Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(4,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 44, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.y (of order \(33\), degree \(20\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 340.5 | ||
Character | \(\chi\) | \(=\) | 483.340 |
Dual form | 483.2.y.b.331.5 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{6}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.356781 | − | 1.47067i | −0.252282 | − | 1.03992i | −0.947152 | − | 0.320786i | \(-0.896053\pi\) |
0.694869 | − | 0.719136i | \(-0.255462\pi\) | |||||||
\(3\) | −0.327068 | − | 0.945001i | −0.188833 | − | 0.545596i | ||||
\(4\) | −0.257912 | + | 0.132963i | −0.128956 | + | 0.0664814i | ||||
\(5\) | −2.60174 | + | 1.04158i | −1.16353 | + | 0.465809i | −0.871402 | − | 0.490570i | \(-0.836789\pi\) |
−0.292131 | + | 0.956378i | \(0.594364\pi\) | |||||||
\(6\) | −1.27309 | + | 0.818168i | −0.519739 | + | 0.334016i | ||||
\(7\) | −1.21008 | + | 2.35281i | −0.457366 | + | 0.889279i | ||||
\(8\) | −1.69448 | − | 1.95553i | −0.599089 | − | 0.691385i | ||||
\(9\) | −0.786053 | + | 0.618159i | −0.262018 | + | 0.206053i | ||||
\(10\) | 2.46007 | + | 3.45469i | 0.777943 | + | 1.09247i | ||||
\(11\) | 0.502644 | − | 2.07193i | 0.151553 | − | 0.624709i | −0.844469 | − | 0.535604i | \(-0.820084\pi\) |
0.996022 | − | 0.0891054i | \(-0.0284008\pi\) | |||||||
\(12\) | 0.210005 | + | 0.200239i | 0.0606231 | + | 0.0578040i | ||||
\(13\) | −0.526237 | + | 1.15230i | −0.145952 | + | 0.319590i | −0.968462 | − | 0.249160i | \(-0.919846\pi\) |
0.822510 | + | 0.568750i | \(0.192573\pi\) | |||||||
\(14\) | 3.89194 | + | 0.940185i | 1.04017 | + | 0.251275i | ||||
\(15\) | 1.83524 | + | 2.11798i | 0.473857 | + | 0.546860i | ||||
\(16\) | −2.60802 | + | 3.66245i | −0.652004 | + | 0.915612i | ||||
\(17\) | 0.0871720 | + | 1.82996i | 0.0211423 | + | 0.443832i | 0.984475 | + | 0.175523i | \(0.0561617\pi\) |
−0.963333 | + | 0.268309i | \(0.913535\pi\) | |||||||
\(18\) | 1.18956 | + | 0.935479i | 0.280381 | + | 0.220494i | ||||
\(19\) | −0.325233 | + | 6.82747i | −0.0746135 | + | 1.56633i | 0.582685 | + | 0.812698i | \(0.302002\pi\) |
−0.657298 | + | 0.753631i | \(0.728301\pi\) | |||||||
\(20\) | 0.532528 | − | 0.614570i | 0.119077 | − | 0.137422i | ||||
\(21\) | 2.61918 | + | 0.373993i | 0.571553 | + | 0.0816120i | ||||
\(22\) | −3.22646 | −0.687883 | ||||||||
\(23\) | 4.76909 | + | 0.505765i | 0.994424 | + | 0.105459i | ||||
\(24\) | −1.29377 | + | 2.24088i | −0.264090 | + | 0.457417i | ||||
\(25\) | 2.06549 | − | 1.96944i | 0.413098 | − | 0.393889i | ||||
\(26\) | 1.88240 | + | 0.362804i | 0.369170 | + | 0.0711517i | ||||
\(27\) | 0.841254 | + | 0.540641i | 0.161899 | + | 0.104046i | ||||
\(28\) | −0.000743475 | − | 0.767712i | −0.000140504 | − | 0.145084i | ||||
\(29\) | −6.31168 | + | 4.05627i | −1.17205 | + | 0.753231i | −0.973908 | − | 0.226942i | \(-0.927127\pi\) |
−0.198142 | + | 0.980173i | \(0.563491\pi\) | |||||||
\(30\) | 2.46007 | − | 3.45469i | 0.449146 | − | 0.630737i | ||||
\(31\) | −4.86378 | + | 0.937417i | −0.873561 | + | 0.168365i | −0.606278 | − | 0.795253i | \(-0.707338\pi\) |
−0.267283 | + | 0.963618i | \(0.586126\pi\) | |||||||
\(32\) | 1.51237 | + | 0.605461i | 0.267352 | + | 0.107031i | ||||
\(33\) | −2.12237 | + | 0.202662i | −0.369457 | + | 0.0352789i | ||||
\(34\) | 2.66018 | − | 0.781098i | 0.456216 | − | 0.133957i | ||||
\(35\) | 0.697662 | − | 7.38179i | 0.117926 | − | 1.24775i | ||||
\(36\) | 0.120540 | − | 0.263946i | 0.0200900 | − | 0.0439910i | ||||
\(37\) | 6.22977 | − | 4.89915i | 1.02417 | − | 0.805415i | 0.0430986 | − | 0.999071i | \(-0.486277\pi\) |
0.981069 | + | 0.193656i | \(0.0620346\pi\) | |||||||
\(38\) | 10.1570 | − | 1.95760i | 1.64768 | − | 0.317565i | ||||
\(39\) | 1.26104 | + | 0.120415i | 0.201928 | + | 0.0192818i | ||||
\(40\) | 6.44543 | + | 3.32285i | 1.01911 | + | 0.525389i | ||||
\(41\) | −0.570516 | + | 3.96802i | −0.0890996 | + | 0.619701i | 0.895524 | + | 0.445013i | \(0.146801\pi\) |
−0.984624 | + | 0.174688i | \(0.944108\pi\) | |||||||
\(42\) | −0.384454 | − | 3.98539i | −0.0593226 | − | 0.614960i | ||||
\(43\) | −2.40572 | + | 2.77634i | −0.366868 | + | 0.423389i | −0.908929 | − | 0.416951i | \(-0.863099\pi\) |
0.542061 | + | 0.840339i | \(0.317644\pi\) | |||||||
\(44\) | 0.145851 | + | 0.601207i | 0.0219879 | + | 0.0906353i | ||||
\(45\) | 1.40124 | − | 2.42703i | 0.208885 | − | 0.361800i | ||||
\(46\) | −0.957706 | − | 7.19421i | −0.141206 | − | 1.06073i | ||||
\(47\) | −5.93354 | − | 10.2772i | −0.865496 | − | 1.49908i | −0.866554 | − | 0.499084i | \(-0.833670\pi\) |
0.00105773 | − | 0.999999i | \(-0.499663\pi\) | |||||||
\(48\) | 4.31401 | + | 1.26671i | 0.622674 | + | 0.182834i | ||||
\(49\) | −4.07143 | − | 5.69416i | −0.581634 | − | 0.813451i | ||||
\(50\) | −3.63333 | − | 2.33500i | −0.513831 | − | 0.330219i | ||||
\(51\) | 1.70081 | − | 0.680900i | 0.238161 | − | 0.0953451i | ||||
\(52\) | −0.0174900 | − | 0.367161i | −0.00242543 | − | 0.0509161i | ||||
\(53\) | −10.2735 | − | 0.980999i | −1.41117 | − | 0.134751i | −0.638532 | − | 0.769595i | \(-0.720458\pi\) |
−0.772640 | + | 0.634845i | \(0.781064\pi\) | |||||||
\(54\) | 0.494962 | − | 1.43010i | 0.0673558 | − | 0.194612i | ||||
\(55\) | 0.850327 | + | 5.91416i | 0.114658 | + | 0.797465i | ||||
\(56\) | 6.65144 | − | 1.62044i | 0.888837 | − | 0.216541i | ||||
\(57\) | 6.55834 | − | 1.92570i | 0.868673 | − | 0.255065i | ||||
\(58\) | 8.21733 | + | 7.83521i | 1.07899 | + | 1.02881i | ||||
\(59\) | 5.34769 | + | 7.50977i | 0.696209 | + | 0.977689i | 0.999691 | + | 0.0248520i | \(0.00791146\pi\) |
−0.303482 | + | 0.952837i | \(0.598149\pi\) | |||||||
\(60\) | −0.754942 | − | 0.302233i | −0.0974626 | − | 0.0390181i | ||||
\(61\) | −0.324726 | + | 0.938234i | −0.0415769 | + | 0.120129i | −0.963878 | − | 0.266342i | \(-0.914185\pi\) |
0.922302 | + | 0.386471i | \(0.126306\pi\) | |||||||
\(62\) | 3.11394 | + | 6.81857i | 0.395471 | + | 0.865960i | ||||
\(63\) | −0.503227 | − | 2.59745i | −0.0634007 | − | 0.327248i | ||||
\(64\) | −0.928885 | + | 6.46053i | −0.116111 | + | 0.807567i | ||||
\(65\) | 0.168922 | − | 3.54610i | 0.0209521 | − | 0.439840i | ||||
\(66\) | 1.05527 | + | 3.04900i | 0.129895 | + | 0.375306i | ||||
\(67\) | −1.72332 | + | 1.64319i | −0.210538 | + | 0.200747i | −0.788009 | − | 0.615664i | \(-0.788888\pi\) |
0.577471 | + | 0.816411i | \(0.304040\pi\) | |||||||
\(68\) | −0.265800 | − | 0.460379i | −0.0322330 | − | 0.0558291i | ||||
\(69\) | −1.08187 | − | 4.67221i | −0.130242 | − | 0.562468i | ||||
\(70\) | −11.1051 | + | 1.60765i | −1.32731 | + | 0.192151i | ||||
\(71\) | −11.1392 | − | 3.27078i | −1.32199 | − | 0.388170i | −0.456776 | − | 0.889582i | \(-0.650996\pi\) |
−0.865209 | + | 0.501412i | \(0.832814\pi\) | |||||||
\(72\) | 2.54078 | + | 0.489695i | 0.299434 | + | 0.0577111i | ||||
\(73\) | −2.50157 | + | 1.28965i | −0.292787 | + | 0.150942i | −0.598362 | − | 0.801226i | \(-0.704182\pi\) |
0.305575 | + | 0.952168i | \(0.401151\pi\) | |||||||
\(74\) | −9.42770 | − | 7.41403i | −1.09595 | − | 0.861863i | ||||
\(75\) | −2.53668 | − | 1.30775i | −0.292911 | − | 0.151006i | ||||
\(76\) | −0.823918 | − | 1.80413i | −0.0945099 | − | 0.206948i | ||||
\(77\) | 4.26661 | + | 3.68981i | 0.486226 | + | 0.420493i | ||||
\(78\) | −0.272824 | − | 1.89754i | −0.0308913 | − | 0.214854i | ||||
\(79\) | −0.377582 | + | 0.0360547i | −0.0424813 | + | 0.00405647i | −0.116275 | − | 0.993217i | \(-0.537095\pi\) |
0.0737938 | + | 0.997274i | \(0.476489\pi\) | |||||||
\(80\) | 2.97065 | − | 12.2452i | 0.332129 | − | 1.36905i | ||||
\(81\) | 0.235759 | − | 0.971812i | 0.0261954 | − | 0.107979i | ||||
\(82\) | 6.03921 | − | 0.576675i | 0.666919 | − | 0.0636831i | ||||
\(83\) | 0.292112 | + | 2.03169i | 0.0320635 | + | 0.223006i | 0.999553 | − | 0.0299058i | \(-0.00952072\pi\) |
−0.967489 | + | 0.252912i | \(0.918612\pi\) | |||||||
\(84\) | −0.725246 | + | 0.251797i | −0.0791308 | + | 0.0274733i | ||||
\(85\) | −2.13285 | − | 4.67030i | −0.231340 | − | 0.506565i | ||||
\(86\) | 4.94141 | + | 2.54747i | 0.532845 | + | 0.274701i | ||||
\(87\) | 5.89753 | + | 4.63787i | 0.632282 | + | 0.497232i | ||||
\(88\) | −4.90344 | + | 2.52790i | −0.522708 | + | 0.269475i | ||||
\(89\) | 6.95170 | + | 1.33983i | 0.736879 | + | 0.142022i | 0.543863 | − | 0.839174i | \(-0.316961\pi\) |
0.193016 | + | 0.981196i | \(0.438173\pi\) | |||||||
\(90\) | −4.06930 | − | 1.19485i | −0.428941 | − | 0.125949i | ||||
\(91\) | −2.07435 | − | 2.63251i | −0.217451 | − | 0.275962i | ||||
\(92\) | −1.29725 | + | 0.503668i | −0.135248 | + | 0.0525110i | ||||
\(93\) | 2.47665 | + | 4.28968i | 0.256816 | + | 0.444819i | ||||
\(94\) | −12.9974 | + | 12.3930i | −1.34058 | + | 1.27824i | ||||
\(95\) | −6.26518 | − | 18.1021i | −0.642794 | − | 1.85723i | ||||
\(96\) | 0.0775139 | − | 1.62722i | 0.00791123 | − | 0.166077i | ||||
\(97\) | 0.884602 | − | 6.15254i | 0.0898178 | − | 0.624696i | −0.894338 | − | 0.447391i | \(-0.852353\pi\) |
0.984156 | − | 0.177305i | \(-0.0567378\pi\) | |||||||
\(98\) | −6.92162 | + | 8.01931i | −0.699190 | + | 0.810073i | ||||
\(99\) | 0.885675 | + | 1.93936i | 0.0890137 | + | 0.194913i | ||||
\(100\) | −0.270852 | + | 0.782576i | −0.0270852 | + | 0.0782576i | ||||
\(101\) | −10.1072 | − | 4.04630i | −1.00570 | − | 0.402622i | −0.190430 | − | 0.981701i | \(-0.560988\pi\) |
−0.815272 | + | 0.579079i | \(0.803412\pi\) | |||||||
\(102\) | −1.60820 | − | 2.25840i | −0.159235 | − | 0.223615i | ||||
\(103\) | 2.30052 | + | 2.19355i | 0.226677 | + | 0.216137i | 0.794903 | − | 0.606736i | \(-0.207522\pi\) |
−0.568226 | + | 0.822873i | \(0.692370\pi\) | |||||||
\(104\) | 3.14506 | − | 0.923472i | 0.308398 | − | 0.0905538i | ||||
\(105\) | −7.20398 | + | 1.75506i | −0.703037 | + | 0.171276i | ||||
\(106\) | 2.22266 | + | 15.4589i | 0.215884 | + | 1.50150i | ||||
\(107\) | −5.09416 | + | 14.7186i | −0.492471 | + | 1.42290i | 0.375748 | + | 0.926722i | \(0.377386\pi\) |
−0.868219 | + | 0.496181i | \(0.834735\pi\) | |||||||
\(108\) | −0.288854 | − | 0.0275822i | −0.0277950 | − | 0.00265410i | ||||
\(109\) | −0.294898 | − | 6.19067i | −0.0282461 | − | 0.592958i | −0.967976 | − | 0.251041i | \(-0.919227\pi\) |
0.939730 | − | 0.341917i | \(-0.111076\pi\) | |||||||
\(110\) | 8.39440 | − | 3.36061i | 0.800375 | − | 0.320422i | ||||
\(111\) | −6.66726 | − | 4.28478i | −0.632828 | − | 0.406694i | ||||
\(112\) | −5.46115 | − | 10.5680i | −0.516030 | − | 0.998583i | ||||
\(113\) | −6.51134 | − | 1.91190i | −0.612535 | − | 0.179857i | −0.0392730 | − | 0.999229i | \(-0.512504\pi\) |
−0.573262 | + | 0.819372i | \(0.694322\pi\) | |||||||
\(114\) | −5.17197 | − | 8.95811i | −0.484399 | − | 0.839004i | ||||
\(115\) | −12.9347 | + | 3.65151i | −1.20617 | + | 0.340506i | ||||
\(116\) | 1.08852 | − | 1.88538i | 0.101067 | − | 0.175053i | ||||
\(117\) | −0.298653 | − | 1.23107i | −0.0276105 | − | 0.113812i | ||||
\(118\) | 9.13646 | − | 10.5440i | 0.841079 | − | 0.970657i | ||||
\(119\) | −4.41105 | − | 2.00930i | −0.404360 | − | 0.184192i | ||||
\(120\) | 1.03200 | − | 7.17774i | 0.0942086 | − | 0.655235i | ||||
\(121\) | 5.73696 | + | 2.95761i | 0.521542 | + | 0.268874i | ||||
\(122\) | 1.49569 | + | 0.142821i | 0.135413 | + | 0.0129304i | ||||
\(123\) | 3.93638 | − | 0.758676i | 0.354932 | − | 0.0684075i | ||||
\(124\) | 1.12978 | − | 0.888473i | 0.101458 | − | 0.0797872i | ||||
\(125\) | 2.49844 | − | 5.47081i | 0.223467 | − | 0.489324i | ||||
\(126\) | −3.64046 | + | 1.66680i | −0.324318 | + | 0.148491i | ||||
\(127\) | 4.60508 | − | 1.35217i | 0.408634 | − | 0.119986i | −0.0709537 | − | 0.997480i | \(-0.522604\pi\) |
0.479588 | + | 0.877494i | \(0.340786\pi\) | |||||||
\(128\) | 13.0761 | − | 1.24862i | 1.15578 | − | 0.110363i | ||||
\(129\) | 3.41048 | + | 1.36535i | 0.300276 | + | 0.120212i | ||||
\(130\) | −5.27542 | + | 1.01675i | −0.462685 | + | 0.0891752i | ||||
\(131\) | −10.7201 | + | 15.0543i | −0.936623 | + | 1.31530i | 0.0123423 | + | 0.999924i | \(0.496071\pi\) |
−0.948966 | + | 0.315380i | \(0.897868\pi\) | |||||||
\(132\) | 0.520438 | − | 0.334465i | 0.0452983 | − | 0.0291114i | ||||
\(133\) | −15.6702 | − | 9.02697i | −1.35878 | − | 0.782737i | ||||
\(134\) | 3.03144 | + | 1.94819i | 0.261876 | + | 0.168298i | ||||
\(135\) | −2.75184 | − | 0.530374i | −0.236841 | − | 0.0456474i | ||||
\(136\) | 3.43084 | − | 3.27130i | 0.294192 | − | 0.280512i | ||||
\(137\) | 7.30662 | − | 12.6554i | 0.624246 | − | 1.08123i | −0.364440 | − | 0.931227i | \(-0.618739\pi\) |
0.988686 | − | 0.150000i | \(-0.0479272\pi\) | |||||||
\(138\) | −6.48530 | + | 3.25803i | −0.552065 | + | 0.277342i | ||||
\(139\) | −9.31938 | −0.790460 | −0.395230 | − | 0.918582i | \(-0.629335\pi\) | ||||
−0.395230 | + | 0.918582i | \(0.629335\pi\) | |||||||
\(140\) | 0.801568 | + | 1.99661i | 0.0677448 | + | 0.168745i | ||||
\(141\) | −7.77129 | + | 8.96854i | −0.654460 | + | 0.755288i | ||||
\(142\) | −0.835968 | + | 17.5491i | −0.0701529 | + | 1.47269i | ||||
\(143\) | 2.12297 | + | 1.66952i | 0.177531 | + | 0.139612i | ||||
\(144\) | −0.213935 | − | 4.49105i | −0.0178279 | − | 0.374254i | ||||
\(145\) | 12.1964 | − | 17.1275i | 1.01286 | − | 1.42236i | ||||
\(146\) | 2.78917 | + | 3.21887i | 0.230833 | + | 0.266396i | ||||
\(147\) | −4.04935 | + | 5.70989i | −0.333984 | + | 0.470943i | ||||
\(148\) | −0.955327 | + | 2.09187i | −0.0785274 | + | 0.171951i | ||||
\(149\) | 6.55157 | + | 6.24691i | 0.536725 | + | 0.511767i | 0.909247 | − | 0.416257i | \(-0.136658\pi\) |
−0.372522 | + | 0.928023i | \(0.621507\pi\) | |||||||
\(150\) | −1.01823 | + | 4.19721i | −0.0831382 | + | 0.342700i | ||||
\(151\) | −9.13760 | − | 12.8320i | −0.743607 | − | 1.04425i | −0.997039 | − | 0.0768973i | \(-0.975499\pi\) |
0.253432 | − | 0.967353i | \(-0.418441\pi\) | |||||||
\(152\) | 13.9024 | − | 10.9330i | 1.12764 | − | 0.886783i | ||||
\(153\) | −1.19973 | − | 1.38456i | −0.0969925 | − | 0.111935i | ||||
\(154\) | 3.90426 | − | 7.59124i | 0.314614 | − | 0.611720i | ||||
\(155\) | 11.6779 | − | 7.50493i | 0.937992 | − | 0.602811i | ||||
\(156\) | −0.341247 | + | 0.136615i | −0.0273216 | + | 0.0109379i | ||||
\(157\) | −7.08310 | + | 3.65159i | −0.565293 | + | 0.291429i | −0.717087 | − | 0.696983i | \(-0.754525\pi\) |
0.151795 | + | 0.988412i | \(0.451495\pi\) | |||||||
\(158\) | 0.187739 | + | 0.542435i | 0.0149357 | + | 0.0431538i | ||||
\(159\) | 2.43308 | + | 10.0293i | 0.192956 | + | 0.795376i | ||||
\(160\) | −4.56543 | −0.360929 | ||||||||
\(161\) | −6.96093 | + | 10.6087i | −0.548598 | + | 0.836086i | ||||
\(162\) | −1.51333 | −0.118898 | ||||||||
\(163\) | −5.27455 | − | 21.7420i | −0.413135 | − | 1.70296i | −0.674964 | − | 0.737851i | \(-0.735841\pi\) |
0.261829 | − | 0.965114i | \(-0.415674\pi\) | |||||||
\(164\) | −0.380457 | − | 1.09926i | −0.0297087 | − | 0.0858376i | ||||
\(165\) | 5.31077 | − | 2.73789i | 0.413443 | − | 0.213145i | ||||
\(166\) | 2.88372 | − | 1.15447i | 0.223820 | − | 0.0896041i | ||||
\(167\) | −8.43599 | + | 5.42148i | −0.652796 | + | 0.419527i | −0.824687 | − | 0.565589i | \(-0.808649\pi\) |
0.171891 | + | 0.985116i | \(0.445012\pi\) | |||||||
\(168\) | −3.70680 | − | 5.75562i | −0.285986 | − | 0.444056i | ||||
\(169\) | 7.46232 | + | 8.61198i | 0.574025 | + | 0.662460i | ||||
\(170\) | −6.10751 | + | 4.80300i | −0.468425 | + | 0.368373i | ||||
\(171\) | −3.96481 | − | 5.56780i | −0.303197 | − | 0.425780i | ||||
\(172\) | 0.251312 | − | 1.03592i | 0.0191624 | − | 0.0789883i | ||||
\(173\) | 16.6391 | + | 15.8654i | 1.26505 | + | 1.20622i | 0.967884 | + | 0.251396i | \(0.0808896\pi\) |
0.297165 | + | 0.954826i | \(0.403959\pi\) | |||||||
\(174\) | 4.71666 | − | 10.3280i | 0.357569 | − | 0.782966i | ||||
\(175\) | 2.13432 | + | 7.24289i | 0.161340 | + | 0.547511i | ||||
\(176\) | 6.27741 | + | 7.24452i | 0.473178 | + | 0.546076i | ||||
\(177\) | 5.34769 | − | 7.50977i | 0.401957 | − | 0.564469i | ||||
\(178\) | −0.509785 | − | 10.7017i | −0.0382100 | − | 0.802126i | ||||
\(179\) | 10.4764 | + | 8.23870i | 0.783040 | + | 0.615789i | 0.927544 | − | 0.373715i | \(-0.121916\pi\) |
−0.144504 | + | 0.989504i | \(0.546159\pi\) | |||||||
\(180\) | −0.0386933 | + | 0.812271i | −0.00288403 | + | 0.0605431i | ||||
\(181\) | −10.8135 | + | 12.4795i | −0.803764 | + | 0.927594i | −0.998581 | − | 0.0532461i | \(-0.983043\pi\) |
0.194817 | + | 0.980840i | \(0.437589\pi\) | |||||||
\(182\) | −3.13146 | + | 3.98992i | −0.232119 | + | 0.295753i | ||||
\(183\) | 0.992839 | 0.0733928 | ||||||||
\(184\) | −7.09208 | − | 10.1831i | −0.522835 | − | 0.750709i | ||||
\(185\) | −11.1054 | + | 19.2351i | −0.816485 | + | 1.41419i | ||||
\(186\) | 5.42509 | − | 5.17281i | 0.397787 | − | 0.379289i | ||||
\(187\) | 3.83537 | + | 0.739207i | 0.280470 | + | 0.0540561i | ||||
\(188\) | 2.89681 | + | 1.86167i | 0.211272 | + | 0.135776i | ||||
\(189\) | −2.29001 | + | 1.32509i | −0.166573 | + | 0.0963864i | ||||
\(190\) | −24.3869 | + | 15.6725i | −1.76921 | + | 1.13700i | ||||
\(191\) | −4.31508 | + | 6.05968i | −0.312228 | + | 0.438463i | −0.940634 | − | 0.339423i | \(-0.889768\pi\) |
0.628406 | + | 0.777886i | \(0.283708\pi\) | |||||||
\(192\) | 6.40902 | − | 1.23524i | 0.462531 | − | 0.0891456i | ||||
\(193\) | 20.9507 | + | 8.38739i | 1.50806 | + | 0.603738i | 0.970846 | − | 0.239706i | \(-0.0770510\pi\) |
0.537218 | + | 0.843443i | \(0.319475\pi\) | |||||||
\(194\) | −9.36398 | + | 0.894152i | −0.672295 | + | 0.0641964i | ||||
\(195\) | −3.40632 | + | 1.00018i | −0.243931 | + | 0.0716247i | ||||
\(196\) | 1.80718 | + | 0.927241i | 0.129084 | + | 0.0662315i | ||||
\(197\) | 9.11794 | − | 19.9655i | 0.649627 | − | 1.42248i | −0.242254 | − | 0.970213i | \(-0.577887\pi\) |
0.891881 | − | 0.452271i | \(-0.149386\pi\) | |||||||
\(198\) | 2.53617 | − | 1.99446i | 0.180237 | − | 0.141740i | ||||
\(199\) | 17.4575 | − | 3.36466i | 1.23753 | − | 0.238515i | 0.471818 | − | 0.881696i | \(-0.343598\pi\) |
0.765714 | + | 0.643181i | \(0.222386\pi\) | |||||||
\(200\) | −7.35124 | − | 0.701958i | −0.519811 | − | 0.0496360i | ||||
\(201\) | 2.11646 | + | 1.09111i | 0.149283 | + | 0.0769609i | ||||
\(202\) | −2.34473 | + | 16.3080i | −0.164975 | + | 1.14743i | ||||
\(203\) | −1.90603 | − | 19.7586i | −0.133777 | − | 1.38678i | ||||
\(204\) | −0.348124 | + | 0.401756i | −0.0243735 | + | 0.0281286i | ||||
\(205\) | −2.64868 | − | 10.9180i | −0.184992 | − | 0.762546i | ||||
\(206\) | 2.40520 | − | 4.16593i | 0.167578 | − | 0.290254i | ||||
\(207\) | −4.06140 | + | 2.55050i | −0.282287 | + | 0.177272i | ||||
\(208\) | −2.84780 | − | 4.93253i | −0.197459 | − | 0.342009i | ||||
\(209\) | 13.9825 | + | 4.10564i | 0.967192 | + | 0.283993i | ||||
\(210\) | 5.15136 | + | 9.96852i | 0.355477 | + | 0.687893i | ||||
\(211\) | 9.56935 | + | 6.14985i | 0.658781 | + | 0.423373i | 0.826866 | − | 0.562400i | \(-0.190122\pi\) |
−0.168084 | + | 0.985773i | \(0.553758\pi\) | |||||||
\(212\) | 2.78009 | − | 1.11298i | 0.190937 | − | 0.0764397i | ||||
\(213\) | 0.552403 | + | 11.5964i | 0.0378500 | + | 0.794570i | ||||
\(214\) | 23.4638 | + | 2.24052i | 1.60395 | + | 0.153159i | ||||
\(215\) | 3.36726 | − | 9.72907i | 0.229645 | − | 0.663517i | ||||
\(216\) | −0.368245 | − | 2.56120i | −0.0250559 | − | 0.174268i | ||||
\(217\) | 3.67998 | − | 12.5779i | 0.249813 | − | 0.853844i | ||||
\(218\) | −8.99922 | + | 2.64241i | −0.609504 | + | 0.178967i | ||||
\(219\) | 2.03691 | + | 1.94219i | 0.137641 | + | 0.131241i | ||||
\(220\) | −1.00567 | − | 1.41227i | −0.0678024 | − | 0.0952151i | ||||
\(221\) | −2.15454 | − | 0.862547i | −0.144930 | − | 0.0580212i | ||||
\(222\) | −3.92276 | + | 11.3341i | −0.263278 | + | 0.760693i | ||||
\(223\) | −9.90824 | − | 21.6960i | −0.663505 | − | 1.45287i | −0.879220 | − | 0.476416i | \(-0.841936\pi\) |
0.215715 | − | 0.976456i | \(-0.430792\pi\) | |||||||
\(224\) | −3.25462 | + | 2.82566i | −0.217458 | + | 0.188798i | ||||
\(225\) | −0.406158 | + | 2.82489i | −0.0270772 | + | 0.188326i | ||||
\(226\) | −0.488657 | + | 10.2582i | −0.0325050 | + | 0.682364i | ||||
\(227\) | 1.48210 | + | 4.28224i | 0.0983704 | + | 0.284222i | 0.983439 | − | 0.181237i | \(-0.0580102\pi\) |
−0.885069 | + | 0.465460i | \(0.845889\pi\) | |||||||
\(228\) | −1.43543 | + | 1.36868i | −0.0950634 | + | 0.0906428i | ||||
\(229\) | 6.12615 | + | 10.6108i | 0.404828 | + | 0.701182i | 0.994301 | − | 0.106606i | \(-0.0339982\pi\) |
−0.589474 | + | 0.807787i | \(0.700665\pi\) | |||||||
\(230\) | 9.98504 | + | 17.7199i | 0.658394 | + | 1.16842i | ||||
\(231\) | 2.09140 | − | 5.23877i | 0.137604 | − | 0.344686i | ||||
\(232\) | 18.6272 | + | 5.46943i | 1.22293 | + | 0.359086i | ||||
\(233\) | 0.557676 | + | 0.107483i | 0.0365346 | + | 0.00704146i | 0.207486 | − | 0.978238i | \(-0.433472\pi\) |
−0.170951 | + | 0.985279i | \(0.554684\pi\) | |||||||
\(234\) | −1.70394 | + | 0.878442i | −0.111390 | + | 0.0574256i | ||||
\(235\) | 26.1420 | + | 20.5583i | 1.70532 | + | 1.34108i | ||||
\(236\) | −2.37775 | − | 1.22582i | −0.154778 | − | 0.0797938i | ||||
\(237\) | 0.157567 | + | 0.345023i | 0.0102351 | + | 0.0224116i | ||||
\(238\) | −1.38124 | + | 7.20408i | −0.0895324 | + | 0.466971i | ||||
\(239\) | 1.00726 | + | 7.00562i | 0.0651540 | + | 0.453156i | 0.996117 | + | 0.0880419i | \(0.0280609\pi\) |
−0.930963 | + | 0.365114i | \(0.881030\pi\) | |||||||
\(240\) | −12.5433 | + | 1.19774i | −0.809668 | + | 0.0773139i | ||||
\(241\) | 3.95542 | − | 16.3044i | 0.254791 | − | 1.05026i | −0.690318 | − | 0.723506i | \(-0.742529\pi\) |
0.945109 | − | 0.326756i | \(-0.105955\pi\) | |||||||
\(242\) | 2.30283 | − | 9.49241i | 0.148032 | − | 0.610195i | ||||
\(243\) | −0.995472 | + | 0.0950560i | −0.0638596 | + | 0.00609785i | ||||
\(244\) | −0.0409995 | − | 0.285158i | −0.00262472 | − | 0.0182554i | ||||
\(245\) | 16.5237 | + | 10.5740i | 1.05566 | + | 0.675547i | ||||
\(246\) | −2.52019 | − | 5.51845i | −0.160681 | − | 0.351843i | ||||
\(247\) | −7.69614 | − | 3.96763i | −0.489693 | − | 0.252455i | ||||
\(248\) | 10.0747 | + | 7.92285i | 0.639746 | + | 0.503102i | ||||
\(249\) | 1.82440 | − | 0.940545i | 0.115617 | − | 0.0596046i | ||||
\(250\) | −8.93716 | − | 1.72250i | −0.565236 | − | 0.108940i | ||||
\(251\) | 0.316295 | + | 0.0928725i | 0.0199644 | + | 0.00586206i | 0.291699 | − | 0.956510i | \(-0.405779\pi\) |
−0.271735 | + | 0.962372i | \(0.587597\pi\) | |||||||
\(252\) | 0.475153 | + | 0.603003i | 0.0299318 | + | 0.0379856i | ||||
\(253\) | 3.44506 | − | 9.62698i | 0.216589 | − | 0.605243i | ||||
\(254\) | −3.63161 | − | 6.29013i | −0.227867 | − | 0.394678i | ||||
\(255\) | −3.71585 | + | 3.54305i | −0.232695 | + | 0.221874i | ||||
\(256\) | −2.23209 | − | 6.44919i | −0.139505 | − | 0.403074i | ||||
\(257\) | 0.373617 | − | 7.84319i | 0.0233056 | − | 0.489245i | −0.956797 | − | 0.290755i | \(-0.906093\pi\) |
0.980103 | − | 0.198490i | \(-0.0636036\pi\) | |||||||
\(258\) | 0.791187 | − | 5.50283i | 0.0492572 | − | 0.342591i | ||||
\(259\) | 3.98827 | + | 20.5858i | 0.247819 | + | 1.27914i | ||||
\(260\) | 0.427932 | + | 0.937041i | 0.0265392 | + | 0.0581128i | ||||
\(261\) | 2.45390 | − | 7.09007i | 0.151892 | − | 0.438864i | ||||
\(262\) | 25.9647 | + | 10.3947i | 1.60411 | + | 0.642187i | ||||
\(263\) | −9.68215 | − | 13.5967i | −0.597027 | − | 0.838407i | 0.399915 | − | 0.916552i | \(-0.369040\pi\) |
−0.996942 | + | 0.0781449i | \(0.975100\pi\) | |||||||
\(264\) | 3.99262 | + | 3.80696i | 0.245729 | + | 0.234302i | ||||
\(265\) | 27.7507 | − | 8.14835i | 1.70471 | − | 0.500549i | ||||
\(266\) | −7.68488 | + | 26.2664i | −0.471190 | + | 1.61049i | ||||
\(267\) | −1.00754 | − | 7.00758i | −0.0616603 | − | 0.428857i | ||||
\(268\) | 0.225983 | − | 0.652935i | 0.0138041 | − | 0.0398844i | ||||
\(269\) | 9.01450 | + | 0.860780i | 0.549623 | + | 0.0524827i | 0.366174 | − | 0.930546i | \(-0.380668\pi\) |
0.183450 | + | 0.983029i | \(0.441274\pi\) | |||||||
\(270\) | 0.201799 | + | 4.23629i | 0.0122811 | + | 0.257812i | ||||
\(271\) | −10.5571 | + | 4.22643i | −0.641300 | + | 0.256738i | −0.669440 | − | 0.742866i | \(-0.733466\pi\) |
0.0281402 | + | 0.999604i | \(0.491042\pi\) | |||||||
\(272\) | −6.92949 | − | 4.45332i | −0.420162 | − | 0.270022i | ||||
\(273\) | −1.80926 | + | 2.82127i | −0.109502 | + | 0.170751i | ||||
\(274\) | −21.2188 | − | 6.23042i | −1.28188 | − | 0.376393i | ||||
\(275\) | −3.04233 | − | 5.26947i | −0.183460 | − | 0.317761i | ||||
\(276\) | 0.900256 | + | 1.06117i | 0.0541891 | + | 0.0638749i | ||||
\(277\) | 4.90782 | − | 8.50059i | 0.294882 | − | 0.510751i | −0.680075 | − | 0.733142i | \(-0.738053\pi\) |
0.974958 | + | 0.222391i | \(0.0713862\pi\) | |||||||
\(278\) | 3.32498 | + | 13.7058i | 0.199419 | + | 0.822017i | ||||
\(279\) | 3.24372 | − | 3.74345i | 0.194196 | − | 0.224115i | ||||
\(280\) | −15.6175 | + | 11.1440i | −0.933324 | + | 0.665980i | ||||
\(281\) | −1.19608 | + | 8.31891i | −0.0713521 | + | 0.496265i | 0.922539 | + | 0.385903i | \(0.126110\pi\) |
−0.993891 | + | 0.110362i | \(0.964799\pi\) | |||||||
\(282\) | 15.9624 | + | 8.22921i | 0.950549 | + | 0.490042i | ||||
\(283\) | 19.9322 | + | 1.90329i | 1.18484 | + | 0.113139i | 0.668813 | − | 0.743431i | \(-0.266803\pi\) |
0.516031 | + | 0.856570i | \(0.327409\pi\) | |||||||
\(284\) | 3.30783 | − | 0.637533i | 0.196284 | − | 0.0378306i | ||||
\(285\) | −15.0573 | + | 11.8412i | −0.891919 | + | 0.701413i | ||||
\(286\) | 1.69788 | − | 3.71784i | 0.100398 | − | 0.219841i | ||||
\(287\) | −8.64564 | − | 6.14392i | −0.510336 | − | 0.362664i | ||||
\(288\) | −1.56307 | + | 0.458960i | −0.0921050 | + | 0.0270445i | ||||
\(289\) | 13.5819 | − | 1.29691i | 0.798932 | − | 0.0762888i | ||||
\(290\) | −29.5404 | − | 11.8262i | −1.73467 | − | 0.694457i | ||||
\(291\) | −6.10348 | + | 1.17635i | −0.357793 | + | 0.0689589i | ||||
\(292\) | 0.473710 | − | 0.665232i | 0.0277218 | − | 0.0389298i | ||||
\(293\) | −6.02280 | + | 3.87062i | −0.351855 | + | 0.226124i | −0.704614 | − | 0.709590i | \(-0.748880\pi\) |
0.352759 | + | 0.935714i | \(0.385244\pi\) | |||||||
\(294\) | 9.84210 | + | 3.91808i | 0.574003 | + | 0.228507i | ||||
\(295\) | −21.7353 | − | 13.9684i | −1.26548 | − | 0.813274i | ||||
\(296\) | −20.1367 | − | 3.88102i | −1.17042 | − | 0.225580i | ||||
\(297\) | 1.54302 | − | 1.47127i | 0.0895350 | − | 0.0853715i | ||||
\(298\) | 6.84967 | − | 11.8640i | 0.396791 | − | 0.687262i | ||||
\(299\) | −3.09246 | + | 5.22926i | −0.178842 | + | 0.302416i | ||||
\(300\) | 0.828122 | 0.0478116 | ||||||||
\(301\) | −3.62111 | − | 9.01978i | −0.208718 | − | 0.519891i | ||||
\(302\) | −15.6115 | + | 18.0166i | −0.898340 | + | 1.03674i | ||||
\(303\) | −0.518026 | + | 10.8747i | −0.0297598 | + | 0.624735i | ||||
\(304\) | −24.1570 | − | 18.9973i | −1.38550 | − | 1.08957i | ||||
\(305\) | −0.132393 | − | 2.77927i | −0.00758079 | − | 0.159140i | ||||
\(306\) | −1.60820 | + | 2.25840i | −0.0919345 | + | 0.129104i | ||||
\(307\) | −4.78344 | − | 5.52039i | −0.273006 | − | 0.315065i | 0.602646 | − | 0.798009i | \(-0.294113\pi\) |
−0.875652 | + | 0.482943i | \(0.839568\pi\) | |||||||
\(308\) | −1.59102 | − | 0.384345i | −0.0906566 | − | 0.0219001i | ||||
\(309\) | 1.32047 | − | 2.89144i | 0.0751192 | − | 0.164488i | ||||
\(310\) | −15.2037 | − | 14.4967i | −0.863515 | − | 0.823360i | ||||
\(311\) | −2.37661 | + | 9.79652i | −0.134765 | + | 0.555510i | 0.863891 | + | 0.503679i | \(0.168021\pi\) |
−0.998656 | + | 0.0518303i | \(0.983495\pi\) | |||||||
\(312\) | −1.90133 | − | 2.67004i | −0.107642 | − | 0.151161i | ||||
\(313\) | 24.3061 | − | 19.1145i | 1.37386 | − | 1.08042i | 0.386438 | − | 0.922315i | \(-0.373705\pi\) |
0.987423 | − | 0.158101i | \(-0.0505372\pi\) | |||||||
\(314\) | 7.89740 | + | 9.11409i | 0.445676 | + | 0.514338i | ||||
\(315\) | 4.01472 | + | 6.23375i | 0.226204 | + | 0.351232i | ||||
\(316\) | 0.0925888 | − | 0.0595032i | 0.00520853 | − | 0.00334732i | ||||
\(317\) | −13.1724 | + | 5.27345i | −0.739838 | + | 0.296186i | −0.710802 | − | 0.703392i | \(-0.751668\pi\) |
−0.0290355 | + | 0.999578i | \(0.509244\pi\) | |||||||
\(318\) | 13.8817 | − | 7.15653i | 0.778449 | − | 0.401318i | ||||
\(319\) | 5.23177 | + | 15.1162i | 0.292923 | + | 0.846345i | ||||
\(320\) | −4.31244 | − | 17.7761i | −0.241073 | − | 0.993716i | ||||
\(321\) | 15.5752 | 0.869326 | ||||||||
\(322\) | 18.0855 | + | 6.45224i | 1.00787 | + | 0.359569i | ||||
\(323\) | −12.5224 | −0.696764 | ||||||||
\(324\) | 0.0684097 | + | 0.281989i | 0.00380054 | + | 0.0156660i | ||||
\(325\) | 1.18245 | + | 3.41646i | 0.0655904 | + | 0.189511i | ||||
\(326\) | −30.0935 | + | 15.5143i | −1.66672 | + | 0.859256i | ||||
\(327\) | −5.75373 | + | 2.30345i | −0.318182 | + | 0.127381i | ||||
\(328\) | 8.72633 | − | 5.60807i | 0.481831 | − | 0.309654i | ||||
\(329\) | 31.3603 | − | 1.52432i | 1.72895 | − | 0.0840383i | ||||
\(330\) | −5.92132 | − | 6.83357i | −0.325958 | − | 0.376176i | ||||
\(331\) | −28.2103 | + | 22.1848i | −1.55058 | + | 1.21939i | −0.673342 | + | 0.739331i | \(0.735142\pi\) |
−0.877237 | + | 0.480057i | \(0.840616\pi\) | |||||||
\(332\) | −0.345478 | − | 0.485155i | −0.0189605 | − | 0.0266264i | ||||
\(333\) | −1.86848 | + | 7.70198i | −0.102392 | + | 0.422066i | ||||
\(334\) | 10.9830 | + | 10.4723i | 0.600964 | + | 0.573018i | ||||
\(335\) | 2.77213 | − | 6.07013i | 0.151458 | − | 0.331646i | ||||
\(336\) | −8.20061 | + | 8.61724i | −0.447380 | + | 0.470109i | ||||
\(337\) | 16.4753 | + | 19.0135i | 0.897468 | + | 1.03573i | 0.999163 | + | 0.0409171i | \(0.0130280\pi\) |
−0.101695 | + | 0.994816i | \(0.532427\pi\) | |||||||
\(338\) | 10.0030 | − | 14.0472i | 0.544090 | − | 0.764068i | ||||
\(339\) | 0.322902 | + | 6.77854i | 0.0175376 | + | 0.368160i | ||||
\(340\) | 1.17106 | + | 0.920934i | 0.0635098 | + | 0.0499447i | ||||
\(341\) | −0.502491 | + | 10.5486i | −0.0272114 | + | 0.571238i | ||||
\(342\) | −6.77384 | + | 7.81742i | −0.366287 | + | 0.422718i | ||||
\(343\) | 18.3240 | − | 2.68896i | 0.989404 | − | 0.145190i | ||||
\(344\) | 9.50567 | 0.512511 | ||||||||
\(345\) | 7.68122 | + | 11.0290i | 0.413543 | + | 0.593783i | ||||
\(346\) | 17.3962 | − | 30.1312i | 0.935227 | − | 1.61986i | ||||
\(347\) | −3.37540 | + | 3.21844i | −0.181201 | + | 0.172775i | −0.775251 | − | 0.631653i | \(-0.782377\pi\) |
0.594050 | + | 0.804428i | \(0.297528\pi\) | |||||||
\(348\) | −2.13771 | − | 0.412009i | −0.114593 | − | 0.0220860i | ||||
\(349\) | −18.9671 | − | 12.1894i | −1.01528 | − | 0.652484i | −0.0765292 | − | 0.997067i | \(-0.524384\pi\) |
−0.938756 | + | 0.344583i | \(0.888020\pi\) | |||||||
\(350\) | 9.89042 | − | 5.72302i | 0.528665 | − | 0.305908i | ||||
\(351\) | −1.06568 | + | 0.684870i | −0.0568817 | + | 0.0365557i | ||||
\(352\) | 2.01465 | − | 2.82918i | 0.107381 | − | 0.150796i | ||||
\(353\) | −17.3360 | + | 3.34124i | −0.922701 | + | 0.177836i | −0.628412 | − | 0.777880i | \(-0.716295\pi\) |
−0.294289 | + | 0.955717i | \(0.595083\pi\) | |||||||
\(354\) | −12.9524 | − | 5.18534i | −0.688410 | − | 0.275598i | ||||
\(355\) | 32.3882 | − | 3.09270i | 1.71899 | − | 0.164143i | ||||
\(356\) | −1.97107 | + | 0.578759i | −0.104467 | + | 0.0306742i | ||||
\(357\) | −0.456075 | + | 4.82562i | −0.0241381 | + | 0.255399i | ||||
\(358\) | 8.37866 | − | 18.3467i | 0.442826 | − | 0.969653i | ||||
\(359\) | −10.9574 | + | 8.61699i | −0.578309 | + | 0.454787i | −0.863970 | − | 0.503544i | \(-0.832029\pi\) |
0.285661 | + | 0.958331i | \(0.407787\pi\) | |||||||
\(360\) | −7.12050 | + | 1.37236i | −0.375284 | + | 0.0723300i | ||||
\(361\) | −27.5946 | − | 2.63497i | −1.45235 | − | 0.138682i | ||||
\(362\) | 22.2113 | + | 11.4507i | 1.16740 | + | 0.601837i | ||||
\(363\) | 0.918567 | − | 6.38878i | 0.0482123 | − | 0.335324i | ||||
\(364\) | 0.885025 | + | 0.403142i | 0.0463879 | + | 0.0211304i | ||||
\(365\) | 5.16517 | − | 5.96092i | 0.270357 | − | 0.312009i | ||||
\(366\) | −0.354226 | − | 1.46014i | −0.0185157 | − | 0.0763228i | ||||
\(367\) | −14.4253 | + | 24.9853i | −0.752994 | + | 1.30422i | 0.193371 | + | 0.981126i | \(0.438058\pi\) |
−0.946365 | + | 0.323098i | \(0.895276\pi\) | |||||||
\(368\) | −14.2902 | + | 16.1475i | −0.744928 | + | 0.841746i | ||||
\(369\) | −2.00441 | − | 3.47175i | −0.104346 | − | 0.180732i | ||||
\(370\) | 32.2507 | + | 9.46967i | 1.67664 | + | 0.492304i | ||||
\(371\) | 14.7398 | − | 22.9845i | 0.765252 | − | 1.19329i | ||||
\(372\) | −1.20912 | − | 0.777057i | −0.0626901 | − | 0.0402885i | ||||
\(373\) | 25.6523 | − | 10.2696i | 1.32822 | − | 0.531741i | 0.404408 | − | 0.914579i | \(-0.367478\pi\) |
0.923815 | + | 0.382838i | \(0.125053\pi\) | |||||||
\(374\) | −0.281257 | − | 5.90430i | −0.0145434 | − | 0.305304i | ||||
\(375\) | −5.98708 | − | 0.571697i | −0.309171 | − | 0.0295223i | ||||
\(376\) | −10.0431 | + | 29.0177i | −0.517935 | + | 1.49647i | ||||
\(377\) | −1.35260 | − | 9.40751i | −0.0696622 | − | 0.484511i | ||||
\(378\) | 2.76581 | + | 2.89508i | 0.142258 | + | 0.148907i | ||||
\(379\) | −18.2486 | + | 5.35826i | −0.937366 | + | 0.275235i | −0.714517 | − | 0.699618i | \(-0.753354\pi\) |
−0.222848 | + | 0.974853i | \(0.571535\pi\) | |||||||
\(380\) | 4.02276 | + | 3.83570i | 0.206363 | + | 0.196767i | ||||
\(381\) | −2.78398 | − | 3.90955i | −0.142627 | − | 0.200292i | ||||
\(382\) | 10.4513 | + | 4.18408i | 0.534737 | + | 0.214076i | ||||
\(383\) | 5.92681 | − | 17.1244i | 0.302846 | − | 0.875015i | −0.686201 | − | 0.727412i | \(-0.740723\pi\) |
0.989047 | − | 0.147603i | \(-0.0471559\pi\) | |||||||
\(384\) | −5.45672 | − | 11.9485i | −0.278462 | − | 0.609747i | ||||
\(385\) | −14.9438 | − | 5.15592i | −0.761609 | − | 0.262770i | ||||
\(386\) | 4.86029 | − | 33.8040i | 0.247382 | − | 1.72058i | ||||
\(387\) | 0.174798 | − | 3.66947i | 0.00888550 | − | 0.186530i | ||||
\(388\) | 0.589910 | + | 1.70443i | 0.0299481 | + | 0.0865294i | ||||
\(389\) | 6.67668 | − | 6.36620i | 0.338521 | − | 0.322779i | −0.501681 | − | 0.865053i | \(-0.667285\pi\) |
0.840202 | + | 0.542273i | \(0.182436\pi\) | |||||||
\(390\) | 2.68625 | + | 4.65273i | 0.136024 | + | 0.235600i | ||||
\(391\) | −0.509802 | + | 8.77135i | −0.0257818 | + | 0.443586i | ||||
\(392\) | −4.23615 | + | 17.6104i | −0.213958 | + | 0.889462i | ||||
\(393\) | 17.7326 | + | 5.20675i | 0.894490 | + | 0.262646i | ||||
\(394\) | −32.6158 | − | 6.28619i | −1.64316 | − | 0.316693i | ||||
\(395\) | 0.944816 | − | 0.487086i | 0.0475388 | − | 0.0245080i | ||||
\(396\) | −0.486288 | − | 0.382421i | −0.0244369 | − | 0.0192174i | ||||
\(397\) | 1.66956 | + | 0.860716i | 0.0837926 | + | 0.0431981i | 0.499614 | − | 0.866248i | \(-0.333475\pi\) |
−0.415821 | + | 0.909447i | \(0.636506\pi\) | |||||||
\(398\) | −11.1768 | − | 24.4739i | −0.560244 | − | 1.22676i | ||||
\(399\) | −3.40527 | + | 17.7608i | −0.170477 | + | 0.889151i | ||||
\(400\) | 1.82614 | + | 12.7011i | 0.0913071 | + | 0.635055i | ||||
\(401\) | −8.29329 | + | 0.791913i | −0.414147 | + | 0.0395462i | −0.300050 | − | 0.953923i | \(-0.597003\pi\) |
−0.114097 | + | 0.993470i | \(0.536397\pi\) | |||||||
\(402\) | 0.849552 | − | 3.50190i | 0.0423718 | − | 0.174659i | ||||
\(403\) | 1.47932 | − | 6.09783i | 0.0736901 | − | 0.303755i | ||||
\(404\) | 3.14477 | − | 0.300289i | 0.156458 | − | 0.0149399i | ||||
\(405\) | 0.398836 | + | 2.77396i | 0.0198183 | + | 0.137839i | ||||
\(406\) | −28.3784 | + | 9.85263i | −1.40839 | + | 0.488978i | ||||
\(407\) | −7.01931 | − | 15.3701i | −0.347934 | − | 0.761870i | ||||
\(408\) | −4.21350 | − | 2.17221i | −0.208600 | − | 0.107541i | ||||
\(409\) | −26.6078 | − | 20.9246i | −1.31567 | − | 1.03465i | −0.996203 | − | 0.0870561i | \(-0.972254\pi\) |
−0.319466 | − | 0.947598i | \(-0.603504\pi\) | |||||||
\(410\) | −15.1118 | + | 7.79067i | −0.746319 | + | 0.384754i | ||||
\(411\) | −14.3492 | − | 2.76557i | −0.707792 | − | 0.136416i | ||||
\(412\) | −0.884992 | − | 0.259857i | −0.0436004 | − | 0.0128022i | ||||
\(413\) | −24.1402 | + | 3.49470i | −1.18786 | + | 0.171963i | ||||
\(414\) | 5.19997 | + | 5.06302i | 0.255565 | + | 0.248834i | ||||
\(415\) | −2.87616 | − | 4.98166i | −0.141185 | − | 0.244540i | ||||
\(416\) | −1.49354 | + | 1.42408i | −0.0732267 | + | 0.0698215i | ||||
\(417\) | 3.04807 | + | 8.80683i | 0.149265 | + | 0.431272i | ||||
\(418\) | 1.04935 | − | 22.0285i | 0.0513253 | − | 1.07745i | ||||
\(419\) | 0.463152 | − | 3.22129i | 0.0226264 | − | 0.157370i | −0.975376 | − | 0.220550i | \(-0.929215\pi\) |
0.998002 | + | 0.0631793i | \(0.0201240\pi\) | |||||||
\(420\) | 1.62463 | − | 1.41051i | 0.0792740 | − | 0.0688259i | ||||
\(421\) | 8.30530 | + | 18.1861i | 0.404776 | + | 0.886335i | 0.996764 | + | 0.0803881i | \(0.0256160\pi\) |
−0.591988 | + | 0.805947i | \(0.701657\pi\) | |||||||
\(422\) | 5.63024 | − | 16.2675i | 0.274076 | − | 0.791891i | ||||
\(423\) | 11.0170 | + | 4.41055i | 0.535666 | + | 0.214448i | ||||
\(424\) | 15.4898 | + | 21.7524i | 0.752252 | + | 1.05639i | ||||
\(425\) | 3.78406 | + | 3.60810i | 0.183554 | + | 0.175018i | ||||
\(426\) | 16.8574 | − | 4.94977i | 0.816742 | − | 0.239817i | ||||
\(427\) | −1.81454 | − | 1.89935i | −0.0878119 | − | 0.0919161i | ||||
\(428\) | −0.643183 | − | 4.47344i | −0.0310894 | − | 0.216232i | ||||
\(429\) | 0.883343 | − | 2.55225i | 0.0426482 | − | 0.123224i | ||||
\(430\) | −15.5096 | − | 1.48099i | −0.747941 | − | 0.0714198i | ||||
\(431\) | −0.602864 | − | 12.6557i | −0.0290390 | − | 0.609603i | −0.965746 | − | 0.259489i | \(-0.916446\pi\) |
0.936707 | − | 0.350114i | \(-0.113857\pi\) | |||||||
\(432\) | −4.17407 | + | 1.67105i | −0.200825 | + | 0.0803982i | ||||
\(433\) | −11.4489 | − | 7.35776i | −0.550199 | − | 0.353591i | 0.235817 | − | 0.971797i | \(-0.424223\pi\) |
−0.786016 | + | 0.618206i | \(0.787860\pi\) | |||||||
\(434\) | −19.8109 | − | 0.924482i | −0.950954 | − | 0.0443766i | ||||
\(435\) | −20.1745 | − | 5.92378i | −0.967296 | − | 0.284024i | ||||
\(436\) | 0.899185 | + | 1.55743i | 0.0430632 | + | 0.0745876i | ||||
\(437\) | −5.00416 | + | 32.3963i | −0.239381 | + | 1.54973i | ||||
\(438\) | 2.12959 | − | 3.68855i | 0.101756 | − | 0.176246i | ||||
\(439\) | −7.63908 | − | 31.4887i | −0.364594 | − | 1.50288i | −0.798543 | − | 0.601938i | \(-0.794395\pi\) |
0.433949 | − | 0.900937i | \(-0.357120\pi\) | |||||||
\(440\) | 10.1245 | − | 11.6843i | 0.482665 | − | 0.557025i | ||||
\(441\) | 6.72026 | + | 1.95912i | 0.320012 | + | 0.0932912i | ||||
\(442\) | −0.499825 | + | 3.47636i | −0.0237743 | + | 0.165354i | ||||
\(443\) | −16.6195 | − | 8.56793i | −0.789615 | − | 0.407075i | 0.0157340 | − | 0.999876i | \(-0.494992\pi\) |
−0.805349 | + | 0.592802i | \(0.798022\pi\) | |||||||
\(444\) | 2.28928 | + | 0.218600i | 0.108644 | + | 0.0103743i | ||||
\(445\) | −19.4821 | + | 3.75486i | −0.923538 | + | 0.177997i | ||||
\(446\) | −28.3726 | + | 22.3125i | −1.34348 | + | 1.05653i | ||||
\(447\) | 3.76052 | − | 8.23440i | 0.177867 | − | 0.389474i | ||||
\(448\) | −14.0764 | − | 10.0032i | −0.665047 | − | 0.472608i | ||||
\(449\) | 19.9687 | − | 5.86333i | 0.942380 | − | 0.276708i | 0.225769 | − | 0.974181i | \(-0.427511\pi\) |
0.716611 | + | 0.697473i | \(0.245692\pi\) | |||||||
\(450\) | 4.29939 | − | 0.410542i | 0.202675 | − | 0.0193532i | ||||
\(451\) | 7.93469 | + | 3.17657i | 0.373630 | + | 0.149579i | ||||
\(452\) | 1.93356 | − | 0.372664i | 0.0909471 | − | 0.0175286i | ||||
\(453\) | −9.13760 | + | 12.8320i | −0.429322 | + | 0.602898i | ||||
\(454\) | 5.76899 | − | 3.70750i | 0.270752 | − | 0.174002i | ||||
\(455\) | 8.13889 | + | 4.68849i | 0.381557 | + | 0.219800i | ||||
\(456\) | −14.8787 | − | 9.56198i | −0.696761 | − | 0.447781i | ||||
\(457\) | 9.64582 | + | 1.85908i | 0.451212 | + | 0.0869640i | 0.409794 | − | 0.912178i | \(-0.365600\pi\) |
0.0414178 | + | 0.999142i | \(0.486813\pi\) | |||||||
\(458\) | 13.4193 | − | 12.7953i | 0.627044 | − | 0.597885i | ||||
\(459\) | −0.916020 | + | 1.58659i | −0.0427561 | + | 0.0740558i | ||||
\(460\) | 2.85050 | − | 2.66160i | 0.132905 | − | 0.124098i | ||||
\(461\) | 2.66557 | 0.124148 | 0.0620740 | − | 0.998072i | \(-0.480229\pi\) | ||||
0.0620740 | + | 0.998072i | \(0.480229\pi\) | |||||||
\(462\) | −8.45069 | − | 1.20667i | −0.393162 | − | 0.0561395i | ||||
\(463\) | −25.5438 | + | 29.4791i | −1.18712 | + | 1.37001i | −0.274300 | + | 0.961644i | \(0.588446\pi\) |
−0.912819 | + | 0.408364i | \(0.866099\pi\) | |||||||
\(464\) | 1.60509 | − | 33.6950i | 0.0745145 | − | 1.56425i | ||||
\(465\) | −10.9116 | − | 8.58100i | −0.506015 | − | 0.397935i | ||||
\(466\) | −0.0408957 | − | 0.858507i | −0.00189446 | − | 0.0397696i | ||||
\(467\) | −19.7175 | + | 27.6894i | −0.912418 | + | 1.28131i | 0.0468753 | + | 0.998901i | \(0.485074\pi\) |
−0.959293 | + | 0.282411i | \(0.908866\pi\) | |||||||
\(468\) | 0.240712 | + | 0.277797i | 0.0111269 | + | 0.0128412i | ||||
\(469\) | −1.78075 | − | 6.04304i | −0.0822276 | − | 0.279042i | ||||
\(470\) | 20.9076 | − | 45.7812i | 0.964394 | − | 2.11173i | ||||
\(471\) | 5.76741 | + | 5.49921i | 0.265748 | + | 0.253390i | ||||
\(472\) | 5.62407 | − | 23.1827i | 0.258869 | − | 1.06707i | ||||
\(473\) | 4.54316 | + | 6.37998i | 0.208895 | + | 0.293352i | ||||
\(474\) | 0.451198 | − | 0.354826i | 0.0207242 | − | 0.0162977i | ||||
\(475\) | 12.7745 | + | 14.7426i | 0.586136 | + | 0.676438i | ||||
\(476\) | 1.40482 | − | 0.0682835i | 0.0643899 | − | 0.00312977i | ||||
\(477\) | 8.68192 | − | 5.57953i | 0.397518 | − | 0.255469i | ||||
\(478\) | 9.94360 | − | 3.98082i | 0.454810 | − | 0.182078i | ||||
\(479\) | 15.7322 | − | 8.11050i | 0.718822 | − | 0.370578i | −0.0596829 | − | 0.998217i | \(-0.519009\pi\) |
0.778504 | + | 0.627639i | \(0.215979\pi\) | |||||||
\(480\) | 1.49320 | + | 4.31433i | 0.0681552 | + | 0.196921i | ||||
\(481\) | 2.36694 | + | 9.75667i | 0.107923 | + | 0.444866i | ||||
\(482\) | −25.3897 | −1.15647 | ||||||||
\(483\) | 12.3020 | + | 3.10830i | 0.559759 | + | 0.141433i | ||||
\(484\) | −1.87288 | −0.0851310 | ||||||||
\(485\) | 4.10686 | + | 16.9287i | 0.186483 | + | 0.768693i | ||||
\(486\) | 0.494962 | + | 1.43010i | 0.0224519 | + | 0.0648706i | ||||
\(487\) | 8.10920 | − | 4.18059i | 0.367463 | − | 0.189440i | −0.264598 | − | 0.964359i | \(-0.585239\pi\) |
0.632061 | + | 0.774918i | \(0.282209\pi\) | |||||||
\(488\) | 2.38499 | − | 0.954805i | 0.107963 | − | 0.0432220i | ||||
\(489\) | −18.8211 | + | 12.0956i | −0.851118 | + | 0.546980i | ||||
\(490\) | 9.65551 | − | 28.0736i | 0.436192 | − | 1.26824i | ||||
\(491\) | 15.9457 | + | 18.4024i | 0.719621 | + | 0.830486i | 0.991261 | − | 0.131912i | \(-0.0421117\pi\) |
−0.271641 | + | 0.962399i | \(0.587566\pi\) | |||||||
\(492\) | −0.914364 | + | 0.719064i | −0.0412227 | + | 0.0324179i | ||||
\(493\) | −7.97304 | − | 11.1966i | −0.359088 | − | 0.504268i | ||||
\(494\) | −3.08925 | + | 12.7341i | −0.138992 | + | 0.572933i | ||||
\(495\) | −4.32429 | − | 4.12320i | −0.194362 | − | 0.185324i | ||||
\(496\) | 9.25158 | − | 20.2581i | 0.415408 | − | 0.909617i | ||||
\(497\) | 21.1748 | − | 22.2506i | 0.949822 | − | 0.998078i | ||||
\(498\) | −2.03415 | − | 2.34753i | −0.0911523 | − | 0.105195i | ||||
\(499\) | −1.10586 | + | 1.55297i | −0.0495052 | + | 0.0695203i | −0.838587 | − | 0.544768i | \(-0.816618\pi\) |
0.789081 | + | 0.614289i | \(0.210557\pi\) | |||||||
\(500\) | 0.0830381 | + | 1.74319i | 0.00371358 | + | 0.0779576i | ||||
\(501\) | 7.88244 | + | 6.19882i | 0.352162 | + | 0.276943i | ||||
\(502\) | 0.0237370 | − | 0.498301i | 0.00105943 | − | 0.0222403i | ||||
\(503\) | −23.3844 | + | 26.9870i | −1.04266 | + | 1.20329i | −0.0639664 | + | 0.997952i | \(0.520375\pi\) |
−0.978691 | + | 0.205339i | \(0.934170\pi\) | |||||||
\(504\) | −4.22670 | + | 5.38541i | −0.188272 | + | 0.239885i | ||||
\(505\) | 30.5108 | 1.35771 | ||||||||
\(506\) | −15.3873 | − | 1.63183i | −0.684047 | − | 0.0725437i | ||||
\(507\) | 5.69764 | − | 9.86860i | 0.253041 | − | 0.438280i | ||||
\(508\) | −1.00791 | + | 0.961045i | −0.0447190 | + | 0.0426395i | ||||
\(509\) | 24.7608 | + | 4.77224i | 1.09750 | + | 0.211526i | 0.705691 | − | 0.708520i | \(-0.250637\pi\) |
0.391810 | + | 0.920046i | \(0.371849\pi\) | |||||||
\(510\) | 6.53641 | + | 4.20070i | 0.289437 | + | 0.186010i | ||||
\(511\) | −0.00721122 | − | 7.44630i | −0.000319005 | − | 0.329405i | ||||
\(512\) | 13.4124 | − | 8.61965i | 0.592751 | − | 0.380938i | ||||
\(513\) | −3.96481 | + | 5.56780i | −0.175051 | + | 0.245824i | ||||
\(514\) | −11.6681 | + | 2.24884i | −0.514656 | + | 0.0991919i | ||||
\(515\) | −8.27012 | − | 3.31086i | −0.364425 | − | 0.145894i | ||||
\(516\) | −1.06114 | + | 0.101327i | −0.0467142 | + | 0.00446067i | ||||
\(517\) | −24.2760 | + | 7.12809i | −1.06766 | + | 0.313493i | ||||
\(518\) | 28.8520 | − | 13.2101i | 1.26769 | − | 0.580417i | ||||
\(519\) | 9.55067 | − | 20.9130i | 0.419228 | − | 0.917981i | ||||
\(520\) | −7.22075 | + | 5.67846i | −0.316651 | + | 0.249017i | ||||
\(521\) | 25.4427 | − | 4.90368i | 1.11467 | − | 0.214834i | 0.401520 | − | 0.915850i | \(-0.368482\pi\) |
0.713146 | + | 0.701016i | \(0.247270\pi\) | |||||||
\(522\) | −11.3027 | − | 1.07927i | −0.494704 | − | 0.0472385i | ||||
\(523\) | −2.61056 | − | 1.34584i | −0.114152 | − | 0.0588494i | 0.400205 | − | 0.916426i | \(-0.368939\pi\) |
−0.514357 | + | 0.857576i | \(0.671969\pi\) | |||||||
\(524\) | 0.763185 | − | 5.30807i | 0.0333399 | − | 0.231884i | ||||
\(525\) | 6.14646 | − | 4.38585i | 0.268254 | − | 0.191414i | ||||
\(526\) | −16.5418 | + | 19.0903i | −0.721259 | + | 0.832377i | ||||
\(527\) | −2.13943 | − | 8.81883i | −0.0931949 | − | 0.384154i | ||||
\(528\) | 4.79294 | − | 8.30161i | 0.208586 | − | 0.361281i | ||||
\(529\) | 22.4884 | + | 4.82408i | 0.977757 | + | 0.209743i | ||||
\(530\) | −21.8845 | − | 37.9050i | −0.950601 | − | 1.64649i | ||||
\(531\) | −8.84580 | − | 2.59736i | −0.383875 | − | 0.112716i | ||||
\(532\) | 5.24177 | + | 0.244609i | 0.227260 | + | 0.0106051i | ||||
\(533\) | −4.27212 | − | 2.74553i | −0.185046 | − | 0.118922i | ||||
\(534\) | −9.94638 | + | 3.98193i | −0.430422 | + | 0.172315i | ||||
\(535\) | −2.07692 | − | 43.6000i | −0.0897933 | − | 1.88499i | ||||
\(536\) | 6.13344 | + | 0.585673i | 0.264924 | + | 0.0252972i | ||||
\(537\) | 4.35910 | − | 12.5948i | 0.188109 | − | 0.543505i | ||||
\(538\) | −1.95028 | − | 13.5645i | −0.0840824 | − | 0.584806i | ||||
\(539\) | −13.8444 | + | 5.57358i | −0.596318 | + | 0.240071i | ||||
\(540\) | 0.780253 | − | 0.229103i | 0.0335767 | − | 0.00985902i | ||||
\(541\) | 5.06915 | + | 4.83343i | 0.217940 | + | 0.207805i | 0.791182 | − | 0.611581i | \(-0.209466\pi\) |
−0.573242 | + | 0.819386i | \(0.694315\pi\) | |||||||
\(542\) | 9.98228 | + | 14.0181i | 0.428776 | + | 0.602131i | ||||
\(543\) | 15.3299 | + | 6.13716i | 0.657869 | + | 0.263371i | ||||
\(544\) | −0.976136 | + | 2.82036i | −0.0418515 | + | 0.120922i | ||||
\(545\) | 7.21532 | + | 15.7993i | 0.309070 | + | 0.676769i | ||||
\(546\) | 4.79468 | + | 1.65426i | 0.205193 | + | 0.0707957i | ||||
\(547\) | 3.82364 | − | 26.5940i | 0.163487 | − | 1.13708i | −0.728510 | − | 0.685036i | \(-0.759787\pi\) |
0.891997 | − | 0.452042i | \(-0.149304\pi\) | |||||||
\(548\) | −0.201761 | + | 4.23549i | −0.00861882 | + | 0.180931i | ||||
\(549\) | −0.324726 | − | 0.938234i | −0.0138590 | − | 0.0400428i | ||||
\(550\) | −6.66422 | + | 6.35432i | −0.284163 | + | 0.270949i | ||||
\(551\) | −25.6413 | − | 44.4121i | −1.09236 | − | 1.89202i | ||||
\(552\) | −7.30346 | + | 10.0326i | −0.310856 | + | 0.427015i | ||||
\(553\) | 0.372073 | − | 0.932007i | 0.0158221 | − | 0.0396330i | ||||
\(554\) | −14.2526 | − | 4.18494i | −0.605535 | − | 0.177801i | ||||
\(555\) | 21.8094 | + | 4.20342i | 0.925758 | + | 0.178425i | ||||
\(556\) | 2.40358 | − | 1.23913i | 0.101934 | − | 0.0525508i | ||||
\(557\) | 31.4665 | + | 24.7455i | 1.33328 | + | 1.04850i | 0.994178 | + | 0.107751i | \(0.0343649\pi\) |
0.339100 | + | 0.940750i | \(0.389878\pi\) | |||||||
\(558\) | −6.66268 | − | 3.43485i | −0.282054 | − | 0.145409i | ||||
\(559\) | −1.93320 | − | 4.23312i | −0.0817657 | − | 0.179042i | ||||
\(560\) | 25.2159 | + | 21.8070i | 1.06557 | + | 0.921513i | ||||
\(561\) | −0.555875 | − | 3.86620i | −0.0234691 | − | 0.163231i | ||||
\(562\) | 12.6611 | − | 1.20899i | 0.534077 | − | 0.0509982i | ||||
\(563\) | −1.86813 | + | 7.70055i | −0.0787324 | + | 0.324539i | −0.997534 | − | 0.0701794i | \(-0.977643\pi\) |
0.918802 | + | 0.394719i | \(0.129158\pi\) | |||||||
\(564\) | 0.811824 | − | 3.34638i | 0.0341840 | − | 0.140908i | ||||
\(565\) | 18.9322 | − | 1.80781i | 0.796484 | − | 0.0760550i | ||||
\(566\) | −4.31230 | − | 29.9927i | −0.181260 | − | 1.26069i | ||||
\(567\) | 2.00120 | + | 1.73066i | 0.0840426 | + | 0.0726809i | ||||
\(568\) | 12.4791 | + | 27.3254i | 0.523611 | + | 1.14655i | ||||
\(569\) | 9.38084 | + | 4.83616i | 0.393265 | + | 0.202742i | 0.643506 | − | 0.765441i | \(-0.277479\pi\) |
−0.250240 | + | 0.968184i | \(0.580510\pi\) | |||||||
\(570\) | 22.7867 | + | 17.9197i | 0.954430 | + | 0.750572i | ||||
\(571\) | 2.33271 | − | 1.20260i | 0.0976210 | − | 0.0503271i | −0.408725 | − | 0.912658i | \(-0.634026\pi\) |
0.506346 | + | 0.862331i | \(0.330996\pi\) | |||||||
\(572\) | −0.769522 | − | 0.148313i | −0.0321753 | − | 0.00620129i | ||||
\(573\) | 7.13772 | + | 2.09582i | 0.298183 | + | 0.0875543i | ||||
\(574\) | −5.95109 | + | 14.9069i | −0.248394 | + | 0.622204i | ||||
\(575\) | 10.8466 | − | 8.34779i | 0.452334 | − | 0.348127i | ||||
\(576\) | −3.26348 | − | 5.65252i | −0.135979 | − | 0.235522i | ||||
\(577\) | −19.8945 | + | 18.9694i | −0.828219 | + | 0.789705i | −0.980060 | − | 0.198700i | \(-0.936328\pi\) |
0.151842 | + | 0.988405i | \(0.451480\pi\) | |||||||
\(578\) | −6.75308 | − | 19.5117i | −0.280891 | − | 0.811581i | ||||
\(579\) | 1.07379 | − | 22.5417i | 0.0446253 | − | 0.936800i | ||||
\(580\) | −0.868284 | + | 6.03905i | −0.0360535 | + | 0.250758i | ||||
\(581\) | −5.13365 | − | 1.77121i | −0.212980 | − | 0.0734821i | ||||
\(582\) | 3.90763 | + | 8.55652i | 0.161977 | + | 0.354679i | ||||
\(583\) | −7.19646 | + | 20.7928i | −0.298047 | + | 0.861150i | ||||
\(584\) | 6.76082 | + | 2.70662i | 0.279765 | + | 0.112001i | ||||
\(585\) | 2.05927 | + | 2.89184i | 0.0851404 | + | 0.119563i | ||||
\(586\) | 7.84122 | + | 7.47659i | 0.323918 | + | 0.308855i | ||||
\(587\) | 8.42993 | − | 2.47525i | 0.347941 | − | 0.102165i | −0.103093 | − | 0.994672i | \(-0.532874\pi\) |
0.451033 | + | 0.892507i | \(0.351056\pi\) | |||||||
\(588\) | 0.285172 | − | 2.01106i | 0.0117603 | − | 0.0829346i | ||||
\(589\) | −4.81833 | − | 33.5122i | −0.198536 | − | 1.38085i | ||||
\(590\) | −12.7882 | + | 36.9492i | −0.526483 | + | 1.52117i | ||||
\(591\) | −21.8496 | − | 2.08639i | −0.898773 | − | 0.0858224i | ||||
\(592\) | 1.69552 | + | 35.5933i | 0.0696853 | + | 1.46287i | ||||
\(593\) | −22.9909 | + | 9.20419i | −0.944125 | + | 0.377971i | −0.792090 | − | 0.610404i | \(-0.791007\pi\) |
−0.152035 | + | 0.988375i | \(0.548583\pi\) | |||||||
\(594\) | −2.71427 | − | 1.74435i | −0.111368 | − | 0.0715717i | ||||
\(595\) | 13.5692 | + | 0.633212i | 0.556284 | + | 0.0259592i | ||||
\(596\) | −2.52033 | − | 0.740036i | −0.103237 | − | 0.0303131i | ||||
\(597\) | −8.88941 | − | 15.3969i | −0.363819 | − | 0.630154i | ||||
\(598\) | 8.79386 | + | 2.68230i | 0.359608 | + | 0.109687i | ||||
\(599\) | −12.5408 | + | 21.7214i | −0.512405 | + | 0.887511i | 0.487492 | + | 0.873128i | \(0.337912\pi\) |
−0.999897 | + | 0.0143838i | \(0.995421\pi\) | |||||||
\(600\) | 1.74100 | + | 7.17652i | 0.0710762 | + | 0.292980i | ||||
\(601\) | −4.20583 | + | 4.85378i | −0.171559 | + | 0.197990i | −0.835017 | − | 0.550223i | \(-0.814543\pi\) |
0.663458 | + | 0.748213i | \(0.269088\pi\) | |||||||
\(602\) | −11.9732 | + | 8.54356i | −0.487991 | + | 0.348209i | ||||
\(603\) | 0.338874 | − | 2.35692i | 0.0138000 | − | 0.0959812i | ||||
\(604\) | 4.06287 | + | 2.09455i | 0.165316 | + | 0.0852262i | ||||
\(605\) | −18.0067 | − | 1.71943i | −0.732075 | − | 0.0699047i | ||||
\(606\) | 16.1779 | − | 3.11804i | 0.657184 | − | 0.126662i | ||||
\(607\) | 21.8971 | − | 17.2201i | 0.888776 | − | 0.698942i | −0.0655046 | − | 0.997852i | \(-0.520866\pi\) |
0.954281 | + | 0.298911i | \(0.0966233\pi\) | |||||||
\(608\) | −4.62564 | + | 10.1287i | −0.187594 | + | 0.410775i | ||||
\(609\) | −18.0485 | + | 8.26360i | −0.731361 | + | 0.334858i | ||||
\(610\) | −4.04016 | + | 1.18630i | −0.163581 | + | 0.0480317i | ||||
\(611\) | 14.9649 | − | 1.42897i | 0.605413 | − | 0.0578099i | ||||
\(612\) | 0.493520 | + | 0.197576i | 0.0199494 | + | 0.00798652i | ||||
\(613\) | −25.4761 | + | 4.91011i | −1.02897 | + | 0.198317i | −0.675678 | − | 0.737197i | \(-0.736149\pi\) |
−0.353290 | + | 0.935514i | \(0.614937\pi\) | |||||||
\(614\) | −6.41204 | + | 9.00445i | −0.258769 | + | 0.363390i | ||||
\(615\) | −9.45122 | + | 6.07393i | −0.381110 | + | 0.244925i | ||||
\(616\) | −0.0141350 | − | 14.5958i | −0.000569515 | − | 0.588082i | ||||
\(617\) | 39.2982 | + | 25.2554i | 1.58209 | + | 1.01674i | 0.975027 | + | 0.222087i | \(0.0712869\pi\) |
0.607058 | + | 0.794657i | \(0.292349\pi\) | |||||||
\(618\) | −4.72347 | − | 0.910375i | −0.190006 | − | 0.0366207i | ||||
\(619\) | −17.8927 | + | 17.0606i | −0.719167 | + | 0.685724i | −0.958461 | − | 0.285223i | \(-0.907932\pi\) |
0.239294 | + | 0.970947i | \(0.423084\pi\) | |||||||
\(620\) | −2.01399 | + | 3.48834i | −0.0808838 | + | 0.140095i | ||||
\(621\) | 3.73857 | + | 3.00384i | 0.150024 | + | 0.120540i | ||||
\(622\) | 15.2554 | 0.611685 | ||||||||
\(623\) | −11.5645 | + | 14.7347i | −0.463320 | + | 0.590335i | ||||
\(624\) | −3.72982 | + | 4.30444i | −0.149312 | + | 0.172316i | ||||
\(625\) | −1.48097 | + | 31.0895i | −0.0592390 | + | 1.24358i | ||||
\(626\) | −36.7831 | − | 28.9266i | −1.47015 | − | 1.15614i | ||||
\(627\) | −0.693404 | − | 14.5563i | −0.0276919 | − | 0.581324i | ||||
\(628\) | 1.34129 | − | 1.88358i | 0.0535232 | − | 0.0751628i | ||||
\(629\) | 9.50833 | + | 10.9732i | 0.379122 | + | 0.437530i | ||||
\(630\) | 7.73542 | − | 8.12842i | 0.308186 | − | 0.323844i | ||||
\(631\) | −11.4313 | + | 25.0310i | −0.455072 | + | 0.996468i | 0.533511 | + | 0.845793i | \(0.320872\pi\) |
−0.988583 | + | 0.150675i | \(0.951855\pi\) | |||||||
\(632\) | 0.710310 | + | 0.677279i | 0.0282546 | + | 0.0269407i | ||||
\(633\) | 2.68178 | − | 11.0545i | 0.106591 | − | 0.439375i | ||||
\(634\) | 12.4552 | + | 17.4909i | 0.494659 | + | 0.694651i | ||||
\(635\) | −10.5728 | + | 8.31455i | −0.419569 | + | 0.329953i | ||||
\(636\) | −1.96104 | − | 2.26317i | −0.0777605 | − | 0.0897404i | ||||
\(637\) | 8.70391 | − | 1.69503i | 0.344861 | − | 0.0671596i | ||||
\(638\) | 20.3644 | − | 13.0874i | 0.806233 | − | 0.518135i | ||||
\(639\) | 10.7779 | − | 4.31482i | 0.426367 | − | 0.170692i | ||||
\(640\) | −32.7201 | + | 16.8684i | −1.29337 | + | 0.666781i | ||||
\(641\) | 9.23442 | + | 26.6811i | 0.364738 | + | 1.05384i | 0.966832 | + | 0.255415i | \(0.0822120\pi\) |
−0.602094 | + | 0.798425i | \(0.705667\pi\) | |||||||
\(642\) | −5.55695 | − | 22.9061i | −0.219315 | − | 0.904031i | ||||
\(643\) | 2.91487 | 0.114951 | 0.0574756 | − | 0.998347i | \(-0.481695\pi\) | ||||
0.0574756 | + | 0.998347i | \(0.481695\pi\) | |||||||
\(644\) | 0.384736 | − | 3.66166i | 0.0151607 | − | 0.144290i | ||||
\(645\) | −10.2953 | −0.405377 | ||||||||
\(646\) | 4.46775 | + | 18.4163i | 0.175781 | + | 0.724580i | ||||
\(647\) | 10.7171 | + | 30.9651i | 0.421334 | + | 1.21736i | 0.933531 | + | 0.358496i | \(0.116710\pi\) |
−0.512197 | + | 0.858868i | \(0.671168\pi\) | |||||||
\(648\) | −2.29990 | + | 1.18568i | −0.0903485 | + | 0.0465779i | ||||
\(649\) | 18.2477 | − | 7.30527i | 0.716284 | − | 0.286757i | ||||
\(650\) | 4.60261 | − | 2.95792i | 0.180529 | − | 0.116019i | ||||
\(651\) | −13.0897 | + | 0.636247i | −0.513027 | + | 0.0249365i | ||||
\(652\) | 4.25124 | + | 4.90620i | 0.166492 | + | 0.192142i | ||||
\(653\) | −8.54244 | + | 6.71785i | −0.334291 | + | 0.262890i | −0.771168 | − | 0.636632i | \(-0.780327\pi\) |
0.436877 | + | 0.899521i | \(0.356085\pi\) | |||||||
\(654\) | 5.44044 | + | 7.64002i | 0.212738 | + | 0.298749i | ||||
\(655\) | 12.2107 | − | 50.3333i | 0.477113 | − | 1.96669i | ||||
\(656\) | −13.0448 | − | 12.4382i | −0.509312 | − | 0.485628i | ||||
\(657\) | 1.16916 | − | 2.56010i | 0.0456133 | − | 0.0998792i | ||||
\(658\) | −13.4305 | − | 45.5769i | −0.523577 | − | 1.77677i | ||||
\(659\) | 4.32859 | + | 4.99546i | 0.168618 | + | 0.194595i | 0.833769 | − | 0.552113i | \(-0.186178\pi\) |
−0.665151 | + | 0.746709i | \(0.731633\pi\) | |||||||
\(660\) | −1.00567 | + | 1.41227i | −0.0391457 | + | 0.0549725i | ||||
\(661\) | −0.644858 | − | 13.5372i | −0.0250821 | − | 0.526537i | −0.976089 | − | 0.217369i | \(-0.930252\pi\) |
0.951007 | − | 0.309168i | \(-0.100051\pi\) | |||||||
\(662\) | 42.6915 | + | 33.5730i | 1.65925 | + | 1.30485i | ||||
\(663\) | −0.110427 | + | 2.31815i | −0.00428864 | + | 0.0900296i | ||||
\(664\) | 3.47805 | − | 4.01388i | 0.134974 | − | 0.155769i | ||||
\(665\) | 50.1721 | + | 7.16407i | 1.94559 | + | 0.277811i | ||||
\(666\) | 11.9937 | 0.464747 | ||||||||
\(667\) | −32.1525 | + | 16.1525i | −1.24495 | + | 0.625427i | ||||
\(668\) | 1.45489 | − | 2.51994i | 0.0562912 | − | 0.0974992i | ||||
\(669\) | −17.2621 | + | 16.4594i | −0.667391 | + | 0.636356i | ||||
\(670\) | −9.91621 | − | 1.91119i | −0.383096 | − | 0.0738358i | ||||
\(671\) | 1.78073 | + | 1.14441i | 0.0687443 | + | 0.0441793i | ||||
\(672\) | 3.73473 | + | 2.15143i | 0.144071 | + | 0.0829932i | ||||
\(673\) | 12.0829 | − | 7.76520i | 0.465761 | − | 0.299327i | −0.286632 | − | 0.958041i | \(-0.592536\pi\) |
0.752393 | + | 0.658714i | \(0.228899\pi\) | |||||||
\(674\) | 22.0846 | − | 31.0134i | 0.850666 | − | 1.19459i | ||||
\(675\) | 2.80236 | − | 0.540111i | 0.107863 | − | 0.0207889i | ||||
\(676\) | −3.06969 | − | 1.22892i | −0.118065 | − | 0.0472661i | ||||
\(677\) | −27.5270 | + | 2.62851i | −1.05795 | + | 0.101022i | −0.609499 | − | 0.792787i | \(-0.708629\pi\) |
−0.448448 | + | 0.893809i | \(0.648023\pi\) | |||||||
\(678\) | 9.85381 | − | 2.89334i | 0.378433 | − | 0.111118i | ||||
\(679\) | 13.4053 | + | 9.52634i | 0.514450 | + | 0.365588i | ||||
\(680\) | −5.51884 | + | 12.0846i | −0.211638 | + | 0.463422i | ||||
\(681\) | 3.56198 | − | 2.80117i | 0.136495 | − | 0.107341i | ||||
\(682\) | 15.6928 | − | 3.02454i | 0.600908 | − | 0.115815i | ||||
\(683\) | −12.5866 | − | 1.20188i | −0.481614 | − | 0.0459885i | −0.148574 | − | 0.988901i | \(-0.547468\pi\) |
−0.333040 | + | 0.942913i | \(0.608074\pi\) | |||||||
\(684\) | 1.76288 | + | 0.908828i | 0.0674055 | + | 0.0347499i | ||||
\(685\) | −5.82828 | + | 40.5366i | −0.222687 | + | 1.54882i | ||||
\(686\) | −10.4922 | − | 25.9892i | −0.400595 | − | 0.992274i | ||||
\(687\) | 8.02355 | − | 9.25968i | 0.306118 | − | 0.353279i | ||||
\(688\) | −3.89407 | − | 16.0516i | −0.148460 | − | 0.611960i | ||||
\(689\) | 6.53669 | − | 11.3219i | 0.249028 | − | 0.431330i | ||||
\(690\) | 13.4796 | − | 15.2315i | 0.513158 | − | 0.579853i | ||||
\(691\) | −22.6761 | − | 39.2762i | −0.862641 | − | 1.49414i | −0.869370 | − | 0.494161i | \(-0.835475\pi\) |
0.00672880 | − | 0.999977i | \(-0.497858\pi\) | |||||||
\(692\) | −6.40093 | − | 1.87948i | −0.243327 | − | 0.0714472i | ||||
\(693\) | −5.63467 | − | 0.262944i | −0.214044 | − | 0.00998841i | ||||
\(694\) | 5.93755 | + | 3.81583i | 0.225386 | + | 0.144847i | ||||
\(695\) | 24.2466 | − | 9.70688i | 0.919726 | − | 0.368203i | ||||
\(696\) | −0.923735 | − | 19.3916i | −0.0350141 | − | 0.735036i | ||||
\(697\) | −7.31108 | − | 0.698123i | −0.276927 | − | 0.0264433i | ||||
\(698\) | −11.1595 | + | 32.2433i | −0.422394 | + | 1.22043i | ||||
\(699\) | −0.0808262 | − | 0.562159i | −0.00305713 | − | 0.0212628i | ||||
\(700\) | −1.51350 | − | 1.58424i | −0.0572050 | − | 0.0598786i | ||||
\(701\) | −45.6270 | + | 13.3973i | −1.72331 | + | 0.506009i | −0.985597 | − | 0.169109i | \(-0.945911\pi\) |
−0.737710 | + | 0.675118i | \(0.764093\pi\) | |||||||
\(702\) | 1.38743 | + | 1.32291i | 0.0523653 | + | 0.0499302i | ||||
\(703\) | 31.4227 | + | 44.1269i | 1.18513 | + | 1.66428i | ||||
\(704\) | 12.9188 | + | 5.17193i | 0.486897 | + | 0.194924i | ||||
\(705\) | 10.8774 | − | 31.4282i | 0.409667 | − | 1.18366i | ||||
\(706\) | 11.0990 | + | 24.3034i | 0.417717 | + | 0.914672i | ||||
\(707\) | 21.7506 | − | 18.8839i | 0.818016 | − | 0.710203i | ||||
\(708\) | −0.380711 | + | 2.64790i | −0.0143080 | + | 0.0995142i | ||||
\(709\) | −1.06317 | + | 22.3187i | −0.0399283 | + | 0.838198i | 0.886729 | + | 0.462290i | \(0.152972\pi\) |
−0.926657 | + | 0.375908i | \(0.877331\pi\) | |||||||
\(710\) | −16.1038 | − | 46.5290i | −0.604366 | − | 1.74620i | ||||
\(711\) | 0.274512 | − | 0.261746i | 0.0102950 | − | 0.00981626i | ||||
\(712\) | −9.15943 | − | 15.8646i | −0.343264 | − | 0.594551i | ||||
\(713\) | −23.6699 | + | 2.01069i | −0.886446 | + | 0.0753011i | ||||
\(714\) | 7.25962 | − | 1.05095i | 0.271684 | − | 0.0393309i | ||||
\(715\) | −7.26235 | − | 2.13242i | −0.271596 | − | 0.0797479i | ||||
\(716\) | −3.79742 | − | 0.731892i | −0.141916 | − | 0.0273521i | ||||
\(717\) | 6.29088 | − | 3.24317i | 0.234937 | − | 0.121118i | ||||
\(718\) | 16.5821 | + | 13.0403i | 0.618840 | + | 0.486661i | ||||
\(719\) | 24.3696 | + | 12.5634i | 0.908831 | + | 0.468535i | 0.848231 | − | 0.529627i | \(-0.177668\pi\) |
0.0606006 | + | 0.998162i | \(0.480698\pi\) | |||||||
\(720\) | 5.23438 | + | 11.4617i | 0.195074 | + | 0.427152i | ||||
\(721\) | −7.94481 | + | 2.75834i | −0.295880 | + | 0.102726i | ||||
\(722\) | 5.97007 | + | 41.5227i | 0.222183 | + | 1.54532i | ||||
\(723\) | −16.7014 | + | 1.59479i | −0.621132 | + | 0.0593109i | ||||
\(724\) | 1.12963 | − | 4.65641i | 0.0419824 | − | 0.173054i | ||||
\(725\) | −5.04814 | + | 20.8087i | −0.187483 | + | 0.772816i | ||||
\(726\) | −9.72352 | + | 0.928483i | −0.360874 | + | 0.0344593i | ||||
\(727\) | 4.53197 | + | 31.5206i | 0.168082 | + | 1.16903i | 0.882844 | + | 0.469666i | \(0.155626\pi\) |
−0.714762 | + | 0.699367i | \(0.753465\pi\) | |||||||
\(728\) | −1.63300 | + | 8.51719i | −0.0605230 | + | 0.315668i | ||||
\(729\) | 0.415415 | + | 0.909632i | 0.0153857 | + | 0.0336901i | ||||
\(730\) | −10.6094 | − | 5.46952i | −0.392671 | − | 0.202436i | ||||
\(731\) | −5.29032 | − | 4.16036i | −0.195670 | − | 0.153876i | ||||
\(732\) | −0.256065 | + | 0.132011i | −0.00946443 | + | 0.00487925i | ||||
\(733\) | −2.27110 | − | 0.437719i | −0.0838850 | − | 0.0161675i | 0.147136 | − | 0.989116i | \(-0.452995\pi\) |
−0.231021 | + | 0.972949i | \(0.574207\pi\) | |||||||
\(734\) | 41.8919 | + | 12.3006i | 1.54626 | + | 0.454022i | ||||
\(735\) | 4.58805 | − | 19.0734i | 0.169233 | − | 0.703531i | ||||
\(736\) | 6.90640 | + | 3.65240i | 0.254573 | + | 0.134629i | ||||
\(737\) | 2.53834 | + | 4.39654i | 0.0935011 | + | 0.161949i | ||||
\(738\) | −4.39066 | + | 4.18649i | −0.161623 | + | 0.154107i | ||||
\(739\) | −0.0324942 | − | 0.0938858i | −0.00119532 | − | 0.00345364i | 0.944402 | − | 0.328794i | \(-0.106642\pi\) |
−0.945597 | + | 0.325341i | \(0.894521\pi\) | |||||||
\(740\) | 0.306659 | − | 6.43756i | 0.0112730 | − | 0.236649i | ||||
\(741\) | −1.23226 | + | 8.57054i | −0.0452681 | + | 0.314847i | ||||
\(742\) | −39.0615 | − | 13.4770i | −1.43399 | − | 0.494755i | ||||
\(743\) | 1.46978 | + | 3.21837i | 0.0539210 | + | 0.118071i | 0.934675 | − | 0.355504i | \(-0.115691\pi\) |
−0.880754 | + | 0.473574i | \(0.842963\pi\) | |||||||
\(744\) | 4.19198 | − | 12.1119i | 0.153685 | − | 0.444045i | ||||
\(745\) | −23.5521 | − | 9.42885i | −0.862883 | − | 0.345446i | ||||
\(746\) | −24.2555 | − | 34.0620i | −0.888056 | − | 1.24710i | ||||
\(747\) | −1.48552 | − | 1.41644i | −0.0543523 | − | 0.0518249i | ||||
\(748\) | −1.08747 | + | 0.319311i | −0.0397620 | + | 0.0116752i | ||||
\(749\) | −28.4658 | − | 29.7962i | −1.04012 | − | 1.08873i | ||||
\(750\) | 1.29530 | + | 9.00900i | 0.0472976 | + | 0.328962i | ||||
\(751\) | −4.63675 | + | 13.3970i | −0.169197 | + | 0.488864i | −0.997440 | − | 0.0715057i | \(-0.977220\pi\) |
0.828243 | + | 0.560369i | \(0.189341\pi\) | |||||||
\(752\) | 53.1145 | + | 5.07182i | 1.93688 | + | 0.184950i | ||||
\(753\) | −0.0156853 | − | 0.329274i | −0.000571603 | − | 0.0119994i | ||||
\(754\) | −13.3528 | + | 5.34564i | −0.486279 | + | 0.194677i | ||||
\(755\) | 37.1392 | + | 23.8679i | 1.35163 | + | 0.868642i | ||||
\(756\) | 0.414431 | − | 0.646243i | 0.0150727 | − | 0.0235036i | ||||
\(757\) | −4.44349 | − | 1.30473i | −0.161501 | − | 0.0474211i | 0.199982 | − | 0.979800i | \(-0.435912\pi\) |
−0.361484 | + | 0.932378i | \(0.617730\pi\) | |||||||
\(758\) | 14.3910 | + | 24.9259i | 0.522704 | + | 0.905350i | ||||
\(759\) | −10.2243 | − | 0.106909i | −0.371118 | − | 0.00388055i | ||||
\(760\) | −24.7829 | + | 42.9253i | −0.898972 | + | 1.55706i | ||||
\(761\) | 0.0387333 | + | 0.159661i | 0.00140408 | + | 0.00578770i | 0.972509 | − | 0.232864i | \(-0.0748097\pi\) |
−0.971105 | + | 0.238652i | \(0.923295\pi\) | |||||||
\(762\) | −4.75639 | + | 5.48917i | −0.172306 | + | 0.198852i | ||||
\(763\) | 14.9223 | + | 6.79733i | 0.540224 | + | 0.246080i | ||||
\(764\) | 0.307198 | − | 2.13661i | 0.0111140 | − | 0.0772997i | ||||
\(765\) | 4.56352 | + | 2.35266i | 0.164994 | + | 0.0850605i | ||||
\(766\) | −27.2989 | − | 2.60673i | −0.986350 | − | 0.0941850i | ||||
\(767\) | −11.4677 | + | 2.21021i | −0.414073 | + | 0.0798060i | ||||
\(768\) | −5.36445 | + | 4.21865i | −0.193573 | + | 0.152227i | ||||
\(769\) | −17.1161 | + | 37.4791i | −0.617224 | + | 1.35153i | 0.300298 | + | 0.953846i | \(0.402914\pi\) |
−0.917522 | + | 0.397686i | \(0.869813\pi\) | |||||||
\(770\) | −2.25098 | + | 23.8170i | −0.0811196 | + | 0.858306i | ||||
\(771\) | −7.53402 | + | 2.21219i | −0.271331 | + | 0.0796700i | ||||
\(772\) | −6.51864 | + | 0.622454i | −0.234611 | + | 0.0224026i | ||||
\(773\) | −3.81795 | − | 1.52848i | −0.137322 | − | 0.0549755i | 0.301983 | − | 0.953313i | \(-0.402351\pi\) |
−0.439306 | + | 0.898338i | \(0.644776\pi\) | |||||||
\(774\) | −5.45895 | + | 1.05213i | −0.196218 | + | 0.0378179i | ||||
\(775\) | −8.19991 | + | 11.5152i | −0.294550 | + | 0.413637i | ||||
\(776\) | −13.5304 | + | 8.69549i | −0.485714 | + | 0.312150i | ||||
\(777\) | 18.1492 | − | 10.5019i | 0.651098 | − | 0.376753i | ||||
\(778\) | −11.7447 | − | 7.54787i | −0.421068 | − | 0.270604i | ||||
\(779\) | −26.9060 | − | 5.18571i | −0.964008 | − | 0.185797i | ||||
\(780\) | 0.745541 | − | 0.710872i | 0.0266947 | − | 0.0254533i | ||||
\(781\) | −12.3759 | + | 21.4357i | −0.442844 | + | 0.767028i | ||||
\(782\) | 13.0817 | − | 2.37970i | 0.467799 | − | 0.0850980i | ||||
\(783\) | −7.50271 | −0.268125 | ||||||||
\(784\) | 31.4729 | − | 0.0609586i | 1.12403 | − | 0.00217709i | ||||
\(785\) | 14.6250 | − | 16.8781i | 0.521987 | − | 0.602405i | ||||
\(786\) | 1.33078 | − | 27.9365i | 0.0474673 | − | 0.996461i | ||||
\(787\) | −5.17523 | − | 4.06984i | −0.184477 | − | 0.145074i | 0.521650 | − | 0.853160i | \(-0.325317\pi\) |
−0.706127 | + | 0.708085i | \(0.749559\pi\) | |||||||
\(788\) | 0.303044 | + | 6.36169i | 0.0107955 | + | 0.226626i | ||||
\(789\) | −9.68215 | + | 13.5967i | −0.344694 | + | 0.484055i | ||||
\(790\) | −1.05344 | − | 1.21573i | −0.0374796 | − | 0.0432537i | ||||
\(791\) | 12.3776 | − | 13.0064i | 0.440095 | − | 0.462454i | ||||
\(792\) | 2.29172 | − | 5.01817i | 0.0814327 | − | 0.178313i | ||||
\(793\) | −0.910243 | − | 0.867915i | −0.0323237 | − | 0.0308206i | ||||
\(794\) | 0.670165 | − | 2.76246i | 0.0237833 | − | 0.0980359i | ||||
\(795\) | −16.7766 | − | 23.5594i | −0.595004 | − | 0.835566i | ||||
\(796\) | −4.05513 | + | 3.18899i | −0.143730 | + | 0.113031i | ||||
\(797\) | −19.1405 | − | 22.0893i | −0.677990 | − | 0.782442i | 0.307614 | − | 0.951511i | \(-0.400469\pi\) |
−0.985604 | + | 0.169069i | \(0.945924\pi\) | |||||||
\(798\) | 27.3352 | − | 1.32867i | 0.967656 | − | 0.0470344i | ||||
\(799\) | 18.2897 | − | 11.7541i | 0.647042 | − | 0.415829i | ||||
\(800\) | 4.31621 | − | 1.72795i | 0.152601 | − | 0.0610922i | ||||
\(801\) | −6.29264 | + | 3.24408i | −0.222339 | + | 0.114624i | ||||
\(802\) | 4.12353 | + | 11.9142i | 0.145607 | + | 0.420704i | ||||
\(803\) | 1.41466 | + | 5.83131i | 0.0499223 | + | 0.205782i | ||||
\(804\) | −0.690936 | −0.0243674 | ||||||||
\(805\) | 7.06067 | − | 34.8516i | 0.248856 | − | 1.22836i | ||||
\(806\) | −9.49571 | −0.334472 | ||||||||
\(807\) | −2.13491 | − | 8.80024i | −0.0751526 | − | 0.309783i | ||||
\(808\) | 9.21371 | + | 26.6213i | 0.324137 | + | 0.936533i | ||||
\(809\) | 8.73285 | − | 4.50209i | 0.307031 | − | 0.158285i | −0.297825 | − | 0.954620i | \(-0.596261\pi\) |
0.604855 | + | 0.796335i | \(0.293231\pi\) | |||||||
\(810\) | 3.93729 | − | 1.57625i | 0.138342 | − | 0.0553839i | ||||
\(811\) | −40.4814 | + | 26.0158i | −1.42150 | + | 0.913540i | −0.421518 | + | 0.906820i | \(0.638503\pi\) |
−0.999977 | + | 0.00671966i | \(0.997861\pi\) | |||||||
\(812\) | 3.11874 | + | 4.84254i | 0.109446 | + | 0.169940i | ||||
\(813\) | 7.44688 | + | 8.59416i | 0.261173 | + | 0.301410i | ||||
\(814\) | −20.1001 | + | 15.8069i | −0.704508 | + | 0.554031i | ||||
\(815\) | 36.3690 | + | 51.0732i | 1.27395 | + | 1.78901i | ||||
\(816\) | −1.94197 | + | 8.00491i | −0.0679826 | + | 0.280228i | ||||
\(817\) | −18.1730 | − | 17.3279i | −0.635793 | − | 0.606227i | ||||
\(818\) | −21.2800 | + | 46.5968i | −0.744039 | + | 1.62922i | ||||
\(819\) | 3.25786 | + | 0.787008i | 0.113839 | + | 0.0275003i | ||||
\(820\) | 2.13481 | + | 2.46371i | 0.0745509 | + | 0.0860363i | ||||
\(821\) | 9.03033 | − | 12.6813i | 0.315161 | − | 0.442581i | −0.626361 | − | 0.779533i | \(-0.715456\pi\) |
0.941522 | + | 0.336952i | \(0.109396\pi\) | |||||||
\(822\) | 1.05226 | + | 22.0896i | 0.0367017 | + | 0.770463i | ||||
\(823\) | −15.8030 | − | 12.4276i | −0.550856 | − | 0.433198i | 0.303541 | − | 0.952818i | \(-0.401831\pi\) |
−0.854397 | + | 0.519620i | \(0.826073\pi\) | |||||||
\(824\) | 0.391360 | − | 8.21567i | 0.0136337 | − | 0.286206i | ||||
\(825\) | −3.98461 | + | 4.59848i | −0.138726 | + | 0.160099i | ||||
\(826\) | 13.7523 | + | 34.2554i | 0.478504 | + | 1.19190i | ||||
\(827\) | −45.0423 | −1.56627 | −0.783137 | − | 0.621849i | \(-0.786382\pi\) | ||||
−0.783137 | + | 0.621849i | \(0.786382\pi\) | |||||||
\(828\) | 0.708362 | − | 1.19782i | 0.0246173 | − | 0.0416270i | ||||
\(829\) | −10.3900 | + | 17.9960i | −0.360859 | + | 0.625025i | −0.988102 | − | 0.153798i | \(-0.950850\pi\) |
0.627244 | + | 0.778823i | \(0.284183\pi\) | |||||||
\(830\) | −6.30022 | + | 6.00725i | −0.218684 | + | 0.208515i | ||||
\(831\) | −9.63826 | − | 1.85762i | −0.334347 | − | 0.0644402i | ||||
\(832\) | −6.95565 | − | 4.47013i | −0.241144 | − | 0.154974i | ||||
\(833\) | 10.0652 | − | 7.94695i | 0.348738 | − | 0.275346i | ||||
\(834\) | 11.8645 | − | 7.62482i | 0.410832 | − | 0.264026i | ||||
\(835\) | 16.3013 | − | 22.8920i | 0.564131 | − | 0.792212i | ||||
\(836\) | −4.15216 | + | 0.800263i | −0.143605 | + | 0.0276777i | ||||
\(837\) | −4.59848 | − | 1.84095i | −0.158947 | − | 0.0636327i | ||||
\(838\) | −4.90270 | + | 0.468151i | −0.169361 | + | 0.0161720i | ||||
\(839\) | 44.5674 | − | 13.0862i | 1.53864 | − | 0.451785i | 0.600957 | − | 0.799281i | \(-0.294786\pi\) |
0.937681 | + | 0.347497i | \(0.112968\pi\) | |||||||
\(840\) | 15.6391 | + | 11.1137i | 0.539599 | + | 0.383460i | ||||
\(841\) | 11.3370 | − | 24.8245i | 0.390930 | − | 0.856017i | ||||
\(842\) | 23.7826 | − | 18.7028i | 0.819601 | − | 0.644542i | ||||
\(843\) | 8.25258 | − | 1.59055i | 0.284234 | − | 0.0547816i | ||||
\(844\) | −3.28575 | − | 0.313751i | −0.113100 | − | 0.0107998i | ||||
\(845\) | −28.3851 | − | 14.6335i | −0.976477 | − | 0.503409i | ||||
\(846\) | 2.55581 | − | 17.7760i | 0.0878704 | − | 0.611152i | ||||
\(847\) | −13.9009 | + | 9.91906i | −0.477639 | + | 0.340823i | ||||
\(848\) | 30.3863 | − | 35.0676i | 1.04347 | − | 1.20423i | ||||
\(849\) | −4.72056 | − | 19.4584i | −0.162009 | − | 0.667811i | ||||
\(850\) | 3.95624 | − | 6.85242i | 0.135698 | − | 0.235036i | ||||
\(851\) | 32.1881 | − | 20.2137i | 1.10340 | − | 0.692915i | ||||
\(852\) | −1.68436 | − | 2.91739i | −0.0577051 | − | 0.0999481i | ||||
\(853\) | −9.94094 | − | 2.91892i | −0.340371 | − | 0.0999420i | 0.107080 | − | 0.994250i | \(-0.465850\pi\) |
−0.447451 | + | 0.894308i | \(0.647668\pi\) | |||||||
\(854\) | −2.14593 | + | 3.34625i | −0.0734322 | + | 0.114506i | ||||
\(855\) | 16.1147 | + | 10.3563i | 0.551112 | + | 0.354178i | ||||
\(856\) | 37.4147 | − | 14.9786i | 1.27881 | − | 0.511957i | ||||
\(857\) | −1.01422 | − | 21.2910i | −0.0346449 | − | 0.727287i | −0.947645 | − | 0.319327i | \(-0.896543\pi\) |
0.913000 | − | 0.407960i | \(-0.133760\pi\) | |||||||
\(858\) | −4.06869 | − | 0.388512i | −0.138903 | − | 0.0132636i | ||||
\(859\) | −2.50384 | + | 7.23436i | −0.0854298 | + | 0.246833i | −0.979622 | − | 0.200850i | \(-0.935630\pi\) |
0.894192 | + | 0.447683i | \(0.147751\pi\) | |||||||
\(860\) | 0.425147 | + | 2.95696i | 0.0144974 | + | 0.100832i | ||||
\(861\) | −2.97830 | + | 10.1796i | −0.101500 | + | 0.346920i | ||||
\(862\) | −18.3973 | + | 5.40192i | −0.626613 | + | 0.183990i | ||||
\(863\) | 31.6919 | + | 30.2182i | 1.07881 | + | 1.02864i | 0.999495 | + | 0.0317889i | \(0.0101204\pi\) |
0.0793107 | + | 0.996850i | \(0.474728\pi\) | |||||||
\(864\) | 0.944949 | + | 1.32699i | 0.0321478 | + | 0.0451453i | ||||
\(865\) | −59.8157 | − | 23.9466i | −2.03380 | − | 0.814209i | ||||
\(866\) | −6.73610 | + | 19.4627i | −0.228902 | + | 0.661369i | ||||
\(867\) | −5.66777 | − | 12.4107i | −0.192488 | − | 0.421489i | ||||
\(868\) | 0.723283 | + | 3.73329i | 0.0245498 | + | 0.126716i | ||||
\(869\) | −0.115086 | + | 0.800444i | −0.00390404 | + | 0.0271532i | ||||
\(870\) | −1.51404 | + | 31.7836i | −0.0513308 | + | 1.07757i | ||||
\(871\) | −0.986565 | − | 2.85049i | −0.0334285 | − | 0.0965852i | ||||
\(872\) | −11.6063 | + | 11.0666i | −0.393041 | + | 0.374763i | ||||
\(873\) | 3.10791 | + | 5.38305i | 0.105187 | + | 0.182189i | ||||
\(874\) | 49.4297 | − | 4.19892i | 1.67199 | − | 0.142031i | ||||
\(875\) | 9.84849 | + | 12.4984i | 0.332940 | + | 0.422524i | ||||
\(876\) | −0.783580 | − | 0.230080i | −0.0264747 | − | 0.00777368i | ||||
\(877\) | 48.8373 | + | 9.41261i | 1.64912 | + | 0.317841i | 0.927322 | − | 0.374265i | \(-0.122105\pi\) |
0.721796 | + | 0.692106i | \(0.243317\pi\) | |||||||
\(878\) | −43.5841 | + | 22.4692i | −1.47089 | + | 0.758298i | ||||
\(879\) | 5.62760 | + | 4.42559i | 0.189814 | + | 0.149272i | ||||
\(880\) | −23.8779 | − | 12.3099i | −0.804925 | − | 0.414968i | ||||
\(881\) | −18.7784 | − | 41.1190i | −0.632661 | − | 1.38533i | −0.905943 | − | 0.423401i | \(-0.860836\pi\) |
0.273281 | − | 0.961934i | \(-0.411891\pi\) | |||||||
\(882\) | 0.483555 | − | 10.5823i | 0.0162821 | − | 0.356324i | ||||
\(883\) | 0.936668 | + | 6.51467i | 0.0315214 | + | 0.219236i | 0.999494 | − | 0.0318214i | \(-0.0101308\pi\) |
−0.967972 | + | 0.251057i | \(0.919222\pi\) | |||||||
\(884\) | 0.670368 | − | 0.0640123i | 0.0225469 | − | 0.00215297i | ||||
\(885\) | −6.09126 | + | 25.1085i | −0.204755 | + | 0.844014i | ||||
\(886\) | −6.67110 | + | 27.4987i | −0.224120 | + | 0.923835i | ||||
\(887\) | −9.74491 | + | 0.930526i | −0.327202 | + | 0.0312440i | −0.257365 | − | 0.966314i | \(-0.582854\pi\) |
−0.0698375 | + | 0.997558i | \(0.522248\pi\) | |||||||
\(888\) | 2.91849 | + | 20.2985i | 0.0979379 | + | 0.681173i | ||||
\(889\) | −2.39108 | + | 12.4711i | −0.0801944 | + | 0.418267i | ||||
\(890\) | 12.4730 | + | 27.3121i | 0.418096 | + | 0.915502i | ||||
\(891\) | −1.89502 | − | 0.976950i | −0.0634855 | − | 0.0327291i | ||||
\(892\) | 5.44021 | + | 4.27823i | 0.182152 | + | 0.143246i | ||||
\(893\) | 72.0970 | − | 37.1686i | 2.41264 | − | 1.24380i | ||||
\(894\) | −13.4518 | − | 2.59262i | −0.449895 | − | 0.0867101i | ||||
\(895\) | −35.8380 | − | 10.5230i | −1.19793 | − | 0.351745i | ||||
\(896\) | −12.8853 | + | 32.2765i | −0.430468 | + | 1.07828i | ||||
\(897\) | 5.95310 | + | 1.21206i | 0.198768 | + | 0.0404694i | ||||
\(898\) | −15.7475 | − | 27.2754i | −0.525500 | − | 0.910193i | ||||
\(899\) | 26.8962 | − | 25.6455i | 0.897040 | − | 0.855326i | ||||
\(900\) | −0.270852 | − | 0.782576i | −0.00902840 | − | 0.0260859i | ||||
\(901\) | 0.899633 | − | 18.8856i | 0.0299711 | − | 0.629172i | ||||
\(902\) | 1.84074 | − | 12.8027i | 0.0612901 | − | 0.426282i | ||||
\(903\) | −7.33935 | + | 6.37204i | −0.244238 | + | 0.212048i | ||||
\(904\) | 7.29454 | + | 15.9728i | 0.242613 | + | 0.531248i | ||||
\(905\) | 15.1356 | − | 43.7316i | 0.503126 | − | 1.45369i | ||||
\(906\) | 22.1317 | + | 8.86021i | 0.735278 | + | 0.294361i | ||||
\(907\) | 25.7345 | + | 36.1390i | 0.854500 | + | 1.19998i | 0.978202 | + | 0.207658i | \(0.0665840\pi\) |
−0.123702 | + | 0.992319i | \(0.539477\pi\) | |||||||
\(908\) | −0.951629 | − | 0.907377i | −0.0315809 | − | 0.0301124i | ||||
\(909\) | 10.4460 | − | 3.06723i | 0.346473 | − | 0.101734i | ||||
\(910\) | 3.99142 | − | 13.6424i | 0.132314 | − | 0.452241i | ||||
\(911\) | −6.46642 | − | 44.9750i | −0.214242 | − | 1.49009i | −0.758778 | − | 0.651349i | \(-0.774203\pi\) |
0.544536 | − | 0.838738i | \(-0.316706\pi\) | |||||||
\(912\) | −10.0515 | + | 29.0418i | −0.332838 | + | 0.961671i | ||||
\(913\) | 4.35633 | + | 0.415979i | 0.144173 | + | 0.0137669i | ||||
\(914\) | −0.707350 | − | 14.8491i | −0.0233971 | − | 0.491165i | ||||
\(915\) | −2.58311 | + | 1.03412i | −0.0853949 | + | 0.0341870i | ||||
\(916\) | −2.99085 | − | 1.92210i | −0.0988204 | − | 0.0635080i | ||||
\(917\) | −22.4478 | − | 43.4393i | −0.741292 | − | 1.43449i | ||||
\(918\) | 2.66018 | + | 0.781098i | 0.0877989 | + | 0.0257801i | ||||
\(919\) | −0.677541 | − | 1.17354i | −0.0223500 | − | 0.0387114i | 0.854634 | − | 0.519231i | \(-0.173781\pi\) |
−0.876984 | + | 0.480519i | \(0.840448\pi\) | |||||||
\(920\) | 29.0583 | + | 19.1069i | 0.958023 | + | 0.629934i | ||||
\(921\) | −3.65226 | + | 6.32590i | −0.120346 | + | 0.208446i | ||||
\(922\) | −0.951025 | − | 3.92018i | −0.0313203 | − | 0.129104i | ||||
\(923\) | 9.63080 | − | 11.1145i | 0.317002 | − | 0.365839i | ||||
\(924\) | 0.157164 | + | 1.62922i | 0.00517031 | + | 0.0535974i | ||||
\(925\) | 3.21895 | − | 22.3883i | 0.105839 | − | 0.736124i | ||||
\(926\) | 52.4676 | + | 27.0489i | 1.72419 | + | 0.888882i | ||||
\(927\) | −3.16429 | − | 0.302154i | −0.103929 | − | 0.00992402i | ||||
\(928\) | −12.0015 | + | 2.31310i | −0.393969 | + | 0.0759313i | ||||
\(929\) | −2.82988 | + | 2.22544i | −0.0928453 | + | 0.0730144i | −0.663503 | − | 0.748174i | \(-0.730931\pi\) |
0.570657 | + | 0.821188i | \(0.306688\pi\) | |||||||
\(930\) | −8.72678 | + | 19.1090i | −0.286162 | + | 0.626608i | ||||
\(931\) | 40.2009 | − | 25.9457i | 1.31753 | − | 0.850335i | ||||
\(932\) | −0.158123 | + | 0.0464290i | −0.00517947 | + | 0.00152083i | ||||
\(933\) | 10.0350 | − | 0.958229i | 0.328532 | − | 0.0313710i | ||||
\(934\) | 47.7568 | + | 19.1190i | 1.56265 | + | 0.625591i | ||||
\(935\) | −10.7486 | + | 2.07162i | −0.351516 | + | 0.0677491i | ||||
\(936\) | −1.90133 | + | 2.67004i | −0.0621469 | + | 0.0872730i | ||||
\(937\) | −30.3910 | + | 19.5311i | −0.992832 | + | 0.638054i | −0.932895 | − | 0.360148i | \(-0.882726\pi\) |
−0.0599367 | + | 0.998202i | \(0.519090\pi\) | |||||||
\(938\) | −8.25198 | + | 4.77495i | −0.269437 | + | 0.155908i | ||||
\(939\) | −26.0130 | − | 16.7175i | −0.848901 | − | 0.545556i | ||||
\(940\) | −9.47583 | − | 1.82632i | −0.309068 | − | 0.0595679i | ||||
\(941\) | 3.56845 | − | 3.40251i | 0.116328 | − | 0.110919i | −0.629683 | − | 0.776852i | \(-0.716815\pi\) |
0.746011 | + | 0.665934i | \(0.231967\pi\) | |||||||
\(942\) | 6.02984 | − | 10.4440i | 0.196463 | − | 0.340283i | ||||
\(943\) | −4.72773 | + | 18.6353i | −0.153956 | + | 0.606849i | ||||
\(944\) | −41.4510 | −1.34912 | ||||||||
\(945\) | 4.57781 | − | 5.83277i | 0.148916 | − | 0.189740i | ||||
\(946\) | 7.76194 | − | 8.95775i | 0.252362 | − | 0.291242i | ||||
\(947\) | 1.30910 | − | 27.4815i | 0.0425401 | − | 0.893027i | −0.872241 | − | 0.489077i | \(-0.837334\pi\) |
0.914781 | − | 0.403951i | \(-0.132363\pi\) | |||||||
\(948\) | −0.0865134 | − | 0.0680349i | −0.00280983 | − | 0.00220967i | ||||
\(949\) | −0.169642 | − | 3.56122i | −0.00550681 | − | 0.115602i | ||||
\(950\) | 17.1238 | − | 24.0471i | 0.555570 | − | 0.780189i | ||||
\(951\) | 9.29169 | + | 10.7232i | 0.301304 | + | 0.347723i | ||||
\(952\) | 3.54518 | + | 12.0307i | 0.114900 | + | 0.389916i | ||||
\(953\) | 1.71117 | − | 3.74693i | 0.0554301 | − | 0.121375i | −0.879890 | − | 0.475177i | \(-0.842384\pi\) |
0.935320 | + | 0.353802i | \(0.115111\pi\) | |||||||
\(954\) | −11.3032 | − | 10.7776i | −0.365955 | − | 0.348937i | ||||
\(955\) | 4.91507 | − | 20.2602i | 0.159048 | − | 0.655605i | ||||
\(956\) | −1.19127 | − | 1.67290i | −0.0385284 | − | 0.0541056i | ||||
\(957\) | 12.5737 | − | 9.88805i | 0.406449 | − | 0.319635i | ||||
\(958\) | −17.5408 | − | 20.2432i | −0.566718 | − | 0.654028i | ||||
\(959\) | 20.9343 | + | 32.5051i | 0.676003 | + | 1.04964i | ||||
\(960\) | −15.3880 | + | 9.88927i | −0.496646 | + | 0.319175i | ||||
\(961\) | −6.00177 | + | 2.40275i | −0.193606 | + | 0.0775080i | ||||
\(962\) | 13.5044 | − | 6.96199i | 0.435399 | − | 0.224464i | ||||
\(963\) | −5.09416 | − | 14.7186i | −0.164157 | − | 0.474301i | ||||
\(964\) | 1.14774 | + | 4.73103i | 0.0369661 | + | 0.152376i | ||||
\(965\) | −63.2444 | −2.03591 | ||||||||
\(966\) | 0.182178 | − | 19.2011i | 0.00586148 | − | 0.617787i | ||||
\(967\) | 45.0500 | 1.44871 | 0.724355 | − | 0.689427i | \(-0.242138\pi\) | ||||
0.724355 | + | 0.689427i | \(0.242138\pi\) | |||||||
\(968\) | −3.93746 | − | 16.2304i | −0.126555 | − | 0.521666i | ||||
\(969\) | 4.09567 | + | 11.8337i | 0.131572 | + | 0.380152i | ||||
\(970\) | 23.4313 | − | 12.0797i | 0.752334 | − | 0.387855i | ||||
\(971\) | −25.4111 | + | 10.1731i | −0.815480 | + | 0.326469i | −0.741637 | − | 0.670801i | \(-0.765950\pi\) |
−0.0738424 | + | 0.997270i | \(0.523526\pi\) | |||||||
\(972\) | 0.244105 | − | 0.156877i | 0.00782967 | − | 0.00503182i | ||||
\(973\) | 11.2772 | − | 21.9267i | 0.361529 | − | 0.702939i | ||||
\(974\) | −9.04148 | − | 10.4344i | −0.289708 | − | 0.334341i | ||||
\(975\) | 2.84181 | − | 2.23483i | 0.0910109 | − | 0.0715718i | ||||
\(976\) | −2.58934 | − | 3.63622i | −0.0828828 | − | 0.116393i | ||||
\(977\) | 12.8770 | − | 53.0798i | 0.411972 | − | 1.69817i | −0.266741 | − | 0.963768i | \(-0.585947\pi\) |
0.678713 | − | 0.734404i | \(-0.262538\pi\) | |||||||
\(978\) | 24.5036 | + | 23.3641i | 0.783539 | + | 0.747103i | ||||
\(979\) | 6.27026 | − | 13.7300i | 0.200398 | − | 0.438811i | ||||
\(980\) | −5.66761 | − | 0.530116i | −0.181045 | − | 0.0169339i | ||||
\(981\) | 4.05862 | + | 4.68390i | 0.129582 | + | 0.149545i | ||||
\(982\) | 21.3747 | − | 30.0165i | 0.682094 | − | 0.957866i | ||||
\(983\) | −1.80514 | − | 37.8945i | −0.0575749 | − | 1.20865i | −0.824105 | − | 0.566437i | \(-0.808321\pi\) |
0.766530 | − | 0.642208i | \(-0.221982\pi\) | |||||||
\(984\) | −8.15373 | − | 6.41217i | −0.259931 | − | 0.204412i | ||||
\(985\) | −2.92685 | + | 61.4421i | −0.0932572 | + | 1.95771i | ||||
\(986\) | −13.6218 | + | 15.7204i | −0.433808 | + | 0.500641i | ||||
\(987\) | −11.6974 | − | 29.1370i | −0.372334 | − | 0.927440i | ||||
\(988\) | 2.51247 | 0.0799324 | ||||||||
\(989\) | −12.8773 | + | 12.0239i | −0.409473 | + | 0.382338i | ||||
\(990\) | −4.52105 | + | 7.83069i | −0.143688 | + | 0.248876i | ||||
\(991\) | 39.9711 | − | 38.1124i | 1.26973 | − | 1.21068i | 0.303544 | − | 0.952817i | \(-0.401830\pi\) |
0.966181 | − | 0.257863i | \(-0.0830183\pi\) | |||||||
\(992\) | −7.92340 | − | 1.52711i | −0.251568 | − | 0.0484858i | ||||
\(993\) | 30.1914 | + | 19.4028i | 0.958094 | + | 0.615730i | ||||
\(994\) | −40.2782 | − | 23.2026i | −1.27755 | − | 0.735943i | ||||
\(995\) | −41.9154 | + | 26.9374i | −1.32881 | + | 0.853973i | ||||
\(996\) | −0.345478 | + | 0.485155i | −0.0109469 | + | 0.0153727i | ||||
\(997\) | −31.3033 | + | 6.03321i | −0.991385 | + | 0.191074i | −0.659059 | − | 0.752091i | \(-0.729045\pi\) |
−0.332325 | + | 0.943165i | \(0.607833\pi\) | |||||||
\(998\) | 2.67845 | + | 1.07229i | 0.0847850 | + | 0.0339428i | ||||
\(999\) | 7.88950 | − | 0.753355i | 0.249613 | − | 0.0238351i |
(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 | 483.2.y.b.340.5 | yes | 320 | |
7.2 | even | 3 | inner | 483.2.y.b.478.5 | yes | 320 | |
23.9 | even | 11 | inner | 483.2.y.b.193.5 | ✓ | 320 | |
161.9 | even | 33 | inner | 483.2.y.b.331.5 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.y.b.193.5 | ✓ | 320 | 23.9 | even | 11 | inner | |
483.2.y.b.331.5 | yes | 320 | 161.9 | even | 33 | inner | |
483.2.y.b.340.5 | yes | 320 | 1.1 | even | 1 | trivial | |
483.2.y.b.478.5 | yes | 320 | 7.2 | even | 3 | inner |