Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(64,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.q (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 8 x^{19} + 40 x^{18} - 117 x^{17} + 295 x^{16} - 575 x^{15} + 1777 x^{14} - 1560 x^{13} + \cdots + 2374681 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 85.1 | ||
Root | \(-1.29470 - 1.49416i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 483.85 |
Dual form | 483.2.q.c.358.1 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{4}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.544078 | + | 0.627899i | −0.384721 | + | 0.443992i | −0.914770 | − | 0.403975i | \(-0.867628\pi\) |
0.530049 | + | 0.847967i | \(0.322174\pi\) | |||||||
\(3\) | 0.841254 | − | 0.540641i | 0.485698 | − | 0.312139i | ||||
\(4\) | 0.186393 | + | 1.29639i | 0.0931964 | + | 0.648195i | ||||
\(5\) | −1.36538 | − | 2.98976i | −0.610616 | − | 1.33706i | −0.922152 | − | 0.386828i | \(-0.873571\pi\) |
0.311536 | − | 0.950234i | \(-0.399157\pi\) | |||||||
\(6\) | −0.118239 | + | 0.822373i | −0.0482710 | + | 0.335733i | ||||
\(7\) | −0.959493 | + | 0.281733i | −0.362654 | + | 0.106485i | ||||
\(8\) | −2.31329 | − | 1.48666i | −0.817872 | − | 0.525615i | ||||
\(9\) | 0.415415 | − | 0.909632i | 0.138472 | − | 0.303211i | ||||
\(10\) | 2.62014 | + | 0.769343i | 0.828562 | + | 0.243288i | ||||
\(11\) | −0.745196 | − | 0.860003i | −0.224685 | − | 0.259301i | 0.632203 | − | 0.774803i | \(-0.282151\pi\) |
−0.856888 | + | 0.515502i | \(0.827605\pi\) | |||||||
\(12\) | 0.857685 | + | 0.989821i | 0.247592 | + | 0.285737i | ||||
\(13\) | 4.40350 | + | 1.29298i | 1.22131 | + | 0.358609i | 0.827964 | − | 0.560781i | \(-0.189499\pi\) |
0.393346 | + | 0.919390i | \(0.371317\pi\) | |||||||
\(14\) | 0.345139 | − | 0.755750i | 0.0922423 | − | 0.201983i | ||||
\(15\) | −2.76502 | − | 1.77697i | −0.713924 | − | 0.458811i | ||||
\(16\) | −0.321251 | + | 0.0943278i | −0.0803127 | + | 0.0235819i | ||||
\(17\) | 0.756849 | − | 5.26400i | 0.183563 | − | 1.27671i | −0.664691 | − | 0.747119i | \(-0.731437\pi\) |
0.848254 | − | 0.529590i | \(-0.177654\pi\) | |||||||
\(18\) | 0.345139 | + | 0.755750i | 0.0813501 | + | 0.178132i | ||||
\(19\) | −1.11011 | − | 7.72097i | −0.254676 | − | 1.77131i | −0.569334 | − | 0.822106i | \(-0.692799\pi\) |
0.314658 | − | 0.949205i | \(-0.398110\pi\) | |||||||
\(20\) | 3.62140 | − | 2.32733i | 0.809770 | − | 0.520408i | ||||
\(21\) | −0.654861 | + | 0.755750i | −0.142902 | + | 0.164918i | ||||
\(22\) | 0.945440 | 0.201569 | ||||||||
\(23\) | 1.20850 | − | 4.64107i | 0.251990 | − | 0.967730i | ||||
\(24\) | −2.74982 | −0.561304 | ||||||||
\(25\) | −3.80012 | + | 4.38557i | −0.760023 | + | 0.877114i | ||||
\(26\) | −3.20771 | + | 2.06147i | −0.629083 | + | 0.404287i | ||||
\(27\) | −0.142315 | − | 0.989821i | −0.0273885 | − | 0.190491i | ||||
\(28\) | −0.544078 | − | 1.19136i | −0.102821 | − | 0.225147i | ||||
\(29\) | −1.10574 | + | 7.69057i | −0.205330 | + | 1.42810i | 0.582811 | + | 0.812608i | \(0.301953\pi\) |
−0.788141 | + | 0.615495i | \(0.788956\pi\) | |||||||
\(30\) | 2.62014 | − | 0.769343i | 0.478370 | − | 0.140462i | ||||
\(31\) | −2.20103 | − | 1.41452i | −0.395317 | − | 0.254055i | 0.327848 | − | 0.944731i | \(-0.393677\pi\) |
−0.723164 | + | 0.690676i | \(0.757313\pi\) | |||||||
\(32\) | 2.40019 | − | 5.25568i | 0.424297 | − | 0.929081i | ||||
\(33\) | −1.09185 | − | 0.320597i | −0.190067 | − | 0.0558087i | ||||
\(34\) | 2.89348 | + | 3.33925i | 0.496228 | + | 0.572677i | ||||
\(35\) | 2.15238 | + | 2.48398i | 0.363819 | + | 0.419870i | ||||
\(36\) | 1.25667 | + | 0.368991i | 0.209445 | + | 0.0614985i | ||||
\(37\) | 1.90070 | − | 4.16195i | 0.312473 | − | 0.684221i | −0.686610 | − | 0.727026i | \(-0.740902\pi\) |
0.999083 | + | 0.0428050i | \(0.0136294\pi\) | |||||||
\(38\) | 5.45198 | + | 3.50377i | 0.884427 | + | 0.568387i | ||||
\(39\) | 4.40350 | − | 1.29298i | 0.705124 | − | 0.207043i | ||||
\(40\) | −1.28625 | + | 8.94605i | −0.203374 | + | 1.41450i | ||||
\(41\) | −0.343258 | − | 0.751631i | −0.0536080 | − | 0.117385i | 0.880933 | − | 0.473242i | \(-0.156916\pi\) |
−0.934540 | + | 0.355857i | \(0.884189\pi\) | |||||||
\(42\) | −0.118239 | − | 0.822373i | −0.0182447 | − | 0.126895i | ||||
\(43\) | −2.23375 | + | 1.43554i | −0.340643 | + | 0.218918i | −0.699766 | − | 0.714372i | \(-0.746712\pi\) |
0.359123 | + | 0.933290i | \(0.383076\pi\) | |||||||
\(44\) | 0.976000 | − | 1.12636i | 0.147138 | − | 0.169806i | ||||
\(45\) | −3.28678 | −0.489965 | ||||||||
\(46\) | 2.25661 | + | 3.28392i | 0.332719 | + | 0.484188i | ||||
\(47\) | 5.46214 | 0.796735 | 0.398367 | − | 0.917226i | \(-0.369577\pi\) | ||||
0.398367 | + | 0.917226i | \(0.369577\pi\) | |||||||
\(48\) | −0.219256 | + | 0.253035i | −0.0316469 | + | 0.0365225i | ||||
\(49\) | 0.841254 | − | 0.540641i | 0.120179 | − | 0.0772344i | ||||
\(50\) | −0.686136 | − | 4.77218i | −0.0970343 | − | 0.674889i | ||||
\(51\) | −2.20923 | − | 4.83755i | −0.309354 | − | 0.677392i | ||||
\(52\) | −0.855431 | + | 5.94965i | −0.118627 | + | 0.825068i | ||||
\(53\) | −10.0236 | + | 2.94321i | −1.37685 | + | 0.404281i | −0.884673 | − | 0.466212i | \(-0.845618\pi\) |
−0.492181 | + | 0.870493i | \(0.663800\pi\) | |||||||
\(54\) | 0.698939 | + | 0.449181i | 0.0951135 | + | 0.0611257i | ||||
\(55\) | −1.55373 | + | 3.40219i | −0.209505 | + | 0.458751i | ||||
\(56\) | 2.63843 | + | 0.774713i | 0.352575 | + | 0.103525i | ||||
\(57\) | −5.10815 | − | 5.89512i | −0.676591 | − | 0.780828i | ||||
\(58\) | −4.22730 | − | 4.87856i | −0.555071 | − | 0.640586i | ||||
\(59\) | 5.91966 | + | 1.73817i | 0.770674 | + | 0.226290i | 0.643352 | − | 0.765571i | \(-0.277543\pi\) |
0.127323 | + | 0.991861i | \(0.459362\pi\) | |||||||
\(60\) | 1.78827 | − | 3.91576i | 0.230864 | − | 0.505522i | ||||
\(61\) | 0.526144 | + | 0.338132i | 0.0673658 | + | 0.0432934i | 0.573890 | − | 0.818932i | \(-0.305434\pi\) |
−0.506524 | + | 0.862226i | \(0.669070\pi\) | |||||||
\(62\) | 2.08571 | − | 0.612418i | 0.264885 | − | 0.0777772i | ||||
\(63\) | −0.142315 | + | 0.989821i | −0.0179300 | + | 0.124706i | ||||
\(64\) | 1.71597 | + | 3.75746i | 0.214497 | + | 0.469682i | ||||
\(65\) | −2.14673 | − | 14.9308i | −0.266269 | − | 1.85194i | ||||
\(66\) | 0.795355 | − | 0.511144i | 0.0979014 | − | 0.0629174i | ||||
\(67\) | −1.30818 | + | 1.50972i | −0.159819 | + | 0.184441i | −0.830011 | − | 0.557746i | \(-0.811666\pi\) |
0.670192 | + | 0.742188i | \(0.266212\pi\) | |||||||
\(68\) | 6.96528 | 0.844664 | ||||||||
\(69\) | −1.49250 | − | 4.55768i | −0.179676 | − | 0.548680i | ||||
\(70\) | −2.73076 | −0.326388 | ||||||||
\(71\) | 5.90266 | − | 6.81203i | 0.700517 | − | 0.808439i | −0.288306 | − | 0.957538i | \(-0.593092\pi\) |
0.988822 | + | 0.149099i | \(0.0476374\pi\) | |||||||
\(72\) | −2.31329 | + | 1.48666i | −0.272624 | + | 0.175205i | ||||
\(73\) | 1.55836 | + | 10.8386i | 0.182392 | + | 1.26857i | 0.851085 | + | 0.525028i | \(0.175945\pi\) |
−0.668692 | + | 0.743539i | \(0.733146\pi\) | |||||||
\(74\) | 1.57916 | + | 3.45787i | 0.183573 | + | 0.401970i | ||||
\(75\) | −0.825844 | + | 5.74387i | −0.0953603 | + | 0.663245i | ||||
\(76\) | 9.80247 | − | 2.87827i | 1.12442 | − | 0.330160i | ||||
\(77\) | 0.957302 | + | 0.615220i | 0.109095 | + | 0.0701109i | ||||
\(78\) | −1.58398 | + | 3.46844i | −0.179351 | + | 0.392723i | ||||
\(79\) | 4.53700 | + | 1.33218i | 0.510452 | + | 0.149882i | 0.526809 | − | 0.849984i | \(-0.323388\pi\) |
−0.0163564 | + | 0.999866i | \(0.505207\pi\) | |||||||
\(80\) | 0.720647 | + | 0.831671i | 0.0805708 | + | 0.0929836i | ||||
\(81\) | −0.654861 | − | 0.755750i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | 0.658708 | + | 0.193414i | 0.0727422 | + | 0.0213590i | ||||
\(83\) | 2.51274 | − | 5.50214i | 0.275809 | − | 0.603938i | −0.720142 | − | 0.693826i | \(-0.755924\pi\) |
0.995952 | + | 0.0898878i | \(0.0286509\pi\) | |||||||
\(84\) | −1.10181 | − | 0.708089i | −0.120217 | − | 0.0772588i | ||||
\(85\) | −16.7715 | + | 4.92456i | −1.81913 | + | 0.534143i | ||||
\(86\) | 0.313957 | − | 2.18362i | 0.0338548 | − | 0.235465i | ||||
\(87\) | 3.22763 | + | 7.06752i | 0.346038 | + | 0.757718i | ||||
\(88\) | 0.445324 | + | 3.09729i | 0.0474716 | + | 0.330173i | ||||
\(89\) | −11.7309 | + | 7.53899i | −1.24347 | + | 0.799131i | −0.985934 | − | 0.167137i | \(-0.946548\pi\) |
−0.257538 | + | 0.966268i | \(0.582911\pi\) | |||||||
\(90\) | 1.78827 | − | 2.06377i | 0.188500 | − | 0.217540i | ||||
\(91\) | −4.58940 | −0.481100 | ||||||||
\(92\) | 6.24189 | + | 0.701625i | 0.650762 | + | 0.0731494i | ||||
\(93\) | −2.61637 | −0.271305 | ||||||||
\(94\) | −2.97183 | + | 3.42967i | −0.306521 | + | 0.353744i | ||||
\(95\) | −21.5681 | + | 13.8610i | −2.21284 | + | 1.42211i | ||||
\(96\) | −0.822267 | − | 5.71900i | −0.0839223 | − | 0.583692i | ||||
\(97\) | 1.80562 | + | 3.95375i | 0.183333 | + | 0.401442i | 0.978876 | − | 0.204454i | \(-0.0655419\pi\) |
−0.795544 | + | 0.605896i | \(0.792815\pi\) | |||||||
\(98\) | −0.118239 | + | 0.822373i | −0.0119440 | + | 0.0830723i | ||||
\(99\) | −1.09185 | + | 0.320597i | −0.109735 | + | 0.0322212i | ||||
\(100\) | −6.39372 | − | 4.10900i | −0.639372 | − | 0.410900i | ||||
\(101\) | 0.218438 | − | 0.478311i | 0.0217353 | − | 0.0475938i | −0.898453 | − | 0.439070i | \(-0.855308\pi\) |
0.920188 | + | 0.391476i | \(0.128035\pi\) | |||||||
\(102\) | 4.23949 | + | 1.24483i | 0.419772 | + | 0.123256i | ||||
\(103\) | 9.56763 | + | 11.0416i | 0.942726 | + | 1.08796i | 0.995997 | + | 0.0893842i | \(0.0284899\pi\) |
−0.0532708 | + | 0.998580i | \(0.516965\pi\) | |||||||
\(104\) | −8.26434 | − | 9.53756i | −0.810386 | − | 0.935235i | ||||
\(105\) | 3.15364 | + | 0.925994i | 0.307764 | + | 0.0903677i | ||||
\(106\) | 3.60561 | − | 7.89518i | 0.350208 | − | 0.766848i | ||||
\(107\) | 12.4273 | + | 7.98657i | 1.20140 | + | 0.772091i | 0.979197 | − | 0.202910i | \(-0.0650399\pi\) |
0.222200 | + | 0.975001i | \(0.428676\pi\) | |||||||
\(108\) | 1.25667 | − | 0.368991i | 0.120923 | − | 0.0355062i | ||||
\(109\) | 0.991819 | − | 6.89825i | 0.0949990 | − | 0.660733i | −0.885562 | − | 0.464520i | \(-0.846227\pi\) |
0.980561 | − | 0.196212i | \(-0.0628642\pi\) | |||||||
\(110\) | −1.29088 | − | 2.82664i | −0.123081 | − | 0.269510i | ||||
\(111\) | −0.651151 | − | 4.52885i | −0.0618045 | − | 0.429860i | ||||
\(112\) | 0.281663 | − | 0.181014i | 0.0266146 | − | 0.0171042i | ||||
\(113\) | −12.1619 | + | 14.0356i | −1.14410 | + | 1.32036i | −0.204190 | + | 0.978931i | \(0.565456\pi\) |
−0.939908 | + | 0.341428i | \(0.889089\pi\) | |||||||
\(114\) | 6.48078 | 0.606980 | ||||||||
\(115\) | −15.5258 | + | 2.72369i | −1.44778 | + | 0.253986i | ||||
\(116\) | −10.1761 | −0.944825 | ||||||||
\(117\) | 3.00542 | − | 3.46844i | 0.277851 | − | 0.320657i | ||||
\(118\) | −4.31215 | + | 2.77125i | −0.396966 | + | 0.255115i | ||||
\(119\) | 0.756849 | + | 5.26400i | 0.0693803 | + | 0.482550i | ||||
\(120\) | 3.75454 | + | 8.22130i | 0.342741 | + | 0.750498i | ||||
\(121\) | 1.38118 | − | 9.60629i | 0.125562 | − | 0.873299i | ||||
\(122\) | −0.498576 | + | 0.146395i | −0.0451390 | + | 0.0132540i | ||||
\(123\) | −0.695130 | − | 0.446733i | −0.0626778 | − | 0.0402805i | ||||
\(124\) | 1.42351 | − | 3.11705i | 0.127835 | − | 0.279919i | ||||
\(125\) | 2.53218 | + | 0.743517i | 0.226486 | + | 0.0665021i | ||||
\(126\) | −0.544078 | − | 0.627899i | −0.0484703 | − | 0.0559377i | ||||
\(127\) | −4.93533 | − | 5.69567i | −0.437940 | − | 0.505409i | 0.493279 | − | 0.869871i | \(-0.335798\pi\) |
−0.931218 | + | 0.364462i | \(0.881253\pi\) | |||||||
\(128\) | 7.79460 | + | 2.28870i | 0.688951 | + | 0.202294i | ||||
\(129\) | −1.10304 | + | 2.41531i | −0.0971169 | + | 0.212656i | ||||
\(130\) | 10.5430 | + | 6.77560i | 0.924686 | + | 0.594260i | ||||
\(131\) | −2.22451 | + | 0.653175i | −0.194356 | + | 0.0570682i | −0.377462 | − | 0.926025i | \(-0.623203\pi\) |
0.183106 | + | 0.983093i | \(0.441385\pi\) | |||||||
\(132\) | 0.212105 | − | 1.47522i | 0.0184614 | − | 0.128402i | ||||
\(133\) | 3.24039 | + | 7.09546i | 0.280977 | + | 0.615254i | ||||
\(134\) | −0.236200 | − | 1.64281i | −0.0204046 | − | 0.141917i | ||||
\(135\) | −2.76502 | + | 1.77697i | −0.237975 | + | 0.152937i | ||||
\(136\) | −9.57661 | + | 11.0520i | −0.821188 | + | 0.947701i | ||||
\(137\) | −2.12549 | −0.181593 | −0.0907964 | − | 0.995869i | \(-0.528941\pi\) | ||||
−0.0907964 | + | 0.995869i | \(0.528941\pi\) | |||||||
\(138\) | 3.67380 | + | 1.54260i | 0.312735 | + | 0.131314i | ||||
\(139\) | −20.5363 | −1.74186 | −0.870932 | − | 0.491403i | \(-0.836484\pi\) | ||||
−0.870932 | + | 0.491403i | \(0.836484\pi\) | |||||||
\(140\) | −2.81902 | + | 3.25333i | −0.238251 | + | 0.274956i | ||||
\(141\) | 4.59504 | − | 2.95306i | 0.386972 | − | 0.248692i | ||||
\(142\) | 1.06576 | + | 7.41255i | 0.0894369 | + | 0.622047i | ||||
\(143\) | −2.16950 | − | 4.75054i | −0.181423 | − | 0.397261i | ||||
\(144\) | −0.0476489 | + | 0.331405i | −0.00397074 | + | 0.0276171i | ||||
\(145\) | 24.5027 | − | 7.19465i | 2.03484 | − | 0.597483i | ||||
\(146\) | −7.65345 | − | 4.91857i | −0.633404 | − | 0.407064i | ||||
\(147\) | 0.415415 | − | 0.909632i | 0.0342629 | − | 0.0750252i | ||||
\(148\) | 5.74979 | + | 1.68829i | 0.472630 | + | 0.138777i | ||||
\(149\) | −2.00543 | − | 2.31439i | −0.164291 | − | 0.189602i | 0.667634 | − | 0.744489i | \(-0.267307\pi\) |
−0.831926 | + | 0.554887i | \(0.812761\pi\) | |||||||
\(150\) | −3.15725 | − | 3.64366i | −0.257788 | − | 0.297504i | ||||
\(151\) | 19.5253 | + | 5.73316i | 1.58895 | + | 0.466558i | 0.952444 | − | 0.304714i | \(-0.0985608\pi\) |
0.636506 | + | 0.771272i | \(0.280379\pi\) | |||||||
\(152\) | −8.91047 | + | 19.5112i | −0.722735 | + | 1.58257i | ||||
\(153\) | −4.47390 | − | 2.87520i | −0.361693 | − | 0.232446i | ||||
\(154\) | −0.907143 | + | 0.266361i | −0.0730997 | + | 0.0214640i | ||||
\(155\) | −1.22383 | + | 8.51191i | −0.0983002 | + | 0.683693i | ||||
\(156\) | 2.49699 | + | 5.46765i | 0.199919 | + | 0.437762i | ||||
\(157\) | 0.838091 | + | 5.82905i | 0.0668869 | + | 0.465209i | 0.995546 | + | 0.0942749i | \(0.0300533\pi\) |
−0.928659 | + | 0.370934i | \(0.879038\pi\) | |||||||
\(158\) | −3.30496 | + | 2.12397i | −0.262928 | + | 0.168974i | ||||
\(159\) | −6.84121 | + | 7.89518i | −0.542543 | + | 0.626128i | ||||
\(160\) | −18.9904 | −1.50132 | ||||||||
\(161\) | 0.147994 | + | 4.79355i | 0.0116636 | + | 0.377784i | ||||
\(162\) | 0.830830 | 0.0652762 | ||||||||
\(163\) | 10.7147 | − | 12.3654i | 0.839239 | − | 0.968534i | −0.160590 | − | 0.987021i | \(-0.551340\pi\) |
0.999829 | + | 0.0184873i | \(0.00588503\pi\) | |||||||
\(164\) | 0.910427 | − | 0.585096i | 0.0710924 | − | 0.0456883i | ||||
\(165\) | 0.532283 | + | 3.70211i | 0.0414382 | + | 0.288209i | ||||
\(166\) | 2.08766 | + | 4.57134i | 0.162034 | + | 0.354805i | ||||
\(167\) | 1.27849 | − | 8.89209i | 0.0989324 | − | 0.688090i | −0.878639 | − | 0.477487i | \(-0.841548\pi\) |
0.977572 | − | 0.210604i | \(-0.0675430\pi\) | |||||||
\(168\) | 2.63843 | − | 0.774713i | 0.203559 | − | 0.0597704i | ||||
\(169\) | 6.78268 | + | 4.35896i | 0.521745 | + | 0.335305i | ||||
\(170\) | 6.03288 | − | 13.2102i | 0.462701 | − | 1.01317i | ||||
\(171\) | −7.48439 | − | 2.19762i | −0.572346 | − | 0.168056i | ||||
\(172\) | −2.27738 | − | 2.62823i | −0.173648 | − | 0.200401i | ||||
\(173\) | −2.64294 | − | 3.05011i | −0.200939 | − | 0.231896i | 0.646333 | − | 0.763056i | \(-0.276302\pi\) |
−0.847272 | + | 0.531160i | \(0.821756\pi\) | |||||||
\(174\) | −6.19378 | − | 1.81866i | −0.469549 | − | 0.137872i | ||||
\(175\) | 2.41063 | − | 5.27854i | 0.182226 | − | 0.399020i | ||||
\(176\) | 0.320517 | + | 0.205984i | 0.0241599 | + | 0.0155266i | ||||
\(177\) | 5.91966 | − | 1.73817i | 0.444949 | − | 0.130649i | ||||
\(178\) | 1.64879 | − | 11.4676i | 0.123582 | − | 0.859534i | ||||
\(179\) | −0.553279 | − | 1.21151i | −0.0413540 | − | 0.0905526i | 0.887828 | − | 0.460176i | \(-0.152214\pi\) |
−0.929181 | + | 0.369624i | \(0.879487\pi\) | |||||||
\(180\) | −0.612633 | − | 4.26095i | −0.0456629 | − | 0.317593i | ||||
\(181\) | 21.6303 | − | 13.9009i | 1.60777 | − | 1.03325i | 0.644537 | − | 0.764573i | \(-0.277050\pi\) |
0.963231 | − | 0.268676i | \(-0.0865860\pi\) | |||||||
\(182\) | 2.49699 | − | 2.88168i | 0.185089 | − | 0.213604i | ||||
\(183\) | 0.625428 | 0.0462330 | ||||||||
\(184\) | −9.69532 | + | 8.93952i | −0.714748 | + | 0.659030i | ||||
\(185\) | −15.0384 | −1.10565 | ||||||||
\(186\) | 1.42351 | − | 1.64282i | 0.104377 | − | 0.120457i | ||||
\(187\) | −5.09106 | + | 3.27182i | −0.372295 | + | 0.239260i | ||||
\(188\) | 1.01810 | + | 7.08106i | 0.0742528 | + | 0.516440i | ||||
\(189\) | 0.415415 | + | 0.909632i | 0.0302170 | + | 0.0661660i | ||||
\(190\) | 3.03143 | − | 21.0841i | 0.219923 | − | 1.52960i | ||||
\(191\) | −10.6077 | + | 3.11471i | −0.767549 | + | 0.225373i | −0.641989 | − | 0.766714i | \(-0.721891\pi\) |
−0.125559 | + | 0.992086i | \(0.540073\pi\) | |||||||
\(192\) | 3.47501 | + | 2.23325i | 0.250787 | + | 0.161171i | ||||
\(193\) | −6.99634 | + | 15.3198i | −0.503607 | + | 1.10275i | 0.471673 | + | 0.881774i | \(0.343650\pi\) |
−0.975280 | + | 0.220972i | \(0.929077\pi\) | |||||||
\(194\) | −3.46495 | − | 1.01740i | −0.248769 | − | 0.0730452i | ||||
\(195\) | −9.87815 | − | 11.4000i | −0.707389 | − | 0.816371i | ||||
\(196\) | 0.857685 | + | 0.989821i | 0.0612632 | + | 0.0707015i | ||||
\(197\) | 14.7029 | + | 4.31715i | 1.04754 | + | 0.307584i | 0.759822 | − | 0.650132i | \(-0.225286\pi\) |
0.287715 | + | 0.957716i | \(0.407104\pi\) | |||||||
\(198\) | 0.392750 | − | 0.860003i | 0.0279115 | − | 0.0611177i | ||||
\(199\) | 8.76027 | + | 5.62989i | 0.620999 | + | 0.399092i | 0.812967 | − | 0.582309i | \(-0.197851\pi\) |
−0.191968 | + | 0.981401i | \(0.561487\pi\) | |||||||
\(200\) | 15.3106 | − | 4.49561i | 1.08263 | − | 0.317888i | ||||
\(201\) | −0.284294 | + | 1.97731i | −0.0200526 | + | 0.139469i | ||||
\(202\) | 0.181484 | + | 0.397396i | 0.0127692 | + | 0.0279607i | ||||
\(203\) | −1.10574 | − | 7.69057i | −0.0776075 | − | 0.539772i | ||||
\(204\) | 5.85956 | − | 3.76571i | 0.410251 | − | 0.263653i | ||||
\(205\) | −1.77852 | + | 2.05252i | −0.124217 | + | 0.143354i | ||||
\(206\) | −12.1386 | −0.845734 | ||||||||
\(207\) | −3.71964 | − | 3.02726i | −0.258533 | − | 0.210409i | ||||
\(208\) | −1.53659 | −0.106543 | ||||||||
\(209\) | −5.81280 | + | 6.70833i | −0.402080 | + | 0.464025i | ||||
\(210\) | −2.29726 | + | 1.47636i | −0.158526 | + | 0.101878i | ||||
\(211\) | −3.20358 | − | 22.2814i | −0.220544 | − | 1.53391i | −0.735990 | − | 0.676993i | \(-0.763283\pi\) |
0.515446 | − | 0.856922i | \(-0.327626\pi\) | |||||||
\(212\) | −5.68388 | − | 12.4460i | −0.390371 | − | 0.854793i | ||||
\(213\) | 1.28277 | − | 8.92186i | 0.0878940 | − | 0.611316i | ||||
\(214\) | −11.7762 | + | 3.45781i | −0.805005 | + | 0.236371i | ||||
\(215\) | 7.34184 | + | 4.71832i | 0.500710 | + | 0.321787i | ||||
\(216\) | −1.14231 | + | 2.50132i | −0.0777247 | + | 0.170193i | ||||
\(217\) | 2.51039 | + | 0.737116i | 0.170416 | + | 0.0500387i | ||||
\(218\) | 3.79178 | + | 4.37595i | 0.256812 | + | 0.296377i | ||||
\(219\) | 7.17079 | + | 8.27554i | 0.484557 | + | 0.559209i | ||||
\(220\) | −4.70017 | − | 1.38009i | −0.316885 | − | 0.0930459i | ||||
\(221\) | 10.1391 | − | 22.2014i | 0.682026 | − | 1.49343i | ||||
\(222\) | 3.19794 | + | 2.05519i | 0.214632 | + | 0.137935i | ||||
\(223\) | 14.2865 | − | 4.19489i | 0.956695 | − | 0.280911i | 0.234123 | − | 0.972207i | \(-0.424778\pi\) |
0.722572 | + | 0.691296i | \(0.242960\pi\) | |||||||
\(224\) | −0.822267 | + | 5.71900i | −0.0549400 | + | 0.382116i | ||||
\(225\) | 2.41063 | + | 5.27854i | 0.160709 | + | 0.351903i | ||||
\(226\) | −2.19592 | − | 15.2729i | −0.146070 | − | 1.01594i | ||||
\(227\) | 6.46859 | − | 4.15711i | 0.429335 | − | 0.275917i | −0.308075 | − | 0.951362i | \(-0.599685\pi\) |
0.737410 | + | 0.675445i | \(0.236048\pi\) | |||||||
\(228\) | 6.69026 | − | 7.72097i | 0.443073 | − | 0.511334i | ||||
\(229\) | −3.64338 | −0.240761 | −0.120381 | − | 0.992728i | \(-0.538412\pi\) | ||||
−0.120381 | + | 0.992728i | \(0.538412\pi\) | |||||||
\(230\) | 6.73702 | − | 11.2305i | 0.444226 | − | 0.740518i | ||||
\(231\) | 1.13795 | 0.0748714 | ||||||||
\(232\) | 13.9912 | − | 16.1467i | 0.918565 | − | 1.06008i | ||||
\(233\) | −2.60809 | + | 1.67612i | −0.170861 | + | 0.109806i | −0.623277 | − | 0.782001i | \(-0.714199\pi\) |
0.452415 | + | 0.891807i | \(0.350563\pi\) | |||||||
\(234\) | 0.542648 | + | 3.77420i | 0.0354740 | + | 0.246727i | ||||
\(235\) | −7.45789 | − | 16.3305i | −0.486499 | − | 1.06528i | ||||
\(236\) | −1.14996 | + | 7.99818i | −0.0748563 | + | 0.520637i | ||||
\(237\) | 4.53700 | − | 1.33218i | 0.294710 | − | 0.0865346i | ||||
\(238\) | −3.71705 | − | 2.38880i | −0.240941 | − | 0.154843i | ||||
\(239\) | −3.45838 | + | 7.57280i | −0.223704 | + | 0.489844i | −0.987891 | − | 0.155152i | \(-0.950413\pi\) |
0.764187 | + | 0.644995i | \(0.223141\pi\) | |||||||
\(240\) | 1.05588 | + | 0.310035i | 0.0681569 | + | 0.0200127i | ||||
\(241\) | 1.15266 | + | 1.33024i | 0.0742495 | + | 0.0856885i | 0.791659 | − | 0.610963i | \(-0.209218\pi\) |
−0.717409 | + | 0.696652i | \(0.754672\pi\) | |||||||
\(242\) | 5.28032 | + | 6.09381i | 0.339432 | + | 0.391725i | ||||
\(243\) | −0.959493 | − | 0.281733i | −0.0615515 | − | 0.0180732i | ||||
\(244\) | −0.340282 | + | 0.745113i | −0.0217843 | + | 0.0477010i | ||||
\(245\) | −2.76502 | − | 1.77697i | −0.176650 | − | 0.113526i | ||||
\(246\) | 0.658708 | − | 0.193414i | 0.0419977 | − | 0.0123316i | ||||
\(247\) | 5.09473 | − | 35.4346i | 0.324170 | − | 2.25465i | ||||
\(248\) | 2.98872 | + | 6.54438i | 0.189784 | + | 0.415568i | ||||
\(249\) | −0.860827 | − | 5.98719i | −0.0545527 | − | 0.379423i | ||||
\(250\) | −1.84456 | + | 1.18543i | −0.116660 | + | 0.0749730i | ||||
\(251\) | 12.0206 | − | 13.8725i | 0.758731 | − | 0.875622i | −0.236653 | − | 0.971594i | \(-0.576051\pi\) |
0.995384 | + | 0.0959724i | \(0.0305961\pi\) | |||||||
\(252\) | −1.30972 | −0.0825047 | ||||||||
\(253\) | −4.89190 | + | 2.41920i | −0.307551 | + | 0.152094i | ||||
\(254\) | 6.26151 | 0.392882 | ||||||||
\(255\) | −11.4467 | + | 13.2102i | −0.716818 | + | 0.827253i | ||||
\(256\) | −12.6280 | + | 8.11549i | −0.789247 | + | 0.507218i | ||||
\(257\) | 0.0330642 | + | 0.229966i | 0.00206249 | + | 0.0143449i | 0.990827 | − | 0.135139i | \(-0.0431480\pi\) |
−0.988764 | + | 0.149484i | \(0.952239\pi\) | |||||||
\(258\) | −0.916435 | − | 2.00671i | −0.0570548 | − | 0.124932i | ||||
\(259\) | −0.651151 | + | 4.52885i | −0.0404605 | + | 0.281409i | ||||
\(260\) | 18.9560 | − | 5.56599i | 1.17560 | − | 0.345188i | ||||
\(261\) | 6.53625 | + | 4.20059i | 0.404583 | + | 0.260010i | ||||
\(262\) | 0.800179 | − | 1.75215i | 0.0494352 | − | 0.108248i | ||||
\(263\) | 19.9712 | + | 5.86406i | 1.23148 | + | 0.361594i | 0.831806 | − | 0.555066i | \(-0.187307\pi\) |
0.399669 | + | 0.916660i | \(0.369125\pi\) | |||||||
\(264\) | 2.04915 | + | 2.36485i | 0.126117 | + | 0.145546i | ||||
\(265\) | 22.4856 | + | 25.9497i | 1.38128 | + | 1.59408i | ||||
\(266\) | −6.21826 | − | 1.82585i | −0.381266 | − | 0.111950i | ||||
\(267\) | −5.79277 | + | 12.6844i | −0.354512 | + | 0.776273i | ||||
\(268\) | −2.20102 | − | 1.41451i | −0.134449 | − | 0.0864048i | ||||
\(269\) | 23.8825 | − | 7.01253i | 1.45614 | − | 0.427562i | 0.544574 | − | 0.838713i | \(-0.316691\pi\) |
0.911567 | + | 0.411151i | \(0.134873\pi\) | |||||||
\(270\) | 0.388627 | − | 2.70296i | 0.0236511 | − | 0.164497i | ||||
\(271\) | −13.3310 | − | 29.1908i | −0.809799 | − | 1.77321i | −0.608271 | − | 0.793730i | \(-0.708136\pi\) |
−0.201528 | − | 0.979483i | \(-0.564591\pi\) | |||||||
\(272\) | 0.253403 | + | 1.76246i | 0.0153648 | + | 0.106865i | ||||
\(273\) | −3.86085 | + | 2.48122i | −0.233669 | + | 0.150170i | ||||
\(274\) | 1.15643 | − | 1.33459i | 0.0698626 | − | 0.0806257i | ||||
\(275\) | 6.60343 | 0.398202 | ||||||||
\(276\) | 5.63034 | − | 2.78438i | 0.338907 | − | 0.167600i | ||||
\(277\) | 25.9931 | 1.56178 | 0.780888 | − | 0.624671i | \(-0.214767\pi\) | ||||
0.780888 | + | 0.624671i | \(0.214767\pi\) | |||||||
\(278\) | 11.1733 | − | 12.8947i | 0.670132 | − | 0.773374i | ||||
\(279\) | −2.20103 | + | 1.41452i | −0.131772 | + | 0.0846849i | ||||
\(280\) | −1.28625 | − | 8.94605i | −0.0768680 | − | 0.534629i | ||||
\(281\) | −7.07385 | − | 15.4896i | −0.421991 | − | 0.924031i | −0.994559 | − | 0.104174i | \(-0.966780\pi\) |
0.572568 | − | 0.819857i | \(-0.305947\pi\) | |||||||
\(282\) | −0.645840 | + | 4.49192i | −0.0384592 | + | 0.267490i | ||||
\(283\) | 26.8773 | − | 7.89188i | 1.59769 | − | 0.469124i | 0.642786 | − | 0.766046i | \(-0.277778\pi\) |
0.954902 | + | 0.296922i | \(0.0959602\pi\) | |||||||
\(284\) | 9.93126 | + | 6.38243i | 0.589312 | + | 0.378728i | ||||
\(285\) | −10.6505 | + | 23.3212i | −0.630878 | + | 1.38143i | ||||
\(286\) | 4.16324 | + | 1.22244i | 0.246178 | + | 0.0722843i | ||||
\(287\) | 0.541113 | + | 0.624478i | 0.0319409 | + | 0.0368618i | ||||
\(288\) | −3.78366 | − | 4.36657i | −0.222954 | − | 0.257303i | ||||
\(289\) | −10.8255 | − | 3.17866i | −0.636796 | − | 0.186980i | ||||
\(290\) | −8.81387 | + | 19.2997i | −0.517569 | + | 1.13332i | ||||
\(291\) | 3.65654 | + | 2.34992i | 0.214350 | + | 0.137754i | ||||
\(292\) | −13.7607 | + | 4.04049i | −0.805281 | + | 0.236452i | ||||
\(293\) | −3.73936 | + | 26.0078i | −0.218456 | + | 1.51939i | 0.525286 | + | 0.850926i | \(0.323958\pi\) |
−0.743742 | + | 0.668467i | \(0.766951\pi\) | |||||||
\(294\) | 0.345139 | + | 0.755750i | 0.0201289 | + | 0.0440762i | ||||
\(295\) | −2.88587 | − | 20.0716i | −0.168022 | − | 1.16862i | ||||
\(296\) | −10.5843 | + | 6.80211i | −0.615199 | + | 0.395365i | ||||
\(297\) | −0.745196 | + | 0.860003i | −0.0432407 | + | 0.0499024i | ||||
\(298\) | 2.54431 | 0.147388 | ||||||||
\(299\) | 11.3224 | − | 18.8744i | 0.654794 | − | 1.09153i | ||||
\(300\) | −7.60023 | −0.438800 | ||||||||
\(301\) | 1.73883 | − | 2.00671i | 0.100224 | − | 0.115665i | ||||
\(302\) | −14.2232 | + | 9.14067i | −0.818451 | + | 0.525986i | ||||
\(303\) | −0.0748334 | − | 0.520477i | −0.00429906 | − | 0.0299006i | ||||
\(304\) | 1.08492 | + | 2.37565i | 0.0622247 | + | 0.136253i | ||||
\(305\) | 0.292549 | − | 2.03472i | 0.0167513 | − | 0.116508i | ||||
\(306\) | 4.23949 | − | 1.24483i | 0.242355 | − | 0.0711619i | ||||
\(307\) | 10.0804 | + | 6.47825i | 0.575316 | + | 0.369733i | 0.795710 | − | 0.605678i | \(-0.207098\pi\) |
−0.220394 | + | 0.975411i | \(0.570734\pi\) | |||||||
\(308\) | −0.619132 | + | 1.35571i | −0.0352783 | + | 0.0772487i | ||||
\(309\) | 14.0184 | + | 4.11616i | 0.797476 | + | 0.234160i | ||||
\(310\) | −4.67876 | − | 5.39958i | −0.265736 | − | 0.306676i | ||||
\(311\) | 0.626290 | + | 0.722777i | 0.0355136 | + | 0.0409849i | 0.773229 | − | 0.634127i | \(-0.218641\pi\) |
−0.737715 | + | 0.675112i | \(0.764095\pi\) | |||||||
\(312\) | −12.1088 | − | 3.55547i | −0.685526 | − | 0.201289i | ||||
\(313\) | −12.7327 | + | 27.8808i | −0.719697 | + | 1.57592i | 0.0946310 | + | 0.995512i | \(0.469833\pi\) |
−0.814328 | + | 0.580405i | \(0.802894\pi\) | |||||||
\(314\) | −4.11604 | − | 2.64522i | −0.232282 | − | 0.149278i | ||||
\(315\) | 3.15364 | − | 0.925994i | 0.177688 | − | 0.0521738i | ||||
\(316\) | −0.881365 | + | 6.13003i | −0.0495807 | + | 0.344841i | ||||
\(317\) | 10.7443 | + | 23.5267i | 0.603460 | + | 1.32139i | 0.926958 | + | 0.375164i | \(0.122414\pi\) |
−0.323498 | + | 0.946229i | \(0.604859\pi\) | |||||||
\(318\) | −1.23523 | − | 8.59119i | −0.0692680 | − | 0.481770i | ||||
\(319\) | 7.43790 | − | 4.78005i | 0.416442 | − | 0.267631i | ||||
\(320\) | 8.89096 | − | 10.2607i | 0.497020 | − | 0.573591i | ||||
\(321\) | 14.7724 | 0.824516 | ||||||||
\(322\) | −3.09039 | − | 2.51514i | −0.172220 | − | 0.140163i | ||||
\(323\) | −41.4834 | −2.30820 | ||||||||
\(324\) | 0.857685 | − | 0.989821i | 0.0476492 | − | 0.0549901i | ||||
\(325\) | −22.4043 | + | 14.3983i | −1.24277 | + | 0.798677i | ||||
\(326\) | 1.93461 | + | 13.4555i | 0.107148 | + | 0.745231i | ||||
\(327\) | −2.89511 | − | 6.33940i | −0.160100 | − | 0.350569i | ||||
\(328\) | −0.323365 | + | 2.24905i | −0.0178548 | + | 0.124183i | ||||
\(329\) | −5.24088 | + | 1.53886i | −0.288939 | + | 0.0848402i | ||||
\(330\) | −2.61416 | − | 1.68002i | −0.143905 | − | 0.0924819i | ||||
\(331\) | −1.37936 | + | 3.02039i | −0.0758167 | + | 0.166015i | −0.943745 | − | 0.330674i | \(-0.892724\pi\) |
0.867928 | + | 0.496689i | \(0.165451\pi\) | |||||||
\(332\) | 7.60128 | + | 2.23194i | 0.417174 | + | 0.122493i | ||||
\(333\) | −2.99627 | − | 3.45787i | −0.164194 | − | 0.189490i | ||||
\(334\) | 4.88774 | + | 5.64075i | 0.267445 | + | 0.308648i | ||||
\(335\) | 6.29985 | + | 1.84980i | 0.344198 | + | 0.101066i | ||||
\(336\) | 0.139086 | − | 0.304557i | 0.00758779 | − | 0.0166149i | ||||
\(337\) | −24.3587 | − | 15.6544i | −1.32690 | − | 0.852748i | −0.331038 | − | 0.943617i | \(-0.607399\pi\) |
−0.995863 | + | 0.0908696i | \(0.971035\pi\) | |||||||
\(338\) | −6.42730 | + | 1.88722i | −0.349599 | + | 0.102651i | ||||
\(339\) | −2.64304 | + | 18.3827i | −0.143550 | + | 0.998414i | ||||
\(340\) | −9.51024 | − | 20.8245i | −0.515765 | − | 1.12937i | ||||
\(341\) | 0.423712 | + | 2.94698i | 0.0229453 | + | 0.159588i | ||||
\(342\) | 5.45198 | − | 3.50377i | 0.294809 | − | 0.189462i | ||||
\(343\) | −0.654861 | + | 0.755750i | −0.0353592 | + | 0.0408066i | ||||
\(344\) | 7.30148 | 0.393669 | ||||||||
\(345\) | −11.5886 | + | 10.6852i | −0.623907 | + | 0.575270i | ||||
\(346\) | 3.35313 | 0.180265 | ||||||||
\(347\) | 3.10917 | − | 3.58817i | 0.166909 | − | 0.192623i | −0.666133 | − | 0.745833i | \(-0.732052\pi\) |
0.833042 | + | 0.553210i | \(0.186597\pi\) | |||||||
\(348\) | −8.56066 | + | 5.50160i | −0.458900 | + | 0.294917i | ||||
\(349\) | −1.17860 | − | 8.19737i | −0.0630892 | − | 0.438795i | −0.996745 | − | 0.0806228i | \(-0.974309\pi\) |
0.933655 | − | 0.358172i | \(-0.116600\pi\) | |||||||
\(350\) | 2.00282 | + | 4.38557i | 0.107055 | + | 0.234419i | ||||
\(351\) | 0.653140 | − | 4.54269i | 0.0348620 | − | 0.242471i | ||||
\(352\) | −6.30851 | + | 1.85234i | −0.336244 | + | 0.0987303i | ||||
\(353\) | −1.44789 | − | 0.930505i | −0.0770636 | − | 0.0495258i | 0.501542 | − | 0.865134i | \(-0.332766\pi\) |
−0.578605 | + | 0.815608i | \(0.696403\pi\) | |||||||
\(354\) | −2.12936 | + | 4.66265i | −0.113174 | + | 0.247817i | ||||
\(355\) | −28.4257 | − | 8.34654i | −1.50868 | − | 0.442988i | ||||
\(356\) | −11.9600 | − | 13.8026i | −0.633880 | − | 0.731536i | ||||
\(357\) | 3.48264 | + | 4.01918i | 0.184321 | + | 0.212717i | ||||
\(358\) | 1.06173 | + | 0.311753i | 0.0561144 | + | 0.0164767i | ||||
\(359\) | 4.00946 | − | 8.77949i | 0.211611 | − | 0.463364i | −0.773827 | − | 0.633397i | \(-0.781660\pi\) |
0.985438 | + | 0.170033i | \(0.0543874\pi\) | |||||||
\(360\) | 7.60329 | + | 4.88634i | 0.400729 | + | 0.257533i | ||||
\(361\) | −40.1506 | + | 11.7893i | −2.11319 | + | 0.620489i | ||||
\(362\) | −3.04017 | + | 21.1448i | −0.159788 | + | 1.11135i | ||||
\(363\) | −4.03163 | − | 8.82805i | −0.211606 | − | 0.463352i | ||||
\(364\) | −0.855431 | − | 5.94965i | −0.0448368 | − | 0.311847i | ||||
\(365\) | 30.2772 | − | 19.4580i | 1.58478 | − | 1.01848i | ||||
\(366\) | −0.340282 | + | 0.392706i | −0.0177868 | + | 0.0205271i | ||||
\(367\) | 12.5073 | 0.652875 | 0.326438 | − | 0.945219i | \(-0.394152\pi\) | ||||
0.326438 | + | 0.945219i | \(0.394152\pi\) | |||||||
\(368\) | 0.0495503 | + | 1.60494i | 0.00258299 | + | 0.0836635i | ||||
\(369\) | −0.826303 | −0.0430156 | ||||||||
\(370\) | 8.18207 | − | 9.44262i | 0.425366 | − | 0.490898i | ||||
\(371\) | 8.78842 | − | 5.64798i | 0.456272 | − | 0.293228i | ||||
\(372\) | −0.487672 | − | 3.39184i | −0.0252846 | − | 0.175858i | ||||
\(373\) | −6.10837 | − | 13.3755i | −0.316280 | − | 0.692556i | 0.683003 | − | 0.730415i | \(-0.260673\pi\) |
−0.999283 | + | 0.0378594i | \(0.987946\pi\) | |||||||
\(374\) | 0.715556 | − | 4.97680i | 0.0370005 | − | 0.257344i | ||||
\(375\) | 2.53218 | − | 0.743517i | 0.130761 | − | 0.0383950i | ||||
\(376\) | −12.6355 | − | 8.12036i | −0.651627 | − | 0.418776i | ||||
\(377\) | −14.8129 | + | 32.4357i | −0.762902 | + | 1.67052i | ||||
\(378\) | −0.797176 | − | 0.234072i | −0.0410023 | − | 0.0120394i | ||||
\(379\) | 15.4361 | + | 17.8142i | 0.792901 | + | 0.915056i | 0.997970 | − | 0.0636914i | \(-0.0202873\pi\) |
−0.205069 | + | 0.978748i | \(0.565742\pi\) | |||||||
\(380\) | −21.9894 | − | 25.3771i | −1.12803 | − | 1.30182i | ||||
\(381\) | −7.23117 | − | 2.12326i | −0.370464 | − | 0.108778i | ||||
\(382\) | 3.81571 | − | 8.35524i | 0.195229 | − | 0.427491i | ||||
\(383\) | −10.0659 | − | 6.46897i | −0.514344 | − | 0.330549i | 0.257587 | − | 0.966255i | \(-0.417073\pi\) |
−0.771931 | + | 0.635706i | \(0.780709\pi\) | |||||||
\(384\) | 7.79460 | − | 2.28870i | 0.397766 | − | 0.116795i | ||||
\(385\) | 0.532283 | − | 3.70211i | 0.0271277 | − | 0.188677i | ||||
\(386\) | −5.81277 | − | 12.7282i | −0.295862 | − | 0.647847i | ||||
\(387\) | 0.377883 | + | 2.62823i | 0.0192089 | + | 0.133601i | ||||
\(388\) | −4.78905 | + | 3.07773i | −0.243127 | + | 0.156248i | ||||
\(389\) | −4.25713 | + | 4.91298i | −0.215845 | + | 0.249098i | −0.853338 | − | 0.521358i | \(-0.825426\pi\) |
0.637494 | + | 0.770456i | \(0.279971\pi\) | |||||||
\(390\) | 12.5325 | 0.634610 | ||||||||
\(391\) | −23.5160 | − | 9.87414i | −1.18925 | − | 0.499357i | ||||
\(392\) | −2.74982 | −0.138887 | ||||||||
\(393\) | −1.51824 | + | 1.75215i | −0.0765853 | + | 0.0883841i | ||||
\(394\) | −10.7102 | + | 6.88306i | −0.539575 | + | 0.346764i | ||||
\(395\) | −2.21181 | − | 15.3835i | −0.111288 | − | 0.774027i | ||||
\(396\) | −0.619132 | − | 1.35571i | −0.0311125 | − | 0.0681269i | ||||
\(397\) | 3.99900 | − | 27.8136i | 0.200704 | − | 1.39593i | −0.601498 | − | 0.798874i | \(-0.705429\pi\) |
0.802202 | − | 0.597052i | \(-0.203662\pi\) | |||||||
\(398\) | −8.30127 | + | 2.43747i | −0.416105 | + | 0.122180i | ||||
\(399\) | 6.56208 | + | 4.21720i | 0.328515 | + | 0.211124i | ||||
\(400\) | 0.807110 | − | 1.76732i | 0.0403555 | − | 0.0883662i | ||||
\(401\) | 0.654021 | + | 0.192038i | 0.0326602 | + | 0.00958991i | 0.298022 | − | 0.954559i | \(-0.403673\pi\) |
−0.265362 | + | 0.964149i | \(0.585491\pi\) | |||||||
\(402\) | −1.08687 | − | 1.25432i | −0.0542083 | − | 0.0625597i | ||||
\(403\) | −7.86328 | − | 9.07471i | −0.391698 | − | 0.452044i | ||||
\(404\) | 0.660794 | + | 0.194026i | 0.0328757 | + | 0.00965318i | ||||
\(405\) | −1.36538 | + | 2.98976i | −0.0678462 | + | 0.148562i | ||||
\(406\) | 5.43051 | + | 3.48998i | 0.269512 | + | 0.173205i | ||||
\(407\) | −4.99568 | + | 1.46687i | −0.247627 | + | 0.0727098i | ||||
\(408\) | −2.08120 | + | 14.4750i | −0.103035 | + | 0.716621i | ||||
\(409\) | 13.0153 | + | 28.4995i | 0.643564 | + | 1.40921i | 0.897076 | + | 0.441877i | \(0.145687\pi\) |
−0.253511 | + | 0.967332i | \(0.581585\pi\) | |||||||
\(410\) | −0.321124 | − | 2.23346i | −0.0158592 | − | 0.110303i | ||||
\(411\) | −1.78808 | + | 1.14913i | −0.0881992 | + | 0.0566822i | ||||
\(412\) | −12.5309 | + | 14.4615i | −0.617355 | + | 0.712465i | ||||
\(413\) | −6.16957 | −0.303585 | ||||||||
\(414\) | 3.92459 | − | 0.688493i | 0.192883 | − | 0.0338376i | ||||
\(415\) | −19.8809 | −0.975917 | ||||||||
\(416\) | 17.3647 | − | 20.0399i | 0.851375 | − | 0.982539i | ||||
\(417\) | −17.2762 | + | 11.1028i | −0.846020 | + | 0.543704i | ||||
\(418\) | −1.04954 | − | 7.29971i | −0.0513347 | − | 0.357041i | ||||
\(419\) | −6.79935 | − | 14.8885i | −0.332170 | − | 0.727351i | 0.667684 | − | 0.744445i | \(-0.267286\pi\) |
−0.999854 | + | 0.0170938i | \(0.994559\pi\) | |||||||
\(420\) | −0.612633 | + | 4.26095i | −0.0298934 | + | 0.207913i | ||||
\(421\) | 7.94399 | − | 2.33257i | 0.387167 | − | 0.113682i | −0.0823557 | − | 0.996603i | \(-0.526244\pi\) |
0.469522 | + | 0.882921i | \(0.344426\pi\) | |||||||
\(422\) | 15.7335 | + | 10.1113i | 0.765894 | + | 0.492210i | ||||
\(423\) | 2.26905 | − | 4.96854i | 0.110325 | − | 0.241578i | ||||
\(424\) | 27.5632 | + | 8.09328i | 1.33859 | + | 0.393045i | ||||
\(425\) | 20.2095 | + | 23.3230i | 0.980306 | + | 1.13133i | ||||
\(426\) | 4.90410 | + | 5.65964i | 0.237605 | + | 0.274210i | ||||
\(427\) | −0.600094 | − | 0.176204i | −0.0290406 | − | 0.00852709i | ||||
\(428\) | −8.03735 | + | 17.5993i | −0.388500 | + | 0.850696i | ||||
\(429\) | −4.39344 | − | 2.82349i | −0.212117 | − | 0.136319i | ||||
\(430\) | −6.95716 | + | 2.04281i | −0.335504 | + | 0.0985129i | ||||
\(431\) | −3.08240 | + | 21.4386i | −0.148474 | + | 1.03266i | 0.770245 | + | 0.637748i | \(0.220134\pi\) |
−0.918719 | + | 0.394912i | \(0.870775\pi\) | |||||||
\(432\) | 0.139086 | + | 0.304557i | 0.00669180 | + | 0.0146530i | ||||
\(433\) | 5.88583 | + | 40.9368i | 0.282855 | + | 1.96730i | 0.251796 | + | 0.967780i | \(0.418979\pi\) |
0.0310585 | + | 0.999518i | \(0.490112\pi\) | |||||||
\(434\) | −1.82868 | + | 1.17522i | −0.0877795 | + | 0.0564125i | ||||
\(435\) | 16.7233 | − | 19.2997i | 0.801820 | − | 0.925349i | ||||
\(436\) | 9.12770 | 0.437137 | ||||||||
\(437\) | −37.1751 | − | 4.17870i | −1.77833 | − | 0.199894i | ||||
\(438\) | −9.09767 | −0.434704 | ||||||||
\(439\) | −16.0879 | + | 18.5664i | −0.767832 | + | 0.886125i | −0.996168 | − | 0.0874569i | \(-0.972126\pi\) |
0.228336 | + | 0.973582i | \(0.426671\pi\) | |||||||
\(440\) | 8.65214 | − | 5.56039i | 0.412474 | − | 0.265081i | ||||
\(441\) | −0.142315 | − | 0.989821i | −0.00677690 | − | 0.0471344i | ||||
\(442\) | 8.42383 | + | 18.4456i | 0.400681 | + | 0.877368i | ||||
\(443\) | −5.91004 | + | 41.1053i | −0.280795 | + | 1.95297i | 0.0215398 | + | 0.999768i | \(0.493143\pi\) |
−0.302334 | + | 0.953202i | \(0.597766\pi\) | |||||||
\(444\) | 5.74979 | − | 1.68829i | 0.272873 | − | 0.0801227i | ||||
\(445\) | 38.5569 | + | 24.7790i | 1.82777 | + | 1.17464i | ||||
\(446\) | −5.13900 | + | 11.2528i | −0.243339 | + | 0.532837i | ||||
\(447\) | −2.93833 | − | 0.862771i | −0.138978 | − | 0.0408077i | ||||
\(448\) | −2.70506 | − | 3.12181i | −0.127802 | − | 0.147492i | ||||
\(449\) | 13.5243 | + | 15.6079i | 0.638252 | + | 0.736583i | 0.979065 | − | 0.203549i | \(-0.0652475\pi\) |
−0.340812 | + | 0.940131i | \(0.610702\pi\) | |||||||
\(450\) | −4.62596 | − | 1.35830i | −0.218070 | − | 0.0640311i | ||||
\(451\) | −0.390610 | + | 0.855316i | −0.0183931 | + | 0.0402753i | ||||
\(452\) | −20.4625 | − | 13.1505i | −0.962477 | − | 0.618546i | ||||
\(453\) | 19.5253 | − | 5.73316i | 0.917381 | − | 0.269367i | ||||
\(454\) | −0.909170 | + | 6.32342i | −0.0426695 | + | 0.296773i | ||||
\(455\) | 6.26627 | + | 13.7212i | 0.293767 | + | 0.643260i | ||||
\(456\) | 3.05259 | + | 21.2312i | 0.142951 | + | 0.994244i | ||||
\(457\) | 25.6434 | − | 16.4800i | 1.19955 | − | 0.770903i | 0.220670 | − | 0.975348i | \(-0.429176\pi\) |
0.978878 | + | 0.204446i | \(0.0655392\pi\) | |||||||
\(458\) | 1.98228 | − | 2.28768i | 0.0926260 | − | 0.106896i | ||||
\(459\) | −5.31813 | −0.248229 | ||||||||
\(460\) | −6.42486 | − | 19.6198i | −0.299561 | − | 0.914776i | ||||
\(461\) | −1.07044 | −0.0498553 | −0.0249277 | − | 0.999689i | \(-0.507936\pi\) | ||||
−0.0249277 | + | 0.999689i | \(0.507936\pi\) | |||||||
\(462\) | −0.619132 | + | 0.714516i | −0.0288046 | + | 0.0332423i | ||||
\(463\) | 12.2334 | − | 7.86192i | 0.568534 | − | 0.365374i | −0.224573 | − | 0.974457i | \(-0.572099\pi\) |
0.793107 | + | 0.609083i | \(0.208462\pi\) | |||||||
\(464\) | −0.370215 | − | 2.57490i | −0.0171868 | − | 0.119537i | ||||
\(465\) | 3.57233 | + | 7.82232i | 0.165663 | + | 0.362752i | ||||
\(466\) | 0.366571 | − | 2.54955i | 0.0169811 | − | 0.118106i | ||||
\(467\) | −35.8146 | + | 10.5161i | −1.65730 | + | 0.486628i | −0.970678 | − | 0.240383i | \(-0.922727\pi\) |
−0.686625 | + | 0.727012i | \(0.740909\pi\) | |||||||
\(468\) | 5.05664 | + | 3.24970i | 0.233743 | + | 0.150218i | ||||
\(469\) | 0.829850 | − | 1.81712i | 0.0383189 | − | 0.0839068i | ||||
\(470\) | 14.3116 | + | 4.20226i | 0.660144 | + | 0.193836i | ||||
\(471\) | 3.85647 | + | 4.45060i | 0.177697 | + | 0.205073i | ||||
\(472\) | −11.1098 | − | 12.8214i | −0.511372 | − | 0.590155i | ||||
\(473\) | 2.89915 | + | 0.851268i | 0.133303 | + | 0.0391413i | ||||
\(474\) | −1.63200 | + | 3.57359i | −0.0749604 | + | 0.164140i | ||||
\(475\) | 38.0794 | + | 24.4721i | 1.74720 | + | 1.12286i | ||||
\(476\) | −6.68313 | + | 1.96234i | −0.306321 | + | 0.0899439i | ||||
\(477\) | −1.48674 | + | 10.3405i | −0.0680730 | + | 0.473458i | ||||
\(478\) | −2.87333 | − | 6.29171i | −0.131423 | − | 0.287776i | ||||
\(479\) | −1.21807 | − | 8.47187i | −0.0556551 | − | 0.387090i | −0.998542 | − | 0.0539772i | \(-0.982810\pi\) |
0.942887 | − | 0.333113i | \(-0.108099\pi\) | |||||||
\(480\) | −15.9757 | + | 10.2670i | −0.729189 | + | 0.468621i | ||||
\(481\) | 13.7511 | − | 15.8696i | 0.626994 | − | 0.723590i | ||||
\(482\) | −1.46240 | −0.0666104 | ||||||||
\(483\) | 2.71609 | + | 3.95258i | 0.123586 | + | 0.179848i | ||||
\(484\) | 12.7109 | 0.577770 | ||||||||
\(485\) | 9.35542 | − | 10.7967i | 0.424808 | − | 0.490254i | ||||
\(486\) | 0.698939 | − | 0.449181i | 0.0317045 | − | 0.0203752i | ||||
\(487\) | 5.80783 | + | 40.3943i | 0.263178 | + | 1.83044i | 0.508574 | + | 0.861018i | \(0.330173\pi\) |
−0.245396 | + | 0.969423i | \(0.578918\pi\) | |||||||
\(488\) | −0.714436 | − | 1.56440i | −0.0323410 | − | 0.0708169i | ||||
\(489\) | 2.32853 | − | 16.1952i | 0.105300 | − | 0.732374i | ||||
\(490\) | 2.62014 | − | 0.769343i | 0.118366 | − | 0.0347554i | ||||
\(491\) | −23.4232 | − | 15.0532i | −1.05708 | − | 0.679341i | −0.107923 | − | 0.994159i | \(-0.534420\pi\) |
−0.949152 | + | 0.314818i | \(0.898056\pi\) | |||||||
\(492\) | 0.449573 | − | 0.984428i | 0.0202683 | − | 0.0443814i | ||||
\(493\) | 39.6463 | + | 11.6412i | 1.78558 | + | 0.524293i | ||||
\(494\) | 19.4774 | + | 22.4782i | 0.876331 | + | 1.01134i | ||||
\(495\) | 2.44930 | + | 2.82664i | 0.110088 | + | 0.127048i | ||||
\(496\) | 0.840511 | + | 0.246796i | 0.0377401 | + | 0.0110815i | ||||
\(497\) | −3.74439 | + | 8.19907i | −0.167959 | + | 0.367778i | ||||
\(498\) | 4.22771 | + | 2.71698i | 0.189448 | + | 0.121751i | ||||
\(499\) | −5.64612 | + | 1.65785i | −0.252755 | + | 0.0742156i | −0.405656 | − | 0.914026i | \(-0.632957\pi\) |
0.152901 | + | 0.988242i | \(0.451139\pi\) | |||||||
\(500\) | −0.491907 | + | 3.42129i | −0.0219987 | + | 0.153005i | ||||
\(501\) | −3.73189 | − | 8.17170i | −0.166729 | − | 0.365085i | ||||
\(502\) | 2.17039 | + | 15.0954i | 0.0968693 | + | 0.673741i | ||||
\(503\) | 26.2112 | − | 16.8449i | 1.16870 | − | 0.751077i | 0.195423 | − | 0.980719i | \(-0.437392\pi\) |
0.973275 | + | 0.229642i | \(0.0737557\pi\) | |||||||
\(504\) | 1.80075 | − | 2.07817i | 0.0802116 | − | 0.0925691i | ||||
\(505\) | −1.72829 | −0.0769078 | ||||||||
\(506\) | 1.14256 | − | 4.38785i | 0.0507932 | − | 0.195064i | ||||
\(507\) | 8.06259 | 0.358072 | ||||||||
\(508\) | 6.46390 | − | 7.45974i | 0.286789 | − | 0.330973i | ||||
\(509\) | 29.6625 | − | 19.0629i | 1.31477 | − | 0.844948i | 0.320028 | − | 0.947408i | \(-0.396308\pi\) |
0.994737 | + | 0.102460i | \(0.0326713\pi\) | |||||||
\(510\) | −2.06677 | − | 14.3747i | −0.0915182 | − | 0.636523i | ||||
\(511\) | −4.54884 | − | 9.96056i | −0.201229 | − | 0.440629i | ||||
\(512\) | −0.537357 | + | 3.73740i | −0.0237481 | + | 0.165171i | ||||
\(513\) | −7.48439 | + | 2.19762i | −0.330444 | + | 0.0970271i | ||||
\(514\) | −0.162385 | − | 0.104359i | −0.00716251 | − | 0.00460306i | ||||
\(515\) | 19.9484 | − | 43.6809i | 0.879032 | − | 1.92481i | ||||
\(516\) | −3.33678 | − | 0.979768i | −0.146894 | − | 0.0431319i | ||||
\(517\) | −4.07037 | − | 4.69745i | −0.179015 | − | 0.206594i | ||||
\(518\) | −2.48939 | − | 2.87291i | −0.109377 | − | 0.126228i | ||||
\(519\) | −3.87240 | − | 1.13704i | −0.169979 | − | 0.0499105i | ||||
\(520\) | −17.2311 | + | 37.7308i | −0.755633 | + | 1.65461i | ||||
\(521\) | −4.78381 | − | 3.07437i | −0.209582 | − | 0.134690i | 0.431639 | − | 0.902047i | \(-0.357936\pi\) |
−0.641221 | + | 0.767356i | \(0.721572\pi\) | |||||||
\(522\) | −6.19378 | + | 1.81866i | −0.271094 | + | 0.0796004i | ||||
\(523\) | −1.64326 | + | 11.4291i | −0.0718547 | + | 0.499760i | 0.921834 | + | 0.387585i | \(0.126691\pi\) |
−0.993688 | + | 0.112175i | \(0.964218\pi\) | |||||||
\(524\) | −1.26140 | − | 2.76209i | −0.0551046 | − | 0.120662i | ||||
\(525\) | −0.825844 | − | 5.74387i | −0.0360428 | − | 0.250683i | ||||
\(526\) | −14.5479 | + | 9.34938i | −0.634319 | + | 0.407652i | ||||
\(527\) | −9.11187 | + | 10.5157i | −0.396919 | + | 0.458069i | ||||
\(528\) | 0.381000 | 0.0165809 | ||||||||
\(529\) | −20.0791 | − | 11.2175i | −0.873003 | − | 0.487716i | ||||
\(530\) | −28.5277 | −1.23917 | ||||||||
\(531\) | 4.04021 | − | 4.66265i | 0.175330 | − | 0.202342i | ||||
\(532\) | −8.59450 | + | 5.52335i | −0.372619 | + | 0.239468i | ||||
\(533\) | −0.539691 | − | 3.75363i | −0.0233766 | − | 0.162588i | ||||
\(534\) | −4.81281 | − | 10.5386i | −0.208271 | − | 0.456049i | ||||
\(535\) | 6.90992 | − | 48.0595i | 0.298742 | − | 2.07779i | ||||
\(536\) | 5.27064 | − | 1.54760i | 0.227657 | − | 0.0668461i | ||||
\(537\) | −1.12044 | − | 0.720063i | −0.0483506 | − | 0.0310730i | ||||
\(538\) | −8.59077 | + | 18.8112i | −0.370375 | + | 0.811007i | ||||
\(539\) | −1.09185 | − | 0.320597i | −0.0470294 | − | 0.0138091i | ||||
\(540\) | −2.81902 | − | 3.25333i | −0.121312 | − | 0.140001i | ||||
\(541\) | −11.7314 | − | 13.5388i | −0.504372 | − | 0.582077i | 0.445276 | − | 0.895393i | \(-0.353105\pi\) |
−0.949649 | + | 0.313316i | \(0.898560\pi\) | |||||||
\(542\) | 25.5820 | + | 7.51154i | 1.09884 | + | 0.322648i | ||||
\(543\) | 10.6811 | − | 23.3884i | 0.458372 | − | 1.00369i | ||||
\(544\) | −25.8493 | − | 16.6123i | −1.10828 | − | 0.712249i | ||||
\(545\) | −21.9783 | + | 6.45343i | −0.941449 | + | 0.276434i | ||||
\(546\) | 0.542648 | − | 3.77420i | 0.0232232 | − | 0.161521i | ||||
\(547\) | −5.67427 | − | 12.4249i | −0.242614 | − | 0.531251i | 0.748678 | − | 0.662934i | \(-0.230689\pi\) |
−0.991292 | + | 0.131683i | \(0.957962\pi\) | |||||||
\(548\) | −0.396176 | − | 2.75546i | −0.0169238 | − | 0.117708i | ||||
\(549\) | 0.526144 | − | 0.338132i | 0.0224553 | − | 0.0144311i | ||||
\(550\) | −3.59278 | + | 4.14629i | −0.153197 | + | 0.176799i | ||||
\(551\) | 60.6061 | 2.58191 | ||||||||
\(552\) | −3.32315 | + | 12.7621i | −0.141443 | + | 0.543191i | ||||
\(553\) | −4.72854 | −0.201078 | ||||||||
\(554\) | −14.1423 | + | 16.3211i | −0.600848 | + | 0.693416i | ||||
\(555\) | −12.6511 | + | 8.13038i | −0.537010 | + | 0.345116i | ||||
\(556\) | −3.82782 | − | 26.6230i | −0.162336 | − | 1.12907i | ||||
\(557\) | −14.4613 | − | 31.6659i | −0.612746 | − | 1.34173i | −0.920680 | − | 0.390319i | \(-0.872365\pi\) |
0.307934 | − | 0.951408i | \(-0.400362\pi\) | |||||||
\(558\) | 0.309358 | − | 2.15163i | 0.0130962 | − | 0.0910859i | ||||
\(559\) | −11.6924 | + | 3.43321i | −0.494537 | + | 0.145209i | ||||
\(560\) | −0.925764 | − | 0.594953i | −0.0391207 | − | 0.0251413i | ||||
\(561\) | −2.51399 | + | 5.50487i | −0.106141 | + | 0.232416i | ||||
\(562\) | 13.5746 | + | 3.98587i | 0.572611 | + | 0.168134i | ||||
\(563\) | 3.92287 | + | 4.52723i | 0.165329 | + | 0.190800i | 0.832369 | − | 0.554222i | \(-0.186984\pi\) |
−0.667040 | + | 0.745022i | \(0.732439\pi\) | |||||||
\(564\) | 4.68480 | + | 5.40654i | 0.197265 | + | 0.227656i | ||||
\(565\) | 58.5688 | + | 17.1974i | 2.46401 | + | 0.723498i | ||||
\(566\) | −9.66802 | + | 21.1700i | −0.406377 | + | 0.889842i | ||||
\(567\) | 0.841254 | + | 0.540641i | 0.0353293 | + | 0.0227048i | ||||
\(568\) | −23.7818 | + | 6.98296i | −0.997861 | + | 0.292998i | ||||
\(569\) | −2.15073 | + | 14.9587i | −0.0901634 | + | 0.627101i | 0.893765 | + | 0.448536i | \(0.148054\pi\) |
−0.983928 | + | 0.178565i | \(0.942855\pi\) | |||||||
\(570\) | −8.84871 | − | 19.3760i | −0.370632 | − | 0.811571i | ||||
\(571\) | −2.54222 | − | 17.6815i | −0.106389 | − | 0.739949i | −0.971271 | − | 0.237975i | \(-0.923516\pi\) |
0.864883 | − | 0.501974i | \(-0.167393\pi\) | |||||||
\(572\) | 5.75418 | − | 3.69799i | 0.240594 | − | 0.154621i | ||||
\(573\) | −7.23985 | + | 8.35524i | −0.302449 | + | 0.349045i | ||||
\(574\) | −0.686517 | −0.0286547 | ||||||||
\(575\) | 15.7613 | + | 22.9366i | 0.657291 | + | 0.956521i | ||||
\(576\) | 4.13075 | 0.172114 | ||||||||
\(577\) | −6.76818 | + | 7.81089i | −0.281763 | + | 0.325172i | −0.878935 | − | 0.476941i | \(-0.841745\pi\) |
0.597172 | + | 0.802113i | \(0.296291\pi\) | |||||||
\(578\) | 7.88582 | − | 5.06791i | 0.328007 | − | 0.210797i | ||||
\(579\) | 2.39684 | + | 16.6704i | 0.0996092 | + | 0.692797i | ||||
\(580\) | 13.8942 | + | 30.4241i | 0.576925 | + | 1.26329i | ||||
\(581\) | −0.860827 | + | 5.98719i | −0.0357131 | + | 0.248390i | ||||
\(582\) | −3.46495 | + | 1.01740i | −0.143627 | + | 0.0421727i | ||||
\(583\) | 10.0008 | + | 6.42710i | 0.414189 | + | 0.266183i | ||||
\(584\) | 12.5085 | − | 27.3897i | 0.517604 | − | 1.13339i | ||||
\(585\) | −14.4733 | − | 4.24975i | −0.598399 | − | 0.175706i | ||||
\(586\) | −14.2958 | − | 16.4982i | −0.590554 | − | 0.681535i | ||||
\(587\) | −5.08620 | − | 5.86978i | −0.209930 | − | 0.242272i | 0.641013 | − | 0.767530i | \(-0.278514\pi\) |
−0.850943 | + | 0.525258i | \(0.823969\pi\) | |||||||
\(588\) | 1.25667 | + | 0.368991i | 0.0518241 | + | 0.0152169i | ||||
\(589\) | −8.47805 | + | 18.5643i | −0.349332 | + | 0.764930i | ||||
\(590\) | 14.1731 | + | 9.10851i | 0.583498 | + | 0.374991i | ||||
\(591\) | 14.7029 | − | 4.31715i | 0.604796 | − | 0.177584i | ||||
\(592\) | −0.218014 | + | 1.51632i | −0.00896031 | + | 0.0623204i | ||||
\(593\) | −11.5033 | − | 25.1888i | −0.472385 | − | 1.03438i | −0.984488 | − | 0.175455i | \(-0.943860\pi\) |
0.512103 | − | 0.858924i | \(-0.328867\pi\) | |||||||
\(594\) | −0.134550 | − | 0.935817i | −0.00552066 | − | 0.0383970i | ||||
\(595\) | 14.7047 | − | 9.45016i | 0.602835 | − | 0.387419i | ||||
\(596\) | 2.62656 | − | 3.03121i | 0.107588 | − | 0.124163i | ||||
\(597\) | 10.4134 | 0.426190 | ||||||||
\(598\) | 5.69091 | + | 17.3785i | 0.232719 | + | 0.710659i | ||||
\(599\) | −28.3181 | −1.15705 | −0.578523 | − | 0.815666i | \(-0.696371\pi\) | ||||
−0.578523 | + | 0.815666i | \(0.696371\pi\) | |||||||
\(600\) | 10.4496 | − | 12.0595i | 0.426604 | − | 0.492327i | ||||
\(601\) | −11.1980 | + | 7.19654i | −0.456777 | + | 0.293553i | −0.748724 | − | 0.662882i | \(-0.769333\pi\) |
0.291947 | + | 0.956434i | \(0.405697\pi\) | |||||||
\(602\) | 0.313957 | + | 2.18362i | 0.0127959 | + | 0.0889976i | ||||
\(603\) | 0.829850 | + | 1.81712i | 0.0337941 | + | 0.0739988i | ||||
\(604\) | −3.79303 | + | 26.3811i | −0.154336 | + | 1.07343i | ||||
\(605\) | −30.6064 | + | 8.98684i | −1.24433 | + | 0.365367i | ||||
\(606\) | 0.367523 | + | 0.236192i | 0.0149296 | + | 0.00959466i | ||||
\(607\) | 12.7717 | − | 27.9660i | 0.518386 | − | 1.13511i | −0.451662 | − | 0.892189i | \(-0.649169\pi\) |
0.970047 | − | 0.242917i | \(-0.0781042\pi\) | |||||||
\(608\) | −43.2434 | − | 12.6974i | −1.75375 | − | 0.514948i | ||||
\(609\) | −5.08804 | − | 5.87191i | −0.206178 | − | 0.237942i | ||||
\(610\) | 1.11843 | + | 1.29074i | 0.0452840 | + | 0.0522605i | ||||
\(611\) | 24.0525 | + | 7.06245i | 0.973060 | + | 0.285716i | ||||
\(612\) | 2.89348 | − | 6.33584i | 0.116962 | − | 0.256111i | ||||
\(613\) | −26.7901 | − | 17.2170i | −1.08204 | − | 0.695387i | −0.127014 | − | 0.991901i | \(-0.540539\pi\) |
−0.955028 | + | 0.296514i | \(0.904176\pi\) | |||||||
\(614\) | −9.55219 | + | 2.80478i | −0.385495 | + | 0.113192i | ||||
\(615\) | −0.386510 | + | 2.68823i | −0.0155856 | + | 0.108400i | ||||
\(616\) | −1.29989 | − | 2.84637i | −0.0523742 | − | 0.114683i | ||||
\(617\) | 0.729051 | + | 5.07066i | 0.0293505 | + | 0.204137i | 0.999220 | − | 0.0394876i | \(-0.0125726\pi\) |
−0.969870 | + | 0.243625i | \(0.921663\pi\) | |||||||
\(618\) | −10.2116 | + | 6.56261i | −0.410771 | + | 0.263987i | ||||
\(619\) | 19.8333 | − | 22.8888i | 0.797167 | − | 0.919979i | −0.201056 | − | 0.979580i | \(-0.564437\pi\) |
0.998222 | + | 0.0596004i | \(0.0189826\pi\) | |||||||
\(620\) | −11.2629 | −0.452328 | ||||||||
\(621\) | −4.76582 | − | 0.535705i | −0.191246 | − | 0.0214971i | ||||
\(622\) | −0.794582 | −0.0318598 | ||||||||
\(623\) | 9.13173 | − | 10.5386i | 0.365855 | − | 0.422219i | ||||
\(624\) | −1.29266 | + | 0.830744i | −0.0517479 | + | 0.0332564i | ||||
\(625\) | 2.89477 | + | 20.1336i | 0.115791 | + | 0.805342i | ||||
\(626\) | −10.5787 | − | 23.1642i | −0.422812 | − | 0.925829i | ||||
\(627\) | −1.26324 | + | 8.78605i | −0.0504491 | + | 0.350881i | ||||
\(628\) | −7.40051 | + | 2.17299i | −0.295313 | + | 0.0867116i | ||||
\(629\) | −20.4700 | − | 13.1553i | −0.816192 | − | 0.524535i | ||||
\(630\) | −1.13440 | + | 2.48398i | −0.0451955 | + | 0.0989643i | ||||
\(631\) | −13.2474 | − | 3.88979i | −0.527371 | − | 0.154850i | 0.00719952 | − | 0.999974i | \(-0.497708\pi\) |
−0.534570 | + | 0.845124i | \(0.679526\pi\) | |||||||
\(632\) | −8.51490 | − | 9.82672i | −0.338704 | − | 0.390886i | ||||
\(633\) | −14.7413 | − | 17.0123i | −0.585912 | − | 0.676179i | ||||
\(634\) | −20.6182 | − | 6.05404i | −0.818852 | − | 0.240437i | ||||
\(635\) | −10.2901 | + | 22.5322i | −0.408351 | + | 0.894163i | ||||
\(636\) | −11.5104 | − | 7.39728i | −0.456417 | − | 0.293321i | ||||
\(637\) | 4.40350 | − | 1.29298i | 0.174473 | − | 0.0512299i | ||||
\(638\) | −1.04541 | + | 7.27097i | −0.0413881 | + | 0.287860i | ||||
\(639\) | −3.74439 | − | 8.19907i | −0.148126 | − | 0.324350i | ||||
\(640\) | −3.79991 | − | 26.4289i | −0.150205 | − | 1.04470i | ||||
\(641\) | −11.3269 | + | 7.27938i | −0.447387 | + | 0.287518i | −0.744871 | − | 0.667209i | \(-0.767489\pi\) |
0.297484 | + | 0.954727i | \(0.403853\pi\) | |||||||
\(642\) | −8.03735 | + | 9.27559i | −0.317209 | + | 0.366078i | ||||
\(643\) | 27.3221 | 1.07748 | 0.538738 | − | 0.842473i | \(-0.318901\pi\) | ||||
0.538738 | + | 0.842473i | \(0.318901\pi\) | |||||||
\(644\) | −6.18672 | + | 1.08534i | −0.243791 | + | 0.0427684i | ||||
\(645\) | 8.72727 | 0.343636 | ||||||||
\(646\) | 22.5702 | − | 26.0474i | 0.888012 | − | 1.02482i | ||||
\(647\) | −5.41706 | + | 3.48133i | −0.212966 | + | 0.136865i | −0.642776 | − | 0.766055i | \(-0.722217\pi\) |
0.429809 | + | 0.902920i | \(0.358581\pi\) | |||||||
\(648\) | 0.391340 | + | 2.72183i | 0.0153733 | + | 0.106923i | ||||
\(649\) | −2.91648 | − | 6.38620i | −0.114482 | − | 0.250680i | ||||
\(650\) | 3.14895 | − | 21.9015i | 0.123512 | − | 0.859046i | ||||
\(651\) | 2.51039 | − | 0.737116i | 0.0983899 | − | 0.0288899i | ||||
\(652\) | 18.0275 | + | 11.5856i | 0.706013 | + | 0.453727i | ||||
\(653\) | −9.82926 | + | 21.5231i | −0.384649 | + | 0.842263i | 0.613950 | + | 0.789345i | \(0.289580\pi\) |
−0.998599 | + | 0.0529183i | \(0.983148\pi\) | |||||||
\(654\) | 5.55567 | + | 1.63129i | 0.217244 | + | 0.0637885i | ||||
\(655\) | 4.99014 | + | 5.75893i | 0.194981 | + | 0.225020i | ||||
\(656\) | 0.181172 | + | 0.209083i | 0.00707357 | + | 0.00816334i | ||||
\(657\) | 10.5065 | + | 3.08500i | 0.409899 | + | 0.120357i | ||||
\(658\) | 1.88520 | − | 4.12801i | 0.0734927 | − | 0.160927i | ||||
\(659\) | −0.134797 | − | 0.0866291i | −0.00525096 | − | 0.00337459i | 0.538013 | − | 0.842937i | \(-0.319175\pi\) |
−0.543264 | + | 0.839562i | \(0.682812\pi\) | |||||||
\(660\) | −4.70017 | + | 1.38009i | −0.182954 | + | 0.0537201i | ||||
\(661\) | 0.771828 | − | 5.36818i | 0.0300206 | − | 0.208798i | −0.969290 | − | 0.245920i | \(-0.920910\pi\) |
0.999311 | + | 0.0371220i | \(0.0118190\pi\) | |||||||
\(662\) | −1.14602 | − | 2.50943i | −0.0445412 | − | 0.0975316i | ||||
\(663\) | −3.47348 | − | 24.1586i | −0.134899 | − | 0.938243i | ||||
\(664\) | −13.9925 | + | 8.99246i | −0.543016 | + | 0.348975i | ||||
\(665\) | 16.7894 | − | 19.3760i | 0.651064 | − | 0.751368i | ||||
\(666\) | 3.80140 | 0.147301 | ||||||||
\(667\) | 34.3562 | + | 14.4258i | 1.33028 | + | 0.558571i | ||||
\(668\) | 11.7659 | 0.455237 | ||||||||
\(669\) | 9.75064 | − | 11.2528i | 0.376981 | − | 0.435060i | ||||
\(670\) | −4.58910 | + | 2.94924i | −0.177292 | + | 0.113939i | ||||
\(671\) | −0.101286 | − | 0.704460i | −0.00391010 | − | 0.0271954i | ||||
\(672\) | 2.40019 | + | 5.25568i | 0.0925892 | + | 0.202742i | ||||
\(673\) | 5.31127 | − | 36.9407i | 0.204734 | − | 1.42396i | −0.585261 | − | 0.810845i | \(-0.699008\pi\) |
0.789995 | − | 0.613113i | \(-0.210083\pi\) | |||||||
\(674\) | 23.0824 | − | 6.77760i | 0.889100 | − | 0.261063i | ||||
\(675\) | 4.88174 | + | 3.13731i | 0.187898 | + | 0.120755i | ||||
\(676\) | −4.38668 | + | 9.60548i | −0.168718 | + | 0.369441i | ||||
\(677\) | 40.3116 | + | 11.8366i | 1.54930 | + | 0.454916i | 0.940892 | − | 0.338708i | \(-0.109990\pi\) |
0.608409 | + | 0.793624i | \(0.291808\pi\) | |||||||
\(678\) | −10.1045 | − | 11.6612i | −0.388061 | − | 0.447846i | ||||
\(679\) | −2.84638 | − | 3.28489i | −0.109234 | − | 0.126063i | ||||
\(680\) | 46.1186 | + | 13.5416i | 1.76857 | + | 0.519298i | ||||
\(681\) | 3.19422 | − | 6.99437i | 0.122403 | − | 0.268025i | ||||
\(682\) | −2.08094 | − | 1.33734i | −0.0796834 | − | 0.0512094i | ||||
\(683\) | 18.4552 | − | 5.41893i | 0.706167 | − | 0.207349i | 0.0911203 | − | 0.995840i | \(-0.470955\pi\) |
0.615047 | + | 0.788490i | \(0.289137\pi\) | |||||||
\(684\) | 1.45393 | − | 10.1123i | 0.0555925 | − | 0.386654i | ||||
\(685\) | 2.90210 | + | 6.35471i | 0.110883 | + | 0.242801i | ||||
\(686\) | −0.118239 | − | 0.822373i | −0.00451440 | − | 0.0313984i | ||||
\(687\) | −3.06501 | + | 1.96976i | −0.116937 | + | 0.0751510i | ||||
\(688\) | 0.582182 | − | 0.671874i | 0.0221955 | − | 0.0256150i | ||||
\(689\) | −47.9446 | −1.82654 | ||||||||
\(690\) | −0.404136 | − | 13.0900i | −0.0153852 | − | 0.498328i | ||||
\(691\) | −45.4686 | −1.72971 | −0.864853 | − | 0.502025i | \(-0.832588\pi\) | ||||
−0.864853 | + | 0.502025i | \(0.832588\pi\) | |||||||
\(692\) | 3.46151 | − | 3.99480i | 0.131587 | − | 0.151860i | ||||
\(693\) | 0.957302 | − | 0.615220i | 0.0363649 | − | 0.0233703i | ||||
\(694\) | 0.561381 | + | 3.90449i | 0.0213097 | + | 0.148212i | ||||
\(695\) | 28.0398 | + | 61.3986i | 1.06361 | + | 2.32898i | ||||
\(696\) | 3.04057 | − | 21.1476i | 0.115253 | − | 0.801599i | ||||
\(697\) | −4.21638 | + | 1.23804i | −0.159707 | + | 0.0468942i | ||||
\(698\) | 5.78838 | + | 3.71996i | 0.219093 | + | 0.140803i | ||||
\(699\) | −1.28789 | + | 2.82008i | −0.0487123 | + | 0.106665i | ||||
\(700\) | 7.29237 | + | 2.14123i | 0.275626 | + | 0.0809310i | ||||
\(701\) | 28.1358 | + | 32.4705i | 1.06268 | + | 1.22639i | 0.973093 | + | 0.230414i | \(0.0740080\pi\) |
0.0895830 | + | 0.995979i | \(0.471447\pi\) | |||||||
\(702\) | 2.49699 | + | 2.88168i | 0.0942429 | + | 0.108762i | ||||
\(703\) | −34.2443 | − | 10.0550i | −1.29155 | − | 0.379232i | ||||
\(704\) | 1.95269 | − | 4.27579i | 0.0735947 | − | 0.161150i | ||||
\(705\) | −15.1029 | − | 9.70605i | −0.568808 | − | 0.365551i | ||||
\(706\) | 1.37203 | − | 0.402865i | 0.0516371 | − | 0.0151620i | ||||
\(707\) | −0.0748334 | + | 0.520477i | −0.00281440 | + | 0.0195746i | ||||
\(708\) | 3.35673 | + | 7.35021i | 0.126154 | + | 0.276238i | ||||
\(709\) | 3.09536 | + | 21.5287i | 0.116249 | + | 0.808528i | 0.961627 | + | 0.274360i | \(0.0884660\pi\) |
−0.845378 | + | 0.534168i | \(0.820625\pi\) | |||||||
\(710\) | 20.7066 | − | 13.3073i | 0.777105 | − | 0.499415i | ||||
\(711\) | 3.09653 | − | 3.57359i | 0.116129 | − | 0.134020i | ||||
\(712\) | 38.3449 | 1.43704 | ||||||||
\(713\) | −9.22481 | + | 8.50569i | −0.345472 | + | 0.318541i | ||||
\(714\) | −4.41847 | −0.165357 | ||||||||
\(715\) | −11.2408 | + | 12.9726i | −0.420382 | + | 0.485147i | ||||
\(716\) | 1.46746 | − | 0.943082i | 0.0548417 | − | 0.0352446i | ||||
\(717\) | 1.18479 | + | 8.24039i | 0.0442467 | + | 0.307743i | ||||
\(718\) | 3.33118 | + | 7.29426i | 0.124318 | + | 0.272219i | ||||
\(719\) | 5.05268 | − | 35.1422i | 0.188433 | − | 1.31058i | −0.647632 | − | 0.761953i | \(-0.724241\pi\) |
0.836066 | − | 0.548630i | \(-0.184850\pi\) | |||||||
\(720\) | 1.05588 | − | 0.310035i | 0.0393504 | − | 0.0115543i | ||||
\(721\) | −12.2909 | − | 7.89886i | −0.457736 | − | 0.294169i | ||||
\(722\) | 14.4426 | − | 31.6249i | 0.537497 | − | 1.17696i | ||||
\(723\) | 1.68886 | + | 0.495896i | 0.0628096 | + | 0.0184426i | ||||
\(724\) | 22.0528 | + | 25.4503i | 0.819585 | + | 0.945852i | ||||
\(725\) | −29.5256 | − | 34.0743i | −1.09655 | − | 1.26549i | ||||
\(726\) | 7.73665 | + | 2.27169i | 0.287134 | + | 0.0843102i | ||||
\(727\) | −14.7779 | + | 32.3590i | −0.548080 | + | 1.20013i | 0.409592 | + | 0.912269i | \(0.365671\pi\) |
−0.957673 | + | 0.287860i | \(0.907056\pi\) | |||||||
\(728\) | 10.6166 | + | 6.82289i | 0.393478 | + | 0.252873i | ||||
\(729\) | −0.959493 | + | 0.281733i | −0.0355368 | + | 0.0104345i | ||||
\(730\) | −4.25551 | + | 29.5977i | −0.157503 | + | 1.09546i | ||||
\(731\) | 5.86609 | + | 12.8449i | 0.216965 | + | 0.475088i | ||||
\(732\) | 0.116575 | + | 0.810799i | 0.00430875 | + | 0.0299680i | ||||
\(733\) | 0.390227 | − | 0.250784i | 0.0144134 | − | 0.00926290i | −0.533414 | − | 0.845854i | \(-0.679091\pi\) |
0.547828 | + | 0.836591i | \(0.315455\pi\) | |||||||
\(734\) | −6.80494 | + | 7.85332i | −0.251175 | + | 0.289871i | ||||
\(735\) | −3.28678 | −0.121235 | ||||||||
\(736\) | −21.4913 | − | 17.4909i | −0.792181 | − | 0.644724i | ||||
\(737\) | 2.27321 | 0.0837348 | ||||||||
\(738\) | 0.449573 | − | 0.518835i | 0.0165490 | − | 0.0190986i | ||||
\(739\) | 4.08122 | − | 2.62284i | 0.150130 | − | 0.0964828i | −0.463419 | − | 0.886139i | \(-0.653378\pi\) |
0.613549 | + | 0.789656i | \(0.289741\pi\) | |||||||
\(740\) | −2.80305 | − | 19.4957i | −0.103042 | − | 0.716675i | ||||
\(741\) | −14.8714 | − | 32.5639i | −0.546316 | − | 1.19626i | ||||
\(742\) | −1.23523 | + | 8.59119i | −0.0453466 | + | 0.315392i | ||||
\(743\) | −22.7359 | + | 6.67586i | −0.834099 | + | 0.244914i | −0.670777 | − | 0.741659i | \(-0.734039\pi\) |
−0.163322 | + | 0.986573i | \(0.552221\pi\) | |||||||
\(744\) | 6.05243 | + | 3.88966i | 0.221893 | + | 0.142602i | ||||
\(745\) | −4.18130 | + | 9.15578i | −0.153191 | + | 0.335442i | ||||
\(746\) | 11.7219 | + | 3.44186i | 0.429169 | + | 0.126015i | ||||
\(747\) | −3.96109 | − | 4.57134i | −0.144929 | − | 0.167257i | ||||
\(748\) | −5.19050 | − | 5.99015i | −0.189783 | − | 0.219022i | ||||
\(749\) | −14.1740 | − | 4.16187i | −0.517908 | − | 0.152071i | ||||
\(750\) | −0.910852 | + | 1.99449i | −0.0332596 | + | 0.0728284i | ||||
\(751\) | 13.6702 | + | 8.78532i | 0.498834 | + | 0.320581i | 0.765750 | − | 0.643139i | \(-0.222368\pi\) |
−0.266916 | + | 0.963720i | \(0.586005\pi\) | |||||||
\(752\) | −1.75472 | + | 0.515232i | −0.0639880 | + | 0.0187886i | ||||
\(753\) | 2.61232 | − | 18.1691i | 0.0951981 | − | 0.662117i | ||||
\(754\) | −12.3070 | − | 26.9485i | −0.448194 | − | 0.981408i | ||||
\(755\) | −9.51871 | − | 66.2041i | −0.346421 | − | 2.40941i | ||||
\(756\) | −1.10181 | + | 0.708089i | −0.0400724 | + | 0.0257529i | ||||
\(757\) | −30.7037 | + | 35.4339i | −1.11594 | + | 1.28787i | −0.162362 | + | 0.986731i | \(0.551911\pi\) |
−0.953581 | + | 0.301136i | \(0.902634\pi\) | |||||||
\(758\) | −19.5840 | −0.711323 | ||||||||
\(759\) | −2.80741 | + | 4.67992i | −0.101903 | + | 0.169870i | ||||
\(760\) | 70.5001 | 2.55731 | ||||||||
\(761\) | −8.80544 | + | 10.1620i | −0.319197 | + | 0.368373i | −0.892560 | − | 0.450928i | \(-0.851093\pi\) |
0.573363 | + | 0.819301i | \(0.305638\pi\) | |||||||
\(762\) | 5.26752 | − | 3.38523i | 0.190822 | − | 0.122634i | ||||
\(763\) | 0.991819 | + | 6.89825i | 0.0359063 | + | 0.249734i | ||||
\(764\) | −6.01509 | − | 13.1712i | −0.217618 | − | 0.476517i | ||||
\(765\) | −2.48760 | + | 17.3016i | −0.0899394 | + | 0.625542i | ||||
\(766\) | 9.53851 | − | 2.80076i | 0.344640 | − | 0.101196i | ||||
\(767\) | 23.8198 | + | 15.3080i | 0.860083 | + | 0.552742i | ||||
\(768\) | −6.23574 | + | 13.6544i | −0.225013 | + | 0.492710i | ||||
\(769\) | 27.1612 | + | 7.97523i | 0.979456 | + | 0.287594i | 0.732000 | − | 0.681305i | \(-0.238587\pi\) |
0.247456 | + | 0.968899i | \(0.420405\pi\) | |||||||
\(770\) | 2.03495 | + | 2.34846i | 0.0733345 | + | 0.0846326i | ||||
\(771\) | 0.152145 | + | 0.175584i | 0.00547935 | + | 0.00632351i | ||||
\(772\) | −21.1646 | − | 6.21448i | −0.761729 | − | 0.223664i | ||||
\(773\) | −11.9779 | + | 26.2280i | −0.430817 | + | 0.943357i | 0.562377 | + | 0.826881i | \(0.309887\pi\) |
−0.993194 | + | 0.116476i | \(0.962840\pi\) | |||||||
\(774\) | −1.85587 | − | 1.19269i | −0.0667077 | − | 0.0428704i | ||||
\(775\) | 14.5676 | − | 4.27744i | 0.523285 | − | 0.153650i | ||||
\(776\) | 1.70097 | − | 11.8305i | 0.0610613 | − | 0.424691i | ||||
\(777\) | 1.90070 | + | 4.16195i | 0.0681872 | + | 0.149309i | ||||
\(778\) | −0.768652 | − | 5.34609i | −0.0275575 | − | 0.191667i | ||||
\(779\) | −5.42227 | + | 3.48468i | −0.194273 | + | 0.124852i | ||||
\(780\) | 12.9376 | − | 14.9308i | 0.463241 | − | 0.534609i | ||||
\(781\) | −10.2570 | −0.367024 | ||||||||
\(782\) | 18.9945 | − | 9.39336i | 0.679241 | − | 0.335906i | ||||
\(783\) | 7.76965 | 0.277665 | ||||||||
\(784\) | −0.219256 | + | 0.253035i | −0.00783057 | + | 0.00903696i | ||||
\(785\) | 16.2832 | − | 10.4646i | 0.581171 | − | 0.373496i | ||||
\(786\) | −0.274129 | − | 1.90661i | −0.00977786 | − | 0.0680065i | ||||
\(787\) | −0.908573 | − | 1.98950i | −0.0323871 | − | 0.0709179i | 0.892747 | − | 0.450558i | \(-0.148775\pi\) |
−0.925134 | + | 0.379640i | \(0.876048\pi\) | |||||||
\(788\) | −2.85621 | + | 19.8654i | −0.101748 | + | 0.707674i | ||||
\(789\) | 19.9712 | − | 5.86406i | 0.710992 | − | 0.208766i | ||||
\(790\) | 10.8627 | + | 6.98102i | 0.386477 | + | 0.248374i | ||||
\(791\) | 7.71500 | − | 16.8935i | 0.274314 | − | 0.600663i | ||||
\(792\) | 3.00239 | + | 0.881582i | 0.106685 | + | 0.0313256i | ||||
\(793\) | 1.87967 | + | 2.16926i | 0.0667492 | + | 0.0770326i | ||||
\(794\) | 15.2884 | + | 17.6438i | 0.542565 | + | 0.626153i | ||||
\(795\) | 32.9456 | + | 9.67369i | 1.16846 | + | 0.343090i | ||||
\(796\) | −5.66568 | + | 12.4061i | −0.200815 | + | 0.439723i | ||||
\(797\) | 33.4902 | + | 21.5229i | 1.18628 | + | 0.762379i | 0.976531 | − | 0.215376i | \(-0.0690976\pi\) |
0.209753 | + | 0.977754i | \(0.432734\pi\) | |||||||
\(798\) | −6.21826 | + | 1.82585i | −0.220124 | + | 0.0646342i | ||||
\(799\) | 4.13402 | − | 28.7527i | 0.146251 | − | 1.01720i | ||||
\(800\) | 13.9281 | + | 30.4984i | 0.492434 | + | 1.07828i | ||||
\(801\) | 1.98451 | + | 13.8026i | 0.0701194 | + | 0.487691i | ||||
\(802\) | −0.476419 | + | 0.306176i | −0.0168229 | + | 0.0108114i | ||||
\(803\) | 8.15998 | − | 9.41712i | 0.287959 | − | 0.332323i | ||||
\(804\) | −2.61635 | −0.0922717 | ||||||||
\(805\) | 14.1295 | − | 6.98747i | 0.497999 | − | 0.246276i | ||||
\(806\) | 9.97624 | 0.351398 | ||||||||
\(807\) | 16.3000 | − | 18.8112i | 0.573786 | − | 0.662184i | ||||
\(808\) | −1.21640 | + | 0.781731i | −0.0427927 | + | 0.0275012i | ||||
\(809\) | −2.80640 | − | 19.5189i | −0.0986677 | − | 0.686249i | −0.977780 | − | 0.209634i | \(-0.932773\pi\) |
0.879112 | − | 0.476615i | \(-0.158136\pi\) | |||||||
\(810\) | −1.13440 | − | 2.48398i | −0.0398587 | − | 0.0872783i | ||||
\(811\) | 4.75714 | − | 33.0866i | 0.167046 | − | 1.16183i | −0.717904 | − | 0.696142i | \(-0.754898\pi\) |
0.884950 | − | 0.465687i | \(-0.154193\pi\) | |||||||
\(812\) | 9.76388 | − | 2.86693i | 0.342645 | − | 0.100610i | ||||
\(813\) | −26.9964 | − | 17.3496i | −0.946807 | − | 0.608476i | ||||
\(814\) | 1.79700 | − | 3.93488i | 0.0629847 | − | 0.137917i | ||||
\(815\) | −51.5993 | − | 15.1509i | −1.80744 | − | 0.530713i | ||||
\(816\) | 1.16603 | + | 1.34567i | 0.0408193 | + | 0.0471080i | ||||
\(817\) | 13.5635 | + | 15.6531i | 0.474526 | + | 0.547632i | ||||
\(818\) | −24.9762 | − | 7.33366i | −0.873271 | − | 0.256415i | ||||
\(819\) | −1.90651 | + | 4.17466i | −0.0666187 | + | 0.145875i | ||||
\(820\) | −2.99237 | − | 1.92308i | −0.104498 | − | 0.0671569i | ||||
\(821\) | −13.8802 | + | 4.07559i | −0.484422 | + | 0.142239i | −0.514819 | − | 0.857299i | \(-0.672141\pi\) |
0.0303972 | + | 0.999538i | \(0.490323\pi\) | |||||||
\(822\) | 0.251317 | − | 1.74795i | 0.00876567 | − | 0.0609666i | ||||
\(823\) | 7.54810 | + | 16.5280i | 0.263110 | + | 0.576131i | 0.994369 | − | 0.105969i | \(-0.0337944\pi\) |
−0.731259 | + | 0.682099i | \(0.761067\pi\) | |||||||
\(824\) | −5.71754 | − | 39.7664i | −0.199180 | − | 1.38533i | ||||
\(825\) | 5.55516 | − | 3.57009i | 0.193406 | − | 0.124294i | ||||
\(826\) | 3.35673 | − | 3.87387i | 0.116796 | − | 0.134789i | ||||
\(827\) | −51.2292 | −1.78141 | −0.890706 | − | 0.454579i | \(-0.849790\pi\) | ||||
−0.890706 | + | 0.454579i | \(0.849790\pi\) | |||||||
\(828\) | 3.23120 | − | 5.38636i | 0.112292 | − | 0.187189i | ||||
\(829\) | 13.7028 | 0.475918 | 0.237959 | − | 0.971275i | \(-0.423522\pi\) | ||||
0.237959 | + | 0.971275i | \(0.423522\pi\) | |||||||
\(830\) | 10.8168 | − | 12.4832i | 0.375456 | − | 0.433299i | ||||
\(831\) | 21.8668 | − | 14.0529i | 0.758551 | − | 0.487491i | ||||
\(832\) | 2.69795 | + | 18.7647i | 0.0935347 | + | 0.650548i | ||||
\(833\) | −2.20923 | − | 4.83755i | −0.0765454 | − | 0.167611i | ||||
\(834\) | 2.42820 | − | 16.8885i | 0.0840816 | − | 0.584801i | ||||
\(835\) | −28.3308 | + | 8.31869i | −0.980429 | + | 0.287880i | ||||
\(836\) | −9.78008 | − | 6.28528i | −0.338251 | − | 0.217381i | ||||
\(837\) | −1.08688 | + | 2.37993i | −0.0375680 | + | 0.0822625i | ||||
\(838\) | 13.0479 | + | 3.83120i | 0.450731 | + | 0.132347i | ||||
\(839\) | 11.9971 | + | 13.8454i | 0.414185 | + | 0.477995i | 0.924057 | − | 0.382255i | \(-0.124852\pi\) |
−0.509871 | + | 0.860251i | \(0.670307\pi\) | |||||||
\(840\) | −5.91866 | − | 6.83050i | −0.204213 | − | 0.235675i | ||||
\(841\) | −30.0969 | − | 8.83724i | −1.03782 | − | 0.304732i | ||||
\(842\) | −2.85753 | + | 6.25713i | −0.0984771 | + | 0.215635i | ||||
\(843\) | −14.3252 | − | 9.20625i | −0.493386 | − | 0.317080i | ||||
\(844\) | 28.2883 | − | 8.30619i | 0.973722 | − | 0.285911i | ||||
\(845\) | 3.77134 | − | 26.2302i | 0.129738 | − | 0.902347i | ||||
\(846\) | 1.88520 | + | 4.12801i | 0.0648145 | + | 0.141924i | ||||
\(847\) | 1.38118 | + | 9.60629i | 0.0474578 | + | 0.330076i | ||||
\(848\) | 2.94248 | − | 1.89102i | 0.101045 | − | 0.0649378i | ||||
\(849\) | 18.3439 | − | 21.1700i | 0.629562 | − | 0.726553i | ||||
\(850\) | −25.6401 | −0.879448 | ||||||||
\(851\) | −17.0189 | − | 13.8510i | −0.583401 | − | 0.474806i | ||||
\(852\) | 11.8053 | 0.404443 | ||||||||
\(853\) | −17.9238 | + | 20.6851i | −0.613698 | + | 0.708245i | −0.974497 | − | 0.224398i | \(-0.927958\pi\) |
0.360800 | + | 0.932643i | \(0.382504\pi\) | |||||||
\(854\) | 0.437136 | − | 0.280930i | 0.0149585 | − | 0.00961324i | ||||
\(855\) | 3.64868 | + | 25.3771i | 0.124782 | + | 0.867880i | ||||
\(856\) | −16.8748 | − | 36.9506i | −0.576767 | − | 1.26294i | ||||
\(857\) | 0.557024 | − | 3.87419i | 0.0190276 | − | 0.132340i | −0.978093 | − | 0.208166i | \(-0.933250\pi\) |
0.997121 | + | 0.0758266i | \(0.0241596\pi\) | |||||||
\(858\) | 4.16324 | − | 1.22244i | 0.142131 | − | 0.0417334i | ||||
\(859\) | −1.23221 | − | 0.791895i | −0.0420425 | − | 0.0270191i | 0.519451 | − | 0.854500i | \(-0.326137\pi\) |
−0.561493 | + | 0.827481i | \(0.689773\pi\) | |||||||
\(860\) | −4.74831 | + | 10.3974i | −0.161916 | + | 0.354547i | ||||
\(861\) | 0.792832 | + | 0.232796i | 0.0270196 | + | 0.00793368i | ||||
\(862\) | −11.7842 | − | 13.5997i | −0.401372 | − | 0.463208i | ||||
\(863\) | −28.9387 | − | 33.3970i | −0.985084 | − | 1.13685i | −0.990590 | − | 0.136863i | \(-0.956298\pi\) |
0.00550604 | − | 0.999985i | \(-0.498247\pi\) | |||||||
\(864\) | −5.54376 | − | 1.62780i | −0.188603 | − | 0.0553787i | ||||
\(865\) | −5.51051 | + | 12.0663i | −0.187363 | + | 0.410267i | ||||
\(866\) | −28.9066 | − | 18.5771i | −0.982285 | − | 0.631276i | ||||
\(867\) | −10.8255 | + | 3.17866i | −0.367654 | + | 0.107953i | ||||
\(868\) | −0.487672 | + | 3.39184i | −0.0165527 | + | 0.115126i | ||||
\(869\) | −2.23527 | − | 4.89457i | −0.0758265 | − | 0.166037i | ||||
\(870\) | 3.01950 | + | 21.0011i | 0.102371 | + | 0.712003i | ||||
\(871\) | −7.71259 | + | 4.95658i | −0.261331 | + | 0.167947i | ||||
\(872\) | −12.5497 | + | 14.4832i | −0.424988 | + | 0.490462i | ||||
\(873\) | 4.34654 | 0.147108 | ||||||||
\(874\) | 22.8500 | − | 21.0687i | 0.772911 | − | 0.712659i | ||||
\(875\) | −2.63909 | −0.0892174 | ||||||||
\(876\) | −9.39174 | + | 10.8386i | −0.317318 | + | 0.366204i | ||||
\(877\) | −9.33274 | + | 5.99779i | −0.315144 | + | 0.202531i | −0.688644 | − | 0.725099i | \(-0.741794\pi\) |
0.373500 | + | 0.927630i | \(0.378158\pi\) | |||||||
\(878\) | −2.90477 | − | 20.2031i | −0.0980313 | − | 0.681822i | ||||
\(879\) | 10.9151 | + | 23.9008i | 0.368158 | + | 0.806155i | ||||
\(880\) | 0.178216 | − | 1.23952i | 0.00600765 | − | 0.0417841i | ||||
\(881\) | −0.782529 | + | 0.229771i | −0.0263641 | + | 0.00774119i | −0.294888 | − | 0.955532i | \(-0.595282\pi\) |
0.268524 | + | 0.963273i | \(0.413464\pi\) | |||||||
\(882\) | 0.698939 | + | 0.449181i | 0.0235345 | + | 0.0151247i | ||||
\(883\) | −9.37839 | + | 20.5358i | −0.315608 | + | 0.691085i | −0.999250 | − | 0.0387329i | \(-0.987668\pi\) |
0.683642 | + | 0.729818i | \(0.260395\pi\) | |||||||
\(884\) | 30.6716 | + | 9.00598i | 1.03160 | + | 0.302904i | ||||
\(885\) | −13.2793 | − | 15.3251i | −0.446379 | − | 0.515148i | ||||
\(886\) | −22.5944 | − | 26.0754i | −0.759075 | − | 0.876020i | ||||
\(887\) | 16.5338 | + | 4.85476i | 0.555150 | + | 0.163007i | 0.547261 | − | 0.836962i | \(-0.315671\pi\) |
0.00788916 | + | 0.999969i | \(0.497489\pi\) | |||||||
\(888\) | −5.22657 | + | 11.4446i | −0.175392 | + | 0.384056i | ||||
\(889\) | 6.34007 | + | 4.07451i | 0.212639 | + | 0.136655i | ||||
\(890\) | −36.5367 | + | 10.7281i | −1.22471 | + | 0.359608i | ||||
\(891\) | −0.161947 | + | 1.12636i | −0.00542542 | + | 0.0377346i | ||||
\(892\) | 8.10112 | + | 17.7390i | 0.271246 | + | 0.593945i | ||||
\(893\) | −6.06356 | − | 42.1730i | −0.202909 | − | 1.41127i | ||||
\(894\) | 2.14041 | − | 1.37556i | 0.0715861 | − | 0.0460056i | ||||
\(895\) | −2.86670 | + | 3.30834i | −0.0958231 | + | 0.110586i | ||||
\(896\) | −8.12366 | −0.271392 | ||||||||
\(897\) | −0.679203 | − | 21.9995i | −0.0226779 | − | 0.734542i | ||||
\(898\) | −17.1585 | −0.572586 | ||||||||
\(899\) | 13.3122 | − | 15.3631i | 0.443986 | − | 0.512388i | ||||
\(900\) | −6.39372 | + | 4.10900i | −0.213124 | + | 0.136967i | ||||
\(901\) | 7.90667 | + | 54.9921i | 0.263409 | + | 1.83205i | ||||
\(902\) | −0.324530 | − | 0.710622i | −0.0108057 | − | 0.0236611i | ||||
\(903\) | 0.377883 | − | 2.62823i | 0.0125752 | − | 0.0874622i | ||||
\(904\) | 49.0003 | − | 14.3878i | 1.62973 | − | 0.478531i | ||||
\(905\) | −71.0941 | − | 45.6894i | −2.36325 | − | 1.51877i | ||||
\(906\) | −7.02346 | + | 15.3792i | −0.233339 | + | 0.510941i | ||||
\(907\) | 6.59632 | + | 1.93685i | 0.219027 | + | 0.0643122i | 0.389405 | − | 0.921067i | \(-0.372681\pi\) |
−0.170378 | + | 0.985379i | \(0.554499\pi\) | |||||||
\(908\) | 6.59494 | + | 7.61096i | 0.218861 | + | 0.252579i | ||||
\(909\) | −0.344345 | − | 0.397396i | −0.0114212 | − | 0.0131808i | ||||
\(910\) | −12.0249 | − | 3.53082i | −0.398621 | − | 0.117046i | ||||
\(911\) | −17.4810 | + | 38.2781i | −0.579172 | + | 1.26821i | 0.362597 | + | 0.931946i | \(0.381890\pi\) |
−0.941768 | + | 0.336263i | \(0.890837\pi\) | |||||||
\(912\) | 2.19707 | + | 1.41197i | 0.0727523 | + | 0.0467551i | ||||
\(913\) | −6.60434 | + | 1.93921i | −0.218572 | + | 0.0641785i | ||||
\(914\) | −3.60422 | + | 25.0679i | −0.119217 | + | 0.829172i | ||||
\(915\) | −0.853947 | − | 1.86988i | −0.0282306 | − | 0.0618164i | ||||
\(916\) | −0.679100 | − | 4.72324i | −0.0224381 | − | 0.156060i | ||||
\(917\) | 1.95038 | − | 1.25343i | 0.0644073 | − | 0.0413920i | ||||
\(918\) | 2.89348 | − | 3.33925i | 0.0954991 | − | 0.110212i | ||||
\(919\) | −6.63444 | −0.218850 | −0.109425 | − | 0.993995i | \(-0.534901\pi\) | ||||
−0.109425 | + | 0.993995i | \(0.534901\pi\) | |||||||
\(920\) | 39.9648 | + | 16.7809i | 1.31760 | + | 0.553249i | ||||
\(921\) | 11.9825 | 0.394838 | ||||||||
\(922\) | 0.582402 | − | 0.672128i | 0.0191804 | − | 0.0221354i | ||||
\(923\) | 34.8002 | − | 22.3647i | 1.14546 | − | 0.736143i | ||||
\(924\) | 0.212105 | + | 1.47522i | 0.00697774 | + | 0.0485313i | ||||
\(925\) | 11.0296 | + | 24.1516i | 0.362652 | + | 0.794098i | ||||
\(926\) | −1.71942 | + | 11.9588i | −0.0565037 | + | 0.392992i | ||||
\(927\) | 14.0184 | − | 4.11616i | 0.460423 | − | 0.135192i | ||||
\(928\) | 37.7652 | + | 24.2702i | 1.23970 | + | 0.796708i | ||||
\(929\) | −6.77480 | + | 14.8347i | −0.222274 | + | 0.486712i | −0.987612 | − | 0.156917i | \(-0.949845\pi\) |
0.765338 | + | 0.643629i | \(0.222572\pi\) | |||||||
\(930\) | −6.85526 | − | 2.01289i | −0.224793 | − | 0.0660051i | ||||
\(931\) | −5.10815 | − | 5.89512i | −0.167413 | − | 0.193205i | ||||
\(932\) | −2.65903 | − | 3.06868i | −0.0870994 | − | 0.100518i | ||||
\(933\) | 0.917631 | + | 0.269441i | 0.0300419 | + | 0.00882110i | ||||
\(934\) | 12.8829 | − | 28.2096i | 0.421541 | − | 0.923045i | ||||
\(935\) | 16.7332 | + | 10.7538i | 0.547234 | + | 0.351686i | ||||
\(936\) | −12.1088 | + | 3.55547i | −0.395789 | + | 0.116214i | ||||
\(937\) | −1.05817 | + | 7.35975i | −0.0345690 | + | 0.240433i | −0.999779 | − | 0.0210450i | \(-0.993301\pi\) |
0.965210 | + | 0.261478i | \(0.0842098\pi\) | |||||||
\(938\) | 0.689465 | + | 1.50972i | 0.0225118 | + | 0.0492940i | ||||
\(939\) | 4.36204 | + | 30.3387i | 0.142350 | + | 0.990065i | ||||
\(940\) | 19.7806 | − | 12.7122i | 0.645172 | − | 0.414627i | ||||
\(941\) | 38.4856 | − | 44.4148i | 1.25460 | − | 1.44788i | 0.410346 | − | 0.911930i | \(-0.365408\pi\) |
0.844250 | − | 0.535950i | \(-0.180047\pi\) | |||||||
\(942\) | −4.89275 | −0.159414 | ||||||||
\(943\) | −3.90320 | + | 0.684741i | −0.127106 | + | 0.0222982i | ||||
\(944\) | −2.06566 | −0.0672314 | ||||||||
\(945\) | 2.15238 | − | 2.48398i | 0.0700171 | − | 0.0808040i | ||||
\(946\) | −2.11188 | + | 1.35722i | −0.0686630 | + | 0.0441270i | ||||
\(947\) | 0.580894 | + | 4.04021i | 0.0188765 | + | 0.131289i | 0.997081 | − | 0.0763570i | \(-0.0243289\pi\) |
−0.978204 | + | 0.207646i | \(0.933420\pi\) | |||||||
\(948\) | 2.57269 | + | 5.63341i | 0.0835572 | + | 0.182965i | ||||
\(949\) | −7.15195 | + | 49.7429i | −0.232162 | + | 1.61472i | ||||
\(950\) | −36.0842 | + | 10.5953i | −1.17073 | + | 0.343756i | ||||
\(951\) | 21.7582 | + | 13.9831i | 0.705558 | + | 0.453434i | ||||
\(952\) | 6.07498 | − | 13.3024i | 0.196891 | − | 0.431132i | ||||
\(953\) | 0.895477 | + | 0.262936i | 0.0290073 | + | 0.00851732i | 0.296204 | − | 0.955125i | \(-0.404279\pi\) |
−0.267197 | + | 0.963642i | \(0.586097\pi\) | |||||||
\(954\) | −5.68388 | − | 6.55955i | −0.184023 | − | 0.212373i | ||||
\(955\) | 23.7958 | + | 27.4618i | 0.770015 | + | 0.888644i | ||||
\(956\) | −10.4619 | − | 3.07190i | −0.338363 | − | 0.0993523i | ||||
\(957\) | 3.67287 | − | 8.04246i | 0.118727 | − | 0.259976i | ||||
\(958\) | 5.98221 | + | 3.84453i | 0.193276 | + | 0.124211i | ||||
\(959\) | 2.03939 | − | 0.598819i | 0.0658554 | − | 0.0193369i | ||||
\(960\) | 1.93219 | − | 13.4387i | 0.0623612 | − | 0.433731i | ||||
\(961\) | −10.0342 | − | 21.9718i | −0.323684 | − | 0.708768i | ||||
\(962\) | 2.48284 | + | 17.2686i | 0.0800501 | + | 0.556761i | ||||
\(963\) | 12.4273 | − | 7.98657i | 0.400466 | − | 0.257364i | ||||
\(964\) | −1.50967 | + | 1.74225i | −0.0486231 | + | 0.0561140i | ||||
\(965\) | 55.3553 | 1.78195 | ||||||||
\(966\) | −3.95958 | − | 0.445080i | −0.127398 | − | 0.0143202i | ||||
\(967\) | −50.6595 | −1.62910 | −0.814550 | − | 0.580093i | \(-0.803016\pi\) | ||||
−0.814550 | + | 0.580093i | \(0.803016\pi\) | |||||||
\(968\) | −17.4764 | + | 20.1688i | −0.561712 | + | 0.648251i | ||||
\(969\) | −34.8980 | + | 22.4276i | −1.12109 | + | 0.720479i | ||||
\(970\) | 1.68918 | + | 11.7485i | 0.0542364 | + | 0.377222i | ||||
\(971\) | 9.42561 | + | 20.6392i | 0.302482 | + | 0.662344i | 0.998446 | − | 0.0557335i | \(-0.0177497\pi\) |
−0.695963 | + | 0.718077i | \(0.745022\pi\) | |||||||
\(972\) | 0.186393 | − | 1.29639i | 0.00597855 | − | 0.0415817i | ||||
\(973\) | 19.7044 | − | 5.78574i | 0.631695 | − | 0.185482i | ||||
\(974\) | −28.5235 | − | 18.3309i | −0.913951 | − | 0.587361i | ||||
\(975\) | −11.0633 | + | 24.2253i | −0.354310 | + | 0.775831i | ||||
\(976\) | −0.200919 | − | 0.0589953i | −0.00643128 | − | 0.00188839i | ||||
\(977\) | −1.12279 | − | 1.29577i | −0.0359212 | − | 0.0414553i | 0.737505 | − | 0.675342i | \(-0.236004\pi\) |
−0.773426 | + | 0.633887i | \(0.781459\pi\) | |||||||
\(978\) | 8.90209 | + | 10.2736i | 0.284657 | + | 0.328512i | ||||
\(979\) | 15.2254 | + | 4.47057i | 0.486605 | + | 0.142880i | ||||
\(980\) | 1.78827 | − | 3.91576i | 0.0571241 | − | 0.125084i | ||||
\(981\) | −5.86286 | − | 3.76783i | −0.187187 | − | 0.120297i | ||||
\(982\) | 22.1960 | − | 6.51732i | 0.708301 | − | 0.207976i | ||||
\(983\) | −3.93602 | + | 27.3756i | −0.125540 | + | 0.873147i | 0.825571 | + | 0.564298i | \(0.190853\pi\) |
−0.951111 | + | 0.308849i | \(0.900056\pi\) | |||||||
\(984\) | 0.943898 | + | 2.06685i | 0.0300904 | + | 0.0658887i | ||||
\(985\) | −7.16773 | − | 49.8527i | −0.228383 | − | 1.58844i | ||||
\(986\) | −28.8802 | + | 18.5602i | −0.919732 | + | 0.591076i | ||||
\(987\) | −3.57694 | + | 4.12801i | −0.113855 | + | 0.131396i | ||||
\(988\) | 46.8867 | 1.49166 | ||||||||
\(989\) | 3.96297 | + | 12.1018i | 0.126015 | + | 0.384816i | ||||
\(990\) | −3.10746 | −0.0987614 | ||||||||
\(991\) | −21.4360 | + | 24.7385i | −0.680937 | + | 0.785844i | −0.986046 | − | 0.166474i | \(-0.946762\pi\) |
0.305109 | + | 0.952318i | \(0.401307\pi\) | |||||||
\(992\) | −12.7171 | + | 8.17280i | −0.403769 | + | 0.259487i | ||||
\(993\) | 0.472549 | + | 3.28665i | 0.0149959 | + | 0.104299i | ||||
\(994\) | −3.11095 | − | 6.81203i | −0.0986733 | − | 0.216064i | ||||
\(995\) | 4.87093 | − | 33.8781i | 0.154419 | − | 1.07401i | ||||
\(996\) | 7.60128 | − | 2.23194i | 0.240856 | − | 0.0707216i | ||||
\(997\) | −7.75648 | − | 4.98479i | −0.245650 | − | 0.157870i | 0.412022 | − | 0.911174i | \(-0.364823\pi\) |
−0.657672 | + | 0.753304i | \(0.728459\pi\) | |||||||
\(998\) | 2.03097 | − | 4.44719i | 0.0642891 | − | 0.140773i | ||||
\(999\) | −4.39009 | − | 1.28905i | −0.138896 | − | 0.0407836i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 483.2.q.c.85.1 | ✓ | 20 | |
23.13 | even | 11 | inner | 483.2.q.c.358.1 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.q.c.85.1 | ✓ | 20 | 1.1 | even | 1 | trivial | |
483.2.q.c.358.1 | yes | 20 | 23.13 | even | 11 | inner |