Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(11,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.u (of order \(12\), 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: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 83.16 | ||
Character | \(\chi\) | \(=\) | 144.83 |
Dual form | 144.2.u.a.59.16 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.714386 | + | 1.22051i | 0.505147 | + | 0.863033i | ||||
\(3\) | −1.67697 | − | 0.433336i | −0.968198 | − | 0.250187i | ||||
\(4\) | −0.979306 | + | 1.74383i | −0.489653 | + | 0.871917i | ||||
\(5\) | −0.247419 | + | 0.923380i | −0.110649 | + | 0.412948i | −0.998925 | − | 0.0463628i | \(-0.985237\pi\) |
0.888276 | + | 0.459311i | \(0.151904\pi\) | |||||||
\(6\) | −0.669109 | − | 2.35633i | −0.273162 | − | 0.961968i | ||||
\(7\) | −1.93471 | + | 3.35102i | −0.731253 | + | 1.26657i | 0.225094 | + | 0.974337i | \(0.427731\pi\) |
−0.956348 | + | 0.292231i | \(0.905602\pi\) | |||||||
\(8\) | −2.82798 | + | 0.0505136i | −0.999841 | + | 0.0178592i | ||||
\(9\) | 2.62444 | + | 1.45338i | 0.874813 | + | 0.484460i | ||||
\(10\) | −1.30375 | + | 0.357671i | −0.412282 | + | 0.113106i | ||||
\(11\) | 0.936987 | + | 3.49688i | 0.282512 | + | 1.05435i | 0.950638 | + | 0.310302i | \(0.100430\pi\) |
−0.668126 | + | 0.744048i | \(0.732903\pi\) | |||||||
\(12\) | 2.39793 | − | 2.49998i | 0.692223 | − | 0.721683i | ||||
\(13\) | 1.72498 | − | 6.43770i | 0.478423 | − | 1.78550i | −0.129587 | − | 0.991568i | \(-0.541365\pi\) |
0.608010 | − | 0.793929i | \(-0.291968\pi\) | |||||||
\(14\) | −5.47210 | + | 0.0325780i | −1.46248 | + | 0.00870684i | ||||
\(15\) | 0.815048 | − | 1.44126i | 0.210444 | − | 0.372132i | ||||
\(16\) | −2.08192 | − | 3.41550i | −0.520479 | − | 0.853874i | ||||
\(17\) | 3.74282i | 0.907767i | 0.891061 | + | 0.453884i | \(0.149962\pi\) | ||||
−0.891061 | + | 0.453884i | \(0.850038\pi\) | |||||||
\(18\) | 0.100990 | + | 4.24144i | 0.0238036 | + | 0.999717i | ||||
\(19\) | 3.09199 | − | 3.09199i | 0.709351 | − | 0.709351i | −0.257048 | − | 0.966399i | \(-0.582750\pi\) |
0.966399 | + | 0.257048i | \(0.0827498\pi\) | |||||||
\(20\) | −1.36792 | − | 1.33573i | −0.305877 | − | 0.298678i | ||||
\(21\) | 4.69657 | − | 4.78118i | 1.02488 | − | 1.04334i | ||||
\(22\) | −3.59862 | + | 3.64173i | −0.767229 | + | 0.776419i | ||||
\(23\) | 0.327240 | − | 0.188932i | 0.0682344 | − | 0.0393951i | −0.465495 | − | 0.885051i | \(-0.654124\pi\) |
0.533729 | + | 0.845656i | \(0.320790\pi\) | |||||||
\(24\) | 4.76431 | + | 1.14075i | 0.972511 | + | 0.232856i | ||||
\(25\) | 3.53871 | + | 2.04308i | 0.707742 | + | 0.408615i | ||||
\(26\) | 9.08960 | − | 2.49364i | 1.78262 | − | 0.489044i | ||||
\(27\) | −3.77130 | − | 3.57454i | −0.725786 | − | 0.687920i | ||||
\(28\) | −3.94895 | − | 6.65550i | −0.746282 | − | 1.25777i | ||||
\(29\) | 1.10982 | + | 4.14191i | 0.206088 | + | 0.769133i | 0.989115 | + | 0.147144i | \(0.0470082\pi\) |
−0.783027 | + | 0.621988i | \(0.786325\pi\) | |||||||
\(30\) | 2.34134 | − | 0.0348409i | 0.427468 | − | 0.00636104i | ||||
\(31\) | 0.788179 | − | 0.455055i | 0.141561 | − | 0.0817303i | −0.427547 | − | 0.903993i | \(-0.640622\pi\) |
0.569108 | + | 0.822263i | \(0.307289\pi\) | |||||||
\(32\) | 2.68137 | − | 4.98099i | 0.474003 | − | 0.880523i | ||||
\(33\) | −0.0559708 | − | 6.27019i | −0.00974326 | − | 1.09150i | ||||
\(34\) | −4.56816 | + | 2.67382i | −0.783433 | + | 0.458556i | ||||
\(35\) | −2.61558 | − | 2.61558i | −0.442114 | − | 0.442114i | ||||
\(36\) | −5.10459 | + | 3.15328i | −0.850765 | + | 0.525547i | ||||
\(37\) | −2.13502 | + | 2.13502i | −0.350996 | + | 0.350996i | −0.860480 | − | 0.509484i | \(-0.829836\pi\) |
0.509484 | + | 0.860480i | \(0.329836\pi\) | |||||||
\(38\) | 5.98269 | + | 1.56494i | 0.970520 | + | 0.253867i | ||||
\(39\) | −5.68242 | + | 10.0483i | −0.909915 | + | 1.60902i | ||||
\(40\) | 0.653052 | − | 2.62379i | 0.103257 | − | 0.414858i | ||||
\(41\) | 3.66866 | + | 6.35430i | 0.572948 | + | 0.992375i | 0.996261 | + | 0.0863918i | \(0.0275337\pi\) |
−0.423313 | + | 0.905983i | \(0.639133\pi\) | |||||||
\(42\) | 9.19065 | + | 2.31663i | 1.41815 | + | 0.357463i | ||||
\(43\) | 2.47404 | − | 0.662918i | 0.377288 | − | 0.101094i | −0.0651910 | − | 0.997873i | \(-0.520766\pi\) |
0.442479 | + | 0.896779i | \(0.354099\pi\) | |||||||
\(44\) | −7.01559 | − | 1.79057i | −1.05764 | − | 0.269939i | ||||
\(45\) | −1.99136 | + | 2.06376i | −0.296854 | + | 0.307647i | ||||
\(46\) | 0.464370 | + | 0.264431i | 0.0684677 | + | 0.0389882i | ||||
\(47\) | −0.0726386 | + | 0.125814i | −0.0105954 | + | 0.0183518i | −0.871275 | − | 0.490796i | \(-0.836706\pi\) |
0.860679 | + | 0.509148i | \(0.170039\pi\) | |||||||
\(48\) | 2.01125 | + | 6.62985i | 0.290299 | + | 0.956936i | ||||
\(49\) | −3.98624 | − | 6.90437i | −0.569463 | − | 0.986339i | ||||
\(50\) | 0.0344027 | + | 5.77859i | 0.00486527 | + | 0.817216i | ||||
\(51\) | 1.62190 | − | 6.27659i | 0.227111 | − | 0.878898i | ||||
\(52\) | 9.53701 | + | 9.31256i | 1.32254 | + | 1.29142i | ||||
\(53\) | −5.67083 | − | 5.67083i | −0.778948 | − | 0.778948i | 0.200704 | − | 0.979652i | \(-0.435677\pi\) |
−0.979652 | + | 0.200704i | \(0.935677\pi\) | |||||||
\(54\) | 1.66861 | − | 7.15652i | 0.227069 | − | 0.973879i | ||||
\(55\) | −3.46078 | −0.466652 | ||||||||
\(56\) | 5.30205 | − | 9.57435i | 0.708517 | − | 1.27943i | ||||
\(57\) | −6.52503 | + | 3.84529i | −0.864262 | + | 0.509322i | ||||
\(58\) | −4.26241 | + | 4.31347i | −0.559682 | + | 0.566386i | ||||
\(59\) | 3.99549 | + | 1.07059i | 0.520169 | + | 0.139379i | 0.509345 | − | 0.860563i | \(-0.329888\pi\) |
0.0108242 | + | 0.999941i | \(0.496554\pi\) | |||||||
\(60\) | 1.71514 | + | 2.83275i | 0.221424 | + | 0.365706i | ||||
\(61\) | −6.33446 | + | 1.69731i | −0.811044 | + | 0.217319i | −0.640427 | − | 0.768019i | \(-0.721243\pi\) |
−0.170617 | + | 0.985337i | \(0.554576\pi\) | |||||||
\(62\) | 1.11846 | + | 0.636898i | 0.142045 | + | 0.0808861i | ||||
\(63\) | −9.94786 | + | 5.98268i | −1.25331 | + | 0.753747i | ||||
\(64\) | 7.99490 | − | 0.285702i | 0.999362 | − | 0.0357128i | ||||
\(65\) | 5.51765 | + | 3.18562i | 0.684381 | + | 0.395127i | ||||
\(66\) | 7.61287 | − | 4.54765i | 0.937079 | − | 0.559777i | ||||
\(67\) | 1.33594 | + | 0.357964i | 0.163211 | + | 0.0437322i | 0.339499 | − | 0.940606i | \(-0.389742\pi\) |
−0.176288 | + | 0.984339i | \(0.556409\pi\) | |||||||
\(68\) | −6.52686 | − | 3.66537i | −0.791498 | − | 0.444491i | ||||
\(69\) | −0.630643 | + | 0.175028i | −0.0759205 | + | 0.0210709i | ||||
\(70\) | 1.32382 | − | 5.06089i | 0.158227 | − | 0.604892i | ||||
\(71\) | − | 9.88796i | − | 1.17348i | −0.809774 | − | 0.586742i | \(-0.800410\pi\) | ||
0.809774 | − | 0.586742i | \(-0.199590\pi\) | |||||||
\(72\) | −7.49527 | − | 3.97756i | −0.883326 | − | 0.468760i | ||||
\(73\) | − | 6.65482i | − | 0.778888i | −0.921050 | − | 0.389444i | \(-0.872667\pi\) | ||
0.921050 | − | 0.389444i | \(-0.127333\pi\) | |||||||
\(74\) | −4.13105 | − | 1.08059i | −0.480225 | − | 0.125617i | ||||
\(75\) | −5.04897 | − | 4.95962i | −0.583004 | − | 0.572688i | ||||
\(76\) | 2.36391 | + | 8.41992i | 0.271159 | + | 0.965831i | ||||
\(77\) | −13.5309 | − | 3.62561i | −1.54199 | − | 0.413176i | ||||
\(78\) | −16.3236 | + | 0.242907i | −1.84828 | + | 0.0275038i | ||||
\(79\) | −2.18459 | − | 1.26127i | −0.245786 | − | 0.141904i | 0.372047 | − | 0.928214i | \(-0.378656\pi\) |
−0.617833 | + | 0.786309i | \(0.711989\pi\) | |||||||
\(80\) | 3.66891 | − | 1.07734i | 0.410196 | − | 0.120451i | ||||
\(81\) | 4.77537 | + | 7.62862i | 0.530596 | + | 0.847625i | ||||
\(82\) | −5.13467 | + | 9.01707i | −0.567030 | + | 0.995769i | ||||
\(83\) | −0.261050 | + | 0.0699481i | −0.0286539 | + | 0.00767780i | −0.273118 | − | 0.961981i | \(-0.588055\pi\) |
0.244464 | + | 0.969658i | \(0.421388\pi\) | |||||||
\(84\) | 3.73820 | + | 12.8723i | 0.407871 | + | 1.40448i | ||||
\(85\) | −3.45605 | − | 0.926045i | −0.374861 | − | 0.100444i | ||||
\(86\) | 2.57652 | + | 2.54603i | 0.277834 | + | 0.274545i | ||||
\(87\) | −0.0662949 | − | 7.42677i | −0.00710756 | − | 0.796233i | ||||
\(88\) | −2.82642 | − | 9.84177i | −0.301297 | − | 1.04914i | ||||
\(89\) | 5.86860 | 0.622070 | 0.311035 | − | 0.950398i | \(-0.399324\pi\) | ||||
0.311035 | + | 0.950398i | \(0.399324\pi\) | |||||||
\(90\) | −3.94145 | − | 0.956160i | −0.415465 | − | 0.100788i | ||||
\(91\) | 18.2356 | + | 18.2356i | 1.91161 | + | 1.91161i | ||||
\(92\) | 0.00899811 | + | 0.755676i | 0.000938117 | + | 0.0787847i | ||||
\(93\) | −1.51894 | + | 0.421566i | −0.157507 | + | 0.0437144i | ||||
\(94\) | −0.205449 | + | 0.00122314i | −0.0211905 | + | 0.000126157i | ||||
\(95\) | 2.09006 | + | 3.62010i | 0.214436 | + | 0.371414i | ||||
\(96\) | −6.65501 | + | 7.19103i | −0.679224 | + | 0.733931i | ||||
\(97\) | 5.07233 | − | 8.78553i | 0.515017 | − | 0.892035i | −0.484831 | − | 0.874608i | \(-0.661119\pi\) |
0.999848 | − | 0.0174277i | \(-0.00554769\pi\) | |||||||
\(98\) | 5.57917 | − | 9.79765i | 0.563581 | − | 0.989712i | ||||
\(99\) | −2.62324 | + | 10.5392i | −0.263646 | + | 1.05923i | ||||
\(100\) | −7.02827 | + | 4.17013i | −0.702827 | + | 0.417013i | ||||
\(101\) | 0.725673 | − | 0.194443i | 0.0722072 | − | 0.0193479i | −0.222535 | − | 0.974925i | \(-0.571433\pi\) |
0.294742 | + | 0.955577i | \(0.404766\pi\) | |||||||
\(102\) | 8.81932 | − | 2.50435i | 0.873243 | − | 0.247968i | ||||
\(103\) | 6.93904 | + | 12.0188i | 0.683724 | + | 1.18424i | 0.973836 | + | 0.227252i | \(0.0729741\pi\) |
−0.290112 | + | 0.956993i | \(0.593693\pi\) | |||||||
\(104\) | −4.55300 | + | 18.2928i | −0.446459 | + | 1.79376i | ||||
\(105\) | 3.25282 | + | 5.51968i | 0.317443 | + | 0.538665i | ||||
\(106\) | 2.87016 | − | 10.9725i | 0.278775 | − | 1.06574i | ||||
\(107\) | −1.56287 | + | 1.56287i | −0.151088 | + | 0.151088i | −0.778604 | − | 0.627516i | \(-0.784072\pi\) |
0.627516 | + | 0.778604i | \(0.284072\pi\) | |||||||
\(108\) | 9.92666 | − | 3.07595i | 0.955193 | − | 0.295983i | ||||
\(109\) | 6.71432 | + | 6.71432i | 0.643115 | + | 0.643115i | 0.951320 | − | 0.308205i | \(-0.0997283\pi\) |
−0.308205 | + | 0.951320i | \(0.599728\pi\) | |||||||
\(110\) | −2.47233 | − | 4.22393i | −0.235728 | − | 0.402736i | ||||
\(111\) | 4.50555 | − | 2.65518i | 0.427648 | − | 0.252019i | ||||
\(112\) | 15.4733 | − | 0.368545i | 1.46209 | − | 0.0348243i | ||||
\(113\) | −13.7148 | + | 7.91823i | −1.29018 | + | 0.744885i | −0.978686 | − | 0.205364i | \(-0.934162\pi\) |
−0.311492 | + | 0.950249i | \(0.600829\pi\) | |||||||
\(114\) | −9.35462 | − | 5.21687i | −0.876141 | − | 0.488605i | ||||
\(115\) | 0.0934909 | + | 0.348913i | 0.00871807 | + | 0.0325363i | ||||
\(116\) | −8.30965 | − | 2.12085i | −0.771532 | − | 0.196916i | ||||
\(117\) | 13.8835 | − | 14.3883i | 1.28353 | − | 1.33020i | ||||
\(118\) | 1.54765 | + | 5.64137i | 0.142473 | + | 0.519330i | ||||
\(119\) | −12.5423 | − | 7.24129i | −1.14975 | − | 0.663808i | ||||
\(120\) | −2.23213 | + | 4.11703i | −0.203765 | + | 0.375831i | ||||
\(121\) | −1.82398 | + | 1.05307i | −0.165816 | + | 0.0957339i | ||||
\(122\) | −6.59684 | − | 6.51876i | −0.597250 | − | 0.590180i | ||||
\(123\) | −3.39867 | − | 12.2457i | −0.306448 | − | 1.10416i | ||||
\(124\) | 0.0216725 | + | 1.82009i | 0.00194625 | + | 0.163449i | ||||
\(125\) | −6.14189 | + | 6.14189i | −0.549347 | + | 0.549347i | ||||
\(126\) | −14.4086 | − | 7.86755i | −1.28362 | − | 0.700897i | ||||
\(127\) | − | 10.4492i | − | 0.927219i | −0.886040 | − | 0.463609i | \(-0.846554\pi\) | ||
0.886040 | − | 0.463609i | \(-0.153446\pi\) | |||||||
\(128\) | 6.06014 | + | 9.55378i | 0.535646 | + | 0.844443i | ||||
\(129\) | −4.43616 | + | 0.0395993i | −0.390582 | + | 0.00348652i | ||||
\(130\) | 0.0536416 | + | 9.01013i | 0.00470468 | + | 0.790241i | ||||
\(131\) | 4.90101 | − | 18.2908i | 0.428203 | − | 1.59807i | −0.328625 | − | 0.944461i | \(-0.606585\pi\) |
0.756828 | − | 0.653614i | \(-0.226748\pi\) | |||||||
\(132\) | 10.9890 | + | 6.04284i | 0.956469 | + | 0.525961i | ||||
\(133\) | 4.37921 | + | 16.3434i | 0.379726 | + | 1.41716i | ||||
\(134\) | 0.517476 | + | 1.88626i | 0.0447031 | + | 0.162948i | ||||
\(135\) | 4.23375 | − | 2.59793i | 0.364383 | − | 0.223594i | ||||
\(136\) | −0.189063 | − | 10.5846i | −0.0162120 | − | 0.907623i | ||||
\(137\) | 7.93788 | − | 13.7488i | 0.678178 | − | 1.17464i | −0.297350 | − | 0.954768i | \(-0.596103\pi\) |
0.975529 | − | 0.219871i | \(-0.0705637\pi\) | |||||||
\(138\) | −0.664147 | − | 0.644670i | −0.0565359 | − | 0.0548780i | ||||
\(139\) | 4.40461 | − | 16.4382i | 0.373594 | − | 1.39427i | −0.481794 | − | 0.876285i | \(-0.660015\pi\) |
0.855388 | − | 0.517988i | \(-0.173319\pi\) | |||||||
\(140\) | 7.12260 | − | 1.99969i | 0.601970 | − | 0.169004i | ||||
\(141\) | 0.176332 | − | 0.179509i | 0.0148499 | − | 0.0151174i | ||||
\(142\) | 12.0684 | − | 7.06381i | 1.01276 | − | 0.592782i | ||||
\(143\) | 24.1282 | 2.01770 | ||||||||
\(144\) | −0.499848 | − | 11.9896i | −0.0416540 | − | 0.999132i | ||||
\(145\) | −4.09914 | −0.340415 | ||||||||
\(146\) | 8.12230 | − | 4.75411i | 0.672206 | − | 0.393453i | ||||
\(147\) | 3.69288 | + | 13.3058i | 0.304584 | + | 1.09744i | ||||
\(148\) | −1.63228 | − | 5.81397i | −0.134173 | − | 0.477905i | ||||
\(149\) | −1.75301 | + | 6.54234i | −0.143613 | + | 0.535969i | 0.856201 | + | 0.516643i | \(0.172819\pi\) |
−0.999813 | + | 0.0193260i | \(0.993848\pi\) | |||||||
\(150\) | 2.44638 | − | 9.70542i | 0.199746 | − | 0.792444i | ||||
\(151\) | −4.39506 | + | 7.61246i | −0.357665 | + | 0.619493i | −0.987570 | − | 0.157178i | \(-0.949760\pi\) |
0.629906 | + | 0.776672i | \(0.283094\pi\) | |||||||
\(152\) | −8.58788 | + | 8.90026i | −0.696569 | + | 0.721906i | ||||
\(153\) | −5.43975 | + | 9.82281i | −0.439777 | + | 0.794127i | ||||
\(154\) | −5.24121 | − | 19.1048i | −0.422349 | − | 1.53951i | ||||
\(155\) | 0.225179 | + | 0.840378i | 0.0180868 | + | 0.0675008i | ||||
\(156\) | −11.9578 | − | 19.7496i | −0.957389 | − | 1.58123i | ||||
\(157\) | 1.95778 | − | 7.30654i | 0.156248 | − | 0.583126i | −0.842747 | − | 0.538310i | \(-0.819063\pi\) |
0.998995 | − | 0.0448162i | \(-0.0142702\pi\) | |||||||
\(158\) | −0.0212382 | − | 3.56736i | −0.00168962 | − | 0.283804i | ||||
\(159\) | 7.05242 | + | 11.9672i | 0.559293 | + | 0.949058i | ||||
\(160\) | 3.93593 | + | 3.70831i | 0.311162 | + | 0.293168i | ||||
\(161\) | 1.46212i | 0.115231i | ||||||||
\(162\) | −5.89938 | + | 11.2782i | −0.463499 | + | 0.886097i | ||||
\(163\) | −3.88439 | + | 3.88439i | −0.304249 | + | 0.304249i | −0.842674 | − | 0.538425i | \(-0.819020\pi\) |
0.538425 | + | 0.842674i | \(0.319020\pi\) | |||||||
\(164\) | −14.6736 | + | 0.174724i | −1.14581 | + | 0.0136436i | ||||
\(165\) | 5.80362 | + | 1.49968i | 0.451811 | + | 0.116750i | ||||
\(166\) | −0.271863 | − | 0.268645i | −0.0211006 | − | 0.0208509i | ||||
\(167\) | 16.2578 | − | 9.38644i | 1.25807 | − | 0.726345i | 0.285367 | − | 0.958418i | \(-0.407884\pi\) |
0.972698 | + | 0.232074i | \(0.0745510\pi\) | |||||||
\(168\) | −13.0403 | + | 13.7583i | −1.00608 | + | 1.06148i | ||||
\(169\) | −27.2101 | − | 15.7098i | −2.09309 | − | 1.20844i | ||||
\(170\) | −1.33870 | − | 4.87970i | −0.102674 | − | 0.374256i | ||||
\(171\) | 12.6086 | − | 3.62090i | 0.964202 | − | 0.276897i | ||||
\(172\) | −1.26683 | + | 4.96352i | −0.0965947 | + | 0.378465i | ||||
\(173\) | −1.19743 | − | 4.46886i | −0.0910387 | − | 0.339761i | 0.905350 | − | 0.424665i | \(-0.139608\pi\) |
−0.996389 | + | 0.0849043i | \(0.972942\pi\) | |||||||
\(174\) | 9.01711 | − | 5.38649i | 0.683585 | − | 0.408349i | ||||
\(175\) | −13.6928 | + | 7.90554i | −1.03508 | + | 0.597603i | ||||
\(176\) | 9.99287 | − | 10.4805i | 0.753241 | − | 0.789998i | ||||
\(177\) | −6.23639 | − | 3.52674i | −0.468756 | − | 0.265086i | ||||
\(178\) | 4.19244 | + | 7.16270i | 0.314237 | + | 0.536867i | ||||
\(179\) | 16.7079 | + | 16.7079i | 1.24881 | + | 1.24881i | 0.956248 | + | 0.292557i | \(0.0945062\pi\) |
0.292557 | + | 0.956248i | \(0.405494\pi\) | |||||||
\(180\) | −1.64871 | − | 5.49366i | −0.122887 | − | 0.409473i | ||||
\(181\) | −3.87025 | + | 3.87025i | −0.287673 | + | 0.287673i | −0.836160 | − | 0.548486i | \(-0.815204\pi\) |
0.548486 | + | 0.836160i | \(0.315204\pi\) | |||||||
\(182\) | −9.22952 | + | 35.2840i | −0.684138 | + | 2.61542i | ||||
\(183\) | 11.3582 | − | 0.101389i | 0.839621 | − | 0.00749486i | ||||
\(184\) | −0.915885 | + | 0.550826i | −0.0675199 | + | 0.0406075i | ||||
\(185\) | −1.44319 | − | 2.49968i | −0.106106 | − | 0.183780i | ||||
\(186\) | −1.59964 | − | 1.55273i | −0.117291 | − | 0.113852i | ||||
\(187\) | −13.0882 | + | 3.50698i | −0.957105 | + | 0.256455i | ||||
\(188\) | −0.148263 | − | 0.249880i | −0.0108132 | − | 0.0182244i | ||||
\(189\) | 19.2747 | − | 5.72200i | 1.40203 | − | 0.416214i | ||||
\(190\) | −2.92527 | + | 5.13710i | −0.212221 | + | 0.372684i | ||||
\(191\) | 2.49854 | − | 4.32759i | 0.180788 | − | 0.313134i | −0.761361 | − | 0.648328i | \(-0.775469\pi\) |
0.942149 | + | 0.335194i | \(0.108802\pi\) | |||||||
\(192\) | −13.5310 | − | 2.98536i | −0.976515 | − | 0.215450i | ||||
\(193\) | 8.77894 | + | 15.2056i | 0.631922 | + | 1.09452i | 0.987158 | + | 0.159744i | \(0.0510670\pi\) |
−0.355237 | + | 0.934776i | \(0.615600\pi\) | |||||||
\(194\) | 14.3465 | − | 0.0854112i | 1.03002 | − | 0.00613217i | ||||
\(195\) | −7.87248 | − | 7.73318i | −0.563760 | − | 0.553784i | ||||
\(196\) | 15.9438 | − | 0.189849i | 1.13885 | − | 0.0135606i | ||||
\(197\) | −14.4859 | − | 14.4859i | −1.03208 | − | 1.03208i | −0.999468 | − | 0.0326073i | \(-0.989619\pi\) |
−0.0326073 | − | 0.999468i | \(-0.510381\pi\) | |||||||
\(198\) | −14.7372 | + | 4.32733i | −1.04733 | + | 0.307530i | ||||
\(199\) | −0.627801 | −0.0445037 | −0.0222518 | − | 0.999752i | \(-0.507084\pi\) | ||||
−0.0222518 | + | 0.999752i | \(0.507084\pi\) | |||||||
\(200\) | −10.1106 | − | 5.59902i | −0.714927 | − | 0.395910i | ||||
\(201\) | −2.08521 | − | 1.17920i | −0.147079 | − | 0.0831746i | ||||
\(202\) | 0.755731 | + | 0.746786i | 0.0531731 | + | 0.0525437i | ||||
\(203\) | −16.0268 | − | 4.29437i | −1.12486 | − | 0.301406i | ||||
\(204\) | 9.35699 | + | 8.97503i | 0.655121 | + | 0.628378i | ||||
\(205\) | −6.77513 | + | 1.81539i | −0.473196 | + | 0.126792i | ||||
\(206\) | −9.71192 | + | 17.0552i | −0.676662 | + | 1.18829i | ||||
\(207\) | 1.13341 | − | 0.0202364i | 0.0787777 | − | 0.00140653i | ||||
\(208\) | −25.5792 | + | 7.51111i | −1.77360 | + | 0.520802i | ||||
\(209\) | 13.7095 | + | 7.91517i | 0.948305 | + | 0.547504i | ||||
\(210\) | −4.41307 | + | 7.91329i | −0.304531 | + | 0.546069i | ||||
\(211\) | 3.81624 | + | 1.02256i | 0.262721 | + | 0.0703959i | 0.387775 | − | 0.921754i | \(-0.373244\pi\) |
−0.125054 | + | 0.992150i | \(0.539910\pi\) | |||||||
\(212\) | 15.4425 | − | 4.33551i | 1.06059 | − | 0.297764i | ||||
\(213\) | −4.28481 | + | 16.5818i | −0.293590 | + | 1.13616i | ||||
\(214\) | −3.02399 | − | 0.791010i | −0.206715 | − | 0.0540723i | ||||
\(215\) | 2.44850i | 0.166986i | ||||||||
\(216\) | 10.8457 | + | 9.91821i | 0.737956 | + | 0.674848i | ||||
\(217\) | 3.52161i | 0.239062i | ||||||||
\(218\) | −3.39830 | + | 12.9915i | −0.230162 | + | 0.879897i | ||||
\(219\) | −2.88377 | + | 11.1599i | −0.194867 | + | 0.754117i | ||||
\(220\) | 3.38917 | − | 6.03503i | 0.228498 | − | 0.406882i | ||||
\(221\) | 24.0952 | + | 6.45628i | 1.62082 | + | 0.434296i | ||||
\(222\) | 6.45938 | + | 3.60226i | 0.433525 | + | 0.241768i | ||||
\(223\) | −1.71289 | − | 0.988940i | −0.114704 | − | 0.0662243i | 0.441550 | − | 0.897236i | \(-0.354429\pi\) |
−0.556254 | + | 0.831012i | \(0.687762\pi\) | |||||||
\(224\) | 11.5037 | + | 18.6221i | 0.768626 | + | 1.24424i | ||||
\(225\) | 6.31777 | + | 10.5050i | 0.421184 | + | 0.700335i | ||||
\(226\) | −19.4619 | − | 11.0824i | −1.29459 | − | 0.737190i | ||||
\(227\) | −28.7220 | + | 7.69603i | −1.90634 | + | 0.510803i | −0.911252 | + | 0.411848i | \(0.864883\pi\) |
−0.995092 | + | 0.0989551i | \(0.968450\pi\) | |||||||
\(228\) | −0.315548 | − | 15.1443i | −0.0208976 | − | 1.00296i | ||||
\(229\) | −14.2508 | − | 3.81849i | −0.941720 | − | 0.252333i | −0.244875 | − | 0.969555i | \(-0.578747\pi\) |
−0.696845 | + | 0.717222i | \(0.745414\pi\) | |||||||
\(230\) | −0.359064 | + | 0.363365i | −0.0236760 | + | 0.0239596i | ||||
\(231\) | 21.1199 | + | 11.9435i | 1.38958 | + | 0.785823i | ||||
\(232\) | −3.34777 | − | 11.6571i | −0.219792 | − | 0.765329i | ||||
\(233\) | −11.5384 | −0.755904 | −0.377952 | − | 0.925825i | \(-0.623372\pi\) | ||||
−0.377952 | + | 0.925825i | \(0.623372\pi\) | |||||||
\(234\) | 27.4793 | + | 6.66624i | 1.79638 | + | 0.435786i | ||||
\(235\) | −0.0982018 | − | 0.0982018i | −0.00640598 | − | 0.00640598i | ||||
\(236\) | −5.77974 | + | 5.91904i | −0.376229 | + | 0.385297i | ||||
\(237\) | 3.11693 | + | 3.06178i | 0.202466 | + | 0.198884i | ||||
\(238\) | −0.121934 | − | 20.4811i | −0.00790378 | − | 1.32759i | ||||
\(239\) | −8.60624 | − | 14.9065i | −0.556692 | − | 0.964218i | −0.997770 | − | 0.0667495i | \(-0.978737\pi\) |
0.441078 | − | 0.897469i | \(-0.354596\pi\) | |||||||
\(240\) | −6.61949 | + | 0.216799i | −0.427286 | + | 0.0139943i | ||||
\(241\) | 4.64695 | − | 8.04875i | 0.299336 | − | 0.518466i | −0.676648 | − | 0.736307i | \(-0.736568\pi\) |
0.975984 | + | 0.217841i | \(0.0699014\pi\) | |||||||
\(242\) | −2.58831 | − | 1.47389i | −0.166383 | − | 0.0947451i | ||||
\(243\) | −4.70237 | − | 14.8623i | −0.301657 | − | 0.953416i | ||||
\(244\) | 3.24354 | − | 12.7084i | 0.207647 | − | 0.813574i | ||||
\(245\) | 7.36163 | − | 1.97254i | 0.470317 | − | 0.126021i | ||||
\(246\) | 12.5181 | − | 12.8963i | 0.798125 | − | 0.822237i | ||||
\(247\) | −14.5717 | − | 25.2389i | −0.927175 | − | 1.60591i | ||||
\(248\) | −2.20596 | + | 1.32670i | −0.140079 | + | 0.0842455i | ||||
\(249\) | 0.468083 | − | 0.00417833i | 0.0296636 | − | 0.000264791i | ||||
\(250\) | −11.8839 | − | 3.10858i | −0.751606 | − | 0.196604i | ||||
\(251\) | −20.7722 | + | 20.7722i | −1.31113 | + | 1.31113i | −0.390545 | + | 0.920584i | \(0.627714\pi\) |
−0.920584 | + | 0.390545i | \(0.872286\pi\) | |||||||
\(252\) | −0.690807 | − | 23.2063i | −0.0435167 | − | 1.46186i | ||||
\(253\) | 0.967295 | + | 0.967295i | 0.0608133 | + | 0.0608133i | ||||
\(254\) | 12.7534 | − | 7.46478i | 0.800221 | − | 0.468382i | ||||
\(255\) | 5.39439 | + | 3.05058i | 0.337810 | + | 0.191035i | ||||
\(256\) | −7.33124 | + | 14.2216i | −0.458202 | + | 0.888848i | ||||
\(257\) | −1.51801 | + | 0.876421i | −0.0946906 | + | 0.0546697i | −0.546598 | − | 0.837395i | \(-0.684077\pi\) |
0.451907 | + | 0.892065i | \(0.350744\pi\) | |||||||
\(258\) | −3.21746 | − | 5.38610i | −0.200310 | − | 0.335324i | ||||
\(259\) | −3.02385 | − | 11.2852i | −0.187893 | − | 0.701227i | ||||
\(260\) | −10.9587 | + | 6.50218i | −0.679628 | + | 0.403248i | ||||
\(261\) | −3.10711 | + | 12.4832i | −0.192325 | + | 0.772689i | ||||
\(262\) | 25.8254 | − | 7.08494i | 1.59550 | − | 0.437709i | ||||
\(263\) | 0.172109 | + | 0.0993674i | 0.0106127 | + | 0.00612726i | 0.505297 | − | 0.862946i | \(-0.331383\pi\) |
−0.494684 | + | 0.869073i | \(0.664716\pi\) | |||||||
\(264\) | 0.475014 | + | 17.7291i | 0.0292351 | + | 1.09115i | ||||
\(265\) | 6.63940 | − | 3.83326i | 0.407855 | − | 0.235475i | ||||
\(266\) | −16.8189 | + | 17.0204i | −1.03124 | + | 1.04359i | ||||
\(267\) | −9.84144 | − | 2.54307i | −0.602287 | − | 0.155634i | ||||
\(268\) | −1.93252 | + | 1.97910i | −0.118048 | + | 0.120893i | ||||
\(269\) | 16.7454 | − | 16.7454i | 1.02098 | − | 1.02098i | 0.0212085 | − | 0.999775i | \(-0.493249\pi\) |
0.999775 | − | 0.0212085i | \(-0.00675138\pi\) | |||||||
\(270\) | 6.19534 | + | 3.31142i | 0.377036 | + | 0.201527i | ||||
\(271\) | − | 16.8714i | − | 1.02487i | −0.858727 | − | 0.512433i | \(-0.828744\pi\) | ||
0.858727 | − | 0.512433i | \(-0.171256\pi\) | |||||||
\(272\) | 12.7836 | − | 7.79224i | 0.775119 | − | 0.472474i | ||||
\(273\) | −22.6783 | − | 38.4826i | −1.37255 | − | 2.32907i | ||||
\(274\) | 22.4513 | − | 0.133663i | 1.35633 | − | 0.00807489i | ||||
\(275\) | −3.82867 | + | 14.2888i | −0.230878 | + | 0.861647i | ||||
\(276\) | 0.312372 | − | 1.27114i | 0.0188026 | − | 0.0765138i | ||||
\(277\) | 7.58262 | + | 28.2987i | 0.455595 | + | 1.70031i | 0.686331 | + | 0.727289i | \(0.259220\pi\) |
−0.230736 | + | 0.973016i | \(0.574113\pi\) | |||||||
\(278\) | 23.2097 | − | 6.36735i | 1.39202 | − | 0.381888i | ||||
\(279\) | 2.72990 | − | 0.0487406i | 0.163435 | − | 0.00291802i | ||||
\(280\) | 7.52893 | + | 7.26469i | 0.449940 | + | 0.434148i | ||||
\(281\) | 3.41297 | − | 5.91144i | 0.203601 | − | 0.352647i | −0.746085 | − | 0.665851i | \(-0.768069\pi\) |
0.949686 | + | 0.313203i | \(0.101402\pi\) | |||||||
\(282\) | 0.345062 | + | 0.0869775i | 0.0205481 | + | 0.00517944i | ||||
\(283\) | −2.54482 | + | 9.49738i | −0.151274 | + | 0.564561i | 0.848122 | + | 0.529801i | \(0.177733\pi\) |
−0.999396 | + | 0.0347600i | \(0.988933\pi\) | |||||||
\(284\) | 17.2430 | + | 9.68334i | 1.02318 | + | 0.574600i | ||||
\(285\) | −1.93625 | − | 6.97649i | −0.114694 | − | 0.413251i | ||||
\(286\) | 17.2368 | + | 29.4488i | 1.01923 | + | 1.74134i | ||||
\(287\) | −28.3912 | −1.67588 | ||||||||
\(288\) | 14.2764 | − | 9.17526i | 0.841243 | − | 0.540657i | ||||
\(289\) | 2.99129 | 0.175959 | ||||||||
\(290\) | −2.92837 | − | 5.00306i | −0.171960 | − | 0.293790i | ||||
\(291\) | −12.3132 | + | 12.5350i | −0.721814 | + | 0.734816i | ||||
\(292\) | 11.6049 | + | 6.51711i | 0.679126 | + | 0.381385i | ||||
\(293\) | 0.497626 | − | 1.85716i | 0.0290716 | − | 0.108497i | −0.949865 | − | 0.312659i | \(-0.898780\pi\) |
0.978937 | + | 0.204162i | \(0.0654470\pi\) | |||||||
\(294\) | −13.6018 | + | 14.0127i | −0.793271 | + | 0.817236i | ||||
\(295\) | −1.97712 | + | 3.42448i | −0.115112 | + | 0.199381i | ||||
\(296\) | 5.92995 | − | 6.14564i | 0.344671 | − | 0.357208i | ||||
\(297\) | 8.96609 | − | 16.5371i | 0.520265 | − | 0.959579i | ||||
\(298\) | −9.23734 | + | 2.53418i | −0.535105 | + | 0.146801i | ||||
\(299\) | −0.651808 | − | 2.43258i | −0.0376950 | − | 0.140680i | ||||
\(300\) | 13.5933 | − | 3.94757i | 0.784807 | − | 0.227913i | ||||
\(301\) | −2.56512 | + | 9.57314i | −0.147851 | + | 0.551787i | ||||
\(302\) | −12.4309 | + | 0.0740068i | −0.715316 | + | 0.00425861i | ||||
\(303\) | −1.30119 | + | 0.0116150i | −0.0747514 | + | 0.000667267i | ||||
\(304\) | −16.9979 | − | 4.12341i | −0.974899 | − | 0.236494i | ||||
\(305\) | − | 6.26906i | − | 0.358965i | ||||||
\(306\) | −15.8749 | + | 0.377989i | −0.907510 | + | 0.0216082i | ||||
\(307\) | −9.86559 | + | 9.86559i | −0.563059 | + | 0.563059i | −0.930175 | − | 0.367116i | \(-0.880345\pi\) |
0.367116 | + | 0.930175i | \(0.380345\pi\) | |||||||
\(308\) | 19.5734 | − | 20.0452i | 1.11530 | − | 1.14218i | ||||
\(309\) | −6.42838 | − | 23.1620i | −0.365698 | − | 1.31764i | ||||
\(310\) | −0.864828 | + | 0.875187i | −0.0491189 | + | 0.0497073i | ||||
\(311\) | 3.17139 | − | 1.83100i | 0.179833 | − | 0.103827i | −0.407381 | − | 0.913258i | \(-0.633558\pi\) |
0.587214 | + | 0.809432i | \(0.300225\pi\) | |||||||
\(312\) | 15.5622 | − | 28.7035i | 0.881034 | − | 1.62501i | ||||
\(313\) | −1.08050 | − | 0.623827i | −0.0610735 | − | 0.0352608i | 0.469152 | − | 0.883117i | \(-0.344560\pi\) |
−0.530226 | + | 0.847856i | \(0.677893\pi\) | |||||||
\(314\) | 10.3163 | − | 2.83019i | 0.582185 | − | 0.159717i | ||||
\(315\) | −3.06300 | − | 10.6659i | −0.172581 | − | 0.600954i | ||||
\(316\) | 4.33884 | − | 2.57439i | 0.244079 | − | 0.144821i | ||||
\(317\) | −0.407988 | − | 1.52263i | −0.0229149 | − | 0.0855195i | 0.953521 | − | 0.301325i | \(-0.0974289\pi\) |
−0.976436 | + | 0.215806i | \(0.930762\pi\) | |||||||
\(318\) | −9.56794 | + | 17.1567i | −0.536544 | + | 0.962102i | ||||
\(319\) | −13.4439 | + | 7.76183i | −0.752713 | + | 0.434579i | ||||
\(320\) | −1.71428 | + | 7.45302i | −0.0958310 | + | 0.416636i | ||||
\(321\) | 3.29812 | − | 1.94363i | 0.184083 | − | 0.108483i | ||||
\(322\) | −1.78454 | + | 1.04452i | −0.0994484 | + | 0.0582087i | ||||
\(323\) | 11.5728 | + | 11.5728i | 0.643925 | + | 0.643925i | ||||
\(324\) | −17.9796 | + | 0.856688i | −0.998867 | + | 0.0475938i | ||||
\(325\) | 19.2569 | − | 19.2569i | 1.06818 | − | 1.06818i | ||||
\(326\) | −7.51590 | − | 1.96600i | −0.416267 | − | 0.108886i | ||||
\(327\) | −8.35013 | − | 14.1692i | −0.461763 | − | 0.783561i | ||||
\(328\) | −10.6959 | − | 17.7845i | −0.590580 | − | 0.981984i | ||||
\(329\) | −0.281070 | − | 0.486828i | −0.0154959 | − | 0.0268397i | ||||
\(330\) | 2.31564 | + | 8.15475i | 0.127472 | + | 0.448904i | ||||
\(331\) | 9.11372 | − | 2.44201i | 0.500935 | − | 0.134225i | 0.000501334 | − | 1.00000i | \(-0.499840\pi\) |
0.500434 | + | 0.865775i | \(0.333174\pi\) | |||||||
\(332\) | 0.133670 | − | 0.523728i | 0.00733609 | − | 0.0287433i | ||||
\(333\) | −8.70624 | + | 2.50024i | −0.477099 | + | 0.137012i | ||||
\(334\) | 23.0706 | + | 13.1373i | 1.26237 | + | 0.718842i | ||||
\(335\) | −0.661073 | + | 1.14501i | −0.0361183 | + | 0.0625587i | ||||
\(336\) | −26.1080 | − | 6.08711i | −1.42431 | − | 0.332079i | ||||
\(337\) | 6.84951 | + | 11.8637i | 0.373117 | + | 0.646257i | 0.990043 | − | 0.140764i | \(-0.0449558\pi\) |
−0.616927 | + | 0.787021i | \(0.711622\pi\) | |||||||
\(338\) | −0.264532 | − | 44.4332i | −0.0143886 | − | 2.41685i | ||||
\(339\) | 26.4305 | − | 7.33551i | 1.43551 | − | 0.398410i | ||||
\(340\) | 4.99940 | − | 5.11989i | 0.271130 | − | 0.277665i | ||||
\(341\) | 2.32979 | + | 2.32979i | 0.126165 | + | 0.126165i | ||||
\(342\) | 13.4267 | + | 12.8022i | 0.726035 | + | 0.692265i | ||||
\(343\) | 3.76296 | 0.203181 | ||||||||
\(344\) | −6.96305 | + | 1.99969i | −0.375423 | + | 0.107816i | ||||
\(345\) | −0.00558466 | − | 0.625628i | −0.000300668 | − | 0.0336827i | ||||
\(346\) | 4.59888 | − | 4.65396i | 0.247237 | − | 0.250199i | ||||
\(347\) | 4.97851 | + | 1.33399i | 0.267260 | + | 0.0716122i | 0.389960 | − | 0.920832i | \(-0.372489\pi\) |
−0.122700 | + | 0.992444i | \(0.539155\pi\) | |||||||
\(348\) | 13.0160 | + | 7.15747i | 0.697729 | + | 0.383681i | ||||
\(349\) | 22.5875 | − | 6.05230i | 1.20908 | − | 0.323972i | 0.402679 | − | 0.915341i | \(-0.368079\pi\) |
0.806401 | + | 0.591369i | \(0.201412\pi\) | |||||||
\(350\) | −19.4308 | − | 11.0646i | −1.03862 | − | 0.591430i | ||||
\(351\) | −29.5172 | + | 18.1125i | −1.57551 | + | 0.966773i | ||||
\(352\) | 19.9304 | + | 4.70931i | 1.06229 | + | 0.251007i | ||||
\(353\) | −25.4729 | − | 14.7068i | −1.35578 | − | 0.782762i | −0.366732 | − | 0.930327i | \(-0.619523\pi\) |
−0.989052 | + | 0.147564i | \(0.952857\pi\) | |||||||
\(354\) | −0.150757 | − | 10.1310i | −0.00801267 | − | 0.538459i | ||||
\(355\) | 9.13034 | + | 2.44647i | 0.484588 | + | 0.129845i | ||||
\(356\) | −5.74715 | + | 10.2339i | −0.304599 | + | 0.542393i | ||||
\(357\) | 17.8951 | + | 17.5784i | 0.947108 | + | 0.930349i | ||||
\(358\) | −8.45632 | + | 32.3281i | −0.446931 | + | 1.70859i | ||||
\(359\) | 21.1351i | 1.11547i | 0.830020 | + | 0.557734i | \(0.188329\pi\) | ||||
−0.830020 | + | 0.557734i | \(0.811671\pi\) | |||||||
\(360\) | 5.52727 | − | 5.93686i | 0.291313 | − | 0.312900i | ||||
\(361\) | − | 0.120784i | − | 0.00635708i | ||||||
\(362\) | −7.48854 | − | 1.95884i | −0.393589 | − | 0.102954i | ||||
\(363\) | 3.51508 | − | 0.975575i | 0.184494 | − | 0.0512044i | ||||
\(364\) | −49.6580 | + | 13.9416i | −2.60279 | + | 0.730738i | ||||
\(365\) | 6.14493 | + | 1.64653i | 0.321640 | + | 0.0861833i | ||||
\(366\) | 8.23787 | + | 13.7904i | 0.430600 | + | 0.720835i | ||||
\(367\) | 19.9277 | + | 11.5053i | 1.04022 | + | 0.600569i | 0.919895 | − | 0.392166i | \(-0.128274\pi\) |
0.120322 | + | 0.992735i | \(0.461607\pi\) | |||||||
\(368\) | −1.32659 | − | 0.724347i | −0.0691531 | − | 0.0377592i | ||||
\(369\) | 0.392947 | + | 22.0084i | 0.0204560 | + | 1.14571i | ||||
\(370\) | 2.01990 | − | 3.54717i | 0.105010 | − | 0.184409i | ||||
\(371\) | 29.9745 | − | 8.03165i | 1.55620 | − | 0.416982i | ||||
\(372\) | 0.752368 | − | 3.06163i | 0.0390084 | − | 0.158738i | ||||
\(373\) | 9.82636 | + | 2.63297i | 0.508790 | + | 0.136330i | 0.504076 | − | 0.863659i | \(-0.331833\pi\) |
0.00471336 | + | 0.999989i | \(0.498500\pi\) | |||||||
\(374\) | −13.6303 | − | 13.4690i | −0.704808 | − | 0.696466i | ||||
\(375\) | 12.9612 | − | 7.63824i | 0.669316 | − | 0.394437i | ||||
\(376\) | 0.199065 | − | 0.359468i | 0.0102660 | − | 0.0185381i | ||||
\(377\) | 28.5788 | 1.47188 | ||||||||
\(378\) | 20.7534 | + | 19.4374i | 1.06744 | + | 0.999751i | ||||
\(379\) | −15.2258 | − | 15.2258i | −0.782098 | − | 0.782098i | 0.198086 | − | 0.980185i | \(-0.436527\pi\) |
−0.980185 | + | 0.198086i | \(0.936527\pi\) | |||||||
\(380\) | −8.35966 | + | 0.0995415i | −0.428842 | + | 0.00510637i | ||||
\(381\) | −4.52803 | + | 17.5230i | −0.231978 | + | 0.897731i | ||||
\(382\) | 7.06680 | − | 0.0420720i | 0.361569 | − | 0.00215259i | ||||
\(383\) | 4.43034 | + | 7.67358i | 0.226380 | + | 0.392102i | 0.956733 | − | 0.290969i | \(-0.0939776\pi\) |
−0.730353 | + | 0.683070i | \(0.760644\pi\) | |||||||
\(384\) | −6.02266 | − | 18.6475i | −0.307343 | − | 0.951599i | ||||
\(385\) | 6.69563 | − | 11.5972i | 0.341241 | − | 0.591046i | ||||
\(386\) | −12.2871 | + | 21.5775i | −0.625395 | + | 1.09826i | ||||
\(387\) | 7.45645 | + | 1.85594i | 0.379033 | + | 0.0943428i | ||||
\(388\) | 10.3531 | + | 17.4490i | 0.525601 | + | 0.885840i | ||||
\(389\) | −29.6607 | + | 7.94756i | −1.50386 | + | 0.402957i | −0.914390 | − | 0.404835i | \(-0.867329\pi\) |
−0.589467 | + | 0.807792i | \(0.700662\pi\) | |||||||
\(390\) | 3.81446 | − | 15.1329i | 0.193153 | − | 0.766286i | ||||
\(391\) | 0.707140 | + | 1.22480i | 0.0357616 | + | 0.0619409i | ||||
\(392\) | 11.6218 | + | 19.3240i | 0.586988 | + | 0.976012i | ||||
\(393\) | −16.1449 | + | 28.5493i | −0.814402 | + | 1.44012i | ||||
\(394\) | 7.33170 | − | 28.0287i | 0.369366 | − | 1.41207i | ||||
\(395\) | 1.70514 | − | 1.70514i | 0.0857951 | − | 0.0857951i | ||||
\(396\) | −15.8096 | − | 14.8956i | −0.794462 | − | 0.748530i | ||||
\(397\) | 13.1585 | + | 13.1585i | 0.660408 | + | 0.660408i | 0.955476 | − | 0.295068i | \(-0.0953425\pi\) |
−0.295068 | + | 0.955476i | \(0.595342\pi\) | |||||||
\(398\) | −0.448492 | − | 0.766240i | −0.0224809 | − | 0.0384082i | ||||
\(399\) | −0.261591 | − | 29.3051i | −0.0130959 | − | 1.46709i | ||||
\(400\) | −0.389187 | − | 16.3400i | −0.0194594 | − | 0.816999i | ||||
\(401\) | 30.5262 | − | 17.6243i | 1.52440 | − | 0.880115i | 0.524822 | − | 0.851212i | \(-0.324132\pi\) |
0.999582 | − | 0.0289028i | \(-0.00920133\pi\) | |||||||
\(402\) | −0.0504075 | − | 3.38743i | −0.00251410 | − | 0.168950i | ||||
\(403\) | −1.56992 | − | 5.85902i | −0.0782033 | − | 0.291859i | ||||
\(404\) | −0.371579 | + | 1.45587i | −0.0184867 | + | 0.0724324i | ||||
\(405\) | −8.22563 | + | 2.52201i | −0.408735 | + | 0.125320i | ||||
\(406\) | −6.20798 | − | 22.6288i | −0.308097 | − | 1.12305i | ||||
\(407\) | −9.46642 | − | 5.46544i | −0.469233 | − | 0.270912i | ||||
\(408\) | −4.26964 | + | 17.8320i | −0.211379 | + | 0.882814i | ||||
\(409\) | −1.13193 | + | 0.653522i | −0.0559705 | + | 0.0323146i | −0.527724 | − | 0.849416i | \(-0.676955\pi\) |
0.471754 | + | 0.881730i | \(0.343621\pi\) | |||||||
\(410\) | −7.05577 | − | 6.97225i | −0.348459 | − | 0.344335i | ||||
\(411\) | −19.2694 | + | 19.6165i | −0.950490 | + | 0.967612i | ||||
\(412\) | −27.7542 | + | 0.330479i | −1.36735 | + | 0.0162815i | ||||
\(413\) | −11.3177 | + | 11.3177i | −0.556908 | + | 0.556908i | ||||
\(414\) | 0.834393 | + | 1.36889i | 0.0410082 | + | 0.0672773i | ||||
\(415\) | − | 0.258355i | − | 0.0126821i | ||||||
\(416\) | −27.4408 | − | 25.8539i | −1.34540 | − | 1.26759i | ||||
\(417\) | −14.5097 | + | 25.6577i | −0.710541 | + | 1.25646i | ||||
\(418\) | 0.133281 | + | 22.3871i | 0.00651898 | + | 1.09499i | ||||
\(419\) | −1.26804 | + | 4.73240i | −0.0619480 | + | 0.231193i | −0.989958 | − | 0.141362i | \(-0.954852\pi\) |
0.928010 | + | 0.372555i | \(0.121518\pi\) | |||||||
\(420\) | −12.8109 | + | 0.266929i | −0.625109 | + | 0.0130248i | ||||
\(421\) | −3.68148 | − | 13.7395i | −0.179425 | − | 0.669621i | −0.995756 | − | 0.0920372i | \(-0.970662\pi\) |
0.816331 | − | 0.577584i | \(-0.196005\pi\) | |||||||
\(422\) | 1.47822 | + | 5.38828i | 0.0719587 | + | 0.262297i | ||||
\(423\) | −0.373491 | + | 0.224619i | −0.0181598 | + | 0.0109214i | ||||
\(424\) | 16.3234 | + | 15.7505i | 0.792735 | + | 0.764912i | ||||
\(425\) | −7.64687 | + | 13.2448i | −0.370928 | + | 0.642465i | ||||
\(426\) | −23.2993 | + | 6.61612i | −1.12885 | + | 0.320552i | ||||
\(427\) | 6.56763 | − | 24.5107i | 0.317830 | − | 1.18616i | ||||
\(428\) | −1.19485 | − | 4.25590i | −0.0577555 | − | 0.205717i | ||||
\(429\) | −40.4622 | − | 10.4556i | −1.95353 | − | 0.504802i | ||||
\(430\) | −2.98843 | + | 1.74917i | −0.144115 | + | 0.0843527i | ||||
\(431\) | 28.6229 | 1.37871 | 0.689357 | − | 0.724422i | \(-0.257893\pi\) | ||||
0.689357 | + | 0.724422i | \(0.257893\pi\) | |||||||
\(432\) | −4.35729 | + | 20.3227i | −0.209640 | + | 0.977779i | ||||
\(433\) | −15.4438 | −0.742181 | −0.371091 | − | 0.928597i | \(-0.621016\pi\) | ||||
−0.371091 | + | 0.928597i | \(0.621016\pi\) | |||||||
\(434\) | −4.29817 | + | 2.51579i | −0.206319 | + | 0.120762i | ||||
\(435\) | 6.87413 | + | 1.77631i | 0.329589 | + | 0.0851674i | ||||
\(436\) | −18.2840 | + | 5.13328i | −0.875646 | + | 0.245840i | ||||
\(437\) | 0.427647 | − | 1.59600i | 0.0204571 | − | 0.0763471i | ||||
\(438\) | −15.6810 | + | 4.45280i | −0.749265 | + | 0.212763i | ||||
\(439\) | 7.33448 | − | 12.7037i | 0.350056 | − | 0.606314i | −0.636203 | − | 0.771522i | \(-0.719496\pi\) |
0.986259 | + | 0.165207i | \(0.0528293\pi\) | |||||||
\(440\) | 9.78701 | − | 0.174817i | 0.466577 | − | 0.00833405i | ||||
\(441\) | −0.426963 | − | 23.9136i | −0.0203316 | − | 1.13874i | ||||
\(442\) | 9.33326 | + | 34.0207i | 0.443938 | + | 1.61820i | ||||
\(443\) | 3.92938 | + | 14.6646i | 0.186690 | + | 0.696738i | 0.994262 | + | 0.106969i | \(0.0341145\pi\) |
−0.807572 | + | 0.589769i | \(0.799219\pi\) | |||||||
\(444\) | 0.217886 | + | 10.4572i | 0.0103404 | + | 0.496275i | ||||
\(445\) | −1.45200 | + | 5.41894i | −0.0688315 | + | 0.256883i | ||||
\(446\) | −0.0166524 | − | 2.79709i | −0.000788515 | − | 0.132446i | ||||
\(447\) | 5.77478 | − | 10.2116i | 0.273138 | − | 0.482994i | ||||
\(448\) | −14.5104 | + | 27.3438i | −0.685554 | + | 1.29188i | ||||
\(449\) | − | 24.2954i | − | 1.14657i | −0.819356 | − | 0.573285i | \(-0.805669\pi\) | ||
0.819356 | − | 0.573285i | \(-0.194331\pi\) | |||||||
\(450\) | −8.30821 | + | 15.2156i | −0.391653 | + | 0.717268i | ||||
\(451\) | −18.7828 | + | 18.7828i | −0.884446 | + | 0.884446i | ||||
\(452\) | −0.377114 | − | 31.6707i | −0.0177380 | − | 1.48966i | ||||
\(453\) | 10.6691 | − | 10.8613i | 0.501279 | − | 0.510309i | ||||
\(454\) | −29.9117 | − | 29.5576i | −1.40382 | − | 1.38721i | ||||
\(455\) | −21.3502 | + | 12.3265i | −1.00091 | + | 0.577877i | ||||
\(456\) | 18.2584 | − | 11.2040i | 0.855028 | − | 0.524675i | ||||
\(457\) | 28.9197 | + | 16.6968i | 1.35281 | + | 0.781043i | 0.988642 | − | 0.150292i | \(-0.0480213\pi\) |
0.364164 | + | 0.931335i | \(0.381355\pi\) | |||||||
\(458\) | −5.52005 | − | 20.1212i | −0.257935 | − | 0.940201i | ||||
\(459\) | 13.3789 | − | 14.1153i | 0.624471 | − | 0.658845i | ||||
\(460\) | −0.700002 | − | 0.178660i | −0.0326378 | − | 0.00833006i | ||||
\(461\) | 1.92845 | + | 7.19708i | 0.0898170 | + | 0.335201i | 0.996183 | − | 0.0872924i | \(-0.0278215\pi\) |
−0.906366 | + | 0.422494i | \(0.861155\pi\) | |||||||
\(462\) | 0.510548 | + | 34.3093i | 0.0237528 | + | 1.59621i | ||||
\(463\) | 25.3264 | − | 14.6222i | 1.17702 | − | 0.679550i | 0.221693 | − | 0.975116i | \(-0.428842\pi\) |
0.955322 | + | 0.295566i | \(0.0955083\pi\) | |||||||
\(464\) | 11.8361 | − | 12.4137i | 0.549478 | − | 0.576291i | ||||
\(465\) | −0.0134510 | − | 1.50686i | −0.000623775 | − | 0.0698792i | ||||
\(466\) | −8.24285 | − | 14.0827i | −0.381843 | − | 0.652371i | ||||
\(467\) | −26.1748 | − | 26.1748i | −1.21123 | − | 1.21123i | −0.970623 | − | 0.240604i | \(-0.922654\pi\) |
−0.240604 | − | 0.970623i | \(-0.577346\pi\) | |||||||
\(468\) | 11.4946 | + | 38.3012i | 0.531338 | + | 1.77047i | ||||
\(469\) | −3.78421 | + | 3.78421i | −0.174738 | + | 0.174738i | ||||
\(470\) | 0.0497027 | − | 0.190011i | 0.00229261 | − | 0.00876453i | ||||
\(471\) | −6.44933 | + | 11.4045i | −0.297169 | + | 0.525490i | ||||
\(472\) | −11.3532 | − | 2.82577i | −0.522575 | − | 0.130067i | ||||
\(473\) | 4.63630 | + | 8.03030i | 0.213177 | + | 0.369234i | ||||
\(474\) | −1.51025 | + | 5.99154i | −0.0693680 | + | 0.275201i | ||||
\(475\) | 17.2588 | − | 4.62449i | 0.791889 | − | 0.212186i | ||||
\(476\) | 24.9103 | − | 14.7802i | 1.14176 | − | 0.677450i | ||||
\(477\) | −6.64087 | − | 23.1246i | −0.304064 | − | 1.05880i | ||||
\(478\) | 12.0453 | − | 21.1530i | 0.550941 | − | 0.967515i | ||||
\(479\) | −11.3632 | + | 19.6817i | −0.519199 | + | 0.899279i | 0.480552 | + | 0.876966i | \(0.340436\pi\) |
−0.999751 | + | 0.0223127i | \(0.992897\pi\) | |||||||
\(480\) | −4.99347 | − | 7.92430i | −0.227920 | − | 0.361693i | ||||
\(481\) | 10.0618 | + | 17.4275i | 0.458777 | + | 0.794626i | ||||
\(482\) | 13.1433 | − | 0.0782484i | 0.598662 | − | 0.00356412i | ||||
\(483\) | 0.633590 | − | 2.45193i | 0.0288293 | − | 0.111567i | ||||
\(484\) | −0.0501537 | − | 4.21199i | −0.00227972 | − | 0.191454i | ||||
\(485\) | 6.85739 | + | 6.85739i | 0.311378 | + | 0.311378i | ||||
\(486\) | 14.7803 | − | 16.3567i | 0.670449 | − | 0.741956i | ||||
\(487\) | −1.44462 | −0.0654620 | −0.0327310 | − | 0.999464i | \(-0.510420\pi\) | ||||
−0.0327310 | + | 0.999464i | \(0.510420\pi\) | |||||||
\(488\) | 17.8280 | − | 5.11994i | 0.807034 | − | 0.231769i | ||||
\(489\) | 8.19724 | − | 4.83075i | 0.370692 | − | 0.218454i | ||||
\(490\) | 7.66656 | + | 7.57582i | 0.346340 | + | 0.342240i | ||||
\(491\) | 5.81109 | + | 1.55708i | 0.262251 | + | 0.0702699i | 0.387549 | − | 0.921849i | \(-0.373322\pi\) |
−0.125298 | + | 0.992119i | \(0.539989\pi\) | |||||||
\(492\) | 24.6828 | + | 6.06559i | 1.11279 | + | 0.273458i | ||||
\(493\) | −15.5024 | + | 4.15386i | −0.698193 | + | 0.187080i | ||||
\(494\) | 20.3946 | − | 35.8153i | 0.917598 | − | 1.61140i | ||||
\(495\) | −9.08261 | − | 5.02984i | −0.408233 | − | 0.226074i | ||||
\(496\) | −3.19516 | − | 1.74463i | −0.143467 | − | 0.0783364i | ||||
\(497\) | 33.1348 | + | 19.1304i | 1.48630 | + | 0.858114i | ||||
\(498\) | 0.339491 | + | 0.568317i | 0.0152130 | + | 0.0254669i | ||||
\(499\) | 5.08052 | + | 1.36132i | 0.227435 | + | 0.0609411i | 0.370737 | − | 0.928738i | \(-0.379105\pi\) |
−0.143302 | + | 0.989679i | \(0.545772\pi\) | |||||||
\(500\) | −4.69565 | − | 16.7252i | −0.209996 | − | 0.747975i | ||||
\(501\) | −31.3313 | + | 8.69567i | −1.39978 | + | 0.388494i | ||||
\(502\) | −40.1921 | − | 10.5134i | −1.79386 | − | 0.469235i | ||||
\(503\) | 10.8120i | 0.482085i | 0.970515 | + | 0.241043i | \(0.0774893\pi\) | ||||
−0.970515 | + | 0.241043i | \(0.922511\pi\) | |||||||
\(504\) | 27.8301 | − | 17.4214i | 1.23965 | − | 0.776010i | ||||
\(505\) | 0.718181i | 0.0319586i | ||||||||
\(506\) | −0.489575 | + | 1.87162i | −0.0217643 | + | 0.0832036i | ||||
\(507\) | 38.8229 | + | 38.1359i | 1.72419 | + | 1.69368i | ||||
\(508\) | 18.2217 | + | 10.2330i | 0.808458 | + | 0.454016i | ||||
\(509\) | −25.8141 | − | 6.91687i | −1.14419 | − | 0.306585i | −0.363556 | − | 0.931572i | \(-0.618437\pi\) |
−0.780635 | + | 0.624988i | \(0.785104\pi\) | |||||||
\(510\) | 0.130403 | + | 8.76321i | 0.00577435 | + | 0.388042i | ||||
\(511\) | 22.3005 | + | 12.8752i | 0.986515 | + | 0.569564i | ||||
\(512\) | −22.5949 | + | 1.21181i | −0.998565 | + | 0.0535550i | ||||
\(513\) | −22.7132 | + | 0.608377i | −1.00281 | + | 0.0268605i | ||||
\(514\) | −2.15413 | − | 1.22664i | −0.0950144 | − | 0.0541050i | ||||
\(515\) | −12.8147 | + | 3.43370i | −0.564685 | + | 0.151307i | ||||
\(516\) | 4.27530 | − | 7.77471i | 0.188210 | − | 0.342262i | ||||
\(517\) | −0.508018 | − | 0.136123i | −0.0223426 | − | 0.00598668i | ||||
\(518\) | 11.6135 | − | 11.7526i | 0.510268 | − | 0.516380i | ||||
\(519\) | 0.0715280 | + | 8.01302i | 0.00313973 | + | 0.351732i | ||||
\(520\) | −15.7647 | − | 8.73014i | −0.691328 | − | 0.382842i | ||||
\(521\) | −41.1590 | −1.80321 | −0.901605 | − | 0.432560i | \(-0.857610\pi\) | ||||
−0.901605 | + | 0.432560i | \(0.857610\pi\) | |||||||
\(522\) | −17.4556 | + | 5.12553i | −0.764009 | + | 0.224338i | ||||
\(523\) | 5.58726 | + | 5.58726i | 0.244314 | + | 0.244314i | 0.818632 | − | 0.574318i | \(-0.194733\pi\) |
−0.574318 | + | 0.818632i | \(0.694733\pi\) | |||||||
\(524\) | 27.0965 | + | 26.4588i | 1.18372 | + | 1.15586i | ||||
\(525\) | 26.3881 | − | 7.32375i | 1.15167 | − | 0.319635i | ||||
\(526\) | 0.00167321 | + | 0.281048i | 7.29556e−5 | + | 0.0122543i | ||||
\(527\) | 1.70319 | + | 2.95001i | 0.0741921 | + | 0.128505i | ||||
\(528\) | −21.2993 | + | 13.2452i | −0.926933 | + | 0.576423i | ||||
\(529\) | −11.4286 | + | 19.7949i | −0.496896 | + | 0.860649i | ||||
\(530\) | 9.42164 | + | 5.36505i | 0.409250 | + | 0.233043i | ||||
\(531\) | 8.92996 | + | 8.61667i | 0.387527 | + | 0.373932i | ||||
\(532\) | −32.7889 | − | 8.36862i | −1.42158 | − | 0.362826i | ||||
\(533\) | 47.2355 | − | 12.6567i | 2.04599 | − | 0.548223i | ||||
\(534\) | −3.92673 | − | 13.8284i | −0.169926 | − | 0.598411i | ||||
\(535\) | −1.05644 | − | 1.82980i | −0.0456737 | − | 0.0791092i | ||||
\(536\) | −3.79608 | − | 0.944830i | −0.163966 | − | 0.0408104i | ||||
\(537\) | −20.7784 | − | 35.2587i | −0.896656 | − | 1.52152i | ||||
\(538\) | 32.4006 | + | 8.47530i | 1.39689 | + | 0.365396i | ||||
\(539\) | 20.4087 | − | 20.4087i | 0.879067 | − | 0.879067i | ||||
\(540\) | 0.384228 | + | 9.92713i | 0.0165345 | + | 0.427196i | ||||
\(541\) | −17.0189 | − | 17.0189i | −0.731702 | − | 0.731702i | 0.239255 | − | 0.970957i | \(-0.423097\pi\) |
−0.970957 | + | 0.239255i | \(0.923097\pi\) | |||||||
\(542\) | 20.5918 | − | 12.0527i | 0.884494 | − | 0.517708i | ||||
\(543\) | 8.16740 | − | 4.81316i | 0.350497 | − | 0.206553i | ||||
\(544\) | 18.6430 | + | 10.0359i | 0.799310 | + | 0.430285i | ||||
\(545\) | −7.86112 | + | 4.53862i | −0.336733 | + | 0.194413i | ||||
\(546\) | 30.7674 | − | 55.1706i | 1.31672 | − | 2.36108i | ||||
\(547\) | −6.95876 | − | 25.9705i | −0.297535 | − | 1.11042i | −0.939183 | − | 0.343417i | \(-0.888416\pi\) |
0.641648 | − | 0.767000i | \(-0.278251\pi\) | |||||||
\(548\) | 16.2020 | + | 27.3066i | 0.692116 | + | 1.16648i | ||||
\(549\) | −19.0912 | − | 4.75189i | −0.814794 | − | 0.202806i | ||||
\(550\) | −20.1748 | + | 5.53477i | −0.860258 | + | 0.236003i | ||||
\(551\) | 16.2383 | + | 9.37517i | 0.691774 | + | 0.399396i | ||||
\(552\) | 1.77460 | − | 0.526832i | 0.0755321 | − | 0.0224235i | ||||
\(553\) | 8.45312 | − | 4.88041i | 0.359463 | − | 0.207536i | ||||
\(554\) | −29.1221 | + | 29.4709i | −1.23728 | + | 1.25210i | ||||
\(555\) | 1.33698 | + | 4.81727i | 0.0567518 | + | 0.204482i | ||||
\(556\) | 24.3521 | + | 23.7790i | 1.03276 | + | 1.00845i | ||||
\(557\) | 8.91025 | − | 8.91025i | 0.377539 | − | 0.377539i | −0.492674 | − | 0.870214i | \(-0.663981\pi\) |
0.870214 | + | 0.492674i | \(0.163981\pi\) | |||||||
\(558\) | 2.00969 | + | 3.29706i | 0.0850768 | + | 0.139576i | ||||
\(559\) | − | 17.0707i | − | 0.722013i | ||||||
\(560\) | −3.48809 | + | 14.3790i | −0.147399 | + | 0.607622i | ||||
\(561\) | 23.4682 | − | 0.209488i | 0.990828 | − | 0.00884461i | ||||
\(562\) | 9.65318 | − | 0.0574699i | 0.407195 | − | 0.00242422i | ||||
\(563\) | 2.93610 | − | 10.9577i | 0.123742 | − | 0.461811i | −0.876050 | − | 0.482221i | \(-0.839830\pi\) |
0.999792 | + | 0.0204094i | \(0.00649695\pi\) | |||||||
\(564\) | 0.140350 | + | 0.483288i | 0.00590981 | + | 0.0203501i | ||||
\(565\) | −3.91824 | − | 14.6231i | −0.164842 | − | 0.615197i | ||||
\(566\) | −13.4097 | + | 3.67881i | −0.563650 | + | 0.154632i | ||||
\(567\) | −34.8027 | + | 1.24316i | −1.46157 | + | 0.0522077i | ||||
\(568\) | 0.499476 | + | 27.9629i | 0.0209575 | + | 1.17330i | ||||
\(569\) | −11.0917 | + | 19.2114i | −0.464989 | + | 0.805384i | −0.999201 | − | 0.0399662i | \(-0.987275\pi\) |
0.534212 | + | 0.845350i | \(0.320608\pi\) | |||||||
\(570\) | 7.13167 | − | 7.34712i | 0.298713 | − | 0.307737i | ||||
\(571\) | 1.44185 | − | 5.38105i | 0.0603394 | − | 0.225190i | −0.929171 | − | 0.369650i | \(-0.879478\pi\) |
0.989511 | + | 0.144460i | \(0.0461444\pi\) | |||||||
\(572\) | −23.6289 | + | 42.0756i | −0.987973 | + | 1.75927i | ||||
\(573\) | −6.06527 | + | 6.17452i | −0.253380 | + | 0.257944i | ||||
\(574\) | −20.2823 | − | 34.6519i | −0.846566 | − | 1.44634i | ||||
\(575\) | 1.54401 | 0.0643898 | ||||||||
\(576\) | 21.3974 | + | 10.8698i | 0.891557 | + | 0.452909i | ||||
\(577\) | −17.9547 | −0.747466 | −0.373733 | − | 0.927536i | \(-0.621922\pi\) | ||||
−0.373733 | + | 0.927536i | \(0.621922\pi\) | |||||||
\(578\) | 2.13694 | + | 3.65092i | 0.0888849 | + | 0.151858i | ||||
\(579\) | −8.13287 | − | 29.3035i | −0.337991 | − | 1.21781i | ||||
\(580\) | 4.01432 | − | 7.14823i | 0.166685 | − | 0.296814i | ||||
\(581\) | 0.270659 | − | 1.01011i | 0.0112288 | − | 0.0419066i | ||||
\(582\) | −24.0956 | − | 6.07361i | −0.998793 | − | 0.251759i | ||||
\(583\) | 14.5167 | − | 25.1437i | 0.601222 | − | 1.04135i | ||||
\(584\) | 0.336159 | + | 18.8197i | 0.0139104 | + | 0.778764i | ||||
\(585\) | 9.85083 | + | 16.3797i | 0.407282 | + | 0.677218i | ||||
\(586\) | 2.62219 | − | 0.719372i | 0.108322 | − | 0.0297170i | ||||
\(587\) | −7.51380 | − | 28.0419i | −0.310128 | − | 1.15741i | −0.928441 | − | 0.371480i | \(-0.878850\pi\) |
0.618313 | − | 0.785932i | \(-0.287816\pi\) | |||||||
\(588\) | −26.8196 | − | 6.59067i | −1.10602 | − | 0.271795i | ||||
\(589\) | 1.03001 | − | 3.84407i | 0.0424410 | − | 0.158392i | ||||
\(590\) | −5.59205 | + | 0.0332921i | −0.230221 | + | 0.00137061i | ||||
\(591\) | 18.0151 | + | 30.5696i | 0.741041 | + | 1.25746i | ||||
\(592\) | 11.7371 | + | 2.84722i | 0.482392 | + | 0.117020i | ||||
\(593\) | − | 0.243119i | − | 0.00998372i | −0.999988 | − | 0.00499186i | \(-0.998411\pi\) | ||
0.999988 | − | 0.00499186i | \(-0.00158896\pi\) | |||||||
\(594\) | 26.5890 | − | 0.870625i | 1.09096 | − | 0.0357222i | ||||
\(595\) | 9.78966 | − | 9.78966i | 0.401337 | − | 0.401337i | ||||
\(596\) | −9.69202 | − | 9.46392i | −0.397001 | − | 0.387657i | ||||
\(597\) | 1.05280 | + | 0.272049i | 0.0430883 | + | 0.0111342i | ||||
\(598\) | 2.50336 | − | 2.53334i | 0.102370 | − | 0.103596i | ||||
\(599\) | −0.307246 | + | 0.177389i | −0.0125537 | + | 0.00724791i | −0.506264 | − | 0.862379i | \(-0.668974\pi\) |
0.493710 | + | 0.869627i | \(0.335640\pi\) | |||||||
\(600\) | 14.5289 | + | 13.7707i | 0.593139 | + | 0.562185i | ||||
\(601\) | 12.9273 | + | 7.46358i | 0.527316 | + | 0.304446i | 0.739923 | − | 0.672692i | \(-0.234862\pi\) |
−0.212607 | + | 0.977138i | \(0.568195\pi\) | |||||||
\(602\) | −13.5166 | + | 3.70816i | −0.550897 | + | 0.151133i | ||||
\(603\) | 2.98583 | + | 2.88108i | 0.121593 | + | 0.117327i | ||||
\(604\) | −8.97076 | − | 15.1192i | −0.365015 | − | 0.615191i | ||||
\(605\) | −0.521101 | − | 1.94477i | −0.0211858 | − | 0.0790663i | ||||
\(606\) | −0.943727 | − | 1.57982i | −0.0383363 | − | 0.0641759i | ||||
\(607\) | −35.2640 | + | 20.3597i | −1.43132 | + | 0.826375i | −0.997222 | − | 0.0744894i | \(-0.976267\pi\) |
−0.434101 | + | 0.900864i | \(0.642934\pi\) | |||||||
\(608\) | −7.11041 | − | 23.6919i | −0.288365 | − | 0.960834i | ||||
\(609\) | 25.0155 | + | 14.1465i | 1.01368 | + | 0.573246i | ||||
\(610\) | 7.65147 | − | 4.47853i | 0.309799 | − | 0.181330i | ||||
\(611\) | 0.684652 | + | 0.684652i | 0.0276980 | + | 0.0276980i | ||||
\(612\) | −11.8022 | − | 19.1056i | −0.477074 | − | 0.772296i | ||||
\(613\) | 30.0647 | − | 30.0647i | 1.21430 | − | 1.21430i | 0.244706 | − | 0.969597i | \(-0.421309\pi\) |
0.969597 | − | 0.244706i | \(-0.0786913\pi\) | |||||||
\(614\) | −19.0889 | − | 4.99325i | −0.770366 | − | 0.201511i | ||||
\(615\) | 12.1483 | − | 0.108442i | 0.489869 | − | 0.00437280i | ||||
\(616\) | 38.4483 | + | 9.56963i | 1.54913 | + | 0.385571i | ||||
\(617\) | 10.8854 | + | 18.8541i | 0.438231 | + | 0.759038i | 0.997553 | − | 0.0699125i | \(-0.0222720\pi\) |
−0.559323 | + | 0.828950i | \(0.688939\pi\) | |||||||
\(618\) | 23.6772 | − | 24.3925i | 0.952438 | − | 0.981212i | ||||
\(619\) | −37.7889 | + | 10.1255i | −1.51886 | + | 0.406978i | −0.919368 | − | 0.393399i | \(-0.871299\pi\) |
−0.599496 | + | 0.800378i | \(0.704632\pi\) | |||||||
\(620\) | −1.68600 | − | 0.430313i | −0.0677113 | − | 0.0172818i | ||||
\(621\) | −1.90947 | − | 0.457213i | −0.0766243 | − | 0.0183473i | ||||
\(622\) | 4.50036 | + | 2.56268i | 0.180448 | + | 0.102754i | ||||
\(623\) | −11.3541 | + | 19.6658i | −0.454891 | + | 0.787894i | ||||
\(624\) | 46.1503 | − | 1.51150i | 1.84749 | − | 0.0605082i | ||||
\(625\) | 6.06371 | + | 10.5026i | 0.242548 | + | 0.420106i | ||||
\(626\) | −0.0105044 | − | 1.76442i | −0.000419841 | − | 0.0705203i | ||||
\(627\) | −19.5604 | − | 19.2143i | −0.781168 | − | 0.767345i | ||||
\(628\) | 10.8241 | + | 10.5694i | 0.431930 | + | 0.421765i | ||||
\(629\) | −7.99101 | − | 7.99101i | −0.318622 | − | 0.318622i | ||||
\(630\) | 10.8297 | − | 11.3580i | 0.431465 | − | 0.452513i | ||||
\(631\) | −39.4346 | −1.56987 | −0.784934 | − | 0.619579i | \(-0.787303\pi\) | ||||
−0.784934 | + | 0.619579i | \(0.787303\pi\) | |||||||
\(632\) | 6.24168 | + | 3.45650i | 0.248281 | + | 0.137492i | ||||
\(633\) | −5.95660 | − | 3.36852i | −0.236754 | − | 0.133886i | ||||
\(634\) | 1.56693 | − | 1.58570i | 0.0622308 | − | 0.0629762i | ||||
\(635\) | 9.64861 | + | 2.58534i | 0.382893 | + | 0.102596i | ||||
\(636\) | −27.7752 | + | 0.578726i | −1.10136 | + | 0.0229480i | ||||
\(637\) | −51.3245 | + | 13.7524i | −2.03355 | + | 0.544888i | ||||
\(638\) | −19.0775 | − | 10.8635i | −0.755286 | − | 0.430090i | ||||
\(639\) | 14.3710 | − | 25.9503i | 0.568507 | − | 1.02658i | ||||
\(640\) | −10.3212 | + | 3.23203i | −0.407980 | + | 0.127757i | ||||
\(641\) | −25.2321 | − | 14.5677i | −0.996606 | − | 0.575391i | −0.0893639 | − | 0.995999i | \(-0.528483\pi\) |
−0.907242 | + | 0.420608i | \(0.861817\pi\) | |||||||
\(642\) | 4.72835 | + | 2.63690i | 0.186613 | + | 0.104070i | ||||
\(643\) | −0.887866 | − | 0.237903i | −0.0350140 | − | 0.00938197i | 0.241270 | − | 0.970458i | \(-0.422436\pi\) |
−0.276284 | + | 0.961076i | \(0.589103\pi\) | |||||||
\(644\) | −2.54970 | − | 1.43186i | −0.100472 | − | 0.0564234i | ||||
\(645\) | 1.06102 | − | 4.10606i | 0.0417778 | − | 0.161676i | ||||
\(646\) | −5.85730 | + | 22.3921i | −0.230452 | + | 0.881006i | ||||
\(647\) | 36.0035i | 1.41544i | 0.706491 | + | 0.707722i | \(0.250277\pi\) | ||||
−0.706491 | + | 0.707722i | \(0.749723\pi\) | |||||||
\(648\) | −13.8900 | − | 21.3323i | −0.545649 | − | 0.838014i | ||||
\(649\) | 14.9749i | 0.587817i | ||||||||
\(650\) | 37.2602 | + | 9.74646i | 1.46146 | + | 0.382288i | ||||
\(651\) | 1.52604 | − | 5.90562i | 0.0598102 | − | 0.231460i | ||||
\(652\) | −2.96972 | − | 10.5777i | −0.116303 | − | 0.414256i | ||||
\(653\) | 0.824032 | + | 0.220799i | 0.0322468 | + | 0.00864052i | 0.274906 | − | 0.961471i | \(-0.411353\pi\) |
−0.242660 | + | 0.970112i | \(0.578020\pi\) | |||||||
\(654\) | 11.3285 | − | 20.3138i | 0.442981 | − | 0.794331i | ||||
\(655\) | 15.6768 | + | 9.05098i | 0.612542 | + | 0.353651i | ||||
\(656\) | 14.0653 | − | 25.7594i | 0.549156 | − | 1.00574i | ||||
\(657\) | 9.67199 | − | 17.4652i | 0.377340 | − | 0.681381i | ||||
\(658\) | 0.393387 | − | 0.690832i | 0.0153358 | − | 0.0269315i | ||||
\(659\) | 7.69747 | − | 2.06253i | 0.299851 | − | 0.0803448i | −0.105757 | − | 0.994392i | \(-0.533727\pi\) |
0.405608 | + | 0.914047i | \(0.367060\pi\) | |||||||
\(660\) | −8.29872 | + | 8.65190i | −0.323027 | + | 0.336775i | ||||
\(661\) | −21.2171 | − | 5.68510i | −0.825249 | − | 0.221125i | −0.178609 | − | 0.983920i | \(-0.557160\pi\) |
−0.646640 | + | 0.762795i | \(0.723826\pi\) | |||||||
\(662\) | 9.49122 | + | 9.37888i | 0.368887 | + | 0.364521i | ||||
\(663\) | −37.6091 | − | 21.2683i | −1.46062 | − | 0.825991i | ||||
\(664\) | 0.734709 | − | 0.210998i | 0.0285122 | − | 0.00818831i | ||||
\(665\) | −16.1747 | −0.627228 | ||||||||
\(666\) | −9.27118 | − | 8.83995i | −0.359251 | − | 0.342541i | ||||
\(667\) | 1.14572 | + | 1.14572i | 0.0443624 | + | 0.0443624i | ||||
\(668\) | 0.447039 | + | 37.5431i | 0.0172965 | + | 1.45259i | ||||
\(669\) | 2.44392 | + | 2.40068i | 0.0944876 | + | 0.0928156i | ||||
\(670\) | −1.86976 | + | 0.0111316i | −0.0722353 | + | 0.000430051i | ||||
\(671\) | −11.8706 | − | 20.5605i | −0.458260 | − | 0.793730i | ||||
\(672\) | −11.2218 | − | 36.2137i | −0.432889 | − | 1.39697i | ||||
\(673\) | 22.9778 | − | 39.7988i | 0.885731 | − | 1.53413i | 0.0408565 | − | 0.999165i | \(-0.486991\pi\) |
0.844874 | − | 0.534965i | \(-0.179675\pi\) | |||||||
\(674\) | −9.58662 | + | 16.8352i | −0.369263 | + | 0.648467i | ||||
\(675\) | −6.04248 | − | 20.3543i | −0.232575 | − | 0.783438i | ||||
\(676\) | 54.0423 | − | 32.0653i | 2.07855 | − | 1.23328i | ||||
\(677\) | 7.36199 | − | 1.97264i | 0.282944 | − | 0.0758147i | −0.114556 | − | 0.993417i | \(-0.536544\pi\) |
0.397500 | + | 0.917602i | \(0.369878\pi\) | |||||||
\(678\) | 27.8346 | + | 27.0184i | 1.06898 | + | 1.03764i | ||||
\(679\) | 19.6270 | + | 33.9950i | 0.753216 | + | 1.30461i | ||||
\(680\) | 9.82039 | + | 2.44426i | 0.376595 | + | 0.0937329i | ||||
\(681\) | 51.5008 | − | 0.459721i | 1.97351 | − | 0.0176165i | ||||
\(682\) | −1.17917 | + | 4.50791i | −0.0451528 | + | 0.172617i | ||||
\(683\) | 17.1824 | − | 17.1824i | 0.657466 | − | 0.657466i | −0.297314 | − | 0.954780i | \(-0.596091\pi\) |
0.954780 | + | 0.297314i | \(0.0960908\pi\) | |||||||
\(684\) | −6.03341 | + | 25.5332i | −0.230693 | + | 0.976288i | ||||
\(685\) | 10.7314 | + | 10.7314i | 0.410025 | + | 0.410025i | ||||
\(686\) | 2.68820 | + | 4.59274i | 0.102636 | + | 0.175352i | ||||
\(687\) | 22.2435 | + | 12.5789i | 0.848641 | + | 0.479914i | ||||
\(688\) | −7.41495 | − | 7.06995i | −0.282692 | − | 0.269539i | ||||
\(689\) | −46.2891 | + | 26.7250i | −1.76348 | + | 1.01814i | ||||
\(690\) | 0.759598 | − | 0.453756i | 0.0289174 | − | 0.0172742i | ||||
\(691\) | 1.97900 | + | 7.38572i | 0.0752846 | + | 0.280966i | 0.993298 | − | 0.115584i | \(-0.0368740\pi\) |
−0.918013 | + | 0.396550i | \(0.870207\pi\) | |||||||
\(692\) | 8.96559 | + | 2.28827i | 0.340821 | + | 0.0869868i | ||||
\(693\) | −30.2418 | − | 29.1808i | −1.14879 | − | 1.10849i | ||||
\(694\) | 1.92843 | + | 7.02932i | 0.0732020 | + | 0.266829i | ||||
\(695\) | 14.0890 | + | 8.13426i | 0.534424 | + | 0.308550i | ||||
\(696\) | 0.562633 | + | 20.9994i | 0.0213265 | + | 0.795979i | ||||
\(697\) | −23.7830 | + | 13.7311i | −0.900846 | + | 0.520104i | ||||
\(698\) | 23.5231 | + | 23.2446i | 0.890362 | + | 0.879823i | ||||
\(699\) | 19.3495 | + | 5.00000i | 0.731865 | + | 0.189117i | ||||
\(700\) | −0.376510 | − | 31.6199i | −0.0142307 | − | 1.19512i | ||||
\(701\) | −20.1418 | + | 20.1418i | −0.760747 | + | 0.760747i | −0.976457 | − | 0.215711i | \(-0.930793\pi\) |
0.215711 | + | 0.976457i | \(0.430793\pi\) | |||||||
\(702\) | −43.1932 | − | 23.0869i | −1.63022 | − | 0.871357i | ||||
\(703\) | 13.2029i | 0.497958i | ||||||||
\(704\) | 8.49019 | + | 27.6895i | 0.319986 | + | 1.04359i | ||||
\(705\) | 0.122127 | + | 0.207236i | 0.00459956 | + | 0.00780494i | ||||
\(706\) | −0.247642 | − | 41.5963i | −0.00932014 | − | 1.56550i | ||||
\(707\) | −0.752385 | + | 2.80794i | −0.0282964 | + | 0.105603i | ||||
\(708\) | 12.2574 | − | 7.42147i | 0.460660 | − | 0.278916i | ||||
\(709\) | −8.10188 | − | 30.2366i | −0.304272 | − | 1.13556i | −0.933570 | − | 0.358396i | \(-0.883324\pi\) |
0.629297 | − | 0.777165i | \(-0.283343\pi\) | |||||||
\(710\) | 3.53664 | + | 12.8914i | 0.132728 | + | 0.483807i | ||||
\(711\) | −3.90021 | − | 6.48518i | −0.146269 | − | 0.243213i | ||||
\(712\) | −16.5962 | + | 0.296444i | −0.621971 | + | 0.0111097i | ||||
\(713\) | 0.171949 | − | 0.297825i | 0.00643955 | − | 0.0111536i | ||||
\(714\) | −8.67072 | + | 34.3990i | −0.324494 | + | 1.28735i | ||||
\(715\) | −5.96977 | + | 22.2795i | −0.223257 | + | 0.833206i | ||||
\(716\) | −45.4979 | + | 12.7736i | −1.70034 | + | 0.477373i | ||||
\(717\) | 7.97289 | + | 28.7270i | 0.297753 | + | 1.07283i | ||||
\(718\) | −25.7957 | + | 15.0986i | −0.962686 | + | 0.563475i | ||||
\(719\) | −45.7985 | −1.70800 | −0.853999 | − | 0.520275i | \(-0.825829\pi\) | ||||
−0.853999 | + | 0.520275i | \(0.825829\pi\) | |||||||
\(720\) | 11.1946 | + | 2.50490i | 0.417199 | + | 0.0933521i | ||||
\(721\) | −53.7003 | −1.99990 | ||||||||
\(722\) | 0.147419 | − | 0.0862867i | 0.00548637 | − | 0.00321126i | ||||
\(723\) | −11.2806 | + | 11.4838i | −0.419530 | + | 0.427087i | ||||
\(724\) | −2.95891 | − | 10.5392i | −0.109967 | − | 0.391687i | ||||
\(725\) | −4.53489 | + | 16.9245i | −0.168422 | + | 0.628559i | ||||
\(726\) | 3.70183 | + | 3.59327i | 0.137388 | + | 0.133359i | ||||
\(727\) | 4.35110 | − | 7.53632i | 0.161373 | − | 0.279507i | −0.773988 | − | 0.633200i | \(-0.781741\pi\) |
0.935361 | + | 0.353693i | \(0.115074\pi\) | |||||||
\(728\) | −52.4909 | − | 50.6486i | −1.94544 | − | 1.87716i | ||||
\(729\) | 1.44536 | + | 26.9613i | 0.0535319 | + | 0.998566i | ||||
\(730\) | 2.38024 | + | 8.67623i | 0.0880966 | + | 0.321122i | ||||
\(731\) | 2.48118 | + | 9.25990i | 0.0917699 | + | 0.342490i | ||||
\(732\) | −10.9463 | + | 19.9061i | −0.404588 | + | 0.735750i | ||||
\(733\) | 6.74821 | − | 25.1847i | 0.249251 | − | 0.930217i | −0.721948 | − | 0.691947i | \(-0.756753\pi\) |
0.971199 | − | 0.238270i | \(-0.0765802\pi\) | |||||||
\(734\) | 0.193733 | + | 32.5412i | 0.00715081 | + | 1.20112i | ||||
\(735\) | −13.2000 | + | 0.117829i | −0.486889 | + | 0.00434621i | ||||
\(736\) | −0.0636183 | − | 2.13658i | −0.00234500 | − | 0.0787553i | ||||
\(737\) | 5.00703i | 0.184436i | ||||||||
\(738\) | −26.5809 | + | 16.2021i | −0.978456 | + | 0.596408i | ||||
\(739\) | 4.46836 | − | 4.46836i | 0.164371 | − | 0.164371i | −0.620129 | − | 0.784500i | \(-0.712920\pi\) |
0.784500 | + | 0.620129i | \(0.212920\pi\) | |||||||
\(740\) | 5.77236 | − | 0.0687336i | 0.212196 | − | 0.00252670i | ||||
\(741\) | 13.4993 | + | 48.6393i | 0.495910 | + | 1.78681i | ||||
\(742\) | 31.2161 | + | 30.8466i | 1.14598 | + | 1.13241i | ||||
\(743\) | −6.20834 | + | 3.58439i | −0.227762 | + | 0.131499i | −0.609539 | − | 0.792756i | \(-0.708646\pi\) |
0.381777 | + | 0.924254i | \(0.375312\pi\) | |||||||
\(744\) | 4.27424 | − | 1.26891i | 0.156701 | − | 0.0465204i | ||||
\(745\) | −5.60734 | − | 3.23740i | −0.205437 | − | 0.118609i | ||||
\(746\) | 3.80624 | + | 13.8742i | 0.139356 | + | 0.507969i | ||||
\(747\) | −0.786770 | − | 0.195830i | −0.0287864 | − | 0.00716506i | ||||
\(748\) | 6.70178 | − | 26.2581i | 0.245041 | − | 0.960090i | ||||
\(749\) | −2.21350 | − | 8.26090i | −0.0808796 | − | 0.301847i | ||||
\(750\) | 18.5819 | + | 10.3627i | 0.678515 | + | 0.378393i | ||||
\(751\) | −11.9726 | + | 6.91239i | −0.436887 | + | 0.252237i | −0.702276 | − | 0.711905i | \(-0.747833\pi\) |
0.265389 | + | 0.964141i | \(0.414500\pi\) | |||||||
\(752\) | 0.580944 | − | 0.0138370i | 0.0211849 | − | 0.000504583i | ||||
\(753\) | 43.8356 | − | 25.8329i | 1.59746 | − | 0.941405i | ||||
\(754\) | 20.4163 | + | 34.8808i | 0.743516 | + | 1.27028i | ||||
\(755\) | −5.94177 | − | 5.94177i | −0.216243 | − | 0.216243i | ||||
\(756\) | −8.89767 | + | 39.2156i | −0.323605 | + | 1.42626i | ||||
\(757\) | −11.5484 | + | 11.5484i | −0.419735 | + | 0.419735i | −0.885112 | − | 0.465378i | \(-0.845919\pi\) |
0.465378 | + | 0.885112i | \(0.345919\pi\) | |||||||
\(758\) | 7.70621 | − | 29.4604i | 0.279902 | − | 1.07005i | ||||
\(759\) | −1.20296 | − | 2.04129i | −0.0436646 | − | 0.0740940i | ||||
\(760\) | −6.09352 | − | 10.1320i | −0.221035 | − | 0.367525i | ||||
\(761\) | −24.0288 | − | 41.6190i | −0.871042 | − | 1.50869i | −0.860920 | − | 0.508741i | \(-0.830111\pi\) |
−0.0101223 | − | 0.999949i | \(-0.503222\pi\) | |||||||
\(762\) | −24.6218 | + | 6.99167i | −0.891955 | + | 0.253281i | ||||
\(763\) | −35.4901 | + | 9.50955i | −1.28483 | + | 0.344269i | ||||
\(764\) | 5.09977 | + | 8.59507i | 0.184503 | + | 0.310959i | ||||
\(765\) | −7.72429 | − | 7.45330i | −0.279272 | − | 0.269475i | ||||
\(766\) | −6.20073 | + | 10.8892i | −0.224042 | + | 0.393442i | ||||
\(767\) | 13.7843 | − | 23.8751i | 0.497721 | − | 0.862078i | ||||
\(768\) | 18.4570 | − | 20.6722i | 0.666008 | − | 0.745944i | ||||
\(769\) | 4.47454 | + | 7.75012i | 0.161356 | + | 0.279477i | 0.935355 | − | 0.353710i | \(-0.115080\pi\) |
−0.773999 | + | 0.633186i | \(0.781747\pi\) | |||||||
\(770\) | 18.9378 | − | 0.112745i | 0.682469 | − | 0.00406306i | ||||
\(771\) | 2.92543 | − | 0.811923i | 0.105357 | − | 0.0292407i | ||||
\(772\) | −35.1133 | + | 0.418106i | −1.26375 | + | 0.0150480i | ||||
\(773\) | 26.5172 | + | 26.5172i | 0.953758 | + | 0.953758i | 0.998977 | − | 0.0452194i | \(-0.0143987\pi\) |
−0.0452194 | + | 0.998977i | \(0.514399\pi\) | |||||||
\(774\) | 3.06158 | + | 10.4266i | 0.110046 | + | 0.374775i | ||||
\(775\) | 3.71885 | 0.133585 | ||||||||
\(776\) | −13.9006 | + | 25.1015i | −0.499004 | + | 0.901091i | ||||
\(777\) | 0.180629 | + | 20.2352i | 0.00648004 | + | 0.725934i | ||||
\(778\) | −30.8893 | − | 30.5237i | −1.10743 | − | 1.09433i | ||||
\(779\) | 30.9909 | + | 8.30398i | 1.11036 | + | 0.297521i | ||||
\(780\) | 21.1950 | − | 6.15516i | 0.758901 | − | 0.220390i | ||||
\(781\) | 34.5770 | − | 9.26489i | 1.23726 | − | 0.331524i | ||||
\(782\) | −0.989717 | + | 1.73806i | −0.0353922 | + | 0.0621527i | ||||
\(783\) | 10.6199 | − | 19.5874i | 0.379526 | − | 0.699998i | ||||
\(784\) | −15.2828 | + | 27.9893i | −0.545816 | + | 0.999619i | ||||
\(785\) | 6.26233 | + | 3.61556i | 0.223512 | + | 0.129045i | ||||
\(786\) | −46.3785 | + | 0.690146i | −1.65427 | + | 0.0246167i | ||||
\(787\) | 28.7151 | + | 7.69420i | 1.02358 | + | 0.274268i | 0.731295 | − | 0.682062i | \(-0.238916\pi\) |
0.292289 | + | 0.956330i | \(0.405583\pi\) | |||||||
\(788\) | 39.4471 | − | 11.0749i | 1.40524 | − | 0.394525i | ||||
\(789\) | −0.245562 | − | 0.241217i | −0.00874225 | − | 0.00858756i | ||||
\(790\) | 3.29928 | + | 0.863021i | 0.117383 | + | 0.0307049i | ||||
\(791\) | − | 61.2781i | − | 2.17880i | ||||||
\(792\) | 6.88609 | − | 29.9370i | 0.244687 | − | 1.06377i | ||||
\(793\) | 43.7072i | 1.55209i | ||||||||
\(794\) | −6.65990 | + | 25.4604i | −0.236351 | + | 0.903557i | ||||
\(795\) | −12.7951 | + | 3.55116i | −0.453797 | + | 0.125947i | ||||
\(796\) | 0.614810 | − | 1.09478i | 0.0217914 | − | 0.0388035i | ||||
\(797\) | 20.6630 | + | 5.53663i | 0.731921 | + | 0.196118i | 0.605485 | − | 0.795857i | \(-0.292979\pi\) |
0.126436 | + | 0.991975i | \(0.459646\pi\) | |||||||
\(798\) | 35.5804 | − | 21.2544i | 1.25953 | − | 0.752398i | ||||
\(799\) | −0.470898 | − | 0.271873i | −0.0166592 | − | 0.00961819i | ||||
\(800\) | 19.6651 | − | 12.1481i | 0.695267 | − | 0.429499i | ||||
\(801\) | 15.4018 | + | 8.52931i | 0.544195 | + | 0.301368i | ||||
\(802\) | 43.3181 | + | 24.6671i | 1.52962 | + | 0.871024i | ||||
\(803\) | 23.2711 | − | 6.23548i | 0.821221 | − | 0.220045i | ||||
\(804\) | 4.09839 | − | 2.48145i | 0.144539 | − | 0.0875141i | ||||
\(805\) | −1.35009 | − | 0.361756i | −0.0475845 | − | 0.0127502i | ||||
\(806\) | 6.02949 | − | 6.10171i | 0.212380 | − | 0.214924i | ||||
\(807\) | −35.3378 | + | 20.8251i | −1.24395 | + | 0.733077i | ||||
\(808\) | −2.04236 | + | 0.586538i | −0.0718501 | + | 0.0206343i | ||||
\(809\) | 26.2708 | 0.923632 | 0.461816 | − | 0.886976i | \(-0.347198\pi\) | ||||
0.461816 | + | 0.886976i | \(0.347198\pi\) | |||||||
\(810\) | −8.95442 | − | 8.23781i | −0.314626 | − | 0.289447i | ||||
\(811\) | −0.268850 | − | 0.268850i | −0.00944059 | − | 0.00944059i | 0.702371 | − | 0.711811i | \(-0.252125\pi\) |
−0.711811 | + | 0.702371i | \(0.752125\pi\) | |||||||
\(812\) | 23.1838 | − | 23.7426i | 0.813593 | − | 0.833202i | ||||
\(813\) | −7.31100 | + | 28.2928i | −0.256408 | + | 0.992273i | ||||
\(814\) | −0.0920306 | − | 15.4583i | −0.00322567 | − | 0.541814i | ||||
\(815\) | −2.62570 | − | 4.54784i | −0.0919741 | − | 0.159304i | ||||
\(816\) | −24.8143 | + | 7.52775i | −0.868675 | + | 0.263524i | ||||
\(817\) | 5.59998 | − | 9.69945i | 0.195919 | − | 0.339341i | ||||
\(818\) | −1.60627 | − | 0.914674i | −0.0561619 | − | 0.0319808i | ||||
\(819\) | 21.3549 | + | 74.3613i | 0.746201 | + | 2.59840i | ||||
\(820\) | 3.46919 | − | 13.5925i | 0.121149 | − | 0.474672i | ||||
\(821\) | 4.45834 | − | 1.19461i | 0.155597 | − | 0.0416921i | −0.180180 | − | 0.983634i | \(-0.557668\pi\) |
0.335777 | + | 0.941942i | \(0.391001\pi\) | |||||||
\(822\) | −37.7080 | − | 9.50481i | −1.31522 | − | 0.331518i | ||||
\(823\) | 26.4439 | + | 45.8021i | 0.921776 | + | 1.59656i | 0.796666 | + | 0.604420i | \(0.206595\pi\) |
0.125110 | + | 0.992143i | \(0.460072\pi\) | |||||||
\(824\) | −20.2306 | − | 33.6383i | −0.704765 | − | 1.17185i | ||||
\(825\) | 12.6124 | − | 22.3028i | 0.439108 | − | 0.776482i | ||||
\(826\) | −21.8986 | − | 5.72821i | −0.761951 | − | 0.199310i | ||||
\(827\) | 17.9135 | − | 17.9135i | 0.622914 | − | 0.622914i | −0.323362 | − | 0.946275i | \(-0.604813\pi\) |
0.946275 | + | 0.323362i | \(0.104813\pi\) | |||||||
\(828\) | −1.07467 | + | 1.99630i | −0.0373474 | + | 0.0693763i | ||||
\(829\) | −33.9865 | − | 33.9865i | −1.18040 | − | 1.18040i | −0.979641 | − | 0.200759i | \(-0.935659\pi\) |
−0.200759 | − | 0.979641i | \(-0.564341\pi\) | |||||||
\(830\) | 0.315325 | − | 0.184565i | 0.0109451 | − | 0.00640634i | ||||
\(831\) | −0.452946 | − | 50.7419i | −0.0157125 | − | 1.76022i | ||||
\(832\) | 11.9517 | − | 51.9616i | 0.414352 | − | 1.80144i | ||||
\(833\) | 25.8418 | − | 14.9198i | 0.895366 | − | 0.516940i | ||||
\(834\) | −41.6811 | + | 0.620245i | −1.44330 | + | 0.0214773i | ||||
\(835\) | 4.64477 | + | 17.3345i | 0.160739 | + | 0.599885i | ||||
\(836\) | −27.2285 | + | 16.1557i | −0.941719 | + | 0.558756i | ||||
\(837\) | −4.59907 | − | 1.10123i | −0.158967 | − | 0.0380640i | ||||
\(838\) | −6.68183 | + | 1.83310i | −0.230820 | + | 0.0633233i | ||||
\(839\) | −4.43002 | − | 2.55767i | −0.152941 | − | 0.0883007i | 0.421576 | − | 0.906793i | \(-0.361477\pi\) |
−0.574518 | + | 0.818492i | \(0.694810\pi\) | |||||||
\(840\) | −9.47772 | − | 15.4452i | −0.327012 | − | 0.532910i | ||||
\(841\) | 9.19106 | − | 5.30646i | 0.316933 | − | 0.182981i | ||||
\(842\) | 14.1392 | − | 14.3086i | 0.487270 | − | 0.493107i | ||||
\(843\) | −8.28509 | + | 8.43433i | −0.285354 | + | 0.290494i | ||||
\(844\) | −5.52045 | + | 5.65350i | −0.190022 | + | 0.194601i | ||||
\(845\) | 21.2384 | − | 21.2384i | 0.730623 | − | 0.730623i | ||||
\(846\) | −0.540967 | − | 0.295386i | −0.0185988 | − | 0.0101556i | ||||
\(847\) | − | 8.14959i | − | 0.280023i | ||||||
\(848\) | −7.56249 | + | 31.1749i | −0.259697 | + | 1.07055i | ||||
\(849\) | 8.38313 | − | 14.8240i | 0.287708 | − | 0.508760i | ||||
\(850\) | −21.6282 | + | 0.128763i | −0.741842 | + | 0.00441653i | ||||
\(851\) | −0.295291 | + | 1.10204i | −0.0101224 | + | 0.0377775i | ||||
\(852\) | −24.7197 | − | 23.7106i | −0.846884 | − | 0.812313i | ||||
\(853\) | 3.18332 | + | 11.8803i | 0.108995 | + | 0.406774i | 0.998768 | − | 0.0496295i | \(-0.0158041\pi\) |
−0.889773 | + | 0.456403i | \(0.849137\pi\) | |||||||
\(854\) | 34.6075 | − | 9.49423i | 1.18424 | − | 0.324886i | ||||
\(855\) | 0.223865 | + | 12.5384i | 0.00765603 | + | 0.428804i | ||||
\(856\) | 4.34080 | − | 4.49869i | 0.148365 | − | 0.153762i | ||||
\(857\) | 23.2496 | − | 40.2696i | 0.794193 | − | 1.37558i | −0.129158 | − | 0.991624i | \(-0.541227\pi\) |
0.923351 | − | 0.383958i | \(-0.125439\pi\) | |||||||
\(858\) | −16.1444 | − | 56.8540i | −0.551160 | − | 1.94096i | ||||
\(859\) | 0.236185 | − | 0.881454i | 0.00805852 | − | 0.0300748i | −0.961780 | − | 0.273825i | \(-0.911711\pi\) |
0.969838 | + | 0.243750i | \(0.0783777\pi\) | |||||||
\(860\) | −4.26978 | − | 2.39783i | −0.145598 | − | 0.0817655i | ||||
\(861\) | 47.6112 | + | 12.3029i | 1.62258 | + | 0.419283i | ||||
\(862\) | 20.4478 | + | 34.9346i | 0.696453 | + | 1.18988i | ||||
\(863\) | −8.62192 | −0.293494 | −0.146747 | − | 0.989174i | \(-0.546880\pi\) | ||||
−0.146747 | + | 0.989174i | \(0.546880\pi\) | |||||||
\(864\) | −27.9170 | + | 9.20014i | −0.949755 | + | 0.312995i | ||||
\(865\) | 4.42272 | 0.150377 | ||||||||
\(866\) | −11.0328 | − | 18.8494i | −0.374911 | − | 0.640527i | ||||
\(867\) | −5.01630 | − | 1.29624i | −0.170363 | − | 0.0440225i | ||||
\(868\) | −6.14110 | − | 3.44873i | −0.208443 | − | 0.117058i | ||||
\(869\) | 2.36359 | − | 8.82106i | 0.0801795 | − | 0.299234i | ||||
\(870\) | 2.74277 | + | 9.65894i | 0.0929887 | + | 0.327469i | ||||
\(871\) | 4.60893 | − | 7.98290i | 0.156168 | − | 0.270490i | ||||
\(872\) | −19.3271 | − | 18.6488i | −0.654498 | − | 0.631527i | ||||
\(873\) | 26.0807 | − | 15.6851i | 0.882699 | − | 0.530859i | ||||
\(874\) | 2.25345 | − | 0.618211i | 0.0762239 | − | 0.0209113i | ||||
\(875\) | −8.69881 | − | 32.4644i | −0.294074 | − | 1.09750i | ||||
\(876\) | −16.6370 | − | 15.9578i | −0.562110 | − | 0.539164i | ||||
\(877\) | 2.40037 | − | 8.95831i | 0.0810548 | − | 0.302501i | −0.913483 | − | 0.406877i | \(-0.866618\pi\) |
0.994538 | + | 0.104376i | \(0.0332845\pi\) | |||||||
\(878\) | 20.7447 | − | 0.123503i | 0.700099 | − | 0.00416802i | ||||
\(879\) | −1.63928 | + | 2.89876i | −0.0552915 | + | 0.0977729i | ||||
\(880\) | 7.20506 | + | 11.8203i | 0.242883 | + | 0.398462i | ||||
\(881\) | − | 15.7006i | − | 0.528967i | −0.964390 | − | 0.264483i | \(-0.914799\pi\) | ||
0.964390 | − | 0.264483i | \(-0.0852014\pi\) | |||||||
\(882\) | 28.8819 | − | 17.6047i | 0.972504 | − | 0.592780i | ||||
\(883\) | 19.0929 | − | 19.0929i | 0.642526 | − | 0.642526i | −0.308650 | − | 0.951176i | \(-0.599877\pi\) |
0.951176 | + | 0.308650i | \(0.0998771\pi\) | |||||||
\(884\) | −34.8552 | + | 35.6953i | −1.17231 | + | 1.20056i | ||||
\(885\) | 4.79952 | − | 4.88598i | 0.161334 | − | 0.164240i | ||||
\(886\) | −15.0913 | + | 15.2721i | −0.507002 | + | 0.513075i | ||||
\(887\) | −13.7996 | + | 7.96720i | −0.463345 | + | 0.267513i | −0.713450 | − | 0.700706i | \(-0.752868\pi\) |
0.250105 | + | 0.968219i | \(0.419535\pi\) | |||||||
\(888\) | −12.6075 | + | 7.73638i | −0.423078 | + | 0.259616i | ||||
\(889\) | 35.0156 | + | 20.2163i | 1.17439 | + | 0.678032i | ||||
\(890\) | −7.65118 | + | 2.09903i | −0.256468 | + | 0.0703596i | ||||
\(891\) | −22.2020 | + | 23.8468i | −0.743793 | + | 0.798899i | ||||
\(892\) | 3.40200 | − | 2.01853i | 0.113907 | − | 0.0675853i | ||||
\(893\) | 0.164417 | + | 0.613613i | 0.00550201 | + | 0.0205338i | ||||
\(894\) | 16.5889 | − | 0.246855i | 0.554815 | − | 0.00825606i | ||||
\(895\) | −19.5616 | + | 11.2939i | −0.653871 | + | 0.377513i | ||||
\(896\) | −43.7396 | + | 1.82385i | −1.46124 | + | 0.0609306i | ||||
\(897\) | 0.0389356 | + | 4.36181i | 0.00130002 | + | 0.145637i | ||||
\(898\) | 29.6528 | − | 17.3563i | 0.989528 | − | 0.579186i | ||||
\(899\) | 2.75953 | + | 2.75953i | 0.0920356 | + | 0.0920356i | ||||
\(900\) | −24.5061 | + | 0.729498i | −0.816869 | + | 0.0243166i | ||||
\(901\) | 21.2249 | − | 21.2249i | 0.707104 | − | 0.707104i | ||||
\(902\) | −36.3428 | − | 9.50649i | −1.21008 | − | 0.316531i | ||||
\(903\) | 8.45000 | − | 14.9423i | 0.281198 | − | 0.497248i | ||||
\(904\) | 38.3851 | − | 23.0854i | 1.27667 | − | 0.767807i | ||||
\(905\) | −2.61614 | − | 4.53128i | −0.0869634 | − | 0.150625i | ||||
\(906\) | 20.8782 | + | 5.26264i | 0.693633 | + | 0.174840i | ||||
\(907\) | −34.9013 | + | 9.35177i | −1.15888 | + | 0.310520i | −0.786517 | − | 0.617568i | \(-0.788118\pi\) |
−0.372360 | + | 0.928088i | \(0.621451\pi\) | |||||||
\(908\) | 14.7070 | − | 57.6231i | 0.488069 | − | 1.91229i | ||||
\(909\) | 2.18709 | + | 0.544374i | 0.0725410 | + | 0.0180558i | ||||
\(910\) | −30.2970 | − | 17.2523i | −1.00433 | − | 0.571908i | ||||
\(911\) | 22.5779 | − | 39.1061i | 0.748040 | − | 1.29564i | −0.200721 | − | 0.979648i | \(-0.564329\pi\) |
0.948761 | − | 0.315994i | \(-0.102338\pi\) | |||||||
\(912\) | 26.7182 | + | 14.2806i | 0.884727 | + | 0.472880i | ||||
\(913\) | −0.489201 | − | 0.847320i | −0.0161902 | − | 0.0280422i | ||||
\(914\) | 0.281152 | + | 47.2248i | 0.00929967 | + | 1.56206i | ||||
\(915\) | −2.71661 | + | 10.5130i | −0.0898084 | + | 0.347549i | ||||
\(916\) | 20.6147 | − | 21.1116i | 0.681130 | − | 0.697546i | ||||
\(917\) | 51.8109 | + | 51.8109i | 1.71095 | + | 1.71095i | ||||
\(918\) | 26.7856 | + | 6.24531i | 0.884055 | + | 0.206126i | ||||
\(919\) | 50.2366 | 1.65715 | 0.828575 | − | 0.559877i | \(-0.189152\pi\) | ||||
0.828575 | + | 0.559877i | \(0.189152\pi\) | |||||||
\(920\) | −0.282015 | − | 0.981995i | −0.00929776 | − | 0.0323754i | ||||
\(921\) | 20.8194 | − | 12.2692i | 0.686022 | − | 0.404282i | ||||
\(922\) | −7.40648 | + | 7.49519i | −0.243919 | + | 0.246841i | ||||
\(923\) | −63.6557 | − | 17.0565i | −2.09525 | − | 0.561421i | ||||
\(924\) | −41.5102 | + | 25.1332i | −1.36559 | + | 0.826822i | ||||
\(925\) | −11.9172 | + | 3.19322i | −0.391837 | + | 0.104992i | ||||
\(926\) | 35.9394 | + | 20.4653i | 1.18104 | + | 0.672531i | ||||
\(927\) | 0.743235 | + | 41.6276i | 0.0244111 | + | 1.36723i | ||||
\(928\) | 23.6066 | + | 5.57797i | 0.774926 | + | 0.183106i | ||||
\(929\) | −34.6234 | − | 19.9898i | −1.13596 | − | 0.655844i | −0.190530 | − | 0.981681i | \(-0.561021\pi\) |
−0.945426 | + | 0.325837i | \(0.894354\pi\) | |||||||
\(930\) | 1.82954 | − | 1.09290i | 0.0599930 | − | 0.0358376i | ||||
\(931\) | −33.6737 | − | 9.02283i | −1.10361 | − | 0.295711i | ||||
\(932\) | 11.2996 | − | 20.1210i | 0.370131 | − | 0.659086i | ||||
\(933\) | −6.11176 | + | 1.69625i | −0.200090 | + | 0.0555328i | ||||
\(934\) | 13.2478 | − | 50.6457i | 0.433482 | − | 1.65718i | ||||
\(935\) | − | 12.9531i | − | 0.423611i | ||||||
\(936\) | −38.5355 | + | 41.3911i | −1.25957 | + | 1.35291i | ||||
\(937\) | − | 50.1813i | − | 1.63935i | −0.572828 | − | 0.819675i | \(-0.694154\pi\) | ||
0.572828 | − | 0.819675i | \(-0.305846\pi\) | |||||||
\(938\) | −7.32206 | − | 1.91529i | −0.239074 | − | 0.0625365i | ||||
\(939\) | 1.54164 | + | 1.51436i | 0.0503094 | + | 0.0494192i | ||||
\(940\) | 0.267417 | − | 0.0750780i | 0.00872219 | − | 0.00244878i | ||||
\(941\) | −38.2914 | − | 10.2601i | −1.24826 | − | 0.334471i | −0.426598 | − | 0.904442i | \(-0.640288\pi\) |
−0.821665 | + | 0.569970i | \(0.806955\pi\) | |||||||
\(942\) | −18.5266 | + | 0.275690i | −0.603629 | + | 0.00898245i | ||||
\(943\) | 2.40107 | + | 1.38626i | 0.0781895 | + | 0.0451427i | ||||
\(944\) | −4.66170 | − | 15.8755i | −0.151725 | − | 0.516703i | ||||
\(945\) | 0.514640 | + | 19.2136i | 0.0167412 | + | 0.625020i | ||||
\(946\) | −6.48899 | + | 11.3954i | −0.210975 | + | 0.370496i | ||||
\(947\) | −12.7131 | + | 3.40647i | −0.413121 | + | 0.110695i | −0.459392 | − | 0.888233i | \(-0.651933\pi\) |
0.0462714 | + | 0.998929i | \(0.485266\pi\) | |||||||
\(948\) | −8.39166 | + | 2.43699i | −0.272548 | + | 0.0791499i | ||||
\(949\) | −42.8418 | − | 11.4794i | −1.39070 | − | 0.372638i | ||||
\(950\) | 17.9737 | + | 17.7610i | 0.583144 | + | 0.576242i | ||||
\(951\) | 0.0243711 | + | 2.73020i | 0.000790286 | + | 0.0885327i | ||||
\(952\) | 35.8351 | + | 19.8446i | 1.16142 | + | 0.643168i | ||||
\(953\) | 10.3207 | 0.334320 | 0.167160 | − | 0.985930i | \(-0.446540\pi\) | ||||
0.167160 | + | 0.985930i | \(0.446540\pi\) | |||||||
\(954\) | 23.4798 | − | 24.6252i | 0.760185 | − | 0.797269i | ||||
\(955\) | 3.37783 | + | 3.37783i | 0.109304 | + | 0.109304i | ||||
\(956\) | 34.4225 | − | 0.409882i | 1.11330 | − | 0.0132565i | ||||
\(957\) | 25.9084 | − | 7.19061i | 0.837500 | − | 0.232439i | ||||
\(958\) | −32.1395 | + | 0.191341i | −1.03838 | + | 0.00618196i | ||||
\(959\) | 30.7150 | + | 53.2000i | 0.991841 | + | 1.71792i | ||||
\(960\) | 6.10445 | − | 11.7556i | 0.197020 | − | 0.379411i | ||||
\(961\) | −15.0858 | + | 26.1295i | −0.486640 | + | 0.842886i | ||||
\(962\) | −14.0825 | + | 24.7305i | −0.454039 | + | 0.797343i | ||||
\(963\) | −6.37308 | + | 1.83021i | −0.205370 | + | 0.0589776i | ||||
\(964\) | 9.48490 | + | 15.9857i | 0.305488 | + | 0.514865i | ||||
\(965\) | −16.2126 | + | 4.34415i | −0.521902 | + | 0.139843i | ||||
\(966\) | 3.44524 | − | 0.978318i | 0.110849 | − | 0.0314769i | ||||
\(967\) | −25.6787 | − | 44.4768i | −0.825771 | − | 1.43028i | −0.901329 | − | 0.433136i | \(-0.857407\pi\) |
0.0755575 | − | 0.997141i | \(-0.475926\pi\) | |||||||
\(968\) | 5.10497 | − | 3.07020i | 0.164080 | − | 0.0986800i | ||||
\(969\) | −14.3922 | − | 24.4220i | −0.462345 | − | 0.784549i | ||||
\(970\) | −3.47072 | + | 13.2684i | −0.111438 | + | 0.426022i | ||||
\(971\) | 14.0572 | − | 14.0572i | 0.451117 | − | 0.451117i | −0.444608 | − | 0.895725i | \(-0.646657\pi\) |
0.895725 | + | 0.444608i | \(0.146657\pi\) | |||||||
\(972\) | 30.5224 | + | 6.35457i | 0.979008 | + | 0.203823i | ||||
\(973\) | 46.5632 | + | 46.5632i | 1.49275 | + | 1.49275i | ||||
\(974\) | −1.03202 | − | 1.76318i | −0.0330679 | − | 0.0564959i | ||||
\(975\) | −40.6379 | + | 23.9485i | −1.30146 | + | 0.766966i | ||||
\(976\) | 18.9850 | + | 18.1017i | 0.607695 | + | 0.579420i | ||||
\(977\) | 26.6234 | − | 15.3711i | 0.851759 | − | 0.491764i | −0.00948463 | − | 0.999955i | \(-0.503019\pi\) |
0.861244 | + | 0.508191i | \(0.169686\pi\) | |||||||
\(978\) | 11.7520 | + | 6.55382i | 0.375787 | + | 0.209568i | ||||
\(979\) | 5.49880 | + | 20.5218i | 0.175742 | + | 0.655880i | ||||
\(980\) | −3.76950 | + | 14.7692i | −0.120412 | + | 0.471785i | ||||
\(981\) | 7.86285 | + | 27.3798i | 0.251042 | + | 0.874169i | ||||
\(982\) | 2.25093 | + | 8.20487i | 0.0718300 | + | 0.261828i | ||||
\(983\) | 36.6682 | + | 21.1704i | 1.16953 | + | 0.675230i | 0.953570 | − | 0.301172i | \(-0.0973777\pi\) |
0.215963 | + | 0.976402i | \(0.430711\pi\) | |||||||
\(984\) | 10.2299 | + | 34.4589i | 0.326118 | + | 1.09851i | ||||
\(985\) | 16.9600 | − | 9.79189i | 0.540392 | − | 0.311995i | ||||
\(986\) | −16.1445 | − | 15.9534i | −0.514147 | − | 0.508061i | ||||
\(987\) | 0.260385 | + | 0.938192i | 0.00828816 | + | 0.0298630i | ||||
\(988\) | 58.2826 | − | 0.693992i | 1.85422 | − | 0.0220788i | ||||
\(989\) | 0.684361 | − | 0.684361i | 0.0217614 | − | 0.0217614i | ||||
\(990\) | −0.349505 | − | 14.6787i | −0.0111080 | − | 0.466520i | ||||
\(991\) | 37.3774i | 1.18733i | 0.804711 | + | 0.593666i | \(0.202320\pi\) | ||||
−0.804711 | + | 0.593666i | \(0.797680\pi\) | |||||||
\(992\) | −0.153229 | − | 5.14608i | −0.00486501 | − | 0.163388i | ||||
\(993\) | −16.3416 | + | 0.145873i | −0.518586 | + | 0.00462915i | ||||
\(994\) | 0.322130 | + | 54.1079i | 0.0102173 | + | 1.71620i | ||||
\(995\) | 0.155330 | − | 0.579699i | 0.00492429 | − | 0.0183777i | ||||
\(996\) | −0.451110 | + | 0.820351i | −0.0142940 | + | 0.0259938i | ||||
\(997\) | 0.432008 | + | 1.61228i | 0.0136818 | + | 0.0510613i | 0.972429 | − | 0.233198i | \(-0.0749190\pi\) |
−0.958747 | + | 0.284259i | \(0.908252\pi\) | |||||||
\(998\) | 1.96794 | + | 7.17335i | 0.0622940 | + | 0.227068i | ||||
\(999\) | 15.6835 | − | 0.420085i | 0.496205 | − | 0.0132909i |
(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 | 144.2.u.a.83.16 | yes | 88 | |
3.2 | odd | 2 | 432.2.v.a.35.7 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.47.21 | 88 | |||
9.4 | even | 3 | 432.2.v.a.179.1 | 88 | |||
9.5 | odd | 6 | inner | 144.2.u.a.131.22 | yes | 88 | |
12.11 | even | 2 | 1728.2.z.a.1007.14 | 88 | |||
16.5 | even | 4 | 576.2.y.a.335.9 | 88 | |||
16.11 | odd | 4 | inner | 144.2.u.a.11.22 | ✓ | 88 | |
36.23 | even | 6 | 576.2.y.a.239.9 | 88 | |||
36.31 | odd | 6 | 1728.2.z.a.1583.14 | 88 | |||
48.5 | odd | 4 | 1728.2.z.a.143.14 | 88 | |||
48.11 | even | 4 | 432.2.v.a.251.1 | 88 | |||
144.5 | odd | 12 | 576.2.y.a.527.21 | 88 | |||
144.59 | even | 12 | inner | 144.2.u.a.59.16 | yes | 88 | |
144.85 | even | 12 | 1728.2.z.a.719.14 | 88 | |||
144.139 | odd | 12 | 432.2.v.a.395.7 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.22 | ✓ | 88 | 16.11 | odd | 4 | inner | |
144.2.u.a.59.16 | yes | 88 | 144.59 | even | 12 | inner | |
144.2.u.a.83.16 | yes | 88 | 1.1 | even | 1 | trivial | |
144.2.u.a.131.22 | yes | 88 | 9.5 | odd | 6 | inner | |
432.2.v.a.35.7 | 88 | 3.2 | odd | 2 | |||
432.2.v.a.179.1 | 88 | 9.4 | even | 3 | |||
432.2.v.a.251.1 | 88 | 48.11 | even | 4 | |||
432.2.v.a.395.7 | 88 | 144.139 | odd | 12 | |||
576.2.y.a.47.21 | 88 | 4.3 | odd | 2 | |||
576.2.y.a.239.9 | 88 | 36.23 | even | 6 | |||
576.2.y.a.335.9 | 88 | 16.5 | even | 4 | |||
576.2.y.a.527.21 | 88 | 144.5 | odd | 12 | |||
1728.2.z.a.143.14 | 88 | 48.5 | odd | 4 | |||
1728.2.z.a.719.14 | 88 | 144.85 | even | 12 | |||
1728.2.z.a.1007.14 | 88 | 12.11 | even | 2 | |||
1728.2.z.a.1583.14 | 88 | 36.31 | odd | 6 |