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: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 64.3 | ||
Character | \(\chi\) | \(=\) | 483.64 |
Dual form | 483.2.q.e.400.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{6}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.345617 | + | 0.101482i | 0.244388 | + | 0.0717587i | 0.401632 | − | 0.915801i | \(-0.368443\pi\) |
−0.157245 | + | 0.987560i | \(0.550261\pi\) | |||||||
\(3\) | 0.654861 | − | 0.755750i | 0.378084 | − | 0.436332i | ||||
\(4\) | −1.57335 | − | 1.01113i | −0.786677 | − | 0.505567i | ||||
\(5\) | −0.475765 | + | 3.30902i | −0.212769 | + | 1.47984i | 0.551085 | + | 0.834449i | \(0.314214\pi\) |
−0.763853 | + | 0.645390i | \(0.776695\pi\) | |||||||
\(6\) | 0.303026 | − | 0.194743i | 0.123710 | − | 0.0795034i | ||||
\(7\) | −0.415415 | − | 0.909632i | −0.157012 | − | 0.343809i | ||||
\(8\) | −0.912937 | − | 1.05359i | −0.322772 | − | 0.372499i | ||||
\(9\) | −0.142315 | − | 0.989821i | −0.0474383 | − | 0.329940i | ||||
\(10\) | −0.500239 | + | 1.09537i | −0.158189 | + | 0.346387i | ||||
\(11\) | 5.86702 | − | 1.72271i | 1.76897 | − | 0.519417i | 0.775287 | − | 0.631609i | \(-0.217605\pi\) |
0.993687 | + | 0.112192i | \(0.0357871\pi\) | |||||||
\(12\) | −1.79449 | + | 0.526910i | −0.518025 | + | 0.152106i | ||||
\(13\) | 1.76225 | − | 3.85879i | 0.488760 | − | 1.07024i | −0.491201 | − | 0.871046i | \(-0.663442\pi\) |
0.979961 | − | 0.199190i | \(-0.0638309\pi\) | |||||||
\(14\) | −0.0512629 | − | 0.356541i | −0.0137006 | − | 0.0952896i | ||||
\(15\) | 2.18923 | + | 2.52651i | 0.565257 | + | 0.652341i | ||||
\(16\) | 1.34525 | + | 2.94570i | 0.336314 | + | 0.736424i | ||||
\(17\) | 5.60238 | − | 3.60043i | 1.35878 | − | 0.873233i | 0.360549 | − | 0.932740i | \(-0.382589\pi\) |
0.998228 | + | 0.0595077i | \(0.0189531\pi\) | |||||||
\(18\) | 0.0512629 | − | 0.356541i | 0.0120828 | − | 0.0840375i | ||||
\(19\) | 1.50947 | + | 0.970075i | 0.346295 | + | 0.222551i | 0.702213 | − | 0.711967i | \(-0.252195\pi\) |
−0.355918 | + | 0.934517i | \(0.615832\pi\) | |||||||
\(20\) | 4.09441 | − | 4.72520i | 0.915538 | − | 1.05659i | ||||
\(21\) | −0.959493 | − | 0.281733i | −0.209379 | − | 0.0614791i | ||||
\(22\) | 2.20256 | 0.469588 | ||||||||
\(23\) | 2.85360 | + | 3.85447i | 0.595017 | + | 0.803713i | ||||
\(24\) | −1.39409 | −0.284568 | ||||||||
\(25\) | −5.92581 | − | 1.73997i | −1.18516 | − | 0.347995i | ||||
\(26\) | 1.00066 | − | 1.15482i | 0.196246 | − | 0.226480i | ||||
\(27\) | −0.841254 | − | 0.540641i | −0.161899 | − | 0.104046i | ||||
\(28\) | −0.266164 | + | 1.85121i | −0.0503003 | + | 0.349847i | ||||
\(29\) | −4.03421 | + | 2.59263i | −0.749134 | + | 0.481439i | −0.858660 | − | 0.512545i | \(-0.828703\pi\) |
0.109527 | + | 0.993984i | \(0.465066\pi\) | |||||||
\(30\) | 0.500239 | + | 1.09537i | 0.0913307 | + | 0.199986i | ||||
\(31\) | −2.23931 | − | 2.58431i | −0.402193 | − | 0.464155i | 0.518138 | − | 0.855297i | \(-0.326625\pi\) |
−0.920330 | + | 0.391142i | \(0.872080\pi\) | |||||||
\(32\) | 0.562807 | + | 3.91441i | 0.0994911 | + | 0.691976i | ||||
\(33\) | 2.54014 | − | 5.56214i | 0.442182 | − | 0.968244i | ||||
\(34\) | 2.30165 | − | 0.675827i | 0.394730 | − | 0.115903i | ||||
\(35\) | 3.20763 | − | 0.941846i | 0.542189 | − | 0.159201i | ||||
\(36\) | −0.776930 | + | 1.70124i | −0.129488 | + | 0.283540i | ||||
\(37\) | 1.00868 | + | 7.01551i | 0.165826 | + | 1.15334i | 0.887398 | + | 0.461004i | \(0.152511\pi\) |
−0.721573 | + | 0.692339i | \(0.756580\pi\) | |||||||
\(38\) | 0.423251 | + | 0.488458i | 0.0686604 | + | 0.0792384i | ||||
\(39\) | −1.76225 | − | 3.85879i | −0.282186 | − | 0.617901i | ||||
\(40\) | 3.92068 | − | 2.51967i | 0.619914 | − | 0.398395i | ||||
\(41\) | 1.13870 | − | 7.91982i | 0.177835 | − | 1.23687i | −0.683925 | − | 0.729552i | \(-0.739729\pi\) |
0.861760 | − | 0.507316i | \(-0.169362\pi\) | |||||||
\(42\) | −0.303026 | − | 0.194743i | −0.0467579 | − | 0.0300495i | ||||
\(43\) | 1.60089 | − | 1.84752i | 0.244133 | − | 0.281745i | −0.620438 | − | 0.784256i | \(-0.713045\pi\) |
0.864571 | + | 0.502511i | \(0.167590\pi\) | |||||||
\(44\) | −10.9728 | − | 3.22190i | −1.65421 | − | 0.485720i | ||||
\(45\) | 3.34305 | 0.498352 | ||||||||
\(46\) | 0.595092 | + | 1.62176i | 0.0877415 | + | 0.239115i | ||||
\(47\) | −12.3605 | −1.80297 | −0.901483 | − | 0.432814i | \(-0.857521\pi\) | ||||
−0.901483 | + | 0.432814i | \(0.857521\pi\) | |||||||
\(48\) | 3.10716 | + | 0.912345i | 0.448480 | + | 0.131686i | ||||
\(49\) | −0.654861 | + | 0.755750i | −0.0935515 | + | 0.107964i | ||||
\(50\) | −1.87148 | − | 1.20273i | −0.264667 | − | 0.170091i | ||||
\(51\) | 0.947754 | − | 6.59178i | 0.132712 | − | 0.923033i | ||||
\(52\) | −6.67440 | + | 4.28938i | −0.925573 | + | 0.594829i | ||||
\(53\) | −2.31189 | − | 5.06233i | −0.317562 | − | 0.695364i | 0.681783 | − | 0.731555i | \(-0.261205\pi\) |
−0.999345 | + | 0.0361906i | \(0.988478\pi\) | |||||||
\(54\) | −0.235886 | − | 0.272227i | −0.0321000 | − | 0.0370454i | ||||
\(55\) | 2.90917 | + | 20.2337i | 0.392272 | + | 2.72831i | ||||
\(56\) | −0.579127 | + | 1.26811i | −0.0773891 | + | 0.169459i | ||||
\(57\) | 1.72162 | − | 0.505515i | 0.228035 | − | 0.0669570i | ||||
\(58\) | −1.65739 | + | 0.486655i | −0.217627 | + | 0.0639009i | ||||
\(59\) | −1.10137 | + | 2.41167i | −0.143387 | + | 0.313973i | −0.967676 | − | 0.252195i | \(-0.918847\pi\) |
0.824290 | + | 0.566168i | \(0.191575\pi\) | |||||||
\(60\) | −0.889801 | − | 6.18870i | −0.114873 | − | 0.798958i | ||||
\(61\) | −3.59628 | − | 4.15033i | −0.460457 | − | 0.531396i | 0.477276 | − | 0.878754i | \(-0.341624\pi\) |
−0.937733 | + | 0.347358i | \(0.887079\pi\) | |||||||
\(62\) | −0.511683 | − | 1.12043i | −0.0649838 | − | 0.142295i | ||||
\(63\) | −0.841254 | + | 0.540641i | −0.105988 | + | 0.0681143i | ||||
\(64\) | 0.719000 | − | 5.00075i | 0.0898750 | − | 0.625094i | ||||
\(65\) | 11.9304 | + | 7.66720i | 1.47978 | + | 0.951000i | ||||
\(66\) | 1.44237 | − | 1.66459i | 0.177544 | − | 0.204896i | ||||
\(67\) | −8.98787 | − | 2.63908i | −1.09804 | − | 0.322414i | −0.317968 | − | 0.948101i | \(-0.603001\pi\) |
−0.780074 | + | 0.625687i | \(0.784819\pi\) | |||||||
\(68\) | −12.4550 | −1.51040 | ||||||||
\(69\) | 4.78173 | + | 0.367535i | 0.575652 | + | 0.0442460i | ||||
\(70\) | 1.20419 | 0.143928 | ||||||||
\(71\) | 12.4136 | + | 3.64497i | 1.47323 | + | 0.432578i | 0.917146 | − | 0.398550i | \(-0.130487\pi\) |
0.556080 | + | 0.831129i | \(0.312305\pi\) | |||||||
\(72\) | −0.912937 | + | 1.05359i | −0.107591 | + | 0.124166i | ||||
\(73\) | 14.2159 | + | 9.13599i | 1.66384 | + | 1.06929i | 0.912225 | + | 0.409689i | \(0.134363\pi\) |
0.751618 | + | 0.659598i | \(0.229274\pi\) | |||||||
\(74\) | −0.363333 | + | 2.52704i | −0.0422366 | + | 0.293762i | ||||
\(75\) | −5.19556 | + | 3.33898i | −0.599932 | + | 0.385553i | ||||
\(76\) | −1.39405 | − | 3.05255i | −0.159909 | − | 0.350151i | ||||
\(77\) | −4.00428 | − | 4.62119i | −0.456330 | − | 0.526633i | ||||
\(78\) | −0.217465 | − | 1.51250i | −0.0246230 | − | 0.171257i | ||||
\(79\) | −3.26684 | + | 7.15339i | −0.367549 | + | 0.804819i | 0.632006 | + | 0.774964i | \(0.282232\pi\) |
−0.999554 | + | 0.0298554i | \(0.990495\pi\) | |||||||
\(80\) | −10.3874 | + | 3.05001i | −1.16135 | + | 0.341002i | ||||
\(81\) | −0.959493 | + | 0.281733i | −0.106610 | + | 0.0313036i | ||||
\(82\) | 1.19727 | − | 2.62166i | 0.132217 | − | 0.289514i | ||||
\(83\) | 0.226912 | + | 1.57821i | 0.0249069 | + | 0.173231i | 0.998478 | − | 0.0551534i | \(-0.0175648\pi\) |
−0.973571 | + | 0.228384i | \(0.926656\pi\) | |||||||
\(84\) | 1.22475 | + | 1.41344i | 0.133632 | + | 0.154219i | ||||
\(85\) | 9.24848 | + | 20.2514i | 1.00314 | + | 2.19657i | ||||
\(86\) | 0.740784 | − | 0.476073i | 0.0798808 | − | 0.0513363i | ||||
\(87\) | −0.682467 | + | 4.74666i | −0.0731681 | + | 0.508896i | ||||
\(88\) | −7.17124 | − | 4.60868i | −0.764457 | − | 0.491287i | ||||
\(89\) | 4.21544 | − | 4.86488i | 0.446836 | − | 0.515676i | −0.486988 | − | 0.873409i | \(-0.661905\pi\) |
0.933824 | + | 0.357732i | \(0.116450\pi\) | |||||||
\(90\) | 1.15541 | + | 0.339260i | 0.121791 | + | 0.0357611i | ||||
\(91\) | −4.24214 | −0.444698 | ||||||||
\(92\) | −0.592340 | − | 8.94983i | −0.0617557 | − | 0.933084i | ||||
\(93\) | −3.41953 | −0.354588 | ||||||||
\(94\) | −4.27200 | − | 1.25437i | −0.440623 | − | 0.129379i | ||||
\(95\) | −3.92815 | + | 4.53333i | −0.403020 | + | 0.465110i | ||||
\(96\) | 3.32687 | + | 2.13805i | 0.339547 | + | 0.218214i | ||||
\(97\) | −0.793843 | + | 5.52130i | −0.0806026 | + | 0.560603i | 0.909002 | + | 0.416791i | \(0.136845\pi\) |
−0.989605 | + | 0.143812i | \(0.954064\pi\) | |||||||
\(98\) | −0.303026 | + | 0.194743i | −0.0306102 | + | 0.0196720i | ||||
\(99\) | −2.54014 | − | 5.56214i | −0.255294 | − | 0.559016i | ||||
\(100\) | 7.56405 | + | 8.72938i | 0.756405 | + | 0.872938i | ||||
\(101\) | −1.74346 | − | 12.1260i | −0.173480 | − | 1.20658i | −0.871461 | − | 0.490465i | \(-0.836827\pi\) |
0.697981 | − | 0.716117i | \(-0.254082\pi\) | |||||||
\(102\) | 0.996507 | − | 2.18205i | 0.0986689 | − | 0.216055i | ||||
\(103\) | −6.08376 | + | 1.78635i | −0.599451 | + | 0.176015i | −0.567359 | − | 0.823470i | \(-0.692035\pi\) |
−0.0320915 | + | 0.999485i | \(0.510217\pi\) | |||||||
\(104\) | −5.67439 | + | 1.66615i | −0.556420 | + | 0.163380i | ||||
\(105\) | 1.38875 | − | 3.04094i | 0.135528 | − | 0.296766i | ||||
\(106\) | −0.285291 | − | 1.98424i | −0.0277099 | − | 0.192726i | ||||
\(107\) | 10.8562 | + | 12.5287i | 1.04951 | + | 1.21120i | 0.976869 | + | 0.213837i | \(0.0685962\pi\) |
0.0726376 | + | 0.997358i | \(0.476858\pi\) | |||||||
\(108\) | 0.776930 | + | 1.70124i | 0.0747601 | + | 0.163702i | ||||
\(109\) | −0.905192 | + | 0.581732i | −0.0867017 | + | 0.0557198i | −0.583273 | − | 0.812276i | \(-0.698228\pi\) |
0.496572 | + | 0.867996i | \(0.334592\pi\) | |||||||
\(110\) | −1.04790 | + | 7.28833i | −0.0999137 | + | 0.694915i | ||||
\(111\) | 5.96251 | + | 3.83187i | 0.565936 | + | 0.363705i | ||||
\(112\) | 2.12066 | − | 2.44737i | 0.200384 | − | 0.231255i | ||||
\(113\) | −8.45053 | − | 2.48130i | −0.794959 | − | 0.233421i | −0.141058 | − | 0.990001i | \(-0.545050\pi\) |
−0.653901 | + | 0.756580i | \(0.726869\pi\) | |||||||
\(114\) | 0.646323 | 0.0605337 | ||||||||
\(115\) | −14.1122 | + | 7.60880i | −1.31597 | + | 0.709525i | ||||
\(116\) | 8.96874 | 0.832726 | ||||||||
\(117\) | −4.07031 | − | 1.19515i | −0.376300 | − | 0.110492i | ||||
\(118\) | −0.625395 | + | 0.721744i | −0.0575722 | + | 0.0664419i | ||||
\(119\) | −5.60238 | − | 3.60043i | −0.513569 | − | 0.330051i | ||||
\(120\) | 0.663261 | − | 4.61308i | 0.0605472 | − | 0.421115i | ||||
\(121\) | 22.2004 | − | 14.2673i | 2.01822 | − | 1.29703i | ||||
\(122\) | −0.821750 | − | 1.79938i | −0.0743978 | − | 0.162908i | ||||
\(123\) | −5.23971 | − | 6.04695i | −0.472449 | − | 0.545235i | ||||
\(124\) | 0.910156 | + | 6.33027i | 0.0817344 | + | 0.568475i | ||||
\(125\) | 1.63314 | − | 3.57608i | 0.146072 | − | 0.319854i | ||||
\(126\) | −0.345617 | + | 0.101482i | −0.0307900 | + | 0.00904075i | ||||
\(127\) | −1.12888 | + | 0.331468i | −0.100172 | + | 0.0294131i | −0.331434 | − | 0.943478i | \(-0.607533\pi\) |
0.231263 | + | 0.972891i | \(0.425714\pi\) | |||||||
\(128\) | 4.04164 | − | 8.84995i | 0.357234 | − | 0.782232i | ||||
\(129\) | −0.347906 | − | 2.41974i | −0.0306314 | − | 0.213046i | ||||
\(130\) | 3.34526 | + | 3.86064i | 0.293399 | + | 0.338600i | ||||
\(131\) | 1.67461 | + | 3.66688i | 0.146311 | + | 0.320377i | 0.968572 | − | 0.248735i | \(-0.0800147\pi\) |
−0.822261 | + | 0.569111i | \(0.807287\pi\) | |||||||
\(132\) | −9.62061 | + | 6.18279i | −0.837366 | + | 0.538143i | ||||
\(133\) | 0.255356 | − | 1.77604i | 0.0221422 | − | 0.154002i | ||||
\(134\) | −2.83854 | − | 1.82422i | −0.245212 | − | 0.157588i | ||||
\(135\) | 2.18923 | − | 2.52651i | 0.188419 | − | 0.217447i | ||||
\(136\) | −8.90798 | − | 2.61562i | −0.763853 | − | 0.224287i | ||||
\(137\) | 5.09374 | 0.435187 | 0.217594 | − | 0.976039i | \(-0.430179\pi\) | ||||
0.217594 | + | 0.976039i | \(0.430179\pi\) | |||||||
\(138\) | 1.61535 | + | 0.612286i | 0.137507 | + | 0.0521213i | ||||
\(139\) | −20.1100 | −1.70571 | −0.852855 | − | 0.522147i | \(-0.825131\pi\) | ||||
−0.852855 | + | 0.522147i | \(0.825131\pi\) | |||||||
\(140\) | −5.99908 | − | 1.76149i | −0.507014 | − | 0.148873i | ||||
\(141\) | −8.09442 | + | 9.34146i | −0.681673 | + | 0.786693i | ||||
\(142\) | 3.92046 | + | 2.51952i | 0.328997 | + | 0.211434i | ||||
\(143\) | 3.69157 | − | 25.6755i | 0.308705 | − | 2.14709i | ||||
\(144\) | 2.72426 | − | 1.75078i | 0.227022 | − | 0.145898i | ||||
\(145\) | −6.65973 | − | 14.5828i | −0.553060 | − | 1.21103i | ||||
\(146\) | 3.98610 | + | 4.60021i | 0.329892 | + | 0.380716i | ||||
\(147\) | 0.142315 | + | 0.989821i | 0.0117379 | + | 0.0816391i | ||||
\(148\) | 5.50661 | − | 12.0578i | 0.452641 | − | 0.991144i | ||||
\(149\) | 6.51569 | − | 1.91318i | 0.533786 | − | 0.156734i | −0.00372096 | − | 0.999993i | \(-0.501184\pi\) |
0.537507 | + | 0.843259i | \(0.319366\pi\) | |||||||
\(150\) | −2.13452 | + | 0.626751i | −0.174283 | + | 0.0511740i | ||||
\(151\) | −3.39627 | + | 7.43679i | −0.276384 | + | 0.605197i | −0.996018 | − | 0.0891571i | \(-0.971583\pi\) |
0.719633 | + | 0.694354i | \(0.244310\pi\) | |||||||
\(152\) | −0.355991 | − | 2.47597i | −0.0288747 | − | 0.200828i | ||||
\(153\) | −4.36108 | − | 5.03296i | −0.352573 | − | 0.406891i | ||||
\(154\) | −0.914978 | − | 2.00352i | −0.0737310 | − | 0.161448i | ||||
\(155\) | 9.61691 | − | 6.18041i | 0.772449 | − | 0.496423i | ||||
\(156\) | −1.12911 | + | 7.85312i | −0.0904010 | + | 0.628753i | ||||
\(157\) | −7.13356 | − | 4.58446i | −0.569320 | − | 0.365880i | 0.224089 | − | 0.974569i | \(-0.428059\pi\) |
−0.793409 | + | 0.608689i | \(0.791696\pi\) | |||||||
\(158\) | −1.85502 | + | 2.14080i | −0.147577 | + | 0.170313i | ||||
\(159\) | −5.33982 | − | 1.56791i | −0.423475 | − | 0.124343i | ||||
\(160\) | −13.2206 | −1.04518 | ||||||||
\(161\) | 2.32072 | − | 4.19693i | 0.182899 | − | 0.330765i | ||||
\(162\) | −0.360207 | −0.0283006 | ||||||||
\(163\) | −18.7587 | − | 5.50806i | −1.46930 | − | 0.431424i | −0.553426 | − | 0.832898i | \(-0.686680\pi\) |
−0.915871 | + | 0.401474i | \(0.868498\pi\) | |||||||
\(164\) | −9.79957 | + | 11.3093i | −0.765218 | + | 0.883109i | ||||
\(165\) | 17.1967 | + | 11.0517i | 1.33876 | + | 0.860370i | ||||
\(166\) | −0.0817356 | + | 0.568483i | −0.00634391 | + | 0.0441229i | ||||
\(167\) | −3.14268 | + | 2.01968i | −0.243188 | + | 0.156287i | −0.656557 | − | 0.754276i | \(-0.727988\pi\) |
0.413370 | + | 0.910563i | \(0.364352\pi\) | |||||||
\(168\) | 0.579127 | + | 1.26811i | 0.0446806 | + | 0.0978370i | ||||
\(169\) | −3.27155 | − | 3.77557i | −0.251658 | − | 0.290428i | ||||
\(170\) | 1.14128 | + | 7.93776i | 0.0875320 | + | 0.608798i | ||||
\(171\) | 0.745382 | − | 1.63216i | 0.0570008 | − | 0.124814i | ||||
\(172\) | −4.38686 | + | 1.28810i | −0.334495 | + | 0.0982165i | ||||
\(173\) | 10.6152 | − | 3.11689i | 0.807056 | − | 0.236973i | 0.147922 | − | 0.988999i | \(-0.452741\pi\) |
0.659133 | + | 0.752026i | \(0.270923\pi\) | |||||||
\(174\) | −0.717573 | + | 1.57127i | −0.0543991 | + | 0.119117i | ||||
\(175\) | 0.878933 | + | 6.11311i | 0.0664411 | + | 0.462108i | ||||
\(176\) | 12.9672 | + | 14.9650i | 0.977441 | + | 1.12803i | ||||
\(177\) | 1.10137 | + | 2.41167i | 0.0827843 | + | 0.181272i | ||||
\(178\) | 1.95063 | − | 1.25359i | 0.146206 | − | 0.0939606i | ||||
\(179\) | −2.50783 | + | 17.4423i | −0.187444 | + | 1.30370i | 0.651153 | + | 0.758946i | \(0.274286\pi\) |
−0.838597 | + | 0.544753i | \(0.816623\pi\) | |||||||
\(180\) | −5.25980 | − | 3.38027i | −0.392043 | − | 0.251950i | ||||
\(181\) | −10.6381 | + | 12.2770i | −0.790723 | + | 0.912542i | −0.997834 | − | 0.0657748i | \(-0.979048\pi\) |
0.207112 | + | 0.978317i | \(0.433594\pi\) | |||||||
\(182\) | −1.46616 | − | 0.430502i | −0.108679 | − | 0.0319109i | ||||
\(183\) | −5.49168 | −0.405956 | ||||||||
\(184\) | 1.45586 | − | 6.52540i | 0.107327 | − | 0.481059i | ||||
\(185\) | −23.6944 | −1.74204 | ||||||||
\(186\) | −1.18184 | − | 0.347021i | −0.0866571 | − | 0.0254448i | ||||
\(187\) | 26.6668 | − | 30.7751i | 1.95007 | − | 2.25050i | ||||
\(188\) | 19.4475 | + | 12.4981i | 1.41835 | + | 0.911520i | ||||
\(189\) | −0.142315 | + | 0.989821i | −0.0103519 | + | 0.0719989i | ||||
\(190\) | −1.81769 | + | 1.16816i | −0.131869 | + | 0.0847470i | ||||
\(191\) | −2.84759 | − | 6.23534i | −0.206044 | − | 0.451174i | 0.778194 | − | 0.628024i | \(-0.216136\pi\) |
−0.984238 | + | 0.176851i | \(0.943409\pi\) | |||||||
\(192\) | −3.30847 | − | 3.81818i | −0.238768 | − | 0.275554i | ||||
\(193\) | 3.88436 | + | 27.0163i | 0.279602 | + | 1.94468i | 0.325016 | + | 0.945709i | \(0.394630\pi\) |
−0.0454134 | + | 0.998968i | \(0.514461\pi\) | |||||||
\(194\) | −0.834679 | + | 1.82769i | −0.0599265 | + | 0.131221i | ||||
\(195\) | 13.6072 | − | 3.99545i | 0.974435 | − | 0.286120i | ||||
\(196\) | 1.79449 | − | 0.526910i | 0.128178 | − | 0.0376365i | ||||
\(197\) | −7.96737 | + | 17.4461i | −0.567652 | + | 1.24298i | 0.380387 | + | 0.924828i | \(0.375791\pi\) |
−0.948038 | + | 0.318156i | \(0.896936\pi\) | |||||||
\(198\) | −0.313458 | − | 2.18015i | −0.0222765 | − | 0.154936i | ||||
\(199\) | 1.26585 | + | 1.46086i | 0.0897334 | + | 0.103558i | 0.798840 | − | 0.601543i | \(-0.205447\pi\) |
−0.709107 | + | 0.705101i | \(0.750902\pi\) | |||||||
\(200\) | 3.57668 | + | 7.83183i | 0.252909 | + | 0.553794i | ||||
\(201\) | −7.88028 | + | 5.06435i | −0.555832 | + | 0.357212i | ||||
\(202\) | 0.628006 | − | 4.36788i | 0.0441863 | − | 0.307323i | ||||
\(203\) | 4.03421 | + | 2.59263i | 0.283146 | + | 0.181967i | ||||
\(204\) | −8.15632 | + | 9.41290i | −0.571057 | + | 0.659035i | ||||
\(205\) | 25.6651 | + | 7.53595i | 1.79253 | + | 0.526334i | ||||
\(206\) | −2.28393 | −0.159129 | ||||||||
\(207\) | 3.40913 | − | 3.37310i | 0.236951 | − | 0.234447i | ||||
\(208\) | 13.7375 | 0.952524 | ||||||||
\(209\) | 10.5272 | + | 3.09107i | 0.728184 | + | 0.213814i | ||||
\(210\) | 0.788578 | − | 0.910067i | 0.0544170 | − | 0.0628006i | ||||
\(211\) | 4.42148 | + | 2.84151i | 0.304387 | + | 0.195618i | 0.683913 | − | 0.729563i | \(-0.260277\pi\) |
−0.379526 | + | 0.925181i | \(0.623913\pi\) | |||||||
\(212\) | −1.48127 | + | 10.3025i | −0.101734 | + | 0.707576i | ||||
\(213\) | 10.8839 | − | 6.99465i | 0.745751 | − | 0.479265i | ||||
\(214\) | 2.48064 | + | 5.43184i | 0.169573 | + | 0.371313i | ||||
\(215\) | 5.35185 | + | 6.17636i | 0.364993 | + | 0.421224i | ||||
\(216\) | 0.198400 | + | 1.37990i | 0.0134994 | + | 0.0938905i | ||||
\(217\) | −1.42052 | + | 3.11051i | −0.0964313 | + | 0.211155i | ||||
\(218\) | −0.371885 | + | 0.109195i | −0.0251872 | + | 0.00739564i | ||||
\(219\) | 16.2139 | − | 4.76085i | 1.09564 | − | 0.321708i | ||||
\(220\) | 15.8818 | − | 34.7764i | 1.07075 | − | 2.34462i | ||||
\(221\) | −4.02051 | − | 27.9633i | −0.270449 | − | 1.88101i | ||||
\(222\) | 1.67188 | + | 1.92945i | 0.112209 | + | 0.129496i | ||||
\(223\) | −6.71535 | − | 14.7046i | −0.449693 | − | 0.984691i | −0.989717 | − | 0.143041i | \(-0.954312\pi\) |
0.540023 | − | 0.841650i | \(-0.318415\pi\) | |||||||
\(224\) | 3.32687 | − | 2.13805i | 0.222286 | − | 0.142855i | ||||
\(225\) | −0.878933 | + | 6.11311i | −0.0585955 | + | 0.407541i | ||||
\(226\) | −2.66883 | − | 1.71516i | −0.177528 | − | 0.114090i | ||||
\(227\) | 0.993487 | − | 1.14655i | 0.0659400 | − | 0.0760989i | −0.721821 | − | 0.692080i | \(-0.756695\pi\) |
0.787761 | + | 0.615981i | \(0.211240\pi\) | |||||||
\(228\) | −3.21987 | − | 0.945439i | −0.213241 | − | 0.0626132i | ||||
\(229\) | −7.13850 | −0.471726 | −0.235863 | − | 0.971786i | \(-0.575792\pi\) | ||||
−0.235863 | + | 0.971786i | \(0.575792\pi\) | |||||||
\(230\) | −5.64956 | + | 1.19759i | −0.372521 | + | 0.0789670i | ||||
\(231\) | −6.11471 | −0.402318 | ||||||||
\(232\) | 6.41453 | + | 1.88348i | 0.421135 | + | 0.123656i | ||||
\(233\) | −2.51342 | + | 2.90064i | −0.164659 | + | 0.190027i | −0.832083 | − | 0.554651i | \(-0.812852\pi\) |
0.667423 | + | 0.744678i | \(0.267397\pi\) | |||||||
\(234\) | −1.28548 | − | 0.826127i | −0.0840344 | − | 0.0540056i | ||||
\(235\) | 5.88071 | − | 40.9012i | 0.383615 | − | 2.66810i | ||||
\(236\) | 4.17137 | − | 2.68078i | 0.271533 | − | 0.174504i | ||||
\(237\) | 3.26684 | + | 7.15339i | 0.212204 | + | 0.464663i | ||||
\(238\) | −1.57090 | − | 1.81291i | −0.101826 | − | 0.117514i | ||||
\(239\) | −2.67685 | − | 18.6179i | −0.173151 | − | 1.20429i | −0.872175 | − | 0.489194i | \(-0.837291\pi\) |
0.699024 | − | 0.715098i | \(-0.253618\pi\) | |||||||
\(240\) | −4.49725 | + | 9.84761i | −0.290296 | + | 0.635660i | ||||
\(241\) | 0.770547 | − | 0.226253i | 0.0496353 | − | 0.0145742i | −0.256821 | − | 0.966459i | \(-0.582675\pi\) |
0.306456 | + | 0.951885i | \(0.400857\pi\) | |||||||
\(242\) | 9.12071 | − | 2.67808i | 0.586301 | − | 0.172154i | ||||
\(243\) | −0.415415 | + | 0.909632i | −0.0266489 | + | 0.0583529i | ||||
\(244\) | 1.46169 | + | 10.1663i | 0.0935750 | + | 0.650829i | ||||
\(245\) | −2.18923 | − | 2.52651i | −0.139865 | − | 0.161413i | ||||
\(246\) | −1.19727 | − | 2.62166i | −0.0763354 | − | 0.167151i | ||||
\(247\) | 6.40338 | − | 4.11520i | 0.407437 | − | 0.261844i | ||||
\(248\) | −0.678434 | + | 4.71862i | −0.0430806 | + | 0.299632i | ||||
\(249\) | 1.34133 | + | 0.862019i | 0.0850032 | + | 0.0546282i | ||||
\(250\) | 0.927348 | − | 1.07022i | 0.0586506 | − | 0.0676864i | ||||
\(251\) | 0.326585 | + | 0.0958941i | 0.0206139 | + | 0.00605278i | 0.292023 | − | 0.956411i | \(-0.405672\pi\) |
−0.271409 | + | 0.962464i | \(0.587490\pi\) | |||||||
\(252\) | 1.87025 | 0.117815 | ||||||||
\(253\) | 23.3823 | + | 17.6983i | 1.47003 | + | 1.11268i | ||||
\(254\) | −0.423797 | −0.0265914 | ||||||||
\(255\) | 21.3614 | + | 6.27228i | 1.33770 | + | 0.392785i | ||||
\(256\) | −4.32198 | + | 4.98783i | −0.270124 | + | 0.311739i | ||||
\(257\) | −9.81449 | − | 6.30739i | −0.612211 | − | 0.393444i | 0.197475 | − | 0.980308i | \(-0.436726\pi\) |
−0.809686 | + | 0.586864i | \(0.800362\pi\) | |||||||
\(258\) | 0.125318 | − | 0.871609i | 0.00780198 | − | 0.0542640i | ||||
\(259\) | 5.96251 | − | 3.83187i | 0.370492 | − | 0.238101i | ||||
\(260\) | −11.0182 | − | 24.1265i | −0.683319 | − | 1.49626i | ||||
\(261\) | 3.14037 | + | 3.62418i | 0.194384 | + | 0.224331i | ||||
\(262\) | 0.206649 | + | 1.43728i | 0.0127668 | + | 0.0887953i | ||||
\(263\) | −0.414803 | + | 0.908291i | −0.0255778 | + | 0.0560076i | −0.921990 | − | 0.387214i | \(-0.873437\pi\) |
0.896412 | + | 0.443222i | \(0.146165\pi\) | |||||||
\(264\) | −8.17917 | + | 2.40162i | −0.503393 | + | 0.147810i | ||||
\(265\) | 17.8513 | − | 5.24160i | 1.09659 | − | 0.321989i | ||||
\(266\) | 0.268492 | − | 0.587916i | 0.0164623 | − | 0.0360474i | ||||
\(267\) | −0.916103 | − | 6.37164i | −0.0560646 | − | 0.389938i | ||||
\(268\) | 11.4726 | + | 13.2401i | 0.700803 | + | 0.808770i | ||||
\(269\) | 7.21043 | + | 15.7886i | 0.439628 | + | 0.962650i | 0.991666 | + | 0.128832i | \(0.0411227\pi\) |
−0.552039 | + | 0.833818i | \(0.686150\pi\) | |||||||
\(270\) | 1.01303 | − | 0.651035i | 0.0616511 | − | 0.0396207i | ||||
\(271\) | −1.14635 | + | 7.97306i | −0.0696360 | + | 0.484329i | 0.924923 | + | 0.380154i | \(0.124129\pi\) |
−0.994559 | + | 0.104175i | \(0.966780\pi\) | |||||||
\(272\) | 18.1424 | + | 11.6594i | 1.10004 | + | 0.706956i | ||||
\(273\) | −2.77801 | + | 3.20600i | −0.168133 | + | 0.194036i | ||||
\(274\) | 1.76048 | + | 0.516924i | 0.106355 | + | 0.0312285i | ||||
\(275\) | −37.7643 | −2.27727 | ||||||||
\(276\) | −7.15173 | − | 5.41323i | −0.430483 | − | 0.325838i | ||||
\(277\) | −1.97691 | −0.118781 | −0.0593904 | − | 0.998235i | \(-0.518916\pi\) | ||||
−0.0593904 | + | 0.998235i | \(0.518916\pi\) | |||||||
\(278\) | −6.95036 | − | 2.04081i | −0.416855 | − | 0.122400i | ||||
\(279\) | −2.23931 | + | 2.58431i | −0.134064 | + | 0.154718i | ||||
\(280\) | −3.92068 | − | 2.51967i | −0.234305 | − | 0.150579i | ||||
\(281\) | −1.23205 | + | 8.56913i | −0.0734982 | + | 0.511191i | 0.919503 | + | 0.393084i | \(0.128592\pi\) |
−0.993001 | + | 0.118107i | \(0.962317\pi\) | |||||||
\(282\) | −3.74556 | + | 2.40712i | −0.223045 | + | 0.143342i | ||||
\(283\) | −4.10986 | − | 8.99934i | −0.244306 | − | 0.534955i | 0.747264 | − | 0.664527i | \(-0.231367\pi\) |
−0.991570 | + | 0.129572i | \(0.958640\pi\) | |||||||
\(284\) | −15.8455 | − | 18.2867i | −0.940257 | − | 1.08511i | ||||
\(285\) | 0.853669 | + | 5.93740i | 0.0505670 | + | 0.351701i | ||||
\(286\) | 3.88147 | − | 8.49923i | 0.229516 | − | 0.502570i | ||||
\(287\) | −7.67715 | + | 2.25422i | −0.453168 | + | 0.133062i | ||||
\(288\) | 3.79447 | − | 1.11416i | 0.223591 | − | 0.0656523i | ||||
\(289\) | 11.3615 | − | 24.8782i | 0.668323 | − | 1.46342i | ||||
\(290\) | −0.821821 | − | 5.71589i | −0.0482590 | − | 0.335649i | ||||
\(291\) | 3.65286 | + | 4.21563i | 0.214135 | + | 0.247125i | ||||
\(292\) | −13.1289 | − | 28.7483i | −0.768312 | − | 1.68237i | ||||
\(293\) | 2.19527 | − | 1.41081i | 0.128249 | − | 0.0824206i | −0.474943 | − | 0.880016i | \(-0.657531\pi\) |
0.603192 | + | 0.797596i | \(0.293895\pi\) | |||||||
\(294\) | −0.0512629 | + | 0.356541i | −0.00298971 | + | 0.0207939i | ||||
\(295\) | −7.45628 | − | 4.79186i | −0.434121 | − | 0.278993i | ||||
\(296\) | 6.47058 | − | 7.46744i | 0.376095 | − | 0.434036i | ||||
\(297\) | −5.86702 | − | 1.72271i | −0.340439 | − | 0.0999619i | ||||
\(298\) | 2.44608 | 0.141698 | ||||||||
\(299\) | 19.9024 | − | 4.21890i | 1.15098 | − | 0.243985i | ||||
\(300\) | 11.5506 | 0.666875 | ||||||||
\(301\) | −2.34560 | − | 0.688730i | −0.135198 | − | 0.0396977i | ||||
\(302\) | −1.92851 | + | 2.22562i | −0.110973 | + | 0.128070i | ||||
\(303\) | −10.3059 | − | 6.62322i | −0.592061 | − | 0.380494i | ||||
\(304\) | −0.826931 | + | 5.75143i | −0.0474277 | + | 0.329867i | ||||
\(305\) | 15.4445 | − | 9.92559i | 0.884351 | − | 0.568338i | ||||
\(306\) | −0.996507 | − | 2.18205i | −0.0569665 | − | 0.124739i | ||||
\(307\) | −8.22936 | − | 9.49719i | −0.469674 | − | 0.542033i | 0.470647 | − | 0.882322i | \(-0.344021\pi\) |
−0.940321 | + | 0.340289i | \(0.889475\pi\) | |||||||
\(308\) | 1.62752 | + | 11.3196i | 0.0927364 | + | 0.644996i | ||||
\(309\) | −2.63398 | + | 5.76761i | −0.149842 | + | 0.328108i | ||||
\(310\) | 3.95096 | − | 1.16011i | 0.224400 | − | 0.0658897i | ||||
\(311\) | 5.05815 | − | 1.48521i | 0.286821 | − | 0.0842184i | −0.135157 | − | 0.990824i | \(-0.543154\pi\) |
0.421979 | + | 0.906606i | \(0.361336\pi\) | |||||||
\(312\) | −2.45674 | + | 5.37951i | −0.139086 | + | 0.304555i | ||||
\(313\) | 1.93002 | + | 13.4236i | 0.109091 | + | 0.758746i | 0.968779 | + | 0.247926i | \(0.0797490\pi\) |
−0.859688 | + | 0.510820i | \(0.829342\pi\) | |||||||
\(314\) | −2.00024 | − | 2.30840i | −0.112880 | − | 0.130270i | ||||
\(315\) | −1.38875 | − | 3.04094i | −0.0782473 | − | 0.171338i | ||||
\(316\) | 12.3729 | − | 7.95160i | 0.696032 | − | 0.447313i | ||||
\(317\) | −1.35282 | + | 9.40906i | −0.0759818 | + | 0.528465i | 0.915910 | + | 0.401383i | \(0.131470\pi\) |
−0.991892 | + | 0.127082i | \(0.959439\pi\) | |||||||
\(318\) | −1.68641 | − | 1.08379i | −0.0945694 | − | 0.0607761i | ||||
\(319\) | −19.2024 | + | 22.1608i | −1.07513 | + | 1.24077i | ||||
\(320\) | 16.2055 | + | 4.75837i | 0.905917 | + | 0.266001i | ||||
\(321\) | 16.5779 | 0.925285 | ||||||||
\(322\) | 1.22799 | − | 1.21502i | 0.0684334 | − | 0.0677103i | ||||
\(323\) | 11.9493 | 0.664877 | ||||||||
\(324\) | 1.79449 | + | 0.526910i | 0.0996940 | + | 0.0292728i | ||||
\(325\) | −17.1569 | + | 19.8002i | −0.951696 | + | 1.09832i | ||||
\(326\) | −5.92436 | − | 3.80735i | −0.328120 | − | 0.210870i | ||||
\(327\) | −0.153131 | + | 1.06505i | −0.00846818 | + | 0.0588975i | ||||
\(328\) | −9.38377 | + | 6.03058i | −0.518132 | + | 0.332983i | ||||
\(329\) | 5.13475 | + | 11.2435i | 0.283088 | + | 0.619876i | ||||
\(330\) | 4.82192 | + | 5.56480i | 0.265438 | + | 0.306332i | ||||
\(331\) | 0.553347 | + | 3.84861i | 0.0304147 | + | 0.211539i | 0.999361 | − | 0.0357306i | \(-0.0113758\pi\) |
−0.968947 | + | 0.247269i | \(0.920467\pi\) | |||||||
\(332\) | 1.23877 | − | 2.71252i | 0.0679862 | − | 0.148869i | ||||
\(333\) | 6.80055 | − | 1.99682i | 0.372668 | − | 0.109425i | ||||
\(334\) | −1.29112 | + | 0.379108i | −0.0706470 | + | 0.0207438i | ||||
\(335\) | 13.0089 | − | 28.4855i | 0.710751 | − | 1.55633i | ||||
\(336\) | −0.460864 | − | 3.20538i | −0.0251422 | − | 0.174868i | ||||
\(337\) | −16.0337 | − | 18.5039i | −0.873412 | − | 1.00797i | −0.999872 | − | 0.0159997i | \(-0.994907\pi\) |
0.126460 | − | 0.991972i | \(-0.459639\pi\) | |||||||
\(338\) | −0.747549 | − | 1.63690i | −0.0406613 | − | 0.0890358i | ||||
\(339\) | −7.40916 | + | 4.76158i | −0.402410 | + | 0.258613i | ||||
\(340\) | 5.92568 | − | 41.2140i | 0.321365 | − | 2.23514i | ||||
\(341\) | −17.5901 | − | 11.3045i | −0.952558 | − | 0.612172i | ||||
\(342\) | 0.423251 | − | 0.488458i | 0.0228868 | − | 0.0264128i | ||||
\(343\) | 0.959493 | + | 0.281733i | 0.0518078 | + | 0.0152121i | ||||
\(344\) | −3.40803 | −0.183749 | ||||||||
\(345\) | −3.49116 | + | 15.6480i | −0.187958 | + | 0.842459i | ||||
\(346\) | 3.98509 | 0.214239 | ||||||||
\(347\) | −5.93138 | − | 1.74161i | −0.318413 | − | 0.0934945i | 0.118621 | − | 0.992940i | \(-0.462153\pi\) |
−0.437034 | + | 0.899445i | \(0.643971\pi\) | |||||||
\(348\) | 5.87327 | − | 6.77812i | 0.314840 | − | 0.363345i | ||||
\(349\) | −8.04613 | − | 5.17093i | −0.430699 | − | 0.276794i | 0.307277 | − | 0.951620i | \(-0.400582\pi\) |
−0.737977 | + | 0.674826i | \(0.764218\pi\) | |||||||
\(350\) | −0.316598 | + | 2.20199i | −0.0169229 | + | 0.117701i | ||||
\(351\) | −3.56872 | + | 2.29348i | −0.190484 | + | 0.122417i | ||||
\(352\) | 10.0454 | + | 21.9964i | 0.535422 | + | 1.17241i | ||||
\(353\) | 18.7647 | + | 21.6556i | 0.998746 | + | 1.15261i | 0.988277 | + | 0.152669i | \(0.0487867\pi\) |
0.0104681 | + | 0.999945i | \(0.496668\pi\) | |||||||
\(354\) | 0.135911 | + | 0.945284i | 0.00722360 | + | 0.0502413i | ||||
\(355\) | −17.9673 | + | 39.3428i | −0.953603 | + | 2.08810i | ||||
\(356\) | −11.5514 | + | 3.39181i | −0.612225 | + | 0.179765i | ||||
\(357\) | −6.38980 | + | 1.87622i | −0.338184 | + | 0.0992998i | ||||
\(358\) | −2.63683 | + | 5.77385i | −0.139361 | + | 0.305157i | ||||
\(359\) | 0.320974 | + | 2.23242i | 0.0169403 | + | 0.117823i | 0.996537 | − | 0.0831512i | \(-0.0264985\pi\) |
−0.979597 | + | 0.200974i | \(0.935589\pi\) | |||||||
\(360\) | −3.05199 | − | 3.52219i | −0.160854 | − | 0.185636i | ||||
\(361\) | −6.55544 | − | 14.3544i | −0.345023 | − | 0.755496i | ||||
\(362\) | −4.92260 | + | 3.16356i | −0.258726 | + | 0.166273i | ||||
\(363\) | 3.75564 | − | 26.1211i | 0.197120 | − | 1.37100i | ||||
\(364\) | 6.67440 | + | 4.28938i | 0.349834 | + | 0.224824i | ||||
\(365\) | −36.9946 | + | 42.6941i | −1.93639 | + | 2.23471i | ||||
\(366\) | −1.89801 | − | 0.557307i | −0.0992108 | − | 0.0291309i | ||||
\(367\) | −2.32656 | −0.121446 | −0.0607228 | − | 0.998155i | \(-0.519341\pi\) | ||||
−0.0607228 | + | 0.998155i | \(0.519341\pi\) | |||||||
\(368\) | −7.51529 | + | 13.5911i | −0.391761 | + | 0.708484i | ||||
\(369\) | −8.00126 | −0.416529 | ||||||||
\(370\) | −8.18916 | − | 2.40456i | −0.425734 | − | 0.125007i | ||||
\(371\) | −3.64446 | + | 4.20593i | −0.189211 | + | 0.218361i | ||||
\(372\) | 5.38013 | + | 3.45760i | 0.278947 | + | 0.179268i | ||||
\(373\) | 0.294080 | − | 2.04537i | 0.0152269 | − | 0.105905i | −0.980791 | − | 0.195064i | \(-0.937509\pi\) |
0.996017 | + | 0.0891584i | \(0.0284177\pi\) | |||||||
\(374\) | 12.3396 | − | 7.93018i | 0.638066 | − | 0.410060i | ||||
\(375\) | −1.63314 | − | 3.57608i | −0.0843349 | − | 0.184668i | ||||
\(376\) | 11.2844 | + | 13.0229i | 0.581947 | + | 0.671603i | ||||
\(377\) | 2.89512 | + | 20.1360i | 0.149106 | + | 1.03706i | ||||
\(378\) | −0.149636 | + | 0.327656i | −0.00769642 | + | 0.0168528i | ||||
\(379\) | 15.4656 | − | 4.54111i | 0.794414 | − | 0.233261i | 0.140749 | − | 0.990045i | \(-0.455049\pi\) |
0.653665 | + | 0.756784i | \(0.273231\pi\) | |||||||
\(380\) | 10.7642 | − | 3.16065i | 0.552191 | − | 0.162138i | ||||
\(381\) | −0.488751 | + | 1.07021i | −0.0250394 | + | 0.0548287i | ||||
\(382\) | −0.351397 | − | 2.44402i | −0.0179790 | − | 0.125047i | ||||
\(383\) | −3.22257 | − | 3.71904i | −0.164665 | − | 0.190034i | 0.667420 | − | 0.744681i | \(-0.267399\pi\) |
−0.832085 | + | 0.554647i | \(0.812853\pi\) | |||||||
\(384\) | −4.04164 | − | 8.84995i | −0.206249 | − | 0.451622i | ||||
\(385\) | 17.1967 | − | 11.0517i | 0.876426 | − | 0.563245i | ||||
\(386\) | −1.39918 | + | 9.73148i | −0.0712162 | + | 0.495319i | ||||
\(387\) | −2.05655 | − | 1.32166i | −0.104540 | − | 0.0671839i | ||||
\(388\) | 6.83177 | − | 7.88429i | 0.346831 | − | 0.400264i | ||||
\(389\) | −7.15671 | − | 2.10140i | −0.362859 | − | 0.106545i | 0.0952204 | − | 0.995456i | \(-0.469644\pi\) |
−0.458080 | + | 0.888911i | \(0.651463\pi\) | |||||||
\(390\) | 5.10835 | 0.258672 | ||||||||
\(391\) | 29.8647 | + | 11.3200i | 1.51032 | + | 0.572478i | ||||
\(392\) | 1.39409 | 0.0704123 | ||||||||
\(393\) | 3.86788 | + | 1.13571i | 0.195109 | + | 0.0572890i | ||||
\(394\) | −4.52413 | + | 5.22112i | −0.227922 | + | 0.263036i | ||||
\(395\) | −22.1165 | − | 14.2134i | −1.11280 | − | 0.715153i | ||||
\(396\) | −1.62752 | + | 11.3196i | −0.0817859 | + | 0.568833i | ||||
\(397\) | −12.8893 | + | 8.28342i | −0.646893 | + | 0.415733i | −0.822530 | − | 0.568722i | \(-0.807438\pi\) |
0.175636 | + | 0.984455i | \(0.443802\pi\) | |||||||
\(398\) | 0.289246 | + | 0.633360i | 0.0144986 | + | 0.0317474i | ||||
\(399\) | −1.17502 | − | 1.35605i | −0.0588246 | − | 0.0678872i | ||||
\(400\) | −2.84628 | − | 19.7963i | −0.142314 | − | 0.989816i | ||||
\(401\) | 2.85859 | − | 6.25944i | 0.142751 | − | 0.312581i | −0.824729 | − | 0.565528i | \(-0.808672\pi\) |
0.967480 | + | 0.252947i | \(0.0813997\pi\) | |||||||
\(402\) | −3.23750 | + | 0.950615i | −0.161472 | + | 0.0474124i | ||||
\(403\) | −13.9185 | + | 4.08685i | −0.693331 | + | 0.203580i | ||||
\(404\) | −9.51793 | + | 20.8414i | −0.473535 | + | 1.03690i | ||||
\(405\) | −0.475765 | − | 3.30902i | −0.0236410 | − | 0.164427i | ||||
\(406\) | 1.13118 | + | 1.30546i | 0.0561397 | + | 0.0647887i | ||||
\(407\) | 18.0036 | + | 39.4225i | 0.892407 | + | 1.95410i | ||||
\(408\) | −7.81024 | + | 5.01934i | −0.386664 | + | 0.248494i | ||||
\(409\) | 3.04619 | − | 21.1867i | 0.150624 | − | 1.04762i | −0.764552 | − | 0.644562i | \(-0.777040\pi\) |
0.915176 | − | 0.403053i | \(-0.132051\pi\) | |||||||
\(410\) | 8.10552 | + | 5.20910i | 0.400303 | + | 0.257259i | ||||
\(411\) | 3.33569 | − | 3.84959i | 0.164537 | − | 0.189886i | ||||
\(412\) | 11.3782 | + | 3.34093i | 0.560562 | + | 0.164596i | ||||
\(413\) | 2.65126 | 0.130460 | ||||||||
\(414\) | 1.52056 | − | 0.819835i | 0.0747315 | − | 0.0402927i | ||||
\(415\) | −5.33029 | −0.261654 | ||||||||
\(416\) | 16.0967 | + | 4.72641i | 0.789205 | + | 0.231731i | ||||
\(417\) | −13.1693 | + | 15.1981i | −0.644902 | + | 0.744257i | ||||
\(418\) | 3.32470 | + | 2.13665i | 0.162616 | + | 0.104507i | ||||
\(419\) | −4.05779 | + | 28.2225i | −0.198236 | + | 1.37876i | 0.611165 | + | 0.791503i | \(0.290701\pi\) |
−0.809401 | + | 0.587257i | \(0.800208\pi\) | |||||||
\(420\) | −5.25980 | + | 3.38027i | −0.256652 | + | 0.164940i | ||||
\(421\) | −3.89639 | − | 8.53191i | −0.189899 | − | 0.415820i | 0.790604 | − | 0.612328i | \(-0.209767\pi\) |
−0.980502 | + | 0.196508i | \(0.937040\pi\) | |||||||
\(422\) | 1.23977 | + | 1.43078i | 0.0603513 | + | 0.0696491i | ||||
\(423\) | 1.75909 | + | 12.2347i | 0.0855296 | + | 0.594872i | ||||
\(424\) | −3.22299 | + | 7.05736i | −0.156522 | + | 0.342736i | ||||
\(425\) | −39.4633 | + | 11.5875i | −1.91425 | + | 0.562074i | ||||
\(426\) | 4.47148 | − | 1.31295i | 0.216644 | − | 0.0636124i | ||||
\(427\) | −2.28133 | + | 4.99541i | −0.110401 | + | 0.241745i | ||||
\(428\) | −4.41243 | − | 30.6892i | −0.213283 | − | 1.48342i | ||||
\(429\) | −16.9867 | − | 19.6038i | −0.820128 | − | 0.946478i | ||||
\(430\) | 1.22290 | + | 2.67777i | 0.0589733 | + | 0.129133i | ||||
\(431\) | −1.03163 | + | 0.662989i | −0.0496919 | + | 0.0319351i | −0.565251 | − | 0.824919i | \(-0.691221\pi\) |
0.515559 | + | 0.856854i | \(0.327584\pi\) | |||||||
\(432\) | 0.460864 | − | 3.20538i | 0.0221733 | − | 0.154219i | ||||
\(433\) | −33.7798 | − | 21.7089i | −1.62335 | − | 1.04326i | −0.953775 | − | 0.300521i | \(-0.902839\pi\) |
−0.669576 | − | 0.742744i | \(-0.733524\pi\) | |||||||
\(434\) | −0.806617 | + | 0.930886i | −0.0387189 | + | 0.0446840i | ||||
\(435\) | −15.3821 | − | 4.51660i | −0.737516 | − | 0.216554i | ||||
\(436\) | 2.01240 | 0.0963764 | ||||||||
\(437\) | 0.568287 | + | 8.58641i | 0.0271849 | + | 0.410744i | ||||
\(438\) | 6.08695 | 0.290846 | ||||||||
\(439\) | −2.54729 | − | 0.747952i | −0.121576 | − | 0.0356978i | 0.220379 | − | 0.975414i | \(-0.429271\pi\) |
−0.341954 | + | 0.939717i | \(0.611089\pi\) | |||||||
\(440\) | 18.6620 | − | 21.5372i | 0.889678 | − | 1.02674i | ||||
\(441\) | 0.841254 | + | 0.540641i | 0.0400597 | + | 0.0257448i | ||||
\(442\) | 1.44822 | − | 10.0726i | 0.0688847 | − | 0.479104i | ||||
\(443\) | −8.14637 | + | 5.23535i | −0.387046 | + | 0.248739i | −0.719664 | − | 0.694322i | \(-0.755704\pi\) |
0.332619 | + | 0.943061i | \(0.392068\pi\) | |||||||
\(444\) | −5.50661 | − | 12.0578i | −0.261332 | − | 0.572238i | ||||
\(445\) | 14.0924 | + | 16.2635i | 0.668045 | + | 0.770965i | ||||
\(446\) | −0.828685 | − | 5.76363i | −0.0392394 | − | 0.272916i | ||||
\(447\) | 2.82098 | − | 6.17709i | 0.133428 | − | 0.292166i | ||||
\(448\) | −4.84753 | + | 1.42336i | −0.229024 | + | 0.0672476i | ||||
\(449\) | 25.5177 | − | 7.49268i | 1.20426 | − | 0.353601i | 0.382777 | − | 0.923841i | \(-0.374968\pi\) |
0.821478 | + | 0.570240i | \(0.193150\pi\) | |||||||
\(450\) | −0.924146 | + | 2.02360i | −0.0435647 | + | 0.0953933i | ||||
\(451\) | −6.96281 | − | 48.4274i | −0.327866 | − | 2.28036i | ||||
\(452\) | 10.7868 | + | 12.4486i | 0.507366 | + | 0.585532i | ||||
\(453\) | 3.39627 | + | 7.43679i | 0.159571 | + | 0.349411i | ||||
\(454\) | 0.459719 | − | 0.295444i | 0.0215757 | − | 0.0138659i | ||||
\(455\) | 2.01827 | − | 14.0373i | 0.0946178 | − | 0.658081i | ||||
\(456\) | −2.10434 | − | 1.35238i | −0.0985446 | − | 0.0633308i | ||||
\(457\) | 0.256252 | − | 0.295731i | 0.0119870 | − | 0.0138337i | −0.749724 | − | 0.661750i | \(-0.769814\pi\) |
0.761711 | + | 0.647916i | \(0.224359\pi\) | |||||||
\(458\) | −2.46718 | − | 0.724431i | −0.115284 | − | 0.0338504i | ||||
\(459\) | −6.65956 | −0.310842 | ||||||||
\(460\) | 29.8970 | + | 2.29795i | 1.39395 | + | 0.107143i | ||||
\(461\) | −2.01541 | −0.0938672 | −0.0469336 | − | 0.998898i | \(-0.514945\pi\) | ||||
−0.0469336 | + | 0.998898i | \(0.514945\pi\) | |||||||
\(462\) | −2.11334 | − | 0.620534i | −0.0983217 | − | 0.0288699i | ||||
\(463\) | −18.8347 | + | 21.7364i | −0.875324 | + | 1.01018i | 0.124515 | + | 0.992218i | \(0.460262\pi\) |
−0.999839 | + | 0.0179596i | \(0.994283\pi\) | |||||||
\(464\) | −13.0641 | − | 8.39581i | −0.606487 | − | 0.389766i | ||||
\(465\) | 1.62689 | − | 11.3153i | 0.0754453 | − | 0.524734i | ||||
\(466\) | −1.16304 | + | 0.747441i | −0.0538769 | + | 0.0346246i | ||||
\(467\) | −13.3404 | − | 29.2114i | −0.617320 | − | 1.35174i | −0.917453 | − | 0.397845i | \(-0.869758\pi\) |
0.300132 | − | 0.953898i | \(-0.402969\pi\) | |||||||
\(468\) | 5.19558 | + | 5.99602i | 0.240166 | + | 0.277166i | ||||
\(469\) | 1.33311 | + | 9.27196i | 0.0615572 | + | 0.428139i | ||||
\(470\) | 6.18321 | − | 13.5394i | 0.285210 | − | 0.624524i | ||||
\(471\) | −8.13620 | + | 2.38900i | −0.374896 | + | 0.110079i | ||||
\(472\) | 3.54639 | − | 1.04131i | 0.163236 | − | 0.0479303i | ||||
\(473\) | 6.20969 | − | 13.5973i | 0.285522 | − | 0.625206i | ||||
\(474\) | 0.403134 | + | 2.80386i | 0.0185165 | + | 0.128785i | ||||
\(475\) | −7.25690 | − | 8.37491i | −0.332969 | − | 0.384267i | ||||
\(476\) | 5.17401 | + | 11.3295i | 0.237151 | + | 0.519287i | ||||
\(477\) | −4.68178 | + | 3.00880i | −0.214364 | + | 0.137763i | ||||
\(478\) | 0.964222 | − | 6.70631i | 0.0441025 | − | 0.306739i | ||||
\(479\) | 13.3744 | + | 8.59517i | 0.611090 | + | 0.392724i | 0.809266 | − | 0.587443i | \(-0.199865\pi\) |
−0.198176 | + | 0.980166i | \(0.563502\pi\) | |||||||
\(480\) | −8.65767 | + | 9.99148i | −0.395167 | + | 0.456047i | ||||
\(481\) | 28.8489 | + | 8.47081i | 1.31540 | + | 0.386236i | ||||
\(482\) | 0.289275 | 0.0131761 | ||||||||
\(483\) | −1.65208 | − | 4.50229i | −0.0751722 | − | 0.204861i | ||||
\(484\) | −49.3553 | −2.24342 | ||||||||
\(485\) | −17.8924 | − | 5.25369i | −0.812453 | − | 0.238558i | ||||
\(486\) | −0.235886 | + | 0.272227i | −0.0107000 | + | 0.0123485i | ||||
\(487\) | −10.7710 | − | 6.92210i | −0.488081 | − | 0.313670i | 0.273352 | − | 0.961914i | \(-0.411868\pi\) |
−0.761433 | + | 0.648244i | \(0.775504\pi\) | |||||||
\(488\) | −1.08955 | + | 7.57798i | −0.0493216 | + | 0.343039i | ||||
\(489\) | −16.4471 | + | 10.5699i | −0.743762 | + | 0.477987i | ||||
\(490\) | −0.500239 | − | 1.09537i | −0.0225985 | − | 0.0494838i | ||||
\(491\) | 21.1410 | + | 24.3980i | 0.954081 | + | 1.10107i | 0.994795 | + | 0.101897i | \(0.0324913\pi\) |
−0.0407139 | + | 0.999171i | \(0.512963\pi\) | |||||||
\(492\) | 2.12965 | + | 14.8120i | 0.0960121 | + | 0.667779i | ||||
\(493\) | −13.2666 | + | 29.0498i | −0.597497 | + | 1.30834i | ||||
\(494\) | 2.63073 | − | 0.772453i | 0.118362 | − | 0.0347543i | ||||
\(495\) | 19.6137 | − | 5.75911i | 0.881572 | − | 0.258853i | ||||
\(496\) | 4.60013 | − | 10.0729i | 0.206552 | − | 0.452286i | ||||
\(497\) | −1.84123 | − | 12.8060i | −0.0825903 | − | 0.574428i | ||||
\(498\) | 0.376106 | + | 0.434049i | 0.0168537 | + | 0.0194502i | ||||
\(499\) | −1.15065 | − | 2.51958i | −0.0515104 | − | 0.112792i | 0.882127 | − | 0.471012i | \(-0.156111\pi\) |
−0.933637 | + | 0.358220i | \(0.883384\pi\) | |||||||
\(500\) | −6.18540 | + | 3.97511i | −0.276619 | + | 0.177773i | ||||
\(501\) | −0.531646 | + | 3.69768i | −0.0237522 | + | 0.165200i | ||||
\(502\) | 0.103142 | + | 0.0662851i | 0.00460344 | + | 0.00295845i | ||||
\(503\) | 12.0836 | − | 13.9452i | 0.538781 | − | 0.621786i | −0.419451 | − | 0.907778i | \(-0.637778\pi\) |
0.958232 | + | 0.285992i | \(0.0923230\pi\) | |||||||
\(504\) | 1.33762 | + | 0.392761i | 0.0595824 | + | 0.0174950i | ||||
\(505\) | 40.9547 | 1.82246 | ||||||||
\(506\) | 6.28524 | + | 8.48972i | 0.279413 | + | 0.377414i | ||||
\(507\) | −4.99579 | −0.221871 | ||||||||
\(508\) | 2.11128 | + | 0.619929i | 0.0936731 | + | 0.0275049i | ||||
\(509\) | 17.4357 | − | 20.1219i | 0.772824 | − | 0.891886i | −0.223746 | − | 0.974648i | \(-0.571828\pi\) |
0.996569 | + | 0.0827614i | \(0.0263739\pi\) | |||||||
\(510\) | 6.74634 | + | 4.33561i | 0.298733 | + | 0.191984i | ||||
\(511\) | 2.40490 | − | 16.7265i | 0.106387 | − | 0.739935i | ||||
\(512\) | −18.3693 | + | 11.8052i | −0.811816 | + | 0.521722i | ||||
\(513\) | −0.745382 | − | 1.63216i | −0.0329094 | − | 0.0720616i | ||||
\(514\) | −2.75196 | − | 3.17593i | −0.121384 | − | 0.140084i | ||||
\(515\) | −3.01664 | − | 20.9812i | −0.132929 | − | 0.924542i | ||||
\(516\) | −1.89930 | + | 4.15889i | −0.0836121 | + | 0.183085i | ||||
\(517\) | −72.5194 | + | 21.2936i | −3.18940 | + | 0.936492i | ||||
\(518\) | 2.44961 | − | 0.719270i | 0.107630 | − | 0.0316029i | ||||
\(519\) | 4.59586 | − | 10.0635i | 0.201736 | − | 0.441740i | ||||
\(520\) | −2.81365 | − | 19.5694i | −0.123387 | − | 0.858174i | ||||
\(521\) | 24.0342 | + | 27.7369i | 1.05296 | + | 1.21518i | 0.975916 | + | 0.218148i | \(0.0700017\pi\) |
0.0770407 | + | 0.997028i | \(0.475453\pi\) | |||||||
\(522\) | 0.717573 | + | 1.57127i | 0.0314073 | + | 0.0687725i | ||||
\(523\) | −17.2444 | + | 11.0823i | −0.754046 | + | 0.484596i | −0.860329 | − | 0.509740i | \(-0.829742\pi\) |
0.106282 | + | 0.994336i | \(0.466105\pi\) | |||||||
\(524\) | 1.07295 | − | 7.46255i | 0.0468722 | − | 0.326003i | ||||
\(525\) | 5.19556 | + | 3.33898i | 0.226753 | + | 0.145725i | ||||
\(526\) | −0.235538 | + | 0.271825i | −0.0102699 | + | 0.0118521i | ||||
\(527\) | −21.8501 | − | 6.41577i | −0.951805 | − | 0.279475i | ||||
\(528\) | 19.8015 | 0.861750 | ||||||||
\(529\) | −6.71392 | + | 21.9983i | −0.291910 | + | 0.956446i | ||||
\(530\) | 6.70162 | 0.291100 | ||||||||
\(531\) | 2.54387 | + | 0.746947i | 0.110394 | + | 0.0324147i | ||||
\(532\) | −2.19758 | + | 2.53615i | −0.0952773 | + | 0.109956i | ||||
\(533\) | −28.5543 | − | 18.3507i | −1.23682 | − | 0.794857i | ||||
\(534\) | 0.329987 | − | 2.29511i | 0.0142799 | − | 0.0993192i | ||||
\(535\) | −46.6227 | + | 29.9626i | −2.01568 | + | 1.29540i | ||||
\(536\) | 5.42486 | + | 11.8788i | 0.234318 | + | 0.513086i | ||||
\(537\) | 11.5397 | + | 13.3176i | 0.497977 | + | 0.574696i | ||||
\(538\) | 0.889778 | + | 6.18854i | 0.0383611 | + | 0.266807i | ||||
\(539\) | −2.54014 | + | 5.56214i | −0.109412 | + | 0.239578i | ||||
\(540\) | −5.99908 | + | 1.76149i | −0.258159 | + | 0.0758023i | ||||
\(541\) | 24.2729 | − | 7.12717i | 1.04357 | − | 0.306421i | 0.285356 | − | 0.958422i | \(-0.407888\pi\) |
0.758219 | + | 0.652000i | \(0.226070\pi\) | |||||||
\(542\) | −1.20532 | + | 2.63929i | −0.0517730 | + | 0.113367i | ||||
\(543\) | 2.31188 | + | 16.0795i | 0.0992121 | + | 0.690035i | ||||
\(544\) | 17.2466 | + | 19.9036i | 0.739442 | + | 0.853362i | ||||
\(545\) | −1.49430 | − | 3.27207i | −0.0640089 | − | 0.140160i | ||||
\(546\) | −1.28548 | + | 0.826127i | −0.0550134 | + | 0.0353550i | ||||
\(547\) | −2.96242 | + | 20.6041i | −0.126664 | + | 0.880967i | 0.823077 | + | 0.567930i | \(0.192256\pi\) |
−0.949741 | + | 0.313037i | \(0.898653\pi\) | |||||||
\(548\) | −8.01426 | − | 5.15045i | −0.342352 | − | 0.220016i | ||||
\(549\) | −3.59628 | + | 4.15033i | −0.153486 | + | 0.177132i | ||||
\(550\) | −13.0520 | − | 3.83240i | −0.556538 | − | 0.163414i | ||||
\(551\) | −8.60455 | −0.366566 | ||||||||
\(552\) | −3.97819 | − | 5.37349i | −0.169323 | − | 0.228711i | ||||
\(553\) | 7.86405 | 0.334413 | ||||||||
\(554\) | −0.683252 | − | 0.200621i | −0.0290286 | − | 0.00852357i | ||||
\(555\) | −15.5165 | + | 17.9070i | −0.658639 | + | 0.760110i | ||||
\(556\) | 31.6402 | + | 20.3339i | 1.34184 | + | 0.862351i | ||||
\(557\) | 1.94506 | − | 13.5282i | 0.0824148 | − | 0.573208i | −0.906213 | − | 0.422822i | \(-0.861039\pi\) |
0.988627 | − | 0.150385i | \(-0.0480514\pi\) | |||||||
\(558\) | −1.03620 | + | 0.665928i | −0.0438660 | + | 0.0281910i | ||||
\(559\) | −4.30804 | − | 9.43329i | −0.182211 | − | 0.398986i | ||||
\(560\) | 7.08947 | + | 8.18169i | 0.299585 | + | 0.345739i | ||||
\(561\) | −5.79524 | − | 40.3068i | −0.244675 | − | 1.70175i | ||||
\(562\) | −1.29543 | + | 2.83660i | −0.0546445 | + | 0.119655i | ||||
\(563\) | −15.2017 | + | 4.46361i | −0.640674 | + | 0.188119i | −0.585904 | − | 0.810380i | \(-0.699261\pi\) |
−0.0547695 | + | 0.998499i | \(0.517442\pi\) | |||||||
\(564\) | 22.1809 | − | 6.51289i | 0.933982 | − | 0.274242i | ||||
\(565\) | 12.2311 | − | 26.7825i | 0.514568 | − | 1.12675i | ||||
\(566\) | −0.507163 | − | 3.52740i | −0.0213177 | − | 0.148268i | ||||
\(567\) | 0.654861 | + | 0.755750i | 0.0275016 | + | 0.0317385i | ||||
\(568\) | −7.49257 | − | 16.4064i | −0.314381 | − | 0.688399i | ||||
\(569\) | 17.7116 | − | 11.3826i | 0.742510 | − | 0.477182i | −0.113891 | − | 0.993493i | \(-0.536332\pi\) |
0.856401 | + | 0.516311i | \(0.172695\pi\) | |||||||
\(570\) | −0.307498 | + | 2.13870i | −0.0128797 | + | 0.0895801i | ||||
\(571\) | 19.7865 | + | 12.7160i | 0.828038 | + | 0.532147i | 0.884654 | − | 0.466249i | \(-0.154395\pi\) |
−0.0566162 | + | 0.998396i | \(0.518031\pi\) | |||||||
\(572\) | −31.7695 | + | 36.6639i | −1.32835 | + | 1.53300i | ||||
\(573\) | −6.57713 | − | 1.93122i | −0.274763 | − | 0.0806778i | ||||
\(574\) | −2.88211 | −0.120297 | ||||||||
\(575\) | −10.2032 | − | 27.8060i | −0.425503 | − | 1.15959i | ||||
\(576\) | −5.05218 | −0.210507 | ||||||||
\(577\) | 7.69959 | + | 2.26080i | 0.320538 | + | 0.0941184i | 0.438043 | − | 0.898954i | \(-0.355672\pi\) |
−0.117506 | + | 0.993072i | \(0.537490\pi\) | |||||||
\(578\) | 6.45142 | − | 7.44533i | 0.268344 | − | 0.309685i | ||||
\(579\) | 22.9613 | + | 14.7563i | 0.954238 | + | 0.613252i | ||||
\(580\) | −4.26701 | + | 29.6777i | −0.177178 | + | 1.23230i | ||||
\(581\) | 1.34133 | − | 0.862019i | 0.0556477 | − | 0.0357626i | ||||
\(582\) | 0.834679 | + | 1.82769i | 0.0345986 | + | 0.0757603i | ||||
\(583\) | −22.2848 | − | 25.7181i | −0.922943 | − | 1.06513i | ||||
\(584\) | −3.35266 | − | 23.3182i | −0.138734 | − | 0.964915i | ||||
\(585\) | 5.89129 | − | 12.9001i | 0.243575 | − | 0.533355i | ||||
\(586\) | 0.901893 | − | 0.264820i | 0.0372569 | − | 0.0109396i | ||||
\(587\) | 10.6071 | − | 3.11454i | 0.437804 | − | 0.128551i | −0.0554008 | − | 0.998464i | \(-0.517644\pi\) |
0.493204 | + | 0.869913i | \(0.335825\pi\) | |||||||
\(588\) | 0.776930 | − | 1.70124i | 0.0320401 | − | 0.0701579i | ||||
\(589\) | −0.873198 | − | 6.07323i | −0.0359795 | − | 0.250243i | ||||
\(590\) | −2.09072 | − | 2.41283i | −0.0860738 | − | 0.0993344i | ||||
\(591\) | 7.96737 | + | 17.4461i | 0.327734 | + | 0.717637i | ||||
\(592\) | −19.3086 | + | 12.4089i | −0.793580 | + | 0.510003i | ||||
\(593\) | 5.48590 | − | 38.1553i | 0.225279 | − | 1.56685i | −0.492334 | − | 0.870406i | \(-0.663856\pi\) |
0.717613 | − | 0.696442i | \(-0.245235\pi\) | |||||||
\(594\) | −1.85291 | − | 1.19080i | −0.0760260 | − | 0.0488590i | ||||
\(595\) | 14.5793 | − | 16.8254i | 0.597694 | − | 0.689775i | ||||
\(596\) | −12.1860 | − | 3.57812i | −0.499157 | − | 0.146566i | ||||
\(597\) | 1.93300 | 0.0791124 | ||||||||
\(598\) | 7.30673 | + | 0.561613i | 0.298794 | + | 0.0229660i | ||||
\(599\) | −13.4137 | −0.548069 | −0.274034 | − | 0.961720i | \(-0.588358\pi\) | ||||
−0.274034 | + | 0.961720i | \(0.588358\pi\) | |||||||
\(600\) | 8.26112 | + | 2.42569i | 0.337259 | + | 0.0990282i | ||||
\(601\) | −15.6847 | + | 18.1012i | −0.639794 | + | 0.738362i | −0.979338 | − | 0.202228i | \(-0.935182\pi\) |
0.339544 | + | 0.940590i | \(0.389727\pi\) | |||||||
\(602\) | −0.740784 | − | 0.476073i | −0.0301921 | − | 0.0194033i | ||||
\(603\) | −1.33311 | + | 9.27196i | −0.0542883 | + | 0.377584i | ||||
\(604\) | 12.8631 | − | 8.26663i | 0.523393 | − | 0.336364i | ||||
\(605\) | 36.6487 | + | 80.2495i | 1.48998 | + | 3.26261i | ||||
\(606\) | −2.88976 | − | 3.33496i | −0.117389 | − | 0.135474i | ||||
\(607\) | −5.47511 | − | 38.0802i | −0.222228 | − | 1.54563i | −0.729584 | − | 0.683892i | \(-0.760286\pi\) |
0.507356 | − | 0.861737i | \(-0.330623\pi\) | |||||||
\(608\) | −2.94773 | + | 6.45463i | −0.119546 | + | 0.261770i | ||||
\(609\) | 4.60122 | − | 1.35104i | 0.186451 | − | 0.0547469i | ||||
\(610\) | 6.34516 | − | 1.86311i | 0.256908 | − | 0.0754349i | ||||
\(611\) | −21.7823 | + | 47.6967i | −0.881219 | + | 1.92960i | ||||
\(612\) | 1.77254 | + | 12.3283i | 0.0716506 | + | 0.498341i | ||||
\(613\) | 21.3027 | + | 24.5846i | 0.860408 | + | 0.992963i | 0.999996 | + | 0.00275382i | \(0.000876568\pi\) |
−0.139589 | + | 0.990210i | \(0.544578\pi\) | |||||||
\(614\) | −1.88041 | − | 4.11752i | −0.0758871 | − | 0.166170i | ||||
\(615\) | 22.5024 | − | 14.4614i | 0.907383 | − | 0.583139i | ||||
\(616\) | −1.21316 | + | 8.43771i | −0.0488796 | + | 0.339965i | ||||
\(617\) | 7.73957 | + | 4.97392i | 0.311583 | + | 0.200243i | 0.687081 | − | 0.726581i | \(-0.258892\pi\) |
−0.375497 | + | 0.926823i | \(0.622528\pi\) | |||||||
\(618\) | −1.49566 | + | 1.72608i | −0.0601642 | + | 0.0694332i | ||||
\(619\) | 0.247347 | + | 0.0726277i | 0.00994173 | + | 0.00291916i | 0.286700 | − | 0.958021i | \(-0.407442\pi\) |
−0.276758 | + | 0.960940i | \(0.589260\pi\) | |||||||
\(620\) | −21.3800 | −0.858643 | ||||||||
\(621\) | −0.316717 | − | 4.78536i | −0.0127094 | − | 0.192030i | ||||
\(622\) | 1.89890 | 0.0761391 | ||||||||
\(623\) | −6.17641 | − | 1.81356i | −0.247453 | − | 0.0726586i | ||||
\(624\) | 8.99615 | − | 10.3821i | 0.360134 | − | 0.415617i | ||||
\(625\) | −14.9215 | − | 9.58946i | −0.596859 | − | 0.383578i | ||||
\(626\) | −0.695208 | + | 4.83528i | −0.0277861 | + | 0.193256i | ||||
\(627\) | 9.22995 | − | 5.93173i | 0.368609 | − | 0.236890i | ||||
\(628\) | 6.58812 | + | 14.4260i | 0.262895 | + | 0.575659i | ||||
\(629\) | 30.9098 | + | 35.6719i | 1.23246 | + | 1.42233i | ||||
\(630\) | −0.171374 | − | 1.19193i | −0.00682771 | − | 0.0474878i | ||||
\(631\) | 19.4991 | − | 42.6971i | 0.776247 | − | 1.69974i | 0.0638571 | − | 0.997959i | \(-0.479660\pi\) |
0.712390 | − | 0.701784i | \(-0.247613\pi\) | |||||||
\(632\) | 10.5191 | − | 3.08869i | 0.418428 | − | 0.122862i | ||||
\(633\) | 5.04293 | − | 1.48074i | 0.200438 | − | 0.0588540i | ||||
\(634\) | −1.42241 | + | 3.11464i | −0.0564910 | + | 0.123698i | ||||
\(635\) | −0.559755 | − | 3.89318i | −0.0222132 | − | 0.154496i | ||||
\(636\) | 6.81606 | + | 7.86615i | 0.270274 | + | 0.311913i | ||||
\(637\) | 1.76225 | + | 3.85879i | 0.0698229 | + | 0.152891i | ||||
\(638\) | −8.88560 | + | 5.71043i | −0.351784 | + | 0.226078i | ||||
\(639\) | 1.84123 | − | 12.8060i | 0.0728378 | − | 0.506598i | ||||
\(640\) | 27.3618 | + | 17.5844i | 1.08157 | + | 0.695083i | ||||
\(641\) | 0.209233 | − | 0.241468i | 0.00826422 | − | 0.00953742i | −0.751602 | − | 0.659616i | \(-0.770719\pi\) |
0.759867 | + | 0.650079i | \(0.225264\pi\) | |||||||
\(642\) | 5.72958 | + | 1.68236i | 0.226128 | + | 0.0663973i | ||||
\(643\) | −14.2875 | −0.563444 | −0.281722 | − | 0.959496i | \(-0.590906\pi\) | ||||
−0.281722 | + | 0.959496i | \(0.590906\pi\) | |||||||
\(644\) | −7.89498 | + | 4.25670i | −0.311106 | + | 0.167738i | ||||
\(645\) | 8.17249 | 0.321792 | ||||||||
\(646\) | 4.12987 | + | 1.21264i | 0.162488 | + | 0.0477107i | ||||
\(647\) | 7.10482 | − | 8.19940i | 0.279319 | − | 0.322352i | −0.598703 | − | 0.800971i | \(-0.704317\pi\) |
0.878023 | + | 0.478619i | \(0.158863\pi\) | |||||||
\(648\) | 1.17279 | + | 0.753704i | 0.0460714 | + | 0.0296083i | ||||
\(649\) | −2.30716 | + | 16.0467i | −0.0905641 | + | 0.629887i | ||||
\(650\) | −7.93909 | + | 5.10214i | −0.311397 | + | 0.200123i | ||||
\(651\) | 1.42052 | + | 3.11051i | 0.0556747 | + | 0.121911i | ||||
\(652\) | 23.9447 | + | 27.6337i | 0.937749 | + | 1.08222i | ||||
\(653\) | 1.79226 | + | 12.4655i | 0.0701366 | + | 0.487811i | 0.994368 | + | 0.105979i | \(0.0337976\pi\) |
−0.924232 | + | 0.381832i | \(0.875293\pi\) | |||||||
\(654\) | −0.161009 | + | 0.352560i | −0.00629593 | + | 0.0137862i | ||||
\(655\) | −12.9305 | + | 3.79674i | −0.505236 | + | 0.148351i | ||||
\(656\) | 24.8612 | − | 7.29991i | 0.970668 | − | 0.285014i | ||||
\(657\) | 7.01987 | − | 15.3714i | 0.273871 | − | 0.599694i | ||||
\(658\) | 0.633636 | + | 4.40703i | 0.0247017 | + | 0.171804i | ||||
\(659\) | −21.8676 | − | 25.2365i | −0.851839 | − | 0.983075i | 0.148144 | − | 0.988966i | \(-0.452670\pi\) |
−0.999983 | + | 0.00589123i | \(0.998125\pi\) | |||||||
\(660\) | −15.8818 | − | 34.7764i | −0.618199 | − | 1.35367i | ||||
\(661\) | 22.9217 | − | 14.7309i | 0.891551 | − | 0.572965i | −0.0127226 | − | 0.999919i | \(-0.504050\pi\) |
0.904273 | + | 0.426954i | \(0.140413\pi\) | |||||||
\(662\) | −0.199320 | + | 1.38630i | −0.00774678 | + | 0.0538800i | ||||
\(663\) | −23.7661 | − | 15.2735i | −0.922999 | − | 0.593175i | ||||
\(664\) | 1.45562 | − | 1.67988i | 0.0564891 | − | 0.0651919i | ||||
\(665\) | 5.75547 | + | 1.68996i | 0.223188 | + | 0.0655338i | ||||
\(666\) | 2.55302 | 0.0989277 | ||||||||
\(667\) | −21.5052 | − | 8.15142i | −0.832686 | − | 0.315624i | ||||
\(668\) | 6.98671 | 0.270324 | ||||||||
\(669\) | −15.5106 | − | 4.55432i | −0.599674 | − | 0.176080i | ||||
\(670\) | 7.38685 | − | 8.52488i | 0.285379 | − | 0.329345i | ||||
\(671\) | −28.2493 | − | 18.1547i | −1.09055 | − | 0.700855i | ||||
\(672\) | 0.562807 | − | 3.91441i | 0.0217107 | − | 0.151002i | ||||
\(673\) | −2.19003 | + | 1.40745i | −0.0844194 | + | 0.0542530i | −0.582170 | − | 0.813067i | \(-0.697796\pi\) |
0.497750 | + | 0.867320i | \(0.334160\pi\) | |||||||
\(674\) | −3.66370 | − | 8.02239i | −0.141121 | − | 0.309011i | ||||
\(675\) | 4.04440 | + | 4.66749i | 0.155669 | + | 0.179652i | ||||
\(676\) | 1.32970 | + | 9.24828i | 0.0511424 | + | 0.355703i | ||||
\(677\) | 9.46200 | − | 20.7189i | 0.363654 | − | 0.796292i | −0.636042 | − | 0.771654i | \(-0.719430\pi\) |
0.999696 | − | 0.0246375i | \(-0.00784316\pi\) | |||||||
\(678\) | −3.04394 | + | 0.893782i | −0.116902 | + | 0.0343255i | ||||
\(679\) | 5.35213 | − | 1.57153i | 0.205396 | − | 0.0603096i | ||||
\(680\) | 12.8932 | − | 28.2323i | 0.494433 | − | 1.08266i | ||||
\(681\) | −0.215905 | − | 1.50165i | −0.00827351 | − | 0.0575435i | ||||
\(682\) | −4.93223 | − | 5.69210i | −0.188865 | − | 0.217962i | ||||
\(683\) | 6.16798 | + | 13.5060i | 0.236011 | + | 0.516792i | 0.990165 | − | 0.139906i | \(-0.0446800\pi\) |
−0.754154 | + | 0.656698i | \(0.771953\pi\) | |||||||
\(684\) | −2.82308 | + | 1.81428i | −0.107943 | + | 0.0693709i | ||||
\(685\) | −2.42342 | + | 16.8553i | −0.0925943 | + | 0.644008i | ||||
\(686\) | 0.303026 | + | 0.194743i | 0.0115696 | + | 0.00743532i | ||||
\(687\) | −4.67473 | + | 5.39492i | −0.178352 | + | 0.205829i | ||||
\(688\) | 7.59584 | + | 2.23034i | 0.289589 | + | 0.0850309i | ||||
\(689\) | −23.6086 | −0.899416 | ||||||||
\(690\) | −2.79459 | + | 5.05391i | −0.106388 | + | 0.192399i | ||||
\(691\) | −4.01920 | −0.152898 | −0.0764488 | − | 0.997074i | \(-0.524358\pi\) | ||||
−0.0764488 | + | 0.997074i | \(0.524358\pi\) | |||||||
\(692\) | −19.8530 | − | 5.82937i | −0.754698 | − | 0.221599i | ||||
\(693\) | −4.00428 | + | 4.62119i | −0.152110 | + | 0.175544i | ||||
\(694\) | −1.87324 | − | 1.20386i | −0.0711072 | − | 0.0456978i | ||||
\(695\) | 9.56766 | − | 66.5445i | 0.362922 | − | 2.52418i | ||||
\(696\) | 5.62406 | − | 3.61437i | 0.213180 | − | 0.137002i | ||||
\(697\) | −22.1353 | − | 48.4696i | −0.838436 | − | 1.83592i | ||||
\(698\) | −2.25612 | − | 2.60370i | −0.0853953 | − | 0.0985514i | ||||
\(699\) | 0.546218 | + | 3.79903i | 0.0206598 | + | 0.143692i | ||||
\(700\) | 4.79830 | − | 10.5068i | 0.181359 | − | 0.397120i | ||||
\(701\) | 23.3805 | − | 6.86512i | 0.883068 | − | 0.259292i | 0.191404 | − | 0.981511i | \(-0.438696\pi\) |
0.691664 | + | 0.722219i | \(0.256878\pi\) | |||||||
\(702\) | −1.46616 | + | 0.430502i | −0.0553365 | + | 0.0162483i | ||||
\(703\) | −5.28301 | + | 11.5682i | −0.199252 | + | 0.436302i | ||||
\(704\) | −4.39648 | − | 30.5782i | −0.165698 | − | 1.15246i | ||||
\(705\) | −27.0600 | − | 31.2289i | −1.01914 | − | 1.17615i | ||||
\(706\) | 4.28774 | + | 9.38884i | 0.161371 | + | 0.353353i | ||||
\(707\) | −10.3059 | + | 6.62322i | −0.387595 | + | 0.249092i | ||||
\(708\) | 0.705671 | − | 4.90805i | 0.0265208 | − | 0.184456i | ||||
\(709\) | 3.93703 | + | 2.53018i | 0.147858 | + | 0.0950227i | 0.612478 | − | 0.790487i | \(-0.290173\pi\) |
−0.464620 | + | 0.885510i | \(0.653809\pi\) | |||||||
\(710\) | −10.2024 | + | 11.7742i | −0.382888 | + | 0.441877i | ||||
\(711\) | 7.54550 | + | 2.21556i | 0.282978 | + | 0.0830899i | ||||
\(712\) | −8.97400 | −0.336315 | ||||||||
\(713\) | 3.57103 | − | 16.0059i | 0.133736 | − | 0.599427i | ||||
\(714\) | −2.39882 | −0.0897737 | ||||||||
\(715\) | 83.2043 | + | 24.4310i | 3.11166 | + | 0.913667i | ||||
\(716\) | 21.5822 | − | 24.9072i | 0.806565 | − | 0.930825i | ||||
\(717\) | −15.8234 | − | 10.1691i | −0.590937 | − | 0.379772i | ||||
\(718\) | −0.115617 | + | 0.804135i | −0.00431479 | + | 0.0300100i | ||||
\(719\) | −20.6219 | + | 13.2529i | −0.769066 | + | 0.494249i | −0.865389 | − | 0.501101i | \(-0.832928\pi\) |
0.0963225 | + | 0.995350i | \(0.469292\pi\) | |||||||
\(720\) | 4.49725 | + | 9.84761i | 0.167603 | + | 0.366999i | ||||
\(721\) | 4.15221 | + | 4.79191i | 0.154636 | + | 0.178460i | ||||
\(722\) | −0.808952 | − | 5.62638i | −0.0301061 | − | 0.209392i | ||||
\(723\) | 0.333610 | − | 0.730505i | 0.0124071 | − | 0.0271678i | ||||
\(724\) | 29.1512 | − | 8.55956i | 1.08339 | − | 0.318113i | ||||
\(725\) | 28.4170 | − | 8.34399i | 1.05538 | − | 0.309888i | ||||
\(726\) | 3.94883 | − | 8.64674i | 0.146555 | − | 0.320911i | ||||
\(727\) | −1.45412 | − | 10.1136i | −0.0539304 | − | 0.375094i | −0.998856 | − | 0.0478103i | \(-0.984776\pi\) |
0.944926 | − | 0.327284i | \(-0.106133\pi\) | |||||||
\(728\) | 3.87281 | + | 4.46946i | 0.143536 | + | 0.165649i | ||||
\(729\) | 0.415415 | + | 0.909632i | 0.0153857 | + | 0.0336901i | ||||
\(730\) | −17.1186 | + | 11.0015i | −0.633589 | + | 0.407183i | ||||
\(731\) | 2.31690 | − | 16.1144i | 0.0856937 | − | 0.596013i | ||||
\(732\) | 8.64036 | + | 5.55282i | 0.319357 | + | 0.205238i | ||||
\(733\) | −7.45595 | + | 8.60463i | −0.275392 | + | 0.317819i | −0.876550 | − | 0.481311i | \(-0.840161\pi\) |
0.601158 | + | 0.799130i | \(0.294706\pi\) | |||||||
\(734\) | −0.804098 | − | 0.236105i | −0.0296798 | − | 0.00871478i | ||||
\(735\) | −3.34305 | −0.123310 | ||||||||
\(736\) | −13.4820 | + | 13.3395i | −0.496951 | + | 0.491700i | ||||
\(737\) | −57.2784 | −2.10988 | ||||||||
\(738\) | −2.76537 | − | 0.811985i | −0.101795 | − | 0.0298896i | ||||
\(739\) | 16.3717 | − | 18.8940i | 0.602243 | − | 0.695026i | −0.369991 | − | 0.929035i | \(-0.620639\pi\) |
0.972234 | + | 0.234010i | \(0.0751848\pi\) | |||||||
\(740\) | 37.2796 | + | 23.9582i | 1.37043 | + | 0.880720i | ||||
\(741\) | 1.08326 | − | 7.53423i | 0.0397945 | − | 0.276777i | ||||
\(742\) | −1.68641 | + | 1.08379i | −0.0619102 | + | 0.0397873i | ||||
\(743\) | −7.31813 | − | 16.0245i | −0.268476 | − | 0.587881i | 0.726592 | − | 0.687069i | \(-0.241103\pi\) |
−0.995069 | + | 0.0991877i | \(0.968376\pi\) | |||||||
\(744\) | 3.12181 | + | 3.60276i | 0.114451 | + | 0.132084i | ||||
\(745\) | 3.23081 | + | 22.4708i | 0.118368 | + | 0.823265i | ||||
\(746\) | 0.309208 | − | 0.677071i | 0.0113209 | − | 0.0247893i | ||||
\(747\) | 1.52985 | − | 0.449206i | 0.0559744 | − | 0.0164356i | ||||
\(748\) | −73.0740 | + | 21.4565i | −2.67185 | + | 0.784526i | ||||
\(749\) | 6.88669 | − | 15.0797i | 0.251634 | − | 0.551002i | ||||
\(750\) | −0.201532 | − | 1.40169i | −0.00735891 | − | 0.0511823i | ||||
\(751\) | 18.3908 | + | 21.2241i | 0.671088 | + | 0.774477i | 0.984546 | − | 0.175125i | \(-0.0560329\pi\) |
−0.313458 | + | 0.949602i | \(0.601487\pi\) | |||||||
\(752\) | −16.6280 | − | 36.4103i | −0.606362 | − | 1.32775i | ||||
\(753\) | 0.286340 | − | 0.184019i | 0.0104348 | − | 0.00670604i | ||||
\(754\) | −1.04285 | + | 7.25315i | −0.0379782 | + | 0.264144i | ||||
\(755\) | −22.9927 | − | 14.7765i | −0.836789 | − | 0.537771i | ||||
\(756\) | 1.22475 | − | 1.41344i | 0.0445439 | − | 0.0514064i | ||||
\(757\) | 33.5740 | + | 9.85821i | 1.22027 | + | 0.358303i | 0.827569 | − | 0.561364i | \(-0.189723\pi\) |
0.392699 | + | 0.919667i | \(0.371542\pi\) | |||||||
\(758\) | 5.80601 | 0.210884 | ||||||||
\(759\) | 28.6877 | − | 6.08121i | 1.04130 | − | 0.220734i | ||||
\(760\) | 8.36240 | 0.303336 | ||||||||
\(761\) | 33.7395 | + | 9.90681i | 1.22306 | + | 0.359122i | 0.828625 | − | 0.559804i | \(-0.189124\pi\) |
0.394431 | + | 0.918926i | \(0.370942\pi\) | |||||||
\(762\) | −0.277528 | + | 0.320284i | −0.0100538 | + | 0.0116027i | ||||
\(763\) | 0.905192 | + | 0.581732i | 0.0327702 | + | 0.0210601i | ||||
\(764\) | −1.82450 | + | 12.6897i | −0.0660082 | + | 0.459097i | ||||
\(765\) | 18.7290 | − | 12.0364i | 0.677149 | − | 0.435177i | ||||
\(766\) | −0.736356 | − | 1.61239i | −0.0266056 | − | 0.0582582i | ||||
\(767\) | 7.36524 | + | 8.49994i | 0.265943 | + | 0.306915i | ||||
\(768\) | 0.939256 | + | 6.53267i | 0.0338925 | + | 0.235727i | ||||
\(769\) | 3.37425 | − | 7.38858i | 0.121679 | − | 0.266439i | −0.838985 | − | 0.544155i | \(-0.816850\pi\) |
0.960663 | + | 0.277716i | \(0.0895775\pi\) | |||||||
\(770\) | 7.06502 | − | 2.07448i | 0.254605 | − | 0.0747589i | ||||
\(771\) | −11.1939 | + | 3.28684i | −0.403140 | + | 0.118372i | ||||
\(772\) | 21.2056 | − | 46.4339i | 0.763207 | − | 1.67119i | ||||
\(773\) | 0.779930 | + | 5.42453i | 0.0280521 | + | 0.195107i | 0.999029 | − | 0.0440685i | \(-0.0140320\pi\) |
−0.970976 | + | 0.239175i | \(0.923123\pi\) | |||||||
\(774\) | −0.576652 | − | 0.665492i | −0.0207273 | − | 0.0239206i | ||||
\(775\) | 8.77311 | + | 19.2104i | 0.315139 | + | 0.690059i | ||||
\(776\) | 6.54189 | − | 4.20422i | 0.234840 | − | 0.150923i | ||||
\(777\) | 1.00868 | − | 7.01551i | 0.0361861 | − | 0.251680i | ||||
\(778\) | −2.26022 | − | 1.45256i | −0.0810329 | − | 0.0520767i | ||||
\(779\) | 9.40165 | − | 10.8501i | 0.336849 | − | 0.388744i | ||||
\(780\) | −25.4489 | − | 7.47249i | −0.911218 | − | 0.267558i | ||||
\(781\) | 79.1103 | 2.83079 | ||||||||
\(782\) | 9.17296 | + | 6.94312i | 0.328024 | + | 0.248286i | ||||
\(783\) | 4.79547 | 0.171376 | ||||||||
\(784\) | −3.10716 | − | 0.912345i | −0.110970 | − | 0.0325838i | ||||
\(785\) | 18.5640 | − | 21.4240i | 0.662577 | − | 0.764655i | ||||
\(786\) | 1.22155 | + | 0.785041i | 0.0435712 | + | 0.0280015i | ||||
\(787\) | −2.73521 | + | 19.0238i | −0.0974998 | + | 0.678126i | 0.881187 | + | 0.472768i | \(0.156745\pi\) |
−0.978687 | + | 0.205358i | \(0.934164\pi\) | |||||||
\(788\) | 30.1759 | − | 19.3928i | 1.07497 | − | 0.690842i | ||||
\(789\) | 0.414803 | + | 0.908291i | 0.0147674 | + | 0.0323360i | ||||
\(790\) | −6.20141 | − | 7.15681i | −0.220636 | − | 0.254628i | ||||
\(791\) | 1.25341 | + | 8.71764i | 0.0445660 | + | 0.309964i | ||||
\(792\) | −3.54120 | + | 7.75414i | −0.125831 | + | 0.275531i | ||||
\(793\) | −22.3528 | + | 6.56338i | −0.793772 | + | 0.233072i | ||||
\(794\) | −5.29536 | + | 1.55486i | −0.187925 | + | 0.0551799i | ||||
\(795\) | 7.72875 | − | 16.9236i | 0.274111 | − | 0.600219i | ||||
\(796\) | −0.514496 | − | 3.57840i | −0.0182358 | − | 0.126833i | ||||
\(797\) | 18.4950 | + | 21.3444i | 0.655126 | + | 0.756056i | 0.981973 | − | 0.189021i | \(-0.0605316\pi\) |
−0.326847 | + | 0.945077i | \(0.605986\pi\) | |||||||
\(798\) | −0.268492 | − | 0.587916i | −0.00950452 | − | 0.0208120i | ||||
\(799\) | −69.2483 | + | 44.5032i | −2.44983 | + | 1.57441i | ||||
\(800\) | 3.47588 | − | 24.1753i | 0.122891 | − | 0.854725i | ||||
\(801\) | −5.41528 | − | 3.48019i | −0.191340 | − | 0.122966i | ||||
\(802\) | 1.62320 | − | 1.87327i | 0.0573171 | − | 0.0661474i | ||||
\(803\) | 99.1436 | + | 29.1112i | 3.49870 | + | 1.02731i | ||||
\(804\) | 17.5192 | 0.617855 | ||||||||
\(805\) | 12.7836 | + | 9.67608i | 0.450563 | + | 0.341037i | ||||
\(806\) | −5.22521 | −0.184050 | ||||||||
\(807\) | 16.6541 | + | 4.89008i | 0.586251 | + | 0.172139i | ||||
\(808\) | −11.1841 | + | 12.9071i | −0.393456 | + | 0.454072i | ||||
\(809\) | 26.2140 | + | 16.8467i | 0.921637 | + | 0.592300i | 0.913132 | − | 0.407664i | \(-0.133656\pi\) |
0.00850466 | + | 0.999964i | \(0.497293\pi\) | |||||||
\(810\) | 0.171374 | − | 1.19193i | 0.00602148 | − | 0.0418803i | ||||
\(811\) | 16.5773 | − | 10.6536i | 0.582109 | − | 0.374098i | −0.216198 | − | 0.976350i | \(-0.569366\pi\) |
0.798307 | + | 0.602251i | \(0.205729\pi\) | |||||||
\(812\) | −3.72575 | − | 8.15825i | −0.130748 | − | 0.286298i | ||||
\(813\) | 5.27494 | + | 6.08760i | 0.185000 | + | 0.213502i | ||||
\(814\) | 2.22168 | + | 15.4521i | 0.0778698 | + | 0.541596i | ||||
\(815\) | 27.1510 | − | 59.4525i | 0.951059 | − | 2.08253i | ||||
\(816\) | 20.6923 | − | 6.07582i | 0.724377 | − | 0.212696i | ||||
\(817\) | 4.20872 | − | 1.23579i | 0.147245 | − | 0.0432349i | ||||
\(818\) | 3.20289 | − | 7.01334i | 0.111986 | − | 0.245216i | ||||
\(819\) | 0.603720 | + | 4.19897i | 0.0210957 | + | 0.146724i | ||||
\(820\) | −32.7605 | − | 37.8076i | −1.14404 | − | 1.32030i | ||||
\(821\) | 15.8697 | + | 34.7499i | 0.553858 | + | 1.21278i | 0.954957 | + | 0.296745i | \(0.0959011\pi\) |
−0.401099 | + | 0.916035i | \(0.631372\pi\) | |||||||
\(822\) | 1.54353 | − | 0.991969i | 0.0538369 | − | 0.0345989i | ||||
\(823\) | −7.06268 | + | 49.1220i | −0.246189 | + | 1.71229i | 0.373661 | + | 0.927565i | \(0.378102\pi\) |
−0.619850 | + | 0.784720i | \(0.712807\pi\) | |||||||
\(824\) | 7.43617 | + | 4.77894i | 0.259051 | + | 0.166482i | ||||
\(825\) | −24.7304 | + | 28.5404i | −0.861000 | + | 0.993647i | ||||
\(826\) | 0.916320 | + | 0.269056i | 0.0318828 | + | 0.00936165i | ||||
\(827\) | −26.1545 | −0.909482 | −0.454741 | − | 0.890624i | \(-0.650268\pi\) | ||||
−0.454741 | + | 0.890624i | \(0.650268\pi\) | |||||||
\(828\) | −8.77443 | + | 1.86000i | −0.304933 | + | 0.0646396i | ||||
\(829\) | 4.84273 | 0.168195 | 0.0840974 | − | 0.996458i | \(-0.473199\pi\) | ||||
0.0840974 | + | 0.996458i | \(0.473199\pi\) | |||||||
\(830\) | −1.84224 | − | 0.540929i | −0.0639450 | − | 0.0187759i | ||||
\(831\) | −1.29460 | + | 1.49405i | −0.0449092 | + | 0.0518279i | ||||
\(832\) | −18.0298 | − | 11.5871i | −0.625071 | − | 0.401709i | ||||
\(833\) | −0.947754 | + | 6.59178i | −0.0328377 | + | 0.228392i | ||||
\(834\) | −6.09386 | + | 3.91629i | −0.211013 | + | 0.135610i | ||||
\(835\) | −5.18797 | − | 11.3601i | −0.179537 | − | 0.393132i | ||||
\(836\) | −13.4376 | − | 15.5078i | −0.464749 | − | 0.536348i | ||||
\(837\) | 0.486649 | + | 3.38472i | 0.0168211 | + | 0.116993i | ||||
\(838\) | −4.26652 | + | 9.34238i | −0.147385 | + | 0.322727i | ||||
\(839\) | 25.7027 | − | 7.54700i | 0.887357 | − | 0.260552i | 0.193876 | − | 0.981026i | \(-0.437894\pi\) |
0.693481 | + | 0.720475i | \(0.256076\pi\) | |||||||
\(840\) | −4.47174 | + | 1.31302i | −0.154290 | + | 0.0453035i | ||||
\(841\) | −2.49392 | + | 5.46092i | −0.0859973 | + | 0.188308i | ||||
\(842\) | −0.480821 | − | 3.34418i | −0.0165702 | − | 0.115248i | ||||
\(843\) | 5.66929 | + | 6.54271i | 0.195261 | + | 0.225343i | ||||
\(844\) | −4.08341 | − | 8.94142i | −0.140557 | − | 0.307776i | ||||
\(845\) | 14.0499 | − | 9.02934i | 0.483332 | − | 0.310619i | ||||
\(846\) | −0.633636 | + | 4.40703i | −0.0217848 | + | 0.151517i | ||||
\(847\) | −22.2004 | − | 14.2673i | −0.762815 | − | 0.490231i | ||||
\(848\) | 11.8020 | − | 13.6202i | 0.405282 | − | 0.467721i | ||||
\(849\) | −9.49263 | − | 2.78729i | −0.325786 | − | 0.0956595i | ||||
\(850\) | −14.8151 | −0.508153 | ||||||||
\(851\) | −24.1627 | + | 23.9074i | −0.828287 | + | 0.819535i | ||||
\(852\) | −24.1967 | −0.828966 | ||||||||
\(853\) | 29.4644 | + | 8.65153i | 1.00884 | + | 0.296223i | 0.744080 | − | 0.668091i | \(-0.232888\pi\) |
0.264763 | + | 0.964314i | \(0.414706\pi\) | |||||||
\(854\) | −1.29541 | + | 1.49498i | −0.0443280 | + | 0.0511572i | ||||
\(855\) | 5.04622 | + | 3.24301i | 0.172577 | + | 0.110909i | ||||
\(856\) | 3.28905 | − | 22.8758i | 0.112417 | − | 0.781880i | ||||
\(857\) | 25.7207 | − | 16.5297i | 0.878604 | − | 0.564644i | −0.0217695 | − | 0.999763i | \(-0.506930\pi\) |
0.900373 | + | 0.435119i | \(0.143294\pi\) | |||||||
\(858\) | −3.88147 | − | 8.49923i | −0.132511 | − | 0.290159i | ||||
\(859\) | 29.9218 | + | 34.5316i | 1.02092 | + | 1.17820i | 0.983869 | + | 0.178888i | \(0.0572500\pi\) |
0.0370481 | + | 0.999313i | \(0.488205\pi\) | |||||||
\(860\) | −2.17523 | − | 15.1290i | −0.0741746 | − | 0.515896i | ||||
\(861\) | −3.32384 | + | 7.27820i | −0.113276 | + | 0.248040i | ||||
\(862\) | −0.423831 | + | 0.124448i | −0.0144357 | + | 0.00423871i | ||||
\(863\) | −42.2023 | + | 12.3917i | −1.43658 | + | 0.421819i | −0.905082 | − | 0.425237i | \(-0.860191\pi\) |
−0.531503 | + | 0.847057i | \(0.678372\pi\) | |||||||
\(864\) | 1.64283 | − | 3.59729i | 0.0558900 | − | 0.122382i | ||||
\(865\) | 5.26354 | + | 36.6087i | 0.178966 | + | 1.24473i | ||||
\(866\) | −9.47177 | − | 10.9310i | −0.321864 | − | 0.371451i | ||||
\(867\) | −11.3615 | − | 24.8782i | −0.385857 | − | 0.844908i | ||||
\(868\) | 5.38013 | − | 3.45760i | 0.182613 | − | 0.117359i | ||||
\(869\) | −6.84340 | + | 47.5969i | −0.232147 | + | 1.61461i | ||||
\(870\) | −4.85796 | − | 3.12202i | −0.164700 | − | 0.105846i | ||||
\(871\) | −26.0225 | + | 30.0316i | −0.881739 | + | 1.01758i | ||||
\(872\) | 1.43929 | + | 0.422613i | 0.0487404 | + | 0.0143115i | ||||
\(873\) | 5.57808 | 0.188789 | ||||||||
\(874\) | −0.674958 | + | 3.02528i | −0.0228308 | + | 0.102331i | ||||
\(875\) | −3.93134 | −0.132904 | ||||||||
\(876\) | −30.3241 | − | 8.90397i | −1.02456 | − | 0.300837i | ||||
\(877\) | 21.8083 | − | 25.1681i | 0.736415 | − | 0.849868i | −0.256764 | − | 0.966474i | \(-0.582656\pi\) |
0.993178 | + | 0.116606i | \(0.0372016\pi\) | |||||||
\(878\) | −0.804482 | − | 0.517009i | −0.0271499 | − | 0.0174482i | ||||
\(879\) | 0.371373 | − | 2.58296i | 0.0125261 | − | 0.0871210i | ||||
\(880\) | −55.6888 | + | 35.7890i | −1.87727 | + | 1.20645i | ||||
\(881\) | −10.2979 | − | 22.5492i | −0.346944 | − | 0.759701i | −0.999997 | − | 0.00238898i | \(-0.999240\pi\) |
0.653053 | − | 0.757312i | \(-0.273488\pi\) | |||||||
\(882\) | 0.235886 | + | 0.272227i | 0.00794269 | + | 0.00916635i | ||||
\(883\) | 8.24643 | + | 57.3552i | 0.277514 | + | 1.93016i | 0.358693 | + | 0.933455i | \(0.383222\pi\) |
−0.0811789 | + | 0.996700i | \(0.525869\pi\) | |||||||
\(884\) | −21.9489 | + | 48.0614i | −0.738222 | + | 1.61648i | ||||
\(885\) | −8.50427 | + | 2.49708i | −0.285868 | + | 0.0839384i | ||||
\(886\) | −3.34682 | + | 0.982714i | −0.112438 | + | 0.0330149i | ||||
\(887\) | −21.4712 | + | 47.0154i | −0.720932 | + | 1.57862i | 0.0916612 | + | 0.995790i | \(0.470782\pi\) |
−0.812593 | + | 0.582831i | \(0.801945\pi\) | |||||||
\(888\) | −1.40619 | − | 9.78027i | −0.0471887 | − | 0.328204i | ||||
\(889\) | 0.770467 | + | 0.889166i | 0.0258406 | + | 0.0298217i | ||||
\(890\) | 3.22012 | + | 7.05108i | 0.107939 | + | 0.236353i | ||||
\(891\) | −5.14402 | + | 3.30586i | −0.172331 | + | 0.110751i | ||||
\(892\) | −4.30266 | + | 29.9256i | −0.144064 | + | 1.00198i | ||||
\(893\) | −18.6578 | − | 11.9906i | −0.624359 | − | 0.401251i | ||||
\(894\) | 1.60184 | − | 1.84863i | 0.0535737 | − | 0.0618273i | ||||
\(895\) | −56.5238 | − | 16.5969i | −1.88938 | − | 0.554773i | ||||
\(896\) | −9.72915 | −0.325028 | ||||||||
\(897\) | 9.84484 | − | 17.8040i | 0.328710 | − | 0.594458i | ||||
\(898\) | 9.57972 | 0.319679 | ||||||||
\(899\) | 15.7340 | + | 4.61992i | 0.524758 | + | 0.154083i | ||||
\(900\) | 7.56405 | − | 8.72938i | 0.252135 | − | 0.290979i | ||||
\(901\) | −31.1786 | − | 20.0373i | −1.03871 | − | 0.667539i | ||||
\(902\) | 2.50806 | − | 17.4439i | 0.0835091 | − | 0.580819i | ||||
\(903\) | −2.05655 | + | 1.32166i | −0.0684376 | + | 0.0439822i | ||||
\(904\) | 5.10054 | + | 11.1686i | 0.169641 | + | 0.371463i | ||||
\(905\) | −35.5636 | − | 41.0426i | −1.18218 | − | 1.36430i | ||||
\(906\) | 0.419105 | + | 2.91494i | 0.0139238 | + | 0.0968423i | ||||
\(907\) | −13.3644 | + | 29.2640i | −0.443759 | + | 0.971696i | 0.547134 | + | 0.837045i | \(0.315719\pi\) |
−0.990893 | + | 0.134651i | \(0.957009\pi\) | |||||||
\(908\) | −2.72242 | + | 0.799374i | −0.0903466 | + | 0.0265282i | ||||
\(909\) | −11.7545 | + | 3.45142i | −0.389871 | + | 0.114476i | ||||
\(910\) | 2.12209 | − | 4.64672i | 0.0703465 | − | 0.154037i | ||||
\(911\) | 0.339864 | + | 2.36381i | 0.0112602 | + | 0.0783164i | 0.994677 | − | 0.103045i | \(-0.0328586\pi\) |
−0.983416 | + | 0.181362i | \(0.941950\pi\) | |||||||
\(912\) | 3.80512 | + | 4.39134i | 0.126000 | + | 0.145412i | ||||
\(913\) | 4.05010 | + | 8.86849i | 0.134039 | + | 0.293504i | ||||
\(914\) | 0.118576 | − | 0.0762044i | 0.00392216 | − | 0.00252062i | ||||
\(915\) | 2.61275 | − | 18.1721i | 0.0863749 | − | 0.600750i | ||||
\(916\) | 11.2314 | + | 7.21798i | 0.371096 | + | 0.238489i | ||||
\(917\) | 2.63985 | − | 3.04655i | 0.0871756 | − | 0.100606i | ||||
\(918\) | −2.30165 | − | 0.675827i | −0.0759659 | − | 0.0223056i | ||||
\(919\) | 2.28764 | 0.0754623 | 0.0377312 | − | 0.999288i | \(-0.487987\pi\) | ||||
0.0377312 | + | 0.999288i | \(0.487987\pi\) | |||||||
\(920\) | 20.9001 | + | 7.92203i | 0.689054 | + | 0.261181i | ||||
\(921\) | −12.5666 | −0.414083 | ||||||||
\(922\) | −0.696561 | − | 0.204529i | −0.0229400 | − | 0.00673579i | ||||
\(923\) | 35.9411 | − | 41.4782i | 1.18302 | − | 1.36527i | ||||
\(924\) | 9.62061 | + | 6.18279i | 0.316495 | + | 0.203399i | ||||
\(925\) | 6.22957 | − | 43.3276i | 0.204827 | − | 1.42460i | ||||
\(926\) | −8.71545 | + | 5.60108i | −0.286407 | + | 0.184063i | ||||
\(927\) | 2.63398 | + | 5.76761i | 0.0865113 | + | 0.189433i | ||||
\(928\) | −12.4191 | − | 14.3324i | −0.407676 | − | 0.470484i | ||||
\(929\) | 4.03701 | + | 28.0780i | 0.132450 | + | 0.921211i | 0.942347 | + | 0.334638i | \(0.108614\pi\) |
−0.809897 | + | 0.586573i | \(0.800477\pi\) | |||||||
\(930\) | 1.71058 | − | 3.74565i | 0.0560921 | − | 0.122825i | ||||
\(931\) | −1.72162 | + | 0.505515i | −0.0564240 | + | 0.0165676i | ||||
\(932\) | 6.88743 | − | 2.02233i | 0.225605 | − | 0.0662437i | ||||
\(933\) | 2.18994 | − | 4.79530i | 0.0716954 | − | 0.156991i | ||||
\(934\) | −1.64623 | − | 11.4498i | −0.0538662 | − | 0.374648i | ||||
\(935\) | 89.1483 | + | 102.883i | 2.91546 | + | 3.36462i | ||||
\(936\) | 2.45674 | + | 5.37951i | 0.0803011 | + | 0.175835i | ||||
\(937\) | 10.1931 | − | 6.55070i | 0.332994 | − | 0.214002i | −0.363450 | − | 0.931614i | \(-0.618401\pi\) |
0.696443 | + | 0.717612i | \(0.254765\pi\) | |||||||
\(938\) | −0.480195 | + | 3.33983i | −0.0156789 | + | 0.109049i | ||||
\(939\) | 11.4088 | + | 7.33197i | 0.372311 | + | 0.239270i | ||||
\(940\) | −50.6090 | + | 58.4060i | −1.65069 | + | 1.90499i | ||||
\(941\) | −57.6506 | − | 16.9278i | −1.87936 | − | 0.551829i | −0.996638 | − | 0.0819272i | \(-0.973893\pi\) |
−0.882719 | − | 0.469902i | \(-0.844289\pi\) | |||||||
\(942\) | −3.05444 | −0.0995192 | ||||||||
\(943\) | 33.7761 | − | 18.2109i | 1.09990 | − | 0.593029i | ||||
\(944\) | −8.58568 | −0.279440 | ||||||||
\(945\) | −3.20763 | − | 0.941846i | −0.104344 | − | 0.0306382i | ||||
\(946\) | 3.52606 | − | 4.06929i | 0.114642 | − | 0.132304i | ||||
\(947\) | −19.2693 | − | 12.3837i | −0.626169 | − | 0.402415i | 0.188720 | − | 0.982031i | \(-0.439566\pi\) |
−0.814890 | + | 0.579616i | \(0.803202\pi\) | |||||||
\(948\) | 2.09313 | − | 14.5580i | 0.0679817 | − | 0.472823i | ||||
\(949\) | 60.3058 | − | 38.7562i | 1.95761 | − | 1.25808i | ||||
\(950\) | −1.65820 | − | 3.63095i | −0.0537991 | − | 0.117804i | ||||
\(951\) | 6.22498 | + | 7.18401i | 0.201859 | + | 0.232958i | ||||
\(952\) | 1.32126 | + | 9.18955i | 0.0428222 | + | 0.297835i | ||||
\(953\) | −7.77279 | + | 17.0200i | −0.251785 | + | 0.551333i | −0.992748 | − | 0.120213i | \(-0.961642\pi\) |
0.740963 | + | 0.671546i | \(0.234370\pi\) | |||||||
\(954\) | −1.92344 | + | 0.564773i | −0.0622737 | + | 0.0182852i | ||||
\(955\) | 21.9877 | − | 6.45616i | 0.711504 | − | 0.208916i | ||||
\(956\) | −14.6136 | + | 31.9992i | −0.472636 | + | 1.03493i | ||||
\(957\) | 4.17309 | + | 29.0245i | 0.134897 | + | 0.938227i | ||||
\(958\) | 3.75014 | + | 4.32789i | 0.121162 | + | 0.139828i | ||||
\(959\) | −2.11602 | − | 4.63343i | −0.0683297 | − | 0.149621i | ||||
\(960\) | 14.2085 | − | 9.13125i | 0.458577 | − | 0.294710i | ||||
\(961\) | 2.74765 | − | 19.1103i | 0.0886339 | − | 0.616462i | ||||
\(962\) | 9.11103 | + | 5.85530i | 0.293751 | + | 0.188783i | ||||
\(963\) | 10.8562 | − | 12.5287i | 0.349836 | − | 0.403732i | ||||
\(964\) | −1.44112 | − | 0.423150i | −0.0464152 | − | 0.0136287i | ||||
\(965\) | −91.2456 | −2.93730 | ||||||||
\(966\) | −0.114084 | − | 1.72372i | −0.00367059 | − | 0.0554599i | ||||
\(967\) | −40.8249 | −1.31284 | −0.656421 | − | 0.754395i | \(-0.727930\pi\) | ||||
−0.656421 | + | 0.754395i | \(0.727930\pi\) | |||||||
\(968\) | −35.2994 | − | 10.3648i | −1.13457 | − | 0.333139i | ||||
\(969\) | 7.82512 | − | 9.03067i | 0.251379 | − | 0.290107i | ||||
\(970\) | −5.65076 | − | 3.63152i | −0.181435 | − | 0.116601i | ||||
\(971\) | 1.45859 | − | 10.1447i | 0.0468084 | − | 0.325559i | −0.952941 | − | 0.303157i | \(-0.901959\pi\) |
0.999749 | − | 0.0224025i | \(-0.00713154\pi\) | |||||||
\(972\) | 1.57335 | − | 1.01113i | 0.0504654 | − | 0.0324321i | ||||
\(973\) | 8.35401 | + | 18.2927i | 0.267817 | + | 0.586438i | ||||
\(974\) | −3.02017 | − | 3.48546i | −0.0967724 | − | 0.111681i | ||||
\(975\) | 3.72856 | + | 25.9327i | 0.119410 | + | 0.830511i | ||||
\(976\) | 7.38770 | − | 16.1768i | 0.236475 | − | 0.517807i | ||||
\(977\) | −46.7034 | + | 13.7134i | −1.49417 | + | 0.438729i | −0.923871 | − | 0.382704i | \(-0.874993\pi\) |
−0.570304 | + | 0.821434i | \(0.693175\pi\) | |||||||
\(978\) | −6.75703 | + | 1.98404i | −0.216066 | + | 0.0634427i | ||||
\(979\) | 16.3513 | − | 35.8043i | 0.522590 | − | 1.14431i | ||||
\(980\) | 0.889801 | + | 6.18870i | 0.0284236 | + | 0.197691i | ||||
\(981\) | 0.704633 | + | 0.813190i | 0.0224972 | + | 0.0259632i | ||||
\(982\) | 4.83072 | + | 10.5778i | 0.154155 | + | 0.337551i | ||||
\(983\) | 44.9488 | − | 28.8868i | 1.43364 | − | 0.921347i | 0.433851 | − | 0.900985i | \(-0.357155\pi\) |
0.999793 | − | 0.0203618i | \(-0.00648182\pi\) | |||||||
\(984\) | −1.58745 | + | 11.0410i | −0.0506061 | + | 0.351973i | ||||
\(985\) | −53.9390 | − | 34.6645i | −1.71864 | − | 1.10450i | ||||
\(986\) | −7.53319 | + | 8.69376i | −0.239906 | + | 0.276866i | ||||
\(987\) | 11.8598 | + | 3.48236i | 0.377503 | + | 0.110845i | ||||
\(988\) | −14.2358 | −0.452901 | ||||||||
\(989\) | 11.6895 | + | 0.898484i | 0.371705 | + | 0.0285701i | ||||
\(990\) | 7.36328 | 0.234020 | ||||||||
\(991\) | 11.1016 | + | 3.25973i | 0.352655 | + | 0.103549i | 0.453262 | − | 0.891378i | \(-0.350260\pi\) |
−0.100607 | + | 0.994926i | \(0.532079\pi\) | |||||||
\(992\) | 8.85572 | − | 10.2200i | 0.281169 | − | 0.324487i | ||||
\(993\) | 3.27095 | + | 2.10211i | 0.103800 | + | 0.0667085i | ||||
\(994\) | 0.663223 | − | 4.61282i | 0.0210362 | − | 0.146310i | ||||
\(995\) | −5.43628 | + | 3.49368i | −0.172342 | + | 0.110757i | ||||
\(996\) | −1.23877 | − | 2.71252i | −0.0392519 | − | 0.0859496i | ||||
\(997\) | 1.99958 | + | 2.30764i | 0.0633274 | + | 0.0730837i | 0.786529 | − | 0.617553i | \(-0.211876\pi\) |
−0.723202 | + | 0.690637i | \(0.757330\pi\) | |||||||
\(998\) | −0.141993 | − | 0.987580i | −0.00449470 | − | 0.0312613i | ||||
\(999\) | 2.94432 | − | 6.44715i | 0.0931540 | − | 0.203979i |
(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.e.64.3 | ✓ | 60 | |
23.9 | even | 11 | inner | 483.2.q.e.400.3 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.q.e.64.3 | ✓ | 60 | 1.1 | even | 1 | trivial | |
483.2.q.e.400.3 | yes | 60 | 23.9 | even | 11 | inner |