Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(59,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.r (of order \(10\), degree \(4\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 59.1 | ||
Character | \(\chi\) | \(=\) | 300.59 |
Dual form | 300.2.r.a.239.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41059 | − | 0.101112i | −0.997441 | − | 0.0714973i | ||||
\(3\) | −1.18137 | + | 1.26664i | −0.682062 | + | 0.731295i | ||||
\(4\) | 1.97955 | + | 0.285257i | 0.989776 | + | 0.142629i | ||||
\(5\) | −0.243022 | + | 2.22282i | −0.108683 | + | 0.994076i | ||||
\(6\) | 1.79450 | − | 1.66726i | 0.732602 | − | 0.680658i | ||||
\(7\) | −4.47645 | −1.69194 | −0.845969 | − | 0.533232i | \(-0.820977\pi\) | ||||
−0.845969 | + | 0.533232i | \(0.820977\pi\) | |||||||
\(8\) | −2.76350 | − | 0.602540i | −0.977046 | − | 0.213030i | ||||
\(9\) | −0.208752 | − | 2.99273i | −0.0695840 | − | 0.997576i | ||||
\(10\) | 0.567561 | − | 3.11093i | 0.179479 | − | 0.983762i | ||||
\(11\) | 1.05245 | + | 0.764650i | 0.317326 | + | 0.230551i | 0.735033 | − | 0.678031i | \(-0.237166\pi\) |
−0.417708 | + | 0.908581i | \(0.637166\pi\) | |||||||
\(12\) | −2.69989 | + | 2.17039i | −0.779392 | + | 0.626537i | ||||
\(13\) | 0.736621 | + | 1.01387i | 0.204302 | + | 0.281197i | 0.898857 | − | 0.438242i | \(-0.144399\pi\) |
−0.694555 | + | 0.719440i | \(0.744399\pi\) | |||||||
\(14\) | 6.31445 | + | 0.452624i | 1.68761 | + | 0.120969i | ||||
\(15\) | −2.52842 | − | 2.93379i | −0.652834 | − | 0.757501i | ||||
\(16\) | 3.83726 | + | 1.12936i | 0.959314 | + | 0.282341i | ||||
\(17\) | 1.61336 | − | 4.96542i | 0.391298 | − | 1.20429i | −0.540510 | − | 0.841338i | \(-0.681769\pi\) |
0.931808 | − | 0.362953i | \(-0.118231\pi\) | |||||||
\(18\) | −0.00813776 | + | 4.24263i | −0.00191809 | + | 0.999998i | ||||
\(19\) | −3.21344 | − | 1.04411i | −0.737215 | − | 0.239536i | −0.0837439 | − | 0.996487i | \(-0.526688\pi\) |
−0.653471 | + | 0.756952i | \(0.726688\pi\) | |||||||
\(20\) | −1.11515 | + | 4.33087i | −0.249356 | + | 0.968412i | ||||
\(21\) | 5.28832 | − | 5.67004i | 1.15401 | − | 1.23731i | ||||
\(22\) | −1.40726 | − | 1.18503i | −0.300030 | − | 0.252649i | ||||
\(23\) | 3.06736 | − | 4.22186i | 0.639590 | − | 0.880320i | −0.359004 | − | 0.933336i | \(-0.616884\pi\) |
0.998594 | + | 0.0530165i | \(0.0168836\pi\) | |||||||
\(24\) | 4.02791 | − | 2.78854i | 0.822193 | − | 0.569209i | ||||
\(25\) | −4.88188 | − | 1.08039i | −0.976376 | − | 0.216078i | ||||
\(26\) | −0.936558 | − | 1.50464i | −0.183674 | − | 0.295085i | ||||
\(27\) | 4.03732 | + | 3.27109i | 0.776983 | + | 0.629522i | ||||
\(28\) | −8.86136 | − | 1.27694i | −1.67464 | − | 0.241319i | ||||
\(29\) | −6.47783 | + | 2.10477i | −1.20290 | + | 0.390847i | −0.840828 | − | 0.541302i | \(-0.817931\pi\) |
−0.362075 | + | 0.932149i | \(0.617931\pi\) | |||||||
\(30\) | 3.26993 | + | 4.39404i | 0.597004 | + | 0.802238i | ||||
\(31\) | −6.27594 | − | 2.03918i | −1.12719 | − | 0.366247i | −0.314684 | − | 0.949197i | \(-0.601898\pi\) |
−0.812508 | + | 0.582950i | \(0.801898\pi\) | |||||||
\(32\) | −5.29862 | − | 1.98107i | −0.936672 | − | 0.350207i | ||||
\(33\) | −2.21186 | + | 0.429744i | −0.385036 | + | 0.0748089i | ||||
\(34\) | −2.77786 | + | 6.84106i | −0.476400 | + | 1.17323i | ||||
\(35\) | 1.08788 | − | 9.95035i | 0.183885 | − | 1.68192i | ||||
\(36\) | 0.440462 | − | 5.98381i | 0.0734103 | − | 0.997302i | ||||
\(37\) | −2.72687 | − | 3.75321i | −0.448295 | − | 0.617025i | 0.523735 | − | 0.851881i | \(-0.324538\pi\) |
−0.972030 | + | 0.234856i | \(0.924538\pi\) | |||||||
\(38\) | 4.42729 | + | 1.79774i | 0.718202 | + | 0.291631i | ||||
\(39\) | −2.15443 | − | 0.264720i | −0.344985 | − | 0.0423891i | ||||
\(40\) | 2.01093 | − | 5.99635i | 0.317956 | − | 0.948105i | ||||
\(41\) | −1.72140 | − | 2.36931i | −0.268838 | − | 0.370024i | 0.653159 | − | 0.757221i | \(-0.273443\pi\) |
−0.921997 | + | 0.387197i | \(0.873443\pi\) | |||||||
\(42\) | −8.03298 | + | 7.46342i | −1.23952 | + | 1.15163i | ||||
\(43\) | 6.01719 | 0.917613 | 0.458807 | − | 0.888536i | \(-0.348277\pi\) | ||||
0.458807 | + | 0.888536i | \(0.348277\pi\) | |||||||
\(44\) | 1.86526 | + | 1.81388i | 0.281198 | + | 0.273453i | ||||
\(45\) | 6.70304 | + | 0.263281i | 0.999230 | + | 0.0392476i | ||||
\(46\) | −4.75369 | + | 5.64519i | −0.700893 | + | 0.832338i | ||||
\(47\) | −6.89447 | + | 2.24015i | −1.00566 | + | 0.326759i | −0.765126 | − | 0.643881i | \(-0.777323\pi\) |
−0.240536 | + | 0.970640i | \(0.577323\pi\) | |||||||
\(48\) | −5.96370 | + | 3.52623i | −0.860786 | + | 0.508968i | ||||
\(49\) | 13.0386 | 1.86265 | ||||||||
\(50\) | 6.77711 | + | 2.01761i | 0.958428 | + | 0.285333i | ||||
\(51\) | 4.38342 | + | 7.90952i | 0.613802 | + | 1.10755i | ||||
\(52\) | 1.16897 | + | 2.21714i | 0.162106 | + | 0.307462i | ||||
\(53\) | 3.12885 | + | 9.62961i | 0.429780 | + | 1.32273i | 0.898342 | + | 0.439297i | \(0.144772\pi\) |
−0.468561 | + | 0.883431i | \(0.655228\pi\) | |||||||
\(54\) | −5.36427 | − | 5.02241i | −0.729985 | − | 0.683463i | ||||
\(55\) | −1.95545 | + | 2.15358i | −0.263673 | + | 0.290389i | ||||
\(56\) | 12.3707 | + | 2.69724i | 1.65310 | + | 0.360433i | ||||
\(57\) | 5.11876 | − | 2.83680i | 0.677997 | − | 0.375743i | ||||
\(58\) | 9.35041 | − | 2.31399i | 1.22777 | − | 0.303842i | ||||
\(59\) | −3.96541 | + | 2.88104i | −0.516252 | + | 0.375079i | −0.815190 | − | 0.579193i | \(-0.803368\pi\) |
0.298938 | + | 0.954273i | \(0.403368\pi\) | |||||||
\(60\) | −4.16825 | − | 6.52884i | −0.538119 | − | 0.842869i | ||||
\(61\) | −7.80041 | − | 5.66733i | −0.998740 | − | 0.725627i | −0.0369226 | − | 0.999318i | \(-0.511756\pi\) |
−0.961818 | + | 0.273691i | \(0.911756\pi\) | |||||||
\(62\) | 8.64662 | + | 3.51103i | 1.09812 | + | 0.445901i | ||||
\(63\) | 0.934467 | + | 13.3968i | 0.117732 | + | 1.68784i | ||||
\(64\) | 7.27389 | + | 3.33024i | 0.909236 | + | 0.416280i | ||||
\(65\) | −2.43267 | + | 1.39098i | −0.301736 | + | 0.172530i | ||||
\(66\) | 3.16350 | − | 0.382548i | 0.389399 | − | 0.0470884i | ||||
\(67\) | 1.77277 | − | 5.45604i | 0.216579 | − | 0.666561i | −0.782459 | − | 0.622702i | \(-0.786035\pi\) |
0.999038 | − | 0.0438589i | \(-0.0139652\pi\) | |||||||
\(68\) | 4.61015 | − | 9.36908i | 0.559063 | − | 1.13617i | ||||
\(69\) | 1.72390 | + | 8.87281i | 0.207534 | + | 1.06816i | ||||
\(70\) | −2.54066 | + | 13.9259i | −0.303666 | + | 1.66446i | ||||
\(71\) | 1.18235 | + | 3.63889i | 0.140319 | + | 0.431856i | 0.996379 | − | 0.0850190i | \(-0.0270951\pi\) |
−0.856061 | + | 0.516875i | \(0.827095\pi\) | |||||||
\(72\) | −1.22635 | + | 8.39619i | −0.144527 | + | 0.989501i | ||||
\(73\) | −8.49786 | + | 11.6963i | −0.994600 | + | 1.36895i | −0.0660192 | + | 0.997818i | \(0.521030\pi\) |
−0.928581 | + | 0.371131i | \(0.878970\pi\) | |||||||
\(74\) | 3.46701 | + | 5.56998i | 0.403032 | + | 0.647497i | ||||
\(75\) | 7.13575 | − | 4.90725i | 0.823965 | − | 0.566640i | ||||
\(76\) | −6.06334 | − | 2.98353i | −0.695513 | − | 0.342235i | ||||
\(77\) | −4.71124 | − | 3.42291i | −0.536895 | − | 0.390077i | ||||
\(78\) | 3.01226 | + | 0.591252i | 0.341071 | + | 0.0669461i | ||||
\(79\) | 3.38369 | − | 1.09943i | 0.380695 | − | 0.123695i | −0.112417 | − | 0.993661i | \(-0.535859\pi\) |
0.493112 | + | 0.869966i | \(0.335859\pi\) | |||||||
\(80\) | −3.44291 | + | 8.25508i | −0.384929 | + | 0.922946i | ||||
\(81\) | −8.91285 | + | 1.24948i | −0.990316 | + | 0.138831i | ||||
\(82\) | 2.18863 | + | 3.51619i | 0.241694 | + | 0.388298i | ||||
\(83\) | −4.14366 | − | 1.34636i | −0.454826 | − | 0.147782i | 0.0726399 | − | 0.997358i | \(-0.476858\pi\) |
−0.527466 | + | 0.849576i | \(0.676858\pi\) | |||||||
\(84\) | 12.0859 | − | 9.71562i | 1.31868 | − | 1.06006i | ||||
\(85\) | 10.6452 | + | 4.79292i | 1.15463 | + | 0.519865i | ||||
\(86\) | −8.48782 | − | 0.608413i | −0.915265 | − | 0.0656069i | ||||
\(87\) | 4.98669 | − | 10.6916i | 0.534630 | − | 1.14626i | ||||
\(88\) | −2.44772 | − | 2.74725i | −0.260927 | − | 0.292858i | ||||
\(89\) | −0.827124 | + | 1.13844i | −0.0876749 | + | 0.120674i | −0.850601 | − | 0.525811i | \(-0.823762\pi\) |
0.762926 | + | 0.646485i | \(0.223762\pi\) | |||||||
\(90\) | −9.42864 | − | 1.04914i | −0.993866 | − | 0.110589i | ||||
\(91\) | −3.29744 | − | 4.53854i | −0.345666 | − | 0.475769i | ||||
\(92\) | 7.27633 | − | 7.48241i | 0.758609 | − | 0.780096i | ||||
\(93\) | 9.99708 | − | 5.54034i | 1.03665 | − | 0.574507i | ||||
\(94\) | 9.95181 | − | 2.46283i | 1.02645 | − | 0.254021i | ||||
\(95\) | 3.10181 | − | 6.88917i | 0.318239 | − | 0.706814i | ||||
\(96\) | 8.76890 | − | 4.37108i | 0.894973 | − | 0.446121i | ||||
\(97\) | −8.52678 | + | 2.77052i | −0.865763 | + | 0.281303i | −0.708033 | − | 0.706179i | \(-0.750417\pi\) |
−0.157730 | + | 0.987482i | \(0.550417\pi\) | |||||||
\(98\) | −18.3921 | − | 1.31836i | −1.85789 | − | 0.133175i | ||||
\(99\) | 2.06869 | − | 3.30932i | 0.207911 | − | 0.332599i | ||||
\(100\) | −9.35575 | − | 3.53128i | −0.935575 | − | 0.353128i | ||||
\(101\) | 5.95736i | 0.592780i | 0.955067 | + | 0.296390i | \(0.0957827\pi\) | ||||
−0.955067 | + | 0.296390i | \(0.904217\pi\) | |||||||
\(102\) | −5.38348 | − | 11.6003i | −0.533044 | − | 1.14860i | ||||
\(103\) | 3.42472 | + | 10.5402i | 0.337448 | + | 1.03856i | 0.965504 | + | 0.260389i | \(0.0838509\pi\) |
−0.628056 | + | 0.778168i | \(0.716149\pi\) | |||||||
\(104\) | −1.42476 | − | 3.24568i | −0.139709 | − | 0.318265i | ||||
\(105\) | 11.3183 | + | 13.1329i | 1.10456 | + | 1.28164i | ||||
\(106\) | −3.43986 | − | 13.8998i | −0.334109 | − | 1.35007i | ||||
\(107\) | − | 9.35526i | − | 0.904407i | −0.891915 | − | 0.452204i | \(-0.850638\pi\) | ||
0.891915 | − | 0.452204i | \(-0.149362\pi\) | |||||||
\(108\) | 7.05899 | + | 7.62697i | 0.679251 | + | 0.733906i | ||||
\(109\) | −2.83364 | + | 2.05876i | −0.271414 | + | 0.197194i | −0.715164 | − | 0.698957i | \(-0.753648\pi\) |
0.443750 | + | 0.896151i | \(0.353648\pi\) | |||||||
\(110\) | 2.97610 | − | 2.84011i | 0.283760 | − | 0.270794i | ||||
\(111\) | 7.97540 | + | 0.979956i | 0.756991 | + | 0.0930133i | ||||
\(112\) | −17.1773 | − | 5.05553i | −1.62310 | − | 0.477703i | ||||
\(113\) | −10.1542 | + | 7.37743i | −0.955223 | + | 0.694010i | −0.952036 | − | 0.305985i | \(-0.901014\pi\) |
−0.00318631 | + | 0.999995i | \(0.501014\pi\) | |||||||
\(114\) | −7.50734 | + | 3.48400i | −0.703126 | + | 0.326307i | ||||
\(115\) | 8.63902 | + | 7.84421i | 0.805593 | + | 0.731477i | ||||
\(116\) | −13.4236 | + | 2.31866i | −1.24635 | + | 0.215283i | ||||
\(117\) | 2.88047 | − | 2.41615i | 0.266300 | − | 0.223374i | ||||
\(118\) | 5.88489 | − | 3.66302i | 0.541748 | − | 0.337209i | ||||
\(119\) | −7.22212 | + | 22.2274i | −0.662051 | + | 2.03758i | ||||
\(120\) | 5.21956 | + | 9.63100i | 0.476479 | + | 0.879186i | ||||
\(121\) | −2.87622 | − | 8.85211i | −0.261475 | − | 0.804737i | ||||
\(122\) | 10.4302 | + | 8.78302i | 0.944304 | + | 0.795178i | ||||
\(123\) | 5.03466 | + | 0.618621i | 0.453960 | + | 0.0557792i | ||||
\(124\) | −11.8419 | − | 5.82691i | −1.06343 | − | 0.523272i | ||||
\(125\) | 3.58792 | − | 10.5890i | 0.320914 | − | 0.947108i | ||||
\(126\) | 0.0364282 | − | 18.9919i | 0.00324529 | − | 1.69193i | ||||
\(127\) | −3.02850 | − | 2.20034i | −0.268736 | − | 0.195248i | 0.445253 | − | 0.895405i | \(-0.353114\pi\) |
−0.713990 | + | 0.700156i | \(0.753114\pi\) | |||||||
\(128\) | −9.92378 | − | 5.43310i | −0.877147 | − | 0.480223i | ||||
\(129\) | −7.10850 | + | 7.62162i | −0.625869 | + | 0.671046i | ||||
\(130\) | 3.57216 | − | 1.71614i | 0.313299 | − | 0.150516i | ||||
\(131\) | −0.453269 | + | 1.39502i | −0.0396023 | + | 0.121883i | −0.968903 | − | 0.247440i | \(-0.920411\pi\) |
0.929301 | + | 0.369324i | \(0.120411\pi\) | |||||||
\(132\) | −4.50109 | + | 0.219751i | −0.391769 | + | 0.0191269i | ||||
\(133\) | 14.3848 | + | 4.67391i | 1.24732 | + | 0.405279i | ||||
\(134\) | −3.05234 | + | 7.51701i | −0.263682 | + | 0.649371i | ||||
\(135\) | −8.25222 | + | 8.17930i | −0.710238 | + | 0.703962i | ||||
\(136\) | −7.45039 | + | 12.7498i | −0.638865 | + | 1.09329i | ||||
\(137\) | 3.81187 | − | 2.76949i | 0.325670 | − | 0.236613i | −0.412921 | − | 0.910767i | \(-0.635491\pi\) |
0.738591 | + | 0.674154i | \(0.235491\pi\) | |||||||
\(138\) | −1.53458 | − | 12.6902i | −0.130632 | − | 1.08027i | ||||
\(139\) | 6.56082 | − | 9.03020i | 0.556482 | − | 0.765931i | −0.434392 | − | 0.900724i | \(-0.643037\pi\) |
0.990874 | + | 0.134792i | \(0.0430368\pi\) | |||||||
\(140\) | 4.99192 | − | 19.3869i | 0.421894 | − | 1.63849i | ||||
\(141\) | 5.30743 | − | 11.3792i | 0.446966 | − | 0.958305i | ||||
\(142\) | −1.29987 | − | 5.25254i | −0.109083 | − | 0.440783i | ||||
\(143\) | 1.63031i | 0.136333i | ||||||||
\(144\) | 2.57884 | − | 11.7196i | 0.214904 | − | 0.976635i | ||||
\(145\) | −3.10428 | − | 14.9106i | −0.257797 | − | 1.23826i | ||||
\(146\) | 13.1697 | − | 15.6395i | 1.08993 | − | 1.29433i | ||||
\(147\) | −15.4033 | + | 16.5152i | −1.27044 | + | 1.36215i | ||||
\(148\) | −4.32735 | − | 8.20755i | −0.355706 | − | 0.674656i | ||||
\(149\) | − | 8.20957i | − | 0.672555i | −0.941763 | − | 0.336277i | \(-0.890832\pi\) | ||
0.941763 | − | 0.336277i | \(-0.109168\pi\) | |||||||
\(150\) | −10.5618 | + | 6.20062i | −0.862370 | + | 0.506279i | ||||
\(151\) | 3.42909i | 0.279056i | 0.990218 | + | 0.139528i | \(0.0445585\pi\) | ||||
−0.990218 | + | 0.139528i | \(0.955442\pi\) | |||||||
\(152\) | 8.25124 | + | 4.82163i | 0.669264 | + | 0.391086i | ||||
\(153\) | −15.1969 | − | 3.79181i | −1.22860 | − | 0.306550i | ||||
\(154\) | 6.29954 | + | 5.30471i | 0.507632 | + | 0.427465i | ||||
\(155\) | 6.05792 | − | 13.4547i | 0.486584 | − | 1.08071i | ||||
\(156\) | −4.18929 | − | 1.13859i | −0.335412 | − | 0.0911604i | ||||
\(157\) | 16.1356i | 1.28776i | 0.765125 | + | 0.643881i | \(0.222677\pi\) | ||||
−0.765125 | + | 0.643881i | \(0.777323\pi\) | |||||||
\(158\) | −4.88418 | + | 1.20871i | −0.388564 | + | 0.0961600i | ||||
\(159\) | −15.8936 | − | 7.41296i | −1.26044 | − | 0.587886i | ||||
\(160\) | 5.69125 | − | 11.2964i | 0.449932 | − | 0.893063i | ||||
\(161\) | −13.7309 | + | 18.8989i | −1.08215 | + | 1.48945i | ||||
\(162\) | 12.6987 | − | 0.861304i | 0.997708 | − | 0.0676704i | ||||
\(163\) | 3.31970 | − | 2.41191i | 0.260019 | − | 0.188915i | −0.450136 | − | 0.892960i | \(-0.648625\pi\) |
0.710156 | + | 0.704045i | \(0.248625\pi\) | |||||||
\(164\) | −2.73174 | − | 5.18121i | −0.213313 | − | 0.404585i | ||||
\(165\) | −0.417713 | − | 5.02102i | −0.0325189 | − | 0.390886i | ||||
\(166\) | 5.70889 | + | 2.31814i | 0.443096 | + | 0.179922i | ||||
\(167\) | 4.58770 | + | 1.49063i | 0.355007 | + | 0.115349i | 0.481091 | − | 0.876671i | \(-0.340241\pi\) |
−0.126084 | + | 0.992020i | \(0.540241\pi\) | |||||||
\(168\) | −18.0307 | + | 12.4828i | −1.39110 | + | 0.963066i | ||||
\(169\) | 3.53190 | − | 10.8701i | 0.271684 | − | 0.836158i | ||||
\(170\) | −14.5314 | − | 7.83723i | −1.11451 | − | 0.601088i | ||||
\(171\) | −2.45393 | + | 9.83493i | −0.187657 | + | 0.752096i | ||||
\(172\) | 11.9113 | + | 1.71645i | 0.908232 | + | 0.130878i | ||||
\(173\) | −18.3656 | − | 13.3434i | −1.39631 | − | 1.01448i | −0.995139 | − | 0.0984777i | \(-0.968603\pi\) |
−0.401173 | − | 0.916002i | \(-0.631397\pi\) | |||||||
\(174\) | −8.11525 | + | 14.5773i | −0.615216 | + | 1.10510i | ||||
\(175\) | 21.8535 | + | 4.83631i | 1.65197 | + | 0.365591i | ||||
\(176\) | 3.17495 | + | 4.12276i | 0.239321 | + | 0.310764i | ||||
\(177\) | 1.03536 | − | 8.42630i | 0.0778224 | − | 0.633360i | ||||
\(178\) | 1.28185 | − | 1.52224i | 0.0960784 | − | 0.114097i | ||||
\(179\) | −0.449118 | − | 1.38224i | −0.0335687 | − | 0.103314i | 0.932868 | − | 0.360218i | \(-0.117298\pi\) |
−0.966437 | + | 0.256904i | \(0.917298\pi\) | |||||||
\(180\) | 13.1939 | + | 2.43327i | 0.983416 | + | 0.181365i | ||||
\(181\) | −3.75705 | + | 11.5630i | −0.279260 | + | 0.859472i | 0.708801 | + | 0.705408i | \(0.249236\pi\) |
−0.988061 | + | 0.154064i | \(0.950764\pi\) | |||||||
\(182\) | 4.19245 | + | 6.73546i | 0.310765 | + | 0.499265i | ||||
\(183\) | 16.3936 | − | 3.18512i | 1.21185 | − | 0.235451i | ||||
\(184\) | −11.0205 | + | 9.81892i | −0.812443 | + | 0.723861i | ||||
\(185\) | 9.00542 | − | 5.14923i | 0.662092 | − | 0.378579i | ||||
\(186\) | −14.6620 | + | 6.80434i | −1.07507 | + | 0.498919i | ||||
\(187\) | 5.49479 | − | 3.99220i | 0.401819 | − | 0.291938i | ||||
\(188\) | −14.2870 | + | 2.46780i | −1.04199 | + | 0.179983i | ||||
\(189\) | −18.0728 | − | 14.6429i | −1.31461 | − | 1.06511i | ||||
\(190\) | −5.07198 | + | 9.40420i | −0.367960 | + | 0.682252i | ||||
\(191\) | −14.8532 | + | 10.7915i | −1.07474 | + | 0.780844i | −0.976758 | − | 0.214345i | \(-0.931238\pi\) |
−0.0979809 | + | 0.995188i | \(0.531238\pi\) | |||||||
\(192\) | −12.8113 | + | 5.27917i | −0.924579 | + | 0.380991i | ||||
\(193\) | − | 4.78140i | − | 0.344173i | −0.985082 | − | 0.172086i | \(-0.944949\pi\) | ||
0.985082 | − | 0.172086i | \(-0.0550509\pi\) | |||||||
\(194\) | 12.3080 | − | 3.04591i | 0.883660 | − | 0.218684i | ||||
\(195\) | 1.11200 | − | 4.72458i | 0.0796319 | − | 0.338334i | ||||
\(196\) | 25.8105 | + | 3.71935i | 1.84361 | + | 0.265668i | ||||
\(197\) | −0.513782 | − | 1.58126i | −0.0366054 | − | 0.112660i | 0.931084 | − | 0.364804i | \(-0.118864\pi\) |
−0.967690 | + | 0.252145i | \(0.918864\pi\) | |||||||
\(198\) | −3.25269 | + | 4.45894i | −0.231159 | + | 0.316883i | ||||
\(199\) | 15.0174i | 1.06456i | 0.846570 | + | 0.532278i | \(0.178664\pi\) | ||||
−0.846570 | + | 0.532278i | \(0.821336\pi\) | |||||||
\(200\) | 12.8401 | + | 5.92719i | 0.907933 | + | 0.419116i | ||||
\(201\) | 4.81654 | + | 8.69104i | 0.339733 | + | 0.613019i | ||||
\(202\) | 0.602363 | − | 8.40342i | 0.0423821 | − | 0.591262i | ||||
\(203\) | 28.9977 | − | 9.42191i | 2.03524 | − | 0.661288i | ||||
\(204\) | 6.42097 | + | 16.9077i | 0.449558 | + | 1.18378i | ||||
\(205\) | 5.68489 | − | 3.25058i | 0.397050 | − | 0.227030i | ||||
\(206\) | −3.76515 | − | 15.2142i | −0.262330 | − | 1.06003i | ||||
\(207\) | −13.2752 | − | 8.29846i | −0.922691 | − | 0.576783i | ||||
\(208\) | 1.68157 | + | 4.72240i | 0.116596 | + | 0.327440i | ||||
\(209\) | −2.58361 | − | 3.55603i | −0.178712 | − | 0.245976i | ||||
\(210\) | −14.6377 | − | 19.6697i | −1.01009 | − | 1.35734i | ||||
\(211\) | −7.23425 | + | 9.95708i | −0.498026 | + | 0.685474i | −0.981843 | − | 0.189695i | \(-0.939250\pi\) |
0.483817 | + | 0.875169i | \(0.339250\pi\) | |||||||
\(212\) | 3.44681 | + | 19.9548i | 0.236728 | + | 1.37050i | ||||
\(213\) | −6.00594 | − | 2.80125i | −0.411520 | − | 0.191938i | ||||
\(214\) | −0.945933 | + | 13.1965i | −0.0646627 | + | 0.902092i | ||||
\(215\) | −1.46231 | + | 13.3752i | −0.0997289 | + | 0.912178i | ||||
\(216\) | −9.18618 | − | 11.4723i | −0.625041 | − | 0.780592i | ||||
\(217\) | 28.0939 | + | 9.12826i | 1.90714 | + | 0.619667i | ||||
\(218\) | 4.20528 | − | 2.61756i | 0.284818 | − | 0.177284i | ||||
\(219\) | −4.77592 | − | 24.5813i | −0.322727 | − | 1.66105i | ||||
\(220\) | −4.48524 | + | 3.70532i | −0.302395 | + | 0.249813i | ||||
\(221\) | 6.22273 | − | 2.02189i | 0.418586 | − | 0.136007i | ||||
\(222\) | −11.1510 | − | 2.18873i | −0.748404 | − | 0.146898i | ||||
\(223\) | −13.3369 | − | 9.68981i | −0.893103 | − | 0.648877i | 0.0435821 | − | 0.999050i | \(-0.486123\pi\) |
−0.936685 | + | 0.350172i | \(0.886123\pi\) | |||||||
\(224\) | 23.7190 | + | 8.86814i | 1.58479 | + | 0.592528i | ||||
\(225\) | −2.21421 | + | 14.8357i | −0.147614 | + | 0.989045i | ||||
\(226\) | 15.0693 | − | 9.37984i | 1.00240 | − | 0.623938i | ||||
\(227\) | 0.449836 | − | 0.619146i | 0.0298567 | − | 0.0410942i | −0.793828 | − | 0.608143i | \(-0.791915\pi\) |
0.823684 | + | 0.567049i | \(0.191915\pi\) | |||||||
\(228\) | 10.9421 | − | 4.15543i | 0.724657 | − | 0.275200i | ||||
\(229\) | −1.96051 | − | 6.03382i | −0.129554 | − | 0.398726i | 0.865149 | − | 0.501514i | \(-0.167224\pi\) |
−0.994703 | + | 0.102788i | \(0.967224\pi\) | |||||||
\(230\) | −11.3930 | − | 11.9385i | −0.751232 | − | 0.787202i | ||||
\(231\) | 9.90129 | − | 1.92373i | 0.651457 | − | 0.126572i | ||||
\(232\) | 19.1697 | − | 1.91340i | 1.25855 | − | 0.125621i | ||||
\(233\) | 2.73613 | − | 8.42093i | 0.179250 | − | 0.551673i | −0.820552 | − | 0.571571i | \(-0.806334\pi\) |
0.999802 | + | 0.0198978i | \(0.00633409\pi\) | |||||||
\(234\) | −4.30748 | + | 3.11696i | −0.281589 | + | 0.203762i | ||||
\(235\) | −3.30394 | − | 15.8696i | −0.215526 | − | 1.03522i | ||||
\(236\) | −8.67157 | + | 4.57200i | −0.564471 | + | 0.297612i | ||||
\(237\) | −2.60480 | + | 5.58474i | −0.169200 | + | 0.362768i | ||||
\(238\) | 12.4350 | − | 30.6236i | 0.806038 | − | 1.98503i | ||||
\(239\) | −1.09912 | − | 0.798561i | −0.0710965 | − | 0.0516546i | 0.551669 | − | 0.834063i | \(-0.313991\pi\) |
−0.622766 | + | 0.782408i | \(0.713991\pi\) | |||||||
\(240\) | −6.38887 | − | 14.1132i | −0.412400 | − | 0.911003i | ||||
\(241\) | 6.63172 | − | 4.81823i | 0.427187 | − | 0.310369i | −0.353336 | − | 0.935496i | \(-0.614953\pi\) |
0.780523 | + | 0.625127i | \(0.214953\pi\) | |||||||
\(242\) | 3.16213 | + | 12.7776i | 0.203269 | + | 0.821373i | ||||
\(243\) | 8.94669 | − | 12.7655i | 0.573930 | − | 0.818904i | ||||
\(244\) | −13.8247 | − | 13.4439i | −0.885034 | − | 0.860658i | ||||
\(245\) | −3.16866 | + | 28.9824i | −0.202438 | + | 1.85162i | ||||
\(246\) | −7.03932 | − | 1.38169i | −0.448810 | − | 0.0880933i | ||||
\(247\) | −1.30850 | − | 4.02714i | −0.0832576 | − | 0.256241i | ||||
\(248\) | 16.1149 | + | 9.41677i | 1.02330 | + | 0.597966i | ||||
\(249\) | 6.60052 | − | 3.65798i | 0.418291 | − | 0.231815i | ||||
\(250\) | −6.13178 | + | 14.5740i | −0.387808 | + | 0.921740i | ||||
\(251\) | −7.12069 | −0.449454 | −0.224727 | − | 0.974422i | \(-0.572149\pi\) | ||||
−0.224727 | + | 0.974422i | \(0.572149\pi\) | |||||||
\(252\) | −1.97170 | + | 26.7862i | −0.124206 | + | 1.68737i | ||||
\(253\) | 6.45650 | − | 2.09784i | 0.405916 | − | 0.131890i | ||||
\(254\) | 4.04951 | + | 3.41000i | 0.254089 | + | 0.213963i | ||||
\(255\) | −18.6467 | + | 7.82138i | −1.16770 | + | 0.489794i | ||||
\(256\) | 13.4491 | + | 8.66732i | 0.840567 | + | 0.541707i | ||||
\(257\) | 16.3037 | 1.01700 | 0.508499 | − | 0.861062i | \(-0.330200\pi\) | ||||
0.508499 | + | 0.861062i | \(0.330200\pi\) | |||||||
\(258\) | 10.7979 | − | 10.0322i | 0.672245 | − | 0.624581i | ||||
\(259\) | 12.2067 | + | 16.8011i | 0.758487 | + | 1.04397i | ||||
\(260\) | −5.21239 | + | 2.05959i | −0.323259 | + | 0.127730i | ||||
\(261\) | 7.65128 | + | 18.9470i | 0.473602 | + | 1.17279i | ||||
\(262\) | 0.780432 | − | 1.92197i | 0.0482152 | − | 0.118740i | ||||
\(263\) | −15.6882 | − | 21.5930i | −0.967379 | − | 1.33148i | −0.943360 | − | 0.331771i | \(-0.892354\pi\) |
−0.0240187 | − | 0.999712i | \(-0.507646\pi\) | |||||||
\(264\) | 6.37143 | + | 0.145136i | 0.392134 | + | 0.00893252i | ||||
\(265\) | −22.1653 | + | 4.61467i | −1.36160 | + | 0.283477i | ||||
\(266\) | −19.8185 | − | 8.04747i | −1.21515 | − | 0.493422i | ||||
\(267\) | −0.464856 | − | 2.39258i | −0.0284487 | − | 0.146423i | ||||
\(268\) | 5.06567 | − | 10.2948i | 0.309435 | − | 0.628856i | ||||
\(269\) | 11.6026 | + | 3.76991i | 0.707422 | + | 0.229855i | 0.640561 | − | 0.767907i | \(-0.278702\pi\) |
0.0668606 | + | 0.997762i | \(0.478702\pi\) | |||||||
\(270\) | 12.4676 | − | 10.7033i | 0.758751 | − | 0.651380i | ||||
\(271\) | 3.06175 | − | 0.994824i | 0.185988 | − | 0.0604313i | −0.214542 | − | 0.976715i | \(-0.568826\pi\) |
0.400530 | + | 0.916283i | \(0.368826\pi\) | |||||||
\(272\) | 11.7986 | − | 17.2315i | 0.715398 | − | 1.04481i | ||||
\(273\) | 9.64419 | + | 1.18500i | 0.583693 | + | 0.0717197i | ||||
\(274\) | −5.65704 | + | 3.52120i | −0.341754 | + | 0.212723i | ||||
\(275\) | −4.31182 | − | 4.86999i | −0.260012 | − | 0.293671i | ||||
\(276\) | 0.881524 | + | 18.0559i | 0.0530615 | + | 1.08684i | ||||
\(277\) | −3.92203 | + | 5.39821i | −0.235652 | + | 0.324347i | −0.910422 | − | 0.413681i | \(-0.864243\pi\) |
0.674770 | + | 0.738028i | \(0.264243\pi\) | |||||||
\(278\) | −10.1677 | + | 12.0746i | −0.609820 | + | 0.724184i | ||||
\(279\) | −4.79259 | + | 19.2079i | −0.286925 | + | 1.14994i | ||||
\(280\) | −9.00183 | + | 26.8423i | −0.537962 | + | 1.60414i | ||||
\(281\) | 5.53363 | + | 1.79799i | 0.330109 | + | 0.107259i | 0.469382 | − | 0.882995i | \(-0.344477\pi\) |
−0.139273 | + | 0.990254i | \(0.544477\pi\) | |||||||
\(282\) | −8.63721 | + | 15.5149i | −0.514338 | + | 0.923896i | ||||
\(283\) | −7.45613 | + | 22.9476i | −0.443221 | + | 1.36409i | 0.441202 | + | 0.897408i | \(0.354552\pi\) |
−0.884423 | + | 0.466686i | \(0.845448\pi\) | |||||||
\(284\) | 1.30250 | + | 7.54064i | 0.0772890 | + | 0.447455i | ||||
\(285\) | 5.06173 | + | 12.0675i | 0.299831 | + | 0.714818i | ||||
\(286\) | 0.164844 | − | 2.29970i | 0.00974745 | − | 0.135984i | ||||
\(287\) | 7.70576 | + | 10.6061i | 0.454857 | + | 0.626057i | ||||
\(288\) | −4.82270 | + | 16.2709i | −0.284180 | + | 0.958771i | ||||
\(289\) | −8.29913 | − | 6.02967i | −0.488184 | − | 0.354686i | ||||
\(290\) | 2.87124 | + | 21.3467i | 0.168605 | + | 1.25352i | ||||
\(291\) | 6.56399 | − | 14.0733i | 0.384788 | − | 0.824994i | ||||
\(292\) | −20.1584 | + | 20.7294i | −1.17968 | + | 1.21310i | ||||
\(293\) | 21.5123 | 1.25676 | 0.628382 | − | 0.777905i | \(-0.283718\pi\) | ||||
0.628382 | + | 0.777905i | \(0.283718\pi\) | |||||||
\(294\) | 23.3977 | − | 21.7387i | 1.36458 | − | 1.26783i | ||||
\(295\) | −5.44035 | − | 9.51456i | −0.316750 | − | 0.553959i | ||||
\(296\) | 5.27425 | + | 12.0151i | 0.306560 | + | 0.698361i | ||||
\(297\) | 1.74784 | + | 6.52980i | 0.101420 | + | 0.378897i | ||||
\(298\) | −0.830090 | + | 11.5804i | −0.0480858 | + | 0.670833i | ||||
\(299\) | 6.53991 | 0.378213 | ||||||||
\(300\) | 15.5254 | − | 7.67863i | 0.896361 | − | 0.443326i | ||||
\(301\) | −26.9356 | −1.55254 | ||||||||
\(302\) | 0.346724 | − | 4.83706i | 0.0199517 | − | 0.278342i | ||||
\(303\) | −7.54583 | − | 7.03782i | −0.433497 | − | 0.404312i | ||||
\(304\) | −11.1516 | − | 7.63567i | −0.639590 | − | 0.437936i | ||||
\(305\) | 14.4931 | − | 15.9616i | 0.829875 | − | 0.913961i | ||||
\(306\) | 21.0533 | + | 6.88531i | 1.20354 | + | 0.393607i | ||||
\(307\) | −28.2968 | −1.61498 | −0.807492 | − | 0.589879i | \(-0.799175\pi\) | ||||
−0.807492 | + | 0.589879i | \(0.799175\pi\) | |||||||
\(308\) | −8.34973 | − | 8.11975i | −0.475770 | − | 0.462666i | ||||
\(309\) | −17.3965 | − | 8.11395i | −0.989652 | − | 0.461586i | ||||
\(310\) | −9.90571 | + | 18.3666i | −0.562606 | + | 1.04316i | ||||
\(311\) | 20.3602 | + | 14.7925i | 1.15452 | + | 0.838807i | 0.989075 | − | 0.147412i | \(-0.0470945\pi\) |
0.165443 | + | 0.986219i | \(0.447094\pi\) | |||||||
\(312\) | 5.79427 | + | 2.02968i | 0.328036 | + | 0.114908i | ||||
\(313\) | −13.1458 | − | 18.0936i | −0.743045 | − | 1.02271i | −0.998438 | − | 0.0558759i | \(-0.982205\pi\) |
0.255393 | − | 0.966837i | \(-0.417795\pi\) | |||||||
\(314\) | 1.63151 | − | 22.7608i | 0.0920715 | − | 1.28447i | ||||
\(315\) | −30.0058 | − | 1.17856i | −1.69063 | − | 0.0664045i | ||||
\(316\) | 7.01181 | − | 1.21115i | 0.394445 | − | 0.0681326i | ||||
\(317\) | −2.57264 | + | 7.91778i | −0.144494 | + | 0.444707i | −0.996946 | − | 0.0780994i | \(-0.975115\pi\) |
0.852452 | + | 0.522806i | \(0.175115\pi\) | |||||||
\(318\) | 21.6698 | + | 12.0637i | 1.21518 | + | 0.676499i | ||||
\(319\) | −8.42701 | − | 2.73810i | −0.471822 | − | 0.153304i | ||||
\(320\) | −9.17025 | + | 15.3592i | −0.512633 | + | 0.858608i | ||||
\(321\) | 11.8497 | + | 11.0520i | 0.661388 | + | 0.616861i | ||||
\(322\) | 21.2796 | − | 25.2704i | 1.18587 | − | 1.40826i | ||||
\(323\) | −10.3689 | + | 14.2716i | −0.576941 | + | 0.794091i | ||||
\(324\) | −17.9999 | − | 0.0690510i | −0.999993 | − | 0.00383617i | ||||
\(325\) | −2.50072 | − | 5.74544i | −0.138715 | − | 0.318700i | ||||
\(326\) | −4.92663 | + | 3.06656i | −0.272861 | + | 0.169841i | ||||
\(327\) | 0.739857 | − | 6.02135i | 0.0409142 | − | 0.332981i | ||||
\(328\) | 3.32950 | + | 7.58480i | 0.183841 | + | 0.418800i | ||||
\(329\) | 30.8627 | − | 10.0279i | 1.70152 | − | 0.552857i | ||||
\(330\) | 0.0815364 | + | 7.12486i | 0.00448843 | + | 0.392210i | ||||
\(331\) | 22.8906 | + | 7.43760i | 1.25818 | + | 0.408808i | 0.860846 | − | 0.508866i | \(-0.169935\pi\) |
0.397335 | + | 0.917674i | \(0.369935\pi\) | |||||||
\(332\) | −7.81853 | − | 3.84719i | −0.429098 | − | 0.211142i | ||||
\(333\) | −10.6631 | + | 8.94427i | −0.584335 | + | 0.490143i | ||||
\(334\) | −6.32066 | − | 2.56655i | −0.345851 | − | 0.140436i | ||||
\(335\) | 11.6970 | + | 5.26650i | 0.639074 | + | 0.287740i | ||||
\(336\) | 26.6962 | − | 15.7850i | 1.45640 | − | 0.861141i | ||||
\(337\) | 1.83144 | + | 2.52076i | 0.0997647 | + | 0.137314i | 0.855981 | − | 0.517008i | \(-0.172954\pi\) |
−0.756216 | + | 0.654322i | \(0.772954\pi\) | |||||||
\(338\) | −6.08117 | + | 14.9761i | −0.330772 | + | 0.814594i | ||||
\(339\) | 2.65123 | − | 21.5771i | 0.143995 | − | 1.17191i | ||||
\(340\) | 19.7054 | + | 12.5244i | 1.06868 | + | 0.679234i | ||||
\(341\) | −5.04586 | − | 6.94503i | −0.273249 | − | 0.376094i | ||||
\(342\) | 4.45593 | − | 13.6250i | 0.240949 | − | 0.736754i | ||||
\(343\) | −27.0313 | −1.45955 | ||||||||
\(344\) | −16.6285 | − | 3.62560i | −0.896550 | − | 0.195479i | ||||
\(345\) | −20.1416 | + | 1.67564i | −1.08439 | + | 0.0902135i | ||||
\(346\) | 24.5573 | + | 20.6791i | 1.32021 | + | 1.11172i | ||||
\(347\) | 8.72590 | − | 2.83522i | 0.468431 | − | 0.152202i | −0.0652845 | − | 0.997867i | \(-0.520795\pi\) |
0.533715 | + | 0.845664i | \(0.320795\pi\) | |||||||
\(348\) | 12.9213 | − | 19.7421i | 0.692653 | − | 1.05829i | ||||
\(349\) | 0.811880 | 0.0434589 | 0.0217295 | − | 0.999764i | \(-0.493083\pi\) | ||||
0.0217295 | + | 0.999764i | \(0.493083\pi\) | |||||||
\(350\) | −30.3374 | − | 9.03173i | −1.62160 | − | 0.482766i | ||||
\(351\) | −0.342493 | + | 6.50288i | −0.0182809 | + | 0.347098i | ||||
\(352\) | −4.06171 | − | 6.13656i | −0.216490 | − | 0.327080i | ||||
\(353\) | 9.89930 | + | 30.4669i | 0.526886 | + | 1.62159i | 0.760555 | + | 0.649273i | \(0.224927\pi\) |
−0.233669 | + | 0.972316i | \(0.575073\pi\) | |||||||
\(354\) | −2.31248 | + | 11.7814i | −0.122907 | + | 0.626175i | ||||
\(355\) | −8.37593 | + | 1.74381i | −0.444548 | + | 0.0925521i | ||||
\(356\) | −1.96208 | + | 2.01766i | −0.103990 | + | 0.106936i | ||||
\(357\) | −19.6222 | − | 35.4065i | −1.03851 | − | 1.87391i | ||||
\(358\) | 0.493761 | + | 1.99520i | 0.0260961 | + | 0.105449i | ||||
\(359\) | 10.2064 | − | 7.41542i | 0.538675 | − | 0.391371i | −0.284917 | − | 0.958552i | \(-0.591966\pi\) |
0.823593 | + | 0.567181i | \(0.191966\pi\) | |||||||
\(360\) | −18.3652 | − | 4.76642i | −0.967932 | − | 0.251213i | ||||
\(361\) | −6.13527 | − | 4.45753i | −0.322909 | − | 0.234607i | ||||
\(362\) | 6.46884 | − | 15.9308i | 0.339995 | − | 0.837307i | ||||
\(363\) | 14.6103 | + | 6.81444i | 0.766842 | + | 0.357665i | ||||
\(364\) | −5.23281 | − | 9.92490i | −0.274274 | − | 0.520206i | ||||
\(365\) | −23.9336 | − | 21.7317i | −1.25274 | − | 1.13749i | ||||
\(366\) | −23.4468 | + | 2.83532i | −1.22558 | + | 0.148204i | ||||
\(367\) | 11.1742 | − | 34.3906i | 0.583287 | − | 1.79517i | −0.0227549 | − | 0.999741i | \(-0.507244\pi\) |
0.606042 | − | 0.795433i | \(-0.292756\pi\) | |||||||
\(368\) | 16.5383 | − | 12.7362i | 0.862118 | − | 0.663921i | ||||
\(369\) | −6.73135 | + | 5.64629i | −0.350420 | + | 0.293934i | ||||
\(370\) | −13.2236 | + | 6.35292i | −0.687465 | + | 0.330273i | ||||
\(371\) | −14.0061 | − | 43.1064i | −0.727162 | − | 2.23797i | ||||
\(372\) | 21.3702 | − | 8.11566i | 1.10799 | − | 0.420777i | ||||
\(373\) | 8.70151 | − | 11.9766i | 0.450547 | − | 0.620125i | −0.521968 | − | 0.852965i | \(-0.674802\pi\) |
0.972515 | + | 0.232840i | \(0.0748019\pi\) | |||||||
\(374\) | −8.15457 | + | 5.07578i | −0.421663 | + | 0.262462i | ||||
\(375\) | 9.17379 | + | 17.0541i | 0.473733 | + | 0.880669i | ||||
\(376\) | 20.4027 | − | 2.03647i | 1.05219 | − | 0.105023i | ||||
\(377\) | −6.90568 | − | 5.01727i | −0.355661 | − | 0.258402i | ||||
\(378\) | 24.0129 | + | 22.4825i | 1.23509 | + | 1.15638i | ||||
\(379\) | −3.45493 | + | 1.12257i | −0.177468 | + | 0.0576628i | −0.396403 | − | 0.918077i | \(-0.629742\pi\) |
0.218935 | + | 0.975739i | \(0.429742\pi\) | |||||||
\(380\) | 8.10539 | − | 12.7527i | 0.415798 | − | 0.654198i | ||||
\(381\) | 6.36480 | − | 1.23662i | 0.326079 | − | 0.0633540i | ||||
\(382\) | 22.0430 | − | 13.7205i | 1.12782 | − | 0.702004i | ||||
\(383\) | −6.51898 | − | 2.11815i | −0.333104 | − | 0.108232i | 0.137689 | − | 0.990475i | \(-0.456032\pi\) |
−0.470794 | + | 0.882243i | \(0.656032\pi\) | |||||||
\(384\) | 18.6054 | − | 6.15138i | 0.949452 | − | 0.313911i | ||||
\(385\) | 8.75347 | − | 9.64040i | 0.446118 | − | 0.491320i | ||||
\(386\) | −0.483459 | + | 6.74462i | −0.0246074 | + | 0.343292i | ||||
\(387\) | −1.25610 | − | 18.0078i | −0.0638512 | − | 0.915389i | ||||
\(388\) | −17.6695 | + | 3.05206i | −0.897034 | + | 0.154945i | ||||
\(389\) | −4.62659 | + | 6.36795i | −0.234577 | + | 0.322868i | −0.910035 | − | 0.414530i | \(-0.863946\pi\) |
0.675458 | + | 0.737398i | \(0.263946\pi\) | |||||||
\(390\) | −2.04629 | + | 6.55203i | −0.103618 | + | 0.331775i | ||||
\(391\) | −16.0145 | − | 22.0421i | −0.809890 | − | 1.11472i | ||||
\(392\) | −36.0321 | − | 7.85626i | −1.81990 | − | 0.396801i | ||||
\(393\) | −1.23151 | − | 2.22215i | −0.0621214 | − | 0.112093i | ||||
\(394\) | 0.564853 | + | 2.28246i | 0.0284569 | + | 0.114989i | ||||
\(395\) | 1.62152 | + | 7.78853i | 0.0815875 | + | 0.391883i | ||||
\(396\) | 5.03908 | − | 5.96086i | 0.253224 | − | 0.299545i | ||||
\(397\) | −15.1377 | + | 4.91853i | −0.759738 | + | 0.246854i | −0.663166 | − | 0.748472i | \(-0.730788\pi\) |
−0.0965716 | + | 0.995326i | \(0.530788\pi\) | |||||||
\(398\) | 1.51845 | − | 21.1835i | 0.0761129 | − | 1.06183i | ||||
\(399\) | −22.9139 | + | 12.6988i | −1.14713 | + | 0.635734i | ||||
\(400\) | −17.5129 | − | 9.65915i | −0.875644 | − | 0.482958i | ||||
\(401\) | − | 21.1953i | − | 1.05844i | −0.848484 | − | 0.529221i | \(-0.822484\pi\) | ||
0.848484 | − | 0.529221i | \(-0.177516\pi\) | |||||||
\(402\) | −5.91541 | − | 12.7465i | −0.295034 | − | 0.635740i | ||||
\(403\) | −2.55553 | − | 7.86510i | −0.127300 | − | 0.391788i | ||||
\(404\) | −1.69938 | + | 11.7929i | −0.0845473 | + | 0.586719i | ||||
\(405\) | −0.611343 | − | 20.1153i | −0.0303779 | − | 0.999538i | ||||
\(406\) | −41.8566 | + | 10.3585i | −2.07731 | + | 0.514082i | ||||
\(407\) | − | 6.03517i | − | 0.299152i | ||||||
\(408\) | −7.34780 | − | 24.4992i | −0.363770 | − | 1.21289i | ||||
\(409\) | 27.8293 | − | 20.2192i | 1.37607 | − | 0.999773i | 0.378835 | − | 0.925464i | \(-0.376325\pi\) |
0.997235 | − | 0.0743092i | \(-0.0236752\pi\) | |||||||
\(410\) | −8.34774 | + | 4.01043i | −0.412266 | + | 0.198061i | ||||
\(411\) | −0.995272 | + | 8.10005i | −0.0490931 | + | 0.399546i | ||||
\(412\) | 3.77274 | + | 21.8418i | 0.185870 | + | 1.07607i | ||||
\(413\) | 17.7509 | − | 12.8968i | 0.873466 | − | 0.634611i | ||||
\(414\) | 17.8869 | + | 13.0481i | 0.879091 | + | 0.641277i | ||||
\(415\) | 3.99971 | − | 8.88342i | 0.196338 | − | 0.436070i | ||||
\(416\) | −1.89453 | − | 6.83142i | −0.0928868 | − | 0.334938i | ||||
\(417\) | 3.68728 | + | 18.9782i | 0.180567 | + | 0.929365i | ||||
\(418\) | 3.28487 | + | 5.27736i | 0.160668 | + | 0.258124i | ||||
\(419\) | −8.66099 | + | 26.6558i | −0.423117 | + | 1.30222i | 0.481669 | + | 0.876353i | \(0.340031\pi\) |
−0.904786 | + | 0.425867i | \(0.859969\pi\) | |||||||
\(420\) | 18.6589 | + | 29.2260i | 0.910463 | + | 1.42608i | ||||
\(421\) | 12.1913 | + | 37.5211i | 0.594170 | + | 1.82867i | 0.558817 | + | 0.829291i | \(0.311256\pi\) |
0.0353531 | + | 0.999375i | \(0.488744\pi\) | |||||||
\(422\) | 11.2114 | − | 13.3139i | 0.545761 | − | 0.648112i | ||||
\(423\) | 8.14339 | + | 20.1656i | 0.395945 | + | 0.980487i | ||||
\(424\) | −2.84436 | − | 28.4967i | −0.138134 | − | 1.38392i | ||||
\(425\) | −13.2408 | + | 22.4975i | −0.642274 | + | 1.09129i | ||||
\(426\) | 8.18870 | + | 4.55870i | 0.396744 | + | 0.220870i | ||||
\(427\) | 34.9181 | + | 25.3695i | 1.68981 | + | 1.22772i | ||||
\(428\) | 2.66866 | − | 18.5192i | 0.128994 | − | 0.895161i | ||||
\(429\) | −2.06501 | − | 1.92599i | −0.0996997 | − | 0.0929876i | ||||
\(430\) | 3.41512 | − | 18.7191i | 0.164692 | − | 0.902713i | ||||
\(431\) | −9.74410 | + | 29.9892i | −0.469357 | + | 1.44453i | 0.384063 | + | 0.923307i | \(0.374525\pi\) |
−0.853420 | + | 0.521224i | \(0.825475\pi\) | |||||||
\(432\) | 11.7980 | + | 17.1116i | 0.567631 | + | 0.823283i | ||||
\(433\) | 34.0081 | + | 11.0499i | 1.63433 | + | 0.531024i | 0.975260 | − | 0.221061i | \(-0.0709521\pi\) |
0.659065 | + | 0.752086i | \(0.270952\pi\) | |||||||
\(434\) | −38.7061 | − | 15.7169i | −1.85795 | − | 0.754436i | ||||
\(435\) | 22.5536 | + | 13.6828i | 1.08136 | + | 0.656041i | ||||
\(436\) | −6.19662 | + | 3.26711i | −0.296764 | + | 0.156466i | ||||
\(437\) | −14.2649 | + | 10.3641i | −0.682383 | + | 0.495780i | ||||
\(438\) | 4.25141 | + | 35.1572i | 0.203140 | + | 1.67988i | ||||
\(439\) | −21.0159 | + | 28.9259i | −1.00303 | + | 1.38056i | −0.0795890 | + | 0.996828i | \(0.525361\pi\) |
−0.923445 | + | 0.383730i | \(0.874639\pi\) | |||||||
\(440\) | 6.70151 | − | 4.77320i | 0.319482 | − | 0.227553i | ||||
\(441\) | −2.72183 | − | 39.0209i | −0.129611 | − | 1.85814i | ||||
\(442\) | −8.98219 | + | 2.22287i | −0.427239 | + | 0.105731i | ||||
\(443\) | 10.3222i | 0.490422i | 0.969470 | + | 0.245211i | \(0.0788572\pi\) | ||||
−0.969470 | + | 0.245211i | \(0.921143\pi\) | |||||||
\(444\) | 15.5082 | + | 4.21492i | 0.735986 | + | 0.200031i | ||||
\(445\) | −2.32954 | − | 2.11522i | −0.110431 | − | 0.100271i | ||||
\(446\) | 17.8332 | + | 15.0169i | 0.844425 | + | 0.711071i | ||||
\(447\) | 10.3986 | + | 9.69851i | 0.491836 | + | 0.458724i | ||||
\(448\) | −32.5612 | − | 14.9076i | −1.53837 | − | 0.704320i | ||||
\(449\) | − | 6.11417i | − | 0.288546i | −0.989538 | − | 0.144273i | \(-0.953916\pi\) | ||
0.989538 | − | 0.144273i | \(-0.0460843\pi\) | |||||||
\(450\) | 4.62343 | − | 20.7032i | 0.217951 | − | 0.975960i | ||||
\(451\) | − | 3.80985i | − | 0.179399i | ||||||
\(452\) | −22.2051 | + | 11.7075i | −1.04444 | + | 0.550672i | ||||
\(453\) | −4.34343 | − | 4.05101i | −0.204072 | − | 0.190333i | ||||
\(454\) | −0.697139 | + | 0.827880i | −0.0327184 | + | 0.0388543i | ||||
\(455\) | 10.8897 | − | 6.22667i | 0.510518 | − | 0.291911i | ||||
\(456\) | −15.8550 | + | 4.75524i | −0.742479 | + | 0.222685i | ||||
\(457\) | − | 20.4200i | − | 0.955205i | −0.878576 | − | 0.477603i | \(-0.841506\pi\) | ||
0.878576 | − | 0.477603i | \(-0.158494\pi\) | |||||||
\(458\) | 2.15539 | + | 8.70951i | 0.100715 | + | 0.406968i | ||||
\(459\) | 22.7560 | − | 14.7695i | 1.06216 | − | 0.689382i | ||||
\(460\) | 14.8638 | + | 17.9924i | 0.693027 | + | 0.838899i | ||||
\(461\) | 3.22314 | − | 4.43628i | 0.150117 | − | 0.206618i | −0.727335 | − | 0.686282i | \(-0.759242\pi\) |
0.877452 | + | 0.479664i | \(0.159242\pi\) | |||||||
\(462\) | −14.1612 | + | 1.71246i | −0.658839 | + | 0.0796706i | ||||
\(463\) | −5.64555 | + | 4.10173i | −0.262371 | + | 0.190624i | −0.711192 | − | 0.702998i | \(-0.751844\pi\) |
0.448821 | + | 0.893622i | \(0.351844\pi\) | |||||||
\(464\) | −27.2341 | + | 0.760735i | −1.26431 | + | 0.0353162i | ||||
\(465\) | 9.88568 | + | 23.5682i | 0.458438 | + | 1.09295i | ||||
\(466\) | −4.71102 | + | 11.6019i | −0.218234 | + | 0.537446i | ||||
\(467\) | 12.3383 | + | 4.00897i | 0.570950 | + | 0.185513i | 0.580242 | − | 0.814444i | \(-0.302958\pi\) |
−0.00929248 | + | 0.999957i | \(0.502958\pi\) | |||||||
\(468\) | 6.39127 | − | 3.96123i | 0.295437 | − | 0.183108i | ||||
\(469\) | −7.93573 | + | 24.4237i | −0.366438 | + | 1.12778i | ||||
\(470\) | 3.05591 | + | 22.7196i | 0.140959 | + | 1.04798i | ||||
\(471\) | −20.4380 | − | 19.0621i | −0.941734 | − | 0.878333i | ||||
\(472\) | 12.6944 | − | 5.57244i | 0.584305 | − | 0.256492i | ||||
\(473\) | 6.33280 | + | 4.60105i | 0.291182 | + | 0.211556i | ||||
\(474\) | 4.23900 | − | 7.61443i | 0.194704 | − | 0.349742i | ||||
\(475\) | 14.5596 | + | 8.56900i | 0.668040 | + | 0.393173i | ||||
\(476\) | −20.6371 | + | 41.9402i | −0.945900 | + | 1.92232i | ||||
\(477\) | 28.1656 | − | 11.3740i | 1.28962 | − | 0.520779i | ||||
\(478\) | 1.46967 | + | 1.23758i | 0.0672213 | + | 0.0566056i | ||||
\(479\) | −12.6155 | − | 38.8266i | −0.576418 | − | 1.77403i | −0.631299 | − | 0.775539i | \(-0.717478\pi\) |
0.0548810 | − | 0.998493i | \(-0.482522\pi\) | |||||||
\(480\) | 7.58509 | + | 20.5540i | 0.346210 | + | 0.938157i | ||||
\(481\) | 1.79661 | − | 5.52939i | 0.0819183 | − | 0.252119i | ||||
\(482\) | −9.84185 | + | 6.12602i | −0.448284 | + | 0.279032i | ||||
\(483\) | −7.71696 | − | 39.7186i | −0.351134 | − | 1.80726i | ||||
\(484\) | −3.16851 | − | 18.3437i | −0.144023 | − | 0.833804i | ||||
\(485\) | −4.08617 | − | 19.6268i | −0.185544 | − | 0.891208i | ||||
\(486\) | −13.9109 | + | 17.1022i | −0.631011 | + | 0.775774i | ||||
\(487\) | −23.7327 | + | 17.2428i | −1.07543 | + | 0.781347i | −0.976881 | − | 0.213785i | \(-0.931421\pi\) |
−0.0985510 | + | 0.995132i | \(0.531421\pi\) | |||||||
\(488\) | 18.1417 | + | 20.3617i | 0.821235 | + | 0.921733i | ||||
\(489\) | −0.866767 | + | 7.05421i | −0.0391966 | + | 0.319002i | ||||
\(490\) | 7.40018 | − | 40.5621i | 0.334306 | − | 1.83241i | ||||
\(491\) | −2.03850 | + | 1.48105i | −0.0919961 | + | 0.0668391i | −0.632832 | − | 0.774289i | \(-0.718108\pi\) |
0.540836 | + | 0.841128i | \(0.318108\pi\) | |||||||
\(492\) | 9.78991 | + | 2.66077i | 0.441363 | + | 0.119957i | ||||
\(493\) | 35.5609i | 1.60158i | ||||||||
\(494\) | 1.43856 | + | 5.81296i | 0.0647240 | + | 0.261537i | ||||
\(495\) | 6.85329 | + | 5.40257i | 0.308033 | + | 0.242827i | ||||
\(496\) | −21.7794 | − | 14.9127i | −0.977925 | − | 0.669598i | ||||
\(497\) | −5.29271 | − | 16.2893i | −0.237410 | − | 0.730674i | ||||
\(498\) | −9.68053 | + | 4.49254i | −0.433795 | + | 0.201315i | ||||
\(499\) | − | 38.1145i | − | 1.70624i | −0.521717 | − | 0.853119i | \(-0.674708\pi\) | ||
0.521717 | − | 0.853119i | \(-0.325292\pi\) | |||||||
\(500\) | 10.1231 | − | 19.9380i | 0.452717 | − | 0.891654i | ||||
\(501\) | −7.30784 | + | 4.04998i | −0.326490 | + | 0.180940i | ||||
\(502\) | 10.0444 | + | 0.719991i | 0.448304 | + | 0.0321348i | ||||
\(503\) | −25.1690 | + | 8.17789i | −1.12223 | + | 0.364634i | −0.810618 | − | 0.585575i | \(-0.800869\pi\) |
−0.311611 | + | 0.950210i | \(0.600869\pi\) | |||||||
\(504\) | 5.48969 | − | 37.5851i | 0.244530 | − | 1.67417i | ||||
\(505\) | −13.2422 | − | 1.44777i | −0.589268 | − | 0.0644250i | ||||
\(506\) | −9.31961 | + | 2.30637i | −0.414307 | + | 0.102531i | ||||
\(507\) | 9.59598 | + | 17.3151i | 0.426173 | + | 0.768993i | ||||
\(508\) | −5.36742 | − | 5.21958i | −0.238141 | − | 0.231582i | ||||
\(509\) | 6.70246 | + | 9.22514i | 0.297081 | + | 0.408897i | 0.931298 | − | 0.364258i | \(-0.118677\pi\) |
−0.634217 | + | 0.773155i | \(0.718677\pi\) | |||||||
\(510\) | 27.0938 | − | 9.14738i | 1.19973 | − | 0.405053i | ||||
\(511\) | 38.0402 | − | 52.3579i | 1.68280 | − | 2.31618i | ||||
\(512\) | −18.0948 | − | 13.5859i | −0.799685 | − | 0.600419i | ||||
\(513\) | −9.55832 | − | 14.7269i | −0.422010 | − | 0.650208i | ||||
\(514\) | −22.9979 | − | 1.64851i | −1.01440 | − | 0.0727126i | ||||
\(515\) | −24.2613 | + | 5.05104i | −1.06908 | + | 0.222575i | ||||
\(516\) | −16.2458 | + | 13.0596i | −0.715180 | + | 0.574918i | ||||
\(517\) | −8.96902 | − | 2.91421i | −0.394457 | − | 0.128167i | ||||
\(518\) | −15.5199 | − | 24.9337i | −0.681905 | − | 1.09553i | ||||
\(519\) | 38.5978 | − | 7.49919i | 1.69425 | − | 0.329178i | ||||
\(520\) | 7.56082 | − | 2.37821i | 0.331564 | − | 0.104291i | ||||
\(521\) | 14.7030 | − | 4.77729i | 0.644150 | − | 0.209297i | 0.0313169 | − | 0.999510i | \(-0.490030\pi\) |
0.612833 | + | 0.790213i | \(0.290030\pi\) | |||||||
\(522\) | −8.87707 | − | 27.5002i | −0.388539 | − | 1.20365i | ||||
\(523\) | −1.62855 | − | 1.18321i | −0.0712115 | − | 0.0517382i | 0.551610 | − | 0.834102i | \(-0.314014\pi\) |
−0.622821 | + | 0.782364i | \(0.714014\pi\) | |||||||
\(524\) | −1.29521 | + | 2.63221i | −0.0565814 | + | 0.114989i | ||||
\(525\) | −31.9428 | + | 21.9670i | −1.39410 | + | 0.958720i | ||||
\(526\) | 19.9464 | + | 32.0453i | 0.869706 | + | 1.39724i | ||||
\(527\) | −20.2507 | + | 27.8727i | −0.882135 | + | 1.21415i | ||||
\(528\) | −8.97283 | − | 0.848959i | −0.390492 | − | 0.0369462i | ||||
\(529\) | −1.30803 | − | 4.02569i | −0.0568707 | − | 0.175030i | ||||
\(530\) | 31.7328 | − | 4.26824i | 1.37839 | − | 0.185400i | ||||
\(531\) | 9.44995 | + | 11.2660i | 0.410093 | + | 0.488901i | ||||
\(532\) | 27.1422 | + | 13.3556i | 1.17676 | + | 0.579039i | ||||
\(533\) | 1.13415 | − | 3.49056i | 0.0491256 | − | 0.151193i | ||||
\(534\) | 0.413803 | + | 3.42196i | 0.0179070 | + | 0.148083i | ||||
\(535\) | 20.7951 | + | 2.27354i | 0.899050 | + | 0.0982936i | ||||
\(536\) | −8.18655 | + | 14.0096i | −0.353605 | + | 0.605123i | ||||
\(537\) | 2.28138 | + | 1.06406i | 0.0984487 | + | 0.0459177i | ||||
\(538\) | −15.9854 | − | 6.49098i | −0.689177 | − | 0.279846i | ||||
\(539\) | 13.7224 | + | 9.96994i | 0.591068 | + | 0.429436i | ||||
\(540\) | −18.6689 | + | 13.8373i | −0.803382 | + | 0.595465i | ||||
\(541\) | 0.414058 | − | 0.300831i | 0.0178018 | − | 0.0129337i | −0.578849 | − | 0.815435i | \(-0.696498\pi\) |
0.596651 | + | 0.802501i | \(0.296498\pi\) | |||||||
\(542\) | −4.41948 | + | 1.09371i | −0.189833 | + | 0.0469790i | ||||
\(543\) | −10.2077 | − | 18.4190i | −0.438056 | − | 0.790434i | ||||
\(544\) | −18.3854 | + | 23.1137i | −0.788268 | + | 0.990990i | ||||
\(545\) | −3.88762 | − | 6.79901i | −0.166527 | − | 0.291237i | ||||
\(546\) | −13.4842 | − | 2.64671i | −0.577071 | − | 0.113269i | ||||
\(547\) | 6.44638 | + | 19.8399i | 0.275627 | + | 0.848294i | 0.989053 | + | 0.147562i | \(0.0471427\pi\) |
−0.713425 | + | 0.700731i | \(0.752857\pi\) | |||||||
\(548\) | 8.33582 | − | 4.39498i | 0.356089 | − | 0.187744i | ||||
\(549\) | −15.3324 | + | 24.5276i | −0.654372 | + | 1.04681i | ||||
\(550\) | 5.58981 | + | 7.30555i | 0.238350 | + | 0.311510i | ||||
\(551\) | 23.0138 | 0.980419 | ||||||||
\(552\) | 0.582209 | − | 25.5587i | 0.0247804 | − | 1.08785i | ||||
\(553\) | −15.1469 | + | 4.92153i | −0.644112 | + | 0.209285i | ||||
\(554\) | 6.07821 | − | 7.21811i | 0.258239 | − | 0.306668i | ||||
\(555\) | −4.11647 | + | 17.4897i | −0.174734 | + | 0.742398i | ||||
\(556\) | 15.5634 | − | 16.0042i | 0.660036 | − | 0.678730i | ||||
\(557\) | 23.4145 | 0.992105 | 0.496052 | − | 0.868293i | \(-0.334782\pi\) | ||||
0.496052 | + | 0.868293i | \(0.334782\pi\) | |||||||
\(558\) | 8.70255 | − | 26.6099i | 0.368408 | − | 1.12649i | ||||
\(559\) | 4.43239 | + | 6.10066i | 0.187470 | + | 0.258031i | ||||
\(560\) | 15.4120 | − | 36.9534i | 0.651277 | − | 1.56157i | ||||
\(561\) | −1.43468 | + | 11.6762i | −0.0605721 | + | 0.492968i | ||||
\(562\) | −7.62391 | − | 3.09575i | −0.321595 | − | 0.130586i | ||||
\(563\) | 13.7664 | + | 18.9478i | 0.580184 | + | 0.798555i | 0.993716 | − | 0.111935i | \(-0.0357049\pi\) |
−0.413532 | + | 0.910490i | \(0.635705\pi\) | |||||||
\(564\) | 13.7523 | − | 21.0118i | 0.579078 | − | 0.884758i | ||||
\(565\) | −13.9310 | − | 24.3638i | −0.586083 | − | 1.02499i | ||||
\(566\) | 12.8379 | − | 31.6159i | 0.539616 | − | 1.32891i | ||||
\(567\) | 39.8979 | − | 5.59321i | 1.67555 | − | 0.234893i | ||||
\(568\) | −1.07484 | − | 10.7685i | −0.0450994 | − | 0.451835i | ||||
\(569\) | −21.5260 | − | 6.99423i | −0.902418 | − | 0.293213i | −0.179184 | − | 0.983816i | \(-0.557346\pi\) |
−0.723235 | + | 0.690602i | \(0.757346\pi\) | |||||||
\(570\) | −5.91987 | − | 17.5342i | −0.247956 | − | 0.734425i | ||||
\(571\) | −18.3456 | + | 5.96084i | −0.767739 | + | 0.249454i | −0.666597 | − | 0.745418i | \(-0.732250\pi\) |
−0.101142 | + | 0.994872i | \(0.532250\pi\) | |||||||
\(572\) | −0.465057 | + | 3.22728i | −0.0194450 | + | 0.134939i | ||||
\(573\) | 3.87813 | − | 31.5623i | 0.162011 | − | 1.31853i | ||||
\(574\) | −9.79730 | − | 15.7400i | −0.408931 | − | 0.656976i | ||||
\(575\) | −19.5358 | + | 17.2967i | −0.814698 | + | 0.721322i | ||||
\(576\) | 8.44806 | − | 22.4640i | 0.352003 | − | 0.935999i | ||||
\(577\) | −25.2341 | + | 34.7318i | −1.05051 | + | 1.44590i | −0.162144 | + | 0.986767i | \(0.551841\pi\) |
−0.888366 | + | 0.459136i | \(0.848159\pi\) | |||||||
\(578\) | 11.0970 | + | 9.34456i | 0.461575 | + | 0.388682i | ||||
\(579\) | 6.05632 | + | 5.64858i | 0.251692 | + | 0.234747i | ||||
\(580\) | −1.89174 | − | 30.4018i | −0.0785503 | − | 1.26237i | ||||
\(581\) | 18.5489 | + | 6.02689i | 0.769537 | + | 0.250038i | ||||
\(582\) | −10.6821 | + | 19.1881i | −0.442788 | + | 0.795372i | ||||
\(583\) | −4.07032 | + | 12.5272i | −0.168575 | + | 0.518822i | ||||
\(584\) | 30.5314 | − | 27.2025i | 1.26340 | − | 1.12565i | ||||
\(585\) | 4.67066 | + | 6.98996i | 0.193108 | + | 0.288999i | ||||
\(586\) | −30.3452 | − | 2.17516i | −1.25355 | − | 0.0898552i | ||||
\(587\) | 13.9606 | + | 19.2151i | 0.576216 | + | 0.793094i | 0.993274 | − | 0.115786i | \(-0.0369387\pi\) |
−0.417058 | + | 0.908880i | \(0.636939\pi\) | |||||||
\(588\) | −35.2027 | + | 28.2987i | −1.45174 | + | 1.16702i | ||||
\(589\) | 18.0383 | + | 13.1056i | 0.743253 | + | 0.540005i | ||||
\(590\) | 6.71209 | + | 13.9713i | 0.276332 | + | 0.575188i | ||||
\(591\) | 2.60985 | + | 1.21727i | 0.107355 | + | 0.0500716i | ||||
\(592\) | −6.22496 | − | 17.4817i | −0.255844 | − | 0.718492i | ||||
\(593\) | −28.4331 | −1.16761 | −0.583804 | − | 0.811895i | \(-0.698436\pi\) | ||||
−0.583804 | + | 0.811895i | \(0.698436\pi\) | |||||||
\(594\) | −1.80525 | − | 9.38762i | −0.0740702 | − | 0.385179i | ||||
\(595\) | −47.6525 | − | 21.4553i | −1.95356 | − | 0.879580i | ||||
\(596\) | 2.34184 | − | 16.2513i | 0.0959255 | − | 0.665679i | ||||
\(597\) | −19.0216 | − | 17.7410i | −0.778504 | − | 0.726093i | ||||
\(598\) | −9.22517 | − | 0.661267i | −0.377245 | − | 0.0270412i | ||||
\(599\) | 10.0807 | 0.411886 | 0.205943 | − | 0.978564i | \(-0.433974\pi\) | ||||
0.205943 | + | 0.978564i | \(0.433974\pi\) | |||||||
\(600\) | −22.6765 | + | 9.26162i | −0.925763 | + | 0.378104i | ||||
\(601\) | −39.1585 | −1.59731 | −0.798654 | − | 0.601790i | \(-0.794454\pi\) | ||||
−0.798654 | + | 0.601790i | \(0.794454\pi\) | |||||||
\(602\) | 37.9953 | + | 2.72353i | 1.54857 | + | 0.111003i | ||||
\(603\) | −16.6985 | − | 4.16647i | −0.680016 | − | 0.169672i | ||||
\(604\) | −0.978174 | + | 6.78807i | −0.0398013 | + | 0.276203i | ||||
\(605\) | 20.3757 | − | 4.24208i | 0.828388 | − | 0.172465i | ||||
\(606\) | 9.93249 | + | 10.6905i | 0.403480 | + | 0.434271i | ||||
\(607\) | −20.9133 | −0.848845 | −0.424422 | − | 0.905464i | \(-0.639523\pi\) | ||||
−0.424422 | + | 0.905464i | \(0.639523\pi\) | |||||||
\(608\) | 14.9584 | + | 11.8984i | 0.606642 | + | 0.482544i | ||||
\(609\) | −22.3227 | + | 47.8603i | −0.904560 | + | 1.93940i | ||||
\(610\) | −22.0579 | + | 21.0500i | −0.893097 | + | 0.852288i | ||||
\(611\) | −7.34984 | − | 5.33997i | −0.297343 | − | 0.216032i | ||||
\(612\) | −29.0015 | − | 11.8411i | −1.17232 | − | 0.478649i | ||||
\(613\) | 27.7441 | + | 38.1864i | 1.12057 | + | 1.54234i | 0.804844 | + | 0.593487i | \(0.202249\pi\) |
0.315729 | + | 0.948849i | \(0.397751\pi\) | |||||||
\(614\) | 39.9153 | + | 2.86116i | 1.61085 | + | 0.115467i | ||||
\(615\) | −2.59862 | + | 11.0408i | −0.104786 | + | 0.445209i | ||||
\(616\) | 10.9571 | + | 12.2979i | 0.441473 | + | 0.495498i | ||||
\(617\) | −5.68196 | + | 17.4873i | −0.228747 | + | 0.704011i | 0.769143 | + | 0.639077i | \(0.220684\pi\) |
−0.997890 | + | 0.0649336i | \(0.979316\pi\) | |||||||
\(618\) | 23.7190 | + | 13.2045i | 0.954117 | + | 0.531162i | ||||
\(619\) | 0.368158 | + | 0.119622i | 0.0147975 | + | 0.00480801i | 0.316406 | − | 0.948624i | \(-0.397524\pi\) |
−0.301609 | + | 0.953432i | \(0.597524\pi\) | |||||||
\(620\) | 15.8300 | − | 24.9063i | 0.635749 | − | 1.00026i | ||||
\(621\) | 26.1940 | − | 7.01139i | 1.05113 | − | 0.281357i | ||||
\(622\) | −27.2242 | − | 22.9249i | −1.09159 | − | 0.919205i | ||||
\(623\) | 3.70258 | − | 5.09616i | 0.148341 | − | 0.204173i | ||||
\(624\) | −7.96813 | − | 3.44893i | −0.318981 | − | 0.138068i | ||||
\(625\) | 22.6655 | + | 10.5487i | 0.906620 | + | 0.421947i | ||||
\(626\) | 16.7139 | + | 26.8520i | 0.668022 | + | 1.07322i | ||||
\(627\) | 7.55640 | + | 0.928473i | 0.301774 | + | 0.0370796i | ||||
\(628\) | −4.60280 | + | 31.9413i | −0.183672 | + | 1.27460i | ||||
\(629\) | −23.0357 | + | 7.48475i | −0.918493 | + | 0.298437i | ||||
\(630\) | 42.2068 | + | 4.69643i | 1.68156 | + | 0.187110i | ||||
\(631\) | 35.2927 | + | 11.4673i | 1.40498 | + | 0.456506i | 0.910798 | − | 0.412852i | \(-0.135467\pi\) |
0.494183 | + | 0.869358i | \(0.335467\pi\) | |||||||
\(632\) | −10.0133 | + | 0.999463i | −0.398307 | + | 0.0397565i | ||||
\(633\) | −4.06575 | − | 20.9261i | −0.161599 | − | 0.831739i | ||||
\(634\) | 4.42954 | − | 10.9086i | 0.175920 | − | 0.433238i | ||||
\(635\) | 5.62695 | − | 6.19709i | 0.223299 | − | 0.245924i | ||||
\(636\) | −29.3475 | − | 19.2081i | −1.16371 | − | 0.761650i | ||||
\(637\) | 9.60448 | + | 13.2194i | 0.380544 | + | 0.523773i | ||||
\(638\) | 11.6102 | + | 4.71443i | 0.459654 | + | 0.186646i | ||||
\(639\) | 10.6434 | − | 4.29806i | 0.421046 | − | 0.170029i | ||||
\(640\) | 14.4885 | − | 20.7384i | 0.572709 | − | 0.819759i | ||||
\(641\) | 16.3537 | + | 22.5089i | 0.645931 | + | 0.889048i | 0.998914 | − | 0.0465817i | \(-0.0148328\pi\) |
−0.352983 | + | 0.935630i | \(0.614833\pi\) | |||||||
\(642\) | −15.5977 | − | 16.7880i | −0.615592 | − | 0.662570i | ||||
\(643\) | 47.4878 | 1.87274 | 0.936368 | − | 0.351019i | \(-0.114165\pi\) | ||||
0.936368 | + | 0.351019i | \(0.114165\pi\) | |||||||
\(644\) | −32.5721 | + | 33.4946i | −1.28352 | + | 1.31987i | ||||
\(645\) | −15.2140 | − | 17.6532i | −0.599050 | − | 0.695093i | ||||
\(646\) | 16.0693 | − | 19.0830i | 0.632239 | − | 0.750809i | ||||
\(647\) | 23.4696 | − | 7.62574i | 0.922685 | − | 0.299799i | 0.191117 | − | 0.981567i | \(-0.438789\pi\) |
0.731568 | + | 0.681769i | \(0.238789\pi\) | |||||||
\(648\) | 25.3835 | + | 1.91741i | 0.997159 | + | 0.0753231i | ||||
\(649\) | −6.37638 | −0.250295 | ||||||||
\(650\) | 2.94656 | + | 8.35734i | 0.115574 | + | 0.327802i | ||||
\(651\) | −44.7514 | + | 24.8010i | −1.75394 | + | 0.972029i | ||||
\(652\) | 7.25954 | − | 3.82753i | 0.284306 | − | 0.149897i | ||||
\(653\) | −9.76882 | − | 30.0653i | −0.382283 | − | 1.17655i | −0.938432 | − | 0.345464i | \(-0.887721\pi\) |
0.556149 | − | 0.831083i | \(-0.312279\pi\) | |||||||
\(654\) | −1.65247 | + | 8.41887i | −0.0646168 | + | 0.329204i | ||||
\(655\) | −2.99072 | − | 1.34656i | −0.116857 | − | 0.0526143i | ||||
\(656\) | −3.92965 | − | 11.0357i | −0.153427 | − | 0.430873i | ||||
\(657\) | 36.7778 | + | 22.9902i | 1.43484 | + | 0.896932i | ||||
\(658\) | −44.5487 | + | 11.0247i | −1.73669 | + | 0.429788i | ||||
\(659\) | 5.43161 | − | 3.94629i | 0.211585 | − | 0.153726i | −0.476945 | − | 0.878933i | \(-0.658256\pi\) |
0.688531 | + | 0.725207i | \(0.258256\pi\) | |||||||
\(660\) | 0.605397 | − | 10.0585i | 0.0235650 | − | 0.391528i | ||||
\(661\) | 11.6305 | + | 8.45008i | 0.452376 | + | 0.328670i | 0.790533 | − | 0.612419i | \(-0.209804\pi\) |
−0.338157 | + | 0.941090i | \(0.609804\pi\) | |||||||
\(662\) | −31.5373 | − | 12.8060i | −1.22573 | − | 0.497718i | ||||
\(663\) | −4.79032 | + | 10.2705i | −0.186040 | + | 0.398875i | ||||
\(664\) | 10.6398 | + | 6.21738i | 0.412903 | + | 0.241281i | ||||
\(665\) | −13.8851 | + | 30.8390i | −0.538441 | + | 1.19589i | ||||
\(666\) | 15.9457 | − | 11.5386i | 0.617883 | − | 0.447110i | ||||
\(667\) | −10.9838 | + | 33.8046i | −0.425294 | + | 1.30892i | ||||
\(668\) | 8.65638 | + | 4.25946i | 0.334925 | + | 0.164804i | ||||
\(669\) | 28.0292 | − | 5.44581i | 1.08367 | − | 0.210547i | ||||
\(670\) | −15.9672 | − | 8.61161i | −0.616866 | − | 0.332695i | ||||
\(671\) | −3.87602 | − | 11.9292i | −0.149632 | − | 0.460520i | ||||
\(672\) | −39.2535 | + | 19.5669i | −1.51424 | + | 0.754809i | ||||
\(673\) | 14.8417 | − | 20.4278i | 0.572104 | − | 0.787434i | −0.420698 | − | 0.907201i | \(-0.638215\pi\) |
0.992802 | + | 0.119767i | \(0.0382147\pi\) | |||||||
\(674\) | −2.32853 | − | 3.74095i | −0.0896918 | − | 0.144096i | ||||
\(675\) | −16.1757 | − | 20.3310i | −0.622601 | − | 0.782539i | ||||
\(676\) | 10.0923 | − | 20.5103i | 0.388167 | − | 0.788860i | ||||
\(677\) | 22.7742 | + | 16.5464i | 0.875284 | + | 0.635931i | 0.932000 | − | 0.362459i | \(-0.118063\pi\) |
−0.0567157 | + | 0.998390i | \(0.518063\pi\) | |||||||
\(678\) | −5.92152 | + | 30.1685i | −0.227415 | + | 1.15861i | ||||
\(679\) | 38.1697 | − | 12.4021i | 1.46482 | − | 0.475948i | ||||
\(680\) | −26.5300 | − | 19.6594i | −1.01738 | − | 0.753903i | ||||
\(681\) | 0.252814 | + | 1.30122i | 0.00968787 | + | 0.0498628i | ||||
\(682\) | 6.41543 | + | 10.3068i | 0.245659 | + | 0.394668i | ||||
\(683\) | −3.41152 | − | 1.10847i | −0.130538 | − | 0.0424145i | 0.243019 | − | 0.970021i | \(-0.421862\pi\) |
−0.373558 | + | 0.927607i | \(0.621862\pi\) | |||||||
\(684\) | −7.66317 | + | 18.7688i | −0.293008 | + | 0.717641i | ||||
\(685\) | 5.22971 | + | 9.14617i | 0.199817 | + | 0.349457i | ||||
\(686\) | 38.1302 | + | 2.73320i | 1.45582 | + | 0.104354i | ||||
\(687\) | 9.95875 | + | 4.64489i | 0.379950 | + | 0.177214i | ||||
\(688\) | 23.0895 | + | 6.79560i | 0.880279 | + | 0.259080i | ||||
\(689\) | −7.45841 | + | 10.2656i | −0.284143 | + | 0.391089i | ||||
\(690\) | 28.5811 | − | 0.327080i | 1.08806 | − | 0.0124517i | ||||
\(691\) | −5.82024 | − | 8.01087i | −0.221412 | − | 0.304748i | 0.683832 | − | 0.729640i | \(-0.260312\pi\) |
−0.905244 | + | 0.424892i | \(0.860312\pi\) | |||||||
\(692\) | −32.5494 | − | 31.6529i | −1.23734 | − | 1.20326i | ||||
\(693\) | −9.26037 | + | 14.8140i | −0.351772 | + | 0.562737i | ||||
\(694\) | −12.5954 | + | 3.11704i | −0.478114 | + | 0.118321i | ||||
\(695\) | 18.4781 | + | 16.7781i | 0.700914 | + | 0.636429i | ||||
\(696\) | −20.2228 | + | 26.5415i | −0.766545 | + | 1.00605i | ||||
\(697\) | −14.5418 | + | 4.72493i | −0.550811 | + | 0.178969i | ||||
\(698\) | −1.14523 | − | 0.0820911i | −0.0433477 | − | 0.00310720i | ||||
\(699\) | 7.43392 | + | 13.4139i | 0.281177 | + | 0.507360i | ||||
\(700\) | 41.8805 | + | 15.8076i | 1.58293 | + | 0.597471i | ||||
\(701\) | − | 18.6611i | − | 0.704821i | −0.935846 | − | 0.352410i | \(-0.885362\pi\) | ||
0.935846 | − | 0.352410i | \(-0.114638\pi\) | |||||||
\(702\) | 1.14064 | − | 9.13830i | 0.0430507 | − | 0.344903i | ||||
\(703\) | 4.84387 | + | 14.9079i | 0.182690 | + | 0.562262i | ||||
\(704\) | 5.10894 | + | 9.06689i | 0.192550 | + | 0.341721i | ||||
\(705\) | 24.0042 | + | 14.5629i | 0.904051 | + | 0.548470i | ||||
\(706\) | −10.8833 | − | 43.9774i | −0.409599 | − | 1.65511i | ||||
\(707\) | − | 26.6678i | − | 1.00295i | ||||||
\(708\) | 4.45321 | − | 16.3850i | 0.167362 | − | 0.615785i | ||||
\(709\) | 24.5731 | − | 17.8534i | 0.922862 | − | 0.670499i | −0.0213726 | − | 0.999772i | \(-0.506804\pi\) |
0.944235 | + | 0.329273i | \(0.106804\pi\) | |||||||
\(710\) | 11.9914 | − | 1.61290i | 0.450028 | − | 0.0605312i | ||||
\(711\) | −3.99664 | − | 9.89696i | −0.149886 | − | 0.371165i | ||||
\(712\) | 2.97171 | − | 2.64770i | 0.111370 | − | 0.0992268i | ||||
\(713\) | −27.8597 | + | 20.2413i | −1.04335 | + | 0.758041i | ||||
\(714\) | 24.0989 | + | 51.9283i | 0.901877 | + | 1.94337i | ||||
\(715\) | −3.62388 | − | 0.396201i | −0.135526 | − | 0.0148171i | ||||
\(716\) | −0.494758 | − | 2.86434i | −0.0184900 | − | 0.107045i | ||||
\(717\) | 2.30996 | − | 0.448803i | 0.0862669 | − | 0.0167608i | ||||
\(718\) | −15.1469 | + | 9.42814i | −0.565279 | + | 0.351855i | ||||
\(719\) | 14.3775 | − | 44.2494i | 0.536190 | − | 1.65022i | −0.204873 | − | 0.978789i | \(-0.565678\pi\) |
0.741063 | − | 0.671435i | \(-0.234322\pi\) | |||||||
\(720\) | 25.4239 | + | 8.58044i | 0.947494 | + | 0.319774i | ||||
\(721\) | −15.3306 | − | 47.1827i | −0.570941 | − | 1.75717i | ||||
\(722\) | 8.20366 | + | 6.90812i | 0.305309 | + | 0.257094i | ||||
\(723\) | −1.73153 | + | 14.0921i | −0.0643962 | + | 0.524091i | ||||
\(724\) | −10.7357 | + | 21.8179i | −0.398990 | + | 0.810855i | ||||
\(725\) | 33.8980 | − | 3.27667i | 1.25894 | − | 0.121692i | ||||
\(726\) | −19.9202 | − | 11.0897i | −0.739308 | − | 0.411577i | ||||
\(727\) | −27.5008 | − | 19.9805i | −1.01995 | − | 0.741035i | −0.0536754 | − | 0.998558i | \(-0.517094\pi\) |
−0.966272 | + | 0.257523i | \(0.917094\pi\) | |||||||
\(728\) | 6.37784 | + | 14.5291i | 0.236379 | + | 0.538485i | ||||
\(729\) | 5.59992 | + | 26.4129i | 0.207404 | + | 0.978255i | ||||
\(730\) | 31.5633 | + | 33.0746i | 1.16821 | + | 1.22415i | ||||
\(731\) | 9.70791 | − | 29.8779i | 0.359060 | − | 1.10507i | ||||
\(732\) | 33.3606 | − | 1.62872i | 1.23304 | − | 0.0601993i | ||||
\(733\) | −30.2488 | − | 9.82844i | −1.11727 | − | 0.363022i | −0.308542 | − | 0.951211i | \(-0.599841\pi\) |
−0.808724 | + | 0.588189i | \(0.799841\pi\) | |||||||
\(734\) | −19.2395 | + | 47.3813i | −0.710145 | + | 1.74888i | ||||
\(735\) | −32.9669 | − | 38.2524i | −1.21600 | − | 1.41096i | ||||
\(736\) | −24.6166 | + | 16.2934i | −0.907380 | + | 0.600583i | ||||
\(737\) | 6.03772 | − | 4.38666i | 0.222402 | − | 0.161585i | ||||
\(738\) | 10.0661 | − | 7.28400i | 0.370539 | − | 0.268128i | ||||
\(739\) | −2.31204 | + | 3.18225i | −0.0850497 | + | 0.117061i | −0.849422 | − | 0.527715i | \(-0.823049\pi\) |
0.764372 | + | 0.644775i | \(0.223049\pi\) | |||||||
\(740\) | 19.2956 | − | 7.62432i | 0.709319 | − | 0.280275i | ||||
\(741\) | 6.64674 | + | 3.10013i | 0.244174 | + | 0.113886i | ||||
\(742\) | 15.3984 | + | 62.2219i | 0.565292 | + | 2.28424i | ||||
\(743\) | 1.51567i | 0.0556044i | 0.999613 | + | 0.0278022i | \(0.00885085\pi\) | ||||
−0.999613 | + | 0.0278022i | \(0.991149\pi\) | |||||||
\(744\) | −30.9652 | + | 9.28711i | −1.13524 | + | 0.340482i | ||||
\(745\) | 18.2484 | + | 1.99511i | 0.668571 | + | 0.0730952i | ||||
\(746\) | −13.4853 | + | 16.0143i | −0.493731 | + | 0.586325i | ||||
\(747\) | −3.16428 | + | 12.6819i | −0.115775 | + | 0.464006i | ||||
\(748\) | 12.0160 | − | 6.33533i | 0.439349 | − | 0.231643i | ||||
\(749\) | 41.8783i | 1.53020i | ||||||||
\(750\) | −11.2161 | − | 24.9840i | −0.409555 | − | 0.912286i | ||||
\(751\) | 4.07456i | 0.148683i | 0.997233 | + | 0.0743413i | \(0.0236854\pi\) | ||||
−0.997233 | + | 0.0743413i | \(0.976315\pi\) | |||||||
\(752\) | −28.9858 | + | 0.809664i | −1.05700 | + | 0.0295254i | ||||
\(753\) | 8.41214 | − | 9.01935i | 0.306555 | − | 0.328683i | ||||
\(754\) | 9.23380 | + | 7.77558i | 0.336275 | + | 0.283170i | ||||
\(755\) | −7.62227 | − | 0.833346i | −0.277403 | − | 0.0303286i | ||||
\(756\) | −31.5992 | − | 34.1417i | −1.14925 | − | 1.24172i | ||||
\(757\) | − | 39.9026i | − | 1.45028i | −0.688599 | − | 0.725142i | \(-0.741774\pi\) | ||
0.688599 | − | 0.725142i | \(-0.258226\pi\) | |||||||
\(758\) | 4.98701 | − | 1.23416i | 0.181136 | − | 0.0448267i | ||||
\(759\) | −4.97027 | + | 10.6564i | −0.180409 | + | 0.386802i | ||||
\(760\) | −12.7229 | + | 17.1693i | −0.461507 | + | 0.622795i | ||||
\(761\) | 9.31639 | − | 12.8229i | 0.337719 | − | 0.464830i | −0.606055 | − | 0.795423i | \(-0.707249\pi\) |
0.943773 | + | 0.330593i | \(0.107249\pi\) | |||||||
\(762\) | −9.10319 | + | 1.10081i | −0.329774 | + | 0.0398781i | ||||
\(763\) | 12.6846 | − | 9.21593i | 0.459215 | − | 0.333639i | ||||
\(764\) | −32.4810 | + | 17.1253i | −1.17512 | + | 0.619572i | ||||
\(765\) | 12.1217 | − | 32.8586i | 0.438262 | − | 1.18800i | ||||
\(766\) | 8.98147 | + | 3.64699i | 0.324514 | + | 0.131771i | ||||
\(767\) | −5.84201 | − | 1.89818i | −0.210943 | − | 0.0685394i | ||||
\(768\) | −26.8666 | + | 6.79587i | −0.969466 | + | 0.245225i | ||||
\(769\) | −2.21356 | + | 6.81263i | −0.0798229 | + | 0.245670i | −0.983002 | − | 0.183594i | \(-0.941227\pi\) |
0.903179 | + | 0.429264i | \(0.141227\pi\) | |||||||
\(770\) | −13.3224 | + | 12.7136i | −0.480104 | + | 0.458167i | ||||
\(771\) | −19.2607 | + | 20.6509i | −0.693656 | + | 0.743726i | ||||
\(772\) | 1.36393 | − | 9.46504i | 0.0490889 | − | 0.340654i | ||||
\(773\) | −20.3181 | − | 14.7620i | −0.730791 | − | 0.530951i | 0.159022 | − | 0.987275i | \(-0.449166\pi\) |
−0.889814 | + | 0.456324i | \(0.849166\pi\) | |||||||
\(774\) | −0.0489665 | + | 25.5287i | −0.00176006 | + | 0.917612i | ||||
\(775\) | 28.4353 | + | 16.7355i | 1.02143 | + | 0.601156i | ||||
\(776\) | 25.2331 | − | 2.51861i | 0.905816 | − | 0.0904129i | ||||
\(777\) | −35.7014 | − | 4.38672i | −1.28078 | − | 0.157373i | ||||
\(778\) | 7.17012 | − | 8.51479i | 0.257061 | − | 0.305270i | ||||
\(779\) | 3.05781 | + | 9.41097i | 0.109557 | + | 0.337183i | ||||
\(780\) | 3.54898 | − | 9.03535i | 0.127074 | − | 0.323517i | ||||
\(781\) | −1.53811 | + | 4.73383i | −0.0550380 | + | 0.169390i | ||||
\(782\) | 20.3613 | + | 32.7118i | 0.728118 | + | 1.16977i | ||||
\(783\) | −33.0380 | − | 12.6919i | −1.18068 | − | 0.453572i | ||||
\(784\) | 50.0323 | + | 14.7253i | 1.78687 | + | 0.525903i | ||||
\(785\) | −35.8666 | − | 3.92131i | −1.28013 | − | 0.139958i | ||||
\(786\) | 1.51247 | + | 3.25908i | 0.0539481 | + | 0.116247i | ||||
\(787\) | 16.0768 | − | 11.6805i | 0.573076 | − | 0.416364i | −0.263145 | − | 0.964756i | \(-0.584760\pi\) |
0.836221 | + | 0.548392i | \(0.184760\pi\) | |||||||
\(788\) | −0.565993 | − | 3.27674i | −0.0201627 | − | 0.116729i | ||||
\(789\) | 45.8841 | + | 5.63789i | 1.63352 | + | 0.200714i | ||||
\(790\) | −1.49979 | − | 11.1504i | −0.0533601 | − | 0.396714i | ||||
\(791\) | 45.4545 | − | 33.0246i | 1.61618 | − | 1.17422i | ||||
\(792\) | −7.71082 | + | 7.89885i | −0.273992 | + | 0.280673i | ||||
\(793\) | − | 12.0833i | − | 0.429090i | ||||||
\(794\) | 21.8504 | − | 5.40744i | 0.775443 | − | 0.191903i | ||||
\(795\) | 20.3402 | − | 33.5270i | 0.721392 | − | 1.18908i | ||||
\(796\) | −4.28383 | + | 29.7278i | −0.151836 | + | 1.05367i | ||||
\(797\) | 3.61663 | + | 11.1308i | 0.128108 | + | 0.394275i | 0.994454 | − | 0.105168i | \(-0.0335381\pi\) |
−0.866347 | + | 0.499443i | \(0.833538\pi\) | |||||||
\(798\) | 33.6062 | − | 15.5959i | 1.18965 | − | 0.552090i | ||||
\(799\) | 37.8481i | 1.33897i | ||||||||
\(800\) | 23.7269 | + | 15.3959i | 0.838873 | + | 0.544328i | ||||
\(801\) | 3.57970 | + | 2.23771i | 0.126482 | + | 0.0790654i | ||||
\(802\) | −2.14311 | + | 29.8980i | −0.0756758 | + | 1.05573i | ||||
\(803\) | −17.8872 | + | 5.81189i | −0.631224 | + | 0.205097i | ||||
\(804\) | 7.05541 | + | 18.5783i | 0.248825 | + | 0.655207i | ||||
\(805\) | −38.6721 | − | 35.1142i | −1.36301 | − | 1.23761i | ||||
\(806\) | 2.80955 | + | 11.3529i | 0.0989622 | + | 0.399887i | ||||
\(807\) | −18.4820 | + | 10.2427i | −0.650597 | + | 0.360558i | ||||
\(808\) | 3.58955 | − | 16.4632i | 0.126280 | − | 0.579173i | ||||
\(809\) | 8.24497 | + | 11.3482i | 0.289878 | + | 0.398982i | 0.928974 | − | 0.370144i | \(-0.120692\pi\) |
−0.639097 | + | 0.769126i | \(0.720692\pi\) | |||||||
\(810\) | −1.17155 | + | 28.4364i | −0.0411642 | + | 0.999152i | ||||
\(811\) | −1.15637 | + | 1.59160i | −0.0406055 | + | 0.0558887i | −0.828837 | − | 0.559490i | \(-0.810997\pi\) |
0.788231 | + | 0.615379i | \(0.210997\pi\) | |||||||
\(812\) | 60.0900 | − | 10.3794i | 2.10875 | − | 0.364245i | ||||
\(813\) | −2.35697 | + | 5.05339i | −0.0826624 | + | 0.177230i | ||||
\(814\) | −0.610231 | + | 8.51318i | −0.0213886 | + | 0.298387i | ||||
\(815\) | 4.55448 | + | 7.96526i | 0.159536 | + | 0.279011i | ||||
\(816\) | 7.88760 | + | 35.3013i | 0.276121 | + | 1.23579i | ||||
\(817\) | −19.3359 | − | 6.28262i | −0.676478 | − | 0.219801i | ||||
\(818\) | −41.3003 | + | 25.7072i | −1.44403 | + | 0.898830i | ||||
\(819\) | −12.8943 | + | 10.8158i | −0.450563 | + | 0.377934i | ||||
\(820\) | 12.1808 | − | 4.81303i | 0.425371 | − | 0.168078i | ||||
\(821\) | −49.3379 | + | 16.0308i | −1.72190 | + | 0.559480i | −0.992241 | − | 0.124327i | \(-0.960323\pi\) |
−0.729662 | + | 0.683808i | \(0.760323\pi\) | |||||||
\(822\) | 2.22294 | − | 11.3252i | 0.0775339 | − | 0.395013i | ||||
\(823\) | −27.8572 | − | 20.2394i | −0.971041 | − | 0.705502i | −0.0153523 | − | 0.999882i | \(-0.504887\pi\) |
−0.955689 | + | 0.294380i | \(0.904887\pi\) | |||||||
\(824\) | −3.11333 | − | 31.1914i | −0.108458 | − | 1.08660i | ||||
\(825\) | 11.2623 | + | 0.291717i | 0.392105 | + | 0.0101563i | ||||
\(826\) | −26.3434 | + | 16.3973i | −0.916604 | + | 0.570536i | ||||
\(827\) | −10.8984 | + | 15.0003i | −0.378974 | + | 0.521613i | −0.955312 | − | 0.295598i | \(-0.904481\pi\) |
0.576338 | + | 0.817211i | \(0.304481\pi\) | |||||||
\(828\) | −23.9118 | − | 20.2141i | −0.830992 | − | 0.702488i | ||||
\(829\) | −1.48034 | − | 4.55601i | −0.0514142 | − | 0.158237i | 0.922053 | − | 0.387064i | \(-0.126511\pi\) |
−0.973467 | + | 0.228827i | \(0.926511\pi\) | |||||||
\(830\) | −6.54020 | + | 12.1265i | −0.227014 | + | 0.420916i | ||||
\(831\) | −2.20424 | − | 11.3450i | −0.0764641 | − | 0.393555i | ||||
\(832\) | 1.98167 | + | 9.82792i | 0.0687019 | + | 0.340722i | ||||
\(833\) | 21.0359 | − | 64.7419i | 0.728851 | − | 2.24317i | ||||
\(834\) | −3.28233 | − | 27.1433i | −0.113658 | − | 0.939896i | ||||
\(835\) | −4.42833 | + | 9.83538i | −0.153249 | + | 0.340367i | ||||
\(836\) | −4.10001 | − | 7.77635i | −0.141802 | − | 0.268951i | ||||
\(837\) | −18.6676 | − | 28.7620i | −0.645248 | − | 0.994160i | ||||
\(838\) | 14.9124 | − | 36.7247i | 0.515139 | − | 1.26864i | ||||
\(839\) | −22.6618 | − | 16.4647i | −0.782371 | − | 0.568426i | 0.123319 | − | 0.992367i | \(-0.460646\pi\) |
−0.905690 | + | 0.423941i | \(0.860646\pi\) | |||||||
\(840\) | −23.3651 | − | 43.1126i | −0.806172 | − | 1.48753i | ||||
\(841\) | 14.0707 | − | 10.2230i | 0.485197 | − | 0.352516i | ||||
\(842\) | −13.4032 | − | 54.1597i | −0.461904 | − | 1.86647i | ||||
\(843\) | −8.81464 | + | 4.88504i | −0.303592 | + | 0.168250i | ||||
\(844\) | −17.1609 | + | 17.6470i | −0.590703 | + | 0.607433i | ||||
\(845\) | 23.3039 | + | 10.4924i | 0.801678 | + | 0.360951i | ||||
\(846\) | −9.44803 | − | 29.2689i | −0.324830 | − | 1.00629i | ||||
\(847\) | 12.8753 | + | 39.6260i | 0.442399 | + | 1.36157i | ||||
\(848\) | 1.13087 | + | 40.4849i | 0.0388342 | + | 1.39026i | ||||
\(849\) | −20.2579 | − | 36.5537i | −0.695250 | − | 1.25452i | ||||
\(850\) | 20.9522 | − | 30.3960i | 0.718655 | − | 1.04258i | ||||
\(851\) | −24.2099 | −0.829904 | ||||||||
\(852\) | −11.0900 | − | 7.25845i | −0.379937 | − | 0.248671i | ||||
\(853\) | 14.2429 | − | 4.62781i | 0.487668 | − | 0.158453i | −0.0548540 | − | 0.998494i | \(-0.517469\pi\) |
0.542522 | + | 0.840041i | \(0.317469\pi\) | |||||||
\(854\) | −46.6901 | − | 39.3167i | −1.59770 | − | 1.34539i | ||||
\(855\) | −21.2649 | − | 7.84475i | −0.727245 | − | 0.268285i | ||||
\(856\) | −5.63692 | + | 25.8533i | −0.192666 | + | 0.883647i | ||||
\(857\) | −51.0166 | −1.74270 | −0.871348 | − | 0.490666i | \(-0.836754\pi\) | ||||
−0.871348 | + | 0.490666i | \(0.836754\pi\) | |||||||
\(858\) | 2.71815 | + | 2.92559i | 0.0927962 | + | 0.0998779i | ||||
\(859\) | −5.44504 | − | 7.49446i | −0.185782 | − | 0.255708i | 0.705959 | − | 0.708253i | \(-0.250516\pi\) |
−0.891742 | + | 0.452545i | \(0.850516\pi\) | |||||||
\(860\) | −6.71008 | + | 26.0597i | −0.228812 | + | 0.888628i | ||||
\(861\) | −22.5374 | − | 2.76922i | −0.768072 | − | 0.0943748i | ||||
\(862\) | 16.7773 | − | 41.3174i | 0.571436 | − | 1.40728i | ||||
\(863\) | −11.0811 | − | 15.2519i | −0.377206 | − | 0.519179i | 0.577636 | − | 0.816295i | \(-0.303975\pi\) |
−0.954842 | + | 0.297115i | \(0.903975\pi\) | |||||||
\(864\) | −14.9120 | − | 25.3305i | −0.507316 | − | 0.861760i | ||||
\(865\) | 34.1233 | − | 37.5808i | 1.16023 | − | 1.27778i | ||||
\(866\) | −46.8544 | − | 19.0256i | −1.59218 | − | 0.646515i | ||||
\(867\) | 17.4417 | − | 3.38876i | 0.592352 | − | 0.115088i | ||||
\(868\) | 53.0095 | + | 26.0839i | 1.79926 | + | 0.885344i | ||||
\(869\) | 4.40184 | + | 1.43025i | 0.149322 | + | 0.0485177i | ||||
\(870\) | −30.4305 | − | 21.5814i | −1.03169 | − | 0.731677i | ||||
\(871\) | 6.83759 | − | 2.22167i | 0.231683 | − | 0.0752783i | ||||
\(872\) | 9.07126 | − | 3.98201i | 0.307192 | − | 0.134848i | ||||
\(873\) | 10.0714 | + | 24.9400i | 0.340865 | + | 0.844090i | ||||
\(874\) | 21.1699 | − | 13.1771i | 0.716083 | − | 0.445723i | ||||
\(875\) | −16.0611 | + | 47.4011i | −0.542966 | + | 1.60245i | ||||
\(876\) | −2.44218 | − | 50.0224i | −0.0825138 | − | 1.69010i | ||||
\(877\) | 0.0234616 | − | 0.0322921i | 0.000792243 | − | 0.00109043i | −0.808621 | − | 0.588330i | \(-0.799785\pi\) |
0.809413 | + | 0.587240i | \(0.199785\pi\) | |||||||
\(878\) | 32.5697 | − | 38.6777i | 1.09917 | − | 1.30531i | ||||
\(879\) | −25.4139 | + | 27.2484i | −0.857190 | + | 0.919064i | ||||
\(880\) | −9.93574 | + | 6.05544i | −0.334934 | + | 0.204129i | ||||
\(881\) | −26.7205 | − | 8.68200i | −0.900235 | − | 0.292504i | −0.177901 | − | 0.984048i | \(-0.556931\pi\) |
−0.722334 | + | 0.691544i | \(0.756931\pi\) | |||||||
\(882\) | −0.106105 | + | 55.3179i | −0.00357273 | + | 1.86265i | ||||
\(883\) | 8.08271 | − | 24.8760i | 0.272005 | − | 0.837145i | −0.717991 | − | 0.696052i | \(-0.754938\pi\) |
0.989996 | − | 0.141093i | \(-0.0450617\pi\) | |||||||
\(884\) | 12.8950 | − | 2.22735i | 0.433705 | − | 0.0749140i | ||||
\(885\) | 18.4786 | + | 4.34920i | 0.621150 | + | 0.146197i | ||||
\(886\) | 1.04370 | − | 14.5604i | 0.0350638 | − | 0.489167i | ||||
\(887\) | −16.9995 | − | 23.3978i | −0.570788 | − | 0.785623i | 0.421859 | − | 0.906661i | \(-0.361378\pi\) |
−0.992648 | + | 0.121038i | \(0.961378\pi\) | |||||||
\(888\) | −21.4496 | − | 7.51361i | −0.719801 | − | 0.252140i | ||||
\(889\) | 13.5569 | + | 9.84969i | 0.454685 | + | 0.330348i | ||||
\(890\) | 3.07216 | + | 3.21926i | 0.102979 | + | 0.107910i | ||||
\(891\) | −10.3357 | − | 5.50019i | −0.346260 | − | 0.184263i | ||||
\(892\) | −23.6370 | − | 22.9859i | −0.791424 | − | 0.769626i | ||||
\(893\) | 24.4940 | 0.819659 | ||||||||
\(894\) | −13.6875 | − | 14.7321i | −0.457779 | − | 0.492715i | ||||
\(895\) | 3.18163 | − | 0.662394i | 0.106350 | − | 0.0221414i | ||||
\(896\) | 44.4233 | + | 24.3210i | 1.48408 | + | 0.812507i | ||||
\(897\) | −7.72603 | + | 8.28372i | −0.257965 | + | 0.276585i | ||||
\(898\) | −0.618219 | + | 8.62461i | −0.0206302 | + | 0.287807i | ||||
\(899\) | 44.9465 | 1.49905 | ||||||||
\(900\) | −8.61514 | + | 28.7364i | −0.287171 | + | 0.957879i | ||||
\(901\) | 52.8630 | 1.76112 | ||||||||
\(902\) | −0.385223 | + | 5.37415i | −0.0128265 | + | 0.178940i | ||||
\(903\) | 31.8208 | − | 34.1177i | 1.05893 | − | 1.13537i | ||||
\(904\) | 32.5062 | − | 14.2693i | 1.08114 | − | 0.474588i | ||||
\(905\) | −24.7895 | − | 11.1613i | −0.824031 | − | 0.371015i | ||||
\(906\) | 5.71720 | + | 6.15351i | 0.189941 | + | 0.204437i | ||||
\(907\) | −43.6751 | −1.45021 | −0.725104 | − | 0.688640i | \(-0.758208\pi\) | ||||
−0.725104 | + | 0.688640i | \(0.758208\pi\) | |||||||
\(908\) | 1.06709 | − | 1.09731i | 0.0354126 | − | 0.0364156i | ||||
\(909\) | 17.8288 | − | 1.24361i | 0.591343 | − | 0.0412480i | ||||
\(910\) | −15.9906 | + | 7.68221i | −0.530083 | + | 0.254663i | ||||
\(911\) | −25.1270 | − | 18.2558i | −0.832495 | − | 0.604843i | 0.0877692 | − | 0.996141i | \(-0.472026\pi\) |
−0.920264 | + | 0.391298i | \(0.872026\pi\) | |||||||
\(912\) | 22.8458 | − | 5.10458i | 0.756500 | − | 0.169030i | ||||
\(913\) | −3.33150 | − | 4.58542i | −0.110257 | − | 0.151755i | ||||
\(914\) | −2.06471 | + | 28.8043i | −0.0682946 | + | 0.952760i | ||||
\(915\) | 3.09595 | + | 37.2141i | 0.102349 | + | 1.23026i | ||||
\(916\) | −2.15974 | − | 12.5035i | −0.0713597 | − | 0.413128i | ||||
\(917\) | 2.02903 | − | 6.24472i | 0.0670045 | − | 0.206219i | ||||
\(918\) | −33.5928 | + | 18.5329i | −1.10873 | + | 0.611676i | ||||
\(919\) | 2.97515 | + | 0.966686i | 0.0981413 | + | 0.0318880i | 0.357676 | − | 0.933846i | \(-0.383569\pi\) |
−0.259535 | + | 0.965734i | \(0.583569\pi\) | |||||||
\(920\) | −19.1475 | − | 26.8829i | −0.631274 | − | 0.886301i | ||||
\(921\) | 33.4288 | − | 35.8418i | 1.10152 | − | 1.18103i | ||||
\(922\) | −4.99511 | + | 5.93188i | −0.164505 | + | 0.195356i | ||||
\(923\) | −2.81842 | + | 3.87923i | −0.0927695 | + | 0.127686i | ||||
\(924\) | 20.1489 | − | 0.983705i | 0.662850 | − | 0.0323615i | ||||
\(925\) | 9.25731 | + | 21.2688i | 0.304379 | + | 0.699315i | ||||
\(926\) | 8.37832 | − | 5.21505i | 0.275329 | − | 0.171377i | ||||
\(927\) | 30.8291 | − | 12.4495i | 1.01256 | − | 0.408897i | ||||
\(928\) | 38.4933 | + | 1.68062i | 1.26360 | + | 0.0551692i | ||||
\(929\) | 18.3935 | − | 5.97639i | 0.603470 | − | 0.196079i | 0.00868234 | − | 0.999962i | \(-0.497236\pi\) |
0.594787 | + | 0.803883i | \(0.297236\pi\) | |||||||
\(930\) | −11.5617 | − | 34.2447i | −0.379122 | − | 1.12293i | ||||
\(931\) | −41.8987 | − | 13.6137i | −1.37317 | − | 0.446172i | ||||
\(932\) | 7.81844 | − | 15.8892i | 0.256101 | − | 0.520467i | ||||
\(933\) | −42.7896 | + | 8.31361i | −1.40087 | + | 0.272175i | ||||
\(934\) | −16.9990 | − | 6.90258i | −0.556225 | − | 0.225859i | ||||
\(935\) | 7.53859 | + | 13.1841i | 0.246538 | + | 0.431167i | ||||
\(936\) | −9.41602 | + | 4.94145i | −0.307772 | + | 0.161516i | ||||
\(937\) | 4.28344 | + | 5.89564i | 0.139934 | + | 0.192602i | 0.873232 | − | 0.487305i | \(-0.162020\pi\) |
−0.733298 | + | 0.679907i | \(0.762020\pi\) | |||||||
\(938\) | 13.6636 | − | 33.6495i | 0.446133 | − | 1.09869i | ||||
\(939\) | 38.4481 | + | 4.72421i | 1.25471 | + | 0.154169i | ||||
\(940\) | −2.01342 | − | 32.3572i | −0.0656704 | − | 1.05537i | ||||
\(941\) | 3.86069 | + | 5.31378i | 0.125855 | + | 0.173224i | 0.867295 | − | 0.497795i | \(-0.165857\pi\) |
−0.741440 | + | 0.671019i | \(0.765857\pi\) | |||||||
\(942\) | 26.9023 | + | 28.9554i | 0.876525 | + | 0.943417i | ||||
\(943\) | −15.2831 | −0.497685 | ||||||||
\(944\) | −18.4700 | + | 6.57689i | −0.601148 | + | 0.214060i | ||||
\(945\) | 36.9406 | − | 36.6142i | 1.20168 | − | 1.19106i | ||||
\(946\) | −8.46778 | − | 7.13053i | −0.275311 | − | 0.231834i | ||||
\(947\) | −39.6930 | + | 12.8970i | −1.28985 | + | 0.419097i | −0.872039 | − | 0.489437i | \(-0.837202\pi\) |
−0.417810 | + | 0.908534i | \(0.637202\pi\) | |||||||
\(948\) | −6.74942 | + | 10.3123i | −0.219211 | + | 0.334926i | ||||
\(949\) | −18.1183 | −0.588144 | ||||||||
\(950\) | −19.6713 | − | 13.5595i | −0.638220 | − | 0.439930i | ||||
\(951\) | −6.98974 | − | 12.6124i | −0.226658 | − | 0.408985i | ||||
\(952\) | 33.3513 | − | 57.0739i | 1.08092 | − | 1.84978i | ||||
\(953\) | 3.69934 | + | 11.3854i | 0.119833 | + | 0.368809i | 0.992924 | − | 0.118748i | \(-0.0378881\pi\) |
−0.873091 | + | 0.487557i | \(0.837888\pi\) | |||||||
\(954\) | −40.8803 | + | 13.1962i | −1.32355 | + | 0.427243i | ||||
\(955\) | −20.3779 | − | 35.6386i | −0.659413 | − | 1.15324i | ||||
\(956\) | −1.94798 | − | 1.89433i | −0.0630022 | − | 0.0612669i | ||||
\(957\) | 13.4236 | − | 7.43929i | 0.433922 | − | 0.240478i | ||||
\(958\) | 13.8695 | + | 56.0442i | 0.448104 | + | 1.81070i | ||||
\(959\) | −17.0636 | + | 12.3975i | −0.551014 | + | 0.400335i | ||||
\(960\) | −8.62122 | − | 29.7603i | −0.278249 | − | 0.960509i | ||||
\(961\) | 10.1496 | + | 7.37415i | 0.327408 | + | 0.237876i | ||||
\(962\) | −3.09338 | + | 7.61807i | −0.0997345 | + | 0.245617i | ||||
\(963\) | −27.9977 | + | 1.95293i | −0.902215 | + | 0.0629322i | ||||
\(964\) | 14.5023 | − | 7.64619i | 0.467087 | − | 0.246267i | ||||
\(965\) | 10.6282 | + | 1.16199i | 0.342134 | + | 0.0374057i | ||||
\(966\) | 6.86945 | + | 56.8072i | 0.221021 | + | 1.82774i | ||||
\(967\) | 13.1508 | − | 40.4739i | 0.422901 | − | 1.30155i | −0.482090 | − | 0.876122i | \(-0.660122\pi\) |
0.904990 | − | 0.425432i | \(-0.139878\pi\) | |||||||
\(968\) | 2.61471 | + | 26.1959i | 0.0840399 | + | 0.841967i | ||||
\(969\) | −5.82747 | − | 29.9936i | −0.187205 | − | 0.963532i | ||||
\(970\) | 3.77942 | + | 28.0986i | 0.121350 | + | 0.902193i | ||||
\(971\) | −8.35909 | − | 25.7266i | −0.268256 | − | 0.825607i | −0.990925 | − | 0.134413i | \(-0.957085\pi\) |
0.722669 | − | 0.691194i | \(-0.242915\pi\) | |||||||
\(972\) | 21.3519 | − | 22.7178i | 0.684862 | − | 0.728673i | ||||
\(973\) | −29.3692 | + | 40.4232i | −0.941532 | + | 1.29591i | ||||
\(974\) | 35.2207 | − | 21.9230i | 1.12854 | − | 0.702457i | ||||
\(975\) | 10.2317 | + | 3.61996i | 0.327676 | + | 0.115931i | ||||
\(976\) | −23.5317 | − | 30.5565i | −0.753232 | − | 0.978090i | ||||
\(977\) | −24.1660 | − | 17.5576i | −0.773139 | − | 0.561718i | 0.129773 | − | 0.991544i | \(-0.458575\pi\) |
−0.902912 | + | 0.429826i | \(0.858575\pi\) | |||||||
\(978\) | 1.93593 | − | 9.86299i | 0.0619041 | − | 0.315384i | ||||
\(979\) | −1.74101 | + | 0.565689i | −0.0556430 | + | 0.0180795i | ||||
\(980\) | −14.5400 | + | 56.4683i | −0.464463 | + | 1.80382i | ||||
\(981\) | 6.75284 | + | 8.05055i | 0.215602 | + | 0.257034i | ||||
\(982\) | 3.02524 | − | 1.88305i | 0.0965394 | − | 0.0600905i | ||||
\(983\) | 14.6067 | + | 4.74601i | 0.465882 | + | 0.151374i | 0.532545 | − | 0.846401i | \(-0.321236\pi\) |
−0.0666639 | + | 0.997775i | \(0.521236\pi\) | |||||||
\(984\) | −13.5406 | − | 4.74314i | −0.431657 | − | 0.151206i | ||||
\(985\) | 3.63971 | − | 0.757765i | 0.115971 | − | 0.0241444i | ||||
\(986\) | 3.59565 | − | 50.1620i | 0.114509 | − | 1.59748i | ||||
\(987\) | −23.7584 | + | 50.9386i | −0.756239 | + | 1.62139i | ||||
\(988\) | −1.44147 | − | 8.34518i | −0.0458592 | − | 0.265496i | ||||
\(989\) | 18.4569 | − | 25.4038i | 0.586896 | − | 0.807793i | ||||
\(990\) | −9.12095 | − | 8.31378i | −0.289883 | − | 0.264229i | ||||
\(991\) | 3.85057 | + | 5.29985i | 0.122317 | + | 0.168355i | 0.865784 | − | 0.500417i | \(-0.166820\pi\) |
−0.743467 | + | 0.668772i | \(0.766820\pi\) | |||||||
\(992\) | 29.2141 | + | 23.2379i | 0.927548 | + | 0.737803i | ||||
\(993\) | −36.4629 | + | 20.2076i | −1.15712 | + | 0.641269i | ||||
\(994\) | 5.81881 | + | 23.5127i | 0.184562 | + | 0.745778i | ||||
\(995\) | −33.3810 | − | 3.64957i | −1.05825 | − | 0.115699i | ||||
\(996\) | 14.1095 | − | 5.35832i | 0.447078 | − | 0.169785i | ||||
\(997\) | −18.6227 | + | 6.05089i | −0.589788 | + | 0.191634i | −0.588681 | − | 0.808366i | \(-0.700352\pi\) |
−0.00110706 | + | 0.999999i | \(0.500352\pi\) | |||||||
\(998\) | −3.85385 | + | 53.7640i | −0.121991 | + | 1.70187i | ||||
\(999\) | 1.26786 | − | 24.0728i | 0.0401134 | − | 0.761629i |
(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 | 300.2.r.a.59.1 | ✓ | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.59.56 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.59.22 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.59.35 | yes | 224 | |
25.14 | even | 10 | inner | 300.2.r.a.239.35 | yes | 224 | |
75.14 | odd | 10 | inner | 300.2.r.a.239.22 | yes | 224 | |
100.39 | odd | 10 | inner | 300.2.r.a.239.56 | yes | 224 | |
300.239 | even | 10 | inner | 300.2.r.a.239.1 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.59.1 | ✓ | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.59.22 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.59.35 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.r.a.59.56 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.239.1 | yes | 224 | 300.239 | even | 10 | inner | |
300.2.r.a.239.22 | yes | 224 | 75.14 | odd | 10 | inner | |
300.2.r.a.239.35 | yes | 224 | 25.14 | even | 10 | inner | |
300.2.r.a.239.56 | yes | 224 | 100.39 | odd | 10 | inner |