Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [891,2,Mod(107,891)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(891, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([5, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("891.107");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 891 = 3^{4} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 891.u (of order \(30\), degree \(8\), not 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: | \(7.11467082010\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{30})\) |
Twist minimal: | no (minimal twist has level 99) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 512.3 | ||
Character | \(\chi\) | \(=\) | 891.512 |
Dual form | 891.2.u.c.134.3 |
$q$-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 \(\left(\mathbb{Z}/891\mathbb{Z}\right)^\times\).
\(n\) | \(244\) | \(650\) |
\(\chi(n)\) | \(e\left(\frac{9}{10}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.673250 | + | 0.143104i | 0.476060 | + | 0.101190i | 0.439692 | − | 0.898149i | \(-0.355088\pi\) |
0.0363682 | + | 0.999338i | \(0.488421\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.39430 | − | 0.620784i | −0.697152 | − | 0.310392i | ||||
\(5\) | −0.00833908 | − | 0.0392323i | −0.00372935 | − | 0.0175452i | 0.976244 | − | 0.216676i | \(-0.0695215\pi\) |
−0.979973 | + | 0.199131i | \(0.936188\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.245496 | + | 0.0258027i | −0.0927887 | + | 0.00975249i | −0.150809 | − | 0.988563i | \(-0.548188\pi\) |
0.0580203 | + | 0.998315i | \(0.481521\pi\) | |||||||
\(8\) | −1.96356 | − | 1.42661i | −0.694222 | − | 0.504382i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | − | 0.0276065i | − | 0.00872994i | ||||||
\(11\) | −0.586694 | + | 3.26432i | −0.176895 | + | 0.984230i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.71036 | + | 1.54002i | 0.474370 | + | 0.427124i | 0.871320 | − | 0.490716i | \(-0.163265\pi\) |
−0.396950 | + | 0.917840i | \(0.629931\pi\) | |||||||
\(14\) | −0.168973 | − | 0.0177597i | −0.0451598 | − | 0.00474649i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.924716 | + | 1.02700i | 0.231179 | + | 0.256750i | ||||
\(17\) | −1.32142 | + | 4.06692i | −0.320492 | + | 0.986372i | 0.652943 | + | 0.757407i | \(0.273534\pi\) |
−0.973435 | + | 0.228965i | \(0.926466\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.64429 | + | 5.01593i | −0.836057 | + | 1.15073i | 0.150708 | + | 0.988578i | \(0.451845\pi\) |
−0.986765 | + | 0.162156i | \(0.948155\pi\) | |||||||
\(20\) | −0.0127276 | + | 0.0598785i | −0.00284597 | + | 0.0133892i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.862129 | + | 2.11375i | −0.183806 | + | 0.450652i | ||||
\(23\) | 5.88883 | − | 3.39992i | 1.22791 | − | 0.708932i | 0.261315 | − | 0.965254i | \(-0.415844\pi\) |
0.966592 | + | 0.256321i | \(0.0825105\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.56626 | − | 2.03303i | 0.913252 | − | 0.406606i | ||||
\(26\) | 0.931121 | + | 1.28158i | 0.182608 | + | 0.251338i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.358314 | + | 0.116423i | 0.0677149 | + | 0.0220019i | ||||
\(29\) | 0.584914 | + | 5.56509i | 0.108616 | + | 1.03341i | 0.904066 | + | 0.427392i | \(0.140568\pi\) |
−0.795450 | + | 0.606019i | \(0.792766\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.21007 | − | 3.56515i | 0.576546 | − | 0.640319i | −0.382370 | − | 0.924009i | \(-0.624892\pi\) |
0.958916 | + | 0.283690i | \(0.0915586\pi\) | |||||||
\(32\) | 2.90269 | + | 5.02760i | 0.513128 | + | 0.888763i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.47164 | + | 2.54895i | −0.252384 | + | 0.437142i | ||||
\(35\) | 0.00305951 | + | 0.00941619i | 0.000517151 | + | 0.00159163i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.26102 | − | 2.36927i | 0.536109 | − | 0.389506i | −0.286529 | − | 0.958072i | \(-0.592502\pi\) |
0.822638 | + | 0.568566i | \(0.192502\pi\) | |||||||
\(38\) | −3.17132 | + | 2.85547i | −0.514456 | + | 0.463218i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.0395948 | + | 0.0889314i | −0.00626049 | + | 0.0140613i | ||||
\(41\) | −1.00378 | + | 9.55032i | −0.156764 | + | 1.49151i | 0.579587 | + | 0.814910i | \(0.303214\pi\) |
−0.736351 | + | 0.676600i | \(0.763453\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.893447 | − | 0.515832i | −0.136249 | − | 0.0786636i | 0.430326 | − | 0.902674i | \(-0.358399\pi\) |
−0.566575 | + | 0.824010i | \(0.691732\pi\) | |||||||
\(44\) | 2.84447 | − | 4.18724i | 0.428820 | − | 0.631251i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 4.45120 | − | 1.44628i | 0.656294 | − | 0.213243i | ||||
\(47\) | 4.52544 | + | 10.1643i | 0.660103 | + | 1.48262i | 0.863932 | + | 0.503609i | \(0.167995\pi\) |
−0.203829 | + | 0.979007i | \(0.565339\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.78743 | + | 1.44271i | −0.969633 | + | 0.206102i | ||||
\(50\) | 3.36517 | − | 0.715289i | 0.475907 | − | 0.101157i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.42875 | − | 3.20902i | −0.198132 | − | 0.445011i | ||||
\(53\) | −8.52885 | + | 2.77119i | −1.17153 | + | 0.380652i | −0.829213 | − | 0.558933i | \(-0.811211\pi\) |
−0.342314 | + | 0.939585i | \(0.611211\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.132959 | − | 0.00420408i | 0.0179282 | − | 0.000566878i | ||||
\(56\) | 0.518855 | + | 0.299561i | 0.0693350 | + | 0.0400306i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.402591 | + | 3.83040i | −0.0528628 | + | 0.502956i | ||||
\(59\) | −1.13411 | + | 2.54726i | −0.147649 | + | 0.331624i | −0.972196 | − | 0.234169i | \(-0.924763\pi\) |
0.824547 | + | 0.565793i | \(0.191430\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.30521 | + | 5.67724i | −0.807299 | + | 0.726896i | −0.965469 | − | 0.260516i | \(-0.916107\pi\) |
0.158170 | + | 0.987412i | \(0.449441\pi\) | |||||||
\(62\) | 2.67137 | − | 1.94086i | 0.339264 | − | 0.246490i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.380665 | + | 1.17156i | 0.0475831 | + | 0.146446i | ||||
\(65\) | 0.0461556 | − | 0.0799438i | 0.00572489 | − | 0.00991581i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.97294 | − | 6.88133i | −0.485372 | − | 0.840689i | 0.514487 | − | 0.857498i | \(-0.327982\pi\) |
−0.999859 | + | 0.0168095i | \(0.994649\pi\) | |||||||
\(68\) | 4.36714 | − | 4.85020i | 0.529594 | − | 0.588173i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.000712321 | 0.00677728i | 8.51386e−5 | 0.000810040i | ||||||
\(71\) | 3.16559 | + | 1.02856i | 0.375687 | + | 0.122068i | 0.490773 | − | 0.871288i | \(-0.336714\pi\) |
−0.115086 | + | 0.993355i | \(0.536714\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.96743 | − | 9.58984i | −0.815476 | − | 1.12241i | −0.990455 | − | 0.137834i | \(-0.955986\pi\) |
0.174980 | − | 0.984572i | \(-0.444014\pi\) | |||||||
\(74\) | 2.53454 | − | 1.12845i | 0.294634 | − | 0.131179i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 8.19506 | − | 4.73142i | 0.940038 | − | 0.542731i | ||||
\(77\) | 0.0598028 | − | 0.816515i | 0.00681516 | − | 0.0930506i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.626023 | − | 2.94520i | 0.0704330 | − | 0.331361i | −0.928797 | − | 0.370588i | \(-0.879156\pi\) |
0.999230 | + | 0.0392267i | \(0.0124895\pi\) | |||||||
\(80\) | 0.0325803 | − | 0.0448429i | 0.00364259 | − | 0.00501359i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −2.04248 | + | 6.28611i | −0.225554 | + | 0.694185i | ||||
\(83\) | −3.54224 | − | 3.93406i | −0.388811 | − | 0.431819i | 0.516683 | − | 0.856177i | \(-0.327167\pi\) |
−0.905495 | + | 0.424358i | \(0.860500\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.170574 | + | 0.0179280i | 0.0185013 | + | 0.00194457i | ||||
\(86\) | −0.527696 | − | 0.475140i | −0.0569029 | − | 0.0512356i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 5.80891 | − | 5.57270i | 0.619232 | − | 0.594052i | ||||
\(89\) | 8.54422i | 0.905686i | 0.891590 | + | 0.452843i | \(0.149590\pi\) | ||||
−0.891590 | + | 0.452843i | \(0.850410\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.459624 | − | 0.333936i | −0.0481817 | − | 0.0350060i | ||||
\(92\) | −10.3214 | + | 1.08483i | −1.07608 | + | 0.113101i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.59220 | + | 7.49072i | 0.164223 | + | 0.772609i | ||||
\(95\) | 0.227176 | + | 0.101145i | 0.0233078 | + | 0.0103773i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.96207 | + | 0.629607i | 0.300752 | + | 0.0639269i | 0.355816 | − | 0.934556i | \(-0.384203\pi\) |
−0.0550639 | + | 0.998483i | \(0.517536\pi\) | |||||||
\(98\) | −4.77610 | −0.482459 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −7.62882 | −0.762882 | ||||||||
\(101\) | 6.80006 | + | 1.44540i | 0.676631 | + | 0.143822i | 0.533395 | − | 0.845866i | \(-0.320916\pi\) |
0.143236 | + | 0.989689i | \(0.454249\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 11.9852 | + | 5.33614i | 1.18093 | + | 0.525786i | 0.900825 | − | 0.434182i | \(-0.142963\pi\) |
0.280109 | + | 0.959968i | \(0.409629\pi\) | |||||||
\(104\) | −1.16139 | − | 5.46393i | −0.113884 | − | 0.535783i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −6.13862 | + | 0.645194i | −0.596235 | + | 0.0626668i | ||||
\(107\) | −1.10712 | − | 0.804368i | −0.107029 | − | 0.0777612i | 0.532983 | − | 0.846126i | \(-0.321071\pi\) |
−0.640012 | + | 0.768365i | \(0.721071\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 7.34454i | − | 0.703480i | −0.936098 | − | 0.351740i | \(-0.885590\pi\) | ||
0.936098 | − | 0.351740i | \(-0.114410\pi\) | |||||||
\(110\) | 0.0901164 | + | 0.0161966i | 0.00859227 | + | 0.00154428i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.253513 | − | 0.228264i | −0.0239547 | − | 0.0215690i | ||||
\(113\) | −0.525647 | − | 0.0552477i | −0.0494487 | − | 0.00519727i | 0.0797718 | − | 0.996813i | \(-0.474581\pi\) |
−0.129221 | + | 0.991616i | \(0.541248\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.182494 | − | 0.202680i | −0.0170177 | − | 0.0189000i | ||||
\(116\) | 2.63917 | − | 8.12253i | 0.245041 | − | 0.754158i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −1.12806 | + | 1.55265i | −0.103847 | + | 0.142933i | ||||
\(119\) | 0.219466 | − | 1.03251i | 0.0201184 | − | 0.0946498i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.3116 | − | 3.83032i | −0.937416 | − | 0.348210i | ||||
\(122\) | −5.05742 | + | 2.91990i | −0.457877 | + | 0.264355i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −6.68900 | + | 2.97814i | −0.600690 | + | 0.267445i | ||||
\(125\) | −0.235715 | − | 0.324434i | −0.0210830 | − | 0.0290183i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 12.1468 | + | 3.94673i | 1.07785 | + | 0.350215i | 0.793541 | − | 0.608517i | \(-0.208235\pi\) |
0.284311 | + | 0.958732i | \(0.408235\pi\) | |||||||
\(128\) | −1.12503 | − | 10.7039i | −0.0994393 | − | 0.946101i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.0425145 | − | 0.0472171i | 0.00372877 | − | 0.00414122i | ||||
\(131\) | −9.07668 | − | 15.7213i | −0.793033 | − | 1.37357i | −0.924081 | − | 0.382198i | \(-0.875167\pi\) |
0.131047 | − | 0.991376i | \(-0.458166\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.765233 | − | 1.32542i | 0.0663542 | − | 0.114929i | ||||
\(134\) | −1.69004 | − | 5.20140i | −0.145997 | − | 0.449333i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 8.39658 | − | 6.10048i | 0.720001 | − | 0.523111i | ||||
\(137\) | 11.9446 | − | 10.7549i | 1.02049 | − | 0.918855i | 0.0237666 | − | 0.999718i | \(-0.492434\pi\) |
0.996725 | + | 0.0808625i | \(0.0257675\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.56891 | − | 3.52382i | 0.133073 | − | 0.298887i | −0.834703 | − | 0.550701i | \(-0.814361\pi\) |
0.967776 | + | 0.251814i | \(0.0810272\pi\) | |||||||
\(140\) | 0.00157954 | − | 0.0150283i | 0.000133495 | − | 0.00127012i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 1.98404 | + | 1.14549i | 0.166497 | + | 0.0961273i | ||||
\(143\) | −6.03057 | + | 4.67966i | −0.504302 | + | 0.391333i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.213453 | − | 0.0693552i | 0.0177263 | − | 0.00575964i | ||||
\(146\) | −3.31848 | − | 7.45343i | −0.274639 | − | 0.616850i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −6.01766 | + | 1.27909i | −0.494649 | + | 0.105141i | ||||
\(149\) | −10.0456 | + | 2.13525i | −0.822965 | + | 0.174927i | −0.600102 | − | 0.799923i | \(-0.704873\pi\) |
−0.222863 | + | 0.974850i | \(0.571540\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.56725 | + | 8.01218i | 0.290299 | + | 0.652022i | 0.998544 | − | 0.0539449i | \(-0.0171795\pi\) |
−0.708245 | + | 0.705967i | \(0.750513\pi\) | |||||||
\(152\) | 14.3115 | − | 4.65010i | 1.16082 | − | 0.377173i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.157109 | − | 0.541161i | 0.0126602 | − | 0.0436080i | ||||
\(155\) | −0.166638 | − | 0.0962084i | −0.0133847 | − | 0.00772765i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.36209 | − | 12.9595i | 0.108707 | − | 1.03428i | −0.795141 | − | 0.606424i | \(-0.792603\pi\) |
0.903848 | − | 0.427853i | \(-0.140730\pi\) | |||||||
\(158\) | 0.842940 | − | 1.89327i | 0.0670607 | − | 0.150621i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.173039 | − | 0.155805i | 0.0136799 | − | 0.0123174i | ||||
\(161\) | −1.35796 | + | 0.986614i | −0.107022 | + | 0.0777561i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −2.83608 | − | 8.72855i | −0.222139 | − | 0.683673i | −0.998569 | − | 0.0534700i | \(-0.982972\pi\) |
0.776431 | − | 0.630203i | \(-0.217028\pi\) | |||||||
\(164\) | 7.32826 | − | 12.6929i | 0.572241 | − | 0.991151i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.82184 | − | 3.15551i | −0.141402 | − | 0.244915i | ||||
\(167\) | −5.09164 | + | 5.65484i | −0.394003 | + | 0.437585i | −0.907209 | − | 0.420681i | \(-0.861791\pi\) |
0.513206 | + | 0.858266i | \(0.328458\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.805183 | − | 7.66080i | −0.0619371 | − | 0.589292i | ||||
\(170\) | 0.112273 | + | 0.0364798i | 0.00861097 | + | 0.00279787i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.925516 | + | 1.27386i | 0.0705699 | + | 0.0971312i | ||||
\(173\) | −15.1835 | + | 6.76013i | −1.15438 | + | 0.513963i | −0.892460 | − | 0.451126i | \(-0.851022\pi\) |
−0.261920 | + | 0.965090i | \(0.584356\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.06854 | + | 0.616922i | −0.0807740 | + | 0.0466349i | ||||
\(176\) | −3.89499 | + | 2.41603i | −0.293596 | + | 0.182115i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.22271 | + | 5.75240i | −0.0916460 | + | 0.431161i | ||||
\(179\) | −4.14376 | + | 5.70340i | −0.309719 | + | 0.426292i | −0.935294 | − | 0.353872i | \(-0.884865\pi\) |
0.625574 | + | 0.780165i | \(0.284865\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −6.52756 | + | 20.0898i | −0.485189 | + | 1.49326i | 0.346517 | + | 0.938044i | \(0.387364\pi\) |
−0.831706 | + | 0.555216i | \(0.812636\pi\) | |||||||
\(182\) | −0.261654 | − | 0.290597i | −0.0193951 | − | 0.0215405i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −16.4134 | − | 1.72512i | −1.21001 | − | 0.127177i | ||||
\(185\) | −0.120146 | − | 0.108180i | −0.00883329 | − | 0.00795353i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −12.5005 | − | 6.69958i | −0.914124 | − | 0.489922i | ||||
\(188\) | − | 16.9814i | − | 1.23850i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.138472 | + | 0.100606i | 0.0100458 | + | 0.00729873i | ||||
\(191\) | 13.5934 | − | 1.42872i | 0.983583 | − | 0.103379i | 0.400937 | − | 0.916105i | \(-0.368684\pi\) |
0.582645 | + | 0.812727i | \(0.302018\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 5.20504 | + | 24.4878i | 0.374667 | + | 1.76267i | 0.611622 | + | 0.791150i | \(0.290517\pi\) |
−0.236955 | + | 0.971521i | \(0.576149\pi\) | |||||||
\(194\) | 1.90411 | + | 0.847766i | 0.136707 | + | 0.0608661i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 10.3594 | + | 2.20195i | 0.739954 | + | 0.157282i | ||||
\(197\) | 21.0442 | 1.49934 | 0.749668 | − | 0.661814i | \(-0.230213\pi\) | ||||
0.749668 | + | 0.661814i | \(0.230213\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −10.3709 | −0.735176 | −0.367588 | − | 0.929989i | \(-0.619816\pi\) | ||||
−0.367588 | + | 0.929989i | \(0.619816\pi\) | |||||||
\(200\) | −11.8664 | − | 2.52229i | −0.839084 | − | 0.178353i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 4.37130 | + | 1.94623i | 0.307564 | + | 0.136936i | ||||
\(203\) | −0.287188 | − | 1.35111i | −0.0201566 | − | 0.0948296i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.383051 | − | 0.0402603i | 0.0267535 | − | 0.00281190i | ||||
\(206\) | 7.30540 | + | 5.30768i | 0.508991 | + | 0.369804i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 3.18062i | 0.220537i | ||||||||
\(209\) | −14.2355 | − | 14.8389i | −0.984693 | − | 1.02643i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 13.9292 | + | 12.5419i | 0.958927 | + | 0.863422i | 0.990699 | − | 0.136073i | \(-0.0434483\pi\) |
−0.0317716 | + | 0.999495i | \(0.510115\pi\) | |||||||
\(212\) | 13.6121 | + | 1.43069i | 0.934884 | + | 0.0982602i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.630259 | − | 0.699974i | −0.0430836 | − | 0.0478492i | ||||
\(215\) | −0.0127867 | + | 0.0393535i | −0.000872048 | + | 0.00268389i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.696069 | + | 0.958057i | −0.0472523 | + | 0.0650372i | ||||
\(218\) | 1.05103 | − | 4.94472i | 0.0711848 | − | 0.334898i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.187995 | − | 0.0766772i | −0.0126746 | − | 0.00516957i | ||||
\(221\) | −8.52324 | + | 4.92090i | −0.573335 | + | 0.331015i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 8.83301 | − | 3.93271i | 0.591502 | − | 0.263354i | −0.0890812 | − | 0.996024i | \(-0.528393\pi\) |
0.680583 | + | 0.732671i | \(0.261726\pi\) | |||||||
\(224\) | −0.842323 | − | 1.15936i | −0.0562801 | − | 0.0774629i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.345986 | − | 0.112418i | −0.0230146 | − | 0.00747791i | ||||
\(227\) | −1.22467 | − | 11.6520i | −0.0812845 | − | 0.773370i | −0.956911 | − | 0.290381i | \(-0.906218\pi\) |
0.875626 | − | 0.482989i | \(-0.160449\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 13.7039 | − | 15.2197i | 0.905580 | − | 1.00575i | −0.0943680 | − | 0.995537i | \(-0.530083\pi\) |
0.999948 | − | 0.0102110i | \(-0.00325031\pi\) | |||||||
\(230\) | −0.0938599 | − | 0.162570i | −0.00618894 | − | 0.0107196i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 6.79068 | − | 11.7618i | 0.445830 | − | 0.772201i | ||||
\(233\) | 4.98842 | + | 15.3528i | 0.326802 | + | 1.00579i | 0.970621 | + | 0.240615i | \(0.0773492\pi\) |
−0.643818 | + | 0.765178i | \(0.722651\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.361031 | − | 0.262304i | 0.0235510 | − | 0.0171108i | ||||
\(236\) | 3.16259 | − | 2.84761i | 0.205867 | − | 0.185364i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.295511 | − | 0.663730i | 0.0191552 | − | 0.0430232i | ||||
\(239\) | 2.96730 | − | 28.2320i | 0.191939 | − | 1.82618i | −0.298166 | − | 0.954514i | \(-0.596375\pi\) |
0.490105 | − | 0.871663i | \(-0.336958\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 12.4408 | + | 7.18270i | 0.801383 | + | 0.462679i | 0.843954 | − | 0.536415i | \(-0.180222\pi\) |
−0.0425716 | + | 0.999093i | \(0.513555\pi\) | |||||||
\(242\) | −6.39414 | − | 4.05439i | −0.411031 | − | 0.260626i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 12.3157 | − | 4.00162i | 0.788433 | − | 0.256177i | ||||
\(245\) | 0.113202 | + | 0.254255i | 0.00723220 | + | 0.0162438i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −13.9577 | + | 2.96680i | −0.888107 | + | 0.188773i | ||||
\(248\) | −11.3892 | + | 2.42086i | −0.723217 | + | 0.153724i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.112268 | − | 0.252157i | −0.00710043 | − | 0.0159478i | ||||
\(251\) | 6.60298 | − | 2.14544i | 0.416776 | − | 0.135419i | −0.0931196 | − | 0.995655i | \(-0.529684\pi\) |
0.509896 | + | 0.860236i | \(0.329684\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 7.64348 | + | 21.2178i | 0.480542 | + | 1.33395i | ||||
\(254\) | 7.61303 | + | 4.39538i | 0.477684 | + | 0.275791i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 1.03187 | − | 9.81763i | 0.0644921 | − | 0.613602i | ||||
\(257\) | −4.23750 | + | 9.51759i | −0.264328 | + | 0.593691i | −0.996136 | − | 0.0878199i | \(-0.972010\pi\) |
0.731808 | + | 0.681511i | \(0.238677\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.739434 | + | 0.665789i | −0.0459462 | + | 0.0413701i | ||||
\(260\) | −0.113983 | + | 0.0828133i | −0.00706891 | + | 0.00513586i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −3.86110 | − | 11.8833i | −0.238540 | − | 0.734150i | ||||
\(263\) | 2.13055 | − | 3.69022i | 0.131375 | − | 0.227549i | −0.792832 | − | 0.609441i | \(-0.791394\pi\) |
0.924207 | + | 0.381892i | \(0.124727\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.179843 | + | 0.311497i | 0.0110477 | + | 0.0191351i | ||||
\(266\) | 0.704867 | − | 0.782834i | 0.0432182 | − | 0.0479986i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.26766 | + | 12.0610i | 0.0774348 | + | 0.736743i | ||||
\(269\) | −10.5223 | − | 3.41889i | −0.641553 | − | 0.208453i | −0.0298672 | − | 0.999554i | \(-0.509508\pi\) |
−0.611686 | + | 0.791101i | \(0.709508\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 9.34327 | + | 12.8599i | 0.567563 | + | 0.781184i | 0.992263 | − | 0.124150i | \(-0.0396205\pi\) |
−0.424700 | + | 0.905334i | \(0.639621\pi\) | |||||||
\(272\) | −5.39867 | + | 2.40364i | −0.327342 | + | 0.145742i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 9.58074 | − | 5.53144i | 0.578794 | − | 0.334167i | ||||
\(275\) | 3.95746 | + | 16.0985i | 0.238644 | + | 0.970776i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2.35794 | + | 11.0932i | −0.141675 | + | 0.666527i | 0.848787 | + | 0.528736i | \(0.177334\pi\) |
−0.990461 | + | 0.137791i | \(0.956000\pi\) | |||||||
\(278\) | 1.56054 | − | 2.14790i | 0.0935949 | − | 0.128822i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.00742570 | − | 0.0228539i | 0.000443770 | − | 0.00136578i | ||||
\(281\) | 1.04404 | + | 1.15953i | 0.0622823 | + | 0.0691715i | 0.773481 | − | 0.633820i | \(-0.218514\pi\) |
−0.711198 | + | 0.702991i | \(0.751847\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −26.4199 | − | 2.77684i | −1.57050 | − | 0.165066i | −0.721106 | − | 0.692825i | \(-0.756366\pi\) |
−0.849394 | + | 0.527759i | \(0.823033\pi\) | |||||||
\(284\) | −3.77528 | − | 3.39928i | −0.224022 | − | 0.201710i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −4.72976 | + | 2.28758i | −0.279677 | + | 0.135268i | ||||
\(287\) | − | 2.37046i | − | 0.139924i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.04038 | − | 0.755878i | −0.0611986 | − | 0.0444634i | ||||
\(290\) | 0.153633 | − | 0.0161474i | 0.00902161 | − | 0.000948210i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 3.76149 | + | 17.6964i | 0.220125 | + | 1.03560i | ||||
\(293\) | −24.0578 | − | 10.7112i | −1.40547 | − | 0.625756i | −0.442848 | − | 0.896597i | \(-0.646032\pi\) |
−0.962624 | + | 0.270840i | \(0.912698\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.109392 | + | 0.0232520i | 0.00636905 | + | 0.00135378i | ||||
\(296\) | −9.78322 | −0.568638 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −7.06874 | −0.409481 | ||||||||
\(299\) | 15.3080 | + | 3.25381i | 0.885284 | + | 0.188173i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.232647 | + | 0.103581i | 0.0134096 | + | 0.00597032i | ||||
\(302\) | 1.25508 | + | 5.90469i | 0.0722217 | + | 0.339777i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −8.52130 | + | 0.895625i | −0.488730 | + | 0.0513676i | ||||
\(305\) | 0.275310 | + | 0.200025i | 0.0157642 | + | 0.0114534i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 26.0083i | − | 1.48437i | −0.670195 | − | 0.742185i | \(-0.733789\pi\) | ||
0.670195 | − | 0.742185i | \(-0.266211\pi\) | |||||||
\(308\) | −0.590263 | + | 1.10135i | −0.0336334 | + | 0.0627550i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.0984212 | − | 0.0886189i | −0.00558995 | − | 0.00503321i | ||||
\(311\) | 13.2518 | + | 1.39282i | 0.751439 | + | 0.0789794i | 0.472502 | − | 0.881330i | \(-0.343351\pi\) |
0.278938 | + | 0.960309i | \(0.410018\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −7.52659 | − | 8.35913i | −0.425428 | − | 0.472486i | 0.491880 | − | 0.870663i | \(-0.336310\pi\) |
−0.917309 | + | 0.398177i | \(0.869643\pi\) | |||||||
\(314\) | 2.77158 | − | 8.53004i | 0.156409 | − | 0.481378i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.70120 | + | 3.71788i | −0.151954 | + | 0.209147i | ||||
\(317\) | −2.27718 | + | 10.7133i | −0.127899 | + | 0.601718i | 0.866780 | + | 0.498692i | \(0.166186\pi\) |
−0.994679 | + | 0.103026i | \(0.967147\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −18.5094 | − | 1.35566i | −1.03633 | − | 0.0759022i | ||||
\(320\) | 0.0427888 | − | 0.0247041i | 0.00239196 | − | 0.00138100i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −1.05543 | + | 0.469909i | −0.0588170 | + | 0.0261870i | ||||
\(323\) | −15.5837 | − | 21.4492i | −0.867103 | − | 1.19346i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 10.9409 | + | 3.55490i | 0.606890 | + | 0.197191i | ||||
\(326\) | −0.660302 | − | 6.28235i | −0.0365707 | − | 0.347947i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 15.5955 | − | 17.3206i | 0.861120 | − | 0.956370i | ||||
\(329\) | −1.37324 | − | 2.37852i | −0.0757093 | − | 0.131132i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.11643 | + | 3.66576i | −0.116329 | + | 0.201488i | −0.918310 | − | 0.395861i | \(-0.870446\pi\) |
0.801981 | + | 0.597349i | \(0.203779\pi\) | |||||||
\(332\) | 2.49676 | + | 7.68424i | 0.137027 | + | 0.421727i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −4.23718 | + | 3.07849i | −0.231848 | + | 0.168447i | ||||
\(335\) | −0.236840 | + | 0.213251i | −0.0129399 | + | 0.0116512i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.08289 | + | 2.43221i | −0.0589887 | + | 0.132491i | −0.940635 | − | 0.339420i | \(-0.889769\pi\) |
0.881646 | + | 0.471911i | \(0.156436\pi\) | |||||||
\(338\) | 0.554200 | − | 5.27286i | 0.0301445 | − | 0.286806i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.226702 | − | 0.130887i | −0.0122947 | − | 0.00709832i | ||||
\(341\) | 9.75446 | + | 12.5704i | 0.528233 | + | 0.680723i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 3.27243 | − | 1.06328i | 0.176694 | − | 0.0574115i | ||||
\(344\) | 1.01844 | + | 2.28746i | 0.0549108 | + | 0.123332i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −11.1897 | + | 2.37844i | −0.601562 | + | 0.127866i | ||||
\(347\) | 16.2403 | − | 3.45199i | 0.871827 | − | 0.185313i | 0.249790 | − | 0.968300i | \(-0.419638\pi\) |
0.622038 | + | 0.782987i | \(0.286305\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −5.60270 | − | 12.5839i | −0.299906 | − | 0.673599i | 0.699242 | − | 0.714885i | \(-0.253521\pi\) |
−0.999147 | + | 0.0412862i | \(0.986854\pi\) | |||||||
\(350\) | −0.807679 | + | 0.262431i | −0.0431722 | + | 0.0140275i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −18.1147 | + | 6.52564i | −0.965517 | + | 0.347818i | ||||
\(353\) | 9.54783 | + | 5.51244i | 0.508180 | + | 0.293398i | 0.732085 | − | 0.681213i | \(-0.238547\pi\) |
−0.223905 | + | 0.974611i | \(0.571881\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.0139548 | − | 0.132771i | 0.000740641 | − | 0.00704673i | ||||
\(356\) | 5.30412 | − | 11.9132i | 0.281118 | − | 0.631400i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −3.60597 | + | 3.24683i | −0.190581 | + | 0.171600i | ||||
\(359\) | −15.3828 | + | 11.1763i | −0.811875 | + | 0.589862i | −0.914374 | − | 0.404871i | \(-0.867316\pi\) |
0.102499 | + | 0.994733i | \(0.467316\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.00743 | − | 18.4890i | −0.316180 | − | 0.973103i | ||||
\(362\) | −7.26960 | + | 12.5913i | −0.382082 | + | 0.661785i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.433553 | + | 0.750936i | 0.0227243 | + | 0.0393597i | ||||
\(365\) | −0.318129 | + | 0.353318i | −0.0166516 | + | 0.0184935i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 0.595517 | + | 5.66597i | 0.0310857 | + | 0.295761i | 0.999009 | + | 0.0445141i | \(0.0141740\pi\) |
−0.967923 | + | 0.251247i | \(0.919159\pi\) | |||||||
\(368\) | 8.93722 | + | 2.90388i | 0.465885 | + | 0.151375i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.0654073 | − | 0.0900254i | −0.00340036 | − | 0.00468020i | ||||
\(371\) | 2.02229 | − | 0.900382i | 0.104992 | − | 0.0467455i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 19.1906 | − | 11.0797i | 0.993651 | − | 0.573684i | 0.0872871 | − | 0.996183i | \(-0.472180\pi\) |
0.906364 | + | 0.422499i | \(0.138847\pi\) | |||||||
\(374\) | −7.45720 | − | 6.29936i | −0.385603 | − | 0.325732i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 5.61451 | − | 26.4142i | 0.289546 | − | 1.36221i | ||||
\(377\) | −7.56992 | + | 10.4191i | −0.389871 | + | 0.536611i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −0.117844 | + | 0.362687i | −0.00605325 | + | 0.0186300i | −0.954038 | − | 0.299687i | \(-0.903118\pi\) |
0.947984 | + | 0.318317i | \(0.103118\pi\) | |||||||
\(380\) | −0.253964 | − | 0.282055i | −0.0130281 | − | 0.0144691i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 9.35620 | + | 0.983377i | 0.478705 | + | 0.0503139i | ||||
\(383\) | 9.41151 | + | 8.47416i | 0.480906 | + | 0.433009i | 0.873589 | − | 0.486664i | \(-0.161787\pi\) |
−0.392684 | + | 0.919674i | \(0.628453\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.0325325 | + | 0.00446278i | −0.00165801 | + | 0.000227445i | ||||
\(386\) | 17.2313i | 0.877049i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −3.73917 | − | 2.71667i | −0.189828 | − | 0.137918i | ||||
\(389\) | −23.6682 | + | 2.48763i | −1.20003 | + | 0.126128i | −0.683375 | − | 0.730068i | \(-0.739489\pi\) |
−0.516652 | + | 0.856196i | \(0.672822\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 6.04556 | + | 28.4421i | 0.305737 | + | 1.43838i | ||||
\(392\) | 15.3857 | + | 6.85015i | 0.777095 | + | 0.345985i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 14.1680 | + | 3.01150i | 0.713774 | + | 0.151717i | ||||
\(395\) | −0.120768 | −0.00607647 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.00497 | 0.251192 | 0.125596 | − | 0.992081i | \(-0.459916\pi\) | ||||
0.125596 | + | 0.992081i | \(0.459916\pi\) | |||||||
\(398\) | −6.98224 | − | 1.48412i | −0.349988 | − | 0.0743922i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 6.31041 | + | 2.80958i | 0.315521 | + | 0.140479i | ||||
\(401\) | 0.882409 | + | 4.15141i | 0.0440654 | + | 0.207311i | 0.994673 | − | 0.103085i | \(-0.0328715\pi\) |
−0.950607 | + | 0.310397i | \(0.899538\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 10.9808 | − | 1.15413i | 0.546992 | − | 0.0574912i | ||||
\(404\) | −8.58407 | − | 6.23669i | −0.427073 | − | 0.310287i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | − | 0.950735i | − | 0.0471842i | ||||||
\(407\) | 5.82084 | + | 12.0351i | 0.288528 | + | 0.596556i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 8.77325 | + | 7.89947i | 0.433809 | + | 0.390604i | 0.856899 | − | 0.515484i | \(-0.172388\pi\) |
−0.423090 | + | 0.906088i | \(0.639055\pi\) | |||||||
\(410\) | 0.263651 | + | 0.0277108i | 0.0130208 | + | 0.00136854i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −13.3984 | − | 14.8804i | −0.660091 | − | 0.733105i | ||||
\(413\) | 0.212694 | − | 0.654604i | 0.0104660 | − | 0.0322109i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.124803 | + | 0.171777i | −0.00612634 | + | 0.00843218i | ||||
\(416\) | −2.77795 | + | 13.0692i | −0.136200 | + | 0.640771i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −7.46057 | − | 12.0275i | −0.364908 | − | 0.588284i | ||||
\(419\) | 18.1688 | − | 10.4898i | 0.887604 | − | 0.512459i | 0.0144463 | − | 0.999896i | \(-0.495401\pi\) |
0.873158 | + | 0.487437i | \(0.162068\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.53945 | + | 1.13064i | −0.123765 | + | 0.0551039i | −0.467685 | − | 0.883895i | \(-0.654912\pi\) |
0.343920 | + | 0.938999i | \(0.388245\pi\) | |||||||
\(422\) | 7.58306 | + | 10.4372i | 0.369137 | + | 0.508074i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 20.7003 | + | 6.72593i | 1.00529 | + | 0.326640i | ||||
\(425\) | 2.23421 | + | 21.2571i | 0.108375 | + | 1.03112i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.40141 | − | 1.55643i | 0.0678192 | − | 0.0753209i | ||||
\(428\) | 1.04432 | + | 1.80881i | 0.0504791 | + | 0.0874324i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.0142403 | + | 0.0246649i | −0.000686729 | + | 0.00118945i | ||||
\(431\) | −8.63060 | − | 26.5623i | −0.415722 | − | 1.27946i | −0.911604 | − | 0.411070i | \(-0.865155\pi\) |
0.495882 | − | 0.868390i | \(-0.334845\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 7.41714 | − | 5.38887i | 0.356445 | − | 0.258973i | −0.395123 | − | 0.918628i | \(-0.629298\pi\) |
0.751568 | + | 0.659656i | \(0.229298\pi\) | |||||||
\(434\) | −0.605731 | + | 0.545402i | −0.0290760 | + | 0.0261801i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −4.55937 | + | 10.2405i | −0.218354 | + | 0.490432i | ||||
\(437\) | −4.40684 | + | 41.9283i | −0.210808 | + | 2.00570i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2.53842 | + | 1.46556i | 0.121152 | + | 0.0699472i | 0.559351 | − | 0.828931i | \(-0.311050\pi\) |
−0.438199 | + | 0.898878i | \(0.644384\pi\) | |||||||
\(440\) | −0.267071 | − | 0.181426i | −0.0127321 | − | 0.00864913i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −6.44247 | + | 2.09329i | −0.306437 | + | 0.0995675i | ||||
\(443\) | 14.5780 | + | 32.7427i | 0.692622 | + | 1.55565i | 0.825425 | + | 0.564512i | \(0.190936\pi\) |
−0.132803 | + | 0.991142i | \(0.542398\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.335209 | − | 0.0712509i | 0.0158904 | − | 0.00337762i | ||||
\(446\) | 6.50961 | − | 1.38366i | 0.308239 | − | 0.0655183i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.123681 | − | 0.277792i | −0.00584338 | − | 0.0131244i | ||||
\(449\) | −13.5184 | + | 4.39241i | −0.637974 | + | 0.207290i | −0.610104 | − | 0.792321i | \(-0.708872\pi\) |
−0.0278700 | + | 0.999612i | \(0.508872\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −30.5864 | − | 8.87978i | −1.44026 | − | 0.418132i | ||||
\(452\) | 0.698615 | + | 0.403345i | 0.0328601 | + | 0.0189718i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0.842933 | − | 8.01997i | 0.0395608 | − | 0.376396i | ||||
\(455\) | −0.00926824 | + | 0.0208168i | −0.000434502 | + | 0.000975907i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −15.1596 | + | 13.6498i | −0.709137 | + | 0.638510i | −0.942626 | − | 0.333850i | \(-0.891652\pi\) |
0.233489 | + | 0.972359i | \(0.424986\pi\) | |||||||
\(458\) | 11.4042 | − | 8.28561i | 0.532882 | − | 0.387161i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.128631 | + | 0.395887i | 0.00599747 | + | 0.0184583i | ||||
\(461\) | 0.385177 | − | 0.667146i | 0.0179395 | − | 0.0310721i | −0.856916 | − | 0.515456i | \(-0.827623\pi\) |
0.874856 | + | 0.484383i | \(0.160956\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −18.8974 | − | 32.7312i | −0.878236 | − | 1.52115i | −0.853275 | − | 0.521461i | \(-0.825387\pi\) |
−0.0249608 | − | 0.999688i | \(-0.507946\pi\) | |||||||
\(464\) | −5.17447 | + | 5.74683i | −0.240219 | + | 0.266790i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.16141 | + | 11.0501i | 0.0538015 | + | 0.511887i | ||||
\(467\) | 16.7411 | + | 5.43950i | 0.774684 | + | 0.251710i | 0.669569 | − | 0.742750i | \(-0.266479\pi\) |
0.105115 | + | 0.994460i | \(0.466479\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.15290 | + | 1.58683i | 0.0532358 | + | 0.0732728i | ||||
\(470\) | 0.280601 | − | 0.124931i | 0.0129431 | − | 0.00576266i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 5.86083 | − | 3.38375i | 0.269766 | − | 0.155750i | ||||
\(473\) | 2.20802 | − | 2.61386i | 0.101525 | − | 0.120185i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −6.44323 | + | 30.3130i | −0.295635 | + | 1.39086i | ||||
\(476\) | −0.946967 | + | 1.30339i | −0.0434042 | + | 0.0597407i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 6.03785 | − | 18.5826i | 0.276165 | − | 0.849948i | ||||
\(479\) | 1.60983 | + | 1.78790i | 0.0735552 | + | 0.0816914i | 0.778799 | − | 0.627273i | \(-0.215829\pi\) |
−0.705244 | + | 0.708965i | \(0.749162\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 9.22626 | + | 0.969719i | 0.420681 | + | 0.0442154i | ||||
\(482\) | 7.34791 | + | 6.61608i | 0.334688 | + | 0.301354i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 11.9997 | + | 11.7419i | 0.545440 | + | 0.533722i | ||||
\(485\) | − | 0.121459i | − | 0.00551517i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −11.8099 | − | 8.58039i | −0.535157 | − | 0.388815i | 0.287126 | − | 0.957893i | \(-0.407300\pi\) |
−0.822283 | + | 0.569078i | \(0.807300\pi\) | |||||||
\(488\) | 20.4798 | − | 2.15252i | 0.927078 | − | 0.0974398i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.0398282 | + | 0.187377i | 0.00179926 | + | 0.00846484i | ||||
\(491\) | 22.8773 | + | 10.1856i | 1.03244 | + | 0.459672i | 0.851794 | − | 0.523876i | \(-0.175515\pi\) |
0.180646 | + | 0.983548i | \(0.442181\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −23.4057 | − | 4.97503i | −1.05414 | − | 0.224064i | ||||
\(494\) | −9.82158 | −0.441894 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 6.62982 | 0.297688 | ||||||||
\(497\) | −0.803679 | − | 0.170827i | −0.0360499 | − | 0.00766265i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 20.7480 | + | 9.23762i | 0.928810 | + | 0.413533i | 0.814665 | − | 0.579931i | \(-0.196921\pi\) |
0.114145 | + | 0.993464i | \(0.463587\pi\) | |||||||
\(500\) | 0.127255 | + | 0.598688i | 0.00569102 | + | 0.0267742i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 4.75248 | − | 0.499506i | 0.212113 | − | 0.0222940i | ||||
\(503\) | −8.41953 | − | 6.11715i | −0.375408 | − | 0.272750i | 0.384042 | − | 0.923316i | \(-0.374532\pi\) |
−0.759450 | + | 0.650566i | \(0.774532\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | − | 0.278835i | − | 0.0124080i | ||||||
\(506\) | 2.10964 | + | 15.3787i | 0.0937848 | + | 0.683665i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −14.4862 | − | 13.0435i | −0.642722 | − | 0.578710i | ||||
\(509\) | −8.04120 | − | 0.845164i | −0.356420 | − | 0.0374613i | −0.0753734 | − | 0.997155i | \(-0.524015\pi\) |
−0.281047 | + | 0.959694i | \(0.590682\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.95792 | + | 2.17449i | 0.0866132 | + | 0.0961937i | ||||
\(512\) | −4.55217 | + | 14.0102i | −0.201180 | + | 0.619167i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −4.21490 | + | 5.80132i | −0.185911 | + | 0.255885i | ||||
\(515\) | 0.109404 | − | 0.514704i | 0.00482090 | − | 0.0226806i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −35.8346 | + | 8.80915i | −1.57600 | + | 0.387426i | ||||
\(518\) | −0.593101 | + | 0.342427i | −0.0260594 | + | 0.0150454i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.204678 | + | 0.0911283i | −0.00897570 | + | 0.00399624i | ||||
\(521\) | 20.5846 | + | 28.3323i | 0.901828 | + | 1.24126i | 0.969881 | + | 0.243578i | \(0.0783211\pi\) |
−0.0680535 | + | 0.997682i | \(0.521679\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 41.1766 | + | 13.3791i | 1.80052 | + | 0.585026i | 0.999900 | − | 0.0141400i | \(-0.00450104\pi\) |
0.800625 | + | 0.599166i | \(0.204501\pi\) | |||||||
\(524\) | 2.89613 | + | 27.5549i | 0.126518 | + | 1.20374i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 1.96248 | − | 2.17955i | 0.0855681 | − | 0.0950330i | ||||
\(527\) | 10.2573 | + | 17.7662i | 0.446815 | + | 0.773906i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.6189 | − | 20.1245i | 0.505170 | − | 0.874980i | ||||
\(530\) | 0.0765028 | + | 0.235452i | 0.00332307 | + | 0.0102274i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −1.88977 | + | 1.37300i | −0.0819319 | + | 0.0595270i | ||||
\(533\) | −16.4245 | + | 14.7887i | −0.711424 | + | 0.640569i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.0223249 | + | 0.0501424i | −0.000965188 | + | 0.00216785i | ||||
\(536\) | −2.01587 | + | 19.1797i | −0.0870723 | + | 0.828438i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −6.59486 | − | 3.80754i | −0.284324 | − | 0.164155i | ||||
\(539\) | −0.727333 | − | 23.0028i | −0.0313284 | − | 0.990800i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −0.215252 | + | 0.0699396i | −0.00925440 | + | 0.00300694i | −0.313641 | − | 0.949542i | \(-0.601549\pi\) |
0.304386 | + | 0.952549i | \(0.401549\pi\) | |||||||
\(542\) | 4.45006 | + | 9.99499i | 0.191146 | + | 0.429322i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −24.2825 | + | 5.16141i | −1.04110 | + | 0.221294i | ||||
\(545\) | −0.288143 | + | 0.0612467i | −0.0123427 | + | 0.00262352i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −6.69621 | − | 15.0399i | −0.286309 | − | 0.643061i | 0.711938 | − | 0.702242i | \(-0.247818\pi\) |
−0.998247 | + | 0.0591812i | \(0.981151\pi\) | |||||||
\(548\) | −23.3308 | + | 7.58064i | −0.996643 | + | 0.323829i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.360607 | + | 11.4046i | 0.0153763 | + | 0.486296i | ||||
\(551\) | −30.0457 | − | 17.3469i | −1.27999 | − | 0.739003i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.0776919 | + | 0.739189i | −0.00330379 | + | 0.0314335i | ||||
\(554\) | −3.17496 | + | 7.13108i | −0.134891 | + | 0.302971i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −4.37506 | + | 3.93932i | −0.185544 | + | 0.167065i | ||||
\(557\) | 21.2624 | − | 15.4481i | 0.900919 | − | 0.654556i | −0.0377832 | − | 0.999286i | \(-0.512030\pi\) |
0.938702 | + | 0.344730i | \(0.112030\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.733729 | − | 2.25818i | −0.0310334 | − | 0.0955110i | ||||
\(560\) | −0.00684126 | + | 0.0118494i | −0.000289096 | + | 0.000500729i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.536969 | + | 0.930057i | 0.0226507 | + | 0.0392321i | ||||
\(563\) | 24.3334 | − | 27.0250i | 1.02553 | − | 1.13897i | 0.0353234 | − | 0.999376i | \(-0.488754\pi\) |
0.990209 | − | 0.139593i | \(-0.0445795\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.00221592 | + | 0.0210830i | 9.32243e−5 | + | 0.000886970i | ||||
\(566\) | −17.3898 | − | 5.65030i | −0.730949 | − | 0.237500i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −4.74846 | − | 6.53570i | −0.199241 | − | 0.274232i | ||||
\(569\) | 18.4816 | − | 8.22855i | 0.774790 | − | 0.344959i | 0.0190401 | − | 0.999819i | \(-0.493939\pi\) |
0.755750 | + | 0.654860i | \(0.227272\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 21.1312 | − | 12.2001i | 0.884313 | − | 0.510558i | 0.0122350 | − | 0.999925i | \(-0.496105\pi\) |
0.872078 | + | 0.489367i | \(0.162772\pi\) | |||||||
\(572\) | 11.3135 | − | 2.78118i | 0.473042 | − | 0.116287i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.339222 | − | 1.59592i | 0.0141589 | − | 0.0666123i | ||||
\(575\) | 19.9778 | − | 27.4971i | 0.833132 | − | 1.14671i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −5.96494 | + | 18.3582i | −0.248324 | + | 0.764262i | 0.746748 | + | 0.665107i | \(0.231614\pi\) |
−0.995072 | + | 0.0991553i | \(0.968386\pi\) | |||||||
\(578\) | −0.592265 | − | 0.657777i | −0.0246350 | − | 0.0273599i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.340673 | − | 0.0358062i | −0.0141457 | − | 0.00148677i | ||||
\(581\) | 0.971115 | + | 0.874395i | 0.0402886 | + | 0.0362760i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.04223 | − | 29.4667i | −0.167412 | − | 1.22039i | ||||
\(584\) | 28.7700i | 1.19051i | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −14.6641 | − | 10.6541i | −0.605769 | − | 0.440117i | ||||
\(587\) | −19.0315 | + | 2.00029i | −0.785513 | + | 0.0825608i | −0.488789 | − | 0.872402i | \(-0.662561\pi\) |
−0.296725 | + | 0.954963i | \(0.595894\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 6.18411 | + | 29.0939i | 0.254812 | + | 1.19880i | ||||
\(590\) | 0.0703208 | + | 0.0313088i | 0.00289506 | + | 0.00128896i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 5.44876 | + | 1.15817i | 0.223943 | + | 0.0476005i | ||||
\(593\) | −14.9885 | −0.615503 | −0.307751 | − | 0.951467i | \(-0.599577\pi\) | ||||
−0.307751 | + | 0.951467i | \(0.599577\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.0423378 | −0.00173568 | ||||||||
\(596\) | 15.3321 | + | 3.25894i | 0.628027 | + | 0.133491i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 9.84047 | + | 4.38126i | 0.402407 | + | 0.179163i | ||||
\(599\) | −6.93195 | − | 32.6123i | −0.283232 | − | 1.33250i | −0.857774 | − | 0.514027i | \(-0.828153\pi\) |
0.574542 | − | 0.818475i | \(-0.305180\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 42.0414 | − | 4.41873i | 1.71490 | − | 0.180244i | 0.804497 | − | 0.593957i | \(-0.202435\pi\) |
0.910407 | + | 0.413713i | \(0.135768\pi\) | |||||||
\(602\) | 0.141807 | + | 0.103029i | 0.00577962 | + | 0.00419914i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | − | 13.3859i | − | 0.544664i | ||||||
\(605\) | −0.0642829 | + | 0.436488i | −0.00261347 | + | 0.0177458i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 22.9527 | + | 20.6667i | 0.931621 | + | 0.838835i | 0.987179 | − | 0.159620i | \(-0.0510269\pi\) |
−0.0555574 | + | 0.998455i | \(0.517694\pi\) | |||||||
\(608\) | −35.7964 | − | 3.76235i | −1.45173 | − | 0.152583i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.156729 | + | 0.174065i | 0.00634575 | + | 0.00704767i | ||||
\(611\) | −7.91306 | + | 24.3539i | −0.320128 | + | 0.985254i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −9.38958 | + | 12.9237i | −0.379242 | + | 0.521981i | −0.955383 | − | 0.295368i | \(-0.904558\pi\) |
0.576142 | + | 0.817350i | \(0.304558\pi\) | |||||||
\(614\) | 3.72188 | − | 17.5101i | 0.150203 | − | 0.706649i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1.28227 | + | 1.51796i | −0.0516643 | + | 0.0611603i | ||||
\(617\) | 2.28088 | − | 1.31687i | 0.0918248 | − | 0.0530151i | −0.453384 | − | 0.891315i | \(-0.649784\pi\) |
0.545209 | + | 0.838300i | \(0.316450\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 18.4988 | − | 8.23620i | 0.743530 | − | 0.331041i | 0.000230521 | − | 1.00000i | \(-0.499927\pi\) |
0.743299 | + | 0.668959i | \(0.233260\pi\) | |||||||
\(620\) | 0.172619 | + | 0.237590i | 0.00693255 | + | 0.00954184i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 8.72244 | + | 2.83409i | 0.349738 | + | 0.113637i | ||||
\(623\) | −0.220464 | − | 2.09757i | −0.00883269 | − | 0.0840374i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 16.7121 | − | 18.5607i | 0.668485 | − | 0.742428i | ||||
\(626\) | −3.87106 | − | 6.70487i | −0.154719 | − | 0.267980i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −9.94420 | + | 17.2239i | −0.396817 | + | 0.687307i | ||||
\(629\) | 5.32645 | + | 16.3931i | 0.212379 | + | 0.653636i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −6.82846 | + | 4.96116i | −0.271837 | + | 0.197501i | −0.715349 | − | 0.698767i | \(-0.753732\pi\) |
0.443512 | + | 0.896268i | \(0.353732\pi\) | |||||||
\(632\) | −5.43088 | + | 4.88999i | −0.216029 | + | 0.194513i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −3.06622 | + | 6.88685i | −0.121775 | + | 0.273512i | ||||
\(635\) | 0.0535461 | − | 0.509458i | 0.00212491 | − | 0.0202172i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −13.8308 | − | 7.98521i | −0.547996 | − | 0.316385i | ||||
\(638\) | −12.2675 | − | 3.56146i | −0.485673 | − | 0.141000i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.410557 | + | 0.133398i | −0.0162287 | + | 0.00527302i | ||||
\(641\) | −13.1435 | − | 29.5207i | −0.519136 | − | 1.16600i | −0.962901 | − | 0.269855i | \(-0.913024\pi\) |
0.443765 | − | 0.896143i | \(-0.353643\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −13.4757 | + | 2.86434i | −0.531428 | + | 0.112958i | −0.465807 | − | 0.884886i | \(-0.654236\pi\) |
−0.0656206 | + | 0.997845i | \(0.520903\pi\) | |||||||
\(644\) | 2.50588 | − | 0.532641i | 0.0987455 | − | 0.0209890i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −7.42230 | − | 16.6708i | −0.292027 | − | 0.655903i | ||||
\(647\) | 8.11003 | − | 2.63511i | 0.318838 | − | 0.103597i | −0.145226 | − | 0.989399i | \(-0.546391\pi\) |
0.464064 | + | 0.885802i | \(0.346391\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −7.64968 | − | 5.19656i | −0.300276 | − | 0.203983i | ||||
\(650\) | 6.85722 | + | 3.95902i | 0.268962 | + | 0.155285i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.46419 | + | 13.9308i | −0.0573421 | + | 0.545574i | ||||
\(653\) | 0.491333 | − | 1.10355i | 0.0192273 | − | 0.0431853i | −0.903677 | − | 0.428216i | \(-0.859142\pi\) |
0.922904 | + | 0.385030i | \(0.125809\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.541090 | + | 0.487200i | −0.0211421 | + | 0.0190365i | ||||
\(656\) | −10.7364 | + | 7.80045i | −0.419186 | + | 0.304556i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −0.584160 | − | 1.79786i | −0.0227729 | − | 0.0700878i | ||||
\(659\) | 4.70527 | − | 8.14977i | 0.183291 | − | 0.317470i | −0.759708 | − | 0.650264i | \(-0.774658\pi\) |
0.942999 | + | 0.332794i | \(0.107991\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −7.55133 | − | 13.0793i | −0.293713 | − | 0.508725i | 0.680972 | − | 0.732309i | \(-0.261558\pi\) |
−0.974685 | + | 0.223584i | \(0.928224\pi\) | |||||||
\(662\) | −1.94947 | + | 2.16510i | −0.0757682 | + | 0.0841491i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.34304 | + | 12.7781i | 0.0521199 | + | 0.495888i | ||||
\(665\) | −0.0583807 | − | 0.0189690i | −0.00226391 | − | 0.000735588i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 22.3653 | + | 30.7832i | 0.865988 | + | 1.19193i | ||||
\(668\) | 10.6097 | − | 4.72375i | 0.410503 | − | 0.182768i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.189970 | + | 0.109679i | −0.00733916 | + | 0.00423727i | ||||
\(671\) | −14.8331 | − | 23.9130i | −0.572625 | − | 0.923152i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −8.64889 | + | 40.6898i | −0.333390 | + | 1.56848i | 0.417892 | + | 0.908497i | \(0.362769\pi\) |
−0.751282 | + | 0.659981i | \(0.770564\pi\) | |||||||
\(674\) | −1.07711 | + | 1.48252i | −0.0414888 | + | 0.0571045i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −3.63303 | + | 11.1813i | −0.139732 | + | 0.430051i | ||||
\(677\) | −3.02484 | − | 3.35943i | −0.116254 | − | 0.129113i | 0.682208 | − | 0.731158i | \(-0.261020\pi\) |
−0.798463 | + | 0.602044i | \(0.794353\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.743421 | − | 0.0781367i | −0.0285299 | − | 0.00299861i | ||||
\(680\) | −0.309355 | − | 0.278545i | −0.0118632 | − | 0.0106817i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 4.76832 | + | 9.85890i | 0.182589 | + | 0.377517i | ||||
\(683\) | − | 34.7783i | − | 1.33075i | −0.746507 | − | 0.665377i | \(-0.768271\pi\) | ||
0.746507 | − | 0.665377i | \(-0.231729\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −0.521547 | − | 0.378926i | −0.0199273 | − | 0.0144780i | ||||
\(686\) | 2.35532 | − | 0.247554i | 0.0899266 | − | 0.00945166i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.296425 | − | 1.39457i | −0.0113011 | − | 0.0531674i | ||||
\(689\) | −18.8551 | − | 8.39484i | −0.718323 | − | 0.319818i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 17.4927 | + | 3.71819i | 0.665453 | + | 0.141446i | 0.528240 | − | 0.849095i | \(-0.322852\pi\) |
0.137213 | + | 0.990542i | \(0.456185\pi\) | |||||||
\(692\) | 25.3670 | 0.964308 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 11.4278 | 0.433794 | ||||||||
\(695\) | −0.151331 | − | 0.0321663i | −0.00574030 | − | 0.00122014i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −37.5140 | − | 16.7023i | −1.42094 | − | 0.632644i | ||||
\(698\) | −1.97122 | − | 9.27386i | −0.0746118 | − | 0.351021i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.87284 | − | 0.196844i | 0.0707868 | − | 0.00744000i | ||||
\(701\) | −14.1345 | − | 10.2693i | −0.533852 | − | 0.387866i | 0.287945 | − | 0.957647i | \(-0.407028\pi\) |
−0.821797 | + | 0.569781i | \(0.807028\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 24.9914i | 0.942568i | ||||||||
\(704\) | −4.04770 | + | 0.555261i | −0.152553 | + | 0.0209272i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 5.63923 | + | 5.07758i | 0.212235 | + | 0.191097i | ||||
\(707\) | −1.70668 | − | 0.179379i | −0.0641864 | − | 0.00674626i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 5.57954 | + | 6.19670i | 0.209544 | + | 0.232722i | 0.838750 | − | 0.544516i | \(-0.183287\pi\) |
−0.629206 | + | 0.777238i | \(0.716620\pi\) | |||||||
\(710\) | 0.0283950 | − | 0.0873909i | 0.00106565 | − | 0.00327972i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 12.1893 | − | 16.7771i | 0.456812 | − | 0.628747i | ||||
\(713\) | 6.78237 | − | 31.9086i | 0.254002 | − | 1.19498i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.233883 | + | 0.197569i | 0.00874673 | + | 0.00738867i | ||||
\(716\) | 9.31824 | − | 5.37989i | 0.348239 | − | 0.201056i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −11.9559 | + | 5.32310i | −0.446189 | + | 0.198656i | ||||
\(719\) | −13.8736 | − | 19.0953i | −0.517397 | − | 0.712136i | 0.467748 | − | 0.883862i | \(-0.345066\pi\) |
−0.985145 | + | 0.171726i | \(0.945066\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −3.08000 | − | 1.00075i | −0.114705 | − | 0.0372699i | ||||
\(722\) | −1.39866 | − | 13.3074i | −0.0520528 | − | 0.495249i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 21.5728 | − | 23.9590i | 0.801747 | − | 0.890430i | ||||
\(725\) | 13.9849 | + | 24.2225i | 0.519384 | + | 0.899600i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −0.952312 | + | 1.64945i | −0.0353193 | + | 0.0611748i | −0.883145 | − | 0.469101i | \(-0.844578\pi\) |
0.847825 | + | 0.530275i | \(0.177911\pi\) | |||||||
\(728\) | 0.426102 | + | 1.31141i | 0.0157924 | + | 0.0486039i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.264742 | + | 0.192346i | −0.00979854 | + | 0.00711905i | ||||
\(731\) | 3.27847 | − | 2.95194i | 0.121258 | − | 0.109182i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −7.16336 | + | 16.0892i | −0.264585 | + | 0.594267i | −0.996166 | − | 0.0874876i | \(-0.972116\pi\) |
0.731581 | + | 0.681755i | \(0.238783\pi\) | |||||||
\(734\) | −0.409889 | + | 3.89984i | −0.0151293 | + | 0.143946i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 34.1869 | + | 19.7378i | 1.26015 | + | 0.727545i | ||||
\(737\) | 24.7938 | − | 8.93171i | 0.913291 | − | 0.329004i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −4.54355 | + | 1.47629i | −0.167137 | + | 0.0543062i | −0.391390 | − | 0.920225i | \(-0.628006\pi\) |
0.224253 | + | 0.974531i | \(0.428006\pi\) | |||||||
\(740\) | 0.100363 | + | 0.225420i | 0.00368943 | + | 0.00828660i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1.49036 | − | 0.316785i | 0.0547127 | − | 0.0116295i | ||||
\(743\) | −1.79761 | + | 0.382093i | −0.0659478 | + | 0.0140176i | −0.240767 | − | 0.970583i | \(-0.577399\pi\) |
0.174820 | + | 0.984600i | \(0.444066\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.167541 | + | 0.376304i | 0.00613825 | + | 0.0137867i | ||||
\(746\) | 14.5056 | − | 4.71316i | 0.531088 | − | 0.172561i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 13.2704 | + | 17.1013i | 0.485215 | + | 0.625287i | ||||
\(749\) | 0.292548 | + | 0.168902i | 0.0106895 | + | 0.00617156i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.96629 | − | 37.7367i | 0.144732 | − | 1.37703i | −0.645283 | − | 0.763944i | \(-0.723260\pi\) |
0.790015 | − | 0.613088i | \(-0.210073\pi\) | |||||||
\(752\) | −6.25400 | + | 14.0467i | −0.228060 | + | 0.512231i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −6.58746 | + | 5.93138i | −0.239901 | + | 0.216008i | ||||
\(755\) | 0.284588 | − | 0.206765i | 0.0103572 | − | 0.00752497i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −9.46409 | − | 29.1275i | −0.343978 | − | 1.05866i | −0.962128 | − | 0.272596i | \(-0.912118\pi\) |
0.618150 | − | 0.786060i | \(-0.287882\pi\) | |||||||
\(758\) | −0.131240 | + | 0.227315i | −0.00476687 | + | 0.00825646i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.301779 | − | 0.522697i | −0.0109467 | − | 0.0189602i | ||||
\(761\) | −20.6529 | + | 22.9373i | −0.748666 | + | 0.831478i | −0.990308 | − | 0.138888i | \(-0.955647\pi\) |
0.241642 | + | 0.970365i | \(0.422314\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.189509 | + | 1.80305i | 0.00686067 | + | 0.0652750i | ||||
\(764\) | −19.8402 | − | 6.44648i | −0.717794 | − | 0.233225i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 5.12362 | + | 7.05205i | 0.185124 | + | 0.254801i | ||||
\(767\) | −5.86256 | + | 2.61018i | −0.211685 | + | 0.0942482i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −16.7276 | + | 9.65771i | −0.603214 | + | 0.348266i | −0.770305 | − | 0.637676i | \(-0.779896\pi\) |
0.167091 | + | 0.985942i | \(0.446563\pi\) | |||||||
\(770\) | −0.0225411 | − | 0.00165095i | −0.000812326 | − | 5.94960e-5i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 7.94423 | − | 37.3746i | 0.285919 | − | 1.34514i | ||||
\(773\) | −1.72928 | + | 2.38015i | −0.0621980 | + | 0.0856082i | −0.838983 | − | 0.544158i | \(-0.816849\pi\) |
0.776785 | + | 0.629766i | \(0.216849\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 7.40997 | − | 22.8056i | 0.266174 | − | 0.819200i | ||||
\(776\) | −4.91799 | − | 5.46198i | −0.176545 | − | 0.196074i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −16.2906 | − | 1.71221i | −0.584047 | − | 0.0613859i | ||||
\(779\) | −44.2457 | − | 39.8390i | −1.58527 | − | 1.42738i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −5.21479 | + | 9.73005i | −0.186600 | + | 0.348169i | ||||
\(782\) | 20.0138i | 0.715693i | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −7.75811 | − | 5.63660i | −0.277075 | − | 0.201307i | ||||
\(785\) | −0.519788 | + | 0.0546319i | −0.0185520 | + | 0.00194990i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 1.67279 | + | 7.86987i | 0.0596286 | + | 0.280531i | 0.997853 | − | 0.0654976i | \(-0.0208635\pi\) |
−0.938224 | + | 0.346028i | \(0.887530\pi\) | |||||||
\(788\) | −29.3420 | − | 13.0639i | −1.04527 | − | 0.465382i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −0.0813068 | − | 0.0172823i | −0.00289277 | − | 0.000614876i | ||||
\(791\) | 0.130470 | 0.00463897 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −19.5272 | −0.693433 | ||||||||
\(794\) | 3.36960 | + | 0.716230i | 0.119582 | + | 0.0254180i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 14.4602 | + | 6.43811i | 0.512530 | + | 0.228193i | ||||
\(797\) | 11.4189 | + | 53.7217i | 0.404478 | + | 1.90292i | 0.429166 | + | 0.903226i | \(0.358808\pi\) |
−0.0246872 | + | 0.999695i | \(0.507859\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −47.3174 | + | 4.97326i | −1.67397 | + | 0.175941i | ||||
\(800\) | 23.4757 | + | 17.0561i | 0.829991 | + | 0.603024i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 2.92121i | 0.103152i | ||||||||
\(803\) | 35.3921 | − | 17.1176i | 1.24896 | − | 0.604068i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.0500312 | + | 0.0450483i | 0.00176337 | + | 0.00158774i | ||||
\(806\) | 7.55798 | + | 0.794376i | 0.266218 | + | 0.0279807i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −11.2903 | − | 12.5391i | −0.397191 | − | 0.441125i | ||||
\(809\) | 7.52538 | − | 23.1607i | 0.264578 | − | 0.814288i | −0.727212 | − | 0.686413i | \(-0.759184\pi\) |
0.991790 | − | 0.127875i | \(-0.0408156\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −12.2026 | + | 16.7955i | −0.428493 | + | 0.589770i | −0.967607 | − | 0.252463i | \(-0.918759\pi\) |
0.539114 | + | 0.842233i | \(0.318759\pi\) | |||||||
\(812\) | −0.438322 | + | 2.06214i | −0.0153821 | + | 0.0723671i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 2.19662 | + | 8.93559i | 0.0769915 | + | 0.313192i | ||||
\(815\) | −0.318790 | + | 0.184054i | −0.0111667 | + | 0.00644712i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 5.84336 | − | 2.60163i | 0.204433 | − | 0.0910195i | ||||
\(818\) | 4.77615 | + | 6.57380i | 0.166994 | + | 0.229848i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.559083 | − | 0.181657i | −0.0195240 | − | 0.00634374i | ||||
\(821\) | −2.99341 | − | 28.4804i | −0.104471 | − | 0.993974i | −0.913675 | − | 0.406446i | \(-0.866768\pi\) |
0.809204 | − | 0.587528i | \(-0.199899\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 1.66469 | − | 1.84883i | 0.0580275 | − | 0.0644460i | −0.713432 | − | 0.700724i | \(-0.752860\pi\) |
0.771460 | + | 0.636278i | \(0.219527\pi\) | |||||||
\(824\) | −15.9210 | − | 27.5760i | −0.554634 | − | 0.960654i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.236872 | − | 0.410275i | 0.00824184 | − | 0.0142753i | ||||
\(827\) | −7.36490 | − | 22.6668i | −0.256103 | − | 0.788202i | −0.993610 | − | 0.112864i | \(-0.963998\pi\) |
0.737508 | − | 0.675338i | \(-0.236002\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 32.8736 | − | 23.8841i | 1.14175 | − | 0.829528i | 0.154386 | − | 0.988011i | \(-0.450660\pi\) |
0.987362 | + | 0.158482i | \(0.0506601\pi\) | |||||||
\(830\) | −0.108606 | + | 0.0977888i | −0.00376975 | + | 0.00339430i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −1.15316 | + | 2.59003i | −0.0399785 | + | 0.0897932i | ||||
\(833\) | 3.10166 | − | 29.5104i | 0.107466 | − | 1.02247i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.264312 | + | 0.152600i | 0.00914688 | + | 0.00528096i | ||||
\(836\) | 10.6369 | + | 29.5272i | 0.367884 | + | 1.02122i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 13.7333 | − | 4.46221i | 0.474408 | − | 0.154145i | ||||
\(839\) | −23.2748 | − | 52.2760i | −0.803534 | − | 1.80477i | −0.544136 | − | 0.838997i | \(-0.683143\pi\) |
−0.259398 | − | 0.965771i | \(-0.583524\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −2.26179 | + | 0.480758i | −0.0779928 | + | 0.0165779i | ||||
\(842\) | −1.87149 | + | 0.397797i | −0.0644957 | + | 0.0137090i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −11.6357 | − | 26.1343i | −0.400519 | − | 0.899579i | ||||
\(845\) | −0.293836 | + | 0.0954731i | −0.0101083 | + | 0.00328438i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 2.63028 | + | 0.674260i | 0.0903776 | + | 0.0231679i | ||||
\(848\) | −10.7328 | − | 6.19657i | −0.368565 | − | 0.212791i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −1.53779 | + | 14.6311i | −0.0527456 | + | 0.501841i | ||||
\(851\) | 11.1483 | − | 25.0395i | 0.382158 | − | 0.858341i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 22.6965 | − | 20.4360i | 0.777114 | − | 0.699716i | −0.181824 | − | 0.983331i | \(-0.558200\pi\) |
0.958938 | + | 0.283615i | \(0.0915336\pi\) | |||||||
\(854\) | 1.16623 | − | 0.847318i | 0.0399077 | − | 0.0289946i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 1.02637 | + | 3.15885i | 0.0350807 | + | 0.107967i | ||||
\(857\) | 3.07390 | − | 5.32416i | 0.105003 | − | 0.181870i | −0.808737 | − | 0.588171i | \(-0.799848\pi\) |
0.913739 | + | 0.406301i | \(0.133182\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 13.7994 | + | 23.9013i | 0.470830 | + | 0.815501i | 0.999443 | − | 0.0333614i | \(-0.0106212\pi\) |
−0.528614 | + | 0.848863i | \(0.677288\pi\) | |||||||
\(860\) | 0.0422586 | − | 0.0469329i | 0.00144101 | − | 0.00160040i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −2.00940 | − | 19.1181i | −0.0684403 | − | 0.651166i | ||||
\(863\) | 40.7061 | + | 13.2262i | 1.38565 | + | 0.450226i | 0.904523 | − | 0.426424i | \(-0.140227\pi\) |
0.481129 | + | 0.876650i | \(0.340227\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.391832 | + | 0.539310i | 0.0133227 | + | 0.0183371i | ||||
\(866\) | 5.76476 | − | 2.56664i | 0.195895 | − | 0.0872179i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 1.56528 | − | 0.903714i | 0.0531290 | − | 0.0306741i | ||||
\(869\) | 9.24681 | + | 3.77147i | 0.313677 | + | 0.127938i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 3.80221 | − | 17.8880i | 0.128833 | − | 0.606111i | ||||
\(872\) | −10.4778 | + | 14.4214i | −0.354822 | + | 0.488371i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −8.96700 | + | 27.5976i | −0.303313 | + | 0.933503i | ||||
\(875\) | 0.0662384 | + | 0.0735652i | 0.00223927 | + | 0.00248696i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −11.1690 | − | 1.17391i | −0.377149 | − | 0.0396400i | −0.0859424 | − | 0.996300i | \(-0.527390\pi\) |
−0.291207 | + | 0.956660i | \(0.594057\pi\) | |||||||
\(878\) | 1.49926 | + | 1.34994i | 0.0505977 | + | 0.0455584i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.127267 | + | 0.132662i | 0.00429017 | + | 0.00447202i | ||||
\(881\) | − | 47.3136i | − | 1.59403i | −0.603957 | − | 0.797017i | \(-0.706410\pi\) | ||
0.603957 | − | 0.797017i | \(-0.293590\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −14.7740 | − | 10.7340i | −0.497186 | − | 0.361227i | 0.310755 | − | 0.950490i | \(-0.399418\pi\) |
−0.807941 | + | 0.589263i | \(0.799418\pi\) | |||||||
\(884\) | 14.9388 | − | 1.57013i | 0.502446 | − | 0.0528092i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 5.12904 | + | 24.1302i | 0.172313 | + | 0.810671i | ||||
\(887\) | 37.1908 | + | 16.5584i | 1.24874 | + | 0.555976i | 0.921285 | − | 0.388889i | \(-0.127141\pi\) |
0.327459 | + | 0.944865i | \(0.393808\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −3.08382 | − | 0.655486i | −0.103428 | − | 0.0219843i | ||||
\(890\) | 0.235876 | 0.00790658 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −14.7573 | −0.494110 | ||||||||
\(893\) | −67.4755 | − | 14.3424i | −2.25798 | − | 0.479948i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.258313 | + | 0.115008i | 0.00863444 | + | 0.00384430i | ||||
\(896\) | 0.552379 | + | 2.59874i | 0.0184537 | + | 0.0868177i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −9.72986 | + | 1.02265i | −0.324690 | + | 0.0341263i | ||||
\(899\) | 21.7180 | + | 15.7790i | 0.724335 | + | 0.526260i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 38.3480i | − | 1.27756i | ||||||
\(902\) | −19.3216 | − | 10.3553i | −0.643338 | − | 0.344795i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0.953321 | + | 0.858374i | 0.0317070 | + | 0.0285491i | ||||
\(905\) | 0.842600 | + | 0.0885609i | 0.0280090 | + | 0.00294386i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 0.790718 | + | 0.878181i | 0.0262554 | + | 0.0291595i | 0.756129 | − | 0.654422i | \(-0.227088\pi\) |
−0.729874 | + | 0.683582i | \(0.760421\pi\) | |||||||
\(908\) | −5.52581 | + | 17.0067i | −0.183380 | + | 0.564387i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.00921881 | + | 0.0126886i | −0.000305601 | + | 0.000420623i | ||||
\(911\) | −4.40026 | + | 20.7016i | −0.145787 | + | 0.685875i | 0.843167 | + | 0.537652i | \(0.180689\pi\) |
−0.988954 | + | 0.148223i | \(0.952645\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 14.9202 | − | 9.25492i | 0.493788 | − | 0.306293i | ||||
\(914\) | −12.1596 | + | 7.02032i | −0.402202 | + | 0.232212i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −28.5556 | + | 12.7138i | −0.943503 | + | 0.420075i | ||||
\(917\) | 2.63394 | + | 3.62530i | 0.0869803 | + | 0.119718i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −13.4009 | − | 4.35422i | −0.442055 | − | 0.143633i | 0.0795283 | − | 0.996833i | \(-0.474659\pi\) |
−0.521584 | + | 0.853200i | \(0.674659\pi\) | |||||||
\(920\) | 0.0691924 | + | 0.658321i | 0.00228120 | + | 0.0217042i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0.354792 | − | 0.394036i | 0.0116844 | − | 0.0129769i | ||||
\(923\) | 3.83031 | + | 6.63429i | 0.126076 | + | 0.218370i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 10.0739 | − | 17.4485i | 0.331227 | − | 0.573702i | ||||
\(926\) | −8.03871 | − | 24.7406i | −0.264168 | − | 0.813027i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −26.2812 | + | 19.0944i | −0.862723 | + | 0.626805i | ||||
\(929\) | 25.3306 | − | 22.8078i | 0.831070 | − | 0.748299i | −0.139215 | − | 0.990262i | \(-0.544458\pi\) |
0.970285 | + | 0.241963i | \(0.0777913\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 17.4988 | − | 39.3030i | 0.573500 | − | 1.28810i | ||||
\(932\) | 2.57539 | − | 24.5032i | 0.0843596 | − | 0.802628i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 10.4925 | + | 6.05786i | 0.343326 | + | 0.198219i | ||||
\(935\) | −0.158598 | + | 0.546290i | −0.00518669 | + | 0.0178656i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 6.41974 | − | 2.08590i | 0.209724 | − | 0.0681434i | −0.202271 | − | 0.979330i | \(-0.564832\pi\) |
0.411995 | + | 0.911186i | \(0.364832\pi\) | |||||||
\(938\) | 0.549107 | + | 1.23332i | 0.0179290 | + | 0.0402692i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.666220 | + | 0.141610i | −0.0217297 | + | 0.00461879i | ||||
\(941\) | −32.5702 | + | 6.92302i | −1.06176 | + | 0.225684i | −0.705505 | − | 0.708705i | \(-0.749280\pi\) |
−0.356255 | + | 0.934389i | \(0.615946\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 26.5592 | + | 59.6530i | 0.864888 | + | 1.94257i | ||||
\(944\) | −3.66476 | + | 1.19075i | −0.119278 | + | 0.0387557i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1.86060 | − | 1.44381i | 0.0604934 | − | 0.0469422i | ||||
\(947\) | 0.650586 | + | 0.375616i | 0.0211412 | + | 0.0122059i | 0.510533 | − | 0.859858i | \(-0.329448\pi\) |
−0.489392 | + | 0.872064i | \(0.662781\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 2.85170 | − | 27.1321i | 0.0925700 | − | 0.880745i | ||||
\(950\) | −8.67581 | + | 19.4862i | −0.281480 | + | 0.632215i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −1.90392 | + | 1.71430i | −0.0617063 | + | 0.0555606i | ||||
\(953\) | −3.76491 | + | 2.73537i | −0.121957 | + | 0.0886073i | −0.647092 | − | 0.762412i | \(-0.724015\pi\) |
0.525134 | + | 0.851019i | \(0.324015\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.169408 | − | 0.521385i | −0.00548192 | − | 0.0168716i | ||||
\(956\) | −21.6633 | + | 37.5220i | −0.700641 | + | 1.21355i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0.827966 | + | 1.43408i | 0.0267504 | + | 0.0463330i | ||||
\(959\) | −2.65483 | + | 2.94849i | −0.0857290 | + | 0.0952117i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 0.834675 | + | 7.94141i | 0.0269250 | + | 0.256174i | ||||
\(962\) | 6.07281 | + | 1.97318i | 0.195795 | + | 0.0636177i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −12.8874 | − | 17.7379i | −0.415074 | − | 0.571300i | ||||
\(965\) | 0.917307 | − | 0.408411i | 0.0295292 | − | 0.0131472i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 18.8385 | − | 10.8764i | 0.605807 | − | 0.349763i | −0.165516 | − | 0.986207i | \(-0.552929\pi\) |
0.771323 | + | 0.636444i | \(0.219596\pi\) | |||||||
\(968\) | 14.7830 | + | 22.2316i | 0.475144 | + | 0.714551i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0.0173812 | − | 0.0817723i | 0.000558078 | − | 0.00262555i | ||||
\(971\) | 3.45215 | − | 4.75147i | 0.110785 | − | 0.152482i | −0.750024 | − | 0.661410i | \(-0.769958\pi\) |
0.860809 | + | 0.508928i | \(0.169958\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.294236 | + | 0.905565i | −0.00943277 | + | 0.0290311i | ||||
\(974\) | −6.72313 | − | 7.46679i | −0.215423 | − | 0.239251i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −11.6611 | − | 1.22563i | −0.373261 | − | 0.0392313i | ||||
\(977\) | 0.683688 | + | 0.615595i | 0.0218731 | + | 0.0196946i | 0.679995 | − | 0.733217i | \(-0.261982\pi\) |
−0.658122 | + | 0.752912i | \(0.728649\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −27.8911 | − | 5.01284i | −0.891403 | − | 0.160211i | ||||
\(980\) | − | 0.424783i | − | 0.0135692i | ||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 13.9446 | + | 10.1313i | 0.444989 | + | 0.323304i | ||||
\(983\) | 46.3804 | − | 4.87478i | 1.47931 | − | 0.155481i | 0.669778 | − | 0.742562i | \(-0.266389\pi\) |
0.809529 | + | 0.587080i | \(0.199723\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.175489 | − | 0.825612i | −0.00559155 | − | 0.0263062i | ||||
\(986\) | −15.0459 | − | 6.69888i | −0.479160 | − | 0.213336i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 21.3030 | + | 4.52809i | 0.677739 | + | 0.144058i | ||||
\(989\) | −7.01515 | −0.223069 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 6.21090 | 0.197296 | 0.0986478 | − | 0.995122i | \(-0.468548\pi\) | ||||
0.0986478 | + | 0.995122i | \(0.468548\pi\) | |||||||
\(992\) | 27.2420 | + | 5.79046i | 0.864934 | + | 0.183847i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.516631 | − | 0.230019i | −0.0163865 | − | 0.00729576i | ||||
\(995\) | 0.0864841 | + | 0.406876i | 0.00274173 | + | 0.0128988i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 28.4103 | − | 2.98604i | 0.899763 | − | 0.0945689i | 0.356659 | − | 0.934235i | \(-0.383916\pi\) |
0.543104 | + | 0.839666i | \(0.317249\pi\) | |||||||
\(998\) | 12.6467 | + | 9.18836i | 0.400324 | + | 0.290852i | ||||
\(999\) | 0 | 0 |
(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 | 891.2.u.c.512.3 | 32 | ||
3.2 | odd | 2 | inner | 891.2.u.c.512.2 | 32 | ||
9.2 | odd | 6 | 99.2.j.a.17.3 | yes | 16 | ||
9.4 | even | 3 | inner | 891.2.u.c.215.2 | 32 | ||
9.5 | odd | 6 | inner | 891.2.u.c.215.3 | 32 | ||
9.7 | even | 3 | 99.2.j.a.17.2 | ✓ | 16 | ||
11.2 | odd | 10 | inner | 891.2.u.c.431.3 | 32 | ||
33.2 | even | 10 | inner | 891.2.u.c.431.2 | 32 | ||
36.7 | odd | 6 | 1584.2.cd.c.17.3 | 16 | |||
36.11 | even | 6 | 1584.2.cd.c.17.2 | 16 | |||
99.2 | even | 30 | 99.2.j.a.35.2 | yes | 16 | ||
99.13 | odd | 30 | inner | 891.2.u.c.134.2 | 32 | ||
99.25 | even | 15 | 1089.2.d.g.1088.6 | 16 | |||
99.47 | odd | 30 | 1089.2.d.g.1088.11 | 16 | |||
99.52 | odd | 30 | 1089.2.d.g.1088.12 | 16 | |||
99.68 | even | 30 | inner | 891.2.u.c.134.3 | 32 | ||
99.74 | even | 30 | 1089.2.d.g.1088.5 | 16 | |||
99.79 | odd | 30 | 99.2.j.a.35.3 | yes | 16 | ||
396.79 | even | 30 | 1584.2.cd.c.1025.2 | 16 | |||
396.299 | odd | 30 | 1584.2.cd.c.1025.3 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.j.a.17.2 | ✓ | 16 | 9.7 | even | 3 | ||
99.2.j.a.17.3 | yes | 16 | 9.2 | odd | 6 | ||
99.2.j.a.35.2 | yes | 16 | 99.2 | even | 30 | ||
99.2.j.a.35.3 | yes | 16 | 99.79 | odd | 30 | ||
891.2.u.c.134.2 | 32 | 99.13 | odd | 30 | inner | ||
891.2.u.c.134.3 | 32 | 99.68 | even | 30 | inner | ||
891.2.u.c.215.2 | 32 | 9.4 | even | 3 | inner | ||
891.2.u.c.215.3 | 32 | 9.5 | odd | 6 | inner | ||
891.2.u.c.431.2 | 32 | 33.2 | even | 10 | inner | ||
891.2.u.c.431.3 | 32 | 11.2 | odd | 10 | inner | ||
891.2.u.c.512.2 | 32 | 3.2 | odd | 2 | inner | ||
891.2.u.c.512.3 | 32 | 1.1 | even | 1 | trivial | ||
1089.2.d.g.1088.5 | 16 | 99.74 | even | 30 | |||
1089.2.d.g.1088.6 | 16 | 99.25 | even | 15 | |||
1089.2.d.g.1088.11 | 16 | 99.47 | odd | 30 | |||
1089.2.d.g.1088.12 | 16 | 99.52 | odd | 30 | |||
1584.2.cd.c.17.2 | 16 | 36.11 | even | 6 | |||
1584.2.cd.c.17.3 | 16 | 36.7 | odd | 6 | |||
1584.2.cd.c.1025.2 | 16 | 396.79 | even | 30 | |||
1584.2.cd.c.1025.3 | 16 | 396.299 | odd | 30 |