − | 0.975516i | \(-0.570582\pi\) | ||||
−0.219929 | + | 0.975516i | \(0.570582\pi\) | |||||||
\(380\) | −2.08113 | + | 0.757470i | −0.106760 | + | 0.0388574i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 24.9372 | − | 20.9248i | 1.27590 | − | 1.07060i | ||||
\(383\) | −5.84059 | − | 33.1236i | −0.298440 | − | 1.69254i | −0.652881 | − | 0.757460i | \(-0.726440\pi\) |
0.354441 | − | 0.935078i | \(-0.384671\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −14.8349 | − | 12.4480i | −0.756059 | − | 0.634409i | ||||
\(386\) | −16.5385 | + | 28.6455i | −0.841786 | + | 1.45802i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −2.10681 | − | 3.64911i | −0.106957 | − | 0.185255i | ||||
\(389\) | 2.59673 | − | 14.7268i | 0.131660 | − | 0.746678i | −0.845468 | − | 0.534026i | \(-0.820679\pi\) |
0.977128 | − | 0.212653i | \(-0.0682103\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.48034 | − | 0.538799i | −0.0748639 | − | 0.0272482i | ||||
\(392\) | −1.62096 | − | 0.589982i | −0.0818709 | − | 0.0297986i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −2.63020 | + | 14.9166i | −0.132507 | + | 0.751487i | ||||
\(395\) | −3.90824 | − | 6.76927i | −0.196645 | − | 0.340599i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 8.38938 | − | 14.5308i | 0.421051 | − | 0.729282i | −0.574991 | − | 0.818159i | \(-0.694995\pi\) |
0.996043 | + | 0.0888774i | \(0.0283279\pi\) | |||||||
\(398\) | 12.9276 | + | 10.8475i | 0.648001 | + | 0.543738i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.79698 | + | 10.1912i | 0.0898489 | + | 0.509559i | ||||
\(401\) | −10.0553 | + | 8.43742i | −0.502139 | + | 0.421345i | −0.858353 | − | 0.513060i | \(-0.828512\pi\) |
0.356214 | + | 0.934404i | \(0.384067\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −6.74612 | + | 2.45539i | −0.336048 | + | 0.122311i | ||||
\(404\) | −3.83541 | −0.190819 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 36.0943 | 1.79133 | ||||||||
\(407\) | −5.10369 | + | 1.85759i | −0.252980 | + | 0.0920773i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 19.4962 | − | 16.3593i | 0.964026 | − | 0.808914i | −0.0175773 | − | 0.999846i | \(-0.505595\pi\) |
0.981603 | + | 0.190932i | \(0.0611509\pi\) | |||||||
\(410\) | 2.23044 | + | 12.6494i | 0.110153 | + | 0.624711i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.815345 | − | 0.684156i | −0.0401692 | − | 0.0337059i | ||||
\(413\) | −12.5789 | + | 21.7872i | −0.618965 | + | 1.07208i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.83779 | − | 8.37929i | −0.237478 | − | 0.411323i | ||||
\(416\) | 3.24912 | − | 18.4267i | 0.159301 | − | 0.903442i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −16.5337 | − | 6.01779i | −0.808692 | − | 0.294340i | ||||
\(419\) | −11.9060 | − | 4.33341i | −0.581644 | − | 0.211701i | 0.0344063 | − | 0.999408i | \(-0.489046\pi\) |
−0.616050 | + | 0.787707i | \(0.711268\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.06962 | + | 17.4087i | −0.149604 | + | 0.848447i | 0.813950 | + | 0.580935i | \(0.197313\pi\) |
−0.963554 | + | 0.267513i | \(0.913798\pi\) | |||||||
\(422\) | −11.8777 | − | 20.5727i | −0.578196 | − | 1.00147i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −8.74249 | + | 15.1424i | −0.424573 | + | 0.735382i | ||||
\(425\) | −1.63277 | − | 1.37006i | −0.0792011 | − | 0.0664576i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.620521 | − | 3.51915i | −0.0300291 | − | 0.170304i | ||||
\(428\) | 4.73702 | − | 3.97483i | 0.228972 | − | 0.192131i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 24.4981 | − | 8.91658i | 1.18140 | − | 0.429996i | ||||
\(431\) | −15.6974 | −0.756117 | −0.378059 | − | 0.925782i | \(-0.623408\pi\) | ||||
−0.378059 | + | 0.925782i | \(0.623408\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −12.6258 | −0.606759 | −0.303380 | − | 0.952870i | \(-0.598115\pi\) | ||||
−0.303380 | + | 0.952870i | \(0.598115\pi\) | |||||||
\(434\) | 4.30394 | − | 1.56651i | 0.206596 | − | 0.0751947i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −4.59739 | + | 3.85767i | −0.220175 | + | 0.184749i | ||||
\(437\) | 0.752214 | + | 4.26602i | 0.0359833 | + | 0.204071i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 20.6349 | + | 17.3147i | 0.984849 | + | 0.826386i | 0.984814 | − | 0.173614i | \(-0.0555444\pi\) |
3.49262e−5 | 1.00000i | \(0.499989\pi\) | ||||||||
\(440\) | 8.29608 | − | 14.3692i | 0.395500 | − | 0.685027i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 5.29934 | + | 9.17873i | 0.252064 | + | 0.436588i | ||||
\(443\) | −6.03044 | + | 34.2003i | −0.286515 | + | 1.62491i | 0.413310 | + | 0.910591i | \(0.364373\pi\) |
−0.699824 | + | 0.714315i | \(0.746738\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −7.16783 | − | 2.60888i | −0.339788 | − | 0.123673i | ||||
\(446\) | −18.2259 | − | 6.63369i | −0.863022 | − | 0.314114i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.50355 | − | 14.1984i | 0.118282 | − | 0.670810i | ||||
\(449\) | −10.3731 | − | 17.9667i | −0.489535 | − | 0.847900i | 0.510392 | − | 0.859942i | \(-0.329500\pi\) |
−0.999927 | + | 0.0120419i | \(0.996167\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −10.0629 | + | 17.4295i | −0.473844 | + | 0.820722i | ||||
\(452\) | 0.169695 | + | 0.142391i | 0.00798179 | + | 0.00669752i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 1.02853 | + | 5.83307i | 0.0482712 | + | 0.273760i | ||||
\(455\) | 24.5725 | − | 20.6187i | 1.15197 | − | 0.966621i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 6.77305 | − | 2.46519i | 0.316830 | − | 0.115317i | −0.178710 | − | 0.983902i | \(-0.557192\pi\) |
0.495540 | + | 0.868585i | \(0.334970\pi\) | |||||||
\(458\) | 29.3621 | 1.37200 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 1.33046 | 0.0620332 | ||||||||
\(461\) | 21.7321 | − | 7.90984i | 1.01217 | − | 0.368398i | 0.217902 | − | 0.975971i | \(-0.430079\pi\) |
0.794264 | + | 0.607573i | \(0.207857\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.81172 | − | 3.19841i | 0.177145 | − | 0.148643i | −0.549904 | − | 0.835228i | \(-0.685336\pi\) |
0.727049 | + | 0.686585i | \(0.240891\pi\) | |||||||
\(464\) | 6.77414 | + | 38.4180i | 0.314481 | + | 1.78351i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.659922 | + | 0.553741i | 0.0305703 | + | 0.0256515i | ||||
\(467\) | −6.24068 | + | 10.8092i | −0.288784 | + | 0.500189i | −0.973520 | − | 0.228602i | \(-0.926584\pi\) |
0.684735 | + | 0.728792i | \(0.259918\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 6.45669 | + | 11.1833i | 0.298142 | + | 0.516397i | ||||
\(470\) | −5.74966 | + | 32.6079i | −0.265212 | + | 1.50409i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −20.2548 | − | 7.37215i | −0.932303 | − | 0.339331i | ||||
\(473\) | 38.3855 | + | 13.9712i | 1.76497 | + | 0.642395i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.01774 | + | 5.77190i | −0.0466972 | + | 0.264833i | ||||
\(476\) | −0.666803 | − | 1.15494i | −0.0305628 | − | 0.0529364i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 15.8588 | − | 27.4683i | 0.725365 | − | 1.25637i | ||||
\(479\) | −21.8103 | − | 18.3010i | −0.996536 | − | 0.836193i | −0.0100353 | − | 0.999950i | \(-0.503194\pi\) |
−0.986501 | + | 0.163757i | \(0.947639\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.56218 | − | 8.85956i | −0.0712293 | − | 0.403961i | ||||
\(482\) | −18.4891 | + | 15.5142i | −0.842157 | + | 0.706654i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −2.87778 | + | 1.04743i | −0.130808 | + | 0.0476103i | ||||
\(485\) | 14.3939 | 0.653595 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 29.6841 | 1.34511 | 0.672557 | − | 0.740045i | \(-0.265196\pi\) | ||||
0.672557 | + | 0.740045i | \(0.265196\pi\) | |||||||
\(488\) | 2.87702 | − | 1.04715i | 0.130237 | − | 0.0474023i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.47021 | + | 1.23365i | −0.0664172 | + | 0.0557307i | ||||
\(491\) | −2.15410 | − | 12.2165i | −0.0972131 | − | 0.551323i | −0.994047 | − | 0.108955i | \(-0.965250\pi\) |
0.896834 | − | 0.442368i | \(-0.145861\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −6.15512 | − | 5.16476i | −0.277213 | − | 0.232609i | ||||
\(494\) | 14.5720 | − | 25.2394i | 0.655623 | − | 1.13557i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.47512 | + | 4.28702i | 0.111136 | + | 0.192493i | ||||
\(497\) | 2.71411 | − | 15.3925i | 0.121745 | − | 0.690448i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 2.14233 | + | 0.779745i | 0.0959040 | + | 0.0349062i | 0.389527 | − | 0.921015i | \(-0.372639\pi\) |
−0.293623 | + | 0.955921i | \(0.594861\pi\) | |||||||
\(500\) | 5.56662 | + | 2.02608i | 0.248947 | + | 0.0906092i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 3.49634 | − | 19.8287i | 0.156049 | − | 0.885000i | ||||
\(503\) | 20.6406 | + | 35.7506i | 0.920320 | + | 1.59404i | 0.798920 | + | 0.601437i | \(0.205405\pi\) |
0.121399 | + | 0.992604i | \(0.461262\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.55097 | − | 11.3466i | 0.291514 | − | 0.504917i | ||||
\(506\) | 8.09708 | + | 6.79425i | 0.359959 | + | 0.302041i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.0453128 | − | 0.256982i | −0.00201043 | − | 0.0114017i | ||||
\(509\) | −12.5816 | + | 10.5572i | −0.557671 | + | 0.467941i | −0.877529 | − | 0.479524i | \(-0.840809\pi\) |
0.319858 | + | 0.947466i | \(0.396365\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 11.9130 | − | 4.33597i | 0.527000 | − | 0.191812i | ||||
\(512\) | 9.67844 | 0.427731 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −20.6845 | −0.912355 | ||||||||
\(515\) | 3.41662 | − | 1.24355i | 0.150554 | − | 0.0547973i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −39.7429 | + | 33.3483i | −1.74789 | + | 1.46666i | ||||
\(518\) | 0.996651 | + | 5.65229i | 0.0437903 | + | 0.248347i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 21.0533 | + | 17.6658i | 0.923248 | + | 0.774697i | ||||
\(521\) | −4.64836 | + | 8.05119i | −0.203648 | + | 0.352729i | −0.949701 | − | 0.313157i | \(-0.898613\pi\) |
0.746053 | + | 0.665887i | \(0.231947\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 11.3736 | + | 19.6996i | 0.497331 | + | 0.861402i | 0.999995 | − | 0.00307938i | \(-0.000980199\pi\) |
−0.502664 | + | 0.864482i | \(0.667647\pi\) | |||||||
\(524\) | −0.974059 | + | 5.52416i | −0.0425520 | + | 0.241324i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 14.1116 | + | 5.13619i | 0.615293 | + | 0.223949i | ||||
\(527\) | −0.958098 | − | 0.348719i | −0.0417354 | − | 0.0151905i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.54202 | + | 20.0878i | −0.154001 | + | 0.873382i | ||||
\(530\) | 9.72687 | + | 16.8474i | 0.422508 | + | 0.731806i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −1.83355 | + | 3.17581i | −0.0794946 | + | 0.137689i | ||||
\(533\) | −25.5370 | − | 21.4281i | −1.10613 | − | 0.928155i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3.66813 | + | 20.8030i | 0.158587 | + | 0.899393i | ||||
\(536\) | −8.47549 | + | 7.11178i | −0.366086 | + | 0.307182i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −32.8395 | + | 11.9526i | −1.41581 | + | 0.515314i | ||||
\(539\) | −3.00718 | −0.129528 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 2.38959 | 0.102737 | 0.0513683 | − | 0.998680i | \(-0.483642\pi\) | ||||
0.0513683 | + | 0.998680i | \(0.483642\pi\) | |||||||
\(542\) | 41.4747 | − | 15.0956i | 1.78149 | − | 0.648410i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.03566 | − | 1.70812i | 0.0872783 | − | 0.0732352i | ||||
\(545\) | −3.56001 | − | 20.1898i | −0.152494 | − | 0.864837i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 22.7261 | + | 19.0694i | 0.971697 | + | 0.815350i | 0.982816 | − | 0.184588i | \(-0.0590950\pi\) |
−0.0111192 | + | 0.999938i | \(0.503539\pi\) | |||||||
\(548\) | 1.03904 | − | 1.79967i | 0.0443856 | − | 0.0768781i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 7.15057 | + | 12.3852i | 0.304901 | + | 0.528105i | ||||
\(551\) | −3.83662 | + | 21.7586i | −0.163446 | + | 0.926946i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −12.1620 | − | 4.42662i | −0.517182 | − | 0.188239i | ||||
\(554\) | −28.0085 | − | 10.1943i | −1.18997 | − | 0.433113i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −0.951832 | + | 5.39811i | −0.0403667 | + | 0.228931i | ||||
\(557\) | 4.20706 | + | 7.28685i | 0.178259 | + | 0.308754i | 0.941284 | − | 0.337615i | \(-0.109620\pi\) |
−0.763025 | + | 0.646369i | \(0.776287\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −33.8309 | + | 58.5969i | −1.43090 | + | 2.47838i | ||||
\(560\) | −16.9436 | − | 14.2174i | −0.715998 | − | 0.600794i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −5.48222 | − | 31.0912i | −0.231253 | − | 1.31150i | ||||
\(563\) | 20.8567 | − | 17.5009i | 0.879006 | − | 0.737573i | −0.0869687 | − | 0.996211i | \(-0.527718\pi\) |
0.965974 | + | 0.258638i | \(0.0832736\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.711090 | + | 0.258816i | −0.0299158 | + | 0.0108885i | ||||
\(566\) | −26.4304 | −1.11095 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 13.3915 | 0.561894 | ||||||||
\(569\) | −20.6256 | + | 7.50711i | −0.864670 | + | 0.314714i | −0.736007 | − | 0.676974i | \(-0.763291\pi\) |
−0.128664 | + | 0.991688i | \(0.541069\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −34.3597 | + | 28.8313i | −1.43791 | + | 1.20655i | −0.497066 | + | 0.867713i | \(0.665589\pi\) |
−0.940845 | + | 0.338837i | \(0.889966\pi\) | |||||||
\(572\) | −2.43548 | − | 13.8123i | −0.101833 | − | 0.577521i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 16.2923 | + | 13.6709i | 0.680028 | + | 0.570611i | ||||
\(575\) | 1.76046 | − | 3.04921i | 0.0734163 | − | 0.127161i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −6.00955 | − | 10.4088i | −0.250181 | − | 0.433326i | 0.713395 | − | 0.700762i | \(-0.247157\pi\) |
−0.963575 | + | 0.267437i | \(0.913823\pi\) | |||||||
\(578\) | 4.39810 | − | 24.9428i | 0.182937 | − | 1.03749i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 6.37671 | + | 2.32093i | 0.264778 | + | 0.0963715i | ||||
\(581\) | −15.0547 | − | 5.47946i | −0.624574 | − | 0.227326i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −5.29307 | + | 30.0185i | −0.219217 | + | 1.24324i | ||||
\(584\) | 5.43095 | + | 9.40669i | 0.224734 | + | 0.389252i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −15.4463 | + | 26.7537i | −0.638079 | + | 1.10519i | ||||
\(587\) | 13.0456 | + | 10.9466i | 0.538451 | + | 0.451814i | 0.871008 | − | 0.491269i | \(-0.163467\pi\) |
−0.332557 | + | 0.943083i | \(0.607911\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.486845 | + | 2.76103i | 0.0200601 | + | 0.113766i | ||||
\(590\) | −18.3711 | + | 15.4151i | −0.756324 | + | 0.634631i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −5.82913 | + | 2.12163i | −0.239576 | + | 0.0871985i | ||||
\(593\) | 14.9284 | 0.613037 | 0.306519 | − | 0.951865i | \(-0.400836\pi\) | ||||
0.306519 | + | 0.951865i | \(0.400836\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 4.55566 | 0.186764 | ||||||||
\(596\) | −8.99338 | + | 3.27332i | −0.368383 | + | 0.134081i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −13.4119 | + | 11.2539i | −0.548454 | + | 0.460208i | ||||
\(599\) | −2.35029 | − | 13.3292i | −0.0960304 | − | 0.544615i | −0.994427 | − | 0.105430i | \(-0.966378\pi\) |
0.898396 | − | 0.439186i | \(-0.144733\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −34.7150 | − | 29.1294i | −1.41606 | − | 1.18821i | −0.953413 | − | 0.301667i | \(-0.902457\pi\) |
−0.462642 | − | 0.886545i | \(-0.653099\pi\) | |||||||
\(602\) | 21.5837 | − | 37.3841i | 0.879686 | − | 1.52366i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.305346 | + | 0.528874i | 0.0124243 | + | 0.0215196i | ||||
\(605\) | 1.81663 | − | 10.3026i | 0.0738564 | − | 0.418861i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −22.9631 | − | 8.35787i | −0.932042 | − | 0.339236i | −0.169024 | − | 0.985612i | \(-0.554061\pi\) |
−0.763019 | + | 0.646376i | \(0.776284\pi\) | |||||||
\(608\) | −6.86647 | − | 2.49919i | −0.278472 | − | 0.101356i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.591515 | − | 3.35465i | 0.0239497 | − | 0.135826i | ||||
\(611\) | −42.9674 | − | 74.4217i | −1.73827 | − | 3.01078i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 12.5998 | − | 21.8235i | 0.508901 | − | 0.881443i | −0.491046 | − | 0.871134i | \(-0.663385\pi\) |
0.999947 | − | 0.0103088i | \(-0.00328145\pi\) | |||||||
\(614\) | −18.0154 | − | 15.1167i | −0.727041 | − | 0.610059i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −4.77071 | − | 27.0560i | −0.192217 | − | 1.09012i | ||||
\(617\) | −3.09624 | + | 2.59805i | −0.124650 | + | 0.104594i | −0.702982 | − | 0.711208i | \(-0.748148\pi\) |
0.578332 | + | 0.815802i | \(0.303704\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 42.0700 | − | 15.3122i | 1.69094 | − | 0.615451i | 0.696194 | − | 0.717853i | \(-0.254875\pi\) |
0.994743 | + | 0.102403i | \(0.0326530\pi\) | |||||||
\(620\) | 0.861097 | 0.0345825 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 7.24860 | 0.290642 | ||||||||
\(623\) | −11.8685 | + | 4.31979i | −0.475502 | + | 0.173069i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −7.14194 | + | 5.99280i | −0.285678 | + | 0.239712i | ||||
\(626\) | −3.25305 | − | 18.4490i | −0.130018 | − | 0.737369i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −1.32989 | − | 1.11591i | −0.0530682 | − | 0.0445295i | ||||
\(629\) | 0.638833 | − | 1.10649i | 0.0254719 | − | 0.0441187i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −15.7058 | − | 27.2033i | −0.625238 | − | 1.08294i | −0.988495 | − | 0.151255i | \(-0.951668\pi\) |
0.363256 | − | 0.931689i | \(-0.381665\pi\) | |||||||
\(632\) | 1.92558 | − | 10.9205i | 0.0765955 | − | 0.434395i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 21.5323 | + | 7.83713i | 0.855159 | + | 0.311252i | ||||
\(635\) | 0.837645 | + | 0.304878i | 0.0332409 | + | 0.0120987i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.864952 | − | 4.90539i | 0.0342707 | − | 0.194359i | ||||
\(638\) | 26.9558 | + | 46.6888i | 1.06719 | + | 1.84843i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 11.4392 | − | 19.8133i | 0.452176 | − | 0.783191i | ||||
\(641\) | −37.2609 | − | 31.2656i | −1.47172 | − | 1.23492i | −0.914524 | − | 0.404533i | \(-0.867434\pi\) |
−0.557192 | − | 0.830384i | \(-0.688121\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −4.86777 | − | 27.6065i | −0.191966 | − | 1.08869i | −0.916674 | − | 0.399637i | \(-0.869136\pi\) |
0.724708 | − | 0.689057i | \(-0.241975\pi\) | |||||||
\(644\) | 1.68759 | − | 1.41605i | 0.0665003 | − | 0.0558003i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 3.88947 | − | 1.41565i | 0.153029 | − | 0.0556980i | ||||
\(647\) | 37.5519 | 1.47632 | 0.738159 | − | 0.674627i | \(-0.235696\pi\) | ||||
0.738159 | + | 0.674627i | \(0.235696\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −37.5763 | −1.47500 | ||||||||
\(650\) | −22.2597 | + | 8.10187i | −0.873097 | + | 0.317781i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 6.00397 | − | 5.03793i | 0.235134 | − | 0.197300i | ||||
\(653\) | 0.887728 | + | 5.03455i | 0.0347395 | + | 0.197017i | 0.997238 | − | 0.0742686i | \(-0.0236622\pi\) |
−0.962499 | + | 0.271286i | \(0.912551\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −14.6789 | − | 12.3170i | −0.573551 | − | 0.481266i | ||||
\(656\) | −11.4933 | + | 19.9069i | −0.448737 | + | 0.777236i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 27.4126 | + | 47.4801i | 1.06866 | + | 1.85097i | ||||
\(659\) | −6.07871 | + | 34.4741i | −0.236793 | + | 1.34292i | 0.602012 | + | 0.798487i | \(0.294366\pi\) |
−0.838805 | + | 0.544433i | \(0.816745\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.25304 | − | 0.456071i | −0.0487378 | − | 0.0177391i | 0.317536 | − | 0.948246i | \(-0.397144\pi\) |
−0.366274 | + | 0.930507i | \(0.619367\pi\) | |||||||
\(662\) | −12.0225 | − | 4.37583i | −0.467268 | − | 0.170071i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 2.38357 | − | 13.5179i | 0.0925004 | − | 0.524596i | ||||
\(665\) | −6.26350 | − | 10.8487i | −0.242888 | − | 0.420694i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 6.63648 | − | 11.4947i | 0.256966 | − | 0.445077i | ||||
\(668\) | −5.45207 | − | 4.57483i | −0.210947 | − | 0.177006i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 2.13756 | + | 12.1227i | 0.0825813 | + | 0.468342i | ||||
\(671\) | 4.08869 | − | 3.43081i | 0.157842 | − | 0.132445i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 3.36366 | − | 1.22427i | 0.129659 | − | 0.0471922i | −0.276375 | − | 0.961050i | \(-0.589133\pi\) |
0.406035 | + | 0.913858i | \(0.366911\pi\) | |||||||
\(674\) | 29.6866 | 1.14348 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 16.8438 | 0.647839 | ||||||||
\(677\) | −34.7112 | + | 12.6338i | −1.33406 | + | 0.485558i | −0.907937 | − | 0.419107i | \(-0.862343\pi\) |
−0.426123 | + | 0.904665i | \(0.640121\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 18.2576 | − | 15.3199i | 0.700661 | − | 0.587925i | ||||
\(680\) | 0.677786 | + | 3.84391i | 0.0259919 | + | 0.147407i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 5.24056 | + | 4.39735i | 0.200671 | + | 0.168383i | ||||
\(683\) | 19.0083 | − | 32.9233i | 0.727332 | − | 1.25978i | −0.230675 | − | 0.973031i | \(-0.574093\pi\) |
0.958007 | − | 0.286745i | \(-0.0925733\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.54941 | + | 6.14775i | 0.135616 | + | 0.234894i | ||||
\(686\) | 4.78053 | − | 27.1117i | 0.182521 | − | 1.03513i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 43.8417 | + | 15.9571i | 1.67145 | + | 0.608357i | ||||
\(689\) | −47.4445 | − | 17.2684i | −1.80749 | − | 0.657873i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0.0955871 | − | 0.542101i | 0.00363630 | − | 0.0206225i | −0.982936 | − | 0.183950i | \(-0.941112\pi\) |
0.986572 | + | 0.163327i | \(0.0522227\pi\) | |||||||
\(692\) | 3.09984 | + | 5.36908i | 0.117838 | + | 0.204102i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 13.9039 | − | 24.0822i | 0.527784 | − | 0.914148i | ||||
\(695\) | −14.3439 | − | 12.0360i | −0.544095 | − | 0.456550i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.822135 | − | 4.66256i | −0.0311406 | − | 0.176607i | ||||
\(698\) | 20.5422 | − | 17.2370i | 0.777535 | − | 0.652429i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 2.80088 | − | 1.01944i | 0.105863 | − | 0.0385311i | ||||
\(701\) | −19.0242 | −0.718534 | −0.359267 | − | 0.933235i | \(-0.616973\pi\) | ||||
−0.359267 | + | 0.933235i | \(0.616973\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −3.51328 | −0.132506 | ||||||||
\(704\) | 20.2356 | − | 7.36515i | 0.762658 | − | 0.277585i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −18.3251 | + | 15.3765i | −0.689673 | + | 0.578704i | ||||
\(707\) | −3.76717 | − | 21.3647i | −0.141679 | − | 0.803501i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 9.31264 | + | 7.81423i | 0.349743 | + | 0.293470i | 0.800687 | − | 0.599083i | \(-0.204468\pi\) |
−0.450944 | + | 0.892552i | \(0.648912\pi\) | |||||||
\(710\) | 7.44966 | − | 12.9032i | 0.279581 | − | 0.484248i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −5.41068 | − | 9.37158i | −0.202774 | − | 0.351215i | ||||
\(713\) | 0.292469 | − | 1.65867i | 0.0109530 | − | 0.0621178i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 45.0219 | + | 16.3866i | 1.68372 | + | 0.612825i | ||||
\(716\) | 0.136624 | + | 0.0497272i | 0.00510589 | + | 0.00185839i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0.671776 | − | 3.80983i | 0.0250704 | − | 0.142182i | ||||
\(719\) | 4.88834 | + | 8.46685i | 0.182304 | + | 0.315760i | 0.942665 | − | 0.333741i | \(-0.108311\pi\) |
−0.760361 | + | 0.649501i | \(0.774978\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.01017 | − | 5.21376i | 0.112104 | − | 0.194171i | ||||
\(722\) | 14.2547 | + | 11.9611i | 0.530504 | + | 0.445146i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0.121203 | + | 0.687374i | 0.00450446 | + | 0.0255460i | ||||
\(725\) | 13.7568 | − | 11.5434i | 0.510916 | − | 0.428709i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −4.07350 | + | 1.48263i | −0.151078 | + | 0.0549878i | −0.416452 | − | 0.909158i | \(-0.636727\pi\) |
0.265374 | + | 0.964145i | \(0.414504\pi\) | |||||||
\(728\) | 45.5067 | 1.68659 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 12.0849 | 0.447283 | ||||||||
\(731\) | −9.02996 | + | 3.28664i | −0.333985 | + | 0.121561i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 22.3636 | − | 18.7653i | 0.826020 | − | 0.693113i | −0.128354 | − | 0.991728i | \(-0.540969\pi\) |
0.954374 | + | 0.298615i | \(0.0965248\pi\) | |||||||
\(734\) | 0.360022 | + | 2.04179i | 0.0132887 | + | 0.0753638i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 3.36272 | + | 2.82166i | 0.123952 | + | 0.104008i | ||||
\(737\) | −9.64391 | + | 16.7037i | −0.355238 | + | 0.615290i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −20.7777 | − | 35.9880i | −0.764319 | − | 1.32384i | −0.940606 | − | 0.339501i | \(-0.889742\pi\) |
0.176287 | − | 0.984339i | \(-0.443591\pi\) | |||||||
\(740\) | −0.187377 | + | 1.06267i | −0.00688810 | + | 0.0390644i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 30.2690 | + | 11.0170i | 1.11121 | + | 0.404447i | ||||
\(743\) | 20.0881 | + | 7.31149i | 0.736963 | + | 0.268232i | 0.683109 | − | 0.730316i | \(-0.260627\pi\) |
0.0538536 | + | 0.998549i | \(0.482850\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 5.67716 | − | 32.1968i | 0.207995 | − | 1.17960i | ||||
\(746\) | −7.59699 | − | 13.1584i | −0.278146 | − | 0.481763i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.995957 | − | 1.72505i | 0.0364158 | − | 0.0630740i | ||||
\(749\) | 26.7940 | + | 22.4829i | 0.979033 | + | 0.821506i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −6.94030 | − | 39.3604i | −0.253255 | − | 1.43628i | −0.800512 | − | 0.599317i | \(-0.795439\pi\) |
0.547256 | − | 0.836965i | \(-0.315672\pi\) | |||||||
\(752\) | −45.3921 | + | 38.0885i | −1.65528 | + | 1.38894i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −83.9132 | + | 30.5419i | −3.05594 | + | 1.11227i | ||||
\(755\) | −2.08615 | −0.0759228 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 6.68348 | 0.242915 | 0.121458 | − | 0.992597i | \(-0.461243\pi\) | ||||
0.121458 | + | 0.992597i | \(0.461243\pi\) | |||||||
\(758\) | −12.7009 | + | 4.62276i | −0.461319 | + | 0.167906i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 8.22190 | − | 6.89899i | 0.298240 | − | 0.250253i | ||||
\(761\) | −7.29757 | − | 41.3866i | −0.264537 | − | 1.50026i | −0.770351 | − | 0.637620i | \(-0.779919\pi\) |
0.505815 | − | 0.862642i | \(-0.331192\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −26.0043 | − | 21.8202i | −0.941417 | − | 0.789943i | ||||
\(764\) | 5.06692 | − | 8.77617i | 0.183315 | − | 0.317511i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −26.5445 | − | 45.9764i | −0.959092 | − | 1.66120i | ||||
\(767\) | 10.8081 | − | 61.2955i | 0.390256 | − | 2.21325i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −2.26770 | − | 0.825374i | −0.0817752 | − | 0.0297637i | 0.300809 | − | 0.953685i | \(-0.402743\pi\) |
−0.382584 | + | 0.923921i | \(0.624966\pi\) | |||||||
\(770\) | −28.7234 | − | 10.4545i | −1.03512 | − | 0.376753i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −1.78804 | + | 10.1405i | −0.0643529 | + | 0.364964i | ||||
\(773\) | 0.698900 | + | 1.21053i | 0.0251377 | + | 0.0435398i | 0.878321 | − | 0.478072i | \(-0.158664\pi\) |
−0.853183 | + | 0.521612i | \(0.825331\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.13940 | − | 1.97350i | 0.0409284 | − | 0.0708901i | ||||
\(776\) | 15.6428 | + | 13.1259i | 0.561544 | + | 0.471191i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −4.09869 | − | 23.2448i | −0.146945 | − | 0.833368i | ||||
\(779\) | −9.97293 | + | 8.36828i | −0.357317 | + | 0.299825i | ||||
\(780\) |