Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [49,2,Mod(2,49)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(49, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("49.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 49 = 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 49.g (of order \(21\), degree \(12\), 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: | \(0.391266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 32.2 | ||
Character | \(\chi\) | \(=\) | 49.32 |
Dual form | 49.2.g.a.23.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{2}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.118164 | − | 1.57679i | −0.0835548 | − | 1.11496i | −0.868597 | − | 0.495519i | \(-0.834978\pi\) |
0.785042 | − | 0.619442i | \(-0.212641\pi\) | |||||||
\(3\) | −3.07373 | − | 0.948121i | −1.77462 | − | 0.547398i | −0.777905 | − | 0.628382i | \(-0.783717\pi\) |
−0.996715 | + | 0.0809843i | \(0.974194\pi\) | |||||||
\(4\) | −0.494650 | + | 0.0745565i | −0.247325 | + | 0.0372783i | ||||
\(5\) | 0.291074 | − | 0.270077i | 0.130172 | − | 0.120782i | −0.612400 | − | 0.790548i | \(-0.709796\pi\) |
0.742572 | + | 0.669766i | \(0.233605\pi\) | |||||||
\(6\) | −1.13178 | + | 4.95867i | −0.462049 | + | 2.02437i | ||||
\(7\) | 2.43713 | − | 1.02976i | 0.921148 | − | 0.389212i | ||||
\(8\) | −0.527696 | − | 2.31199i | −0.186569 | − | 0.817411i | ||||
\(9\) | 6.07018 | + | 4.13858i | 2.02339 | + | 1.37953i | ||||
\(10\) | −0.460250 | − | 0.427049i | −0.145544 | − | 0.135045i | ||||
\(11\) | −1.83363 | + | 1.25015i | −0.552862 | + | 0.376935i | −0.807288 | − | 0.590157i | \(-0.799066\pi\) |
0.254427 | + | 0.967092i | \(0.418113\pi\) | |||||||
\(12\) | 1.59111 | + | 0.239821i | 0.459314 | + | 0.0692305i | ||||
\(13\) | 1.92814 | + | 0.928542i | 0.534769 | + | 0.257531i | 0.681721 | − | 0.731612i | \(-0.261232\pi\) |
−0.146952 | + | 0.989144i | \(0.546946\pi\) | |||||||
\(14\) | −1.91170 | − | 3.72117i | −0.510923 | − | 0.994523i | ||||
\(15\) | −1.15075 | + | 0.554171i | −0.297122 | + | 0.143086i | ||||
\(16\) | −4.53920 | + | 1.40016i | −1.13480 | + | 0.350039i | ||||
\(17\) | 0.243684 | + | 0.620897i | 0.0591021 | + | 0.150590i | 0.957375 | − | 0.288849i | \(-0.0932726\pi\) |
−0.898273 | + | 0.439439i | \(0.855177\pi\) | |||||||
\(18\) | 5.80840 | − | 10.0604i | 1.36905 | − | 2.37127i | ||||
\(19\) | 0.781344 | + | 1.35333i | 0.179253 | + | 0.310475i | 0.941625 | − | 0.336664i | \(-0.109299\pi\) |
−0.762372 | + | 0.647139i | \(0.775965\pi\) | |||||||
\(20\) | −0.123844 | + | 0.155295i | −0.0276923 | + | 0.0347250i | ||||
\(21\) | −8.46742 | + | 0.854511i | −1.84774 | + | 0.186470i | ||||
\(22\) | 2.18790 | + | 2.74354i | 0.466462 | + | 0.584924i | ||||
\(23\) | −0.231397 | + | 0.589589i | −0.0482495 | + | 0.122938i | −0.952967 | − | 0.303075i | \(-0.901987\pi\) |
0.904717 | + | 0.426013i | \(0.140082\pi\) | |||||||
\(24\) | −0.570047 | + | 7.60675i | −0.116360 | + | 1.55272i | ||||
\(25\) | −0.361868 | + | 4.82879i | −0.0723736 | + | 0.965759i | ||||
\(26\) | 1.23628 | − | 3.14999i | 0.242455 | − | 0.617765i | ||||
\(27\) | −8.71761 | − | 10.9315i | −1.67771 | − | 2.10378i | ||||
\(28\) | −1.12875 | + | 0.691074i | −0.213314 | + | 0.130601i | ||||
\(29\) | 3.83058 | − | 4.80339i | 0.711320 | − | 0.891967i | −0.286492 | − | 0.958083i | \(-0.592489\pi\) |
0.997812 | + | 0.0661153i | \(0.0210605\pi\) | |||||||
\(30\) | 1.00979 | + | 1.74901i | 0.184362 | + | 0.319324i | ||||
\(31\) | 1.69627 | − | 2.93803i | 0.304659 | − | 0.527685i | −0.672526 | − | 0.740073i | \(-0.734791\pi\) |
0.977185 | + | 0.212388i | \(0.0681241\pi\) | |||||||
\(32\) | 1.01136 | + | 2.57689i | 0.178784 | + | 0.455535i | ||||
\(33\) | 6.82140 | − | 2.10412i | 1.18745 | − | 0.366281i | ||||
\(34\) | 0.950231 | − | 0.457607i | 0.162963 | − | 0.0784789i | ||||
\(35\) | 0.431270 | − | 0.957948i | 0.0728979 | − | 0.161923i | ||||
\(36\) | −3.31117 | − | 1.59458i | −0.551862 | − | 0.265763i | ||||
\(37\) | −4.20292 | − | 0.633488i | −0.690955 | − | 0.104145i | −0.205828 | − | 0.978588i | \(-0.565989\pi\) |
−0.485127 | + | 0.874444i | \(0.661227\pi\) | |||||||
\(38\) | 2.04159 | − | 1.39193i | 0.331190 | − | 0.225801i | ||||
\(39\) | −5.04621 | − | 4.68220i | −0.808040 | − | 0.749752i | ||||
\(40\) | −0.778013 | − | 0.530440i | −0.123015 | − | 0.0838700i | ||||
\(41\) | 1.37484 | + | 6.02357i | 0.214714 | + | 0.940724i | 0.961315 | + | 0.275452i | \(0.0888274\pi\) |
−0.746601 | + | 0.665272i | \(0.768315\pi\) | |||||||
\(42\) | 2.34793 | + | 13.2504i | 0.362294 | + | 2.04458i | ||||
\(43\) | −1.37677 | + | 6.03200i | −0.209955 | + | 0.919872i | 0.754641 | + | 0.656138i | \(0.227811\pi\) |
−0.964596 | + | 0.263734i | \(0.915046\pi\) | |||||||
\(44\) | 0.813801 | − | 0.755097i | 0.122685 | − | 0.113835i | ||||
\(45\) | 2.88460 | − | 0.434784i | 0.430011 | − | 0.0648138i | ||||
\(46\) | 0.957002 | + | 0.295196i | 0.141102 | + | 0.0435243i | ||||
\(47\) | 0.409784 | + | 5.46818i | 0.0597731 | + | 0.797616i | 0.943871 | + | 0.330314i | \(0.107155\pi\) |
−0.884098 | + | 0.467302i | \(0.845226\pi\) | |||||||
\(48\) | 15.2798 | 2.20545 | ||||||||
\(49\) | 4.87919 | − | 5.01931i | 0.697028 | − | 0.717044i | ||||
\(50\) | 7.65677 | 1.08283 | ||||||||
\(51\) | −0.160334 | − | 2.13951i | −0.0224513 | − | 0.299592i | ||||
\(52\) | −1.02298 | − | 0.315548i | −0.141862 | − | 0.0437587i | ||||
\(53\) | −9.05069 | + | 1.36417i | −1.24321 | + | 0.187383i | −0.737515 | − | 0.675331i | \(-0.764001\pi\) |
−0.505692 | + | 0.862714i | \(0.668763\pi\) | |||||||
\(54\) | −16.2067 | + | 15.0376i | −2.20545 | + | 2.04636i | ||||
\(55\) | −0.196086 | + | 0.859108i | −0.0264402 | + | 0.115842i | ||||
\(56\) | −3.66685 | − | 5.09121i | −0.490004 | − | 0.680342i | ||||
\(57\) | −1.11852 | − | 4.90058i | −0.148152 | − | 0.649097i | ||||
\(58\) | −8.02659 | − | 5.47244i | −1.05394 | − | 0.718566i | ||||
\(59\) | 6.10584 | + | 5.66539i | 0.794912 | + | 0.737571i | 0.968974 | − | 0.247164i | \(-0.0794987\pi\) |
−0.174061 | + | 0.984735i | \(0.555689\pi\) | |||||||
\(60\) | 0.527901 | − | 0.359917i | 0.0681517 | − | 0.0464650i | ||||
\(61\) | −9.38126 | − | 1.41400i | −1.20115 | − | 0.181044i | −0.482170 | − | 0.876077i | \(-0.660151\pi\) |
−0.718977 | + | 0.695033i | \(0.755390\pi\) | |||||||
\(62\) | −4.83310 | − | 2.32750i | −0.613804 | − | 0.295592i | ||||
\(63\) | 19.0556 | + | 3.83543i | 2.40077 | + | 0.483218i | ||||
\(64\) | −4.61591 | + | 2.22291i | −0.576989 | + | 0.277863i | ||||
\(65\) | 0.812008 | − | 0.250471i | 0.100717 | − | 0.0310671i | ||||
\(66\) | −4.12381 | − | 10.5073i | −0.507606 | − | 1.29336i | ||||
\(67\) | 0.892421 | − | 1.54572i | 0.109027 | − | 0.188840i | −0.806350 | − | 0.591439i | \(-0.798560\pi\) |
0.915376 | + | 0.402600i | \(0.131893\pi\) | |||||||
\(68\) | −0.166830 | − | 0.288959i | −0.0202311 | − | 0.0350414i | ||||
\(69\) | 1.27025 | − | 1.59285i | 0.152920 | − | 0.191756i | ||||
\(70\) | −1.56145 | − | 0.566828i | −0.186628 | − | 0.0677489i | ||||
\(71\) | −1.30754 | − | 1.63960i | −0.155176 | − | 0.194585i | 0.698166 | − | 0.715936i | \(-0.254000\pi\) |
−0.853342 | + | 0.521351i | \(0.825428\pi\) | |||||||
\(72\) | 6.36514 | − | 16.2181i | 0.750138 | − | 1.91132i | ||||
\(73\) | 1.08006 | − | 14.4124i | 0.126412 | − | 1.68684i | −0.468822 | − | 0.883292i | \(-0.655322\pi\) |
0.595234 | − | 0.803552i | \(-0.297059\pi\) | |||||||
\(74\) | −0.502244 | + | 6.70198i | −0.0583847 | + | 0.779090i | ||||
\(75\) | 5.69057 | − | 14.4993i | 0.657090 | − | 1.67424i | ||||
\(76\) | −0.487392 | − | 0.611170i | −0.0559076 | − | 0.0701060i | ||||
\(77\) | −3.18145 | + | 4.93498i | −0.362560 | + | 0.562393i | ||||
\(78\) | −6.78657 | + | 8.51010i | −0.768428 | + | 0.963579i | ||||
\(79\) | 0.821284 | + | 1.42251i | 0.0924017 | + | 0.160044i | 0.908521 | − | 0.417839i | \(-0.137212\pi\) |
−0.816120 | + | 0.577883i | \(0.803879\pi\) | |||||||
\(80\) | −0.943091 | + | 1.63348i | −0.105441 | + | 0.182629i | ||||
\(81\) | 8.37897 | + | 21.3493i | 0.930996 | + | 2.37214i | ||||
\(82\) | 9.33547 | − | 2.87961i | 1.03093 | − | 0.318000i | ||||
\(83\) | −5.20544 | + | 2.50681i | −0.571371 | + | 0.275158i | −0.697179 | − | 0.716897i | \(-0.745562\pi\) |
0.125808 | + | 0.992055i | \(0.459848\pi\) | |||||||
\(84\) | 4.12470 | − | 1.05399i | 0.450042 | − | 0.114999i | ||||
\(85\) | 0.238620 | + | 0.114913i | 0.0258820 | + | 0.0124641i | ||||
\(86\) | 9.67390 | + | 1.45811i | 1.04316 | + | 0.157232i | ||||
\(87\) | −16.3284 | + | 11.1325i | −1.75058 | + | 1.19353i | ||||
\(88\) | 3.85794 | + | 3.57964i | 0.411257 | + | 0.381591i | ||||
\(89\) | −10.5898 | − | 7.21999i | −1.12251 | − | 0.765318i | −0.147855 | − | 0.989009i | \(-0.547237\pi\) |
−0.974660 | + | 0.223691i | \(0.928189\pi\) | |||||||
\(90\) | −1.02642 | − | 4.49705i | −0.108194 | − | 0.474030i | ||||
\(91\) | 5.65530 | + | 0.277460i | 0.592836 | + | 0.0290857i | ||||
\(92\) | 0.0705027 | − | 0.308892i | 0.00735041 | − | 0.0322043i | ||||
\(93\) | −7.99948 | + | 7.42244i | −0.829508 | + | 0.769671i | ||||
\(94\) | 8.57377 | − | 1.29229i | 0.884317 | − | 0.133289i | ||||
\(95\) | 0.592931 | + | 0.182895i | 0.0608335 | + | 0.0187646i | ||||
\(96\) | −0.665431 | − | 8.87956i | −0.0679153 | − | 0.906267i | ||||
\(97\) | −9.59518 | −0.974243 | −0.487121 | − | 0.873334i | \(-0.661953\pi\) | ||||
−0.487121 | + | 0.873334i | \(0.661953\pi\) | |||||||
\(98\) | −8.49096 | − | 7.10037i | −0.857716 | − | 0.717246i | ||||
\(99\) | −16.3043 | −1.63865 | ||||||||
\(100\) | −0.181020 | − | 2.41554i | −0.0181020 | − | 0.241554i | ||||
\(101\) | 11.8441 | + | 3.65343i | 1.17853 | + | 0.363530i | 0.821306 | − | 0.570488i | \(-0.193246\pi\) |
0.357228 | + | 0.934017i | \(0.383722\pi\) | |||||||
\(102\) | −3.35462 | + | 0.505628i | −0.332157 | + | 0.0500646i | ||||
\(103\) | 0.999008 | − | 0.926944i | 0.0984352 | − | 0.0913345i | −0.629420 | − | 0.777065i | \(-0.716708\pi\) |
0.727856 | + | 0.685730i | \(0.240517\pi\) | |||||||
\(104\) | 1.12931 | − | 4.94782i | 0.110738 | − | 0.485174i | ||||
\(105\) | −2.23386 | + | 2.53558i | −0.218002 | + | 0.247447i | ||||
\(106\) | 3.22048 | + | 14.1099i | 0.312801 | + | 1.37047i | ||||
\(107\) | 5.93297 | + | 4.04503i | 0.573562 | + | 0.391048i | 0.815080 | − | 0.579348i | \(-0.196693\pi\) |
−0.241518 | + | 0.970396i | \(0.577645\pi\) | |||||||
\(108\) | 5.12719 | + | 4.75734i | 0.493364 | + | 0.457775i | ||||
\(109\) | 15.8905 | − | 10.8340i | 1.52203 | − | 1.03770i | 0.541650 | − | 0.840604i | \(-0.317800\pi\) |
0.980383 | − | 0.197101i | \(-0.0631526\pi\) | |||||||
\(110\) | 1.37781 | + | 0.207671i | 0.131369 | + | 0.0198006i | ||||
\(111\) | 12.3180 | + | 5.93204i | 1.16917 | + | 0.563045i | ||||
\(112\) | −9.62079 | + | 8.08664i | −0.909079 | + | 0.764116i | ||||
\(113\) | −3.02699 | + | 1.45772i | −0.284755 | + | 0.137131i | −0.570809 | − | 0.821083i | \(-0.693370\pi\) |
0.286054 | + | 0.958213i | \(0.407656\pi\) | |||||||
\(114\) | −7.59502 | + | 2.34275i | −0.711339 | + | 0.219419i | ||||
\(115\) | 0.0918809 | + | 0.234109i | 0.00856794 | + | 0.0218307i | ||||
\(116\) | −1.53667 | + | 2.66159i | −0.142676 | + | 0.247123i | ||||
\(117\) | 7.86130 | + | 13.6162i | 0.726778 | + | 1.25882i | ||||
\(118\) | 8.21165 | − | 10.2971i | 0.755944 | − | 0.947923i | ||||
\(119\) | 1.23326 | + | 1.26227i | 0.113053 | + | 0.115712i | ||||
\(120\) | 1.88848 | + | 2.36808i | 0.172394 | + | 0.216175i | ||||
\(121\) | −2.21941 | + | 5.65497i | −0.201765 | + | 0.514088i | ||||
\(122\) | −1.12105 | + | 14.9594i | −0.101495 | + | 1.35436i | ||||
\(123\) | 1.48518 | − | 19.8184i | 0.133914 | − | 1.78696i | ||||
\(124\) | −0.620012 | + | 1.57976i | −0.0556787 | + | 0.141867i | ||||
\(125\) | 2.43666 | + | 3.05548i | 0.217942 | + | 0.273290i | ||||
\(126\) | 3.79599 | − | 30.4999i | 0.338174 | − | 2.71714i | ||||
\(127\) | 2.74253 | − | 3.43902i | 0.243360 | − | 0.305164i | −0.645118 | − | 0.764083i | \(-0.723192\pi\) |
0.888478 | + | 0.458919i | \(0.151763\pi\) | |||||||
\(128\) | 6.81875 | + | 11.8104i | 0.602698 | + | 1.04390i | ||||
\(129\) | 9.95088 | − | 17.2354i | 0.876126 | − | 1.51749i | ||||
\(130\) | −0.490892 | − | 1.25077i | −0.0430541 | − | 0.109700i | ||||
\(131\) | −8.59848 | + | 2.65228i | −0.751253 | + | 0.231731i | −0.646654 | − | 0.762784i | \(-0.723832\pi\) |
−0.104599 | + | 0.994514i | \(0.533356\pi\) | |||||||
\(132\) | −3.21733 | + | 1.54938i | −0.280033 | + | 0.134857i | ||||
\(133\) | 3.29784 | + | 2.49364i | 0.285959 | + | 0.216226i | ||||
\(134\) | −2.54273 | − | 1.22451i | −0.219658 | − | 0.105782i | ||||
\(135\) | −5.48983 | − | 0.827458i | −0.472489 | − | 0.0712162i | ||||
\(136\) | 1.30691 | − | 0.891039i | 0.112067 | − | 0.0764060i | ||||
\(137\) | 9.84840 | + | 9.13798i | 0.841406 | + | 0.780711i | 0.977711 | − | 0.209956i | \(-0.0673322\pi\) |
−0.136305 | + | 0.990667i | \(0.543523\pi\) | |||||||
\(138\) | −2.66169 | − | 1.81471i | −0.226578 | − | 0.154478i | ||||
\(139\) | 0.369690 | + | 1.61972i | 0.0313567 | + | 0.137383i | 0.988183 | − | 0.153277i | \(-0.0489826\pi\) |
−0.956827 | + | 0.290659i | \(0.906125\pi\) | |||||||
\(140\) | −0.141907 | + | 0.506003i | −0.0119933 | + | 0.0427651i | ||||
\(141\) | 3.92493 | − | 17.1963i | 0.330539 | − | 1.44819i | ||||
\(142\) | −2.43080 | + | 2.25546i | −0.203988 | + | 0.189274i | ||||
\(143\) | −4.69632 | + | 0.707856i | −0.392726 | + | 0.0591939i | ||||
\(144\) | −33.3484 | − | 10.2866i | −2.77903 | − | 0.857219i | ||||
\(145\) | −0.182305 | − | 2.43269i | −0.0151396 | − | 0.202024i | ||||
\(146\) | −22.8530 | −1.89133 | ||||||||
\(147\) | −19.7562 | + | 10.8020i | −1.62947 | + | 0.890930i | ||||
\(148\) | 2.12620 | 0.174773 | ||||||||
\(149\) | −0.677911 | − | 9.04609i | −0.0555366 | − | 0.741085i | −0.953573 | − | 0.301163i | \(-0.902625\pi\) |
0.898036 | − | 0.439922i | \(-0.144994\pi\) | |||||||
\(150\) | −23.5349 | − | 7.25954i | −1.92161 | − | 0.592739i | ||||
\(151\) | −9.05271 | + | 1.36448i | −0.736699 | + | 0.111039i | −0.506665 | − | 0.862143i | \(-0.669122\pi\) |
−0.230034 | + | 0.973183i | \(0.573884\pi\) | |||||||
\(152\) | 2.71657 | − | 2.52060i | 0.220343 | − | 0.204448i | ||||
\(153\) | −1.09042 | + | 4.77746i | −0.0881556 | + | 0.386235i | ||||
\(154\) | 8.15737 | + | 4.43335i | 0.657340 | + | 0.357249i | ||||
\(155\) | −0.299753 | − | 1.31331i | −0.0240768 | − | 0.105487i | ||||
\(156\) | 2.84520 | + | 1.93982i | 0.227798 | + | 0.155310i | ||||
\(157\) | −4.93123 | − | 4.57551i | −0.393555 | − | 0.365166i | 0.458431 | − | 0.888730i | \(-0.348412\pi\) |
−0.851986 | + | 0.523564i | \(0.824602\pi\) | |||||||
\(158\) | 2.14595 | − | 1.46308i | 0.170723 | − | 0.116397i | ||||
\(159\) | 29.1128 | + | 4.38805i | 2.30879 | + | 0.347995i | ||||
\(160\) | 0.990338 | + | 0.476922i | 0.0782931 | + | 0.0377040i | ||||
\(161\) | 0.0431911 | + | 1.67519i | 0.00340394 | + | 0.132023i | ||||
\(162\) | 32.6733 | − | 15.7346i | 2.56705 | − | 1.23623i | ||||
\(163\) | 2.71032 | − | 0.836022i | 0.212288 | − | 0.0654823i | −0.186787 | − | 0.982400i | \(-0.559807\pi\) |
0.399075 | + | 0.916918i | \(0.369331\pi\) | |||||||
\(164\) | −1.12916 | − | 2.87706i | −0.0881728 | − | 0.224661i | ||||
\(165\) | 1.41725 | − | 2.45476i | 0.110333 | − | 0.191102i | ||||
\(166\) | 4.56781 | + | 7.91168i | 0.354531 | + | 0.614065i | ||||
\(167\) | 3.84685 | − | 4.82380i | 0.297678 | − | 0.373277i | −0.610389 | − | 0.792102i | \(-0.708987\pi\) |
0.908067 | + | 0.418826i | \(0.137558\pi\) | |||||||
\(168\) | 6.44384 | + | 19.1256i | 0.497153 | + | 1.47558i | ||||
\(169\) | −5.24984 | − | 6.58309i | −0.403834 | − | 0.506392i | ||||
\(170\) | 0.152998 | − | 0.389833i | 0.0117344 | − | 0.0298988i | ||||
\(171\) | −0.857954 | + | 11.4486i | −0.0656094 | + | 0.875496i | ||||
\(172\) | 0.231292 | − | 3.08638i | 0.0176359 | − | 0.235334i | ||||
\(173\) | −6.01320 | + | 15.3214i | −0.457175 | + | 1.16486i | 0.497567 | + | 0.867426i | \(0.334227\pi\) |
−0.954741 | + | 0.297437i | \(0.903868\pi\) | |||||||
\(174\) | 19.4831 | + | 24.4310i | 1.47701 | + | 1.85211i | ||||
\(175\) | 4.09058 | + | 12.1410i | 0.309218 | + | 0.917776i | ||||
\(176\) | 6.57282 | − | 8.24206i | 0.495445 | − | 0.621269i | ||||
\(177\) | −13.3962 | − | 23.2030i | −1.00692 | − | 1.74404i | ||||
\(178\) | −10.1331 | + | 17.5510i | −0.759508 | + | 1.31551i | ||||
\(179\) | −5.90683 | − | 15.0504i | −0.441497 | − | 1.12492i | −0.962481 | − | 0.271350i | \(-0.912530\pi\) |
0.520983 | − | 0.853567i | \(-0.325565\pi\) | |||||||
\(180\) | −1.39445 | + | 0.430132i | −0.103937 | + | 0.0320602i | ||||
\(181\) | −6.74759 | + | 3.24947i | −0.501545 | + | 0.241531i | −0.667511 | − | 0.744600i | \(-0.732640\pi\) |
0.165966 | + | 0.986131i | \(0.446926\pi\) | |||||||
\(182\) | −0.230757 | − | 8.95001i | −0.0171049 | − | 0.663419i | ||||
\(183\) | 27.4949 | + | 13.2408i | 2.03248 | + | 0.978790i | ||||
\(184\) | 1.48523 | + | 0.223862i | 0.109493 | + | 0.0165033i | ||||
\(185\) | −1.39445 | + | 0.950719i | −0.102522 | + | 0.0698983i | ||||
\(186\) | 12.6489 | + | 11.7365i | 0.927462 | + | 0.860559i | ||||
\(187\) | −1.22304 | − | 0.833856i | −0.0894377 | − | 0.0609776i | ||||
\(188\) | −0.610388 | − | 2.67429i | −0.0445171 | − | 0.195042i | ||||
\(189\) | −32.5028 | − | 17.6645i | −2.36423 | − | 1.28491i | ||||
\(190\) | 0.218324 | − | 0.956541i | 0.0158389 | − | 0.0693948i | ||||
\(191\) | 16.2118 | − | 15.0424i | 1.17305 | − | 1.08843i | 0.178520 | − | 0.983936i | \(-0.442869\pi\) |
0.994526 | − | 0.104491i | \(-0.0333214\pi\) | |||||||
\(192\) | 16.2957 | − | 2.45618i | 1.17604 | − | 0.177259i | ||||
\(193\) | −20.0866 | − | 6.19590i | −1.44587 | − | 0.445991i | −0.530180 | − | 0.847885i | \(-0.677876\pi\) |
−0.915686 | + | 0.401894i | \(0.868352\pi\) | |||||||
\(194\) | 1.13381 | + | 15.1296i | 0.0814026 | + | 1.08624i | ||||
\(195\) | −2.73337 | −0.195741 | ||||||||
\(196\) | −2.03927 | + | 2.84658i | −0.145662 | + | 0.203327i | ||||
\(197\) | 14.9189 | 1.06293 | 0.531464 | − | 0.847081i | \(-0.321642\pi\) | ||||
0.531464 | + | 0.847081i | \(0.321642\pi\) | |||||||
\(198\) | 1.92659 | + | 25.7086i | 0.136917 | + | 1.82703i | ||||
\(199\) | −10.4493 | − | 3.22319i | −0.740734 | − | 0.228486i | −0.0986518 | − | 0.995122i | \(-0.531453\pi\) |
−0.642082 | + | 0.766636i | \(0.721929\pi\) | |||||||
\(200\) | 11.3551 | − | 1.71150i | 0.802925 | − | 0.121021i | ||||
\(201\) | −4.20859 | + | 3.90500i | −0.296851 | + | 0.275438i | ||||
\(202\) | 4.36115 | − | 19.1074i | 0.306849 | − | 1.34439i | ||||
\(203\) | 4.38927 | − | 15.6511i | 0.308067 | − | 1.09849i | ||||
\(204\) | 0.238824 | + | 1.04636i | 0.0167210 | + | 0.0732596i | ||||
\(205\) | 2.02701 | + | 1.38199i | 0.141572 | + | 0.0965224i | ||||
\(206\) | −1.57965 | − | 1.46570i | −0.110059 | − | 0.102120i | ||||
\(207\) | −3.84468 | + | 2.62126i | −0.267224 | + | 0.182190i | ||||
\(208\) | −10.0523 | − | 1.51514i | −0.697002 | − | 0.105056i | ||||
\(209\) | −3.12456 | − | 1.50471i | −0.216131 | − | 0.104083i | ||||
\(210\) | 4.26205 | + | 3.22272i | 0.294109 | + | 0.222389i | ||||
\(211\) | −15.2742 | + | 7.35566i | −1.05152 | + | 0.506384i | −0.878106 | − | 0.478465i | \(-0.841193\pi\) |
−0.173411 | + | 0.984850i | \(0.555479\pi\) | |||||||
\(212\) | 4.37522 | − | 1.34958i | 0.300491 | − | 0.0926892i | ||||
\(213\) | 2.46448 | + | 6.27939i | 0.168863 | + | 0.430257i | ||||
\(214\) | 5.67711 | − | 9.83305i | 0.388079 | − | 0.672173i | ||||
\(215\) | 1.22836 | + | 2.12759i | 0.0837738 | + | 0.145100i | ||||
\(216\) | −20.6733 | + | 25.9236i | −1.40664 | + | 1.76387i | ||||
\(217\) | 1.10857 | − | 8.90710i | 0.0752546 | − | 0.604653i | ||||
\(218\) | −18.9606 | − | 23.7758i | −1.28417 | − | 1.61030i | ||||
\(219\) | −16.9845 | + | 43.2759i | −1.14771 | + | 2.92431i | ||||
\(220\) | 0.0329418 | − | 0.439578i | 0.00222094 | − | 0.0296363i | ||||
\(221\) | −0.106673 | + | 1.42345i | −0.00717557 | + | 0.0957513i | ||||
\(222\) | 7.89805 | − | 20.1239i | 0.530083 | − | 1.35063i | ||||
\(223\) | 13.4548 | + | 16.8717i | 0.900998 | + | 1.12982i | 0.990998 | + | 0.133874i | \(0.0427417\pi\) |
−0.0900007 | + | 0.995942i | \(0.528687\pi\) | |||||||
\(224\) | 5.11838 | + | 5.23877i | 0.341986 | + | 0.350030i | ||||
\(225\) | −22.1810 | + | 27.8140i | −1.47873 | + | 1.85427i | ||||
\(226\) | 2.65620 | + | 4.60068i | 0.176688 | + | 0.306033i | ||||
\(227\) | 8.44939 | − | 14.6348i | 0.560806 | − | 0.971344i | −0.436621 | − | 0.899646i | \(-0.643825\pi\) |
0.997426 | − | 0.0716980i | \(-0.0228418\pi\) | |||||||
\(228\) | 0.918648 | + | 2.34068i | 0.0608390 | + | 0.155015i | ||||
\(229\) | 19.2696 | − | 5.94389i | 1.27337 | − | 0.392783i | 0.416888 | − | 0.908958i | \(-0.363121\pi\) |
0.856483 | + | 0.516175i | \(0.172645\pi\) | |||||||
\(230\) | 0.358284 | − | 0.172540i | 0.0236245 | − | 0.0113770i | ||||
\(231\) | 14.4579 | − | 12.1524i | 0.951259 | − | 0.799570i | ||||
\(232\) | −13.1268 | − | 6.32152i | −0.861814 | − | 0.415028i | ||||
\(233\) | 0.873594 | + | 0.131673i | 0.0572310 | + | 0.00862619i | 0.177595 | − | 0.984104i | \(-0.443168\pi\) |
−0.120364 | + | 0.992730i | \(0.538406\pi\) | |||||||
\(234\) | 20.5410 | − | 14.0046i | 1.34280 | − | 0.915508i | ||||
\(235\) | 1.59611 | + | 1.48097i | 0.104119 | + | 0.0966079i | ||||
\(236\) | −3.44265 | − | 2.34716i | −0.224097 | − | 0.152787i | ||||
\(237\) | −1.17570 | − | 5.15108i | −0.0763699 | − | 0.334599i | ||||
\(238\) | 1.84461 | − | 2.09376i | 0.119568 | − | 0.135718i | ||||
\(239\) | −0.533986 | + | 2.33954i | −0.0345407 | + | 0.151333i | −0.989258 | − | 0.146183i | \(-0.953301\pi\) |
0.954717 | + | 0.297516i | \(0.0961582\pi\) | |||||||
\(240\) | 4.44755 | − | 4.12672i | 0.287088 | − | 0.266379i | ||||
\(241\) | −20.6241 | + | 3.10858i | −1.32851 | + | 0.200241i | −0.774663 | − | 0.632374i | \(-0.782081\pi\) |
−0.553851 | + | 0.832616i | \(0.686842\pi\) | |||||||
\(242\) | 9.17897 | + | 2.83134i | 0.590047 | + | 0.182005i | ||||
\(243\) | −2.37840 | − | 31.7376i | −0.152575 | − | 2.03597i | ||||
\(244\) | 4.74587 | 0.303823 | ||||||||
\(245\) | 0.0646049 | − | 2.77875i | 0.00412746 | − | 0.177528i | ||||
\(246\) | −31.4249 | −2.00358 | ||||||||
\(247\) | 0.249917 | + | 3.33491i | 0.0159019 | + | 0.212195i | ||||
\(248\) | −7.68780 | − | 2.37137i | −0.488176 | − | 0.150582i | ||||
\(249\) | 18.3769 | − | 2.76987i | 1.16459 | − | 0.175533i | ||||
\(250\) | 4.52993 | − | 4.20316i | 0.286498 | − | 0.265831i | ||||
\(251\) | 5.88168 | − | 25.7693i | 0.371248 | − | 1.62655i | −0.352030 | − | 0.935989i | \(-0.614508\pi\) |
0.723278 | − | 0.690557i | \(-0.242634\pi\) | |||||||
\(252\) | −9.71179 | − | 0.476479i | −0.611785 | − | 0.0300154i | ||||
\(253\) | −0.312778 | − | 1.37037i | −0.0196642 | − | 0.0861545i | ||||
\(254\) | −5.74669 | − | 3.91803i | −0.360579 | − | 0.245839i | ||||
\(255\) | −0.624502 | − | 0.579453i | −0.0391078 | − | 0.0362868i | ||||
\(256\) | 9.35075 | − | 6.37523i | 0.584422 | − | 0.398452i | ||||
\(257\) | −11.1370 | − | 1.67863i | −0.694704 | − | 0.104710i | −0.207808 | − | 0.978170i | \(-0.566633\pi\) |
−0.486896 | + | 0.873460i | \(0.661871\pi\) | |||||||
\(258\) | −28.3525 | − | 13.6539i | −1.76515 | − | 0.850052i | ||||
\(259\) | −10.8954 | + | 2.78410i | −0.677006 | + | 0.172996i | ||||
\(260\) | −0.382986 | + | 0.184436i | −0.0237518 | + | 0.0114383i | ||||
\(261\) | 43.1315 | − | 13.3043i | 2.66977 | − | 0.823516i | ||||
\(262\) | 5.19813 | + | 13.2446i | 0.321142 | + | 0.818255i | ||||
\(263\) | −11.1542 | + | 19.3196i | −0.687795 | + | 1.19130i | 0.284755 | + | 0.958600i | \(0.408088\pi\) |
−0.972550 | + | 0.232695i | \(0.925246\pi\) | |||||||
\(264\) | −8.46433 | − | 14.6606i | −0.520943 | − | 0.902301i | ||||
\(265\) | −2.26599 | + | 2.84146i | −0.139198 | + | 0.174549i | ||||
\(266\) | 3.54226 | − | 5.49466i | 0.217190 | − | 0.336899i | ||||
\(267\) | 25.7047 | + | 32.2327i | 1.57310 | + | 1.97261i | ||||
\(268\) | −0.326193 | + | 0.831126i | −0.0199254 | + | 0.0507691i | ||||
\(269\) | −1.48850 | + | 19.8626i | −0.0907554 | + | 1.21105i | 0.746934 | + | 0.664899i | \(0.231525\pi\) |
−0.837689 | + | 0.546148i | \(0.816094\pi\) | |||||||
\(270\) | −0.656028 | + | 8.75409i | −0.0399246 | + | 0.532757i | ||||
\(271\) | −3.73698 | + | 9.52168i | −0.227006 | + | 0.578401i | −0.998313 | − | 0.0580620i | \(-0.981508\pi\) |
0.771307 | + | 0.636463i | \(0.219603\pi\) | |||||||
\(272\) | −1.97548 | − | 2.47718i | −0.119781 | − | 0.150201i | ||||
\(273\) | −17.1198 | − | 6.21474i | −1.03614 | − | 0.376133i | ||||
\(274\) | 13.2450 | − | 16.6087i | 0.800158 | − | 1.00337i | ||||
\(275\) | −5.37319 | − | 9.30663i | −0.324015 | − | 0.561211i | ||||
\(276\) | −0.509574 | + | 0.882607i | −0.0306727 | + | 0.0531267i | ||||
\(277\) | 2.87132 | + | 7.31602i | 0.172521 | + | 0.439577i | 0.990815 | − | 0.135223i | \(-0.0431751\pi\) |
−0.818294 | + | 0.574800i | \(0.805080\pi\) | |||||||
\(278\) | 2.51027 | − | 0.774317i | 0.150556 | − | 0.0464404i | ||||
\(279\) | 22.4559 | − | 10.8142i | 1.34440 | − | 0.647429i | ||||
\(280\) | −2.44234 | − | 0.491586i | −0.145958 | − | 0.0293779i | ||||
\(281\) | −10.3585 | − | 4.98841i | −0.617939 | − | 0.297584i | 0.0986041 | − | 0.995127i | \(-0.468562\pi\) |
−0.716543 | + | 0.697543i | \(0.754277\pi\) | |||||||
\(282\) | −27.5787 | − | 4.15682i | −1.64229 | − | 0.247535i | ||||
\(283\) | −6.67767 | + | 4.55276i | −0.396946 | + | 0.270634i | −0.745299 | − | 0.666730i | \(-0.767693\pi\) |
0.348353 | + | 0.937363i | \(0.386741\pi\) | |||||||
\(284\) | 0.769016 | + | 0.713542i | 0.0456327 | + | 0.0423410i | ||||
\(285\) | −1.64911 | − | 1.12434i | −0.0976846 | − | 0.0666002i | ||||
\(286\) | 1.67108 | + | 7.32148i | 0.0988130 | + | 0.432928i | ||||
\(287\) | 9.55349 | + | 13.2645i | 0.563925 | + | 0.782977i | ||||
\(288\) | −4.52556 | + | 19.8278i | −0.266671 | + | 1.16836i | ||||
\(289\) | 12.1358 | − | 11.2603i | 0.713868 | − | 0.662372i | ||||
\(290\) | −3.81431 | + | 0.574914i | −0.223984 | + | 0.0337601i | ||||
\(291\) | 29.4930 | + | 9.09739i | 1.72891 | + | 0.533298i | ||||
\(292\) | 0.540287 | + | 7.20963i | 0.0316179 | + | 0.421912i | ||||
\(293\) | 4.90918 | 0.286797 | 0.143399 | − | 0.989665i | \(-0.454197\pi\) | ||||
0.143399 | + | 0.989665i | \(0.454197\pi\) | |||||||
\(294\) | 19.3669 | + | 29.8751i | 1.12950 | + | 1.74235i | ||||
\(295\) | 3.30734 | 0.192561 | ||||||||
\(296\) | 0.753247 | + | 10.0514i | 0.0437816 | + | 0.584225i | ||||
\(297\) | 29.6510 | + | 9.14612i | 1.72053 | + | 0.530712i | ||||
\(298\) | −14.1837 | + | 2.13785i | −0.821640 | + | 0.123842i | ||||
\(299\) | −0.993623 | + | 0.921947i | −0.0574627 | + | 0.0533176i | ||||
\(300\) | −1.73382 | + | 7.59637i | −0.100102 | + | 0.438576i | ||||
\(301\) | 2.85615 | + | 16.1185i | 0.164626 | + | 0.929055i | ||||
\(302\) | 3.22120 | + | 14.1130i | 0.185359 | + | 0.812112i | ||||
\(303\) | −32.9418 | − | 22.4593i | −1.89246 | − | 1.29025i | ||||
\(304\) | −5.44155 | − | 5.04902i | −0.312094 | − | 0.289581i | ||||
\(305\) | −3.11253 | + | 2.12209i | −0.178223 | + | 0.121510i | ||||
\(306\) | 7.66191 | + | 1.15485i | 0.438002 | + | 0.0660183i | ||||
\(307\) | 5.02321 | + | 2.41905i | 0.286690 | + | 0.138063i | 0.571702 | − | 0.820461i | \(-0.306283\pi\) |
−0.285012 | + | 0.958524i | \(0.591998\pi\) | |||||||
\(308\) | 1.20577 | − | 2.67829i | 0.0687051 | − | 0.152610i | ||||
\(309\) | −3.94954 | + | 1.90200i | −0.224681 | + | 0.108201i | ||||
\(310\) | −2.03539 | + | 0.627835i | −0.115602 | + | 0.0356586i | ||||
\(311\) | −7.39363 | − | 18.8386i | −0.419254 | − | 1.06824i | −0.972019 | − | 0.234904i | \(-0.924522\pi\) |
0.552764 | − | 0.833338i | \(-0.313573\pi\) | |||||||
\(312\) | −8.16232 | + | 14.1376i | −0.462101 | + | 0.800382i | ||||
\(313\) | 6.09673 | + | 10.5598i | 0.344607 | + | 0.596877i | 0.985282 | − | 0.170935i | \(-0.0546787\pi\) |
−0.640675 | + | 0.767812i | \(0.721345\pi\) | |||||||
\(314\) | −6.63194 | + | 8.31619i | −0.374262 | + | 0.469310i | ||||
\(315\) | 6.58243 | − | 4.03007i | 0.370878 | − | 0.227069i | ||||
\(316\) | −0.512306 | − | 0.642411i | −0.0288194 | − | 0.0361384i | ||||
\(317\) | 3.17739 | − | 8.09587i | 0.178460 | − | 0.454709i | −0.813452 | − | 0.581631i | \(-0.802415\pi\) |
0.991913 | + | 0.126922i | \(0.0405098\pi\) | |||||||
\(318\) | 3.47895 | − | 46.4233i | 0.195090 | − | 2.60329i | ||||
\(319\) | −1.01891 | + | 13.5965i | −0.0570482 | + | 0.761256i | ||||
\(320\) | −0.743215 | + | 1.89368i | −0.0415470 | + | 0.105860i | ||||
\(321\) | −14.4012 | − | 18.0585i | −0.803796 | − | 1.00793i | ||||
\(322\) | 2.63632 | − | 0.266051i | 0.146916 | − | 0.0148264i | ||||
\(323\) | −0.649876 | + | 0.814918i | −0.0361600 | + | 0.0453433i | ||||
\(324\) | −5.73639 | − | 9.93571i | −0.318688 | − | 0.551984i | ||||
\(325\) | −5.18147 | + | 8.97457i | −0.287416 | + | 0.497820i | ||||
\(326\) | −1.63850 | − | 4.17482i | −0.0907479 | − | 0.231222i | ||||
\(327\) | −59.1150 | + | 18.2346i | −3.26907 | + | 1.00837i | ||||
\(328\) | 13.2009 | − | 6.35723i | 0.728899 | − | 0.351019i | ||||
\(329\) | 6.62960 | + | 12.9047i | 0.365502 | + | 0.711458i | ||||
\(330\) | −4.03811 | − | 1.94465i | −0.222291 | − | 0.107050i | ||||
\(331\) | 31.1121 | + | 4.68939i | 1.71007 | + | 0.257752i | 0.929901 | − | 0.367811i | \(-0.119893\pi\) |
0.780173 | + | 0.625563i | \(0.215131\pi\) | |||||||
\(332\) | 2.38797 | − | 1.62809i | 0.131057 | − | 0.0893531i | ||||
\(333\) | −22.8907 | − | 21.2395i | −1.25440 | − | 1.16392i | ||||
\(334\) | −8.06069 | − | 5.49568i | −0.441061 | − | 0.300710i | ||||
\(335\) | −0.157703 | − | 0.690940i | −0.00861621 | − | 0.0377501i | ||||
\(336\) | 37.2388 | − | 15.7345i | 2.03154 | − | 0.858388i | ||||
\(337\) | 6.27847 | − | 27.5078i | 0.342010 | − | 1.49844i | −0.452814 | − | 0.891605i | \(-0.649580\pi\) |
0.794824 | − | 0.606840i | \(-0.207563\pi\) | |||||||
\(338\) | −9.75983 | + | 9.05580i | −0.530865 | + | 0.492570i | ||||
\(339\) | 10.6862 | − | 1.61069i | 0.580397 | − | 0.0874808i | ||||
\(340\) | −0.126601 | − | 0.0390512i | −0.00686590 | − | 0.00211785i | ||||
\(341\) | 0.562636 | + | 7.50786i | 0.0304685 | + | 0.406573i | ||||
\(342\) | 18.1534 | 0.981626 | ||||||||
\(343\) | 6.72254 | − | 17.2571i | 0.362983 | − | 0.931796i | ||||
\(344\) | 14.6724 | 0.791085 | ||||||||
\(345\) | −0.0604539 | − | 0.806701i | −0.00325473 | − | 0.0434313i | ||||
\(346\) | 24.8692 | + | 7.67113i | 1.33698 | + | 0.412402i | ||||
\(347\) | −7.05711 | + | 1.06369i | −0.378846 | + | 0.0571018i | −0.335705 | − | 0.941967i | \(-0.608974\pi\) |
−0.0431407 | + | 0.999069i | \(0.513736\pi\) | |||||||
\(348\) | 7.24683 | − | 6.72408i | 0.388471 | − | 0.360448i | ||||
\(349\) | −6.57045 | + | 28.7870i | −0.351708 | + | 1.54093i | 0.421528 | + | 0.906815i | \(0.361494\pi\) |
−0.773236 | + | 0.634118i | \(0.781363\pi\) | |||||||
\(350\) | 18.6605 | − | 7.88462i | 0.997447 | − | 0.421451i | ||||
\(351\) | −6.65836 | − | 29.1722i | −0.355397 | − | 1.55710i | ||||
\(352\) | −5.07596 | − | 3.46073i | −0.270550 | − | 0.184458i | ||||
\(353\) | 11.9275 | + | 11.0671i | 0.634838 | + | 0.589044i | 0.930519 | − | 0.366243i | \(-0.119356\pi\) |
−0.295681 | + | 0.955287i | \(0.595547\pi\) | |||||||
\(354\) | −35.0033 | + | 23.8648i | −1.86040 | + | 1.26840i | ||||
\(355\) | −0.823407 | − | 0.124109i | −0.0437019 | − | 0.00658700i | ||||
\(356\) | 5.77654 | + | 2.78183i | 0.306156 | + | 0.147437i | ||||
\(357\) | −2.59394 | − | 5.04916i | −0.137286 | − | 0.267230i | ||||
\(358\) | −23.0333 | + | 11.0923i | −1.21735 | + | 0.586244i | ||||
\(359\) | −25.0707 | + | 7.73328i | −1.32318 | + | 0.408147i | −0.874275 | − | 0.485432i | \(-0.838662\pi\) |
−0.448906 | + | 0.893579i | \(0.648186\pi\) | |||||||
\(360\) | −2.52741 | − | 6.43974i | −0.133206 | − | 0.339404i | ||||
\(361\) | 8.27900 | − | 14.3397i | 0.435737 | − | 0.754719i | ||||
\(362\) | 5.92107 | + | 10.2556i | 0.311204 | + | 0.539022i | ||||
\(363\) | 12.1835 | − | 15.2776i | 0.639467 | − | 0.801866i | ||||
\(364\) | −2.81808 | + | 0.284394i | −0.147708 | + | 0.0149063i | ||||
\(365\) | −3.57808 | − | 4.48677i | −0.187285 | − | 0.234848i | ||||
\(366\) | 17.6291 | − | 44.9183i | 0.921489 | − | 2.34792i | ||||
\(367\) | 1.57231 | − | 20.9810i | 0.0820740 | − | 1.09520i | −0.792359 | − | 0.610055i | \(-0.791147\pi\) |
0.874433 | − | 0.485146i | \(-0.161234\pi\) | |||||||
\(368\) | 0.224838 | − | 3.00025i | 0.0117205 | − | 0.156399i | ||||
\(369\) | −16.5835 | + | 42.2541i | −0.863302 | + | 2.19966i | ||||
\(370\) | 1.66386 | + | 2.08642i | 0.0865000 | + | 0.108468i | ||||
\(371\) | −20.6529 | + | 12.6447i | −1.07225 | + | 0.656479i | ||||
\(372\) | 3.40356 | − | 4.26792i | 0.176466 | − | 0.221282i | ||||
\(373\) | 2.07271 | + | 3.59004i | 0.107321 | + | 0.185885i | 0.914684 | − | 0.404170i | \(-0.132439\pi\) |
−0.807363 | + | 0.590055i | \(0.799106\pi\) | |||||||
\(374\) | −1.17030 | + | 2.02702i | −0.0605147 | + | 0.104814i | ||||
\(375\) | −4.59269 | − | 11.7020i | −0.237165 | − | 0.604288i | ||||
\(376\) | 12.4261 | − | 3.83295i | 0.640829 | − | 0.197670i | ||||
\(377\) | 11.8460 | − | 5.70475i | 0.610102 | − | 0.293810i | ||||
\(378\) | −24.0126 | + | 53.3375i | −1.23508 | + | 2.74338i | ||||
\(379\) | 17.7420 | + | 8.54409i | 0.911344 | + | 0.438880i | 0.829973 | − | 0.557804i | \(-0.188356\pi\) |
0.0813713 | + | 0.996684i | \(0.474070\pi\) | |||||||
\(380\) | −0.306930 | − | 0.0462622i | −0.0157452 | − | 0.00237320i | ||||
\(381\) | −11.6904 | + | 7.97038i | −0.598917 | + | 0.408335i | ||||
\(382\) | −25.6343 | − | 23.7852i | −1.31157 | − | 1.21696i | ||||
\(383\) | −3.72147 | − | 2.53725i | −0.190158 | − | 0.129648i | 0.464499 | − | 0.885574i | \(-0.346235\pi\) |
−0.654657 | + | 0.755926i | \(0.727187\pi\) | |||||||
\(384\) | −9.76131 | − | 42.7671i | −0.498130 | − | 2.18245i | ||||
\(385\) | 0.406788 | + | 2.29568i | 0.0207318 | + | 0.116999i | ||||
\(386\) | −7.39613 | + | 32.4046i | −0.376453 | + | 1.64935i | ||||
\(387\) | −33.3211 | + | 30.9175i | −1.69381 | + | 1.57162i | ||||
\(388\) | 4.74626 | − | 0.715383i | 0.240955 | − | 0.0363181i | ||||
\(389\) | 24.0346 | + | 7.41368i | 1.21860 | + | 0.375889i | 0.836363 | − | 0.548175i | \(-0.184677\pi\) |
0.382238 | + | 0.924064i | \(0.375154\pi\) | |||||||
\(390\) | 0.322987 | + | 4.30996i | 0.0163551 | + | 0.218243i | ||||
\(391\) | −0.422461 | −0.0213648 | ||||||||
\(392\) | −14.1793 | − | 8.63197i | −0.716164 | − | 0.435980i | ||||
\(393\) | 28.9441 | 1.46004 | ||||||||
\(394\) | −1.76288 | − | 23.5240i | −0.0888127 | − | 1.18512i | ||||
\(395\) | 0.623240 | + | 0.192244i | 0.0313586 | + | 0.00967285i | ||||
\(396\) | 8.06495 | − | 1.21560i | 0.405279 | − | 0.0610860i | ||||
\(397\) | 17.3530 | − | 16.1013i | 0.870924 | − | 0.808100i | −0.111693 | − | 0.993743i | \(-0.535627\pi\) |
0.982617 | + | 0.185643i | \(0.0594369\pi\) | |||||||
\(398\) | −3.84757 | + | 16.8573i | −0.192861 | + | 0.844980i | ||||
\(399\) | −7.77240 | − | 10.7915i | −0.389107 | − | 0.540252i | ||||
\(400\) | −5.11848 | − | 22.4255i | −0.255924 | − | 1.12128i | ||||
\(401\) | −11.0137 | − | 7.50901i | −0.549997 | − | 0.374982i | 0.256204 | − | 0.966623i | \(-0.417528\pi\) |
−0.806202 | + | 0.591641i | \(0.798480\pi\) | |||||||
\(402\) | 6.65468 | + | 6.17464i | 0.331905 | + | 0.307963i | ||||
\(403\) | 5.99873 | − | 4.08986i | 0.298818 | − | 0.203731i | ||||
\(404\) | −6.13109 | − | 0.924112i | −0.305033 | − | 0.0459763i | ||||
\(405\) | 8.20484 | + | 3.95124i | 0.407702 | + | 0.196339i | ||||
\(406\) | −25.1971 | − | 5.07158i | −1.25051 | − | 0.251698i | ||||
\(407\) | 8.49857 | − | 4.09269i | 0.421258 | − | 0.202867i | ||||
\(408\) | −4.86192 | + | 1.49970i | −0.240701 | + | 0.0742464i | ||||
\(409\) | 12.0442 | + | 30.6881i | 0.595547 | + | 1.51743i | 0.837104 | + | 0.547043i | \(0.184247\pi\) |
−0.241557 | + | 0.970387i | \(0.577658\pi\) | |||||||
\(410\) | 1.93959 | − | 3.35947i | 0.0957896 | − | 0.165913i | ||||
\(411\) | −21.6074 | − | 37.4252i | −1.06582 | − | 1.84605i | ||||
\(412\) | −0.425050 | + | 0.532996i | −0.0209407 | + | 0.0262588i | ||||
\(413\) | 20.7147 | + | 7.51974i | 1.01930 | + | 0.370022i | ||||
\(414\) | 4.58748 | + | 5.75252i | 0.225462 | + | 0.282721i | ||||
\(415\) | −0.838135 | + | 2.13553i | −0.0411424 | + | 0.104829i | ||||
\(416\) | −0.442720 | + | 5.90769i | −0.0217061 | + | 0.289648i | ||||
\(417\) | 0.399360 | − | 5.32908i | 0.0195567 | − | 0.260966i | ||||
\(418\) | −2.00340 | + | 5.10459i | −0.0979897 | + | 0.249674i | ||||
\(419\) | −24.5840 | − | 30.8274i | −1.20101 | − | 1.50602i | −0.810834 | − | 0.585276i | \(-0.800986\pi\) |
−0.390175 | − | 0.920741i | \(-0.627585\pi\) | |||||||
\(420\) | 0.915935 | − | 1.42077i | 0.0446930 | − | 0.0693267i | ||||
\(421\) | −2.04607 | + | 2.56569i | −0.0997194 | + | 0.125044i | −0.829187 | − | 0.558971i | \(-0.811196\pi\) |
0.729468 | + | 0.684015i | \(0.239768\pi\) | |||||||
\(422\) | 13.4032 | + | 23.2150i | 0.652458 | + | 1.13009i | ||||
\(423\) | −20.1430 | + | 34.8888i | −0.979388 | + | 1.69635i | ||||
\(424\) | 7.92996 | + | 20.2052i | 0.385113 | + | 0.981252i | ||||
\(425\) | −3.08636 | + | 0.952017i | −0.149711 | + | 0.0461796i | ||||
\(426\) | 9.61008 | − | 4.62797i | 0.465610 | − | 0.224226i | ||||
\(427\) | −24.3194 | + | 6.21435i | −1.17690 | + | 0.300733i | ||||
\(428\) | −3.23633 | − | 1.55853i | −0.156434 | − | 0.0753346i | ||||
\(429\) | 15.1064 | + | 2.27692i | 0.729342 | + | 0.109931i | ||||
\(430\) | 3.20962 | − | 2.18828i | 0.154782 | − | 0.105528i | ||||
\(431\) | −5.09321 | − | 4.72581i | −0.245331 | − | 0.227634i | 0.547917 | − | 0.836533i | \(-0.315421\pi\) |
−0.793248 | + | 0.608899i | \(0.791612\pi\) | |||||||
\(432\) | 54.8769 | + | 37.4144i | 2.64026 | + | 1.80010i | ||||
\(433\) | −2.49996 | − | 10.9530i | −0.120140 | − | 0.526370i | −0.998802 | − | 0.0489252i | \(-0.984420\pi\) |
0.878662 | − | 0.477444i | \(-0.158437\pi\) | |||||||
\(434\) | −14.1756 | − | 0.695485i | −0.680452 | − | 0.0333843i | ||||
\(435\) | −1.74613 | + | 7.65029i | −0.0837205 | + | 0.366803i | ||||
\(436\) | −7.05250 | + | 6.54376i | −0.337753 | + | 0.313389i | ||||
\(437\) | −0.978707 | + | 0.147516i | −0.0468179 | + | 0.00705666i | ||||
\(438\) | 70.2440 | + | 21.6674i | 3.35639 | + | 1.03531i | ||||
\(439\) | −2.24897 | − | 30.0104i | −0.107337 | − | 1.43232i | −0.747594 | − | 0.664156i | \(-0.768791\pi\) |
0.640257 | − | 0.768161i | \(-0.278828\pi\) | |||||||
\(440\) | 2.08972 | 0.0996236 | ||||||||
\(441\) | 50.3904 | − | 10.2752i | 2.39954 | − | 0.489295i | ||||
\(442\) | 2.25708 | 0.107359 | ||||||||
\(443\) | −0.990368 | − | 13.2155i | −0.0470538 | − | 0.627889i | −0.970023 | − | 0.243015i | \(-0.921864\pi\) |
0.922969 | − | 0.384875i | \(-0.125755\pi\) | |||||||
\(444\) | −6.53538 | − | 2.01590i | −0.310156 | − | 0.0956703i | ||||
\(445\) | −5.03236 | + | 0.758506i | −0.238557 | + | 0.0359566i | ||||
\(446\) | 25.0134 | − | 23.2090i | 1.18442 | − | 1.09898i | ||||
\(447\) | −6.49307 | + | 28.4480i | −0.307112 | + | 1.34554i | ||||
\(448\) | −8.96052 | + | 10.1708i | −0.423345 | + | 0.480525i | ||||
\(449\) | 8.14714 | + | 35.6949i | 0.384487 | + | 1.68455i | 0.683221 | + | 0.730212i | \(0.260579\pi\) |
−0.298734 | + | 0.954336i | \(0.596564\pi\) | |||||||
\(450\) | 46.4780 | + | 31.6881i | 2.19099 | + | 1.49379i | ||||
\(451\) | −10.0513 | − | 9.32627i | −0.473299 | − | 0.439157i | ||||
\(452\) | 1.38862 | − | 0.946743i | 0.0653151 | − | 0.0445311i | ||||
\(453\) | 29.1193 | + | 4.38903i | 1.36814 | + | 0.206214i | ||||
\(454\) | −24.0744 | − | 11.5936i | −1.12987 | − | 0.544116i | ||||
\(455\) | 1.72104 | − | 1.44660i | 0.0806838 | − | 0.0678178i | ||||
\(456\) | −10.7398 | + | 5.17203i | −0.502939 | + | 0.242203i | ||||
\(457\) | −8.03564 | + | 2.47867i | −0.375892 | + | 0.115947i | −0.476943 | − | 0.878934i | \(-0.658255\pi\) |
0.101052 | + | 0.994881i | \(0.467779\pi\) | |||||||
\(458\) | −11.6493 | − | 29.6818i | −0.544334 | − | 1.38694i | ||||
\(459\) | 4.66302 | − | 8.07658i | 0.217651 | − | 0.376982i | ||||
\(460\) | −0.0629032 | − | 0.108952i | −0.00293288 | − | 0.00507989i | ||||
\(461\) | −12.9757 | + | 16.2710i | −0.604338 | + | 0.757816i | −0.986047 | − | 0.166467i | \(-0.946764\pi\) |
0.381709 | + | 0.924282i | \(0.375336\pi\) | |||||||
\(462\) | −20.8702 | − | 21.3611i | −0.970971 | − | 0.993808i | ||||
\(463\) | 1.03419 | + | 1.29683i | 0.0480628 | + | 0.0602689i | 0.805282 | − | 0.592892i | \(-0.202014\pi\) |
−0.757219 | + | 0.653161i | \(0.773443\pi\) | |||||||
\(464\) | −10.6622 | + | 27.1670i | −0.494982 | + | 1.26119i | ||||
\(465\) | −0.323811 | + | 4.32095i | −0.0150164 | + | 0.200379i | ||||
\(466\) | 0.104394 | − | 1.39303i | 0.00483594 | − | 0.0645311i | ||||
\(467\) | 12.4402 | − | 31.6972i | 0.575665 | − | 1.46677i | −0.285467 | − | 0.958389i | \(-0.592149\pi\) |
0.861132 | − | 0.508382i | \(-0.169756\pi\) | |||||||
\(468\) | −4.90377 | − | 6.14913i | −0.226677 | − | 0.284244i | ||||
\(469\) | 0.583227 | − | 4.68609i | 0.0269309 | − | 0.216384i | ||||
\(470\) | 2.14658 | − | 2.69173i | 0.0990144 | − | 0.124160i | ||||
\(471\) | 10.8191 | + | 18.7393i | 0.498520 | + | 0.863462i | ||||
\(472\) | 9.87628 | − | 17.1062i | 0.454593 | − | 0.787378i | ||||
\(473\) | −5.01643 | − | 12.7817i | −0.230656 | − | 0.587701i | ||||
\(474\) | −7.98326 | + | 2.46251i | −0.366683 | + | 0.113107i | ||||
\(475\) | −6.81768 | + | 3.28322i | −0.312817 | + | 0.150645i | ||||
\(476\) | −0.704145 | − | 0.532434i | −0.0322744 | − | 0.0244041i | ||||
\(477\) | −60.5850 | − | 29.1762i | −2.77400 | − | 1.33589i | ||||
\(478\) | 3.75207 | + | 0.565534i | 0.171616 | + | 0.0258669i | ||||
\(479\) | 20.7558 | − | 14.1511i | 0.948358 | − | 0.646580i | 0.0128625 | − | 0.999917i | \(-0.495906\pi\) |
0.935496 | + | 0.353337i | \(0.114953\pi\) | |||||||
\(480\) | −2.59186 | − | 2.40489i | −0.118301 | − | 0.109768i | ||||
\(481\) | −7.51558 | − | 5.12404i | −0.342681 | − | 0.233636i | ||||
\(482\) | 7.33862 | + | 32.1526i | 0.334265 | + | 1.46451i | ||||
\(483\) | 1.45552 | − | 5.19002i | 0.0662285 | − | 0.236154i | ||||
\(484\) | 0.676218 | − | 2.96271i | 0.0307372 | − | 0.134668i | ||||
\(485\) | −2.79290 | + | 2.59144i | −0.126819 | + | 0.117671i | ||||
\(486\) | −49.7625 | + | 7.50049i | −2.25727 | + | 0.340229i | ||||
\(487\) | −22.1127 | − | 6.82086i | −1.00202 | − | 0.309083i | −0.250018 | − | 0.968241i | \(-0.580436\pi\) |
−0.752004 | + | 0.659158i | \(0.770913\pi\) | |||||||
\(488\) | 1.68131 | + | 22.4355i | 0.0761094 | + | 1.01561i | ||||
\(489\) | −9.12344 | −0.412576 | ||||||||
\(490\) | −4.38914 | + | 0.226480i | −0.198281 | + | 0.0102313i | ||||
\(491\) | −16.8361 | −0.759804 | −0.379902 | − | 0.925027i | \(-0.624042\pi\) | ||||
−0.379902 | + | 0.925027i | \(0.624042\pi\) | |||||||
\(492\) | 0.742943 | + | 9.91389i | 0.0334945 | + | 0.446953i | ||||
\(493\) | 3.91586 | + | 1.20788i | 0.176362 | + | 0.0544003i | ||||
\(494\) | 5.22894 | − | 0.788135i | 0.235261 | − | 0.0354599i | ||||
\(495\) | −4.74576 | + | 4.40343i | −0.213306 | + | 0.197919i | ||||
\(496\) | −3.58601 | + | 15.7113i | −0.161017 | + | 0.705459i | ||||
\(497\) | −4.87502 | − | 2.64947i | −0.218675 | − | 0.118845i | ||||
\(498\) | −6.53900 | − | 28.6492i | −0.293019 | − | 1.28380i | ||||
\(499\) | 7.00724 | + | 4.77746i | 0.313687 | + | 0.213868i | 0.709921 | − | 0.704281i | \(-0.248731\pi\) |
−0.396234 | + | 0.918150i | \(0.629683\pi\) | |||||||
\(500\) | −1.43310 | − | 1.32973i | −0.0640903 | − | 0.0594671i | ||||
\(501\) | −16.3977 | + | 11.1798i | −0.732596 | + | 0.499476i | ||||
\(502\) | −41.3279 | − | 6.22918i | −1.84455 | − | 0.278022i | ||||
\(503\) | 30.2302 | + | 14.5581i | 1.34790 | + | 0.649113i | 0.961904 | − | 0.273388i | \(-0.0881444\pi\) |
0.385993 | + | 0.922502i | \(0.373859\pi\) | |||||||
\(504\) | −1.18808 | − | 46.0802i | −0.0529213 | − | 2.05257i | ||||
\(505\) | 4.43422 | − | 2.13541i | 0.197320 | − | 0.0950244i | ||||
\(506\) | −2.12383 | + | 0.655115i | −0.0944158 | + | 0.0291234i | ||||
\(507\) | 9.89504 | + | 25.2122i | 0.439454 | + | 1.11971i | ||||
\(508\) | −1.10019 | + | 1.90559i | −0.0488130 | + | 0.0845467i | ||||
\(509\) | −11.3032 | − | 19.5777i | −0.501005 | − | 0.867765i | −0.999999 | − | 0.00116035i | \(-0.999631\pi\) |
0.498995 | − | 0.866605i | \(-0.333703\pi\) | |||||||
\(510\) | −0.839884 | + | 1.05318i | −0.0371907 | + | 0.0466356i | ||||
\(511\) | −12.2091 | − | 36.2371i | −0.540097 | − | 1.60303i | ||||
\(512\) | 5.84834 | + | 7.33358i | 0.258462 | + | 0.324102i | ||||
\(513\) | 7.98250 | − | 20.3391i | 0.352436 | − | 0.897992i | ||||
\(514\) | −1.33085 | + | 17.7590i | −0.0587015 | + | 0.783317i | ||||
\(515\) | 0.0404388 | − | 0.539618i | 0.00178195 | − | 0.0237784i | ||||
\(516\) | −3.63719 | + | 9.26741i | −0.160118 | + | 0.407975i | ||||
\(517\) | −7.58745 | − | 9.51436i | −0.333695 | − | 0.418441i | ||||
\(518\) | 5.67739 | + | 16.8508i | 0.249450 | + | 0.740381i | ||||
\(519\) | 33.0095 | − | 41.3926i | 1.44896 | − | 1.81693i | ||||
\(520\) | −1.00758 | − | 1.74518i | −0.0441853 | − | 0.0765312i | ||||
\(521\) | 5.31567 | − | 9.20700i | 0.232884 | − | 0.403366i | −0.725772 | − | 0.687935i | \(-0.758517\pi\) |
0.958655 | + | 0.284569i | \(0.0918506\pi\) | |||||||
\(522\) | −26.0747 | − | 66.4374i | −1.14126 | − | 2.90788i | ||||
\(523\) | 12.9549 | − | 3.99605i | 0.566478 | − | 0.174735i | 0.00172948 | − | 0.999999i | \(-0.499449\pi\) |
0.564748 | + | 0.825263i | \(0.308973\pi\) | |||||||
\(524\) | 4.05550 | − | 1.95302i | 0.177165 | − | 0.0853183i | ||||
\(525\) | −1.06217 | − | 41.1966i | −0.0463568 | − | 1.79797i | ||||
\(526\) | 31.7810 | + | 15.3049i | 1.38572 | + | 0.667326i | ||||
\(527\) | 2.23756 | + | 0.337259i | 0.0974699 | + | 0.0146912i | ||||
\(528\) | −28.0176 | + | 19.1021i | −1.21931 | + | 0.831310i | ||||
\(529\) | 16.5661 | + | 15.3711i | 0.720266 | + | 0.668309i | ||||
\(530\) | 4.74814 | + | 3.23723i | 0.206246 | + | 0.140616i | ||||
\(531\) | 13.6169 | + | 59.6594i | 0.590922 | + | 2.58900i | ||||
\(532\) | −1.81719 | − | 0.987603i | −0.0787853 | − | 0.0428180i | ||||
\(533\) | −2.94226 | + | 12.8909i | −0.127443 | + | 0.558366i | ||||
\(534\) | 47.7869 | − | 44.3398i | 2.06794 | − | 1.91877i | ||||
\(535\) | 2.81940 | − | 0.424957i | 0.121893 | − | 0.0183725i | ||||
\(536\) | −4.04461 | − | 1.24760i | −0.174701 | − | 0.0538880i | ||||
\(537\) | 3.88646 | + | 51.8612i | 0.167713 | + | 2.23798i | ||||
\(538\) | 31.4951 | 1.35785 | ||||||||
\(539\) | −2.67176 | + | 15.3033i | −0.115081 | + | 0.659160i | ||||
\(540\) | 2.77724 | 0.119513 | ||||||||
\(541\) | 1.80015 | + | 24.0213i | 0.0773944 | + | 1.03276i | 0.891791 | + | 0.452448i | \(0.149449\pi\) |
−0.814396 | + | 0.580309i | \(0.802932\pi\) | |||||||
\(542\) | 15.4553 | + | 4.76733i | 0.663862 | + | 0.204774i | ||||
\(543\) | 23.8212 | − | 3.59047i | 1.02227 | − | 0.154082i | ||||
\(544\) | −1.35353 | + | 1.25589i | −0.0580322 | + | 0.0538461i | ||||
\(545\) | 1.69930 | − | 7.44514i | 0.0727902 | − | 0.318915i | ||||
\(546\) | −7.77641 | + | 27.7287i | −0.332800 | + | 1.18668i | ||||
\(547\) | 3.58775 | + | 15.7189i | 0.153401 | + | 0.672093i | 0.991882 | + | 0.127163i | \(0.0405870\pi\) |
−0.838481 | + | 0.544931i | \(0.816556\pi\) | |||||||
\(548\) | −5.55281 | − | 3.78584i | −0.237204 | − | 0.161723i | ||||
\(549\) | −51.0940 | − | 47.4083i | −2.18064 | − | 2.02334i | ||||
\(550\) | −14.0397 | + | 9.57211i | −0.598655 | + | 0.408156i | ||||
\(551\) | 9.49356 | + | 1.43092i | 0.404439 | + | 0.0609594i | ||||
\(552\) | −4.35295 | − | 2.09627i | −0.185274 | − | 0.0892232i | ||||
\(553\) | 3.46641 | + | 2.62111i | 0.147407 | + | 0.111461i | ||||
\(554\) | 11.1966 | − | 5.39198i | 0.475696 | − | 0.229083i | ||||
\(555\) | 5.18756 | − | 1.60015i | 0.220200 | − | 0.0679226i | ||||
\(556\) | −0.303628 | − | 0.773630i | −0.0128767 | − | 0.0328092i | ||||
\(557\) | 4.30428 | − | 7.45523i | 0.182378 | − | 0.315888i | −0.760312 | − | 0.649558i | \(-0.774954\pi\) |
0.942690 | + | 0.333670i | \(0.108287\pi\) | |||||||
\(558\) | −19.7052 | − | 34.1305i | −0.834189 | − | 1.44486i | ||||
\(559\) | −8.25557 | + | 10.3522i | −0.349173 | + | 0.437849i | ||||
\(560\) | −0.616342 | + | 4.95216i | −0.0260452 | + | 0.209267i | ||||
\(561\) | 2.96871 | + | 3.72264i | 0.125339 | + | 0.157170i | ||||
\(562\) | −6.64168 | + | 16.9227i | −0.280162 | + | 0.713842i | ||||
\(563\) | 0.649338 | − | 8.66481i | 0.0273663 | − | 0.365178i | −0.966662 | − | 0.256056i | \(-0.917577\pi\) |
0.994028 | − | 0.109122i | \(-0.0348040\pi\) | |||||||
\(564\) | −0.659376 | + | 8.79876i | −0.0277647 | + | 0.370495i | ||||
\(565\) | −0.487380 | + | 1.24182i | −0.0205042 | + | 0.0522439i | ||||
\(566\) | 7.96782 | + | 9.99133i | 0.334912 | + | 0.419967i | ||||
\(567\) | 42.4052 | + | 43.4026i | 1.78085 | + | 1.82274i | ||||
\(568\) | −3.10075 | + | 3.88822i | −0.130105 | + | 0.163146i | ||||
\(569\) | −16.8304 | − | 29.1511i | −0.705566 | − | 1.22208i | −0.966487 | − | 0.256716i | \(-0.917359\pi\) |
0.260921 | − | 0.965360i | \(-0.415974\pi\) | |||||||
\(570\) | −1.57799 | + | 2.73315i | −0.0660946 | + | 0.114479i | ||||
\(571\) | 4.06138 | + | 10.3482i | 0.169964 | + | 0.433060i | 0.990322 | − | 0.138790i | \(-0.0443212\pi\) |
−0.820358 | + | 0.571850i | \(0.806226\pi\) | |||||||
\(572\) | 2.27026 | − | 0.700283i | 0.0949243 | − | 0.0292803i | ||||
\(573\) | −64.0928 | + | 30.8654i | −2.67751 | + | 1.28942i | ||||
\(574\) | 19.7864 | − | 16.6313i | 0.825870 | − | 0.694175i | ||||
\(575\) | −2.76327 | − | 1.33072i | −0.115236 | − | 0.0554948i | ||||
\(576\) | −37.2191 | − | 5.60988i | −1.55080 | − | 0.233745i | ||||
\(577\) | 20.0464 | − | 13.6674i | 0.834542 | − | 0.568981i | −0.0689333 | − | 0.997621i | \(-0.521960\pi\) |
0.903475 | + | 0.428640i | \(0.141007\pi\) | |||||||
\(578\) | −19.1892 | − | 17.8050i | −0.798166 | − | 0.740590i | ||||
\(579\) | 55.8664 | + | 38.0891i | 2.32173 | + | 1.58293i | ||||
\(580\) | 0.271550 | + | 1.18974i | 0.0112755 | + | 0.0494012i | ||||
\(581\) | −10.1049 | + | 11.4698i | −0.419222 | + | 0.475846i | ||||
\(582\) | 10.8597 | − | 47.5793i | 0.450148 | − | 1.97223i | ||||
\(583\) | 14.8902 | − | 13.8161i | 0.616690 | − | 0.572205i | ||||
\(584\) | −33.8913 | + | 5.10829i | −1.40243 | + | 0.211382i | ||||
\(585\) | 5.96563 | + | 1.84015i | 0.246649 | + | 0.0760810i | ||||
\(586\) | −0.580090 | − | 7.74076i | −0.0239633 | − | 0.319768i | ||||
\(587\) | 18.8678 | 0.778758 | 0.389379 | − | 0.921078i | \(-0.372690\pi\) | ||||
0.389379 | + | 0.921078i | \(0.372690\pi\) | |||||||
\(588\) | 8.96708 | − | 6.81615i | 0.369796 | − | 0.281093i | ||||
\(589\) | 5.30148 | 0.218444 | ||||||||
\(590\) | −0.390809 | − | 5.21499i | −0.0160894 | − | 0.214698i | ||||
\(591\) | −45.8567 | − | 14.1449i | −1.88629 | − | 0.581844i | ||||
\(592\) | 19.9648 | − | 3.00922i | 0.820550 | − | 0.123678i | ||||
\(593\) | 12.9227 | − | 11.9905i | 0.530671 | − | 0.492391i | −0.368717 | − | 0.929542i | \(-0.620203\pi\) |
0.899388 | + | 0.437151i | \(0.144012\pi\) | |||||||
\(594\) | 10.9178 | − | 47.8342i | 0.447965 | − | 1.96266i | ||||
\(595\) | 0.699880 | + | 0.0343375i | 0.0286923 | + | 0.00140770i | ||||
\(596\) | 1.00977 | + | 4.42411i | 0.0413620 | + | 0.181219i | ||||
\(597\) | 29.0625 | + | 19.8145i | 1.18945 | + | 0.810952i | ||||
\(598\) | 1.57113 | + | 1.45780i | 0.0642483 | + | 0.0596137i | ||||
\(599\) | −25.9776 | + | 17.7112i | −1.06142 | + | 0.723661i | −0.962458 | − | 0.271431i | \(-0.912503\pi\) |
−0.0989578 | + | 0.995092i | \(0.531551\pi\) | |||||||
\(600\) | −36.5252 | − | 5.50528i | −1.49113 | − | 0.224752i | ||||
\(601\) | −10.7945 | − | 5.19834i | −0.440315 | − | 0.212045i | 0.200573 | − | 0.979679i | \(-0.435720\pi\) |
−0.640888 | + | 0.767634i | \(0.721434\pi\) | |||||||
\(602\) | 25.0780 | − | 6.40820i | 1.02210 | − | 0.261179i | ||||
\(603\) | 11.8142 | − | 5.68944i | 0.481113 | − | 0.231692i | ||||
\(604\) | 4.37619 | − | 1.34988i | 0.178065 | − | 0.0549257i | ||||
\(605\) | 0.881265 | + | 2.24543i | 0.0358285 | + | 0.0912895i | ||||
\(606\) | −31.5211 | + | 54.5962i | −1.28046 | + | 2.21782i | ||||
\(607\) | 16.2197 | + | 28.0934i | 0.658338 | + | 1.14028i | 0.981046 | + | 0.193777i | \(0.0620737\pi\) |
−0.322707 | + | 0.946499i | \(0.604593\pi\) | |||||||
\(608\) | −2.69716 | + | 3.38214i | −0.109384 | + | 0.137164i | ||||
\(609\) | −28.3305 | + | 43.9456i | −1.14801 | + | 1.78077i | ||||
\(610\) | 3.71388 | + | 4.65706i | 0.150371 | + | 0.188559i | ||||
\(611\) | −4.28732 | + | 10.9239i | −0.173446 | + | 0.441934i | ||||
\(612\) | 0.183188 | − | 2.44447i | 0.00740493 | − | 0.0988119i | ||||
\(613\) | −1.88786 | + | 25.1917i | −0.0762498 | + | 1.01748i | 0.819545 | + | 0.573015i | \(0.194226\pi\) |
−0.895795 | + | 0.444468i | \(0.853393\pi\) | |||||||
\(614\) | 3.22078 | − | 8.20641i | 0.129980 | − | 0.331184i | ||||
\(615\) | −4.92019 | − | 6.16972i | −0.198401 | − | 0.248787i | ||||
\(616\) | 13.0885 | + | 4.75130i | 0.527349 | + | 0.191435i | ||||
\(617\) | −14.9776 | + | 18.7813i | −0.602974 | + | 0.756105i | −0.985838 | − | 0.167699i | \(-0.946366\pi\) |
0.382865 | + | 0.923805i | \(0.374938\pi\) | |||||||
\(618\) | 3.46575 | + | 6.00286i | 0.139413 | + | 0.241470i | ||||
\(619\) | −11.6230 | + | 20.1316i | −0.467166 | + | 0.809156i | −0.999296 | − | 0.0375069i | \(-0.988058\pi\) |
0.532130 | + | 0.846663i | \(0.321392\pi\) | |||||||
\(620\) | 0.246189 | + | 0.627278i | 0.00988717 | + | 0.0251921i | ||||
\(621\) | 8.46234 | − | 2.61029i | 0.339582 | − | 0.104747i | ||||
\(622\) | −28.8310 | + | 13.8843i | −1.15602 | + | 0.556708i | ||||
\(623\) | −33.2435 | − | 6.69113i | −1.33187 | − | 0.268074i | ||||
\(624\) | 29.4616 | + | 14.1879i | 1.17941 | + | 0.567972i | ||||
\(625\) | −22.4068 | − | 3.37728i | −0.896271 | − | 0.135091i | ||||
\(626\) | 15.9303 | − | 10.8611i | 0.636701 | − | 0.434096i | ||||
\(627\) | 8.17742 | + | 7.58754i | 0.326575 | + | 0.303017i | ||||
\(628\) | 2.78037 | + | 1.89562i | 0.110949 | + | 0.0756436i | ||||
\(629\) | −0.630853 | − | 2.76395i | −0.0251538 | − | 0.110206i | ||||
\(630\) | −7.13240 | − | 9.90292i | −0.284161 | − | 0.394542i | ||||
\(631\) | −0.318104 | + | 1.39370i | −0.0126635 | + | 0.0554824i | −0.980865 | − | 0.194690i | \(-0.937630\pi\) |
0.968201 | + | 0.250172i | \(0.0804872\pi\) | |||||||
\(632\) | 2.85543 | − | 2.64945i | 0.113583 | − | 0.105389i | ||||
\(633\) | 53.9228 | − | 8.12755i | 2.14324 | − | 0.323041i | ||||
\(634\) | −13.1410 | − | 4.05345i | −0.521894 | − | 0.160983i | ||||
\(635\) | −0.130522 | − | 1.74170i | −0.00517963 | − | 0.0691173i | ||||
\(636\) | −14.7278 | −0.583995 | ||||||||
\(637\) | 14.0684 | − | 5.14739i | 0.557410 | − | 0.203947i | ||||
\(638\) | 21.5592 | 0.853537 | ||||||||
\(639\) | −1.15137 | − | 15.3640i | −0.0455476 | − | 0.607790i | ||||
\(640\) | 5.17448 | + | 1.59612i | 0.204539 | + | 0.0630920i | ||||
\(641\) | 23.4003 | − | 3.52703i | 0.924257 | − | 0.139309i | 0.330364 | − | 0.943854i | \(-0.392828\pi\) |
0.593893 | + | 0.804544i | \(0.297590\pi\) | |||||||
\(642\) | −26.7728 | + | 24.8416i | −1.05664 | + | 0.980418i | ||||
\(643\) | 1.85767 | − | 8.13897i | 0.0732592 | − | 0.320969i | −0.924999 | − | 0.379970i | \(-0.875934\pi\) |
0.998258 | + | 0.0590007i | \(0.0187914\pi\) | |||||||
\(644\) | −0.146261 | − | 0.825411i | −0.00576348 | − | 0.0325258i | ||||
\(645\) | −1.75845 | − | 7.70428i | −0.0692390 | − | 0.303356i | ||||
\(646\) | 1.36175 | + | 0.928425i | 0.0535773 | + | 0.0365284i | ||||
\(647\) | −1.33533 | − | 1.23901i | −0.0524973 | − | 0.0487104i | 0.653488 | − | 0.756937i | \(-0.273305\pi\) |
−0.705985 | + | 0.708227i | \(0.749496\pi\) | |||||||
\(648\) | 44.9377 | − | 30.6380i | 1.76532 | − | 1.20357i | ||||
\(649\) | −18.2785 | − | 2.75503i | −0.717492 | − | 0.108145i | ||||
\(650\) | 14.7633 | + | 7.10963i | 0.579064 | + | 0.278863i | ||||
\(651\) | −11.8525 | + | 26.3270i | −0.464534 | + | 1.03184i | ||||
\(652\) | −1.27833 | + | 0.615610i | −0.0500632 | + | 0.0241092i | ||||
\(653\) | −6.66630 | + | 2.05628i | −0.260873 | + | 0.0804685i | −0.422433 | − | 0.906394i | \(-0.638824\pi\) |
0.161560 | + | 0.986863i | \(0.448347\pi\) | |||||||
\(654\) | 35.7374 | + | 91.0575i | 1.39744 | + | 3.56063i | ||||
\(655\) | −1.78647 | + | 3.09426i | −0.0698033 | + | 0.120903i | ||||
\(656\) | −14.6746 | − | 25.4172i | −0.572948 | − | 0.992375i | ||||
\(657\) | 66.2031 | − | 83.0160i | 2.58283 | − | 3.23876i | ||||
\(658\) | 19.5646 | − | 11.9784i | 0.762709 | − | 0.466966i | ||||
\(659\) | −29.5248 | − | 37.0229i | −1.15012 | − | 1.44221i | −0.877171 | − | 0.480178i | \(-0.840572\pi\) |
−0.272950 | − | 0.962028i | \(-0.587999\pi\) | |||||||
\(660\) | −0.518027 | + | 1.31991i | −0.0201642 | + | 0.0513775i | ||||
\(661\) | 0.981557 | − | 13.0980i | 0.0381782 | − | 0.509452i | −0.945032 | − | 0.326977i | \(-0.893970\pi\) |
0.983210 | − | 0.182475i | \(-0.0584109\pi\) | |||||||
\(662\) | 3.71786 | − | 49.6114i | 0.144499 | − | 1.92820i | ||||
\(663\) | 1.67748 | − | 4.27415i | 0.0651480 | − | 0.165994i | ||||
\(664\) | 8.54259 | + | 10.7121i | 0.331517 | + | 0.415709i | ||||
\(665\) | 1.63339 | − | 0.164837i | 0.0633401 | − | 0.00639212i | ||||
\(666\) | −30.7854 | + | 38.6037i | −1.19291 | + | 1.49586i | ||||
\(667\) | 1.94564 | + | 3.36995i | 0.0753356 | + | 0.130485i | ||||
\(668\) | −1.54320 | + | 2.67290i | −0.0597082 | + | 0.103418i | ||||
\(669\) | −25.3599 | − | 64.6160i | −0.980470 | − | 2.49820i | ||||
\(670\) | −1.07083 | + | 0.330309i | −0.0413700 | + | 0.0127609i | ||||
\(671\) | 18.9695 | − | 9.13524i | 0.732310 | − | 0.352662i | ||||
\(672\) | −10.7656 | − | 20.9554i | −0.415290 | − | 0.808372i | ||||
\(673\) | 9.88389 | + | 4.75983i | 0.380996 | + | 0.183478i | 0.614572 | − | 0.788860i | \(-0.289329\pi\) |
−0.233576 | + | 0.972338i | \(0.575043\pi\) | |||||||
\(674\) | −44.1160 | − | 6.64941i | −1.69928 | − | 0.256126i | ||||
\(675\) | 55.9408 | − | 38.1398i | 2.15316 | − | 1.46800i | ||||
\(676\) | 3.08765 | + | 2.86492i | 0.118756 | + | 0.110189i | ||||
\(677\) | −11.8140 | − | 8.05465i | −0.454049 | − | 0.309565i | 0.314614 | − | 0.949220i | \(-0.398125\pi\) |
−0.768663 | + | 0.639654i | \(0.779077\pi\) | |||||||
\(678\) | −3.80246 | − | 16.6597i | −0.146033 | − | 0.639810i | ||||
\(679\) | −23.3847 | + | 9.88072i | −0.897422 | + | 0.379187i | ||||
\(680\) | 0.139759 | − | 0.612326i | 0.00535953 | − | 0.0234816i | ||||
\(681\) | −39.8467 | + | 36.9723i | −1.52693 | + | 1.41678i | ||||
\(682\) | 11.7719 | − | 1.77432i | 0.450768 | − | 0.0679423i | ||||
\(683\) | −26.8981 | − | 8.29695i | −1.02923 | − | 0.317474i | −0.266252 | − | 0.963903i | \(-0.585785\pi\) |
−0.762974 | + | 0.646429i | \(0.776262\pi\) | |||||||
\(684\) | −0.429181 | − | 5.72702i | −0.0164101 | − | 0.218978i | ||||
\(685\) | 5.33457 | 0.203823 | ||||||||
\(686\) | −28.0052 | − | 8.56088i | −1.06924 | − | 0.326856i | ||||
\(687\) | −64.8651 | −2.47476 | ||||||||
\(688\) | −2.19634 | − | 29.3081i | −0.0837347 | − | 1.11736i | ||||
\(689\) | −18.7177 | − | 5.77363i | −0.713086 | − | 0.219958i | ||||
\(690\) | −1.26486 | + | 0.190647i | −0.0481523 | + | 0.00725779i | ||||
\(691\) | −8.39222 | + | 7.78684i | −0.319255 | + | 0.296226i | −0.823478 | − | 0.567348i | \(-0.807969\pi\) |
0.504223 | + | 0.863573i | \(0.331779\pi\) | |||||||
\(692\) | 1.83212 | − | 8.02705i | 0.0696468 | − | 0.305143i | ||||
\(693\) | −39.7358 | + | 16.7895i | −1.50944 | + | 0.637782i | ||||
\(694\) | 2.51111 | + | 11.0019i | 0.0953206 | + | 0.417627i | ||||
\(695\) | 0.545055 | + | 0.371612i | 0.0206751 | + | 0.0140961i | ||||
\(696\) | 34.3546 | + | 31.8764i | 1.30221 | + | 1.20827i | ||||
\(697\) | −3.40499 | + | 2.32148i | −0.128973 | + | 0.0879324i | ||||
\(698\) | 46.1675 | + | 6.95864i | 1.74747 | + | 0.263388i | ||||
\(699\) | −2.56035 | − | 1.23300i | −0.0968414 | − | 0.0466363i | ||||
\(700\) | −2.92860 | − | 5.70059i | −0.110691 | − | 0.215462i | ||||
\(701\) | 9.58967 | − | 4.61814i | 0.362197 | − | 0.174425i | −0.243930 | − | 0.969793i | \(-0.578437\pi\) |
0.606127 | + | 0.795368i | \(0.292722\pi\) | |||||||
\(702\) | −45.2117 | + | 13.9460i | −1.70641 | + | 0.526357i | ||||
\(703\) | −2.42661 | − | 6.18289i | −0.0915212 | − | 0.233192i | ||||
\(704\) | 5.68493 | − | 9.84659i | 0.214259 | − | 0.371107i | ||||
\(705\) | −3.50187 | − | 6.06541i | −0.131888 | − | 0.228437i | ||||
\(706\) | 16.0412 | − | 20.1150i | 0.603717 | − | 0.757037i | ||||
\(707\) | 32.6278 | − | 3.29272i | 1.22709 | − | 0.123835i | ||||
\(708\) | 8.35638 | + | 10.4786i | 0.314052 | + | 0.393809i | ||||
\(709\) | 5.54993 | − | 14.1410i | 0.208432 | − | 0.531076i | −0.787981 | − | 0.615699i | \(-0.788874\pi\) |
0.996413 | + | 0.0846237i | \(0.0269688\pi\) | |||||||
\(710\) | −0.0983963 | + | 1.31301i | −0.00369275 | + | 0.0492763i | ||||
\(711\) | −0.901810 | + | 12.0338i | −0.0338205 | + | 0.451304i | ||||
\(712\) | −11.1043 | + | 28.2934i | −0.416153 | + | 1.06034i | ||||
\(713\) | 1.33972 | + | 1.67995i | 0.0501728 | + | 0.0629147i | ||||
\(714\) | −7.65497 | + | 4.68673i | −0.286480 | + | 0.175397i | ||||
\(715\) | −1.17580 | + | 1.47441i | −0.0439724 | + | 0.0551396i | ||||
\(716\) | 4.04392 | + | 7.00427i | 0.151128 | + | 0.261762i | ||||
\(717\) | 3.85950 | − | 6.68485i | 0.144136 | − | 0.249650i | ||||
\(718\) | 15.1562 | + | 38.6175i | 0.565626 | + | 1.44119i | ||||
\(719\) | 19.1525 | − | 5.90778i | 0.714270 | − | 0.220323i | 0.0837394 | − | 0.996488i | \(-0.473314\pi\) |
0.630530 | + | 0.776165i | \(0.282837\pi\) | |||||||
\(720\) | −12.4850 | + | 6.01247i | −0.465289 | + | 0.224072i | ||||
\(721\) | 1.48018 | − | 3.28782i | 0.0551249 | − | 0.122445i | ||||
\(722\) | −23.5889 | − | 11.3598i | −0.877889 | − | 0.422769i | ||||
\(723\) | 66.3402 | + | 9.99918i | 2.46722 | + | 0.371874i | ||||
\(724\) | 3.09543 | − | 2.11043i | 0.115041 | − | 0.0784335i | ||||
\(725\) | 21.8084 | + | 20.2353i | 0.809945 | + | 0.751519i | ||||
\(726\) | −25.5293 | − | 17.4056i | −0.947480 | − | 0.645981i | ||||
\(727\) | −11.1011 | − | 48.6369i | −0.411716 | − | 1.80384i | −0.576021 | − | 0.817435i | \(-0.695395\pi\) |
0.164305 | − | 0.986410i | \(-0.447462\pi\) | |||||||
\(728\) | −2.34279 | − | 13.2214i | −0.0868297 | − | 0.490017i | ||||
\(729\) | −7.47016 | + | 32.7289i | −0.276673 | + | 1.21218i | ||||
\(730\) | −6.65191 | + | 6.17207i | −0.246198 | + | 0.228439i | ||||
\(731\) | −4.08075 | + | 0.615074i | −0.150932 | + | 0.0227493i | ||||
\(732\) | −14.5875 | − | 4.49966i | −0.539171 | − | 0.166312i | ||||
\(733\) | 0.733543 | + | 9.78846i | 0.0270940 | + | 0.361545i | 0.994229 | + | 0.107281i | \(0.0342143\pi\) |
−0.967135 | + | 0.254264i | \(0.918167\pi\) | |||||||
\(734\) | −33.2685 | −1.22796 | ||||||||
\(735\) | −2.83317 | + | 8.47987i | −0.104503 | + | 0.312785i | ||||
\(736\) | −1.75333 | −0.0646286 | ||||||||
\(737\) | 0.296007 | + | 3.94994i | 0.0109036 | + | 0.145498i | ||||
\(738\) | 68.5855 | + | 21.1558i | 2.52467 | + | 0.778756i | ||||
\(739\) | 25.0946 | − | 3.78240i | 0.923120 | − | 0.139138i | 0.329751 | − | 0.944068i | \(-0.393035\pi\) |
0.593370 | + | 0.804930i | \(0.297797\pi\) | |||||||
\(740\) | 0.618882 | − | 0.574239i | 0.0227506 | − | 0.0211094i | ||||
\(741\) | 2.39372 | − | 10.4876i | 0.0879356 | − | 0.385271i | ||||
\(742\) | 22.3785 | + | 31.0712i | 0.821540 | + | 1.14066i | ||||
\(743\) | 2.74476 | + | 12.0256i | 0.100696 | + | 0.441176i | 0.999993 | + | 0.00383783i | \(0.00122162\pi\) |
−0.899297 | + | 0.437338i | \(0.855921\pi\) | |||||||
\(744\) | 21.3819 | + | 14.5779i | 0.783898 | + | 0.534453i | ||||
\(745\) | −2.64046 | − | 2.44999i | −0.0967391 | − | 0.0897607i | ||||
\(746\) | 5.41583 | − | 3.69245i | 0.198288 | − | 0.135190i | ||||
\(747\) | −41.9726 | − | 6.32634i | −1.53570 | − | 0.231469i | ||||
\(748\) | 0.667148 | + | 0.321281i | 0.0243933 | + | 0.0117472i | ||||
\(749\) | 18.6248 | + | 3.74873i | 0.680536 | + | 0.136976i | ||||
\(750\) | −17.9089 | + | 8.62447i | −0.653941 | + | 0.314921i | ||||
\(751\) | −29.3247 | + | 9.04548i | −1.07007 | + | 0.330074i | −0.779257 | − | 0.626705i | \(-0.784403\pi\) |
−0.290817 | + | 0.956779i | \(0.593927\pi\) | |||||||
\(752\) | −9.51640 | − | 24.2474i | −0.347027 | − | 0.884212i | ||||
\(753\) | −42.5112 | + | 73.6315i | −1.54919 | + | 2.68328i | ||||
\(754\) | −10.3950 | − | 18.0046i | −0.378563 | − | 0.655690i | ||||
\(755\) | −2.26649 | + | 2.84209i | −0.0824861 | + | 0.103434i | ||||
\(756\) | 17.3945 | + | 6.31447i | 0.632633 | + | 0.229655i | ||||
\(757\) | −7.11089 | − | 8.91678i | −0.258450 | − | 0.324086i | 0.635630 | − | 0.771994i | \(-0.280741\pi\) |
−0.894079 | + | 0.447908i | \(0.852169\pi\) | |||||||
\(758\) | 11.3758 | − | 28.9850i | 0.413187 | − | 1.05278i | ||||
\(759\) | −0.337881 | + | 4.50870i | −0.0122643 | + | 0.163656i | ||||
\(760\) | 0.109964 | − | 1.46736i | 0.00398880 | − | 0.0532269i | ||||
\(761\) | 5.46608 | − | 13.9273i | 0.198145 | − | 0.504866i | −0.796920 | − | 0.604084i | \(-0.793539\pi\) |
0.995066 | + | 0.0992183i | \(0.0316342\pi\) | |||||||
\(762\) | 13.9490 | + | 17.4915i | 0.505320 | + | 0.633651i | ||||
\(763\) | 27.5708 | − | 42.7671i | 0.998131 | − | 1.54827i | ||||
\(764\) | −6.89767 | + | 8.64941i | −0.249549 | + | 0.312925i | ||||
\(765\) | 0.972888 | + | 1.68509i | 0.0351748 | + | 0.0609246i | ||||
\(766\) | −3.56098 | + | 6.16780i | −0.128663 | + | 0.222852i | ||||
\(767\) | 6.51234 | + | 16.5932i | 0.235147 | + | 0.599145i | ||||
\(768\) | −34.7862 | + | 10.7301i | −1.25524 | + | 0.387190i | ||||
\(769\) | −6.62237 | + | 3.18917i | −0.238809 | + | 0.115004i | −0.549461 | − | 0.835519i | \(-0.685167\pi\) |
0.310652 | + | 0.950524i | \(0.399453\pi\) | |||||||
\(770\) | 3.57174 | − | 0.912687i | 0.128717 | − | 0.0328910i | ||||
\(771\) | 32.6405 | + | 15.7188i | 1.17552 | + | 0.566100i | ||||
\(772\) | 10.3978 | + | 1.56722i | 0.374225 | + | 0.0564053i | ||||
\(773\) | −34.4662 | + | 23.4987i | −1.23966 | + | 0.845188i | −0.992315 | − | 0.123738i | \(-0.960512\pi\) |
−0.247348 | + | 0.968927i | \(0.579559\pi\) | |||||||
\(774\) | 52.6879 | + | 48.8872i | 1.89383 | + | 1.75721i | ||||
\(775\) | 13.5733 | + | 9.25412i | 0.487567 | + | 0.332418i | ||||
\(776\) | 5.06334 | + | 22.1839i | 0.181763 | + | 0.796357i | ||||
\(777\) | 36.1292 | + | 1.77257i | 1.29613 | + | 0.0635905i | ||||
\(778\) | 8.84981 | − | 38.7736i | 0.317281 | − | 1.39010i | ||||
\(779\) | −7.07764 | + | 6.56709i | −0.253583 | + | 0.235291i | ||||
\(780\) | 1.35206 | − | 0.203791i | 0.0484116 | − | 0.00729688i | ||||
\(781\) | 4.44729 | + | 1.37181i | 0.159136 | + | 0.0490871i | ||||
\(782\) | 0.0499198 | + | 0.666134i | 0.00178513 | + | 0.0238209i | ||||
\(783\) | −85.9020 | −3.06989 | ||||||||
\(784\) | −15.1198 | + | 29.6153i | −0.539993 | + | 1.05769i | ||||
\(785\) | −2.67109 | −0.0953354 | ||||||||
\(786\) | −3.42016 | − | 45.6389i | −0.121993 | − | 1.62788i | ||||
\(787\) | 21.8351 | + | 6.73524i | 0.778338 | + | 0.240085i | 0.658372 | − | 0.752693i | \(-0.271245\pi\) |
0.119966 | + | 0.992778i | \(0.461722\pi\) | |||||||
\(788\) | −7.37964 | + | 1.11230i | −0.262889 | + | 0.0396241i | ||||
\(789\) | 52.6022 | − | 48.8077i | 1.87269 | − | 1.73760i | ||||
\(790\) | 0.229484 | − | 1.00544i | 0.00816469 | − | 0.0357718i | ||||
\(791\) | −5.87606 | + | 6.66972i | −0.208928 | + | 0.237148i | ||||
\(792\) | 8.60374 | + | 37.6954i | 0.305721 | + | 1.33945i | ||||
\(793\) | −16.7754 | − | 11.4373i | −0.595713 | − | 0.406150i | ||||
\(794\) | −27.4389 | − | 25.4596i | −0.973769 | − | 0.903526i | ||||
\(795\) | 9.65908 | − | 6.58545i | 0.342572 | − | 0.233562i | ||||
\(796\) | 5.40908 | + | 0.815287i | 0.191720 | + | 0.0288971i | ||||
\(797\) | 44.6791 | + | 21.5163i | 1.58261 | + | 0.762147i | 0.998764 | − | 0.0497137i | \(-0.0158309\pi\) |
0.583851 | + | 0.811861i | \(0.301545\pi\) | |||||||
\(798\) | −16.0976 | + | 13.5306i | −0.569848 | + | 0.478979i | ||||
\(799\) | −3.29532 | + | 1.58694i | −0.116580 | + | 0.0561420i | ||||
\(800\) | −12.8093 | + | 3.95113i | −0.452876 | + | 0.139694i | ||||
\(801\) | −34.4014 | − | 87.6533i | −1.21551 | − | 3.09708i | ||||
\(802\) | −10.5387 | + | 18.2536i | −0.372135 | + | 0.644557i | ||||
\(803\) | 16.0372 | + | 27.7773i | 0.565942 | + | 0.980241i | ||||
\(804\) | 1.79064 | − | 2.24539i | 0.0631509 | − | 0.0791887i | ||||
\(805\) | 0.465001 | + | 0.475938i | 0.0163891 | + | 0.0167746i | ||||
\(806\) | −7.15770 | − | 8.97547i | −0.252119 | − | 0.316147i | ||||
\(807\) | 23.4074 | − | 59.6411i | 0.823980 | − | 2.09947i | ||||
\(808\) | 2.19658 | − | 29.3114i | 0.0772755 | − | 1.03117i | ||||
\(809\) | 1.62104 | − | 21.6313i | 0.0569929 | − | 0.760517i | −0.893360 | − | 0.449342i | \(-0.851658\pi\) |
0.950353 | − | 0.311175i | \(-0.100722\pi\) | |||||||
\(810\) | 5.26077 | − | 13.4042i | 0.184845 | − | 0.470976i | ||||
\(811\) | −12.7005 | − | 15.9259i | −0.445974 | − | 0.559233i | 0.507133 | − | 0.861868i | \(-0.330705\pi\) |
−0.953107 | + | 0.302634i | \(0.902134\pi\) | |||||||
\(812\) | −1.00427 | + | 8.06905i | −0.0352429 | + | 0.283168i | ||||
\(813\) | 20.5142 | − | 25.7240i | 0.719464 | − | 0.902180i | ||||
\(814\) | −7.45756 | − | 12.9169i | −0.261387 | − | 0.452736i | ||||
\(815\) | 0.563112 | − | 0.975338i | 0.0197249 | − | 0.0341646i | ||||
\(816\) | 3.72344 | + | 9.48718i | 0.130347 | + | 0.332118i | ||||
\(817\) | −9.23900 | + | 2.84986i | −0.323232 | + | 0.0997038i | ||||
\(818\) | 46.9656 | − | 22.6174i | 1.64211 | − | 0.790800i | ||||
\(819\) | 33.1804 | + | 25.0891i | 1.15942 | + | 0.876685i | ||||
\(820\) | −1.10570 | − | 0.532475i | −0.0386126 | − | 0.0185948i | ||||
\(821\) | 23.3980 | + | 3.52667i | 0.816594 | + | 0.123082i | 0.544041 | − | 0.839059i | \(-0.316894\pi\) |
0.272554 | + | 0.962141i | \(0.412132\pi\) | |||||||
\(822\) | −56.4585 | + | 38.4928i | −1.96922 | + | 1.34259i | ||||
\(823\) | −1.70058 | − | 1.57791i | −0.0592786 | − | 0.0550025i | 0.649977 | − | 0.759954i | \(-0.274778\pi\) |
−0.709256 | + | 0.704951i | \(0.750969\pi\) | |||||||
\(824\) | −2.67026 | − | 1.82055i | −0.0930228 | − | 0.0634219i | ||||
\(825\) | 7.69193 | + | 33.7005i | 0.267799 | + | 1.17330i | ||||
\(826\) | 9.40933 | − | 33.5513i | 0.327393 | − | 1.16740i | ||||
\(827\) | −5.58131 | + | 24.4533i | −0.194081 | + | 0.850326i | 0.780297 | + | 0.625409i | \(0.215068\pi\) |
−0.974378 | + | 0.224916i | \(0.927789\pi\) | |||||||
\(828\) | 1.70634 | − | 1.58325i | 0.0592994 | − | 0.0550218i | ||||
\(829\) | −10.6595 | + | 1.60666i | −0.370219 | + | 0.0558016i | −0.331517 | − | 0.943449i | \(-0.607560\pi\) |
−0.0387022 | + | 0.999251i | \(0.512322\pi\) | |||||||
\(830\) | 3.46633 | + | 1.06922i | 0.120318 | + | 0.0371132i | ||||
\(831\) | −1.88922 | − | 25.2098i | −0.0655362 | − | 0.874520i | ||||
\(832\) | −10.9642 | −0.380115 | ||||||||
\(833\) | 4.30545 | + | 1.80635i | 0.149175 | + | 0.0625863i | ||||
\(834\) | −8.45005 | −0.292601 | ||||||||
\(835\) | −0.183079 | − | 2.44303i | −0.00633572 | − | 0.0845444i | ||||
\(836\) | 1.65775 | + | 0.511349i | 0.0573346 | + | 0.0176854i | ||||
\(837\) | −46.9046 | + | 7.06973i | −1.62126 | + | 0.244366i | ||||
\(838\) | −45.7035 | + | 42.4066i | −1.57880 | + | 1.46491i | ||||
\(839\) | −1.66884 | + | 7.31166i | −0.0576147 | + | 0.252426i | −0.995531 | − | 0.0944351i | \(-0.969896\pi\) |
0.937916 | + | 0.346862i | \(0.112753\pi\) | |||||||
\(840\) | 7.04103 | + | 3.82664i | 0.242939 | + | 0.132032i | ||||
\(841\) | −1.94614 | − | 8.52662i | −0.0671084 | − | 0.294021i | ||||
\(842\) | 4.28734 | + | 2.92306i | 0.147751 | + | 0.100735i | ||||
\(843\) | 27.1098 | + | 25.1542i | 0.933710 | + | 0.866356i | ||||
\(844\) | 7.00696 | − | 4.77727i | 0.241190 | − | 0.164440i | ||||
\(845\) | −3.30603 | − | 0.498304i | −0.113731 | − | 0.0171422i | ||||
\(846\) | 57.3926 | + | 27.6388i | 1.97320 | + | 0.950241i | ||||
\(847\) | 0.414263 | + | 16.0674i | 0.0142342 | + | 0.552081i | ||||
\(848\) | 39.1728 | − | 18.8646i | 1.34520 | − | 0.647814i | ||||
\(849\) | 24.8419 | − | 7.66273i | 0.852573 | − | 0.262984i | ||||
\(850\) | 1.86583 | + | 4.75406i | 0.0639975 | + | 0.163063i | ||||
\(851\) | 1.34604 | − | 2.33141i | 0.0461416 | − | 0.0799195i | ||||
\(852\) | −1.68722 | − | 2.92236i | −0.0578034 | − | 0.100118i | ||||
\(853\) | −6.28444 | + | 7.88043i | −0.215175 | + | 0.269821i | −0.877691 | − | 0.479227i | \(-0.840917\pi\) |
0.662516 | + | 0.749048i | \(0.269489\pi\) | |||||||
\(854\) | 12.6724 | + | 37.6124i | 0.433641 | + | 1.28707i | ||||
\(855\) | 2.84227 | + | 3.56410i | 0.0972037 | + | 0.121890i | ||||
\(856\) | 6.22126 | − | 15.8515i | 0.212638 | − | 0.541794i | ||||
\(857\) | −3.23114 | + | 43.1166i | −0.110374 | + | 1.47284i | 0.617200 | + | 0.786806i | \(0.288267\pi\) |
−0.727574 | + | 0.686029i | \(0.759352\pi\) | |||||||
\(858\) | 1.80519 | − | 24.0886i | 0.0616283 | − | 0.822373i | ||||
\(859\) | −18.4770 | + | 47.0786i | −0.630427 | + | 1.60630i | 0.155396 | + | 0.987852i | \(0.450335\pi\) |
−0.785824 | + | 0.618451i | \(0.787761\pi\) | |||||||
\(860\) | −0.766237 | − | 0.960830i | −0.0261285 | − | 0.0327640i | ||||
\(861\) | −16.7886 | − | 49.8293i | −0.572153 | − | 1.69818i | ||||
\(862\) | −6.84979 | + | 8.58936i | −0.233305 | + | 0.292555i | ||||
\(863\) | 8.61615 | + | 14.9236i | 0.293297 | + | 0.508006i | 0.974587 | − | 0.224008i | \(-0.0719141\pi\) |
−0.681290 | + | 0.732013i | \(0.738581\pi\) | |||||||
\(864\) | 19.3528 | − | 33.5200i | 0.658396 | − | 1.14037i | ||||
\(865\) | 2.38767 | + | 6.08368i | 0.0811831 | + | 0.206851i | ||||
\(866\) | −16.9753 | + | 5.23618i | −0.576843 | + | 0.177933i | ||||
\(867\) | −47.9782 | + | 23.1051i | −1.62943 | + | 0.784690i | ||||
\(868\) | 0.115728 | + | 4.48855i | 0.00392806 | + | 0.152351i | ||||
\(869\) | −3.28428 | − | 1.58163i | −0.111412 | − | 0.0536530i | ||||
\(870\) | 12.2692 | + | 1.84929i | 0.415967 | + | 0.0626969i | ||||
\(871\) | 3.15598 | − | 2.15171i | 0.106936 | − | 0.0729079i | ||||
\(872\) | −33.4333 | − | 31.0216i | −1.13220 | − | 1.05052i | ||||
\(873\) | −58.2445 | − | 39.7104i | −1.97128 | − | 1.34399i | ||||
\(874\) | 0.348251 | + | 1.52579i | 0.0117798 | + | 0.0516105i | ||||
\(875\) | 9.08487 | + | 4.93742i | 0.307125 | + | 0.166915i | ||||
\(876\) | 5.17490 | − | 22.6727i | 0.174844 | − | 0.766040i | ||||
\(877\) | −26.5088 | + | 24.5965i | −0.895138 | + | 0.830566i | −0.986248 | − | 0.165274i | \(-0.947149\pi\) |
0.0911099 | + | 0.995841i | \(0.470959\pi\) | |||||||
\(878\) | −47.0544 | + | 7.09231i | −1.58801 | + | 0.239354i | ||||
\(879\) | −15.0895 | − | 4.65450i | −0.508956 | − | 0.156992i | ||||
\(880\) | −0.312814 | − | 4.17421i | −0.0105450 | − | 0.140713i | ||||
\(881\) | 23.7204 | 0.799162 | 0.399581 | − | 0.916698i | \(-0.369156\pi\) | ||||
0.399581 | + | 0.916698i | \(0.369156\pi\) | |||||||
\(882\) | −22.1562 | − | 78.2410i | −0.746038 | − | 2.63451i | ||||
\(883\) | −44.4089 | −1.49448 | −0.747240 | − | 0.664554i | \(-0.768621\pi\) | ||||
−0.747240 | + | 0.664554i | \(0.768621\pi\) | |||||||
\(884\) | −0.0533616 | − | 0.712061i | −0.00179474 | − | 0.0239492i | ||||
\(885\) | −10.1659 | − | 3.13576i | −0.341722 | − | 0.105407i | ||||
\(886\) | −20.7211 | + | 3.12321i | −0.696140 | + | 0.104926i | ||||
\(887\) | −5.00558 | + | 4.64450i | −0.168071 | + | 0.155947i | −0.759724 | − | 0.650246i | \(-0.774666\pi\) |
0.591653 | + | 0.806193i | \(0.298476\pi\) | |||||||
\(888\) | 7.21465 | − | 31.6094i | 0.242108 | − | 1.06074i | ||||
\(889\) | 3.14253 | − | 11.2055i | 0.105397 | − | 0.375820i | ||||
\(890\) | 1.79065 | + | 7.84536i | 0.0600228 | + | 0.262977i | ||||
\(891\) | −42.0538 | − | 28.6718i | −1.40885 | − | 0.960540i | ||||
\(892\) | −7.91330 | − | 7.34247i | −0.264957 | − | 0.245844i | ||||
\(893\) | −7.08006 | + | 4.82710i | −0.236925 | + | 0.161533i | ||||
\(894\) | 45.6239 | + | 6.87669i | 1.52589 | + | 0.229991i | ||||
\(895\) | −5.78408 | − | 2.78547i | −0.193340 | − | 0.0931079i | ||||
\(896\) | 28.7801 | + | 21.7618i | 0.961474 | + | 0.727012i | ||||
\(897\) | 3.92825 | − | 1.89174i | 0.131160 | − | 0.0631635i | ||||
\(898\) | 55.3208 | − | 17.0642i | 1.84608 | − | 0.569440i | ||||
\(899\) | −7.61480 | − | 19.4022i | −0.253968 | − | 0.647099i | ||||
\(900\) | 8.89810 | − | 15.4120i | 0.296603 | − | 0.513732i | ||||
\(901\) | −3.05252 | − | 5.28711i | −0.101694 | − | 0.176139i | ||||
\(902\) | −13.5179 | + | 16.9509i | −0.450096 | + | 0.564403i | ||||
\(903\) | 6.50324 | − | 52.2520i | 0.216414 | − | 1.73884i | ||||
\(904\) | 4.96756 | + | 6.22912i | 0.165219 | + | 0.207178i | ||||
\(905\) | −1.08644 | + | 2.76820i | −0.0361145 | + | 0.0920182i | ||||
\(906\) | 3.47972 | − | 46.4337i | 0.115606 | − | 1.54266i | ||||
\(907\) | 0.559176 | − | 7.46168i | 0.0185671 | − | 0.247761i | −0.980196 | − | 0.198032i | \(-0.936545\pi\) |
0.998763 | − | 0.0497293i | \(-0.0158359\pi\) | |||||||
\(908\) | −3.08837 | + | 7.86905i | −0.102491 | + | 0.261144i | ||||
\(909\) | 56.7760 | + | 71.1948i | 1.88314 | + | 2.36138i | ||||
\(910\) | −2.48436 | − | 2.54279i | −0.0823557 | − | 0.0842927i | ||||
\(911\) | −18.6126 | + | 23.3394i | −0.616662 | + | 0.773270i | −0.987871 | − | 0.155280i | \(-0.950372\pi\) |
0.371208 | + | 0.928550i | \(0.378944\pi\) | |||||||
\(912\) | 11.9388 | + | 20.6786i | 0.395332 | + | 0.684736i | ||||
\(913\) | 6.41098 | − | 11.1041i | 0.212173 | − | 0.367494i | ||||
\(914\) | 4.85787 | + | 12.3777i | 0.160684 | + | 0.409416i | ||||
\(915\) | 11.5791 | − | 3.57167i | 0.382792 | − | 0.118076i | ||||
\(916\) | −9.08856 | + | 4.37682i | −0.300294 | + | 0.144614i | ||||
\(917\) | −18.2244 | + | 15.3183i | −0.601823 | + | 0.505855i | ||||
\(918\) | −13.2861 | − | 6.39825i | −0.438506 | − | 0.211174i | ||||
\(919\) | −31.7085 | − | 4.77928i | −1.04597 | − | 0.157654i | −0.396492 | − | 0.918038i | \(-0.629773\pi\) |
−0.649474 | + | 0.760384i | \(0.725011\pi\) | |||||||
\(920\) | 0.492771 | − | 0.335966i | 0.0162462 | − | 0.0110765i | ||||
\(921\) | −13.1465 | − | 12.1981i | −0.433191 | − | 0.401942i | ||||
\(922\) | 27.1892 | + | 18.5373i | 0.895430 | + | 0.610494i | ||||
\(923\) | −0.998674 | − | 4.37547i | −0.0328717 | − | 0.144021i | ||||
\(924\) | −6.24555 | + | 7.08912i | −0.205464 | + | 0.233215i | ||||
\(925\) | 4.57988 | − | 20.0658i | 0.150586 | − | 0.659759i | ||||
\(926\) | 1.92263 | − | 1.78394i | 0.0631815 | − | 0.0586239i | ||||
\(927\) | 9.90039 | − | 1.49224i | 0.325172 | − | 0.0490117i | ||||
\(928\) | 16.2519 | + | 5.01305i | 0.533495 | + | 0.164561i | ||||
\(929\) | −0.687857 | − | 9.17881i | −0.0225678 | − | 0.301147i | −0.997054 | − | 0.0767002i | \(-0.975562\pi\) |
0.974486 | − | 0.224447i | \(-0.0720575\pi\) | |||||||
\(930\) | 6.85151 | 0.224670 | ||||||||
\(931\) | 10.6051 | + | 2.68134i | 0.347568 | + | 0.0878773i | ||||
\(932\) | −0.441940 | −0.0144762 | ||||||||
\(933\) | 4.86471 | + | 64.9150i | 0.159263 | + | 2.12522i | ||||
\(934\) | −51.4499 | − | 15.8702i | −1.68349 | − | 0.519288i | ||||
\(935\) | −0.581201 | + | 0.0876019i | −0.0190073 | + | 0.00286489i | ||||
\(936\) | 27.3321 | − | 25.3604i | 0.893376 | − | 0.828932i | ||||
\(937\) | −4.81044 | + | 21.0759i | −0.157150 | + | 0.688520i | 0.833549 | + | 0.552446i | \(0.186305\pi\) |
−0.990699 | + | 0.136074i | \(0.956552\pi\) | |||||||
\(938\) | −7.45791 | − | 0.365900i | −0.243510 | − | 0.0119471i | ||||
\(939\) | −8.72770 | − | 38.2385i | −0.284818 | − | 1.24787i | ||||
\(940\) | −0.899931 | − | 0.613562i | −0.0293525 | − | 0.0200122i | ||||
\(941\) | 41.6868 | + | 38.6797i | 1.35895 | + | 1.26092i | 0.934727 | + | 0.355365i | \(0.115644\pi\) |
0.424224 | + | 0.905557i | \(0.360547\pi\) | |||||||
\(942\) | 28.2696 | − | 19.2739i | 0.921072 | − | 0.627976i | ||||
\(943\) | −3.86956 | − | 0.583243i | −0.126010 | − | 0.0189930i | ||||
\(944\) | −35.6480 | − | 17.1672i | −1.16024 | − | 0.558744i | ||||
\(945\) | −14.2315 | + | 3.63658i | −0.462951 | + | 0.118298i | ||||
\(946\) | −19.5613 | + | 9.42020i | −0.635991 | + | 0.306277i | ||||
\(947\) | 31.1926 | − | 9.62164i | 1.01362 | − | 0.312661i | 0.256929 | − | 0.966430i | \(-0.417289\pi\) |
0.756694 | + | 0.653769i | \(0.226813\pi\) | |||||||
\(948\) | 0.965607 | + | 2.46033i | 0.0313615 | + | 0.0799077i | ||||
\(949\) | 15.4650 | − | 26.7862i | 0.502016 | − | 0.869518i | ||||
\(950\) | 5.98257 | + | 10.3621i | 0.194100 | + | 0.336191i | ||||
\(951\) | −17.4423 | + | 21.8720i | −0.565606 | + | 0.709247i | ||||
\(952\) | 2.26756 | − | 3.51739i | 0.0734922 | − | 0.113999i | ||||
\(953\) | −28.0427 | − | 35.1645i | −0.908393 | − | 1.13909i | −0.989808 | − | 0.142409i | \(-0.954515\pi\) |
0.0814149 | − | 0.996680i | \(-0.474056\pi\) | |||||||
\(954\) | −38.8458 | + | 98.9776i | −1.25768 | + | 3.20452i | ||||
\(955\) | 0.656237 | − | 8.75687i | 0.0212353 | − | 0.283366i | ||||
\(956\) | 0.0897079 | − | 1.19707i | 0.00290136 | − | 0.0387160i | ||||
\(957\) | 16.0230 | − | 40.8258i | 0.517949 | − | 1.31971i | ||||
\(958\) | −24.7659 | − | 31.0555i | −0.800151 | − | 1.00336i | ||||
\(959\) | 33.4117 | + | 12.1290i | 1.07892 | + | 0.391665i | ||||
\(960\) | 4.07988 | − | 5.11601i | 0.131678 | − | 0.165119i | ||||
\(961\) | 9.74533 | + | 16.8794i | 0.314366 | + | 0.544497i | ||||
\(962\) | −7.19147 | + | 12.4560i | −0.231862 | + | 0.401597i | ||||
\(963\) | 19.2735 | + | 49.1082i | 0.621081 | + | 1.58249i | ||||
\(964\) | 9.96995 | − | 3.07532i | 0.321110 | − | 0.0990494i | ||||
\(965\) | −7.52006 | + | 3.62147i | −0.242079 | + | 0.116579i | ||||
\(966\) | −8.35558 | − | 1.68178i | −0.268836 | − | 0.0541104i | ||||
\(967\) | 21.8585 | + | 10.5265i | 0.702922 | + | 0.338509i | 0.750970 | − | 0.660336i | \(-0.229586\pi\) |
−0.0480488 | + | 0.998845i | \(0.515300\pi\) | |||||||
\(968\) | 14.2454 | + | 2.14715i | 0.457865 | + | 0.0690120i | ||||
\(969\) | 2.77018 | − | 1.88868i | 0.0889912 | − | 0.0606731i | ||||
\(970\) | 4.41618 | + | 4.09761i | 0.141795 | + | 0.131566i | ||||
\(971\) | 22.6906 | + | 15.4702i | 0.728178 | + | 0.496463i | 0.869767 | − | 0.493462i | \(-0.164269\pi\) |
−0.141590 | + | 0.989925i | \(0.545221\pi\) | |||||||
\(972\) | 3.54272 | + | 15.5217i | 0.113633 | + | 0.497858i | ||||
\(973\) | 2.56890 | + | 3.56677i | 0.0823551 | + | 0.114345i | ||||
\(974\) | −8.14216 | + | 35.6731i | −0.260892 | + | 1.14304i | ||||
\(975\) | 24.4354 | − | 22.6728i | 0.782560 | − | 0.726110i | ||||
\(976\) | 44.5632 | − | 6.71683i | 1.42643 | − | 0.215000i | ||||
\(977\) | 10.1209 | + | 3.12188i | 0.323796 | + | 0.0998777i | 0.452392 | − | 0.891819i | \(-0.350571\pi\) |
−0.128596 | + | 0.991697i | \(0.541047\pi\) | |||||||
\(978\) | 1.07806 | + | 14.3858i | 0.0344727 | + | 0.460006i | ||||
\(979\) | 28.4439 | 0.909070 | ||||||||
\(980\) | 0.175217 | + | 1.37932i | 0.00559710 | + | 0.0440609i | ||||
\(981\) | 141.295 | 4.51121 | ||||||||
\(982\) | 1.98943 | + | 26.5471i | 0.0634852 | + | 0.847152i | ||||
\(983\) | 40.3107 | + | 12.4342i | 1.28571 | + | 0.396589i | 0.860938 | − | 0.508711i | \(-0.169878\pi\) |
0.424773 | + | 0.905300i | \(0.360354\pi\) | |||||||
\(984\) | −46.6035 | + | 7.02435i | −1.48567 | + | 0.223928i | ||||
\(985\) | 4.34250 | − | 4.02925i | 0.138364 | − | 0.128383i | ||||
\(986\) | 1.44187 | − | 6.31723i | 0.0459184 | − | 0.201182i | ||||
\(987\) | −8.14243 | − | 45.9512i | −0.259176 | − | 1.46264i | ||||
\(988\) | −0.372261 | − | 1.63098i | −0.0118432 | − | 0.0518885i | ||||
\(989\) | −3.23782 | − | 2.20751i | −0.102957 | − | 0.0701947i | ||||
\(990\) | 7.50407 | + | 6.96276i | 0.238495 | + | 0.221291i | ||||
\(991\) | 40.4666 | − | 27.5897i | 1.28546 | − | 0.876414i | 0.288749 | − | 0.957405i | \(-0.406761\pi\) |
0.996715 | + | 0.0809906i | \(0.0258084\pi\) | |||||||
\(992\) | 9.28651 | + | 1.39972i | 0.294847 | + | 0.0444410i | ||||
\(993\) | −91.1841 | − | 43.9119i | −2.89364 | − | 1.39350i | ||||
\(994\) | −3.60160 | + | 7.99997i | −0.114236 | + | 0.253744i | ||||
\(995\) | −3.91204 | + | 1.88394i | −0.124020 | + | 0.0597249i | ||||
\(996\) | −8.88361 | + | 2.74023i | −0.281488 | + | 0.0868276i | ||||
\(997\) | 13.1721 | + | 33.5619i | 0.417164 | + | 1.06292i | 0.972832 | + | 0.231512i | \(0.0743671\pi\) |
−0.555669 | + | 0.831404i | \(0.687538\pi\) | |||||||
\(998\) | 6.70505 | − | 11.6135i | 0.212245 | − | 0.367619i | ||||
\(999\) | 29.7144 | + | 51.4669i | 0.940122 | + | 1.62834i |
(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 | 49.2.g.a.32.2 | yes | 48 | |
3.2 | odd | 2 | 441.2.bb.d.424.3 | 48 | |||
4.3 | odd | 2 | 784.2.bg.c.81.4 | 48 | |||
7.2 | even | 3 | 343.2.g.i.30.2 | 48 | |||
7.3 | odd | 6 | 343.2.e.c.197.6 | 48 | |||
7.4 | even | 3 | 343.2.e.d.197.6 | 48 | |||
7.5 | odd | 6 | 343.2.g.h.30.2 | 48 | |||
7.6 | odd | 2 | 343.2.g.g.116.2 | 48 | |||
49.4 | even | 21 | 343.2.e.d.148.6 | 48 | |||
49.11 | even | 21 | 2401.2.a.h.1.7 | 24 | |||
49.22 | even | 7 | 343.2.g.i.263.2 | 48 | |||
49.23 | even | 21 | inner | 49.2.g.a.23.2 | ✓ | 48 | |
49.26 | odd | 42 | 343.2.g.g.275.2 | 48 | |||
49.27 | odd | 14 | 343.2.g.h.263.2 | 48 | |||
49.38 | odd | 42 | 2401.2.a.i.1.7 | 24 | |||
49.45 | odd | 42 | 343.2.e.c.148.6 | 48 | |||
147.23 | odd | 42 | 441.2.bb.d.415.3 | 48 | |||
196.23 | odd | 42 | 784.2.bg.c.513.4 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
49.2.g.a.23.2 | ✓ | 48 | 49.23 | even | 21 | inner | |
49.2.g.a.32.2 | yes | 48 | 1.1 | even | 1 | trivial | |
343.2.e.c.148.6 | 48 | 49.45 | odd | 42 | |||
343.2.e.c.197.6 | 48 | 7.3 | odd | 6 | |||
343.2.e.d.148.6 | 48 | 49.4 | even | 21 | |||
343.2.e.d.197.6 | 48 | 7.4 | even | 3 | |||
343.2.g.g.116.2 | 48 | 7.6 | odd | 2 | |||
343.2.g.g.275.2 | 48 | 49.26 | odd | 42 | |||
343.2.g.h.30.2 | 48 | 7.5 | odd | 6 | |||
343.2.g.h.263.2 | 48 | 49.27 | odd | 14 | |||
343.2.g.i.30.2 | 48 | 7.2 | even | 3 | |||
343.2.g.i.263.2 | 48 | 49.22 | even | 7 | |||
441.2.bb.d.415.3 | 48 | 147.23 | odd | 42 | |||
441.2.bb.d.424.3 | 48 | 3.2 | odd | 2 | |||
784.2.bg.c.81.4 | 48 | 4.3 | odd | 2 | |||
784.2.bg.c.513.4 | 48 | 196.23 | odd | 42 | |||
2401.2.a.h.1.7 | 24 | 49.11 | even | 21 | |||
2401.2.a.i.1.7 | 24 | 49.38 | odd | 42 |