Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(16,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.q (of order \(15\), degree \(8\), 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: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 16.9 | ||
Character | \(\chi\) | \(=\) | 225.16 |
Dual form | 225.2.q.a.211.9 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.23977 | + | 0.551980i | −0.876648 | + | 0.390309i | −0.795185 | − | 0.606367i | \(-0.792626\pi\) |
−0.0814635 | + | 0.996676i | \(0.525959\pi\) | |||||||
\(3\) | 1.19364 | − | 1.25508i | 0.689148 | − | 0.724621i | ||||
\(4\) | −0.105919 | + | 0.117635i | −0.0529597 | + | 0.0588177i | ||||
\(5\) | −2.19872 | + | 0.406964i | −0.983299 | + | 0.182000i | ||||
\(6\) | −0.787056 | + | 2.21487i | −0.321314 | + | 0.904218i | ||||
\(7\) | −1.81169 | + | 3.13794i | −0.684755 | + | 1.18603i | 0.288759 | + | 0.957402i | \(0.406757\pi\) |
−0.973514 | + | 0.228629i | \(0.926576\pi\) | |||||||
\(8\) | 0.905114 | − | 2.78565i | 0.320006 | − | 0.984877i | ||||
\(9\) | −0.150451 | − | 2.99623i | −0.0501505 | − | 0.998742i | ||||
\(10\) | 2.50127 | − | 1.71819i | 0.790971 | − | 0.543340i | ||||
\(11\) | −5.29383 | + | 2.35697i | −1.59615 | + | 0.710652i | −0.996010 | − | 0.0892428i | \(-0.971555\pi\) |
−0.600140 | + | 0.799895i | \(0.704889\pi\) | |||||||
\(12\) | 0.0212123 | + | 0.273352i | 0.00612347 | + | 0.0789098i | ||||
\(13\) | −0.742899 | − | 0.330760i | −0.206043 | − | 0.0917363i | 0.301120 | − | 0.953586i | \(-0.402639\pi\) |
−0.507164 | + | 0.861850i | \(0.669306\pi\) | |||||||
\(14\) | 0.513995 | − | 4.89034i | 0.137371 | − | 1.30700i | ||||
\(15\) | −2.11371 | + | 3.24534i | −0.545757 | + | 0.837943i | ||||
\(16\) | 0.382402 | + | 3.63831i | 0.0956005 | + | 0.909578i | ||||
\(17\) | 0.527788 | − | 1.62436i | 0.128007 | − | 0.393966i | −0.866430 | − | 0.499299i | \(-0.833591\pi\) |
0.994437 | + | 0.105333i | \(0.0335908\pi\) | |||||||
\(18\) | 1.84038 | + | 3.63158i | 0.433782 | + | 0.855971i | ||||
\(19\) | −2.00045 | + | 6.15676i | −0.458935 | + | 1.41246i | 0.407517 | + | 0.913198i | \(0.366395\pi\) |
−0.866452 | + | 0.499260i | \(0.833605\pi\) | |||||||
\(20\) | 0.185014 | − | 0.301753i | 0.0413704 | − | 0.0674741i | ||||
\(21\) | 1.77586 | + | 6.01939i | 0.387525 | + | 1.31354i | ||||
\(22\) | 5.26212 | − | 5.84418i | 1.12189 | − | 1.24598i | ||||
\(23\) | −0.197808 | + | 1.88202i | −0.0412458 | + | 0.392428i | 0.954351 | + | 0.298688i | \(0.0965489\pi\) |
−0.995597 | + | 0.0937400i | \(0.970118\pi\) | |||||||
\(24\) | −2.41584 | − | 4.46105i | −0.493131 | − | 0.910609i | ||||
\(25\) | 4.66876 | − | 1.78960i | 0.933752 | − | 0.357920i | ||||
\(26\) | 1.10360 | 0.216433 | ||||||||
\(27\) | −3.94009 | − | 3.38758i | −0.758270 | − | 0.651941i | ||||
\(28\) | −0.177240 | − | 0.545488i | −0.0334952 | − | 0.103088i | ||||
\(29\) | −7.33067 | − | 1.55818i | −1.36127 | − | 0.289347i | −0.531315 | − | 0.847175i | \(-0.678302\pi\) |
−0.829957 | + | 0.557827i | \(0.811635\pi\) | |||||||
\(30\) | 0.829145 | − | 5.19019i | 0.151380 | − | 0.947595i | ||||
\(31\) | −1.47849 | + | 0.314262i | −0.265544 | + | 0.0564431i | −0.338759 | − | 0.940873i | \(-0.610007\pi\) |
0.0732155 | + | 0.997316i | \(0.476674\pi\) | |||||||
\(32\) | 0.446643 | + | 0.773608i | 0.0789560 | + | 0.136756i | ||||
\(33\) | −3.36074 | + | 9.45755i | −0.585030 | + | 1.64635i | ||||
\(34\) | 0.242282 | + | 2.30516i | 0.0415511 | + | 0.395332i | ||||
\(35\) | 2.70638 | − | 7.63676i | 0.457461 | − | 1.29085i | ||||
\(36\) | 0.368398 | + | 0.299660i | 0.0613997 | + | 0.0499433i | ||||
\(37\) | 2.11767 | − | 1.53858i | 0.348143 | − | 0.252940i | −0.399947 | − | 0.916538i | \(-0.630971\pi\) |
0.748089 | + | 0.663598i | \(0.230971\pi\) | |||||||
\(38\) | −0.918313 | − | 8.73716i | −0.148970 | − | 1.41736i | ||||
\(39\) | −1.30188 | + | 0.537590i | −0.208468 | + | 0.0860833i | ||||
\(40\) | −0.856434 | + | 6.49323i | −0.135414 | + | 1.02667i | ||||
\(41\) | −3.60811 | − | 1.60644i | −0.563493 | − | 0.250883i | 0.105163 | − | 0.994455i | \(-0.466463\pi\) |
−0.668656 | + | 0.743572i | \(0.733130\pi\) | |||||||
\(42\) | −5.52424 | − | 6.48240i | −0.852408 | − | 1.00026i | ||||
\(43\) | 4.09520 | − | 7.09310i | 0.624513 | − | 1.08169i | −0.364122 | − | 0.931351i | \(-0.618631\pi\) |
0.988635 | − | 0.150336i | \(-0.0480357\pi\) | |||||||
\(44\) | 0.283457 | − | 0.872391i | 0.0427327 | − | 0.131518i | ||||
\(45\) | 1.55016 | + | 6.52664i | 0.231084 | + | 0.972934i | ||||
\(46\) | −0.793600 | − | 2.44245i | −0.117010 | − | 0.360120i | ||||
\(47\) | 10.8737 | + | 2.31128i | 1.58609 | + | 0.337134i | 0.914752 | − | 0.404016i | \(-0.132386\pi\) |
0.671339 | + | 0.741150i | \(0.265719\pi\) | |||||||
\(48\) | 5.02282 | + | 3.86289i | 0.724982 | + | 0.557560i | ||||
\(49\) | −3.06445 | − | 5.30779i | −0.437779 | − | 0.758255i | ||||
\(50\) | −4.80035 | + | 4.79575i | −0.678873 | + | 0.678222i | ||||
\(51\) | −1.40872 | − | 2.60132i | −0.197260 | − | 0.364258i | ||||
\(52\) | 0.117597 | − | 0.0523574i | 0.0163077 | − | 0.00726066i | ||||
\(53\) | 2.97637 | + | 9.16031i | 0.408835 | + | 1.25827i | 0.917650 | + | 0.397390i | \(0.130084\pi\) |
−0.508815 | + | 0.860876i | \(0.669916\pi\) | |||||||
\(54\) | 6.75467 | + | 2.02497i | 0.919194 | + | 0.275563i | ||||
\(55\) | 10.6805 | − | 7.33671i | 1.44015 | − | 0.989282i | ||||
\(56\) | 7.10143 | + | 7.88694i | 0.948969 | + | 1.05394i | ||||
\(57\) | 5.33941 | + | 9.85968i | 0.707222 | + | 1.30595i | ||||
\(58\) | 9.94842 | − | 2.11460i | 1.30629 | − | 0.277661i | ||||
\(59\) | 2.50272 | + | 1.11428i | 0.325826 | + | 0.145067i | 0.563130 | − | 0.826368i | \(-0.309597\pi\) |
−0.237304 | + | 0.971435i | \(0.576264\pi\) | |||||||
\(60\) | −0.157884 | − | 0.592392i | −0.0203828 | − | 0.0764775i | ||||
\(61\) | 1.04900 | − | 0.467045i | 0.134311 | − | 0.0597990i | −0.338481 | − | 0.940973i | \(-0.609913\pi\) |
0.472792 | + | 0.881174i | \(0.343246\pi\) | |||||||
\(62\) | 1.65951 | − | 1.20571i | 0.210758 | − | 0.153125i | ||||
\(63\) | 9.67455 | + | 4.95613i | 1.21888 | + | 0.624413i | ||||
\(64\) | −6.90009 | − | 5.01321i | −0.862511 | − | 0.626651i | ||||
\(65\) | 1.76804 | + | 0.424917i | 0.219298 | + | 0.0527044i | ||||
\(66\) | −1.05384 | − | 13.5802i | −0.129718 | − | 1.67161i | ||||
\(67\) | −3.12703 | + | 0.664670i | −0.382027 | + | 0.0812024i | −0.394922 | − | 0.918714i | \(-0.629229\pi\) |
0.0128953 | + | 0.999917i | \(0.495895\pi\) | |||||||
\(68\) | 0.135180 | + | 0.234138i | 0.0163930 | + | 0.0283935i | ||||
\(69\) | 2.12597 | + | 2.49471i | 0.255937 | + | 0.300328i | ||||
\(70\) | 0.860057 | + | 10.9617i | 0.102797 | + | 1.31017i | ||||
\(71\) | 2.75915 | + | 8.49180i | 0.327451 | + | 1.00779i | 0.970322 | + | 0.241817i | \(0.0777432\pi\) |
−0.642871 | + | 0.765975i | \(0.722257\pi\) | |||||||
\(72\) | −8.48262 | − | 2.29282i | −0.999686 | − | 0.270211i | ||||
\(73\) | −6.96422 | − | 5.05980i | −0.815101 | − | 0.592205i | 0.100204 | − | 0.994967i | \(-0.468050\pi\) |
−0.915305 | + | 0.402762i | \(0.868050\pi\) | |||||||
\(74\) | −1.77615 | + | 3.07639i | −0.206474 | + | 0.357623i | ||||
\(75\) | 3.32672 | − | 7.99581i | 0.384137 | − | 0.923276i | ||||
\(76\) | −0.512367 | − | 0.887445i | −0.0587725 | − | 0.101797i | ||||
\(77\) | 2.19477 | − | 20.8818i | 0.250117 | − | 2.37971i | ||||
\(78\) | 1.31729 | − | 1.38510i | 0.149154 | − | 0.156832i | ||||
\(79\) | 3.47196 | + | 0.737989i | 0.390627 | + | 0.0830302i | 0.399038 | − | 0.916934i | \(-0.369344\pi\) |
−0.00841147 | + | 0.999965i | \(0.502677\pi\) | |||||||
\(80\) | −2.32146 | − | 7.84402i | −0.259547 | − | 0.876988i | ||||
\(81\) | −8.95473 | + | 0.901572i | −0.994970 | + | 0.100175i | ||||
\(82\) | 5.35994 | 0.591907 | ||||||||
\(83\) | −6.17496 | − | 6.85798i | −0.677790 | − | 0.752762i | 0.301887 | − | 0.953344i | \(-0.402383\pi\) |
−0.979677 | + | 0.200582i | \(0.935717\pi\) | |||||||
\(84\) | −0.896192 | − | 0.428666i | −0.0977825 | − | 0.0467713i | ||||
\(85\) | −0.499402 | + | 3.78632i | −0.0541677 | + | 0.410684i | ||||
\(86\) | −1.16185 | + | 11.0543i | −0.125286 | + | 1.19201i | ||||
\(87\) | −10.7058 | + | 7.34067i | −1.14778 | + | 0.787003i | ||||
\(88\) | 1.77417 | + | 16.8801i | 0.189127 | + | 1.79942i | ||||
\(89\) | −0.00564656 | − | 0.00410246i | −0.000598534 | − | 0.000434860i | 0.587486 | − | 0.809234i | \(-0.300118\pi\) |
−0.588084 | + | 0.808800i | \(0.700118\pi\) | |||||||
\(90\) | −5.52441 | − | 7.23586i | −0.582324 | − | 0.762727i | ||||
\(91\) | 2.38381 | − | 1.73194i | 0.249891 | − | 0.181557i | ||||
\(92\) | −0.200440 | − | 0.222612i | −0.0208973 | − | 0.0232089i | ||||
\(93\) | −1.37035 | + | 2.23073i | −0.142099 | + | 0.231316i | ||||
\(94\) | −14.7566 | + | 3.13662i | −1.52203 | + | 0.323518i | ||||
\(95\) | 1.89286 | − | 14.3511i | 0.194204 | − | 1.47239i | ||||
\(96\) | 1.50407 | + | 0.362836i | 0.153508 | + | 0.0370318i | ||||
\(97\) | 0.0365021 | + | 0.00775876i | 0.00370623 | + | 0.000787783i | 0.209764 | − | 0.977752i | \(-0.432730\pi\) |
−0.206058 | + | 0.978540i | \(0.566064\pi\) | |||||||
\(98\) | 6.72900 | + | 4.88891i | 0.679732 | + | 0.493854i | ||||
\(99\) | 7.85846 | + | 15.5069i | 0.789805 | + | 1.55850i | ||||
\(100\) | −0.283992 | + | 0.738765i | −0.0283992 | + | 0.0738765i | ||||
\(101\) | −5.04199 | + | 8.73298i | −0.501696 | + | 0.868964i | 0.498302 | + | 0.867004i | \(0.333957\pi\) |
−0.999998 | + | 0.00196000i | \(0.999376\pi\) | |||||||
\(102\) | 3.18236 | + | 2.44745i | 0.315101 | + | 0.242334i | ||||
\(103\) | −7.45712 | + | 8.28197i | −0.734772 | + | 0.816046i | −0.988499 | − | 0.151229i | \(-0.951677\pi\) |
0.253727 | + | 0.967276i | \(0.418343\pi\) | |||||||
\(104\) | −1.59379 | + | 1.77008i | −0.156284 | + | 0.173571i | ||||
\(105\) | −6.35430 | − | 12.5123i | −0.620116 | − | 1.22107i | ||||
\(106\) | −8.74631 | − | 9.71377i | −0.849517 | − | 0.943484i | ||||
\(107\) | 3.33860 | 0.322754 | 0.161377 | − | 0.986893i | \(-0.448406\pi\) | ||||
0.161377 | + | 0.986893i | \(0.448406\pi\) | |||||||
\(108\) | 0.815832 | − | 0.104683i | 0.0785034 | − | 0.0100731i | ||||
\(109\) | −7.34425 | + | 5.33591i | −0.703451 | + | 0.511087i | −0.881054 | − | 0.473015i | \(-0.843166\pi\) |
0.177603 | + | 0.984102i | \(0.443166\pi\) | |||||||
\(110\) | −9.19158 | + | 14.9912i | −0.876383 | + | 1.42936i | ||||
\(111\) | 0.596696 | − | 4.49435i | 0.0566359 | − | 0.426585i | ||||
\(112\) | −12.1096 | − | 5.39155i | −1.14425 | − | 0.509453i | ||||
\(113\) | −5.25363 | − | 2.33907i | −0.494220 | − | 0.220041i | 0.144464 | − | 0.989510i | \(-0.453854\pi\) |
−0.638684 | + | 0.769469i | \(0.720521\pi\) | |||||||
\(114\) | −12.0620 | − | 9.27647i | −1.12971 | − | 0.868821i | ||||
\(115\) | −0.330988 | − | 4.21854i | −0.0308648 | − | 0.393380i | ||||
\(116\) | 0.959758 | − | 0.697305i | 0.0891113 | − | 0.0647432i | ||||
\(117\) | −0.879262 | + | 2.27566i | −0.0812878 | + | 0.210385i | ||||
\(118\) | −3.71785 | −0.342255 | ||||||||
\(119\) | 4.14097 | + | 4.59902i | 0.379602 | + | 0.421591i | ||||
\(120\) | 7.12725 | + | 8.82546i | 0.650626 | + | 0.805651i | ||||
\(121\) | 15.1089 | − | 16.7802i | 1.37354 | − | 1.52547i | ||||
\(122\) | −1.04272 | + | 1.15805i | −0.0944031 | + | 0.104845i | ||||
\(123\) | −6.32299 | + | 2.61097i | −0.570125 | + | 0.235423i | ||||
\(124\) | 0.119632 | − | 0.207209i | 0.0107433 | − | 0.0186079i | ||||
\(125\) | −9.53701 | + | 5.83485i | −0.853016 | + | 0.521885i | ||||
\(126\) | −14.7299 | − | 0.804287i | −1.31224 | − | 0.0716516i | ||||
\(127\) | −7.75165 | − | 5.63190i | −0.687847 | − | 0.499750i | 0.188104 | − | 0.982149i | \(-0.439766\pi\) |
−0.875952 | + | 0.482399i | \(0.839766\pi\) | |||||||
\(128\) | 9.57417 | + | 2.03505i | 0.846245 | + | 0.179875i | ||||
\(129\) | −4.01421 | − | 13.6064i | −0.353432 | − | 1.19798i | ||||
\(130\) | −2.42650 | + | 0.449123i | −0.212818 | + | 0.0393907i | ||||
\(131\) | −4.63169 | + | 0.984497i | −0.404673 | + | 0.0860159i | −0.405751 | − | 0.913984i | \(-0.632990\pi\) |
0.00107841 | + | 0.999999i | \(0.499657\pi\) | |||||||
\(132\) | −0.756575 | − | 1.39708i | −0.0658514 | − | 0.121600i | ||||
\(133\) | −15.6954 | − | 17.4315i | −1.36096 | − | 1.51150i | ||||
\(134\) | 3.50990 | − | 2.55009i | 0.303209 | − | 0.220294i | ||||
\(135\) | 10.0418 | + | 5.84488i | 0.864259 | + | 0.503047i | ||||
\(136\) | −4.04721 | − | 2.94047i | −0.347045 | − | 0.252143i | ||||
\(137\) | 0.843300 | + | 8.02346i | 0.0720480 | + | 0.685491i | 0.969619 | + | 0.244620i | \(0.0786634\pi\) |
−0.897571 | + | 0.440870i | \(0.854670\pi\) | |||||||
\(138\) | −4.01274 | − | 1.91937i | −0.341587 | − | 0.163388i | ||||
\(139\) | −1.18925 | + | 11.3149i | −0.100871 | + | 0.959721i | 0.820660 | + | 0.571417i | \(0.193606\pi\) |
−0.921531 | + | 0.388305i | \(0.873061\pi\) | |||||||
\(140\) | 0.611695 | + | 1.12725i | 0.0516977 | + | 0.0952698i | ||||
\(141\) | 15.8801 | − | 10.8885i | 1.33735 | − | 0.916979i | ||||
\(142\) | −8.10801 | − | 9.00486i | −0.680409 | − | 0.755671i | ||||
\(143\) | 4.71237 | 0.394069 | ||||||||
\(144\) | 10.8437 | − | 1.69315i | 0.903640 | − | 0.141096i | ||||
\(145\) | 16.7522 | + | 0.442693i | 1.39120 | + | 0.0367636i | ||||
\(146\) | 11.4269 | + | 2.42887i | 0.945699 | + | 0.201015i | ||||
\(147\) | −10.3195 | − | 2.48945i | −0.851142 | − | 0.205326i | ||||
\(148\) | −0.0433112 | + | 0.412078i | −0.00356016 | + | 0.0338726i | ||||
\(149\) | 7.57401 | + | 13.1186i | 0.620487 | + | 1.07471i | 0.989395 | + | 0.145249i | \(0.0463983\pi\) |
−0.368908 | + | 0.929466i | \(0.620268\pi\) | |||||||
\(150\) | 0.289162 | + | 11.7492i | 0.0236099 | + | 0.959320i | ||||
\(151\) | 1.63784 | − | 2.83682i | 0.133285 | − | 0.230857i | −0.791656 | − | 0.610967i | \(-0.790781\pi\) |
0.924941 | + | 0.380110i | \(0.124114\pi\) | |||||||
\(152\) | 15.3400 | + | 11.1451i | 1.24424 | + | 0.903990i | ||||
\(153\) | −4.94637 | − | 1.33698i | −0.399890 | − | 0.108089i | ||||
\(154\) | 8.80535 | + | 27.1001i | 0.709555 | + | 2.18379i | ||||
\(155\) | 3.12289 | − | 1.29266i | 0.250836 | − | 0.103829i | ||||
\(156\) | 0.0746552 | − | 0.210089i | 0.00597720 | − | 0.0168206i | ||||
\(157\) | 3.26548 | + | 5.65597i | 0.260614 | + | 0.451396i | 0.966405 | − | 0.257024i | \(-0.0827418\pi\) |
−0.705792 | + | 0.708420i | \(0.749408\pi\) | |||||||
\(158\) | −4.71178 | + | 1.00152i | −0.374849 | + | 0.0796767i | ||||
\(159\) | 15.0496 | + | 7.19853i | 1.19351 | + | 0.570881i | ||||
\(160\) | −1.29687 | − | 1.51918i | −0.102527 | − | 0.120102i | ||||
\(161\) | −5.54729 | − | 4.03035i | −0.437188 | − | 0.317636i | ||||
\(162\) | 10.6041 | − | 6.06057i | 0.833139 | − | 0.476164i | ||||
\(163\) | −16.9298 | + | 12.3002i | −1.32605 | + | 0.963429i | −0.326211 | + | 0.945297i | \(0.605772\pi\) |
−0.999836 | + | 0.0181320i | \(0.994228\pi\) | |||||||
\(164\) | 0.571143 | − | 0.254289i | 0.0445988 | − | 0.0198567i | ||||
\(165\) | 3.54046 | − | 22.1622i | 0.275625 | − | 1.72533i | ||||
\(166\) | 11.4410 | + | 5.09385i | 0.887993 | + | 0.395360i | ||||
\(167\) | −1.61166 | + | 0.342569i | −0.124714 | + | 0.0265088i | −0.269846 | − | 0.962904i | \(-0.586973\pi\) |
0.145132 | + | 0.989412i | \(0.453639\pi\) | |||||||
\(168\) | 18.3753 | + | 0.501294i | 1.41768 | + | 0.0386757i | ||||
\(169\) | −8.25620 | − | 9.16944i | −0.635092 | − | 0.705342i | ||||
\(170\) | −1.47083 | − | 4.96981i | −0.112808 | − | 0.381167i | ||||
\(171\) | 18.7480 | + | 5.06751i | 1.43370 | + | 0.387523i | ||||
\(172\) | 0.400638 | + | 1.23304i | 0.0305484 | + | 0.0940183i | ||||
\(173\) | −17.6770 | + | 7.87029i | −1.34395 | + | 0.598367i | −0.947520 | − | 0.319696i | \(-0.896419\pi\) |
−0.396434 | + | 0.918063i | \(0.629753\pi\) | |||||||
\(174\) | 9.22083 | − | 15.0101i | 0.699029 | − | 1.13791i | ||||
\(175\) | −2.84269 | + | 17.8925i | −0.214887 | + | 1.35255i | ||||
\(176\) | −10.5998 | − | 18.3593i | −0.798987 | − | 1.38389i | ||||
\(177\) | 4.38585 | − | 1.81106i | 0.329661 | − | 0.136128i | ||||
\(178\) | 0.00926489 | + | 0.00196931i | 0.000694433 | + | 0.000147606i | ||||
\(179\) | −5.48463 | − | 16.8800i | −0.409941 | − | 1.26167i | −0.916698 | − | 0.399580i | \(-0.869156\pi\) |
0.506758 | − | 0.862089i | \(-0.330844\pi\) | |||||||
\(180\) | −0.931956 | − | 0.508945i | −0.0694639 | − | 0.0379345i | ||||
\(181\) | −1.01795 | + | 3.13292i | −0.0756633 | + | 0.232868i | −0.981734 | − | 0.190259i | \(-0.939067\pi\) |
0.906071 | + | 0.423126i | \(0.139067\pi\) | |||||||
\(182\) | −1.99937 | + | 3.46302i | −0.148204 | + | 0.256696i | ||||
\(183\) | 0.665949 | − | 1.87406i | 0.0492284 | − | 0.138535i | ||||
\(184\) | 5.06361 | + | 2.25446i | 0.373294 | + | 0.166201i | ||||
\(185\) | −4.03002 | + | 4.24472i | −0.296293 | + | 0.312078i | ||||
\(186\) | 0.467601 | − | 3.52200i | 0.0342862 | − | 0.258245i | ||||
\(187\) | 1.03455 | + | 9.84309i | 0.0756538 | + | 0.719798i | ||||
\(188\) | −1.42362 | + | 1.03432i | −0.103828 | + | 0.0754358i | ||||
\(189\) | 17.7683 | − | 6.22651i | 1.29245 | − | 0.452912i | ||||
\(190\) | 5.57482 | + | 18.8369i | 0.404440 | + | 1.36657i | ||||
\(191\) | 2.35882 | + | 22.4427i | 0.170678 | + | 1.62389i | 0.659635 | + | 0.751586i | \(0.270711\pi\) |
−0.488957 | + | 0.872308i | \(0.662622\pi\) | |||||||
\(192\) | −14.5282 | + | 2.67620i | −1.04848 | + | 0.193138i | ||||
\(193\) | −7.18794 | − | 12.4499i | −0.517399 | − | 0.896161i | −0.999796 | − | 0.0202084i | \(-0.993567\pi\) |
0.482397 | − | 0.875953i | \(-0.339766\pi\) | |||||||
\(194\) | −0.0495368 | + | 0.0105294i | −0.00355653 | + | 0.000755965i | ||||
\(195\) | 2.64370 | − | 1.71183i | 0.189319 | − | 0.122587i | ||||
\(196\) | 0.948969 | + | 0.201710i | 0.0677835 | + | 0.0144078i | ||||
\(197\) | 3.42186 | + | 10.5314i | 0.243798 | + | 0.750332i | 0.995832 | + | 0.0912078i | \(0.0290728\pi\) |
−0.752034 | + | 0.659124i | \(0.770927\pi\) | |||||||
\(198\) | −18.3022 | − | 14.8872i | −1.30068 | − | 1.05799i | ||||
\(199\) | 13.9667 | 0.990073 | 0.495037 | − | 0.868872i | \(-0.335155\pi\) | ||||
0.495037 | + | 0.868872i | \(0.335155\pi\) | |||||||
\(200\) | −0.759448 | − | 14.6253i | −0.0537011 | − | 1.03417i | ||||
\(201\) | −2.89833 | + | 4.71804i | −0.204432 | + | 0.332785i | ||||
\(202\) | 1.43046 | − | 13.6099i | 0.100647 | − | 0.957592i | ||||
\(203\) | 18.1704 | − | 20.1803i | 1.27531 | − | 1.41638i | ||||
\(204\) | 0.455218 | + | 0.109815i | 0.0318717 | + | 0.00768860i | ||||
\(205\) | 8.58700 | + | 2.06373i | 0.599742 | + | 0.144137i | ||||
\(206\) | 4.67361 | − | 14.3839i | 0.325626 | − | 1.00217i | ||||
\(207\) | 5.66871 | + | 0.309525i | 0.394003 | + | 0.0215135i | ||||
\(208\) | 0.919323 | − | 2.82938i | 0.0637436 | − | 0.196183i | ||||
\(209\) | −3.92121 | − | 37.3079i | −0.271236 | − | 2.58064i | ||||
\(210\) | 14.7844 | + | 12.0048i | 1.02022 | + | 0.828412i | ||||
\(211\) | −2.79668 | + | 26.6087i | −0.192532 | + | 1.83182i | 0.291273 | + | 0.956640i | \(0.405921\pi\) |
−0.483805 | + | 0.875176i | \(0.660746\pi\) | |||||||
\(212\) | −1.39283 | − | 0.620129i | −0.0956602 | − | 0.0425906i | ||||
\(213\) | 13.9513 | + | 6.67319i | 0.955929 | + | 0.457239i | ||||
\(214\) | −4.13908 | + | 1.84284i | −0.282942 | + | 0.125974i | ||||
\(215\) | −6.11758 | + | 17.2624i | −0.417216 | + | 1.17728i | ||||
\(216\) | −13.0029 | + | 7.90957i | −0.884732 | + | 0.538178i | ||||
\(217\) | 1.69242 | − | 5.20875i | 0.114889 | − | 0.353593i | ||||
\(218\) | 6.15985 | − | 10.6692i | 0.417197 | − | 0.722607i | ||||
\(219\) | −14.6632 | + | 2.70108i | −0.990849 | + | 0.182522i | ||||
\(220\) | −0.268212 | + | 2.03350i | −0.0180828 | + | 0.137099i | ||||
\(221\) | −0.929369 | + | 1.03217i | −0.0625161 | + | 0.0694312i | ||||
\(222\) | 1.74103 | + | 5.90131i | 0.116850 | + | 0.396070i | ||||
\(223\) | 22.3244 | − | 9.93945i | 1.49495 | − | 0.665595i | 0.513636 | − | 0.858008i | \(-0.328298\pi\) |
0.981314 | + | 0.192414i | \(0.0616315\pi\) | |||||||
\(224\) | −3.23671 | −0.216262 | ||||||||
\(225\) | −6.06447 | − | 13.7194i | −0.404298 | − | 0.914627i | ||||
\(226\) | 7.80440 | 0.519141 | ||||||||
\(227\) | −1.59524 | + | 0.710248i | −0.105880 | + | 0.0471408i | −0.458993 | − | 0.888440i | \(-0.651790\pi\) |
0.353113 | + | 0.935581i | \(0.385123\pi\) | |||||||
\(228\) | −1.72540 | − | 0.416228i | −0.114267 | − | 0.0275654i | ||||
\(229\) | 13.0970 | − | 14.5457i | 0.865474 | − | 0.961206i | −0.134083 | − | 0.990970i | \(-0.542809\pi\) |
0.999557 | + | 0.0297638i | \(0.00947551\pi\) | |||||||
\(230\) | 2.73890 | + | 5.04730i | 0.180597 | + | 0.332809i | ||||
\(231\) | −23.5886 | − | 27.6800i | −1.55202 | − | 1.82121i | ||||
\(232\) | −10.9756 | + | 19.0104i | −0.720587 | + | 1.24809i | ||||
\(233\) | 1.68425 | − | 5.18360i | 0.110339 | − | 0.339589i | −0.880607 | − | 0.473847i | \(-0.842865\pi\) |
0.990946 | + | 0.134258i | \(0.0428650\pi\) | |||||||
\(234\) | −0.166037 | − | 3.30662i | −0.0108542 | − | 0.216161i | ||||
\(235\) | −24.8488 | − | 0.656653i | −1.62096 | − | 0.0428353i | ||||
\(236\) | −0.396165 | + | 0.176384i | −0.0257882 | + | 0.0114816i | ||||
\(237\) | 5.07051 | − | 3.47670i | 0.329365 | − | 0.225836i | ||||
\(238\) | −7.67241 | − | 3.41598i | −0.497328 | − | 0.221425i | ||||
\(239\) | −0.382646 | + | 3.64063i | −0.0247513 | + | 0.235493i | 0.975151 | + | 0.221540i | \(0.0711083\pi\) |
−0.999903 | + | 0.0139533i | \(0.995558\pi\) | |||||||
\(240\) | −12.6159 | − | 6.44931i | −0.814350 | − | 0.416301i | ||||
\(241\) | −1.95702 | − | 18.6198i | −0.126063 | − | 1.19941i | −0.856397 | − | 0.516319i | \(-0.827302\pi\) |
0.730333 | − | 0.683091i | \(-0.239365\pi\) | |||||||
\(242\) | −9.46924 | + | 29.1433i | −0.608706 | + | 1.87340i | ||||
\(243\) | −9.55717 | + | 12.3151i | −0.613093 | + | 0.790011i | ||||
\(244\) | −0.0561685 | + | 0.172869i | −0.00359582 | + | 0.0110668i | ||||
\(245\) | 8.89796 | + | 10.4232i | 0.568470 | + | 0.665916i | ||||
\(246\) | 6.39784 | − | 6.72716i | 0.407911 | − | 0.428908i | ||||
\(247\) | 3.52255 | − | 3.91218i | 0.224134 | − | 0.248926i | ||||
\(248\) | −0.462773 | + | 4.40299i | −0.0293861 | + | 0.279590i | ||||
\(249\) | −15.9780 | − | 0.435894i | −1.01256 | − | 0.0276236i | ||||
\(250\) | 8.60295 | − | 12.4981i | 0.544098 | − | 0.790449i | ||||
\(251\) | −8.85291 | −0.558791 | −0.279395 | − | 0.960176i | \(-0.590134\pi\) | ||||
−0.279395 | + | 0.960176i | \(0.590134\pi\) | |||||||
\(252\) | −1.60774 | + | 0.613120i | −0.101278 | + | 0.0386229i | ||||
\(253\) | −3.38869 | − | 10.4293i | −0.213045 | − | 0.655685i | ||||
\(254\) | 12.7189 | + | 2.70349i | 0.798057 | + | 0.169632i | ||||
\(255\) | 4.15603 | + | 5.14629i | 0.260260 | + | 0.322273i | ||||
\(256\) | 3.69215 | − | 0.784790i | 0.230759 | − | 0.0490494i | ||||
\(257\) | 4.67379 | + | 8.09525i | 0.291543 | + | 0.504968i | 0.974175 | − | 0.225795i | \(-0.0724979\pi\) |
−0.682632 | + | 0.730763i | \(0.739165\pi\) | |||||||
\(258\) | 12.4872 | + | 14.6530i | 0.777417 | + | 0.912257i | ||||
\(259\) | 0.991401 | + | 9.43255i | 0.0616026 | + | 0.586110i | ||||
\(260\) | −0.237255 | + | 0.162977i | −0.0147139 | + | 0.0101074i | ||||
\(261\) | −3.56576 | + | 22.1988i | −0.220715 | + | 1.37407i | ||||
\(262\) | 5.19880 | − | 3.77715i | 0.321183 | − | 0.233353i | ||||
\(263\) | −1.12680 | − | 10.7208i | −0.0694817 | − | 0.661075i | −0.972727 | − | 0.231951i | \(-0.925489\pi\) |
0.903246 | − | 0.429124i | \(-0.141178\pi\) | |||||||
\(264\) | 23.3036 | + | 17.9220i | 1.43424 | + | 1.10302i | ||||
\(265\) | −10.2721 | − | 18.9297i | −0.631011 | − | 1.16284i | ||||
\(266\) | 29.0804 | + | 12.9474i | 1.78303 | + | 0.793858i | ||||
\(267\) | −0.0118889 | + | 0.00219002i | −0.000727587 | + | 0.000134027i | ||||
\(268\) | 0.253024 | − | 0.438251i | 0.0154559 | − | 0.0267704i | ||||
\(269\) | 0.431845 | − | 1.32908i | 0.0263301 | − | 0.0810356i | −0.937028 | − | 0.349254i | \(-0.886435\pi\) |
0.963358 | + | 0.268219i | \(0.0864350\pi\) | |||||||
\(270\) | −15.6757 | − | 1.70343i | −0.953995 | − | 0.103668i | ||||
\(271\) | 0.0702470 | + | 0.216198i | 0.00426720 | + | 0.0131331i | 0.953167 | − | 0.302443i | \(-0.0978022\pi\) |
−0.948900 | + | 0.315576i | \(0.897802\pi\) | |||||||
\(272\) | 6.11178 | + | 1.29910i | 0.370581 | + | 0.0787694i | ||||
\(273\) | 0.671687 | − | 5.05918i | 0.0406523 | − | 0.306196i | ||||
\(274\) | −5.47429 | − | 9.48174i | −0.330714 | − | 0.572813i | ||||
\(275\) | −20.4976 | + | 20.4780i | −1.23605 | + | 1.23487i | ||||
\(276\) | −0.518649 | − | 0.0141492i | −0.0312190 | − | 0.000851682i | ||||
\(277\) | 9.08110 | − | 4.04317i | 0.545630 | − | 0.242930i | −0.115361 | − | 0.993324i | \(-0.536803\pi\) |
0.660992 | + | 0.750393i | \(0.270136\pi\) | |||||||
\(278\) | −4.77123 | − | 14.6844i | −0.286160 | − | 0.880709i | ||||
\(279\) | 1.16404 | + | 4.38259i | 0.0696892 | + | 0.262379i | ||||
\(280\) | −18.8238 | − | 14.4512i | −1.12494 | − | 0.863622i | ||||
\(281\) | −1.01002 | − | 1.12174i | −0.0602529 | − | 0.0669176i | 0.712265 | − | 0.701911i | \(-0.247670\pi\) |
−0.772518 | + | 0.634993i | \(0.781003\pi\) | |||||||
\(282\) | −13.6774 | + | 22.2647i | −0.814477 | + | 1.32585i | ||||
\(283\) | 1.19385 | − | 0.253761i | 0.0709671 | − | 0.0150845i | −0.172291 | − | 0.985046i | \(-0.555117\pi\) |
0.243258 | + | 0.969962i | \(0.421784\pi\) | |||||||
\(284\) | −1.29118 | − | 0.574873i | −0.0766177 | − | 0.0341124i | ||||
\(285\) | −15.7524 | − | 19.5058i | −0.933092 | − | 1.15542i | ||||
\(286\) | −5.84225 | + | 2.60114i | −0.345459 | + | 0.153808i | ||||
\(287\) | 11.5777 | − | 8.41168i | 0.683409 | − | 0.496526i | ||||
\(288\) | 2.25070 | − | 1.45463i | 0.132624 | − | 0.0857150i | ||||
\(289\) | 11.3933 | + | 8.27771i | 0.670193 | + | 0.486924i | ||||
\(290\) | −21.0132 | + | 8.69807i | −1.23394 | + | 0.510768i | ||||
\(291\) | 0.0533082 | − | 0.0365519i | 0.00312498 | − | 0.00214271i | ||||
\(292\) | 1.33286 | − | 0.283308i | 0.0779997 | − | 0.0165793i | ||||
\(293\) | −9.32859 | − | 16.1576i | −0.544982 | − | 0.943937i | −0.998608 | − | 0.0527445i | \(-0.983203\pi\) |
0.453626 | − | 0.891192i | \(-0.350130\pi\) | |||||||
\(294\) | 14.1680 | − | 2.60985i | 0.826293 | − | 0.152209i | ||||
\(295\) | −5.95625 | − | 1.43148i | −0.346786 | − | 0.0833440i | ||||
\(296\) | −2.36921 | − | 7.29168i | −0.137708 | − | 0.423820i | ||||
\(297\) | 28.8426 | + | 8.64664i | 1.67362 | + | 0.501729i | ||||
\(298\) | −16.6312 | − | 12.0833i | −0.963419 | − | 0.699965i | ||||
\(299\) | 0.769448 | − | 1.33272i | 0.0444983 | − | 0.0770733i | ||||
\(300\) | 0.588226 | + | 1.23825i | 0.0339612 | + | 0.0714905i | ||||
\(301\) | 14.8385 | + | 25.7010i | 0.855276 | + | 1.48138i | ||||
\(302\) | −0.464671 | + | 4.42105i | −0.0267388 | + | 0.254403i | ||||
\(303\) | 4.94227 | + | 16.7521i | 0.283926 | + | 0.962384i | ||||
\(304\) | −23.1652 | − | 4.92392i | −1.32862 | − | 0.282406i | ||||
\(305\) | −2.11639 | + | 1.45381i | −0.121184 | + | 0.0832448i | ||||
\(306\) | 6.87034 | − | 1.07275i | 0.392751 | − | 0.0613249i | ||||
\(307\) | 16.1713 | 0.922948 | 0.461474 | − | 0.887154i | \(-0.347321\pi\) | ||||
0.461474 | + | 0.887154i | \(0.347321\pi\) | |||||||
\(308\) | 2.22398 | + | 2.46997i | 0.126723 | + | 0.140740i | ||||
\(309\) | 1.49342 | + | 19.2450i | 0.0849580 | + | 1.09481i | ||||
\(310\) | −3.15813 | + | 3.32637i | −0.179370 | + | 0.188925i | ||||
\(311\) | 2.17268 | − | 20.6717i | 0.123202 | − | 1.17218i | −0.741873 | − | 0.670541i | \(-0.766062\pi\) |
0.865074 | − | 0.501644i | \(-0.167271\pi\) | |||||||
\(312\) | 0.319186 | + | 4.11318i | 0.0180704 | + | 0.232863i | ||||
\(313\) | 1.30223 | + | 12.3899i | 0.0736064 | + | 0.700318i | 0.967643 | + | 0.252324i | \(0.0811949\pi\) |
−0.894036 | + | 0.447994i | \(0.852138\pi\) | |||||||
\(314\) | −7.17042 | − | 5.20962i | −0.404650 | − | 0.293996i | ||||
\(315\) | −23.2886 | − | 6.95996i | −1.31216 | − | 0.392149i | ||||
\(316\) | −0.454562 | + | 0.330259i | −0.0255711 | + | 0.0185785i | ||||
\(317\) | −15.4630 | − | 17.1734i | −0.868488 | − | 0.964554i | 0.131152 | − | 0.991362i | \(-0.458132\pi\) |
−0.999641 | + | 0.0268081i | \(0.991466\pi\) | |||||||
\(318\) | −22.6315 | − | 0.617407i | −1.26911 | − | 0.0346225i | ||||
\(319\) | 42.4799 | − | 9.02939i | 2.37842 | − | 0.505549i | ||||
\(320\) | 17.2116 | + | 8.21457i | 0.962157 | + | 0.459208i | ||||
\(321\) | 3.98508 | − | 4.19020i | 0.222425 | − | 0.233874i | ||||
\(322\) | 9.10203 | + | 1.93470i | 0.507236 | + | 0.107816i | ||||
\(323\) | 8.94501 | + | 6.49893i | 0.497714 | + | 0.361610i | ||||
\(324\) | 0.842423 | − | 1.14889i | 0.0468013 | − | 0.0638271i | ||||
\(325\) | −4.06035 | − | 0.214747i | −0.225228 | − | 0.0119120i | ||||
\(326\) | 14.1996 | − | 24.5944i | 0.786441 | − | 1.36216i | ||||
\(327\) | −2.06939 | + | 15.5868i | −0.114438 | + | 0.861950i | ||||
\(328\) | −7.74073 | + | 8.59695i | −0.427410 | + | 0.474687i | ||||
\(329\) | −26.9524 | + | 29.9337i | −1.48594 | + | 1.65030i | ||||
\(330\) | 7.84376 | + | 29.4303i | 0.431785 | + | 1.62008i | ||||
\(331\) | 5.37570 | + | 5.97032i | 0.295475 | + | 0.328159i | 0.872543 | − | 0.488538i | \(-0.162470\pi\) |
−0.577067 | + | 0.816697i | \(0.695803\pi\) | |||||||
\(332\) | 1.46079 | 0.0801713 | ||||||||
\(333\) | −4.92853 | − | 6.11353i | −0.270082 | − | 0.335019i | ||||
\(334\) | 1.80899 | − | 1.31431i | 0.0989836 | − | 0.0719158i | ||||
\(335\) | 6.60497 | − | 2.73401i | 0.360868 | − | 0.149375i | ||||
\(336\) | −21.2213 | + | 8.76297i | −1.15772 | + | 0.478059i | ||||
\(337\) | 17.2811 | + | 7.69405i | 0.941363 | + | 0.419122i | 0.819277 | − | 0.573398i | \(-0.194375\pi\) |
0.122086 | + | 0.992520i | \(0.461042\pi\) | |||||||
\(338\) | 15.2971 | + | 6.81072i | 0.832054 | + | 0.370454i | ||||
\(339\) | −9.20665 | + | 3.80172i | −0.500037 | + | 0.206481i | ||||
\(340\) | −0.392509 | − | 0.459792i | −0.0212868 | − | 0.0249357i | ||||
\(341\) | 7.08615 | − | 5.14839i | 0.383736 | − | 0.278801i | ||||
\(342\) | −26.0403 | + | 4.06599i | −1.40810 | + | 0.219864i | ||||
\(343\) | −3.15631 | −0.170425 | ||||||||
\(344\) | −16.0523 | − | 17.8279i | −0.865482 | − | 0.961215i | ||||
\(345\) | −5.68968 | − | 4.61999i | −0.306322 | − | 0.248732i | ||||
\(346\) | 17.5711 | − | 19.5147i | 0.944627 | − | 1.04911i | ||||
\(347\) | 7.90347 | − | 8.77770i | 0.424281 | − | 0.471211i | −0.492668 | − | 0.870218i | \(-0.663978\pi\) |
0.916948 | + | 0.399006i | \(0.130645\pi\) | |||||||
\(348\) | 0.270431 | − | 2.03690i | 0.0144966 | − | 0.109190i | ||||
\(349\) | −4.49549 | + | 7.78642i | −0.240638 | + | 0.416797i | −0.960896 | − | 0.276909i | \(-0.910690\pi\) |
0.720258 | + | 0.693706i | \(0.244023\pi\) | |||||||
\(350\) | −6.35203 | − | 23.7517i | −0.339530 | − | 1.26958i | ||||
\(351\) | 1.80661 | + | 3.81986i | 0.0964297 | + | 0.203889i | ||||
\(352\) | −4.18782 | − | 3.04263i | −0.223211 | − | 0.162173i | ||||
\(353\) | 26.8537 | + | 5.70792i | 1.42928 | + | 0.303802i | 0.856601 | − | 0.515980i | \(-0.172572\pi\) |
0.572676 | + | 0.819782i | \(0.305905\pi\) | |||||||
\(354\) | −4.43777 | + | 4.66619i | −0.235865 | + | 0.248005i | ||||
\(355\) | −9.52247 | − | 17.5482i | −0.505400 | − | 0.931364i | ||||
\(356\) | 0.00108068 | 0.000229705i | 5.72757e−5 | 1.21743e-5i | ||||||
\(357\) | 10.7150 | + | 0.292314i | 0.567096 | + | 0.0154709i | ||||
\(358\) | 16.1171 | + | 17.8998i | 0.851814 | + | 0.946036i | ||||
\(359\) | −23.8073 | + | 17.2970i | −1.25650 | + | 0.912901i | −0.998580 | − | 0.0532656i | \(-0.983037\pi\) |
−0.257920 | + | 0.966166i | \(0.583037\pi\) | |||||||
\(360\) | 19.5840 | + | 1.58915i | 1.03217 | + | 0.0837557i | ||||
\(361\) | −18.5326 | − | 13.4647i | −0.975399 | − | 0.708669i | ||||
\(362\) | −0.467291 | − | 4.44597i | −0.0245603 | − | 0.233675i | ||||
\(363\) | −3.02584 | − | 38.9924i | −0.158815 | − | 2.04657i | ||||
\(364\) | −0.0487544 | + | 0.463867i | −0.00255542 | + | 0.0243132i | ||||
\(365\) | 17.3715 | + | 8.29092i | 0.909268 | + | 0.433966i | ||||
\(366\) | 0.208823 | + | 2.69099i | 0.0109154 | + | 0.140660i | ||||
\(367\) | 5.56358 | + | 6.17898i | 0.290416 | + | 0.322540i | 0.870643 | − | 0.491915i | \(-0.163703\pi\) |
−0.580227 | + | 0.814455i | \(0.697036\pi\) | |||||||
\(368\) | −6.92301 | −0.360887 | ||||||||
\(369\) | −4.27040 | + | 11.0524i | −0.222308 | + | 0.575366i | ||||
\(370\) | 2.65329 | − | 7.48695i | 0.137938 | − | 0.389228i | ||||
\(371\) | −34.1368 | − | 7.25600i | −1.77229 | − | 0.376713i | ||||
\(372\) | −0.117266 | − | 0.397480i | −0.00607996 | − | 0.0206084i | ||||
\(373\) | −0.387360 | + | 3.68548i | −0.0200567 | + | 0.190827i | −0.999963 | − | 0.00863278i | \(-0.997252\pi\) |
0.979906 | + | 0.199460i | \(0.0639187\pi\) | |||||||
\(374\) | −6.71579 | − | 11.6321i | −0.347265 | − | 0.601481i | ||||
\(375\) | −4.06054 | + | 18.9344i | −0.209685 | + | 0.977769i | ||||
\(376\) | 16.2803 | − | 28.1984i | 0.839595 | − | 1.45422i | ||||
\(377\) | 4.93057 | + | 3.58227i | 0.253937 | + | 0.184496i | ||||
\(378\) | −18.5916 | + | 17.5271i | −0.956249 | + | 0.901499i | ||||
\(379\) | −1.43560 | − | 4.41832i | −0.0737419 | − | 0.226954i | 0.907391 | − | 0.420286i | \(-0.138070\pi\) |
−0.981133 | + | 0.193332i | \(0.938070\pi\) | |||||||
\(380\) | 1.48771 | + | 1.74273i | 0.0763179 | + | 0.0894002i | ||||
\(381\) | −16.3212 | + | 3.00648i | −0.836158 | + | 0.154027i | ||||
\(382\) | −15.3123 | − | 26.5217i | −0.783445 | − | 1.35697i | ||||
\(383\) | 18.6644 | − | 3.96724i | 0.953707 | − | 0.202717i | 0.295322 | − | 0.955398i | \(-0.404573\pi\) |
0.658385 | + | 0.752681i | \(0.271240\pi\) | |||||||
\(384\) | 13.9823 | − | 9.58723i | 0.713529 | − | 0.489246i | ||||
\(385\) | 3.67246 | + | 46.8065i | 0.187166 | + | 2.38548i | ||||
\(386\) | 15.7834 | + | 11.4673i | 0.803356 | + | 0.583673i | ||||
\(387\) | −21.8687 | − | 11.2030i | −1.11165 | − | 0.569480i | ||||
\(388\) | −0.00477899 | + | 0.00347214i | −0.000242616 | + | 0.000176271i | ||||
\(389\) | 3.47141 | − | 1.54557i | 0.176007 | − | 0.0783635i | −0.316841 | − | 0.948479i | \(-0.602622\pi\) |
0.492849 | + | 0.870115i | \(0.335956\pi\) | |||||||
\(390\) | −2.33268 | + | 3.58154i | −0.118120 | + | 0.181359i | ||||
\(391\) | 2.95268 | + | 1.31462i | 0.149324 | + | 0.0664831i | ||||
\(392\) | −17.5593 | + | 3.73235i | −0.886880 | + | 0.188512i | ||||
\(393\) | −4.29295 | + | 6.98828i | −0.216551 | + | 0.352512i | ||||
\(394\) | −10.0554 | − | 11.1677i | −0.506586 | − | 0.562621i | ||||
\(395\) | −7.93422 | − | 0.209669i | −0.399214 | − | 0.0105496i | ||||
\(396\) | −2.65653 | − | 0.718049i | −0.133495 | − | 0.0360833i | ||||
\(397\) | −6.50617 | − | 20.0239i | −0.326535 | − | 1.00497i | −0.970743 | − | 0.240122i | \(-0.922813\pi\) |
0.644207 | − | 0.764851i | \(-0.277187\pi\) | |||||||
\(398\) | −17.3155 | + | 7.70934i | −0.867946 | + | 0.386434i | ||||
\(399\) | −40.6125 | − | 1.10794i | −2.03317 | − | 0.0554666i | ||||
\(400\) | 8.29647 | + | 16.3021i | 0.414824 | + | 0.815104i | ||||
\(401\) | −11.2925 | − | 19.5592i | −0.563922 | − | 0.976741i | −0.997149 | − | 0.0754562i | \(-0.975959\pi\) |
0.433228 | − | 0.901285i | \(-0.357375\pi\) | |||||||
\(402\) | 0.988985 | − | 7.44910i | 0.0493261 | − | 0.371527i | ||||
\(403\) | 1.20231 | + | 0.255559i | 0.0598914 | + | 0.0127303i | ||||
\(404\) | −0.493263 | − | 1.51811i | −0.0245408 | − | 0.0755287i | ||||
\(405\) | 19.3221 | − | 5.62656i | 0.960121 | − | 0.279586i | ||||
\(406\) | −11.3880 | + | 35.0486i | −0.565175 | + | 1.73943i | ||||
\(407\) | −7.58421 | + | 13.1362i | −0.375935 | + | 0.651139i | ||||
\(408\) | −8.52143 | + | 1.56971i | −0.421874 | + | 0.0777123i | ||||
\(409\) | −22.5846 | − | 10.0553i | −1.11674 | − | 0.497203i | −0.236449 | − | 0.971644i | \(-0.575984\pi\) |
−0.880287 | + | 0.474441i | \(0.842650\pi\) | |||||||
\(410\) | −11.7850 | + | 2.18130i | −0.582021 | + | 0.107727i | ||||
\(411\) | 11.0767 | + | 8.51871i | 0.546372 | + | 0.420197i | ||||
\(412\) | −0.184399 | − | 1.75444i | −0.00908471 | − | 0.0864352i | ||||
\(413\) | −8.03070 | + | 5.83464i | −0.395165 | + | 0.287104i | ||||
\(414\) | −7.19873 | + | 2.74528i | −0.353798 | + | 0.134923i | ||||
\(415\) | 16.3680 | + | 12.5658i | 0.803472 | + | 0.616832i | ||||
\(416\) | −0.0759320 | − | 0.722444i | −0.00372287 | − | 0.0354207i | ||||
\(417\) | 12.7816 | + | 14.9986i | 0.625919 | + | 0.734483i | ||||
\(418\) | 25.4546 | + | 44.0886i | 1.24502 | + | 2.15645i | ||||
\(419\) | 38.1667 | − | 8.11259i | 1.86457 | − | 0.396326i | 0.869364 | − | 0.494172i | \(-0.164529\pi\) |
0.995202 | + | 0.0978459i | \(0.0311952\pi\) | |||||||
\(420\) | 2.14493 | + | 0.577800i | 0.104662 | + | 0.0281937i | ||||
\(421\) | −22.2800 | − | 4.73576i | −1.08586 | − | 0.230807i | −0.369988 | − | 0.929037i | \(-0.620638\pi\) |
−0.715874 | + | 0.698230i | \(0.753971\pi\) | |||||||
\(422\) | −11.2202 | − | 34.5323i | −0.546191 | − | 1.68100i | ||||
\(423\) | 5.28914 | − | 32.9278i | 0.257167 | − | 1.60100i | ||||
\(424\) | 28.2114 | 1.37007 | ||||||||
\(425\) | −0.442848 | − | 8.52830i | −0.0214813 | − | 0.413683i | ||||
\(426\) | −20.9799 | − | 0.572349i | −1.01648 | − | 0.0277304i | ||||
\(427\) | −0.434905 | + | 4.13784i | −0.0210465 | + | 0.200244i | ||||
\(428\) | −0.353622 | + | 0.392737i | −0.0170930 | + | 0.0189837i | ||||
\(429\) | 5.62487 | − | 5.91441i | 0.271572 | − | 0.285550i | ||||
\(430\) | −1.94410 | − | 24.7781i | −0.0937528 | − | 1.19491i | ||||
\(431\) | −9.46750 | + | 29.1380i | −0.456033 | + | 1.40353i | 0.413885 | + | 0.910329i | \(0.364172\pi\) |
−0.869918 | + | 0.493197i | \(0.835828\pi\) | |||||||
\(432\) | 10.8184 | − | 15.6307i | 0.520500 | − | 0.752032i | ||||
\(433\) | −3.87801 | + | 11.9353i | −0.186365 | + | 0.573573i | −0.999969 | − | 0.00784636i | \(-0.997502\pi\) |
0.813604 | + | 0.581419i | \(0.197502\pi\) | |||||||
\(434\) | 0.776912 | + | 7.39182i | 0.0372930 | + | 0.354819i | ||||
\(435\) | 20.5517 | − | 20.4970i | 0.985381 | − | 0.982755i | ||||
\(436\) | 0.150207 | − | 1.42912i | 0.00719359 | − | 0.0684425i | ||||
\(437\) | −11.1914 | − | 4.98275i | −0.535359 | − | 0.238357i | ||||
\(438\) | 16.6881 | − | 11.4425i | 0.797386 | − | 0.546745i | ||||
\(439\) | 8.61888 | − | 3.83737i | 0.411357 | − | 0.183148i | −0.190616 | − | 0.981665i | \(-0.561048\pi\) |
0.601972 | + | 0.798517i | \(0.294382\pi\) | |||||||
\(440\) | −10.7705 | − | 36.3926i | −0.513463 | − | 1.73495i | ||||
\(441\) | −15.4423 | + | 9.98035i | −0.735346 | + | 0.475255i | ||||
\(442\) | 0.582465 | − | 1.79264i | 0.0277050 | − | 0.0852673i | ||||
\(443\) | 1.34165 | − | 2.32381i | 0.0637439 | − | 0.110408i | −0.832392 | − | 0.554187i | \(-0.813029\pi\) |
0.896136 | + | 0.443779i | \(0.146363\pi\) | |||||||
\(444\) | 0.465493 | + | 0.546232i | 0.0220913 | + | 0.0259230i | ||||
\(445\) | 0.0140848 | + | 0.00672223i | 0.000667682 | + | 0.000318664i | ||||
\(446\) | −22.1906 | + | 24.6452i | −1.05076 | + | 1.16698i | ||||
\(447\) | 25.5055 | + | 6.15285i | 1.20637 | + | 0.291020i | ||||
\(448\) | 28.2320 | − | 12.5697i | 1.33384 | − | 0.593862i | ||||
\(449\) | 16.6360 | 0.785100 | 0.392550 | − | 0.919731i | \(-0.371593\pi\) | ||||
0.392550 | + | 0.919731i | \(0.371593\pi\) | |||||||
\(450\) | 15.0914 | + | 13.6614i | 0.711414 | + | 0.644005i | ||||
\(451\) | 22.8871 | 1.07771 | ||||||||
\(452\) | 0.831619 | − | 0.370261i | 0.0391161 | − | 0.0174156i | ||||
\(453\) | −1.60544 | − | 5.44175i | −0.0754304 | − | 0.255676i | ||||
\(454\) | 1.58569 | − | 1.76109i | 0.0744201 | − | 0.0826518i | ||||
\(455\) | −4.53650 | + | 4.77818i | −0.212674 | + | 0.224004i | ||||
\(456\) | 32.2984 | − | 5.94961i | 1.51251 | − | 0.278616i | ||||
\(457\) | −6.85895 | + | 11.8801i | −0.320848 | + | 0.555725i | −0.980663 | − | 0.195703i | \(-0.937301\pi\) |
0.659815 | + | 0.751428i | \(0.270635\pi\) | |||||||
\(458\) | −8.20830 | + | 25.2626i | −0.383549 | + | 1.18044i | ||||
\(459\) | −7.58220 | + | 4.61221i | −0.353907 | + | 0.215280i | ||||
\(460\) | 0.531307 | + | 0.407889i | 0.0247723 | + | 0.0190179i | ||||
\(461\) | 4.82680 | − | 2.14903i | 0.224806 | − | 0.100090i | −0.291243 | − | 0.956649i | \(-0.594069\pi\) |
0.516049 | + | 0.856559i | \(0.327402\pi\) | |||||||
\(462\) | 44.5232 | + | 21.2963i | 2.07141 | + | 0.990794i | ||||
\(463\) | −28.6434 | − | 12.7529i | −1.33117 | − | 0.592677i | −0.386986 | − | 0.922085i | \(-0.626484\pi\) |
−0.944187 | + | 0.329409i | \(0.893151\pi\) | |||||||
\(464\) | 2.86589 | − | 27.2671i | 0.133046 | − | 1.26585i | ||||
\(465\) | 2.10520 | − | 5.46245i | 0.0976264 | − | 0.253315i | ||||
\(466\) | 0.773161 | + | 7.35614i | 0.0358160 | + | 0.340767i | ||||
\(467\) | 6.16817 | − | 18.9837i | 0.285429 | − | 0.878459i | −0.700841 | − | 0.713317i | \(-0.747192\pi\) |
0.986270 | − | 0.165142i | \(-0.0528082\pi\) | |||||||
\(468\) | −0.174567 | − | 0.344469i | −0.00806937 | − | 0.0159231i | ||||
\(469\) | 3.57951 | − | 11.0166i | 0.165286 | − | 0.508699i | ||||
\(470\) | 31.1692 | − | 12.9020i | 1.43773 | − | 0.595124i | ||||
\(471\) | 10.9965 | + | 2.65276i | 0.506692 | + | 0.122233i | ||||
\(472\) | 5.36924 | − | 5.96315i | 0.247139 | − | 0.274476i | ||||
\(473\) | −4.96112 | + | 47.2019i | −0.228113 | + | 2.17035i | ||||
\(474\) | −4.36718 | + | 7.10912i | −0.200591 | + | 0.326533i | ||||
\(475\) | 1.67851 | + | 32.3245i | 0.0770152 | + | 1.48315i | ||||
\(476\) | −0.979617 | −0.0449007 | ||||||||
\(477\) | 26.9986 | − | 10.2960i | 1.23618 | − | 0.471424i | ||||
\(478\) | −1.53517 | − | 4.72475i | −0.0702168 | − | 0.216105i | ||||
\(479\) | 6.25719 | + | 1.33001i | 0.285898 | + | 0.0607696i | 0.348629 | − | 0.937261i | \(-0.386647\pi\) |
−0.0627302 | + | 0.998031i | \(0.519981\pi\) | |||||||
\(480\) | −3.45469 | − | 0.185674i | −0.157684 | − | 0.00847483i | ||||
\(481\) | −2.08211 | + | 0.442567i | −0.0949363 | + | 0.0201793i | ||||
\(482\) | 12.7040 | + | 22.0040i | 0.578653 | + | 1.00226i | ||||
\(483\) | −11.6799 | + | 2.15152i | −0.531453 | + | 0.0978976i | ||||
\(484\) | 0.373613 | + | 3.55469i | 0.0169824 | + | 0.161577i | ||||
\(485\) | −0.0834155 | − | 0.00220433i | −0.00378770 | − | 0.000100093i | ||||
\(486\) | 5.05101 | − | 20.5432i | 0.229118 | − | 0.931857i | ||||
\(487\) | 0.699919 | − | 0.508521i | 0.0317164 | − | 0.0230433i | −0.571814 | − | 0.820383i | \(-0.693760\pi\) |
0.603530 | + | 0.797340i | \(0.293760\pi\) | |||||||
\(488\) | −0.351561 | − | 3.34488i | −0.0159144 | − | 0.151416i | ||||
\(489\) | −4.77032 | + | 35.9303i | −0.215721 | + | 1.62483i | ||||
\(490\) | −16.7848 | − | 8.01089i | −0.758261 | − | 0.361895i | ||||
\(491\) | −3.54920 | − | 1.58021i | −0.160173 | − | 0.0713137i | 0.325084 | − | 0.945685i | \(-0.394607\pi\) |
−0.485257 | + | 0.874371i | \(0.661274\pi\) | |||||||
\(492\) | 0.362585 | − | 1.02036i | 0.0163466 | − | 0.0460014i | ||||
\(493\) | −6.40010 | + | 11.0853i | −0.288246 | + | 0.499257i | ||||
\(494\) | −2.20769 | + | 6.79458i | −0.0993287 | + | 0.305702i | ||||
\(495\) | −23.5893 | − | 30.8973i | −1.06026 | − | 1.38873i | ||||
\(496\) | −1.70876 | − | 5.25902i | −0.0767256 | − | 0.236137i | ||||
\(497\) | −31.6455 | − | 6.72646i | −1.41950 | − | 0.301723i | ||||
\(498\) | 20.0496 | − | 8.27913i | 0.898444 | − | 0.370996i | ||||
\(499\) | −3.51395 | − | 6.08634i | −0.157306 | − | 0.272462i | 0.776590 | − | 0.630006i | \(-0.216948\pi\) |
−0.933896 | + | 0.357544i | \(0.883614\pi\) | |||||||
\(500\) | 0.323769 | − | 1.73991i | 0.0144794 | − | 0.0778113i | ||||
\(501\) | −1.49379 | + | 2.43166i | −0.0667375 | + | 0.108639i | ||||
\(502\) | 10.9756 | − | 4.88663i | 0.489863 | − | 0.218101i | ||||
\(503\) | −8.35675 | − | 25.7194i | −0.372609 | − | 1.14677i | −0.945078 | − | 0.326846i | \(-0.894014\pi\) |
0.572468 | − | 0.819927i | \(-0.305986\pi\) | |||||||
\(504\) | 22.5626 | − | 22.4641i | 1.00502 | − | 1.00063i | ||||
\(505\) | 7.53192 | − | 21.2533i | 0.335166 | − | 0.945759i | ||||
\(506\) | 9.95796 | + | 11.0594i | 0.442685 | + | 0.491652i | ||||
\(507\) | −21.3633 | − | 0.582810i | −0.948778 | − | 0.0258835i | ||||
\(508\) | 1.48356 | − | 0.315341i | 0.0658224 | − | 0.0139910i | ||||
\(509\) | 2.73606 | + | 1.21817i | 0.121274 | + | 0.0539945i | 0.466477 | − | 0.884534i | \(-0.345523\pi\) |
−0.345203 | + | 0.938528i | \(0.612190\pi\) | |||||||
\(510\) | −7.99315 | − | 4.08616i | −0.353943 | − | 0.180938i | ||||
\(511\) | 28.4944 | − | 12.6865i | 1.26052 | − | 0.561219i | ||||
\(512\) | −19.9816 | + | 14.5175i | −0.883072 | + | 0.641589i | ||||
\(513\) | 28.7385 | − | 17.4815i | 1.26884 | − | 0.771826i | ||||
\(514\) | −10.2628 | − | 7.45639i | −0.452674 | − | 0.328887i | ||||
\(515\) | 13.0257 | − | 21.2445i | 0.573980 | − | 0.936146i | ||||
\(516\) | 2.02578 | + | 0.968970i | 0.0891800 | + | 0.0426565i | ||||
\(517\) | −63.0111 | + | 13.3934i | −2.77123 | + | 0.589042i | ||||
\(518\) | −6.43569 | − | 11.1469i | −0.282768 | − | 0.489768i | ||||
\(519\) | −11.2221 | + | 31.5803i | −0.492594 | + | 1.38622i | ||||
\(520\) | 2.78394 | − | 4.54054i | 0.122084 | − | 0.199116i | ||||
\(521\) | −2.86656 | − | 8.82235i | −0.125586 | − | 0.386514i | 0.868421 | − | 0.495827i | \(-0.165135\pi\) |
−0.994007 | + | 0.109313i | \(0.965135\pi\) | |||||||
\(522\) | −7.83257 | − | 29.4896i | −0.342822 | − | 1.29072i | ||||
\(523\) | 27.2717 | + | 19.8140i | 1.19251 | + | 0.866406i | 0.993527 | − | 0.113597i | \(-0.0362374\pi\) |
0.198979 | + | 0.980004i | \(0.436237\pi\) | |||||||
\(524\) | 0.374775 | − | 0.649129i | 0.0163721 | − | 0.0283573i | ||||
\(525\) | 19.0634 | + | 24.9250i | 0.831994 | + | 1.08782i | ||||
\(526\) | 7.31466 | + | 12.6694i | 0.318934 | + | 0.552410i | ||||
\(527\) | −0.269851 | + | 2.56746i | −0.0117549 | + | 0.111840i | ||||
\(528\) | −35.6947 | − | 8.61085i | −1.55341 | − | 0.374739i | ||||
\(529\) | 18.9945 | + | 4.03741i | 0.825849 | + | 0.175540i | ||||
\(530\) | 23.1839 | + | 17.7984i | 1.00704 | + | 0.773115i | ||||
\(531\) | 2.96210 | − | 7.66634i | 0.128544 | − | 0.332691i | ||||
\(532\) | 3.71300 | 0.160979 | ||||||||
\(533\) | 2.14912 | + | 2.38684i | 0.0930887 | + | 0.103386i | ||||
\(534\) | 0.0135306 | − | 0.00927753i | 0.000585526 | − | 0.000401478i | ||||
\(535\) | −7.34064 | + | 1.35869i | −0.317364 | + | 0.0587412i | ||||
\(536\) | −0.978774 | + | 9.31241i | −0.0422766 | + | 0.402235i | ||||
\(537\) | −27.7324 | − | 13.2649i | −1.19674 | − | 0.572424i | ||||
\(538\) | 0.198240 | + | 1.88612i | 0.00854671 | + | 0.0813166i | ||||
\(539\) | 28.7330 | + | 20.8757i | 1.23762 | + | 0.899181i | ||||
\(540\) | −1.75119 | + | 0.562183i | −0.0753590 | + | 0.0241925i | ||||
\(541\) | −34.5832 | + | 25.1262i | −1.48685 | + | 1.08026i | −0.511580 | + | 0.859236i | \(0.670940\pi\) |
−0.975269 | + | 0.221023i | \(0.929060\pi\) | |||||||
\(542\) | −0.206427 | − | 0.229261i | −0.00886680 | − | 0.00984758i | ||||
\(543\) | 2.71700 | + | 5.01717i | 0.116598 | + | 0.215308i | ||||
\(544\) | 1.49235 | − | 0.317210i | 0.0639841 | − | 0.0136002i | ||||
\(545\) | 13.9764 | − | 14.7210i | 0.598685 | − | 0.630579i | ||||
\(546\) | 1.95983 | + | 6.64297i | 0.0838731 | + | 0.284293i | ||||
\(547\) | −31.4809 | − | 6.69148i | −1.34603 | − | 0.286107i | −0.522140 | − | 0.852860i | \(-0.674866\pi\) |
−0.823888 | + | 0.566753i | \(0.808199\pi\) | |||||||
\(548\) | −1.03317 | − | 0.750639i | −0.0441346 | − | 0.0320657i | ||||
\(549\) | −1.55720 | − | 3.07277i | −0.0664595 | − | 0.131143i | ||||
\(550\) | 14.1088 | − | 36.7022i | 0.601603 | − | 1.56499i | ||||
\(551\) | 24.2580 | − | 42.0161i | 1.03343 | − | 1.78995i | ||||
\(552\) | 8.87366 | − | 3.66422i | 0.377688 | − | 0.155960i | ||||
\(553\) | −8.60589 | + | 9.55781i | −0.365960 | + | 0.406440i | ||||
\(554\) | −9.02670 | + | 10.0252i | −0.383508 | + | 0.425929i | ||||
\(555\) | 0.517069 | + | 10.1247i | 0.0219483 | + | 0.429768i | ||||
\(556\) | −1.20507 | − | 1.33837i | −0.0511066 | − | 0.0567596i | ||||
\(557\) | 0.690059 | 0.0292387 | 0.0146194 | − | 0.999893i | \(-0.495346\pi\) | ||||
0.0146194 | + | 0.999893i | \(0.495346\pi\) | |||||||
\(558\) | −3.86224 | − | 4.79087i | −0.163502 | − | 0.202814i | ||||
\(559\) | −5.38844 | + | 3.91493i | −0.227907 | + | 0.165584i | ||||
\(560\) | 28.8198 | + | 6.92634i | 1.21786 | + | 0.292691i | ||||
\(561\) | 13.5887 | + | 10.4507i | 0.573717 | + | 0.441227i | ||||
\(562\) | 1.87137 | + | 0.833189i | 0.0789391 | + | 0.0351460i | ||||
\(563\) | 24.9057 | + | 11.0887i | 1.04965 | + | 0.467335i | 0.857743 | − | 0.514078i | \(-0.171866\pi\) |
0.191908 | + | 0.981413i | \(0.438533\pi\) | |||||||
\(564\) | −0.401135 | + | 3.02137i | −0.0168908 | + | 0.127223i | ||||
\(565\) | 12.5032 | + | 3.00492i | 0.526013 | + | 0.126418i | ||||
\(566\) | −1.34003 | + | 0.973587i | −0.0563255 | + | 0.0409229i | ||||
\(567\) | 13.3941 | − | 29.7328i | 0.562500 | − | 1.24866i | ||||
\(568\) | 26.1526 | 1.09734 | ||||||||
\(569\) | −1.82199 | − | 2.02353i | −0.0763818 | − | 0.0848306i | 0.703742 | − | 0.710455i | \(-0.251511\pi\) |
−0.780124 | + | 0.625625i | \(0.784844\pi\) | |||||||
\(570\) | 30.2961 | + | 15.4876i | 1.26896 | + | 0.648704i | ||||
\(571\) | −8.49408 | + | 9.43363i | −0.355466 | + | 0.394785i | −0.894183 | − | 0.447702i | \(-0.852243\pi\) |
0.538717 | + | 0.842487i | \(0.318909\pi\) | |||||||
\(572\) | −0.499132 | + | 0.554342i | −0.0208698 | + | 0.0231782i | ||||
\(573\) | 30.9829 | + | 23.8279i | 1.29433 | + | 0.995426i | ||||
\(574\) | −9.71056 | + | 16.8192i | −0.405311 | + | 0.702019i | ||||
\(575\) | 2.44454 | + | 9.14069i | 0.101944 | + | 0.381193i | ||||
\(576\) | −13.9826 | + | 21.4285i | −0.582607 | + | 0.892853i | ||||
\(577\) | 16.0147 | + | 11.6353i | 0.666699 | + | 0.484386i | 0.868919 | − | 0.494955i | \(-0.164815\pi\) |
−0.202219 | + | 0.979340i | \(0.564815\pi\) | |||||||
\(578\) | −18.6942 | − | 3.97357i | −0.777575 | − | 0.165279i | ||||
\(579\) | −24.2054 | − | 5.83922i | −1.00594 | − | 0.242670i | ||||
\(580\) | −1.82646 | + | 1.92377i | −0.0758398 | + | 0.0798801i | ||||
\(581\) | 32.7071 | − | 6.95210i | 1.35692 | − | 0.288422i | ||||
\(582\) | −0.0459138 | + | 0.0747409i | −0.00190319 | + | 0.00309811i | ||||
\(583\) | −37.3469 | − | 41.4780i | −1.54675 | − | 1.71784i | ||||
\(584\) | −20.3983 | + | 14.8202i | −0.844086 | + | 0.613265i | ||||
\(585\) | 1.00714 | − | 5.36137i | 0.0416402 | − | 0.221665i | ||||
\(586\) | 20.4840 | + | 14.8825i | 0.846184 | + | 0.614789i | ||||
\(587\) | 0.882137 | + | 8.39297i | 0.0364097 | + | 0.346415i | 0.997528 | + | 0.0702765i | \(0.0223882\pi\) |
−0.961118 | + | 0.276138i | \(0.910945\pi\) | |||||||
\(588\) | 1.38589 | − | 0.950264i | 0.0571531 | − | 0.0391882i | ||||
\(589\) | 1.02281 | − | 9.73135i | 0.0421440 | − | 0.400973i | ||||
\(590\) | 8.17451 | − | 1.51303i | 0.336539 | − | 0.0622904i | ||||
\(591\) | 17.3022 | + | 8.27599i | 0.711719 | + | 0.340429i | ||||
\(592\) | 6.40763 | + | 7.11639i | 0.263352 | + | 0.292482i | ||||
\(593\) | 12.9618 | 0.532277 | 0.266139 | − | 0.963935i | \(-0.414252\pi\) | ||||
0.266139 | + | 0.963935i | \(0.414252\pi\) | |||||||
\(594\) | −40.5309 | + | 5.20070i | −1.66300 | + | 0.213387i | ||||
\(595\) | −10.9765 | − | 8.42673i | −0.449992 | − | 0.345462i | ||||
\(596\) | −2.34544 | − | 0.498539i | −0.0960731 | − | 0.0204210i | ||||
\(597\) | 16.6712 | − | 17.5293i | 0.682307 | − | 0.717427i | ||||
\(598\) | −0.218300 | + | 2.07699i | −0.00892695 | + | 0.0849343i | ||||
\(599\) | −1.18552 | − | 2.05337i | −0.0484389 | − | 0.0838986i | 0.840789 | − | 0.541362i | \(-0.182091\pi\) |
−0.889228 | + | 0.457464i | \(0.848758\pi\) | |||||||
\(600\) | −19.2625 | − | 16.5042i | −0.786388 | − | 0.673782i | ||||
\(601\) | −10.9399 | + | 18.9484i | −0.446247 | + | 0.772922i | −0.998138 | − | 0.0609941i | \(-0.980573\pi\) |
0.551892 | + | 0.833916i | \(0.313906\pi\) | |||||||
\(602\) | −32.5827 | − | 23.6727i | −1.32797 | − | 0.964829i | ||||
\(603\) | 2.46197 | + | 9.26927i | 0.100259 | + | 0.377474i | ||||
\(604\) | 0.160231 | + | 0.493142i | 0.00651972 | + | 0.0200656i | ||||
\(605\) | −26.3914 | + | 43.0437i | −1.07296 | + | 1.74998i | ||||
\(606\) | −15.3741 | − | 18.0407i | −0.624530 | − | 0.732853i | ||||
\(607\) | −3.49108 | − | 6.04672i | −0.141698 | − | 0.245429i | 0.786438 | − | 0.617669i | \(-0.211923\pi\) |
−0.928136 | + | 0.372240i | \(0.878590\pi\) | |||||||
\(608\) | −5.65641 | + | 1.20231i | −0.229398 | + | 0.0487600i | ||||
\(609\) | −3.63896 | − | 46.8933i | −0.147458 | − | 1.90021i | ||||
\(610\) | 1.82136 | − | 2.97059i | 0.0737447 | − | 0.120276i | ||||
\(611\) | −7.31358 | − | 5.31363i | −0.295876 | − | 0.214966i | ||||
\(612\) | 0.681193 | − | 0.440256i | 0.0275356 | − | 0.0177963i | ||||
\(613\) | −8.10328 | + | 5.88738i | −0.327289 | + | 0.237789i | −0.739279 | − | 0.673399i | \(-0.764834\pi\) |
0.411991 | + | 0.911188i | \(0.364834\pi\) | |||||||
\(614\) | −20.0487 | + | 8.92626i | −0.809100 | + | 0.360235i | ||||
\(615\) | 12.8399 | − | 8.31402i | 0.517756 | − | 0.335254i | ||||
\(616\) | −56.1830 | − | 25.0143i | −2.26368 | − | 1.00785i | ||||
\(617\) | 14.7266 | − | 3.13023i | 0.592870 | − | 0.126018i | 0.0983008 | − | 0.995157i | \(-0.468659\pi\) |
0.494569 | + | 0.869138i | \(0.335326\pi\) | |||||||
\(618\) | −12.4743 | − | 23.0349i | −0.501791 | − | 0.926601i | ||||
\(619\) | −17.8559 | − | 19.8310i | −0.717688 | − | 0.797073i | 0.268398 | − | 0.963308i | \(-0.413506\pi\) |
−0.986086 | + | 0.166235i | \(0.946839\pi\) | |||||||
\(620\) | −0.178711 | + | 0.504280i | −0.00717721 | + | 0.0202524i | ||||
\(621\) | 7.15487 | − | 6.74522i | 0.287115 | − | 0.270676i | ||||
\(622\) | 8.71674 | + | 26.8274i | 0.349510 | + | 1.07568i | ||||
\(623\) | 0.0231031 | − | 0.0102862i | 0.000925606 | − | 0.000412107i | ||||
\(624\) | −2.45376 | − | 4.53109i | −0.0982292 | − | 0.181389i | ||||
\(625\) | 18.5947 | − | 16.7104i | 0.743786 | − | 0.668417i | ||||
\(626\) | −8.45344 | − | 14.6418i | −0.337867 | − | 0.585204i | ||||
\(627\) | −51.5049 | − | 39.6107i | −2.05691 | − | 1.58190i | ||||
\(628\) | −1.01122 | − | 0.214942i | −0.0403521 | − | 0.00857711i | ||||
\(629\) | −1.38153 | − | 4.25191i | −0.0550852 | − | 0.169535i | ||||
\(630\) | 32.7142 | − | 4.22612i | 1.30337 | − | 0.168373i | ||||
\(631\) | −12.8840 | + | 39.6527i | −0.512902 | + | 1.57855i | 0.274165 | + | 0.961683i | \(0.411599\pi\) |
−0.787067 | + | 0.616868i | \(0.788401\pi\) | |||||||
\(632\) | 5.19830 | − | 9.00373i | 0.206777 | − | 0.358149i | ||||
\(633\) | 30.0578 | + | 35.2712i | 1.19469 | + | 1.40190i | ||||
\(634\) | 28.6499 | + | 12.7558i | 1.13783 | + | 0.506596i | ||||
\(635\) | 19.3357 | + | 9.22835i | 0.767314 | + | 0.366216i | ||||
\(636\) | −2.44085 | + | 1.00791i | −0.0967861 | + | 0.0399661i | ||||
\(637\) | 0.520975 | + | 4.95675i | 0.0206418 | + | 0.196394i | ||||
\(638\) | −47.6812 | + | 34.6424i | −1.88772 | + | 1.37151i | ||||
\(639\) | 25.0282 | − | 9.54465i | 0.990101 | − | 0.377580i | ||||
\(640\) | −21.8791 | − | 0.578176i | −0.864849 | − | 0.0228544i | ||||
\(641\) | 1.83139 | + | 17.4245i | 0.0723356 | + | 0.688227i | 0.969259 | + | 0.246042i | \(0.0791300\pi\) |
−0.896924 | + | 0.442185i | \(0.854203\pi\) | |||||||
\(642\) | −2.62766 | + | 7.39456i | −0.103706 | + | 0.291840i | ||||
\(643\) | 21.8712 | + | 37.8820i | 0.862514 | + | 1.49392i | 0.869494 | + | 0.493943i | \(0.164445\pi\) |
−0.00698031 | + | 0.999976i | \(0.502222\pi\) | |||||||
\(644\) | 1.06168 | − | 0.225667i | 0.0418360 | − | 0.00889251i | ||||
\(645\) | 14.3635 | + | 28.2831i | 0.565561 | + | 1.11365i | ||||
\(646\) | −14.6770 | − | 3.11970i | −0.577460 | − | 0.122743i | ||||
\(647\) | 1.45484 | + | 4.47752i | 0.0571955 | + | 0.176030i | 0.975573 | − | 0.219676i | \(-0.0705000\pi\) |
−0.918377 | + | 0.395706i | \(0.870500\pi\) | |||||||
\(648\) | −5.59358 | + | 25.7608i | −0.219737 | + | 1.01198i | ||||
\(649\) | −15.8753 | −0.623159 | ||||||||
\(650\) | 5.15242 | − | 1.97500i | 0.202095 | − | 0.0774657i | ||||
\(651\) | −4.51725 | − | 8.34149i | −0.177045 | − | 0.326929i | ||||
\(652\) | 0.346254 | − | 3.29438i | 0.0135603 | − | 0.129018i | ||||
\(653\) | −7.88400 | + | 8.75607i | −0.308525 | + | 0.342651i | −0.877389 | − | 0.479780i | \(-0.840716\pi\) |
0.568864 | + | 0.822432i | \(0.307383\pi\) | |||||||
\(654\) | −6.03802 | − | 20.4662i | −0.236105 | − | 0.800293i | ||||
\(655\) | 9.78315 | − | 4.04957i | 0.382259 | − | 0.158230i | ||||
\(656\) | 4.46497 | − | 13.7418i | 0.174328 | − | 0.536525i | ||||
\(657\) | −14.1125 | + | 21.6276i | −0.550582 | + | 0.843774i | ||||
\(658\) | 16.8919 | − | 51.9880i | 0.658516 | − | 2.02670i | ||||
\(659\) | 4.56492 | + | 43.4323i | 0.177824 | + | 1.69188i | 0.611844 | + | 0.790978i | \(0.290428\pi\) |
−0.434020 | + | 0.900903i | \(0.642905\pi\) | |||||||
\(660\) | 2.23206 | + | 2.76389i | 0.0868828 | + | 0.107584i | ||||
\(661\) | 3.09245 | − | 29.4227i | 0.120282 | − | 1.14441i | −0.753281 | − | 0.657699i | \(-0.771530\pi\) |
0.873563 | − | 0.486711i | \(-0.161803\pi\) | |||||||
\(662\) | −9.96012 | − | 4.43453i | −0.387111 | − | 0.172353i | ||||
\(663\) | 0.186123 | + | 2.39847i | 0.00722842 | + | 0.0931488i | ||||
\(664\) | −24.6930 | + | 10.9940i | −0.958275 | + | 0.426651i | ||||
\(665\) | 41.6037 | + | 31.9395i | 1.61332 | + | 1.23856i | ||||
\(666\) | 9.48478 | + | 4.85891i | 0.367528 | + | 0.188279i | ||||
\(667\) | 4.38259 | − | 13.4882i | 0.169695 | − | 0.522267i | ||||
\(668\) | 0.130408 | − | 0.225873i | 0.00504563 | − | 0.00873928i | ||||
\(669\) | 14.1724 | − | 39.8830i | 0.547938 | − | 1.54196i | ||||
\(670\) | −6.67950 | + | 7.03535i | −0.258052 | + | 0.271799i | ||||
\(671\) | −4.45242 | + | 4.94491i | −0.171884 | + | 0.190896i | ||||
\(672\) | −3.86347 | + | 4.06234i | −0.149037 | + | 0.156708i | ||||
\(673\) | −9.48138 | + | 4.22138i | −0.365480 | + | 0.162722i | −0.581256 | − | 0.813721i | \(-0.697439\pi\) |
0.215776 | + | 0.976443i | \(0.430772\pi\) | |||||||
\(674\) | −25.6715 | −0.988831 | ||||||||
\(675\) | −24.4577 | − | 8.76463i | −0.941379 | − | 0.337351i | ||||
\(676\) | 1.95314 | 0.0751209 | ||||||||
\(677\) | 12.2593 | − | 5.45819i | 0.471163 | − | 0.209775i | −0.157399 | − | 0.987535i | \(-0.550311\pi\) |
0.628561 | + | 0.777760i | \(0.283644\pi\) | |||||||
\(678\) | 9.31564 | − | 9.79514i | 0.357765 | − | 0.376180i | ||||
\(679\) | −0.0904771 | + | 0.100485i | −0.00347219 | + | 0.00385626i | ||||
\(680\) | 10.0954 | + | 4.81821i | 0.387139 | + | 0.184770i | ||||
\(681\) | −1.01273 | + | 2.84994i | −0.0388078 | + | 0.109210i | ||||
\(682\) | −5.94337 | + | 10.2942i | −0.227583 | + | 0.394186i | ||||
\(683\) | −6.23742 | + | 19.1968i | −0.238668 | + | 0.734546i | 0.757945 | + | 0.652318i | \(0.226203\pi\) |
−0.996614 | + | 0.0822274i | \(0.973797\pi\) | |||||||
\(684\) | −2.58190 | + | 1.66868i | −0.0987214 | + | 0.0638037i | ||||
\(685\) | −5.11944 | − | 17.2982i | −0.195604 | − | 0.660929i | ||||
\(686\) | 3.91310 | − | 1.74222i | 0.149403 | − | 0.0665184i | ||||
\(687\) | −2.62291 | − | 33.8001i | −0.100070 | − | 1.28955i | ||||
\(688\) | 27.3729 | + | 12.1872i | 1.04358 | + | 0.464633i | ||||
\(689\) | 0.818726 | − | 7.78965i | 0.0311910 | − | 0.296762i | ||||
\(690\) | 9.60402 | + | 2.58713i | 0.365619 | + | 0.0984902i | ||||
\(691\) | 5.21851 | + | 49.6508i | 0.198522 | + | 1.88881i | 0.410992 | + | 0.911639i | \(0.365182\pi\) |
−0.212471 | + | 0.977167i | \(0.568151\pi\) | |||||||
\(692\) | 0.946509 | − | 2.91305i | 0.0359809 | − | 0.110738i | ||||
\(693\) | −62.8969 | − | 3.43432i | −2.38925 | − | 0.130459i | ||||
\(694\) | −4.95336 | + | 15.2449i | −0.188027 | + | 0.578687i | ||||
\(695\) | −1.98995 | − | 25.3624i | −0.0754830 | − | 0.962051i | ||||
\(696\) | 10.7586 | + | 36.4669i | 0.407803 | + | 1.38227i | ||||
\(697\) | −4.51376 | + | 5.01304i | −0.170971 | + | 0.189882i | ||||
\(698\) | 1.27542 | − | 12.1348i | 0.0482752 | − | 0.459308i | ||||
\(699\) | −4.49544 | − | 8.30123i | −0.170033 | − | 0.313981i | ||||
\(700\) | −1.80370 | − | 2.22957i | −0.0681733 | − | 0.0842697i | ||||
\(701\) | −14.3384 | −0.541556 | −0.270778 | − | 0.962642i | \(-0.587281\pi\) | ||||
−0.270778 | + | 0.962642i | \(0.587281\pi\) | |||||||
\(702\) | −4.34826 | − | 3.73852i | −0.164115 | − | 0.141101i | ||||
\(703\) | 5.23635 | + | 16.1158i | 0.197493 | + | 0.607820i | ||||
\(704\) | 48.3439 | + | 10.2758i | 1.82203 | + | 0.387284i | ||||
\(705\) | −30.4847 | + | 30.4035i | −1.14812 | + | 1.14506i | ||||
\(706\) | −36.4430 | + | 7.74619i | −1.37155 | + | 0.291532i | ||||
\(707\) | −18.2690 | − | 31.6429i | −0.687078 | − | 1.19005i | ||||
\(708\) | −0.251502 | + | 0.707758i | −0.00945203 | + | 0.0265992i | ||||
\(709\) | −0.419476 | − | 3.99104i | −0.0157537 | − | 0.149887i | 0.983817 | − | 0.179175i | \(-0.0573427\pi\) |
−0.999571 | + | 0.0292879i | \(0.990676\pi\) | |||||||
\(710\) | 21.4919 | + | 16.4995i | 0.806578 | + | 0.619216i | ||||
\(711\) | 1.68882 | − | 10.5138i | 0.0633357 | − | 0.394299i | ||||
\(712\) | −0.0165388 | + | 0.0120162i | −0.000619818 | + | 0.000450324i | ||||
\(713\) | −0.298990 | − | 2.84470i | −0.0111973 | − | 0.106535i | ||||
\(714\) | −13.4454 | + | 5.55204i | −0.503182 | + | 0.207780i | ||||
\(715\) | −10.3612 | + | 1.91777i | −0.387487 | + | 0.0717204i | ||||
\(716\) | 2.56661 | + | 1.14273i | 0.0959188 | + | 0.0427058i | ||||
\(717\) | 4.11255 | + | 4.82586i | 0.153586 | + | 0.180225i | ||||
\(718\) | 19.9679 | − | 34.5854i | 0.745195 | − | 1.29072i | ||||
\(719\) | −8.19802 | + | 25.2309i | −0.305734 | + | 0.940954i | 0.673668 | + | 0.739034i | \(0.264718\pi\) |
−0.979402 | + | 0.201919i | \(0.935282\pi\) | |||||||
\(720\) | −23.1532 | + | 8.13575i | −0.862868 | + | 0.303202i | ||||
\(721\) | −12.4783 | − | 38.4044i | −0.464717 | − | 1.43025i | ||||
\(722\) | 30.4083 | + | 6.46349i | 1.13168 | + | 0.240546i | ||||
\(723\) | −25.7054 | − | 19.7691i | −0.955993 | − | 0.735223i | ||||
\(724\) | −0.260722 | − | 0.451583i | −0.00968965 | − | 0.0167830i | ||||
\(725\) | −37.0137 | + | 5.84420i | −1.37465 | + | 0.217048i | ||||
\(726\) | 25.2744 | + | 46.6713i | 0.938019 | + | 1.73213i | ||||
\(727\) | −38.3332 | + | 17.0671i | −1.42170 | + | 0.632982i | −0.966327 | − | 0.257318i | \(-0.917161\pi\) |
−0.455374 | + | 0.890300i | \(0.650495\pi\) | |||||||
\(728\) | −2.66696 | − | 8.20807i | −0.0988443 | − | 0.304211i | ||||
\(729\) | 4.04856 | + | 26.6947i | 0.149947 | + | 0.988694i | ||||
\(730\) | −26.1131 | − | 0.690062i | −0.966489 | − | 0.0255403i | ||||
\(731\) | −9.36038 | − | 10.3958i | −0.346206 | − | 0.384501i | ||||
\(732\) | 0.149919 | + | 0.276839i | 0.00554117 | + | 0.0102323i | ||||
\(733\) | 5.15459 | − | 1.09564i | 0.190389 | − | 0.0404685i | −0.111730 | − | 0.993739i | \(-0.535639\pi\) |
0.302119 | + | 0.953270i | \(0.402306\pi\) | |||||||
\(734\) | −10.3082 | − | 4.58951i | −0.380483 | − | 0.169402i | ||||
\(735\) | 23.7029 | + | 1.27393i | 0.874296 | + | 0.0469895i | ||||
\(736\) | −1.54429 | + | 0.687564i | −0.0569234 | + | 0.0253439i | ||||
\(737\) | 14.9873 | − | 10.8889i | 0.552066 | − | 0.401099i | ||||
\(738\) | −0.806411 | − | 16.0596i | −0.0296844 | − | 0.591162i | ||||
\(739\) | −40.7402 | − | 29.5995i | −1.49865 | − | 1.08884i | −0.970914 | − | 0.239429i | \(-0.923040\pi\) |
−0.527739 | − | 0.849406i | \(-0.676960\pi\) | |||||||
\(740\) | −0.0724717 | − | 0.923672i | −0.00266411 | − | 0.0339548i | ||||
\(741\) | −0.705455 | − | 9.09081i | −0.0259155 | − | 0.333959i | ||||
\(742\) | 46.3269 | − | 9.84708i | 1.70071 | − | 0.361498i | ||||
\(743\) | 4.77119 | + | 8.26395i | 0.175038 | + | 0.303175i | 0.940174 | − | 0.340693i | \(-0.110662\pi\) |
−0.765136 | + | 0.643868i | \(0.777328\pi\) | |||||||
\(744\) | 4.97372 | + | 5.83640i | 0.182345 | + | 0.213973i | ||||
\(745\) | −21.9919 | − | 25.7617i | −0.805722 | − | 0.943837i | ||||
\(746\) | −1.55408 | − | 4.78296i | −0.0568988 | − | 0.175116i | ||||
\(747\) | −19.6190 | + | 19.5334i | −0.717823 | + | 0.714688i | ||||
\(748\) | −1.26748 | − | 0.920875i | −0.0463435 | − | 0.0336705i | ||||
\(749\) | −6.04850 | + | 10.4763i | −0.221008 | + | 0.382796i | ||||
\(750\) | −5.41730 | − | 25.7156i | −0.197812 | − | 0.939001i | ||||
\(751\) | −2.21298 | − | 3.83300i | −0.0807530 | − | 0.139868i | 0.822821 | − | 0.568301i | \(-0.192399\pi\) |
−0.903574 | + | 0.428433i | \(0.859066\pi\) | |||||||
\(752\) | −4.25102 | + | 40.4458i | −0.155019 | + | 1.47490i | ||||
\(753\) | −10.5672 | + | 11.1111i | −0.385090 | + | 0.404911i | ||||
\(754\) | −8.09010 | − | 1.71960i | −0.294624 | − | 0.0626243i | ||||
\(755\) | −2.44667 | + | 6.90391i | −0.0890433 | + | 0.251259i | ||||
\(756\) | −1.14955 | + | 2.74969i | −0.0418086 | + | 0.100005i | ||||
\(757\) | 17.6362 | 0.640999 | 0.320499 | − | 0.947249i | \(-0.396149\pi\) | ||||
0.320499 | + | 0.947249i | \(0.396149\pi\) | |||||||
\(758\) | 4.21864 | + | 4.68527i | 0.153228 | + | 0.170177i | ||||
\(759\) | −17.1345 | − | 8.19576i | −0.621943 | − | 0.297487i | ||||
\(760\) | −38.2640 | − | 18.2623i | −1.38798 | − | 0.662442i | ||||
\(761\) | −4.73869 | + | 45.0856i | −0.171777 | + | 1.63435i | 0.480942 | + | 0.876753i | \(0.340295\pi\) |
−0.652719 | + | 0.757600i | \(0.726372\pi\) | |||||||
\(762\) | 18.5749 | − | 12.7363i | 0.672898 | − | 0.461387i | ||||
\(763\) | −3.43826 | − | 32.7128i | −0.124473 | − | 1.18428i | ||||
\(764\) | −2.88990 | − | 2.09963i | −0.104553 | − | 0.0759621i | ||||
\(765\) | 11.4198 | + | 0.926664i | 0.412884 | + | 0.0335036i | ||||
\(766\) | −20.9497 | + | 15.2208i | −0.756943 | + | 0.549951i | ||||
\(767\) | −1.49071 | − | 1.65560i | −0.0538263 | − | 0.0597801i | ||||
\(768\) | 3.42212 | − | 5.57070i | 0.123485 | − | 0.201015i | ||||
\(769\) | 16.9322 | − | 3.59905i | 0.610591 | − | 0.129785i | 0.107770 | − | 0.994176i | \(-0.465629\pi\) |
0.502821 | + | 0.864391i | \(0.332296\pi\) | |||||||
\(770\) | −30.3893 | − | 56.0021i | −1.09515 | − | 2.01818i | ||||
\(771\) | 15.7390 | + | 3.79682i | 0.566826 | + | 0.136739i | ||||
\(772\) | 2.22589 | + | 0.473127i | 0.0801115 | + | 0.0170282i | ||||
\(773\) | −3.80040 | − | 2.76115i | −0.136691 | − | 0.0993117i | 0.517339 | − | 0.855781i | \(-0.326923\pi\) |
−0.654029 | + | 0.756469i | \(0.726923\pi\) | |||||||
\(774\) | 33.2959 | + | 1.81804i | 1.19680 | + | 0.0653479i | ||||
\(775\) | −6.34029 | + | 4.11311i | −0.227750 | + | 0.147747i | ||||
\(776\) | 0.0546517 | − | 0.0946596i | 0.00196188 | − | 0.00339808i | ||||
\(777\) | 13.0220 | + | 10.0148i | 0.467161 | + | 0.359278i | ||||
\(778\) | −3.45061 | + | 3.83229i | −0.123710 | + | 0.137394i | ||||
\(779\) | 17.1083 | − | 19.0007i | 0.612969 | − | 0.680771i | ||||
\(780\) | −0.0786475 | + | 0.492309i | −0.00281603 | + | 0.0176275i | ||||
\(781\) | −34.6214 | − | 38.4509i | −1.23885 | − | 1.37588i | ||||
\(782\) | −4.38628 | −0.156853 | ||||||||
\(783\) | 23.6050 | + | 30.9726i | 0.843574 | + | 1.10687i | ||||
\(784\) | 18.1395 | − | 13.1791i | 0.647841 | − | 0.470684i | ||||
\(785\) | −9.48166 | − | 11.1070i | −0.338415 | − | 0.396425i | ||||
\(786\) | 1.46487 | − | 11.0335i | 0.0522501 | − | 0.393551i | ||||
\(787\) | −1.11096 | − | 0.494633i | −0.0396016 | − | 0.0176318i | 0.386840 | − | 0.922147i | \(-0.373566\pi\) |
−0.426442 | + | 0.904515i | \(0.640233\pi\) | |||||||
\(788\) | −1.60131 | − | 0.712949i | −0.0570443 | − | 0.0253977i | ||||
\(789\) | −14.8005 | − | 11.3826i | −0.526912 | − | 0.405230i | ||||
\(790\) | 9.95232 | − | 4.11959i | 0.354088 | − | 0.146568i | ||||
\(791\) | 16.8578 | − | 12.2479i | 0.599395 | − | 0.435486i | ||||
\(792\) | 50.3097 | − | 7.85545i | 1.78768 | − | 0.279131i | ||||
\(793\) | −0.933781 | −0.0331595 | ||||||||
\(794\) | 19.1190 | + | 21.2337i | 0.678506 | + | 0.753558i | ||||
\(795\) | −36.0195 | − | 9.70292i | −1.27748 | − | 0.344127i | ||||
\(796\) | −1.47935 | + | 1.64298i | −0.0524340 | + | 0.0582339i | ||||
\(797\) | 6.79857 | − | 7.55057i | 0.240818 | − | 0.267455i | −0.610605 | − | 0.791935i | \(-0.709074\pi\) |
0.851423 | + | 0.524480i | \(0.175740\pi\) | |||||||
\(798\) | 50.9616 | − | 21.0437i | 1.80402 | − | 0.744938i | ||||
\(799\) | 9.49336 | − | 16.4430i | 0.335851 | − | 0.581711i | ||||
\(800\) | 3.46972 | + | 2.81248i | 0.122673 | + | 0.0994361i | ||||
\(801\) | −0.0114424 | + | 0.0175356i | −0.000404296 | + | 0.000619589i | ||||
\(802\) | 24.7964 | + | 18.0156i | 0.875591 | + | 0.636154i | ||||
\(803\) | 48.7932 | + | 10.3713i | 1.72187 | + | 0.365996i | ||||
\(804\) | −0.248020 | − | 0.840679i | −0.00874700 | − | 0.0296485i | ||||
\(805\) | 13.8372 | + | 6.60406i | 0.487696 | + | 0.232763i | ||||
\(806\) | −1.63165 | + | 0.346818i | −0.0574724 | + | 0.0122161i | ||||
\(807\) | −1.15264 | − | 2.12845i | −0.0405748 | − | 0.0749248i | ||||
\(808\) | 19.7635 | + | 21.9496i | 0.695277 | + | 0.772183i | ||||
\(809\) | 23.4603 | − | 17.0449i | 0.824822 | − | 0.599268i | −0.0932678 | − | 0.995641i | \(-0.529731\pi\) |
0.918090 | + | 0.396373i | \(0.129731\pi\) | |||||||
\(810\) | −20.8491 | + | 17.6410i | −0.732563 | + | 0.619842i | ||||
\(811\) | 6.79475 | + | 4.93668i | 0.238596 | + | 0.173350i | 0.700658 | − | 0.713498i | \(-0.252890\pi\) |
−0.462062 | + | 0.886848i | \(0.652890\pi\) | |||||||
\(812\) | 0.449317 | + | 4.27497i | 0.0157679 | + | 0.150022i | ||||
\(813\) | 0.355196 | + | 0.169897i | 0.0124573 | + | 0.00595855i | ||||
\(814\) | 2.15172 | − | 20.4722i | 0.0754176 | − | 0.717551i | ||||
\(815\) | 32.2182 | − | 33.9346i | 1.12856 | − | 1.18868i | ||||
\(816\) | 8.92573 | − | 6.12011i | 0.312463 | − | 0.214247i | ||||
\(817\) | 35.4783 | + | 39.4026i | 1.24123 | + | 1.37852i | ||||
\(818\) | 33.5500 | 1.17305 | ||||||||
\(819\) | −5.54793 | − | 6.88186i | −0.193860 | − | 0.240472i | ||||
\(820\) | −1.15230 | + | 0.791546i | −0.0402400 | + | 0.0276420i | ||||
\(821\) | −29.5317 | − | 6.27717i | −1.03066 | − | 0.219075i | −0.338616 | − | 0.940925i | \(-0.609959\pi\) |
−0.692049 | + | 0.721850i | \(0.743292\pi\) | |||||||
\(822\) | −18.4347 | − | 4.44711i | −0.642983 | − | 0.155111i | ||||
\(823\) | 4.02282 | − | 38.2746i | 0.140227 | − | 1.33417i | −0.667500 | − | 0.744610i | \(-0.732636\pi\) |
0.807726 | − | 0.589557i | \(-0.200698\pi\) | |||||||
\(824\) | 16.3212 | + | 28.2691i | 0.568574 | + | 0.984800i | ||||
\(825\) | 1.23473 | + | 50.1694i | 0.0429876 | + | 1.74668i | ||||
\(826\) | 6.73559 | − | 11.6664i | 0.234361 | − | 0.405925i | ||||
\(827\) | −13.9655 | − | 10.1465i | −0.485629 | − | 0.352830i | 0.317872 | − | 0.948134i | \(-0.397032\pi\) |
−0.803501 | + | 0.595304i | \(0.797032\pi\) | |||||||
\(828\) | −0.636838 | + | 0.634057i | −0.0221316 | + | 0.0220350i | ||||
\(829\) | 0.316717 | + | 0.974753i | 0.0110000 | + | 0.0338546i | 0.956406 | − | 0.292041i | \(-0.0943343\pi\) |
−0.945406 | + | 0.325895i | \(0.894334\pi\) | |||||||
\(830\) | −27.2286 | − | 6.54391i | −0.945117 | − | 0.227142i | ||||
\(831\) | 5.76506 | − | 16.2236i | 0.199988 | − | 0.562790i | ||||
\(832\) | 3.46790 | + | 6.00659i | 0.120228 | + | 0.208241i | ||||
\(833\) | −10.2392 | + | 2.17640i | −0.354766 | + | 0.0754078i | ||||
\(834\) | −24.1252 | − | 11.5395i | −0.835386 | − | 0.399581i | ||||
\(835\) | 3.40418 | − | 1.40910i | 0.117806 | − | 0.0487639i | ||||
\(836\) | 4.80406 | + | 3.49035i | 0.166152 | + | 0.120716i | ||||
\(837\) | 6.88995 | + | 3.77027i | 0.238151 | + | 0.130320i | ||||
\(838\) | −42.8399 | + | 31.1250i | −1.47988 | + | 1.07519i | ||||
\(839\) | 22.7924 | − | 10.1478i | 0.786882 | − | 0.350343i | 0.0263585 | − | 0.999653i | \(-0.491609\pi\) |
0.760524 | + | 0.649310i | \(0.224942\pi\) | |||||||
\(840\) | −40.6062 | + | 6.37587i | −1.40105 | + | 0.219988i | ||||
\(841\) | 24.8180 | + | 11.0497i | 0.855794 | + | 0.381024i | ||||
\(842\) | 30.2361 | − | 6.42688i | 1.04200 | − | 0.221485i | ||||
\(843\) | −2.61348 | − | 0.0712981i | −0.0900130 | − | 0.00245564i | ||||
\(844\) | −2.83390 | − | 3.14736i | −0.0975468 | − | 0.108337i | ||||
\(845\) | 21.8847 | + | 16.8011i | 0.752857 | + | 0.577975i | ||||
\(846\) | 11.6182 | + | 43.7423i | 0.399441 | + | 1.50389i | ||||
\(847\) | 25.2825 | + | 77.8114i | 0.868716 | + | 2.67363i | ||||
\(848\) | −32.1899 | + | 14.3319i | −1.10541 | + | 0.492159i | ||||
\(849\) | 1.10654 | − | 1.80128i | 0.0379763 | − | 0.0618197i | ||||
\(850\) | 5.25648 | + | 10.3287i | 0.180296 | + | 0.354270i | ||||
\(851\) | 2.47674 | + | 4.28983i | 0.0849014 | + | 0.147054i | ||||
\(852\) | −2.26272 | + | 0.934350i | −0.0775195 | + | 0.0320103i | ||||
\(853\) | 47.2914 | + | 10.0521i | 1.61923 | + | 0.344177i | 0.926287 | − | 0.376819i | \(-0.122982\pi\) |
0.692939 | + | 0.720996i | \(0.256315\pi\) | |||||||
\(854\) | −1.74483 | − | 5.37002i | −0.0597067 | − | 0.183758i | ||||
\(855\) | −43.2840 | − | 3.51230i | −1.48028 | − | 0.120118i | ||||
\(856\) | 3.02181 | − | 9.30017i | 0.103283 | − | 0.317873i | ||||
\(857\) | 5.39440 | − | 9.34338i | 0.184269 | − | 0.319164i | −0.759061 | − | 0.651020i | \(-0.774341\pi\) |
0.943330 | + | 0.331856i | \(0.107675\pi\) | |||||||
\(858\) | −3.70890 | + | 10.4373i | −0.126620 | + | 0.356324i | ||||
\(859\) | −29.5585 | − | 13.1603i | −1.00852 | − | 0.449024i | −0.165102 | − | 0.986276i | \(-0.552795\pi\) |
−0.843421 | + | 0.537253i | \(0.819462\pi\) | |||||||
\(860\) | −1.38269 | − | 2.54806i | −0.0471495 | − | 0.0868883i | ||||
\(861\) | 3.26225 | − | 24.5714i | 0.111177 | − | 0.837393i | ||||
\(862\) | −4.34608 | − | 41.3502i | −0.148028 | − | 1.40839i | ||||
\(863\) | 42.3313 | − | 30.7555i | 1.44098 | − | 1.04693i | 0.453138 | − | 0.891441i | \(-0.350305\pi\) |
0.987838 | − | 0.155489i | \(-0.0496954\pi\) | |||||||
\(864\) | 0.860850 | − | 4.56112i | 0.0292867 | − | 0.155172i | ||||
\(865\) | 35.6638 | − | 24.4985i | 1.21261 | − | 0.832973i | ||||
\(866\) | −1.78021 | − | 16.9376i | −0.0604940 | − | 0.575562i | ||||
\(867\) | 23.9887 | − | 4.41889i | 0.814698 | − | 0.150073i | ||||
\(868\) | 0.433473 | + | 0.750797i | 0.0147130 | + | 0.0254837i | ||||
\(869\) | −20.1194 | + | 4.27651i | −0.682504 | + | 0.145071i | ||||
\(870\) | −14.1655 | + | 36.7557i | −0.480254 | + | 1.24613i | ||||
\(871\) | 2.54291 | + | 0.540513i | 0.0861633 | + | 0.0183146i | ||||
\(872\) | 8.21661 | + | 25.2881i | 0.278250 | + | 0.856364i | ||||
\(873\) | 0.0177552 | − | 0.110536i | 0.000600922 | − | 0.00374107i | ||||
\(874\) | 16.6251 | 0.562354 | ||||||||
\(875\) | −1.03131 | − | 40.4975i | −0.0348647 | − | 1.36907i | ||||
\(876\) | 1.23538 | − | 2.01101i | 0.0417396 | − | 0.0679458i | ||||
\(877\) | −0.395513 | + | 3.76306i | −0.0133555 | + | 0.127069i | −0.999168 | − | 0.0407802i | \(-0.987016\pi\) |
0.985813 | + | 0.167850i | \(0.0536823\pi\) | |||||||
\(878\) | −8.56726 | + | 9.51490i | −0.289131 | + | 0.321112i | ||||
\(879\) | −31.4140 | − | 7.57821i | −1.05957 | − | 0.255607i | ||||
\(880\) | 30.7775 | + | 36.0533i | 1.03751 | + | 1.21536i | ||||
\(881\) | 11.3121 | − | 34.8150i | 0.381114 | − | 1.17295i | −0.558147 | − | 0.829742i | \(-0.688487\pi\) |
0.939261 | − | 0.343205i | \(-0.111513\pi\) | |||||||
\(882\) | 13.6359 | − | 20.8971i | 0.459144 | − | 0.703643i | ||||
\(883\) | 14.4473 | − | 44.4642i | 0.486191 | − | 1.49634i | −0.344058 | − | 0.938948i | \(-0.611802\pi\) |
0.830249 | − | 0.557393i | \(-0.188198\pi\) | |||||||
\(884\) | −0.0229814 | − | 0.218653i | −0.000772948 | − | 0.00735411i | ||||
\(885\) | −8.90623 | + | 5.76690i | −0.299380 | + | 0.193852i | ||||
\(886\) | −0.380640 | + | 3.62155i | −0.0127879 | + | 0.121668i | ||||
\(887\) | 24.4031 | + | 10.8650i | 0.819376 | + | 0.364810i | 0.773231 | − | 0.634125i | \(-0.218640\pi\) |
0.0461455 | + | 0.998935i | \(0.485306\pi\) | |||||||
\(888\) | −11.9796 | − | 5.73008i | −0.402010 | − | 0.192289i | ||||
\(889\) | 31.7162 | − | 14.1209i | 1.06373 | − | 0.473601i | ||||
\(890\) | −0.0211724 | 0.000559499i | −0.000709700 | 1.87544e-5i | ||||||
\(891\) | 45.2799 | − | 25.8788i | 1.51693 | − | 0.866971i | ||||
\(892\) | −1.19535 | + | 3.67892i | −0.0400234 | + | 0.123179i | ||||
\(893\) | −35.9823 | + | 62.3232i | −1.20410 | + | 2.08556i | ||||
\(894\) | −35.0171 | + | 6.45042i | −1.17115 | + | 0.215734i | ||||
\(895\) | 18.9287 | + | 34.8823i | 0.632718 | + | 1.16599i | ||||
\(896\) | −23.7313 | + | 26.3563i | −0.792808 | + | 0.880502i | ||||
\(897\) | −0.754231 | − | 2.55651i | −0.0251830 | − | 0.0853593i | ||||
\(898\) | −20.6247 | + | 9.18273i | −0.688256 | + | 0.306432i | ||||
\(899\) | 11.3280 | 0.377809 | ||||||||
\(900\) | 2.25623 | + | 0.739756i | 0.0752078 | + | 0.0246585i | ||||
\(901\) | 16.4506 | 0.548048 | ||||||||
\(902\) | −28.3746 | + | 12.6332i | −0.944772 | + | 0.420640i | ||||
\(903\) | 49.9686 | + | 12.0542i | 1.66285 | + | 0.401140i | ||||
\(904\) | −11.2710 | + | 12.5177i | −0.374867 | + | 0.416332i | ||||
\(905\) | 0.963198 | − | 7.30268i | 0.0320178 | − | 0.242749i | ||||
\(906\) | 4.99412 | + | 5.86033i | 0.165918 | + | 0.194696i | ||||
\(907\) | 21.1942 | − | 36.7094i | 0.703742 | − | 1.21892i | −0.263402 | − | 0.964686i | \(-0.584844\pi\) |
0.967144 | − | 0.254231i | \(-0.0818222\pi\) | |||||||
\(908\) | 0.0854169 | − | 0.262886i | 0.00283466 | − | 0.00872419i | ||||
\(909\) | 26.9245 | + | 13.7930i | 0.893031 | + | 0.457486i | ||||
\(910\) | 2.98675 | − | 8.42789i | 0.0990097 | − | 0.279382i | ||||
\(911\) | −1.54647 | + | 0.688534i | −0.0512369 | + | 0.0228122i | −0.432195 | − | 0.901780i | \(-0.642261\pi\) |
0.380958 | + | 0.924592i | \(0.375594\pi\) | |||||||
\(912\) | −33.8308 | + | 23.1968i | −1.12025 | + | 0.768123i | ||||
\(913\) | 48.8532 | + | 21.7509i | 1.61681 | + | 0.719848i | ||||
\(914\) | 1.94595 | − | 18.5145i | 0.0643664 | − | 0.612405i | ||||
\(915\) | −0.701561 | + | 4.39156i | −0.0231929 | + | 0.145180i | ||||
\(916\) | 0.323862 | + | 3.08134i | 0.0107007 | + | 0.101810i | ||||
\(917\) | 5.30190 | − | 16.3176i | 0.175084 | − | 0.538854i | ||||
\(918\) | 6.85432 | − | 9.90330i | 0.226226 | − | 0.326857i | ||||
\(919\) | −18.5418 | + | 57.0659i | −0.611639 | + | 1.88243i | −0.169354 | + | 0.985555i | \(0.554168\pi\) |
−0.442284 | + | 0.896875i | \(0.645832\pi\) | |||||||
\(920\) | −12.0510 | − | 2.89624i | −0.397308 | − | 0.0954861i | ||||
\(921\) | 19.3028 | − | 20.2963i | 0.636047 | − | 0.668787i | ||||
\(922\) | −4.79789 | + | 5.32859i | −0.158010 | + | 0.175488i | ||||
\(923\) | 0.758976 | − | 7.22117i | 0.0249820 | − | 0.237688i | ||||
\(924\) | 5.75464 | + | 0.156992i | 0.189314 | + | 0.00516465i | ||||
\(925\) | 7.13345 | − | 10.9730i | 0.234546 | − | 0.360791i | ||||
\(926\) | 42.5506 | 1.39830 | ||||||||
\(927\) | 25.9366 | + | 21.0972i | 0.851869 | + | 0.692922i | ||||
\(928\) | −2.06877 | − | 6.36702i | −0.0679107 | − | 0.209008i | ||||
\(929\) | −10.1741 | − | 2.16258i | −0.333802 | − | 0.0709518i | 0.0379617 | − | 0.999279i | \(-0.487914\pi\) |
−0.371764 | + | 0.928327i | \(0.621247\pi\) | |||||||
\(930\) | 0.405201 | + | 7.93419i | 0.0132871 | + | 0.260172i | ||||
\(931\) | 38.8091 | − | 8.24912i | 1.27192 | − | 0.270354i | ||||
\(932\) | 0.431380 | + | 0.747173i | 0.0141303 | + | 0.0244745i | ||||
\(933\) | −23.3512 | − | 27.4014i | −0.764485 | − | 0.897083i | ||||
\(934\) | 2.83151 | + | 26.9400i | 0.0926499 | + | 0.881505i | ||||
\(935\) | −6.28047 | − | 21.2212i | −0.205393 | − | 0.694008i | ||||
\(936\) | 5.54336 | + | 4.50905i | 0.181190 | + | 0.147383i | ||||
\(937\) | −26.6086 | + | 19.3323i | −0.869264 | + | 0.631557i | −0.930389 | − | 0.366573i | \(-0.880531\pi\) |
0.0611254 | + | 0.998130i | \(0.480531\pi\) | |||||||
\(938\) | 1.64318 | + | 15.6338i | 0.0536518 | + | 0.510463i | ||||
\(939\) | 17.1047 | + | 13.1547i | 0.558191 | + | 0.429286i | ||||
\(940\) | 2.70922 | − | 2.85355i | 0.0883651 | − | 0.0930726i | ||||
\(941\) | −26.1372 | − | 11.6370i | −0.852048 | − | 0.379356i | −0.0662226 | − | 0.997805i | \(-0.521095\pi\) |
−0.785825 | + | 0.618449i | \(0.787761\pi\) | |||||||
\(942\) | −15.0974 | + | 2.78105i | −0.491899 | + | 0.0906115i | ||||
\(943\) | 3.73705 | − | 6.47277i | 0.121695 | − | 0.210782i | ||||
\(944\) | −3.09706 | + | 9.53177i | −0.100801 | + | 0.310233i | ||||
\(945\) | −36.5335 | + | 20.9214i | −1.18844 | + | 0.680573i | ||||
\(946\) | −19.9039 | − | 61.2579i | −0.647131 | − | 1.99167i | ||||
\(947\) | −39.8598 | − | 8.47246i | −1.29527 | − | 0.275318i | −0.491823 | − | 0.870695i | \(-0.663669\pi\) |
−0.803446 | + | 0.595378i | \(0.797002\pi\) | |||||||
\(948\) | −0.128082 | + | 0.964722i | −0.00415991 | + | 0.0313327i | ||||
\(949\) | 3.50013 | + | 6.06241i | 0.113619 | + | 0.196794i | ||||
\(950\) | −19.9234 | − | 39.1483i | −0.646401 | − | 1.27014i | ||||
\(951\) | −40.0112 | − | 1.09154i | −1.29745 | − | 0.0353957i | ||||
\(952\) | 16.5593 | − | 7.37268i | 0.536691 | − | 0.238950i | ||||
\(953\) | −15.8582 | − | 48.8064i | −0.513697 | − | 1.58100i | −0.785641 | − | 0.618683i | \(-0.787667\pi\) |
0.271944 | − | 0.962313i | \(-0.412333\pi\) | |||||||
\(954\) | −27.7887 | + | 27.6674i | −0.899693 | + | 0.895764i | ||||
\(955\) | −14.3197 | − | 48.3852i | −0.463376 | − | 1.56571i | ||||
\(956\) | −0.387738 | − | 0.430627i | −0.0125403 | − | 0.0139275i | ||||
\(957\) | 39.3731 | − | 64.0935i | 1.27275 | − | 2.07185i | ||||
\(958\) | −8.49160 | + | 1.80495i | −0.274351 | + | 0.0583152i | ||||
\(959\) | −26.7050 | − | 11.8898i | −0.862348 | − | 0.383942i | ||||
\(960\) | 30.8544 | − | 11.7967i | 0.995820 | − | 0.380736i | ||||
\(961\) | −26.2328 | + | 11.6796i | −0.846218 | + | 0.376760i | ||||
\(962\) | 2.33705 | − | 1.69797i | 0.0753495 | − | 0.0547446i | ||||
\(963\) | −0.502296 | − | 10.0032i | −0.0161863 | − | 0.322348i | ||||
\(964\) | 2.39764 | + | 1.74199i | 0.0772228 | + | 0.0561057i | ||||
\(965\) | 20.8709 | + | 24.4486i | 0.671859 | + | 0.787028i | ||||
\(966\) | 13.2927 | − | 9.11444i | 0.427687 | − | 0.293252i | ||||
\(967\) | −48.9177 | + | 10.3978i | −1.57309 | + | 0.334370i | −0.910141 | − | 0.414298i | \(-0.864027\pi\) |
−0.662945 | + | 0.748668i | \(0.730694\pi\) | |||||||
\(968\) | −33.0684 | − | 57.2762i | −1.06286 | − | 1.84093i | ||||
\(969\) | 18.8338 | − | 3.46933i | 0.605029 | − | 0.111451i | ||||
\(970\) | 0.104633 | − | 0.0433108i | 0.00335955 | − | 0.00139063i | ||||
\(971\) | 7.19668 | + | 22.1491i | 0.230953 | + | 0.710799i | 0.997633 | + | 0.0687694i | \(0.0219073\pi\) |
−0.766680 | + | 0.642029i | \(0.778093\pi\) | |||||||
\(972\) | −0.436397 | − | 2.42867i | −0.0139974 | − | 0.0778995i | ||||
\(973\) | −33.3511 | − | 24.2310i | −1.06919 | − | 0.776810i | ||||
\(974\) | −0.587043 | + | 1.01679i | −0.0188101 | + | 0.0325800i | ||||
\(975\) | −5.11611 | + | 4.83973i | −0.163847 | + | 0.154995i | ||||
\(976\) | 2.10040 | + | 3.63799i | 0.0672320 | + | 0.116449i | ||||
\(977\) | 2.13598 | − | 20.3224i | 0.0683359 | − | 0.650173i | −0.905722 | − | 0.423873i | \(-0.860670\pi\) |
0.974058 | − | 0.226300i | \(-0.0726630\pi\) | |||||||
\(978\) | −13.9187 | − | 47.1784i | −0.445072 | − | 1.50860i | ||||
\(979\) | 0.0395613 | + | 0.00840901i | 0.00126438 | + | 0.000268753i | ||||
\(980\) | −2.16861 | − | 0.0573074i | −0.0692736 | − | 0.00183062i | ||||
\(981\) | 17.0925 | + | 21.2022i | 0.545723 | + | 0.676935i | ||||
\(982\) | 5.27243 | 0.168250 | ||||||||
\(983\) | −10.3699 | − | 11.5170i | −0.330750 | − | 0.367335i | 0.554716 | − | 0.832040i | \(-0.312827\pi\) |
−0.885466 | + | 0.464705i | \(0.846160\pi\) | |||||||
\(984\) | 1.55022 | + | 19.9769i | 0.0494193 | + | 0.636840i | ||||
\(985\) | −11.8096 | − | 21.7631i | −0.376286 | − | 0.693429i | ||||
\(986\) | 1.81577 | − | 17.2759i | 0.0578260 | − | 0.550177i | ||||
\(987\) | 5.39772 | + | 69.5575i | 0.171811 | + | 2.21404i | ||||
\(988\) | 0.0871054 | + | 0.828753i | 0.00277119 | + | 0.0263661i | ||||
\(989\) | 12.5393 | + | 9.11032i | 0.398726 | + | 0.289691i | ||||
\(990\) | 46.3000 | + | 25.2846i | 1.47151 | + | 0.803597i | ||||
\(991\) | −45.2960 | + | 32.9095i | −1.43887 | + | 1.04540i | −0.450599 | + | 0.892727i | \(0.648789\pi\) |
−0.988276 | + | 0.152677i | \(0.951211\pi\) | |||||||
\(992\) | −0.903470 | − | 1.00341i | −0.0286852 | − | 0.0318581i | ||||
\(993\) | 13.9099 | + | 0.379474i | 0.441417 | + | 0.0120422i | ||||
\(994\) | 42.9460 | − | 9.12844i | 1.36216 | − | 0.289537i | ||||
\(995\) | −30.7089 | + | 5.68394i | −0.973537 | + | 0.180193i | ||||
\(996\) | 1.74366 | − | 1.83341i | 0.0552499 | − | 0.0580938i | ||||
\(997\) | −23.5934 | − | 5.01494i | −0.747211 | − | 0.158825i | −0.181457 | − | 0.983399i | \(-0.558081\pi\) |
−0.565754 | + | 0.824574i | \(0.691415\pi\) | |||||||
\(998\) | 7.71602 | + | 5.60601i | 0.244246 | + | 0.177455i | ||||
\(999\) | −13.5559 | − | 1.11165i | −0.428888 | − | 0.0351712i |
(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 | 225.2.q.a.16.9 | ✓ | 224 | |
3.2 | odd | 2 | 675.2.r.a.316.20 | 224 | |||
9.4 | even | 3 | inner | 225.2.q.a.166.20 | yes | 224 | |
9.5 | odd | 6 | 675.2.r.a.91.9 | 224 | |||
25.11 | even | 5 | inner | 225.2.q.a.61.20 | yes | 224 | |
75.11 | odd | 10 | 675.2.r.a.586.9 | 224 | |||
225.86 | odd | 30 | 675.2.r.a.361.20 | 224 | |||
225.211 | even | 15 | inner | 225.2.q.a.211.9 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.q.a.16.9 | ✓ | 224 | 1.1 | even | 1 | trivial | |
225.2.q.a.61.20 | yes | 224 | 25.11 | even | 5 | inner | |
225.2.q.a.166.20 | yes | 224 | 9.4 | even | 3 | inner | |
225.2.q.a.211.9 | yes | 224 | 225.211 | even | 15 | inner | |
675.2.r.a.91.9 | 224 | 9.5 | odd | 6 | |||
675.2.r.a.316.20 | 224 | 3.2 | odd | 2 | |||
675.2.r.a.361.20 | 224 | 225.86 | odd | 30 | |||
675.2.r.a.586.9 | 224 | 75.11 | odd | 10 |