Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [735,2,Mod(128,735)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(735, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("735.128");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 735 = 3 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 735.y (of order \(12\), degree \(4\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.86900454856\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 263.5 | ||
Character | \(\chi\) | \(=\) | 735.263 |
Dual form | 735.2.y.i.422.5 |
$q$-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 \(\left(\mathbb{Z}/735\mathbb{Z}\right)^\times\).
\(n\) | \(346\) | \(442\) | \(491\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.243110 | + | 0.907300i | −0.171905 | + | 0.641558i | 0.825153 | + | 0.564909i | \(0.191089\pi\) |
−0.997058 | + | 0.0766491i | \(0.975578\pi\) | |||||||
\(3\) | 1.70312 | + | 0.315275i | 0.983294 | + | 0.182024i | ||||
\(4\) | 0.967960 | + | 0.558852i | 0.483980 | + | 0.279426i | ||||
\(5\) | 1.66520 | − | 1.49235i | 0.744700 | − | 0.667399i | ||||
\(6\) | −0.700094 | + | 1.46859i | −0.285812 | + | 0.599550i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −2.07075 | + | 2.07075i | −0.732120 | + | 0.732120i | ||||
\(9\) | 2.80120 | + | 1.07390i | 0.933734 | + | 0.357966i | ||||
\(10\) | 0.949181 | + | 1.87364i | 0.300157 | + | 0.592498i | ||||
\(11\) | −0.630122 | − | 0.363801i | −0.189989 | − | 0.109690i | 0.401988 | − | 0.915645i | \(-0.368319\pi\) |
−0.591977 | + | 0.805955i | \(0.701653\pi\) | |||||||
\(12\) | 1.47235 | + | 1.25696i | 0.425032 | + | 0.362854i | ||||
\(13\) | 1.44243 | + | 1.44243i | 0.400058 | + | 0.400058i | 0.878253 | − | 0.478196i | \(-0.158709\pi\) |
−0.478196 | + | 0.878253i | \(0.658709\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 3.30653 | − | 2.01665i | 0.853742 | − | 0.520696i | ||||
\(16\) | −0.257666 | − | 0.446291i | −0.0644165 | − | 0.111573i | ||||
\(17\) | −7.09105 | + | 1.90004i | −1.71983 | + | 0.460828i | −0.977801 | − | 0.209538i | \(-0.932804\pi\) |
−0.742031 | + | 0.670365i | \(0.766137\pi\) | |||||||
\(18\) | −1.65535 | + | 2.28046i | −0.390170 | + | 0.537509i | ||||
\(19\) | 0.664374 | − | 0.383576i | 0.152418 | − | 0.0879985i | −0.421851 | − | 0.906665i | \(-0.638620\pi\) |
0.574269 | + | 0.818667i | \(0.305286\pi\) | |||||||
\(20\) | 2.44585 | − | 0.513933i | 0.546908 | − | 0.114919i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.483266 | − | 0.483266i | 0.103033 | − | 0.103033i | ||||
\(23\) | 3.13584 | + | 0.840245i | 0.653867 | + | 0.175203i | 0.570477 | − | 0.821314i | \(-0.306758\pi\) |
0.0833906 | + | 0.996517i | \(0.473425\pi\) | |||||||
\(24\) | −4.17958 | + | 2.87387i | −0.853152 | + | 0.586626i | ||||
\(25\) | 0.545788 | − | 4.97012i | 0.109158 | − | 0.994024i | ||||
\(26\) | −1.65938 | + | 0.958046i | −0.325432 | + | 0.187888i | ||||
\(27\) | 4.43220 | + | 2.71212i | 0.852977 | + | 0.521948i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.07354 | 0.756437 | 0.378219 | − | 0.925716i | \(-0.376537\pi\) | ||||
0.378219 | + | 0.925716i | \(0.376537\pi\) | |||||||
\(30\) | 1.02585 | + | 3.49028i | 0.187294 | + | 0.637236i | ||||
\(31\) | 0.209930 | − | 0.363609i | 0.0377045 | − | 0.0653060i | −0.846557 | − | 0.532297i | \(-0.821329\pi\) |
0.884262 | + | 0.466991i | \(0.154662\pi\) | |||||||
\(32\) | −5.18983 | + | 1.39061i | −0.917440 | + | 0.245827i | ||||
\(33\) | −0.958473 | − | 0.818257i | −0.166849 | − | 0.142440i | ||||
\(34\) | − | 6.89563i | − | 1.18259i | ||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 2.11130 | + | 2.60495i | 0.351884 | + | 0.434158i | ||||
\(37\) | 6.08510 | + | 1.63050i | 1.00038 | + | 0.268052i | 0.721607 | − | 0.692303i | \(-0.243404\pi\) |
0.278778 | + | 0.960356i | \(0.410071\pi\) | |||||||
\(38\) | 0.186503 | + | 0.696038i | 0.0302548 | + | 0.112912i | ||||
\(39\) | 2.00186 | + | 2.91138i | 0.320554 | + | 0.466194i | ||||
\(40\) | −0.357932 | + | 6.53849i | −0.0565940 | + | 1.03383i | ||||
\(41\) | − | 4.44452i | − | 0.694117i | −0.937843 | − | 0.347058i | \(-0.887181\pi\) | ||
0.937843 | − | 0.347058i | \(-0.112819\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.15881 | − | 5.15881i | −0.786711 | − | 0.786711i | 0.194243 | − | 0.980953i | \(-0.437775\pi\) |
−0.980953 | + | 0.194243i | \(0.937775\pi\) | |||||||
\(44\) | −0.406622 | − | 0.704289i | −0.0613005 | − | 0.106176i | ||||
\(45\) | 6.26720 | − | 2.39212i | 0.934259 | − | 0.356596i | ||||
\(46\) | −1.52471 | + | 2.64087i | −0.224806 | + | 0.389376i | ||||
\(47\) | 1.82022 | − | 6.79316i | 0.265507 | − | 0.990885i | −0.696433 | − | 0.717622i | \(-0.745231\pi\) |
0.961939 | − | 0.273263i | \(-0.0881028\pi\) | |||||||
\(48\) | −0.298131 | − | 0.841320i | −0.0430315 | − | 0.121434i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 4.37671 | + | 1.70348i | 0.618960 | + | 0.240909i | ||||
\(51\) | −12.6759 | + | 1.00036i | −1.77498 | + | 0.140078i | ||||
\(52\) | 0.590109 | + | 2.20232i | 0.0818334 | + | 0.305406i | ||||
\(53\) | −1.41169 | − | 5.26849i | −0.193910 | − | 0.723683i | −0.992546 | − | 0.121869i | \(-0.961111\pi\) |
0.798636 | − | 0.601814i | \(-0.205555\pi\) | |||||||
\(54\) | −3.53822 | + | 3.36199i | −0.481491 | + | 0.457509i | ||||
\(55\) | −1.59220 | + | 0.334560i | −0.214692 | + | 0.0451121i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.25244 | − | 0.443814i | 0.165889 | − | 0.0587846i | ||||
\(58\) | −0.990320 | + | 3.69592i | −0.130035 | + | 0.485298i | ||||
\(59\) | −0.807790 | + | 1.39913i | −0.105165 | + | 0.182152i | −0.913806 | − | 0.406152i | \(-0.866870\pi\) |
0.808640 | + | 0.588303i | \(0.200204\pi\) | |||||||
\(60\) | 4.32759 | − | 0.104173i | 0.558690 | − | 0.0134486i | ||||
\(61\) | −4.78904 | − | 8.29486i | −0.613174 | − | 1.06205i | −0.990702 | − | 0.136050i | \(-0.956559\pi\) |
0.377528 | − | 0.925998i | \(-0.376774\pi\) | |||||||
\(62\) | 0.278866 | + | 0.278866i | 0.0354160 | + | 0.0354160i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | − | 6.07747i | − | 0.759683i | ||||||
\(65\) | 4.55454 | + | 0.249326i | 0.564921 | + | 0.0309251i | ||||
\(66\) | 0.975419 | − | 0.670696i | 0.120066 | − | 0.0825570i | ||||
\(67\) | 1.84979 | + | 6.90351i | 0.225988 | + | 0.843397i | 0.982006 | + | 0.188847i | \(0.0604752\pi\) |
−0.756019 | + | 0.654550i | \(0.772858\pi\) | |||||||
\(68\) | −7.92569 | − | 2.12368i | −0.961131 | − | 0.257534i | ||||
\(69\) | 5.07578 | + | 2.41969i | 0.611053 | + | 0.291296i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 7.06501i | − | 0.838462i | −0.907880 | − | 0.419231i | \(-0.862300\pi\) | ||
0.907880 | − | 0.419231i | \(-0.137700\pi\) | |||||||
\(72\) | −8.02436 | + | 3.57681i | −0.945680 | + | 0.421531i | ||||
\(73\) | −15.2439 | + | 4.08458i | −1.78416 | + | 0.478064i | −0.991332 | − | 0.131381i | \(-0.958059\pi\) |
−0.792828 | + | 0.609445i | \(0.791392\pi\) | |||||||
\(74\) | −2.95870 | + | 5.12462i | −0.343942 | + | 0.595726i | ||||
\(75\) | 2.49649 | − | 8.29262i | 0.288270 | − | 0.957549i | ||||
\(76\) | 0.857449 | 0.0983562 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −3.12817 | + | 1.10850i | −0.354196 | + | 0.125513i | ||||
\(79\) | −5.80845 | + | 3.35351i | −0.653502 | + | 0.377300i | −0.789797 | − | 0.613369i | \(-0.789814\pi\) |
0.136294 | + | 0.990668i | \(0.456481\pi\) | |||||||
\(80\) | −1.09509 | − | 0.358636i | −0.122434 | − | 0.0400967i | ||||
\(81\) | 6.69348 | + | 6.01642i | 0.743720 | + | 0.668491i | ||||
\(82\) | 4.03251 | + | 1.08051i | 0.445316 | + | 0.119322i | ||||
\(83\) | −1.83008 | + | 1.83008i | −0.200877 | + | 0.200877i | −0.800376 | − | 0.599499i | \(-0.795367\pi\) |
0.599499 | + | 0.800376i | \(0.295367\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −8.97250 | + | 13.7463i | −0.973204 | + | 1.49099i | ||||
\(86\) | 5.93475 | − | 3.42643i | 0.639960 | − | 0.369481i | ||||
\(87\) | 6.93771 | + | 1.28428i | 0.743800 | + | 0.137690i | ||||
\(88\) | 2.05816 | − | 0.551483i | 0.219401 | − | 0.0587883i | ||||
\(89\) | 6.94977 | + | 12.0373i | 0.736674 | + | 1.27596i | 0.953985 | + | 0.299854i | \(0.0969379\pi\) |
−0.217311 | + | 0.976102i | \(0.569729\pi\) | |||||||
\(90\) | 0.646746 | + | 6.26778i | 0.0681730 | + | 0.660682i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 2.56579 | + | 2.56579i | 0.267502 | + | 0.267502i | ||||
\(93\) | 0.472171 | − | 0.553082i | 0.0489618 | − | 0.0573519i | ||||
\(94\) | 5.72092 | + | 3.30298i | 0.590068 | + | 0.340676i | ||||
\(95\) | 0.533886 | − | 1.63021i | 0.0547755 | − | 0.167256i | ||||
\(96\) | −9.27730 | + | 0.732146i | −0.946860 | + | 0.0747244i | ||||
\(97\) | −5.62554 | + | 5.62554i | −0.571187 | + | 0.571187i | −0.932460 | − | 0.361273i | \(-0.882342\pi\) |
0.361273 | + | 0.932460i | \(0.382342\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −1.37441 | − | 1.69577i | −0.138134 | − | 0.170431i | ||||
\(100\) | 3.30586 | − | 4.50586i | 0.330586 | − | 0.450586i | ||||
\(101\) | −4.57480 | − | 2.64126i | −0.455209 | − | 0.262815i | 0.254818 | − | 0.966989i | \(-0.417984\pi\) |
−0.710028 | + | 0.704174i | \(0.751318\pi\) | |||||||
\(102\) | 2.17402 | − | 11.7441i | 0.215260 | − | 1.16283i | ||||
\(103\) | −1.87961 | + | 7.01482i | −0.185204 | + | 0.691190i | 0.809383 | + | 0.587281i | \(0.199802\pi\) |
−0.994587 | + | 0.103909i | \(0.966865\pi\) | |||||||
\(104\) | −5.97381 | −0.585780 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 5.12330 | 0.497619 | ||||||||
\(107\) | 4.74035 | − | 17.6912i | 0.458267 | − | 1.71028i | −0.220035 | − | 0.975492i | \(-0.570617\pi\) |
0.678302 | − | 0.734783i | \(-0.262716\pi\) | |||||||
\(108\) | 2.77451 | + | 5.10217i | 0.266978 | + | 0.490956i | ||||
\(109\) | −5.47383 | − | 3.16032i | −0.524298 | − | 0.302704i | 0.214393 | − | 0.976747i | \(-0.431223\pi\) |
−0.738691 | + | 0.674044i | \(0.764556\pi\) | |||||||
\(110\) | 0.0835333 | − | 1.52594i | 0.00796459 | − | 0.145492i | ||||
\(111\) | 9.84958 | + | 4.69541i | 0.934880 | + | 0.445668i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −7.98925 | + | 7.98925i | −0.751566 | + | 0.751566i | −0.974771 | − | 0.223206i | \(-0.928348\pi\) |
0.223206 | + | 0.974771i | \(0.428348\pi\) | |||||||
\(114\) | 0.0981924 | + | 1.24423i | 0.00919656 | + | 0.116533i | ||||
\(115\) | 6.47574 | − | 3.28059i | 0.603866 | − | 0.305916i | ||||
\(116\) | 3.94302 | + | 2.27650i | 0.366100 | + | 0.211368i | ||||
\(117\) | 2.49151 | + | 5.58956i | 0.230340 | + | 0.516755i | ||||
\(118\) | −1.07305 | − | 1.07305i | −0.0987824 | − | 0.0987824i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −2.67102 | + | 11.0230i | −0.243830 | + | 1.00625i | ||||
\(121\) | −5.23530 | − | 9.06780i | −0.475936 | − | 0.824346i | ||||
\(122\) | 8.69020 | − | 2.32853i | 0.786774 | − | 0.210815i | ||||
\(123\) | 1.40125 | − | 7.56953i | 0.126346 | − | 0.682521i | ||||
\(124\) | 0.406407 | − | 0.234639i | 0.0364964 | − | 0.0210712i | ||||
\(125\) | −6.50831 | − | 9.09076i | −0.582121 | − | 0.813102i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.07524 | + | 1.07524i | −0.0954126 | + | 0.0954126i | −0.753202 | − | 0.657789i | \(-0.771492\pi\) |
0.657789 | + | 0.753202i | \(0.271492\pi\) | |||||||
\(128\) | −4.86556 | − | 1.30372i | −0.430059 | − | 0.115234i | ||||
\(129\) | −7.15960 | − | 10.4125i | −0.630368 | − | 0.916768i | ||||
\(130\) | −1.33347 | + | 4.07172i | −0.116953 | + | 0.357114i | ||||
\(131\) | 9.65210 | − | 5.57264i | 0.843308 | − | 0.486884i | −0.0150794 | − | 0.999886i | \(-0.504800\pi\) |
0.858387 | + | 0.513002i | \(0.171467\pi\) | |||||||
\(132\) | −0.470479 | − | 1.32768i | −0.0409499 | − | 0.115560i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −6.71326 | −0.579937 | ||||||||
\(135\) | 11.4279 | − | 2.09816i | 0.983560 | − | 0.180581i | ||||
\(136\) | 10.7493 | − | 18.6183i | 0.921742 | − | 1.59650i | ||||
\(137\) | −11.1402 | + | 2.98501i | −0.951771 | + | 0.255026i | −0.701114 | − | 0.713050i | \(-0.747313\pi\) |
−0.250657 | + | 0.968076i | \(0.580647\pi\) | |||||||
\(138\) | −3.42936 | + | 4.01701i | −0.291926 | + | 0.341951i | ||||
\(139\) | 1.33168i | 0.112952i | 0.998404 | + | 0.0564760i | \(0.0179864\pi\) | ||||
−0.998404 | + | 0.0564760i | \(0.982014\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 5.24176 | − | 10.9957i | 0.441436 | − | 0.926003i | ||||
\(142\) | 6.41009 | + | 1.71758i | 0.537922 | + | 0.144136i | ||||
\(143\) | −0.384149 | − | 1.43366i | −0.0321241 | − | 0.119889i | ||||
\(144\) | −0.242504 | − | 1.52686i | −0.0202086 | − | 0.127238i | ||||
\(145\) | 6.78326 | − | 6.07914i | 0.563319 | − | 0.504845i | ||||
\(146\) | − | 14.8238i | − | 1.22682i | ||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.97893 | + | 4.97893i | 0.409265 | + | 0.409265i | ||||
\(149\) | 0.650455 | + | 1.12662i | 0.0532873 | + | 0.0922963i | 0.891439 | − | 0.453141i | \(-0.149697\pi\) |
−0.838151 | + | 0.545438i | \(0.816363\pi\) | |||||||
\(150\) | 6.91697 | + | 4.28109i | 0.564768 | + | 0.349550i | ||||
\(151\) | 1.58575 | − | 2.74659i | 0.129046 | − | 0.223515i | −0.794261 | − | 0.607577i | \(-0.792142\pi\) |
0.923307 | + | 0.384062i | \(0.125475\pi\) | |||||||
\(152\) | −0.581460 | + | 2.17004i | −0.0471627 | + | 0.176013i | ||||
\(153\) | −21.9039 | − | 2.29267i | −1.77083 | − | 0.185352i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.193056 | − | 0.918770i | −0.0155066 | − | 0.0737974i | ||||
\(156\) | 0.310688 | + | 3.93684i | 0.0248750 | + | 0.315200i | ||||
\(157\) | 1.11744 | + | 4.17033i | 0.0891812 | + | 0.332829i | 0.996073 | − | 0.0885346i | \(-0.0282184\pi\) |
−0.906892 | + | 0.421363i | \(0.861552\pi\) | |||||||
\(158\) | −1.63055 | − | 6.08529i | −0.129719 | − | 0.484119i | ||||
\(159\) | −0.743244 | − | 9.41792i | −0.0589431 | − | 0.746890i | ||||
\(160\) | −6.56683 | + | 10.0607i | −0.519153 | + | 0.795366i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −7.08596 | + | 4.61034i | −0.556725 | + | 0.362223i | ||||
\(163\) | −2.47403 | + | 9.23320i | −0.193781 | + | 0.723200i | 0.798798 | + | 0.601599i | \(0.205470\pi\) |
−0.992579 | + | 0.121601i | \(0.961197\pi\) | |||||||
\(164\) | 2.48383 | − | 4.30211i | 0.193954 | − | 0.335939i | ||||
\(165\) | −2.81717 | + | 0.0678143i | −0.219317 | + | 0.00527934i | ||||
\(166\) | −1.21552 | − | 2.10534i | −0.0943426 | − | 0.163406i | ||||
\(167\) | −5.52186 | − | 5.52186i | −0.427294 | − | 0.427294i | 0.460411 | − | 0.887706i | \(-0.347702\pi\) |
−0.887706 | + | 0.460411i | \(0.847702\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 8.83880i | − | 0.679908i | ||||||
\(170\) | −10.2907 | − | 11.4826i | −0.789260 | − | 0.880676i | ||||
\(171\) | 2.27297 | − | 0.361005i | 0.173818 | − | 0.0276067i | ||||
\(172\) | −2.11051 | − | 7.87652i | −0.160925 | − | 0.600579i | ||||
\(173\) | 12.9233 | + | 3.46278i | 0.982539 | + | 0.263271i | 0.714114 | − | 0.700030i | \(-0.246830\pi\) |
0.268426 | + | 0.963300i | \(0.413497\pi\) | |||||||
\(174\) | −2.85186 | + | 5.98236i | −0.216199 | + | 0.453522i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.374957i | 0.0282634i | ||||||||
\(177\) | −1.81687 | + | 2.12821i | −0.136564 | + | 0.159966i | ||||
\(178\) | −12.6110 | + | 3.37912i | −0.945238 | + | 0.253276i | ||||
\(179\) | 6.35437 | − | 11.0061i | 0.474948 | − | 0.822633i | −0.524641 | − | 0.851324i | \(-0.675800\pi\) |
0.999588 | + | 0.0286903i | \(0.00913367\pi\) | |||||||
\(180\) | 7.40323 | + | 1.18696i | 0.551804 | + | 0.0884711i | ||||
\(181\) | 9.56008 | 0.710595 | 0.355298 | − | 0.934753i | \(-0.384380\pi\) | ||||
0.355298 | + | 0.934753i | \(0.384380\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −5.54113 | − | 15.6370i | −0.409612 | − | 1.15592i | ||||
\(184\) | −8.23346 | + | 4.75359i | −0.606979 | + | 0.350439i | ||||
\(185\) | 12.5662 | − | 6.36599i | 0.923885 | − | 0.468037i | ||||
\(186\) | 0.387022 | + | 0.562861i | 0.0283778 | + | 0.0412710i | ||||
\(187\) | 5.15946 | + | 1.38247i | 0.377297 | + | 0.101096i | ||||
\(188\) | 5.55827 | − | 5.55827i | 0.405379 | − | 0.405379i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.34930 | + | 0.880716i | 0.0978882 | + | 0.0638938i | ||||
\(191\) | 4.05391 | − | 2.34053i | 0.293331 | − | 0.169355i | −0.346112 | − | 0.938193i | \(-0.612498\pi\) |
0.639443 | + | 0.768839i | \(0.279165\pi\) | |||||||
\(192\) | 1.91607 | − | 10.3506i | 0.138281 | − | 0.746992i | ||||
\(193\) | −6.94190 | + | 1.86008i | −0.499689 | + | 0.133891i | −0.499856 | − | 0.866109i | \(-0.666614\pi\) |
0.000166726 | 1.00000i | \(0.499947\pi\) | ||||||||
\(194\) | −3.73643 | − | 6.47168i | −0.268260 | − | 0.464640i | ||||
\(195\) | 7.67830 | + | 1.86056i | 0.549854 | + | 0.133238i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −3.81705 | − | 3.81705i | −0.271954 | − | 0.271954i | 0.557933 | − | 0.829886i | \(-0.311595\pi\) |
−0.829886 | + | 0.557933i | \(0.811595\pi\) | |||||||
\(198\) | 1.87271 | − | 0.834747i | 0.133087 | − | 0.0593229i | ||||
\(199\) | −10.1820 | − | 5.87860i | −0.721785 | − | 0.416723i | 0.0936244 | − | 0.995608i | \(-0.470155\pi\) |
−0.815409 | + | 0.578885i | \(0.803488\pi\) | |||||||
\(200\) | 9.16168 | + | 11.4221i | 0.647829 | + | 0.807661i | ||||
\(201\) | 0.973901 | + | 12.3407i | 0.0686937 | + | 0.870443i | ||||
\(202\) | 3.50860 | − | 3.50860i | 0.246864 | − | 0.246864i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −12.8288 | − | 6.11565i | −0.898197 | − | 0.428181i | ||||
\(205\) | −6.63277 | − | 7.40101i | −0.463253 | − | 0.516909i | ||||
\(206\) | −5.90759 | − | 3.41075i | −0.411601 | − | 0.237638i | ||||
\(207\) | 7.88178 | + | 5.72127i | 0.547822 | + | 0.397656i | ||||
\(208\) | 0.272077 | − | 1.01541i | 0.0188652 | − | 0.0704058i | ||||
\(209\) | −0.558182 | −0.0386103 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 25.4378 | 1.75121 | 0.875606 | − | 0.483025i | \(-0.160462\pi\) | ||||
0.875606 | + | 0.483025i | \(0.160462\pi\) | |||||||
\(212\) | 1.57785 | − | 5.88861i | 0.108367 | − | 0.404432i | ||||
\(213\) | 2.22742 | − | 12.0325i | 0.152620 | − | 0.824455i | ||||
\(214\) | 14.8988 | + | 8.60184i | 1.01846 | + | 0.588010i | ||||
\(215\) | −16.2892 | − | 0.891708i | −1.11091 | − | 0.0608140i | ||||
\(216\) | −14.7941 | + | 3.56184i | −1.00661 | + | 0.242353i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 4.19810 | − | 4.19810i | 0.284331 | − | 0.284331i | ||||
\(219\) | −27.2498 | + | 2.15050i | −1.84137 | + | 0.145318i | ||||
\(220\) | −1.72815 | − | 0.565962i | −0.116512 | − | 0.0381571i | ||||
\(221\) | −12.9690 | − | 7.48766i | −0.872389 | − | 0.503674i | ||||
\(222\) | −6.65468 | + | 7.79502i | −0.446633 | + | 0.523168i | ||||
\(223\) | 7.63840 | + | 7.63840i | 0.511505 | + | 0.511505i | 0.914987 | − | 0.403482i | \(-0.132200\pi\) |
−0.403482 | + | 0.914987i | \(0.632200\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 6.86627 | − | 13.3362i | 0.457752 | − | 0.889080i | ||||
\(226\) | −5.30638 | − | 9.19092i | −0.352975 | − | 0.611371i | ||||
\(227\) | −0.782158 | + | 0.209579i | −0.0519137 | + | 0.0139102i | −0.284682 | − | 0.958622i | \(-0.591888\pi\) |
0.232769 | + | 0.972532i | \(0.425221\pi\) | |||||||
\(228\) | 1.46034 | + | 0.270332i | 0.0967130 | + | 0.0179032i | ||||
\(229\) | −14.0174 | + | 8.09297i | −0.926299 | + | 0.534799i | −0.885639 | − | 0.464374i | \(-0.846279\pi\) |
−0.0406596 | + | 0.999173i | \(0.512946\pi\) | |||||||
\(230\) | 1.40216 | + | 6.67298i | 0.0924556 | + | 0.440004i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −8.43527 | + | 8.43527i | −0.553803 | + | 0.553803i | ||||
\(233\) | 12.7754 | + | 3.42317i | 0.836946 | + | 0.224259i | 0.651742 | − | 0.758441i | \(-0.274039\pi\) |
0.185204 | + | 0.982700i | \(0.440705\pi\) | |||||||
\(234\) | −5.67712 | + | 0.901670i | −0.371125 | + | 0.0589440i | ||||
\(235\) | −7.10674 | − | 14.0284i | −0.463592 | − | 0.915111i | ||||
\(236\) | −1.56382 | + | 0.902869i | −0.101796 | + | 0.0587718i | ||||
\(237\) | −10.9497 | + | 3.88016i | −0.711263 | + | 0.252043i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 0.0827799 | 0.00535459 | 0.00267729 | − | 0.999996i | \(-0.499148\pi\) | ||||
0.00267729 | + | 0.999996i | \(0.499148\pi\) | |||||||
\(240\) | −1.75199 | − | 0.956052i | −0.113091 | − | 0.0617129i | ||||
\(241\) | 7.25921 | − | 12.5733i | 0.467607 | − | 0.809919i | −0.531708 | − | 0.846928i | \(-0.678450\pi\) |
0.999315 | + | 0.0370088i | \(0.0117830\pi\) | |||||||
\(242\) | 9.49997 | − | 2.54551i | 0.610681 | − | 0.163632i | ||||
\(243\) | 9.50294 | + | 12.3569i | 0.609614 | + | 0.792698i | ||||
\(244\) | − | 10.7055i | − | 0.685347i | ||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 6.52718 | + | 3.11158i | 0.416158 | + | 0.198387i | ||||
\(247\) | 1.51159 | + | 0.405030i | 0.0961803 | + | 0.0257714i | ||||
\(248\) | 0.318231 | + | 1.18765i | 0.0202077 | + | 0.0754160i | ||||
\(249\) | −3.69381 | + | 2.53986i | −0.234086 | + | 0.160957i | ||||
\(250\) | 9.83029 | − | 3.69494i | 0.621722 | − | 0.233688i | ||||
\(251\) | 16.4075i | 1.03563i | 0.855493 | + | 0.517815i | \(0.173254\pi\) | ||||
−0.855493 | + | 0.517815i | \(0.826746\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.67028 | − | 1.67028i | −0.105009 | − | 0.105009i | ||||
\(254\) | −0.714167 | − | 1.23697i | −0.0448108 | − | 0.0776146i | ||||
\(255\) | −19.6151 | + | 20.5827i | −1.22834 | + | 1.28894i | ||||
\(256\) | 8.44320 | − | 14.6241i | 0.527700 | − | 0.914004i | ||||
\(257\) | 0.356728 | − | 1.33133i | 0.0222521 | − | 0.0830459i | −0.953907 | − | 0.300103i | \(-0.902979\pi\) |
0.976159 | + | 0.217057i | \(0.0696457\pi\) | |||||||
\(258\) | 11.1878 | − | 3.96452i | 0.696523 | − | 0.246820i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 4.26927 | + | 2.78665i | 0.264769 | + | 0.172821i | ||||
\(261\) | 11.4108 | + | 4.37457i | 0.706311 | + | 0.270779i | ||||
\(262\) | 2.70953 | + | 10.1121i | 0.167396 | + | 0.624729i | ||||
\(263\) | 5.12625 | + | 19.1314i | 0.316098 | + | 1.17969i | 0.922963 | + | 0.384888i | \(0.125760\pi\) |
−0.606865 | + | 0.794805i | \(0.707573\pi\) | |||||||
\(264\) | 3.67916 | − | 0.290352i | 0.226437 | − | 0.0178699i | ||||
\(265\) | −10.2132 | − | 6.66637i | −0.627390 | − | 0.409512i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 8.04118 | + | 22.6921i | 0.492112 | + | 1.38873i | ||||
\(268\) | −2.06752 | + | 7.71607i | −0.126294 | + | 0.471334i | ||||
\(269\) | −0.835235 | + | 1.44667i | −0.0509252 | + | 0.0882050i | −0.890364 | − | 0.455249i | \(-0.849550\pi\) |
0.839439 | + | 0.543454i | \(0.182884\pi\) | |||||||
\(270\) | −0.874591 | + | 10.8787i | −0.0532259 | + | 0.662054i | ||||
\(271\) | 0.646739 | + | 1.12018i | 0.0392866 | + | 0.0680464i | 0.885000 | − | 0.465591i | \(-0.154158\pi\) |
−0.845714 | + | 0.533637i | \(0.820825\pi\) | |||||||
\(272\) | 2.67509 | + | 2.67509i | 0.162201 | + | 0.162201i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | − | 10.8332i | − | 0.654457i | ||||||
\(275\) | −2.15205 | + | 2.93322i | −0.129773 | + | 0.176880i | ||||
\(276\) | 3.56091 | + | 5.17877i | 0.214342 | + | 0.311725i | ||||
\(277\) | 3.03017 | + | 11.3088i | 0.182065 | + | 0.679477i | 0.995240 | + | 0.0974572i | \(0.0310709\pi\) |
−0.813174 | + | 0.582020i | \(0.802262\pi\) | |||||||
\(278\) | −1.20824 | − | 0.323746i | −0.0724653 | − | 0.0194170i | ||||
\(279\) | 0.978534 | − | 0.793099i | 0.0585833 | − | 0.0474816i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 14.3020i | − | 0.853186i | −0.904444 | − | 0.426593i | \(-0.859714\pi\) | ||
0.904444 | − | 0.426593i | \(-0.140286\pi\) | |||||||
\(282\) | 8.70205 | + | 7.42902i | 0.518199 | + | 0.442391i | ||||
\(283\) | 10.0906 | − | 2.70377i | 0.599823 | − | 0.160722i | 0.0538844 | − | 0.998547i | \(-0.482840\pi\) |
0.545939 | + | 0.837825i | \(0.316173\pi\) | |||||||
\(284\) | 3.94829 | − | 6.83864i | 0.234288 | − | 0.405799i | ||||
\(285\) | 1.42323 | − | 2.60811i | 0.0843051 | − | 0.154491i | ||||
\(286\) | 1.39415 | 0.0824380 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −16.0311 | − | 1.67797i | −0.944644 | − | 0.0988753i | ||||
\(289\) | 31.9504 | − | 18.4466i | 1.87943 | − | 1.08509i | ||||
\(290\) | 3.86653 | + | 7.63236i | 0.227050 | + | 0.448187i | ||||
\(291\) | −11.3545 | + | 7.80735i | −0.665615 | + | 0.457675i | ||||
\(292\) | −17.0381 | − | 4.56535i | −0.997081 | − | 0.267167i | ||||
\(293\) | −9.37059 | + | 9.37059i | −0.547436 | + | 0.547436i | −0.925698 | − | 0.378262i | \(-0.876522\pi\) |
0.378262 | + | 0.925698i | \(0.376522\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.742863 | + | 3.53534i | 0.0432511 | + | 0.205836i | ||||
\(296\) | −15.9771 | + | 9.22436i | −0.928648 | + | 0.536155i | ||||
\(297\) | −1.80615 | − | 3.32141i | −0.104804 | − | 0.192728i | ||||
\(298\) | −1.18032 | + | 0.316265i | −0.0683738 | + | 0.0183207i | ||||
\(299\) | 3.31123 | + | 5.73521i | 0.191493 | + | 0.331676i | ||||
\(300\) | 7.05085 | − | 6.63175i | 0.407081 | − | 0.382884i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 2.10647 | + | 2.10647i | 0.121214 | + | 0.121214i | ||||
\(303\) | −6.95868 | − | 5.94069i | −0.399766 | − | 0.341284i | ||||
\(304\) | −0.342373 | − | 0.197669i | −0.0196364 | − | 0.0113371i | ||||
\(305\) | −20.3536 | − | 6.66569i | −1.16544 | − | 0.381676i | ||||
\(306\) | 7.40521 | − | 19.3161i | 0.423328 | − | 1.10423i | ||||
\(307\) | 16.7040 | − | 16.7040i | 0.953350 | − | 0.953350i | −0.0456091 | − | 0.998959i | \(-0.514523\pi\) |
0.998959 | + | 0.0456091i | \(0.0145229\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −5.41280 | + | 11.3544i | −0.307923 | + | 0.645932i | ||||
\(310\) | 0.880534 | + | 0.0482025i | 0.0500110 | + | 0.00273772i | ||||
\(311\) | −13.5200 | − | 7.80578i | −0.766649 | − | 0.442625i | 0.0650288 | − | 0.997883i | \(-0.479286\pi\) |
−0.831678 | + | 0.555258i | \(0.812619\pi\) | |||||||
\(312\) | −10.1741 | − | 1.88339i | −0.575994 | − | 0.106626i | ||||
\(313\) | 4.23797 | − | 15.8163i | 0.239544 | − | 0.893991i | −0.736504 | − | 0.676434i | \(-0.763525\pi\) |
0.976048 | − | 0.217557i | \(-0.0698088\pi\) | |||||||
\(314\) | −4.05540 | −0.228860 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −7.49647 | −0.421709 | ||||||||
\(317\) | −6.22945 | + | 23.2486i | −0.349881 | + | 1.30577i | 0.536924 | + | 0.843630i | \(0.319586\pi\) |
−0.886805 | + | 0.462143i | \(0.847081\pi\) | |||||||
\(318\) | 8.72557 | + | 1.61525i | 0.489306 | + | 0.0905787i | ||||
\(319\) | −2.56683 | − | 1.48196i | −0.143715 | − | 0.0829737i | ||||
\(320\) | −9.06970 | − | 10.1202i | −0.507012 | − | 0.565736i | ||||
\(321\) | 13.6510 | − | 28.6357i | 0.761922 | − | 1.59829i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −3.98230 | + | 3.98230i | −0.221581 | + | 0.221581i | ||||
\(324\) | 3.11673 | + | 9.56432i | 0.173152 | + | 0.531351i | ||||
\(325\) | 7.95630 | − | 6.38178i | 0.441336 | − | 0.353998i | ||||
\(326\) | −7.77582 | − | 4.48937i | −0.430663 | − | 0.248643i | ||||
\(327\) | −8.32620 | − | 7.10815i | −0.460440 | − | 0.393081i | ||||
\(328\) | 9.20347 | + | 9.20347i | 0.508177 | + | 0.508177i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0.623356 | − | 2.57251i | 0.0343146 | − | 0.141612i | ||||
\(331\) | −4.82052 | − | 8.34938i | −0.264960 | − | 0.458923i | 0.702594 | − | 0.711591i | \(-0.252025\pi\) |
−0.967553 | + | 0.252668i | \(0.918692\pi\) | |||||||
\(332\) | −2.79418 | + | 0.748700i | −0.153351 | + | 0.0410902i | ||||
\(333\) | 15.2946 | + | 11.1021i | 0.838140 | + | 0.608394i | ||||
\(334\) | 6.35241 | − | 3.66756i | 0.347588 | − | 0.200680i | ||||
\(335\) | 13.3827 | + | 8.73519i | 0.731176 | + | 0.477255i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.92766 | + | 1.92766i | −0.105006 | + | 0.105006i | −0.757658 | − | 0.652652i | \(-0.773656\pi\) |
0.652652 | + | 0.757658i | \(0.273656\pi\) | |||||||
\(338\) | 8.01945 | + | 2.14880i | 0.436200 | + | 0.116880i | ||||
\(339\) | −16.1254 | + | 11.0878i | −0.875813 | + | 0.602207i | ||||
\(340\) | −16.3671 | + | 8.29154i | −0.887633 | + | 0.449672i | ||||
\(341\) | −0.264562 | + | 0.152745i | −0.0143269 | + | 0.00827162i | ||||
\(342\) | −0.225042 | + | 2.15003i | −0.0121689 | + | 0.116260i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 21.3652 | 1.15193 | ||||||||
\(345\) | 12.0632 | − | 3.54558i | 0.649462 | − | 0.190888i | ||||
\(346\) | −6.28357 | + | 10.8835i | −0.337807 | + | 0.585099i | ||||
\(347\) | 26.4715 | − | 7.09301i | 1.42106 | − | 0.380773i | 0.535202 | − | 0.844724i | \(-0.320235\pi\) |
0.885861 | + | 0.463951i | \(0.153569\pi\) | |||||||
\(348\) | 5.99769 | + | 5.12029i | 0.321510 | + | 0.274476i | ||||
\(349\) | 4.09834i | 0.219379i | 0.993966 | + | 0.109690i | \(0.0349857\pi\) | ||||
−0.993966 | + | 0.109690i | \(0.965014\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.48108 | + | 10.3052i | 0.132430 | + | 0.550049i | ||||
\(352\) | 3.77613 | + | 1.01181i | 0.201268 | + | 0.0539297i | ||||
\(353\) | 7.63696 | + | 28.5015i | 0.406474 | + | 1.51698i | 0.801320 | + | 0.598236i | \(0.204131\pi\) |
−0.394846 | + | 0.918747i | \(0.629202\pi\) | |||||||
\(354\) | −1.48922 | − | 2.16584i | −0.0791514 | − | 0.115113i | ||||
\(355\) | −10.5435 | − | 11.7647i | −0.559589 | − | 0.624403i | ||||
\(356\) | 15.5356i | 0.823383i | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 8.44101 | + | 8.44101i | 0.446121 | + | 0.446121i | ||||
\(359\) | 14.3554 | + | 24.8643i | 0.757650 | + | 1.31229i | 0.944046 | + | 0.329814i | \(0.106986\pi\) |
−0.186396 | + | 0.982475i | \(0.559681\pi\) | |||||||
\(360\) | −8.02432 | + | 17.9313i | −0.422919 | + | 0.945060i | ||||
\(361\) | −9.20574 | + | 15.9448i | −0.484513 | + | 0.839200i | ||||
\(362\) | −2.32415 | + | 8.67386i | −0.122155 | + | 0.455888i | ||||
\(363\) | −6.05746 | − | 17.0941i | −0.317934 | − | 0.897206i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −19.2885 | + | 29.5508i | −1.00961 | + | 1.54676i | ||||
\(366\) | 15.5345 | − | 1.22596i | 0.812003 | − | 0.0640817i | ||||
\(367\) | 7.95050 | + | 29.6717i | 0.415013 | + | 1.54885i | 0.784810 | + | 0.619737i | \(0.212761\pi\) |
−0.369797 | + | 0.929113i | \(0.620573\pi\) | |||||||
\(368\) | −0.433005 | − | 1.61600i | −0.0225720 | − | 0.0842397i | ||||
\(369\) | 4.77296 | − | 12.4500i | 0.248471 | − | 0.648121i | ||||
\(370\) | 2.72089 | + | 12.9489i | 0.141453 | + | 0.673184i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0.766133 | − | 0.271487i | 0.0397222 | − | 0.0140760i | ||||
\(373\) | −6.29374 | + | 23.4885i | −0.325877 | + | 1.21619i | 0.587550 | + | 0.809188i | \(0.300093\pi\) |
−0.913427 | + | 0.407003i | \(0.866574\pi\) | |||||||
\(374\) | −2.50864 | + | 4.34509i | −0.129719 | + | 0.224679i | ||||
\(375\) | −8.21832 | − | 17.5345i | −0.424392 | − | 0.905479i | ||||
\(376\) | 10.2977 | + | 17.8361i | 0.531064 | + | 0.919829i | ||||
\(377\) | 5.87579 | + | 5.87579i | 0.302618 | + | 0.302618i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 8.45766i | 0.434441i | 0.976123 | + | 0.217220i | \(0.0696990\pi\) | ||||
−0.976123 | + | 0.217220i | \(0.930301\pi\) | |||||||
\(380\) | 1.42783 | − | 1.27961i | 0.0732459 | − | 0.0656428i | ||||
\(381\) | −2.17026 | + | 1.49227i | −0.111186 | + | 0.0764512i | ||||
\(382\) | 1.13801 | + | 4.24712i | 0.0582258 | + | 0.217302i | ||||
\(383\) | −9.85308 | − | 2.64013i | −0.503469 | − | 0.134904i | −0.00185953 | − | 0.999998i | \(-0.500592\pi\) |
−0.501610 | + | 0.865094i | \(0.667259\pi\) | |||||||
\(384\) | −7.87559 | − | 3.75438i | −0.401899 | − | 0.191590i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 6.75059i | − | 0.343596i | ||||||
\(387\) | −8.91083 | − | 19.9909i | −0.452963 | − | 1.01619i | ||||
\(388\) | −8.58914 | + | 2.30145i | −0.436048 | + | 0.116839i | ||||
\(389\) | −8.33093 | + | 14.4296i | −0.422395 | + | 0.731609i | −0.996173 | − | 0.0874014i | \(-0.972144\pi\) |
0.573778 | + | 0.819011i | \(0.305477\pi\) | |||||||
\(390\) | −3.55476 | + | 6.51420i | −0.180002 | + | 0.329859i | ||||
\(391\) | −23.8329 | −1.20528 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 18.1956 | − | 6.44779i | 0.917844 | − | 0.325248i | ||||
\(394\) | 4.39118 | − | 2.53525i | 0.221224 | − | 0.127724i | ||||
\(395\) | −4.66763 | + | 14.2525i | −0.234854 | + | 0.717122i | ||||
\(396\) | −0.382694 | − | 2.40953i | −0.0192311 | − | 0.121083i | ||||
\(397\) | 9.23281 | + | 2.47392i | 0.463381 | + | 0.124163i | 0.482954 | − | 0.875646i | \(-0.339564\pi\) |
−0.0195726 | + | 0.999808i | \(0.506231\pi\) | |||||||
\(398\) | 7.80901 | − | 7.80901i | 0.391430 | − | 0.391430i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.35875 | + | 1.03705i | −0.117937 | + | 0.0518526i | ||||
\(401\) | −17.1970 | + | 9.92869i | −0.858777 | + | 0.495815i | −0.863603 | − | 0.504173i | \(-0.831797\pi\) |
0.00482553 | + | 0.999988i | \(0.498464\pi\) | |||||||
\(402\) | −11.4334 | − | 2.11652i | −0.570249 | − | 0.105562i | ||||
\(403\) | 0.827288 | − | 0.221671i | 0.0412101 | − | 0.0110422i | ||||
\(404\) | −2.95215 | − | 5.11327i | −0.146875 | − | 0.254394i | ||||
\(405\) | 20.1246 | + | 0.0295385i | 0.999999 | + | 0.00146778i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −3.24118 | − | 3.24118i | −0.160659 | − | 0.160659i | ||||
\(408\) | 24.1771 | − | 28.3201i | 1.19695 | − | 1.40205i | ||||
\(409\) | 22.7311 | + | 13.1238i | 1.12398 | + | 0.648930i | 0.942414 | − | 0.334448i | \(-0.108550\pi\) |
0.181566 | + | 0.983379i | \(0.441883\pi\) | |||||||
\(410\) | 8.32744 | − | 4.21865i | 0.411263 | − | 0.208344i | ||||
\(411\) | −19.9141 | + | 1.57158i | −0.982292 | + | 0.0775206i | ||||
\(412\) | −5.73963 | + | 5.73963i | −0.282771 | + | 0.282771i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −7.10705 | + | 5.76024i | −0.349293 | + | 0.283100i | ||||
\(415\) | −0.316332 | + | 5.77857i | −0.0155281 | + | 0.283659i | ||||
\(416\) | −9.49181 | − | 5.48010i | −0.465374 | − | 0.268684i | ||||
\(417\) | −0.419847 | + | 2.26801i | −0.0205600 | + | 0.111065i | ||||
\(418\) | 0.135700 | − | 0.506439i | 0.00663730 | − | 0.0247707i | ||||
\(419\) | 23.9293 | 1.16902 | 0.584511 | − | 0.811386i | \(-0.301286\pi\) | ||||
0.584511 | + | 0.811386i | \(0.301286\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −9.89428 | −0.482218 | −0.241109 | − | 0.970498i | \(-0.577511\pi\) | ||||
−0.241109 | + | 0.970498i | \(0.577511\pi\) | |||||||
\(422\) | −6.18420 | + | 23.0798i | −0.301042 | + | 1.12350i | ||||
\(423\) | 12.3940 | − | 17.0743i | 0.602616 | − | 0.830181i | ||||
\(424\) | 13.8330 | + | 7.98647i | 0.671788 | + | 0.387857i | ||||
\(425\) | 5.57323 | + | 36.2804i | 0.270341 | + | 1.75986i | ||||
\(426\) | 10.3756 | + | 4.94617i | 0.502700 | + | 0.239643i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 14.4752 | − | 14.4752i | 0.699687 | − | 0.699687i | ||||
\(429\) | −0.202252 | − | 2.56280i | −0.00976480 | − | 0.123733i | ||||
\(430\) | 4.76912 | − | 14.5624i | 0.229987 | − | 0.702261i | ||||
\(431\) | 27.8066 | + | 16.0542i | 1.33940 | + | 0.773302i | 0.986718 | − | 0.162443i | \(-0.0519372\pi\) |
0.352680 | + | 0.935744i | \(0.385271\pi\) | |||||||
\(432\) | 0.0683684 | − | 2.67687i | 0.00328938 | − | 0.128791i | ||||
\(433\) | −13.5310 | − | 13.5310i | −0.650257 | − | 0.650257i | 0.302798 | − | 0.953055i | \(-0.402079\pi\) |
−0.953055 | + | 0.302798i | \(0.902079\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 13.4693 | − | 8.21489i | 0.645802 | − | 0.393874i | ||||
\(436\) | −3.53230 | − | 6.11812i | −0.169166 | − | 0.293005i | ||||
\(437\) | 2.40567 | − | 0.644596i | 0.115079 | − | 0.0308352i | ||||
\(438\) | 4.67357 | − | 25.2466i | 0.223312 | − | 1.20633i | ||||
\(439\) | −29.4491 | + | 17.0025i | −1.40553 | + | 0.811483i | −0.994953 | − | 0.100343i | \(-0.968006\pi\) |
−0.410577 | + | 0.911826i | \(0.634673\pi\) | |||||||
\(440\) | 2.60425 | − | 3.98983i | 0.124153 | − | 0.190208i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 9.94645 | − | 9.94645i | 0.473104 | − | 0.473104i | ||||
\(443\) | −25.7237 | − | 6.89265i | −1.22217 | − | 0.327480i | −0.410644 | − | 0.911796i | \(-0.634696\pi\) |
−0.811526 | + | 0.584316i | \(0.801363\pi\) | |||||||
\(444\) | 6.90996 | + | 10.0494i | 0.327932 | + | 0.476924i | ||||
\(445\) | 29.5367 | + | 9.67312i | 1.40017 | + | 0.458550i | ||||
\(446\) | −8.78730 | + | 5.07335i | −0.416091 | + | 0.240230i | ||||
\(447\) | 0.752604 | + | 2.12384i | 0.0355969 | + | 0.100454i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −13.5069 | −0.637430 | −0.318715 | − | 0.947851i | \(-0.603251\pi\) | ||||
−0.318715 | + | 0.947851i | \(0.603251\pi\) | |||||||
\(450\) | 10.4307 | + | 9.47194i | 0.491707 | + | 0.446512i | ||||
\(451\) | −1.61692 | + | 2.80059i | −0.0761378 | + | 0.131875i | ||||
\(452\) | −12.1981 | + | 3.26847i | −0.573750 | + | 0.153736i | ||||
\(453\) | 3.56664 | − | 4.17782i | 0.167575 | − | 0.196291i | ||||
\(454\) | − | 0.760603i | − | 0.0356969i | ||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −1.67445 | + | 3.51251i | −0.0784135 | + | 0.164488i | ||||
\(457\) | −12.6832 | − | 3.39846i | −0.593297 | − | 0.158973i | −0.0503372 | − | 0.998732i | \(-0.516030\pi\) |
−0.542959 | + | 0.839759i | \(0.682696\pi\) | |||||||
\(458\) | −3.93497 | − | 14.6855i | −0.183869 | − | 0.686209i | ||||
\(459\) | −36.5821 | − | 10.8104i | −1.70751 | − | 0.504588i | ||||
\(460\) | 8.10162 | + | 0.443501i | 0.377740 | + | 0.0206784i | ||||
\(461\) | 4.02367i | 0.187401i | 0.995600 | + | 0.0937006i | \(0.0298696\pi\) | ||||
−0.995600 | + | 0.0937006i | \(0.970130\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −12.2088 | − | 12.2088i | −0.567392 | − | 0.567392i | 0.364005 | − | 0.931397i | \(-0.381409\pi\) |
−0.931397 | + | 0.364005i | \(0.881409\pi\) | |||||||
\(464\) | −1.04961 | − | 1.81798i | −0.0487270 | − | 0.0843977i | ||||
\(465\) | −0.0391319 | − | 1.62564i | −0.00181470 | − | 0.0753871i | ||||
\(466\) | −6.21168 | + | 10.7589i | −0.287750 | + | 0.498398i | ||||
\(467\) | 7.80654 | − | 29.1344i | 0.361244 | − | 1.34818i | −0.511199 | − | 0.859462i | \(-0.670798\pi\) |
0.872442 | − | 0.488717i | \(-0.162535\pi\) | |||||||
\(468\) | −0.712051 | + | 6.80285i | −0.0329146 | + | 0.314462i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 14.4557 | − | 3.03750i | 0.666791 | − | 0.140109i | ||||
\(471\) | 0.588323 | + | 7.45486i | 0.0271085 | + | 0.343502i | ||||
\(472\) | −1.22452 | − | 4.56998i | −0.0563632 | − | 0.210350i | ||||
\(473\) | 1.37390 | + | 5.12746i | 0.0631719 | + | 0.235761i | ||||
\(474\) | −0.858472 | − | 10.8780i | −0.0394309 | − | 0.499644i | ||||
\(475\) | −1.54381 | − | 3.51137i | −0.0708351 | − | 0.161113i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 1.70340 | − | 16.2741i | 0.0779935 | − | 0.745141i | ||||
\(478\) | −0.0201247 | + | 0.0751063i | −0.000920481 | + | 0.00343528i | ||||
\(479\) | −6.48360 | + | 11.2299i | −0.296243 | + | 0.513108i | −0.975273 | − | 0.221002i | \(-0.929067\pi\) |
0.679030 | + | 0.734110i | \(0.262401\pi\) | |||||||
\(480\) | −14.3559 | + | 15.0641i | −0.655256 | + | 0.687581i | ||||
\(481\) | 6.42545 | + | 11.1292i | 0.292975 | + | 0.507448i | ||||
\(482\) | 9.64299 | + | 9.64299i | 0.439226 | + | 0.439226i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | − | 11.7030i | − | 0.531955i | ||||||
\(485\) | −0.972384 | + | 17.7629i | −0.0441537 | + | 0.806573i | ||||
\(486\) | −13.5217 | + | 5.61792i | −0.613358 | + | 0.254834i | ||||
\(487\) | −7.55441 | − | 28.1934i | −0.342323 | − | 1.27757i | −0.895709 | − | 0.444641i | \(-0.853331\pi\) |
0.553386 | − | 0.832925i | \(-0.313335\pi\) | |||||||
\(488\) | 27.0935 | + | 7.25967i | 1.22646 | + | 0.328630i | ||||
\(489\) | −7.12455 | + | 14.9452i | −0.322183 | + | 0.675846i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 17.3154i | 0.781432i | 0.920511 | + | 0.390716i | \(0.127773\pi\) | ||||
−0.920511 | + | 0.390716i | \(0.872227\pi\) | |||||||
\(492\) | 5.58659 | − | 6.54391i | 0.251863 | − | 0.295022i | ||||
\(493\) | −28.8857 | + | 7.73989i | −1.30094 | + | 0.348587i | ||||
\(494\) | −0.734968 | + | 1.27300i | −0.0330678 | + | 0.0572750i | ||||
\(495\) | −4.81935 | − | 0.772689i | −0.216614 | − | 0.0347298i | ||||
\(496\) | −0.216367 | −0.00971516 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −1.40641 | − | 3.96886i | −0.0630227 | − | 0.177849i | ||||
\(499\) | 14.5814 | − | 8.41859i | 0.652754 | − | 0.376868i | −0.136756 | − | 0.990605i | \(-0.543668\pi\) |
0.789511 | + | 0.613737i | \(0.210334\pi\) | |||||||
\(500\) | −1.21940 | − | 12.4367i | −0.0545331 | − | 0.556185i | ||||
\(501\) | −7.66346 | − | 11.1453i | −0.342378 | − | 0.497934i | ||||
\(502\) | −14.8865 | − | 3.98883i | −0.664417 | − | 0.178030i | ||||
\(503\) | 2.89757 | − | 2.89757i | 0.129196 | − | 0.129196i | −0.639552 | − | 0.768748i | \(-0.720880\pi\) |
0.768748 | + | 0.639552i | \(0.220880\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −11.5596 | + | 2.42897i | −0.514397 | + | 0.108088i | ||||
\(506\) | 1.92151 | − | 1.10938i | 0.0854213 | − | 0.0493180i | ||||
\(507\) | 2.78665 | − | 15.0535i | 0.123760 | − | 0.668549i | ||||
\(508\) | −1.64170 | + | 0.439891i | −0.0728385 | + | 0.0195170i | ||||
\(509\) | −1.72948 | − | 2.99555i | −0.0766579 | − | 0.132775i | 0.825148 | − | 0.564916i | \(-0.191092\pi\) |
−0.901806 | + | 0.432141i | \(0.857758\pi\) | |||||||
\(510\) | −13.9060 | − | 22.8006i | −0.615770 | − | 1.00963i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 4.09210 | + | 4.09210i | 0.180847 | + | 0.180847i | ||||
\(513\) | 3.98494 | + | 0.101777i | 0.175940 | + | 0.00449357i | ||||
\(514\) | 1.12119 | + | 0.647319i | 0.0494536 | + | 0.0285520i | ||||
\(515\) | 7.33862 | + | 14.4861i | 0.323378 | + | 0.638335i | ||||
\(516\) | −1.11117 | − | 14.0800i | −0.0489164 | − | 0.619838i | ||||
\(517\) | −3.61832 | + | 3.61832i | −0.159134 | + | 0.159134i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 20.9181 | + | 9.97191i | 0.918204 | + | 0.437718i | ||||
\(520\) | −9.94759 | + | 8.91501i | −0.436231 | + | 0.390949i | ||||
\(521\) | 31.2875 | + | 18.0638i | 1.37073 | + | 0.791392i | 0.991020 | − | 0.133714i | \(-0.0426903\pi\) |
0.379710 | + | 0.925105i | \(0.376024\pi\) | |||||||
\(522\) | −6.74314 | + | 9.28953i | −0.295139 | + | 0.406592i | ||||
\(523\) | −1.26359 | + | 4.71576i | −0.0552527 | + | 0.206206i | −0.988034 | − | 0.154237i | \(-0.950708\pi\) |
0.932781 | + | 0.360443i | \(0.117375\pi\) | |||||||
\(524\) | 12.4571 | 0.544192 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −18.6042 | −0.811181 | ||||||||
\(527\) | −0.797749 | + | 2.97724i | −0.0347505 | + | 0.129691i | ||||
\(528\) | −0.118214 | + | 0.638594i | −0.00514462 | + | 0.0277913i | ||||
\(529\) | −10.7911 | − | 6.23025i | −0.469179 | − | 0.270881i | ||||
\(530\) | 8.53133 | − | 7.64576i | 0.370577 | − | 0.332110i | ||||
\(531\) | −3.76531 | + | 3.05177i | −0.163401 | + | 0.132436i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 6.41090 | − | 6.41090i | 0.277687 | − | 0.277687i | ||||
\(534\) | −22.5434 | + | 1.77908i | −0.975549 | + | 0.0769885i | ||||
\(535\) | −18.5078 | − | 36.5337i | −0.800164 | − | 1.57949i | ||||
\(536\) | −18.1259 | − | 10.4650i | −0.782918 | − | 0.452018i | ||||
\(537\) | 14.2922 | − | 16.7413i | 0.616752 | − | 0.722439i | ||||
\(538\) | −1.10951 | − | 1.10951i | −0.0478343 | − | 0.0478343i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 12.2343 | + | 4.35559i | 0.526482 | + | 0.187435i | ||||
\(541\) | 16.1283 | + | 27.9350i | 0.693408 | + | 1.20102i | 0.970714 | + | 0.240237i | \(0.0772251\pi\) |
−0.277306 | + | 0.960782i | \(0.589442\pi\) | |||||||
\(542\) | −1.17357 | + | 0.314458i | −0.0504093 | + | 0.0135071i | ||||
\(543\) | 16.2819 | + | 3.01405i | 0.698724 | + | 0.129345i | ||||
\(544\) | 34.1591 | − | 19.7218i | 1.46456 | − | 0.845564i | ||||
\(545\) | −13.8313 | + | 2.90630i | −0.592469 | + | 0.124492i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 21.2554 | − | 21.2554i | 0.908817 | − | 0.908817i | −0.0873598 | − | 0.996177i | \(-0.527843\pi\) |
0.996177 | + | 0.0873598i | \(0.0278430\pi\) | |||||||
\(548\) | −12.4514 | − | 3.33635i | −0.531899 | − | 0.142522i | ||||
\(549\) | −4.50723 | − | 28.3786i | −0.192364 | − | 1.21117i | ||||
\(550\) | −2.13813 | − | 2.66565i | −0.0911702 | − | 0.113664i | ||||
\(551\) | 2.70635 | − | 1.56251i | 0.115294 | − | 0.0665653i | ||||
\(552\) | −15.5212 | + | 5.50011i | −0.660627 | + | 0.234100i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −10.9971 | −0.467222 | ||||||||
\(555\) | 23.4087 | − | 6.88021i | 0.993644 | − | 0.292049i | ||||
\(556\) | −0.744214 | + | 1.28902i | −0.0315617 | + | 0.0546665i | ||||
\(557\) | −7.37940 | + | 1.97731i | −0.312675 | + | 0.0837811i | −0.411744 | − | 0.911299i | \(-0.635080\pi\) |
0.0990688 | + | 0.995081i | \(0.468414\pi\) | |||||||
\(558\) | 0.481687 | + | 1.08064i | 0.0203914 | + | 0.0457469i | ||||
\(559\) | − | 14.8824i | − | 0.629459i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 8.35130 | + | 3.98116i | 0.352592 | + | 0.168085i | ||||
\(562\) | 12.9762 | + | 3.47696i | 0.547368 | + | 0.146667i | ||||
\(563\) | 1.69383 | + | 6.32147i | 0.0713866 | + | 0.266418i | 0.992390 | − | 0.123137i | \(-0.0392954\pi\) |
−0.921003 | + | 0.389555i | \(0.872629\pi\) | |||||||
\(564\) | 11.2188 | − | 7.71400i | 0.472395 | − | 0.324818i | ||||
\(565\) | −1.38096 | + | 25.2265i | −0.0580972 | + | 1.06129i | ||||
\(566\) | 9.81251i | 0.412450i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 14.6298 | + | 14.6298i | 0.613855 | + | 0.613855i | ||||
\(569\) | −10.0777 | − | 17.4551i | −0.422481 | − | 0.731758i | 0.573701 | − | 0.819065i | \(-0.305507\pi\) |
−0.996181 | + | 0.0873070i | \(0.972174\pi\) | |||||||
\(570\) | 2.02034 | + | 1.92536i | 0.0846227 | + | 0.0806444i | ||||
\(571\) | 8.94741 | − | 15.4974i | 0.374438 | − | 0.648545i | −0.615805 | − | 0.787898i | \(-0.711169\pi\) |
0.990243 | + | 0.139354i | \(0.0445025\pi\) | |||||||
\(572\) | 0.429364 | − | 1.60241i | 0.0179526 | − | 0.0670001i | ||||
\(573\) | 7.64219 | − | 2.70809i | 0.319257 | − | 0.113132i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 5.88762 | − | 15.1269i | 0.245531 | − | 0.630835i | ||||
\(576\) | 6.52659 | − | 17.0242i | 0.271941 | − | 0.709342i | ||||
\(577\) | −3.69346 | − | 13.7842i | −0.153761 | − | 0.573844i | −0.999208 | − | 0.0397848i | \(-0.987333\pi\) |
0.845447 | − | 0.534059i | \(-0.179334\pi\) | |||||||
\(578\) | 8.96910 | + | 33.4731i | 0.373066 | + | 1.39230i | ||||
\(579\) | −12.4093 | + | 0.979317i | −0.515713 | + | 0.0406990i | ||||
\(580\) | 9.96326 | − | 2.09353i | 0.413702 | − | 0.0869290i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −4.32321 | − | 12.2000i | −0.179203 | − | 0.505707i | ||||
\(583\) | −1.02715 | + | 3.83337i | −0.0425401 | + | 0.158762i | ||||
\(584\) | 23.1081 | − | 40.0243i | 0.956219 | − | 1.65622i | ||||
\(585\) | 12.4904 | + | 5.58953i | 0.516416 | + | 0.231099i | ||||
\(586\) | −6.22385 | − | 10.7800i | −0.257105 | − | 0.445319i | ||||
\(587\) | −3.21441 | − | 3.21441i | −0.132673 | − | 0.132673i | 0.637652 | − | 0.770325i | \(-0.279906\pi\) |
−0.770325 | + | 0.637652i | \(0.779906\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 0.322096i | − | 0.0132717i | ||||||
\(590\) | −3.38821 | − | 0.185479i | −0.139491 | − | 0.00763604i | ||||
\(591\) | −5.29746 | − | 7.70430i | −0.217908 | − | 0.316913i | ||||
\(592\) | −0.840248 | − | 3.13585i | −0.0345340 | − | 0.128883i | ||||
\(593\) | −38.0911 | − | 10.2065i | −1.56421 | − | 0.419130i | −0.630219 | − | 0.776417i | \(-0.717035\pi\) |
−0.933995 | + | 0.357287i | \(0.883702\pi\) | |||||||
\(594\) | 3.45261 | − | 0.831254i | 0.141662 | − | 0.0341068i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 1.45403i | 0.0595594i | ||||||||
\(597\) | −15.4878 | − | 13.2221i | −0.633873 | − | 0.541143i | ||||
\(598\) | −6.00855 | + | 1.60999i | −0.245708 | + | 0.0658373i | ||||
\(599\) | 22.6620 | − | 39.2518i | 0.925945 | − | 1.60378i | 0.135911 | − | 0.990721i | \(-0.456604\pi\) |
0.790034 | − | 0.613063i | \(-0.210063\pi\) | |||||||
\(600\) | 12.0023 | + | 22.3415i | 0.489992 | + | 0.912089i | ||||
\(601\) | 10.2265 | 0.417148 | 0.208574 | − | 0.978007i | \(-0.433118\pi\) | ||||
0.208574 | + | 0.978007i | \(0.433118\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −2.23204 | + | 21.3246i | −0.0908955 | + | 0.868405i | ||||
\(604\) | 3.06988 | − | 1.77239i | 0.124912 | − | 0.0721177i | ||||
\(605\) | −22.2501 | − | 7.28682i | −0.904597 | − | 0.296251i | ||||
\(606\) | 7.08172 | − | 4.86937i | 0.287675 | − | 0.197805i | ||||
\(607\) | 33.9936 | + | 9.10857i | 1.37976 | + | 0.369705i | 0.871034 | − | 0.491223i | \(-0.163450\pi\) |
0.508725 | + | 0.860929i | \(0.330117\pi\) | |||||||
\(608\) | −2.91458 | + | 2.91458i | −0.118202 | + | 0.118202i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 10.9959 | − | 16.8463i | 0.445213 | − | 0.682086i | ||||
\(611\) | 12.4242 | − | 7.17311i | 0.502629 | − | 0.290193i | ||||
\(612\) | −19.9208 | − | 14.4603i | −0.805253 | − | 0.584521i | ||||
\(613\) | 4.99557 | − | 1.33856i | 0.201769 | − | 0.0540639i | −0.156519 | − | 0.987675i | \(-0.550027\pi\) |
0.358288 | + | 0.933611i | \(0.383361\pi\) | |||||||
\(614\) | 11.0947 | + | 19.2165i | 0.447744 | + | 0.775515i | ||||
\(615\) | −8.96302 | − | 14.6959i | −0.361424 | − | 0.592597i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −21.2024 | − | 21.2024i | −0.853575 | − | 0.853575i | 0.136996 | − | 0.990572i | \(-0.456255\pi\) |
−0.990572 | + | 0.136996i | \(0.956255\pi\) | |||||||
\(618\) | −8.98598 | − | 7.67141i | −0.361469 | − | 0.308590i | ||||
\(619\) | 12.7897 | + | 7.38415i | 0.514063 | + | 0.296794i | 0.734502 | − | 0.678606i | \(-0.237416\pi\) |
−0.220439 | + | 0.975401i | \(0.570749\pi\) | |||||||
\(620\) | 0.326585 | − | 0.997222i | 0.0131160 | − | 0.0400494i | ||||
\(621\) | 11.6198 | + | 12.2289i | 0.466287 | + | 0.490729i | ||||
\(622\) | 10.3690 | − | 10.3690i | 0.415761 | − | 0.415761i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0.783512 | − | 1.64358i | 0.0313656 | − | 0.0657957i | ||||
\(625\) | −24.4042 | − | 5.42526i | −0.976169 | − | 0.217011i | ||||
\(626\) | 13.3199 | + | 7.69022i | 0.532368 | + | 0.307363i | ||||
\(627\) | −0.950648 | − | 0.175981i | −0.0379652 | − | 0.00702800i | ||||
\(628\) | −1.24896 | + | 4.66119i | −0.0498391 | + | 0.186002i | ||||
\(629\) | −46.2478 | −1.84402 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −34.8644 | −1.38793 | −0.693965 | − | 0.720009i | \(-0.744138\pi\) | ||||
−0.693965 | + | 0.720009i | \(0.744138\pi\) | |||||||
\(632\) | 5.08356 | − | 18.9721i | 0.202213 | − | 0.754670i | ||||
\(633\) | 43.3236 | + | 8.01991i | 1.72196 | + | 0.318763i | ||||
\(634\) | −19.5791 | − | 11.3040i | −0.777583 | − | 0.448938i | ||||
\(635\) | −0.185858 | + | 3.39514i | −0.00737554 | + | 0.134732i | ||||
\(636\) | 4.54379 | − | 9.53153i | 0.180173 | − | 0.377950i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 1.96860 | − | 1.96860i | 0.0779377 | − | 0.0779377i | ||||
\(639\) | 7.58711 | − | 19.7905i | 0.300141 | − | 0.782901i | ||||
\(640\) | −10.0478 | + | 5.09016i | −0.397172 | + | 0.201206i | ||||
\(641\) | 31.5849 | + | 18.2355i | 1.24753 | + | 0.720260i | 0.970616 | − | 0.240635i | \(-0.0773558\pi\) |
0.276912 | + | 0.960895i | \(0.410689\pi\) | |||||||
\(642\) | 22.6625 | + | 19.3472i | 0.894416 | + | 0.763571i | ||||
\(643\) | 23.1512 | + | 23.1512i | 0.912995 | + | 0.912995i | 0.996507 | − | 0.0835116i | \(-0.0266136\pi\) |
−0.0835116 | + | 0.996507i | \(0.526614\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −27.4612 | − | 6.65426i | −1.08128 | − | 0.262011i | ||||
\(646\) | −2.64500 | − | 4.58128i | −0.104066 | − | 0.180248i | ||||
\(647\) | 10.3309 | − | 2.76815i | 0.406148 | − | 0.108827i | −0.0499604 | − | 0.998751i | \(-0.515910\pi\) |
0.456109 | + | 0.889924i | \(0.349243\pi\) | |||||||
\(648\) | −26.3190 | + | 1.40202i | −1.03391 | + | 0.0550765i | ||||
\(649\) | 1.01801 | − | 0.587749i | 0.0399605 | − | 0.0230712i | ||||
\(650\) | 3.85594 | + | 8.77024i | 0.151242 | + | 0.343997i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −7.55475 | + | 7.55475i | −0.295867 | + | 0.295867i | ||||
\(653\) | −0.727486 | − | 0.194929i | −0.0284687 | − | 0.00762817i | 0.244557 | − | 0.969635i | \(-0.421358\pi\) |
−0.273025 | + | 0.962007i | \(0.588024\pi\) | |||||||
\(654\) | 8.47341 | − | 5.82630i | 0.331336 | − | 0.227826i | ||||
\(655\) | 7.75636 | − | 23.6839i | 0.303066 | − | 0.925405i | ||||
\(656\) | −1.98355 | + | 1.14520i | −0.0774445 | + | 0.0447126i | ||||
\(657\) | −47.0876 | − | 4.92864i | −1.83706 | − | 0.192284i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 7.95212 | 0.309771 | 0.154885 | − | 0.987932i | \(-0.450499\pi\) | ||||
0.154885 | + | 0.987932i | \(0.450499\pi\) | |||||||
\(660\) | −2.76481 | − | 1.50874i | −0.107620 | − | 0.0587277i | ||||
\(661\) | −11.3090 | + | 19.5878i | −0.439870 | + | 0.761877i | −0.997679 | − | 0.0680919i | \(-0.978309\pi\) |
0.557809 | + | 0.829969i | \(0.311642\pi\) | |||||||
\(662\) | 8.74731 | − | 2.34383i | 0.339974 | − | 0.0910957i | ||||
\(663\) | −19.7270 | − | 16.8411i | −0.766134 | − | 0.654056i | ||||
\(664\) | − | 7.57926i | − | 0.294132i | ||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −13.7913 | + | 11.1778i | −0.534401 | + | 0.433130i | ||||
\(667\) | 12.7740 | + | 3.42277i | 0.494610 | + | 0.132530i | ||||
\(668\) | −2.25904 | − | 8.43084i | −0.0874048 | − | 0.326199i | ||||
\(669\) | 10.6009 | + | 15.4173i | 0.409854 | + | 0.596066i | ||||
\(670\) | −11.1789 | + | 10.0185i | −0.431879 | + | 0.387049i | ||||
\(671\) | 6.96903i | 0.269037i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 19.5657 | + | 19.5657i | 0.754203 | + | 0.754203i | 0.975261 | − | 0.221058i | \(-0.0709509\pi\) |
−0.221058 | + | 0.975261i | \(0.570951\pi\) | |||||||
\(674\) | −1.28033 | − | 2.21760i | −0.0493165 | − | 0.0854187i | ||||
\(675\) | 15.8986 | − | 20.5483i | 0.611938 | − | 0.790905i | ||||
\(676\) | 4.93958 | − | 8.55560i | 0.189984 | − | 0.329062i | ||||
\(677\) | −11.1292 | + | 41.5349i | −0.427731 | + | 1.59632i | 0.330154 | + | 0.943927i | \(0.392899\pi\) |
−0.757885 | + | 0.652388i | \(0.773767\pi\) | |||||||
\(678\) | −6.13971 | − | 17.3262i | −0.235794 | − | 0.665408i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −9.88528 | − | 47.0448i | −0.379083 | − | 1.80409i | ||||
\(681\) | −1.39818 | + | 0.110342i | −0.0535784 | + | 0.00422830i | ||||
\(682\) | −0.0742679 | − | 0.277171i | −0.00284386 | − | 0.0106134i | ||||
\(683\) | −10.9131 | − | 40.7282i | −0.417578 | − | 1.55842i | −0.779616 | − | 0.626258i | \(-0.784586\pi\) |
0.362039 | − | 0.932163i | \(-0.382081\pi\) | |||||||
\(684\) | 2.40189 | + | 0.920814i | 0.0918386 | + | 0.0352082i | ||||
\(685\) | −14.0960 | + | 21.5957i | −0.538580 | + | 0.825129i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −26.4248 | + | 9.36392i | −1.00817 | + | 0.357256i | ||||
\(688\) | −0.973078 | + | 3.63158i | −0.0370982 | + | 0.138453i | ||||
\(689\) | 5.56316 | − | 9.63568i | 0.211940 | − | 0.367090i | ||||
\(690\) | 0.284213 | + | 11.8069i | 0.0108198 | + | 0.449482i | ||||
\(691\) | −3.78240 | − | 6.55130i | −0.143889 | − | 0.249223i | 0.785069 | − | 0.619409i | \(-0.212628\pi\) |
−0.928958 | + | 0.370185i | \(0.879294\pi\) | |||||||
\(692\) | 10.5740 | + | 10.5740i | 0.401965 | + | 0.401965i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 25.7420i | 0.977151i | ||||||||
\(695\) | 1.98734 | + | 2.21752i | 0.0753841 | + | 0.0841154i | ||||
\(696\) | −17.0257 | + | 11.7068i | −0.645356 | + | 0.443745i | ||||
\(697\) | 8.44476 | + | 31.5163i | 0.319868 | + | 1.19376i | ||||
\(698\) | −3.71843 | − | 0.996350i | −0.140745 | − | 0.0377124i | ||||
\(699\) | 20.6788 | + | 9.85782i | 0.782143 | + | 0.372857i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 39.5039i | 1.49204i | 0.665923 | + | 0.746020i | \(0.268038\pi\) | ||||
−0.665923 | + | 0.746020i | \(0.731962\pi\) | |||||||
\(702\) | −9.95306 | − | 0.254205i | −0.375654 | − | 0.00959437i | ||||
\(703\) | 4.66820 | − | 1.25084i | 0.176065 | − | 0.0471764i | ||||
\(704\) | −2.21099 | + | 3.82954i | −0.0833298 | + | 0.144331i | ||||
\(705\) | −7.68079 | − | 26.1325i | −0.289275 | − | 0.984209i | ||||
\(706\) | −27.7161 | −1.04311 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −2.94801 | + | 1.04466i | −0.110793 | + | 0.0392607i | ||||
\(709\) | −17.8431 | + | 10.3017i | −0.670112 | + | 0.386889i | −0.796119 | − | 0.605140i | \(-0.793117\pi\) |
0.126007 | + | 0.992029i | \(0.459784\pi\) | |||||||
\(710\) | 13.2373 | − | 6.70598i | 0.496787 | − | 0.251671i | ||||
\(711\) | −19.8720 | + | 3.15618i | −0.745258 | + | 0.118366i | ||||
\(712\) | −39.3175 | − | 10.5351i | −1.47349 | − | 0.394819i | ||||
\(713\) | 0.963825 | − | 0.963825i | 0.0360955 | − | 0.0360955i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.77921 | − | 1.81405i | −0.103937 | − | 0.0678417i | ||||
\(716\) | 12.3015 | − | 7.10230i | 0.459730 | − | 0.265425i | ||||
\(717\) | 0.140984 | + | 0.0260984i | 0.00526513 | + | 0.000974664i | ||||
\(718\) | −26.0494 | + | 6.97990i | −0.972153 | + | 0.260488i | ||||
\(719\) | −3.53101 | − | 6.11588i | −0.131684 | − | 0.228084i | 0.792642 | − | 0.609688i | \(-0.208705\pi\) |
−0.924326 | + | 0.381604i | \(0.875372\pi\) | |||||||
\(720\) | −2.68242 | − | 2.18063i | −0.0999680 | − | 0.0812671i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −12.2287 | − | 12.2287i | −0.455106 | − | 0.455106i | ||||
\(723\) | 16.3273 | − | 19.1252i | 0.607220 | − | 0.711273i | ||||
\(724\) | 9.25377 | + | 5.34267i | 0.343914 | + | 0.198559i | ||||
\(725\) | 2.22329 | − | 20.2460i | 0.0825708 | − | 0.751917i | ||||
\(726\) | 16.9821 | − | 1.34019i | 0.630264 | − | 0.0497392i | ||||
\(727\) | 8.73967 | − | 8.73967i | 0.324136 | − | 0.324136i | −0.526215 | − | 0.850351i | \(-0.676389\pi\) |
0.850351 | + | 0.526215i | \(0.176389\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 12.2888 | + | 24.0413i | 0.455140 | + | 0.890420i | ||||
\(730\) | −22.1222 | − | 24.6846i | −0.818781 | − | 0.913617i | ||||
\(731\) | 46.3833 | + | 26.7794i | 1.71555 | + | 0.990472i | ||||
\(732\) | 3.37516 | − | 18.2326i | 0.124750 | − | 0.673897i | ||||
\(733\) | 10.3953 | − | 38.7958i | 0.383959 | − | 1.43296i | −0.455841 | − | 0.890061i | \(-0.650662\pi\) |
0.839801 | − | 0.542895i | \(-0.182672\pi\) | |||||||
\(734\) | −28.8540 | −1.06502 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −17.4429 | −0.642954 | ||||||||
\(737\) | 1.34591 | − | 5.02300i | 0.0495772 | − | 0.185025i | ||||
\(738\) | 10.1355 | + | 7.35724i | 0.373094 | + | 0.270824i | ||||
\(739\) | 19.1703 | + | 11.0680i | 0.705192 | + | 0.407143i | 0.809278 | − | 0.587426i | \(-0.199859\pi\) |
−0.104086 | + | 0.994568i | \(0.533192\pi\) | |||||||
\(740\) | 15.7212 | + | 0.860616i | 0.577923 | + | 0.0316369i | ||||
\(741\) | 2.44672 | + | 1.16638i | 0.0898825 | + | 0.0428481i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −24.6420 | + | 24.6420i | −0.904028 | + | 0.904028i | −0.995782 | − | 0.0917535i | \(-0.970753\pi\) |
0.0917535 | + | 0.995782i | \(0.470753\pi\) | |||||||
\(744\) | 0.167546 | + | 2.12304i | 0.00614254 | + | 0.0778344i | ||||
\(745\) | 2.76445 | + | 0.905344i | 0.101282 | + | 0.0331692i | ||||
\(746\) | −19.7811 | − | 11.4206i | −0.724237 | − | 0.418139i | ||||
\(747\) | −7.09174 | + | 3.16110i | −0.259473 | + | 0.115659i | ||||
\(748\) | 4.22155 | + | 4.22155i | 0.154355 | + | 0.154355i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 17.9070 | − | 3.19366i | 0.653872 | − | 0.116616i | ||||
\(751\) | −8.99819 | − | 15.5853i | −0.328349 | − | 0.568717i | 0.653836 | − | 0.756637i | \(-0.273159\pi\) |
−0.982184 | + | 0.187920i | \(0.939825\pi\) | |||||||
\(752\) | −3.50073 | + | 0.938019i | −0.127659 | + | 0.0342060i | ||||
\(753\) | −5.17286 | + | 27.9438i | −0.188510 | + | 1.01833i | ||||
\(754\) | −6.75957 | + | 3.90264i | −0.246169 | + | 0.142126i | ||||
\(755\) | −1.45829 | − | 6.94012i | −0.0530726 | − | 0.252577i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 22.1895 | − | 22.1895i | 0.806492 | − | 0.806492i | −0.177609 | − | 0.984101i | \(-0.556836\pi\) |
0.984101 | + | 0.177609i | \(0.0568362\pi\) | |||||||
\(758\) | −7.67364 | − | 2.05614i | −0.278719 | − | 0.0746825i | ||||
\(759\) | −2.31808 | − | 3.37127i | −0.0841409 | − | 0.122369i | ||||
\(760\) | 2.27021 | + | 4.48129i | 0.0823491 | + | 0.162554i | ||||
\(761\) | −19.5072 | + | 11.2625i | −0.707135 | + | 0.408265i | −0.809999 | − | 0.586431i | \(-0.800533\pi\) |
0.102864 | + | 0.994695i | \(0.467199\pi\) | |||||||
\(762\) | −0.826322 | − | 2.33187i | −0.0299345 | − | 0.0844746i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 5.23203 | 0.189288 | ||||||||
\(765\) | −39.8959 | + | 28.8705i | −1.44244 | + | 1.04382i | ||||
\(766\) | 4.79077 | − | 8.29786i | 0.173098 | − | 0.299814i | ||||
\(767\) | −3.18333 | + | 0.852970i | −0.114943 | + | 0.0307990i | ||||
\(768\) | 18.9904 | − | 22.2445i | 0.685255 | − | 0.802680i | ||||
\(769\) | 26.8027i | 0.966531i | 0.875474 | + | 0.483265i | \(0.160549\pi\) | ||||
−0.875474 | + | 0.483265i | \(0.839451\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 1.02728 | − | 2.15494i | 0.0369967 | − | 0.0776082i | ||||
\(772\) | −7.75899 | − | 2.07901i | −0.279252 | − | 0.0748253i | ||||
\(773\) | −6.22929 | − | 23.2480i | −0.224052 | − | 0.836174i | −0.982782 | − | 0.184768i | \(-0.940847\pi\) |
0.758730 | − | 0.651405i | \(-0.225820\pi\) | |||||||
\(774\) | 20.3041 | − | 3.22480i | 0.729815 | − | 0.115913i | ||||
\(775\) | −1.69260 | − | 1.24183i | −0.0608001 | − | 0.0446078i | ||||
\(776\) | − | 23.2981i | − | 0.836355i | ||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −11.0666 | − | 11.0666i | −0.396758 | − | 0.396758i | ||||
\(779\) | −1.70481 | − | 2.95282i | −0.0610812 | − | 0.105796i | ||||
\(780\) | 6.39250 | + | 6.09198i | 0.228888 | + | 0.218128i | ||||
\(781\) | −2.57026 | + | 4.45182i | −0.0919711 | + | 0.159299i | ||||
\(782\) | 5.79402 | − | 21.6236i | 0.207194 | − | 0.773258i | ||||
\(783\) | 18.0547 | + | 11.0479i | 0.645224 | + | 0.394821i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 8.08435 | + | 5.27683i | 0.288543 | + | 0.188338i | ||||
\(786\) | 1.42655 | + | 18.0764i | 0.0508834 | + | 0.644762i | ||||
\(787\) | −6.87680 | − | 25.6646i | −0.245132 | − | 0.914844i | −0.973317 | − | 0.229464i | \(-0.926303\pi\) |
0.728186 | − | 0.685380i | \(-0.240364\pi\) | |||||||
\(788\) | −1.56159 | − | 5.82792i | −0.0556292 | − | 0.207611i | ||||
\(789\) | 2.69893 | + | 34.1992i | 0.0960845 | + | 1.21752i | ||||
\(790\) | −11.7966 | − | 7.69988i | −0.419703 | − | 0.273949i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 6.35757 | + | 0.665444i | 0.225906 | + | 0.0236455i | ||||
\(793\) | 5.05690 | − | 18.8726i | 0.179576 | − | 0.670186i | ||||
\(794\) | −4.48918 | + | 7.77549i | −0.159315 | + | 0.275942i | ||||
\(795\) | −15.2925 | − | 14.5736i | −0.542368 | − | 0.516871i | ||||
\(796\) | −6.57053 | − | 11.3805i | −0.232886 | − | 0.403371i | ||||
\(797\) | −19.6457 | − | 19.6457i | −0.695888 | − | 0.695888i | 0.267633 | − | 0.963521i | \(-0.413759\pi\) |
−0.963521 | + | 0.267633i | \(0.913759\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 51.6292i | 1.82651i | ||||||||
\(800\) | 4.07896 | + | 26.5530i | 0.144213 | + | 0.938792i | ||||
\(801\) | 6.54081 | + | 41.1824i | 0.231108 | + | 1.45511i | ||||
\(802\) | −4.82754 | − | 18.0166i | −0.170466 | − | 0.636189i | ||||
\(803\) | 11.0915 | + | 2.97195i | 0.391410 | + | 0.104878i | ||||
\(804\) | −5.95390 | + | 12.4895i | −0.209978 | + | 0.440472i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0.804489i | 0.0283369i | ||||||||
\(807\) | −1.87860 | + | 2.20052i | −0.0661298 | + | 0.0774618i | ||||
\(808\) | 14.9426 | − | 4.00387i | 0.525680 | − | 0.140855i | ||||
\(809\) | −19.2730 | + | 33.3818i | −0.677603 | + | 1.17364i | 0.298098 | + | 0.954535i | \(0.403648\pi\) |
−0.975701 | + | 0.219107i | \(0.929686\pi\) | |||||||
\(810\) | −4.91930 | + | 18.2519i | −0.172846 | + | 0.641305i | ||||
\(811\) | −26.0551 | −0.914919 | −0.457460 | − | 0.889230i | \(-0.651241\pi\) | ||||
−0.457460 | + | 0.889230i | \(0.651241\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0.748305 | + | 2.11170i | 0.0262442 | + | 0.0740607i | ||||
\(814\) | 3.72869 | − | 2.15276i | 0.130690 | − | 0.0754542i | ||||
\(815\) | 9.65941 | + | 19.0672i | 0.338354 | + | 0.667897i | ||||
\(816\) | 3.71260 | + | 5.39938i | 0.129967 | + | 0.189016i | ||||
\(817\) | −5.40617 | − | 1.44858i | −0.189138 | − | 0.0506794i | ||||
\(818\) | −17.4334 | + | 17.4334i | −0.609544 | + | 0.609544i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −2.28419 | − | 10.8706i | −0.0797672 | − | 0.379618i | ||||
\(821\) | 11.8022 | − | 6.81400i | 0.411899 | − | 0.237810i | −0.279706 | − | 0.960086i | \(-0.590237\pi\) |
0.691605 | + | 0.722276i | \(0.256904\pi\) | |||||||
\(822\) | 3.41543 | − | 18.4502i | 0.119127 | − | 0.643524i | ||||
\(823\) | −30.5626 | + | 8.18923i | −1.06535 | + | 0.285459i | −0.748580 | − | 0.663045i | \(-0.769264\pi\) |
−0.316766 | + | 0.948504i | \(0.602597\pi\) | |||||||
\(824\) | −10.6337 | − | 18.4181i | −0.370443 | − | 0.641625i | ||||
\(825\) | −4.58996 | + | 4.31713i | −0.159802 | + | 0.150303i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 0.690034 | + | 0.690034i | 0.0239948 | + | 0.0239948i | 0.719002 | − | 0.695008i | \(-0.244599\pi\) |
−0.695008 | + | 0.719002i | \(0.744599\pi\) | |||||||
\(828\) | 4.43190 | + | 9.94271i | 0.154019 | + | 0.345533i | ||||
\(829\) | 12.2802 | + | 7.08996i | 0.426508 | + | 0.246244i | 0.697858 | − | 0.716236i | \(-0.254137\pi\) |
−0.271350 | + | 0.962481i | \(0.587470\pi\) | |||||||
\(830\) | −5.16599 | − | 1.69184i | −0.179314 | − | 0.0587245i | ||||
\(831\) | 1.59536 | + | 20.2155i | 0.0553426 | + | 0.701266i | ||||
\(832\) | 8.76631 | − | 8.76631i | 0.303917 | − | 0.303917i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −1.95570 | − | 0.932305i | −0.0677203 | − | 0.0322831i | ||||
\(835\) | −17.4356 | − | 0.954463i | −0.603382 | − | 0.0330305i | ||||
\(836\) | −0.540298 | − | 0.311941i | −0.0186866 | − | 0.0107887i | ||||
\(837\) | 1.91660 | − | 1.04223i | 0.0662474 | − | 0.0360248i | ||||
\(838\) | −5.81746 | + | 21.7110i | −0.200961 | + | 0.749996i | ||||
\(839\) | 57.1107 | 1.97168 | 0.985840 | − | 0.167690i | \(-0.0536306\pi\) | ||||
0.985840 | + | 0.167690i | \(0.0536306\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −12.4063 | −0.427803 | ||||||||
\(842\) | 2.40540 | − | 8.97709i | 0.0828957 | − | 0.309371i | ||||
\(843\) | 4.50906 | − | 24.3580i | 0.155300 | − | 0.838933i | ||||
\(844\) | 24.6228 | + | 14.2160i | 0.847552 | + | 0.489334i | ||||
\(845\) | −13.1906 | − | 14.7184i | −0.453770 | − | 0.506328i | ||||
\(846\) | 12.4784 | + | 15.3960i | 0.429017 | + | 0.529326i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −1.98753 | + | 1.98753i | −0.0682522 | + | 0.0682522i | ||||
\(849\) | 18.0379 | − | 1.42351i | 0.619058 | − | 0.0488549i | ||||
\(850\) | −34.2721 | − | 3.76355i | −1.17552 | − | 0.129089i | ||||
\(851\) | 17.7119 | + | 10.2260i | 0.607155 | + | 0.350541i | ||||
\(852\) | 8.88045 | − | 10.4022i | 0.304239 | − | 0.356374i | ||||
\(853\) | 27.4480 | + | 27.4480i | 0.939802 | + | 0.939802i | 0.998288 | − | 0.0584858i | \(-0.0186272\pi\) |
−0.0584858 | + | 0.998288i | \(0.518627\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 3.24620 | − | 3.99321i | 0.111018 | − | 0.136565i | ||||
\(856\) | 26.8180 | + | 46.4501i | 0.916620 | + | 1.58763i | ||||
\(857\) | −16.6252 | + | 4.45470i | −0.567905 | + | 0.152170i | −0.531335 | − | 0.847162i | \(-0.678310\pi\) |
−0.0365692 | + | 0.999331i | \(0.511643\pi\) | |||||||
\(858\) | 2.37440 | + | 0.439542i | 0.0810608 | + | 0.0150057i | ||||
\(859\) | 14.8376 | − | 8.56649i | 0.506252 | − | 0.292285i | −0.225040 | − | 0.974350i | \(-0.572251\pi\) |
0.731292 | + | 0.682065i | \(0.238918\pi\) | |||||||
\(860\) | −15.2689 | − | 9.96638i | −0.520667 | − | 0.339851i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −21.3260 | + | 21.3260i | −0.726367 | + | 0.726367i | ||||
\(863\) | −14.6486 | − | 3.92508i | −0.498644 | − | 0.133611i | 0.000726566 | − | 1.00000i | \(-0.499769\pi\) |
−0.499371 | + | 0.866388i | \(0.666435\pi\) | |||||||
\(864\) | −26.7738 | − | 7.91199i | −0.910865 | − | 0.269171i | ||||
\(865\) | 26.6876 | − | 13.5198i | 0.907404 | − | 0.459688i | ||||
\(866\) | 15.5662 | − | 8.98713i | 0.528960 | − | 0.305395i | ||||
\(867\) | 60.2309 | − | 21.3435i | 2.04555 | − | 0.724862i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 4.88005 | 0.165544 | ||||||||
\(870\) | 4.17885 | + | 14.2178i | 0.141676 | + | 0.482029i | ||||
\(871\) | −7.28962 | + | 12.6260i | −0.246999 | + | 0.427816i | ||||
\(872\) | 17.8791 | − | 4.79070i | 0.605464 | − | 0.162234i | ||||
\(873\) | −21.7995 | + | 9.71702i | −0.737803 | + | 0.328871i | ||||
\(874\) | 2.33937i | 0.0791304i | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −27.5786 | − | 13.1470i | −0.931793 | − | 0.444197i | ||||
\(877\) | 5.95111 | + | 1.59460i | 0.200955 | + | 0.0538456i | 0.357892 | − | 0.933763i | \(-0.383495\pi\) |
−0.156938 | + | 0.987609i | \(0.550162\pi\) | |||||||
\(878\) | −8.26695 | − | 30.8527i | −0.278996 | − | 1.04123i | ||||
\(879\) | −18.9135 | + | 13.0049i | −0.637937 | + | 0.438644i | ||||
\(880\) | 0.559566 | + | 0.624378i | 0.0188630 | + | 0.0210478i | ||||
\(881\) | − | 22.1697i | − | 0.746915i | −0.927647 | − | 0.373457i | \(-0.878172\pi\) | ||
0.927647 | − | 0.373457i | \(-0.121828\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 18.3373 | + | 18.3373i | 0.617098 | + | 0.617098i | 0.944786 | − | 0.327688i | \(-0.106269\pi\) |
−0.327688 | + | 0.944786i | \(0.606269\pi\) | |||||||
\(884\) | −8.36898 | − | 14.4955i | −0.281479 | − | 0.487536i | ||||
\(885\) | 0.150576 | + | 6.25530i | 0.00506156 | + | 0.210270i | ||||
\(886\) | 12.5074 | − | 21.6635i | 0.420194 | − | 0.727798i | ||||
\(887\) | −2.35771 | + | 8.79908i | −0.0791641 | + | 0.295444i | −0.994145 | − | 0.108052i | \(-0.965539\pi\) |
0.914981 | + | 0.403497i | \(0.132205\pi\) | |||||||
\(888\) | −30.1190 | + | 10.6730i | −1.01073 | + | 0.358162i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −15.9571 | + | 24.4470i | −0.534883 | + | 0.819465i | ||||
\(891\) | −2.02893 | − | 6.22617i | −0.0679717 | − | 0.208585i | ||||
\(892\) | 3.12493 | + | 11.6624i | 0.104630 | + | 0.390486i | ||||
\(893\) | −1.39639 | − | 5.21139i | −0.0467284 | − | 0.174393i | ||||
\(894\) | −2.10992 | + | 0.166511i | −0.0705664 | + | 0.00556896i | ||||
\(895\) | −5.84363 | − | 27.8103i | −0.195331 | − | 0.929595i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 3.83123 | + | 10.8117i | 0.127921 | + | 0.360991i | ||||
\(898\) | 3.28367 | − | 12.2548i | 0.109577 | − | 0.408949i | ||||
\(899\) | 0.855156 | − | 1.48117i | 0.0285211 | − | 0.0493999i | ||||
\(900\) | 14.0992 | − | 9.07168i | 0.469974 | − | 0.302389i | ||||
\(901\) | 20.0207 | + | 34.6769i | 0.666986 | + | 1.15525i | ||||
\(902\) | −2.14788 | − | 2.14788i | −0.0715167 | − | 0.0715167i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | − | 33.0875i | − | 1.10047i | ||||||
\(905\) | 15.9195 | − | 14.2670i | 0.529180 | − | 0.474250i | ||||
\(906\) | 2.92345 | + | 4.25169i | 0.0971251 | + | 0.141253i | ||||
\(907\) | 11.0244 | + | 41.1437i | 0.366060 | + | 1.36615i | 0.865979 | + | 0.500081i | \(0.166696\pi\) |
−0.499919 | + | 0.866072i | \(0.666637\pi\) | |||||||
\(908\) | −0.874221 | − | 0.234247i | −0.0290121 | − | 0.00777376i | ||||
\(909\) | −9.97849 | − | 12.3116i | −0.330966 | − | 0.408349i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 18.4223i | − | 0.610358i | −0.952295 | − | 0.305179i | \(-0.901284\pi\) | ||
0.952295 | − | 0.305179i | \(-0.0987163\pi\) | |||||||
\(912\) | −0.520781 | − | 0.444595i | −0.0172448 | − | 0.0147220i | ||||
\(913\) | 1.81896 | − | 0.487388i | 0.0601987 | − | 0.0161302i | ||||
\(914\) | 6.16685 | − | 10.6813i | 0.203981 | − | 0.353306i | ||||
\(915\) | −32.5629 | − | 17.7694i | −1.07650 | − | 0.587439i | ||||
\(916\) | −18.0911 | −0.597746 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 18.7018 | − | 30.5628i | 0.617251 | − | 1.00872i | ||||
\(919\) | −10.2581 | + | 5.92250i | −0.338382 | + | 0.195365i | −0.659556 | − | 0.751655i | \(-0.729256\pi\) |
0.321174 | + | 0.947020i | \(0.395923\pi\) | |||||||
\(920\) | −6.61635 | + | 20.2029i | −0.218135 | + | 0.666069i | ||||
\(921\) | 33.7153 | − | 23.1825i | 1.11096 | − | 0.763891i | ||||
\(922\) | −3.65068 | − | 0.978197i | −0.120229 | − | 0.0322152i | ||||
\(923\) | 10.1908 | − | 10.1908i | 0.335433 | − | 0.335433i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 11.4250 | − | 29.3538i | 0.375650 | − | 0.965147i | ||||
\(926\) | 14.0451 | − | 8.10897i | 0.461552 | − | 0.266477i | ||||
\(927\) | −12.7984 | + | 17.6314i | −0.420354 | + | 0.579091i | ||||
\(928\) | −21.1410 | + | 5.66470i | −0.693986 | + | 0.185953i | ||||
\(929\) | 7.93709 | + | 13.7474i | 0.260407 | + | 0.451039i | 0.966350 | − | 0.257230i | \(-0.0828098\pi\) |
−0.705943 | + | 0.708269i | \(0.749476\pi\) | |||||||
\(930\) | 1.48445 | + | 0.359705i | 0.0486772 | + | 0.0117952i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 10.4531 | + | 10.4531i | 0.342401 | + | 0.342401i | ||||
\(933\) | −20.5652 | − | 17.5567i | −0.673273 | − | 0.574779i | ||||
\(934\) | 24.5358 | + | 14.1658i | 0.802836 | + | 0.463518i | ||||
\(935\) | 10.6547 | − | 5.39762i | 0.348445 | − | 0.176521i | ||||
\(936\) | −16.7339 | − | 6.41527i | −0.546963 | − | 0.209690i | ||||
\(937\) | 12.9594 | − | 12.9594i | 0.423365 | − | 0.423365i | −0.462996 | − | 0.886360i | \(-0.653226\pi\) |
0.886360 | + | 0.462996i | \(0.153226\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 12.2042 | − | 25.6009i | 0.398270 | − | 0.835453i | ||||
\(940\) | 0.960757 | − | 17.5505i | 0.0313364 | − | 0.572435i | ||||
\(941\) | −40.5338 | − | 23.4022i | −1.32136 | − | 0.762890i | −0.337418 | − | 0.941355i | \(-0.609554\pi\) |
−0.983946 | + | 0.178464i | \(0.942887\pi\) | |||||||
\(942\) | −6.90682 | − | 1.27857i | −0.225036 | − | 0.0416580i | ||||
\(943\) | 3.73448 | − | 13.9373i | 0.121612 | − | 0.453860i | ||||
\(944\) | 0.832560 | 0.0270975 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −4.98615 | −0.162114 | ||||||||
\(947\) | 1.48164 | − | 5.52955i | 0.0481468 | − | 0.179686i | −0.937665 | − | 0.347540i | \(-0.887017\pi\) |
0.985812 | + | 0.167854i | \(0.0536837\pi\) | |||||||
\(948\) | −12.7673 | − | 2.36345i | −0.414664 | − | 0.0767612i | ||||
\(949\) | −27.8799 | − | 16.0965i | −0.905020 | − | 0.522514i | ||||
\(950\) | 3.56118 | − | 0.547053i | 0.115540 | − | 0.0177487i | ||||
\(951\) | −17.9392 | + | 37.6311i | −0.581718 | + | 1.22027i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 2.51927 | − | 2.51927i | 0.0816072 | − | 0.0816072i | −0.665125 | − | 0.746732i | \(-0.731622\pi\) |
0.746732 | + | 0.665125i | \(0.231622\pi\) | |||||||
\(954\) | 14.3514 | + | 5.50191i | 0.464644 | + | 0.178131i | ||||
\(955\) | 3.25769 | − | 9.94730i | 0.105416 | − | 0.321887i | ||||
\(956\) | 0.0801276 | + | 0.0462617i | 0.00259151 | + | 0.00149621i | ||||
\(957\) | −3.90438 | − | 3.33320i | −0.126211 | − | 0.107747i | ||||
\(958\) | −8.61268 | − | 8.61268i | −0.278263 | − | 0.278263i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −12.2561 | − | 20.0953i | −0.395564 | − | 0.648574i | ||||
\(961\) | 15.4119 | + | 26.6941i | 0.497157 | + | 0.861101i | ||||
\(962\) | −11.6596 | + | 3.12419i | −0.375921 | + | 0.100728i | ||||
\(963\) | 32.2773 | − | 44.4661i | 1.04012 | − | 1.43290i | ||||
\(964\) | 14.0532 | − | 8.11364i | 0.452625 | − | 0.261323i | ||||
\(965\) | −8.78377 | + | 13.4571i | −0.282760 | + | 0.433201i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 37.0826 | − | 37.0826i | 1.19250 | − | 1.19250i | 0.216132 | − | 0.976364i | \(-0.430656\pi\) |
0.976364 | − | 0.216132i | \(-0.0693443\pi\) | |||||||
\(968\) | 29.6181 | + | 7.93615i | 0.951962 | + | 0.255077i | ||||
\(969\) | −8.03783 | + | 5.52679i | −0.258212 | + | 0.177546i | ||||
\(970\) | −15.8799 | − | 5.20060i | −0.509873 | − | 0.166981i | ||||
\(971\) | 28.9850 | − | 16.7345i | 0.930174 | − | 0.537036i | 0.0433076 | − | 0.999062i | \(-0.486210\pi\) |
0.886867 | + | 0.462025i | \(0.152877\pi\) | |||||||
\(972\) | 2.29276 | + | 17.2718i | 0.0735404 | + | 0.553992i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 27.4165 | 0.878480 | ||||||||
\(975\) | 15.5625 | − | 8.36049i | 0.498400 | − | 0.267750i | ||||
\(976\) | −2.46795 | + | 4.27461i | −0.0789971 | + | 0.136827i | ||||
\(977\) | −30.6528 | + | 8.21340i | −0.980671 | + | 0.262770i | −0.713327 | − | 0.700831i | \(-0.752813\pi\) |
−0.267344 | + | 0.963601i | \(0.586146\pi\) | |||||||
\(978\) | −11.8277 | − | 10.0974i | −0.378209 | − | 0.322881i | ||||
\(979\) | − | 10.1133i | − | 0.323223i | ||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −11.9394 | − | 14.7310i | −0.381197 | − | 0.470326i | ||||
\(982\) | −15.7102 | − | 4.20955i | −0.501334 | − | 0.134332i | ||||
\(983\) | −4.92194 | − | 18.3689i | −0.156985 | − | 0.585877i | −0.998927 | − | 0.0463090i | \(-0.985254\pi\) |
0.841942 | − | 0.539568i | \(-0.181413\pi\) | |||||||
\(984\) | 12.7729 | + | 18.5762i | 0.407187 | + | 0.592188i | ||||
\(985\) | −12.0525 | − | 0.659784i | −0.384026 | − | 0.0210225i | ||||
\(986\) | − | 28.0896i | − | 0.894556i | ||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 1.23681 | + | 1.23681i | 0.0393481 | + | 0.0393481i | ||||
\(989\) | −11.8425 | − | 20.5118i | −0.376570 | − | 0.652239i | ||||
\(990\) | 1.87270 | − | 4.18475i | 0.0595182 | − | 0.133000i | ||||
\(991\) | −26.0658 | + | 45.1472i | −0.828007 | + | 1.43415i | 0.0715929 | + | 0.997434i | \(0.477192\pi\) |
−0.899600 | + | 0.436716i | \(0.856142\pi\) | |||||||
\(992\) | −0.583860 | + | 2.17900i | −0.0185376 | + | 0.0691832i | ||||
\(993\) | −5.57754 | − | 15.7397i | −0.176998 | − | 0.499486i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −25.7280 | + | 5.40610i | −0.815634 | + | 0.171385i | ||||
\(996\) | −4.99487 | + | 0.394185i | −0.158268 | + | 0.0124902i | ||||
\(997\) | −4.38908 | − | 16.3803i | −0.139003 | − | 0.518768i | −0.999949 | − | 0.0100712i | \(-0.996794\pi\) |
0.860946 | − | 0.508697i | \(-0.169872\pi\) | |||||||
\(998\) | 4.09329 | + | 15.2764i | 0.129571 | + | 0.483565i | ||||
\(999\) | 22.5483 | + | 23.7302i | 0.713396 | + | 0.750792i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))