Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(11,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.n (of order \(10\), degree \(4\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 11.55 | ||
Character | \(\chi\) | \(=\) | 300.11 |
Dual form | 300.2.n.a.191.55 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.40679 | − | 0.144680i | 0.994753 | − | 0.102304i | ||||
\(3\) | −0.926171 | − | 1.46363i | −0.534725 | − | 0.845026i | ||||
\(4\) | 1.95814 | − | 0.407070i | 0.979068 | − | 0.203535i | ||||
\(5\) | −2.17904 | − | 0.501802i | −0.974494 | − | 0.224413i | ||||
\(6\) | −1.51469 | − | 1.92502i | −0.618369 | − | 0.785888i | ||||
\(7\) | − | 2.67645i | − | 1.01160i | −0.862650 | − | 0.505801i | \(-0.831197\pi\) | ||
0.862650 | − | 0.505801i | \(-0.168803\pi\) | |||||||
\(8\) | 2.69580 | − | 0.855967i | 0.953108 | − | 0.302630i | ||||
\(9\) | −1.28441 | + | 2.71114i | −0.428138 | + | 0.903713i | ||||
\(10\) | −3.13805 | − | 0.390668i | −0.992340 | − | 0.123540i | ||||
\(11\) | 1.85172 | − | 1.34535i | 0.558315 | − | 0.405640i | −0.272527 | − | 0.962148i | \(-0.587859\pi\) |
0.830842 | + | 0.556509i | \(0.187859\pi\) | |||||||
\(12\) | −2.40937 | − | 2.48896i | −0.695525 | − | 0.718502i | ||||
\(13\) | −2.84737 | − | 2.06874i | −0.789719 | − | 0.573765i | 0.118161 | − | 0.992994i | \(-0.462300\pi\) |
−0.907880 | + | 0.419230i | \(0.862300\pi\) | |||||||
\(14\) | −0.387229 | − | 3.76521i | −0.103491 | − | 1.00629i | ||||
\(15\) | 1.28371 | + | 3.65405i | 0.331452 | + | 0.943472i | ||||
\(16\) | 3.66859 | − | 1.59420i | 0.917147 | − | 0.398549i | ||||
\(17\) | −1.64171 | + | 0.533423i | −0.398172 | + | 0.129374i | −0.501257 | − | 0.865299i | \(-0.667129\pi\) |
0.103084 | + | 0.994673i | \(0.467129\pi\) | |||||||
\(18\) | −1.41466 | + | 3.99984i | −0.333438 | + | 0.942772i | ||||
\(19\) | 6.93479 | − | 2.25325i | 1.59095 | − | 0.516931i | 0.626103 | − | 0.779740i | \(-0.284649\pi\) |
0.964848 | + | 0.262809i | \(0.0846490\pi\) | |||||||
\(20\) | −4.47111 | − | 0.0955751i | −0.999772 | − | 0.0213713i | ||||
\(21\) | −3.91732 | + | 2.47885i | −0.854829 | + | 0.540929i | ||||
\(22\) | 2.41034 | − | 2.16054i | 0.513887 | − | 0.460629i | ||||
\(23\) | −6.63409 | + | 4.81995i | −1.38330 | + | 1.00503i | −0.386740 | + | 0.922189i | \(0.626399\pi\) |
−0.996563 | + | 0.0828400i | \(0.973601\pi\) | |||||||
\(24\) | −3.74959 | − | 3.15287i | −0.765381 | − | 0.643577i | ||||
\(25\) | 4.49639 | + | 2.18689i | 0.899278 | + | 0.437377i | ||||
\(26\) | −4.30497 | − | 2.49833i | −0.844275 | − | 0.489963i | ||||
\(27\) | 5.15769 | − | 0.631077i | 0.992597 | − | 0.121451i | ||||
\(28\) | −1.08950 | − | 5.24084i | −0.205896 | − | 0.990426i | ||||
\(29\) | 5.87446 | + | 1.90873i | 1.09086 | + | 0.354442i | 0.798579 | − | 0.601891i | \(-0.205586\pi\) |
0.292281 | + | 0.956332i | \(0.405586\pi\) | |||||||
\(30\) | 2.33458 | + | 4.95477i | 0.426234 | + | 0.904613i | ||||
\(31\) | 1.24970 | − | 0.406051i | 0.224452 | − | 0.0729288i | −0.194632 | − | 0.980876i | \(-0.562351\pi\) |
0.419084 | + | 0.907947i | \(0.362351\pi\) | |||||||
\(32\) | 4.93030 | − | 2.77348i | 0.871561 | − | 0.490286i | ||||
\(33\) | −3.68411 | − | 1.46420i | −0.641321 | − | 0.254885i | ||||
\(34\) | −2.23237 | + | 0.987938i | −0.382848 | + | 0.169430i | ||||
\(35\) | −1.34305 | + | 5.83207i | −0.227016 | + | 0.985800i | ||||
\(36\) | −1.41143 | + | 5.83163i | −0.235238 | + | 0.971938i | ||||
\(37\) | 7.58270 | + | 5.50915i | 1.24659 | + | 0.905699i | 0.998019 | − | 0.0629150i | \(-0.0200397\pi\) |
0.248569 | + | 0.968614i | \(0.420040\pi\) | |||||||
\(38\) | 9.42982 | − | 4.17319i | 1.52972 | − | 0.676980i | ||||
\(39\) | −0.390707 | + | 6.08350i | −0.0625632 | + | 0.974140i | ||||
\(40\) | −6.30376 | + | 0.512427i | −0.996712 | + | 0.0810219i | ||||
\(41\) | −4.57985 | + | 6.30362i | −0.715252 | + | 0.984460i | 0.284416 | + | 0.958701i | \(0.408200\pi\) |
−0.999668 | + | 0.0257592i | \(0.991800\pi\) | |||||||
\(42\) | −5.15222 | + | 4.05398i | −0.795005 | + | 0.625543i | ||||
\(43\) | − | 2.46655i | − | 0.376145i | −0.982155 | − | 0.188073i | \(-0.939776\pi\) | ||
0.982155 | − | 0.188073i | \(-0.0602240\pi\) | |||||||
\(44\) | 3.07827 | − | 3.38817i | 0.464066 | − | 0.510785i | ||||
\(45\) | 4.15924 | − | 5.26315i | 0.620022 | − | 0.784584i | ||||
\(46\) | −8.63544 | + | 7.74049i | −1.27323 | + | 1.14127i | ||||
\(47\) | 1.80384 | − | 5.55165i | 0.263117 | − | 0.809792i | −0.729004 | − | 0.684510i | \(-0.760016\pi\) |
0.992121 | − | 0.125282i | \(-0.0399836\pi\) | |||||||
\(48\) | −5.73105 | − | 3.89295i | −0.827206 | − | 0.561899i | ||||
\(49\) | −0.163362 | −0.0233374 | ||||||||
\(50\) | 6.64189 | + | 2.42596i | 0.939305 | + | 0.343083i | ||||
\(51\) | 2.30123 | + | 1.90881i | 0.322237 | + | 0.267286i | ||||
\(52\) | −6.41767 | − | 2.89179i | −0.889970 | − | 0.401019i | ||||
\(53\) | 0.712445 | + | 0.231487i | 0.0978618 | + | 0.0317972i | 0.357539 | − | 0.933898i | \(-0.383616\pi\) |
−0.259677 | + | 0.965696i | \(0.583616\pi\) | |||||||
\(54\) | 7.16450 | − | 1.63401i | 0.974964 | − | 0.222361i | ||||
\(55\) | −4.71007 | + | 2.00238i | −0.635106 | + | 0.270001i | ||||
\(56\) | −2.29095 | − | 7.21515i | −0.306141 | − | 0.964165i | ||||
\(57\) | −9.72073 | − | 8.06306i | −1.28754 | − | 1.06798i | ||||
\(58\) | 8.54031 | + | 1.83527i | 1.12140 | + | 0.240982i | ||||
\(59\) | 0.338315 | + | 0.245801i | 0.0440449 | + | 0.0320005i | 0.609590 | − | 0.792717i | \(-0.291334\pi\) |
−0.565545 | + | 0.824717i | \(0.691334\pi\) | |||||||
\(60\) | 4.00113 | + | 6.63257i | 0.516544 | + | 0.856261i | ||||
\(61\) | −6.39074 | + | 4.64315i | −0.818251 | + | 0.594494i | −0.916211 | − | 0.400696i | \(-0.868768\pi\) |
0.0979601 | + | 0.995190i | \(0.468768\pi\) | |||||||
\(62\) | 1.69932 | − | 0.752035i | 0.215813 | − | 0.0955086i | ||||
\(63\) | 7.25622 | + | 3.43766i | 0.914198 | + | 0.433105i | ||||
\(64\) | 6.53464 | − | 4.61503i | 0.816830 | − | 0.576878i | ||||
\(65\) | 5.16643 | + | 5.93667i | 0.640817 | + | 0.736353i | ||||
\(66\) | −5.39462 | − | 1.52681i | −0.664032 | − | 0.187938i | ||||
\(67\) | 0.682543 | − | 0.221772i | 0.0833859 | − | 0.0270937i | −0.267027 | − | 0.963689i | \(-0.586041\pi\) |
0.350413 | + | 0.936595i | \(0.386041\pi\) | |||||||
\(68\) | −2.99754 | + | 1.71280i | −0.363506 | + | 0.207708i | ||||
\(69\) | 13.1989 | + | 5.24574i | 1.58896 | + | 0.631513i | ||||
\(70\) | −1.04560 | + | 8.39883i | −0.124973 | + | 1.00385i | ||||
\(71\) | 0.00682784 | − | 0.0210139i | 0.000810315 | − | 0.00249389i | −0.950651 | − | 0.310264i | \(-0.899583\pi\) |
0.951461 | + | 0.307770i | \(0.0995827\pi\) | |||||||
\(72\) | −1.14187 | + | 8.40810i | −0.134571 | + | 0.990904i | ||||
\(73\) | 4.67607 | − | 3.39736i | 0.547292 | − | 0.397631i | −0.279494 | − | 0.960147i | \(-0.590167\pi\) |
0.826786 | + | 0.562516i | \(0.190167\pi\) | |||||||
\(74\) | 11.4644 | + | 6.65317i | 1.33270 | + | 0.773416i | ||||
\(75\) | −0.963638 | − | 8.60647i | −0.111271 | − | 0.993790i | ||||
\(76\) | 12.6620 | − | 7.23512i | 1.45243 | − | 0.829925i | ||||
\(77\) | −3.60077 | − | 4.95603i | −0.410346 | − | 0.564792i | ||||
\(78\) | 0.330518 | + | 8.61476i | 0.0374238 | + | 0.975429i | ||||
\(79\) | −9.80854 | − | 3.18699i | −1.10355 | − | 0.358564i | −0.300080 | − | 0.953914i | \(-0.597013\pi\) |
−0.803466 | + | 0.595350i | \(0.797013\pi\) | |||||||
\(80\) | −8.79395 | + | 1.63291i | −0.983194 | + | 0.182565i | ||||
\(81\) | −5.70056 | − | 6.96445i | −0.633396 | − | 0.773828i | ||||
\(82\) | −5.53089 | + | 9.53050i | −0.610785 | + | 1.05247i | ||||
\(83\) | 0.850203 | + | 2.61666i | 0.0933219 | + | 0.287215i | 0.986813 | − | 0.161866i | \(-0.0517513\pi\) |
−0.893491 | + | 0.449081i | \(0.851751\pi\) | |||||||
\(84\) | −6.66158 | + | 6.44854i | −0.726838 | + | 0.703594i | ||||
\(85\) | 3.84501 | − | 0.338536i | 0.417050 | − | 0.0367194i | ||||
\(86\) | −0.356861 | − | 3.46992i | −0.0384813 | − | 0.374171i | ||||
\(87\) | −2.64709 | − | 10.3658i | −0.283798 | − | 1.11133i | ||||
\(88\) | 3.84029 | − | 5.21182i | 0.409376 | − | 0.555581i | ||||
\(89\) | 6.76353 | + | 9.30919i | 0.716932 | + | 0.986773i | 0.999620 | + | 0.0275606i | \(0.00877393\pi\) |
−0.282688 | + | 0.959212i | \(0.591226\pi\) | |||||||
\(90\) | 5.08971 | − | 8.00592i | 0.536503 | − | 0.843898i | ||||
\(91\) | −5.53687 | + | 7.62084i | −0.580421 | + | 0.798881i | ||||
\(92\) | −11.0284 | + | 12.1387i | −1.14979 | + | 1.26554i | ||||
\(93\) | −1.75174 | − | 1.45302i | −0.181647 | − | 0.150671i | ||||
\(94\) | 1.73442 | − | 8.07101i | 0.178892 | − | 0.832461i | ||||
\(95\) | −16.2418 | + | 1.43002i | −1.66638 | + | 0.146717i | ||||
\(96\) | −8.62564 | − | 4.64740i | −0.880351 | − | 0.474324i | ||||
\(97\) | −2.56496 | + | 7.89413i | −0.260432 | + | 0.801528i | 0.732278 | + | 0.681005i | \(0.238457\pi\) |
−0.992711 | + | 0.120522i | \(0.961543\pi\) | |||||||
\(98\) | −0.229816 | + | 0.0236352i | −0.0232150 | + | 0.00238752i | ||||
\(99\) | 1.26907 | + | 6.74827i | 0.127546 | + | 0.678227i | ||||
\(100\) | 9.69476 | + | 2.45187i | 0.969476 | + | 0.245187i | ||||
\(101\) | − | 8.19206i | − | 0.815140i | −0.913174 | − | 0.407570i | \(-0.866376\pi\) | ||
0.913174 | − | 0.407570i | \(-0.133624\pi\) | |||||||
\(102\) | 3.51353 | + | 2.35235i | 0.347891 | + | 0.232918i | ||||
\(103\) | −11.5728 | − | 3.76024i | −1.14030 | − | 0.370507i | −0.322821 | − | 0.946460i | \(-0.604631\pi\) |
−0.817483 | + | 0.575953i | \(0.804631\pi\) | |||||||
\(104\) | −9.44671 | − | 3.13964i | −0.926327 | − | 0.307867i | ||||
\(105\) | 9.77987 | − | 3.43578i | 0.954418 | − | 0.335298i | ||||
\(106\) | 1.03575 | + | 0.222578i | 0.100601 | + | 0.0216187i | ||||
\(107\) | −4.43749 | −0.428988 | −0.214494 | − | 0.976725i | \(-0.568810\pi\) | ||||
−0.214494 | + | 0.976725i | \(0.568810\pi\) | |||||||
\(108\) | 9.84256 | − | 3.33528i | 0.947101 | − | 0.320937i | ||||
\(109\) | −12.5441 | − | 9.11380i | −1.20150 | − | 0.872944i | −0.207073 | − | 0.978326i | \(-0.566394\pi\) |
−0.994432 | + | 0.105381i | \(0.966394\pi\) | |||||||
\(110\) | −6.33639 | + | 3.49839i | −0.604151 | + | 0.333558i | ||||
\(111\) | 1.04047 | − | 16.2007i | 0.0987573 | − | 1.53770i | ||||
\(112\) | −4.26678 | − | 9.81878i | −0.403173 | − | 0.927787i | ||||
\(113\) | −0.190962 | + | 0.262836i | −0.0179642 | + | 0.0247256i | −0.817905 | − | 0.575354i | \(-0.804864\pi\) |
0.799940 | + | 0.600079i | \(0.204864\pi\) | |||||||
\(114\) | −14.8416 | − | 9.93666i | −1.39005 | − | 0.930654i | ||||
\(115\) | 16.8746 | − | 7.17384i | 1.57356 | − | 0.668964i | ||||
\(116\) | 12.2800 | + | 1.34623i | 1.14017 | + | 0.124994i | ||||
\(117\) | 9.26585 | − | 5.06252i | 0.856628 | − | 0.468030i | ||||
\(118\) | 0.511502 | + | 0.296843i | 0.0470876 | + | 0.0273266i | ||||
\(119\) | 1.42768 | + | 4.39394i | 0.130875 | + | 0.402792i | ||||
\(120\) | 6.58837 | + | 8.75177i | 0.601433 | + | 0.798923i | ||||
\(121\) | −1.78029 | + | 5.47918i | −0.161845 | + | 0.498107i | ||||
\(122\) | −8.31868 | + | 7.45656i | −0.753138 | + | 0.675085i | ||||
\(123\) | 13.4679 | + | 0.864962i | 1.21436 | + | 0.0779910i | ||||
\(124\) | 2.28178 | − | 1.30382i | 0.204910 | − | 0.117086i | ||||
\(125\) | −8.70041 | − | 7.02160i | −0.778188 | − | 0.628031i | ||||
\(126\) | 10.7054 | + | 3.78625i | 0.953710 | + | 0.337306i | ||||
\(127\) | 2.42299 | + | 3.33497i | 0.215006 | + | 0.295930i | 0.902874 | − | 0.429906i | \(-0.141453\pi\) |
−0.687868 | + | 0.725836i | \(0.741453\pi\) | |||||||
\(128\) | 8.52519 | − | 7.43782i | 0.753527 | − | 0.657417i | ||||
\(129\) | −3.61011 | + | 2.28445i | −0.317852 | + | 0.201134i | ||||
\(130\) | 8.12702 | + | 7.60419i | 0.712787 | + | 0.666932i | ||||
\(131\) | −4.03029 | − | 12.4040i | −0.352128 | − | 1.08374i | −0.957656 | − | 0.287914i | \(-0.907038\pi\) |
0.605528 | − | 0.795824i | \(-0.292962\pi\) | |||||||
\(132\) | −7.81002 | − | 1.36742i | −0.679775 | − | 0.119018i | ||||
\(133\) | −6.03070 | − | 18.5606i | −0.522928 | − | 1.60941i | ||||
\(134\) | 0.928111 | − | 0.410737i | 0.0801765 | − | 0.0354823i | ||||
\(135\) | −11.5555 | − | 1.21300i | −0.994536 | − | 0.104398i | ||||
\(136\) | −3.96912 | + | 2.84325i | −0.340349 | + | 0.243806i | ||||
\(137\) | 4.84704 | − | 6.67138i | 0.414111 | − | 0.569975i | −0.550104 | − | 0.835096i | \(-0.685412\pi\) |
0.964215 | + | 0.265121i | \(0.0854121\pi\) | |||||||
\(138\) | 19.3271 | + | 5.47005i | 1.64523 | + | 0.465642i | ||||
\(139\) | 6.80822 | + | 9.37071i | 0.577466 | + | 0.794814i | 0.993415 | − | 0.114574i | \(-0.0365505\pi\) |
−0.415949 | + | 0.909388i | \(0.636550\pi\) | |||||||
\(140\) | −0.255802 | + | 11.9667i | −0.0216192 | + | 1.01137i | ||||
\(141\) | −9.79622 | + | 2.50163i | −0.824990 | + | 0.210675i | ||||
\(142\) | 0.00656506 | − | 0.0305501i | 0.000550927 | − | 0.00256371i | ||||
\(143\) | −8.05573 | −0.673654 | ||||||||
\(144\) | −0.389891 | + | 11.9937i | −0.0324909 | + | 0.999472i | ||||
\(145\) | −11.8429 | − | 7.10700i | −0.983495 | − | 0.590204i | ||||
\(146\) | 6.08673 | − | 5.45592i | 0.503741 | − | 0.451535i | ||||
\(147\) | 0.151301 | + | 0.239101i | 0.0124791 | + | 0.0197207i | ||||
\(148\) | 17.0906 | + | 7.70098i | 1.40484 | + | 0.633016i | ||||
\(149\) | 10.1521i | 0.831693i | 0.909435 | + | 0.415847i | \(0.136515\pi\) | ||||
−0.909435 | + | 0.415847i | \(0.863485\pi\) | |||||||
\(150\) | −2.60083 | − | 11.9681i | −0.212357 | − | 0.977192i | ||||
\(151\) | 16.1010i | 1.31028i | 0.755508 | + | 0.655140i | \(0.227390\pi\) | ||||
−0.755508 | + | 0.655140i | \(0.772610\pi\) | |||||||
\(152\) | 16.7661 | − | 12.0103i | 1.35991 | − | 0.974161i | ||||
\(153\) | 0.662446 | − | 5.13603i | 0.0535556 | − | 0.415224i | ||||
\(154\) | −5.78258 | − | 6.45115i | −0.465973 | − | 0.519849i | ||||
\(155\) | −2.92689 | + | 0.257699i | −0.235093 | + | 0.0206989i | ||||
\(156\) | 1.71136 | + | 12.0714i | 0.137018 | + | 0.966483i | ||||
\(157\) | 16.9235 | 1.35064 | 0.675322 | − | 0.737523i | \(-0.264005\pi\) | ||||
0.675322 | + | 0.737523i | \(0.264005\pi\) | |||||||
\(158\) | −14.2597 | − | 3.06433i | −1.13444 | − | 0.243785i | ||||
\(159\) | −0.321035 | − | 1.25715i | −0.0254597 | − | 0.0996986i | ||||
\(160\) | −12.1350 | + | 3.56948i | −0.959358 | + | 0.282192i | ||||
\(161\) | 12.9003 | + | 17.7558i | 1.01669 | + | 1.39935i | ||||
\(162\) | −9.02713 | − | 8.97278i | −0.709239 | − | 0.704968i | ||||
\(163\) | −2.73834 | + | 3.76900i | −0.214483 | + | 0.295211i | −0.902679 | − | 0.430314i | \(-0.858403\pi\) |
0.688196 | + | 0.725525i | \(0.258403\pi\) | |||||||
\(164\) | −6.40195 | + | 14.2077i | −0.499908 | + | 1.10943i | ||||
\(165\) | 7.29307 | + | 5.03924i | 0.567764 | + | 0.392305i | ||||
\(166\) | 1.57464 | + | 3.55809i | 0.122216 | + | 0.276161i | ||||
\(167\) | 4.13795 | + | 12.7353i | 0.320205 | + | 0.985488i | 0.973559 | + | 0.228436i | \(0.0733612\pi\) |
−0.653354 | + | 0.757052i | \(0.726639\pi\) | |||||||
\(168\) | −8.43849 | + | 10.0356i | −0.651044 | + | 0.774261i | ||||
\(169\) | −0.189360 | − | 0.582791i | −0.0145662 | − | 0.0448300i | ||||
\(170\) | 5.36015 | − | 1.03255i | 0.411105 | − | 0.0791927i | ||||
\(171\) | −2.79826 | + | 21.6953i | −0.213988 | + | 1.65908i | ||||
\(172\) | −1.00406 | − | 4.82983i | −0.0765587 | − | 0.368271i | ||||
\(173\) | −9.79725 | − | 13.4848i | −0.744871 | − | 1.02523i | −0.998324 | − | 0.0578791i | \(-0.981566\pi\) |
0.253453 | − | 0.967348i | \(-0.418434\pi\) | |||||||
\(174\) | −5.22364 | − | 14.1996i | −0.396003 | − | 1.07647i | ||||
\(175\) | 5.85309 | − | 12.0343i | 0.442452 | − | 0.909711i | ||||
\(176\) | 4.64844 | − | 7.88756i | 0.350390 | − | 0.594547i | ||||
\(177\) | 0.0464225 | − | 0.722821i | 0.00348933 | − | 0.0543306i | ||||
\(178\) | 10.8617 | + | 12.1176i | 0.814122 | + | 0.908250i | ||||
\(179\) | 6.55445 | − | 20.1725i | 0.489903 | − | 1.50777i | −0.334849 | − | 0.942272i | \(-0.608685\pi\) |
0.824752 | − | 0.565494i | \(-0.191315\pi\) | |||||||
\(180\) | 6.00188 | − | 11.9991i | 0.447354 | − | 0.894357i | ||||
\(181\) | −5.48943 | − | 16.8947i | −0.408026 | − | 1.25578i | −0.918342 | − | 0.395788i | \(-0.870471\pi\) |
0.510315 | − | 0.859987i | \(-0.329529\pi\) | |||||||
\(182\) | −6.68664 | + | 11.5220i | −0.495647 | + | 0.854069i | ||||
\(183\) | 12.7148 | + | 5.05332i | 0.939902 | + | 0.373552i | ||||
\(184\) | −13.7584 | + | 18.6722i | −1.01429 | + | 1.37653i | ||||
\(185\) | −13.7585 | − | 15.8097i | −1.01154 | − | 1.16235i | ||||
\(186\) | −2.67456 | − | 1.79065i | −0.196108 | − | 0.131297i | ||||
\(187\) | −2.32234 | + | 3.19643i | −0.169826 | + | 0.233746i | ||||
\(188\) | 1.27225 | − | 11.6052i | 0.0927885 | − | 0.846394i | ||||
\(189\) | −1.68904 | − | 13.8043i | −0.122860 | − | 1.00411i | ||||
\(190\) | −22.6420 | + | 4.36162i | −1.64263 | + | 0.316425i | ||||
\(191\) | 5.41887 | + | 3.93704i | 0.392096 | + | 0.284874i | 0.766314 | − | 0.642466i | \(-0.222089\pi\) |
−0.374218 | + | 0.927341i | \(0.622089\pi\) | |||||||
\(192\) | −12.8069 | − | 5.28998i | −0.924257 | − | 0.381771i | ||||
\(193\) | −5.36336 | −0.386063 | −0.193032 | − | 0.981193i | \(-0.561832\pi\) | ||||
−0.193032 | + | 0.981193i | \(0.561832\pi\) | |||||||
\(194\) | −2.46624 | + | 11.4765i | −0.177066 | + | 0.823966i | ||||
\(195\) | 3.90408 | − | 13.0601i | 0.279577 | − | 0.935254i | ||||
\(196\) | −0.319885 | + | 0.0664998i | −0.0228489 | + | 0.00474998i | ||||
\(197\) | 16.5630 | + | 5.38164i | 1.18006 | + | 0.383426i | 0.832391 | − | 0.554189i | \(-0.186972\pi\) |
0.347674 | + | 0.937616i | \(0.386972\pi\) | |||||||
\(198\) | 2.76166 | + | 9.30981i | 0.196263 | + | 0.661620i | ||||
\(199\) | − | 0.552935i | − | 0.0391965i | −0.999808 | − | 0.0195983i | \(-0.993761\pi\) | ||
0.999808 | − | 0.0195983i | \(-0.00623872\pi\) | |||||||
\(200\) | 13.9933 | + | 2.04664i | 0.989473 | + | 0.144719i | ||||
\(201\) | −0.956742 | − | 0.793590i | −0.0674834 | − | 0.0559755i | ||||
\(202\) | −1.18523 | − | 11.5245i | −0.0833924 | − | 0.810864i | ||||
\(203\) | 5.10861 | − | 15.7227i | 0.358554 | − | 1.10352i | ||||
\(204\) | 5.28315 | + | 2.80094i | 0.369894 | + | 0.196105i | ||||
\(205\) | 13.1428 | − | 11.4376i | 0.917934 | − | 0.798839i | ||||
\(206\) | −16.8246 | − | 3.61552i | −1.17223 | − | 0.251905i | ||||
\(207\) | −4.54664 | − | 24.1768i | −0.316013 | − | 1.68040i | ||||
\(208\) | −13.7438 | − | 3.05007i | −0.952962 | − | 0.211484i | ||||
\(209\) | 9.80989 | − | 13.5022i | 0.678564 | − | 0.933963i | ||||
\(210\) | 13.2612 | − | 6.24838i | 0.915108 | − | 0.431179i | ||||
\(211\) | 6.21102 | + | 8.54873i | 0.427584 | + | 0.588519i | 0.967397 | − | 0.253266i | \(-0.0815049\pi\) |
−0.539813 | + | 0.841785i | \(0.681505\pi\) | |||||||
\(212\) | 1.48929 | + | 0.163268i | 0.102285 | + | 0.0112133i | ||||
\(213\) | −0.0370803 | + | 0.00946908i | −0.00254070 | + | 0.000648810i | ||||
\(214\) | −6.24263 | + | 0.642017i | −0.426738 | + | 0.0438874i | ||||
\(215\) | −1.23772 | + | 5.37470i | −0.0844117 | + | 0.366551i | ||||
\(216\) | 13.3639 | − | 6.11607i | 0.909298 | − | 0.416146i | ||||
\(217\) | −1.08677 | − | 3.34474i | −0.0737749 | − | 0.227056i | ||||
\(218\) | −18.9655 | − | 11.0064i | −1.28451 | − | 0.745445i | ||||
\(219\) | −9.30331 | − | 3.69748i | −0.628660 | − | 0.249853i | ||||
\(220\) | −8.40784 | + | 5.83826i | −0.566857 | + | 0.393615i | ||||
\(221\) | 5.77807 | + | 1.87741i | 0.388675 | + | 0.126288i | ||||
\(222\) | −0.880186 | − | 22.9415i | −0.0590742 | − | 1.53973i | ||||
\(223\) | 0.202024 | + | 0.278062i | 0.0135285 | + | 0.0186204i | 0.815728 | − | 0.578436i | \(-0.196337\pi\) |
−0.802199 | + | 0.597057i | \(0.796337\pi\) | |||||||
\(224\) | −7.42306 | − | 13.1957i | −0.495974 | − | 0.881673i | ||||
\(225\) | −11.7042 | + | 9.38148i | −0.780279 | + | 0.625432i | ||||
\(226\) | −0.230617 | + | 0.397385i | −0.0153404 | + | 0.0264337i | ||||
\(227\) | −10.2571 | + | 7.45219i | −0.680785 | + | 0.494619i | −0.873618 | − | 0.486613i | \(-0.838232\pi\) |
0.192833 | + | 0.981232i | \(0.438232\pi\) | |||||||
\(228\) | −22.3167 | − | 11.8315i | −1.47796 | − | 0.783563i | ||||
\(229\) | −8.64338 | + | 26.6016i | −0.571170 | + | 1.75788i | 0.0776936 | + | 0.996977i | \(0.475244\pi\) |
−0.648864 | + | 0.760904i | \(0.724756\pi\) | |||||||
\(230\) | 22.7011 | − | 12.5335i | 1.49687 | − | 0.826436i | ||||
\(231\) | −3.91886 | + | 9.86032i | −0.257842 | + | 0.648762i | ||||
\(232\) | 17.4702 | + | 0.117197i | 1.14697 | + | 0.00769437i | ||||
\(233\) | −2.61219 | + | 0.848752i | −0.171130 | + | 0.0556036i | −0.393329 | − | 0.919398i | \(-0.628677\pi\) |
0.222199 | + | 0.975001i | \(0.428677\pi\) | |||||||
\(234\) | 12.3027 | − | 8.46250i | 0.804252 | − | 0.553211i | ||||
\(235\) | −6.71646 | + | 11.1921i | −0.438134 | + | 0.730091i | ||||
\(236\) | 0.762525 | + | 0.343593i | 0.0496362 | + | 0.0223660i | ||||
\(237\) | 4.41982 | + | 17.3077i | 0.287098 | + | 1.12426i | ||||
\(238\) | 2.64416 | + | 5.97481i | 0.171396 | + | 0.387289i | ||||
\(239\) | 0.809300 | − | 0.587991i | 0.0523493 | − | 0.0380340i | −0.561303 | − | 0.827610i | \(-0.689700\pi\) |
0.613652 | + | 0.789576i | \(0.289700\pi\) | |||||||
\(240\) | 10.5347 | + | 11.3587i | 0.680011 | + | 0.733202i | ||||
\(241\) | 12.5703 | + | 9.13283i | 0.809721 | + | 0.588297i | 0.913750 | − | 0.406277i | \(-0.133173\pi\) |
−0.104028 | + | 0.994574i | \(0.533173\pi\) | |||||||
\(242\) | −1.71178 | + | 7.96564i | −0.110037 | + | 0.512051i | ||||
\(243\) | −4.91367 | + | 14.7938i | −0.315212 | + | 0.949021i | ||||
\(244\) | −10.6239 | + | 11.6934i | −0.680122 | + | 0.748593i | ||||
\(245\) | 0.355971 | + | 0.0819753i | 0.0227422 | + | 0.00523721i | ||||
\(246\) | 19.0717 | − | 0.731713i | 1.21596 | − | 0.0466523i | ||||
\(247\) | −24.4073 | − | 7.93042i | −1.55300 | − | 0.504601i | ||||
\(248\) | 3.02136 | − | 2.16433i | 0.191856 | − | 0.137435i | ||||
\(249\) | 3.04238 | − | 3.66785i | 0.192803 | − | 0.232441i | ||||
\(250\) | −13.2556 | − | 8.61917i | −0.838356 | − | 0.545124i | ||||
\(251\) | 2.21050 | 0.139526 | 0.0697629 | − | 0.997564i | \(-0.477776\pi\) | ||||
0.0697629 | + | 0.997564i | \(0.477776\pi\) | |||||||
\(252\) | 15.6080 | + | 3.77762i | 0.983214 | + | 0.237968i | ||||
\(253\) | −5.79995 | + | 17.8504i | −0.364640 | + | 1.12225i | ||||
\(254\) | 3.89116 | + | 4.34105i | 0.244153 | + | 0.272382i | ||||
\(255\) | −4.05663 | − | 5.31412i | −0.254036 | − | 0.332783i | ||||
\(256\) | 10.9171 | − | 11.6969i | 0.682317 | − | 0.731057i | ||||
\(257\) | 12.9252i | 0.806255i | 0.915144 | + | 0.403127i | \(0.132077\pi\) | ||||
−0.915144 | + | 0.403127i | \(0.867923\pi\) | |||||||
\(258\) | −4.74816 | + | 3.73605i | −0.295608 | + | 0.232597i | ||||
\(259\) | 14.7449 | − | 20.2947i | 0.916207 | − | 1.26105i | ||||
\(260\) | 12.5332 | + | 9.52170i | 0.777277 | + | 0.590511i | ||||
\(261\) | −12.7201 | + | 13.4749i | −0.787352 | + | 0.834075i | ||||
\(262\) | −7.46439 | − | 16.8667i | −0.461151 | − | 1.04203i | ||||
\(263\) | 11.9011 | + | 8.64663i | 0.733851 | + | 0.533174i | 0.890779 | − | 0.454436i | \(-0.150159\pi\) |
−0.156928 | + | 0.987610i | \(0.550159\pi\) | |||||||
\(264\) | −11.1849 | − | 0.793716i | −0.688384 | − | 0.0488498i | ||||
\(265\) | −1.43628 | − | 0.861925i | −0.0882301 | − | 0.0529476i | ||||
\(266\) | −11.1693 | − | 25.2384i | −0.684834 | − | 1.54747i | ||||
\(267\) | 7.36101 | − | 18.5212i | 0.450487 | − | 1.13348i | ||||
\(268\) | 1.24623 | − | 0.712102i | 0.0761259 | − | 0.0434985i | ||||
\(269\) | −16.6765 | + | 5.41853i | −1.01679 | + | 0.330373i | −0.769553 | − | 0.638583i | \(-0.779521\pi\) |
−0.247232 | + | 0.968956i | \(0.579521\pi\) | |||||||
\(270\) | −16.4316 | − | 0.0345910i | −0.999998 | − | 0.00210514i | ||||
\(271\) | −3.38630 | − | 1.10028i | −0.205703 | − | 0.0668370i | 0.204353 | − | 0.978897i | \(-0.434491\pi\) |
−0.410056 | + | 0.912060i | \(0.634491\pi\) | |||||||
\(272\) | −5.17236 | + | 4.57411i | −0.313621 | + | 0.277346i | ||||
\(273\) | 16.2822 | + | 1.04571i | 0.985441 | + | 0.0632890i | ||||
\(274\) | 5.85357 | − | 10.0865i | 0.353627 | − | 0.609349i | ||||
\(275\) | 11.2682 | − | 1.99973i | 0.679498 | − | 0.120588i | ||||
\(276\) | 27.9806 | + | 4.89898i | 1.68424 | + | 0.294884i | ||||
\(277\) | −13.9525 | + | 10.1371i | −0.838324 | + | 0.609078i | −0.921902 | − | 0.387423i | \(-0.873365\pi\) |
0.0835780 | + | 0.996501i | \(0.473365\pi\) | |||||||
\(278\) | 10.9335 | + | 12.1976i | 0.655749 | + | 0.731566i | ||||
\(279\) | −0.504265 | + | 3.90964i | −0.0301896 | + | 0.234064i | ||||
\(280\) | 1.37148 | + | 16.8717i | 0.0819618 | + | 1.00828i | ||||
\(281\) | −7.25718 | + | 2.35800i | −0.432927 | + | 0.140667i | −0.517370 | − | 0.855762i | \(-0.673089\pi\) |
0.0844429 | + | 0.996428i | \(0.473089\pi\) | |||||||
\(282\) | −13.4193 | + | 4.93659i | −0.799109 | + | 0.293970i | ||||
\(283\) | −18.9661 | + | 6.16246i | −1.12742 | + | 0.366320i | −0.812594 | − | 0.582830i | \(-0.801945\pi\) |
−0.314823 | + | 0.949150i | \(0.601945\pi\) | |||||||
\(284\) | 0.00481568 | − | 0.0439275i | 0.000285758 | − | 0.00260662i | ||||
\(285\) | 17.1358 | + | 22.4476i | 1.01503 | + | 1.32968i | ||||
\(286\) | −11.3328 | + | 1.16550i | −0.670120 | + | 0.0689177i | ||||
\(287\) | 16.8713 | + | 12.2577i | 0.995881 | + | 0.723550i | ||||
\(288\) | 1.18675 | + | 16.9290i | 0.0699299 | + | 0.997552i | ||||
\(289\) | −11.3426 | + | 8.24090i | −0.667213 | + | 0.484759i | ||||
\(290\) | −17.6887 | − | 8.28465i | −1.03872 | − | 0.486492i | ||||
\(291\) | 13.9297 | − | 3.55717i | 0.816571 | − | 0.208525i | ||||
\(292\) | 7.77341 | − | 8.55598i | 0.454904 | − | 0.500701i | ||||
\(293\) | 10.7374i | 0.627288i | 0.949541 | + | 0.313644i | \(0.101550\pi\) | ||||
−0.949541 | + | 0.313644i | \(0.898450\pi\) | |||||||
\(294\) | 0.247443 | + | 0.314475i | 0.0144311 | + | 0.0183406i | ||||
\(295\) | −0.613858 | − | 0.705375i | −0.0357402 | − | 0.0410685i | ||||
\(296\) | 25.1571 | + | 8.36102i | 1.46222 | + | 0.485974i | ||||
\(297\) | 8.70158 | − | 8.10750i | 0.504917 | − | 0.470445i | ||||
\(298\) | 1.46881 | + | 14.2819i | 0.0850858 | + | 0.827329i | ||||
\(299\) | 28.8609 | 1.66907 | ||||||||
\(300\) | −5.39037 | − | 16.4604i | −0.311213 | − | 0.950340i | ||||
\(301\) | −6.60158 | −0.380509 | ||||||||
\(302\) | 2.32949 | + | 22.6508i | 0.134047 | + | 1.30340i | ||||
\(303\) | −11.9901 | + | 7.58725i | −0.688815 | + | 0.435876i | ||||
\(304\) | 21.8488 | − | 19.3217i | 1.25311 | − | 1.10817i | ||||
\(305\) | 16.2556 | − | 6.91069i | 0.930793 | − | 0.395705i | ||||
\(306\) | 0.188842 | − | 7.32118i | 0.0107954 | − | 0.418524i | ||||
\(307\) | 25.7559i | 1.46997i | 0.678084 | + | 0.734984i | \(0.262810\pi\) | ||||
−0.678084 | + | 0.734984i | \(0.737190\pi\) | |||||||
\(308\) | −9.06825 | − | 8.23882i | −0.516711 | − | 0.469450i | ||||
\(309\) | 5.21483 | + | 20.4209i | 0.296661 | + | 1.16171i | ||||
\(310\) | −4.08024 | + | 0.785992i | −0.231742 | + | 0.0446414i | ||||
\(311\) | −10.6715 | + | 7.75332i | −0.605127 | + | 0.439651i | −0.847695 | − | 0.530484i | \(-0.822010\pi\) |
0.242568 | + | 0.970134i | \(0.422010\pi\) | |||||||
\(312\) | 4.15401 | + | 16.7343i | 0.235175 | + | 0.947394i | ||||
\(313\) | 23.1320 | + | 16.8064i | 1.30750 | + | 0.949954i | 0.999999 | − | 0.00159451i | \(-0.000507549\pi\) |
0.307500 | + | 0.951548i | \(0.400508\pi\) | |||||||
\(314\) | 23.8079 | − | 2.44850i | 1.34356 | − | 0.138177i | ||||
\(315\) | −14.0865 | − | 11.1320i | −0.793686 | − | 0.627216i | ||||
\(316\) | −20.5038 | − | 2.24779i | −1.15343 | − | 0.126448i | ||||
\(317\) | 4.14438 | − | 1.34659i | 0.232771 | − | 0.0756320i | −0.190309 | − | 0.981724i | \(-0.560949\pi\) |
0.423080 | + | 0.906092i | \(0.360949\pi\) | |||||||
\(318\) | −0.633514 | − | 1.72210i | −0.0355257 | − | 0.0965708i | ||||
\(319\) | 13.4458 | − | 4.36880i | 0.752819 | − | 0.244606i | ||||
\(320\) | −16.5550 | + | 6.77721i | −0.925455 | + | 0.378858i | ||||
\(321\) | 4.10988 | + | 6.49484i | 0.229391 | + | 0.362506i | ||||
\(322\) | 20.7170 | + | 23.1123i | 1.15451 | + | 1.28800i | ||||
\(323\) | −10.1830 | + | 7.39835i | −0.566595 | + | 0.411655i | ||||
\(324\) | −13.9975 | − | 11.3168i | −0.777639 | − | 0.628711i | ||||
\(325\) | −8.27881 | − | 15.5287i | −0.459226 | − | 0.861380i | ||||
\(326\) | −3.30698 | + | 5.69839i | −0.183157 | + | 0.315605i | ||||
\(327\) | −1.72126 | + | 26.8008i | −0.0951857 | + | 1.48209i | ||||
\(328\) | −6.95065 | + | 20.9135i | −0.383785 | + | 1.15475i | ||||
\(329\) | −14.8587 | − | 4.82788i | −0.819186 | − | 0.266170i | ||||
\(330\) | 10.9889 | + | 6.03401i | 0.604920 | + | 0.332161i | ||||
\(331\) | 24.5671 | − | 7.98232i | 1.35033 | − | 0.438748i | 0.457525 | − | 0.889197i | \(-0.348736\pi\) |
0.892802 | + | 0.450449i | \(0.148736\pi\) | |||||||
\(332\) | 2.72998 | + | 4.77767i | 0.149827 | + | 0.262209i | ||||
\(333\) | −24.6754 | + | 13.4817i | −1.35220 | + | 0.738794i | ||||
\(334\) | 7.66379 | + | 17.3173i | 0.419344 | + | 0.947559i | ||||
\(335\) | −1.59857 | + | 0.140747i | −0.0873392 | + | 0.00768983i | ||||
\(336\) | −10.4193 | + | 15.3389i | −0.568417 | + | 0.836803i | ||||
\(337\) | 21.2843 | + | 15.4640i | 1.15943 | + | 0.842376i | 0.989706 | − | 0.143116i | \(-0.0457122\pi\) |
0.169725 | + | 0.985492i | \(0.445712\pi\) | |||||||
\(338\) | −0.350709 | − | 0.792469i | −0.0190760 | − | 0.0431046i | ||||
\(339\) | 0.561558 | + | 0.0360655i | 0.0304996 | + | 0.00195881i | ||||
\(340\) | 7.39124 | − | 2.22809i | 0.400846 | − | 0.120835i | ||||
\(341\) | 1.76781 | − | 2.43318i | 0.0957321 | − | 0.131764i | ||||
\(342\) | −0.797696 | + | 30.9257i | −0.0431345 | + | 1.67227i | ||||
\(343\) | − | 18.2979i | − | 0.987993i | ||||||
\(344\) | −2.11128 | − | 6.64931i | −0.113833 | − | 0.358507i | ||||
\(345\) | −26.1286 | − | 18.0539i | −1.40672 | − | 0.971989i | ||||
\(346\) | −15.7337 | − | 17.5528i | −0.845848 | − | 0.943644i | ||||
\(347\) | −0.424321 | + | 1.30593i | −0.0227787 | + | 0.0701058i | −0.961800 | − | 0.273754i | \(-0.911735\pi\) |
0.939021 | + | 0.343860i | \(0.111735\pi\) | |||||||
\(348\) | −9.40298 | − | 19.2202i | −0.504053 | − | 1.03031i | ||||
\(349\) | 6.04822 | 0.323754 | 0.161877 | − | 0.986811i | \(-0.448245\pi\) | ||||
0.161877 | + | 0.986811i | \(0.448245\pi\) | |||||||
\(350\) | 6.49295 | − | 17.7767i | 0.347063 | − | 0.950203i | ||||
\(351\) | −15.9914 | − | 8.87299i | −0.853558 | − | 0.473605i | ||||
\(352\) | 5.39822 | − | 11.7687i | 0.287726 | − | 0.627274i | ||||
\(353\) | −7.89521 | − | 2.56531i | −0.420219 | − | 0.136538i | 0.0912719 | − | 0.995826i | \(-0.470907\pi\) |
−0.511491 | + | 0.859288i | \(0.670907\pi\) | |||||||
\(354\) | −0.0392710 | − | 1.02358i | −0.00208723 | − | 0.0544025i | ||||
\(355\) | −0.0254229 | + | 0.0423638i | −0.00134931 | + | 0.00224844i | ||||
\(356\) | 17.0334 | + | 15.4754i | 0.902768 | + | 0.820196i | ||||
\(357\) | 5.10882 | − | 6.15913i | 0.270387 | − | 0.325976i | ||||
\(358\) | 6.30220 | − | 29.3269i | 0.333081 | − | 1.54997i | ||||
\(359\) | −8.76883 | − | 6.37093i | −0.462801 | − | 0.336245i | 0.331828 | − | 0.943340i | \(-0.392335\pi\) |
−0.794629 | + | 0.607095i | \(0.792335\pi\) | |||||||
\(360\) | 6.70737 | − | 17.7486i | 0.353510 | − | 0.935431i | ||||
\(361\) | 27.6429 | − | 20.0837i | 1.45489 | − | 1.05704i | ||||
\(362\) | −10.1668 | − | 22.9732i | −0.534357 | − | 1.20744i | ||||
\(363\) | 9.66833 | − | 2.46897i | 0.507456 | − | 0.129587i | ||||
\(364\) | −7.73971 | + | 17.1765i | −0.405671 | + | 0.900295i | ||||
\(365\) | −11.8941 | + | 5.05651i | −0.622566 | + | 0.264670i | ||||
\(366\) | 18.6182 | + | 5.26940i | 0.973187 | + | 0.275436i | ||||
\(367\) | 8.52995 | − | 2.77155i | 0.445260 | − | 0.144674i | −0.0778012 | − | 0.996969i | \(-0.524790\pi\) |
0.523061 | + | 0.852295i | \(0.324790\pi\) | |||||||
\(368\) | −16.6538 | + | 28.2584i | −0.868139 | + | 1.47307i | ||||
\(369\) | −11.2076 | − | 20.5131i | −0.583443 | − | 1.06787i | ||||
\(370\) | −21.6427 | − | 20.2503i | −1.12515 | − | 1.05276i | ||||
\(371\) | 0.619563 | − | 1.90682i | 0.0321661 | − | 0.0989972i | ||||
\(372\) | −4.02162 | − | 2.13212i | −0.208511 | − | 0.110545i | ||||
\(373\) | 2.04089 | − | 1.48279i | 0.105673 | − | 0.0767762i | −0.533694 | − | 0.845678i | \(-0.679196\pi\) |
0.639367 | + | 0.768902i | \(0.279196\pi\) | |||||||
\(374\) | −2.80459 | + | 4.83271i | −0.145022 | + | 0.249894i | ||||
\(375\) | −2.21894 | + | 19.2374i | −0.114586 | + | 0.993413i | ||||
\(376\) | 0.110757 | − | 16.5102i | 0.00571186 | − | 0.851446i | ||||
\(377\) | −12.7781 | − | 17.5876i | −0.658107 | − | 0.905807i | ||||
\(378\) | −4.37334 | − | 19.1754i | −0.224940 | − | 0.986275i | ||||
\(379\) | −26.3233 | − | 8.55294i | −1.35213 | − | 0.439335i | −0.458725 | − | 0.888578i | \(-0.651694\pi\) |
−0.893410 | + | 0.449243i | \(0.851694\pi\) | |||||||
\(380\) | −31.2216 | + | 9.41175i | −1.60163 | + | 0.482813i | ||||
\(381\) | 2.63704 | − | 6.63511i | 0.135100 | − | 0.339927i | ||||
\(382\) | 8.19285 | + | 4.75460i | 0.419182 | + | 0.243267i | ||||
\(383\) | −6.76658 | − | 20.8254i | −0.345756 | − | 1.06413i | −0.961178 | − | 0.275930i | \(-0.911014\pi\) |
0.615422 | − | 0.788198i | \(-0.288986\pi\) | |||||||
\(384\) | −18.7820 | − | 5.58900i | −0.958464 | − | 0.285213i | ||||
\(385\) | 5.35926 | + | 12.6062i | 0.273133 | + | 0.642474i | ||||
\(386\) | −7.54514 | + | 0.775972i | −0.384038 | + | 0.0394960i | ||||
\(387\) | 6.68716 | + | 3.16807i | 0.339927 | + | 0.161042i | ||||
\(388\) | −1.80907 | + | 16.5019i | −0.0918416 | + | 0.837757i | ||||
\(389\) | 0.458545 | + | 0.631134i | 0.0232492 | + | 0.0319997i | 0.820483 | − | 0.571670i | \(-0.193704\pi\) |
−0.797234 | + | 0.603670i | \(0.793704\pi\) | |||||||
\(390\) | 3.60269 | − | 18.9377i | 0.182429 | − | 0.958949i | ||||
\(391\) | 8.32016 | − | 11.4517i | 0.420769 | − | 0.579138i | ||||
\(392\) | −0.440390 | + | 0.139832i | −0.0222431 | + | 0.00706260i | ||||
\(393\) | −14.4220 | + | 17.3870i | −0.727495 | + | 0.877059i | ||||
\(394\) | 24.0793 | + | 5.17452i | 1.21310 | + | 0.260689i | ||||
\(395\) | 19.7739 | + | 11.8665i | 0.994933 | + | 0.597068i | ||||
\(396\) | 5.23203 | + | 12.6974i | 0.262919 | + | 0.638070i | ||||
\(397\) | 8.07064 | − | 24.8389i | 0.405054 | − | 1.24663i | −0.515796 | − | 0.856711i | \(-0.672504\pi\) |
0.920850 | − | 0.389917i | \(-0.127496\pi\) | |||||||
\(398\) | −0.0799988 | − | 0.777865i | −0.00400998 | − | 0.0389909i | ||||
\(399\) | −21.5803 | + | 26.0170i | −1.08037 | + | 1.30248i | ||||
\(400\) | 19.9817 | + | 0.854655i | 0.999087 | + | 0.0427327i | ||||
\(401\) | − | 34.6680i | − | 1.73124i | −0.500706 | − | 0.865618i | \(-0.666926\pi\) | ||
0.500706 | − | 0.865618i | \(-0.333074\pi\) | |||||||
\(402\) | −1.46076 | − | 0.977996i | −0.0728559 | − | 0.0487780i | ||||
\(403\) | −4.39836 | − | 1.42911i | −0.219098 | − | 0.0711893i | ||||
\(404\) | −3.33474 | − | 16.0412i | −0.165910 | − | 0.798078i | ||||
\(405\) | 8.92696 | + | 18.0363i | 0.443584 | + | 0.896233i | ||||
\(406\) | 4.91199 | − | 22.8577i | 0.243778 | − | 1.13441i | ||||
\(407\) | 21.4528 | 1.06338 | ||||||||
\(408\) | 7.83754 | + | 3.17597i | 0.388016 | + | 0.157234i | ||||
\(409\) | 0.542682 | + | 0.394282i | 0.0268339 | + | 0.0194960i | 0.601121 | − | 0.799158i | \(-0.294721\pi\) |
−0.574287 | + | 0.818654i | \(0.694721\pi\) | |||||||
\(410\) | 16.8344 | − | 17.9919i | 0.831393 | − | 0.888556i | ||||
\(411\) | −14.2536 | − | 0.915424i | −0.703079 | − | 0.0451546i | ||||
\(412\) | −24.1918 | − | 2.65210i | −1.19185 | − | 0.130660i | ||||
\(413\) | 0.657872 | − | 0.905483i | 0.0323718 | − | 0.0445559i | ||||
\(414\) | −9.89408 | − | 33.3539i | −0.486268 | − | 1.63925i | ||||
\(415\) | −0.539580 | − | 6.12842i | −0.0264869 | − | 0.300832i | ||||
\(416\) | −19.7760 | − | 2.30236i | −0.969598 | − | 0.112883i | ||||
\(417\) | 7.40966 | − | 18.6436i | 0.362853 | − | 0.912981i | ||||
\(418\) | 11.8470 | − | 20.4140i | 0.579455 | − | 0.998483i | ||||
\(419\) | 0.661155 | + | 2.03483i | 0.0322996 | + | 0.0994078i | 0.965907 | − | 0.258891i | \(-0.0833570\pi\) |
−0.933607 | + | 0.358299i | \(0.883357\pi\) | |||||||
\(420\) | 17.7517 | − | 10.7088i | 0.866195 | − | 0.522536i | ||||
\(421\) | −2.38764 | + | 7.34841i | −0.116367 | + | 0.358140i | −0.992230 | − | 0.124420i | \(-0.960293\pi\) |
0.875863 | + | 0.482560i | \(0.160293\pi\) | |||||||
\(422\) | 9.97445 | + | 11.1277i | 0.485549 | + | 0.541687i | ||||
\(423\) | 12.7344 | + | 12.0211i | 0.619169 | + | 0.584485i | ||||
\(424\) | 2.11875 | + | 0.0142135i | 0.102896 | + | 0.000690268i | ||||
\(425\) | −8.54829 | − | 1.19175i | −0.414653 | − | 0.0578084i | ||||
\(426\) | −0.0507943 | + | 0.0186858i | −0.00246099 | + | 0.000905331i | ||||
\(427\) | 12.4271 | + | 17.1045i | 0.601391 | + | 0.827744i | ||||
\(428\) | −8.68921 | + | 1.80637i | −0.420009 | + | 0.0873142i | ||||
\(429\) | 7.46099 | + | 11.7906i | 0.360220 | + | 0.569255i | ||||
\(430\) | −0.963602 | + | 7.74016i | −0.0464690 | + | 0.373264i | ||||
\(431\) | −10.3765 | − | 31.9356i | −0.499819 | − | 1.53828i | −0.809310 | − | 0.587381i | \(-0.800159\pi\) |
0.309492 | − | 0.950902i | \(-0.399841\pi\) | |||||||
\(432\) | 17.9154 | − | 10.5375i | 0.861954 | − | 0.506987i | ||||
\(433\) | 7.66365 | + | 23.5863i | 0.368291 | + | 1.13348i | 0.947894 | + | 0.318585i | \(0.103208\pi\) |
−0.579603 | + | 0.814899i | \(0.696792\pi\) | |||||||
\(434\) | −2.01278 | − | 4.54813i | −0.0966166 | − | 0.218317i | ||||
\(435\) | 0.566508 | + | 23.9158i | 0.0271620 | + | 1.14668i | ||||
\(436\) | −28.2730 | − | 12.7397i | −1.35403 | − | 0.610123i | ||||
\(437\) | −35.1455 | + | 48.3736i | −1.68124 | + | 2.31402i | ||||
\(438\) | −13.6228 | − | 3.85559i | −0.650922 | − | 0.184227i | ||||
\(439\) | 0.770658 | + | 1.06072i | 0.0367815 | + | 0.0506254i | 0.827012 | − | 0.562185i | \(-0.190039\pi\) |
−0.790230 | + | 0.612810i | \(0.790039\pi\) | |||||||
\(440\) | −10.9834 | + | 9.42967i | −0.523614 | + | 0.449542i | ||||
\(441\) | 0.209824 | − | 0.442897i | 0.00999163 | − | 0.0210903i | ||||
\(442\) | 8.40017 | + | 1.80515i | 0.399555 | + | 0.0858624i | ||||
\(443\) | 5.40886 | 0.256983 | 0.128491 | − | 0.991711i | \(-0.458987\pi\) | ||||
0.128491 | + | 0.991711i | \(0.458987\pi\) | |||||||
\(444\) | −4.55743 | − | 32.1466i | −0.216286 | − | 1.52561i | ||||
\(445\) | −10.0666 | − | 23.6790i | −0.477202 | − | 1.12249i | ||||
\(446\) | 0.324436 | + | 0.361947i | 0.0153625 | + | 0.0171387i | ||||
\(447\) | 14.8589 | − | 9.40259i | 0.702802 | − | 0.444727i | ||||
\(448\) | −12.3519 | − | 17.4896i | −0.583571 | − | 0.826306i | ||||
\(449\) | − | 4.98553i | − | 0.235282i | −0.993056 | − | 0.117641i | \(-0.962467\pi\) | ||
0.993056 | − | 0.117641i | \(-0.0375332\pi\) | |||||||
\(450\) | −15.1081 | + | 14.8912i | −0.712200 | + | 0.701976i | ||||
\(451\) | 17.8341i | 0.839774i | ||||||||
\(452\) | −0.266936 | + | 0.592404i | −0.0125556 | + | 0.0278643i | ||||
\(453\) | 23.5658 | − | 14.9123i | 1.10722 | − | 0.700639i | ||||
\(454\) | −13.3514 | + | 11.9677i | −0.626611 | + | 0.561671i | ||||
\(455\) | 15.8892 | − | 13.8277i | 0.744896 | − | 0.648251i | ||||
\(456\) | −33.1068 | − | 13.4157i | −1.55037 | − | 0.628250i | ||||
\(457\) | −28.9239 | −1.35300 | −0.676501 | − | 0.736441i | \(-0.736505\pi\) | ||||
−0.676501 | + | 0.736441i | \(0.736505\pi\) | |||||||
\(458\) | −8.31072 | + | 38.6734i | −0.388335 | + | 1.80709i | ||||
\(459\) | −8.13078 | + | 3.78727i | −0.379512 | + | 0.176775i | ||||
\(460\) | 30.1224 | − | 20.9165i | 1.40447 | − | 0.975236i | ||||
\(461\) | 12.1101 | + | 16.6681i | 0.564022 | + | 0.776310i | 0.991831 | − | 0.127559i | \(-0.0407143\pi\) |
−0.427809 | + | 0.903869i | \(0.640714\pi\) | |||||||
\(462\) | −4.08643 | + | 14.4384i | −0.190118 | + | 0.671736i | ||||
\(463\) | 0.364485 | − | 0.501670i | 0.0169390 | − | 0.0233146i | −0.800463 | − | 0.599382i | \(-0.795413\pi\) |
0.817403 | + | 0.576067i | \(0.195413\pi\) | |||||||
\(464\) | 24.5939 | − | 2.36271i | 1.14174 | − | 0.109686i | ||||
\(465\) | 3.08797 | + | 4.04520i | 0.143201 | + | 0.187592i | ||||
\(466\) | −3.55201 | + | 1.57195i | −0.164544 | + | 0.0728192i | ||||
\(467\) | −12.8476 | − | 39.5410i | −0.594518 | − | 1.82974i | −0.557112 | − | 0.830438i | \(-0.688090\pi\) |
−0.0374063 | − | 0.999300i | \(-0.511910\pi\) | |||||||
\(468\) | 16.0830 | − | 13.6849i | 0.743436 | − | 0.632587i | ||||
\(469\) | −0.593560 | − | 1.82679i | −0.0274080 | − | 0.0843533i | ||||
\(470\) | −7.82940 | + | 16.7167i | −0.361143 | + | 0.771083i | ||||
\(471\) | −15.6741 | − | 24.7697i | −0.722224 | − | 1.14133i | ||||
\(472\) | 1.12243 | + | 0.373041i | 0.0516639 | + | 0.0171706i | ||||
\(473\) | −3.31838 | − | 4.56736i | −0.152579 | − | 0.210007i | ||||
\(474\) | 8.72186 | + | 23.7090i | 0.400608 | + | 1.08899i | ||||
\(475\) | 36.1091 | + | 5.03412i | 1.65680 | + | 0.230981i | ||||
\(476\) | 4.58423 | + | 8.02276i | 0.210118 | + | 0.367723i | ||||
\(477\) | −1.54267 | + | 1.63421i | −0.0706339 | + | 0.0748254i | ||||
\(478\) | 1.05345 | − | 0.944271i | 0.0481836 | − | 0.0431900i | ||||
\(479\) | −2.79806 | + | 8.61154i | −0.127847 | + | 0.393471i | −0.994409 | − | 0.105598i | \(-0.966324\pi\) |
0.866562 | + | 0.499069i | \(0.166324\pi\) | |||||||
\(480\) | 16.4635 | + | 14.4552i | 0.751452 | + | 0.659787i | ||||
\(481\) | −10.1938 | − | 31.3732i | −0.464797 | − | 1.43050i | ||||
\(482\) | 19.0051 | + | 11.0293i | 0.865658 | + | 0.502372i | ||||
\(483\) | 14.0399 | − | 35.3262i | 0.638839 | − | 1.60740i | ||||
\(484\) | −1.25564 | + | 11.4537i | −0.0570747 | + | 0.520621i | ||||
\(485\) | 9.55043 | − | 15.9145i | 0.433663 | − | 0.722640i | ||||
\(486\) | −4.77215 | + | 21.5227i | −0.216469 | + | 0.976290i | ||||
\(487\) | −8.79857 | + | 12.1102i | −0.398701 | + | 0.548765i | −0.960417 | − | 0.278565i | \(-0.910141\pi\) |
0.561716 | + | 0.827330i | \(0.310141\pi\) | |||||||
\(488\) | −13.2538 | + | 17.9872i | −0.599970 | + | 0.814244i | ||||
\(489\) | 8.05259 | + | 0.517170i | 0.364151 | + | 0.0233872i | ||||
\(490\) | 0.512638 | + | 0.0638203i | 0.0231586 | + | 0.00288311i | ||||
\(491\) | 14.2576 | + | 10.3587i | 0.643435 | + | 0.467483i | 0.861029 | − | 0.508556i | \(-0.169821\pi\) |
−0.217593 | + | 0.976040i | \(0.569821\pi\) | |||||||
\(492\) | 26.7240 | − | 3.78866i | 1.20481 | − | 0.170806i | ||||
\(493\) | −10.6623 | −0.480206 | ||||||||
\(494\) | −35.4835 | − | 7.62521i | −1.59648 | − | 0.343074i | ||||
\(495\) | 0.620947 | − | 15.3415i | 0.0279095 | − | 0.689551i | ||||
\(496\) | 3.93729 | − | 3.48189i | 0.176790 | − | 0.156342i | ||||
\(497\) | −0.0562426 | − | 0.0182743i | −0.00252283 | − | 0.000819716i | ||||
\(498\) | 3.74933 | − | 5.60008i | 0.168012 | − | 0.250946i | ||||
\(499\) | − | 37.6563i | − | 1.68573i | −0.538127 | − | 0.842864i | \(-0.680868\pi\) | ||
0.538127 | − | 0.842864i | \(-0.319132\pi\) | |||||||
\(500\) | −19.8949 | − | 10.2076i | −0.889725 | − | 0.456496i | ||||
\(501\) | 14.8073 | − | 17.8515i | 0.661542 | − | 0.797547i | ||||
\(502\) | 3.10972 | − | 0.319816i | 0.138794 | − | 0.0142741i | ||||
\(503\) | −8.99503 | + | 27.6838i | −0.401068 | + | 1.23436i | 0.523065 | + | 0.852293i | \(0.324788\pi\) |
−0.924134 | + | 0.382069i | \(0.875212\pi\) | |||||||
\(504\) | 22.5038 | + | 3.05615i | 1.00240 | + | 0.136132i | ||||
\(505\) | −4.11079 | + | 17.8508i | −0.182928 | + | 0.794350i | ||||
\(506\) | −5.57673 | + | 25.9510i | −0.247916 | + | 1.15366i | ||||
\(507\) | −0.677609 | + | 0.816917i | −0.0300937 | + | 0.0362805i | ||||
\(508\) | 6.10211 | + | 5.54398i | 0.270738 | + | 0.245975i | ||||
\(509\) | 10.9017 | − | 15.0049i | 0.483209 | − | 0.665080i | −0.495909 | − | 0.868375i | \(-0.665165\pi\) |
0.979118 | + | 0.203295i | \(0.0651650\pi\) | |||||||
\(510\) | −6.47569 | − | 6.88896i | −0.286748 | − | 0.305048i | ||||
\(511\) | −9.09285 | − | 12.5152i | −0.402244 | − | 0.553642i | ||||
\(512\) | 13.6658 | − | 18.0346i | 0.603947 | − | 0.797025i | ||||
\(513\) | 34.3455 | − | 15.9980i | 1.51639 | − | 0.706327i | ||||
\(514\) | 1.87003 | + | 18.1832i | 0.0824834 | + | 0.802024i | ||||
\(515\) | 23.3307 | + | 14.0010i | 1.02807 | + | 0.616956i | ||||
\(516\) | −6.13915 | + | 5.94282i | −0.270261 | + | 0.261618i | ||||
\(517\) | −4.12873 | − | 12.7069i | −0.181581 | − | 0.558850i | ||||
\(518\) | 17.8069 | − | 30.6837i | 0.782388 | − | 1.34817i | ||||
\(519\) | −10.6627 | + | 26.8287i | −0.468042 | + | 1.17765i | ||||
\(520\) | 19.0092 | + | 11.5818i | 0.833611 | + | 0.507894i | ||||
\(521\) | −15.9028 | − | 5.16714i | −0.696715 | − | 0.226377i | −0.0608165 | − | 0.998149i | \(-0.519370\pi\) |
−0.635899 | + | 0.771772i | \(0.719370\pi\) | |||||||
\(522\) | −15.9450 | + | 20.7967i | −0.697892 | + | 0.910248i | ||||
\(523\) | −14.7263 | − | 20.2690i | −0.643936 | − | 0.886302i | 0.354882 | − | 0.934911i | \(-0.384521\pi\) |
−0.998818 | + | 0.0486095i | \(0.984521\pi\) | |||||||
\(524\) | −12.9411 | − | 22.6480i | −0.565336 | − | 0.989383i | ||||
\(525\) | −23.0348 | + | 2.57912i | −1.00532 | + | 0.112562i | ||||
\(526\) | 17.9933 | + | 10.4422i | 0.784547 | + | 0.455300i | ||||
\(527\) | −1.83504 | + | 1.33323i | −0.0799355 | + | 0.0580765i | ||||
\(528\) | −15.8497 | + | 0.501642i | −0.689770 | + | 0.0218312i | ||||
\(529\) | 13.6719 | − | 42.0776i | 0.594428 | − | 1.82946i | ||||
\(530\) | −2.14526 | − | 1.00475i | −0.0931839 | − | 0.0436435i | ||||
\(531\) | −1.10094 | + | 0.601511i | −0.0477766 | + | 0.0261034i | ||||
\(532\) | −19.3644 | − | 33.8892i | −0.839553 | − | 1.46928i | ||||
\(533\) | 26.0811 | − | 8.47426i | 1.12970 | − | 0.367061i | ||||
\(534\) | 7.67578 | − | 27.1205i | 0.332163 | − | 1.17362i | ||||
\(535\) | 9.66945 | + | 2.22674i | 0.418047 | + | 0.0962704i | ||||
\(536\) | 1.65017 | − | 1.18209i | 0.0712764 | − | 0.0510583i | ||||
\(537\) | −35.5956 | + | 9.08994i | −1.53606 | + | 0.392260i | ||||
\(538\) | −22.6765 | + | 10.0355i | −0.977652 | + | 0.432662i | ||||
\(539\) | −0.302501 | + | 0.219780i | −0.0130296 | + | 0.00946658i | ||||
\(540\) | −23.1209 | + | 2.32867i | −0.994966 | + | 0.100210i | ||||
\(541\) | 7.95973 | + | 5.78309i | 0.342216 | + | 0.248634i | 0.745596 | − | 0.666398i | \(-0.232165\pi\) |
−0.403380 | + | 0.915032i | \(0.632165\pi\) | |||||||
\(542\) | −4.92301 | − | 1.05793i | −0.211461 | − | 0.0454420i | ||||
\(543\) | −19.6435 | + | 23.6819i | −0.842981 | + | 1.01629i | ||||
\(544\) | −6.61466 | + | 7.18317i | −0.283601 | + | 0.307976i | ||||
\(545\) | 22.7607 | + | 26.1539i | 0.974960 | + | 1.12031i | ||||
\(546\) | 23.0569 | − | 0.884614i | 0.986746 | − | 0.0378580i | ||||
\(547\) | −12.5604 | − | 4.08111i | −0.537043 | − | 0.174496i | 0.0279231 | − | 0.999610i | \(-0.491111\pi\) |
−0.564966 | + | 0.825114i | \(0.691111\pi\) | |||||||
\(548\) | 6.77544 | − | 15.0366i | 0.289433 | − | 0.642330i | ||||
\(549\) | −4.37987 | − | 23.2899i | −0.186928 | − | 0.993990i | ||||
\(550\) | 15.5627 | − | 4.44350i | 0.663596 | − | 0.189471i | ||||
\(551\) | 45.0390 | 1.91873 | ||||||||
\(552\) | 40.0718 | + | 2.84361i | 1.70557 | + | 0.121032i | ||||
\(553\) | −8.52980 | + | 26.2520i | −0.362724 | + | 1.11635i | ||||
\(554\) | −18.1616 | + | 16.2794i | −0.771614 | + | 0.691646i | ||||
\(555\) | −10.3968 | + | 34.7797i | −0.441317 | + | 1.47632i | ||||
\(556\) | 17.1460 | + | 15.5777i | 0.727151 | + | 0.660642i | ||||
\(557\) | − | 20.6966i | − | 0.876944i | −0.898745 | − | 0.438472i | \(-0.855520\pi\) | ||
0.898745 | − | 0.438472i | \(-0.144480\pi\) | |||||||
\(558\) | −0.143750 | + | 5.57301i | −0.00608543 | + | 0.235924i | ||||
\(559\) | −5.10264 | + | 7.02318i | −0.215819 | + | 0.297049i | ||||
\(560\) | 4.37039 | + | 23.5365i | 0.184683 | + | 0.994600i | ||||
\(561\) | 6.82927 | + | 0.438603i | 0.288332 | + | 0.0185178i | ||||
\(562\) | −9.86820 | + | 4.36719i | −0.416265 | + | 0.184219i | ||||
\(563\) | −33.0338 | − | 24.0005i | −1.39221 | − | 1.01150i | −0.995619 | − | 0.0935044i | \(-0.970193\pi\) |
−0.396591 | − | 0.917995i | \(-0.629807\pi\) | |||||||
\(564\) | −18.1640 | + | 8.88628i | −0.764842 | + | 0.374180i | ||||
\(565\) | 0.548004 | − | 0.476905i | 0.0230547 | − | 0.0200635i | ||||
\(566\) | −25.7898 | + | 11.4133i | −1.08403 | + | 0.479738i | ||||
\(567\) | −18.6400 | + | 15.2573i | −0.782805 | + | 0.640744i | ||||
\(568\) | 0.000419234 | − | 0.0624937i | 1.75907e−5 | − | 0.00262218i | ||||
\(569\) | 6.61041 | − | 2.14785i | 0.277123 | − | 0.0900426i | −0.167158 | − | 0.985930i | \(-0.553459\pi\) |
0.444281 | + | 0.895887i | \(0.353459\pi\) | |||||||
\(570\) | 27.3542 | + | 29.0999i | 1.14574 | + | 1.21886i | ||||
\(571\) | 23.5527 | + | 7.65273i | 0.985649 | + | 0.320257i | 0.757117 | − | 0.653280i | \(-0.226607\pi\) |
0.228532 | + | 0.973536i | \(0.426607\pi\) | |||||||
\(572\) | −15.7742 | + | 3.27925i | −0.659553 | + | 0.137112i | ||||
\(573\) | 0.743560 | − | 11.5776i | 0.0310626 | − | 0.483661i | ||||
\(574\) | 25.5079 | + | 14.8031i | 1.06468 | + | 0.617871i | ||||
\(575\) | −40.3701 | + | 7.16436i | −1.68355 | + | 0.298774i | ||||
\(576\) | 4.11881 | + | 23.6439i | 0.171617 | + | 0.985164i | ||||
\(577\) | −13.0154 | + | 9.45623i | −0.541838 | + | 0.393668i | −0.824767 | − | 0.565473i | \(-0.808694\pi\) |
0.282929 | + | 0.959141i | \(0.408694\pi\) | |||||||
\(578\) | −14.7644 | + | 13.2343i | −0.614120 | + | 0.550474i | ||||
\(579\) | 4.96739 | + | 7.84997i | 0.206438 | + | 0.326234i | ||||
\(580\) | −26.0830 | − | 9.09559i | −1.08304 | − | 0.377674i | ||||
\(581\) | 7.00334 | − | 2.27552i | 0.290547 | − | 0.0944046i | ||||
\(582\) | 19.0815 | − | 7.01955i | 0.790954 | − | 0.290970i | ||||
\(583\) | 1.63068 | − | 0.529841i | 0.0675360 | − | 0.0219438i | ||||
\(584\) | 9.69770 | − | 13.1612i | 0.401293 | − | 0.544612i | ||||
\(585\) | −22.7310 | + | 6.38178i | −0.939811 | + | 0.263854i | ||||
\(586\) | 1.55350 | + | 15.1054i | 0.0641743 | + | 0.623997i | ||||
\(587\) | 8.32167 | + | 6.04605i | 0.343472 | + | 0.249547i | 0.746125 | − | 0.665806i | \(-0.231912\pi\) |
−0.402653 | + | 0.915353i | \(0.631912\pi\) | |||||||
\(588\) | 0.393599 | + | 0.406602i | 0.0162317 | + | 0.0167680i | ||||
\(589\) | 7.75144 | − | 5.63175i | 0.319393 | − | 0.232052i | ||||
\(590\) | −0.965625 | − | 0.903504i | −0.0397542 | − | 0.0371967i | ||||
\(591\) | −7.46345 | − | 29.2264i | −0.307005 | − | 1.20221i | ||||
\(592\) | 36.6005 | + | 8.12249i | 1.50427 | + | 0.333832i | ||||
\(593\) | 3.83939i | 0.157665i | 0.996888 | + | 0.0788325i | \(0.0251192\pi\) | ||||
−0.996888 | + | 0.0788325i | \(0.974881\pi\) | |||||||
\(594\) | 11.0683 | − | 12.6645i | 0.454139 | − | 0.519632i | ||||
\(595\) | −0.906073 | − | 10.2910i | −0.0371454 | − | 0.421888i | ||||
\(596\) | 4.13262 | + | 19.8792i | 0.169279 | + | 0.814284i | ||||
\(597\) | −0.809291 | + | 0.512113i | −0.0331221 | + | 0.0209594i | ||||
\(598\) | 40.6014 | − | 4.17561i | 1.66031 | − | 0.170753i | ||||
\(599\) | −46.4231 | −1.89680 | −0.948399 | − | 0.317079i | \(-0.897298\pi\) | ||||
−0.948399 | + | 0.317079i | \(0.897298\pi\) | |||||||
\(600\) | −9.96463 | − | 22.3765i | −0.406804 | − | 0.913515i | ||||
\(601\) | 40.1233 | 1.63666 | 0.818332 | − | 0.574746i | \(-0.194899\pi\) | ||||
0.818332 | + | 0.574746i | \(0.194899\pi\) | |||||||
\(602\) | −9.28706 | + | 0.955118i | −0.378512 | + | 0.0389277i | ||||
\(603\) | −0.275413 | + | 2.13532i | −0.0112157 | + | 0.0869568i | ||||
\(604\) | 6.55423 | + | 31.5279i | 0.266688 | + | 1.28285i | ||||
\(605\) | 6.62878 | − | 11.0460i | 0.269498 | − | 0.449082i | ||||
\(606\) | −15.7699 | + | 12.4084i | −0.640609 | + | 0.504058i | ||||
\(607\) | − | 13.8983i | − | 0.564114i | −0.959398 | − | 0.282057i | \(-0.908983\pi\) | ||
0.959398 | − | 0.282057i | \(-0.0910168\pi\) | |||||||
\(608\) | 27.9412 | − | 30.3427i | 1.13317 | − | 1.23056i | ||||
\(609\) | −27.7436 | + | 7.08479i | −1.12423 | + | 0.287090i | ||||
\(610\) | 21.8684 | − | 12.0738i | 0.885427 | − | 0.488853i | ||||
\(611\) | −16.6211 | + | 12.0760i | −0.672419 | + | 0.488541i | ||||
\(612\) | −0.793567 | − | 10.3267i | −0.0320781 | − | 0.417433i | ||||
\(613\) | −31.0010 | − | 22.5236i | −1.25212 | − | 0.909719i | −0.253777 | − | 0.967263i | \(-0.581673\pi\) |
−0.998343 | + | 0.0575441i | \(0.981673\pi\) | |||||||
\(614\) | 3.72637 | + | 36.2333i | 0.150384 | + | 1.46226i | ||||
\(615\) | −28.9129 | − | 8.64299i | −1.16588 | − | 0.348519i | ||||
\(616\) | −13.9491 | − | 10.2783i | −0.562027 | − | 0.414125i | ||||
\(617\) | 22.7574 | − | 7.39434i | 0.916180 | − | 0.297685i | 0.187281 | − | 0.982306i | \(-0.440033\pi\) |
0.728899 | + | 0.684622i | \(0.240033\pi\) | |||||||
\(618\) | 10.2907 | + | 27.9735i | 0.413952 | + | 1.12526i | ||||
\(619\) | −18.4227 | + | 5.98591i | −0.740472 | + | 0.240594i | −0.654877 | − | 0.755736i | \(-0.727279\pi\) |
−0.0855958 | + | 0.996330i | \(0.527279\pi\) | |||||||
\(620\) | −5.62634 | + | 1.69606i | −0.225959 | + | 0.0681154i | ||||
\(621\) | −31.1748 | + | 29.0464i | −1.25100 | + | 1.16559i | ||||
\(622\) | −13.8909 | + | 12.4513i | −0.556974 | + | 0.499251i | ||||
\(623\) | 24.9156 | − | 18.1022i | 0.998221 | − | 0.725250i | ||||
\(624\) | 8.26496 | + | 22.9407i | 0.330863 | + | 0.918364i | ||||
\(625\) | 15.4350 | + | 19.6662i | 0.617402 | + | 0.786648i | ||||
\(626\) | 34.9735 | + | 20.2964i | 1.39782 | + | 0.811206i | ||||
\(627\) | −28.8478 | − | 1.85272i | −1.15207 | − | 0.0739905i | ||||
\(628\) | 33.1386 | − | 6.88907i | 1.32237 | − | 0.274904i | ||||
\(629\) | −15.3873 | − | 4.99963i | −0.613531 | − | 0.199348i | ||||
\(630\) | −21.4274 | − | 13.6223i | −0.853689 | − | 0.542727i | ||||
\(631\) | −40.4375 | + | 13.1389i | −1.60979 | + | 0.523053i | −0.969502 | − | 0.245082i | \(-0.921185\pi\) |
−0.640288 | + | 0.768135i | \(0.721185\pi\) | |||||||
\(632\) | −29.1698 | − | 0.195683i | −1.16031 | − | 0.00778386i | ||||
\(633\) | 6.75970 | − | 17.0082i | 0.268674 | − | 0.676015i | ||||
\(634\) | 5.63546 | − | 2.49398i | 0.223813 | − | 0.0990487i | ||||
\(635\) | −3.60630 | − | 8.48287i | −0.143112 | − | 0.336632i | ||||
\(636\) | −1.14038 | − | 2.33099i | −0.0452189 | − | 0.0924297i | ||||
\(637\) | 0.465152 | + | 0.337953i | 0.0184300 | + | 0.0133902i | ||||
\(638\) | 18.2834 | − | 8.09134i | 0.723845 | − | 0.320339i | ||||
\(639\) | 0.0482019 | + | 0.0455018i | 0.00190684 | + | 0.00180002i | ||||
\(640\) | −22.3090 | + | 11.9293i | −0.881840 | + | 0.471548i | ||||
\(641\) | 17.7437 | − | 24.4221i | 0.700834 | − | 0.964615i | −0.299112 | − | 0.954218i | \(-0.596690\pi\) |
0.999946 | − | 0.0103974i | \(-0.00330964\pi\) | |||||||
\(642\) | 6.72142 | + | 8.54227i | 0.265273 | + | 0.337137i | ||||
\(643\) | − | 23.0968i | − | 0.910848i | −0.890275 | − | 0.455424i | \(-0.849488\pi\) | ||
0.890275 | − | 0.455424i | \(-0.150512\pi\) | |||||||
\(644\) | 32.4884 | + | 29.5169i | 1.28022 | + | 1.16313i | ||||
\(645\) | 9.01289 | − | 3.16633i | 0.354882 | − | 0.124674i | ||||
\(646\) | −13.2549 | + | 11.8812i | −0.521508 | + | 0.467461i | ||||
\(647\) | 3.81823 | − | 11.7513i | 0.150110 | − | 0.461991i | −0.847523 | − | 0.530759i | \(-0.821907\pi\) |
0.997633 | + | 0.0687679i | \(0.0219068\pi\) | |||||||
\(648\) | −21.3289 | − | 13.8952i | −0.837878 | − | 0.545857i | ||||
\(649\) | 0.957155 | 0.0375716 | ||||||||
\(650\) | −13.8933 | − | 20.6480i | −0.544939 | − | 0.809879i | ||||
\(651\) | −3.88892 | + | 4.68843i | −0.152419 | + | 0.183754i | ||||
\(652\) | −3.82779 | + | 8.49492i | −0.149908 | + | 0.332687i | ||||
\(653\) | 36.9494 | + | 12.0056i | 1.44594 | + | 0.469816i | 0.923745 | − | 0.383008i | \(-0.125112\pi\) |
0.522199 | + | 0.852824i | \(0.325112\pi\) | |||||||
\(654\) | 1.45609 | + | 37.9522i | 0.0569378 | + | 1.48405i | ||||
\(655\) | 2.55782 | + | 29.0511i | 0.0999421 | + | 1.13512i | ||||
\(656\) | −6.75236 | + | 30.4266i | −0.263635 | + | 1.18796i | ||||
\(657\) | 3.20472 | + | 17.0411i | 0.125028 | + | 0.664836i | ||||
\(658\) | −21.6016 | − | 4.64207i | −0.842119 | − | 0.180967i | ||||
\(659\) | 25.6648 | + | 18.6466i | 0.999759 | + | 0.726367i | 0.962037 | − | 0.272921i | \(-0.0879897\pi\) |
0.0377226 | + | 0.999288i | \(0.487990\pi\) | |||||||
\(660\) | 16.3321 | + | 6.89873i | 0.635728 | + | 0.268533i | ||||
\(661\) | 4.99498 | − | 3.62906i | 0.194282 | − | 0.141154i | −0.486392 | − | 0.873741i | \(-0.661687\pi\) |
0.680674 | + | 0.732587i | \(0.261687\pi\) | |||||||
\(662\) | 33.4059 | − | 14.7838i | 1.29836 | − | 0.574590i | ||||
\(663\) | −2.60365 | − | 10.1957i | −0.101117 | − | 0.395970i | ||||
\(664\) | 4.53175 | + | 6.32623i | 0.175866 | + | 0.245505i | ||||
\(665\) | 3.82738 | + | 43.4704i | 0.148419 | + | 1.68571i | ||||
\(666\) | −32.7627 | + | 22.5361i | −1.26953 | + | 0.873254i | ||||
\(667\) | −48.1717 | + | 15.6519i | −1.86521 | + | 0.606045i | ||||
\(668\) | 13.2868 | + | 23.2530i | 0.514083 | + | 0.899687i | ||||
\(669\) | 0.219871 | − | 0.553221i | 0.00850069 | − | 0.0213887i | ||||
\(670\) | −2.22849 | + | 0.429283i | −0.0860942 | + | 0.0165847i | ||||
\(671\) | −5.58720 | + | 17.1956i | −0.215691 | + | 0.663830i | ||||
\(672\) | −12.4385 | + | 23.0861i | −0.479826 | + | 0.890564i | ||||
\(673\) | −34.1691 | + | 24.8253i | −1.31712 | + | 0.956946i | −0.317160 | + | 0.948372i | \(0.602729\pi\) |
−0.999963 | + | 0.00857423i | \(0.997271\pi\) | |||||||
\(674\) | 32.1800 | + | 18.6752i | 1.23953 | + | 0.719341i | ||||
\(675\) | 24.5711 | + | 8.44171i | 0.945741 | + | 0.324922i | ||||
\(676\) | −0.608029 | − | 1.06410i | −0.0233857 | − | 0.0409269i | ||||
\(677\) | −28.5615 | − | 39.3115i | −1.09771 | − | 1.51086i | −0.838391 | − | 0.545070i | \(-0.816503\pi\) |
−0.259315 | − | 0.965793i | \(-0.583497\pi\) | |||||||
\(678\) | 0.795214 | − | 0.0305096i | 0.0305400 | − | 0.00117171i | ||||
\(679\) | 21.1282 | + | 6.86497i | 0.810827 | + | 0.263454i | ||||
\(680\) | 10.0756 | − | 4.20383i | 0.386381 | − | 0.161209i | ||||
\(681\) | 20.4070 | + | 8.11051i | 0.781999 | + | 0.310795i | ||||
\(682\) | 2.13491 | − | 3.67874i | 0.0817498 | − | 0.140866i | ||||
\(683\) | 3.75080 | + | 11.5438i | 0.143520 | + | 0.441710i | 0.996818 | − | 0.0797145i | \(-0.0254009\pi\) |
−0.853298 | + | 0.521424i | \(0.825401\pi\) | |||||||
\(684\) | 3.35214 | + | 43.6214i | 0.128172 | + | 1.66791i | ||||
\(685\) | −13.9096 | + | 12.1049i | −0.531458 | + | 0.462505i | ||||
\(686\) | −2.64734 | − | 25.7414i | −0.101076 | − | 0.982809i | ||||
\(687\) | 46.9401 | − | 11.9869i | 1.79087 | − | 0.457330i | ||||
\(688\) | −3.93216 | − | 9.04875i | −0.149912 | − | 0.344980i | ||||
\(689\) | −1.54971 | − | 2.13299i | −0.0590393 | − | 0.0812606i | ||||
\(690\) | −39.3695 | − | 21.6178i | −1.49877 | − | 0.822976i | ||||
\(691\) | −3.28043 | + | 4.51512i | −0.124793 | + | 0.171763i | −0.866842 | − | 0.498582i | \(-0.833854\pi\) |
0.742049 | + | 0.670346i | \(0.233854\pi\) | |||||||
\(692\) | −24.6736 | − | 22.4168i | −0.937949 | − | 0.852159i | ||||
\(693\) | 18.0614 | − | 3.39659i | 0.686095 | − | 0.129026i | ||||
\(694\) | −0.407990 | + | 1.89856i | −0.0154871 | + | 0.0720683i | ||||
\(695\) | −10.1331 | − | 23.8355i | −0.384371 | − | 0.904132i | ||||
\(696\) | −16.0088 | − | 25.6784i | −0.606813 | − | 0.973336i | ||||
\(697\) | 4.15627 | − | 12.7917i | 0.157430 | − | 0.484520i | ||||
\(698\) | 8.50860 | − | 0.875058i | 0.322055 | − | 0.0331214i | ||||
\(699\) | 3.66159 | + | 3.03718i | 0.138494 | + | 0.114877i | ||||
\(700\) | 6.56231 | − | 25.9475i | 0.248032 | − | 0.980723i | ||||
\(701\) | − | 17.6170i | − | 0.665384i | −0.943036 | − | 0.332692i | \(-0.892043\pi\) | ||
0.943036 | − | 0.332692i | \(-0.107957\pi\) | |||||||
\(702\) | −23.7803 | − | 10.1688i | −0.897531 | − | 0.383798i | ||||
\(703\) | 64.9980 | + | 21.1191i | 2.45144 | + | 0.796523i | ||||
\(704\) | 5.89149 | − | 17.3372i | 0.222044 | − | 0.653419i | ||||
\(705\) | 22.6016 | − | 0.535377i | 0.851227 | − | 0.0201635i | ||||
\(706\) | −11.4781 | − | 2.46658i | −0.431983 | − | 0.0928309i | ||||
\(707\) | −21.9256 | −0.824597 | ||||||||
\(708\) | −0.203338 | − | 1.43428i | −0.00764189 | − | 0.0539035i | ||||
\(709\) | 7.54144 | + | 5.47917i | 0.283225 | + | 0.205775i | 0.720323 | − | 0.693639i | \(-0.243994\pi\) |
−0.437098 | + | 0.899414i | \(0.643994\pi\) | |||||||
\(710\) | −0.0296356 | + | 0.0632754i | −0.00111220 | + | 0.00237468i | ||||
\(711\) | 21.2386 | − | 22.4989i | 0.796509 | − | 0.843775i | ||||
\(712\) | 26.2015 | + | 19.3063i | 0.981941 | + | 0.723536i | ||||
\(713\) | −6.33345 | + | 8.71724i | −0.237189 | + | 0.326463i | ||||
\(714\) | 6.29595 | − | 9.40377i | 0.235620 | − | 0.351927i | ||||
\(715\) | 17.5537 | + | 4.04238i | 0.656472 | + | 0.151176i | ||||
\(716\) | 4.62287 | − | 42.1687i | 0.172765 | − | 1.57592i | ||||
\(717\) | −1.61015 | − | 0.639934i | −0.0601322 | − | 0.0238988i | ||||
\(718\) | −13.2577 | − | 7.69390i | −0.494772 | − | 0.287134i | ||||
\(719\) | −1.78258 | − | 5.48623i | −0.0664792 | − | 0.204602i | 0.912299 | − | 0.409525i | \(-0.134306\pi\) |
−0.978778 | + | 0.204923i | \(0.934306\pi\) | |||||||
\(720\) | 6.86803 | − | 25.9390i | 0.255956 | − | 0.966688i | ||||
\(721\) | −10.0641 | + | 30.9740i | −0.374806 | + | 1.15353i | ||||
\(722\) | 35.9821 | − | 32.2530i | 1.33912 | − | 1.20033i | ||||
\(723\) | 1.72485 | − | 26.8567i | 0.0641478 | − | 0.998813i | ||||
\(724\) | −17.6264 | − | 30.8476i | −0.655080 | − | 1.14644i | ||||
\(725\) | 22.2397 | + | 21.4292i | 0.825961 | + | 0.795859i | ||||
\(726\) | 13.2441 | − | 4.87215i | 0.491536 | − | 0.180822i | ||||
\(727\) | −11.1238 | − | 15.3106i | −0.412559 | − | 0.567839i | 0.551281 | − | 0.834320i | \(-0.314139\pi\) |
−0.963840 | + | 0.266481i | \(0.914139\pi\) | |||||||
\(728\) | −8.40307 | + | 25.2836i | −0.311439 | + | 0.937073i | ||||
\(729\) | 26.2035 | − | 6.50980i | 0.970499 | − | 0.241104i | ||||
\(730\) | −16.0010 | + | 8.83431i | −0.592223 | + | 0.326972i | ||||
\(731\) | 1.31571 | + | 4.04935i | 0.0486634 | + | 0.149771i | ||||
\(732\) | 26.9543 | + | 4.71928i | 0.996259 | + | 0.174430i | ||||
\(733\) | 1.69847 | + | 5.22735i | 0.0627343 | + | 0.193076i | 0.977511 | − | 0.210883i | \(-0.0676338\pi\) |
−0.914777 | + | 0.403959i | \(0.867634\pi\) | |||||||
\(734\) | 11.5989 | − | 5.13311i | 0.428123 | − | 0.189467i | ||||
\(735\) | −0.209709 | − | 0.596933i | −0.00773524 | − | 0.0220182i | ||||
\(736\) | −19.3400 | + | 42.1633i | −0.712882 | + | 1.55416i | ||||
\(737\) | 0.965518 | − | 1.32892i | 0.0355653 | − | 0.0489514i | ||||
\(738\) | −18.7346 | − | 27.2361i | −0.689630 | − | 1.00258i | ||||
\(739\) | −19.9136 | − | 27.4088i | −0.732535 | − | 1.00825i | −0.999014 | − | 0.0444072i | \(-0.985860\pi\) |
0.266478 | − | 0.963841i | \(-0.414140\pi\) | |||||||
\(740\) | −33.3766 | − | 25.3568i | −1.22695 | − | 0.932134i | ||||
\(741\) | 10.9982 | + | 43.0682i | 0.404028 | + | 1.58215i | ||||
\(742\) | 0.595719 | − | 2.77214i | 0.0218695 | − | 0.101768i | ||||
\(743\) | 30.2559 | 1.10998 | 0.554990 | − | 0.831857i | \(-0.312722\pi\) | ||||
0.554990 | + | 0.831857i | \(0.312722\pi\) | |||||||
\(744\) | −5.96607 | − | 2.41761i | −0.218727 | − | 0.0886337i | ||||
\(745\) | 5.09435 | − | 22.1218i | 0.186642 | − | 0.810480i | ||||
\(746\) | 2.65658 | − | 2.38126i | 0.0972644 | − | 0.0871842i | ||||
\(747\) | −8.18613 | − | 1.05585i | −0.299515 | − | 0.0386315i | ||||
\(748\) | −3.24629 | + | 7.20440i | −0.118696 | + | 0.263419i | ||||
\(749\) | 11.8767i | 0.433965i | ||||||||
\(750\) | −0.338328 | + | 27.3840i | −0.0123540 | + | 0.999924i | ||||
\(751\) | 12.7543i | 0.465412i | 0.972547 | + | 0.232706i | \(0.0747580\pi\) | ||||
−0.972547 | + | 0.232706i | \(0.925242\pi\) | |||||||
\(752\) | −2.23288 | − | 23.2424i | −0.0814248 | − | 0.847563i | ||||
\(753\) | −2.04730 | − | 3.23535i | −0.0746079 | − | 0.117903i | ||||
\(754\) | −20.5208 | − | 22.8934i | −0.747322 | − | 0.833727i | ||||
\(755\) | 8.07950 | − | 35.0846i | 0.294043 | − | 1.27686i | ||||
\(756\) | −8.92668 | − | 26.3431i | −0.324660 | − | 0.958088i | ||||
\(757\) | −11.9898 | −0.435777 | −0.217889 | − | 0.975974i | \(-0.569917\pi\) | ||||
−0.217889 | + | 0.975974i | \(0.569917\pi\) | |||||||
\(758\) | −38.2688 | − | 8.22377i | −1.38999 | − | 0.298701i | ||||
\(759\) | 31.4981 | − | 8.04357i | 1.14331 | − | 0.291963i | ||||
\(760\) | −42.5607 | + | 17.7575i | −1.54384 | + | 0.644133i | ||||
\(761\) | −5.47624 | − | 7.53739i | −0.198513 | − | 0.273230i | 0.698142 | − | 0.715959i | \(-0.254010\pi\) |
−0.896655 | + | 0.442729i | \(0.854010\pi\) | |||||||
\(762\) | 2.74980 | − | 9.71576i | 0.0996148 | − | 0.351965i | ||||
\(763\) | −24.3926 | + | 33.5735i | −0.883072 | + | 1.21544i | ||||
\(764\) | 12.2135 | + | 5.50340i | 0.441870 | + | 0.199106i | ||||
\(765\) | −4.02076 | + | 10.8592i | −0.145371 | + | 0.392615i | ||||
\(766\) | −12.5322 | − | 28.3180i | −0.452807 | − | 1.02317i | ||||
\(767\) | −0.454814 | − | 1.39977i | −0.0164224 | − | 0.0505428i | ||||
\(768\) | −27.2310 | − | 5.14519i | −0.982614 | − | 0.185661i | ||||
\(769\) | 5.08185 | + | 15.6403i | 0.183256 | + | 0.564005i | 0.999914 | − | 0.0131176i | \(-0.00417559\pi\) |
−0.816658 | + | 0.577122i | \(0.804176\pi\) | |||||||
\(770\) | 9.36324 | + | 16.9590i | 0.337428 | + | 0.611160i | ||||
\(771\) | 18.9178 | − | 11.9710i | 0.681306 | − | 0.431125i | ||||
\(772\) | −10.5022 | + | 2.18327i | −0.377982 | + | 0.0785774i | ||||
\(773\) | 12.8718 | + | 17.7165i | 0.462966 | + | 0.637219i | 0.975121 | − | 0.221675i | \(-0.0711524\pi\) |
−0.512154 | + | 0.858893i | \(0.671152\pi\) | |||||||
\(774\) | 9.86581 | + | 3.48932i | 0.354619 | + | 0.125421i | ||||
\(775\) | 6.50710 | + | 0.907181i | 0.233742 | + | 0.0325869i | ||||
\(776\) | −0.157490 | + | 23.4765i | −0.00565357 | + | 0.842757i | ||||
\(777\) | −43.3602 | − | 2.78477i | −1.55554 | − | 0.0999030i | ||||
\(778\) | 0.736391 | + | 0.821532i | 0.0264009 | + | 0.0294534i | ||||
\(779\) | −17.5567 | + | 54.0339i | −0.629033 | + | 1.93596i | ||||
\(780\) | 2.32833 | − | 27.1627i | 0.0833675 | − | 0.972580i | ||||
\(781\) | −0.0156279 | − | 0.0480978i | −0.000559211 | − | 0.00172107i | ||||
\(782\) | 10.0479 | − | 17.3140i | 0.359312 | − | 0.619146i | ||||
\(783\) | 31.5032 | + | 6.13739i | 1.12583 | + | 0.219332i | ||||
\(784\) | −0.599307 | + | 0.260431i | −0.0214038 | + | 0.00930111i | ||||
\(785\) | −36.8770 | − | 8.49226i | −1.31620 | − | 0.303102i | ||||
\(786\) | −17.7733 | + | 26.5465i | −0.633951 | + | 0.946884i | ||||
\(787\) | 12.9415 | − | 17.8125i | 0.461315 | − | 0.634946i | −0.513466 | − | 0.858110i | \(-0.671639\pi\) |
0.974781 | + | 0.223164i | \(0.0716387\pi\) | |||||||
\(788\) | 34.6233 | + | 3.79568i | 1.23340 | + | 0.135216i | ||||
\(789\) | 1.63302 | − | 25.4270i | 0.0581372 | − | 0.905225i | ||||
\(790\) | 29.5347 | + | 13.8328i | 1.05080 | + | 0.492149i | ||||
\(791\) | 0.703467 | + | 0.511099i | 0.0250124 | + | 0.0181726i | ||||
\(792\) | 9.19745 | + | 17.1057i | 0.326817 | + | 0.607824i | ||||
\(793\) | 27.8023 | 0.987288 | ||||||||
\(794\) | 7.76003 | − | 36.1108i | 0.275393 | − | 1.28153i | ||||
\(795\) | 0.0687051 | + | 2.90047i | 0.00243672 | + | 0.102869i | ||||
\(796\) | −0.225083 | − | 1.08272i | −0.00797787 | − | 0.0383761i | ||||
\(797\) | 33.0154 | + | 10.7274i | 1.16947 | + | 0.379983i | 0.828444 | − | 0.560072i | \(-0.189227\pi\) |
0.341023 | + | 0.940055i | \(0.389227\pi\) | |||||||
\(798\) | −26.5949 | + | 39.7228i | −0.941451 | + | 1.40617i | ||||
\(799\) | 10.0764i | 0.356477i | ||||||||
\(800\) | 28.2338 | − | 1.68864i | 0.998216 | − | 0.0597024i | ||||
\(801\) | −33.9257 | + | 6.38001i | −1.19871 | + | 0.225427i | ||||
\(802\) | −5.01577 | − | 48.7707i | −0.177113 | − | 1.72215i | ||||
\(803\) | 4.08812 | − | 12.5819i | 0.144267 | − | 0.444007i | ||||
\(804\) | −2.19648 | − | 1.16450i | −0.0774638 | − | 0.0410686i | ||||
\(805\) | −19.2004 | − | 45.1639i | −0.676725 | − | 1.59182i | ||||
\(806\) | −6.39435 | − | 1.37411i | −0.225231 | − | 0.0484011i | ||||
\(807\) | 23.3760 | + | 19.3897i | 0.822875 | + | 0.682551i | ||||
\(808\) | −7.01213 | − | 22.0841i | −0.246686 | − | 0.776917i | ||||
\(809\) | −1.65996 | + | 2.28474i | −0.0583611 | + | 0.0803272i | −0.837200 | − | 0.546897i | \(-0.815809\pi\) |
0.778839 | + | 0.627224i | \(0.215809\pi\) | |||||||
\(810\) | 15.1679 | + | 24.0818i | 0.532945 | + | 0.846150i | ||||
\(811\) | 4.51911 | + | 6.22003i | 0.158688 | + | 0.218415i | 0.880956 | − | 0.473198i | \(-0.156901\pi\) |
−0.722269 | + | 0.691613i | \(0.756901\pi\) | |||||||
\(812\) | 3.60311 | − | 32.8667i | 0.126444 | − | 1.15339i | ||||
\(813\) | 1.52590 | + | 5.97532i | 0.0535156 | + | 0.209564i | ||||
\(814\) | 30.1797 | − | 3.10380i | 1.05780 | − | 0.108788i | ||||
\(815\) | 7.85824 | − | 6.83869i | 0.275262 | − | 0.239549i | ||||
\(816\) | 11.4853 | + | 3.33400i | 0.402066 | + | 0.116713i | ||||
\(817\) | −5.55775 | − | 17.1050i | −0.194441 | − | 0.598428i | ||||
\(818\) | 0.820486 | + | 0.476157i | 0.0286876 | + | 0.0166485i | ||||
\(819\) | −13.5495 | − | 24.7995i | −0.473460 | − | 0.866566i | ||||
\(820\) | 21.0795 | − | 27.7465i | 0.736128 | − | 0.968949i | ||||
\(821\) | −27.3670 | − | 8.89206i | −0.955113 | − | 0.310335i | −0.210322 | − | 0.977632i | \(-0.567451\pi\) |
−0.744792 | + | 0.667297i | \(0.767451\pi\) | |||||||
\(822\) | −20.1843 | + | 0.774402i | −0.704009 | + | 0.0270104i | ||||
\(823\) | 17.2613 | + | 23.7581i | 0.601691 | + | 0.828156i | 0.995862 | − | 0.0908807i | \(-0.0289682\pi\) |
−0.394171 | + | 0.919037i | \(0.628968\pi\) | |||||||
\(824\) | −34.4166 | − | 0.230881i | −1.19896 | − | 0.00804313i | ||||
\(825\) | −13.3631 | − | 14.6404i | −0.465245 | − | 0.509712i | ||||
\(826\) | 0.794484 | − | 1.36901i | 0.0276436 | − | 0.0476339i | ||||
\(827\) | −22.8073 | + | 16.5705i | −0.793087 | + | 0.576211i | −0.908878 | − | 0.417062i | \(-0.863060\pi\) |
0.115791 | + | 0.993274i | \(0.463060\pi\) | |||||||
\(828\) | −18.7446 | − | 45.4905i | −0.651419 | − | 1.58091i | ||||
\(829\) | 15.1460 | − | 46.6147i | 0.526043 | − | 1.61900i | −0.236200 | − | 0.971704i | \(-0.575902\pi\) |
0.762243 | − | 0.647291i | \(-0.224098\pi\) | |||||||
\(830\) | −1.64574 | − | 8.54335i | −0.0571244 | − | 0.296544i | ||||
\(831\) | 27.7593 | + | 11.0326i | 0.962960 | + | 0.382716i | ||||
\(832\) | −28.1538 | − | 0.377753i | −0.976059 | − | 0.0130962i | ||||
\(833\) | 0.268192 | − | 0.0871410i | 0.00929231 | − | 0.00301926i | ||||
\(834\) | 7.72650 | − | 27.2997i | 0.267547 | − | 0.945312i | ||||
\(835\) | −2.62615 | − | 29.8271i | −0.0908815 | − | 1.03221i | ||||
\(836\) | 13.7128 | − | 30.4323i | 0.474266 | − | 1.05252i | ||||
\(837\) | 6.18929 | − | 2.88294i | 0.213933 | − | 0.0996489i | ||||
\(838\) | 1.22451 | + | 2.76693i | 0.0422999 | + | 0.0955818i | ||||
\(839\) | −11.6872 | + | 8.49125i | −0.403487 | + | 0.293150i | −0.770960 | − | 0.636884i | \(-0.780223\pi\) |
0.367473 | + | 0.930034i | \(0.380223\pi\) | |||||||
\(840\) | 23.4236 | − | 17.6334i | 0.808192 | − | 0.608410i | ||||
\(841\) | 7.40455 | + | 5.37972i | 0.255329 | + | 0.185508i | ||||
\(842\) | −2.29575 | + | 10.6831i | −0.0791168 | + | 0.368165i | ||||
\(843\) | 10.1726 | + | 8.43790i | 0.350364 | + | 0.290617i | ||||
\(844\) | 15.6419 | + | 14.2113i | 0.538418 | + | 0.489171i | ||||
\(845\) | 0.120177 | + | 1.36494i | 0.00413422 | + | 0.0469554i | ||||
\(846\) | 19.6539 | + | 15.0688i | 0.675716 | + | 0.518075i | ||||
\(847\) | 14.6647 | + | 4.76486i | 0.503886 | + | 0.163722i | ||||
\(848\) | 2.98270 | − | 0.286546i | 0.102426 | − | 0.00984003i | ||||
\(849\) | 26.5854 | + | 22.0518i | 0.912408 | + | 0.756816i | ||||
\(850\) | −12.1981 | − | 0.439779i | −0.418391 | − | 0.0150843i | ||||
\(851\) | −76.8581 | −2.63466 | ||||||||
\(852\) | −0.0687537 | + | 0.0336360i | −0.00235546 | + | 0.00115235i | ||||
\(853\) | −7.31821 | + | 22.5231i | −0.250571 | + | 0.771177i | 0.744099 | + | 0.668069i | \(0.232879\pi\) |
−0.994670 | + | 0.103108i | \(0.967121\pi\) | |||||||
\(854\) | 19.9571 | + | 22.2645i | 0.682917 | + | 0.761876i | ||||
\(855\) | 16.9843 | − | 45.8707i | 0.580849 | − | 1.56874i | ||||
\(856\) | −11.9626 | + | 3.79835i | −0.408872 | + | 0.129825i | ||||
\(857\) | 49.4486i | 1.68913i | 0.535450 | + | 0.844567i | \(0.320142\pi\) | ||||
−0.535450 | + | 0.844567i | \(0.679858\pi\) | |||||||
\(858\) | 12.2019 | + | 15.5075i | 0.416567 | + | 0.529416i | ||||
\(859\) | −20.9775 | + | 28.8731i | −0.715744 | + | 0.985137i | 0.283911 | + | 0.958851i | \(0.408368\pi\) |
−0.999654 | + | 0.0262859i | \(0.991632\pi\) | |||||||
\(860\) | −0.235741 | + | 11.0282i | −0.00803869 | + | 0.376059i | ||||
\(861\) | 2.31502 | − | 36.0460i | 0.0788958 | − | 1.22845i | ||||
\(862\) | −19.2180 | − | 43.4255i | −0.654569 | − | 1.47908i | ||||
\(863\) | 15.3400 | + | 11.1451i | 0.522179 | + | 0.379385i | 0.817424 | − | 0.576036i | \(-0.195401\pi\) |
−0.295245 | + | 0.955422i | \(0.595401\pi\) | |||||||
\(864\) | 23.6786 | − | 17.4161i | 0.805564 | − | 0.592509i | ||||
\(865\) | 14.5819 | + | 34.3000i | 0.495799 | + | 1.16624i | ||||
\(866\) | 14.1936 | + | 32.0722i | 0.482319 | + | 1.08986i | ||||
\(867\) | 22.5668 | + | 8.96890i | 0.766410 | + | 0.304600i | ||||
\(868\) | −3.48959 | − | 6.10706i | −0.118444 | − | 0.207287i | ||||
\(869\) | −22.4503 | + | 7.29455i | −0.761574 | + | 0.247451i | ||||
\(870\) | 4.25711 | + | 33.5627i | 0.144329 | + | 1.13788i | ||||
\(871\) | −2.40224 | − | 0.780536i | −0.0813969 | − | 0.0264474i | ||||
\(872\) | −41.6174 | − | 13.8316i | −1.40934 | − | 0.468399i | ||||
\(873\) | −18.1076 | − | 17.0933i | −0.612851 | − | 0.578520i | ||||
\(874\) | −42.4437 | + | 73.1365i | −1.43568 | + | 2.47388i | ||||
\(875\) | −18.7929 | + | 23.2862i | −0.635317 | + | 0.787216i | ||||
\(876\) | −19.7223 | − | 3.45307i | −0.666354 | − | 0.116668i | ||||
\(877\) | −9.85288 | + | 7.15854i | −0.332708 | + | 0.241727i | −0.741579 | − | 0.670866i | \(-0.765923\pi\) |
0.408871 | + | 0.912592i | \(0.365923\pi\) | |||||||
\(878\) | 1.23762 | + | 1.38071i | 0.0417677 | + | 0.0465968i | ||||
\(879\) | 15.7156 | − | 9.94472i | 0.530075 | − | 0.335427i | ||||
\(880\) | −14.0871 | + | 14.8547i | −0.474876 | + | 0.500751i | ||||
\(881\) | −44.9052 | + | 14.5906i | −1.51289 | + | 0.491569i | −0.943747 | − | 0.330668i | \(-0.892726\pi\) |
−0.569146 | + | 0.822236i | \(0.692726\pi\) | |||||||
\(882\) | 0.231101 | − | 0.653422i | 0.00778157 | − | 0.0220019i | ||||
\(883\) | −14.3659 | + | 4.66775i | −0.483450 | + | 0.157082i | −0.540594 | − | 0.841284i | \(-0.681800\pi\) |
0.0571443 | + | 0.998366i | \(0.481800\pi\) | |||||||
\(884\) | 12.0785 | + | 1.32414i | 0.406243 | + | 0.0445356i | ||||
\(885\) | −0.463869 | + | 1.55176i | −0.0155928 | + | 0.0521618i | ||||
\(886\) | 7.60915 | − | 0.782556i | 0.255635 | − | 0.0262905i | ||||
\(887\) | 15.6304 | + | 11.3562i | 0.524817 | + | 0.381302i | 0.818416 | − | 0.574627i | \(-0.194853\pi\) |
−0.293598 | + | 0.955929i | \(0.594853\pi\) | |||||||
\(888\) | −11.0623 | − | 44.5643i | −0.371228 | − | 1.49548i | ||||
\(889\) | 8.92585 | − | 6.48501i | 0.299363 | − | 0.217500i | ||||
\(890\) | −17.5875 | − | 31.8550i | −0.589534 | − | 1.06778i | ||||
\(891\) | −19.9255 | − | 5.22694i | −0.667530 | − | 0.175109i | ||||
\(892\) | 0.508781 | + | 0.462245i | 0.0170352 | + | 0.0154771i | ||||
\(893\) | − | 42.5641i | − | 1.42435i | ||||||
\(894\) | 19.5430 | − | 15.3773i | 0.653617 | − | 0.514294i | ||||
\(895\) | −24.4050 | + | 40.6676i | −0.815769 | + | 1.35937i | ||||
\(896\) | −19.9069 | − | 22.8172i | −0.665044 | − | 0.762269i | ||||
\(897\) | −26.7302 | − | 42.2417i | −0.892495 | − | 1.41041i | ||||
\(898\) | −0.721308 | − | 7.01361i | −0.0240703 | − | 0.234047i | ||||
\(899\) | 8.11633 | 0.270695 | ||||||||
\(900\) | −19.0995 | + | 23.1346i | −0.636648 | + | 0.771154i | ||||
\(901\) | −1.29311 | −0.0430796 | ||||||||
\(902\) | 2.58024 | + | 25.0889i | 0.0859125 | + | 0.835367i | ||||
\(903\) | 6.11420 | + | 9.66226i | 0.203468 | + | 0.321540i | ||||
\(904\) | −0.289815 | + | 0.872011i | −0.00963910 | + | 0.0290026i | ||||
\(905\) | 3.48386 | + | 39.5688i | 0.115807 | + | 1.31531i | ||||
\(906\) | 30.9948 | − | 24.3880i | 1.02973 | − | 0.810237i | ||||
\(907\) | 7.35888i | 0.244348i | 0.992509 | + | 0.122174i | \(0.0389865\pi\) | ||||
−0.992509 | + | 0.122174i | \(0.961013\pi\) | |||||||
\(908\) | −17.0511 | + | 18.7677i | −0.565862 | + | 0.622829i | ||||
\(909\) | 22.2098 | + | 10.5220i | 0.736653 | + | 0.348992i | ||||
\(910\) | 20.3522 | − | 21.7515i | 0.674669 | − | 0.721056i | ||||
\(911\) | 2.85291 | − | 2.07276i | 0.0945212 | − | 0.0686737i | −0.539521 | − | 0.841972i | \(-0.681395\pi\) |
0.634042 | + | 0.773299i | \(0.281395\pi\) | |||||||
\(912\) | −48.5154 | − | 14.0833i | −1.60651 | − | 0.466344i | ||||
\(913\) | 5.09467 | + | 3.70149i | 0.168609 | + | 0.122502i | ||||
\(914\) | −40.6899 | + | 4.18471i | −1.34590 | + | 0.138418i | ||||
\(915\) | −25.1702 | − | 17.3917i | −0.832100 | − | 0.574950i | ||||
\(916\) | −6.09619 | + | 55.6079i | −0.201424 | + | 1.83734i | ||||
\(917\) | −33.1985 | + | 10.7868i | −1.09631 | + | 0.356213i | ||||
\(918\) | −10.8904 | + | 6.50427i | −0.359436 | + | 0.214673i | ||||
\(919\) | 32.2887 | − | 10.4912i | 1.06511 | − | 0.346074i | 0.276526 | − | 0.961007i | \(-0.410817\pi\) |
0.788579 | + | 0.614933i | \(0.210817\pi\) | |||||||
\(920\) | 39.3498 | − | 33.7833i | 1.29733 | − | 1.11380i | ||||
\(921\) | 37.6971 | − | 23.8544i | 1.24216 | − | 0.786029i | ||||
\(922\) | 19.4479 | + | 21.6965i | 0.640483 | + | 0.714535i | ||||
\(923\) | −0.0629137 | + | 0.0457095i | −0.00207083 | + | 0.00150455i | ||||
\(924\) | −3.65981 | + | 20.9031i | −0.120399 | + | 0.687661i | ||||
\(925\) | 22.0469 | + | 41.3538i | 0.724897 | + | 1.35970i | ||||
\(926\) | 0.440173 | − | 0.758480i | 0.0144650 | − | 0.0249252i | ||||
\(927\) | 25.0588 | − | 26.5458i | 0.823040 | − | 0.871880i | ||||
\(928\) | 34.2566 | − | 6.88209i | 1.12453 | − | 0.225916i | ||||
\(929\) | −9.72721 | − | 3.16056i | −0.319139 | − | 0.103695i | 0.145067 | − | 0.989422i | \(-0.453660\pi\) |
−0.464206 | + | 0.885727i | \(0.653660\pi\) | |||||||
\(930\) | 4.92940 | + | 5.24399i | 0.161641 | + | 0.171957i | ||||
\(931\) | −1.13288 | + | 0.368095i | −0.0371287 | + | 0.0120638i | ||||
\(932\) | −4.76952 | + | 2.72532i | −0.156231 | + | 0.0892707i | ||||
\(933\) | 21.2316 | + | 8.43825i | 0.695093 | + | 0.276256i | ||||
\(934\) | −23.7948 | − | 53.7672i | −0.778589 | − | 1.75932i | ||||
\(935\) | 6.66444 | − | 5.79978i | 0.217950 | − | 0.189673i | ||||
\(936\) | 20.6455 | − | 21.5788i | 0.674819 | − | 0.705324i | ||||
\(937\) | 16.6808 | + | 12.1193i | 0.544937 | + | 0.395920i | 0.825915 | − | 0.563794i | \(-0.190659\pi\) |
−0.280978 | + | 0.959714i | \(0.590659\pi\) | |||||||
\(938\) | −1.09932 | − | 2.48404i | −0.0358939 | − | 0.0811067i | ||||
\(939\) | 3.17410 | − | 49.4223i | 0.103583 | − | 1.61283i | ||||
\(940\) | −8.59578 | + | 24.6497i | −0.280363 | + | 0.803984i | ||||
\(941\) | −26.9663 | + | 37.1159i | −0.879077 | + | 1.20995i | 0.0975990 | + | 0.995226i | \(0.468884\pi\) |
−0.976676 | + | 0.214720i | \(0.931116\pi\) | |||||||
\(942\) | −25.6339 | − | 32.5782i | −0.835197 | − | 1.06145i | ||||
\(943\) | − | 63.8934i | − | 2.08066i | ||||||
\(944\) | 1.63299 | + | 0.362399i | 0.0531494 | + | 0.0117951i | ||||
\(945\) | −3.24652 | + | 30.9276i | −0.105609 | + | 1.00607i | ||||
\(946\) | −5.32908 | − | 5.94523i | −0.173263 | − | 0.193296i | ||||
\(947\) | −1.98218 | + | 6.10053i | −0.0644123 | + | 0.198241i | −0.978083 | − | 0.208214i | \(-0.933235\pi\) |
0.913671 | + | 0.406454i | \(0.133235\pi\) | |||||||
\(948\) | 15.7001 | + | 32.0917i | 0.509915 | + | 1.04229i | ||||
\(949\) | −20.3428 | −0.660354 | ||||||||
\(950\) | 51.5264 | + | 1.85768i | 1.67174 | + | 0.0602713i | ||||
\(951\) | −5.80931 | − | 4.81865i | −0.188380 | − | 0.156256i | ||||
\(952\) | 7.60980 | + | 10.6231i | 0.246635 | + | 0.344297i | ||||
\(953\) | −23.3075 | − | 7.57306i | −0.755004 | − | 0.245316i | −0.0938709 | − | 0.995584i | \(-0.529924\pi\) |
−0.661133 | + | 0.750269i | \(0.729924\pi\) | |||||||
\(954\) | −1.93378 | + | 2.52219i | −0.0626084 | + | 0.0816590i | ||||
\(955\) | −9.83230 | − | 11.2982i | −0.318166 | − | 0.365600i | ||||
\(956\) | 1.34537 | − | 1.48081i | 0.0435122 | − | 0.0478927i | ||||
\(957\) | −18.8474 | − | 15.6334i | −0.609250 | − | 0.505355i | ||||
\(958\) | −2.69037 | + | 12.5195i | −0.0869219 | + | 0.404486i | ||||
\(959\) | −17.8556 | − | 12.9728i | −0.576587 | − | 0.418915i | ||||
\(960\) | 25.2521 | + | 17.9536i | 0.815009 | + | 0.579449i | ||||
\(961\) | −23.6827 | + | 17.2065i | −0.763957 | + | 0.555047i | ||||
\(962\) | −18.8796 | − | 42.6608i | −0.608704 | − | 1.37544i | ||||
\(963\) | 5.69957 | − | 12.0307i | 0.183666 | − | 0.387683i | ||||
\(964\) | 28.3320 | + | 12.7663i | 0.912511 | + | 0.411176i | ||||
\(965\) | 11.6870 | + | 2.69134i | 0.376216 | + | 0.0866375i | ||||
\(966\) | 14.6403 | − | 51.7279i | 0.471044 | − | 1.66432i | ||||
\(967\) | −4.98257 | + | 1.61894i | −0.160229 | + | 0.0520615i | −0.388033 | − | 0.921645i | \(-0.626845\pi\) |
0.227804 | + | 0.973707i | \(0.426845\pi\) | |||||||
\(968\) | −0.109311 | + | 16.2946i | −0.00351339 | + | 0.523729i | ||||
\(969\) | 20.2596 | + | 8.05192i | 0.650832 | + | 0.258665i | ||||
\(970\) | 11.1330 | − | 23.7702i | 0.357458 | − | 0.763214i | ||||
\(971\) | −12.3524 | + | 38.0167i | −0.396407 | + | 1.22002i | 0.531453 | + | 0.847088i | \(0.321646\pi\) |
−0.927860 | + | 0.372928i | \(0.878354\pi\) | |||||||
\(972\) | −3.59951 | + | 30.9684i | −0.115454 | + | 0.993313i | ||||
\(973\) | 25.0802 | − | 18.2218i | 0.804035 | − | 0.584165i | ||||
\(974\) | −10.6257 | + | 18.3095i | −0.340468 | + | 0.586675i | ||||
\(975\) | −15.0607 | + | 26.4994i | −0.482329 | + | 0.848659i | ||||
\(976\) | −16.0429 | + | 27.2219i | −0.513521 | + | 0.871352i | ||||
\(977\) | −8.62708 | − | 11.8742i | −0.276005 | − | 0.379888i | 0.648401 | − | 0.761299i | \(-0.275438\pi\) |
−0.924405 | + | 0.381411i | \(0.875438\pi\) | |||||||
\(978\) | 11.4032 | − | 0.437499i | 0.364633 | − | 0.0139897i | ||||
\(979\) | 25.0483 | + | 8.13870i | 0.800548 | + | 0.260114i | ||||
\(980\) | 0.730410 | + | 0.0156133i | 0.0233321 | + | 0.000498750i | ||||
\(981\) | 40.8206 | − | 22.3029i | 1.30330 | − | 0.712075i | ||||
\(982\) | 21.5562 | + | 12.5098i | 0.687885 | + | 0.399204i | ||||
\(983\) | 16.5544 | + | 50.9493i | 0.528004 | + | 1.62503i | 0.758298 | + | 0.651908i | \(0.226031\pi\) |
−0.230294 | + | 0.973121i | \(0.573969\pi\) | |||||||
\(984\) | 37.0470 | − | 9.19630i | 1.18102 | − | 0.293167i | ||||
\(985\) | −33.3908 | − | 20.0381i | −1.06392 | − | 0.638468i | ||||
\(986\) | −14.9997 | + | 1.54262i | −0.477686 | + | 0.0491271i | ||||
\(987\) | 6.69547 | + | 26.2190i | 0.213119 | + | 0.834562i | ||||
\(988\) | −51.0211 | − | 5.59334i | −1.62320 | − | 0.177948i | ||||
\(989\) | 11.8886 | + | 16.3633i | 0.378037 | + | 0.520323i | ||||
\(990\) | −1.34607 | − | 21.6722i | −0.0427810 | − | 0.688788i | ||||
\(991\) | 16.4909 | − | 22.6978i | 0.523851 | − | 0.721019i | −0.462327 | − | 0.886710i | \(-0.652985\pi\) |
0.986178 | + | 0.165690i | \(0.0529852\pi\) | |||||||
\(992\) | 5.03520 | − | 5.46795i | 0.159868 | − | 0.173608i | ||||
\(993\) | −34.4365 | − | 28.5640i | −1.09281 | − | 0.906452i | ||||
\(994\) | −0.0817657 | − | 0.0175710i | −0.00259345 | − | 0.000557319i | ||||
\(995\) | −0.277464 | + | 1.20487i | −0.00879619 | + | 0.0381968i | ||||
\(996\) | 4.46431 | − | 8.42061i | 0.141457 | − | 0.266817i | ||||
\(997\) | −10.2685 | + | 31.6032i | −0.325206 | + | 1.00088i | 0.646141 | + | 0.763218i | \(0.276382\pi\) |
−0.971347 | + | 0.237664i | \(0.923618\pi\) | |||||||
\(998\) | −5.44812 | − | 52.9746i | −0.172457 | − | 1.67688i | ||||
\(999\) | 42.5859 | + | 23.6292i | 1.34736 | + | 0.747596i |
(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 | 300.2.n.a.11.55 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.n.a.11.2 | ✓ | 224 | |
4.3 | odd | 2 | inner | 300.2.n.a.11.22 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.n.a.11.35 | yes | 224 | |
25.16 | even | 5 | inner | 300.2.n.a.191.35 | yes | 224 | |
75.41 | odd | 10 | inner | 300.2.n.a.191.22 | yes | 224 | |
100.91 | odd | 10 | inner | 300.2.n.a.191.2 | yes | 224 | |
300.191 | even | 10 | inner | 300.2.n.a.191.55 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.n.a.11.2 | ✓ | 224 | 3.2 | odd | 2 | inner | |
300.2.n.a.11.22 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.n.a.11.35 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.n.a.11.55 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.n.a.191.2 | yes | 224 | 100.91 | odd | 10 | inner | |
300.2.n.a.191.22 | yes | 224 | 75.41 | odd | 10 | inner | |
300.2.n.a.191.35 | yes | 224 | 25.16 | even | 5 | inner | |
300.2.n.a.191.55 | yes | 224 | 300.191 | even | 10 | inner |