Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(99,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.u (of order \(18\), 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 190) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 99.5 | ||
Character | \(\chi\) | \(=\) | 950.99 |
Dual form | 950.2.u.g.499.5 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.342020 | − | 0.939693i | 0.241845 | − | 0.664463i | ||||
\(3\) | −0.0355948 | + | 0.00627632i | −0.0205507 | + | 0.00362364i | −0.183914 | − | 0.982942i | \(-0.558877\pi\) |
0.163363 | + | 0.986566i | \(0.447766\pi\) | |||||||
\(4\) | −0.766044 | − | 0.642788i | −0.383022 | − | 0.321394i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.00627632 | + | 0.0355948i | −0.00256230 | + | 0.0145315i | ||||
\(7\) | 1.59124 | + | 0.918706i | 0.601434 | + | 0.347238i | 0.769605 | − | 0.638520i | \(-0.220453\pi\) |
−0.168172 | + | 0.985758i | \(0.553786\pi\) | |||||||
\(8\) | −0.866025 | + | 0.500000i | −0.306186 | + | 0.176777i | ||||
\(9\) | −2.81785 | + | 1.02561i | −0.939283 | + | 0.341871i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.23288 | + | 2.13541i | 0.371727 | + | 0.643850i | 0.989831 | − | 0.142246i | \(-0.0454325\pi\) |
−0.618105 | + | 0.786096i | \(0.712099\pi\) | |||||||
\(12\) | 0.0313015 | + | 0.0180720i | 0.00903598 | + | 0.00521692i | ||||
\(13\) | 2.35673 | + | 0.415556i | 0.653641 | + | 0.115254i | 0.490627 | − | 0.871369i | \(-0.336768\pi\) |
0.163013 | + | 0.986624i | \(0.447879\pi\) | |||||||
\(14\) | 1.40754 | − | 1.18107i | 0.376180 | − | 0.315653i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.173648 | + | 0.984808i | 0.0434120 | + | 0.246202i | ||||
\(17\) | −2.30589 | + | 6.33539i | −0.559261 | + | 1.53656i | 0.261451 | + | 0.965217i | \(0.415799\pi\) |
−0.820712 | + | 0.571341i | \(0.806423\pi\) | |||||||
\(18\) | 2.99869i | 0.706799i | ||||||||
\(19\) | 4.34868 | + | 0.298357i | 0.997655 | + | 0.0684477i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.0624061 | − | 0.0227140i | −0.0136181 | − | 0.00495660i | ||||
\(22\) | 2.42830 | − | 0.428174i | 0.517714 | − | 0.0912870i | ||||
\(23\) | −1.04191 | + | 1.24170i | −0.217253 | + | 0.258912i | −0.863653 | − | 0.504087i | \(-0.831829\pi\) |
0.646400 | + | 0.762998i | \(0.276274\pi\) | |||||||
\(24\) | 0.0276878 | − | 0.0232329i | 0.00565176 | − | 0.00474239i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 1.19655 | − | 2.07248i | 0.234662 | − | 0.406446i | ||||
\(27\) | 0.187768 | − | 0.108408i | 0.0361360 | − | 0.0208632i | ||||
\(28\) | −0.628432 | − | 1.72660i | −0.118762 | − | 0.326297i | ||||
\(29\) | 3.10246 | − | 1.12920i | 0.576113 | − | 0.209688i | −0.0374978 | − | 0.999297i | \(-0.511939\pi\) |
0.613611 | + | 0.789609i | \(0.289716\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.75192 | − | 3.03441i | 0.314654 | − | 0.544997i | −0.664710 | − | 0.747102i | \(-0.731445\pi\) |
0.979364 | + | 0.202105i | \(0.0647782\pi\) | |||||||
\(32\) | 0.984808 | + | 0.173648i | 0.174091 | + | 0.0306970i | ||||
\(33\) | −0.0572866 | − | 0.0682715i | −0.00997231 | − | 0.0118845i | ||||
\(34\) | 5.16466 | + | 4.33366i | 0.885732 | + | 0.743217i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 2.81785 | + | 1.02561i | 0.469642 | + | 0.170936i | ||||
\(37\) | 6.00888i | 0.987854i | 0.869503 | + | 0.493927i | \(0.164439\pi\) | ||||
−0.869503 | + | 0.493927i | \(0.835561\pi\) | |||||||
\(38\) | 1.76770 | − | 3.98437i | 0.286759 | − | 0.646351i | ||||
\(39\) | −0.0864957 | −0.0138504 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −1.38582 | − | 7.85939i | −0.216429 | − | 1.22743i | −0.878409 | − | 0.477909i | \(-0.841395\pi\) |
0.661980 | − | 0.749521i | \(-0.269716\pi\) | |||||||
\(42\) | −0.0426883 | + | 0.0508739i | −0.00658695 | + | 0.00785002i | ||||
\(43\) | 3.67317 | + | 4.37751i | 0.560153 | + | 0.667564i | 0.969579 | − | 0.244779i | \(-0.0787155\pi\) |
−0.409426 | + | 0.912343i | \(0.634271\pi\) | |||||||
\(44\) | 0.428174 | − | 2.42830i | 0.0645497 | − | 0.366079i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.810460 | + | 1.40376i | 0.119496 | + | 0.206973i | ||||
\(47\) | 4.27274 | + | 11.7392i | 0.623243 | + | 1.71234i | 0.698908 | + | 0.715212i | \(0.253670\pi\) |
−0.0756655 | + | 0.997133i | \(0.524108\pi\) | |||||||
\(48\) | −0.0123619 | − | 0.0339642i | −0.00178429 | − | 0.00490231i | ||||
\(49\) | −1.81196 | − | 3.13841i | −0.258851 | − | 0.448344i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.0423149 | − | 0.239980i | 0.00592527 | − | 0.0336039i | ||||
\(52\) | −1.53825 | − | 1.83321i | −0.213317 | − | 0.254221i | ||||
\(53\) | 1.23503 | − | 1.47185i | 0.169644 | − | 0.202174i | −0.674524 | − | 0.738253i | \(-0.735651\pi\) |
0.844167 | + | 0.536080i | \(0.180095\pi\) | |||||||
\(54\) | −0.0376497 | − | 0.213522i | −0.00512348 | − | 0.0290567i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −1.83741 | −0.245534 | ||||||||
\(57\) | −0.156663 | + | 0.0166738i | −0.0207505 | + | 0.00220849i | ||||
\(58\) | − | 3.30157i | − | 0.433518i | ||||||
\(59\) | −4.46726 | − | 1.62595i | −0.581587 | − | 0.211681i | 0.0344379 | − | 0.999407i | \(-0.489036\pi\) |
−0.616025 | + | 0.787726i | \(0.711258\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 10.4674 | + | 8.78317i | 1.34021 | + | 1.12457i | 0.981572 | + | 0.191093i | \(0.0612033\pi\) |
0.358638 | + | 0.933477i | \(0.383241\pi\) | |||||||
\(62\) | −2.25222 | − | 2.68410i | −0.286033 | − | 0.340881i | ||||
\(63\) | −5.42613 | − | 0.956772i | −0.683628 | − | 0.120542i | ||||
\(64\) | 0.500000 | − | 0.866025i | 0.0625000 | − | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −0.0837473 | + | 0.0304815i | −0.0103086 | + | 0.00375202i | ||||
\(67\) | −1.27151 | − | 3.49344i | −0.155340 | − | 0.426792i | 0.837472 | − | 0.546480i | \(-0.184033\pi\) |
−0.992812 | + | 0.119688i | \(0.961810\pi\) | |||||||
\(68\) | 5.83873 | − | 3.37099i | 0.708050 | − | 0.408793i | ||||
\(69\) | 0.0292932 | − | 0.0507373i | 0.00352648 | − | 0.00610805i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 4.46844 | − | 3.74946i | 0.530306 | − | 0.444980i | −0.337901 | − | 0.941182i | \(-0.609717\pi\) |
0.868207 | + | 0.496202i | \(0.165272\pi\) | |||||||
\(72\) | 1.92752 | − | 2.29713i | 0.227161 | − | 0.270720i | ||||
\(73\) | 0.502654 | − | 0.0886314i | 0.0588311 | − | 0.0103735i | −0.144155 | − | 0.989555i | \(-0.546046\pi\) |
0.202986 | + | 0.979182i | \(0.434935\pi\) | |||||||
\(74\) | 5.64650 | + | 2.05516i | 0.656393 | + | 0.238907i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.13950 | − | 3.02383i | −0.360125 | − | 0.346857i | ||||
\(77\) | 4.53061i | 0.516311i | ||||||||
\(78\) | −0.0295833 | + | 0.0812794i | −0.00334965 | + | 0.00920307i | ||||
\(79\) | −2.10729 | − | 11.9511i | −0.237089 | − | 1.34460i | −0.838169 | − | 0.545411i | \(-0.816374\pi\) |
0.601080 | − | 0.799189i | \(-0.294737\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 6.88539 | − | 5.77753i | 0.765044 | − | 0.641948i | ||||
\(82\) | −7.85939 | − | 1.38582i | −0.867924 | − | 0.153038i | ||||
\(83\) | −5.39755 | − | 3.11628i | −0.592459 | − | 0.342056i | 0.173610 | − | 0.984814i | \(-0.444457\pi\) |
−0.766069 | + | 0.642758i | \(0.777790\pi\) | |||||||
\(84\) | 0.0332056 | + | 0.0575138i | 0.00362303 | + | 0.00627527i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 5.36981 | − | 1.95445i | 0.579042 | − | 0.210754i | ||||
\(87\) | −0.103344 | + | 0.0596659i | −0.0110797 | + | 0.00639685i | ||||
\(88\) | −2.13541 | − | 1.23288i | −0.227635 | − | 0.131425i | ||||
\(89\) | −2.95236 | + | 16.7437i | −0.312949 | + | 1.77482i | 0.270545 | + | 0.962707i | \(0.412796\pi\) |
−0.583494 | + | 0.812117i | \(0.698315\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.36837 | + | 2.82640i | 0.353101 | + | 0.296287i | ||||
\(92\) | 1.59629 | − | 0.281470i | 0.166425 | − | 0.0293452i | ||||
\(93\) | −0.0433143 | + | 0.119005i | −0.00449148 | + | 0.0123402i | ||||
\(94\) | 12.4926 | 1.28852 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −0.0361439 | −0.00368892 | ||||||||
\(97\) | 4.67194 | − | 12.8360i | 0.474363 | − | 1.30330i | −0.439851 | − | 0.898071i | \(-0.644969\pi\) |
0.914214 | − | 0.405232i | \(-0.132809\pi\) | |||||||
\(98\) | −3.56887 | + | 0.629287i | −0.360510 | + | 0.0635676i | ||||
\(99\) | −5.66417 | − | 4.75280i | −0.569270 | − | 0.477675i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.85079 | + | 10.4964i | −0.184161 | + | 1.04443i | 0.742868 | + | 0.669438i | \(0.233465\pi\) |
−0.927029 | + | 0.374990i | \(0.877646\pi\) | |||||||
\(102\) | −0.211034 | − | 0.121841i | −0.0208955 | − | 0.0120640i | ||||
\(103\) | −8.44314 | + | 4.87465i | −0.831927 | + | 0.480313i | −0.854512 | − | 0.519431i | \(-0.826144\pi\) |
0.0225848 | + | 0.999745i | \(0.492810\pi\) | |||||||
\(104\) | −2.24877 | + | 0.818485i | −0.220510 | + | 0.0802591i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.960680 | − | 1.66395i | −0.0933095 | − | 0.161617i | ||||
\(107\) | 11.5058 | + | 6.64287i | 1.11231 | + | 0.642191i | 0.939426 | − | 0.342752i | \(-0.111359\pi\) |
0.172881 | + | 0.984943i | \(0.444692\pi\) | |||||||
\(108\) | −0.213522 | − | 0.0376497i | −0.0205462 | − | 0.00362285i | ||||
\(109\) | −1.10611 | + | 0.928135i | −0.105946 | + | 0.0888992i | −0.694222 | − | 0.719761i | \(-0.744251\pi\) |
0.588276 | + | 0.808660i | \(0.299807\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.0377137 | − | 0.213885i | −0.00357963 | − | 0.0203011i | ||||
\(112\) | −0.628432 | + | 1.72660i | −0.0593812 | + | 0.163149i | ||||
\(113\) | − | 0.841529i | − | 0.0791644i | −0.999216 | − | 0.0395822i | \(-0.987397\pi\) | ||
0.999216 | − | 0.0395822i | \(-0.0126027\pi\) | |||||||
\(114\) | −0.0379136 | + | 0.152918i | −0.00355094 | + | 0.0143221i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −3.10246 | − | 1.12920i | −0.288056 | − | 0.104844i | ||||
\(117\) | −7.06713 | + | 1.24612i | −0.653356 | + | 0.115204i | ||||
\(118\) | −3.05578 | + | 3.64174i | −0.281308 | + | 0.335250i | ||||
\(119\) | −9.48960 | + | 7.96272i | −0.869910 | + | 0.729941i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.46002 | − | 4.26089i | 0.223639 | − | 0.387353i | ||||
\(122\) | 11.8335 | − | 6.83209i | 1.07136 | − | 0.618549i | ||||
\(123\) | 0.0986562 | + | 0.271056i | 0.00889553 | + | 0.0244403i | ||||
\(124\) | −3.29253 | + | 1.19838i | −0.295678 | + | 0.107618i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −2.75492 | + | 4.77166i | −0.245427 | + | 0.425093i | ||||
\(127\) | −12.7885 | − | 2.25496i | −1.13480 | − | 0.200095i | −0.425469 | − | 0.904973i | \(-0.639891\pi\) |
−0.709329 | + | 0.704878i | \(0.751002\pi\) | |||||||
\(128\) | −0.642788 | − | 0.766044i | −0.0568149 | − | 0.0677094i | ||||
\(129\) | −0.158220 | − | 0.132763i | −0.0139305 | − | 0.0116891i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −8.39051 | − | 3.05389i | −0.733082 | − | 0.266820i | −0.0516131 | − | 0.998667i | \(-0.516436\pi\) |
−0.681469 | + | 0.731847i | \(0.738658\pi\) | |||||||
\(132\) | 0.0891221i | 0.00775708i | ||||||||
\(133\) | 6.64571 | + | 4.46991i | 0.576256 | + | 0.387590i | ||||
\(134\) | −3.71765 | −0.321156 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.17073 | − | 6.63956i | −0.100390 | − | 0.569337i | ||||
\(137\) | 2.86271 | − | 3.41165i | 0.244578 | − | 0.291477i | −0.629764 | − | 0.776786i | \(-0.716849\pi\) |
0.874343 | + | 0.485309i | \(0.161293\pi\) | |||||||
\(138\) | −0.0376586 | − | 0.0448798i | −0.00320571 | − | 0.00382042i | ||||
\(139\) | 0.210369 | − | 1.19306i | 0.0178433 | − | 0.101194i | −0.974585 | − | 0.224016i | \(-0.928083\pi\) |
0.992429 | + | 0.122822i | \(0.0391943\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −0.225767 | − | 0.391039i | −0.0190130 | − | 0.0329314i | ||||
\(142\) | −1.99505 | − | 5.48135i | −0.167421 | − | 0.459985i | ||||
\(143\) | 2.01819 | + | 5.54492i | 0.168769 | + | 0.463689i | ||||
\(144\) | −1.49935 | − | 2.59694i | −0.124946 | − | 0.216412i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0.0886314 | − | 0.502654i | 0.00733519 | − | 0.0415999i | ||||
\(147\) | 0.0841940 | + | 0.100339i | 0.00694421 | + | 0.00827578i | ||||
\(148\) | 3.86244 | − | 4.60307i | 0.317490 | − | 0.378370i | ||||
\(149\) | −1.61216 | − | 9.14300i | −0.132073 | − | 0.749024i | −0.976853 | − | 0.213910i | \(-0.931380\pi\) |
0.844780 | − | 0.535114i | \(-0.179731\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.34570 | −0.272269 | −0.136135 | − | 0.990690i | \(-0.543468\pi\) | ||||
−0.136135 | + | 0.990690i | \(0.543468\pi\) | |||||||
\(152\) | −3.91524 | + | 1.91595i | −0.317568 | + | 0.155404i | ||||
\(153\) | − | 20.2171i | − | 1.63446i | ||||||
\(154\) | 4.25738 | + | 1.54956i | 0.343069 | + | 0.124867i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0.0662595 | + | 0.0555984i | 0.00530501 | + | 0.00445143i | ||||
\(157\) | −4.53369 | − | 5.40304i | −0.361828 | − | 0.431210i | 0.554163 | − | 0.832408i | \(-0.313038\pi\) |
−0.915991 | + | 0.401198i | \(0.868594\pi\) | |||||||
\(158\) | −11.9511 | − | 2.10729i | −0.950775 | − | 0.167647i | ||||
\(159\) | −0.0347227 | + | 0.0601415i | −0.00275369 | + | 0.00476953i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −2.79868 | + | 1.01864i | −0.220567 | + | 0.0802798i | ||||
\(162\) | −3.07416 | − | 8.44619i | −0.241529 | − | 0.663595i | ||||
\(163\) | −13.7316 | + | 7.92794i | −1.07554 | + | 0.620964i | −0.929690 | − | 0.368343i | \(-0.879925\pi\) |
−0.145851 | + | 0.989307i | \(0.546592\pi\) | |||||||
\(164\) | −3.99032 | + | 6.91143i | −0.311591 | + | 0.539692i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −4.77442 | + | 4.00621i | −0.370567 | + | 0.310942i | ||||
\(167\) | −8.75846 | + | 10.4379i | −0.677750 | + | 0.807711i | −0.989817 | − | 0.142349i | \(-0.954534\pi\) |
0.312066 | + | 0.950060i | \(0.398979\pi\) | |||||||
\(168\) | 0.0654023 | − | 0.0115322i | 0.00504590 | − | 0.000889728i | ||||
\(169\) | −6.83449 | − | 2.48755i | −0.525730 | − | 0.191350i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −12.5599 | + | 3.61934i | −0.960481 | + | 0.276778i | ||||
\(172\) | − | 5.71443i | − | 0.435721i | ||||||
\(173\) | 4.11774 | − | 11.3134i | 0.313066 | − | 0.860142i | −0.678968 | − | 0.734168i | \(-0.737572\pi\) |
0.992034 | − | 0.125973i | \(-0.0402054\pi\) | |||||||
\(174\) | 0.0207217 | + | 0.117519i | 0.00157091 | + | 0.00890908i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −1.88888 | + | 1.58496i | −0.142380 | + | 0.119471i | ||||
\(177\) | 0.169216 | + | 0.0298374i | 0.0127191 | + | 0.00224271i | ||||
\(178\) | 14.7241 | + | 8.50098i | 1.10362 | + | 0.637175i | ||||
\(179\) | 8.03649 | + | 13.9196i | 0.600675 | + | 1.04040i | 0.992719 | + | 0.120454i | \(0.0384349\pi\) |
−0.392044 | + | 0.919947i | \(0.628232\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −5.40615 | + | 1.96768i | −0.401836 | + | 0.146256i | −0.535029 | − | 0.844834i | \(-0.679699\pi\) |
0.133193 | + | 0.991090i | \(0.457477\pi\) | |||||||
\(182\) | 3.80799 | − | 2.19855i | 0.282267 | − | 0.162967i | ||||
\(183\) | −0.427710 | − | 0.246939i | −0.0316173 | − | 0.0182542i | ||||
\(184\) | 0.281470 | − | 1.59629i | 0.0207502 | − | 0.117680i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0.0970138 | + | 0.0814042i | 0.00711339 | + | 0.00596885i | ||||
\(187\) | −16.3715 | + | 2.88674i | −1.19720 | + | 0.211099i | ||||
\(188\) | 4.27274 | − | 11.7392i | 0.311621 | − | 0.856172i | ||||
\(189\) | 0.398381 | 0.0289779 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −20.5460 | −1.48666 | −0.743329 | − | 0.668926i | \(-0.766754\pi\) | ||||
−0.743329 | + | 0.668926i | \(0.766754\pi\) | |||||||
\(192\) | −0.0123619 | + | 0.0339642i | −0.000892147 | + | 0.00245115i | ||||
\(193\) | 12.3238 | − | 2.17302i | 0.887089 | − | 0.156418i | 0.288506 | − | 0.957478i | \(-0.406842\pi\) |
0.598583 | + | 0.801060i | \(0.295731\pi\) | |||||||
\(194\) | −10.4640 | − | 8.78037i | −0.751274 | − | 0.630394i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.629287 | + | 3.56887i | −0.0449491 | + | 0.254919i | ||||
\(197\) | 5.21647 | + | 3.01173i | 0.371658 | + | 0.214577i | 0.674183 | − | 0.738565i | \(-0.264496\pi\) |
−0.302524 | + | 0.953142i | \(0.597829\pi\) | |||||||
\(198\) | −6.40343 | + | 3.69702i | −0.455072 | + | 0.262736i | ||||
\(199\) | 10.5749 | − | 3.84894i | 0.749633 | − | 0.272844i | 0.0611814 | − | 0.998127i | \(-0.480513\pi\) |
0.688451 | + | 0.725283i | \(0.258291\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0.0671851 | + | 0.116368i | 0.00473887 | + | 0.00820797i | ||||
\(202\) | 9.23035 | + | 5.32914i | 0.649445 | + | 0.374957i | ||||
\(203\) | 5.97418 | + | 1.05341i | 0.419305 | + | 0.0739349i | ||||
\(204\) | −0.186671 | + | 0.156636i | −0.0130696 | + | 0.0109667i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 1.69295 | + | 9.60119i | 0.117953 | + | 0.668946i | ||||
\(207\) | 1.66244 | − | 4.56751i | 0.115547 | − | 0.317464i | ||||
\(208\) | 2.39309i | 0.165931i | ||||||||
\(209\) | 4.72427 | + | 9.65403i | 0.326785 | + | 0.667783i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −13.2192 | − | 4.81141i | −0.910049 | − | 0.331231i | −0.155777 | − | 0.987792i | \(-0.549788\pi\) |
−0.754273 | + | 0.656561i | \(0.772010\pi\) | |||||||
\(212\) | −1.89217 | + | 0.333641i | −0.129955 | + | 0.0229145i | ||||
\(213\) | −0.135520 | + | 0.161507i | −0.00928570 | + | 0.0110663i | ||||
\(214\) | 10.1775 | − | 8.53991i | 0.695718 | − | 0.583776i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −0.108408 | + | 0.187768i | −0.00737624 | + | 0.0127760i | ||||
\(217\) | 5.57547 | − | 3.21900i | 0.378487 | − | 0.218520i | ||||
\(218\) | 0.493850 | + | 1.35684i | 0.0334477 | + | 0.0918969i | ||||
\(219\) | −0.0173356 | + | 0.00630963i | −0.00117143 | + | 0.000426366i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −8.06709 | + | 13.9726i | −0.542651 | + | 0.939899i | ||||
\(222\) | −0.213885 | − | 0.0377137i | −0.0143550 | − | 0.00253118i | ||||
\(223\) | 16.2641 | + | 19.3828i | 1.08913 | + | 1.29797i | 0.951555 | + | 0.307477i | \(0.0994848\pi\) |
0.137570 | + | 0.990492i | \(0.456071\pi\) | |||||||
\(224\) | 1.40754 | + | 1.18107i | 0.0940451 | + | 0.0789132i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.790779 | − | 0.287820i | −0.0526018 | − | 0.0191455i | ||||
\(227\) | − | 22.0111i | − | 1.46093i | −0.682951 | − | 0.730464i | \(-0.739304\pi\) | ||
0.682951 | − | 0.730464i | \(-0.260696\pi\) | |||||||
\(228\) | 0.130728 | + | 0.0879281i | 0.00865770 | + | 0.00582318i | ||||
\(229\) | 5.29529 | 0.349923 | 0.174961 | − | 0.984575i | \(-0.444020\pi\) | ||||
0.174961 | + | 0.984575i | \(0.444020\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.0284356 | − | 0.161266i | −0.00187092 | − | 0.0106105i | ||||
\(232\) | −2.12221 | + | 2.52915i | −0.139330 | + | 0.166047i | ||||
\(233\) | 13.2104 | + | 15.7436i | 0.865445 | + | 1.03140i | 0.999184 | + | 0.0403803i | \(0.0128569\pi\) |
−0.133740 | + | 0.991016i | \(0.542699\pi\) | |||||||
\(234\) | −1.24612 | + | 7.06713i | −0.0814617 | + | 0.461992i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 2.37698 | + | 4.11705i | 0.154728 | + | 0.267997i | ||||
\(237\) | 0.150017 | + | 0.412170i | 0.00974468 | + | 0.0267733i | ||||
\(238\) | 4.23688 | + | 11.6407i | 0.274636 | + | 0.754556i | ||||
\(239\) | 0.443585 | + | 0.768312i | 0.0286931 | + | 0.0496980i | 0.880015 | − | 0.474945i | \(-0.157532\pi\) |
−0.851322 | + | 0.524643i | \(0.824199\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.694839 | + | 3.94063i | −0.0447585 | + | 0.253838i | −0.998974 | − | 0.0452809i | \(-0.985582\pi\) |
0.954216 | + | 0.299119i | \(0.0966928\pi\) | |||||||
\(242\) | −3.16255 | − | 3.76898i | −0.203296 | − | 0.242279i | ||||
\(243\) | −0.626923 | + | 0.747138i | −0.0402171 | + | 0.0479289i | ||||
\(244\) | −2.37276 | − | 13.4566i | −0.151900 | − | 0.861471i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0.288451 | 0.0183910 | ||||||||
\(247\) | 10.1247 | + | 2.51027i | 0.644219 | + | 0.159724i | ||||
\(248\) | 3.50384i | 0.222494i | ||||||||
\(249\) | 0.211684 | + | 0.0770466i | 0.0134149 | + | 0.00488263i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −9.70480 | − | 8.14329i | −0.612561 | − | 0.514000i | 0.282894 | − | 0.959151i | \(-0.408706\pi\) |
−0.895455 | + | 0.445151i | \(0.853150\pi\) | |||||||
\(252\) | 3.54165 | + | 4.22078i | 0.223103 | + | 0.265884i | ||||
\(253\) | −3.93607 | − | 0.694035i | −0.247459 | − | 0.0436336i | ||||
\(254\) | −6.49290 | + | 11.2460i | −0.407401 | + | 0.705639i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | −4.46158 | − | 12.2581i | −0.278306 | − | 0.764639i | −0.997555 | − | 0.0698866i | \(-0.977736\pi\) |
0.719249 | − | 0.694752i | \(-0.244486\pi\) | |||||||
\(258\) | −0.178871 | + | 0.103271i | −0.0111360 | + | 0.00642937i | ||||
\(259\) | −5.52039 | + | 9.56160i | −0.343021 | + | 0.594129i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −7.58415 | + | 6.36386i | −0.469447 | + | 0.393913i | ||||
\(262\) | −5.73944 | + | 6.84000i | −0.354584 | + | 0.422577i | ||||
\(263\) | −27.8224 | + | 4.90583i | −1.71560 | + | 0.302507i | −0.943100 | − | 0.332508i | \(-0.892105\pi\) |
−0.772500 | + | 0.635015i | \(0.780994\pi\) | |||||||
\(264\) | 0.0837473 | + | 0.0304815i | 0.00515429 | + | 0.00187601i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 6.47331 | − | 4.71612i | 0.396904 | − | 0.289164i | ||||
\(267\) | − | 0.614517i | − | 0.0376079i | ||||||
\(268\) | −1.27151 | + | 3.49344i | −0.0776698 | + | 0.213396i | ||||
\(269\) | −5.13013 | − | 29.0944i | −0.312789 | − | 1.77392i | −0.584356 | − | 0.811498i | \(-0.698653\pi\) |
0.271566 | − | 0.962420i | \(-0.412458\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 20.6918 | − | 17.3624i | 1.25693 | − | 1.05469i | 0.260933 | − | 0.965357i | \(-0.415970\pi\) |
0.996001 | − | 0.0893367i | \(-0.0284747\pi\) | |||||||
\(272\) | −6.63956 | − | 1.17073i | −0.402582 | − | 0.0709861i | ||||
\(273\) | −0.137636 | − | 0.0794641i | −0.00833010 | − | 0.00480938i | ||||
\(274\) | −2.22680 | − | 3.85692i | −0.134526 | − | 0.233005i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −0.0550532 | + | 0.0200377i | −0.00331381 | + | 0.00120613i | ||||
\(277\) | 20.9386 | − | 12.0889i | 1.25808 | − | 0.726352i | 0.285378 | − | 0.958415i | \(-0.407881\pi\) |
0.972701 | + | 0.232063i | \(0.0745474\pi\) | |||||||
\(278\) | −1.04916 | − | 0.605735i | −0.0629246 | − | 0.0363295i | ||||
\(279\) | −1.82451 | + | 10.3473i | −0.109231 | + | 0.619478i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 1.83928 | + | 1.54334i | 0.109722 | + | 0.0920681i | 0.695998 | − | 0.718043i | \(-0.254962\pi\) |
−0.586276 | + | 0.810111i | \(0.699407\pi\) | |||||||
\(282\) | −0.444673 | + | 0.0784079i | −0.0264799 | + | 0.00466912i | ||||
\(283\) | 2.78778 | − | 7.65937i | 0.165716 | − | 0.455302i | −0.828842 | − | 0.559483i | \(-0.811000\pi\) |
0.994558 | + | 0.104181i | \(0.0332220\pi\) | |||||||
\(284\) | −5.83313 | −0.346133 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 5.90078 | 0.348920 | ||||||||
\(287\) | 5.01528 | − | 13.7794i | 0.296043 | − | 0.813371i | ||||
\(288\) | −2.95314 | + | 0.520718i | −0.174015 | + | 0.0306836i | ||||
\(289\) | −21.7973 | − | 18.2901i | −1.28219 | − | 1.07589i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.0857335 | + | 0.486219i | −0.00502579 | + | 0.0285027i | ||||
\(292\) | −0.442026 | − | 0.255204i | −0.0258676 | − | 0.0149347i | ||||
\(293\) | 7.96532 | − | 4.59878i | 0.465339 | − | 0.268664i | −0.248947 | − | 0.968517i | \(-0.580085\pi\) |
0.714287 | + | 0.699853i | \(0.246751\pi\) | |||||||
\(294\) | 0.123083 | − | 0.0447987i | 0.00717837 | − | 0.00261271i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −3.00444 | − | 5.20385i | −0.174630 | − | 0.302467i | ||||
\(297\) | 0.462991 | + | 0.267308i | 0.0268655 | + | 0.0155108i | ||||
\(298\) | −9.14300 | − | 1.61216i | −0.529640 | − | 0.0933898i | ||||
\(299\) | −2.97149 | + | 2.49338i | −0.171846 | + | 0.144196i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.82326 | + | 10.3402i | 0.105091 | + | 0.596002i | ||||
\(302\) | −1.14430 | + | 3.14393i | −0.0658469 | + | 0.180913i | ||||
\(303\) | − | 0.385232i | − | 0.0221310i | ||||||
\(304\) | 0.461316 | + | 4.33442i | 0.0264583 | + | 0.248596i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −18.9979 | − | 6.91467i | −1.08604 | − | 0.395285i | ||||
\(307\) | −27.9165 | + | 4.92243i | −1.59328 | + | 0.280938i | −0.898728 | − | 0.438506i | \(-0.855508\pi\) |
−0.694550 | + | 0.719444i | \(0.744397\pi\) | |||||||
\(308\) | 2.91222 | − | 3.47065i | 0.165939 | − | 0.197758i | ||||
\(309\) | 0.269937 | − | 0.226504i | 0.0153562 | − | 0.0128854i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −8.72043 | + | 15.1042i | −0.494490 | + | 0.856482i | −0.999980 | − | 0.00635057i | \(-0.997979\pi\) |
0.505490 | + | 0.862833i | \(0.331312\pi\) | |||||||
\(312\) | 0.0749075 | − | 0.0432478i | 0.00424080 | − | 0.00244843i | ||||
\(313\) | 4.51409 | + | 12.4024i | 0.255151 | + | 0.701022i | 0.999450 | + | 0.0331750i | \(0.0105619\pi\) |
−0.744298 | + | 0.667847i | \(0.767216\pi\) | |||||||
\(314\) | −6.62781 | + | 2.41233i | −0.374029 | + | 0.136135i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −6.06771 | + | 10.5096i | −0.341336 | + | 0.591210i | ||||
\(317\) | 12.0997 | + | 2.13351i | 0.679588 | + | 0.119830i | 0.502778 | − | 0.864415i | \(-0.332311\pi\) |
0.176810 | + | 0.984245i | \(0.443422\pi\) | |||||||
\(318\) | 0.0446387 | + | 0.0531983i | 0.00250321 | + | 0.00298321i | ||||
\(319\) | 6.23627 | + | 5.23285i | 0.349164 | + | 0.292983i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −0.451239 | − | 0.164238i | −0.0251857 | − | 0.00916685i | ||||
\(322\) | 2.97829i | 0.165974i | ||||||||
\(323\) | −11.9178 | + | 26.8626i | −0.663124 | + | 1.49467i | ||||
\(324\) | −8.98824 | −0.499347 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 2.75334 | + | 15.6150i | 0.152494 | + | 0.864834i | ||||
\(327\) | 0.0335464 | − | 0.0399791i | 0.00185512 | − | 0.00221085i | ||||
\(328\) | 5.12985 | + | 6.11352i | 0.283249 | + | 0.337563i | ||||
\(329\) | −3.98594 | + | 22.6054i | −0.219752 | + | 1.24628i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.498297 | − | 0.863076i | −0.0273889 | − | 0.0474389i | 0.852006 | − | 0.523532i | \(-0.175386\pi\) |
−0.879395 | + | 0.476093i | \(0.842053\pi\) | |||||||
\(332\) | 2.13166 | + | 5.85669i | 0.116990 | + | 0.321428i | ||||
\(333\) | −6.16279 | − | 16.9321i | −0.337719 | − | 0.927875i | ||||
\(334\) | 6.81287 | + | 11.8002i | 0.372784 | + | 0.645681i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0.0115322 | − | 0.0654023i | 0.000629132 | − | 0.00356799i | ||||
\(337\) | −5.50174 | − | 6.55672i | −0.299699 | − | 0.357167i | 0.595088 | − | 0.803660i | \(-0.297117\pi\) |
−0.894787 | + | 0.446493i | \(0.852673\pi\) | |||||||
\(338\) | −4.67507 | + | 5.57153i | −0.254290 | + | 0.303051i | ||||
\(339\) | 0.00528171 | + | 0.0299541i | 0.000286863 | + | 0.00162688i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 8.63961 | 0.467861 | ||||||||
\(342\) | −0.894680 | + | 13.0403i | −0.0483788 | + | 0.705141i | ||||
\(343\) | − | 19.5205i | − | 1.05401i | ||||||
\(344\) | −5.36981 | − | 1.95445i | −0.289521 | − | 0.105377i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −9.22276 | − | 7.73882i | −0.495819 | − | 0.416041i | ||||
\(347\) | 4.26665 | + | 5.08479i | 0.229046 | + | 0.272966i | 0.868311 | − | 0.496020i | \(-0.165206\pi\) |
−0.639265 | + | 0.768986i | \(0.720761\pi\) | |||||||
\(348\) | 0.117519 | + | 0.0207217i | 0.00629967 | + | 0.00111080i | ||||
\(349\) | 15.5221 | − | 26.8851i | 0.830881 | − | 1.43913i | −0.0664599 | − | 0.997789i | \(-0.521170\pi\) |
0.897341 | − | 0.441339i | \(-0.145496\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0.487570 | − | 0.177461i | 0.0260246 | − | 0.00947216i | ||||
\(352\) | 0.843338 | + | 2.31705i | 0.0449501 | + | 0.123499i | ||||
\(353\) | 15.3831 | − | 8.88145i | 0.818761 | − | 0.472712i | −0.0312277 | − | 0.999512i | \(-0.509942\pi\) |
0.849989 | + | 0.526800i | \(0.176608\pi\) | |||||||
\(354\) | 0.0859133 | − | 0.148806i | 0.00456624 | − | 0.00790896i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 13.0243 | − | 10.9287i | 0.690284 | − | 0.579217i | ||||
\(357\) | 0.287804 | − | 0.342991i | 0.0152322 | − | 0.0181530i | ||||
\(358\) | 15.8288 | − | 2.79104i | 0.836578 | − | 0.147511i | ||||
\(359\) | −4.82640 | − | 1.75667i | −0.254728 | − | 0.0927134i | 0.211500 | − | 0.977378i | \(-0.432165\pi\) |
−0.466228 | + | 0.884665i | \(0.654387\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 18.8220 | + | 2.59491i | 0.990630 | + | 0.136574i | ||||
\(362\) | 5.75310i | 0.302376i | ||||||||
\(363\) | −0.0608214 | + | 0.167105i | −0.00319229 | + | 0.00877076i | ||||
\(364\) | −0.763547 | − | 4.33029i | −0.0400207 | − | 0.226969i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −0.378332 | + | 0.317458i | −0.0197757 | + | 0.0165938i | ||||
\(367\) | 5.65859 | + | 0.997763i | 0.295376 | + | 0.0520828i | 0.319372 | − | 0.947629i | \(-0.396528\pi\) |
−0.0239963 | + | 0.999712i | \(0.507639\pi\) | |||||||
\(368\) | −1.40376 | − | 0.810460i | −0.0731759 | − | 0.0422481i | ||||
\(369\) | 11.9657 | + | 20.7253i | 0.622911 | + | 1.07891i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 3.31742 | − | 1.20744i | 0.172232 | − | 0.0626873i | ||||
\(372\) | 0.109676 | − | 0.0633212i | 0.00568641 | − | 0.00328305i | ||||
\(373\) | −32.7231 | − | 18.8927i | −1.69434 | − | 0.978227i | −0.950939 | − | 0.309379i | \(-0.899879\pi\) |
−0.743399 | − | 0.668848i | \(-0.766788\pi\) | |||||||
\(374\) | −2.88674 | + | 16.3715i | −0.149270 | + | 0.846551i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −9.56992 | − | 8.03012i | −0.493531 | − | 0.414122i | ||||
\(377\) | 7.78093 | − | 1.37199i | 0.400738 | − | 0.0706610i | ||||
\(378\) | 0.136254 | − | 0.374355i | 0.00700816 | − | 0.0192548i | ||||
\(379\) | 32.2663 | 1.65741 | 0.828703 | − | 0.559689i | \(-0.189079\pi\) | ||||
0.828703 | + | 0.559689i | \(0.189079\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0.469358 | 0.0240459 | ||||||||
\(382\) | −7.02715 | + | 19.3069i | −0.359540 | + | 0.987829i | ||||
\(383\) | 21.4490 | − | 3.78204i | 1.09599 | − | 0.193253i | 0.403715 | − | 0.914885i | \(-0.367719\pi\) |
0.692277 | + | 0.721632i | \(0.256608\pi\) | |||||||
\(384\) | 0.0276878 | + | 0.0232329i | 0.00141294 | + | 0.00118560i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 2.17302 | − | 12.3238i | 0.110604 | − | 0.627267i | ||||
\(387\) | −14.8401 | − | 8.56792i | −0.754363 | − | 0.435532i | ||||
\(388\) | −11.8298 | + | 6.82991i | −0.600565 | + | 0.346736i | ||||
\(389\) | 9.10078 | − | 3.31241i | 0.461428 | − | 0.167946i | −0.100837 | − | 0.994903i | \(-0.532152\pi\) |
0.562265 | + | 0.826957i | \(0.309930\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −5.46410 | − | 9.46411i | −0.276332 | − | 0.478620i | ||||
\(392\) | 3.13841 | + | 1.81196i | 0.158514 | + | 0.0915178i | ||||
\(393\) | 0.317826 | + | 0.0560412i | 0.0160322 | + | 0.00282691i | ||||
\(394\) | 4.61424 | − | 3.87181i | 0.232462 | − | 0.195059i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 1.28396 | + | 7.28171i | 0.0645216 | + | 0.365920i | ||||
\(397\) | 6.29151 | − | 17.2858i | 0.315762 | − | 0.867549i | −0.675703 | − | 0.737174i | \(-0.736160\pi\) |
0.991465 | − | 0.130375i | \(-0.0416180\pi\) | |||||||
\(398\) | − | 11.2535i | − | 0.564089i | ||||||
\(399\) | −0.264607 | − | 0.117395i | −0.0132469 | − | 0.00587710i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 34.3332 | + | 12.4963i | 1.71452 | + | 0.624034i | 0.997342 | − | 0.0728556i | \(-0.0232112\pi\) |
0.717178 | + | 0.696890i | \(0.245433\pi\) | |||||||
\(402\) | 0.132329 | − | 0.0233331i | 0.00659996 | − | 0.00116375i | ||||
\(403\) | 5.38978 | − | 6.42329i | 0.268484 | − | 0.319967i | ||||
\(404\) | 8.16472 | − | 6.85102i | 0.406210 | − | 0.340851i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 3.03317 | − | 5.25361i | 0.150534 | − | 0.260732i | ||||
\(407\) | −12.8314 | + | 7.40822i | −0.636030 | + | 0.367212i | ||||
\(408\) | 0.0833440 | + | 0.228986i | 0.00412614 | + | 0.0113365i | ||||
\(409\) | 34.1168 | − | 12.4175i | 1.68697 | − | 0.614005i | 0.692728 | − | 0.721199i | \(-0.256409\pi\) |
0.994238 | + | 0.107194i | \(0.0341866\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −0.0804851 | + | 0.139404i | −0.00397004 | + | 0.00687631i | ||||
\(412\) | 9.60119 | + | 1.69295i | 0.473016 | + | 0.0834056i | ||||
\(413\) | −5.61473 | − | 6.69138i | −0.276283 | − | 0.329261i | ||||
\(414\) | −3.72347 | − | 3.12436i | −0.182998 | − | 0.153554i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 2.24877 | + | 0.818485i | 0.110255 | + | 0.0401295i | ||||
\(417\) | 0.0437872i | 0.00214427i | ||||||||
\(418\) | 10.6876 | − | 1.13749i | 0.522749 | − | 0.0556366i | ||||
\(419\) | −39.5001 | −1.92970 | −0.964852 | − | 0.262793i | \(-0.915356\pi\) | ||||
−0.964852 | + | 0.262793i | \(0.915356\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.44853 | − | 13.8863i | −0.119334 | − | 0.676777i | −0.984513 | − | 0.175313i | \(-0.943906\pi\) |
0.865179 | − | 0.501464i | \(-0.167205\pi\) | |||||||
\(422\) | −9.04248 | + | 10.7764i | −0.440181 | + | 0.524588i | ||||
\(423\) | −24.0799 | − | 28.6973i | −1.17080 | − | 1.39531i | ||||
\(424\) | −0.333641 | + | 1.89217i | −0.0162030 | + | 0.0918919i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0.105416 | + | 0.182586i | 0.00510743 | + | 0.00884632i | ||||
\(427\) | 8.58701 | + | 23.5926i | 0.415554 | + | 1.14173i | ||||
\(428\) | −4.54399 | − | 12.4845i | −0.219642 | − | 0.603462i | ||||
\(429\) | −0.106639 | − | 0.184703i | −0.00514856 | − | 0.00891757i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 3.65410 | − | 20.7234i | 0.176012 | − | 0.998213i | −0.760958 | − | 0.648802i | \(-0.775270\pi\) |
0.936969 | − | 0.349411i | \(-0.113618\pi\) | |||||||
\(432\) | 0.139367 | + | 0.166091i | 0.00670529 | + | 0.00799105i | ||||
\(433\) | 3.37958 | − | 4.02763i | 0.162412 | − | 0.193555i | −0.678701 | − | 0.734415i | \(-0.737457\pi\) |
0.841113 | + | 0.540860i | \(0.181901\pi\) | |||||||
\(434\) | −1.11795 | − | 6.34019i | −0.0536631 | − | 0.304339i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1.44392 | 0.0691513 | ||||||||
\(437\) | −4.90138 | + | 5.08887i | −0.234465 | + | 0.243434i | ||||
\(438\) | 0.0184481i | 0.000881486i | ||||||||
\(439\) | 34.2836 | + | 12.4782i | 1.63627 | + | 0.595552i | 0.986380 | − | 0.164480i | \(-0.0525947\pi\) |
0.649885 | + | 0.760032i | \(0.274817\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 8.32463 | + | 6.98519i | 0.396411 | + | 0.332628i | ||||
\(442\) | 10.3709 | + | 12.3595i | 0.493291 | + | 0.587881i | ||||
\(443\) | −9.09046 | − | 1.60289i | −0.431901 | − | 0.0761558i | −0.0465285 | − | 0.998917i | \(-0.514816\pi\) |
−0.385372 | + | 0.922761i | \(0.625927\pi\) | |||||||
\(444\) | −0.108592 | + | 0.188087i | −0.00515356 | + | 0.00892623i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 23.7765 | − | 8.65395i | 1.12585 | − | 0.409777i | ||||
\(447\) | 0.114769 | + | 0.315325i | 0.00542838 | + | 0.0149144i | ||||
\(448\) | 1.59124 | − | 0.918706i | 0.0751792 | − | 0.0434048i | ||||
\(449\) | −11.4148 | + | 19.7711i | −0.538699 | + | 0.933054i | 0.460275 | + | 0.887776i | \(0.347751\pi\) |
−0.998974 | + | 0.0452780i | \(0.985583\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 15.0744 | − | 12.6490i | 0.709828 | − | 0.595616i | ||||
\(452\) | −0.540925 | + | 0.644649i | −0.0254430 | + | 0.0303217i | ||||
\(453\) | 0.119090 | − | 0.0209987i | 0.00559532 | − | 0.000986605i | ||||
\(454\) | −20.6837 | − | 7.52824i | −0.970733 | − | 0.353318i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0.127337 | − | 0.0927713i | 0.00596311 | − | 0.00434442i | ||||
\(457\) | 7.82515i | 0.366045i | 0.983109 | + | 0.183022i | \(0.0585881\pi\) | ||||
−0.983109 | + | 0.183022i | \(0.941412\pi\) | |||||||
\(458\) | 1.81110 | − | 4.97594i | 0.0846269 | − | 0.232511i | ||||
\(459\) | 0.253834 | + | 1.43956i | 0.0118480 | + | 0.0671931i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −3.01184 | + | 2.52724i | −0.140276 | + | 0.117705i | −0.710225 | − | 0.703974i | \(-0.751407\pi\) |
0.569950 | + | 0.821679i | \(0.306963\pi\) | |||||||
\(462\) | −0.161266 | − | 0.0284356i | −0.00750278 | − | 0.00132294i | ||||
\(463\) | 14.9791 | + | 8.64820i | 0.696139 | + | 0.401916i | 0.805908 | − | 0.592041i | \(-0.201678\pi\) |
−0.109769 | + | 0.993957i | \(0.535011\pi\) | |||||||
\(464\) | 1.65079 | + | 2.85924i | 0.0766358 | + | 0.132737i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 19.3124 | − | 7.02913i | 0.894628 | − | 0.325618i | ||||
\(467\) | 18.2097 | − | 10.5134i | 0.842644 | − | 0.486501i | −0.0155178 | − | 0.999880i | \(-0.504940\pi\) |
0.858162 | + | 0.513379i | \(0.171606\pi\) | |||||||
\(468\) | 6.21473 | + | 3.58807i | 0.287276 | + | 0.165859i | ||||
\(469\) | 1.18616 | − | 6.72707i | 0.0547719 | − | 0.310627i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0.195287 | + | 0.163865i | 0.00899836 | + | 0.00755052i | ||||
\(472\) | 4.68173 | − | 0.825516i | 0.215494 | − | 0.0379974i | ||||
\(473\) | −4.81920 | + | 13.2406i | −0.221587 | + | 0.608805i | ||||
\(474\) | 0.438622 | 0.0201466 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 12.3878 | 0.567794 | ||||||||
\(477\) | −1.97057 | + | 5.41410i | −0.0902263 | + | 0.247895i | ||||
\(478\) | 0.873692 | − | 0.154055i | 0.0399617 | − | 0.00704633i | ||||
\(479\) | −16.1878 | − | 13.5832i | −0.739640 | − | 0.620631i | 0.193101 | − | 0.981179i | \(-0.438145\pi\) |
−0.932741 | + | 0.360547i | \(0.882590\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.49703 | + | 14.1613i | −0.113855 | + | 0.645702i | ||||
\(482\) | 3.46533 | + | 2.00071i | 0.157841 | + | 0.0911298i | ||||
\(483\) | 0.0932252 | − | 0.0538236i | 0.00424190 | − | 0.00244906i | ||||
\(484\) | −4.62333 | + | 1.68276i | −0.210151 | + | 0.0764889i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0.487660 | + | 0.844651i | 0.0221207 | + | 0.0383142i | ||||
\(487\) | −14.8959 | − | 8.60015i | −0.674998 | − | 0.389710i | 0.122970 | − | 0.992410i | \(-0.460758\pi\) |
−0.797968 | + | 0.602700i | \(0.794091\pi\) | |||||||
\(488\) | −13.4566 | − | 2.37276i | −0.609152 | − | 0.107410i | ||||
\(489\) | 0.439015 | − | 0.368377i | 0.0198529 | − | 0.0166586i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −5.75424 | − | 32.6339i | −0.259685 | − | 1.47275i | −0.783753 | − | 0.621072i | \(-0.786697\pi\) |
0.524068 | − | 0.851676i | \(-0.324414\pi\) | |||||||
\(492\) | 0.0986562 | − | 0.271056i | 0.00444776 | − | 0.0122201i | ||||
\(493\) | 22.2591i | 1.00250i | ||||||||
\(494\) | 5.82173 | − | 8.65554i | 0.261932 | − | 0.389431i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 3.29253 | + | 1.19838i | 0.147839 | + | 0.0538090i | ||||
\(497\) | 10.5550 | − | 1.86114i | 0.473458 | − | 0.0834834i | ||||
\(498\) | 0.144800 | − | 0.172566i | 0.00648865 | − | 0.00773287i | ||||
\(499\) | 24.4903 | − | 20.5498i | 1.09634 | − | 0.919936i | 0.0991642 | − | 0.995071i | \(-0.468383\pi\) |
0.997173 | + | 0.0751346i | \(0.0239386\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0.246244 | − | 0.426507i | 0.0110014 | − | 0.0190549i | ||||
\(502\) | −10.9714 | + | 6.33436i | −0.489679 | + | 0.282716i | ||||
\(503\) | 8.63311 | + | 23.7193i | 0.384931 | + | 1.05759i | 0.969253 | + | 0.246068i | \(0.0791387\pi\) |
−0.584321 | + | 0.811523i | \(0.698639\pi\) | |||||||
\(504\) | 5.17755 | − | 1.88447i | 0.230626 | − | 0.0839411i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −1.99840 | + | 3.46132i | −0.0888395 | + | 0.153875i | ||||
\(507\) | 0.258885 | + | 0.0456484i | 0.0114975 | + | 0.00202732i | ||||
\(508\) | 8.34711 | + | 9.94770i | 0.370343 | + | 0.441358i | ||||
\(509\) | 13.0617 | + | 10.9600i | 0.578948 | + | 0.485795i | 0.884601 | − | 0.466348i | \(-0.154430\pi\) |
−0.305654 | + | 0.952143i | \(0.598875\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.881271 | + | 0.320756i | 0.0389851 | + | 0.0141894i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 0.848888 | − | 0.415410i | 0.0374793 | − | 0.0183408i | ||||
\(514\) | −13.0448 | −0.575381 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0.0358656 | + | 0.203404i | 0.00157890 | + | 0.00895437i | ||||
\(517\) | −19.8003 | + | 23.5971i | −0.870816 | + | 1.03780i | ||||
\(518\) | 7.09688 | + | 8.45773i | 0.311819 | + | 0.371612i | ||||
\(519\) | −0.0755636 | + | 0.428542i | −0.00331687 | + | 0.0188109i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 3.40256 | + | 5.89342i | 0.149069 | + | 0.258195i | 0.930884 | − | 0.365316i | \(-0.119039\pi\) |
−0.781815 | + | 0.623511i | \(0.785706\pi\) | |||||||
\(522\) | 3.38614 | + | 9.30333i | 0.148207 | + | 0.407196i | ||||
\(523\) | −1.78561 | − | 4.90593i | −0.0780794 | − | 0.214521i | 0.894511 | − | 0.447045i | \(-0.147524\pi\) |
−0.972591 | + | 0.232524i | \(0.925302\pi\) | |||||||
\(524\) | 4.46449 | + | 7.73273i | 0.195032 | + | 0.337806i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −4.90583 | + | 27.8224i | −0.213904 | + | 1.21311i | ||||
\(527\) | 15.1845 | + | 18.0961i | 0.661445 | + | 0.788280i | ||||
\(528\) | 0.0572866 | − | 0.0682715i | 0.00249308 | − | 0.00297113i | ||||
\(529\) | 3.53767 | + | 20.0631i | 0.153812 | + | 0.872309i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 14.2557 | 0.618643 | ||||||||
\(532\) | −2.21770 | − | 7.69593i | −0.0961496 | − | 0.333661i | ||||
\(533\) | − | 19.0984i | − | 0.827243i | ||||||
\(534\) | −0.577457 | − | 0.210177i | −0.0249890 | − | 0.00909526i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 2.84788 | + | 2.38966i | 0.123010 | + | 0.103217i | ||||
\(537\) | −0.373421 | − | 0.445026i | −0.0161143 | − | 0.0192043i | ||||
\(538\) | −29.0944 | − | 5.13013i | −1.25435 | − | 0.221176i | ||||
\(539\) | 4.46785 | − | 7.73855i | 0.192444 | − | 0.333323i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 24.5890 | − | 8.94968i | 1.05717 | − | 0.384777i | 0.245803 | − | 0.969320i | \(-0.420948\pi\) |
0.811363 | + | 0.584543i | \(0.198726\pi\) | |||||||
\(542\) | −9.23836 | − | 25.3822i | −0.396822 | − | 1.09026i | ||||
\(543\) | 0.180081 | − | 0.103970i | 0.00772802 | − | 0.00446177i | ||||
\(544\) | −3.37099 | + | 5.83873i | −0.144530 | + | 0.250333i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −0.121746 | + | 0.102157i | −0.00521025 | + | 0.00437192i | ||||
\(547\) | 22.8424 | − | 27.2225i | 0.976671 | − | 1.16395i | −0.00978982 | − | 0.999952i | \(-0.503116\pi\) |
0.986461 | − | 0.163999i | \(-0.0524393\pi\) | |||||||
\(548\) | −4.38593 | + | 0.773358i | −0.187358 | + | 0.0330362i | ||||
\(549\) | −38.5036 | − | 14.0142i | −1.64330 | − | 0.598111i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 13.8285 | − | 3.98490i | 0.589114 | − | 0.169763i | ||||
\(552\) | 0.0585864i | 0.00249360i | ||||||||
\(553\) | 7.62628 | − | 20.9530i | 0.324303 | − | 0.891014i | ||||
\(554\) | −4.19844 | − | 23.8105i | −0.178374 | − | 1.01161i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −0.928039 | + | 0.778717i | −0.0393576 | + | 0.0330250i | ||||
\(557\) | −30.2250 | − | 5.32949i | −1.28068 | − | 0.225818i | −0.508409 | − | 0.861116i | \(-0.669766\pi\) |
−0.772267 | + | 0.635298i | \(0.780877\pi\) | |||||||
\(558\) | 9.09928 | + | 5.25347i | 0.385203 | + | 0.222397i | ||||
\(559\) | 6.83758 | + | 11.8430i | 0.289199 | + | 0.500907i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0.564623 | − | 0.205506i | 0.0238384 | − | 0.00867647i | ||||
\(562\) | 2.07934 | − | 1.20051i | 0.0877116 | − | 0.0506403i | ||||
\(563\) | −27.0238 | − | 15.6022i | −1.13892 | − | 0.657553i | −0.192754 | − | 0.981247i | \(-0.561742\pi\) |
−0.946162 | + | 0.323694i | \(0.895075\pi\) | |||||||
\(564\) | −0.0784079 | + | 0.444673i | −0.00330157 | + | 0.0187241i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −6.24398 | − | 5.23932i | −0.262454 | − | 0.220225i | ||||
\(567\) | 16.2642 | − | 2.86782i | 0.683032 | − | 0.120437i | ||||
\(568\) | −1.99505 | + | 5.48135i | −0.0837104 | + | 0.229992i | ||||
\(569\) | 20.6053 | 0.863820 | 0.431910 | − | 0.901917i | \(-0.357840\pi\) | ||||
0.431910 | + | 0.901917i | \(0.357840\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.38785 | 0.183626 | 0.0918129 | − | 0.995776i | \(-0.470734\pi\) | ||||
0.0918129 | + | 0.995776i | \(0.470734\pi\) | |||||||
\(572\) | 2.01819 | − | 5.54492i | 0.0843846 | − | 0.231845i | ||||
\(573\) | 0.731332 | − | 0.128953i | 0.0305518 | − | 0.00538711i | ||||
\(574\) | −11.2330 | − | 9.42565i | −0.468858 | − | 0.393419i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −0.520718 | + | 2.95314i | −0.0216966 | + | 0.123047i | ||||
\(577\) | 25.8786 | + | 14.9410i | 1.07734 | + | 0.622004i | 0.930178 | − | 0.367109i | \(-0.119652\pi\) |
0.147164 | + | 0.989112i | \(0.452986\pi\) | |||||||
\(578\) | −24.6422 | + | 14.2272i | −1.02498 | + | 0.591772i | ||||
\(579\) | −0.425026 | + | 0.154697i | −0.0176635 | + | 0.00642898i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −5.72589 | − | 9.91753i | −0.237550 | − | 0.411448i | ||||
\(582\) | 0.427574 | + | 0.246860i | 0.0177235 | + | 0.0102327i | ||||
\(583\) | 4.66563 | + | 0.822676i | 0.193231 | + | 0.0340718i | ||||
\(584\) | −0.390995 | + | 0.328084i | −0.0161795 | + | 0.0135762i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.59714 | − | 9.05783i | −0.0659773 | − | 0.374176i | ||||
\(587\) | −13.4687 | + | 37.0049i | −0.555912 | + | 1.52736i | 0.269601 | + | 0.962972i | \(0.413108\pi\) |
−0.825513 | + | 0.564383i | \(0.809114\pi\) | |||||||
\(588\) | − | 0.130983i | − | 0.00540163i | ||||||
\(589\) | 8.52387 | − | 12.6730i | 0.351220 | − | 0.522181i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −0.204582 | − | 0.0744617i | −0.00841538 | − | 0.00306295i | ||||
\(592\) | −5.91759 | + | 1.04343i | −0.243212 | + | 0.0428848i | ||||
\(593\) | 25.7834 | − | 30.7274i | 1.05880 | − | 1.26182i | 0.0949157 | − | 0.995485i | \(-0.469742\pi\) |
0.963880 | − | 0.266338i | \(-0.0858137\pi\) | |||||||
\(594\) | 0.409540 | − | 0.343645i | 0.0168036 | − | 0.0140999i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −4.64202 | + | 8.04022i | −0.190145 | + | 0.329340i | ||||
\(597\) | −0.352253 | + | 0.203373i | −0.0144168 | + | 0.00832352i | ||||
\(598\) | 1.32670 | + | 3.64507i | 0.0542527 | + | 0.149058i | ||||
\(599\) | 29.5623 | − | 10.7598i | 1.20788 | − | 0.439634i | 0.341915 | − | 0.939731i | \(-0.388924\pi\) |
0.865970 | + | 0.500097i | \(0.166702\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 17.2445 | − | 29.8683i | 0.703418 | − | 1.21836i | −0.263842 | − | 0.964566i | \(-0.584990\pi\) |
0.967260 | − | 0.253789i | \(-0.0816769\pi\) | |||||||
\(602\) | 10.3402 | + | 1.82326i | 0.421437 | + | 0.0743107i | ||||
\(603\) | 7.16585 | + | 8.53992i | 0.291816 | + | 0.347773i | ||||
\(604\) | 2.56296 | + | 2.15058i | 0.104285 | + | 0.0875057i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −0.362000 | − | 0.131757i | −0.0147052 | − | 0.00535227i | ||||
\(607\) | − | 12.9979i | − | 0.527568i | −0.964582 | − | 0.263784i | \(-0.915029\pi\) | ||
0.964582 | − | 0.263784i | \(-0.0849706\pi\) | |||||||
\(608\) | 4.23080 | + | 1.04896i | 0.171582 | + | 0.0425411i | ||||
\(609\) | −0.219261 | −0.00888492 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 5.19139 | + | 29.4418i | 0.210021 | + | 1.19109i | ||||
\(612\) | −12.9953 | + | 15.4872i | −0.525305 | + | 0.626034i | ||||
\(613\) | 5.59985 | + | 6.67364i | 0.226176 | + | 0.269546i | 0.867184 | − | 0.497989i | \(-0.165928\pi\) |
−0.641008 | + | 0.767534i | \(0.721483\pi\) | |||||||
\(614\) | −4.92243 | + | 27.9165i | −0.198653 | + | 1.12662i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −2.26530 | − | 3.92362i | −0.0912717 | − | 0.158087i | ||||
\(617\) | −8.33044 | − | 22.8877i | −0.335371 | − | 0.921424i | −0.986689 | − | 0.162619i | \(-0.948006\pi\) |
0.651318 | − | 0.758805i | \(-0.274216\pi\) | |||||||
\(618\) | −0.120520 | − | 0.331127i | −0.00484804 | − | 0.0133199i | ||||
\(619\) | 0.822483 | + | 1.42458i | 0.0330584 | + | 0.0572588i | 0.882081 | − | 0.471097i | \(-0.156142\pi\) |
−0.849023 | + | 0.528356i | \(0.822809\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −0.0610272 | + | 0.346102i | −0.00244894 | + | 0.0138886i | ||||
\(622\) | 11.2108 | + | 13.3605i | 0.449511 | + | 0.535706i | ||||
\(623\) | −20.0804 | + | 23.9309i | −0.804505 | + | 0.958772i | ||||
\(624\) | −0.0150198 | − | 0.0851816i | −0.000601274 | − | 0.00340999i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 13.1983 | 0.527510 | ||||||||
\(627\) | −0.228751 | − | 0.313982i | −0.00913545 | − | 0.0125392i | ||||
\(628\) | 7.05317i | 0.281452i | ||||||||
\(629\) | −38.0686 | − | 13.8558i | −1.51790 | − | 0.552469i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −33.3220 | − | 27.9605i | −1.32653 | − | 1.11309i | −0.984876 | − | 0.173261i | \(-0.944570\pi\) |
−0.341651 | − | 0.939827i | \(-0.610986\pi\) | |||||||
\(632\) | 7.80050 | + | 9.29628i | 0.310287 | + | 0.369786i | ||||
\(633\) | 0.500734 | + | 0.0882929i | 0.0199024 | + | 0.00350933i | ||||
\(634\) | 6.14319 | − | 10.6403i | 0.243977 | − | 0.422581i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0.0652574 | − | 0.0237517i | 0.00258762 | − | 0.000941818i | ||||
\(637\) | −2.96613 | − | 8.14936i | −0.117522 | − | 0.322890i | ||||
\(638\) | 7.05020 | − | 4.07043i | 0.279120 | − | 0.161150i | ||||
\(639\) | −8.74589 | + | 15.1483i | −0.345982 | + | 0.599258i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −28.2069 | + | 23.6684i | −1.11411 | + | 0.934846i | −0.998292 | − | 0.0584253i | \(-0.981392\pi\) |
−0.115814 | + | 0.993271i | \(0.536948\pi\) | |||||||
\(642\) | −0.308666 | + | 0.367854i | −0.0121821 | + | 0.0145180i | ||||
\(643\) | 14.5118 | − | 2.55882i | 0.572288 | − | 0.100910i | 0.119988 | − | 0.992775i | \(-0.461715\pi\) |
0.452301 | + | 0.891866i | \(0.350603\pi\) | |||||||
\(644\) | 2.79868 | + | 1.01864i | 0.110284 | + | 0.0401399i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 21.1664 | + | 20.3866i | 0.832783 | + | 0.802100i | ||||
\(647\) | 6.04813i | 0.237776i | 0.992908 | + | 0.118888i | \(0.0379330\pi\) | ||||
−0.992908 | + | 0.118888i | \(0.962067\pi\) | |||||||
\(648\) | −3.07416 | + | 8.44619i | −0.120764 | + | 0.331798i | ||||
\(649\) | −2.03552 | − | 11.5440i | −0.0799012 | − | 0.453142i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.178254 | + | 0.149573i | −0.00698633 | + | 0.00586223i | ||||
\(652\) | 15.6150 | + | 2.75334i | 0.611530 | + | 0.107829i | ||||
\(653\) | 2.50167 | + | 1.44434i | 0.0978978 | + | 0.0565213i | 0.548150 | − | 0.836380i | \(-0.315332\pi\) |
−0.450252 | + | 0.892902i | \(0.648666\pi\) | |||||||
\(654\) | −0.0260945 | − | 0.0451970i | −0.00102037 | − | 0.00176734i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 7.49934 | − | 2.72954i | 0.292800 | − | 0.106571i | ||||
\(657\) | −1.32550 | + | 0.765278i | −0.0517127 | + | 0.0298563i | ||||
\(658\) | 19.8789 | + | 11.4771i | 0.774958 | + | 0.447422i | ||||
\(659\) | −2.83413 | + | 16.0731i | −0.110402 | + | 0.626120i | 0.878523 | + | 0.477701i | \(0.158530\pi\) |
−0.988925 | + | 0.148419i | \(0.952581\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 21.8640 | + | 18.3461i | 0.850410 | + | 0.713579i | 0.959880 | − | 0.280411i | \(-0.0904708\pi\) |
−0.109470 | + | 0.993990i | \(0.534915\pi\) | |||||||
\(662\) | −0.981453 | + | 0.173057i | −0.0381453 | + | 0.00672604i | ||||
\(663\) | 0.199450 | − | 0.547984i | 0.00774599 | − | 0.0212819i | ||||
\(664\) | 6.23256 | 0.241870 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −18.0188 | −0.698214 | ||||||||
\(667\) | −1.83035 | + | 5.02884i | −0.0708714 | + | 0.194718i | ||||
\(668\) | 13.4187 | − | 2.36609i | 0.519187 | − | 0.0915466i | ||||
\(669\) | −0.700571 | − | 0.587849i | −0.0270856 | − | 0.0227275i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −5.85065 | + | 33.1807i | −0.225862 | + | 1.28093i | ||||
\(672\) | −0.0575138 | − | 0.0332056i | −0.00221864 | − | 0.00128093i | ||||
\(673\) | 5.39921 | − | 3.11723i | 0.208124 | − | 0.120161i | −0.392315 | − | 0.919831i | \(-0.628326\pi\) |
0.600439 | + | 0.799670i | \(0.294992\pi\) | |||||||
\(674\) | −8.04300 | + | 2.92741i | −0.309805 | + | 0.112760i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.63656 | + | 6.29870i | 0.139868 | + | 0.242258i | ||||
\(677\) | −12.6570 | − | 7.30750i | −0.486446 | − | 0.280850i | 0.236653 | − | 0.971594i | \(-0.423950\pi\) |
−0.723099 | + | 0.690744i | \(0.757283\pi\) | |||||||
\(678\) | 0.0299541 | + | 0.00528171i | 0.00115038 | + | 0.000202843i | ||||
\(679\) | 19.2267 | − | 16.1331i | 0.737854 | − | 0.619133i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0.138149 | + | 0.783481i | 0.00529388 | + | 0.0300231i | ||||
\(682\) | 2.95492 | − | 8.11858i | 0.113150 | − | 0.310877i | ||||
\(683\) | 47.0671i | 1.80097i | 0.434885 | + | 0.900486i | \(0.356789\pi\) | ||||
−0.434885 | + | 0.900486i | \(0.643211\pi\) | |||||||
\(684\) | 11.9479 | + | 5.30079i | 0.456840 | + | 0.202681i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −18.3433 | − | 6.67641i | −0.700350 | − | 0.254906i | ||||
\(687\) | −0.188485 | + | 0.0332350i | −0.00719114 | + | 0.00126799i | ||||
\(688\) | −3.67317 | + | 4.37751i | −0.140038 | + | 0.166891i | ||||
\(689\) | 3.52226 | − | 2.95553i | 0.134188 | − | 0.112597i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 13.6742 | − | 23.6844i | 0.520191 | − | 0.900997i | −0.479534 | − | 0.877523i | \(-0.659194\pi\) |
0.999724 | − | 0.0234732i | \(-0.00747242\pi\) | |||||||
\(692\) | −10.4265 | + | 6.01973i | −0.396355 | + | 0.228836i | ||||
\(693\) | −4.64665 | − | 12.7666i | −0.176512 | − | 0.484962i | ||||
\(694\) | 6.23742 | − | 2.27024i | 0.236769 | − | 0.0861770i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0.0596659 | − | 0.103344i | 0.00226163 | − | 0.00391726i | ||||
\(697\) | 52.9879 | + | 9.34319i | 2.00706 | + | 0.353899i | ||||
\(698\) | −19.9549 | − | 23.7813i | −0.755303 | − | 0.900135i | ||||
\(699\) | −0.569035 | − | 0.477477i | −0.0215229 | − | 0.0180598i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −18.6359 | − | 6.78290i | −0.703867 | − | 0.256187i | −0.0348060 | − | 0.999394i | \(-0.511081\pi\) |
−0.669061 | + | 0.743207i | \(0.733304\pi\) | |||||||
\(702\) | − | 0.518861i | − | 0.0195831i | ||||||
\(703\) | −1.79279 | + | 26.1307i | −0.0676164 | + | 0.985538i | ||||
\(704\) | 2.46576 | 0.0929317 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −3.08450 | − | 17.4931i | −0.116087 | − | 0.658360i | ||||
\(707\) | −12.5881 | + | 15.0020i | −0.473425 | + | 0.564206i | ||||
\(708\) | −0.110448 | − | 0.131627i | −0.00415089 | − | 0.00494684i | ||||
\(709\) | −5.68008 | + | 32.2133i | −0.213320 | + | 1.20980i | 0.670479 | + | 0.741929i | \(0.266089\pi\) |
−0.883799 | + | 0.467868i | \(0.845022\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 18.1952 | + | 31.5150i | 0.682374 | + | 1.18191i | ||||
\(712\) | −5.81501 | − | 15.9766i | −0.217927 | − | 0.598749i | ||||
\(713\) | 1.94248 | + | 5.33693i | 0.0727466 | + | 0.199870i | ||||
\(714\) | −0.223872 | − | 0.387757i | −0.00837819 | − | 0.0145114i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 2.79104 | − | 15.8288i | 0.104306 | − | 0.591550i | ||||
\(717\) | −0.0206115 | − | 0.0245638i | −0.000769750 | − | 0.000917353i | ||||
\(718\) | −3.30146 | + | 3.93452i | −0.123209 | + | 0.146835i | ||||
\(719\) | 0.563968 | + | 3.19842i | 0.0210325 | + | 0.119281i | 0.993516 | − | 0.113689i | \(-0.0362667\pi\) |
−0.972484 | + | 0.232970i | \(0.925156\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −17.9135 | −0.667132 | ||||||||
\(722\) | 8.87591 | − | 16.7994i | 0.330327 | − | 0.625207i | ||||
\(723\) | − | 0.144627i | − | 0.00537873i | ||||||
\(724\) | 5.40615 | + | 1.96768i | 0.200918 | + | 0.0731282i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0.136226 | + | 0.114307i | 0.00505580 | + | 0.00424232i | ||||
\(727\) | −12.4762 | − | 14.8686i | −0.462718 | − | 0.551446i | 0.483344 | − | 0.875430i | \(-0.339422\pi\) |
−0.946062 | + | 0.323984i | \(0.894977\pi\) | |||||||
\(728\) | −4.33029 | − | 0.763547i | −0.160491 | − | 0.0282989i | ||||
\(729\) | −13.4647 | + | 23.3216i | −0.498694 | + | 0.863764i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −36.2032 | + | 13.1769i | −1.33902 | + | 0.487364i | ||||
\(732\) | 0.168916 | + | 0.464093i | 0.00624331 | + | 0.0171534i | ||||
\(733\) | 10.4575 | − | 6.03763i | 0.386256 | − | 0.223005i | −0.294281 | − | 0.955719i | \(-0.595080\pi\) |
0.680537 | + | 0.732714i | \(0.261747\pi\) | |||||||
\(734\) | 2.87294 | − | 4.97608i | 0.106042 | − | 0.183671i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.24170 | + | 1.04191i | −0.0457695 | + | 0.0384052i | ||||
\(737\) | 5.89231 | − | 7.02218i | 0.217046 | − | 0.258665i | ||||
\(738\) | 23.5679 | − | 4.15566i | 0.867547 | − | 0.152972i | ||||
\(739\) | 2.86243 | + | 1.04184i | 0.105296 | + | 0.0383246i | 0.394131 | − | 0.919054i | \(-0.371046\pi\) |
−0.288835 | + | 0.957379i | \(0.593268\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.376142 | − | 0.0258066i | −0.0138179 | − | 0.000948028i | ||||
\(742\) | − | 3.53033i | − | 0.129602i | ||||||
\(743\) | 13.5975 | − | 37.3589i | 0.498845 | − | 1.37057i | −0.393547 | − | 0.919305i | \(-0.628752\pi\) |
0.892392 | − | 0.451261i | \(-0.149026\pi\) | |||||||
\(744\) | −0.0219912 | − | 0.124718i | −0.000806238 | − | 0.00457240i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −28.9453 | + | 24.2880i | −1.05976 | + | 0.889246i | ||||
\(747\) | 18.4056 | + | 3.24540i | 0.673426 | + | 0.118743i | ||||
\(748\) | 14.3969 | + | 8.31204i | 0.526402 | + | 0.303918i | ||||
\(749\) | 12.2057 | + | 21.1409i | 0.445986 | + | 0.772471i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −33.6285 | + | 12.2398i | −1.22712 | + | 0.446636i | −0.872611 | − | 0.488416i | \(-0.837575\pi\) |
−0.354511 | + | 0.935052i | \(0.615353\pi\) | |||||||
\(752\) | −10.8189 | + | 6.24632i | −0.394526 | + | 0.227780i | ||||
\(753\) | 0.396550 | + | 0.228948i | 0.0144511 | + | 0.00834334i | ||||
\(754\) | 1.37199 | − | 7.78093i | 0.0499648 | − | 0.283365i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −0.305177 | − | 0.256074i | −0.0110992 | − | 0.00931333i | ||||
\(757\) | −49.1480 | + | 8.66613i | −1.78632 | + | 0.314976i | −0.966310 | − | 0.257380i | \(-0.917141\pi\) |
−0.820006 | + | 0.572355i | \(0.806030\pi\) | |||||||
\(758\) | 11.0357 | − | 30.3204i | 0.400835 | − | 1.10128i | ||||
\(759\) | 0.144460 | 0.00524355 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −36.2563 | −1.31429 | −0.657145 | − | 0.753764i | \(-0.728236\pi\) | ||||
−0.657145 | + | 0.753764i | \(0.728236\pi\) | |||||||
\(762\) | 0.160530 | − | 0.441052i | 0.00581538 | − | 0.0159776i | ||||
\(763\) | −2.61277 | + | 0.460702i | −0.0945886 | + | 0.0166785i | ||||
\(764\) | 15.7392 | + | 13.2067i | 0.569423 | + | 0.477803i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 3.78204 | − | 21.4490i | 0.136651 | − | 0.774984i | ||||
\(767\) | −9.85247 | − | 5.68833i | −0.355752 | − | 0.205394i | ||||
\(768\) | 0.0313015 | − | 0.0180720i | 0.00112950 | − | 0.000652116i | ||||
\(769\) | −5.18278 | + | 1.88638i | −0.186896 | + | 0.0680246i | −0.433773 | − | 0.901022i | \(-0.642818\pi\) |
0.246877 | + | 0.969047i | \(0.420596\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0.235745 | + | 0.408322i | 0.00849014 | + | 0.0147054i | ||||
\(772\) | −10.8374 | − | 6.25697i | −0.390046 | − | 0.225193i | ||||
\(773\) | −37.8158 | − | 6.66795i | −1.36014 | − | 0.239830i | −0.554475 | − | 0.832200i | \(-0.687081\pi\) |
−0.805666 | + | 0.592371i | \(0.798192\pi\) | |||||||
\(774\) | −13.1268 | + | 11.0147i | −0.471833 | + | 0.395915i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 2.37200 | + | 13.4523i | 0.0851500 | + | 0.482910i | ||||
\(777\) | 0.136486 | − | 0.374991i | 0.00489639 | − | 0.0134527i | ||||
\(778\) | − | 9.68485i | − | 0.347219i | ||||||
\(779\) | −3.68159 | − | 34.5914i | −0.131907 | − | 1.23937i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 13.5157 | + | 4.91930i | 0.483629 | + | 0.176026i | ||||
\(782\) | −10.7622 | + | 1.89766i | −0.384855 | + | 0.0678603i | ||||
\(783\) | 0.460129 | − | 0.548361i | 0.0164437 | − | 0.0195968i | ||||
\(784\) | 2.77608 | − | 2.32941i | 0.0991459 | − | 0.0831933i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0.161364 | − | 0.279491i | 0.00575567 | − | 0.00996912i | ||||
\(787\) | −2.70250 | + | 1.56029i | −0.0963339 | + | 0.0556184i | −0.547393 | − | 0.836876i | \(-0.684380\pi\) |
0.451059 | + | 0.892494i | \(0.351046\pi\) | |||||||
\(788\) | −2.06015 | − | 5.66021i | −0.0733897 | − | 0.201636i | ||||
\(789\) | 0.959541 | − | 0.349244i | 0.0341606 | − | 0.0124334i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0.773118 | − | 1.33908i | 0.0274889 | − | 0.0476122i | ||||
\(792\) | 7.28171 | + | 1.28396i | 0.258744 | + | 0.0456236i | ||||
\(793\) | 21.0189 | + | 25.0494i | 0.746404 | + | 0.889530i | ||||
\(794\) | −14.0915 | − | 11.8242i | −0.500089 | − | 0.419624i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −10.5749 | − | 3.84894i | −0.374816 | − | 0.136422i | ||||
\(797\) | 0.491495i | 0.0174096i | 0.999962 | + | 0.00870482i | \(0.00277087\pi\) | ||||
−0.999962 | + | 0.00870482i | \(0.997229\pi\) | |||||||
\(798\) | −0.200816 | + | 0.208498i | −0.00710882 | + | 0.00738075i | ||||
\(799\) | −84.2252 | −2.97967 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −8.85322 | − | 50.2091i | −0.312813 | − | 1.77405i | ||||
\(802\) | 23.4853 | − | 27.9887i | 0.829296 | − | 0.988316i | ||||
\(803\) | 0.808975 | + | 0.964098i | 0.0285481 | + | 0.0340223i | ||||
\(804\) | 0.0233331 | − | 0.132329i | 0.000822897 | − | 0.00466688i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −4.19250 | − | 7.26163i | −0.147675 | − | 0.255780i | ||||
\(807\) | 0.365212 | + | 1.00341i | 0.0128561 | + | 0.0353218i | ||||
\(808\) | −3.64535 | − | 10.0155i | −0.128243 | − | 0.352345i | ||||
\(809\) | 16.8276 | + | 29.1463i | 0.591628 | + | 1.02473i | 0.994013 | + | 0.109259i | \(0.0348478\pi\) |
−0.402386 | + | 0.915470i | \(0.631819\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −8.35435 | + | 47.3798i | −0.293361 | + | 1.66373i | 0.380430 | + | 0.924810i | \(0.375776\pi\) |
−0.673791 | + | 0.738922i | \(0.735335\pi\) | |||||||
\(812\) | −3.89937 | − | 4.64709i | −0.136841 | − | 0.163081i | ||||
\(813\) | −0.627547 | + | 0.747881i | −0.0220090 | + | 0.0262293i | ||||
\(814\) | 2.57285 | + | 14.5913i | 0.0901783 | + | 0.511426i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0.243682 | 0.00853056 | ||||||||
\(817\) | 14.6674 | + | 20.1323i | 0.513146 | + | 0.704340i | ||||
\(818\) | − | 36.3063i | − | 1.26942i | ||||||
\(819\) | −12.3903 | − | 4.50972i | −0.432954 | − | 0.157582i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −1.45115 | − | 1.21766i | −0.0506456 | − | 0.0424967i | 0.617114 | − | 0.786874i | \(-0.288302\pi\) |
−0.667759 | + | 0.744377i | \(0.732746\pi\) | |||||||
\(822\) | 0.103470 | + | 0.123310i | 0.00360892 | + | 0.00430094i | ||||
\(823\) | −26.1532 | − | 4.61152i | −0.911643 | − | 0.160747i | −0.301894 | − | 0.953342i | \(-0.597619\pi\) |
−0.609749 | + | 0.792594i | \(0.708730\pi\) | |||||||
\(824\) | 4.87465 | − | 8.44314i | 0.169816 | − | 0.294131i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −8.20819 | + | 2.98754i | −0.285599 | + | 0.103950i | ||||
\(827\) | 8.82334 | + | 24.2419i | 0.306818 | + | 0.842974i | 0.993272 | + | 0.115802i | \(0.0369438\pi\) |
−0.686455 | + | 0.727173i | \(0.740834\pi\) | |||||||
\(828\) | −4.20944 | + | 2.43032i | −0.146288 | + | 0.0844595i | ||||
\(829\) | −13.9819 | + | 24.2173i | −0.485611 | + | 0.841102i | −0.999863 | − | 0.0165364i | \(-0.994736\pi\) |
0.514253 | + | 0.857639i | \(0.328069\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −0.669432 | + | 0.561720i | −0.0232223 | + | 0.0194859i | ||||
\(832\) | 1.53825 | − | 1.83321i | 0.0533292 | − | 0.0635553i | ||||
\(833\) | 24.0612 | − | 4.24264i | 0.833672 | − | 0.146999i | ||||
\(834\) | 0.0411465 | + | 0.0149761i | 0.00142479 | + | 0.000518581i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 2.58649 | − | 10.4321i | 0.0894556 | − | 0.360802i | ||||
\(837\) | − | 0.759689i | − | 0.0262587i | ||||||
\(838\) | −13.5098 | + | 37.1179i | −0.466689 | + | 1.28222i | ||||
\(839\) | −8.66822 | − | 49.1599i | −0.299260 | − | 1.69719i | −0.649364 | − | 0.760478i | \(-0.724965\pi\) |
0.350104 | − | 0.936711i | \(-0.386146\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −13.8651 | + | 11.6342i | −0.478107 | + | 0.401180i | ||||
\(842\) | −13.8863 | − | 2.44853i | −0.478554 | − | 0.0843819i | ||||
\(843\) | −0.0751555 | − | 0.0433910i | −0.00258849 | − | 0.00149447i | ||||
\(844\) | 7.03380 | + | 12.1829i | 0.242114 | + | 0.419353i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −35.2024 | + | 12.8126i | −1.21028 | + | 0.440507i | ||||
\(847\) | 7.82900 | − | 4.52008i | 0.269008 | − | 0.155312i | ||||
\(848\) | 1.66395 | + | 0.960680i | 0.0571401 | + | 0.0329899i | ||||
\(849\) | −0.0511579 | + | 0.290131i | −0.00175573 | + | 0.00995726i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −7.46121 | − | 6.26070i | −0.255767 | − | 0.214614i | ||||
\(852\) | 0.207629 | − | 0.0366106i | 0.00711326 | − | 0.00125426i | ||||
\(853\) | −2.72117 | + | 7.47637i | −0.0931712 | + | 0.255986i | −0.977521 | − | 0.210840i | \(-0.932380\pi\) |
0.884349 | + | 0.466826i | \(0.154602\pi\) | |||||||
\(854\) | 25.1067 | 0.859135 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −13.2857 | −0.454097 | ||||||||
\(857\) | 8.60350 | − | 23.6379i | 0.293890 | − | 0.807456i | −0.701598 | − | 0.712573i | \(-0.747530\pi\) |
0.995488 | − | 0.0948835i | \(-0.0302479\pi\) | |||||||
\(858\) | −0.210037 | + | 0.0370352i | −0.00717055 | + | 0.00126436i | ||||
\(859\) | −2.65725 | − | 2.22970i | −0.0906643 | − | 0.0760764i | 0.596329 | − | 0.802740i | \(-0.296625\pi\) |
−0.686993 | + | 0.726664i | \(0.741070\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −0.0920342 | + | 0.521952i | −0.00313652 | + | 0.0177881i | ||||
\(862\) | −18.2239 | − | 10.5216i | −0.620708 | − | 0.358366i | ||||
\(863\) | −35.4817 | + | 20.4854i | −1.20781 | + | 0.697331i | −0.962281 | − | 0.272058i | \(-0.912296\pi\) |
−0.245531 | + | 0.969389i | \(0.578962\pi\) | |||||||
\(864\) | 0.203741 | − | 0.0741555i | 0.00693140 | − | 0.00252282i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −2.62885 | − | 4.55330i | −0.0893318 | − | 0.154727i | ||||
\(867\) | 0.890665 | + | 0.514225i | 0.0302486 | + | 0.0174640i | ||||
\(868\) | −6.34019 | − | 1.11795i | −0.215200 | − | 0.0379456i | ||||
\(869\) | 22.9223 | − | 19.2341i | 0.777587 | − | 0.652473i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.54489 | − | 8.76150i | −0.0523466 | − | 0.296872i | ||||
\(872\) | 0.493850 | − | 1.35684i | 0.0167239 | − | 0.0459485i | ||||
\(873\) | 40.9616i | 1.38634i | ||||||||
\(874\) | 3.10561 | + | 6.34629i | 0.105049 | + | 0.214667i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0.0173356 | + | 0.00630963i | 0.000585715 | + | 0.000213183i | ||||
\(877\) | −24.4825 | + | 4.31693i | −0.826716 | + | 0.145772i | −0.570969 | − | 0.820972i | \(-0.693432\pi\) |
−0.255747 | + | 0.966744i | \(0.582321\pi\) | |||||||
\(878\) | 23.4513 | − | 27.9482i | 0.791445 | − | 0.943207i | ||||
\(879\) | −0.254661 | + | 0.213686i | −0.00858949 | + | 0.00720744i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 7.87057 | − | 13.6322i | 0.265166 | − | 0.459281i | −0.702441 | − | 0.711742i | \(-0.747907\pi\) |
0.967607 | + | 0.252461i | \(0.0812398\pi\) | |||||||
\(882\) | 9.41112 | − | 5.43351i | 0.316889 | − | 0.182956i | ||||
\(883\) | 2.65398 | + | 7.29174i | 0.0893134 | + | 0.245386i | 0.976305 | − | 0.216399i | \(-0.0694312\pi\) |
−0.886992 | + | 0.461786i | \(0.847209\pi\) | |||||||
\(884\) | 15.1612 | − | 5.51821i | 0.509925 | − | 0.185598i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −4.61535 | + | 7.99402i | −0.155056 | + | 0.268564i | ||||
\(887\) | −33.5420 | − | 5.91436i | −1.12623 | − | 0.198585i | −0.420655 | − | 0.907221i | \(-0.638200\pi\) |
−0.705574 | + | 0.708636i | \(0.749311\pi\) | |||||||
\(888\) | 0.139604 | + | 0.166373i | 0.00468479 | + | 0.00558311i | ||||
\(889\) | −18.2780 | − | 15.3371i | −0.613025 | − | 0.514389i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 20.8262 | + | 7.58013i | 0.697705 | + | 0.253944i | ||||
\(892\) | − | 25.3025i | − | 0.847189i | ||||||
\(893\) | 15.0783 | + | 52.3250i | 0.504575 | + | 1.75099i | ||||
\(894\) | 0.335562 | 0.0112229 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −0.319063 | − | 1.80950i | −0.0106591 | − | 0.0604510i | ||||
\(897\) | 0.0901204 | − | 0.107401i | 0.00300903 | − | 0.00358603i | ||||
\(898\) | 14.6746 | + | 17.4885i | 0.489698 | + | 0.583600i | ||||
\(899\) | 2.00879 | − | 11.3924i | 0.0669970 | − | 0.379959i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 6.47689 | + | 11.2183i | 0.215776 | + | 0.373736i | ||||
\(902\) | −6.73037 | − | 18.4915i | −0.224097 | − | 0.615701i | ||||
\(903\) | −0.129798 | − | 0.356616i | −0.00431939 | − | 0.0118674i | ||||
\(904\) | 0.420765 | + | 0.728786i | 0.0139944 | + | 0.0242391i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0.0209987 | − | 0.119090i | 0.000697635 | − | 0.00395649i | ||||
\(907\) | −3.09024 | − | 3.68281i | −0.102610 | − | 0.122286i | 0.712296 | − | 0.701880i | \(-0.247656\pi\) |
−0.814905 | + | 0.579594i | \(0.803211\pi\) | |||||||
\(908\) | −14.1485 | + | 16.8615i | −0.469533 | + | 0.559568i | ||||
\(909\) | −5.54996 | − | 31.4754i | −0.184081 | − | 1.04397i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 9.14462 | 0.302975 | 0.151487 | − | 0.988459i | \(-0.451594\pi\) | ||||
0.151487 | + | 0.988459i | \(0.451594\pi\) | |||||||
\(912\) | −0.0436247 | − | 0.151387i | −0.00144456 | − | 0.00501294i | ||||
\(913\) | − | 15.3680i | − | 0.508606i | ||||||
\(914\) | 7.35323 | + | 2.67636i | 0.243223 | + | 0.0885260i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −4.05643 | − | 3.40375i | −0.134028 | − | 0.112463i | ||||
\(917\) | −10.5457 | − | 12.5679i | −0.348250 | − | 0.415029i | ||||
\(918\) | 1.43956 | + | 0.253834i | 0.0475127 | + | 0.00837777i | ||||
\(919\) | −10.5408 | + | 18.2572i | −0.347709 | + | 0.602251i | −0.985842 | − | 0.167676i | \(-0.946374\pi\) |
0.638133 | + | 0.769926i | \(0.279707\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0.962788 | − | 0.350426i | 0.0317249 | − | 0.0115469i | ||||
\(922\) | 1.34471 | + | 3.69457i | 0.0442858 | + | 0.121674i | ||||
\(923\) | 12.0890 | − | 6.97961i | 0.397915 | − | 0.229737i | ||||
\(924\) | −0.0818769 | + | 0.141815i | −0.00269355 | + | 0.00466537i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 13.2498 | − | 11.1179i | 0.435416 | − | 0.365357i | ||||
\(927\) | 18.7920 | − | 22.3954i | 0.617210 | − | 0.735563i | ||||
\(928\) | 3.25141 | − | 0.573312i | 0.106733 | − | 0.0188199i | ||||
\(929\) | 17.6774 | + | 6.43406i | 0.579978 | + | 0.211095i | 0.615316 | − | 0.788281i | \(-0.289029\pi\) |
−0.0353379 | + | 0.999375i | \(0.511251\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −6.94326 | − | 14.1885i | −0.227556 | − | 0.465010i | ||||
\(932\) | − | 20.5518i | − | 0.673196i | ||||||
\(933\) | 0.215603 | − | 0.592364i | 0.00705852 | − | 0.0193931i | ||||
\(934\) | −3.65126 | − | 20.7073i | −0.119473 | − | 0.677564i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 5.49725 | − | 4.61274i | 0.179683 | − | 0.150772i | ||||
\(937\) | 18.9224 | + | 3.33653i | 0.618168 | + | 0.109000i | 0.473958 | − | 0.880548i | \(-0.342825\pi\) |
0.144210 | + | 0.989547i | \(0.453936\pi\) | |||||||
\(938\) | −5.91568 | − | 3.41542i | −0.193154 | − | 0.111517i | ||||
\(939\) | −0.238519 | − | 0.413127i | −0.00778378 | − | 0.0134819i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −14.6200 | + | 5.32125i | −0.476598 | + | 0.173468i | −0.569139 | − | 0.822241i | \(-0.692723\pi\) |
0.0925407 | + | 0.995709i | \(0.470501\pi\) | |||||||
\(942\) | 0.220775 | − | 0.127465i | 0.00719324 | − | 0.00415302i | ||||
\(943\) | 11.2029 | + | 6.46798i | 0.364816 | + | 0.210626i | ||||
\(944\) | 0.825516 | − | 4.68173i | 0.0268683 | − | 0.152377i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 10.7939 | + | 9.05713i | 0.350939 | + | 0.294473i | ||||
\(947\) | −21.8389 | + | 3.85079i | −0.709670 | + | 0.125134i | −0.516820 | − | 0.856094i | \(-0.672884\pi\) |
−0.192850 | + | 0.981228i | \(0.561773\pi\) | |||||||
\(948\) | 0.150017 | − | 0.412170i | 0.00487234 | − | 0.0133866i | ||||
\(949\) | 1.22145 | 0.0396500 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −0.444078 | −0.0144002 | ||||||||
\(952\) | 4.23688 | − | 11.6407i | 0.137318 | − | 0.377278i | ||||
\(953\) | 4.88046 | − | 0.860556i | 0.158094 | − | 0.0278762i | −0.0940411 | − | 0.995568i | \(-0.529979\pi\) |
0.252135 | + | 0.967692i | \(0.418867\pi\) | |||||||
\(954\) | 4.41362 | + | 3.70346i | 0.142896 | + | 0.119904i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 0.154055 | − | 0.873692i | 0.00498251 | − | 0.0282572i | ||||
\(957\) | −0.254822 | − | 0.147121i | −0.00823722 | − | 0.00475576i | ||||
\(958\) | −18.3006 | + | 10.5658i | −0.591265 | + | 0.341367i | ||||
\(959\) | 7.68958 | − | 2.79878i | 0.248309 | − | 0.0903772i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 9.36155 | + | 16.2147i | 0.301986 | + | 0.523054i | ||||
\(962\) | 12.4533 | + | 7.18990i | 0.401510 | + | 0.231812i | ||||
\(963\) | −39.2346 | − | 6.91812i | −1.26432 | − | 0.222933i | ||||
\(964\) | 3.06526 | − | 2.57206i | 0.0987255 | − | 0.0828406i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −0.0186927 | − | 0.106012i | −0.000601429 | − | 0.00341087i | ||||
\(967\) | 5.89275 | − | 16.1902i | 0.189498 | − | 0.520642i | −0.808166 | − | 0.588955i | \(-0.799539\pi\) |
0.997664 | + | 0.0683131i | \(0.0217617\pi\) | |||||||
\(968\) | 4.92005i | 0.158136i | ||||||||
\(969\) | 0.255613 | − | 1.03097i | 0.00821148 | − | 0.0331195i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 3.57394 | + | 1.30081i | 0.114693 | + | 0.0417449i | 0.398729 | − | 0.917069i | \(-0.369451\pi\) |
−0.284036 | + | 0.958814i | \(0.591674\pi\) | |||||||
\(972\) | 0.960502 | − | 0.169362i | 0.0308081 | − | 0.00543230i | ||||
\(973\) | 1.43082 | − | 1.70519i | 0.0458701 | − | 0.0546659i | ||||
\(974\) | −13.1762 | + | 11.0561i | −0.422193 | + | 0.354262i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −6.83209 | + | 11.8335i | −0.218690 | + | 0.378782i | ||||
\(977\) | 53.5131 | − | 30.8958i | 1.71204 | − | 0.988445i | 0.780227 | − | 0.625496i | \(-0.215103\pi\) |
0.931809 | − | 0.362949i | \(-0.118230\pi\) | |||||||
\(978\) | −0.196009 | − | 0.538531i | −0.00626769 | − | 0.0172203i | ||||
\(979\) | −39.3944 | + | 14.3384i | −1.25905 | + | 0.458257i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 2.16494 | − | 3.74978i | 0.0691212 | − | 0.119721i | ||||
\(982\) | −32.6339 | − | 5.75424i | −1.04139 | − | 0.183625i | ||||
\(983\) | −7.66042 | − | 9.12934i | −0.244330 | − | 0.291181i | 0.629917 | − | 0.776662i | \(-0.283089\pi\) |
−0.874247 | + | 0.485482i | \(0.838644\pi\) | |||||||
\(984\) | −0.220967 | − | 0.185413i | −0.00704416 | − | 0.00591075i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 20.9167 | + | 7.61307i | 0.666125 | + | 0.242450i | ||||
\(987\) | − | 0.829652i | − | 0.0264081i | ||||||
\(988\) | −6.14240 | − | 8.43100i | −0.195416 | − | 0.268226i | ||||
\(989\) | −9.26263 | −0.294535 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 2.80361 | + | 15.9001i | 0.0890596 | + | 0.505082i | 0.996407 | + | 0.0846996i | \(0.0269931\pi\) |
−0.907347 | + | 0.420383i | \(0.861896\pi\) | |||||||
\(992\) | 2.25222 | − | 2.68410i | 0.0715082 | − | 0.0852202i | ||||
\(993\) | 0.0231537 | + | 0.0275935i | 0.000734761 | + | 0.000875654i | ||||
\(994\) | 1.86114 | − | 10.5550i | 0.0590317 | − | 0.334785i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −0.112635 | − | 0.195089i | −0.00356896 | − | 0.00618162i | ||||
\(997\) | −14.5471 | − | 39.9680i | −0.460713 | − | 1.26580i | −0.924951 | − | 0.380088i | \(-0.875894\pi\) |
0.464238 | − | 0.885711i | \(-0.346328\pi\) | |||||||
\(998\) | −10.9343 | − | 30.0418i | −0.346120 | − | 0.950958i | ||||
\(999\) | 0.651412 | + | 1.12828i | 0.0206098 | + | 0.0356971i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 950.2.u.g.99.5 | 36 | ||
5.2 | odd | 4 | 190.2.k.d.61.2 | ✓ | 18 | ||
5.3 | odd | 4 | 950.2.l.i.251.2 | 18 | |||
5.4 | even | 2 | inner | 950.2.u.g.99.2 | 36 | ||
19.5 | even | 9 | inner | 950.2.u.g.499.2 | 36 | ||
95.24 | even | 18 | inner | 950.2.u.g.499.5 | 36 | ||
95.43 | odd | 36 | 950.2.l.i.651.2 | 18 | |||
95.47 | odd | 36 | 3610.2.a.bi.1.5 | 9 | |||
95.62 | odd | 36 | 190.2.k.d.81.2 | yes | 18 | ||
95.67 | even | 36 | 3610.2.a.bj.1.5 | 9 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
190.2.k.d.61.2 | ✓ | 18 | 5.2 | odd | 4 | ||
190.2.k.d.81.2 | yes | 18 | 95.62 | odd | 36 | ||
950.2.l.i.251.2 | 18 | 5.3 | odd | 4 | |||
950.2.l.i.651.2 | 18 | 95.43 | odd | 36 | |||
950.2.u.g.99.2 | 36 | 5.4 | even | 2 | inner | ||
950.2.u.g.99.5 | 36 | 1.1 | even | 1 | trivial | ||
950.2.u.g.499.2 | 36 | 19.5 | even | 9 | inner | ||
950.2.u.g.499.5 | 36 | 95.24 | even | 18 | inner | ||
3610.2.a.bi.1.5 | 9 | 95.47 | odd | 36 | |||
3610.2.a.bj.1.5 | 9 | 95.67 | even | 36 |