Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(4,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.g (of order \(27\), degree \(18\), 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: | \(0.646788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 13.2 | ||
Character | \(\chi\) | \(=\) | 81.13 |
Dual form | 81.2.g.a.25.2 |
$q$-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 \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{4}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.89071 | − | 0.949549i | −1.33693 | − | 0.671433i | −0.370615 | − | 0.928786i | \(-0.620853\pi\) |
−0.966317 | + | 0.257354i | \(0.917149\pi\) | |||||||
\(3\) | −0.540889 | + | 1.64543i | −0.312282 | + | 0.949989i | ||||
\(4\) | 1.47882 | + | 1.98639i | 0.739408 | + | 0.993197i | ||||
\(5\) | −1.11651 | − | 3.72940i | −0.499317 | − | 1.66784i | −0.721172 | − | 0.692756i | \(-0.756396\pi\) |
0.221854 | − | 0.975080i | \(-0.428789\pi\) | |||||||
\(6\) | 2.58508 | − | 2.59743i | 1.05535 | − | 1.06040i | ||||
\(7\) | −1.32100 | − | 3.06243i | −0.499292 | − | 1.15749i | −0.962510 | − | 0.271245i | \(-0.912565\pi\) |
0.463218 | − | 0.886244i | \(-0.346695\pi\) | |||||||
\(8\) | −0.175036 | − | 0.992677i | −0.0618845 | − | 0.350964i | ||||
\(9\) | −2.41488 | − | 1.77999i | −0.804959 | − | 0.593330i | ||||
\(10\) | −1.43025 | + | 8.11138i | −0.452286 | + | 2.56504i | ||||
\(11\) | 0.736337 | − | 0.174515i | 0.222014 | − | 0.0526183i | −0.118103 | − | 0.993001i | \(-0.537681\pi\) |
0.340117 | + | 0.940383i | \(0.389533\pi\) | |||||||
\(12\) | −4.06835 | + | 1.35887i | −1.17443 | + | 0.392272i | ||||
\(13\) | −2.07722 | − | 1.36621i | −0.576116 | − | 0.378918i | 0.227757 | − | 0.973718i | \(-0.426861\pi\) |
−0.803873 | + | 0.594800i | \(0.797231\pi\) | |||||||
\(14\) | −0.410296 | + | 7.04452i | −0.109656 | + | 1.88273i | ||||
\(15\) | 6.74036 | + | 0.180054i | 1.74035 | + | 0.0464897i | ||||
\(16\) | 0.808837 | − | 2.70170i | 0.202209 | − | 0.675426i | ||||
\(17\) | −0.700932 | + | 0.255119i | −0.170001 | + | 0.0618753i | −0.425619 | − | 0.904903i | \(-0.639943\pi\) |
0.255617 | + | 0.966778i | \(0.417721\pi\) | |||||||
\(18\) | 2.87564 | + | 5.65849i | 0.677795 | + | 1.33372i | ||||
\(19\) | 4.21736 | + | 1.53499i | 0.967530 | + | 0.352152i | 0.776980 | − | 0.629526i | \(-0.216751\pi\) |
0.190550 | + | 0.981678i | \(0.438973\pi\) | |||||||
\(20\) | 5.75694 | − | 7.73291i | 1.28729 | − | 1.72913i | ||||
\(21\) | 5.75353 | − | 0.517183i | 1.25552 | − | 0.112859i | ||||
\(22\) | −1.55791 | − | 0.369231i | −0.332147 | − | 0.0787203i | ||||
\(23\) | −0.905723 | + | 2.09970i | −0.188856 | + | 0.437818i | −0.986168 | − | 0.165750i | \(-0.946996\pi\) |
0.797312 | + | 0.603568i | \(0.206255\pi\) | |||||||
\(24\) | 1.72805 | + | 0.248919i | 0.352738 | + | 0.0508104i | ||||
\(25\) | −8.48436 | + | 5.58025i | −1.69687 | + | 1.11605i | ||||
\(26\) | 2.63013 | + | 4.55552i | 0.515811 | + | 0.893410i | ||||
\(27\) | 4.23503 | − | 3.01074i | 0.815032 | − | 0.579416i | ||||
\(28\) | 4.12967 | − | 7.15280i | 0.780435 | − | 1.35175i | ||||
\(29\) | −0.0269788 | − | 0.463208i | −0.00500984 | − | 0.0860156i | 0.994876 | − | 0.101099i | \(-0.0322358\pi\) |
−0.999886 | + | 0.0150831i | \(0.995199\pi\) | |||||||
\(30\) | −12.5731 | − | 6.74074i | −2.29552 | − | 1.23068i | ||||
\(31\) | 3.91546 | − | 0.457651i | 0.703237 | − | 0.0821966i | 0.243044 | − | 0.970015i | \(-0.421854\pi\) |
0.460193 | + | 0.887819i | \(0.347780\pi\) | |||||||
\(32\) | −5.47813 | + | 5.80647i | −0.968405 | + | 1.02645i | ||||
\(33\) | −0.111124 | + | 1.30598i | −0.0193442 | + | 0.227343i | ||||
\(34\) | 1.56751 | + | 0.183215i | 0.268825 | + | 0.0314212i | ||||
\(35\) | −9.94610 | + | 8.34577i | −1.68120 | + | 1.41069i | ||||
\(36\) | −0.0353989 | − | 7.42918i | −0.00589982 | − | 1.23820i | ||||
\(37\) | −3.64375 | − | 3.05747i | −0.599029 | − | 0.502645i | 0.292104 | − | 0.956387i | \(-0.405645\pi\) |
−0.891134 | + | 0.453741i | \(0.850089\pi\) | |||||||
\(38\) | −6.51625 | − | 6.90682i | −1.05708 | − | 1.12043i | ||||
\(39\) | 3.37154 | − | 2.67895i | 0.539879 | − | 0.428975i | ||||
\(40\) | −3.50665 | + | 1.76111i | −0.554451 | + | 0.278456i | ||||
\(41\) | 4.37210 | − | 2.19575i | 0.682807 | − | 0.342919i | −0.0733521 | − | 0.997306i | \(-0.523370\pi\) |
0.756160 | + | 0.654387i | \(0.227073\pi\) | |||||||
\(42\) | −11.3693 | − | 4.48541i | −1.75433 | − | 0.692115i | ||||
\(43\) | −4.07702 | − | 4.32138i | −0.621739 | − | 0.659005i | 0.337591 | − | 0.941293i | \(-0.390388\pi\) |
−0.959330 | + | 0.282288i | \(0.908907\pi\) | |||||||
\(44\) | 1.43556 | + | 1.20458i | 0.216419 | + | 0.181597i | ||||
\(45\) | −3.94205 | + | 10.9934i | −0.587647 | + | 1.63880i | ||||
\(46\) | 3.70623 | − | 3.10990i | 0.546454 | − | 0.458529i | ||||
\(47\) | 10.6936 | + | 1.24990i | 1.55981 | + | 0.182316i | 0.851795 | − | 0.523876i | \(-0.175515\pi\) |
0.708020 | + | 0.706192i | \(0.249589\pi\) | |||||||
\(48\) | 4.00797 | + | 2.79221i | 0.578501 | + | 0.403020i | ||||
\(49\) | −2.82973 | + | 2.99934i | −0.404247 | + | 0.428477i | ||||
\(50\) | 21.3402 | − | 2.49431i | 3.01796 | − | 0.352748i | ||||
\(51\) | −0.0406530 | − | 1.29133i | −0.00569256 | − | 0.180822i | ||||
\(52\) | −0.357995 | − | 6.14654i | −0.0496450 | − | 0.852372i | ||||
\(53\) | 5.75294 | − | 9.96438i | 0.790227 | − | 1.36871i | −0.135600 | − | 0.990764i | \(-0.543296\pi\) |
0.925826 | − | 0.377949i | \(-0.123371\pi\) | |||||||
\(54\) | −10.8660 | + | 1.67105i | −1.47868 | + | 0.227402i | ||||
\(55\) | −1.47296 | − | 2.55124i | −0.198614 | − | 0.344010i | ||||
\(56\) | −2.80878 | + | 1.84736i | −0.375339 | + | 0.246864i | ||||
\(57\) | −4.80685 | + | 6.10911i | −0.636683 | + | 0.809172i | ||||
\(58\) | −0.388830 | + | 0.901409i | −0.0510559 | + | 0.118361i | ||||
\(59\) | −4.03735 | − | 0.956869i | −0.525618 | − | 0.124574i | −0.0407637 | − | 0.999169i | \(-0.512979\pi\) |
−0.484854 | + | 0.874595i | \(0.661127\pi\) | |||||||
\(60\) | 9.61010 | + | 13.6553i | 1.24066 | + | 1.76289i | ||||
\(61\) | 0.159571 | − | 0.214341i | 0.0204310 | − | 0.0274436i | −0.791790 | − | 0.610793i | \(-0.790851\pi\) |
0.812221 | + | 0.583349i | \(0.198258\pi\) | |||||||
\(62\) | −7.83755 | − | 2.85264i | −0.995370 | − | 0.362285i | ||||
\(63\) | −2.26103 | + | 9.74676i | −0.284863 | + | 1.22798i | ||||
\(64\) | 10.5709 | − | 3.84748i | 1.32136 | − | 0.480935i | ||||
\(65\) | −2.77590 | + | 9.27214i | −0.344308 | + | 1.15007i | ||||
\(66\) | 1.45020 | − | 2.36372i | 0.178507 | − | 0.290953i | ||||
\(67\) | 0.111496 | − | 1.91430i | 0.0136213 | − | 0.233870i | −0.984625 | − | 0.174679i | \(-0.944111\pi\) |
0.998247 | − | 0.0591902i | \(-0.0188518\pi\) | |||||||
\(68\) | −1.54332 | − | 1.01506i | −0.187155 | − | 0.123094i | ||||
\(69\) | −2.96502 | − | 2.62601i | −0.356946 | − | 0.316134i | ||||
\(70\) | 26.7299 | − | 6.33510i | 3.19483 | − | 0.757189i | ||||
\(71\) | 1.17278 | − | 6.65118i | 0.139184 | − | 0.789350i | −0.832671 | − | 0.553768i | \(-0.813189\pi\) |
0.971855 | − | 0.235582i | \(-0.0756996\pi\) | |||||||
\(72\) | −1.34426 | + | 2.70876i | −0.158423 | + | 0.319230i | ||||
\(73\) | 1.37723 | + | 7.81064i | 0.161192 | + | 0.914167i | 0.952904 | + | 0.303272i | \(0.0980791\pi\) |
−0.791712 | + | 0.610895i | \(0.790810\pi\) | |||||||
\(74\) | 3.98605 | + | 9.24071i | 0.463369 | + | 1.07421i | ||||
\(75\) | −4.59281 | − | 16.9787i | −0.530333 | − | 1.96053i | ||||
\(76\) | 3.18760 | + | 10.6473i | 0.365643 | + | 1.22133i | ||||
\(77\) | −1.50714 | − | 2.02444i | −0.171755 | − | 0.230707i | ||||
\(78\) | −8.91839 | + | 1.86366i | −1.00981 | + | 0.211018i | ||||
\(79\) | 3.85762 | + | 1.93737i | 0.434016 | + | 0.217971i | 0.652373 | − | 0.757898i | \(-0.273773\pi\) |
−0.218357 | + | 0.975869i | \(0.570070\pi\) | |||||||
\(80\) | −10.9788 | −1.22747 | ||||||||
\(81\) | 2.66327 | + | 8.59692i | 0.295919 | + | 0.955213i | ||||
\(82\) | −10.3513 | −1.14311 | ||||||||
\(83\) | −2.27599 | − | 1.14304i | −0.249822 | − | 0.125465i | 0.319482 | − | 0.947592i | \(-0.396491\pi\) |
−0.569304 | + | 0.822127i | \(0.692787\pi\) | |||||||
\(84\) | 9.53574 | + | 10.6640i | 1.04043 | + | 1.16353i | ||||
\(85\) | 1.73403 | + | 2.32921i | 0.188082 | + | 0.252639i | ||||
\(86\) | 3.60508 | + | 12.0418i | 0.388746 | + | 1.29850i | ||||
\(87\) | 0.776769 | + | 0.206152i | 0.0832784 | + | 0.0221019i | ||||
\(88\) | −0.302122 | − | 0.700398i | −0.0322063 | − | 0.0746627i | ||||
\(89\) | −0.935549 | − | 5.30576i | −0.0991680 | − | 0.562410i | −0.993390 | − | 0.114786i | \(-0.963382\pi\) |
0.894222 | − | 0.447623i | \(-0.147729\pi\) | |||||||
\(90\) | 17.8921 | − | 17.0421i | 1.88599 | − | 1.79640i | ||||
\(91\) | −1.43990 | + | 8.16609i | −0.150943 | + | 0.856039i | ||||
\(92\) | −5.51024 | + | 1.30595i | −0.574482 | + | 0.136155i | ||||
\(93\) | −1.36479 | + | 6.69015i | −0.141523 | + | 0.693736i | ||||
\(94\) | −19.0315 | − | 12.5172i | −1.96295 | − | 1.29106i | ||||
\(95\) | 1.01588 | − | 17.4421i | 0.104227 | − | 1.78952i | ||||
\(96\) | −6.59109 | − | 12.1545i | −0.672700 | − | 1.24052i | ||||
\(97\) | −2.72130 | + | 9.08977i | −0.276306 | + | 0.922926i | 0.701368 | + | 0.712799i | \(0.252573\pi\) |
−0.977674 | + | 0.210127i | \(0.932612\pi\) | |||||||
\(98\) | 8.19821 | − | 2.98391i | 0.828145 | − | 0.301420i | ||||
\(99\) | −2.08880 | − | 0.889239i | −0.209932 | − | 0.0893719i | ||||
\(100\) | −23.6314 | − | 8.60112i | −2.36314 | − | 0.860112i | ||||
\(101\) | −7.34963 | + | 9.87227i | −0.731315 | + | 0.982327i | 0.268503 | + | 0.963279i | \(0.413471\pi\) |
−0.999819 | + | 0.0190483i | \(0.993936\pi\) | |||||||
\(102\) | −1.14931 | + | 2.48012i | −0.113799 | + | 0.245569i | ||||
\(103\) | 16.2209 | + | 3.84443i | 1.59830 | + | 0.378803i | 0.930719 | − | 0.365736i | \(-0.119183\pi\) |
0.667578 | + | 0.744539i | \(0.267331\pi\) | |||||||
\(104\) | −0.992615 | + | 2.30114i | −0.0973339 | + | 0.225645i | ||||
\(105\) | −8.35264 | − | 20.8797i | −0.815134 | − | 2.03765i | ||||
\(106\) | −20.3388 | + | 13.3770i | −1.97548 | + | 1.29929i | ||||
\(107\) | 1.84694 | + | 3.19899i | 0.178550 | + | 0.309258i | 0.941384 | − | 0.337336i | \(-0.109526\pi\) |
−0.762834 | + | 0.646595i | \(0.776193\pi\) | |||||||
\(108\) | 12.2433 | + | 3.96011i | 1.17812 | + | 0.381062i | ||||
\(109\) | 8.66961 | − | 15.0162i | 0.830398 | − | 1.43829i | −0.0673245 | − | 0.997731i | \(-0.521446\pi\) |
0.897723 | − | 0.440561i | \(-0.145220\pi\) | |||||||
\(110\) | 0.362408 | + | 6.22231i | 0.0345543 | + | 0.593274i | ||||
\(111\) | 7.00172 | − | 4.34179i | 0.664574 | − | 0.412104i | ||||
\(112\) | −9.34225 | + | 1.09195i | −0.882760 | + | 0.103180i | ||||
\(113\) | 7.07449 | − | 7.49852i | 0.665512 | − | 0.705401i | −0.303385 | − | 0.952868i | \(-0.598117\pi\) |
0.968896 | + | 0.247467i | \(0.0795982\pi\) | |||||||
\(114\) | 14.8893 | − | 6.98621i | 1.39451 | − | 0.654318i | ||||
\(115\) | 8.84187 | + | 1.03347i | 0.824508 | + | 0.0963712i | ||||
\(116\) | 0.880217 | − | 0.738590i | 0.0817261 | − | 0.0685764i | ||||
\(117\) | 2.58439 | + | 6.99665i | 0.238927 | + | 0.646840i | ||||
\(118\) | 6.72485 | + | 5.64282i | 0.619072 | + | 0.519464i | ||||
\(119\) | 1.70722 | + | 1.80954i | 0.156500 | + | 0.165881i | ||||
\(120\) | −1.00107 | − | 6.72252i | −0.0913847 | − | 0.613679i | ||||
\(121\) | −9.31822 | + | 4.67979i | −0.847111 | + | 0.425435i | ||||
\(122\) | −0.505229 | + | 0.253736i | −0.0457413 | + | 0.0229722i | ||||
\(123\) | 1.24813 | + | 8.38164i | 0.112540 | + | 0.755747i | ||||
\(124\) | 6.69932 | + | 7.10086i | 0.601617 | + | 0.637676i | ||||
\(125\) | 15.3730 | + | 12.8995i | 1.37500 | + | 1.15376i | ||||
\(126\) | 13.5300 | − | 16.2813i | 1.20535 | − | 1.45046i | ||||
\(127\) | −10.1217 | + | 8.49315i | −0.898159 | + | 0.753645i | −0.969830 | − | 0.243783i | \(-0.921611\pi\) |
0.0716705 | + | 0.997428i | \(0.477167\pi\) | |||||||
\(128\) | −7.78215 | − | 0.909603i | −0.687852 | − | 0.0803983i | ||||
\(129\) | 9.31575 | − | 4.37105i | 0.820206 | − | 0.384850i | ||||
\(130\) | 14.0528 | − | 14.8951i | 1.23251 | − | 1.30638i | ||||
\(131\) | −9.99331 | + | 1.16805i | −0.873120 | + | 0.102053i | −0.540838 | − | 0.841127i | \(-0.681893\pi\) |
−0.332282 | + | 0.943180i | \(0.607819\pi\) | |||||||
\(132\) | −2.75853 | + | 1.71057i | −0.240099 | + | 0.148886i | ||||
\(133\) | −0.870337 | − | 14.9431i | −0.0754678 | − | 1.29573i | ||||
\(134\) | −2.02853 | + | 3.51352i | −0.175238 | + | 0.303522i | ||||
\(135\) | −15.9567 | − | 12.4326i | −1.37333 | − | 1.07003i | ||||
\(136\) | 0.375938 | + | 0.651145i | 0.0322365 | + | 0.0558352i | ||||
\(137\) | 7.91093 | − | 5.20310i | 0.675876 | − | 0.444531i | −0.164614 | − | 0.986358i | \(-0.552638\pi\) |
0.840490 | + | 0.541827i | \(0.182267\pi\) | |||||||
\(138\) | 3.11246 | + | 7.78045i | 0.264950 | + | 0.662316i | ||||
\(139\) | −4.15897 | + | 9.64158i | −0.352760 | + | 0.817788i | 0.645768 | + | 0.763534i | \(0.276537\pi\) |
−0.998527 | + | 0.0542545i | \(0.982722\pi\) | |||||||
\(140\) | −31.2864 | − | 7.41502i | −2.64419 | − | 0.626684i | ||||
\(141\) | −7.84064 | + | 16.9194i | −0.660301 | + | 1.42487i | ||||
\(142\) | −8.53302 | + | 11.4618i | −0.716075 | + | 0.961855i | ||||
\(143\) | −1.76795 | − | 0.643483i | −0.147844 | − | 0.0538107i | ||||
\(144\) | −6.76225 | + | 5.08456i | −0.563521 | + | 0.423714i | ||||
\(145\) | −1.69736 | + | 0.617790i | −0.140958 | + | 0.0513047i | ||||
\(146\) | 4.81266 | − | 16.0754i | 0.398298 | − | 1.33041i | ||||
\(147\) | −3.40463 | − | 6.27843i | −0.280809 | − | 0.517836i | ||||
\(148\) | 0.684905 | − | 11.7594i | 0.0562989 | − | 0.966614i | ||||
\(149\) | −10.3846 | − | 6.83006i | −0.850740 | − | 0.559541i | 0.0475872 | − | 0.998867i | \(-0.484847\pi\) |
−0.898328 | + | 0.439326i | \(0.855217\pi\) | |||||||
\(150\) | −7.43845 | + | 36.4629i | −0.607347 | + | 2.97718i | ||||
\(151\) | −17.7357 | + | 4.20344i | −1.44331 | + | 0.342071i | −0.876350 | − | 0.481674i | \(-0.840029\pi\) |
−0.566960 | + | 0.823745i | \(0.691881\pi\) | |||||||
\(152\) | 0.785565 | − | 4.45516i | 0.0637177 | − | 0.361361i | ||||
\(153\) | 2.14678 | + | 0.631572i | 0.173556 | + | 0.0510596i | ||||
\(154\) | 0.927258 | + | 5.25874i | 0.0747206 | + | 0.423761i | ||||
\(155\) | −6.07840 | − | 14.0913i | −0.488229 | − | 1.13184i | ||||
\(156\) | 10.3073 | + | 2.73554i | 0.825247 | + | 0.219018i | ||||
\(157\) | −6.70313 | − | 22.3900i | −0.534968 | − | 1.78692i | −0.613136 | − | 0.789978i | \(-0.710092\pi\) |
0.0781675 | − | 0.996940i | \(-0.475093\pi\) | |||||||
\(158\) | −5.45401 | − | 7.32601i | −0.433898 | − | 0.582826i | ||||
\(159\) | 13.2840 | + | 14.8557i | 1.05349 | + | 1.17813i | ||||
\(160\) | 27.7710 | + | 13.9471i | 2.19549 | + | 1.10262i | ||||
\(161\) | 7.62665 | 0.601064 | ||||||||
\(162\) | 3.12772 | − | 18.7832i | 0.245737 | − | 1.47575i | ||||
\(163\) | 11.7238 | 0.918278 | 0.459139 | − | 0.888364i | \(-0.348158\pi\) | ||||
0.459139 | + | 0.888364i | \(0.348158\pi\) | |||||||
\(164\) | 10.8272 | + | 5.43761i | 0.845459 | + | 0.424606i | ||||
\(165\) | 4.99460 | − | 1.04371i | 0.388829 | − | 0.0812531i | ||||
\(166\) | 3.21785 | + | 4.32232i | 0.249754 | + | 0.335477i | ||||
\(167\) | 6.94439 | + | 23.1959i | 0.537373 | + | 1.79495i | 0.603772 | + | 0.797157i | \(0.293664\pi\) |
−0.0663994 | + | 0.997793i | \(0.521151\pi\) | |||||||
\(168\) | −1.52047 | − | 5.62087i | −0.117307 | − | 0.433659i | ||||
\(169\) | −2.70073 | − | 6.26100i | −0.207748 | − | 0.481615i | ||||
\(170\) | −1.06685 | − | 6.05041i | −0.0818237 | − | 0.464045i | ||||
\(171\) | −7.45215 | − | 11.2137i | −0.569880 | − | 0.857532i | ||||
\(172\) | 2.55482 | − | 14.4891i | 0.194803 | − | 1.10478i | ||||
\(173\) | −15.0943 | + | 3.57742i | −1.14760 | + | 0.271986i | −0.760051 | − | 0.649863i | \(-0.774826\pi\) |
−0.387548 | + | 0.921849i | \(0.626678\pi\) | |||||||
\(174\) | −1.27289 | − | 1.12735i | −0.0964976 | − | 0.0854645i | ||||
\(175\) | 28.2970 | + | 18.6112i | 2.13905 | + | 1.40688i | ||||
\(176\) | 0.124089 | − | 2.13052i | 0.00935353 | − | 0.160594i | ||||
\(177\) | 3.75822 | − | 6.12561i | 0.282485 | − | 0.460429i | ||||
\(178\) | −3.26923 | + | 10.9200i | −0.245039 | + | 0.818489i | ||||
\(179\) | 6.75474 | − | 2.45852i | 0.504873 | − | 0.183759i | −0.0770114 | − | 0.997030i | \(-0.524538\pi\) |
0.581884 | + | 0.813271i | \(0.302316\pi\) | |||||||
\(180\) | −27.6668 | + | 8.42675i | −2.06216 | + | 0.628093i | ||||
\(181\) | 7.27112 | + | 2.64647i | 0.540458 | + | 0.196711i | 0.597802 | − | 0.801644i | \(-0.296041\pi\) |
−0.0573439 | + | 0.998354i | \(0.518263\pi\) | |||||||
\(182\) | 10.4765 | − | 14.0724i | 0.776573 | − | 1.04312i | ||||
\(183\) | 0.266373 | + | 0.378497i | 0.0196909 | + | 0.0279793i | ||||
\(184\) | 2.24286 | + | 0.531567i | 0.165346 | + | 0.0391877i | ||||
\(185\) | −7.33424 | + | 17.0027i | −0.539224 | + | 1.25006i | ||||
\(186\) | 8.93306 | − | 11.3532i | 0.655004 | − | 0.832456i | ||||
\(187\) | −0.471600 | + | 0.310176i | −0.0344868 | + | 0.0226824i | ||||
\(188\) | 13.3310 | + | 23.0900i | 0.972264 | + | 1.68401i | ||||
\(189\) | −14.8146 | − | 8.99228i | −1.07761 | − | 0.654092i | ||||
\(190\) | −18.4828 | + | 32.0132i | −1.34089 | + | 2.32248i | ||||
\(191\) | 0.585993 | + | 10.0611i | 0.0424010 | + | 0.727996i | 0.950783 | + | 0.309856i | \(0.100281\pi\) |
−0.908382 | + | 0.418140i | \(0.862682\pi\) | |||||||
\(192\) | 0.613094 | + | 19.4747i | 0.0442463 | + | 1.40546i | ||||
\(193\) | 15.8841 | − | 1.85659i | 1.14337 | − | 0.133640i | 0.476748 | − | 0.879040i | \(-0.341815\pi\) |
0.666618 | + | 0.745400i | \(0.267741\pi\) | |||||||
\(194\) | 13.7764 | − | 14.6021i | 0.989086 | − | 1.04837i | ||||
\(195\) | −13.7552 | − | 9.58274i | −0.985031 | − | 0.686234i | ||||
\(196\) | −10.1425 | − | 1.18549i | −0.724466 | − | 0.0846779i | ||||
\(197\) | 8.40349 | − | 7.05136i | 0.598724 | − | 0.502389i | −0.292311 | − | 0.956323i | \(-0.594424\pi\) |
0.891035 | + | 0.453934i | \(0.149980\pi\) | |||||||
\(198\) | 3.10493 | + | 3.66471i | 0.220658 | + | 0.260440i | ||||
\(199\) | 2.68937 | + | 2.25665i | 0.190644 | + | 0.159970i | 0.733114 | − | 0.680106i | \(-0.238066\pi\) |
−0.542470 | + | 0.840075i | \(0.682511\pi\) | |||||||
\(200\) | 7.02445 | + | 7.44548i | 0.496704 | + | 0.526475i | ||||
\(201\) | 3.08955 | + | 1.21888i | 0.217920 | + | 0.0859735i | ||||
\(202\) | 23.2702 | − | 11.6867i | 1.63729 | − | 0.822276i | ||||
\(203\) | −1.38290 | + | 0.694520i | −0.0970607 | + | 0.0487457i | ||||
\(204\) | 2.50496 | − | 1.99039i | 0.175383 | − | 0.139355i | ||||
\(205\) | −13.0703 | − | 13.8537i | −0.912870 | − | 0.967586i | ||||
\(206\) | −27.0186 | − | 22.6713i | −1.88247 | − | 1.57958i | ||||
\(207\) | 5.92466 | − | 3.45835i | 0.411792 | − | 0.240372i | ||||
\(208\) | −5.37122 | + | 4.50698i | −0.372427 | + | 0.312503i | ||||
\(209\) | 3.37328 | + | 0.394280i | 0.233335 | + | 0.0272729i | ||||
\(210\) | −4.03394 | + | 47.4087i | −0.278368 | + | 3.27151i | ||||
\(211\) | 5.27290 | − | 5.58895i | 0.363002 | − | 0.384759i | −0.519971 | − | 0.854184i | \(-0.674057\pi\) |
0.882972 | + | 0.469425i | \(0.155539\pi\) | |||||||
\(212\) | 28.3007 | − | 3.30788i | 1.94370 | − | 0.227186i | ||||
\(213\) | 10.3097 | + | 5.52728i | 0.706410 | + | 0.378723i | ||||
\(214\) | −0.454422 | − | 7.80212i | −0.0310636 | − | 0.533342i | ||||
\(215\) | −11.5641 | + | 20.0297i | −0.788667 | + | 1.36601i | ||||
\(216\) | −3.72997 | − | 3.67703i | −0.253792 | − | 0.250190i | ||||
\(217\) | −6.57386 | − | 11.3863i | −0.446262 | − | 0.772949i | ||||
\(218\) | −30.6503 | + | 20.1590i | −2.07590 | + | 1.36534i | ||||
\(219\) | −13.5968 | − | 1.95856i | −0.918786 | − | 0.132347i | ||||
\(220\) | 2.88954 | − | 6.69870i | 0.194813 | − | 0.451626i | ||||
\(221\) | 1.80453 | + | 0.427682i | 0.121386 | + | 0.0287690i | ||||
\(222\) | −17.3610 | + | 1.56057i | −1.16519 | + | 0.104739i | ||||
\(223\) | 6.47575 | − | 8.69845i | 0.433649 | − | 0.582491i | −0.530556 | − | 0.847650i | \(-0.678017\pi\) |
0.964205 | + | 0.265159i | \(0.0854243\pi\) | |||||||
\(224\) | 25.0185 | + | 9.10600i | 1.67162 | + | 0.608420i | ||||
\(225\) | 30.4215 | + | 1.62644i | 2.02810 | + | 0.108430i | ||||
\(226\) | −20.4960 | + | 7.45993i | −1.36337 | + | 0.496227i | ||||
\(227\) | 3.11507 | − | 10.4051i | 0.206754 | − | 0.690608i | −0.790216 | − | 0.612828i | \(-0.790032\pi\) |
0.996971 | − | 0.0777796i | \(-0.0247831\pi\) | |||||||
\(228\) | −19.2436 | − | 0.514049i | −1.27444 | − | 0.0340437i | ||||
\(229\) | −0.133120 | + | 2.28559i | −0.00879685 | + | 0.151036i | 0.991049 | + | 0.133496i | \(0.0426204\pi\) |
−0.999846 | + | 0.0175398i | \(0.994417\pi\) | |||||||
\(230\) | −15.7361 | − | 10.3498i | −1.03761 | − | 0.682444i | ||||
\(231\) | 4.14628 | − | 1.38490i | 0.272805 | − | 0.0911196i | ||||
\(232\) | −0.455094 | + | 0.107859i | −0.0298784 | + | 0.00708130i | ||||
\(233\) | 3.09286 | − | 17.5405i | 0.202620 | − | 1.14912i | −0.698521 | − | 0.715590i | \(-0.746158\pi\) |
0.901141 | − | 0.433526i | \(-0.142731\pi\) | |||||||
\(234\) | 1.75733 | − | 15.6826i | 0.114880 | − | 1.02521i | ||||
\(235\) | −7.27807 | − | 41.2760i | −0.474769 | − | 2.69255i | ||||
\(236\) | −4.06977 | − | 9.43480i | −0.264920 | − | 0.614153i | ||||
\(237\) | −5.27435 | + | 5.29954i | −0.342606 | + | 0.344242i | ||||
\(238\) | −1.50960 | − | 5.04240i | −0.0978526 | − | 0.326851i | ||||
\(239\) | −7.32490 | − | 9.83905i | −0.473808 | − | 0.636435i | 0.499397 | − | 0.866373i | \(-0.333555\pi\) |
−0.973205 | + | 0.229938i | \(0.926148\pi\) | |||||||
\(240\) | 5.93831 | − | 18.0648i | 0.383316 | − | 1.16608i | ||||
\(241\) | 15.6381 | + | 7.85375i | 1.00734 | + | 0.505904i | 0.874393 | − | 0.485219i | \(-0.161260\pi\) |
0.132946 | + | 0.991123i | \(0.457556\pi\) | |||||||
\(242\) | 22.0617 | 1.41818 | ||||||||
\(243\) | −15.5862 | − | 0.267746i | −0.999852 | − | 0.0171759i | ||||
\(244\) | 0.661742 | 0.0423637 | ||||||||
\(245\) | 14.3451 | + | 7.20440i | 0.916477 | + | 0.460272i | ||||
\(246\) | 5.59893 | − | 17.0324i | 0.356974 | − | 1.08595i | ||||
\(247\) | −6.66326 | − | 8.95031i | −0.423973 | − | 0.569494i | ||||
\(248\) | −1.13964 | − | 3.80668i | −0.0723675 | − | 0.241724i | ||||
\(249\) | 3.11185 | − | 3.12672i | 0.197206 | − | 0.198148i | ||||
\(250\) | −16.8172 | − | 38.9865i | −1.06361 | − | 2.46573i | ||||
\(251\) | 3.26810 | + | 18.5343i | 0.206281 | + | 1.16988i | 0.895412 | + | 0.445239i | \(0.146881\pi\) |
−0.689131 | + | 0.724637i | \(0.742008\pi\) | |||||||
\(252\) | −22.7046 | + | 9.92237i | −1.43025 | + | 0.625051i | ||||
\(253\) | −0.300488 | + | 1.70415i | −0.0188915 | + | 0.107139i | ||||
\(254\) | 27.2019 | − | 6.44697i | 1.70680 | − | 0.404519i | ||||
\(255\) | −4.77048 | + | 1.59339i | −0.298739 | + | 0.0997817i | ||||
\(256\) | −4.94720 | − | 3.25382i | −0.309200 | − | 0.203364i | ||||
\(257\) | −1.00260 | + | 17.2139i | −0.0625403 | + | 1.07378i | 0.810378 | + | 0.585908i | \(0.199262\pi\) |
−0.872918 | + | 0.487867i | \(0.837775\pi\) | |||||||
\(258\) | −21.7639 | − | 0.581374i | −1.35496 | − | 0.0361947i | ||||
\(259\) | −4.54988 | + | 15.1977i | −0.282716 | + | 0.944337i | ||||
\(260\) | −22.5232 | + | 8.19776i | −1.39683 | + | 0.508404i | ||||
\(261\) | −0.759355 | + | 1.16661i | −0.0470029 | + | 0.0722115i | ||||
\(262\) | 20.0036 | + | 7.28070i | 1.23582 | + | 0.449803i | ||||
\(263\) | −14.6970 | + | 19.7415i | −0.906255 | + | 1.21731i | 0.0693091 | + | 0.997595i | \(0.477921\pi\) |
−0.975564 | + | 0.219716i | \(0.929487\pi\) | |||||||
\(264\) | 1.31587 | − | 0.118283i | 0.0809862 | − | 0.00727984i | ||||
\(265\) | −43.5843 | − | 10.3297i | −2.67736 | − | 0.634547i | ||||
\(266\) | −12.5437 | + | 29.0795i | −0.769101 | + | 1.78298i | ||||
\(267\) | 9.23629 | + | 1.33045i | 0.565252 | + | 0.0814221i | ||||
\(268\) | 3.96745 | − | 2.60943i | 0.242350 | − | 0.159396i | ||||
\(269\) | −5.32448 | − | 9.22227i | −0.324639 | − | 0.562292i | 0.656800 | − | 0.754065i | \(-0.271910\pi\) |
−0.981439 | + | 0.191773i | \(0.938576\pi\) | |||||||
\(270\) | 18.3640 | + | 38.6580i | 1.11760 | + | 2.35265i | ||||
\(271\) | 2.35817 | − | 4.08447i | 0.143249 | − | 0.248114i | −0.785469 | − | 0.618900i | \(-0.787578\pi\) |
0.928718 | + | 0.370786i | \(0.120912\pi\) | |||||||
\(272\) | 0.122315 | + | 2.10006i | 0.00741641 | + | 0.127335i | ||||
\(273\) | −12.6579 | − | 6.78621i | −0.766091 | − | 0.410720i | ||||
\(274\) | −19.8979 | + | 2.32573i | −1.20207 | + | 0.140502i | ||||
\(275\) | −5.27351 | + | 5.58959i | −0.318005 | + | 0.337065i | ||||
\(276\) | 0.831577 | − | 9.77308i | 0.0500550 | − | 0.588270i | ||||
\(277\) | 6.56691 | + | 0.767562i | 0.394567 | + | 0.0461183i | 0.311063 | − | 0.950389i | \(-0.399315\pi\) |
0.0835039 | + | 0.996507i | \(0.473389\pi\) | |||||||
\(278\) | 17.0186 | − | 14.2803i | 1.02071 | − | 0.856474i | ||||
\(279\) | −10.2700 | − | 5.86430i | −0.614847 | − | 0.351087i | ||||
\(280\) | 10.0256 | + | 8.41245i | 0.599142 | + | 0.502740i | ||||
\(281\) | 1.69927 | + | 1.80112i | 0.101370 | + | 0.107446i | 0.776072 | − | 0.630644i | \(-0.217209\pi\) |
−0.674702 | + | 0.738090i | \(0.735728\pi\) | |||||||
\(282\) | 30.8902 | − | 24.5446i | 1.83948 | − | 1.46161i | ||||
\(283\) | 0.828536 | − | 0.416107i | 0.0492514 | − | 0.0247350i | −0.424003 | − | 0.905661i | \(-0.639375\pi\) |
0.473254 | + | 0.880926i | \(0.343079\pi\) | |||||||
\(284\) | 14.9462 | − | 7.50627i | 0.886894 | − | 0.445415i | ||||
\(285\) | 28.1502 | + | 11.1058i | 1.66747 | + | 0.657849i | ||||
\(286\) | 2.73167 | + | 2.89540i | 0.161527 | + | 0.171208i | ||||
\(287\) | −12.4999 | − | 10.4887i | −0.737845 | − | 0.619126i | ||||
\(288\) | 23.5645 | − | 4.27092i | 1.38855 | − | 0.251666i | ||||
\(289\) | −12.5965 | + | 10.5697i | −0.740973 | + | 0.621750i | ||||
\(290\) | 3.79584 | + | 0.443670i | 0.222900 | + | 0.0260532i | ||||
\(291\) | −13.4847 | − | 9.39426i | −0.790485 | − | 0.550701i | ||||
\(292\) | −13.4784 | + | 14.2862i | −0.788761 | + | 0.836038i | ||||
\(293\) | −2.32920 | + | 0.272245i | −0.136073 | + | 0.0159047i | −0.183857 | − | 0.982953i | \(-0.558858\pi\) |
0.0477835 | + | 0.998858i | \(0.484784\pi\) | |||||||
\(294\) | 0.475484 | + | 15.1035i | 0.0277308 | + | 0.880857i | ||||
\(295\) | 0.939186 | + | 16.1252i | 0.0546815 | + | 0.938846i | ||||
\(296\) | −2.39729 | + | 4.15224i | −0.139340 | + | 0.241344i | ||||
\(297\) | 2.59299 | − | 2.95599i | 0.150460 | − | 0.171524i | ||||
\(298\) | 13.1488 | + | 22.7744i | 0.761688 | + | 1.31928i | ||||
\(299\) | 4.75001 | − | 3.12413i | 0.274700 | − | 0.180673i | ||||
\(300\) | 26.9345 | − | 34.2315i | 1.55506 | − | 1.97636i | ||||
\(301\) | −7.84818 | + | 18.1941i | −0.452362 | + | 1.04869i | ||||
\(302\) | 37.5244 | + | 8.89345i | 2.15929 | + | 0.511760i | ||||
\(303\) | −12.2688 | − | 17.4331i | −0.704823 | − | 1.00151i | ||||
\(304\) | 7.55826 | − | 10.1525i | 0.433496 | − | 0.582286i | ||||
\(305\) | −0.977524 | − | 0.355790i | −0.0559729 | − | 0.0203725i | ||||
\(306\) | −3.45922 | − | 3.23259i | −0.197750 | − | 0.184795i | ||||
\(307\) | 14.3376 | − | 5.21846i | 0.818289 | − | 0.297833i | 0.101246 | − | 0.994861i | \(-0.467717\pi\) |
0.717043 | + | 0.697028i | \(0.245495\pi\) | |||||||
\(308\) | 1.79256 | − | 5.98756i | 0.102140 | − | 0.341173i | ||||
\(309\) | −15.0995 | + | 24.6110i | −0.858979 | + | 1.40007i | ||||
\(310\) | −1.88792 | + | 32.4143i | −0.107227 | + | 1.84101i | ||||
\(311\) | 13.9891 | + | 9.20078i | 0.793249 | + | 0.521728i | 0.880267 | − | 0.474478i | \(-0.157363\pi\) |
−0.0870178 | + | 0.996207i | \(0.527734\pi\) | |||||||
\(312\) | −3.24947 | − | 2.87794i | −0.183965 | − | 0.162931i | ||||
\(313\) | 31.6953 | − | 7.51193i | 1.79153 | − | 0.424599i | 0.805693 | − | 0.592334i | \(-0.201793\pi\) |
0.985832 | + | 0.167734i | \(0.0536451\pi\) | |||||||
\(314\) | −8.58676 | + | 48.6979i | −0.484579 | + | 2.74818i | ||||
\(315\) | 38.8740 | − | 2.45006i | 2.19030 | − | 0.138045i | ||||
\(316\) | 1.85633 | + | 10.5278i | 0.104427 | + | 0.592234i | ||||
\(317\) | 8.58338 | + | 19.8985i | 0.482091 | + | 1.11761i | 0.969645 | + | 0.244519i | \(0.0786300\pi\) |
−0.487554 | + | 0.873093i | \(0.662111\pi\) | |||||||
\(318\) | −11.0099 | − | 40.7015i | −0.617407 | − | 2.28243i | ||||
\(319\) | −0.100702 | − | 0.336369i | −0.00563824 | − | 0.0188330i | ||||
\(320\) | −26.1512 | − | 35.1272i | −1.46190 | − | 1.96367i | ||||
\(321\) | −6.26271 | + | 1.30871i | −0.349550 | + | 0.0730450i | ||||
\(322\) | −14.4198 | − | 7.24188i | −0.803582 | − | 0.403574i | ||||
\(323\) | −3.34769 | −0.186271 | ||||||||
\(324\) | −13.1384 | + | 18.0036i | −0.729910 | + | 1.00020i | ||||
\(325\) | 25.2476 | 1.40049 | ||||||||
\(326\) | −22.1663 | − | 11.1323i | −1.22768 | − | 0.616562i | ||||
\(327\) | 20.0188 | + | 22.3873i | 1.10704 | + | 1.23802i | ||||
\(328\) | −2.94495 | − | 3.95575i | −0.162607 | − | 0.218420i | ||||
\(329\) | −10.2985 | − | 34.3994i | −0.567774 | − | 1.89650i | ||||
\(330\) | −10.4344 | − | 2.76926i | −0.574394 | − | 0.152443i | ||||
\(331\) | 9.43153 | + | 21.8648i | 0.518404 | + | 1.20180i | 0.953495 | + | 0.301409i | \(0.0974569\pi\) |
−0.435091 | + | 0.900386i | \(0.643284\pi\) | |||||||
\(332\) | −1.09523 | − | 6.21136i | −0.0601086 | − | 0.340893i | ||||
\(333\) | 3.35695 | + | 13.8693i | 0.183960 | + | 0.760031i | ||||
\(334\) | 8.89581 | − | 50.4507i | 0.486757 | − | 2.76054i | ||||
\(335\) | −7.26368 | + | 1.72152i | −0.396857 | + | 0.0940569i | ||||
\(336\) | 3.25639 | − | 15.9626i | 0.177651 | − | 0.870834i | ||||
\(337\) | 15.3690 | + | 10.1084i | 0.837204 | + | 0.550638i | 0.894164 | − | 0.447739i | \(-0.147770\pi\) |
−0.0569604 | + | 0.998376i | \(0.518141\pi\) | |||||||
\(338\) | −0.838832 | + | 14.4022i | −0.0456265 | + | 0.783376i | ||||
\(339\) | 8.51177 | + | 15.6964i | 0.462296 | + | 0.852513i | ||||
\(340\) | −2.06242 | + | 6.88895i | −0.111850 | + | 0.373606i | ||||
\(341\) | 2.80323 | − | 1.02029i | 0.151803 | − | 0.0552519i | ||||
\(342\) | 3.44188 | + | 28.2780i | 0.186116 | + | 1.52910i | ||||
\(343\) | −9.01506 | − | 3.28121i | −0.486767 | − | 0.177169i | ||||
\(344\) | −3.57611 | + | 4.80356i | −0.192811 | + | 0.258990i | ||||
\(345\) | −6.48296 | + | 13.9897i | −0.349031 | + | 0.753179i | ||||
\(346\) | 31.9359 | + | 7.56894i | 1.71688 | + | 0.406909i | ||||
\(347\) | −6.69815 | + | 15.5281i | −0.359576 | + | 0.833590i | 0.638383 | + | 0.769719i | \(0.279604\pi\) |
−0.997958 | + | 0.0638707i | \(0.979655\pi\) | |||||||
\(348\) | 0.739198 | + | 1.84783i | 0.0396252 | + | 0.0990541i | ||||
\(349\) | −6.82361 | + | 4.48796i | −0.365259 | + | 0.240235i | −0.718850 | − | 0.695166i | \(-0.755331\pi\) |
0.353590 | + | 0.935400i | \(0.384961\pi\) | |||||||
\(350\) | −35.8291 | − | 62.0578i | −1.91514 | − | 3.31713i | ||||
\(351\) | −12.9104 | + | 0.468025i | −0.689104 | + | 0.0249813i | ||||
\(352\) | −3.02043 | + | 5.23154i | −0.160989 | + | 0.278842i | ||||
\(353\) | −1.43120 | − | 24.5728i | −0.0761752 | − | 1.30788i | −0.792397 | − | 0.610005i | \(-0.791167\pi\) |
0.716222 | − | 0.697872i | \(-0.245870\pi\) | |||||||
\(354\) | −12.9223 | + | 8.01313i | −0.686810 | + | 0.425893i | ||||
\(355\) | −26.1143 | + | 3.05233i | −1.38600 | + | 0.162001i | ||||
\(356\) | 9.15584 | − | 9.70462i | 0.485258 | − | 0.514344i | ||||
\(357\) | −3.90089 | + | 1.83034i | −0.206457 | + | 0.0968720i | ||||
\(358\) | −15.1057 | − | 1.76561i | −0.798363 | − | 0.0933152i | ||||
\(359\) | −9.68682 | + | 8.12821i | −0.511251 | + | 0.428990i | −0.861569 | − | 0.507640i | \(-0.830518\pi\) |
0.350318 | + | 0.936631i | \(0.386073\pi\) | |||||||
\(360\) | 11.6029 | + | 1.98895i | 0.611526 | + | 0.104827i | ||||
\(361\) | 0.875105 | + | 0.734300i | 0.0460582 | + | 0.0386474i | ||||
\(362\) | −11.2346 | − | 11.9080i | −0.590478 | − | 0.625870i | ||||
\(363\) | −2.66014 | − | 17.8637i | −0.139621 | − | 0.937602i | ||||
\(364\) | −18.3504 | + | 9.21593i | −0.961824 | + | 0.483046i | ||||
\(365\) | 27.5913 | − | 13.8569i | 1.44419 | − | 0.725302i | ||||
\(366\) | −0.144231 | − | 0.968562i | −0.00753909 | − | 0.0506276i | ||||
\(367\) | 7.20152 | + | 7.63317i | 0.375917 | + | 0.398448i | 0.887517 | − | 0.460775i | \(-0.152429\pi\) |
−0.511600 | + | 0.859224i | \(0.670947\pi\) | |||||||
\(368\) | 4.94019 | + | 4.14531i | 0.257525 | + | 0.216089i | ||||
\(369\) | −14.4665 | − | 2.47982i | −0.753096 | − | 0.129094i | ||||
\(370\) | 30.0118 | − | 25.1829i | 1.56024 | − | 1.30920i | ||||
\(371\) | −38.1148 | − | 4.45499i | −1.97882 | − | 0.231291i | ||||
\(372\) | −15.3076 | + | 7.18248i | −0.793660 | + | 0.372394i | ||||
\(373\) | −8.09518 | + | 8.58039i | −0.419152 | + | 0.444276i | −0.902200 | − | 0.431319i | \(-0.858048\pi\) |
0.483047 | + | 0.875594i | \(0.339530\pi\) | |||||||
\(374\) | 1.18619 | − | 0.138645i | 0.0613362 | − | 0.00716918i | ||||
\(375\) | −29.5403 | + | 18.3180i | −1.52545 | + | 0.945937i | ||||
\(376\) | −0.631010 | − | 10.8340i | −0.0325418 | − | 0.558722i | ||||
\(377\) | −0.576797 | + | 0.999042i | −0.0297066 | + | 0.0514533i | ||||
\(378\) | 19.4716 | + | 31.0690i | 1.00151 | + | 1.59802i | ||||
\(379\) | −9.06853 | − | 15.7072i | −0.465819 | − | 0.806823i | 0.533419 | − | 0.845851i | \(-0.320907\pi\) |
−0.999238 | + | 0.0390286i | \(0.987574\pi\) | |||||||
\(380\) | 36.1491 | − | 23.7756i | 1.85441 | − | 1.21966i | ||||
\(381\) | −8.50014 | − | 21.2485i | −0.435475 | − | 1.08859i | ||||
\(382\) | 8.44558 | − | 19.5791i | 0.432113 | − | 1.00175i | ||||
\(383\) | 15.0994 | + | 3.57861i | 0.771541 | + | 0.182859i | 0.597488 | − | 0.801878i | \(-0.296166\pi\) |
0.174053 | + | 0.984736i | \(0.444314\pi\) | |||||||
\(384\) | 5.70597 | − | 12.3130i | 0.291182 | − | 0.628345i | ||||
\(385\) | −5.86722 | + | 7.88104i | −0.299021 | + | 0.401655i | ||||
\(386\) | −31.7952 | − | 11.5725i | −1.61833 | − | 0.589025i | ||||
\(387\) | 2.15348 | + | 17.6927i | 0.109467 | + | 0.899369i | ||||
\(388\) | −22.0802 | + | 8.03653i | −1.12095 | + | 0.407993i | ||||
\(389\) | 4.42661 | − | 14.7859i | 0.224438 | − | 0.749675i | −0.769393 | − | 0.638775i | \(-0.779441\pi\) |
0.993832 | − | 0.110900i | \(-0.0353734\pi\) | |||||||
\(390\) | 16.9078 | + | 31.1794i | 0.856159 | + | 1.57883i | ||||
\(391\) | 0.0991778 | − | 1.70282i | 0.00501563 | − | 0.0861151i | ||||
\(392\) | 3.47268 | + | 2.28402i | 0.175397 | + | 0.115360i | ||||
\(393\) | 3.48333 | − | 17.0751i | 0.175711 | − | 0.861324i | ||||
\(394\) | −22.5842 | + | 5.35254i | −1.13777 | + | 0.269657i | ||||
\(395\) | 2.91816 | − | 16.5497i | 0.146828 | − | 0.832705i | ||||
\(396\) | −1.32257 | − | 5.46420i | −0.0664616 | − | 0.274586i | ||||
\(397\) | 0.354695 | + | 2.01157i | 0.0178016 | + | 0.100958i | 0.992414 | − | 0.122941i | \(-0.0392326\pi\) |
−0.974612 | + | 0.223899i | \(0.928121\pi\) | |||||||
\(398\) | −2.94201 | − | 6.82036i | −0.147470 | − | 0.341874i | ||||
\(399\) | 25.0586 | + | 6.65048i | 1.25450 | + | 0.332941i | ||||
\(400\) | 8.21372 | + | 27.4357i | 0.410686 | + | 1.37179i | ||||
\(401\) | 8.93000 | + | 11.9951i | 0.445943 | + | 0.599005i | 0.967081 | − | 0.254467i | \(-0.0819000\pi\) |
−0.521139 | + | 0.853472i | \(0.674493\pi\) | |||||||
\(402\) | −4.68404 | − | 5.23823i | −0.233619 | − | 0.261259i | ||||
\(403\) | −8.75850 | − | 4.39868i | −0.436292 | − | 0.219114i | ||||
\(404\) | −30.4790 | −1.51639 | ||||||||
\(405\) | 29.0877 | − | 19.5309i | 1.44538 | − | 0.970499i | ||||
\(406\) | 3.27415 | 0.162493 | ||||||||
\(407\) | −3.21660 | − | 1.61544i | −0.159441 | − | 0.0800744i | ||||
\(408\) | −1.27475 | + | 0.266383i | −0.0631097 | + | 0.0131879i | ||||
\(409\) | 6.20362 | + | 8.33291i | 0.306749 | + | 0.412036i | 0.928590 | − | 0.371108i | \(-0.121022\pi\) |
−0.621840 | + | 0.783144i | \(0.713615\pi\) | |||||||
\(410\) | 11.5574 | + | 38.6042i | 0.570777 | + | 1.90653i | ||||
\(411\) | 4.28240 | + | 15.8312i | 0.211235 | + | 0.780894i | ||||
\(412\) | 16.3512 | + | 37.9064i | 0.805567 | + | 1.86751i | ||||
\(413\) | 2.40300 | + | 13.6281i | 0.118244 | + | 0.670595i | ||||
\(414\) | −14.4857 | + | 0.912970i | −0.711932 | + | 0.0448700i | ||||
\(415\) | −1.72170 | + | 9.76427i | −0.0845151 | + | 0.479309i | ||||
\(416\) | 19.3121 | − | 4.57705i | 0.946853 | − | 0.224408i | ||||
\(417\) | −13.6150 | − | 12.0583i | −0.666730 | − | 0.590499i | ||||
\(418\) | −6.00350 | − | 3.94856i | −0.293641 | − | 0.193131i | ||||
\(419\) | −0.0308229 | + | 0.529208i | −0.00150580 | + | 0.0258535i | −0.998977 | − | 0.0452132i | \(-0.985603\pi\) |
0.997472 | + | 0.0710667i | \(0.0226403\pi\) | |||||||
\(420\) | 29.1234 | − | 47.4689i | 1.42108 | − | 2.31625i | ||||
\(421\) | 9.19654 | − | 30.7186i | 0.448212 | − | 1.49713i | −0.373717 | − | 0.927543i | \(-0.621917\pi\) |
0.821929 | − | 0.569590i | \(-0.192898\pi\) | |||||||
\(422\) | −15.2765 | + | 5.56019i | −0.743649 | + | 0.270666i | ||||
\(423\) | −23.5988 | − | 22.0528i | −1.14741 | − | 1.07224i | ||||
\(424\) | −10.8984 | − | 3.96668i | −0.529272 | − | 0.192639i | ||||
\(425\) | 4.52334 | − | 6.07590i | 0.219414 | − | 0.294724i | ||||
\(426\) | −14.2442 | − | 20.2401i | −0.690135 | − | 0.980634i | ||||
\(427\) | −0.867198 | − | 0.205530i | −0.0419666 | − | 0.00994628i | ||||
\(428\) | −3.62318 | + | 8.39947i | −0.175133 | + | 0.406004i | ||||
\(429\) | 2.01507 | − | 2.56099i | 0.0972886 | − | 0.123646i | ||||
\(430\) | 40.8835 | − | 26.8895i | 1.97158 | − | 1.29673i | ||||
\(431\) | −2.69146 | − | 4.66175i | −0.129643 | − | 0.224549i | 0.793895 | − | 0.608055i | \(-0.208050\pi\) |
−0.923538 | + | 0.383506i | \(0.874717\pi\) | |||||||
\(432\) | −4.70867 | − | 13.8770i | −0.226546 | − | 0.667657i | ||||
\(433\) | −16.6465 | + | 28.8325i | −0.799978 | + | 1.38560i | 0.119652 | + | 0.992816i | \(0.461822\pi\) |
−0.919630 | + | 0.392787i | \(0.871511\pi\) | |||||||
\(434\) | 1.61743 | + | 27.7703i | 0.0776394 | + | 1.33302i | ||||
\(435\) | −0.0984446 | − | 3.12705i | −0.00472006 | − | 0.149931i | ||||
\(436\) | 42.6489 | − | 4.98494i | 2.04251 | − | 0.238735i | ||||
\(437\) | −7.04280 | + | 7.46493i | −0.336903 | + | 0.357096i | ||||
\(438\) | 23.8478 | + | 16.6139i | 1.13949 | + | 0.793842i | ||||
\(439\) | 18.5556 | + | 2.16884i | 0.885612 | + | 0.103513i | 0.546723 | − | 0.837313i | \(-0.315875\pi\) |
0.338889 | + | 0.940827i | \(0.389949\pi\) | |||||||
\(440\) | −2.27474 | + | 1.90873i | −0.108444 | + | 0.0909953i | ||||
\(441\) | 12.1722 | − | 2.20615i | 0.579631 | − | 0.105055i | ||||
\(442\) | −3.00574 | − | 2.52212i | −0.142968 | − | 0.119965i | ||||
\(443\) | 12.9497 | + | 13.7259i | 0.615260 | + | 0.652138i | 0.957824 | − | 0.287357i | \(-0.0927766\pi\) |
−0.342563 | + | 0.939495i | \(0.611295\pi\) | |||||||
\(444\) | 18.9788 | + | 7.48748i | 0.900692 | + | 0.355340i | ||||
\(445\) | −18.7427 | + | 9.41296i | −0.888491 | + | 0.446217i | ||||
\(446\) | −20.5034 | + | 10.2972i | −0.970862 | + | 0.487585i | ||||
\(447\) | 16.8553 | − | 13.3928i | 0.797229 | − | 0.633460i | ||||
\(448\) | −25.7468 | − | 27.2900i | −1.21642 | − | 1.28933i | ||||
\(449\) | −5.33643 | − | 4.47780i | −0.251842 | − | 0.211320i | 0.508123 | − | 0.861284i | \(-0.330339\pi\) |
−0.759965 | + | 0.649964i | \(0.774784\pi\) | |||||||
\(450\) | −55.9738 | − | 31.9618i | −2.63863 | − | 1.50670i | ||||
\(451\) | 2.83615 | − | 2.37981i | 0.133549 | − | 0.112061i | ||||
\(452\) | 25.3569 | + | 2.96379i | 1.19269 | + | 0.139405i | ||||
\(453\) | 2.67658 | − | 31.4564i | 0.125757 | − | 1.47795i | ||||
\(454\) | −15.7698 | + | 16.7150i | −0.740113 | + | 0.784474i | ||||
\(455\) | 32.0622 | − | 3.74754i | 1.50310 | − | 0.175687i | ||||
\(456\) | 6.90575 | + | 3.70234i | 0.323391 | + | 0.173378i | ||||
\(457\) | −2.18611 | − | 37.5341i | −0.102262 | − | 1.75577i | −0.526459 | − | 0.850201i | \(-0.676481\pi\) |
0.424197 | − | 0.905570i | \(-0.360556\pi\) | |||||||
\(458\) | 2.42197 | − | 4.19498i | 0.113171 | − | 0.196018i | ||||
\(459\) | −2.20037 | + | 3.19076i | −0.102705 | + | 0.148932i | ||||
\(460\) | 11.0226 | + | 19.0917i | 0.513932 | + | 0.890157i | ||||
\(461\) | 23.0904 | − | 15.1868i | 1.07543 | − | 0.707320i | 0.117137 | − | 0.993116i | \(-0.462628\pi\) |
0.958291 | + | 0.285796i | \(0.0922579\pi\) | |||||||
\(462\) | −9.15443 | − | 1.31866i | −0.425903 | − | 0.0613495i | ||||
\(463\) | 9.73063 | − | 22.5581i | 0.452220 | − | 1.04836i | −0.527782 | − | 0.849380i | \(-0.676976\pi\) |
0.980003 | − | 0.198985i | \(-0.0637645\pi\) | |||||||
\(464\) | −1.27327 | − | 0.301771i | −0.0591102 | − | 0.0140094i | ||||
\(465\) | 26.4740 | − | 2.37974i | 1.22770 | − | 0.110358i | ||||
\(466\) | −22.5033 | + | 30.2271i | −1.04244 | + | 1.40025i | ||||
\(467\) | −7.38677 | − | 2.68856i | −0.341819 | − | 0.124412i | 0.165406 | − | 0.986226i | \(-0.447107\pi\) |
−0.507225 | + | 0.861814i | \(0.669329\pi\) | |||||||
\(468\) | −10.0763 | + | 15.4804i | −0.465775 | + | 0.715581i | ||||
\(469\) | −6.00971 | + | 2.18735i | −0.277503 | + | 0.101003i | ||||
\(470\) | −25.4329 | + | 84.9517i | −1.17313 | + | 3.91853i | ||||
\(471\) | 40.4669 | + | 1.08098i | 1.86461 | + | 0.0498090i | ||||
\(472\) | −0.243182 | + | 4.17527i | −0.0111933 | + | 0.192182i | ||||
\(473\) | −3.75620 | − | 2.47049i | −0.172710 | − | 0.113593i | ||||
\(474\) | 15.0044 | − | 5.01163i | 0.689177 | − | 0.230192i | ||||
\(475\) | −44.3473 | + | 10.5105i | −2.03479 | + | 0.482255i | ||||
\(476\) | −1.06981 | + | 6.06719i | −0.0490346 | + | 0.278089i | ||||
\(477\) | −31.6291 | + | 13.8226i | −1.44820 | + | 0.632893i | ||||
\(478\) | 4.50659 | + | 25.5581i | 0.206127 | + | 1.16900i | ||||
\(479\) | −7.01520 | − | 16.2631i | −0.320533 | − | 0.743079i | −0.999956 | − | 0.00933231i | \(-0.997029\pi\) |
0.679424 | − | 0.733746i | \(-0.262230\pi\) | |||||||
\(480\) | −37.9700 | + | 38.1514i | −1.73309 | + | 1.74136i | ||||
\(481\) | 3.39173 | + | 11.3292i | 0.154649 | + | 0.516565i | ||||
\(482\) | −22.1096 | − | 29.6983i | −1.00706 | − | 1.35272i | ||||
\(483\) | −4.12517 | + | 12.5491i | −0.187702 | + | 0.571005i | ||||
\(484\) | −23.0758 | − | 11.5891i | −1.04890 | − | 0.526778i | ||||
\(485\) | 36.9377 | 1.67725 | ||||||||
\(486\) | 29.2146 | + | 15.3061i | 1.32520 | + | 0.694297i | ||||
\(487\) | −42.1146 | −1.90840 | −0.954198 | − | 0.299175i | \(-0.903289\pi\) | ||||
−0.954198 | + | 0.299175i | \(0.903289\pi\) | |||||||
\(488\) | −0.240702 | − | 0.120885i | −0.0108961 | − | 0.00547221i | ||||
\(489\) | −6.34127 | + | 19.2907i | −0.286762 | + | 0.872354i | ||||
\(490\) | −20.2815 | − | 27.2428i | −0.916226 | − | 1.23071i | ||||
\(491\) | 2.08723 | + | 6.97182i | 0.0941952 | + | 0.314634i | 0.992082 | − | 0.125593i | \(-0.0400833\pi\) |
−0.897887 | + | 0.440227i | \(0.854898\pi\) | |||||||
\(492\) | −14.8035 | + | 14.8742i | −0.667393 | + | 0.670581i | ||||
\(493\) | 0.137083 | + | 0.317795i | 0.00617392 | + | 0.0143128i | ||||
\(494\) | 4.09952 | + | 23.2495i | 0.184446 | + | 1.04604i | ||||
\(495\) | −0.984165 | + | 8.78280i | −0.0442349 | + | 0.394757i | ||||
\(496\) | 1.93053 | − | 10.9486i | 0.0866833 | − | 0.491606i | ||||
\(497\) | −21.9180 | + | 5.19467i | −0.983158 | + | 0.233013i | ||||
\(498\) | −8.85258 | + | 2.95685i | −0.396694 | + | 0.132500i | ||||
\(499\) | −13.4764 | − | 8.86359i | −0.603288 | − | 0.396789i | 0.210801 | − | 0.977529i | \(-0.432393\pi\) |
−0.814089 | + | 0.580740i | \(0.802763\pi\) | |||||||
\(500\) | −2.88961 | + | 49.6128i | −0.129228 | + | 2.21875i | ||||
\(501\) | −41.9233 | − | 1.11989i | −1.87300 | − | 0.0500329i | ||||
\(502\) | 11.4202 | − | 38.1462i | 0.509710 | − | 1.70255i | ||||
\(503\) | 34.7114 | − | 12.6339i | 1.54771 | − | 0.563319i | 0.579827 | − | 0.814739i | \(-0.303120\pi\) |
0.967878 | + | 0.251421i | \(0.0808977\pi\) | |||||||
\(504\) | 10.0711 | + | 0.538441i | 0.448605 | + | 0.0239840i | ||||
\(505\) | 45.0235 | + | 16.3872i | 2.00352 | + | 0.729221i | ||||
\(506\) | 2.18631 | − | 2.93672i | 0.0971933 | − | 0.130553i | ||||
\(507\) | 11.7628 | − | 1.05736i | 0.522405 | − | 0.0469589i | ||||
\(508\) | −31.8389 | − | 7.54597i | −1.41262 | − | 0.334798i | ||||
\(509\) | 4.62698 | − | 10.7265i | 0.205087 | − | 0.475445i | −0.784366 | − | 0.620298i | \(-0.787012\pi\) |
0.989453 | + | 0.144853i | \(0.0462709\pi\) | |||||||
\(510\) | 10.5326 | + | 1.51717i | 0.466390 | + | 0.0671815i | ||||
\(511\) | 22.1002 | − | 14.5355i | 0.977656 | − | 0.643015i | ||||
\(512\) | 14.0992 | + | 24.4205i | 0.623101 | + | 1.07924i | ||||
\(513\) | 22.4821 | − | 6.19662i | 0.992610 | − | 0.273588i | ||||
\(514\) | 18.2411 | − | 31.5945i | 0.804580 | − | 1.39357i | ||||
\(515\) | −3.77339 | − | 64.7866i | −0.166276 | − | 2.85484i | ||||
\(516\) | 22.4589 | + | 12.0408i | 0.988699 | + | 0.530065i | ||||
\(517\) | 8.09218 | − | 0.945840i | 0.355894 | − | 0.0415980i | ||||
\(518\) | 23.0334 | − | 24.4140i | 1.01203 | − | 1.07269i | ||||
\(519\) | 2.27796 | − | 26.7716i | 0.0999912 | − | 1.17514i | ||||
\(520\) | 9.69012 | + | 1.13261i | 0.424940 | + | 0.0496683i | ||||
\(521\) | −0.659940 | + | 0.553755i | −0.0289125 | + | 0.0242605i | −0.657129 | − | 0.753778i | \(-0.728229\pi\) |
0.628217 | + | 0.778038i | \(0.283785\pi\) | |||||||
\(522\) | 2.54348 | − | 1.48468i | 0.111325 | − | 0.0649827i | ||||
\(523\) | −6.06895 | − | 5.09246i | −0.265377 | − | 0.222678i | 0.500383 | − | 0.865804i | \(-0.333192\pi\) |
−0.765760 | + | 0.643126i | \(0.777637\pi\) | |||||||
\(524\) | −17.0985 | − | 18.1233i | −0.746951 | − | 0.791721i | ||||
\(525\) | −45.9290 | + | 36.4941i | −2.00451 | + | 1.59273i | ||||
\(526\) | 46.5332 | − | 23.3699i | 2.02894 | − | 1.01897i | ||||
\(527\) | −2.62772 | + | 1.31969i | −0.114465 | + | 0.0574866i | ||||
\(528\) | 3.43850 | + | 1.35655i | 0.149642 | + | 0.0590364i | ||||
\(529\) | 12.1951 | + | 12.9261i | 0.530224 | + | 0.562004i | ||||
\(530\) | 72.5967 | + | 60.9158i | 3.15340 | + | 2.64601i | ||||
\(531\) | 8.04648 | + | 9.49715i | 0.349188 | + | 0.412141i | ||||
\(532\) | 28.3958 | − | 23.8269i | 1.23112 | − | 1.03303i | ||||
\(533\) | −12.0817 | − | 1.41214i | −0.523314 | − | 0.0611667i | ||||
\(534\) | −16.1998 | − | 11.2858i | −0.701034 | − | 0.488385i | ||||
\(535\) | 9.86818 | − | 10.4597i | 0.426639 | − | 0.452211i | ||||
\(536\) | −1.91980 | + | 0.224393i | −0.0829228 | + | 0.00969228i | ||||
\(537\) | 0.391765 | + | 12.4442i | 0.0169059 | + | 0.537009i | ||||
\(538\) | 1.31004 | + | 22.4925i | 0.0564797 | + | 0.969720i | ||||
\(539\) | −1.56020 | + | 2.70235i | −0.0672028 | + | 0.116399i | ||||
\(540\) | 1.09905 | − | 50.0817i | 0.0472956 | − | 2.15518i | ||||
\(541\) | 6.01461 | + | 10.4176i | 0.258588 | + | 0.447888i | 0.965864 | − | 0.259050i | \(-0.0834094\pi\) |
−0.707276 | + | 0.706938i | \(0.750076\pi\) | |||||||
\(542\) | −8.33703 | + | 5.48335i | −0.358106 | + | 0.235530i | ||||
\(543\) | −8.28745 | + | 10.5327i | −0.355649 | + | 0.452000i | ||||
\(544\) | 2.35846 | − | 5.46752i | 0.101118 | − | 0.234418i | ||||
\(545\) | −65.6811 | − | 15.5667i | −2.81347 | − | 0.666804i | ||||
\(546\) | 17.4886 | + | 24.8500i | 0.748441 | + | 1.06348i | ||||
\(547\) | −3.81051 | + | 5.11840i | −0.162926 | + | 0.218847i | −0.876087 | − | 0.482152i | \(-0.839855\pi\) |
0.713162 | + | 0.701000i | \(0.247263\pi\) | |||||||
\(548\) | 22.0342 | + | 8.01980i | 0.941255 | + | 0.342589i | ||||
\(549\) | −0.766869 | + | 0.233573i | −0.0327292 | + | 0.00996864i | ||||
\(550\) | 15.2783 | − | 5.56083i | 0.651467 | − | 0.237115i | ||||
\(551\) | 0.597243 | − | 1.99493i | 0.0254434 | − | 0.0849868i | ||||
\(552\) | −2.08779 | + | 3.40295i | −0.0888624 | + | 0.144839i | ||||
\(553\) | 0.837130 | − | 14.3730i | 0.0355984 | − | 0.611201i | ||||
\(554\) | −11.6873 | − | 7.68684i | −0.496545 | − | 0.326583i | ||||
\(555\) | −24.0097 | − | 21.2645i | −1.01916 | − | 0.902630i | ||||
\(556\) | −25.3023 | + | 5.99677i | −1.07306 | + | 0.254320i | ||||
\(557\) | −6.99671 | + | 39.6803i | −0.296460 | + | 1.68131i | 0.364747 | + | 0.931107i | \(0.381156\pi\) |
−0.661207 | + | 0.750203i | \(0.729956\pi\) | |||||||
\(558\) | 13.8491 | + | 20.8395i | 0.586278 | + | 0.882208i | ||||
\(559\) | 2.56494 | + | 14.5465i | 0.108485 | + | 0.615251i | ||||
\(560\) | 14.5030 | + | 33.6218i | 0.612864 | + | 1.42078i | ||||
\(561\) | −0.255290 | − | 0.943756i | −0.0107784 | − | 0.0398454i | ||||
\(562\) | −1.50257 | − | 5.01892i | −0.0633820 | − | 0.211711i | ||||
\(563\) | −0.946894 | − | 1.27190i | −0.0399068 | − | 0.0536042i | 0.781722 | − | 0.623627i | \(-0.214342\pi\) |
−0.821629 | + | 0.570023i | \(0.806934\pi\) | |||||||
\(564\) | −45.2035 | + | 9.44612i | −1.90341 | + | 0.397753i | ||||
\(565\) | −35.8637 | − | 18.0114i | −1.50880 | − | 0.757745i | ||||
\(566\) | −1.96163 | −0.0824536 | ||||||||
\(567\) | 22.8093 | − | 19.5126i | 0.957899 | − | 0.819454i | ||||
\(568\) | −6.80775 | −0.285647 | ||||||||
\(569\) | 9.86944 | + | 4.95662i | 0.413748 | + | 0.207792i | 0.643482 | − | 0.765461i | \(-0.277489\pi\) |
−0.229733 | + | 0.973254i | \(0.573785\pi\) | |||||||
\(570\) | −42.6783 | − | 47.7278i | −1.78760 | − | 1.99910i | ||||
\(571\) | 4.72230 | + | 6.34315i | 0.197622 | + | 0.265452i | 0.889877 | − | 0.456201i | \(-0.150790\pi\) |
−0.692255 | + | 0.721653i | \(0.743383\pi\) | |||||||
\(572\) | −1.33627 | − | 4.46345i | −0.0558722 | − | 0.186626i | ||||
\(573\) | −16.8718 | − | 4.47773i | −0.704830 | − | 0.187060i | ||||
\(574\) | 13.6742 | + | 31.7002i | 0.570748 | + | 1.32314i | ||||
\(575\) | −4.03238 | − | 22.8688i | −0.168162 | − | 0.953695i | ||||
\(576\) | −32.3758 | − | 9.52483i | −1.34899 | − | 0.396868i | ||||
\(577\) | −8.01656 | + | 45.4642i | −0.333734 | + | 1.89270i | 0.105658 | + | 0.994402i | \(0.466305\pi\) |
−0.439392 | + | 0.898295i | \(0.644806\pi\) | |||||||
\(578\) | 33.8529 | − | 8.02328i | 1.40809 | − | 0.333724i | ||||
\(579\) | −5.53667 | + | 27.1405i | −0.230096 | + | 1.12792i | ||||
\(580\) | −3.73726 | − | 2.45804i | −0.155181 | − | 0.102064i | ||||
\(581\) | −0.493904 | + | 8.48001i | −0.0204906 | + | 0.351810i | ||||
\(582\) | 16.5752 | + | 30.5662i | 0.687066 | + | 1.26701i | ||||
\(583\) | 2.49717 | − | 8.34111i | 0.103422 | − | 0.345454i | ||||
\(584\) | 7.51238 | − | 2.73428i | 0.310865 | − | 0.113145i | ||||
\(585\) | 23.2078 | − | 17.4500i | 0.959523 | − | 0.721470i | ||||
\(586\) | 4.66235 | + | 1.69696i | 0.192600 | + | 0.0701007i | ||||
\(587\) | 21.9518 | − | 29.4864i | 0.906049 | − | 1.21703i | −0.0695732 | − | 0.997577i | \(-0.522164\pi\) |
0.975622 | − | 0.219458i | \(-0.0704288\pi\) | |||||||
\(588\) | 7.43662 | − | 16.0476i | 0.306681 | − | 0.661791i | ||||
\(589\) | 17.2154 | + | 4.08013i | 0.709348 | + | 0.168119i | ||||
\(590\) | 13.5360 | − | 31.3799i | 0.557266 | − | 1.29189i | ||||
\(591\) | 7.05717 | + | 17.6414i | 0.290293 | + | 0.725668i | ||||
\(592\) | −11.2076 | + | 7.37135i | −0.460629 | + | 0.302960i | ||||
\(593\) | −7.17407 | − | 12.4258i | −0.294604 | − | 0.510268i | 0.680289 | − | 0.732944i | \(-0.261854\pi\) |
−0.974893 | + | 0.222676i | \(0.928521\pi\) | |||||||
\(594\) | −7.70945 | + | 3.12675i | −0.316322 | + | 0.128292i | ||||
\(595\) | 4.84238 | − | 8.38725i | 0.198518 | − | 0.343844i | ||||
\(596\) | −1.78972 | − | 30.7283i | −0.0733099 | − | 1.25868i | ||||
\(597\) | −5.16781 | + | 3.20457i | −0.211504 | + | 0.131154i | ||||
\(598\) | −11.9474 | + | 1.39645i | −0.488565 | + | 0.0571051i | ||||
\(599\) | 8.93203 | − | 9.46739i | 0.364953 | − | 0.386827i | −0.518711 | − | 0.854950i | \(-0.673588\pi\) |
0.883664 | + | 0.468122i | \(0.155069\pi\) | |||||||
\(600\) | −16.0505 | + | 7.53106i | −0.655258 | + | 0.307454i | ||||
\(601\) | 6.25526 | + | 0.731135i | 0.255157 | + | 0.0298236i | 0.242710 | − | 0.970099i | \(-0.421964\pi\) |
0.0124474 | + | 0.999923i | \(0.496038\pi\) | |||||||
\(602\) | 32.1148 | − | 26.9476i | 1.30890 | − | 1.09830i | ||||
\(603\) | −3.67669 | + | 4.42435i | −0.149726 | + | 0.180174i | ||||
\(604\) | −34.5775 | − | 29.0140i | −1.40694 | − | 1.18056i | ||||
\(605\) | 27.8566 | + | 29.5263i | 1.13253 | + | 1.20042i | ||||
\(606\) | 6.64311 | + | 44.6107i | 0.269858 | + | 1.81219i | ||||
\(607\) | 11.7509 | − | 5.90153i | 0.476955 | − | 0.239536i | −0.194046 | − | 0.980992i | \(-0.562161\pi\) |
0.671001 | + | 0.741457i | \(0.265865\pi\) | |||||||
\(608\) | −32.0162 | + | 16.0791i | −1.29843 | + | 0.652094i | ||||
\(609\) | −0.394787 | − | 2.65113i | −0.0159976 | − | 0.107429i | ||||
\(610\) | 1.51037 | + | 1.60090i | 0.0611532 | + | 0.0648186i | ||||
\(611\) | −20.5052 | − | 17.2059i | −0.829552 | − | 0.696076i | ||||
\(612\) | 1.92013 | + | 5.19832i | 0.0776168 | + | 0.210130i | ||||
\(613\) | −28.3321 | + | 23.7734i | −1.14432 | + | 0.960200i | −0.999572 | − | 0.0292684i | \(-0.990682\pi\) |
−0.144750 | + | 0.989468i | \(0.546238\pi\) | |||||||
\(614\) | −32.0634 | − | 3.74767i | −1.29397 | − | 0.151244i | ||||
\(615\) | 29.8649 | − | 14.0130i | 1.20427 | − | 0.565057i | ||||
\(616\) | −1.74581 | + | 1.85046i | −0.0703409 | + | 0.0745570i | ||||
\(617\) | −32.2582 | + | 3.77044i | −1.29867 | + | 0.151792i | −0.737181 | − | 0.675695i | \(-0.763844\pi\) |
−0.561484 | + | 0.827487i | \(0.689769\pi\) | |||||||
\(618\) | 51.9181 | − | 32.1945i | 2.08845 | − | 1.29505i | ||||
\(619\) | 2.49564 | + | 42.8485i | 0.100308 | + | 1.72223i | 0.555232 | + | 0.831696i | \(0.312629\pi\) |
−0.454924 | + | 0.890530i | \(0.650333\pi\) | |||||||
\(620\) | 19.0021 | − | 32.9126i | 0.763142 | − | 1.32180i | ||||
\(621\) | 2.48589 | + | 11.6192i | 0.0997551 | + | 0.466262i | ||||
\(622\) | −17.7127 | − | 30.6793i | −0.710215 | − | 1.23013i | ||||
\(623\) | −15.0127 | + | 9.87398i | −0.601470 | + | 0.395593i | ||||
\(624\) | −4.51070 | − | 11.2757i | −0.180572 | − | 0.451391i | ||||
\(625\) | 10.8323 | − | 25.1120i | 0.433290 | − | 1.00448i | ||||
\(626\) | −67.0595 | − | 15.8934i | −2.68024 | − | 0.635228i | ||||
\(627\) | −2.47333 | + | 5.33723i | −0.0987753 | + | 0.213149i | ||||
\(628\) | 34.5627 | − | 46.4258i | 1.37920 | − | 1.85259i | ||||
\(629\) | 3.33404 | + | 1.21349i | 0.132937 | + | 0.0483851i | ||||
\(630\) | −75.8258 | − | 32.2804i | −3.02097 | − | 1.28608i | ||||
\(631\) | 13.0635 | − | 4.75472i | 0.520049 | − | 0.189282i | −0.0686408 | − | 0.997641i | \(-0.521866\pi\) |
0.588690 | + | 0.808359i | \(0.299644\pi\) | |||||||
\(632\) | 1.24796 | − | 4.16848i | 0.0496412 | − | 0.165813i | ||||
\(633\) | 6.34417 | + | 11.6992i | 0.252158 | + | 0.465001i | ||||
\(634\) | 2.66595 | − | 45.7726i | 0.105878 | − | 1.81786i | ||||
\(635\) | 42.9753 | + | 28.2653i | 1.70542 | + | 1.12167i | ||||
\(636\) | −9.86467 | + | 48.3561i | −0.391159 | + | 1.91744i | ||||
\(637\) | 9.97568 | − | 2.36428i | 0.395251 | − | 0.0936761i | ||||
\(638\) | −0.129000 | + | 0.731597i | −0.00510717 | + | 0.0289642i | ||||
\(639\) | −14.6712 | + | 13.9743i | −0.580382 | + | 0.552813i | ||||
\(640\) | 5.29656 | + | 30.0383i | 0.209365 | + | 1.18737i | ||||
\(641\) | −1.03758 | − | 2.40538i | −0.0409819 | − | 0.0950068i | 0.896496 | − | 0.443053i | \(-0.146105\pi\) |
−0.937477 | + | 0.348046i | \(0.886845\pi\) | |||||||
\(642\) | 13.0836 | + | 3.47236i | 0.516370 | + | 0.137043i | ||||
\(643\) | 0.0293991 | + | 0.0981997i | 0.00115939 | + | 0.00387262i | 0.958567 | − | 0.284866i | \(-0.0919492\pi\) |
−0.957408 | + | 0.288739i | \(0.906764\pi\) | |||||||
\(644\) | 11.2784 | + | 15.1495i | 0.444432 | + | 0.596975i | ||||
\(645\) | −26.7025 | − | 29.8618i | −1.05141 | − | 1.17581i | ||||
\(646\) | 6.32951 | + | 3.17880i | 0.249031 | + | 0.125068i | ||||
\(647\) | −25.1564 | −0.988998 | −0.494499 | − | 0.869178i | \(-0.664649\pi\) | ||||
−0.494499 | + | 0.869178i | \(0.664649\pi\) | |||||||
\(648\) | 8.06779 | − | 4.14854i | 0.316933 | − | 0.162970i | ||||
\(649\) | −3.13983 | −0.123249 | ||||||||
\(650\) | −47.7359 | − | 23.9739i | −1.87236 | − | 0.940332i | ||||
\(651\) | 22.2910 | − | 4.65812i | 0.873653 | − | 0.182566i | ||||
\(652\) | 17.3373 | + | 23.2881i | 0.678982 | + | 0.912031i | ||||
\(653\) | 2.13941 | + | 7.14613i | 0.0837217 | + | 0.279650i | 0.989591 | − | 0.143907i | \(-0.0459666\pi\) |
−0.905870 | + | 0.423557i | \(0.860781\pi\) | |||||||
\(654\) | −16.5919 | − | 61.3368i | −0.648793 | − | 2.39846i | ||||
\(655\) | 15.5137 | + | 35.9649i | 0.606172 | + | 1.40526i | ||||
\(656\) | −2.39595 | − | 13.5881i | −0.0935463 | − | 0.530527i | ||||
\(657\) | 10.5770 | − | 21.3132i | 0.412649 | − | 0.831507i | ||||
\(658\) | −13.1924 | + | 74.8181i | −0.514295 | + | 2.91671i | ||||
\(659\) | 15.8217 | − | 3.74981i | 0.616325 | − | 0.146072i | 0.0894175 | − | 0.995994i | \(-0.471499\pi\) |
0.526908 | + | 0.849922i | \(0.323351\pi\) | |||||||
\(660\) | 9.45933 | + | 8.37779i | 0.368204 | + | 0.326105i | ||||
\(661\) | −15.7657 | − | 10.3693i | −0.613214 | − | 0.403318i | 0.204562 | − | 0.978854i | \(-0.434423\pi\) |
−0.817776 | + | 0.575536i | \(0.804793\pi\) | |||||||
\(662\) | 2.92938 | − | 50.2956i | 0.113854 | − | 1.95479i | ||||
\(663\) | −1.67977 | + | 2.73790i | −0.0652370 | + | 0.106331i | ||||
\(664\) | −0.736294 | + | 2.45939i | −0.0285737 | + | 0.0954429i | ||||
\(665\) | −54.7570 | + | 19.9299i | −2.12339 | + | 0.772849i | ||||
\(666\) | 6.82253 | − | 29.4103i | 0.264368 | − | 1.13963i | ||||
\(667\) | 0.997034 | + | 0.362891i | 0.0386053 | + | 0.0140512i | ||||
\(668\) | −35.8067 | + | 48.0967i | −1.38540 | + | 1.86092i | ||||
\(669\) | 10.8100 | + | 15.3603i | 0.417939 | + | 0.593863i | ||||
\(670\) | 15.3682 | + | 3.64233i | 0.593725 | + | 0.140715i | ||||
\(671\) | 0.0800923 | − | 0.185675i | 0.00309193 | − | 0.00716789i | ||||
\(672\) | −28.5155 | + | 36.2409i | −1.10001 | + | 1.39802i | ||||
\(673\) | 6.83522 | − | 4.49560i | 0.263478 | − | 0.173293i | −0.410896 | − | 0.911682i | \(-0.634784\pi\) |
0.674374 | + | 0.738390i | \(0.264414\pi\) | |||||||
\(674\) | −19.4599 | − | 33.7056i | −0.749569 | − | 1.29829i | ||||
\(675\) | −19.1308 | + | 49.1767i | −0.736347 | + | 1.89281i | ||||
\(676\) | 8.44293 | − | 14.6236i | 0.324728 | − | 0.562445i | ||||
\(677\) | 1.34268 | + | 23.0529i | 0.0516033 | + | 0.885995i | 0.920437 | + | 0.390891i | \(0.127833\pi\) |
−0.868834 | + | 0.495104i | \(0.835130\pi\) | |||||||
\(678\) | −1.18874 | − | 37.7597i | −0.0456532 | − | 1.45015i | ||||
\(679\) | 31.4316 | − | 3.67383i | 1.20623 | − | 0.140989i | ||||
\(680\) | 2.00864 | − | 2.12903i | 0.0770277 | − | 0.0816446i | ||||
\(681\) | 15.4359 | + | 10.7536i | 0.591504 | + | 0.412079i | ||||
\(682\) | −6.26891 | − | 0.732730i | −0.240049 | − | 0.0280577i | ||||
\(683\) | −14.3566 | + | 12.0466i | −0.549340 | + | 0.460951i | −0.874717 | − | 0.484633i | \(-0.838953\pi\) |
0.325378 | + | 0.945584i | \(0.394509\pi\) | |||||||
\(684\) | 11.2545 | − | 31.3859i | 0.430325 | − | 1.20007i | ||||
\(685\) | −28.2370 | − | 23.6937i | −1.07888 | − | 0.905289i | ||||
\(686\) | 13.9292 | + | 14.7641i | 0.531818 | + | 0.563694i | ||||
\(687\) | −3.68877 | − | 1.45529i | −0.140736 | − | 0.0555228i | ||||
\(688\) | −14.9727 | + | 7.51959i | −0.570830 | + | 0.286682i | ||||
\(689\) | −25.5635 | + | 12.8385i | −0.973892 | + | 0.489107i | ||||
\(690\) | 25.5413 | − | 20.2945i | 0.972340 | − | 0.772599i | ||||
\(691\) | 4.56302 | + | 4.83652i | 0.173586 | + | 0.183990i | 0.808325 | − | 0.588736i | \(-0.200374\pi\) |
−0.634740 | + | 0.772726i | \(0.718893\pi\) | |||||||
\(692\) | −29.4279 | − | 24.6929i | −1.11868 | − | 0.938684i | ||||
\(693\) | 0.0360770 | + | 7.57149i | 0.00137045 | + | 0.287617i | ||||
\(694\) | 27.4089 | − | 22.9988i | 1.04043 | − | 0.873023i | ||||
\(695\) | 40.6008 | + | 4.74555i | 1.54008 | + | 0.180009i | ||||
\(696\) | 0.0686804 | − | 0.807164i | 0.00260332 | − | 0.0305955i | ||||
\(697\) | −2.50437 | + | 2.65448i | −0.0948598 | + | 0.100546i | ||||
\(698\) | 17.1630 | − | 2.00607i | 0.649629 | − | 0.0759307i | ||||
\(699\) | 27.1888 | + | 14.5766i | 1.02837 | + | 0.551336i | ||||
\(700\) | 4.87681 | + | 83.7316i | 0.184326 | + | 3.16476i | ||||
\(701\) | 12.1477 | − | 21.0405i | 0.458813 | − | 0.794687i | −0.540086 | − | 0.841610i | \(-0.681608\pi\) |
0.998899 | + | 0.0469230i | \(0.0149415\pi\) | |||||||
\(702\) | 24.8541 | + | 11.3741i | 0.938059 | + | 0.429289i | ||||
\(703\) | −10.6738 | − | 18.4876i | −0.402571 | − | 0.697274i | ||||
\(704\) | 7.11227 | − | 4.67782i | 0.268054 | − | 0.176302i | ||||
\(705\) | 71.8534 | + | 10.3502i | 2.70615 | + | 0.389810i | ||||
\(706\) | −20.6271 | + | 47.8190i | −0.776311 | + | 1.79969i | ||||
\(707\) | 39.9420 | + | 9.46643i | 1.50217 | + | 0.356022i | ||||
\(708\) | 17.7256 | − | 1.59335i | 0.666168 | − | 0.0598818i | ||||
\(709\) | 17.8682 | − | 24.0012i | 0.671054 | − | 0.901382i | −0.328008 | − | 0.944675i | \(-0.606377\pi\) |
0.999062 | + | 0.0432925i | \(0.0137847\pi\) | |||||||
\(710\) | 52.2729 | + | 19.0258i | 1.96177 | + | 0.714024i | ||||
\(711\) | −5.86719 | − | 11.5450i | −0.220037 | − | 0.432973i | ||||
\(712\) | −5.10315 | + | 1.85740i | −0.191249 | + | 0.0696089i | ||||
\(713\) | −2.58539 | + | 8.63580i | −0.0968236 | + | 0.323413i | ||||
\(714\) | 9.11345 | + | 0.243445i | 0.341062 | + | 0.00911071i | ||||
\(715\) | −0.425867 | + | 7.31185i | −0.0159265 | + | 0.273448i | ||||
\(716\) | 14.8726 | + | 9.78188i | 0.555816 | + | 0.365566i | ||||
\(717\) | 20.1514 | − | 6.73078i | 0.752569 | − | 0.251365i | ||||
\(718\) | 26.0331 | − | 6.16995i | 0.971546 | − | 0.230261i | ||||
\(719\) | −2.12889 | + | 12.0735i | −0.0793943 | + | 0.450267i | 0.919032 | + | 0.394183i | \(0.128973\pi\) |
−0.998426 | + | 0.0560838i | \(0.982139\pi\) | |||||||
\(720\) | 26.5125 | + | 19.5421i | 0.988061 | + | 0.728292i | ||||
\(721\) | −9.65461 | − | 54.7540i | −0.359556 | − | 2.03915i | ||||
\(722\) | −0.957314 | − | 2.21930i | −0.0356275 | − | 0.0825939i | ||||
\(723\) | −21.3813 | + | 21.4834i | −0.795178 | + | 0.798976i | ||||
\(724\) | 5.49571 | + | 18.3570i | 0.204247 | + | 0.682231i | ||||
\(725\) | 2.81372 | + | 3.77948i | 0.104499 | + | 0.140366i | ||||
\(726\) | −11.9329 | + | 36.3010i | −0.442873 | + | 1.34726i | ||||
\(727\) | −43.8058 | − | 22.0001i | −1.62467 | − | 0.815938i | −0.999368 | − | 0.0355521i | \(-0.988681\pi\) |
−0.625298 | − | 0.780386i | \(-0.715023\pi\) | |||||||
\(728\) | 8.35832 | 0.309780 | ||||||||
\(729\) | 8.87094 | − | 25.5011i | 0.328553 | − | 0.944485i | ||||
\(730\) | −65.3249 | −2.41778 | ||||||||
\(731\) | 3.96018 | + | 1.98888i | 0.146472 | + | 0.0735612i | ||||
\(732\) | −0.357929 | + | 1.08885i | −0.0132294 | + | 0.0402450i | ||||
\(733\) | −12.0622 | − | 16.2024i | −0.445528 | − | 0.598448i | 0.521458 | − | 0.853277i | \(-0.325388\pi\) |
−0.966986 | + | 0.254829i | \(0.917981\pi\) | |||||||
\(734\) | −6.36791 | − | 21.2703i | −0.235044 | − | 0.785101i | ||||
\(735\) | −19.6135 | + | 19.7071i | −0.723453 | + | 0.726908i | ||||
\(736\) | −7.23020 | − | 16.7615i | −0.266509 | − | 0.617837i | ||||
\(737\) | −0.251977 | − | 1.42903i | −0.00928168 | − | 0.0526390i | ||||
\(738\) | 24.9972 | + | 18.4253i | 0.920161 | + | 0.678244i | ||||
\(739\) | 0.349401 | − | 1.98155i | 0.0128529 | − | 0.0728925i | −0.977707 | − | 0.209975i | \(-0.932662\pi\) |
0.990560 | + | 0.137083i | \(0.0437727\pi\) | |||||||
\(740\) | −44.6200 | + | 10.5751i | −1.64027 | + | 0.388750i | ||||
\(741\) | 18.3312 | − | 6.12280i | 0.673413 | − | 0.224927i | ||||
\(742\) | 67.8338 | + | 44.6150i | 2.49026 | + | 1.63787i | ||||
\(743\) | −1.25430 | + | 21.5356i | −0.0460160 | + | 0.790064i | 0.893818 | + | 0.448431i | \(0.148017\pi\) |
−0.939834 | + | 0.341633i | \(0.889020\pi\) | |||||||
\(744\) | 6.88004 | + | 0.183785i | 0.252235 | + | 0.00673789i | ||||
\(745\) | −13.8775 | + | 46.3541i | −0.508433 | + | 1.69828i | ||||
\(746\) | 23.4531 | − | 8.53624i | 0.858680 | − | 0.312534i | ||||
\(747\) | 3.46163 | + | 6.81154i | 0.126654 | + | 0.249221i | ||||
\(748\) | −1.31354 | − | 0.478091i | −0.0480279 | − | 0.0174807i | ||||
\(749\) | 7.35687 | − | 9.88200i | 0.268814 | − | 0.361080i | ||||
\(750\) | 73.2458 | − | 6.58405i | 2.67456 | − | 0.240416i | ||||
\(751\) | −14.0873 | − | 3.33875i | −0.514053 | − | 0.121833i | −0.0346015 | − | 0.999401i | \(-0.511016\pi\) |
−0.479451 | + | 0.877568i | \(0.659164\pi\) | |||||||
\(752\) | 12.0262 | − | 27.8798i | 0.438550 | − | 1.01667i | ||||
\(753\) | −32.2646 | − | 4.64758i | −1.17579 | − | 0.169367i | ||||
\(754\) | 2.03919 | − | 1.34120i | 0.0742631 | − | 0.0488436i | ||||
\(755\) | 35.4783 | + | 61.4503i | 1.29119 | + | 2.23640i | ||||
\(756\) | −4.04592 | − | 42.7257i | −0.147149 | − | 1.55392i | ||||
\(757\) | −5.26451 | + | 9.11840i | −0.191342 | + | 0.331414i | −0.945695 | − | 0.325055i | \(-0.894617\pi\) |
0.754353 | + | 0.656469i | \(0.227951\pi\) | |||||||
\(758\) | 2.23123 | + | 38.3087i | 0.0810418 | + | 1.39143i | ||||
\(759\) | −2.64153 | − | 1.41619i | −0.0958814 | − | 0.0514044i | ||||
\(760\) | −17.4921 | + | 2.04454i | −0.634506 | + | 0.0741632i | ||||
\(761\) | 29.0111 | − | 30.7500i | 1.05165 | − | 1.11469i | 0.0584483 | − | 0.998290i | \(-0.481385\pi\) |
0.993203 | − | 0.116395i | \(-0.0371338\pi\) | |||||||
\(762\) | −4.10518 | + | 48.2459i | −0.148715 | + | 1.74777i | ||||
\(763\) | −57.4387 | − | 6.71362i | −2.07942 | − | 0.243049i | ||||
\(764\) | −19.1188 | + | 16.0425i | −0.691693 | + | 0.580399i | ||||
\(765\) | −0.0415082 | − | 8.71133i | −0.00150073 | − | 0.314959i | ||||
\(766\) | −25.1504 | − | 21.1037i | −0.908721 | − | 0.762507i | ||||
\(767\) | 7.07916 | + | 7.50347i | 0.255614 | + | 0.270935i | ||||
\(768\) | 8.02983 | − | 6.38031i | 0.289751 | − | 0.230230i | ||||
\(769\) | −8.05989 | + | 4.04783i | −0.290647 | + | 0.145968i | −0.588149 | − | 0.808753i | \(-0.700143\pi\) |
0.297501 | + | 0.954721i | \(0.403847\pi\) | |||||||
\(770\) | 18.5766 | − | 9.32953i | 0.669455 | − | 0.336213i | ||||
\(771\) | −27.7820 | − | 10.9605i | −1.00054 | − | 0.394734i | ||||
\(772\) | 27.1777 | + | 28.8066i | 0.978145 | + | 1.03677i | ||||
\(773\) | 0.551231 | + | 0.462537i | 0.0198264 | + | 0.0166363i | 0.652647 | − | 0.757662i | \(-0.273658\pi\) |
−0.632821 | + | 0.774298i | \(0.718103\pi\) | |||||||
\(774\) | 12.7285 | − | 35.4965i | 0.457515 | − | 1.27590i | ||||
\(775\) | −30.6663 | + | 25.7321i | −1.10157 | + | 0.924325i | ||||
\(776\) | 9.49953 | + | 1.11034i | 0.341013 | + | 0.0398587i | ||||
\(777\) | −22.5457 | − | 15.7068i | −0.808823 | − | 0.563477i | ||||
\(778\) | −22.4094 | + | 23.7526i | −0.803415 | + | 0.851570i | ||||
\(779\) | 21.8092 | − | 2.54913i | 0.781396 | − | 0.0913321i | ||||
\(780\) | −1.30631 | − | 41.4944i | −0.0467734 | − | 1.48574i | ||||
\(781\) | −0.297168 | − | 5.10218i | −0.0106335 | − | 0.182570i | ||||
\(782\) | −1.80442 | + | 3.12535i | −0.0645261 | + | 0.111762i | ||||
\(783\) | −1.50885 | − | 1.88047i | −0.0539220 | − | 0.0672026i | ||||
\(784\) | 5.81453 | + | 10.0711i | 0.207662 | + | 0.359681i | ||||
\(785\) | −76.0171 | + | 49.9972i | −2.71317 | + | 1.78448i | ||||
\(786\) | −22.7996 | + | 28.9764i | −0.813234 | + | 1.03355i | ||||
\(787\) | 6.11050 | − | 14.1657i | 0.217816 | − | 0.504953i | −0.773915 | − | 0.633289i | \(-0.781704\pi\) |
0.991731 | + | 0.128336i | \(0.0409636\pi\) | |||||||
\(788\) | 26.4340 | + | 6.26497i | 0.941672 | + | 0.223180i | ||||
\(789\) | −24.5338 | − | 34.8608i | −0.873425 | − | 1.24108i | ||||
\(790\) | −21.2321 | + | 28.5197i | −0.755405 | + | 1.01469i | ||||
\(791\) | −32.3091 | − | 11.7595i | −1.14878 | − | 0.418121i | ||||
\(792\) | −0.517113 | + | 2.22915i | −0.0183748 | + | 0.0792094i | ||||
\(793\) | −0.624297 | + | 0.227226i | −0.0221695 | + | 0.00806902i | ||||
\(794\) | 1.23946 | − | 4.14010i | 0.0439869 | − | 0.146927i | ||||
\(795\) | 40.5710 | − | 66.1277i | 1.43891 | − | 2.34531i | ||||
\(796\) | −0.505513 | + | 8.67932i | −0.0179174 | + | 0.307630i | ||||
\(797\) | −11.6388 | − | 7.65494i | −0.412266 | − | 0.271152i | 0.326389 | − | 0.945236i | \(-0.394168\pi\) |
−0.738655 | + | 0.674084i | \(0.764539\pi\) | |||||||
\(798\) | −41.0635 | − | 36.3685i | −1.45363 | − | 1.28743i | ||||
\(799\) | −7.81433 | + | 1.85203i | −0.276451 | + | 0.0655201i | ||||
\(800\) | 14.0768 | − | 79.8335i | 0.497690 | − | 2.82254i | ||||
\(801\) | −7.18497 | + | 14.4780i | −0.253868 | + | 0.511557i | ||||
\(802\) | −5.49411 | − | 31.1586i | −0.194004 | − | 1.10025i | ||||
\(803\) | 2.37718 | + | 5.51092i | 0.0838888 | + | 0.194476i | ||||
\(804\) | 2.14769 | + | 7.93957i | 0.0757431 | + | 0.280007i | ||||
\(805\) | −8.51521 | − | 28.4428i | −0.300122 | − | 1.00248i | ||||
\(806\) | 12.3830 | + | 16.6333i | 0.436173 | + | 0.585881i | ||||
\(807\) | 18.0546 | − | 3.77283i | 0.635550 | − | 0.132810i | ||||
\(808\) | 11.0864 | + | 5.56781i | 0.390019 | + | 0.195875i | ||||
\(809\) | −40.8781 | −1.43720 | −0.718599 | − | 0.695424i | \(-0.755216\pi\) | ||||
−0.718599 | + | 0.695424i | \(0.755216\pi\) | |||||||
\(810\) | −73.5420 | + | 9.30704i | −2.58400 | + | 0.327016i | ||||
\(811\) | 51.1039 | 1.79450 | 0.897250 | − | 0.441524i | \(-0.145562\pi\) | ||||
0.897250 | + | 0.441524i | \(0.145562\pi\) | |||||||
\(812\) | −3.42465 | − | 1.71992i | −0.120182 | − | 0.0603575i | ||||
\(813\) | 5.44521 | + | 6.08945i | 0.190972 | + | 0.213566i | ||||
\(814\) | 4.54772 | + | 6.10865i | 0.159398 | + | 0.214108i | ||||
\(815\) | −13.0897 | − | 43.7226i | −0.458512 | − | 1.53154i | ||||
\(816\) | −3.52166 | − | 0.934640i | −0.123283 | − | 0.0327189i | ||||
\(817\) | −10.5610 | − | 24.4830i | −0.369481 | − | 0.856553i | ||||
\(818\) | −3.81673 | − | 21.6457i | −0.133449 | − | 0.756825i | ||||
\(819\) | 18.0127 | − | 17.1571i | 0.629416 | − | 0.599518i | ||||
\(820\) | 8.19037 | − | 46.4499i | 0.286020 | − | 1.62210i | ||||
\(821\) | −47.2620 | + | 11.2013i | −1.64946 | + | 0.390928i | −0.947110 | − | 0.320908i | \(-0.896012\pi\) |
−0.702345 | + | 0.711836i | \(0.747864\pi\) | |||||||
\(822\) | 6.93571 | − | 33.9985i | 0.241911 | − | 1.18583i | ||||
\(823\) | −22.5809 | − | 14.8517i | −0.787119 | − | 0.517696i | 0.0911649 | − | 0.995836i | \(-0.470941\pi\) |
−0.878284 | + | 0.478139i | \(0.841311\pi\) | |||||||
\(824\) | 0.977036 | − | 16.7751i | 0.0340367 | − | 0.584387i | ||||
\(825\) | −6.34490 | − | 11.7005i | −0.220901 | − | 0.407360i | ||||
\(826\) | 8.39718 | − | 28.0485i | 0.292175 | − | 0.975934i | ||||
\(827\) | −14.9793 | + | 5.45201i | −0.520880 | + | 0.189585i | −0.589062 | − | 0.808088i | \(-0.700503\pi\) |
0.0681816 | + | 0.997673i | \(0.478280\pi\) | |||||||
\(828\) | 15.6311 | + | 6.65445i | 0.543219 | + | 0.231258i | ||||
\(829\) | 1.59698 | + | 0.581253i | 0.0554654 | + | 0.0201877i | 0.369604 | − | 0.929189i | \(-0.379493\pi\) |
−0.314138 | + | 0.949377i | \(0.601716\pi\) | |||||||
\(830\) | 12.5269 | − | 16.8265i | 0.434815 | − | 0.584058i | ||||
\(831\) | −4.81494 | + | 10.3902i | −0.167028 | + | 0.360433i | ||||
\(832\) | −27.2144 | − | 6.44994i | −0.943490 | − | 0.223611i | ||||
\(833\) | 1.21826 | − | 2.82425i | 0.0422103 | − | 0.0978545i | ||||
\(834\) | 14.2920 | + | 35.7269i | 0.494892 | + | 1.23712i | ||||
\(835\) | 78.7531 | − | 51.7967i | 2.72536 | − | 1.79250i | ||||
\(836\) | 4.20527 | + | 7.28373i | 0.145442 | + | 0.251913i | ||||
\(837\) | 15.2042 | − | 13.7266i | 0.525534 | − | 0.474460i | ||||
\(838\) | 0.560786 | − | 0.971310i | 0.0193720 | − | 0.0335534i | ||||
\(839\) | 2.69510 | + | 46.2731i | 0.0930453 | + | 1.59753i | 0.645353 | + | 0.763885i | \(0.276710\pi\) |
−0.552307 | + | 0.833641i | \(0.686253\pi\) | |||||||
\(840\) | −19.2648 | + | 11.9462i | −0.664699 | + | 0.412182i | ||||
\(841\) | 28.5901 | − | 3.34170i | 0.985865 | − | 0.115231i | ||||
\(842\) | −46.5568 | + | 49.3473i | −1.60445 | + | 1.70062i | ||||
\(843\) | −3.88273 | + | 1.82182i | −0.133728 | + | 0.0627468i | ||||
\(844\) | 18.8995 | + | 2.20904i | 0.650548 | + | 0.0760382i | ||||
\(845\) | −20.3343 | + | 17.0625i | −0.699523 | + | 0.586969i | ||||
\(846\) | 23.6783 | + | 64.1036i | 0.814077 | + | 2.20393i | ||||
\(847\) | 26.6409 | + | 22.3544i | 0.915393 | + | 0.768106i | ||||
\(848\) | −22.2676 | − | 23.6023i | −0.764673 | − | 0.810506i | ||||
\(849\) | 0.236528 | + | 1.58837i | 0.00811762 | + | 0.0545126i | ||||
\(850\) | −14.3217 | + | 7.19262i | −0.491229 | + | 0.246705i | ||||
\(851\) | 9.72001 | − | 4.88157i | 0.333198 | − | 0.167338i | ||||
\(852\) | 4.26680 | + | 28.6530i | 0.146178 | + | 0.981635i | ||||
\(853\) | 16.6035 | + | 17.5986i | 0.568492 | + | 0.602566i | 0.946289 | − | 0.323322i | \(-0.104800\pi\) |
−0.377797 | + | 0.925888i | \(0.623318\pi\) | |||||||
\(854\) | 1.44446 | + | 1.21204i | 0.0494283 | + | 0.0414753i | ||||
\(855\) | −33.4999 | + | 40.3122i | −1.14567 | + | 1.37865i | ||||
\(856\) | 2.85228 | − | 2.39335i | 0.0974891 | − | 0.0818031i | ||||
\(857\) | 12.7419 | + | 1.48931i | 0.435254 | + | 0.0508739i | 0.330899 | − | 0.943666i | \(-0.392648\pi\) |
0.104355 | + | 0.994540i | \(0.466722\pi\) | |||||||
\(858\) | −6.24170 | + | 2.92868i | −0.213088 | + | 0.0999834i | ||||
\(859\) | −14.0817 | + | 14.9257i | −0.480461 | + | 0.509259i | −0.921579 | − | 0.388190i | \(-0.873100\pi\) |
0.441118 | + | 0.897449i | \(0.354582\pi\) | |||||||
\(860\) | −56.8880 | + | 6.64926i | −1.93987 | + | 0.226738i | ||||
\(861\) | 24.0194 | − | 14.8945i | 0.818579 | − | 0.507603i | ||||
\(862\) | 0.662209 | + | 11.3697i | 0.0225549 | + | 0.387253i | ||||
\(863\) | 18.5110 | − | 32.0620i | 0.630121 | − | 1.09140i | −0.357405 | − | 0.933949i | \(-0.616338\pi\) |
0.987527 | − | 0.157453i | \(-0.0503282\pi\) | |||||||
\(864\) | −5.71826 | + | 41.0838i | −0.194539 | + | 1.39770i | ||||
\(865\) | 30.1945 | + | 52.2984i | 1.02664 | + | 1.77820i | ||||
\(866\) | 58.8515 | − | 38.7072i | 1.99986 | − | 1.31533i | ||||
\(867\) | −10.5785 | − | 26.4438i | −0.359263 | − | 0.898078i | ||||
\(868\) | 12.8961 | − | 29.8965i | 0.437721 | − | 1.01475i | ||||
\(869\) | 3.17861 | + | 0.753344i | 0.107827 | + | 0.0255555i | ||||
\(870\) | −2.78316 | + | 6.00581i | −0.0943579 | + | 0.203616i | ||||
\(871\) | −2.84694 | + | 3.82410i | −0.0964648 | + | 0.129575i | ||||
\(872\) | −16.4237 | − | 5.97775i | −0.556178 | − | 0.202432i | ||||
\(873\) | 22.7513 | − | 17.1068i | 0.770015 | − | 0.578978i | ||||
\(874\) | 20.4042 | − | 7.42652i | 0.690182 | − | 0.251206i | ||||
\(875\) | 19.1959 | − | 64.1189i | 0.648941 | − | 2.16762i | ||||
\(876\) | −16.2167 | − | 29.9049i | −0.547911 | − | 1.01039i | ||||
\(877\) | −2.52161 | + | 43.2944i | −0.0851488 | + | 1.46195i | 0.637349 | + | 0.770575i | \(0.280031\pi\) |
−0.722498 | + | 0.691373i | \(0.757006\pi\) | |||||||
\(878\) | −33.0239 | − | 21.7201i | −1.11450 | − | 0.733019i | ||||
\(879\) | 0.811880 | − | 3.97979i | 0.0273840 | − | 0.134235i | ||||
\(880\) | −8.08409 | + | 1.91596i | −0.272515 | + | 0.0645872i | ||||
\(881\) | 1.78531 | − | 10.1250i | 0.0601486 | − | 0.341120i | −0.939851 | − | 0.341584i | \(-0.889037\pi\) |
1.00000 | 0.000464198i | \(0.000147759\pi\) | ||||||||
\(882\) | −25.1090 | − | 7.38697i | −0.845464 | − | 0.248732i | ||||
\(883\) | 1.36337 | + | 7.73205i | 0.0458810 | + | 0.260204i | 0.999117 | − | 0.0420240i | \(-0.0133806\pi\) |
−0.953236 | + | 0.302228i | \(0.902269\pi\) | |||||||
\(884\) | 1.81903 | + | 4.21698i | 0.0611805 | + | 0.141832i | ||||
\(885\) | −27.0409 | − | 7.17658i | −0.908970 | − | 0.241238i | ||||
\(886\) | −11.4507 | − | 38.2481i | −0.384695 | − | 1.28497i | ||||
\(887\) | −20.8967 | − | 28.0692i | −0.701643 | − | 0.942471i | 0.298284 | − | 0.954477i | \(-0.403586\pi\) |
−0.999928 | + | 0.0120063i | \(0.996178\pi\) | |||||||
\(888\) | −5.53554 | − | 6.19048i | −0.185761 | − | 0.207739i | ||||
\(889\) | 39.3805 | + | 19.7776i | 1.32078 | + | 0.663321i | ||||
\(890\) | 44.3751 | 1.48746 | ||||||||
\(891\) | 3.46136 | + | 5.86545i | 0.115960 | + | 0.196500i | ||||
\(892\) | 26.8550 | 0.899172 | ||||||||
\(893\) | 43.1800 | + | 21.6858i | 1.44496 | + | 0.725688i | ||||
\(894\) | −44.5856 | + | 9.31700i | −1.49117 | + | 0.311607i | ||||
\(895\) | −16.7105 | − | 22.4461i | −0.558571 | − | 0.750292i | ||||
\(896\) | 7.49465 | + | 25.0339i | 0.250379 | + | 0.836323i | ||||
\(897\) | 2.57131 | + | 9.50562i | 0.0858535 | + | 0.317383i | ||||
\(898\) | 5.83774 | + | 13.5334i | 0.194808 | + | 0.451616i | ||||
\(899\) | −0.317622 | − | 1.80133i | −0.0105933 | − | 0.0600776i | ||||
\(900\) | 41.7570 | + | 62.8343i | 1.39190 | + | 2.09448i | ||||
\(901\) | −1.49032 | + | 8.45204i | −0.0496498 | + | 0.281578i | ||||
\(902\) | −7.62207 | + | 1.80646i | −0.253787 | + | 0.0601487i | ||||
\(903\) | −25.6922 | − | 22.7546i | −0.854982 | − | 0.757227i | ||||
\(904\) | −8.68189 | − | 5.71017i | −0.288755 | − | 0.189917i | ||||
\(905\) | 1.75148 | − | 30.0717i | 0.0582210 | − | 0.999616i | ||||
\(906\) | −34.9301 | + | 56.9334i | −1.16047 | + | 1.89149i | ||||
\(907\) | 14.4087 | − | 48.1283i | 0.478432 | − | 1.59807i | −0.289257 | − | 0.957251i | \(-0.593408\pi\) |
0.767689 | − | 0.640822i | \(-0.221407\pi\) | |||||||
\(908\) | 25.2752 | − | 9.19941i | 0.838786 | − | 0.305293i | ||||
\(909\) | 35.3210 | − | 10.7581i | 1.17152 | − | 0.356822i | ||||
\(910\) | −64.1788 | − | 23.3592i | −2.12751 | − | 0.774349i | ||||
\(911\) | −14.7268 | + | 19.7816i | −0.487922 | + | 0.655393i | −0.976093 | − | 0.217355i | \(-0.930257\pi\) |
0.488170 | + | 0.872748i | \(0.337664\pi\) | |||||||
\(912\) | 12.6171 | + | 17.9280i | 0.417793 | + | 0.593654i | ||||
\(913\) | −1.87537 | − | 0.444471i | −0.0620657 | − | 0.0147098i | ||||
\(914\) | −31.5072 | + | 73.0418i | −1.04216 | + | 2.41601i | ||||
\(915\) | 1.11416 | − | 1.41601i | 0.0368330 | − | 0.0468117i | ||||
\(916\) | −4.73694 | + | 3.11554i | −0.156513 | + | 0.102940i | ||||
\(917\) | 16.7783 | + | 29.0608i | 0.554067 | + | 0.959672i | ||||
\(918\) | 7.19005 | − | 3.94343i | 0.237307 | − | 0.130152i | ||||
\(919\) | −4.12738 | + | 7.14883i | −0.136150 | + | 0.235818i | −0.926036 | − | 0.377435i | \(-0.876806\pi\) |
0.789886 | + | 0.613253i | \(0.210139\pi\) | |||||||
\(920\) | −0.521745 | − | 8.95801i | −0.0172014 | − | 0.295337i | ||||
\(921\) | 0.831559 | + | 26.4141i | 0.0274008 | + | 0.870374i | ||||
\(922\) | −58.0779 | + | 6.78833i | −1.91269 | + | 0.223562i | ||||
\(923\) | −11.5230 | + | 12.2137i | −0.379285 | + | 0.402018i | ||||
\(924\) | 8.88254 | + | 6.18813i | 0.292214 | + | 0.203575i | ||||
\(925\) | 47.9764 | + | 5.60763i | 1.57745 | + | 0.184378i | ||||
\(926\) | −39.8178 | + | 33.4111i | −1.30849 | + | 1.09796i | ||||
\(927\) | −32.3286 | − | 38.1570i | −1.06181 | − | 1.25324i | ||||
\(928\) | 2.83740 | + | 2.38086i | 0.0931422 | + | 0.0781556i | ||||
\(929\) | 6.73053 | + | 7.13394i | 0.220821 | + | 0.234057i | 0.828308 | − | 0.560273i | \(-0.189304\pi\) |
−0.607487 | + | 0.794330i | \(0.707822\pi\) | |||||||
\(930\) | −52.3143 | − | 20.6390i | −1.71545 | − | 0.676779i | ||||
\(931\) | −16.5380 | + | 8.30568i | −0.542010 | + | 0.272208i | ||||
\(932\) | 39.4161 | − | 19.7955i | 1.29112 | − | 0.648424i | ||||
\(933\) | −22.7058 | + | 18.0415i | −0.743354 | + | 0.590652i | ||||
\(934\) | 11.4133 | + | 12.0974i | 0.373455 | + | 0.395839i | ||||
\(935\) | 1.68332 | + | 1.41247i | 0.0550503 | + | 0.0461927i | ||||
\(936\) | 6.49305 | − | 3.79013i | 0.212232 | − | 0.123884i | ||||
\(937\) | 33.8490 | − | 28.4027i | 1.10580 | − | 0.927875i | 0.107997 | − | 0.994151i | \(-0.465556\pi\) |
0.997801 | + | 0.0662763i | \(0.0211119\pi\) | |||||||
\(938\) | 13.4396 | + | 1.57086i | 0.438819 | + | 0.0512905i | ||||
\(939\) | −4.78330 | + | 56.2155i | −0.156097 | + | 1.83452i | ||||
\(940\) | 71.2275 | − | 75.4967i | 2.32318 | − | 2.46243i | ||||
\(941\) | 10.5684 | − | 1.23526i | 0.344519 | − | 0.0402684i | 0.0579256 | − | 0.998321i | \(-0.481551\pi\) |
0.286593 | + | 0.958052i | \(0.407477\pi\) | |||||||
\(942\) | −75.4846 | − | 40.4691i | −2.45942 | − | 1.31855i | ||||
\(943\) | 0.650512 | + | 11.1689i | 0.0211836 | + | 0.363708i | ||||
\(944\) | −5.85073 | + | 10.1338i | −0.190425 | + | 0.329826i | ||||
\(945\) | −16.9951 | + | 65.2896i | −0.552851 | + | 2.12387i | ||||
\(946\) | 4.75603 | + | 8.23768i | 0.154632 | + | 0.267830i | ||||
\(947\) | 9.18551 | − | 6.04140i | 0.298489 | − | 0.196319i | −0.391426 | − | 0.920209i | \(-0.628018\pi\) |
0.689915 | + | 0.723890i | \(0.257648\pi\) | |||||||
\(948\) | −18.3268 | − | 2.63990i | −0.595226 | − | 0.0857398i | ||||
\(949\) | 7.81015 | − | 18.1060i | 0.253528 | − | 0.587745i | ||||
\(950\) | 93.8280 | + | 22.2376i | 3.04418 | + | 0.721485i | ||||
\(951\) | −37.3843 | + | 3.36046i | −1.21227 | + | 0.108971i | ||||
\(952\) | 1.49747 | − | 2.01145i | 0.0485332 | − | 0.0651914i | ||||
\(953\) | 39.7723 | + | 14.4759i | 1.28835 | + | 0.468921i | 0.893185 | − | 0.449689i | \(-0.148465\pi\) |
0.395165 | + | 0.918610i | \(0.370687\pi\) | |||||||
\(954\) | 72.9267 | + | 3.89893i | 2.36109 | + | 0.126233i | ||||
\(955\) | 36.8676 | − | 13.4187i | 1.19301 | − | 0.434219i | ||||
\(956\) | 8.71206 | − | 29.1003i | 0.281768 | − | 0.941171i | ||||
\(957\) | 0.607940 | + | 0.0162398i | 0.0196519 | + | 0.000524957i | ||||
\(958\) | −2.17888 | + | 37.4100i | −0.0703965 | + | 1.20866i | ||||
\(959\) | −26.3845 | − | 17.3533i | −0.851999 | − | 0.560369i | ||||
\(960\) | 71.9442 | − | 24.0301i | 2.32199 | − | 0.775568i | ||||
\(961\) | −15.0430 | + | 3.56526i | −0.485259 | + | 0.115008i | ||||
\(962\) | 4.34483 | − | 24.6407i | 0.140083 | − | 0.794449i | ||||
\(963\) | 1.23404 | − | 11.0127i | 0.0397664 | − | 0.354880i | ||||
\(964\) | 7.52523 | + | 42.6777i | 0.242371 | + | 1.37456i | ||||
\(965\) | −24.6587 | − | 57.1654i | −0.793793 | − | 1.84022i | ||||
\(966\) | 19.7155 | − | 19.8097i | 0.634336 | − | 0.637366i | ||||
\(967\) | 2.38375 | + | 7.96226i | 0.0766561 | + | 0.256049i | 0.987724 | − | 0.156206i | \(-0.0499264\pi\) |
−0.911068 | + | 0.412255i | \(0.864741\pi\) | |||||||
\(968\) | 6.27654 | + | 8.43085i | 0.201736 | + | 0.270978i | ||||
\(969\) | 1.81073 | − | 5.50839i | 0.0581690 | − | 0.176955i | ||||
\(970\) | −69.8384 | − | 35.0742i | −2.24238 | − | 1.12616i | ||||
\(971\) | −17.9539 | −0.576169 | −0.288084 | − | 0.957605i | \(-0.593018\pi\) | ||||
−0.288084 | + | 0.957605i | \(0.593018\pi\) | |||||||
\(972\) | −22.5172 | − | 31.3562i | −0.722240 | − | 1.00575i | ||||
\(973\) | 35.0207 | 1.12271 | ||||||||
\(974\) | 79.6265 | + | 39.9899i | 2.55140 | + | 1.28136i | ||||
\(975\) | −13.6562 | + | 41.5432i | −0.437347 | + | 1.33045i | ||||
\(976\) | −0.450019 | − | 0.604480i | −0.0144048 | − | 0.0193489i | ||||
\(977\) | 7.00093 | + | 23.3847i | 0.223979 | + | 0.748144i | 0.993927 | + | 0.110037i | \(0.0350969\pi\) |
−0.769948 | + | 0.638107i | \(0.779718\pi\) | |||||||
\(978\) | 30.3069 | − | 30.4517i | 0.969109 | − | 0.973737i | ||||
\(979\) | −1.61482 | − | 3.74356i | −0.0516097 | − | 0.119645i | ||||
\(980\) | 6.90304 | + | 39.1491i | 0.220509 | + | 1.25057i | ||||
\(981\) | −47.6648 | + | 20.8305i | −1.52182 | + | 0.665067i | ||||
\(982\) | 2.67375 | − | 15.1636i | 0.0853228 | − | 0.483890i | ||||
\(983\) | 45.3567 | − | 10.7497i | 1.44665 | − | 0.342863i | 0.569071 | − | 0.822288i | \(-0.307303\pi\) |
0.877583 | + | 0.479425i | \(0.159155\pi\) | |||||||
\(984\) | 8.10179 | − | 2.70608i | 0.258276 | − | 0.0862667i | ||||
\(985\) | −35.6799 | − | 23.4670i | −1.13686 | − | 0.747722i | ||||
\(986\) | 0.0425773 | − | 0.731025i | 0.00135594 | − | 0.0232806i | ||||
\(987\) | 62.1721 | + | 1.66079i | 1.97896 | + | 0.0528635i | ||||
\(988\) | 7.92511 | − | 26.4717i | 0.252131 | − | 0.842177i | ||||
\(989\) | 12.7663 | − | 4.64654i | 0.405944 | − | 0.147751i | ||||
\(990\) | 10.2005 | − | 15.6712i | 0.324192 | − | 0.498063i | ||||
\(991\) | −55.3339 | − | 20.1399i | −1.75774 | − | 0.639765i | −0.757820 | − | 0.652464i | \(-0.773735\pi\) |
−0.999919 | + | 0.0126995i | \(0.995958\pi\) | |||||||
\(992\) | −18.7920 | + | 25.2421i | −0.596648 | + | 0.801437i | ||||
\(993\) | −41.0783 | + | 3.69252i | −1.30358 | + | 0.117179i | ||||
\(994\) | 46.3732 | + | 10.9906i | 1.47087 | + | 0.348602i | ||||
\(995\) | 5.41324 | − | 12.5493i | 0.171611 | − | 0.397839i | ||||
\(996\) | 10.8128 | + | 1.55753i | 0.342615 | + | 0.0493523i | ||||
\(997\) | −50.3721 | + | 33.1302i | −1.59530 | + | 1.04925i | −0.634154 | + | 0.773207i | \(0.718651\pi\) |
−0.961147 | + | 0.276038i | \(0.910978\pi\) | |||||||
\(998\) | 17.0636 | + | 29.5550i | 0.540138 | + | 0.935547i | ||||
\(999\) | −24.6366 | − | 1.97810i | −0.779469 | − | 0.0625844i |
(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 | 81.2.g.a.13.2 | ✓ | 144 | |
3.2 | odd | 2 | 243.2.g.a.10.7 | 144 | |||
9.2 | odd | 6 | 729.2.g.a.514.2 | 144 | |||
9.4 | even | 3 | 729.2.g.c.28.7 | 144 | |||
9.5 | odd | 6 | 729.2.g.b.28.2 | 144 | |||
9.7 | even | 3 | 729.2.g.d.514.7 | 144 | |||
81.2 | odd | 54 | 729.2.g.b.703.2 | 144 | |||
81.5 | odd | 54 | 6561.2.a.d.1.61 | 72 | |||
81.25 | even | 27 | inner | 81.2.g.a.25.2 | yes | 144 | |
81.29 | odd | 54 | 729.2.g.a.217.2 | 144 | |||
81.52 | even | 27 | 729.2.g.d.217.7 | 144 | |||
81.56 | odd | 54 | 243.2.g.a.73.7 | 144 | |||
81.76 | even | 27 | 6561.2.a.c.1.12 | 72 | |||
81.79 | even | 27 | 729.2.g.c.703.7 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.13.2 | ✓ | 144 | 1.1 | even | 1 | trivial | |
81.2.g.a.25.2 | yes | 144 | 81.25 | even | 27 | inner | |
243.2.g.a.10.7 | 144 | 3.2 | odd | 2 | |||
243.2.g.a.73.7 | 144 | 81.56 | odd | 54 | |||
729.2.g.a.217.2 | 144 | 81.29 | odd | 54 | |||
729.2.g.a.514.2 | 144 | 9.2 | odd | 6 | |||
729.2.g.b.28.2 | 144 | 9.5 | odd | 6 | |||
729.2.g.b.703.2 | 144 | 81.2 | odd | 54 | |||
729.2.g.c.28.7 | 144 | 9.4 | even | 3 | |||
729.2.g.c.703.7 | 144 | 81.79 | even | 27 | |||
729.2.g.d.217.7 | 144 | 81.52 | even | 27 | |||
729.2.g.d.514.7 | 144 | 9.7 | even | 3 | |||
6561.2.a.c.1.12 | 72 | 81.76 | even | 27 | |||
6561.2.a.d.1.61 | 72 | 81.5 | odd | 54 |