Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [648,2,Mod(11,648)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(648, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([27, 27, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("648.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 648 = 2^{3} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 648.bb (of order \(54\), degree \(18\), 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: | \(5.17430605098\) |
Analytic rank: | \(0\) |
Dimension: | \(1872\) |
Relative dimension: | \(104\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 371.91 | ||
Character | \(\chi\) | \(=\) | 648.371 |
Dual form | 648.2.bb.b.131.91 |
$q$-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 \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(487\) | \(569\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{7}{54}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.28114 | + | 0.598910i | 0.905899 | + | 0.423493i | ||||
\(3\) | −0.161308 | + | 1.72452i | −0.0931312 | + | 0.995654i | ||||
\(4\) | 1.28261 | + | 1.53457i | 0.641307 | + | 0.767284i | ||||
\(5\) | 0.0476203 | + | 0.817609i | 0.0212964 | + | 0.365646i | 0.992073 | + | 0.125661i | \(0.0401053\pi\) |
−0.970777 | + | 0.239984i | \(0.922858\pi\) | |||||||
\(6\) | −1.23949 | + | 2.11274i | −0.506020 | + | 0.862522i | ||||
\(7\) | 0.895235 | − | 3.77729i | 0.338367 | − | 1.42768i | −0.492063 | − | 0.870560i | \(-0.663757\pi\) |
0.830430 | − | 0.557123i | \(-0.188095\pi\) | |||||||
\(8\) | 0.724135 | + | 2.73416i | 0.256021 | + | 0.966671i | ||||
\(9\) | −2.94796 | − | 0.556359i | −0.982653 | − | 0.185453i | ||||
\(10\) | −0.428666 | + | 1.07599i | −0.135556 | + | 0.340257i | ||||
\(11\) | −2.10128 | + | 3.19483i | −0.633558 | + | 0.963279i | 0.365909 | + | 0.930651i | \(0.380758\pi\) |
−0.999468 | + | 0.0326283i | \(0.989612\pi\) | |||||||
\(12\) | −2.85329 | + | 1.96436i | −0.823675 | + | 0.567062i | ||||
\(13\) | −0.800672 | + | 6.85019i | −0.222066 | + | 1.89990i | 0.178997 | + | 0.983850i | \(0.442715\pi\) |
−0.401063 | + | 0.916050i | \(0.631359\pi\) | |||||||
\(14\) | 3.40918 | − | 4.30306i | 0.911140 | − | 1.15004i | ||||
\(15\) | −1.41767 | − | 0.0497645i | −0.366040 | − | 0.0128491i | ||||
\(16\) | −0.709799 | + | 3.93652i | −0.177450 | + | 0.984130i | ||||
\(17\) | −1.41251 | − | 1.68336i | −0.342584 | − | 0.408276i | 0.567052 | − | 0.823682i | \(-0.308084\pi\) |
−0.909636 | + | 0.415406i | \(0.863639\pi\) | |||||||
\(18\) | −3.44353 | − | 2.47833i | −0.811647 | − | 0.584148i | ||||
\(19\) | 3.21745 | + | 2.69976i | 0.738133 | + | 0.619367i | 0.932335 | − | 0.361595i | \(-0.117768\pi\) |
−0.194203 | + | 0.980961i | \(0.562212\pi\) | |||||||
\(20\) | −1.19360 | + | 1.12175i | −0.266897 | + | 0.250832i | ||||
\(21\) | 6.36962 | + | 2.15316i | 1.38997 | + | 0.469858i | ||||
\(22\) | −4.60544 | + | 2.83454i | −0.981882 | + | 0.604326i | ||||
\(23\) | 1.39715 | − | 0.331130i | 0.291326 | − | 0.0690454i | −0.0823545 | − | 0.996603i | \(-0.526244\pi\) |
0.373680 | + | 0.927558i | \(0.378096\pi\) | |||||||
\(24\) | −4.83193 | + | 0.807746i | −0.986314 | + | 0.164881i | ||||
\(25\) | 4.29998 | − | 0.502595i | 0.859995 | − | 0.100519i | ||||
\(26\) | −5.12841 | + | 8.29648i | −1.00576 | + | 1.62707i | ||||
\(27\) | 1.43498 | − | 4.99408i | 0.276163 | − | 0.961111i | ||||
\(28\) | 6.94476 | − | 3.47101i | 1.31244 | − | 0.655960i | ||||
\(29\) | −5.67199 | − | 7.61881i | −1.05326 | − | 1.41478i | −0.904789 | − | 0.425860i | \(-0.859972\pi\) |
−0.148473 | − | 0.988916i | \(-0.547436\pi\) | |||||||
\(30\) | −1.78642 | − | 0.912809i | −0.326154 | − | 0.166655i | ||||
\(31\) | 5.07819 | + | 1.52031i | 0.912070 | + | 0.273056i | 0.708258 | − | 0.705954i | \(-0.249481\pi\) |
0.203813 | + | 0.979010i | \(0.434667\pi\) | |||||||
\(32\) | −3.26697 | + | 4.61811i | −0.577524 | + | 0.816374i | ||||
\(33\) | −5.17061 | − | 4.13905i | −0.900088 | − | 0.720516i | ||||
\(34\) | −0.801433 | − | 3.00258i | −0.137445 | − | 0.514938i | ||||
\(35\) | 3.13098 | + | 0.552076i | 0.529232 | + | 0.0933179i | ||||
\(36\) | −2.92733 | − | 5.23744i | −0.487888 | − | 0.872906i | ||||
\(37\) | 1.02854 | − | 0.181359i | 0.169090 | − | 0.0298152i | −0.0884619 | − | 0.996080i | \(-0.528195\pi\) |
0.257552 | + | 0.966264i | \(0.417084\pi\) | |||||||
\(38\) | 2.50507 | + | 5.38571i | 0.406376 | + | 0.873678i | ||||
\(39\) | −11.6841 | − | 2.48577i | −1.87096 | − | 0.398041i | ||||
\(40\) | −2.20099 | + | 0.722261i | −0.348007 | + | 0.114199i | ||||
\(41\) | 3.49346 | − | 1.50693i | 0.545587 | − | 0.235343i | −0.105403 | − | 0.994430i | \(-0.533613\pi\) |
0.650990 | + | 0.759086i | \(0.274354\pi\) | |||||||
\(42\) | 6.87080 | + | 6.57332i | 1.06019 | + | 1.01429i | ||||
\(43\) | 4.06557 | − | 2.04180i | 0.619993 | − | 0.311372i | −0.110934 | − | 0.993828i | \(-0.535384\pi\) |
0.730927 | + | 0.682455i | \(0.239088\pi\) | |||||||
\(44\) | −7.59782 | + | 0.873191i | −1.14541 | + | 0.131639i | ||||
\(45\) | 0.314501 | − | 2.43677i | 0.0468830 | − | 0.363252i | ||||
\(46\) | 1.98825 | + | 0.412543i | 0.293152 | + | 0.0608261i | ||||
\(47\) | 0.178805 | + | 0.597251i | 0.0260814 | + | 0.0871179i | 0.970039 | − | 0.242948i | \(-0.0781143\pi\) |
−0.943958 | + | 0.330066i | \(0.892929\pi\) | |||||||
\(48\) | −6.67412 | − | 1.85906i | −0.963327 | − | 0.268332i | ||||
\(49\) | −7.21108 | − | 3.62154i | −1.03015 | − | 0.517363i | ||||
\(50\) | 5.80986 | + | 1.93140i | 0.821638 | + | 0.273142i | ||||
\(51\) | 3.13085 | − | 2.16436i | 0.438406 | − | 0.303072i | ||||
\(52\) | −11.5390 | + | 7.55746i | −1.60018 | + | 1.04803i | ||||
\(53\) | −4.47376 | − | 7.74879i | −0.614519 | − | 1.06438i | −0.990469 | − | 0.137738i | \(-0.956017\pi\) |
0.375950 | − | 0.926640i | \(-0.377316\pi\) | |||||||
\(54\) | 4.82941 | − | 5.53867i | 0.657199 | − | 0.753717i | ||||
\(55\) | −2.71219 | − | 1.56588i | −0.365711 | − | 0.211144i | ||||
\(56\) | 10.9760 | − | 0.287557i | 1.46673 | − | 0.0384264i | ||||
\(57\) | −5.17479 | + | 5.11307i | −0.685418 | + | 0.677242i | ||||
\(58\) | −2.70361 | − | 13.1577i | −0.355002 | − | 1.72769i | ||||
\(59\) | 2.85806 | + | 4.34547i | 0.372088 | + | 0.565732i | 0.972191 | − | 0.234191i | \(-0.0752440\pi\) |
−0.600103 | + | 0.799923i | \(0.704874\pi\) | |||||||
\(60\) | −1.74195 | − | 2.23933i | −0.224885 | − | 0.289097i | ||||
\(61\) | −5.51477 | − | 5.20291i | −0.706093 | − | 0.666165i | 0.246940 | − | 0.969031i | \(-0.420575\pi\) |
−0.953033 | + | 0.302866i | \(0.902057\pi\) | |||||||
\(62\) | 5.59532 | + | 4.98910i | 0.710607 | + | 0.633617i | ||||
\(63\) | −4.74065 | + | 10.6372i | −0.597266 | + | 1.34017i | ||||
\(64\) | −6.95126 | + | 3.95980i | −0.868907 | + | 0.494975i | ||||
\(65\) | −5.63890 | − | 0.328429i | −0.699419 | − | 0.0407365i | ||||
\(66\) | −4.14534 | − | 8.39941i | −0.510256 | − | 1.03390i | ||||
\(67\) | 5.20615 | − | 6.99307i | 0.636032 | − | 0.854339i | −0.360901 | − | 0.932604i | \(-0.617531\pi\) |
0.996933 | + | 0.0782651i | \(0.0249381\pi\) | |||||||
\(68\) | 0.771530 | − | 4.32670i | 0.0935618 | − | 0.524689i | ||||
\(69\) | 0.345670 | + | 2.46283i | 0.0416138 | + | 0.296490i | ||||
\(70\) | 3.68057 | + | 2.58246i | 0.439912 | + | 0.308663i | ||||
\(71\) | 13.6679 | + | 4.97470i | 1.62208 | + | 0.590389i | 0.983777 | − | 0.179396i | \(-0.0574145\pi\) |
0.638303 | + | 0.769785i | \(0.279637\pi\) | |||||||
\(72\) | −0.613548 | − | 8.46307i | −0.0723074 | − | 0.997382i | ||||
\(73\) | 7.82909 | − | 2.84956i | 0.916326 | − | 0.333515i | 0.159550 | − | 0.987190i | \(-0.448996\pi\) |
0.756776 | + | 0.653674i | \(0.226773\pi\) | |||||||
\(74\) | 1.42631 | + | 0.383655i | 0.165805 | + | 0.0445990i | ||||
\(75\) | 0.173116 | + | 7.49648i | 0.0199898 | + | 0.865619i | ||||
\(76\) | −0.0162185 | + | 8.40014i | −0.00186039 | + | 0.963562i | ||||
\(77\) | 10.1867 | + | 10.7973i | 1.16088 | + | 1.23046i | ||||
\(78\) | −13.4802 | − | 10.1824i | −1.52633 | − | 1.15292i | ||||
\(79\) | 4.11834 | + | 1.77648i | 0.463349 | + | 0.199869i | 0.614940 | − | 0.788574i | \(-0.289180\pi\) |
−0.151591 | + | 0.988443i | \(0.548440\pi\) | |||||||
\(80\) | −3.25233 | − | 0.392879i | −0.363622 | − | 0.0439253i | ||||
\(81\) | 8.38093 | + | 3.28025i | 0.931214 | + | 0.364472i | ||||
\(82\) | 5.37811 | + | 0.161684i | 0.593913 | + | 0.0178550i | ||||
\(83\) | −1.64872 | − | 0.711186i | −0.180970 | − | 0.0780628i | 0.303667 | − | 0.952778i | \(-0.401789\pi\) |
−0.484637 | + | 0.874715i | \(0.661048\pi\) | |||||||
\(84\) | 4.86560 | + | 12.5363i | 0.530880 | + | 1.36782i | ||||
\(85\) | 1.30907 | − | 1.23504i | 0.141988 | − | 0.133959i | ||||
\(86\) | 6.43140 | − | 0.180921i | 0.693516 | − | 0.0195092i | ||||
\(87\) | 14.0537 | − | 8.55250i | 1.50672 | − | 0.916925i | ||||
\(88\) | −10.2568 | − | 3.43173i | −1.09338 | − | 0.365824i | ||||
\(89\) | −2.66932 | − | 7.33390i | −0.282948 | − | 0.777392i | −0.997007 | − | 0.0773073i | \(-0.975368\pi\) |
0.714060 | − | 0.700085i | \(-0.246854\pi\) | |||||||
\(90\) | 1.86232 | − | 2.93348i | 0.196306 | − | 0.309215i | ||||
\(91\) | 25.1584 | + | 9.15690i | 2.63732 | + | 0.959904i | ||||
\(92\) | 2.30014 | + | 1.71931i | 0.239807 | + | 0.179250i | ||||
\(93\) | −3.44097 | + | 8.51222i | −0.356811 | + | 0.882676i | ||||
\(94\) | −0.128626 | + | 0.872247i | −0.0132667 | + | 0.0899654i | ||||
\(95\) | −2.05413 | + | 2.75917i | −0.210749 | + | 0.283085i | ||||
\(96\) | −7.43705 | − | 6.37890i | −0.759040 | − | 0.651044i | ||||
\(97\) | 0.362531 | − | 6.22441i | 0.0368094 | − | 0.631993i | −0.928572 | − | 0.371152i | \(-0.878963\pi\) |
0.965382 | − | 0.260841i | \(-0.0840000\pi\) | |||||||
\(98\) | −7.06939 | − | 8.95847i | −0.714117 | − | 0.904942i | ||||
\(99\) | 7.97195 | − | 8.24918i | 0.801211 | − | 0.829074i | ||||
\(100\) | 6.28648 | + | 5.95397i | 0.628648 | + | 0.595397i | ||||
\(101\) | −2.25357 | + | 2.38864i | −0.224238 | + | 0.237679i | −0.829719 | − | 0.558181i | \(-0.811499\pi\) |
0.605481 | + | 0.795860i | \(0.292981\pi\) | |||||||
\(102\) | 5.30730 | − | 0.897750i | 0.525501 | − | 0.0888905i | ||||
\(103\) | −0.263040 | − | 0.399933i | −0.0259181 | − | 0.0394066i | 0.822296 | − | 0.569059i | \(-0.192693\pi\) |
−0.848214 | + | 0.529653i | \(0.822322\pi\) | |||||||
\(104\) | −19.3093 | + | 2.77130i | −1.89343 | + | 0.271748i | ||||
\(105\) | −1.45712 | + | 5.31039i | −0.142200 | + | 0.518241i | ||||
\(106\) | −1.09067 | − | 12.6066i | −0.105936 | − | 1.22446i | ||||
\(107\) | 1.87487 | + | 1.08246i | 0.181250 | + | 0.104645i | 0.587880 | − | 0.808948i | \(-0.299963\pi\) |
−0.406630 | + | 0.913593i | \(0.633296\pi\) | |||||||
\(108\) | 9.50428 | − | 4.20340i | 0.914550 | − | 0.404472i | ||||
\(109\) | −2.29730 | + | 1.32635i | −0.220041 | + | 0.127041i | −0.605969 | − | 0.795488i | \(-0.707215\pi\) |
0.385928 | + | 0.922529i | \(0.373881\pi\) | |||||||
\(110\) | −2.53686 | − | 3.63046i | −0.241880 | − | 0.346151i | ||||
\(111\) | 0.146846 | + | 1.80299i | 0.0139380 | + | 0.171132i | ||||
\(112\) | 14.2340 | + | 6.20523i | 1.34498 | + | 0.586339i | ||||
\(113\) | −2.27361 | + | 4.52714i | −0.213884 | + | 0.425877i | −0.974834 | − | 0.222933i | \(-0.928437\pi\) |
0.760950 | + | 0.648810i | \(0.224733\pi\) | |||||||
\(114\) | −9.69187 | + | 3.45130i | −0.907727 | + | 0.323243i | ||||
\(115\) | 0.337268 | + | 1.12655i | 0.0314504 | + | 0.105052i | ||||
\(116\) | 4.41660 | − | 18.4760i | 0.410071 | − | 1.71546i | ||||
\(117\) | 6.17151 | − | 19.7486i | 0.570556 | − | 1.82576i | ||||
\(118\) | 1.05902 | + | 7.27886i | 0.0974906 | + | 0.670073i | ||||
\(119\) | −7.62309 | + | 3.82846i | −0.698807 | + | 0.350954i | ||||
\(120\) | −0.890518 | − | 3.91216i | −0.0812928 | − | 0.357130i | ||||
\(121\) | −1.43473 | − | 3.32608i | −0.130430 | − | 0.302371i | ||||
\(122\) | −3.94909 | − | 9.96848i | −0.357533 | − | 0.902504i | ||||
\(123\) | 2.03522 | + | 6.26764i | 0.183509 | + | 0.565134i | ||||
\(124\) | 4.18034 | + | 9.74281i | 0.375406 | + | 0.874930i | ||||
\(125\) | 1.32678 | + | 7.52452i | 0.118670 | + | 0.673014i | ||||
\(126\) | −12.4442 | + | 10.7885i | −1.10861 | + | 0.961118i | ||||
\(127\) | −14.6616 | − | 2.58523i | −1.30101 | − | 0.229402i | −0.520129 | − | 0.854088i | \(-0.674116\pi\) |
−0.780877 | + | 0.624685i | \(0.785227\pi\) | |||||||
\(128\) | −11.2771 | + | 0.909870i | −0.996761 | + | 0.0804219i | ||||
\(129\) | 2.86533 | + | 7.34053i | 0.252278 | + | 0.646297i | ||||
\(130\) | −7.02749 | − | 3.79795i | −0.616352 | − | 0.333102i | ||||
\(131\) | −9.91320 | − | 2.96782i | −0.866121 | − | 0.259299i | −0.177234 | − | 0.984169i | \(-0.556715\pi\) |
−0.688886 | + | 0.724869i | \(0.741900\pi\) | |||||||
\(132\) | −0.280249 | − | 13.2435i | −0.0243926 | − | 1.15270i | ||||
\(133\) | 13.0781 | − | 9.73632i | 1.13402 | − | 0.844246i | ||||
\(134\) | 10.8580 | − | 5.84105i | 0.937988 | − | 0.504590i | ||||
\(135\) | 4.15154 | + | 0.935435i | 0.357307 | + | 0.0805094i | ||||
\(136\) | 3.57973 | − | 5.08101i | 0.306960 | − | 0.435693i | ||||
\(137\) | 1.18348 | + | 10.1253i | 0.101112 | + | 0.865065i | 0.944669 | + | 0.328026i | \(0.106383\pi\) |
−0.843557 | + | 0.537039i | \(0.819543\pi\) | |||||||
\(138\) | −1.03216 | + | 3.36224i | −0.0878633 | + | 0.286213i | ||||
\(139\) | 19.2452 | − | 4.56120i | 1.63236 | − | 0.386876i | 0.690620 | − | 0.723218i | \(-0.257338\pi\) |
0.941740 | + | 0.336342i | \(0.109190\pi\) | |||||||
\(140\) | 3.16864 | + | 5.51280i | 0.267799 | + | 0.465917i | ||||
\(141\) | −1.05881 | + | 0.212012i | −0.0891683 | + | 0.0178546i | ||||
\(142\) | 14.5310 | + | 14.5591i | 1.21942 | + | 1.22177i | ||||
\(143\) | −20.2028 | − | 16.9521i | −1.68944 | − | 1.41761i | ||||
\(144\) | 4.28257 | − | 11.2098i | 0.356881 | − | 0.934150i | ||||
\(145\) | 5.95910 | − | 5.00028i | 0.494876 | − | 0.415251i | ||||
\(146\) | 11.7368 | + | 1.03825i | 0.971341 | + | 0.0859263i | ||||
\(147\) | 7.40863 | − | 11.8515i | 0.611054 | − | 0.977494i | ||||
\(148\) | 1.59752 | + | 1.34575i | 0.131316 | + | 0.110620i | ||||
\(149\) | −11.8625 | − | 1.38652i | −0.971811 | − | 0.113588i | −0.384653 | − | 0.923061i | \(-0.625679\pi\) |
−0.587158 | + | 0.809473i | \(0.699753\pi\) | |||||||
\(150\) | −4.26793 | + | 9.70768i | −0.348475 | + | 0.792629i | ||||
\(151\) | −11.0351 | + | 16.7780i | −0.898022 | + | 1.36538i | 0.0326288 | + | 0.999468i | \(0.489612\pi\) |
−0.930651 | + | 0.365909i | \(0.880758\pi\) | |||||||
\(152\) | −5.05170 | + | 10.7520i | −0.409747 | + | 0.872102i | ||||
\(153\) | 3.22747 | + | 5.74835i | 0.260925 | + | 0.464726i | ||||
\(154\) | 6.58395 | + | 19.9337i | 0.530550 | + | 1.60630i | ||||
\(155\) | −1.00119 | + | 4.22437i | −0.0804179 | + | 0.339310i | ||||
\(156\) | −11.1717 | − | 21.1184i | −0.894451 | − | 1.69083i | ||||
\(157\) | −21.1027 | + | 1.22909i | −1.68418 | + | 0.0980924i | −0.873321 | − | 0.487146i | \(-0.838038\pi\) |
−0.810861 | + | 0.585238i | \(0.801001\pi\) | |||||||
\(158\) | 4.21220 | + | 4.74242i | 0.335105 | + | 0.377287i | ||||
\(159\) | 14.0846 | − | 6.46517i | 1.11698 | − | 0.512721i | ||||
\(160\) | −3.93138 | − | 2.45119i | −0.310803 | − | 0.193783i | ||||
\(161\) | − | 5.57388i | − | 0.439283i | ||||||
\(162\) | 8.77253 | + | 9.22186i | 0.689235 | + | 0.724538i | ||||
\(163\) | 7.88858 | 0.617881 | 0.308941 | − | 0.951081i | \(-0.400026\pi\) | ||||
0.308941 | + | 0.951081i | \(0.400026\pi\) | |||||||
\(164\) | 6.79326 | + | 3.42814i | 0.530464 | + | 0.267693i | ||||
\(165\) | 3.13790 | − | 4.42464i | 0.244285 | − | 0.344458i | ||||
\(166\) | −1.68629 | − | 1.89856i | −0.130882 | − | 0.147357i | ||||
\(167\) | −0.321891 | − | 5.52665i | −0.0249087 | − | 0.427665i | −0.987593 | − | 0.157037i | \(-0.949806\pi\) |
0.962684 | − | 0.270628i | \(-0.0872313\pi\) | |||||||
\(168\) | −1.27462 | + | 18.9747i | −0.0983389 | + | 1.46393i | ||||
\(169\) | −33.6344 | − | 7.97150i | −2.58726 | − | 0.613192i | ||||
\(170\) | 2.41677 | − | 0.798243i | 0.185358 | − | 0.0612224i | ||||
\(171\) | −7.98286 | − | 9.74883i | −0.610465 | − | 0.745511i | ||||
\(172\) | 8.34785 | + | 3.62004i | 0.636517 | + | 0.276026i | ||||
\(173\) | 16.7927 | + | 11.0448i | 1.27673 | + | 0.839717i | 0.992876 | − | 0.119151i | \(-0.0380172\pi\) |
0.283852 | + | 0.958868i | \(0.408388\pi\) | |||||||
\(174\) | 23.1269 | − | 2.53999i | 1.75325 | − | 0.192556i | ||||
\(175\) | 1.95104 | − | 16.6922i | 0.147485 | − | 1.26181i | ||||
\(176\) | −11.0850 | − | 10.5394i | −0.835567 | − | 0.794437i | ||||
\(177\) | −7.95490 | + | 4.22783i | −0.597927 | + | 0.317784i | ||||
\(178\) | 0.972581 | − | 10.9944i | 0.0728981 | − | 0.824065i | ||||
\(179\) | −15.3169 | − | 18.2540i | −1.14484 | − | 1.36437i | −0.920915 | − | 0.389765i | \(-0.872556\pi\) |
−0.223928 | − | 0.974606i | \(-0.571888\pi\) | |||||||
\(180\) | 4.14278 | − | 2.64282i | 0.308784 | − | 0.196984i | ||||
\(181\) | 9.87333 | − | 11.7666i | 0.733879 | − | 0.874603i | −0.262021 | − | 0.965062i | \(-0.584389\pi\) |
0.995900 | + | 0.0904595i | \(0.0288336\pi\) | |||||||
\(182\) | 26.7471 | + | 26.7988i | 1.98263 | + | 1.98646i | ||||
\(183\) | 9.86212 | − | 8.67107i | 0.729029 | − | 0.640984i | ||||
\(184\) | 1.91709 | + | 3.58024i | 0.141330 | + | 0.263939i | ||||
\(185\) | 0.197260 | + | 0.832304i | 0.0145028 | + | 0.0611922i | ||||
\(186\) | −9.50639 | + | 8.84448i | −0.697043 | + | 0.648509i | ||||
\(187\) | 8.34614 | − | 0.975524i | 0.610330 | − | 0.0713374i | ||||
\(188\) | −0.687184 | + | 1.04043i | −0.0501180 | + | 0.0758812i | ||||
\(189\) | −17.5795 | − | 9.89123i | −1.27872 | − | 0.719481i | ||||
\(190\) | −4.28411 | + | 2.30464i | −0.310802 | + | 0.167196i | ||||
\(191\) | 10.7701 | + | 14.4668i | 0.779300 | + | 1.04678i | 0.997485 | + | 0.0708743i | \(0.0225789\pi\) |
−0.218185 | + | 0.975907i | \(0.570014\pi\) | |||||||
\(192\) | −5.70748 | − | 12.6263i | −0.411902 | − | 0.911228i | ||||
\(193\) | 0.517954 | − | 1.73009i | 0.0372831 | − | 0.124534i | −0.937322 | − | 0.348464i | \(-0.886703\pi\) |
0.974605 | + | 0.223930i | \(0.0718886\pi\) | |||||||
\(194\) | 4.19231 | − | 7.75719i | 0.300990 | − | 0.556934i | ||||
\(195\) | 1.47598 | − | 9.67144i | 0.105697 | − | 0.692586i | ||||
\(196\) | −3.69154 | − | 15.7109i | −0.263681 | − | 1.12221i | ||||
\(197\) | −3.36226 | + | 19.0683i | −0.239551 | + | 1.35856i | 0.593262 | + | 0.805009i | \(0.297840\pi\) |
−0.832814 | + | 0.553554i | \(0.813271\pi\) | |||||||
\(198\) | 15.1537 | − | 5.79384i | 1.07692 | − | 0.411750i | ||||
\(199\) | 20.8768 | − | 3.68114i | 1.47992 | − | 0.260949i | 0.625371 | − | 0.780327i | \(-0.284948\pi\) |
0.854544 | + | 0.519378i | \(0.173836\pi\) | |||||||
\(200\) | 4.48794 | + | 11.3929i | 0.317345 | + | 0.805598i | ||||
\(201\) | 11.2199 | + | 10.1062i | 0.791392 | + | 0.712833i | ||||
\(202\) | −4.31770 | + | 1.71049i | −0.303793 | + | 0.120350i | ||||
\(203\) | −33.8562 | + | 14.6042i | −2.37624 | + | 1.02501i | ||||
\(204\) | 7.33704 | + | 2.02845i | 0.513695 | + | 0.142020i | ||||
\(205\) | 1.39844 | + | 2.78452i | 0.0976714 | + | 0.194480i | ||||
\(206\) | −0.0974662 | − | 0.669905i | −0.00679079 | − | 0.0466745i | ||||
\(207\) | −4.30296 | + | 0.198843i | −0.299077 | + | 0.0138205i | ||||
\(208\) | −26.3976 | − | 8.01411i | −1.83034 | − | 0.555679i | ||||
\(209\) | −15.3860 | + | 4.60627i | −1.06427 | + | 0.318622i | ||||
\(210\) | −5.04721 | + | 5.93065i | −0.348291 | + | 0.409254i | ||||
\(211\) | −22.7001 | − | 11.4004i | −1.56274 | − | 0.784838i | −0.563591 | − | 0.826054i | \(-0.690581\pi\) |
−0.999150 | + | 0.0412158i | \(0.986877\pi\) | |||||||
\(212\) | 6.15293 | − | 16.8040i | 0.422585 | − | 1.15410i | ||||
\(213\) | −10.7837 | + | 22.7681i | −0.738889 | + | 1.56005i | ||||
\(214\) | 1.75367 | + | 2.50965i | 0.119878 | + | 0.171556i | ||||
\(215\) | 1.86300 | + | 3.22681i | 0.127056 | + | 0.220067i | ||||
\(216\) | 14.6937 | + | 0.307082i | 0.999782 | + | 0.0208943i | ||||
\(217\) | 10.2888 | − | 17.8208i | 0.698452 | − | 1.20975i | ||||
\(218\) | −3.73751 | + | 0.323354i | −0.253136 | + | 0.0219003i | ||||
\(219\) | 3.65123 | + | 13.9611i | 0.246727 | + | 0.943404i | ||||
\(220\) | −1.07574 | − | 6.17046i | −0.0725263 | − | 0.416012i | ||||
\(221\) | 12.6623 | − | 8.32813i | 0.851759 | − | 0.560211i | ||||
\(222\) | −0.891698 | + | 2.39782i | −0.0598469 | + | 0.160931i | ||||
\(223\) | 1.78577 | + | 1.68479i | 0.119584 | + | 0.112822i | 0.743711 | − | 0.668501i | \(-0.233064\pi\) |
−0.624127 | + | 0.781323i | \(0.714545\pi\) | |||||||
\(224\) | 14.5193 | + | 16.4746i | 0.970108 | + | 1.10075i | ||||
\(225\) | −12.9558 | − | 0.910699i | −0.863718 | − | 0.0607133i | ||||
\(226\) | −5.62415 | + | 4.43819i | −0.374113 | + | 0.295224i | ||||
\(227\) | 6.54732 | + | 0.381338i | 0.434561 | + | 0.0253103i | 0.274031 | − | 0.961721i | \(-0.411643\pi\) |
0.160530 | + | 0.987031i | \(0.448680\pi\) | |||||||
\(228\) | −14.4836 | − | 1.38298i | −0.959201 | − | 0.0915900i | ||||
\(229\) | 7.01535 | + | 5.22274i | 0.463588 | + | 0.345128i | 0.803476 | − | 0.595338i | \(-0.202982\pi\) |
−0.339888 | + | 0.940466i | \(0.610389\pi\) | |||||||
\(230\) | −0.242617 | + | 1.64526i | −0.0159977 | + | 0.108485i | ||||
\(231\) | −20.2633 | + | 15.8255i | −1.33323 | + | 1.04124i | ||||
\(232\) | 16.7237 | − | 21.0252i | 1.09797 | − | 1.38037i | ||||
\(233\) | −5.02864 | + | 13.8161i | −0.329437 | + | 0.905122i | 0.658817 | + | 0.752303i | \(0.271057\pi\) |
−0.988254 | + | 0.152818i | \(0.951165\pi\) | |||||||
\(234\) | 19.7342 | − | 21.6045i | 1.29006 | − | 1.41233i | ||||
\(235\) | −0.479802 | + | 0.174634i | −0.0312989 | + | 0.0113919i | ||||
\(236\) | −3.00263 | + | 9.95946i | −0.195455 | + | 0.648306i | ||||
\(237\) | −3.72790 | + | 6.81561i | −0.242153 | + | 0.442721i | ||||
\(238\) | −12.0591 | + | 0.339233i | −0.781676 | + | 0.0219892i | ||||
\(239\) | −3.67223 | − | 3.89234i | −0.237537 | − | 0.251775i | 0.597629 | − | 0.801773i | \(-0.296110\pi\) |
−0.835166 | + | 0.549999i | \(0.814628\pi\) | |||||||
\(240\) | 1.20216 | − | 5.54535i | 0.0775989 | − | 0.357951i | ||||
\(241\) | −8.37803 | + | 19.4225i | −0.539676 | + | 1.25111i | 0.402324 | + | 0.915497i | \(0.368203\pi\) |
−0.942000 | + | 0.335613i | \(0.891057\pi\) | |||||||
\(242\) | 0.153937 | − | 5.12043i | 0.00989543 | − | 0.329154i | ||||
\(243\) | −7.00877 | + | 13.9240i | −0.449613 | + | 0.893224i | ||||
\(244\) | 0.910905 | − | 15.1361i | 0.0583147 | − | 0.968991i | ||||
\(245\) | 2.61761 | − | 6.06830i | 0.167233 | − | 0.387689i | ||||
\(246\) | −1.14636 | + | 9.24860i | −0.0730892 | + | 0.589669i | ||||
\(247\) | −21.0700 | + | 19.8785i | −1.34065 | + | 1.26484i | ||||
\(248\) | −0.479474 | + | 14.9855i | −0.0304466 | + | 0.951580i | ||||
\(249\) | 1.49241 | − | 2.72853i | 0.0945775 | − | 0.172913i | ||||
\(250\) | −2.80673 | + | 10.4346i | −0.177513 | + | 0.659939i | ||||
\(251\) | −6.53539 | − | 17.9558i | −0.412510 | − | 1.13336i | −0.955852 | − | 0.293850i | \(-0.905063\pi\) |
0.543342 | − | 0.839512i | \(-0.317159\pi\) | |||||||
\(252\) | −22.4040 | + | 6.36863i | −1.41132 | + | 0.401186i | ||||
\(253\) | −1.87789 | + | 5.15945i | −0.118062 | + | 0.324372i | ||||
\(254\) | −17.2352 | − | 12.0930i | −1.08143 | − | 0.758783i | ||||
\(255\) | 1.91870 | + | 2.45674i | 0.120153 | + | 0.153847i | ||||
\(256\) | −14.9924 | − | 5.58827i | −0.937023 | − | 0.349267i | ||||
\(257\) | −0.482794 | − | 0.359427i | −0.0301158 | − | 0.0224204i | 0.581995 | − | 0.813192i | \(-0.302272\pi\) |
−0.612111 | + | 0.790772i | \(0.709680\pi\) | |||||||
\(258\) | −0.725434 | + | 11.1203i | −0.0451635 | + | 0.692318i | ||||
\(259\) | 0.235737 | − | 4.04745i | 0.0146480 | − | 0.251496i | ||||
\(260\) | −6.72854 | − | 9.07452i | −0.417286 | − | 0.562778i | ||||
\(261\) | 12.4820 | + | 25.6156i | 0.772617 | + | 1.58557i | ||||
\(262\) | −10.9227 | − | 9.73929i | −0.674807 | − | 0.601695i | ||||
\(263\) | 13.9852 | − | 14.8234i | 0.862362 | − | 0.914051i | −0.134681 | − | 0.990889i | \(-0.543001\pi\) |
0.997044 | + | 0.0768382i | \(0.0244825\pi\) | |||||||
\(264\) | 7.57260 | − | 17.1345i | 0.466061 | − | 1.05456i | ||||
\(265\) | 6.12243 | − | 4.02679i | 0.376098 | − | 0.247364i | ||||
\(266\) | 22.5861 | − | 4.64092i | 1.38484 | − | 0.284553i | ||||
\(267\) | 13.0781 | − | 3.42029i | 0.800365 | − | 0.209318i | ||||
\(268\) | 17.4088 | − | 0.980226i | 1.06341 | − | 0.0598768i | ||||
\(269\) | 8.52035 | − | 14.7577i | 0.519495 | − | 0.899791i | −0.480248 | − | 0.877133i | \(-0.659453\pi\) |
0.999743 | − | 0.0226589i | \(-0.00721317\pi\) | |||||||
\(270\) | 4.75844 | + | 3.68481i | 0.289589 | + | 0.224251i | ||||
\(271\) | 5.17071 | − | 2.98531i | 0.314098 | − | 0.181345i | −0.334661 | − | 0.942339i | \(-0.608622\pi\) |
0.648759 | + | 0.760994i | \(0.275288\pi\) | |||||||
\(272\) | 7.62919 | − | 4.36552i | 0.462588 | − | 0.264699i | ||||
\(273\) | −19.8495 | + | 41.9091i | −1.20135 | + | 2.53646i | ||||
\(274\) | −4.54796 | + | 13.6807i | −0.274752 | + | 0.826482i | ||||
\(275\) | −7.42973 | + | 14.7938i | −0.448029 | + | 0.892100i | ||||
\(276\) | −3.33602 | + | 3.68931i | −0.200805 | + | 0.222071i | ||||
\(277\) | 9.36761 | − | 2.80448i | 0.562845 | − | 0.168505i | 0.00727372 | − | 0.999974i | \(-0.497685\pi\) |
0.555572 | + | 0.831469i | \(0.312499\pi\) | |||||||
\(278\) | 27.3875 | + | 5.68264i | 1.64259 | + | 0.340822i | ||||
\(279\) | −14.1245 | − | 7.30711i | −0.845610 | − | 0.437465i | ||||
\(280\) | 0.757789 | + | 8.96038i | 0.0452866 | + | 0.535485i | ||||
\(281\) | −9.07100 | − | 18.0619i | −0.541131 | − | 1.07748i | −0.983544 | − | 0.180669i | \(-0.942174\pi\) |
0.442413 | − | 0.896811i | \(-0.354122\pi\) | |||||||
\(282\) | −1.48346 | − | 0.362518i | −0.0883388 | − | 0.0215876i | ||||
\(283\) | −1.16444 | − | 2.69948i | −0.0692189 | − | 0.160467i | 0.880095 | − | 0.474798i | \(-0.157479\pi\) |
−0.949313 | + | 0.314331i | \(0.898220\pi\) | |||||||
\(284\) | 9.89661 | + | 27.3549i | 0.587256 | + | 1.62322i | ||||
\(285\) | −4.42691 | − | 3.98747i | −0.262228 | − | 0.236197i | ||||
\(286\) | −15.7297 | − | 33.8176i | −0.930116 | − | 1.99968i | ||||
\(287\) | −2.56466 | − | 14.5449i | −0.151387 | − | 0.858558i | ||||
\(288\) | 12.2002 | − | 11.7964i | 0.718904 | − | 0.695109i | ||||
\(289\) | 2.11349 | − | 11.9862i | 0.124323 | − | 0.705071i | ||||
\(290\) | 10.6291 | − | 2.83707i | 0.624164 | − | 0.166599i | ||||
\(291\) | 10.6757 | + | 1.62924i | 0.625818 | + | 0.0955077i | ||||
\(292\) | 14.4145 | + | 8.35939i | 0.843548 | + | 0.489196i | ||||
\(293\) | 5.03870 | − | 16.8304i | 0.294364 | − | 0.983244i | −0.675042 | − | 0.737780i | \(-0.735874\pi\) |
0.969406 | − | 0.245464i | \(-0.0789404\pi\) | |||||||
\(294\) | 16.5894 | − | 10.7463i | 0.967515 | − | 0.626735i | ||||
\(295\) | −3.41679 | + | 2.54371i | −0.198933 | + | 0.148100i | ||||
\(296\) | 1.24066 | + | 2.68086i | 0.0721121 | + | 0.155822i | ||||
\(297\) | 12.9400 | + | 15.0785i | 0.750853 | + | 0.874942i | ||||
\(298\) | −14.3670 | − | 8.88087i | −0.832259 | − | 0.514455i | ||||
\(299\) | 1.14965 | + | 9.83585i | 0.0664858 | + | 0.568822i | ||||
\(300\) | −11.2818 | + | 9.88075i | −0.651356 | + | 0.570466i | ||||
\(301\) | −4.07286 | − | 17.1847i | −0.234756 | − | 0.990512i | ||||
\(302\) | −24.1859 | + | 14.8859i | −1.39174 | + | 0.856587i | ||||
\(303\) | −3.75575 | − | 4.27163i | −0.215762 | − | 0.245399i | ||||
\(304\) | −12.9114 | + | 10.7493i | −0.740519 | + | 0.616512i | ||||
\(305\) | 3.99133 | − | 4.75668i | 0.228543 | − | 0.272367i | ||||
\(306\) | 0.692081 | + | 9.29737i | 0.0395636 | + | 0.531495i | ||||
\(307\) | 16.3500 | − | 13.7192i | 0.933142 | − | 0.782999i | −0.0432370 | − | 0.999065i | \(-0.513767\pi\) |
0.976379 | + | 0.216066i | \(0.0693226\pi\) | |||||||
\(308\) | −3.50353 | + | 29.4809i | −0.199632 | + | 1.67983i | ||||
\(309\) | 0.732124 | − | 0.389106i | 0.0416491 | − | 0.0221355i | ||||
\(310\) | −3.81268 | + | 4.81237i | −0.216546 | + | 0.273324i | ||||
\(311\) | −6.03608 | − | 0.705517i | −0.342275 | − | 0.0400062i | −0.0567808 | − | 0.998387i | \(-0.518084\pi\) |
−0.285494 | + | 0.958380i | \(0.592158\pi\) | |||||||
\(312\) | −1.66442 | − | 33.7464i | −0.0942294 | − | 1.91051i | ||||
\(313\) | −18.7127 | − | 12.3075i | −1.05770 | − | 0.695662i | −0.103441 | − | 0.994636i | \(-0.532985\pi\) |
−0.954261 | + | 0.298973i | \(0.903356\pi\) | |||||||
\(314\) | −27.7716 | − | 11.0640i | −1.56724 | − | 0.624377i | ||||
\(315\) | −8.92285 | − | 3.36945i | −0.502746 | − | 0.189847i | ||||
\(316\) | 2.55612 | + | 8.59841i | 0.143793 | + | 0.483698i | ||||
\(317\) | −29.1540 | − | 6.90962i | −1.63745 | − | 0.388083i | −0.694100 | − | 0.719879i | \(-0.744197\pi\) |
−0.943351 | + | 0.331796i | \(0.892346\pi\) | |||||||
\(318\) | 21.9163 | + | 0.152656i | 1.22901 | + | 0.00856052i | ||||
\(319\) | 36.2592 | − | 2.11186i | 2.03013 | − | 0.118241i | ||||
\(320\) | −3.56859 | − | 5.49484i | −0.199490 | − | 0.307171i | ||||
\(321\) | −2.16915 | + | 3.05864i | −0.121070 | + | 0.170717i | ||||
\(322\) | 3.33825 | − | 7.14089i | 0.186033 | − | 0.397946i | ||||
\(323\) | − | 9.22956i | − | 0.513546i | ||||||
\(324\) | 5.71574 | + | 17.0684i | 0.317541 | + | 0.948244i | ||||
\(325\) | 29.8580i | 1.65623i | ||||||||
\(326\) | 10.1063 | + | 4.72455i | 0.559738 | + | 0.261668i | ||||
\(327\) | −1.91674 | − | 4.17569i | −0.105996 | − | 0.230916i | ||||
\(328\) | 6.64993 | + | 8.46046i | 0.367181 | + | 0.467151i | ||||
\(329\) | 2.41606 | − | 0.140720i | 0.133202 | − | 0.00775813i | ||||
\(330\) | 6.67003 | − | 3.78925i | 0.367173 | − | 0.208591i | ||||
\(331\) | 2.45107 | + | 0.580913i | 0.134723 | + | 0.0319299i | 0.297424 | − | 0.954746i | \(-0.403873\pi\) |
−0.162701 | + | 0.986675i | \(0.552021\pi\) | |||||||
\(332\) | −1.02330 | − | 3.44224i | −0.0561610 | − | 0.188918i | ||||
\(333\) | −3.13299 | − | 0.0375971i | −0.171687 | − | 0.00206031i | ||||
\(334\) | 2.89758 | − | 7.27317i | 0.158548 | − | 0.397970i | ||||
\(335\) | 5.96551 | + | 3.92358i | 0.325931 | + | 0.214368i | ||||
\(336\) | −12.9971 | + | 23.5458i | −0.709051 | + | 1.28453i | ||||
\(337\) | −27.0981 | − | 3.16732i | −1.47613 | − | 0.172535i | −0.660376 | − | 0.750935i | \(-0.729603\pi\) |
−0.815753 | + | 0.578400i | \(0.803677\pi\) | |||||||
\(338\) | −38.3160 | − | 30.3565i | −2.08412 | − | 1.65118i | ||||
\(339\) | −7.44040 | − | 4.65116i | −0.404107 | − | 0.252617i | ||||
\(340\) | 3.57429 | + | 0.424771i | 0.193843 | + | 0.0230364i | ||||
\(341\) | −15.5278 | + | 13.0294i | −0.840879 | + | 0.705581i | ||||
\(342\) | −4.38846 | − | 17.2706i | −0.237301 | − | 0.933886i | ||||
\(343\) | −2.66843 | + | 3.18011i | −0.144082 | + | 0.171710i | ||||
\(344\) | 8.52664 | + | 9.63737i | 0.459726 | + | 0.519612i | ||||
\(345\) | −1.99717 | + | 0.399904i | −0.107524 | + | 0.0215301i | ||||
\(346\) | 14.8990 | + | 24.2072i | 0.800973 | + | 1.30138i | ||||
\(347\) | 7.25366 | + | 30.6056i | 0.389397 | + | 1.64300i | 0.716194 | + | 0.697901i | \(0.245882\pi\) |
−0.326797 | + | 0.945094i | \(0.605969\pi\) | |||||||
\(348\) | 31.1499 | + | 10.5969i | 1.66981 | + | 0.568051i | ||||
\(349\) | 3.48209 | + | 29.7912i | 0.186392 | + | 1.59469i | 0.685451 | + | 0.728119i | \(0.259605\pi\) |
−0.499058 | + | 0.866568i | \(0.666321\pi\) | |||||||
\(350\) | 12.4967 | − | 20.2165i | 0.667975 | − | 1.08062i | ||||
\(351\) | 33.0614 | + | 13.8285i | 1.76469 | + | 0.738112i | ||||
\(352\) | −7.88929 | − | 20.1413i | −0.420501 | − | 1.07354i | ||||
\(353\) | 7.88099 | − | 5.86718i | 0.419463 | − | 0.312278i | −0.366653 | − | 0.930358i | \(-0.619496\pi\) |
0.786116 | + | 0.618079i | \(0.212089\pi\) | |||||||
\(354\) | −12.7234 | + | 0.652165i | −0.676240 | + | 0.0346622i | ||||
\(355\) | −3.41649 | + | 11.4119i | −0.181329 | + | 0.605680i | ||||
\(356\) | 7.83066 | − | 13.5028i | 0.415024 | − | 0.715648i | ||||
\(357\) | −5.37260 | − | 13.7637i | −0.284348 | − | 0.728455i | ||||
\(358\) | −8.69057 | − | 32.5593i | −0.459311 | − | 1.72081i | ||||
\(359\) | −2.77286 | + | 15.7257i | −0.146346 | + | 0.829968i | 0.819931 | + | 0.572462i | \(0.194012\pi\) |
−0.966277 | + | 0.257506i | \(0.917099\pi\) | |||||||
\(360\) | 6.89026 | − | 0.904656i | 0.363149 | − | 0.0476796i | ||||
\(361\) | −0.236050 | − | 1.33871i | −0.0124237 | − | 0.0704583i | ||||
\(362\) | 19.6962 | − | 9.16134i | 1.03521 | − | 0.481509i | ||||
\(363\) | 5.96733 | − | 1.93770i | 0.313204 | − | 0.101703i | ||||
\(364\) | 18.2166 | + | 50.3520i | 0.954810 | + | 2.63916i | ||||
\(365\) | 2.70265 | + | 6.26544i | 0.141463 | + | 0.327948i | ||||
\(366\) | 17.8279 | − | 5.20229i | 0.931879 | − | 0.271928i | ||||
\(367\) | −8.20613 | − | 16.3397i | −0.428356 | − | 0.852928i | −0.999486 | − | 0.0320676i | \(-0.989791\pi\) |
0.571129 | − | 0.820860i | \(-0.306505\pi\) | |||||||
\(368\) | 0.311806 | + | 5.73494i | 0.0162540 | + | 0.298954i | ||||
\(369\) | −11.1370 | + | 2.49876i | −0.579768 | + | 0.130080i | ||||
\(370\) | −0.245759 | + | 1.18444i | −0.0127764 | + | 0.0615758i | ||||
\(371\) | −33.2745 | + | 9.96174i | −1.72753 | + | 0.517188i | ||||
\(372\) | −17.4760 | + | 5.63751i | −0.906089 | + | 0.292291i | ||||
\(373\) | 7.66206 | − | 15.2564i | 0.396726 | − | 0.789947i | −0.603245 | − | 0.797556i | \(-0.706126\pi\) |
0.999971 | + | 0.00760918i | \(0.00242210\pi\) | |||||||
\(374\) | 11.2768 | + | 3.74880i | 0.583108 | + | 0.193846i | ||||
\(375\) | −13.1902 | + | 1.07429i | −0.681141 | + | 0.0554761i | ||||
\(376\) | −1.50350 | + | 0.921372i | −0.0775370 | + | 0.0475161i | ||||
\(377\) | 56.7316 | − | 32.7540i | 2.92183 | − | 1.68692i | ||||
\(378\) | −16.5977 | − | 23.2005i | −0.853694 | − | 1.19331i | ||||
\(379\) | −12.5336 | + | 21.7088i | −0.643808 | + | 1.11511i | 0.340768 | + | 0.940148i | \(0.389313\pi\) |
−0.984575 | + | 0.174960i | \(0.944020\pi\) | |||||||
\(380\) | −6.86880 | + | 0.386757i | −0.352362 | + | 0.0198402i | ||||
\(381\) | 6.82333 | − | 24.8672i | 0.349570 | − | 1.27399i | ||||
\(382\) | 5.13370 | + | 24.9843i | 0.262663 | + | 1.27831i | ||||
\(383\) | −8.61067 | + | 5.66333i | −0.439985 | + | 0.289382i | −0.750110 | − | 0.661313i | \(-0.769999\pi\) |
0.310125 | + | 0.950696i | \(0.399629\pi\) | |||||||
\(384\) | 0.249988 | − | 19.5943i | 0.0127571 | − | 0.999919i | ||||
\(385\) | −8.34285 | + | 8.84290i | −0.425191 | + | 0.450676i | ||||
\(386\) | 1.69973 | − | 1.90627i | 0.0865142 | − | 0.0970264i | ||||
\(387\) | −13.1211 | + | 3.75724i | −0.666983 | + | 0.190991i | ||||
\(388\) | 10.0168 | − | 7.42719i | 0.508524 | − | 0.377059i | ||||
\(389\) | 1.14104 | − | 19.5909i | 0.0578531 | − | 0.993300i | −0.837075 | − | 0.547089i | \(-0.815736\pi\) |
0.894928 | − | 0.446211i | \(-0.147227\pi\) | |||||||
\(390\) | 7.68325 | − | 11.5064i | 0.389056 | − | 0.582651i | ||||
\(391\) | −2.53090 | − | 1.88418i | −0.127993 | − | 0.0952872i | ||||
\(392\) | 4.68007 | − | 22.3387i | 0.236379 | − | 1.12828i | ||||
\(393\) | 6.71715 | − | 16.6168i | 0.338835 | − | 0.838207i | ||||
\(394\) | −15.7277 | + | 22.4154i | −0.792351 | + | 1.12927i | ||||
\(395\) | −1.25635 | + | 3.45179i | −0.0632137 | + | 0.173678i | ||||
\(396\) | 22.8839 | + | 1.65298i | 1.14996 | + | 0.0830654i | ||||
\(397\) | −1.90597 | − | 5.23662i | −0.0956581 | − | 0.262819i | 0.882630 | − | 0.470069i | \(-0.155771\pi\) |
−0.978288 | + | 0.207250i | \(0.933549\pi\) | |||||||
\(398\) | 28.9506 | + | 7.78726i | 1.45116 | + | 0.390340i | ||||
\(399\) | 14.6809 | + | 24.1241i | 0.734964 | + | 1.20772i | ||||
\(400\) | −1.07364 | + | 17.2837i | −0.0536821 | + | 0.864184i | ||||
\(401\) | 11.9245 | − | 11.2502i | 0.595483 | − | 0.561809i | −0.328374 | − | 0.944548i | \(-0.606501\pi\) |
0.923857 | + | 0.382739i | \(0.125019\pi\) | |||||||
\(402\) | 8.32155 | + | 19.6671i | 0.415041 | + | 0.980904i | ||||
\(403\) | −14.4804 | + | 33.5693i | −0.721319 | + | 1.67221i | ||||
\(404\) | −6.55599 | − | 0.394545i | −0.326173 | − | 0.0196294i | ||||
\(405\) | −2.28286 | + | 7.00853i | −0.113436 | + | 0.348257i | ||||
\(406\) | −52.1210 | − | 1.56693i | −2.58672 | − | 0.0777652i | ||||
\(407\) | −1.58183 | + | 3.66709i | −0.0784083 | + | 0.181771i | ||||
\(408\) | 8.18488 | + | 6.99294i | 0.405212 | + | 0.346202i | ||||
\(409\) | 13.0449 | + | 13.8268i | 0.645030 | + | 0.683692i | 0.964554 | − | 0.263886i | \(-0.0850044\pi\) |
−0.319524 | + | 0.947578i | \(0.603523\pi\) | |||||||
\(410\) | 0.123913 | + | 4.40489i | 0.00611965 | + | 0.217542i | ||||
\(411\) | −17.6523 | + | 0.407644i | −0.870722 | + | 0.0201076i | ||||
\(412\) | 0.276345 | − | 0.916613i | 0.0136146 | − | 0.0451583i | ||||
\(413\) | 18.9728 | − | 6.90552i | 0.933589 | − | 0.339799i | ||||
\(414\) | −5.63177 | − | 2.32234i | −0.276786 | − | 0.114137i | ||||
\(415\) | 0.502960 | − | 1.38187i | 0.0246893 | − | 0.0678334i | ||||
\(416\) | −29.0191 | − | 26.0769i | −1.42278 | − | 1.27853i | ||||
\(417\) | 4.76149 | + | 33.9246i | 0.233171 | + | 1.66130i | ||||
\(418\) | −22.4703 | − | 3.31358i | −1.09906 | − | 0.162072i | ||||
\(419\) | −10.1791 | − | 7.57805i | −0.497281 | − | 0.370212i | 0.319104 | − | 0.947720i | \(-0.396618\pi\) |
−0.816385 | + | 0.577508i | \(0.804025\pi\) | |||||||
\(420\) | −10.0181 | + | 4.57514i | −0.488832 | + | 0.223244i | ||||
\(421\) | −19.8849 | − | 1.15816i | −0.969130 | − | 0.0564454i | −0.433729 | − | 0.901043i | \(-0.642802\pi\) |
−0.535401 | + | 0.844598i | \(0.679839\pi\) | |||||||
\(422\) | −22.2541 | − | 28.2008i | −1.08331 | − | 1.37279i | ||||
\(423\) | −0.194825 | − | 1.86015i | −0.00947269 | − | 0.0904436i | ||||
\(424\) | 17.9468 | − | 17.8432i | 0.871574 | − | 0.866540i | ||||
\(425\) | −6.91981 | − | 6.52850i | −0.335660 | − | 0.316679i | ||||
\(426\) | −27.4515 | + | 22.7106i | −1.33003 | + | 1.10033i | ||||
\(427\) | −24.5899 | + | 16.1731i | −1.18999 | + | 0.782669i | ||||
\(428\) | 0.743632 | + | 4.26549i | 0.0359448 | + | 0.206180i | ||||
\(429\) | 32.4932 | − | 32.1056i | 1.56879 | − | 1.55008i | ||||
\(430\) | 0.454187 | + | 5.24975i | 0.0219029 | + | 0.253166i | ||||
\(431\) | −13.6345 | + | 23.6157i | −0.656752 | + | 1.13753i | 0.324700 | + | 0.945817i | \(0.394737\pi\) |
−0.981452 | + | 0.191710i | \(0.938597\pi\) | |||||||
\(432\) | 18.6407 | + | 9.19363i | 0.896853 | + | 0.442329i | ||||
\(433\) | 6.07379 | + | 10.5201i | 0.291888 | + | 0.505565i | 0.974256 | − | 0.225444i | \(-0.0723832\pi\) |
−0.682368 | + | 0.731009i | \(0.739050\pi\) | |||||||
\(434\) | 23.8544 | − | 16.6688i | 1.14505 | − | 0.800126i | ||||
\(435\) | 7.66184 | + | 11.0832i | 0.367357 | + | 0.531398i | ||||
\(436\) | −4.98191 | − | 1.82417i | −0.238590 | − | 0.0873619i | ||||
\(437\) | 5.38922 | + | 2.70657i | 0.257801 | + | 0.129473i | ||||
\(438\) | −3.68372 | + | 20.0728i | −0.176015 | + | 0.959117i | ||||
\(439\) | −26.2082 | + | 7.84621i | −1.25085 | + | 0.374479i | −0.842673 | − | 0.538425i | \(-0.819019\pi\) |
−0.408174 | + | 0.912904i | \(0.633834\pi\) | |||||||
\(440\) | 2.31738 | − | 8.54946i | 0.110477 | − | 0.407580i | ||||
\(441\) | 19.2431 | + | 14.6881i | 0.916338 | + | 0.699433i | ||||
\(442\) | 21.2099 | − | 3.08588i | 1.00885 | − | 0.146781i | ||||
\(443\) | 2.37550 | + | 4.73001i | 0.112863 | + | 0.224730i | 0.942972 | − | 0.332872i | \(-0.108018\pi\) |
−0.830108 | + | 0.557602i | \(0.811722\pi\) | |||||||
\(444\) | −2.57846 | + | 2.53789i | −0.122368 | + | 0.120443i | ||||
\(445\) | 5.86915 | − | 2.53170i | 0.278224 | − | 0.120014i | ||||
\(446\) | 1.27878 | + | 3.22795i | 0.0605518 | + | 0.152848i | ||||
\(447\) | 4.30460 | − | 20.2334i | 0.203601 | − | 0.957009i | ||||
\(448\) | 8.73433 | + | 29.8019i | 0.412659 | + | 1.40801i | ||||
\(449\) | −16.0836 | + | 2.83598i | −0.759033 | + | 0.133838i | −0.539753 | − | 0.841824i | \(-0.681482\pi\) |
−0.219281 | + | 0.975662i | \(0.570371\pi\) | |||||||
\(450\) | −16.0527 | − | 8.92607i | −0.756730 | − | 0.420779i | ||||
\(451\) | −2.52633 | + | 14.3275i | −0.118960 | + | 0.674656i | ||||
\(452\) | −9.86338 | + | 2.31756i | −0.463934 | + | 0.109009i | ||||
\(453\) | −27.1540 | − | 21.7367i | −1.27581 | − | 1.02128i | ||||
\(454\) | 8.15962 | + | 4.40980i | 0.382950 | + | 0.206962i | ||||
\(455\) | −6.28871 | + | 21.0058i | −0.294819 | + | 0.984766i | ||||
\(456\) | −17.7272 | − | 10.4462i | −0.830152 | − | 0.489186i | ||||
\(457\) | −6.43466 | − | 8.64325i | −0.301001 | − | 0.404314i | 0.625730 | − | 0.780040i | \(-0.284801\pi\) |
−0.926731 | + | 0.375725i | \(0.877394\pi\) | |||||||
\(458\) | 5.85967 | + | 10.8926i | 0.273804 | + | 0.508977i | ||||
\(459\) | −10.4338 | + | 4.63859i | −0.487007 | + | 0.216511i | ||||
\(460\) | −1.29619 | + | 1.96249i | −0.0604350 | + | 0.0915017i | ||||
\(461\) | −12.2420 | + | 1.43089i | −0.570169 | + | 0.0666432i | −0.396293 | − | 0.918124i | \(-0.629703\pi\) |
−0.173876 | + | 0.984767i | \(0.555629\pi\) | |||||||
\(462\) | −35.4381 | + | 8.13871i | −1.64873 | + | 0.378647i | ||||
\(463\) | 1.40721 | + | 5.93750i | 0.0653988 | + | 0.275939i | 0.995913 | − | 0.0903163i | \(-0.0287878\pi\) |
−0.930514 | + | 0.366255i | \(0.880640\pi\) | |||||||
\(464\) | 34.0175 | − | 16.9201i | 1.57923 | − | 0.785495i | ||||
\(465\) | −7.12353 | − | 2.40801i | −0.330346 | − | 0.111669i | ||||
\(466\) | −14.7170 | + | 14.6886i | −0.681750 | + | 0.680435i | ||||
\(467\) | 16.0163 | − | 19.0874i | 0.741144 | − | 0.883261i | −0.255357 | − | 0.966847i | \(-0.582193\pi\) |
0.996501 | + | 0.0835862i | \(0.0266374\pi\) | |||||||
\(468\) | 38.2213 | − | 15.8593i | 1.76678 | − | 0.733094i | ||||
\(469\) | −21.7542 | − | 25.9256i | −1.00451 | − | 1.19713i | ||||
\(470\) | −0.719282 | − | 0.0636287i | −0.0331780 | − | 0.00293497i | ||||
\(471\) | 1.28444 | − | 36.5904i | 0.0591838 | − | 1.68600i | ||||
\(472\) | −9.81159 | + | 10.9611i | −0.451615 | + | 0.504526i | ||||
\(473\) | −2.01965 | + | 17.2792i | −0.0928636 | + | 0.794499i | ||||
\(474\) | −8.85787 | + | 6.49904i | −0.406856 | + | 0.298511i | ||||
\(475\) | 15.1918 | + | 9.99182i | 0.697048 | + | 0.458456i | ||||
\(476\) | −15.6525 | − | 6.78771i | −0.717432 | − | 0.311114i | ||||
\(477\) | 8.87737 | + | 25.3321i | 0.406467 | + | 1.15988i | ||||
\(478\) | −2.37347 | − | 7.18595i | −0.108560 | − | 0.328678i | ||||
\(479\) | 9.59120 | + | 2.27316i | 0.438233 | + | 0.103863i | 0.443809 | − | 0.896121i | \(-0.353627\pi\) |
−0.00557604 | + | 0.999984i | \(0.501775\pi\) | |||||||
\(480\) | 4.86129 | − | 6.38436i | 0.221886 | − | 0.291405i | ||||
\(481\) | 0.418821 | + | 7.19088i | 0.0190966 | + | 0.327876i | ||||
\(482\) | −22.3657 | + | 19.8651i | −1.01873 | + | 0.904831i | ||||
\(483\) | 9.61228 | + | 0.899111i | 0.437374 | + | 0.0409110i | ||||
\(484\) | 3.26389 | − | 6.46777i | 0.148359 | − | 0.293990i | ||||
\(485\) | 5.10640 | 0.231869 | ||||||||
\(486\) | −17.3184 | + | 13.6409i | −0.785578 | + | 0.618763i | ||||
\(487\) | − | 6.67541i | − | 0.302492i | −0.988496 | − | 0.151246i | \(-0.951671\pi\) | ||
0.988496 | − | 0.151246i | \(-0.0483285\pi\) | |||||||
\(488\) | 10.2322 | − | 18.8459i | 0.463188 | − | 0.853112i | ||||
\(489\) | −1.27249 | + | 13.6040i | −0.0575441 | + | 0.615196i | ||||
\(490\) | 6.98787 | − | 6.20660i | 0.315680 | − | 0.280386i | ||||
\(491\) | −40.4145 | + | 2.35387i | −1.82388 | + | 0.106229i | −0.935597 | − | 0.353070i | \(-0.885138\pi\) |
−0.888282 | + | 0.459299i | \(0.848101\pi\) | |||||||
\(492\) | −7.00772 | + | 11.1621i | −0.315932 | + | 0.503228i | ||||
\(493\) | −4.81348 | + | 20.3097i | −0.216788 | + | 0.914701i | ||||
\(494\) | −38.8989 | + | 12.8480i | −1.75014 | + | 0.578060i | ||||
\(495\) | 7.12423 | + | 6.12511i | 0.320210 | + | 0.275303i | ||||
\(496\) | −9.58923 | + | 18.9113i | −0.430569 | + | 0.849142i | ||||
\(497\) | 31.0269 | − | 47.1741i | 1.39175 | − | 2.11605i | ||||
\(498\) | 3.54612 | − | 2.60180i | 0.158905 | − | 0.116589i | ||||
\(499\) | −23.7603 | − | 2.77718i | −1.06366 | − | 0.124324i | −0.433780 | − | 0.901019i | \(-0.642820\pi\) |
−0.629876 | + | 0.776696i | \(0.716894\pi\) | |||||||
\(500\) | −9.84515 | + | 11.6871i | −0.440289 | + | 0.522663i | ||||
\(501\) | 9.58276 | + | 0.336385i | 0.428126 | + | 0.0150286i | ||||
\(502\) | 2.38120 | − | 26.9179i | 0.106278 | − | 1.20141i | ||||
\(503\) | 9.56393 | − | 8.02509i | 0.426434 | − | 0.357821i | −0.404170 | − | 0.914684i | \(-0.632440\pi\) |
0.830604 | + | 0.556863i | \(0.187995\pi\) | |||||||
\(504\) | −32.5168 | − | 5.25889i | −1.44841 | − | 0.234249i | ||||
\(505\) | −2.06029 | − | 1.72879i | −0.0916817 | − | 0.0769300i | ||||
\(506\) | −5.49587 | + | 5.48527i | −0.244321 | + | 0.243850i | ||||
\(507\) | 19.1725 | − | 56.7174i | 0.851482 | − | 2.51891i | ||||
\(508\) | −14.8380 | − | 25.8151i | −0.658328 | − | 1.14536i | ||||
\(509\) | −28.9191 | + | 6.85396i | −1.28182 | + | 0.303797i | −0.814433 | − | 0.580257i | \(-0.802952\pi\) |
−0.467385 | + | 0.884054i | \(0.654804\pi\) | |||||||
\(510\) | 0.986743 | + | 4.29654i | 0.0436937 | + | 0.190254i | ||||
\(511\) | −3.75474 | − | 32.1238i | −0.166100 | − | 1.42107i | ||||
\(512\) | −15.8604 | − | 16.1384i | −0.700937 | − | 0.713224i | ||||
\(513\) | 18.0998 | − | 12.1941i | 0.799125 | − | 0.538381i | ||||
\(514\) | −0.403260 | − | 0.749624i | −0.0177870 | − | 0.0330645i | ||||
\(515\) | 0.314463 | − | 0.234109i | 0.0138569 | − | 0.0103161i | ||||
\(516\) | −7.58942 | + | 13.8121i | −0.334106 | + | 0.608044i | ||||
\(517\) | −2.28384 | − | 0.683735i | −0.100443 | − | 0.0300706i | ||||
\(518\) | 2.72606 | − | 5.04414i | 0.119776 | − | 0.221627i | ||||
\(519\) | −21.7557 | + | 27.1779i | −0.954971 | + | 1.19298i | ||||
\(520\) | −3.18535 | − | 15.6555i | −0.139687 | − | 0.686538i | ||||
\(521\) | 39.3113 | + | 6.93165i | 1.72226 | + | 0.303681i | 0.945381 | − | 0.325969i | \(-0.105690\pi\) |
0.776879 | + | 0.629649i | \(0.216801\pi\) | |||||||
\(522\) | 0.649720 | + | 40.2926i | 0.0284375 | + | 1.76356i | ||||
\(523\) | 5.56394 | + | 31.5547i | 0.243294 | + | 1.37979i | 0.824421 | + | 0.565977i | \(0.191501\pi\) |
−0.581127 | + | 0.813813i | \(0.697388\pi\) | |||||||
\(524\) | −8.16050 | − | 19.0191i | −0.356493 | − | 0.830851i | ||||
\(525\) | 28.4714 | + | 6.05720i | 1.24259 | + | 0.264358i | ||||
\(526\) | 26.7948 | − | 10.6149i | 1.16831 | − | 0.462834i | ||||
\(527\) | −4.61376 | − | 10.6959i | −0.200979 | − | 0.465921i | ||||
\(528\) | 19.9635 | − | 17.4163i | 0.868802 | − | 0.757948i | ||||
\(529\) | −18.7112 | + | 9.39711i | −0.813529 | + | 0.408570i | ||||
\(530\) | 10.2553 | − | 1.49208i | 0.445464 | − | 0.0648116i | ||||
\(531\) | −6.00781 | − | 14.4004i | −0.260717 | − | 0.624924i | ||||
\(532\) | 31.7153 | + | 7.58136i | 1.37503 | + | 0.328694i | ||||
\(533\) | 7.52565 | + | 25.1374i | 0.325972 | + | 1.08882i | ||||
\(534\) | 18.8032 | + | 3.45072i | 0.813695 | + | 0.149327i | ||||
\(535\) | −0.795743 | + | 1.58446i | −0.0344030 | + | 0.0685020i | ||||
\(536\) | 22.8901 | + | 9.17050i | 0.988702 | + | 0.396105i | ||||
\(537\) | 33.9502 | − | 23.4699i | 1.46506 | − | 1.01280i | ||||
\(538\) | 19.7542 | − | 13.8037i | 0.851665 | − | 0.595118i | ||||
\(539\) | 26.7227 | − | 15.4284i | 1.15103 | − | 0.664546i | ||||
\(540\) | 3.88933 | + | 7.57062i | 0.167370 | + | 0.325788i | ||||
\(541\) | 16.7860 | + | 9.69139i | 0.721685 | + | 0.416665i | 0.815373 | − | 0.578936i | \(-0.196532\pi\) |
−0.0936873 | + | 0.995602i | \(0.529865\pi\) | |||||||
\(542\) | 8.41231 | − | 0.727799i | 0.361340 | − | 0.0312616i | ||||
\(543\) | 18.6991 | + | 18.9248i | 0.802454 | + | 0.812142i | ||||
\(544\) | 12.3886 | − | 1.02363i | 0.531156 | − | 0.0438877i | ||||
\(545\) | −1.19383 | − | 1.81513i | −0.0511380 | − | 0.0777516i | ||||
\(546\) | −50.5297 | + | 41.8032i | −2.16247 | + | 1.78901i | ||||
\(547\) | 20.2582 | − | 21.4725i | 0.866180 | − | 0.918097i | −0.131133 | − | 0.991365i | \(-0.541861\pi\) |
0.997312 | + | 0.0732679i | \(0.0233428\pi\) | |||||||
\(548\) | −14.0201 | + | 14.8030i | −0.598907 | + | 0.632354i | ||||
\(549\) | 13.3626 | + | 18.4062i | 0.570303 | + | 0.785556i | ||||
\(550\) | −18.3786 | + | 14.5031i | −0.783667 | + | 0.618415i | ||||
\(551\) | 2.31961 | − | 39.8261i | 0.0988185 | − | 1.69665i | ||||
\(552\) | −6.48345 | + | 2.72854i | −0.275954 | + | 0.116134i | ||||
\(553\) | 10.3972 | − | 13.9658i | 0.442132 | − | 0.593887i | ||||
\(554\) | 13.6808 | + | 2.01744i | 0.581242 | + | 0.0857126i | ||||
\(555\) | −1.46715 | + | 0.205922i | −0.0622769 | + | 0.00874089i | ||||
\(556\) | 31.6837 | + | 23.6829i | 1.34369 | + | 1.00438i | ||||
\(557\) | 15.5589 | + | 5.66297i | 0.659251 | + | 0.239948i | 0.649913 | − | 0.760008i | \(-0.274805\pi\) |
0.00933831 | + | 0.999956i | \(0.497027\pi\) | |||||||
\(558\) | −13.7191 | − | 17.8207i | −0.580774 | − | 0.754410i | ||||
\(559\) | 10.7316 | + | 29.4847i | 0.453897 | + | 1.24707i | ||||
\(560\) | −4.39562 | + | 11.9333i | −0.185749 | + | 0.504274i | ||||
\(561\) | 0.336014 | + | 14.5505i | 0.0141865 | + | 0.614321i | ||||
\(562\) | −0.803766 | − | 28.5724i | −0.0339048 | − | 1.20525i | ||||
\(563\) | 10.5369 | − | 9.94109i | 0.444079 | − | 0.418967i | −0.431447 | − | 0.902138i | \(-0.641997\pi\) |
0.875526 | + | 0.483171i | \(0.160515\pi\) | |||||||
\(564\) | −1.68340 | − | 1.35289i | −0.0708839 | − | 0.0569671i | ||||
\(565\) | −3.80970 | − | 1.64334i | −0.160275 | − | 0.0691360i | ||||
\(566\) | 0.124937 | − | 4.15579i | 0.00525148 | − | 0.174681i | ||||
\(567\) | 19.8934 | − | 28.7206i | 0.835443 | − | 1.20615i | ||||
\(568\) | −3.70423 | + | 40.9725i | −0.155426 | + | 1.71917i | ||||
\(569\) | −10.5843 | − | 4.56561i | −0.443716 | − | 0.191400i | 0.162487 | − | 0.986711i | \(-0.448049\pi\) |
−0.606202 | + | 0.795311i | \(0.707308\pi\) | |||||||
\(570\) | −3.28334 | − | 7.75981i | −0.137524 | − | 0.325023i | ||||
\(571\) | −0.869991 | − | 0.922137i | −0.0364080 | − | 0.0385902i | 0.708914 | − | 0.705295i | \(-0.249186\pi\) |
−0.745322 | + | 0.666705i | \(0.767704\pi\) | |||||||
\(572\) | 0.101838 | − | 52.7456i | 0.00425807 | − | 2.20540i | ||||
\(573\) | −26.6857 | + | 16.2397i | −1.11481 | + | 0.678425i | ||||
\(574\) | 5.42540 | − | 20.1700i | 0.226452 | − | 0.841879i | ||||
\(575\) | 5.84128 | − | 2.12605i | 0.243598 | − | 0.0886625i | ||||
\(576\) | 22.6951 | − | 7.80595i | 0.945629 | − | 0.325248i | ||||
\(577\) | 18.6567 | + | 6.79050i | 0.776690 | + | 0.282692i | 0.699792 | − | 0.714347i | \(-0.253276\pi\) |
0.0768983 | + | 0.997039i | \(0.475498\pi\) | |||||||
\(578\) | 9.88632 | − | 14.0902i | 0.411217 | − | 0.586073i | ||||
\(579\) | 2.90002 | + | 1.17230i | 0.120521 | + | 0.0487191i | ||||
\(580\) | 15.3165 | + | 2.73121i | 0.635983 | + | 0.113407i | ||||
\(581\) | −4.16235 | + | 5.59100i | −0.172683 | + | 0.231954i | ||||
\(582\) | 12.7012 | + | 8.48103i | 0.526482 | + | 0.351550i | ||||
\(583\) | 34.1567 | + | 1.98940i | 1.41463 | + | 0.0823926i | ||||
\(584\) | 13.4605 | + | 19.3425i | 0.556998 | + | 0.800399i | ||||
\(585\) | 16.4405 | + | 4.10545i | 0.679732 | + | 0.169739i | ||||
\(586\) | 16.5352 | − | 18.5443i | 0.683061 | − | 0.766059i | ||||
\(587\) | 2.88157 | + | 2.71862i | 0.118935 | + | 0.112209i | 0.743412 | − | 0.668834i | \(-0.233206\pi\) |
−0.624477 | + | 0.781043i | \(0.714688\pi\) | |||||||
\(588\) | 27.6893 | − | 3.83184i | 1.14189 | − | 0.158022i | ||||
\(589\) | 12.2343 | + | 18.6014i | 0.504107 | + | 0.766458i | ||||
\(590\) | −5.90083 | + | 1.21248i | −0.242933 | + | 0.0499172i | ||||
\(591\) | −32.3414 | − | 8.87417i | −1.33035 | − | 0.365035i | ||||
\(592\) | −0.0161317 | + | 4.17758i | −0.000663010 | + | 0.171698i | ||||
\(593\) | 17.4384 | + | 10.0681i | 0.716111 | + | 0.413447i | 0.813320 | − | 0.581817i | \(-0.197658\pi\) |
−0.0972086 | + | 0.995264i | \(0.530991\pi\) | |||||||
\(594\) | 7.54720 | + | 27.0674i | 0.309665 | + | 1.11059i | ||||
\(595\) | −3.49319 | − | 6.05039i | −0.143207 | − | 0.248042i | ||||
\(596\) | −13.0873 | − | 19.9821i | −0.536075 | − | 0.818500i | ||||
\(597\) | 2.98062 | + | 36.5963i | 0.121989 | + | 1.49779i | ||||
\(598\) | −4.41793 | + | 13.2896i | −0.180663 | + | 0.543452i | ||||
\(599\) | 20.9547 | + | 10.5238i | 0.856186 | + | 0.429993i | 0.822044 | − | 0.569424i | \(-0.192834\pi\) |
0.0341422 | + | 0.999417i | \(0.489130\pi\) | |||||||
\(600\) | −20.3712 | + | 5.90179i | −0.831651 | + | 0.240940i | ||||
\(601\) | −3.82481 | − | 12.7758i | −0.156017 | − | 0.521134i | 0.843864 | − | 0.536558i | \(-0.180276\pi\) |
−0.999881 | + | 0.0154234i | \(0.995090\pi\) | |||||||
\(602\) | 5.07422 | − | 24.4553i | 0.206810 | − | 0.996722i | ||||
\(603\) | −19.2382 | + | 17.7188i | −0.783438 | + | 0.721565i | ||||
\(604\) | −39.9008 | + | 4.58566i | −1.62354 | + | 0.186588i | ||||
\(605\) | 2.65111 | − | 1.33144i | 0.107783 | − | 0.0541306i | ||||
\(606\) | −2.25330 | − | 7.72189i | −0.0915340 | − | 0.313681i | ||||
\(607\) | −14.1489 | + | 6.10323i | −0.574285 | + | 0.247722i | −0.663357 | − | 0.748303i | \(-0.730869\pi\) |
0.0890724 | + | 0.996025i | \(0.471610\pi\) | |||||||
\(608\) | −22.9791 | + | 6.03849i | −0.931924 | + | 0.244893i | ||||
\(609\) | −19.7239 | − | 60.7416i | −0.799254 | − | 2.46138i | ||||
\(610\) | 7.96226 | − | 3.70351i | 0.322382 | − | 0.149951i | ||||
\(611\) | −4.23444 | + | 0.746646i | −0.171307 | + | 0.0302061i | ||||
\(612\) | −4.68164 | + | 12.3257i | −0.189244 | + | 0.498236i | ||||
\(613\) | −15.7816 | − | 2.78273i | −0.637414 | − | 0.112393i | −0.154404 | − | 0.988008i | \(-0.549346\pi\) |
−0.483010 | + | 0.875615i | \(0.660457\pi\) | |||||||
\(614\) | 29.1631 | − | 7.78406i | 1.17693 | − | 0.314139i | ||||
\(615\) | −5.02756 | + | 1.96248i | −0.202731 | + | 0.0791347i | ||||
\(616\) | −22.1449 | + | 35.6707i | −0.892243 | + | 1.43721i | ||||
\(617\) | 16.7204 | + | 5.00577i | 0.673139 | + | 0.201525i | 0.605090 | − | 0.796157i | \(-0.293137\pi\) |
0.0680494 | + | 0.997682i | \(0.478322\pi\) | |||||||
\(618\) | 1.17099 | − | 0.0600216i | 0.0471041 | − | 0.00241442i | ||||
\(619\) | 3.84052 | + | 5.15871i | 0.154363 | + | 0.207346i | 0.872577 | − | 0.488477i | \(-0.162447\pi\) |
−0.718214 | + | 0.695823i | \(0.755040\pi\) | |||||||
\(620\) | −7.76674 | + | 3.88184i | −0.311920 | + | 0.155898i | ||||
\(621\) | 0.351193 | − | 7.45263i | 0.0140929 | − | 0.299064i | ||||
\(622\) | −7.31050 | − | 4.51893i | −0.293124 | − | 0.181193i | ||||
\(623\) | −30.0920 | + | 3.51725i | −1.20561 | + | 0.140916i | ||||
\(624\) | 18.0787 | − | 44.2305i | 0.723726 | − | 1.77064i | ||||
\(625\) | 14.9738 | − | 3.54886i | 0.598953 | − | 0.141955i | ||||
\(626\) | −16.6024 | − | 26.9748i | −0.663564 | − | 1.07813i | ||||
\(627\) | −5.46173 | − | 27.2766i | −0.218121 | − | 1.08932i | ||||
\(628\) | −28.9528 | − | 30.8071i | −1.15534 | − | 1.22934i | ||||
\(629\) | −1.75811 | − | 1.47523i | −0.0701005 | − | 0.0588213i | ||||
\(630\) | −9.41338 | − | 9.66070i | −0.375038 | − | 0.384891i | ||||
\(631\) | −12.6547 | − | 15.0813i | −0.503776 | − | 0.600377i | 0.452889 | − | 0.891567i | \(-0.350393\pi\) |
−0.956665 | + | 0.291190i | \(0.905949\pi\) | |||||||
\(632\) | −1.87494 | + | 12.5466i | −0.0745811 | + | 0.499077i | ||||
\(633\) | 23.3220 | − | 37.3079i | 0.926967 | − | 1.48286i | ||||
\(634\) | −33.2120 | − | 26.3128i | −1.31902 | − | 1.04501i | ||||
\(635\) | 1.41552 | − | 12.1106i | 0.0561732 | − | 0.480593i | ||||
\(636\) | 27.9864 | + | 13.3215i | 1.10973 | + | 0.528231i | ||||
\(637\) | 30.5819 | − | 46.4976i | 1.21170 | − | 1.84230i | ||||
\(638\) | 47.7178 | + | 19.0104i | 1.88917 | + | 0.752630i | ||||
\(639\) | −37.5247 | − | 22.2695i | −1.48445 | − | 0.880967i | ||||
\(640\) | −1.28093 | − | 9.17690i | −0.0506334 | − | 0.362749i | ||||
\(641\) | −1.04538 | + | 4.41082i | −0.0412902 | + | 0.174217i | −0.989783 | − | 0.142581i | \(-0.954460\pi\) |
0.948493 | + | 0.316798i | \(0.102608\pi\) | |||||||
\(642\) | −4.61083 | + | 2.61941i | −0.181975 | + | 0.103380i | ||||
\(643\) | −1.47564 | − | 25.3358i | −0.0581936 | − | 0.999145i | −0.893415 | − | 0.449232i | \(-0.851698\pi\) |
0.835222 | − | 0.549914i | \(-0.185339\pi\) | |||||||
\(644\) | 8.55350 | − | 7.14914i | 0.337055 | − | 0.281716i | ||||
\(645\) | −5.86523 | + | 2.69228i | −0.230943 | + | 0.106008i | ||||
\(646\) | 5.52767 | − | 11.8243i | 0.217483 | − | 0.465221i | ||||
\(647\) | 17.4673 | 0.686710 | 0.343355 | − | 0.939206i | \(-0.388437\pi\) | ||||
0.343355 | + | 0.939206i | \(0.388437\pi\) | |||||||
\(648\) | −2.89979 | + | 25.2901i | −0.113914 | + | 0.993491i | ||||
\(649\) | −19.8886 | −0.780698 | ||||||||
\(650\) | −17.8823 | + | 38.2522i | −0.701400 | + | 1.50037i | ||||
\(651\) | 29.0727 | + | 20.6180i | 1.13945 | + | 0.808082i | ||||
\(652\) | 10.1180 | + | 12.1056i | 0.396252 | + | 0.474091i | ||||
\(653\) | −0.353055 | − | 6.06171i | −0.0138161 | − | 0.237213i | −0.998145 | − | 0.0608736i | \(-0.980611\pi\) |
0.984329 | − | 0.176340i | \(-0.0564257\pi\) | |||||||
\(654\) | 0.0452582 | − | 6.49758i | 0.00176973 | − | 0.254075i | ||||
\(655\) | 1.95444 | − | 8.24645i | 0.0763665 | − | 0.322215i | ||||
\(656\) | 3.45241 | + | 14.8217i | 0.134794 | + | 0.578690i | ||||
\(657\) | −24.6652 | + | 4.04459i | −0.962282 | + | 0.157795i | ||||
\(658\) | 3.17958 | + | 1.26672i | 0.123953 | + | 0.0493820i | ||||
\(659\) | 22.5179 | − | 34.2368i | 0.877172 | − | 1.33368i | −0.0647701 | − | 0.997900i | \(-0.520631\pi\) |
0.941942 | − | 0.335775i | \(-0.108998\pi\) | |||||||
\(660\) | 10.8146 | − | 0.859792i | 0.420959 | − | 0.0334674i | ||||
\(661\) | −4.77430 | + | 40.8467i | −0.185699 | + | 1.58875i | 0.503379 | + | 0.864066i | \(0.332090\pi\) |
−0.689078 | + | 0.724687i | \(0.741984\pi\) | |||||||
\(662\) | 2.79223 | + | 2.21219i | 0.108523 | + | 0.0859794i | ||||
\(663\) | 12.3195 | + | 23.1798i | 0.478451 | + | 0.900230i | ||||
\(664\) | 0.750604 | − | 5.02285i | 0.0291291 | − | 0.194924i | ||||
\(665\) | 8.58329 | + | 10.2292i | 0.332846 | + | 0.396670i | ||||
\(666\) | −3.99126 | − | 1.92454i | −0.154658 | − | 0.0745745i | ||||
\(667\) | −10.4474 | − | 8.76643i | −0.404526 | − | 0.339438i | ||||
\(668\) | 8.06816 | − | 7.58253i | 0.312167 | − | 0.293377i | ||||
\(669\) | −3.19351 | + | 2.80783i | −0.123468 | + | 0.108557i | ||||
\(670\) | 5.29276 | + | 8.59944i | 0.204477 | + | 0.332225i | ||||
\(671\) | 28.2105 | − | 6.68601i | 1.08905 | − | 0.258110i | ||||
\(672\) | −30.7529 | + | 22.3813i | −1.18632 | + | 0.863377i | ||||
\(673\) | 9.98055 | − | 1.16656i | 0.384722 | − | 0.0449675i | 0.0784660 | − | 0.996917i | \(-0.474998\pi\) |
0.306256 | + | 0.951949i | \(0.400924\pi\) | |||||||
\(674\) | −32.8194 | − | 20.2871i | −1.26416 | − | 0.781430i | ||||
\(675\) | 3.66039 | − | 22.1956i | 0.140889 | − | 0.854310i | ||||
\(676\) | −30.9072 | − | 61.8386i | −1.18874 | − | 2.37841i | ||||
\(677\) | 18.7892 | + | 25.2382i | 0.722126 | + | 0.969984i | 0.999956 | + | 0.00935389i | \(0.00297748\pi\) |
−0.277830 | + | 0.960630i | \(0.589615\pi\) | |||||||
\(678\) | −6.74654 | − | 10.4149i | −0.259099 | − | 0.399982i | ||||
\(679\) | −23.1869 | − | 6.94170i | −0.889831 | − | 0.266398i | ||||
\(680\) | 4.32474 | + | 2.68486i | 0.165846 | + | 0.102960i | ||||
\(681\) | −1.71376 | + | 11.2295i | −0.0656715 | + | 0.430315i | ||||
\(682\) | −27.6967 | + | 7.39265i | −1.06056 | + | 0.283079i | ||||
\(683\) | 18.9045 | + | 3.33338i | 0.723362 | + | 0.127548i | 0.523194 | − | 0.852214i | \(-0.324740\pi\) |
0.200167 | + | 0.979762i | \(0.435851\pi\) | |||||||
\(684\) | 4.72130 | − | 24.7542i | 0.180523 | − | 0.946502i | ||||
\(685\) | −8.22220 | + | 1.44980i | −0.314154 | + | 0.0553938i | ||||
\(686\) | −5.32322 | + | 2.47600i | −0.203241 | + | 0.0945343i | ||||
\(687\) | −10.1384 | + | 11.2557i | −0.386803 | + | 0.429431i | ||||
\(688\) | 5.15187 | + | 17.4535i | 0.196413 | + | 0.665407i | ||||
\(689\) | 56.6627 | − | 24.4419i | 2.15868 | − | 0.931162i | ||||
\(690\) | −2.79815 | − | 0.683793i | −0.106524 | − | 0.0260315i | ||||
\(691\) | −0.315445 | + | 0.158422i | −0.0120001 | + | 0.00602668i | −0.454789 | − | 0.890599i | \(-0.650285\pi\) |
0.442789 | + | 0.896626i | \(0.353989\pi\) | |||||||
\(692\) | 4.58968 | + | 39.9358i | 0.174473 | + | 1.51813i | ||||
\(693\) | −24.0228 | − | 37.4974i | −0.912551 | − | 1.42441i | ||||
\(694\) | −9.03707 | + | 43.5542i | −0.343042 | + | 1.65330i | ||||
\(695\) | 4.64574 | + | 15.5179i | 0.176223 | + | 0.588626i | ||||
\(696\) | 33.5607 | + | 32.2320i | 1.27212 | + | 1.22175i | ||||
\(697\) | −7.47126 | − | 3.75221i | −0.282994 | − | 0.142125i | ||||
\(698\) | −13.3812 | + | 40.2520i | −0.506486 | + | 1.52356i | ||||
\(699\) | −23.0150 | − | 10.9007i | −0.870507 | − | 0.412301i | ||||
\(700\) | 28.1178 | − | 18.4157i | 1.06275 | − | 0.696047i | ||||
\(701\) | −16.3103 | − | 28.2503i | −0.616033 | − | 1.06700i | −0.990202 | − | 0.139640i | \(-0.955405\pi\) |
0.374169 | − | 0.927360i | \(-0.377928\pi\) | |||||||
\(702\) | 34.0741 | + | 37.5170i | 1.28604 | + | 1.41599i | ||||
\(703\) | 3.79889 | + | 2.19329i | 0.143278 | + | 0.0827214i | ||||
\(704\) | 1.95559 | − | 30.5288i | 0.0737040 | − | 1.15060i | ||||
\(705\) | −0.223764 | − | 0.855600i | −0.00842744 | − | 0.0322238i | ||||
\(706\) | 13.6105 | − | 2.79665i | 0.512239 | − | 0.105253i | ||||
\(707\) | 7.00513 | + | 10.6508i | 0.263455 | + | 0.400564i | ||||
\(708\) | −16.6910 | − | 6.78465i | −0.627285 | − | 0.254983i | ||||
\(709\) | −15.2795 | − | 14.4154i | −0.573833 | − | 0.541383i | 0.343681 | − | 0.939086i | \(-0.388326\pi\) |
−0.917514 | + | 0.397703i | \(0.869807\pi\) | |||||||
\(710\) | −11.2117 | + | 12.5740i | −0.420767 | + | 0.471894i | ||||
\(711\) | −11.1523 | − | 7.52826i | −0.418245 | − | 0.282332i | ||||
\(712\) | 18.1191 | − | 12.6091i | 0.679042 | − | 0.472546i | ||||
\(713\) | 7.59841 | + | 0.442557i | 0.284563 | + | 0.0165739i | ||||
\(714\) | 1.36021 | − | 20.8509i | 0.0509048 | − | 0.780326i | ||||
\(715\) | 12.8982 | − | 17.3252i | 0.482364 | − | 0.647927i | ||||
\(716\) | 8.36631 | − | 46.9178i | 0.312664 | − | 1.75340i | ||||
\(717\) | 7.30479 | − | 5.70498i | 0.272802 | − | 0.213057i | ||||
\(718\) | −12.9706 | + | 18.4860i | −0.484060 | + | 0.689891i | ||||
\(719\) | −21.6669 | − | 7.88611i | −0.808039 | − | 0.294102i | −0.0952257 | − | 0.995456i | \(-0.530357\pi\) |
−0.712814 | + | 0.701353i | \(0.752580\pi\) | |||||||
\(720\) | 9.36917 | + | 2.96766i | 0.349168 | + | 0.110598i | ||||
\(721\) | −1.74615 | + | 0.635545i | −0.0650299 | + | 0.0236689i | ||||
\(722\) | 0.499352 | − | 1.85644i | 0.0185840 | − | 0.0690895i | ||||
\(723\) | −32.1430 | − | 17.5811i | −1.19541 | − | 0.653848i | ||||
\(724\) | 30.7203 | + | 0.0593129i | 1.14171 | + | 0.00220435i | ||||
\(725\) | −28.2186 | − | 29.9100i | −1.04801 | − | 1.11083i | ||||
\(726\) | 8.80547 | + | 1.09143i | 0.326802 | + | 0.0405069i | ||||
\(727\) | 28.5210 | + | 12.3028i | 1.05779 | + | 0.456285i | 0.852668 | − | 0.522453i | \(-0.174983\pi\) |
0.205118 | + | 0.978737i | \(0.434242\pi\) | |||||||
\(728\) | −6.81835 | + | 75.4179i | −0.252705 | + | 2.79517i | ||||
\(729\) | −22.8816 | − | 14.3328i | −0.847468 | − | 0.530846i | ||||
\(730\) | −0.289975 | + | 9.64551i | −0.0107325 | + | 0.356996i | ||||
\(731\) | −9.17975 | − | 3.95976i | −0.339525 | − | 0.146457i | ||||
\(732\) | 25.9556 | + | 4.01245i | 0.959348 | + | 0.148305i | ||||
\(733\) | 34.2716 | − | 32.3336i | 1.26585 | − | 1.19427i | 0.294756 | − | 0.955573i | \(-0.404762\pi\) |
0.971094 | − | 0.238695i | \(-0.0767198\pi\) | |||||||
\(734\) | −0.727131 | − | 25.8482i | −0.0268389 | − | 0.954073i | ||||
\(735\) | 10.0427 | + | 5.49299i | 0.370430 | + | 0.202612i | ||||
\(736\) | −3.03524 | + | 7.53397i | −0.111880 | + | 0.277706i | ||||
\(737\) | 11.4021 | + | 31.3271i | 0.420003 | + | 1.15395i | ||||
\(738\) | −15.7645 | − | 3.46880i | −0.580300 | − | 0.127688i | ||||
\(739\) | 31.6994 | + | 11.5376i | 1.16608 | + | 0.424418i | 0.851266 | − | 0.524735i | \(-0.175836\pi\) |
0.314814 | + | 0.949153i | \(0.398058\pi\) | |||||||
\(740\) | −1.02422 | + | 1.37023i | −0.0376511 | + | 0.0503708i | ||||
\(741\) | −30.8821 | − | 39.5422i | −1.13448 | − | 1.45262i | ||||
\(742\) | −48.5953 | − | 7.16610i | −1.78399 | − | 0.263076i | ||||
\(743\) | 16.8391 | − | 22.6189i | 0.617767 | − | 0.829805i | −0.377598 | − | 0.925970i | \(-0.623250\pi\) |
0.995365 | + | 0.0961641i | \(0.0306574\pi\) | |||||||
\(744\) | −25.7655 | − | 3.24414i | −0.944609 | − | 0.118936i | ||||
\(745\) | 0.568740 | − | 9.76488i | 0.0208370 | − | 0.357758i | ||||
\(746\) | 18.9533 | − | 14.9566i | 0.693931 | − | 0.547602i | ||||
\(747\) | 4.46467 | + | 3.01383i | 0.163354 | + | 0.110270i | ||||
\(748\) | 12.2019 | + | 11.5565i | 0.446145 | + | 0.422547i | ||||
\(749\) | 5.76720 | − | 6.11288i | 0.210729 | − | 0.223360i | ||||
\(750\) | −17.5419 | − | 6.52344i | −0.640539 | − | 0.238203i | ||||
\(751\) | −17.0647 | − | 25.9456i | −0.622699 | − | 0.946767i | −0.999788 | − | 0.0205903i | \(-0.993445\pi\) |
0.377089 | − | 0.926177i | \(-0.376925\pi\) | |||||||
\(752\) | −2.47800 | + | 0.279942i | −0.0903635 | + | 0.0102084i | ||||
\(753\) | 32.0194 | − | 8.37401i | 1.16685 | − | 0.305166i | ||||
\(754\) | 92.2976 | − | 7.98522i | 3.36128 | − | 0.290804i | ||||
\(755\) | −14.2434 | − | 8.22340i | −0.518369 | − | 0.299280i | ||||
\(756\) | −7.36891 | − | 39.6635i | −0.268005 | − | 1.44255i | ||||
\(757\) | 1.94408 | − | 1.12241i | 0.0706587 | − | 0.0407948i | −0.464254 | − | 0.885702i | \(-0.653678\pi\) |
0.534913 | + | 0.844907i | \(0.320344\pi\) | |||||||
\(758\) | −29.0589 | + | 20.3055i | −1.05547 | + | 0.737527i | ||||
\(759\) | −8.59468 | − | 4.07072i | −0.311967 | − | 0.147758i | ||||
\(760\) | −9.03149 | − | 3.61830i | −0.327607 | − | 0.131250i | ||||
\(761\) | −10.0533 | + | 20.0179i | −0.364434 | + | 0.725647i | −0.998880 | − | 0.0473202i | \(-0.984932\pi\) |
0.634446 | + | 0.772967i | \(0.281228\pi\) | |||||||
\(762\) | 23.6348 | − | 27.7717i | 0.856200 | − | 1.00606i | ||||
\(763\) | 2.95337 | + | 9.86496i | 0.106919 | + | 0.357135i | ||||
\(764\) | −8.38636 | + | 35.0829i | −0.303408 | + | 1.26925i | ||||
\(765\) | −4.54621 | + | 2.91254i | −0.164368 | + | 0.105303i | ||||
\(766\) | −14.4232 | + | 2.09847i | −0.521133 | + | 0.0758210i | ||||
\(767\) | −32.0557 | + | 16.0990i | −1.15746 | + | 0.581300i | ||||
\(768\) | 12.0555 | − | 24.9533i | 0.435015 | − | 0.900423i | ||||
\(769\) | −3.23737 | − | 7.50506i | −0.116742 | − | 0.270639i | 0.849819 | − | 0.527075i | \(-0.176711\pi\) |
−0.966561 | + | 0.256435i | \(0.917452\pi\) | |||||||
\(770\) | −15.9844 | + | 6.33234i | −0.576038 | + | 0.228202i | ||||
\(771\) | 0.697718 | − | 0.774610i | 0.0251277 | − | 0.0278969i | ||||
\(772\) | 3.31927 | − | 1.42420i | 0.119463 | − | 0.0512580i | ||||
\(773\) | −6.31130 | − | 35.7932i | −0.227002 | − | 1.28739i | −0.858821 | − | 0.512275i | \(-0.828803\pi\) |
0.631820 | − | 0.775115i | \(-0.282308\pi\) | |||||||
\(774\) | −19.0602 | − | 3.04482i | −0.685103 | − | 0.109444i | ||||
\(775\) | 22.6002 | + | 3.98503i | 0.811823 | + | 0.143146i | ||||
\(776\) | 17.2811 | − | 3.51610i | 0.620354 | − | 0.126221i | ||||
\(777\) | 6.94189 | + | 1.05942i | 0.249039 | + | 0.0380064i | ||||
\(778\) | 13.1950 | − | 24.4153i | 0.473065 | − | 0.875330i | ||||
\(779\) | 15.3084 | + | 4.58303i | 0.548480 | + | 0.164204i | ||||
\(780\) | 16.7346 | − | 10.1397i | 0.599195 | − | 0.363061i | ||||
\(781\) | −44.6134 | + | 33.2134i | −1.59639 | + | 1.18847i | ||||
\(782\) | −2.11397 | − | 3.92967i | −0.0755953 | − | 0.140525i | ||||
\(783\) | −46.1881 | + | 17.3935i | −1.65063 | + | 0.621593i | ||||
\(784\) | 19.3747 | − | 25.8160i | 0.691953 | − | 0.922000i | ||||
\(785\) | −2.00984 | − | 17.1953i | −0.0717342 | − | 0.613725i | ||||
\(786\) | 18.5575 | − | 17.2654i | 0.661926 | − | 0.615837i | ||||
\(787\) | 6.25500 | − | 1.48246i | 0.222967 | − | 0.0528440i | −0.117614 | − | 0.993059i | \(-0.537525\pi\) |
0.340581 | + | 0.940215i | \(0.389376\pi\) | |||||||
\(788\) | −33.5742 | + | 19.2977i | −1.19603 | + | 0.687453i | ||||
\(789\) | 23.3074 | + | 26.5089i | 0.829765 | + | 0.943741i | ||||
\(790\) | −3.67686 | + | 3.66977i | −0.130817 | + | 0.130564i | ||||
\(791\) | 15.0649 | + | 12.6410i | 0.535647 | + | 0.449461i | ||||
\(792\) | 28.3273 | + | 15.8231i | 1.00657 | + | 0.562248i | ||||
\(793\) | 40.0564 | − | 33.6113i | 1.42245 | − | 1.19357i | ||||
\(794\) | 0.694452 | − | 7.85033i | 0.0246452 | − | 0.278598i | ||||
\(795\) | 5.95669 | + | 11.2078i | 0.211262 | + | 0.397501i | ||||
\(796\) | 32.4258 | + | 27.3154i | 1.14930 | + | 0.968167i | ||||
\(797\) | 12.9480 | + | 1.51340i | 0.458640 | + | 0.0536074i | 0.342276 | − | 0.939599i | \(-0.388802\pi\) |
0.116364 | + | 0.993207i | \(0.462876\pi\) | |||||||
\(798\) | 4.36005 | + | 39.6988i | 0.154344 | + | 1.40532i | ||||
\(799\) | 0.752826 | − | 1.14462i | 0.0266331 | − | 0.0404936i | ||||
\(800\) | −11.7268 | + | 21.4997i | −0.414606 | + | 0.760130i | ||||
\(801\) | 3.78877 | + | 23.1051i | 0.133870 | + | 0.816380i | ||||
\(802\) | 22.0148 | − | 7.27134i | 0.777370 | − | 0.256760i | ||||
\(803\) | −7.34722 | + | 31.0004i | −0.259278 | + | 1.09398i | ||||
\(804\) | −1.11776 | + | 30.1800i | −0.0394203 | + | 1.06437i | ||||
\(805\) | 4.55725 | − | 0.265430i | 0.160622 | − | 0.00935517i | ||||
\(806\) | −38.6563 | + | 34.3344i | −1.36161 | + | 1.20938i | ||||
\(807\) | 24.0756 | + | 17.0741i | 0.847500 | + | 0.601036i | ||||
\(808\) | −8.16281 | − | 4.43191i | −0.287167 | − | 0.155914i | ||||
\(809\) | 36.5077i | 1.28354i | 0.766897 | + | 0.641771i | \(0.221800\pi\) | ||||
−0.766897 | + | 0.641771i | \(0.778200\pi\) | |||||||
\(810\) | −7.12212 | + | 7.61165i | −0.250246 | + | 0.267446i | ||||
\(811\) | −13.5774 | −0.476766 | −0.238383 | − | 0.971171i | \(-0.576617\pi\) | ||||
−0.238383 | + | 0.971171i | \(0.576617\pi\) | |||||||
\(812\) | −65.8356 | − | 33.2232i | −2.31038 | − | 1.16591i | ||||
\(813\) | 4.31416 | + | 9.39856i | 0.151304 | + | 0.329622i | ||||
\(814\) | −4.22279 | + | 3.75067i | −0.148009 | + | 0.131461i | ||||
\(815\) | 0.375657 | + | 6.44977i | 0.0131587 | + | 0.225926i | ||||
\(816\) | 6.29779 | + | 13.8609i | 0.220467 | + | 0.485229i | ||||
\(817\) | 18.5931 | + | 4.40665i | 0.650491 | + | 0.154169i | ||||
\(818\) | 8.43130 | + | 25.5267i | 0.294794 | + | 0.892522i | ||||
\(819\) | −69.0714 | − | 40.9913i | −2.41355 | − | 1.43235i | ||||
\(820\) | −2.47938 | + | 5.71748i | −0.0865838 | + | 0.199663i | ||||
\(821\) | 17.3208 | + | 11.3921i | 0.604499 | + | 0.397585i | 0.814540 | − | 0.580107i | \(-0.196989\pi\) |
−0.210041 | + | 0.977693i | \(0.567360\pi\) | |||||||
\(822\) | −22.8591 | − | 10.0499i | −0.797302 | − | 0.350529i | ||||
\(823\) | −0.238691 | + | 2.04213i | −0.00832023 | + | 0.0711841i | −0.996761 | − | 0.0804263i | \(-0.974372\pi\) |
0.988440 | + | 0.151610i | \(0.0484459\pi\) | |||||||
\(824\) | 0.903004 | − | 1.00880i | 0.0314576 | − | 0.0351432i | ||||
\(825\) | −24.3138 | − | 15.1991i | −0.846497 | − | 0.529164i | ||||
\(826\) | 28.4425 | + | 2.51606i | 0.989640 | + | 0.0875450i | ||||
\(827\) | 17.7386 | + | 21.1400i | 0.616831 | + | 0.735111i | 0.980522 | − | 0.196409i | \(-0.0629281\pi\) |
−0.363691 | + | 0.931520i | \(0.618484\pi\) | |||||||
\(828\) | −5.82418 | − | 6.34815i | −0.202404 | − | 0.220614i | ||||
\(829\) | 12.8237 | − | 15.2827i | 0.445385 | − | 0.530789i | −0.495910 | − | 0.868374i | \(-0.665166\pi\) |
0.941295 | + | 0.337585i | \(0.109610\pi\) | |||||||
\(830\) | 1.47198 | − | 1.46914i | 0.0510930 | − | 0.0509945i | ||||
\(831\) | 3.32532 | + | 16.6070i | 0.115354 | + | 0.576092i | ||||
\(832\) | −21.5597 | − | 50.7879i | −0.747449 | − | 1.76075i | ||||
\(833\) | 4.08935 | + | 17.2543i | 0.141688 | + | 0.597827i | ||||
\(834\) | −14.2177 | + | 46.3137i | −0.492317 | + | 1.60371i | ||||
\(835\) | 4.50331 | − | 0.526361i | 0.155843 | − | 0.0182155i | ||||
\(836\) | −26.8030 | − | 17.7028i | −0.927000 | − | 0.612265i | ||||
\(837\) | 14.8797 | − | 23.1793i | 0.514317 | − | 0.801193i | ||||
\(838\) | −8.50222 | − | 15.8049i | −0.293704 | − | 0.545970i | ||||
\(839\) | −13.9845 | − | 18.7844i | −0.482799 | − | 0.648511i | 0.492263 | − | 0.870447i | \(-0.336170\pi\) |
−0.975061 | + | 0.221936i | \(0.928763\pi\) | |||||||
\(840\) | −15.5746 | − | 0.138556i | −0.537375 | − | 0.00478062i | ||||
\(841\) | −17.5574 | + | 58.6459i | −0.605429 | + | 2.02227i | ||||
\(842\) | −24.7816 | − | 13.3930i | −0.854030 | − | 0.461554i | ||||
\(843\) | 32.6113 | − | 12.7296i | 1.12319 | − | 0.438432i | ||||
\(844\) | −11.6208 | − | 49.4573i | −0.400004 | − | 1.70239i | ||||
\(845\) | 4.91589 | − | 27.8794i | 0.169112 | − | 0.959080i | ||||
\(846\) | 0.864465 | − | 2.49979i | 0.0297209 | − | 0.0859444i | ||||
\(847\) | −13.8480 | + | 2.44178i | −0.475823 | + | 0.0839004i | ||||
\(848\) | 33.6787 | − | 12.1110i | 1.15653 | − | 0.415893i | ||||
\(849\) | 4.84315 | − | 1.57266i | 0.166216 | − | 0.0539735i | ||||
\(850\) | −4.95523 | − | 12.5082i | −0.169963 | − | 0.429029i | ||||
\(851\) | 1.37696 | − | 0.593965i | 0.0472017 | − | 0.0203608i | ||||
\(852\) | −48.7706 | + | 12.6544i | −1.67085 | + | 0.433531i | ||||
\(853\) | 23.5330 | + | 46.8581i | 0.805755 | + | 1.60439i | 0.796656 | + | 0.604432i | \(0.206600\pi\) |
0.00909902 | + | 0.999959i | \(0.497104\pi\) | |||||||
\(854\) | −41.1892 | + | 5.99273i | −1.40947 | + | 0.205067i | ||||
\(855\) | 7.59058 | − | 6.99110i | 0.259592 | − | 0.239091i | ||||
\(856\) | −1.60195 | + | 5.91003i | −0.0547535 | + | 0.202001i | ||||
\(857\) | −7.15942 | + | 2.14339i | −0.244561 | + | 0.0732168i | −0.406738 | − | 0.913545i | \(-0.633334\pi\) |
0.162177 | + | 0.986762i | \(0.448149\pi\) | |||||||
\(858\) | 60.8566 | − | 21.6712i | 2.07761 | − | 0.739841i | ||||
\(859\) | −27.3988 | − | 13.7602i | −0.934834 | − | 0.469491i | −0.0849051 | − | 0.996389i | \(-0.527059\pi\) |
−0.849929 | + | 0.526898i | \(0.823355\pi\) | |||||||
\(860\) | −2.56225 | + | 6.99766i | −0.0873720 | + | 0.238618i | ||||
\(861\) | 25.4967 | − | 2.07660i | 0.868926 | − | 0.0707705i | ||||
\(862\) | −31.6113 | + | 22.0890i | −1.07669 | + | 0.752356i | ||||
\(863\) | 8.23093 | + | 14.2564i | 0.280184 | + | 0.485293i | 0.971430 | − | 0.237327i | \(-0.0762711\pi\) |
−0.691246 | + | 0.722620i | \(0.742938\pi\) | |||||||
\(864\) | 18.3752 | + | 22.9424i | 0.625136 | + | 0.780516i | ||||
\(865\) | −8.23061 | + | 14.2558i | −0.279849 | + | 0.484713i | ||||
\(866\) | 1.48075 | + | 17.1153i | 0.0503180 | + | 0.581603i | ||||
\(867\) | 20.3296 | + | 5.57823i | 0.690428 | + | 0.189447i | ||||
\(868\) | 40.5438 | − | 7.06829i | 1.37615 | − | 0.239913i | ||||
\(869\) | −14.3293 | + | 9.42454i | −0.486089 | + | 0.319706i | ||||
\(870\) | 3.17803 | + | 18.7878i | 0.107745 | + | 0.636967i | ||||
\(871\) | 43.7354 | + | 41.2622i | 1.48192 | + | 1.39812i | ||||
\(872\) | −5.28999 | − | 5.32072i | −0.179142 | − | 0.180182i | ||||
\(873\) | −4.53173 | + | 18.1476i | −0.153376 | + | 0.614204i | ||||
\(874\) | 5.28333 | + | 6.69513i | 0.178711 | + | 0.226466i | ||||
\(875\) | 29.6101 | + | 1.72459i | 1.00100 | + | 0.0583019i | ||||
\(876\) | −16.7411 | + | 23.5098i | −0.565631 | + | 0.794322i | ||||
\(877\) | −32.9381 | − | 24.5215i | −1.11224 | − | 0.828033i | −0.125785 | − | 0.992057i | \(-0.540145\pi\) |
−0.986456 | + | 0.164024i | \(0.947552\pi\) | |||||||
\(878\) | −38.2754 | − | 5.64426i | −1.29173 | − | 0.190485i | ||||
\(879\) | 28.2117 | + | 11.4042i | 0.951556 | + | 0.384655i | ||||
\(880\) | 8.08923 | − | 9.56512i | 0.272688 | − | 0.322440i | ||||
\(881\) | −5.07813 | + | 13.9520i | −0.171086 | + | 0.470056i | −0.995370 | − | 0.0961216i | \(-0.969356\pi\) |
0.824283 | + | 0.566178i | \(0.191578\pi\) | |||||||
\(882\) | 15.8562 | + | 30.3423i | 0.533905 | + | 1.02168i | ||||
\(883\) | −26.4536 | + | 9.62834i | −0.890236 | + | 0.324019i | −0.746333 | − | 0.665572i | \(-0.768187\pi\) |
−0.143903 | + | 0.989592i | \(0.545965\pi\) | |||||||
\(884\) | 29.0209 | + | 8.74939i | 0.976080 | + | 0.294274i | ||||
\(885\) | −3.83553 | − | 6.30266i | −0.128930 | − | 0.211862i | ||||
\(886\) | 0.210489 | + | 7.48249i | 0.00707152 | + | 0.251379i | ||||
\(887\) | 1.98282 | + | 2.10167i | 0.0665767 | + | 0.0705671i | 0.759806 | − | 0.650150i | \(-0.225294\pi\) |
−0.693229 | + | 0.720717i | \(0.743813\pi\) | |||||||
\(888\) | −4.82333 | + | 1.70711i | −0.161860 | + | 0.0572869i | ||||
\(889\) | −22.8908 | + | 53.0668i | −0.767732 | + | 1.77980i | ||||
\(890\) | 9.03543 | + | 0.271634i | 0.302868 | + | 0.00910521i | ||||
\(891\) | −28.0905 | + | 19.8830i | −0.941067 | + | 0.666105i | ||||
\(892\) | −0.294965 | + | 4.90131i | −0.00987617 | + | 0.164108i | ||||
\(893\) | −1.03714 | + | 2.40435i | −0.0347064 | + | 0.0804585i | ||||
\(894\) | 17.6328 | − | 23.3437i | 0.589728 | − | 0.780730i | ||||
\(895\) | 14.1953 | − | 13.3925i | 0.474495 | − | 0.447663i | ||||
\(896\) | −6.65878 | + | 43.4113i | −0.222454 | + | 1.45027i | ||||
\(897\) | −17.1476 | + | 0.395990i | −0.572542 | + | 0.0132217i | ||||
\(898\) | −22.3038 | − | 5.99937i | −0.744287 | − | 0.200201i | ||||
\(899\) | −17.2205 | − | 47.3130i | −0.574336 | − | 1.57798i | ||||
\(900\) | −15.2197 | − | 21.0496i | −0.507325 | − | 0.701653i | ||||
\(901\) | −6.72479 | + | 18.4762i | −0.224035 | + | 0.615532i | ||||
\(902\) | −11.8175 | + | 16.8424i | −0.393478 | + | 0.560792i | ||||
\(903\) | 30.2925 | − | 4.25170i | 1.00807 | − | 0.141488i | ||||
\(904\) | −14.0243 | − | 2.93816i | −0.466442 | − | 0.0977219i | ||||
\(905\) | 10.0906 | + | 7.51219i | 0.335424 | + | 0.249714i | ||||
\(906\) | −21.7697 | − | 44.1104i | −0.723250 | − | 1.46547i | ||||
\(907\) | 0.553127 | − | 9.49683i | 0.0183663 | − | 0.315337i | −0.976596 | − | 0.215084i | \(-0.930998\pi\) |
0.994962 | − | 0.100253i | \(-0.0319654\pi\) | |||||||
\(908\) | 7.81250 | + | 10.5364i | 0.259267 | + | 0.349663i | ||||
\(909\) | 7.97236 | − | 5.78783i | 0.264427 | − | 0.191970i | ||||
\(910\) | −20.6372 | + | 23.1449i | −0.684118 | + | 0.767245i | ||||
\(911\) | −15.1309 | + | 16.0378i | −0.501310 | + | 0.531357i | −0.927772 | − | 0.373148i | \(-0.878278\pi\) |
0.426462 | + | 0.904505i | \(0.359760\pi\) | |||||||
\(912\) | −16.4546 | − | 23.9999i | −0.544867 | − | 0.794717i | ||||
\(913\) | 5.73653 | − | 3.77297i | 0.189851 | − | 0.124867i | ||||
\(914\) | −3.06715 | − | 14.9270i | −0.101452 | − | 0.493740i | ||||
\(915\) | 7.55918 | + | 7.65044i | 0.249899 | + | 0.252916i | ||||
\(916\) | 0.983350 | + | 17.4643i | 0.0324908 | + | 0.577037i | ||||
\(917\) | −20.0850 | + | 34.7882i | −0.663264 | + | 1.14881i | ||||
\(918\) | −16.1452 | − | 0.306231i | −0.532870 | − | 0.0101071i | ||||
\(919\) | −21.8212 | + | 12.5985i | −0.719816 | + | 0.415586i | −0.814685 | − | 0.579904i | \(-0.803090\pi\) |
0.0948692 | + | 0.995490i | \(0.469757\pi\) | |||||||
\(920\) | −2.83595 | + | 1.73792i | −0.0934983 | + | 0.0572975i | ||||
\(921\) | 21.0218 | + | 30.4089i | 0.692691 | + | 1.00201i | ||||
\(922\) | −16.5407 | − | 5.49871i | −0.544739 | − | 0.181091i | ||||
\(923\) | −45.0211 | + | 89.6445i | −1.48189 | + | 2.95068i | ||||
\(924\) | −50.2754 | − | 10.7974i | −1.65394 | − | 0.355209i | ||||
\(925\) | 4.33153 | − | 1.29678i | 0.142420 | − | 0.0426377i | ||||
\(926\) | −1.75320 | + | 8.44954i | −0.0576136 | + | 0.277669i | ||||
\(927\) | 0.552925 | + | 1.32533i | 0.0181604 | + | 0.0435296i | ||||
\(928\) | 53.7147 | − | 1.30348i | 1.76327 | − | 0.0427888i | ||||
\(929\) | −22.4551 | − | 44.7117i | −0.736727 | − | 1.46694i | −0.878852 | − | 0.477095i | \(-0.841690\pi\) |
0.142125 | − | 0.989849i | \(-0.454606\pi\) | |||||||
\(930\) | −7.68402 | − | 7.35133i | −0.251969 | − | 0.241060i | ||||
\(931\) | −13.4240 | − | 31.1203i | −0.439953 | − | 1.01993i | ||||
\(932\) | −27.6515 | + | 10.0039i | −0.905756 | + | 0.327689i | ||||
\(933\) | 2.19035 | − | 10.2956i | 0.0717088 | − | 0.337062i | ||||
\(934\) | 31.9506 | − | 14.8613i | 1.04546 | − | 0.486276i | ||||
\(935\) | 1.19504 | + | 6.77742i | 0.0390821 | + | 0.221645i | ||||
\(936\) | 58.4649 | + | 2.57322i | 1.91098 | + | 0.0841084i | ||||
\(937\) | 7.26386 | − | 41.1954i | 0.237300 | − | 1.34580i | −0.600416 | − | 0.799688i | \(-0.704998\pi\) |
0.837716 | − | 0.546107i | \(-0.183891\pi\) | |||||||
\(938\) | −12.3429 | − | 46.2430i | −0.403011 | − | 1.50989i | ||||
\(939\) | 24.2431 | − | 30.2851i | 0.791144 | − | 0.988318i | ||||
\(940\) | −0.883389 | − | 0.512302i | −0.0288130 | − | 0.0167094i | ||||
\(941\) | −9.75002 | + | 32.5673i | −0.317842 | + | 1.06166i | 0.638551 | + | 0.769580i | \(0.279534\pi\) |
−0.956392 | + | 0.292085i | \(0.905651\pi\) | |||||||
\(942\) | 23.5599 | − | 46.1080i | 0.767623 | − | 1.50228i | ||||
\(943\) | 4.38189 | − | 3.26220i | 0.142694 | − | 0.106232i | ||||
\(944\) | −19.1347 | + | 8.16641i | −0.622781 | + | 0.265794i | ||||
\(945\) | 7.25002 | − | 14.8441i | 0.235843 | − | 0.482880i | ||||
\(946\) | −12.9361 | + | 20.9274i | −0.420590 | + | 0.680409i | ||||
\(947\) | −3.09672 | − | 26.4941i | −0.100630 | − | 0.860943i | −0.945422 | − | 0.325849i | \(-0.894350\pi\) |
0.844792 | − | 0.535095i | \(-0.179724\pi\) | |||||||
\(948\) | −15.2405 | + | 3.02109i | −0.494988 | + | 0.0981204i | ||||
\(949\) | 13.2515 | + | 55.9123i | 0.430161 | + | 1.81499i | ||||
\(950\) | 13.4786 | + | 21.8994i | 0.437303 | + | 0.710510i | ||||
\(951\) | 16.6186 | − | 49.1622i | 0.538894 | − | 1.59419i | ||||
\(952\) | −15.9878 | − | 18.0704i | −0.518166 | − | 0.585665i | ||||
\(953\) | −23.6691 | + | 28.2077i | −0.766717 | + | 0.913737i | −0.998253 | − | 0.0590889i | \(-0.981180\pi\) |
0.231536 | + | 0.972826i | \(0.425625\pi\) | |||||||
\(954\) | −3.79854 | + | 37.7706i | −0.122982 | + | 1.22287i | ||||
\(955\) | −11.3153 | + | 9.49468i | −0.366155 | + | 0.307240i | ||||
\(956\) | 1.26300 | − | 10.6277i | 0.0408483 | − | 0.343723i | ||||
\(957\) | −2.20695 | + | 62.8706i | −0.0713407 | + | 2.03232i | ||||
\(958\) | 10.9262 | + | 8.65648i | 0.353010 | + | 0.279678i | ||||
\(959\) | 39.3058 | + | 4.59419i | 1.26925 | + | 0.148354i | ||||
\(960\) | 10.0516 | − | 5.26775i | 0.324415 | − | 0.170016i | ||||
\(961\) | −2.42342 | − | 1.59391i | −0.0781748 | − | 0.0514164i | ||||
\(962\) | −3.77012 | + | 9.46332i | −0.121554 | + | 0.305110i | ||||
\(963\) | −4.92480 | − | 4.23414i | −0.158700 | − | 0.136443i | ||||
\(964\) | −40.5509 | + | 12.0549i | −1.30606 | + | 0.388261i | ||||
\(965\) | 1.43920 | + | 0.341096i | 0.0463294 | + | 0.0109803i | ||||
\(966\) | 11.7761 | + | 6.90877i | 0.378891 | + | 0.222286i | ||||
\(967\) | −10.3746 | + | 0.604250i | −0.333624 | + | 0.0194314i | −0.224139 | − | 0.974557i | \(-0.571957\pi\) |
−0.109485 | + | 0.993988i | \(0.534920\pi\) | |||||||
\(968\) | 8.05509 | − | 6.33131i | 0.258900 | − | 0.203496i | ||||
\(969\) | 15.9166 | + | 1.48880i | 0.511315 | + | 0.0478272i | ||||
\(970\) | 6.54198 | + | 3.05827i | 0.210050 | + | 0.0981951i | ||||
\(971\) | 18.4828i | 0.593141i | 0.955011 | + | 0.296571i | \(0.0958430\pi\) | ||||
−0.955011 | + | 0.296571i | \(0.904157\pi\) | |||||||
\(972\) | −30.3568 | + | 7.10366i | −0.973696 | + | 0.227850i | ||||
\(973\) | − | 76.7783i | − | 2.46140i | ||||||
\(974\) | 3.99797 | − | 8.55210i | 0.128103 | − | 0.274027i | ||||
\(975\) | −51.4909 | − | 4.81634i | −1.64903 | − | 0.154246i | ||||
\(976\) | 24.3957 | − | 18.0160i | 0.780889 | − | 0.576677i | ||||
\(977\) | 40.5971 | − | 2.36451i | 1.29882 | − | 0.0756474i | 0.605247 | − | 0.796038i | \(-0.293074\pi\) |
0.693569 | + | 0.720390i | \(0.256037\pi\) | |||||||
\(978\) | −9.77782 | + | 16.6665i | −0.312660 | + | 0.532936i | ||||
\(979\) | 29.0396 | + | 6.88251i | 0.928109 | + | 0.219966i | ||||
\(980\) | 12.6696 | − | 3.76639i | 0.404716 | − | 0.120313i | ||||
\(981\) | 7.51026 | − | 2.63189i | 0.239784 | − | 0.0840298i | ||||
\(982\) | −53.1861 | − | 21.1890i | −1.69724 | − | 0.676167i | ||||
\(983\) | −5.73140 | − | 3.76960i | −0.182803 | − | 0.120232i | 0.454809 | − | 0.890589i | \(-0.349707\pi\) |
−0.637612 | + | 0.770357i | \(0.720078\pi\) | |||||||
\(984\) | −15.6629 | + | 10.1032i | −0.499317 | + | 0.322079i | ||||
\(985\) | −15.7506 | − | 1.84098i | −0.501854 | − | 0.0586584i | ||||
\(986\) | −18.3304 | + | 23.1366i | −0.583758 | + | 0.736819i | ||||
\(987\) | −0.147056 | + | 4.18926i | −0.00468085 | + | 0.133346i | ||||
\(988\) | −57.5295 | − | 6.83685i | −1.83026 | − | 0.217509i | ||||
\(989\) | 5.00410 | − | 4.19894i | 0.159121 | − | 0.133518i | ||||
\(990\) | 5.45871 | + | 12.1139i | 0.173489 | + | 0.385004i | ||||
\(991\) | −14.0664 | + | 16.7637i | −0.446834 | + | 0.532516i | −0.941700 | − | 0.336453i | \(-0.890773\pi\) |
0.494866 | + | 0.868969i | \(0.335217\pi\) | |||||||
\(992\) | −23.6113 | + | 18.4848i | −0.749658 | + | 0.586894i | ||||
\(993\) | −1.39717 | + | 4.13321i | −0.0443380 | + | 0.131164i | ||||
\(994\) | 68.0027 | − | 41.8541i | 2.15691 | − | 1.32753i | ||||
\(995\) | 4.00389 | + | 16.8937i | 0.126932 | + | 0.535567i | ||||
\(996\) | 6.10130 | − | 1.20945i | 0.193327 | − | 0.0383228i | ||||
\(997\) | −2.68224 | − | 22.9481i | −0.0849475 | − | 0.726772i | −0.966851 | − | 0.255342i | \(-0.917812\pi\) |
0.881903 | − | 0.471430i | \(-0.156262\pi\) | |||||||
\(998\) | −28.7768 | − | 17.7882i | −0.910915 | − | 0.563075i | ||||
\(999\) | 0.570213 | − | 5.39684i | 0.0180407 | − | 0.170748i |
(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 | 648.2.bb.b.371.91 | yes | 1872 | |
8.3 | odd | 2 | inner | 648.2.bb.b.371.94 | yes | 1872 | |
81.50 | odd | 54 | inner | 648.2.bb.b.131.94 | yes | 1872 | |
648.131 | even | 54 | inner | 648.2.bb.b.131.91 | ✓ | 1872 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
648.2.bb.b.131.91 | ✓ | 1872 | 648.131 | even | 54 | inner | |
648.2.bb.b.131.94 | yes | 1872 | 81.50 | odd | 54 | inner | |
648.2.bb.b.371.91 | yes | 1872 | 1.1 | even | 1 | trivial | |
648.2.bb.b.371.94 | yes | 1872 | 8.3 | odd | 2 | inner |