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 | \(3.10658i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.163 |
Dual form | 729.2.e.l.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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.99687 | + | 0.726803i | −1.41200 | + | 0.513927i | −0.931717 | − | 0.363185i | \(-0.881689\pi\) |
−0.480286 | + | 0.877112i | \(0.659467\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.92717 | − | 1.61709i | 0.963587 | − | 0.808546i | ||||
\(5\) | 0.359615 | + | 2.03948i | 0.160825 | + | 0.912082i | 0.953266 | + | 0.302134i | \(0.0976989\pi\) |
−0.792441 | + | 0.609949i | \(0.791190\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.71430 | + | 3.11667i | 1.40387 | + | 1.17799i | 0.959349 | + | 0.282222i | \(0.0910716\pi\) |
0.444524 | + | 0.895767i | \(0.353373\pi\) | |||||||
\(8\) | −0.547989 | + | 0.949144i | −0.193743 | + | 0.335573i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.20040 | − | 3.81121i | −0.695829 | − | 1.20521i | ||||
\(11\) | −0.720551 | + | 4.08645i | −0.217254 | + | 1.23211i | 0.659697 | + | 0.751532i | \(0.270685\pi\) |
−0.876951 | + | 0.480579i | \(0.840427\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.14268 | + | 0.415902i | 0.316923 | + | 0.115350i | 0.495583 | − | 0.868560i | \(-0.334954\pi\) |
−0.178661 | + | 0.983911i | \(0.557176\pi\) | |||||||
\(14\) | −9.68219 | − | 3.52403i | −2.58767 | − | 0.941836i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.469286 | + | 2.66145i | −0.117322 | + | 0.665363i | ||||
\(17\) | 1.18182 | + | 2.04697i | 0.286633 | + | 0.496463i | 0.973004 | − | 0.230789i | \(-0.0741306\pi\) |
−0.686371 | + | 0.727252i | \(0.740797\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.919003 | − | 1.59176i | 0.210834 | − | 0.365175i | −0.741142 | − | 0.671348i | \(-0.765715\pi\) |
0.951976 | + | 0.306174i | \(0.0990488\pi\) | |||||||
\(20\) | 3.99106 | + | 3.34890i | 0.892429 | + | 0.748837i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.53119 | − | 8.68382i | −0.326451 | − | 1.85140i | ||||
\(23\) | 3.29673 | − | 2.76628i | 0.687415 | − | 0.576809i | −0.230748 | − | 0.973014i | \(-0.574117\pi\) |
0.918162 | + | 0.396204i | \(0.129673\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.668315 | − | 0.243247i | 0.133663 | − | 0.0486494i | ||||
\(26\) | −2.58407 | −0.506777 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 12.1980 | 2.30521 | ||||||||
\(29\) | 2.80199 | − | 1.01984i | 0.520317 | − | 0.189380i | −0.0684925 | − | 0.997652i | \(-0.521819\pi\) |
0.588810 | + | 0.808272i | \(0.299597\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.12883 | − | 0.947203i | 0.202744 | − | 0.170123i | −0.535762 | − | 0.844369i | \(-0.679976\pi\) |
0.738507 | + | 0.674246i | \(0.235531\pi\) | |||||||
\(32\) | −1.37788 | − | 7.81432i | −0.243576 | − | 1.38139i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.84769 | − | 3.22859i | −0.659873 | − | 0.553699i | ||||
\(35\) | −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 | \(-0.430622\pi\) | |||||||
\(38\) | −0.678238 | + | 3.84648i | −0.110025 | + | 0.623981i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.13282 | − | 0.776284i | −0.337229 | − | 0.122741i | ||||
\(41\) | 2.12420 | + | 0.773145i | 0.331744 | + | 0.120745i | 0.502522 | − | 0.864565i | \(-0.332406\pi\) |
−0.170778 | + | 0.985310i | \(0.554628\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.952435 | + | 5.40153i | −0.145245 | + | 0.823726i | 0.821925 | + | 0.569596i | \(0.192900\pi\) |
−0.967170 | + | 0.254130i | \(0.918211\pi\) | |||||||
\(44\) | 5.21953 | + | 9.04050i | 0.786874 | + | 1.36291i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.57260 | + | 7.91998i | −0.674194 | + | 1.16774i | ||||
\(47\) | −5.50260 | − | 4.61723i | −0.802636 | − | 0.673492i | 0.146202 | − | 0.989255i | \(-0.453295\pi\) |
−0.948838 | + | 0.315763i | \(0.897740\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.86687 | + | 16.2588i | 0.409552 | + | 2.32269i | ||||
\(50\) | −1.15775 | + | 0.971466i | −0.163730 | + | 0.137386i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.87470 | − | 1.04630i | 0.398649 | − | 0.145096i | ||||
\(53\) | 6.32803 | 0.869222 | 0.434611 | − | 0.900618i | \(-0.356886\pi\) | ||||
0.434611 | + | 0.900618i | \(0.356886\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −8.59334 | −1.15873 | ||||||||
\(56\) | −4.99356 | + | 1.81751i | −0.667293 | + | 0.242875i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.85400 | + | 4.07299i | −0.637362 | + | 0.534810i | ||||
\(59\) | −0.0455404 | − | 0.258272i | −0.00592886 | − | 0.0336242i | 0.981700 | − | 0.190435i | \(-0.0609898\pi\) |
−0.987629 | + | 0.156811i | \(0.949879\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.41319 | − | 2.86401i | −0.437014 | − | 0.366699i | 0.397576 | − | 0.917569i | \(-0.369851\pi\) |
−0.834591 | + | 0.550870i | \(0.814296\pi\) | |||||||
\(62\) | −1.56571 | + | 2.71188i | −0.198845 | + | 0.344410i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 5.72840 | + | 9.92188i | 0.716050 | + | 1.24024i | ||||
\(65\) | −0.437297 | + | 2.48004i | −0.0542401 | + | 0.307611i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.88197 | − | 1.41292i | −0.474258 | − | 0.172616i | 0.0938223 | − | 0.995589i | \(-0.470091\pi\) |
−0.568080 | + | 0.822973i | \(0.692314\pi\) | |||||||
\(68\) | 5.58771 | + | 2.03376i | 0.677609 | + | 0.246630i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 3.70532 | − | 21.0139i | 0.442870 | − | 2.51164i | ||||
\(71\) | 1.54276 | + | 2.67213i | 0.183091 | + | 0.317124i | 0.942932 | − | 0.332986i | \(-0.108056\pi\) |
−0.759840 | + | 0.650110i | \(0.774723\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.38003 | + | 11.0505i | −0.746726 | + | 1.29337i | 0.202658 | + | 0.979250i | \(0.435042\pi\) |
−0.949384 | + | 0.314118i | \(0.898291\pi\) | |||||||
\(74\) | 14.6037 | + | 12.2540i | 1.69765 | + | 1.42450i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.802942 | − | 4.55371i | −0.0921038 | − | 0.522346i | ||||
\(77\) | −15.4124 | + | 12.9326i | −1.75641 | + | 1.47380i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.27786 | + | 1.55701i | −0.481297 | + | 0.175178i | −0.571263 | − | 0.820767i | \(-0.693546\pi\) |
0.0899659 | + | 0.995945i | \(0.471324\pi\) | |||||||
\(80\) | −5.59674 | −0.625734 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.80368 | −0.530478 | ||||||||
\(83\) | −7.94328 | + | 2.89112i | −0.871888 | + | 0.317341i | −0.738931 | − | 0.673781i | \(-0.764669\pi\) |
−0.132956 | + | 0.991122i | \(0.542447\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.74975 | + | 3.14642i | −0.406718 | + | 0.341277i | ||||
\(86\) | −2.02395 | − | 11.4784i | −0.218248 | − | 1.23775i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −3.48378 | − | 2.92323i | −0.371372 | − | 0.311618i | ||||
\(89\) | 8.48158 | − | 14.6905i | 0.899046 | − | 1.55719i | 0.0703304 | − | 0.997524i | \(-0.477595\pi\) |
0.828716 | − | 0.559670i | \(-0.189072\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.94803 | + | 5.10614i | 0.309038 | + | 0.535269i | ||||
\(92\) | 1.88004 | − | 10.6622i | 0.196007 | − | 1.11161i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 14.3438 | + | 5.22072i | 1.47945 | + | 0.538476i | ||||
\(95\) | 3.57685 | + | 1.30187i | 0.366977 | + | 0.133569i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.887302 | + | 5.03214i | −0.0900919 | + | 0.510937i | 0.906049 | + | 0.423172i | \(0.139083\pi\) |
−0.996141 | + | 0.0877646i | \(0.972028\pi\) | |||||||
\(98\) | −17.5417 | − | 30.3831i | −1.77198 | − | 3.06916i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.894607 | − | 1.54951i | 0.0894607 | − | 0.154951i | ||||
\(101\) | −14.2330 | − | 11.9429i | −1.41624 | − | 1.18836i | −0.953319 | − | 0.301964i | \(-0.902358\pi\) |
−0.462918 | − | 0.886401i | \(-0.653198\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.56384 | + | 8.86895i | 0.154089 | + | 0.873884i | 0.959614 | + | 0.281321i | \(0.0907726\pi\) |
−0.805524 | + | 0.592563i | \(0.798116\pi\) | |||||||
\(104\) | −1.02093 | + | 0.856659i | −0.100110 | + | 0.0840024i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −12.6363 | + | 4.59923i | −1.22734 | + | 0.446717i | ||||
\(107\) | −7.42680 | −0.717976 | −0.358988 | − | 0.933342i | \(-0.616878\pi\) | ||||
−0.358988 | + | 0.933342i | \(0.616878\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.62396 | −0.538678 | −0.269339 | − | 0.963045i | \(-0.586805\pi\) | ||||
−0.269339 | + | 0.963045i | \(0.586805\pi\) | |||||||
\(110\) | 17.1598 | − | 6.24567i | 1.63612 | − | 0.595501i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −10.0379 | + | 8.42283i | −0.948495 | + | 0.795882i | ||||
\(113\) | 0.417219 | + | 2.36617i | 0.0392487 | + | 0.222590i | 0.998123 | − | 0.0612406i | \(-0.0195057\pi\) |
−0.958874 | + | 0.283831i | \(0.908395\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 6.82732 | + | 5.72880i | 0.636651 | + | 0.534214i | ||||
\(116\) | 3.75075 | − | 6.49649i | 0.348249 | − | 0.603184i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.278652 | + | 0.482639i | 0.0256520 | + | 0.0444305i | ||||
\(119\) | −1.99010 | + | 11.2864i | −0.182432 | + | 1.03462i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.84325 | − | 2.12677i | −0.531205 | − | 0.193343i | ||||
\(122\) | 8.89728 | + | 3.23835i | 0.805522 | + | 0.293186i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.643744 | − | 3.65085i | 0.0578099 | − | 0.327856i | ||||
\(125\) | 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 | \(0.0322919\pi\) | |||||||
\(128\) | −6.49322 | − | 5.44846i | −0.573925 | − | 0.481580i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.929269 | − | 5.27015i | −0.0815023 | − | 0.462223i | ||||
\(131\) | 11.7504 | − | 9.85972i | 1.02663 | − | 0.861448i | 0.0361871 | − | 0.999345i | \(-0.488479\pi\) |
0.990447 | + | 0.137897i | \(0.0440343\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 8.37444 | − | 3.04805i | 0.726156 | − | 0.264299i | ||||
\(134\) | 8.77871 | 0.758365 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.59049 | −0.222133 | ||||||||
\(137\) | −3.42421 | + | 1.24631i | −0.292550 | + | 0.106480i | −0.484126 | − | 0.874998i | \(-0.660862\pi\) |
0.191576 | + | 0.981478i | \(0.438640\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 10.1697 | − | 8.53335i | 0.862579 | − | 0.723789i | −0.0999433 | − | 0.994993i | \(-0.531866\pi\) |
0.962522 | + | 0.271204i | \(0.0874217\pi\) | |||||||
\(140\) | 4.38660 | + | 24.8776i | 0.370735 | + | 2.10254i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −5.02280 | − | 4.21463i | −0.421504 | − | 0.353684i | ||||
\(143\) | −2.52292 | + | 4.36983i | −0.210977 | + | 0.365423i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.08759 | + | 5.34786i | 0.256410 | + | 0.444115i | ||||
\(146\) | 4.70856 | − | 26.7036i | 0.389683 | − | 2.21000i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −21.2079 | − | 7.71904i | −1.74328 | − | 0.634501i | ||||
\(149\) | 8.37359 | + | 3.04774i | 0.685991 | + | 0.249680i | 0.661418 | − | 0.750018i | \(-0.269955\pi\) |
0.0245732 | + | 0.999698i | \(0.492177\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.123708 | + | 0.701581i | −0.0100672 | + | 0.0570938i | −0.989428 | − | 0.145028i | \(-0.953673\pi\) |
0.979360 | + | 0.202122i | \(0.0647838\pi\) | |||||||
\(152\) | 1.00721 | + | 1.74453i | 0.0816953 | + | 0.141500i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 21.3773 | − | 37.0265i | 1.72263 | − | 2.98368i | ||||
\(155\) | 2.33775 | + | 1.96160i | 0.187772 | + | 0.157560i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.39948 | − | 13.6081i | −0.191499 | − | 1.08605i | −0.917316 | − | 0.398159i | \(-0.869649\pi\) |
0.725817 | − | 0.687888i | \(-0.241462\pi\) | |||||||
\(158\) | 7.41071 | − | 6.21832i | 0.589564 | − | 0.494703i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 15.4416 | − | 5.62029i | 1.22077 | − | 0.444323i | ||||
\(161\) | 20.8666 | 1.64452 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.19321 | −0.0934597 | −0.0467298 | − | 0.998908i | \(-0.514880\pi\) | ||||
−0.0467298 | + | 0.998908i | \(0.514880\pi\) | |||||||
\(164\) | 5.34395 | − | 1.94504i | 0.417292 | − | 0.151882i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 13.7604 | − | 11.5464i | 1.06802 | − | 0.896173i | ||||
\(167\) | 4.15650 | + | 23.5727i | 0.321640 | + | 1.82411i | 0.532308 | + | 0.846551i | \(0.321325\pi\) |
−0.210669 | + | 0.977558i | \(0.567564\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −8.82583 | − | 7.40575i | −0.678910 | − | 0.569673i | ||||
\(170\) | 5.20096 | − | 9.00832i | 0.398895 | − | 0.690907i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 6.89926 | + | 11.9499i | 0.526063 | + | 0.911169i | ||||
\(173\) | 1.58714 | − | 9.00115i | 0.120668 | − | 0.684344i | −0.863118 | − | 0.505002i | \(-0.831492\pi\) |
0.983787 | − | 0.179343i | \(-0.0573971\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 3.24044 | + | 1.17942i | 0.244954 | + | 0.0891561i | ||||
\(176\) | −10.5377 | − | 3.83543i | −0.794313 | − | 0.289106i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −6.25953 | + | 35.4996i | −0.469172 | + | 2.66081i | ||||
\(179\) | 5.30038 | + | 9.18052i | 0.396169 | + | 0.686184i | 0.993250 | − | 0.115997i | \(-0.0370062\pi\) |
−0.597081 | + | 0.802181i | \(0.703673\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.731460 | − | 1.26693i | 0.0543690 | − | 0.0941699i | −0.837560 | − | 0.546345i | \(-0.816019\pi\) |
0.891929 | + | 0.452176i | \(0.149352\pi\) | |||||||
\(182\) | −9.59800 | − | 8.05368i | −0.711451 | − | 0.596978i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.819031 | + | 4.64496i | 0.0603798 | + | 0.342431i | ||||
\(185\) | 14.2320 | − | 11.9421i | 1.04636 | − | 0.877999i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −9.21640 | + | 3.35450i | −0.673970 | + | 0.245305i | ||||
\(188\) | −18.0709 | −1.31796 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −8.08871 | −0.586817 | ||||||||
\(191\) | 11.6731 | − | 4.24867i | 0.844637 | − | 0.307423i | 0.116785 | − | 0.993157i | \(-0.462741\pi\) |
0.727852 | + | 0.685734i | \(0.240519\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 15.9133 | − | 13.3528i | 1.14546 | − | 0.961157i | 0.145859 | − | 0.989305i | \(-0.453406\pi\) |
0.999604 | + | 0.0281484i | \(0.00896109\pi\) | |||||||
\(194\) | −1.88554 | − | 10.6934i | −0.135374 | − | 0.767745i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 31.8169 | + | 26.6976i | 2.27264 | + | 1.90697i | ||||
\(197\) | −7.09433 | + | 12.2877i | −0.505450 | + | 0.875465i | 0.494530 | + | 0.869161i | \(0.335340\pi\) |
−0.999980 | + | 0.00630469i | \(0.997993\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −10.1643 | − | 17.6051i | −0.720529 | − | 1.24799i | −0.960788 | − | 0.277284i | \(-0.910566\pi\) |
0.240259 | − | 0.970709i | \(-0.422768\pi\) | |||||||
\(200\) | −0.135353 | + | 0.767624i | −0.00957089 | + | 0.0542792i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 37.1017 | + | 13.5039i | 2.61046 | + | 0.950132i | ||||
\(203\) | 13.5860 | + | 4.94488i | 0.953547 | + | 0.347063i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.812919 | + | 4.61029i | −0.0567767 | + | 0.321997i | ||||
\(206\) | −9.56876 | − | 16.5736i | −0.666687 | − | 1.15474i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.64315 | + | 2.84601i | −0.113932 | + | 0.197336i | ||||
\(209\) | 5.84246 | + | 4.90240i | 0.404131 | + | 0.339106i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.71275 | − | 9.71347i | −0.117910 | − | 0.668703i | −0.985268 | − | 0.171018i | \(-0.945294\pi\) |
0.867358 | − | 0.497685i | \(-0.165817\pi\) | |||||||
\(212\) | 12.1952 | − | 10.2330i | 0.837571 | − | 0.702805i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 14.8304 | − | 5.39782i | 1.01378 | − | 0.368987i | ||||
\(215\) | −11.3588 | −0.774665 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 7.14494 | 0.485030 | ||||||||
\(218\) | 11.2303 | − | 4.08751i | 0.760615 | − | 0.276841i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −16.5609 | + | 13.8962i | −1.11653 | + | 0.936883i | ||||
\(221\) | 0.499103 | + | 2.83055i | 0.0335733 | + | 0.190404i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 11.5453 | + | 9.68770i | 0.773134 | + | 0.648736i | 0.941509 | − | 0.336987i | \(-0.109408\pi\) |
−0.168376 | + | 0.985723i | \(0.553852\pi\) | |||||||
\(224\) | 19.2368 | − | 33.3191i | 1.28531 | − | 2.22623i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.55287 | − | 4.42170i | −0.169814 | − | 0.294127i | ||||
\(227\) | 3.94052 | − | 22.3478i | 0.261542 | − | 1.48328i | −0.517164 | − | 0.855886i | \(-0.673012\pi\) |
0.778705 | − | 0.627390i | \(-0.215877\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −8.19102 | − | 2.98129i | −0.541278 | − | 0.197009i | 0.0568892 | − | 0.998381i | \(-0.481882\pi\) |
−0.598167 | + | 0.801371i | \(0.704104\pi\) | |||||||
\(230\) | −17.7970 | − | 6.47758i | −1.17350 | − | 0.427119i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.567483 | + | 3.21836i | −0.0372571 | + | 0.211296i | ||||
\(233\) | −11.7945 | − | 20.4286i | −0.772682 | − | 1.33832i | −0.936088 | − | 0.351766i | \(-0.885581\pi\) |
0.163406 | − | 0.986559i | \(-0.447752\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 7.43792 | − | 12.8829i | 0.485196 | − | 0.840385i | ||||
\(236\) | −0.505414 | − | 0.424093i | −0.0328997 | − | 0.0276061i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −4.22901 | − | 23.9839i | −0.274126 | − | 1.55465i | ||||
\(239\) | −7.62560 | + | 6.39864i | −0.493259 | + | 0.413894i | −0.855193 | − | 0.518310i | \(-0.826561\pi\) |
0.361933 | + | 0.932204i | \(0.382117\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −5.36889 | + | 1.95411i | −0.345840 | + | 0.125876i | −0.509100 | − | 0.860708i | \(-0.670022\pi\) |
0.163259 | + | 0.986583i | \(0.447799\pi\) | |||||||
\(242\) | 13.2140 | 0.849427 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −11.2092 | −0.717594 | ||||||||
\(245\) | −32.1285 | + | 11.6938i | −2.05262 | + | 0.747091i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.71214 | − | 1.43666i | 0.108941 | − | 0.0914124i | ||||
\(248\) | 0.280445 | + | 1.59048i | 0.0178083 | + | 0.100996i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −19.2537 | − | 16.1558i | −1.21771 | − | 1.02178i | ||||
\(251\) | −3.64483 | + | 6.31303i | −0.230060 | + | 0.398475i | −0.957825 | − | 0.287351i | \(-0.907226\pi\) |
0.727766 | + | 0.685826i | \(0.240559\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 8.92881 | + | 15.4651i | 0.561349 | + | 0.972285i | ||||
\(254\) | −3.40767 | + | 19.3259i | −0.213816 | + | 1.21261i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −4.60565 | − | 1.67632i | −0.287853 | − | 0.104770i | ||||
\(257\) | −21.8413 | − | 7.94960i | −1.36243 | − | 0.495882i | −0.445622 | − | 0.895221i | \(-0.647018\pi\) |
−0.916803 | + | 0.399339i | \(0.869240\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 7.55332 | − | 42.8370i | 0.469340 | − | 2.66176i | ||||
\(260\) | 3.16770 | + | 5.48661i | 0.196452 | + | 0.340265i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −16.2979 | + | 28.2288i | −1.00689 | + | 1.74398i | ||||
\(263\) | 20.9893 | + | 17.6121i | 1.29426 | + | 1.08601i | 0.991107 | + | 0.133067i | \(0.0424827\pi\) |
0.303150 | + | 0.952943i | \(0.401962\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.27565 | + | 12.9059i | 0.139792 | + | 0.792802i | ||||
\(266\) | −14.5074 | + | 12.1731i | −0.889504 | + | 0.746382i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −9.76605 | + | 3.55455i | −0.596556 | + | 0.217129i | ||||
\(269\) | −9.41973 | −0.574331 | −0.287166 | − | 0.957881i | \(-0.592713\pi\) | ||||
−0.287166 | + | 0.957881i | \(0.592713\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 26.2797 | 1.59638 | 0.798189 | − | 0.602408i | \(-0.205792\pi\) | ||||
0.798189 | + | 0.602408i | \(0.205792\pi\) | |||||||
\(272\) | −6.00253 | + | 2.18474i | −0.363957 | + | 0.132469i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 5.93190 | − | 4.97745i | 0.358359 | − | 0.300699i | ||||
\(275\) | 0.512460 | + | 2.90631i | 0.0309025 | + | 0.175257i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.287123 | + | 0.240924i | 0.0172515 | + | 0.0144757i | 0.651373 | − | 0.758758i | \(-0.274193\pi\) |
−0.634121 | + | 0.773234i | \(0.718638\pi\) | |||||||
\(278\) | −14.1054 | + | 24.4314i | −0.845989 | + | 1.46530i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −5.50253 | − | 9.53065i | −0.328839 | − | 0.569566i | ||||
\(281\) | −2.42788 | + | 13.7692i | −0.144835 | + | 0.821400i | 0.822665 | + | 0.568527i | \(0.192487\pi\) |
−0.967500 | + | 0.252873i | \(0.918625\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −14.6234 | − | 5.32248i | −0.869270 | − | 0.316389i | −0.131399 | − | 0.991330i | \(-0.541947\pi\) |
−0.737872 | + | 0.674941i | \(0.764169\pi\) | |||||||
\(284\) | 7.29424 | + | 2.65488i | 0.432833 | + | 0.157538i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.86195 | − | 10.5597i | 0.110100 | − | 0.624406i | ||||
\(287\) | 5.48027 | + | 9.49211i | 0.323490 | + | 0.560301i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 5.70661 | − | 9.88413i | 0.335683 | − | 0.581420i | ||||
\(290\) | −10.0524 | − | 8.43493i | −0.590295 | − | 0.495316i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 5.57430 | + | 31.6134i | 0.326211 | + | 1.85003i | ||||
\(293\) | −18.8633 | + | 15.8281i | −1.10200 | + | 0.924690i | −0.997558 | − | 0.0698405i | \(-0.977751\pi\) |
−0.104445 | + | 0.994531i | \(0.533307\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.510364 | − | 0.185757i | 0.0297145 | − | 0.0108152i | ||||
\(296\) | 9.83210 | 0.571479 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −18.9361 | −1.09694 | ||||||||
\(299\) | 4.91760 | − | 1.78986i | 0.284392 | − | 0.103510i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −20.3724 | + | 17.0945i | −1.17425 | + | 0.985309i | ||||
\(302\) | −0.262882 | − | 1.49088i | −0.0151272 | − | 0.0857904i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 3.80512 | + | 3.19288i | 0.218239 | + | 0.183124i | ||||
\(305\) | 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 | \(0.635646\pi\) | |||||||
\(308\) | −8.78931 | + | 49.8466i | −0.500817 | + | 2.84028i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −6.09388 | − | 2.21799i | −0.346109 | − | 0.125973i | ||||
\(311\) | 20.8415 | + | 7.58567i | 1.18181 | + | 0.430144i | 0.856841 | − | 0.515580i | \(-0.172424\pi\) |
0.324970 | + | 0.945724i | \(0.394646\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.94000 | + | 11.0023i | −0.109656 | + | 0.621887i | 0.879603 | + | 0.475709i | \(0.157808\pi\) |
−0.989258 | + | 0.146178i | \(0.953303\pi\) | |||||||
\(314\) | 14.6819 | + | 25.4298i | 0.828547 | + | 1.43508i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −5.72635 | + | 9.91833i | −0.322132 | + | 0.557950i | ||||
\(317\) | −19.3171 | − | 16.2090i | −1.08496 | − | 0.910386i | −0.0886327 | − | 0.996064i | \(-0.528250\pi\) |
−0.996323 | + | 0.0856786i | \(0.972694\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.14855 | + | 12.1851i | 0.120296 | + | 0.682232i | ||||
\(320\) | −18.1754 | + | 15.2510i | −1.01604 | + | 0.852557i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −41.6680 | + | 15.1659i | −2.32206 | + | 0.845162i | ||||
\(323\) | 4.34438 | 0.241728 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.864837 | 0.0479725 | ||||||||
\(326\) | 2.38270 | − | 0.867231i | 0.131965 | − | 0.0480315i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −1.89786 | + | 1.59250i | −0.104792 | + | 0.0879309i | ||||
\(329\) | −6.04793 | − | 34.2995i | −0.333433 | − | 1.89099i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −20.0441 | − | 16.8190i | −1.10172 | − | 0.924455i | −0.104183 | − | 0.994558i | \(-0.533223\pi\) |
−0.997540 | + | 0.0701033i | \(0.977667\pi\) | |||||||
\(332\) | −10.6329 | + | 18.4167i | −0.583555 | + | 1.01075i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −25.4327 | − | 44.0507i | −1.39161 | − | 2.41035i | ||||
\(335\) | 1.48561 | − | 8.42530i | 0.0811674 | − | 0.460323i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −10.2859 | − | 3.74377i | −0.560310 | − | 0.203936i | 0.0463114 | − | 0.998927i | \(-0.485253\pi\) |
−0.606621 | + | 0.794991i | \(0.707476\pi\) | |||||||
\(338\) | 23.0066 | + | 8.37372i | 1.25139 | + | 0.455470i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −2.13838 | + | 12.1274i | −0.115970 | + | 0.657700i | ||||
\(341\) | 3.05732 | + | 5.29543i | 0.165563 | + | 0.286763i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −23.0545 | + | 39.9316i | −1.24483 | + | 2.15611i | ||||
\(344\) | −4.60491 | − | 3.86398i | −0.248280 | − | 0.208332i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 3.37273 | + | 19.1277i | 0.181319 | + | 1.02831i | ||||
\(347\) | −2.69140 | + | 2.25836i | −0.144482 | + | 0.121235i | −0.712164 | − | 0.702013i | \(-0.752285\pi\) |
0.567682 | + | 0.823248i | \(0.307840\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 27.4361 | − | 9.98591i | 1.46862 | − | 0.534534i | 0.520894 | − | 0.853622i | \(-0.325599\pi\) |
0.947725 | + | 0.319088i | \(0.103377\pi\) | |||||||
\(350\) | −7.32796 | −0.391696 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 32.9256 | 1.75494 | ||||||||
\(353\) | −23.5645 | + | 8.57677i | −1.25421 | + | 0.456496i | −0.881823 | − | 0.471581i | \(-0.843683\pi\) |
−0.372389 | + | 0.928077i | \(0.621461\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.89495 | + | 4.10735i | −0.259797 | + | 0.217996i | ||||
\(356\) | −7.41044 | − | 42.0267i | −0.392753 | − | 2.22741i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −17.2566 | − | 14.4800i | −0.912040 | − | 0.765293i | ||||
\(359\) | 2.10362 | − | 3.64358i | 0.111025 | − | 0.192301i | −0.805159 | − | 0.593059i | \(-0.797920\pi\) |
0.916184 | + | 0.400758i | \(0.131253\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.81087 | + | 13.5288i | 0.411098 | + | 0.712043i | ||||
\(362\) | −0.539828 | + | 3.06152i | −0.0283727 | + | 0.160910i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 13.9385 | + | 5.07318i | 0.730574 | + | 0.265907i | ||||
\(365\) | −24.8317 | − | 9.03799i | −1.29975 | − | 0.473070i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.03826 | − | 17.2308i | 0.158596 | − | 0.899441i | −0.796829 | − | 0.604205i | \(-0.793491\pi\) |
0.955424 | − | 0.295236i | \(-0.0953983\pi\) | |||||||
\(368\) | 5.81522 | + | 10.0723i | 0.303139 | + | 0.525053i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −19.7400 | + | 34.1907i | −1.02623 | + | 1.77749i | ||||
\(371\) | 23.5042 | + | 19.7224i | 1.22028 | + | 1.02393i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5.14946 | − | 29.2040i | −0.266629 | − | 1.51213i | −0.764356 | − | 0.644794i | \(-0.776943\pi\) |
0.497727 | − | 0.867334i | \(-0.334168\pi\) | |||||||
\(374\) | 15.9659 | − | 13.3970i | 0.825579 | − | 0.692743i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 7.39778 | − | 2.69257i | 0.381511 | − | 0.138859i | ||||
\(377\) | 3.62594 | 0.186745 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 20.9523 | 1.07625 | 0.538124 | − | 0.842865i | \(-0.319133\pi\) | ||||
0.538124 | + | 0.842865i | \(0.319133\pi\) | |||||||
\(380\) | 8.99844 | − | 3.27517i | 0.461610 | − | 0.168012i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −20.2218 | + | 16.9681i | −1.03464 | + | 0.868164i | ||||
\(383\) | −1.71856 | − | 9.74642i | −0.0878142 | − | 0.498019i | −0.996714 | − | 0.0810039i | \(-0.974187\pi\) |
0.908900 | − | 0.417015i | \(-0.136924\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −31.9182 | − | 26.7826i | −1.62670 | − | 1.36497i | ||||
\(386\) | −22.0719 | + | 38.2297i | −1.12343 | + | 1.94584i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 6.42745 | + | 11.1327i | 0.326304 | + | 0.565175i | ||||
\(389\) | 3.66654 | − | 20.7940i | 0.185901 | − | 1.05430i | −0.738891 | − | 0.673825i | \(-0.764650\pi\) |
0.924792 | − | 0.380472i | \(-0.124239\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 9.55863 | + | 3.47906i | 0.483401 | + | 0.175943i | ||||
\(392\) | −17.0030 | − | 6.18857i | −0.858779 | − | 0.312570i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 5.23572 | − | 29.6932i | 0.263772 | − | 1.49592i | ||||
\(395\) | −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 | \(0.0877476\pi\) | |||||||
\(398\) | 33.0923 | + | 27.7677i | 1.65877 | + | 1.39187i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.333759 | + | 1.89284i | 0.0166880 | + | 0.0946421i | ||||
\(401\) | 14.6616 | − | 12.3025i | 0.732164 | − | 0.614359i | −0.198556 | − | 0.980089i | \(-0.563625\pi\) |
0.930721 | + | 0.365731i | \(0.119181\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.68384 | − | 0.612867i | 0.0838780 | − | 0.0305291i | ||||
\(404\) | −46.7423 | −2.32552 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −30.7234 | −1.52478 | ||||||||
\(407\) | 34.9804 | − | 12.7318i | 1.73392 | − | 0.631094i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 11.4873 | − | 9.63896i | 0.568009 | − | 0.476616i | −0.312976 | − | 0.949761i | \(-0.601326\pi\) |
0.880984 | + | 0.473145i | \(0.156881\pi\) | |||||||
\(410\) | −1.72748 | − | 9.79700i | −0.0853139 | − | 0.483839i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 17.3557 | + | 14.5631i | 0.855053 | + | 0.717475i | ||||
\(413\) | 0.635799 | − | 1.10124i | 0.0312856 | − | 0.0541883i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −8.75289 | − | 15.1604i | −0.429662 | − | 0.744197i | ||||
\(416\) | 1.67552 | − | 9.50233i | 0.0821490 | − | 0.465890i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −15.2297 | − | 5.54317i | −0.744911 | − | 0.271125i | ||||
\(419\) | 5.46131 | + | 1.98775i | 0.266802 | + | 0.0971081i | 0.471957 | − | 0.881621i | \(-0.343548\pi\) |
−0.205155 | + | 0.978729i | \(0.565770\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.31187 | + | 13.1113i | −0.112674 | + | 0.639003i | 0.875202 | + | 0.483757i | \(0.160728\pi\) |
−0.987876 | + | 0.155246i | \(0.950383\pi\) | |||||||
\(422\) | 10.4799 | + | 18.1518i | 0.510154 | + | 0.883613i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −3.46769 | + | 6.00621i | −0.168406 | + | 0.291687i | ||||
\(425\) | 1.28775 | + | 1.08055i | 0.0624649 | + | 0.0524143i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −3.75146 | − | 21.2756i | −0.181546 | − | 1.02960i | ||||
\(428\) | −14.3127 | + | 12.0098i | −0.691833 | + | 0.580516i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 22.6821 | − | 8.25561i | 1.09383 | − | 0.398121i | ||||
\(431\) | 36.4166 | 1.75413 | 0.877064 | − | 0.480374i | \(-0.159499\pi\) | ||||
0.877064 | + | 0.480374i | \(0.159499\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −10.8761 | −0.522674 | −0.261337 | − | 0.965248i | \(-0.584163\pi\) | ||||
−0.261337 | + | 0.965248i | \(0.584163\pi\) | |||||||
\(434\) | −14.2675 | + | 5.19296i | −0.684864 | + | 0.249270i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −10.8384 | + | 9.09446i | −0.519063 | + | 0.435546i | ||||
\(437\) | −1.37355 | − | 7.78982i | −0.0657060 | − | 0.372637i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 7.24162 | + | 6.07644i | 0.345624 | + | 0.290013i | 0.799030 | − | 0.601291i | \(-0.205347\pi\) |
−0.453406 | + | 0.891304i | \(0.649791\pi\) | |||||||
\(440\) | 4.70906 | − | 8.15632i | 0.224495 | − | 0.388837i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −3.05390 | − | 5.28951i | −0.145259 | − | 0.251596i | ||||
\(443\) | −2.86935 | + | 16.2729i | −0.136327 | + | 0.773148i | 0.837600 | + | 0.546284i | \(0.183958\pi\) |
−0.973927 | + | 0.226863i | \(0.927153\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 33.0111 | + | 12.0151i | 1.56488 | + | 0.569569i | ||||
\(446\) | −30.0957 | − | 10.9539i | −1.42507 | − | 0.518683i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −9.64620 | + | 54.7063i | −0.455740 | + | 2.58463i | ||||
\(449\) | −2.37181 | − | 4.10809i | −0.111933 | − | 0.193873i | 0.804617 | − | 0.593794i | \(-0.202371\pi\) |
−0.916549 | + | 0.399921i | \(0.869037\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −4.69001 | + | 8.12334i | −0.220844 | + | 0.382513i | ||||
\(452\) | 4.63036 | + | 3.88533i | 0.217794 | + | 0.182751i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 8.37372 | + | 47.4897i | 0.392998 | + | 2.22880i | ||||
\(455\) | −9.35370 | + | 7.84869i | −0.438508 | + | 0.367952i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 21.0571 | − | 7.66417i | 0.985012 | − | 0.358515i | 0.201225 | − | 0.979545i | \(-0.435508\pi\) |
0.783787 | + | 0.621030i | \(0.213286\pi\) | |||||||
\(458\) | 18.5232 | 0.865534 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 22.4214 | 1.04540 | ||||||||
\(461\) | −14.0223 | + | 5.10371i | −0.653085 | + | 0.237704i | −0.647248 | − | 0.762279i | \(-0.724080\pi\) |
−0.00583713 | + | 0.999983i | \(0.501858\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −11.3736 | + | 9.54358i | −0.528576 | + | 0.443528i | −0.867609 | − | 0.497247i | \(-0.834344\pi\) |
0.339033 | + | 0.940774i | \(0.389900\pi\) | |||||||
\(464\) | 1.39933 | + | 7.93597i | 0.0649621 | + | 0.368418i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 38.3997 | + | 32.2212i | 1.77883 | + | 1.49262i | ||||
\(467\) | −7.67571 | + | 13.2947i | −0.355190 | + | 0.615206i | −0.987150 | − | 0.159794i | \(-0.948917\pi\) |
0.631961 | + | 0.775000i | \(0.282250\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −10.0152 | − | 17.3468i | −0.462458 | − | 0.801001i | ||||
\(470\) | −5.48929 | + | 31.1313i | −0.253202 | + | 1.43598i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0.270093 | + | 0.0983060i | 0.0124321 | + | 0.00452490i | ||||
\(473\) | −21.3868 | − | 7.78416i | −0.983366 | − | 0.357916i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.226993 | − | 1.28734i | 0.0104152 | − | 0.0590673i | ||||
\(476\) | 14.4159 | + | 24.9690i | 0.660750 | + | 1.14445i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 10.5768 | − | 18.3196i | 0.483772 | − | 0.837918i | ||||
\(479\) | −8.00410 | − | 6.71624i | −0.365717 | − | 0.306873i | 0.441348 | − | 0.897336i | \(-0.354501\pi\) |
−0.807064 | + | 0.590464i | \(0.798945\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.89432 | − | 10.7432i | −0.0863737 | − | 0.489850i | ||||
\(482\) | 9.30073 | − | 7.80424i | 0.423637 | − | 0.355473i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −14.7001 | + | 5.35041i | −0.668188 | + | 0.243201i | ||||
\(485\) | −10.5820 | −0.480505 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −16.1649 | −0.732500 | −0.366250 | − | 0.930516i | \(-0.619359\pi\) | ||||
−0.366250 | + | 0.930516i | \(0.619359\pi\) | |||||||
\(488\) | 4.58875 | − | 1.67017i | 0.207723 | − | 0.0756049i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 55.6575 | − | 46.7022i | 2.51435 | − | 2.10979i | ||||
\(491\) | 1.87147 | + | 10.6136i | 0.0844581 | + | 0.478985i | 0.997472 | + | 0.0710576i | \(0.0226374\pi\) |
−0.913014 | + | 0.407928i | \(0.866251\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 5.39904 | + | 4.53033i | 0.243160 | + | 0.204036i | ||||
\(494\) | −2.37477 | + | 4.11322i | −0.106846 | + | 0.185062i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.99119 | + | 3.44885i | 0.0894071 | + | 0.154858i | ||||
\(497\) | −2.59789 | + | 14.7333i | −0.116531 | + | 0.660881i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 18.0301 | + | 6.56240i | 0.807136 | + | 0.293774i | 0.712440 | − | 0.701733i | \(-0.247590\pi\) |
0.0946959 | + | 0.995506i | \(0.469812\pi\) | |||||||
\(500\) | 27.9607 | + | 10.1769i | 1.25044 | + | 0.455123i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 2.68994 | − | 15.2554i | 0.120058 | − | 0.680882i | ||||
\(503\) | −6.01253 | − | 10.4140i | −0.268086 | − | 0.464338i | 0.700282 | − | 0.713866i | \(-0.253058\pi\) |
−0.968367 | + | 0.249529i | \(0.919724\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 19.2389 | − | 33.3228i | 0.856120 | − | 1.48284i | ||||
\(506\) | −29.0698 | − | 24.3925i | −1.29231 | − | 1.08438i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −4.03422 | − | 22.8792i | −0.178990 | − | 1.01510i | ||||
\(509\) | 11.4547 | − | 9.61162i | 0.507720 | − | 0.426027i | −0.352606 | − | 0.935772i | \(-0.614704\pi\) |
0.860326 | + | 0.509744i | \(0.170260\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −58.1382 | + | 21.1606i | −2.57188 | + | 0.936088i | ||||
\(512\) | 27.3678 | 1.20950 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 49.3922 | 2.17860 | ||||||||
\(515\) | −17.5257 | + | 6.37882i | −0.772273 | + | 0.281084i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 22.8330 | − | 19.1591i | 1.00419 | − | 0.842618i | ||||
\(518\) | 16.0510 | + | 91.0299i | 0.705241 | + | 3.99962i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −2.11428 | − | 1.77409i | −0.0927172 | − | 0.0777990i | ||||
\(521\) | 18.7094 | − | 32.4056i | 0.819673 | − | 1.41972i | −0.0862502 | − | 0.996274i | \(-0.527488\pi\) |
0.905923 | − | 0.423442i | \(-0.139178\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 4.22489 | + | 7.31773i | 0.184742 | + | 0.319982i | 0.943489 | − | 0.331403i | \(-0.107522\pi\) |
−0.758748 | + | 0.651385i | \(0.774188\pi\) | |||||||
\(524\) | 6.70092 | − | 38.0028i | 0.292731 | − | 1.66016i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −54.7136 | − | 19.9141i | −2.38562 | − | 0.868296i | ||||
\(527\) | 3.27297 | + | 1.19126i | 0.142573 | + | 0.0518923i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −0.777821 | + | 4.41124i | −0.0338183 | + | 0.191793i | ||||
\(530\) | −13.9242 | − | 24.1175i | −0.604829 | − | 1.04760i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 11.2100 | − | 19.4163i | 0.486017 | − | 0.841805i | ||||
\(533\) | 2.10573 | + | 1.76692i | 0.0912092 | + | 0.0765336i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −2.67079 | − | 15.1468i | −0.115468 | − | 0.654853i | ||||
\(536\) | 3.46834 | − | 2.91028i | 0.149809 | − | 0.125705i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 18.8100 | − | 6.84628i | 0.810957 | − | 0.295164i | ||||
\(539\) | −68.5065 | −2.95078 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 12.6259 | 0.542828 | 0.271414 | − | 0.962463i | \(-0.412509\pi\) | ||||
0.271414 | + | 0.962463i | \(0.412509\pi\) | |||||||
\(542\) | −52.4772 | + | 19.1001i | −2.25409 | + | 0.820422i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 14.3673 | − | 12.0556i | 0.615992 | − | 0.516879i | ||||
\(545\) | −2.02246 | − | 11.4699i | −0.0866327 | − | 0.491319i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 24.0500 | + | 20.1804i | 1.02830 | + | 0.862850i | 0.990648 | − | 0.136441i | \(-0.0435665\pi\) |
0.0376558 | + | 0.999291i | \(0.488011\pi\) | |||||||
\(548\) | −4.58365 | + | 7.93912i | −0.195804 | + | 0.339142i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −3.13563 | − | 5.43107i | −0.133704 | − | 0.231582i | ||||
\(551\) | 0.951697 | − | 5.39734i | 0.0405437 | − | 0.229934i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −20.7420 | − | 7.54945i | −0.882038 | − | 0.321035i | ||||
\(554\) | −0.748452 | − | 0.272414i | −0.0317987 | − | 0.0115738i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 5.79948 | − | 32.8905i | 0.245953 | − | 1.39487i | ||||
\(557\) | −7.96515 | − | 13.7960i | −0.337494 | − | 0.584557i | 0.646467 | − | 0.762942i | \(-0.276246\pi\) |
−0.983961 | + | 0.178385i | \(0.942913\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.33484 | + | 5.77610i | −0.141048 | + | 0.244303i | ||||
\(560\) | −20.7880 | − | 17.4432i | −0.878452 | − | 0.737108i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −5.15931 | − | 29.2599i | −0.217632 | − | 1.23425i | ||||
\(563\) | 19.0445 | − | 15.9802i | 0.802631 | − | 0.673487i | −0.146206 | − | 0.989254i | \(-0.546706\pi\) |
0.948837 | + | 0.315767i | \(0.102262\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −4.67571 | + | 1.70182i | −0.196708 | + | 0.0715960i | ||||
\(566\) | 33.0695 | 1.39001 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −3.38165 | −0.141891 | ||||||||
\(569\) | 18.0327 | − | 6.56337i | 0.755970 | − | 0.275151i | 0.0648545 | − | 0.997895i | \(-0.479342\pi\) |
0.691116 | + | 0.722744i | \(0.257119\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −15.6114 | + | 13.0995i | −0.653317 | + | 0.548198i | −0.908075 | − | 0.418807i | \(-0.862448\pi\) |
0.254759 | + | 0.967005i | \(0.418004\pi\) | |||||||
\(572\) | 2.20430 | + | 12.5012i | 0.0921664 | + | 0.522702i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −17.8423 | − | 14.9715i | −0.744723 | − | 0.624897i | ||||
\(575\) | 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 | \(0.994505\pi\) | |||||||
\(578\) | −4.21156 | + | 23.8849i | −0.175178 | + | 0.993483i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 14.5983 | + | 5.31334i | 0.606161 | + | 0.220624i | ||||
\(581\) | −38.5143 | − | 14.0181i | −1.59784 | − | 0.581568i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.55967 | + | 25.8592i | −0.188842 | + | 1.07098i | ||||
\(584\) | −6.99237 | − | 12.1111i | −0.289346 | − | 0.501163i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 26.1636 | − | 45.3167i | 1.08081 | − | 1.87201i | ||||
\(587\) | 28.2741 | + | 23.7248i | 1.16700 | + | 0.979228i | 0.999977 | − | 0.00672500i | \(-0.00214065\pi\) |
0.167021 | + | 0.985953i | \(0.446585\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.470319 | − | 2.66731i | −0.0193792 | − | 0.109905i | ||||
\(590\) | −0.884124 | + | 0.741868i | −0.0363988 | + | 0.0305422i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 22.7823 | − | 8.29209i | 0.936348 | − | 0.340803i | ||||
\(593\) | −4.36830 | −0.179385 | −0.0896923 | − | 0.995970i | \(-0.528588\pi\) | ||||
−0.0896923 | + | 0.995970i | \(0.528588\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −23.7340 | −0.973000 | ||||||||
\(596\) | 21.0658 | − | 7.66733i | 0.862890 | − | 0.314066i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −8.51896 | + | 7.14826i | −0.348366 | + | 0.292314i | ||||
\(599\) | 5.41880 | + | 30.7315i | 0.221406 | + | 1.25566i | 0.869438 | + | 0.494043i | \(0.164481\pi\) |
−0.648032 | + | 0.761613i | \(0.724408\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 33.6578 | + | 28.2422i | 1.37293 | + | 1.15202i | 0.971747 | + | 0.236027i | \(0.0758452\pi\) |
0.401183 | + | 0.915998i | \(0.368599\pi\) | |||||||
\(602\) | 28.2568 | − | 48.9422i | 1.15166 | − | 1.99474i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.896114 | + | 1.55211i | 0.0364623 | + | 0.0631546i | ||||
\(605\) | 2.23618 | − | 12.6820i | 0.0909136 | − | 0.515597i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −16.3118 | − | 5.93701i | −0.662075 | − | 0.240976i | −0.0109432 | − | 0.999940i | \(-0.503483\pi\) |
−0.651132 | + | 0.758964i | \(0.725706\pi\) | |||||||
\(608\) | −13.7048 | − | 4.98814i | −0.555803 | − | 0.202296i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −3.40494 | + | 19.3104i | −0.137862 | + | 0.781854i | ||||
\(611\) | −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 | \(0.158965\pi\) | |||||||
\(614\) | −33.1941 | − | 27.8532i | −1.33961 | − | 1.12406i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −3.82903 | − | 21.7155i | −0.154276 | − | 0.874944i | ||||
\(617\) | −19.9277 | + | 16.7213i | −0.802257 | + | 0.673174i | −0.948746 | − | 0.316038i | \(-0.897647\pi\) |
0.146489 | + | 0.989212i | \(0.453203\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −9.05051 | + | 3.29412i | −0.363771 | + | 0.132402i | −0.517437 | − | 0.855721i | \(-0.673114\pi\) |
0.153667 | + | 0.988123i | \(0.450892\pi\) | |||||||
\(620\) | 7.67733 | 0.308329 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −47.1311 | −1.88978 | ||||||||
\(623\) | 77.2886 | − | 28.1308i | 3.09650 | − | 1.12704i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −16.0396 | + | 13.4588i | −0.641582 | + | 0.538351i | ||||
\(626\) | −4.12256 | − | 23.3802i | −0.164771 | − | 0.934462i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −26.6298 | − | 22.3451i | −1.06264 | − | 0.891665i | ||||
\(629\) | 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 | \(0.742337\pi\) | |||||||
\(632\) | 0.866389 | − | 4.91354i | 0.0344631 | − | 0.195450i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 50.3545 | + | 18.3275i | 1.99983 | + | 0.727879i | ||||
\(635\) | 17.9712 | + | 6.54096i | 0.713163 | + | 0.259570i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −3.48615 | + | 19.7710i | −0.138126 | + | 0.783354i | ||||
\(638\) | −13.1465 | − | 22.7704i | −0.520476 | − | 0.901490i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 8.77695 | − | 15.2021i | 0.346939 | − | 0.600917i | ||||
\(641\) | −17.0069 | − | 14.2705i | −0.671732 | − | 0.563650i | 0.241846 | − | 0.970315i | \(-0.422247\pi\) |
−0.913577 | + | 0.406665i | \(0.866692\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 3.73982 | + | 21.2096i | 0.147484 | + | 0.836425i | 0.965339 | + | 0.261000i | \(0.0840522\pi\) |
−0.817855 | + | 0.575425i | \(0.804837\pi\) | |||||||
\(644\) | 40.2136 | − | 33.7432i | 1.58464 | − | 1.32967i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −8.67518 | + | 3.15751i | −0.341321 | + | 0.124231i | ||||
\(647\) | −13.4037 | −0.526952 | −0.263476 | − | 0.964666i | \(-0.584869\pi\) | ||||
−0.263476 | + | 0.964666i | \(0.584869\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.08823 | 0.0427168 | ||||||||
\(650\) | −1.72697 | + | 0.628566i | −0.0677374 | + | 0.0246544i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2.29953 | + | 1.92953i | −0.0900565 | + | 0.0755664i | ||||
\(653\) | 3.28384 | + | 18.6236i | 0.128506 | + | 0.728796i | 0.979163 | + | 0.203075i | \(0.0650935\pi\) |
−0.850657 | + | 0.525722i | \(0.823795\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 24.3343 | + | 20.4189i | 0.950820 | + | 0.797832i | ||||
\(656\) | −3.05455 | + | 5.29063i | −0.119260 | + | 0.206564i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 37.0059 | + | 64.0962i | 1.44264 | + | 2.49873i | ||||
\(659\) | 0.00489366 | − | 0.0277533i | 0.000190630 | − | 0.00108112i | −0.984712 | − | 0.174189i | \(-0.944270\pi\) |
0.984903 | + | 0.173108i | \(0.0553808\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 42.3254 | + | 15.4052i | 1.64627 | + | 0.599192i | 0.988118 | − | 0.153696i | \(-0.0491177\pi\) |
0.658148 | + | 0.752888i | \(0.271340\pi\) | |||||||
\(662\) | 52.2496 | + | 19.0173i | 2.03074 | + | 0.739128i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.60874 | − | 9.12361i | 0.0624312 | − | 0.354065i | ||||
\(665\) | 9.22800 | + | 15.9834i | 0.357846 | + | 0.619808i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 6.41623 | − | 11.1132i | 0.248438 | − | 0.430306i | ||||
\(668\) | 46.1295 | + | 38.7072i | 1.78480 | + | 1.49763i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 3.15696 | + | 17.9040i | 0.121964 | + | 0.691692i | ||||
\(671\) | 14.1630 | − | 11.8842i | 0.546757 | − | 0.458783i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 9.17111 | − | 3.33801i | 0.353520 | − | 0.128671i | −0.159155 | − | 0.987254i | \(-0.550877\pi\) |
0.512675 | + | 0.858583i | \(0.328655\pi\) | |||||||
\(674\) | 23.2607 | 0.895968 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −28.9847 | −1.11480 | ||||||||
\(677\) | 38.4153 | − | 13.9820i | 1.47642 | − | 0.537374i | 0.526586 | − | 0.850122i | \(-0.323472\pi\) |
0.949836 | + | 0.312748i | \(0.101250\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −18.9792 | + | 15.9255i | −0.728356 | + | 0.611163i | ||||
\(680\) | −0.931581 | − | 5.28326i | −0.0357245 | − | 0.202604i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −9.95380 | − | 8.35223i | −0.381151 | − | 0.319823i | ||||
\(683\) | −22.0126 | + | 38.1269i | −0.842287 | + | 1.45888i | 0.0456696 | + | 0.998957i | \(0.485458\pi\) |
−0.887957 | + | 0.459927i | \(0.847875\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −3.77322 | − | 6.53541i | −0.144167 | − | 0.249705i | ||||
\(686\) | 17.0146 | − | 96.4945i | 0.649620 | − | 3.68418i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −13.9290 | − | 5.06973i | −0.531036 | − | 0.193281i | ||||
\(689\) | 7.23092 | + | 2.63184i | 0.275476 | + | 0.100265i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 3.74240 | − | 21.2242i | 0.142368 | − | 0.807406i | −0.827076 | − | 0.562090i | \(-0.809997\pi\) |
0.969443 | − | 0.245316i | \(-0.0788916\pi\) | |||||||
\(692\) | −11.4970 | − | 19.9133i | −0.437049 | − | 0.756991i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 3.73302 | − | 6.46577i | 0.141703 | − | 0.245437i | ||||
\(695\) | 21.0607 | + | 17.6721i | 0.798880 | + | 0.670340i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.927813 | + | 5.26189i | 0.0351434 | + | 0.199308i | ||||
\(698\) | −47.5286 | + | 39.8812i | −1.79898 | + | 1.50953i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 8.15213 | − | 2.96713i | 0.308122 | − | 0.112147i | ||||
\(701\) | 12.8521 | 0.485419 | 0.242709 | − | 0.970099i | \(-0.421964\pi\) | ||||
0.242709 | + | 0.970099i | \(0.421964\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −16.4889 | −0.621891 | ||||||||
\(704\) | −44.6729 | + | 16.2596i | −1.68367 | + | 0.612806i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 40.8217 | − | 34.2535i | 1.53634 | − | 1.28915i | ||||
\(707\) | −15.6436 | − | 88.7191i | −0.588337 | − | 3.33663i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −38.0814 | − | 31.9541i | −1.43018 | − | 1.20006i | −0.945609 | − | 0.325306i | \(-0.894533\pi\) |
−0.484567 | − | 0.874754i | \(-0.661023\pi\) | |||||||
\(710\) | 6.78937 | − | 11.7595i | 0.254800 | − | 0.441327i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 9.29562 | + | 16.1005i | 0.348368 | + | 0.603392i | ||||
\(713\) | 1.10122 | − | 6.24534i | 0.0412411 | − | 0.233890i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −9.81945 | − | 3.57399i | −0.367227 | − | 0.133660i | ||||
\(716\) | 25.0605 | + | 9.12127i | 0.936554 | + | 0.340878i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −1.55250 | + | 8.80469i | −0.0579389 | + | 0.328588i | ||||
\(719\) | −2.81873 | − | 4.88218i | −0.105121 | − | 0.182075i | 0.808667 | − | 0.588267i | \(-0.200190\pi\) |
−0.913788 | + | 0.406192i | \(0.866856\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −21.8330 | + | 37.8159i | −0.813104 | + | 1.40834i | ||||
\(722\) | −25.4301 | − | 21.3384i | −0.946410 | − | 0.794132i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.639084 | − | 3.62442i | −0.0237514 | − | 0.134701i | ||||
\(725\) | 1.62454 | − | 1.36315i | 0.0603340 | − | 0.0506262i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 42.6755 | − | 15.5326i | 1.58275 | − | 0.576072i | 0.606947 | − | 0.794743i | \(-0.292394\pi\) |
0.975799 | + | 0.218670i | \(0.0701719\pi\) | |||||||
\(728\) | −6.46195 | −0.239496 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 56.1546 | 2.07837 | ||||||||
\(731\) | −12.1824 | + | 4.43402i | −0.450582 | + | 0.163998i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −19.6620 | + | 16.4983i | −0.726231 | + | 0.609380i | −0.929101 | − | 0.369826i | \(-0.879417\pi\) |
0.202870 | + | 0.979206i | \(0.434973\pi\) | |||||||
\(734\) | 6.45639 | + | 36.6160i | 0.238310 | + | 1.35152i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −26.1591 | − | 21.9501i | −0.964236 | − | 0.809090i | ||||
\(737\) | 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 | \(0.747673\pi\) | |||||||
\(740\) | 8.11614 | − | 46.0289i | 0.298355 | − | 1.69206i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −61.2692 | − | 22.3002i | −2.24926 | − | 0.818664i | ||||
\(743\) | 32.6954 | + | 11.9002i | 1.19948 | + | 0.436574i | 0.863042 | − | 0.505132i | \(-0.168556\pi\) |
0.336436 | + | 0.941706i | \(0.390778\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −3.20452 | + | 18.1738i | −0.117405 | + | 0.665835i | ||||
\(746\) | 31.5084 | + | 54.5742i | 1.15360 | + | 1.99810i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −12.3371 | + | 21.3685i | −0.451089 | + | 0.781308i | ||||
\(749\) | −27.5854 | − | 23.1469i | −1.00795 | − | 0.845768i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.14624 | + | 17.8432i | 0.114808 | + | 0.651107i | 0.986845 | + | 0.161668i | \(0.0516874\pi\) |
−0.872037 | + | 0.489439i | \(0.837202\pi\) | |||||||
\(752\) | 14.8708 | − | 12.4781i | 0.542283 | − | 0.455030i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −7.24054 | + | 2.63534i | −0.263685 | + | 0.0959735i | ||||
\(755\) | −1.47535 | −0.0536933 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −37.0045 | −1.34495 | −0.672475 | − | 0.740120i | \(-0.734769\pi\) | ||||
−0.672475 | + | 0.740120i | \(0.734769\pi\) | |||||||
\(758\) | −41.8391 | + | 15.2282i | −1.51967 | + | 0.553113i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −3.19573 | + | 2.68154i | −0.115921 | + | 0.0972696i | ||||
\(761\) | 2.16095 | + | 12.2554i | 0.0783344 | + | 0.444256i | 0.998597 | + | 0.0529549i | \(0.0168640\pi\) |
−0.920263 | + | 0.391302i | \(0.872025\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −20.8891 | − | 17.5280i | −0.756235 | − | 0.634557i | ||||
\(764\) | 15.6257 | − | 27.0644i | 0.565316 | − | 0.979156i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 10.5155 | + | 18.2133i | 0.379939 | + | 0.658074i | ||||
\(767\) | 0.0553778 | − | 0.314063i | 0.00199958 | − | 0.0113402i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 38.4199 | + | 13.9837i | 1.38546 | + | 0.504265i | 0.923828 | − | 0.382809i | \(-0.125043\pi\) |
0.461628 | + | 0.887074i | \(0.347265\pi\) | |||||||
\(770\) | 83.2024 | + | 30.2832i | 2.99841 | + | 1.09133i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 9.07492 | − | 51.4664i | 0.326613 | − | 1.85232i | ||||
\(773\) | −18.2081 | − | 31.5374i | −0.654900 | − | 1.13432i | −0.981919 | − | 0.189302i | \(-0.939377\pi\) |
0.327019 | − | 0.945018i | \(-0.393956\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.524012 | − | 0.907615i | 0.0188231 | − | 0.0326025i | ||||
\(776\) | −4.29000 | − | 3.59974i | −0.154002 | − | 0.129223i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 7.79150 | + | 44.1878i | 0.279339 | + | 1.58421i | ||||
\(779\) | 3.18281 | − | 2.67069i | 0.114036 | − | 0.0956875i | ||||
\(780\) | 0 | 0 |