Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.39 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.39 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.485097 | − | 1.23601i | 0.343015 | − | 0.873989i | −0.650418 | − | 0.759576i | \(-0.725406\pi\) |
0.993433 | − | 0.114412i | \(-0.0364985\pi\) | |||||||
\(3\) | 0.455479 | − | 1.67109i | 0.262971 | − | 0.964804i | ||||
\(4\) | 0.173711 | + | 0.161180i | 0.0868553 | + | 0.0805900i | ||||
\(5\) | −2.77602 | + | 1.33686i | −1.24148 | + | 0.597863i | −0.935214 | − | 0.354084i | \(-0.884793\pi\) |
−0.306262 | + | 0.951947i | \(0.599078\pi\) | |||||||
\(6\) | −1.84453 | − | 1.37362i | −0.753024 | − | 0.560776i | ||||
\(7\) | 2.57021 | − | 0.627724i | 0.971447 | − | 0.237257i | ||||
\(8\) | 2.67608 | − | 1.28873i | 0.946139 | − | 0.455636i | ||||
\(9\) | −2.58508 | − | 1.52229i | −0.861692 | − | 0.507431i | ||||
\(10\) | 0.305731 | + | 4.07969i | 0.0966805 | + | 1.29011i | ||||
\(11\) | −3.53921 | − | 4.43803i | −1.06711 | − | 1.33812i | −0.938057 | − | 0.346481i | \(-0.887377\pi\) |
−0.129056 | − | 0.991637i | \(-0.541195\pi\) | |||||||
\(12\) | 0.348468 | − | 0.216872i | 0.100594 | − | 0.0626055i | ||||
\(13\) | 1.73107 | − | 4.41069i | 0.480112 | − | 1.22331i | −0.461661 | − | 0.887056i | \(-0.652746\pi\) |
0.941773 | − | 0.336249i | \(-0.109158\pi\) | |||||||
\(14\) | 0.470928 | − | 3.48130i | 0.125861 | − | 0.930416i | ||||
\(15\) | 0.969595 | + | 5.24790i | 0.250348 | + | 1.35500i | ||||
\(16\) | −0.259307 | − | 3.46020i | −0.0648266 | − | 0.865051i | ||||
\(17\) | −2.81731 | + | 2.61409i | −0.683299 | + | 0.634009i | −0.943433 | − | 0.331564i | \(-0.892424\pi\) |
0.260134 | + | 0.965573i | \(0.416233\pi\) | |||||||
\(18\) | −3.13558 | + | 2.45671i | −0.739062 | + | 0.579053i | ||||
\(19\) | 1.03060 | − | 1.78505i | 0.236435 | − | 0.409518i | −0.723253 | − | 0.690583i | \(-0.757354\pi\) |
0.959689 | + | 0.281064i | \(0.0906875\pi\) | |||||||
\(20\) | −0.697700 | − | 0.215212i | −0.156011 | − | 0.0481229i | ||||
\(21\) | 0.121693 | − | 4.58096i | 0.0265556 | − | 0.999647i | ||||
\(22\) | −7.20230 | + | 2.22162i | −1.53554 | + | 0.473650i | ||||
\(23\) | 0.366959 | − | 1.60775i | 0.0765162 | − | 0.335239i | −0.922152 | − | 0.386827i | \(-0.873571\pi\) |
0.998668 | + | 0.0515878i | \(0.0164282\pi\) | |||||||
\(24\) | −0.934689 | − | 5.05897i | −0.190793 | − | 1.03266i | ||||
\(25\) | 2.80166 | − | 3.51317i | 0.560331 | − | 0.702633i | ||||
\(26\) | −4.61191 | − | 4.27922i | −0.904469 | − | 0.839225i | ||||
\(27\) | −3.72134 | + | 3.62652i | −0.716171 | + | 0.697924i | ||||
\(28\) | 0.547649 | + | 0.305223i | 0.103496 | + | 0.0576818i | ||||
\(29\) | 9.59996 | + | 2.96119i | 1.78267 | + | 0.549880i | 0.997581 | − | 0.0695070i | \(-0.0221426\pi\) |
0.785086 | + | 0.619387i | \(0.212619\pi\) | |||||||
\(30\) | 6.95678 | + | 1.34731i | 1.27013 | + | 0.245984i | ||||
\(31\) | −1.22619 | + | 2.12382i | −0.220230 | + | 0.381449i | −0.954878 | − | 0.296999i | \(-0.904014\pi\) |
0.734648 | + | 0.678449i | \(0.237347\pi\) | |||||||
\(32\) | 1.27392 | + | 0.392951i | 0.225199 | + | 0.0694646i | ||||
\(33\) | −9.02839 | + | 3.89291i | −1.57164 | + | 0.677669i | ||||
\(34\) | 1.86436 | + | 4.75030i | 0.319734 | + | 0.814670i | ||||
\(35\) | −6.29577 | + | 5.17859i | −1.06418 | + | 0.875341i | ||||
\(36\) | −0.203692 | − | 0.681101i | −0.0339487 | − | 0.113517i | ||||
\(37\) | 5.45355 | + | 1.68220i | 0.896558 | + | 0.276551i | 0.708587 | − | 0.705623i | \(-0.249333\pi\) |
0.187971 | + | 0.982175i | \(0.439809\pi\) | |||||||
\(38\) | −1.70639 | − | 2.13975i | −0.276813 | − | 0.347113i | ||||
\(39\) | −6.58219 | − | 4.90175i | −1.05399 | − | 0.784908i | ||||
\(40\) | −5.70601 | + | 7.15511i | −0.902200 | + | 1.13132i | ||||
\(41\) | 5.89108 | + | 4.01647i | 0.920032 | + | 0.627267i | 0.927951 | − | 0.372702i | \(-0.121569\pi\) |
−0.00791951 | + | 0.999969i | \(0.502521\pi\) | |||||||
\(42\) | −5.60306 | − | 2.37262i | −0.864571 | − | 0.366104i | ||||
\(43\) | −3.27676 | + | 2.23406i | −0.499701 | + | 0.340690i | −0.786797 | − | 0.617211i | \(-0.788262\pi\) |
0.287097 | + | 0.957902i | \(0.407310\pi\) | |||||||
\(44\) | 0.100523 | − | 1.34138i | 0.0151544 | − | 0.202221i | ||||
\(45\) | 9.21133 | + | 0.770028i | 1.37314 | + | 0.114789i | ||||
\(46\) | −1.80918 | − | 1.23348i | −0.266749 | − | 0.181866i | ||||
\(47\) | −3.63508 | + | 9.26203i | −0.530231 | + | 1.35101i | 0.375370 | + | 0.926875i | \(0.377516\pi\) |
−0.905601 | + | 0.424131i | \(0.860580\pi\) | |||||||
\(48\) | −5.90042 | − | 1.14273i | −0.851652 | − | 0.164938i | ||||
\(49\) | 6.21193 | − | 3.22676i | 0.887418 | − | 0.460966i | ||||
\(50\) | −2.98322 | − | 5.16709i | −0.421891 | − | 0.730737i | ||||
\(51\) | 3.08514 | + | 5.89864i | 0.432006 | + | 0.825975i | ||||
\(52\) | 1.01162 | − | 0.487170i | 0.140286 | − | 0.0675584i | ||||
\(53\) | 4.16059 | − | 1.28337i | 0.571501 | − | 0.176285i | 0.00448270 | − | 0.999990i | \(-0.498573\pi\) |
0.567018 | + | 0.823705i | \(0.308097\pi\) | |||||||
\(54\) | 2.67720 | + | 6.35881i | 0.364320 | + | 0.865324i | ||||
\(55\) | 15.7580 | + | 7.58865i | 2.12481 | + | 1.02325i | ||||
\(56\) | 6.06912 | − | 4.99215i | 0.811020 | − | 0.667105i | ||||
\(57\) | −2.51356 | − | 2.53527i | −0.332929 | − | 0.335805i | ||||
\(58\) | 8.31696 | − | 10.4291i | 1.09207 | − | 1.36941i | ||||
\(59\) | −7.34904 | + | 5.01049i | −0.956763 | + | 0.652310i | −0.937677 | − | 0.347508i | \(-0.887028\pi\) |
−0.0190863 | + | 0.999818i | \(0.506076\pi\) | |||||||
\(60\) | −0.677426 | + | 1.06789i | −0.0874554 | + | 0.137865i | ||||
\(61\) | −2.44221 | + | 2.26604i | −0.312693 | + | 0.290137i | −0.820869 | − | 0.571116i | \(-0.806510\pi\) |
0.508176 | + | 0.861253i | \(0.330320\pi\) | |||||||
\(62\) | 2.03023 | + | 2.54583i | 0.257840 | + | 0.323321i | ||||
\(63\) | −7.59976 | − | 2.28989i | −0.957480 | − | 0.288499i | ||||
\(64\) | 5.43057 | − | 6.80971i | 0.678821 | − | 0.851214i | ||||
\(65\) | 1.09100 | + | 14.5584i | 0.135322 | + | 1.80575i | ||||
\(66\) | 0.432019 | + | 13.0476i | 0.0531779 | + | 1.60605i | ||||
\(67\) | −0.887666 | + | 1.53748i | −0.108446 | + | 0.187833i | −0.915141 | − | 0.403134i | \(-0.867921\pi\) |
0.806695 | + | 0.590968i | \(0.201254\pi\) | |||||||
\(68\) | −0.910735 | −0.110443 | ||||||||
\(69\) | −2.51955 | − | 1.34552i | −0.303318 | − | 0.161981i | ||||
\(70\) | 3.34671 | + | 10.2937i | 0.400008 | + | 1.23034i | ||||
\(71\) | 2.76975 | − | 12.1351i | 0.328709 | − | 1.44017i | −0.492885 | − | 0.870095i | \(-0.664058\pi\) |
0.821594 | − | 0.570073i | \(-0.193085\pi\) | |||||||
\(72\) | −8.87971 | − | 0.742306i | −1.04648 | − | 0.0874816i | ||||
\(73\) | 0.964058 | + | 0.145308i | 0.112834 | + | 0.0170071i | 0.205217 | − | 0.978717i | \(-0.434210\pi\) |
−0.0923823 | + | 0.995724i | \(0.529448\pi\) | |||||||
\(74\) | 4.72470 | − | 5.92459i | 0.549236 | − | 0.688720i | ||||
\(75\) | −4.59472 | − | 6.28199i | −0.530552 | − | 0.725382i | ||||
\(76\) | 0.466740 | − | 0.143970i | 0.0535387 | − | 0.0165145i | ||||
\(77\) | −11.8824 | − | 9.18502i | −1.35412 | − | 1.04673i | ||||
\(78\) | −9.25159 | + | 5.75781i | −1.04754 | + | 0.651943i | ||||
\(79\) | −0.278259 | − | 0.481959i | −0.0313066 | − | 0.0542246i | 0.849948 | − | 0.526867i | \(-0.176633\pi\) |
−0.881254 | + | 0.472643i | \(0.843300\pi\) | |||||||
\(80\) | 5.34566 | + | 9.25895i | 0.597663 | + | 1.03518i | ||||
\(81\) | 4.36525 | + | 7.87049i | 0.485028 | + | 0.874499i | ||||
\(82\) | 7.82212 | − | 5.33303i | 0.863809 | − | 0.588935i | ||||
\(83\) | −2.13307 | − | 5.43496i | −0.234134 | − | 0.596565i | 0.764723 | − | 0.644359i | \(-0.222876\pi\) |
−0.998857 | + | 0.0477946i | \(0.984781\pi\) | |||||||
\(84\) | 0.759498 | − | 0.776147i | 0.0828680 | − | 0.0846846i | ||||
\(85\) | 4.32626 | − | 11.0231i | 0.469248 | − | 1.19563i | ||||
\(86\) | 1.17176 | + | 5.13383i | 0.126354 | + | 0.553595i | ||||
\(87\) | 9.32100 | − | 14.6936i | 0.999316 | − | 1.57532i | ||||
\(88\) | −15.1907 | − | 7.31545i | −1.61933 | − | 0.779829i | ||||
\(89\) | −0.772012 | − | 1.96705i | −0.0818331 | − | 0.208507i | 0.884101 | − | 0.467296i | \(-0.154772\pi\) |
−0.965934 | + | 0.258789i | \(0.916677\pi\) | |||||||
\(90\) | 5.42015 | − | 11.0117i | 0.571334 | − | 1.16074i | ||||
\(91\) | 1.68051 | − | 12.4230i | 0.176165 | − | 1.30229i | ||||
\(92\) | 0.322882 | − | 0.220137i | 0.0336627 | − | 0.0229509i | ||||
\(93\) | 2.99059 | + | 3.01642i | 0.310109 | + | 0.312789i | ||||
\(94\) | 9.68456 | + | 8.98596i | 0.998887 | + | 0.926831i | ||||
\(95\) | −0.474601 | + | 6.33311i | −0.0486930 | + | 0.649763i | ||||
\(96\) | 1.23690 | − | 1.94985i | 0.126240 | − | 0.199005i | ||||
\(97\) | −1.28026 | + | 2.21747i | −0.129990 | + | 0.225150i | −0.923673 | − | 0.383183i | \(-0.874828\pi\) |
0.793682 | + | 0.608333i | \(0.208161\pi\) | |||||||
\(98\) | −0.974912 | − | 9.24327i | −0.0984810 | − | 0.933711i | ||||
\(99\) | 2.39316 | + | 16.8604i | 0.240521 | + | 1.69453i | ||||
\(100\) | 1.05293 | − | 0.158704i | 0.105293 | − | 0.0158704i | ||||
\(101\) | 9.45317 | − | 4.55241i | 0.940626 | − | 0.452981i | 0.100236 | − | 0.994964i | \(-0.468040\pi\) |
0.840390 | + | 0.541982i | \(0.182326\pi\) | |||||||
\(102\) | 8.78735 | − | 0.951841i | 0.870078 | − | 0.0942463i | ||||
\(103\) | −11.7342 | + | 5.65089i | −1.15620 | + | 0.556799i | −0.910892 | − | 0.412645i | \(-0.864605\pi\) |
−0.245313 | + | 0.969444i | \(0.578891\pi\) | |||||||
\(104\) | −1.05172 | − | 14.0343i | −0.103130 | − | 1.37617i | ||||
\(105\) | 5.78629 | + | 12.8795i | 0.564684 | + | 1.25691i | ||||
\(106\) | 0.432033 | − | 5.76507i | 0.0419627 | − | 0.559954i | ||||
\(107\) | −5.94806 | − | 15.1554i | −0.575021 | − | 1.46513i | −0.861858 | − | 0.507150i | \(-0.830699\pi\) |
0.286837 | − | 0.957979i | \(-0.407396\pi\) | |||||||
\(108\) | −1.23096 | + | 0.0301608i | −0.118449 | + | 0.00290222i | ||||
\(109\) | −4.87749 | + | 12.4276i | −0.467179 | + | 1.19035i | 0.482156 | + | 0.876085i | \(0.339854\pi\) |
−0.949335 | + | 0.314267i | \(0.898241\pi\) | |||||||
\(110\) | 17.0238 | − | 15.7957i | 1.62315 | − | 1.50607i | ||||
\(111\) | 5.29508 | − | 8.34716i | 0.502587 | − | 0.792277i | ||||
\(112\) | −2.83852 | − | 8.73067i | −0.268215 | − | 0.824971i | ||||
\(113\) | 9.33524 | + | 1.40706i | 0.878186 | + | 0.132365i | 0.572635 | − | 0.819811i | \(-0.305921\pi\) |
0.305551 | + | 0.952176i | \(0.401159\pi\) | |||||||
\(114\) | −4.35294 | + | 1.87692i | −0.407690 | + | 0.175790i | ||||
\(115\) | 1.13066 | + | 4.95373i | 0.105434 | + | 0.461937i | ||||
\(116\) | 1.19033 | + | 2.06171i | 0.110519 | + | 0.191425i | ||||
\(117\) | −11.1893 | + | 8.76678i | −1.03445 | + | 0.810489i | ||||
\(118\) | 2.62800 | + | 11.5140i | 0.241927 | + | 1.05995i | ||||
\(119\) | −5.60016 | + | 8.48723i | −0.513365 | + | 0.778024i | ||||
\(120\) | 9.35786 | + | 12.7943i | 0.854252 | + | 1.16795i | ||||
\(121\) | −4.72238 | + | 20.6901i | −0.429307 | + | 1.88092i | ||||
\(122\) | 1.61613 | + | 4.11784i | 0.146318 | + | 0.372812i | ||||
\(123\) | 9.39514 | − | 8.01510i | 0.847131 | − | 0.722697i | ||||
\(124\) | −0.555319 | + | 0.171293i | −0.0498691 | + | 0.0153826i | ||||
\(125\) | 0.347261 | − | 1.52145i | 0.0310600 | − | 0.136083i | ||||
\(126\) | −6.51694 | + | 8.28254i | −0.580575 | + | 0.737867i | ||||
\(127\) | 3.57457 | + | 15.6612i | 0.317192 | + | 1.38971i | 0.842455 | + | 0.538767i | \(0.181110\pi\) |
−0.525263 | + | 0.850940i | \(0.676033\pi\) | |||||||
\(128\) | −4.44936 | − | 7.70651i | −0.393271 | − | 0.681166i | ||||
\(129\) | 2.24081 | + | 6.49332i | 0.197292 | + | 0.571705i | ||||
\(130\) | 18.5235 | + | 5.71374i | 1.62462 | + | 0.501128i | ||||
\(131\) | 17.6978 | + | 8.52280i | 1.54626 | + | 0.744641i | 0.995915 | − | 0.0902951i | \(-0.0287810\pi\) |
0.550347 | + | 0.834936i | \(0.314495\pi\) | |||||||
\(132\) | −2.19579 | − | 0.778955i | −0.191119 | − | 0.0677994i | ||||
\(133\) | 1.52833 | − | 5.23488i | 0.132523 | − | 0.453921i | ||||
\(134\) | 1.46973 | + | 1.84299i | 0.126966 | + | 0.159210i | ||||
\(135\) | 5.48236 | − | 15.0422i | 0.471846 | − | 1.29463i | ||||
\(136\) | −4.17051 | + | 10.6263i | −0.357618 | + | 0.911196i | ||||
\(137\) | 12.3728 | + | 5.95845i | 1.05708 | + | 0.509064i | 0.879922 | − | 0.475117i | \(-0.157594\pi\) |
0.177161 | + | 0.984182i | \(0.443309\pi\) | |||||||
\(138\) | −2.88530 | + | 2.46148i | −0.245613 | + | 0.209535i | ||||
\(139\) | 6.31358 | + | 4.30453i | 0.535511 | + | 0.365105i | 0.800676 | − | 0.599098i | \(-0.204474\pi\) |
−0.265165 | + | 0.964203i | \(0.585426\pi\) | |||||||
\(140\) | −1.92833 | − | 0.115176i | −0.162973 | − | 0.00973417i | ||||
\(141\) | 13.8220 | + | 10.2932i | 1.16402 | + | 0.866844i | ||||
\(142\) | −13.6554 | − | 9.31011i | −1.14594 | − | 0.781287i | ||||
\(143\) | −25.7014 | + | 7.92784i | −2.14926 | + | 0.662959i | ||||
\(144\) | −4.59712 | + | 9.33964i | −0.383093 | + | 0.778303i | ||||
\(145\) | −30.6084 | + | 4.61348i | −2.54189 | + | 0.383128i | ||||
\(146\) | 0.647263 | − | 1.12109i | 0.0535679 | − | 0.0927823i | ||||
\(147\) | −2.56280 | − | 11.8504i | −0.211376 | − | 0.977405i | ||||
\(148\) | 0.676203 | + | 1.17122i | 0.0555835 | + | 0.0962735i | ||||
\(149\) | −4.28212 | − | 5.36961i | −0.350805 | − | 0.439896i | 0.574853 | − | 0.818257i | \(-0.305059\pi\) |
−0.925658 | + | 0.378361i | \(0.876488\pi\) | |||||||
\(150\) | −9.99347 | + | 2.63173i | −0.815963 | + | 0.214880i | ||||
\(151\) | −0.862741 | + | 3.77992i | −0.0702089 | + | 0.307605i | −0.997824 | − | 0.0659319i | \(-0.978998\pi\) |
0.927615 | + | 0.373537i | \(0.121855\pi\) | |||||||
\(152\) | 0.457515 | − | 6.10511i | 0.0371093 | − | 0.495190i | ||||
\(153\) | 11.2624 | − | 2.46884i | 0.910509 | − | 0.199594i | ||||
\(154\) | −17.1168 | + | 10.2311i | −1.37931 | + | 0.824443i | ||||
\(155\) | 0.564671 | − | 7.53502i | 0.0453555 | − | 0.605227i | ||||
\(156\) | −0.353333 | − | 1.91240i | −0.0282893 | − | 0.153115i | ||||
\(157\) | 10.5795 | − | 7.21296i | 0.844333 | − | 0.575656i | −0.0620694 | − | 0.998072i | \(-0.519770\pi\) |
0.906402 | + | 0.422415i | \(0.138818\pi\) | |||||||
\(158\) | −0.730687 | + | 0.110133i | −0.0581303 | + | 0.00876174i | ||||
\(159\) | −0.249567 | − | 7.53726i | −0.0197919 | − | 0.597744i | ||||
\(160\) | −4.06174 | + | 0.612209i | −0.321109 | + | 0.0483994i | ||||
\(161\) | −0.0660641 | − | 4.36260i | −0.00520658 | − | 0.343821i | ||||
\(162\) | 11.8455 | − | 1.57753i | 0.930674 | − | 0.123942i | ||||
\(163\) | 3.63061 | − | 2.47531i | 0.284371 | − | 0.193881i | −0.412731 | − | 0.910853i | \(-0.635425\pi\) |
0.697102 | + | 0.716972i | \(0.254473\pi\) | |||||||
\(164\) | 0.375969 | + | 1.64723i | 0.0293582 | + | 0.128627i | ||||
\(165\) | 19.8587 | − | 22.8765i | 1.54600 | − | 1.78094i | ||||
\(166\) | −7.75239 | −0.601703 | ||||||||
\(167\) | −9.18089 | + | 8.51862i | −0.710439 | + | 0.659191i | −0.950200 | − | 0.311641i | \(-0.899121\pi\) |
0.239761 | + | 0.970832i | \(0.422931\pi\) | |||||||
\(168\) | −5.57798 | − | 12.4159i | −0.430350 | − | 0.957905i | ||||
\(169\) | −6.92792 | − | 6.42817i | −0.532917 | − | 0.494474i | ||||
\(170\) | −11.5260 | − | 10.6946i | −0.884004 | − | 0.820236i | ||||
\(171\) | −5.38154 | + | 3.04562i | −0.411537 | + | 0.232904i | ||||
\(172\) | −0.929292 | − | 0.140068i | −0.0708579 | − | 0.0106801i | ||||
\(173\) | 4.58434 | − | 1.41408i | 0.348541 | − | 0.107511i | −0.115542 | − | 0.993303i | \(-0.536860\pi\) |
0.464082 | + | 0.885792i | \(0.346384\pi\) | |||||||
\(174\) | −13.6398 | − | 18.6486i | −1.03403 | − | 1.41375i | ||||
\(175\) | 4.99554 | − | 10.7882i | 0.377627 | − | 0.815514i | ||||
\(176\) | −14.4388 | + | 13.3972i | −1.08836 | + | 1.00985i | ||||
\(177\) | 5.02564 | + | 14.5631i | 0.377750 | + | 1.09463i | ||||
\(178\) | −2.80579 | −0.210303 | ||||||||
\(179\) | −1.80595 | + | 1.67568i | −0.134983 | + | 0.125246i | −0.744775 | − | 0.667315i | \(-0.767443\pi\) |
0.609792 | + | 0.792561i | \(0.291253\pi\) | |||||||
\(180\) | 1.47599 | + | 1.61844i | 0.110014 | + | 0.120632i | ||||
\(181\) | 8.21280 | − | 10.2985i | 0.610453 | − | 0.765484i | −0.376513 | − | 0.926411i | \(-0.622877\pi\) |
0.986966 | + | 0.160928i | \(0.0514486\pi\) | |||||||
\(182\) | −14.5397 | − | 8.10349i | −1.07776 | − | 0.600670i | ||||
\(183\) | 2.67438 | + | 5.11329i | 0.197696 | + | 0.377985i | ||||
\(184\) | −1.08995 | − | 4.77539i | −0.0803523 | − | 0.352046i | ||||
\(185\) | −17.3880 | + | 2.62083i | −1.27839 | + | 0.192687i | ||||
\(186\) | 5.17904 | − | 2.23313i | 0.379746 | − | 0.163741i | ||||
\(187\) | 21.5725 | + | 3.25153i | 1.57754 | + | 0.237775i | ||||
\(188\) | −2.12431 | + | 1.02301i | −0.154931 | + | 0.0746108i | ||||
\(189\) | −7.28815 | + | 11.6569i | −0.530135 | + | 0.847913i | ||||
\(190\) | 7.59753 | + | 3.65878i | 0.551183 | + | 0.265436i | ||||
\(191\) | −0.421775 | − | 0.287562i | −0.0305186 | − | 0.0208072i | 0.547965 | − | 0.836501i | \(-0.315403\pi\) |
−0.578483 | + | 0.815694i | \(0.696355\pi\) | |||||||
\(192\) | −8.90613 | − | 12.1766i | −0.642745 | − | 0.878774i | ||||
\(193\) | 0.378547 | − | 5.05135i | 0.0272484 | − | 0.363604i | −0.966867 | − | 0.255280i | \(-0.917832\pi\) |
0.994116 | − | 0.108324i | \(-0.0345486\pi\) | |||||||
\(194\) | 2.11976 | + | 2.65810i | 0.152190 | + | 0.190840i | ||||
\(195\) | 24.8253 | + | 4.80788i | 1.77778 | + | 0.344300i | ||||
\(196\) | 1.59917 | + | 0.440715i | 0.114226 | + | 0.0314796i | ||||
\(197\) | −21.6425 | −1.54196 | −0.770982 | − | 0.636857i | \(-0.780234\pi\) | ||||
−0.770982 | + | 0.636857i | \(0.780234\pi\) | |||||||
\(198\) | 22.0005 | + | 5.22096i | 1.56350 | + | 0.371038i | ||||
\(199\) | −13.7935 | − | 9.40428i | −0.977798 | − | 0.666652i | −0.0347809 | − | 0.999395i | \(-0.511073\pi\) |
−0.943017 | + | 0.332743i | \(0.892026\pi\) | |||||||
\(200\) | 2.96993 | − | 13.0121i | 0.210006 | − | 0.920096i | ||||
\(201\) | 2.16496 | + | 2.18366i | 0.152704 | + | 0.154024i | ||||
\(202\) | −1.04110 | − | 13.8925i | −0.0732517 | − | 0.977476i | ||||
\(203\) | 26.5327 | + | 1.58476i | 1.86223 | + | 0.111228i | ||||
\(204\) | −0.414821 | + | 1.52192i | −0.0290433 | + | 0.106556i | ||||
\(205\) | −21.7232 | − | 3.27425i | −1.51722 | − | 0.228684i | ||||
\(206\) | 1.29232 | + | 17.2448i | 0.0900400 | + | 1.20150i | ||||
\(207\) | −3.39608 | + | 3.59754i | −0.236044 | + | 0.250046i | ||||
\(208\) | −15.7108 | − | 4.84613i | −1.08935 | − | 0.336019i | ||||
\(209\) | −11.5696 | + | 1.74384i | −0.800287 | + | 0.120624i | ||||
\(210\) | 18.7261 | − | 0.904069i | 1.29222 | − | 0.0623867i | ||||
\(211\) | −17.6103 | − | 2.65433i | −1.21234 | − | 0.182731i | −0.488419 | − | 0.872609i | \(-0.662426\pi\) |
−0.723926 | + | 0.689878i | \(0.757664\pi\) | |||||||
\(212\) | 0.929592 | + | 0.447668i | 0.0638447 | + | 0.0307460i | ||||
\(213\) | −19.0172 | − | 10.1558i | −1.30304 | − | 0.695862i | ||||
\(214\) | −21.6176 | −1.47775 | ||||||||
\(215\) | 6.10973 | − | 10.5824i | 0.416680 | − | 0.721711i | ||||
\(216\) | −5.28498 | + | 14.5007i | −0.359598 | + | 0.986647i | ||||
\(217\) | −1.81838 | + | 6.22836i | −0.123440 | + | 0.422809i | ||||
\(218\) | 12.9946 | + | 12.0572i | 0.880104 | + | 0.816618i | ||||
\(219\) | 0.681931 | − | 1.54484i | 0.0460807 | − | 0.104391i | ||||
\(220\) | 1.51419 | + | 3.85810i | 0.102087 | + | 0.260113i | ||||
\(221\) | 6.65296 | + | 16.9515i | 0.447526 | + | 1.14028i | ||||
\(222\) | −7.74852 | − | 10.5939i | −0.520046 | − | 0.711018i | ||||
\(223\) | 0.445589 | + | 0.413446i | 0.0298388 | + | 0.0276864i | 0.694951 | − | 0.719057i | \(-0.255426\pi\) |
−0.665112 | + | 0.746743i | \(0.731616\pi\) | |||||||
\(224\) | 3.52089 | + | 0.210298i | 0.235249 | + | 0.0140511i | ||||
\(225\) | −12.5906 | + | 4.81687i | −0.839371 | + | 0.321124i | ||||
\(226\) | 6.26763 | − | 10.8559i | 0.416917 | − | 0.722121i | ||||
\(227\) | 11.5090 | 0.763877 | 0.381938 | − | 0.924188i | \(-0.375257\pi\) | ||||
0.381938 | + | 0.924188i | \(0.375257\pi\) | |||||||
\(228\) | −0.0279967 | − | 0.845539i | −0.00185413 | − | 0.0559972i | ||||
\(229\) | 0.905570 | + | 0.436100i | 0.0598418 | + | 0.0288183i | 0.463565 | − | 0.886063i | \(-0.346570\pi\) |
−0.403724 | + | 0.914881i | \(0.632284\pi\) | |||||||
\(230\) | 6.67132 | + | 1.00554i | 0.439894 | + | 0.0663033i | ||||
\(231\) | −20.7612 | + | 15.6729i | −1.36598 | + | 1.03120i | ||||
\(232\) | 29.5065 | − | 4.44739i | 1.93720 | − | 0.291985i | ||||
\(233\) | −9.86849 | − | 3.04403i | −0.646506 | − | 0.199421i | −0.0458753 | − | 0.998947i | \(-0.514608\pi\) |
−0.600631 | + | 0.799526i | \(0.705084\pi\) | |||||||
\(234\) | 5.40790 | + | 18.0828i | 0.353526 | + | 1.18211i | ||||
\(235\) | −2.29100 | − | 30.5712i | −0.149448 | − | 1.99425i | ||||
\(236\) | −2.08420 | − | 0.314142i | −0.135670 | − | 0.0204489i | ||||
\(237\) | −0.932137 | + | 0.245473i | −0.0605488 | + | 0.0159452i | ||||
\(238\) | 7.77366 | + | 11.0390i | 0.503892 | + | 0.715549i | ||||
\(239\) | −0.239853 | − | 3.20061i | −0.0155148 | − | 0.207031i | −0.999574 | − | 0.0291889i | \(-0.990708\pi\) |
0.984059 | − | 0.177842i | \(-0.0569115\pi\) | |||||||
\(240\) | 17.9074 | − | 4.71581i | 1.15592 | − | 0.304404i | ||||
\(241\) | 0.349597 | − | 1.53168i | 0.0225195 | − | 0.0986643i | −0.962419 | − | 0.271568i | \(-0.912458\pi\) |
0.984939 | + | 0.172904i | \(0.0553149\pi\) | |||||||
\(242\) | 23.2823 | + | 15.8736i | 1.49664 | + | 1.02039i | ||||
\(243\) | 15.1406 | − | 3.70988i | 0.971268 | − | 0.237989i | ||||
\(244\) | −0.789479 | −0.0505412 | ||||||||
\(245\) | −12.9307 | + | 17.2621i | −0.826113 | + | 1.10283i | ||||
\(246\) | −5.34916 | − | 15.5006i | −0.341050 | − | 0.988279i | ||||
\(247\) | −6.08926 | − | 7.63569i | −0.387450 | − | 0.485847i | ||||
\(248\) | −0.544343 | + | 7.26375i | −0.0345658 | + | 0.461248i | ||||
\(249\) | −10.0539 | + | 1.08903i | −0.637139 | + | 0.0690145i | ||||
\(250\) | −1.71207 | − | 1.16727i | −0.108281 | − | 0.0738245i | ||||
\(251\) | −7.50013 | − | 3.61187i | −0.473404 | − | 0.227979i | 0.181940 | − | 0.983310i | \(-0.441762\pi\) |
−0.655344 | + | 0.755330i | \(0.727476\pi\) | |||||||
\(252\) | −0.951075 | − | 1.62271i | −0.0599121 | − | 0.102221i | ||||
\(253\) | −8.43400 | + | 4.06160i | −0.530241 | + | 0.255351i | ||||
\(254\) | 21.0914 | + | 3.17901i | 1.32339 | + | 0.199469i | ||||
\(255\) | −16.4501 | − | 12.2504i | −1.03015 | − | 0.767148i | ||||
\(256\) | 5.54167 | − | 0.835272i | 0.346354 | − | 0.0522045i | ||||
\(257\) | −2.35905 | − | 10.3357i | −0.147153 | − | 0.644721i | −0.993668 | − | 0.112355i | \(-0.964160\pi\) |
0.846515 | − | 0.532365i | \(-0.178697\pi\) | |||||||
\(258\) | 9.11279 | + | 0.380232i | 0.567338 | + | 0.0236722i | ||||
\(259\) | 15.0727 | + | 0.900271i | 0.936572 | + | 0.0559401i | ||||
\(260\) | −2.15700 | + | 2.70479i | −0.133771 | + | 0.167744i | ||||
\(261\) | −20.3088 | − | 22.2689i | −1.25708 | − | 1.37841i | ||||
\(262\) | 19.1194 | − | 17.7402i | 1.18120 | − | 1.09599i | ||||
\(263\) | 8.10637 | 0.499860 | 0.249930 | − | 0.968264i | \(-0.419592\pi\) | ||||
0.249930 | + | 0.968264i | \(0.419592\pi\) | |||||||
\(264\) | −19.1438 | + | 22.0529i | −1.17822 | + | 1.35727i | ||||
\(265\) | −9.83420 | + | 9.12481i | −0.604110 | + | 0.560532i | ||||
\(266\) | −5.72895 | − | 4.42845i | −0.351265 | − | 0.271526i | ||||
\(267\) | −3.63876 | + | 0.394148i | −0.222688 | + | 0.0241215i | ||||
\(268\) | −0.402008 | + | 0.124003i | −0.0245566 | + | 0.00757470i | ||||
\(269\) | 18.3836 | + | 2.77088i | 1.12087 | + | 0.168944i | 0.683227 | − | 0.730206i | \(-0.260576\pi\) |
0.437641 | + | 0.899150i | \(0.355814\pi\) | |||||||
\(270\) | −15.9328 | − | 14.0732i | −0.969640 | − | 0.856465i | ||||
\(271\) | −13.2755 | − | 12.3179i | −0.806430 | − | 0.748257i | 0.164819 | − | 0.986324i | \(-0.447296\pi\) |
−0.971249 | + | 0.238066i | \(0.923486\pi\) | |||||||
\(272\) | 9.77582 | + | 9.07063i | 0.592746 | + | 0.549988i | ||||
\(273\) | −19.9945 | − | 8.46671i | −1.21012 | − | 0.512428i | ||||
\(274\) | 13.3667 | − | 12.4025i | 0.807512 | − | 0.749262i | ||||
\(275\) | −25.5072 | −1.53814 | ||||||||
\(276\) | −0.220803 | − | 0.639832i | −0.0132908 | − | 0.0385134i | ||||
\(277\) | 0.0170014 | + | 0.0744882i | 0.00102152 | + | 0.00447556i | 0.975436 | − | 0.220283i | \(-0.0706979\pi\) |
−0.974415 | + | 0.224758i | \(0.927841\pi\) | |||||||
\(278\) | 8.38312 | − | 5.71552i | 0.502786 | − | 0.342794i | ||||
\(279\) | 6.40286 | − | 3.62362i | 0.383329 | − | 0.216940i | ||||
\(280\) | −10.1742 | + | 21.9719i | −0.608024 | + | 1.31307i | ||||
\(281\) | −9.55575 | + | 1.44030i | −0.570048 | + | 0.0859209i | −0.427741 | − | 0.903902i | \(-0.640690\pi\) |
−0.142308 | + | 0.989822i | \(0.545452\pi\) | |||||||
\(282\) | 19.4275 | − | 12.0908i | 1.15689 | − | 0.720000i | ||||
\(283\) | −19.9667 | + | 3.00950i | −1.18690 | + | 0.178896i | −0.712666 | − | 0.701503i | \(-0.752513\pi\) |
−0.474233 | + | 0.880399i | \(0.657275\pi\) | |||||||
\(284\) | 2.43707 | − | 1.66156i | 0.144613 | − | 0.0985956i | ||||
\(285\) | 10.3670 | + | 3.67770i | 0.614089 | + | 0.217848i | ||||
\(286\) | −2.66882 | + | 35.6129i | −0.157810 | + | 2.10583i | ||||
\(287\) | 17.6625 | + | 6.62518i | 1.04259 | + | 0.391072i | ||||
\(288\) | −2.69498 | − | 2.95508i | −0.158803 | − | 0.174130i | ||||
\(289\) | −0.166596 | + | 2.22307i | −0.00979976 | + | 0.130769i | ||||
\(290\) | −9.14576 | + | 40.0702i | −0.537057 | + | 2.35300i | ||||
\(291\) | 3.12246 | + | 3.14944i | 0.183042 | + | 0.184623i | ||||
\(292\) | 0.144046 | + | 0.180628i | 0.00842967 | + | 0.0105705i | ||||
\(293\) | 0.288498 | + | 0.499693i | 0.0168542 | + | 0.0291923i | 0.874329 | − | 0.485333i | \(-0.161302\pi\) |
−0.857475 | + | 0.514525i | \(0.827968\pi\) | |||||||
\(294\) | −15.8904 | − | 2.58095i | −0.926746 | − | 0.150524i | ||||
\(295\) | 13.7028 | − | 23.7339i | 0.797806 | − | 1.38184i | ||||
\(296\) | 16.7621 | − | 2.52647i | 0.974275 | − | 0.146848i | ||||
\(297\) | 29.2652 | + | 3.68038i | 1.69814 | + | 0.213557i | ||||
\(298\) | −8.71411 | + | 2.68795i | −0.504795 | + | 0.155709i | ||||
\(299\) | −6.45606 | − | 4.40167i | −0.373364 | − | 0.254555i | ||||
\(300\) | 0.214380 | − | 1.83183i | 0.0123772 | − | 0.105760i | ||||
\(301\) | −7.01957 | + | 7.79888i | −0.404601 | + | 0.449520i | ||||
\(302\) | 4.25349 | + | 2.89998i | 0.244761 | + | 0.166875i | ||||
\(303\) | −3.30175 | − | 17.8706i | −0.189681 | − | 1.02664i | ||||
\(304\) | −6.44388 | − | 3.10321i | −0.369582 | − | 0.177981i | ||||
\(305\) | 3.75025 | − | 9.55549i | 0.214739 | − | 0.547146i | ||||
\(306\) | 2.41185 | − | 15.1180i | 0.137876 | − | 0.864238i | ||||
\(307\) | −0.932920 | − | 1.16984i | −0.0532445 | − | 0.0667665i | 0.754496 | − | 0.656304i | \(-0.227881\pi\) |
−0.807741 | + | 0.589538i | \(0.799310\pi\) | |||||||
\(308\) | −0.583654 | − | 3.51074i | −0.0332568 | − | 0.200043i | ||||
\(309\) | 4.09846 | + | 22.1827i | 0.233153 | + | 1.26193i | ||||
\(310\) | −9.03941 | − | 4.35315i | −0.513404 | − | 0.247242i | ||||
\(311\) | −7.59441 | − | 2.34257i | −0.430640 | − | 0.132835i | 0.0718549 | − | 0.997415i | \(-0.477108\pi\) |
−0.502495 | + | 0.864580i | \(0.667584\pi\) | |||||||
\(312\) | −23.9315 | − | 4.63479i | −1.35486 | − | 0.262394i | ||||
\(313\) | 8.00963 | + | 13.8731i | 0.452731 | + | 0.784153i | 0.998555 | − | 0.0537472i | \(-0.0171165\pi\) |
−0.545824 | + | 0.837900i | \(0.683783\pi\) | |||||||
\(314\) | −3.78320 | − | 16.5753i | −0.213498 | − | 0.935396i | ||||
\(315\) | 24.1584 | − | 3.80304i | 1.36117 | − | 0.214277i | ||||
\(316\) | 0.0293455 | − | 0.128571i | 0.00165082 | − | 0.00723269i | ||||
\(317\) | −8.59658 | + | 2.65169i | −0.482832 | + | 0.148934i | −0.526609 | − | 0.850107i | \(-0.676537\pi\) |
0.0437775 | + | 0.999041i | \(0.486061\pi\) | |||||||
\(318\) | −9.43717 | − | 3.34784i | −0.529210 | − | 0.187737i | ||||
\(319\) | −20.8344 | − | 53.0852i | −1.16650 | − | 2.97220i | ||||
\(320\) | −5.97173 | + | 26.1639i | −0.333830 | + | 1.46260i | ||||
\(321\) | −28.0353 | + | 3.03676i | −1.56478 | + | 0.169496i | ||||
\(322\) | −5.42425 | − | 2.03463i | −0.302282 | − | 0.113385i | ||||
\(323\) | 1.76275 | + | 7.72312i | 0.0980821 | + | 0.429726i | ||||
\(324\) | −0.510274 | + | 2.07078i | −0.0283486 | + | 0.115043i | ||||
\(325\) | −10.6456 | − | 18.4388i | −0.590513 | − | 1.02280i | ||||
\(326\) | −1.29830 | − | 5.68822i | −0.0719061 | − | 0.315041i | ||||
\(327\) | 18.5461 | + | 13.8112i | 1.02560 | + | 0.763764i | ||||
\(328\) | 20.9412 | + | 3.15637i | 1.15628 | + | 0.174282i | ||||
\(329\) | −3.52891 | + | 26.0872i | −0.194555 | + | 1.43823i | ||||
\(330\) | −18.6421 | − | 35.6429i | −1.02622 | − | 1.96207i | ||||
\(331\) | 22.7385 | − | 21.0983i | 1.24982 | − | 1.15967i | 0.269344 | − | 0.963044i | \(-0.413193\pi\) |
0.980479 | − | 0.196622i | \(-0.0629972\pi\) | |||||||
\(332\) | 0.505471 | − | 1.28792i | 0.0277413 | − | 0.0706837i | ||||
\(333\) | −11.5370 | − | 12.6505i | −0.632226 | − | 0.693243i | ||||
\(334\) | 6.07545 | + | 15.4800i | 0.332434 | + | 0.847028i | ||||
\(335\) | 0.408779 | − | 5.45478i | 0.0223340 | − | 0.298026i | ||||
\(336\) | −15.8826 | + | 0.766789i | −0.866468 | + | 0.0418318i | ||||
\(337\) | 1.30274 | + | 17.3839i | 0.0709650 | + | 0.946962i | 0.913111 | + | 0.407712i | \(0.133673\pi\) |
−0.842146 | + | 0.539250i | \(0.818708\pi\) | |||||||
\(338\) | −11.3060 | + | 5.44467i | −0.614964 | + | 0.296151i | ||||
\(339\) | 6.60333 | − | 14.9591i | 0.358644 | − | 0.812469i | ||||
\(340\) | 2.52822 | − | 1.21753i | 0.137112 | − | 0.0660297i | ||||
\(341\) | 13.7653 | − | 2.07479i | 0.745434 | − | 0.112356i | ||||
\(342\) | 1.15383 | + | 8.12904i | 0.0623921 | + | 0.439568i | ||||
\(343\) | 13.9404 | − | 12.1928i | 0.752712 | − | 0.658350i | ||||
\(344\) | −5.88977 | + | 10.2014i | −0.317555 | + | 0.550022i | ||||
\(345\) | 8.79311 | + | 0.366893i | 0.473405 | + | 0.0197529i | ||||
\(346\) | 0.476035 | − | 6.35224i | 0.0255918 | − | 0.341499i | ||||
\(347\) | 22.5456 | + | 20.9193i | 1.21031 | + | 1.12300i | 0.989018 | + | 0.147797i | \(0.0472183\pi\) |
0.221293 | + | 0.975207i | \(0.428972\pi\) | |||||||
\(348\) | 3.98747 | − | 1.05008i | 0.213751 | − | 0.0562902i | ||||
\(349\) | −21.6769 | + | 14.7791i | −1.16034 | + | 0.791105i | −0.981252 | − | 0.192729i | \(-0.938266\pi\) |
−0.179085 | + | 0.983834i | \(0.557314\pi\) | |||||||
\(350\) | −10.9110 | − | 11.4079i | −0.583218 | − | 0.609776i | ||||
\(351\) | 9.55358 | + | 22.6914i | 0.509932 | + | 1.21118i | ||||
\(352\) | −2.76473 | − | 7.04442i | −0.147361 | − | 0.375469i | ||||
\(353\) | −10.3965 | − | 5.00668i | −0.553349 | − | 0.266479i | 0.136245 | − | 0.990675i | \(-0.456497\pi\) |
−0.689594 | + | 0.724196i | \(0.742211\pi\) | |||||||
\(354\) | 20.4380 | + | 0.852776i | 1.08627 | + | 0.0453245i | ||||
\(355\) | 8.53403 | + | 37.3900i | 0.452939 | + | 1.98446i | ||||
\(356\) | 0.182943 | − | 0.466131i | 0.00969596 | − | 0.0247049i | ||||
\(357\) | 11.6322 | + | 13.2241i | 0.615640 | + | 0.699895i | ||||
\(358\) | 1.19509 | + | 3.04504i | 0.0631624 | + | 0.160935i | ||||
\(359\) | −30.2884 | + | 20.6503i | −1.59856 | + | 1.08988i | −0.656561 | + | 0.754273i | \(0.727990\pi\) |
−0.942002 | + | 0.335608i | \(0.891058\pi\) | |||||||
\(360\) | 25.6427 | − | 9.81030i | 1.35149 | − | 0.517048i | ||||
\(361\) | 7.37573 | + | 12.7751i | 0.388197 | + | 0.672376i | ||||
\(362\) | −8.74504 | − | 15.1469i | −0.459629 | − | 0.796101i | ||||
\(363\) | 32.4241 | + | 17.3154i | 1.70182 | + | 0.908825i | ||||
\(364\) | 2.29426 | − | 1.88715i | 0.120252 | − | 0.0989134i | ||||
\(365\) | −2.87050 | + | 0.885433i | −0.150249 | + | 0.0463457i | ||||
\(366\) | 7.61739 | − | 0.825112i | 0.398167 | − | 0.0431293i | ||||
\(367\) | 14.5372 | − | 18.2290i | 0.758833 | − | 0.951547i | −0.240986 | − | 0.970529i | \(-0.577471\pi\) |
0.999820 | + | 0.0189814i | \(0.00604234\pi\) | |||||||
\(368\) | −5.65830 | − | 0.852852i | −0.294959 | − | 0.0444580i | ||||
\(369\) | −9.11465 | − | 19.3508i | −0.474490 | − | 1.00736i | ||||
\(370\) | −5.19553 | + | 22.7631i | −0.270103 | + | 1.18340i | ||||
\(371\) | 9.88797 | − | 5.91023i | 0.513358 | − | 0.306844i | ||||
\(372\) | 0.0333099 | + | 1.00601i | 0.00172704 | + | 0.0521591i | ||||
\(373\) | −17.5275 | −0.907538 | −0.453769 | − | 0.891119i | \(-0.649921\pi\) | ||||
−0.453769 | + | 0.891119i | \(0.649921\pi\) | |||||||
\(374\) | 14.4836 | − | 25.0864i | 0.748932 | − | 1.29719i | ||||
\(375\) | −2.38431 | − | 1.27329i | −0.123125 | − | 0.0657526i | ||||
\(376\) | 2.20852 | + | 29.4706i | 0.113896 | + | 1.51983i | ||||
\(377\) | 29.6791 | − | 37.2164i | 1.52855 | − | 1.91674i | ||||
\(378\) | 10.8725 | + | 14.6629i | 0.559222 | + | 0.754179i | ||||
\(379\) | 4.67546 | + | 5.86284i | 0.240162 | + | 0.301154i | 0.887275 | − | 0.461240i | \(-0.152595\pi\) |
−0.647113 | + | 0.762394i | \(0.724024\pi\) | |||||||
\(380\) | −1.10321 | + | 1.02363i | −0.0565936 | + | 0.0525112i | ||||
\(381\) | 27.7994 | + | 1.15993i | 1.42421 | + | 0.0594252i | ||||
\(382\) | −0.560030 | + | 0.381822i | −0.0286536 | + | 0.0195357i | ||||
\(383\) | −3.60843 | + | 4.52483i | −0.184382 | + | 0.231208i | −0.865429 | − | 0.501032i | \(-0.832954\pi\) |
0.681046 | + | 0.732240i | \(0.261525\pi\) | |||||||
\(384\) | −14.9049 | + | 3.92512i | −0.760610 | + | 0.200303i | ||||
\(385\) | 45.2649 | + | 9.61272i | 2.30691 | + | 0.489910i | ||||
\(386\) | −6.05987 | − | 2.91828i | −0.308439 | − | 0.148537i | ||||
\(387\) | 11.8716 | − | 0.787022i | 0.603465 | − | 0.0400066i | ||||
\(388\) | −0.579806 | + | 0.178847i | −0.0294352 | + | 0.00907956i | ||||
\(389\) | −22.1039 | + | 10.6447i | −1.12071 | + | 0.539707i | −0.900112 | − | 0.435658i | \(-0.856516\pi\) |
−0.220600 | + | 0.975364i | \(0.570802\pi\) | |||||||
\(390\) | 17.9852 | − | 28.3519i | 0.910718 | − | 1.43566i | ||||
\(391\) | 3.16896 | + | 5.48880i | 0.160261 | + | 0.277581i | ||||
\(392\) | 12.4652 | − | 16.6406i | 0.629588 | − | 0.840477i | ||||
\(393\) | 22.3033 | − | 25.6926i | 1.12505 | − | 1.29602i | ||||
\(394\) | −10.4987 | + | 26.7503i | −0.528917 | + | 1.34766i | ||||
\(395\) | 1.41677 | + | 0.965935i | 0.0712853 | + | 0.0486015i | ||||
\(396\) | −2.30184 | + | 3.31456i | −0.115672 | + | 0.166563i | ||||
\(397\) | 2.17199 | − | 28.9831i | 0.109009 | − | 1.45462i | −0.627723 | − | 0.778437i | \(-0.716013\pi\) |
0.736732 | − | 0.676185i | \(-0.236368\pi\) | |||||||
\(398\) | −18.3150 | + | 12.4869i | −0.918046 | + | 0.625913i | ||||
\(399\) | −8.05182 | − | 4.93836i | −0.403095 | − | 0.247227i | ||||
\(400\) | −12.8828 | − | 8.78332i | −0.644138 | − | 0.439166i | ||||
\(401\) | −5.56293 | + | 6.97569i | −0.277799 | + | 0.348349i | −0.901083 | − | 0.433646i | \(-0.857227\pi\) |
0.623284 | + | 0.781996i | \(0.285798\pi\) | |||||||
\(402\) | 3.74923 | − | 1.61661i | 0.186995 | − | 0.0806294i | ||||
\(403\) | 7.24489 | + | 9.08481i | 0.360894 | + | 0.452547i | ||||
\(404\) | 2.37587 | + | 0.732860i | 0.118204 | + | 0.0364611i | ||||
\(405\) | −22.6398 | − | 16.0129i | −1.12498 | − | 0.795689i | ||||
\(406\) | 14.8297 | − | 32.0258i | 0.735985 | − | 1.58941i | ||||
\(407\) | −11.8356 | − | 30.1567i | −0.586670 | − | 1.49481i | ||||
\(408\) | 15.8579 | + | 11.8093i | 0.785082 | + | 0.584649i | ||||
\(409\) | −32.2015 | − | 9.93286i | −1.59226 | − | 0.491148i | −0.633117 | − | 0.774056i | \(-0.718225\pi\) |
−0.959147 | + | 0.282908i | \(0.908701\pi\) | |||||||
\(410\) | −14.5849 | + | 25.2617i | −0.720295 | + | 1.24759i | ||||
\(411\) | 15.5927 | − | 17.9622i | 0.769130 | − | 0.886009i | ||||
\(412\) | −2.94916 | − | 0.909697i | −0.145295 | − | 0.0448175i | ||||
\(413\) | −15.7433 | + | 17.4912i | −0.774679 | + | 0.860684i | ||||
\(414\) | 2.79916 | + | 5.94274i | 0.137571 | + | 0.292070i | ||||
\(415\) | 13.1872 | + | 12.2360i | 0.647336 | + | 0.600640i | ||||
\(416\) | 3.93842 | − | 4.93862i | 0.193097 | − | 0.242136i | ||||
\(417\) | 10.0690 | − | 8.58993i | 0.493079 | − | 0.420651i | ||||
\(418\) | −3.45699 | + | 15.1461i | −0.169087 | + | 0.740818i | ||||
\(419\) | 2.46232 | − | 0.759526i | 0.120292 | − | 0.0371053i | −0.234025 | − | 0.972231i | \(-0.575190\pi\) |
0.354317 | + | 0.935125i | \(0.384713\pi\) | |||||||
\(420\) | −1.07078 | + | 3.16995i | −0.0522489 | + | 0.154678i | ||||
\(421\) | −5.84140 | − | 1.80183i | −0.284692 | − | 0.0878160i | 0.149120 | − | 0.988819i | \(-0.452356\pi\) |
−0.433813 | + | 0.901003i | \(0.642832\pi\) | |||||||
\(422\) | −11.8235 | + | 20.4789i | −0.575558 | + | 0.996895i | ||||
\(423\) | 23.4965 | − | 18.4094i | 1.14244 | − | 0.895096i | ||||
\(424\) | 9.48016 | − | 8.79630i | 0.460397 | − | 0.427186i | ||||
\(425\) | 1.29057 | + | 17.2215i | 0.0626019 | + | 0.835364i | ||||
\(426\) | −21.7778 | + | 18.5789i | −1.05514 | + | 0.900149i | ||||
\(427\) | −4.85454 | + | 7.35723i | −0.234928 | + | 0.356041i | ||||
\(428\) | 1.40951 | − | 3.59136i | 0.0681311 | − | 0.173595i | ||||
\(429\) | 1.54166 | + | 46.5603i | 0.0744321 | + | 2.24795i | ||||
\(430\) | −10.1161 | − | 12.6851i | −0.487840 | − | 0.611732i | ||||
\(431\) | 2.35584 | + | 31.4366i | 0.113477 | + | 1.51425i | 0.705723 | + | 0.708488i | \(0.250622\pi\) |
−0.592246 | + | 0.805757i | \(0.701759\pi\) | |||||||
\(432\) | 13.5135 | + | 11.9362i | 0.650167 | + | 0.574281i | ||||
\(433\) | −26.9829 | + | 12.9943i | −1.29672 | + | 0.624465i | −0.949631 | − | 0.313369i | \(-0.898542\pi\) |
−0.347084 | + | 0.937834i | \(0.612828\pi\) | |||||||
\(434\) | 6.81620 | + | 5.26889i | 0.327188 | + | 0.252915i | ||||
\(435\) | −6.23197 | + | 53.2507i | −0.298800 | + | 2.55318i | ||||
\(436\) | −2.85036 | + | 1.37266i | −0.136507 | + | 0.0657385i | ||||
\(437\) | −2.49173 | − | 2.31198i | −0.119195 | − | 0.110597i | ||||
\(438\) | −1.57863 | − | 1.59227i | −0.0754299 | − | 0.0760816i | ||||
\(439\) | 4.64723 | − | 11.8410i | 0.221800 | − | 0.565138i | −0.776050 | − | 0.630671i | \(-0.782780\pi\) |
0.997850 | + | 0.0655333i | \(0.0208749\pi\) | |||||||
\(440\) | 51.9494 | 2.47659 | ||||||||
\(441\) | −20.9704 | − | 1.11494i | −0.998590 | − | 0.0530926i | ||||
\(442\) | 24.1794 | 1.15010 | ||||||||
\(443\) | −2.42836 | + | 6.18736i | −0.115375 | + | 0.293970i | −0.976883 | − | 0.213773i | \(-0.931425\pi\) |
0.861509 | + | 0.507743i | \(0.169520\pi\) | |||||||
\(444\) | 2.26521 | − | 0.596530i | 0.107502 | − | 0.0283101i | ||||
\(445\) | 4.77280 | + | 4.42852i | 0.226253 | + | 0.209932i | ||||
\(446\) | 0.727176 | − | 0.350189i | 0.0344328 | − | 0.0165819i | ||||
\(447\) | −10.9235 | + | 4.71006i | −0.516664 | + | 0.222778i | ||||
\(448\) | 9.68306 | − | 20.9113i | 0.457481 | − | 0.987965i | ||||
\(449\) | −0.324787 | + | 0.156409i | −0.0153277 | + | 0.00738142i | −0.441532 | − | 0.897246i | \(-0.645565\pi\) |
0.426204 | + | 0.904627i | \(0.359851\pi\) | |||||||
\(450\) | −0.153967 | + | 17.8987i | −0.00725809 | + | 0.843751i | ||||
\(451\) | −3.02456 | − | 40.3599i | −0.142421 | − | 1.90048i | ||||
\(452\) | 1.39484 | + | 1.74907i | 0.0656078 | + | 0.0822696i | ||||
\(453\) | 5.92362 | + | 3.16339i | 0.278316 | + | 0.148629i | ||||
\(454\) | 5.58296 | − | 14.2252i | 0.262021 | − | 0.667620i | ||||
\(455\) | 11.9427 | + | 36.7332i | 0.559884 | + | 1.72208i | ||||
\(456\) | −9.99379 | − | 3.54530i | −0.468002 | − | 0.166024i | ||||
\(457\) | −1.13660 | − | 15.1669i | −0.0531681 | − | 0.709479i | −0.958558 | − | 0.284898i | \(-0.908040\pi\) |
0.905390 | − | 0.424581i | \(-0.139579\pi\) | |||||||
\(458\) | 0.978311 | − | 0.907740i | 0.0457135 | − | 0.0424159i | ||||
\(459\) | 1.00413 | − | 19.9449i | 0.0468690 | − | 0.930950i | ||||
\(460\) | −0.602034 | + | 1.04275i | −0.0280700 | + | 0.0486187i | ||||
\(461\) | 36.1624 | + | 11.1546i | 1.68425 | + | 0.519523i | 0.981426 | − | 0.191840i | \(-0.0614454\pi\) |
0.702825 | + | 0.711362i | \(0.251922\pi\) | |||||||
\(462\) | 9.30066 | + | 33.2638i | 0.432706 | + | 1.54757i | ||||
\(463\) | −18.9962 | + | 5.85956i | −0.882830 | + | 0.272317i | −0.702837 | − | 0.711351i | \(-0.748084\pi\) |
−0.179993 | + | 0.983668i | \(0.557608\pi\) | |||||||
\(464\) | 7.75701 | − | 33.9857i | 0.360110 | − | 1.57775i | ||||
\(465\) | −12.3345 | − | 4.37566i | −0.571998 | − | 0.202916i | ||||
\(466\) | −8.54961 | + | 10.7209i | −0.396053 | + | 0.496635i | ||||
\(467\) | −9.85614 | − | 9.14516i | −0.456088 | − | 0.423188i | 0.418379 | − | 0.908272i | \(-0.362598\pi\) |
−0.874467 | + | 0.485085i | \(0.838789\pi\) | |||||||
\(468\) | −3.35673 | − | 0.280608i | −0.155165 | − | 0.0129711i | ||||
\(469\) | −1.31637 | + | 4.50886i | −0.0607843 | + | 0.208200i | ||||
\(470\) | −38.8976 | − | 11.9983i | −1.79421 | − | 0.553441i | ||||
\(471\) | −7.23477 | − | 20.9646i | −0.333360 | − | 0.965997i | ||||
\(472\) | −13.2095 | + | 22.8795i | −0.608015 | + | 1.05311i | ||||
\(473\) | 21.5120 | + | 6.63556i | 0.989121 | + | 0.305103i | ||||
\(474\) | −0.148770 | + | 1.27121i | −0.00683324 | + | 0.0583884i | ||||
\(475\) | −3.38379 | − | 8.62176i | −0.155259 | − | 0.395593i | ||||
\(476\) | −2.34078 | + | 0.571690i | −0.107289 | + | 0.0262034i | ||||
\(477\) | −12.7091 | − | 3.01602i | −0.581910 | − | 0.138094i | ||||
\(478\) | −4.07233 | − | 1.25615i | −0.186264 | − | 0.0574549i | ||||
\(479\) | 17.3115 | + | 21.7079i | 0.790982 | + | 0.991860i | 0.999903 | + | 0.0139272i | \(0.00443332\pi\) |
−0.208921 | + | 0.977932i | \(0.566995\pi\) | |||||||
\(480\) | −0.826983 | + | 7.06638i | −0.0377464 | + | 0.322535i | ||||
\(481\) | 16.8601 | − | 21.1419i | 0.768755 | − | 0.963988i | ||||
\(482\) | −1.72358 | − | 1.17512i | −0.0785070 | − | 0.0535252i | ||||
\(483\) | −7.32038 | − | 1.87667i | −0.333089 | − | 0.0853917i | ||||
\(484\) | −4.15516 | + | 2.83294i | −0.188871 | + | 0.128770i | ||||
\(485\) | 0.589571 | − | 7.86728i | 0.0267711 | − | 0.357235i | ||||
\(486\) | 2.75921 | − | 20.5135i | 0.125160 | − | 0.930511i | ||||
\(487\) | 11.4502 | + | 7.80663i | 0.518859 | + | 0.353752i | 0.794261 | − | 0.607577i | \(-0.207858\pi\) |
−0.275402 | + | 0.961329i | \(0.588811\pi\) | |||||||
\(488\) | −3.61524 | + | 9.21148i | −0.163654 | + | 0.416984i | ||||
\(489\) | −2.48279 | − | 7.19452i | −0.112276 | − | 0.325347i | ||||
\(490\) | 15.0634 | + | 24.3562i | 0.680493 | + | 1.10030i | ||||
\(491\) | 16.8971 | + | 29.2667i | 0.762556 | + | 1.32079i | 0.941529 | + | 0.336932i | \(0.109389\pi\) |
−0.178973 | + | 0.983854i | \(0.557277\pi\) | |||||||
\(492\) | 2.92391 | + | 0.122000i | 0.131820 | + | 0.00550020i | ||||
\(493\) | −34.7869 | + | 16.7525i | −1.56672 | + | 0.754494i | ||||
\(494\) | −12.3916 | + | 3.82232i | −0.557527 | + | 0.171974i | ||||
\(495\) | −29.1835 | − | 43.6055i | −1.31170 | − | 1.95992i | ||||
\(496\) | 7.66681 | + | 3.69214i | 0.344250 | + | 0.165782i | ||||
\(497\) | −0.498642 | − | 32.9283i | −0.0223672 | − | 1.47704i | ||||
\(498\) | −3.53105 | + | 12.9549i | −0.158230 | + | 0.580525i | ||||
\(499\) | 12.5044 | − | 15.6800i | 0.559773 | − | 0.701933i | −0.418743 | − | 0.908105i | \(-0.637529\pi\) |
0.978516 | + | 0.206172i | \(0.0661006\pi\) | |||||||
\(500\) | 0.305550 | − | 0.208321i | 0.0136646 | − | 0.00931638i | ||||
\(501\) | 10.0537 | + | 19.2221i | 0.449165 | + | 0.858782i | ||||
\(502\) | −8.10258 | + | 7.51810i | −0.361636 | + | 0.335549i | ||||
\(503\) | −26.6996 | − | 33.4803i | −1.19048 | − | 1.49281i | −0.827915 | − | 0.560854i | \(-0.810473\pi\) |
−0.362564 | − | 0.931959i | \(-0.618098\pi\) | |||||||
\(504\) | −23.2887 | + | 3.66613i | −1.03736 | + | 0.163302i | ||||
\(505\) | −20.1563 | + | 25.2752i | −0.896943 | + | 1.12473i | ||||
\(506\) | 0.928858 | + | 12.3947i | 0.0412928 | + | 0.551014i | ||||
\(507\) | −13.8976 | + | 8.64927i | −0.617213 | + | 0.384128i | ||||
\(508\) | −1.90333 | + | 3.29667i | −0.0844467 | + | 0.146266i | ||||
\(509\) | 17.7378 | 0.786215 | 0.393108 | − | 0.919492i | \(-0.371400\pi\) | ||||
0.393108 | + | 0.919492i | \(0.371400\pi\) | |||||||
\(510\) | −23.1214 | + | 14.3898i | −1.02383 | + | 0.637192i | ||||
\(511\) | 2.56904 | − | 0.231690i | 0.113648 | − | 0.0102493i | ||||
\(512\) | 5.61614 | − | 24.6059i | 0.248201 | − | 1.08744i | ||||
\(513\) | 2.63832 | + | 10.3803i | 0.116484 | + | 0.458299i | ||||
\(514\) | −13.9193 | − | 2.09800i | −0.613954 | − | 0.0925387i | ||||
\(515\) | 25.0199 | − | 31.3740i | 1.10251 | − | 1.38250i | ||||
\(516\) | −0.657340 | + | 1.48913i | −0.0289378 | + | 0.0655554i | ||||
\(517\) | 53.9705 | − | 16.6477i | 2.37362 | − | 0.732165i | ||||
\(518\) | 8.42446 | − | 18.1932i | 0.370150 | − | 0.799365i | ||||
\(519\) | −0.274985 | − | 8.30493i | −0.0120705 | − | 0.364546i | ||||
\(520\) | 21.6815 | + | 37.5534i | 0.950796 | + | 1.64683i | ||||
\(521\) | 7.18249 | + | 12.4404i | 0.314671 | + | 0.545026i | 0.979367 | − | 0.202088i | \(-0.0647726\pi\) |
−0.664697 | + | 0.747113i | \(0.731439\pi\) | |||||||
\(522\) | −37.3762 | + | 14.2993i | −1.63591 | + | 0.625863i | ||||
\(523\) | −11.8017 | + | 8.04627i | −0.516052 | + | 0.351839i | −0.793173 | − | 0.608997i | \(-0.791572\pi\) |
0.277120 | + | 0.960835i | \(0.410620\pi\) | |||||||
\(524\) | 1.70059 | + | 4.33303i | 0.0742905 | + | 0.189289i | ||||
\(525\) | −15.7527 | − | 13.2618i | −0.687506 | − | 0.578793i | ||||
\(526\) | 3.93238 | − | 10.0195i | 0.171460 | − | 0.436872i | ||||
\(527\) | −2.09729 | − | 9.18882i | −0.0913593 | − | 0.400271i | ||||
\(528\) | 15.8114 | + | 30.2306i | 0.688102 | + | 1.31562i | ||||
\(529\) | 18.2721 | + | 8.79937i | 0.794438 | + | 0.382581i | ||||
\(530\) | 6.50778 | + | 16.5816i | 0.282680 | + | 0.720257i | ||||
\(531\) | 26.6253 | − | 1.76512i | 1.15544 | − | 0.0765995i | ||||
\(532\) | 1.10924 | − | 0.663017i | 0.0480919 | − | 0.0287454i | ||||
\(533\) | 27.9133 | − | 19.0309i | 1.20906 | − | 0.824321i | ||||
\(534\) | −1.27798 | + | 4.68873i | −0.0553036 | + | 0.202901i | ||||
\(535\) | 36.7727 | + | 34.1200i | 1.58982 | + | 1.47514i | ||||
\(536\) | −0.394062 | + | 5.25840i | −0.0170209 | + | 0.227128i | ||||
\(537\) | 1.97764 | + | 3.78115i | 0.0853413 | + | 0.163168i | ||||
\(538\) | 12.3426 | − | 21.3781i | 0.532129 | − | 0.921675i | ||||
\(539\) | −36.3058 | − | 16.1485i | −1.56380 | − | 0.695567i | ||||
\(540\) | 3.37685 | − | 1.72935i | 0.145316 | − | 0.0744193i | ||||
\(541\) | 2.22602 | − | 0.335519i | 0.0957043 | − | 0.0144251i | −0.101016 | − | 0.994885i | \(-0.532209\pi\) |
0.196720 | + | 0.980460i | \(0.436971\pi\) | |||||||
\(542\) | −21.6649 | + | 10.4333i | −0.930586 | + | 0.448147i | ||||
\(543\) | −13.4690 | − | 18.4151i | −0.578010 | − | 0.790267i | ||||
\(544\) | −4.61623 | + | 2.22306i | −0.197919 | + | 0.0953128i | ||||
\(545\) | −3.07402 | − | 41.0199i | −0.131677 | − | 1.75710i | ||||
\(546\) | −20.1642 | + | 20.6062i | −0.862948 | + | 0.881864i | ||||
\(547\) | −0.453978 | + | 6.05791i | −0.0194107 | + | 0.259018i | 0.979053 | + | 0.203606i | \(0.0652662\pi\) |
−0.998464 | + | 0.0554117i | \(0.982353\pi\) | |||||||
\(548\) | 1.18891 | + | 3.02930i | 0.0507878 | + | 0.129405i | ||||
\(549\) | 9.76289 | − | 2.14013i | 0.416670 | − | 0.0913386i | ||||
\(550\) | −12.3735 | + | 31.5271i | −0.527607 | + | 1.34432i | ||||
\(551\) | 15.1796 | − | 14.0846i | 0.646672 | − | 0.600024i | ||||
\(552\) | −8.47655 | − | 0.353685i | −0.360786 | − | 0.0150538i | ||||
\(553\) | −1.01772 | − | 1.06406i | −0.0432779 | − | 0.0452486i | ||||
\(554\) | 0.100315 | + | 0.0151201i | 0.00426198 | + | 0.000642391i | ||||
\(555\) | −3.54026 | + | 30.2507i | −0.150276 | + | 1.28407i | ||||
\(556\) | 0.402933 | + | 1.76536i | 0.0170882 | + | 0.0748681i | ||||
\(557\) | −1.42883 | − | 2.47481i | −0.0605414 | − | 0.104861i | 0.834166 | − | 0.551513i | \(-0.185949\pi\) |
−0.894708 | + | 0.446652i | \(0.852616\pi\) | |||||||
\(558\) | −1.37281 | − | 9.67179i | −0.0581156 | − | 0.409439i | ||||
\(559\) | 4.18144 | + | 18.3201i | 0.176856 | + | 0.774856i | ||||
\(560\) | 19.5515 | + | 20.4418i | 0.826202 | + | 0.863825i | ||||
\(561\) | 15.2594 | − | 34.5685i | 0.644253 | − | 1.45948i | ||||
\(562\) | −2.85525 | + | 12.5096i | −0.120441 | + | 0.527688i | ||||
\(563\) | −9.29908 | − | 23.6937i | −0.391909 | − | 0.998569i | −0.981602 | − | 0.190941i | \(-0.938846\pi\) |
0.589692 | − | 0.807628i | \(-0.299249\pi\) | |||||||
\(564\) | 0.741966 | + | 4.01586i | 0.0312424 | + | 0.169098i | ||||
\(565\) | −27.7959 | + | 8.57390i | −1.16938 | + | 0.360707i | ||||
\(566\) | −5.96604 | + | 26.1389i | −0.250771 | + | 1.09870i | ||||
\(567\) | 16.1601 | + | 17.4886i | 0.678660 | + | 0.734453i | ||||
\(568\) | −8.22680 | − | 36.0439i | −0.345189 | − | 1.51237i | ||||
\(569\) | 10.5243 | + | 18.2286i | 0.441200 | + | 0.764181i | 0.997779 | − | 0.0666141i | \(-0.0212196\pi\) |
−0.556579 | + | 0.830795i | \(0.687886\pi\) | |||||||
\(570\) | 9.57466 | − | 11.0297i | 0.401039 | − | 0.461981i | ||||
\(571\) | −0.664414 | − | 0.204945i | −0.0278049 | − | 0.00857667i | 0.280822 | − | 0.959760i | \(-0.409393\pi\) |
−0.308626 | + | 0.951183i | \(0.599869\pi\) | |||||||
\(572\) | −5.74242 | − | 2.76540i | −0.240103 | − | 0.115627i | ||||
\(573\) | −0.672651 | + | 0.573846i | −0.0281004 | + | 0.0239728i | ||||
\(574\) | 16.7568 | − | 18.6171i | 0.699415 | − | 0.777064i | ||||
\(575\) | −4.62020 | − | 5.79355i | −0.192676 | − | 0.241608i | ||||
\(576\) | −24.4048 | + | 9.33673i | −1.01687 | + | 0.389030i | ||||
\(577\) | 2.04050 | − | 5.19910i | 0.0849470 | − | 0.216441i | −0.882088 | − | 0.471084i | \(-0.843863\pi\) |
0.967035 | + | 0.254643i | \(0.0819579\pi\) | |||||||
\(578\) | 2.66691 | + | 1.28432i | 0.110929 | + | 0.0534205i | ||||
\(579\) | −8.26884 | − | 2.93337i | −0.343641 | − | 0.121907i | ||||
\(580\) | −6.06061 | − | 4.13205i | −0.251653 | − | 0.171574i | ||||
\(581\) | −8.89408 | − | 12.6300i | −0.368989 | − | 0.523981i | ||||
\(582\) | 5.40742 | − | 2.33160i | 0.224145 | − | 0.0966480i | ||||
\(583\) | −20.4209 | − | 13.9227i | −0.845746 | − | 0.576620i | ||||
\(584\) | 2.76716 | − | 0.853557i | 0.114506 | − | 0.0353204i | ||||
\(585\) | 19.3418 | − | 39.2954i | 0.799685 | − | 1.62466i | ||||
\(586\) | 0.757572 | − | 0.114186i | 0.0312950 | − | 0.00471697i | ||||
\(587\) | 3.25901 | − | 5.64477i | 0.134514 | − | 0.232985i | −0.790898 | − | 0.611948i | \(-0.790386\pi\) |
0.925412 | + | 0.378963i | \(0.123719\pi\) | |||||||
\(588\) | 1.46486 | − | 2.47161i | 0.0604099 | − | 0.101928i | ||||
\(589\) | 2.52741 | + | 4.37761i | 0.104140 | + | 0.180376i | ||||
\(590\) | −22.6881 | − | 28.4500i | −0.934053 | − | 1.17127i | ||||
\(591\) | −9.85771 | + | 36.1665i | −0.405492 | + | 1.48769i | ||||
\(592\) | 4.40661 | − | 19.3066i | 0.181110 | − | 0.793496i | ||||
\(593\) | 0.244081 | − | 3.25703i | 0.0100232 | − | 0.133750i | −0.989947 | − | 0.141437i | \(-0.954828\pi\) |
0.999970 | + | 0.00768681i | \(0.00244681\pi\) | |||||||
\(594\) | 18.7454 | − | 34.3867i | 0.769135 | − | 1.41090i | ||||
\(595\) | 4.19990 | − | 31.0474i | 0.172179 | − | 1.27282i | ||||
\(596\) | 0.121623 | − | 1.62295i | 0.00498188 | − | 0.0664786i | ||||
\(597\) | −21.9981 | + | 18.7668i | −0.900321 | + | 0.768073i | ||||
\(598\) | −8.57230 | + | 5.84450i | −0.350548 | + | 0.238999i | ||||
\(599\) | −40.5783 | + | 6.11620i | −1.65798 | + | 0.249901i | −0.910239 | − | 0.414084i | \(-0.864102\pi\) |
−0.747746 | + | 0.663985i | \(0.768864\pi\) | |||||||
\(600\) | −20.3917 | − | 10.8898i | −0.832486 | − | 0.444573i | ||||
\(601\) | 10.7349 | − | 1.61802i | 0.437885 | − | 0.0660005i | 0.0735995 | − | 0.997288i | \(-0.476551\pi\) |
0.364285 | + | 0.931287i | \(0.381313\pi\) | |||||||
\(602\) | 6.23430 | + | 12.4595i | 0.254091 | + | 0.507809i | ||||
\(603\) | 4.63518 | − | 2.62322i | 0.188759 | − | 0.106826i | ||||
\(604\) | −0.759114 | + | 0.517555i | −0.0308879 | + | 0.0210590i | ||||
\(605\) | −14.5504 | − | 63.7494i | −0.591557 | − | 2.59178i | ||||
\(606\) | −23.6899 | − | 4.58799i | −0.962335 | − | 0.186374i | ||||
\(607\) | 5.52128 | 0.224102 | 0.112051 | − | 0.993702i | \(-0.464258\pi\) | ||||
0.112051 | + | 0.993702i | \(0.464258\pi\) | |||||||
\(608\) | 2.01433 | − | 1.86903i | 0.0816920 | − | 0.0757991i | ||||
\(609\) | 14.7334 | − | 43.6167i | 0.597026 | − | 1.76744i | ||||
\(610\) | −9.99141 | − | 9.27067i | −0.404540 | − | 0.375359i | ||||
\(611\) | 34.5594 | + | 32.0664i | 1.39812 | + | 1.29727i | ||||
\(612\) | 2.35432 | + | 1.38641i | 0.0951678 | + | 0.0560421i | ||||
\(613\) | 12.1273 | + | 1.82789i | 0.489817 | + | 0.0738280i | 0.389307 | − | 0.921108i | \(-0.372715\pi\) |
0.100510 | + | 0.994936i | \(0.467953\pi\) | |||||||
\(614\) | −1.89849 | + | 0.585607i | −0.0766169 | + | 0.0236332i | ||||
\(615\) | −15.3660 | + | 34.8101i | −0.619619 | + | 1.40368i | ||||
\(616\) | −43.6353 | − | 9.26666i | −1.75812 | − | 0.373364i | ||||
\(617\) | 1.02662 | − | 0.952567i | 0.0413303 | − | 0.0383489i | −0.659237 | − | 0.751935i | \(-0.729121\pi\) |
0.700568 | + | 0.713586i | \(0.252930\pi\) | |||||||
\(618\) | 29.4062 | + | 5.69506i | 1.18289 | + | 0.229089i | ||||
\(619\) | 9.97547 | 0.400948 | 0.200474 | − | 0.979699i | \(-0.435752\pi\) | ||||
0.200474 | + | 0.979699i | \(0.435752\pi\) | |||||||
\(620\) | 1.31258 | − | 1.21790i | 0.0527146 | − | 0.0489120i | ||||
\(621\) | 4.46497 | + | 7.31376i | 0.179173 | + | 0.293491i | ||||
\(622\) | −6.57945 | + | 8.25037i | −0.263812 | + | 0.330810i | ||||
\(623\) | −3.21900 | − | 4.57113i | −0.128966 | − | 0.183138i | ||||
\(624\) | −15.2542 | + | 24.0468i | −0.610659 | + | 0.962642i | ||||
\(625\) | 6.06946 | + | 26.5921i | 0.242779 | + | 1.06368i | ||||
\(626\) | 21.0327 | − | 3.17016i | 0.840634 | − | 0.126705i | ||||
\(627\) | −2.35561 | + | 20.1281i | −0.0940740 | + | 0.803841i | ||||
\(628\) | 3.00035 | + | 0.452230i | 0.119727 | + | 0.0180459i | ||||
\(629\) | −19.7618 | + | 9.51676i | −0.787953 | + | 0.379458i | ||||
\(630\) | 7.01857 | − | 31.7048i | 0.279627 | − | 1.26315i | ||||
\(631\) | −39.0046 | − | 18.7836i | −1.55275 | − | 0.747764i | −0.556221 | − | 0.831034i | \(-0.687749\pi\) |
−0.996527 | + | 0.0832701i | \(0.973464\pi\) | |||||||
\(632\) | −1.36576 | − | 0.931160i | −0.0543271 | − | 0.0370396i | ||||
\(633\) | −12.4568 | + | 28.2194i | −0.495111 | + | 1.12162i | ||||
\(634\) | −0.892662 | + | 11.9118i | −0.0354522 | + | 0.473076i | ||||
\(635\) | −30.8600 | − | 38.6972i | −1.22464 | − | 1.53565i | ||||
\(636\) | 1.17150 | − | 1.34953i | 0.0464531 | − | 0.0535123i | ||||
\(637\) | −3.47897 | − | 32.9846i | −0.137842 | − | 1.30690i | ||||
\(638\) | −75.7204 | −2.99780 | ||||||||
\(639\) | −25.6332 | + | 27.1537i | −1.01403 | + | 1.07418i | ||||
\(640\) | 22.6541 | + | 15.4453i | 0.895481 | + | 0.610528i | ||||
\(641\) | 4.80094 | − | 21.0343i | 0.189626 | − | 0.830804i | −0.787188 | − | 0.616713i | \(-0.788464\pi\) |
0.976814 | − | 0.214091i | \(-0.0686790\pi\) | |||||||
\(642\) | −9.84636 | + | 36.1249i | −0.388605 | + | 1.42574i | ||||
\(643\) | 1.66836 | + | 22.2628i | 0.0657939 | + | 0.877958i | 0.928281 | + | 0.371879i | \(0.121287\pi\) |
−0.862487 | + | 0.506079i | \(0.831094\pi\) | |||||||
\(644\) | 0.691688 | − | 0.768478i | 0.0272563 | − | 0.0302823i | ||||
\(645\) | −14.9012 | − | 15.0300i | −0.586735 | − | 0.591804i | ||||
\(646\) | 10.4009 | + | 1.56769i | 0.409219 | + | 0.0616798i | ||||
\(647\) | 2.55516 | + | 34.0962i | 0.100454 | + | 1.34046i | 0.788608 | + | 0.614897i | \(0.210802\pi\) |
−0.688154 | + | 0.725565i | \(0.741579\pi\) | |||||||
\(648\) | 21.8247 | + | 15.4364i | 0.857357 | + | 0.606401i | ||||
\(649\) | 48.2466 | + | 14.8821i | 1.89384 | + | 0.584173i | ||||
\(650\) | −27.9546 | + | 4.21348i | −1.09647 | + | 0.165266i | ||||
\(651\) | 9.57991 | + | 5.87557i | 0.375466 | + | 0.230282i | ||||
\(652\) | 1.02964 | + | 0.155194i | 0.0403240 | + | 0.00607786i | ||||
\(653\) | −8.86001 | − | 4.26675i | −0.346719 | − | 0.166971i | 0.252417 | − | 0.967619i | \(-0.418775\pi\) |
−0.599136 | + | 0.800648i | \(0.704489\pi\) | |||||||
\(654\) | 26.0674 | − | 16.2233i | 1.01932 | − | 0.634381i | ||||
\(655\) | −60.5233 | −2.36484 | ||||||||
\(656\) | 12.3702 | − | 21.4258i | 0.482976 | − | 0.836538i | ||||
\(657\) | −2.27096 | − | 1.84321i | −0.0885987 | − | 0.0719105i | ||||
\(658\) | 30.5320 | + | 17.0165i | 1.19026 | + | 0.663374i | ||||
\(659\) | 18.8767 | + | 17.5150i | 0.735332 | + | 0.682289i | 0.956101 | − | 0.293037i | \(-0.0946661\pi\) |
−0.220769 | + | 0.975326i | \(0.570857\pi\) | |||||||
\(660\) | 7.13691 | − | 0.773066i | 0.277804 | − | 0.0300916i | ||||
\(661\) | −9.10733 | − | 23.2051i | −0.354234 | − | 0.902573i | −0.991283 | − | 0.131750i | \(-0.957940\pi\) |
0.637049 | − | 0.770823i | \(-0.280155\pi\) | |||||||
\(662\) | −15.0472 | − | 38.3397i | −0.584827 | − | 1.49011i | ||||
\(663\) | 31.3577 | − | 3.39665i | 1.21783 | − | 0.131915i | ||||
\(664\) | −12.7125 | − | 11.7955i | −0.493340 | − | 0.457753i | ||||
\(665\) | 2.75562 | + | 16.5753i | 0.106858 | + | 0.642763i | ||||
\(666\) | −21.2327 | + | 8.12315i | −0.822750 | + | 0.314765i | ||||
\(667\) | 8.28365 | − | 14.3477i | 0.320744 | − | 0.555545i | ||||
\(668\) | −2.96785 | −0.114830 | ||||||||
\(669\) | 0.893861 | − | 0.556302i | 0.0345587 | − | 0.0215079i | ||||
\(670\) | −6.54384 | − | 3.15135i | −0.252811 | − | 0.121747i | ||||
\(671\) | 18.7003 | + | 2.81861i | 0.721917 | + | 0.108811i | ||||
\(672\) | 1.95512 | − | 5.78794i | 0.0754204 | − | 0.223275i | ||||
\(673\) | −4.91002 | + | 0.740067i | −0.189267 | + | 0.0285275i | −0.242992 | − | 0.970028i | \(-0.578129\pi\) |
0.0537244 | + | 0.998556i | \(0.482891\pi\) | |||||||
\(674\) | 22.1186 | + | 6.82268i | 0.851976 | + | 0.262800i | ||||
\(675\) | 2.31467 | + | 23.2339i | 0.0890916 | + | 0.894275i | ||||
\(676\) | −0.167361 | − | 2.23328i | −0.00643698 | − | 0.0858955i | ||||
\(677\) | 41.2033 | + | 6.21040i | 1.58357 | + | 0.238685i | 0.881067 | − | 0.472992i | \(-0.156826\pi\) |
0.702506 | + | 0.711678i | \(0.252064\pi\) | |||||||
\(678\) | −15.2863 | − | 15.4184i | −0.587068 | − | 0.592140i | ||||
\(679\) | −1.89857 | + | 6.50301i | −0.0728603 | + | 0.249563i | ||||
\(680\) | −2.62845 | − | 35.0742i | −0.100796 | − | 1.34503i | ||||
\(681\) | 5.24209 | − | 19.2325i | 0.200877 | − | 0.736991i | ||||
\(682\) | 4.11306 | − | 18.0205i | 0.157497 | − | 0.690041i | ||||
\(683\) | −25.2613 | − | 17.2228i | −0.966596 | − | 0.659014i | −0.0264009 | − | 0.999651i | \(-0.508405\pi\) |
−0.940195 | + | 0.340638i | \(0.889357\pi\) | |||||||
\(684\) | −1.42572 | − | 0.338341i | −0.0545139 | − | 0.0129368i | ||||
\(685\) | −42.3129 | −1.61669 | ||||||||
\(686\) | −8.30795 | − | 23.1451i | −0.317199 | − | 0.883686i | ||||
\(687\) | 1.14123 | − | 1.31465i | 0.0435406 | − | 0.0501572i | ||||
\(688\) | 8.57997 | + | 10.7589i | 0.327108 | + | 0.410181i | ||||
\(689\) | 1.54171 | − | 20.5727i | 0.0587344 | − | 0.783757i | ||||
\(690\) | 4.71899 | − | 10.6904i | 0.179649 | − | 0.406975i | ||||
\(691\) | 35.7858 | + | 24.3984i | 1.36136 | + | 0.928158i | 0.999991 | − | 0.00426618i | \(-0.00135797\pi\) |
0.361366 | + | 0.932424i | \(0.382310\pi\) | |||||||
\(692\) | 1.02427 | + | 0.493263i | 0.0389369 | + | 0.0187510i | ||||
\(693\) | 16.7346 | + | 41.8324i | 0.635694 | + | 1.58908i | ||||
\(694\) | 36.7931 | − | 17.7186i | 1.39665 | − | 0.672590i | ||||
\(695\) | −23.2812 | − | 3.50908i | −0.883107 | − | 0.133107i | ||||
\(696\) | 6.00761 | − | 51.3337i | 0.227718 | − | 1.94580i | ||||
\(697\) | −27.0964 | + | 4.08413i | −1.02635 | + | 0.154697i | ||||
\(698\) | 7.75162 | + | 33.9621i | 0.293403 | + | 1.28548i | ||||
\(699\) | −9.58173 | + | 15.1046i | −0.362414 | + | 0.571310i | ||||
\(700\) | 2.60662 | − | 1.06885i | 0.0985212 | − | 0.0403987i | ||||
\(701\) | −12.4391 | + | 15.5981i | −0.469817 | + | 0.589131i | −0.959126 | − | 0.282979i | \(-0.908677\pi\) |
0.489310 | + | 0.872110i | \(0.337249\pi\) | |||||||
\(702\) | 32.6811 | − | 0.800750i | 1.23347 | − | 0.0302224i | ||||
\(703\) | 8.62322 | − | 8.00118i | 0.325231 | − | 0.301770i | ||||
\(704\) | −49.4417 | −1.86340 | ||||||||
\(705\) | −52.1307 | − | 10.0961i | −1.96336 | − | 0.380241i | ||||
\(706\) | −11.2316 | + | 10.4214i | −0.422707 | + | 0.392214i | ||||
\(707\) | 21.4389 | − | 17.6346i | 0.806295 | − | 0.663218i | ||||
\(708\) | −1.47427 | + | 3.33979i | −0.0554064 | + | 0.125517i | ||||
\(709\) | 23.0228 | − | 7.10159i | 0.864639 | − | 0.266706i | 0.169455 | − | 0.985538i | \(-0.445799\pi\) |
0.695184 | + | 0.718832i | \(0.255323\pi\) | |||||||
\(710\) | 50.3541 | + | 7.58967i | 1.88976 | + | 0.284835i | ||||
\(711\) | −0.0143613 | + | 1.66949i | −0.000538589 | + | 0.0626109i | ||||
\(712\) | −4.60098 | − | 4.26908i | −0.172429 | − | 0.159991i | ||||
\(713\) | 2.96461 | + | 2.75076i | 0.111026 | + | 0.103017i | ||||
\(714\) | 21.9878 | − | 7.96246i | 0.822874 | − | 0.297988i | ||||
\(715\) | 60.7493 | − | 56.3671i | 2.27190 | − | 2.10801i | ||||
\(716\) | −0.583799 | −0.0218176 | ||||||||
\(717\) | −5.45776 | − | 1.05700i | −0.203824 | − | 0.0394743i | ||||
\(718\) | 10.8311 | + | 47.4541i | 0.404213 | + | 1.77097i | ||||
\(719\) | 12.0691 | − | 8.22858i | 0.450102 | − | 0.306874i | −0.316970 | − | 0.948436i | \(-0.602665\pi\) |
0.767072 | + | 0.641561i | \(0.221713\pi\) | |||||||
\(720\) | 0.275895 | − | 32.0728i | 0.0102820 | − | 1.19528i | ||||
\(721\) | −26.6121 | + | 21.8898i | −0.991087 | + | 0.815218i | ||||
\(722\) | 19.3681 | − | 2.91927i | 0.720806 | − | 0.108644i | ||||
\(723\) | −2.40034 | − | 1.28186i | −0.0892698 | − | 0.0476728i | ||||
\(724\) | 3.08657 | − | 0.465225i | 0.114711 | − | 0.0172900i | ||||
\(725\) | 37.2990 | − | 25.4300i | 1.38525 | − | 0.944446i | ||||
\(726\) | 37.1308 | − | 31.6767i | 1.37805 | − | 1.17563i | ||||
\(727\) | 0.734477 | − | 9.80092i | 0.0272403 | − | 0.363496i | −0.966881 | − | 0.255226i | \(-0.917850\pi\) |
0.994122 | − | 0.108270i | \(-0.0345310\pi\) | |||||||
\(728\) | −11.5128 | − | 35.4108i | −0.426692 | − | 1.31241i | ||||
\(729\) | 0.696681 | − | 26.9910i | 0.0258030 | − | 0.999667i | ||||
\(730\) | −0.298071 | + | 3.97748i | −0.0110321 | + | 0.147213i | ||||
\(731\) | 3.39164 | − | 14.8598i | 0.125444 | − | 0.549608i | ||||
\(732\) | −0.359591 | + | 1.31929i | −0.0132909 | + | 0.0487623i | ||||
\(733\) | −1.17293 | − | 1.47081i | −0.0433233 | − | 0.0543257i | 0.759698 | − | 0.650276i | \(-0.225347\pi\) |
−0.803021 | + | 0.595951i | \(0.796775\pi\) | |||||||
\(734\) | −15.4793 | − | 26.8109i | −0.571350 | − | 0.989607i | ||||
\(735\) | 22.9568 | + | 29.4709i | 0.846773 | + | 1.08705i | ||||
\(736\) | 1.09924 | − | 1.90394i | 0.0405186 | − | 0.0701802i | ||||
\(737\) | 9.96504 | − | 1.50199i | 0.367067 | − | 0.0553264i | ||||
\(738\) | −28.3392 | + | 1.87874i | −1.04318 | + | 0.0691575i | ||||
\(739\) | 22.2727 | − | 6.87021i | 0.819314 | − | 0.252725i | 0.143362 | − | 0.989670i | \(-0.454209\pi\) |
0.675952 | + | 0.736946i | \(0.263733\pi\) | |||||||
\(740\) | −3.44291 | − | 2.34734i | −0.126564 | − | 0.0862899i | ||||
\(741\) | −15.5335 | + | 6.69780i | −0.570636 | + | 0.246050i | ||||
\(742\) | −2.50846 | − | 15.0886i | −0.0920885 | − | 0.553921i | ||||
\(743\) | −34.9539 | − | 23.8312i | −1.28233 | − | 0.874281i | −0.285868 | − | 0.958269i | \(-0.592282\pi\) |
−0.996467 | + | 0.0839879i | \(0.973234\pi\) | |||||||
\(744\) | 11.8904 | + | 4.21813i | 0.435924 | + | 0.154644i | ||||
\(745\) | 19.0657 | + | 9.18156i | 0.698513 | + | 0.336386i | ||||
\(746\) | −8.50252 | + | 21.6641i | −0.311299 | + | 0.793178i | ||||
\(747\) | −2.75947 | + | 17.2970i | −0.100964 | + | 0.632862i | ||||
\(748\) | 3.22329 | + | 4.04188i | 0.117855 | + | 0.147786i | ||||
\(749\) | −24.8012 | − | 35.2188i | −0.906215 | − | 1.28687i | ||||
\(750\) | −2.73042 | + | 2.32935i | −0.0997008 | + | 0.0850558i | ||||
\(751\) | −22.4681 | − | 10.8200i | −0.819871 | − | 0.394829i | −0.0235646 | − | 0.999722i | \(-0.507502\pi\) |
−0.796307 | + | 0.604893i | \(0.793216\pi\) | |||||||
\(752\) | 32.9911 | + | 10.1764i | 1.20306 | + | 0.371096i | ||||
\(753\) | −9.45191 | + | 10.8882i | −0.344447 | + | 0.396790i | ||||
\(754\) | −31.6025 | − | 54.7371i | −1.15089 | − | 1.99341i | ||||
\(755\) | −2.65824 | − | 11.6465i | −0.0967432 | − | 0.423860i | ||||
\(756\) | −3.14488 | + | 0.850221i | −0.114378 | + | 0.0309223i | ||||
\(757\) | −7.42082 | + | 32.5128i | −0.269714 | + | 1.18170i | 0.640632 | + | 0.767848i | \(0.278673\pi\) |
−0.910346 | + | 0.413848i | \(0.864185\pi\) | |||||||
\(758\) | 9.51455 | − | 2.93485i | 0.345584 | − | 0.106599i | ||||
\(759\) | 2.94578 | + | 15.9439i | 0.106925 | + | 0.578728i | ||||
\(760\) | 6.89162 | + | 17.5596i | 0.249985 | + | 0.636952i | ||||
\(761\) | −5.25002 | + | 23.0018i | −0.190313 | + | 0.833816i | 0.786134 | + | 0.618056i | \(0.212080\pi\) |
−0.976447 | + | 0.215759i | \(0.930777\pi\) | |||||||
\(762\) | 14.9191 | − | 33.7976i | 0.540462 | − | 1.22436i | ||||
\(763\) | −4.73503 | + | 35.0033i | −0.171420 | + | 1.26721i | ||||
\(764\) | −0.0269177 | − | 0.117934i | −0.000973849 | − | 0.00426671i | ||||
\(765\) | −27.9641 | + | 21.9098i | −1.01105 | + | 0.792150i | ||||
\(766\) | 3.84228 | + | 6.65503i | 0.138827 | + | 0.240456i | ||||
\(767\) | 9.37803 | + | 41.0878i | 0.338621 | + | 1.48360i | ||||
\(768\) | 1.12830 | − | 9.64107i | 0.0407141 | − | 0.347892i | ||||
\(769\) | −27.6200 | − | 4.16304i | −0.996002 | − | 0.150123i | −0.369240 | − | 0.929334i | \(-0.620382\pi\) |
−0.626762 | + | 0.779211i | \(0.715620\pi\) | |||||||
\(770\) | 33.8392 | − | 51.2846i | 1.21948 | − | 1.84817i | ||||
\(771\) | −18.3463 | − | 0.765501i | −0.660726 | − | 0.0275688i | ||||
\(772\) | 0.879934 | − | 0.816460i | 0.0316695 | − | 0.0293850i | ||||
\(773\) | 9.80704 | − | 24.9879i | 0.352735 | − | 0.898753i | −0.638854 | − | 0.769328i | \(-0.720591\pi\) |
0.991589 | − | 0.129426i | \(-0.0413134\pi\) | |||||||
\(774\) | 4.78609 | − | 15.0551i | 0.172032 | − | 0.541144i | ||||
\(775\) | 4.02597 | + | 10.2580i | 0.144617 | + | 0.368479i | ||||
\(776\) | −0.568346 | + | 7.58405i | −0.0204024 | + | 0.272252i | ||||
\(777\) | 8.36974 | − | 24.7778i | 0.300263 | − | 0.888898i | ||||
\(778\) | 2.43436 | + | 32.4843i | 0.0872760 | + | 1.16462i | ||||
\(779\) | 13.2409 | − | 6.37649i | 0.474405 | − | 0.228462i | ||||
\(780\) | 3.53748 | + | 4.83652i | 0.126662 | + | 0.173175i | ||||
\(781\) | −63.6586 | + | 30.6564i | −2.27788 | + | 1.09697i | ||||
\(782\) | 8.32144 | − | 1.25426i | 0.297574 | − | 0.0448521i | ||||
\(783\) | −46.4635 | + | 23.7949i | −1.66047 | + | 0.850359i | ||||
\(784\) | −12.7760 | − | 20.6578i | −0.456287 | − | 0.737779i | ||||
\(785\) | −19.7261 | + | 34.1666i | −0.704055 | + | 1.21946i | ||||
\(786\) | −20.9370 | − | 40.0305i | −0.746796 | − | 1.42784i | ||||
\(787\) | 0.0955580 | − | 1.27513i | 0.00340628 | − | 0.0454536i | −0.995242 | − | 0.0974375i | \(-0.968935\pi\) |
0.998648 | + | 0.0519839i | \(0.0165544\pi\) | |||||||
\(788\) | −3.75953 | − | 3.48834i | −0.133928 | − | 0.124267i | ||||
\(789\) | 3.69228 | − | 13.5465i | 0.131449 | − | 0.482267i | ||||
\(790\) | 1.88117 | − | 1.28256i | 0.0669291 | − | 0.0456315i | ||||
\(791\) | 24.8767 | − | 2.24352i | 0.884515 | − | 0.0797702i | ||||
\(792\) | 28.1328 | + | 42.0357i | 0.999657 | + | 1.49367i | ||||
\(793\) | 5.76717 | + | 14.6945i | 0.204798 | + | 0.521818i | ||||
\(794\) | −34.7697 | − | 16.7442i | −1.23393 | − | 0.594230i | ||||
\(795\) | 10.7691 | + | 20.5900i | 0.381940 | + | 0.730252i | ||||
\(796\) | −0.880304 | − | 3.85687i | −0.0312016 | − | 0.136703i | ||||
\(797\) | −2.35256 | + | 5.99422i | −0.0833319 | + | 0.212326i | −0.966466 | − | 0.256794i | \(-0.917334\pi\) |
0.883134 | + | 0.469120i | \(0.155429\pi\) | |||||||
\(798\) | −10.0098 | + | 7.55652i | −0.354341 | + | 0.267498i | ||||
\(799\) | −13.9706 | − | 35.5965i | −0.494244 | − | 1.25931i | ||||
\(800\) | 4.94958 | − | 3.37457i | 0.174994 | − | 0.119309i | ||||
\(801\) | −0.998722 | + | 6.26022i | −0.0352881 | + | 0.221194i | ||||
\(802\) | 5.92344 | + | 10.2597i | 0.209164 | + | 0.362282i | ||||
\(803\) | −2.76712 | − | 4.79280i | −0.0976497 | − | 0.169134i | ||||
\(804\) | 0.0241139 | + | 0.728273i | 0.000850430 | + | 0.0256842i | ||||
\(805\) | 6.01559 | + | 12.0224i | 0.212022 | + | 0.423733i | ||||
\(806\) | 14.7434 | − | 4.54772i | 0.519313 | − | 0.160187i | ||||
\(807\) | 13.0037 | − | 29.4585i | 0.457753 | − | 1.03699i | ||||
\(808\) | 19.4306 | − | 24.3652i | 0.683567 | − | 0.857166i | ||||
\(809\) | 40.1237 | + | 6.04768i | 1.41068 | + | 0.212625i | 0.809794 | − | 0.586714i | \(-0.199579\pi\) |
0.600881 | + | 0.799339i | \(0.294817\pi\) | |||||||
\(810\) | −30.7746 | + | 20.2151i | −1.08131 | + | 0.710287i | ||||
\(811\) | 3.84786 | − | 16.8586i | 0.135117 | − | 0.591984i | −0.861351 | − | 0.508010i | \(-0.830381\pi\) |
0.996468 | − | 0.0839745i | \(-0.0267614\pi\) | |||||||
\(812\) | 4.35358 | + | 4.55183i | 0.152781 | + | 0.159738i | ||||
\(813\) | −26.6310 | + | 16.5740i | −0.933989 | + | 0.581276i | ||||
\(814\) | −43.0153 | −1.50769 | ||||||||
\(815\) | −6.76951 | + | 11.7251i | −0.237125 | + | 0.410713i | ||||
\(816\) | 19.6105 | − | 12.2048i | 0.686505 | − | 0.427253i | ||||
\(817\) | 0.610877 | + | 8.15159i | 0.0213719 | + | 0.285188i | ||||
\(818\) | −27.8979 | + | 34.9829i | −0.975429 | + | 1.22315i | ||||
\(819\) | −23.2557 | + | 29.5562i | −0.812620 | + | 1.03278i | ||||
\(820\) | −3.24581 | − | 4.07012i | −0.113349 | − | 0.142135i | ||||
\(821\) | −6.29752 | + | 5.84324i | −0.219785 | + | 0.203931i | −0.782379 | − | 0.622803i | \(-0.785994\pi\) |
0.562594 | + | 0.826733i | \(0.309803\pi\) | |||||||
\(822\) | −14.6374 | − | 27.9860i | −0.510538 | − | 0.976125i | ||||
\(823\) | −12.0271 | + | 8.19995i | −0.419239 | + | 0.285832i | −0.754509 | − | 0.656290i | \(-0.772125\pi\) |
0.335270 | + | 0.942122i | \(0.391173\pi\) | |||||||
\(824\) | −24.1192 | + | 30.2445i | −0.840232 | + | 1.05362i | ||||
\(825\) | −11.6180 | + | 42.6248i | −0.404487 | + | 1.48401i | ||||
\(826\) | 13.9821 | + | 27.9438i | 0.486501 | + | 0.972289i | ||||
\(827\) | −41.5056 | − | 19.9881i | −1.44329 | − | 0.695053i | −0.461876 | − | 0.886944i | \(-0.652823\pi\) |
−0.981416 | + | 0.191892i | \(0.938538\pi\) | |||||||
\(828\) | −1.16979 | + | 0.0775507i | −0.0406529 | + | 0.00269507i | ||||
\(829\) | −41.9515 | + | 12.9403i | −1.45704 | + | 0.449436i | −0.919260 | − | 0.393652i | \(-0.871212\pi\) |
−0.537776 | + | 0.843088i | \(0.680735\pi\) | |||||||
\(830\) | 21.5208 | − | 10.3639i | 0.746999 | − | 0.359736i | ||||
\(831\) | 0.132220 | + | 0.00551690i | 0.00458667 | + | 0.000191379i | ||||
\(832\) | −20.6349 | − | 35.7406i | −0.715385 | − | 1.23908i | ||||
\(833\) | −9.06592 | + | 25.3293i | −0.314115 | + | 0.877608i | ||||
\(834\) | −5.73280 | − | 16.6122i | −0.198511 | − | 0.575235i | ||||
\(835\) | 14.0981 | − | 35.9215i | 0.487886 | − | 1.24311i | ||||
\(836\) | −2.29084 | − | 1.56187i | −0.0792303 | − | 0.0540183i | ||||
\(837\) | −3.13902 | − | 12.3502i | −0.108500 | − | 0.426887i | ||||
\(838\) | 0.255686 | − | 3.41189i | 0.00883252 | − | 0.117862i | ||||
\(839\) | −21.7549 | + | 14.8322i | −0.751062 | + | 0.512065i | −0.877304 | − | 0.479934i | \(-0.840660\pi\) |
0.126243 | + | 0.991999i | \(0.459708\pi\) | |||||||
\(840\) | 32.0829 | + | 27.0097i | 1.10697 | + | 0.931925i | ||||
\(841\) | 59.4296 | + | 40.5184i | 2.04930 | + | 1.39719i | ||||
\(842\) | −5.06072 | + | 6.34595i | −0.174404 | + | 0.218696i | ||||
\(843\) | −1.94558 | + | 16.6245i | −0.0670093 | + | 0.572579i | ||||
\(844\) | −2.63128 | − | 3.29951i | −0.0905722 | − | 0.113574i | ||||
\(845\) | 27.8256 | + | 8.58307i | 0.957231 | + | 0.295267i | ||||
\(846\) | −11.3561 | − | 37.9721i | −0.390430 | − | 1.30551i | ||||
\(847\) | 0.850177 | + | 56.1422i | 0.0292124 | + | 1.92907i | ||||
\(848\) | −5.51960 | − | 14.0637i | −0.189544 | − | 0.482950i | ||||
\(849\) | −4.06529 | + | 34.7370i | −0.139520 | + | 1.19217i | ||||
\(850\) | 21.9119 | + | 6.75892i | 0.751572 | + | 0.231829i | ||||
\(851\) | 4.70578 | − | 8.15065i | 0.161312 | − | 0.279401i | ||||
\(852\) | −1.66659 | − | 4.82936i | −0.0570963 | − | 0.165451i | ||||
\(853\) | 31.3980 | + | 9.68499i | 1.07505 | + | 0.331608i | 0.781223 | − | 0.624252i | \(-0.214596\pi\) |
0.293823 | + | 0.955860i | \(0.405072\pi\) | |||||||
\(854\) | 6.73866 | + | 9.56921i | 0.230592 | + | 0.327452i | ||||
\(855\) | 10.8677 | − | 15.6491i | 0.371668 | − | 0.535188i | ||||
\(856\) | −35.4488 | − | 32.8917i | −1.21162 | − | 1.12421i | ||||
\(857\) | −24.6108 | + | 30.8610i | −0.840689 | + | 1.05419i | 0.157090 | + | 0.987584i | \(0.449789\pi\) |
−0.997779 | + | 0.0666067i | \(0.978783\pi\) | |||||||
\(858\) | 58.2967 | + | 20.6808i | 1.99022 | + | 0.706030i | ||||
\(859\) | −11.6786 | + | 51.1673i | −0.398468 | + | 1.74580i | 0.234962 | + | 0.972005i | \(0.424503\pi\) |
−0.633431 | + | 0.773800i | \(0.718354\pi\) | |||||||
\(860\) | 2.76699 | − | 0.853503i | 0.0943536 | − | 0.0291042i | ||||
\(861\) | 19.1162 | − | 26.4980i | 0.651478 | − | 0.903050i | ||||
\(862\) | 39.9986 | + | 12.3379i | 1.36236 | + | 0.420232i | ||||
\(863\) | 22.0595 | − | 38.2082i | 0.750914 | − | 1.30062i | −0.196466 | − | 0.980511i | \(-0.562946\pi\) |
0.947380 | − | 0.320111i | \(-0.103720\pi\) | |||||||
\(864\) | −6.16571 | + | 3.15758i | −0.209762 | + | 0.107423i | ||||
\(865\) | −10.8358 | + | 10.0542i | −0.368428 | + | 0.341852i | ||||
\(866\) | 2.97170 | + | 39.6545i | 0.100982 | + | 1.34752i | ||||
\(867\) | 3.63906 | + | 1.29096i | 0.123589 | + | 0.0438432i | ||||
\(868\) | −1.31976 | + | 0.788846i | −0.0447955 | + | 0.0267752i | ||||
\(869\) | −1.15413 | + | 2.94068i | −0.0391512 | + | 0.0997557i | ||||
\(870\) | 62.7951 | + | 33.5345i | 2.12895 | + | 1.13693i | ||||
\(871\) | 5.24475 | + | 6.57671i | 0.177712 | + | 0.222843i | ||||
\(872\) | 2.96335 | + | 39.5432i | 0.100352 | + | 1.33910i | ||||
\(873\) | 6.68521 | − | 3.78341i | 0.226260 | − | 0.128049i | ||||
\(874\) | −4.06636 | + | 1.95825i | −0.137547 | + | 0.0662389i | ||||
\(875\) | −0.0625179 | − | 4.12842i | −0.00211349 | − | 0.139566i | ||||
\(876\) | 0.367456 | − | 0.158442i | 0.0124152 | − | 0.00535325i | ||||
\(877\) | 21.1548 | − | 10.1876i | 0.714345 | − | 0.344011i | −0.0411604 | − | 0.999153i | \(-0.513105\pi\) |
0.755506 | + | 0.655142i | \(0.227391\pi\) | |||||||
\(878\) | −12.3811 | − | 11.4880i | −0.417843 | − | 0.387702i | ||||
\(879\) | 0.966435 | − | 0.254506i | 0.0325971 | − | 0.00858426i | ||||
\(880\) | 22.1721 | − | 56.4936i | 0.747422 | − | 1.90440i | ||||
\(881\) | 37.5596 | 1.26542 | 0.632708 | − | 0.774390i | \(-0.281943\pi\) | ||||
0.632708 | + | 0.774390i | \(0.281943\pi\) | |||||||
\(882\) | −11.5507 | + | 25.3787i | −0.388934 | + | 0.854544i | ||||
\(883\) | −5.01843 | −0.168884 | −0.0844419 | − | 0.996428i | \(-0.526911\pi\) | ||||
−0.0844419 | + | 0.996428i | \(0.526911\pi\) | |||||||
\(884\) | −1.57655 | + | 4.01697i | −0.0530250 | + | 0.135105i | ||||
\(885\) | −33.4201 | − | 33.7088i | −1.12341 | − | 1.13311i | ||||
\(886\) | 6.46962 | + | 6.00293i | 0.217351 | + | 0.201672i | ||||
\(887\) | 3.82559 | − | 1.84231i | 0.128451 | − | 0.0618587i | −0.368555 | − | 0.929606i | \(-0.620147\pi\) |
0.497005 | + | 0.867747i | \(0.334433\pi\) | |||||||
\(888\) | 3.41281 | − | 29.1616i | 0.114526 | − | 0.978601i | ||||
\(889\) | 19.0183 | + | 38.0087i | 0.637853 | + | 1.27477i | ||||
\(890\) | 7.78895 | − | 3.75096i | 0.261086 | − | 0.125732i | ||||
\(891\) | 19.4799 | − | 47.2285i | 0.652603 | − | 1.58221i | ||||
\(892\) | 0.0107643 | + | 0.143640i | 0.000360416 | + | 0.00480942i | ||||
\(893\) | 12.7869 | + | 16.0342i | 0.427896 | + | 0.536565i | ||||
\(894\) | 0.522703 | + | 15.7864i | 0.0174818 | + | 0.527975i | ||||
\(895\) | 2.77321 | − | 7.06604i | 0.0926983 | − | 0.236192i | ||||
\(896\) | −16.2733 | − | 17.0144i | −0.543654 | − | 0.568410i | ||||
\(897\) | −10.2962 | + | 8.78378i | −0.343779 | + | 0.293282i | ||||
\(898\) | 0.0357697 | + | 0.477313i | 0.00119365 | + | 0.0159281i | ||||
\(899\) | −18.0604 | + | 16.7576i | −0.602348 | + | 0.558897i | ||||
\(900\) | −2.96350 | − | 1.19261i | −0.0987833 | − | 0.0397535i | ||||
\(901\) | −8.36684 | + | 14.4918i | −0.278740 | + | 0.482792i | ||||
\(902\) | −51.3524 | − | 15.8401i | −1.70985 | − | 0.527418i | ||||
\(903\) | 9.83536 | + | 15.2826i | 0.327300 | + | 0.508572i | ||||
\(904\) | 26.7952 | − | 8.26523i | 0.891196 | − | 0.274897i | ||||
\(905\) | −9.03122 | + | 39.5683i | −0.300208 | + | 1.31530i | ||||
\(906\) | 6.78350 | − | 5.78708i | 0.225367 | − | 0.192263i | ||||
\(907\) | −25.3729 | + | 31.8167i | −0.842494 | + | 1.05645i | 0.155152 | + | 0.987891i | \(0.450413\pi\) |
−0.997647 | + | 0.0685640i | \(0.978158\pi\) | |||||||
\(908\) | 1.99923 | + | 1.85501i | 0.0663468 | + | 0.0615608i | ||||
\(909\) | −31.3673 | − | 2.62217i | −1.04039 | − | 0.0869719i | ||||
\(910\) | 51.1959 | + | 3.05786i | 1.69713 | + | 0.101367i | ||||
\(911\) | 41.6708 | + | 12.8537i | 1.38062 | + | 0.425863i | 0.894123 | − | 0.447821i | \(-0.147800\pi\) |
0.486492 | + | 0.873685i | \(0.338276\pi\) | |||||||
\(912\) | −8.12079 | + | 9.35484i | −0.268906 | + | 0.309770i | ||||
\(913\) | −16.5712 | + | 28.7021i | −0.548426 | + | 0.949902i | ||||
\(914\) | −19.2978 | − | 5.95258i | −0.638314 | − | 0.196894i | ||||
\(915\) | −14.2599 | − | 10.6193i | −0.471418 | − | 0.351064i | ||||
\(916\) | 0.0870167 | + | 0.221715i | 0.00287511 | + | 0.00732566i | ||||
\(917\) | 50.8369 | + | 10.7960i | 1.67878 | + | 0.356517i | ||||
\(918\) | −24.1650 | − | 10.9163i | −0.797563 | − | 0.360293i | ||||
\(919\) | 32.1171 | + | 9.90682i | 1.05945 | + | 0.326796i | 0.775043 | − | 0.631909i | \(-0.217728\pi\) |
0.284404 | + | 0.958705i | \(0.408204\pi\) | |||||||
\(920\) | 9.40977 | + | 11.7995i | 0.310231 | + | 0.389017i | ||||
\(921\) | −2.37984 | + | 1.02615i | −0.0784184 | + | 0.0338129i | ||||
\(922\) | 31.3295 | − | 39.2859i | 1.03178 | − | 1.29381i | ||||
\(923\) | −48.7294 | − | 33.2232i | −1.60395 | − | 1.09355i | ||||
\(924\) | −6.13259 | − | 0.623728i | −0.201748 | − | 0.0205192i | ||||
\(925\) | 21.1888 | − | 14.4463i | 0.696684 | − | 0.474991i | ||||
\(926\) | −1.97256 | + | 26.3219i | −0.0648222 | + | 0.864992i | ||||
\(927\) | 38.9361 | + | 3.25489i | 1.27883 | + | 0.106905i | ||||
\(928\) | 11.0659 | + | 7.54463i | 0.363257 | + | 0.247664i | ||||
\(929\) | 7.85771 | − | 20.0211i | 0.257803 | − | 0.656871i | −0.742107 | − | 0.670281i | \(-0.766173\pi\) |
0.999910 | + | 0.0134101i | \(0.00426869\pi\) | |||||||
\(930\) | −11.3918 | + | 13.1229i | −0.373551 | + | 0.430316i | ||||
\(931\) | 0.642075 | − | 14.4141i | 0.0210432 | − | 0.472403i | ||||
\(932\) | −1.22363 | − | 2.11938i | −0.0400812 | − | 0.0694227i | ||||
\(933\) | −7.37373 | + | 11.6240i | −0.241405 | + | 0.380551i | ||||
\(934\) | −16.0847 | + | 7.74597i | −0.526306 | + | 0.253456i | ||||
\(935\) | −64.2326 | + | 19.8131i | −2.10063 | + | 0.647958i | ||||
\(936\) | −18.6455 | + | 37.8807i | −0.609446 | + | 1.23817i | ||||
\(937\) | 0.499595 | + | 0.240592i | 0.0163211 | + | 0.00785980i | 0.442026 | − | 0.897002i | \(-0.354260\pi\) |
−0.425705 | + | 0.904862i | \(0.639974\pi\) | |||||||
\(938\) | 4.93441 | + | 3.81427i | 0.161114 | + | 0.124540i | ||||
\(939\) | 26.8314 | − | 7.06590i | 0.875609 | − | 0.230587i | ||||
\(940\) | 4.52950 | − | 5.67981i | 0.147736 | − | 0.185255i | ||||
\(941\) | −9.77165 | + | 6.66220i | −0.318547 | + | 0.217181i | −0.712028 | − | 0.702151i | \(-0.752223\pi\) |
0.393481 | + | 0.919333i | \(0.371271\pi\) | |||||||
\(942\) | −29.4219 | − | 1.22763i | −0.958618 | − | 0.0399984i | ||||
\(943\) | 8.61926 | − | 7.99751i | 0.280682 | − | 0.260435i | ||||
\(944\) | 19.2430 | + | 24.1299i | 0.626306 | + | 0.785362i | ||||
\(945\) | 4.64842 | − | 42.1030i | 0.151213 | − | 1.36961i | ||||
\(946\) | 18.6370 | − | 23.3700i | 0.605940 | − | 0.759825i | ||||
\(947\) | −0.885526 | − | 11.8165i | −0.0287757 | − | 0.383986i | −0.992935 | − | 0.118661i | \(-0.962140\pi\) |
0.964159 | − | 0.265325i | \(-0.0854792\pi\) | |||||||
\(948\) | −0.201488 | − | 0.107600i | −0.00654401 | − | 0.00349470i | ||||
\(949\) | 2.30976 | − | 4.00062i | 0.0749780 | − | 0.129866i | ||||
\(950\) | −12.2980 | −0.399000 | ||||||||
\(951\) | 0.515652 | + | 15.5734i | 0.0167212 | + | 0.505003i | ||||
\(952\) | −4.04870 | + | 29.9297i | −0.131219 | + | 0.970026i | ||||
\(953\) | 2.09255 | − | 9.16807i | 0.0677844 | − | 0.296983i | −0.929661 | − | 0.368416i | \(-0.879900\pi\) |
0.997445 | + | 0.0714332i | \(0.0227573\pi\) | |||||||
\(954\) | −9.89297 | + | 14.2455i | −0.320297 | + | 0.461215i | ||||
\(955\) | 1.55529 | + | 0.234422i | 0.0503280 | + | 0.00758572i | ||||
\(956\) | 0.474210 | − | 0.594640i | 0.0153370 | − | 0.0192320i | ||||
\(957\) | −98.1998 | + | 10.6369i | −3.17435 | + | 0.343844i | ||||
\(958\) | 35.2289 | − | 10.8667i | 1.13819 | − | 0.351086i | ||||
\(959\) | 35.5410 | + | 7.54771i | 1.14768 | + | 0.243728i | ||||
\(960\) | 41.0021 | + | 21.8964i | 1.32334 | + | 0.706703i | ||||
\(961\) | 12.4929 | + | 21.6384i | 0.402998 | + | 0.698012i | ||||
\(962\) | −17.9528 | − | 31.0951i | −0.578820 | − | 1.00255i | ||||
\(963\) | −7.69478 | + | 48.2326i | −0.247961 | + | 1.55427i | ||||
\(964\) | 0.307605 | − | 0.209722i | 0.00990729 | − | 0.00675468i | ||||
\(965\) | 5.70211 | + | 14.5287i | 0.183557 | + | 0.467697i | ||||
\(966\) | −5.87068 | + | 8.13767i | −0.188886 | + | 0.261825i | ||||
\(967\) | −18.1122 | + | 46.1490i | −0.582448 | + | 1.48405i | 0.270847 | + | 0.962622i | \(0.412696\pi\) |
−0.853294 | + | 0.521430i | \(0.825399\pi\) | |||||||
\(968\) | 14.0266 | + | 61.4544i | 0.450831 | + | 1.97522i | ||||
\(969\) | 13.7089 | + | 0.572005i | 0.440394 | + | 0.0183755i | ||||
\(970\) | −9.43801 | − | 4.54511i | −0.303036 | − | 0.145935i | ||||
\(971\) | −2.60505 | − | 6.63757i | −0.0836002 | − | 0.213010i | 0.882961 | − | 0.469447i | \(-0.155547\pi\) |
−0.966561 | + | 0.256437i | \(0.917451\pi\) | |||||||
\(972\) | 3.22804 | + | 1.79591i | 0.103539 | + | 0.0576039i | ||||
\(973\) | 18.9293 | + | 7.10034i | 0.606844 | + | 0.227626i | ||||
\(974\) | 15.2035 | − | 10.3656i | 0.487152 | − | 0.332134i | ||||
\(975\) | −35.6617 | + | 9.39132i | −1.14209 | + | 0.300763i | ||||
\(976\) | 8.47425 | + | 7.86296i | 0.271254 | + | 0.251687i | ||||
\(977\) | −0.268548 | + | 3.58352i | −0.00859161 | + | 0.114647i | −0.999851 | − | 0.0172830i | \(-0.994498\pi\) |
0.991259 | + | 0.131930i | \(0.0421174\pi\) | |||||||
\(978\) | −10.0969 | − | 0.421292i | −0.322862 | − | 0.0134714i | ||||
\(979\) | −5.99754 | + | 10.3880i | −0.191682 | + | 0.332003i | ||||
\(980\) | −5.02850 | + | 0.914431i | −0.160630 | + | 0.0292104i | ||||
\(981\) | 31.5272 | − | 24.7014i | 1.00659 | − | 0.788656i | ||||
\(982\) | 44.3705 | − | 6.68778i | 1.41592 | − | 0.213416i | ||||
\(983\) | −36.2156 | + | 17.4405i | −1.15510 | + | 0.556267i | −0.910562 | − | 0.413373i | \(-0.864351\pi\) |
−0.244538 | + | 0.969640i | \(0.578636\pi\) | |||||||
\(984\) | 14.8129 | − | 33.5569i | 0.472217 | − | 1.06976i | ||||
\(985\) | 60.0801 | − | 28.9330i | 1.91431 | − | 0.921883i | ||||
\(986\) | 3.83117 | + | 51.1234i | 0.122009 | + | 1.62810i | ||||
\(987\) | 41.9866 | + | 17.7793i | 1.33645 | + | 0.565921i | ||||
\(988\) | 0.172951 | − | 2.30787i | 0.00550230 | − | 0.0734231i | ||||
\(989\) | 2.38937 | + | 6.08801i | 0.0759775 | + | 0.193588i | ||||
\(990\) | −68.0535 | + | 14.9181i | −2.16288 | + | 0.474127i | ||||
\(991\) | −1.88016 | + | 4.79057i | −0.0597253 | + | 0.152178i | −0.957621 | − | 0.288030i | \(-0.907000\pi\) |
0.897896 | + | 0.440207i | \(0.145095\pi\) | |||||||
\(992\) | −2.39662 | + | 2.22374i | −0.0760926 | + | 0.0706037i | ||||
\(993\) | −24.9002 | − | 47.6079i | −0.790183 | − | 1.51079i | ||||
\(994\) | −40.9415 | − | 15.3571i | −1.29858 | − | 0.487097i | ||||
\(995\) | 50.8634 | + | 7.66643i | 1.61248 | + | 0.243042i | ||||
\(996\) | −1.92200 | − | 1.43131i | −0.0609007 | − | 0.0453527i | ||||
\(997\) | −13.6117 | − | 59.6369i | −0.431088 | − | 1.88872i | −0.457762 | − | 0.889075i | \(-0.651349\pi\) |
0.0266742 | − | 0.999644i | \(-0.491508\pi\) | |||||||
\(998\) | −13.3147 | − | 23.0618i | −0.421471 | − | 0.730009i | ||||
\(999\) | −26.3950 | + | 13.5174i | −0.835101 | + | 0.427671i |
(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 | 441.2.z.a.142.39 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.39 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.39 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.39 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.39 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.39 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.39 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.39 | yes | 648 | 441.382 | even | 21 | inner |