Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(13,144)]
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([0, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.x (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: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 85.16 | ||
Character | \(\chi\) | \(=\) | 144.85 |
Dual form | 144.2.x.e.61.16 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.11640 | + | 0.868135i | 0.789412 | + | 0.613864i | ||||
\(3\) | −0.795173 | + | 1.53873i | −0.459093 | + | 0.888388i | ||||
\(4\) | 0.492685 | + | 1.93837i | 0.246342 | + | 0.969183i | ||||
\(5\) | −2.41406 | + | 0.646846i | −1.07960 | + | 0.289278i | −0.754433 | − | 0.656378i | \(-0.772088\pi\) |
−0.325169 | + | 0.945656i | \(0.605421\pi\) | |||||||
\(6\) | −2.22356 | + | 1.02752i | −0.907763 | + | 0.419483i | ||||
\(7\) | 2.82197 | − | 1.62927i | 1.06661 | − | 0.615805i | 0.139353 | − | 0.990243i | \(-0.455498\pi\) |
0.927252 | + | 0.374438i | \(0.122164\pi\) | |||||||
\(8\) | −1.13273 | + | 2.59170i | −0.400481 | + | 0.916305i | ||||
\(9\) | −1.73540 | − | 2.44712i | −0.578467 | − | 0.815706i | ||||
\(10\) | −3.25660 | − | 1.37359i | −1.02983 | − | 0.434369i | ||||
\(11\) | 0.356120 | − | 1.32906i | 0.107374 | − | 0.400726i | −0.891229 | − | 0.453553i | \(-0.850156\pi\) |
0.998604 | + | 0.0528265i | \(0.0168230\pi\) | |||||||
\(12\) | −3.37440 | − | 0.783225i | −0.974105 | − | 0.226098i | ||||
\(13\) | 1.42802 | + | 5.32945i | 0.396062 | + | 1.47812i | 0.819964 | + | 0.572415i | \(0.193993\pi\) |
−0.423903 | + | 0.905708i | \(0.639340\pi\) | |||||||
\(14\) | 4.56486 | + | 0.630943i | 1.22001 | + | 0.168627i | ||||
\(15\) | 0.924273 | − | 4.22895i | 0.238646 | − | 1.09191i | ||||
\(16\) | −3.51452 | + | 1.91001i | −0.878631 | + | 0.477501i | ||||
\(17\) | 5.37452 | 1.30351 | 0.651756 | − | 0.758428i | \(-0.274032\pi\) | ||||
0.651756 | + | 0.758428i | \(0.274032\pi\) | |||||||
\(18\) | 0.187031 | − | 4.23852i | 0.0440836 | − | 0.999028i | ||||
\(19\) | 4.71269 | − | 4.71269i | 1.08116 | − | 1.08116i | 0.0847630 | − | 0.996401i | \(-0.472987\pi\) |
0.996401 | − | 0.0847630i | \(-0.0270133\pi\) | |||||||
\(20\) | −2.44320 | − | 4.36064i | −0.546315 | − | 0.975070i | ||||
\(21\) | 0.263051 | + | 5.63781i | 0.0574025 | + | 1.23027i | ||||
\(22\) | 1.55137 | − | 1.17460i | 0.330754 | − | 0.250425i | ||||
\(23\) | −2.88877 | − | 1.66783i | −0.602351 | − | 0.347767i | 0.167615 | − | 0.985853i | \(-0.446393\pi\) |
−0.769966 | + | 0.638085i | \(0.779727\pi\) | |||||||
\(24\) | −3.08722 | − | 3.80382i | −0.630177 | − | 0.776452i | ||||
\(25\) | 1.07916 | − | 0.623053i | 0.215832 | − | 0.124611i | ||||
\(26\) | −3.03244 | + | 7.18949i | −0.594710 | + | 1.40998i | ||||
\(27\) | 5.14540 | − | 0.724438i | 0.990234 | − | 0.139418i | ||||
\(28\) | 4.54846 | + | 4.66730i | 0.859577 | + | 0.882037i | ||||
\(29\) | −3.03883 | − | 0.814251i | −0.564296 | − | 0.151203i | −0.0346168 | − | 0.999401i | \(-0.511021\pi\) |
−0.529679 | + | 0.848198i | \(0.677688\pi\) | |||||||
\(30\) | 4.70316 | − | 3.91880i | 0.858675 | − | 0.715471i | ||||
\(31\) | 0.621800 | − | 1.07699i | 0.111679 | − | 0.193433i | −0.804769 | − | 0.593589i | \(-0.797711\pi\) |
0.916447 | + | 0.400156i | \(0.131044\pi\) | |||||||
\(32\) | −5.58175 | − | 0.918755i | −0.986723 | − | 0.162414i | ||||
\(33\) | 1.76189 | + | 1.60481i | 0.306706 | + | 0.279361i | ||||
\(34\) | 6.00010 | + | 4.66581i | 1.02901 | + | 0.800179i | ||||
\(35\) | −5.75853 | + | 5.75853i | −0.973369 | + | 0.973369i | ||||
\(36\) | 3.88840 | − | 4.56950i | 0.648067 | − | 0.761583i | ||||
\(37\) | −5.86087 | − | 5.86087i | −0.963521 | − | 0.963521i | 0.0358368 | − | 0.999358i | \(-0.488590\pi\) |
−0.999358 | + | 0.0358368i | \(0.988590\pi\) | |||||||
\(38\) | 9.35247 | − | 1.16998i | 1.51717 | − | 0.189796i | ||||
\(39\) | −9.33612 | − | 2.04049i | −1.49498 | − | 0.326739i | ||||
\(40\) | 1.05805 | − | 6.98923i | 0.167292 | − | 1.10509i | ||||
\(41\) | −2.81108 | − | 1.62298i | −0.439017 | − | 0.253467i | 0.264163 | − | 0.964478i | \(-0.414904\pi\) |
−0.703181 | + | 0.711011i | \(0.748237\pi\) | |||||||
\(42\) | −4.60071 | + | 6.52240i | −0.709905 | + | 1.00643i | ||||
\(43\) | 1.61636 | − | 6.03232i | 0.246492 | − | 0.919920i | −0.726136 | − | 0.687551i | \(-0.758686\pi\) |
0.972628 | − | 0.232369i | \(-0.0746476\pi\) | |||||||
\(44\) | 2.75166 | + | 0.0354845i | 0.414828 | + | 0.00534949i | ||||
\(45\) | 5.77227 | + | 4.78496i | 0.860480 | + | 0.713299i | ||||
\(46\) | −1.77711 | − | 4.36981i | −0.262021 | − | 0.644293i | ||||
\(47\) | 2.17485 | + | 3.76695i | 0.317234 | + | 0.549466i | 0.979910 | − | 0.199441i | \(-0.0639125\pi\) |
−0.662676 | + | 0.748907i | \(0.730579\pi\) | |||||||
\(48\) | −0.144337 | − | 6.92670i | −0.0208332 | − | 0.999783i | ||||
\(49\) | 1.80902 | − | 3.13331i | 0.258431 | − | 0.447615i | ||||
\(50\) | 1.74566 | + | 0.241281i | 0.246874 | + | 0.0341223i | ||||
\(51\) | −4.27367 | + | 8.26995i | −0.598434 | + | 1.15803i | ||||
\(52\) | −9.62685 | + | 5.39376i | −1.33500 | + | 0.747980i | ||||
\(53\) | −0.134334 | − | 0.134334i | −0.0184522 | − | 0.0184522i | 0.697820 | − | 0.716273i | \(-0.254153\pi\) |
−0.716273 | + | 0.697820i | \(0.754153\pi\) | |||||||
\(54\) | 6.37322 | + | 3.65814i | 0.867286 | + | 0.497810i | ||||
\(55\) | 3.43879i | 0.463686i | ||||||||
\(56\) | 1.02604 | + | 9.15923i | 0.137110 | + | 1.22395i | ||||
\(57\) | 3.50417 | + | 10.9990i | 0.464138 | + | 1.45685i | ||||
\(58\) | −2.68566 | − | 3.54714i | −0.352644 | − | 0.465762i | ||||
\(59\) | −2.21088 | + | 0.592405i | −0.287833 | + | 0.0771245i | −0.399846 | − | 0.916582i | \(-0.630937\pi\) |
0.112014 | + | 0.993707i | \(0.464270\pi\) | |||||||
\(60\) | 8.65263 | − | 0.291961i | 1.11705 | − | 0.0376920i | ||||
\(61\) | −2.29879 | − | 0.615960i | −0.294330 | − | 0.0788656i | 0.108632 | − | 0.994082i | \(-0.465353\pi\) |
−0.402963 | + | 0.915216i | \(0.632020\pi\) | |||||||
\(62\) | 1.62915 | − | 0.662542i | 0.206902 | − | 0.0841429i | ||||
\(63\) | −8.88426 | − | 4.07827i | −1.11931 | − | 0.513813i | ||||
\(64\) | −5.43384 | − | 5.87140i | −0.679230 | − | 0.733925i | ||||
\(65\) | −6.89466 | − | 11.9419i | −0.855178 | − | 1.48121i | ||||
\(66\) | 0.573782 | + | 3.32116i | 0.0706277 | + | 0.408806i | ||||
\(67\) | −0.0300838 | − | 0.112274i | −0.00367532 | − | 0.0137165i | 0.964064 | − | 0.265671i | \(-0.0855934\pi\) |
−0.967739 | + | 0.251954i | \(0.918927\pi\) | |||||||
\(68\) | 2.64794 | + | 10.4178i | 0.321110 | + | 1.26334i | ||||
\(69\) | 4.86343 | − | 3.11884i | 0.585488 | − | 0.375464i | ||||
\(70\) | −11.4280 | + | 1.42963i | −1.36591 | + | 0.170873i | ||||
\(71\) | − | 3.21118i | − | 0.381097i | −0.981678 | − | 0.190548i | \(-0.938973\pi\) | ||
0.981678 | − | 0.190548i | \(-0.0610266\pi\) | |||||||
\(72\) | 8.30794 | − | 1.72572i | 0.979100 | − | 0.203378i | ||||
\(73\) | 9.75441i | 1.14167i | 0.821066 | + | 0.570833i | \(0.193380\pi\) | ||||
−0.821066 | + | 0.570833i | \(0.806620\pi\) | |||||||
\(74\) | −1.45503 | − | 11.6311i | −0.169144 | − | 1.35209i | ||||
\(75\) | 0.100594 | + | 2.15597i | 0.0116156 | + | 0.248950i | ||||
\(76\) | 11.4568 | + | 6.81304i | 1.31418 | + | 0.781509i | ||||
\(77\) | −1.16043 | − | 4.33078i | −0.132243 | − | 0.493538i | ||||
\(78\) | −8.65140 | − | 10.3830i | −0.979578 | − | 1.17564i | ||||
\(79\) | 1.11184 | + | 1.92576i | 0.125092 | + | 0.216665i | 0.921769 | − | 0.387740i | \(-0.126744\pi\) |
−0.796677 | + | 0.604405i | \(0.793411\pi\) | |||||||
\(80\) | 7.24880 | − | 6.88423i | 0.810440 | − | 0.769680i | ||||
\(81\) | −2.97677 | + | 8.49346i | −0.330752 | + | 0.943718i | ||||
\(82\) | −1.72932 | − | 4.25229i | −0.190971 | − | 0.469586i | ||||
\(83\) | 5.74772 | + | 1.54010i | 0.630895 | + | 0.169048i | 0.560076 | − | 0.828441i | \(-0.310772\pi\) |
0.0708190 | + | 0.997489i | \(0.477439\pi\) | |||||||
\(84\) | −10.7985 | + | 3.28755i | −1.17822 | + | 0.358701i | ||||
\(85\) | −12.9744 | + | 3.47649i | −1.40727 | + | 0.377078i | ||||
\(86\) | 7.04136 | − | 5.33125i | 0.759289 | − | 0.574883i | ||||
\(87\) | 3.66931 | − | 4.02848i | 0.393391 | − | 0.431898i | ||||
\(88\) | 3.04114 | + | 2.42842i | 0.324186 | + | 0.258871i | ||||
\(89\) | − | 6.12376i | − | 0.649118i | −0.945866 | − | 0.324559i | \(-0.894784\pi\) | ||
0.945866 | − | 0.324559i | \(-0.105216\pi\) | |||||||
\(90\) | 2.29016 | + | 10.3530i | 0.241404 | + | 1.09130i | ||||
\(91\) | 12.7129 | + | 12.7129i | 1.33268 | + | 1.33268i | ||||
\(92\) | 1.80962 | − | 6.42122i | 0.188666 | − | 0.669458i | ||||
\(93\) | 1.16276 | + | 1.81318i | 0.120573 | + | 0.188018i | ||||
\(94\) | −0.842224 | + | 6.09347i | −0.0868688 | + | 0.628494i | ||||
\(95\) | −8.32833 | + | 14.4251i | −0.854469 | + | 1.47998i | ||||
\(96\) | 5.85217 | − | 7.85825i | 0.597285 | − | 0.802029i | ||||
\(97\) | −2.21495 | − | 3.83640i | −0.224894 | − | 0.389528i | 0.731394 | − | 0.681956i | \(-0.238870\pi\) |
−0.956288 | + | 0.292428i | \(0.905537\pi\) | |||||||
\(98\) | 4.73971 | − | 1.92755i | 0.478783 | − | 0.194712i | ||||
\(99\) | −3.87037 | + | 1.43498i | −0.388987 | + | 0.144221i | ||||
\(100\) | 1.73939 | + | 1.78484i | 0.173939 | + | 0.178484i | ||||
\(101\) | −4.62330 | + | 17.2544i | −0.460035 | + | 1.71688i | 0.212811 | + | 0.977093i | \(0.431738\pi\) |
−0.672847 | + | 0.739782i | \(0.734929\pi\) | |||||||
\(102\) | −11.9505 | + | 5.52243i | −1.18328 | + | 0.546802i | ||||
\(103\) | −8.73448 | − | 5.04285i | −0.860634 | − | 0.496887i | 0.00359067 | − | 0.999994i | \(-0.498857\pi\) |
−0.864224 | + | 0.503106i | \(0.832190\pi\) | |||||||
\(104\) | −15.4299 | − | 2.33582i | −1.51303 | − | 0.229046i | ||||
\(105\) | −4.28182 | − | 13.4399i | −0.417863 | − | 1.31160i | ||||
\(106\) | −0.0333502 | − | 0.266591i | −0.00323926 | − | 0.0258936i | ||||
\(107\) | 3.59876 | + | 3.59876i | 0.347905 | + | 0.347905i | 0.859329 | − | 0.511423i | \(-0.170882\pi\) |
−0.511423 | + | 0.859329i | \(0.670882\pi\) | |||||||
\(108\) | 3.93929 | + | 9.61676i | 0.379058 | + | 0.925373i | ||||
\(109\) | −7.27011 | + | 7.27011i | −0.696351 | + | 0.696351i | −0.963621 | − | 0.267271i | \(-0.913878\pi\) |
0.267271 | + | 0.963621i | \(0.413878\pi\) | |||||||
\(110\) | −2.98533 | + | 3.83905i | −0.284640 | + | 0.366039i | ||||
\(111\) | 13.6787 | − | 4.35791i | 1.29833 | − | 0.413635i | ||||
\(112\) | −6.80598 | + | 11.1161i | −0.643105 | + | 1.05037i | ||||
\(113\) | 5.81099 | − | 10.0649i | 0.546652 | − | 0.946828i | −0.451849 | − | 0.892094i | \(-0.649236\pi\) |
0.998501 | − | 0.0547341i | \(-0.0174311\pi\) | |||||||
\(114\) | −5.63654 | + | 15.3213i | −0.527910 | + | 1.43497i | ||||
\(115\) | 8.05251 | + | 2.15766i | 0.750900 | + | 0.201203i | ||||
\(116\) | 0.0811335 | − | 6.29153i | 0.00753306 | − | 0.584154i | ||||
\(117\) | 10.5636 | − | 12.7433i | 0.976604 | − | 1.17811i | ||||
\(118\) | −2.98251 | − | 1.25799i | −0.274562 | − | 0.115807i | ||||
\(119\) | 15.1667 | − | 8.75652i | 1.39033 | − | 0.802709i | ||||
\(120\) | 9.91323 | + | 7.18570i | 0.904950 | + | 0.655962i | ||||
\(121\) | 7.88670 | + | 4.55339i | 0.716973 | + | 0.413945i | ||||
\(122\) | −2.03163 | − | 2.68332i | −0.183935 | − | 0.242936i | ||||
\(123\) | 4.73263 | − | 3.03496i | 0.426727 | − | 0.273653i | ||||
\(124\) | 2.39395 | + | 0.674660i | 0.214983 | + | 0.0605863i | ||||
\(125\) | 6.63394 | − | 6.63394i | 0.593358 | − | 0.593358i | ||||
\(126\) | −6.37787 | − | 12.2657i | −0.568186 | − | 1.09272i | ||||
\(127\) | −7.37772 | −0.654667 | −0.327333 | − | 0.944909i | \(-0.606150\pi\) | ||||
−0.327333 | + | 0.944909i | \(0.606150\pi\) | |||||||
\(128\) | −0.969157 | − | 11.2721i | −0.0856622 | − | 0.996324i | ||||
\(129\) | 7.99685 | + | 7.28387i | 0.704083 | + | 0.641309i | ||||
\(130\) | 2.67000 | − | 19.3174i | 0.234175 | − | 1.69425i | ||||
\(131\) | −3.93512 | − | 14.6861i | −0.343813 | − | 1.28313i | −0.893992 | − | 0.448082i | \(-0.852107\pi\) |
0.550179 | − | 0.835047i | \(-0.314560\pi\) | |||||||
\(132\) | −2.24264 | + | 4.20585i | −0.195197 | + | 0.366072i | ||||
\(133\) | 5.62085 | − | 20.9773i | 0.487389 | − | 1.81896i | ||||
\(134\) | 0.0638837 | − | 0.151459i | 0.00551871 | − | 0.0130841i | ||||
\(135\) | −11.9527 | + | 5.07712i | −1.02873 | + | 0.436969i | ||||
\(136\) | −6.08788 | + | 13.9292i | −0.522032 | + | 1.19442i | ||||
\(137\) | 11.5397 | − | 6.66247i | 0.985906 | − | 0.569213i | 0.0818576 | − | 0.996644i | \(-0.473915\pi\) |
0.904048 | + | 0.427431i | \(0.140581\pi\) | |||||||
\(138\) | 8.13708 | + | 0.740249i | 0.692675 | + | 0.0630142i | ||||
\(139\) | −16.2127 | + | 4.34417i | −1.37514 | + | 0.368468i | −0.869354 | − | 0.494191i | \(-0.835465\pi\) |
−0.505787 | + | 0.862658i | \(0.668798\pi\) | |||||||
\(140\) | −13.9993 | − | 8.32500i | −1.18315 | − | 0.703591i | ||||
\(141\) | −7.52571 | + | 0.351138i | −0.633779 | + | 0.0295712i | ||||
\(142\) | 2.78774 | − | 3.58495i | 0.233942 | − | 0.300843i | ||||
\(143\) | 7.59170 | 0.634849 | ||||||||
\(144\) | 10.7731 | + | 5.28583i | 0.897760 | + | 0.440486i | ||||
\(145\) | 7.86261 | 0.652955 | ||||||||
\(146\) | −8.46814 | + | 10.8898i | −0.700828 | + | 0.901245i | ||||
\(147\) | 3.38285 | + | 5.27511i | 0.279012 | + | 0.435084i | ||||
\(148\) | 8.47295 | − | 14.2481i | 0.696472 | − | 1.17118i | ||||
\(149\) | 12.7771 | − | 3.42362i | 1.04674 | − | 0.280474i | 0.305838 | − | 0.952084i | \(-0.401063\pi\) |
0.740905 | + | 0.671610i | \(0.234397\pi\) | |||||||
\(150\) | −1.75937 | + | 2.49425i | −0.143652 | + | 0.203655i | ||||
\(151\) | −10.3438 | + | 5.97202i | −0.841769 | + | 0.485996i | −0.857865 | − | 0.513875i | \(-0.828210\pi\) |
0.0160959 | + | 0.999870i | \(0.494876\pi\) | |||||||
\(152\) | 6.87567 | + | 17.5521i | 0.557691 | + | 1.42366i | ||||
\(153\) | −9.32695 | − | 13.1521i | −0.754039 | − | 1.06328i | ||||
\(154\) | 2.46420 | − | 5.84228i | 0.198571 | − | 0.470784i | ||||
\(155\) | −0.804418 | + | 3.00213i | −0.0646124 | + | 0.241137i | ||||
\(156\) | −0.644553 | − | 19.1021i | −0.0516055 | − | 1.52939i | ||||
\(157\) | −3.88412 | − | 14.4957i | −0.309986 | − | 1.15689i | −0.928567 | − | 0.371164i | \(-0.878959\pi\) |
0.618581 | − | 0.785721i | \(-0.287708\pi\) | |||||||
\(158\) | −0.430566 | + | 3.11514i | −0.0342540 | + | 0.247827i | ||||
\(159\) | 0.313524 | − | 0.0998858i | 0.0248641 | − | 0.00792146i | ||||
\(160\) | 14.0690 | − | 1.39260i | 1.11225 | − | 0.110095i | ||||
\(161\) | −10.8694 | −0.856627 | ||||||||
\(162\) | −10.6967 | + | 6.89784i | −0.840414 | + | 0.541945i | ||||
\(163\) | 16.4303 | − | 16.4303i | 1.28692 | − | 1.28692i | 0.350278 | − | 0.936646i | \(-0.386087\pi\) |
0.936646 | − | 0.350278i | \(-0.113913\pi\) | |||||||
\(164\) | 1.76095 | − | 6.24852i | 0.137507 | − | 0.487927i | ||||
\(165\) | −5.29137 | − | 2.73443i | −0.411933 | − | 0.212875i | ||||
\(166\) | 5.07973 | + | 6.70916i | 0.394263 | + | 0.520732i | ||||
\(167\) | 11.8153 | + | 6.82158i | 0.914297 | + | 0.527870i | 0.881811 | − | 0.471602i | \(-0.156324\pi\) |
0.0324861 | + | 0.999472i | \(0.489658\pi\) | |||||||
\(168\) | −14.9095 | − | 5.70437i | −1.15029 | − | 0.440102i | ||||
\(169\) | −15.1054 | + | 8.72112i | −1.16196 | + | 0.670855i | ||||
\(170\) | −17.5027 | − | 7.38241i | −1.34239 | − | 0.566205i | ||||
\(171\) | −19.7109 | − | 3.35410i | −1.50733 | − | 0.256494i | ||||
\(172\) | 12.4892 | + | 0.161057i | 0.952292 | + | 0.0122805i | ||||
\(173\) | −4.31671 | − | 1.15666i | −0.328193 | − | 0.0879391i | 0.0909602 | − | 0.995855i | \(-0.471006\pi\) |
−0.419153 | + | 0.907915i | \(0.637673\pi\) | |||||||
\(174\) | 7.59366 | − | 1.31192i | 0.575674 | − | 0.0994567i | ||||
\(175\) | 2.03024 | − | 3.51648i | 0.153472 | − | 0.265821i | ||||
\(176\) | 1.28692 | + | 5.35120i | 0.0970050 | + | 0.403362i | ||||
\(177\) | 0.846482 | − | 3.87303i | 0.0636255 | − | 0.291114i | ||||
\(178\) | 5.31625 | − | 6.83655i | 0.398470 | − | 0.512421i | ||||
\(179\) | −17.9090 | + | 17.9090i | −1.33858 | + | 1.33858i | −0.441146 | + | 0.897435i | \(0.645428\pi\) |
−0.897435 | + | 0.441146i | \(0.854572\pi\) | |||||||
\(180\) | −6.43109 | + | 13.5463i | −0.479345 | + | 1.00968i | ||||
\(181\) | 9.03811 | + | 9.03811i | 0.671797 | + | 0.671797i | 0.958130 | − | 0.286333i | \(-0.0924363\pi\) |
−0.286333 | + | 0.958130i | \(0.592436\pi\) | |||||||
\(182\) | 3.15614 | + | 25.2292i | 0.233949 | + | 1.87011i | ||||
\(183\) | 2.77574 | − | 3.04744i | 0.205188 | − | 0.225273i | ||||
\(184\) | 7.59473 | − | 5.59763i | 0.559891 | − | 0.412663i | ||||
\(185\) | 17.9396 | + | 10.3574i | 1.31894 | + | 0.761493i | ||||
\(186\) | −0.275979 | + | 3.03366i | −0.0202358 | + | 0.222439i | ||||
\(187\) | 1.91398 | − | 7.14305i | 0.139964 | − | 0.522352i | ||||
\(188\) | −6.23021 | + | 6.07157i | −0.454385 | + | 0.442815i | ||||
\(189\) | 13.3399 | − | 10.4276i | 0.970334 | − | 0.758495i | ||||
\(190\) | −21.8207 | + | 8.87402i | −1.58304 | + | 0.643789i | ||||
\(191\) | 5.50837 | + | 9.54078i | 0.398572 | + | 0.690346i | 0.993550 | − | 0.113395i | \(-0.0361727\pi\) |
−0.594978 | + | 0.803742i | \(0.702839\pi\) | |||||||
\(192\) | 13.3554 | − | 3.69246i | 0.963840 | − | 0.266480i | ||||
\(193\) | −8.22204 | + | 14.2410i | −0.591836 | + | 1.02509i | 0.402149 | + | 0.915574i | \(0.368263\pi\) |
−0.993985 | + | 0.109515i | \(0.965070\pi\) | |||||||
\(194\) | 0.857753 | − | 6.20582i | 0.0615831 | − | 0.445552i | ||||
\(195\) | 23.8579 | − | 1.11317i | 1.70850 | − | 0.0797158i | ||||
\(196\) | 6.96477 | + | 1.96280i | 0.497484 | + | 0.140200i | ||||
\(197\) | 2.20874 | + | 2.20874i | 0.157366 | + | 0.157366i | 0.781398 | − | 0.624033i | \(-0.214507\pi\) |
−0.624033 | + | 0.781398i | \(0.714507\pi\) | |||||||
\(198\) | −5.56663 | − | 1.75800i | −0.395603 | − | 0.124935i | ||||
\(199\) | 11.9387i | 0.846312i | 0.906057 | + | 0.423156i | \(0.139078\pi\) | ||||
−0.906057 | + | 0.423156i | \(0.860922\pi\) | |||||||
\(200\) | 0.392371 | + | 3.50261i | 0.0277448 | + | 0.247672i | ||||
\(201\) | 0.196682 | + | 0.0429865i | 0.0138729 | + | 0.00303203i | ||||
\(202\) | −20.1406 | + | 15.2491i | −1.41709 | + | 1.07292i | ||||
\(203\) | −9.90212 | + | 2.65326i | −0.694992 | + | 0.186223i | ||||
\(204\) | −18.1358 | − | 4.20946i | −1.26976 | − | 0.294721i | ||||
\(205\) | 7.83594 | + | 2.09963i | 0.547286 | + | 0.146645i | ||||
\(206\) | −5.37327 | − | 13.2125i | −0.374373 | − | 0.920561i | ||||
\(207\) | 0.931794 | + | 9.96353i | 0.0647642 | + | 0.692513i | ||||
\(208\) | −15.1981 | − | 16.0029i | −1.05380 | − | 1.10960i | ||||
\(209\) | −4.58515 | − | 7.94172i | −0.317162 | − | 0.549340i | ||||
\(210\) | 6.88741 | − | 18.7214i | 0.475276 | − | 1.29190i | ||||
\(211\) | −1.55584 | − | 5.80646i | −0.107108 | − | 0.399733i | 0.891468 | − | 0.453084i | \(-0.149676\pi\) |
−0.998576 | + | 0.0533513i | \(0.983010\pi\) | |||||||
\(212\) | 0.194205 | − | 0.326574i | 0.0133380 | − | 0.0224292i | ||||
\(213\) | 4.94115 | + | 2.55344i | 0.338562 | + | 0.174959i | ||||
\(214\) | 0.893437 | + | 7.14186i | 0.0610741 | + | 0.488207i | ||||
\(215\) | 15.6079i | 1.06445i | ||||||||
\(216\) | −3.95083 | + | 14.1560i | −0.268820 | + | 0.963190i | ||||
\(217\) | − | 4.05231i | − | 0.275089i | ||||||
\(218\) | −14.4278 | + | 1.80490i | −0.977172 | + | 0.122243i | ||||
\(219\) | −15.0094 | − | 7.75644i | −1.01424 | − | 0.524131i | ||||
\(220\) | −6.66562 | + | 1.69424i | −0.449396 | + | 0.114225i | ||||
\(221\) | 7.67493 | + | 28.6432i | 0.516271 | + | 1.92675i | ||||
\(222\) | 19.0541 | + | 7.00981i | 1.27883 | + | 0.470468i | ||||
\(223\) | 4.14191 | + | 7.17400i | 0.277363 | + | 0.480407i | 0.970729 | − | 0.240179i | \(-0.0772062\pi\) |
−0.693366 | + | 0.720586i | \(0.743873\pi\) | |||||||
\(224\) | −17.2484 | + | 6.50145i | −1.15246 | + | 0.434396i | ||||
\(225\) | −3.39746 | − | 1.55958i | −0.226497 | − | 0.103972i | ||||
\(226\) | 15.2251 | − | 6.19173i | 1.01276 | − | 0.411868i | ||||
\(227\) | −17.3293 | − | 4.64336i | −1.15018 | − | 0.308191i | −0.367145 | − | 0.930164i | \(-0.619665\pi\) |
−0.783039 | + | 0.621973i | \(0.786331\pi\) | |||||||
\(228\) | −19.5936 | + | 12.2114i | −1.29762 | + | 0.808718i | ||||
\(229\) | −9.17552 | + | 2.45857i | −0.606335 | + | 0.162467i | −0.548908 | − | 0.835883i | \(-0.684956\pi\) |
−0.0574270 | + | 0.998350i | \(0.518290\pi\) | |||||||
\(230\) | 7.11666 | + | 9.39947i | 0.469258 | + | 0.619783i | ||||
\(231\) | 7.58666 | + | 1.65813i | 0.499166 | + | 0.109097i | ||||
\(232\) | 5.55247 | − | 6.95341i | 0.364538 | − | 0.456514i | ||||
\(233\) | − | 6.39614i | − | 0.419025i | −0.977806 | − | 0.209512i | \(-0.932812\pi\) | ||
0.977806 | − | 0.209512i | \(-0.0671877\pi\) | |||||||
\(234\) | 22.8560 | − | 5.05592i | 1.49415 | − | 0.330516i | ||||
\(235\) | −7.68686 | − | 7.68686i | −0.501435 | − | 0.501435i | ||||
\(236\) | −2.23757 | − | 3.99363i | −0.145653 | − | 0.259963i | ||||
\(237\) | −3.84733 | + | 0.179511i | −0.249911 | + | 0.0116605i | ||||
\(238\) | 24.5339 | + | 3.39102i | 1.59030 | + | 0.219807i | ||||
\(239\) | 12.4015 | − | 21.4800i | 0.802187 | − | 1.38943i | −0.115987 | − | 0.993251i | \(-0.537003\pi\) |
0.918174 | − | 0.396178i | \(-0.129664\pi\) | |||||||
\(240\) | 4.82895 | + | 16.6281i | 0.311707 | + | 1.07334i | ||||
\(241\) | 4.32533 | + | 7.49168i | 0.278619 | + | 0.482582i | 0.971042 | − | 0.238910i | \(-0.0767901\pi\) |
−0.692423 | + | 0.721492i | \(0.743457\pi\) | |||||||
\(242\) | 4.85174 | + | 11.9301i | 0.311881 | + | 0.766897i | ||||
\(243\) | −10.7021 | − | 11.3342i | −0.686542 | − | 0.727090i | ||||
\(244\) | 0.0613754 | − | 4.75938i | 0.00392916 | − | 0.304688i | ||||
\(245\) | −2.34031 | + | 8.73415i | −0.149517 | + | 0.558005i | ||||
\(246\) | 7.91824 | + | 0.720340i | 0.504849 | + | 0.0459272i | ||||
\(247\) | 31.8458 | + | 18.3862i | 2.02630 | + | 1.16989i | ||||
\(248\) | 2.08690 | + | 2.83146i | 0.132519 | + | 0.179798i | ||||
\(249\) | −6.94023 | + | 7.61957i | −0.439819 | + | 0.482871i | ||||
\(250\) | 13.1653 | − | 1.64696i | 0.832645 | − | 0.104163i | ||||
\(251\) | −1.34312 | − | 1.34312i | −0.0847772 | − | 0.0847772i | 0.663446 | − | 0.748224i | \(-0.269093\pi\) |
−0.748224 | + | 0.663446i | \(0.769093\pi\) | |||||||
\(252\) | 3.52804 | − | 19.2302i | 0.222245 | − | 1.21139i | ||||
\(253\) | −3.24540 | + | 3.24540i | −0.204037 | + | 0.204037i | ||||
\(254\) | −8.23647 | − | 6.40486i | −0.516802 | − | 0.401876i | ||||
\(255\) | 4.96752 | − | 22.7286i | 0.311078 | − | 1.42332i | ||||
\(256\) | 8.70376 | − | 13.4255i | 0.543985 | − | 0.839095i | ||||
\(257\) | −13.0905 | + | 22.6734i | −0.816563 | + | 1.41433i | 0.0916380 | + | 0.995792i | \(0.470790\pi\) |
−0.908201 | + | 0.418535i | \(0.862544\pi\) | |||||||
\(258\) | 2.60428 | + | 15.0740i | 0.162135 | + | 0.938469i | ||||
\(259\) | −26.0881 | − | 6.99029i | −1.62104 | − | 0.434356i | ||||
\(260\) | 19.7509 | − | 19.2480i | 1.22490 | − | 1.19371i | ||||
\(261\) | 3.28102 | + | 8.84942i | 0.203090 | + | 0.547765i | ||||
\(262\) | 8.35634 | − | 19.8117i | 0.516256 | − | 1.22397i | ||||
\(263\) | 6.75594 | − | 3.90054i | 0.416589 | − | 0.240518i | −0.277028 | − | 0.960862i | \(-0.589349\pi\) |
0.693617 | + | 0.720344i | \(0.256016\pi\) | |||||||
\(264\) | −6.15493 | + | 2.74848i | −0.378809 | + | 0.169157i | ||||
\(265\) | 0.411185 | + | 0.237398i | 0.0252589 | + | 0.0145832i | ||||
\(266\) | 24.4862 | − | 18.5393i | 1.50135 | − | 1.13672i | ||||
\(267\) | 9.42284 | + | 4.86945i | 0.576668 | + | 0.298005i | ||||
\(268\) | 0.202807 | − | 0.113629i | 0.0123884 | − | 0.00694101i | ||||
\(269\) | 4.79063 | − | 4.79063i | 0.292090 | − | 0.292090i | −0.545815 | − | 0.837905i | \(-0.683780\pi\) |
0.837905 | + | 0.545815i | \(0.183780\pi\) | |||||||
\(270\) | −17.7516 | − | 4.70849i | −1.08033 | − | 0.286550i | ||||
\(271\) | −24.8625 | −1.51029 | −0.755144 | − | 0.655559i | \(-0.772433\pi\) | ||||
−0.755144 | + | 0.655559i | \(0.772433\pi\) | |||||||
\(272\) | −18.8889 | + | 10.2654i | −1.14531 | + | 0.622429i | ||||
\(273\) | −29.6708 | + | 9.45283i | −1.79576 | + | 0.572111i | ||||
\(274\) | 18.6668 | + | 2.58008i | 1.12770 | + | 0.155868i | ||||
\(275\) | −0.443764 | − | 1.65615i | −0.0267599 | − | 0.0998695i | ||||
\(276\) | 8.44158 | + | 7.89050i | 0.508123 | + | 0.474952i | ||||
\(277\) | −0.238901 | + | 0.891589i | −0.0143541 | + | 0.0535704i | −0.972731 | − | 0.231934i | \(-0.925495\pi\) |
0.958377 | + | 0.285505i | \(0.0921612\pi\) | |||||||
\(278\) | −21.8711 | − | 9.22496i | −1.31174 | − | 0.553276i | ||||
\(279\) | −3.71459 | + | 0.347390i | −0.222387 | + | 0.0207977i | ||||
\(280\) | −8.40153 | − | 21.4473i | −0.502088 | − | 1.28172i | ||||
\(281\) | −24.6632 | + | 14.2393i | −1.47128 | + | 0.849446i | −0.999480 | − | 0.0322571i | \(-0.989730\pi\) |
−0.471804 | + | 0.881703i | \(0.656397\pi\) | |||||||
\(282\) | −8.70652 | − | 6.14132i | −0.518466 | − | 0.365710i | ||||
\(283\) | 6.41436 | − | 1.71872i | 0.381294 | − | 0.102167i | −0.0630806 | − | 0.998008i | \(-0.520093\pi\) |
0.444375 | + | 0.895841i | \(0.353426\pi\) | |||||||
\(284\) | 6.22444 | − | 1.58210i | 0.369353 | − | 0.0938803i | ||||
\(285\) | −15.5739 | − | 24.2855i | −0.922519 | − | 1.43855i | ||||
\(286\) | 8.47535 | + | 6.59061i | 0.501158 | + | 0.389711i | ||||
\(287\) | −10.5771 | −0.624344 | ||||||||
\(288\) | 7.43827 | + | 15.2536i | 0.438304 | + | 0.898827i | ||||
\(289\) | 11.8855 | 0.699145 | ||||||||
\(290\) | 8.77780 | + | 6.82581i | 0.515450 | + | 0.400825i | ||||
\(291\) | 7.66447 | − | 0.357612i | 0.449299 | − | 0.0209636i | ||||
\(292\) | −18.9076 | + | 4.80585i | −1.10648 | + | 0.281241i | ||||
\(293\) | −9.42116 | + | 2.52439i | −0.550390 | + | 0.147477i | −0.523288 | − | 0.852156i | \(-0.675295\pi\) |
−0.0271023 | + | 0.999633i | \(0.508628\pi\) | |||||||
\(294\) | −0.802911 | + | 8.82589i | −0.0468267 | + | 0.514736i | ||||
\(295\) | 4.95402 | − | 2.86020i | 0.288434 | − | 0.166527i | ||||
\(296\) | 21.8284 | − | 8.55084i | 1.26875 | − | 0.497008i | ||||
\(297\) | 0.869562 | − | 7.09653i | 0.0504571 | − | 0.411783i | ||||
\(298\) | 17.2365 | + | 7.27015i | 0.998484 | + | 0.421148i | ||||
\(299\) | 4.76340 | − | 17.7773i | 0.275475 | − | 1.02809i | ||||
\(300\) | −4.12950 | + | 1.25720i | −0.238417 | + | 0.0725847i | ||||
\(301\) | −5.26694 | − | 19.6565i | −0.303582 | − | 1.13298i | ||||
\(302\) | −16.7323 | − | 2.31270i | −0.962838 | − | 0.133081i | ||||
\(303\) | −22.8736 | − | 20.8342i | −1.31405 | − | 1.19690i | ||||
\(304\) | −7.56159 | + | 25.5641i | −0.433687 | + | 1.46620i | ||||
\(305\) | 5.94786 | 0.340574 | ||||||||
\(306\) | 1.00520 | − | 22.7800i | 0.0574636 | − | 1.30225i | ||||
\(307\) | −4.55233 | + | 4.55233i | −0.259815 | + | 0.259815i | −0.824979 | − | 0.565164i | \(-0.808813\pi\) |
0.565164 | + | 0.824979i | \(0.308813\pi\) | |||||||
\(308\) | 7.82291 | − | 4.38305i | 0.445752 | − | 0.249747i | ||||
\(309\) | 14.7050 | − | 9.43010i | 0.836540 | − | 0.536459i | ||||
\(310\) | −3.50430 | + | 2.65322i | −0.199031 | + | 0.150693i | ||||
\(311\) | −5.56997 | − | 3.21582i | −0.315844 | − | 0.182353i | 0.333695 | − | 0.942681i | \(-0.391705\pi\) |
−0.649539 | + | 0.760329i | \(0.725038\pi\) | |||||||
\(312\) | 15.8636 | − | 21.8851i | 0.898102 | − | 1.23900i | ||||
\(313\) | −2.90181 | + | 1.67536i | −0.164020 | + | 0.0946969i | −0.579763 | − | 0.814785i | \(-0.696855\pi\) |
0.415743 | + | 0.909482i | \(0.363522\pi\) | |||||||
\(314\) | 8.24803 | − | 19.5549i | 0.465463 | − | 1.10355i | ||||
\(315\) | 24.0852 | + | 4.09844i | 1.35705 | + | 0.230921i | ||||
\(316\) | −3.18504 | + | 3.10394i | −0.179173 | + | 0.174610i | ||||
\(317\) | −14.6346 | − | 3.92134i | −0.821963 | − | 0.220244i | −0.176758 | − | 0.984254i | \(-0.556561\pi\) |
−0.645204 | + | 0.764010i | \(0.723228\pi\) | |||||||
\(318\) | 0.436731 | + | 0.160669i | 0.0244907 | + | 0.00900985i | ||||
\(319\) | −2.16438 | + | 3.74881i | −0.121182 | + | 0.209893i | ||||
\(320\) | 16.9155 | + | 10.6591i | 0.945607 | + | 0.595860i | ||||
\(321\) | −8.39917 | + | 2.67590i | −0.468796 | + | 0.149354i | ||||
\(322\) | −12.1345 | − | 9.43609i | −0.676232 | − | 0.525853i | ||||
\(323\) | 25.3284 | − | 25.3284i | 1.40931 | − | 1.40931i | ||||
\(324\) | −17.9300 | − | 1.58547i | −0.996113 | − | 0.0880816i | ||||
\(325\) | 4.86159 | + | 4.86159i | 0.269672 | + | 0.269672i | ||||
\(326\) | 32.6065 | − | 4.07904i | 1.80591 | − | 0.225917i | ||||
\(327\) | −5.40577 | − | 16.9678i | −0.298940 | − | 0.938319i | ||||
\(328\) | 7.39048 | − | 5.44709i | 0.408071 | − | 0.300765i | ||||
\(329\) | 12.2747 | + | 7.08682i | 0.676728 | + | 0.390709i | ||||
\(330\) | −3.53342 | − | 7.64633i | −0.194509 | − | 0.420917i | ||||
\(331\) | −2.68206 | + | 10.0096i | −0.147420 | + | 0.550177i | 0.852216 | + | 0.523190i | \(0.175258\pi\) |
−0.999636 | + | 0.0269876i | \(0.991409\pi\) | |||||||
\(332\) | −0.153458 | + | 11.9000i | −0.00842212 | + | 0.653096i | ||||
\(333\) | −4.17128 | + | 24.5132i | −0.228585 | + | 1.34331i | ||||
\(334\) | 7.26854 | + | 17.8729i | 0.397717 | + | 0.977961i | ||||
\(335\) | 0.145248 | + | 0.251578i | 0.00793577 | + | 0.0137452i | ||||
\(336\) | −11.6928 | − | 19.3118i | −0.637892 | − | 1.05354i | ||||
\(337\) | 6.52225 | − | 11.2969i | 0.355289 | − | 0.615379i | −0.631878 | − | 0.775068i | \(-0.717716\pi\) |
0.987167 | + | 0.159689i | \(0.0510490\pi\) | |||||||
\(338\) | −24.4348 | − | 3.37731i | −1.32908 | − | 0.183701i | ||||
\(339\) | 10.8665 | + | 16.9449i | 0.590187 | + | 0.920321i | ||||
\(340\) | −13.1310 | − | 23.4364i | −0.712129 | − | 1.27102i | ||||
\(341\) | −1.20995 | − | 1.20995i | −0.0655223 | − | 0.0655223i | ||||
\(342\) | −19.0934 | − | 20.8562i | −1.03245 | − | 1.12777i | ||||
\(343\) | 11.0203i | 0.595038i | ||||||||
\(344\) | 13.8031 | + | 11.0221i | 0.744212 | + | 0.594272i | ||||
\(345\) | −9.72320 | + | 10.6750i | −0.523480 | + | 0.574720i | ||||
\(346\) | −3.81503 | − | 5.03877i | −0.205097 | − | 0.270886i | ||||
\(347\) | 23.5314 | − | 6.30523i | 1.26323 | − | 0.338482i | 0.435798 | − | 0.900044i | \(-0.356466\pi\) |
0.827435 | + | 0.561562i | \(0.189799\pi\) | |||||||
\(348\) | 9.61647 | + | 5.12769i | 0.515497 | + | 0.274873i | ||||
\(349\) | 27.7772 | + | 7.44289i | 1.48688 | + | 0.398409i | 0.908683 | − | 0.417487i | \(-0.137089\pi\) |
0.578199 | + | 0.815896i | \(0.303756\pi\) | |||||||
\(350\) | 5.31933 | − | 2.16326i | 0.284330 | − | 0.115631i | ||||
\(351\) | 11.2086 | + | 26.3876i | 0.598271 | + | 1.40847i | ||||
\(352\) | −3.20885 | + | 7.09128i | −0.171032 | + | 0.377967i | ||||
\(353\) | 17.6048 | + | 30.4924i | 0.937010 | + | 1.62295i | 0.771011 | + | 0.636822i | \(0.219752\pi\) |
0.165999 | + | 0.986126i | \(0.446915\pi\) | |||||||
\(354\) | 4.30732 | − | 3.58897i | 0.228931 | − | 0.190752i | ||||
\(355\) | 2.07714 | + | 7.75199i | 0.110243 | + | 0.411433i | ||||
\(356\) | 11.8701 | − | 3.01708i | 0.629114 | − | 0.159905i | ||||
\(357\) | 1.41378 | + | 30.3005i | 0.0748249 | + | 1.60367i | ||||
\(358\) | −35.5410 | + | 4.44613i | −1.87840 | + | 0.234985i | ||||
\(359\) | − | 17.6127i | − | 0.929564i | −0.885425 | − | 0.464782i | \(-0.846133\pi\) | ||
0.885425 | − | 0.464782i | \(-0.153867\pi\) | |||||||
\(360\) | −18.9396 | + | 9.53995i | −0.998205 | + | 0.502799i | ||||
\(361\) | − | 25.4188i | − | 1.33783i | ||||||
\(362\) | 2.24382 | + | 17.9364i | 0.117933 | + | 0.942717i | ||||
\(363\) | −13.2777 | + | 8.51480i | −0.696901 | + | 0.446911i | ||||
\(364\) | −18.3788 | + | 30.9058i | −0.963312 | + | 1.61990i | ||||
\(365\) | −6.30960 | − | 23.5477i | −0.330259 | − | 1.23255i | ||||
\(366\) | 5.74441 | − | 0.992436i | 0.300265 | − | 0.0518755i | ||||
\(367\) | −8.31959 | − | 14.4100i | −0.434279 | − | 0.752193i | 0.562957 | − | 0.826486i | \(-0.309663\pi\) |
−0.997236 | + | 0.0742925i | \(0.976330\pi\) | |||||||
\(368\) | 13.3382 | + | 0.344068i | 0.695304 | + | 0.0179358i | ||||
\(369\) | 0.906734 | + | 9.69556i | 0.0472027 | + | 0.504731i | ||||
\(370\) | 11.0361 | + | 27.1370i | 0.573737 | + | 1.41078i | ||||
\(371\) | −0.597954 | − | 0.160221i | −0.0310442 | − | 0.00831828i | ||||
\(372\) | −2.94173 | + | 3.14718i | −0.152521 | + | 0.163174i | ||||
\(373\) | −3.22714 | + | 0.864710i | −0.167095 | + | 0.0447730i | −0.341397 | − | 0.939919i | \(-0.610900\pi\) |
0.174302 | + | 0.984692i | \(0.444233\pi\) | |||||||
\(374\) | 8.33789 | − | 6.31290i | 0.431142 | − | 0.326432i | ||||
\(375\) | 4.93274 | + | 15.4830i | 0.254726 | + | 0.799539i | ||||
\(376\) | −12.2263 | + | 1.36962i | −0.630525 | + | 0.0706329i | ||||
\(377\) | − | 17.3580i | − | 0.893984i | ||||||
\(378\) | 23.9451 | − | 0.0605024i | 1.23161 | − | 0.00311191i | ||||
\(379\) | −10.2384 | − | 10.2384i | −0.525910 | − | 0.525910i | 0.393440 | − | 0.919350i | \(-0.371285\pi\) |
−0.919350 | + | 0.393440i | \(0.871285\pi\) | |||||||
\(380\) | −32.0644 | − | 9.03633i | −1.64487 | − | 0.463554i | ||||
\(381\) | 5.86656 | − | 11.3523i | 0.300553 | − | 0.581598i | ||||
\(382\) | −2.13315 | + | 15.4333i | −0.109142 | + | 0.789637i | ||||
\(383\) | 5.44755 | − | 9.43544i | 0.278357 | − | 0.482128i | −0.692620 | − | 0.721303i | \(-0.743544\pi\) |
0.970977 | + | 0.239175i | \(0.0768769\pi\) | |||||||
\(384\) | 18.1154 | + | 7.47201i | 0.924450 | + | 0.381304i | ||||
\(385\) | 5.60270 | + | 9.70416i | 0.285540 | + | 0.494570i | ||||
\(386\) | −21.5422 | + | 8.76077i | −1.09647 | + | 0.445911i | ||||
\(387\) | −17.5668 | + | 6.51308i | −0.892971 | + | 0.331079i | ||||
\(388\) | 6.34508 | − | 6.18352i | 0.322123 | − | 0.313921i | ||||
\(389\) | 3.72849 | − | 13.9149i | 0.189042 | − | 0.705513i | −0.804687 | − | 0.593699i | \(-0.797667\pi\) |
0.993729 | − | 0.111815i | \(-0.0356663\pi\) | |||||||
\(390\) | 27.6012 | + | 19.4691i | 1.39764 | + | 0.985856i | ||||
\(391\) | −15.5258 | − | 8.96381i | −0.785172 | − | 0.453319i | ||||
\(392\) | 6.07147 | + | 8.23763i | 0.306656 | + | 0.416063i | ||||
\(393\) | 25.7271 | + | 5.62287i | 1.29776 | + | 0.283636i | ||||
\(394\) | 0.548346 | + | 4.38330i | 0.0276253 | + | 0.220828i | ||||
\(395\) | −3.92972 | − | 3.92972i | −0.197725 | − | 0.197725i | ||||
\(396\) | −4.68839 | − | 6.79521i | −0.235601 | − | 0.341472i | ||||
\(397\) | 15.4247 | − | 15.4247i | 0.774145 | − | 0.774145i | −0.204683 | − | 0.978828i | \(-0.565616\pi\) |
0.978828 | + | 0.204683i | \(0.0656165\pi\) | |||||||
\(398\) | −10.3644 | + | 13.3283i | −0.519520 | + | 0.668089i | ||||
\(399\) | 27.8089 | + | 25.3295i | 1.39219 | + | 1.26806i | ||||
\(400\) | −2.60270 | + | 4.25093i | −0.130135 | + | 0.212547i | ||||
\(401\) | −3.21720 | + | 5.57235i | −0.160659 | + | 0.278270i | −0.935105 | − | 0.354370i | \(-0.884695\pi\) |
0.774446 | + | 0.632640i | \(0.218029\pi\) | |||||||
\(402\) | 0.182257 | + | 0.218736i | 0.00909016 | + | 0.0109096i | ||||
\(403\) | 6.62770 | + | 1.77589i | 0.330149 | + | 0.0884633i | ||||
\(404\) | −35.7231 | − | 0.460674i | −1.77729 | − | 0.0229194i | ||||
\(405\) | 1.69214 | − | 22.4292i | 0.0840832 | − | 1.11452i | ||||
\(406\) | −13.3581 | − | 5.63428i | −0.662951 | − | 0.279624i | ||||
\(407\) | −9.87661 | + | 5.70227i | −0.489566 | + | 0.282651i | ||||
\(408\) | −16.5923 | − | 20.4437i | −0.821443 | − | 1.01211i | ||||
\(409\) | 31.8642 | + | 18.3968i | 1.57558 | + | 0.909663i | 0.995465 | + | 0.0951294i | \(0.0303265\pi\) |
0.580117 | + | 0.814533i | \(0.303007\pi\) | |||||||
\(410\) | 6.92526 | + | 9.14668i | 0.342014 | + | 0.451722i | ||||
\(411\) | 1.07568 | + | 23.0544i | 0.0530594 | + | 1.13719i | ||||
\(412\) | 5.47155 | − | 19.4152i | 0.269564 | − | 0.956516i | ||||
\(413\) | −5.27387 | + | 5.27387i | −0.259510 | + | 0.259510i | ||||
\(414\) | −7.60943 | + | 11.9322i | −0.373983 | + | 0.586434i | ||||
\(415\) | −14.8716 | −0.730017 | ||||||||
\(416\) | −3.07439 | − | 31.0596i | −0.150735 | − | 1.52282i | ||||
\(417\) | 6.20735 | − | 28.4013i | 0.303975 | − | 1.39082i | ||||
\(418\) | 1.77563 | − | 12.8466i | 0.0868489 | − | 0.628350i | ||||
\(419\) | −5.78093 | − | 21.5747i | −0.282417 | − | 1.05399i | −0.950706 | − | 0.310093i | \(-0.899640\pi\) |
0.668290 | − | 0.743901i | \(-0.267027\pi\) | |||||||
\(420\) | 23.9418 | − | 14.9213i | 1.16824 | − | 0.728087i | ||||
\(421\) | 2.33477 | − | 8.71347i | 0.113790 | − | 0.424669i | −0.885404 | − | 0.464822i | \(-0.846118\pi\) |
0.999194 | + | 0.0401539i | \(0.0127848\pi\) | |||||||
\(422\) | 3.30386 | − | 7.83299i | 0.160829 | − | 0.381304i | ||||
\(423\) | 5.44393 | − | 11.8593i | 0.264693 | − | 0.576618i | ||||
\(424\) | 0.500319 | − | 0.195990i | 0.0242977 | − | 0.00951812i | ||||
\(425\) | 5.79996 | − | 3.34861i | 0.281340 | − | 0.162431i | ||||
\(426\) | 3.29955 | + | 7.14024i | 0.159864 | + | 0.345946i | ||||
\(427\) | −7.49070 | + | 2.00713i | −0.362500 | + | 0.0971316i | ||||
\(428\) | −5.20266 | + | 8.74877i | −0.251480 | + | 0.422888i | ||||
\(429\) | −6.03671 | + | 11.6816i | −0.291455 | + | 0.563993i | ||||
\(430\) | −13.5498 | + | 17.4246i | −0.653428 | + | 0.840291i | ||||
\(431\) | −2.82883 | −0.136260 | −0.0681299 | − | 0.997676i | \(-0.521703\pi\) | ||||
−0.0681299 | + | 0.997676i | \(0.521703\pi\) | |||||||
\(432\) | −16.7000 | + | 12.3738i | −0.803477 | + | 0.595335i | ||||
\(433\) | −9.90919 | −0.476205 | −0.238103 | − | 0.971240i | \(-0.576525\pi\) | ||||
−0.238103 | + | 0.971240i | \(0.576525\pi\) | |||||||
\(434\) | 3.51795 | − | 4.52399i | 0.168867 | − | 0.217158i | ||||
\(435\) | −6.25214 | + | 12.0985i | −0.299767 | + | 0.580077i | ||||
\(436\) | −17.6740 | − | 10.5103i | −0.846432 | − | 0.503351i | ||||
\(437\) | −21.4739 | + | 5.75390i | −1.02723 | + | 0.275246i | ||||
\(438\) | −10.0229 | − | 21.6895i | −0.478910 | − | 1.03636i | ||||
\(439\) | 5.53112 | − | 3.19339i | 0.263986 | − | 0.152412i | −0.362166 | − | 0.932114i | \(-0.617963\pi\) |
0.626151 | + | 0.779701i | \(0.284629\pi\) | |||||||
\(440\) | −8.91231 | − | 3.89522i | −0.424878 | − | 0.185697i | ||||
\(441\) | −10.8069 | + | 1.01067i | −0.514616 | + | 0.0481272i | ||||
\(442\) | −16.2979 | + | 38.6401i | −0.775212 | + | 1.83792i | ||||
\(443\) | −4.33005 | + | 16.1600i | −0.205727 | + | 0.767783i | 0.783500 | + | 0.621392i | \(0.213432\pi\) |
−0.989227 | + | 0.146391i | \(0.953234\pi\) | |||||||
\(444\) | 15.1865 | + | 24.3673i | 0.720720 | + | 1.15642i | ||||
\(445\) | 3.96113 | + | 14.7831i | 0.187776 | + | 0.700788i | ||||
\(446\) | −1.60398 | + | 11.6048i | −0.0759507 | + | 0.549502i | ||||
\(447\) | −4.89198 | + | 22.3830i | −0.231383 | + | 1.05868i | ||||
\(448\) | −24.9002 | − | 7.71576i | −1.17643 | − | 0.364535i | ||||
\(449\) | −23.7209 | −1.11946 | −0.559729 | − | 0.828676i | \(-0.689095\pi\) | ||||
−0.559729 | + | 0.828676i | \(0.689095\pi\) | |||||||
\(450\) | −2.43898 | − | 4.69056i | −0.114975 | − | 0.221115i | ||||
\(451\) | −3.15812 | + | 3.15812i | −0.148710 | + | 0.148710i | ||||
\(452\) | 22.3725 | + | 6.30498i | 1.05231 | + | 0.296562i | ||||
\(453\) | −0.964205 | − | 20.6652i | −0.0453023 | − | 0.970935i | ||||
\(454\) | −15.3153 | − | 20.2280i | −0.718781 | − | 0.949346i | ||||
\(455\) | −38.9131 | − | 22.4665i | −1.82427 | − | 1.05324i | ||||
\(456\) | −32.4753 | − | 3.37711i | −1.52080 | − | 0.158148i | ||||
\(457\) | −25.8782 | + | 14.9408i | −1.21053 | + | 0.698901i | −0.962875 | − | 0.269946i | \(-0.912994\pi\) |
−0.247657 | + | 0.968848i | \(0.579661\pi\) | |||||||
\(458\) | −12.3779 | − | 5.22084i | −0.578381 | − | 0.243954i | ||||
\(459\) | 27.6541 | − | 3.89351i | 1.29078 | − | 0.181733i | ||||
\(460\) | −0.214994 | + | 16.6718i | −0.0100241 | + | 0.777325i | ||||
\(461\) | 26.9785 | + | 7.22887i | 1.25651 | + | 0.336682i | 0.824850 | − | 0.565352i | \(-0.191260\pi\) |
0.431665 | + | 0.902034i | \(0.357926\pi\) | |||||||
\(462\) | 7.03025 | + | 8.43737i | 0.327077 | + | 0.392542i | ||||
\(463\) | 9.00954 | − | 15.6050i | 0.418709 | − | 0.725225i | −0.577101 | − | 0.816673i | \(-0.695816\pi\) |
0.995810 | + | 0.0914480i | \(0.0291495\pi\) | |||||||
\(464\) | 12.2353 | − | 2.94247i | 0.568008 | − | 0.136601i | ||||
\(465\) | −3.97982 | − | 3.62500i | −0.184560 | − | 0.168105i | ||||
\(466\) | 5.55271 | − | 7.14063i | 0.257224 | − | 0.330783i | ||||
\(467\) | 3.24566 | − | 3.24566i | 0.150191 | − | 0.150191i | −0.628012 | − | 0.778204i | \(-0.716131\pi\) |
0.778204 | + | 0.628012i | \(0.216131\pi\) | |||||||
\(468\) | 29.9056 | + | 14.1977i | 1.38239 | + | 0.656289i | ||||
\(469\) | −0.267820 | − | 0.267820i | −0.0123668 | − | 0.0123668i | ||||
\(470\) | −1.90836 | − | 15.2548i | −0.0880260 | − | 0.703652i | ||||
\(471\) | 25.3936 | + | 5.54998i | 1.17008 | + | 0.255730i | ||||
\(472\) | 0.969000 | − | 6.40099i | 0.0446019 | − | 0.294629i | ||||
\(473\) | −7.44169 | − | 4.29646i | −0.342169 | − | 0.197552i | ||||
\(474\) | −4.45099 | − | 3.13960i | −0.204441 | − | 0.144207i | ||||
\(475\) | 2.14949 | − | 8.02199i | 0.0986252 | − | 0.368074i | ||||
\(476\) | 24.4458 | + | 25.0845i | 1.12047 | + | 1.14975i | ||||
\(477\) | −0.0956080 | + | 0.561856i | −0.00437759 | + | 0.0257256i | ||||
\(478\) | 32.4926 | − | 13.2141i | 1.48618 | − | 0.604398i | ||||
\(479\) | −1.27156 | − | 2.20241i | −0.0580991 | − | 0.100631i | 0.835513 | − | 0.549471i | \(-0.185171\pi\) |
−0.893612 | + | 0.448840i | \(0.851837\pi\) | |||||||
\(480\) | −9.04443 | + | 22.7558i | −0.412820 | + | 1.03865i | ||||
\(481\) | 22.8657 | − | 39.6046i | 1.04259 | − | 1.80582i | ||||
\(482\) | −1.67501 | + | 12.1187i | −0.0762946 | + | 0.551990i | ||||
\(483\) | 8.64304 | − | 16.7251i | 0.393272 | − | 0.761018i | ||||
\(484\) | −4.94048 | + | 17.5307i | −0.224567 | + | 0.796850i | ||||
\(485\) | 7.82859 | + | 7.82859i | 0.355478 | + | 0.355478i | ||||
\(486\) | −2.10819 | − | 21.9444i | −0.0956296 | − | 0.995417i | ||||
\(487\) | − | 26.4554i | − | 1.19881i | −0.800447 | − | 0.599404i | \(-0.795404\pi\) | ||
0.800447 | − | 0.599404i | \(-0.204596\pi\) | |||||||
\(488\) | 4.20030 | − | 5.26007i | 0.190139 | − | 0.238112i | ||||
\(489\) | 12.2170 | + | 38.3469i | 0.552470 | + | 1.73411i | ||||
\(490\) | −10.1951 | + | 7.71908i | −0.460569 | + | 0.348712i | ||||
\(491\) | −21.9322 | + | 5.87672i | −0.989787 | + | 0.265213i | −0.717161 | − | 0.696907i | \(-0.754559\pi\) |
−0.272626 | + | 0.962120i | \(0.587892\pi\) | |||||||
\(492\) | 8.21455 | + | 7.67828i | 0.370340 | + | 0.346164i | ||||
\(493\) | −16.3322 | − | 4.37621i | −0.735567 | − | 0.197095i | ||||
\(494\) | 19.5909 | + | 48.1727i | 0.881436 | + | 2.16739i | ||||
\(495\) | 8.41511 | − | 5.96767i | 0.378231 | − | 0.268227i | ||||
\(496\) | −0.128275 | + | 4.97275i | −0.00575973 | + | 0.223283i | ||||
\(497\) | −5.23187 | − | 9.06186i | −0.234681 | − | 0.406480i | ||||
\(498\) | −14.3629 | + | 2.48141i | −0.643616 | + | 0.111195i | ||||
\(499\) | 7.34516 | + | 27.4125i | 0.328815 | + | 1.22715i | 0.910421 | + | 0.413683i | \(0.135758\pi\) |
−0.581606 | + | 0.813470i | \(0.697576\pi\) | |||||||
\(500\) | 16.1274 | + | 9.59057i | 0.721241 | + | 0.428903i | ||||
\(501\) | −19.8918 | + | 12.7563i | −0.888701 | + | 0.569910i | ||||
\(502\) | −0.333447 | − | 2.66547i | −0.0148825 | − | 0.118966i | ||||
\(503\) | 32.0583i | 1.42941i | 0.699427 | + | 0.714704i | \(0.253439\pi\) | ||||
−0.699427 | + | 0.714704i | \(0.746561\pi\) | |||||||
\(504\) | 20.6331 | − | 18.4058i | 0.919072 | − | 0.819858i | ||||
\(505\) | − | 44.6437i | − | 1.98662i | ||||||
\(506\) | −6.44060 | + | 0.805711i | −0.286320 | + | 0.0358182i | ||||
\(507\) | −1.40806 | − | 30.1780i | −0.0625341 | − | 1.34025i | ||||
\(508\) | −3.63489 | − | 14.3007i | −0.161272 | − | 0.634492i | ||||
\(509\) | 7.15242 | + | 26.6932i | 0.317025 | + | 1.18316i | 0.922089 | + | 0.386978i | \(0.126481\pi\) |
−0.605064 | + | 0.796177i | \(0.706852\pi\) | |||||||
\(510\) | 25.2772 | − | 21.0617i | 1.11929 | − | 0.932626i | ||||
\(511\) | 15.8925 | + | 27.5267i | 0.703044 | + | 1.21771i | ||||
\(512\) | 21.3720 | − | 7.43218i | 0.944518 | − | 0.328459i | ||||
\(513\) | 20.8346 | − | 27.6627i | 0.919871 | − | 1.22134i | ||||
\(514\) | −34.2977 | + | 13.9482i | −1.51281 | + | 0.615229i | ||||
\(515\) | 24.3475 | + | 6.52390i | 1.07288 | + | 0.287477i | ||||
\(516\) | −10.1789 | + | 19.0895i | −0.448101 | + | 0.840367i | ||||
\(517\) | 5.78101 | − | 1.54902i | 0.254248 | − | 0.0681256i | ||||
\(518\) | −23.0562 | − | 30.4519i | −1.01303 | − | 1.33798i | ||||
\(519\) | 5.21232 | − | 5.72252i | 0.228795 | − | 0.251191i | ||||
\(520\) | 38.7597 | − | 4.34195i | 1.69972 | − | 0.190407i | ||||
\(521\) | − | 6.90291i | − | 0.302422i | −0.988502 | − | 0.151211i | \(-0.951683\pi\) | ||
0.988502 | − | 0.151211i | \(-0.0483173\pi\) | |||||||
\(522\) | −4.01957 | + | 12.7278i | −0.175932 | + | 0.557082i | ||||
\(523\) | 14.2754 | + | 14.2754i | 0.624219 | + | 0.624219i | 0.946607 | − | 0.322389i | \(-0.104486\pi\) |
−0.322389 | + | 0.946607i | \(0.604486\pi\) | |||||||
\(524\) | 26.5282 | − | 14.8633i | 1.15889 | − | 0.649307i | ||||
\(525\) | 3.79653 | + | 5.92020i | 0.165694 | + | 0.258379i | ||||
\(526\) | 10.9285 | + | 1.51051i | 0.476505 | + | 0.0658613i | ||||
\(527\) | 3.34188 | − | 5.78830i | 0.145574 | − | 0.252142i | ||||
\(528\) | −9.25739 | − | 2.27491i | −0.402876 | − | 0.0990026i | ||||
\(529\) | −5.93666 | − | 10.2826i | −0.258116 | − | 0.447069i | ||||
\(530\) | 0.252953 | + | 0.621994i | 0.0109876 | + | 0.0270177i | ||||
\(531\) | 5.28645 | + | 4.38223i | 0.229413 | + | 0.190173i | ||||
\(532\) | 43.4310 | + | 0.560072i | 1.88297 | + | 0.0242822i | ||||
\(533\) | 4.63529 | − | 17.2992i | 0.200777 | − | 0.749310i | ||||
\(534\) | 6.29229 | + | 13.6165i | 0.272294 | + | 0.589245i | ||||
\(535\) | −11.0155 | − | 6.35979i | −0.476241 | − | 0.274958i | ||||
\(536\) | 0.325058 | + | 0.0492083i | 0.0140404 | + | 0.00212547i | ||||
\(537\) | −13.3164 | − | 41.7979i | −0.574646 | − | 1.80371i | ||||
\(538\) | 9.50716 | − | 1.18933i | 0.409883 | − | 0.0512758i | ||||
\(539\) | −3.52012 | − | 3.52012i | −0.151622 | − | 0.151622i | ||||
\(540\) | −15.7302 | − | 20.6673i | −0.676922 | − | 0.889381i | ||||
\(541\) | −15.3215 | + | 15.3215i | −0.658723 | + | 0.658723i | −0.955078 | − | 0.296355i | \(-0.904229\pi\) |
0.296355 | + | 0.955078i | \(0.404229\pi\) | |||||||
\(542\) | −27.7564 | − | 21.5840i | −1.19224 | − | 0.927111i | ||||
\(543\) | −21.0941 | + | 6.72038i | −0.905234 | + | 0.288399i | ||||
\(544\) | −29.9992 | − | 4.93787i | −1.28621 | − | 0.211709i | ||||
\(545\) | 12.8479 | − | 22.2532i | 0.550342 | − | 0.953220i | ||||
\(546\) | −41.3307 | − | 15.2051i | −1.76879 | − | 0.650718i | ||||
\(547\) | 4.09038 | + | 1.09601i | 0.174892 | + | 0.0468622i | 0.345202 | − | 0.938528i | \(-0.387810\pi\) |
−0.170310 | + | 0.985390i | \(0.554477\pi\) | |||||||
\(548\) | 18.5997 | + | 19.0857i | 0.794542 | + | 0.815302i | ||||
\(549\) | 2.48200 | + | 6.69436i | 0.105929 | + | 0.285708i | ||||
\(550\) | 0.942343 | − | 2.23417i | 0.0401816 | − | 0.0952651i | ||||
\(551\) | −18.1584 | + | 10.4837i | −0.773572 | + | 0.446622i | ||||
\(552\) | 2.57414 | + | 16.1374i | 0.109563 | + | 0.686851i | ||||
\(553\) | 6.27515 | + | 3.62296i | 0.266847 | + | 0.154064i | ||||
\(554\) | −1.04073 | + | 0.787970i | −0.0442163 | + | 0.0334776i | ||||
\(555\) | −30.2024 | + | 19.3683i | −1.28202 | + | 0.822138i | ||||
\(556\) | −16.4083 | − | 29.2858i | −0.695868 | − | 1.24199i | ||||
\(557\) | 3.77104 | − | 3.77104i | 0.159784 | − | 0.159784i | −0.622687 | − | 0.782471i | \(-0.713959\pi\) |
0.782471 | + | 0.622687i | \(0.213959\pi\) | |||||||
\(558\) | −4.44854 | − | 2.83694i | −0.188322 | − | 0.120097i | ||||
\(559\) | 34.4571 | 1.45738 | ||||||||
\(560\) | 9.23967 | − | 31.2373i | 0.390447 | − | 1.32002i | ||||
\(561\) | 9.46931 | + | 8.62506i | 0.399795 | + | 0.364150i | ||||
\(562\) | −39.8956 | − | 5.51426i | −1.68289 | − | 0.232605i | ||||
\(563\) | 4.72321 | + | 17.6273i | 0.199060 | + | 0.742901i | 0.991178 | + | 0.132534i | \(0.0423114\pi\) |
−0.792119 | + | 0.610367i | \(0.791022\pi\) | |||||||
\(564\) | −4.38844 | − | 14.4146i | −0.184787 | − | 0.606963i | ||||
\(565\) | −7.51763 | + | 28.0562i | −0.316269 | + | 1.18033i | ||||
\(566\) | 8.65306 | + | 3.64975i | 0.363715 | + | 0.153411i | ||||
\(567\) | 5.43775 | + | 28.8182i | 0.228364 | + | 1.21025i | ||||
\(568\) | 8.32242 | + | 3.63740i | 0.349201 | + | 0.152622i | ||||
\(569\) | −10.5687 | + | 6.10184i | −0.443062 | + | 0.255802i | −0.704896 | − | 0.709311i | \(-0.749006\pi\) |
0.261833 | + | 0.965113i | \(0.415673\pi\) | |||||||
\(570\) | 3.69643 | − | 40.6325i | 0.154827 | − | 1.70191i | ||||
\(571\) | 10.1445 | − | 2.71820i | 0.424533 | − | 0.113753i | −0.0402258 | − | 0.999191i | \(-0.512808\pi\) |
0.464759 | + | 0.885437i | \(0.346141\pi\) | |||||||
\(572\) | 3.74031 | + | 14.7155i | 0.156390 | + | 0.615285i | ||||
\(573\) | −19.0608 | + | 0.889348i | −0.796277 | + | 0.0371531i | ||||
\(574\) | −11.8082 | − | 9.18231i | −0.492864 | − | 0.383262i | ||||
\(575\) | −4.15660 | −0.173342 | ||||||||
\(576\) | −4.93812 | + | 23.4865i | −0.205755 | + | 0.978604i | ||||
\(577\) | −11.0011 | −0.457982 | −0.228991 | − | 0.973429i | \(-0.573543\pi\) | ||||
−0.228991 | + | 0.973429i | \(0.573543\pi\) | |||||||
\(578\) | 13.2689 | + | 10.3182i | 0.551914 | + | 0.429180i | ||||
\(579\) | −15.3752 | − | 23.9756i | −0.638970 | − | 0.996391i | ||||
\(580\) | 3.87379 | + | 15.2406i | 0.160850 | + | 0.632832i | ||||
\(581\) | 18.7291 | − | 5.01846i | 0.777016 | − | 0.208201i | ||||
\(582\) | 8.86705 | + | 6.25455i | 0.367551 | + | 0.259260i | ||||
\(583\) | −0.226378 | + | 0.130699i | −0.00937560 | + | 0.00541300i | ||||
\(584\) | −25.2805 | − | 11.0491i | −1.04612 | − | 0.457216i | ||||
\(585\) | −17.2582 | + | 37.5960i | −0.713540 | + | 1.55440i | ||||
\(586\) | −12.7093 | − | 5.36061i | −0.525015 | − | 0.221445i | ||||
\(587\) | −4.43586 | + | 16.5549i | −0.183088 | + | 0.683292i | 0.811944 | + | 0.583735i | \(0.198409\pi\) |
−0.995032 | + | 0.0995570i | \(0.968257\pi\) | |||||||
\(588\) | −8.55843 | + | 9.15616i | −0.352944 | + | 0.377594i | ||||
\(589\) | −2.14516 | − | 8.00586i | −0.0883900 | − | 0.329876i | ||||
\(590\) | 8.01369 | + | 1.10763i | 0.329918 | + | 0.0456005i | ||||
\(591\) | −5.15498 | + | 1.64233i | −0.212048 | + | 0.0675564i | ||||
\(592\) | 31.7925 | + | 9.40387i | 1.30666 | + | 0.386497i | ||||
\(593\) | 38.5906 | 1.58472 | 0.792362 | − | 0.610051i | \(-0.208851\pi\) | ||||
0.792362 | + | 0.610051i | \(0.208851\pi\) | |||||||
\(594\) | 7.13152 | − | 7.16765i | 0.292610 | − | 0.294092i | ||||
\(595\) | −30.9493 | + | 30.9493i | −1.26880 | + | 1.26880i | ||||
\(596\) | 12.9313 | + | 23.0800i | 0.529688 | + | 0.945393i | ||||
\(597\) | −18.3705 | − | 9.49332i | −0.751853 | − | 0.388536i | ||||
\(598\) | 20.7509 | − | 15.7112i | 0.848568 | − | 0.642479i | ||||
\(599\) | −4.83678 | − | 2.79252i | −0.197626 | − | 0.114099i | 0.397922 | − | 0.917419i | \(-0.369732\pi\) |
−0.595547 | + | 0.803320i | \(0.703065\pi\) | |||||||
\(600\) | −5.70159 | − | 2.18143i | −0.232766 | − | 0.0890564i | ||||
\(601\) | 29.8602 | − | 17.2398i | 1.21802 | − | 0.703227i | 0.253529 | − | 0.967328i | \(-0.418409\pi\) |
0.964495 | + | 0.264101i | \(0.0850753\pi\) | |||||||
\(602\) | 11.1845 | − | 26.5169i | 0.455846 | − | 1.08075i | ||||
\(603\) | −0.222541 | + | 0.268460i | −0.00906257 | + | 0.0109325i | ||||
\(604\) | −16.6722 | − | 17.1078i | −0.678382 | − | 0.696107i | ||||
\(605\) | −21.9843 | − | 5.89068i | −0.893790 | − | 0.239490i | ||||
\(606\) | −7.44907 | − | 43.1166i | −0.302598 | − | 1.75149i | ||||
\(607\) | 7.58467 | − | 13.1370i | 0.307852 | − | 0.533216i | −0.670040 | − | 0.742325i | \(-0.733723\pi\) |
0.977892 | + | 0.209109i | \(0.0670564\pi\) | |||||||
\(608\) | −30.6348 | + | 21.9752i | −1.24241 | + | 0.891212i | ||||
\(609\) | 3.79123 | − | 17.3465i | 0.153628 | − | 0.702917i | ||||
\(610\) | 6.64018 | + | 5.16355i | 0.268853 | + | 0.209066i | ||||
\(611\) | −16.9700 | + | 16.9700i | −0.686534 | + | 0.686534i | ||||
\(612\) | 20.8983 | − | 24.5589i | 0.844764 | − | 0.992733i | ||||
\(613\) | 7.90551 | + | 7.90551i | 0.319301 | + | 0.319301i | 0.848498 | − | 0.529198i | \(-0.177507\pi\) |
−0.529198 | + | 0.848498i | \(0.677507\pi\) | |||||||
\(614\) | −9.03424 | + | 1.13017i | −0.364592 | + | 0.0456100i | ||||
\(615\) | −9.46170 | + | 10.3879i | −0.381533 | + | 0.418879i | ||||
\(616\) | 12.5386 | + | 1.89812i | 0.505193 | + | 0.0764775i | ||||
\(617\) | −25.0266 | − | 14.4491i | −1.00753 | − | 0.581700i | −0.0970648 | − | 0.995278i | \(-0.530945\pi\) |
−0.910468 | + | 0.413578i | \(0.864279\pi\) | |||||||
\(618\) | 24.6032 | + | 2.23821i | 0.989687 | + | 0.0900341i | ||||
\(619\) | 8.96627 | − | 33.4626i | 0.360385 | − | 1.34497i | −0.513186 | − | 0.858277i | \(-0.671535\pi\) |
0.873571 | − | 0.486697i | \(-0.161798\pi\) | |||||||
\(620\) | −6.21555 | − | 0.0801537i | −0.249622 | − | 0.00321905i | ||||
\(621\) | −16.0722 | − | 6.48894i | −0.644953 | − | 0.260392i | ||||
\(622\) | −3.42653 | − | 8.42562i | −0.137391 | − | 0.337837i | ||||
\(623\) | −9.97724 | − | 17.2811i | −0.399730 | − | 0.692352i | ||||
\(624\) | 36.7094 | − | 10.6607i | 1.46955 | − | 0.426770i | ||||
\(625\) | −14.8389 | + | 25.7017i | −0.593555 | + | 1.02807i | ||||
\(626\) | −4.69400 | − | 0.648793i | −0.187610 | − | 0.0259310i | ||||
\(627\) | 15.8662 | − | 0.740291i | 0.633634 | − | 0.0295644i | ||||
\(628\) | 26.1844 | − | 14.6707i | 1.04487 | − | 0.585423i | ||||
\(629\) | −31.4994 | − | 31.4994i | −1.25596 | − | 1.25596i | ||||
\(630\) | 23.3306 | + | 25.4846i | 0.929513 | + | 1.01533i | ||||
\(631\) | − | 30.4132i | − | 1.21073i | −0.795948 | − | 0.605365i | \(-0.793027\pi\) | ||
0.795948 | − | 0.605365i | \(-0.206973\pi\) | |||||||
\(632\) | −6.25041 | + | 0.700185i | −0.248628 | + | 0.0278519i | ||||
\(633\) | 10.1717 | + | 2.22312i | 0.404291 | + | 0.0883611i | ||||
\(634\) | −12.9338 | − | 17.0826i | −0.513667 | − | 0.678437i | ||||
\(635\) | 17.8103 | − | 4.77225i | 0.706779 | − | 0.189381i | ||||
\(636\) | 0.348084 | + | 0.558512i | 0.0138024 | + | 0.0221464i | ||||
\(637\) | 19.2821 | + | 5.16663i | 0.763985 | + | 0.204709i | ||||
\(638\) | −5.67077 | + | 2.30619i | −0.224508 | + | 0.0913029i | ||||
\(639\) | −7.85814 | + | 5.57269i | −0.310863 | + | 0.220452i | ||||
\(640\) | 9.63093 | + | 26.5847i | 0.380696 | + | 1.05085i | ||||
\(641\) | −6.19753 | − | 10.7344i | −0.244788 | − | 0.423985i | 0.717284 | − | 0.696781i | \(-0.245385\pi\) |
−0.962072 | + | 0.272796i | \(0.912052\pi\) | |||||||
\(642\) | −11.6999 | − | 4.30425i | −0.461756 | − | 0.169875i | ||||
\(643\) | 6.97693 | + | 26.0383i | 0.275143 | + | 1.02685i | 0.955745 | + | 0.294195i | \(0.0950516\pi\) |
−0.680602 | + | 0.732653i | \(0.738282\pi\) | |||||||
\(644\) | −5.35518 | − | 21.0688i | −0.211024 | − | 0.830229i | ||||
\(645\) | −24.0164 | − | 12.4110i | −0.945646 | − | 0.488682i | ||||
\(646\) | 50.2651 | − | 6.28809i | 1.97765 | − | 0.247402i | ||||
\(647\) | 1.44109i | 0.0566551i | 0.999599 | + | 0.0283275i | \(0.00901814\pi\) | ||||
−0.999599 | + | 0.0283275i | \(0.990982\pi\) | |||||||
\(648\) | −18.6406 | − | 17.3357i | −0.732274 | − | 0.681011i | ||||
\(649\) | 3.14936i | 0.123623i | ||||||||
\(650\) | 1.20695 | + | 9.64798i | 0.0473405 | + | 0.378425i | ||||
\(651\) | 6.23543 | + | 3.22229i | 0.244386 | + | 0.126291i | ||||
\(652\) | 39.9430 | + | 23.7530i | 1.56429 | + | 0.930241i | ||||
\(653\) | 3.87857 | + | 14.4750i | 0.151780 | + | 0.566451i | 0.999360 | + | 0.0357824i | \(0.0113923\pi\) |
−0.847580 | + | 0.530668i | \(0.821941\pi\) | |||||||
\(654\) | 8.69532 | − | 23.6357i | 0.340014 | − | 0.924229i | ||||
\(655\) | 18.9993 | + | 32.9077i | 0.742363 | + | 1.28581i | ||||
\(656\) | 12.9795 | + | 0.334815i | 0.506765 | + | 0.0130723i | ||||
\(657\) | 23.8702 | − | 16.9278i | 0.931264 | − | 0.660417i | ||||
\(658\) | 7.55116 | + | 18.5678i | 0.294375 | + | 0.723849i | ||||
\(659\) | −5.05876 | − | 1.35549i | −0.197061 | − | 0.0528024i | 0.158938 | − | 0.987289i | \(-0.449193\pi\) |
−0.356000 | + | 0.934486i | \(0.615860\pi\) | |||||||
\(660\) | 2.69334 | − | 11.6038i | 0.104838 | − | 0.451678i | ||||
\(661\) | 19.8188 | − | 5.31043i | 0.770862 | − | 0.206552i | 0.148110 | − | 0.988971i | \(-0.452681\pi\) |
0.622752 | + | 0.782419i | \(0.286014\pi\) | |||||||
\(662\) | −11.6839 | + | 8.84630i | −0.454109 | + | 0.343821i | ||||
\(663\) | −50.1772 | − | 10.9666i | −1.94872 | − | 0.425909i | ||||
\(664\) | −10.5021 | + | 13.1519i | −0.407561 | + | 0.510392i | ||||
\(665\) | 54.2763i | 2.10474i | ||||||||
\(666\) | −25.9376 | + | 23.7452i | −1.00506 | + | 0.920109i | ||||
\(667\) | 7.42045 | + | 7.42045i | 0.287321 | + | 0.287321i | ||||
\(668\) | −7.40149 | + | 26.2633i | −0.286372 | + | 1.01616i | ||||
\(669\) | −14.3324 | + | 0.668728i | −0.554123 | + | 0.0258545i | ||||
\(670\) | −0.0562483 | + | 0.406956i | −0.00217306 | + | 0.0157221i | ||||
\(671\) | −1.63729 | + | 2.83588i | −0.0632071 | + | 0.109478i | ||||
\(672\) | 3.71148 | − | 31.7105i | 0.143173 | − | 1.22326i | ||||
\(673\) | 7.01009 | + | 12.1418i | 0.270219 | + | 0.468033i | 0.968918 | − | 0.247383i | \(-0.0795706\pi\) |
−0.698699 | + | 0.715416i | \(0.746237\pi\) | |||||||
\(674\) | 17.0886 | − | 6.94959i | 0.658229 | − | 0.267688i | ||||
\(675\) | 5.10135 | − | 3.98764i | 0.196351 | − | 0.153484i | ||||
\(676\) | −24.3469 | − | 24.9831i | −0.936420 | − | 0.960888i | ||||
\(677\) | 4.35650 | − | 16.2587i | 0.167434 | − | 0.624872i | −0.830283 | − | 0.557342i | \(-0.811821\pi\) |
0.997717 | − | 0.0675306i | \(-0.0215120\pi\) | |||||||
\(678\) | −2.57914 | + | 28.3508i | −0.0990513 | + | 1.08881i | ||||
\(679\) | −12.5010 | − | 7.21748i | −0.479746 | − | 0.276982i | ||||
\(680\) | 5.68651 | − | 37.5638i | 0.218068 | − | 1.44050i | ||||
\(681\) | 20.9247 | − | 22.9728i | 0.801834 | − | 0.880321i | ||||
\(682\) | −0.300384 | − | 2.40118i | −0.0115023 | − | 0.0919459i | ||||
\(683\) | 26.6987 | + | 26.6987i | 1.02160 | + | 1.02160i | 0.999762 | + | 0.0218370i | \(0.00695149\pi\) |
0.0218370 | + | 0.999762i | \(0.493049\pi\) | |||||||
\(684\) | −3.20979 | − | 39.8594i | −0.122729 | − | 1.52406i | ||||
\(685\) | −23.5480 | + | 23.5480i | −0.899724 | + | 0.899724i | ||||
\(686\) | −9.56706 | + | 12.3030i | −0.365272 | + | 0.469730i | ||||
\(687\) | 3.51303 | − | 16.0737i | 0.134031 | − | 0.613248i | ||||
\(688\) | 5.84105 | + | 24.2880i | 0.222688 | + | 0.925970i | ||||
\(689\) | 0.524096 | − | 0.907760i | 0.0199665 | − | 0.0345829i | ||||
\(690\) | −20.1223 | + | 3.47643i | −0.766041 | + | 0.132346i | ||||
\(691\) | −28.2719 | − | 7.57544i | −1.07551 | − | 0.288183i | −0.322757 | − | 0.946482i | \(-0.604610\pi\) |
−0.752757 | + | 0.658299i | \(0.771276\pi\) | |||||||
\(692\) | 0.115252 | − | 8.93723i | 0.00438121 | − | 0.339742i | ||||
\(693\) | −8.58412 | + | 10.3553i | −0.326084 | + | 0.393367i | ||||
\(694\) | 31.7442 | + | 13.3893i | 1.20499 | + | 0.508251i | ||||
\(695\) | 36.3284 | − | 20.9742i | 1.37801 | − | 0.795597i | ||||
\(696\) | 6.28427 | + | 14.0729i | 0.238205 | + | 0.533433i | ||||
\(697\) | −15.1082 | − | 8.72273i | −0.572264 | − | 0.330397i | ||||
\(698\) | 24.5490 | + | 32.4236i | 0.929194 | + | 1.22725i | ||||
\(699\) | 9.84195 | + | 5.08603i | 0.372257 | + | 0.192371i | ||||
\(700\) | 7.81648 | + | 2.20283i | 0.295435 | + | 0.0832592i | ||||
\(701\) | −28.6250 | + | 28.6250i | −1.08115 | + | 1.08115i | −0.0847476 | + | 0.996402i | \(0.527008\pi\) |
−0.996402 | + | 0.0847476i | \(0.972992\pi\) | |||||||
\(702\) | −10.3948 | + | 39.1897i | −0.392326 | + | 1.47912i | ||||
\(703\) | −55.2409 | −2.08345 | ||||||||
\(704\) | −9.73854 | + | 5.13097i | −0.367035 | + | 0.193381i | ||||
\(705\) | 17.9404 | − | 5.71565i | 0.675675 | − | 0.215264i | ||||
\(706\) | −6.81757 | + | 49.3250i | −0.256583 | + | 1.85637i | ||||
\(707\) | 15.0652 | + | 56.2240i | 0.566584 | + | 2.11452i | ||||
\(708\) | 7.92439 | − | 0.267388i | 0.297817 | − | 0.0100491i | ||||
\(709\) | 6.98798 | − | 26.0795i | 0.262439 | − | 0.979437i | −0.701360 | − | 0.712807i | \(-0.747423\pi\) |
0.963799 | − | 0.266629i | \(-0.0859099\pi\) | |||||||
\(710\) | −4.41086 | + | 10.4575i | −0.165537 | + | 0.392464i | ||||
\(711\) | 2.78308 | − | 6.06276i | 0.104374 | − | 0.227371i | ||||
\(712\) | 15.8710 | + | 6.93658i | 0.594790 | + | 0.259959i | ||||
\(713\) | −3.59248 | + | 2.07412i | −0.134539 | + | 0.0776764i | ||||
\(714\) | −24.7266 | + | 35.0548i | −0.925370 | + | 1.31189i | ||||
\(715\) | −18.3268 | + | 4.91066i | −0.685384 | + | 0.183648i | ||||
\(716\) | −43.5377 | − | 25.8907i | −1.62708 | − | 0.967581i | ||||
\(717\) | 23.1907 | + | 36.1630i | 0.866073 | + | 1.35053i | ||||
\(718\) | 15.2902 | − | 19.6628i | 0.570626 | − | 0.733809i | ||||
\(719\) | 3.06518 | 0.114312 | 0.0571560 | − | 0.998365i | \(-0.481797\pi\) | ||||
0.0571560 | + | 0.998365i | \(0.481797\pi\) | |||||||
\(720\) | −29.4261 | − | 5.79177i | −1.09665 | − | 0.215846i | ||||
\(721\) | −32.8646 | −1.22394 | ||||||||
\(722\) | 22.0669 | − | 28.3775i | 0.821247 | − | 1.05610i | ||||
\(723\) | −14.9671 | + | 0.698341i | −0.556632 | + | 0.0259716i | ||||
\(724\) | −13.0662 | + | 21.9721i | −0.485602 | + | 0.816587i | ||||
\(725\) | −3.78670 | + | 1.01464i | −0.140635 | + | 0.0376829i | ||||
\(726\) | −22.2152 | − | 2.02097i | −0.824484 | − | 0.0750052i | ||||
\(727\) | −12.5849 | + | 7.26589i | −0.466748 | + | 0.269477i | −0.714877 | − | 0.699250i | \(-0.753517\pi\) |
0.248130 | + | 0.968727i | \(0.420184\pi\) | |||||||
\(728\) | −47.3484 | + | 18.5478i | −1.75485 | + | 0.687427i | ||||
\(729\) | 25.9504 | − | 7.45506i | 0.961125 | − | 0.276113i | ||||
\(730\) | 13.3986 | − | 31.7662i | 0.495904 | − | 1.17572i | ||||
\(731\) | 8.68713 | − | 32.4208i | 0.321305 | − | 1.19913i | ||||
\(732\) | 7.27461 | + | 3.87897i | 0.268877 | + | 0.143371i | ||||
\(733\) | −1.26777 | − | 4.73140i | −0.0468263 | − | 0.174758i | 0.938552 | − | 0.345137i | \(-0.112168\pi\) |
−0.985379 | + | 0.170379i | \(0.945501\pi\) | |||||||
\(734\) | 3.22181 | − | 23.3098i | 0.118919 | − | 0.860379i | ||||
\(735\) | −11.5786 | − | 10.5463i | −0.427083 | − | 0.389005i | ||||
\(736\) | 14.5921 | + | 11.9635i | 0.537871 | + | 0.440980i | ||||
\(737\) | −0.159933 | −0.00589119 | ||||||||
\(738\) | −7.40478 | + | 11.6113i | −0.272574 | + | 0.427417i | ||||
\(739\) | 27.6544 | − | 27.6544i | 1.01728 | − | 1.01728i | 0.0174359 | − | 0.999848i | \(-0.494450\pi\) |
0.999848 | − | 0.0174359i | \(-0.00555030\pi\) | |||||||
\(740\) | −11.2379 | + | 39.8764i | −0.413114 | + | 1.46589i | ||||
\(741\) | −53.6144 | + | 34.3820i | −1.96957 | + | 1.26306i | ||||
\(742\) | −0.528461 | − | 0.697976i | −0.0194004 | − | 0.0256235i | ||||
\(743\) | 16.0882 | + | 9.28853i | 0.590219 | + | 0.340763i | 0.765184 | − | 0.643812i | \(-0.222648\pi\) |
−0.174965 | + | 0.984575i | \(0.555981\pi\) | |||||||
\(744\) | −6.01631 | + | 0.959689i | −0.220569 | + | 0.0351839i | ||||
\(745\) | −28.6302 | + | 16.5297i | −1.04893 | + | 0.605600i | ||||
\(746\) | −4.35346 | − | 1.83623i | −0.159391 | − | 0.0672293i | ||||
\(747\) | −6.20580 | − | 16.7380i | −0.227059 | − | 0.612413i | ||||
\(748\) | 14.7888 | + | 0.190712i | 0.540733 | + | 0.00697313i | ||||
\(749\) | 16.0189 | + | 4.29226i | 0.585320 | + | 0.156836i | ||||
\(750\) | −7.93443 | + | 21.5675i | −0.289724 | + | 0.787532i | ||||
\(751\) | 17.4576 | − | 30.2374i | 0.637037 | − | 1.10338i | −0.349043 | − | 0.937107i | \(-0.613493\pi\) |
0.986080 | − | 0.166273i | \(-0.0531733\pi\) | |||||||
\(752\) | −14.8385 | − | 9.08506i | −0.541103 | − | 0.331298i | ||||
\(753\) | 3.13473 | − | 0.998694i | 0.114236 | − | 0.0363944i | ||||
\(754\) | 15.0691 | − | 19.3785i | 0.548785 | − | 0.705722i | ||||
\(755\) | 21.1077 | − | 21.1077i | 0.768187 | − | 0.768187i | ||||
\(756\) | 26.7848 | + | 20.7201i | 0.974154 | + | 0.753582i | ||||
\(757\) | 15.4255 | + | 15.4255i | 0.560649 | + | 0.560649i | 0.929492 | − | 0.368843i | \(-0.120246\pi\) |
−0.368843 | + | 0.929492i | \(0.620246\pi\) | |||||||
\(758\) | −2.54181 | − | 20.3184i | −0.0923225 | − | 0.737997i | ||||
\(759\) | −2.41315 | − | 7.57446i | −0.0875919 | − | 0.274935i | ||||
\(760\) | −27.9518 | − | 37.9243i | −1.01392 | − | 1.37566i | ||||
\(761\) | 14.7108 | + | 8.49331i | 0.533268 | + | 0.307882i | 0.742346 | − | 0.670017i | \(-0.233713\pi\) |
−0.209078 | + | 0.977899i | \(0.567046\pi\) | |||||||
\(762\) | 16.4048 | − | 7.58076i | 0.594282 | − | 0.274622i | ||||
\(763\) | −8.67111 | + | 32.3610i | −0.313915 | + | 1.17155i | ||||
\(764\) | −15.7796 | + | 15.3778i | −0.570887 | + | 0.556350i | ||||
\(765\) | 31.0232 | + | 25.7168i | 1.12165 | + | 0.929795i | ||||
\(766\) | 14.2729 | − | 5.80449i | 0.515699 | − | 0.209725i | ||||
\(767\) | −6.31438 | − | 10.9368i | −0.227999 | − | 0.394906i | ||||
\(768\) | 13.7373 | + | 24.0684i | 0.495703 | + | 0.868492i | ||||
\(769\) | −21.5351 | + | 37.2999i | −0.776575 | + | 1.34507i | 0.157330 | + | 0.987546i | \(0.449712\pi\) |
−0.933905 | + | 0.357522i | \(0.883622\pi\) | |||||||
\(770\) | −2.16968 | + | 15.6976i | −0.0781898 | + | 0.565702i | ||||
\(771\) | −24.4791 | − | 38.1720i | −0.881594 | − | 1.37473i | ||||
\(772\) | −31.6551 | − | 8.92101i | −1.13929 | − | 0.321074i | ||||
\(773\) | 32.8660 | + | 32.8660i | 1.18211 | + | 1.18211i | 0.979198 | + | 0.202909i | \(0.0650394\pi\) |
0.202909 | + | 0.979198i | \(0.434961\pi\) | |||||||
\(774\) | −25.2658 | − | 7.97918i | −0.908159 | − | 0.286806i | ||||
\(775\) | − | 1.54966i | − | 0.0556653i | ||||||
\(776\) | 12.4518 | − | 1.39488i | 0.446992 | − | 0.0500731i | ||||
\(777\) | 31.5008 | − | 34.5842i | 1.13008 | − | 1.24070i | ||||
\(778\) | 16.2425 | − | 12.2977i | 0.582321 | − | 0.440895i | ||||
\(779\) | −20.8963 | + | 5.59915i | −0.748689 | + | 0.200611i | ||||
\(780\) | 13.9121 | + | 45.6968i | 0.498134 | + | 1.63621i | ||||
\(781\) | −4.26785 | − | 1.14357i | −0.152716 | − | 0.0409200i | ||||
\(782\) | −9.55113 | − | 23.4856i | −0.341548 | − | 0.839844i | ||||
\(783\) | −16.2259 | − | 1.98821i | −0.579865 | − | 0.0710528i | ||||
\(784\) | −0.373194 | + | 14.4673i | −0.0133284 | + | 0.516690i | ||||
\(785\) | 18.7530 | + | 32.4812i | 0.669324 | + | 1.15930i | ||||
\(786\) | 23.8402 | + | 28.6119i | 0.850353 | + | 1.02055i | ||||
\(787\) | 1.55972 | + | 5.82094i | 0.0555978 | + | 0.207494i | 0.988137 | − | 0.153575i | \(-0.0490786\pi\) |
−0.932539 | + | 0.361069i | \(0.882412\pi\) | |||||||
\(788\) | −3.19313 | + | 5.36955i | −0.113750 | + | 0.191282i | ||||
\(789\) | 0.629758 | + | 13.4972i | 0.0224200 | + | 0.480513i | ||||
\(790\) | −0.975601 | − | 7.79865i | −0.0347103 | − | 0.277463i | ||||
\(791\) | − | 37.8706i | − | 1.34652i | ||||||
\(792\) | 0.665047 | − | 11.6563i | 0.0236314 | − | 0.414189i | ||||
\(793\) | − | 13.1309i | − | 0.466292i | ||||||
\(794\) | 30.6109 | − | 3.82938i | 1.08634 | − | 0.135900i | ||||
\(795\) | −0.692255 | + | 0.443932i | −0.0245518 | + | 0.0157447i | ||||
\(796\) | −23.1416 | + | 5.88201i | −0.820231 | + | 0.208482i | ||||
\(797\) | −13.4797 | − | 50.3069i | −0.477475 | − | 1.78196i | −0.611788 | − | 0.791022i | \(-0.709549\pi\) |
0.134313 | − | 0.990939i | \(-0.457117\pi\) | |||||||
\(798\) | 9.05632 | + | 52.4197i | 0.320590 | + | 1.85564i | ||||
\(799\) | 11.6888 | + | 20.2455i | 0.413519 | + | 0.716236i | ||||
\(800\) | −6.59603 | + | 2.48624i | −0.233205 | + | 0.0879019i | ||||
\(801\) | −14.9856 | + | 10.6272i | −0.529489 | + | 0.375493i | ||||
\(802\) | −8.42922 | + | 3.42799i | −0.297646 | + | 0.121047i | ||||
\(803\) | 12.9642 | + | 3.47374i | 0.457496 | + | 0.122586i | ||||
\(804\) | 0.0135787 | + | 0.402421i | 0.000478882 | + | 0.0141923i | ||||
\(805\) | 26.2394 | − | 7.03082i | 0.924816 | − | 0.247804i | ||||
\(806\) | 5.85744 | + | 7.73633i | 0.206319 | + | 0.272501i | ||||
\(807\) | 3.56213 | + | 11.1809i | 0.125393 | + | 0.393586i | ||||
\(808\) | −39.4813 | − | 31.5268i | −1.38895 | − | 1.10911i | ||||
\(809\) | 12.2452i | 0.430520i | 0.976557 | + | 0.215260i | \(0.0690599\pi\) | ||||
−0.976557 | + | 0.215260i | \(0.930940\pi\) | |||||||
\(810\) | 21.3607 | − | 23.5709i | 0.750539 | − | 0.828198i | ||||
\(811\) | 34.8977 | + | 34.8977i | 1.22542 | + | 1.22542i | 0.965677 | + | 0.259747i | \(0.0836390\pi\) |
0.259747 | + | 0.965677i | \(0.416361\pi\) | |||||||
\(812\) | −10.0216 | − | 17.8867i | −0.351690 | − | 0.627700i | ||||
\(813\) | 19.7700 | − | 38.2567i | 0.693363 | − | 1.34172i | ||||
\(814\) | −15.9766 | − | 2.20824i | −0.559978 | − | 0.0773987i | ||||
\(815\) | −29.0360 | + | 50.2918i | −1.01709 | + | 1.76164i | ||||
\(816\) | −0.775740 | − | 37.2277i | −0.0271563 | − | 1.30323i | ||||
\(817\) | −20.8110 | − | 36.0458i | −0.728086 | − | 1.26108i | ||||
\(818\) | 19.6022 | + | 48.2005i | 0.685374 | + | 1.68529i | ||||
\(819\) | 9.04800 | − | 53.1720i | 0.316163 | − | 1.85798i | ||||
\(820\) | −0.209212 | + | 16.2234i | −0.00730598 | + | 0.566545i | ||||
\(821\) | 2.10293 | − | 7.84823i | 0.0733926 | − | 0.273905i | −0.919471 | − | 0.393157i | \(-0.871383\pi\) |
0.992864 | + | 0.119252i | \(0.0380496\pi\) | |||||||
\(822\) | −18.8134 | + | 26.6717i | −0.656193 | + | 0.930281i | ||||
\(823\) | −11.0255 | − | 6.36556i | −0.384324 | − | 0.221890i | 0.295374 | − | 0.955382i | \(-0.404556\pi\) |
−0.679698 | + | 0.733492i | \(0.737889\pi\) | |||||||
\(824\) | 22.9634 | − | 16.9250i | 0.799968 | − | 0.589609i | ||||
\(825\) | 2.90124 | + | 0.634090i | 0.101008 | + | 0.0220762i | ||||
\(826\) | −10.4662 | + | 1.30930i | −0.364164 | + | 0.0455565i | ||||
\(827\) | 7.95914 | + | 7.95914i | 0.276766 | + | 0.276766i | 0.831817 | − | 0.555050i | \(-0.187301\pi\) |
−0.555050 | + | 0.831817i | \(0.687301\pi\) | |||||||
\(828\) | −18.8539 | + | 6.71503i | −0.655218 | + | 0.233364i | ||||
\(829\) | 21.1944 | − | 21.1944i | 0.736113 | − | 0.736113i | −0.235710 | − | 0.971823i | \(-0.575742\pi\) |
0.971823 | + | 0.235710i | \(0.0757416\pi\) | |||||||
\(830\) | −16.6026 | − | 12.9105i | −0.576284 | − | 0.448131i | ||||
\(831\) | −1.18195 | − | 1.07657i | −0.0410014 | − | 0.0373459i | ||||
\(832\) | 23.5317 | − | 37.3439i | 0.815814 | − | 1.29467i | ||||
\(833\) | 9.72259 | − | 16.8400i | 0.336868 | − | 0.583472i | ||||
\(834\) | 31.5861 | − | 26.3184i | 1.09374 | − | 0.911330i | ||||
\(835\) | −32.9354 | − | 8.82503i | −1.13978 | − | 0.305403i | ||||
\(836\) | 13.1349 | − | 12.8005i | 0.454281 | − | 0.442713i | ||||
\(837\) | 2.41920 | − | 5.99200i | 0.0836198 | − | 0.207114i | ||||
\(838\) | 12.2759 | − | 29.1046i | 0.424066 | − | 1.00540i | ||||
\(839\) | −34.4751 | + | 19.9042i | −1.19021 | + | 0.687169i | −0.958355 | − | 0.285580i | \(-0.907814\pi\) |
−0.231858 | + | 0.972750i | \(0.574480\pi\) | |||||||
\(840\) | 39.6823 | + | 4.12656i | 1.36917 | + | 0.142380i | ||||
\(841\) | −16.5433 | − | 9.55126i | −0.570458 | − | 0.329354i | ||||
\(842\) | 10.1710 | − | 7.70080i | 0.350516 | − | 0.265387i | ||||
\(843\) | −2.29899 | − | 49.2728i | −0.0791815 | − | 1.69705i | ||||
\(844\) | 10.4885 | − | 5.87653i | 0.361029 | − | 0.202279i | ||||
\(845\) | 30.8242 | − | 30.8242i | 1.06039 | − | 1.06039i | ||||
\(846\) | 16.3730 | − | 8.51360i | 0.562917 | − | 0.292704i | ||||
\(847\) | 29.6747 | 1.01964 | ||||||||
\(848\) | 0.728701 | + | 0.215542i | 0.0250237 | + | 0.00740174i | ||||
\(849\) | −2.45587 | + | 11.2367i | −0.0842852 | + | 0.385642i | ||||
\(850\) | 9.38211 | + | 1.29677i | 0.321804 | + | 0.0444789i | ||||
\(851\) | 7.15576 | + | 26.7057i | 0.245296 | + | 0.915459i | ||||
\(852\) | −2.51508 | + | 10.8358i | −0.0861651 | + | 0.371228i | ||||
\(853\) | −12.8592 | + | 47.9910i | −0.440289 | + | 1.64318i | 0.287794 | + | 0.957692i | \(0.407078\pi\) |
−0.728083 | + | 0.685489i | \(0.759589\pi\) | |||||||
\(854\) | −10.1050 | − | 4.26218i | −0.345788 | − | 0.145849i | ||||
\(855\) | 49.7529 | − | 4.65292i | 1.70151 | − | 0.159126i | ||||
\(856\) | −13.4033 | + | 5.25049i | −0.458117 | + | 0.179458i | ||||
\(857\) | −1.84308 | + | 1.06410i | −0.0629582 | + | 0.0363490i | −0.531149 | − | 0.847279i | \(-0.678239\pi\) |
0.468190 | + | 0.883628i | \(0.344906\pi\) | |||||||
\(858\) | −16.8806 | + | 7.80062i | −0.576293 | + | 0.266309i | ||||
\(859\) | 9.11407 | − | 2.44211i | 0.310968 | − | 0.0833237i | −0.0999599 | − | 0.994991i | \(-0.531871\pi\) |
0.410928 | + | 0.911668i | \(0.365205\pi\) | |||||||
\(860\) | −30.2539 | + | 7.68978i | −1.03165 | + | 0.262219i | ||||
\(861\) | 8.41059 | − | 16.2753i | 0.286632 | − | 0.554660i | ||||
\(862\) | −3.15810 | − | 2.45580i | −0.107565 | − | 0.0836450i | ||||
\(863\) | 1.35198 | 0.0460219 | 0.0230110 | − | 0.999735i | \(-0.492675\pi\) | ||||
0.0230110 | + | 0.999735i | \(0.492675\pi\) | |||||||
\(864\) | −29.3859 | − | 0.683735i | −0.999729 | − | 0.0232611i | ||||
\(865\) | 11.1690 | 0.379757 | ||||||||
\(866\) | −11.0626 | − | 8.60251i | −0.375922 | − | 0.292325i | ||||
\(867\) | −9.45100 | + | 18.2886i | −0.320973 | + | 0.621112i | ||||
\(868\) | 7.85486 | − | 1.99651i | 0.266611 | − | 0.0677660i | ||||
\(869\) | 2.95540 | − | 0.791896i | 0.100255 | − | 0.0268632i | ||||
\(870\) | −17.4830 | + | 8.07900i | −0.592728 | + | 0.273904i | ||||
\(871\) | 0.555400 | − | 0.320660i | 0.0188190 | − | 0.0108652i | ||||
\(872\) | −10.6069 | − | 27.0771i | −0.359195 | − | 0.916945i | ||||
\(873\) | −5.54431 | + | 12.0779i | −0.187646 | + | 0.408776i | ||||
\(874\) | −28.9685 | − | 12.2186i | −0.979875 | − | 0.413299i | ||||
\(875\) | 7.91234 | − | 29.5293i | 0.267486 | − | 0.998271i | ||||
\(876\) | 7.63990 | − | 32.9152i | 0.258128 | − | 1.11210i | ||||
\(877\) | −4.48959 | − | 16.7554i | −0.151603 | − | 0.565789i | −0.999372 | − | 0.0354241i | \(-0.988722\pi\) |
0.847770 | − | 0.530364i | \(-0.177945\pi\) | |||||||
\(878\) | 8.94722 | + | 1.23666i | 0.301954 | + | 0.0417353i | ||||
\(879\) | 3.60708 | − | 16.5040i | 0.121664 | − | 0.556665i | ||||
\(880\) | −6.56810 | − | 12.0857i | −0.221411 | − | 0.407409i | ||||
\(881\) | 4.49503 | 0.151441 | 0.0757207 | − | 0.997129i | \(-0.475874\pi\) | ||||
0.0757207 | + | 0.997129i | \(0.475874\pi\) | |||||||
\(882\) | −12.9422 | − | 8.25357i | −0.435788 | − | 0.277912i | ||||
\(883\) | 7.21822 | − | 7.21822i | 0.242913 | − | 0.242913i | −0.575141 | − | 0.818054i | \(-0.695053\pi\) |
0.818054 | + | 0.575141i | \(0.195053\pi\) | |||||||
\(884\) | −51.7397 | + | 28.9889i | −1.74019 | + | 0.975002i | ||||
\(885\) | 0.461791 | + | 9.89727i | 0.0155229 | + | 0.332693i | ||||
\(886\) | −18.8631 | + | 14.2819i | −0.633717 | + | 0.479809i | ||||
\(887\) | 32.3743 | + | 18.6913i | 1.08702 | + | 0.627592i | 0.932782 | − | 0.360441i | \(-0.117374\pi\) |
0.154240 | + | 0.988033i | \(0.450707\pi\) | |||||||
\(888\) | −4.19989 | + | 40.3875i | −0.140939 | + | 1.35532i | ||||
\(889\) | −20.8197 | + | 12.0203i | −0.698271 | + | 0.403147i | ||||
\(890\) | −8.41157 | + | 19.9427i | −0.281956 | + | 0.668479i | ||||
\(891\) | 10.2282 | + | 6.98099i | 0.342658 | + | 0.233872i | ||||
\(892\) | −11.8652 | + | 11.5631i | −0.397276 | + | 0.387160i | ||||
\(893\) | 28.0018 | + | 7.50307i | 0.937046 | + | 0.251081i | ||||
\(894\) | −24.8928 | + | 20.7414i | −0.832540 | + | 0.693695i | ||||
\(895\) | 31.6491 | − | 54.8178i | 1.05791 | − | 1.83236i | ||||
\(896\) | −21.1002 | − | 30.2306i | −0.704909 | − | 1.00993i | ||||
\(897\) | 23.5667 | + | 21.4656i | 0.786871 | + | 0.716716i | ||||
\(898\) | −26.4819 | − | 20.5929i | −0.883714 | − | 0.687195i | ||||
\(899\) | −2.76648 | + | 2.76648i | −0.0922674 | + | 0.0922674i | ||||
\(900\) | 1.34917 | − | 7.35390i | 0.0449722 | − | 0.245130i | ||||
\(901\) | −0.721983 | − | 0.721983i | −0.0240527 | − | 0.0240527i | ||||
\(902\) | −6.26738 | + | 0.784042i | −0.208681 | + | 0.0261057i | ||||
\(903\) | 34.4343 | + | 7.52589i | 1.14590 | + | 0.250446i | ||||
\(904\) | 19.5030 | + | 26.4612i | 0.648660 | + | 0.880086i | ||||
\(905\) | −27.6648 | − | 15.9723i | −0.919610 | − | 0.530937i | ||||
\(906\) | 16.8637 | − | 23.9076i | 0.560260 | − | 0.794277i | ||||
\(907\) | 7.32597 | − | 27.3409i | 0.243255 | − | 0.907840i | −0.730998 | − | 0.682380i | \(-0.760945\pi\) |
0.974253 | − | 0.225460i | \(-0.0723884\pi\) | |||||||
\(908\) | 0.462673 | − | 35.8782i | 0.0153544 | − | 1.19066i | ||||
\(909\) | 50.2468 | − | 18.6295i | 1.66658 | − | 0.617902i | ||||
\(910\) | −23.9385 | − | 58.8633i | −0.793554 | − | 1.95130i | ||||
\(911\) | −12.2805 | − | 21.2704i | −0.406871 | − | 0.704721i | 0.587667 | − | 0.809103i | \(-0.300047\pi\) |
−0.994537 | + | 0.104383i | \(0.966713\pi\) | |||||||
\(912\) | −33.3236 | − | 31.9631i | −1.10345 | − | 1.05841i | ||||
\(913\) | 4.09376 | − | 7.09060i | 0.135484 | − | 0.234665i | ||||
\(914\) | −41.8610 | − | 5.78592i | −1.38464 | − | 0.191381i | ||||
\(915\) | −4.72958 | + | 9.15218i | −0.156355 | + | 0.302562i | ||||
\(916\) | −9.28625 | − | 16.5742i | −0.306826 | − | 0.547627i | ||||
\(917\) | −35.0323 | − | 35.0323i | −1.15687 | − | 1.15687i | ||||
\(918\) | 34.2530 | + | 19.6608i | 1.13052 | + | 0.648902i | ||||
\(919\) | − | 21.3619i | − | 0.704665i | −0.935875 | − | 0.352332i | \(-0.885389\pi\) | ||
0.935875 | − | 0.352332i | \(-0.114611\pi\) | |||||||
\(920\) | −14.7133 | + | 18.4257i | −0.485085 | + | 0.607476i | ||||
\(921\) | −3.38493 | − | 10.6247i | −0.111537 | − | 0.350096i | ||||
\(922\) | 23.8431 | + | 31.4913i | 0.785231 | + | 1.03711i | ||||
\(923\) | 17.1138 | − | 4.58563i | 0.563308 | − | 0.150938i | ||||
\(924\) | 0.523773 | + | 15.5227i | 0.0172309 | + | 0.510658i | ||||
\(925\) | −9.97644 | − | 2.67318i | −0.328023 | − | 0.0878936i | ||||
\(926\) | 23.6054 | − | 9.59986i | 0.775723 | − | 0.315471i | ||||
\(927\) | 2.81737 | + | 30.1257i | 0.0925345 | + | 0.989457i | ||||
\(928\) | 16.2139 | + | 7.33688i | 0.532246 | + | 0.240845i | ||||
\(929\) | 0.783906 | + | 1.35776i | 0.0257191 | + | 0.0445468i | 0.878598 | − | 0.477561i | \(-0.158479\pi\) |
−0.852879 | + | 0.522108i | \(0.825146\pi\) | |||||||
\(930\) | −1.29608 | − | 7.50196i | −0.0425001 | − | 0.245999i | ||||
\(931\) | −6.24097 | − | 23.2916i | −0.204540 | − | 0.763352i | ||||
\(932\) | 12.3981 | − | 3.15128i | 0.406112 | − | 0.103224i | ||||
\(933\) | 9.37738 | − | 6.01356i | 0.307002 | − | 0.196875i | ||||
\(934\) | 6.44112 | − | 0.805776i | 0.210760 | − | 0.0263658i | ||||
\(935\) | 18.4818i | 0.604420i | ||||||||
\(936\) | 21.0610 | + | 41.8124i | 0.688401 | + | 1.36668i | ||||
\(937\) | 40.1161i | 1.31054i | 0.755396 | + | 0.655269i | \(0.227445\pi\) | ||||
−0.755396 | + | 0.655269i | \(0.772555\pi\) | |||||||
\(938\) | −0.0664897 | − | 0.531498i | −0.00217097 | − | 0.0173540i | ||||
\(939\) | −0.270493 | − | 5.79731i | −0.00882721 | − | 0.189188i | ||||
\(940\) | 11.1127 | − | 18.6871i | 0.362458 | − | 0.609507i | ||||
\(941\) | −10.7101 | − | 39.9706i | −0.349139 | − | 1.30300i | −0.887702 | − | 0.460419i | \(-0.847699\pi\) |
0.538562 | − | 0.842586i | \(-0.318968\pi\) | |||||||
\(942\) | 23.5312 | + | 28.2411i | 0.766688 | + | 0.920143i | ||||
\(943\) | 5.41372 | + | 9.37683i | 0.176295 | + | 0.305352i | ||||
\(944\) | 6.63871 | − | 6.30482i | 0.216072 | − | 0.205204i | ||||
\(945\) | −25.4583 | + | 33.8017i | −0.828158 | + | 1.09957i | ||||
\(946\) | −4.57797 | − | 11.2569i | −0.148843 | − | 0.365995i | ||||
\(947\) | 31.9411 | + | 8.55860i | 1.03795 | + | 0.278117i | 0.737263 | − | 0.675606i | \(-0.236118\pi\) |
0.300685 | + | 0.953724i | \(0.402785\pi\) | |||||||
\(948\) | −2.24348 | − | 7.36910i | −0.0728648 | − | 0.239337i | ||||
\(949\) | −51.9856 | + | 13.9295i | −1.68752 | + | 0.452171i | ||||
\(950\) | 9.36385 | − | 7.08968i | 0.303803 | − | 0.230020i | ||||
\(951\) | 17.6710 | − | 19.4007i | 0.573020 | − | 0.629109i | ||||
\(952\) | 5.51446 | + | 49.2265i | 0.178725 | + | 1.59544i | ||||
\(953\) | 6.18680i | 0.200410i | 0.994967 | + | 0.100205i | \(0.0319499\pi\) | ||||
−0.994967 | + | 0.100205i | \(0.968050\pi\) | |||||||
\(954\) | −0.594503 | + | 0.544254i | −0.0192478 | + | 0.0176209i | ||||
\(955\) | −19.4690 | − | 19.4690i | −0.630001 | − | 0.630001i | ||||
\(956\) | 47.7462 | + | 13.4558i | 1.54422 | + | 0.435191i | ||||
\(957\) | −4.04737 | − | 6.31135i | −0.130833 | − | 0.204017i | ||||
\(958\) | 0.492420 | − | 3.56265i | 0.0159094 | − | 0.115104i | ||||
\(959\) | 21.7099 | − | 37.6026i | 0.701048 | − | 1.21425i | ||||
\(960\) | −29.8522 | + | 17.5527i | −0.963477 | + | 0.566510i | ||||
\(961\) | 14.7267 | + | 25.5074i | 0.475056 | + | 0.822821i | ||||
\(962\) | 59.9094 | − | 24.3639i | 1.93156 | − | 0.785525i | ||||
\(963\) | 2.56130 | − | 15.0519i | 0.0825367 | − | 0.485040i | ||||
\(964\) | −12.3906 | + | 12.0751i | −0.399074 | + | 0.388913i | ||||
\(965\) | 10.6368 | − | 39.6971i | 0.342410 | − | 1.27789i | ||||
\(966\) | 24.1687 | − | 11.1685i | 0.777615 | − | 0.359341i | ||||
\(967\) | 25.0282 | + | 14.4500i | 0.804851 | + | 0.464681i | 0.845165 | − | 0.534506i | \(-0.179502\pi\) |
−0.0403133 | + | 0.999187i | \(0.512836\pi\) | |||||||
\(968\) | −20.7345 | + | 15.2822i | −0.666434 | + | 0.491189i | ||||
\(969\) | 18.8332 | + | 59.1142i | 0.605010 | + | 1.89902i | ||||
\(970\) | 1.94354 | + | 15.5361i | 0.0624034 | + | 0.498833i | ||||
\(971\) | −41.1803 | − | 41.1803i | −1.32154 | − | 1.32154i | −0.912531 | − | 0.409008i | \(-0.865875\pi\) |
−0.409008 | − | 0.912531i | \(-0.634125\pi\) | |||||||
\(972\) | 16.6971 | − | 26.3288i | 0.535559 | − | 0.844498i | ||||
\(973\) | −38.6739 | + | 38.6739i | −1.23983 | + | 1.23983i | ||||
\(974\) | 22.9668 | − | 29.5347i | 0.735905 | − | 0.946354i | ||||
\(975\) | −11.3465 | + | 3.61489i | −0.363379 | + | 0.115769i | ||||
\(976\) | 9.25566 | − | 2.22590i | 0.296266 | − | 0.0712495i | ||||
\(977\) | −18.1859 | + | 31.4990i | −0.581820 | + | 1.00774i | 0.413444 | + | 0.910530i | \(0.364326\pi\) |
−0.995264 | + | 0.0972120i | \(0.969008\pi\) | |||||||
\(978\) | −19.6513 | + | 53.4163i | −0.628378 | + | 1.70806i | ||||
\(979\) | −8.13884 | − | 2.18080i | −0.260119 | − | 0.0696986i | ||||
\(980\) | −18.0830 | − | 0.233193i | −0.577641 | − | 0.00744907i | ||||
\(981\) | 30.4074 | + | 5.17426i | 0.970833 | + | 0.165201i | ||||
\(982\) | −29.5868 | − | 12.4794i | −0.944154 | − | 0.398232i | ||||
\(983\) | −48.0347 | + | 27.7329i | −1.53207 | + | 0.884541i | −0.532803 | + | 0.846239i | \(0.678861\pi\) |
−0.999266 | + | 0.0383018i | \(0.987805\pi\) | |||||||
\(984\) | 2.50491 | + | 15.7033i | 0.0798537 | + | 0.500604i | ||||
\(985\) | −6.76074 | − | 3.90331i | −0.215415 | − | 0.124370i | ||||
\(986\) | −14.4341 | − | 19.0642i | −0.459676 | − | 0.607127i | ||||
\(987\) | −20.6653 | + | 13.2523i | −0.657782 | + | 0.421825i | ||||
\(988\) | −19.9492 | + | 70.7874i | −0.634669 | + | 2.25205i | ||||
\(989\) | −14.7302 | + | 14.7302i | −0.468393 | + | 0.468393i | ||||
\(990\) | 14.5753 | + | 0.643160i | 0.463235 | + | 0.0204410i | ||||
\(991\) | 15.3724 | 0.488321 | 0.244161 | − | 0.969735i | \(-0.421488\pi\) | ||||
0.244161 | + | 0.969735i | \(0.421488\pi\) | |||||||
\(992\) | −4.46022 | + | 5.44020i | −0.141612 | + | 0.172727i | ||||
\(993\) | −13.2694 | − | 12.0863i | −0.421092 | − | 0.383549i | ||||
\(994\) | 2.02607 | − | 14.6586i | 0.0642631 | − | 0.464943i | ||||
\(995\) | −7.72250 | − | 28.8208i | −0.244820 | − | 0.913679i | ||||
\(996\) | −18.1889 | − | 9.69867i | −0.576336 | − | 0.307314i | ||||
\(997\) | −7.71233 | + | 28.7828i | −0.244252 | + | 0.911561i | 0.729506 | + | 0.683974i | \(0.239750\pi\) |
−0.973758 | + | 0.227586i | \(0.926917\pi\) | |||||||
\(998\) | −15.5976 | + | 36.9798i | −0.493735 | + | 1.17058i | ||||
\(999\) | −34.4024 | − | 25.9107i | −1.08844 | − | 0.819778i |
(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.x.e.85.16 | yes | 72 | |
3.2 | odd | 2 | 432.2.y.e.37.3 | 72 | |||
4.3 | odd | 2 | 576.2.bb.e.49.12 | 72 | |||
9.2 | odd | 6 | 432.2.y.e.181.11 | 72 | |||
9.7 | even | 3 | inner | 144.2.x.e.133.8 | yes | 72 | |
12.11 | even | 2 | 1728.2.bc.e.1009.16 | 72 | |||
16.3 | odd | 4 | 576.2.bb.e.337.17 | 72 | |||
16.13 | even | 4 | inner | 144.2.x.e.13.8 | ✓ | 72 | |
36.7 | odd | 6 | 576.2.bb.e.241.17 | 72 | |||
36.11 | even | 6 | 1728.2.bc.e.1585.3 | 72 | |||
48.29 | odd | 4 | 432.2.y.e.253.11 | 72 | |||
48.35 | even | 4 | 1728.2.bc.e.145.3 | 72 | |||
144.29 | odd | 12 | 432.2.y.e.397.3 | 72 | |||
144.61 | even | 12 | inner | 144.2.x.e.61.16 | yes | 72 | |
144.83 | even | 12 | 1728.2.bc.e.721.16 | 72 | |||
144.115 | odd | 12 | 576.2.bb.e.529.12 | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.x.e.13.8 | ✓ | 72 | 16.13 | even | 4 | inner | |
144.2.x.e.61.16 | yes | 72 | 144.61 | even | 12 | inner | |
144.2.x.e.85.16 | yes | 72 | 1.1 | even | 1 | trivial | |
144.2.x.e.133.8 | yes | 72 | 9.7 | even | 3 | inner | |
432.2.y.e.37.3 | 72 | 3.2 | odd | 2 | |||
432.2.y.e.181.11 | 72 | 9.2 | odd | 6 | |||
432.2.y.e.253.11 | 72 | 48.29 | odd | 4 | |||
432.2.y.e.397.3 | 72 | 144.29 | odd | 12 | |||
576.2.bb.e.49.12 | 72 | 4.3 | odd | 2 | |||
576.2.bb.e.241.17 | 72 | 36.7 | odd | 6 | |||
576.2.bb.e.337.17 | 72 | 16.3 | odd | 4 | |||
576.2.bb.e.529.12 | 72 | 144.115 | odd | 12 | |||
1728.2.bc.e.145.3 | 72 | 48.35 | even | 4 | |||
1728.2.bc.e.721.16 | 72 | 144.83 | even | 12 | |||
1728.2.bc.e.1009.16 | 72 | 12.11 | even | 2 | |||
1728.2.bc.e.1585.3 | 72 | 36.11 | even | 6 |