Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(16,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.q (of order \(15\), degree \(8\), 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: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 16.6 | ||
Character | \(\chi\) | \(=\) | 225.16 |
Dual form | 225.2.q.a.211.6 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.76509 | + | 0.785867i | −1.24810 | + | 0.555692i | −0.921098 | − | 0.389331i | \(-0.872706\pi\) |
−0.327006 | + | 0.945022i | \(0.606040\pi\) | |||||||
\(3\) | −1.27173 | − | 1.17589i | −0.734231 | − | 0.678899i | ||||
\(4\) | 1.15968 | − | 1.28795i | 0.579840 | − | 0.643977i | ||||
\(5\) | −0.197349 | + | 2.22734i | −0.0882570 | + | 0.996098i | ||||
\(6\) | 3.16880 | + | 1.07614i | 1.29366 | + | 0.439331i | ||||
\(7\) | 1.35187 | − | 2.34151i | 0.510959 | − | 0.885007i | −0.488960 | − | 0.872306i | \(-0.662624\pi\) |
0.999919 | − | 0.0127012i | \(-0.00404302\pi\) | |||||||
\(8\) | 0.159347 | − | 0.490420i | 0.0563377 | − | 0.173390i | ||||
\(9\) | 0.234573 | + | 2.99082i | 0.0781911 | + | 0.996938i | ||||
\(10\) | −1.40206 | − | 4.08654i | −0.443369 | − | 1.29228i | ||||
\(11\) | −0.748543 | + | 0.333273i | −0.225694 | + | 0.100486i | −0.516469 | − | 0.856306i | \(-0.672754\pi\) |
0.290774 | + | 0.956792i | \(0.406087\pi\) | |||||||
\(12\) | −2.98929 | + | 0.274272i | −0.862932 | + | 0.0791754i | ||||
\(13\) | −2.49560 | − | 1.11111i | −0.692155 | − | 0.308167i | 0.0303436 | − | 0.999540i | \(-0.490340\pi\) |
−0.722499 | + | 0.691372i | \(0.757007\pi\) | |||||||
\(14\) | −0.546054 | + | 5.19535i | −0.145939 | + | 1.38852i | ||||
\(15\) | 2.87008 | − | 2.60051i | 0.741051 | − | 0.671448i | ||||
\(16\) | 0.466463 | + | 4.43810i | 0.116616 | + | 1.10952i | ||||
\(17\) | −2.45676 | + | 7.56113i | −0.595852 | + | 1.83384i | −0.0454115 | + | 0.998968i | \(0.514460\pi\) |
−0.550440 | + | 0.834875i | \(0.685540\pi\) | |||||||
\(18\) | −2.76442 | − | 5.09470i | −0.651581 | − | 1.20083i | ||||
\(19\) | −2.21677 | + | 6.82252i | −0.508562 | + | 1.56519i | 0.286136 | + | 0.958189i | \(0.407629\pi\) |
−0.794698 | + | 0.607005i | \(0.792371\pi\) | |||||||
\(20\) | 2.63985 | + | 2.83718i | 0.590289 | + | 0.634413i | ||||
\(21\) | −4.47256 | + | 1.38811i | −0.975993 | + | 0.302910i | ||||
\(22\) | 1.05934 | − | 1.17651i | 0.225851 | − | 0.250833i | ||||
\(23\) | −0.215497 | + | 2.05032i | −0.0449343 | + | 0.427521i | 0.948811 | + | 0.315846i | \(0.102288\pi\) |
−0.993745 | + | 0.111675i | \(0.964378\pi\) | |||||||
\(24\) | −0.779325 | + | 0.436305i | −0.159079 | + | 0.0890604i | ||||
\(25\) | −4.92211 | − | 0.879126i | −0.984421 | − | 0.175825i | ||||
\(26\) | 5.27814 | 1.03513 | ||||||||
\(27\) | 3.21855 | − | 4.07933i | 0.619411 | − | 0.785067i | ||||
\(28\) | −1.44802 | − | 4.45655i | −0.273650 | − | 0.842209i | ||||
\(29\) | −5.45784 | − | 1.16010i | −1.01350 | − | 0.215425i | −0.328913 | − | 0.944360i | \(-0.606682\pi\) |
−0.684583 | + | 0.728935i | \(0.740016\pi\) | |||||||
\(30\) | −3.02228 | + | 6.84562i | −0.551791 | + | 1.24983i | ||||
\(31\) | 6.92035 | − | 1.47097i | 1.24293 | − | 0.264193i | 0.460912 | − | 0.887446i | \(-0.347523\pi\) |
0.782021 | + | 0.623253i | \(0.214189\pi\) | |||||||
\(32\) | −3.79544 | − | 6.57390i | −0.670946 | − | 1.16211i | ||||
\(33\) | 1.34383 | + | 0.456372i | 0.233931 | + | 0.0794441i | ||||
\(34\) | −1.60565 | − | 15.2767i | −0.275366 | − | 2.61994i | ||||
\(35\) | 4.94855 | + | 3.47317i | 0.836458 | + | 0.587073i | ||||
\(36\) | 4.12406 | + | 3.16627i | 0.687344 | + | 0.527711i | ||||
\(37\) | −1.38079 | + | 1.00320i | −0.227001 | + | 0.164926i | −0.695472 | − | 0.718553i | \(-0.744805\pi\) |
0.468472 | + | 0.883479i | \(0.344805\pi\) | |||||||
\(38\) | −1.44880 | − | 13.7844i | −0.235027 | − | 2.23613i | ||||
\(39\) | 1.86718 | + | 4.34758i | 0.298987 | + | 0.696170i | ||||
\(40\) | 1.06089 | + | 0.451704i | 0.167741 | + | 0.0714207i | ||||
\(41\) | 1.64566 | + | 0.732693i | 0.257008 | + | 0.114427i | 0.531197 | − | 0.847249i | \(-0.321743\pi\) |
−0.274188 | + | 0.961676i | \(0.588409\pi\) | |||||||
\(42\) | 6.80359 | − | 5.96497i | 1.04982 | − | 0.920415i | ||||
\(43\) | −4.43594 | + | 7.68327i | −0.676474 | + | 1.17169i | 0.299562 | + | 0.954077i | \(0.403160\pi\) |
−0.976036 | + | 0.217611i | \(0.930174\pi\) | |||||||
\(44\) | −0.438830 | + | 1.35058i | −0.0661561 | + | 0.203608i | ||||
\(45\) | −6.70786 | − | 0.0677586i | −0.999949 | − | 0.0101009i | ||||
\(46\) | −1.23091 | − | 3.78834i | −0.181487 | − | 0.558560i | ||||
\(47\) | −3.05932 | − | 0.650279i | −0.446248 | − | 0.0948529i | −0.0206937 | − | 0.999786i | \(-0.506587\pi\) |
−0.425554 | + | 0.904933i | \(0.639921\pi\) | |||||||
\(48\) | 4.62549 | − | 6.19255i | 0.667633 | − | 0.893818i | ||||
\(49\) | −0.155110 | − | 0.268659i | −0.0221586 | − | 0.0383799i | ||||
\(50\) | 9.37882 | − | 2.31639i | 1.32636 | − | 0.327587i | ||||
\(51\) | 12.0154 | − | 6.72681i | 1.68249 | − | 0.941941i | ||||
\(52\) | −4.32516 | + | 1.92569i | −0.599792 | + | 0.267045i | ||||
\(53\) | 0.613099 | + | 1.88692i | 0.0842156 | + | 0.259189i | 0.984293 | − | 0.176540i | \(-0.0564906\pi\) |
−0.900078 | + | 0.435729i | \(0.856491\pi\) | |||||||
\(54\) | −2.47521 | + | 9.72972i | −0.336833 | + | 1.32405i | ||||
\(55\) | −0.594589 | − | 1.73303i | −0.0801744 | − | 0.233682i | ||||
\(56\) | −0.932906 | − | 1.03610i | −0.124665 | − | 0.138454i | ||||
\(57\) | 10.8416 | − | 6.06970i | 1.43601 | − | 0.803951i | ||||
\(58\) | 10.5452 | − | 2.24146i | 1.38466 | − | 0.294318i | ||||
\(59\) | 3.67181 | + | 1.63480i | 0.478029 | + | 0.212832i | 0.631584 | − | 0.775308i | \(-0.282405\pi\) |
−0.153554 | + | 0.988140i | \(0.549072\pi\) | |||||||
\(60\) | −0.0209650 | − | 6.71229i | −0.00270657 | − | 0.866553i | ||||
\(61\) | 2.29219 | − | 1.02055i | 0.293485 | − | 0.130668i | −0.254712 | − | 0.967017i | \(-0.581981\pi\) |
0.548198 | + | 0.836349i | \(0.315314\pi\) | |||||||
\(62\) | −11.0590 | + | 8.03486i | −1.40450 | + | 1.02043i | ||||
\(63\) | 7.32013 | + | 3.49394i | 0.922250 | + | 0.440195i | ||||
\(64\) | 4.64494 | + | 3.37475i | 0.580618 | + | 0.421843i | ||||
\(65\) | 2.96733 | − | 5.33928i | 0.368052 | − | 0.662256i | ||||
\(66\) | −2.73063 | + | 0.250539i | −0.336117 | + | 0.0308393i | ||||
\(67\) | −5.67625 | + | 1.20652i | −0.693465 | + | 0.147400i | −0.541143 | − | 0.840931i | \(-0.682008\pi\) |
−0.152322 | + | 0.988331i | \(0.548675\pi\) | |||||||
\(68\) | 6.88934 | + | 11.9327i | 0.835455 | + | 1.44705i | ||||
\(69\) | 2.68500 | − | 2.35404i | 0.323236 | − | 0.283393i | ||||
\(70\) | −11.4641 | − | 2.24155i | −1.37022 | − | 0.267916i | ||||
\(71\) | −3.34762 | − | 10.3029i | −0.397290 | − | 1.22273i | −0.927164 | − | 0.374656i | \(-0.877761\pi\) |
0.529874 | − | 0.848076i | \(-0.322239\pi\) | |||||||
\(72\) | 1.50413 | + | 0.361538i | 0.177264 | + | 0.0426077i | ||||
\(73\) | 12.1616 | + | 8.83593i | 1.42341 | + | 1.03417i | 0.991197 | + | 0.132396i | \(0.0422672\pi\) |
0.432213 | + | 0.901771i | \(0.357733\pi\) | |||||||
\(74\) | 1.64883 | − | 2.85586i | 0.191673 | − | 0.331987i | ||||
\(75\) | 5.22582 | + | 6.90586i | 0.603425 | + | 0.797420i | ||||
\(76\) | 6.21635 | + | 10.7670i | 0.713065 | + | 1.23506i | ||||
\(77\) | −0.231572 | + | 2.20326i | −0.0263901 | + | 0.251085i | ||||
\(78\) | −6.71234 | − | 6.20650i | −0.760023 | − | 0.702748i | ||||
\(79\) | 6.97559 | + | 1.48271i | 0.784815 | + | 0.166818i | 0.582855 | − | 0.812576i | \(-0.301936\pi\) |
0.201960 | + | 0.979394i | \(0.435269\pi\) | |||||||
\(80\) | −9.97722 | + | 0.163120i | −1.11549 | + | 0.0182373i | ||||
\(81\) | −8.88995 | + | 1.40313i | −0.987772 | + | 0.155903i | ||||
\(82\) | −3.48052 | −0.384359 | ||||||||
\(83\) | 1.78998 | + | 1.98798i | 0.196476 | + | 0.218209i | 0.833330 | − | 0.552775i | \(-0.186431\pi\) |
−0.636854 | + | 0.770984i | \(0.719765\pi\) | |||||||
\(84\) | −3.39892 | + | 7.37022i | −0.370852 | + | 0.804157i | ||||
\(85\) | −16.3564 | − | 6.96422i | −1.77410 | − | 0.755376i | ||||
\(86\) | 1.79178 | − | 17.0477i | 0.193213 | − | 1.83830i | ||||
\(87\) | 5.57673 | + | 7.89315i | 0.597889 | + | 0.846234i | ||||
\(88\) | 0.0441655 | + | 0.420207i | 0.00470806 | + | 0.0447942i | ||||
\(89\) | −8.19461 | − | 5.95373i | −0.868627 | − | 0.631094i | 0.0615912 | − | 0.998101i | \(-0.480382\pi\) |
−0.930218 | + | 0.367007i | \(0.880382\pi\) | |||||||
\(90\) | 11.8932 | − | 5.15189i | 1.25365 | − | 0.543056i | ||||
\(91\) | −5.97541 | + | 4.34139i | −0.626393 | + | 0.455101i | ||||
\(92\) | 2.39081 | + | 2.65526i | 0.249259 | + | 0.276830i | ||||
\(93\) | −10.5305 | − | 6.26690i | −1.09196 | − | 0.649847i | ||||
\(94\) | 5.91100 | − | 1.25642i | 0.609673 | − | 0.129590i | ||||
\(95\) | −14.7586 | − | 6.28392i | −1.51420 | − | 0.644717i | ||||
\(96\) | −2.90341 | + | 12.8232i | −0.296328 | + | 1.30876i | ||||
\(97\) | −5.78117 | − | 1.22883i | −0.586989 | − | 0.124768i | −0.0951626 | − | 0.995462i | \(-0.530337\pi\) |
−0.491826 | + | 0.870693i | \(0.663670\pi\) | |||||||
\(98\) | 0.484914 | + | 0.352310i | 0.0489837 | + | 0.0355887i | ||||
\(99\) | −1.17235 | − | 2.16058i | −0.117825 | − | 0.217146i | ||||
\(100\) | −6.84034 | + | 5.31995i | −0.684034 | + | 0.531995i | ||||
\(101\) | 4.27666 | − | 7.40739i | 0.425544 | − | 0.737063i | −0.570927 | − | 0.821000i | \(-0.693416\pi\) |
0.996471 | + | 0.0839375i | \(0.0267496\pi\) | |||||||
\(102\) | −15.9218 | + | 21.3159i | −1.57649 | + | 2.11059i | ||||
\(103\) | 0.723748 | − | 0.803804i | 0.0713130 | − | 0.0792011i | −0.706432 | − | 0.707780i | \(-0.749697\pi\) |
0.777745 | + | 0.628579i | \(0.216363\pi\) | |||||||
\(104\) | −0.942578 | + | 1.04684i | −0.0924274 | + | 0.102651i | ||||
\(105\) | −2.20914 | − | 10.2359i | −0.215590 | − | 0.998919i | ||||
\(106\) | −2.56504 | − | 2.84877i | −0.249139 | − | 0.276697i | ||||
\(107\) | −11.2196 | −1.08464 | −0.542321 | − | 0.840171i | \(-0.682455\pi\) | ||||
−0.542321 | + | 0.840171i | \(0.682455\pi\) | |||||||
\(108\) | −1.52150 | − | 8.87606i | −0.146407 | − | 0.854100i | ||||
\(109\) | −5.51708 | + | 4.00840i | −0.528441 | + | 0.383935i | −0.819774 | − | 0.572687i | \(-0.805901\pi\) |
0.291333 | + | 0.956622i | \(0.405901\pi\) | |||||||
\(110\) | 2.41143 | + | 2.59168i | 0.229921 | + | 0.247107i | ||||
\(111\) | 2.93565 | + | 0.347857i | 0.278639 | + | 0.0330171i | ||||
\(112\) | 11.0224 | + | 4.90751i | 1.04152 | + | 0.463716i | ||||
\(113\) | 10.0257 | + | 4.46373i | 0.943139 | + | 0.419912i | 0.819927 | − | 0.572468i | \(-0.194014\pi\) |
0.123212 | + | 0.992380i | \(0.460681\pi\) | |||||||
\(114\) | −14.3665 | + | 19.2336i | −1.34554 | + | 1.80139i | ||||
\(115\) | −4.52423 | − | 0.884614i | −0.421887 | − | 0.0824907i | ||||
\(116\) | −7.82351 | + | 5.68411i | −0.726394 | + | 0.527756i | ||||
\(117\) | 2.73773 | − | 7.72452i | 0.253103 | − | 0.714132i | ||||
\(118\) | −7.76580 | −0.714900 | ||||||||
\(119\) | 14.3832 | + | 15.9742i | 1.31851 | + | 1.46435i | ||||
\(120\) | −0.818002 | − | 1.82193i | −0.0746730 | − | 0.166318i | ||||
\(121\) | −6.91119 | + | 7.67565i | −0.628290 | + | 0.697787i | ||||
\(122\) | −3.24390 | + | 3.60272i | −0.293689 | + | 0.326175i | ||||
\(123\) | −1.23126 | − | 2.86689i | −0.111019 | − | 0.258499i | ||||
\(124\) | 6.13085 | − | 10.6190i | 0.550567 | − | 0.953610i | ||||
\(125\) | 2.92949 | − | 10.7897i | 0.262021 | − | 0.965062i | ||||
\(126\) | −15.6664 | − | 0.414455i | −1.39568 | − | 0.0369226i | ||||
\(127\) | 3.49392 | + | 2.53848i | 0.310035 | + | 0.225254i | 0.731912 | − | 0.681400i | \(-0.238628\pi\) |
−0.421876 | + | 0.906653i | \(0.638628\pi\) | |||||||
\(128\) | 3.99919 | + | 0.850054i | 0.353482 | + | 0.0751349i | ||||
\(129\) | 14.6760 | − | 4.55484i | 1.29215 | − | 0.401032i | ||||
\(130\) | −1.04163 | + | 11.7562i | −0.0913573 | + | 1.03109i | ||||
\(131\) | 9.77474 | − | 2.07769i | 0.854023 | − | 0.181528i | 0.239958 | − | 0.970783i | \(-0.422866\pi\) |
0.614065 | + | 0.789255i | \(0.289533\pi\) | |||||||
\(132\) | 2.14620 | − | 1.20155i | 0.186803 | − | 0.104582i | ||||
\(133\) | 12.9782 | + | 14.4138i | 1.12535 | + | 1.24983i | ||||
\(134\) | 9.07090 | − | 6.59040i | 0.783607 | − | 0.569324i | ||||
\(135\) | 8.45088 | + | 7.97387i | 0.727336 | + | 0.686281i | ||||
\(136\) | 3.31665 | + | 2.40969i | 0.284400 | + | 0.206629i | ||||
\(137\) | −1.57702 | − | 15.0043i | −0.134734 | − | 1.28190i | −0.827797 | − | 0.561027i | \(-0.810406\pi\) |
0.693064 | − | 0.720876i | \(-0.256260\pi\) | |||||||
\(138\) | −2.88929 | + | 6.26514i | −0.245953 | + | 0.533324i | ||||
\(139\) | 1.95191 | − | 18.5712i | 0.165559 | − | 1.57519i | −0.524486 | − | 0.851419i | \(-0.675743\pi\) |
0.690045 | − | 0.723766i | \(-0.257591\pi\) | |||||||
\(140\) | 10.2120 | − | 2.34574i | 0.863074 | − | 0.198251i | ||||
\(141\) | 3.12596 | + | 4.42440i | 0.263253 | + | 0.372601i | ||||
\(142\) | 14.0056 | + | 15.5548i | 1.17532 | + | 1.30533i | ||||
\(143\) | 2.23837 | 0.187182 | ||||||||
\(144\) | −13.1641 | + | 2.43616i | −1.09701 | + | 0.203014i | ||||
\(145\) | 3.66104 | − | 11.9275i | 0.304033 | − | 0.990529i | ||||
\(146\) | −28.4102 | − | 6.03877i | −2.35124 | − | 0.499772i | ||||
\(147\) | −0.118655 | + | 0.524054i | −0.00978652 | + | 0.0432232i | ||||
\(148\) | −0.309195 | + | 2.94179i | −0.0254157 | + | 0.241814i | ||||
\(149\) | 4.15919 | + | 7.20392i | 0.340734 | + | 0.590168i | 0.984569 | − | 0.174996i | \(-0.0559912\pi\) |
−0.643835 | + | 0.765164i | \(0.722658\pi\) | |||||||
\(150\) | −14.6511 | − | 8.08263i | −1.19626 | − | 0.659944i | ||||
\(151\) | −4.97506 | + | 8.61706i | −0.404865 | + | 0.701247i | −0.994306 | − | 0.106565i | \(-0.966015\pi\) |
0.589441 | + | 0.807812i | \(0.299348\pi\) | |||||||
\(152\) | 2.99266 | + | 2.17430i | 0.242737 | + | 0.176359i | ||||
\(153\) | −23.1902 | − | 5.57408i | −1.87482 | − | 0.450637i | ||||
\(154\) | −1.32273 | − | 4.07093i | −0.106588 | − | 0.328045i | ||||
\(155\) | 1.91062 | + | 15.7043i | 0.153465 | + | 1.26140i | ||||
\(156\) | 7.76481 | + | 2.63696i | 0.621682 | + | 0.211126i | ||||
\(157\) | −8.25724 | − | 14.3020i | −0.658999 | − | 1.14142i | −0.980875 | − | 0.194638i | \(-0.937647\pi\) |
0.321876 | − | 0.946782i | \(-0.395687\pi\) | |||||||
\(158\) | −13.4777 | + | 2.86478i | −1.07223 | + | 0.227909i | ||||
\(159\) | 1.43912 | − | 3.12058i | 0.114129 | − | 0.247478i | ||||
\(160\) | 15.3913 | − | 7.15640i | 1.21679 | − | 0.565763i | ||||
\(161\) | 4.50952 | + | 3.27636i | 0.355400 | + | 0.258213i | ||||
\(162\) | 14.5889 | − | 9.46296i | 1.14621 | − | 0.743481i | ||||
\(163\) | 4.87852 | − | 3.54446i | 0.382115 | − | 0.277623i | −0.380101 | − | 0.924945i | \(-0.624111\pi\) |
0.762217 | + | 0.647322i | \(0.224111\pi\) | |||||||
\(164\) | 2.85211 | − | 1.26984i | 0.222712 | − | 0.0991579i | ||||
\(165\) | −1.28170 | + | 2.90311i | −0.0997802 | + | 0.226007i | ||||
\(166\) | −4.72176 | − | 2.10226i | −0.366480 | − | 0.163167i | ||||
\(167\) | 8.11680 | − | 1.72528i | 0.628097 | − | 0.133506i | 0.117144 | − | 0.993115i | \(-0.462626\pi\) |
0.510953 | + | 0.859609i | \(0.329293\pi\) | |||||||
\(168\) | −0.0319338 | + | 2.41462i | −0.00246375 | + | 0.186292i | ||||
\(169\) | −3.70525 | − | 4.11509i | −0.285019 | − | 0.316546i | ||||
\(170\) | 34.3434 | − | 0.561487i | 2.63402 | − | 0.0430641i | ||||
\(171\) | −20.9249 | − | 5.02957i | −1.60017 | − | 0.384621i | ||||
\(172\) | 4.75144 | + | 14.6234i | 0.362294 | + | 1.11503i | ||||
\(173\) | −5.37441 | + | 2.39284i | −0.408609 | + | 0.181924i | −0.600739 | − | 0.799445i | \(-0.705127\pi\) |
0.192131 | + | 0.981369i | \(0.438460\pi\) | |||||||
\(174\) | −16.0464 | − | 9.54951i | −1.21647 | − | 0.723946i | ||||
\(175\) | −8.71254 | + | 10.3367i | −0.658606 | + | 0.781381i | ||||
\(176\) | −1.82827 | − | 3.16665i | −0.137811 | − | 0.238695i | ||||
\(177\) | −2.74720 | − | 6.39666i | −0.206492 | − | 0.480802i | ||||
\(178\) | 19.1430 | + | 4.06898i | 1.43483 | + | 0.304983i | ||||
\(179\) | −2.86737 | − | 8.82487i | −0.214318 | − | 0.659602i | −0.999201 | − | 0.0399587i | \(-0.987277\pi\) |
0.784884 | − | 0.619643i | \(-0.212723\pi\) | |||||||
\(180\) | −7.86624 | + | 8.56084i | −0.586315 | + | 0.638088i | ||||
\(181\) | −1.70671 | + | 5.25272i | −0.126859 | + | 0.390432i | −0.994235 | − | 0.107221i | \(-0.965805\pi\) |
0.867376 | + | 0.497653i | \(0.165805\pi\) | |||||||
\(182\) | 7.13536 | − | 12.3588i | 0.528908 | − | 0.916096i | ||||
\(183\) | −4.11509 | − | 1.39750i | −0.304197 | − | 0.103306i | ||||
\(184\) | 0.971178 | + | 0.432396i | 0.0715962 | + | 0.0318767i | ||||
\(185\) | −1.96198 | − | 3.27348i | −0.144248 | − | 0.240671i | ||||
\(186\) | 23.5122 | + | 2.78605i | 1.72399 | + | 0.204283i | ||||
\(187\) | −0.680929 | − | 6.47860i | −0.0497944 | − | 0.473763i | ||||
\(188\) | −4.38536 | + | 3.18615i | −0.319835 | + | 0.232374i | ||||
\(189\) | −5.20072 | − | 13.0510i | −0.378297 | − | 0.949320i | ||||
\(190\) | 30.9885 | − | 0.506638i | 2.24814 | − | 0.0367554i | ||||
\(191\) | 0.674771 | + | 6.42002i | 0.0488247 | + | 0.464536i | 0.991431 | + | 0.130630i | \(0.0417001\pi\) |
−0.942606 | + | 0.333906i | \(0.891633\pi\) | |||||||
\(192\) | −1.93877 | − | 9.75369i | −0.139918 | − | 0.703912i | ||||
\(193\) | −1.85003 | − | 3.20434i | −0.133168 | − | 0.230653i | 0.791728 | − | 0.610873i | \(-0.209182\pi\) |
−0.924896 | + | 0.380220i | \(0.875848\pi\) | |||||||
\(194\) | 11.1700 | − | 2.37425i | 0.801956 | − | 0.170461i | ||||
\(195\) | −10.0520 | + | 3.30085i | −0.719841 | + | 0.236379i | ||||
\(196\) | −0.525899 | − | 0.111783i | −0.0375642 | − | 0.00798453i | ||||
\(197\) | 6.74729 | + | 20.7660i | 0.480724 | + | 1.47952i | 0.838079 | + | 0.545549i | \(0.183679\pi\) |
−0.357355 | + | 0.933969i | \(0.616321\pi\) | |||||||
\(198\) | 3.76722 | + | 2.89230i | 0.267725 | + | 0.205547i | ||||
\(199\) | 16.3004 | 1.15550 | 0.577752 | − | 0.816212i | \(-0.303930\pi\) | ||||
0.577752 | + | 0.816212i | \(0.303930\pi\) | |||||||
\(200\) | −1.21546 | + | 2.27381i | −0.0859463 | + | 0.160783i | ||||
\(201\) | 8.63737 | + | 5.14027i | 0.609233 | + | 0.362567i | ||||
\(202\) | −1.72745 | + | 16.4356i | −0.121543 | + | 1.15640i | ||||
\(203\) | −10.0947 | + | 11.2113i | −0.708508 | + | 0.786878i | ||||
\(204\) | 5.27015 | − | 23.2762i | 0.368984 | − | 1.62966i | ||||
\(205\) | −1.95673 | + | 3.52084i | −0.136664 | + | 0.245906i | ||||
\(206\) | −0.645795 | + | 1.98755i | −0.0449947 | + | 0.138479i | ||||
\(207\) | −6.18267 | − | 0.163562i | −0.429726 | − | 0.0113684i | ||||
\(208\) | 3.76712 | − | 11.5940i | 0.261203 | − | 0.803900i | ||||
\(209\) | −0.614412 | − | 5.84574i | −0.0424998 | − | 0.404359i | ||||
\(210\) | 11.9433 | + | 16.3311i | 0.824169 | + | 1.12695i | ||||
\(211\) | 0.324720 | − | 3.08951i | 0.0223547 | − | 0.212691i | −0.977642 | − | 0.210274i | \(-0.932564\pi\) |
0.999997 | − | 0.00241612i | \(-0.000769075\pi\) | |||||||
\(212\) | 3.14127 | + | 1.39858i | 0.215743 | + | 0.0960551i | ||||
\(213\) | −7.85783 | + | 17.0389i | −0.538410 | + | 1.16749i | ||||
\(214\) | 19.8036 | − | 8.81714i | 1.35375 | − | 0.602727i | ||||
\(215\) | −16.2378 | − | 11.3966i | −1.10741 | − | 0.777244i | ||||
\(216\) | −1.48772 | − | 2.22847i | −0.101226 | − | 0.151628i | ||||
\(217\) | 5.91114 | − | 18.1926i | 0.401275 | − | 1.23500i | ||||
\(218\) | 6.58806 | − | 11.4109i | 0.446200 | − | 0.772841i | ||||
\(219\) | −5.07617 | − | 25.5376i | −0.343016 | − | 1.72567i | ||||
\(220\) | −2.92160 | − | 1.24396i | −0.196974 | − | 0.0838678i | ||||
\(221\) | 14.5324 | − | 16.1398i | 0.977552 | − | 1.08568i | ||||
\(222\) | −5.45504 | + | 1.69303i | −0.366118 | + | 0.113629i | ||||
\(223\) | 14.8973 | − | 6.63273i | 0.997600 | − | 0.444160i | 0.158043 | − | 0.987432i | \(-0.449481\pi\) |
0.839557 | + | 0.543272i | \(0.182815\pi\) | |||||||
\(224\) | −20.5238 | −1.37130 | ||||||||
\(225\) | 1.47471 | − | 14.9273i | 0.0983140 | − | 0.995155i | ||||
\(226\) | −21.2041 | −1.41048 | ||||||||
\(227\) | −6.12578 | + | 2.72737i | −0.406583 | + | 0.181022i | −0.599829 | − | 0.800128i | \(-0.704765\pi\) |
0.193247 | + | 0.981150i | \(0.438098\pi\) | |||||||
\(228\) | 4.75534 | − | 21.0025i | 0.314930 | − | 1.39092i | ||||
\(229\) | −8.22313 | + | 9.13271i | −0.543400 | + | 0.603507i | −0.950824 | − | 0.309732i | \(-0.899761\pi\) |
0.407424 | + | 0.913239i | \(0.366427\pi\) | |||||||
\(230\) | 8.68085 | − | 1.99403i | 0.572398 | − | 0.131482i | ||||
\(231\) | 2.88529 | − | 2.52964i | 0.189838 | − | 0.166438i | ||||
\(232\) | −1.43863 | + | 2.49178i | −0.0944505 | + | 0.163593i | ||||
\(233\) | −7.56793 | + | 23.2917i | −0.495791 | + | 1.52589i | 0.319929 | + | 0.947442i | \(0.396341\pi\) |
−0.815720 | + | 0.578447i | \(0.803659\pi\) | |||||||
\(234\) | 1.23811 | + | 15.7859i | 0.0809378 | + | 1.03196i | ||||
\(235\) | 2.05215 | − | 6.68582i | 0.133867 | − | 0.436135i | ||||
\(236\) | 6.36367 | − | 2.83329i | 0.414240 | − | 0.184431i | ||||
\(237\) | −7.12754 | − | 10.0881i | −0.462983 | − | 0.655293i | ||||
\(238\) | −37.9412 | − | 16.8925i | −2.45936 | − | 1.09498i | ||||
\(239\) | −2.76725 | + | 26.3287i | −0.178999 | + | 1.70306i | 0.424282 | + | 0.905530i | \(0.360527\pi\) |
−0.603280 | + | 0.797529i | \(0.706140\pi\) | |||||||
\(240\) | 12.8801 | + | 11.5247i | 0.831407 | + | 0.743913i | ||||
\(241\) | −0.625085 | − | 5.94729i | −0.0402653 | − | 0.383098i | −0.996034 | − | 0.0889779i | \(-0.971640\pi\) |
0.955768 | − | 0.294121i | \(-0.0950267\pi\) | |||||||
\(242\) | 6.16680 | − | 18.9795i | 0.396417 | − | 1.22005i | ||||
\(243\) | 12.9555 | + | 8.66919i | 0.831096 | + | 0.556129i | ||||
\(244\) | 1.34379 | − | 4.13575i | 0.0860272 | − | 0.264764i | ||||
\(245\) | 0.629007 | − | 0.292465i | 0.0401858 | − | 0.0186849i | ||||
\(246\) | 4.42627 | + | 4.09270i | 0.282209 | + | 0.260941i | ||||
\(247\) | 13.1128 | − | 14.5632i | 0.834345 | − | 0.926635i | ||||
\(248\) | 0.381347 | − | 3.62827i | 0.0242155 | − | 0.230396i | ||||
\(249\) | 0.0612719 | − | 4.63298i | 0.00388295 | − | 0.293603i | ||||
\(250\) | 3.30849 | + | 21.3470i | 0.209247 | + | 1.35010i | ||||
\(251\) | 5.15329 | 0.325273 | 0.162636 | − | 0.986686i | \(-0.448000\pi\) | ||||
0.162636 | + | 0.986686i | \(0.448000\pi\) | |||||||
\(252\) | 12.9890 | − | 5.37615i | 0.818233 | − | 0.338666i | ||||
\(253\) | −0.522007 | − | 1.60657i | −0.0328183 | − | 0.101004i | ||||
\(254\) | −8.16198 | − | 1.73488i | −0.512128 | − | 0.108856i | ||||
\(255\) | 12.6117 | + | 28.0899i | 0.789774 | + | 1.75906i | ||||
\(256\) | −18.9589 | + | 4.02985i | −1.18493 | + | 0.251865i | ||||
\(257\) | 2.34536 | + | 4.06228i | 0.146300 | + | 0.253398i | 0.929857 | − | 0.367921i | \(-0.119930\pi\) |
−0.783558 | + | 0.621319i | \(0.786597\pi\) | |||||||
\(258\) | −22.3248 | + | 19.5730i | −1.38988 | + | 1.21856i | ||||
\(259\) | 0.482359 | + | 4.58934i | 0.0299723 | + | 0.285168i | ||||
\(260\) | −3.43560 | − | 10.0136i | −0.213067 | − | 0.621020i | ||||
\(261\) | 2.18938 | − | 16.5955i | 0.135519 | − | 1.02724i | ||||
\(262\) | −15.6205 | + | 11.3489i | −0.965036 | + | 0.701140i | ||||
\(263\) | −1.16975 | − | 11.1294i | −0.0721298 | − | 0.686269i | −0.969517 | − | 0.245025i | \(-0.921204\pi\) |
0.897387 | − | 0.441244i | \(-0.145463\pi\) | |||||||
\(264\) | 0.437950 | − | 0.586321i | 0.0269539 | − | 0.0360856i | ||||
\(265\) | −4.32382 | + | 0.993198i | −0.265610 | + | 0.0610117i | ||||
\(266\) | −34.2349 | − | 15.2424i | −2.09908 | − | 0.934570i | ||||
\(267\) | 3.42037 | + | 17.2075i | 0.209323 | + | 1.05308i | ||||
\(268\) | −5.02868 | + | 8.70994i | −0.307176 | + | 0.532044i | ||||
\(269\) | 1.35264 | − | 4.16300i | 0.0824720 | − | 0.253823i | −0.901315 | − | 0.433165i | \(-0.857397\pi\) |
0.983787 | + | 0.179342i | \(0.0573969\pi\) | |||||||
\(270\) | −21.1829 | − | 7.43329i | −1.28915 | − | 0.452376i | ||||
\(271\) | −2.71988 | − | 8.37092i | −0.165221 | − | 0.508497i | 0.833832 | − | 0.552019i | \(-0.186142\pi\) |
−0.999052 | + | 0.0435216i | \(0.986142\pi\) | |||||||
\(272\) | −34.7030 | − | 7.37635i | −2.10418 | − | 0.447257i | ||||
\(273\) | 12.7041 | + | 1.50536i | 0.768886 | + | 0.0911084i | ||||
\(274\) | 14.5749 | + | 25.2446i | 0.880505 | + | 1.52508i | ||||
\(275\) | 3.97740 | − | 0.982341i | 0.239846 | − | 0.0592374i | ||||
\(276\) | 0.0818385 | − | 6.18809i | 0.00492610 | − | 0.372479i | ||||
\(277\) | −9.68902 | + | 4.31383i | −0.582157 | + | 0.259193i | −0.676616 | − | 0.736336i | \(-0.736554\pi\) |
0.0944594 | + | 0.995529i | \(0.469888\pi\) | |||||||
\(278\) | 11.1492 | + | 34.3136i | 0.668683 | + | 2.05799i | ||||
\(279\) | 6.02272 | + | 20.3524i | 0.360571 | + | 1.21847i | ||||
\(280\) | 2.49185 | − | 1.87343i | 0.148917 | − | 0.111959i | ||||
\(281\) | 19.5667 | + | 21.7310i | 1.16725 | + | 1.29636i | 0.947115 | + | 0.320893i | \(0.103983\pi\) |
0.220135 | + | 0.975470i | \(0.429350\pi\) | |||||||
\(282\) | −8.99458 | − | 5.35285i | −0.535619 | − | 0.318757i | ||||
\(283\) | −5.64494 | + | 1.19987i | −0.335557 | + | 0.0713248i | −0.372609 | − | 0.927989i | \(-0.621537\pi\) |
0.0370520 | + | 0.999313i | \(0.488203\pi\) | |||||||
\(284\) | −17.1519 | − | 7.63651i | −1.01778 | − | 0.453143i | ||||
\(285\) | 11.3797 | + | 25.3459i | 0.674076 | + | 1.50136i | ||||
\(286\) | −3.95091 | + | 1.75906i | −0.233622 | + | 0.104015i | ||||
\(287\) | 3.94032 | − | 2.86281i | 0.232590 | − | 0.168986i | ||||
\(288\) | 18.7710 | − | 12.8935i | 1.10609 | − | 0.759758i | ||||
\(289\) | −37.3817 | − | 27.1594i | −2.19892 | − | 1.59761i | ||||
\(290\) | 2.91141 | + | 23.9302i | 0.170964 | + | 1.40523i | ||||
\(291\) | 5.90710 | + | 8.36074i | 0.346280 | + | 0.490115i | ||||
\(292\) | 25.4839 | − | 5.41676i | 1.49133 | − | 0.316992i | ||||
\(293\) | −2.64859 | − | 4.58748i | −0.154732 | − | 0.268004i | 0.778229 | − | 0.627980i | \(-0.216118\pi\) |
−0.932961 | + | 0.359976i | \(0.882785\pi\) | |||||||
\(294\) | −0.202400 | − | 1.01825i | −0.0118042 | − | 0.0593853i | ||||
\(295\) | −4.36588 | + | 7.85576i | −0.254191 | + | 0.457380i | ||||
\(296\) | 0.271966 | + | 0.837026i | 0.0158077 | + | 0.0486511i | ||||
\(297\) | −1.04970 | + | 4.12621i | −0.0609095 | + | 0.239427i | ||||
\(298\) | −13.0026 | − | 9.44697i | −0.753223 | − | 0.547248i | ||||
\(299\) | 2.81593 | − | 4.87734i | 0.162849 | − | 0.282064i | ||||
\(300\) | 14.9547 | + | 1.27797i | 0.863410 | + | 0.0737834i | ||||
\(301\) | 11.9936 | + | 20.7736i | 0.691301 | + | 1.19737i | ||||
\(302\) | 2.00955 | − | 19.1196i | 0.115637 | − | 1.10021i | ||||
\(303\) | −14.1490 | + | 4.39130i | −0.812839 | + | 0.252273i | ||||
\(304\) | −31.3131 | − | 6.65580i | −1.79593 | − | 0.381736i | ||||
\(305\) | 1.82075 | + | 5.30690i | 0.104256 | + | 0.303872i | ||||
\(306\) | 45.3132 | − | 8.38571i | 2.59038 | − | 0.479379i | ||||
\(307\) | 1.36470 | 0.0778874 | 0.0389437 | − | 0.999241i | \(-0.487601\pi\) | ||||
0.0389437 | + | 0.999241i | \(0.487601\pi\) | |||||||
\(308\) | 2.56915 | + | 2.85333i | 0.146391 | + | 0.162584i | ||||
\(309\) | −1.86559 | + | 0.171171i | −0.106130 | + | 0.00973758i | ||||
\(310\) | −15.7139 | − | 26.2179i | −0.892489 | − | 1.48908i | ||||
\(311\) | 1.02447 | − | 9.74719i | 0.0580924 | − | 0.552712i | −0.926308 | − | 0.376768i | \(-0.877035\pi\) |
0.984400 | − | 0.175944i | \(-0.0562979\pi\) | |||||||
\(312\) | 2.42967 | − | 0.222926i | 0.137553 | − | 0.0126207i | ||||
\(313\) | −2.64290 | − | 25.1455i | −0.149385 | − | 1.42131i | −0.770427 | − | 0.637529i | \(-0.779957\pi\) |
0.621041 | − | 0.783778i | \(-0.286710\pi\) | |||||||
\(314\) | 25.8142 | + | 18.7551i | 1.45678 | + | 1.05841i | ||||
\(315\) | −9.22682 | + | 15.6149i | −0.519872 | + | 0.879801i | ||||
\(316\) | 9.99910 | − | 7.26477i | 0.562494 | − | 0.408675i | ||||
\(317\) | 10.9212 | + | 12.1292i | 0.613393 | + | 0.681242i | 0.967182 | − | 0.254083i | \(-0.0817736\pi\) |
−0.353789 | + | 0.935325i | \(0.615107\pi\) | |||||||
\(318\) | −0.0878025 | + | 6.63905i | −0.00492372 | + | 0.372300i | ||||
\(319\) | 4.47206 | − | 0.950567i | 0.250388 | − | 0.0532215i | ||||
\(320\) | −8.43339 | + | 9.67987i | −0.471441 | + | 0.541121i | ||||
\(321\) | 14.2683 | + | 13.1930i | 0.796379 | + | 0.736364i | ||||
\(322\) | −10.5345 | − | 2.23917i | −0.587063 | − | 0.124784i | ||||
\(323\) | −46.1399 | − | 33.5226i | −2.56729 | − | 1.86525i | ||||
\(324\) | −8.50233 | + | 13.0770i | −0.472351 | + | 0.726502i | ||||
\(325\) | 11.3068 | + | 7.66297i | 0.627189 | + | 0.425065i | ||||
\(326\) | −5.82554 | + | 10.0901i | −0.322647 | + | 0.558841i | ||||
\(327\) | 11.7296 | + | 1.38989i | 0.648651 | + | 0.0768613i | ||||
\(328\) | 0.621557 | − | 0.690309i | 0.0343198 | − | 0.0381160i | ||||
\(329\) | −5.65844 | + | 6.28433i | −0.311960 | + | 0.346467i | ||||
\(330\) | −0.0191509 | − | 6.13149i | −0.00105422 | − | 0.337527i | ||||
\(331\) | −1.81538 | − | 2.01618i | −0.0997823 | − | 0.110820i | 0.691185 | − | 0.722678i | \(-0.257089\pi\) |
−0.790967 | + | 0.611858i | \(0.790422\pi\) | |||||||
\(332\) | 4.63623 | 0.254446 | ||||||||
\(333\) | −3.32430 | − | 3.89437i | −0.182170 | − | 0.213410i | ||||
\(334\) | −12.9710 | + | 9.42398i | −0.709742 | + | 0.515657i | ||||
\(335\) | −1.56714 | − | 12.8811i | −0.0856221 | − | 0.703768i | ||||
\(336\) | −8.24685 | − | 19.2022i | −0.449902 | − | 1.04756i | ||||
\(337\) | 31.5207 | + | 14.0339i | 1.71704 | + | 0.764477i | 0.997549 | + | 0.0699777i | \(0.0222928\pi\) |
0.719494 | + | 0.694499i | \(0.244374\pi\) | |||||||
\(338\) | 9.77399 | + | 4.35166i | 0.531635 | + | 0.236699i | ||||
\(339\) | −7.50110 | − | 17.4657i | −0.407404 | − | 0.948609i | ||||
\(340\) | −27.9378 | + | 12.9900i | −1.51514 | + | 0.704482i | ||||
\(341\) | −4.68995 | + | 3.40745i | −0.253975 | + | 0.184524i | ||||
\(342\) | 40.8868 | − | 7.56655i | 2.21091 | − | 0.409152i | ||||
\(343\) | 18.0874 | 0.976630 | ||||||||
\(344\) | 3.06117 | + | 3.39978i | 0.165047 | + | 0.183304i | ||||
\(345\) | 4.71338 | + | 6.44498i | 0.253760 | + | 0.346986i | ||||
\(346\) | 7.60584 | − | 8.44714i | 0.408892 | − | 0.454121i | ||||
\(347\) | 15.2132 | − | 16.8960i | 0.816688 | − | 0.907024i | −0.180376 | − | 0.983598i | \(-0.557731\pi\) |
0.997064 | + | 0.0765735i | \(0.0243980\pi\) | |||||||
\(348\) | 16.6332 | + | 1.97094i | 0.891635 | + | 0.105653i | ||||
\(349\) | −16.7926 | + | 29.0857i | −0.898890 | + | 1.55692i | −0.0699744 | + | 0.997549i | \(0.522292\pi\) |
−0.828915 | + | 0.559374i | \(0.811042\pi\) | |||||||
\(350\) | 7.25511 | − | 25.0920i | 0.387802 | − | 1.34123i | ||||
\(351\) | −12.5648 | + | 6.60420i | −0.670660 | + | 0.352506i | ||||
\(352\) | 5.03196 | + | 3.65593i | 0.268204 | + | 0.194862i | ||||
\(353\) | 7.10339 | + | 1.50987i | 0.378075 | + | 0.0803623i | 0.393030 | − | 0.919526i | \(-0.371427\pi\) |
−0.0149545 | + | 0.999888i | \(0.504760\pi\) | |||||||
\(354\) | 9.87596 | + | 9.13171i | 0.524902 | + | 0.485345i | ||||
\(355\) | 23.6088 | − | 5.42303i | 1.25302 | − | 0.287825i | ||||
\(356\) | −17.1713 | + | 3.64986i | −0.910075 | + | 0.193442i | ||||
\(357\) | 0.492344 | − | 37.2279i | 0.0260576 | − | 1.97031i | ||||
\(358\) | 11.9963 | + | 13.3233i | 0.634026 | + | 0.704157i | ||||
\(359\) | 28.1506 | − | 20.4526i | 1.48573 | − | 1.07945i | 0.510079 | − | 0.860128i | \(-0.329616\pi\) |
0.975653 | − | 0.219320i | \(-0.0703837\pi\) | |||||||
\(360\) | −1.10211 | + | 3.27887i | −0.0580862 | + | 0.172812i | ||||
\(361\) | −26.2614 | − | 19.0800i | −1.38218 | − | 1.00421i | ||||
\(362\) | −1.11544 | − | 10.6127i | −0.0586265 | − | 0.557794i | ||||
\(363\) | 17.8149 | − | 1.63454i | 0.935037 | − | 0.0857911i | ||||
\(364\) | −1.33805 | + | 12.7307i | −0.0701328 | + | 0.667269i | ||||
\(365\) | −22.0807 | + | 25.3443i | −1.15576 | + | 1.32658i | ||||
\(366\) | 8.36175 | − | 0.767203i | 0.437075 | − | 0.0401023i | ||||
\(367\) | 0.958614 | + | 1.06465i | 0.0500392 | + | 0.0555742i | 0.767645 | − | 0.640876i | \(-0.221429\pi\) |
−0.717606 | + | 0.696450i | \(0.754762\pi\) | |||||||
\(368\) | −9.20004 | −0.479585 | ||||||||
\(369\) | −1.80532 | + | 5.09372i | −0.0939813 | + | 0.265168i | ||||
\(370\) | 6.03558 | + | 4.23611i | 0.313775 | + | 0.220225i | ||||
\(371\) | 5.24708 | + | 1.11530i | 0.272415 | + | 0.0579035i | ||||
\(372\) | −20.2835 | + | 6.29519i | −1.05165 | + | 0.326391i | ||||
\(373\) | −3.21995 | + | 30.6357i | −0.166722 | + | 1.58626i | 0.516655 | + | 0.856194i | \(0.327177\pi\) |
−0.683378 | + | 0.730065i | \(0.739490\pi\) | |||||||
\(374\) | 6.29322 | + | 10.9002i | 0.325415 | + | 0.563635i | ||||
\(375\) | −16.4130 | + | 10.2768i | −0.847564 | + | 0.530693i | ||||
\(376\) | −0.806403 | + | 1.39673i | −0.0415871 | + | 0.0720309i | ||||
\(377\) | 12.3316 | + | 8.95943i | 0.635110 | + | 0.461434i | ||||
\(378\) | 19.4361 | + | 18.9491i | 0.999683 | + | 0.974634i | ||||
\(379\) | 7.87727 | + | 24.2437i | 0.404628 | + | 1.24532i | 0.921205 | + | 0.389077i | \(0.127206\pi\) |
−0.516577 | + | 0.856241i | \(0.672794\pi\) | |||||||
\(380\) | −25.2087 | + | 11.7211i | −1.29318 | + | 0.601279i | ||||
\(381\) | −1.45834 | − | 7.33671i | −0.0747129 | − | 0.375871i | ||||
\(382\) | −6.23631 | − | 10.8016i | −0.319077 | − | 0.552658i | ||||
\(383\) | 2.68451 | − | 0.570611i | 0.137172 | − | 0.0291568i | −0.138814 | − | 0.990318i | \(-0.544329\pi\) |
0.275986 | + | 0.961162i | \(0.410996\pi\) | |||||||
\(384\) | −4.08630 | − | 5.78364i | −0.208528 | − | 0.295145i | ||||
\(385\) | −4.86172 | − | 0.950602i | −0.247776 | − | 0.0484472i | ||||
\(386\) | 5.78364 | + | 4.20206i | 0.294380 | + | 0.213879i | ||||
\(387\) | −24.0198 | − | 11.4648i | −1.22099 | − | 0.582788i | ||||
\(388\) | −8.28697 | + | 6.02084i | −0.420707 | + | 0.305662i | ||||
\(389\) | 23.8712 | − | 10.6282i | 1.21032 | − | 0.538869i | 0.300463 | − | 0.953793i | \(-0.402859\pi\) |
0.909856 | + | 0.414924i | \(0.136192\pi\) | |||||||
\(390\) | 15.1487 | − | 13.7258i | 0.767083 | − | 0.695035i | ||||
\(391\) | −14.9733 | − | 6.66654i | −0.757232 | − | 0.337142i | ||||
\(392\) | −0.156472 | + | 0.0332592i | −0.00790304 | + | 0.00167984i | ||||
\(393\) | −14.8739 | − | 8.85176i | −0.750290 | − | 0.446512i | ||||
\(394\) | −28.2289 | − | 31.3513i | −1.42215 | − | 1.57946i | ||||
\(395\) | −4.67912 | + | 15.2444i | −0.235432 | + | 0.767029i | ||||
\(396\) | −4.14227 | − | 0.995650i | −0.208157 | − | 0.0500333i | ||||
\(397\) | 0.161451 | + | 0.496896i | 0.00810301 | + | 0.0249385i | 0.955026 | − | 0.296521i | \(-0.0958265\pi\) |
−0.946923 | + | 0.321460i | \(0.895827\pi\) | |||||||
\(398\) | −28.7716 | + | 12.8099i | −1.44219 | + | 0.642104i | ||||
\(399\) | 0.444250 | − | 33.5913i | 0.0222403 | − | 1.68167i | ||||
\(400\) | 1.60567 | − | 22.2549i | 0.0802834 | − | 1.11274i | ||||
\(401\) | 6.86560 | + | 11.8916i | 0.342852 | + | 0.593837i | 0.984961 | − | 0.172776i | \(-0.0552738\pi\) |
−0.642109 | + | 0.766613i | \(0.721940\pi\) | |||||||
\(402\) | −19.2853 | − | 2.28519i | −0.961862 | − | 0.113975i | ||||
\(403\) | −18.9049 | − | 4.01835i | −0.941718 | − | 0.200168i | ||||
\(404\) | −4.58083 | − | 14.0983i | −0.227905 | − | 0.701419i | ||||
\(405\) | −1.37083 | − | 20.0779i | −0.0681172 | − | 0.997677i | ||||
\(406\) | 9.00741 | − | 27.7220i | 0.447030 | − | 1.37582i | ||||
\(407\) | 0.699242 | − | 1.21112i | 0.0346601 | − | 0.0600331i | ||||
\(408\) | −1.38435 | − | 6.96447i | −0.0685353 | − | 0.344793i | ||||
\(409\) | −18.6309 | − | 8.29503i | −0.921240 | − | 0.410163i | −0.109371 | − | 0.994001i | \(-0.534884\pi\) |
−0.811870 | + | 0.583838i | \(0.801550\pi\) | |||||||
\(410\) | 0.686876 | − | 7.75231i | 0.0339224 | − | 0.382859i | ||||
\(411\) | −15.6379 | + | 20.9358i | −0.771358 | + | 1.03268i | ||||
\(412\) | −0.195947 | − | 1.86431i | −0.00965361 | − | 0.0918479i | ||||
\(413\) | 8.79171 | − | 6.38755i | 0.432612 | − | 0.314311i | ||||
\(414\) | 11.0415 | − | 4.57006i | 0.542660 | − | 0.224606i | ||||
\(415\) | −4.78116 | + | 3.59458i | −0.234698 | + | 0.176451i | ||||
\(416\) | 2.16756 | + | 20.6230i | 0.106274 | + | 1.01113i | ||||
\(417\) | −24.3199 | + | 21.3222i | −1.19095 | + | 1.04415i | ||||
\(418\) | 5.67847 | + | 9.83539i | 0.277743 | + | 0.481065i | ||||
\(419\) | −31.4528 | + | 6.68550i | −1.53657 | + | 0.326608i | −0.896967 | − | 0.442097i | \(-0.854235\pi\) |
−0.639603 | + | 0.768705i | \(0.720901\pi\) | |||||||
\(420\) | −15.7452 | − | 9.02506i | −0.768288 | − | 0.440378i | ||||
\(421\) | 7.32382 | + | 1.55673i | 0.356941 | + | 0.0758702i | 0.382892 | − | 0.923793i | \(-0.374928\pi\) |
−0.0259510 | + | 0.999663i | \(0.508261\pi\) | |||||||
\(422\) | 1.85478 | + | 5.70843i | 0.0902894 | + | 0.277882i | ||||
\(423\) | 1.22723 | − | 9.30240i | 0.0596699 | − | 0.452298i | ||||
\(424\) | 1.02308 | 0.0496852 | ||||||||
\(425\) | 18.7396 | − | 35.0569i | 0.909005 | − | 1.70051i | ||||
\(426\) | 0.479417 | − | 36.2504i | 0.0232278 | − | 1.75634i | ||||
\(427\) | 0.709122 | − | 6.74684i | 0.0343168 | − | 0.326503i | ||||
\(428\) | −13.0112 | + | 14.4504i | −0.628919 | + | 0.698485i | ||||
\(429\) | −2.84659 | − | 2.63207i | −0.137435 | − | 0.127078i | ||||
\(430\) | 37.6174 | + | 7.35525i | 1.81407 | + | 0.354702i | ||||
\(431\) | −10.7714 | + | 33.1508i | −0.518838 | + | 1.59682i | 0.257350 | + | 0.966318i | \(0.417151\pi\) |
−0.776188 | + | 0.630501i | \(0.782849\pi\) | |||||||
\(432\) | 19.6058 | + | 12.3814i | 0.943284 | + | 0.595700i | ||||
\(433\) | −0.450743 | + | 1.38724i | −0.0216613 | + | 0.0666667i | −0.961303 | − | 0.275494i | \(-0.911159\pi\) |
0.939642 | + | 0.342160i | \(0.111159\pi\) | |||||||
\(434\) | 3.86331 | + | 36.7569i | 0.185445 | + | 1.76439i | ||||
\(435\) | −18.6813 | + | 10.8636i | −0.895700 | + | 0.520869i | ||||
\(436\) | −1.23542 | + | 11.7542i | −0.0591658 | + | 0.562925i | ||||
\(437\) | −13.5106 | − | 6.01532i | −0.646301 | − | 0.287752i | ||||
\(438\) | 29.0290 | + | 41.0868i | 1.38706 | + | 1.96321i | ||||
\(439\) | 16.2351 | − | 7.22832i | 0.774858 | − | 0.344989i | 0.0190810 | − | 0.999818i | \(-0.493926\pi\) |
0.755777 | + | 0.654829i | \(0.227259\pi\) | |||||||
\(440\) | −0.944660 | + | 0.0154444i | −0.0450349 | + | 0.000736285i | ||||
\(441\) | 0.767125 | − | 0.526927i | 0.0365298 | − | 0.0250918i | ||||
\(442\) | −12.9671 | + | 39.9087i | −0.616783 | + | 1.89826i | ||||
\(443\) | −9.45458 | + | 16.3758i | −0.449201 | + | 0.778038i | −0.998334 | − | 0.0576964i | \(-0.981624\pi\) |
0.549134 | + | 0.835735i | \(0.314958\pi\) | |||||||
\(444\) | 3.85243 | − | 3.37758i | 0.182828 | − | 0.160293i | ||||
\(445\) | 14.8782 | − | 17.0772i | 0.705294 | − | 0.809539i | ||||
\(446\) | −21.0827 | + | 23.4147i | −0.998293 | + | 1.10872i | ||||
\(447\) | 3.18166 | − | 14.0521i | 0.150487 | − | 0.664644i | ||||
\(448\) | 14.1814 | − | 6.31395i | 0.670007 | − | 0.298306i | ||||
\(449\) | 15.8263 | 0.746890 | 0.373445 | − | 0.927652i | \(-0.378177\pi\) | ||||
0.373445 | + | 0.927652i | \(0.378177\pi\) | |||||||
\(450\) | 9.12791 | + | 27.5069i | 0.430294 | + | 1.29669i | ||||
\(451\) | −1.47603 | −0.0695036 | ||||||||
\(452\) | 17.3757 | − | 7.73615i | 0.817283 | − | 0.363878i | ||||
\(453\) | 16.4596 | − | 5.10842i | 0.773340 | − | 0.240015i | ||||
\(454\) | 8.66918 | − | 9.62810i | 0.406865 | − | 0.451869i | ||||
\(455\) | −8.49052 | − | 14.1661i | −0.398042 | − | 0.664115i | ||||
\(456\) | −1.24912 | − | 6.28415i | −0.0584952 | − | 0.294282i | ||||
\(457\) | −11.0341 | + | 19.1116i | −0.516152 | + | 0.894001i | 0.483673 | + | 0.875249i | \(0.339303\pi\) |
−0.999824 | + | 0.0187518i | \(0.994031\pi\) | |||||||
\(458\) | 7.33744 | − | 22.5823i | 0.342856 | − | 1.05520i | ||||
\(459\) | 22.9371 | + | 34.3578i | 1.07061 | + | 1.60369i | ||||
\(460\) | −6.38600 | + | 4.80114i | −0.297749 | + | 0.223854i | ||||
\(461\) | −20.8135 | + | 9.26675i | −0.969380 | + | 0.431596i | −0.829459 | − | 0.558567i | \(-0.811351\pi\) |
−0.139920 | + | 0.990163i | \(0.544685\pi\) | |||||||
\(462\) | −3.10482 | + | 6.73249i | −0.144449 | + | 0.313224i | ||||
\(463\) | −7.78195 | − | 3.46475i | −0.361658 | − | 0.161020i | 0.217860 | − | 0.975980i | \(-0.430092\pi\) |
−0.579518 | + | 0.814960i | \(0.696759\pi\) | |||||||
\(464\) | 2.60276 | − | 24.7636i | 0.120830 | − | 1.14962i | ||||
\(465\) | 16.0367 | − | 22.2182i | 0.743684 | − | 1.03035i | ||||
\(466\) | −4.94612 | − | 47.0592i | −0.229125 | − | 2.17997i | ||||
\(467\) | 0.960766 | − | 2.95693i | 0.0444590 | − | 0.136831i | −0.926363 | − | 0.376632i | \(-0.877082\pi\) |
0.970822 | + | 0.239801i | \(0.0770822\pi\) | |||||||
\(468\) | −6.77394 | − | 12.4840i | −0.313125 | − | 0.577075i | ||||
\(469\) | −4.84847 | + | 14.9221i | −0.223882 | + | 0.689037i | ||||
\(470\) | 1.63195 | + | 13.4138i | 0.0752763 | + | 0.618731i | ||||
\(471\) | −6.31656 | + | 27.8978i | −0.291052 | + | 1.28546i | ||||
\(472\) | 1.38683 | − | 1.54023i | 0.0638340 | − | 0.0708948i | ||||
\(473\) | 0.759866 | − | 7.22964i | 0.0349387 | − | 0.332419i | ||||
\(474\) | 20.5086 | + | 12.2051i | 0.941992 | + | 0.560598i | ||||
\(475\) | 16.9090 | − | 31.6324i | 0.775840 | − | 1.45139i | ||||
\(476\) | 37.2540 | 1.70753 | ||||||||
\(477\) | −5.49962 | + | 2.27629i | −0.251810 | + | 0.104224i | ||||
\(478\) | −15.8064 | − | 48.6470i | −0.722967 | − | 2.22506i | ||||
\(479\) | 17.1529 | + | 3.64596i | 0.783735 | + | 0.166588i | 0.582365 | − | 0.812927i | \(-0.302127\pi\) |
0.201370 | + | 0.979515i | \(0.435461\pi\) | |||||||
\(480\) | −27.9887 | − | 8.99753i | −1.27750 | − | 0.410679i | ||||
\(481\) | 4.56058 | − | 0.969381i | 0.207945 | − | 0.0442000i | ||||
\(482\) | 5.77710 | + | 10.0062i | 0.263140 | + | 0.455772i | ||||
\(483\) | −1.88224 | − | 9.46931i | −0.0856449 | − | 0.430869i | ||||
\(484\) | 1.87113 | + | 17.8026i | 0.0850513 | + | 0.809209i | ||||
\(485\) | 3.87792 | − | 12.6341i | 0.176087 | − | 0.573686i | ||||
\(486\) | −29.6804 | − | 5.12057i | −1.34633 | − | 0.232274i | ||||
\(487\) | 4.18121 | − | 3.03782i | 0.189469 | − | 0.137657i | −0.489007 | − | 0.872280i | \(-0.662641\pi\) |
0.678476 | + | 0.734623i | \(0.262641\pi\) | |||||||
\(488\) | −0.135244 | − | 1.28676i | −0.00612220 | − | 0.0582488i | ||||
\(489\) | −10.3720 | − | 1.22902i | −0.469039 | − | 0.0555784i | ||||
\(490\) | −0.880413 | + | 1.01054i | −0.0397730 | + | 0.0456516i | ||||
\(491\) | 15.4984 | + | 6.90033i | 0.699433 | + | 0.311408i | 0.725470 | − | 0.688253i | \(-0.241622\pi\) |
−0.0260375 | + | 0.999661i | \(0.508289\pi\) | |||||||
\(492\) | −5.12029 | − | 1.73887i | −0.230840 | − | 0.0783944i | ||||
\(493\) | 22.1803 | − | 38.4174i | 0.998950 | − | 1.73023i | ||||
\(494\) | −11.7004 | + | 36.0102i | −0.526427 | + | 1.62018i | ||||
\(495\) | 5.04371 | − | 2.18483i | 0.226698 | − | 0.0982008i | ||||
\(496\) | 9.75638 | + | 30.0271i | 0.438074 | + | 1.34825i | ||||
\(497\) | −28.6500 | − | 6.08974i | −1.28513 | − | 0.273162i | ||||
\(498\) | 3.53276 | + | 8.22576i | 0.158307 | + | 0.368605i | ||||
\(499\) | −4.22329 | − | 7.31496i | −0.189061 | − | 0.327463i | 0.755877 | − | 0.654714i | \(-0.227211\pi\) |
−0.944937 | + | 0.327251i | \(0.893878\pi\) | |||||||
\(500\) | −10.4994 | − | 16.2857i | −0.469548 | − | 0.728317i | ||||
\(501\) | −12.3511 | − | 7.35036i | −0.551805 | − | 0.328390i | ||||
\(502\) | −9.09600 | + | 4.04980i | −0.405974 | + | 0.180751i | ||||
\(503\) | −6.58427 | − | 20.2643i | −0.293578 | − | 0.903541i | −0.983695 | − | 0.179843i | \(-0.942441\pi\) |
0.690117 | − | 0.723698i | \(-0.257559\pi\) | |||||||
\(504\) | 2.87994 | − | 3.03319i | 0.128283 | − | 0.135109i | ||||
\(505\) | 15.6548 | + | 10.9874i | 0.696630 | + | 0.488934i | ||||
\(506\) | 2.18394 | + | 2.42551i | 0.0970879 | + | 0.107827i | ||||
\(507\) | −0.126832 | + | 9.59023i | −0.00563282 | + | 0.425917i | ||||
\(508\) | 7.32128 | − | 1.55619i | 0.324829 | − | 0.0690446i | ||||
\(509\) | 5.25717 | + | 2.34064i | 0.233020 | + | 0.103747i | 0.519925 | − | 0.854212i | \(-0.325960\pi\) |
−0.286905 | + | 0.957959i | \(0.592626\pi\) | |||||||
\(510\) | −44.3356 | − | 39.6699i | −1.96321 | − | 1.75661i | ||||
\(511\) | 37.1304 | − | 16.5315i | 1.64255 | − | 0.731311i | ||||
\(512\) | 23.6818 | − | 17.2059i | 1.04660 | − | 0.760399i | ||||
\(513\) | 20.6965 | + | 31.0016i | 0.913773 | + | 1.36875i | ||||
\(514\) | −7.33217 | − | 5.32714i | −0.323408 | − | 0.234970i | ||||
\(515\) | 1.64752 | + | 1.77066i | 0.0725982 | + | 0.0780248i | ||||
\(516\) | 11.1530 | − | 24.1841i | 0.490983 | − | 1.06465i | ||||
\(517\) | 2.50675 | − | 0.532827i | 0.110247 | − | 0.0234337i | ||||
\(518\) | −4.45802 | − | 7.72151i | −0.195874 | − | 0.339264i | ||||
\(519\) | 9.64849 | + | 3.27667i | 0.423522 | + | 0.143830i | ||||
\(520\) | −2.14565 | − | 2.30604i | −0.0940931 | − | 0.101126i | ||||
\(521\) | −1.60876 | − | 4.95126i | −0.0704811 | − | 0.216918i | 0.909611 | − | 0.415460i | \(-0.136379\pi\) |
−0.980092 | + | 0.198542i | \(0.936379\pi\) | |||||||
\(522\) | 9.17743 | + | 31.0131i | 0.401685 | + | 1.35741i | ||||
\(523\) | 31.9268 | + | 23.1962i | 1.39606 | + | 1.01430i | 0.995169 | + | 0.0981735i | \(0.0313000\pi\) |
0.400893 | + | 0.916125i | \(0.368700\pi\) | |||||||
\(524\) | 8.65960 | − | 14.9989i | 0.378296 | − | 0.655229i | ||||
\(525\) | 23.2348 | − | 2.90047i | 1.01405 | − | 0.126587i | ||||
\(526\) | 10.8109 | + | 18.7251i | 0.471379 | + | 0.816453i | ||||
\(527\) | −5.87948 | + | 55.9395i | −0.256114 | + | 2.43676i | ||||
\(528\) | −1.39857 | + | 6.17695i | −0.0608651 | + | 0.268817i | ||||
\(529\) | 18.3400 | + | 3.89829i | 0.797392 | + | 0.169491i | ||||
\(530\) | 6.85139 | − | 5.15103i | 0.297605 | − | 0.223746i | ||||
\(531\) | −4.02807 | + | 11.3652i | −0.174803 | + | 0.493207i | ||||
\(532\) | 33.6148 | 1.45739 | ||||||||
\(533\) | −3.29279 | − | 3.65702i | −0.142627 | − | 0.158403i | ||||
\(534\) | −19.5600 | − | 27.6847i | −0.846445 | − | 1.19803i | ||||
\(535\) | 2.21418 | − | 24.9900i | 0.0957274 | − | 1.08041i | ||||
\(536\) | −0.312790 | + | 2.97600i | −0.0135105 | + | 0.128544i | ||||
\(537\) | −6.73055 | + | 14.5945i | −0.290445 | + | 0.629800i | ||||
\(538\) | 0.884037 | + | 8.41105i | 0.0381135 | + | 0.362626i | ||||
\(539\) | 0.205644 | + | 0.149409i | 0.00885771 | + | 0.00643550i | ||||
\(540\) | 20.0703 | − | 1.63723i | 0.863688 | − | 0.0704550i | ||||
\(541\) | 3.83727 | − | 2.78794i | 0.164977 | − | 0.119863i | −0.502233 | − | 0.864732i | \(-0.667488\pi\) |
0.667211 | + | 0.744869i | \(0.267488\pi\) | |||||||
\(542\) | 11.3792 | + | 12.6379i | 0.488780 | + | 0.542845i | ||||
\(543\) | 8.34708 | − | 4.67312i | 0.358208 | − | 0.200543i | ||||
\(544\) | 59.0306 | − | 12.5473i | 2.53092 | − | 0.537963i | ||||
\(545\) | −7.83928 | − | 13.0795i | −0.335798 | − | 0.560264i | ||||
\(546\) | −23.6068 | + | 7.32663i | −1.01028 | + | 0.313551i | ||||
\(547\) | −35.7135 | − | 7.59114i | −1.52700 | − | 0.324574i | −0.633537 | − | 0.773713i | \(-0.718397\pi\) |
−0.893462 | + | 0.449139i | \(0.851731\pi\) | |||||||
\(548\) | −21.1537 | − | 15.3691i | −0.903641 | − | 0.656534i | ||||
\(549\) | 3.58996 | + | 6.61613i | 0.153216 | + | 0.282370i | ||||
\(550\) | −6.24846 | + | 4.85962i | −0.266435 | + | 0.207215i | ||||
\(551\) | 20.0136 | − | 34.6646i | 0.852608 | − | 1.47676i | ||||
\(552\) | −0.726622 | − | 1.69189i | −0.0309271 | − | 0.0720115i | ||||
\(553\) | 12.9019 | − | 14.3290i | 0.548643 | − | 0.609330i | ||||
\(554\) | 13.7119 | − | 15.2286i | 0.582561 | − | 0.647000i | ||||
\(555\) | −1.35414 | + | 6.47004i | −0.0574801 | + | 0.274638i | ||||
\(556\) | −21.6552 | − | 24.0506i | −0.918386 | − | 1.01997i | ||||
\(557\) | −17.5287 | −0.742714 | −0.371357 | − | 0.928490i | \(-0.621107\pi\) | ||||
−0.371357 | + | 0.928490i | \(0.621107\pi\) | |||||||
\(558\) | −26.6249 | − | 31.1908i | −1.12712 | − | 1.32041i | ||||
\(559\) | 19.6073 | − | 14.2455i | 0.829301 | − | 0.602522i | ||||
\(560\) | −13.1060 | + | 23.5823i | −0.553828 | + | 0.996533i | ||||
\(561\) | −6.75216 | + | 9.03971i | −0.285076 | + | 0.381657i | ||||
\(562\) | −51.6145 | − | 22.9803i | −2.17723 | − | 0.969364i | ||||
\(563\) | −4.44867 | − | 1.98067i | −0.187489 | − | 0.0834755i | 0.310845 | − | 0.950461i | \(-0.399388\pi\) |
−0.498334 | + | 0.866985i | \(0.666055\pi\) | |||||||
\(564\) | 9.32353 | + | 1.10478i | 0.392592 | + | 0.0465198i | ||||
\(565\) | −11.9208 | + | 21.4498i | −0.501512 | + | 0.902398i | ||||
\(566\) | 9.02086 | − | 6.55404i | 0.379175 | − | 0.275487i | ||||
\(567\) | −8.73262 | + | 22.7128i | −0.366736 | + | 0.953846i | ||||
\(568\) | −5.58619 | −0.234391 | ||||||||
\(569\) | −25.0518 | − | 27.8228i | −1.05023 | − | 1.16639i | −0.985706 | − | 0.168477i | \(-0.946115\pi\) |
−0.0645199 | − | 0.997916i | \(-0.520552\pi\) | |||||||
\(570\) | −40.0047 | − | 35.7948i | −1.67561 | − | 1.49928i | ||||
\(571\) | 0.660086 | − | 0.733100i | 0.0276237 | − | 0.0306793i | −0.729175 | − | 0.684328i | \(-0.760096\pi\) |
0.756798 | + | 0.653648i | \(0.226762\pi\) | |||||||
\(572\) | 2.59579 | − | 2.88292i | 0.108535 | − | 0.120541i | ||||
\(573\) | 6.69110 | − | 8.95796i | 0.279525 | − | 0.374224i | ||||
\(574\) | −4.70522 | + | 8.14967i | −0.196392 | + | 0.340161i | ||||
\(575\) | 2.86319 | − | 9.90244i | 0.119403 | − | 0.412960i | ||||
\(576\) | −9.00367 | + | 14.6838i | −0.375153 | + | 0.611825i | ||||
\(577\) | 5.32656 | + | 3.86997i | 0.221747 | + | 0.161109i | 0.693113 | − | 0.720829i | \(-0.256239\pi\) |
−0.471365 | + | 0.881938i | \(0.656239\pi\) | |||||||
\(578\) | 87.3256 | + | 18.5616i | 3.63227 | + | 0.772062i | ||||
\(579\) | −1.41522 | + | 6.25047i | −0.0588145 | + | 0.259761i | ||||
\(580\) | −11.1165 | − | 18.5474i | −0.461588 | − | 0.770138i | ||||
\(581\) | 7.07469 | − | 1.50377i | 0.293508 | − | 0.0623870i | ||||
\(582\) | −16.9970 | − | 10.1152i | −0.704547 | − | 0.419290i | ||||
\(583\) | −1.08779 | − | 1.20811i | −0.0450517 | − | 0.0500350i | ||||
\(584\) | 6.27124 | − | 4.55632i | 0.259506 | − | 0.188542i | ||||
\(585\) | 16.6649 | + | 7.62229i | 0.689007 | + | 0.315143i | ||||
\(586\) | 8.28013 | + | 6.01587i | 0.342049 | + | 0.248513i | ||||
\(587\) | 4.07528 | + | 38.7737i | 0.168205 | + | 1.60036i | 0.674682 | + | 0.738108i | \(0.264281\pi\) |
−0.506477 | + | 0.862253i | \(0.669053\pi\) | |||||||
\(588\) | 0.537355 | + | 0.760557i | 0.0221601 | + | 0.0313648i | ||||
\(589\) | −5.30514 | + | 50.4751i | −0.218595 | + | 2.07979i | ||||
\(590\) | 1.53257 | − | 17.2971i | 0.0630949 | − | 0.712110i | ||||
\(591\) | 15.8378 | − | 34.3427i | 0.651481 | − | 1.41267i | ||||
\(592\) | −5.09641 | − | 5.66013i | −0.209461 | − | 0.232630i | ||||
\(593\) | 40.1968 | 1.65068 | 0.825342 | − | 0.564633i | \(-0.190982\pi\) | ||||
0.825342 | + | 0.564633i | \(0.190982\pi\) | |||||||
\(594\) | −1.38985 | − | 8.10804i | −0.0570262 | − | 0.332677i | ||||
\(595\) | −38.4185 | + | 28.8839i | −1.57501 | + | 1.18412i | ||||
\(596\) | 14.1016 | + | 2.99740i | 0.577626 | + | 0.122778i | ||||
\(597\) | −20.7296 | − | 19.1674i | −0.848407 | − | 0.784471i | ||||
\(598\) | −1.13742 | + | 10.8219i | −0.0465127 | + | 0.442539i | ||||
\(599\) | −16.0097 | − | 27.7297i | −0.654140 | − | 1.13300i | −0.982109 | − | 0.188316i | \(-0.939697\pi\) |
0.327968 | − | 0.944689i | \(-0.393636\pi\) | |||||||
\(600\) | 4.21949 | − | 1.46242i | 0.172260 | − | 0.0597029i | ||||
\(601\) | −19.3911 | + | 33.5864i | −0.790981 | + | 1.37002i | 0.134379 | + | 0.990930i | \(0.457096\pi\) |
−0.925360 | + | 0.379089i | \(0.876237\pi\) | |||||||
\(602\) | −37.4951 | − | 27.2417i | −1.52818 | − | 1.11029i | ||||
\(603\) | −4.93999 | − | 16.6936i | −0.201172 | − | 0.679816i | ||||
\(604\) | 5.32891 | + | 16.4007i | 0.216830 | + | 0.667334i | ||||
\(605\) | −15.7324 | − | 16.9084i | −0.639613 | − | 0.687423i | ||||
\(606\) | 21.5232 | − | 18.8702i | 0.874321 | − | 0.766551i | ||||
\(607\) | −4.75715 | − | 8.23963i | −0.193087 | − | 0.334436i | 0.753185 | − | 0.657809i | \(-0.228517\pi\) |
−0.946272 | + | 0.323373i | \(0.895183\pi\) | |||||||
\(608\) | 53.2642 | − | 11.3217i | 2.16015 | − | 0.459154i | ||||
\(609\) | 26.0209 | − | 2.38746i | 1.05442 | − | 0.0967447i | ||||
\(610\) | −7.38430 | − | 7.93627i | −0.298982 | − | 0.321330i | ||||
\(611\) | 6.91231 | + | 5.02209i | 0.279642 | + | 0.203172i | ||||
\(612\) | −34.0724 | + | 23.4038i | −1.37729 | + | 0.946043i | ||||
\(613\) | −30.1095 | + | 21.8759i | −1.21611 | + | 0.883558i | −0.995771 | − | 0.0918649i | \(-0.970717\pi\) |
−0.220342 | + | 0.975423i | \(0.570717\pi\) | |||||||
\(614\) | −2.40881 | + | 1.07247i | −0.0972116 | + | 0.0432814i | ||||
\(615\) | 6.62853 | − | 2.17665i | 0.267288 | − | 0.0877712i | ||||
\(616\) | 1.04362 | + | 0.464651i | 0.0420488 | + | 0.0187213i | ||||
\(617\) | −1.01266 | + | 0.215248i | −0.0407683 | + | 0.00866558i | −0.228251 | − | 0.973602i | \(-0.573301\pi\) |
0.187482 | + | 0.982268i | \(0.439967\pi\) | |||||||
\(618\) | 3.15841 | − | 1.76824i | 0.127050 | − | 0.0711290i | ||||
\(619\) | 8.59371 | + | 9.54428i | 0.345410 | + | 0.383617i | 0.890670 | − | 0.454650i | \(-0.150236\pi\) |
−0.545260 | + | 0.838267i | \(0.683569\pi\) | |||||||
\(620\) | 22.4421 | + | 15.7511i | 0.901297 | + | 0.632581i | ||||
\(621\) | 7.67034 | + | 7.47814i | 0.307800 | + | 0.300087i | ||||
\(622\) | 5.85171 | + | 18.0097i | 0.234632 | + | 0.722124i | ||||
\(623\) | −25.0188 | + | 11.1391i | −1.00236 | + | 0.446278i | ||||
\(624\) | −18.4240 | + | 10.3147i | −0.737551 | + | 0.412918i | ||||
\(625\) | 23.4543 | + | 8.65431i | 0.938171 | + | 0.346172i | ||||
\(626\) | 24.4259 | + | 42.3070i | 0.976257 | + | 1.69093i | ||||
\(627\) | −6.09258 | + | 8.15666i | −0.243314 | + | 0.325746i | ||||
\(628\) | −27.9960 | − | 5.95074i | −1.11716 | − | 0.237460i | ||||
\(629\) | −4.19308 | − | 12.9050i | −0.167189 | − | 0.514555i | ||||
\(630\) | 4.01488 | − | 34.8127i | 0.159957 | − | 1.38697i | ||||
\(631\) | −1.15787 | + | 3.56357i | −0.0460943 | + | 0.141864i | −0.971455 | − | 0.237225i | \(-0.923762\pi\) |
0.925361 | + | 0.379088i | \(0.123762\pi\) | |||||||
\(632\) | 1.83869 | − | 3.18470i | 0.0731391 | − | 0.126681i | ||||
\(633\) | −4.04587 | + | 3.54717i | −0.160809 | + | 0.140987i | ||||
\(634\) | −28.8087 | − | 12.8265i | −1.14414 | − | 0.509404i | ||||
\(635\) | −6.34359 | + | 7.28119i | −0.251738 | + | 0.288945i | ||||
\(636\) | −2.35026 | − | 5.47240i | −0.0931937 | − | 0.216995i | ||||
\(637\) | 0.0885831 | + | 0.842812i | 0.00350979 | + | 0.0333934i | ||||
\(638\) | −7.14656 | + | 5.19228i | −0.282935 | + | 0.205564i | ||||
\(639\) | 30.0289 | − | 12.4289i | 1.18792 | − | 0.491680i | ||||
\(640\) | −2.68260 | + | 8.73981i | −0.106039 | + | 0.345471i | ||||
\(641\) | −0.782463 | − | 7.44463i | −0.0309054 | − | 0.294045i | −0.999047 | − | 0.0436428i | \(-0.986104\pi\) |
0.968142 | − | 0.250403i | \(-0.0805630\pi\) | |||||||
\(642\) | −35.5527 | − | 12.0739i | −1.40315 | − | 0.476517i | ||||
\(643\) | 19.9559 | + | 34.5645i | 0.786982 | + | 1.36309i | 0.927808 | + | 0.373058i | \(0.121691\pi\) |
−0.140826 | + | 0.990034i | \(0.544976\pi\) | |||||||
\(644\) | 9.44939 | − | 2.00853i | 0.372358 | − | 0.0791472i | ||||
\(645\) | 7.24892 | + | 33.5873i | 0.285426 | + | 1.32250i | ||||
\(646\) | 107.785 | + | 22.9104i | 4.24075 | + | 0.901399i | ||||
\(647\) | −1.26863 | − | 3.90445i | −0.0498751 | − | 0.153500i | 0.923017 | − | 0.384759i | \(-0.125715\pi\) |
−0.972892 | + | 0.231259i | \(0.925715\pi\) | |||||||
\(648\) | −0.728464 | + | 4.58339i | −0.0286168 | + | 0.180053i | ||||
\(649\) | −3.29335 | −0.129275 | ||||||||
\(650\) | −25.9796 | − | 4.64015i | −1.01900 | − | 0.182002i | ||||
\(651\) | −28.9099 | + | 16.1852i | −1.13307 | + | 0.634348i | ||||
\(652\) | 1.09243 | − | 10.3937i | 0.0427827 | − | 0.407051i | ||||
\(653\) | −3.68589 | + | 4.09359i | −0.144240 | + | 0.160195i | −0.810936 | − | 0.585135i | \(-0.801041\pi\) |
0.666696 | + | 0.745330i | \(0.267708\pi\) | |||||||
\(654\) | −21.7961 | + | 6.76466i | −0.852295 | + | 0.264519i | ||||
\(655\) | 2.69868 | + | 22.1817i | 0.105446 | + | 0.866712i | ||||
\(656\) | −2.48413 | + | 7.64535i | −0.0969888 | + | 0.298501i | ||||
\(657\) | −23.5739 | + | 38.4458i | −0.919704 | + | 1.49991i | ||||
\(658\) | 5.04898 | − | 15.5392i | 0.196830 | − | 0.605780i | ||||
\(659\) | −0.740780 | − | 7.04805i | −0.0288567 | − | 0.274553i | −0.999430 | − | 0.0337487i | \(-0.989255\pi\) |
0.970574 | − | 0.240804i | \(-0.0774112\pi\) | |||||||
\(660\) | 2.25272 | + | 5.01745i | 0.0876869 | + | 0.195304i | ||||
\(661\) | −3.60565 | + | 34.3055i | −0.140243 | + | 1.33433i | 0.667419 | + | 0.744682i | \(0.267399\pi\) |
−0.807662 | + | 0.589645i | \(0.799268\pi\) | |||||||
\(662\) | 4.78875 | + | 2.13209i | 0.186120 | + | 0.0828661i | ||||
\(663\) | −37.4598 | + | 3.43699i | −1.45482 | + | 0.133482i | ||||
\(664\) | 1.26017 | − | 0.561065i | 0.0489042 | − | 0.0217735i | ||||
\(665\) | −34.6656 | + | 26.0624i | −1.34427 | + | 1.01066i | ||||
\(666\) | 8.92812 | + | 4.26144i | 0.345958 | + | 0.165128i | ||||
\(667\) | 3.55473 | − | 10.9403i | 0.137640 | − | 0.423611i | ||||
\(668\) | 7.19080 | − | 12.4548i | 0.278220 | − | 0.481892i | ||||
\(669\) | −26.7447 | − | 9.08261i | −1.03401 | − | 0.351154i | ||||
\(670\) | 12.8889 | + | 21.5046i | 0.497943 | + | 0.830796i | ||||
\(671\) | −1.37568 | + | 1.52785i | −0.0531077 | + | 0.0589821i | ||||
\(672\) | 26.1006 | + | 24.1337i | 1.00685 | + | 0.930977i | ||||
\(673\) | −27.8887 | + | 12.4169i | −1.07503 | + | 0.478634i | −0.866395 | − | 0.499359i | \(-0.833569\pi\) |
−0.208635 | + | 0.977993i | \(0.566902\pi\) | |||||||
\(674\) | −66.6655 | −2.56786 | ||||||||
\(675\) | −19.4283 | + | 17.2494i | −0.747796 | + | 0.663929i | ||||
\(676\) | −9.59695 | −0.369114 | ||||||||
\(677\) | −8.96654 | + | 3.99216i | −0.344612 | + | 0.153431i | −0.571742 | − | 0.820433i | \(-0.693732\pi\) |
0.227130 | + | 0.973864i | \(0.427066\pi\) | |||||||
\(678\) | 26.9658 | + | 24.9337i | 1.03562 | + | 0.957572i | ||||
\(679\) | −10.6927 | + | 11.8754i | −0.410348 | + | 0.455738i | ||||
\(680\) | −6.02173 | + | 6.91177i | −0.230923 | + | 0.265054i | ||||
\(681\) | 10.9974 | + | 3.73477i | 0.421422 | + | 0.143117i | ||||
\(682\) | 5.60037 | − | 9.70012i | 0.214449 | − | 0.371437i | ||||
\(683\) | 9.67861 | − | 29.7877i | 0.370342 | − | 1.13979i | −0.576226 | − | 0.817290i | \(-0.695475\pi\) |
0.946568 | − | 0.322504i | \(-0.104525\pi\) | |||||||
\(684\) | −30.7440 | + | 21.1176i | −1.17553 | + | 0.807452i | ||||
\(685\) | 33.7309 | − | 0.551474i | 1.28879 | − | 0.0210707i | ||||
\(686\) | −31.9259 | + | 14.2143i | −1.21894 | + | 0.542705i | ||||
\(687\) | 21.1966 | − | 1.94482i | 0.808702 | − | 0.0741996i | ||||
\(688\) | −36.1683 | − | 16.1032i | −1.37890 | − | 0.613927i | ||||
\(689\) | 0.566536 | − | 5.39023i | 0.0215833 | − | 0.205351i | ||||
\(690\) | −13.3844 | − | 7.67185i | −0.509536 | − | 0.292062i | ||||
\(691\) | −2.65596 | − | 25.2698i | −0.101037 | − | 0.961307i | −0.921177 | − | 0.389144i | \(-0.872771\pi\) |
0.820140 | − | 0.572164i | \(-0.193896\pi\) | |||||||
\(692\) | −3.15072 | + | 9.69692i | −0.119772 | + | 0.368622i | ||||
\(693\) | −6.64387 | − | 0.175763i | −0.252380 | − | 0.00667670i | ||||
\(694\) | −13.5746 | + | 41.7784i | −0.515286 | + | 1.58589i | ||||
\(695\) | 40.9791 | + | 8.01256i | 1.55443 | + | 0.303934i | ||||
\(696\) | 4.75959 | − | 1.47719i | 0.180412 | − | 0.0559928i | ||||
\(697\) | −9.58296 | + | 10.6430i | −0.362981 | + | 0.403131i | ||||
\(698\) | 6.78296 | − | 64.5356i | 0.256739 | − | 2.44271i | ||||
\(699\) | 37.0127 | − | 20.7216i | 1.39995 | − | 0.783763i | ||||
\(700\) | 3.20944 | + | 23.2086i | 0.121306 | + | 0.877203i | ||||
\(701\) | −6.16132 | −0.232710 | −0.116355 | − | 0.993208i | \(-0.537121\pi\) | ||||
−0.116355 | + | 0.993208i | \(0.537121\pi\) | |||||||
\(702\) | 16.9880 | − | 21.5313i | 0.641169 | − | 0.812645i | ||||
\(703\) | −3.78348 | − | 11.6444i | −0.142697 | − | 0.439175i | ||||
\(704\) | −4.60165 | − | 0.978112i | −0.173431 | − | 0.0368640i | ||||
\(705\) | −10.4715 | + | 6.08944i | −0.394381 | + | 0.229342i | ||||
\(706\) | −13.7246 | + | 2.91726i | −0.516534 | + | 0.109793i | ||||
\(707\) | −11.5630 | − | 20.0277i | −0.434871 | − | 0.753218i | ||||
\(708\) | −11.4245 | − | 3.87980i | −0.429358 | − | 0.145812i | ||||
\(709\) | 1.87963 | + | 17.8835i | 0.0705912 | + | 0.671630i | 0.971406 | + | 0.237426i | \(0.0763037\pi\) |
−0.900814 | + | 0.434204i | \(0.857030\pi\) | |||||||
\(710\) | −37.4098 | + | 28.1255i | −1.40396 | + | 1.05553i | ||||
\(711\) | −2.79822 | + | 21.2105i | −0.104941 | + | 0.795456i | ||||
\(712\) | −4.22562 | + | 3.07009i | −0.158362 | + | 0.115056i | ||||
\(713\) | 1.52463 | + | 14.5059i | 0.0570980 | + | 0.543251i | ||||
\(714\) | 28.3871 | + | 66.0973i | 1.06236 | + | 2.47363i | ||||
\(715\) | −0.441739 | + | 4.98562i | −0.0165201 | + | 0.186451i | ||||
\(716\) | −14.6913 | − | 6.54097i | −0.549038 | − | 0.244448i | ||||
\(717\) | 34.4788 | − | 30.2289i | 1.28763 | − | 1.12892i | ||||
\(718\) | −33.6152 | + | 58.2232i | −1.25451 | + | 2.17287i | ||||
\(719\) | −3.67562 | + | 11.3124i | −0.137078 | + | 0.421881i | −0.995907 | − | 0.0903796i | \(-0.971192\pi\) |
0.858830 | + | 0.512261i | \(0.171192\pi\) | |||||||
\(720\) | −2.82825 | − | 29.8018i | −0.105403 | − | 1.11065i | ||||
\(721\) | −0.903700 | − | 2.78130i | −0.0336555 | − | 0.103581i | ||||
\(722\) | 61.3480 | + | 13.0399i | 2.28313 | + | 0.485295i | ||||
\(723\) | −6.19841 | + | 8.29835i | −0.230521 | + | 0.308619i | ||||
\(724\) | 4.78603 | + | 8.28964i | 0.177871 | + | 0.308082i | ||||
\(725\) | 25.8442 | + | 10.5083i | 0.959830 | + | 0.390267i | ||||
\(726\) | −30.1602 | + | 16.8852i | −1.11935 | + | 0.626669i | ||||
\(727\) | 40.7090 | − | 18.1248i | 1.50981 | − | 0.672212i | 0.525848 | − | 0.850578i | \(-0.323748\pi\) |
0.983964 | + | 0.178366i | \(0.0570813\pi\) | |||||||
\(728\) | 1.17694 | + | 3.62225i | 0.0436203 | + | 0.134249i | ||||
\(729\) | −6.28185 | − | 26.2591i | −0.232661 | − | 0.972558i | ||||
\(730\) | 19.0571 | − | 62.0874i | 0.705335 | − | 2.29796i | ||||
\(731\) | −47.1962 | − | 52.4166i | −1.74561 | − | 1.93870i | ||||
\(732\) | −6.57211 | + | 3.67940i | −0.242912 | + | 0.135995i | ||||
\(733\) | 30.5184 | − | 6.48688i | 1.12722 | − | 0.239598i | 0.393683 | − | 0.919246i | \(-0.371201\pi\) |
0.733539 | + | 0.679648i | \(0.237867\pi\) | |||||||
\(734\) | −2.52871 | − | 1.12585i | −0.0933363 | − | 0.0415560i | ||||
\(735\) | −1.14383 | − | 0.367707i | −0.0421908 | − | 0.0135631i | ||||
\(736\) | 14.2965 | − | 6.36521i | 0.526976 | − | 0.234625i | ||||
\(737\) | 3.84682 | − | 2.79488i | 0.141699 | − | 0.102951i | ||||
\(738\) | −0.816437 | − | 10.4096i | −0.0300535 | − | 0.383183i | ||||
\(739\) | −18.8750 | − | 13.7135i | −0.694328 | − | 0.504459i | 0.183752 | − | 0.982973i | \(-0.441176\pi\) |
−0.878080 | + | 0.478514i | \(0.841176\pi\) | |||||||
\(740\) | −6.49136 | − | 1.26924i | −0.238627 | − | 0.0466583i | ||||
\(741\) | −33.8005 | + | 3.10125i | −1.24169 | + | 0.113927i | ||||
\(742\) | −10.1380 | + | 2.15490i | −0.372178 | + | 0.0791090i | ||||
\(743\) | −27.0017 | − | 46.7683i | −0.990597 | − | 1.71576i | −0.613783 | − | 0.789475i | \(-0.710353\pi\) |
−0.376814 | − | 0.926289i | \(-0.622980\pi\) | |||||||
\(744\) | −4.75141 | + | 4.16575i | −0.174195 | + | 0.152724i | ||||
\(745\) | −16.8664 | + | 7.84224i | −0.617937 | + | 0.287318i | ||||
\(746\) | −18.3921 | − | 56.6052i | −0.673384 | − | 2.07246i | ||||
\(747\) | −5.52579 | + | 5.81983i | −0.202178 | + | 0.212937i | ||||
\(748\) | −9.13381 | − | 6.63610i | −0.333965 | − | 0.242640i | ||||
\(749\) | −15.1675 | + | 26.2709i | −0.554208 | + | 0.959917i | ||||
\(750\) | 20.8942 | − | 31.0379i | 0.762947 | − | 1.13334i | ||||
\(751\) | −9.85880 | − | 17.0759i | −0.359753 | − | 0.623110i | 0.628167 | − | 0.778079i | \(-0.283806\pi\) |
−0.987919 | + | 0.154969i | \(0.950472\pi\) | |||||||
\(752\) | 1.45894 | − | 13.8809i | 0.0532021 | − | 0.506184i | ||||
\(753\) | −6.55357 | − | 6.05969i | −0.238825 | − | 0.220828i | ||||
\(754\) | −28.8072 | − | 6.12317i | −1.04910 | − | 0.222993i | ||||
\(755\) | −18.2113 | − | 12.7817i | −0.662778 | − | 0.465175i | ||||
\(756\) | −22.8403 | − | 8.43668i | −0.830692 | − | 0.306839i | ||||
\(757\) | 15.3080 | 0.556380 | 0.278190 | − | 0.960526i | \(-0.410265\pi\) | ||||
0.278190 | + | 0.960526i | \(0.410265\pi\) | |||||||
\(758\) | −32.9564 | − | 36.6018i | −1.19703 | − | 1.32944i | ||||
\(759\) | −1.22530 | + | 2.65694i | −0.0444756 | + | 0.0964409i | ||||
\(760\) | −5.43350 | + | 6.23659i | −0.197094 | + | 0.226225i | ||||
\(761\) | 0.560352 | − | 5.33140i | 0.0203128 | − | 0.193263i | −0.979660 | − | 0.200665i | \(-0.935690\pi\) |
0.999973 | + | 0.00740241i | \(0.00235628\pi\) | |||||||
\(762\) | 8.33977 | + | 11.8039i | 0.302118 | + | 0.427609i | ||||
\(763\) | 1.92731 | + | 18.3371i | 0.0697733 | + | 0.663849i | ||||
\(764\) | 9.05121 | + | 6.57609i | 0.327461 | + | 0.237915i | ||||
\(765\) | 16.9919 | − | 50.5525i | 0.614345 | − | 1.82773i | ||||
\(766\) | −4.28997 | + | 3.11685i | −0.155003 | + | 0.112616i | ||||
\(767\) | −7.34694 | − | 8.15960i | −0.265282 | − | 0.294626i | ||||
\(768\) | 28.8492 | + | 17.1687i | 1.04101 | + | 0.619523i | ||||
\(769\) | 27.7808 | − | 5.90499i | 1.00180 | − | 0.212939i | 0.322319 | − | 0.946631i | \(-0.395538\pi\) |
0.679482 | + | 0.733692i | \(0.262204\pi\) | |||||||
\(770\) | 9.32840 | − | 2.14277i | 0.336172 | − | 0.0772201i | ||||
\(771\) | 1.79414 | − | 7.92399i | 0.0646142 | − | 0.285376i | ||||
\(772\) | −6.27248 | − | 1.33326i | −0.225752 | − | 0.0479850i | ||||
\(773\) | 29.0303 | + | 21.0917i | 1.04415 | + | 0.758617i | 0.971091 | − | 0.238711i | \(-0.0767248\pi\) |
0.0730562 | + | 0.997328i | \(0.476725\pi\) | |||||||
\(774\) | 51.4068 | + | 1.35996i | 1.84778 | + | 0.0488829i | ||||
\(775\) | −35.3559 | + | 1.15639i | −1.27002 | + | 0.0415388i | ||||
\(776\) | −1.52385 | + | 2.63939i | −0.0547031 | + | 0.0947486i | ||||
\(777\) | 4.78312 | − | 6.40358i | 0.171594 | − | 0.229727i | ||||
\(778\) | −33.7824 | + | 37.5192i | −1.21116 | + | 1.34513i | ||||
\(779\) | −8.64685 | + | 9.60330i | −0.309806 | + | 0.344074i | ||||
\(780\) | −7.40579 | + | 16.7745i | −0.265170 | + | 0.600623i | ||||
\(781\) | 5.93953 | + | 6.59652i | 0.212533 | + | 0.236042i | ||||
\(782\) | 31.6682 | 1.13245 | ||||||||
\(783\) | −22.2988 | + | 18.5305i | −0.796894 | + | 0.662226i | ||||
\(784\) | 1.11998 | − | 0.813715i | 0.0399994 | − | 0.0290613i | ||||
\(785\) | 33.4849 | − | 15.5692i | 1.19513 | − | 0.555689i | ||||
\(786\) | 33.2100 | + | 3.93519i | 1.18456 | + | 0.140364i | ||||
\(787\) | −2.73474 | − | 1.21759i | −0.0974830 | − | 0.0434022i | 0.357416 | − | 0.933945i | \(-0.383658\pi\) |
−0.454899 | + | 0.890543i | \(0.650325\pi\) | |||||||
\(788\) | 34.5704 | + | 15.3917i | 1.23152 | + | 0.548307i | ||||
\(789\) | −11.5993 | + | 15.5291i | −0.412948 | + | 0.552849i | ||||
\(790\) | −3.72103 | − | 30.5849i | −0.132388 | − | 1.08816i | ||||
\(791\) | 24.0053 | − | 17.4409i | 0.853531 | − | 0.620126i | ||||
\(792\) | −1.24640 | + | 0.230660i | −0.0442889 | + | 0.00819615i | ||||
\(793\) | −6.85435 | −0.243405 | ||||||||
\(794\) | −0.675470 | − | 0.750185i | −0.0239715 | − | 0.0266231i | ||||
\(795\) | 6.66660 | + | 3.82125i | 0.236440 | + | 0.135526i | ||||
\(796\) | 18.9032 | − | 20.9942i | 0.670007 | − | 0.744118i | ||||
\(797\) | 32.2463 | − | 35.8132i | 1.14222 | − | 1.26857i | 0.183879 | − | 0.982949i | \(-0.441134\pi\) |
0.958344 | − | 0.285618i | \(-0.0921989\pi\) | |||||||
\(798\) | 25.6141 | + | 59.6406i | 0.906730 | + | 2.11125i | ||||
\(799\) | 12.4329 | − | 21.5343i | 0.439843 | − | 0.761830i | ||||
\(800\) | 12.9023 | + | 35.6941i | 0.456165 | + | 1.26198i | ||||
\(801\) | 15.8843 | − | 25.9052i | 0.561243 | − | 0.915313i | ||||
\(802\) | −21.4636 | − | 15.5942i | −0.757905 | − | 0.550650i | ||||
\(803\) | −12.0483 | − | 2.56094i | −0.425175 | − | 0.0903736i | ||||
\(804\) | 16.6370 | − | 5.16348i | 0.586742 | − | 0.182102i | ||||
\(805\) | −8.18751 | + | 9.39765i | −0.288572 | + | 0.331224i | ||||
\(806\) | 36.5266 | − | 7.76396i | 1.28659 | − | 0.273474i | ||||
\(807\) | −6.61541 | + | 3.70364i | −0.232874 | + | 0.130374i | ||||
\(808\) | −2.95126 | − | 3.27770i | −0.103825 | − | 0.115309i | ||||
\(809\) | −10.6882 | + | 7.76542i | −0.375776 | + | 0.273018i | −0.759602 | − | 0.650388i | \(-0.774606\pi\) |
0.383826 | + | 0.923406i | \(0.374606\pi\) | |||||||
\(810\) | 18.1982 | + | 34.3619i | 0.639418 | + | 1.20735i | ||||
\(811\) | −19.9495 | − | 14.4942i | −0.700522 | − | 0.508959i | 0.179581 | − | 0.983743i | \(-0.442526\pi\) |
−0.880102 | + | 0.474785i | \(0.842526\pi\) | |||||||
\(812\) | 2.73303 | + | 26.0030i | 0.0959104 | + | 0.912526i | ||||
\(813\) | −6.38433 | + | 13.8438i | −0.223908 | + | 0.485523i | ||||
\(814\) | −0.282441 | + | 2.68725i | −0.00989955 | + | 0.0941880i | ||||
\(815\) | 6.93194 | + | 11.5656i | 0.242815 | + | 0.405127i | ||||
\(816\) | 35.4590 | + | 50.1876i | 1.24131 | + | 1.75692i | ||||
\(817\) | −42.5858 | − | 47.2963i | −1.48989 | − | 1.65469i | ||||
\(818\) | 39.4040 | 1.37773 | ||||||||
\(819\) | −14.3860 | − | 16.8530i | −0.502686 | − | 0.588891i | ||||
\(820\) | 2.26551 | + | 6.60322i | 0.0791150 | + | 0.230594i | ||||
\(821\) | 37.2526 | + | 7.91828i | 1.30012 | + | 0.276350i | 0.805416 | − | 0.592709i | \(-0.201942\pi\) |
0.494708 | + | 0.869059i | \(0.335275\pi\) | |||||||
\(822\) | 11.1494 | − | 49.2427i | 0.388881 | − | 1.71754i | ||||
\(823\) | 1.35340 | − | 12.8767i | 0.0471765 | − | 0.448854i | −0.945280 | − | 0.326259i | \(-0.894212\pi\) |
0.992457 | − | 0.122595i | \(-0.0391216\pi\) | |||||||
\(824\) | −0.278874 | − | 0.483024i | −0.00971504 | − | 0.0168269i | ||||
\(825\) | −6.21329 | − | 3.42771i | −0.216319 | − | 0.119338i | ||||
\(826\) | −10.4984 | + | 18.1837i | −0.365285 | + | 0.632691i | ||||
\(827\) | 12.8319 | + | 9.32289i | 0.446207 | + | 0.324189i | 0.788097 | − | 0.615552i | \(-0.211067\pi\) |
−0.341889 | + | 0.939740i | \(0.611067\pi\) | |||||||
\(828\) | −7.38058 | + | 7.77332i | −0.256493 | + | 0.270142i | ||||
\(829\) | 11.3136 | + | 34.8198i | 0.392939 | + | 1.20934i | 0.930555 | + | 0.366151i | \(0.119325\pi\) |
−0.537617 | + | 0.843189i | \(0.680675\pi\) | |||||||
\(830\) | 5.61429 | − | 10.1021i | 0.194875 | − | 0.350649i | ||||
\(831\) | 17.3944 | + | 5.90720i | 0.603404 | + | 0.204918i | ||||
\(832\) | −7.84219 | − | 13.5831i | −0.271879 | − | 0.470909i | ||||
\(833\) | 2.41244 | − | 0.512779i | 0.0835860 | − | 0.0177667i | ||||
\(834\) | 26.1703 | − | 56.7477i | 0.906203 | − | 1.96501i | ||||
\(835\) | 2.24095 | + | 18.4194i | 0.0775511 | + | 0.637428i | ||||
\(836\) | −8.24157 | − | 5.98785i | −0.285041 | − | 0.207094i | ||||
\(837\) | 16.2730 | − | 32.9648i | 0.562476 | − | 1.13943i | ||||
\(838\) | 50.2630 | − | 36.5182i | 1.73631 | − | 1.26150i | ||||
\(839\) | −44.1950 | + | 19.6769i | −1.52578 | + | 0.679322i | −0.986643 | − | 0.162895i | \(-0.947917\pi\) |
−0.539139 | + | 0.842217i | \(0.681250\pi\) | |||||||
\(840\) | −5.37189 | − | 0.547650i | −0.185348 | − | 0.0188957i | ||||
\(841\) | 1.94941 | + | 0.867935i | 0.0672211 | + | 0.0299288i | ||||
\(842\) | −14.1505 | + | 3.00779i | −0.487660 | + | 0.103655i | ||||
\(843\) | 0.669776 | − | 50.6441i | 0.0230683 | − | 1.74428i | ||||
\(844\) | −3.60257 | − | 4.00106i | −0.124006 | − | 0.137722i | ||||
\(845\) | 9.89695 | − | 7.44074i | 0.340465 | − | 0.255969i | ||||
\(846\) | 5.14428 | + | 17.3840i | 0.176864 | + | 0.597673i | ||||
\(847\) | 8.62958 | + | 26.5591i | 0.296516 | + | 0.912582i | ||||
\(848\) | −8.08836 | + | 3.60117i | −0.277756 | + | 0.123665i | ||||
\(849\) | 8.58973 | + | 5.11191i | 0.294799 | + | 0.175440i | ||||
\(850\) | −5.52700 | + | 76.6052i | −0.189574 | + | 2.62754i | ||||
\(851\) | −1.75933 | − | 3.04725i | −0.0603091 | − | 0.104458i | ||||
\(852\) | 12.8328 | + | 29.8802i | 0.439645 | + | 1.02368i | ||||
\(853\) | 28.6661 | + | 6.09317i | 0.981510 | + | 0.208626i | 0.670605 | − | 0.741815i | \(-0.266035\pi\) |
0.310905 | + | 0.950441i | \(0.399368\pi\) | |||||||
\(854\) | 4.05046 | + | 12.4660i | 0.138604 | + | 0.426579i | ||||
\(855\) | 15.3321 | − | 45.6143i | 0.524346 | − | 1.55998i | ||||
\(856\) | −1.78782 | + | 5.50233i | −0.0611063 | + | 0.188066i | ||||
\(857\) | −2.37131 | + | 4.10724i | −0.0810025 | + | 0.140300i | −0.903681 | − | 0.428207i | \(-0.859146\pi\) |
0.822678 | + | 0.568507i | \(0.192479\pi\) | |||||||
\(858\) | 7.09294 | + | 2.40879i | 0.242149 | + | 0.0822348i | ||||
\(859\) | 25.3873 | + | 11.3031i | 0.866202 | + | 0.385658i | 0.791224 | − | 0.611527i | \(-0.209444\pi\) |
0.0749788 | + | 0.997185i | \(0.476111\pi\) | |||||||
\(860\) | −33.5090 | + | 7.69716i | −1.14265 | + | 0.262471i | ||||
\(861\) | −8.37735 | − | 0.992667i | −0.285499 | − | 0.0338300i | ||||
\(862\) | −7.03977 | − | 66.9789i | −0.239775 | − | 2.28131i | ||||
\(863\) | −14.3996 | + | 10.4619i | −0.490167 | + | 0.356127i | −0.805249 | − | 0.592937i | \(-0.797968\pi\) |
0.315081 | + | 0.949065i | \(0.397968\pi\) | |||||||
\(864\) | −39.0329 | − | 5.67558i | −1.32793 | − | 0.193087i | ||||
\(865\) | −4.26904 | − | 12.4429i | −0.145152 | − | 0.423070i | ||||
\(866\) | −0.294589 | − | 2.80283i | −0.0100105 | − | 0.0952440i | ||||
\(867\) | 15.6029 | + | 78.4960i | 0.529901 | + | 2.66586i | ||||
\(868\) | −16.5762 | − | 28.7109i | −0.562635 | − | 0.974512i | ||||
\(869\) | −5.71568 | + | 1.21490i | −0.193891 | + | 0.0412128i | ||||
\(870\) | 24.4368 | − | 33.8562i | 0.828484 | − | 1.14783i | ||||
\(871\) | 15.5062 | + | 3.29595i | 0.525409 | + | 0.111679i | ||||
\(872\) | 1.08667 | + | 3.34441i | 0.0367992 | + | 0.113256i | ||||
\(873\) | 2.31908 | − | 17.5787i | 0.0784890 | − | 0.594947i | ||||
\(874\) | 28.5747 | 0.966553 | ||||||||
\(875\) | −21.3039 | − | 21.4457i | −0.720205 | − | 0.724998i | ||||
\(876\) | −38.7780 | − | 23.0775i | −1.31019 | − | 0.779718i | ||||
\(877\) | 5.05264 | − | 48.0727i | 0.170616 | − | 1.62330i | −0.489409 | − | 0.872054i | \(-0.662787\pi\) |
0.660024 | − | 0.751244i | \(-0.270546\pi\) | |||||||
\(878\) | −22.9758 | + | 25.5172i | −0.775396 | + | 0.861165i | ||||
\(879\) | −2.02609 | + | 8.94846i | −0.0683385 | + | 0.301824i | ||||
\(880\) | 7.41402 | − | 3.44724i | 0.249927 | − | 0.116206i | ||||
\(881\) | −5.26492 | + | 16.2037i | −0.177380 | + | 0.545918i | −0.999734 | − | 0.0230573i | \(-0.992660\pi\) |
0.822355 | + | 0.568975i | \(0.192660\pi\) | |||||||
\(882\) | −0.939947 | + | 1.53293i | −0.0316497 | + | 0.0516164i | ||||
\(883\) | 7.62570 | − | 23.4695i | 0.256625 | − | 0.789811i | −0.736880 | − | 0.676024i | \(-0.763702\pi\) |
0.993505 | − | 0.113788i | \(-0.0362984\pi\) | |||||||
\(884\) | −3.93448 | − | 37.4340i | −0.132331 | − | 1.25904i | ||||
\(885\) | 14.7897 | − | 4.85659i | 0.497150 | − | 0.163252i | ||||
\(886\) | 3.81894 | − | 36.3347i | 0.128300 | − | 1.22069i | ||||
\(887\) | 11.6952 | + | 5.20706i | 0.392688 | + | 0.174836i | 0.593575 | − | 0.804778i | \(-0.297716\pi\) |
−0.200887 | + | 0.979614i | \(0.564383\pi\) | |||||||
\(888\) | 0.638382 | − | 1.38427i | 0.0214227 | − | 0.0464530i | ||||
\(889\) | 10.6672 | − | 4.74935i | 0.357767 | − | 0.159288i | ||||
\(890\) | −12.8409 | + | 41.8351i | −0.430426 | + | 1.40231i | ||||
\(891\) | 6.18689 | − | 4.01308i | 0.207269 | − | 0.134443i | ||||
\(892\) | 8.73350 | − | 26.8789i | 0.292419 | − | 0.899973i | ||||
\(893\) | 11.2184 | − | 19.4308i | 0.375408 | − | 0.650226i | ||||
\(894\) | 5.42721 | + | 27.3036i | 0.181513 | + | 0.913169i | ||||
\(895\) | 20.2219 | − | 4.64505i | 0.675943 | − | 0.155267i | ||||
\(896\) | 7.39680 | − | 8.21498i | 0.247110 | − | 0.274443i | ||||
\(897\) | −9.31629 | + | 2.89141i | −0.311062 | + | 0.0965415i | ||||
\(898\) | −27.9348 | + | 12.4374i | −0.932196 | + | 0.415040i | ||||
\(899\) | −39.4767 | −1.31662 | ||||||||
\(900\) | −17.5155 | − | 19.2103i | −0.583851 | − | 0.640343i | ||||
\(901\) | −15.7735 | −0.525492 | ||||||||
\(902\) | 2.60532 | − | 1.15996i | 0.0867477 | − | 0.0386226i | ||||
\(903\) | 9.17480 | − | 40.5215i | 0.305318 | − | 1.34847i | ||||
\(904\) | 3.78667 | − | 4.20552i | 0.125943 | − | 0.139874i | ||||
\(905\) | −11.3628 | − | 4.83805i | −0.377712 | − | 0.160822i | ||||
\(906\) | −25.0381 | + | 21.9519i | −0.831835 | + | 0.729302i | ||||
\(907\) | −7.73118 | + | 13.3908i | −0.256710 | + | 0.444634i | −0.965358 | − | 0.260927i | \(-0.915972\pi\) |
0.708649 | + | 0.705561i | \(0.249305\pi\) | |||||||
\(908\) | −3.59121 | + | 11.0526i | −0.119179 | + | 0.366794i | ||||
\(909\) | 23.1573 | + | 11.0531i | 0.768080 | + | 0.366609i | ||||
\(910\) | 26.1191 | + | 18.3319i | 0.865841 | + | 0.607696i | ||||
\(911\) | 16.7164 | − | 7.44262i | 0.553839 | − | 0.246585i | −0.110680 | − | 0.993856i | \(-0.535303\pi\) |
0.664519 | + | 0.747271i | \(0.268636\pi\) | |||||||
\(912\) | 31.9951 | + | 45.2850i | 1.05947 | + | 1.49954i | ||||
\(913\) | −2.00242 | − | 0.891535i | −0.0662704 | − | 0.0295055i | ||||
\(914\) | 4.45693 | − | 42.4048i | 0.147422 | − | 1.40263i | ||||
\(915\) | 3.92483 | − | 8.88993i | 0.129751 | − | 0.293892i | ||||
\(916\) | 2.22632 | + | 21.1820i | 0.0735598 | + | 0.699874i | ||||
\(917\) | 8.34927 | − | 25.6964i | 0.275717 | − | 0.848570i | ||||
\(918\) | −67.4866 | − | 42.6190i | −2.22739 | − | 1.40664i | ||||
\(919\) | 1.81787 | − | 5.59482i | 0.0599659 | − | 0.184556i | −0.916586 | − | 0.399837i | \(-0.869067\pi\) |
0.976552 | + | 0.215281i | \(0.0690667\pi\) | |||||||
\(920\) | −1.15476 | + | 2.07781i | −0.0380712 | + | 0.0685035i | ||||
\(921\) | −1.73552 | − | 1.60473i | −0.0571874 | − | 0.0528777i | ||||
\(922\) | 29.4551 | − | 32.7132i | 0.970052 | − | 1.07735i | ||||
\(923\) | −3.09338 | + | 29.4316i | −0.101820 | + | 0.968752i | ||||
\(924\) | 0.0879433 | − | 6.64970i | 0.00289312 | − | 0.218759i | ||||
\(925\) | 7.67835 | − | 3.72399i | 0.252463 | − | 0.122444i | ||||
\(926\) | 16.4586 | 0.540864 | ||||||||
\(927\) | 2.57380 | + | 1.97605i | 0.0845347 | + | 0.0649019i | ||||
\(928\) | 13.0885 | + | 40.2824i | 0.429653 | + | 1.32234i | ||||
\(929\) | 1.18051 | + | 0.250926i | 0.0387314 | + | 0.00823262i | 0.227237 | − | 0.973840i | \(-0.427031\pi\) |
−0.188505 | + | 0.982072i | \(0.560364\pi\) | |||||||
\(930\) | −10.8456 | + | 51.8198i | −0.355641 | + | 1.69924i | ||||
\(931\) | 2.17678 | − | 0.462688i | 0.0713410 | − | 0.0151640i | ||||
\(932\) | 21.2223 | + | 36.7580i | 0.695158 | + | 1.20405i | ||||
\(933\) | −12.7644 | + | 11.1911i | −0.417889 | + | 0.366380i | ||||
\(934\) | 0.627922 | + | 5.97428i | 0.0205462 | + | 0.195484i | ||||
\(935\) | 14.5645 | − | 0.238117i | 0.476308 | − | 0.00778727i | ||||
\(936\) | −3.35201 | − | 2.57352i | −0.109564 | − | 0.0841181i | ||||
\(937\) | 35.0428 | − | 25.4601i | 1.14480 | − | 0.831745i | 0.157018 | − | 0.987596i | \(-0.449812\pi\) |
0.987781 | + | 0.155851i | \(0.0498120\pi\) | |||||||
\(938\) | −3.16878 | − | 30.1490i | −0.103464 | − | 0.984399i | ||||
\(939\) | −26.2072 | + | 35.0859i | −0.855241 | + | 1.14499i | ||||
\(940\) | −6.23120 | − | 10.3965i | −0.203239 | − | 0.339096i | ||||
\(941\) | 17.6872 | + | 7.87485i | 0.576586 | + | 0.256713i | 0.674246 | − | 0.738507i | \(-0.264469\pi\) |
−0.0976595 | + | 0.995220i | \(0.531136\pi\) | |||||||
\(942\) | −10.7746 | − | 54.2059i | −0.351057 | − | 1.76612i | ||||
\(943\) | −1.85689 | + | 3.21622i | −0.0604686 | + | 0.104735i | ||||
\(944\) | −5.54262 | + | 17.0584i | −0.180397 | + | 0.555205i | ||||
\(945\) | 30.0954 | − | 9.00819i | 0.979003 | − | 0.293036i | ||||
\(946\) | 4.34031 | + | 13.3581i | 0.141115 | + | 0.434309i | ||||
\(947\) | 25.9173 | + | 5.50890i | 0.842200 | + | 0.179015i | 0.608758 | − | 0.793356i | \(-0.291668\pi\) |
0.233442 | + | 0.972371i | \(0.425001\pi\) | |||||||
\(948\) | −21.2587 | − | 2.51903i | −0.690450 | − | 0.0818142i | ||||
\(949\) | −20.5328 | − | 35.5639i | −0.666524 | − | 1.15445i | ||||
\(950\) | −4.98709 | + | 69.1221i | −0.161803 | + | 2.24262i | ||||
\(951\) | 0.373836 | − | 28.2670i | 0.0121225 | − | 0.916622i | ||||
\(952\) | 10.1260 | − | 4.50838i | 0.328185 | − | 0.146117i | ||||
\(953\) | 7.07575 | + | 21.7769i | 0.229206 | + | 0.705424i | 0.997837 | + | 0.0657319i | \(0.0209382\pi\) |
−0.768631 | + | 0.639692i | \(0.779062\pi\) | |||||||
\(954\) | 7.91845 | − | 8.33981i | 0.256369 | − | 0.270011i | ||||
\(955\) | −14.4327 | + | 0.235964i | −0.467033 | + | 0.00763562i | ||||
\(956\) | 30.7010 | + | 34.0969i | 0.992941 | + | 1.10277i | ||||
\(957\) | −6.80500 | − | 4.04979i | −0.219974 | − | 0.130911i | ||||
\(958\) | −33.1415 | + | 7.04445i | −1.07075 | + | 0.227596i | ||||
\(959\) | −37.2646 | − | 16.5913i | −1.20334 | − | 0.535760i | ||||
\(960\) | 22.1074 | − | 2.39342i | 0.713514 | − | 0.0772472i | ||||
\(961\) | 17.4076 | − | 7.75038i | 0.561537 | − | 0.250012i | ||||
\(962\) | −7.28801 | + | 5.29505i | −0.234975 | + | 0.170719i | ||||
\(963\) | −2.63183 | − | 33.5559i | −0.0848094 | − | 1.08132i | ||||
\(964\) | −8.38474 | − | 6.09187i | −0.270054 | − | 0.196206i | ||||
\(965\) | 7.50226 | − | 3.48827i | 0.241506 | − | 0.112291i | ||||
\(966\) | 10.7639 | + | 15.2350i | 0.346324 | + | 0.490177i | ||||
\(967\) | −56.6305 | + | 12.0372i | −1.82111 | + | 0.387090i | −0.986502 | − | 0.163749i | \(-0.947641\pi\) |
−0.834612 | + | 0.550839i | \(0.814308\pi\) | |||||||
\(968\) | 2.66302 | + | 4.61248i | 0.0855925 | + | 0.148251i | ||||
\(969\) | 19.2585 | + | 96.8869i | 0.618671 | + | 3.11246i | ||||
\(970\) | 3.08388 | + | 25.3479i | 0.0990175 | + | 0.813871i | ||||
\(971\) | −11.4709 | − | 35.3038i | −0.368119 | − | 1.13295i | −0.948005 | − | 0.318255i | \(-0.896903\pi\) |
0.579886 | − | 0.814697i | \(-0.303097\pi\) | |||||||
\(972\) | 26.1898 | − | 6.63262i | 0.840037 | − | 0.212741i | ||||
\(973\) | −40.8458 | − | 29.6762i | −1.30946 | − | 0.951376i | ||||
\(974\) | −4.99286 | + | 8.64789i | −0.159982 | + | 0.277096i | ||||
\(975\) | −5.36837 | − | 23.0407i | −0.171925 | − | 0.737894i | ||||
\(976\) | 5.59853 | + | 9.69693i | 0.179204 | + | 0.310391i | ||||
\(977\) | −1.59806 | + | 15.2045i | −0.0511264 | + | 0.486436i | 0.938760 | + | 0.344572i | \(0.111976\pi\) |
−0.989886 | + | 0.141863i | \(0.954691\pi\) | |||||||
\(978\) | 19.2734 | − | 5.98170i | 0.616294 | − | 0.191274i | ||||
\(979\) | 8.11824 | + | 1.72559i | 0.259460 | + | 0.0551499i | ||||
\(980\) | 0.352765 | − | 1.14930i | 0.0112687 | − | 0.0367130i | ||||
\(981\) | −13.2825 | − | 15.5603i | −0.424079 | − | 0.496803i | ||||
\(982\) | −32.7787 | −1.04601 | ||||||||
\(983\) | 17.4517 | + | 19.3821i | 0.556623 | + | 0.618192i | 0.954125 | − | 0.299409i | \(-0.0967896\pi\) |
−0.397502 | + | 0.917601i | \(0.630123\pi\) | |||||||
\(984\) | −1.60218 | + | 0.147002i | −0.0510755 | + | 0.00468626i | ||||
\(985\) | −47.5846 | + | 10.9304i | −1.51617 | + | 0.348271i | ||||
\(986\) | −8.95916 | + | 85.2407i | −0.285318 | + | 2.71462i | ||||
\(987\) | 14.5857 | − | 1.33826i | 0.464267 | − | 0.0425972i | ||||
\(988\) | −3.55014 | − | 33.7773i | −0.112945 | − | 1.07460i | ||||
\(989\) | −14.7972 | − | 10.7508i | −0.470524 | − | 0.341856i | ||||
\(990\) | −7.18559 | + | 7.82009i | −0.228373 | + | 0.248539i | ||||
\(991\) | 23.1924 | − | 16.8503i | 0.736731 | − | 0.535266i | −0.154955 | − | 0.987922i | \(-0.549523\pi\) |
0.891686 | + | 0.452655i | \(0.149523\pi\) | |||||||
\(992\) | −35.9358 | − | 39.9107i | −1.14096 | − | 1.26717i | ||||
\(993\) | −0.0621413 | + | 4.69872i | −0.00197199 | + | 0.149109i | ||||
\(994\) | 55.3553 | − | 11.7661i | 1.75576 | − | 0.373199i | ||||
\(995\) | −3.21686 | + | 36.3066i | −0.101981 | + | 1.15100i | ||||
\(996\) | −5.89602 | − | 5.45169i | −0.186822 | − | 0.172743i | ||||
\(997\) | 16.9658 | + | 3.60618i | 0.537311 | + | 0.114209i | 0.468571 | − | 0.883426i | \(-0.344769\pi\) |
0.0687396 | + | 0.997635i | \(0.478102\pi\) | |||||||
\(998\) | 13.2031 | + | 9.59259i | 0.417936 | + | 0.303648i | ||||
\(999\) | −0.351751 | + | 8.86157i | −0.0111289 | + | 0.280368i |
(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 | 225.2.q.a.16.6 | ✓ | 224 | |
3.2 | odd | 2 | 675.2.r.a.316.23 | 224 | |||
9.4 | even | 3 | inner | 225.2.q.a.166.23 | yes | 224 | |
9.5 | odd | 6 | 675.2.r.a.91.6 | 224 | |||
25.11 | even | 5 | inner | 225.2.q.a.61.23 | yes | 224 | |
75.11 | odd | 10 | 675.2.r.a.586.6 | 224 | |||
225.86 | odd | 30 | 675.2.r.a.361.23 | 224 | |||
225.211 | even | 15 | inner | 225.2.q.a.211.6 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.q.a.16.6 | ✓ | 224 | 1.1 | even | 1 | trivial | |
225.2.q.a.61.23 | yes | 224 | 25.11 | even | 5 | inner | |
225.2.q.a.166.23 | yes | 224 | 9.4 | even | 3 | inner | |
225.2.q.a.211.6 | yes | 224 | 225.211 | even | 15 | inner | |
675.2.r.a.91.6 | 224 | 9.5 | odd | 6 | |||
675.2.r.a.316.23 | 224 | 3.2 | odd | 2 | |||
675.2.r.a.361.23 | 224 | 225.86 | odd | 30 | |||
675.2.r.a.586.6 | 224 | 75.11 | odd | 10 |