Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [841,2,Mod(190,841)]
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([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("841.190");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 841 = 29^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 841.d (of order \(7\), 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: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{7})\) |
Coefficient field: | 12.0.74049191673856.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} + 2x^{10} + 4x^{8} + 8x^{6} + 16x^{4} + 32x^{2} + 64 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 29) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 574.1 | ||
Root | \(1.27416 - 0.613604i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 841.574 |
Dual form | 841.2.d.j.778.1 |
$q$-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 \(\left(\mathbb{Z}/841\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.50524 | + | 1.88751i | −1.06436 | + | 1.33467i | −0.124843 | + | 0.992176i | \(0.539843\pi\) |
−0.939520 | + | 0.342493i | \(0.888729\pi\) | |||||||
\(3\) | −0.537213 | + | 2.35368i | −0.310160 | + | 1.35890i | 0.544085 | + | 0.839030i | \(0.316877\pi\) |
−0.854245 | + | 0.519870i | \(0.825980\pi\) | |||||||
\(4\) | −0.851905 | − | 3.73244i | −0.425953 | − | 1.86622i | ||||
\(5\) | −0.623490 | + | 0.781831i | −0.278833 | + | 0.349646i | −0.901452 | − | 0.432880i | \(-0.857497\pi\) |
0.622619 | + | 0.782526i | \(0.286069\pi\) | |||||||
\(6\) | −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 | \(-0.108080\pi\) | |||||||
\(8\) | 3.97707 | + | 1.91526i | 1.40611 | + | 0.677145i | ||||
\(9\) | −2.54832 | − | 1.22721i | −0.849442 | − | 0.409070i | ||||
\(10\) | −0.537213 | − | 2.35368i | −0.169882 | − | 0.744300i | ||||
\(11\) | 0.373194 | − | 0.179721i | 0.112522 | − | 0.0541878i | −0.376776 | − | 0.926304i | \(-0.622967\pi\) |
0.489298 | + | 0.872117i | \(0.337253\pi\) | |||||||
\(12\) | 9.24264 | 2.66812 | ||||||||
\(13\) | 3.44929 | − | 1.66109i | 0.956662 | − | 0.460704i | 0.110645 | − | 0.993860i | \(-0.464708\pi\) |
0.846017 | + | 0.533156i | \(0.178994\pi\) | |||||||
\(14\) | 4.25745 | + | 5.33868i | 1.13785 | + | 1.42682i | ||||
\(15\) | −1.50524 | − | 1.88751i | −0.388651 | − | 0.487353i | ||||
\(16\) | −2.70291 | + | 1.30165i | −0.675727 | + | 0.325413i | ||||
\(17\) | 0.828427 | 0.200923 | 0.100462 | − | 0.994941i | \(-0.467968\pi\) | ||||
0.100462 | + | 0.994941i | \(0.467968\pi\) | |||||||
\(18\) | 6.15220 | − | 2.96274i | 1.45009 | − | 0.698325i | ||||
\(19\) | −1.33513 | − | 5.84957i | −0.306299 | − | 1.34198i | −0.860436 | − | 0.509558i | \(-0.829809\pi\) |
0.554138 | − | 0.832425i | \(-0.313048\pi\) | |||||||
\(20\) | 3.44929 | + | 1.66109i | 0.771286 | + | 0.371432i | ||||
\(21\) | 6.15220 | + | 2.96274i | 1.34252 | + | 0.646524i | ||||
\(22\) | −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 | ||||
\(26\) | −2.05668 | + | 9.01091i | −0.403348 | + | 1.76718i | ||||
\(27\) | −0.258258 | + | 0.323845i | −0.0497018 | + | 0.0623240i | ||||
\(28\) | −10.8284 | −2.04638 | ||||||||
\(29\) | 0 | 0 | ||||||||
\(30\) | 5.82843 | 1.06412 | ||||||||
\(31\) | 6.27921 | − | 7.87388i | 1.12778 | − | 1.41419i | 0.230307 | − | 0.973118i | \(-0.426027\pi\) |
0.897472 | − | 0.441072i | \(-0.145402\pi\) | |||||||
\(32\) | −0.352871 | + | 1.54603i | −0.0623793 | + | 0.273302i | ||||
\(33\) | 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 | ||||
\(37\) | 3.60388 | + | 1.73553i | 0.592473 | + | 0.285320i | 0.705997 | − | 0.708215i | \(-0.250499\pi\) |
−0.113523 | + | 0.993535i | \(0.536214\pi\) | |||||||
\(38\) | 13.0508 | + | 6.28493i | 2.11712 | + | 1.01955i | ||||
\(39\) | 2.05668 | + | 9.01091i | 0.329333 | + | 1.44290i | ||||
\(40\) | −3.97707 | + | 1.91526i | −0.628830 | + | 0.302828i | ||||
\(41\) | −4.48528 | −0.700483 | −0.350242 | − | 0.936659i | \(-0.613901\pi\) | ||||
−0.350242 | + | 0.936659i | \(0.613901\pi\) | |||||||
\(42\) | −14.8527 | + | 7.15270i | −2.29183 | + | 1.10368i | ||||
\(43\) | 2.23570 | + | 2.80348i | 0.340941 | + | 0.427527i | 0.922512 | − | 0.385969i | \(-0.126133\pi\) |
−0.581570 | + | 0.813496i | \(0.697562\pi\) | |||||||
\(44\) | −0.988722 | − | 1.23982i | −0.149055 | − | 0.186910i | ||||
\(45\) | 2.54832 | − | 1.22721i | 0.379882 | − | 0.182941i | ||||
\(46\) | −8.82843 | −1.30168 | ||||||||
\(47\) | 2.92152 | − | 1.40693i | 0.426147 | − | 0.205222i | −0.208502 | − | 0.978022i | \(-0.566859\pi\) |
0.634649 | + | 0.772800i | \(0.281145\pi\) | |||||||
\(48\) | −1.61164 | − | 7.06105i | −0.232620 | − | 1.01918i | ||||
\(49\) | −0.900969 | − | 0.433884i | −0.128710 | − | 0.0619834i | ||||
\(50\) | −8.70053 | − | 4.18995i | −1.23044 | − | 0.592549i | ||||
\(51\) | −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 | ||||
\(55\) | −0.0921712 | + | 0.403828i | −0.0124284 | + | 0.0544522i | ||||
\(56\) | 7.78445 | − | 9.76139i | 1.04024 | − | 1.30442i | ||||
\(57\) | 14.4853 | 1.91862 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −3.65685 | −0.476082 | −0.238041 | − | 0.971255i | \(-0.576505\pi\) | ||||
−0.238041 | + | 0.971255i | \(0.576505\pi\) | |||||||
\(60\) | −5.76269 | + | 7.22619i | −0.743960 | + | 0.932897i | ||||
\(61\) | 1.07443 | − | 4.70737i | 0.137566 | − | 0.602717i | −0.858400 | − | 0.512982i | \(-0.828541\pi\) |
0.995966 | − | 0.0897350i | \(-0.0286020\pi\) | |||||||
\(62\) | 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 | ||||
\(66\) | −2.17513 | − | 1.04749i | −0.267740 | − | 0.128937i | ||||
\(67\) | −5.09665 | − | 2.45442i | −0.622655 | − | 0.299855i | 0.0958296 | − | 0.995398i | \(-0.469450\pi\) |
−0.718484 | + | 0.695543i | \(0.755164\pi\) | |||||||
\(68\) | −0.705741 | − | 3.09205i | −0.0855837 | − | 0.374967i | ||||
\(69\) | −7.95414 | + | 3.83051i | −0.957566 | + | 0.461139i | ||||
\(70\) | −6.82843 | −0.816153 | ||||||||
\(71\) | 7.95414 | − | 3.83051i | 0.943983 | − | 0.454598i | 0.102410 | − | 0.994742i | \(-0.467345\pi\) |
0.841572 | + | 0.540144i | \(0.181630\pi\) | |||||||
\(72\) | −7.78445 | − | 9.76139i | −0.917406 | − | 1.15039i | ||||
\(73\) | 2.49396 | + | 3.12733i | 0.291896 | + | 0.366026i | 0.906058 | − | 0.423154i | \(-0.139077\pi\) |
−0.614162 | + | 0.789180i | \(0.710506\pi\) | |||||||
\(74\) | −8.70053 | + | 4.18995i | −1.01142 | + | 0.487072i | ||||
\(75\) | −9.65685 | −1.11508 | ||||||||
\(76\) | −20.6958 | + | 9.96655i | −2.37397 | + | 1.14324i | ||||
\(77\) | −0.260699 | − | 1.14220i | −0.0297095 | − | 0.130166i | ||||
\(78\) | −20.1040 | − | 9.68156i | −2.27632 | − | 1.09622i | ||||
\(79\) | 2.17513 | + | 1.04749i | 0.244721 | + | 0.117852i | 0.552224 | − | 0.833695i | \(-0.313779\pi\) |
−0.307503 | + | 0.951547i | \(0.599493\pi\) | |||||||
\(80\) | 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 | \(-0.209477\pi\) | |||||||
\(84\) | 5.81717 | − | 25.4867i | 0.634706 | − | 2.78083i | ||||
\(85\) | −0.516516 | + | 0.647690i | −0.0560240 | + | 0.0702519i | ||||
\(86\) | −8.65685 | −0.933493 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.82843 | 0.194911 | ||||||||
\(89\) | −7.78445 | + | 9.76139i | −0.825150 | + | 1.03470i | 0.173605 | + | 0.984815i | \(0.444458\pi\) |
−0.998755 | + | 0.0498895i | \(0.984113\pi\) | |||||||
\(90\) | −1.51947 | + | 6.65722i | −0.160166 | + | 0.701733i | ||||
\(91\) | −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 | ||||
\(95\) | 5.40581 | + | 2.60330i | 0.554625 | + | 0.267093i | ||||
\(96\) | −3.44929 | − | 1.66109i | −0.352042 | − | 0.169535i | ||||
\(97\) | −0.998069 | − | 4.37283i | −0.101339 | − | 0.443993i | −0.999986 | − | 0.00532129i | \(-0.998306\pi\) |
0.898647 | − | 0.438672i | \(-0.144551\pi\) | |||||||
\(98\) | 2.17513 | − | 1.04749i | 0.219721 | − | 0.105812i | ||||
\(99\) | −1.17157 | −0.117748 | ||||||||
\(100\) | 13.7972 | − | 6.64437i | 1.37972 | − | 0.664437i | ||||
\(101\) | −1.46093 | − | 1.83195i | −0.145368 | − | 0.182285i | 0.703817 | − | 0.710381i | \(-0.251478\pi\) |
−0.849185 | + | 0.528096i | \(0.822906\pi\) | |||||||
\(102\) | −3.01048 | − | 3.77502i | −0.298081 | − | 0.373782i | ||||
\(103\) | 4.35026 | − | 2.09498i | 0.428644 | − | 0.206424i | −0.207107 | − | 0.978318i | \(-0.566405\pi\) |
0.635751 | + | 0.771894i | \(0.280691\pi\) | |||||||
\(104\) | 16.8995 | 1.65713 | ||||||||
\(105\) | −6.15220 | + | 2.96274i | −0.600393 | + | 0.289134i | ||||
\(106\) | 5.09562 | + | 22.3254i | 0.494930 | + | 2.16843i | ||||
\(107\) | 13.3600 | + | 6.43381i | 1.29156 | + | 0.621980i | 0.948334 | − | 0.317274i | \(-0.102768\pi\) |
0.343221 | + | 0.939255i | \(0.388482\pi\) | |||||||
\(108\) | 1.42874 | + | 0.688047i | 0.137481 | + | 0.0662073i | ||||
\(109\) | −2.81642 | + | 12.3395i | −0.269764 | + | 1.18191i | 0.640525 | + | 0.767937i | \(0.278717\pi\) |
−0.910289 | + | 0.413974i | \(0.864140\pi\) | |||||||
\(110\) | −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 | ||||
\(113\) | 2.96258 | − | 12.9799i | 0.278696 | − | 1.22105i | −0.620748 | − | 0.784010i | \(-0.713171\pi\) |
0.899444 | − | 0.437037i | \(-0.143972\pi\) | |||||||
\(114\) | −21.8038 | + | 27.3411i | −2.04211 | + | 2.56073i | ||||
\(115\) | −3.65685 | −0.341003 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −10.8284 | −1.00109 | ||||||||
\(118\) | 5.50443 | − | 6.90234i | 0.506724 | − | 0.635412i | ||||
\(119\) | 0.521399 | − | 2.28440i | 0.0477966 | − | 0.209410i | ||||
\(120\) | −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 | ||||
\(124\) | −34.7381 | − | 16.7290i | −3.11957 | − | 1.50231i | ||||
\(125\) | −8.10872 | − | 3.90495i | −0.725266 | − | 0.349270i | ||||
\(126\) | −4.29770 | − | 18.8295i | −0.382870 | − | 1.67746i | ||||
\(127\) | 3.91304 | − | 1.88442i | 0.347226 | − | 0.167215i | −0.252139 | − | 0.967691i | \(-0.581134\pi\) |
0.599365 | + | 0.800476i | \(0.295420\pi\) | |||||||
\(128\) | 20.5563 | 1.81694 | ||||||||
\(129\) | −7.79956 | + | 3.75607i | −0.686713 | + | 0.330703i | ||||
\(130\) | −5.76269 | − | 7.22619i | −0.505422 | − | 0.633779i | ||||
\(131\) | 13.2889 | + | 16.6637i | 1.16105 | + | 1.45592i | 0.865724 | + | 0.500522i | \(0.166858\pi\) |
0.295331 | + | 0.955395i | \(0.404570\pi\) | |||||||
\(132\) | 3.44929 | − | 1.66109i | 0.300222 | − | 0.144580i | ||||
\(133\) | −16.9706 | −1.47153 | ||||||||
\(134\) | 12.3044 | − | 5.92549i | 1.06294 | − | 0.511884i | ||||
\(135\) | −0.0921712 | − | 0.403828i | −0.00793283 | − | 0.0347560i | ||||
\(136\) | 3.29471 | + | 1.58665i | 0.282519 | + | 0.136054i | ||||
\(137\) | −10.8116 | − | 5.20660i | −0.923700 | − | 0.444830i | −0.0893090 | − | 0.996004i | \(-0.528466\pi\) |
−0.834391 | + | 0.551174i | \(0.814180\pi\) | |||||||
\(138\) | 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 | ||||
\(142\) | −4.74275 | + | 20.7793i | −0.398002 | + | 1.74376i | ||||
\(143\) | 0.988722 | − | 1.23982i | 0.0826811 | − | 0.103679i | ||||
\(144\) | 8.48528 | 0.707107 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −9.65685 | −0.799207 | ||||||||
\(147\) | 1.50524 | − | 1.88751i | 0.124150 | − | 0.155679i | ||||
\(148\) | 3.40762 | − | 14.9298i | 0.280105 | − | 1.22722i | ||||
\(149\) | 1.74199 | + | 7.63215i | 0.142709 | + | 0.625250i | 0.994799 | + | 0.101855i | \(0.0324778\pi\) |
−0.852090 | + | 0.523395i | \(0.824665\pi\) | |||||||
\(150\) | 14.5359 | − | 18.2274i | 1.18685 | − | 1.48826i | ||||
\(151\) | −8.81748 | − | 11.0568i | −0.717556 | − | 0.899787i | 0.280641 | − | 0.959813i | \(-0.409453\pi\) |
−0.998197 | + | 0.0600260i | \(0.980882\pi\) | |||||||
\(152\) | 5.89353 | − | 25.8212i | 0.478028 | − | 2.09438i | ||||
\(153\) | −2.11110 | − | 1.01665i | −0.170672 | − | 0.0821915i | ||||
\(154\) | 2.54832 | + | 1.22721i | 0.205350 | + | 0.0988913i | ||||
\(155\) | 2.24102 | + | 9.81857i | 0.180003 | + | 0.788646i | ||||
\(156\) | 31.8806 | − | 15.3529i | 2.55249 | − | 1.22921i | ||||
\(157\) | 8.48528 | 0.677199 | 0.338600 | − | 0.940931i | \(-0.390047\pi\) | ||||
0.338600 | + | 0.940931i | \(0.390047\pi\) | |||||||
\(158\) | −5.25123 | + | 2.52886i | −0.417766 | + | 0.201185i | ||||
\(159\) | 14.2776 | + | 17.9035i | 1.13229 | + | 1.41984i | ||||
\(160\) | −0.988722 | − | 1.23982i | −0.0781653 | − | 0.0980162i | ||||
\(161\) | 9.31885 | − | 4.48772i | 0.734428 | − | 0.353682i | ||||
\(162\) | 22.8995 | 1.79915 | ||||||||
\(163\) | −3.53985 | + | 1.70470i | −0.277262 | + | 0.133522i | −0.567348 | − | 0.823478i | \(-0.692030\pi\) |
0.290086 | + | 0.957001i | \(0.406316\pi\) | |||||||
\(164\) | 3.82103 | + | 16.7410i | 0.298373 | + | 1.30726i | ||||
\(165\) | −0.900969 | − | 0.433884i | −0.0701403 | − | 0.0337778i | ||||
\(166\) | 16.6547 | + | 8.02046i | 1.29265 | + | 0.622509i | ||||
\(167\) | 0.705741 | − | 3.09205i | 0.0546119 | − | 0.239270i | −0.940254 | − | 0.340474i | \(-0.889412\pi\) |
0.994866 | + | 0.101204i | \(0.0322695\pi\) | |||||||
\(168\) | 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 | ||||
\(171\) | −3.77631 | + | 16.5451i | −0.288781 | + | 1.26523i | ||||
\(172\) | 8.55922 | − | 10.7329i | 0.652634 | − | 0.818378i | ||||
\(173\) | 12.3431 | 0.938432 | 0.469216 | − | 0.883083i | \(-0.344537\pi\) | ||||
0.469216 | + | 0.883083i | \(0.344537\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 11.3137 | 0.855236 | ||||||||
\(176\) | −0.774774 | + | 0.971536i | −0.0584008 | + | 0.0732323i | ||||
\(177\) | 1.96451 | − | 8.60708i | 0.147662 | − | 0.646948i | ||||
\(178\) | −6.70726 | − | 29.3864i | −0.502730 | − | 2.20260i | ||||
\(179\) | −4.04351 | + | 5.07040i | −0.302226 | + | 0.378979i | −0.909634 | − | 0.415411i | \(-0.863638\pi\) |
0.607408 | + | 0.794390i | \(0.292209\pi\) | |||||||
\(180\) | −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 | \(0.971442\pi\) | |||||||
\(182\) | 23.5533 | + | 11.3426i | 1.74588 | + | 0.840773i | ||||
\(183\) | 10.5025 | + | 5.05772i | 0.776364 | + | 0.373877i | ||||
\(184\) | 3.59196 | + | 15.7374i | 0.264803 | + | 1.16018i | ||||
\(185\) | −3.60388 | + | 1.73553i | −0.264962 | + | 0.127599i | ||||
\(186\) | −58.6985 | −4.30398 | ||||||||
\(187\) | 0.309164 | − | 0.148885i | 0.0226083 | − | 0.0108876i | ||||
\(188\) | −7.74014 | − | 9.70582i | −0.564507 | − | 0.707870i | ||||
\(189\) | 0.730464 | + | 0.915973i | 0.0531334 | + | 0.0666272i | ||||
\(190\) | −13.0508 | + | 6.28493i | −0.946804 | + | 0.455957i | ||||
\(191\) | 25.3137 | 1.83164 | 0.915818 | − | 0.401594i | \(-0.131544\pi\) | ||||
0.915818 | + | 0.401594i | \(0.131544\pi\) | |||||||
\(192\) | 21.3781 | − | 10.2952i | 1.54283 | − | 0.742989i | ||||
\(193\) | 1.15078 | + | 5.04191i | 0.0828352 | + | 0.362925i | 0.999309 | − | 0.0371701i | \(-0.0118343\pi\) |
−0.916474 | + | 0.400095i | \(0.868977\pi\) | |||||||
\(194\) | 9.75608 | + | 4.69828i | 0.700445 | + | 0.337317i | ||||
\(195\) | −8.32733 | − | 4.01023i | −0.596333 | − | 0.287179i | ||||
\(196\) | −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 | \(0.923096\pi\) | |||||||
\(200\) | −3.92902 | + | 17.2142i | −0.277824 | + | 1.21722i | ||||
\(201\) | 8.51491 | − | 10.6774i | 0.600595 | − | 0.753123i | ||||
\(202\) | 5.65685 | 0.398015 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 7.65685 | 0.536087 | ||||||||
\(205\) | 2.79653 | − | 3.50673i | 0.195318 | − | 0.244921i | ||||
\(206\) | −2.59389 | + | 11.3646i | −0.180725 | + | 0.791809i | ||||
\(207\) | −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 | ||||
\(211\) | 17.4651 | + | 8.41074i | 1.20235 | + | 0.579019i | 0.924344 | − | 0.381561i | \(-0.124613\pi\) |
0.278002 | + | 0.960580i | \(0.410328\pi\) | |||||||
\(212\) | −32.7175 | − | 15.7559i | −2.24705 | − | 1.08212i | ||||
\(213\) | 4.74275 | + | 20.7793i | 0.324968 | + | 1.42378i | ||||
\(214\) | −32.2538 | + | 15.5326i | −2.20482 | + | 1.06179i | ||||
\(215\) | −3.58579 | −0.244549 | ||||||||
\(216\) | −1.64736 | + | 0.793325i | −0.112088 | + | 0.0539789i | ||||
\(217\) | −17.7603 | − | 22.2707i | −1.20565 | − | 1.51183i | ||||
\(218\) | −19.0516 | − | 23.8899i | −1.29034 | − | 1.61803i | ||||
\(219\) | −8.70053 | + | 4.18995i | −0.587927 | + | 0.283131i | ||||
\(220\) | 1.58579 | 0.106914 | ||||||||
\(221\) | 2.85749 | − | 1.37609i | 0.192215 | − | 0.0925661i | ||||
\(222\) | −5.18779 | − | 22.7292i | −0.348182 | − | 1.52548i | ||||
\(223\) | 2.85749 | + | 1.37609i | 0.191352 | + | 0.0921501i | 0.527106 | − | 0.849799i | \(-0.323277\pi\) |
−0.335755 | + | 0.941949i | \(0.608991\pi\) | |||||||
\(224\) | 4.04110 | + | 1.94609i | 0.270007 | + | 0.130029i | ||||
\(225\) | 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 | ||||
\(229\) | 0.782098 | − | 3.42660i | 0.0516825 | − | 0.226436i | −0.942490 | − | 0.334233i | \(-0.891523\pi\) |
0.994173 | + | 0.107797i | \(0.0343798\pi\) | |||||||
\(230\) | 5.50443 | − | 6.90234i | 0.362952 | − | 0.455127i | ||||
\(231\) | 2.82843 | 0.186097 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 18.3137 | 1.19977 | 0.599885 | − | 0.800086i | \(-0.295213\pi\) | ||||
0.599885 | + | 0.800086i | \(0.295213\pi\) | |||||||
\(234\) | 16.2994 | − | 20.4387i | 1.06552 | − | 1.33612i | ||||
\(235\) | −0.721555 | + | 3.16134i | −0.0470691 | + | 0.206223i | ||||
\(236\) | 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 | \(-0.147880\pi\) | |||||||
\(240\) | 6.52539 | + | 3.14246i | 0.421212 | + | 0.202845i | ||||
\(241\) | 16.5001 | + | 7.94602i | 1.06286 | + | 0.511848i | 0.881800 | − | 0.471623i | \(-0.156332\pi\) |
0.181064 | + | 0.983471i | \(0.442046\pi\) | |||||||
\(242\) | −5.81717 | − | 25.4867i | −0.373942 | − | 1.63835i | ||||
\(243\) | 19.5122 | − | 9.39656i | 1.25171 | − | 0.602789i | ||||
\(244\) | −18.4853 | −1.18340 | ||||||||
\(245\) | 0.900969 | − | 0.433884i | 0.0575608 | − | 0.0277198i | ||||
\(246\) | 16.2994 | + | 20.4387i | 1.03921 | + | 1.30313i | ||||
\(247\) | −14.3219 | − | 17.9591i | −0.911281 | − | 1.14271i | ||||
\(248\) | 40.0533 | − | 19.2887i | 2.54339 | − | 1.22483i | ||||
\(249\) | 18.4853 | 1.17146 | ||||||||
\(250\) | 19.5762 | − | 9.42739i | 1.23811 | − | 0.596241i | ||||
\(251\) | −4.46623 | − | 19.5678i | −0.281906 | − | 1.23511i | −0.895346 | − | 0.445370i | \(-0.853072\pi\) |
0.613440 | − | 0.789741i | \(-0.289785\pi\) | |||||||
\(252\) | 27.5943 | + | 13.2887i | 1.73828 | + | 0.837112i | ||||
\(253\) | 1.36471 | + | 0.657212i | 0.0857989 | + | 0.0413186i | ||||
\(254\) | −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 | \(0.736770\pi\) | |||||||
\(258\) | 4.65058 | − | 20.3755i | 0.289532 | − | 1.26852i | ||||
\(259\) | 7.05398 | − | 8.84541i | 0.438313 | − | 0.549627i | ||||
\(260\) | 14.6569 | 0.908980 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −51.4558 | −3.17895 | ||||||||
\(263\) | 1.71919 | − | 2.15579i | 0.106010 | − | 0.132932i | −0.725996 | − | 0.687699i | \(-0.758621\pi\) |
0.832006 | + | 0.554767i | \(0.187193\pi\) | |||||||
\(264\) | −0.982255 | + | 4.30354i | −0.0604536 | + | 0.264865i | ||||
\(265\) | 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 | ||||
\(269\) | −28.3407 | − | 13.6482i | −1.72797 | − | 0.832144i | −0.987024 | − | 0.160575i | \(-0.948665\pi\) |
−0.740941 | − | 0.671570i | \(-0.765620\pi\) | |||||||
\(270\) | 0.900969 | + | 0.433884i | 0.0548312 | + | 0.0264053i | ||||
\(271\) | −3.68413 | − | 16.1412i | −0.223795 | − | 0.980511i | −0.954592 | − | 0.297916i | \(-0.903708\pi\) |
0.730797 | − | 0.682595i | \(-0.239149\pi\) | |||||||
\(272\) | −2.23916 | + | 1.07832i | −0.135769 | + | 0.0653829i | ||||
\(273\) | 26.1421 | 1.58219 | ||||||||
\(274\) | 26.1016 | − | 12.5699i | 1.57685 | − | 0.759373i | ||||
\(275\) | 1.03303 | + | 1.29538i | 0.0622942 | + | 0.0781144i | ||||
\(276\) | 21.0733 | + | 26.4251i | 1.26847 | + | 1.59060i | ||||
\(277\) | 15.5991 | − | 7.51214i | 0.937260 | − | 0.451361i | 0.0980580 | − | 0.995181i | \(-0.468737\pi\) |
0.839202 | + | 0.543820i | \(0.183023\pi\) | |||||||
\(278\) | −33.7990 | −2.02713 | ||||||||
\(279\) | −25.6644 | + | 12.3593i | −1.53648 | + | 0.739932i | ||||
\(280\) | 2.77824 | + | 12.1722i | 0.166031 | + | 0.727431i | ||||
\(281\) | −28.8045 | − | 13.8715i | −1.71833 | − | 0.827505i | −0.989795 | − | 0.142497i | \(-0.954487\pi\) |
−0.728536 | − | 0.685007i | \(-0.759799\pi\) | |||||||
\(282\) | −17.0279 | − | 8.20018i | −1.01399 | − | 0.488314i | ||||
\(283\) | −2.59389 | + | 11.3646i | −0.154191 | + | 0.675555i | 0.837449 | + | 0.546516i | \(0.184046\pi\) |
−0.991640 | + | 0.129039i | \(0.958811\pi\) | |||||||
\(284\) | −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 | ||||
\(287\) | −2.82297 | + | 12.3682i | −0.166634 | + | 0.730073i | ||||
\(288\) | 2.79653 | − | 3.50673i | 0.164787 | − | 0.206636i | ||||
\(289\) | −16.3137 | −0.959630 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 10.8284 | 0.634774 | ||||||||
\(292\) | 9.54794 | − | 11.9727i | 0.558751 | − | 0.700652i | ||||
\(293\) | −1.70381 | + | 7.46488i | −0.0995377 | + | 0.436103i | 0.900462 | + | 0.434935i | \(0.143229\pi\) |
−0.999999 | + | 0.00116759i | \(0.999628\pi\) | |||||||
\(294\) | 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 | ||||
\(298\) | −17.0279 | − | 8.20018i | −0.986397 | − | 0.475024i | ||||
\(299\) | 12.6136 | + | 6.07437i | 0.729461 | + | 0.351290i | ||||
\(300\) | 8.22672 | + | 36.0436i | 0.474970 | + | 2.08098i | ||||
\(301\) | 9.13775 | − | 4.40051i | 0.526691 | − | 0.253641i | ||||
\(302\) | 34.1421 | 1.96466 | ||||||||
\(303\) | 5.09665 | − | 2.45442i | 0.292795 | − | 0.141003i | ||||
\(304\) | 11.2228 | + | 14.0730i | 0.643673 | + | 0.807140i | ||||
\(305\) | 3.01048 | + | 3.77502i | 0.172379 | + | 0.216157i | ||||
\(306\) | 5.09665 | − | 2.45442i | 0.291356 | − | 0.140310i | ||||
\(307\) | 2.89949 | 0.165483 | 0.0827415 | − | 0.996571i | \(-0.473632\pi\) | ||||
0.0827415 | + | 0.996571i | \(0.473632\pi\) | |||||||
\(308\) | −4.04110 | + | 1.94609i | −0.230263 | + | 0.110889i | ||||
\(309\) | 2.59389 | + | 11.3646i | 0.147561 | + | 0.646509i | ||||
\(310\) | −21.9059 | − | 10.5493i | −1.24417 | − | 0.599161i | ||||
\(311\) | −2.42027 | − | 1.16554i | −0.137241 | − | 0.0660916i | 0.364003 | − | 0.931398i | \(-0.381410\pi\) |
−0.501244 | + | 0.865306i | \(0.667124\pi\) | |||||||
\(312\) | −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 | ||||
\(316\) | 2.05668 | − | 9.01091i | 0.115697 | − | 0.506903i | ||||
\(317\) | −19.6124 | + | 24.5932i | −1.10154 | + | 1.38129i | −0.184342 | + | 0.982862i | \(0.559016\pi\) |
−0.917200 | + | 0.398428i | \(0.869556\pi\) | |||||||
\(318\) | −55.2843 | −3.10019 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 9.82843 | 0.549426 | ||||||||
\(321\) | −22.3203 | + | 27.9888i | −1.24580 | + | 1.56218i | ||||
\(322\) | −5.55647 | + | 24.3445i | −0.309650 | + | 1.35667i | ||||
\(323\) | −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 | ||||
\(327\) | −27.5303 | − | 13.2579i | −1.52243 | − | 0.733164i | ||||
\(328\) | −17.8383 | − | 8.59046i | −0.984954 | − | 0.474329i | ||||
\(329\) | −2.04087 | − | 8.94162i | −0.112517 | − | 0.492968i | ||||
\(330\) | 2.17513 | − | 1.04749i | 0.119737 | − | 0.0576623i | ||||
\(331\) | −2.41421 | −0.132697 | −0.0663486 | − | 0.997797i | \(-0.521135\pi\) | ||||
−0.0663486 | + | 0.997797i | \(0.521135\pi\) | |||||||
\(332\) | −26.4107 | + | 12.7187i | −1.44948 | + | 0.698032i | ||||
\(333\) | −7.05398 | − | 8.84541i | −0.386556 | − | 0.484726i | ||||
\(334\) | 4.77397 | + | 5.98637i | 0.261220 | + | 0.327560i | ||||
\(335\) | 5.09665 | − | 2.45442i | 0.278460 | − | 0.134099i | ||||
\(336\) | −20.4853 | −1.11756 | ||||||||
\(337\) | −19.6402 | + | 9.45823i | −1.06987 | + | 0.515222i | −0.884065 | − | 0.467364i | \(-0.845204\pi\) |
−0.185806 | + | 0.982587i | \(0.559489\pi\) | |||||||
\(338\) | 0.890084 | + | 3.89971i | 0.0484142 | + | 0.212116i | ||||
\(339\) | 28.9591 | + | 13.9459i | 1.57284 | + | 0.757440i | ||||
\(340\) | 2.85749 | + | 1.37609i | 0.154969 | + | 0.0746292i | ||||
\(341\) | 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 | ||||
\(345\) | 1.96451 | − | 8.60708i | 0.105766 | − | 0.463390i | ||||
\(346\) | −18.5794 | + | 23.2978i | −0.998833 | + | 1.25250i | ||||
\(347\) | 2.48528 | 0.133417 | 0.0667084 | − | 0.997773i | \(-0.478750\pi\) | ||||
0.0667084 | + | 0.997773i | \(0.478750\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −5.14214 | −0.275252 | −0.137626 | − | 0.990484i | \(-0.543947\pi\) | ||||
−0.137626 | + | 0.990484i | \(0.543947\pi\) | |||||||
\(350\) | −17.0298 | + | 21.3547i | −0.910282 | + | 1.14146i | ||||
\(351\) | −0.352871 | + | 1.54603i | −0.0188348 | + | 0.0825208i | ||||
\(352\) | 0.146164 | + | 0.640386i | 0.00779056 | + | 0.0341327i | ||||
\(353\) | 16.8159 | − | 21.0864i | 0.895018 | − | 1.12232i | −0.0968814 | − | 0.995296i | \(-0.530887\pi\) |
0.991900 | − | 0.127022i | \(-0.0405418\pi\) | |||||||
\(354\) | 13.2889 | + | 16.6637i | 0.706296 | + | 0.885667i | ||||
\(355\) | −1.96451 | + | 8.60708i | −0.104265 | + | 0.456816i | ||||
\(356\) | 43.0654 | + | 20.7392i | 2.28246 | + | 1.09918i | ||||
\(357\) | 5.09665 | + | 2.45442i | 0.269743 | + | 0.129902i | ||||
\(358\) | −3.48398 | − | 15.2643i | −0.184134 | − | 0.806744i | ||||
\(359\) | −3.53985 | + | 1.70470i | −0.186826 | + | 0.0899706i | −0.524958 | − | 0.851128i | \(-0.675919\pi\) |
0.338132 | + | 0.941099i | \(0.390205\pi\) | |||||||
\(360\) | 12.4853 | 0.658032 | ||||||||
\(361\) | −15.3165 | + | 7.37602i | −0.806130 | + | 0.388212i | ||||
\(362\) | −12.5141 | − | 15.6922i | −0.657727 | − | 0.824763i | ||||
\(363\) | −16.2994 | − | 20.4387i | −0.855494 | − | 1.07276i | ||||
\(364\) | −37.3504 | + | 17.9870i | −1.95769 | + | 0.942776i | ||||
\(365\) | −4.00000 | −0.209370 | ||||||||
\(366\) | −25.3552 | + | 12.2104i | −1.32534 | + | 0.638249i | ||||
\(367\) | −4.00538 | − | 17.5487i | −0.209079 | − | 0.916035i | −0.965181 | − | 0.261582i | \(-0.915756\pi\) |
0.756102 | − | 0.654453i | \(-0.227101\pi\) | |||||||
\(368\) | −9.88414 | − | 4.75995i | −0.515246 | − | 0.248129i | ||||
\(369\) | 11.4300 | + | 5.50438i | 0.595020 | + | 0.286546i | ||||
\(370\) | 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 | \(0.690014\pi\) | |||||||
\(374\) | −0.184342 | + | 0.807657i | −0.00953212 | + | 0.0417629i | ||||
\(375\) | 13.5471 | − | 16.9876i | 0.699571 | − | 0.877235i | ||||
\(376\) | 14.3137 | 0.738173 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −2.82843 | −0.145479 | ||||||||
\(379\) | −4.34607 | + | 5.44981i | −0.223243 | + | 0.279938i | −0.880822 | − | 0.473448i | \(-0.843009\pi\) |
0.657579 | + | 0.753386i | \(0.271581\pi\) | |||||||
\(380\) | 5.11143 | − | 22.3946i | 0.262211 | − | 1.14882i | ||||
\(381\) | 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 | 0.722686 | − | 0.691177i | \(-0.242907\pi\) |
−0.834660 | + | 0.550765i | \(0.814336\pi\) | |||||||
\(384\) | −11.0431 | + | 48.3832i | −0.563543 | + | 2.46904i | ||||
\(385\) | 1.05555 | + | 0.508326i | 0.0537958 | + | 0.0259067i | ||||
\(386\) | −11.2488 | − | 5.41716i | −0.572551 | − | 0.275726i | ||||
\(387\) | −2.25684 | − | 9.88785i | −0.114721 | − | 0.502628i | ||||
\(388\) | −15.4711 | + | 7.45047i | −0.785424 | + | 0.378240i | ||||
\(389\) | 3.02944 | 0.153599 | 0.0767993 | − | 0.997047i | \(-0.475530\pi\) | ||||
0.0767993 | + | 0.997047i | \(0.475530\pi\) | |||||||
\(390\) | 20.1040 | − | 9.68156i | 1.01800 | − | 0.490245i | ||||
\(391\) | 1.88882 | + | 2.36851i | 0.0955219 | + | 0.119781i | ||||
\(392\) | −2.75222 | − | 3.45117i | −0.139008 | − | 0.174310i | ||||
\(393\) | −46.3601 | + | 22.3259i | −2.33856 | + | 1.12619i | ||||
\(394\) | −4.82843 | −0.243253 | ||||||||
\(395\) | −2.17513 | + | 1.04749i | −0.109443 | + | 0.0527048i | ||||
\(396\) | 0.998069 | + | 4.37283i | 0.0501549 | + | 0.219743i | ||||
\(397\) | −17.4276 | − | 8.39268i | −0.874665 | − | 0.421216i | −0.0579918 | − | 0.998317i | \(-0.518470\pi\) |
−0.816673 | + | 0.577101i | \(0.804184\pi\) | |||||||
\(398\) | −1.05555 | − | 0.508326i | −0.0529100 | − | 0.0254801i | ||||
\(399\) | 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 | ||||
\(403\) | 8.57959 | − | 37.5897i | 0.427380 | − | 1.87247i | ||||
\(404\) | −5.59305 | + | 7.01347i | −0.278265 | + | 0.348933i | ||||
\(405\) | 9.48528 | 0.471327 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 1.65685 | 0.0821272 | ||||||||
\(408\) | −5.50443 | + | 6.90234i | −0.272510 | + | 0.341717i | ||||
\(409\) | 4.22135 | − | 18.4949i | 0.208732 | − | 0.914515i | −0.756680 | − | 0.653786i | \(-0.773180\pi\) |
0.965412 | − | 0.260730i | \(-0.0839631\pi\) | |||||||
\(410\) | 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 | ||||
\(414\) | 22.4977 | + | 10.8343i | 1.10570 | + | 0.532478i | ||||
\(415\) | 6.89859 | + | 3.32218i | 0.338638 | + | 0.163080i | ||||
\(416\) | 1.35094 | + | 5.91885i | 0.0662353 | + | 0.290196i | ||||
\(417\) | −30.4518 | + | 14.6648i | −1.49123 | + | 0.718140i | ||||
\(418\) | 6.00000 | 0.293470 | ||||||||
\(419\) | 8.57247 | − | 4.12828i | 0.418792 | − | 0.201680i | −0.212607 | − | 0.977138i | \(-0.568195\pi\) |
0.631399 | + | 0.775458i | \(0.282481\pi\) | |||||||
\(420\) | 16.2994 | + | 20.4387i | 0.795327 | + | 0.997309i | ||||
\(421\) | 23.1394 | + | 29.0159i | 1.12774 | + | 1.41415i | 0.897500 | + | 0.441015i | \(0.145381\pi\) |
0.230245 | + | 0.973133i | \(0.426047\pi\) | |||||||
\(422\) | −42.1644 | + | 20.3053i | −2.05253 | + | 0.988448i | ||||
\(423\) | −9.17157 | −0.445937 | ||||||||
\(424\) | 37.7236 | − | 18.1667i | 1.83202 | − | 0.882255i | ||||
\(425\) | 0.737370 | + | 3.23063i | 0.0357677 | + | 0.156708i | ||||
\(426\) | −46.3601 | − | 22.3259i | −2.24615 | − | 1.08169i | ||||
\(427\) | −12.3044 | − | 5.92549i | −0.595452 | − | 0.286754i | ||||
\(428\) | 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 | \(-0.228409\pi\) | |||||||
\(432\) | 0.276514 | − | 1.21149i | 0.0133038 | − | 0.0582876i | ||||
\(433\) | 19.0959 | − | 23.9455i | 0.917690 | − | 1.15075i | −0.0705003 | − | 0.997512i | \(-0.522460\pi\) |
0.988190 | − | 0.153235i | \(-0.0489690\pi\) | |||||||
\(434\) | 68.7696 | 3.30104 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 48.4558 | 2.32061 | ||||||||
\(437\) | 13.6801 | − | 17.1543i | 0.654406 | − | 0.820600i | ||||
\(438\) | 5.18779 | − | 22.7292i | 0.247882 | − | 1.08604i | ||||
\(439\) | 0.0763571 | + | 0.334542i | 0.00364433 | + | 0.0159668i | 0.976717 | − | 0.214530i | \(-0.0688220\pi\) |
−0.973073 | + | 0.230497i | \(0.925965\pi\) | |||||||
\(440\) | −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 | ||||
\(443\) | 21.9324 | + | 10.5621i | 1.04204 | + | 0.501820i | 0.874997 | − | 0.484129i | \(-0.160864\pi\) |
0.167044 | + | 0.985949i | \(0.446578\pi\) | |||||||
\(444\) | 33.3093 | + | 16.0409i | 1.58079 | + | 0.761269i | ||||
\(445\) | −2.77824 | − | 12.1722i | −0.131701 | − | 0.577020i | ||||
\(446\) | −6.89859 | + | 3.32218i | −0.326658 | + | 0.157310i | ||||
\(447\) | −18.8995 | −0.893915 | ||||||||
\(448\) | −25.0460 | + | 12.0615i | −1.18331 | + | 0.569854i | ||||
\(449\) | −21.8038 | − | 27.3411i | −1.02898 | − | 1.29031i | −0.956124 | − | 0.292964i | \(-0.905359\pi\) |
−0.0728608 | − | 0.997342i | \(-0.523213\pi\) | |||||||
\(450\) | 17.0298 | + | 21.3547i | 0.802793 | + | 1.00667i | ||||
\(451\) | −1.67388 | + | 0.806097i | −0.0788198 | + | 0.0379576i | ||||
\(452\) | −50.9706 | −2.39745 | ||||||||
\(453\) | 30.7610 | − | 14.8137i | 1.44528 | − | 0.696009i | ||||
\(454\) | −4.37406 | − | 19.1640i | −0.205285 | − | 0.899412i | ||||
\(455\) | 9.75608 | + | 4.69828i | 0.457372 | + | 0.220259i | ||||
\(456\) | 57.6090 | + | 27.7430i | 2.69779 | + | 1.29919i | ||||
\(457\) | −0.229071 | + | 1.00363i | −0.0107155 | + | 0.0469477i | −0.980003 | − | 0.198983i | \(-0.936236\pi\) |
0.969288 | + | 0.245930i | \(0.0790934\pi\) | |||||||
\(458\) | 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 | ||||
\(461\) | −3.11529 | + | 13.6490i | −0.145094 | + | 0.635697i | 0.849113 | + | 0.528211i | \(0.177137\pi\) |
−0.994207 | + | 0.107486i | \(0.965720\pi\) | |||||||
\(462\) | −4.25745 | + | 5.33868i | −0.198075 | + | 0.248378i | ||||
\(463\) | −26.0000 | −1.20832 | −0.604161 | − | 0.796862i | \(-0.706492\pi\) | ||||
−0.604161 | + | 0.796862i | \(0.706492\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −24.3137 | −1.12752 | ||||||||
\(466\) | −27.5665 | + | 34.5673i | −1.27699 | + | 1.60130i | ||||
\(467\) | 8.53487 | − | 37.3937i | 0.394946 | − | 1.73037i | −0.251900 | − | 0.967753i | \(-0.581055\pi\) |
0.646846 | − | 0.762620i | \(-0.276087\pi\) | |||||||
\(468\) | 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 | ||||
\(472\) | −14.5436 | − | 7.00381i | −0.669422 | − | 0.322376i | ||||
\(473\) | 1.33819 | + | 0.644439i | 0.0615301 | + | 0.0296314i | ||||
\(474\) | −3.13111 | − | 13.7183i | −0.143817 | − | 0.630101i | ||||
\(475\) | 21.6233 | − | 10.4132i | 0.992143 | − | 0.477791i | ||||
\(476\) | −8.97056 | −0.411165 | ||||||||
\(477\) | −24.1716 | + | 11.6404i | −1.10674 | + | 0.532978i | ||||
\(478\) | 29.5882 | + | 37.1025i | 1.35333 | + | 1.69703i | ||||
\(479\) | 4.30176 | + | 5.39424i | 0.196553 | + | 0.246469i | 0.870334 | − | 0.492461i | \(-0.163903\pi\) |
−0.673782 | + | 0.738930i | \(0.735331\pi\) | |||||||
\(480\) | 3.44929 | − | 1.66109i | 0.157438 | − | 0.0758181i | ||||
\(481\) | 15.3137 | 0.698245 | ||||||||
\(482\) | −39.8347 | + | 19.1834i | −1.81442 | + | 0.873779i | ||||
\(483\) | 5.55647 | + | 24.3445i | 0.252828 | + | 1.10771i | ||||
\(484\) | 37.3504 | + | 17.9870i | 1.69775 | + | 0.817592i | ||||
\(485\) | 4.04110 | + | 1.94609i | 0.183497 | + | 0.0883674i | ||||
\(486\) | −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 | ||||
\(490\) | −0.537213 | + | 2.35368i | −0.0242688 | + | 0.106329i | ||||
\(491\) | −13.2446 | + | 16.6082i | −0.597719 | + | 0.749516i | −0.985021 | − | 0.172437i | \(-0.944836\pi\) |
0.387301 | + | 0.921953i | \(0.373407\pi\) | |||||||
\(492\) | −41.4558 | −1.86897 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 55.4558 | 2.49508 | ||||||||
\(495\) | 0.730464 | − | 0.915973i | 0.0328319 | − | 0.0411699i | ||||
\(496\) | −6.72307 | + | 29.4557i | −0.301875 | + | 1.32260i | ||||
\(497\) | −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 | 0.972594 | − | 0.232509i | \(-0.0746936\pi\) |
−0.443102 | + | 0.896471i | \(0.646122\pi\) | |||||||
\(500\) | −7.66715 | + | 33.5920i | −0.342885 | + | 1.50228i | ||||
\(501\) | 6.89859 | + | 3.32218i | 0.308206 | + | 0.148424i | ||||
\(502\) | 43.6572 | + | 21.0242i | 1.94852 | + | 0.938356i | ||||
\(503\) | −0.0605430 | − | 0.265256i | −0.00269948 | − | 0.0118272i | 0.973560 | − | 0.228430i | \(-0.0733593\pi\) |
−0.976260 | + | 0.216603i | \(0.930502\pi\) | |||||||
\(504\) | −31.8166 | + | 15.3220i | −1.41722 | + | 0.682498i | ||||
\(505\) | 2.34315 | 0.104269 | ||||||||
\(506\) | −3.29471 | + | 1.58665i | −0.146468 | + | 0.0705352i | ||||
\(507\) | 2.49396 | + | 3.12733i | 0.110761 | + | 0.138889i | ||||
\(508\) | −10.3670 | − | 12.9998i | −0.459962 | − | 0.576775i | ||||
\(509\) | 9.47343 | − | 4.56217i | 0.419903 | − | 0.202214i | −0.211988 | − | 0.977272i | \(-0.567994\pi\) |
0.631890 | + | 0.775058i | \(0.282279\pi\) | |||||||
\(510\) | 4.82843 | 0.213806 | ||||||||
\(511\) | 10.1933 | − | 4.90883i | 0.450925 | − | 0.217154i | ||||
\(512\) | −6.95214 | − | 30.4593i | −0.307244 | − | 1.34612i | ||||
\(513\) | 2.23916 | + | 1.07832i | 0.0988614 | + | 0.0476091i | ||||
\(514\) | −39.5256 | − | 19.0345i | −1.74340 | − | 0.839576i | ||||
\(515\) | −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 | ||||
\(519\) | −6.63090 | + | 29.0519i | −0.291064 | + | 1.27524i | ||||
\(520\) | −10.5367 | + | 13.2126i | −0.462063 | + | 0.579409i | ||||
\(521\) | −29.1421 | −1.27674 | −0.638370 | − | 0.769730i | \(-0.720391\pi\) | ||||
−0.638370 | + | 0.769730i | \(0.720391\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 4.68629 | 0.204917 | 0.102459 | − | 0.994737i | \(-0.467329\pi\) | ||||
0.102459 | + | 0.994737i | \(0.467329\pi\) | |||||||
\(524\) | 50.8755 | − | 63.7959i | 2.22251 | − | 2.78694i | ||||
\(525\) | −6.07787 | + | 26.6289i | −0.265260 | + | 1.16218i | ||||
\(526\) | 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 | ||||
\(530\) | −20.6317 | − | 9.93572i | −0.896185 | − | 0.431580i | ||||
\(531\) | 9.31885 | + | 4.48772i | 0.404404 | + | 0.194751i | ||||
\(532\) | 14.4573 | + | 63.3416i | 0.626804 | + | 2.74621i | ||||
\(533\) | −15.4711 | + | 7.45047i | −0.670126 | + | 0.322716i | ||||
\(534\) | 72.7696 | 3.14905 | ||||||||
\(535\) | −13.3600 | + | 6.43381i | −0.577601 | + | 0.278158i | ||||
\(536\) | −15.5689 | − | 19.5228i | −0.672474 | − | 0.843255i | ||||
\(537\) | −9.76189 | − | 12.2410i | −0.421257 | − | 0.528239i | ||||
\(538\) | 68.4206 | − | 32.9496i | 2.94982 | − | 1.42056i | ||||
\(539\) | −0.414214 | −0.0178414 | ||||||||
\(540\) | −1.42874 | + | 0.688047i | −0.0614834 | + | 0.0296088i | ||||
\(541\) | 2.30157 | + | 10.0838i | 0.0989521 | + | 0.433537i | 1.00000 | 0.000182215i | \(-5.80007e-5\pi\) | |
−0.901048 | + | 0.433720i | \(0.857201\pi\) | |||||||
\(542\) | 36.0122 | + | 17.3426i | 1.54686 | + | 0.744927i | ||||
\(543\) | −18.0834 | − | 8.70851i | −0.776033 | − | 0.373718i | ||||
\(544\) | −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 | \(-0.348851\pi\) | |||||||
\(548\) | −10.2229 | + | 44.7893i | −0.436699 | + | 1.91330i | ||||
\(549\) | −8.51491 | + | 10.6774i | −0.363407 | + | 0.455699i | ||||
\(550\) | −4.00000 | −0.170561 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −38.9706 | −1.65870 | ||||||||
\(553\) | 4.25745 | − | 5.33868i | 0.181045 | − | 0.227024i | ||||
\(554\) | −9.30115 | + | 40.7510i | −0.395168 | + | 1.73134i | ||||
\(555\) | −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 | 0.498639 | − | 0.866810i | \(-0.333833\pi\) |
−0.956035 | + | 0.293254i | \(0.905262\pi\) | |||||||
\(558\) | 15.3027 | − | 67.0454i | 0.647813 | − | 2.83826i | ||||
\(559\) | 12.3684 | + | 5.95632i | 0.523129 | + | 0.251926i | ||||
\(560\) | −7.64497 | − | 3.68163i | −0.323059 | − | 0.155577i | ||||
\(561\) | 0.184342 | + | 0.807657i | 0.00778294 | + | 0.0340993i | ||||
\(562\) | 69.5402 | − | 33.4888i | 2.93338 | − | 1.41264i | ||||
\(563\) | −0.757359 | −0.0319189 | −0.0159594 | − | 0.999873i | \(-0.505080\pi\) | ||||
−0.0159594 | + | 0.999873i | \(0.505080\pi\) | |||||||
\(564\) | 27.0025 | − | 13.0037i | 1.13701 | − | 0.547556i | ||||
\(565\) | 8.30096 | + | 10.4091i | 0.349224 | + | 0.437913i | ||||
\(566\) | −17.5463 | − | 22.0024i | −0.737527 | − | 0.924830i | ||||
\(567\) | −24.1716 | + | 11.6404i | −1.01511 | + | 0.488852i | ||||
\(568\) | 38.9706 | 1.63517 | ||||||||
\(569\) | 35.7296 | − | 17.2065i | 1.49786 | − | 0.721333i | 0.507736 | − | 0.861513i | \(-0.330482\pi\) |
0.990126 | + | 0.140180i | \(0.0447681\pi\) | |||||||
\(570\) | −7.78168 | − | 34.0938i | −0.325939 | − | 1.42803i | ||||
\(571\) | −13.1788 | − | 6.34660i | −0.551518 | − | 0.265597i | 0.137303 | − | 0.990529i | \(-0.456157\pi\) |
−0.688820 | + | 0.724932i | \(0.741871\pi\) | |||||||
\(572\) | −5.46984 | − | 2.63414i | −0.228706 | − | 0.110139i | ||||
\(573\) | −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 | ||||
\(577\) | 6.63090 | − | 29.0519i | 0.276048 | − | 1.20945i | −0.626695 | − | 0.779265i | \(-0.715593\pi\) |
0.902743 | − | 0.430180i | \(-0.141550\pi\) | |||||||
\(578\) | 24.5560 | − | 30.7923i | 1.02140 | − | 1.28079i | ||||
\(579\) | −12.4853 | −0.518871 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −21.6569 | −0.898478 | ||||||||
\(582\) | −16.2994 | + | 20.4387i | −0.675630 | + | 0.847213i | ||||
\(583\) | 0.874270 | − | 3.83043i | 0.0362085 | − | 0.158640i | ||||
\(584\) | 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 | \(0.121938\pi\) | |||||||
\(588\) | −8.32733 | − | 4.01023i | −0.343413 | − | 0.165379i | ||||
\(589\) | −54.4423 | − | 26.2180i | −2.24326 | − | 1.08030i | ||||
\(590\) | 1.96451 | + | 8.60708i | 0.0808776 | + | 0.354348i | ||||
\(591\) | −4.35026 | + | 2.09498i | −0.178946 | + | 0.0861758i | ||||
\(592\) | −12.0000 | −0.493197 | ||||||||
\(593\) | 17.5556 | − | 8.45435i | 0.720923 | − | 0.347178i | −0.0371837 | − | 0.999308i | \(-0.511839\pi\) |
0.758107 | + | 0.652130i | \(0.226124\pi\) | |||||||
\(594\) | −0.258258 | − | 0.323845i | −0.0105965 | − | 0.0132875i | ||||
\(595\) | 1.46093 | + | 1.83195i | 0.0598922 | + | 0.0751024i | ||||
\(596\) | 27.0025 | − | 13.0037i | 1.10607 | − | 0.532654i | ||||
\(597\) | −1.17157 | −0.0479493 | ||||||||
\(598\) | −30.4518 | + | 14.6648i | −1.24527 | + | 0.599690i | ||||
\(599\) | −2.19629 | − | 9.62259i | −0.0897382 | − | 0.393169i | 0.910034 | − | 0.414535i | \(-0.136056\pi\) |
−0.999772 | + | 0.0213660i | \(0.993198\pi\) | |||||||
\(600\) | −38.4060 | − | 18.4953i | −1.56792 | − | 0.755069i | ||||
\(601\) | 15.4711 | + | 7.45047i | 0.631077 | + | 0.303911i | 0.721943 | − | 0.691952i | \(-0.243249\pi\) |
−0.0908658 | + | 0.995863i | \(0.528963\pi\) | |||||||
\(602\) | −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 | ||||
\(606\) | −3.03894 | + | 13.3144i | −0.123448 | + | 0.540862i | ||||
\(607\) | −4.81828 | + | 6.04193i | −0.195568 | + | 0.245234i | −0.869940 | − | 0.493157i | \(-0.835843\pi\) |
0.674372 | + | 0.738391i | \(0.264414\pi\) | |||||||
\(608\) | 9.51472 | 0.385873 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −11.6569 | −0.471972 | ||||||||
\(611\) | 7.74014 | − | 9.70582i | 0.313132 | − | 0.392656i | ||||
\(612\) | −1.99614 | + | 8.74565i | −0.0806891 | + | 0.353522i | ||||
\(613\) | 2.00269 | + | 8.77435i | 0.0808878 | + | 0.354393i | 0.999134 | − | 0.0416183i | \(-0.0132513\pi\) |
−0.918246 | + | 0.396011i | \(0.870394\pi\) | |||||||
\(614\) | −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 | ||||
\(617\) | −0.618327 | − | 0.297771i | −0.0248929 | − | 0.0119878i | 0.421396 | − | 0.906877i | \(-0.361540\pi\) |
−0.446289 | + | 0.894889i | \(0.647255\pi\) | |||||||
\(618\) | −25.3552 | − | 12.2104i | −1.01994 | − | 0.491175i | ||||
\(619\) | −7.47354 | − | 32.7437i | −0.300387 | − | 1.31608i | −0.869545 | − | 0.493853i | \(-0.835588\pi\) |
0.569158 | − | 0.822228i | \(-0.307269\pi\) | |||||||
\(620\) | 34.7381 | − | 16.7290i | 1.39511 | − | 0.671852i | ||||
\(621\) | −1.51472 | −0.0607836 | ||||||||
\(622\) | 5.84304 | − | 2.81386i | 0.234284 | − | 0.112825i | ||||
\(623\) | 22.0177 | + | 27.6094i | 0.882122 | + | 1.10615i | ||||
\(624\) | −17.2881 | − | 21.6786i | −0.692077 | − | 0.867837i | ||||
\(625\) | −9.91066 | + | 4.77272i | −0.396426 | + | 0.190909i | ||||
\(626\) | −23.7279 | −0.948358 | ||||||||
\(627\) | 5.40581 | − | 2.60330i | 0.215887 | − | 0.103966i | ||||
\(628\) | −7.22866 | − | 31.6708i | −0.288455 | − | 1.26380i | ||||
\(629\) | 2.98555 | + | 1.43776i | 0.119042 | + | 0.0573274i | ||||
\(630\) | 17.4011 | + | 8.37990i | 0.693274 | + | 0.333863i | ||||
\(631\) | 8.19510 | − | 35.9051i | 0.326242 | − | 1.42936i | −0.499992 | − | 0.866030i | \(-0.666664\pi\) |
0.826233 | − | 0.563328i | \(-0.190479\pi\) | |||||||
\(632\) | 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 | ||||
\(635\) | −0.966441 | + | 4.23425i | −0.0383520 | + | 0.168031i | ||||
\(636\) | 54.6608 | − | 68.5424i | 2.16744 | − | 2.71788i | ||||
\(637\) | −3.82843 | −0.151688 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −24.9706 | −0.987820 | ||||||||
\(640\) | −12.8167 | + | 16.0716i | −0.506624 | + | 0.635286i | ||||
\(641\) | −3.96065 | + | 17.3527i | −0.156436 | + | 0.685392i | 0.834494 | + | 0.551017i | \(0.185760\pi\) |
−0.990931 | + | 0.134375i | \(0.957097\pi\) | |||||||
\(642\) | −19.2317 | − | 84.2595i | −0.759014 | − | 3.32546i | ||||
\(643\) | 20.2542 | − | 25.3980i | 0.798749 | − | 1.00160i | −0.201008 | − | 0.979590i | \(-0.564422\pi\) |
0.999758 | − | 0.0220105i | \(-0.00700671\pi\) | |||||||
\(644\) | −24.6889 | − | 30.9589i | −0.972880 | − | 1.21995i | ||||
\(645\) | 1.92633 | − | 8.43981i | 0.0758492 | − | 0.332317i | ||||
\(646\) | 10.8116 | + | 5.20660i | 0.425378 | + | 0.204851i | ||||
\(647\) | −35.7296 | − | 17.2065i | −1.40468 | − | 0.676456i | −0.430571 | − | 0.902557i | \(-0.641688\pi\) |
−0.974104 | + | 0.226101i | \(0.927402\pi\) | |||||||
\(648\) | −9.31696 | − | 40.8203i | −0.366005 | − | 1.60357i | ||||
\(649\) | −1.36471 | + | 0.657212i | −0.0535697 | + | 0.0257978i | ||||
\(650\) | −36.9706 | −1.45010 | ||||||||
\(651\) | 61.9592 | − | 29.8380i | 2.42837 | − | 1.16944i | ||||
\(652\) | 9.37830 | + | 11.7600i | 0.367283 | + | 0.460558i | ||||
\(653\) | −18.7933 | − | 23.5661i | −0.735439 | − | 0.922212i | 0.263661 | − | 0.964615i | \(-0.415070\pi\) |
−0.999101 | + | 0.0424037i | \(0.986498\pi\) | |||||||
\(654\) | 66.4641 | − | 32.0074i | 2.59895 | − | 1.25159i | ||||
\(655\) | −21.3137 | −0.832796 | ||||||||
\(656\) | 12.1233 | − | 5.83827i | 0.473335 | − | 0.227946i | ||||
\(657\) | −2.51754 | − | 11.0301i | −0.0982185 | − | 0.430323i | ||||
\(658\) | 19.9494 | + | 9.60711i | 0.777708 | + | 0.374524i | ||||
\(659\) | −12.9868 | − | 6.25409i | −0.505892 | − | 0.243625i | 0.163487 | − | 0.986545i | \(-0.447726\pi\) |
−0.669380 | + | 0.742921i | \(0.733440\pi\) | |||||||
\(660\) | −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 | ||||
\(664\) | 7.52098 | − | 32.9516i | 0.291871 | − | 1.27877i | ||||
\(665\) | 10.5810 | − | 13.2681i | 0.410313 | − | 0.514516i | ||||
\(666\) | 27.3137 | 1.05838 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −12.1421 | −0.469793 | ||||||||
\(669\) | −4.77397 | + | 5.98637i | −0.184572 | + | 0.231446i | ||||
\(670\) | −3.03894 | + | 13.3144i | −0.117404 | + | 0.514382i | ||||
\(671\) | −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 | 0.450776 | − | 0.892637i | \(-0.351147\pi\) |
−0.970564 | + | 0.240843i | \(0.922576\pi\) | |||||||
\(674\) | 11.7107 | − | 51.3079i | 0.451079 | − | 1.97631i | ||||
\(675\) | −1.49277 | − | 0.718882i | −0.0574569 | − | 0.0276698i | ||||
\(676\) | −5.71498 | − | 2.75219i | −0.219807 | − | 0.105853i | ||||
\(677\) | 4.89546 | + | 21.4484i | 0.188148 | + | 0.824330i | 0.977592 | + | 0.210507i | \(0.0675116\pi\) |
−0.789444 | + | 0.613822i | \(0.789631\pi\) | |||||||
\(678\) | −69.9134 | + | 33.6685i | −2.68501 | + | 1.29303i | ||||
\(679\) | −12.6863 | −0.486855 | ||||||||
\(680\) | −3.29471 | + | 1.58665i | −0.126346 | + | 0.0608452i | ||||
\(681\) | −12.2558 | − | 15.3683i | −0.469645 | − | 0.588916i | ||||
\(682\) | 6.27921 | + | 7.87388i | 0.240443 | + | 0.301506i | ||||
\(683\) | −18.8938 | + | 9.09879i | −0.722952 | + | 0.348155i | −0.758908 | − | 0.651198i | \(-0.774267\pi\) |
0.0359558 | + | 0.999353i | \(0.488552\pi\) | |||||||
\(684\) | 64.9706 | 2.48421 | ||||||||
\(685\) | 10.8116 | − | 5.20660i | 0.413091 | − | 0.198934i | ||||
\(686\) | 9.11681 | + | 39.9433i | 0.348081 | + | 1.52504i | ||||
\(687\) | 7.64497 | + | 3.68163i | 0.291674 | + | 0.140463i | ||||
\(688\) | −9.69205 | − | 4.66744i | −0.369506 | − | 0.177945i | ||||
\(689\) | 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 | ||||
\(693\) | −0.737370 | + | 3.23063i | −0.0280104 | + | 0.122721i | ||||
\(694\) | −3.74094 | + | 4.69099i | −0.142004 | + | 0.178068i | ||||
\(695\) | −14.0000 | −0.531050 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −3.71573 | −0.140743 | ||||||||
\(698\) | 7.74014 | − | 9.70582i | 0.292968 | − | 0.367371i | ||||
\(699\) | −9.83836 | + | 43.1047i | −0.372121 | + | 1.63037i | ||||
\(700\) | −9.63821 | − | 42.2277i | −0.364290 | − | 1.59606i | ||||
\(701\) | −25.0099 | + | 31.3614i | −0.944609 | + | 1.18450i | 0.0380862 | + | 0.999274i | \(0.487874\pi\) |
−0.982696 | + | 0.185228i | \(0.940698\pi\) | |||||||
\(702\) | −2.38699 | − | 2.99318i | −0.0900910 | − | 0.112970i | ||||
\(703\) | 5.34050 | − | 23.3983i | 0.201421 | − | 0.882482i | ||||
\(704\) | −3.66791 | − | 1.76637i | −0.138239 | − | 0.0665726i | ||||
\(705\) | −7.05317 | − | 3.39663i | −0.265638 | − | 0.127924i | ||||
\(706\) | 14.4889 | + | 63.4802i | 0.545298 | + | 2.38911i | ||||
\(707\) | −5.97110 | + | 2.87553i | −0.224566 | + | 0.108145i | ||||
\(708\) | −33.7990 | −1.27024 | ||||||||
\(709\) | −26.2562 | + | 12.6443i | −0.986071 | + | 0.474867i | −0.856189 | − | 0.516663i | \(-0.827174\pi\) |
−0.129882 | + | 0.991529i | \(0.541460\pi\) | |||||||
\(710\) | −13.2889 | − | 16.6637i | −0.498723 | − | 0.625379i | ||||
\(711\) | −4.25745 | − | 5.33868i | −0.159667 | − | 0.200216i | ||||
\(712\) | −49.6548 | + | 23.9125i | −1.86089 | + | 0.896159i | ||||
\(713\) | 36.8284 | 1.37924 | ||||||||
\(714\) | −12.3044 | + | 5.92549i | −0.460481 | + | 0.221756i | ||||
\(715\) | 0.352871 | + | 1.54603i | 0.0131966 | + | 0.0578181i | ||||
\(716\) | 22.3696 | + | 10.7727i | 0.835993 | + | 0.402593i | ||||
\(717\) | 42.7562 | + | 20.5903i | 1.59676 | + | 0.768960i | ||||
\(718\) | 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 | ||||
\(722\) | 9.13262 | − | 40.0126i | 0.339881 | − | 1.48912i | ||||
\(723\) | −27.5665 | + | 34.5673i | −1.02521 | + | 1.28557i | ||||
\(724\) | 31.8284 | 1.18289 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 63.1127 | 2.34233 | ||||||||
\(727\) | 0.819084 | − | 1.02710i | 0.0303781 | − | 0.0380930i | −0.766410 | − | 0.642351i | \(-0.777959\pi\) |
0.796789 | + | 0.604258i | \(0.206530\pi\) | |||||||
\(728\) | 10.6363 | − | 46.6006i | 0.394207 | − | 1.72713i | ||||
\(729\) | 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 | ||||
\(733\) | 37.1693 | + | 17.8998i | 1.37288 | + | 0.661144i | 0.967469 | − | 0.252990i | \(-0.0814140\pi\) |
0.405411 | + | 0.914134i | \(0.367128\pi\) | |||||||
\(734\) | 39.1524 | + | 18.8548i | 1.44514 | + | 0.695943i | ||||
\(735\) | 0.537213 | + | 2.35368i | 0.0198154 | + | 0.0868169i | ||||
\(736\) | −5.22471 | + | 2.51609i | −0.192585 | + | 0.0927442i | ||||
\(737\) | −2.34315 | −0.0863109 | ||||||||
\(738\) | −27.5943 | + | 13.2887i | −1.01576 | + | 0.489165i | ||||
\(739\) | 2.53827 | + | 3.18289i | 0.0933717 | + | 0.117084i | 0.826323 | − | 0.563197i | \(-0.190429\pi\) |
−0.732951 | + | 0.680282i | \(0.761857\pi\) | |||||||
\(740\) | 9.54794 | + | 11.9727i | 0.350989 | + | 0.440127i | ||||
\(741\) | 49.9640 | − | 24.0614i | 1.83547 | − | 0.883917i | ||||
\(742\) | 64.7696 | 2.37777 | ||||||||
\(743\) | −21.3141 | + | 10.2643i | −0.781938 | + | 0.376562i | −0.781872 | − | 0.623438i | \(-0.785735\pi\) |
−6.56698e−5 | 1.00000i | \(0.500021\pi\) | ||||||||
\(744\) | 23.8823 | + | 104.635i | 0.875566 | + | 3.83611i | ||||
\(745\) | −7.05317 | − | 3.39663i | −0.258408 | − | 0.124443i | ||||
\(746\) | −57.2358 | − | 27.5633i | −2.09555 | − | 1.00916i | ||||
\(747\) | −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 | ||||
\(751\) | −5.63283 | + | 24.6790i | −0.205545 | + | 0.900551i | 0.761945 | + | 0.647642i | \(0.224245\pi\) |
−0.967490 | + | 0.252909i | \(0.918613\pi\) | |||||||
\(752\) | −6.06526 | + | 7.60560i | −0.221177 | + | 0.277348i | ||||
\(753\) | 48.4558 | 1.76583 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 14.1421 | 0.514685 | ||||||||
\(756\) | 2.79653 | − | 3.50673i | 0.101709 | − | 0.127539i | ||||
\(757\) | −5.67756 | + | 24.8750i | −0.206354 | + | 0.904098i | 0.760615 | + | 0.649204i | \(0.224898\pi\) |
−0.966969 | + | 0.254894i | \(0.917959\pi\) | |||||||
\(758\) | −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 | \(0.761778\pi\) | |||||||
\(762\) | −22.8069 | − | 10.9832i | −0.826205 | − | 0.397880i | ||||
\(763\) | 32.2538 | + | 15.5326i | 1.16767 | + | 0.562318i | ||||
\(764\) | −21.5649 | − | 94.4819i | −0.780190 | − | 3.41824i | ||||
\(765\) | 2.11110 | − | 1.01665i | 0.0763270 | − | 0.0367572i | ||||
\(766\) | 8.48528 | 0.306586 | ||||||||
\(767\) | −12.6136 | + | 6.07437i | −0.455449 | + | 0.219333i | ||||
\(768\) | −45.1128 | − | 56.5697i | −1.62787 | − | 2.04128i | ||||
\(769\) | −30.6213 | − | 38.3979i | −1.10423 | − | 1.38466i | −0.915349 | − | 0.402662i | \(-0.868085\pi\) |
−0.188883 | − | 0.982000i | \(-0.560487\pi\) | |||||||
\(770\) | −2.54832 | + | 1.22721i | −0.0918353 | + | 0.0442255i | ||||
\(771\) | −43.8701 | −1.57994 | ||||||||
\(772\) | 17.8383 | − | 8.59046i | 0.642014 | − | 0.309177i | ||||
\(773\) | 4.34243 | + | 19.0254i | 0.156186 | + | 0.684298i | 0.991011 | + | 0.133781i | \(0.0427120\pi\) |
−0.834824 | + | 0.550516i | \(0.814431\pi\) | |||||||
\(774\) | 22.0605 | + | 10.6238i | 0.792947 | + | 0.381863i | ||||
\(775\) | 36.2949 | + | 17.4787i | 1.30375 | + | 0.627853i | ||||
\(776\) | 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 | ||||
\(780\) | −7.87385 | + | 34.4976i | −0.281929 | + | 1.23521i | ||||
\(781\) | 2.28001 | − | 2.85904i | 0.0815852 | − | 0.102305i | ||||
\(782\) | −7.31371 | −0.261538 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 3.00000 | 0.107143 | ||||||||
\(785\) | −5.29049 | + | 6.63406i | −0.188826 | + | 0.236780i | ||||
\(786\) | 27.6428 | − | 121.111i | 0.985984 | − | 4.31988i | ||||
\(787\) | 12.0347 | + | 52.7273i | 0.428989 | + | 1.87952i | 0.473977 | + | 0.880537i | \(0.342818\pi\) |
−0.0449881 | + | 0.998988i | \(0.514325\pi\) | |||||||
\(788\) | 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 | ||||
\(791\) | −33.9277 | − | 16.3387i | −1.20633 | − | 0.580937i | ||||
\(792\) | −4.65943 | − | 2.24386i | −0.165565 | − | 0.0797321i | ||||
\(793\) | −4.11336 | − | 18.0218i | −0.146070 | − | 0.639973i | ||||
\(794\) | 42.0739 | − | 20.2617i | 1.49315 | − | 0.719061i | ||||
\(795\) | −22.8995 | −0.812161 | ||||||||
\(796\) | 1.67388 | − | 0.806097i | 0.0593290 | − | 0.0285714i | ||||
\(797\) | 32.2594 | + | 40.4521i | 1.14269 | + | 1.43289i | 0.884346 | + | 0.466832i | \(0.154605\pi\) |
0.258342 | + | 0.966054i | \(0.416824\pi\) | |||||||
\(798\) | 61.6704 | + | 77.3323i | 2.18311 | + | 2.73753i | ||||
\(799\) | 2.42027 | − | 1.16554i | 0.0856228 | − | 0.0412338i | ||||
\(800\) | −6.34315 | −0.224264 | ||||||||
\(801\) | 31.8166 | − | 15.3220i | 1.12418 | − | 0.541378i | ||||
\(802\) | −10.0227 | − | 43.9123i | −0.353914 | − | 1.55060i | ||||
\(803\) | 1.49277 | + | 0.718882i | 0.0526789 | + | 0.0253688i | ||||
\(804\) | −47.1065 | − | 22.6853i | −1.66132 | − | 0.800049i | ||||
\(805\) | −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 | ||||
\(809\) | −8.07401 | + | 35.3745i | −0.283867 | + | 1.24370i | 0.608923 | + | 0.793230i | \(0.291602\pi\) |
−0.892790 | + | 0.450473i | \(0.851255\pi\) | |||||||
\(810\) | −14.2776 | + | 17.9035i | −0.501664 | + | 0.629066i | ||||
\(811\) | 10.8284 | 0.380238 | 0.190119 | − | 0.981761i | \(-0.439113\pi\) | ||||
0.190119 | + | 0.981761i | \(0.439113\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 39.9706 | 1.40183 | ||||||||
\(814\) | −2.49396 | + | 3.12733i | −0.0874132 | + | 0.109613i | ||||
\(815\) | 0.874270 | − | 3.83043i | 0.0306243 | − | 0.134174i | ||||
\(816\) | −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 | ||||
\(820\) | −15.4711 | − | 7.45047i | −0.540273 | − | 0.260182i | ||||
\(821\) | 1.33819 | + | 0.644439i | 0.0467032 | + | 0.0224911i | 0.457090 | − | 0.889421i | \(-0.348892\pi\) |
−0.410386 | + | 0.911912i | \(0.634606\pi\) | |||||||
\(822\) | 15.5634 | + | 68.1876i | 0.542835 | + | 2.37831i | ||||
\(823\) | 48.9084 | − | 23.5531i | 1.70484 | − | 0.821008i | 0.711916 | − | 0.702265i | \(-0.247828\pi\) |
0.992925 | − | 0.118744i | \(-0.0378866\pi\) | |||||||
\(824\) | 21.3137 | 0.742498 | ||||||||
\(825\) | −3.60388 | + | 1.73553i | −0.125471 | + | 0.0604236i | ||||
\(826\) | −15.5689 | − | 19.5228i | −0.541711 | − | 0.679284i | ||||
\(827\) | 20.5125 | + | 25.7219i | 0.713289 | + | 0.894437i | 0.997937 | − | 0.0641954i | \(-0.0204481\pi\) |
−0.284648 | + | 0.958632i | \(0.591877\pi\) | |||||||
\(828\) | −35.6765 | + | 17.1809i | −1.23985 | + | 0.597078i | ||||
\(829\) | −29.7990 | −1.03496 | −0.517481 | − | 0.855695i | \(-0.673130\pi\) | ||||
−0.517481 | + | 0.855695i | \(0.673130\pi\) | |||||||
\(830\) | −16.6547 | + | 8.02046i | −0.578092 | + | 0.278394i | ||||
\(831\) | 9.30115 | + | 40.7510i | 0.322653 | + | 1.41364i | ||||
\(832\) | −33.9011 | − | 16.3259i | −1.17531 | − | 0.566000i | ||||
\(833\) | −0.746387 | − | 0.359441i | −0.0258608 | − | 0.0124539i | ||||
\(834\) | 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 | ||||
\(838\) | −5.11143 | + | 22.3946i | −0.176571 | + | 0.773610i | ||||
\(839\) | −4.94361 | + | 6.19909i | −0.170672 | + | 0.214016i | −0.859810 | − | 0.510614i | \(-0.829418\pi\) |
0.689138 | + | 0.724630i | \(0.257990\pi\) | |||||||
\(840\) | −30.1421 | −1.04000 | ||||||||
\(841\) | 0 | 0 | ||||||||
\(842\) | −89.5980 | −3.08775 | ||||||||
\(843\) | 48.1233 | − | 60.3447i | 1.65745 | − | 2.07838i | ||||
\(844\) | 16.5140 | − | 72.3525i | 0.568435 | − | 2.49048i | ||||
\(845\) | 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 | ||||
\(849\) | −25.3552 | − | 12.2104i | −0.870188 | − | 0.419060i | ||||
\(850\) | −7.20775 | − | 3.47107i | −0.247224 | − | 0.119057i | ||||
\(851\) | 3.25491 | + | 14.2607i | 0.111577 | + | 0.488850i | ||||
\(852\) | 73.5172 | − | 35.4040i | 2.51866 | − | 1.21292i | ||||
\(853\) | −22.9706 | −0.786497 | −0.393249 | − | 0.919432i | \(-0.628649\pi\) | ||||
−0.393249 | + | 0.919432i | \(0.628649\pi\) | |||||||
\(854\) | 29.7055 | − | 14.3054i | 1.01650 | − | 0.489520i | ||||
\(855\) | −10.5810 | − | 13.2681i | −0.361862 | − | 0.453760i | ||||
\(856\) | 40.8111 | + | 51.1754i | 1.39489 | + | 1.74914i | ||||
\(857\) | 5.56040 | − | 2.67775i | 0.189939 | − | 0.0914700i | −0.336497 | − | 0.941685i | \(-0.609242\pi\) |
0.526436 | + | 0.850215i | \(0.323528\pi\) | |||||||
\(858\) | −9.24264 | −0.315539 | ||||||||
\(859\) | −17.7742 | + | 8.55962i | −0.606449 | + | 0.292051i | −0.711797 | − | 0.702385i | \(-0.752119\pi\) |
0.105348 | + | 0.994435i | \(0.466404\pi\) | |||||||
\(860\) | 3.05475 | + | 13.3837i | 0.104166 | + | 0.456382i | ||||
\(861\) | −27.5943 | − | 13.2887i | −0.940413 | − | 0.452879i | ||||
\(862\) | 42.7562 | + | 20.5903i | 1.45628 | + | 0.701309i | ||||
\(863\) | −3.80793 | + | 16.6836i | −0.129624 | + | 0.567918i | 0.867847 | + | 0.496832i | \(0.165504\pi\) |
−0.997470 | + | 0.0710858i | \(0.977354\pi\) | |||||||
\(864\) | −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 | ||||
\(867\) | 8.76394 | − | 38.3973i | 0.297639 | − | 1.30404i | ||||
\(868\) | −67.9939 | + | 85.2617i | −2.30786 | + | 2.89397i | ||||
\(869\) | 1.00000 | 0.0339227 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −21.6569 | −0.733815 | ||||||||
\(872\) | −34.8344 | + | 43.6810i | −1.17964 | + | 1.47922i | ||||
\(873\) | −2.82297 | + | 12.3682i | −0.0955429 | + | 0.418601i | ||||
\(874\) | 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 | \(-0.144330\pi\) | |||||||
\(878\) | −0.746387 | − | 0.359441i | −0.0251893 | − | 0.0121305i | ||||
\(879\) | −16.6547 | − | 8.02046i | −0.561748 | − | 0.270524i | ||||
\(880\) | −0.276514 | − | 1.21149i | −0.00932127 | − | 0.0408392i | ||||
\(881\) | −12.6136 | + | 6.07437i | −0.424962 | + | 0.204651i | −0.634126 | − | 0.773230i | \(-0.718640\pi\) |
0.209164 | + | 0.977881i | \(0.432926\pi\) | |||||||
\(882\) | −6.82843 | −0.229925 | ||||||||
\(883\) | −34.6210 | + | 16.6726i | −1.16509 | + | 0.561077i | −0.913533 | − | 0.406765i | \(-0.866657\pi\) |
−0.251557 | + | 0.967843i | \(0.580942\pi\) | |||||||
\(884\) | −7.57050 | − | 9.49310i | −0.254623 | − | 0.319288i | ||||
\(885\) | 5.50443 | + | 6.90234i | 0.185030 | + | 0.232020i | ||||
\(886\) | −52.9495 | + | 25.4992i | −1.77887 | + | 0.856661i | ||||
\(887\) | 17.1005 | 0.574179 | 0.287089 | − | 0.957904i | \(-0.407312\pi\) | ||||
0.287089 | + | 0.957904i | \(0.407312\pi\) | |||||||
\(888\) | −38.4060 | + | 18.4953i | −1.28882 | + | 0.620663i | ||||
\(889\) | −2.73351 | − | 11.9763i | −0.0916789 | − | 0.401672i | ||||
\(890\) | 27.1571 | + | 13.0782i | 0.910309 | + | 0.438382i | ||||
\(891\) | −3.53985 | − | 1.70470i | −0.118589 | − | 0.0571096i | ||||
\(892\) | 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 | ||||
\(896\) | 12.9378 | − | 56.6844i | 0.432223 | − | 1.89369i | ||||
\(897\) | −21.0733 | + | 26.4251i | −0.703618 | + | 0.882309i | ||||
\(898\) | 84.4264 | 2.81735 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −43.3137 | −1.44379 | ||||||||
\(901\) | 4.89930 | − | 6.14353i | 0.163219 | − | 0.204671i | ||||
\(902\) | 0.998069 | − | 4.37283i | 0.0332321 | − | 0.145599i | ||||
\(903\) | 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 | ||||
\(907\) | −20.0774 | − | 9.66878i | −0.666660 | − | 0.321047i | 0.0697671 | − | 0.997563i | \(-0.477774\pi\) |
−0.736427 | + | 0.676517i | \(0.763489\pi\) | |||||||
\(908\) | 28.0846 | + | 13.5248i | 0.932021 | + | 0.448838i | ||||
\(909\) | 1.47474 | + | 6.46125i | 0.0489140 | + | 0.214306i | ||||
\(910\) | −23.5533 | + | 11.3426i | −0.780783 | + | 0.376005i | ||||
\(911\) | −15.4437 | −0.511671 | −0.255835 | − | 0.966720i | \(-0.582351\pi\) | ||||
−0.255835 | + | 0.966720i | \(0.582351\pi\) | |||||||
\(912\) | −39.1524 | + | 18.8548i | −1.29646 | + | 0.624344i | ||||
\(913\) | −1.97744 | − | 2.47964i | −0.0654438 | − | 0.0820640i | ||||
\(914\) | −1.54955 | − | 1.94307i | −0.0512545 | − | 0.0642711i | ||||
\(915\) | −10.5025 | + | 5.05772i | −0.347201 | + | 0.167203i | ||||
\(916\) | −13.4558 | −0.444594 | ||||||||
\(917\) | 54.3143 | − | 26.1564i | 1.79361 | − | 0.863759i | ||||
\(918\) | −0.184342 | − | 0.807657i | −0.00608421 | − | 0.0266566i | ||||
\(919\) | −7.33581 | − | 3.53274i | −0.241986 | − | 0.116534i | 0.308960 | − | 0.951075i | \(-0.400019\pi\) |
−0.550947 | + | 0.834541i | \(0.685733\pi\) | |||||||
\(920\) | −14.5436 | − | 7.00381i | −0.479487 | − | 0.230909i | ||||
\(921\) | −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 | ||||
\(925\) | −3.56033 | + | 15.5988i | −0.117063 | + | 0.512887i | ||||
\(926\) | 39.1362 | − | 49.0752i | 1.28609 | − | 1.61271i | ||||
\(927\) | −13.6569 | −0.448550 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 18.6863 | 0.613077 | 0.306539 | − | 0.951858i | \(-0.400829\pi\) | ||||
0.306539 | + | 0.951858i | \(0.400829\pi\) | |||||||
\(930\) | 36.5979 | − | 45.8923i | 1.20009 | − | 1.50487i | ||||
\(931\) | −1.33513 | + | 5.84957i | −0.0437570 | + | 0.191712i | ||||
\(932\) | −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 | ||||
\(936\) | −43.0654 | − | 20.7392i | −1.40764 | − | 0.677882i | ||||
\(937\) | 14.9808 | + | 7.21437i | 0.489401 | + | 0.235683i | 0.662275 | − | 0.749261i | \(-0.269591\pi\) |
−0.172874 | + | 0.984944i | \(0.555305\pi\) | |||||||
\(938\) | −8.59541 | − | 37.6589i | −0.280650 | − | 1.22961i | ||||
\(939\) | −21.3781 | + | 10.2952i | −0.697649 | + | 0.335970i | ||||
\(940\) | 12.4142 | 0.404907 | ||||||||
\(941\) | 50.9930 | − | 24.5569i | 1.66232 | − | 0.800533i | 0.663706 | − | 0.747994i | \(-0.268983\pi\) |
0.998619 | − | 0.0525400i | \(-0.0167317\pi\) | |||||||
\(942\) | −30.8352 | − | 38.6661i | −1.00467 | − | 1.25981i | ||||
\(943\) | −10.2265 | − | 12.8236i | −0.333020 | − | 0.417594i | ||||
\(944\) | 9.88414 | − | 4.75995i | 0.321701 | − | 0.154923i | ||||
\(945\) | −1.17157 | −0.0381113 | ||||||||
\(946\) | −3.23068 | + | 1.55581i | −0.105039 | + | 0.0505839i | ||||
\(947\) | −0.581942 | − | 2.54965i | −0.0189106 | − | 0.0828526i | 0.964592 | − | 0.263746i | \(-0.0849582\pi\) |
−0.983503 | + | 0.180894i | \(0.942101\pi\) | |||||||
\(948\) | 20.1040 | + | 9.68156i | 0.652946 | + | 0.314442i | ||||
\(949\) | 13.7972 | + | 6.64437i | 0.447875 | + | 0.215685i | ||||
\(950\) | −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 | \(0.732778\pi\) | |||||||
\(954\) | 14.4126 | − | 63.1456i | 0.466625 | − | 2.04442i | ||||
\(955\) | −15.7828 | + | 19.7911i | −0.510721 | + | 0.640423i | ||||
\(956\) | −75.2548 | −2.43392 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −16.6569 | −0.538159 | ||||||||
\(959\) | −21.1619 | + | 26.5362i | −0.683355 | + | 0.856900i | ||||
\(960\) | −5.27996 | + | 23.1330i | −0.170410 | + | 0.746615i | ||||
\(961\) | −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 | ||||
\(965\) | −4.65943 | − | 2.24386i | −0.149992 | − | 0.0722325i | ||||
\(966\) | −54.3143 | − | 26.1564i | −1.74753 | − | 0.841567i | ||||
\(967\) | 7.84223 | + | 34.3590i | 0.252189 | + | 1.10491i | 0.929386 | + | 0.369110i | \(0.120337\pi\) |
−0.677197 | + | 0.735802i | \(0.736805\pi\) | |||||||
\(968\) | −43.0654 | + | 20.7392i | −1.38417 | + | 0.666583i | ||||
\(969\) | 12.0000 | 0.385496 | ||||||||
\(970\) | −9.75608 | + | 4.69828i | −0.313249 | + | 0.150853i | ||||
\(971\) | −9.76189 | − | 12.2410i | −0.313274 | − | 0.392833i | 0.600120 | − | 0.799910i | \(-0.295120\pi\) |
−0.913394 | + | 0.407077i | \(0.866548\pi\) | |||||||
\(972\) | −51.6946 | − | 64.8230i | −1.65810 | − | 2.07920i | ||||
\(973\) | 35.6765 | − | 17.1809i | 1.14374 | − | 0.550795i | ||||
\(974\) | 27.7990 | 0.890737 | ||||||||
\(975\) | −33.3093 | + | 16.0409i | −1.06675 | + | 0.513721i | ||||
\(976\) | 3.22328 | + | 14.1221i | 0.103175 | + | 0.452038i | ||||
\(977\) | −32.5895 | − | 15.6943i | −1.04263 | − | 0.502104i | −0.167439 | − | 0.985882i | \(-0.553550\pi\) |
−0.875190 | + | 0.483779i | \(0.839264\pi\) | |||||||
\(978\) | 20.6317 | + | 9.93572i | 0.659730 | + | 0.317709i | ||||
\(979\) | −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 | ||||
\(983\) | 4.86655 | − | 21.3217i | 0.155219 | − | 0.680058i | −0.836100 | − | 0.548577i | \(-0.815170\pi\) |
0.991319 | − | 0.131481i | \(-0.0419731\pi\) | |||||||
\(984\) | 29.8022 | − | 37.3708i | 0.950059 | − | 1.19134i | ||||
\(985\) | −2.00000 | −0.0637253 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 22.1421 | 0.704792 | ||||||||
\(988\) | −54.8304 | + | 68.7551i | −1.74439 | + | 2.18739i | ||||
\(989\) | −2.91785 | + | 12.7839i | −0.0927822 | + | 0.406506i | ||||
\(990\) | 0.629384 | + | 2.75751i | 0.0200031 | + | 0.0876395i | ||||
\(991\) | −7.99839 | + | 10.0297i | −0.254077 | + | 0.318603i | −0.892469 | − | 0.451109i | \(-0.851029\pi\) |
0.638392 | + | 0.769712i | \(0.279600\pi\) | |||||||
\(992\) | 9.95748 | + | 12.4863i | 0.316150 | + | 0.396440i | ||||
\(993\) | 1.29695 | − | 5.68230i | 0.0411574 | − | 0.180322i | ||||
\(994\) | 54.3143 | + | 26.1564i | 1.72274 | + | 0.829630i | ||||
\(995\) | −0.437223 | − | 0.210556i | −0.0138609 | − | 0.00667506i | ||||
\(996\) | −15.7477 | − | 68.9952i | −0.498985 | − | 2.18620i | ||||
\(997\) | −25.4832 | + | 12.2721i | −0.807063 | + | 0.388661i | −0.791463 | − | 0.611217i | \(-0.790680\pi\) |
−0.0155999 | + | 0.999878i | \(0.504966\pi\) | |||||||
\(998\) | −45.7990 | −1.44974 | ||||||||
\(999\) | −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 \(a_p\))