Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(4,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(110))
chi = DirichletCharacter(H, H._module([55, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.u (of order \(110\), degree \(40\), 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(2560\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{110})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{110}]$ |
Embedding invariants
Embedding label | 4.14 | ||
Character | \(\chi\) | \(=\) | 605.4 |
Dual form | 605.2.u.a.454.14 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{55}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.109164 | + | 1.90906i | −0.0771907 | + | 1.34991i | 0.697051 | + | 0.717021i | \(0.254495\pi\) |
−0.774242 | + | 0.632890i | \(0.781869\pi\) | |||||||
\(3\) | −0.681776 | − | 0.221522i | −0.393623 | − | 0.127896i | 0.105516 | − | 0.994418i | \(-0.466350\pi\) |
−0.499140 | + | 0.866522i | \(0.666350\pi\) | |||||||
\(4\) | −1.64564 | − | 0.188819i | −0.822819 | − | 0.0944097i | ||||
\(5\) | 1.44293 | − | 1.70820i | 0.645296 | − | 0.763932i | ||||
\(6\) | 0.497325 | − | 1.27737i | 0.203032 | − | 0.521484i | ||||
\(7\) | 0.922133 | − | 2.18203i | 0.348534 | − | 0.824729i | −0.649398 | − | 0.760448i | \(-0.724979\pi\) |
0.997932 | − | 0.0642810i | \(-0.0204754\pi\) | |||||||
\(8\) | −0.112026 | + | 0.647336i | −0.0396072 | + | 0.228868i | ||||
\(9\) | −2.01131 | − | 1.46130i | −0.670435 | − | 0.487100i | ||||
\(10\) | 3.10355 | + | 2.94111i | 0.981430 | + | 0.930061i | ||||
\(11\) | −3.11208 | − | 1.14671i | −0.938329 | − | 0.345745i | ||||
\(12\) | 1.08013 | + | 0.493278i | 0.311806 | + | 0.142397i | ||||
\(13\) | 0.577163 | + | 1.02202i | 0.160076 | + | 0.283458i | 0.939172 | − | 0.343446i | \(-0.111594\pi\) |
−0.779096 | + | 0.626905i | \(0.784322\pi\) | |||||||
\(14\) | 4.06497 | + | 1.99861i | 1.08641 | + | 0.534151i | ||||
\(15\) | −1.36216 | + | 0.844972i | −0.351708 | + | 0.218171i | ||||
\(16\) | −4.45035 | − | 1.03488i | −1.11259 | − | 0.258721i | ||||
\(17\) | −1.59137 | − | 4.46013i | −0.385964 | − | 1.08174i | −0.964040 | − | 0.265758i | \(-0.914378\pi\) |
0.578076 | − | 0.815983i | \(-0.303804\pi\) | |||||||
\(18\) | 3.00927 | − | 3.68019i | 0.709292 | − | 0.867428i | ||||
\(19\) | 0.105345 | − | 3.68754i | 0.0241677 | − | 0.845981i | −0.893600 | − | 0.448864i | \(-0.851829\pi\) |
0.917768 | − | 0.397117i | \(-0.129989\pi\) | |||||||
\(20\) | −2.69708 | + | 2.53863i | −0.603085 | + | 0.567656i | ||||
\(21\) | −1.11206 | + | 1.28338i | −0.242671 | + | 0.280057i | ||||
\(22\) | 2.52886 | − | 5.81598i | 0.539155 | − | 1.23997i | ||||
\(23\) | 6.38102 | − | 5.52919i | 1.33053 | − | 1.15291i | 0.354560 | − | 0.935033i | \(-0.384631\pi\) |
0.975975 | − | 0.217882i | \(-0.0699147\pi\) | |||||||
\(24\) | 0.219776 | − | 0.416522i | 0.0448616 | − | 0.0850222i | ||||
\(25\) | −0.835926 | − | 4.92963i | −0.167185 | − | 0.985926i | ||||
\(26\) | −2.01411 | + | 0.990272i | −0.395000 | + | 0.194208i | ||||
\(27\) | 2.31163 | + | 3.18169i | 0.444873 | + | 0.612316i | ||||
\(28\) | −1.92951 | + | 3.41671i | −0.364642 | + | 0.645698i | ||||
\(29\) | −3.95364 | − | 5.78201i | −0.734172 | − | 1.07369i | −0.994143 | − | 0.108076i | \(-0.965531\pi\) |
0.259971 | − | 0.965616i | \(-0.416287\pi\) | |||||||
\(30\) | −1.46440 | − | 2.69268i | −0.267363 | − | 0.491615i | ||||
\(31\) | −1.62825 | + | 8.03572i | −0.292442 | + | 1.44326i | 0.516964 | + | 0.856007i | \(0.327062\pi\) |
−0.809406 | + | 0.587250i | \(0.800211\pi\) | |||||||
\(32\) | 2.09130 | − | 7.12233i | 0.369694 | − | 1.25906i | ||||
\(33\) | 1.86772 | + | 1.47119i | 0.325129 | + | 0.256102i | ||||
\(34\) | 8.68839 | − | 2.55114i | 1.49005 | − | 0.437517i | ||||
\(35\) | −2.39678 | − | 4.72370i | −0.405130 | − | 0.798451i | ||||
\(36\) | 3.03396 | + | 2.78454i | 0.505660 | + | 0.464090i | ||||
\(37\) | 0.680518 | + | 0.741473i | 0.111876 | + | 0.121897i | 0.790154 | − | 0.612908i | \(-0.210001\pi\) |
−0.678278 | + | 0.734806i | \(0.737273\pi\) | |||||||
\(38\) | 7.02825 | + | 0.603657i | 1.14013 | + | 0.0979261i | ||||
\(39\) | −0.167095 | − | 0.824645i | −0.0267566 | − | 0.132049i | ||||
\(40\) | 0.944138 | + | 1.12542i | 0.149281 | + | 0.177945i | ||||
\(41\) | 0.428109 | + | 1.62869i | 0.0668593 | + | 0.254359i | 0.992178 | − | 0.124831i | \(-0.0398389\pi\) |
−0.925319 | + | 0.379190i | \(0.876203\pi\) | |||||||
\(42\) | −2.32866 | − | 2.26308i | −0.359320 | − | 0.349201i | ||||
\(43\) | −1.26060 | + | 0.181247i | −0.192239 | + | 0.0276398i | −0.237762 | − | 0.971323i | \(-0.576414\pi\) |
0.0455226 | + | 0.998963i | \(0.485505\pi\) | |||||||
\(44\) | 4.90484 | + | 2.47469i | 0.739433 | + | 0.373073i | ||||
\(45\) | −5.39836 | + | 1.32717i | −0.804740 | + | 0.197843i | ||||
\(46\) | 9.85898 | + | 12.7854i | 1.45363 | + | 1.88510i | ||||
\(47\) | 3.75143 | + | 4.58781i | 0.547203 | + | 0.669201i | 0.971697 | − | 0.236230i | \(-0.0759118\pi\) |
−0.424494 | + | 0.905431i | \(0.639548\pi\) | |||||||
\(48\) | 2.80489 | + | 1.69141i | 0.404851 | + | 0.244134i | ||||
\(49\) | 0.967642 | + | 0.995680i | 0.138235 | + | 0.142240i | ||||
\(50\) | 9.50222 | − | 1.05770i | 1.34382 | − | 0.149581i | ||||
\(51\) | 0.0969397 | + | 3.39333i | 0.0135743 | + | 0.475162i | ||||
\(52\) | −0.756824 | − | 1.79086i | −0.104953 | − | 0.248348i | ||||
\(53\) | 2.44653 | + | 10.5209i | 0.336056 | + | 1.44515i | 0.821160 | + | 0.570698i | \(0.193327\pi\) |
−0.485104 | + | 0.874456i | \(0.661218\pi\) | |||||||
\(54\) | −6.32638 | + | 4.06572i | −0.860912 | + | 0.553274i | ||||
\(55\) | −6.44932 | + | 3.66146i | −0.869626 | + | 0.493711i | ||||
\(56\) | 1.30920 | + | 0.841374i | 0.174950 | + | 0.112433i | ||||
\(57\) | −0.888695 | + | 2.49074i | −0.117710 | + | 0.329907i | ||||
\(58\) | 11.4698 | − | 6.91655i | 1.50606 | − | 0.908187i | ||||
\(59\) | 3.06310 | − | 11.6533i | 0.398782 | − | 1.51712i | −0.400572 | − | 0.916265i | \(-0.631189\pi\) |
0.799355 | − | 0.600860i | \(-0.205175\pi\) | |||||||
\(60\) | 2.40117 | − | 1.13332i | 0.309989 | − | 0.146310i | ||||
\(61\) | −3.87570 | + | 0.221620i | −0.496232 | + | 0.0283756i | −0.303414 | − | 0.952859i | \(-0.598126\pi\) |
−0.192818 | + | 0.981234i | \(0.561763\pi\) | |||||||
\(62\) | −15.1629 | − | 3.98564i | −1.92569 | − | 0.506176i | ||||
\(63\) | −5.04329 | + | 3.04121i | −0.635395 | + | 0.383157i | ||||
\(64\) | 4.76193 | + | 1.69905i | 0.595241 | + | 0.212382i | ||||
\(65\) | 2.57863 | + | 0.488792i | 0.319840 | + | 0.0606272i | ||||
\(66\) | −3.01249 | + | 3.40499i | −0.370811 | + | 0.419126i | ||||
\(67\) | 1.35968 | + | 2.11570i | 0.166111 | + | 0.258474i | 0.914323 | − | 0.404986i | \(-0.132724\pi\) |
−0.748212 | + | 0.663460i | \(0.769087\pi\) | |||||||
\(68\) | 1.77666 | + | 7.64024i | 0.215452 | + | 0.926516i | ||||
\(69\) | −5.57526 | + | 2.35613i | −0.671183 | + | 0.283644i | ||||
\(70\) | 9.27948 | − | 4.05995i | 1.10911 | − | 0.485256i | ||||
\(71\) | 5.53559 | − | 7.17868i | 0.656954 | − | 0.851953i | −0.339096 | − | 0.940752i | \(-0.610121\pi\) |
0.996050 | + | 0.0887991i | \(0.0283029\pi\) | |||||||
\(72\) | 1.17127 | − | 1.13829i | 0.138036 | − | 0.134148i | ||||
\(73\) | −6.28183 | − | 3.78808i | −0.735233 | − | 0.443362i | 0.0987782 | − | 0.995109i | \(-0.468507\pi\) |
−0.834011 | + | 0.551748i | \(0.813961\pi\) | |||||||
\(74\) | −1.48981 | + | 1.21821i | −0.173186 | + | 0.141614i | ||||
\(75\) | −0.522109 | + | 3.54608i | −0.0602879 | + | 0.409466i | ||||
\(76\) | −0.869639 | + | 6.04847i | −0.0997544 | + | 0.693807i | ||||
\(77\) | −5.37190 | + | 5.73324i | −0.612185 | + | 0.653363i | ||||
\(78\) | 1.59254 | − | 0.228973i | 0.180320 | − | 0.0259260i | ||||
\(79\) | 5.66584 | − | 5.83001i | 0.637457 | − | 0.655928i | −0.319016 | − | 0.947749i | \(-0.603352\pi\) |
0.956473 | + | 0.291822i | \(0.0942614\pi\) | |||||||
\(80\) | −8.18932 | + | 6.10885i | −0.915594 | + | 0.682990i | ||||
\(81\) | 1.43355 | + | 4.41202i | 0.159284 | + | 0.490224i | ||||
\(82\) | −3.15601 | + | 0.639491i | −0.348523 | + | 0.0706200i | ||||
\(83\) | 8.50930 | + | 0.730864i | 0.934017 | + | 0.0802228i | 0.542601 | − | 0.839991i | \(-0.317440\pi\) |
0.391417 | + | 0.920214i | \(0.371985\pi\) | |||||||
\(84\) | 2.07237 | − | 1.90200i | 0.226114 | − | 0.207526i | ||||
\(85\) | −9.91505 | − | 3.71725i | −1.07544 | − | 0.403193i | ||||
\(86\) | −0.208399 | − | 2.42634i | −0.0224722 | − | 0.261639i | ||||
\(87\) | 1.41465 | + | 4.81785i | 0.151666 | + | 0.516528i | ||||
\(88\) | 1.09094 | − | 1.88610i | 0.116295 | − | 0.201059i | ||||
\(89\) | 7.51391 | + | 2.20628i | 0.796473 | + | 0.233866i | 0.654557 | − | 0.756013i | \(-0.272855\pi\) |
0.141917 | + | 0.989879i | \(0.454674\pi\) | |||||||
\(90\) | −1.94435 | − | 10.4507i | −0.204953 | − | 1.10160i | ||||
\(91\) | 2.76231 | − | 0.316945i | 0.289568 | − | 0.0332249i | ||||
\(92\) | −11.5449 | + | 7.89418i | −1.20364 | + | 0.823025i | ||||
\(93\) | 2.89019 | − | 5.11786i | 0.299699 | − | 0.530698i | ||||
\(94\) | −9.16794 | + | 6.66090i | −0.945600 | + | 0.687019i | ||||
\(95\) | −6.14708 | − | 5.50081i | −0.630677 | − | 0.564371i | ||||
\(96\) | −3.00356 | + | 4.39256i | −0.306549 | + | 0.448314i | ||||
\(97\) | −8.27728 | − | 4.36747i | −0.840431 | − | 0.443450i | −0.00958595 | − | 0.999954i | \(-0.503051\pi\) |
−0.830845 | + | 0.556504i | \(0.812142\pi\) | |||||||
\(98\) | −2.00645 | + | 1.73860i | −0.202682 | + | 0.175625i | ||||
\(99\) | 4.58367 | + | 6.85406i | 0.460676 | + | 0.688859i | ||||
\(100\) | 0.444822 | + | 8.27022i | 0.0444822 | + | 0.827022i | ||||
\(101\) | −3.70811 | − | 9.52420i | −0.368971 | − | 0.947693i | −0.986882 | − | 0.161445i | \(-0.948384\pi\) |
0.617911 | − | 0.786248i | \(-0.287979\pi\) | |||||||
\(102\) | −6.48867 | − | 0.185366i | −0.642474 | − | 0.0183540i | ||||
\(103\) | −8.25141 | + | 10.0911i | −0.813036 | + | 0.994301i | 0.186893 | + | 0.982380i | \(0.440158\pi\) |
−0.999929 | + | 0.0119205i | \(0.996205\pi\) | |||||||
\(104\) | −0.726250 | + | 0.259126i | −0.0712147 | + | 0.0254093i | ||||
\(105\) | 0.587662 | + | 3.75144i | 0.0573500 | + | 0.366103i | ||||
\(106\) | −20.3521 | + | 3.52207i | −1.97677 | + | 0.342093i | ||||
\(107\) | 3.45064 | − | 7.01824i | 0.333586 | − | 0.678479i | −0.664014 | − | 0.747720i | \(-0.731149\pi\) |
0.997600 | + | 0.0692411i | \(0.0220578\pi\) | |||||||
\(108\) | −3.20334 | − | 5.67238i | −0.308242 | − | 0.545825i | ||||
\(109\) | −6.70609 | + | 14.6843i | −0.642327 | + | 1.40650i | 0.255786 | + | 0.966733i | \(0.417666\pi\) |
−0.898113 | + | 0.439766i | \(0.855061\pi\) | |||||||
\(110\) | −6.28592 | − | 12.7118i | −0.599339 | − | 1.21203i | ||||
\(111\) | −0.299708 | − | 0.656268i | −0.0284470 | − | 0.0622902i | ||||
\(112\) | −6.36197 | + | 8.75649i | −0.601149 | + | 0.827411i | ||||
\(113\) | −1.23546 | + | 7.13902i | −0.116222 | + | 0.671583i | 0.868262 | + | 0.496106i | \(0.165237\pi\) |
−0.984484 | + | 0.175476i | \(0.943853\pi\) | |||||||
\(114\) | −4.65797 | − | 1.96847i | −0.436259 | − | 0.184364i | ||||
\(115\) | −0.237637 | − | 18.8783i | −0.0221598 | − | 1.76041i | ||||
\(116\) | 5.41450 | + | 10.2616i | 0.502724 | + | 0.952767i | ||||
\(117\) | 0.332630 | − | 2.89901i | 0.0307517 | − | 0.268013i | ||||
\(118\) | 21.9124 | + | 7.11977i | 2.01720 | + | 0.655428i | ||||
\(119\) | −11.1996 | − | 0.640416i | −1.02667 | − | 0.0587068i | ||||
\(120\) | −0.394384 | − | 0.976433i | −0.0360022 | − | 0.0891357i | ||||
\(121\) | 8.37013 | + | 7.13729i | 0.760921 | + | 0.648845i | ||||
\(122\) | − | 7.42314i | − | 0.672059i | ||||||
\(123\) | 0.0689181 | − | 1.20524i | 0.00621413 | − | 0.108673i | ||||
\(124\) | 4.19680 | − | 12.9164i | 0.376884 | − | 1.15993i | ||||
\(125\) | −9.62699 | − | 5.68516i | −0.861064 | − | 0.508496i | ||||
\(126\) | −5.25532 | − | 9.95994i | −0.468181 | − | 0.887302i | ||||
\(127\) | 18.7407 | + | 7.29641i | 1.66297 | + | 0.647452i | 0.995285 | − | 0.0969955i | \(-0.0309232\pi\) |
0.667681 | + | 0.744447i | \(0.267287\pi\) | |||||||
\(128\) | 2.01569 | − | 4.76969i | 0.178163 | − | 0.421585i | ||||
\(129\) | 0.899595 | + | 0.155681i | 0.0792049 | + | 0.0137069i | ||||
\(130\) | −1.21463 | + | 4.86940i | −0.106530 | + | 0.427075i | ||||
\(131\) | −0.315760 | − | 0.691418i | −0.0275881 | − | 0.0604095i | 0.895336 | − | 0.445391i | \(-0.146935\pi\) |
−0.922924 | + | 0.384981i | \(0.874208\pi\) | |||||||
\(132\) | −2.79580 | − | 2.77371i | −0.243343 | − | 0.241421i | ||||
\(133\) | −7.94919 | − | 3.63027i | −0.689282 | − | 0.314785i | ||||
\(134\) | −4.18743 | + | 2.36475i | −0.361739 | + | 0.204283i | ||||
\(135\) | 8.77048 | + | 0.642202i | 0.754843 | + | 0.0552719i | ||||
\(136\) | 3.06548 | − | 0.530502i | 0.262863 | − | 0.0454902i | ||||
\(137\) | 2.79218 | − | 12.0073i | 0.238552 | − | 1.02585i | −0.708737 | − | 0.705472i | \(-0.750735\pi\) |
0.947289 | − | 0.320380i | \(-0.103811\pi\) | |||||||
\(138\) | −3.88937 | − | 10.9007i | −0.331085 | − | 0.927931i | ||||
\(139\) | 6.05600 | + | 4.95196i | 0.513663 | + | 0.420020i | 0.853992 | − | 0.520286i | \(-0.174175\pi\) |
−0.340329 | + | 0.940306i | \(0.610538\pi\) | |||||||
\(140\) | 3.05231 | + | 8.22606i | 0.257967 | + | 0.695229i | ||||
\(141\) | −1.54133 | − | 3.95888i | −0.129804 | − | 0.333398i | ||||
\(142\) | 13.1003 | + | 11.3514i | 1.09935 | + | 0.952592i | ||||
\(143\) | −0.624219 | − | 3.84246i | −0.0521998 | − | 0.321323i | ||||
\(144\) | 7.43874 | + | 8.58476i | 0.619895 | + | 0.715397i | ||||
\(145\) | −15.5817 | − | 1.58939i | −1.29399 | − | 0.131992i | ||||
\(146\) | 7.91744 | − | 11.5789i | 0.655252 | − | 0.958275i | ||||
\(147\) | −0.439149 | − | 0.893184i | −0.0362204 | − | 0.0736686i | ||||
\(148\) | −0.979881 | − | 1.34869i | −0.0805457 | − | 0.110862i | ||||
\(149\) | −10.4700 | − | 5.91268i | −0.857735 | − | 0.484385i | −0.000914495 | − | 1.00000i | \(-0.500291\pi\) |
−0.856821 | + | 0.515614i | \(0.827564\pi\) | |||||||
\(150\) | −6.71268 | − | 1.38384i | −0.548088 | − | 0.112990i | ||||
\(151\) | −19.4944 | + | 2.23678i | −1.58643 | + | 0.182026i | −0.861851 | − | 0.507162i | \(-0.830695\pi\) |
−0.724583 | + | 0.689188i | \(0.757967\pi\) | |||||||
\(152\) | 2.37528 | + | 0.481294i | 0.192661 | + | 0.0390381i | ||||
\(153\) | −3.31685 | + | 11.2962i | −0.268151 | + | 0.913240i | ||||
\(154\) | −10.3587 | − | 10.8812i | −0.834727 | − | 0.876829i | ||||
\(155\) | 11.3772 | + | 14.3763i | 0.913839 | + | 1.15473i | ||||
\(156\) | 0.119268 | + | 1.38862i | 0.00954912 | + | 0.111178i | ||||
\(157\) | −0.545908 | + | 0.594806i | −0.0435682 | + | 0.0474707i | −0.758143 | − | 0.652089i | \(-0.773893\pi\) |
0.714575 | + | 0.699559i | \(0.246620\pi\) | |||||||
\(158\) | 10.5113 | + | 11.4529i | 0.836238 | + | 0.911141i | ||||
\(159\) | 0.662628 | − | 7.71484i | 0.0525498 | − | 0.611827i | ||||
\(160\) | −9.14880 | − | 13.8494i | −0.723276 | − | 1.09489i | ||||
\(161\) | −6.18069 | − | 19.0222i | −0.487107 | − | 1.49916i | ||||
\(162\) | −8.57931 | + | 2.25511i | −0.674054 | + | 0.177178i | ||||
\(163\) | 2.47011 | + | 2.40055i | 0.193474 | + | 0.188026i | 0.787305 | − | 0.616564i | \(-0.211476\pi\) |
−0.593831 | + | 0.804590i | \(0.702385\pi\) | |||||||
\(164\) | −0.396983 | − | 2.76108i | −0.0309991 | − | 0.215604i | ||||
\(165\) | 5.20808 | − | 1.06763i | 0.405449 | − | 0.0831147i | ||||
\(166\) | −2.32418 | + | 16.1650i | −0.180391 | + | 1.25465i | ||||
\(167\) | 5.62890 | − | 4.34053i | 0.435578 | − | 0.335880i | −0.369312 | − | 0.929306i | \(-0.620407\pi\) |
0.804889 | + | 0.593425i | \(0.202225\pi\) | |||||||
\(168\) | −0.706200 | − | 0.863646i | −0.0544845 | − | 0.0666318i | ||||
\(169\) | 6.00175 | − | 9.95279i | 0.461673 | − | 0.765599i | ||||
\(170\) | 8.17884 | − | 18.5227i | 0.627288 | − | 1.42062i | ||||
\(171\) | −5.60048 | + | 7.26284i | −0.428280 | + | 0.555403i | ||||
\(172\) | 2.10871 | − | 0.0602410i | 0.160788 | − | 0.00459333i | ||||
\(173\) | −0.0967753 | − | 0.228998i | −0.00735769 | − | 0.0174104i | 0.917404 | − | 0.397958i | \(-0.130281\pi\) |
−0.924761 | + | 0.380548i | \(0.875736\pi\) | |||||||
\(174\) | −9.35200 | + | 2.17472i | −0.708974 | + | 0.164865i | ||||
\(175\) | −11.5274 | − | 2.72176i | −0.871391 | − | 0.205746i | ||||
\(176\) | 12.6632 | + | 8.32389i | 0.954521 | + | 0.627437i | ||||
\(177\) | −4.66981 | + | 7.26636i | −0.351004 | + | 0.546173i | ||||
\(178\) | −5.03218 | + | 14.1037i | −0.377178 | + | 1.05712i | ||||
\(179\) | −7.97244 | − | 13.2208i | −0.595888 | − | 0.988169i | −0.997382 | − | 0.0723078i | \(-0.976964\pi\) |
0.401494 | − | 0.915861i | \(-0.368491\pi\) | |||||||
\(180\) | 9.13435 | − | 1.16473i | 0.680834 | − | 0.0868140i | ||||
\(181\) | 2.63203 | − | 0.150505i | 0.195637 | − | 0.0111869i | 0.0410045 | − | 0.999159i | \(-0.486944\pi\) |
0.154633 | + | 0.987972i | \(0.450581\pi\) | |||||||
\(182\) | 0.303523 | + | 5.30801i | 0.0224986 | + | 0.393456i | ||||
\(183\) | 2.69145 | + | 0.707458i | 0.198958 | + | 0.0522968i | ||||
\(184\) | 2.86440 | + | 4.75008i | 0.211167 | + | 0.350181i | ||||
\(185\) | 2.24852 | − | 0.0925725i | 0.165315 | − | 0.00680607i | ||||
\(186\) | 9.45481 | + | 6.07624i | 0.693260 | + | 0.445531i | ||||
\(187\) | −0.161980 | + | 15.7051i | −0.0118452 | + | 1.14847i | ||||
\(188\) | −5.30723 | − | 8.25822i | −0.387070 | − | 0.602292i | ||||
\(189\) | 9.07416 | − | 2.11011i | 0.660048 | − | 0.153488i | ||||
\(190\) | 11.1724 | − | 11.1347i | 0.810533 | − | 0.807793i | ||||
\(191\) | 0.602650 | + | 21.0955i | 0.0436062 | + | 1.52642i | 0.667324 | + | 0.744768i | \(0.267440\pi\) |
−0.623718 | + | 0.781650i | \(0.714379\pi\) | |||||||
\(192\) | −2.87019 | − | 2.21325i | −0.207138 | − | 0.159727i | ||||
\(193\) | 3.20806 | − | 3.11772i | 0.230921 | − | 0.224418i | −0.572385 | − | 0.819985i | \(-0.693982\pi\) |
0.803306 | + | 0.595567i | \(0.203072\pi\) | |||||||
\(194\) | 9.24136 | − | 15.3251i | 0.663491 | − | 1.10028i | ||||
\(195\) | −1.64977 | − | 0.904470i | −0.118142 | − | 0.0647705i | ||||
\(196\) | −1.40438 | − | 1.82124i | −0.100313 | − | 0.130088i | ||||
\(197\) | −6.26367 | − | 0.900579i | −0.446268 | − | 0.0641636i | −0.0844823 | − | 0.996425i | \(-0.526924\pi\) |
−0.361786 | + | 0.932261i | \(0.617833\pi\) | |||||||
\(198\) | −13.5852 | + | 8.00229i | −0.965458 | + | 0.568698i | ||||
\(199\) | −1.89230 | − | 13.1612i | −0.134142 | − | 0.932975i | −0.940075 | − | 0.340968i | \(-0.889245\pi\) |
0.805933 | − | 0.592006i | \(-0.201664\pi\) | |||||||
\(200\) | 3.28477 | + | 0.0111210i | 0.232269 | + | 0.000786371i | ||||
\(201\) | −0.458320 | − | 1.74363i | −0.0323274 | − | 0.122986i | ||||
\(202\) | 18.5871 | − | 6.03931i | 1.30778 | − | 0.424924i | ||||
\(203\) | −16.2623 | + | 3.29517i | −1.14139 | + | 0.231275i | ||||
\(204\) | 0.481199 | − | 5.60250i | 0.0336907 | − | 0.392254i | ||||
\(205\) | 3.39987 | + | 1.61879i | 0.237457 | + | 0.113061i | ||||
\(206\) | −18.3637 | − | 16.8540i | −1.27946 | − | 1.17428i | ||||
\(207\) | −20.9140 | + | 1.79630i | −1.45362 | + | 0.124852i | ||||
\(208\) | −1.51090 | − | 5.14566i | −0.104762 | − | 0.356787i | ||||
\(209\) | −4.55637 | + | 11.3551i | −0.315171 | + | 0.785452i | ||||
\(210\) | −7.22589 | + | 0.712361i | −0.498634 | + | 0.0491576i | ||||
\(211\) | −1.60110 | + | 7.90175i | −0.110224 | + | 0.543979i | 0.886473 | + | 0.462779i | \(0.153148\pi\) |
−0.996698 | + | 0.0811995i | \(0.974125\pi\) | |||||||
\(212\) | −2.03955 | − | 17.7755i | −0.140077 | − | 1.22083i | ||||
\(213\) | −5.36427 | + | 3.66799i | −0.367554 | + | 0.251327i | ||||
\(214\) | 13.0216 | + | 7.35362i | 0.890136 | + | 0.502683i | ||||
\(215\) | −1.50934 | + | 2.41488i | −0.102936 | + | 0.164694i | ||||
\(216\) | −2.31858 | + | 1.13997i | −0.157760 | + | 0.0775652i | ||||
\(217\) | 16.0327 | + | 10.9629i | 1.08837 | + | 0.744209i | ||||
\(218\) | −27.3011 | − | 14.4053i | −1.84907 | − | 0.975652i | ||||
\(219\) | 3.44365 | + | 3.97419i | 0.232701 | + | 0.268551i | ||||
\(220\) | 11.3046 | − | 4.80769i | 0.762156 | − | 0.324134i | ||||
\(221\) | 3.63988 | − | 4.20064i | 0.244845 | − | 0.282566i | ||||
\(222\) | 1.28557 | − | 0.500519i | 0.0862821 | − | 0.0335927i | ||||
\(223\) | 24.8579 | + | 0.710133i | 1.66461 | + | 0.0475540i | 0.848119 | − | 0.529806i | \(-0.177735\pi\) |
0.816489 | + | 0.577360i | \(0.195917\pi\) | |||||||
\(224\) | −13.6127 | − | 11.1310i | −0.909535 | − | 0.743723i | ||||
\(225\) | −5.52236 | + | 11.1365i | −0.368157 | + | 0.742435i | ||||
\(226\) | −13.4940 | − | 3.13789i | −0.897606 | − | 0.208729i | ||||
\(227\) | −0.668398 | − | 3.86230i | −0.0443631 | − | 0.256350i | 0.954800 | − | 0.297248i | \(-0.0960689\pi\) |
−0.999163 | + | 0.0408983i | \(0.986978\pi\) | |||||||
\(228\) | 1.93277 | − | 3.93106i | 0.128001 | − | 0.260341i | ||||
\(229\) | 0.334887 | − | 0.189119i | 0.0221299 | − | 0.0124973i | −0.480628 | − | 0.876924i | \(-0.659591\pi\) |
0.502758 | + | 0.864427i | \(0.332319\pi\) | |||||||
\(230\) | 36.0658 | + | 1.60717i | 2.37811 | + | 0.105974i | ||||
\(231\) | 4.93247 | − | 2.71879i | 0.324533 | − | 0.178883i | ||||
\(232\) | 4.18581 | − | 1.91160i | 0.274812 | − | 0.125503i | ||||
\(233\) | 0.774234 | − | 1.06564i | 0.0507218 | − | 0.0698125i | −0.782903 | − | 0.622144i | \(-0.786262\pi\) |
0.833624 | + | 0.552332i | \(0.186262\pi\) | |||||||
\(234\) | 5.49808 | + | 0.951479i | 0.359420 | + | 0.0622002i | ||||
\(235\) | 13.2500 | + | 0.211657i | 0.864332 | + | 0.0138069i | ||||
\(236\) | −7.24112 | + | 18.5987i | −0.471357 | + | 1.21067i | ||||
\(237\) | −5.15431 | + | 2.71965i | −0.334808 | + | 0.176660i | ||||
\(238\) | 2.44519 | − | 21.3108i | 0.158498 | − | 1.38137i | ||||
\(239\) | −4.54712 | + | 13.9946i | −0.294129 | + | 0.905235i | 0.689384 | + | 0.724396i | \(0.257881\pi\) |
−0.983513 | + | 0.180839i | \(0.942119\pi\) | |||||||
\(240\) | 6.93653 | − | 2.35074i | 0.447751 | − | 0.151740i | ||||
\(241\) | −17.6391 | −1.13624 | −0.568119 | − | 0.822947i | \(-0.692329\pi\) | ||||
−0.568119 | + | 0.822947i | \(0.692329\pi\) | |||||||
\(242\) | −14.5393 | + | 15.2000i | −0.934619 | + | 0.977090i | ||||
\(243\) | − | 15.1239i | − | 0.970199i | ||||||
\(244\) | 6.41984 | + | 0.367100i | 0.410988 | + | 0.0235011i | ||||
\(245\) | 3.09706 | − | 0.216237i | 0.197864 | − | 0.0138149i | ||||
\(246\) | 2.29335 | + | 0.263138i | 0.146219 | + | 0.0167771i | ||||
\(247\) | 3.82956 | − | 2.02065i | 0.243669 | − | 0.128571i | ||||
\(248\) | −5.01941 | − | 1.95423i | −0.318733 | − | 0.124094i | ||||
\(249\) | −5.63953 | − | 2.38329i | −0.357391 | − | 0.151035i | ||||
\(250\) | 11.9042 | − | 17.7579i | 0.752890 | − | 1.12311i | ||||
\(251\) | 8.61669 | + | 6.26039i | 0.543881 | + | 0.395152i | 0.825524 | − | 0.564367i | \(-0.190880\pi\) |
−0.281644 | + | 0.959519i | \(0.590880\pi\) | |||||||
\(252\) | 8.87367 | − | 4.05247i | 0.558988 | − | 0.255281i | ||||
\(253\) | −26.1986 | + | 9.89013i | −1.64709 | + | 0.621787i | ||||
\(254\) | −15.9751 | + | 34.9806i | −1.00237 | + | 2.19488i | ||||
\(255\) | 5.93638 | + | 4.73074i | 0.371751 | + | 0.296250i | ||||
\(256\) | 17.9600 | + | 8.83034i | 1.12250 | + | 0.551897i | ||||
\(257\) | 4.59269 | + | 26.5386i | 0.286484 | + | 1.65543i | 0.677852 | + | 0.735198i | \(0.262911\pi\) |
−0.391368 | + | 0.920234i | \(0.627998\pi\) | |||||||
\(258\) | −0.395408 | + | 1.70039i | −0.0246170 | + | 0.105861i | ||||
\(259\) | 2.24544 | − | 0.801173i | 0.139525 | − | 0.0497824i | ||||
\(260\) | −4.15120 | − | 1.29127i | −0.257446 | − | 0.0800811i | ||||
\(261\) | −0.497273 | + | 17.4068i | −0.0307804 | + | 1.07746i | ||||
\(262\) | 1.35443 | − | 0.527327i | 0.0836769 | − | 0.0325784i | ||||
\(263\) | −18.1983 | − | 15.7689i | −1.12216 | − | 0.972354i | −0.122360 | − | 0.992486i | \(-0.539046\pi\) |
−0.999797 | + | 0.0201313i | \(0.993592\pi\) | |||||||
\(264\) | −1.16159 | + | 1.04423i | −0.0714909 | + | 0.0642681i | ||||
\(265\) | 21.5020 | + | 11.0017i | 1.32086 | + | 0.675828i | ||||
\(266\) | 7.79818 | − | 14.7792i | 0.478137 | − | 0.906171i | ||||
\(267\) | −4.63406 | − | 3.16869i | −0.283600 | − | 0.193921i | ||||
\(268\) | −1.83805 | − | 3.73841i | −0.112277 | − | 0.228360i | ||||
\(269\) | 6.32403 | − | 4.59468i | 0.385583 | − | 0.280142i | −0.378060 | − | 0.925781i | \(-0.623409\pi\) |
0.763643 | + | 0.645639i | \(0.223409\pi\) | |||||||
\(270\) | −2.18342 | + | 16.6733i | −0.132879 | + | 1.01470i | ||||
\(271\) | 13.0567 | + | 19.0949i | 0.793141 | + | 1.15993i | 0.983975 | + | 0.178309i | \(0.0570627\pi\) |
−0.190834 | + | 0.981622i | \(0.561119\pi\) | |||||||
\(272\) | 2.46644 | + | 21.4960i | 0.149550 | + | 1.30339i | ||||
\(273\) | −1.95348 | − | 0.395827i | −0.118230 | − | 0.0239565i | ||||
\(274\) | 22.6179 | + | 6.64120i | 1.36639 | + | 0.401210i | ||||
\(275\) | −3.05136 | + | 16.3000i | −0.184004 | + | 0.982925i | ||||
\(276\) | 9.61975 | − | 2.82461i | 0.579041 | − | 0.170022i | ||||
\(277\) | −2.30910 | + | 0.198329i | −0.138740 | + | 0.0119164i | −0.154738 | − | 0.987956i | \(-0.549453\pi\) |
0.0159971 | + | 0.999872i | \(0.494908\pi\) | |||||||
\(278\) | −10.1147 | + | 11.0207i | −0.606640 | + | 0.660978i | ||||
\(279\) | 15.0175 | − | 13.7829i | 0.899073 | − | 0.825162i | ||||
\(280\) | 3.32632 | − | 1.02235i | 0.198786 | − | 0.0610969i | ||||
\(281\) | −0.840103 | − | 4.14607i | −0.0501164 | − | 0.247334i | 0.947191 | − | 0.320670i | \(-0.103908\pi\) |
−0.997307 | + | 0.0733362i | \(0.976635\pi\) | |||||||
\(282\) | 7.72601 | − | 2.51033i | 0.460077 | − | 0.149488i | ||||
\(283\) | 20.3023 | − | 5.33654i | 1.20685 | − | 0.317225i | 0.404755 | − | 0.914425i | \(-0.367357\pi\) |
0.802092 | + | 0.597200i | \(0.203720\pi\) | |||||||
\(284\) | −10.4651 | + | 10.7683i | −0.620987 | + | 0.638980i | ||||
\(285\) | 2.97237 | + | 5.11203i | 0.176068 | + | 0.302810i | ||||
\(286\) | 7.40363 | − | 0.772214i | 0.437786 | − | 0.0456620i | ||||
\(287\) | 3.94863 | + | 0.567727i | 0.233080 | + | 0.0335119i | ||||
\(288\) | −14.6141 | + | 11.2692i | −0.861144 | + | 0.664042i | ||||
\(289\) | −4.19990 | + | 3.43424i | −0.247053 | + | 0.202014i | ||||
\(290\) | 4.73521 | − | 29.5729i | 0.278061 | − | 1.73658i | ||||
\(291\) | 4.67576 | + | 4.81124i | 0.274098 | + | 0.282040i | ||||
\(292\) | 9.62236 | + | 7.41995i | 0.563106 | + | 0.434220i | ||||
\(293\) | −20.7665 | + | 0.593251i | −1.21319 | + | 0.0346581i | −0.629293 | − | 0.777168i | \(-0.716655\pi\) |
−0.583899 | + | 0.811826i | \(0.698474\pi\) | |||||||
\(294\) | 1.75308 | − | 0.740859i | 0.102242 | − | 0.0432078i | ||||
\(295\) | −15.4863 | − | 22.0472i | −0.901648 | − | 1.28364i | ||||
\(296\) | −0.556218 | + | 0.357460i | −0.0323295 | + | 0.0207769i | ||||
\(297\) | −3.54553 | − | 12.5524i | −0.205732 | − | 0.728366i | ||||
\(298\) | 12.4306 | − | 19.3424i | 0.720086 | − | 1.12048i | ||||
\(299\) | 9.33385 | + | 3.33031i | 0.539790 | + | 0.192597i | ||||
\(300\) | 1.52877 | − | 5.73697i | 0.0882635 | − | 0.331224i | ||||
\(301\) | −0.766954 | + | 2.91779i | −0.0442065 | + | 0.168179i | ||||
\(302\) | −2.14205 | − | 37.4602i | −0.123261 | − | 2.15559i | ||||
\(303\) | 0.418275 | + | 7.31480i | 0.0240293 | + | 0.420224i | ||||
\(304\) | −4.28500 | + | 16.3018i | −0.245762 | + | 0.934975i | ||||
\(305\) | −5.21377 | + | 6.94026i | −0.298540 | + | 0.397398i | ||||
\(306\) | −21.2030 | − | 7.56521i | −1.21209 | − | 0.432474i | ||||
\(307\) | 16.7452 | − | 26.0561i | 0.955700 | − | 1.48710i | 0.0843510 | − | 0.996436i | \(-0.473118\pi\) |
0.871349 | − | 0.490663i | \(-0.163245\pi\) | |||||||
\(308\) | 9.92275 | − | 8.42052i | 0.565401 | − | 0.479804i | ||||
\(309\) | 7.86100 | − | 5.05196i | 0.447197 | − | 0.287396i | ||||
\(310\) | −28.6873 | + | 20.1504i | −1.62933 | + | 1.14447i | ||||
\(311\) | −5.93605 | + | 2.50860i | −0.336603 | + | 0.142250i | −0.551019 | − | 0.834493i | \(-0.685761\pi\) |
0.214416 | + | 0.976742i | \(0.431215\pi\) | |||||||
\(312\) | 0.552542 | − | 0.0157848i | 0.0312815 | − | 0.000893641i | ||||
\(313\) | −11.3650 | − | 8.76374i | −0.642389 | − | 0.495356i | 0.236969 | − | 0.971517i | \(-0.423846\pi\) |
−0.879358 | + | 0.476162i | \(0.842028\pi\) | |||||||
\(314\) | −1.07593 | − | 1.10710i | −0.0607181 | − | 0.0624775i | ||||
\(315\) | −2.08208 | + | 13.0032i | −0.117312 | + | 0.732648i | ||||
\(316\) | −10.4247 | + | 8.52427i | −0.586438 | + | 0.479528i | ||||
\(317\) | 21.4299 | − | 16.5250i | 1.20363 | − | 0.928134i | 0.204909 | − | 0.978781i | \(-0.434310\pi\) |
0.998717 | + | 0.0506473i | \(0.0161284\pi\) | |||||||
\(318\) | 14.6558 | + | 2.10718i | 0.821855 | + | 0.118165i | ||||
\(319\) | 5.67378 | + | 22.5278i | 0.317671 | + | 1.26131i | ||||
\(320\) | 9.77344 | − | 5.68274i | 0.546352 | − | 0.317675i | ||||
\(321\) | −3.90726 | + | 4.02047i | −0.218082 | + | 0.224401i | ||||
\(322\) | 36.9893 | − | 9.72278i | 2.06133 | − | 0.541830i | ||||
\(323\) | −16.6146 | + | 5.39840i | −0.924460 | + | 0.300375i | ||||
\(324\) | −1.52603 | − | 7.53127i | −0.0847796 | − | 0.418404i | ||||
\(325\) | 4.55573 | − | 3.69953i | 0.252706 | − | 0.205213i | ||||
\(326\) | −4.85245 | + | 4.45354i | −0.268752 | + | 0.246659i | ||||
\(327\) | 7.82494 | − | 8.52584i | 0.432720 | − | 0.471480i | ||||
\(328\) | −1.10227 | + | 0.0946742i | −0.0608628 | + | 0.00522751i | ||||
\(329\) | 13.4701 | − | 3.95517i | 0.742628 | − | 0.218055i | ||||
\(330\) | 1.46963 | + | 10.0591i | 0.0809006 | + | 0.553735i | ||||
\(331\) | 21.7023 | + | 6.37236i | 1.19286 | + | 0.350257i | 0.817121 | − | 0.576467i | \(-0.195569\pi\) |
0.375744 | + | 0.926723i | \(0.377387\pi\) | |||||||
\(332\) | −13.8652 | − | 2.80946i | −0.760953 | − | 0.154189i | ||||
\(333\) | −0.285215 | − | 2.48577i | −0.0156297 | − | 0.136219i | ||||
\(334\) | 7.67187 | + | 11.2198i | 0.419786 | + | 0.613918i | ||||
\(335\) | 5.57596 | + | 0.730192i | 0.304647 | + | 0.0398946i | ||||
\(336\) | 6.27719 | − | 4.56065i | 0.342449 | − | 0.248804i | ||||
\(337\) | 13.5751 | + | 27.6103i | 0.739480 | + | 1.50403i | 0.859433 | + | 0.511248i | \(0.170816\pi\) |
−0.119953 | + | 0.992780i | \(0.538274\pi\) | |||||||
\(338\) | 18.3453 | + | 12.5442i | 0.997854 | + | 0.682315i | ||||
\(339\) | 2.42376 | − | 4.59353i | 0.131640 | − | 0.249486i | ||||
\(340\) | 15.6147 | + | 7.98941i | 0.846826 | + | 0.433286i | ||||
\(341\) | 14.2818 | − | 23.1407i | 0.773405 | − | 1.25314i | ||||
\(342\) | −13.2538 | − | 11.4845i | −0.716685 | − | 0.621011i | ||||
\(343\) | 18.5172 | − | 7.20940i | 0.999835 | − | 0.389271i | ||||
\(344\) | 0.0238922 | − | 0.836335i | 0.00128818 | − | 0.0450922i | ||||
\(345\) | −4.01995 | + | 12.9234i | −0.216427 | + | 0.695773i | ||||
\(346\) | 0.447735 | − | 0.159752i | 0.0240704 | − | 0.00858830i | ||||
\(347\) | −2.12249 | + | 9.12740i | −0.113941 | + | 0.489985i | 0.885727 | + | 0.464207i | \(0.153661\pi\) |
−0.999668 | + | 0.0257774i | \(0.991794\pi\) | |||||||
\(348\) | −1.41830 | − | 8.19555i | −0.0760286 | − | 0.439328i | ||||
\(349\) | 6.16488 | + | 3.03107i | 0.329998 | + | 0.162249i | 0.598698 | − | 0.800975i | \(-0.295685\pi\) |
−0.268700 | + | 0.963224i | \(0.586594\pi\) | |||||||
\(350\) | 6.45439 | − | 21.7095i | 0.345001 | − | 1.16042i | ||||
\(351\) | −1.91757 | + | 4.19889i | −0.102352 | + | 0.224120i | ||||
\(352\) | −14.6755 | + | 19.7672i | −0.782209 | + | 1.05359i | ||||
\(353\) | 16.5504 | − | 7.55830i | 0.880888 | − | 0.402288i | 0.0769733 | − | 0.997033i | \(-0.475474\pi\) |
0.803914 | + | 0.594745i | \(0.202747\pi\) | |||||||
\(354\) | −13.3622 | − | 9.70818i | −0.710191 | − | 0.515984i | ||||
\(355\) | −4.27521 | − | 19.8142i | −0.226904 | − | 1.05163i | ||||
\(356\) | −11.9486 | − | 5.04952i | −0.633274 | − | 0.267624i | ||||
\(357\) | 7.49374 | + | 2.91758i | 0.396611 | + | 0.154415i | ||||
\(358\) | 26.1096 | − | 13.7766i | 1.37994 | − | 0.728118i | ||||
\(359\) | 25.8690 | + | 2.96819i | 1.36532 | + | 0.156655i | 0.765476 | − | 0.643465i | \(-0.222504\pi\) |
0.599840 | + | 0.800120i | \(0.295231\pi\) | |||||||
\(360\) | −0.254371 | − | 3.64324i | −0.0134065 | − | 0.192015i | ||||
\(361\) | 5.38213 | + | 0.307761i | 0.283270 | + | 0.0161980i | ||||
\(362\) | 5.04114i | 0.264956i | ||||||||
\(363\) | −4.12548 | − | 6.72020i | −0.216532 | − | 0.352719i | ||||
\(364\) | −4.60560 | −0.241399 | ||||||||
\(365\) | −15.5350 | + | 5.26473i | −0.813141 | + | 0.275568i | ||||
\(366\) | −1.64439 | + | 5.06091i | −0.0859537 | + | 0.264538i | ||||
\(367\) | 0.330038 | − | 2.87641i | 0.0172278 | − | 0.150148i | −0.982027 | − | 0.188739i | \(-0.939560\pi\) |
0.999255 | + | 0.0385917i | \(0.0122872\pi\) | |||||||
\(368\) | −34.1199 | + | 18.0032i | −1.77862 | + | 0.938482i | ||||
\(369\) | 1.51895 | − | 3.90139i | 0.0790734 | − | 0.203098i | ||||
\(370\) | −0.0687315 | + | 4.30268i | −0.00357318 | + | 0.223686i | ||||
\(371\) | 25.2129 | + | 4.36326i | 1.30899 | + | 0.226529i | ||||
\(372\) | −5.72256 | + | 7.87642i | −0.296701 | + | 0.408374i | ||||
\(373\) | −21.7715 | + | 9.94270i | −1.12728 | + | 0.514813i | −0.889696 | − | 0.456553i | \(-0.849084\pi\) |
−0.237588 | + | 0.971366i | \(0.576357\pi\) | |||||||
\(374\) | −29.9644 | − | 2.02367i | −1.54942 | − | 0.104641i | ||||
\(375\) | 5.30406 | + | 6.00860i | 0.273900 | + | 0.310283i | ||||
\(376\) | −3.39011 | + | 1.91449i | −0.174832 | + | 0.0987321i | ||||
\(377\) | 3.62745 | − | 7.37787i | 0.186823 | − | 0.379980i | ||||
\(378\) | 3.03775 | + | 17.5535i | 0.156245 | + | 0.902854i | ||||
\(379\) | 22.1214 | + | 5.14411i | 1.13630 | + | 0.264235i | 0.752122 | − | 0.659024i | \(-0.229031\pi\) |
0.384177 | + | 0.923259i | \(0.374485\pi\) | |||||||
\(380\) | 9.07720 | + | 10.2130i | 0.465651 | + | 0.523917i | ||||
\(381\) | −11.1606 | − | 9.12599i | −0.571776 | − | 0.467539i | ||||
\(382\) | −40.3384 | − | 1.15238i | −2.06389 | − | 0.0589607i | ||||
\(383\) | 14.5255 | − | 5.65530i | 0.742220 | − | 0.288972i | 0.0383139 | − | 0.999266i | \(-0.487801\pi\) |
0.703906 | + | 0.710293i | \(0.251438\pi\) | |||||||
\(384\) | −2.43084 | + | 2.80534i | −0.124048 | + | 0.143159i | ||||
\(385\) | 2.04229 | + | 17.4490i | 0.104085 | + | 0.889281i | ||||
\(386\) | 5.60172 | + | 6.46473i | 0.285120 | + | 0.329046i | ||||
\(387\) | 2.80030 | + | 1.47757i | 0.142347 | + | 0.0751090i | ||||
\(388\) | 12.7967 | + | 8.75019i | 0.649656 | + | 0.444224i | ||||
\(389\) | −7.96741 | + | 3.91731i | −0.403964 | + | 0.198616i | −0.631882 | − | 0.775065i | \(-0.717717\pi\) |
0.227918 | + | 0.973680i | \(0.426808\pi\) | |||||||
\(390\) | 1.90679 | − | 3.05077i | 0.0965538 | − | 0.154482i | ||||
\(391\) | −34.8155 | − | 19.6612i | −1.76069 | − | 0.994310i | ||||
\(392\) | −0.752941 | + | 0.514848i | −0.0380292 | + | 0.0260037i | ||||
\(393\) | 0.0621130 | + | 0.541340i | 0.00313318 | + | 0.0273070i | ||||
\(394\) | 2.40303 | − | 11.8594i | 0.121063 | − | 0.597469i | ||||
\(395\) | −1.78346 | − | 18.0907i | −0.0897357 | − | 0.910242i | ||||
\(396\) | −6.24888 | − | 12.1448i | −0.314018 | − | 0.610299i | ||||
\(397\) | 8.45663 | + | 28.8006i | 0.424426 | + | 1.44546i | 0.843313 | + | 0.537423i | \(0.180602\pi\) |
−0.418887 | + | 0.908038i | \(0.637580\pi\) | |||||||
\(398\) | 25.3322 | − | 2.17578i | 1.26979 | − | 0.109062i | ||||
\(399\) | 4.61538 | + | 4.23595i | 0.231058 | + | 0.212063i | ||||
\(400\) | −1.38143 | + | 22.8037i | −0.0690716 | + | 1.14018i | ||||
\(401\) | 2.29710 | − | 26.7446i | 0.114712 | − | 1.33556i | −0.682066 | − | 0.731290i | \(-0.738918\pi\) |
0.796778 | − | 0.604272i | \(-0.206536\pi\) | |||||||
\(402\) | 3.37873 | − | 0.684620i | 0.168516 | − | 0.0341457i | ||||
\(403\) | −9.15245 | + | 2.97381i | −0.455916 | + | 0.148136i | ||||
\(404\) | 4.30385 | + | 16.3735i | 0.214125 | + | 0.814615i | ||||
\(405\) | 9.60514 | + | 3.91742i | 0.477283 | + | 0.194658i | ||||
\(406\) | −4.51542 | − | 31.4054i | −0.224097 | − | 1.55863i | ||||
\(407\) | −1.26758 | − | 3.08788i | −0.0628314 | − | 0.153061i | ||||
\(408\) | −2.20749 | − | 0.317389i | −0.109287 | − | 0.0157131i | ||||
\(409\) | −10.6598 | − | 13.8239i | −0.527094 | − | 0.683548i | 0.450806 | − | 0.892622i | \(-0.351137\pi\) |
−0.977900 | + | 0.209074i | \(0.932955\pi\) | |||||||
\(410\) | −3.46151 | + | 6.31385i | −0.170952 | + | 0.311819i | ||||
\(411\) | −4.56352 | + | 7.56775i | −0.225102 | + | 0.373290i | ||||
\(412\) | 15.4842 | − | 15.0482i | 0.762853 | − | 0.741371i | ||||
\(413\) | −22.6032 | − | 17.4296i | −1.11223 | − | 0.857656i | ||||
\(414\) | −1.14620 | − | 40.1222i | −0.0563326 | − | 1.97190i | ||||
\(415\) | 13.5268 | − | 13.4810i | 0.664003 | − | 0.661758i | ||||
\(416\) | 8.48621 | − | 1.97338i | 0.416071 | − | 0.0967531i | ||||
\(417\) | −3.03186 | − | 4.71767i | −0.148471 | − | 0.231025i | ||||
\(418\) | −21.1803 | − | 9.93797i | −1.03596 | − | 0.486082i | ||||
\(419\) | −18.1773 | − | 11.6819i | −0.888020 | − | 0.570696i | 0.0151948 | − | 0.999885i | \(-0.495163\pi\) |
−0.903215 | + | 0.429189i | \(0.858800\pi\) | |||||||
\(420\) | −0.258734 | − | 6.28448i | −0.0126249 | − | 0.306651i | ||||
\(421\) | 12.7610 | + | 21.1618i | 0.621934 | + | 1.03136i | 0.994639 | + | 0.103412i | \(0.0329760\pi\) |
−0.372704 | + | 0.927950i | \(0.621569\pi\) | |||||||
\(422\) | −14.9102 | − | 3.91919i | −0.725815 | − | 0.190783i | ||||
\(423\) | −0.841117 | − | 14.7095i | −0.0408965 | − | 0.715198i | ||||
\(424\) | −7.08462 | + | 0.405113i | −0.344060 | + | 0.0196740i | ||||
\(425\) | −20.6565 | + | 11.5732i | −1.00199 | + | 0.561383i | ||||
\(426\) | −6.41684 | − | 10.6411i | −0.310897 | − | 0.515565i | ||||
\(427\) | −3.09033 | + | 8.66124i | −0.149551 | + | 0.419147i | ||||
\(428\) | −7.00368 | + | 10.8979i | −0.338535 | + | 0.526771i | ||||
\(429\) | −0.425613 | + | 2.75797i | −0.0205488 | + | 0.133156i | ||||
\(430\) | −4.44540 | − | 3.14505i | −0.214376 | − | 0.151668i | ||||
\(431\) | −0.532370 | + | 0.123797i | −0.0256433 | + | 0.00596310i | −0.239299 | − | 0.970946i | \(-0.576918\pi\) |
0.213655 | + | 0.976909i | \(0.431463\pi\) | |||||||
\(432\) | −6.99489 | − | 16.5519i | −0.336542 | − | 0.796353i | ||||
\(433\) | −25.6237 | + | 0.732010i | −1.23140 | + | 0.0351781i | −0.638194 | − | 0.769876i | \(-0.720318\pi\) |
−0.593202 | + | 0.805054i | \(0.702136\pi\) | |||||||
\(434\) | −22.6790 | + | 29.4107i | −1.08863 | + | 1.41176i | ||||
\(435\) | 10.2711 | + | 4.53530i | 0.492462 | + | 0.217451i | ||||
\(436\) | 13.8085 | − | 22.8988i | 0.661306 | − | 1.09665i | ||||
\(437\) | −19.7169 | − | 24.1128i | −0.943188 | − | 1.15347i | ||||
\(438\) | −7.96290 | + | 6.14031i | −0.380482 | + | 0.293395i | ||||
\(439\) | 4.78433 | − | 33.2757i | 0.228344 | − | 1.58816i | −0.476743 | − | 0.879043i | \(-0.658183\pi\) |
0.705086 | − | 0.709122i | \(-0.250908\pi\) | |||||||
\(440\) | −1.64771 | − | 4.58506i | −0.0785513 | − | 0.218584i | ||||
\(441\) | −0.491237 | − | 3.41663i | −0.0233922 | − | 0.162697i | ||||
\(442\) | 7.62194 | + | 7.40731i | 0.362539 | + | 0.352330i | ||||
\(443\) | 17.8191 | − | 4.68382i | 0.846611 | − | 0.222535i | 0.194730 | − | 0.980857i | \(-0.437617\pi\) |
0.651880 | + | 0.758322i | \(0.273980\pi\) | |||||||
\(444\) | 0.369294 | + | 1.13657i | 0.0175259 | + | 0.0539392i | ||||
\(445\) | 14.6108 | − | 9.65179i | 0.692619 | − | 0.457539i | ||||
\(446\) | −4.06928 | + | 47.3777i | −0.192686 | + | 2.24340i | ||||
\(447\) | 5.82840 | + | 6.35046i | 0.275674 | + | 0.300366i | ||||
\(448\) | 8.09851 | − | 8.82391i | 0.382619 | − | 0.416891i | ||||
\(449\) | −3.23078 | − | 37.6153i | −0.152470 | − | 1.77518i | −0.528853 | − | 0.848713i | \(-0.677378\pi\) |
0.376383 | − | 0.926464i | \(-0.377168\pi\) | |||||||
\(450\) | −20.6575 | − | 11.7582i | −0.973803 | − | 0.554288i | ||||
\(451\) | 0.535324 | − | 5.55955i | 0.0252074 | − | 0.261789i | ||||
\(452\) | 3.38110 | − | 11.5150i | 0.159034 | − | 0.541619i | ||||
\(453\) | 13.7863 | + | 2.79347i | 0.647738 | + | 0.131249i | ||||
\(454\) | 7.44634 | − | 0.854388i | 0.349474 | − | 0.0400984i | ||||
\(455\) | 3.44440 | − | 5.17591i | 0.161476 | − | 0.242650i | ||||
\(456\) | −1.51279 | − | 0.854312i | −0.0708429 | − | 0.0400068i | ||||
\(457\) | 16.2070 | + | 22.3070i | 0.758129 | + | 1.04348i | 0.997367 | + | 0.0725144i | \(0.0231023\pi\) |
−0.239238 | + | 0.970961i | \(0.576898\pi\) | |||||||
\(458\) | 0.324483 | + | 0.659964i | 0.0151621 | + | 0.0308381i | ||||
\(459\) | 10.5121 | − | 15.3734i | 0.490662 | − | 0.717570i | ||||
\(460\) | −3.17352 | + | 31.1117i | −0.147966 | + | 1.45059i | ||||
\(461\) | −0.615354 | − | 0.710156i | −0.0286599 | − | 0.0330753i | 0.741239 | − | 0.671242i | \(-0.234239\pi\) |
−0.769899 | + | 0.638166i | \(0.779693\pi\) | |||||||
\(462\) | 4.65188 | + | 9.71319i | 0.216425 | + | 0.451899i | ||||
\(463\) | 11.0032 | + | 9.53432i | 0.511362 | + | 0.443097i | 0.871926 | − | 0.489637i | \(-0.162871\pi\) |
−0.360565 | + | 0.932734i | \(0.617416\pi\) | |||||||
\(464\) | 11.6114 | + | 29.8235i | 0.539044 | + | 1.38452i | ||||
\(465\) | −4.57202 | − | 12.3217i | −0.212023 | − | 0.571407i | ||||
\(466\) | 1.94986 | + | 1.59439i | 0.0903254 | + | 0.0738587i | ||||
\(467\) | 5.19985 | + | 14.5736i | 0.240620 | + | 0.674386i | 0.999726 | + | 0.0234183i | \(0.00745494\pi\) |
−0.759105 | + | 0.650968i | \(0.774363\pi\) | |||||||
\(468\) | −1.09478 | + | 4.70791i | −0.0506061 | + | 0.217623i | ||||
\(469\) | 5.87032 | − | 1.01590i | 0.271066 | − | 0.0469099i | ||||
\(470\) | −1.85049 | + | 25.2719i | −0.0853565 | + | 1.16571i | ||||
\(471\) | 0.503949 | − | 0.284593i | 0.0232208 | − | 0.0131134i | ||||
\(472\) | 7.20043 | + | 3.28833i | 0.331427 | + | 0.151357i | ||||
\(473\) | 4.13092 | + | 0.881481i | 0.189940 | + | 0.0405305i | ||||
\(474\) | −4.62931 | − | 10.1368i | −0.212631 | − | 0.465598i | ||||
\(475\) | −18.2663 | + | 2.56320i | −0.838114 | + | 0.117608i | ||||
\(476\) | 18.3096 | + | 3.16859i | 0.839217 | + | 0.145232i | ||||
\(477\) | 10.4534 | − | 24.7358i | 0.478630 | − | 1.13257i | ||||
\(478\) | −26.2202 | − | 10.2084i | −1.19928 | − | 0.466923i | ||||
\(479\) | −9.00514 | − | 17.0666i | −0.411455 | − | 0.779794i | 0.588125 | − | 0.808770i | \(-0.299866\pi\) |
−0.999580 | + | 0.0289757i | \(0.990775\pi\) | |||||||
\(480\) | 3.16948 | + | 11.4688i | 0.144666 | + | 0.523478i | ||||
\(481\) | −0.365033 | + | 1.12346i | −0.0166441 | + | 0.0512252i | ||||
\(482\) | 1.92556 | − | 33.6742i | 0.0877069 | − | 1.53382i | ||||
\(483\) | 14.3380i | 0.652404i | ||||||||
\(484\) | −12.4265 | − | 13.3258i | −0.564843 | − | 0.605720i | ||||
\(485\) | −19.4040 | + | 7.83735i | −0.881092 | + | 0.355876i | ||||
\(486\) | 28.8725 | + | 1.65099i | 1.30968 | + | 0.0748904i | ||||
\(487\) | 2.62463 | + | 0.852793i | 0.118933 | + | 0.0386437i | 0.367879 | − | 0.929874i | \(-0.380084\pi\) |
−0.248946 | + | 0.968517i | \(0.580084\pi\) | |||||||
\(488\) | 0.290716 | − | 2.53371i | 0.0131601 | − | 0.114695i | ||||
\(489\) | −1.15228 | − | 2.18382i | −0.0521081 | − | 0.0987558i | ||||
\(490\) | 0.0747225 | + | 5.93609i | 0.00337562 | + | 0.268165i | ||||
\(491\) | −0.0864669 | − | 0.0365412i | −0.00390220 | − | 0.00164908i | 0.387318 | − | 0.921946i | \(-0.373402\pi\) |
−0.391220 | + | 0.920297i | \(0.627947\pi\) | |||||||
\(492\) | −0.340987 | + | 1.97037i | −0.0153729 | + | 0.0888313i | ||||
\(493\) | −19.4968 | + | 26.8351i | −0.878092 | + | 1.20859i | ||||
\(494\) | 3.43950 | + | 7.53145i | 0.154750 | + | 0.338856i | ||||
\(495\) | 18.3220 | + | 2.06006i | 0.823514 | + | 0.0925929i | ||||
\(496\) | 15.5623 | − | 34.0767i | 0.698768 | − | 1.53009i | ||||
\(497\) | −10.5595 | − | 18.6985i | −0.473660 | − | 0.838743i | ||||
\(498\) | 5.16547 | − | 10.5060i | 0.231470 | − | 0.470787i | ||||
\(499\) | −43.4549 | + | 7.52017i | −1.94531 | + | 0.336649i | −0.945366 | + | 0.326011i | \(0.894295\pi\) |
−0.999943 | + | 0.0106379i | \(0.996614\pi\) | |||||||
\(500\) | 14.7691 | + | 11.1735i | 0.660493 | + | 0.499693i | ||||
\(501\) | −4.79917 | + | 1.71234i | −0.214411 | + | 0.0765018i | ||||
\(502\) | −12.8921 | + | 15.7664i | −0.575403 | + | 0.703688i | ||||
\(503\) | 28.6557 | + | 0.818626i | 1.27769 | + | 0.0365007i | 0.660809 | − | 0.750554i | \(-0.270213\pi\) |
0.616883 | + | 0.787055i | \(0.288395\pi\) | |||||||
\(504\) | −1.40371 | − | 3.60540i | −0.0625262 | − | 0.160597i | ||||
\(505\) | −21.6198 | − | 7.40851i | −0.962069 | − | 0.329675i | ||||
\(506\) | −16.0209 | − | 51.0944i | −0.712217 | − | 2.27143i | ||||
\(507\) | −6.29661 | + | 5.45605i | −0.279642 | + | 0.242312i | ||||
\(508\) | −29.4627 | − | 15.5459i | −1.30719 | − | 0.689736i | ||||
\(509\) | −18.7190 | + | 27.3757i | −0.829706 | + | 1.21341i | 0.144893 | + | 0.989447i | \(0.453716\pi\) |
−0.974599 | + | 0.223958i | \(0.928102\pi\) | |||||||
\(510\) | −9.67931 | + | 10.8165i | −0.428607 | + | 0.478963i | ||||
\(511\) | −14.0584 | + | 10.2140i | −0.621907 | + | 0.451842i | ||||
\(512\) | −13.7258 | + | 24.3052i | −0.606599 | + | 1.07415i | ||||
\(513\) | 11.9761 | − | 8.18906i | 0.528759 | − | 0.361556i | ||||
\(514\) | −51.1652 | + | 5.87066i | −2.25680 | + | 0.258944i | ||||
\(515\) | 5.33140 | + | 28.6557i | 0.234930 | + | 1.26272i | ||||
\(516\) | −1.45101 | − | 0.426055i | −0.0638772 | − | 0.0187560i | ||||
\(517\) | −6.41390 | − | 18.5794i | −0.282083 | − | 0.817123i | ||||
\(518\) | 1.28437 | + | 4.37415i | 0.0564318 | + | 0.192189i | ||||
\(519\) | 0.0152509 | + | 0.177563i | 0.000669440 | + | 0.00779415i | ||||
\(520\) | −0.605286 | + | 1.61448i | −0.0265436 | + | 0.0707998i | ||||
\(521\) | 1.44814 | − | 1.32909i | 0.0634442 | − | 0.0582285i | −0.643826 | − | 0.765172i | \(-0.722654\pi\) |
0.707270 | + | 0.706944i | \(0.249927\pi\) | |||||||
\(522\) | −33.1764 | − | 2.84953i | −1.45209 | − | 0.124720i | ||||
\(523\) | −13.7577 | + | 2.78767i | −0.601582 | + | 0.121896i | −0.489798 | − | 0.871836i | \(-0.662929\pi\) |
−0.111785 | + | 0.993732i | \(0.535657\pi\) | |||||||
\(524\) | 0.389074 | + | 1.19745i | 0.0169968 | + | 0.0523106i | ||||
\(525\) | 7.25619 | + | 4.40921i | 0.316686 | + | 0.192434i | ||||
\(526\) | 32.0905 | − | 33.0203i | 1.39921 | − | 1.43975i | ||||
\(527\) | 38.4315 | − | 5.52562i | 1.67410 | − | 0.240700i | ||||
\(528\) | −6.78950 | − | 8.48020i | −0.295475 | − | 0.369053i | ||||
\(529\) | 6.87229 | − | 47.7978i | 0.298795 | − | 2.07817i | ||||
\(530\) | −23.3502 | + | 39.8476i | −1.01427 | + | 1.73087i | ||||
\(531\) | −23.1897 | + | 18.9621i | −1.00635 | + | 0.822887i | ||||
\(532\) | 12.3960 | + | 7.47507i | 0.537436 | + | 0.324086i | ||||
\(533\) | −1.41747 | + | 1.37756i | −0.0613976 | + | 0.0596687i | ||||
\(534\) | 6.55510 | − | 8.50080i | 0.283667 | − | 0.367866i | ||||
\(535\) | −7.00957 | − | 16.0212i | −0.303050 | − | 0.692657i | ||||
\(536\) | −1.52189 | + | 0.643156i | −0.0657356 | + | 0.0277801i | ||||
\(537\) | 2.50671 | + | 10.7797i | 0.108173 | + | 0.465178i | ||||
\(538\) | 8.08116 | + | 12.5745i | 0.348404 | + | 0.542127i | ||||
\(539\) | −1.86963 | − | 4.20824i | −0.0805306 | − | 0.181262i | ||||
\(540\) | −14.3118 | − | 2.71287i | −0.615881 | − | 0.116743i | ||||
\(541\) | −15.5782 | − | 5.55829i | −0.669759 | − | 0.238970i | −0.0207894 | − | 0.999784i | \(-0.506618\pi\) |
−0.648970 | + | 0.760814i | \(0.724800\pi\) | |||||||
\(542\) | −37.8786 | + | 22.8417i | −1.62703 | + | 0.981133i | ||||
\(543\) | −1.82779 | − | 0.480443i | −0.0784381 | − | 0.0206178i | ||||
\(544\) | −35.0946 | + | 2.00678i | −1.50467 | + | 0.0860400i | ||||
\(545\) | 15.4074 | + | 32.6437i | 0.659979 | + | 1.39830i | ||||
\(546\) | 0.968909 | − | 3.68611i | 0.0414655 | − | 0.157751i | ||||
\(547\) | 16.6778 | − | 10.0571i | 0.713091 | − | 0.430010i | −0.112964 | − | 0.993599i | \(-0.536034\pi\) |
0.826055 | + | 0.563589i | \(0.190580\pi\) | |||||||
\(548\) | −6.86212 | + | 19.2324i | −0.293135 | + | 0.821569i | ||||
\(549\) | 8.11906 | + | 5.21780i | 0.346513 | + | 0.222690i | ||||
\(550\) | −30.7846 | − | 7.60462i | −1.31266 | − | 0.324262i | ||||
\(551\) | −21.7379 | + | 13.9701i | −0.926066 | + | 0.595146i | ||||
\(552\) | −0.900632 | − | 3.87302i | −0.0383334 | − | 0.164847i | ||||
\(553\) | −7.49660 | − | 17.7391i | −0.318788 | − | 0.754342i | ||||
\(554\) | −0.126551 | − | 4.42987i | −0.00537664 | − | 0.188207i | ||||
\(555\) | −1.55350 | − | 0.434985i | −0.0659422 | − | 0.0184641i | ||||
\(556\) | −9.03095 | − | 9.29263i | −0.382998 | − | 0.394095i | ||||
\(557\) | −6.20078 | − | 3.73921i | −0.262736 | − | 0.158435i | 0.378917 | − | 0.925431i | \(-0.376296\pi\) |
−0.641653 | + | 0.766995i | \(0.721751\pi\) | |||||||
\(558\) | 24.6731 | + | 30.1739i | 1.04449 | + | 1.27736i | ||||
\(559\) | −0.912809 | − | 1.18375i | −0.0386077 | − | 0.0500673i | ||||
\(560\) | 5.77804 | + | 23.5025i | 0.244167 | + | 0.993163i | ||||
\(561\) | 3.58947 | − | 10.6715i | 0.151548 | − | 0.450551i | ||||
\(562\) | 8.00682 | − | 1.15121i | 0.337747 | − | 0.0485607i | ||||
\(563\) | 22.0630 | + | 21.4417i | 0.929843 | + | 0.903659i | 0.995555 | − | 0.0941797i | \(-0.0300228\pi\) |
−0.0657121 | + | 0.997839i | \(0.520932\pi\) | |||||||
\(564\) | 1.78896 | + | 6.80592i | 0.0753289 | + | 0.286581i | ||||
\(565\) | 10.4122 | + | 12.4115i | 0.438046 | + | 0.522156i | ||||
\(566\) | 7.97151 | + | 39.3409i | 0.335067 | + | 1.65362i | ||||
\(567\) | 10.9491 | + | 0.940418i | 0.459818 | + | 0.0394938i | ||||
\(568\) | 4.02689 | + | 4.38759i | 0.168965 | + | 0.184099i | ||||
\(569\) | 29.6818 | + | 27.2418i | 1.24433 | + | 1.14203i | 0.984313 | + | 0.176429i | \(0.0564546\pi\) |
0.260014 | + | 0.965605i | \(0.416273\pi\) | |||||||
\(570\) | −10.0837 | + | 5.11640i | −0.422358 | + | 0.214302i | ||||
\(571\) | −13.2871 | + | 3.90145i | −0.556049 | + | 0.163271i | −0.547670 | − | 0.836694i | \(-0.684485\pi\) |
−0.00837836 | + | 0.999965i | \(0.502667\pi\) | |||||||
\(572\) | 0.301708 | + | 6.44116i | 0.0126150 | + | 0.269318i | ||||
\(573\) | 4.26225 | − | 14.5159i | 0.178058 | − | 0.606410i | ||||
\(574\) | −1.51488 | + | 7.47621i | −0.0632297 | + | 0.312051i | ||||
\(575\) | −32.5909 | − | 26.8341i | −1.35913 | − | 1.11906i | ||||
\(576\) | −7.09487 | − | 10.3759i | −0.295619 | − | 0.432330i | ||||
\(577\) | −0.417752 | + | 0.739743i | −0.0173912 | + | 0.0307959i | −0.879306 | − | 0.476258i | \(-0.841993\pi\) |
0.861914 | + | 0.507054i | \(0.169266\pi\) | |||||||
\(578\) | −6.09771 | − | 8.39277i | −0.253631 | − | 0.349093i | ||||
\(579\) | −2.87782 | + | 1.41493i | −0.119598 | + | 0.0588025i | ||||
\(580\) | 25.3417 | + | 5.55769i | 1.05226 | + | 0.230770i | ||||
\(581\) | 9.44148 | − | 17.8936i | 0.391698 | − | 0.742351i | ||||
\(582\) | −9.69538 | + | 8.40109i | −0.401886 | + | 0.348237i | ||||
\(583\) | 4.45057 | − | 35.5473i | 0.184324 | − | 1.47222i | ||||
\(584\) | 3.15589 | − | 3.64209i | 0.130592 | − | 0.150711i | ||||
\(585\) | −4.47214 | − | 4.75126i | −0.184900 | − | 0.196440i | ||||
\(586\) | 1.13440 | − | 39.7093i | 0.0468618 | − | 1.64038i | ||||
\(587\) | −19.3151 | + | 23.6214i | −0.797219 | + | 0.974958i | −0.999991 | − | 0.00426823i | \(-0.998641\pi\) |
0.202772 | + | 0.979226i | \(0.435005\pi\) | |||||||
\(588\) | 0.554030 | + | 1.55278i | 0.0228478 | + | 0.0640355i | ||||
\(589\) | 29.4605 | + | 6.85075i | 1.21390 | + | 0.282280i | ||||
\(590\) | 43.7800 | − | 27.1576i | 1.80240 | − | 1.11806i | ||||
\(591\) | 4.07092 | + | 2.00153i | 0.167455 | + | 0.0823321i | ||||
\(592\) | −2.26120 | − | 4.00407i | −0.0929349 | − | 0.164566i | ||||
\(593\) | 11.9206 | + | 5.44396i | 0.489521 | + | 0.223557i | 0.644855 | − | 0.764305i | \(-0.276918\pi\) |
−0.155333 | + | 0.987862i | \(0.549645\pi\) | |||||||
\(594\) | 24.3504 | − | 5.39835i | 0.999110 | − | 0.221497i | ||||
\(595\) | −17.2542 | + | 18.2071i | −0.707351 | + | 0.746419i | ||||
\(596\) | 16.1134 | + | 11.7071i | 0.660030 | + | 0.479540i | ||||
\(597\) | −1.62538 | + | 9.39219i | −0.0665225 | + | 0.384397i | ||||
\(598\) | −7.37669 | + | 17.4553i | −0.301655 | + | 0.713802i | ||||
\(599\) | −1.48985 | + | 3.82664i | −0.0608736 | + | 0.156352i | −0.959016 | − | 0.283353i | \(-0.908553\pi\) |
0.898142 | + | 0.439705i | \(0.144917\pi\) | |||||||
\(600\) | −2.23701 | − | 0.735233i | −0.0913257 | − | 0.0300157i | ||||
\(601\) | 26.6505 | + | 3.05786i | 1.08710 | + | 0.124733i | 0.638966 | − | 0.769235i | \(-0.279363\pi\) |
0.448131 | + | 0.893968i | \(0.352090\pi\) | |||||||
\(602\) | −5.48653 | − | 1.78268i | −0.223614 | − | 0.0726566i | ||||
\(603\) | 0.356943 | − | 6.24221i | 0.0145358 | − | 0.254203i | ||||
\(604\) | 32.5031 | 1.32253 | ||||||||
\(605\) | 24.2694 | − | 3.99930i | 0.986693 | − | 0.162595i | ||||
\(606\) | −14.0101 | −0.569120 | ||||||||
\(607\) | 0.785477 | − | 13.7364i | 0.0318815 | − | 0.557544i | −0.942718 | − | 0.333590i | \(-0.891740\pi\) |
0.974600 | − | 0.223954i | \(-0.0718965\pi\) | |||||||
\(608\) | −26.0436 | − | 8.46208i | −1.05621 | − | 0.343183i | ||||
\(609\) | 11.8172 | + | 1.35590i | 0.478856 | + | 0.0549437i | ||||
\(610\) | −12.6802 | − | 10.7110i | −0.513408 | − | 0.433677i | ||||
\(611\) | −2.52366 | + | 6.48197i | −0.102096 | + | 0.262232i | ||||
\(612\) | 7.59127 | − | 17.9631i | 0.306859 | − | 0.726115i | ||||
\(613\) | −7.64345 | + | 44.1673i | −0.308716 | + | 1.78390i | 0.264388 | + | 0.964416i | \(0.414830\pi\) |
−0.573104 | + | 0.819483i | \(0.694261\pi\) | |||||||
\(614\) | 47.9147 | + | 34.8121i | 1.93368 | + | 1.40490i | ||||
\(615\) | −1.95935 | − | 1.85680i | −0.0790087 | − | 0.0748733i | ||||
\(616\) | −3.10954 | − | 4.11970i | −0.125287 | − | 0.165987i | ||||
\(617\) | 0.609243 | + | 0.278232i | 0.0245272 | + | 0.0112012i | 0.427641 | − | 0.903949i | \(-0.359345\pi\) |
−0.403114 | + | 0.915150i | \(0.632072\pi\) | |||||||
\(618\) | 8.78637 | + | 15.5586i | 0.353439 | + | 0.625860i | ||||
\(619\) | 14.8404 | + | 7.29652i | 0.596485 | + | 0.293272i | 0.714384 | − | 0.699754i | \(-0.246707\pi\) |
−0.117899 | + | 0.993026i | \(0.537616\pi\) | |||||||
\(620\) | −16.0082 | − | 25.8065i | −0.642906 | − | 1.03641i | ||||
\(621\) | 32.3427 | + | 7.52097i | 1.29787 | + | 0.301806i | ||||
\(622\) | −4.14106 | − | 11.6061i | −0.166042 | − | 0.465364i | ||||
\(623\) | 11.7430 | − | 14.3611i | 0.470474 | − | 0.575365i | ||||
\(624\) | −0.109782 | + | 3.84288i | −0.00439481 | + | 0.153838i | ||||
\(625\) | −23.6025 | + | 8.24161i | −0.944098 | + | 0.329664i | ||||
\(626\) | 17.9712 | − | 20.7398i | 0.718272 | − | 0.828930i | ||||
\(627\) | 5.62184 | − | 6.73232i | 0.224515 | − | 0.268863i | ||||
\(628\) | 1.01068 | − | 0.875757i | 0.0403304 | − | 0.0349465i | ||||
\(629\) | 2.22411 | − | 4.21516i | 0.0886811 | − | 0.168069i | ||||
\(630\) | −24.5967 | − | 5.39430i | −0.979954 | − | 0.214914i | ||||
\(631\) | 16.9784 | − | 8.34771i | 0.675899 | − | 0.332317i | −0.0707894 | − | 0.997491i | \(-0.522552\pi\) |
0.746688 | + | 0.665174i | \(0.231643\pi\) | |||||||
\(632\) | 3.13926 | + | 4.32082i | 0.124873 | + | 0.171873i | ||||
\(633\) | 2.84201 | − | 5.03254i | 0.112960 | − | 0.200026i | ||||
\(634\) | 29.2078 | + | 42.7150i | 1.15999 | + | 1.69643i | ||||
\(635\) | 39.5052 | − | 21.4847i | 1.56772 | − | 0.852595i | ||||
\(636\) | −2.54716 | + | 12.5707i | −0.101001 | + | 0.498461i | ||||
\(637\) | −0.459121 | + | 1.56362i | −0.0181910 | + | 0.0619529i | ||||
\(638\) | −43.6263 | + | 8.37237i | −1.72718 | + | 0.331465i | ||||
\(639\) | −21.6240 | + | 6.34937i | −0.855431 | + | 0.251177i | ||||
\(640\) | −5.23912 | − | 10.3255i | −0.207094 | − | 0.408152i | ||||
\(641\) | 16.1885 | + | 14.8576i | 0.639406 | + | 0.586842i | 0.928897 | − | 0.370339i | \(-0.120759\pi\) |
−0.289490 | + | 0.957181i | \(0.593486\pi\) | |||||||
\(642\) | −7.24880 | − | 7.89808i | −0.286087 | − | 0.311713i | ||||
\(643\) | −3.48066 | − | 0.298954i | −0.137264 | − | 0.0117896i | 0.0167398 | − | 0.999860i | \(-0.494671\pi\) |
−0.154004 | + | 0.988070i | \(0.549217\pi\) | |||||||
\(644\) | 6.57942 | + | 32.4707i | 0.259265 | + | 1.27953i | ||||
\(645\) | 1.56398 | − | 1.31206i | 0.0615818 | − | 0.0516621i | ||||
\(646\) | −8.49217 | − | 32.3076i | −0.334120 | − | 1.27112i | ||||
\(647\) | −9.48299 | − | 9.21595i | −0.372815 | − | 0.362316i | 0.486574 | − | 0.873639i | \(-0.338246\pi\) |
−0.859389 | + | 0.511323i | \(0.829156\pi\) | |||||||
\(648\) | −3.01666 | + | 0.433730i | −0.118505 | + | 0.0170385i | ||||
\(649\) | −22.8955 | + | 32.7534i | −0.898727 | + | 1.28568i | ||||
\(650\) | 6.56532 | + | 9.10103i | 0.257513 | + | 0.356972i | ||||
\(651\) | −8.50218 | − | 11.0258i | −0.333227 | − | 0.432136i | ||||
\(652\) | −3.61164 | − | 4.41684i | −0.141443 | − | 0.172977i | ||||
\(653\) | −7.96083 | − | 4.80056i | −0.311531 | − | 0.187860i | 0.352017 | − | 0.935994i | \(-0.385496\pi\) |
−0.663549 | + | 0.748133i | \(0.730950\pi\) | |||||||
\(654\) | 15.4221 | + | 15.8690i | 0.603054 | + | 0.620528i | ||||
\(655\) | −1.63670 | − | 0.458283i | −0.0639512 | − | 0.0179066i | ||||
\(656\) | −0.219723 | − | 7.69130i | −0.00857873 | − | 0.300295i | ||||
\(657\) | 7.09916 | + | 16.7986i | 0.276965 | + | 0.655377i | ||||
\(658\) | 6.08021 | + | 26.1469i | 0.237031 | + | 1.01931i | ||||
\(659\) | −18.9817 | + | 12.1988i | −0.739421 | + | 0.475197i | −0.855344 | − | 0.518061i | \(-0.826654\pi\) |
0.115922 | + | 0.993258i | \(0.463018\pi\) | |||||||
\(660\) | −8.77221 | + | 0.773542i | −0.341458 | + | 0.0301101i | ||||
\(661\) | −21.6100 | − | 13.8879i | −0.840531 | − | 0.540176i | 0.0480774 | − | 0.998844i | \(-0.484691\pi\) |
−0.888608 | + | 0.458667i | \(0.848327\pi\) | |||||||
\(662\) | −14.5343 | + | 40.7354i | −0.564893 | + | 1.58322i | ||||
\(663\) | −3.41212 | + | 2.05758i | −0.132516 | + | 0.0799098i | ||||
\(664\) | −1.42638 | + | 5.42650i | −0.0553542 | + | 0.210589i | ||||
\(665\) | −17.6713 | + | 8.34062i | −0.685265 | + | 0.323435i | ||||
\(666\) | 4.77662 | − | 0.273137i | 0.185090 | − | 0.0105838i | ||||
\(667\) | −57.1980 | − | 15.0347i | −2.21472 | − | 0.582147i | ||||
\(668\) | −10.0827 | + | 6.08010i | −0.390112 | + | 0.235246i | ||||
\(669\) | −16.7902 | − | 5.99073i | −0.649147 | − | 0.231615i | ||||
\(670\) | −2.00268 | + | 10.5652i | −0.0773701 | + | 0.408167i | ||||
\(671\) | 12.3156 | + | 3.75458i | 0.475439 | + | 0.144944i | ||||
\(672\) | 6.81502 | + | 10.6044i | 0.262895 | + | 0.409073i | ||||
\(673\) | −6.87452 | − | 29.5627i | −0.264993 | − | 1.13956i | −0.922465 | − | 0.386081i | \(-0.873829\pi\) |
0.657472 | − | 0.753479i | \(-0.271626\pi\) | |||||||
\(674\) | −54.1916 | + | 22.9016i | −2.08738 | + | 0.882136i | ||||
\(675\) | 13.7522 | − | 14.0551i | 0.529321 | − | 0.540982i | ||||
\(676\) | −11.7560 | + | 15.2454i | −0.452154 | + | 0.586363i | ||||
\(677\) | 11.4701 | − | 11.1471i | 0.440832 | − | 0.428419i | −0.442785 | − | 0.896628i | \(-0.646010\pi\) |
0.883618 | + | 0.468209i | \(0.155101\pi\) | |||||||
\(678\) | 8.50475 | + | 5.12855i | 0.326623 | + | 0.196961i | ||||
\(679\) | −17.1627 | + | 14.0339i | −0.658644 | + | 0.538571i | ||||
\(680\) | 3.51706 | − | 6.00194i | 0.134873 | − | 0.230164i | ||||
\(681\) | −0.399889 | + | 2.78129i | −0.0153238 | + | 0.106579i | ||||
\(682\) | 42.6180 | + | 29.7911i | 1.63193 | + | 1.14076i | ||||
\(683\) | −2.01370 | + | 0.289527i | −0.0770522 | + | 0.0110784i | −0.180733 | − | 0.983532i | \(-0.557847\pi\) |
0.103681 | + | 0.994611i | \(0.466938\pi\) | |||||||
\(684\) | 10.5877 | − | 10.8945i | 0.404832 | − | 0.416562i | ||||
\(685\) | −16.4820 | − | 22.0952i | −0.629745 | − | 0.844216i | ||||
\(686\) | 11.7418 | + | 36.1375i | 0.448303 | + | 1.37974i | ||||
\(687\) | −0.270212 | + | 0.0547520i | −0.0103092 | + | 0.00208892i | ||||
\(688\) | 5.79767 | + | 0.497962i | 0.221034 | + | 0.0189846i | ||||
\(689\) | −9.34054 | + | 8.57267i | −0.355846 | + | 0.326593i | ||||
\(690\) | −24.2327 | − | 9.08511i | −0.922525 | − | 0.345864i | ||||
\(691\) | −3.42360 | − | 39.8603i | −0.130240 | − | 1.51636i | −0.711527 | − | 0.702658i | \(-0.751996\pi\) |
0.581287 | − | 0.813698i | \(-0.302549\pi\) | |||||||
\(692\) | 0.116018 | + | 0.395120i | 0.00441034 | + | 0.0150202i | ||||
\(693\) | 19.1825 | − | 3.68134i | 0.728683 | − | 0.139843i | ||||
\(694\) | −17.1931 | − | 5.04834i | −0.652640 | − | 0.191632i | ||||
\(695\) | 17.1973 | − | 3.19956i | 0.652332 | − | 0.121366i | ||||
\(696\) | −3.27725 | + | 0.376029i | −0.124224 | + | 0.0142533i | ||||
\(697\) | 6.58291 | − | 4.50128i | 0.249345 | − | 0.170498i | ||||
\(698\) | −6.45948 | + | 11.4383i | −0.244495 | + | 0.432944i | ||||
\(699\) | −0.763917 | + | 0.555018i | −0.0288940 | + | 0.0209927i | ||||
\(700\) | 18.4560 | + | 6.65563i | 0.697573 | + | 0.251559i | ||||
\(701\) | 25.7399 | − | 37.6433i | 0.972181 | − | 1.42177i | 0.0665115 | − | 0.997786i | \(-0.478813\pi\) |
0.905670 | − | 0.423984i | \(-0.139369\pi\) | |||||||
\(702\) | −7.80661 | − | 4.11913i | −0.294642 | − | 0.155466i | ||||
\(703\) | 2.80590 | − | 2.43133i | 0.105827 | − | 0.0916993i | ||||
\(704\) | −12.8712 | − | 10.7481i | −0.485102 | − | 0.405085i | ||||
\(705\) | −8.98661 | − | 3.07946i | −0.338455 | − | 0.115979i | ||||
\(706\) | 12.6226 | + | 32.4208i | 0.475056 | + | 1.22017i | ||||
\(707\) | −24.2015 | − | 0.691380i | −0.910189 | − | 0.0260020i | ||||
\(708\) | 9.05684 | − | 11.0760i | 0.340377 | − | 0.416263i | ||||
\(709\) | 26.9118 | − | 9.60212i | 1.01069 | − | 0.360615i | 0.221766 | − | 0.975100i | \(-0.428818\pi\) |
0.788929 | + | 0.614485i | \(0.210636\pi\) | |||||||
\(710\) | 38.2933 | − | 5.99863i | 1.43712 | − | 0.225125i | ||||
\(711\) | −19.9151 | + | 3.44645i | −0.746875 | + | 0.129252i | ||||
\(712\) | −2.26996 | + | 4.61687i | −0.0850704 | + | 0.173024i | ||||
\(713\) | 34.0411 | + | 60.2790i | 1.27485 | + | 2.25746i | ||||
\(714\) | −6.38789 | + | 13.9875i | −0.239061 | + | 0.523470i | ||||
\(715\) | −7.46441 | − | 4.47809i | −0.279153 | − | 0.167471i | ||||
\(716\) | 10.6234 | + | 23.2620i | 0.397015 | + | 0.869342i | ||||
\(717\) | 6.20023 | − | 8.53389i | 0.231552 | − | 0.318704i | ||||
\(718\) | −8.49044 | + | 49.0616i | −0.316860 | + | 1.83096i | ||||
\(719\) | 23.3527 | + | 9.86894i | 0.870910 | + | 0.368049i | 0.778480 | − | 0.627670i | \(-0.215991\pi\) |
0.0924299 | + | 0.995719i | \(0.470537\pi\) | |||||||
\(720\) | 25.3981 | − | 0.319707i | 0.946531 | − | 0.0119148i | ||||
\(721\) | 14.4101 | + | 27.3101i | 0.536659 | + | 1.01708i | ||||
\(722\) | −1.17507 | + | 10.2412i | −0.0437316 | + | 0.381139i | ||||
\(723\) | 12.0259 | + | 3.90746i | 0.447250 | + | 0.145320i | ||||
\(724\) | −4.35979 | − | 0.249302i | −0.162030 | − | 0.00926522i | ||||
\(725\) | −25.1982 | + | 24.3233i | −0.935838 | + | 0.903344i | ||||
\(726\) | 13.2796 | − | 7.14219i | 0.492854 | − | 0.265072i | ||||
\(727\) | 11.5424i | 0.428085i | 0.976824 | + | 0.214042i | \(0.0686631\pi\) | ||||
−0.976824 | + | 0.214042i | \(0.931337\pi\) | |||||||
\(728\) | −0.104280 | + | 1.82365i | −0.00386487 | + | 0.0675889i | ||||
\(729\) | 0.950373 | − | 2.92495i | 0.0351990 | − | 0.108331i | ||||
\(730\) | −8.35482 | − | 30.2321i | −0.309226 | − | 1.11894i | ||||
\(731\) | 2.81446 | + | 5.33400i | 0.104097 | + | 0.197285i | ||||
\(732\) | −4.29557 | − | 1.67242i | −0.158769 | − | 0.0618143i | ||||
\(733\) | 19.1541 | − | 45.3240i | 0.707472 | − | 1.67408i | −0.0307546 | − | 0.999527i | \(-0.509791\pi\) |
0.738227 | − | 0.674553i | \(-0.235664\pi\) | |||||||
\(734\) | 5.45522 | + | 0.944063i | 0.201356 | + | 0.0348460i | ||||
\(735\) | −2.15940 | − | 0.538643i | −0.0796507 | − | 0.0198681i | ||||
\(736\) | −26.0360 | − | 57.0110i | −0.959701 | − | 2.10145i | ||||
\(737\) | −1.80534 | − | 8.14339i | −0.0665007 | − | 0.299966i | ||||
\(738\) | 7.28219 | + | 3.32566i | 0.268061 | + | 0.122419i | ||||
\(739\) | −14.1321 | + | 7.98077i | −0.519858 | + | 0.293577i | −0.729242 | − | 0.684256i | \(-0.760127\pi\) |
0.209384 | + | 0.977834i | \(0.432854\pi\) | |||||||
\(740\) | −3.71774 | − | 0.272224i | −0.136667 | − | 0.0100072i | ||||
\(741\) | −3.05852 | + | 0.529297i | −0.112357 | + | 0.0194442i | ||||
\(742\) | −11.0821 | + | 47.6567i | −0.406836 | + | 1.74953i | ||||
\(743\) | −9.89707 | − | 27.7385i | −0.363088 | − | 1.01763i | −0.974122 | − | 0.226022i | \(-0.927428\pi\) |
0.611034 | − | 0.791604i | \(-0.290754\pi\) | |||||||
\(744\) | 2.98920 | + | 2.44426i | 0.109589 | + | 0.0896109i | ||||
\(745\) | −25.2075 | + | 9.35333i | −0.923531 | + | 0.342680i | ||||
\(746\) | −16.6046 | − | 42.6485i | −0.607936 | − | 1.56147i | ||||
\(747\) | −16.0468 | − | 13.9046i | −0.587121 | − | 0.508744i | ||||
\(748\) | 3.23199 | − | 25.8144i | 0.118173 | − | 0.943868i | ||||
\(749\) | −12.1321 | − | 14.0011i | −0.443296 | − | 0.511590i | ||||
\(750\) | −12.0498 | + | 9.46986i | −0.439996 | + | 0.345790i | ||||
\(751\) | −11.6612 | + | 17.0540i | −0.425525 | + | 0.622310i | −0.977345 | − | 0.211653i | \(-0.932115\pi\) |
0.551820 | + | 0.833963i | \(0.313933\pi\) | |||||||
\(752\) | −11.9473 | − | 24.2997i | −0.435675 | − | 0.886118i | ||||
\(753\) | −4.48783 | − | 6.17697i | −0.163546 | − | 0.225101i | ||||
\(754\) | 13.6888 | + | 7.73043i | 0.498518 | + | 0.281526i | ||||
\(755\) | −24.3081 | + | 36.5280i | −0.884664 | + | 1.32939i | ||||
\(756\) | −15.3312 | + | 1.75909i | −0.557591 | + | 0.0639776i | ||||
\(757\) | −18.8255 | − | 3.81454i | −0.684225 | − | 0.138642i | −0.156013 | − | 0.987755i | \(-0.549864\pi\) |
−0.528211 | + | 0.849113i | \(0.677137\pi\) | |||||||
\(758\) | −12.2353 | + | 41.6695i | −0.444405 | + | 1.51351i | ||||
\(759\) | 20.0525 | − | 0.939270i | 0.727858 | − | 0.0340933i | ||||
\(760\) | 4.24950 | − | 3.36299i | 0.154146 | − | 0.121989i | ||||
\(761\) | −3.00025 | − | 34.9313i | −0.108759 | − | 1.26626i | −0.823681 | − | 0.567053i | \(-0.808083\pi\) |
0.714922 | − | 0.699204i | \(-0.246462\pi\) | |||||||
\(762\) | 18.6404 | − | 20.3101i | 0.675271 | − | 0.735757i | ||||
\(763\) | 25.8576 | + | 28.1737i | 0.936109 | + | 1.01996i | ||||
\(764\) | 2.99150 | − | 34.8294i | 0.108229 | − | 1.26008i | ||||
\(765\) | 14.5102 | + | 21.9654i | 0.524616 | + | 0.794160i | ||||
\(766\) | 9.21066 | + | 28.3475i | 0.332795 | + | 1.02424i | ||||
\(767\) | 13.6778 | − | 3.59527i | 0.493877 | − | 0.129818i | ||||
\(768\) | −10.2886 | − | 9.99886i | −0.371257 | − | 0.360803i | ||||
\(769\) | −1.62869 | − | 11.3278i | −0.0587321 | − | 0.408491i | −0.997886 | − | 0.0649934i | \(-0.979297\pi\) |
0.939154 | − | 0.343498i | \(-0.111612\pi\) | |||||||
\(770\) | −33.5341 | + | 1.99405i | −1.20848 | + | 0.0718607i | ||||
\(771\) | 2.74771 | − | 19.1108i | 0.0989564 | − | 0.688257i | ||||
\(772\) | −5.86799 | + | 4.52490i | −0.211194 | + | 0.162855i | ||||
\(773\) | 18.8790 | + | 23.0880i | 0.679029 | + | 0.830418i | 0.992888 | − | 0.119052i | \(-0.0379854\pi\) |
−0.313859 | + | 0.949470i | \(0.601622\pi\) | |||||||
\(774\) | −3.12646 | + | 5.18465i | −0.112378 | + | 0.186358i | ||||
\(775\) | 40.9742 | + | 1.30939i | 1.47184 | + | 0.0470346i | ||||
\(776\) | 3.75450 | − | 4.86892i | 0.134779 | − | 0.174784i | ||||
\(777\) | −1.70837 | + | 0.0488041i | −0.0612873 | + | 0.00175084i | ||||
\(778\) | −6.60864 | − | 15.6379i | −0.236931 | − | 0.560646i | ||||
\(779\) | 6.05098 | − | 1.40710i | 0.216799 | − | 0.0504144i | ||||
\(780\) | 2.54414 | + | 1.79994i | 0.0910948 | + | 0.0644481i | ||||
\(781\) | −25.4591 | + | 15.9930i | −0.910997 | + | 0.572273i | ||||
\(782\) | 41.3351 | − | 64.3186i | 1.47814 | − | 2.30003i | ||||
\(783\) | 9.25719 | − | 25.9451i | 0.330825 | − | 0.927202i | ||||
\(784\) | −3.27593 | − | 5.43252i | −0.116998 | − | 0.194019i | ||||
\(785\) | 0.228345 | + | 1.79078i | 0.00814999 | + | 0.0639158i | ||||
\(786\) | −1.04023 | + | 0.0594826i | −0.0371038 | + | 0.00212167i | ||||
\(787\) | −1.33637 | − | 23.3704i | −0.0476365 | − | 0.833066i | −0.931145 | − | 0.364650i | \(-0.881189\pi\) |
0.883508 | − | 0.468416i | \(-0.155175\pi\) | |||||||
\(788\) | 10.1377 | + | 2.66473i | 0.361140 | + | 0.0949270i | ||||
\(789\) | 8.91400 | + | 14.7822i | 0.317347 | + | 0.526261i | ||||
\(790\) | 34.7309 | − | 1.42988i | 1.23567 | − | 0.0508730i | ||||
\(791\) | 14.4383 | + | 9.27893i | 0.513367 | + | 0.329921i | ||||
\(792\) | −4.95037 | + | 2.19934i | −0.175904 | + | 0.0781503i | ||||
\(793\) | −2.46341 | − | 3.83314i | −0.0874782 | − | 0.136119i | ||||
\(794\) | −55.9053 | + | 13.0002i | −1.98401 | + | 0.461361i | ||||
\(795\) | −12.2224 | − | 12.2639i | −0.433484 | − | 0.434954i | ||||
\(796\) | 0.628944 | + | 22.0159i | 0.0222923 | + | 0.780334i | ||||
\(797\) | 13.0980 | + | 10.1001i | 0.463955 | + | 0.357762i | 0.815837 | − | 0.578282i | \(-0.196277\pi\) |
−0.351883 | + | 0.936044i | \(0.614458\pi\) | |||||||
\(798\) | −8.59053 | + | 8.34862i | −0.304102 | + | 0.295538i | ||||
\(799\) | 14.4923 | − | 24.0328i | 0.512701 | − | 0.850219i | ||||
\(800\) | −36.8586 | − | 4.35561i | −1.30315 | − | 0.153994i | ||||
\(801\) | −11.8887 | − | 15.4176i | −0.420068 | − | 0.544753i | ||||
\(802\) | 50.8064 | + | 7.30485i | 1.79404 | + | 0.257943i | ||||
\(803\) | 15.2058 | + | 18.9923i | 0.536600 | + | 0.670222i | ||||
\(804\) | 0.424998 | + | 2.95593i | 0.0149885 | + | 0.104247i | ||||
\(805\) | −41.4121 | − | 16.8898i | −1.45959 | − | 0.595286i | ||||
\(806\) | −4.67807 | − | 17.7972i | −0.164778 | − | 0.626881i | ||||
\(807\) | −5.32939 | + | 1.73162i | −0.187603 | + | 0.0609561i | ||||
\(808\) | 6.58077 | − | 1.33344i | 0.231511 | − | 0.0469101i | ||||
\(809\) | −2.14827 | + | 25.0119i | −0.0755292 | + | 0.879371i | 0.856301 | + | 0.516477i | \(0.172757\pi\) |
−0.931830 | + | 0.362894i | \(0.881789\pi\) | |||||||
\(810\) | −8.52714 | + | 17.9092i | −0.299613 | + | 0.629264i | ||||
\(811\) | −30.9588 | − | 28.4137i | −1.08711 | − | 0.997741i | −0.999999 | − | 0.00154196i | \(-0.999509\pi\) |
−0.0871112 | − | 0.996199i | \(-0.527764\pi\) | |||||||
\(812\) | 27.3840 | − | 2.35202i | 0.960991 | − | 0.0825396i | ||||
\(813\) | −4.67183 | − | 15.9108i | −0.163848 | − | 0.558016i | ||||
\(814\) | 6.03333 | − | 2.08280i | 0.211468 | − | 0.0730020i | ||||
\(815\) | 7.66482 | − | 0.755632i | 0.268487 | − | 0.0264686i | ||||
\(816\) | 3.08029 | − | 15.2018i | 0.107832 | − | 0.532171i | ||||
\(817\) | 0.535557 | + | 4.66760i | 0.0187368 | + | 0.163299i | ||||
\(818\) | 27.5543 | − | 18.8412i | 0.963415 | − | 0.658766i | ||||
\(819\) | −6.01899 | − | 3.39908i | −0.210321 | − | 0.118773i | ||||
\(820\) | −5.28930 | − | 3.30590i | −0.184710 | − | 0.115447i | ||||
\(821\) | −43.1586 | + | 21.2197i | −1.50625 | + | 0.740571i | −0.993049 | − | 0.117700i | \(-0.962448\pi\) |
−0.513197 | + | 0.858271i | \(0.671539\pi\) | |||||||
\(822\) | −13.9491 | − | 9.53817i | −0.486532 | − | 0.332682i | ||||
\(823\) | 28.5091 | + | 15.0427i | 0.993764 | + | 0.524356i | 0.882941 | − | 0.469485i | \(-0.155560\pi\) |
0.110824 | + | 0.993840i | \(0.464651\pi\) | |||||||
\(824\) | −5.60793 | − | 6.47190i | −0.195362 | − | 0.225459i | ||||
\(825\) | 5.69115 | − | 10.4370i | 0.198141 | − | 0.363369i | ||||
\(826\) | 35.7417 | − | 41.2481i | 1.24361 | − | 1.43521i | ||||
\(827\) | −13.3627 | + | 5.20258i | −0.464668 | + | 0.180912i | −0.583684 | − | 0.811981i | \(-0.698389\pi\) |
0.119017 | + | 0.992892i | \(0.462026\pi\) | |||||||
\(828\) | 34.7560 | + | 0.992899i | 1.20785 | + | 0.0345056i | ||||
\(829\) | −11.6497 | − | 9.52594i | −0.404612 | − | 0.330849i | 0.408709 | − | 0.912665i | \(-0.365979\pi\) |
−0.813321 | + | 0.581815i | \(0.802343\pi\) | |||||||
\(830\) | 24.2595 | + | 27.2951i | 0.842060 | + | 0.947426i | ||||
\(831\) | 1.61822 | + | 0.376302i | 0.0561355 | + | 0.0130538i | ||||
\(832\) | 1.01194 | + | 5.84743i | 0.0350826 | + | 0.202723i | ||||
\(833\) | 2.90098 | − | 5.90031i | 0.100513 | − | 0.204433i | ||||
\(834\) | 9.33729 | − | 5.27301i | 0.323324 | − | 0.182589i | ||||
\(835\) | 0.707575 | − | 15.8784i | 0.0244867 | − | 0.549494i | ||||
\(836\) | 9.64221 | − | 17.8261i | 0.333483 | − | 0.616530i | ||||
\(837\) | −29.3310 | + | 13.3950i | −1.01383 | + | 0.463000i | ||||
\(838\) | 24.2857 | − | 33.4264i | 0.838935 | − | 1.15470i | ||||
\(839\) | −0.376015 | − | 0.0650719i | −0.0129815 | − | 0.00224653i | 0.164028 | − | 0.986456i | \(-0.447551\pi\) |
−0.177009 | + | 0.984209i | \(0.556642\pi\) | |||||||
\(840\) | −2.49428 | − | 0.0398439i | −0.0860608 | − | 0.00137475i | ||||
\(841\) | −7.27896 | + | 18.6959i | −0.250999 | + | 0.644685i | ||||
\(842\) | −41.7922 | + | 22.0515i | −1.44025 | + | 0.759944i | ||||
\(843\) | −0.345686 | + | 3.01279i | −0.0119061 | + | 0.103766i | ||||
\(844\) | 4.12684 | − | 12.7011i | 0.142052 | − | 0.437190i | ||||
\(845\) | −8.34131 | − | 24.6134i | −0.286950 | − | 0.846726i | ||||
\(846\) | 28.1731 | 0.968610 | ||||||||
\(847\) | 23.2922 | − | 11.6823i | 0.800328 | − | 0.401410i | ||||
\(848\) | − | 49.3535i | − | 1.69481i | ||||||
\(849\) | −15.0238 | − | 0.859091i | −0.515615 | − | 0.0294839i | ||||
\(850\) | −19.8390 | − | 40.6980i | −0.680473 | − | 1.39593i | ||||
\(851\) | 8.44214 | + | 0.968645i | 0.289393 | + | 0.0332047i | ||||
\(852\) | 9.52023 | − | 5.02331i | 0.326158 | − | 0.172096i | ||||
\(853\) | 20.5874 | + | 8.01542i | 0.704900 | + | 0.274443i | 0.688307 | − | 0.725420i | \(-0.258354\pi\) |
0.0165933 | + | 0.999862i | \(0.494718\pi\) | |||||||
\(854\) | −16.1975 | − | 6.84512i | −0.554267 | − | 0.234235i | ||||
\(855\) | 4.32532 | + | 20.0465i | 0.147923 | + | 0.685576i | ||||
\(856\) | 4.15660 | + | 3.01995i | 0.142070 | + | 0.103220i | ||||
\(857\) | 2.90450 | − | 1.32644i | 0.0992160 | − | 0.0453104i | −0.365189 | − | 0.930933i | \(-0.618996\pi\) |
0.464405 | + | 0.885623i | \(0.346268\pi\) | |||||||
\(858\) | −5.21868 | − | 1.11359i | −0.178163 | − | 0.0380175i | ||||
\(859\) | −6.95227 | + | 15.2233i | −0.237208 | + | 0.519414i | −0.990374 | − | 0.138417i | \(-0.955799\pi\) |
0.753166 | + | 0.657831i | \(0.228526\pi\) | |||||||
\(860\) | 2.93981 | − | 3.68903i | 0.100247 | − | 0.125795i | ||||
\(861\) | −2.56632 | − | 1.26177i | −0.0874598 | − | 0.0430011i | ||||
\(862\) | −0.178221 | − | 1.02984i | −0.00607023 | − | 0.0350765i | ||||
\(863\) | 6.66526 | − | 28.6629i | 0.226888 | − | 0.975695i | −0.729589 | − | 0.683886i | \(-0.760288\pi\) |
0.956477 | − | 0.291809i | \(-0.0942570\pi\) | |||||||
\(864\) | 27.4953 | − | 9.81032i | 0.935410 | − | 0.333754i | ||||
\(865\) | −0.530815 | − | 0.165115i | −0.0180482 | − | 0.00561408i | ||||
\(866\) | 1.39973 | − | 48.9971i | 0.0475649 | − | 1.66499i | ||||
\(867\) | 3.62415 | − | 1.41101i | 0.123083 | − | 0.0479205i | ||||
\(868\) | −24.3140 | − | 21.0682i | −0.825272 | − | 0.715102i | ||||
\(869\) | −24.3179 | + | 11.6464i | −0.824928 | + | 0.395078i | ||||
\(870\) | −9.77940 | + | 19.1131i | −0.331553 | + | 0.647995i | ||||
\(871\) | −1.37754 | + | 2.61073i | −0.0466761 | + | 0.0884611i | ||||
\(872\) | −8.75441 | − | 5.98612i | −0.296462 | − | 0.202715i | ||||
\(873\) | 10.2660 | + | 20.8799i | 0.347450 | + | 0.706678i | ||||
\(874\) | 48.1852 | − | 35.0086i | 1.62989 | − | 1.18418i | ||||
\(875\) | −21.2825 | + | 15.7639i | −0.719481 | + | 0.532917i | ||||
\(876\) | −4.91660 | − | 7.19030i | −0.166117 | − | 0.242938i | ||||
\(877\) | 0.0341319 | + | 0.297473i | 0.00115255 | + | 0.0100450i | 0.994045 | − | 0.108967i | \(-0.0347544\pi\) |
−0.992893 | + | 0.119012i | \(0.962027\pi\) | |||||||
\(878\) | 63.0032 | + | 12.7661i | 2.12625 | + | 0.430835i | ||||
\(879\) | 14.2895 | + | 4.19578i | 0.481973 | + | 0.141520i | ||||
\(880\) | 32.4909 | − | 9.62049i | 1.09527 | − | 0.324307i | ||||
\(881\) | 39.3394 | − | 11.5511i | 1.32538 | − | 0.389166i | 0.458947 | − | 0.888463i | \(-0.348227\pi\) |
0.866431 | + | 0.499297i | \(0.166408\pi\) | |||||||
\(882\) | 6.57618 | − | 0.564829i | 0.221432 | − | 0.0190188i | ||||
\(883\) | −4.05262 | + | 4.41562i | −0.136382 | + | 0.148598i | −0.801176 | − | 0.598429i | \(-0.795792\pi\) |
0.664794 | + | 0.747026i | \(0.268519\pi\) | |||||||
\(884\) | −6.78308 | + | 6.22546i | −0.228140 | + | 0.209385i | ||||
\(885\) | 5.67424 | + | 18.4618i | 0.190738 | + | 0.620587i | ||||
\(886\) | 6.99650 | + | 34.5291i | 0.235052 | + | 1.16003i | ||||
\(887\) | −20.1687 | + | 6.55322i | −0.677200 | + | 0.220036i | −0.627369 | − | 0.778722i | \(-0.715868\pi\) |
−0.0498308 | + | 0.998758i | \(0.515868\pi\) | |||||||
\(888\) | 0.458401 | − | 0.120493i | 0.0153829 | − | 0.00404347i | ||||
\(889\) | 33.2024 | − | 34.1644i | 1.11357 | − | 1.14584i | ||||
\(890\) | 16.8309 | + | 28.9466i | 0.564173 | + | 0.970291i | ||||
\(891\) | 0.597958 | − | 15.3744i | 0.0200323 | − | 0.515063i | ||||
\(892\) | −40.7730 | − | 5.86227i | −1.36518 | − | 0.196283i | ||||
\(893\) | 17.3129 | − | 13.3503i | 0.579356 | − | 0.446750i | ||||
\(894\) | −12.7597 | + | 10.4335i | −0.426747 | + | 0.348949i | ||||
\(895\) | −34.0875 | − | 5.45809i | −1.13942 | − | 0.182444i | ||||
\(896\) | −8.54887 | − | 8.79658i | −0.285598 | − | 0.293873i | ||||
\(897\) | −5.62585 | − | 4.33818i | −0.187842 | − | 0.144848i | ||||
\(898\) | 72.1627 | − | 2.06152i | 2.40810 | − | 0.0687939i | ||||
\(899\) | 52.9001 | − | 22.3558i | 1.76432 | − | 0.745606i | ||||
\(900\) | 11.1906 | − | 17.2840i | 0.373020 | − | 0.576132i | ||||
\(901\) | 43.0312 | − | 27.6545i | 1.43358 | − | 0.921304i | ||||
\(902\) | 10.5551 | + | 1.62887i | 0.351446 | + | 0.0542354i | ||||
\(903\) | 1.16925 | − | 1.81938i | 0.0389101 | − | 0.0605453i | ||||
\(904\) | −4.48295 | − | 1.59951i | −0.149101 | − | 0.0531990i | ||||
\(905\) | 3.54073 | − | 4.71321i | 0.117698 | − | 0.156672i | ||||
\(906\) | −6.83788 | + | 26.0140i | −0.227173 | + | 0.864257i | ||||
\(907\) | −0.323669 | − | 5.66032i | −0.0107472 | − | 0.187948i | −0.999310 | − | 0.0371386i | \(-0.988176\pi\) |
0.988563 | − | 0.150809i | \(-0.0481879\pi\) | |||||||
\(908\) | 0.370663 | + | 6.48216i | 0.0123009 | + | 0.215118i | ||||
\(909\) | −6.45956 | + | 24.5747i | −0.214250 | + | 0.815092i | ||||
\(910\) | 9.50513 | + | 7.14059i | 0.315092 | + | 0.236708i | ||||
\(911\) | 5.70328 | + | 2.03493i | 0.188958 | + | 0.0674201i | 0.428833 | − | 0.903384i | \(-0.358925\pi\) |
−0.239875 | + | 0.970804i | \(0.577107\pi\) | |||||||
\(912\) | 6.53263 | − | 10.1650i | 0.216317 | − | 0.336596i | ||||
\(913\) | −25.6436 | − | 12.0322i | −0.848678 | − | 0.398207i | ||||
\(914\) | −44.3546 | + | 28.5050i | −1.46712 | + | 0.942860i | ||||
\(915\) | 5.09204 | − | 3.57673i | 0.168338 | − | 0.118243i | ||||
\(916\) | −0.586811 | + | 0.247989i | −0.0193888 | + | 0.00819377i | ||||
\(917\) | −1.79987 | + | 0.0514181i | −0.0594368 | + | 0.00169797i | ||||
\(918\) | 28.2013 | + | 21.7464i | 0.930781 | + | 0.717739i | ||||
\(919\) | −21.2745 | − | 21.8910i | −0.701782 | − | 0.722116i | 0.268718 | − | 0.963219i | \(-0.413400\pi\) |
−0.970500 | + | 0.241103i | \(0.922491\pi\) | |||||||
\(920\) | 12.2472 | + | 1.96103i | 0.403779 | + | 0.0646532i | ||||
\(921\) | −17.1885 | + | 14.0550i | −0.566380 | + | 0.463127i | ||||
\(922\) | 1.42291 | − | 1.09723i | 0.0468610 | − | 0.0361352i | ||||
\(923\) | 10.5317 | + | 1.51423i | 0.346656 | + | 0.0498416i | ||||
\(924\) | −8.63042 | + | 3.54279i | −0.283920 | + | 0.116549i | ||||
\(925\) | 3.08632 | − | 3.97452i | 0.101478 | − | 0.130681i | ||||
\(926\) | −19.4028 | + | 19.9650i | −0.637614 | + | 0.656089i | ||||
\(927\) | 31.3421 | − | 8.23841i | 1.02941 | − | 0.270585i | ||||
\(928\) | −49.4496 | + | 16.0672i | −1.62326 | + | 0.527430i | ||||
\(929\) | 4.39991 | + | 21.7144i | 0.144356 | + | 0.712427i | 0.985236 | + | 0.171204i | \(0.0547658\pi\) |
−0.840879 | + | 0.541223i | \(0.817961\pi\) | |||||||
\(930\) | 24.0221 | − | 7.38319i | 0.787714 | − | 0.242104i | ||||
\(931\) | 3.77355 | − | 3.46333i | 0.123673 | − | 0.113506i | ||||
\(932\) | −1.47532 | + | 1.60747i | −0.0483258 | + | 0.0526544i | ||||
\(933\) | 4.60277 | − | 0.395332i | 0.150688 | − | 0.0129426i | ||||
\(934\) | −28.3896 | + | 8.33593i | −0.928935 | + | 0.272760i | ||||
\(935\) | 26.5939 | + | 22.9381i | 0.869712 | + | 0.750155i | ||||
\(936\) | 1.83937 | + | 0.540088i | 0.0601217 | + | 0.0176533i | ||||
\(937\) | −48.1096 | − | 9.74827i | −1.57167 | − | 0.318462i | −0.667162 | − | 0.744913i | \(-0.732491\pi\) |
−0.904511 | + | 0.426451i | \(0.859764\pi\) | |||||||
\(938\) | 1.29859 | + | 11.3177i | 0.0424004 | + | 0.369536i | ||||
\(939\) | 5.80703 | + | 8.49250i | 0.189505 | + | 0.277142i | ||||
\(940\) | −21.7647 | − | 2.85016i | −0.709885 | − | 0.0929619i | ||||
\(941\) | 6.58391 | − | 4.78349i | 0.214629 | − | 0.155937i | −0.475276 | − | 0.879837i | \(-0.657652\pi\) |
0.689906 | + | 0.723899i | \(0.257652\pi\) | |||||||
\(942\) | 0.488293 | + | 0.993138i | 0.0159095 | + | 0.0323582i | ||||
\(943\) | 11.7371 | + | 8.02564i | 0.382213 | + | 0.261351i | ||||
\(944\) | −25.6917 | + | 48.6911i | −0.836193 | + | 1.58476i | ||||
\(945\) | 9.48886 | − | 18.5453i | 0.308672 | − | 0.603277i | ||||
\(946\) | −2.13375 | + | 7.78996i | −0.0693742 | + | 0.253273i | ||||
\(947\) | 4.34489 | + | 3.76487i | 0.141190 | + | 0.122342i | 0.722592 | − | 0.691274i | \(-0.242950\pi\) |
−0.581402 | + | 0.813616i | \(0.697496\pi\) | |||||||
\(948\) | 8.99565 | − | 3.50233i | 0.292165 | − | 0.113750i | ||||
\(949\) | 0.245869 | − | 8.60652i | 0.00798123 | − | 0.279379i | ||||
\(950\) | −2.89929 | − | 35.1513i | −0.0940655 | − | 1.14046i | ||||
\(951\) | −18.2711 | + | 6.51910i | −0.592480 | + | 0.211396i | ||||
\(952\) | 1.66921 | − | 7.17816i | 0.0540994 | − | 0.232646i | ||||
\(953\) | −4.25410 | − | 24.5821i | −0.137804 | − | 0.796293i | −0.970235 | − | 0.242165i | \(-0.922143\pi\) |
0.832431 | − | 0.554128i | \(-0.186948\pi\) | |||||||
\(954\) | 46.0810 | + | 22.6565i | 1.49193 | + | 0.733532i | ||||
\(955\) | 36.9050 | + | 29.4098i | 1.19422 | + | 0.951679i | ||||
\(956\) | 10.1254 | − | 22.1715i | 0.327478 | − | 0.717076i | ||||
\(957\) | 1.12216 | − | 16.6157i | 0.0362742 | − | 0.537111i | ||||
\(958\) | 33.5643 | − | 15.3283i | 1.08441 | − | 0.495235i | ||||
\(959\) | −23.6255 | − | 17.1649i | −0.762907 | − | 0.554285i | ||||
\(960\) | −7.92215 | + | 1.70932i | −0.255686 | + | 0.0551680i | ||||
\(961\) | −33.3667 | − | 14.1009i | −1.07635 | − | 0.454867i | ||||
\(962\) | −2.10490 | − | 0.819512i | −0.0678646 | − | 0.0264221i | ||||
\(963\) | −17.1960 | + | 9.07341i | −0.554134 | + | 0.292387i | ||||
\(964\) | 29.0276 | + | 3.33061i | 0.934918 | + | 0.107272i | ||||
\(965\) | −0.696712 | − | 9.97866i | −0.0224279 | − | 0.321225i | ||||
\(966\) | −27.3722 | − | 1.56520i | −0.880687 | − | 0.0503595i | ||||
\(967\) | 45.0599i | 1.44903i | 0.689260 | + | 0.724514i | \(0.257936\pi\) | ||||
−0.689260 | + | 0.724514i | \(0.742064\pi\) | |||||||
\(968\) | −5.55790 | + | 4.61873i | −0.178638 | + | 0.148452i | ||||
\(969\) | 12.5233 | 0.402306 | ||||||||
\(970\) | −12.8438 | − | 37.8991i | −0.412388 | − | 1.21687i | ||||
\(971\) | −8.19421 | + | 25.2192i | −0.262965 | + | 0.809323i | 0.729190 | + | 0.684311i | \(0.239897\pi\) |
−0.992155 | + | 0.125012i | \(0.960103\pi\) | |||||||
\(972\) | −2.85569 | + | 24.8885i | −0.0915962 | + | 0.798298i | ||||
\(973\) | 16.3898 | − | 8.64799i | 0.525432 | − | 0.277242i | ||||
\(974\) | −1.91455 | + | 4.91748i | −0.0613461 | + | 0.157566i | ||||
\(975\) | −3.92551 | + | 1.51306i | −0.125717 | + | 0.0484566i | ||||
\(976\) | 17.4776 | + | 3.02461i | 0.559443 | + | 0.0968154i | ||||
\(977\) | 23.1418 | − | 31.8520i | 0.740373 | − | 1.01904i | −0.258224 | − | 0.966085i | \(-0.583137\pi\) |
0.998597 | − | 0.0529514i | \(-0.0168628\pi\) | |||||||
\(978\) | 4.29484 | − | 1.96139i | 0.137334 | − | 0.0627183i | ||||
\(979\) | −20.8540 | − | 15.4824i | −0.666496 | − | 0.494819i | ||||
\(980\) | −5.13747 | − | 0.228937i | −0.164110 | − | 0.00731312i | ||||
\(981\) | 34.9461 | − | 19.7350i | 1.11574 | − | 0.630089i | ||||
\(982\) | 0.0791985 | − | 0.161082i | 0.00252733 | − | 0.00514032i | ||||
\(983\) | 4.36440 | + | 25.2195i | 0.139203 | + | 0.804376i | 0.969138 | + | 0.246517i | \(0.0792861\pi\) |
−0.829936 | + | 0.557859i | \(0.811623\pi\) | |||||||
\(984\) | 0.772475 | + | 0.179631i | 0.0246256 | + | 0.00572644i | ||||
\(985\) | −10.5764 | + | 9.40015i | −0.336992 | + | 0.299514i | ||||
\(986\) | −49.1014 | − | 40.1501i | −1.56371 | − | 1.27864i | ||||
\(987\) | −10.0597 | − | 0.287383i | −0.320204 | − | 0.00914750i | ||||
\(988\) | −6.68360 | + | 2.60216i | −0.212634 | + | 0.0827858i | ||||
\(989\) | −7.04175 | + | 8.12662i | −0.223915 | + | 0.258411i | ||||
\(990\) | −5.93289 | + | 34.7530i | −0.188560 | + | 1.10452i | ||||
\(991\) | 35.0250 | + | 40.4210i | 1.11261 | + | 1.28402i | 0.955030 | + | 0.296510i | \(0.0958229\pi\) |
0.157577 | + | 0.987507i | \(0.449632\pi\) | |||||||
\(992\) | 53.8279 | + | 28.4020i | 1.70904 | + | 0.901766i | ||||
\(993\) | −13.3845 | − | 9.15206i | −0.424743 | − | 0.290432i | ||||
\(994\) | 36.8494 | − | 18.1176i | 1.16879 | − | 0.574656i | ||||
\(995\) | −25.2125 | − | 15.7583i | −0.799291 | − | 0.499570i | ||||
\(996\) | 8.83061 | + | 4.98688i | 0.279809 | + | 0.158015i | ||||
\(997\) | −37.0422 | + | 25.3288i | −1.17314 | + | 0.802172i | −0.983717 | − | 0.179724i | \(-0.942480\pi\) |
−0.189422 | + | 0.981896i | \(0.560661\pi\) | |||||||
\(998\) | −9.61275 | − | 83.7791i | −0.304286 | − | 2.65198i | ||||
\(999\) | −0.786029 | + | 3.87920i | −0.0248688 | + | 0.122733i |
(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 | 605.2.u.a.4.14 | ✓ | 2560 | |
5.4 | even | 2 | inner | 605.2.u.a.4.51 | yes | 2560 | |
121.91 | even | 55 | inner | 605.2.u.a.454.51 | yes | 2560 | |
605.454 | even | 110 | inner | 605.2.u.a.454.14 | yes | 2560 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
605.2.u.a.4.14 | ✓ | 2560 | 1.1 | even | 1 | trivial | |
605.2.u.a.4.51 | yes | 2560 | 5.4 | even | 2 | inner | |
605.2.u.a.454.14 | yes | 2560 | 605.454 | even | 110 | inner | |
605.2.u.a.454.51 | yes | 2560 | 121.91 | even | 55 | inner |