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 | 163.1 | ||
Root | \(1.22778i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.163 |
Dual form | 729.2.e.u.568.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
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 | −0.808206 | − | 0.588899i | \(-0.799561\pi\) |
−0.240585 | + | 0.970628i | \(0.577339\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.376403 | − | 0.315840i | 0.188202 | − | 0.157920i | ||||
\(5\) | −0.291470 | − | 1.65301i | −0.130349 | − | 0.739247i | −0.977986 | − | 0.208670i | \(-0.933086\pi\) |
0.847637 | − | 0.530577i | \(-0.178025\pi\) | |||||||
\(6\) | 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 | \(-0.729209\pi\) |
0.876790 | − | 0.480873i | \(-0.159680\pi\) | |||||||
\(12\) | 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 | 0.919143 | − | 0.393923i | \(-0.128882\pi\) |
−0.800719 | + | 0.599040i | \(0.795549\pi\) | |||||||
\(18\) | 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 | −0.762468 | − | 0.647026i | \(-0.776013\pi\) |
0.504795 | + | 0.863239i | \(0.331568\pi\) | |||||||
\(24\) | 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 | −0.938570 | − | 0.345090i | \(-0.887848\pi\) |
−0.497166 | + | 0.867655i | \(0.665626\pi\) | |||||||
\(30\) | 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 | −0.0391841 | − | 0.999232i | \(-0.512476\pi\) |
−0.672311 | + | 0.740269i | \(0.734698\pi\) | |||||||
\(42\) | 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 | \(-0.912712\pi\) |
−0.433846 | − | 0.900987i | \(-0.642844\pi\) | |||||||
\(48\) | 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 | \(-0.668251\pi\) | ||||
−0.504305 | + | 0.863525i | \(0.668251\pi\) | |||||||
\(54\) | 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 | \(-0.854988\pi\) |
0.693375 | − | 0.720577i | \(-0.256123\pi\) | |||||||
\(60\) | 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 | 0.983236 | − | 0.182339i | \(-0.0583670\pi\) |
−0.649528 | + | 0.760337i | \(0.725034\pi\) | |||||||
\(72\) | 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 | −0.0271703 | − | 0.999631i | \(-0.508650\pi\) |
0.621737 | + | 0.783226i | \(0.286427\pi\) | |||||||
\(84\) | 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 | −0.720104 | − | 0.693866i | \(-0.755906\pi\) |
0.960958 | + | 0.276695i | \(0.0892393\pi\) | |||||||
\(90\) | 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 | 0.889829 | − | 0.456294i | \(-0.150824\pi\) |
−0.294845 | + | 0.955545i | \(0.595268\pi\) | |||||||
\(102\) | 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 | \(-0.708155\pi\) | ||||
−0.608317 | + | 0.793695i | \(0.708155\pi\) | |||||||
\(108\) | 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 | 0.980904 | − | 0.194492i | \(-0.0623060\pi\) |
−0.988269 | + | 0.152726i | \(0.951195\pi\) | |||||||
\(114\) | 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 | −0.175112 | − | 0.984548i | \(-0.556029\pi\) |
0.939183 | + | 0.343417i | \(0.111584\pi\) | |||||||
\(132\) | 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 | −0.506161 | − | 0.862439i | \(-0.668936\pi\) |
0.166623 | + | 0.986021i | \(0.446714\pi\) | |||||||
\(138\) | 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 | 0.955917 | − | 0.293639i | \(-0.0948662\pi\) |
0.543527 | + | 0.839391i | \(0.317088\pi\) | |||||||
\(150\) | 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 | \(0.133808\pi\) |
−0.718304 | + | 0.695730i | \(0.755081\pi\) | |||||||
\(168\) | 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 | \(-0.785211\pi\) |
0.947423 | − | 0.319984i | \(-0.103678\pi\) | |||||||
\(174\) | 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 | 0.860443 | − | 0.509546i | \(-0.170187\pi\) |
−0.871502 | + | 0.490393i | \(0.836853\pi\) | |||||||
\(180\) | 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 | −0.928863 | − | 0.370424i | \(-0.879212\pi\) |
−0.473446 | + | 0.880823i | \(0.656990\pi\) | |||||||
\(192\) | 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 | −0.642926 | − | 0.765929i | \(-0.722280\pi\) |
0.984776 | + | 0.173826i | \(0.0556129\pi\) | |||||||
\(198\) | 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 | −0.955517 | − | 0.294938i | \(-0.904701\pi\) |
0.998766 | + | 0.0496553i | \(0.0158123\pi\) | |||||||
\(228\) | 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 | 0.856948 | − | 0.515403i | \(-0.172358\pi\) |
−0.874826 | + | 0.484438i | \(0.839024\pi\) | |||||||
\(234\) | 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 | −0.986386 | − | 0.164448i | \(-0.947416\pi\) |
−0.00933493 | + | 0.999956i | \(0.502971\pi\) | |||||||
\(240\) | 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 | −0.994037 | − | 0.109042i | \(-0.965222\pi\) |
0.591451 | + | 0.806341i | \(0.298555\pi\) | |||||||
\(252\) | 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 | 0.696223 | − | 0.717826i | \(-0.254863\pi\) |
0.0719281 | + | 0.997410i | \(0.477085\pi\) | |||||||
\(258\) | 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 | 0.389804 | − | 0.920898i | \(-0.372543\pi\) |
−0.839219 | + | 0.543794i | \(0.816987\pi\) | |||||||
\(264\) | 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 | \(-0.264155\pi\) | ||||
0.674973 | + | 0.737842i | \(0.264155\pi\) | |||||||
\(270\) | 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 | \(0.259038\pi\) |
−0.893944 | + | 0.448179i | \(0.852073\pi\) | |||||||
\(282\) | 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 | −0.0894304 | − | 0.995993i | \(-0.528505\pi\) |
0.965332 | + | 0.261024i | \(0.0840602\pi\) | |||||||
\(294\) | 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 | 0.216756 | − | 0.976226i | \(-0.430452\pi\) |
−0.461461 | + | 0.887161i | \(0.652674\pi\) | |||||||
\(312\) | 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 | 0.274636 | − | 0.961548i | \(-0.411443\pi\) |
−0.899250 | + | 0.437435i | \(0.855887\pi\) | |||||||
\(318\) | 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 | −0.928625 | − | 0.371019i | \(-0.879009\pi\) |
0.204128 | + | 0.978944i | \(0.434564\pi\) | |||||||
\(348\) | 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 | 0.0660343 | − | 0.997817i | \(-0.478965\pi\) |
0.691970 | + | 0.721926i | \(0.256743\pi\) | |||||||
\(354\) | 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 | −0.896551 | − | 0.442940i | \(-0.853935\pi\) |
0.831873 | + | 0.554966i | \(0.187269\pi\) | |||||||
\(360\) | 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 | \(0.273560\pi\) |
−0.354441 | + | 0.935078i | \(0.615329\pi\) | |||||||
\(384\) | 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 | \(0.179321\pi\) |
−0.977128 | + | 0.212653i | \(0.931790\pi\) | |||||||
\(390\) | 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 | −0.356214 | − | 0.934404i | \(-0.615933\pi\) |
0.858353 | + | 0.513060i | \(0.171488\pi\) | |||||||
\(402\) | 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 | 0.616050 | − | 0.787707i | \(-0.288732\pi\) |
−0.0344063 | + | 0.999408i | \(0.510954\pi\) | |||||||
\(420\) | 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 | \(-0.376592\pi\) | ||||
0.378059 | + | 0.925782i | \(0.376592\pi\) | |||||||
\(432\) | 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 | \(-0.635627\pi\) |
0.699824 | − | 0.714315i | \(-0.253262\pi\) | |||||||
\(444\) | 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 | 0.999927 | − | 0.0120419i | \(-0.00383314\pi\) |
−0.510392 | + | 0.859942i | \(0.670500\pi\) | |||||||
\(450\) | 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 | −0.794264 | − | 0.607573i | \(-0.792143\pi\) |
−0.217902 | + | 0.975971i | \(0.569921\pi\) | |||||||
\(462\) | 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 | −0.684735 | − | 0.728792i | \(-0.740082\pi\) |
0.973520 | + | 0.228602i | \(0.0734156\pi\) | |||||||
\(468\) | 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 | 0.986501 | − | 0.163757i | \(-0.0523612\pi\) |
0.0100353 | + | 0.999950i | \(0.496806\pi\) | |||||||
\(480\) | 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 | \(0.0347503\pi\) |
−0.896834 | + | 0.442368i | \(0.854139\pi\) | |||||||
\(492\) | 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 | \(-0.794595\pi\) |
−0.121399 | − | 0.992604i | \(-0.538738\pi\) | |||||||
\(504\) | 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 | −0.319858 | − | 0.947466i | \(-0.603635\pi\) |
0.877529 | + | 0.479524i | \(0.159191\pi\) | |||||||
\(510\) | 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 | −0.746053 | − | 0.665887i | \(-0.768053\pi\) |
0.949701 | + | 0.313157i | \(0.101387\pi\) | |||||||
\(522\) | 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 | 0.763025 | − | 0.646369i | \(-0.223713\pi\) |
−0.941284 | + | 0.337615i | \(0.890380\pi\) | |||||||
\(558\) | 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 | −0.965974 | − | 0.258638i | \(-0.916726\pi\) |
0.0869687 | + | 0.996211i | \(0.472282\pi\) | |||||||
\(564\) | 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 | 0.128664 | − | 0.991688i | \(-0.458931\pi\) |
0.736007 | + | 0.676974i | \(0.236709\pi\) | |||||||
\(570\) | 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 | 0.332557 | − | 0.943083i | \(-0.392089\pi\) |
−0.871008 | + | 0.491269i | \(0.836533\pi\) | |||||||
\(588\) | 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 | \(-0.599164\pi\) | ||||
−0.306519 | + | 0.951865i | \(0.599164\pi\) | |||||||
\(594\) | 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 | \(0.0336218\pi\) |
−0.898396 | + | 0.439186i | \(0.855267\pi\) | |||||||
\(600\) | 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 | −0.578332 | − | 0.815802i | \(-0.696296\pi\) |
0.702982 | + | 0.711208i | \(0.251852\pi\) | |||||||
\(618\) | 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 | \(0.132566\pi\) |
0.557192 | + | 0.830384i | \(0.311879\pi\) | |||||||
\(642\) | 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 | \(-0.764304\pi\) | ||||
−0.738159 | + | 0.674627i | \(0.764304\pi\) | |||||||
\(648\) | 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 | 0.962499 | − | 0.271286i | \(-0.0874489\pi\) |
−0.997238 | + | 0.0742686i | \(0.976338\pi\) | |||||||
\(654\) | 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 | \(-0.705634\pi\) |
0.838805 | − | 0.544433i | \(-0.183255\pi\) | |||||||
\(660\) | 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 | 0.426123 | − | 0.904665i | \(-0.359879\pi\) |
0.907937 | + | 0.419107i | \(0.137657\pi\) | |||||||
\(678\) | 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 | \(0.425907\pi\) |
−0.958007 | + | 0.286745i | \(0.907427\pi\) | |||||||
\(684\) | 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 | \(-0.383027\pi\) | ||||
0.359267 | + | 0.933235i | \(0.383027\pi\) | |||||||
\(702\) | 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 | 0.760361 | − | 0.649501i | \(-0.225022\pi\) |
−0.942665 | + | 0.333741i | \(0.891689\pi\) | |||||||
\(720\) | 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 | −0.0538536 | − | 0.998549i | \(-0.517150\pi\) |
−0.683109 | + | 0.730316i | \(0.739373\pi\) | |||||||
\(744\) | 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 | \(0.220081\pi\) |
−0.505815 | + | 0.862642i | \(0.668808\pi\) | |||||||
\(762\) | 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 | 0.853183 | − | 0.521612i | \(-0.174669\pi\) |
−0.878321 | + | 0.478072i | \(0.841336\pi\) | |||||||
\(774\) | 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 |