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 | 649.1 | ||
Root | \(-3.10658i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.649 |
Dual form | 729.2.e.j.82.1 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.369007 | + | 2.09274i | −0.260928 | + | 1.47979i | 0.519458 | + | 0.854496i | \(0.326134\pi\) |
−0.780386 | + | 0.625298i | \(0.784977\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −2.36403 | − | 0.860436i | −1.18201 | − | 0.430218i | ||||
\(5\) | −1.58643 | + | 1.33117i | −0.709474 | + | 0.595319i | −0.924452 | − | 0.381300i | \(-0.875477\pi\) |
0.214977 | + | 0.976619i | \(0.431032\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −4.55626 | + | 1.65834i | −1.72211 | + | 0.626795i | −0.998019 | − | 0.0629144i | \(-0.979960\pi\) |
−0.724086 | + | 0.689709i | \(0.757738\pi\) | |||||||
\(8\) | 0.547989 | − | 0.949144i | 0.193743 | − | 0.335573i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.20040 | − | 3.81121i | −0.695829 | − | 1.20521i | ||||
\(11\) | 3.17869 | + | 2.66724i | 0.958412 | + | 0.804203i | 0.980694 | − | 0.195549i | \(-0.0626487\pi\) |
−0.0222820 | + | 0.999752i | \(0.507093\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.211159 | − | 1.19754i | −0.0585649 | − | 0.332138i | 0.941422 | − | 0.337230i | \(-0.109490\pi\) |
−0.999987 | + | 0.00509231i | \(0.998379\pi\) | |||||||
\(14\) | −1.78920 | − | 10.1470i | −0.478183 | − | 2.71191i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.07024 | − | 1.73714i | −0.517561 | − | 0.434285i | ||||
\(17\) | −1.18182 | − | 2.04697i | −0.286633 | − | 0.496463i | 0.686371 | − | 0.727252i | \(-0.259203\pi\) |
−0.973004 | + | 0.230789i | \(0.925869\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.919003 | − | 1.59176i | 0.210834 | − | 0.365175i | −0.741142 | − | 0.671348i | \(-0.765715\pi\) |
0.951976 | + | 0.306174i | \(0.0990488\pi\) | |||||||
\(20\) | 4.89576 | − | 1.78191i | 1.09473 | − | 0.398448i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −6.75481 | + | 5.66796i | −1.44013 | + | 1.20841i | ||||
\(23\) | 4.04403 | + | 1.47191i | 0.843239 | + | 0.306914i | 0.727281 | − | 0.686340i | \(-0.240784\pi\) |
0.115958 | + | 0.993254i | \(0.463006\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.123500 | + | 0.700401i | −0.0246999 | + | 0.140080i | ||||
\(26\) | 2.58407 | 0.506777 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 12.1980 | 2.30521 | ||||||||
\(29\) | 0.517788 | − | 2.93652i | 0.0961507 | − | 0.545298i | −0.898238 | − | 0.439510i | \(-0.855152\pi\) |
0.994389 | − | 0.105788i | \(-0.0337366\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.38472 | − | 0.503996i | −0.248703 | − | 0.0905204i | 0.214661 | − | 0.976689i | \(-0.431135\pi\) |
−0.463364 | + | 0.886168i | \(0.653358\pi\) | |||||||
\(32\) | 6.07846 | − | 5.10043i | 1.07453 | − | 0.901638i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.71989 | − | 1.71790i | 0.809454 | − | 0.294617i | ||||
\(35\) | 5.02066 | − | 8.69603i | 0.848646 | − | 1.46990i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.48554 | − | 7.76918i | −0.737418 | − | 1.27725i | −0.953654 | − | 0.300905i | \(-0.902711\pi\) |
0.216236 | − | 0.976341i | \(-0.430622\pi\) | |||||||
\(38\) | 2.99203 | + | 2.51061i | 0.485371 | + | 0.407275i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.394130 | + | 2.23522i | 0.0623174 | + | 0.353420i | ||||
\(41\) | 0.392536 | + | 2.22618i | 0.0613038 | + | 0.347671i | 0.999996 | + | 0.00291413i | \(0.000927599\pi\) |
−0.938692 | + | 0.344757i | \(0.887961\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.20164 | − | 3.52560i | −0.640745 | − | 0.537649i | 0.263502 | − | 0.964659i | \(-0.415122\pi\) |
−0.904247 | + | 0.427010i | \(0.859567\pi\) | |||||||
\(44\) | −5.21953 | − | 9.04050i | −0.786874 | − | 1.36291i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.57260 | + | 7.91998i | −0.674194 | + | 1.16774i | ||||
\(47\) | −6.74994 | + | 2.45678i | −0.984579 | + | 0.358358i | −0.783619 | − | 0.621242i | \(-0.786628\pi\) |
−0.200960 | + | 0.979599i | \(0.564406\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 12.6471 | − | 10.6122i | 1.80673 | − | 1.51603i | ||||
\(50\) | −1.42019 | − | 0.516906i | −0.200845 | − | 0.0731016i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.531222 | + | 3.01271i | −0.0736673 | + | 0.417788i | ||||
\(53\) | −6.32803 | −0.869222 | −0.434611 | − | 0.900618i | \(-0.643114\pi\) | ||||
−0.434611 | + | 0.900618i | \(0.643114\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −8.59334 | −1.15873 | ||||||||
\(56\) | −0.922773 | + | 5.23330i | −0.123311 | + | 0.699330i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 5.95432 | + | 2.16719i | 0.781840 | + | 0.284567i | ||||
\(59\) | 0.200900 | − | 0.168575i | 0.0261550 | − | 0.0219466i | −0.629616 | − | 0.776906i | \(-0.716788\pi\) |
0.655771 | + | 0.754959i | \(0.272343\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.18690 | − | 1.52391i | 0.536078 | − | 0.195116i | −0.0597724 | − | 0.998212i | \(-0.519037\pi\) |
0.595850 | + | 0.803096i | \(0.296815\pi\) | |||||||
\(62\) | 1.56571 | − | 2.71188i | 0.198845 | − | 0.344410i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 5.72840 | + | 9.92188i | 0.716050 | + | 1.24024i | ||||
\(65\) | 1.92913 | + | 1.61873i | 0.239279 | + | 0.200779i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.717359 | + | 4.06834i | 0.0876393 | + | 0.497027i | 0.996756 | + | 0.0804853i | \(0.0256470\pi\) |
−0.909116 | + | 0.416542i | \(0.863242\pi\) | |||||||
\(68\) | 1.03257 | + | 5.85598i | 0.125217 | + | 0.710142i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 16.3459 | + | 13.7159i | 1.95371 | + | 1.63936i | ||||
\(71\) | −1.54276 | − | 2.67213i | −0.183091 | − | 0.317124i | 0.759840 | − | 0.650110i | \(-0.225277\pi\) |
−0.942932 | + | 0.332986i | \(0.891944\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.38003 | + | 11.0505i | −0.746726 | + | 1.29337i | 0.202658 | + | 0.979250i | \(0.435042\pi\) |
−0.949384 | + | 0.314118i | \(0.898291\pi\) | |||||||
\(74\) | 17.9141 | − | 6.52021i | 2.08247 | − | 0.757958i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.54216 | + | 2.97222i | −0.406313 | + | 0.340937i | ||||
\(77\) | −18.9062 | − | 6.88128i | −2.15456 | − | 0.784195i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.790517 | − | 4.48325i | 0.0889401 | − | 0.504404i | −0.907497 | − | 0.420060i | \(-0.862009\pi\) |
0.996437 | − | 0.0843449i | \(-0.0268797\pi\) | |||||||
\(80\) | 5.59674 | 0.625734 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.80368 | −0.530478 | ||||||||
\(83\) | −1.46786 | + | 8.32464i | −0.161118 | + | 0.913748i | 0.791859 | + | 0.610705i | \(0.209114\pi\) |
−0.952977 | + | 0.303043i | \(0.901997\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.59975 | + | 1.67417i | 0.498913 | + | 0.181590i | ||||
\(86\) | 8.92862 | − | 7.49200i | 0.962797 | − | 0.807883i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 4.27348 | − | 1.55542i | 0.455555 | − | 0.165808i | ||||
\(89\) | −8.48158 | + | 14.6905i | −0.899046 | + | 1.55719i | −0.0703304 | + | 0.997524i | \(0.522405\pi\) |
−0.828716 | + | 0.559670i | \(0.810928\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.94803 | + | 5.10614i | 0.309038 | + | 0.535269i | ||||
\(92\) | −8.29373 | − | 6.95926i | −0.864681 | − | 0.725553i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.65063 | − | 15.0325i | −0.273391 | − | 1.55048i | ||||
\(95\) | 0.660975 | + | 3.74857i | 0.0678146 | + | 0.384596i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.91431 | − | 3.28450i | −0.397438 | − | 0.333490i | 0.422064 | − | 0.906566i | \(-0.361306\pi\) |
−0.819502 | + | 0.573076i | \(0.805750\pi\) | |||||||
\(98\) | 17.5417 | + | 30.3831i | 1.77198 | + | 3.06916i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.894607 | − | 1.54951i | 0.0894607 | − | 0.154951i | ||||
\(101\) | −17.4594 | + | 6.35469i | −1.73727 | + | 0.632316i | −0.999105 | − | 0.0423013i | \(-0.986531\pi\) |
−0.738168 | + | 0.674617i | \(0.764309\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.89882 | − | 5.78880i | 0.679761 | − | 0.570387i | −0.236176 | − | 0.971710i | \(-0.575894\pi\) |
0.915936 | + | 0.401323i | \(0.131450\pi\) | |||||||
\(104\) | −1.25235 | − | 0.455819i | −0.122803 | − | 0.0446967i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.33509 | − | 13.2429i | 0.226804 | − | 1.28627i | ||||
\(107\) | 7.42680 | 0.717976 | 0.358988 | − | 0.933342i | \(-0.383122\pi\) | ||||
0.358988 | + | 0.933342i | \(0.383122\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.62396 | −0.538678 | −0.269339 | − | 0.963045i | \(-0.586805\pi\) | ||||
−0.269339 | + | 0.963045i | \(0.586805\pi\) | |||||||
\(110\) | 3.17101 | − | 17.9837i | 0.302344 | − | 1.71468i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 12.3133 | + | 4.48169i | 1.16350 | + | 0.423480i | ||||
\(113\) | −1.84055 | + | 1.54441i | −0.173144 | + | 0.145285i | −0.725242 | − | 0.688494i | \(-0.758272\pi\) |
0.552097 | + | 0.833780i | \(0.313828\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −8.37495 | + | 3.04823i | −0.780968 | + | 0.284249i | ||||
\(116\) | −3.75075 | + | 6.49649i | −0.348249 | + | 0.603184i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.278652 | + | 0.482639i | 0.0256520 | + | 0.0444305i | ||||
\(119\) | 8.77926 | + | 7.36667i | 0.804793 | + | 0.675302i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.07979 | + | 6.12379i | 0.0981626 | + | 0.556708i | ||||
\(122\) | 1.64415 | + | 9.32445i | 0.148854 | + | 0.844196i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 2.83986 | + | 2.38292i | 0.255027 | + | 0.213993i | ||||
\(125\) | −5.91378 | − | 10.2430i | −0.528945 | − | 0.916159i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.61735 | − | 7.99748i | 0.409723 | − | 0.709662i | −0.585135 | − | 0.810936i | \(-0.698959\pi\) |
0.994859 | + | 0.101274i | \(0.0322919\pi\) | |||||||
\(128\) | −7.96511 | + | 2.89906i | −0.704023 | + | 0.256243i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −4.09945 | + | 3.43985i | −0.359545 | + | 0.301694i | ||||
\(131\) | 14.4140 | + | 5.24625i | 1.25935 | + | 0.458367i | 0.883552 | − | 0.468334i | \(-0.155145\pi\) |
0.375801 | + | 0.926700i | \(0.377368\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.54753 | + | 8.77650i | −0.134188 | + | 0.761019i | ||||
\(134\) | −8.77871 | −0.758365 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.59049 | −0.222133 | ||||||||
\(137\) | −0.632769 | + | 3.58861i | −0.0540611 | + | 0.306596i | −0.999834 | − | 0.0182336i | \(-0.994196\pi\) |
0.945773 | + | 0.324829i | \(0.105307\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −12.4749 | − | 4.54050i | −1.05811 | − | 0.385120i | −0.246392 | − | 0.969170i | \(-0.579245\pi\) |
−0.811718 | + | 0.584050i | \(0.801467\pi\) | |||||||
\(140\) | −19.3514 | + | 16.2377i | −1.63549 | + | 1.37234i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 6.16138 | − | 2.24256i | 0.517051 | − | 0.188191i | ||||
\(143\) | 2.52292 | − | 4.36983i | 0.210977 | − | 0.365423i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.08759 | + | 5.34786i | 0.256410 | + | 0.444115i | ||||
\(146\) | −20.7717 | − | 17.4295i | −1.71908 | − | 1.44248i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 3.91906 | + | 22.2261i | 0.322145 | + | 1.82697i | ||||
\(149\) | 1.54738 | + | 8.77561i | 0.126766 | + | 0.718926i | 0.980243 | + | 0.197796i | \(0.0633782\pi\) |
−0.853477 | + | 0.521130i | \(0.825511\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.545733 | − | 0.457924i | −0.0444111 | − | 0.0372653i | 0.620312 | − | 0.784355i | \(-0.287006\pi\) |
−0.664723 | + | 0.747090i | \(0.731450\pi\) | |||||||
\(152\) | −1.00721 | − | 1.74453i | −0.0816953 | − | 0.141500i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 21.3773 | − | 37.0265i | 1.72263 | − | 2.98368i | ||||
\(155\) | 2.86767 | − | 1.04375i | 0.230337 | − | 0.0838357i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −10.5852 | + | 8.88207i | −0.844794 | + | 0.708867i | −0.958637 | − | 0.284632i | \(-0.908129\pi\) |
0.113842 | + | 0.993499i | \(0.463684\pi\) | |||||||
\(158\) | 9.09058 | + | 3.30870i | 0.723208 | + | 0.263226i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.85350 | + | 16.1830i | −0.225589 | + | 1.27938i | ||||
\(161\) | −20.8666 | −1.64452 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.19321 | −0.0934597 | −0.0467298 | − | 0.998908i | \(-0.514880\pi\) | ||||
−0.0467298 | + | 0.998908i | \(0.514880\pi\) | |||||||
\(164\) | 0.987521 | − | 5.60051i | 0.0771124 | − | 0.437326i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −16.8797 | − | 6.14370i | −1.31012 | − | 0.476844i | ||||
\(167\) | −18.3363 | + | 15.3860i | −1.41890 | + | 1.19060i | −0.466980 | + | 0.884268i | \(0.654658\pi\) |
−0.951924 | + | 0.306334i | \(0.900897\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 10.8265 | − | 3.94052i | 0.832807 | − | 0.303117i | ||||
\(170\) | −5.20096 | + | 9.00832i | −0.398895 | + | 0.690907i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 6.89926 | + | 11.9499i | 0.526063 | + | 0.911169i | ||||
\(173\) | −7.00165 | − | 5.87508i | −0.532325 | − | 0.446674i | 0.336578 | − | 0.941656i | \(-0.390730\pi\) |
−0.868904 | + | 0.494981i | \(0.835175\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.598809 | − | 3.39602i | −0.0452657 | − | 0.256715i | ||||
\(176\) | −1.94730 | − | 11.0437i | −0.146783 | − | 0.832448i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −27.6138 | − | 23.1707i | −2.06974 | − | 1.73672i | ||||
\(179\) | −5.30038 | − | 9.18052i | −0.396169 | − | 0.686184i | 0.597081 | − | 0.802181i | \(-0.296327\pi\) |
−0.993250 | + | 0.115997i | \(0.962994\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.731460 | − | 1.26693i | 0.0543690 | − | 0.0941699i | −0.837560 | − | 0.546345i | \(-0.816019\pi\) |
0.891929 | + | 0.452176i | \(0.149352\pi\) | |||||||
\(182\) | −11.7737 | + | 4.28527i | −0.872724 | + | 0.317645i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 3.61314 | − | 3.03178i | 0.266364 | − | 0.223506i | ||||
\(185\) | 17.4581 | + | 6.35425i | 1.28355 | + | 0.467174i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.70312 | − | 9.65889i | 0.124545 | − | 0.706328i | ||||
\(188\) | 18.0709 | 1.31796 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −8.08871 | −0.586817 | ||||||||
\(191\) | 2.15711 | − | 12.2336i | 0.156083 | − | 0.885189i | −0.801707 | − | 0.597718i | \(-0.796074\pi\) |
0.957789 | − | 0.287471i | \(-0.0928145\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −19.5205 | − | 7.10489i | −1.40512 | − | 0.511421i | −0.475425 | − | 0.879756i | \(-0.657706\pi\) |
−0.929693 | + | 0.368335i | \(0.879928\pi\) | |||||||
\(194\) | 8.31803 | − | 6.97965i | 0.597199 | − | 0.501110i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −39.0292 | + | 14.2055i | −2.78780 | + | 1.01468i | ||||
\(197\) | 7.09433 | − | 12.2877i | 0.505450 | − | 0.875465i | −0.494530 | − | 0.869161i | \(-0.664660\pi\) |
0.999980 | − | 0.00630469i | \(-0.00200686\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −10.1643 | − | 17.6051i | −0.720529 | − | 1.24799i | −0.960788 | − | 0.277284i | \(-0.910566\pi\) |
0.240259 | − | 0.970709i | \(-0.422768\pi\) | |||||||
\(200\) | 0.597105 | + | 0.501031i | 0.0422217 | + | 0.0354282i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −6.85611 | − | 38.8829i | −0.482394 | − | 2.73579i | ||||
\(203\) | 2.51058 | + | 14.2382i | 0.176208 | + | 0.999327i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −3.58617 | − | 3.00915i | −0.250469 | − | 0.210168i | ||||
\(206\) | 9.56876 | + | 16.5736i | 0.666687 | + | 1.15474i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.64315 | + | 2.84601i | −0.113932 | + | 0.197336i | ||||
\(209\) | 7.16684 | − | 2.60851i | 0.495740 | − | 0.180435i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −7.55574 | + | 6.34002i | −0.520159 | + | 0.436465i | −0.864687 | − | 0.502311i | \(-0.832483\pi\) |
0.344528 | + | 0.938776i | \(0.388039\pi\) | |||||||
\(212\) | 14.9596 | + | 5.44487i | 1.02743 | + | 0.373955i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −2.74055 | + | 15.5424i | −0.187340 | + | 1.06246i | ||||
\(215\) | 11.3588 | 0.774665 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 7.14494 | 0.485030 | ||||||||
\(218\) | 2.07528 | − | 11.7695i | 0.140556 | − | 0.797132i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 20.3149 | + | 7.39402i | 1.36963 | + | 0.498505i | ||||
\(221\) | −2.20178 | + | 1.84751i | −0.148108 | + | 0.124277i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −14.1625 | + | 5.15472i | −0.948389 | + | 0.345185i | −0.769473 | − | 0.638679i | \(-0.779481\pi\) |
−0.178916 | + | 0.983864i | \(0.557259\pi\) | |||||||
\(224\) | −19.2368 | + | 33.3191i | −1.28531 | + | 2.22623i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.55287 | − | 4.42170i | −0.169814 | − | 0.294127i | ||||
\(227\) | −17.3835 | − | 14.5865i | −1.15378 | − | 0.968140i | −0.153983 | − | 0.988074i | \(-0.549210\pi\) |
−0.999801 | + | 0.0199338i | \(0.993654\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.51364 | + | 8.58428i | 0.100024 | + | 0.567265i | 0.993092 | + | 0.117342i | \(0.0374374\pi\) |
−0.893067 | + | 0.449923i | \(0.851451\pi\) | |||||||
\(230\) | −3.28875 | − | 18.6515i | −0.216854 | − | 1.22984i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.50344 | − | 2.10063i | −0.164359 | − | 0.137913i | ||||
\(233\) | 11.7945 | + | 20.4286i | 0.772682 | + | 1.33832i | 0.936088 | + | 0.351766i | \(0.114419\pi\) |
−0.163406 | + | 0.986559i | \(0.552248\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 7.43792 | − | 12.8829i | 0.485196 | − | 0.840385i | ||||
\(236\) | −0.619983 | + | 0.225655i | −0.0403574 | + | 0.0146889i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −18.6562 | + | 15.6544i | −1.20930 | + | 1.01472i | ||||
\(239\) | −9.35419 | − | 3.40465i | −0.605072 | − | 0.220228i | 0.0212736 | − | 0.999774i | \(-0.493228\pi\) |
−0.626346 | + | 0.779545i | \(0.715450\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.992130 | − | 5.62665i | 0.0639087 | − | 0.362444i | −0.936036 | − | 0.351905i | \(-0.885534\pi\) |
0.999944 | − | 0.0105394i | \(-0.00335485\pi\) | |||||||
\(242\) | −13.2140 | −0.849427 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −11.2092 | −0.717594 | ||||||||
\(245\) | −5.93711 | + | 33.6710i | −0.379308 | + | 2.15116i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.10025 | − | 0.764430i | −0.133636 | − | 0.0486395i | ||||
\(248\) | −1.23718 | + | 1.03811i | −0.0785607 | + | 0.0659203i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 23.6182 | − | 8.59631i | 1.49374 | − | 0.543678i | ||||
\(251\) | 3.64483 | − | 6.31303i | 0.230060 | − | 0.398475i | −0.727766 | − | 0.685826i | \(-0.759441\pi\) |
0.957825 | + | 0.287351i | \(0.0927745\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 8.92881 | + | 15.4651i | 0.561349 | + | 0.972285i | ||||
\(254\) | 15.0328 | + | 12.6141i | 0.943245 | + | 0.791476i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.851090 | + | 4.82677i | 0.0531931 | + | 0.301673i | ||||
\(257\) | −4.03612 | − | 22.8900i | −0.251766 | − | 1.42784i | −0.804239 | − | 0.594306i | \(-0.797427\pi\) |
0.552473 | − | 0.833531i | \(-0.313684\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 33.3213 | + | 27.9599i | 2.07048 | + | 1.73734i | ||||
\(260\) | −3.16770 | − | 5.48661i | −0.196452 | − | 0.340265i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −16.2979 | + | 28.2288i | −1.00689 | + | 1.74398i | ||||
\(263\) | 25.7472 | − | 9.37122i | 1.58764 | − | 0.577854i | 0.610793 | − | 0.791790i | \(-0.290851\pi\) |
0.976848 | + | 0.213936i | \(0.0686284\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 10.0390 | − | 8.42371i | 0.616690 | − | 0.517465i | ||||
\(266\) | −17.7959 | − | 6.47719i | −1.09114 | − | 0.397142i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.80469 | − | 10.2349i | 0.110239 | − | 0.625197i | ||||
\(269\) | 9.41973 | 0.574331 | 0.287166 | − | 0.957881i | \(-0.407287\pi\) | ||||
0.287166 | + | 0.957881i | \(0.407287\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 26.2797 | 1.59638 | 0.798189 | − | 0.602408i | \(-0.205792\pi\) | ||||
0.798189 | + | 0.602408i | \(0.205792\pi\) | |||||||
\(272\) | −1.10922 | + | 6.29071i | −0.0672565 | + | 0.381430i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −7.27655 | − | 2.64845i | −0.439592 | − | 0.159999i | ||||
\(275\) | −2.26071 | + | 1.89696i | −0.136326 | + | 0.114391i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.352208 | + | 0.128193i | −0.0211621 | + | 0.00770238i | −0.352580 | − | 0.935782i | \(-0.614695\pi\) |
0.331417 | + | 0.943484i | \(0.392473\pi\) | |||||||
\(278\) | 14.1054 | − | 24.4314i | 0.845989 | − | 1.46530i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −5.50253 | − | 9.53065i | −0.328839 | − | 0.569566i | ||||
\(281\) | 10.7105 | + | 8.98719i | 0.638936 | + | 0.536131i | 0.903691 | − | 0.428185i | \(-0.140847\pi\) |
−0.264755 | + | 0.964316i | \(0.585291\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.70229 | + | 15.3255i | 0.160635 | + | 0.911005i | 0.953452 | + | 0.301545i | \(0.0975024\pi\) |
−0.792817 | + | 0.609459i | \(0.791387\pi\) | |||||||
\(284\) | 1.34792 | + | 7.64444i | 0.0799844 | + | 0.453614i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 8.21396 | + | 6.89233i | 0.485701 | + | 0.407552i | ||||
\(287\) | −5.48027 | − | 9.49211i | −0.323490 | − | 0.560301i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 5.70661 | − | 9.88413i | 0.335683 | − | 0.581420i | ||||
\(290\) | −12.3310 | + | 4.48813i | −0.724103 | + | 0.263552i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 24.5909 | − | 20.6342i | 1.43907 | − | 1.20752i | ||||
\(293\) | −23.1392 | − | 8.42198i | −1.35181 | − | 0.492017i | −0.438295 | − | 0.898831i | \(-0.644418\pi\) |
−0.913511 | + | 0.406814i | \(0.866640\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.0943115 | + | 0.534867i | −0.00549103 | + | 0.0311412i | ||||
\(296\) | −9.83210 | −0.571479 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −18.9361 | −1.09694 | ||||||||
\(299\) | 0.908737 | − | 5.15370i | 0.0525536 | − | 0.298046i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 24.9904 | + | 9.09578i | 1.44043 | + | 0.524272i | ||||
\(302\) | 1.15970 | − | 0.973102i | 0.0667331 | − | 0.0559957i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −4.66767 | + | 1.69889i | −0.267709 | + | 0.0974382i | ||||
\(305\) | −4.61365 | + | 7.99107i | −0.264177 | + | 0.457567i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 10.1956 | + | 17.6593i | 0.581893 | + | 1.00787i | 0.995255 | + | 0.0973012i | \(0.0310210\pi\) |
−0.413362 | + | 0.910567i | \(0.635646\pi\) | |||||||
\(308\) | 38.7738 | + | 32.5351i | 2.20934 | + | 1.85386i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1.12610 | + | 6.38645i | 0.0639584 | + | 0.362726i | ||||
\(311\) | 3.85135 | + | 21.8421i | 0.218390 | + | 1.23855i | 0.874926 | + | 0.484256i | \(0.160910\pi\) |
−0.656536 | + | 0.754294i | \(0.727979\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −8.55828 | − | 7.18125i | −0.483742 | − | 0.405908i | 0.368035 | − | 0.929812i | \(-0.380031\pi\) |
−0.851777 | + | 0.523904i | \(0.824475\pi\) | |||||||
\(314\) | −14.6819 | − | 25.4298i | −0.828547 | − | 1.43508i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −5.72635 | + | 9.91833i | −0.322132 | + | 0.557950i | ||||
\(317\) | −23.6959 | + | 8.62461i | −1.33089 | + | 0.484406i | −0.906933 | − | 0.421274i | \(-0.861583\pi\) |
−0.423962 | + | 0.905680i | \(0.639361\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 9.47829 | − | 7.95323i | 0.530682 | − | 0.445295i | ||||
\(320\) | −22.2955 | − | 8.11489i | −1.24636 | − | 0.453636i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 7.69993 | − | 43.6685i | 0.429100 | − | 2.43355i | ||||
\(323\) | −4.34438 | −0.241728 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.864837 | 0.0479725 | ||||||||
\(326\) | 0.440305 | − | 2.49709i | 0.0243862 | − | 0.138301i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.32807 | + | 0.847349i | 0.128546 | + | 0.0467870i | ||||
\(329\) | 26.6803 | − | 22.3874i | 1.47093 | − | 1.23426i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 24.5877 | − | 8.94919i | 1.35146 | − | 0.491892i | 0.438059 | − | 0.898946i | \(-0.355666\pi\) |
0.913404 | + | 0.407054i | \(0.133444\pi\) | |||||||
\(332\) | 10.6329 | − | 18.4167i | 0.583555 | − | 1.01075i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −25.4327 | − | 44.0507i | −1.39161 | − | 2.41035i | ||||
\(335\) | −6.55372 | − | 5.49922i | −0.358068 | − | 0.300455i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.90076 | + | 10.7798i | 0.103541 | + | 0.587211i | 0.991793 | + | 0.127854i | \(0.0408089\pi\) |
−0.888252 | + | 0.459357i | \(0.848080\pi\) | |||||||
\(338\) | 4.25145 | + | 24.1112i | 0.231248 | + | 1.31147i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −9.43343 | − | 7.91559i | −0.511599 | − | 0.429283i | ||||
\(341\) | −3.05732 | − | 5.29543i | −0.165563 | − | 0.286763i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −23.0545 | + | 39.9316i | −1.24483 | + | 2.15611i | ||||
\(344\) | −5.64876 | + | 2.05598i | −0.304560 | + | 0.110851i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 14.8787 | − | 12.4847i | 0.799884 | − | 0.671182i | ||||
\(347\) | −3.30150 | − | 1.20165i | −0.177234 | − | 0.0645078i | 0.251879 | − | 0.967759i | \(-0.418951\pi\) |
−0.429113 | + | 0.903251i | \(0.641174\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −5.06998 | + | 28.7533i | −0.271390 | + | 1.53913i | 0.478811 | + | 0.877918i | \(0.341068\pi\) |
−0.750201 | + | 0.661210i | \(0.770043\pi\) | |||||||
\(350\) | 7.32796 | 0.391696 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 32.9256 | 1.75494 | ||||||||
\(353\) | −4.35454 | + | 24.6958i | −0.231769 | + | 1.31443i | 0.617544 | + | 0.786537i | \(0.288128\pi\) |
−0.849313 | + | 0.527890i | \(0.822983\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 6.00455 | + | 2.18548i | 0.318688 | + | 0.115993i | ||||
\(356\) | 32.6910 | − | 27.4310i | 1.73262 | − | 1.45384i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 21.1684 | − | 7.70466i | 1.11878 | − | 0.407204i | ||||
\(359\) | −2.10362 | + | 3.64358i | −0.111025 | + | 0.192301i | −0.916184 | − | 0.400758i | \(-0.868747\pi\) |
0.805159 | + | 0.593059i | \(0.202080\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.81087 | + | 13.5288i | 0.411098 | + | 0.712043i | ||||
\(362\) | 2.38144 | + | 1.99826i | 0.125166 | + | 0.105026i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −2.57572 | − | 14.6076i | −0.135005 | − | 0.765649i | ||||
\(365\) | −4.58871 | − | 26.0239i | −0.240184 | − | 1.36215i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 13.4032 | + | 11.2466i | 0.699641 | + | 0.587069i | 0.921672 | − | 0.387971i | \(-0.126824\pi\) |
−0.222030 | + | 0.975040i | \(0.571268\pi\) | |||||||
\(368\) | −5.81522 | − | 10.0723i | −0.303139 | − | 0.525053i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −19.7400 | + | 34.1907i | −1.02623 | + | 1.77749i | ||||
\(371\) | 28.8322 | − | 10.4940i | 1.49689 | − | 0.544824i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −22.7167 | + | 19.0616i | −1.17623 | + | 0.986972i | −0.176230 | + | 0.984349i | \(0.556390\pi\) |
−0.999997 | + | 0.00262266i | \(0.999165\pi\) | |||||||
\(374\) | 19.5851 | + | 7.12840i | 1.01272 | + | 0.368601i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.36705 | + | 7.75295i | −0.0705004 | + | 0.399828i | ||||
\(377\) | −3.62594 | −0.186745 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 20.9523 | 1.07625 | 0.538124 | − | 0.842865i | \(-0.319133\pi\) | ||||
0.538124 | + | 0.842865i | \(0.319133\pi\) | |||||||
\(380\) | 1.66285 | − | 9.43046i | 0.0853022 | − | 0.483773i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 24.8057 | + | 9.02854i | 1.26917 | + | 0.461940i | ||||
\(383\) | 7.58137 | − | 6.36152i | 0.387390 | − | 0.325059i | −0.428205 | − | 0.903681i | \(-0.640854\pi\) |
0.815595 | + | 0.578623i | \(0.196410\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 39.1535 | − | 14.2507i | 1.99545 | − | 0.726284i | ||||
\(386\) | 22.0719 | − | 38.2297i | 1.12343 | − | 1.94584i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 6.42745 | + | 11.1327i | 0.326304 | + | 0.565175i | ||||
\(389\) | −16.1748 | − | 13.5723i | −0.820097 | − | 0.688143i | 0.132898 | − | 0.991130i | \(-0.457572\pi\) |
−0.952995 | + | 0.302986i | \(0.902016\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.76636 | − | 10.0175i | −0.0893288 | − | 0.506609i | ||||
\(392\) | −3.14202 | − | 17.8193i | −0.158696 | − | 0.900010i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 23.0972 | + | 19.3809i | 1.16362 | + | 0.976395i | ||||
\(395\) | 4.71388 | + | 8.16468i | 0.237181 | + | 0.410810i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 4.88955 | − | 8.46894i | 0.245399 | − | 0.425044i | −0.716845 | − | 0.697233i | \(-0.754414\pi\) |
0.962244 | + | 0.272189i | \(0.0877476\pi\) | |||||||
\(398\) | 40.5937 | − | 14.7749i | 2.03478 | − | 0.740599i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.47237 | − | 1.23546i | 0.0736185 | − | 0.0617732i | ||||
\(401\) | 17.9851 | + | 6.54604i | 0.898133 | + | 0.326894i | 0.749504 | − | 0.662000i | \(-0.230292\pi\) |
0.148628 | + | 0.988893i | \(0.452514\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.311161 | + | 1.76468i | −0.0155000 | + | 0.0879050i | ||||
\(404\) | 46.7423 | 2.32552 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −30.7234 | −1.52478 | ||||||||
\(407\) | 6.46412 | − | 36.6599i | 0.320415 | − | 1.81716i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −14.0912 | − | 5.12878i | −0.696766 | − | 0.253602i | −0.0307364 | − | 0.999528i | \(-0.509785\pi\) |
−0.666029 | + | 0.745926i | \(0.732007\pi\) | |||||||
\(410\) | 7.62071 | − | 6.39454i | 0.376360 | − | 0.315804i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −21.2899 | + | 7.74889i | −1.04888 | + | 0.381760i | ||||
\(413\) | −0.635799 | + | 1.10124i | −0.0312856 | + | 0.0541883i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −8.75289 | − | 15.1604i | −0.429662 | − | 0.744197i | ||||
\(416\) | −7.39150 | − | 6.20221i | −0.362398 | − | 0.304088i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 2.81434 | + | 15.9609i | 0.137654 | + | 0.780674i | ||||
\(419\) | 1.00921 | + | 5.72351i | 0.0493031 | + | 0.279612i | 0.999485 | − | 0.0320837i | \(-0.0102143\pi\) |
−0.950182 | + | 0.311695i | \(0.899103\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −10.1987 | − | 8.55776i | −0.497056 | − | 0.417080i | 0.359491 | − | 0.933149i | \(-0.382950\pi\) |
−0.856547 | + | 0.516069i | \(0.827395\pi\) | |||||||
\(422\) | −10.4799 | − | 18.1518i | −0.510154 | − | 0.883613i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −3.46769 | + | 6.00621i | −0.168406 | + | 0.291687i | ||||
\(425\) | 1.57965 | − | 0.574947i | 0.0766245 | − | 0.0278890i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −16.5495 | + | 13.8866i | −0.800884 | + | 0.672022i | ||||
\(428\) | −17.5572 | − | 6.39029i | −0.848658 | − | 0.308886i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −4.19149 | + | 23.7711i | −0.202131 | + | 1.14634i | ||||
\(431\) | −36.4166 | −1.75413 | −0.877064 | − | 0.480374i | \(-0.840501\pi\) | ||||
−0.877064 | + | 0.480374i | \(0.840501\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −10.8761 | −0.522674 | −0.261337 | − | 0.965248i | \(-0.584163\pi\) | ||||
−0.261337 | + | 0.965248i | \(0.584163\pi\) | |||||||
\(434\) | −2.63654 | + | 14.9525i | −0.126558 | + | 0.717745i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 13.2952 | + | 4.83906i | 0.636725 | + | 0.231749i | ||||
\(437\) | 6.05940 | − | 5.08444i | 0.289860 | − | 0.243222i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −8.88316 | + | 3.23321i | −0.423970 | + | 0.154313i | −0.545189 | − | 0.838313i | \(-0.683542\pi\) |
0.121219 | + | 0.992626i | \(0.461320\pi\) | |||||||
\(440\) | −4.70906 | + | 8.15632i | −0.224495 | + | 0.388837i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −3.05390 | − | 5.28951i | −0.145259 | − | 0.251596i | ||||
\(443\) | 12.6581 | + | 10.6214i | 0.601402 | + | 0.504636i | 0.891896 | − | 0.452241i | \(-0.149375\pi\) |
−0.290494 | + | 0.956877i | \(0.593820\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −6.10021 | − | 34.5960i | −0.289178 | − | 1.64001i | ||||
\(446\) | −5.56145 | − | 31.5406i | −0.263342 | − | 1.49349i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −42.5540 | − | 35.7070i | −2.01049 | − | 1.68700i | ||||
\(449\) | 2.37181 | + | 4.10809i | 0.111933 | + | 0.193873i | 0.916549 | − | 0.399921i | \(-0.130963\pi\) |
−0.804617 | + | 0.593794i | \(0.797629\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −4.69001 | + | 8.12334i | −0.220844 | + | 0.382513i | ||||
\(452\) | 5.67998 | − | 2.06734i | 0.267164 | − | 0.0972396i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 36.9405 | − | 30.9967i | 1.73370 | − | 1.45475i | ||||
\(455\) | −11.4740 | − | 4.17620i | −0.537910 | − | 0.195783i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −3.89120 | + | 22.0681i | −0.182023 | + | 1.03230i | 0.747698 | + | 0.664039i | \(0.231159\pi\) |
−0.929721 | + | 0.368264i | \(0.879952\pi\) | |||||||
\(458\) | −18.5232 | −0.865534 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 22.4214 | 1.04540 | ||||||||
\(461\) | −2.59122 | + | 14.6956i | −0.120685 | + | 0.684440i | 0.863092 | + | 0.505047i | \(0.168525\pi\) |
−0.983777 | + | 0.179394i | \(0.942586\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 13.9518 | + | 5.07803i | 0.648394 | + | 0.235996i | 0.645218 | − | 0.763999i | \(-0.276767\pi\) |
0.00317653 | + | 0.999995i | \(0.498989\pi\) | |||||||
\(464\) | −6.17309 | + | 5.17984i | −0.286579 | + | 0.240468i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −47.1042 | + | 17.1445i | −2.18206 | + | 0.794204i | ||||
\(467\) | 7.67571 | − | 13.2947i | 0.355190 | − | 0.615206i | −0.631961 | − | 0.775000i | \(-0.717750\pi\) |
0.987150 | + | 0.159794i | \(0.0510830\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −10.0152 | − | 17.3468i | −0.462458 | − | 0.801001i | ||||
\(470\) | 24.2159 | + | 20.3195i | 1.11700 | + | 0.937270i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −0.0499113 | − | 0.283061i | −0.00229735 | − | 0.0130289i | ||||
\(473\) | −3.95212 | − | 22.4136i | −0.181719 | − | 1.03058i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.00137 | + | 0.840253i | 0.0459462 | + | 0.0385534i | ||||
\(476\) | −14.4159 | − | 24.9690i | −0.660750 | − | 1.14445i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 10.5768 | − | 18.3196i | 0.483772 | − | 0.837918i | ||||
\(479\) | −9.81848 | + | 3.57363i | −0.448618 | + | 0.163284i | −0.556442 | − | 0.830886i | \(-0.687834\pi\) |
0.107824 | + | 0.994170i | \(0.465612\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −8.35676 | + | 7.01215i | −0.381035 | + | 0.319727i | ||||
\(482\) | 11.4090 | + | 4.15255i | 0.519667 | + | 0.189143i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 2.71648 | − | 15.4059i | 0.123476 | − | 0.700268i | ||||
\(485\) | 10.5820 | 0.480505 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −16.1649 | −0.732500 | −0.366250 | − | 0.930516i | \(-0.619359\pi\) | ||||
−0.366250 | + | 0.930516i | \(0.619359\pi\) | |||||||
\(488\) | 0.847966 | − | 4.80906i | 0.0383856 | − | 0.217696i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −68.2740 | − | 24.8497i | −3.08431 | − | 1.12260i | ||||
\(491\) | −8.25592 | + | 6.92754i | −0.372585 | + | 0.312636i | −0.809783 | − | 0.586730i | \(-0.800415\pi\) |
0.437198 | + | 0.899365i | \(0.355971\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −6.62290 | + | 2.41054i | −0.298280 | + | 0.108565i | ||||
\(494\) | 2.37477 | − | 4.11322i | 0.106846 | − | 0.185062i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.99119 | + | 3.44885i | 0.0894071 | + | 0.154858i | ||||
\(497\) | 11.4605 | + | 9.61651i | 0.514074 | + | 0.431359i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −3.33182 | − | 18.8957i | −0.149153 | − | 0.845887i | −0.963938 | − | 0.266125i | \(-0.914257\pi\) |
0.814786 | − | 0.579762i | \(-0.196855\pi\) | |||||||
\(500\) | 5.16693 | + | 29.3031i | 0.231072 | + | 1.31048i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 11.8666 | + | 9.95726i | 0.529632 | + | 0.444414i | ||||
\(503\) | 6.01253 | + | 10.4140i | 0.268086 | + | 0.464338i | 0.968367 | − | 0.249529i | \(-0.0802757\pi\) |
−0.700282 | + | 0.713866i | \(0.746942\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 19.2389 | − | 33.3228i | 0.856120 | − | 1.48284i | ||||
\(506\) | −35.6594 | + | 12.9790i | −1.58525 | + | 0.576985i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −17.7969 | + | 14.9333i | −0.789608 | + | 0.662560i | ||||
\(509\) | 14.0512 | + | 5.11423i | 0.622810 | + | 0.226684i | 0.634099 | − | 0.773252i | \(-0.281371\pi\) |
−0.0112886 | + | 0.999936i | \(0.503593\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 10.7435 | − | 60.9294i | 0.475265 | − | 2.69536i | ||||
\(512\) | −27.3678 | −1.20950 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 49.3922 | 2.17860 | ||||||||
\(515\) | −3.23861 | + | 18.3671i | −0.142710 | + | 0.809350i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −28.0088 | − | 10.1944i | −1.23182 | − | 0.448348i | ||||
\(518\) | −70.8087 | + | 59.4155i | −3.11115 | + | 2.61057i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.59355 | − | 0.943974i | 0.113735 | − | 0.0413960i | ||||
\(521\) | −18.7094 | + | 32.4056i | −0.819673 | + | 1.41972i | 0.0862502 | + | 0.996274i | \(0.472512\pi\) |
−0.905923 | + | 0.423442i | \(0.860822\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 4.22489 | + | 7.31773i | 0.184742 | + | 0.319982i | 0.943489 | − | 0.331403i | \(-0.107522\pi\) |
−0.758748 | + | 0.651385i | \(0.774188\pi\) | |||||||
\(524\) | −29.5609 | − | 24.8046i | −1.29138 | − | 1.08359i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 10.1107 | + | 57.3404i | 0.440846 | + | 2.50016i | ||||
\(527\) | 0.604821 | + | 3.43011i | 0.0263464 | + | 0.149418i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.43134 | − | 2.87924i | −0.149189 | − | 0.125184i | ||||
\(530\) | 13.9242 | + | 24.1175i | 0.604829 | + | 1.04760i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 11.2100 | − | 19.4163i | 0.486017 | − | 0.841805i | ||||
\(533\) | 2.58306 | − | 0.940156i | 0.111885 | − | 0.0407227i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −11.7821 | + | 9.88637i | −0.509386 | + | 0.427425i | ||||
\(536\) | 4.25455 | + | 1.54853i | 0.183769 | + | 0.0668863i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −3.47595 | + | 19.7131i | −0.149859 | + | 0.849892i | ||||
\(539\) | 68.5065 | 2.95078 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 12.6259 | 0.542828 | 0.271414 | − | 0.962463i | \(-0.412509\pi\) | ||||
0.271414 | + | 0.962463i | \(0.412509\pi\) | |||||||
\(542\) | −9.69740 | + | 54.9967i | −0.416539 | + | 2.36231i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −17.6241 | − | 6.41464i | −0.755626 | − | 0.275025i | ||||
\(545\) | 8.92204 | − | 7.48648i | 0.382178 | − | 0.320685i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −29.5017 | + | 10.7377i | −1.26140 | + | 0.459113i | −0.884239 | − | 0.467034i | \(-0.845322\pi\) |
−0.377162 | + | 0.926147i | \(0.623100\pi\) | |||||||
\(548\) | 4.58365 | − | 7.93912i | 0.195804 | − | 0.339142i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −3.13563 | − | 5.43107i | −0.133704 | − | 0.231582i | ||||
\(551\) | −4.19839 | − | 3.52286i | −0.178857 | − | 0.150079i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 3.83296 | + | 21.7378i | 0.162994 | + | 0.924385i | ||||
\(554\) | −0.138308 | − | 0.784385i | −0.00587616 | − | 0.0333253i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 25.5843 | + | 21.4678i | 1.08501 | + | 0.910436i | ||||
\(557\) | 7.96515 | + | 13.7960i | 0.337494 | + | 0.584557i | 0.983961 | − | 0.178385i | \(-0.0570874\pi\) |
−0.646467 | + | 0.762942i | \(0.723754\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.33484 | + | 5.77610i | −0.141048 | + | 0.244303i | ||||
\(560\) | −25.5002 | + | 9.28132i | −1.07758 | + | 0.392207i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −22.7602 | + | 19.0980i | −0.960079 | + | 0.805602i | ||||
\(563\) | 23.3616 | + | 8.50291i | 0.984572 | + | 0.358355i | 0.783616 | − | 0.621245i | \(-0.213373\pi\) |
0.200956 | + | 0.979600i | \(0.435595\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.864036 | − | 4.90019i | 0.0363503 | − | 0.206153i | ||||
\(566\) | −33.0695 | −1.39001 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −3.38165 | −0.141891 | ||||||||
\(569\) | 3.33231 | − | 18.8985i | 0.139698 | − | 0.792265i | −0.831775 | − | 0.555113i | \(-0.812675\pi\) |
0.971473 | − | 0.237152i | \(-0.0762139\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 19.1502 | + | 6.97011i | 0.801412 | + | 0.291690i | 0.710071 | − | 0.704130i | \(-0.248663\pi\) |
0.0913403 | + | 0.995820i | \(0.470885\pi\) | |||||||
\(572\) | −9.72422 | + | 8.15959i | −0.406590 | + | 0.341169i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 21.8868 | − | 7.96615i | 0.913538 | − | 0.332501i | ||||
\(575\) | −1.53036 | + | 2.65066i | −0.0638205 | + | 0.110540i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −11.6495 | − | 20.1776i | −0.484976 | − | 0.840004i | 0.514875 | − | 0.857265i | \(-0.327838\pi\) |
−0.999851 | + | 0.0172619i | \(0.994505\pi\) | |||||||
\(578\) | 18.5792 | + | 15.5898i | 0.772792 | + | 0.648450i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −2.69765 | − | 15.2992i | −0.112014 | − | 0.635263i | ||||
\(581\) | −7.11716 | − | 40.3634i | −0.295270 | − | 1.67456i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −20.1149 | − | 16.8784i | −0.833072 | − | 0.699031i | ||||
\(584\) | 6.99237 | + | 12.1111i | 0.289346 | + | 0.501163i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 26.1636 | − | 45.3167i | 1.08081 | − | 1.87201i | ||||
\(587\) | 34.6834 | − | 12.6237i | 1.43154 | − | 0.521036i | 0.494165 | − | 0.869368i | \(-0.335474\pi\) |
0.937371 | + | 0.348332i | \(0.113252\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.07480 | + | 1.74097i | −0.0854907 | + | 0.0717352i | ||||
\(590\) | −1.08454 | − | 0.394740i | −0.0446497 | − | 0.0162512i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −4.21000 | + | 23.8761i | −0.173030 | + | 0.981302i | ||||
\(593\) | 4.36830 | 0.179385 | 0.0896923 | − | 0.995970i | \(-0.471412\pi\) | ||||
0.0896923 | + | 0.995970i | \(0.471412\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −23.7340 | −0.973000 | ||||||||
\(596\) | 3.89281 | − | 22.0772i | 0.159456 | − | 0.904318i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 10.4501 | + | 3.80351i | 0.427334 | + | 0.155537i | ||||
\(599\) | −23.9049 | + | 20.0586i | −0.976727 | + | 0.819571i | −0.983592 | − | 0.180405i | \(-0.942259\pi\) |
0.00686530 | + | 0.999976i | \(0.497815\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −41.2874 | + | 15.0274i | −1.68415 | + | 0.612979i | −0.993869 | − | 0.110565i | \(-0.964734\pi\) |
−0.690278 | + | 0.723544i | \(0.742512\pi\) | |||||||
\(602\) | −28.2568 | + | 48.9422i | −1.15166 | + | 1.99474i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.896114 | + | 1.55211i | 0.0364623 | + | 0.0631546i | ||||
\(605\) | −9.86485 | − | 8.27759i | −0.401063 | − | 0.336532i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 3.01430 | + | 17.0949i | 0.122347 | + | 0.693862i | 0.982849 | + | 0.184415i | \(0.0590390\pi\) |
−0.860502 | + | 0.509447i | \(0.829850\pi\) | |||||||
\(608\) | −2.53254 | − | 14.3628i | −0.102708 | − | 0.582487i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −15.0208 | − | 12.6039i | −0.608174 | − | 0.510319i | ||||
\(611\) | 4.36740 | + | 7.56456i | 0.176686 | + | 0.306029i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 0.599024 | − | 1.03754i | 0.0241944 | − | 0.0419059i | −0.853675 | − | 0.520807i | \(-0.825631\pi\) |
0.877869 | + | 0.478901i | \(0.158965\pi\) | |||||||
\(614\) | −40.7186 | + | 14.8204i | −1.64327 | + | 0.598101i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −16.8917 | + | 14.1738i | −0.680586 | + | 0.571079i | ||||
\(617\) | −24.4449 | − | 8.89721i | −0.984114 | − | 0.358188i | −0.200676 | − | 0.979658i | \(-0.564314\pi\) |
−0.783439 | + | 0.621469i | \(0.786536\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 1.67247 | − | 9.48503i | 0.0672221 | − | 0.381235i | −0.932573 | − | 0.360982i | \(-0.882442\pi\) |
0.999795 | − | 0.0202534i | \(-0.00644731\pi\) | |||||||
\(620\) | −7.67733 | −0.308329 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −47.1311 | −1.88978 | ||||||||
\(623\) | 14.2824 | − | 80.9993i | 0.572211 | − | 3.24517i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 19.6754 | + | 7.16127i | 0.787017 | + | 0.286451i | ||||
\(626\) | 18.1866 | − | 15.2604i | 0.726882 | − | 0.609927i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 32.6663 | − | 11.8896i | 1.30353 | − | 0.474445i | ||||
\(629\) | −10.6022 | + | 18.3635i | −0.422737 | + | 0.732202i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 7.08366 | + | 12.2693i | 0.281996 | + | 0.488431i | 0.971876 | − | 0.235492i | \(-0.0756702\pi\) |
−0.689880 | + | 0.723924i | \(0.742337\pi\) | |||||||
\(632\) | −3.82205 | − | 3.20708i | −0.152033 | − | 0.127571i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −9.30513 | − | 52.7720i | −0.369554 | − | 2.09585i | ||||
\(635\) | 3.32093 | + | 18.8340i | 0.131787 | + | 0.747403i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −15.3791 | − | 12.9046i | −0.609341 | − | 0.511298i | ||||
\(638\) | 13.1465 | + | 22.7704i | 0.520476 | + | 0.901490i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 8.77695 | − | 15.2021i | 0.346939 | − | 0.600917i | ||||
\(641\) | −20.8620 | + | 7.59316i | −0.824001 | + | 0.299912i | −0.719394 | − | 0.694602i | \(-0.755581\pi\) |
−0.104606 | + | 0.994514i | \(0.533358\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 16.4981 | − | 13.8436i | 0.650623 | − | 0.545938i | −0.256637 | − | 0.966508i | \(-0.582614\pi\) |
0.907260 | + | 0.420570i | \(0.138170\pi\) | |||||||
\(644\) | 49.3292 | + | 17.9544i | 1.94384 | + | 0.707502i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1.60311 | − | 9.09168i | 0.0630735 | − | 0.357707i | ||||
\(647\) | 13.4037 | 0.526952 | 0.263476 | − | 0.964666i | \(-0.415131\pi\) | ||||
0.263476 | + | 0.964666i | \(0.415131\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.08823 | 0.0427168 | ||||||||
\(650\) | −0.319131 | + | 1.80988i | −0.0125174 | + | 0.0709895i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 2.82079 | + | 1.02668i | 0.110471 | + | 0.0402080i | ||||
\(653\) | −14.4866 | + | 12.1557i | −0.566903 | + | 0.475688i | −0.880617 | − | 0.473830i | \(-0.842871\pi\) |
0.313714 | + | 0.949518i | \(0.398427\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −29.8504 | + | 10.8647i | −1.16635 | + | 0.424518i | ||||
\(656\) | 3.05455 | − | 5.29063i | 0.119260 | − | 0.206564i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 37.0059 | + | 64.0962i | 1.44264 | + | 2.49873i | ||||
\(659\) | −0.0215882 | − | 0.0181147i | −0.000840958 | − | 0.000705648i | 0.642367 | − | 0.766397i | \(-0.277952\pi\) |
−0.643208 | + | 0.765692i | \(0.722397\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −7.82141 | − | 44.3574i | −0.304218 | − | 1.72530i | −0.627164 | − | 0.778887i | \(-0.715784\pi\) |
0.322946 | − | 0.946417i | \(-0.395327\pi\) | |||||||
\(662\) | 9.65533 | + | 54.7581i | 0.375265 | + | 2.12823i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 7.09691 | + | 5.95502i | 0.275414 | + | 0.231099i | ||||
\(665\) | −9.22800 | − | 15.9834i | −0.357846 | − | 0.619808i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 6.41623 | − | 11.1132i | 0.248438 | − | 0.430306i | ||||
\(668\) | 56.5862 | − | 20.5957i | 2.18938 | − | 0.796871i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 13.9268 | − | 11.6860i | 0.538041 | − | 0.451470i | ||||
\(671\) | 17.3735 | + | 6.32343i | 0.670696 | + | 0.244113i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1.69475 | + | 9.61142i | −0.0653279 | + | 0.370493i | 0.934564 | + | 0.355795i | \(0.115790\pi\) |
−0.999892 | + | 0.0146980i | \(0.995321\pi\) | |||||||
\(674\) | −23.2607 | −0.895968 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −28.9847 | −1.11480 | ||||||||
\(677\) | 7.09887 | − | 40.2597i | 0.272832 | − | 1.54731i | −0.472934 | − | 0.881098i | \(-0.656805\pi\) |
0.745766 | − | 0.666208i | \(-0.232084\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 23.2815 | + | 8.47376i | 0.893460 | + | 0.325193i | ||||
\(680\) | 4.10964 | − | 3.44840i | 0.157598 | − | 0.132240i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 12.2101 | − | 4.44413i | 0.467551 | − | 0.170175i | ||||
\(683\) | 22.0126 | − | 38.1269i | 0.842287 | − | 1.45888i | −0.0456696 | − | 0.998957i | \(-0.514542\pi\) |
0.887957 | − | 0.459927i | \(-0.152125\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −3.77322 | − | 6.53541i | −0.144167 | − | 0.249705i | ||||
\(686\) | −75.0594 | − | 62.9823i | −2.86578 | − | 2.40468i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 2.57397 | + | 14.5977i | 0.0981316 | + | 0.556532i | ||||
\(689\) | 1.33622 | + | 7.57808i | 0.0509059 | + | 0.288702i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 16.5095 | + | 13.8531i | 0.628051 | + | 0.526997i | 0.900323 | − | 0.435223i | \(-0.143331\pi\) |
−0.272272 | + | 0.962220i | \(0.587775\pi\) | |||||||
\(692\) | 11.4970 | + | 19.9133i | 0.437049 | + | 0.756991i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 3.73302 | − | 6.46577i | 0.141703 | − | 0.245437i | ||||
\(695\) | 25.8348 | − | 9.40311i | 0.979971 | − | 0.356680i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 4.09302 | − | 3.43445i | 0.155034 | − | 0.130089i | ||||
\(698\) | −58.3024 | − | 21.2203i | −2.20678 | − | 0.803202i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −1.50645 | + | 8.54352i | −0.0569386 | + | 0.322915i | ||||
\(701\) | −12.8521 | −0.485419 | −0.242709 | − | 0.970099i | \(-0.578036\pi\) | ||||
−0.242709 | + | 0.970099i | \(0.578036\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −16.4889 | −0.621891 | ||||||||
\(704\) | −8.25521 | + | 46.8176i | −0.311130 | + | 1.76451i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −50.0752 | − | 18.2259i | −1.88461 | − | 0.685940i | ||||
\(707\) | 69.0112 | − | 57.9073i | 2.59543 | − | 2.17783i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 46.7137 | − | 17.0024i | 1.75437 | − | 0.638539i | 0.754528 | − | 0.656268i | \(-0.227866\pi\) |
0.999843 | + | 0.0177295i | \(0.00564379\pi\) | |||||||
\(710\) | −6.78937 | + | 11.7595i | −0.254800 | + | 0.441327i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 9.29562 | + | 16.1005i | 0.348368 | + | 0.603392i | ||||
\(713\) | −4.85801 | − | 4.07635i | −0.181934 | − | 0.152661i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.81456 | + | 10.2909i | 0.0678607 | + | 0.384857i | ||||
\(716\) | 4.63099 | + | 26.2637i | 0.173068 | + | 0.981519i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −6.84883 | − | 5.74685i | −0.255596 | − | 0.214471i | ||||
\(719\) | 2.81873 | + | 4.88218i | 0.105121 | + | 0.182075i | 0.913788 | − | 0.406192i | \(-0.133144\pi\) |
−0.808667 | + | 0.588267i | \(0.799810\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −21.8330 | + | 37.8159i | −0.813104 | + | 1.40834i | ||||
\(722\) | −31.1946 | + | 11.3539i | −1.16094 | + | 0.422549i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −2.81930 | + | 2.36568i | −0.104779 | + | 0.0879196i | ||||
\(725\) | 1.99279 | + | 0.725318i | 0.0740105 | + | 0.0269376i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −7.88611 | + | 44.7243i | −0.292480 | + | 1.65873i | 0.384794 | + | 0.923002i | \(0.374272\pi\) |
−0.677273 | + | 0.735731i | \(0.736839\pi\) | |||||||
\(728\) | 6.46195 | 0.239496 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 56.1546 | 2.07837 | ||||||||
\(731\) | −2.25121 | + | 12.7673i | −0.0832641 | + | 0.472214i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 24.1190 | + | 8.77858i | 0.890854 | + | 0.324244i | 0.746582 | − | 0.665294i | \(-0.231694\pi\) |
0.144272 | + | 0.989538i | \(0.453916\pi\) | |||||||
\(734\) | −28.4822 | + | 23.8994i | −1.05130 | + | 0.882143i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 32.0889 | − | 11.6794i | 1.18281 | − | 0.430508i | ||||
\(737\) | −8.57098 | + | 14.8454i | −0.315716 | + | 0.546837i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 7.22763 | + | 12.5186i | 0.265873 | + | 0.460505i | 0.967792 | − | 0.251752i | \(-0.0810066\pi\) |
−0.701919 | + | 0.712256i | \(0.747673\pi\) | |||||||
\(740\) | −35.8041 | − | 30.0432i | −1.31619 | − | 1.10441i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 11.3221 | + | 64.2107i | 0.415647 | + | 2.35725i | ||||
\(743\) | 6.04187 | + | 34.2651i | 0.221655 | + | 1.25707i | 0.868978 | + | 0.494851i | \(0.164777\pi\) |
−0.647323 | + | 0.762215i | \(0.724112\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −14.1367 | − | 11.8621i | −0.517928 | − | 0.434593i | ||||
\(746\) | −31.5084 | − | 54.5742i | −1.15360 | − | 1.99810i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −12.3371 | + | 21.3685i | −0.451089 | + | 0.781308i | ||||
\(749\) | −33.8385 | + | 12.3162i | −1.23643 | + | 0.450024i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 13.8795 | − | 11.6463i | 0.506471 | − | 0.424980i | −0.353414 | − | 0.935467i | \(-0.614979\pi\) |
0.859885 | + | 0.510487i | \(0.170535\pi\) | |||||||
\(752\) | 18.2418 | + | 6.63946i | 0.665209 | + | 0.242116i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 1.33800 | − | 7.58816i | 0.0487270 | − | 0.276345i | ||||
\(755\) | 1.47535 | 0.0536933 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −37.0045 | −1.34495 | −0.672475 | − | 0.740120i | \(-0.734769\pi\) | ||||
−0.672475 | + | 0.740120i | \(0.734769\pi\) | |||||||
\(758\) | −7.73156 | + | 43.8479i | −0.280823 | + | 1.59263i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 3.92014 | + | 1.42682i | 0.142199 | + | 0.0517560i | ||||
\(761\) | −9.53298 | + | 7.99912i | −0.345570 | + | 0.289968i | −0.799008 | − | 0.601320i | \(-0.794642\pi\) |
0.453438 | + | 0.891288i | \(0.350197\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 25.6242 | − | 9.32646i | 0.927660 | − | 0.337641i | ||||
\(764\) | −15.6257 | + | 27.0644i | −0.565316 | + | 0.979156i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 10.5155 | + | 18.2133i | 0.379939 | + | 0.658074i | ||||
\(767\) | −0.244298 | − | 0.204990i | −0.00882108 | − | 0.00740177i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −7.09970 | − | 40.2644i | −0.256022 | − | 1.45197i | −0.793436 | − | 0.608654i | \(-0.791710\pi\) |
0.537414 | − | 0.843318i | \(-0.319401\pi\) | |||||||
\(770\) | 15.3752 | + | 87.1970i | 0.554083 | + | 3.14236i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 40.0338 | + | 33.5923i | 1.44085 | + | 1.20901i | ||||
\(773\) | 18.2081 | + | 31.5374i | 0.654900 | + | 1.13432i | 0.981919 | + | 0.189302i | \(0.0606226\pi\) |
−0.327019 | + | 0.945018i | \(0.606044\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.524012 | − | 0.907615i | 0.0188231 | − | 0.0326025i | ||||
\(776\) | −5.26246 | + | 1.91538i | −0.188911 | + | 0.0687581i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 34.3720 | − | 28.8415i | 1.23230 | − | 1.03402i | ||||
\(779\) |