Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [387,2,Mod(10,387)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(387, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("387.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 387 = 3^{2} \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 387.y (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.09021055822\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{21})\) |
Twist minimal: | no (minimal twist has level 43) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 100.2 | ||
Character | \(\chi\) | \(=\) | 387.100 |
Dual form | 387.2.y.c.298.2 |
$q$-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 \(\left(\mathbb{Z}/387\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(173\) |
\(\chi(n)\) | \(e\left(\frac{10}{21}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.982954 | − | 0.473366i | 0.695054 | − | 0.334720i | −0.0527802 | − | 0.998606i | \(-0.516808\pi\) |
0.747834 | + | 0.663886i | \(0.231094\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.504856 | + | 0.633069i | −0.252428 | + | 0.316534i | ||||
\(5\) | −1.29085 | + | 0.398175i | −0.577286 | + | 0.178069i | −0.569629 | − | 0.821902i | \(-0.692913\pi\) |
−0.00765630 | + | 0.999971i | \(0.502437\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.108163 | + | 0.187343i | −0.0408816 | + | 0.0708091i | −0.885742 | − | 0.464177i | \(-0.846350\pi\) |
0.844861 | + | 0.534987i | \(0.179683\pi\) | |||||||
\(8\) | −0.682116 | + | 2.98855i | −0.241164 | + | 1.05661i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.08036 | + | 1.00243i | −0.341641 | + | 0.316997i | ||||
\(11\) | 3.76031 | + | 4.71528i | 1.13378 | + | 1.42171i | 0.892380 | + | 0.451285i | \(0.149034\pi\) |
0.241397 | + | 0.970426i | \(0.422394\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.10767 | + | 1.95563i | 0.584562 | + | 0.542395i | 0.916050 | − | 0.401065i | \(-0.131360\pi\) |
−0.331487 | + | 0.943460i | \(0.607550\pi\) | |||||||
\(14\) | −0.0176371 | + | 0.235350i | −0.00471370 | + | 0.0629000i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.383825 | + | 1.68165i | 0.0959562 | + | 0.420412i | ||||
\(17\) | −0.270054 | − | 0.0833006i | −0.0654977 | − | 0.0202034i | 0.261833 | − | 0.965113i | \(-0.415673\pi\) |
−0.327331 | + | 0.944910i | \(0.606149\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.12457 | + | 0.169502i | 0.257994 | + | 0.0388863i | 0.276766 | − | 0.960937i | \(-0.410737\pi\) |
−0.0187716 | + | 0.999824i | \(0.505976\pi\) | |||||||
\(20\) | 0.399621 | − | 1.01822i | 0.0893580 | − | 0.227680i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 5.92827 | + | 2.85490i | 1.26391 | + | 0.608668i | ||||
\(23\) | 1.44040 | − | 3.67008i | 0.300344 | − | 0.765265i | −0.698426 | − | 0.715682i | \(-0.746116\pi\) |
0.998770 | − | 0.0495821i | \(-0.0157890\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.62344 | + | 1.78863i | −0.524688 | + | 0.357727i | ||||
\(26\) | 2.99747 | + | 0.924598i | 0.587853 | + | 0.181329i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.0639946 | − | 0.163056i | −0.0120938 | − | 0.0308146i | ||||
\(29\) | −0.515946 | + | 6.88482i | −0.0958088 | + | 1.27848i | 0.717463 | + | 0.696596i | \(0.245303\pi\) |
−0.813272 | + | 0.581883i | \(0.802316\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −8.17225 | − | 5.57174i | −1.46778 | − | 1.00071i | −0.992679 | − | 0.120783i | \(-0.961459\pi\) |
−0.475100 | − | 0.879932i | \(-0.657588\pi\) | |||||||
\(32\) | −2.64918 | − | 3.32196i | −0.468313 | − | 0.587246i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.304882 | + | 0.0459536i | −0.0522869 | + | 0.00788098i | ||||
\(35\) | 0.0650265 | − | 0.284900i | 0.0109915 | − | 0.0481568i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.77129 | − | 6.53207i | −0.619996 | − | 1.07387i | −0.989486 | − | 0.144630i | \(-0.953801\pi\) |
0.369489 | − | 0.929235i | \(-0.379533\pi\) | |||||||
\(38\) | 1.18564 | − | 0.365721i | 0.192336 | − | 0.0593277i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.309453 | − | 4.12937i | −0.0489289 | − | 0.652910i | ||||
\(41\) | 4.62195 | − | 2.22581i | 0.721827 | − | 0.347613i | −0.0366371 | − | 0.999329i | \(-0.511665\pi\) |
0.758464 | + | 0.651715i | \(0.225950\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.90092 | + | 2.85993i | 0.899881 | + | 0.436135i | ||||
\(44\) | −4.88351 | −0.736217 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.321443 | − | 4.28936i | −0.0473942 | − | 0.632431i | ||||
\(47\) | −0.288239 | + | 0.361440i | −0.0420439 | + | 0.0527214i | −0.802409 | − | 0.596775i | \(-0.796449\pi\) |
0.760365 | + | 0.649496i | \(0.225020\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.47660 | + | 6.02165i | 0.496657 | + | 0.860236i | ||||
\(50\) | −1.73205 | + | 2.99999i | −0.244948 | + | 0.424263i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.30212 | + | 0.346988i | −0.319246 | + | 0.0481186i | ||||
\(53\) | 6.12346 | − | 5.68174i | 0.841123 | − | 0.780448i | −0.136539 | − | 0.990635i | \(-0.543598\pi\) |
0.977661 | + | 0.210187i | \(0.0674073\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −6.73151 | − | 4.58946i | −0.907676 | − | 0.618843i | ||||
\(56\) | −0.486104 | − | 0.451039i | −0.0649584 | − | 0.0602726i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 2.75189 | + | 7.01170i | 0.361341 | + | 0.920681i | ||||
\(59\) | −1.85926 | − | 8.14595i | −0.242055 | − | 1.06051i | −0.939143 | − | 0.343527i | \(-0.888378\pi\) |
0.697088 | − | 0.716986i | \(-0.254479\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 11.0987 | − | 7.56700i | 1.42105 | − | 0.968855i | 0.423019 | − | 0.906121i | \(-0.360971\pi\) |
0.998030 | − | 0.0627337i | \(-0.0199819\pi\) | |||||||
\(62\) | −10.6704 | − | 1.60831i | −1.35514 | − | 0.204255i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −7.28468 | − | 3.50811i | −0.910584 | − | 0.438514i | ||||
\(65\) | −3.49937 | − | 1.68521i | −0.434043 | − | 0.209024i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.22328 | + | 0.938008i | 0.760294 | + | 0.114596i | 0.517736 | − | 0.855541i | \(-0.326775\pi\) |
0.242559 | + | 0.970137i | \(0.422013\pi\) | |||||||
\(68\) | 0.189073 | − | 0.128908i | 0.0229285 | − | 0.0156324i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.0709437 | − | 0.310825i | −0.00847939 | − | 0.0371506i | ||||
\(71\) | 0.540324 | + | 1.37672i | 0.0641247 | + | 0.163387i | 0.959344 | − | 0.282238i | \(-0.0910768\pi\) |
−0.895220 | + | 0.445625i | \(0.852982\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.601198 | + | 0.557830i | 0.0703649 | + | 0.0652891i | 0.714571 | − | 0.699563i | \(-0.246622\pi\) |
−0.644206 | + | 0.764852i | \(0.722812\pi\) | |||||||
\(74\) | −6.79906 | − | 4.63552i | −0.790375 | − | 0.538869i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.675051 | + | 0.626356i | −0.0774337 | + | 0.0718480i | ||||
\(77\) | −1.29010 | + | 0.194451i | −0.147021 | + | 0.0221598i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −3.07798 | + | 5.33121i | −0.346299 | + | 0.599808i | −0.985589 | − | 0.169158i | \(-0.945895\pi\) |
0.639290 | + | 0.768966i | \(0.279228\pi\) | |||||||
\(80\) | −1.16505 | − | 2.01792i | −0.130256 | − | 0.225611i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 3.48954 | − | 4.37574i | 0.385355 | − | 0.483220i | ||||
\(83\) | 0.538458 | + | 7.18523i | 0.0591035 | + | 0.788681i | 0.945473 | + | 0.325702i | \(0.105601\pi\) |
−0.886369 | + | 0.462979i | \(0.846780\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.381767 | 0.0414085 | ||||||||
\(86\) | 7.15412 | + | 0.0178853i | 0.771449 | + | 0.00192862i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −16.6568 | + | 8.02150i | −1.77562 | + | 0.855095i | ||||
\(89\) | −0.331353 | − | 4.42159i | −0.0351233 | − | 0.468688i | −0.986839 | − | 0.161707i | \(-0.948300\pi\) |
0.951716 | − | 0.306981i | \(-0.0993189\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.594345 | + | 0.183331i | −0.0623043 | + | 0.0192183i | ||||
\(92\) | 1.59622 | + | 2.76473i | 0.166417 | + | 0.288243i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.112232 | + | 0.491721i | −0.0115759 | + | 0.0507172i | ||||
\(95\) | −1.51914 | + | 0.228974i | −0.155861 | + | 0.0234922i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.78649 | − | 3.49415i | −0.282925 | − | 0.354777i | 0.619979 | − | 0.784618i | \(-0.287141\pi\) |
−0.902905 | + | 0.429841i | \(0.858570\pi\) | |||||||
\(98\) | 6.26778 | + | 4.27330i | 0.633142 | + | 0.431669i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.192132 | − | 2.56382i | 0.0192132 | − | 0.256382i | ||||
\(101\) | 1.09407 | + | 2.78765i | 0.108864 | + | 0.277382i | 0.974916 | − | 0.222572i | \(-0.0714454\pi\) |
−0.866052 | + | 0.499954i | \(0.833350\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 8.07350 | + | 2.49034i | 0.795505 | + | 0.245381i | 0.665760 | − | 0.746166i | \(-0.268108\pi\) |
0.129746 | + | 0.991547i | \(0.458584\pi\) | |||||||
\(104\) | −7.28217 | + | 4.96490i | −0.714076 | + | 0.486848i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.32954 | − | 8.48353i | 0.323394 | − | 0.823994i | ||||
\(107\) | 5.64595 | + | 2.71894i | 0.545814 | + | 0.262850i | 0.686407 | − | 0.727217i | \(-0.259187\pi\) |
−0.140593 | + | 0.990067i | \(0.544901\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.0776988 | − | 0.197973i | 0.00744219 | − | 0.0189624i | −0.927104 | − | 0.374803i | \(-0.877710\pi\) |
0.934547 | + | 0.355841i | \(0.115805\pi\) | |||||||
\(110\) | −8.78926 | − | 1.32477i | −0.838023 | − | 0.126312i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.356561 | − | 0.109984i | −0.0336918 | − | 0.0103925i | ||||
\(113\) | −2.46387 | − | 10.7949i | −0.231781 | − | 1.01550i | −0.948161 | − | 0.317789i | \(-0.897060\pi\) |
0.716380 | − | 0.697710i | \(-0.245798\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.398009 | + | 5.31105i | −0.0371145 | + | 0.495258i | ||||
\(116\) | −4.09809 | − | 3.80247i | −0.380498 | − | 0.353051i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −5.68358 | − | 7.12699i | −0.523216 | − | 0.656093i | ||||
\(119\) | 0.0448155 | − | 0.0415827i | 0.00410823 | − | 0.00381188i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.64621 | + | 24.7377i | −0.513292 | + | 2.24888i | ||||
\(122\) | 7.32760 | − | 12.6918i | 0.663410 | − | 1.14906i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 7.65310 | − | 2.36067i | 0.687269 | − | 0.211994i | ||||
\(125\) | 6.88554 | − | 8.63419i | 0.615861 | − | 0.772265i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −7.04038 | + | 3.39047i | −0.624733 | + | 0.300855i | −0.719339 | − | 0.694659i | \(-0.755555\pi\) |
0.0946062 | + | 0.995515i | \(0.469841\pi\) | |||||||
\(128\) | −0.323224 | −0.0285692 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −4.23744 | −0.371648 | ||||||||
\(131\) | −16.1797 | + | 7.79174i | −1.41363 | + | 0.680768i | −0.975876 | − | 0.218327i | \(-0.929940\pi\) |
−0.437753 | + | 0.899095i | \(0.644226\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.153391 | + | 0.192347i | −0.0133007 | + | 0.0166786i | ||||
\(134\) | 6.56122 | − | 2.02387i | 0.566803 | − | 0.174836i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.433156 | − | 0.750248i | 0.0371428 | − | 0.0643332i | ||||
\(137\) | 2.23563 | − | 9.79494i | 0.191003 | − | 0.836839i | −0.785072 | − | 0.619404i | \(-0.787374\pi\) |
0.976075 | − | 0.217434i | \(-0.0697687\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 9.10473 | − | 8.44795i | 0.772253 | − | 0.716546i | −0.192039 | − | 0.981387i | \(-0.561510\pi\) |
0.964292 | + | 0.264841i | \(0.0853195\pi\) | |||||||
\(140\) | 0.147532 | + | 0.184999i | 0.0124687 | + | 0.0156353i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 1.18281 | + | 1.09749i | 0.0992590 | + | 0.0920989i | ||||
\(143\) | −1.29586 | + | 17.2920i | −0.108365 | + | 1.44603i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.07535 | − | 9.09271i | −0.172349 | − | 0.755109i | ||||
\(146\) | 0.855008 | + | 0.263735i | 0.0707610 | + | 0.0218269i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 6.03921 | + | 0.910264i | 0.496420 | + | 0.0748232i | ||||
\(149\) | 1.35074 | − | 3.44162i | 0.110657 | − | 0.281948i | −0.864809 | − | 0.502101i | \(-0.832560\pi\) |
0.975465 | + | 0.220153i | \(0.0706557\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 10.3773 | + | 4.99744i | 0.844492 | + | 0.406686i | 0.805530 | − | 0.592555i | \(-0.201881\pi\) |
0.0389621 | + | 0.999241i | \(0.487595\pi\) | |||||||
\(152\) | −1.27365 | + | 3.24521i | −0.103307 | + | 0.263221i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.17606 | + | 0.801827i | −0.0947699 | + | 0.0646130i | ||||
\(155\) | 12.7677 | + | 3.93831i | 1.02552 | + | 0.316332i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −7.52520 | − | 19.1739i | −0.600577 | − | 1.53024i | −0.830490 | − | 0.557033i | \(-0.811940\pi\) |
0.229914 | − | 0.973211i | \(-0.426156\pi\) | |||||||
\(158\) | −0.501897 | + | 6.69734i | −0.0399287 | + | 0.532812i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 4.74241 | + | 3.23332i | 0.374921 | + | 0.255617i | ||||
\(161\) | 0.531767 | + | 0.666815i | 0.0419091 | + | 0.0525524i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −6.83812 | + | 1.03068i | −0.535603 | + | 0.0807292i | −0.411274 | − | 0.911512i | \(-0.634916\pi\) |
−0.124329 | + | 0.992241i | \(0.539678\pi\) | |||||||
\(164\) | −0.924323 | + | 4.04972i | −0.0721775 | + | 0.316230i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.93052 | + | 6.80786i | 0.305068 | + | 0.528393i | ||||
\(167\) | −3.39723 | + | 1.04791i | −0.262886 | + | 0.0810895i | −0.423396 | − | 0.905945i | \(-0.639162\pi\) |
0.160510 | + | 0.987034i | \(0.448686\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.353715 | − | 4.72000i | −0.0272089 | − | 0.363077i | ||||
\(170\) | 0.375260 | − | 0.180716i | 0.0287811 | − | 0.0138603i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −4.78964 | + | 2.29184i | −0.365207 | + | 0.174751i | ||||
\(173\) | 24.0563 | 1.82897 | 0.914483 | − | 0.404623i | \(-0.132597\pi\) | ||||
0.914483 | + | 0.404623i | \(0.132597\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.0513297 | − | 0.684947i | −0.00388016 | − | 0.0517771i | ||||
\(176\) | −6.48614 | + | 8.13336i | −0.488911 | + | 0.613075i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −2.41874 | − | 4.18937i | −0.181292 | − | 0.314007i | ||||
\(179\) | −2.60094 | + | 4.50496i | −0.194403 | + | 0.336717i | −0.946705 | − | 0.322103i | \(-0.895610\pi\) |
0.752301 | + | 0.658819i | \(0.228944\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.74306 | − | 0.413450i | 0.203890 | − | 0.0307315i | −0.0463029 | − | 0.998927i | \(-0.514744\pi\) |
0.250193 | + | 0.968196i | \(0.419506\pi\) | |||||||
\(182\) | −0.497431 | + | 0.461549i | −0.0368721 | + | 0.0342123i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 9.98568 | + | 6.80812i | 0.736154 | + | 0.501902i | ||||
\(185\) | 7.46908 | + | 6.93029i | 0.549137 | + | 0.509525i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.622701 | − | 1.58662i | −0.0455364 | − | 0.116025i | ||||
\(188\) | −0.0832974 | − | 0.364950i | −0.00607509 | − | 0.0266167i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1.38486 | + | 0.944181i | −0.100468 | + | 0.0684981i | ||||
\(191\) | −3.41700 | − | 0.515030i | −0.247245 | − | 0.0372662i | 0.0242502 | − | 0.999706i | \(-0.492280\pi\) |
−0.271496 | + | 0.962440i | \(0.587518\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 16.4497 | + | 7.92174i | 1.18407 | + | 0.570219i | 0.919095 | − | 0.394035i | \(-0.128921\pi\) |
0.264977 | + | 0.964255i | \(0.414636\pi\) | |||||||
\(194\) | −4.39300 | − | 2.11556i | −0.315399 | − | 0.151888i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −5.56730 | − | 0.839136i | −0.397664 | − | 0.0599383i | ||||
\(197\) | −8.41116 | + | 5.73463i | −0.599270 | + | 0.408575i | −0.824607 | − | 0.565705i | \(-0.808604\pi\) |
0.225337 | + | 0.974281i | \(0.427652\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.04642 | − | 8.96595i | −0.145067 | − | 0.635579i | −0.994214 | − | 0.107422i | \(-0.965740\pi\) |
0.849147 | − | 0.528157i | \(-0.177117\pi\) | |||||||
\(200\) | −3.55592 | − | 9.06033i | −0.251441 | − | 0.640662i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 2.39500 | + | 2.22224i | 0.168512 | + | 0.156356i | ||||
\(203\) | −1.23402 | − | 0.841340i | −0.0866111 | − | 0.0590505i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −5.07998 | + | 4.71353i | −0.354801 | + | 0.329207i | ||||
\(206\) | 9.11472 | − | 1.37382i | 0.635053 | − | 0.0957188i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2.47971 | + | 4.29498i | −0.171937 | + | 0.297803i | ||||
\(209\) | 3.42949 | + | 5.94004i | 0.237222 | + | 0.410881i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −11.8825 | + | 14.9002i | −0.818025 | + | 1.02577i | 0.181080 | + | 0.983468i | \(0.442041\pi\) |
−0.999105 | + | 0.0423025i | \(0.986531\pi\) | |||||||
\(212\) | 0.505471 | + | 6.74504i | 0.0347159 | + | 0.463251i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 6.83676 | 0.467352 | ||||||||
\(215\) | −8.75595 | − | 1.34214i | −0.597151 | − | 0.0915334i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.92776 | − | 0.928360i | 0.130865 | − | 0.0630212i | ||||
\(218\) | −0.0173394 | − | 0.231379i | −0.00117437 | − | 0.0156709i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 6.30389 | − | 1.94449i | 0.425008 | − | 0.131098i | ||||
\(221\) | −0.406279 | − | 0.703696i | −0.0273293 | − | 0.0473357i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.62391 | − | 7.11481i | 0.108745 | − | 0.476443i | −0.891003 | − | 0.453997i | \(-0.849998\pi\) |
0.999748 | − | 0.0224455i | \(-0.00714523\pi\) | |||||||
\(224\) | 0.908889 | − | 0.136993i | 0.0607277 | − | 0.00915323i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −7.53181 | − | 9.44459i | −0.501008 | − | 0.628245i | ||||
\(227\) | −12.9206 | − | 8.80914i | −0.857573 | − | 0.584683i | 0.0527382 | − | 0.998608i | \(-0.483205\pi\) |
−0.910311 | + | 0.413925i | \(0.864158\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.0803517 | + | 1.07222i | −0.00530979 | + | 0.0708542i | −0.999229 | − | 0.0392558i | \(-0.987501\pi\) |
0.993919 | + | 0.110110i | \(0.0351203\pi\) | |||||||
\(230\) | 2.12285 | + | 5.40893i | 0.139976 | + | 0.356654i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −20.2237 | − | 6.23818i | −1.32775 | − | 0.409556i | ||||
\(233\) | 1.10140 | − | 0.750923i | 0.0721552 | − | 0.0491946i | −0.526705 | − | 0.850048i | \(-0.676573\pi\) |
0.598860 | + | 0.800853i | \(0.295620\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.228157 | − | 0.581334i | 0.0148833 | − | 0.0379220i | ||||
\(236\) | 6.09561 | + | 2.93549i | 0.396790 | + | 0.191084i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.0243678 | − | 0.0620881i | 0.00157953 | − | 0.00402457i | ||||
\(239\) | 14.7110 | + | 2.21733i | 0.951579 | + | 0.143427i | 0.606444 | − | 0.795126i | \(-0.292595\pi\) |
0.345134 | + | 0.938553i | \(0.387833\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 22.8421 | + | 7.04584i | 1.47139 | + | 0.453862i | 0.923796 | − | 0.382885i | \(-0.125069\pi\) |
0.547590 | + | 0.836747i | \(0.315545\pi\) | |||||||
\(242\) | 6.16000 | + | 26.9887i | 0.395980 | + | 1.73490i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.812834 | + | 10.8465i | −0.0520363 | + | 0.694377i | ||||
\(245\) | −6.88544 | − | 6.38876i | −0.439895 | − | 0.408163i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.03874 | + | 2.55650i | 0.129722 | + | 0.162666i | ||||
\(248\) | 22.2258 | − | 20.6226i | 1.41134 | − | 1.30953i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 2.68104 | − | 11.7464i | 0.169564 | − | 0.742907i | ||||
\(251\) | −10.2680 | + | 17.7846i | −0.648108 | + | 1.12256i | 0.335466 | + | 0.942052i | \(0.391106\pi\) |
−0.983574 | + | 0.180504i | \(0.942227\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 22.7218 | − | 7.00875i | 1.42851 | − | 0.440637i | ||||
\(254\) | −5.31544 | + | 6.66535i | −0.333520 | + | 0.418221i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 14.2516 | − | 6.86323i | 0.890727 | − | 0.428952i | ||||
\(257\) | 22.8388 | 1.42464 | 0.712322 | − | 0.701853i | \(-0.247644\pi\) | ||||
0.712322 | + | 0.701853i | \(0.247644\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.63165 | 0.101386 | ||||||||
\(260\) | 2.83353 | − | 1.36456i | 0.175728 | − | 0.0846261i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −12.2156 | + | 15.3179i | −0.754681 | + | 0.946340i | ||||
\(263\) | −5.88459 | + | 1.81516i | −0.362860 | + | 0.111927i | −0.470823 | − | 0.882227i | \(-0.656043\pi\) |
0.107964 | + | 0.994155i | \(0.465567\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −5.64215 | + | 9.77249i | −0.346594 | + | 0.600319i | ||||
\(266\) | −0.0597263 | + | 0.261678i | −0.00366206 | + | 0.0160445i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −3.73568 | + | 3.46621i | −0.228193 | + | 0.211732i | ||||
\(269\) | −9.36364 | − | 11.7416i | −0.570911 | − | 0.715900i | 0.409621 | − | 0.912256i | \(-0.365661\pi\) |
−0.980533 | + | 0.196355i | \(0.937089\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.26842 | − | 2.10479i | −0.137797 | − | 0.127857i | 0.608263 | − | 0.793735i | \(-0.291866\pi\) |
−0.746060 | + | 0.665878i | \(0.768057\pi\) | |||||||
\(272\) | 0.0364288 | − | 0.486108i | 0.00220882 | − | 0.0294746i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2.43907 | − | 10.6863i | −0.147349 | − | 0.645580i | ||||
\(275\) | −18.2989 | − | 5.64446i | −1.10346 | − | 0.340373i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −14.9446 | − | 2.25253i | −0.897932 | − | 0.135341i | −0.316172 | − | 0.948702i | \(-0.602398\pi\) |
−0.581760 | + | 0.813360i | \(0.697636\pi\) | |||||||
\(278\) | 4.95056 | − | 12.6138i | 0.296915 | − | 0.756527i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.807080 | + | 0.388669i | 0.0482322 | + | 0.0232274i | ||||
\(281\) | −4.07782 | + | 10.3901i | −0.243262 | + | 0.619822i | −0.999402 | − | 0.0345883i | \(-0.988988\pi\) |
0.756139 | + | 0.654411i | \(0.227083\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −13.2949 | + | 9.06431i | −0.790300 | + | 0.538818i | −0.889871 | − | 0.456213i | \(-0.849206\pi\) |
0.0995704 | + | 0.995031i | \(0.468253\pi\) | |||||||
\(284\) | −1.14435 | − | 0.352984i | −0.0679045 | − | 0.0209458i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 6.91169 | + | 17.6107i | 0.408697 | + | 1.04134i | ||||
\(287\) | −0.0829312 | + | 1.10664i | −0.00489527 | + | 0.0653229i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −13.9801 | − | 9.53145i | −0.822357 | − | 0.560674i | ||||
\(290\) | −6.34416 | − | 7.95532i | −0.372542 | − | 0.467152i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.656663 | + | 0.0989760i | −0.0384283 | + | 0.00579213i | ||||
\(293\) | −3.26781 | + | 14.3172i | −0.190908 | + | 0.836421i | 0.785219 | + | 0.619218i | \(0.212550\pi\) |
−0.976127 | + | 0.217203i | \(0.930307\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 5.64354 | + | 9.77490i | 0.328580 | + | 0.569116i | ||||
\(296\) | 22.0938 | − | 6.81505i | 1.28418 | − | 0.396117i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.301433 | − | 4.02235i | −0.0174616 | − | 0.233008i | ||||
\(299\) | 10.2132 | − | 4.91842i | 0.590645 | − | 0.284440i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.17405 | + | 0.796159i | −0.0676709 | + | 0.0458898i | ||||
\(302\) | 12.5660 | 0.723094 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.146596 | + | 1.95619i | 0.00840786 | + | 0.112195i | ||||
\(305\) | −11.3138 | + | 14.1871i | −0.647828 | + | 0.812351i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −0.0141820 | − | 0.0245640i | −0.000809410 | − | 0.00140194i | 0.865620 | − | 0.500701i | \(-0.166924\pi\) |
−0.866430 | + | 0.499299i | \(0.833591\pi\) | |||||||
\(308\) | 0.528214 | − | 0.914893i | 0.0300978 | − | 0.0521309i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 14.4143 | − | 2.17261i | 0.818677 | − | 0.123396i | ||||
\(311\) | −7.53405 | + | 6.99057i | −0.427217 | + | 0.396399i | −0.864263 | − | 0.503040i | \(-0.832215\pi\) |
0.437047 | + | 0.899439i | \(0.356024\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 14.8130 | + | 10.0994i | 0.837283 | + | 0.570850i | 0.904298 | − | 0.426902i | \(-0.140395\pi\) |
−0.0670152 | + | 0.997752i | \(0.521348\pi\) | |||||||
\(314\) | −16.4732 | − | 15.2849i | −0.929637 | − | 0.862577i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.82109 | − | 4.64006i | −0.102444 | − | 0.261024i | ||||
\(317\) | −4.83536 | − | 21.1851i | −0.271581 | − | 1.18987i | −0.908147 | − | 0.418652i | \(-0.862503\pi\) |
0.636566 | − | 0.771222i | \(-0.280354\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −34.4040 | + | 23.4563i | −1.92625 | + | 1.31330i | ||||
\(320\) | 10.8003 | + | 1.62788i | 0.603753 | + | 0.0910012i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.838350 | + | 0.403728i | 0.0467194 | + | 0.0224989i | ||||
\(323\) | −0.289575 | − | 0.139452i | −0.0161124 | − | 0.00775931i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −9.02726 | − | 1.36064i | −0.500742 | − | 0.0754747i | ||||
\(326\) | −6.23367 | + | 4.25005i | −0.345251 | + | 0.235388i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 3.49924 | + | 15.3312i | 0.193213 | + | 0.846522i | ||||
\(329\) | −0.0365366 | − | 0.0930938i | −0.00201433 | − | 0.00513243i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −9.69617 | − | 8.99673i | −0.532950 | − | 0.494505i | 0.367166 | − | 0.930155i | \(-0.380328\pi\) |
−0.900116 | + | 0.435650i | \(0.856518\pi\) | |||||||
\(332\) | −4.82059 | − | 3.28662i | −0.264564 | − | 0.180377i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −2.84328 | + | 2.63818i | −0.155577 | + | 0.144355i | ||||
\(335\) | −8.40681 | + | 1.26712i | −0.459313 | + | 0.0692303i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 4.71536 | − | 8.16725i | 0.256862 | − | 0.444898i | −0.708537 | − | 0.705673i | \(-0.750645\pi\) |
0.965400 | + | 0.260775i | \(0.0839780\pi\) | |||||||
\(338\) | −2.58197 | − | 4.47211i | −0.140441 | − | 0.243251i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.192737 | + | 0.241685i | −0.0104527 | + | 0.0131072i | ||||
\(341\) | −4.45786 | − | 59.4860i | −0.241406 | − | 3.22135i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −3.01843 | −0.162980 | ||||||||
\(344\) | −12.5721 | + | 15.6844i | −0.677844 | + | 0.845644i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 23.6462 | − | 11.3874i | 1.27123 | − | 0.612192i | ||||
\(347\) | 1.30647 | + | 17.4336i | 0.0701351 | + | 0.935887i | 0.915661 | + | 0.401952i | \(0.131668\pi\) |
−0.845526 | + | 0.533935i | \(0.820713\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 8.91802 | − | 2.75084i | 0.477370 | − | 0.147249i | −0.0467268 | − | 0.998908i | \(-0.514879\pi\) |
0.524097 | + | 0.851658i | \(0.324403\pi\) | |||||||
\(350\) | −0.374685 | − | 0.648974i | −0.0200278 | − | 0.0346891i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 5.70226 | − | 24.9832i | 0.303932 | − | 1.33161i | ||||
\(353\) | 10.2719 | − | 1.54824i | 0.546718 | − | 0.0824045i | 0.130125 | − | 0.991498i | \(-0.458462\pi\) |
0.416593 | + | 0.909093i | \(0.363224\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.24565 | − | 1.56200i | −0.0661124 | − | 0.0829024i | ||||
\(356\) | 2.96646 | + | 2.02250i | 0.157222 | + | 0.107192i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.424111 | + | 5.65937i | −0.0224150 | + | 0.299107i | ||||
\(359\) | −3.94742 | − | 10.0579i | −0.208337 | − | 0.530834i | 0.788065 | − | 0.615593i | \(-0.211083\pi\) |
−0.996402 | + | 0.0847587i | \(0.972988\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −16.9200 | − | 5.21912i | −0.890524 | − | 0.274690i | ||||
\(362\) | 2.50059 | − | 1.70487i | 0.131428 | − | 0.0896062i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.183997 | − | 0.468817i | 0.00964407 | − | 0.0245727i | ||||
\(365\) | −0.998170 | − | 0.480694i | −0.0522466 | − | 0.0251606i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 7.07784 | − | 18.0340i | 0.369460 | − | 0.941369i | −0.618377 | − | 0.785881i | \(-0.712210\pi\) |
0.987838 | − | 0.155488i | \(-0.0496951\pi\) | |||||||
\(368\) | 6.72464 | + | 1.01358i | 0.350546 | + | 0.0528363i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 10.6223 | + | 3.27655i | 0.552228 | + | 0.170340i | ||||
\(371\) | 0.402106 | + | 1.76174i | 0.0208763 | + | 0.0914651i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2.56665 | − | 34.2496i | 0.132896 | − | 1.77338i | −0.389841 | − | 0.920882i | \(-0.627470\pi\) |
0.522737 | − | 0.852494i | \(-0.324911\pi\) | |||||||
\(374\) | −1.36314 | − | 1.26481i | −0.0704861 | − | 0.0654016i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.883567 | − | 1.10796i | −0.0455665 | − | 0.0571386i | ||||
\(377\) | −14.5516 | + | 13.5019i | −0.749447 | + | 0.695385i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −0.574248 | + | 2.51594i | −0.0294971 | + | 0.129235i | −0.987533 | − | 0.157414i | \(-0.949684\pi\) |
0.958036 | + | 0.286649i | \(0.0925414\pi\) | |||||||
\(380\) | 0.621991 | − | 1.07732i | 0.0319075 | − | 0.0552654i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −3.60255 | + | 1.11124i | −0.184323 | + | 0.0568560i | ||||
\(383\) | −8.92040 | + | 11.1858i | −0.455811 | + | 0.571569i | −0.955633 | − | 0.294559i | \(-0.904827\pi\) |
0.499822 | + | 0.866128i | \(0.333399\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.58790 | − | 0.764693i | 0.0809270 | − | 0.0389724i | ||||
\(386\) | 19.9191 | 1.01386 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 3.61881 | 0.183717 | ||||||||
\(389\) | −14.2240 | + | 6.84991i | −0.721185 | + | 0.347304i | −0.758210 | − | 0.652010i | \(-0.773926\pi\) |
0.0370254 | + | 0.999314i | \(0.488212\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.694706 | + | 0.871133i | −0.0351328 | + | 0.0440551i | ||||
\(392\) | −20.3674 | + | 6.28252i | −1.02871 | + | 0.317315i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −5.55321 | + | 9.61843i | −0.279766 | + | 0.484570i | ||||
\(395\) | 1.85045 | − | 8.10736i | 0.0931064 | − | 0.407926i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 21.3361 | − | 19.7970i | 1.07083 | − | 0.993585i | 0.0708372 | − | 0.997488i | \(-0.477433\pi\) |
0.999992 | + | 0.00390325i | \(0.00124245\pi\) | |||||||
\(398\) | −6.25571 | − | 7.84441i | −0.313570 | − | 0.393205i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.01479 | − | 3.72518i | −0.200740 | − | 0.186259i | ||||
\(401\) | −1.06942 | + | 14.2704i | −0.0534043 | + | 0.712631i | 0.904670 | + | 0.426112i | \(0.140117\pi\) |
−0.958075 | + | 0.286519i | \(0.907502\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −6.32812 | − | 27.7253i | −0.315226 | − | 1.38110i | ||||
\(404\) | −2.31712 | − | 0.714738i | −0.115281 | − | 0.0355596i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −1.61125 | − | 0.242856i | −0.0799648 | − | 0.0120527i | ||||
\(407\) | 16.6193 | − | 42.3453i | 0.823789 | − | 2.09898i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −27.4363 | − | 13.2126i | −1.35664 | − | 0.653322i | −0.392754 | − | 0.919644i | \(-0.628478\pi\) |
−0.963884 | + | 0.266321i | \(0.914192\pi\) | |||||||
\(410\) | −2.76216 | + | 7.03787i | −0.136413 | + | 0.347576i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −5.65251 | + | 3.85382i | −0.278479 | + | 0.189864i | ||||
\(413\) | 1.72719 | + | 0.532768i | 0.0849895 | + | 0.0262158i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3.55604 | − | 9.06065i | −0.174559 | − | 0.444770i | ||||
\(416\) | 0.912946 | − | 12.1824i | 0.0447608 | − | 0.597292i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 6.18284 | + | 4.21539i | 0.302413 | + | 0.206181i | ||||
\(419\) | −22.1749 | − | 27.8065i | −1.08332 | − | 1.35844i | −0.928858 | − | 0.370437i | \(-0.879208\pi\) |
−0.154459 | − | 0.987999i | \(-0.549363\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −16.3130 | + | 2.45879i | −0.795047 | + | 0.119834i | −0.533992 | − | 0.845490i | \(-0.679309\pi\) |
−0.261056 | + | 0.965324i | \(0.584071\pi\) | |||||||
\(422\) | −4.62672 | + | 20.2710i | −0.225225 | + | 0.986775i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 12.8032 | + | 22.1759i | 0.621780 | + | 1.07696i | ||||
\(425\) | 0.857465 | − | 0.264493i | 0.0415932 | − | 0.0128298i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.217156 | + | 2.89774i | 0.0105089 | + | 0.140231i | ||||
\(428\) | −4.57167 | + | 2.20160i | −0.220980 | + | 0.106418i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −9.24202 | + | 2.82550i | −0.445690 | + | 0.136258i | ||||
\(431\) | 9.05750 | 0.436285 | 0.218142 | − | 0.975917i | \(-0.430000\pi\) | ||||
0.218142 | + | 0.975917i | \(0.430000\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 1.29146 | + | 17.2334i | 0.0620638 | + | 0.828184i | 0.938194 | + | 0.346110i | \(0.112497\pi\) |
−0.876130 | + | 0.482074i | \(0.839884\pi\) | |||||||
\(434\) | 1.45545 | − | 1.82507i | 0.0698636 | − | 0.0876062i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.0861040 | + | 0.149137i | 0.00412364 | + | 0.00714235i | ||||
\(437\) | 2.24191 | − | 3.88311i | 0.107245 | − | 0.185754i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −18.2692 | + | 2.75364i | −0.871943 | + | 0.131424i | −0.569745 | − | 0.821821i | \(-0.692958\pi\) |
−0.302197 | + | 0.953245i | \(0.597720\pi\) | |||||||
\(440\) | 18.3075 | − | 16.9869i | 0.872775 | − | 0.809817i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.732459 | − | 0.499382i | −0.0348395 | − | 0.0237532i | ||||
\(443\) | −6.55737 | − | 6.08435i | −0.311550 | − | 0.289076i | 0.508863 | − | 0.860848i | \(-0.330066\pi\) |
−0.820413 | + | 0.571771i | \(0.806256\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2.18829 | + | 5.57568i | 0.103735 | + | 0.264313i | ||||
\(446\) | −1.77168 | − | 7.76223i | −0.0838914 | − | 0.367552i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.44515 | − | 0.985287i | 0.0682770 | − | 0.0465504i | ||||
\(449\) | −20.0461 | − | 3.02146i | −0.946032 | − | 0.142591i | −0.342132 | − | 0.939652i | \(-0.611149\pi\) |
−0.603900 | + | 0.797060i | \(0.706387\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 27.8753 | + | 13.4240i | 1.31260 | + | 0.632113i | ||||
\(452\) | 8.07782 | + | 3.89007i | 0.379949 | + | 0.182974i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −16.8703 | − | 2.54279i | −0.791764 | − | 0.119339i | ||||
\(455\) | 0.694213 | − | 0.473306i | 0.0325452 | − | 0.0221889i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.39474 | + | 10.4921i | 0.112021 | + | 0.490797i | 0.999549 | + | 0.0300423i | \(0.00956421\pi\) |
−0.887527 | + | 0.460755i | \(0.847579\pi\) | |||||||
\(458\) | 0.428570 | + | 1.09198i | 0.0200257 | + | 0.0510248i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −3.16133 | − | 2.93328i | −0.147398 | − | 0.136765i | ||||
\(461\) | 7.03749 | + | 4.79808i | 0.327769 | + | 0.223469i | 0.716012 | − | 0.698088i | \(-0.245966\pi\) |
−0.388243 | + | 0.921557i | \(0.626918\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 1.66719 | − | 1.54693i | 0.0774811 | − | 0.0718919i | −0.640482 | − | 0.767973i | \(-0.721265\pi\) |
0.717963 | + | 0.696082i | \(0.245075\pi\) | |||||||
\(464\) | −11.7759 | + | 1.77493i | −0.546681 | + | 0.0823989i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.727166 | − | 1.25949i | 0.0336853 | − | 0.0583447i | ||||
\(467\) | −15.1256 | − | 26.1983i | −0.699930 | − | 1.21231i | −0.968490 | − | 0.249052i | \(-0.919881\pi\) |
0.268560 | − | 0.963263i | \(-0.413452\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.848855 | + | 1.06443i | −0.0391965 | + | 0.0491509i | ||||
\(470\) | −0.0509160 | − | 0.679426i | −0.00234858 | − | 0.0313396i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 25.6128 | 1.17892 | ||||||||
\(473\) | 8.70393 | + | 38.5787i | 0.400207 | + | 1.77385i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −3.25342 | + | 1.56676i | −0.149277 | + | 0.0718881i | ||||
\(476\) | 0.00369937 | + | 0.0493646i | 0.000169560 | + | 0.00226262i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 15.5099 | − | 4.78417i | 0.709406 | − | 0.218823i | ||||
\(479\) | 6.78977 | + | 11.7602i | 0.310233 | + | 0.537338i | 0.978413 | − | 0.206661i | \(-0.0662598\pi\) |
−0.668180 | + | 0.744000i | \(0.732926\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.82568 | − | 21.1427i | 0.220032 | − | 0.964024i | ||||
\(482\) | 25.7880 | − | 3.88691i | 1.17461 | − | 0.177044i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −12.8101 | − | 16.0634i | −0.582279 | − | 0.730154i | ||||
\(485\) | 4.98822 | + | 3.40091i | 0.226504 | + | 0.154428i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −2.78410 | + | 37.1512i | −0.126159 | + | 1.68348i | 0.471605 | + | 0.881810i | \(0.343675\pi\) |
−0.597765 | + | 0.801672i | \(0.703944\pi\) | |||||||
\(488\) | 15.0437 | + | 38.3307i | 0.680996 | + | 1.73515i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −9.79229 | − | 3.02052i | −0.442371 | − | 0.136453i | ||||
\(491\) | −16.9652 | + | 11.5667i | −0.765629 | + | 0.521997i | −0.882023 | − | 0.471206i | \(-0.843819\pi\) |
0.116394 | + | 0.993203i | \(0.462866\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.712843 | − | 1.81629i | 0.0321048 | − | 0.0818018i | ||||
\(494\) | 3.21414 | + | 1.54785i | 0.144611 | + | 0.0696411i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 6.23299 | − | 15.8814i | 0.279870 | − | 0.713096i | ||||
\(497\) | −0.316363 | − | 0.0476840i | −0.0141908 | − | 0.00213892i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 6.66084 | + | 2.05460i | 0.298180 | + | 0.0919763i | 0.440235 | − | 0.897882i | \(-0.354895\pi\) |
−0.142056 | + | 0.989859i | \(0.545371\pi\) | |||||||
\(500\) | 1.98984 | + | 8.71804i | 0.0889882 | + | 0.389883i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −1.67430 | + | 22.3420i | −0.0747277 | + | 0.997172i | ||||
\(503\) | 9.51112 | + | 8.82503i | 0.424080 | + | 0.393488i | 0.863136 | − | 0.504971i | \(-0.168497\pi\) |
−0.439057 | + | 0.898459i | \(0.644687\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.52226 | − | 3.16281i | −0.112239 | − | 0.140743i | ||||
\(506\) | 19.0168 | − | 17.6450i | 0.845400 | − | 0.784417i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 1.40798 | − | 6.16874i | 0.0624688 | − | 0.273694i | ||||
\(509\) | 14.9031 | − | 25.8129i | 0.660568 | − | 1.14414i | −0.319898 | − | 0.947452i | \(-0.603649\pi\) |
0.980467 | − | 0.196686i | \(-0.0630179\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.169533 | + | 0.0522939i | −0.00749969 | + | 0.00231335i | ||||
\(512\) | 11.1629 | − | 13.9979i | 0.493337 | − | 0.618625i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 22.4495 | − | 10.8111i | 0.990204 | − | 0.476857i | ||||
\(515\) | −11.4133 | −0.502929 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −2.78816 | −0.122623 | ||||||||
\(518\) | 1.60384 | − | 0.772368i | 0.0704686 | − | 0.0339359i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 7.42329 | − | 9.30852i | 0.325533 | − | 0.408205i | ||||
\(521\) | 29.7906 | − | 9.18917i | 1.30515 | − | 0.402585i | 0.437256 | − | 0.899337i | \(-0.355950\pi\) |
0.867892 | + | 0.496752i | \(0.165474\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −6.95091 | + | 12.0393i | −0.303942 | + | 0.526443i | −0.977025 | − | 0.213124i | \(-0.931636\pi\) |
0.673083 | + | 0.739567i | \(0.264970\pi\) | |||||||
\(524\) | 3.23571 | − | 14.1766i | 0.141353 | − | 0.619307i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −4.92505 | + | 4.56978i | −0.214742 | + | 0.199252i | ||||
\(527\) | 1.74282 | + | 2.18542i | 0.0759183 | + | 0.0951986i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 5.46546 | + | 5.07120i | 0.237629 | + | 0.220487i | ||||
\(530\) | −0.920012 | + | 12.2767i | −0.0399628 | + | 0.533266i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.0443282 | − | 0.194215i | −0.00192187 | − | 0.00842027i | ||||
\(533\) | 14.0944 | + | 4.34755i | 0.610496 | + | 0.188313i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −8.37069 | − | 1.26168i | −0.361896 | − | 0.0545471i | ||||
\(536\) | −7.04828 | + | 17.9587i | −0.304439 | + | 0.775699i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −14.7621 | − | 7.10906i | −0.636440 | − | 0.306493i | ||||
\(539\) | −15.3207 | + | 39.0365i | −0.659908 | + | 1.68142i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −17.1344 | + | 11.6820i | −0.736664 | + | 0.502249i | −0.872580 | − | 0.488472i | \(-0.837555\pi\) |
0.135916 | + | 0.990720i | \(0.456602\pi\) | |||||||
\(542\) | −3.22609 | − | 0.995118i | −0.138573 | − | 0.0427440i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.438699 | + | 1.11779i | 0.0188091 | + | 0.0479247i | ||||
\(545\) | −0.0214696 | + | 0.286491i | −0.000919655 | + | 0.0122719i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 16.9135 | + | 11.5314i | 0.723169 | + | 0.493049i | 0.868098 | − | 0.496394i | \(-0.165343\pi\) |
−0.144928 | + | 0.989442i | \(0.546295\pi\) | |||||||
\(548\) | 5.07220 | + | 6.36034i | 0.216674 | + | 0.271700i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −20.6589 | + | 3.11382i | −0.880896 | + | 0.132774i | ||||
\(551\) | −1.74721 | + | 7.65501i | −0.0744335 | + | 0.326114i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.665844 | − | 1.15328i | −0.0283146 | − | 0.0490423i | ||||
\(554\) | −15.7561 | + | 4.86011i | −0.669413 | + | 0.206486i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.751563 | + | 10.0289i | 0.0318734 | + | 0.425321i | ||||
\(557\) | −15.3932 | + | 7.41296i | −0.652229 | + | 0.314097i | −0.730578 | − | 0.682829i | \(-0.760749\pi\) |
0.0783489 | + | 0.996926i | \(0.475035\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 6.84422 | + | 17.5678i | 0.289480 | + | 0.743039i | ||||
\(560\) | 0.504059 | 0.0213004 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.910015 | + | 12.1433i | 0.0383867 | + | 0.512235i | ||||
\(563\) | 7.02348 | − | 8.80717i | 0.296004 | − | 0.371178i | −0.611483 | − | 0.791258i | \(-0.709427\pi\) |
0.907487 | + | 0.420080i | \(0.137998\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 7.47874 | + | 12.9536i | 0.314633 | + | 0.544960i | ||||
\(566\) | −8.77755 | + | 15.2032i | −0.368948 | + | 0.639037i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −4.48296 | + | 0.675698i | −0.188101 | + | 0.0283517i | ||||
\(569\) | −5.89078 | + | 5.46585i | −0.246955 | + | 0.229140i | −0.793931 | − | 0.608007i | \(-0.791969\pi\) |
0.546977 | + | 0.837148i | \(0.315779\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −24.0538 | − | 16.3996i | −1.00662 | − | 0.686302i | −0.0565700 | − | 0.998399i | \(-0.518016\pi\) |
−0.950050 | + | 0.312096i | \(0.898969\pi\) | |||||||
\(572\) | −10.2928 | − | 9.55035i | −0.430365 | − | 0.399320i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.442328 | + | 1.12703i | 0.0184624 | + | 0.0470414i | ||||
\(575\) | 2.78562 | + | 12.2046i | 0.116168 | + | 0.508967i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −5.93710 | + | 4.04784i | −0.247165 | + | 0.168514i | −0.680565 | − | 0.732687i | \(-0.738266\pi\) |
0.433401 | + | 0.901201i | \(0.357313\pi\) | |||||||
\(578\) | −18.2536 | − | 2.75129i | −0.759251 | − | 0.114439i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 6.80407 | + | 3.27667i | 0.282523 | + | 0.136056i | ||||
\(581\) | −1.40434 | − | 0.676297i | −0.0582620 | − | 0.0280575i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 49.8172 | + | 7.50873i | 2.06322 | + | 0.310980i | ||||
\(584\) | −2.07719 | + | 1.41620i | −0.0859547 | + | 0.0586029i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 3.56517 | + | 15.6200i | 0.147276 | + | 0.645258i | ||||
\(587\) | 10.8541 | + | 27.6558i | 0.447997 | + | 1.14148i | 0.959378 | + | 0.282123i | \(0.0910387\pi\) |
−0.511381 | + | 0.859354i | \(0.670866\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −8.24584 | − | 7.65102i | −0.339764 | − | 0.315255i | ||||
\(590\) | 10.1744 | + | 6.93682i | 0.418875 | + | 0.285584i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 9.53712 | − | 8.84915i | 0.391973 | − | 0.363698i | ||||
\(593\) | 31.8484 | − | 4.80037i | 1.30786 | − | 0.197127i | 0.542130 | − | 0.840295i | \(-0.317618\pi\) |
0.765726 | + | 0.643167i | \(0.222380\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.0412930 | + | 0.0715215i | −0.00169285 | + | 0.00293210i | ||||
\(596\) | 1.49686 | + | 2.59263i | 0.0613136 | + | 0.106198i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 7.71091 | − | 9.66917i | 0.315322 | − | 0.395402i | ||||
\(599\) | 1.13778 | + | 15.1826i | 0.0464885 | + | 0.620346i | 0.970983 | + | 0.239150i | \(0.0768687\pi\) |
−0.924494 | + | 0.381196i | \(0.875512\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −14.8489 | −0.605699 | −0.302849 | − | 0.953038i | \(-0.597938\pi\) | ||||
−0.302849 | + | 0.953038i | \(0.597938\pi\) | |||||||
\(602\) | −0.777159 | + | 1.33834i | −0.0316747 | + | 0.0545467i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −8.40276 | + | 4.04656i | −0.341904 | + | 0.164652i | ||||
\(605\) | −2.56150 | − | 34.1808i | −0.104140 | − | 1.38965i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −8.93135 | + | 2.75496i | −0.362512 | + | 0.111820i | −0.470660 | − | 0.882315i | \(-0.655984\pi\) |
0.108148 | + | 0.994135i | \(0.465508\pi\) | |||||||
\(608\) | −2.41611 | − | 4.18482i | −0.0979860 | − | 0.169717i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −4.40529 | + | 19.3009i | −0.178365 | + | 0.781469i | ||||
\(611\) | −1.31435 | + | 0.198107i | −0.0531731 | + | 0.00801455i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 19.2070 | + | 24.0849i | 0.775765 | + | 0.972779i | 0.999998 | − | 0.00175653i | \(-0.000559122\pi\) |
−0.224233 | + | 0.974536i | \(0.571988\pi\) | |||||||
\(614\) | −0.0255680 | − | 0.0174320i | −0.00103184 | − | 0.000703497i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.298872 | − | 3.98817i | 0.0120419 | − | 0.160688i | ||||
\(617\) | 1.40309 | + | 3.57502i | 0.0564864 | + | 0.143925i | 0.956331 | − | 0.292285i | \(-0.0944156\pi\) |
−0.899845 | + | 0.436210i | \(0.856320\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 32.6404 | + | 10.0682i | 1.31193 | + | 0.404676i | 0.870300 | − | 0.492521i | \(-0.163925\pi\) |
0.441629 | + | 0.897198i | \(0.354401\pi\) | |||||||
\(620\) | −8.93905 | + | 6.09454i | −0.359001 | + | 0.244763i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −4.09653 | + | 10.4378i | −0.164256 | + | 0.418517i | ||||
\(623\) | 0.864195 | + | 0.416175i | 0.0346233 | + | 0.0166737i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.349803 | − | 0.891285i | 0.0139921 | − | 0.0356514i | ||||
\(626\) | 19.3412 | + | 2.91522i | 0.773031 | + | 0.116516i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 15.9375 | + | 4.91608i | 0.635977 | + | 0.196173i | ||||
\(629\) | 0.474327 | + | 2.07816i | 0.0189126 | + | 0.0828617i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −0.687936 | + | 9.17986i | −0.0273863 | + | 0.365445i | 0.966627 | + | 0.256187i | \(0.0824663\pi\) |
−0.994013 | + | 0.109257i | \(0.965153\pi\) | |||||||
\(632\) | −13.8330 | − | 12.8352i | −0.550248 | − | 0.510556i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −14.7812 | − | 18.5351i | −0.587038 | − | 0.736123i | ||||
\(635\) | 7.73808 | − | 7.17989i | 0.307076 | − | 0.284925i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.44860 | + | 19.4906i | −0.176260 | + | 0.772246i | ||||
\(638\) | −22.7142 | + | 39.3421i | −0.899263 | + | 1.55757i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.417233 | − | 0.128699i | 0.0164926 | − | 0.00508729i | ||||
\(641\) | −2.10948 | + | 2.64521i | −0.0833196 | + | 0.104479i | −0.821744 | − | 0.569857i | \(-0.806999\pi\) |
0.738424 | + | 0.674336i | \(0.235570\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −10.1874 | + | 4.90598i | −0.401751 | + | 0.193473i | −0.623838 | − | 0.781554i | \(-0.714427\pi\) |
0.222087 | + | 0.975027i | \(0.428713\pi\) | |||||||
\(644\) | −0.690605 | −0.0272137 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.350651 | −0.0137962 | ||||||||
\(647\) | −20.4890 | + | 9.86700i | −0.805507 | + | 0.387912i | −0.790873 | − | 0.611981i | \(-0.790373\pi\) |
−0.0146350 | + | 0.999893i | \(0.504659\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 31.4191 | − | 39.3983i | 1.23331 | − | 1.54652i | ||||
\(650\) | −9.51746 | + | 2.93575i | −0.373306 | + | 0.115150i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 2.79977 | − | 4.84935i | 0.109648 | − | 0.189915i | ||||
\(653\) | 5.74350 | − | 25.1639i | 0.224760 | − | 0.984739i | −0.729081 | − | 0.684428i | \(-0.760052\pi\) |
0.953841 | − | 0.300312i | \(-0.0970907\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 17.7831 | − | 16.5003i | 0.694844 | − | 0.644721i | ||||
\(656\) | 5.51705 | + | 6.91816i | 0.215404 | + | 0.270109i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −0.0799813 | − | 0.0742118i | −0.00311799 | − | 0.00289308i | ||||
\(659\) | −0.761704 | + | 10.1642i | −0.0296718 | + | 0.395942i | 0.962519 | + | 0.271214i | \(0.0874251\pi\) |
−0.992191 | + | 0.124729i | \(0.960194\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2.96298 | + | 12.9817i | 0.115247 | + | 0.504928i | 0.999295 | + | 0.0375336i | \(0.0119501\pi\) |
−0.884049 | + | 0.467395i | \(0.845193\pi\) | |||||||
\(662\) | −13.7896 | − | 4.25354i | −0.535949 | − | 0.165318i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −21.8407 | − | 3.29195i | −0.847583 | − | 0.127753i | ||||
\(665\) | 0.121418 | − | 0.309367i | 0.00470838 | − | 0.0119967i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 24.5247 | + | 11.8105i | 0.949600 | + | 0.457303i | ||||
\(668\) | 1.05171 | − | 2.67972i | 0.0406920 | − | 0.103682i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −7.66370 | + | 5.22502i | −0.296075 | + | 0.201860i | ||||
\(671\) | 77.4153 | + | 23.8795i | 2.98858 | + | 0.921856i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −2.30694 | − | 5.87798i | −0.0889259 | − | 0.226579i | 0.879491 | − | 0.475915i | \(-0.157883\pi\) |
−0.968417 | + | 0.249336i | \(0.919788\pi\) | |||||||
\(674\) | 0.768890 | − | 10.2601i | 0.0296165 | − | 0.395205i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.16666 | + | 2.15899i | 0.121795 | + | 0.0830382i | ||||
\(677\) | 16.2431 | + | 20.3682i | 0.624273 | + | 0.782814i | 0.988939 | − | 0.148325i | \(-0.0473881\pi\) |
−0.364666 | + | 0.931139i | \(0.618817\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.955999 | − | 0.144094i | 0.0366879 | − | 0.00552981i | ||||
\(680\) | −0.260410 | + | 1.14093i | −0.00998625 | + | 0.0437526i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −32.5405 | − | 56.3618i | −1.24604 | − | 2.15820i | ||||
\(683\) | 47.0692 | − | 14.5189i | 1.80105 | − | 0.555551i | 0.801930 | − | 0.597418i | \(-0.203807\pi\) |
0.999123 | + | 0.0418665i | \(0.0133304\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.01423 | + | 13.5340i | 0.0387518 | + | 0.517107i | ||||
\(686\) | −2.96698 | + | 1.42882i | −0.113280 | + | 0.0545527i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −2.54447 | + | 11.0210i | −0.0970070 | + | 0.420171i | ||||
\(689\) | 24.0176 | 0.914999 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −3.68891 | − | 49.2251i | −0.140333 | − | 1.87261i | −0.413311 | − | 0.910590i | \(-0.635628\pi\) |
0.272978 | − | 0.962020i | \(-0.411991\pi\) | |||||||
\(692\) | −12.1450 | + | 15.2293i | −0.461682 | + | 0.578931i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 9.53670 | + | 16.5180i | 0.362008 | + | 0.627016i | ||||
\(695\) | −8.38908 | + | 14.5303i | −0.318216 | + | 0.551166i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.43359 | + | 0.216078i | −0.0543009 | + | 0.00818455i | ||||
\(698\) | 7.46385 | − | 6.92544i | 0.282511 | − | 0.262132i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.459533 | + | 0.313304i | 0.0173687 | + | 0.0118418i | ||||
\(701\) | −12.8277 | − | 11.9024i | −0.484495 | − | 0.449546i | 0.399712 | − | 0.916641i | \(-0.369110\pi\) |
−0.884207 | + | 0.467095i | \(0.845301\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −3.13388 | − | 7.98500i | −0.118197 | − | 0.301160i | ||||
\(704\) | −10.8509 | − | 47.5409i | −0.408959 | − | 1.79177i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 9.36392 | − | 6.38421i | 0.352416 | − | 0.240273i | ||||
\(707\) | −0.640585 | − | 0.0965527i | −0.0240917 | − | 0.00363124i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −28.7314 | − | 13.8363i | −1.07903 | − | 0.519634i | −0.192025 | − | 0.981390i | \(-0.561505\pi\) |
−0.887007 | + | 0.461756i | \(0.847220\pi\) | |||||||
\(710\) | −1.96382 | − | 0.945725i | −0.0737008 | − | 0.0354924i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 13.4402 | + | 2.02578i | 0.503691 | + | 0.0759192i | ||||
\(713\) | −32.2201 | + | 21.9673i | −1.20665 | + | 0.822680i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.21249 | − | 22.8374i | −0.194936 | − | 0.854071i | ||||
\(716\) | −1.53885 | − | 3.92093i | −0.0575096 | − | 0.146532i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −8.64119 | − | 8.01785i | −0.322486 | − | 0.299224i | ||||
\(719\) | −35.7184 | − | 24.3524i | −1.33207 | − | 0.908190i | −0.332677 | − | 0.943041i | \(-0.607952\pi\) |
−0.999393 | + | 0.0348509i | \(0.988904\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −1.33980 | + | 1.24315i | −0.0498968 | + | 0.0462974i | ||||
\(722\) | −19.1021 | + | 2.87918i | −0.710906 | + | 0.107152i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −1.12311 | + | 1.94528i | −0.0417400 | + | 0.0722958i | ||||
\(725\) | −10.9609 | − | 18.9848i | −0.407076 | − | 0.705077i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −2.61281 | + | 3.27636i | −0.0969039 | + | 0.121514i | −0.827919 | − | 0.560848i | \(-0.810475\pi\) |
0.731015 | + | 0.682361i | \(0.239047\pi\) | |||||||
\(728\) | −0.142481 | − | 1.90128i | −0.00528071 | − | 0.0704662i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −1.20870 | −0.0447360 | ||||||||
\(731\) | −1.35533 | − | 1.26388i | −0.0501288 | − | 0.0467464i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −44.3364 | + | 21.3513i | −1.63760 | + | 0.788629i | −0.637773 | + | 0.770224i | \(0.720144\pi\) |
−0.999831 | + | 0.0184045i | \(0.994141\pi\) | |||||||
\(734\) | −1.57951 | − | 21.0771i | −0.0583007 | − | 0.777968i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −16.0077 | + | 4.93774i | −0.590053 | + | 0.182007i | ||||
\(737\) | 18.9785 | + | 32.8717i | 0.699082 | + | 1.21085i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 0.558133 | − | 2.44534i | 0.0205313 | − | 0.0899533i | −0.963624 | − | 0.267261i | \(-0.913882\pi\) |
0.984156 | + | 0.177307i | \(0.0567387\pi\) | |||||||
\(740\) | −8.15815 | + | 1.22964i | −0.299900 | + | 0.0452026i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1.22920 | + | 1.54137i | 0.0451254 | + | 0.0565854i | ||||
\(743\) | −14.7210 | − | 10.0366i | −0.540059 | − | 0.368206i | 0.262357 | − | 0.964971i | \(-0.415500\pi\) |
−0.802416 | + | 0.596765i | \(0.796453\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.373233 | + | 4.98044i | −0.0136742 | + | 0.182469i | ||||
\(746\) | −13.6897 | − | 34.8807i | −0.501215 | − | 1.27707i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 1.31881 | + | 0.406800i | 0.0482205 | + | 0.0148741i | ||||
\(749\) | −1.12006 | + | 0.763641i | −0.0409260 | + | 0.0279028i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 14.1468 | − | 36.0454i | 0.516223 | − | 1.31532i | −0.400684 | − | 0.916216i | \(-0.631228\pi\) |
0.916908 | − | 0.399099i | \(-0.130677\pi\) | |||||||
\(752\) | −0.718447 | − | 0.345986i | −0.0261991 | − | 0.0126168i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −7.91223 | + | 20.1600i | −0.288146 | + | 0.734185i | ||||
\(755\) | −15.3854 | − | 2.31897i | −0.559932 | − | 0.0843961i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 29.5522 | + | 9.11563i | 1.07409 | + | 0.331313i | 0.780846 | − | 0.624724i | \(-0.214788\pi\) |
0.293246 | + | 0.956037i | \(0.405265\pi\) | |||||||
\(758\) | 0.626503 | + | 2.74489i | 0.0227556 | + | 0.0996988i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.351933 | − | 4.69621i | 0.0127659 | − | 0.170350i | ||||
\(761\) | −31.4994 | − | 29.2271i | −1.14185 | − | 1.05948i | −0.997551 | − | 0.0699487i | \(-0.977716\pi\) |
−0.144300 | − | 0.989534i | \(-0.546093\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.0286848 | + | 0.0359696i | 0.00103846 | + | 0.00130219i | ||||
\(764\) | 2.05114 | − | 1.90318i | 0.0742077 | − | 0.0688546i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −3.47336 | + | 15.2178i | −0.125498 | + | 0.549841i | ||||
\(767\) | 12.0118 | − | 20.8050i | 0.433720 | − | 0.751225i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 11.0134 | − | 3.39717i | 0.397152 | − | 0.122505i | −0.0897448 | − | 0.995965i | \(-0.528605\pi\) |
0.486896 | + | 0.873460i | \(0.338129\pi\) | |||||||
\(770\) | 1.19886 | − | 1.50332i | 0.0432038 | − | 0.0541758i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −13.3197 | + | 6.41443i | −0.479387 | + | 0.230861i | ||||
\(773\) | 24.2393 | 0.871828 | 0.435914 | − | 0.899988i | \(-0.356425\pi\) | ||||
0.435914 | + | 0.899988i | \(0.356425\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 31.4052 | 1.12811 | ||||||||
\(776\) | 12.3431 | − | 5.94414i | 0.443093 | − | 0.213382i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −10.7390 | + | 13.4663i | −0.385013 | + | 0.482790i | ||||
\(779\) | 5.57498 | − | 1.71965i | 0.199744 | − | 0.0616130i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −4.45985 | + | 7.72469i | −0.159586 | + | 0.276411i | ||||
\(782\) | −0.270499 | + | 1.18513i | −0.00967303 | + | 0.0423803i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −8.79188 | + | 8.15768i | −0.313996 | + | 0.291346i | ||||
\(785\) | 17.3485 | + | 21.7543i | 0.619194 | + | 0.776444i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −7.37365 | − | 6.84175i | −0.262842 | − | 0.243882i | 0.537732 | − | 0.843116i | \(-0.319281\pi\) |
−0.800574 | + | 0.599234i | \(0.795472\pi\) | |||||||
\(788\) | 0.616004 | − | 8.22000i | 0.0219442 | − | 0.292825i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −2.01884 | − | 8.84511i | −0.0718271 | − | 0.314695i | ||||
\(791\) | 2.28885 | + | 0.706017i | 0.0813821 | + | 0.0251031i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 38.1907 | + | 5.75633i | 1.35619 | + | 0.204413i | ||||
\(794\) | 11.6012 | − | 29.5594i | 0.411711 | − | 1.04902i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 6.70921 | + | 3.23098i | 0.237802 | + | 0.114519i | ||||
\(797\) | 14.9088 | − | 37.9869i | 0.528096 | − | 1.34557i | −0.379294 | − | 0.925276i | \(-0.623833\pi\) |
0.907390 | − | 0.420290i | \(-0.138072\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.107948 | − | 0.0735978i | 0.00381893 | − | 0.00260370i | ||||
\(800\) | 12.8917 | + | 3.97657i | 0.455792 | + | 0.140593i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 5.70394 | + | 14.5334i | 0.201413 | + | 0.513192i | ||||
\(803\) | −0.369635 | + | 4.93243i | −0.0130441 | + | 0.174062i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.951940 | − | 0.649022i | −0.0335515 | − | 0.0228750i | ||||
\(806\) | −19.3445 | − | 24.2572i | −0.681380 | − | 0.854423i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −9.07731 | + | 1.36818i | −0.319339 | + | 0.0481326i | ||||
\(809\) | −10.4359 | + | 45.7228i | −0.366908 | + | 1.60753i | 0.368313 | + | 0.929702i | \(0.379935\pi\) |
−0.735221 | + | 0.677827i | \(0.762922\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −17.1357 | − | 29.6798i | −0.601714 | − | 1.04220i | −0.992562 | − | 0.121744i | \(-0.961151\pi\) |
0.390847 | − | 0.920456i | \(-0.372182\pi\) | |||||||
\(812\) | 1.15563 | − | 0.356464i | 0.0405546 | − | 0.0125094i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −3.70880 | − | 49.4905i | −0.129993 | − | 1.73464i | ||||
\(815\) | 8.41660 | − | 4.05322i | 0.294821 | − | 0.141978i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 6.15123 | + | 4.21640i | 0.215204 | + | 0.147513i | ||||
\(818\) | −33.2230 | −1.16162 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.419334 | − | 5.59563i | −0.0146438 | − | 0.195408i | ||||
\(821\) | 11.5042 | − | 14.4258i | 0.401500 | − | 0.503465i | −0.539447 | − | 0.842020i | \(-0.681367\pi\) |
0.940947 | + | 0.338555i | \(0.109938\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −4.59427 | − | 7.95750i | −0.160146 | − | 0.277381i | 0.774775 | − | 0.632237i | \(-0.217863\pi\) |
−0.934921 | + | 0.354856i | \(0.884530\pi\) | |||||||
\(824\) | −12.9496 | + | 22.4293i | −0.451120 | + | 0.781362i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.94994 | − | 0.293907i | 0.0678472 | − | 0.0102263i | ||||
\(827\) | 26.9067 | − | 24.9658i | 0.935637 | − | 0.868145i | −0.0558380 | − | 0.998440i | \(-0.517783\pi\) |
0.991475 | + | 0.130295i | \(0.0415925\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 3.75599 | + | 2.56079i | 0.130451 | + | 0.0889400i | 0.626788 | − | 0.779190i | \(-0.284369\pi\) |
−0.496336 | + | 0.868130i | \(0.665322\pi\) | |||||||
\(830\) | −7.78443 | − | 7.22290i | −0.270202 | − | 0.250710i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −8.49311 | − | 21.6401i | −0.294446 | − | 0.750235i | ||||
\(833\) | −0.437263 | − | 1.91577i | −0.0151503 | − | 0.0663776i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 3.96807 | − | 2.70538i | 0.137321 | − | 0.0936236i | ||||
\(836\) | −5.49185 | − | 0.827763i | −0.189940 | − | 0.0286288i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −34.9596 | − | 16.8357i | −1.20766 | − | 0.581578i | ||||
\(839\) | −21.6424 | − | 10.4224i | −0.747177 | − | 0.359822i | 0.0212370 | − | 0.999774i | \(-0.493240\pi\) |
−0.768414 | + | 0.639953i | \(0.778954\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −18.4585 | − | 2.78217i | −0.636500 | − | 0.0959369i | ||||
\(842\) | −14.8710 | + | 10.1389i | −0.512490 | + | 0.349410i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −3.43390 | − | 15.0449i | −0.118200 | − | 0.517866i | ||||
\(845\) | 2.33598 | + | 5.95197i | 0.0803601 | + | 0.204754i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −4.02372 | − | 3.73347i | −0.138257 | − | 0.128284i | ||||
\(848\) | 11.9050 | + | 8.11671i | 0.408820 | + | 0.278729i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0.717647 | − | 0.665879i | 0.0246151 | − | 0.0228395i | ||||
\(851\) | −29.4054 | + | 4.43215i | −1.00800 | + | 0.151932i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 24.8630 | − | 43.0639i | 0.851292 | − | 1.47448i | −0.0287512 | − | 0.999587i | \(-0.509153\pi\) |
0.880043 | − | 0.474894i | \(-0.157514\pi\) | |||||||
\(854\) | 1.58515 | + | 2.74555i | 0.0542426 | + | 0.0939509i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −11.9769 | + | 15.0185i | −0.409361 | + | 0.513323i | ||||
\(857\) | 2.63975 | + | 35.2251i | 0.0901723 | + | 1.20327i | 0.840356 | + | 0.542036i | \(0.182346\pi\) |
−0.750183 | + | 0.661230i | \(0.770035\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 8.58814 | 0.293024 | 0.146512 | − | 0.989209i | \(-0.453195\pi\) | ||||
0.146512 | + | 0.989209i | \(0.453195\pi\) | |||||||
\(860\) | 5.27016 | − | 4.86553i | 0.179711 | − | 0.165913i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 8.90311 | − | 4.28751i | 0.303241 | − | 0.146033i | ||||
\(863\) | −2.53059 | − | 33.7684i | −0.0861424 | − | 1.14949i | −0.857984 | − | 0.513676i | \(-0.828283\pi\) |
0.771842 | − | 0.635814i | \(-0.219336\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −31.0531 | + | 9.57861i | −1.05584 | + | 0.325682i | ||||
\(866\) | 9.42715 | + | 16.3283i | 0.320348 | + | 0.554858i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.385524 | + | 1.68909i | −0.0130856 | + | 0.0573315i | ||||
\(869\) | −36.7123 | + | 5.53349i | −1.24538 | + | 0.187711i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 11.2822 | + | 14.1474i | 0.382283 | + | 0.479368i | ||||
\(872\) | 0.538653 | + | 0.367247i | 0.0182411 | + | 0.0124366i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0.365568 | − | 4.87817i | 0.0123655 | − | 0.165006i | ||||
\(875\) | 0.872799 | + | 2.22386i | 0.0295060 | + | 0.0751800i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −17.2010 | − | 5.30581i | −0.580837 | − | 0.179164i | −0.00960602 | − | 0.999954i | \(-0.503058\pi\) |
−0.571231 | + | 0.820789i | \(0.693534\pi\) | |||||||
\(878\) | −16.6543 | + | 11.3547i | −0.562057 | + | 0.383204i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 5.13414 | − | 13.0816i | 0.173072 | − | 0.440980i | ||||
\(881\) | −23.6192 | − | 11.3744i | −0.795750 | − | 0.383213i | −0.00859074 | − | 0.999963i | \(-0.502735\pi\) |
−0.787159 | + | 0.616750i | \(0.788449\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −18.1802 | + | 46.3225i | −0.611814 | + | 1.55888i | 0.203016 | + | 0.979176i | \(0.434926\pi\) |
−0.814829 | + | 0.579701i | \(0.803169\pi\) | |||||||
\(884\) | 0.650600 | + | 0.0980622i | 0.0218821 | + | 0.00329819i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −9.32572 | − | 2.87660i | −0.313304 | − | 0.0966414i | ||||
\(887\) | −1.90844 | − | 8.36143i | −0.0640792 | − | 0.280749i | 0.932730 | − | 0.360577i | \(-0.117420\pi\) |
−0.996809 | + | 0.0798277i | \(0.974563\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0.126325 | − | 1.68569i | 0.00423680 | − | 0.0565362i | ||||
\(890\) | 4.79033 | + | 4.44478i | 0.160572 | + | 0.148989i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 3.68432 | + | 4.62000i | 0.123360 | + | 0.154689i | ||||
\(893\) | −0.385409 | + | 0.357607i | −0.0128972 | + | 0.0119669i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1.56366 | − | 6.85086i | 0.0522675 | − | 0.228999i | ||||
\(896\) | 0.0349607 | − | 0.0605537i | 0.00116796 | − | 0.00202296i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −21.1346 | + | 6.51917i | −0.705271 | + | 0.217547i | ||||
\(899\) | 42.5769 | − | 53.3898i | 1.42002 | − | 1.78065i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −2.12696 | + | 1.02429i | −0.0708592 | + | 0.0341240i | ||||
\(902\) | 33.7546 | 1.12391 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 33.9417 | 1.12888 | ||||||||
\(905\) | −3.37626 | + | 1.62592i | −0.112231 | + | 0.0540474i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −17.5664 | + | 22.0275i | −0.583282 | + | 0.731412i | −0.982669 | − | 0.185370i | \(-0.940652\pi\) |
0.399387 | + | 0.916782i | \(0.369223\pi\) | |||||||
\(908\) | 12.0998 | − | 3.73231i | 0.401548 | − | 0.123861i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.458332 | − | 0.793855i | 0.0151936 | − | 0.0263160i | ||||
\(911\) | −5.43767 | + | 23.8240i | −0.180158 | + | 0.789324i | 0.801395 | + | 0.598135i | \(0.204091\pi\) |
−0.981553 | + | 0.191189i | \(0.938766\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −31.8556 | + | 29.5577i | −1.05427 | + | 0.978217i | ||||
\(914\) | 7.32050 | + | 9.17962i | 0.242141 | + | 0.303635i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.638222 | − | 0.592184i | −0.0210875 | − | 0.0195663i | ||||
\(917\) | 0.290311 | − | 3.87394i | 0.00958692 | − | 0.127929i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 3.55017 | + | 15.5543i | 0.117109 | + | 0.513089i | 0.999123 | + | 0.0418659i | \(0.0133302\pi\) |
−0.882014 | + | 0.471223i | \(0.843813\pi\) | |||||||
\(920\) | −15.6008 | − | 4.81222i | −0.514345 | − | 0.158654i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 9.18878 | + | 1.38499i | 0.302616 | + | 0.0456121i | ||||
\(923\) | −1.55354 | + | 3.95835i | −0.0511353 | + | 0.130291i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 21.5772 | + | 10.3910i | 0.709455 | + | 0.341656i | ||||
\(926\) | 0.906512 | − | 2.30975i | 0.0297898 | − | 0.0759032i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 24.2380 | − | 16.5252i | 0.795650 | − | 0.542465i | ||||
\(929\) | 5.97357 | + | 1.84260i | 0.195987 | + | 0.0604539i | 0.391195 | − | 0.920308i | \(-0.372062\pi\) |
−0.195208 | + | 0.980762i | \(0.562538\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 2.88900 | + | 7.36105i | 0.0946832 | + | 0.241249i | ||||
\(932\) | −0.0806629 | + | 1.07637i | −0.00264220 | + | 0.0352577i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −27.2692 | − | 18.5918i | −0.892275 | − | 0.608343i | ||||
\(935\) | 1.43556 | + | 1.80014i | 0.0469480 | + | 0.0588709i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 53.4604 | − | 8.05785i | 1.74647 | − | 0.263239i | 0.803309 | − | 0.595563i | \(-0.203071\pi\) |
0.943165 | + | 0.332324i | \(0.107833\pi\) | |||||||
\(938\) | −0.330521 | + | 1.44811i | −0.0107919 | + | 0.0472823i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.252838 | + | 0.437929i | 0.00824667 | + | 0.0142837i | ||||
\(941\) | −29.8574 | + | 9.20978i | −0.973322 | + | 0.300230i | −0.740326 | − | 0.672248i | \(-0.765329\pi\) |
−0.232996 | + | 0.972478i | \(0.574853\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −1.51146 | − | 20.1690i | −0.0492198 | − | 0.656792i | ||||
\(944\) | 12.9850 | − | 6.25324i | 0.422625 | − | 0.203526i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 26.8174 | + | 33.8010i | 0.871909 | + | 1.09896i | ||||
\(947\) | 38.7946 | 1.26066 | 0.630328 | − | 0.776329i | \(-0.282920\pi\) | ||||
0.630328 | + | 0.776329i | \(0.282920\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.176216 | + | 2.35144i | 0.00572022 | + | 0.0763311i | ||||
\(950\) | −2.45631 | + | 3.08012i | −0.0796932 | + | 0.0999321i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.0937025 | + | 0.162298i | 0.00303692 | + | 0.00526009i | ||||
\(953\) | −14.6148 | + | 25.3136i | −0.473420 | + | 0.819987i | −0.999537 | − | 0.0304252i | \(-0.990314\pi\) |
0.526118 | + | 0.850412i | \(0.323647\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 4.61591 | − | 0.695736i | 0.149367 | − | 0.0225135i | ||||
\(956\) | −8.83068 | + | 8.19367i | −0.285605 | + | 0.265002i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 12.2409 | + | 8.34572i | 0.395486 | + | 0.269638i | ||||
\(959\) | 1.59320 | + | 1.47828i | 0.0514472 | + | 0.0477361i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 24.4157 | + | 62.2103i | 0.787604 | + | 2.00678i | ||||
\(962\) | −5.26480 | − | 23.0666i | −0.169744 | − | 0.743698i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −15.9924 | + | 10.9035i | −0.515082 | + | 0.351177i | ||||
\(965\) | −24.3883 | − | 3.67594i | −0.785087 | − | 0.118333i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −22.9889 | − | 11.0709i | −0.739274 | − | 0.356015i | 0.0260504 | − | 0.999661i | \(-0.491707\pi\) |
−0.765324 | + | 0.643645i | \(0.777421\pi\) | |||||||
\(968\) | −70.0783 | − | 33.7479i | −2.25240 | − | 1.08470i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 6.51307 | + | 0.981688i | 0.209122 | + | 0.0315201i | ||||
\(971\) | −17.1865 | + | 11.7176i | −0.551542 | + | 0.376035i | −0.806788 | − | 0.590841i | \(-0.798796\pi\) |
0.255246 | + | 0.966876i | \(0.417844\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0.597875 | + | 2.61946i | 0.0191670 | + | 0.0839761i | ||||
\(974\) | 14.8495 | + | 37.8358i | 0.475808 | + | 1.21234i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 16.9850 | + | 15.7598i | 0.543676 | + | 0.504458i | ||||
\(977\) | 15.5522 | + | 10.6033i | 0.497559 | + | 0.339230i | 0.785958 | − | 0.618280i | \(-0.212170\pi\) |
−0.288398 | + | 0.957510i | \(0.593123\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 19.6031 | − | 18.1890i | 0.626517 | − | 0.581323i | ||||
\(980\) | 7.52068 | − | 1.13356i | 0.240239 | − | 0.0362102i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −11.2007 | + | 19.4003i | −0.357430 | + | 0.619087i | ||||
\(983\) | −11.1156 | − | 19.2529i | −0.354534 | − | 0.614071i | 0.632504 | − | 0.774557i | \(-0.282027\pi\) |
−0.987038 | + | 0.160486i | \(0.948694\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 8.57416 | − | 10.7517i | 0.273195 | − | 0.342576i | ||||
\(986\) | −0.159080 | − | 2.12277i | −0.00506613 | − | 0.0676028i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −2.64771 | −0.0842348 | ||||||||
\(989\) | 18.9958 | − | 17.5374i | 0.604033 | − | 0.557657i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −13.8081 | + | 6.64964i | −0.438630 | + | 0.211233i | −0.640148 | − | 0.768252i | \(-0.721127\pi\) |
0.201518 | + | 0.979485i | \(0.435413\pi\) | |||||||
\(992\) | 3.14060 | + | 41.9084i | 0.0997143 | + | 1.33059i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.333542 | + | 0.102884i | −0.0105793 | + | 0.00326328i | ||||
\(995\) | 6.21163 | + | 10.7589i | 0.196922 | + | 0.341079i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −1.57862 | + | 6.91637i | −0.0499953 | + | 0.219044i | −0.993754 | − | 0.111591i | \(-0.964405\pi\) |
0.943759 | + | 0.330634i | \(0.107263\pi\) | |||||||
\(998\) | 7.51987 | − | 1.13344i | 0.238037 | − | 0.0358784i | ||||
\(999\) | 0 | 0 |
(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 | 387.2.y.c.100.2 | 36 | ||
3.2 | odd | 2 | 43.2.g.a.14.2 | ✓ | 36 | ||
12.11 | even | 2 | 688.2.bg.c.401.1 | 36 | |||
43.40 | even | 21 | inner | 387.2.y.c.298.2 | 36 | ||
129.56 | odd | 42 | 1849.2.a.n.1.13 | 18 | |||
129.83 | odd | 42 | 43.2.g.a.40.2 | yes | 36 | ||
129.116 | even | 42 | 1849.2.a.o.1.6 | 18 | |||
516.83 | even | 42 | 688.2.bg.c.513.1 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.2.g.a.14.2 | ✓ | 36 | 3.2 | odd | 2 | ||
43.2.g.a.40.2 | yes | 36 | 129.83 | odd | 42 | ||
387.2.y.c.100.2 | 36 | 1.1 | even | 1 | trivial | ||
387.2.y.c.298.2 | 36 | 43.40 | even | 21 | inner | ||
688.2.bg.c.401.1 | 36 | 12.11 | even | 2 | |||
688.2.bg.c.513.1 | 36 | 516.83 | even | 42 | |||
1849.2.a.n.1.13 | 18 | 129.56 | odd | 42 | |||
1849.2.a.o.1.6 | 18 | 129.116 | even | 42 |