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 | 568.2 | ||
Root | \(3.10658i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.568 |
Dual form | 729.2.e.s.163.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 | \(-0.118311\pi\) |
0.480286 | + | 0.877112i | \(0.340533\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.92717 | + | 1.61709i | 0.963587 | + | 0.808546i | ||||
\(5\) | −0.359615 | + | 2.03948i | −0.160825 | + | 0.912082i | 0.792441 | + | 0.609949i | \(0.208810\pi\) |
−0.953266 | + | 0.302134i | \(0.902301\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.71430 | − | 3.11667i | 1.40387 | − | 1.17799i | 0.444524 | − | 0.895767i | \(-0.353373\pi\) |
0.959349 | − | 0.282222i | \(-0.0910716\pi\) | |||||||
\(8\) | 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 | 0.876951 | + | 0.480579i | \(0.159573\pi\) |
−0.659697 | + | 0.751532i | \(0.729315\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.14268 | − | 0.415902i | 0.316923 | − | 0.115350i | −0.178661 | − | 0.983911i | \(-0.557176\pi\) |
0.495583 | + | 0.868560i | \(0.334954\pi\) | |||||||
\(14\) | 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 | \(-0.925869\pi\) |
0.686371 | + | 0.727252i | \(0.259203\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.919003 | + | 1.59176i | 0.210834 | + | 0.365175i | 0.951976 | − | 0.306174i | \(-0.0990488\pi\) |
−0.741142 | + | 0.671348i | \(0.765715\pi\) | |||||||
\(20\) | −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 | \(-0.425883\pi\) |
−0.918162 | + | 0.396204i | \(0.870327\pi\) | |||||||
\(24\) | 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 | \(-0.478181\pi\) |
−0.588810 | + | 0.808272i | \(0.700403\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.12883 | + | 0.947203i | 0.202744 | + | 0.170123i | 0.738507 | − | 0.674246i | \(-0.235531\pi\) |
−0.535762 | + | 0.844369i | \(0.679976\pi\) | |||||||
\(32\) | 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 | 0.216236 | + | 0.976341i | \(0.430622\pi\) |
−0.953654 | + | 0.300905i | \(0.902711\pi\) | |||||||
\(38\) | 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 | \(-0.667594\pi\) |
0.170778 | + | 0.985310i | \(0.445372\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.952435 | − | 5.40153i | −0.145245 | − | 0.823726i | −0.967170 | − | 0.254130i | \(-0.918211\pi\) |
0.821925 | − | 0.569596i | \(-0.192900\pi\) | |||||||
\(44\) | −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 | \(-0.546705\pi\) |
0.948838 | + | 0.315763i | \(0.102260\pi\) | |||||||
\(48\) | 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 | \(-0.643114\pi\) | ||||
−0.434611 | + | 0.900618i | \(0.643114\pi\) | |||||||
\(54\) | 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 | \(-0.939010\pi\) |
0.987629 | + | 0.156811i | \(0.0501213\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.41319 | + | 2.86401i | −0.437014 | + | 0.366699i | −0.834591 | − | 0.550870i | \(-0.814296\pi\) |
0.397576 | + | 0.917569i | \(0.369851\pi\) | |||||||
\(62\) | 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 | −0.568080 | − | 0.822973i | \(-0.692314\pi\) |
0.0938223 | + | 0.995589i | \(0.470091\pi\) | |||||||
\(68\) | −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 | \(-0.891944\pi\) |
0.759840 | + | 0.650110i | \(0.225277\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.38003 | − | 11.0505i | −0.746726 | − | 1.29337i | −0.949384 | − | 0.314118i | \(-0.898291\pi\) |
0.202658 | − | 0.979250i | \(-0.435042\pi\) | |||||||
\(74\) | −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 | 0.0899659 | − | 0.995945i | \(-0.471324\pi\) |
−0.571263 | + | 0.820767i | \(0.693546\pi\) | |||||||
\(80\) | 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 | \(-0.235331\pi\) |
0.132956 | + | 0.991122i | \(0.457553\pi\) | |||||||
\(84\) | 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 | −0.828716 | − | 0.559670i | \(-0.810928\pi\) |
−0.0703304 | − | 0.997524i | \(-0.522405\pi\) | |||||||
\(90\) | 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 | −0.996141 | − | 0.0877646i | \(-0.972028\pi\) |
0.906049 | − | 0.423172i | \(-0.139083\pi\) | |||||||
\(98\) | 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 | 0.462918 | − | 0.886401i | \(-0.346802\pi\) |
0.953319 | − | 0.301964i | \(-0.0976422\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.56384 | − | 8.86895i | 0.154089 | − | 0.873884i | −0.805524 | − | 0.592563i | \(-0.798116\pi\) |
0.959614 | − | 0.281321i | \(-0.0907726\pi\) | |||||||
\(104\) | 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 | \(-0.383122\pi\) | ||||
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 | \(0.586805\pi\) | |||||||
\(110\) | −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 | \(-0.980494\pi\) |
0.958874 | + | 0.283831i | \(0.0916054\pi\) | |||||||
\(114\) | 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 | 0.994859 | − | 0.101274i | \(-0.0322919\pi\) |
−0.585135 | + | 0.810936i | \(0.698959\pi\) | |||||||
\(128\) | 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 | \(-0.511521\pi\) |
−0.990447 | + | 0.137897i | \(0.955966\pi\) | |||||||
\(132\) | 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 | \(-0.339138\pi\) |
−0.191576 | + | 0.981478i | \(0.561360\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 10.1697 | + | 8.53335i | 0.862579 | + | 0.723789i | 0.962522 | − | 0.271204i | \(-0.0874217\pi\) |
−0.0999433 | + | 0.994993i | \(0.531866\pi\) | |||||||
\(140\) | −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 | \(-0.730045\pi\) |
−0.0245732 | + | 0.999698i | \(0.507823\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.123708 | − | 0.701581i | −0.0100672 | − | 0.0570938i | 0.979360 | − | 0.202122i | \(-0.0647838\pi\) |
−0.989428 | + | 0.145028i | \(0.953673\pi\) | |||||||
\(152\) | −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 | 0.725817 | + | 0.687888i | \(0.241462\pi\) |
−0.917316 | + | 0.398159i | \(0.869649\pi\) | |||||||
\(158\) | −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 | 0.210669 | + | 0.977558i | \(0.432436\pi\) |
−0.532308 | + | 0.846551i | \(0.678675\pi\) | |||||||
\(168\) | 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 | −0.983787 | − | 0.179343i | \(-0.942603\pi\) |
0.863118 | − | 0.505002i | \(-0.168508\pi\) | |||||||
\(174\) | 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 | \(-0.962994\pi\) |
0.597081 | + | 0.802181i | \(0.296327\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.731460 | + | 1.26693i | 0.0543690 | + | 0.0941699i | 0.891929 | − | 0.452176i | \(-0.149352\pi\) |
−0.837560 | + | 0.546345i | \(0.816019\pi\) | |||||||
\(182\) | 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 | \(-0.537259\pi\) |
−0.727852 | + | 0.685734i | \(0.759481\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 15.9133 | + | 13.3528i | 1.14546 | + | 0.961157i | 0.999604 | − | 0.0281484i | \(-0.00896109\pi\) |
0.145859 | + | 0.989305i | \(0.453406\pi\) | |||||||
\(194\) | 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 | 0.999980 | + | 0.00630469i | \(0.00200686\pi\) |
−0.494530 | + | 0.869161i | \(0.664660\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −10.1643 | + | 17.6051i | −0.720529 | + | 1.24799i | 0.240259 | + | 0.970709i | \(0.422768\pi\) |
−0.960788 | + | 0.277284i | \(0.910566\pi\) | |||||||
\(200\) | 0.135353 | + | 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 | 0.867358 | + | 0.497685i | \(0.165817\pi\) |
−0.985268 | + | 0.171018i | \(0.945294\pi\) | |||||||
\(212\) | −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 | −0.168376 | − | 0.985723i | \(-0.553852\pi\) |
0.941509 | + | 0.336987i | \(0.109408\pi\) | |||||||
\(224\) | −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 | −0.778705 | − | 0.627390i | \(-0.784123\pi\) |
0.517164 | − | 0.855886i | \(-0.326988\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −8.19102 | + | 2.98129i | −0.541278 | + | 0.197009i | −0.598167 | − | 0.801371i | \(-0.704104\pi\) |
0.0568892 | + | 0.998381i | \(0.481882\pi\) | |||||||
\(230\) | 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 | −0.163406 | − | 0.986559i | \(-0.552248\pi\) |
0.936088 | − | 0.351766i | \(-0.114419\pi\) | |||||||
\(234\) | 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 | \(-0.173439\pi\) |
−0.361933 | + | 0.932204i | \(0.617883\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −5.36889 | − | 1.95411i | −0.345840 | − | 0.125876i | 0.163259 | − | 0.986583i | \(-0.447799\pi\) |
−0.509100 | + | 0.860708i | \(0.670022\pi\) | |||||||
\(242\) | −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 | \(-0.0927745\pi\) |
−0.727766 | + | 0.685826i | \(0.759441\pi\) | |||||||
\(252\) | 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 | \(-0.352982\pi\) |
0.916803 | + | 0.399339i | \(0.130760\pi\) | |||||||
\(258\) | 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 | −0.303150 | + | 0.952943i | \(0.598038\pi\) |
−0.991107 | + | 0.133067i | \(0.957517\pi\) | |||||||
\(264\) | 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 | \(-0.407287\pi\) | ||||
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 | \(0.205792\pi\) | |||||||
\(272\) | 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 | −0.634121 | − | 0.773234i | \(-0.718638\pi\) |
0.651373 | + | 0.758758i | \(0.274193\pi\) | |||||||
\(278\) | 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 | 0.967500 | + | 0.252873i | \(0.0813755\pi\) |
−0.822665 | + | 0.568527i | \(0.807513\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −14.6234 | + | 5.32248i | −0.869270 | + | 0.316389i | −0.737872 | − | 0.674941i | \(-0.764169\pi\) |
−0.131399 | + | 0.991330i | \(0.541947\pi\) | |||||||
\(284\) | −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 | \(-0.0222490\pi\) |
0.104445 | + | 0.994531i | \(0.466693\pi\) | |||||||
\(294\) | 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 | −0.413362 | − | 0.910567i | \(-0.635646\pi\) |
0.995255 | − | 0.0973012i | \(-0.0310210\pi\) | |||||||
\(308\) | 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 | \(-0.827576\pi\) |
−0.324970 | + | 0.945724i | \(0.605354\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.94000 | − | 11.0023i | −0.109656 | − | 0.621887i | −0.989258 | − | 0.146178i | \(-0.953303\pi\) |
0.879603 | − | 0.475709i | \(-0.157808\pi\) | |||||||
\(314\) | −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 | \(-0.471750\pi\) |
0.996323 | + | 0.0856786i | \(0.0273058\pi\) | |||||||
\(318\) | 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 | −0.997540 | − | 0.0701033i | \(-0.977667\pi\) |
−0.104183 | + | 0.994558i | \(0.533223\pi\) | |||||||
\(332\) | 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 | −0.606621 | − | 0.794991i | \(-0.707476\pi\) |
0.0463114 | + | 0.998927i | \(0.485253\pi\) | |||||||
\(338\) | −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 | \(-0.247715\pi\) |
−0.567682 | + | 0.823248i | \(0.692160\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 27.4361 | + | 9.98591i | 1.46862 | + | 0.534534i | 0.947725 | − | 0.319088i | \(-0.103377\pi\) |
0.520894 | + | 0.853622i | \(0.325599\pi\) | |||||||
\(350\) | 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 | \(-0.156317\pi\) |
0.372389 | + | 0.928077i | \(0.378539\pi\) | |||||||
\(354\) | 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 | \(-0.202080\pi\) |
−0.916184 | + | 0.400758i | \(0.868747\pi\) | |||||||
\(360\) | 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 | 0.955424 | + | 0.295236i | \(0.0953983\pi\) |
−0.796829 | + | 0.604205i | \(0.793491\pi\) | |||||||
\(368\) | −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 | 0.497727 | + | 0.867334i | \(0.334168\pi\) |
−0.764356 | + | 0.644794i | \(0.776943\pi\) | |||||||
\(374\) | −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 | −0.908900 | − | 0.417015i | \(-0.863076\pi\) |
0.996714 | − | 0.0810039i | \(-0.0258126\pi\) | |||||||
\(384\) | 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 | −0.924792 | − | 0.380472i | \(-0.875761\pi\) |
0.738891 | − | 0.673825i | \(-0.235350\pi\) | |||||||
\(390\) | 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 | 0.962244 | − | 0.272189i | \(-0.0877476\pi\) |
−0.716845 | + | 0.697233i | \(0.754414\pi\) | |||||||
\(398\) | −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 | \(-0.436375\pi\) |
−0.930721 | + | 0.365731i | \(0.880819\pi\) | |||||||
\(402\) | 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 | 0.880984 | − | 0.473145i | \(-0.156881\pi\) |
−0.312976 | + | 0.949761i | \(0.601326\pi\) | |||||||
\(410\) | 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 | \(-0.656452\pi\) |
0.205155 | + | 0.978729i | \(0.434230\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.31187 | − | 13.1113i | −0.112674 | − | 0.639003i | −0.987876 | − | 0.155246i | \(-0.950383\pi\) |
0.875202 | − | 0.483757i | \(-0.160728\pi\) | |||||||
\(422\) | −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 | \(-0.840501\pi\) | ||||
−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 | \(0.584163\pi\) | |||||||
\(434\) | 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 | −0.453406 | − | 0.891304i | \(-0.649791\pi\) |
0.799030 | + | 0.601291i | \(0.205347\pi\) | |||||||
\(440\) | −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 | 0.973927 | + | 0.226863i | \(0.0728471\pi\) |
−0.837600 | + | 0.546284i | \(0.816042\pi\) | |||||||
\(444\) | 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 | \(-0.797629\pi\) |
0.916549 | + | 0.399921i | \(0.130963\pi\) | |||||||
\(450\) | 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 | 0.783787 | − | 0.621030i | \(-0.213286\pi\) |
0.201225 | + | 0.979545i | \(0.435508\pi\) | |||||||
\(458\) | −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 | \(-0.275920\pi\) |
0.00583713 | + | 0.999983i | \(0.498142\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −11.3736 | − | 9.54358i | −0.528576 | − | 0.443528i | 0.339033 | − | 0.940774i | \(-0.389900\pi\) |
−0.867609 | + | 0.497247i | \(0.834344\pi\) | |||||||
\(464\) | −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 | \(-0.0510830\pi\) |
−0.631961 | + | 0.775000i | \(0.717750\pi\) | |||||||
\(468\) | 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 | \(-0.645499\pi\) |
0.807064 | + | 0.590464i | \(0.201055\pi\) | |||||||
\(480\) | 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 | 0.913014 | + | 0.407928i | \(0.133749\pi\) |
−0.997472 | + | 0.0710576i | \(0.977363\pi\) | |||||||
\(492\) | 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 | 0.0946959 | − | 0.995506i | \(-0.469812\pi\) |
0.712440 | + | 0.701733i | \(0.247590\pi\) | |||||||
\(500\) | −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 | \(-0.746942\pi\) |
0.968367 | + | 0.249529i | \(0.0802757\pi\) | |||||||
\(504\) | 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 | \(-0.385296\pi\) |
−0.860326 | + | 0.509744i | \(0.829740\pi\) | |||||||
\(510\) | 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 | −0.905923 | − | 0.423442i | \(-0.860822\pi\) |
0.0862502 | − | 0.996274i | \(-0.472512\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 4.22489 | − | 7.31773i | 0.184742 | − | 0.319982i | −0.758748 | − | 0.651385i | \(-0.774188\pi\) |
0.943489 | + | 0.331403i | \(0.107522\pi\) | |||||||
\(524\) | −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 | 0.0376558 | − | 0.999291i | \(-0.488011\pi\) |
0.990648 | + | 0.136441i | \(0.0435665\pi\) | |||||||
\(548\) | 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 | \(-0.723754\pi\) |
0.983961 | + | 0.178385i | \(0.0570874\pi\) | |||||||
\(558\) | 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 | \(-0.453294\pi\) |
−0.948837 | + | 0.315767i | \(0.897738\pi\) | |||||||
\(564\) | 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 | \(-0.520658\pi\) |
−0.691116 | + | 0.722744i | \(0.742881\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −15.6114 | − | 13.0995i | −0.653317 | − | 0.548198i | 0.254759 | − | 0.967005i | \(-0.418004\pi\) |
−0.908075 | + | 0.418807i | \(0.862448\pi\) | |||||||
\(572\) | −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 | −0.999851 | − | 0.0172619i | \(-0.994505\pi\) |
0.514875 | + | 0.857265i | \(0.327838\pi\) | |||||||
\(578\) | 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 | \(-0.997859\pi\) |
−0.167021 | + | 0.985953i | \(0.553415\pi\) | |||||||
\(588\) | 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 | \(-0.471412\pi\) | ||||
0.0896923 | + | 0.995970i | \(0.471412\pi\) | |||||||
\(594\) | 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 | 0.648032 | + | 0.761613i | \(0.275592\pi\) |
−0.869438 | + | 0.494043i | \(0.835519\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 33.6578 | − | 28.2422i | 1.37293 | − | 1.15202i | 0.401183 | − | 0.915998i | \(-0.368599\pi\) |
0.971747 | − | 0.236027i | \(-0.0758452\pi\) | |||||||
\(602\) | −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 | −0.651132 | − | 0.758964i | \(-0.725706\pi\) |
−0.0109432 | + | 0.999940i | \(0.503483\pi\) | |||||||
\(608\) | 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 | 0.877869 | − | 0.478901i | \(-0.158965\pi\) |
−0.853675 | + | 0.520807i | \(0.825631\pi\) | |||||||
\(614\) | 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 | \(-0.102353\pi\) |
−0.146489 | + | 0.989212i | \(0.546797\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −9.05051 | − | 3.29412i | −0.363771 | − | 0.132402i | 0.153667 | − | 0.988123i | \(-0.450892\pi\) |
−0.517437 | + | 0.855721i | \(0.673114\pi\) | |||||||
\(620\) | −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 | −0.689880 | − | 0.723924i | \(-0.742337\pi\) |
0.971876 | + | 0.235492i | \(0.0756702\pi\) | |||||||
\(632\) | −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 | \(-0.577753\pi\) |
0.913577 | + | 0.406665i | \(0.133308\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 3.73982 | − | 21.2096i | 0.147484 | − | 0.836425i | −0.817855 | − | 0.575425i | \(-0.804837\pi\) |
0.965339 | − | 0.261000i | \(-0.0840522\pi\) | |||||||
\(644\) | −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 | \(-0.415131\pi\) | ||||
0.263476 | + | 0.964666i | \(0.415131\pi\) | |||||||
\(648\) | 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 | 0.850657 | + | 0.525722i | \(0.176205\pi\) |
−0.979163 | + | 0.203075i | \(0.934907\pi\) | |||||||
\(654\) | 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 | \(-0.0557303\pi\) |
−0.984903 | + | 0.173108i | \(0.944619\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 42.3254 | − | 15.4052i | 1.64627 | − | 0.599192i | 0.658148 | − | 0.752888i | \(-0.271340\pi\) |
0.988118 | + | 0.153696i | \(0.0491177\pi\) | |||||||
\(662\) | −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 | 0.512675 | − | 0.858583i | \(-0.328655\pi\) |
−0.159155 | + | 0.987254i | \(0.550877\pi\) | |||||||
\(674\) | −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 | \(-0.676528\pi\) |
−0.949836 | + | 0.312748i | \(0.898750\pi\) | |||||||
\(678\) | 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 | 0.887957 | + | 0.459927i | \(0.152125\pi\) |
−0.0456696 | + | 0.998957i | \(0.514542\pi\) | |||||||
\(684\) | 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 | 0.969443 | + | 0.245316i | \(0.0788916\pi\) |
−0.827076 | + | 0.562090i | \(0.809997\pi\) | |||||||
\(692\) | 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 | \(-0.578036\pi\) | ||||
−0.242709 | + | 0.970099i | \(0.578036\pi\) | |||||||
\(702\) | 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 | −0.484567 | + | 0.874754i | \(0.661023\pi\) |
−0.945609 | + | 0.325306i | \(0.894533\pi\) | |||||||
\(710\) | −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 | \(-0.799810\pi\) |
0.913788 | + | 0.406192i | \(0.133144\pi\) | |||||||
\(720\) | 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 | 0.975799 | − | 0.218670i | \(-0.0701719\pi\) |
0.606947 | + | 0.794743i | \(0.292394\pi\) | |||||||
\(728\) | 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 | 0.202870 | − | 0.979206i | \(-0.434973\pi\) |
−0.929101 | + | 0.369826i | \(0.879417\pi\) | |||||||
\(734\) | −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 | −0.701919 | − | 0.712256i | \(-0.747673\pi\) |
0.967792 | + | 0.251752i | \(0.0810066\pi\) | |||||||
\(740\) | −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 | \(-0.831444\pi\) |
−0.336436 | + | 0.941706i | \(0.609222\pi\) | |||||||
\(744\) | 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 | −0.872037 | − | 0.489439i | \(-0.837202\pi\) |
0.986845 | − | 0.161668i | \(-0.0516874\pi\) | |||||||
\(752\) | −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 | 0.920263 | + | 0.391302i | \(0.127975\pi\) |
−0.998597 | + | 0.0529549i | \(0.983136\pi\) | |||||||
\(762\) | 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 | 0.461628 | − | 0.887074i | \(-0.347265\pi\) |
0.923828 | + | 0.382809i | \(0.125043\pi\) | |||||||
\(770\) | −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 | −0.327019 | − | 0.945018i | \(-0.606044\pi\) |
0.981919 | − | 0.189302i | \(-0.0606226\pi\) | |||||||
\(774\) | 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 | − |