Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [841,2,Mod(63,841)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(841, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("841.63");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 841 = 29^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 841.e (of order \(14\), degree \(6\), 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: | \(6.71541880999\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{14})\) |
Twist minimal: | no (minimal twist has level 29) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 267.4 | ||
Character | \(\chi\) | \(=\) | 841.267 |
Dual form | 841.2.e.k.63.4 |
$q$-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 \(\left(\mathbb{Z}/841\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{3}{14}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.88751 | + | 1.50524i | 1.33467 | + | 1.06436i | 0.992176 | + | 0.124843i | \(0.0398429\pi\) |
0.342493 | + | 0.939520i | \(0.388729\pi\) | |||||||
\(3\) | 2.35368 | + | 0.537213i | 1.35890 | + | 0.310160i | 0.839030 | − | 0.544085i | \(-0.183123\pi\) |
0.519870 | + | 0.854245i | \(0.325980\pi\) | |||||||
\(4\) | 0.851905 | + | 3.73244i | 0.425953 | + | 1.86622i | ||||
\(5\) | 0.623490 | − | 0.781831i | 0.278833 | − | 0.349646i | −0.622619 | − | 0.782526i | \(-0.713931\pi\) |
0.901452 | + | 0.432880i | \(0.142503\pi\) | |||||||
\(6\) | 3.63396 | + | 4.55685i | 1.48356 | + | 1.86033i | ||||
\(7\) | 0.629384 | − | 2.75751i | 0.237885 | − | 1.04224i | −0.705022 | − | 0.709185i | \(-0.749063\pi\) |
0.942907 | − | 0.333056i | \(-0.108080\pi\) | |||||||
\(8\) | −1.91526 | + | 3.97707i | −0.677145 | + | 1.40611i | ||||
\(9\) | 2.54832 | + | 1.22721i | 0.849442 | + | 0.409070i | ||||
\(10\) | 2.35368 | − | 0.537213i | 0.744300 | − | 0.169882i | ||||
\(11\) | −0.179721 | − | 0.373194i | −0.0541878 | − | 0.112522i | 0.872117 | − | 0.489298i | \(-0.162747\pi\) |
−0.926304 | + | 0.376776i | \(0.877033\pi\) | |||||||
\(12\) | 9.24264i | 2.66812i | ||||||||
\(13\) | −3.44929 | + | 1.66109i | −0.956662 | + | 0.460704i | −0.846017 | − | 0.533156i | \(-0.821006\pi\) |
−0.110645 | + | 0.993860i | \(0.535292\pi\) | |||||||
\(14\) | 5.33868 | − | 4.25745i | 1.42682 | − | 1.13785i | ||||
\(15\) | 1.88751 | − | 1.50524i | 0.487353 | − | 0.388651i | ||||
\(16\) | −2.70291 | + | 1.30165i | −0.675727 | + | 0.325413i | ||||
\(17\) | − | 0.828427i | − | 0.200923i | −0.994941 | − | 0.100462i | \(-0.967968\pi\) | ||
0.994941 | − | 0.100462i | \(-0.0320319\pi\) | |||||||
\(18\) | 2.96274 | + | 6.15220i | 0.698325 | + | 1.45009i | ||||
\(19\) | −5.84957 | + | 1.33513i | −1.34198 | + | 0.306299i | −0.832425 | − | 0.554138i | \(-0.813048\pi\) |
−0.509558 | + | 0.860436i | \(0.670191\pi\) | |||||||
\(20\) | 3.44929 | + | 1.66109i | 0.771286 | + | 0.371432i | ||||
\(21\) | 2.96274 | − | 6.15220i | 0.646524 | − | 1.34252i | ||||
\(22\) | 0.222521 | − | 0.974928i | 0.0474416 | − | 0.207855i | ||||
\(23\) | 2.28001 | + | 2.85904i | 0.475415 | + | 0.596152i | 0.960488 | − | 0.278322i | \(-0.0897783\pi\) |
−0.485073 | + | 0.874474i | \(0.661207\pi\) | |||||||
\(24\) | −6.64444 | + | 8.33186i | −1.35629 | + | 1.70073i | ||||
\(25\) | 0.890084 | + | 3.89971i | 0.178017 | + | 0.779942i | ||||
\(26\) | −9.01091 | − | 2.05668i | −1.76718 | − | 0.403348i | ||||
\(27\) | −0.323845 | − | 0.258258i | −0.0623240 | − | 0.0497018i | ||||
\(28\) | 10.8284 | 2.04638 | ||||||||
\(29\) | 0 | 0 | ||||||||
\(30\) | 5.82843 | 1.06412 | ||||||||
\(31\) | −7.87388 | − | 6.27921i | −1.41419 | − | 1.12778i | −0.973118 | − | 0.230307i | \(-0.926027\pi\) |
−0.441072 | − | 0.897472i | \(-0.645402\pi\) | |||||||
\(32\) | 1.54603 | + | 0.352871i | 0.273302 | + | 0.0623793i | ||||
\(33\) | −0.222521 | − | 0.974928i | −0.0387359 | − | 0.169713i | ||||
\(34\) | 1.24698 | − | 1.56366i | 0.213855 | − | 0.268166i | ||||
\(35\) | −1.76350 | − | 2.21135i | −0.298085 | − | 0.373787i | ||||
\(36\) | −2.40955 | + | 10.5569i | −0.401592 | + | 1.75949i | ||||
\(37\) | −1.73553 | + | 3.60388i | −0.285320 | + | 0.592473i | −0.993535 | − | 0.113523i | \(-0.963786\pi\) |
0.708215 | + | 0.705997i | \(0.249501\pi\) | |||||||
\(38\) | −13.0508 | − | 6.28493i | −2.11712 | − | 1.01955i | ||||
\(39\) | −9.01091 | + | 2.05668i | −1.44290 | + | 0.329333i | ||||
\(40\) | 1.91526 | + | 3.97707i | 0.302828 | + | 0.628830i | ||||
\(41\) | − | 4.48528i | − | 0.700483i | −0.936659 | − | 0.350242i | \(-0.886099\pi\) | ||
0.936659 | − | 0.350242i | \(-0.113901\pi\) | |||||||
\(42\) | 14.8527 | − | 7.15270i | 2.29183 | − | 1.10368i | ||||
\(43\) | 2.80348 | − | 2.23570i | 0.427527 | − | 0.340941i | −0.385969 | − | 0.922512i | \(-0.626133\pi\) |
0.813496 | + | 0.581570i | \(0.197562\pi\) | |||||||
\(44\) | 1.23982 | − | 0.988722i | 0.186910 | − | 0.149055i | ||||
\(45\) | 2.54832 | − | 1.22721i | 0.379882 | − | 0.182941i | ||||
\(46\) | 8.82843i | 1.30168i | ||||||||
\(47\) | 1.40693 | + | 2.92152i | 0.205222 | + | 0.426147i | 0.978022 | − | 0.208502i | \(-0.0668588\pi\) |
−0.772800 | + | 0.634649i | \(0.781145\pi\) | |||||||
\(48\) | −7.06105 | + | 1.61164i | −1.01918 | + | 0.232620i | ||||
\(49\) | −0.900969 | − | 0.433884i | −0.128710 | − | 0.0619834i | ||||
\(50\) | −4.18995 | + | 8.70053i | −0.592549 | + | 1.23044i | ||||
\(51\) | 0.445042 | − | 1.94986i | 0.0623183 | − | 0.273034i | ||||
\(52\) | −9.13840 | − | 11.4592i | −1.26727 | − | 1.58910i | ||||
\(53\) | 5.91398 | − | 7.41589i | 0.812347 | − | 1.01865i | −0.186994 | − | 0.982361i | \(-0.559875\pi\) |
0.999341 | − | 0.0362900i | \(-0.0115540\pi\) | |||||||
\(54\) | −0.222521 | − | 0.974928i | −0.0302813 | − | 0.132671i | ||||
\(55\) | −0.403828 | − | 0.0921712i | −0.0544522 | − | 0.0124284i | ||||
\(56\) | 9.76139 | + | 7.78445i | 1.30442 | + | 1.04024i | ||||
\(57\) | −14.4853 | −1.91862 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −3.65685 | −0.476082 | −0.238041 | − | 0.971255i | \(-0.576505\pi\) | ||||
−0.238041 | + | 0.971255i | \(0.576505\pi\) | |||||||
\(60\) | 7.22619 | + | 5.76269i | 0.932897 | + | 0.743960i | ||||
\(61\) | −4.70737 | − | 1.07443i | −0.602717 | − | 0.137566i | −0.0897350 | − | 0.995966i | \(-0.528602\pi\) |
−0.512982 | + | 0.858400i | \(0.671459\pi\) | |||||||
\(62\) | −5.41031 | − | 23.7041i | −0.687110 | − | 3.01043i | ||||
\(63\) | 4.98792 | − | 6.25465i | 0.628419 | − | 0.788012i | ||||
\(64\) | 6.12792 | + | 7.68417i | 0.765991 | + | 0.960522i | ||||
\(65\) | −0.851905 | + | 3.73244i | −0.105666 | + | 0.462952i | ||||
\(66\) | 1.04749 | − | 2.17513i | 0.128937 | − | 0.267740i | ||||
\(67\) | 5.09665 | + | 2.45442i | 0.622655 | + | 0.299855i | 0.718484 | − | 0.695543i | \(-0.244836\pi\) |
−0.0958296 | + | 0.995398i | \(0.530550\pi\) | |||||||
\(68\) | 3.09205 | − | 0.705741i | 0.374967 | − | 0.0855837i | ||||
\(69\) | 3.83051 | + | 7.95414i | 0.461139 | + | 0.957566i | ||||
\(70\) | − | 6.82843i | − | 0.816153i | ||||||
\(71\) | −7.95414 | + | 3.83051i | −0.943983 | + | 0.454598i | −0.841572 | − | 0.540144i | \(-0.818370\pi\) |
−0.102410 | + | 0.994742i | \(0.532655\pi\) | |||||||
\(72\) | −9.76139 | + | 7.78445i | −1.15039 | + | 0.917406i | ||||
\(73\) | −3.12733 | + | 2.49396i | −0.366026 | + | 0.291896i | −0.789180 | − | 0.614162i | \(-0.789494\pi\) |
0.423154 | + | 0.906058i | \(0.360923\pi\) | |||||||
\(74\) | −8.70053 | + | 4.18995i | −1.01142 | + | 0.487072i | ||||
\(75\) | 9.65685i | 1.11508i | ||||||||
\(76\) | −9.96655 | − | 20.6958i | −1.14324 | − | 2.37397i | ||||
\(77\) | −1.14220 | + | 0.260699i | −0.130166 | + | 0.0297095i | ||||
\(78\) | −20.1040 | − | 9.68156i | −2.27632 | − | 1.09622i | ||||
\(79\) | 1.04749 | − | 2.17513i | 0.117852 | − | 0.244721i | −0.833695 | − | 0.552224i | \(-0.813779\pi\) |
0.951547 | + | 0.307503i | \(0.0994934\pi\) | |||||||
\(80\) | −0.667563 | + | 2.92478i | −0.0746358 | + | 0.327001i | ||||
\(81\) | −5.91398 | − | 7.41589i | −0.657108 | − | 0.823988i | ||||
\(82\) | 6.75141 | − | 8.46601i | 0.745569 | − | 0.934914i | ||||
\(83\) | −1.70381 | − | 7.46488i | −0.187017 | − | 0.819377i | −0.978178 | − | 0.207769i | \(-0.933380\pi\) |
0.791161 | − | 0.611609i | \(-0.209477\pi\) | |||||||
\(84\) | 25.4867 | + | 5.81717i | 2.78083 | + | 0.634706i | ||||
\(85\) | −0.647690 | − | 0.516516i | −0.0702519 | − | 0.0560240i | ||||
\(86\) | 8.65685 | 0.933493 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.82843 | 0.194911 | ||||||||
\(89\) | 9.76139 | + | 7.78445i | 1.03470 | + | 0.825150i | 0.984815 | − | 0.173605i | \(-0.0555417\pi\) |
0.0498895 | + | 0.998755i | \(0.484113\pi\) | |||||||
\(90\) | 6.65722 | + | 1.51947i | 0.701733 | + | 0.160166i | ||||
\(91\) | 2.40955 | + | 10.5569i | 0.252590 | + | 1.10667i | ||||
\(92\) | −8.72886 | + | 10.9456i | −0.910046 | + | 1.14116i | ||||
\(93\) | −15.1593 | − | 19.0092i | −1.57195 | − | 1.97116i | ||||
\(94\) | −1.74199 | + | 7.63215i | −0.179672 | + | 0.787196i | ||||
\(95\) | −2.60330 | + | 5.40581i | −0.267093 | + | 0.554625i | ||||
\(96\) | 3.44929 | + | 1.66109i | 0.352042 | + | 0.169535i | ||||
\(97\) | 4.37283 | − | 0.998069i | 0.443993 | − | 0.101339i | 0.00532129 | − | 0.999986i | \(-0.498306\pi\) |
0.438672 | + | 0.898647i | \(0.355449\pi\) | |||||||
\(98\) | −1.04749 | − | 2.17513i | −0.105812 | − | 0.219721i | ||||
\(99\) | − | 1.17157i | − | 0.117748i | ||||||
\(100\) | −13.7972 | + | 6.64437i | −1.37972 | + | 0.664437i | ||||
\(101\) | −1.83195 | + | 1.46093i | −0.182285 | + | 0.145368i | −0.710381 | − | 0.703817i | \(-0.751478\pi\) |
0.528096 | + | 0.849185i | \(0.322906\pi\) | |||||||
\(102\) | 3.77502 | − | 3.01048i | 0.373782 | − | 0.298081i | ||||
\(103\) | 4.35026 | − | 2.09498i | 0.428644 | − | 0.206424i | −0.207107 | − | 0.978318i | \(-0.566405\pi\) |
0.635751 | + | 0.771894i | \(0.280691\pi\) | |||||||
\(104\) | − | 16.8995i | − | 1.65713i | ||||||
\(105\) | −2.96274 | − | 6.15220i | −0.289134 | − | 0.600393i | ||||
\(106\) | 22.3254 | − | 5.09562i | 2.16843 | − | 0.494930i | ||||
\(107\) | 13.3600 | + | 6.43381i | 1.29156 | + | 0.621980i | 0.948334 | − | 0.317274i | \(-0.102768\pi\) |
0.343221 | + | 0.939255i | \(0.388482\pi\) | |||||||
\(108\) | 0.688047 | − | 1.42874i | 0.0662073 | − | 0.137481i | ||||
\(109\) | 2.81642 | − | 12.3395i | 0.269764 | − | 1.18191i | −0.640525 | − | 0.767937i | \(-0.721283\pi\) |
0.910289 | − | 0.413974i | \(-0.135860\pi\) | |||||||
\(110\) | −0.623490 | − | 0.781831i | −0.0594474 | − | 0.0745447i | ||||
\(111\) | −6.02095 | + | 7.55003i | −0.571483 | + | 0.716617i | ||||
\(112\) | 1.88815 | + | 8.27254i | 0.178414 | + | 0.781681i | ||||
\(113\) | 12.9799 | + | 2.96258i | 1.22105 | + | 0.278696i | 0.784010 | − | 0.620748i | \(-0.213171\pi\) |
0.437037 | + | 0.899444i | \(0.356028\pi\) | |||||||
\(114\) | −27.3411 | − | 21.8038i | −2.56073 | − | 2.04211i | ||||
\(115\) | 3.65685 | 0.341003 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −10.8284 | −1.00109 | ||||||||
\(118\) | −6.90234 | − | 5.50443i | −0.635412 | − | 0.506724i | ||||
\(119\) | −2.28440 | − | 0.521399i | −0.209410 | − | 0.0477966i | ||||
\(120\) | 2.37137 | + | 10.3897i | 0.216476 | + | 0.948442i | ||||
\(121\) | 6.75141 | − | 8.46601i | 0.613765 | − | 0.769637i | ||||
\(122\) | −7.26793 | − | 9.11370i | −0.658007 | − | 0.825115i | ||||
\(123\) | 2.40955 | − | 10.5569i | 0.217262 | − | 0.951887i | ||||
\(124\) | 16.7290 | − | 34.7381i | 1.50231 | − | 3.11957i | ||||
\(125\) | 8.10872 | + | 3.90495i | 0.725266 | + | 0.349270i | ||||
\(126\) | 18.8295 | − | 4.29770i | 1.67746 | − | 0.382870i | ||||
\(127\) | −1.88442 | − | 3.91304i | −0.167215 | − | 0.347226i | 0.800476 | − | 0.599365i | \(-0.204580\pi\) |
−0.967691 | + | 0.252139i | \(0.918866\pi\) | |||||||
\(128\) | 20.5563i | 1.81694i | ||||||||
\(129\) | 7.79956 | − | 3.75607i | 0.686713 | − | 0.330703i | ||||
\(130\) | −7.22619 | + | 5.76269i | −0.633779 | + | 0.505422i | ||||
\(131\) | −16.6637 | + | 13.2889i | −1.45592 | + | 1.16105i | −0.500522 | + | 0.865724i | \(0.666858\pi\) |
−0.955395 | + | 0.295331i | \(0.904570\pi\) | |||||||
\(132\) | 3.44929 | − | 1.66109i | 0.300222 | − | 0.144580i | ||||
\(133\) | 16.9706i | 1.47153i | ||||||||
\(134\) | 5.92549 | + | 12.3044i | 0.511884 | + | 1.06294i | ||||
\(135\) | −0.403828 | + | 0.0921712i | −0.0347560 | + | 0.00793283i | ||||
\(136\) | 3.29471 | + | 1.58665i | 0.282519 | + | 0.136054i | ||||
\(137\) | −5.20660 | + | 10.8116i | −0.444830 | + | 0.923700i | 0.551174 | + | 0.834391i | \(0.314180\pi\) |
−0.996004 | + | 0.0893090i | \(0.971534\pi\) | |||||||
\(138\) | −4.74275 | + | 20.7793i | −0.403729 | + | 1.76885i | ||||
\(139\) | 8.72886 | + | 10.9456i | 0.740372 | + | 0.928397i | 0.999297 | − | 0.0375004i | \(-0.0119395\pi\) |
−0.258925 | + | 0.965898i | \(0.583368\pi\) | |||||||
\(140\) | 6.75141 | − | 8.46601i | 0.570599 | − | 0.715508i | ||||
\(141\) | 1.74199 | + | 7.63215i | 0.146702 | + | 0.642743i | ||||
\(142\) | −20.7793 | − | 4.74275i | −1.74376 | − | 0.398002i | ||||
\(143\) | 1.23982 | + | 0.988722i | 0.103679 | + | 0.0826811i | ||||
\(144\) | −8.48528 | −0.707107 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −9.65685 | −0.799207 | ||||||||
\(147\) | −1.88751 | − | 1.50524i | −0.155679 | − | 0.124150i | ||||
\(148\) | −14.9298 | − | 3.40762i | −1.22722 | − | 0.280105i | ||||
\(149\) | −1.74199 | − | 7.63215i | −0.142709 | − | 0.625250i | −0.994799 | − | 0.101855i | \(-0.967522\pi\) |
0.852090 | − | 0.523395i | \(-0.175335\pi\) | |||||||
\(150\) | −14.5359 | + | 18.2274i | −1.18685 | + | 1.48826i | ||||
\(151\) | 8.81748 | + | 11.0568i | 0.717556 | + | 0.899787i | 0.998197 | − | 0.0600260i | \(-0.0191184\pi\) |
−0.280641 | + | 0.959813i | \(0.590547\pi\) | |||||||
\(152\) | 5.89353 | − | 25.8212i | 0.478028 | − | 2.09438i | ||||
\(153\) | 1.01665 | − | 2.11110i | 0.0821915 | − | 0.170672i | ||||
\(154\) | −2.54832 | − | 1.22721i | −0.205350 | − | 0.0988913i | ||||
\(155\) | −9.81857 | + | 2.24102i | −0.788646 | + | 0.180003i | ||||
\(156\) | −15.3529 | − | 31.8806i | −1.22921 | − | 2.55249i | ||||
\(157\) | 8.48528i | 0.677199i | 0.940931 | + | 0.338600i | \(0.109953\pi\) | ||||
−0.940931 | + | 0.338600i | \(0.890047\pi\) | |||||||
\(158\) | 5.25123 | − | 2.52886i | 0.417766 | − | 0.201185i | ||||
\(159\) | 17.9035 | − | 14.2776i | 1.41984 | − | 1.13229i | ||||
\(160\) | 1.23982 | − | 0.988722i | 0.0980162 | − | 0.0781653i | ||||
\(161\) | 9.31885 | − | 4.48772i | 0.734428 | − | 0.353682i | ||||
\(162\) | − | 22.8995i | − | 1.79915i | ||||||
\(163\) | −1.70470 | − | 3.53985i | −0.133522 | − | 0.277262i | 0.823478 | − | 0.567348i | \(-0.192030\pi\) |
−0.957001 | + | 0.290086i | \(0.906316\pi\) | |||||||
\(164\) | 16.7410 | − | 3.82103i | 1.30726 | − | 0.298373i | ||||
\(165\) | −0.900969 | − | 0.433884i | −0.0701403 | − | 0.0337778i | ||||
\(166\) | 8.02046 | − | 16.6547i | 0.622509 | − | 1.29265i | ||||
\(167\) | −0.705741 | + | 3.09205i | −0.0546119 | + | 0.239270i | −0.994866 | − | 0.101204i | \(-0.967731\pi\) |
0.940254 | + | 0.340474i | \(0.110588\pi\) | |||||||
\(168\) | 18.7933 | + | 23.5661i | 1.44994 | + | 1.81816i | ||||
\(169\) | 1.03303 | − | 1.29538i | 0.0794640 | − | 0.0996447i | ||||
\(170\) | −0.445042 | − | 1.94986i | −0.0341332 | − | 0.149547i | ||||
\(171\) | −16.5451 | − | 3.77631i | −1.26523 | − | 0.288781i | ||||
\(172\) | 10.7329 | + | 8.55922i | 0.818378 | + | 0.652634i | ||||
\(173\) | −12.3431 | −0.938432 | −0.469216 | − | 0.883083i | \(-0.655463\pi\) | ||||
−0.469216 | + | 0.883083i | \(0.655463\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 11.3137 | 0.855236 | ||||||||
\(176\) | 0.971536 | + | 0.774774i | 0.0732323 | + | 0.0584008i | ||||
\(177\) | −8.60708 | − | 1.96451i | −0.646948 | − | 0.147662i | ||||
\(178\) | 6.70726 | + | 29.3864i | 0.502730 | + | 2.20260i | ||||
\(179\) | 4.04351 | − | 5.07040i | 0.302226 | − | 0.378979i | −0.607408 | − | 0.794390i | \(-0.707791\pi\) |
0.909634 | + | 0.415411i | \(0.136362\pi\) | |||||||
\(180\) | 6.75141 | + | 8.46601i | 0.503221 | + | 0.631019i | ||||
\(181\) | −1.84997 | + | 8.10527i | −0.137507 | + | 0.602460i | 0.858471 | + | 0.512863i | \(0.171415\pi\) |
−0.995978 | + | 0.0895969i | \(0.971442\pi\) | |||||||
\(182\) | −11.3426 | + | 23.5533i | −0.840773 | + | 1.74588i | ||||
\(183\) | −10.5025 | − | 5.05772i | −0.776364 | − | 0.373877i | ||||
\(184\) | −15.7374 | + | 3.59196i | −1.16018 | + | 0.264803i | ||||
\(185\) | 1.73553 | + | 3.60388i | 0.127599 | + | 0.264962i | ||||
\(186\) | − | 58.6985i | − | 4.30398i | ||||||
\(187\) | −0.309164 | + | 0.148885i | −0.0226083 | + | 0.0108876i | ||||
\(188\) | −9.70582 | + | 7.74014i | −0.707870 | + | 0.564507i | ||||
\(189\) | −0.915973 | + | 0.730464i | −0.0666272 | + | 0.0531334i | ||||
\(190\) | −13.0508 | + | 6.28493i | −0.946804 | + | 0.455957i | ||||
\(191\) | − | 25.3137i | − | 1.83164i | −0.401594 | − | 0.915818i | \(-0.631544\pi\) | ||
0.401594 | − | 0.915818i | \(-0.368456\pi\) | |||||||
\(192\) | 10.2952 | + | 21.3781i | 0.742989 | + | 1.54283i | ||||
\(193\) | 5.04191 | − | 1.15078i | 0.362925 | − | 0.0828352i | −0.0371701 | − | 0.999309i | \(-0.511834\pi\) |
0.400095 | + | 0.916474i | \(0.368977\pi\) | |||||||
\(194\) | 9.75608 | + | 4.69828i | 0.700445 | + | 0.337317i | ||||
\(195\) | −4.01023 | + | 8.32733i | −0.287179 | + | 0.596333i | ||||
\(196\) | 0.851905 | − | 3.73244i | 0.0608504 | − | 0.266603i | ||||
\(197\) | 1.24698 | + | 1.56366i | 0.0888436 | + | 0.111406i | 0.824266 | − | 0.566202i | \(-0.191588\pi\) |
−0.735423 | + | 0.677609i | \(0.763016\pi\) | |||||||
\(198\) | 1.76350 | − | 2.21135i | 0.125326 | − | 0.157154i | ||||
\(199\) | 0.107985 | + | 0.473114i | 0.00765487 | + | 0.0335382i | 0.978611 | − | 0.205719i | \(-0.0659533\pi\) |
−0.970956 | + | 0.239257i | \(0.923096\pi\) | |||||||
\(200\) | −17.2142 | − | 3.92902i | −1.21722 | − | 0.277824i | ||||
\(201\) | 10.6774 | + | 8.51491i | 0.753123 | + | 0.600595i | ||||
\(202\) | −5.65685 | −0.398015 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 7.65685 | 0.536087 | ||||||||
\(205\) | −3.50673 | − | 2.79653i | −0.244921 | − | 0.195318i | ||||
\(206\) | 11.3646 | + | 2.59389i | 0.791809 | + | 0.180725i | ||||
\(207\) | 2.30157 | + | 10.0838i | 0.159970 | + | 0.700874i | ||||
\(208\) | 7.16096 | − | 8.97955i | 0.496523 | − | 0.622620i | ||||
\(209\) | 1.54955 | + | 1.94307i | 0.107184 | + | 0.134405i | ||||
\(210\) | 3.66832 | − | 16.0720i | 0.253138 | − | 1.10907i | ||||
\(211\) | −8.41074 | + | 17.4651i | −0.579019 | + | 1.20235i | 0.381561 | + | 0.924344i | \(0.375387\pi\) |
−0.960580 | + | 0.278002i | \(0.910328\pi\) | |||||||
\(212\) | 32.7175 | + | 15.7559i | 2.24705 | + | 1.08212i | ||||
\(213\) | −20.7793 | + | 4.74275i | −1.42378 | + | 0.324968i | ||||
\(214\) | 15.5326 | + | 32.2538i | 1.06179 | + | 2.20482i | ||||
\(215\) | − | 3.58579i | − | 0.244549i | ||||||
\(216\) | 1.64736 | − | 0.793325i | 0.112088 | − | 0.0539789i | ||||
\(217\) | −22.2707 | + | 17.7603i | −1.51183 | + | 1.20565i | ||||
\(218\) | 23.8899 | − | 19.0516i | 1.61803 | − | 1.29034i | ||||
\(219\) | −8.70053 | + | 4.18995i | −0.587927 | + | 0.283131i | ||||
\(220\) | − | 1.58579i | − | 0.106914i | ||||||
\(221\) | 1.37609 | + | 2.85749i | 0.0925661 | + | 0.192215i | ||||
\(222\) | −22.7292 | + | 5.18779i | −1.52548 | + | 0.348182i | ||||
\(223\) | 2.85749 | + | 1.37609i | 0.191352 | + | 0.0921501i | 0.527106 | − | 0.849799i | \(-0.323277\pi\) |
−0.335755 | + | 0.941949i | \(0.608991\pi\) | |||||||
\(224\) | 1.94609 | − | 4.04110i | 0.130029 | − | 0.270007i | ||||
\(225\) | −2.51754 | + | 11.0301i | −0.167836 | + | 0.735337i | ||||
\(226\) | 20.0403 | + | 25.1297i | 1.33306 | + | 1.67161i | ||||
\(227\) | −5.07654 | + | 6.36578i | −0.336942 | + | 0.422512i | −0.921220 | − | 0.389042i | \(-0.872806\pi\) |
0.584278 | + | 0.811553i | \(0.301378\pi\) | |||||||
\(228\) | −12.3401 | − | 54.0655i | −0.817242 | − | 3.58057i | ||||
\(229\) | 3.42660 | + | 0.782098i | 0.226436 | + | 0.0516825i | 0.334233 | − | 0.942490i | \(-0.391523\pi\) |
−0.107797 | + | 0.994173i | \(0.534380\pi\) | |||||||
\(230\) | 6.90234 | + | 5.50443i | 0.455127 | + | 0.362952i | ||||
\(231\) | −2.82843 | −0.186097 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 18.3137 | 1.19977 | 0.599885 | − | 0.800086i | \(-0.295213\pi\) | ||||
0.599885 | + | 0.800086i | \(0.295213\pi\) | |||||||
\(234\) | −20.4387 | − | 16.2994i | −1.33612 | − | 1.06552i | ||||
\(235\) | 3.16134 | + | 0.721555i | 0.206223 | + | 0.0470691i | ||||
\(236\) | −3.11529 | − | 13.6490i | −0.202788 | − | 0.888474i | ||||
\(237\) | 3.63396 | − | 4.55685i | 0.236051 | − | 0.295999i | ||||
\(238\) | −3.52699 | − | 4.42271i | −0.228621 | − | 0.286681i | ||||
\(239\) | 4.37406 | − | 19.1640i | 0.282935 | − | 1.23962i | −0.611076 | − | 0.791572i | \(-0.709263\pi\) |
0.894011 | − | 0.448045i | \(-0.147880\pi\) | |||||||
\(240\) | −3.14246 | + | 6.52539i | −0.202845 | + | 0.421212i | ||||
\(241\) | −16.5001 | − | 7.94602i | −1.06286 | − | 0.511848i | −0.181064 | − | 0.983471i | \(-0.557954\pi\) |
−0.881800 | + | 0.471623i | \(0.843668\pi\) | |||||||
\(242\) | 25.4867 | − | 5.81717i | 1.63835 | − | 0.373942i | ||||
\(243\) | −9.39656 | − | 19.5122i | −0.602789 | − | 1.25171i | ||||
\(244\) | − | 18.4853i | − | 1.18340i | ||||||
\(245\) | −0.900969 | + | 0.433884i | −0.0575608 | + | 0.0277198i | ||||
\(246\) | 20.4387 | − | 16.2994i | 1.30313 | − | 1.03921i | ||||
\(247\) | 17.9591 | − | 14.3219i | 1.14271 | − | 0.911281i | ||||
\(248\) | 40.0533 | − | 19.2887i | 2.54339 | − | 1.22483i | ||||
\(249\) | − | 18.4853i | − | 1.17146i | ||||||
\(250\) | 9.42739 | + | 19.5762i | 0.596241 | + | 1.23811i | ||||
\(251\) | −19.5678 | + | 4.46623i | −1.23511 | + | 0.281906i | −0.789741 | − | 0.613440i | \(-0.789785\pi\) |
−0.445370 | + | 0.895346i | \(0.646928\pi\) | |||||||
\(252\) | 27.5943 | + | 13.2887i | 1.73828 | + | 0.837112i | ||||
\(253\) | 0.657212 | − | 1.36471i | 0.0413186 | − | 0.0857989i | ||||
\(254\) | 2.33319 | − | 10.2224i | 0.146398 | − | 0.641410i | ||||
\(255\) | −1.24698 | − | 1.56366i | −0.0780889 | − | 0.0979204i | ||||
\(256\) | −18.6863 | + | 23.4319i | −1.16790 | + | 1.46450i | ||||
\(257\) | 4.04356 | + | 17.7160i | 0.252230 | + | 1.10509i | 0.929344 | + | 0.369214i | \(0.120373\pi\) |
−0.677114 | + | 0.735878i | \(0.736770\pi\) | |||||||
\(258\) | 20.3755 | + | 4.65058i | 1.26852 | + | 0.289532i | ||||
\(259\) | 8.84541 | + | 7.05398i | 0.549627 | + | 0.438313i | ||||
\(260\) | −14.6569 | −0.908980 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −51.4558 | −3.17895 | ||||||||
\(263\) | −2.15579 | − | 1.71919i | −0.132932 | − | 0.106010i | 0.554767 | − | 0.832006i | \(-0.312807\pi\) |
−0.687699 | + | 0.725996i | \(0.741379\pi\) | |||||||
\(264\) | 4.30354 | + | 0.982255i | 0.264865 | + | 0.0604536i | ||||
\(265\) | −2.11067 | − | 9.24747i | −0.129658 | − | 0.568067i | ||||
\(266\) | −25.5447 | + | 32.0321i | −1.56625 | + | 1.96401i | ||||
\(267\) | 18.7933 | + | 23.5661i | 1.15013 | + | 1.44222i | ||||
\(268\) | −4.81910 | + | 21.1139i | −0.294374 | + | 1.28973i | ||||
\(269\) | 13.6482 | − | 28.3407i | 0.832144 | − | 1.72797i | 0.160575 | − | 0.987024i | \(-0.448665\pi\) |
0.671570 | − | 0.740941i | \(-0.265620\pi\) | |||||||
\(270\) | −0.900969 | − | 0.433884i | −0.0548312 | − | 0.0264053i | ||||
\(271\) | 16.1412 | − | 3.68413i | 0.980511 | − | 0.223795i | 0.297916 | − | 0.954592i | \(-0.403708\pi\) |
0.682595 | + | 0.730797i | \(0.260851\pi\) | |||||||
\(272\) | 1.07832 | + | 2.23916i | 0.0653829 | + | 0.135769i | ||||
\(273\) | 26.1421i | 1.58219i | ||||||||
\(274\) | −26.1016 | + | 12.5699i | −1.57685 | + | 0.759373i | ||||
\(275\) | 1.29538 | − | 1.03303i | 0.0781144 | − | 0.0622942i | ||||
\(276\) | −26.4251 | + | 21.0733i | −1.59060 | + | 1.26847i | ||||
\(277\) | 15.5991 | − | 7.51214i | 0.937260 | − | 0.451361i | 0.0980580 | − | 0.995181i | \(-0.468737\pi\) |
0.839202 | + | 0.543820i | \(0.183023\pi\) | |||||||
\(278\) | 33.7990i | 2.02713i | ||||||||
\(279\) | −12.3593 | − | 25.6644i | −0.739932 | − | 1.53648i | ||||
\(280\) | 12.1722 | − | 2.77824i | 0.727431 | − | 0.166031i | ||||
\(281\) | −28.8045 | − | 13.8715i | −1.71833 | − | 0.827505i | −0.989795 | − | 0.142497i | \(-0.954487\pi\) |
−0.728536 | − | 0.685007i | \(-0.759799\pi\) | |||||||
\(282\) | −8.20018 | + | 17.0279i | −0.488314 | + | 1.01399i | ||||
\(283\) | 2.59389 | − | 11.3646i | 0.154191 | − | 0.675555i | −0.837449 | − | 0.546516i | \(-0.815954\pi\) |
0.991640 | − | 0.129039i | \(-0.0411892\pi\) | |||||||
\(284\) | −21.0733 | − | 26.4251i | −1.25047 | − | 1.56804i | ||||
\(285\) | −9.03143 | + | 11.3250i | −0.534975 | + | 0.670838i | ||||
\(286\) | 0.851905 | + | 3.73244i | 0.0503742 | + | 0.220704i | ||||
\(287\) | −12.3682 | − | 2.82297i | −0.730073 | − | 0.166634i | ||||
\(288\) | 3.50673 | + | 2.79653i | 0.206636 | + | 0.164787i | ||||
\(289\) | 16.3137 | 0.959630 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 10.8284 | 0.634774 | ||||||||
\(292\) | −11.9727 | − | 9.54794i | −0.700652 | − | 0.558751i | ||||
\(293\) | 7.46488 | + | 1.70381i | 0.436103 | + | 0.0995377i | 0.434935 | − | 0.900462i | \(-0.356771\pi\) |
0.00116759 | + | 0.999999i | \(0.499628\pi\) | |||||||
\(294\) | −1.29695 | − | 5.68230i | −0.0756395 | − | 0.331398i | ||||
\(295\) | −2.28001 | + | 2.85904i | −0.132747 | + | 0.166460i | ||||
\(296\) | −11.0089 | − | 13.8047i | −0.639877 | − | 0.802381i | ||||
\(297\) | −0.0381786 | + | 0.167271i | −0.00221534 | + | 0.00970606i | ||||
\(298\) | 8.20018 | − | 17.0279i | 0.475024 | − | 0.986397i | ||||
\(299\) | −12.6136 | − | 6.07437i | −0.729461 | − | 0.351290i | ||||
\(300\) | −36.0436 | + | 8.22672i | −2.08098 | + | 0.474970i | ||||
\(301\) | −4.40051 | − | 9.13775i | −0.253641 | − | 0.526691i | ||||
\(302\) | 34.1421i | 1.96466i | ||||||||
\(303\) | −5.09665 | + | 2.45442i | −0.292795 | + | 0.141003i | ||||
\(304\) | 14.0730 | − | 11.2228i | 0.807140 | − | 0.643673i | ||||
\(305\) | −3.77502 | + | 3.01048i | −0.216157 | + | 0.172379i | ||||
\(306\) | 5.09665 | − | 2.45442i | 0.291356 | − | 0.140310i | ||||
\(307\) | − | 2.89949i | − | 0.165483i | −0.996571 | − | 0.0827415i | \(-0.973632\pi\) | ||
0.996571 | − | 0.0827415i | \(-0.0263676\pi\) | |||||||
\(308\) | −1.94609 | − | 4.04110i | −0.110889 | − | 0.230263i | ||||
\(309\) | 11.3646 | − | 2.59389i | 0.646509 | − | 0.147561i | ||||
\(310\) | −21.9059 | − | 10.5493i | −1.24417 | − | 0.599161i | ||||
\(311\) | −1.16554 | + | 2.42027i | −0.0660916 | + | 0.137241i | −0.931398 | − | 0.364003i | \(-0.881410\pi\) |
0.865306 | + | 0.501244i | \(0.167124\pi\) | |||||||
\(312\) | 9.07863 | − | 39.7761i | 0.513976 | − | 2.25188i | ||||
\(313\) | 6.12792 | + | 7.68417i | 0.346371 | + | 0.434335i | 0.924250 | − | 0.381787i | \(-0.124691\pi\) |
−0.577880 | + | 0.816122i | \(0.696120\pi\) | |||||||
\(314\) | −12.7724 | + | 16.0160i | −0.720786 | + | 0.903837i | ||||
\(315\) | −1.78017 | − | 7.79942i | −0.100301 | − | 0.439448i | ||||
\(316\) | 9.01091 | + | 2.05668i | 0.506903 | + | 0.115697i | ||||
\(317\) | −24.5932 | − | 19.6124i | −1.38129 | − | 1.10154i | −0.982862 | − | 0.184342i | \(-0.940984\pi\) |
−0.398428 | − | 0.917200i | \(-0.630444\pi\) | |||||||
\(318\) | 55.2843 | 3.10019 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 9.82843 | 0.549426 | ||||||||
\(321\) | 27.9888 | + | 22.3203i | 1.56218 | + | 1.24580i | ||||
\(322\) | 24.3445 | + | 5.55647i | 1.35667 | + | 0.309650i | ||||
\(323\) | 1.10605 | + | 4.84594i | 0.0615425 | + | 0.269635i | ||||
\(324\) | 22.6412 | − | 28.3912i | 1.25785 | − | 1.57729i | ||||
\(325\) | −9.54794 | − | 11.9727i | −0.529624 | − | 0.664128i | ||||
\(326\) | 2.11067 | − | 9.24747i | 0.116899 | − | 0.512170i | ||||
\(327\) | 13.2579 | − | 27.5303i | 0.733164 | − | 1.52243i | ||||
\(328\) | 17.8383 | + | 8.59046i | 0.984954 | + | 0.474329i | ||||
\(329\) | 8.94162 | − | 2.04087i | 0.492968 | − | 0.112517i | ||||
\(330\) | −1.04749 | − | 2.17513i | −0.0576623 | − | 0.119737i | ||||
\(331\) | − | 2.41421i | − | 0.132697i | −0.997797 | − | 0.0663486i | \(-0.978865\pi\) | ||
0.997797 | − | 0.0663486i | \(-0.0211349\pi\) | |||||||
\(332\) | 26.4107 | − | 12.7187i | 1.44948 | − | 0.698032i | ||||
\(333\) | −8.84541 | + | 7.05398i | −0.484726 | + | 0.386556i | ||||
\(334\) | −5.98637 | + | 4.77397i | −0.327560 | + | 0.261220i | ||||
\(335\) | 5.09665 | − | 2.45442i | 0.278460 | − | 0.134099i | ||||
\(336\) | 20.4853i | 1.11756i | ||||||||
\(337\) | −9.45823 | − | 19.6402i | −0.515222 | − | 1.06987i | −0.982587 | − | 0.185806i | \(-0.940511\pi\) |
0.467364 | − | 0.884065i | \(-0.345204\pi\) | |||||||
\(338\) | 3.89971 | − | 0.890084i | 0.212116 | − | 0.0484142i | ||||
\(339\) | 28.9591 | + | 13.9459i | 1.57284 | + | 0.757440i | ||||
\(340\) | 1.37609 | − | 2.85749i | 0.0746292 | − | 0.154969i | ||||
\(341\) | −0.928262 | + | 4.06698i | −0.0502682 | + | 0.220239i | ||||
\(342\) | −25.5447 | − | 32.0321i | −1.38130 | − | 1.73210i | ||||
\(343\) | 10.5810 | − | 13.2681i | 0.571319 | − | 0.716411i | ||||
\(344\) | 3.52216 | + | 15.4316i | 0.189902 | + | 0.832015i | ||||
\(345\) | 8.60708 | + | 1.96451i | 0.463390 | + | 0.105766i | ||||
\(346\) | −23.2978 | − | 18.5794i | −1.25250 | − | 0.998833i | ||||
\(347\) | −2.48528 | −0.133417 | −0.0667084 | − | 0.997773i | \(-0.521250\pi\) | ||||
−0.0667084 | + | 0.997773i | \(0.521250\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −5.14214 | −0.275252 | −0.137626 | − | 0.990484i | \(-0.543947\pi\) | ||||
−0.137626 | + | 0.990484i | \(0.543947\pi\) | |||||||
\(350\) | 21.3547 | + | 17.0298i | 1.14146 | + | 0.910282i | ||||
\(351\) | 1.54603 | + | 0.352871i | 0.0825208 | + | 0.0188348i | ||||
\(352\) | −0.146164 | − | 0.640386i | −0.00779056 | − | 0.0341327i | ||||
\(353\) | −16.8159 | + | 21.0864i | −0.895018 | + | 1.12232i | 0.0968814 | + | 0.995296i | \(0.469113\pi\) |
−0.991900 | + | 0.127022i | \(0.959458\pi\) | |||||||
\(354\) | −13.2889 | − | 16.6637i | −0.706296 | − | 0.885667i | ||||
\(355\) | −1.96451 | + | 8.60708i | −0.104265 | + | 0.456816i | ||||
\(356\) | −20.7392 | + | 43.0654i | −1.09918 | + | 2.28246i | ||||
\(357\) | −5.09665 | − | 2.45442i | −0.269743 | − | 0.129902i | ||||
\(358\) | 15.2643 | − | 3.48398i | 0.806744 | − | 0.184134i | ||||
\(359\) | 1.70470 | + | 3.53985i | 0.0899706 | + | 0.186826i | 0.941099 | − | 0.338132i | \(-0.109795\pi\) |
−0.851128 | + | 0.524958i | \(0.824081\pi\) | |||||||
\(360\) | 12.4853i | 0.658032i | ||||||||
\(361\) | 15.3165 | − | 7.37602i | 0.806130 | − | 0.388212i | ||||
\(362\) | −15.6922 | + | 12.5141i | −0.824763 | + | 0.657727i | ||||
\(363\) | 20.4387 | − | 16.2994i | 1.07276 | − | 0.855494i | ||||
\(364\) | −37.3504 | + | 17.9870i | −1.95769 | + | 0.942776i | ||||
\(365\) | 4.00000i | 0.209370i | ||||||||
\(366\) | −12.2104 | − | 25.3552i | −0.638249 | − | 1.32534i | ||||
\(367\) | −17.5487 | + | 4.00538i | −0.916035 | + | 0.209079i | −0.654453 | − | 0.756102i | \(-0.727101\pi\) |
−0.261582 | + | 0.965181i | \(0.584244\pi\) | |||||||
\(368\) | −9.88414 | − | 4.75995i | −0.515246 | − | 0.248129i | ||||
\(369\) | 5.50438 | − | 11.4300i | 0.286546 | − | 0.595020i | ||||
\(370\) | −2.14885 | + | 9.41474i | −0.111714 | + | 0.489449i | ||||
\(371\) | −16.7273 | − | 20.9753i | −0.868436 | − | 1.08898i | ||||
\(372\) | 58.0365 | − | 72.7754i | 3.00905 | − | 3.77323i | ||||
\(373\) | 5.85535 | + | 25.6540i | 0.303179 | + | 1.32831i | 0.865299 | + | 0.501257i | \(0.167129\pi\) |
−0.562120 | + | 0.827056i | \(0.690014\pi\) | |||||||
\(374\) | −0.807657 | − | 0.184342i | −0.0417629 | − | 0.00953212i | ||||
\(375\) | 16.9876 | + | 13.5471i | 0.877235 | + | 0.699571i | ||||
\(376\) | −14.3137 | −0.738173 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −2.82843 | −0.145479 | ||||||||
\(379\) | 5.44981 | + | 4.34607i | 0.279938 | + | 0.223243i | 0.753386 | − | 0.657579i | \(-0.228419\pi\) |
−0.473448 | + | 0.880822i | \(0.656991\pi\) | |||||||
\(380\) | −22.3946 | − | 5.11143i | −1.14882 | − | 0.262211i | ||||
\(381\) | −2.33319 | − | 10.2224i | −0.119533 | − | 0.523709i | ||||
\(382\) | 38.1031 | − | 47.7798i | 1.94953 | − | 2.44463i | ||||
\(383\) | 2.19139 | + | 2.74792i | 0.111975 | + | 0.140412i | 0.834660 | − | 0.550765i | \(-0.185664\pi\) |
−0.722686 | + | 0.691177i | \(0.757093\pi\) | |||||||
\(384\) | −11.0431 | + | 48.3832i | −0.563543 | + | 2.46904i | ||||
\(385\) | −0.508326 | + | 1.05555i | −0.0259067 | + | 0.0537958i | ||||
\(386\) | 11.2488 | + | 5.41716i | 0.572551 | + | 0.275726i | ||||
\(387\) | 9.88785 | − | 2.25684i | 0.502628 | − | 0.114721i | ||||
\(388\) | 7.45047 | + | 15.4711i | 0.378240 | + | 0.785424i | ||||
\(389\) | 3.02944i | 0.153599i | 0.997047 | + | 0.0767993i | \(0.0244701\pi\) | ||||
−0.997047 | + | 0.0767993i | \(0.975530\pi\) | |||||||
\(390\) | −20.1040 | + | 9.68156i | −1.01800 | + | 0.490245i | ||||
\(391\) | 2.36851 | − | 1.88882i | 0.119781 | − | 0.0955219i | ||||
\(392\) | 3.45117 | − | 2.75222i | 0.174310 | − | 0.139008i | ||||
\(393\) | −46.3601 | + | 22.3259i | −2.33856 | + | 1.12619i | ||||
\(394\) | 4.82843i | 0.243253i | ||||||||
\(395\) | −1.04749 | − | 2.17513i | −0.0527048 | − | 0.109443i | ||||
\(396\) | 4.37283 | − | 0.998069i | 0.219743 | − | 0.0501549i | ||||
\(397\) | −17.4276 | − | 8.39268i | −0.874665 | − | 0.421216i | −0.0579918 | − | 0.998317i | \(-0.518470\pi\) |
−0.816673 | + | 0.577101i | \(0.804184\pi\) | |||||||
\(398\) | −0.508326 | + | 1.05555i | −0.0254801 | + | 0.0529100i | ||||
\(399\) | −9.11681 | + | 39.9433i | −0.456411 | + | 1.99967i | ||||
\(400\) | −7.48188 | − | 9.38198i | −0.374094 | − | 0.469099i | ||||
\(401\) | −11.6324 | + | 14.5865i | −0.580892 | + | 0.728416i | −0.982265 | − | 0.187499i | \(-0.939962\pi\) |
0.401373 | + | 0.915915i | \(0.368533\pi\) | |||||||
\(402\) | 7.33664 | + | 32.1439i | 0.365918 | + | 1.60319i | ||||
\(403\) | 37.5897 | + | 8.57959i | 1.87247 | + | 0.427380i | ||||
\(404\) | −7.01347 | − | 5.59305i | −0.348933 | − | 0.278265i | ||||
\(405\) | −9.48528 | −0.471327 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 1.65685 | 0.0821272 | ||||||||
\(408\) | 6.90234 | + | 5.50443i | 0.341717 | + | 0.272510i | ||||
\(409\) | −18.4949 | − | 4.22135i | −0.914515 | − | 0.208732i | −0.260730 | − | 0.965412i | \(-0.583963\pi\) |
−0.653786 | + | 0.756680i | \(0.726820\pi\) | |||||||
\(410\) | −2.40955 | − | 10.5569i | −0.118999 | − | 0.521370i | ||||
\(411\) | −18.0629 | + | 22.6501i | −0.890975 | + | 1.11725i | ||||
\(412\) | 11.5254 | + | 14.4524i | 0.567815 | + | 0.712017i | ||||
\(413\) | −2.30157 | + | 10.0838i | −0.113253 | + | 0.496192i | ||||
\(414\) | −10.8343 | + | 22.4977i | −0.532478 | + | 1.10570i | ||||
\(415\) | −6.89859 | − | 3.32218i | −0.338638 | − | 0.163080i | ||||
\(416\) | −5.91885 | + | 1.35094i | −0.290196 | + | 0.0662353i | ||||
\(417\) | 14.6648 | + | 30.4518i | 0.718140 | + | 1.49123i | ||||
\(418\) | 6.00000i | 0.293470i | ||||||||
\(419\) | −8.57247 | + | 4.12828i | −0.418792 | + | 0.201680i | −0.631399 | − | 0.775458i | \(-0.717519\pi\) |
0.212607 | + | 0.977138i | \(0.431805\pi\) | |||||||
\(420\) | 20.4387 | − | 16.2994i | 0.997309 | − | 0.795327i | ||||
\(421\) | −29.0159 | + | 23.1394i | −1.41415 | + | 1.12774i | −0.441015 | + | 0.897500i | \(0.645381\pi\) |
−0.973133 | + | 0.230245i | \(0.926047\pi\) | |||||||
\(422\) | −42.1644 | + | 20.3053i | −2.05253 | + | 0.988448i | ||||
\(423\) | 9.17157i | 0.445937i | ||||||||
\(424\) | 18.1667 | + | 37.7236i | 0.882255 | + | 1.83202i | ||||
\(425\) | 3.23063 | − | 0.737370i | 0.156708 | − | 0.0357677i | ||||
\(426\) | −46.3601 | − | 22.3259i | −2.24615 | − | 1.08169i | ||||
\(427\) | −5.92549 | + | 12.3044i | −0.286754 | + | 0.595452i | ||||
\(428\) | −12.6324 | + | 55.3462i | −0.610611 | + | 2.67526i | ||||
\(429\) | 2.38699 | + | 2.99318i | 0.115245 | + | 0.144512i | ||||
\(430\) | 5.39746 | − | 6.76820i | 0.260289 | − | 0.326392i | ||||
\(431\) | −4.37406 | − | 19.1640i | −0.210691 | − | 0.923098i | −0.964099 | − | 0.265544i | \(-0.914448\pi\) |
0.753408 | − | 0.657554i | \(-0.228409\pi\) | |||||||
\(432\) | 1.21149 | + | 0.276514i | 0.0582876 | + | 0.0133038i | ||||
\(433\) | 23.9455 | + | 19.0959i | 1.15075 | + | 0.917690i | 0.997512 | − | 0.0705003i | \(-0.0224596\pi\) |
0.153235 | + | 0.988190i | \(0.451031\pi\) | |||||||
\(434\) | −68.7696 | −3.30104 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 48.4558 | 2.32061 | ||||||||
\(437\) | −17.1543 | − | 13.6801i | −0.820600 | − | 0.654406i | ||||
\(438\) | −22.7292 | − | 5.18779i | −1.08604 | − | 0.247882i | ||||
\(439\) | −0.0763571 | − | 0.334542i | −0.00364433 | − | 0.0159668i | 0.973073 | − | 0.230497i | \(-0.0740352\pi\) |
−0.976717 | + | 0.214530i | \(0.931178\pi\) | |||||||
\(440\) | 1.14001 | − | 1.42952i | 0.0543476 | − | 0.0681498i | ||||
\(441\) | −1.76350 | − | 2.21135i | −0.0839760 | − | 0.105303i | ||||
\(442\) | −1.70381 | + | 7.46488i | −0.0810420 | + | 0.355068i | ||||
\(443\) | −10.5621 | + | 21.9324i | −0.501820 | + | 1.04204i | 0.484129 | + | 0.874997i | \(0.339136\pi\) |
−0.985949 | + | 0.167044i | \(0.946578\pi\) | |||||||
\(444\) | −33.3093 | − | 16.0409i | −1.58079 | − | 0.761269i | ||||
\(445\) | 12.1722 | − | 2.77824i | 0.577020 | − | 0.131701i | ||||
\(446\) | 3.32218 | + | 6.89859i | 0.157310 | + | 0.326658i | ||||
\(447\) | − | 18.8995i | − | 0.893915i | ||||||
\(448\) | 25.0460 | − | 12.0615i | 1.18331 | − | 0.569854i | ||||
\(449\) | −27.3411 | + | 21.8038i | −1.29031 | + | 1.02898i | −0.292964 | + | 0.956124i | \(0.594641\pi\) |
−0.997342 | + | 0.0728608i | \(0.976787\pi\) | |||||||
\(450\) | −21.3547 | + | 17.0298i | −1.00667 | + | 0.802793i | ||||
\(451\) | −1.67388 | + | 0.806097i | −0.0788198 | + | 0.0379576i | ||||
\(452\) | 50.9706i | 2.39745i | ||||||||
\(453\) | 14.8137 | + | 30.7610i | 0.696009 | + | 1.44528i | ||||
\(454\) | −19.1640 | + | 4.37406i | −0.899412 | + | 0.205285i | ||||
\(455\) | 9.75608 | + | 4.69828i | 0.457372 | + | 0.220259i | ||||
\(456\) | 27.7430 | − | 57.6090i | 1.29919 | − | 2.69779i | ||||
\(457\) | 0.229071 | − | 1.00363i | 0.0107155 | − | 0.0469477i | −0.969288 | − | 0.245930i | \(-0.920907\pi\) |
0.980003 | + | 0.198983i | \(0.0637637\pi\) | |||||||
\(458\) | 5.29049 | + | 6.63406i | 0.247208 | + | 0.309989i | ||||
\(459\) | −0.213948 | + | 0.268282i | −0.00998623 | + | 0.0125223i | ||||
\(460\) | 3.11529 | + | 13.6490i | 0.145251 | + | 0.636387i | ||||
\(461\) | −13.6490 | − | 3.11529i | −0.635697 | − | 0.145094i | −0.107486 | − | 0.994207i | \(-0.534280\pi\) |
−0.528211 | + | 0.849113i | \(0.677137\pi\) | |||||||
\(462\) | −5.33868 | − | 4.25745i | −0.248378 | − | 0.198075i | ||||
\(463\) | 26.0000 | 1.20832 | 0.604161 | − | 0.796862i | \(-0.293508\pi\) | ||||
0.604161 | + | 0.796862i | \(0.293508\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −24.3137 | −1.12752 | ||||||||
\(466\) | 34.5673 | + | 27.5665i | 1.60130 | + | 1.27699i | ||||
\(467\) | −37.3937 | − | 8.53487i | −1.73037 | − | 0.394946i | −0.762620 | − | 0.646846i | \(-0.776087\pi\) |
−0.967753 | + | 0.251900i | \(0.918945\pi\) | |||||||
\(468\) | −9.22479 | − | 40.4165i | −0.426416 | − | 1.86825i | ||||
\(469\) | 9.97584 | − | 12.5093i | 0.460641 | − | 0.577626i | ||||
\(470\) | 4.88094 | + | 6.12051i | 0.225141 | + | 0.282318i | ||||
\(471\) | −4.55840 | + | 19.9717i | −0.210040 | + | 0.920246i | ||||
\(472\) | 7.00381 | − | 14.5436i | 0.322376 | − | 0.669422i | ||||
\(473\) | −1.33819 | − | 0.644439i | −0.0615301 | − | 0.0296314i | ||||
\(474\) | 13.7183 | − | 3.13111i | 0.630101 | − | 0.143817i | ||||
\(475\) | −10.4132 | − | 21.6233i | −0.477791 | − | 0.992143i | ||||
\(476\) | − | 8.97056i | − | 0.411165i | ||||||
\(477\) | 24.1716 | − | 11.6404i | 1.10674 | − | 0.532978i | ||||
\(478\) | 37.1025 | − | 29.5882i | 1.69703 | − | 1.35333i | ||||
\(479\) | −5.39424 | + | 4.30176i | −0.246469 | + | 0.196553i | −0.738930 | − | 0.673782i | \(-0.764669\pi\) |
0.492461 | + | 0.870334i | \(0.336097\pi\) | |||||||
\(480\) | 3.44929 | − | 1.66109i | 0.157438 | − | 0.0758181i | ||||
\(481\) | − | 15.3137i | − | 0.698245i | ||||||
\(482\) | −19.1834 | − | 39.8347i | −0.873779 | − | 1.81442i | ||||
\(483\) | 24.3445 | − | 5.55647i | 1.10771 | − | 0.252828i | ||||
\(484\) | 37.3504 | + | 17.9870i | 1.69775 | + | 0.817592i | ||||
\(485\) | 1.94609 | − | 4.04110i | 0.0883674 | − | 0.183497i | ||||
\(486\) | 11.6343 | − | 50.9734i | 0.527745 | − | 2.31220i | ||||
\(487\) | −7.17931 | − | 9.00257i | −0.325326 | − | 0.407945i | 0.592093 | − | 0.805870i | \(-0.298302\pi\) |
−0.917418 | + | 0.397925i | \(0.869731\pi\) | |||||||
\(488\) | 13.2889 | − | 16.6637i | 0.601559 | − | 0.754332i | ||||
\(489\) | −2.11067 | − | 9.24747i | −0.0954480 | − | 0.418185i | ||||
\(490\) | −2.35368 | − | 0.537213i | −0.106329 | − | 0.0242688i | ||||
\(491\) | −16.6082 | − | 13.2446i | −0.749516 | − | 0.597719i | 0.172437 | − | 0.985021i | \(-0.444836\pi\) |
−0.921953 | + | 0.387301i | \(0.873407\pi\) | |||||||
\(492\) | 41.4558 | 1.86897 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 55.4558 | 2.49508 | ||||||||
\(495\) | −0.915973 | − | 0.730464i | −0.0411699 | − | 0.0328319i | ||||
\(496\) | 29.4557 | + | 6.72307i | 1.32260 | + | 0.301875i | ||||
\(497\) | 5.55647 | + | 24.3445i | 0.249242 | + | 1.09200i | ||||
\(498\) | 27.8247 | − | 34.8911i | 1.24686 | − | 1.56351i | ||||
\(499\) | −11.8280 | − | 14.8318i | −0.529492 | − | 0.663962i | 0.443102 | − | 0.896471i | \(-0.353878\pi\) |
−0.972594 | + | 0.232509i | \(0.925306\pi\) | |||||||
\(500\) | −7.66715 | + | 33.5920i | −0.342885 | + | 1.50228i | ||||
\(501\) | −3.32218 | + | 6.89859i | −0.148424 | + | 0.308206i | ||||
\(502\) | −43.6572 | − | 21.0242i | −1.94852 | − | 0.938356i | ||||
\(503\) | 0.265256 | − | 0.0605430i | 0.0118272 | − | 0.00269948i | −0.216603 | − | 0.976260i | \(-0.569498\pi\) |
0.228430 | + | 0.973560i | \(0.426641\pi\) | |||||||
\(504\) | 15.3220 | + | 31.8166i | 0.682498 | + | 1.41722i | ||||
\(505\) | 2.34315i | 0.104269i | ||||||||
\(506\) | 3.29471 | − | 1.58665i | 0.146468 | − | 0.0705352i | ||||
\(507\) | 3.12733 | − | 2.49396i | 0.138889 | − | 0.110761i | ||||
\(508\) | 12.9998 | − | 10.3670i | 0.576775 | − | 0.459962i | ||||
\(509\) | 9.47343 | − | 4.56217i | 0.419903 | − | 0.202214i | −0.211988 | − | 0.977272i | \(-0.567994\pi\) |
0.631890 | + | 0.775058i | \(0.282279\pi\) | |||||||
\(510\) | − | 4.82843i | − | 0.213806i | ||||||
\(511\) | 4.90883 | + | 10.1933i | 0.217154 | + | 0.450925i | ||||
\(512\) | −30.4593 | + | 6.95214i | −1.34612 | + | 0.307244i | ||||
\(513\) | 2.23916 | + | 1.07832i | 0.0988614 | + | 0.0476091i | ||||
\(514\) | −19.0345 | + | 39.5256i | −0.839576 | + | 1.74340i | ||||
\(515\) | 1.07443 | − | 4.70737i | 0.0473449 | − | 0.207431i | ||||
\(516\) | 20.6638 | + | 25.9116i | 0.909672 | + | 1.14069i | ||||
\(517\) | 0.837438 | − | 1.05011i | 0.0368305 | − | 0.0461839i | ||||
\(518\) | 6.07787 | + | 26.6289i | 0.267046 | + | 1.17001i | ||||
\(519\) | −29.0519 | − | 6.63090i | −1.27524 | − | 0.291064i | ||||
\(520\) | −13.2126 | − | 10.5367i | −0.579409 | − | 0.462063i | ||||
\(521\) | 29.1421 | 1.27674 | 0.638370 | − | 0.769730i | \(-0.279609\pi\) | ||||
0.638370 | + | 0.769730i | \(0.279609\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 4.68629 | 0.204917 | 0.102459 | − | 0.994737i | \(-0.467329\pi\) | ||||
0.102459 | + | 0.994737i | \(0.467329\pi\) | |||||||
\(524\) | −63.7959 | − | 50.8755i | −2.78694 | − | 2.22251i | ||||
\(525\) | 26.6289 | + | 6.07787i | 1.16218 | + | 0.265260i | ||||
\(526\) | −1.48129 | − | 6.48995i | −0.0645873 | − | 0.282975i | ||||
\(527\) | −5.20187 | + | 6.52293i | −0.226597 | + | 0.284143i | ||||
\(528\) | 1.87047 | + | 2.34549i | 0.0814017 | + | 0.102075i | ||||
\(529\) | 2.14230 | − | 9.38604i | 0.0931436 | − | 0.408089i | ||||
\(530\) | 9.93572 | − | 20.6317i | 0.431580 | − | 0.896185i | ||||
\(531\) | −9.31885 | − | 4.48772i | −0.404404 | − | 0.194751i | ||||
\(532\) | −63.3416 | + | 14.4573i | −2.74621 | + | 0.626804i | ||||
\(533\) | 7.45047 | + | 15.4711i | 0.322716 | + | 0.670126i | ||||
\(534\) | 72.7696i | 3.14905i | ||||||||
\(535\) | 13.3600 | − | 6.43381i | 0.577601 | − | 0.278158i | ||||
\(536\) | −19.5228 | + | 15.5689i | −0.843255 | + | 0.672474i | ||||
\(537\) | 12.2410 | − | 9.76189i | 0.528239 | − | 0.421257i | ||||
\(538\) | 68.4206 | − | 32.9496i | 2.94982 | − | 1.42056i | ||||
\(539\) | 0.414214i | 0.0178414i | ||||||||
\(540\) | −0.688047 | − | 1.42874i | −0.0296088 | − | 0.0614834i | ||||
\(541\) | 10.0838 | − | 2.30157i | 0.433537 | − | 0.0989521i | −0.000182215 | − | 1.00000i | \(-0.500058\pi\) |
0.433720 | + | 0.901048i | \(0.357201\pi\) | |||||||
\(542\) | 36.0122 | + | 17.3426i | 1.54686 | + | 0.744927i | ||||
\(543\) | −8.70851 | + | 18.0834i | −0.373718 | + | 0.776033i | ||||
\(544\) | 0.292328 | − | 1.28077i | 0.0125334 | − | 0.0549126i | ||||
\(545\) | −7.89142 | − | 9.89553i | −0.338031 | − | 0.423878i | ||||
\(546\) | −39.3501 | + | 49.3435i | −1.68403 | + | 2.11171i | ||||
\(547\) | −7.96602 | − | 34.9014i | −0.340603 | − | 1.49228i | −0.797805 | − | 0.602915i | \(-0.794006\pi\) |
0.457203 | − | 0.889362i | \(-0.348851\pi\) | |||||||
\(548\) | −44.7893 | − | 10.2229i | −1.91330 | − | 0.436699i | ||||
\(549\) | −10.6774 | − | 8.51491i | −0.455699 | − | 0.363407i | ||||
\(550\) | 4.00000 | 0.170561 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −38.9706 | −1.65870 | ||||||||
\(553\) | −5.33868 | − | 4.25745i | −0.227024 | − | 0.181045i | ||||
\(554\) | 40.7510 | + | 9.30115i | 1.73134 | + | 0.395168i | ||||
\(555\) | 2.14885 | + | 9.41474i | 0.0912137 | + | 0.399633i | ||||
\(556\) | −33.4178 | + | 41.9046i | −1.41723 | + | 1.77715i | ||||
\(557\) | 10.7949 | + | 13.5364i | 0.457395 | + | 0.573556i | 0.956035 | − | 0.293254i | \(-0.0947381\pi\) |
−0.498639 | + | 0.866810i | \(0.666167\pi\) | |||||||
\(558\) | 15.3027 | − | 67.0454i | 0.647813 | − | 2.83826i | ||||
\(559\) | −5.95632 | + | 12.3684i | −0.251926 | + | 0.523129i | ||||
\(560\) | 7.64497 | + | 3.68163i | 0.323059 | + | 0.155577i | ||||
\(561\) | −0.807657 | + | 0.184342i | −0.0340993 | + | 0.00778294i | ||||
\(562\) | −33.4888 | − | 69.5402i | −1.41264 | − | 2.93338i | ||||
\(563\) | − | 0.757359i | − | 0.0319189i | −0.999873 | − | 0.0159594i | \(-0.994920\pi\) | ||
0.999873 | − | 0.0159594i | \(-0.00508026\pi\) | |||||||
\(564\) | −27.0025 | + | 13.0037i | −1.13701 | + | 0.547556i | ||||
\(565\) | 10.4091 | − | 8.30096i | 0.437913 | − | 0.349224i | ||||
\(566\) | 22.0024 | − | 17.5463i | 0.924830 | − | 0.737527i | ||||
\(567\) | −24.1716 | + | 11.6404i | −1.01511 | + | 0.488852i | ||||
\(568\) | − | 38.9706i | − | 1.63517i | ||||||
\(569\) | 17.2065 | + | 35.7296i | 0.721333 | + | 1.49786i | 0.861513 | + | 0.507736i | \(0.169518\pi\) |
−0.140180 | + | 0.990126i | \(0.544768\pi\) | |||||||
\(570\) | −34.0938 | + | 7.78168i | −1.42803 | + | 0.325939i | ||||
\(571\) | −13.1788 | − | 6.34660i | −0.551518 | − | 0.265597i | 0.137303 | − | 0.990529i | \(-0.456157\pi\) |
−0.688820 | + | 0.724932i | \(0.741871\pi\) | |||||||
\(572\) | −2.63414 | + | 5.46984i | −0.110139 | + | 0.228706i | ||||
\(573\) | 13.5989 | − | 59.5805i | 0.568100 | − | 2.48901i | ||||
\(574\) | −19.0959 | − | 23.9455i | −0.797047 | − | 0.999465i | ||||
\(575\) | −9.12005 | + | 11.4362i | −0.380332 | + | 0.476921i | ||||
\(576\) | 6.18586 | + | 27.1020i | 0.257744 | + | 1.12925i | ||||
\(577\) | 29.0519 | + | 6.63090i | 1.20945 | + | 0.276048i | 0.779265 | − | 0.626695i | \(-0.215593\pi\) |
0.430180 | + | 0.902743i | \(0.358450\pi\) | |||||||
\(578\) | 30.7923 | + | 24.5560i | 1.28079 | + | 1.02140i | ||||
\(579\) | 12.4853 | 0.518871 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −21.6569 | −0.898478 | ||||||||
\(582\) | 20.4387 | + | 16.2994i | 0.847213 | + | 0.675630i | ||||
\(583\) | −3.83043 | − | 0.874270i | −0.158640 | − | 0.0362085i | ||||
\(584\) | −3.92902 | − | 17.2142i | −0.162584 | − | 0.712327i | ||||
\(585\) | −6.75141 | + | 8.46601i | −0.279137 | + | 0.350026i | ||||
\(586\) | 11.5254 | + | 14.4524i | 0.476109 | + | 0.597022i | ||||
\(587\) | −1.70381 | + | 7.46488i | −0.0703238 | + | 0.308109i | −0.997841 | − | 0.0656710i | \(-0.979081\pi\) |
0.927518 | + | 0.373780i | \(0.121938\pi\) | |||||||
\(588\) | 4.01023 | − | 8.32733i | 0.165379 | − | 0.343413i | ||||
\(589\) | 54.4423 | + | 26.2180i | 2.24326 | + | 1.08030i | ||||
\(590\) | −8.60708 | + | 1.96451i | −0.354348 | + | 0.0808776i | ||||
\(591\) | 2.09498 | + | 4.35026i | 0.0861758 | + | 0.178946i | ||||
\(592\) | − | 12.0000i | − | 0.493197i | ||||||
\(593\) | −17.5556 | + | 8.45435i | −0.720923 | + | 0.347178i | −0.758107 | − | 0.652130i | \(-0.773876\pi\) |
0.0371837 | + | 0.999308i | \(0.488161\pi\) | |||||||
\(594\) | −0.323845 | + | 0.258258i | −0.0132875 | + | 0.0105965i | ||||
\(595\) | −1.83195 | + | 1.46093i | −0.0751024 | + | 0.0598922i | ||||
\(596\) | 27.0025 | − | 13.0037i | 1.10607 | − | 0.532654i | ||||
\(597\) | 1.17157i | 0.0479493i | ||||||||
\(598\) | −14.6648 | − | 30.4518i | −0.599690 | − | 1.24527i | ||||
\(599\) | −9.62259 | + | 2.19629i | −0.393169 | + | 0.0897382i | −0.414535 | − | 0.910034i | \(-0.636056\pi\) |
0.0213660 | + | 0.999772i | \(0.493198\pi\) | |||||||
\(600\) | −38.4060 | − | 18.4953i | −1.56792 | − | 0.755069i | ||||
\(601\) | 7.45047 | − | 15.4711i | 0.303911 | − | 0.631077i | −0.691952 | − | 0.721943i | \(-0.743249\pi\) |
0.995863 | + | 0.0908658i | \(0.0289634\pi\) | |||||||
\(602\) | 5.44849 | − | 23.8714i | 0.222064 | − | 0.972925i | ||||
\(603\) | 9.97584 | + | 12.5093i | 0.406247 | + | 0.509418i | ||||
\(604\) | −33.7571 | + | 42.3300i | −1.37356 | + | 1.72238i | ||||
\(605\) | −2.40955 | − | 10.5569i | −0.0979622 | − | 0.429200i | ||||
\(606\) | −13.3144 | − | 3.03894i | −0.540862 | − | 0.123448i | ||||
\(607\) | −6.04193 | − | 4.81828i | −0.245234 | − | 0.195568i | 0.493157 | − | 0.869940i | \(-0.335843\pi\) |
−0.738391 | + | 0.674372i | \(0.764414\pi\) | |||||||
\(608\) | −9.51472 | −0.385873 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −11.6569 | −0.471972 | ||||||||
\(611\) | −9.70582 | − | 7.74014i | −0.392656 | − | 0.313132i | ||||
\(612\) | 8.74565 | + | 1.99614i | 0.353522 | + | 0.0806891i | ||||
\(613\) | −2.00269 | − | 8.77435i | −0.0808878 | − | 0.354393i | 0.918246 | − | 0.396011i | \(-0.129606\pi\) |
−0.999134 | + | 0.0416183i | \(0.986749\pi\) | |||||||
\(614\) | 4.36443 | − | 5.47282i | 0.176134 | − | 0.220865i | ||||
\(615\) | −6.75141 | − | 8.46601i | −0.272243 | − | 0.341382i | ||||
\(616\) | 1.15078 | − | 5.04191i | 0.0463664 | − | 0.203144i | ||||
\(617\) | 0.297771 | − | 0.618327i | 0.0119878 | − | 0.0248929i | −0.894889 | − | 0.446289i | \(-0.852745\pi\) |
0.906877 | + | 0.421396i | \(0.138460\pi\) | |||||||
\(618\) | 25.3552 | + | 12.2104i | 1.01994 | + | 0.491175i | ||||
\(619\) | 32.7437 | − | 7.47354i | 1.31608 | − | 0.300387i | 0.493853 | − | 0.869545i | \(-0.335588\pi\) |
0.822228 | + | 0.569158i | \(0.192731\pi\) | |||||||
\(620\) | −16.7290 | − | 34.7381i | −0.671852 | − | 1.39511i | ||||
\(621\) | − | 1.51472i | − | 0.0607836i | ||||||
\(622\) | −5.84304 | + | 2.81386i | −0.234284 | + | 0.112825i | ||||
\(623\) | 27.6094 | − | 22.0177i | 1.10615 | − | 0.882122i | ||||
\(624\) | 21.6786 | − | 17.2881i | 0.867837 | − | 0.692077i | ||||
\(625\) | −9.91066 | + | 4.77272i | −0.396426 | + | 0.190909i | ||||
\(626\) | 23.7279i | 0.948358i | ||||||||
\(627\) | 2.60330 | + | 5.40581i | 0.103966 | + | 0.215887i | ||||
\(628\) | −31.6708 | + | 7.22866i | −1.26380 | + | 0.288455i | ||||
\(629\) | 2.98555 | + | 1.43776i | 0.119042 | + | 0.0573274i | ||||
\(630\) | 8.37990 | − | 17.4011i | 0.333863 | − | 0.693274i | ||||
\(631\) | −8.19510 | + | 35.9051i | −0.326242 | + | 1.42936i | 0.499992 | + | 0.866030i | \(0.333336\pi\) |
−0.826233 | + | 0.563328i | \(0.809521\pi\) | |||||||
\(632\) | 6.64444 | + | 8.33186i | 0.264302 | + | 0.331424i | ||||
\(633\) | −29.1787 | + | 36.5889i | −1.15975 | + | 1.45428i | ||||
\(634\) | −16.8985 | − | 74.0371i | −0.671125 | − | 2.94039i | ||||
\(635\) | −4.23425 | − | 0.966441i | −0.168031 | − | 0.0383520i | ||||
\(636\) | 68.5424 | + | 54.6608i | 2.71788 | + | 2.16744i | ||||
\(637\) | 3.82843 | 0.151688 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −24.9706 | −0.987820 | ||||||||
\(640\) | 16.0716 | + | 12.8167i | 0.635286 | + | 0.506624i | ||||
\(641\) | 17.3527 | + | 3.96065i | 0.685392 | + | 0.156436i | 0.551017 | − | 0.834494i | \(-0.314240\pi\) |
0.134375 | + | 0.990931i | \(0.457097\pi\) | |||||||
\(642\) | 19.2317 | + | 84.2595i | 0.759014 | + | 3.32546i | ||||
\(643\) | −20.2542 | + | 25.3980i | −0.798749 | + | 1.00160i | 0.201008 | + | 0.979590i | \(0.435578\pi\) |
−0.999758 | + | 0.0220105i | \(0.992993\pi\) | |||||||
\(644\) | 24.6889 | + | 30.9589i | 0.972880 | + | 1.21995i | ||||
\(645\) | 1.92633 | − | 8.43981i | 0.0758492 | − | 0.332317i | ||||
\(646\) | −5.20660 | + | 10.8116i | −0.204851 | + | 0.425378i | ||||
\(647\) | 35.7296 | + | 17.2065i | 1.40468 | + | 0.676456i | 0.974104 | − | 0.226101i | \(-0.0725978\pi\) |
0.430571 | + | 0.902557i | \(0.358312\pi\) | |||||||
\(648\) | 40.8203 | − | 9.31696i | 1.60357 | − | 0.366005i | ||||
\(649\) | 0.657212 | + | 1.36471i | 0.0257978 | + | 0.0535697i | ||||
\(650\) | − | 36.9706i | − | 1.45010i | ||||||
\(651\) | −61.9592 | + | 29.8380i | −2.42837 | + | 1.16944i | ||||
\(652\) | 11.7600 | − | 9.37830i | 0.460558 | − | 0.367283i | ||||
\(653\) | 23.5661 | − | 18.7933i | 0.922212 | − | 0.735439i | −0.0424037 | − | 0.999101i | \(-0.513502\pi\) |
0.964615 | + | 0.263661i | \(0.0849301\pi\) | |||||||
\(654\) | 66.4641 | − | 32.0074i | 2.59895 | − | 1.25159i | ||||
\(655\) | 21.3137i | 0.832796i | ||||||||
\(656\) | 5.83827 | + | 12.1233i | 0.227946 | + | 0.473335i | ||||
\(657\) | −11.0301 | + | 2.51754i | −0.430323 | + | 0.0982185i | ||||
\(658\) | 19.9494 | + | 9.60711i | 0.777708 | + | 0.374524i | ||||
\(659\) | −6.25409 | + | 12.9868i | −0.243625 | + | 0.505892i | −0.986545 | − | 0.163487i | \(-0.947726\pi\) |
0.742921 | + | 0.669380i | \(0.233440\pi\) | |||||||
\(660\) | 0.851905 | − | 3.73244i | 0.0331604 | − | 0.145285i | ||||
\(661\) | 20.7708 | + | 26.0457i | 0.807889 | + | 1.01306i | 0.999501 | + | 0.0315898i | \(0.0100570\pi\) |
−0.191612 | + | 0.981471i | \(0.561372\pi\) | |||||||
\(662\) | 3.63396 | − | 4.55685i | 0.141238 | − | 0.177107i | ||||
\(663\) | 1.70381 | + | 7.46488i | 0.0661705 | + | 0.289912i | ||||
\(664\) | 32.9516 | + | 7.52098i | 1.27877 | + | 0.291871i | ||||
\(665\) | 13.2681 | + | 10.5810i | 0.514516 | + | 0.410313i | ||||
\(666\) | −27.3137 | −1.05838 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −12.1421 | −0.469793 | ||||||||
\(669\) | 5.98637 | + | 4.77397i | 0.231446 | + | 0.184572i | ||||
\(670\) | 13.3144 | + | 3.03894i | 0.514382 | + | 0.117404i | ||||
\(671\) | 0.445042 | + | 1.94986i | 0.0171807 | + | 0.0752733i | ||||
\(672\) | 6.75141 | − | 8.46601i | 0.260441 | − | 0.326583i | ||||
\(673\) | 13.4845 | + | 16.9090i | 0.519788 | + | 0.651794i | 0.970564 | − | 0.240843i | \(-0.0774240\pi\) |
−0.450776 | + | 0.892637i | \(0.648853\pi\) | |||||||
\(674\) | 11.7107 | − | 51.3079i | 0.451079 | − | 1.97631i | ||||
\(675\) | 0.718882 | − | 1.49277i | 0.0276698 | − | 0.0574569i | ||||
\(676\) | 5.71498 | + | 2.75219i | 0.219807 | + | 0.105853i | ||||
\(677\) | −21.4484 | + | 4.89546i | −0.824330 | + | 0.188148i | −0.613822 | − | 0.789444i | \(-0.710369\pi\) |
−0.210507 | + | 0.977592i | \(0.567512\pi\) | |||||||
\(678\) | 33.6685 | + | 69.9134i | 1.29303 | + | 2.68501i | ||||
\(679\) | − | 12.6863i | − | 0.486855i | ||||||
\(680\) | 3.29471 | − | 1.58665i | 0.126346 | − | 0.0608452i | ||||
\(681\) | −15.3683 | + | 12.2558i | −0.588916 | + | 0.469645i | ||||
\(682\) | −7.87388 | + | 6.27921i | −0.301506 | + | 0.240443i | ||||
\(683\) | −18.8938 | + | 9.09879i | −0.722952 | + | 0.348155i | −0.758908 | − | 0.651198i | \(-0.774267\pi\) |
0.0359558 | + | 0.999353i | \(0.488552\pi\) | |||||||
\(684\) | − | 64.9706i | − | 2.48421i | ||||||
\(685\) | 5.20660 | + | 10.8116i | 0.198934 | + | 0.413091i | ||||
\(686\) | 39.9433 | − | 9.11681i | 1.52504 | − | 0.348081i | ||||
\(687\) | 7.64497 | + | 3.68163i | 0.291674 | + | 0.140463i | ||||
\(688\) | −4.66744 | + | 9.69205i | −0.177945 | + | 0.369506i | ||||
\(689\) | −8.08056 | + | 35.4032i | −0.307845 | + | 1.34876i | ||||
\(690\) | 13.2889 | + | 16.6637i | 0.505899 | + | 0.634377i | ||||
\(691\) | 29.9275 | − | 37.5279i | 1.13850 | − | 1.42763i | 0.250298 | − | 0.968169i | \(-0.419471\pi\) |
0.888198 | − | 0.459460i | \(-0.151957\pi\) | |||||||
\(692\) | −10.5152 | − | 46.0701i | −0.399728 | − | 1.75132i | ||||
\(693\) | −3.23063 | − | 0.737370i | −0.122721 | − | 0.0280104i | ||||
\(694\) | −4.69099 | − | 3.74094i | −0.178068 | − | 0.142004i | ||||
\(695\) | 14.0000 | 0.531050 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −3.71573 | −0.140743 | ||||||||
\(698\) | −9.70582 | − | 7.74014i | −0.367371 | − | 0.292968i | ||||
\(699\) | 43.1047 | + | 9.83836i | 1.63037 | + | 0.372121i | ||||
\(700\) | 9.63821 | + | 42.2277i | 0.364290 | + | 1.59606i | ||||
\(701\) | 25.0099 | − | 31.3614i | 0.944609 | − | 1.18450i | −0.0380862 | − | 0.999274i | \(-0.512126\pi\) |
0.982696 | − | 0.185228i | \(-0.0593024\pi\) | |||||||
\(702\) | 2.38699 | + | 2.99318i | 0.0900910 | + | 0.112970i | ||||
\(703\) | 5.34050 | − | 23.3983i | 0.201421 | − | 0.882482i | ||||
\(704\) | 1.76637 | − | 3.66791i | 0.0665726 | − | 0.138239i | ||||
\(705\) | 7.05317 | + | 3.39663i | 0.265638 | + | 0.127924i | ||||
\(706\) | −63.4802 | + | 14.4889i | −2.38911 | + | 0.545298i | ||||
\(707\) | 2.87553 | + | 5.97110i | 0.108145 | + | 0.224566i | ||||
\(708\) | − | 33.7990i | − | 1.27024i | ||||||
\(709\) | 26.2562 | − | 12.6443i | 0.986071 | − | 0.474867i | 0.129882 | − | 0.991529i | \(-0.458540\pi\) |
0.856189 | + | 0.516663i | \(0.172826\pi\) | |||||||
\(710\) | −16.6637 | + | 13.2889i | −0.625379 | + | 0.498723i | ||||
\(711\) | 5.33868 | − | 4.25745i | 0.200216 | − | 0.159667i | ||||
\(712\) | −49.6548 | + | 23.9125i | −1.86089 | + | 0.896159i | ||||
\(713\) | − | 36.8284i | − | 1.37924i | ||||||
\(714\) | −5.92549 | − | 12.3044i | −0.221756 | − | 0.460481i | ||||
\(715\) | 1.54603 | − | 0.352871i | 0.0578181 | − | 0.0131966i | ||||
\(716\) | 22.3696 | + | 10.7727i | 0.835993 | + | 0.402593i | ||||
\(717\) | 20.5903 | − | 42.7562i | 0.768960 | − | 1.59676i | ||||
\(718\) | −2.11067 | + | 9.24747i | −0.0787696 | + | 0.345112i | ||||
\(719\) | −12.5584 | − | 15.7478i | −0.468350 | − | 0.587292i | 0.490416 | − | 0.871488i | \(-0.336845\pi\) |
−0.958766 | + | 0.284196i | \(0.908273\pi\) | |||||||
\(720\) | −5.29049 | + | 6.63406i | −0.197165 | + | 0.247237i | ||||
\(721\) | −3.03894 | − | 13.3144i | −0.113176 | − | 0.495856i | ||||
\(722\) | 40.0126 | + | 9.13262i | 1.48912 | + | 0.339881i | ||||
\(723\) | −34.5673 | − | 27.5665i | −1.28557 | − | 1.02521i | ||||
\(724\) | −31.8284 | −1.18289 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 63.1127 | 2.34233 | ||||||||
\(727\) | −1.02710 | − | 0.819084i | −0.0380930 | − | 0.0303781i | 0.604258 | − | 0.796789i | \(-0.293470\pi\) |
−0.642351 | + | 0.766410i | \(0.722041\pi\) | |||||||
\(728\) | −46.6006 | − | 10.6363i | −1.72713 | − | 0.394207i | ||||
\(729\) | −5.30232 | − | 23.2310i | −0.196382 | − | 0.860407i | ||||
\(730\) | −6.02095 | + | 7.55003i | −0.222845 | + | 0.279439i | ||||
\(731\) | −1.85212 | − | 2.32248i | −0.0685030 | − | 0.0859000i | ||||
\(732\) | 9.93053 | − | 43.5085i | 0.367043 | − | 1.60812i | ||||
\(733\) | −17.8998 | + | 37.1693i | −0.661144 | + | 1.37288i | 0.252990 | + | 0.967469i | \(0.418586\pi\) |
−0.914134 | + | 0.405411i | \(0.867128\pi\) | |||||||
\(734\) | −39.1524 | − | 18.8548i | −1.44514 | − | 0.695943i | ||||
\(735\) | −2.35368 | + | 0.537213i | −0.0868169 | + | 0.0198154i | ||||
\(736\) | 2.51609 | + | 5.22471i | 0.0927442 | + | 0.192585i | ||||
\(737\) | − | 2.34315i | − | 0.0863109i | ||||||
\(738\) | 27.5943 | − | 13.2887i | 1.01576 | − | 0.489165i | ||||
\(739\) | 3.18289 | − | 2.53827i | 0.117084 | − | 0.0933717i | −0.563197 | − | 0.826323i | \(-0.690429\pi\) |
0.680282 | + | 0.732951i | \(0.261857\pi\) | |||||||
\(740\) | −11.9727 | + | 9.54794i | −0.440127 | + | 0.350989i | ||||
\(741\) | 49.9640 | − | 24.0614i | 1.83547 | − | 0.883917i | ||||
\(742\) | − | 64.7696i | − | 2.37777i | ||||||
\(743\) | −10.2643 | − | 21.3141i | −0.376562 | − | 0.781938i | −1.00000 | 6.56698e-5i | \(-0.999979\pi\) | |
0.623438 | − | 0.781872i | \(-0.285735\pi\) | |||||||
\(744\) | 104.635 | − | 23.8823i | 3.83611 | − | 0.875566i | ||||
\(745\) | −7.05317 | − | 3.39663i | −0.258408 | − | 0.124443i | ||||
\(746\) | −27.5633 | + | 57.2358i | −1.00916 | + | 2.09555i | ||||
\(747\) | 4.81910 | − | 21.1139i | 0.176322 | − | 0.772516i | ||||
\(748\) | −0.819084 | − | 1.02710i | −0.0299487 | − | 0.0375544i | ||||
\(749\) | 26.1499 | − | 32.7909i | 0.955495 | − | 1.19815i | ||||
\(750\) | 11.6725 | + | 51.1407i | 0.426220 | + | 1.86739i | ||||
\(751\) | −24.6790 | − | 5.63283i | −0.900551 | − | 0.205545i | −0.252909 | − | 0.967490i | \(-0.581387\pi\) |
−0.647642 | + | 0.761945i | \(0.724245\pi\) | |||||||
\(752\) | −7.60560 | − | 6.06526i | −0.277348 | − | 0.221177i | ||||
\(753\) | −48.4558 | −1.76583 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 14.1421 | 0.514685 | ||||||||
\(756\) | −3.50673 | − | 2.79653i | −0.127539 | − | 0.101709i | ||||
\(757\) | 24.8750 | + | 5.67756i | 0.904098 | + | 0.206354i | 0.649204 | − | 0.760615i | \(-0.275102\pi\) |
0.254894 | + | 0.966969i | \(0.417959\pi\) | |||||||
\(758\) | 3.74468 | + | 16.4065i | 0.136013 | + | 0.595911i | ||||
\(759\) | 2.28001 | − | 2.85904i | 0.0827592 | − | 0.103777i | ||||
\(760\) | −16.5133 | − | 20.7070i | −0.599000 | − | 0.751123i | ||||
\(761\) | −10.1465 | + | 44.4547i | −0.367811 | + | 1.61148i | 0.364971 | + | 0.931019i | \(0.381079\pi\) |
−0.732781 | + | 0.680464i | \(0.761778\pi\) | |||||||
\(762\) | 10.9832 | − | 22.8069i | 0.397880 | − | 0.826205i | ||||
\(763\) | −32.2538 | − | 15.5326i | −1.16767 | − | 0.562318i | ||||
\(764\) | 94.4819 | − | 21.5649i | 3.41824 | − | 0.780190i | ||||
\(765\) | −1.01665 | − | 2.11110i | −0.0367572 | − | 0.0763270i | ||||
\(766\) | 8.48528i | 0.306586i | ||||||||
\(767\) | 12.6136 | − | 6.07437i | 0.455449 | − | 0.219333i | ||||
\(768\) | −56.5697 | + | 45.1128i | −2.04128 | + | 1.62787i | ||||
\(769\) | 38.3979 | − | 30.6213i | 1.38466 | − | 1.10423i | 0.402662 | − | 0.915349i | \(-0.368085\pi\) |
0.982000 | − | 0.188883i | \(-0.0604865\pi\) | |||||||
\(770\) | −2.54832 | + | 1.22721i | −0.0918353 | + | 0.0442255i | ||||
\(771\) | 43.8701i | 1.57994i | ||||||||
\(772\) | 8.59046 | + | 17.8383i | 0.309177 | + | 0.642014i | ||||
\(773\) | 19.0254 | − | 4.34243i | 0.684298 | − | 0.156186i | 0.133781 | − | 0.991011i | \(-0.457288\pi\) |
0.550516 | + | 0.834824i | \(0.314431\pi\) | |||||||
\(774\) | 22.0605 | + | 10.6238i | 0.792947 | + | 0.381863i | ||||
\(775\) | 17.4787 | − | 36.2949i | 0.627853 | − | 1.30375i | ||||
\(776\) | −4.40569 | + | 19.3026i | −0.158155 | + | 0.692923i | ||||
\(777\) | 17.0298 | + | 21.3547i | 0.610941 | + | 0.766096i | ||||
\(778\) | −4.56002 | + | 5.71809i | −0.163485 | + | 0.205003i | ||||
\(779\) | 5.98841 | + | 26.2370i | 0.214557 | + | 0.940037i | ||||
\(780\) | −34.4976 | − | 7.87385i | −1.23521 | − | 0.281929i | ||||
\(781\) | 2.85904 | + | 2.28001i | 0.102305 | + | 0.0815852i | ||||
\(782\) | 7.31371 | 0.261538 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 3.00000 | 0.107143 | ||||||||
\(785\) | 6.63406 | + | 5.29049i | 0.236780 | + | 0.188826i | ||||
\(786\) | −121.111 | − | 27.6428i | −4.31988 | − | 0.985984i | ||||
\(787\) | −12.0347 | − | 52.7273i | −0.428989 | − | 1.87952i | −0.473977 | − | 0.880537i | \(-0.657182\pi\) |
0.0449881 | − | 0.998988i | \(-0.485675\pi\) | |||||||
\(788\) | −4.77397 | + | 5.98637i | −0.170066 | + | 0.213256i | ||||
\(789\) | −4.15048 | − | 5.20454i | −0.147761 | − | 0.185286i | ||||
\(790\) | 1.29695 | − | 5.68230i | 0.0461433 | − | 0.202167i | ||||
\(791\) | 16.3387 | − | 33.9277i | 0.580937 | − | 1.20633i | ||||
\(792\) | 4.65943 | + | 2.24386i | 0.165565 | + | 0.0797321i | ||||
\(793\) | 18.0218 | − | 4.11336i | 0.639973 | − | 0.146070i | ||||
\(794\) | −20.2617 | − | 42.0739i | −0.719061 | − | 1.49315i | ||||
\(795\) | − | 22.8995i | − | 0.812161i | ||||||
\(796\) | −1.67388 | + | 0.806097i | −0.0593290 | + | 0.0285714i | ||||
\(797\) | 40.4521 | − | 32.2594i | 1.43289 | − | 1.14269i | 0.466832 | − | 0.884346i | \(-0.345395\pi\) |
0.966054 | − | 0.258342i | \(-0.0831760\pi\) | |||||||
\(798\) | −77.3323 | + | 61.6704i | −2.73753 | + | 2.18311i | ||||
\(799\) | 2.42027 | − | 1.16554i | 0.0856228 | − | 0.0412338i | ||||
\(800\) | 6.34315i | 0.224264i | ||||||||
\(801\) | 15.3220 | + | 31.8166i | 0.541378 | + | 1.12418i | ||||
\(802\) | −43.9123 | + | 10.0227i | −1.55060 | + | 0.353914i | ||||
\(803\) | 1.49277 | + | 0.718882i | 0.0526789 | + | 0.0253688i | ||||
\(804\) | −22.6853 | + | 47.1065i | −0.800049 | + | 1.66132i | ||||
\(805\) | 2.30157 | − | 10.0838i | 0.0811196 | − | 0.355408i | ||||
\(806\) | 58.0365 | + | 72.7754i | 2.04425 | + | 2.56340i | ||||
\(807\) | 47.3485 | − | 59.3732i | 1.66675 | − | 2.09003i | ||||
\(808\) | −2.30157 | − | 10.0838i | −0.0809688 | − | 0.354748i | ||||
\(809\) | −35.3745 | − | 8.07401i | −1.24370 | − | 0.283867i | −0.450473 | − | 0.892790i | \(-0.648745\pi\) |
−0.793230 | + | 0.608923i | \(0.791602\pi\) | |||||||
\(810\) | −17.9035 | − | 14.2776i | −0.629066 | − | 0.501664i | ||||
\(811\) | −10.8284 | −0.380238 | −0.190119 | − | 0.981761i | \(-0.560887\pi\) | ||||
−0.190119 | + | 0.981761i | \(0.560887\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 39.9706 | 1.40183 | ||||||||
\(814\) | 3.12733 | + | 2.49396i | 0.109613 | + | 0.0874132i | ||||
\(815\) | −3.83043 | − | 0.874270i | −0.134174 | − | 0.0306243i | ||||
\(816\) | 1.33513 | + | 5.84957i | 0.0467387 | + | 0.204776i | ||||
\(817\) | −13.4142 | + | 16.8209i | −0.469304 | + | 0.588488i | ||||
\(818\) | −28.5552 | − | 35.8071i | −0.998409 | − | 1.25197i | ||||
\(819\) | −6.81524 | + | 29.8595i | −0.238144 | + | 1.04338i | ||||
\(820\) | 7.45047 | − | 15.4711i | 0.260182 | − | 0.540273i | ||||
\(821\) | −1.33819 | − | 0.644439i | −0.0467032 | − | 0.0224911i | 0.410386 | − | 0.911912i | \(-0.365394\pi\) |
−0.457090 | + | 0.889421i | \(0.651108\pi\) | |||||||
\(822\) | −68.1876 | + | 15.5634i | −2.37831 | + | 0.542835i | ||||
\(823\) | −23.5531 | − | 48.9084i | −0.821008 | − | 1.70484i | −0.702265 | − | 0.711916i | \(-0.747828\pi\) |
−0.118744 | − | 0.992925i | \(-0.537887\pi\) | |||||||
\(824\) | 21.3137i | 0.742498i | ||||||||
\(825\) | 3.60388 | − | 1.73553i | 0.125471 | − | 0.0604236i | ||||
\(826\) | −19.5228 | + | 15.5689i | −0.679284 | + | 0.541711i | ||||
\(827\) | −25.7219 | + | 20.5125i | −0.894437 | + | 0.713289i | −0.958632 | − | 0.284648i | \(-0.908123\pi\) |
0.0641954 | + | 0.997937i | \(0.479552\pi\) | |||||||
\(828\) | −35.6765 | + | 17.1809i | −1.23985 | + | 0.597078i | ||||
\(829\) | 29.7990i | 1.03496i | 0.855695 | + | 0.517481i | \(0.173130\pi\) | ||||
−0.855695 | + | 0.517481i | \(0.826870\pi\) | |||||||
\(830\) | −8.02046 | − | 16.6547i | −0.278394 | − | 0.578092i | ||||
\(831\) | 40.7510 | − | 9.30115i | 1.41364 | − | 0.322653i | ||||
\(832\) | −33.9011 | − | 16.3259i | −1.17531 | − | 0.566000i | ||||
\(833\) | −0.359441 | + | 0.746387i | −0.0124539 | + | 0.0258608i | ||||
\(834\) | −18.1573 | + | 79.5521i | −0.628734 | + | 2.75467i | ||||
\(835\) | 1.97744 | + | 2.47964i | 0.0684322 | + | 0.0858113i | ||||
\(836\) | −5.93233 | + | 7.43891i | −0.205174 | + | 0.257280i | ||||
\(837\) | 0.928262 | + | 4.06698i | 0.0320854 | + | 0.140575i | ||||
\(838\) | −22.3946 | − | 5.11143i | −0.773610 | − | 0.176571i | ||||
\(839\) | −6.19909 | − | 4.94361i | −0.214016 | − | 0.170672i | 0.510614 | − | 0.859810i | \(-0.329418\pi\) |
−0.724630 | + | 0.689138i | \(0.757990\pi\) | |||||||
\(840\) | 30.1421 | 1.04000 | ||||||||
\(841\) | 0 | 0 | ||||||||
\(842\) | −89.5980 | −3.08775 | ||||||||
\(843\) | −60.3447 | − | 48.1233i | −2.07838 | − | 1.65745i | ||||
\(844\) | −72.3525 | − | 16.5140i | −2.49048 | − | 0.568435i | ||||
\(845\) | −0.368685 | − | 1.61531i | −0.0126831 | − | 0.0555685i | ||||
\(846\) | −13.8054 | + | 17.3114i | −0.474639 | + | 0.595179i | ||||
\(847\) | −19.0959 | − | 23.9455i | −0.656142 | − | 0.822776i | ||||
\(848\) | −6.33202 | + | 27.7424i | −0.217442 | + | 0.952678i | ||||
\(849\) | 12.2104 | − | 25.3552i | 0.419060 | − | 0.870188i | ||||
\(850\) | 7.20775 | + | 3.47107i | 0.247224 | + | 0.119057i | ||||
\(851\) | −14.2607 | + | 3.25491i | −0.488850 | + | 0.111577i | ||||
\(852\) | −35.4040 | − | 73.5172i | −1.21292 | − | 2.51866i | ||||
\(853\) | − | 22.9706i | − | 0.786497i | −0.919432 | − | 0.393249i | \(-0.871351\pi\) | ||
0.919432 | − | 0.393249i | \(-0.128649\pi\) | |||||||
\(854\) | −29.7055 | + | 14.3054i | −1.01650 | + | 0.489520i | ||||
\(855\) | −13.2681 | + | 10.5810i | −0.453760 | + | 0.361862i | ||||
\(856\) | −51.1754 | + | 40.8111i | −1.74914 | + | 1.39489i | ||||
\(857\) | 5.56040 | − | 2.67775i | 0.189939 | − | 0.0914700i | −0.336497 | − | 0.941685i | \(-0.609242\pi\) |
0.526436 | + | 0.850215i | \(0.323528\pi\) | |||||||
\(858\) | 9.24264i | 0.315539i | ||||||||
\(859\) | −8.55962 | − | 17.7742i | −0.292051 | − | 0.606449i | 0.702385 | − | 0.711797i | \(-0.252119\pi\) |
−0.994435 | + | 0.105348i | \(0.966404\pi\) | |||||||
\(860\) | 13.3837 | − | 3.05475i | 0.456382 | − | 0.104166i | ||||
\(861\) | −27.5943 | − | 13.2887i | −0.940413 | − | 0.452879i | ||||
\(862\) | 20.5903 | − | 42.7562i | 0.701309 | − | 1.45628i | ||||
\(863\) | 3.80793 | − | 16.6836i | 0.129624 | − | 0.567918i | −0.867847 | − | 0.496832i | \(-0.834496\pi\) |
0.997470 | − | 0.0710858i | \(-0.0226464\pi\) | |||||||
\(864\) | −0.409542 | − | 0.513549i | −0.0139329 | − | 0.0174713i | ||||
\(865\) | −7.69583 | + | 9.65026i | −0.261666 | + | 0.328119i | ||||
\(866\) | 16.4534 | + | 72.0873i | 0.559111 | + | 2.44963i | ||||
\(867\) | 38.3973 | + | 8.76394i | 1.30404 | + | 0.297639i | ||||
\(868\) | −85.2617 | − | 67.9939i | −2.89397 | − | 2.30786i | ||||
\(869\) | −1.00000 | −0.0339227 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −21.6569 | −0.733815 | ||||||||
\(872\) | 43.6810 | + | 34.8344i | 1.47922 | + | 1.17964i | ||||
\(873\) | 12.3682 | + | 2.82297i | 0.418601 | + | 0.0955429i | ||||
\(874\) | −11.7871 | − | 51.6425i | −0.398703 | − | 1.74683i | ||||
\(875\) | 15.8715 | − | 19.9022i | 0.536553 | − | 0.672816i | ||||
\(876\) | −23.0508 | − | 28.9047i | −0.778813 | − | 0.976601i | ||||
\(877\) | 8.26490 | − | 36.2109i | 0.279086 | − | 1.22276i | −0.619866 | − | 0.784708i | \(-0.712813\pi\) |
0.898952 | − | 0.438048i | \(-0.144330\pi\) | |||||||
\(878\) | 0.359441 | − | 0.746387i | 0.0121305 | − | 0.0251893i | ||||
\(879\) | 16.6547 | + | 8.02046i | 0.561748 | + | 0.270524i | ||||
\(880\) | 1.21149 | − | 0.276514i | 0.0408392 | − | 0.00932127i | ||||
\(881\) | 6.07437 | + | 12.6136i | 0.204651 | + | 0.424962i | 0.977881 | − | 0.209164i | \(-0.0670743\pi\) |
−0.773230 | + | 0.634126i | \(0.781360\pi\) | |||||||
\(882\) | − | 6.82843i | − | 0.229925i | ||||||
\(883\) | 34.6210 | − | 16.6726i | 1.16509 | − | 0.561077i | 0.251557 | − | 0.967843i | \(-0.419058\pi\) |
0.913533 | + | 0.406765i | \(0.133343\pi\) | |||||||
\(884\) | −9.49310 | + | 7.57050i | −0.319288 | + | 0.254623i | ||||
\(885\) | −6.90234 | + | 5.50443i | −0.232020 | + | 0.185030i | ||||
\(886\) | −52.9495 | + | 25.4992i | −1.77887 | + | 0.856661i | ||||
\(887\) | − | 17.1005i | − | 0.574179i | −0.957904 | − | 0.287089i | \(-0.907312\pi\) | ||
0.957904 | − | 0.287089i | \(-0.0926877\pi\) | |||||||
\(888\) | −18.4953 | − | 38.4060i | −0.620663 | − | 1.28882i | ||||
\(889\) | −11.9763 | + | 2.73351i | −0.401672 | + | 0.0916789i | ||||
\(890\) | 27.1571 | + | 13.0782i | 0.910309 | + | 0.438382i | ||||
\(891\) | −1.70470 | + | 3.53985i | −0.0571096 | + | 0.118589i | ||||
\(892\) | −2.70188 | + | 11.8377i | −0.0904656 | + | 0.396356i | ||||
\(893\) | −12.1305 | − | 15.2112i | −0.405932 | − | 0.509023i | ||||
\(894\) | 28.4482 | − | 35.6730i | 0.951451 | − | 1.19308i | ||||
\(895\) | −1.44311 | − | 6.32268i | −0.0482379 | − | 0.211344i | ||||
\(896\) | 56.6844 | + | 12.9378i | 1.89369 | + | 0.432223i | ||||
\(897\) | −26.4251 | − | 21.0733i | −0.882309 | − | 0.703618i | ||||
\(898\) | −84.4264 | −2.81735 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −43.3137 | −1.44379 | ||||||||
\(901\) | −6.14353 | − | 4.89930i | −0.204671 | − | 0.163219i | ||||
\(902\) | −4.37283 | − | 0.998069i | −0.145599 | − | 0.0332321i | ||||
\(903\) | −5.44849 | − | 23.8714i | −0.181314 | − | 0.794390i | ||||
\(904\) | −36.6422 | + | 45.9479i | −1.21870 | + | 1.52820i | ||||
\(905\) | 5.18351 | + | 6.49992i | 0.172306 | + | 0.216065i | ||||
\(906\) | −18.3416 | + | 80.3598i | −0.609359 | + | 2.66978i | ||||
\(907\) | 9.66878 | − | 20.0774i | 0.321047 | − | 0.666660i | −0.676517 | − | 0.736427i | \(-0.736511\pi\) |
0.997563 | + | 0.0697671i | \(0.0222256\pi\) | |||||||
\(908\) | −28.0846 | − | 13.5248i | −0.932021 | − | 0.448838i | ||||
\(909\) | −6.46125 | + | 1.47474i | −0.214306 | + | 0.0489140i | ||||
\(910\) | 11.3426 | + | 23.5533i | 0.376005 | + | 0.780783i | ||||
\(911\) | − | 15.4437i | − | 0.511671i | −0.966720 | − | 0.255835i | \(-0.917649\pi\) | ||
0.966720 | − | 0.255835i | \(-0.0823505\pi\) | |||||||
\(912\) | 39.1524 | − | 18.8548i | 1.29646 | − | 0.624344i | ||||
\(913\) | −2.47964 | + | 1.97744i | −0.0820640 | + | 0.0654438i | ||||
\(914\) | 1.94307 | − | 1.54955i | 0.0642711 | − | 0.0512545i | ||||
\(915\) | −10.5025 | + | 5.05772i | −0.347201 | + | 0.167203i | ||||
\(916\) | 13.4558i | 0.444594i | ||||||||
\(917\) | 26.1564 | + | 54.3143i | 0.863759 | + | 1.79361i | ||||
\(918\) | −0.807657 | + | 0.184342i | −0.0266566 | + | 0.00608421i | ||||
\(919\) | −7.33581 | − | 3.53274i | −0.241986 | − | 0.116534i | 0.308960 | − | 0.951075i | \(-0.400019\pi\) |
−0.550947 | + | 0.834541i | \(0.685733\pi\) | |||||||
\(920\) | −7.00381 | + | 14.5436i | −0.230909 | + | 0.479487i | ||||
\(921\) | 1.55765 | − | 6.82450i | 0.0513262 | − | 0.224875i | ||||
\(922\) | −21.0733 | − | 26.4251i | −0.694013 | − | 0.870265i | ||||
\(923\) | 21.0733 | − | 26.4251i | 0.693637 | − | 0.869793i | ||||
\(924\) | −2.40955 | − | 10.5569i | −0.0792684 | − | 0.347298i | ||||
\(925\) | −15.5988 | − | 3.56033i | −0.512887 | − | 0.117063i | ||||
\(926\) | 49.0752 | + | 39.1362i | 1.61271 | + | 1.28609i | ||||
\(927\) | 13.6569 | 0.448550 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 18.6863 | 0.613077 | 0.306539 | − | 0.951858i | \(-0.400829\pi\) | ||||
0.306539 | + | 0.951858i | \(0.400829\pi\) | |||||||
\(930\) | −45.8923 | − | 36.5979i | −1.50487 | − | 1.20009i | ||||
\(931\) | 5.84957 | + | 1.33513i | 0.191712 | + | 0.0437570i | ||||
\(932\) | 15.6015 | + | 68.3548i | 0.511046 | + | 2.23904i | ||||
\(933\) | −4.04351 | + | 5.07040i | −0.132378 | + | 0.165997i | ||||
\(934\) | −57.7339 | − | 72.3960i | −1.88911 | − | 2.36887i | ||||
\(935\) | −0.0763571 | + | 0.334542i | −0.00249714 | + | 0.0109407i | ||||
\(936\) | 20.7392 | − | 43.0654i | 0.677882 | − | 1.40764i | ||||
\(937\) | −14.9808 | − | 7.21437i | −0.489401 | − | 0.235683i | 0.172874 | − | 0.984944i | \(-0.444695\pi\) |
−0.662275 | + | 0.749261i | \(0.730409\pi\) | |||||||
\(938\) | 37.6589 | − | 8.59541i | 1.22961 | − | 0.280650i | ||||
\(939\) | 10.2952 | + | 21.3781i | 0.335970 | + | 0.697649i | ||||
\(940\) | 12.4142i | 0.404907i | ||||||||
\(941\) | −50.9930 | + | 24.5569i | −1.66232 | + | 0.800533i | −0.663706 | + | 0.747994i | \(0.731017\pi\) |
−0.998619 | + | 0.0525400i | \(0.983268\pi\) | |||||||
\(942\) | −38.6661 | + | 30.8352i | −1.25981 | + | 1.00467i | ||||
\(943\) | 12.8236 | − | 10.2265i | 0.417594 | − | 0.333020i | ||||
\(944\) | 9.88414 | − | 4.75995i | 0.321701 | − | 0.154923i | ||||
\(945\) | 1.17157i | 0.0381113i | ||||||||
\(946\) | −1.55581 | − | 3.23068i | −0.0505839 | − | 0.105039i | ||||
\(947\) | −2.54965 | + | 0.581942i | −0.0828526 | + | 0.0189106i | −0.263746 | − | 0.964592i | \(-0.584958\pi\) |
0.180894 | + | 0.983503i | \(0.442101\pi\) | |||||||
\(948\) | 20.1040 | + | 9.68156i | 0.652946 | + | 0.314442i | ||||
\(949\) | 6.64437 | − | 13.7972i | 0.215685 | − | 0.447875i | ||||
\(950\) | 12.8931 | − | 56.4884i | 0.418308 | − | 1.83273i | ||||
\(951\) | −47.3485 | − | 59.3732i | −1.53538 | − | 1.92531i | ||||
\(952\) | 6.44885 | − | 8.08660i | 0.209008 | − | 0.262088i | ||||
\(953\) | 7.92785 | + | 34.7342i | 0.256808 | + | 1.12515i | 0.924641 | + | 0.380839i | \(0.124365\pi\) |
−0.667833 | + | 0.744311i | \(0.732778\pi\) | |||||||
\(954\) | 63.1456 | + | 14.4126i | 2.04442 | + | 0.466625i | ||||
\(955\) | −19.7911 | − | 15.7828i | −0.640423 | − | 0.510721i | ||||
\(956\) | 75.2548 | 2.43392 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −16.6569 | −0.538159 | ||||||||
\(959\) | 26.5362 | + | 21.1619i | 0.856900 | + | 0.683355i | ||||
\(960\) | 23.1330 | + | 5.27996i | 0.746615 | + | 0.170410i | ||||
\(961\) | 15.6713 | + | 68.6607i | 0.505527 | + | 2.21486i | ||||
\(962\) | 23.0508 | − | 28.9047i | 0.743187 | − | 0.931927i | ||||
\(963\) | 26.1499 | + | 32.7909i | 0.842668 | + | 1.05667i | ||||
\(964\) | 15.6015 | − | 68.3548i | 0.502492 | − | 2.20156i | ||||
\(965\) | 2.24386 | − | 4.65943i | 0.0722325 | − | 0.149992i | ||||
\(966\) | 54.3143 | + | 26.1564i | 1.74753 | + | 0.841567i | ||||
\(967\) | −34.3590 | + | 7.84223i | −1.10491 | + | 0.252189i | −0.735802 | − | 0.677197i | \(-0.763195\pi\) |
−0.369110 | + | 0.929386i | \(0.620337\pi\) | |||||||
\(968\) | 20.7392 | + | 43.0654i | 0.666583 | + | 1.38417i | ||||
\(969\) | 12.0000i | 0.385496i | ||||||||
\(970\) | 9.75608 | − | 4.69828i | 0.313249 | − | 0.150853i | ||||
\(971\) | −12.2410 | + | 9.76189i | −0.392833 | + | 0.313274i | −0.799910 | − | 0.600120i | \(-0.795120\pi\) |
0.407077 | + | 0.913394i | \(0.366548\pi\) | |||||||
\(972\) | 64.8230 | − | 51.6946i | 2.07920 | − | 1.65810i | ||||
\(973\) | 35.6765 | − | 17.1809i | 1.14374 | − | 0.550795i | ||||
\(974\) | − | 27.7990i | − | 0.890737i | ||||||
\(975\) | −16.0409 | − | 33.3093i | −0.513721 | − | 1.06675i | ||||
\(976\) | 14.1221 | − | 3.22328i | 0.452038 | − | 0.103175i | ||||
\(977\) | −32.5895 | − | 15.6943i | −1.04263 | − | 0.502104i | −0.167439 | − | 0.985882i | \(-0.553550\pi\) |
−0.875190 | + | 0.483779i | \(0.839264\pi\) | |||||||
\(978\) | 9.93572 | − | 20.6317i | 0.317709 | − | 0.659730i | ||||
\(979\) | 1.15078 | − | 5.04191i | 0.0367792 | − | 0.161140i | ||||
\(980\) | −2.38699 | − | 2.99318i | −0.0762494 | − | 0.0956138i | ||||
\(981\) | 22.3203 | − | 27.9888i | 0.712632 | − | 0.893613i | ||||
\(982\) | −11.4118 | − | 49.9985i | −0.364166 | − | 1.59552i | ||||
\(983\) | 21.3217 | + | 4.86655i | 0.680058 | + | 0.155219i | 0.548577 | − | 0.836100i | \(-0.315170\pi\) |
0.131481 | + | 0.991319i | \(0.458027\pi\) | |||||||
\(984\) | 37.3708 | + | 29.8022i | 1.19134 | + | 0.950059i | ||||
\(985\) | 2.00000 | 0.0637253 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 22.1421 | 0.704792 | ||||||||
\(988\) | 68.7551 | + | 54.8304i | 2.18739 | + | 1.74439i | ||||
\(989\) | 12.7839 | + | 2.91785i | 0.406506 | + | 0.0927822i | ||||
\(990\) | −0.629384 | − | 2.75751i | −0.0200031 | − | 0.0876395i | ||||
\(991\) | 7.99839 | − | 10.0297i | 0.254077 | − | 0.318603i | −0.638392 | − | 0.769712i | \(-0.720400\pi\) |
0.892469 | + | 0.451109i | \(0.148971\pi\) | |||||||
\(992\) | −9.95748 | − | 12.4863i | −0.316150 | − | 0.396440i | ||||
\(993\) | 1.29695 | − | 5.68230i | 0.0411574 | − | 0.180322i | ||||
\(994\) | −26.1564 | + | 54.3143i | −0.829630 | + | 1.72274i | ||||
\(995\) | 0.437223 | + | 0.210556i | 0.0138609 | + | 0.00667506i | ||||
\(996\) | 68.9952 | − | 15.7477i | 2.18620 | − | 0.498985i | ||||
\(997\) | 12.2721 | + | 25.4832i | 0.388661 | + | 0.807063i | 0.999878 | + | 0.0155999i | \(0.00496579\pi\) |
−0.611217 | + | 0.791463i | \(0.709320\pi\) | |||||||
\(998\) | − | 45.7990i | − | 1.44974i | ||||||
\(999\) | 1.49277 | − | 0.718882i | 0.0472293 | − | 0.0227444i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))